Database - hmf_fields (Information on base fields for Hilbert modular forms)

Formats: - HTML - YAML - JSON - 2025-11-27T19:29:13.051255 - next page

Query: /api/hmf_fields/?_offset=0

Column	Type
degree	smallint
discriminant	bigint
ideals	jsonb
label	text
narrow_class_no	smallint
primes	jsonb

0. label: 3.3.49.1
   {'degree': 3, 'discriminant': 49, 'ideals': ['[1, 1, 1]', '[7, 7, 2*w^2 - w - 3]', '[8, 2, 2]', '[13, 13, -w^2 - w + 3]', '[13, 13, -w^2 + 2*w + 2]', '[13, 13, -2*w^2 + w + 2]', '[27, 3, 3]', '[29, 29, 3*w^2 - 2*w - 4]', '[29, 29, 2*w^2 + w - 4]', '[29, 29, -w^2 + 3*w + 1]', '[41, 41, w^2 - w - 5]', '[41, 41, 2*w^2 - 3*w - 4]', '[41, 41, -3*w^2 + w + 3]', '[43, 43, w^2 + 2*w - 5]', '[43, 43, 2*w^2 + w - 5]', '[43, 43, 3*w^2 - 2*w - 3]', '[49, 7, -w^2 + 3*w + 3]', '[56, 14, 4*w^2 - 2*w - 6]', '[64, 4, 4]', '[71, 71, 4*w^2 - 3*w - 5]', '[71, 71, 3*w^2 - 4*w - 5]', '[71, 71, -4*w^2 + w + 5]', '[83, 83, w^2 + w - 7]', '[83, 83, w^2 - 2*w - 6]', '[83, 83, -3*w^2 - 2*w + 5]', '[91, 91, w^2 - w - 6]', '[91, 91, -w^2 - 3]', '[91, 91, -w + 5]', '[97, 97, 3*w^2 + w - 7]', '[97, 97, 3*w^2 - 4*w - 7]', '[97, 97, 2*w^2 - w - 8]', '[104, 26, -2*w^2 - 2*w + 6]', '[104, 26, -2*w^2 + 4*w + 4]', '[104, 26, -4*w^2 + 2*w + 4]', '[113, 113, 3*w^2 + w - 8]', '[113, 113, 2*w^2 - 4*w - 5]', '[113, 113, 2*w^2 + 2*w - 7]', '[125, 5, -5]', '[127, 127, 2*w^2 - 9]', '[127, 127, -3*w^2 - 2*w + 6]', '[127, 127, -5*w^2 + 3*w + 7]', '[139, 139, 5*w^2 - 4*w - 6]', '[139, 139, 4*w^2 - 5*w - 7]', '[139, 139, -5*w^2 + w + 6]', '[167, 167, w^2 + w - 8]', '[167, 167, 6*w^2 - 4*w - 9]', '[167, 167, -4*w^2 - 2*w + 7]', '[169, 13, -3*w^2 - 2*w + 7]', '[169, 13, -5*w^2 + 3*w + 6]', '[169, 13, -2*w^2 + 5*w + 3]', '[169, 169, -w^2 + w + 7]', '[169, 169, w^2 + 4]', '[169, 169, -w + 6]', '[181, 181, 4*w^2 + w - 9]', '[181, 181, 4*w^2 - 5*w - 9]', '[181, 181, 2*w^2 - w - 9]', '[189, 21, 6*w^2 - 3*w - 9]', '[197, 197, 2*w - 7]', '[197, 197, 3*w^2 - 5*w - 6]', '[197, 197, 2*w^2 - 2*w - 9]', '[203, 203, 5*w^2 - 3*w - 5]', '[203, 203, 3*w^2 + 2*w - 8]', '[203, 203, -2*w^2 + 5*w + 4]', '[211, 211, 3*w^2 - 5*w - 7]', '[211, 211, 2*w^2 + 3*w - 8]', '[211, 211, 4*w^2 + w - 10]', '[216, 6, 6]', '[223, 223, 3*w^2 + 2*w - 9]', '[223, 223, 4*w^2 + w - 11]', '[223, 223, 3*w^2 + 2*w - 10]', '[232, 58, 6*w^2 - 4*w - 8]', '[232, 58, 4*w^2 + 2*w - 8]', '[232, 58, -2*w^2 + 6*w + 2]', '[239, 239, 6*w^2 - 5*w - 7]', '[239, 239, -5*w^2 + 6*w + 9]', '[239, 239, -6*w^2 + w + 7]', '[251, 251, w^2 - 3*w - 8]', '[251, 251, -3*w^2 + 2*w - 3]', '[251, 251, 2*w^2 + w - 11]', '[281, 281, -7*w^2 + 6*w + 9]', '[281, 281, 6*w^2 + w - 11]', '[281, 281, w^2 - 7*w]', '[287, 287, -7*w^2 + w + 16]', '[287, 287, w^2 - 2*w - 8]', '[287, 287, -9*w^2 + 4*w + 16]', '[293, 293, -7*w^2 + 2*w + 10]', '[293, 293, 5*w^2 - 7*w - 7]', '[293, 293, 2*w^2 + 5*w - 6]', '[301, 301, -6*w^2 + 7*w + 10]', '[301, 301, -w^2 - w - 5]', '[301, 301, -2*w^2 + w + 10]', '[307, 307, -3*w^2 + w - 3]', '[307, 307, 2*w^2 - 3*w - 10]', '[307, 307, w^2 + 2*w - 10]', '[328, 82, 2*w^2 - 2*w - 10]', '[328, 82, 4*w^2 - 6*w - 8]', '[328, 82, -6*w^2 + 2*w + 6]', '[337, 337, 7*w^2 - 3*w - 10]', '[337, 337, 7*w^2 - 4*w - 10]', '[337, 337, -4*w^2 - 3*w + 8]', '[343, 7, 7]', '[344, 86, 2*w^2 + 4*w - 10]', '[344, 86, 4*w^2 + 2*w - 10]', '[344, 86, 6*w^2 - 4*w - 6]', '[349, 349, 5*w^2 + w - 15]', '[349, 349, 7*w^2 - 8*w - 11]', '[349, 349, -6*w^2 + 5*w + 2]', '[351, 39, -3*w^2 - 3*w + 9]', '[351, 39, -3*w^2 + 6*w + 6]', '[351, 39, -6*w^2 + 3*w + 6]', '[377, 377, -w - 7]', '[377, 377, -3*w^2 - 3*w + 10]', '[377, 377, w^2 - w + 6]', '[377, 377, 3*w^2 - 6*w - 7]', '[377, 377, 6*w^2 - 3*w - 5]', '[377, 377, -7*w^2 + 5*w + 9]', '[377, 377, -2*w^2 + 7*w + 2]', '[377, 377, -5*w^2 - 2*w + 10]', '[377, 377, w^2 - 9]', '[379, 379, 3*w^2 + 3*w - 11]', '[379, 379, 4*w^2 + 2*w - 11]', '[379, 379, 5*w^2 + w - 14]', '[392, 14, -2*w^2 + 6*w + 6]', '[419, 419, -5*w^2 - 3*w + 9]', '[419, 419, 2*w^2 + w - 12]', '[419, 419, w^2 - 3*w - 9]', '[421, 421, 9*w^2 - 5*w - 15]', '[421, 421, 3*w^2 + 5*w - 7]', '[421, 421, 4*w^2 - w - 15]', '[433, 433, -8*w^2 + 7*w + 10]', '[433, 433, 7*w^2 + w - 13]', '[433, 433, w^2 - 8*w]', '[448, 28, 8*w^2 - 4*w - 12]', '[449, 449, -7*w^2 + 2*w + 8]', '[449, 449, 8*w^2 - 6*w - 11]', '[449, 449, -6*w^2 - 2*w + 11]', '[461, 461, 2*w^2 + 6*w - 7]', '[461, 461, -8*w^2 + 2*w + 11]', '[461, 461, 6*w^2 - 8*w - 9]', '[463, 463, -7*w^2 + 8*w + 12]', '[463, 463, w^2 + 7*w - 7]', '[463, 463, -8*w^2 + w + 10]', '[491, 491, w^2 + 2*w - 11]', '[491, 491, 4*w^2 - 7*w - 7]', '[491, 491, 2*w^2 - 3*w - 11]', '[497, 497, -8*w^2 + w + 20]', '[497, 497, -5*w^2 + 2*w + 17]', '[497, 497, 3*w^2 - 4*w - 13]', '[503, 503, 5*w^2 - 7*w - 10]', '[503, 503, 2*w^2 - 2*w - 11]', '[503, 503, -7*w^2 + 2*w + 7]', '[512, 8, 8]', '[533, 533, 3*w^2 - 2*w - 13]', '[533, 533, 6*w^2 + w - 14]', '[533, 533, 5*w^2 + 2*w - 12]', '[533, 533, -5*w^2 - 3*w + 10]', '[533, 533, 2*w^2 + w + 5]', '[533, 533, 8*w^2 - 5*w - 11]', '[533, 533, 5*w^2 - 7*w - 12]', '[533, 533, 8*w^2 - 3*w - 11]', '[533, 533, -2*w^2 + 7*w + 4]', '[547, 547, 4*w^2 + 3*w - 15]', '[547, 547, -3*w^2 + 10*w]', '[547, 547, -7*w^2 + 4*w + 3]', '[559, 559, 8*w^2 - 7*w - 9]', '[559, 559, -w^2 + w - 7]', '[559, 559, 4*w^2 + 3]', '[559, 559, 4*w - 11]', '[559, 559, 5*w^2 - 9*w - 5]', '[559, 559, 4*w^2 + 3*w - 11]', '[559, 559, -4*w^2 - 5*w + 8]', '[559, 559, 4*w^2 - 8*w - 5]', '[559, 559, -w^2 + 8*w + 1]', '[568, 142, 8*w^2 - 6*w - 10]', '[568, 142, 6*w^2 - 8*w - 10]', '[568, 142, -8*w^2 + 2*w + 10]', '[581, 581, -11*w^2 + 8*w + 18]', '[581, 581, -12*w^2 + 4*w + 21]', '[581, 581, 2*w^2 - 7*w - 8]', '[587, 587, 6*w^2 + w - 17]', '[587, 587, 5*w^2 - 3*w - 17]', '[587, 587, w^2 - 7*w - 6]', '[601, 601, 4*w^2 + 3*w - 14]', '[601, 601, 4*w^2 + 3*w - 12]', '[601, 601, 6*w^2 + w - 16]', '[617, 617, 5*w^2 + 2*w - 14]', '[617, 617, 4*w^2 + 3*w - 13]', '[617, 617, 5*w^2 + 2*w - 15]', '[631, 631, -9*w^2 + 8*w + 11]', '[631, 631, 8*w^2 + w - 15]', '[631, 631, w^2 - 9*w]', '[637, 91, -8*w^2 + 3*w + 10]', '[637, 91, 3*w^2 + 5*w - 9]', '[637, 91, 5*w^2 - 8*w - 8]', '[643, 643, 6*w^2 - 9*w - 8]', '[643, 643, 3*w^2 + 6*w - 8]', '[643, 643, 4*w^2 - w - 16]', '[659, 659, -8*w^2 + 2*w + 9]', '[659, 659, 9*w^2 - 7*w - 12]', '[659, 659, 7*w^2 + 2*w - 13]', '[664, 166, 2*w^2 + 2*w - 14]', '[664, 166, 2*w^2 - 4*w - 12]', '[664, 166, -6*w^2 - 4*w + 10]', '[673, 673, -8*w^2 + 9*w + 14]', '[673, 673, w^2 + 8*w - 8]', '[673, 673, -9*w^2 + w + 11]', '[679, 679, -12*w^2 + 3*w + 26]', '[679, 679, -7*w^2 + 8*w + 16]', '[679, 679, -13*w^2 + 7*w + 24]', '[701, 701, 9*w^2 - 4*w - 13]', '[701, 701, -5*w^2 - 4*w + 10]', '[701, 701, -4*w^2 - 5*w + 9]', '[727, 727, -7*w^2 - 3*w + 12]', '[727, 727, w^2 + 2*w - 12]', '[727, 727, 10*w^2 - 7*w - 15]', '[728, 182, 2*w^2 - 2*w - 12]', '[728, 182, -2*w^2 - 6]', '[728, 182, -2*w + 10]', '[729, 9, 9]', '[743, 743, 5*w^2 - 2*w - 18]', '[743, 743, 4*w^2 - 5*w - 16]', '[743, 743, w^2 + 4*w - 14]', '[757, 757, 11*w^2 - 7*w - 18]', '[757, 757, w^2 + 3*w - 13]', '[757, 757, 3*w^2 + 5*w - 15]', '[769, 769, 2*w^2 - 11*w + 1]', '[769, 769, -10*w^2 + w + 13]', '[769, 769, 9*w^2 + 2*w - 15]', '[776, 194, 6*w^2 + 2*w - 14]', '[776, 194, 6*w^2 - 8*w - 14]', '[776, 194, 4*w^2 - 2*w - 16]', '[783, 87, 9*w^2 - 6*w - 12]', '[783, 87, 6*w^2 + 3*w - 12]', '[783, 87, -3*w^2 + 9*w + 3]', '[791, 791, -9*w^2 + 9*w + 19]', '[791, 791, -8*w^2 + 9*w + 15]', '[791, 791, -10*w^2 + w + 21]', '[797, 797, -8*w^2 + 5*w + 3]', '[797, 797, -3*w^2 + 11*w]', '[797, 797, 5*w^2 + 3*w - 18]', '[811, 811, -9*w^2 + 2*w + 11]', '[811, 811, 7*w^2 - 9*w - 12]', '[811, 811, 9*w^2 - 7*w - 11]', '[827, 827, 3*w^2 + 5*w - 14]', '[827, 827, 5*w^2 + 3*w - 13]', '[827, 827, 8*w^2 - 21]', '[832, 52, -4*w^2 - 4*w + 12]', '[832, 52, -4*w^2 + 8*w + 8]', '[832, 52, -8*w^2 + 4*w + 8]', '[839, 839, -6*w^2 - 4*w + 11]', '[839, 839, w^2 - 4*w - 11]', '[839, 839, 3*w^2 + w - 16]', '[841, 29, 8*w^2 - 3*w - 7]', '[841, 29, -5*w^2 + 8*w + 11]', '[841, 29, 3*w^2 + 5*w - 12]', '[841, 841, -4*w^2 + 9*w + 5]', '[841, 841, 5*w^2 + 4*w - 11]', '[841, 841, 9*w^2 - 5*w - 12]', '[853, 853, -8*w^2 + 7*w + 3]', '[853, 853, 7*w^2 + w - 20]', '[853, 853, w^2 - 8*w - 7]', '[875, 35, -10*w^2 + 5*w + 15]', '[881, 881, -10*w^2 + 9*w + 12]', '[881, 881, 9*w^2 + w - 17]', '[881, 881, w^2 - 10*w]', '[883, 883, 7*w^2 + w - 18]', '[883, 883, -8*w^2 + 5*w + 4]', '[883, 883, 5*w^2 + 3*w - 17]', '[889, 889, 4*w^2 - 8*w - 11]', '[889, 889, -14*w^2 + 9*w + 25]', '[889, 889, -3*w^2 + 8*w + 7]', '[904, 226, 6*w^2 + 2*w - 16]', '[904, 226, 4*w^2 - 8*w - 10]', '[904, 226, 4*w^2 + 4*w - 14]', '[911, 911, 10*w^2 - 7*w - 14]', '[911, 911, 2*w^2 + w - 14]', '[911, 911, -7*w^2 - 3*w + 13]', '[923, 923, w^2 + w - 12]', '[923, 923, 10*w^2 - 8*w - 13]', '[923, 923, 6*w^2 + 2*w - 17]', '[923, 923, w^2 + 3*w + 8]', '[923, 923, 7*w^2 - 10*w - 10]', '[923, 923, 5*w^2 + 3*w - 15]', '[923, 923, -8*w^2 - 2*w + 15]', '[923, 923, 4*w^2 - w - 17]', '[923, 923, -3*w^2 + 8*w + 8]', '[937, 937, -9*w^2 + 10*w + 16]', '[937, 937, w^2 + 9*w - 9]', '[937, 937, -10*w^2 + w + 12]', '[953, 953, 9*w^2 - 7*w - 10]', '[953, 953, -10*w^2 + 2*w + 13]', '[953, 953, 8*w^2 - 10*w - 13]', '[967, 967, 2*w^2 + 2*w - 15]', '[967, 967, 11*w^2 - 7*w - 17]', '[967, 967, -7*w^2 - 4*w + 12]', '[973, 973, -11*w^2 + 2*w + 27]', '[973, 973, -6*w^2 + 2*w + 21]', '[973, 973, 3*w^2 - 5*w - 15]', '[1000, 10, -10]', '[1009, 1009, 2*w^2 - 11*w]', '[1009, 1009, 9*w^2 + 2*w - 16]', '[1009, 1009, -11*w^2 + 9*w + 15]', '[1016, 254, 4*w^2 - 18]', '[1016, 254, -6*w^2 - 4*w + 12]', '[1016, 254, -10*w^2 + 6*w + 14]', '[1021, 1021, 10*w^2 - w - 23]', '[1021, 1021, -8*w^2 - 3*w + 14]', '[1021, 1021, 11*w^2 - 8*w - 16]', '[1049, 1049, 4*w^2 + w - 19]', '[1049, 1049, w^2 - 5*w - 12]', '[1049, 1049, -5*w^2 + 4*w - 5]', '[1051, 1051, 3*w^2 + 8*w - 9]', '[1051, 1051, -11*w^2 + 3*w + 16]', '[1051, 1051, 8*w^2 - 11*w - 11]', '[1063, 1063, -11*w^2 + w + 14]', '[1063, 1063, 10*w^2 + 2*w - 17]', '[1063, 1063, 2*w^2 - 12*w + 1]', '[1079, 1079, 10*w^2 - 9*w - 11]', '[1079, 1079, 9*w^2 + w - 18]', '[1079, 1079, w^2 + 9*w + 3]', '[1079, 1079, 4*w^2 + 5*w - 18]', '[1079, 1079, 2*w^2 + 2*w + 7]', '[1079, 1079, 5*w^2 - 9*w - 15]', '[1079, 1079, 9*w^2 - 11*w - 14]', '[1079, 1079, -10*w^2 + w + 11]', '[1079, 1079, 11*w^2 - 2*w - 15]', '[1091, 1091, w^2 + 4*w - 15]', '[1091, 1091, 3*w^2 + 6*w - 16]', '[1091, 1091, 8*w^2 - 12*w - 9]', '[1093, 1093, 3*w^2 - 16]', '[1093, 1093, 7*w^2 - 10*w - 11]', '[1093, 1093, 10*w^2 - 7*w - 13]', '[1107, 123, 3*w^2 - 3*w - 15]', '[1107, 123, 6*w^2 - 9*w - 12]', '[1107, 123, -9*w^2 + 3*w + 9]', '[1112, 278, 10*w^2 - 8*w - 12]', '[1112, 278, 8*w^2 - 10*w - 14]', '[1112, 278, -10*w^2 + 2*w + 12]', '[1161, 129, 3*w^2 + 6*w - 15]', '[1161, 129, 6*w^2 + 3*w - 15]', '[1161, 129, 9*w^2 - 6*w - 9]', '[1163, 1163, 2*w^2 - 9*w - 10]', '[1163, 1163, 7*w^2 + 2*w - 22]', '[1163, 1163, -9*w^2 + 7*w + 3]', '[1169, 1169, 4*w^2 - 9*w - 13]', '[1169, 1169, -10*w^2 + 5*w + 29]', '[1169, 1169, -13*w^2 + 9*w + 21]', '[1183, 91, 7*w^2 + 2*w - 17]', '[1183, 91, -9*w^2 + 7*w + 8]', '[1183, 91, 2*w^2 - 9*w - 5]', '[1183, 1183, 4*w^2 + 6*w - 11]', '[1183, 1183, 10*w^2 - 4*w - 13]', '[1183, 1183, -6*w^2 + 10*w + 9]', '[1189, 1189, w^2 - w - 12]', '[1189, 1189, -9*w^2 + 23]', '[1189, 1189, 4*w^2 - 9*w - 8]', '[1189, 1189, -9*w - 5]', '[1189, 1189, -11*w^2 + 4*w + 16]', '[1189, 1189, -13*w^2 + 7*w + 22]', '[1189, 1189, -4*w^2 - 7*w + 10]', '[1189, 1189, -10*w^2 - w + 19]', '[1189, 1189, w - 11]', '[1217, 1217, 3*w^2 + 2*w - 18]', '[1217, 1217, 12*w^2 - 5*w - 19]', '[1217, 1217, 2*w^2 - 5*w - 14]', '[1231, 1231, 6*w^2 + 3*w - 20]', '[1231, 1231, 8*w^2 + w - 20]', '[1231, 1231, -9*w^2 + 6*w + 4]', '[1247, 1247, -w^2 - w + 13]', '[1247, 1247, 2*w^2 + 8*w - 11]', '[1247, 1247, -2*w^2 - w + 15]', '[1247, 1247, 10*w^2 - 12*w - 5]', '[1247, 1247, -10*w^2 + 13*w + 13]', '[1247, 1247, -2*w^2 - 10*w - 1]', '[1247, 1247, -3*w^2 - 10*w + 9]', '[1247, 1247, -2*w^2 + w - 8]', '[1247, 1247, -3*w^2 + 9*w + 7]', '[1259, 1259, -9*w^2 + 7*w + 4]', '[1259, 1259, 7*w^2 + 2*w - 18]', '[1259, 1259, 7*w^2 + 2*w - 21]', '[1261, 1261, 9*w^2 + w - 19]', '[1261, 1261, 9*w^2 - 10*w - 19]', '[1261, 1261, 8*w^2 + w - 21]', '[1261, 1261, 4*w^2 - 9*w - 9]', '[1261, 1261, 6*w^2 - 5*w - 21]', '[1261, 1261, 12*w^2 - 6*w - 19]', '[1261, 1261, 11*w^2 - 5*w - 16]', '[1261, 1261, 2*w^2 - w - 14]', '[1261, 1261, 11*w^2 - 6*w - 16]', '[1267, 1267, -9*w^2 + 10*w + 21]', '[1267, 1267, -15*w^2 + 8*w + 27]', '[1267, 1267, -15*w^2 + 4*w + 33]', '[1289, 1289, 10*w^2 - 8*w - 11]', '[1289, 1289, 9*w^2 - 11*w - 15]', '[1289, 1289, -11*w^2 + 2*w + 14]', '[1301, 1301, 6*w^2 + 3*w - 19]', '[1301, 1301, 7*w^2 + 2*w - 19]', '[1301, 1301, 5*w^2 + 4*w - 16]', '[1303, 1303, 7*w^2 + 2*w - 20]', '[1303, 1303, 5*w^2 + 4*w - 17]', '[1303, 1303, 6*w^2 + 3*w - 17]', '[1323, 21, -3*w^2 + 9*w + 9]', '[1331, 11, -11]', '[1336, 334, 2*w^2 + 2*w - 16]', '[1336, 334, 12*w^2 - 8*w - 18]', '[1336, 334, -8*w^2 - 4*w + 14]', '[1352, 26, -6*w^2 - 4*w + 14]', '[1352, 26, -10*w^2 + 6*w + 12]', '[1352, 26, -4*w^2 + 10*w + 6]', '[1352, 338, -2*w^2 + 2*w + 14]', '[1352, 338, 2*w^2 + 8]', '[1352, 338, -2*w + 12]', '[1373, 1373, 2*w^2 + 3*w - 17]', '[1373, 1373, 3*w^2 - 5*w - 16]', '[1373, 1373, -8*w^2 - 5*w + 13]', '[1379, 1379, -11*w^2 + w + 25]', '[1379, 1379, -12*w^2 + 9*w + 17]', '[1379, 1379, -16*w^2 + 7*w + 29]', '[1399, 1399, -7*w^2 - 4*w + 14]', '[1399, 1399, 4*w^2 - 19]', '[1399, 1399, 7*w^2 - 14*w - 4]', '[1421, 203, w^2 - 3*w + 11]', '[1421, 203, -3*w^2 + 2*w + 16]', '[1421, 203, 2*w^2 + w + 8]', '[1427, 1427, -12*w^2 + 3*w + 17]', '[1427, 1427, 9*w^2 - 12*w - 13]', '[1427, 1427, 3*w^2 + 9*w - 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7]', '[97, 97, 3*w^2 - 4*w - 7]', '[97, 97, 2*w^2 - w - 8]', '[113, 113, 3*w^2 + w - 8]', '[113, 113, 2*w^2 - 4*w - 5]', '[113, 113, 2*w^2 + 2*w - 7]', '[125, 5, -5]', '[127, 127, 2*w^2 - 9]', '[127, 127, -3*w^2 - 2*w + 6]', '[127, 127, -5*w^2 + 3*w + 7]', '[139, 139, 5*w^2 - 4*w - 6]', '[139, 139, 4*w^2 - 5*w - 7]', '[139, 139, -5*w^2 + w + 6]', '[167, 167, w^2 + w - 8]', '[167, 167, 6*w^2 - 4*w - 9]', '[167, 167, -4*w^2 - 2*w + 7]', '[181, 181, 4*w^2 + w - 9]', '[181, 181, 4*w^2 - 5*w - 9]', '[181, 181, 2*w^2 - w - 9]', '[197, 197, 2*w - 7]', '[197, 197, 3*w^2 - 5*w - 6]', '[197, 197, 2*w^2 - 2*w - 9]', '[211, 211, 3*w^2 - 5*w - 7]', '[211, 211, 2*w^2 + 3*w - 8]', '[211, 211, 4*w^2 + w - 10]', '[223, 223, 3*w^2 + 2*w - 9]', '[223, 223, 4*w^2 + w - 11]', '[223, 223, 3*w^2 + 2*w - 10]', '[239, 239, 6*w^2 - 5*w - 7]', '[239, 239, -5*w^2 + 6*w + 9]', '[239, 239, -6*w^2 + w + 7]', '[251, 251, w^2 - 3*w - 8]', '[251, 251, -3*w^2 + 2*w - 3]', '[251, 251, 2*w^2 + w - 11]', '[281, 281, -7*w^2 + 6*w + 9]', '[281, 281, 6*w^2 + w - 11]', '[281, 281, w^2 - 7*w]', '[293, 293, -7*w^2 + 2*w + 10]', '[293, 293, 5*w^2 - 7*w - 7]', '[293, 293, 2*w^2 + 5*w - 6]', '[307, 307, -3*w^2 + w - 3]', '[307, 307, 2*w^2 - 3*w - 10]', '[307, 307, w^2 + 2*w - 10]', '[337, 337, 7*w^2 - 3*w - 10]', '[337, 337, 7*w^2 - 4*w - 10]', '[337, 337, -4*w^2 - 3*w + 8]', '[349, 349, 5*w^2 + w - 15]', '[349, 349, 7*w^2 - 8*w - 11]', '[349, 349, -6*w^2 + 5*w + 2]', '[379, 379, 3*w^2 + 3*w - 11]', '[379, 379, 4*w^2 + 2*w - 11]', '[379, 379, 5*w^2 + w - 14]', '[419, 419, -5*w^2 - 3*w + 9]', '[419, 419, 2*w^2 + w - 12]', '[419, 419, w^2 - 3*w - 9]', '[421, 421, 9*w^2 - 5*w - 15]', '[421, 421, 3*w^2 + 5*w - 7]', '[421, 421, 4*w^2 - w - 15]', '[433, 433, -8*w^2 + 7*w + 10]', '[433, 433, 7*w^2 + w - 13]', '[433, 433, w^2 - 8*w]', '[449, 449, -7*w^2 + 2*w + 8]', '[449, 449, 8*w^2 - 6*w - 11]', '[449, 449, -6*w^2 - 2*w + 11]', '[461, 461, 2*w^2 + 6*w - 7]', '[461, 461, -8*w^2 + 2*w + 11]', '[461, 461, 6*w^2 - 8*w - 9]', '[463, 463, -7*w^2 + 8*w + 12]', '[463, 463, w^2 + 7*w - 7]', '[463, 463, -8*w^2 + w + 10]', '[491, 491, w^2 + 2*w - 11]', '[491, 491, 4*w^2 - 7*w - 7]', '[491, 491, 2*w^2 - 3*w - 11]', '[503, 503, 5*w^2 - 7*w - 10]', '[503, 503, 2*w^2 - 2*w - 11]', '[503, 503, -7*w^2 + 2*w + 7]', '[547, 547, 4*w^2 + 3*w - 15]', '[547, 547, -3*w^2 + 10*w]', '[547, 547, -7*w^2 + 4*w + 3]', '[587, 587, 6*w^2 + w - 17]', '[587, 587, 5*w^2 - 3*w - 17]', '[587, 587, w^2 - 7*w - 6]', '[601, 601, 4*w^2 + 3*w - 14]', '[601, 601, 4*w^2 + 3*w - 12]', '[601, 601, 6*w^2 + w - 16]', '[617, 617, 5*w^2 + 2*w - 14]', '[617, 617, 4*w^2 + 3*w - 13]', '[617, 617, 5*w^2 + 2*w - 15]', '[631, 631, -9*w^2 + 8*w + 11]', '[631, 631, 8*w^2 + w - 15]', '[631, 631, w^2 - 9*w]', '[643, 643, 6*w^2 - 9*w - 8]', '[643, 643, 3*w^2 + 6*w - 8]', '[643, 643, 4*w^2 - w - 16]', '[659, 659, -8*w^2 + 2*w + 9]', '[659, 659, 9*w^2 - 7*w - 12]', '[659, 659, 7*w^2 + 2*w - 13]', '[673, 673, -8*w^2 + 9*w + 14]', '[673, 673, w^2 + 8*w - 8]', '[673, 673, -9*w^2 + w + 11]', '[701, 701, 9*w^2 - 4*w - 13]', '[701, 701, -5*w^2 - 4*w + 10]', '[701, 701, -4*w^2 - 5*w + 9]', '[727, 727, -7*w^2 - 3*w + 12]', '[727, 727, w^2 + 2*w - 12]', '[727, 727, 10*w^2 - 7*w - 15]', '[743, 743, 5*w^2 - 2*w - 18]', '[743, 743, 4*w^2 - 5*w - 16]', '[743, 743, w^2 + 4*w - 14]', '[757, 757, 11*w^2 - 7*w - 18]', '[757, 757, w^2 + 3*w - 13]', '[757, 757, 3*w^2 + 5*w - 15]', '[769, 769, 2*w^2 - 11*w + 1]', '[769, 769, -10*w^2 + w + 13]', '[769, 769, 9*w^2 + 2*w - 15]', '[797, 797, -8*w^2 + 5*w + 3]', '[797, 797, -3*w^2 + 11*w]', '[797, 797, 5*w^2 + 3*w - 18]', '[811, 811, -9*w^2 + 2*w + 11]', '[811, 811, 7*w^2 - 9*w - 12]', '[811, 811, 9*w^2 - 7*w - 11]', '[827, 827, 3*w^2 + 5*w - 14]', '[827, 827, 5*w^2 + 3*w - 13]', '[827, 827, 8*w^2 - 21]', '[839, 839, -6*w^2 - 4*w + 11]', '[839, 839, w^2 - 4*w - 11]', '[839, 839, 3*w^2 + w - 16]', '[853, 853, -8*w^2 + 7*w + 3]', '[853, 853, 7*w^2 + w - 20]', '[853, 853, w^2 - 8*w - 7]', '[881, 881, -10*w^2 + 9*w + 12]', '[881, 881, 9*w^2 + w - 17]', '[881, 881, w^2 - 10*w]', '[883, 883, 7*w^2 + w - 18]', '[883, 883, -8*w^2 + 5*w + 4]', '[883, 883, 5*w^2 + 3*w - 17]', '[911, 911, 10*w^2 - 7*w - 14]', '[911, 911, 2*w^2 + w - 14]', '[911, 911, -7*w^2 - 3*w + 13]', '[937, 937, -9*w^2 + 10*w + 16]', '[937, 937, w^2 + 9*w - 9]', '[937, 937, -10*w^2 + w + 12]', '[953, 953, 9*w^2 - 7*w - 10]', '[953, 953, -10*w^2 + 2*w + 13]', '[953, 953, 8*w^2 - 10*w - 13]', '[967, 967, 2*w^2 + 2*w - 15]', '[967, 967, 11*w^2 - 7*w - 17]', '[967, 967, -7*w^2 - 4*w + 12]']}
1. label: 3.3.81.1
   {'degree': 3, 'discriminant': 81, 'ideals': ['[1, 1, 1]', '[3, 3, -w + 1]', '[8, 2, 2]', '[9, 3, -w^2 - w + 2]', '[17, 17, -2*w^2 + w + 3]', '[17, 17, -w^2 - w + 3]', '[17, 17, -w^2 + 2*w + 3]', '[19, 19, -2*w^2 + 2*w + 5]', '[19, 19, -2*w^2 + 3]', '[19, 19, -2*w + 1]', '[24, 6, -2*w + 2]', '[27, 3, 3]', '[37, 37, -w^2 + 3*w + 3]', '[37, 37, 2*w^2 + w - 5]', '[37, 37, 3*w^2 - 2*w - 5]', '[51, 51, -3*w^2 + 2*w + 4]', '[51, 51, -2*w^2 - w + 6]', '[51, 51, -w^2 + 3*w + 4]', '[53, 53, -w - 4]', '[53, 53, -w^2 + w - 2]', '[53, 53, w^2 - 6]', '[57, 57, -2*w^2 + 3*w + 5]', '[57, 57, -w^2 - 2*w + 3]', '[57, 57, -3*w^2 + w + 5]', '[64, 4, 4]', '[71, 71, w^2 + w - 7]', '[71, 71, w^2 - 2*w - 7]', '[71, 71, -2*w^2 + w - 1]', '[72, 6, -2*w^2 - 2*w + 4]', '[73, 73, 3*w^2 - 3*w - 8]', '[73, 73, 2*w^2 - 3*w - 7]', '[73, 73, w^2 + 2*w - 5]', '[81, 9, -3*w + 3]', '[89, 89, -w^2 + 4*w + 4]', '[89, 89, 3*w^2 + w - 8]', '[89, 89, 2*w^2 - w - 9]', '[107, 107, 2*w^2 - 4*w - 5]', '[107, 107, 4*w^2 - 2*w - 7]', '[107, 107, 2*w^2 + 2*w - 5]', '[109, 109, w^2 - w - 7]', '[109, 109, -w^2 - 3]', '[109, 109, w - 5]', '[111, 111, -4*w^2 + 3*w + 4]', '[111, 111, 5*w^2 - 6*w - 8]', '[111, 111, w^2 - 7]', '[125, 5, -5]', '[127, 127, -5*w^2 + 4*w + 8]', '[127, 127, 4*w^2 + w - 10]', '[127, 127, -w^2 + 5*w + 4]', '[136, 34, -4*w^2 + 2*w + 6]', '[136, 34, -2*w^2 - 2*w + 6]', '[136, 34, -2*w^2 + 4*w + 6]', '[152, 38, -4*w^2 + 4*w + 10]', '[152, 38, -4*w^2 + 6]', '[152, 38, -4*w + 2]', '[153, 51, -2*w^2 + 4*w + 7]', '[153, 51, -4*w^2 + 2*w + 5]', '[153, 51, -2*w^2 - 2*w + 7]', '[159, 159, -2*w^2 + 6*w - 1]', '[159, 159, w^2 + 3*w - 7]', '[159, 159, w^2 + 3*w - 4]', '[163, 163, 5*w^2 - 2*w - 10]', '[163, 163, 5*w^2 - 3*w - 9]', '[163, 163, 3*w^2 + 2*w - 7]', '[171, 57, w^2 - 2*w + 4]', '[171, 57, -2*w^2 + w + 10]', '[171, 57, w^2 + w + 4]', '[179, 179, 3*w^2 - 4*w - 9]', '[179, 179, 4*w^2 - w - 5]', '[179, 179, w^2 + 3*w - 5]', '[181, 181, w^2 + 3*w - 6]', '[181, 181, 4*w^2 - 4*w - 11]', '[181, 181, 3*w^2 - 4*w - 10]', '[192, 12, -4*w + 4]', '[197, 197, w^2 - w - 8]', '[197, 197, -w^2 - 4]', '[197, 197, w - 6]', '[199, 199, -w - 6]', '[199, 199, -w^2 + w - 4]', '[199, 199, w^2 - 8]', '[213, 213, 5*w - 8]', '[213, 213, 3*w^2 + 2*w - 8]', '[213, 213, -3*w^2 + 8*w + 1]', '[216, 6, 6]', '[219, 219, -w^2 + 4*w - 6]', '[219, 219, 6*w^2 - 4*w - 11]', '[219, 219, 5*w^2 - 2*w - 9]', '[233, 233, 5*w^2 + w - 13]', '[233, 233, -6*w^2 + 5*w + 9]', '[233, 233, -w^2 + 6*w + 5]', '[243, 9, -3*w^2 - 3*w + 6]', '[251, 251, 3*w^2 + 2*w - 9]', '[251, 251, 2*w^2 - 2*w - 11]', '[251, 251, 2*w^2 - 5*w - 7]', '[267, 267, 2*w^2 - 11]', '[267, 267, 3*w^2 + 2*w - 11]', '[267, 267, -5*w^2 + 3*w + 5]', '[269, 269, -5*w^2 + 2*w + 8]', '[269, 269, 3*w^2 - 5*w - 8]', '[269, 269, 2*w^2 + 3*w - 6]', '[271, 271, w^2 + w - 9]', '[271, 271, 6*w^2 - 5*w - 15]', '[271, 271, 3*w^2 + 2*w - 10]', '[289, 17, -4*w^2 + 5*w + 10]', '[289, 17, -5*w^2 + w + 8]', '[289, 17, -w^2 - 4*w + 4]', '[289, 289, w^2 - 2*w + 5]', '[289, 289, w^2 + w + 5]', '[289, 289, -2*w^2 + w + 11]', '[296, 74, -2*w^2 + 6*w + 6]', '[296, 74, 4*w^2 + 2*w - 10]', '[296, 74, 6*w^2 - 4*w - 10]', '[307, 307, 3*w^2 - 5*w - 9]', '[307, 307, 5*w^2 - 2*w - 7]', '[307, 307, 2*w^2 + 3*w - 7]', '[321, 321, 6*w^2 - 5*w - 7]', '[321, 321, 6*w^2 - 7*w - 11]', '[321, 321, w - 7]', '[323, 323, w + 7]', '[323, 323, -5*w^2 + 7]', '[323, 323, w^2 - w + 5]', '[323, 323, -5*w + 3]', '[323, 323, -3*w^2 + 6*w + 7]', '[323, 323, -5*w^2 + 5*w + 13]', '[323, 323, -6*w^2 + 3*w + 11]', '[323, 323, -w^2 + 9]', '[323, 323, -3*w^2 - 3*w + 7]', '[327, 327, 2*w^2 + 3*w - 8]', '[327, 327, -w^2 + 6*w - 5]', '[327, 327, -w^2 + 6*w - 2]', '[333, 111, -5*w^2 - 2*w + 4]', '[333, 111, 2*w^2 - 4*w - 13]', '[333, 111, 4*w^2 - 5*w - 11]', '[343, 7, -7]', '[359, 359, -w^2 + 6*w - 3]', '[359, 359, 6*w^2 - 5*w - 17]', '[359, 359, 5*w^2 - 5*w - 16]', '[361, 19, -4*w^2 - 2*w + 11]', '[361, 19, -2*w^2 + 6*w + 7]', '[361, 19, -6*w^2 + 4*w + 9]', '[361, 361, -5*w^2 + 6]', '[361, 361, -5*w^2 + 5*w + 14]', '[361, 361, -5*w + 4]', '[375, 15, 5*w - 5]', '[379, 379, -2*w^2 + 7*w + 6]', '[379, 379, 7*w^2 - 5*w - 12]', '[379, 379, 5*w^2 + 2*w - 12]', '[381, 381, -6*w^2 + 4*w + 5]', '[381, 381, -9*w^2 + 11*w + 13]', '[381, 381, 3*w^2 - w - 14]', '[397, 397, 8*w^2 - 5*w - 16]', '[397, 397, 6*w^2 - 3*w - 10]', '[397, 397, 3*w^2 - 6*w - 8]', '[408, 102, -6*w^2 + 4*w + 8]', '[408, 102, -4*w^2 - 2*w + 12]', '[408, 102, -2*w^2 + 6*w + 8]', '[424, 106, -2*w - 8]', '[424, 106, -2*w^2 + 2*w - 4]', '[424, 106, 2*w^2 - 12]', '[431, 431, -w^2 + 7*w - 1]', '[431, 431, -6*w^2 + 4*w + 7]', '[431, 431, 4*w^2 + 2*w - 13]', '[433, 433, -4*w^2 - 4*w + 7]', '[433, 433, 7*w^2 - 4*w - 13]', '[433, 433, 8*w^2 - 4*w - 17]', '[449, 449, 7*w^2 - w - 14]', '[449, 449, 6*w^2 - 7*w - 12]', '[449, 449, 2*w^2 - w - 12]', '[456, 114, -4*w^2 + 6*w + 10]', '[456, 114, -2*w^2 - 4*w + 6]', '[456, 114, -6*w^2 + 2*w + 10]', '[459, 51, -6*w^2 + 3*w + 9]', '[459, 51, -3*w^2 - 3*w + 9]', '[459, 51, -3*w^2 + 6*w + 9]', '[467, 467, w^2 + 5*w - 4]', '[467, 467, 6*w^2 - w - 10]', '[467, 467, 5*w^2 - 6*w - 12]', '[477, 159, 5*w^2 + 5*w - 7]', '[477, 159, 2*w^2 + 5*w - 4]', '[477, 159, 5*w^2 + 2*w - 13]', '[487, 487, w^2 - w - 10]', '[487, 487, -w^2 - 6]', '[487, 487, w - 8]', '[489, 489, 7*w^2 - 7*w - 15]', '[489, 489, 8*w^2 - 9*w - 14]', '[489, 489, w^2 - 10]', '[503, 503, w^2 + 2*w - 11]', '[503, 503, 2*w^2 - 3*w - 13]', '[503, 503, -3*w^2 + w - 3]', '[512, 8, 8]', '[513, 57, -6*w^2 + 6*w + 15]', '[513, 57, -6*w^2 + 9]', '[513, 57, -6*w + 3]', '[521, 521, 5*w^2 - 6*w - 18]', '[521, 521, 3*w^2 - 4*w - 16]', '[521, 521, w^2 + 3*w - 12]', '[523, 523, 7*w^2 - 6*w - 18]', '[523, 523, 3*w^2 + 3*w - 11]', '[523, 523, 2*w^2 + w - 13]', '[537, 537, 7*w^2 - 4*w - 12]', '[537, 537, 5*w^2 - 8*w - 9]', '[537, 537, -2*w^2 + 5*w - 6]', '[541, 541, 2*w^2 + 4*w - 11]', '[541, 541, 6*w^2 - 2*w - 5]', '[541, 541, 4*w^2 - 6*w - 15]', '[543, 543, -2*w^2 + 6*w - 7]', '[543, 543, 8*w^2 - 5*w - 15]', '[543, 543, 7*w^2 - 3*w - 13]', '[557, 557, 8*w^2 - 2*w - 17]', '[557, 557, -6*w^2 + 8*w + 11]', '[557, 557, 3*w^2 - 2*w - 15]', '[568, 142, 2*w^2 + 2*w - 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29]', '[9539, 9539, 16*w^2 - 4*w - 11]', '[9549, 3183, -5*w^2 + 19*w + 34]', '[9549, 3183, -5*w^2 + 19*w + 19]', '[9549, 3183, 14*w^2 + 5*w - 37]', '[9557, 9557, 18*w^2 - 15*w - 55]', '[9557, 9557, 11*w^2 - 19*w - 23]', '[9557, 9557, -3*w^2 + 18*w - 13]', '[9557, 9557, 8*w^2 + 11*w - 17]', '[9557, 9557, -5*w^2 + 25*w + 3]', '[9557, 9557, 19*w^2 - 8*w - 37]', '[9557, 9557, 20*w^2 + 5*w - 33]', '[9557, 9557, 15*w^2 + 3*w - 11]', '[9557, 9557, 25*w^2 - 20*w - 57]', '[9561, 9561, 4*w^2 + 11*w - 21]', '[9561, 9561, -2*w^2 + 17*w - 15]', '[9561, 9561, -2*w^2 + 17*w - 9]', '[9567, 3189, 10*w^2 + 7*w - 29]', '[9567, 3189, -7*w^2 + 17*w + 23]', '[9567, 3189, 8*w^2 - 7*w - 40]', '[9593, 9593, 14*w^2 - 15*w - 39]', '[9593, 9593, 2*w^2 + 7*w - 29]', '[9593, 9593, -4*w^2 + 21*w + 17]', '[9593, 9593, -9*w^2 + 2*w - 7]', '[9593, 9593, 3*w^2 + 12*w - 22]', '[9593, 9593, -21*w^2 + 17*w + 33]', '[9593, 9593, 17*w^2 + 4*w - 43]', '[9593, 9593, 7*w^2 - 9*w - 39]', '[9593, 9593, 12*w^2 - 15*w - 40]', '[9609, 9609, 13*w^2 - 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15*w - 48]', '[9701, 9701, -12*w^2 + 21*w + 22]', '[9701, 9701, 11*w^2 - 2*w - 47]', '[9701, 9701, 21*w^2 - 9*w - 44]', '[9701, 9701, -18*w^2 + 14*w + 21]', '[9701, 9701, 7*w^2 + 9*w - 32]', '[9701, 9701, 16*w^2 - 7*w - 14]', '[9701, 9701, 19*w^2 - 10*w - 35]', '[9701, 9701, 4*w^2 - 18*w - 23]', '[9701, 9701, 14*w^2 + 4*w - 43]', '[9719, 9719, 10*w^2 + 12*w - 17]', '[9719, 9719, 22*w^2 - 10*w - 47]', '[9719, 9719, 21*w^2 - 12*w - 41]', '[9721, 9721, 11*w^2 - 16*w - 42]', '[9721, 9721, 16*w^2 - 5*w - 12]', '[9721, 9721, 5*w^2 + 11*w - 30]', '[9728, 152, -16*w^2 + 16*w + 40]', '[9728, 152, -16*w^2 + 24]', '[9728, 152, -16*w + 8]', '[9739, 9739, 11*w^2 + 6*w - 34]', '[9739, 9739, -17*w^2 + 11*w + 22]', '[9739, 9739, w^2 + 5*w - 25]', '[9747, 57, -12*w^2 - 6*w + 33]', '[9747, 57, -6*w^2 + 18*w + 21]', '[9747, 57, -18*w^2 + 12*w + 27]', '[9747, 1083, -15*w^2 + 18]', '[9747, 1083, -15*w^2 + 15*w + 42]', '[9747, 1083, -15*w + 12]', '[9771, 9771, -23*w^2 + 24*w + 26]', '[9771, 9771, 21*w^2 - 25*w - 35]', '[9771, 9771, 19*w^2 - 18*w - 43]', '[9777, 9777, 13*w^2 - 16*w - 33]', '[9777, 9777, 6*w^2 + 10*w - 31]', '[9777, 9777, -23*w^2 + 20*w + 36]', '[9784, 2446, -2*w^2 + 20*w - 2]', '[9784, 2446, -18*w^2 + 14*w + 20]', '[9784, 2446, 14*w^2 + 4*w - 44]', '[9791, 9791, 16*w^2 - 15*w - 50]', '[9791, 9791, 17*w^2 - 15*w - 48]', '[9791, 9791, -2*w^2 + 17*w - 10]', '[9792, 204, -8*w^2 + 16*w + 28]', '[9792, 204, -16*w^2 + 8*w + 20]', '[9792, 204, -8*w^2 - 8*w + 28]', '[9809, 9809, 13*w^2 - 15*w - 38]', '[9809, 9809, -w^2 - 14*w + 19]', '[9809, 9809, 4*w^2 - 3*w - 30]', '[9809, 9809, 16*w^2 + 3*w - 47]', '[9809, 9809, 20*w^2 - 9*w - 40]', '[9809, 9809, w^2 - 4*w + 20]', '[9809, 9809, 11*w^2 + 9*w - 24]', '[9809, 9809, -20*w^2 + 11*w + 38]', '[9809, 9809, 14*w^2 - 15*w - 45]', '[9811, 9811, 16*w^2 - 15*w - 45]', '[9811, 9811, 12*w^2 - 15*w - 38]', '[9811, 9811, 17*w^2 - 15*w - 52]', '[9829, 9829, -3*w^2 + 18*w - 11]', '[9829, 9829, 13*w^2 - 15*w - 42]', '[9829, 9829, 18*w^2 - 15*w - 53]', '[9873, 3291, 17*w^2 - 16*w - 43]', '[9873, 3291, 7*w^2 - 17*w - 47]', '[9873, 3291, -16*w^2 - 7*w + 8]', '[9879, 9879, 23*w^2 - 26*w - 39]', '[9879, 9879, 22*w^2 - 16*w - 39]', '[9879, 9879, -19*w^2 + 16*w + 18]', '[9879, 9879, 4*w^2 - w - 30]', '[9879, 9879, -9*w^2 + 26*w + 1]', '[9879, 9879, 9*w^2 + 8*w - 26]', '[9879, 9879, 17*w - 26]', '[9879, 9879, -w^2 + 12*w - 26]', '[9879, 9879, 6*w^2 + 11*w - 35]', '[9883, 9883, 21*w^2 - 14*w - 38]', '[9883, 9883, 14*w^2 + 7*w - 32]', '[9883, 9883, -7*w^2 + 21*w + 18]', '[9899, 9899, 11*w^2 + 10*w - 22]', '[9899, 9899, -5*w^2 + 21*w - 14]', '[9899, 9899, 21*w^2 - 16*w - 66]', '[9899, 9899, 21*w^2 + 8*w - 42]', '[9899, 9899, 29*w^2 - 23*w - 64]', '[9899, 9899, 17*w^2 - 28]', '[9899, 9899, 23*w^2 + 6*w - 40]', '[9899, 9899, 19*w^2 - 10*w - 68]', '[9899, 9899, 21*w^2 - 11*w - 42]', '[9901, 9901, 3*w^2 + 6*w - 31]', '[9901, 9901, -9*w^2 + 3*w - 7]', '[9901, 9901, 6*w^2 - 9*w - 37]', '[9928, 2482, 2*w^2 - 8*w - 28]', '[9928, 2482, 6*w^2 + 2*w - 36]', '[9928, 2482, 10*w^2 + 8*w - 26]', '[9928, 2482, 22*w^2 - 8*w - 48]', '[9928, 2482, 18*w^2 - 10*w - 30]', '[9928, 2482, 20*w^2 - 2*w - 40]', '[9928, 2482, 18*w^2 - 20*w - 36]', '[9928, 2482, 4*w^2 - 2*w - 30]', '[9928, 2482, 8*w^2 + 8*w - 30]', '[9937, 9937, 13*w^2 - 15*w - 39]', '[9937, 9937, 26*w^2 - 19*w - 63]', '[9937, 9937, 17*w^2 - 2*w - 64]', '[9937, 9937, -3*w^2 + 7*w - 17]', '[9937, 9937, 20*w^2 - 7*w - 41]', '[9937, 9937, 25*w^2 - 13*w - 55]', '[9937, 9937, 15*w^2 + 4*w - 42]', '[9937, 9937, 15*w - 17]', '[9937, 9937, 19*w^2 - 12*w - 32]', '[9939, 9939, -7*w^2 + 24*w - 14]', '[9939, 9939, 11*w^2 + 6*w - 35]', '[9939, 9939, -4*w^2 + 21*w - 2]', '[9953, 9953, 17*w^2 - 15*w - 51]', '[9953, 9953, 7*w^2 - 7*w - 38]', '[9953, 9953, 18*w^2 - 2*w - 33]', '[9953, 9953, 15*w^2 - 15*w - 43]', '[9953, 9953, 10*w^2 + 7*w - 30]', '[9953, 9953, 7*w^2 - 17*w - 24]', '[9953, 9953, 13*w^2 - 15*w - 41]', '[9953, 9953, -16*w^2 + 18*w + 35]', '[9953, 9953, 7*w^2 - 2*w - 37]', '[9973, 9973, 13*w^2 - 16*w - 47]', '[9973, 9973, 3*w^2 + 13*w - 27]', '[9973, 9973, 16*w^2 - 3*w - 11]', '[9987, 9987, -w^2 + 16*w - 15]', '[9987, 9987, 2*w^2 + 13*w - 18]', '[9987, 9987, -w^2 + 16*w - 12]', '[9993, 9993, -2*w^2 + 17*w - 12]', '[9993, 9993, w^2 + 14*w - 15]', '[9993, 9993, w^2 + 14*w - 18]'], 'label': '3.3.81.1', 'narrow_class_no': 1, 'primes': ['[3, 3, -w + 1]', '[8, 2, 2]', '[17, 17, -2*w^2 + w + 3]', '[17, 17, -w^2 - w + 3]', '[17, 17, -w^2 + 2*w + 3]', '[19, 19, -2*w^2 + 2*w + 5]', '[19, 19, -2*w^2 + 3]', '[19, 19, -2*w + 1]', '[37, 37, -w^2 + 3*w + 3]', '[37, 37, 2*w^2 + w - 5]', '[37, 37, 3*w^2 - 2*w - 5]', '[53, 53, -w - 4]', '[53, 53, -w^2 + w - 2]', '[53, 53, w^2 - 6]', '[71, 71, w^2 + w - 7]', '[71, 71, w^2 - 2*w - 7]', '[71, 71, -2*w^2 + w - 1]', '[73, 73, 3*w^2 - 3*w - 8]', '[73, 73, 2*w^2 - 3*w - 7]', '[73, 73, w^2 + 2*w - 5]', '[89, 89, -w^2 + 4*w + 4]', '[89, 89, 3*w^2 + w - 8]', '[89, 89, 2*w^2 - w - 9]', '[107, 107, 2*w^2 - 4*w - 5]', '[107, 107, 4*w^2 - 2*w - 7]', '[107, 107, 2*w^2 + 2*w - 5]', '[109, 109, w^2 - w - 7]', '[109, 109, -w^2 - 3]', '[109, 109, w - 5]', '[125, 5, -5]', '[127, 127, -5*w^2 + 4*w + 8]', '[127, 127, 4*w^2 + w - 10]', '[127, 127, -w^2 + 5*w + 4]', '[163, 163, 5*w^2 - 2*w - 10]', '[163, 163, 5*w^2 - 3*w - 9]', '[163, 163, 3*w^2 + 2*w - 7]', '[179, 179, 3*w^2 - 4*w - 9]', '[179, 179, 4*w^2 - w - 5]', '[179, 179, w^2 + 3*w - 5]', '[181, 181, w^2 + 3*w - 6]', '[181, 181, 4*w^2 - 4*w - 11]', '[181, 181, 3*w^2 - 4*w - 10]', '[197, 197, w^2 - w - 8]', '[197, 197, -w^2 - 4]', '[197, 197, w - 6]', '[199, 199, -w - 6]', '[199, 199, -w^2 + w - 4]', '[199, 199, w^2 - 8]', '[233, 233, 5*w^2 + w - 13]', '[233, 233, -6*w^2 + 5*w + 9]', '[233, 233, -w^2 + 6*w + 5]', '[251, 251, 3*w^2 + 2*w - 9]', '[251, 251, 2*w^2 - 2*w - 11]', '[251, 251, 2*w^2 - 5*w - 7]', '[269, 269, -5*w^2 + 2*w + 8]', '[269, 269, 3*w^2 - 5*w - 8]', '[269, 269, 2*w^2 + 3*w - 6]', '[271, 271, w^2 + w - 9]', '[271, 271, 6*w^2 - 5*w - 15]', '[271, 271, 3*w^2 + 2*w - 10]', '[307, 307, 3*w^2 - 5*w - 9]', '[307, 307, 5*w^2 - 2*w - 7]', '[307, 307, 2*w^2 + 3*w - 7]', '[343, 7, -7]', '[359, 359, -w^2 + 6*w - 3]', '[359, 359, 6*w^2 - 5*w - 17]', '[359, 359, 5*w^2 - 5*w - 16]', '[379, 379, -2*w^2 + 7*w + 6]', '[379, 379, 7*w^2 - 5*w - 12]', '[379, 379, 5*w^2 + 2*w - 12]', '[397, 397, 8*w^2 - 5*w - 16]', '[397, 397, 6*w^2 - 3*w - 10]', '[397, 397, 3*w^2 - 6*w - 8]', '[431, 431, -w^2 + 7*w - 1]', '[431, 431, -6*w^2 + 4*w + 7]', '[431, 431, 4*w^2 + 2*w - 13]', '[433, 433, -4*w^2 - 4*w + 7]', '[433, 433, 7*w^2 - 4*w - 13]', '[433, 433, 8*w^2 - 4*w - 17]', '[449, 449, 7*w^2 - w - 14]', '[449, 449, 6*w^2 - 7*w - 12]', '[449, 449, 2*w^2 - w - 12]', '[467, 467, w^2 + 5*w - 4]', '[467, 467, 6*w^2 - w - 10]', '[467, 467, 5*w^2 - 6*w - 12]', '[487, 487, w^2 - w - 10]', '[487, 487, -w^2 - 6]', '[487, 487, w - 8]', '[503, 503, w^2 + 2*w - 11]', '[503, 503, 2*w^2 - 3*w - 13]', '[503, 503, -3*w^2 + w - 3]', '[521, 521, 5*w^2 - 6*w - 18]', '[521, 521, 3*w^2 - 4*w - 16]', '[521, 521, w^2 + 3*w - 12]', '[523, 523, 7*w^2 - 6*w - 18]', '[523, 523, 3*w^2 + 3*w - 11]', '[523, 523, 2*w^2 + w - 13]', '[541, 541, 2*w^2 + 4*w - 11]', '[541, 541, 6*w^2 - 2*w - 5]', '[541, 541, 4*w^2 - 6*w - 15]', '[557, 557, 8*w^2 - 2*w - 17]', '[557, 557, -6*w^2 + 8*w + 11]', '[557, 557, 3*w^2 - 2*w - 15]', '[577, 577, -6*w^2 + 7*w + 13]', '[577, 577, 7*w^2 - w - 13]', '[577, 577, 3*w^2 - w - 15]', '[593, 593, 8*w^2 - 6*w - 13]', '[593, 593, -2*w^2 + 8*w + 7]', '[593, 593, 6*w^2 + 2*w - 15]', '[613, 613, 2*w^2 - 7*w - 9]', '[613, 613, 5*w^2 + 2*w - 15]', '[613, 613, -7*w^2 + 5*w + 9]', '[631, 631, w^2 + 5*w - 8]', '[631, 631, 6*w^2 - 6*w - 17]', '[631, 631, 5*w^2 - 6*w - 16]', '[647, 647, 6*w^2 + 3*w - 13]', '[647, 647, -3*w^2 + 9*w + 7]', '[647, 647, 9*w^2 - 6*w - 17]', '[683, 683, 5*w^2 + 3*w - 12]', '[683, 683, 8*w^2 - 5*w - 14]', '[683, 683, 8*w^2 - 3*w - 16]', '[701, 701, w^2 - w - 11]', '[701, 701, -w^2 - 7]', '[701, 701, w - 9]', '[719, 719, 9*w^2 - 4*w - 19]', '[719, 719, 8*w^2 - 4*w - 15]', '[719, 719, 9*w^2 - 5*w - 18]', '[739, 739, 7*w^2 + 3*w - 15]', '[739, 739, -3*w^2 + 10*w + 7]', '[739, 739, 10*w^2 - 7*w - 19]', '[757, 757, 3*w^2 - 16]', '[757, 757, -7*w^2 + 4*w + 7]', '[757, 757, 4*w^2 + 3*w - 15]', '[773, 773, 4*w^2 + 3*w - 14]', '[773, 773, 2*w^2 + w - 14]', '[773, 773, 8*w^2 - 7*w - 20]', '[809, 809, 3*w^2 + 4*w - 14]', '[809, 809, 7*w^2 - 3*w - 6]', '[809, 809, 4*w^2 - 7*w - 16]', '[811, 811, 9*w^2 - 3*w - 19]', '[811, 811, -6*w^2 + 9*w + 11]', '[811, 811, 5*w^2 - 3*w - 21]', '[827, 827, -7*w^2 + 8*w + 15]', '[827, 827, 8*w^2 - w - 15]', '[827, 827, 3*w^2 - w - 16]', '[829, 829, 6*w^2 + 3*w - 14]', '[829, 829, -3*w^2 + 9*w + 8]', '[829, 829, 9*w^2 - 6*w - 16]', '[863, 863, 2*w^2 - 4*w - 15]', '[863, 863, -4*w^2 + 2*w - 3]', '[863, 863, 2*w^2 + 2*w - 15]', '[881, 881, 2*w^2 + 5*w - 8]', '[881, 881, 5*w^2 - 7*w - 14]', '[881, 881, 7*w^2 - 2*w - 10]', '[883, 883, -4*w^2 + 3*w - 3]', '[883, 883, 3*w^2 + w - 17]', '[883, 883, 8*w^2 - 7*w - 21]', '[919, 919, 9*w^2 - w - 18]', '[919, 919, -8*w^2 + 9*w + 16]', '[919, 919, w^2 + 8*w - 2]', '[937, 937, 5*w^2 - 7*w - 15]', '[937, 937, 2*w^2 + 5*w - 9]', '[937, 937, 7*w^2 - 2*w - 9]', '[953, 953, 2*w^2 + 5*w - 11]', '[953, 953, 7*w^2 - 7*w - 19]', '[953, 953, 5*w^2 - 7*w - 17]', '[971, 971, -w - 10]', '[971, 971, -w^2 + w - 8]', '[971, 971, w^2 - 12]', '[991, 991, 4*w^2 - w - 19]', '[991, 991, -7*w^2 + 8*w + 16]', '[991, 991, 8*w^2 - w - 14]']}
2. label: 3.3.148.1
   {'degree': 3, 'discriminant': 148, 'ideals': ['[1, 1, 1]', '[2, 2, w - 1]', '[4, 2, -w^2 + 3]', '[5, 5, -w^2 + w + 1]', '[8, 2, -2]', '[10, 10, w^2 + w - 2]', '[13, 13, -w^2 + 2*w + 2]', '[16, 4, -2*w + 2]', '[17, 17, 2*w + 1]', '[19, 19, -w^2 + 2*w + 4]', '[20, 10, -w^2 + 2*w + 3]', '[23, 23, -w^2 - w + 3]', '[25, 5, -2*w^2 + w + 4]', '[25, 25, -2*w^2 + 3]', '[26, 26, -w - 3]', '[27, 3, 3]', '[29, 29, w^2 - 3*w - 1]', '[31, 31, 2*w^2 - 2*w - 3]', '[32, 4, 2*w^2 - 6]', '[34, 34, w^2 + w - 4]', '[37, 37, w^2 + w - 5]', '[37, 37, w - 4]', '[38, 38, 2*w^2 - w - 3]', '[40, 10, 2*w^2 - 2*w - 2]', '[43, 43, 2*w^2 - w - 2]', '[46, 46, 2*w^2 - 3*w - 5]', '[50, 10, w^2 - 3*w - 2]', '[50, 50, w^2 - w - 6]', '[52, 26, -w^2 - 2*w + 3]', '[54, 6, 3*w - 3]', '[58, 58, w^2 + w + 2]', '[59, 59, 2*w^2 - 3*w - 6]', '[61, 61, -3*w^2 + 4*w + 4]', '[62, 62, -2*w^2 - w + 5]', '[64, 4, 4]', '[65, 65, -3*w + 4]', '[67, 67, -w - 4]', '[67, 67, -3*w^2 + 8]', '[67, 67, w^2 - 3*w - 3]', '[68, 34, w^2 - 2*w + 3]', '[74, 74, w^2 - 3*w + 4]', '[74, 74, w^2 - 5*w + 4]', '[76, 38, -w^2 + 7]', '[79, 79, w^2 + 2*w - 4]', '[80, 20, -2*w^2 - 2*w + 4]', '[85, 85, -3*w^2 + 2*w + 6]', '[86, 86, -w^2 + 5*w]', '[89, 89, 3*w^2 - 3*w - 5]', '[92, 46, -3*w^2 + 4*w + 3]', '[95, 95, -2*w^2 - w + 6]', '[97, 97, -3*w^2 + 4]', '[100, 10, -w^2 - 2*w + 7]', '[100, 50, -w^2 - 2*w + 5]', '[103, 103, -w^2 + w - 3]', '[104, 26, 2*w^2 - 4*w - 4]', '[107, 107, 3*w^2 - w - 5]', '[107, 107, w^2 - w - 7]', '[107, 107, -2*w - 5]', '[108, 6, -3*w^2 + 9]', '[109, 109, w^2 + 2*w - 6]', '[113, 113, -2*w^2 + 5*w + 2]', '[115, 115, -w^2 + 4*w + 2]', '[116, 58, 3*w^2 - 2*w - 5]', '[118, 118, -3*w^2 + 3*w + 4]', '[122, 122, -4*w^2 + 9*w + 1]', '[124, 62, -w^2 - 3]', '[125, 5, 5]', '[125, 125, w^2 + w + 3]', '[128, 8, 4*w - 4]', '[130, 130, 3*w^2 - w - 4]', '[131, 131, -5*w^2 + 3*w + 13]', '[134, 134, -w - 5]', '[134, 134, -3*w^2 + 3*w + 2]', '[134, 134, -w^2 - 3*w + 4]', '[135, 15, -3*w^2 + 3*w + 3]', '[136, 34, -4*w - 2]', '[137, 137, 2*w^2 - 4*w - 5]', '[137, 137, 2*w^2 + w - 8]', '[137, 137, 3*w^2 - 10]', '[139, 139, -w^2 + 2*w - 4]', '[139, 139, 4*w^2 - 2*w - 9]', '[139, 139, 3*w^2 - 2*w - 4]', '[145, 145, -4*w - 3]', '[148, 74, 3*w^2 - 2*w - 13]', '[148, 74, 3*w^2 - 11]', '[151, 151, w^2 - 8]', '[151, 151, 4*w - 5]', '[151, 151, w^2 + w - 9]', '[152, 38, 2*w^2 - 4*w - 8]', '[155, 155, -w^2 + 3*w - 5]', '[158, 158, 2*w^2 - 3*w + 3]', '[160, 20, 2*w^2 - 4*w - 6]', '[163, 163, w - 6]', '[167, 167, 2*w^2 - 4*w - 7]', '[169, 13, w^2 - 4*w - 4]', '[169, 169, -2*w + 7]', '[170, 170, 2*w^2 - 5*w - 3]', '[172, 86, w^2 - 4*w - 5]', '[178, 178, -3*w^2 + 7*w + 2]', '[179, 179, w^2 + 3*w - 5]', '[184, 46, 2*w^2 + 2*w - 6]', '[185, 185, 3*w^2 - 6*w - 4]', '[185, 185, 4*w^2 - 6*w - 3]', '[190, 190, -w^2 + w - 4]', '[191, 191, 4*w^2 - 4*w - 7]', '[193, 193, 4*w^2 - 3*w - 8]', '[194, 194, -5*w - 1]', '[199, 199, w^2 + 3*w - 9]', '[200, 10, 4*w^2 - 2*w - 8]', '[200, 50, 4*w^2 - 6]', '[206, 206, w^2 - 7*w + 4]', '[208, 52, 2*w + 6]', '[214, 214, -w^2 + 5*w + 2]', '[214, 214, -w^2 - 3*w + 6]', '[214, 214, w^2 - 5*w + 8]', '[215, 215, -2*w^2 + 2*w - 3]', '[216, 6, -6]', '[218, 218, 2*w^2 - 5*w + 5]', '[221, 221, w^2 + 4]', '[226, 226, 5*w^2 - 9*w]', '[227, 227, 2*w^2 - 5*w - 4]', '[230, 230, w^2 + 3*w - 8]', '[232, 58, -2*w^2 + 6*w + 2]', '[233, 233, -w - 6]', '[233, 233, w^2 + 3*w - 7]', '[233, 233, 2*w^2 + 2*w - 7]', '[236, 118, 7*w^2 - 4*w - 19]', '[239, 239, 3*w^2 + w - 9]', '[241, 241, -5*w^2 + w + 15]', '[244, 122, 5*w^2 - 6*w - 13]', '[247, 247, -2*w^2 + 2*w + 11]', '[248, 62, -4*w^2 + 4*w + 6]', '[250, 10, 5*w - 5]', '[250, 250, 4*w^2 - 3*w - 7]', '[251, 251, 4*w^2 - 5*w - 4]', '[256, 8, -4*w^2 + 12]', '[257, 257, 4*w^2 - 2*w - 7]', '[260, 130, -w^2 + 9]', '[262, 262, 3*w^2 - 5*w - 8]', '[268, 134, 5*w^2 - 13]', '[268, 134, -w^2 - 4*w + 5]', '[268, 134, 5*w^2 - 2*w - 11]', '[269, 269, 4*w^2 - w - 6]', '[269, 269, w^2 - 5*w - 3]', '[269, 269, 2*w^2 + 2*w - 11]', '[270, 30, 3*w^2 + 3*w - 6]', '[272, 68, -2*w^2 - 2*w + 8]', '[274, 274, w^2 - 3*w + 6]', '[274, 274, -4*w^2 + 5*w + 3]', '[274, 274, -w + 7]', '[277, 277, 4*w^2 + w - 10]', '[278, 278, -2*w^2 + 5*w + 5]', '[278, 278, 2*w^2 - 9*w + 5]', '[278, 278, -2*w^2 + 7*w + 1]', '[281, 281, -w^2 + 7*w - 5]', '[283, 283, -3*w^2 + 5*w + 11]', '[289, 17, 4*w^2 - 6*w - 9]', '[289, 289, -5*w + 6]', '[290, 290, -3*w^2 - w + 10]', '[293, 293, 3*w^2 - 5*w - 9]', '[293, 293, 4*w^2 - 4*w - 5]', '[293, 293, 2*w^2 + 3*w - 6]', '[295, 295, 2*w^2 + 2*w - 9]', '[296, 74, -2*w^2 - 2*w + 10]', '[296, 74, -2*w + 8]', '[299, 299, -4*w^2 + 3*w + 6]', '[302, 302, -5*w + 7]', '[302, 302, 4*w^2 - 9*w + 5]', '[302, 302, w^2 - 7*w + 8]', '[304, 76, -4*w^2 + 2*w + 6]', '[305, 305, -2*w^2 + 7*w - 8]', '[310, 310, -w^2 + 5*w + 4]', '[311, 311, 4*w^2 - 13]', '[313, 313, -w^2 + w - 5]', '[316, 158, w^2 - 2*w - 9]', '[317, 317, w^2 - w - 9]', '[317, 317, 2*w^2 - 5*w - 6]', '[317, 317, 2*w^2 - 6*w - 3]', '[320, 20, -4*w^2 + 4*w + 4]', '[323, 323, -4*w^2 + 4*w + 3]', '[325, 65, -3*w^2 - w + 11]', '[325, 325, -3*w^2 - 2*w + 8]', '[326, 326, w^2 - 7*w + 6]', '[331, 331, w^2 - 5*w - 5]', '[334, 334, -4*w^2 + 3*w + 5]', '[335, 335, w^2 + 4*w - 6]', '[335, 335, -2*w^2 + 5*w + 8]', '[335, 335, 4*w^2 - 2*w - 5]', '[338, 26, -4*w^2 + 3*w + 3]', '[338, 338, 2*w^2 - 5*w - 7]', '[340, 170, w^2 + 2*w + 5]', '[343, 7, -7]', '[344, 86, -4*w^2 + 2*w + 4]', '[347, 347, -5*w^2 + 7*w + 11]', '[349, 349, -2*w - 7]', '[349, 349, 4*w^2 - 15]', '[349, 349, 6*w - 5]', '[351, 39, -3*w^2 + 6*w + 6]', '[353, 353, 2*w^2 - w - 12]', '[356, 178, 5*w^2 - 6*w - 15]', '[358, 358, 3*w^2 - 5*w + 4]', '[361, 19, 4*w^2 + 2*w - 9]', '[361, 361, -5*w^2 + 4*w + 10]', '[367, 367, 5*w^2 - 2*w - 10]', '[367, 367, 2*w^2 - 3*w - 12]', '[367, 367, -5*w^2 + 6*w + 16]', '[368, 92, -4*w^2 + 6*w + 10]', '[370, 370, w + 7]', '[370, 370, -2*w^2 - 3*w + 7]', '[377, 377, 5*w^2 - w - 9]', '[380, 190, -5*w^2 + 6*w + 7]', '[382, 382, -4*w^2 + 9*w + 3]', '[383, 383, -7*w^2 + 4*w + 18]', '[386, 386, -3*w^2 + 7*w + 4]', '[388, 194, -5*w^2 + 4*w + 1]', '[389, 389, -w^2 + 2*w - 6]', '[391, 391, -4*w^2 + 8*w + 5]', '[395, 395, 2*w^2 - 7*w - 2]', '[398, 398, 3*w^2 - 9*w + 8]', '[400, 20, -2*w^2 + 6*w + 4]', '[400, 100, -2*w^2 + 2*w + 12]', '[401, 401, 6*w^2 - 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w + 6]', '[479, 479, 4*w^2 + w - 12]', '[481, 481, 6*w^2 - 7*w - 10]', '[481, 481, 5*w^2 - 9*w - 7]', '[482, 482, w^2 - w - 10]', '[485, 485, 2*w^2 + w + 4]', '[487, 487, 5*w^2 - 3*w - 9]', '[488, 122, -6*w^2 + 8*w + 8]', '[491, 491, w^2 - 2*w - 10]', '[491, 491, 3*w^2 + 2*w - 10]', '[491, 491, w^2 - 6*w - 8]', '[493, 493, 3*w^2 - 6*w - 8]', '[494, 494, 2*w^2 + 3*w - 9]', '[496, 124, 4*w^2 + 2*w - 10]', '[499, 499, 3*w^2 - 7*w - 5]', '[500, 10, -5*w^2 + 15]', '[500, 250, -3*w^2 + 8*w + 3]', '[502, 502, -5*w^2 + 13*w]', '[503, 503, w^2 - 6*w - 4]', '[512, 8, -8]', '[513, 57, -3*w^2 + 6*w + 12]', '[514, 514, -2*w^2 + 7*w + 3]', '[515, 515, 5*w^2 - 6*w - 2]', '[520, 130, 6*w - 8]', '[523, 523, 5*w^2 - 5*w - 7]', '[524, 262, -5*w^2 + 6*w + 5]', '[527, 527, 2*w^2 + 4*w - 7]', '[529, 23, 2*w^2 + 3*w - 10]', '[529, 529, w^2 + 2*w + 6]', '[535, 535, 5*w^2 - 4*w - 8]', '[535, 535, -w^2 - 6]', '[535, 535, 6*w^2 - 10*w - 9]', '[536, 134, 2*w + 8]', '[536, 134, 6*w^2 - 16]', '[536, 134, -2*w^2 + 6*w + 6]', '[538, 538, -5*w^2 + 5*w + 2]', '[538, 538, 2*w^2 - 7*w + 9]', '[538, 538, -w^2 + 7*w + 2]', '[540, 30, -3*w^2 + 6*w + 9]', '[541, 541, 5*w^2 - 2*w - 8]', '[544, 68, -2*w^2 + 4*w - 6]', '[545, 545, 4*w^2 - 9*w - 4]', '[547, 547, 6*w^2 - 4*w - 13]', '[548, 274, 7*w^2 - 4*w - 17]', '[548, 274, 5*w^2 - 4*w - 21]', '[548, 274, 7*w^2 - 6*w - 27]', '[551, 551, -w - 8]', '[554, 554, w^2 + w + 6]', '[556, 278, 3*w^2 + 2*w - 11]', '[556, 278, 5*w^2 - 6*w - 3]', '[556, 278, 3*w^2 - 6*w - 11]', '[557, 557, 5*w^2 - 6*w - 4]', '[559, 559, w^2 + 5*w - 7]', '[562, 562, -4*w^2 - w + 13]', '[563, 563, 3*w^2 - 6*w - 10]', '[565, 565, 2*w^2 - 10*w + 7]', '[566, 566, 5*w^2 - 3*w - 8]', '[569, 569, 5*w^2 - 7*w - 13]', '[575, 115, -2*w^2 + 6*w + 9]', '[575, 575, -6*w^2 + 6*w + 11]', '[577, 577, 2*w^2 - 6*w - 7]', '[578, 34, -6*w^2 + 9*w + 5]', '[578, 578, 5*w^2 - w - 6]', '[580, 290, -w^2 + 2*w - 7]', '[586, 586, -4*w^2 + 11*w + 1]', '[586, 586, 3*w^2 - 3*w + 4]', '[586, 586, -5*w^2 + 5*w + 6]', '[587, 587, 5*w^2 - 8*w - 10]', '[589, 589, 5*w^2 - 16]', '[590, 590, -6*w^2 + w + 11]', '[592, 148, -2*w^2 + 6*w - 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30]', '[9967, 9967, 3*w^2 - 6*w - 28]', '[9970, 9970, -13*w^2 - 9*w + 24]', '[9971, 767, 5*w^2 - 7*w - 33]', '[9971, 9971, 16*w^2 - 21*w - 38]', '[9973, 9973, 6*w^2 - 16*w - 17]', '[9974, 9974, 6*w^2 - 3*w + 11]', '[9976, 2494, 20*w - 14]', '[9979, 9979, -w^2 + 2*w - 20]', '[9980, 4990, w^2 + 2*w - 25]', '[9986, 9986, -3*w + 23]', '[9990, 1110, 3*w + 21]', '[9990, 1110, -6*w^2 - 9*w + 21]', '[9991, 9991, 12*w^2 + 2*w - 35]', '[9997, 9997, 15*w^2 - 23*w - 9]', '[9998, 9998, 9*w^2 - 17*w - 22]', '[9998, 9998, -15*w^2 + 15*w + 2]', '[9998, 9998, 8*w^2 - 19*w + 17]', '[10000, 100, -8*w^2 - 6*w + 26]', '[10000, 100, -10*w^2 - 10*w + 20]', '[10000, 2500, 2*w^2 - 6*w + 20]'], 'label': '3.3.148.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w - 1]', '[5, 5, -w^2 + w + 1]', '[13, 13, -w^2 + 2*w + 2]', '[17, 17, 2*w + 1]', '[19, 19, -w^2 + 2*w + 4]', '[23, 23, -w^2 - w + 3]', '[25, 5, -2*w^2 + w + 4]', '[27, 3, 3]', '[29, 29, w^2 - 3*w - 1]', '[31, 31, 2*w^2 - 2*w - 3]', '[37, 37, w^2 + w - 5]', '[37, 37, w - 4]', '[43, 43, 2*w^2 - w - 2]', '[59, 59, 2*w^2 - 3*w - 6]', '[61, 61, -3*w^2 + 4*w + 4]', '[67, 67, -w - 4]', '[67, 67, -3*w^2 + 8]', '[67, 67, w^2 - 3*w - 3]', '[79, 79, w^2 + 2*w - 4]', '[89, 89, 3*w^2 - 3*w - 5]', '[97, 97, -3*w^2 + 4]', '[103, 103, -w^2 + w - 3]', '[107, 107, 3*w^2 - w - 5]', '[107, 107, w^2 - w - 7]', '[107, 107, -2*w - 5]', '[109, 109, w^2 + 2*w - 6]', '[113, 113, -2*w^2 + 5*w + 2]', '[131, 131, -5*w^2 + 3*w + 13]', '[137, 137, 2*w^2 - 4*w - 5]', '[137, 137, 2*w^2 + w - 8]', '[137, 137, 3*w^2 - 10]', '[139, 139, -w^2 + 2*w - 4]', '[139, 139, 4*w^2 - 2*w - 9]', '[139, 139, 3*w^2 - 2*w - 4]', '[151, 151, w^2 - 8]', '[151, 151, 4*w - 5]', '[151, 151, w^2 + w - 9]', '[163, 163, w - 6]', '[167, 167, 2*w^2 - 4*w - 7]', '[169, 13, w^2 - 4*w - 4]', '[179, 179, w^2 + 3*w - 5]', '[191, 191, 4*w^2 - 4*w - 7]', '[193, 193, 4*w^2 - 3*w - 8]', '[199, 199, w^2 + 3*w - 9]', '[227, 227, 2*w^2 - 5*w - 4]', '[233, 233, -w - 6]', '[233, 233, w^2 + 3*w - 7]', '[233, 233, 2*w^2 + 2*w - 7]', '[239, 239, 3*w^2 + w - 9]', '[241, 241, -5*w^2 + w + 15]', '[251, 251, 4*w^2 - 5*w - 4]', '[257, 257, 4*w^2 - 2*w - 7]', '[269, 269, 4*w^2 - w - 6]', '[269, 269, w^2 - 5*w - 3]', '[269, 269, 2*w^2 + 2*w - 11]', '[277, 277, 4*w^2 + w - 10]', '[281, 281, -w^2 + 7*w - 5]', '[283, 283, -3*w^2 + 5*w + 11]', '[289, 17, 4*w^2 - 6*w - 9]', '[293, 293, 3*w^2 - 5*w - 9]', '[293, 293, 4*w^2 - 4*w - 5]', '[293, 293, 2*w^2 + 3*w - 6]', '[311, 311, 4*w^2 - 13]', '[313, 313, -w^2 + w - 5]', '[317, 317, w^2 - w - 9]', '[317, 317, 2*w^2 - 5*w - 6]', '[317, 317, 2*w^2 - 6*w - 3]', '[331, 331, w^2 - 5*w - 5]', '[343, 7, -7]', '[347, 347, -5*w^2 + 7*w + 11]', '[349, 349, -2*w - 7]', '[349, 349, 4*w^2 - 15]', '[349, 349, 6*w - 5]', '[353, 353, 2*w^2 - w - 12]', '[361, 19, 4*w^2 + 2*w - 9]', '[367, 367, 5*w^2 - 2*w - 10]', '[367, 367, 2*w^2 - 3*w - 12]', '[367, 367, -5*w^2 + 6*w + 16]', '[383, 383, -7*w^2 + 4*w + 18]', '[389, 389, -w^2 + 2*w - 6]', '[401, 401, 6*w^2 - 3*w - 14]', '[409, 409, w^2 - 7*w - 1]', '[421, 421, w^2 + 4*w - 8]', '[431, 431, 4*w^2 - 6*w - 11]', '[439, 439, 2*w^2 + 3*w - 8]', '[449, 449, w^2 + w - 11]', '[457, 457, -4*w^2 - 4*w + 7]', '[461, 461, 3*w^2 + 2*w - 16]', '[463, 463, 5*w^2 - 6*w - 6]', '[467, 467, 2*w - 9]', '[479, 479, 4*w^2 + w - 12]', '[487, 487, 5*w^2 - 3*w - 9]', '[491, 491, w^2 - 2*w - 10]', '[491, 491, 3*w^2 + 2*w - 10]', '[491, 491, w^2 - 6*w - 8]', '[499, 499, 3*w^2 - 7*w - 5]', '[503, 503, w^2 - 6*w - 4]', '[523, 523, 5*w^2 - 5*w - 7]', '[529, 23, 2*w^2 + 3*w - 10]', '[541, 541, 5*w^2 - 2*w - 8]', '[547, 547, 6*w^2 - 4*w - 13]', '[557, 557, 5*w^2 - 6*w - 4]', '[563, 563, 3*w^2 - 6*w - 10]', '[569, 569, 5*w^2 - 7*w - 13]', '[577, 577, 2*w^2 - 6*w - 7]', '[587, 587, 5*w^2 - 8*w - 10]', '[601, 601, 6*w^2 - 5*w - 12]', '[601, 601, -7*w - 2]', '[601, 601, 5*w^2 - 3*w - 3]', '[607, 607, 3*w^2 + 2*w - 14]', '[631, 631, 4*w^2 + 2*w - 11]', '[643, 643, 5*w^2 - 2*w - 6]', '[647, 647, 3*w^2 - 8*w - 4]', '[653, 653, 5*w^2 - 4*w - 6]', '[661, 661, w^2 - 3*w - 11]', '[683, 683, 5*w^2 - 3*w - 5]', '[691, 691, -12*w^2 + 7*w + 34]', '[691, 691, -w^2 + w - 7]', '[691, 691, -w^2 - 5*w + 11]', '[701, 701, -5*w^2 + 7*w + 17]', '[709, 709, 5*w^2 - 10*w - 6]', '[727, 727, 6*w^2 - w - 10]', '[757, 757, -7*w^2 + 8*w + 12]', '[769, 769, 7*w - 8]', '[797, 797, -2*w^2 + 4*w - 7]', '[809, 809, 6*w^2 - 4*w - 11]', '[823, 823, 2*w^2 - 7*w - 6]', '[823, 823, -3*w^2 - 4]', '[823, 823, -w^2 + 2*w - 8]', '[827, 827, 3*w^2 - 7*w - 13]', '[829, 829, -5*w^2 + 4*w + 22]', '[839, 839, 5*w^2 + w - 15]', '[839, 839, -9*w^2 + 5*w + 23]', '[839, 839, 7*w^2 - 3*w - 15]', '[841, 29, 4*w^2 - 7*w - 14]', '[853, 853, 3*w^2 + 3*w - 17]', '[857, 857, 2*w^2 + 4*w - 13]', '[859, 859, 6*w^2 - 5*w - 10]', '[863, 863, w^2 + 6*w - 8]', '[863, 863, 5*w^2 - 9*w - 9]', '[863, 863, -2*w^2 + 5*w - 8]', '[877, 877, 2*w^2 - 15]', '[877, 877, 4*w^2 + 2*w - 13]', '[877, 877, 7*w^2 - 5*w - 15]', '[881, 881, 7*w^2 - 2*w - 14]', '[881, 881, 5*w^2 - 8*w - 12]', '[881, 881, 7*w^2 - 7*w - 13]', '[883, 883, w^2 - 7*w - 7]', '[907, 907, 4*w^2 - 9*w - 6]', '[911, 911, -10*w^2 + 5*w + 26]', '[919, 919, -w^2 + 3*w - 9]', '[929, 929, 6*w^2 - w - 8]', '[929, 929, 2*w^2 - 7*w - 8]', '[929, 929, -7*w^2 + 11*w + 1]', '[941, 941, 6*w^2 - 7*w - 6]', '[941, 941, 3*w^2 - 8*w - 6]', '[941, 941, 6*w^2 + w - 16]', '[947, 947, w^2 + w - 13]', '[961, 31, 6*w^2 - 2*w - 9]', '[967, 967, -w^2 + 4*w - 10]', '[971, 971, 4*w^2 - 8*w - 9]', '[971, 971, w^2 + 2*w - 14]', '[971, 971, 4*w^2 - 5*w - 20]', '[977, 977, 3*w^2 + 3*w - 13]', '[991, 991, -9*w^2 + 10*w + 32]', '[997, 997, w^2 - 2*w - 12]']}
3. label: 3.3.169.1
   {'degree': 3, 'discriminant': 169, 'ideals': ['[1, 1, 1]', '[5, 5, -w^2 + 2*w + 3]', '[5, 5, -w^2 + w + 2]', '[5, 5, -w + 1]', '[8, 2, 2]', '[13, 13, -w^2 + 3]', '[25, 5, -w^2 + 4]', '[25, 5, -w^2 + 3*w + 3]', '[25, 5, -2*w^2 + 3*w + 4]', '[25, 25, -2*w^2 + 4*w + 5]', '[25, 25, -2*w^2 + 2*w + 5]', '[25, 25, -2*w + 1]', '[27, 3, 3]', '[31, 31, -2*w^2 + 3*w + 3]', '[31, 31, -w^2 + 5]', '[31, 31, -w^2 + 3*w + 4]', '[40, 10, -2*w^2 + 4*w + 6]', '[40, 10, -2*w^2 + 2*w + 4]', '[40, 10, -2*w + 2]', '[47, 47, 2*w - 3]', '[47, 47, 2*w^2 - 4*w - 7]', '[47, 47, 2*w^2 - 2*w - 3]', '[53, 53, 3*w^2 - 4*w - 8]', '[53, 53, 4*w^2 - 6*w - 11]', '[53, 53, 3*w^2 - 5*w - 6]', '[64, 4, 4]', '[65, 65, w + 4]', '[65, 65, w^2 - 2*w + 2]', '[65, 65, -w^2 + w + 7]', '[73, 73, w^2 - 4*w - 4]', '[73, 73, 2*w^2 - w - 8]', '[73, 73, 3*w^2 - 5*w - 5]', '[79, 79, -3*w^2 + 5*w + 4]', '[79, 79, 2*w^2 - w - 9]', '[79, 79, w^2 - 4*w - 5]', '[83, 83, w^2 + w - 4]', '[83, 83, 3*w^2 - 4*w - 7]', '[83, 83, -2*w^2 + 5*w + 5]', '[103, 103, 3*w^2 - 6*w - 8]', '[103, 103, 3*w - 2]', '[103, 103, 3*w^2 - 3*w - 7]', '[104, 26, -2*w^2 + 6]', '[109, 109, 3*w^2 - 4*w - 6]', '[109, 109, 2*w^2 - 5*w - 6]', '[109, 109, w^2 + w - 5]', '[125, 5, 5]', '[125, 25, -4*w^2 + 5*w + 11]', '[125, 25, -w^2 - w + 7]', '[125, 25, -2*w^2 + 5*w + 8]', '[125, 25, -w^2 - 2*w + 3]', '[125, 25, -3*w^2 + 7*w + 6]', '[125, 25, -3*w^2 + 4*w + 4]', '[125, 125, -w^2 - w + 6]', '[125, 125, -3*w^2 + 4*w + 5]', '[125, 125, -2*w^2 + 5*w + 7]', '[131, 131, -4*w^2 + 8*w + 9]', '[131, 131, 4*w^2 - 4*w - 11]', '[131, 131, 4*w - 1]', '[135, 15, -3*w^2 + 6*w + 9]', '[135, 15, -3*w^2 + 3*w + 6]', '[135, 15, -3*w + 3]', '[151, 151, -w^2 + 3*w - 4]', '[151, 151, -w^2 - 3]', '[151, 151, 2*w^2 - 3*w - 11]', '[155, 155, -2*w^2 + 7]', '[155, 155, -w^2 + 2*w + 8]', '[155, 155, -4*w^2 + 6*w + 9]', '[155, 155, -2*w^2 + 6*w + 5]', '[155, 155, -3*w^2 + 3*w + 5]', '[155, 155, -3*w + 4]', '[155, 155, -3*w^2 + 6*w + 10]', '[155, 155, w^2 - w + 3]', '[155, 155, -w + 6]', '[157, 157, 4*w^2 - 7*w - 13]', '[157, 157, 3*w^2 - 6*w - 11]', '[157, 157, 3*w^2 - 2*w - 5]', '[169, 13, w^2 - 5*w + 3]', '[181, 181, w^2 + 2*w - 4]', '[181, 181, 4*w^2 - 5*w - 10]', '[181, 181, -3*w^2 + 7*w + 7]', '[200, 10, -2*w^2 + 8]', '[200, 10, -2*w^2 + 6*w + 6]', '[200, 10, -4*w^2 + 6*w + 8]', '[200, 50, -4*w^2 + 8*w + 10]', '[200, 50, -4*w^2 + 4*w + 10]', '[200, 50, -4*w + 2]', '[216, 6, 6]', '[229, 229, -w - 6]', '[229, 229, -w^2 + 2*w - 4]', '[229, 229, w^2 - w - 9]', '[233, 233, 2*w^2 - 6*w - 7]', '[233, 233, 4*w^2 - 6*w - 7]', '[233, 233, 2*w^2 - 9]', '[235, 235, 5*w^2 - 8*w - 11]', '[235, 235, 3*w^2 - w - 10]', '[235, 235, -w^2 - w - 4]', '[235, 235, -2*w^2 + 5*w - 3]', '[235, 235, 3*w^2 - 4*w - 15]', '[235, 235, w^2 + 2*w - 5]', '[235, 235, 3*w^2 - 7*w - 8]', '[235, 235, 4*w^2 - 5*w - 9]', '[235, 235, 2*w^2 - 7*w - 5]', '[239, 239, w^2 - 10]', '[239, 239, -w^2 + 3*w + 9]', '[239, 239, 2*w^2 - 11]', '[248, 62, -4*w^2 + 6*w + 6]', '[248, 62, -2*w^2 + 10]', '[248, 62, -2*w^2 + 6*w + 8]', '[265, 265, 6*w^2 - 11*w - 15]', '[265, 265, 2*w^2 - 3*w - 12]', '[265, 265, 5*w^2 - 4*w - 23]', '[265, 265, 5*w^2 - 11*w - 9]', '[265, 265, w^2 + 2*w - 10]', '[265, 265, 4*w^2 - 8*w - 11]', '[265, 265, 3*w^2 - 3*w - 16]', '[265, 265, 4*w^2 - 3*w - 17]', '[265, 265, w - 7]', '[281, 281, 3*w^2 - 7*w - 9]', '[281, 281, w^2 + 2*w - 6]', '[281, 281, 4*w^2 - 5*w - 8]', '[307, 307, 3*w^2 - w - 11]', '[307, 307, 2*w^2 - 7*w - 6]', '[307, 307, 5*w^2 - 8*w - 10]', '[311, 311, -4*w^2 + 3*w + 8]', '[311, 311, 5*w^2 - 9*w - 15]', '[311, 311, 3*w^2 - 7*w - 12]', '[313, 313, 3*w^2 - 7*w - 10]', '[313, 313, w^2 + 2*w - 7]', '[313, 313, 4*w^2 - 5*w - 7]', '[317, 317, 5*w^2 - 7*w - 12]', '[317, 317, -3*w^2 + 8*w + 7]', '[317, 317, 2*w^2 + w - 7]', '[320, 20, -4*w^2 + 8*w + 12]', '[320, 20, -4*w^2 + 4*w + 8]', '[320, 20, -4*w + 4]', '[325, 65, -4*w^2 + 5*w + 6]', '[325, 65, -3*w^2 + 7*w + 11]', '[325, 65, -w^2 - 2*w + 8]', '[325, 325, -w^2 - 3*w + 4]', '[325, 325, -4*w^2 + 9*w + 9]', '[325, 325, -5*w^2 + 6*w + 13]', '[337, 337, 2*w^2 - 2*w - 13]', '[337, 337, -2*w^2 + 4*w - 3]', '[337, 337, -2*w - 7]', '[343, 7, -7]', '[351, 39, -3*w^2 + 9]', '[359, 359, 4*w^2 - 4*w - 7]', '[359, 359, 4*w - 5]', '[359, 359, 4*w^2 - 8*w - 13]', '[365, 365, -w - 7]', '[365, 365, 7*w^2 - 9*w - 21]', '[365, 365, -w^2 + 2*w - 5]', '[365, 365, 2*w^2 + 3*w - 4]', '[365, 365, 4*w^2 - 8*w - 15]', '[365, 365, 5*w^2 - 12*w - 8]', '[365, 365, 4*w - 7]', '[365, 365, 4*w^2 - 4*w - 5]', '[365, 365, w^2 - w - 10]', '[376, 94, 4*w - 6]', '[376, 94, 4*w^2 - 8*w - 14]', '[376, 94, 4*w^2 - 4*w - 6]', '[389, 389, 6*w^2 - 7*w - 17]', '[389, 389, 3*w^2 - 4*w - 16]', '[389, 389, -5*w^2 + 11*w + 10]', '[395, 395, w^2 - 6*w + 4]', '[395, 395, 4*w^2 - 3*w - 6]', '[395, 395, 3*w^2 + 2*w - 6]', '[395, 395, w^2 - 11]', '[395, 395, w^2 - 3*w - 10]', '[395, 395, -5*w^2 + 13*w + 7]', '[395, 395, 5*w^2 - 9*w - 17]', '[395, 395, 2*w^2 - 3*w + 3]', '[395, 395, 8*w^2 - 11*w - 24]', '[403, 403, -5*w^2 + 8*w + 8]', '[403, 403, -3*w^2 + w + 13]', '[403, 403, -2*w^2 + 7*w + 8]', '[415, 415, 5*w^2 - 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19]', '[9641, 9641, 24*w^2 - 34*w - 71]', '[9664, 604, -4*w^2 + 12*w - 16]', '[9664, 604, -4*w^2 - 12]', '[9664, 604, 8*w^2 - 12*w - 44]', '[9677, 9677, 10*w^2 - 5*w - 42]', '[9677, 9677, 5*w^2 - 20*w - 22]', '[9677, 9677, 8*w^2 - 13*w - 44]', '[9693, 1077, 12*w^2 - 12*w - 21]', '[9693, 1077, 12*w - 15]', '[9693, 1077, 12*w^2 - 24*w - 39]', '[9697, 9697, 15*w^2 - 28*w - 43]', '[9697, 9697, 4*w^2 + 5*w - 32]', '[9697, 9697, 7*w^2 - 5*w - 45]', '[9703, 9703, 13*w^2 - 14*w - 28]', '[9703, 9703, 12*w^2 - 25*w - 34]', '[9703, 9703, -7*w^2 + 12*w - 7]', '[9703, 9703, 17*w^2 - 22*w - 46]', '[9703, 9703, 5*w^2 + 7*w - 15]', '[9703, 9703, w^2 + 11*w - 13]', '[9703, 9703, 5*w^2 - 3*w - 38]', '[9703, 9703, 12*w^2 - 29*w - 24]', '[9703, 9703, 2*w^2 - 9*w - 27]', '[9719, 9719, -4*w^2 + 5*w - 12]', '[9719, 9719, w^2 + 2*w - 26]', '[9719, 9719, 3*w^2 - 7*w - 29]', '[9725, 1945, 9*w^2 - 11*w - 48]', '[9725, 1945, 9*w^2 - 2*w - 32]', '[9725, 1945, 18*w^2 - 30*w - 67]', '[9725, 1945, 11*w^2 - 23*w - 38]', '[9725, 1945, 17*w^2 - 15*w - 63]', '[9725, 1945, 19*w^2 - 26*w - 53]', '[9725, 1945, 6*w^2 - 24*w + 13]', '[9725, 1945, -16*w^2 + 25*w + 34]', '[9725, 1945, 7*w^2 - 16*w + 9]', '[9725, 9725, 16*w^2 - 25*w - 71]', '[9725, 9725, 8*w^2 - 21*w - 29]', '[9725, 9725, 21*w^2 - 34*w - 66]', '[9725, 9725, 23*w^2 - 26*w - 72]', '[9725, 9725, 5*w^2 + 4*w - 22]', '[9725, 9725, 7*w^2 - 23*w + 18]', '[9725, 9725, -5*w^2 - 3*w + 28]', '[9725, 9725, -17*w^2 + 31*w + 20]', '[9725, 9725, 14*w^2 - 11*w - 59]', '[9736, 2434, 14*w^2 - 20*w - 28]', '[9736, 2434, 6*w^2 + 2*w - 26]', '[9736, 2434, 8*w^2 - 22*w - 24]', '[9745, 9745, 4*w^2 - 4*w - 33]', '[9745, 9745, 6*w^2 - 13*w + 10]', '[9745, 9745, 13*w^2 - 9*w - 60]', '[9745, 9745, 9*w^2 - 3*w - 47]', '[9745, 9745, -17*w^2 + 30*w + 17]', '[9745, 9745, 16*w^2 - 31*w - 40]', '[9745, 9745, 15*w^2 - 31*w - 34]', '[9745, 9745, w^2 - 17*w + 5]', '[9745, 9745, 7*w^2 - 8*w - 42]', '[9749, 9749, 10*w^2 - 5*w - 46]', '[9749, 9749, -5*w^2 + 20*w + 26]', '[9749, 9749, -15*w^2 + 25*w + 19]', '[9755, 9755, 8*w^2 - 21*w - 32]', '[9755, 9755, 13*w^2 - 18*w - 18]', '[9755, 9755, 4*w^2 - 23*w - 15]', '[9755, 9755, -6*w^2 + w + 46]', '[9755, 9755, -11*w^2 + 17*w - 1]', '[9755, 9755, -5*w^2 - 3*w + 31]', '[9755, 9755, 15*w^2 - 11*w - 52]', '[9755, 9755, -19*w^2 + 34*w + 35]', '[9755, 9755, 5*w^2 - 16*w - 38]', '[9781, 9781, w^2 + 10*w - 20]', '[9781, 9781, 11*w^2 - 23*w - 39]', '[9781, 9781, 12*w^2 - 13*w - 18]', '[9784, 2446, -12*w^2 + 28*w + 26]', '[9784, 2446, -16*w^2 + 20*w + 42]', '[9784, 2446, 4*w^2 + 8*w - 14]', '[9803, 9803, 10*w^2 - 23*w - 30]', '[9803, 9803, 13*w^2 - 16*w - 26]', '[9803, 9803, 3*w^2 + 7*w - 19]', '[9815, 9815, -8*w^2 + 9*w - 5]', '[9815, 9815, 17*w^2 - 22*w - 74]', '[9815, 9815, w^2 + 6*w - 31]', '[9815, 9815, -2*w - 21]', '[9815, 9815, 7*w^2 - 15*w - 42]', '[9815, 9815, 2*w^2 - 2*w - 27]', '[9815, 9815, -2*w^2 + 4*w - 17]', '[9815, 9815, -5*w^2 - 7*w - 13]', '[9815, 9815, -12*w^2 + 29*w - 4]', '[9827, 9827, 13*w^2 - 7*w - 25]', '[9827, 9827, 8*w^2 - w - 31]', '[9827, 9827, 6*w^2 - 25*w + 2]', '[9827, 9827, 6*w^2 - 9*w - 38]', '[9827, 9827, 19*w^2 - 32*w - 58]', '[9827, 9827, 3*w^2 + 14]', '[9827, 9827, 7*w^2 - 22*w - 21]', '[9827, 9827, -3*w^2 + 9*w - 17]', '[9827, 9827, -15*w^2 + 23*w + 30]', '[9829, 9829, 14*w^2 - 21*w - 25]', '[9829, 9829, 7*w^2 - 21*w - 24]', '[9829, 9829, 7*w^2 - 31]', '[9833, 9833, 5*w^2 - 20*w - 23]', '[9833, 9833, -15*w^2 + 25*w + 22]', '[9833, 9833, 10*w^2 - 5*w - 43]', '[9855, 1095, -3*w - 21]', '[9855, 1095, 21*w^2 - 27*w - 63]', '[9855, 1095, -3*w^2 + 6*w - 15]', '[9855, 1095, 6*w^2 + 9*w - 12]', '[9855, 1095, 12*w^2 - 24*w - 45]', '[9855, 1095, 15*w^2 - 36*w - 24]', '[9855, 1095, 12*w - 21]', '[9855, 1095, 12*w^2 - 12*w - 15]', '[9855, 1095, 3*w^2 - 3*w - 30]', '[9859, 9859, 4*w^2 + 5*w - 23]', '[9859, 9859, 13*w^2 - 17*w - 24]', '[9859, 9859, 9*w^2 - 22*w - 29]', '[9875, 395, -15*w^2 + 25*w + 20]', '[9875, 395, 10*w^2 - 5*w - 45]', '[9875, 395, 5*w^2 - 20*w - 25]', '[9875, 1975, w^2 - 5*w + 21]', '[9875, 1975, -17*w^2 + 38*w + 29]', '[9875, 1975, -3*w^2 + 2*w - 14]', '[9875, 1975, 4*w^2 + 13*w - 7]', '[9875, 1975, w^2 - 15*w - 29]', '[9875, 1975, 13*w^2 + w - 14]', '[9875, 1975, 12*w^2 - 26*w - 31]', '[9875, 1975, 19*w^2 - 31*w - 43]', '[9875, 1975, 14*w^2 - 16*w - 33]', '[9875, 1975, 12*w^2 - 5*w - 38]', '[9875, 1975, 14*w^2 - 27*w - 2]', '[9875, 1975, 14*w^2 - 41*w - 3]', '[9875, 1975, 21*w^2 - 25*w - 64]', '[9875, 1975, 4*w^2 - 7*w - 32]', '[9875, 1975, -7*w^2 + 26*w + 16]', '[9875, 1975, -2*w^2 - 10*w + 13]', '[9875, 1975, 13*w^2 - 12*w - 66]', '[9875, 1975, 27*w^2 - 40*w - 93]', '[9875, 9875, 13*w^2 - 12*w - 28]', '[9875, 9875, 11*w^2 - 22*w + 2]', '[9875, 9875, 11*w^2 - 11*w - 57]', '[9875, 9875, 5*w^2 + 9*w - 12]', '[9875, 9875, w^2 - 15*w + 9]', '[9875, 9875, 14*w^2 - 27*w - 40]', '[9875, 9875, -14*w^2 + 33*w + 25]', '[9875, 9875, -11*w - 24]', '[9875, 9875, 19*w^2 - 24*w - 55]', '[9901, 9901, 5*w^2 - 20*w - 24]', '[9901, 9901, 10*w^2 - 5*w - 44]', '[9901, 9901, -15*w^2 + 25*w + 21]', '[9907, 9907, -3*w^2 + w - 14]', '[9907, 9907, 5*w^2 - 8*w - 35]', '[9907, 9907, -2*w^2 + 7*w - 19]', '[9920, 620, -8*w^2 + 28]', '[9920, 620, -4*w^2 + 8*w + 32]', '[9920, 620, -16*w^2 + 24*w + 36]', '[9920, 620, -8*w^2 + 24*w + 20]', '[9920, 620, -12*w^2 + 12*w + 20]', '[9920, 620, -12*w + 16]', '[9920, 620, -12*w^2 + 24*w + 40]', '[9920, 620, 4*w^2 - 4*w + 12]', '[9920, 620, -4*w + 24]', '[9931, 9931, 13*w^2 - 25*w - 49]', '[9931, 9931, 12*w^2 - 10*w - 21]', '[9931, 9931, 14*w^2 - 26*w - 45]', '[9985, 9985, -9*w^2 + 24*w - 10]', '[9985, 9985, 6*w^2 - 26*w - 15]', '[9985, 9985, 15*w^2 - 21*w - 67]', '[9985, 9985, 13*w^2 - 28*w - 31]', '[9985, 9985, 15*w^2 - 17*w - 38]', '[9985, 9985, -6*w^2 - 3*w - 10]', '[9985, 9985, 20*w^2 - 34*w - 43]', '[9985, 9985, 14*w^2 - 8*w - 45]', '[9985, 9985, 2*w^2 + 11*w - 11]', '[9992, 2498, -4*w^2 + 2*w - 12]', '[9992, 2498, 6*w^2 - 10*w - 38]', '[9992, 2498, -2*w^2 + 8*w - 20]'], 'label': '3.3.169.1', 'narrow_class_no': 1, 'primes': ['[5, 5, -w^2 + 2*w + 3]', '[5, 5, -w^2 + w + 2]', '[5, 5, -w + 1]', '[8, 2, 2]', '[13, 13, -w^2 + 3]', '[27, 3, 3]', '[31, 31, -2*w^2 + 3*w + 3]', '[31, 31, -w^2 + 5]', '[31, 31, -w^2 + 3*w + 4]', '[47, 47, 2*w - 3]', '[47, 47, 2*w^2 - 4*w - 7]', '[47, 47, 2*w^2 - 2*w - 3]', '[53, 53, 3*w^2 - 4*w - 8]', '[53, 53, 4*w^2 - 6*w - 11]', '[53, 53, 3*w^2 - 5*w - 6]', '[73, 73, w^2 - 4*w - 4]', '[73, 73, 2*w^2 - w - 8]', '[73, 73, 3*w^2 - 5*w - 5]', '[79, 79, -3*w^2 + 5*w + 4]', '[79, 79, 2*w^2 - w - 9]', '[79, 79, w^2 - 4*w - 5]', '[83, 83, w^2 + w - 4]', '[83, 83, 3*w^2 - 4*w - 7]', '[83, 83, -2*w^2 + 5*w + 5]', '[103, 103, 3*w^2 - 6*w - 8]', '[103, 103, 3*w - 2]', '[103, 103, 3*w^2 - 3*w - 7]', '[109, 109, 3*w^2 - 4*w - 6]', '[109, 109, 2*w^2 - 5*w - 6]', '[109, 109, w^2 + w - 5]', '[131, 131, -4*w^2 + 8*w + 9]', '[131, 131, 4*w^2 - 4*w - 11]', '[131, 131, 4*w - 1]', '[151, 151, -w^2 + 3*w - 4]', '[151, 151, -w^2 - 3]', '[151, 151, 2*w^2 - 3*w - 11]', '[157, 157, 4*w^2 - 7*w - 13]', '[157, 157, 3*w^2 - 6*w - 11]', '[157, 157, 3*w^2 - 2*w - 5]', '[181, 181, w^2 + 2*w - 4]', '[181, 181, 4*w^2 - 5*w - 10]', '[181, 181, -3*w^2 + 7*w + 7]', '[229, 229, -w - 6]', '[229, 229, -w^2 + 2*w - 4]', '[229, 229, w^2 - w - 9]', '[233, 233, 2*w^2 - 6*w - 7]', '[233, 233, 4*w^2 - 6*w - 7]', '[233, 233, 2*w^2 - 9]', '[239, 239, w^2 - 10]', '[239, 239, -w^2 + 3*w + 9]', '[239, 239, 2*w^2 - 11]', '[281, 281, 3*w^2 - 7*w - 9]', '[281, 281, w^2 + 2*w - 6]', '[281, 281, 4*w^2 - 5*w - 8]', '[307, 307, 3*w^2 - w - 11]', '[307, 307, 2*w^2 - 7*w - 6]', '[307, 307, 5*w^2 - 8*w - 10]', '[311, 311, -4*w^2 + 3*w + 8]', '[311, 311, 5*w^2 - 9*w - 15]', '[311, 311, 3*w^2 - 7*w - 12]', '[313, 313, 3*w^2 - 7*w - 10]', '[313, 313, w^2 + 2*w - 7]', '[313, 313, 4*w^2 - 5*w - 7]', '[317, 317, 5*w^2 - 7*w - 12]', '[317, 317, -3*w^2 + 8*w + 7]', '[317, 317, 2*w^2 + w - 7]', '[337, 337, 2*w^2 - 2*w - 13]', '[337, 337, -2*w^2 + 4*w - 3]', '[337, 337, -2*w - 7]', '[343, 7, -7]', '[359, 359, 4*w^2 - 4*w - 7]', '[359, 359, 4*w - 5]', '[359, 359, 4*w^2 - 8*w - 13]', '[389, 389, 6*w^2 - 7*w - 17]', '[389, 389, 3*w^2 - 4*w - 16]', '[389, 389, -5*w^2 + 11*w + 10]', '[421, 421, 2*w^2 - 3*w - 13]', '[421, 421, -w^2 + 3*w - 6]', '[421, 421, -w^2 - 5]', '[443, 443, 5*w^2 - 5*w - 12]', '[443, 443, 5*w - 3]', '[443, 443, -5*w^2 + 10*w + 13]', '[463, 463, 5*w^2 - 7*w - 10]', '[463, 463, 2*w^2 + w - 9]', '[463, 463, 3*w^2 - 8*w - 9]', '[467, 467, 3*w^2 - 10]', '[467, 467, -6*w^2 + 9*w + 14]', '[467, 467, 3*w^2 - 9*w - 7]', '[499, 499, 4*w^2 - 9*w - 11]', '[499, 499, w^2 + 3*w - 6]', '[499, 499, 5*w^2 - 6*w - 11]', '[521, 521, w^2 + 4*w - 4]', '[521, 521, -5*w^2 + 11*w + 11]', '[521, 521, 6*w^2 - 7*w - 16]', '[541, 541, w^2 + 3*w - 12]', '[541, 541, 5*w^2 - 6*w - 5]', '[541, 541, 4*w^2 - 9*w - 17]', '[547, 547, w^2 + w - 13]', '[547, 547, -2*w^2 + 5*w + 14]', '[547, 547, 2*w^2 + w - 12]', '[571, 571, 5*w^2 - 6*w - 10]', '[571, 571, 4*w^2 - 9*w - 12]', '[571, 571, w^2 + 3*w - 7]', '[577, 577, 3*w^2 - 11]', '[577, 577, 3*w^2 - 9*w - 8]', '[577, 577, -6*w^2 + 9*w + 13]', '[593, 593, 6*w^2 - 13*w - 12]', '[593, 593, 7*w^2 - 8*w - 20]', '[593, 593, 3*w^2 - 4*w - 17]', '[599, 599, 6*w^2 - 5*w - 15]', '[599, 599, -w^2 + 8*w - 1]', '[599, 599, -7*w^2 + 13*w + 18]', '[619, 619, 6*w^2 - 11*w - 18]', '[619, 619, 4*w^2 - 9*w - 16]', '[619, 619, w^2 + 3*w - 11]', '[677, 677, 2*w^2 + 3*w - 6]', '[677, 677, -7*w^2 + 9*w + 19]', '[677, 677, 5*w^2 - 12*w - 10]', '[701, 701, 5*w^2 - 10*w - 19]', '[701, 701, 6*w^2 - 11*w - 19]', '[701, 701, 5*w^2 - 4*w - 9]', '[727, 727, 5*w^2 - 5*w - 8]', '[727, 727, 5*w - 7]', '[727, 727, 5*w^2 - 10*w - 17]', '[733, 733, 5*w^2 - 3*w - 8]', '[733, 733, 5*w^2 - 10*w - 18]', '[733, 733, 7*w^2 - 12*w - 23]', '[811, 811, 3*w^2 - 14]', '[811, 811, 6*w^2 - 9*w - 10]', '[811, 811, 3*w^2 - 9*w - 11]', '[827, 827, -2*w^2 + 5*w + 15]', '[827, 827, 3*w^2 - 16]', '[827, 827, w^2 + w - 14]', '[853, 853, -2*w^2 + 5*w - 6]', '[853, 853, 3*w^2 - 4*w - 18]', '[853, 853, -w^2 - w - 7]', '[857, 857, -2*w^2 + 3*w - 5]', '[857, 857, w^2 - 13]', '[857, 857, w^2 - 3*w - 12]', '[859, 859, w^2 - 2*w - 12]', '[859, 859, -w^2 + w - 7]', '[859, 859, w - 10]', '[863, 863, 2*w^2 - 9*w - 9]', '[863, 863, 4*w^2 - 6*w - 21]', '[863, 863, 5*w^2 - 3*w - 20]', '[883, 883, -w^2 + 3*w - 8]', '[883, 883, -w^2 - 7]', '[883, 883, 2*w^2 - 3*w - 15]', '[911, 911, 4*w^2 - w - 15]', '[911, 911, 3*w^2 - 10*w - 9]', '[911, 911, 7*w^2 - 11*w - 14]', '[937, 937, 7*w^2 - 13*w - 20]', '[937, 937, 4*w^2 - 10*w - 17]', '[937, 937, 2*w^2 + 2*w - 15]', '[941, 941, -7*w^2 + 10*w + 16]', '[941, 941, 4*w^2 - 11*w - 10]', '[941, 941, 3*w^2 + w - 11]', '[967, 967, 3*w^2 - 3*w - 19]', '[967, 967, -7*w^2 + 14*w + 17]', '[967, 967, 7*w^2 - 7*w - 18]', '[983, 983, 8*w^2 - 11*w - 21]', '[983, 983, -5*w^2 + 13*w + 10]', '[983, 983, -8*w^2 + 13*w + 17]']}
4. label: 3.3.229.1
   {'degree': 3, 'discriminant': 229, 'ideals': ['[1, 1, 1]', '[2, 2, w + 1]', '[4, 2, -w^2 + w + 3]', '[4, 4, w - 1]', '[7, 7, w^2 - 2]', '[8, 2, 2]', '[8, 8, w^2 - w - 4]', '[13, 13, -w^2 + 2*w + 2]', '[14, 14, -w + 3]', '[16, 4, w^2 + w - 3]', '[16, 4, 2*w + 2]', '[16, 16, -w - 3]', '[23, 23, -2*w + 1]', '[26, 26, -w^2 - w + 4]', '[27, 3, 3]', '[28, 14, w^2 + w - 5]', '[28, 28, -w^2 + 2*w + 3]', '[29, 29, -2*w + 3]', '[31, 31, -2*w^2 + 2*w + 3]', '[32, 4, -2*w^2 + 2*w + 6]', '[32, 8, 2*w - 2]', '[32, 32, -2*w^2 + w + 5]', '[37, 37, 4*w^2 - 2*w - 13]', '[37, 37, -2*w^2 + 5]', '[37, 37, 2*w^2 - w - 10]', '[41, 41, w^2 - 2*w - 4]', '[46, 46, -w^2 + 2*w + 5]', '[47, 47, w - 4]', '[49, 7, 2*w^2 - w - 4]', '[49, 49, w + 4]', '[52, 26, w^2 - w - 7]', '[52, 52, -2*w^2 - w + 3]', '[53, 53, 2*w^2 - 2*w - 7]', '[53, 53, 3*w^2 - 2*w - 8]', '[53, 53, 2*w + 5]', '[54, 6, 3*w + 3]', '[56, 14, 2*w^2 - 4]', '[56, 56, -2*w^2 - w + 7]', '[58, 58, -2*w^2 + w + 3]', '[59, 59, 2*w^2 - 2*w - 9]', '[62, 62, -w^2 + 7]', '[64, 4, 4]', '[64, 8, w^2 - 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1]', '[128, 8, 2*w^2 + 2*w - 6]', '[128, 8, 4*w + 4]', '[128, 32, -2*w - 6]', '[128, 128, 3*w^2 - 4*w - 7]', '[131, 131, 4*w^2 - 3*w - 10]', '[134, 134, 2*w^2 + 5*w - 1]', '[137, 137, 3*w^2 - 2*w - 6]', '[139, 139, -w^2 - 2*w + 10]', '[146, 146, 3*w^2 + w - 6]', '[148, 74, -3*w^2 + w + 15]', '[148, 74, 3*w^2 + w - 13]', '[148, 74, 7*w^2 - 3*w - 27]', '[148, 148, -2*w^2 + 3*w + 7]', '[148, 148, 3*w^2 - 7]', '[148, 148, -3*w^2 - w + 12]', '[157, 157, 4*w^2 - 4*w - 11]', '[158, 158, 3*w^2 - 3*w - 10]', '[161, 161, w^2 - 4*w - 4]', '[163, 163, 2*w^2 - 4*w - 5]', '[164, 82, w^2 + w - 9]', '[164, 164, -3*w^2 + 2*w + 5]', '[169, 13, 2*w^2 - 3*w - 10]', '[169, 169, -w^2 - 2*w - 4]', '[173, 173, 3*w^2 - 2*w - 4]', '[173, 173, 2*w^2 - 3*w - 8]', '[173, 173, 2*w^2 + 2*w - 7]', '[178, 178, 3*w^2 + 2*w - 3]', '[179, 179, 4*w^2 - 2*w - 11]', '[182, 182, 2*w^2 - 3*w - 9]', '[184, 46, -4*w + 2]', '[184, 184, 3*w^2 - w - 6]', '[188, 94, -3*w^2 - w + 5]', '[188, 188, -2*w^2 - 3*w - 3]', '[189, 21, 3*w^2 - 6]', '[191, 191, w - 6]', '[193, 193, -w - 6]', '[193, 193, 2*w^2 + 2*w - 11]', '[193, 193, 2*w^2 - w - 12]', '[196, 14, w^2 + 3*w - 9]', '[196, 28, -3*w^2 + 5*w + 6]', '[196, 98, -3*w^2 + 3*w + 11]', '[196, 196, w^2 + 3*w - 4]', '[197, 197, 3*w^2 - 2*w - 16]', '[199, 199, 4*w^2 + w - 10]', '[202, 202, 3*w^2 + 4*w - 5]', '[203, 203, 3*w^2 - 4*w - 8]', '[208, 52, 3*w^2 - w - 5]', '[208, 52, -2*w^2 - 2*w + 8]', '[208, 208, w^2 - 4*w - 5]', '[211, 211, 5*w + 4]', '[212, 106, 3*w^2 + w - 17]', '[212, 106, 3*w^2 + 3*w - 19]', '[212, 106, -3*w^2 + 3*w + 13]', '[212, 212, -5*w^2 + 6*w + 11]', '[212, 212, -4*w^2 + 3*w + 9]', '[212, 212, 2*w^2 + 3*w - 5]', '[214, 214, 5*w^2 + 6*w - 5]', '[216, 6, 6]', '[216, 24, 3*w^2 - 3*w - 12]', '[217, 217, -w^2 + 2*w - 4]', '[218, 218, 3*w^2 - 5]', '[223, 223, -2*w + 7]', '[224, 28, 2*w^2 + 2*w - 10]', '[224, 56, -2*w^2 + 4*w + 6]', '[224, 224, w^2 - 9]', '[226, 226, -w^2 - w - 4]', '[227, 227, -2*w^2 + w - 2]', '[229, 229, 3*w^2 - 4]', '[229, 229, 4*w - 3]', '[232, 58, -4*w + 6]', '[232, 232, 3*w^2 - 6*w - 5]', '[236, 118, 5*w^2 - w - 23]', '[236, 236, -4*w^2 + w + 11]', '[239, 239, -2*w - 7]', '[241, 241, -w^2 + 4*w - 6]', '[241, 241, w^2 - 4*w - 6]', '[241, 241, -w^2 + 4*w + 8]', '[248, 62, -4*w^2 + 4*w + 6]', '[248, 248, w^2 + 3*w - 8]', '[250, 10, -5*w - 5]', '[251, 251, -3*w - 8]', '[254, 254, 4*w^2 + 3*w - 1]', '[256, 8, -4*w^2 + 4*w + 12]', '[256, 16, -w^2 + 3*w - 5]', '[256, 16, 4*w - 4]', '[256, 64, -4*w^2 + 2*w + 10]', '[256, 256, -w^2 + w - 4]', '[257, 257, -w^2 - 4]', '[259, 259, -6*w^2 + 19]', '[259, 259, -5*w^2 + 24]', '[259, 259, -w^2 + 2*w + 10]', '[262, 262, w^2 + 3*w - 6]', '[263, 263, 3*w^2 + 2*w - 10]', '[268, 134, w^2 + 3*w - 7]', '[268, 268, -2*w^2 + 5*w + 5]', '[269, 269, 4*w^2 - 4*w - 5]', '[274, 274, w^2 + 4*w - 3]', '[278, 278, -3*w^2 + 4*w + 9]', '[281, 281, 2*w^2 - 4*w - 7]', '[283, 283, 4*w^2 - 3*w - 8]', '[287, 287, -2*w^2 - 3*w + 6]', '[292, 146, 7*w^2 - 3*w - 23]', '[292, 292, -w^2 - w + 10]', '[296, 74, 8*w^2 - 4*w - 26]', '[296, 74, 4*w^2 - 10]', '[296, 74, 4*w^2 - 2*w - 20]', '[296, 296, -5*w^2 - w + 18]', '[296, 296, -w^2 - 2*w + 11]', '[296, 296, -9*w^2 + 4*w + 37]', '[299, 299, -4*w^2 + 5*w + 10]', '[313, 313, 4*w^2 - w - 10]', '[314, 314, w - 7]', '[316, 158, -w^2 + 5*w + 5]', '[316, 316, -w - 7]', '[317, 317, 5*w - 2]', '[322, 322, 3*w^2 + 3*w - 8]', '[326, 326, -2*w^2 - w - 3]', '[328, 82, 2*w^2 - 4*w - 8]', '[328, 328, -2*w^2 + w + 13]', '[329, 329, -4*w^2 + 2*w + 9]', '[331, 331, -2*w^2 - 2*w + 15]', '[338, 26, -w^2 - 5*w - 8]', '[338, 338, -4*w^2 + 3*w + 7]', '[343, 7, 7]', '[343, 343, 4*w^2 + 2*w - 7]', '[346, 346, w^2 + 6*w - 1]', '[346, 346, -w^2 - 3*w - 6]', '[346, 346, 4*w^2 + 3*w - 5]', '[347, 347, -4*w^2 + 4*w + 13]', '[347, 347, 4*w^2 + 2*w - 13]', '[347, 347, 3*w^2 - 4*w - 10]', '[349, 349, 2*w^2 - 4*w - 11]', '[351, 39, -3*w^2 + 6*w + 6]', '[353, 353, w^2 + 4*w - 4]', '[356, 178, 5*w^2 - 3*w - 13]', '[356, 356, w^2 - 2*w + 5]', '[358, 358, 2*w^2 + 3*w - 7]', '[359, 359, 2*w^2 - 5*w - 6]', '[359, 359, 2*w^2 - 4*w - 9]', '[359, 359, 6*w - 1]', '[364, 182, 5*w^2 - 5*w - 9]', '[364, 364, -w^2 - 4*w - 7]', '[368, 92, -2*w^2 + 4*w + 10]', '[368, 92, -w^2 - w - 5]', '[368, 368, 2*w^2 + 5*w - 3]', '[371, 371, -3*w^2 - 2*w + 12]', '[371, 371, -2*w^2 - w + 14]', '[371, 371, 5*w^2 + 4*w - 8]', '[376, 94, 2*w - 8]', '[376, 376, -4*w^2 + 3*w + 5]', '[377, 377, 4*w^2 - 9]', '[378, 42, -3*w + 9]', '[379, 379, 5*w^2 - 14]', '[382, 382, w^2 - 5*w - 6]', '[383, 383, 5*w^2 - 2*w - 14]', '[383, 383, 4*w^2 + w - 8]', '[383, 383, 3*w^2 + 2*w - 14]', '[386, 386, w^2 - 5*w - 10]', '[386, 386, -w^2 - 7*w - 6]', '[386, 386, 4*w^2 - w - 9]', '[389, 389, 4*w^2 - 4*w - 19]', '[392, 14, 4*w^2 - 2*w - 8]', '[392, 56, -3*w^2 - 2*w + 13]', '[392, 98, 2*w + 8]', '[392, 392, 3*w^2 - 4*w - 15]', '[394, 394, w^2 - 6*w - 13]', '[398, 398, 5*w^2 + 7*w - 6]', '[403, 403, 2*w^2 + 4*w - 5]', '[404, 202, 5*w^2 + w - 21]', '[404, 404, -3*w^2 + 4*w + 11]', '[406, 406, -w^2 - 5]', '[413, 413, -5*w^2 - 2*w + 16]', '[416, 52, 2*w^2 - 2*w - 14]', '[416, 104, -4*w^2 - 2*w + 6]', '[416, 416, 4*w^2 + 3*w - 11]', '[419, 419, 2*w^2 + 3*w - 8]', '[422, 422, -w^2 + 6*w - 3]', '[424, 106, 4*w^2 - 4*w - 14]', '[424, 106, 6*w^2 - 4*w - 16]', '[424, 106, 4*w + 10]', '[424, 424, -6*w^2 - w + 27]', '[424, 424, -5*w^2 + w + 24]', '[424, 424, 3*w^2 - 5*w - 18]', '[428, 214, 7*w^2 - w - 23]', '[428, 428, -w^2 + 2*w + 11]', '[432, 12, 3*w^2 + 3*w - 9]', '[432, 12, 6*w + 6]', '[432, 48, -3*w - 9]', '[434, 434, 5*w^2 - w - 14]', '[436, 218, 7*w^2 - 5*w - 19]', '[436, 436, w^2 - 4*w + 7]', '[439, 439, 4*w^2 - 2*w - 7]', '[439, 439, 4*w^2 + w - 22]', '[439, 439, 9*w^2 - 4*w - 30]', '[443, 443, 2*w^2 + 3*w - 12]', '[443, 443, 3*w^2 - 4*w - 12]', '[443, 443, 3*w^2 - 4*w - 14]', '[446, 446, -2*w^2 + 5*w + 7]', '[448, 28, 4*w^2 - 8]', '[448, 56, -w^2 - 5*w + 3]', '[448, 112, -4*w^2 - 2*w + 14]', '[448, 448, w^2 - 5*w - 8]', '[449, 449, -6*w^2 + 5*w + 14]', '[449, 449, -2*w^2 - 5*w - 6]', '[449, 449, 4*w^2 - w - 8]', '[452, 226, w^2 + 3*w - 13]', '[452, 452, -5*w^2 + 5*w + 8]', '[454, 454, -w^2 - 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w - 14]', '[509, 509, 6*w^2 - 29]', '[511, 511, -4*w^2 + 4*w + 17]', '[512, 8, 8]', '[512, 16, 2*w^2 - 6*w - 6]', '[512, 32, 4*w^2 - 4*w - 16]', '[512, 128, -2*w^2 - 4*w + 6]', '[512, 512, 5*w^2 - 13]', '[514, 514, -w^2 - 8*w - 5]', '[518, 518, 7*w^2 - w - 32]', '[518, 518, -5*w^2 + 4*w + 19]', '[518, 518, 6*w^2 - 3*w - 17]', '[521, 521, 4*w^2 - w - 6]', '[523, 523, 2*w^2 - 5*w - 8]', '[524, 262, -w^2 + w + 11]', '[524, 524, 4*w^2 + w - 5]', '[526, 526, 5*w^2 + 4*w - 7]', '[529, 23, 4*w^2 + 2*w - 15]', '[529, 529, -w^2 - 4*w + 8]', '[533, 533, -2*w^2 + 3*w - 4]', '[536, 134, 4*w^2 - 6]', '[536, 536, -3*w^2 - 3*w + 10]', '[538, 538, -7*w + 1]', '[541, 541, 6*w^2 - w - 18]', '[541, 541, 4*w^2 - 5]', '[541, 541, -w^2 + 2*w - 6]', '[547, 547, -4*w^2 + 5*w + 12]', '[548, 274, w^2 + 5*w - 13]', '[548, 548, -5*w^2 + 8*w + 9]', '[553, 553, w^2 - 6*w - 12]', '[556, 278, -11*w^2 + 9*w + 31]', '[556, 556, -w^2 + 8*w - 11]', '[562, 562, -2*w^2 - 3*w - 5]', '[563, 563, 4*w^2 - 3*w - 22]', '[566, 566, w^2 + 5*w - 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9*w + 22]', '[9964, 9964, 2*w^2 - 15*w - 19]', '[9967, 9967, 7*w^2 - 16*w - 18]', '[9968, 2492, 2*w^2 + 12*w - 26]', '[9968, 2492, 13*w^2 + 5*w - 27]', '[9968, 9968, -10*w^2 + 19*w + 19]', '[9971, 767, 6*w^2 + 4*w - 43]', '[9971, 9971, -3*w^2 + 16*w + 34]', '[9982, 9982, 7*w^2 - 13*w - 24]', '[9992, 2498, 4*w^2 + 12*w - 38]', '[9992, 2498, 2*w^2 - 16*w - 16]', '[9992, 2498, -18*w^2 + 16*w + 52]', '[9992, 9992, 5*w + 23]', '[9992, 9992, -25*w^2 + 13*w + 80]', '[9992, 9992, 18*w^2 + w - 87]', '[9998, 9998, -5*w^2 - 2*w - 11]'], 'label': '3.3.229.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w + 1]', '[4, 2, -w^2 + w + 3]', '[7, 7, w^2 - 2]', '[13, 13, -w^2 + 2*w + 2]', '[23, 23, -2*w + 1]', '[27, 3, 3]', '[29, 29, -2*w + 3]', '[31, 31, -2*w^2 + 2*w + 3]', '[37, 37, 4*w^2 - 2*w - 13]', '[37, 37, -2*w^2 + 5]', '[37, 37, 2*w^2 - w - 10]', '[41, 41, w^2 - 2*w - 4]', '[47, 47, w - 4]', '[49, 7, 2*w^2 - w - 4]', '[53, 53, 2*w^2 - 2*w - 7]', '[53, 53, 3*w^2 - 2*w - 8]', '[53, 53, 2*w + 5]', '[59, 59, 2*w^2 - 2*w - 9]', '[67, 67, 2*w^2 - 3]', '[73, 73, 2*w^2 + w - 8]', '[79, 79, -2*w^2 - 2*w + 5]', '[89, 89, w^2 + 2*w - 4]', '[101, 101, 3*w^2 - 8]', '[107, 107, 3*w^2 + 2*w - 8]', '[109, 109, w^2 + 2*w - 6]', '[113, 113, 2*w^2 - 3*w - 6]', '[125, 5, -5]', '[127, 127, 4*w - 1]', '[131, 131, 4*w^2 - 3*w - 10]', '[137, 137, 3*w^2 - 2*w - 6]', '[139, 139, -w^2 - 2*w + 10]', '[157, 157, 4*w^2 - 4*w - 11]', '[163, 163, 2*w^2 - 4*w - 5]', '[169, 13, 2*w^2 - 3*w - 10]', '[173, 173, 3*w^2 - 2*w - 4]', '[173, 173, 2*w^2 - 3*w - 8]', '[173, 173, 2*w^2 + 2*w - 7]', '[179, 179, 4*w^2 - 2*w - 11]', '[191, 191, w - 6]', '[193, 193, -w - 6]', '[193, 193, 2*w^2 + 2*w - 11]', '[193, 193, 2*w^2 - w - 12]', '[197, 197, 3*w^2 - 2*w - 16]', '[199, 199, 4*w^2 + w - 10]', '[211, 211, 5*w + 4]', '[223, 223, -2*w + 7]', '[227, 227, -2*w^2 + w - 2]', '[229, 229, 3*w^2 - 4]', '[229, 229, 4*w - 3]', '[239, 239, -2*w - 7]', '[241, 241, -w^2 + 4*w - 6]', '[241, 241, w^2 - 4*w - 6]', '[241, 241, -w^2 + 4*w + 8]', '[251, 251, -3*w - 8]', '[257, 257, -w^2 - 4]', '[263, 263, 3*w^2 + 2*w - 10]', '[269, 269, 4*w^2 - 4*w - 5]', '[281, 281, 2*w^2 - 4*w - 7]', '[283, 283, 4*w^2 - 3*w - 8]', '[313, 313, 4*w^2 - w - 10]', '[317, 317, 5*w - 2]', '[331, 331, -2*w^2 - 2*w + 15]', '[347, 347, -4*w^2 + 4*w + 13]', '[347, 347, 4*w^2 + 2*w - 13]', '[347, 347, 3*w^2 - 4*w - 10]', '[349, 349, 2*w^2 - 4*w - 11]', '[353, 353, w^2 + 4*w - 4]', '[359, 359, 2*w^2 - 5*w - 6]', '[359, 359, 2*w^2 - 4*w - 9]', '[359, 359, 6*w - 1]', '[379, 379, 5*w^2 - 14]', '[383, 383, 5*w^2 - 2*w - 14]', '[383, 383, 4*w^2 + w - 8]', '[383, 383, 3*w^2 + 2*w - 14]', '[389, 389, 4*w^2 - 4*w - 19]', '[419, 419, 2*w^2 + 3*w - 8]', '[439, 439, 4*w^2 - 2*w - 7]', '[439, 439, 4*w^2 + w - 22]', '[439, 439, 9*w^2 - 4*w - 30]', '[443, 443, 2*w^2 + 3*w - 12]', '[443, 443, 3*w^2 - 4*w - 12]', '[443, 443, 3*w^2 - 4*w - 14]', '[449, 449, -6*w^2 + 5*w + 14]', '[449, 449, -2*w^2 - 5*w - 6]', '[449, 449, 4*w^2 - w - 8]', '[461, 461, 5*w^2 - 4*w - 22]', '[461, 461, 5*w - 4]', '[461, 461, 4*w^2 - 2*w - 5]', '[479, 479, w - 8]', '[487, 487, 2*w^2 + 3*w - 10]', '[499, 499, 6*w^2 + 2*w - 15]', '[503, 503, 4*w^2 - 7]', '[503, 503, 4*w^2 + w - 6]', '[503, 503, w^2 + 2*w - 12]', '[509, 509, 4*w^2 - 2*w - 21]', '[509, 509, 2*w^2 - w - 14]', '[509, 509, 6*w^2 - 29]', '[521, 521, 4*w^2 - w - 6]', '[523, 523, 2*w^2 - 5*w - 8]', '[529, 23, 4*w^2 + 2*w - 15]', '[541, 541, 6*w^2 - w - 18]', '[541, 541, 4*w^2 - 5]', '[541, 541, -w^2 + 2*w - 6]', '[547, 547, -4*w^2 + 5*w + 12]', '[563, 563, 4*w^2 - 3*w - 22]', '[571, 571, 4*w^2 + 3*w - 12]', '[577, 577, 2*w - 9]', '[593, 593, 2*w^2 - 7*w + 8]', '[593, 593, 2*w^2 + 4*w - 15]', '[593, 593, -2*w - 9]', '[599, 599, w^2 + 8*w + 6]', '[601, 601, -w^2 - 6]', '[607, 607, 6*w^2 - 4*w - 15]', '[607, 607, 4*w^2 + 2*w - 17]', '[607, 607, 6*w^2 - 7*w - 8]', '[613, 613, -3*w + 10]', '[617, 617, -7*w - 6]', '[617, 617, 2*w^2 + 4*w - 7]', '[617, 617, 7*w^2 - 4*w - 20]', '[619, 619, 3*w^2 - 6*w - 8]', '[619, 619, 5*w^2 - 2*w - 12]', '[619, 619, 3*w^2 + 4*w - 8]', '[643, 643, -5*w^2 + 12]', '[643, 643, 2*w^2 - 2*w - 15]', '[643, 643, 6*w^2 - 6*w - 17]', '[647, 647, w^2 - 2*w - 12]', '[653, 653, 2*w^2 - 4*w + 5]', '[659, 659, 5*w^2 - 4*w - 8]', '[677, 677, 6*w^2 - 2*w - 17]', '[691, 691, 6*w^2 - 5*w - 20]', '[691, 691, 6*w^2 - 3*w - 16]', '[691, 691, -4*w^2 - 3*w + 22]', '[709, 709, -8*w^2 + 6*w + 21]', '[719, 719, w^2 - 4*w - 14]', '[727, 727, 2*w^2 - 15]', '[739, 739, -4*w^2 + 5*w + 20]', '[761, 761, 5*w^2 - 6*w - 14]', '[773, 773, 10*w^2 - 5*w - 32]', '[797, 797, 6*w^2 - 5*w - 12]', '[809, 809, 2*w^2 + 5*w - 6]', '[811, 811, 6*w - 5]', '[823, 823, 5*w^2 - 2*w - 10]', '[827, 827, -2*w^2 - 4*w + 13]', '[829, 829, 4*w^2 + 4*w - 11]', '[839, 839, -6*w^2 - 2*w + 21]', '[841, 29, 2*w^2 + 3*w - 18]', '[853, 853, -2*w^2 - 5]', '[857, 857, -2*w^2 + 2*w - 5]', '[877, 877, 2*w^2 + 4*w - 11]', '[881, 881, 6*w - 7]', '[887, 887, 3*w^2 - 6*w - 10]', '[907, 907, 4*w^2 - 5*w - 18]', '[907, 907, 3*w^2 + 4*w - 10]', '[907, 907, 7*w^2 - 6*w - 22]', '[929, 929, 4*w^2 - 7*w - 10]', '[937, 937, -8*w - 7]', '[947, 947, 5*w^2 - 2*w - 8]', '[961, 31, 7*w^2 - 8*w - 10]', '[967, 967, 2*w^2 - 6*w - 13]', '[967, 967, 7*w^2 + 2*w - 24]', '[967, 967, 6*w^2 - 5*w - 26]', '[977, 977, 2*w^2 - 6*w - 11]', '[977, 977, 6*w^2 + 6*w - 5]', '[977, 977, -w^2 - 2*w - 8]', '[983, 983, 2*w^2 + 6*w - 5]']}
5. label: 3.3.257.1
   {'degree': 3, 'discriminant': 257, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[5, 5, w + 1]', '[7, 7, -w^2 + 2]', '[8, 2, 2]', '[9, 3, -w^2 + w + 4]', '[9, 9, -w^2 - w + 3]', '[15, 15, -w^2 + 6]', '[19, 19, w^2 + w - 4]', '[21, 21, w + 3]', '[24, 6, 2*w]', '[25, 5, -w^2 + 2*w + 2]', '[25, 25, -w^2 - w + 5]', '[27, 3, 3]', '[27, 27, -2*w^2 + w + 6]', '[35, 35, -w + 4]', '[37, 37, 2*w + 1]', '[40, 10, 2*w + 2]', '[41, 41, -2*w^2 - w + 7]', '[43, 43, -2*w^2 + 5]', '[45, 15, -w^2 - 2*w + 4]', '[45, 45, -w^2 + 2*w + 3]', '[47, 47, 3*w - 4]', '[49, 7, 2*w^2 - w - 5]', '[49, 49, w^2 + w + 1]', '[53, 53, -2*w^2 + 2*w + 7]', '[56, 14, -2*w^2 + 4]', '[57, 57, 2*w^2 - 3]', '[61, 61, -w^2 - 3*w + 4]', '[61, 61, 3*w^2 - w - 10]', '[61, 61, w^2 - 2*w - 4]', '[63, 21, -2*w^2 - w + 8]', '[63, 63, -2*w^2 + 2*w + 3]', '[64, 4, 4]', '[67, 67, 2*w^2 - w - 4]', '[67, 67, 2*w^2 - w - 2]', '[67, 67, w^2 + 2*w - 5]', '[71, 71, -2*w^2 - w + 10]', '[72, 6, -2*w^2 + 2*w + 8]', '[72, 18, -2*w^2 - 2*w + 6]', '[75, 15, -2*w^2 - w + 9]', '[75, 75, -2*w^2 + w + 3]', '[81, 9, 3*w]', '[81, 9, -w^2 - 2*w + 7]', '[81, 81, -w^2 - 2*w + 6]', '[83, 83, w - 5]', '[95, 95, 2*w^2 - 3*w - 5]', '[97, 97, -w^2 - 2]', '[101, 101, w^2 - 3*w - 2]', '[103, 103, w^2 - 8]', '[105, 105, -3*w^2 + w + 9]', '[107, 107, w^2 - w - 8]', '[109, 109, 4*w^2 + w - 14]', '[111, 111, -w^2 - w + 9]', '[113, 113, 2*w^2 + 2*w - 7]', '[113, 113, -3*w - 1]', '[113, 113, -3*w^2 - w + 4]', '[120, 30, -2*w^2 + 12]', '[123, 123, -3*w^2 - w + 6]', '[125, 5, 5]', '[125, 125, -3*w^2 + 8]', '[127, 127, -w - 5]', '[129, 129, -2*w^2 - 3*w + 6]', '[131, 131, 2*w^2 - 5*w - 1]', '[133, 133, -3*w - 2]', '[135, 15, 3*w + 3]', '[135, 135, w^2 - w + 3]', '[141, 141, 3*w^2 - 4*w]', '[147, 21, w^2 + 3*w - 6]', '[147, 147, -2*w^2 + 3*w + 6]', '[149, 149, -3*w^2 + 3*w + 10]', '[151, 151, 3*w^2 - w - 8]', '[152, 38, 2*w^2 + 2*w - 8]', '[157, 157, 5*w^2 - 22]', '[157, 157, 3*w^2 + 4*w - 7]', '[157, 157, -3*w^2 - w + 13]', '[159, 159, -w + 6]', '[163, 163, 3*w^2 - 7]', '[167, 167, 3*w^2 - 2*w - 7]', '[168, 42, 2*w + 6]', '[171, 57, w^2 - 4*w - 1]', '[171, 171, -w^2 - 2*w - 3]', '[175, 35, -w^2 - 3*w + 7]', '[175, 175, -w^2 + 3*w + 4]', '[179, 179, 3*w^2 + 2*w - 10]', '[181, 181, -3*w^2 + 4]', '[183, 183, -4*w^2 + 3]', '[183, 183, 2*w^2 + 2*w - 9]', '[183, 183, -w^2 - 3]', '[185, 185, -w^2 - 3*w + 8]', '[189, 21, -3*w^2 + 6]', '[189, 189, -w^2 + 9]', '[191, 191, 5*w^2 - 3*w - 20]', '[192, 12, 4*w]', '[193, 193, 2*w^2 - 3*w - 7]', '[193, 193, 3*w^2 - w - 7]', '[193, 193, 2*w^2 + 3*w - 7]', '[197, 197, w^2 - 3*w - 5]', '[197, 197, 2*w^2 + 2*w - 11]', '[197, 197, 3*w^2 - 5]', '[200, 10, -2*w^2 + 4*w + 4]', '[200, 50, -2*w^2 - 2*w + 10]', '[201, 201, 3*w^2 - w - 3]', '[201, 201, w^2 + 4*w - 6]', '[201, 201, w^2 + 6*w - 6]', '[205, 205, -3*w^2 + 3*w + 11]', '[213, 213, 3*w^2 - 2*w - 6]', '[215, 215, -w^2 - w + 10]', '[216, 6, 6]', '[216, 54, -4*w^2 + 2*w + 12]', '[225, 15, 2*w^2 + w + 1]', '[225, 45, -3*w^2 + w + 6]', '[225, 75, -2*w^2 + 5*w + 2]', '[225, 225, w + 6]', '[227, 227, -3*w^2 + 4*w + 8]', '[227, 227, 2*w^2 - 13]', '[227, 227, 2*w^2 - 3*w - 8]', '[229, 229, 3*w^2 - 3*w - 4]', '[233, 233, 3*w^2 - 17]', '[235, 235, 3*w^2 - w - 4]', '[241, 241, w^2 - 4*w - 2]', '[241, 241, -w^2 + w - 4]', '[241, 241, 3*w^2 - w - 5]', '[243, 9, -3*w^2 + 3*w + 12]', '[243, 27, -3*w^2 - 3*w + 9]', '[243, 243, -2*w^2 + 3*w + 9]', '[245, 35, 3*w^2 + 2*w - 11]', '[245, 245, -3*w^2 + 2*w + 5]', '[249, 249, w^2 - 5*w]', '[251, 251, -4*w - 1]', '[257, 257, 3*w^2 - 2*w - 4]', '[257, 257, 2*w^2 + 3*w - 8]', '[259, 259, -3*w^2 - 4*w + 8]', '[263, 263, -2*w^2 - 4*w + 7]', '[265, 265, -w^2 - 4*w + 7]', '[269, 269, w - 7]', '[271, 271, 4*w^2 - 11]', '[277, 277, -w^2 + 2*w - 5]', '[280, 70, -2*w + 8]', '[281, 281, 2*w^2 - 4*w - 5]', '[285, 285, -w^2 + 3*w - 6]', '[287, 287, -4*w^2 + 3*w + 10]', '[291, 291, -w^2 - 6*w + 3]', '[296, 74, 4*w + 2]', '[301, 301, w^2 + 2*w + 4]', '[303, 303, -2*w^2 + 2*w - 3]', '[305, 305, -5*w^2 - 3*w + 7]', '[305, 305, -2*w - 7]', '[305, 305, 5*w^2 + w - 19]', '[309, 309, w^2 - 4*w - 3]', '[311, 311, w^2 - 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w - 7]', '[193, 193, 2*w^2 + 3*w - 7]', '[197, 197, w^2 - 3*w - 5]', '[197, 197, 2*w^2 + 2*w - 11]', '[197, 197, 3*w^2 - 5]', '[227, 227, -3*w^2 + 4*w + 8]', '[227, 227, 2*w^2 - 13]', '[227, 227, 2*w^2 - 3*w - 8]', '[229, 229, 3*w^2 - 3*w - 4]', '[233, 233, 3*w^2 - 17]', '[241, 241, w^2 - 4*w - 2]', '[241, 241, -w^2 + w - 4]', '[241, 241, 3*w^2 - w - 5]', '[251, 251, -4*w - 1]', '[257, 257, 3*w^2 - 2*w - 4]', '[257, 257, 2*w^2 + 3*w - 8]', '[263, 263, -2*w^2 - 4*w + 7]', '[269, 269, w - 7]', '[271, 271, 4*w^2 - 11]', '[277, 277, -w^2 + 2*w - 5]', '[281, 281, 2*w^2 - 4*w - 5]', '[311, 311, w^2 - 10]', '[313, 313, w^2 + 4*w - 8]', '[331, 331, -w^2 - w - 4]', '[337, 337, 5*w^2 - w - 25]', '[347, 347, 3*w^2 + 2*w - 13]', '[353, 353, 4*w^2 + w - 7]', '[359, 359, w^2 + w - 11]', '[361, 19, 2*w^2 + 3*w - 10]', '[367, 367, 2*w^2 + 3*w - 13]', '[383, 383, -2*w^2 - w - 2]', '[389, 389, 2*w^2 + 3*w - 11]', '[409, 409, w^2 - 4*w - 8]', '[419, 419, 3*w^2 - 4*w - 10]', '[419, 419, 6*w^2 - 4*w - 23]', '[419, 419, w - 8]', '[421, 421, 7*w^2 - 31]', '[431, 431, 2*w^2 - 4*w - 7]', '[439, 439, 5*w^2 + w - 13]', '[443, 443, -2*w^2 - 5*w + 8]', '[449, 449, 2*w^2 - 5*w - 4]', '[461, 461, 5*w^2 + w - 22]', '[463, 463, w^2 - 5*w - 2]', '[467, 467, 4*w^2 - 7]', '[487, 487, -5*w^2 + 3*w + 14]', '[499, 499, 5*w^2 - 14]', '[499, 499, 3*w^2 + 4*w - 10]', '[499, 499, 8*w^2 - 3*w - 29]', '[509, 509, w^2 - w - 11]', '[521, 521, 4*w^2 - w - 8]', '[541, 541, -w - 8]', '[547, 547, -5*w - 2]', '[557, 557, 4*w^2 - 4*w - 5]', '[569, 569, w^2 + 6*w - 1]', '[577, 577, 5*w^2 + 3*w - 16]', '[587, 587, 3*w^2 + 3*w - 13]', '[587, 587, 3*w^2 - 4*w - 14]', '[587, 587, 3*w^2 - 4*w - 13]', '[599, 599, 4*w^2 + 3*w - 14]', '[601, 601, 5*w^2 - w - 14]', '[607, 607, 4*w^2 - 3*w - 5]', '[617, 617, 5*w^2 - 13]', '[619, 619, 6*w^2 + w - 28]', '[631, 631, -5*w - 4]', '[631, 631, 6*w^2 - w - 19]', '[631, 631, 7*w^2 + 4*w - 20]', '[641, 641, 3*w^2 + w - 20]', '[643, 643, 3*w^2 + 3*w - 14]', '[643, 643, 4*w^2 - 23]', '[643, 643, 3*w^2 + 3*w - 17]', '[653, 653, 3*w - 11]', '[653, 653, 3*w^2 + 5*w - 10]', '[653, 653, 5*w^2 + 2*w - 19]', '[659, 659, 6*w^2 - 2*w - 19]', '[661, 661, w^2 - 5*w - 4]', '[677, 677, 3*w^2 + 3*w - 16]', '[691, 691, -w^2 + 3*w - 8]', '[733, 733, 5*w^2 - 2*w - 13]', '[739, 739, 4*w^2 + 4*w - 13]', '[739, 739, 5*w^2 - 4*w - 11]', '[739, 739, w^2 - 5*w - 5]', '[743, 743, 8*w^2 - 3*w - 28]', '[751, 751, -w^2 - 6*w - 1]', '[757, 757, 4*w^2 - 5*w - 13]', '[761, 761, 5*w^2 + 2*w - 20]', '[809, 809, -w^2 - 6*w + 14]', '[811, 811, 5*w^2 - 11]', '[821, 821, w^2 + 6*w - 11]', '[821, 821, 3*w^2 + 5*w - 11]', '[821, 821, 2*w^2 + 5*w - 11]', '[823, 823, -w^2 + w - 7]', '[823, 823, 3*w^2 - 5*w - 10]', '[823, 823, w^2 - 5*w - 7]', '[827, 827, 6*w^2 - 17]', '[853, 853, 5*w^2 - 7*w - 4]', '[857, 857, 3*w^2 - 6*w - 7]', '[859, 859, 3*w^2 + 4*w - 13]', '[859, 859, -3*w - 10]', '[859, 859, 6*w^2 - w - 31]', '[863, 863, 2*w^2 - 7*w - 2]', '[863, 863, 2*w^2 - 5*w - 13]', '[863, 863, w - 10]', '[877, 877, 6*w^2 + 3*w - 20]', '[881, 881, 9*w^2 - 40]', '[883, 883, 5*w^2 - 4*w - 10]', '[907, 907, 5*w^2 - 8]', '[907, 907, 5*w^2 - 3*w - 11]', '[907, 907, 2*w^2 - w - 16]', '[919, 919, 4*w^2 + 3*w - 22]', '[929, 929, 7*w^2 + w - 20]', '[929, 929, 6*w^2 - 3*w - 17]', '[929, 929, 4*w^2 + 3*w - 17]', '[937, 937, 2*w - 11]', '[941, 941, 6*w^2 + 2*w - 23]', '[947, 947, 4*w^2 + w - 25]', '[947, 947, 5*w^2 - 28]', '[947, 947, -w^2 - 7]', '[953, 953, w^2 - 13]', '[971, 971, 4*w^2 - 6*w - 11]', '[971, 971, 2*w^2 - 6*w - 5]', '[971, 971, 2*w^2 + 5*w - 16]', '[977, 977, 2*w^2 - 5*w - 10]', '[983, 983, 2*w^2 + 5*w - 13]', '[991, 991, -w^2 - 2*w - 7]', '[997, 997, 5*w^2 - w - 10]', '[997, 997, -3*w^2 - 6*w + 11]', '[997, 997, 9*w^2 + 3*w - 25]']}
6. label: 3.3.316.1
   {'degree': 3, 'discriminant': 316, 'ideals': ['[1, 1, 1]', '[2, 2, -w]', '[2, 2, w - 1]', '[4, 2, w^2 - 4]', '[4, 2, w^2 - w - 4]', '[4, 4, w + 1]', '[8, 2, 2]', '[8, 4, -w^2 + 2]', '[8, 4, -w^2 + w + 2]', '[8, 8, w^2 - 1]', '[11, 11, w^2 - w - 1]', '[16, 4, -2*w]', '[16, 4, -w^2 + 2*w + 2]', '[16, 4, 2*w - 2]', '[16, 8, w^2 - w - 6]', '[16, 16, 2*w^2 - w - 7]', '[17, 17, -w^2 - w + 3]', '[19, 19, w^2 - w + 1]', '[22, 22, w + 3]', '[22, 22, 2*w^2 - w - 10]', '[23, 23, 2*w - 3]', '[27, 3, 3]', '[29, 29, 2*w + 1]', '[31, 31, 2*w^2 - 2*w - 9]', '[32, 4, 2*w^2 - 8]', '[32, 4, 2*w^2 - 2*w - 8]', '[32, 8, -w^2 + 2*w - 2]', '[32, 8, 2*w + 2]', '[32, 16, -w^2 - w + 4]', '[32, 32, -w^2 + 2*w + 3]', '[34, 34, -w^2 - 1]', '[34, 34, -w + 4]', '[37, 37, 2*w^2 - 2*w - 5]', '[38, 38, -w^2 + 7]', '[38, 38, -2*w^2 + w + 6]', '[41, 41, 2*w^2 - 9]', '[43, 43, w^2 + w - 5]', '[43, 43, -3*w^2 + w + 15]', '[43, 43, -2*w^2 + 2*w + 11]', '[44, 22, -w^2 + 2*w + 4]', '[44, 22, -w^2 - w + 6]', '[44, 44, w^2 + 2*w - 3]', '[46, 46, -2*w^2 - w + 6]', '[46, 46, -w^2 + 2*w + 5]', '[53, 53, w^2 - w - 7]', '[54, 6, -3*w]', '[54, 6, 3*w - 3]', '[58, 58, 2*w^2 - w - 1]', '[58, 58, -2*w^2 + 3*w + 2]', '[61, 61, 4*w^2 - 2*w - 15]', '[62, 62, w + 4]', '[62, 62, -2*w^2 + w + 5]', '[64, 4, 4]', '[64, 8, 3*w^2 - 2*w - 10]', '[64, 8, -2*w^2 + 4]', '[64, 8, -2*w^2 + 2*w + 4]', '[64, 16, 2*w^2 - 2]', '[64, 32, -w^2 + w - 2]', '[64, 64, 2*w^2 - 3*w - 1]', '[67, 67, -5*w^2 + 3*w + 23]', '[68, 34, 3*w^2 - w - 10]', '[68, 34, w^2 - 4*w]', '[68, 68, 2*w^2 - w - 11]', '[73, 73, 2*w^2 - 3]', '[73, 73, -3*w^2 - w + 7]', '[73, 73, -6*w^2 + 4*w + 25]', '[74, 74, -3*w^2 + 2*w + 15]', '[74, 74, -3*w + 4]', '[76, 38, w^2 - 3*w - 2]', '[76, 38, w^2 + 2*w - 4]', '[76, 76, 3*w - 5]', '[79, 79, w^2 - 5*w + 1]', '[79, 79, 3*w^2 - 3*w - 11]', '[82, 82, -2*w^2 + w + 4]', '[82, 82, -w + 5]', '[83, 83, 2*w^2 - 2*w - 3]', '[86, 86, -2*w^2 + w + 2]', '[86, 86, w^2 + 2*w - 9]', '[86, 86, -3*w - 4]', '[86, 86, w^2 - 2*w + 3]', '[86, 86, 2*w^2 - 3*w - 6]', '[86, 86, 2*w^2 + w - 7]', '[88, 22, 2*w^2 - 2*w - 2]', '[88, 44, -w^2 + 3*w - 4]', '[88, 44, -w^2 - 2]', '[88, 88, 4*w^2 - w - 17]', '[92, 46, -w^2 - w - 2]', '[92, 46, -w^2 + 8]', '[92, 92, 2*w^2 - w - 3]', '[106, 106, 3*w + 2]', '[106, 106, -w^2 - 2*w + 5]', '[108, 6, 3*w^2 - 12]', '[108, 6, 3*w^2 - 3*w - 12]', '[108, 12, 3*w + 3]', '[109, 109, w^2 - 3*w - 3]', '[113, 113, 3*w^2 - 3*w - 13]', '[116, 58, w^2 - w - 8]', '[116, 58, 3*w^2 - 8]', '[116, 116, 3*w^2 - 2*w - 9]', '[121, 11, 3*w^2 - w - 9]', '[121, 121, -w^2 + 3*w + 7]', '[122, 122, -2*w^2 + 3*w + 7]', '[122, 122, -2*w^2 - w + 8]', '[124, 62, -w^2 - 2*w + 8]', '[124, 62, w^2 + 3*w - 4]', '[124, 124, w^2 - 4*w - 1]', '[125, 5, -5]', '[128, 8, -4*w]', '[128, 8, -2*w^2 + 4*w + 4]', '[128, 8, 4*w - 4]', '[128, 16, -w^2 - 2*w + 6]', '[128, 16, 2*w^2 - 2*w - 12]', '[128, 32, 4*w^2 - 2*w - 14]', '[128, 64, -3*w^2 - w + 6]', '[128, 128, w + 5]', '[131, 131, -6*w^2 + 2*w + 25]', '[134, 134, 2*w^2 - 3*w - 10]', '[134, 134, 3*w^2 - 13]', '[136, 34, -2*w^2 - 2*w + 6]', '[136, 68, -w^2 + 3*w + 4]', '[136, 68, 3*w^2 - 14]', '[136, 136, -w^2 - 2*w + 7]', '[137, 137, -w^2 + w - 3]', '[146, 146, 5*w - 1]', '[146, 146, 4*w^2 + 5*w - 6]', '[146, 146, 2*w^2 - w - 12]', '[146, 146, -2*w^2 - 5*w + 4]', '[146, 146, -w^2 - 4*w - 1]', '[146, 146, 4*w^2 - 3*w - 13]', '[148, 74, w^2 - 3*w - 6]', '[148, 74, -5*w^2 + 4*w + 20]', '[148, 148, 2*w^2 + w - 9]', '[149, 149, 2*w - 7]', '[151, 151, w^2 - 3*w - 5]', '[152, 38, 2*w^2 - 2*w + 2]', '[152, 76, -3*w^2 - w + 10]', '[152, 76, -w^2 + 4*w - 6]', '[152, 152, -2*w^2 + 3*w + 9]', '[157, 157, 3*w^2 - 3*w - 7]', '[158, 158, 2*w^2 + w - 10]', '[158, 158, -3*w^2 + 4*w + 5]', '[158, 158, -2*w^2 - 3*w + 5]', '[158, 158, -w + 6]', '[163, 163, 2*w^2 - 13]', '[164, 82, -7*w^2 + 4*w + 32]', '[164, 82, -9*w^2 + 5*w + 36]', '[164, 164, 4*w^2 - w - 13]', '[166, 166, -2*w^2 + 7*w - 1]', '[166, 166, -5*w + 4]', '[167, 167, -4*w + 5]', '[172, 86, -3*w^2 + 2*w + 16]', '[172, 86, -5*w^2 + 3*w + 18]', '[172, 86, -3*w^2 + 5*w + 2]', '[172, 86, w^2 - 2*w + 4]', '[172, 86, 3*w^2 - 2*w - 8]', '[172, 86, -3*w^2 - w + 4]', '[172, 172, -5*w^2 + 4*w + 21]', '[172, 172, 3*w^2 - 7]', '[172, 172, w^2 + 3]', '[173, 173, -7*w^2 + 3*w + 27]', '[176, 44, 2*w + 6]', '[176, 44, 5*w^2 - 2*w - 18]', '[176, 44, 4*w^2 - 2*w - 20]', '[176, 88, -3*w^2 + w + 8]', '[176, 176, -w^2 + 9]', '[179, 179, 4*w^2 - 4*w - 11]', '[181, 181, 4*w^2 - 15]', '[181, 181, w^2 - 3*w + 5]', '[181, 181, w^2 + 3*w - 5]', '[184, 46, 4*w - 6]', '[184, 92, w^2 - 4*w - 2]', '[184, 92, 3*w^2 - 7*w - 2]', '[184, 184, 3*w + 7]', '[187, 187, -4*w - 1]', '[193, 193, 2*w^2 - 4*w - 5]', '[197, 197, 2*w^2 + 2*w - 7]', '[209, 209, 3*w^2 + 3*w - 7]', '[211, 211, 4*w^2 - 2*w - 13]', '[211, 211, -7*w^2 + 5*w + 29]', '[211, 211, w^2 - w - 9]', '[212, 106, -7*w^2 + 5*w + 30]', '[212, 106, -7*w^2 + 2*w + 28]', '[212, 212, w^2 - 4*w - 9]', '[216, 6, 6]', '[216, 12, -3*w^2 + 6]', '[216, 12, -3*w^2 + 3*w + 6]', '[216, 24, 3*w^2 - 3]', '[218, 218, -3*w^2 + 4*w + 1]', '[218, 218, 2*w^2 - w + 2]', '[223, 223, 5*w^2 - w - 23]', '[226, 226, w + 6]', '[226, 226, -3*w^2 + 2*w + 7]', '[227, 227, -3*w^2 + 3*w + 17]', '[227, 227, 3*w^2 - w - 7]', '[227, 227, 3*w^2 + w - 11]', '[229, 229, 5*w^2 - w - 21]', '[232, 58, 4*w + 2]', '[232, 116, -w^2 - 3*w + 6]', '[232, 116, 3*w^2 - 4*w - 10]', '[232, 232, -2*w^2 + 5*w + 3]', '[233, 233, 3*w^2 - 5*w - 7]', '[239, 239, -w^2 + 7*w - 5]', '[242, 22, -2*w^2 - 3*w + 6]', '[242, 22, -w^2 + 4*w + 3]', '[242, 242, 3*w^2 - 5]', '[242, 242, -4*w^2 + 3*w + 12]', '[244, 122, -w^2 + w - 4]', '[244, 122, -w^2 - 2*w + 12]', '[244, 244, 3*w^2 - 4*w - 3]', '[248, 62, 4*w^2 - 4*w - 18]', '[248, 124, 3*w^2 - 4*w - 2]', '[248, 124, 5*w^2 - w - 22]', '[248, 248, -3*w^2 - 2*w + 9]', '[250, 10, 5*w]', '[250, 10, -5*w + 5]', '[253, 253, -2*w^2 + 2*w + 13]', '[256, 8, 4*w^2 - 16]', '[256, 8, 4*w^2 - 4*w - 16]', '[256, 16, -2*w^2 + 4*w - 4]', '[256, 16, 3*w^2 - 2*w - 2]', '[256, 16, 4*w + 4]', '[256, 32, -2*w^2 - 2*w + 8]', '[256, 64, -2*w^2 + 4*w + 6]', '[256, 128, -w^2 - 3*w + 10]', '[256, 256, w^2 + 4*w - 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7*w - 17]', '[1966, 1966, 3*w^2 - 4*w + 7]', '[1966, 1966, -4*w^2 - 7*w + 11]', '[1966, 1966, 6*w^2 + 3*w - 20]', '[1969, 1969, w^2 - 9*w + 19]', '[1971, 219, 6*w^2 - 9]', '[1971, 219, -9*w^2 - 3*w + 21]', '[1971, 219, -18*w^2 + 12*w + 75]', '[1972, 986, 7*w^2 + 3*w - 22]', '[1972, 986, -5*w^2 + 4*w - 4]', '[1972, 1972, 4*w^2 - 7*w - 19]', '[1973, 1973, -8*w^2 + 4*w + 41]', '[1978, 1978, 8*w^2 - 3*w - 25]', '[1978, 1978, 3*w^2 - 16*w + 23]', '[1978, 1978, -6*w^2 + w + 12]', '[1978, 1978, 2*w^2 - 5*w - 20]', '[1978, 1978, -8*w^2 + 13*w + 10]', '[1978, 1978, -w + 13]', '[1979, 1979, -8*w - 5]', '[1984, 124, 8*w^2 - 8*w - 36]', '[1984, 248, 6*w^2 - 8*w - 4]', '[1984, 248, -3*w^2 + 2*w - 6]', '[1984, 248, 10*w^2 - 2*w - 44]', '[1984, 496, -6*w^2 - 4*w + 18]', '[1984, 992, -3*w^2 + 7*w + 14]', '[1984, 1984, -4*w^2 - 3*w + 21]', '[1991, 1991, -2*w^2 + 12*w - 1]', '[1991, 1991, -3*w^2 + 7*w + 15]', '[1991, 1991, 7*w^2 + w - 27]', '[1993, 1993, -19*w^2 + 11*w + 75]', '[1993, 1993, -9*w^2 + w + 37]', '[1993, 1993, 6*w^2 - 2*w - 13]', '[1994, 1994, 4*w^2 - 7*w - 18]', '[1994, 1994, 2*w^2 + 7*w + 10]', '[1994, 1994, -7*w^2 + 4*w + 37]', '[1994, 1994, 5*w^2 + 2*w - 25]', '[1994, 1994, -7*w^2 + 17]', '[1994, 1994, 2*w^2 - 13*w + 12]', '[1996, 998, -5*w^2 - 2*w + 24]', '[1996, 998, 5*w^2 + 7*w - 12]', '[1996, 1996, w^2 - 8*w - 5]', '[1998, 222, -9*w^2 + 6*w + 45]', '[1998, 222, -9*w + 12]', '[1999, 1999, 7*w^2 - 5*w - 19]', '[1999, 1999, 6*w^2 - 8*w - 5]', '[1999, 1999, 12*w^2 - 8*w - 43]', '[2000, 20, 10*w]', '[2000, 20, 5*w^2 - 10*w - 10]', '[2000, 20, -10*w + 10]', '[2000, 40, -5*w^2 + 5*w + 30]', '[2000, 80, -10*w^2 + 5*w + 35]', '[2003, 2003, 6*w^2 - 4*w - 13]', '[2003, 2003, -11*w^2 + 9*w + 45]', '[2003, 2003, 3*w^2 + 11*w - 9]', '[2011, 2011, 2*w^2 + 10*w - 9]', '[2014, 2014, 10*w^2 - 5*w - 49]', '[2014, 2014, 12*w^2 - 5*w - 44]', '[2018, 2018, 6*w^2 - 5*w - 12]', '[2018, 2018, 5*w - 17]', '[2024, 506, -4*w^2 + 4*w + 26]', '[2024, 1012, w^2 - 12*w + 10]', '[2024, 1012, -9*w^2 + 5*w + 30]', '[2024, 2024, 7*w^2 + 2*w - 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2*w - 9]', '[9922, 902, -12*w^2 + 37*w - 8]', '[9922, 902, -13*w^2 + 8*w + 39]', '[9922, 9922, 26*w^2 - 19*w - 104]', '[9922, 9922, -7*w^2 + 12*w + 33]', '[9928, 2482, 8*w^2 + 24*w + 14]', '[9928, 2482, -6*w^2 - 18*w - 2]', '[9928, 2482, -30*w^2 + 14*w + 118]', '[9928, 4964, 15*w^2 - 16*w - 74]', '[9928, 4964, -7*w^2 + 12*w + 30]', '[9928, 4964, -7*w^2 + 16*w + 14]', '[9928, 4964, -15*w^2 - 9*w + 38]', '[9928, 4964, 7*w^2 + 11*w - 20]', '[9928, 4964, -29*w^2 + 15*w + 132]', '[9928, 9928, 3*w^2 - 14*w - 9]', '[9928, 9928, 6*w^2 - 9*w - 43]', '[9928, 9928, -4*w^2 + 13*w + 29]', '[9929, 9929, -15*w^2 + 3*w + 47]', '[9936, 276, -12*w^2 - 6*w + 36]', '[9936, 276, 21*w^2 - 6*w - 90]', '[9936, 276, -6*w^2 + 12*w + 30]', '[9936, 552, -9*w^2 - 3*w + 42]', '[9936, 1104, 9*w^2 + 12*w - 21]', '[9937, 9937, 9*w^2 - 27*w + 1]', '[9938, 9938, 4*w^2 - 11*w + 18]', '[9938, 9938, -13*w^2 + 24*w + 7]', '[9941, 9941, 10*w^2 - 12*w - 11]', '[9943, 9943, 9*w^2 - 11*w - 55]', '[9944, 2486, -8*w^2 - 4*w + 38]', '[9944, 4972, -5*w^2 + 12*w + 26]', '[9944, 4972, 9*w^2 + 13*w - 20]', '[9944, 9944, w^2 - 14*w - 7]', '[9946, 9946, -4*w^2 + 19*w + 1]', '[9946, 9946, -4*w^2 - 15*w + 16]', '[9947, 203, -14*w - 7]', '[9949, 9949, w^2 - 13*w - 13]', '[9952, 1244, -18*w^2 + 4*w + 80]', '[9952, 1244, -22*w^2 + 18*w + 84]', '[9952, 1244, -14*w^2 + 6*w + 72]', '[9952, 1244, -18*w^2 + 8*w + 64]', '[9952, 1244, 2*w^2 - 24*w + 16]', '[9952, 1244, -10*w^2 + 34*w - 8]', '[9952, 2488, 7*w^2 - 22*w + 22]', '[9952, 2488, -5*w^2 + 26*w - 26]', '[9952, 2488, -12*w^2 + 6*w + 34]', '[9952, 2488, -6*w - 22]', '[9952, 2488, -7*w^2 + 22*w + 2]', '[9952, 2488, 6*w^2 - 12*w - 26]', '[9952, 4976, 7*w^2 + 5*w - 38]', '[9952, 4976, -5*w^2 - w + 40]', '[9952, 4976, 11*w^2 - 5*w - 28]', '[9952, 9952, -4*w^2 - 3*w - 11]', '[9952, 9952, 12*w^2 - 17*w - 33]', '[9952, 9952, 3*w^2 + 2*w - 33]', '[9956, 4978, 21*w^2 - 11*w - 78]', '[9956, 4978, 13*w^2 - 10*w - 68]', '[9956, 9956, 18*w^2 - 7*w - 89]', '[9962, 9962, 10*w^2 - 11*w - 14]', '[9962, 9962, -12*w^2 - w + 9]', '[9967, 9967, -7*w^2 + 7*w + 45]', '[9974, 9974, 7*w - 27]', '[9974, 9974, 10*w^2 - 7*w - 20]', '[9976, 2494, -4*w^2 + 16*w + 38]', '[9976, 2494, 10*w^2 - 2*w - 18]', '[9976, 2494, -14*w^2 + 14*w + 54]', '[9976, 4988, -15*w^2 - w + 54]', '[9976, 4988, -15*w^2 + 12*w + 46]', '[9976, 4988, -13*w^2 - w + 68]', '[9976, 4988, -11*w^2 + 10]', '[9976, 4988, -w^2 + 3*w - 20]', '[9976, 4988, -13*w^2 + 54]', '[9976, 9976, -12*w^2 + 13*w + 53]', '[9976, 9976, 6*w^2 + 7*w - 27]', '[9976, 9976, 11*w^2 - 14*w - 17]', '[9977, 9977, -13*w^2 - 5*w + 25]', '[9983, 9983, -31*w^2 + 15*w + 141]', '[9988, 4994, 15*w^2 - 4*w - 48]', '[9988, 4994, 9*w^2 - 5*w - 52]', '[9988, 4994, -23*w^2 + 7*w + 96]', '[9988, 4994, -17*w^2 + 16*w + 80]', '[9988, 4994, 9*w^2 - 13*w - 32]', '[9988, 4994, 9*w^2 + 4*w - 36]', '[9988, 9988, 4*w^2 + 9*w + 13]', '[9988, 9988, 14*w^2 + 7*w - 39]', '[9988, 9988, 2*w^2 + 15*w + 5]', '[9994, 9994, 14*w^2 - 15*w - 35]', '[9994, 9994, 4*w^2 + w - 36]', '[9998, 9998, 20*w^2 + 11*w - 12]', '[9998, 9998, -14*w^2 + 3*w - 1]'], 'label': '3.3.316.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w]', '[2, 2, w - 1]', '[11, 11, w^2 - w - 1]', '[17, 17, -w^2 - w + 3]', '[19, 19, w^2 - w + 1]', '[23, 23, 2*w - 3]', '[27, 3, 3]', '[29, 29, 2*w + 1]', '[31, 31, 2*w^2 - 2*w - 9]', '[37, 37, 2*w^2 - 2*w - 5]', '[41, 41, 2*w^2 - 9]', '[43, 43, w^2 + w - 5]', '[43, 43, -3*w^2 + w + 15]', '[43, 43, -2*w^2 + 2*w + 11]', '[53, 53, w^2 - w - 7]', '[61, 61, 4*w^2 - 2*w - 15]', '[67, 67, -5*w^2 + 3*w + 23]', '[73, 73, 2*w^2 - 3]', '[73, 73, -3*w^2 - w + 7]', '[73, 73, -6*w^2 + 4*w + 25]', '[79, 79, w^2 - 5*w + 1]', '[79, 79, 3*w^2 - 3*w - 11]', '[83, 83, 2*w^2 - 2*w - 3]', '[109, 109, w^2 - 3*w - 3]', '[113, 113, 3*w^2 - 3*w - 13]', '[121, 11, 3*w^2 - w - 9]', '[125, 5, -5]', '[131, 131, -6*w^2 + 2*w + 25]', '[137, 137, -w^2 + w - 3]', '[149, 149, 2*w - 7]', '[151, 151, w^2 - 3*w - 5]', '[157, 157, 3*w^2 - 3*w - 7]', '[163, 163, 2*w^2 - 13]', '[167, 167, -4*w + 5]', '[173, 173, -7*w^2 + 3*w + 27]', '[179, 179, 4*w^2 - 4*w - 11]', '[181, 181, 4*w^2 - 15]', '[181, 181, w^2 - 3*w + 5]', '[181, 181, w^2 + 3*w - 5]', '[193, 193, 2*w^2 - 4*w - 5]', '[197, 197, 2*w^2 + 2*w - 7]', '[211, 211, 4*w^2 - 2*w - 13]', '[211, 211, -7*w^2 + 5*w + 29]', '[211, 211, w^2 - w - 9]', '[223, 223, 5*w^2 - w - 23]', '[227, 227, -3*w^2 + 3*w + 17]', '[227, 227, 3*w^2 - w - 7]', '[227, 227, 3*w^2 + w - 11]', '[229, 229, 5*w^2 - w - 21]', '[233, 233, 3*w^2 - 5*w - 7]', '[239, 239, -w^2 + 7*w - 5]', '[257, 257, -4*w - 3]', '[257, 257, w^2 - 5*w - 1]', '[257, 257, -3*w^2 + w + 17]', '[263, 263, 3*w^2 - 3*w - 5]', '[271, 271, 4*w^2 - 4*w - 17]', '[271, 271, 3*w^2 - w - 3]', '[271, 271, w^2 + 3*w - 7]', '[283, 283, 6*w - 1]', '[289, 17, w^2 + 3*w - 9]', '[293, 293, 3*w^2 - w - 5]', '[307, 307, 2*w^2 + 2*w - 9]', '[307, 307, -2*w^2 + 2*w - 3]', '[307, 307, 4*w^2 - 17]', '[311, 311, w^2 + w - 11]', '[311, 311, 2*w^2 - 4*w - 7]', '[311, 311, -2*w^2 - 2*w + 13]', '[313, 313, -2*w - 7]', '[313, 313, 4*w^2 - 19]', '[313, 313, -5*w^2 - w + 13]', '[331, 331, 2*w^2 - 4*w - 11]', '[331, 331, 6*w^2 - 4*w - 21]', '[331, 331, -4*w^2 + 2*w + 21]', '[343, 7, -7]', '[347, 347, -2*w^2 + 8*w - 1]', '[349, 349, w^2 - 7*w + 1]', '[353, 353, -6*w^2 + 2*w + 21]', '[361, 19, -5*w^2 + 3*w + 25]', '[367, 367, 3*w^2 + w - 15]', '[373, 373, 2*w^2 - 4*w - 9]', '[383, 383, -9*w^2 + 3*w + 37]', '[401, 401, 4*w^2 - 2*w - 11]', '[409, 409, 4*w^2 - 4*w - 9]', '[431, 431, -5*w^2 + 5*w + 19]', '[439, 439, 2*w - 9]', '[443, 443, w^2 - 5*w - 3]', '[443, 443, 5*w^2 - 5*w - 23]', '[443, 443, 3*w^2 - 5*w - 17]', '[449, 449, -4*w^2 + 4*w + 1]', '[461, 461, 5*w^2 - 7*w - 9]', '[467, 467, 5*w^2 + w - 17]', '[479, 479, 2*w^2 + 4*w - 7]', '[487, 487, 5*w^2 - 5*w - 13]', '[499, 499, -w^2 + 3*w - 7]', '[509, 509, -7*w^2 + w + 27]', '[521, 521, w^2 - w - 11]', '[523, 523, 4*w^2 - 6*w - 11]', '[529, 23, 4*w^2 + 2*w - 13]', '[547, 547, -11*w^2 + 5*w + 43]', '[563, 563, 4*w^2 - 7]', '[569, 569, -6*w - 1]', '[569, 569, 4*w^2 - 5]', '[569, 569, w^2 - 5*w - 9]', '[571, 571, 5*w^2 - 3*w - 15]', '[577, 577, w^2 + 5*w - 7]', '[599, 599, 4*w^2 - 4*w - 7]', '[601, 601, -12*w^2 + 8*w + 51]', '[613, 613, 4*w^2 + 1]', '[643, 643, 6*w^2 - 2*w - 31]', '[647, 647, 2*w^2 - 2*w - 15]', '[647, 647, 4*w^2 - 4*w - 23]', '[647, 647, w^2 - 5*w - 7]', '[661, 661, -8*w^2 + 6*w + 39]', '[673, 673, 3*w^2 - 5*w - 15]', '[683, 683, -w^2 + 9*w - 7]', '[701, 701, 4*w^2 - 4*w - 5]', '[709, 709, 4*w^2 - 2*w - 7]', '[719, 719, 3*w^2 - 5*w - 13]', '[727, 727, w^2 - 7*w - 1]', '[733, 733, 2*w^2 + 4*w - 9]', '[733, 733, 3*w^2 + 3*w - 11]', '[733, 733, w^2 + w - 13]', '[743, 743, 2*w^2 - 6*w - 5]', '[751, 751, 6*w^2 - 2*w - 19]', '[761, 761, -12*w^2 + 6*w + 47]', '[761, 761, 3*w^2 - 5*w - 21]', '[761, 761, 2*w^2 + 6*w - 7]', '[769, 769, -6*w^2 + 6*w + 23]', '[773, 773, -2*w^2 + 2*w - 5]', '[773, 773, -13*w^2 + 5*w + 57]', '[773, 773, -11*w^2 + 7*w + 51]', '[787, 787, 5*w^2 - w - 13]', '[797, 797, -2*w^2 + 8*w - 11]', '[811, 811, -5*w^2 + 5*w + 1]', '[821, 821, -7*w^2 + 3*w + 35]', '[821, 821, -4*w^2 + 2*w + 23]', '[821, 821, 5*w^2 + w - 19]', '[823, 823, w^2 + 5*w - 13]', '[823, 823, -12*w^2 + 4*w + 49]', '[823, 823, -7*w^2 + w + 29]', '[829, 829, -w^2 + w - 7]', '[839, 839, 4*w^2 + 2*w - 15]', '[841, 29, 4*w^2 - 6*w - 13]', '[853, 853, 7*w^2 - 7*w - 25]', '[863, 863, 7*w^2 - 5*w - 35]', '[877, 877, -6*w - 5]', '[877, 877, w^2 + 5*w - 11]', '[877, 877, 5*w^2 - 3*w - 13]', '[881, 881, w^2 - 3*w - 13]', '[887, 887, -9*w^2 + 5*w + 33]', '[907, 907, w^2 - 9*w + 1]', '[911, 911, -6*w^2 + 6*w + 25]', '[919, 919, 5*w^2 - 3*w - 27]', '[929, 929, 2*w - 11]', '[937, 937, -7*w^2 + w + 31]', '[941, 941, -6*w^2 + 4*w + 31]', '[941, 941, -8*w^2 + 2*w + 27]', '[941, 941, 3*w^2 + 5*w - 9]', '[947, 947, -10*w + 7]', '[947, 947, 2*w^2 + 8*w - 7]', '[947, 947, 2*w^2 + 4*w - 11]', '[961, 31, -14*w^2 + 8*w + 55]', '[967, 967, -w^2 - w - 7]', '[971, 971, -10*w^2 + 8*w + 39]', '[977, 977, -10*w^2 + 6*w + 37]', '[983, 983, 3*w^2 + 3*w - 13]', '[983, 983, -4*w - 11]', '[983, 983, -10*w^2 + 4*w + 37]', '[997, 997, w^2 + 9*w - 7]', '[997, 997, 5*w^2 - 7*w - 27]', '[997, 997, 6*w^2 - 8*w - 11]']}
7. label: 3.3.321.1
   {'degree': 3, 'discriminant': 321, 'ideals': ['[1, 1, 1]', '[3, 3, w + 1]', '[3, 3, w - 1]', '[7, 7, w^2 - 2]', '[8, 2, 2]', '[9, 3, -w^2 + 2*w + 2]', '[9, 3, w^2 - 4]', '[9, 9, w^2 - w - 2]', '[11, 11, -w^2 + w + 1]', '[21, 21, -w^2 + 2*w + 3]', '[21, 21, 2*w + 1]', '[23, 23, -w - 3]', '[24, 6, 2*w + 2]', '[24, 6, 2*w - 2]', '[27, 3, 3]', '[27, 9, -w^2 + 3*w + 1]', '[27, 9, -w^2 + 2*w + 5]', '[27, 27, w^2 + w - 3]', '[29, 29, -w^2 + 2*w + 4]', '[31, 31, 2*w - 3]', '[33, 33, -2*w^2 + w + 6]', '[33, 33, w - 4]', '[41, 41, -2*w^2 + 3*w + 6]', '[43, 43, w^2 - 3*w + 3]', '[47, 47, w^2 + w - 4]', '[49, 7, 2*w^2 - 3*w - 3]', '[49, 49, 2*w^2 - 2*w - 5]', '[53, 53, w^2 - 3*w - 2]', '[56, 14, 2*w^2 - 4]', '[59, 59, 2*w^2 - w - 5]', '[59, 59, w^2 - w - 7]', '[59, 59, -w^2 - w + 7]', '[63, 21, 2*w^2 - 3*w - 2]', '[63, 21, w^2 + w - 5]', '[63, 63, w + 4]', '[64, 4, 4]', '[67, 67, 2*w^2 - 3*w - 7]', '[69, 69, -w^2 - 2*w + 3]', '[69, 69, -w^2 - w + 6]', '[72, 6, -2*w^2 + 4*w + 4]', '[72, 6, 2*w^2 - 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18]', '[9647, 9647, -7*w^2 + 14*w + 34]', '[9651, 9651, 10*w^2 - 5*w - 21]', '[9651, 9651, 6*w^2 - 17*w + 17]', '[9653, 1379, 9*w^2 - 17*w - 24]', '[9653, 9653, -10*w^2 + 15*w + 38]', '[9661, 9661, 11*w^2 - 12*w - 24]', '[9663, 9663, 2*w^2 - 2*w - 27]', '[9663, 9663, 7*w^2 - 19*w - 11]', '[9667, 9667, 3*w^2 + 9*w + 16]', '[9669, 9669, -11*w^2 + 23*w + 18]', '[9669, 9669, 9*w^2 + w - 38]', '[9677, 9677, -13*w^2 + 44]', '[9679, 9679, w^2 - 15*w - 9]', '[9679, 9679, 17*w - 12]', '[9679, 9679, 5*w^2 + 6*w - 25]', '[9681, 9681, w^2 - 16*w - 24]', '[9681, 9681, 14*w^2 - 17*w - 61]', '[9691, 9691, -12*w^2 + w + 45]', '[9697, 9697, w^2 + w - 25]', '[9701, 9701, 3*w^2 - 4*w - 30]', '[9704, 2426, 10*w^2 - 18*w - 26]', '[9704, 2426, -2*w^2 - 4*w - 16]', '[9704, 2426, 4*w^2 - 14*w - 16]', '[9717, 9717, 11*w^2 - 38*w + 18]', '[9717, 9717, -14*w + 17]', '[9717, 9717, -20*w^2 - 20*w + 27]', '[9717, 9717, 5*w^2 - 16*w - 12]', '[9717, 9717, 2*w^2 - 14*w - 19]', '[9717, 9717, -2*w^2 - 16*w - 9]', '[9719, 9719, 6*w^2 - 20*w + 21]', '[9721, 9721, 13*w^2 - 3*w - 35]', '[9723, 9723, 11*w^2 - 13*w - 60]', '[9723, 9723, -3*w^2 + 2*w - 14]', '[9723, 9723, -3*w^2 - 16*w - 23]', '[9723, 9723, -12*w^2 + w + 28]', '[9723, 9723, -18*w^2 - 17*w + 17]', '[9723, 9723, 2*w^2 + 5*w - 33]', '[9729, 3243, -w^2 - 12*w + 19]', '[9729, 3243, -11*w^2 + 7*w + 28]', '[9729, 9729, 3*w^2 - 14*w - 23]', '[9733, 9733, 7*w^2 + 3*w - 39]', '[9736, 2434, -14*w^2 + 46]', '[9739, 9739, 5*w^2 - 2*w - 38]', '[9743, 9743, 11*w^2 - w - 23]', '[9743, 9743, 15*w^2 - 20*w - 48]', '[9743, 9743, 2*w^2 + 15*w - 12]', '[9749, 9749, -12*w^2 + 21*w + 5]', '[9752, 2438, -2*w^2 + 14*w + 14]', '[9753, 9753, -4*w^2 - 11*w + 15]', '[9753, 9753, -4*w^2 - 19*w - 15]', '[9759, 9759, 2*w^2 - 13*w - 33]', '[9759, 9759, -10*w^2 + 7*w + 21]', '[9761, 9761, -4*w^2 + 11*w - 17]', '[9767, 9767, w^2 + 6*w - 30]', '[9769, 9769, -14*w^2 + 3*w + 39]', '[9771, 9771, -9*w^2 + 31*w - 1]', '[9771, 9771, 5*w^2 + 13*w - 13]', '[9779, 9779, -3*w + 23]', '[9783, 3261, 13*w^2 - 29*w - 14]', '[9783, 3261, -7*w^2 - 3*w + 34]', '[9783, 9783, -11*w^2 + 16*w + 15]', '[9784, 2446, 10*w^2 - 12*w - 8]', '[9784, 2446, 10*w^2 - 12*w - 56]', '[9784, 2446, 10*w^2 - 12*w - 14]', '[9787, 9787, 13*w^2 - 6*w - 38]', '[9793, 9793, 5*w^2 + 11*w + 13]', '[9797, 9797, 10*w^2 - 6*w - 21]', '[9799, 9799, -2*w - 21]', '[9801, 99, -5*w^2 + 7*w + 37]', '[9801, 99, 12*w^2 + 3*w - 36]', '[9801, 99, -6*w^2 + 15*w + 18]', '[9801, 297, 19*w^2 - 9*w - 79]', '[9801, 891, 14*w^2 - 13*w - 42]', '[9801, 1089, 3*w + 21]', '[9801, 1089, 4*w^2 + 7*w - 26]', '[9801, 1089, 12*w^2 - 21*w - 9]', '[9801, 3267, -5*w^2 + 18*w + 8]', '[9801, 9801, 9*w^2 + 8*w - 22]', '[9807, 9807, -4*w^2 - 5*w - 12]', '[9807, 9807, 3*w^2 - w - 31]', '[9811, 9811, 14*w^2 - 20*w - 29]', '[9816, 2454, 10*w^2 - 4*w - 20]', '[9816, 2454, 6*w^2 - 16*w + 16]', '[9817, 9817, 11*w^2 - 14*w - 20]', '[9827, 9827, 5*w^2 - 24*w + 17]', '[9827, 9827, -5*w^2 - 9*w + 48]', '[9827, 9827, -4*w^2 - 13*w + 13]', '[9832, 2458, 4*w^2 - 16*w - 10]', '[9833, 9833, 5*w^2 + 6*w - 36]', '[9833, 9833, w^2 - 7*w - 25]', '[9833, 9833, 14*w^2 - 12*w - 43]', '[9837, 3279, -5*w^2 + 9*w + 38]', '[9837, 3279, 11*w^2 - 13*w - 22]', '[9837, 3279, 8*w^2 - 4*w - 49]', '[9837, 3279, -22*w^2 + 12*w + 79]', '[9837, 3279, -14*w^2 + 46*w - 23]', '[9837, 3279, -8*w^2 + 18*w + 17]', '[9837, 9837, -5*w^2 + 14*w + 19]', '[9837, 9837, 9*w^2 - 25*w + 17]', '[9837, 9837, -11*w^2 + w + 45]', '[9839, 9839, w^2 + 13*w - 31]', '[9847, 9847, 6*w^2 - 16*w - 15]', '[9848, 2462, 2*w^2 - 28]', '[9849, 1407, -10*w^2 + w + 15]', '[9849, 1407, -w^2 - 16*w + 12]', '[9849, 9849, w^2 + 8*w - 33]', '[9849, 9849, -15*w^2 + 10*w + 49]', '[9857, 9857, 17*w^2 - 6*w - 66]', '[9859, 9859, -6*w^2 + 4*w - 9]', '[9864, 822, -16*w^2 + 18*w + 64]', '[9864, 822, 4*w^2 + 10*w - 44]', '[9864, 2466, -4*w^2 - 2*w + 38]', '[9871, 9871, 9*w^2 - 21*w - 14]', '[9871, 9871, 11*w^2 - 61]', '[9871, 9871, -4*w^2 + 7*w - 14]', '[9873, 3291, -7*w^2 + 15*w + 22]', '[9873, 3291, -7*w^2 + 29*w - 22]', '[9873, 9873, 5*w^2 - 14*w + 17]', '[9875, 395, 5*w^2 - 40]', '[9875, 395, -15*w - 10]', '[9875, 395, 5*w^2 - 15*w - 15]', '[9889, 9889, -5*w^2 + 13*w - 16]', '[9891, 3297, -13*w^2 + 24*w + 10]', '[9891, 3297, -4*w^2 - 7*w + 29]', '[9891, 9891, w^2 - 2*w - 24]', '[9896, 2474, 4*w^2 + 12*w - 14]', '[9897, 9897, 6*w^2 - 7*w + 10]', '[9897, 9897, 12*w^2 + 5*w - 16]', '[9903, 9903, -5*w^2 + 17*w + 10]', '[9903, 9903, -w^2 + 4*w + 24]', '[9907, 9907, 4*w^2 - 9*w - 35]', '[9909, 1101, -12*w^2 - 3*w + 21]', '[9909, 3303, -16*w^2 - 7*w + 38]', '[9909, 3303, -5*w^2 - 12*w + 14]', '[9909, 9909, -7*w^2 - 22*w - 12]', '[9912, 2478, 12*w^2 - 16*w - 46]', '[9912, 2478, 8*w^2 + 10*w - 18]', '[9912, 2478, -10*w^2 + 10*w + 18]', '[9912, 2478, 2*w^2 - 14*w - 18]', '[9912, 2478, 8*w^2 + 2*w - 36]', '[9912, 2478, -16*w^2 + 20*w + 42]', '[9913, 9913, -2*w^2 + 3*w + 27]', '[9917, 9917, 12*w^2 - 18*w - 37]', '[9921, 9921, 11*w^2 - 16*w - 39]', '[9921, 9921, 15*w^2 - 13*w - 74]', '[9923, 9923, 7*w^2 + 3*w - 38]', '[9927, 3309, -11*w^2 + 15*w + 62]', '[9927, 3309, 13*w^2 - 11*w - 38]', '[9927, 9927, -7*w^2 + 14*w + 33]', '[9929, 9929, 3*w^2 - 14*w - 15]', '[9931, 9931, 10*w^2 - 15*w - 39]', '[9931, 9931, 3*w^2 - 15*w - 11]', '[9931, 9931, -2*w^2 + 3*w - 17]', '[9933, 9933, -2*w^2 - 19*w - 2]', '[9933, 9933, -12*w^2 + 20*w + 13]', '[9939, 9939, 5*w^2 + 7*w - 22]', '[9939, 9939, -11*w^2 + 29*w + 6]', '[9941, 9941, 16*w^2 - 33*w - 9]', '[9941, 9941, 4*w^2 + 7*w - 28]', '[9941, 9941, 10*w^2 - 7*w - 7]', '[9947, 203, -7*w^2 + 14*w + 28]', '[9947, 9947, -9*w^2 + 15*w + 43]', '[9951, 9951, 2*w^2 - 16*w - 27]', '[9951, 9951, -14*w^2 - w + 33]', '[9951, 9951, -7*w^2 - 8*w + 20]', '[9951, 9951, 5*w^2 - 20*w - 51]', '[9957, 9957, 4*w^2 - 22*w + 21]', '[9957, 9957, 6*w^2 - 14*w - 23]', '[9959, 9959, w^2 + 13*w - 16]', '[9961, 9961, w^2 + 14*w + 26]', '[9963, 369, -3*w^2 - 12*w + 51]', '[9963, 369, 21*w^2 - 18*w - 75]', '[9963, 1107, 6*w^2 + 6*w - 45]', '[9963, 1107, 2*w^2 - 10*w + 23]', '[9963, 3321, 17*w^2 - 33*w - 17]', '[9963, 9963, -5*w^2 + w + 39]', '[9967, 9967, -3*w^2 + 6*w - 16]', '[9967, 9967, 10*w^2 - 11*w - 16]', '[9967, 9967, 13*w^2 - 5*w - 37]', '[9973, 9973, 2*w^2 - 15*w - 10]', '[9976, 2494, -10*w^2 + 22*w + 16]', '[9977, 9977, w^2 + 12*w - 20]', '[9981, 3327, -13*w^2 + 12*w + 37]', '[9981, 3327, -5*w^2 + 22*w - 29]', '[9981, 9981, -14*w + 25]', '[9983, 9983, -12*w^2 + 21*w + 8]', '[9987, 9987, -16*w^2 + 43*w]', '[9987, 9987, 2*w^2 + 11*w - 18]', '[9989, 9989, 3*w^2 + 7*w + 15]', '[9991, 9991, 11*w^2 - 9*w - 27]', '[9992, 2498, 6*w - 26]', '[9993, 9993, 7*w^2 + 5*w - 26]', '[9993, 9993, 8*w^2 - 17*w + 12]', '[9993, 9993, -9*w^2 + 23*w + 10]', '[9993, 9993, 11*w^2 - 11*w - 25]', '[9993, 9993, 9*w^2 - 29*w + 23]', '[9993, 9993, 10*w^2 - w - 14]', '[9999, 3333, -7*w^2 - 4*w + 29]', '[9999, 3333, -10*w^2 + 12*w + 13]', '[9999, 9999, 7*w^2 - 29*w + 15]'], 'label': '3.3.321.1', 'narrow_class_no': 1, 'primes': ['[3, 3, w + 1]', '[3, 3, w - 1]', '[7, 7, w^2 - 2]', '[8, 2, 2]', '[11, 11, -w^2 + w + 1]', '[23, 23, -w - 3]', '[29, 29, -w^2 + 2*w + 4]', '[31, 31, 2*w - 3]', '[41, 41, -2*w^2 + 3*w + 6]', '[43, 43, w^2 - 3*w + 3]', '[47, 47, w^2 + w - 4]', '[49, 7, 2*w^2 - 3*w - 3]', '[53, 53, w^2 - 3*w - 2]', '[59, 59, 2*w^2 - w - 5]', '[59, 59, w^2 - w - 7]', '[59, 59, -w^2 - w + 7]', '[67, 67, 2*w^2 - 3*w - 7]', '[73, 73, -w^2 + 4*w - 5]', '[79, 79, w^2 - 8]', '[79, 79, w^2 - 5*w + 5]', '[79, 79, w^2 - 3*w - 3]', '[83, 83, -3*w^2 + w + 9]', '[89, 89, 2*w^2 - w - 2]', '[97, 97, w^2 - 3*w - 6]', '[101, 101, 3*w - 4]', '[103, 103, 3*w - 5]', '[107, 107, -3*w^2 + 10]', '[107, 107, w^2 - 3*w - 5]', '[109, 109, w^2 + 2*w - 4]', '[121, 11, 3*w^2 - 2*w - 9]', '[125, 5, -5]', '[127, 127, w^2 + w - 10]', '[137, 137, 3*w^2 - 3*w - 8]', '[139, 139, -5*w^2 + 3*w + 18]', '[149, 149, 3*w^2 - 4*w - 6]', '[157, 157, w - 6]', '[163, 163, -4*w^2 + 2*w + 13]', '[163, 163, -w^2 - 3]', '[163, 163, 2*w^2 - 4*w - 11]', '[181, 181, 3*w^2 - 11]', '[193, 193, 3*w^2 - 3*w - 7]', '[193, 193, -3*w^2 + 3*w + 16]', '[193, 193, w^2 + 2*w - 7]', '[197, 197, 2*w^2 + w - 8]', '[211, 211, 4*w^2 - 5*w - 10]', '[227, 227, -w - 6]', '[229, 229, w^2 - 4*w - 7]', '[233, 233, 3*w^2 - 5]', '[239, 239, 2*w^2 - 3*w - 13]', '[251, 251, 3*w^2 - 4*w - 3]', '[257, 257, 3*w^2 - w - 6]', '[257, 257, 3*w^2 - 5*w - 9]', '[257, 257, w^2 + 3*w - 5]', '[263, 263, 2*w^2 + w - 11]', '[277, 277, 3*w^2 - 2*w - 6]', '[281, 281, 3*w^2 - 3*w - 5]', '[281, 281, -w^2 - 4]', '[281, 281, 4*w^2 - 3*w - 12]', '[293, 293, 2*w^2 - 5*w - 5]', '[307, 307, 3*w^2 - 2*w - 3]', '[317, 317, 3*w^2 - w - 18]', '[317, 317, -w^2 + 2*w - 5]', '[317, 317, -4*w^2 + 7*w + 4]', '[349, 349, -w^2 + 3*w - 6]', '[353, 353, 3*w^2 - 6*w - 7]', '[353, 353, w^2 - w - 10]', '[353, 353, -5*w - 3]', '[367, 367, -4*w^2 - w + 7]', '[379, 379, 4*w^2 - 3*w - 11]', '[383, 383, 4*w^2 - w - 10]', '[389, 389, w^2 - 5*w - 4]', '[389, 389, -5*w^2 + 7*w + 11]', '[389, 389, -7*w^2 + 4*w + 25]', '[397, 397, -w^2 + w - 5]', '[397, 397, 5*w^2 - 6*w - 22]', '[397, 397, -5*w^2 - w + 11]', '[401, 401, 2*w^2 - w - 14]', '[401, 401, 5*w^2 - 3*w - 16]', '[401, 401, w^2 + 3*w - 8]', '[409, 409, w^2 + 3*w - 9]', '[431, 431, 2*w - 9]', '[433, 433, w^2 - 3*w - 11]', '[439, 439, w^2 - 11]', '[439, 439, 5*w - 6]', '[439, 439, 3*w^2 + 2*w - 9]', '[443, 443, -6*w^2 + 3*w + 20]', '[443, 443, -w^2 - w - 5]', '[443, 443, 2*w^2 - 5*w - 11]', '[461, 461, 3*w^2 - 4*w - 18]', '[463, 463, 3*w^2 - 6*w - 17]', '[463, 463, -4*w^2 - 3*w + 9]', '[463, 463, 3*w^2 - 6*w - 8]', '[467, 467, 2*w^2 - 5*w - 8]', '[487, 487, 2*w^2 + 3*w - 7]', '[499, 499, 5*w^2 - 8*w - 8]', '[503, 503, 3*w^2 + w - 12]', '[509, 509, w^2 - 6*w - 11]', '[523, 523, 3*w^2 - 9*w - 2]', '[529, 23, -w^2 + 4*w - 8]', '[541, 541, 2*w^2 + 2*w - 11]', '[569, 569, 4*w^2 - 3*w - 9]', '[587, 587, -w^2 - 4*w + 13]', '[599, 599, 3*w - 11]', '[601, 601, -3*w^2 + 10*w - 9]', '[607, 607, 4*w^2 - 6*w - 15]', '[613, 613, w - 9]', '[619, 619, 5*w^2 - 2*w - 14]', '[631, 631, 4*w^2 - 5*w - 4]', '[647, 647, 4*w^2 - 4*w - 7]', '[647, 647, w^2 - 12]', '[647, 647, 4*w^2 - w - 7]', '[653, 653, 4*w^2 - 6*w - 17]', '[659, 659, 3*w^2 - 6*w - 10]', '[659, 659, 3*w^2 + w - 15]', '[659, 659, 4*w^2 - 17]', '[661, 661, 2*w^2 - 3*w - 15]', '[661, 661, -5*w^2 + 5*w + 26]', '[661, 661, 5*w^2 - 12*w - 4]', '[673, 673, w^2 + w - 13]', '[677, 677, w^2 - 3*w - 12]', '[683, 683, 5*w^2 - 4*w - 14]', '[709, 709, 4*w^2 - 2*w - 7]', '[733, 733, 3*w^2 - 6*w - 11]', '[739, 739, -2*w - 9]', '[743, 743, 6*w - 7]', '[751, 751, w^2 - 6*w - 9]', '[757, 757, 4*w^2 - 3*w - 5]', '[761, 761, -7*w^2 + 8*w + 31]', '[769, 769, w^2 - 6*w - 6]', '[773, 773, -w - 9]', '[773, 773, w^2 - 4*w - 13]', '[773, 773, 5*w^2 - 18]', '[787, 787, 3*w^2 - 6*w - 14]', '[797, 797, w^2 - 6*w - 8]', '[811, 811, 2*w^2 + 3*w - 10]', '[811, 811, -2*w^2 - 3*w + 16]', '[811, 811, -6*w^2 + 11*w + 6]', '[823, 823, w^2 + 5*w - 7]', '[829, 829, -5*w^2 - 2*w + 14]', '[839, 839, 2*w^2 - 6*w - 9]', '[841, 29, 2*w^2 - 7*w - 5]', '[853, 853, 5*w^2 - 28]', '[857, 857, 7*w^2 - 9*w - 23]', '[877, 877, -8*w^2 + 3*w + 31]', '[881, 881, 6*w^2 - 9*w - 11]', '[907, 907, 4*w^2 - 7*w - 13]', '[911, 911, 2*w^2 + 3*w - 15]', '[911, 911, -w^2 - 7]', '[911, 911, 3*w^2 + 3*w - 10]', '[919, 919, w^2 - 7*w - 4]', '[941, 941, 6*w^2 - 11*w - 12]', '[947, 947, 5*w^2 - w - 11]', '[947, 947, 3*w^2 - 8*w - 6]', '[947, 947, 2*w^2 + 3*w - 12]', '[953, 953, -5*w^2 - 4*w + 11]', '[953, 953, 4*w^2 - w - 25]', '[953, 953, 6*w^2 - 7*w - 15]', '[961, 31, 4*w^2 + 2*w - 13]', '[977, 977, -2*w^2 + 3*w - 6]', '[991, 991, 5*w^2 - 5*w - 11]']}
8. label: 3.3.361.1
   {'degree': 3, 'discriminant': 361, 'ideals': ['[1, 1, 1]', '[7, 7, w]', '[7, 7, w^2 - 4]', '[7, 7, w^2 + w - 5]', '[8, 2, 2]', '[11, 11, w + 1]', '[11, 11, -w^2 - w + 6]', '[11, 11, -w^2 + 3]', '[19, 19, -w^2 + w + 4]', '[27, 3, -3]', '[31, 31, w^2 - 8]', '[31, 31, 2*w^2 - 9]', '[31, 31, 2*w^2 + 2*w - 9]', '[37, 37, 2*w^2 + w - 8]', '[37, 37, w^2 + 2*w - 6]', '[37, 37, w^2 - w - 5]', '[49, 7, w^2 + 2*w - 7]', '[49, 7, 2*w^2 + w - 7]', '[49, 7, -w^2 + w + 6]', '[49, 49, -w^2 - 2*w + 8]', '[49, 49, -w^2 + w + 7]', '[49, 49, -2*w^2 - w + 6]', '[56, 14, 2*w]', '[56, 14, 2*w^2 - 8]', '[56, 14, 2*w^2 + 2*w - 10]', '[64, 4, 4]', '[77, 77, -2*w^2 + 7]', '[77, 77, 2*w^2 + 2*w - 11]', '[77, 77, w^2 - 9]', '[77, 77, -3*w^2 - w + 14]', '[77, 77, -2*w - 1]', '[77, 77, w^2 + w]', '[77, 77, 2*w^2 + 3*w - 9]', '[77, 77, w^2 - 2*w - 3]', '[77, 77, w - 5]', '[83, 83, -2*w - 3]', '[83, 83, 2*w^2 - 5]', '[83, 83, 2*w^2 + 2*w - 13]', '[88, 22, 2*w + 2]', '[88, 22, -2*w^2 - 2*w + 12]', '[88, 22, -2*w^2 + 6]', '[103, 103, 3*w^2 + 2*w - 17]', '[103, 103, 2*w^2 - w - 5]', '[103, 103, 3*w^2 + 2*w - 18]', '[107, 107, w^2 - 3*w - 1]', '[107, 107, -3*w^2 - 4*w + 12]', '[107, 107, 4*w^2 + w - 20]', '[113, 113, -w^2 - 4*w + 5]', '[113, 113, 2*w^2 - w - 13]', '[113, 113, -3*w^2 - 2*w + 9]', '[121, 11, -3*w^2 - w + 13]', '[121, 11, -2*w^2 - 3*w + 10]', '[121, 11, -w^2 + 2*w + 4]', '[121, 121, -3*w^2 - 2*w + 10]', '[121, 121, -2*w^2 + w + 12]', '[121, 121, -w^2 - 3*w + 9]', '[125, 5, -5]', '[133, 133, 3*w^2 - 13]', '[133, 133, -3*w + 1]', '[133, 133, -3*w^2 - 3*w + 14]', '[151, 151, w^2 - 10]', '[151, 151, -w^2 - w - 1]', '[151, 151, w - 6]', '[152, 38, -2*w^2 + 2*w + 8]', '[163, 163, w^2 - 2*w - 5]', '[163, 163, 2*w^2 + 3*w - 11]', '[163, 163, 3*w^2 + w - 12]', '[179, 179, -4*w^2 - 3*w + 15]', '[179, 179, 3*w^2 - w - 16]', '[179, 179, 4*w^2 + w - 19]', '[189, 21, -3*w]', '[189, 21, -3*w^2 + 12]', '[189, 21, -3*w^2 - 3*w + 15]', '[191, 191, 4*w^2 + 3*w - 20]', '[191, 191, 2*w^2 + 3*w - 15]', '[191, 191, 3*w^2 - w - 11]', '[197, 197, 2*w^2 + 3*w - 12]', '[197, 197, 3*w^2 + w - 11]', '[197, 197, w^2 - 2*w - 6]', '[209, 209, w + 6]', '[209, 209, w^2 + 2]', '[209, 209, -w^2 - w + 11]', '[216, 6, -6]', '[217, 217, -5*w^2 - 3*w + 26]', '[217, 217, -w^2 + 2*w + 8]', '[217, 217, w^2 - 2*w - 7]', '[217, 217, -3*w^2 + w + 17]', '[217, 217, 2*w^2 + 3*w - 14]', '[217, 217, w^2 + 3*w + 3]', '[217, 217, -5*w^2 - w + 25]', '[217, 217, 4*w^2 + 3*w - 14]', '[217, 217, -3*w^2 - 2*w + 22]', '[227, 227, 2*w^2 - 2*w - 9]', '[227, 227, 2*w^2 + 4*w - 11]', '[227, 227, 4*w^2 + 2*w - 17]', '[229, 229, 2*w^2 + w - 16]', '[229, 229, -w^2 + w - 3]', '[229, 229, -w^2 - 2*w - 2]', '[239, 239, 3*w^2 + 3*w - 16]', '[239, 239, -3*w - 1]', '[239, 239, 3*w^2 - 11]', '[248, 62, 2*w^2 - 16]', '[248, 62, 4*w^2 - 18]', '[248, 62, 4*w^2 + 4*w - 18]', '[259, 259, 3*w^2 + 4*w - 14]', '[259, 259, -3*w^2 - 3*w + 20]', '[259, 259, -w^2 + 11]', '[259, 259, -4*w^2 - w + 18]', '[259, 259, 3*w + 5]', '[259, 259, 3*w^2 - 7]', '[259, 259, -w^2 + 3*w + 3]', '[259, 259, w^2 + w + 2]', '[259, 259, w - 7]', '[277, 277, -3*w - 2]', '[277, 277, 3*w^2 + 3*w - 17]', '[277, 277, 3*w^2 - 10]', '[293, 293, 3*w^2 - 8]', '[293, 293, -3*w - 4]', '[293, 293, 3*w^2 + 3*w - 19]', '[296, 74, 4*w^2 + 2*w - 16]', '[296, 74, 2*w^2 + 4*w - 12]', '[296, 74, 2*w^2 - 2*w - 10]', '[297, 33, -3*w - 3]', '[297, 33, 3*w^2 + 3*w - 18]', '[297, 33, 3*w^2 - 9]', '[311, 311, w^2 + 4*w - 2]', '[311, 311, -4*w^2 - 3*w + 22]', '[311, 311, 3*w^2 - w - 9]', '[331, 331, 4*w^2 - w - 22]', '[331, 331, 4*w^2 + w - 27]', '[331, 331, 5*w^2 + w - 24]', '[341, 341, w^2 + 2*w - 13]', '[341, 341, w^2 - w - 12]', '[341, 341, 6*w^2 + 5*w - 23]', '[341, 341, -w^2 - 4*w + 1]', '[341, 341, 6*w^2 + 3*w - 34]', '[341, 341, 2*w^2 - 2*w - 15]', '[341, 341, 5*w^2 - w - 26]', '[341, 341, 4*w^2 + 3*w - 23]', '[341, 341, 4*w^2 + w - 17]', '[343, 7, 7]', '[343, 49, 3*w^2 - w - 7]', '[343, 49, 3*w^2 + 5*w - 14]', '[343, 49, -2*w^2 + 3*w + 7]', '[343, 49, 4*w^2 + 3*w - 24]', '[343, 49, w^2 + 4*w]', '[343, 49, 5*w^2 + 2*w - 23]', '[343, 343, w + 7]', '[343, 343, -w^2 - 3]', '[343, 343, w^2 + w - 12]', '[349, 349, 4*w - 1]', '[349, 349, -4*w^2 - 4*w + 19]', '[349, 349, 4*w^2 - 17]', '[353, 353, 2*w^2 + 4*w - 13]', '[353, 353, 4*w^2 + 2*w - 15]', '[353, 353, 2*w^2 - 2*w - 11]', '[361, 19, -3*w^2 + 2*w + 6]', '[373, 373, -6*w^2 - w + 30]', '[373, 373, -5*w^2 - 4*w + 17]', '[373, 373, -5*w^2 - 6*w + 20]', '[379, 379, -w^2 + w - 4]', '[379, 379, -w^2 - 2*w - 3]', '[379, 379, 2*w^2 + w - 17]', '[392, 14, 2*w^2 + 4*w - 14]', '[392, 14, 4*w^2 + 2*w - 14]', '[392, 14, -2*w^2 + 2*w + 12]', '[392, 98, -2*w^2 - 4*w + 16]', '[392, 98, -2*w^2 + 2*w + 14]', '[392, 98, -4*w^2 - 2*w + 12]', '[407, 407, 2*w^2 - 2*w - 13]', '[407, 407, w^2 - 12]', '[407, 407, 4*w^2 + 2*w - 13]', '[407, 407, 5*w^2 + 5*w - 22]', '[407, 407, 2*w^2 + 4*w - 15]', '[407, 407, 5*w^2 - 23]', '[407, 407, -5*w + 3]', '[407, 407, -w^2 - w - 3]', '[407, 407, w - 8]', '[419, 419, 3*w^2 + 4*w - 16]', '[419, 419, 4*w^2 + w - 16]', '[419, 419, w^2 - 3*w - 5]', '[448, 28, 4*w]', '[448, 28, 4*w^2 - 16]', '[448, 28, 4*w^2 + 4*w - 20]', '[449, 449, 2*w^2 + 5*w - 13]', '[449, 449, 5*w^2 + 3*w - 20]', '[449, 449, 3*w^2 - 2*w - 15]', '[457, 457, 5*w^2 + w - 23]', '[457, 457, w^2 - 4*w - 2]', '[457, 457, -4*w^2 - 5*w + 18]', '[463, 463, 5*w^2 + 2*w - 22]', '[463, 463, 2*w^2 - 3*w - 8]', '[463, 463, 3*w^2 + 5*w - 15]', '[467, 467, 4*w^2 - w - 15]', '[467, 467, w^2 + 5*w - 4]', '[467, 467, 5*w^2 + 4*w - 25]', '[487, 487, 3*w^2 + 4*w - 17]', '[487, 487, 4*w^2 + w - 15]', '[487, 487, w^2 - 3*w - 6]', '[512, 8, 8]', '[513, 57, 3*w^2 - 3*w - 12]', '[521, 521, -w - 8]', '[521, 521, -w^2 - 4]', '[521, 521, w^2 + w - 13]', '[539, 77, 5*w^2 + 6*w - 21]', '[539, 77, 4*w^2 + w - 14]', '[539, 77, -w^2 + w + 13]', '[539, 77, w^2 - 3*w - 7]', '[539, 77, w^2 + 2*w - 14]', '[539, 77, -6*w^2 - w + 29]', '[539, 77, -2*w^2 - w]', '[539, 77, -3*w^2 - 4*w + 18]', '[539, 77, w^2 - 5*w]', '[539, 539, -3*w^2 - 4*w + 21]', '[539, 539, -4*w^2 - w + 11]', '[539, 539, -4*w^2 - 4*w + 21]', '[539, 539, 4*w + 1]', '[539, 539, -4*w^2 + 15]', '[539, 539, -3*w^2 + 2*w + 16]', '[539, 539, -5*w^2 - 3*w + 19]', '[539, 539, -w^2 + 3*w + 10]', '[539, 539, -2*w^2 - 5*w + 14]', '[563, 563, 5*w^2 + 5*w - 23]', '[563, 563, 5*w - 2]', '[563, 563, 5*w^2 - 22]', '[569, 569, w^2 - 3*w - 8]', '[569, 569, 3*w^2 + 4*w - 19]', '[569, 569, 4*w^2 + w - 13]', '[571, 571, w^2 - 3*w - 9]', '[571, 571, 3*w^2 + 4*w - 20]', '[571, 571, 4*w^2 + w - 12]', '[577, 577, 2*w^2 + w - 18]', '[577, 577, -w^2 + w - 5]', '[577, 577, -w^2 - 2*w - 4]', '[581, 581, w^2 - 2*w + 6]', '[581, 581, -2*w^2 - 3*w]', '[581, 581, 4*w^2 - w - 14]', '[581, 581, 2*w^2 + 7*w - 14]', '[581, 581, -7*w^2 - 5*w + 29]', '[581, 581, -3*w^2 - w + 23]', '[581, 581, w^2 + 5*w - 3]', '[581, 581, -5*w^2 - 4*w + 26]', '[581, 581, -5*w^2 + 2*w + 24]', '[589, 589, 5*w^2 + w - 22]', '[589, 589, 6*w^2 - w - 32]', '[589, 589, 5*w^2 + 5*w - 36]', '[601, 601, w^2 - 13]', '[601, 601, -w^2 - w - 4]', '[601, 601, w - 9]', '[607, 607, 5*w^2 + 3*w - 18]', '[607, 607, 2*w^2 + 5*w - 15]', '[607, 607, 3*w^2 - 2*w - 17]', '[616, 154, -4*w^2 + 14]', '[616, 154, 4*w^2 + 4*w - 22]', '[616, 154, 2*w^2 - 18]', '[616, 154, -6*w^2 - 2*w + 28]', '[616, 154, -4*w - 2]', '[616, 154, 2*w^2 + 2*w]', '[616, 154, 4*w^2 + 6*w - 18]', '[616, 154, 2*w^2 - 4*w - 6]', '[616, 154, 2*w - 10]', '[619, 619, -2*w - 9]', '[619, 619, 2*w^2 + 2*w - 19]', '[619, 619, -2*w^2 - 1]', '[647, 647, 3*w^2 - 2*w - 18]', '[647, 647, 5*w^2 + 3*w - 17]', '[647, 647, 2*w^2 + 5*w - 16]', '[653, 653, 2*w^2 + 5*w - 17]', '[653, 653, 3*w^2 - 2*w - 19]', '[653, 653, -5*w^2 - 3*w + 16]', '[664, 166, -4*w - 6]', '[664, 166, 4*w^2 - 10]', '[664, 166, 4*w^2 + 4*w - 26]', '[673, 673, 4*w^2 - 13]', '[673, 673, -4*w - 3]', '[673, 673, 4*w^2 + 4*w - 23]', '[677, 677, 5*w^2 + 4*w - 27]', '[677, 677, w^2 + 5*w - 2]', '[677, 677, 4*w^2 - w - 13]', '[683, 683, 3*w^2 + 6*w - 16]', '[683, 683, 3*w^2 - 3*w - 13]', '[683, 683, 6*w^2 + 3*w - 26]', '[691, 691, -5*w^2 - 2*w + 20]', '[691, 691, 3*w^2 + 5*w - 17]', '[691, 691, 2*w^2 - 3*w - 10]', '[703, 703, 4*w^2 - 3*w - 10]', '[703, 703, 3*w^2 + 4*w - 27]', '[703, 703, 4*w^2 + 4*w - 25]', '[704, 44, 4*w + 4]', '[704, 44, -4*w^2 - 4*w + 24]', '[704, 44, -4*w^2 + 12]', '[721, 721, -w^2 + 4*w + 4]', '[721, 721, -4*w^2 + 29]', '[721, 721, -4*w + 13]', '[721, 721, -5*w^2 - w + 34]', '[721, 721, -6*w^2 + w + 33]', '[721, 721, w^2 + 7*w - 14]', '[721, 721, -7*w^2 + w + 37]', '[721, 721, 5*w^2 + w - 21]', '[721, 721, 5*w^2 - 21]', '[729, 9, -9]', '[733, 733, -6*w^2 - 5*w + 29]', '[733, 733, 5*w^2 - w - 20]', '[733, 733, 2*w^2 - w - 19]', '[749, 749, -w^2 - 7*w + 18]', '[749, 749, -w^2 - 5*w + 1]', '[749, 749, -6*w^2 + w + 37]', '[749, 749, -4*w^2 + w + 12]', '[749, 749, -5*w^2 - 7*w + 10]', '[749, 749, 5*w^2 + 4*w - 28]', '[749, 749, -2*w^2 + 5*w - 7]', '[749, 749, -7*w^2 - 6*w + 21]', '[749, 749, -7*w^2 - 2*w + 45]', '[761, 761, 6*w^2 + 4*w - 33]', '[761, 761, 4*w^2 - 2*w - 11]', '[761, 761, 5*w^2 + 4*w - 31]', '[787, 787, 2*w^2 - 3*w - 11]', '[787, 787, 3*w^2 + 5*w - 18]', '[787, 787, 5*w^2 + 2*w - 19]', '[791, 791, -8*w^2 - 4*w + 45]', '[791, 791, -2*w^2 - w - 1]', '[791, 791, -5*w^2 - w + 7]', '[791, 791, -9*w^2 - 4*w + 44]', '[791, 791, -4*w^2 - 8*w + 11]', '[791, 791, -2*w^2 - 7*w + 15]', '[791, 791, -6*w^2 - 4*w + 17]', '[791, 791, w^2 - w - 14]', '[791, 791, -5*w^2 - 9*w + 21]', '[797, 797, 5*w^2 + 4*w - 30]', '[797, 797, -w^2 - 5*w - 1]', '[797, 797, 4*w^2 - w - 10]', '[809, 809, -7*w^2 - 6*w + 24]', '[809, 809, 7*w^2 + w - 34]', '[809, 809, 6*w^2 - w - 34]', '[824, 206, 6*w^2 + 4*w - 34]', '[824, 206, 4*w^2 - 2*w - 10]', '[824, 206, 6*w^2 + 4*w - 36]', '[829, 829, -w^2 + w - 6]', '[829, 829, -w^2 - 2*w - 5]', '[829, 829, 2*w^2 + w - 19]', '[837, 93, 3*w^2 - 24]', '[837, 93, 6*w^2 - 27]', '[837, 93, 6*w^2 + 6*w - 27]', '[847, 77, w^2 - 2*w + 7]', '[847, 77, -4*w^2 - 5*w + 21]', '[847, 77, -5*w^2 - 2*w + 14]', '[847, 77, 3*w^2 + 5*w - 23]', '[847, 77, w^2 - 4*w - 5]', '[847, 77, 3*w^2 + w - 24]', '[847, 77, 2*w^2 - 3*w - 16]', '[847, 77, -2*w^2 - 3*w - 1]', '[847, 77, 5*w^2 + w - 20]', '[847, 847, 4*w^2 - 2*w - 9]', '[847, 847, -w^2 + 14]', '[847, 847, -2*w^2 - 6*w + 3]', '[847, 847, 3*w^2 + 6*w - 17]', '[847, 847, -6*w^2 - 4*w + 35]', '[847, 847, -3*w^2 + 3*w + 14]', '[847, 847, 6*w^2 + 3*w - 25]', '[847, 847, -w^2 - w - 5]', '[847, 847, w - 10]', '[856, 214, 2*w^2 - 6*w - 2]', '[856, 214, -6*w^2 - 8*w + 24]', '[856, 214, 8*w^2 + 2*w - 40]', '[863, 863, 3*w^2 + 5*w - 19]', '[863, 863, 2*w^2 - 3*w - 12]', '[863, 863, 5*w^2 + 2*w - 18]', '[875, 35, -5*w]', '[875, 35, -5*w^2 + 20]', '[875, 35, -5*w^2 - 5*w + 25]', '[881, 881, -2*w^2 - 2*w - 1]', '[881, 881, 2*w^2 - 19]', '[881, 881, 2*w - 11]', '[904, 226, -2*w^2 - 8*w + 10]', '[904, 226, 4*w^2 - 2*w - 26]', '[904, 226, -6*w^2 - 4*w + 18]', '[911, 911, 2*w^2 - 3*w - 15]', '[911, 911, 5*w^2 + 2*w - 15]', '[911, 911, 3*w^2 + 5*w - 22]', '[913, 913, w^2 - 5*w - 2]', '[913, 913, 5*w^2 + 6*w - 23]', '[913, 913, -2*w^2 - 5*w - 3]', '[913, 913, 3*w^2 - 4*w - 11]', '[913, 913, -3*w^2 + 2*w - 1]', '[913, 913, 6*w^2 + w - 27]', '[913, 913, 4*w^2 + 7*w - 19]', '[913, 913, 7*w^2 + 3*w - 32]', '[913, 913, 5*w^2 + 3*w - 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22*w + 60]', '[9949, 9949, w^2 - 9*w - 18]', '[9949, 9949, 10*w^2 + w - 27]', '[9949, 9949, 9*w^2 + 10*w - 59]', '[9967, 9967, 7*w^2 - 6*w - 36]', '[9967, 9967, 13*w^2 + 7*w - 51]', '[9967, 9967, 6*w^2 + 13*w - 38]'], 'label': '3.3.361.1', 'narrow_class_no': 1, 'primes': ['[7, 7, w]', '[7, 7, w^2 - 4]', '[7, 7, w^2 + w - 5]', '[8, 2, 2]', '[11, 11, w + 1]', '[11, 11, -w^2 - w + 6]', '[11, 11, -w^2 + 3]', '[19, 19, -w^2 + w + 4]', '[27, 3, -3]', '[31, 31, w^2 - 8]', '[31, 31, 2*w^2 - 9]', '[31, 31, 2*w^2 + 2*w - 9]', '[37, 37, 2*w^2 + w - 8]', '[37, 37, w^2 + 2*w - 6]', '[37, 37, w^2 - w - 5]', '[83, 83, -2*w - 3]', '[83, 83, 2*w^2 - 5]', '[83, 83, 2*w^2 + 2*w - 13]', '[103, 103, 3*w^2 + 2*w - 17]', '[103, 103, 2*w^2 - w - 5]', '[103, 103, 3*w^2 + 2*w - 18]', '[107, 107, w^2 - 3*w - 1]', '[107, 107, -3*w^2 - 4*w + 12]', '[107, 107, 4*w^2 + w - 20]', '[113, 113, -w^2 - 4*w + 5]', '[113, 113, 2*w^2 - w - 13]', '[113, 113, -3*w^2 - 2*w + 9]', '[125, 5, -5]', '[151, 151, w^2 - 10]', '[151, 151, -w^2 - w - 1]', '[151, 151, w - 6]', '[163, 163, w^2 - 2*w - 5]', '[163, 163, 2*w^2 + 3*w - 11]', '[163, 163, 3*w^2 + w - 12]', '[179, 179, -4*w^2 - 3*w + 15]', '[179, 179, 3*w^2 - w - 16]', '[179, 179, 4*w^2 + w - 19]', '[191, 191, 4*w^2 + 3*w - 20]', '[191, 191, 2*w^2 + 3*w - 15]', '[191, 191, 3*w^2 - w - 11]', '[197, 197, 2*w^2 + 3*w - 12]', '[197, 197, 3*w^2 + w - 11]', '[197, 197, w^2 - 2*w - 6]', '[227, 227, 2*w^2 - 2*w - 9]', '[227, 227, 2*w^2 + 4*w - 11]', '[227, 227, 4*w^2 + 2*w - 17]', '[229, 229, 2*w^2 + w - 16]', '[229, 229, -w^2 + w - 3]', '[229, 229, -w^2 - 2*w - 2]', '[239, 239, 3*w^2 + 3*w - 16]', '[239, 239, -3*w - 1]', '[239, 239, 3*w^2 - 11]', '[277, 277, -3*w - 2]', '[277, 277, 3*w^2 + 3*w - 17]', '[277, 277, 3*w^2 - 10]', '[293, 293, 3*w^2 - 8]', '[293, 293, -3*w - 4]', '[293, 293, 3*w^2 + 3*w - 19]', '[311, 311, w^2 + 4*w - 2]', '[311, 311, -4*w^2 - 3*w + 22]', '[311, 311, 3*w^2 - w - 9]', '[331, 331, 4*w^2 - w - 22]', '[331, 331, 4*w^2 + w - 27]', '[331, 331, 5*w^2 + w - 24]', '[349, 349, 4*w - 1]', '[349, 349, -4*w^2 - 4*w + 19]', '[349, 349, 4*w^2 - 17]', '[353, 353, 2*w^2 + 4*w - 13]', '[353, 353, 4*w^2 + 2*w - 15]', '[353, 353, 2*w^2 - 2*w - 11]', '[373, 373, -6*w^2 - w + 30]', '[373, 373, -5*w^2 - 4*w + 17]', '[373, 373, -5*w^2 - 6*w + 20]', '[379, 379, -w^2 + w - 4]', '[379, 379, -w^2 - 2*w - 3]', '[379, 379, 2*w^2 + w - 17]', '[419, 419, 3*w^2 + 4*w - 16]', '[419, 419, 4*w^2 + w - 16]', '[419, 419, w^2 - 3*w - 5]', '[449, 449, 2*w^2 + 5*w - 13]', '[449, 449, 5*w^2 + 3*w - 20]', '[449, 449, 3*w^2 - 2*w - 15]', '[457, 457, 5*w^2 + w - 23]', '[457, 457, w^2 - 4*w - 2]', '[457, 457, -4*w^2 - 5*w + 18]', '[463, 463, 5*w^2 + 2*w - 22]', '[463, 463, 2*w^2 - 3*w - 8]', '[463, 463, 3*w^2 + 5*w - 15]', '[467, 467, 4*w^2 - w - 15]', '[467, 467, w^2 + 5*w - 4]', '[467, 467, 5*w^2 + 4*w - 25]', '[487, 487, 3*w^2 + 4*w - 17]', '[487, 487, 4*w^2 + w - 15]', '[487, 487, w^2 - 3*w - 6]', '[521, 521, -w - 8]', '[521, 521, -w^2 - 4]', '[521, 521, w^2 + w - 13]', '[563, 563, 5*w^2 + 5*w - 23]', '[563, 563, 5*w - 2]', '[563, 563, 5*w^2 - 22]', '[569, 569, w^2 - 3*w - 8]', '[569, 569, 3*w^2 + 4*w - 19]', '[569, 569, 4*w^2 + w - 13]', '[571, 571, w^2 - 3*w - 9]', '[571, 571, 3*w^2 + 4*w - 20]', '[571, 571, 4*w^2 + w - 12]', '[577, 577, 2*w^2 + w - 18]', '[577, 577, -w^2 + w - 5]', '[577, 577, -w^2 - 2*w - 4]', '[601, 601, w^2 - 13]', '[601, 601, -w^2 - w - 4]', '[601, 601, w - 9]', '[607, 607, 5*w^2 + 3*w - 18]', '[607, 607, 2*w^2 + 5*w - 15]', '[607, 607, 3*w^2 - 2*w - 17]', '[619, 619, -2*w - 9]', '[619, 619, 2*w^2 + 2*w - 19]', '[619, 619, -2*w^2 - 1]', '[647, 647, 3*w^2 - 2*w - 18]', '[647, 647, 5*w^2 + 3*w - 17]', '[647, 647, 2*w^2 + 5*w - 16]', '[653, 653, 2*w^2 + 5*w - 17]', '[653, 653, 3*w^2 - 2*w - 19]', '[653, 653, -5*w^2 - 3*w + 16]', '[673, 673, 4*w^2 - 13]', '[673, 673, -4*w - 3]', '[673, 673, 4*w^2 + 4*w - 23]', '[677, 677, 5*w^2 + 4*w - 27]', '[677, 677, w^2 + 5*w - 2]', '[677, 677, 4*w^2 - w - 13]', '[683, 683, 3*w^2 + 6*w - 16]', '[683, 683, 3*w^2 - 3*w - 13]', '[683, 683, 6*w^2 + 3*w - 26]', '[691, 691, -5*w^2 - 2*w + 20]', '[691, 691, 3*w^2 + 5*w - 17]', '[691, 691, 2*w^2 - 3*w - 10]', '[733, 733, -6*w^2 - 5*w + 29]', '[733, 733, 5*w^2 - w - 20]', '[733, 733, 2*w^2 - w - 19]', '[761, 761, 6*w^2 + 4*w - 33]', '[761, 761, 4*w^2 - 2*w - 11]', '[761, 761, 5*w^2 + 4*w - 31]', '[787, 787, 2*w^2 - 3*w - 11]', '[787, 787, 3*w^2 + 5*w - 18]', '[787, 787, 5*w^2 + 2*w - 19]', '[797, 797, 5*w^2 + 4*w - 30]', '[797, 797, -w^2 - 5*w - 1]', '[797, 797, 4*w^2 - w - 10]', '[809, 809, -7*w^2 - 6*w + 24]', '[809, 809, 7*w^2 + w - 34]', '[809, 809, 6*w^2 - w - 34]', '[829, 829, -w^2 + w - 6]', '[829, 829, -w^2 - 2*w - 5]', '[829, 829, 2*w^2 + w - 19]', '[863, 863, 3*w^2 + 5*w - 19]', '[863, 863, 2*w^2 - 3*w - 12]', '[863, 863, 5*w^2 + 2*w - 18]', '[881, 881, -2*w^2 - 2*w - 1]', '[881, 881, 2*w^2 - 19]', '[881, 881, 2*w - 11]', '[911, 911, 2*w^2 - 3*w - 15]', '[911, 911, 5*w^2 + 2*w - 15]', '[911, 911, 3*w^2 + 5*w - 22]', '[919, 919, 6*w^2 + 5*w - 30]', '[919, 919, 5*w^2 - w - 19]', '[919, 919, w^2 + 6*w - 4]', '[977, 977, 7*w^2 + 5*w - 27]', '[977, 977, 5*w^2 - 2*w - 26]', '[977, 977, 7*w^2 + 2*w - 33]']}
9. label: 3.3.404.1
   {'degree': 3, 'discriminant': 404, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 1]', '[3, 3, w^2 - 2*w - 2]', '[4, 2, w^2 - 2*w - 3]', '[6, 6, -w + 1]', '[7, 7, -w + 2]', '[8, 2, 2]', '[9, 3, w^2 - 2]', '[9, 9, w^2 - w - 3]', '[11, 11, -w^2 + 2*w + 4]', '[12, 6, w^2 - 2*w - 5]', '[14, 14, w^2 - w - 2]', '[16, 4, -2*w - 2]', '[18, 6, w^2 - 3*w - 2]', '[18, 18, -w^2 - w + 2]', '[21, 21, -w^2 + 4]', '[22, 22, -w - 3]', '[24, 6, 2*w^2 - 4*w - 4]', '[27, 3, 3]', '[27, 27, -w + 4]', '[28, 14, -w^2 + 2*w + 7]', '[29, 29, -2*w + 1]', '[32, 4, 2*w^2 - 4*w - 6]', '[33, 33, 2*w - 5]', '[36, 6, -w^2 + 5]', '[36, 18, w^2 - 2*w + 1]', '[37, 37, 2*w^2 - 4*w - 3]', '[37, 37, -w^2 + 3*w + 3]', '[37, 37, 2*w^2 - w - 8]', '[41, 41, w^2 - 4*w + 2]', '[42, 42, w^2 - 3*w + 2]', '[43, 43, -2*w^2 + 2*w + 7]', '[43, 43, -2*w^2 + 3*w + 6]', '[43, 43, -w^2 + 6]', '[44, 22, -w^2 + 4*w - 1]', '[48, 12, -2*w + 2]', '[49, 7, w^2 + w - 3]', '[49, 49, 2*w^2 - w - 6]', '[53, 53, 2*w^2 - 5*w - 4]', '[54, 6, -3*w - 3]', '[54, 54, w^2 - 3*w - 4]', '[56, 14, -2*w + 4]', '[58, 58, w^2 - 3*w - 6]', '[59, 59, 2*w - 3]', '[61, 61, -w - 4]', '[63, 21, w^2 - 3*w - 5]', '[63, 63, 2*w^2 - 4*w - 7]', '[64, 4, 4]', '[66, 66, -2*w^2 + 3*w + 5]', '[67, 67, -2*w^2 - w + 2]', '[72, 6, 2*w^2 - 4]', '[72, 18, 2*w^2 - 2*w - 6]', '[73, 73, 2*w^2 - 3*w - 12]', '[74, 74, 2*w^2 - w - 9]', '[74, 74, -w^2 + w + 8]', '[74, 74, w - 5]', '[77, 77, -2*w^2 + 6*w + 3]', '[81, 9, 2*w^2 - 3*w - 4]', '[81, 9, 3*w^2 - 6*w - 6]', '[81, 81, -w^2 + 2*w + 8]', '[82, 82, 2*w^2 - 3*w - 3]', '[83, 83, -2*w - 5]', '[84, 42, w^2 - 4*w - 3]', '[86, 86, -3*w^2 + 7*w + 6]', '[86, 86, w^2 + w - 4]', '[86, 86, 2*w^2 - w - 5]', '[87, 87, 3*w^2 - 8*w - 4]', '[88, 22, -2*w^2 + 4*w + 8]', '[89, 89, -w^2 + 2*w - 2]', '[96, 12, 2*w^2 - 4*w - 10]', '[97, 97, -2*w + 7]', '[97, 97, -2*w^2 + 3]', '[97, 97, 2*w^2 - 2*w - 5]', '[98, 14, -2*w^2 + 5*w - 1]', '[98, 98, 2*w^2 - 5*w - 5]', '[99, 33, 2*w^2 - 7]', '[99, 99, 2*w^2 - w - 10]', '[101, 101, w^2 - 3*w - 9]', '[101, 101, 2*w^2 - 4*w - 9]', '[103, 103, w^2 - 3*w + 3]', '[106, 106, w^2 - w + 2]', '[108, 6, 3*w^2 - 6*w - 9]', '[108, 54, -3*w^2 + 2*w + 13]', '[109, 109, -w^2 + 4*w + 8]', '[111, 111, 4*w + 5]', '[111, 111, -2*w^2 + 2*w + 3]', '[111, 111, 2*w^2 - w - 4]', '[112, 28, 2*w^2 - 2*w - 4]', '[113, 113, 3*w^2 - 3*w - 11]', '[116, 58, 3*w^2 - 6*w - 5]', '[118, 118, -2*w^2 + w + 3]', '[121, 11, w^2 - 4*w - 4]', '[121, 121, -3*w + 2]', '[122, 122, w^2 + 5*w + 4]', '[123, 123, -w^2 - w + 5]', '[125, 5, -5]', '[126, 42, 4*w^2 - 9*w - 5]', '[126, 126, w + 5]', '[127, 127, 4*w^2 - 7*w - 14]', '[128, 8, -4*w - 4]', '[129, 129, -3*w^2 + 2*w + 10]', '[129, 129, -w^2 + 5*w - 1]', '[129, 129, 4*w^2 - 9*w - 4]', '[132, 66, w^2 + 2*w - 3]', '[134, 134, -3*w^2 + 5*w + 8]', '[139, 139, 3*w^2 - 4*w - 10]', '[144, 12, 2*w^2 - 6*w - 4]', '[144, 36, -2*w^2 - 2*w + 4]', '[146, 146, -w^2 + 5*w + 10]', '[147, 21, -2*w^2 + 5*w + 6]', '[147, 147, -w^2 + w + 9]', '[148, 74, w^2 - 4*w - 7]', '[148, 74, -w^2 + 4*w - 5]', '[148, 74, -w^2 + 4*w + 5]', '[149, 149, w - 6]', '[151, 151, -w^2 - w + 9]', '[154, 154, w^2 + w - 6]', '[159, 159, 5*w^2 - 15*w + 1]', '[162, 18, -2*w^2 + 3*w + 13]', '[162, 18, -3*w + 3]', '[162, 162, w^2 - 5*w + 4]', '[163, 163, -w^2 - w - 3]', '[164, 82, -w^2 + 2*w + 9]', '[166, 166, -w^2 + 5*w - 2]', '[167, 167, -3*w^2 - 2*w + 6]', '[168, 42, -2*w^2 + 8]', '[172, 86, -w^2 + 2*w - 3]', '[172, 86, -3*w^2 + 8*w - 1]', '[172, 86, 3*w^2 - 8*w - 5]', '[173, 173, w^2 + w - 7]', '[174, 174, -w^2 - w + 8]', '[176, 44, -2*w - 6]', '[177, 177, -5*w^2 + 12*w + 8]', '[178, 178, 5*w + 3]', '[179, 179, -3*w^2 + 6*w + 10]', '[179, 179, -2*w^2 + 6*w - 3]', '[179, 179, -3*w^2 + 2*w + 20]', '[183, 183, -3*w^2 + 5*w + 7]', '[189, 21, -3*w + 6]', '[189, 189, 2*w^2 - 5*w - 12]', '[191, 191, 3*w - 4]', '[192, 12, 4*w^2 - 8*w - 8]', '[194, 194, 2*w^2 - 5*w - 7]', '[194, 194, -4*w^2 + 7*w + 11]', '[194, 194, -2*w^2 - 3*w + 3]', '[196, 14, -3*w^2 + 4*w + 9]', '[196, 98, w^2 + 3]', '[198, 66, -w^2 + 3*w - 4]', '[198, 198, -3*w^2 + w + 8]', '[199, 199, w^2 + 2*w - 4]', '[201, 201, -w^2 + w - 3]', '[202, 202, w^2 + 7*w + 8]', '[202, 202, 3*w + 7]', '[203, 203, 2*w^2 - 5*w + 2]', '[206, 206, w^2 - 5*w - 4]', '[212, 106, 3*w^2 - 10*w + 5]', '[216, 6, 6]', '[216, 54, -2*w + 8]', '[218, 218, -3*w^2 + 5*w + 6]', '[219, 219, -5*w^2 + 7*w + 19]', '[222, 222, -3*w^2 + 5*w + 4]', '[222, 222, w^2 - 3*w - 10]', '[222, 222, 4*w^2 - 11*w - 5]', '[223, 223, -w - 6]', '[223, 223, 3*w - 10]', '[223, 223, -7*w^2 + 14*w + 18]', '[224, 28, -2*w^2 + 4*w + 14]', '[226, 226, -3*w^2 - w + 8]', '[229, 229, -3*w^2 + 10*w - 2]', '[231, 231, -4*w^2 + 4*w + 15]', '[232, 58, -4*w + 2]', '[233, 233, 2*w^2 - 9]', '[233, 233, 2*w^2 - 5*w - 8]', '[233, 233, 3*w^2 - 5*w - 5]', '[236, 118, -5*w^2 + 10*w + 11]', '[241, 241, -w^2 + 5*w + 9]', '[242, 22, 2*w^2 + 3*w + 3]', '[242, 242, 2*w^2 - 5*w - 11]', '[243, 9, 3*w^2 - 6]', '[243, 27, 3*w^2 - 3*w - 9]', '[243, 243, 4*w^2 - 6*w - 13]', '[244, 122, -3*w^2 + 6*w + 11]', '[246, 246, 3*w^2 + w - 4]', '[249, 249, -3*w^2 + 4*w + 8]', '[250, 10, 5*w + 5]', '[252, 42, -w^2 + 11]', '[252, 126, 3*w^2 - 10*w + 1]', '[254, 254, -w^2 + w + 10]', '[256, 8, 4*w^2 - 8*w - 12]', '[257, 257, -3*w^2 + 10]', '[258, 258, -3*w^2 + 7*w + 8]', '[258, 258, -2*w^2 + 5*w + 9]', '[258, 258, -w + 7]', '[259, 259, -2*w^2 - 2*w + 5]', '[259, 259, -4*w^2 + 8*w + 7]', '[259, 259, w^2 + 3*w - 3]', '[261, 87, 4*w^2 - 3*w - 14]', '[261, 261, w^2 - 5*w - 5]', '[263, 263, 2*w^2 - 5*w - 10]', '[264, 66, 4*w - 10]', '[267, 267, -6*w^2 + 14*w + 7]', '[268, 134, w^2 + 2*w - 5]', '[269, 269, w^2 - 7*w + 11]', '[271, 271, -7*w^2 + 11*w + 25]', '[277, 277, -6*w^2 + 9*w + 22]', '[278, 278, -2*w^2 - w + 7]', '[283, 283, -5*w^2 + 11*w + 7]', '[283, 283, w^2 - 2*w - 10]', '[283, 283, -3*w^2 + w + 7]', '[287, 287, 3*w^2 - 2*w - 8]', '[288, 12, -2*w^2 + 10]', '[288, 36, 2*w^2 - 4*w + 2]', '[291, 291, -w^2 + 2*w - 4]', '[291, 291, 9*w^2 - 20*w - 16]', '[291, 291, w^2 - 4*w + 6]', '[292, 146, -7*w^2 + 10*w + 31]', '[293, 293, 6*w + 11]', '[294, 42, -w^2 - w - 4]', '[294, 294, w^2 - 5*w - 8]', '[296, 74, 4*w^2 - 8*w - 6]', '[296, 74, -2*w^2 + 6*w + 6]', '[296, 74, 4*w^2 - 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4]', '[1837, 1837, -8*w^2 + 2*w + 23]', '[1838, 1838, -6*w^2 - 3*w + 5]', '[1839, 1839, w^2 - 10*w + 18]', '[1841, 1841, 7*w^2 - 10*w - 22]', '[1844, 922, -5*w^2 + 2*w + 31]', '[1847, 1847, 5*w^2 - 4*w - 8]', '[1848, 462, -8*w^2 + 8*w + 30]', '[1849, 43, -6*w^2 + 10*w + 9]', '[1849, 43, -5*w^2 + 3*w + 9]', '[1849, 43, -w^2 - 6*w + 6]', '[1849, 1849, 3*w^2 - 13*w + 3]', '[1849, 1849, -4*w^2 - 5*w + 8]', '[1849, 1849, -7*w + 6]', '[1851, 1851, -5*w^2 + 2*w + 24]', '[1852, 926, -9*w^2 + 14*w + 41]', '[1854, 618, -5*w^2 - 9*w + 4]', '[1854, 1854, -2*w^2 - 5*w + 7]', '[1856, 116, -8*w + 4]', '[1864, 466, 4*w^2 - 18]', '[1864, 466, 4*w^2 - 10*w - 16]', '[1864, 466, 6*w^2 - 10*w - 10]', '[1866, 1866, -8*w^2 + 13*w + 37]', '[1868, 934, 3*w^2 + 2*w - 13]', '[1869, 1869, 2*w^2 + 4*w - 9]', '[1871, 1871, 7*w^2 - 6*w - 24]', '[1873, 1873, 3*w^2 + w - 17]', '[1874, 1874, -10*w^2 + 19*w + 25]', '[1876, 938, -w^2 + 4*w - 11]', '[1877, 1877, 2*w^2 + 3*w - 12]', '[1878, 1878, -4*w^2 + 7*w - 3]', '[1879, 1879, w^2 - 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16*w + 15]', '[1948, 974, -17*w^2 + 32*w + 47]', '[1949, 1949, -2*w^2 - 4*w + 25]', '[1949, 1949, 6*w^2 - 9*w - 14]', '[1949, 1949, w^2 + 5*w - 25]', '[1951, 1951, -w^2 - 8*w - 14]', '[1952, 244, -6*w^2 + 12*w + 22]', '[1956, 978, -5*w^2 + 18*w - 7]', '[1958, 1958, 2*w^2 + w + 7]', '[1959, 1959, 8*w^2 - 25*w + 2]', '[1959, 1959, -7*w + 16]', '[1959, 1959, -8*w^2 + 14*w + 21]', '[1961, 1961, 12*w^2 - 35*w - 2]', '[1961, 1961, -6*w^2 + 16*w - 3]', '[1961, 1961, -7*w^2 + 8*w + 24]', '[1962, 654, 10*w^2 - 9*w - 47]', '[1962, 1962, w - 13]', '[1966, 1966, -4*w^2 + 3*w - 3]', '[1968, 492, 6*w^2 + 2*w - 8]', '[1969, 1969, 11*w^2 - 25*w - 9]', '[1969, 1969, -4*w^2 + 2*w + 31]', '[1969, 1969, -8*w^2 + 15*w + 18]', '[1971, 219, 6*w^2 - 9*w - 36]', '[1971, 1971, 9*w^2 - 10*w - 50]', '[1977, 1977, 5*w^2 - 4*w - 34]', '[1979, 1979, -6*w^2 + 20*w - 3]', '[1981, 1981, 3*w^2 + w - 21]', '[1981, 1981, 3*w^2 + 3*w - 11]', '[1981, 1981, -4*w^2 + 10*w + 17]', '[1982, 1982, -8*w^2 + 15*w + 27]', '[1982, 1982, 2*w^2 + 5*w + 9]', '[1982, 1982, -4*w^2 + 11*w + 13]', '[1983, 1983, -10*w^2 + 22*w + 15]', '[1986, 1986, -9*w^2 + 19*w + 8]', '[1992, 498, -6*w^2 + 8*w + 16]', '[1993, 1993, -8*w^2 - 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19]', '[9797, 9797, 8*w^2 - 2*w - 37]', '[9797, 9797, 2*w^2 - 14*w + 29]', '[9797, 9797, -12*w^2 + 23*w + 18]', '[9797, 9797, 2*w^2 + 10*w - 11]', '[9801, 99, w^2 - 15*w + 7]', '[9801, 99, 6*w^2 - 24*w + 9]', '[9801, 891, 4*w^2 - 16*w - 27]', '[9801, 1089, 15*w^2 - 39*w - 21]', '[9801, 1089, 14*w^2 - 21*w - 46]', '[9801, 9801, -5*w^2 - 5*w + 19]', '[9806, 9806, -18*w^2 - 19*w + 15]', '[9807, 9807, -w^2 + 13*w - 15]', '[9808, 2452, 6*w + 22]', '[9811, 9811, 9*w^2 - 10*w - 18]', '[9811, 9811, 12*w^2 - 16*w - 39]', '[9811, 9811, -w^2 - 18]', '[9812, 4906, 5*w^2 - 16*w - 27]', '[9812, 4906, -3*w^2 + 2*w + 33]', '[9812, 4906, 3*w^2 - 18*w + 7]', '[9813, 9813, 18*w^2 - 17*w - 88]', '[9816, 2454, 6*w^2 - 22*w - 14]', '[9816, 2454, 8*w^2 - 18*w - 32]', '[9816, 2454, 8*w^2 - 6*w - 56]', '[9818, 9818, -17*w^2 + 29*w + 62]', '[9826, 34, 17*w + 17]', '[9829, 9829, 4*w^2 + 5*w - 20]', '[9831, 9831, -11*w + 20]', '[9832, 2458, 6*w^2 - 24*w + 8]', '[9832, 2458, 4*w^2 + 20*w + 26]', '[9832, 2458, -2*w^2 - 8*w + 32]', '[9833, 9833, 7*w^2 - 17*w - 31]', '[9833, 9833, -w^2 + 13*w - 17]', '[9833, 9833, 9*w^2 - 6*w - 20]', '[9834, 9834, 13*w^2 - 23*w - 32]', '[9836, 4918, -15*w^2 + 28*w + 49]', '[9837, 3279, -8*w^2 + 21*w + 22]', '[9837, 9837, -19*w^2 + 43*w + 15]', '[9839, 9839, 3*w^2 + 6*w - 34]', '[9846, 3282, -w^2 - 9*w + 20]', '[9846, 9846, 5*w^2 - 19*w - 40]', '[9847, 9847, 15*w^2 - 31*w - 13]', '[9847, 9847, -20*w^2 + 59*w + 8]', '[9847, 9847, 32*w^2 - 80*w - 23]', '[9849, 1407, -8*w^2 + 13*w + 52]', '[9849, 9849, -10*w^2 + 19]', '[9852, 4926, w^2 + 2*w - 27]', '[9852, 4926, -17*w^2 + 22*w + 91]', '[9852, 4926, -w^2 + 14*w - 25]', '[9853, 9853, -17*w^2 + 37*w + 27]', '[9856, 616, 4*w^2 + 4*w - 24]', '[9857, 9857, -2*w^2 + 7*w - 18]', '[9859, 9859, w^2 + 9*w - 21]', '[9862, 9862, 18*w^2 + 25*w - 11]', '[9863, 9863, 12*w^2 - 20*w - 71]', '[9863, 9863, 9*w - 32]', '[9863, 9863, 12*w^2 - 14*w - 41]', '[9866, 9866, -5*w^2 + 17*w + 34]', '[9866, 9866, 10*w^2 - 15*w - 21]', '[9866, 9866, -w^2 + 13*w - 16]', '[9871, 9871, 5*w^2 + 22*w + 14]', '[9872, 2468, 10*w^2 - 14*w - 24]', '[9874, 9874, 7*w^2 + 13*w + 12]', '[9876, 4938, -13*w^2 + 10*w + 63]', '[9879, 9879, 11*w^2 - 16*w - 10]', '[9879, 9879, -9*w^2 + 7*w + 11]', '[9879, 9879, -w^2 - 18*w - 14]', '[9881, 9881, -10*w^2 + 13*w + 26]', '[9882, 1098, 3*w^2 + 9*w - 12]', '[9882, 1098, 7*w^2 - 15*w - 50]', '[9882, 9882, 11*w - 17]', '[9883, 9883, -3*w^2 + 17*w + 29]', '[9884, 4942, -11*w^2 + 20*w + 53]', '[9886, 9886, 2*w^2 + 19*w + 13]', '[9886, 9886, 11*w^2 - 17*w - 28]', '[9886, 9886, 7*w^2 - w - 46]', '[9887, 9887, w^2 + 5*w - 31]', '[9888, 1236, 10*w^2 - 12*w - 10]', '[9897, 9897, -23*w^2 + 53*w + 33]', '[9898, 1414, w^2 + w + 18]', '[9898, 1414, -10*w^2 + 25*w + 23]', '[9898, 9898, -2*w^2 - w + 31]', '[9898, 9898, -7*w^2 + 17*w + 36]', '[9901, 9901, 9*w^2 - 4*w - 18]', '[9902, 9902, -5*w^2 - 9*w + 12]', '[9903, 9903, 7*w^2 - 20*w - 20]', '[9907, 9907, 12*w^2 - 23*w - 42]', '[9907, 9907, 3*w^2 - 18*w - 14]', '[9907, 9907, 2*w^2 - 5*w - 28]', '[9908, 4954, -15*w^2 + 30*w + 43]', '[9912, 2478, 2*w^2 - 4*w - 28]', '[9914, 9914, -11*w^2 + 19*w + 14]', '[9916, 4958, -5*w^2 + 16*w + 45]', '[9916, 4958, 9*w^2 - 10*w - 15]', '[9916, 4958, -9*w^2 + 26*w + 17]', '[9921, 9921, 13*w^2 - 40*w + 12]', '[9922, 902, 2*w^2 - 19*w + 3]', '[9922, 9922, 12*w^2 - 19*w - 33]', '[9923, 9923, 3*w^2 - 16*w - 24]', '[9923, 9923, 10*w^2 - 6*w - 27]', '[9923, 9923, -9*w^2 + 32*w - 12]', '[9924, 4962, -7*w^2 + 16*w + 51]', '[9924, 4962, -9*w^2 + 10*w + 17]', '[9924, 4962, -w^2 + 6*w + 25]', '[9926, 9926, -12*w^2 + 31*w + 21]', '[9927, 3309, -7*w^2 + 24*w + 56]', '[9927, 9927, -15*w^2 + 25*w + 77]', '[9931, 9931, 2*w^2 - 8*w - 29]', '[9931, 9931, -13*w^2 + 25*w + 43]', '[9931, 9931, 14*w^2 - 18*w - 51]', '[9933, 9933, -9*w^2 + 5*w + 19]', '[9933, 9933, -3*w^2 - 8*w + 14]', '[9933, 9933, -8*w^2 - 7*w + 18]', '[9934, 9934, 4*w^2 + 5*w - 41]', '[9938, 9938, -11*w + 19]', '[9938, 9938, -13*w^2 + 3*w + 36]', '[9938, 9938, -12*w^2 - 15*w + 13]', '[9942, 9942, -3*w^2 - 5*w + 44]', '[9943, 9943, 6*w^2 + 12*w + 13]', '[9944, 2486, 16*w^2 - 14*w - 76]', '[9947, 203, 14*w - 7]', '[9947, 9947, 9*w^2 - 8*w - 20]', '[9949, 9949, -4*w^2 - 2*w - 11]', '[9952, 1244, 2*w^2 - 30]', '[9953, 9953, -25*w^2 + 56*w + 42]', '[9953, 9953, -5*w^2 - 2*w + 30]', '[9953, 9953, 11*w - 18]', '[9961, 9961, 16*w^2 - 25*w - 70]', '[9961, 9961, 17*w^2 - 28*w - 54]', '[9961, 9961, -5*w^2 + 23*w - 19]', '[9963, 369, 6*w^2 - 18*w - 21]', '[9963, 1107, 12*w^2 - 27*w - 30]', '[9963, 9963, -10*w^2 + 3*w + 40]', '[9966, 9966, -15*w^2 + 29*w + 46]', '[9967, 9967, -21*w^2 + 31*w + 79]', '[9968, 2492, -10*w^2 + 14*w + 12]', '[9969, 9969, 6*w^2 - 7*w - 44]', '[9972, 1662, -11*w^2 + 18*w + 25]', '[9972, 4986, 3*w^2 - 14*w - 37]', '[9973, 9973, -16*w^2 + 33*w + 42]', '[9974, 9974, -8*w^2 - w + 29]', '[9976, 2494, -4*w^2 + 16*w + 22]', '[9976, 2494, -8*w^2 + 22*w + 20]', '[9976, 2494, 2*w^2 - 4*w + 16]', '[9977, 9977, -25*w^2 + 61*w + 23]', '[9978, 9978, 9*w^2 - 7*w - 20]', '[9978, 9978, -10*w^2 - w + 17]', '[9978, 9978, -15*w^2 + 17*w + 58]', '[9981, 3327, 4*w^2 - 21*w + 4]', '[9981, 9981, -2*w^2 - 19*w - 18]', '[9983, 9983, 14*w^2 - 23*w - 68]', '[9986, 9986, -12*w^2 - 11*w + 19]', '[9989, 9989, -6*w^2 + 19*w - 14]', '[9989, 9989, -13*w^2 + 13*w + 47]', '[9989, 9989, -22*w^2 + 29*w + 114]', '[9991, 9991, 11*w^2 - 19*w - 21]', '[9991, 9991, 9*w^2 - 9*w - 13]', '[9991, 9991, 11*w^2 - 8*w - 34]', '[9993, 9993, -18*w^2 + 41*w + 22]', '[9998, 9998, w^2 + 7*w + 20]', '[9999, 3333, -16*w^2 + 12*w + 59]', '[9999, 3333, -19*w^2 + 3*w + 59]', '[9999, 9999, -20*w^2 + 23*w + 84]', '[9999, 9999, -20*w^2 + 16*w + 85]'], 'label': '3.3.404.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w - 1]', '[3, 3, w^2 - 2*w - 2]', '[7, 7, -w + 2]', '[9, 3, w^2 - 2]', '[11, 11, -w^2 + 2*w + 4]', '[29, 29, -2*w + 1]', '[37, 37, 2*w^2 - 4*w - 3]', '[37, 37, -w^2 + 3*w + 3]', '[37, 37, 2*w^2 - w - 8]', '[41, 41, w^2 - 4*w + 2]', '[43, 43, -2*w^2 + 2*w + 7]', '[43, 43, -2*w^2 + 3*w + 6]', '[43, 43, -w^2 + 6]', '[49, 7, w^2 + w - 3]', '[53, 53, 2*w^2 - 5*w - 4]', '[59, 59, 2*w - 3]', '[61, 61, -w - 4]', '[67, 67, -2*w^2 - w + 2]', '[73, 73, 2*w^2 - 3*w - 12]', '[83, 83, -2*w - 5]', '[89, 89, -w^2 + 2*w - 2]', '[97, 97, -2*w + 7]', '[97, 97, -2*w^2 + 3]', '[97, 97, 2*w^2 - 2*w - 5]', '[101, 101, w^2 - 3*w - 9]', '[101, 101, 2*w^2 - 4*w - 9]', '[103, 103, w^2 - 3*w + 3]', '[109, 109, -w^2 + 4*w + 8]', '[113, 113, 3*w^2 - 3*w - 11]', '[121, 11, w^2 - 4*w - 4]', '[125, 5, -5]', '[127, 127, 4*w^2 - 7*w - 14]', '[139, 139, 3*w^2 - 4*w - 10]', '[149, 149, w - 6]', '[151, 151, -w^2 - w + 9]', '[163, 163, -w^2 - w - 3]', '[167, 167, -3*w^2 - 2*w + 6]', '[173, 173, w^2 + w - 7]', '[179, 179, -3*w^2 + 6*w + 10]', '[179, 179, -2*w^2 + 6*w - 3]', '[179, 179, -3*w^2 + 2*w + 20]', '[191, 191, 3*w - 4]', '[199, 199, w^2 + 2*w - 4]', '[223, 223, -w - 6]', '[223, 223, 3*w - 10]', '[223, 223, -7*w^2 + 14*w + 18]', '[229, 229, -3*w^2 + 10*w - 2]', '[233, 233, 2*w^2 - 9]', '[233, 233, 2*w^2 - 5*w - 8]', '[233, 233, 3*w^2 - 5*w - 5]', '[241, 241, -w^2 + 5*w + 9]', '[257, 257, -3*w^2 + 10]', '[263, 263, 2*w^2 - 5*w - 10]', '[269, 269, w^2 - 7*w + 11]', '[271, 271, -7*w^2 + 11*w + 25]', '[277, 277, -6*w^2 + 9*w + 22]', '[283, 283, -5*w^2 + 11*w + 7]', '[283, 283, w^2 - 2*w - 10]', '[283, 283, -3*w^2 + w + 7]', '[293, 293, 6*w + 11]', '[311, 311, -w^2 + 5*w + 7]', '[313, 313, 4*w - 3]', '[331, 331, -3*w^2 + 9*w + 5]', '[337, 337, 4*w^2 - 7*w - 20]', '[347, 347, 3*w^2 - w - 13]', '[349, 349, 3*w^2 - 3*w - 7]', '[353, 353, -3*w^2 + 7*w + 9]', '[379, 379, 2*w - 9]', '[379, 379, -4*w + 9]', '[379, 379, -4*w^2 + 11*w + 6]', '[383, 383, 4*w^2 - 8*w - 13]', '[383, 383, 2*w^2 + w - 8]', '[383, 383, 3*w^2 - 3*w - 5]', '[389, 389, 3*w^2 - 2*w - 6]', '[397, 397, -6*w^2 + 13*w + 10]', '[401, 401, w^2 - w - 11]', '[409, 409, -5*w^2 + 5*w + 19]', '[409, 409, -2*w^2 - 5*w + 2]', '[409, 409, -3*w^2 - w + 9]', '[419, 419, w^2 - 12]', '[431, 431, 3*w^2 + 5*w - 3]', '[433, 433, w^2 + 2*w - 10]', '[439, 439, 4*w - 5]', '[443, 443, 4*w^2 - 7*w - 8]', '[457, 457, w^2 + 7*w + 5]', '[461, 461, 4*w^2 - 4*w - 13]', '[463, 463, 2*w^2 - 5*w - 16]', '[467, 467, 2*w^2 + 2*w - 21]', '[479, 479, 2*w^2 - 6*w - 9]', '[487, 487, w^2 + 3*w - 15]', '[503, 503, -3*w^2 + 10*w - 6]', '[509, 509, 4*w^2 - 5*w - 12]', '[509, 509, 5*w^2 - 7*w - 17]', '[509, 509, 3*w^2 - w - 15]', '[523, 523, 3*w^2 - 8*w - 8]', '[547, 547, 5*w^2 - 6*w - 18]', '[557, 557, -w^2 - 2*w + 16]', '[557, 557, -2*w^2 + 5*w - 4]', '[557, 557, 8*w^2 - 13*w - 30]', '[571, 571, -6*w^2 + 11*w + 20]', '[577, 577, -6*w^2 + 12*w + 17]', '[593, 593, w^2 + 4*w - 4]', '[593, 593, 6*w^2 - 4*w - 25]', '[593, 593, -2*w^2 - 3*w + 24]', '[599, 599, 4*w^2 - 6*w - 9]', '[613, 613, 4*w^2 - 8*w - 15]', '[617, 617, -5*w + 12]', '[641, 641, 5*w - 4]', '[647, 647, 2*w^2 + w - 16]', '[653, 653, 3*w^2 - 7*w - 13]', '[653, 653, 3*w^2 - 9*w - 7]', '[653, 653, w^2 - 2*w - 12]', '[659, 659, -6*w^2 + 6*w + 23]', '[661, 661, -w^2 + 2*w - 6]', '[673, 673, -2*w^2 + 7*w + 14]', '[683, 683, 4*w^2 - 4*w - 11]', '[683, 683, -2*w^2 - 3*w + 6]', '[683, 683, -5*w^2 - 2*w + 12]', '[691, 691, -5*w^2 - 4*w + 4]', '[691, 691, 6*w^2 - 4*w - 21]', '[691, 691, 4*w^2 - 5*w - 10]', '[709, 709, 8*w + 11]', '[719, 719, -2*w - 9]', '[733, 733, -w^2 + 4*w - 8]', '[739, 739, 4*w^2 - w - 16]', '[751, 751, -w^2 - 6]', '[757, 757, w^2 - 7*w - 7]', '[761, 761, 2*w^2 + w - 14]', '[761, 761, -10*w^2 + 16*w + 35]', '[761, 761, 5*w^2 - 2*w - 34]', '[769, 769, -4*w^2 - w + 12]', '[773, 773, 4*w^2 - w - 8]', '[797, 797, -3*w^2 + 22]', '[809, 809, w^2 + 7*w + 11]', '[809, 809, 4*w^2 - 8*w - 19]', '[809, 809, 5*w^2 - 7*w - 29]', '[811, 811, 3*w^2 + w - 11]', '[821, 821, 5*w^2 - 9*w - 21]', '[821, 821, -9*w^2 + 14*w + 32]', '[821, 821, -11*w^2 + 20*w + 34]', '[823, 823, 5*w^2 - 7*w - 15]', '[827, 827, w^2 + w - 15]', '[827, 827, 2*w^2 - 8*w - 7]', '[827, 827, 2*w^2 - 7*w - 12]', '[839, 839, 2*w^2 + 2*w - 9]', '[839, 839, 5*w - 6]', '[839, 839, w^2 - w - 13]', '[841, 29, -2*w^2 + w - 4]', '[853, 853, 3*w^2 - 14]', '[853, 853, 2*w^2 - w - 18]', '[853, 853, 2*w^2 - 2*w - 17]', '[859, 859, -3*w^2 + 11*w - 9]', '[863, 863, -w^2 + 7*w - 5]', '[877, 877, -3*w - 10]', '[881, 881, w^2 + 10*w + 12]', '[883, 883, 6*w^2 - 7*w - 22]', '[887, 887, 6*w^2 - 8*w - 21]', '[887, 887, -9*w^2 + 19*w + 21]', '[887, 887, -6*w^2 + 11*w + 14]', '[907, 907, 4*w^2 - 14*w + 9]', '[911, 911, 4*w^2 - 4*w - 7]', '[919, 919, w^2 + 4*w - 6]', '[937, 937, -4*w^2 + 2*w + 7]', '[941, 941, 4*w^2 - 3*w - 6]', '[947, 947, 2*w^2 - 4*w - 17]', '[953, 953, 2*w^2 + 6*w - 3]', '[971, 971, -3*w^2 - w + 29]', '[983, 983, -5*w^2 + 14*w + 8]', '[991, 991, 2*w^2 + 4*w - 29]', '[991, 991, -6*w^2 + w + 16]', '[991, 991, 3*w^2 - 8*w - 12]']}
10. label: 3.3.469.1
    {'degree': 3, 'discriminant': 469, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 2]', '[4, 2, -w^2 - w + 3]', '[4, 4, -w]', '[7, 7, w + 1]', '[7, 7, -w + 3]', '[8, 2, 2]', '[8, 8, -w^2 + w + 4]', '[11, 11, -w^2 + 3]', '[14, 14, w^2 - 2]', '[14, 14, -w^2 + w + 2]', '[16, 4, -2*w + 4]', '[16, 4, w^2 - w - 5]', '[16, 16, w^2 + w - 4]', '[17, 17, w + 3]', '[19, 19, w^2 - 7]', '[22, 22, -w^2 + 2*w + 2]', '[27, 3, 3]', '[28, 14, w^2 + w - 7]', '[28, 14, -w^2 - w + 5]', '[28, 28, -2*w^2 + w + 8]', '[28, 28, -w^2 - w]', '[32, 4, -2*w^2 - 2*w + 6]', '[32, 8, -2*w]', '[32, 32, w - 4]', '[34, 34, -w^2 - w + 6]', '[38, 38, -2*w^2 - w + 6]', '[43, 43, -2*w - 5]', '[44, 22, w^2 + w - 9]', '[44, 44, w^2 + 2*w - 4]', '[47, 47, 2*w + 3]', '[49, 7, w^2 + 2*w + 1]', '[49, 7, -w^2 + 2*w + 3]', '[49, 49, -2*w - 1]', '[53, 53, 3*w^2 + 2*w - 9]', '[54, 6, -3*w + 6]', '[56, 14, 2*w + 2]', '[56, 14, -2*w + 6]', '[56, 56, -w - 4]', '[56, 56, -w^2 + 8]', '[59, 59, 2*w^2 + w - 5]', '[61, 61, 3*w - 1]', '[61, 61, 2*w^2 + w - 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10]', '[166, 166, w^2 + 3*w - 6]', '[167, 167, 2*w^2 + 3*w - 7]', '[172, 86, -5*w^2 + w + 23]', '[172, 172, w^2 + 2*w - 12]', '[173, 173, 3*w^2 - 11]', '[176, 44, w^2 - w + 3]', '[176, 44, -2*w^2 + 4*w + 4]', '[176, 176, -3*w - 4]', '[178, 178, -w^2 + 8*w - 14]', '[179, 179, 2*w^2 + 2*w - 9]', '[181, 181, 3*w^2 - 6*w - 1]', '[187, 187, -2*w^2 - 5*w + 3]', '[188, 94, 3*w^2 + w - 17]', '[188, 188, -3*w^2 + 6*w + 4]', '[189, 21, 3*w + 3]', '[189, 21, -3*w + 9]', '[191, 191, 4*w^2 + w - 15]', '[194, 194, -3*w^2 + 12*w - 10]', '[194, 194, 3*w^2 - 2*w - 10]', '[194, 194, 3*w^2 - 4*w - 6]', '[196, 14, 3*w^2 - w - 11]', '[196, 14, -3*w^2 - w + 9]', '[196, 28, -3*w^2 - w + 16]', '[196, 28, w^2 - 5*w + 8]', '[196, 98, -w^2 - 3*w + 11]', '[196, 196, 3*w^2 + 2*w - 12]', '[197, 197, 2*w^2 - 3*w - 7]', '[199, 199, -3*w^2 + 4*w + 9]', '[206, 206, -3*w^2 - 3*w + 10]', '[209, 209, -w^2 + 4*w + 1]', '[212, 106, -3*w^2 + w + 19]', '[212, 212, 3*w^2 - 3*w - 8]', '[214, 214, w^2 - 10]', '[214, 214, -w^2 - 4*w + 6]', '[214, 214, 2*w^2 - 5*w - 2]', '[216, 6, 6]', '[216, 24, -3*w^2 + 3*w + 12]', '[218, 218, -5*w^2 + 8*w + 10]', '[223, 223, -2*w^2 - 5*w + 1]', '[224, 28, 2*w^2 + 2*w - 14]', '[224, 28, -2*w^2 - 2*w + 10]', '[224, 56, -4*w^2 + 2*w + 16]', '[224, 56, -2*w^2 - 2*w]', '[224, 224, w^2 + 4*w]', '[224, 224, w^2 - 3*w - 4]', '[226, 226, -w^2 + 6*w - 10]', '[227, 227, 5*w - 13]', '[233, 233, -w^2 - 2*w - 3]', '[236, 118, -5*w^2 - 9*w + 5]', '[236, 236, -3*w^2 - 5*w + 8]', '[238, 238, 4*w^2 + 3*w - 10]', '[238, 238, -3*w^2 + 10]', '[239, 239, -2*w^2 - 4*w + 7]', '[241, 241, -w^2 - 3]', '[242, 22, 3*w^2 - 7*w - 2]', '[242, 242, -w^2 - 3*w + 10]', '[244, 122, -5*w^2 - 5*w + 9]', '[244, 122, -w^2 - 5*w - 7]', '[244, 122, w^2 - 3*w - 9]', '[244, 244, -3*w^2 + w]', '[244, 244, -w^2 - 3*w + 8]', '[244, 244, -3*w^2 - w + 8]', '[250, 10, 5*w - 10]', '[256, 8, -4*w^2 - 4*w + 12]', '[256, 16, -4*w]', '[256, 16, w^2 + 3*w - 9]', '[256, 64, 2*w - 8]', '[256, 256, w^2 + 3*w + 4]', '[257, 257, 2*w^2 + 2*w - 11]', '[262, 262, 4*w^2 - 11*w + 2]', '[263, 263, 2*w^2 + 2*w - 13]', '[263, 263, 4*w^2 - 7*w - 5]', '[263, 263, w - 7]', '[266, 266, 4*w^2 - 3*w - 14]', '[266, 266, -3*w^2 + w + 10]', '[268, 134, -w^2 - w - 3]', '[268, 134, -7*w^2 + w + 33]', '[268, 268, 2*w^2 - 3*w - 8]', '[268, 268, 2*w^2 + w - 16]', '[269, 269, -2*w^2 - 5*w + 7]', '[272, 68, -3*w^2 - w + 7]', '[272, 68, -2*w^2 - 2*w + 12]', '[272, 272, -5*w^2 + 3*w + 20]', '[274, 274, -3*w^2 - w + 6]', '[277, 277, 5*w - 7]', '[277, 277, -4*w - 7]', '[277, 277, 3*w^2 - 2*w - 9]', '[281, 281, 2*w^2 - 4*w - 5]', '[283, 283, 3*w^2 + 2*w - 13]', '[289, 17, w^2 - 4*w + 7]', '[289, 289, -3*w^2 + 4*w + 5]', '[292, 146, -3*w^2 - 5*w + 1]', '[292, 292, -3*w^2 + 4]', '[293, 293, 6*w - 13]', '[297, 33, -3*w^2 + 9]', '[298, 298, 3*w^2 - 5*w - 2]', '[298, 298, w^2 - 3*w - 6]', '[298, 298, -w^2 + 4*w + 2]', '[301, 301, 2*w^2 - w - 15]', '[301, 301, -4*w^2 + 25]', '[304, 76, -4*w^2 - 2*w + 12]', '[304, 76, 3*w^2 - 3*w - 7]', '[304, 304, -w^2 + w - 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17]', '[361, 361, w^2 + 4*w - 13]', '[362, 362, 2*w^2 - w + 2]', '[371, 371, 4*w^2 - 15]', '[371, 371, -5*w^2 + 2*w + 21]', '[373, 373, 3*w^2 - 7]', '[374, 374, -2*w^2 + 3*w + 10]', '[376, 94, 4*w + 6]', '[376, 376, w^2 + 4*w - 8]', '[378, 42, 3*w^2 - 6]', '[378, 42, -3*w^2 + 3*w + 6]', '[379, 379, 7*w^2 + 4*w - 25]', '[382, 382, 3*w^2 - 3*w - 14]', '[388, 194, 3*w^2 + 5*w - 9]', '[388, 194, -5*w^2 - w + 29]', '[388, 194, 5*w^2 + 3*w - 15]', '[388, 388, -w^2 + 8*w - 4]', '[388, 388, 5*w^2 - 9*w - 8]', '[388, 388, w^2 + 4]', '[389, 389, w^2 - 4*w - 3]', '[389, 389, -5*w^2 - 10*w + 1]', '[389, 389, 5*w^2 + 2*w - 21]', '[392, 14, 2*w^2 + 4*w + 2]', '[392, 14, -2*w^2 + 4*w + 6]', '[392, 56, -w^2 - 5*w - 4]', '[392, 56, -2*w^2 + 3*w + 12]', '[392, 98, -4*w - 2]', '[392, 392, w^2 + w - 12]', '[394, 394, 5*w^2 - 9*w - 6]', '[397, 397, 2*w^2 - 3*w - 11]', '[398, 398, -7*w^2 + 14*w + 6]', '[401, 401, 4*w^2 + 2*w - 11]', '[412, 206, w^2 + 5*w - 1]', '[412, 412, -w + 8]', '[413, 413, 5*w^2 + 6*w - 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7*w - 3]', '[448, 56, -w^2 + 5*w + 1]', '[448, 112, -2*w - 8]', '[448, 112, -2*w^2 + 16]', '[448, 448, -5*w^2 - 7*w + 12]', '[448, 448, -3*w^2 + 3*w + 4]', '[452, 226, -w^2 - 3*w - 5]', '[452, 452, -3*w^2 + 2*w + 4]', '[454, 454, -3*w^2 + 2*w + 6]', '[459, 51, 3*w + 9]', '[461, 461, 5*w^2 - 4*w - 21]', '[463, 463, 2*w^2 + 3*w - 11]', '[466, 466, w^2 + 4*w - 10]', '[467, 467, 5*w^2 + 10*w - 3]', '[469, 469, 3*w^2 - 2*w - 5]', '[469, 469, 3*w^2 - 2*w - 21]', '[469, 469, w^2 - 4*w - 11]', '[469, 469, -6*w^2 + w + 35]', '[472, 118, 4*w^2 + 2*w - 10]', '[472, 472, 3*w^2 + 2*w - 16]', '[473, 473, -6*w^2 - w + 35]', '[476, 238, w^2 - w + 5]', '[476, 238, -3*w^2 - 3*w + 1]', '[476, 476, w^2 - 4*w - 4]', '[476, 476, -3*w^2 + 5*w + 8]', '[478, 478, 2*w^2 - 5*w + 6]', '[479, 479, -2*w^2 - 6*w - 1]', '[482, 482, -w^2 + 8*w - 10]', '[484, 22, -w^2 - 5*w - 3]', '[484, 44, -w^2 - 5*w + 8]', '[484, 242, 5*w^2 - 3*w - 19]', '[484, 484, -w^2 - 5*w]', '[487, 487, -3*w^2 + 8*w + 1]', '[488, 122, 6*w - 2]', '[488, 122, 4*w^2 + 2*w - 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6*w - 1]', '[487, 487, -3*w^2 + 8*w + 1]', '[491, 491, 3*w^2 + 2*w - 17]', '[491, 491, 5*w + 9]', '[491, 491, -6*w^2 - 10*w + 5]', '[499, 499, 4*w^2 - 5*w - 13]', '[503, 503, 2*w^2 - 4*w - 7]', '[503, 503, 2*w^2 + 3*w - 15]', '[503, 503, 7*w - 15]', '[509, 509, 4*w^2 - 10*w - 1]', '[523, 523, 6*w^2 + 6*w - 17]', '[541, 541, 6*w^2 + 5*w - 19]', '[547, 547, -4*w^2 - 6*w + 11]', '[593, 593, 2*w^2 + 5*w - 9]', '[593, 593, 4*w^2 + 2*w - 25]', '[593, 593, -w^2 - 2*w - 5]', '[599, 599, 4*w^2 + 2*w - 19]', '[601, 601, 4*w^2 - 13]', '[607, 607, w - 9]', '[619, 619, -5*w - 1]', '[631, 631, 2*w^2 + 2*w - 19]', '[641, 641, w^2 - 4*w - 9]', '[643, 643, 2*w^2 - 5*w - 5]', '[653, 653, w^2 - 4*w - 7]', '[673, 673, 4*w^2 - w - 13]', '[683, 683, -2*w^2 - 8*w - 9]', '[691, 691, 2*w^2 + 4*w - 11]', '[701, 701, 2*w^2 - 4*w - 9]', '[719, 719, 4*w^2 + w - 9]', '[739, 739, 5*w^2 - 2*w - 19]', '[751, 751, 3*w^2 - 4*w - 13]', '[751, 751, w^2 + 6*w - 1]', '[751, 751, w^2 - 13]', '[757, 757, -3*w^2 - 8*w - 1]', '[761, 761, -w - 9]', '[769, 769, 6*w^2 + 3*w - 19]', '[769, 769, -w^2 + 2*w - 7]', '[769, 769, 4*w^2 - 4*w - 9]', '[773, 773, 6*w^2 - 2*w - 25]', '[787, 787, 5*w^2 + 2*w - 15]', '[787, 787, 6*w + 11]', '[787, 787, -5*w - 7]', '[797, 797, 6*w^2 + 2*w - 21]', '[809, 809, w^2 - 6*w - 1]', '[827, 827, 3*w^2 - 6*w - 7]', '[827, 827, 2*w^2 - 4*w - 11]', '[827, 827, -2*w^2 - 3*w - 3]', '[829, 829, 2*w^2 + 4*w - 17]', '[839, 839, 6*w^2 + 13*w - 1]', '[853, 853, -2*w^2 - w - 3]', '[857, 857, 2*w^2 + 4*w - 13]', '[857, 857, 7*w^2 + 6*w - 17]', '[857, 857, 4*w^2 - 7*w - 9]', '[859, 859, 4*w^2 - 7]', '[881, 881, 4*w^2 - w - 11]', '[883, 883, -2*w^2 + 9*w - 13]', '[887, 887, -2*w^2 - 2*w - 3]', '[919, 919, 2*w^2 + 4*w - 15]', '[941, 941, 6*w^2 - 9*w - 11]', '[941, 941, 6*w^2 - 4*w - 29]', '[941, 941, 4*w^2 - 5*w - 3]', '[971, 971, 4*w^2 - 3*w - 9]', '[983, 983, 6*w - 17]', '[983, 983, 3*w^2 - 4*w - 17]', '[983, 983, -2*w^2 + 10*w - 15]', '[991, 991, 4*w^2 - 4*w - 7]', '[997, 997, 5*w^2 - 6*w - 17]']}
11. label: 3.3.473.1
    {'degree': 3, 'discriminant': 473, 'ideals': ['[1, 1, 1]', '[3, 3, w + 1]', '[5, 5, w - 1]', '[8, 2, 2]', '[9, 3, -w^2 + w + 4]', '[9, 9, -w^2 + w + 2]', '[11, 11, -w^2 + 3]', '[11, 11, -w^2 - w + 1]', '[13, 13, w + 3]', '[15, 15, w^2 - w - 5]', '[17, 17, -w^2 + 2]', '[24, 6, 2*w + 2]', '[25, 5, w^2 + w - 4]', '[25, 25, 2*w + 3]', '[27, 3, 3]', '[27, 27, -2*w + 1]', '[33, 33, -w^2 + 2*w + 3]', '[33, 33, -w^2 - 2*w + 2]', '[37, 37, w^2 + w - 5]', '[39, 39, -w^2 - w + 6]', '[40, 10, 2*w - 2]', '[41, 41, 2*w^2 + w - 6]', '[43, 43, w^2 - 3*w - 2]', '[43, 43, -w + 4]', '[45, 15, 2*w^2 - 2*w - 5]', '[45, 45, -w - 4]', '[51, 51, -w^2 + w + 8]', '[55, 55, 2*w^2 - 7]', '[55, 55, w^2 - 2*w - 4]', '[64, 4, 4]', '[65, 65, w^2 + 2*w - 3]', '[71, 71, w^2 - 8]', '[72, 6, -2*w^2 + 2*w + 8]', '[72, 18, -2*w^2 + 2*w + 4]', '[73, 73, 3*w + 5]', '[73, 73, w^2 - 2*w - 5]', '[73, 73, w^2 - 2*w - 7]', '[75, 15, 2*w^2 + 2*w - 3]', '[75, 75, -2*w^2 + w + 6]', '[79, 79, 2*w^2 + w - 9]', '[81, 9, -2*w^2 - w + 5]', '[81, 9, 3*w + 3]', '[81, 81, -w^2 + 2*w + 6]', '[83, 83, 3*w^2 - 2*w - 13]', '[85, 85, w^2 - 3*w - 3]', '[88, 22, -2*w^2 + 6]', '[88, 22, -2*w^2 - 2*w + 2]', '[89, 89, -w^2 - 2*w + 9]', '[99, 33, w^2 - w + 2]', '[99, 33, -w^2 - 2*w + 4]', '[99, 99, -2*w^2 - w + 10]', '[99, 99, -w + 5]', '[101, 101, -w - 5]', '[103, 103, 2*w^2 - 2*w - 9]', '[103, 103, 2*w^2 - w - 13]', '[103, 103, 2*w^2 - w - 5]', '[104, 26, 2*w + 6]', '[107, 107, w^2 - 2*w - 10]', '[109, 109, 2*w^2 - 13]', '[111, 111, 2*w^2 + w - 4]', '[113, 113, -w^2 - 2*w - 3]', '[117, 39, -2*w^2 + 2*w + 11]', '[117, 117, -2*w^2 + 5]', '[120, 30, 2*w^2 - 2*w - 10]', '[121, 11, -3*w^2 + 2*w + 10]', '[121, 11, -2*w^2 + w + 4]', '[121, 121, -w^2 + w + 9]', '[123, 123, 3*w^2 + 5*w - 4]', '[125, 5, 5]', '[125, 125, 2*w^2 + w - 3]', '[127, 127, -3*w^2 - w + 10]', '[129, 129, -w^2 + 3*w + 4]', '[129, 129, -2*w^2 - 1]', '[135, 15, 3*w - 3]', '[135, 135, w^2 + 2*w - 8]', '[136, 34, -2*w^2 + 4]', '[137, 137, 2*w^2 + 2*w - 7]', '[139, 139, 2*w^2 - 3]', '[143, 143, -3*w + 4]', '[143, 143, -w^2 + 9]', '[149, 149, -3*w^2 + 11]', '[149, 149, 3*w^2 - w - 11]', '[149, 149, w^2 + 2*w - 6]', '[153, 51, -w^2 - 2*w + 7]', '[153, 153, w^2 - 2*w + 3]', '[157, 157, -3*w^2 + 3*w + 11]', '[163, 163, w^2 + 3*w - 3]', '[165, 165, 2*w^2 + 3*w - 5]', '[165, 165, -w^2 - w - 3]', '[167, 167, 2*w^2 - 3*w - 7]', '[169, 13, -w^2 + 3*w - 4]', '[169, 169, -w^2 + 3*w + 5]', '[173, 173, -w^2 + 5*w - 1]', '[179, 179, -3*w - 8]', '[185, 185, -w + 6]', '[187, 187, w + 6]', '[187, 187, -3*w^2 + 3*w + 7]', '[191, 191, -w^2 + w - 3]', '[192, 12, 4*w + 4]', '[193, 193, -w^2 - 3]', '[195, 195, 2*w - 7]', '[197, 197, -3*w^2 + 2*w + 9]', '[199, 199, w^2 - 3*w - 6]', '[200, 10, 2*w^2 + 2*w - 8]', '[200, 50, 4*w + 6]', '[205, 205, -w^2 + 3*w + 8]', '[211, 211, 2*w^2 - w - 14]', '[211, 211, -4*w - 5]', '[211, 211, -2*w - 7]', '[213, 213, w^2 - 3*w - 7]', '[215, 215, -w^2 + 5*w - 4]', '[215, 215, -4*w^2 + 6*w + 3]', '[216, 6, 6]', '[216, 54, -4*w + 2]', '[219, 219, -w^2 - 2*w - 4]', '[219, 219, -w^2 - 4*w - 6]', '[219, 219, 3*w^2 + 8*w + 5]', '[221, 221, w^2 - 5*w + 2]', '[223, 223, 3*w^2 - 10]', '[225, 15, 4*w^2 - w - 16]', '[225, 45, 2*w^2 - 3*w - 8]', '[225, 75, -w^2 + w + 10]', '[225, 225, -w^2 - 3*w + 4]', '[237, 237, 3*w^2 + 2*w - 7]', '[239, 239, w^2 - 2*w - 11]', '[243, 9, -3*w^2 + 3*w + 12]', '[243, 27, -3*w^2 + 3*w + 6]', '[243, 243, w^2 + 3*w + 5]', '[249, 249, w^2 - 10]', '[255, 255, 2*w^2 + 2*w - 9]', '[257, 257, 2*w^2 + 3*w - 6]', '[264, 66, -2*w^2 + 4*w + 6]', '[264, 66, -2*w^2 - 4*w + 4]', '[267, 267, -3*w^2 + 2*w + 8]', '[271, 271, -w^2 + 2*w - 4]', '[275, 55, 2*w^2 - 3*w - 13]', '[275, 55, -w^2 - 6*w - 6]', '[275, 275, -3*w^2 + 3*w + 5]', '[275, 275, -2*w^2 + 3*w + 9]', '[277, 277, 4*w^2 - 3*w - 17]', '[277, 277, w^2 + 2*w - 12]', '[277, 277, 4*w - 3]', '[281, 281, 4*w^2 + w - 14]', '[283, 283, w^2 + 3*w - 5]', '[289, 17, 3*w^2 - w - 9]', '[289, 289, w^2 + w + 4]', '[293, 293, -3*w^2 - 2*w + 12]', '[296, 74, 2*w^2 + 2*w - 10]', '[297, 33, -3*w^2 + 9]', '[297, 33, -3*w^2 - 3*w + 3]', '[297, 297, -w^2 + 4*w + 5]', '[297, 297, -3*w^2 - w + 8]', '[303, 303, -w^2 - 6*w - 5]', '[307, 307, w - 7]', '[309, 309, -w - 7]', '[309, 309, w^2 - 4*w - 11]', '[309, 309, w^2 + 4*w - 3]', '[311, 311, 4*w^2 - 15]', '[311, 311, 2*w^2 - 3*w - 10]', '[311, 311, w^2 + w - 11]', '[312, 78, -2*w^2 - 2*w + 12]', '[313, 313, -2*w^2 - 2*w + 17]', '[317, 317, 3*w^2 - 3*w - 13]', '[317, 317, 2*w^2 - 3*w - 12]', '[317, 317, 2*w^2 + 2*w - 11]', '[320, 20, 4*w - 4]', '[321, 321, -w^2 - 7*w - 9]', '[325, 65, 4*w^2 + 4*w - 11]', '[325, 325, w^2 + 4]', '[327, 327, 2*w^2 - 3*w - 11]', '[328, 82, 4*w^2 + 2*w - 12]', '[331, 331, w^2 + 3*w - 6]', '[333, 111, 5*w^2 - 2*w - 20]', '[333, 333, 3*w^2 - 4*w - 10]', '[337, 337, 4*w^2 - w - 15]', '[339, 339, -3*w^2 - 10*w - 4]', '[343, 7, -7]', '[344, 86, 2*w^2 - 6*w - 4]', '[344, 86, -2*w + 8]', '[351, 39, 3*w + 9]', '[351, 351, -2*w^2 - 5*w + 3]', '[353, 353, 3*w^2 - w - 8]', '[353, 353, 2*w^2 - 4*w - 7]', '[353, 353, 2*w^2 + 3*w - 7]', '[355, 355, -w^2 - 3*w + 9]', '[359, 359, w^2 - 4*w - 6]', '[360, 30, 4*w^2 - 4*w - 10]', '[360, 90, -2*w - 8]', '[363, 33, -w^2 - 3*w + 7]', '[363, 33, -2*w^2 + w + 15]', '[363, 363, 2*w^2 - 4*w + 3]', '[365, 365, 3*w^2 + 2*w - 5]', '[365, 365, -3*w^2 + 8]', '[365, 365, -3*w^2 + 2*w + 6]', '[367, 367, 3*w^2 - 2*w - 4]', '[367, 367, 2*w^2 - 15]', '[367, 367, 3*w^2 + w - 7]', '[369, 123, 5*w^2 + w - 23]', '[369, 369, w^2 - w - 11]', '[373, 373, w^2 + 3*w - 8]', '[373, 373, -3*w^2 + 3*w + 17]', '[373, 373, 3*w^2 - 3*w - 14]', '[375, 15, -5*w^2 + 20]', '[375, 375, 3*w^2 - 5*w - 8]', '[381, 381, 4*w^2 + 6*w - 7]', '[383, 383, 4*w^2 - 3*w - 12]', '[387, 129, -2*w^2 + 5*w - 4]', '[387, 129, -2*w^2 - 4*w + 5]', '[387, 387, -4*w^2 + 11*w]', '[387, 387, 2*w^2 + 2*w + 3]', '[389, 389, 3*w^2 + 3*w - 10]', '[395, 395, -w^2 + 11]', '[405, 45, 3*w^2 - 3*w - 15]', '[405, 45, w^2 - 4*w - 7]', '[405, 405, 3*w^2 - w - 7]', '[407, 407, 3*w^2 - 3*w - 16]', '[407, 407, -5*w - 7]', '[408, 102, -2*w^2 + 2*w + 16]', '[409, 409, w^2 + 4*w - 13]', '[409, 409, -5*w^2 + 3*w + 18]', '[409, 409, w^2 + 4*w - 4]', '[411, 411, 4*w^2 + 5*w - 5]', '[415, 415, -5*w^2 + 4*w + 16]', '[417, 417, 2*w^2 + 7*w - 1]', '[419, 419, 3*w^2 + w - 6]', '[421, 421, 3*w^2 - 7]', '[425, 85, w^2 - 4*w - 9]', '[425, 425, -4*w^2 + 4*w + 15]', '[429, 429, -3*w^2 + w + 4]', '[429, 429, -w^2 + 4*w + 8]', '[431, 431, -4*w^2 - w + 13]', '[433, 433, -w^2 + 2*w - 5]', '[439, 439, 3*w^2 - w - 6]', '[440, 110, 4*w^2 - 14]', '[440, 110, 2*w^2 - 4*w - 8]', '[445, 445, -w^2 + 6*w - 10]', '[447, 447, -3*w^2 - 4*w + 8]', '[447, 447, 2*w^2 + 3*w - 8]', '[447, 447, 3*w^2 + w - 5]', '[449, 449, 3*w^2 - w - 5]', '[451, 451, -3*w^2 - 10*w - 9]', '[451, 451, 2*w^2 - 4*w - 19]', '[457, 457, 3*w^2 - 4]', '[457, 457, 2*w^2 - 5*w - 6]', '[457, 457, -w^2 - w - 5]', '[459, 51, -3*w^2 + 6]', '[459, 459, -4*w^2 + w + 14]', '[461, 461, -3*w^2 - 5*w + 6]', '[463, 463, 3*w^2 + 2*w - 14]', '[467, 467, 3*w^2 + 2*w - 18]', '[471, 471, -w + 8]', '[473, 473, w^2 + 8*w]', '[473, 473, -2*w^2 + 7*w + 4]', '[473, 473, 5*w - 3]', '[473, 473, -3*w^2 + 5]', '[479, 479, 3*w^2 + w - 21]', '[481, 481, 4*w^2 + 3*w - 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2*w - 13]', '[9645, 9645, -2*w^2 + 3*w + 29]', '[9645, 9645, 13*w^2 + 2*w - 80]', '[9645, 9645, 5*w^2 - 14*w + 14]', '[9647, 9647, w^2 - 2*w - 25]', '[9647, 9647, 10*w^2 - 63]', '[9649, 9649, 9*w^2 + 6*w - 38]', '[9651, 9651, -4*w^2 - 8*w + 29]', '[9651, 9651, -17*w - 11]', '[9651, 9651, 5*w^2 - 11*w - 22]', '[9655, 9655, -13*w^2 + 16*w + 27]', '[9655, 9655, 3*w^2 - 8*w + 15]', '[9655, 9655, -12*w^2 - w + 43]', '[9656, 2414, 10*w^2 - 2*w - 32]', '[9661, 9661, 10*w^2 + 7*w - 38]', '[9663, 9663, 9*w^2 + 2*w - 7]', '[9665, 9665, -5*w^2 - 8*w + 23]', '[9669, 9669, -10*w^2 + w + 32]', '[9669, 9669, -6*w^2 + 13*w + 19]', '[9673, 9673, 9*w^2 + 7*w - 10]', '[9675, 645, w^2 + 11*w - 19]', '[9675, 645, 17*w^2 - 8*w - 68]', '[9675, 1935, -7*w^2 + 13*w - 7]', '[9675, 1935, 11*w^2 - 14*w - 34]', '[9675, 3225, w^2 - 16*w + 5]', '[9675, 3225, 4*w^2 - 13*w - 16]', '[9675, 9675, 10*w^2 - 7*w - 8]', '[9675, 9675, -w^2 - 11*w + 17]', '[9677, 9677, 5*w^2 - 16*w - 13]', '[9677, 9677, 9*w^2 - 5*w - 21]', '[9677, 9677, 12*w^2 + 5*w - 51]', '[9679, 9679, 12*w^2 + 2*w - 75]', '[9685, 9685, 3*w + 22]', '[9685, 9685, 5*w^2 - 11*w - 39]', '[9685, 9685, -7*w^2 + 9*w + 38]', '[9687, 9687, 7*w^2 + 10*w - 21]', '[9693, 1077, 3*w^2 - 12*w - 18]', '[9693, 9693, 9*w^2 - 2*w - 8]', '[9701, 9701, 8*w^2 - 9*w - 46]', '[9705, 9705, -11*w^2 + 9*w + 62]', '[9711, 3237, 25*w^2 - 4*w - 133]', '[9711, 9711, 11*w^2 + 4*w - 61]', '[9717, 9717, 5*w^2 - 10*w - 27]', '[9719, 9719, w^2 + 11*w - 18]', '[9720, 90, 12*w^2 - 12*w - 30]', '[9720, 270, -6*w - 24]', '[9720, 2430, 4*w^2 + 14*w - 8]', '[9721, 9721, 10*w^2 - 9*w - 45]', '[9721, 9721, 19*w^2 - 11*w - 82]', '[9721, 9721, 11*w^2 - 11*w - 42]', '[9725, 1945, 8*w^2 - 12*w - 27]', '[9725, 9725, 15*w^2 + 19*w - 24]', '[9727, 9727, 13*w^2 + 4*w - 58]', '[9736, 2434, 2*w^2 + 10*w - 18]', '[9741, 9741, w^2 - 4*w - 26]', '[9743, 9743, 7*w^2 - 10*w - 30]', '[9745, 9745, -12*w^2 + 15*w + 22]', '[9763, 9763, -2*w^2 - 20*w - 29]', '[9767, 9767, 2*w^2 - 13*w - 16]', '[9768, 2442, -8*w - 26]', '[9768, 2442, 10*w^2 - 6*w - 28]', '[9769, 9769, 6*w^2 - 11*w - 24]', '[9771, 9771, -2*w^2 - 19*w - 11]', '[9777, 9777, 11*w^2 + 12*w - 17]', '[9783, 3261, 8*w^2 + 7*w - 32]', '[9783, 9783, -2*w^2 - 3*w - 16]', '[9791, 9791, -2*w^2 - 5*w - 17]', '[9792, 204, -4*w^2 - 8*w + 28]', '[9792, 612, 4*w^2 - 8*w + 12]', '[9795, 9795, -25*w^2 + 11*w + 114]', '[9799, 9799, 7*w^2 + 6*w - 35]', '[9801, 99, w^2 + 5*w + 20]', '[9801, 99, -w^2 - 14*w + 7]', '[9801, 99, -3*w^2 - 9*w + 21]', '[9801, 99, -6*w^2 + 3*w + 45]', '[9801, 891, -4*w^2 - 9*w + 19]', '[9801, 891, 5*w^2 - 7*w + 9]', '[9801, 1089, -2*w^2 - 10*w + 23]', '[9801, 1089, 6*w^2 - 12*w + 9]', '[9801, 9801, w^2 - 10*w + 25]', '[9803, 9803, w^2 + w - 25]', '[9803, 9803, 8*w^2 + 8*w - 29]', '[9803, 9803, -w^2 + 14*w - 10]', '[9809, 9809, 10*w^2 + 9*w - 17]', '[9813, 9813, 10*w^2 + 8*w - 5]', '[9816, 2454, -4*w^2 - 8*w + 26]', '[9816, 2454, 10*w^2 + 10*w - 6]', '[9816, 2454, 10*w^2 - 8*w - 24]', '[9819, 3273, w^2 + 8*w - 31]', '[9819, 9819, -5*w^2 + 20*w - 11]', '[9829, 9829, 3*w^2 + 5*w - 36]', '[9832, 2458, 10*w^2 + 12*w - 26]', '[9837, 3279, 17*w^2 - 5*w - 95]', '[9837, 9837, 9*w^2 + 5*w - 43]', '[9841, 9841, 15*w^2 + 7*w - 49]', '[9843, 9843, -7*w - 25]', '[9845, 9845, -16*w^2 - 9*w + 50]', '[9845, 9845, -2*w^2 + 13*w + 29]', '[9851, 9851, -w^2 + 15*w - 7]', '[9855, 1095, 9*w^2 + 6*w - 15]', '[9855, 1095, -9*w^2 + 24]', '[9855, 1095, -9*w^2 + 6*w + 18]', '[9855, 9855, -12*w^2 + 7*w + 40]', '[9855, 9855, -14*w^2 + 3*w + 56]', '[9855, 9855, 11*w^2 + w - 37]', '[9857, 9857, -2*w^2 + 6*w - 17]', '[9857, 9857, 2*w^2 + 14*w - 7]', '[9857, 9857, -4*w^2 - 5*w - 12]', '[9859, 9859, -w^2 - 12*w + 26]', '[9864, 822, 14*w^2 - 2*w - 56]', '[9864, 2466, 6*w^2 - 10*w - 28]', '[9869, 9869, 9*w^2 - 2*w - 24]', '[9875, 395, 15*w^2 - 20*w - 30]', '[9875, 9875, -3*w^2 + 12*w + 31]', '[9879, 9879, 10*w^2 - 10*w - 41]', '[9883, 9883, 7*w^2 + 6*w - 42]', '[9883, 9883, 9*w^2 - 10*w - 56]', '[9883, 9883, 7*w^2 - 12*w - 24]', '[9885, 9885, -11*w^2 + 6*w + 35]', '[9895, 9895, 3*w^2 - 9*w + 16]', '[9896, 2474, 8*w^2 + 6*w - 36]', '[9897, 9897, w^2 - 14*w - 15]', '[9903, 9903, -w^2 - 16*w - 15]', '[9907, 9907, 3*w^2 + 3*w - 34]', '[9909, 1101, 9*w^2 - 6*w - 12]', '[9909, 1101, 6*w^2 - 45]', '[9909, 1101, 9*w^2 + 3*w - 21]', '[9909, 9909, w^2 - 15*w - 13]', '[9909, 9909, 2*w^2 + 10*w - 19]', '[9909, 9909, 7*w^2 - 24*w - 10]', '[9915, 9915, -11*w^2 + 3*w + 38]', '[9915, 9915, 17*w^2 + 3*w - 95]', '[9915, 9915, -15*w^2 + 7*w + 58]', '[9921, 9921, 9*w^2 + 23*w - 4]', '[9921, 9921, w^2 - 9*w - 31]', '[9921, 9921, 9*w^2 - 10*w - 37]', '[9923, 9923, 5*w^2 - 10*w - 28]', '[9927, 3309, 13*w^2 - 13*w - 46]', '[9927, 9927, 13*w^2 - 17*w - 24]', '[9928, 2482, 4*w^2 + 10*w - 16]', '[9928, 2482, 8*w^2 + 10*w - 24]', '[9928, 2482, -10*w^2 - 18*w + 14]', '[9931, 9931, 8*w^2 - 11*w - 30]', '[9931, 9931, -w^2 - 3*w - 19]', '[9931, 9931, 4*w^2 - 11*w - 22]', '[9935, 9935, 8*w^2 - 13*w + 5]', '[9944, 2486, 18*w^2 + 34*w]', '[9944, 2486, 10*w^2 + 10*w - 14]', '[9945, 3315, w^2 - w - 25]', '[9945, 9945, w^2 + 13*w - 9]', '[9960, 2490, -22*w^2 + 2*w + 120]', '[9963, 369, 15*w^2 + 3*w - 69]', '[9963, 1107, 3*w^2 - 3*w - 33]', '[9963, 9963, 17*w^2 + 24*w - 23]', '[9965, 9965, -3*w^2 - 9*w + 22]', '[9967, 9967, 11*w^2 - 12*w - 22]', '[9969, 9969, -9*w^2 + 4*w + 22]', '[9973, 9973, 3*w^2 + 13*w - 9]', '[9979, 9979, 9*w^2 - w - 24]', '[9981, 3327, 11*w^2 - 5*w - 68]', '[9981, 9981, 7*w^2 + 7*w - 30]', '[9993, 9993, -3*w^2 - w - 13]', '[9995, 9995, -8*w^2 + 9*w + 39]', '[9997, 9997, 9*w^2 + 20*w - 8]', '[9999, 3333, -4*w^2 - 2*w - 11]', '[9999, 3333, 7*w^2 + 11*w - 19]', '[9999, 9999, 11*w^2 + 5*w - 48]', '[9999, 9999, w^2 - 25]'], 'label': '3.3.473.1', 'narrow_class_no': 1, 'primes': ['[3, 3, w + 1]', '[5, 5, w - 1]', '[8, 2, 2]', '[9, 3, -w^2 + w + 4]', '[11, 11, -w^2 + 3]', '[11, 11, -w^2 - w + 1]', '[13, 13, w + 3]', '[17, 17, -w^2 + 2]', '[25, 5, w^2 + w - 4]', '[37, 37, w^2 + w - 5]', '[41, 41, 2*w^2 + w - 6]', '[43, 43, w^2 - 3*w - 2]', '[43, 43, -w + 4]', '[71, 71, w^2 - 8]', '[73, 73, 3*w + 5]', '[73, 73, w^2 - 2*w - 5]', '[73, 73, w^2 - 2*w - 7]', '[79, 79, 2*w^2 + w - 9]', '[83, 83, 3*w^2 - 2*w - 13]', '[89, 89, -w^2 - 2*w + 9]', '[101, 101, -w - 5]', '[103, 103, 2*w^2 - 2*w - 9]', '[103, 103, 2*w^2 - w - 13]', '[103, 103, 2*w^2 - w - 5]', '[107, 107, w^2 - 2*w - 10]', '[109, 109, 2*w^2 - 13]', '[113, 113, -w^2 - 2*w - 3]', '[127, 127, -3*w^2 - w + 10]', '[137, 137, 2*w^2 + 2*w - 7]', '[139, 139, 2*w^2 - 3]', '[149, 149, -3*w^2 + 11]', '[149, 149, 3*w^2 - w - 11]', '[149, 149, w^2 + 2*w - 6]', '[157, 157, -3*w^2 + 3*w + 11]', '[163, 163, w^2 + 3*w - 3]', '[167, 167, 2*w^2 - 3*w - 7]', '[169, 13, -w^2 + 3*w - 4]', '[173, 173, -w^2 + 5*w - 1]', '[179, 179, -3*w - 8]', '[191, 191, -w^2 + w - 3]', '[193, 193, -w^2 - 3]', '[197, 197, -3*w^2 + 2*w + 9]', '[199, 199, w^2 - 3*w - 6]', '[211, 211, 2*w^2 - w - 14]', '[211, 211, -4*w - 5]', '[211, 211, -2*w - 7]', '[223, 223, 3*w^2 - 10]', '[239, 239, w^2 - 2*w - 11]', '[257, 257, 2*w^2 + 3*w - 6]', '[271, 271, -w^2 + 2*w - 4]', '[277, 277, 4*w^2 - 3*w - 17]', '[277, 277, w^2 + 2*w - 12]', '[277, 277, 4*w - 3]', '[281, 281, 4*w^2 + w - 14]', '[283, 283, w^2 + 3*w - 5]', '[289, 17, 3*w^2 - w - 9]', '[293, 293, -3*w^2 - 2*w + 12]', '[307, 307, w - 7]', '[311, 311, 4*w^2 - 15]', '[311, 311, 2*w^2 - 3*w - 10]', '[311, 311, w^2 + w - 11]', '[313, 313, -2*w^2 - 2*w + 17]', '[317, 317, 3*w^2 - 3*w - 13]', '[317, 317, 2*w^2 - 3*w - 12]', '[317, 317, 2*w^2 + 2*w - 11]', '[331, 331, w^2 + 3*w - 6]', '[337, 337, 4*w^2 - w - 15]', '[343, 7, -7]', '[353, 353, 3*w^2 - w - 8]', '[353, 353, 2*w^2 - 4*w - 7]', '[353, 353, 2*w^2 + 3*w - 7]', '[359, 359, w^2 - 4*w - 6]', '[367, 367, 3*w^2 - 2*w - 4]', '[367, 367, 2*w^2 - 15]', '[367, 367, 3*w^2 + w - 7]', '[373, 373, w^2 + 3*w - 8]', '[373, 373, -3*w^2 + 3*w + 17]', '[373, 373, 3*w^2 - 3*w - 14]', '[383, 383, 4*w^2 - 3*w - 12]', '[389, 389, 3*w^2 + 3*w - 10]', '[409, 409, w^2 + 4*w - 13]', '[409, 409, -5*w^2 + 3*w + 18]', '[409, 409, w^2 + 4*w - 4]', '[419, 419, 3*w^2 + w - 6]', '[421, 421, 3*w^2 - 7]', '[431, 431, -4*w^2 - w + 13]', '[433, 433, -w^2 + 2*w - 5]', '[439, 439, 3*w^2 - w - 6]', '[449, 449, 3*w^2 - w - 5]', '[457, 457, 3*w^2 - 4]', '[457, 457, 2*w^2 - 5*w - 6]', '[457, 457, -w^2 - w - 5]', '[461, 461, -3*w^2 - 5*w + 6]', '[463, 463, 3*w^2 + 2*w - 14]', '[467, 467, 3*w^2 + 2*w - 18]', '[479, 479, 3*w^2 + w - 21]', '[499, 499, w^2 - 5*w - 13]', '[509, 509, 4*w^2 + 3*w - 9]', '[509, 509, 3*w^2 - w - 20]', '[509, 509, 2*w^2 + 5*w - 4]', '[521, 521, w^2 + 7*w + 5]', '[523, 523, 3*w^2 + 2*w - 17]', '[523, 523, 3*w^2 - 4*w - 20]', '[523, 523, 3*w^2 - 5*w - 9]', '[541, 541, 2*w - 9]', '[547, 547, -4*w^2 + 5*w + 13]', '[557, 557, -2*w - 9]', '[563, 563, 3*w^2 - 4*w - 12]', '[569, 569, -w^2 - 2*w - 6]', '[577, 577, -3*w - 10]', '[587, 587, w^2 - 12]', '[613, 613, -5*w + 8]', '[631, 631, 7*w^2 - 5*w - 28]', '[641, 641, -4*w^2 + 7*w + 9]', '[643, 643, -5*w^2 + 5*w + 18]', '[643, 643, 6*w^2 - 5*w - 19]', '[643, 643, w^2 - 5*w - 7]', '[647, 647, w^2 - 2*w - 13]', '[653, 653, 3*w^2 + 2*w - 23]', '[659, 659, 5*w - 6]', '[661, 661, w^2 + 4*w - 11]', '[661, 661, w^2 + 4*w - 7]', '[661, 661, -6*w^2 + 4*w + 21]', '[677, 677, w^2 + 3*w - 15]', '[677, 677, 3*w^2 - 5*w - 10]', '[677, 677, 2*w^2 + 3*w - 13]', '[683, 683, 2*w^2 + 3*w - 12]', '[683, 683, 2*w^2 + 5*w - 5]', '[683, 683, w - 9]', '[691, 691, 5*w^2 - 6*w - 10]', '[701, 701, w^2 + 5*w - 15]', '[709, 709, 4*w^2 - w - 12]', '[709, 709, w^2 - 5*w - 8]', '[709, 709, w^2 + 4*w - 8]', '[719, 719, 4*w^2 + w - 11]', '[719, 719, -w^2 + w - 6]', '[719, 719, 4*w^2 - 2*w - 11]', '[727, 727, -w^2 - 6]', '[751, 751, w^2 - 5*w - 10]', '[757, 757, 5*w^2 - 18]', '[769, 769, w^2 + 6*w - 3]', '[773, 773, 3*w^2 - 4*w - 18]', '[787, 787, 3*w^2 + w - 22]', '[809, 809, 3*w - 11]', '[821, 821, 3*w^2 + 4*w - 10]', '[823, 823, 5*w^2 - 3*w - 16]', '[823, 823, 3*w^2 - 4*w - 17]', '[823, 823, 2*w^2 - w - 17]', '[827, 827, 4*w^2 - 11]', '[829, 829, 2*w^2 - 5*w - 9]', '[839, 839, -w^2 - 4*w + 17]', '[853, 853, 5*w^2 - 4*w - 14]', '[857, 857, 2*w^2 - 6*w - 7]', '[859, 859, -3*w^2 + 5*w - 3]', '[863, 863, -3*w - 11]', '[877, 877, 6*w^2 - 3*w - 22]', '[911, 911, 6*w^2 - 23]', '[919, 919, 2*w^2 + 4*w - 9]', '[929, 929, 4*w^2 - 2*w - 5]', '[941, 941, 5*w^2 + 2*w - 23]', '[967, 967, 6*w^2 - 5*w - 24]', '[971, 971, 6*w^2 - 5*w - 18]', '[971, 971, 4*w^2 - 4*w - 21]', '[971, 971, w^2 - 3*w - 15]', '[983, 983, -3*w^2 + 4*w - 3]', '[991, 991, 6*w - 5]']}
12. label: 3.3.564.1
    {'degree': 3, 'discriminant': 564, 'ideals': ['[1, 1, 1]', '[2, 2, w - 1]', '[3, 3, w]', '[3, 3, w - 2]', '[4, 2, w^2 - 5]', '[6, 6, w + 1]', '[6, 6, -w + 3]', '[8, 2, 2]', '[9, 3, w^2 + w - 3]', '[9, 3, -w^2 + w + 5]', '[9, 9, w^2 - w - 3]', '[12, 6, w^2 - 3]', '[12, 6, w^2 - 1]', '[13, 13, w^2 - 2*w - 2]', '[16, 4, 2*w - 2]', '[17, 17, -w^2 + 2]', '[18, 6, 2*w^2 - w - 9]', '[18, 6, w^2 - w - 2]', '[18, 18, w + 3]', '[19, 19, -w^2 + w + 1]', '[24, 6, 2*w]', '[24, 6, 2*w - 4]', '[26, 26, -w^2 - w + 4]', '[27, 3, 3]', '[27, 9, -2*w^2 + w + 12]', '[27, 9, w^2 - w + 1]', '[27, 27, 2*w - 3]', '[31, 31, -w + 4]', '[32, 4, 2*w^2 - 10]', '[34, 34, -w^2 - w + 8]', '[36, 6, w^2 + 2*w + 1]', '[36, 6, -w^2 + 2*w + 3]', '[36, 18, w^2 + 2*w - 3]', '[38, 38, -3*w^2 + w + 14]', '[39, 39, -2*w - 3]', '[39, 39, -2*w^2 + 11]', '[41, 41, -w^2 + 2*w - 2]', '[41, 41, -2*w^2 - 3*w + 4]', '[41, 41, 2*w + 1]', '[43, 43, -w^2 - w + 5]', '[47, 47, -w^2 + 8]', '[47, 47, 2*w^2 - w - 8]', '[48, 12, 2*w + 2]', '[48, 12, -2*w + 6]', '[51, 51, w^2 - 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4*w + 44]', '[9929, 9929, -7*w^2 - 5*w + 49]', '[9931, 9931, 13*w^2 - 74]', '[9931, 9931, w^2 - w - 25]', '[9931, 9931, -5*w^2 - 17*w + 17]', '[9932, 4966, 3*w^2 - 8*w + 17]', '[9934, 9934, 6*w^2 + w - 49]', '[9938, 9938, 6*w^2 - w - 47]', '[9938, 9938, 6*w^2 + w + 5]', '[9938, 9938, 2*w^2 - w - 29]', '[9939, 9939, 8*w^2 - 5*w - 18]', '[9939, 9939, -4*w^2 - 9*w + 52]', '[9941, 9941, -8*w^2 + 12*w + 55]', '[9943, 9943, -5*w - 22]', '[9943, 9943, -7*w^2 + 11*w + 47]', '[9943, 9943, 12*w^2 - 3*w - 76]', '[9946, 9946, 4*w^2 - 11*w - 17]', '[9946, 9946, -11*w^2 + w + 40]', '[9946, 9946, -w^2 - 13*w + 20]', '[9948, 4974, -7*w^2 - 8*w + 27]', '[9948, 4974, -5*w^2 - 18*w + 17]', '[9956, 4978, 19*w^2 - 8*w - 89]', '[9957, 9957, w^2 - 3*w - 25]', '[9957, 9957, 13*w^2 - 21*w - 33]', '[9958, 9958, 9*w^2 - 3*w - 28]', '[9963, 369, 6*w^2 - 15*w - 12]', '[9963, 369, -6*w^2 - 15*w + 18]', '[9963, 369, -6*w^2 - 6*w + 45]', '[9963, 369, -12*w^2 - 6*w + 33]', '[9963, 369, -3*w^2 + 3*w + 33]', '[9963, 369, -3*w^2 + 24*w - 18]', '[9963, 1107, 3*w^2 + 9*w - 27]', '[9963, 1107, -12*w - 9]', '[9963, 1107, -8*w^2 - 13*w - 2]', '[9963, 1107, 10*w^2 - 4*w - 65]', '[9963, 1107, 5*w^2 - 2*w + 8]', '[9963, 1107, -9*w^2 - 6*w + 36]', '[9963, 3321, 10*w^2 - 11*w - 60]', '[9963, 3321, -13*w^2 + 14*w + 42]', '[9963, 3321, 5*w^2 + 17*w - 3]', '[9963, 9963, -2*w^2 + 12*w + 27]', '[9963, 9963, -8*w^2 + 6*w + 9]', '[9963, 9963, -w^2 - 18]', '[9964, 4982, 9*w^2 - 25]', '[9964, 4982, -w^2 - 6*w - 19]', '[9967, 9967, -3*w^2 + 12*w + 32]', '[9967, 9967, 11*w^2 - 4*w - 70]', '[9967, 9967, 21*w^2 - 8*w - 100]', '[9971, 767, 2*w^2 + 8*w + 17]', '[9971, 9971, -9*w^2 - 2*w + 14]', '[9972, 1662, w^2 - 16*w + 1]', '[9972, 1662, 5*w^2 - 10*w - 27]', '[9972, 1662, 11*w^2 - 20*w - 13]', '[9972, 1662, 19*w^2 - 14*w - 81]', '[9972, 1662, 29*w^2 - 16*w - 153]', '[9972, 1662, 7*w^2 - 10*w - 35]', '[9972, 4986, -17*w^2 - 4*w + 69]', '[9972, 4986, -13*w^2 - 18*w + 27]', '[9972, 4986, -3*w^2 + 2*w + 33]', '[9974, 9974, 9*w^2 + 3*w - 46]', '[9979, 9979, -w^2 - 13*w - 5]', '[9979, 9979, -6*w^2 + 8*w + 49]', '[9979, 9979, -18*w^2 + 11*w + 106]', '[9981, 3327, -w^2 + 23*w - 9]', '[9981, 3327, -7*w^2 + 31*w - 25]', '[9981, 9981, -2*w^2 + 12*w + 9]', '[9983, 9983, 2*w^2 + 11*w - 22]', '[9984, 312, -4*w^2 - 8*w + 36]', '[9984, 312, -12*w^2 - 8*w + 28]', '[9986, 9986, 9*w^2 - 7*w - 26]', '[9987, 9987, 8*w^2 - 6*w - 17]', '[9987, 9987, -2*w^2 - w + 30]', '[9987, 9987, 16*w^2 - 7*w - 72]', '[9987, 9987, 9*w^2 + w - 23]', '[9987, 9987, 6*w^2 - 10*w + 11]', '[9987, 9987, w^2 + 15*w - 39]', '[9993, 9993, 8*w^2 - 8*w - 9]', '[9993, 9993, 2*w^2 - 18*w + 37]', '[9994, 9994, -9*w^2 - 3*w + 56]', '[9997, 9997, 8*w^2 + 4*w + 1]', '[9997, 9997, -7*w^2 + 11*w + 29]', '[9997, 9997, -3*w^2 - 9*w + 29]'], 'label': '3.3.564.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w - 1]', '[3, 3, w]', '[3, 3, w - 2]', '[13, 13, w^2 - 2*w - 2]', '[17, 17, -w^2 + 2]', '[19, 19, -w^2 + w + 1]', '[31, 31, -w + 4]', '[41, 41, -w^2 + 2*w - 2]', '[41, 41, -2*w^2 - 3*w + 4]', '[41, 41, 2*w + 1]', '[43, 43, -w^2 - w + 5]', '[47, 47, -w^2 + 8]', '[47, 47, 2*w^2 - w - 8]', '[53, 53, w^2 + w - 7]', '[59, 59, w^2 - 2*w - 4]', '[61, 61, -3*w^2 + 14]', '[61, 61, 4*w^2 - 2*w - 19]', '[61, 61, -2*w^2 + 7]', '[67, 67, -2*w^2 - w + 8]', '[71, 71, w^2 + 2*w - 4]', '[73, 73, -2*w^2 + 2*w + 11]', '[83, 83, -3*w + 4]', '[89, 89, -3*w^2 - 3*w + 5]', '[101, 101, w^2 + 2*w + 2]', '[109, 109, 4*w - 1]', '[113, 113, 2*w^2 - 2*w - 5]', '[113, 113, -w^2 - 2*w + 10]', '[113, 113, -5*w^2 + w + 25]', '[125, 5, -5]', '[127, 127, -2*w^2 - 4*w - 1]', '[131, 131, -3*w^2 + 16]', '[137, 137, -3*w^2 + 3*w + 13]', '[137, 137, 2*w^2 - w - 2]', '[137, 137, 2*w^2 + 2*w - 7]', '[139, 139, w^2 - 2*w - 10]', '[149, 149, -3*w - 4]', '[151, 151, -3*w - 2]', '[163, 163, 2*w^2 - w - 4]', '[169, 13, w^2 + 4*w + 2]', '[173, 173, 2*w^2 - w - 14]', '[181, 181, w^2 + 3*w - 5]', '[191, 191, w^2 + w - 11]', '[193, 193, 2*w^2 - 4*w - 5]', '[197, 197, 3*w^2 + w - 13]', '[199, 199, 6*w^2 - 3*w - 34]', '[211, 211, -w^2 + 2*w - 4]', '[223, 223, w^2 - 3*w - 5]', '[229, 229, -3*w^2 + 3*w + 17]', '[239, 239, 3*w^2 - w - 11]', '[251, 251, 4*w^2 - 2*w - 17]', '[263, 263, 3*w + 8]', '[269, 269, -2*w^2 + 3*w + 10]', '[277, 277, -2*w - 7]', '[277, 277, 4*w^2 - 23]', '[277, 277, 7*w^2 - 4*w - 40]', '[289, 17, 3*w^2 - 2*w - 10]', '[313, 313, 3*w^2 + w - 7]', '[331, 331, -3*w^2 + 3*w + 1]', '[331, 331, -3*w^2 + 4*w + 20]', '[331, 331, -w^2 - 3*w + 11]', '[343, 7, -7]', '[347, 347, -3*w^2 - w + 19]', '[349, 349, 4*w^2 + 4*w - 11]', '[353, 353, w^2 - 5*w - 1]', '[361, 19, 4*w^2 - w - 16]', '[367, 367, -4*w - 5]', '[373, 373, -w^2 - 4]', '[383, 383, 2*w^2 - 4*w - 7]', '[389, 389, -5*w^2 + 4*w + 28]', '[389, 389, 3*w^2 - 8]', '[389, 389, -9*w^2 + 4*w + 50]', '[397, 397, -8*w^2 + w + 38]', '[397, 397, 6*w^2 - w - 32]', '[397, 397, 2*w^2 + 2*w - 11]', '[401, 401, w^2 - 4*w - 4]', '[409, 409, 5*w^2 - w - 31]', '[421, 421, 3*w^2 - 3*w - 7]', '[431, 431, -2*w^2 - 3*w - 2]', '[433, 433, 5*w^2 + 2*w - 16]', '[443, 443, w^2 - 4*w - 10]', '[443, 443, 2*w^2 + 2*w - 13]', '[443, 443, -3*w^2 + 4*w + 2]', '[463, 463, 6*w - 1]', '[479, 479, -w^2 + w - 5]', '[487, 487, 5*w^2 - 4*w - 26]', '[487, 487, -w^2 - 4*w + 14]', '[487, 487, 2*w^2 - w - 16]', '[491, 491, -4*w^2 - 5*w + 10]', '[499, 499, 2*w^2 - 8*w + 1]', '[509, 509, -4*w^2 + 3*w + 26]', '[509, 509, -6*w^2 + w + 26]', '[509, 509, 4*w^2 - 4*w - 19]', '[521, 521, 4*w^2 - 3*w - 14]', '[541, 541, w^2 + 4*w - 8]', '[541, 541, w^2 + w - 13]', '[541, 541, 3*w^2 + 3*w - 11]', '[547, 547, 3*w^2 - 2*w - 4]', '[563, 563, 2*w^2 - 4*w + 5]', '[563, 563, -3*w^2 + 2*w - 2]', '[563, 563, -6*w + 7]', '[571, 571, -3*w^2 - 5*w - 1]', '[571, 571, -w^2 + 3*w - 7]', '[571, 571, 3*w^2 - 22]', '[577, 577, 3*w^2 - 4*w - 14]', '[587, 587, -3*w^2 - 6*w - 2]', '[587, 587, 2*w^2 + 3*w - 10]', '[587, 587, -7*w^2 + 2*w + 32]', '[593, 593, -w^2 - w - 5]', '[593, 593, 5*w^2 - 28]', '[593, 593, w^2 + 5*w - 7]', '[607, 607, 3*w^2 + 2*w - 14]', '[617, 617, -2*w^2 + 4*w + 13]', '[631, 631, w^2 - 8*w + 8]', '[643, 643, -9*w^2 + 3*w + 43]', '[643, 643, -2*w^2 + 4*w + 11]', '[643, 643, -5*w^2 + 3*w + 31]', '[647, 647, -4*w^2 + 7*w + 10]', '[653, 653, 6*w^2 - 5*w - 28]', '[659, 659, w^2 + 4*w - 10]', '[661, 661, -8*w^2 + 3*w + 46]', '[661, 661, 4*w^2 + w - 20]', '[661, 661, 2*w^2 - 4*w - 19]', '[673, 673, -4*w + 13]', '[677, 677, -5*w^2 - w + 17]', '[677, 677, -3*w^2 - 4*w + 10]', '[677, 677, 2*w^2 - 2*w - 17]', '[683, 683, 4*w^2 - 5*w - 16]', '[691, 691, 5*w^2 + 2*w - 20]', '[719, 719, 6*w^2 - 3*w - 26]', '[727, 727, -6*w^2 - w + 22]', '[743, 743, -7*w^2 + w + 37]', '[743, 743, 7*w^2 - 3*w - 41]', '[743, 743, 4*w + 11]', '[751, 751, 2*w^2 + 5*w - 8]', '[757, 757, 3*w^2 - 6*w - 8]', '[761, 761, 5*w^2 - 2*w - 20]', '[769, 769, 4*w^2 + w - 10]', '[769, 769, -5*w^2 - w + 23]', '[769, 769, -3*w - 10]', '[773, 773, 2*w^2 + 3*w - 16]', '[787, 787, 5*w^2 + 7*w - 11]', '[821, 821, -6*w - 1]', '[821, 821, -11*w^2 + 7*w + 61]', '[821, 821, -w^2 - 6*w - 4]', '[827, 827, -4*w^2 - 4*w + 13]', '[829, 829, w^2 - 5*w - 5]', '[853, 853, -2*w^2 + w - 4]', '[853, 853, -3*w^2 + 2*w + 22]', '[853, 853, w - 10]', '[859, 859, 6*w^2 - 35]', '[863, 863, 3*w^2 + 3*w - 13]', '[877, 877, 5*w^2 - w - 19]', '[883, 883, 5*w^2 - 5*w - 23]', '[883, 883, 3*w^2 - 4*w + 4]', '[883, 883, w^2 - 5*w - 11]', '[887, 887, 4*w^2 - 11]', '[887, 887, -6*w^2 + 6*w + 37]', '[887, 887, 4*w^2 + w - 8]', '[911, 911, 5*w^2 + 2*w - 14]', '[919, 919, w^2 + 6*w - 8]', '[929, 929, 6*w^2 - w - 38]', '[937, 937, 12*w^2 - 6*w - 67]', '[941, 941, 7*w^2 - 5*w - 29]', '[947, 947, -8*w^2 + w + 40]', '[961, 31, w^2 + 3*w + 7]', '[977, 977, 6*w^2 - 23]', '[983, 983, -4*w^2 + 5*w + 2]', '[983, 983, w^2 - 5*w - 7]', '[983, 983, 6*w^2 - 31]', '[997, 997, -6*w^2 + 2*w + 37]']}
13. label: 3.3.568.1
    {'degree': 3, 'discriminant': 568, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w + 1]', '[4, 2, -w^2 + 2*w + 4]', '[4, 2, w^2 - w - 6]', '[4, 4, -w^2 + 2*w + 3]', '[5, 5, w^2 - w - 7]', '[8, 2, 2]', '[8, 4, w^2 - 2*w - 2]', '[8, 4, w^2 - w - 4]', '[8, 8, -w + 1]', '[10, 10, w^2 - 2*w - 5]', '[10, 10, -w + 2]', '[11, 11, -w^2 + w + 1]', '[16, 4, 2*w]', '[16, 4, -w^2 + 2]', '[16, 4, 2*w + 2]', '[16, 8, w^2 + w - 2]', '[16, 16, -w^2 + 1]', '[17, 17, -w^2 + w + 3]', '[20, 10, -w^2 + w + 2]', '[20, 10, w^2 - 4]', '[20, 20, -w - 3]', '[22, 22, -2*w^2 + 3*w + 9]', '[22, 22, w - 4]', '[25, 5, -w^2 - w - 1]', '[25, 25, -w^2 + 3*w + 3]', '[27, 3, 3]', '[29, 29, -w^2 + 3*w - 1]', '[32, 4, -2*w^2 + 4*w + 8]', '[32, 4, 2*w^2 - 2*w - 12]', '[32, 8, -w^2 + 4*w - 2]', '[32, 8, -2*w^2 + 4*w + 6]', '[32, 16, w^2 - w - 8]', '[32, 32, -2*w^2 + 5*w + 5]', '[34, 34, -3*w - 2]', '[34, 34, -w^2 - 2*w + 1]', '[37, 37, 3*w^2 - 5*w - 13]', '[40, 10, 2*w^2 - 2*w - 14]', '[40, 20, -w^2 - 3*w]', '[40, 20, w^2 + 2*w + 2]', '[40, 40, w^2 - 9]', '[41, 41, 2*w - 1]', '[44, 22, w^2 - 3*w - 4]', '[44, 22, -w^2 + 2*w + 8]', '[44, 44, -w^2 + 5]', '[50, 10, -2*w^2 + 3*w + 8]', '[50, 10, -w^2 + 4*w - 1]', '[50, 50, -3*w - 4]', '[50, 50, w^2 + 1]', '[53, 53, 5*w^2 - 9*w - 21]', '[53, 53, 3*w^2 - 5*w - 15]', '[53, 53, w^2 - 3*w - 7]', '[54, 6, 3*w]', '[54, 6, 3*w + 3]', '[55, 55, 2*w^2 - 4*w - 5]', '[58, 58, w + 4]', '[58, 58, w^2 - 4*w - 3]', '[59, 59, w^2 - 3*w - 5]', '[61, 61, 2*w^2 - 4*w - 9]', '[61, 61, 2*w - 7]', '[61, 61, 2*w - 5]', '[64, 4, 4]', '[64, 8, -w^2 + 6]', '[64, 8, 2*w^2 - 4*w - 4]', '[64, 8, 2*w^2 - 2*w - 8]', '[64, 16, -2*w + 2]', '[64, 32, w^2 - 3*w - 6]', '[64, 64, w^2 - 2*w + 1]', '[67, 67, -w^2 + w - 1]', '[68, 34, 3*w^2 - 5*w - 16]', '[68, 34, -w^2 + 8]', '[68, 68, -w + 5]', '[71, 71, -2*w - 5]', '[71, 71, 3*w^2 - 3*w - 19]', '[74, 74, -2*w^2 + 5*w + 6]', '[74, 74, w^2 - 7]', '[79, 79, 2*w - 3]', '[80, 20, 2*w^2 - 4*w - 10]', '[80, 20, 3*w^2 - 4*w - 14]', '[80, 20, -2*w + 4]', '[80, 40, w^2 - 3*w + 2]', '[80, 80, 2*w^2 - 3*w - 7]', '[82, 82, 2*w^2 - w]', '[82, 82, 2*w^2 + w - 1]', '[83, 83, 2*w^2 - 5]', '[83, 83, w^2 - w - 9]', '[83, 83, -2*w^2 + 4*w + 11]', '[85, 85, 4*w^2 - 6*w - 19]', '[88, 22, -2*w^2 + 2*w + 2]', '[88, 44, -w^2 - w - 2]', '[88, 44, w^2 + 2*w - 2]', '[88, 88, -2*w^2 - w + 3]', '[97, 97, 4*w + 3]', '[100, 10, -w^2 - w + 4]', '[100, 10, w^2 - 4*w - 4]', '[100, 20, 2*w^2 - 3*w - 3]', '[100, 50, w^2 - 4*w + 4]', '[100, 50, 3*w^2 - 5*w - 12]', '[100, 100, -3*w^2 + 4*w + 19]', '[101, 101, -6*w^2 + 8*w + 35]', '[103, 103, 2*w^2 - 2*w - 7]', '[106, 106, 2*w^2 - 11*w - 4]', '[106, 106, -2*w^2 + 3*w + 6]', '[106, 106, -2*w^2 - w + 2]', '[106, 106, -7*w - 3]', '[106, 106, w^2 - 2*w - 9]', '[106, 106, -w^2 - 4*w - 5]', '[108, 6, -3*w^2 + 6*w + 12]', '[108, 6, 3*w^2 - 3*w - 18]', '[108, 12, -3*w^2 + 6*w + 9]', '[109, 109, -3*w^2 + 3*w + 17]', '[110, 110, -2*w^2 + w + 6]', '[110, 110, 3*w - 1]', '[113, 113, w^2 + 3*w - 1]', '[116, 58, w^2 + 4*w]', '[116, 58, -w^2 - w + 12]', '[116, 116, 5*w^2 - 8*w - 25]', '[118, 118, -w^2 - 2*w - 3]', '[118, 118, -2*w^2 + w + 2]', '[121, 11, -5*w^2 + 7*w + 25]', '[121, 121, -3*w^2 + 7*w + 9]', '[122, 122, -w - 5]', '[122, 122, 2*w^2 - 5*w - 7]', '[122, 122, 2*w^2 - 5*w]', '[122, 122, -2*w^2 + 3*w + 4]', '[122, 122, 2*w^2 - 7*w]', '[122, 122, 2*w^2 - 3*w - 5]', '[125, 5, 5]', '[125, 125, 4*w^2 - 8*w - 15]', '[127, 127, -2*w^2 + 19]', '[127, 127, 2*w^2 - 2*w - 15]', '[127, 127, 3*w^2 - 3*w - 13]', '[128, 8, 4*w]', '[128, 8, -2*w^2 + 4]', '[128, 8, 4*w + 4]', '[128, 16, -w^2 - 2]', '[128, 16, 2*w^2 + 2*w - 4]', '[128, 32, -2*w^2 + 2]', '[128, 64, -w^2 - 3*w - 4]', '[128, 128, 5*w + 3]', '[134, 134, -w^2 - 6*w - 3]', '[134, 134, -7*w - 2]', '[135, 15, 3*w^2 - 3*w - 21]', '[136, 34, -2*w^2 + 2*w + 6]', '[136, 68, -w^2 + 2*w - 2]', '[136, 68, -w^2 + 5*w]', '[136, 136, -w^2 + 4*w + 5]', '[137, 137, -4*w^2 + 8*w + 13]', '[139, 139, -2*w^2 + 2*w + 3]', '[142, 142, -4*w^2 + 9*w + 12]', '[142, 142, 3*w^2 - 4*w - 13]', '[142, 142, 2*w^2 - w - 15]', '[142, 142, -w + 6]', '[145, 145, -2*w^2 + 3]', '[148, 74, 3*w^2 - 6*w - 4]', '[148, 74, w^2 - w + 2]', '[148, 148, 2*w^2 - w - 5]', '[151, 151, w^2 + w - 5]', '[157, 157, 2*w^2 - 2*w - 5]', '[158, 158, 2*w^2 - 3*w]', '[158, 158, 2*w^2 - w - 3]', '[160, 20, -2*w^2 + 2*w + 4]', '[160, 20, 2*w^2 - 8]', '[160, 40, -2*w - 6]', '[160, 40, -w^2 + 4*w + 6]', '[160, 80, -w^2 + 5*w + 4]', '[160, 160, w^2 + 2*w - 3]', '[163, 163, -w^2 + 3*w - 3]', '[164, 82, 3*w^2 - 6*w - 8]', '[164, 82, -w^2 + w + 10]', '[164, 164, 3*w^2 - 8*w - 7]', '[166, 166, 4*w^2 - 7*w - 19]', '[166, 166, w^2 - 4*w - 7]', '[166, 166, 2*w^2 - w - 4]', '[166, 166, -3*w + 8]', '[166, 166, -3*w + 2]', '[166, 166, 3*w + 7]', '[167, 167, 3*w^2 - 5*w - 11]', '[170, 170, 2*w^2 - w - 11]', '[170, 170, -2*w^2 + 5*w + 8]', '[176, 44, -4*w^2 + 6*w + 18]', '[176, 44, -5*w^2 + 8*w + 26]', '[176, 44, 2*w - 8]', '[176, 88, -w^2 + 5*w - 4]', '[176, 176, -3*w^2 + 6*w + 13]', '[185, 185, w^2 - 5*w + 1]', '[187, 187, 2*w^2 + 1]', '[191, 191, -w^2 - w - 3]', '[193, 193, w^2 - 5*w + 7]', '[194, 194, -5*w^2 + 8*w + 27]', '[194, 194, 2*w^2 - w - 14]', '[199, 199, 4*w^2 - 4*w - 25]', '[200, 10, -2*w^2 - 2*w - 2]', '[200, 20, -3*w^2 + 2*w + 22]', '[200, 20, -w^2 - w + 14]', '[200, 40, 6*w^2 - 9*w - 29]', '[200, 50, -2*w^2 + 6*w + 6]', '[200, 100, w^2 - 2*w - 10]', '[200, 100, w^2 + w - 6]', '[200, 200, -3*w^2 + 6*w + 5]', '[202, 202, 2*w^2 - w - 12]', '[202, 202, -4*w^2 + 7*w + 23]', '[205, 205, -w^2 - w + 11]', '[206, 206, 5*w + 4]', '[206, 206, 2*w^2 + 3*w - 3]', '[211, 211, -4*w^2 + 6*w + 25]', '[212, 106, 5*w^2 - 14*w - 8]', '[212, 106, w^2 - 5*w + 2]', '[212, 106, 3*w^2 - 8]', '[212, 106, -w^2 - 3*w + 2]', '[212, 106, 3*w^2 - 4*w - 20]', '[212, 106, -7*w^2 + 9*w + 36]', '[212, 212, 7*w^2 - 18*w - 9]', '[212, 212, -5*w - 7]', '[212, 212, 2*w^2 - w - 13]', '[216, 6, 6]', '[216, 12, 3*w^2 - 6*w - 6]', '[216, 12, 3*w^2 - 3*w - 12]', '[216, 24, -3*w + 3]', '[218, 218, -w - 6]', '[218, 218, -3*w^2 + 2*w + 11]', '[220, 110, -w^2 - 6*w - 4]', '[220, 110, -5*w^2 + 9*w + 22]', '[220, 220, 6*w^2 - 7*w - 35]', '[223, 223, w^2 + 5*w + 7]', '[226, 226, -4*w^2 + 7*w + 20]', '[226, 226, -w^2 + 4*w - 5]', '[227, 227, 4*w - 1]', '[229, 229, w^2 - 5*w - 5]', '[232, 58, -2*w^2 + 6*w - 2]', '[232, 116, -3*w^2 + 6*w + 14]', '[232, 116, -3*w^2 + 5*w + 10]', '[232, 232, 2*w^2 - 3*w - 15]', '[236, 118, -5*w^2 + 7*w + 24]', '[236, 118, w^2 - 12]', '[236, 236, 3*w - 7]', '[241, 241, w^2 + w - 7]', '[242, 22, 2*w^2 - 5*w - 10]', '[242, 22, -3*w^2 + 2*w + 15]', '[242, 242, 2*w^2 - 5*w - 12]', '[242, 242, w^2 - 2*w + 3]', '[244, 122, w^2 - 8*w - 4]', '[244, 122, -w^2 - 5*w]', '[244, 122, -3*w^2 + 5*w + 4]', '[244, 122, w^2 + 2*w - 4]', '[244, 122, 7*w^2 - 14*w - 24]', '[244, 122, -5*w^2 + 5*w + 34]', '[244, 244, -w^2 - 3]', '[244, 244, -w^2 - 6*w - 5]', '[244, 244, 7*w^2 - 16*w - 19]', '[250, 10, 5*w]', '[250, 10, 5*w + 5]', '[250, 250, -4*w^2 + 7*w + 22]', '[250, 250, w - 7]', '[254, 254, -4*w^2 + 7*w + 15]', '[254, 254, 2*w^2 - 5*w - 11]', '[254, 254, 5*w + 6]', '[254, 254, -2*w^2 + 7*w - 4]', '[254, 254, -3*w + 4]', '[254, 254, 3*w^2 + 2*w - 7]', '[256, 8, -4*w^2 + 8*w + 16]', '[256, 8, 4*w^2 - 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6*w - 16]', '[284, 142, -w^2 + 5*w + 6]', '[284, 142, w^2 - 4*w - 12]', '[284, 284, 2*w^2 + w - 7]', '[284, 284, 3*w^2 - 4*w - 11]', '[289, 17, 3*w^2 - 5*w - 9]', '[289, 289, 2*w + 7]', '[290, 290, -4*w^2 + 9*w + 13]', '[290, 290, 4*w^2 - 5*w - 26]', '[293, 293, 2*w^2 - 8*w - 5]', '[295, 295, -6*w^2 + 10*w + 29]', '[296, 74, 6*w^2 - 10*w - 26]', '[296, 148, w^2 - 6*w + 10]', '[296, 148, 3*w^2 - 11*w + 4]', '[296, 296, 5*w^2 - 10*w - 19]', '[297, 33, -3*w^2 + 3*w + 3]', '[302, 302, 3*w^2 + 2*w - 3]', '[302, 302, 2*w^2 + w + 2]', '[305, 305, -5*w^2 + 3*w + 39]', '[305, 305, -3*w^2 + 3*w + 11]', '[305, 305, 2*w^2 - 2*w + 1]', '[307, 307, 3*w^2 - 7*w - 11]', '[311, 311, 3*w^2 - w - 13]', '[314, 314, 2*w^2 + 5*w - 1]', '[314, 314, 7*w + 4]', '[316, 158, -3*w^2 + 3*w + 22]', '[316, 158, 5*w^2 - 10*w - 16]', '[316, 316, 5*w^2 - 12*w - 13]', '[317, 317, 5*w^2 - 9*w - 19]', '[317, 317, -2*w^2 + 6*w + 15]', '[317, 317, w^2 - 7*w - 1]', '[319, 319, w^2 - 5*w - 7]', '[320, 20, 4*w^2 - 4*w - 28]', '[320, 40, -2*w^2 - 6*w]', '[320, 40, 3*w^2 - 2]', '[320, 40, 2*w^2 + 4*w + 4]', '[320, 80, 2*w^2 - 18]', '[320, 160, -7*w^2 + 11*w + 36]', '[320, 320, 3*w - 11]', '[326, 326, w^2 - 6*w - 5]', '[326, 326, 2*w^2 - 9*w - 2]', '[328, 82, 4*w - 2]', '[328, 164, -3*w^2 + 10*w + 6]', '[328, 164, -w^2 + 5*w + 8]', '[328, 328, -2*w^2 + 3*w - 1]', '[331, 331, w^2 + 3*w - 3]', '[332, 166, -3*w^2 + 5*w + 8]', '[332, 166, 3*w^2 - 2*w - 16]', '[332, 166, 7*w^2 - 12*w - 32]', '[332, 166, -9*w^2 + 11*w + 52]', '[332, 166, w^2 + 8*w + 4]', '[332, 166, 3*w^2 + 7*w]', '[332, 332, 6*w^2 - 11*w - 23]', '[332, 332, w^2 - 2*w - 11]', '[332, 332, 3*w^2 + 10*w + 7]', '[334, 334, -2*w^2 + 7*w + 6]', '[334, 334, w^2 + 2*w - 5]', '[335, 335, -2*w + 9]', '[337, 337, 4*w - 11]', '[340, 170, w^2 + w + 4]', '[340, 170, 3*w^2 - 4*w - 4]', '[340, 340, 3*w^2 - 7]', '[343, 7, -7]', '[347, 347, -3*w^2 + w + 27]', '[352, 44, 2*w^2 - 6*w - 8]', '[352, 44, -2*w^2 + 4*w + 16]', '[352, 88, -2*w^2 + 10]', '[352, 88, 3*w^2 - 4*w - 10]', '[352, 176, 3*w^2 - 5*w - 6]', '[352, 352, w + 7]', '[353, 353, -3*w^2 + 9*w + 7]', '[355, 355, -5*w^2 + 7*w + 31]', '[355, 355, -4*w^2 + 8*w + 25]', '[359, 359, -7*w^2 + 11*w + 39]', '[367, 367, 5*w^2 - 9*w - 23]', '[370, 370, 8*w^2 - 15*w - 32]', '[370, 370, -3*w^2 + 2*w + 3]', '[373, 373, 6*w + 5]', '[374, 374, -3*w^2 + 4*w + 21]', '[374, 374, 4*w^2 - 7*w - 14]', '[379, 379, -4*w^2 + 8*w + 17]', '[379, 379, -w^2 - 7*w - 1]', '[379, 379, -5*w^2 + 7*w + 23]', '[382, 382, -6*w^2 + 9*w + 28]', '[382, 382, -w^2 + 6*w - 7]', '[386, 386, -4*w^2 + 13*w + 2]', '[386, 386, -3*w^2 + 8*w + 9]', '[388, 194, w^2 - 2*w + 4]', '[388, 194, 3*w^2 - 3*w - 10]', '[388, 388, -2*w^2 + 5*w + 17]', '[395, 395, -3*w^2 + w + 25]', '[397, 397, 7*w^2 - 11*w - 37]', '[397, 397, 3*w^2 - 5*w - 21]', '[397, 397, -3*w^2 - w + 3]', '[398, 398, 4*w^2 - 5*w - 17]', '[398, 398, -w + 8]', '[400, 20, -w^2 + 4*w - 6]', '[400, 20, -4*w^2 + 6*w + 16]', '[400, 20, -2*w^2 + 8*w - 2]', '[400, 40, -3*w^2 + 7*w + 12]', '[400, 80, 3*w^2 - 2*w - 17]', '[400, 100, -6*w - 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11*w - 9]', '[1874, 1874, 4*w^2 - 17*w - 4]', '[1879, 1879, 2*w^2 + 2*w - 21]', '[1879, 1879, 5*w^2 - 3*w - 15]', '[1879, 1879, 3*w^2 - 11*w - 11]', '[1882, 1882, -11*w^2 + 16*w + 53]', '[1882, 1882, 2*w^2 + w - 26]', '[1888, 236, -10*w^2 + 14*w + 48]', '[1888, 236, 2*w^2 - 24]', '[1888, 472, 6*w - 14]', '[1888, 472, -9*w^2 + 20*w + 22]', '[1888, 944, -7*w^2 + 13*w + 34]', '[1888, 1888, -3*w^2 + 10*w - 7]', '[1894, 1894, w^2 - 10*w - 17]', '[1894, 1894, 4*w^2 - 15*w + 1]', '[1894, 1894, 4*w^2 - 15*w + 2]', '[1894, 1894, -2*w^2 - 5*w + 6]', '[1894, 1894, 6*w^2 - 9*w - 22]', '[1894, 1894, 5*w^2 - 12*w - 19]', '[1895, 1895, 21*w^2 - 33*w - 103]', '[1895, 1895, 6*w - 7]', '[1895, 1895, w^2 + 7*w - 3]', '[1906, 1906, -6*w^2 + 3*w + 4]', '[1906, 1906, 6*w^2 - 9*w - 2]', '[1906, 1906, 5*w^2 - 19]', '[1906, 1906, -4*w^2 - 5*w - 5]', '[1906, 1906, 5*w^2 - 2*w - 5]', '[1906, 1906, -2*w^2 + 9*w + 14]', '[1907, 1907, 4*w^2 - 12*w - 13]', '[1910, 1910, 7*w - 4]', '[1910, 1910, -2*w^2 + 9*w + 15]', '[1913, 1913, 10*w + 13]', '[1917, 213, -6*w - 15]', '[1917, 213, 9*w^2 - 9*w - 57]', '[1921, 1921, -2*w^2 - 12*w - 9]', '[1928, 482, 2*w^2 + 2*w - 14]', '[1928, 964, -5*w^2 + 11*w + 30]', '[1928, 964, -5*w^2 + 14*w + 14]', '[1928, 1928, -w^2 + 2*w - 9]', '[1930, 1930, 11*w + 8]', '[1930, 1930, 12*w^2 - 23*w - 47]', '[1931, 1931, 5*w^2 + 7*w + 5]', '[1933, 1933, -5*w^2 - w + 5]', '[1936, 44, w^2 - 8*w + 6]', '[1936, 44, 4*w^2 - 10*w - 20]', '[1936, 44, -6*w^2 + 4*w + 30]', '[1936, 88, 5*w^2 - 7*w - 14]', '[1936, 176, -2*w^2 + 5*w + 21]', '[1936, 484, 4*w^2 - 10*w - 24]', '[1936, 484, -w^2 - 4*w + 10]', '[1936, 484, 2*w^2 - 4*w + 6]', '[1936, 968, 5*w^2 - 5*w - 16]', '[1936, 1936, 2*w^2 - 11*w + 1]', '[1940, 970, -13*w^2 + 19*w + 64]', '[1940, 970, 7*w^2 + 8*w - 4]', '[1940, 1940, -4*w^2 - 15*w - 9]', '[1943, 1943, 8*w^2 - 20*w - 5]', '[1948, 974, -13*w^2 + 17*w + 66]', '[1948, 974, 5*w^2 - 6*w - 36]', '[1948, 974, 3*w^2 + 4]', '[1948, 974, 5*w^2 + w - 8]', '[1948, 974, -3*w^2 + 20]', '[1948, 974, 7*w^2 - 15*w - 14]', '[1948, 1948, 3*w^2 - 23]', '[1948, 1948, w^2 + 10*w + 17]', '[1948, 1948, -w + 13]', '[1949, 1949, 5*w^2 - 3*w - 27]', '[1952, 244, 2*w^2 - 16*w - 8]', '[1952, 244, -2*w^2 - 10*w]', '[1952, 244, -6*w^2 + 10*w + 8]', '[1952, 244, 2*w^2 + 4*w - 8]', '[1952, 244, 14*w^2 - 28*w - 48]', '[1952, 244, -10*w^2 + 10*w + 68]', '[1952, 488, -2*w^2 - 6]', '[1952, 488, 11*w^2 - 36*w + 6]', '[1952, 488, -2*w^2 - 12*w - 10]', '[1952, 488, 3*w^2 + 4*w + 6]', '[1952, 488, -3*w^2 + 12*w + 10]', '[1952, 488, 14*w^2 - 32*w - 38]', '[1952, 976, 5*w^2 + w + 2]', '[1952, 976, -5*w^2 + w + 12]', '[1952, 976, -5*w^2 + w + 44]', '[1952, 1952, 16*w^2 - 39*w - 33]', '[1952, 1952, 6*w^2 + 5*w - 3]', '[1952, 1952, 9*w - 1]', '[1954, 1954, 2*w^2 + 3*w - 26]', '[1954, 1954, -6*w^2 + 5*w + 35]', '[1954, 1954, 5*w - 19]', '[1954, 1954, -11*w^2 + 18*w + 55]', '[1954, 1954, 6*w^2 - 13*w - 24]', '[1954, 1954, -12*w^2 + 19*w + 62]', '[1961, 1961, 5*w^2 - 7*w - 9]', '[1961, 1961, -12*w^2 + 14*w + 69]', '[1961, 1961, -8*w^2 + 14*w + 41]', '[1964, 982, 5*w^2 - 18*w + 4]', '[1964, 982, 7*w^2 - 15*w - 26]', '[1964, 1964, 9*w^2 - 26*w - 3]', '[1966, 1966, -10*w^2 + 27*w + 18]', '[1966, 1966, -w^2 + 8*w - 9]', '[1972, 986, -3*w^2 + 14*w - 12]', '[1972, 986, -9*w^2 + 17*w + 38]', '[1972, 1972, 10*w^2 - 11*w - 59]', '[1975, 395, -w^2 - 11*w - 1]', '[1975, 1975, 7*w^2 - 15*w - 13]', '[1979, 1979, -3*w^2 + 11*w - 9]', '[1985, 1985, 6*w^2 - 8*w - 23]', '[1985, 1985, w^2 + w + 9]', '[1985, 1985, -24*w^2 + 32*w + 137]', '[1987, 1987, -18*w^2 + 22*w + 105]', '[1990, 1990, 6*w^2 + 3*w - 10]', '[1990, 1990, -21*w^2 + 30*w + 109]', '[1994, 1994, 7*w^2 - 14*w - 19]', '[1994, 1994, 8*w^2 - 23*w - 2]', '[1997, 1997, 4*w - 17]', '[1998, 222, -6*w^2 + 15*w + 18]', '[1998, 222, 3*w^2 - 21]', '[2000, 20, 10*w]', '[2000, 20, -5*w^2 + 10]', '[2000, 20, 10*w + 10]', '[2000, 40, 5*w^2 + 5*w - 10]', '[2000, 80, -5*w^2 + 5]', '[2000, 500, -8*w^2 + 14*w + 44]', '[2000, 500, 3*w^2 - 22]', '[2000, 500, 2*w - 14]', '[2000, 1000, -7*w^2 + 9*w + 30]', '[2000, 2000, -w^2 + 8*w - 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31]', '[9977, 9977, -8*w^2 + 18*w + 45]', '[9979, 9979, 9*w^2 - 19*w - 45]', '[9979, 9979, 3*w^2 + 5*w - 49]', '[9979, 9979, 9*w^2 - 21*w - 35]', '[9985, 9985, -9*w^2 + 3*w + 25]', '[9986, 9986, -4*w^2 + 27*w + 14]', '[9986, 9986, 3*w^2 + 16*w - 1]', '[9988, 4994, -9*w^2 + 11*w + 12]', '[9988, 4994, 5*w^2 + 6*w - 16]', '[9988, 9988, -3*w^2 - 4*w - 13]', '[9990, 1110, 24*w^2 - 45*w - 96]', '[9990, 1110, -9*w^2 + 6*w + 9]', '[9991, 9991, -6*w^2 - 14*w + 5]', '[9992, 2498, 10*w^2 - 10*w - 38]', '[9992, 4996, w^2 - 2*w + 18]', '[9992, 4996, -9*w^2 + 19*w + 66]', '[9992, 9992, 5*w^2 - 16*w - 29]', '[9998, 9998, -3*w^2 - 6*w + 43]', '[9998, 9998, 20*w^2 - 49*w - 46]', '[10000, 100, 8*w^2 - 2*w - 12]', '[10000, 100, 7*w^2 - 8*w + 2]', '[10000, 100, 10*w^2 - 20*w - 50]', '[10000, 100, 2*w^2 + 12*w + 22]', '[10000, 100, 15*w^2 - 20*w - 70]', '[10000, 100, -10*w + 20]', '[10000, 200, 5*w^2 - 15*w + 10]', '[10000, 200, w^2 - 19*w - 14]', '[10000, 400, 10*w^2 - 15*w - 35]', '[10000, 400, -6*w^2 - 11*w + 9]', '[10000, 2500, -4*w^2 - 6*w - 12]', '[10000, 2500, -9*w^2 + 8*w + 10]', '[10000, 2500, -10*w^2 - 4*w + 18]', '[10000, 5000, 3*w^2 + 15*w - 2]', '[10000, 10000, 2*w^2 + 19*w + 19]'], 'label': '3.3.568.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w]', '[2, 2, w + 1]', '[5, 5, w^2 - w - 7]', '[11, 11, -w^2 + w + 1]', '[17, 17, -w^2 + w + 3]', '[25, 5, -w^2 - w - 1]', '[27, 3, 3]', '[29, 29, -w^2 + 3*w - 1]', '[37, 37, 3*w^2 - 5*w - 13]', '[41, 41, 2*w - 1]', '[53, 53, 5*w^2 - 9*w - 21]', '[53, 53, 3*w^2 - 5*w - 15]', '[53, 53, w^2 - 3*w - 7]', '[59, 59, w^2 - 3*w - 5]', '[61, 61, 2*w^2 - 4*w - 9]', '[61, 61, 2*w - 7]', '[61, 61, 2*w - 5]', '[67, 67, -w^2 + w - 1]', '[71, 71, -2*w - 5]', '[71, 71, 3*w^2 - 3*w - 19]', '[79, 79, 2*w - 3]', '[83, 83, 2*w^2 - 5]', '[83, 83, w^2 - w - 9]', '[83, 83, -2*w^2 + 4*w + 11]', '[97, 97, 4*w + 3]', '[101, 101, -6*w^2 + 8*w + 35]', '[103, 103, 2*w^2 - 2*w - 7]', '[109, 109, -3*w^2 + 3*w + 17]', '[113, 113, w^2 + 3*w - 1]', '[121, 11, -5*w^2 + 7*w + 25]', '[127, 127, -2*w^2 + 19]', '[127, 127, 2*w^2 - 2*w - 15]', '[127, 127, 3*w^2 - 3*w - 13]', '[137, 137, -4*w^2 + 8*w + 13]', '[139, 139, -2*w^2 + 2*w + 3]', '[151, 151, w^2 + w - 5]', '[157, 157, 2*w^2 - 2*w - 5]', '[163, 163, -w^2 + 3*w - 3]', '[167, 167, 3*w^2 - 5*w - 11]', '[191, 191, -w^2 - w - 3]', '[193, 193, w^2 - 5*w + 7]', '[199, 199, 4*w^2 - 4*w - 25]', '[211, 211, -4*w^2 + 6*w + 25]', '[223, 223, w^2 + 5*w + 7]', '[227, 227, 4*w - 1]', '[229, 229, w^2 - 5*w - 5]', '[241, 241, w^2 + w - 7]', '[257, 257, 2*w^2 - 9]', '[263, 263, 2*w^2 + 2*w - 5]', '[271, 271, w^2 - 3*w - 11]', '[277, 277, 2*w^2 - 6*w - 7]', '[281, 281, w^2 - w - 11]', '[283, 283, 4*w^2 - 6*w - 17]', '[289, 17, 3*w^2 - 5*w - 9]', '[293, 293, 2*w^2 - 8*w - 5]', '[307, 307, 3*w^2 - 7*w - 11]', '[311, 311, 3*w^2 - w - 13]', '[317, 317, 5*w^2 - 9*w - 19]', '[317, 317, -2*w^2 + 6*w + 15]', '[317, 317, w^2 - 7*w - 1]', '[331, 331, w^2 + 3*w - 3]', '[337, 337, 4*w - 11]', '[343, 7, -7]', '[347, 347, -3*w^2 + w + 27]', '[353, 353, -3*w^2 + 9*w + 7]', '[359, 359, -7*w^2 + 11*w + 39]', '[367, 367, 5*w^2 - 9*w - 23]', '[373, 373, 6*w + 5]', '[379, 379, -4*w^2 + 8*w + 17]', '[379, 379, -w^2 - 7*w - 1]', '[379, 379, -5*w^2 + 7*w + 23]', '[397, 397, 7*w^2 - 11*w - 37]', '[397, 397, 3*w^2 - 5*w - 21]', '[397, 397, -3*w^2 - w + 3]', '[401, 401, -12*w^2 + 16*w + 69]', '[419, 419, -10*w^2 + 12*w + 59]', '[419, 419, 2*w^2 - 6*w - 9]', '[419, 419, -5*w^2 + 5*w + 31]', '[431, 431, 5*w^2 - 13*w - 11]', '[433, 433, 2*w^2 - 2*w - 17]', '[439, 439, 2*w^2 - 11]', '[439, 439, w^2 + w - 15]', '[439, 439, -w^2 - 5*w + 1]', '[443, 443, -2*w^2 - 2*w + 25]', '[449, 449, -w^2 + 3*w - 5]', '[457, 457, 2*w^2 - 17]', '[463, 463, 7*w^2 - 13*w - 29]', '[467, 467, -2*w^2 - 4*w + 3]', '[487, 487, 2*w^2 - 6*w - 13]', '[487, 487, -6*w^2 + 8*w + 37]', '[487, 487, -3*w^2 + w + 7]', '[491, 491, -4*w^2 + 8*w + 7]', '[503, 503, -3*w^2 + 3*w + 5]', '[509, 509, 6*w^2 - 10*w - 31]', '[521, 521, -5*w^2 + 5*w + 29]', '[521, 521, 6*w^2 - 6*w - 41]', '[521, 521, 4*w^2 - 6*w - 15]', '[523, 523, -6*w^2 + 10*w + 33]', '[541, 541, 6*w^2 - 10*w - 25]', '[541, 541, 3*w^2 - 3*w - 7]', '[541, 541, -w^2 - w - 5]', '[557, 557, -3*w^2 + 3*w + 23]', '[563, 563, 5*w^2 - 11*w - 17]', '[571, 571, 8*w + 5]', '[571, 571, 2*w^2 - 4*w - 17]', '[571, 571, 6*w^2 - 12*w - 23]', '[577, 577, -5*w^2 + 9*w + 25]', '[577, 577, 4*w^2 - 8*w - 19]', '[577, 577, -10*w^2 + 16*w + 49]', '[587, 587, 8*w^2 - 16*w - 27]', '[587, 587, 2*w^2 - 15]', '[587, 587, 4*w - 9]', '[601, 601, -13*w^2 + 19*w + 71]', '[607, 607, -3*w^2 - 9*w - 1]', '[607, 607, 3*w^2 - 7*w - 15]', '[607, 607, 2*w^2 + 6*w + 7]', '[613, 613, -5*w^2 + 11*w + 9]', '[619, 619, -w^2 - 9*w - 5]', '[631, 631, -w^2 + w - 5]', '[631, 631, w^2 - 7*w - 13]', '[631, 631, -11*w^2 + 15*w + 57]', '[647, 647, w^2 - w - 13]', '[653, 653, 4*w^2 - 6*w - 27]', '[653, 653, 4*w - 7]', '[653, 653, -6*w + 1]', '[673, 673, -7*w^2 + 7*w + 45]', '[677, 677, 2*w^2 + 3]', '[683, 683, -3*w^2 + 11*w + 7]', '[691, 691, -2*w - 9]', '[719, 719, -10*w^2 + 12*w + 55]', '[751, 751, 4*w^2 - 6*w - 13]', '[751, 751, -4*w^2 + 12*w + 9]', '[751, 751, 4*w^2 - 2*w - 19]', '[761, 761, 11*w^2 - 21*w - 41]', '[769, 769, -2*w^2 + 4*w - 3]', '[797, 797, 15*w^2 - 19*w - 85]', '[809, 809, 2*w - 11]', '[811, 811, 4*w^2 + 2*w - 11]', '[811, 811, -4*w^2 + 2*w + 31]', '[811, 811, 3*w^2 + w - 11]', '[821, 821, 4*w^2 + 1]', '[827, 827, -2*w^2 + 2*w - 3]', '[829, 829, -w^2 - 5*w - 9]', '[839, 839, -4*w^2 + 3]', '[841, 29, w^2 - 5*w - 15]', '[853, 853, w^2 - 7*w - 11]', '[859, 859, -w^2 + 7*w + 9]', '[877, 877, 6*w^2 - 8*w - 27]', '[883, 883, 3*w^2 - w - 17]', '[887, 887, -10*w^2 + 14*w + 59]', '[887, 887, -4*w - 11]', '[887, 887, w^2 + 3*w - 7]', '[907, 907, -15*w^2 + 19*w + 83]', '[929, 929, -8*w - 7]', '[929, 929, -8*w^2 + 10*w + 39]', '[929, 929, -5*w^2 + 7*w + 33]', '[937, 937, -2*w^2 + 6*w - 5]', '[941, 941, -4*w^2 + 4*w + 5]', '[947, 947, 3*w^2 - 5*w - 23]', '[947, 947, 4*w^2 + 4*w + 3]', '[947, 947, w^2 + 3*w - 21]', '[953, 953, 2*w^2 - 8*w - 9]', '[953, 953, -w^2 + 7*w - 3]', '[953, 953, 7*w^2 - 9*w - 33]', '[977, 977, -2*w^2 + 10*w + 7]', '[977, 977, -w^2 - 9*w - 1]', '[977, 977, 2*w^2 + 4*w - 5]', '[983, 983, 9*w^2 - 19*w - 27]', '[997, 997, -w^2 + 9*w - 17]']}
14. label: 3.3.621.1
    {'degree': 3, 'discriminant': 621, 'ideals': ['[1, 1, 1]', '[2, 2, w + 1]', '[3, 3, w]', '[4, 2, -w^2 + w + 5]', '[4, 4, -w^2 + w + 4]', '[6, 6, -w^2 + w + 6]', '[7, 7, -w + 2]', '[8, 2, 2]', '[8, 8, -w + 1]', '[9, 3, w^2 - 6]', '[12, 6, w^2 - w - 3]', '[12, 12, w^2 - 2*w - 3]', '[14, 14, -w^2 + w + 2]', '[16, 4, -w^2 - w + 1]', '[16, 4, 2*w + 2]', '[16, 16, -w^2 + 1]', '[18, 6, w^2 - 3]', '[19, 19, -2*w^2 + w + 10]', '[21, 21, 2*w + 3]', '[23, 23, -w^2 + 8]', '[23, 23, -w^2 + 2]', '[24, 6, 2*w]', '[24, 24, -w^2 + w]', '[27, 3, 3]', '[28, 14, w^2 + w + 1]', '[28, 28, 2*w^2 - w - 13]', '[29, 29, -w^2 + 2*w + 4]', '[32, 4, -2*w^2 + 2*w + 10]', '[32, 8, -2*w^2 + 2*w + 8]', '[32, 32, w^2 - w - 8]', '[36, 6, -w^2 + 3*w + 3]', '[36, 12, w^2 + 3*w]', '[37, 37, w^2 - 2*w - 8]', '[38, 38, -w^2 - w + 4]', '[41, 41, 4*w^2 - 3*w - 20]', '[42, 42, -3*w^2 + 2*w + 15]', '[43, 43, -w - 4]', '[46, 46, -w^2 + 2*w + 5]', '[46, 46, 3*w^2 - 2*w - 19]', '[47, 47, 2*w - 1]', '[48, 12, w^2 + w - 9]', '[48, 12, -2*w^2 + 2*w + 12]', '[48, 48, -2*w^2 + w + 9]', '[49, 7, -2*w^2 + 3*w + 4]', '[49, 49, 2*w^2 - 2*w - 11]', '[54, 6, 3*w + 3]', '[56, 14, -2*w + 4]', '[56, 56, w^2 - 2*w - 7]', '[57, 57, w^2 - 2*w - 6]', '[58, 58, w^2 + 1]', '[59, 59, 2*w^2 - 13]', '[61, 61, -3*w^2 + 4*w + 10]', '[63, 21, 2*w^2 - 15]', '[64, 4, 4]', '[64, 8, -w^2 - w + 5]', '[64, 16, -2*w + 2]', '[64, 64, w^2 - 2*w + 1]', '[67, 67, 2*w^2 - 2*w - 7]', '[69, 69, -4*w^2 + 2*w + 21]', '[69, 69, 2*w - 3]', '[71, 71, -3*w - 4]', '[72, 6, 2*w^2 - 12]', '[72, 24, w^2 - 9]', '[74, 74, -w^2 - 4*w - 5]', '[76, 38, -w^2 + w - 1]', '[76, 76, -w^2 + 4*w + 1]', '[79, 79, 2*w^2 - 3*w - 8]', '[81, 9, 3*w]', '[82, 82, w^2 + w - 8]', '[83, 83, 2*w^2 - w - 14]', '[83, 83, -4*w^2 + 3*w + 22]', '[83, 83, 2*w^2 - w - 8]', '[84, 42, -w^2 + w + 9]', '[84, 84, -w^2 - w + 6]', '[86, 86, -w^2 - 5*w - 4]', '[87, 87, 2*w^2 - 2*w - 3]', '[92, 46, -w^2 - 3*w + 1]', '[92, 46, -w^2 - w + 7]', '[92, 92, w^2 + w + 2]', '[92, 92, -w + 5]', '[94, 94, 2*w^2 + w - 1]', '[96, 12, 2*w^2 - 2*w - 6]', '[96, 24, 2*w^2 - 4*w - 6]', '[96, 96, -w^2 - 2*w + 3]', '[97, 97, 4*w^2 - 2*w - 25]', '[98, 14, w^2 - 5*w - 2]', '[98, 98, -w - 5]', '[101, 101, 3*w^2 - 2*w - 14]', '[103, 103, 2*w^2 - 7]', '[108, 6, -3*w^2 + 3*w + 15]', '[108, 12, -3*w^2 + 3*w + 12]', '[109, 109, 2*w^2 + 2*w - 1]', '[111, 111, -2*w^2 - 2*w + 3]', '[112, 28, -2*w^2 + 2*w + 4]', '[112, 28, -w^2 + 3*w + 5]', '[112, 112, -2*w^2 + 5*w + 5]', '[113, 113, w^2 - 4*w - 4]', '[113, 113, 4*w^2 - 4*w - 17]', '[113, 113, 2*w^2 - 2*w - 5]', '[114, 114, -w^2 - 2*w - 3]', '[116, 58, -w^2 - w + 11]', '[116, 116, 3*w^2 - w - 14]', '[118, 118, 2*w^2 - w - 7]', '[122, 122, w^2 - 4*w + 1]', '[123, 123, -3*w^2 + 4*w + 12]', '[125, 5, -5]', '[126, 42, 2*w^2 - 3*w - 9]', '[128, 8, -2*w^2 - 2*w + 2]', '[128, 8, 4*w + 4]', '[128, 32, -2*w^2 + 2]', '[128, 128, -w^2 + 5*w + 4]', '[129, 129, -w^2 - 4*w]', '[131, 131, -5*w^2 + 2*w + 26]', '[133, 133, 3*w^2 - 4*w - 4]', '[134, 134, 3*w - 1]', '[137, 137, 3*w^2 - 2*w - 20]', '[137, 137, -w^2 + 2*w - 2]', '[137, 137, -w^2 - 2]', '[138, 138, 2*w^2 - w - 3]', '[138, 138, -2*w^2 - 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2*w - 26]', '[1902, 1902, -5*w^2 + 4*w + 15]', '[1907, 1907, 3*w - 14]', '[1907, 1907, 3*w^2 + 12*w + 2]', '[1907, 1907, 6*w^2 - 37]', '[1909, 1909, -6*w^2 + 35]', '[1909, 1909, 6*w^2 - 2*w - 25]', '[1909, 1909, 6*w^2 - 8*w - 13]', '[1909, 1909, 18*w^2 - 8*w - 109]', '[1909, 1909, -2*w - 13]', '[1909, 1909, 12*w^2 - 8*w - 61]', '[1912, 478, 10*w^2 - 4*w - 64]', '[1912, 1912, 7*w^2 - 47]', '[1913, 1913, -8*w^2 + 55]', '[1917, 213, -9*w - 12]', '[1918, 1918, 8*w^2 - 13*w - 13]', '[1918, 1918, 6*w^2 - 3*w - 25]', '[1918, 1918, 6*w^2 - 5*w - 7]', '[1919, 1919, 20*w^2 - 10*w - 119]', '[1923, 1923, 4*w^2 + 2*w + 3]', '[1923, 1923, 4*w^2 - 10*w + 3]', '[1923, 1923, -11*w^2 + 10*w + 54]', '[1927, 1927, 9*w^2 - 6*w - 58]', '[1928, 482, 4*w^2 + 2]', '[1928, 1928, 2*w^2 - 13*w - 5]', '[1929, 1929, -w^2 + 8*w + 12]', '[1932, 966, -w^2 + 11*w + 3]', '[1932, 966, -5*w^2 - w + 15]', '[1932, 1932, -2*w^2 + 7*w + 15]', '[1932, 1932, -8*w^2 + w + 51]', '[1934, 1934, -w^2 + 2*w + 17]', '[1934, 1934, -9*w - 13]', '[1934, 1934, 3*w^2 + 3*w - 16]', '[1941, 1941, -11*w^2 + 8*w + 54]', '[1943, 1943, -w^2 + 8*w - 10]', '[1944, 18, 6*w^2 - 36]', '[1944, 72, 3*w^2 - 27]', '[1951, 1951, 9*w^2 - 4*w - 58]', '[1952, 244, -6*w^2 - 6*w + 58]', '[1952, 488, -14*w + 38]', '[1952, 1952, 12*w^2 - 9*w - 59]', '[1954, 1954, 5*w^2 + 5*w - 4]', '[1954, 1954, 6*w^2 + 9*w - 1]', '[1954, 1954, -4*w^2 - 13*w - 13]', '[1956, 978, w^2 + 7*w - 3]', '[1956, 978, 3*w^2 - 5*w + 3]', '[1956, 978, -11*w^2 + 11*w + 51]', '[1956, 1956, 4*w^2 - 13*w - 3]', '[1956, 1956, -3*w^2 + 2*w - 3]', '[1956, 1956, -11*w^2 + 13*w + 42]', '[1957, 1957, 10*w^2 - 7*w - 64]', '[1959, 1959, -6*w^2 + 10*w + 21]', '[1962, 654, 5*w^2 + 12*w + 9]', '[1964, 982, 5*w^2 - w - 17]', '[1964, 1964, 3*w^2 - 7*w - 16]', '[1968, 492, 2*w^2 - 4*w + 6]', '[1968, 492, -w^2 - 5*w + 9]', '[1968, 1968, 3*w^2 - 11*w]', '[1973, 1973, 8*w^2 - 3*w - 38]', '[1974, 1974, 7*w^2 - 8*w - 33]', '[1978, 1978, -10*w^2 + 9*w + 67]', '[1978, 1978, 2*w^2 - 7*w - 17]', '[1979, 1979, 2*w^2 - 7*w - 16]', '[1981, 1981, 3*w^2 + 4*w - 34]', '[1983, 1983, -4*w^2 + 11*w + 12]', '[1988, 994, 3*w^2 + 3*w - 25]', '[1988, 1988, -5*w^2 + 7*w + 34]', '[1992, 498, 6*w^2 - 4*w - 24]', '[1992, 498, -2*w^2 + 8*w + 12]', '[1992, 498, -2*w^2 - 4*w + 12]', '[1992, 1992, w^2 - 2*w + 9]', '[1992, 1992, 5*w^2 - 8*w - 21]', '[1992, 1992, -5*w^2 + 4*w + 9]', '[1993, 1993, 2*w^2 - 3*w - 22]', '[1994, 1994, -5*w^2 - w + 28]', '[1994, 1994, 4*w^2 + 11*w - 1]', '[1994, 1994, 5*w^2 - 2*w - 17]', '[1998, 222, -3*w^2 - 12*w - 15]', '[1999, 1999, 5*w^2 + 2*w - 4]', '[2000, 20, 5*w^2 + 5*w - 5]', '[2000, 20, -10*w - 10]', '[2000, 80, 5*w^2 - 5]', '[2001, 2001, -4*w^2 - 4*w + 15]', '[2001, 2001, -9*w^2 + 2*w + 54]', '[2003, 2003, -2*w^2 - 9*w - 14]', '[2004, 1002, -w^2 - 5*w + 15]', '[2004, 2004, 2*w^2 - 7*w + 9]', '[2009, 287, -10*w^2 + 8*w + 55]', '[2009, 2009, -4*w^2 + 9*w - 2]', '[2011, 2011, 5*w^2 - 16]', '[2016, 84, 2*w^2 + 6*w - 6]', '[2016, 168, -2*w^2 - 6]', '[2016, 672, -w^2 + 9*w]', '[2018, 2018, 3*w^2 + 5*w - 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14*w + 2]', '[9952, 2488, 6*w^2 - 2*w + 4]', '[9952, 9952, 4*w^2 - 21*w - 7]', '[9953, 9953, 12*w^2 - 16*w - 17]', '[9954, 3318, -w^2 - 9*w + 36]', '[9956, 4978, 11*w^2 - 3*w - 47]', '[9956, 9956, 7*w^2 - 11*w - 40]', '[9957, 9957, -10*w^2 + 10*w + 33]', '[9959, 9959, 17*w^2 - 8*w - 86]', '[9959, 9959, 10*w^2 + 8*w - 23]', '[9961, 9961, -4*w^2 - 6*w + 49]', '[9963, 369, 12*w^2 - 18*w - 27]', '[9973, 9973, 12*w^2 - 2*w - 85]', '[9974, 9974, 9*w^2 + 10*w - 5]', '[9976, 2494, 4*w^2 - 12*w - 26]', '[9976, 9976, 8*w^2 - 5*w - 19]', '[9978, 9978, -11*w + 21]', '[9983, 9983, -4*w^2 + 3*w - 8]', '[9983, 9983, 7*w^2 - 12*w - 34]', '[9983, 9983, -10*w^2 - 6*w + 85]', '[9987, 9987, -2*w^2 - 2*w - 15]', '[9987, 9987, -3*w^2 + 28*w + 18]', '[9987, 9987, -8*w^2 + 5*w + 18]', '[9989, 9989, 9*w^2 - 18*w - 28]', '[9991, 9991, -15*w^2 + 104]', '[9992, 2498, 8*w^2 + 2*w - 20]', '[9992, 9992, 3*w^2 - 13*w - 22]', '[9993, 9993, 8*w^2 - 5*w]'], 'label': '3.3.621.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w + 1]', '[3, 3, w]', '[4, 2, -w^2 + w + 5]', '[7, 7, -w + 2]', '[19, 19, -2*w^2 + w + 10]', '[23, 23, -w^2 + 8]', '[23, 23, -w^2 + 2]', '[29, 29, -w^2 + 2*w + 4]', '[37, 37, w^2 - 2*w - 8]', '[41, 41, 4*w^2 - 3*w - 20]', '[43, 43, -w - 4]', '[47, 47, 2*w - 1]', '[49, 7, -2*w^2 + 3*w + 4]', '[59, 59, 2*w^2 - 13]', '[61, 61, -3*w^2 + 4*w + 10]', '[67, 67, 2*w^2 - 2*w - 7]', '[71, 71, -3*w - 4]', '[79, 79, 2*w^2 - 3*w - 8]', '[83, 83, 2*w^2 - w - 14]', '[83, 83, -4*w^2 + 3*w + 22]', '[83, 83, 2*w^2 - w - 8]', '[97, 97, 4*w^2 - 2*w - 25]', '[101, 101, 3*w^2 - 2*w - 14]', '[103, 103, 2*w^2 - 7]', '[109, 109, 2*w^2 + 2*w - 1]', '[113, 113, w^2 - 4*w - 4]', '[113, 113, 4*w^2 - 4*w - 17]', '[113, 113, 2*w^2 - 2*w - 5]', '[125, 5, -5]', '[131, 131, -5*w^2 + 2*w + 26]', '[137, 137, 3*w^2 - 2*w - 20]', '[137, 137, -w^2 + 2*w - 2]', '[137, 137, -w^2 - 2]', '[149, 149, w^2 + 2*w - 4]', '[149, 149, 2*w^2 + w - 2]', '[149, 149, 4*w^2 - 4*w - 19]', '[151, 151, w^2 - 10]', '[151, 151, -6*w^2 + 4*w + 31]', '[151, 151, 2*w^2 - 3*w - 14]', '[157, 157, 2*w^2 + w - 4]', '[163, 163, 4*w + 5]', '[163, 163, 2*w^2 - w - 4]', '[163, 163, 3*w^2 - 20]', '[167, 167, 2*w^2 - 3*w - 10]', '[173, 173, 2*w^2 - 5]', '[179, 179, -3*w^2 + 16]', '[181, 181, 3*w - 2]', '[197, 197, 3*w^2 - 4*w - 8]', '[199, 199, -2*w - 7]', '[229, 229, -w^2 - 2*w - 4]', '[233, 233, 3*w - 4]', '[239, 239, 5*w^2 - 2*w - 32]', '[241, 241, 2*w^2 + 1]', '[257, 257, w^2 + 2*w - 10]', '[269, 269, -5*w^2 + 4*w + 28]', '[283, 283, 2*w^2 + w - 14]', '[307, 307, -6*w - 5]', '[307, 307, -3*w^2 + 4*w + 14]', '[307, 307, 2*w^2 - w - 16]', '[311, 311, -w^2 - 2*w + 14]', '[313, 313, -2*w^2 + 4*w - 1]', '[317, 317, 3*w^2 + 4*w - 2]', '[337, 337, w^2 - 4*w - 8]', '[347, 347, -8*w^2 + 3*w + 46]', '[353, 353, 2*w^2 - 17]', '[361, 19, -3*w^2 + 2*w + 4]', '[367, 367, 2*w^2 + 5*w - 2]', '[373, 373, -2*w^2 + 2*w - 1]', '[379, 379, 3*w^2 - 4*w - 20]', '[397, 397, -w^2 + 2*w - 4]', '[397, 397, 3*w^2 - 10]', '[397, 397, 3*w^2 - 2*w - 10]', '[409, 409, -w^2 - 4]', '[409, 409, -4*w^2 + 4*w + 23]', '[409, 409, 2*w^2 - 5*w - 8]', '[421, 421, 2*w^2 - 4*w - 11]', '[433, 433, 8*w^2 - 4*w - 49]', '[443, 443, -3*w^2 + 4*w + 16]', '[449, 449, 6*w^2 - 3*w - 38]', '[457, 457, -6*w^2 + 5*w + 32]', '[461, 461, w - 8]', '[467, 467, -w - 8]', '[467, 467, 2*w^2 - 4*w - 13]', '[467, 467, -4*w - 11]', '[491, 491, 2*w^2 + 6*w - 1]', '[509, 509, 8*w^2 - 6*w - 43]', '[521, 521, 4*w^2 - 2*w - 17]', '[521, 521, 6*w + 7]', '[521, 521, 4*w - 7]', '[523, 523, 5*w^2 - 4*w - 22]', '[541, 541, 6*w^2 - w - 32]', '[541, 541, 4*w^2 - 8*w - 11]', '[541, 541, 3*w^2 - 4]', '[547, 547, 2*w^2 + 2*w - 17]', '[547, 547, 4*w - 5]', '[547, 547, -3*w^2 + 8*w + 8]', '[557, 557, 3*w^2 - 8]', '[557, 557, 6*w^2 - 4*w - 29]', '[557, 557, -2*w^2 + w - 2]', '[571, 571, -2*w^2 - 4*w + 5]', '[587, 587, 3*w^2 + 2*w + 2]', '[593, 593, -6*w^2 + 5*w + 34]', '[599, 599, -w^2 - 8*w - 10]', '[601, 601, -4*w^2 - 6*w + 1]', '[601, 601, 4*w^2 - 3*w - 28]', '[601, 601, 2*w^2 + 2*w - 11]', '[613, 613, 6*w^2 - w - 38]', '[617, 617, 2*w^2 - 5*w - 10]', '[617, 617, -10*w^2 + 6*w + 53]', '[617, 617, 7*w^2 - 4*w - 44]', '[619, 619, -3*w^2 - 4*w + 8]', '[631, 631, 6*w^2 - 6*w - 29]', '[641, 641, w^2 + 4*w - 4]', '[641, 641, -6*w^2 + 2*w + 29]', '[641, 641, -w^2 - 4*w - 8]', '[643, 643, 4*w^2 - w - 16]', '[647, 647, 3*w^2 + 6*w - 4]', '[653, 653, 7*w^2 - 6*w - 32]', '[661, 661, 4*w^2 - 4*w - 13]', '[673, 673, 2*w^2 + 8*w + 1]', '[673, 673, -8*w^2 + 6*w + 47]', '[673, 673, 2*w^2 + 3*w - 8]', '[683, 683, 8*w^2 - 7*w - 40]', '[709, 709, 5*w^2 - 26]', '[719, 719, 2*w^2 + 2*w - 13]', '[727, 727, -w^2 + 6*w - 2]', '[733, 733, w^2 - 6*w - 8]', '[751, 751, 4*w^2 - 7*w - 14]', '[757, 757, 4*w^2 - 5*w - 26]', '[761, 761, 2*w^2 - 5*w - 16]', '[769, 769, -2*w^2 + 8*w + 1]', '[787, 787, 5*w^2 - 2*w - 34]', '[797, 797, 2*w^2 + w - 20]', '[797, 797, 4*w^2 - 3*w - 14]', '[797, 797, -8*w^2 + 2*w + 53]', '[809, 809, -5*w^2 - 2*w + 40]', '[811, 811, -7*w - 8]', '[811, 811, 3*w^2 + 2*w - 14]', '[811, 811, -6*w^2 + 8*w + 19]', '[821, 821, -6*w^2 + w + 34]', '[823, 823, 4*w^2 + 2*w - 17]', '[823, 823, 4*w^2 - 4*w - 7]', '[823, 823, 4*w^2 - 6*w - 17]', '[841, 29, 2*w^2 - 5*w - 14]', '[857, 857, -8*w^2 + 4*w + 41]', '[859, 859, -10*w^2 + 7*w + 56]', '[859, 859, 2*w^2 - 19]', '[859, 859, 5*w^2 - 2*w - 22]', '[863, 863, 6*w - 1]', '[887, 887, w^2 - 14]', '[907, 907, 10*w^2 - 9*w - 46]', '[911, 911, -7*w - 10]', '[911, 911, 6*w^2 - 5*w - 26]', '[911, 911, 5*w - 4]', '[919, 919, -2*w^2 - 11*w - 8]', '[929, 929, w^2 - 6*w - 10]', '[937, 937, w - 10]', '[947, 947, 5*w^2 - 4*w - 20]', '[967, 967, -7*w^2 + 6*w + 38]', '[967, 967, 2*w^2 - 2*w - 19]', '[967, 967, 8*w^2 - 5*w - 40]', '[977, 977, 2*w^2 + 3*w - 10]', '[977, 977, 2*w^2 + 4*w - 7]', '[977, 977, 2*w^2 - 6*w - 19]', '[997, 997, -12*w^2 + 7*w + 64]', '[997, 997, 4*w^2 - 13]', '[997, 997, 5*w^2 - 32]']}
15. label: 3.3.697.1
    {'degree': 3, 'discriminant': 697, 'ideals': ['[1, 1, 1]', '[5, 5, w]', '[8, 2, 2]', '[11, 11, -w^2 + 2*w + 4]', '[11, 11, -w + 2]', '[11, 11, w - 1]', '[13, 13, -w^2 + w + 4]', '[17, 17, -w^2 + w + 8]', '[17, 17, -w^2 + w + 3]', '[19, 19, -w^2 + 6]', '[23, 23, -w^2 + 3]', '[25, 5, w^2 - 7]', '[25, 25, w^2 - 2*w - 5]', '[27, 3, -3]', '[31, 31, w^2 - 2*w - 8]', '[37, 37, w^2 - 2*w - 6]', '[40, 10, 2*w]', '[41, 41, -w - 4]', '[41, 41, w^2 - 2*w - 7]', '[47, 47, 2*w^2 - 3*w - 7]', '[53, 53, -w^2 + w + 9]', '[55, 55, 2*w^2 - 3*w - 10]', '[55, 55, -w^2 + 2*w]', '[55, 55, 2*w^2 - w - 10]', '[61, 61, 3*w^2 - 2*w - 17]', '[64, 4, 4]', '[65, 65, w^2 - 3*w - 5]', '[67, 67, 2*w - 1]', '[73, 73, 2*w^2 - 2*w - 9]', '[85, 85, w^2 + w - 5]', '[85, 85, -w + 5]', '[88, 22, -2*w^2 + 4*w + 8]', '[88, 22, -2*w + 4]', '[88, 22, 2*w - 2]', '[89, 89, 2*w^2 - 3*w - 11]', '[95, 95, -w - 5]', '[97, 97, 2*w^2 - w - 9]', '[97, 97, w^2 - 3*w - 6]', '[97, 97, 2*w - 3]', '[101, 101, 3*w^2 - 4*w - 13]', '[104, 26, -2*w^2 + 2*w + 8]', '[107, 107, 2*w^2 - 3*w - 14]', '[113, 113, 2*w^2 - 3*w - 12]', '[115, 115, -w^2 + w + 10]', '[121, 11, -w^2 + 3*w + 9]', '[121, 11, w^2 + w - 6]', '[121, 11, -w^2 - 2*w + 3]', '[121, 121, 2*w^2 - 3*w - 13]', '[121, 121, w^2 - 2*w + 1]', '[121, 121, w^2 - 3*w - 7]', '[125, 5, 5]', '[125, 125, -2*w^2 + 2*w + 5]', '[127, 127, -w^2 + w - 1]', '[127, 127, 2*w^2 - 2*w - 7]', '[127, 127, w^2 + 3*w - 1]', '[131, 131, w^2 - 3*w - 8]', '[135, 15, -3*w]', '[136, 34, -2*w^2 + 2*w + 16]', '[136, 34, -2*w^2 + 2*w + 6]', '[137, 137, 2*w^2 - w - 8]', '[139, 139, 4*w^2 - 5*w - 19]', '[143, 143, w^2 - 2*w - 11]', '[143, 143, 2*w^2 - 4*w - 9]', '[143, 143, 2*w^2 - 7]', '[149, 149, w^2 + w - 7]', '[151, 151, w^2 - 4*w - 6]', '[152, 38, -2*w^2 + 12]', '[155, 155, -2*w^2 - w + 5]', '[157, 157, w^2 + w - 9]', '[163, 163, w^2 + w - 8]', '[169, 13, 2*w^2 - w - 7]', '[169, 169, -w + 6]', '[173, 173, w^2 - 5*w - 3]', '[179, 179, -w - 6]', '[184, 46, -2*w^2 + 6]', '[185, 185, -2*w^2 + w + 5]', '[187, 187, 2*w^2 - 13]', '[187, 187, 2*w^2 + w - 4]', '[187, 187, -2*w - 7]', '[187, 187, 2*w^2 - 5*w - 8]', '[187, 187, -w^2 - 2]', '[187, 187, 2*w^2 - w - 6]', '[191, 191, w^2 + 2*w - 4]', '[197, 197, 3*w - 1]', '[200, 10, 2*w^2 - 14]', '[200, 50, 2*w^2 - 4*w - 10]', '[205, 205, -w^2 - 4*w]', '[205, 205, -2*w^2 + 5]', '[209, 209, w^2 - w - 11]', '[209, 209, w^2 - 4*w - 7]', '[209, 209, -3*w^2 + 3*w + 14]', '[216, 6, -6]', '[221, 221, w^2 - 2*w + 2]', '[221, 221, w^2 + 3*w - 2]', '[229, 229, 3*w^2 - 4*w - 18]', '[233, 233, -w^2 + w - 2]', '[233, 233, -3*w^2 + 4*w + 11]', '[233, 233, 3*w^2 - w - 14]', '[235, 235, -3*w^2 + 7*w + 10]', '[239, 239, 3*w^2 - 5*w - 14]', '[241, 241, w^2 - 4*w - 11]', '[247, 247, -3*w^2 + 4*w + 19]', '[248, 62, 2*w^2 - 4*w - 16]', '[253, 253, -2*w^2 + 4*w + 11]', '[253, 253, w^2 - 4*w - 8]', '[253, 253, -3*w + 2]', '[257, 257, -2*w^2 + 2*w + 17]', '[263, 263, 3*w^2 - 3*w - 23]', '[265, 265, w^2 + 2*w - 5]', '[269, 269, w^2 - 2*w - 12]', '[275, 55, w^2 - 5*w - 2]', '[275, 55, -2*w^2 + 5*w + 9]', '[275, 55, -w^2 + 12]', '[275, 275, -3*w^2 + 4*w + 10]', '[275, 275, -w^2 + 4*w + 10]', '[275, 275, -2*w^2 - w + 10]', '[277, 277, w^2 - 4*w - 9]', '[281, 281, 4*w^2 - 2*w - 21]', '[283, 283, 3*w^2 - 3*w - 13]', '[289, 17, -3*w^2 + 2*w + 14]', '[289, 17, 2*w^2 - 3*w - 1]', '[289, 289, -w + 7]', '[293, 293, 3*w^2 - 4*w - 9]', '[296, 74, 2*w^2 - 4*w - 12]', '[297, 33, 3*w^2 - 6*w - 12]', '[297, 33, 3*w - 6]', '[297, 33, -3*w + 3]', '[299, 299, w + 7]', '[305, 305, -2*w^2 + 4*w + 15]', '[320, 20, 4*w]', '[323, 323, -3*w + 4]', '[323, 323, -2*w^2 + 4*w + 13]', '[325, 65, w^2 + 3]', '[325, 325, 3*w - 5]', '[328, 82, -2*w - 8]', '[328, 82, 2*w^2 - 4*w - 14]', '[331, 331, w^2 + 3*w - 3]', '[335, 335, 2*w^2 - w]', '[337, 337, w^2 + 2*w - 6]', '[341, 341, w^2 - w - 12]', '[341, 341, -3*w^2 + w + 13]', '[341, 341, 4*w^2 - 3*w - 21]', '[343, 7, -7]', '[351, 39, 3*w^2 - 3*w - 12]', '[361, 19, w^2 - 5*w - 1]', '[361, 361, w^2 - 2*w + 3]', '[365, 365, -2*w^2 + 5*w + 10]', '[367, 367, w^2 - 5*w - 8]', '[373, 373, w^2 + 2*w - 16]', '[373, 373, 2*w^2 + w - 11]', '[373, 373, 3*w^2 - 2*w - 13]', '[376, 94, 4*w^2 - 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6*w + 21]', '[9587, 9587, 9*w^2 - 7*w - 39]', '[9595, 9595, -11*w^2 + 12*w + 50]', '[9601, 9601, 8*w^2 - 7*w - 22]', '[9605, 9605, -11*w^2 + 6*w + 55]', '[9605, 9605, 13*w^2 - 17*w - 70]', '[9608, 2402, 2*w^2 - 14*w - 28]', '[9608, 2402, 12*w^2 - 10*w - 62]', '[9608, 2402, 4*w^2 - 16*w - 2]', '[9613, 9613, 2*w^2 - 7*w - 34]', '[9619, 9619, -w^2 + 11*w - 14]', '[9623, 9623, 2*w^2 + 11*w - 4]', '[9631, 9631, 11*w^2 - 11*w - 52]', '[9631, 9631, w^2 + 5*w - 31]', '[9631, 9631, 7*w^2 + 2*w - 38]', '[9635, 9635, 4*w^2 - 7*w + 5]', '[9635, 9635, 5*w^2 - 17*w - 25]', '[9637, 9637, w^2 + 9*w - 9]', '[9640, 2410, -8*w^2 - 8*w + 10]', '[9647, 9647, -w^2 + 11*w - 7]', '[9647, 9647, 7*w^2 - 18*w - 29]', '[9647, 9647, -12*w + 1]', '[9655, 9655, -3*w^2 - 21*w - 10]', '[9659, 9659, 10*w^2 - 9*w - 46]', '[9664, 604, 4*w^2 - 16*w - 24]', '[9671, 9671, 5*w^2 + 5*w - 24]', '[9677, 9677, -2*w^2 - 13]', '[9677, 9677, 11*w^2 - 4*w - 53]', '[9677, 9677, 12*w^2 - 19*w - 38]', '[9683, 9683, 10*w^2 - 53]', '[9685, 9685, -8*w^2 + 7*w + 25]', '[9689, 9689, -w^2 + 12*w - 2]', '[9691, 9691, -12*w^2 + 27*w + 38]', '[9691, 9691, 8*w^2 - 23*w - 29]', '[9691, 9691, 11*w^2 - 30*w - 24]', '[9697, 9697, 3*w^2 - 5*w - 37]', '[9704, 2426, 6*w^2 - 14*w - 32]', '[9704, 2426, 10*w^2 - 14*w - 58]', '[9704, 2426, -2*w^2 - 2*w - 14]', '[9707, 9707, 4*w^2 - 5*w - 42]', '[9707, 9707, 12*w^2 - w - 54]', '[9707, 9707, -8*w^2 + 24*w + 29]', '[9707, 9707, 9*w^2 - 10*w - 22]', '[9707, 9707, -3*w^2 - 6*w - 14]', '[9707, 9707, -3*w^2 - 6*w + 19]', '[9713, 9713, 10*w^2 - 13*w - 36]', '[9713, 9713, -8*w^2 + 7*w + 23]', '[9713, 9713, -5*w^2 + 10*w - 2]', '[9719, 9719, 2*w^2 + 7*w - 16]', '[9721, 9721, 9*w + 28]', '[9728, 152, -8*w^2 + 48]', '[9731, 9731, -9*w^2 + 20*w + 34]', '[9739, 9739, 8*w^2 - 7*w - 24]', '[9743, 9743, 8*w^2 - 6*w - 19]', '[9747, 57, 3*w^2 - 15*w - 3]', '[9747, 1083, -3*w^2 + 6*w - 9]', '[9752, 2438, -10*w^2 + 2*w + 44]', '[9755, 9755, 3*w^2 + 7*w + 15]', '[9767, 9767, 8*w^2 - 13*w - 48]', '[9767, 9767, 12*w^2 - 13*w - 57]', '[9767, 9767, 10*w^2 - 8*w - 47]', '[9769, 9769, -4*w^2 + 9*w - 6]', '[9769, 9769, w^2 + 10*w - 6]', '[9769, 9769, -7*w^2 + 22*w + 13]', '[9775, 1955, 7*w^2 - 15*w - 34]', '[9775, 1955, 4*w^2 + 5*w - 23]', '[9775, 9775, 9*w^2 - 50]', '[9775, 9775, 4*w^2 - 15*w - 25]', '[9781, 9781, -w^2 - 4*w - 19]', '[9784, 2446, 8*w^2 + 2*w - 24]', '[9797, 9797, 5*w^2 - 15*w - 27]', '[9797, 9797, -6*w^2 + 6*w + 53]', '[9797, 9797, 9*w^2 - w - 36]', '[9799, 9799, 7*w^2 - 13*w - 41]', '[9799, 9799, 4*w^2 - w - 43]', '[9803, 9803, 12*w^2 - 12*w - 59]', '[9805, 9805, -8*w^2 + 3*w + 30]', '[9809, 9809, 10*w^2 - 11*w - 42]', '[9809, 9809, 20*w^2 - 16*w - 137]', '[9811, 9811, 12*w^2 - 17*w - 46]', '[9815, 9815, 8*w^2 - 6*w - 5]', '[9817, 9817, 8*w^2 + w - 44]', '[9817, 9817, 8*w^2 + 5*w - 18]', '[9817, 9817, -w^2 - 17]', '[9823, 9823, -12*w^2 + 15*w + 52]', '[9823, 9823, -2*w^2 + 12*w - 23]', '[9823, 9823, 5*w^2 - 18*w - 6]', '[9832, 2458, 4*w^2 - 14*w - 42]', '[9841, 9841, 11*w - 27]', '[9845, 9845, 4*w^2 - 5*w + 5]', '[9845, 9845, -9*w^2 + 14*w + 50]', '[9845, 9845, -11*w^2 + 2*w + 50]', '[9848, 2462, 2*w^2 + 8*w - 12]', '[9851, 9851, w^2 + 8*w - 22]', '[9855, 1095, -6*w^2 + 15*w + 30]', '[9859, 9859, 4*w^2 + 4*w - 29]', '[9865, 9865, 4*w^2 - 6*w + 5]', '[9865, 9865, -9*w^2 + 10]', '[9865, 9865, -4*w^2 + 13*w + 30]', '[9871, 9871, 7*w^2 - 16*w - 32]', '[9880, 2470, 8*w^2 - 4*w - 30]', '[9881, 9881, -w^2 + 2*w - 17]', '[9881, 9881, 9*w^2 - 15*w - 46]', '[9883, 9883, 5*w^2 - 13*w - 32]', '[9893, 9893, 2*w^2 + 9*w - 9]', '[9893, 9893, 3*w^2 - w - 37]', '[9893, 9893, 11*w^2 - 19*w - 48]', '[9896, 2474, 8*w^2 - 6*w - 28]', '[9901, 9901, -w^2 + 11*w - 8]', '[9907, 9907, 8*w^2 - 27]', '[9909, 1101, 3*w^2 - 15*w - 24]', '[9911, 9911, 5*w^2 - 11*w - 53]', '[9911, 9911, 17*w^2 - 9*w - 107]', '[9911, 9911, 9*w^2 - 4*w - 39]', '[9911, 9911, 9*w^2 + 2*w - 31]', '[9911, 9911, -4*w - 23]', '[9911, 9911, 7*w^2 - 14*w - 37]', '[9913, 9913, w^2 - 16*w - 23]', '[9920, 620, -8*w^2 - 4*w + 20]', '[9923, 9923, -3*w^2 + 2*w - 9]', '[9928, 2482, -2*w^2 + 6*w - 14]', '[9928, 2482, 18*w^2 - 14*w - 104]', '[9929, 9929, 8*w^2 - 14*w - 43]', '[9931, 9931, 5*w^2 - 16*w - 26]', '[9935, 9935, 6*w^2 - 22*w - 15]', '[9941, 9941, -11*w^2 + 23*w + 39]', '[9943, 9943, 11*w^2 - 21*w - 43]', '[9944, 2486, 6*w - 26]', '[9944, 2486, 14*w^2 - 16*w - 68]', '[9944, 2486, -10*w^2 + 10*w + 44]', '[9949, 9949, 5*w^2 - 14*w - 29]', '[9953, 9953, 7*w^2 - 13*w - 52]', '[9967, 9967, 6*w^2 - 13*w - 36]', '[9973, 9973, w^2 - 5*w - 28]', '[9977, 9977, 12*w^2 - 16*w - 49]', '[9977, 9977, -4*w^2 + 11*w - 8]', '[9977, 9977, -9*w^2 + 10*w + 32]', '[9979, 9979, 11*w - 4]', '[9979, 9979, 10*w^2 - 14*w - 69]', '[9983, 9983, -w^2 + w - 17]', '[9985, 9985, -3*w^2 - 14*w]', '[9992, 2498, 2*w - 22]', '[9995, 9995, -3*w^2 - 9*w + 10]'], 'label': '3.3.697.1', 'narrow_class_no': 2, 'primes': ['[5, 5, w]', '[8, 2, 2]', '[11, 11, -w^2 + 2*w + 4]', '[11, 11, -w + 2]', '[11, 11, w - 1]', '[13, 13, -w^2 + w + 4]', '[17, 17, -w^2 + w + 8]', '[17, 17, -w^2 + w + 3]', '[19, 19, -w^2 + 6]', '[23, 23, -w^2 + 3]', '[25, 5, w^2 - 7]', '[27, 3, -3]', '[31, 31, w^2 - 2*w - 8]', '[37, 37, w^2 - 2*w - 6]', '[41, 41, -w - 4]', '[41, 41, w^2 - 2*w - 7]', '[47, 47, 2*w^2 - 3*w - 7]', '[53, 53, -w^2 + w + 9]', '[61, 61, 3*w^2 - 2*w - 17]', '[67, 67, 2*w - 1]', '[73, 73, 2*w^2 - 2*w - 9]', '[89, 89, 2*w^2 - 3*w - 11]', '[97, 97, 2*w^2 - w - 9]', '[97, 97, w^2 - 3*w - 6]', '[97, 97, 2*w - 3]', '[101, 101, 3*w^2 - 4*w - 13]', '[107, 107, 2*w^2 - 3*w - 14]', '[113, 113, 2*w^2 - 3*w - 12]', '[127, 127, -w^2 + w - 1]', '[127, 127, 2*w^2 - 2*w - 7]', '[127, 127, w^2 + 3*w - 1]', '[131, 131, w^2 - 3*w - 8]', '[137, 137, 2*w^2 - w - 8]', '[139, 139, 4*w^2 - 5*w - 19]', '[149, 149, w^2 + w - 7]', '[151, 151, w^2 - 4*w - 6]', '[157, 157, w^2 + w - 9]', '[163, 163, w^2 + w - 8]', '[169, 13, 2*w^2 - w - 7]', '[173, 173, w^2 - 5*w - 3]', '[179, 179, -w - 6]', '[191, 191, w^2 + 2*w - 4]', '[197, 197, 3*w - 1]', '[229, 229, 3*w^2 - 4*w - 18]', '[233, 233, -w^2 + w - 2]', '[233, 233, -3*w^2 + 4*w + 11]', '[233, 233, 3*w^2 - w - 14]', '[239, 239, 3*w^2 - 5*w - 14]', '[241, 241, w^2 - 4*w - 11]', '[257, 257, -2*w^2 + 2*w + 17]', '[263, 263, 3*w^2 - 3*w - 23]', '[269, 269, w^2 - 2*w - 12]', '[277, 277, w^2 - 4*w - 9]', '[281, 281, 4*w^2 - 2*w - 21]', '[283, 283, 3*w^2 - 3*w - 13]', '[293, 293, 3*w^2 - 4*w - 9]', '[331, 331, w^2 + 3*w - 3]', '[337, 337, w^2 + 2*w - 6]', '[343, 7, -7]', '[361, 19, w^2 - 5*w - 1]', '[367, 367, w^2 - 5*w - 8]', '[373, 373, w^2 + 2*w - 16]', '[373, 373, 2*w^2 + w - 11]', '[373, 373, 3*w^2 - 2*w - 13]', '[379, 379, -w^2 + w - 3]', '[383, 383, 2*w^2 - 6*w - 9]', '[401, 401, w^2 + 2*w - 7]', '[419, 419, 3*w^2 - 6*w - 13]', '[421, 421, 4*w^2 - 5*w - 26]', '[431, 431, 4*w - 1]', '[439, 439, w^2 - 5*w - 9]', '[439, 439, w^2 - 2*w - 13]', '[439, 439, 4*w^2 - 7*w - 17]', '[443, 443, 3*w^2 - 3*w - 8]', '[443, 443, w^2 - 13]', '[443, 443, 3*w^2 - w - 12]', '[449, 449, 4*w^2 - 6*w - 13]', '[457, 457, w^2 + 2*w - 11]', '[461, 461, -w - 8]', '[461, 461, -w^2 + 5*w - 1]', '[461, 461, 2*w^2 + w - 12]', '[463, 463, 3*w^2 + w - 9]', '[487, 487, 5*w^2 - 3*w - 27]', '[499, 499, 4*w^2 - w - 24]', '[499, 499, w^2 - 5*w - 11]', '[499, 499, 5*w^2 - 4*w - 27]', '[503, 503, 3*w^2 - 5*w - 22]', '[503, 503, 3*w^2 - 5*w - 17]', '[503, 503, 5*w^2 - 8*w - 22]', '[509, 509, -w^2 - 4]', '[529, 23, 4*w^2 - 5*w - 16]', '[541, 541, 2*w^2 + w - 17]', '[547, 547, -w^2 + 2*w - 4]', '[547, 547, 3*w^2 - 6*w - 14]', '[547, 547, 2*w^2 - 5*w - 17]', '[557, 557, 5*w^2 - 2*w - 31]', '[563, 563, 3*w^2 - 5*w - 18]', '[571, 571, -w^2 + w - 4]', '[571, 571, w^2 - 6*w - 2]', '[571, 571, 3*w^2 + w - 8]', '[577, 577, 2*w^2 - w - 19]', '[587, 587, 2*w^2 - 5*w - 13]', '[593, 593, 2*w^2 + w - 16]', '[599, 599, 3*w^2 - 19]', '[599, 599, 3*w^2 - 5*w - 19]', '[599, 599, 4*w^2 - w - 18]', '[607, 607, 4*w^2 - 2*w - 19]', '[617, 617, 4*w^2 - 3*w - 19]', '[619, 619, 4*w^2 - 7*w - 18]', '[643, 643, 3*w^2 + w - 7]', '[643, 643, 2*w^2 - 2*w - 19]', '[643, 643, 5*w^2 - 8*w - 16]', '[653, 653, 3*w^2 - w - 9]', '[653, 653, 2*w^2 - 6*w - 11]', '[653, 653, 3*w^2 - w - 7]', '[659, 659, w^2 - 2*w - 14]', '[661, 661, 5*w^2 - 6*w - 31]', '[661, 661, w^2 - 14]', '[661, 661, w - 9]', '[673, 673, -2*w^2 + 4*w - 1]', '[673, 673, 4*w^2 - w - 26]', '[673, 673, 6*w^2 - 5*w - 33]', '[677, 677, 3*w^2 - 8]', '[719, 719, 6*w^2 - 7*w - 29]', '[719, 719, 4*w^2 - 6*w - 29]', '[719, 719, 4*w^2 - 5*w - 14]', '[727, 727, 4*w^2 - 4*w - 31]', '[743, 743, w^2 - w - 14]', '[757, 757, 5*w^2 - 8*w - 23]', '[761, 761, w^2 - 6*w - 11]', '[761, 761, 4*w - 7]', '[761, 761, 4*w^2 - 3*w - 18]', '[773, 773, -5*w^2 + 10*w + 18]', '[787, 787, 5*w^2 - 7*w - 19]', '[797, 797, 4*w^2 - 5*w - 12]', '[797, 797, 3*w^2 + w - 16]', '[797, 797, 3*w^2 - 6*w - 16]', '[811, 811, w^2 + 3*w - 7]', '[821, 821, 4*w^2 - 6*w - 23]', '[829, 829, 2*w^2 + 2*w - 11]', '[829, 829, 2*w^2 - 7*w - 11]', '[829, 829, 5*w^2 - 5*w - 24]', '[853, 853, 2*w^2 - 6*w - 19]', '[857, 857, w^2 + 4*w - 4]', '[877, 877, -w^2 - w - 6]', '[881, 881, -4*w^2 + 4*w + 9]', '[883, 883, 2*w^2 - 6*w - 13]', '[907, 907, 3*w^2 - 6*w - 17]', '[911, 911, w^2 + 3*w - 8]', '[919, 919, 4*w^2 - 8*w - 17]', '[937, 937, 4*w^2 - 6*w - 27]', '[941, 941, 4*w^2 - 2*w - 17]', '[947, 947, 3*w^2 - 8*w - 13]', '[961, 31, 6*w^2 - 7*w - 39]', '[967, 967, 5*w - 2]', '[971, 971, 5*w^2 - 9*w - 21]', '[977, 977, 3*w^2 + w - 17]', '[983, 983, 2*w - 11]', '[991, 991, 6*w^2 - 7*w - 38]', '[991, 991, w^2 + 3*w - 9]', '[991, 991, w^2 + 3*w - 13]', '[997, 997, 4*w^2 - w - 16]', '[997, 997, 5*w - 12]', '[997, 997, 3*w^2 - 2*w - 26]']}
16. label: 3.3.733.1
    {'degree': 3, 'discriminant': 733, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 2]', '[4, 2, -w^2 - w + 5]', '[4, 4, w^2 + w - 4]', '[5, 5, -w + 3]', '[7, 7, -w^2 - 2*w + 3]', '[8, 2, 2]', '[8, 8, -w]', '[10, 10, -w - 2]', '[11, 11, -w^2 + 5]', '[13, 13, w + 1]', '[14, 14, w^2 + w - 6]', '[16, 4, -2*w + 4]', '[16, 4, w^2 - w - 3]', '[16, 16, w^2 + w - 8]', '[20, 10, -w^2 - w + 7]', '[20, 20, w^2 - 4]', '[22, 22, -w^2 + 2*w + 2]', '[23, 23, w^2 - 3]', '[25, 5, w^2 + 2*w - 1]', '[25, 25, w^2 + 2*w - 5]', '[26, 26, -w^2 + w + 2]', '[27, 3, -3]', '[28, 14, -w^2 + w + 5]', '[28, 28, w - 4]', '[29, 29, -3*w + 7]', '[32, 4, -2*w^2 - 2*w + 10]', '[32, 8, 2*w^2 + 2*w - 8]', '[32, 32, -2*w^2 - 3*w + 8]', '[35, 35, w^2 - 9]', '[40, 10, -2*w + 6]', '[40, 40, w^2 - 3*w]', '[43, 43, -3*w^2 - 2*w + 17]', '[44, 22, w^2 + w - 1]', '[44, 44, -w - 4]', '[46, 46, w^2 + w - 10]', '[49, 7, -2*w^2 + w + 11]', '[49, 49, 2*w^2 - 11]', '[50, 10, -w^2 - 2*w + 6]', '[50, 50, w^2 - w - 6]', '[52, 26, -3*w^2 - 3*w + 13]', '[52, 52, 3*w^2 + 4*w - 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31]', '[1964, 1964, -5*w^2 - 2*w + 20]', '[1967, 1967, 8*w^2 + 13*w - 19]', '[1970, 1970, 7*w^2 - 3*w - 34]', '[1970, 1970, -9*w^2 - 9*w + 38]', '[1970, 1970, w^2 + 8*w - 18]', '[1971, 219, 3*w^2 + 6*w - 21]', '[1971, 219, -6*w^2 - 6*w + 33]', '[1971, 219, 3*w - 15]', '[1973, 1973, 8*w^2 + 5*w - 41]', '[1973, 1973, -6*w - 1]', '[1973, 1973, w^2 + 8*w - 21]', '[1978, 1978, 5*w^2 + w - 22]', '[1979, 1979, 5*w^2 + 2*w - 15]', '[1979, 1979, -w^2 - 8*w + 29]', '[1979, 1979, 9*w^2 + 8*w - 41]', '[1981, 1981, 6*w^2 - 2*w - 39]', '[1985, 1985, -4*w^2 + 13*w - 3]', '[1988, 994, -3*w^2 - 7*w - 1]', '[1988, 1988, 5*w^2 + 11*w - 12]', '[1990, 1990, 5*w^2 - w - 22]', '[1991, 1991, 9*w^2 + 4*w - 51]', '[1991, 1991, w^2 + 2*w - 19]', '[1991, 1991, w^2 + 6*w - 25]', '[1999, 1999, -6*w^2 + 9*w + 13]', '[2000, 20, -10*w + 20]', '[2000, 20, 5*w^2 - 5*w - 15]', '[2000, 80, 5*w^2 + 5*w - 40]', '[2000, 500, -10*w^2 - 12*w + 36]', '[2000, 500, 9*w^2 + 11*w - 39]', '[2000, 2000, 11*w^2 + 17*w - 40]', '[2002, 2002, 3*w^2 - w - 30]', '[2008, 502, -8*w^2 + 46]', '[2008, 2008, 4*w^2 + 5*w - 32]', '[2011, 2011, 6*w^2 + 5*w - 47]', '[2011, 2011, 10*w^2 + 12*w - 43]', '[2011, 2011, 4*w^2 - 3*w - 25]', '[2012, 1006, w^2 - 13*w + 23]', '[2012, 2012, 6*w^2 - 15*w + 4]', '[2017, 2017, 6*w^2 - 31]', '[2018, 2018, 11*w^2 + 13*w - 42]', '[2020, 1010, -5*w^2 - 11*w + 13]', '[2020, 2020, w^2 + 8*w + 12]', '[2024, 506, 2*w - 14]', '[2024, 2024, -w^2 + 7*w]', '[2026, 2026, w^2 - w - 18]', '[2027, 2027, -4*w^2 + 8*w + 9]', '[2030, 2030, -4*w^2 - 7*w + 22]', '[2032, 508, 4*w^2 - 10*w - 4]', '[2032, 508, -w^2 - 7*w + 27]', '[2032, 508, w^2 + 7*w - 3]', '[2032, 508, 3*w^2 + 5*w - 1]', '[2032, 508, 2*w^2 - 4*w - 20]', '[2032, 508, 2*w^2 - 4*w - 28]', '[2032, 2032, -7*w^2 + 3*w + 40]', '[2032, 2032, w^2 + 7*w + 8]', '[2032, 2032, w^2 + 3*w + 8]', '[2038, 2038, -7*w + 2]', '[2041, 2041, -12*w^2 - 20*w + 31]', '[2041, 2041, 6*w^2 + w - 31]', '[2041, 2041, w^2 + 8*w - 19]', '[2042, 2042, w^2 + 12*w - 38]', '[2044, 1022, 5*w^2 - 3*w - 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4*w + 3]', '[71, 71, -2*w^2 + w + 9]', '[73, 73, w^2 + 2*w - 7]', '[73, 73, -2*w^2 - 2*w + 11]', '[73, 73, w - 5]', '[89, 89, 2*w^2 + w - 9]', '[89, 89, -w^2 - 2*w + 9]', '[89, 89, -2*w - 1]', '[101, 101, 4*w^2 + 4*w - 19]', '[103, 103, 2*w + 3]', '[107, 107, w + 5]', '[109, 109, 3*w^2 + 2*w - 15]', '[113, 113, 2*w - 7]', '[121, 11, 2*w^2 + w - 7]', '[127, 127, 2*w^2 - 9]', '[127, 127, -4*w + 11]', '[127, 127, -2*w^2 + 2*w + 9]', '[131, 131, 3*w^2 + 4*w - 13]', '[137, 137, -w^2 + 2*w - 3]', '[149, 149, 2*w^2 - 6*w + 1]', '[151, 151, 3*w - 1]', '[157, 157, -3*w^2 - 6*w + 7]', '[157, 157, -2*w^2 + 3*w + 3]', '[157, 157, 2*w^2 + 2*w - 15]', '[163, 163, 3*w^2 + 2*w - 19]', '[163, 163, 4*w^2 + 5*w - 17]', '[163, 163, -5*w^2 - 6*w + 19]', '[167, 167, w^2 - 11]', '[167, 167, -3*w - 7]', '[167, 167, -w^2 - 2*w + 13]', '[169, 13, w^2 - 2*w - 5]', '[181, 181, -2*w - 7]', '[181, 181, 2*w^2 - 7]', '[181, 181, 2*w^2 - 2*w - 5]', '[193, 193, 2*w^2 + 2*w - 3]', '[197, 197, -4*w^2 - 7*w + 9]', '[197, 197, 2*w^2 - 2*w - 19]', '[197, 197, 2*w^2 + 3*w - 11]', '[199, 199, -6*w^2 + 37]', '[227, 227, 2*w^2 - 3*w - 7]', '[233, 233, w^2 + 4*w - 15]', '[251, 251, -4*w^2 + 23]', '[257, 257, w^2 - 2*w - 7]', '[269, 269, -4*w^2 - w + 23]', '[271, 271, 2*w^2 - w - 19]', '[277, 277, -3*w^2 - 2*w + 9]', '[281, 281, w^2 - 2*w - 9]', '[283, 283, 6*w^2 + 5*w - 31]', '[293, 293, 2*w^2 - 2*w - 21]', '[311, 311, -w^2 - 4*w - 1]', '[317, 317, 3*w^2 + 2*w - 11]', '[317, 317, 2*w^2 + 3*w - 13]', '[317, 317, 2*w^2 - 2*w - 11]', '[331, 331, 4*w^2 - w - 21]', '[331, 331, 3*w + 5]', '[331, 331, 4*w^2 + 2*w - 21]', '[337, 337, -2*w^2 + 4*w + 5]', '[349, 349, w^2 - 4*w - 1]', '[353, 353, -w^2 - 4*w - 5]', '[367, 367, 6*w^2 + 7*w - 23]', '[379, 379, 2*w - 9]', '[389, 389, 2*w^2 + 3*w - 15]', '[389, 389, w^2 + 4*w - 13]', '[389, 389, 2*w^2 + 4*w - 1]', '[397, 397, 4*w - 1]', '[409, 409, 2*w^2 + w - 19]', '[409, 409, -w^2 + 6*w - 11]', '[409, 409, 2*w^2 + 4*w - 21]', '[419, 419, 4*w^2 + 4*w - 21]', '[421, 421, -w^2 - 3]', '[421, 421, -4*w^2 - 6*w + 17]', '[421, 421, 4*w^2 + 3*w - 31]', '[439, 439, 5*w^2 - 29]', '[443, 443, w^2 - 13]', '[449, 449, 4*w^2 - w - 27]', '[457, 457, 2*w^2 - 19]', '[467, 467, 4*w + 9]', '[467, 467, 3*w^2 - 2*w - 17]', '[467, 467, 2*w^2 - 2*w - 13]', '[479, 479, -w^2 + 4*w + 19]', '[487, 487, 4*w^2 + 5*w - 19]', '[491, 491, 3*w - 11]', '[503, 503, 4*w^2 + 3*w - 17]', '[523, 523, -2*w^2 - 5*w - 1]', '[529, 23, -4*w^2 - w + 21]', '[547, 547, 5*w^2 + 4*w - 23]', '[557, 557, 4*w^2 - 2*w - 33]', '[563, 563, 2*w^2 + 2*w - 1]', '[563, 563, 3*w^2 - 8*w - 1]', '[563, 563, 3*w^2 + 4*w - 5]', '[571, 571, 5*w^2 + 10*w - 11]', '[577, 577, -4*w + 13]', '[587, 587, 3*w^2 + 4*w - 17]', '[593, 593, 3*w^2 - 11]', '[593, 593, 4*w^2 + 2*w - 19]', '[593, 593, w - 9]', '[601, 601, -4*w^2 - 10*w + 3]', '[607, 607, 3*w^2 + 4*w - 27]', '[607, 607, -4*w^2 - 2*w + 33]', '[607, 607, 2*w^2 - 7*w + 9]', '[617, 617, -2*w^2 + 9*w - 5]', '[619, 619, -4*w - 1]', '[631, 631, -8*w^2 - 10*w + 29]', '[641, 641, w^2 - 4*w - 3]', '[653, 653, 3*w^2 - 2*w - 9]', '[659, 659, 2*w^2 + 4*w - 19]', '[661, 661, 6*w^2 + 6*w - 25]', '[673, 673, 6*w^2 + 7*w - 27]', '[683, 683, 5*w^2 + 2*w - 27]', '[701, 701, 7*w - 13]', '[709, 709, 6*w^2 + 8*w - 25]', '[719, 719, -2*w^2 + 4*w + 7]', '[719, 719, -7*w^2 - 10*w + 27]', '[719, 719, 4*w^2 - w - 19]', '[727, 727, 3*w^2 + 8*w + 1]', '[733, 733, 3*w^2 - 2*w - 7]', '[733, 733, 3*w^2 - 2*w - 29]', '[739, 739, -w - 9]', '[751, 751, -w^2 - 4*w + 19]', '[757, 757, -4*w - 7]', '[761, 761, -5*w^2 - 4*w + 29]', '[787, 787, -2*w^2 - 6*w + 3]', '[809, 809, -w^2 + 4*w - 9]', '[809, 809, -4*w^2 + 3*w + 15]', '[809, 809, 2*w^2 - 9*w + 13]', '[821, 821, -4*w^2 - 9*w + 7]', '[821, 821, 5*w - 1]', '[821, 821, 8*w^2 + 11*w - 31]', '[827, 827, 8*w^2 + 8*w - 35]', '[829, 829, 2*w^2 - 5*w - 27]', '[839, 839, -w^2 - 6*w - 7]', '[841, 29, 3*w^2 + 4*w - 31]', '[863, 863, 4*w^2 - 19]', '[883, 883, -5*w^2 + 27]', '[887, 887, 5*w^2 + 4*w - 21]', '[907, 907, -6*w^2 + 2*w + 31]', '[907, 907, 2*w^2 - 5*w - 29]', '[907, 907, 2*w^2 + 5*w - 15]', '[911, 911, w^2 - 15]', '[919, 919, 8*w - 17]', '[941, 941, -4*w^2 + 5*w + 15]', '[947, 947, 4*w^2 + 2*w - 13]', '[947, 947, 3*w^2 - 6*w - 7]', '[947, 947, -5*w^2 - 4*w + 15]']}
17. label: 3.3.756.1
    {'degree': 3, 'discriminant': 756, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, w + 1]', '[4, 2, w^2 - 6]', '[6, 6, w - 2]', '[7, 7, -w + 3]', '[7, 7, w - 1]', '[8, 2, 2]', '[9, 3, -w^2 + w + 5]', '[11, 11, -w - 3]', '[12, 6, w^2 - 4]', '[13, 13, -w^2 + w + 3]', '[14, 14, -w^2 + w + 6]', '[14, 14, w^2 + w - 2]', '[16, 4, 2*w]', '[18, 6, w^2 - w - 2]', '[19, 19, -w^2 - w + 1]', '[21, 21, -w^2 + 2*w + 3]', '[21, 21, w^2 - 1]', '[22, 22, -2*w^2 + w + 10]', '[23, 23, -w^2 + 3]', '[24, 6, 2*w + 2]', '[26, 26, -w^2 - w + 4]', '[27, 3, 3]', '[28, 14, w^2 - 2]', '[28, 14, -w^2 + 8]', '[29, 29, 2*w + 3]', '[31, 31, 2*w^2 - 2*w - 9]', '[32, 4, 2*w^2 - 12]', '[33, 33, -2*w^2 + 3*w + 5]', '[36, 6, w^2 + 2*w - 2]', '[38, 38, w - 4]', '[39, 39, -2*w + 1]', '[42, 42, w + 4]', '[42, 42, 3*w^2 - w - 16]', '[44, 22, w^2 - 2*w - 4]', '[46, 46, -3*w - 2]', '[48, 12, 2*w - 4]', '[49, 7, w^2 + w - 5]', '[49, 7, w^2 + 3*w + 3]', '[49, 49, w^2 - 2*w + 1]', '[52, 26, -w^2 - 2*w - 2]', '[53, 53, -w^2 - 1]', '[54, 6, 3*w]', '[56, 14, -2*w + 6]', '[56, 14, 2*w - 2]', '[57, 57, -2*w^2 + w + 9]', '[58, 58, 2*w^2 + 3*w]', '[61, 61, 2*w - 3]', '[62, 62, 2*w^2 - 3*w - 4]', '[63, 21, w^2 - w + 1]', '[63, 21, 2*w^2 - 2*w - 7]', '[64, 4, 4]', '[66, 66, -w^2 - w + 6]', '[67, 67, w^2 - 2*w - 5]', '[67, 67, -w^2 + w + 9]', '[67, 67, -w^2 + 3*w + 3]', '[69, 69, -w^2 - 3*w + 1]', '[71, 71, w^2 + w - 7]', '[72, 6, -2*w^2 + 2*w + 10]', '[73, 73, -2*w^2 + 3*w + 7]', '[76, 38, w^2 - 2*w - 8]', '[77, 77, w^2 - 9]', '[77, 77, -w^2 - 2*w + 3]', '[78, 78, -2*w^2 - 3*w + 2]', '[81, 9, 3*w + 3]', '[84, 42, 3*w^2 - 2*w - 14]', '[84, 42, -w^2 + 2*w + 6]', '[87, 87, 2*w^2 + 5*w + 3]', '[88, 22, -2*w - 6]', '[89, 89, w^2 - 2*w - 7]', '[89, 89, -2*w^2 + 1]', '[89, 89, -3*w^2 + 19]', '[91, 91, 2*w^2 - 4*w - 5]', '[91, 91, -3*w - 5]', '[92, 46, w^2 - 4*w + 2]', '[93, 93, -w + 5]', '[96, 12, 2*w^2 - 8]', '[97, 97, -w - 5]', '[98, 14, w^2 + w + 2]', '[98, 14, 2*w^2 - w - 8]', '[98, 98, 3*w + 4]', '[99, 33, 2*w^2 - 2*w - 13]', '[101, 101, 2*w^2 - 2*w - 11]', '[101, 101, -3*w^2 + w + 15]', '[101, 101, 6*w^2 - 2*w - 37]', '[103, 103, 2*w^2 - 15]', '[104, 26, -2*w^2 + 2*w + 6]', '[106, 106, -7*w - 2]', '[107, 107, 3*w - 1]', '[108, 6, 3*w^2 - 18]', '[112, 28, -2*w^2 + 2*w + 12]', '[112, 28, 2*w^2 + 2*w - 4]', '[113, 113, w^2 - 4*w - 3]', '[114, 114, w^2 - 3*w - 4]', '[116, 58, 3*w^2 - 14]', '[117, 39, -2*w^2 - w + 1]', '[121, 11, -4*w^2 + w + 21]', '[121, 121, 2*w^2 + 2*w - 1]', '[122, 122, 2*w^2 - 3*w]', '[124, 62, 9*w^2 - 4*w - 50]', '[125, 5, -5]', '[126, 42, w^2 + 5*w + 4]', '[126, 42, 2*w^2 + w - 10]', '[128, 8, 4*w]', '[131, 131, -2*w^2 + 2*w + 3]', '[131, 131, 5*w^2 - 2*w - 27]', '[131, 131, -5*w^2 + 3*w + 27]', '[132, 66, -w^2 - 2]', '[133, 133, -4*w - 3]', '[133, 133, -2*w^2 + 2*w + 5]', '[134, 134, w^2 + 3*w - 2]', '[134, 134, -2*w^2 + w + 2]', '[134, 134, -6*w^2 + 3*w + 34]', '[137, 137, -8*w^2 + 2*w + 47]', '[138, 138, 2*w^2 - 3*w - 8]', '[139, 139, 2*w^2 - w - 7]', '[142, 142, w^2 - w + 2]', '[143, 143, 2*w^2 - 7]', '[144, 12, 2*w^2 - 2*w - 4]', '[146, 146, 3*w^2 - 5*w - 4]', '[147, 21, 2*w^2 + 2*w - 3]', '[147, 21, -2*w^2 + w + 15]', '[147, 147, 2*w^2 + 3*w - 5]', '[149, 149, w^2 + w - 11]', '[152, 38, -2*w^2 - 2*w + 2]', '[154, 154, -3*w + 2]', '[154, 154, 3*w^2 - 3*w - 14]', '[156, 78, w^2 - 10]', '[157, 157, w^2 - 6*w - 3]', '[159, 159, -w^2 - 7*w - 3]', '[161, 161, -3*w^2 + 3*w + 11]', '[161, 161, w^2 - 3*w - 5]', '[162, 18, 3*w - 6]', '[168, 42, -2*w^2 + 4*w + 6]', '[168, 42, 2*w^2 - 2]', '[169, 13, 2*w^2 + w - 5]', '[169, 169, w^2 - 4*w + 5]', '[171, 57, -w^2 - 2*w + 5]', '[173, 173, 3*w^2 - 2*w - 13]', '[173, 173, -2*w^2 - w + 11]', '[173, 173, 5*w + 3]', '[174, 174, 2*w^2 - w - 6]', '[176, 44, -4*w^2 + 2*w + 20]', '[178, 178, -2*w^2 - w + 2]', '[178, 178, -3*w^2 + w + 14]', '[178, 178, w - 6]', '[179, 179, w^2 + 4*w - 1]', '[181, 181, -6*w^2 + 3*w + 35]', '[182, 182, -w - 6]', '[182, 182, -2*w^2 - w + 14]', '[183, 183, 2*w^2 - w - 3]', '[184, 46, -2*w^2 + 6]', '[186, 186, 6*w^2 - 7*w - 22]', '[189, 21, -3*w + 9]', '[189, 21, 3*w - 3]', '[191, 191, -2*w - 7]', '[192, 12, 4*w + 4]', '[194, 194, -w^2 - 5*w]', '[196, 14, 3*w^2 - 4*w - 8]', '[196, 14, -w^2 + 4*w + 4]', '[196, 98, w^2 + 2*w - 10]', '[197, 197, 2*w^2 - w - 5]', '[198, 66, -2*w^2 - w + 4]', '[199, 199, -5*w^2 + 3*w + 31]', '[201, 201, -w^2 - w - 3]', '[201, 201, 4*w + 7]', '[201, 201, -4*w^2 + 5*w + 15]', '[202, 202, -2*w^2 + w + 4]', '[202, 202, w^2 - 3*w - 6]', '[202, 202, -2*w^2 - w + 12]', '[203, 203, -2*w^2 + 3*w + 9]', '[203, 203, 2*w^2 + w - 3]', '[206, 206, -3*w + 4]', '[207, 69, -2*w^2 - w + 13]', '[208, 52, -2*w^2 - 2*w + 8]', '[209, 209, -3*w^2 + 5*w + 9]', '[211, 211, 4*w^2 - 3*w - 21]', '[211, 211, w^2 + 3*w - 3]', '[211, 211, 2*w^2 - 3]', '[212, 106, -w^2 - 2*w + 6]', '[213, 213, 2*w^2 - 5]', '[214, 214, 3*w^2 - w]', '[216, 6, 6]', '[217, 217, -8*w^2 + 9*w + 31]', '[217, 217, 4*w^2 - 5*w - 13]', '[219, 219, w^2 - 2*w + 3]', '[223, 223, 4*w - 1]', '[224, 28, 2*w^2 - 4]', '[224, 28, -2*w^2 + 16]', '[226, 226, -4*w^2 + 3*w + 2]', '[227, 227, -3*w^2 + w + 21]', '[227, 227, -6*w^2 + w + 39]', '[227, 227, 3*w^2 + w - 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3]', '[787, 787, -2*w^2 + 2*w - 3]', '[797, 797, 5*w^2 - 4*w - 31]', '[797, 797, 4*w^2 - 2*w - 29]', '[797, 797, -10*w^2 + 5*w + 53]', '[809, 809, -w^2 + 9*w + 5]', '[811, 811, w^2 + 3*w - 17]', '[821, 821, -13*w^2 + 4*w + 73]', '[827, 827, -6*w^2 + 37]', '[829, 829, -6*w^2 + 35]', '[841, 29, -11*w^2 + 2*w + 63]', '[853, 853, -3*w^2 + 5*w + 13]', '[859, 859, w^2 - 5*w - 11]', '[863, 863, -6*w^2 + 6*w + 23]', '[881, 881, 5*w^2 - w - 23]', '[881, 881, -13*w^2 + 3*w + 77]', '[881, 881, 6*w^2 - 3*w - 29]', '[911, 911, 3*w^2 + 2*w - 17]', '[937, 937, -2*w^2 - 3*w - 5]', '[947, 947, -9*w^2 + 5*w + 51]', '[953, 953, 8*w^2 - 4*w - 41]', '[961, 31, 6*w^2 - w - 41]', '[967, 967, 2*w^2 - w - 19]', '[967, 967, -7*w^2 + 45]', '[967, 967, -5*w^2 + 6*w + 15]', '[977, 977, 5*w^2 + 3*w - 21]', '[997, 997, 6*w^2 - w - 29]']}
18. label: 3.3.761.1
    {'degree': 3, 'discriminant': 761, 'ideals': ['[1, 1, 1]', '[3, 3, w + 1]', '[7, 7, w - 1]', '[8, 2, 2]', '[9, 3, -w^2 + 2*w + 4]', '[9, 9, w - 2]', '[11, 11, -w^2 + 2*w + 2]', '[13, 13, -w^2 + w + 4]', '[19, 19, w + 3]', '[19, 19, -w^2 + 2*w + 5]', '[19, 19, -w^2 + 3*w + 2]', '[21, 21, w^2 - 2*w - 6]', '[23, 23, w^2 - w - 3]', '[23, 23, -w^2 + 2]', '[23, 23, -w + 4]', '[24, 6, 2*w + 2]', '[27, 3, 3]', '[27, 27, w^2 - w - 2]', '[31, 31, w^2 - 5]', '[33, 33, -2*w + 1]', '[39, 39, -w^2 - w + 3]', '[43, 43, w^2 - 3*w - 3]', '[49, 7, w^2 - 6]', '[49, 49, -w^2 + 8]', '[53, 53, 2*w - 5]', '[56, 14, 2*w - 2]', '[57, 57, w + 4]', '[57, 57, 2*w^2 - 3*w - 8]', '[57, 57, -w^2 + 7]', '[61, 61, 2*w^2 - 2*w - 9]', '[63, 21, 2*w^2 - 4*w - 5]', '[63, 63, w^2 - 3*w + 2]', '[64, 4, 4]', '[69, 69, -w^2 + 3*w + 4]', '[69, 69, w^2 + 2*w - 2]', '[69, 69, w - 5]', '[71, 71, 2*w - 3]', '[72, 6, -2*w^2 + 4*w + 8]', '[72, 18, 2*w - 4]', '[73, 73, 2*w^2 - 5*w - 5]', '[77, 77, 3*w + 4]', '[81, 9, w^2 + w - 4]', '[81, 9, 3*w + 3]', '[81, 81, w^2 - 2*w - 9]', '[83, 83, w^2 - w - 9]', '[88, 22, -2*w^2 + 4*w + 4]', '[91, 91, w^2 - 3*w - 5]', '[93, 93, 2*w^2 + w - 4]', '[97, 97, 2*w^2 - 3*w - 7]', '[99, 33, 2*w^2 - w - 11]', '[99, 99, -w^2 + 3*w + 7]', '[103, 103, w^2 - 3*w - 6]', '[104, 26, -2*w^2 + 2*w + 8]', '[109, 109, w^2 - 4*w - 3]', '[117, 39, w^2 - 2*w + 2]', '[117, 117, 2*w^2 - 4*w - 9]', '[121, 11, 2*w^2 - w - 7]', '[121, 121, -w - 5]', '[125, 5, -5]', '[127, 127, w^2 + w - 5]', '[129, 129, -w^2 - 2]', '[131, 131, w^2 - 11]', '[133, 133, w^2 + 2*w - 3]', '[133, 133, 2*w^2 - 3*w - 6]', '[133, 133, -2*w^2 - w + 3]', '[137, 137, 3*w^2 - 7*w - 8]', '[137, 137, 2*w^2 - 5*w - 6]', '[137, 137, -w^2 + w - 2]', '[139, 139, 3*w^2 - 2*w - 16]', '[139, 139, 3*w - 2]', '[139, 139, -w^2 + 3*w - 3]', '[143, 143, -w + 6]', '[147, 21, 2*w^2 - 5]', '[147, 147, -2*w^2 + 2*w + 7]', '[151, 151, w^2 + w - 11]', '[152, 38, 2*w + 6]', '[152, 38, -2*w^2 + 4*w + 10]', '[152, 38, -2*w^2 + 6*w + 4]', '[157, 157, 2*w^2 - 3*w - 3]', '[159, 159, 2*w^2 - 3*w - 5]', '[161, 161, 3*w^2 - 3*w - 14]', '[161, 161, -2*w^2 + 9]', '[161, 161, -w^2 + 4*w + 4]', '[163, 163, w^2 - w - 10]', '[168, 42, 2*w^2 - 4*w - 12]', '[169, 13, 2*w^2 - 3*w - 4]', '[169, 169, -2*w^2 + 3*w + 15]', '[171, 57, -2*w^2 + 4*w + 11]', '[171, 57, w^2 - 5*w + 2]', '[171, 57, w^2 - 2*w - 10]', '[171, 171, 3*w^2 - 5*w - 11]', '[171, 171, w^2 + w - 6]', '[171, 171, -2*w^2 + w + 6]', '[173, 173, -3*w^2 + 6*w + 8]', '[183, 183, 2*w^2 + w - 7]', '[184, 46, 2*w^2 - 2*w - 6]', '[184, 46, -2*w^2 + 4]', '[184, 46, -2*w + 8]', '[189, 21, 3*w - 3]', '[189, 189, -3*w^2 + 4*w + 13]', '[191, 191, -4*w^2 + 7*w + 15]', '[192, 12, 4*w + 4]', '[193, 193, 2*w^2 - 3]', '[197, 197, w^2 - 3*w - 11]', '[199, 199, 3*w^2 - 5*w - 16]', '[207, 69, w^2 + w - 10]', '[207, 69, -w^2 - w + 7]', '[207, 69, 2*w^2 - w - 5]', '[207, 207, w^2 + w + 3]', '[207, 207, w^2 - 4*w - 5]', '[207, 207, -2*w^2 + 5*w + 7]', '[209, 209, w^2 + 2*w - 4]', '[209, 209, -2*w^2 + 2*w + 5]', '[209, 209, -3*w + 7]', '[211, 211, w^2 - 4*w - 9]', '[213, 213, 2*w^2 - w - 3]', '[216, 6, 6]', '[216, 54, 2*w^2 - 2*w - 4]', '[217, 217, w + 6]', '[219, 219, -w^2 + 2*w - 3]', '[223, 223, 2*w^2 - w - 4]', '[227, 227, 3*w - 4]', '[229, 229, w^2 + w - 8]', '[231, 231, w^2 + w - 9]', '[241, 241, w^2 - 4*w - 6]', '[243, 9, -3*w^2 + 6*w + 12]', '[243, 27, 3*w - 6]', '[243, 243, -2*w^2 + 6*w + 5]', '[247, 247, 3*w^2 - 6*w - 7]', '[247, 247, w^2 + 3]', '[247, 247, -3*w + 5]', '[248, 62, 2*w^2 - 10]', '[249, 249, w^2 - 4*w - 8]', '[251, 251, w - 7]', '[253, 253, -w^2 + 3*w - 4]', '[253, 253, 3*w^2 - 3*w - 13]', '[253, 253, w^2 - w + 3]', '[257, 257, w^2 - 4*w - 7]', '[263, 263, 3*w^2 - 5*w - 10]', '[263, 263, 2*w^2 - 5*w - 15]', '[263, 263, -w^2 + 6*w - 1]', '[264, 66, -4*w + 2]', '[269, 269, -w^2 - w + 14]', '[273, 273, -w^2 - 2*w - 4]', '[277, 277, 2*w^2 - 5*w - 8]', '[277, 277, w^2 + 3*w - 3]', '[277, 277, 3*w^2 - 4*w - 12]', '[279, 93, 4*w^2 - 5*w - 19]', '[279, 279, -w^2 + w + 11]', '[281, 281, -2*w - 7]', '[291, 291, w^2 + 2*w - 5]', '[293, 293, 3*w^2 - 2*w - 12]', '[297, 33, -3*w^2 + 6*w + 6]', '[297, 297, -2*w^2 + 5*w - 2]', '[299, 299, -2*w^2 + 7*w + 4]', '[299, 299, 3*w + 8]', '[299, 299, w^2 - 2*w - 11]', '[301, 301, -3*w^2 + 6*w + 4]', '[307, 307, 2*w^2 + w - 8]', '[309, 309, -w^2 - 3*w - 5]', '[312, 78, -2*w^2 - 2*w + 6]', '[313, 313, w^2 + 4*w - 2]', '[317, 317, 3*w^2 - 6*w - 5]', '[327, 327, -2*w^2 - w - 2]', '[331, 331, 4*w^2 - 4*w - 19]', '[337, 337, -5*w^2 + 8*w + 21]', '[341, 341, 2*w^2 - 5*w - 9]', '[343, 7, 7]', '[343, 343, 2*w - 9]', '[344, 86, 2*w^2 - 6*w - 6]', '[347, 347, 3*w^2 - 6*w - 13]', '[347, 347, 3*w^2 - 5*w - 22]', '[347, 347, 3*w^2 - 5*w - 9]', '[349, 349, w^2 - 5*w - 11]', '[351, 39, -3*w^2 + 3*w + 12]', '[351, 351, -w - 7]', '[353, 353, -w^2 + 6*w - 7]', '[359, 359, -4*w^2 + 8*w + 11]', '[361, 19, w^2 - 4*w + 6]', '[361, 19, -2*w^2 + 5*w + 14]', '[361, 19, -w^2 + 5*w + 5]', '[361, 361, -w^2 + 2*w - 4]', '[361, 361, -4*w + 3]', '[361, 361, -w^2 - w - 4]', '[363, 33, 3*w^2 + 4*w - 5]', '[363, 363, -4*w^2 + 7*w + 14]', '[367, 367, 3*w^2 - 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6]', '[569, 569, 4*w^2 - 5*w - 17]', '[573, 573, w^2 + 2*w - 11]', '[576, 12, -4*w^2 + 8*w + 16]', '[576, 36, 4*w - 8]', '[579, 579, 4*w^2 + 9*w - 1]', '[581, 581, -w^2 - 2*w + 10]', '[583, 583, 7*w^2 - 18*w - 12]', '[584, 146, 4*w^2 - 10*w - 10]', '[587, 587, 5*w^2 - 8*w - 20]', '[589, 589, 3*w^2 - 4*w - 8]', '[589, 589, 5*w^2 - 5*w - 24]', '[589, 589, 4*w^2 + w - 14]', '[591, 591, -w^2 - 8*w - 10]', '[593, 593, 5*w - 3]', '[593, 593, 3*w^2 - w - 17]', '[593, 593, w - 9]', '[597, 597, w^2 - 3*w - 13]', '[613, 613, 2*w^2 - w - 19]', '[613, 613, 3*w^2 - 4*w - 5]', '[613, 613, 3*w^2 - w - 8]', '[616, 154, 6*w + 8]', '[617, 617, 3*w^2 - 2*w - 9]', '[617, 617, -w^2 + w - 5]', '[617, 617, 4*w^2 - 6*w - 15]', '[619, 619, -w^2 + 3*w - 6]', '[621, 69, 3*w^2 - 3*w - 9]', '[621, 69, -3*w^2 + 6]', '[621, 69, -3*w + 12]', '[621, 621, 4*w^2 - 8*w - 9]', '[621, 621, w^2 + 5]', '[621, 621, 4*w^2 - 2*w - 21]', '[627, 627, -4*w^2 + 9*w + 13]', '[627, 627, -3*w^2 + 4*w + 7]', '[627, 627, -3*w^2 + 5*w + 23]', '[631, 631, 4*w^2 - 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w + 27]'], 'label': '3.3.761.1', 'narrow_class_no': 2, 'primes': ['[3, 3, w + 1]', '[7, 7, w - 1]', '[8, 2, 2]', '[9, 3, -w^2 + 2*w + 4]', '[11, 11, -w^2 + 2*w + 2]', '[13, 13, -w^2 + w + 4]', '[19, 19, w + 3]', '[19, 19, -w^2 + 2*w + 5]', '[19, 19, -w^2 + 3*w + 2]', '[23, 23, w^2 - w - 3]', '[23, 23, -w^2 + 2]', '[23, 23, -w + 4]', '[31, 31, w^2 - 5]', '[43, 43, w^2 - 3*w - 3]', '[49, 7, w^2 - 6]', '[53, 53, 2*w - 5]', '[61, 61, 2*w^2 - 2*w - 9]', '[71, 71, 2*w - 3]', '[73, 73, 2*w^2 - 5*w - 5]', '[83, 83, w^2 - w - 9]', '[97, 97, 2*w^2 - 3*w - 7]', '[103, 103, w^2 - 3*w - 6]', '[109, 109, w^2 - 4*w - 3]', '[121, 11, 2*w^2 - w - 7]', '[125, 5, -5]', '[127, 127, w^2 + w - 5]', '[131, 131, w^2 - 11]', '[137, 137, 3*w^2 - 7*w - 8]', '[137, 137, 2*w^2 - 5*w - 6]', '[137, 137, -w^2 + w - 2]', '[139, 139, 3*w^2 - 2*w - 16]', '[139, 139, 3*w - 2]', '[139, 139, -w^2 + 3*w - 3]', '[151, 151, w^2 + w - 11]', '[157, 157, 2*w^2 - 3*w - 3]', '[163, 163, w^2 - w - 10]', '[169, 13, 2*w^2 - 3*w - 4]', '[173, 173, -3*w^2 + 6*w + 8]', '[191, 191, -4*w^2 + 7*w + 15]', '[193, 193, 2*w^2 - 3]', '[197, 197, w^2 - 3*w - 11]', '[199, 199, 3*w^2 - 5*w - 16]', '[211, 211, w^2 - 4*w - 9]', '[223, 223, 2*w^2 - w - 4]', '[227, 227, 3*w - 4]', '[229, 229, w^2 + w - 8]', '[241, 241, w^2 - 4*w - 6]', '[251, 251, w - 7]', '[257, 257, w^2 - 4*w - 7]', '[263, 263, 3*w^2 - 5*w - 10]', '[263, 263, 2*w^2 - 5*w - 15]', '[263, 263, -w^2 + 6*w - 1]', '[269, 269, -w^2 - w + 14]', '[277, 277, 2*w^2 - 5*w - 8]', '[277, 277, w^2 + 3*w - 3]', '[277, 277, 3*w^2 - 4*w - 12]', '[281, 281, -2*w - 7]', '[293, 293, 3*w^2 - 2*w - 12]', '[307, 307, 2*w^2 + w - 8]', '[313, 313, w^2 + 4*w - 2]', '[317, 317, 3*w^2 - 6*w - 5]', '[331, 331, 4*w^2 - 4*w - 19]', '[337, 337, -5*w^2 + 8*w + 21]', '[347, 347, 3*w^2 - 6*w - 13]', '[347, 347, 3*w^2 - 5*w - 22]', '[347, 347, 3*w^2 - 5*w - 9]', '[349, 349, w^2 - 5*w - 11]', '[353, 353, -w^2 + 6*w - 7]', '[359, 359, -4*w^2 + 8*w + 11]', '[367, 367, 3*w^2 - 4*w - 11]', '[373, 373, w^2 + 2*w - 6]', '[379, 379, 5*w^2 - 9*w - 18]', '[409, 409, -w^2 - 4]', '[439, 439, 3*w^2 - 6*w - 14]', '[443, 443, -w^2 - 2*w + 13]', '[443, 443, 2*w^2 - 15]', '[443, 443, 3*w^2 - 13]', '[449, 449, w^2 + 2*w - 7]', '[449, 449, 2*w^2 - 6*w - 7]', '[449, 449, 3*w^2 - 3*w - 11]', '[461, 461, -w^2 - 2*w - 5]', '[467, 467, 3*w^2 - 5*w - 7]', '[479, 479, -w^2 + 6*w - 4]', '[491, 491, 3*w^2 - 5*w - 6]', '[499, 499, w^2 - 5*w - 8]', '[509, 509, 3*w^2 - 6*w - 19]', '[521, 521, 3*w^2 - 2*w - 10]', '[523, 523, 4*w - 9]', '[541, 541, 3*w^2 - 3*w - 10]', '[547, 547, 2*w^2 + w - 20]', '[547, 547, w^2 - 6*w - 5]', '[547, 547, 6*w^2 - 11*w - 24]', '[557, 557, -5*w^2 + 11*w + 11]', '[563, 563, 3*w^2 - 6*w - 16]', '[569, 569, 4*w^2 - 5*w - 17]', '[587, 587, 5*w^2 - 8*w - 20]', '[593, 593, 5*w - 3]', '[593, 593, 3*w^2 - w - 17]', '[593, 593, w - 9]', '[613, 613, 2*w^2 - w - 19]', '[613, 613, 3*w^2 - 4*w - 5]', '[613, 613, 3*w^2 - w - 8]', '[617, 617, 3*w^2 - 2*w - 9]', '[617, 617, -w^2 + w - 5]', '[617, 617, 4*w^2 - 6*w - 15]', '[619, 619, -w^2 + 3*w - 6]', '[631, 631, 4*w^2 - 7*w - 21]', '[641, 641, -w^2 - 3*w + 20]', '[643, 643, 3*w^2 - 14]', '[643, 643, w^2 - w - 13]', '[643, 643, 2*w^2 - 9*w + 2]', '[647, 647, 2*w^2 - 6*w - 9]', '[653, 653, 3*w^2 - 5]', '[659, 659, 6*w^2 - 11*w - 21]', '[661, 661, w^2 - 6*w - 6]', '[661, 661, w^2 + 3*w - 6]', '[661, 661, 5*w^2 - 7*w - 22]', '[673, 673, w^2 - 6*w - 12]', '[677, 677, 4*w^2 - 7*w - 22]', '[677, 677, 3*w^2 - 7*w - 12]', '[677, 677, -2*w^2 - 3]', '[683, 683, -2*w - 9]', '[683, 683, 4*w^2 - 7*w - 12]', '[683, 683, 3*w^2 - 3*w - 8]', '[691, 691, 2*w^2 + w - 11]', '[701, 701, 3*w^2 - 3*w - 5]', '[709, 709, -w^2 - 2*w - 6]', '[727, 727, 3*w^2 - w - 6]', '[727, 727, 3*w^2 - w - 27]', '[727, 727, 3*w^2 - w - 5]', '[733, 733, -2*w^2 + 9*w - 5]', '[739, 739, 3*w^2 - 4*w - 23]', '[743, 743, 2*w^2 - 7*w - 7]', '[743, 743, 3*w^2 - w - 20]', '[743, 743, 3*w^2 - 2*w - 7]', '[757, 757, -w - 9]', '[757, 757, 4*w^2 - 2*w - 29]', '[757, 757, 2*w^2 - 3*w - 18]', '[761, 761, 3*w^2 - 2*w - 6]', '[761, 761, 3*w^2 - 2*w - 25]', '[773, 773, -5*w - 12]', '[787, 787, -3*w - 10]', '[809, 809, 4*w^2 - w - 19]', '[821, 821, 5*w^2 - 10*w - 19]', '[823, 823, -4*w - 11]', '[827, 827, -7*w - 5]', '[827, 827, 2*w^2 - 6*w - 13]', '[827, 827, -w^2 - 2*w + 18]', '[839, 839, 6*w^2 - 9*w - 26]', '[839, 839, 5*w^2 - 12*w - 13]', '[839, 839, w - 10]', '[857, 857, -w^2 + 4*w - 8]', '[859, 859, 3*w^2 - 8*w - 10]', '[859, 859, 4*w^2 - 9*w - 14]', '[859, 859, 3*w^2 - 26]', '[863, 863, 2*w^2 + 3*w - 7]', '[877, 877, -5*w^2 + 11*w + 9]', '[877, 877, -5*w^2 + 10*w + 13]', '[877, 877, -w^2 + w - 6]', '[881, 881, w^2 - 3*w - 14]', '[883, 883, -w^2 + 3*w - 7]', '[887, 887, -3*w^2 + 6*w - 2]', '[907, 907, w^2 + 3*w - 8]', '[911, 911, 4*w^2 - 6*w - 29]', '[937, 937, -6*w^2 + 11*w + 25]', '[953, 953, 6*w^2 - 6*w - 29]', '[961, 31, -w^2 + 7*w - 5]', '[967, 967, 2*w^2 + w - 14]', '[971, 971, 5*w^2 - 3*w - 27]', '[971, 971, 4*w - 15]', '[971, 971, w^2 - 2*w - 14]', '[977, 977, 3*w^2 - 5*w - 24]', '[983, 983, w^2 - 4*w - 15]', '[991, 991, 6*w^2 - 10*w - 23]', '[991, 991, 5*w^2 - 6*w - 22]', '[991, 991, 3*w^2 + w - 13]']}
19. label: 3.3.785.1
    {'degree': 3, 'discriminant': 785, 'ideals': ['[1, 1, 1]', '[3, 3, w - 2]', '[5, 5, w]', '[5, 5, -w + 3]', '[8, 2, 2]', '[9, 3, w^2 + w - 4]', '[9, 9, w + 1]', '[13, 13, w + 3]', '[15, 15, w^2 - 4]', '[15, 15, w^2 - w - 5]', '[17, 17, -w^2 + w + 3]', '[23, 23, w^2 - 2]', '[23, 23, w^2 - 3]', '[23, 23, -w^2 + 8]', '[24, 6, 2*w - 4]', '[25, 5, w^2 + 2*w]', '[25, 5, -w^2 + w + 6]', '[25, 25, -w^2 - w + 5]', '[27, 3, 3]', '[27, 27, w^2 - w - 2]', '[29, 29, w - 4]', '[37, 37, w^2 + w - 8]', '[39, 39, w^2 + w - 6]', '[40, 10, 2*w]', '[40, 10, -2*w + 6]', '[41, 41, w^2 + 2*w - 4]', '[45, 15, 2*w^2 + 2*w - 5]', '[45, 15, w^2 + w - 7]', '[45, 45, w^2 + w]', '[45, 45, -w^2 + 2*w + 3]', '[47, 47, 2*w^2 + w - 8]', '[51, 51, -w - 4]', '[59, 59, -2*w^2 - 3*w + 6]', '[61, 61, -2*w - 1]', '[64, 4, 4]', '[65, 65, -w^2 + 9]', '[65, 65, w^2 + 3*w]', '[67, 67, -2*w - 3]', '[69, 69, -w^2 + 3*w + 1]', '[69, 69, -w^2 - 3*w + 1]', '[69, 69, -2*w^2 + w + 9]', '[72, 6, 2*w^2 + 2*w - 8]', '[72, 18, 2*w + 2]', '[75, 15, 2*w^2 - 2*w - 7]', '[75, 15, w^2 + 2*w - 5]', '[75, 75, w - 5]', '[79, 79, 2*w^2 - 9]', '[81, 9, -w^2 + 2*w + 4]', '[81, 9, 3*w - 6]', '[81, 81, w^2 + 2*w + 1]', '[85, 85, -3*w + 5]', '[85, 85, -2*w^2 - w + 11]', '[87, 87, w^2 - 6*w + 8]', '[104, 26, 2*w + 6]', '[109, 109, w^2 + 2*w - 6]', '[109, 109, 2*w^2 + w - 14]', '[109, 109, -w^2 - w - 1]', '[111, 111, -4*w + 11]', '[113, 113, 2*w^2 + w - 12]', '[115, 115, -w - 5]', '[115, 115, 2*w^2 - 3*w - 4]', '[115, 115, -w^2 + 2*w + 5]', '[115, 115, w^2 + 3*w - 5]', '[115, 115, 2*w^2 - 4*w - 1]', '[115, 115, -2*w^2 - w + 6]', '[117, 39, 2*w^2 - w - 8]', '[117, 117, -2*w + 7]', '[120, 30, 2*w^2 - 8]', '[120, 30, 2*w^2 - 2*w - 10]', '[123, 123, w^2 - 2*w + 3]', '[125, 5, 5]', '[125, 25, -w^2 - 2*w + 10]', '[125, 25, -2*w^2 - 3*w + 7]', '[125, 125, -2*w^2 - w + 5]', '[127, 127, w^2 - 3*w - 2]', '[131, 131, -4*w^2 - 5*w + 9]', '[135, 15, 3*w]', '[135, 15, -3*w + 9]', '[135, 135, w^2 - 10]', '[135, 135, 2*w^2 + 2*w - 9]', '[136, 34, -2*w^2 + 2*w + 6]', '[137, 137, w^2 + 2*w - 7]', '[137, 137, 3*w + 8]', '[137, 137, 2*w^2 + w - 17]', '[139, 139, 3*w^2 + 2*w - 11]', '[141, 141, -w^2 + 2*w + 6]', '[145, 145, w^2 - 4*w]', '[145, 145, -w^2 + 7*w - 12]', '[149, 149, w - 6]', '[151, 151, w^2 + 2*w - 9]', '[153, 51, w^2 - 2*w - 7]', '[153, 153, -w^2 - 2*w + 8]', '[157, 157, -w^2 - 2*w + 13]', '[157, 157, 2*w^2 - 7]', '[163, 163, w^2 + 3*w + 3]', '[163, 163, 2*w^2 - 3*w - 3]', '[163, 163, 2*w^2 - w - 7]', '[167, 167, 3*w^2 + w - 13]', '[169, 13, 2*w^2 + 5*w - 1]', '[169, 169, -2*w^2 + 2*w + 11]', '[173, 173, w^2 + 2*w + 2]', '[177, 177, -w^2 - 2]', '[179, 179, 4*w^2 + 2*w - 19]', '[181, 181, w^2 + 3*w - 6]', '[183, 183, -2*w^2 + 3*w + 2]', '[184, 46, 2*w^2 - 4]', '[184, 46, 2*w^2 - 6]', '[184, 46, -2*w^2 + 16]', '[185, 185, 2*w^2 - 2*w - 5]', '[185, 185, w^2 + 5*w - 19]', '[191, 191, 3*w^2 + 2*w - 14]', '[192, 12, 4*w - 8]', '[193, 193, w^2 - 3*w - 3]', '[195, 195, 2*w^2 - 5]', '[195, 195, -2*w^2 - 5*w + 3]', '[197, 197, 3*w^2 - 2*w - 13]', '[200, 10, 2*w^2 + 4*w]', '[200, 10, -2*w^2 + 2*w + 12]', '[200, 50, -2*w^2 - 2*w + 10]', '[201, 201, -2*w^2 + w + 6]', '[205, 205, 3*w^2 + 2*w - 5]', '[205, 205, 4*w - 7]', '[207, 69, 2*w^2 + 5*w - 2]', '[207, 69, w^2 + 4*w + 2]', '[207, 69, -w^2 - w - 2]', '[207, 207, -2*w^2 + 2*w + 13]', '[207, 207, 2*w^2 + 4*w - 7]', '[207, 207, 2*w^2 + 3*w - 8]', '[211, 211, -w - 6]', '[216, 6, 6]', '[216, 54, 2*w^2 - 2*w - 4]', '[221, 221, -3*w^2 + 14]', '[223, 223, -w^2 + w - 3]', '[223, 223, -3*w - 2]', '[223, 223, 2*w^2 - 2*w - 3]', '[225, 15, 2*w^2 - w - 5]', '[225, 15, -w^2 - 4*w + 1]', '[225, 45, w^2 - 3*w + 5]', '[225, 45, -w^2 + w + 11]', '[225, 75, 2*w^2 - 4*w - 5]', '[225, 225, -3*w^2 - 2*w + 10]', '[229, 229, 2*w^2 - w - 4]', '[232, 58, 2*w - 8]', '[233, 233, 2*w + 7]', '[235, 235, 3*w^2 + 4*w - 10]', '[235, 235, 3*w^2 - w - 14]', '[237, 237, -2*w^2 + 3*w + 8]', '[239, 239, -3*w - 4]', '[239, 239, w^2 - 11]', '[239, 239, 4*w^2 - w - 21]', '[241, 241, 3*w^2 + w - 19]', '[243, 9, 3*w^2 + 3*w - 12]', '[243, 27, 3*w + 3]', '[243, 243, w^2 + 3*w - 7]', '[251, 251, -w^2 - 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2*w - 9]', '[647, 647, 2*w^2 + 3*w - 13]', '[653, 653, 3*w^2 - 8]', '[659, 659, 5*w^2 + 4*w - 21]', '[659, 659, 2*w^2 - 4*w - 19]', '[659, 659, -2*w^2 - 6*w + 9]', '[677, 677, -6*w - 13]', '[691, 691, 6*w - 11]', '[701, 701, 3*w^2 - 3*w - 19]', '[719, 719, 2*w^2 + 3*w - 16]', '[727, 727, 3*w^2 + 4*w - 13]', '[733, 733, 3*w^2 - w - 8]', '[739, 739, 2*w^2 + 4*w - 11]', '[739, 739, 4*w^2 - 3*w - 24]', '[739, 739, 3*w^2 - w - 6]', '[743, 743, 4*w^2 - 2*w - 17]', '[751, 751, -w - 9]', '[761, 761, 5*w^2 + 5*w - 19]', '[769, 769, w^2 - 4*w - 6]', '[769, 769, -5*w - 1]', '[769, 769, 2*w^2 - 19]', '[773, 773, 2*w^2 - 6*w - 3]', '[797, 797, 4*w^2 - 17]', '[809, 809, -7*w^2 - 4*w + 29]', '[811, 811, 6*w^2 + 3*w - 29]', '[823, 823, 4*w^2 + 2*w - 13]', '[823, 823, -w^2 - 4*w - 7]', '[823, 823, 4*w^2 + 4*w - 17]', '[827, 827, -2*w^2 - 3*w - 2]', '[829, 829, -w^2 + w - 6]', '[829, 829, -w^2 + 4*w - 9]', '[829, 829, -2*w^2 + 3*w + 21]', '[839, 839, 6*w^2 - 2*w - 31]', '[841, 29, w^2 + 3*w + 6]', '[853, 853, -7*w^2 - 6*w + 27]', '[859, 859, 6*w - 1]', '[881, 881, w^2 + 5*w - 16]', '[907, 907, 2*w^2 + 7*w + 7]', '[919, 919, w^2 - 4*w - 9]', '[953, 953, -4*w^2 - w + 32]', '[967, 967, 5*w^2 - 5*w - 18]', '[971, 971, 3*w^2 - 4*w - 24]', '[977, 977, 2*w^2 + 4*w + 3]', '[997, 997, w^2 + 5*w - 12]', '[997, 997, 5*w^2 - 3*w - 22]', '[997, 997, 3*w^2 + 8*w - 2]']}
20. label: 3.3.788.1
    {'degree': 3, 'discriminant': 788, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 1]', '[3, 3, w]', '[4, 2, w^2 - 2*w - 5]', '[5, 5, -w^2 + 2*w + 4]', '[6, 6, w^2 - w - 6]', '[8, 2, 2]', '[9, 3, w^2 - w - 7]', '[9, 9, w^2 - 2*w - 6]', '[10, 10, w - 1]', '[11, 11, -w^2 + 2*w + 2]', '[12, 6, -w^2 + 2*w + 3]', '[13, 13, w - 2]', '[15, 15, w^2 - 3*w - 3]', '[16, 4, -2*w - 2]', '[17, 17, w^2 - 2*w - 8]', '[18, 6, -w^2 + w + 4]', '[18, 18, w + 3]', '[20, 10, -w^2 + 1]', '[22, 22, -2*w^2 + 3*w + 11]', '[24, 6, 2*w]', '[25, 5, -w^2 + 2]', '[25, 25, -2*w^2 + 3*w + 14]', '[26, 26, -w^2 + w + 2]', '[27, 3, 3]', '[27, 27, -w^2 + w + 3]', '[30, 30, w^2 - w]', '[31, 31, 3*w^2 - 5*w - 19]', '[32, 4, 2*w^2 - 4*w - 10]', '[33, 33, -w^2 + w + 9]', '[34, 34, -w^2 + 3*w + 4]', '[36, 6, -w^2 + 4*w + 1]', '[36, 18, w^2 - 4*w - 3]', '[39, 39, w^2 - 2*w]', '[40, 10, -2*w^2 + 4*w + 8]', '[44, 22, w^2 - 5]', '[45, 15, 2*w^2 - 5*w - 2]', '[45, 45, 2*w^2 - 2*w - 15]', '[48, 12, 2*w^2 - 2*w - 12]', '[50, 10, -3*w^2 + 5*w + 16]', '[50, 50, w^2 - 3*w - 8]', '[51, 51, w^2 - 4*w]', '[52, 26, -3*w^2 + 4*w + 17]', '[53, 53, 2*w^2 - 3*w - 10]', '[53, 53, w^2 - 3*w - 5]', '[53, 53, 2*w - 1]', '[54, 6, -3*w - 3]', '[54, 54, w^2 + 3*w]', '[55, 55, w + 4]', '[59, 59, 2*w^2 - 4*w - 11]', '[59, 59, 2*w^2 - 6*w - 5]', '[59, 59, 2*w + 5]', '[60, 30, -w^2 + 2*w + 9]', '[62, 62, -w^2 + 3*w + 10]', '[64, 4, 4]', '[65, 65, 2*w^2 - 4*w - 13]', '[66, 66, w^2 - 3*w - 6]', '[67, 67, w^2 - 3*w - 7]', '[68, 34, -w^2 - 1]', '[71, 71, 2*w^2 - 2*w - 13]', '[72, 6, 2*w^2 - 2*w - 14]', '[72, 18, 2*w^2 - 4*w - 12]', '[73, 73, 2*w^2 - 4*w - 7]', '[75, 15, -3*w^2 + 5*w + 21]', '[75, 75, w^2 - 6]', '[78, 78, -2*w^2 + 3*w + 15]', '[79, 79, -w^2 + 10]', '[80, 20, 2*w - 2]', '[81, 9, 3*w]', '[81, 9, w^2 - 4*w - 4]', '[81, 81, -4*w - 3]', '[85, 85, 4*w^2 - 6*w - 23]', '[88, 22, -2*w^2 + 4*w + 4]', '[89, 89, 2*w^2 - w - 10]', '[90, 30, -w^2 + w + 10]', '[90, 90, -2*w^2 + 3*w + 9]', '[93, 93, -2*w^2 + 2*w + 9]', '[96, 12, -2*w^2 + 4*w + 6]', '[97, 97, -3*w^2 + 3*w + 23]', '[97, 97, -w^2 + w - 1]', '[97, 97, -w^2 - 2*w + 2]', '[99, 33, 2*w^2 - 5*w - 8]', '[99, 99, 2*w - 3]', '[100, 10, w^2 - 7]', '[100, 50, w^2 - 2*w + 1]', '[102, 102, 2*w^2 - 3*w - 3]', '[103, 103, 2*w^2 - 4*w - 5]', '[104, 26, 2*w - 4]', '[106, 106, -w^2 - w + 4]', '[106, 106, w^2 + w + 2]', '[106, 106, -2*w^2 - w + 1]', '[108, 6, 3*w^2 - 6*w - 15]', '[108, 54, w^2 - 9]', '[110, 110, 2*w^2 - 7*w - 5]', '[113, 113, w^2 - 8]', '[117, 39, -2*w^2 + 2*w + 17]', '[117, 117, -3*w^2 + 5*w + 15]', '[118, 118, w + 5]', '[118, 118, 4*w^2 - 7*w - 23]', '[118, 118, -5*w^2 + 7*w + 34]', '[120, 30, 2*w^2 - 6*w - 6]', '[121, 11, -4*w^2 + 9*w + 14]', '[121, 121, 4*w^2 - 7*w - 26]', '[124, 62, w^2 - 4*w - 5]', '[125, 5, 5]', '[125, 125, -w^2 + 5*w + 1]', '[127, 127, 2*w^2 - 3*w - 8]', '[127, 127, -3*w^2 + 4*w + 22]', '[127, 127, -4*w^2 + 5*w + 26]', '[128, 8, -4*w - 4]', '[130, 130, w^2 - 3*w + 2]', '[131, 131, w^2 - 2*w - 10]', '[132, 66, w^2 + 2*w + 3]', '[134, 134, w^2 + 3*w + 4]', '[135, 15, -3*w^2 + 6*w + 12]', '[135, 135, -w + 6]', '[136, 34, 2*w^2 - 4*w - 16]', '[139, 139, -w^2 - 3*w + 1]', '[142, 142, -2*w^2 + w + 7]', '[143, 143, -4*w - 5]', '[144, 12, -2*w^2 + 2*w + 8]', '[144, 36, 2*w + 6]', '[146, 146, -3*w + 1]', '[149, 149, -6*w^2 + 10*w + 35]', '[150, 30, 2*w^2 - 5*w - 9]', '[150, 150, -3*w^2 + 7*w + 6]', '[151, 151, -5*w^2 + 8*w + 28]', '[153, 51, 2*w^2 + w - 2]', '[153, 153, -3*w^2 + 7*w + 3]', '[155, 155, -2*w^2 + 3*w + 4]', '[156, 78, w^2 - 4*w - 9]', '[158, 158, 2*w^2 - 3*w - 7]', '[159, 159, -2*w^2 + 2*w + 3]', '[159, 159, -w^2 + 4*w + 6]', '[159, 159, 2*w^2 - w]', '[160, 20, -2*w^2 + 2]', '[162, 18, 3*w^2 - 3*w - 18]', '[162, 18, 4*w^2 - 7*w - 25]', '[162, 162, 3*w^2 - 7*w - 12]', '[163, 163, -5*w^2 + 10*w + 22]', '[163, 163, -3*w^2 + 7*w + 7]', '[163, 163, w^2 + 2]', '[165, 165, w^2 + 4*w]', '[167, 167, 2*w^2 - 3*w - 16]', '[169, 13, w^2 + w - 5]', '[169, 169, -w^2 + 3*w + 11]', '[170, 170, -2*w^2 + w + 11]', '[173, 173, 3*w^2 - 6*w - 16]', '[173, 173, 4*w^2 - 8*w - 17]', '[173, 173, -4*w^2 + 7*w + 20]', '[176, 44, -4*w^2 + 6*w + 22]', '[177, 177, 2*w^2 - w - 18]', '[177, 177, -2*w^2 + 3*w + 6]', '[177, 177, -8*w^2 + 11*w + 48]', '[178, 178, -3*w^2 - 3*w + 4]', '[179, 179, w^2 - w - 11]', '[180, 30, w^2 - 4*w - 7]', '[180, 90, w^2 + 2*w - 3]', '[181, 181, -2*w^2 + w + 20]', '[181, 181, 5*w + 4]', '[181, 181, w^2 - 4*w - 8]', '[186, 186, 2*w^2 + 3*w - 3]', '[187, 187, 2*w^2 - 2*w - 7]', '[192, 12, 4*w]', '[193, 193, -w^2 + 2*w - 2]', '[193, 193, -4*w^2 + 9*w + 16]', '[193, 193, 2*w^2 - 6*w - 7]', '[194, 194, w^2 + 7*w + 4]', '[194, 194, 3*w^2 - 5*w - 14]', '[194, 194, -3*w^2 + 3*w + 22]', '[195, 195, -2*w^2 + w + 6]', '[197, 197, 2*w^2 - 5*w - 10]', '[197, 197, -5*w^2 + 9*w + 25]', '[198, 66, w^2 - w + 2]', '[198, 198, -2*w^2 + w + 3]', '[199, 199, w^2 - 5*w - 5]', '[200, 10, -2*w^2 + 4]', '[200, 50, -4*w^2 + 6*w + 28]', '[201, 201, -2*w^2 + 3]', '[204, 102, 3*w^2 - 4*w - 15]', '[206, 206, -5*w - 1]', '[208, 52, -2*w^2 + 2*w + 4]', '[211, 211, 3*w - 2]', '[212, 106, 3*w^2 - 6*w - 5]', '[212, 106, -w^2 + 13]', '[212, 106, -3*w^2 + 6*w + 11]', '[213, 213, w + 6]', '[216, 6, 6]', '[216, 54, -2*w^2 + 2*w + 6]', '[219, 219, -2*w^2 + 7*w + 6]', '[220, 110, 3*w^2 - 6*w - 17]', '[221, 221, -3*w^2 + 3*w + 19]', '[225, 15, 2*w^2 - 5*w - 14]', '[225, 45, -w^2 + 5*w - 3]', '[225, 75, -2*w^2 + 2*w + 5]', '[225, 225, w^2 + w + 3]', '[226, 226, -2*w^2 + w + 5]', '[227, 227, -w^2 + 5*w - 1]', '[229, 229, -2*w^2 + w + 4]', '[234, 78, 2*w^2 - 5*w - 11]', '[234, 234, w^2 + w - 6]', '[236, 118, -5*w^2 + 6*w + 37]', '[236, 118, -w^2 + 2*w + 11]', '[236, 118, 3*w^2 - 6*w - 19]', '[237, 237, -w^2 + 3*w - 3]', '[240, 60, 2*w^2 - 2*w]', '[241, 241, -w^2 - w + 13]', '[242, 22, -w^2 + 5*w - 2]', '[242, 242, -w + 7]', '[243, 9, 3*w^2 - 3*w - 21]', '[243, 27, 3*w^2 - 6*w - 18]', '[243, 243, 2*w^2 - w - 12]', '[248, 62, 6*w^2 - 10*w - 38]', '[250, 10, -5*w - 5]', '[250, 250, 3*w^2 - 3*w - 20]', '[254, 254, -w^2 - 3*w + 2]', '[254, 254, 2*w^2 - 5*w - 13]', '[254, 254, 3*w^2 - 3*w - 14]', '[255, 255, -2*w^2 + 5*w + 12]', '[256, 8, 4*w^2 - 8*w - 20]', '[260, 130, w^2 - 6*w - 5]', '[262, 262, 5*w + 7]', '[263, 263, 3*w^2 - 7*w - 13]', '[264, 66, -2*w^2 + 2*w + 18]', '[265, 265, -3*w^2 + 11*w + 7]', '[265, 265, 3*w^2 - 8*w - 10]', '[265, 265, 3*w - 8]', '[267, 267, w^2 + 4*w + 6]', '[268, 134, -3*w^2 + 4*w + 23]', '[269, 269, -2*w - 7]', '[270, 30, 3*w - 3]', '[270, 270, w^2 - 5*w - 6]', '[271, 271, w^2 + 2*w + 4]', '[272, 68, -2*w^2 + 6*w + 8]', '[275, 55, 6*w^2 - 10*w - 37]', '[275, 275, -3*w^2 + 5*w + 13]', '[277, 277, 3*w^2 - 6*w - 10]', '[278, 278, -2*w^2 + w + 17]', '[279, 93, w^2 + 2*w - 4]', '[279, 279, -5*w - 6]', '[281, 281, -3*w - 8]', '[283, 283, -w^2 + 5*w - 7]', '[284, 142, -9*w^2 + 14*w + 53]', '[286, 286, 5*w^2 - 9*w - 28]', '[288, 12, -2*w^2 + 8*w + 2]', '[288, 36, 2*w^2 - 8*w - 6]', '[289, 17, w^2 + 3*w + 5]', '[289, 289, w^2 - 7*w - 5]', '[291, 291, 2*w - 9]', '[291, 291, -8*w - 3]', '[291, 291, -5*w^2 + 9*w + 33]', '[292, 146, -w^2 - 2*w + 17]', '[295, 295, 3*w^2 - 2*w - 26]', '[295, 295, w^2 + w - 7]', '[295, 295, -3*w^2 + 4*w + 14]', '[297, 33, -3*w^2 + 6*w + 6]', '[297, 297, 2*w^2 - 3*w]', '[298, 298, 2*w^2 - 3*w - 17]', '[300, 30, w^2 + 3]', '[300, 150, -5*w^2 + 8*w + 27]', '[302, 302, -4*w^2 - w + 1]', '[306, 102, 4*w^2 - 7*w - 19]', '[306, 306, w^2 - w - 12]', '[307, 307, 4*w - 1]', '[309, 309, -2*w^2 + 9*w + 6]', '[310, 310, -5*w^2 + 7*w + 28]', '[312, 78, 2*w^2 - 4*w]', '[316, 158, -w^2 - 4*w + 1]', '[317, 317, 3*w - 4]', '[318, 318, -4*w^2 + 5*w + 21]', '[318, 318, -2*w^2 - 3*w - 3]', '[318, 318, -w^2 + 3*w + 12]', '[320, 20, -4*w^2 + 8*w + 16]', '[324, 18, w^2 - 4*w + 5]', '[324, 18, -3*w^2 + 6*w + 9]', '[324, 162, w^2 - 2*w + 3]', '[325, 65, w^2 - 5*w - 7]', '[325, 325, 5*w^2 - 6*w - 34]', '[326, 326, -w^2 - w + 16]', '[326, 326, 3*w - 7]', '[326, 326, -w^2 + 7*w + 2]', '[330, 330, w^2 + w - 12]', '[334, 334, -w^2 + 5*w + 10]', '[335, 335, 2*w^2 - w - 16]', '[337, 337, 6*w + 5]', '[338, 26, -3*w^2 - 3*w + 2]', '[338, 338, 2*w^2 - 7*w - 7]', '[339, 339, w^2 - w + 3]', '[340, 170, 3*w^2 - 6*w - 7]', '[341, 341, 2*w^2 - w - 14]', '[343, 7, -7]', '[346, 346, w + 7]', '[346, 346, w^2 + w - 8]', '[346, 346, -3*w + 5]', '[347, 347, w^2 + 7*w + 5]', '[347, 347, -7*w^2 + 9*w + 47]', '[347, 347, 3*w^2 - 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19*w - 25]', '[9855, 1095, -3*w^2 + 18*w - 30]', '[9855, 9855, 14*w^2 - 31*w - 48]', '[9858, 9858, 8*w^2 - 21*w - 33]', '[9858, 9858, 10*w^2 - 21*w - 21]', '[9858, 9858, 30*w^2 - 49*w - 195]', '[9865, 9865, 4*w^2 - 22*w - 17]', '[9866, 9866, 7*w^2 + 9*w - 14]', '[9868, 4934, -3*w^2 - 4*w + 41]', '[9869, 9869, w^2 - 11*w - 31]', '[9871, 9871, -w^2 - w - 17]', '[9872, 2468, 2*w^2 + 10*w + 20]', '[9872, 2468, -8*w^2 - 18*w + 2]', '[9872, 2468, -18*w^2 + 22*w + 124]', '[9873, 3291, -2*w^2 + 2*w - 13]', '[9873, 3291, w^2 - w + 17]', '[9873, 3291, -13*w^2 + 22*w + 64]', '[9873, 9873, -7*w^2 + 6*w + 18]', '[9873, 9873, -4*w^2 + 5*w + 42]', '[9873, 9873, 7*w^2 - 5*w - 15]', '[9874, 9874, 6*w^2 + 13*w + 13]', '[9875, 395, -5*w^2 + 50]', '[9875, 9875, w^2 - 8*w - 28]', '[9876, 4938, 11*w^2 - 24*w - 21]', '[9885, 9885, w^2 - 21*w - 15]', '[9886, 9886, -5*w^2 - 3*w + 22]', '[9888, 1236, -10*w^2 + 28*w + 6]', '[9892, 4946, -7*w^2 + 6*w + 17]', '[9892, 4946, -19*w^2 + 32*w + 115]', '[9892, 4946, -9*w^2 - 16*w + 7]', '[9893, 9893, 15*w^2 - 21*w - 83]', '[9894, 9894, 13*w^2 - 33*w - 42]', '[9894, 9894, -10*w^2 + 17*w + 75]', '[9894, 9894, -13*w^2 + 15*w + 12]', '[9896, 2474, 12*w^2 - 20*w - 58]', '[9896, 2474, -26*w^2 + 44*w + 148]', '[9896, 2474, 10*w^2 - 8*w - 44]', '[9897, 9897, 12*w^2 - 29*w - 12]', '[9900, 330, -11*w^2 + 20*w + 47]', '[9900, 990, -w^2 + 27]', '[9900, 1650, 11*w^2 - 32*w - 29]', '[9900, 4950, -5*w^2 + 22*w + 3]', '[9902, 9902, 2*w^2 - 3*w - 31]', '[9902, 9902, -2*w^2 - 11*w + 5]', '[9902, 9902, -3*w^2 - 3*w + 34]', '[9903, 9903, 4*w^2 - 29*w - 12]', '[9904, 2476, -8*w^2 + 6*w + 74]', '[9904, 2476, 2*w^2 + 6*w - 16]', '[9904, 2476, -4*w^2 - 14*w + 2]', '[9906, 9906, 7*w^2 - 5*w - 18]', '[9906, 9906, 4*w^2 - 17*w - 21]', '[9906, 9906, 17*w^2 - 25*w - 96]', '[9907, 9907, -6*w^2 - 4*w + 79]', '[9908, 4954, -19*w^2 + 50*w + 37]', '[9909, 1101, -6*w^2 - 9*w + 12]', '[9909, 9909, 4*w^2 + 22*w + 21]', '[9911, 9911, -3*w^2 - 5*w + 17]', '[9911, 9911, -6*w^2 + 11*w + 52]', '[9911, 9911, -2*w^2 + 16*w + 19]', '[9914, 9914, 5*w^2 + 17*w + 20]', '[9920, 620, -8*w^2 + 12*w + 16]', '[9923, 9923, -12*w^2 + 24*w + 47]', '[9924, 4962, -17*w^2 + 34*w + 81]', '[9924, 4962, -w^2 + 22*w + 15]', '[9924, 4962, 11*w^2 - 24*w - 33]', '[9925, 1985, -8*w^2 + 10*w + 31]', '[9925, 9925, 5*w^2 - 21*w - 19]', '[9927, 3309, -13*w^2 + 31*w + 25]', '[9927, 9927, 9*w^2 - 20*w - 6]', '[9928, 2482, -14*w^2 + 20*w + 76]', '[9929, 9929, -24*w^2 + 35*w + 160]', '[9935, 9935, 6*w^2 - 8*w - 53]', '[9938, 9938, -20*w^2 + 27*w + 139]', '[9941, 9941, 9*w^2 - 17*w - 29]', '[9944, 2486, 8*w^2 - 24*w - 26]', '[9945, 3315, 2*w^2 - 14*w + 7]', '[9945, 9945, -5*w^2 + 19*w + 21]', '[9946, 9946, 9*w^2 + 25*w + 20]', '[9948, 4974, -7*w^2 + 4*w + 15]', '[9948, 4974, 11*w^2 - 30*w - 33]', '[9948, 4974, 13*w^2 - 32*w - 45]', '[9949, 9949, w^2 + 7*w - 19]', '[9950, 1990, 2*w^2 + 5*w - 29]', '[9950, 9950, 2*w^2 + 9*w + 19]', '[9955, 9955, -9*w^2 + 10*w + 74]', '[9955, 9955, -12*w^2 + 41*w + 26]', '[9955, 9955, w^2 - 17*w - 29]', '[9957, 9957, -11*w^2 + 22*w + 18]', '[9958, 9958, 4*w^2 + w - 31]', '[9966, 9966, -9*w^2 + 11*w + 12]', '[9967, 9967, 8*w^2 - 8*w - 31]', '[9970, 9970, -10*w^2 + 21*w + 29]', '[9971, 767, 11*w^2 - 15*w - 55]', '[9971, 767, 9*w^2 - 17*w - 19]', '[9971, 767, -w^2 + 12*w - 8]', '[9971, 9971, 5*w^2 - 17*w - 25]', '[9971, 9971, 15*w^2 - 27*w - 97]', '[9971, 9971, -w^2 + 2*w + 26]', '[9972, 1662, -17*w^2 + 50*w + 35]', '[9972, 4986, 11*w^2 - 38*w - 15]', '[9973, 9973, 4*w^2 - 2*w + 7]', '[9974, 9974, 4*w^2 + w - 53]', '[9974, 9974, w^2 + w - 28]', '[9974, 9974, 8*w^2 + 17*w + 13]', '[9977, 9977, -12*w^2 + 17*w + 62]', '[9978, 9978, 19*w^2 - 33*w - 132]', '[9979, 9979, -6*w^2 + 2*w + 37]', '[9979, 9979, 16*w^2 - 29*w - 106]', '[9979, 9979, -14*w^2 + 13*w + 70]', '[9980, 4990, w^2 + 6*w - 37]', '[9980, 4990, 5*w^2 - 16*w - 29]', '[9980, 4990, 9*w^2 - 2*w - 7]', '[9981, 3327, 20*w^2 - 53*w - 38]', '[9981, 9981, -14*w^2 + 38*w + 15]', '[9983, 9983, 3*w^2 - 19*w - 17]', '[9984, 312, 4*w^2 - 16*w - 36]', '[9985, 9985, w^2 + 7*w - 23]', '[9986, 9986, -7*w^2 + 5*w + 16]', '[9987, 9987, -8*w^2 + 11*w + 30]', '[9988, 4994, w^2 + 17]', '[9991, 9991, 11*w^2 - 21*w - 17]', '[9991, 9991, -w^2 + 18*w + 16]', '[9991, 9991, -16*w^2 + 28*w + 101]', '[9992, 2498, 14*w^2 - 30*w - 62]', '[9993, 9993, -3*w^2 + 32*w + 18]', '[9995, 9995, 7*w^2 - 5*w - 17]', '[9995, 9995, 2*w^2 + 14*w - 1]', '[9995, 9995, 16*w^2 - 36*w - 55]', '[9998, 9998, -2*w^2 - 7*w + 13]', '[10000, 100, -6*w^2 + 10*w + 52]', '[10000, 100, 10*w - 10]', '[10000, 2500, 10*w^2 - 22*w - 8]'], 'label': '3.3.788.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w - 1]', '[3, 3, w]', '[5, 5, -w^2 + 2*w + 4]', '[9, 3, w^2 - w - 7]', '[11, 11, -w^2 + 2*w + 2]', '[13, 13, w - 2]', '[17, 17, w^2 - 2*w - 8]', '[25, 5, -w^2 + 2]', '[31, 31, 3*w^2 - 5*w - 19]', '[53, 53, 2*w^2 - 3*w - 10]', '[53, 53, w^2 - 3*w - 5]', '[53, 53, 2*w - 1]', '[59, 59, 2*w^2 - 4*w - 11]', '[59, 59, 2*w^2 - 6*w - 5]', '[59, 59, 2*w + 5]', '[67, 67, w^2 - 3*w - 7]', '[71, 71, 2*w^2 - 2*w - 13]', '[73, 73, 2*w^2 - 4*w - 7]', '[79, 79, -w^2 + 10]', '[89, 89, 2*w^2 - w - 10]', '[97, 97, -3*w^2 + 3*w + 23]', '[97, 97, -w^2 + w - 1]', '[97, 97, -w^2 - 2*w + 2]', '[103, 103, 2*w^2 - 4*w - 5]', '[113, 113, w^2 - 8]', '[121, 11, -4*w^2 + 9*w + 14]', '[127, 127, 2*w^2 - 3*w - 8]', '[127, 127, -3*w^2 + 4*w + 22]', '[127, 127, -4*w^2 + 5*w + 26]', '[131, 131, w^2 - 2*w - 10]', '[139, 139, -w^2 - 3*w + 1]', '[149, 149, -6*w^2 + 10*w + 35]', '[151, 151, -5*w^2 + 8*w + 28]', '[163, 163, -5*w^2 + 10*w + 22]', '[163, 163, -3*w^2 + 7*w + 7]', '[163, 163, w^2 + 2]', '[167, 167, 2*w^2 - 3*w - 16]', '[169, 13, w^2 + w - 5]', '[173, 173, 3*w^2 - 6*w - 16]', '[173, 173, 4*w^2 - 8*w - 17]', '[173, 173, -4*w^2 + 7*w + 20]', '[179, 179, w^2 - w - 11]', '[181, 181, -2*w^2 + w + 20]', '[181, 181, 5*w + 4]', '[181, 181, w^2 - 4*w - 8]', '[193, 193, -w^2 + 2*w - 2]', '[193, 193, -4*w^2 + 9*w + 16]', '[193, 193, 2*w^2 - 6*w - 7]', '[197, 197, 2*w^2 - 5*w - 10]', '[197, 197, -5*w^2 + 9*w + 25]', '[199, 199, w^2 - 5*w - 5]', '[211, 211, 3*w - 2]', '[227, 227, -w^2 + 5*w - 1]', '[229, 229, -2*w^2 + w + 4]', '[241, 241, -w^2 - w + 13]', '[263, 263, 3*w^2 - 7*w - 13]', '[269, 269, -2*w - 7]', '[271, 271, w^2 + 2*w + 4]', '[277, 277, 3*w^2 - 6*w - 10]', '[281, 281, -3*w - 8]', '[283, 283, -w^2 + 5*w - 7]', '[289, 17, w^2 + 3*w + 5]', '[307, 307, 4*w - 1]', '[317, 317, 3*w - 4]', '[337, 337, 6*w + 5]', '[343, 7, -7]', '[347, 347, w^2 + 7*w + 5]', '[347, 347, -7*w^2 + 9*w + 47]', '[347, 347, 3*w^2 - 6*w - 8]', '[349, 349, 6*w^2 - 11*w - 32]', '[359, 359, -5*w^2 + 6*w + 32]', '[367, 367, -2*w^2 - 3*w + 4]', '[373, 373, 3*w^2 - 3*w - 13]', '[379, 379, -4*w^2 + 6*w + 29]', '[379, 379, w^2 + w - 11]', '[379, 379, 6*w^2 - 9*w - 34]', '[383, 383, 5*w^2 - 9*w - 29]', '[389, 389, w - 8]', '[397, 397, -w^2 + 14]', '[421, 421, -4*w^2 + 3*w + 34]', '[439, 439, 4*w^2 - 9*w - 8]', '[461, 461, 2*w^2 - 7*w - 8]', '[463, 463, 2*w^2 - 2*w - 19]', '[467, 467, 2*w^2 - 8*w - 7]', '[479, 479, 4*w^2 - 5*w - 20]', '[479, 479, 6*w + 7]', '[479, 479, 2*w^2 - 11]', '[499, 499, -w^2 - 4*w + 2]', '[499, 499, -w^2 + 2*w - 4]', '[499, 499, 4*w^2 - 4*w - 29]', '[509, 509, 3*w^2 - 5*w - 7]', '[523, 523, -w - 8]', '[541, 541, 4*w^2 - 8*w - 23]', '[547, 547, 2*w^2 - 6*w - 13]', '[563, 563, 4*w^2 - 8*w - 7]', '[563, 563, w^2 - 6*w - 8]', '[563, 563, -9*w^2 + 12*w + 58]', '[569, 569, 5*w^2 - 12*w - 10]', '[569, 569, -2*w^2 + 7*w - 4]', '[569, 569, 4*w^2 - 6*w - 19]', '[571, 571, -4*w^2 + 8*w + 25]', '[577, 577, -4*w + 11]', '[587, 587, 3*w^2 - 3*w - 11]', '[587, 587, -3*w^2 + 7*w + 17]', '[587, 587, -w^2 + 6*w - 2]', '[593, 593, -9*w^2 + 14*w + 52]', '[599, 599, -10*w^2 + 18*w + 53]', '[617, 617, 3*w^2 - 2*w - 10]', '[617, 617, -2*w^2 - 2*w + 7]', '[617, 617, 3*w^2 - 7*w - 19]', '[619, 619, 3*w^2 - 4*w - 10]', '[619, 619, w^2 + w + 5]', '[619, 619, -5*w^2 + 9*w + 23]', '[641, 641, -3*w^2 + w + 29]', '[643, 643, 5*w^2 - 6*w - 26]', '[647, 647, -7*w^2 + 12*w + 44]', '[659, 659, 2*w^2 + 4*w + 5]', '[673, 673, 3*w^2 - 4*w - 8]', '[677, 677, -2*w^2 + w - 2]', '[701, 701, 4*w^2 - 12*w - 11]', '[709, 709, 2*w^2 - 13]', '[719, 719, w^2 + 3*w - 5]', '[727, 727, -3*w^2 + w + 5]', '[727, 727, 4*w - 5]', '[727, 727, -6*w^2 + 11*w + 34]', '[733, 733, 3*w^2 - 2*w - 20]', '[733, 733, 2*w^2 - 4*w - 19]', '[733, 733, -11*w^2 + 18*w + 62]', '[739, 739, 3*w^2 - 9*w - 11]', '[739, 739, -8*w^2 + 13*w + 44]', '[739, 739, -2*w^2 - 6*w + 1]', '[743, 743, 6*w^2 - 7*w - 38]', '[751, 751, -6*w^2 + 12*w + 25]', '[751, 751, -3*w - 10]', '[751, 751, 3*w^2 - 3*w - 7]', '[757, 757, 2*w - 11]', '[761, 761, -6*w^2 + 13*w + 26]', '[787, 787, -2*w^2 + w + 22]', '[787, 787, -8*w^2 + 11*w + 46]', '[787, 787, 3*w^2 - 2*w - 22]', '[809, 809, -6*w^2 + 7*w + 40]', '[823, 823, -2*w^2 + 3*w - 2]', '[827, 827, -5*w^2 + 5*w + 37]', '[827, 827, -2*w^2 - 8*w - 1]', '[827, 827, w - 10]', '[829, 829, w^2 + 4*w + 8]', '[829, 829, 4*w - 7]', '[829, 829, w^2 + 2*w - 14]', '[857, 857, w^2 + 2*w - 20]', '[859, 859, -5*w^2 + 7*w + 37]', '[863, 863, 3*w^2 - 10*w - 10]', '[877, 877, 7*w^2 - 8*w - 50]', '[883, 883, -6*w^2 + 11*w + 38]', '[887, 887, -3*w^2 + 5*w + 25]', '[907, 907, -5*w^2 + 4*w + 44]', '[911, 911, -9*w^2 + 15*w + 55]', '[919, 919, 5*w^2 - 7*w - 25]', '[929, 929, w^2 - 8*w + 14]', '[937, 937, -w^2 - 4*w + 4]', '[941, 941, 4*w^2 - 6*w - 31]', '[947, 947, 2*w^2 - 7*w - 14]', '[953, 953, 4*w^2 - 4*w - 17]', '[961, 31, -6*w^2 + 7*w + 46]', '[967, 967, 7*w^2 - 14*w - 34]', '[971, 971, 4*w^2 - 7*w - 14]', '[977, 977, 4*w^2 - 7*w - 8]', '[983, 983, 5*w^2 - 10*w - 28]', '[997, 997, 4*w^2 - 10*w - 17]']}
21. label: 3.3.837.1
    {'degree': 3, 'discriminant': 837, 'ideals': ['[1, 1, 1]', '[2, 2, w^2 - 2*w - 1]', '[3, 3, w + 2]', '[4, 2, w^2 + w - 3]', '[4, 4, w + 1]', '[5, 5, -w + 2]', '[6, 6, w - 1]', '[8, 2, 2]', '[8, 8, w - 3]', '[9, 3, -w^2 + 2*w + 2]', '[10, 10, -w - 3]', '[12, 6, w^2 - w - 3]', '[12, 12, w^2 + 3*w + 2]', '[13, 13, -2*w - 5]', '[15, 15, -w^2 + 4]', '[16, 4, -w^2 + w + 5]', '[16, 4, 2*w^2 - 4*w - 2]', '[16, 16, -w^2 - w + 4]', '[18, 6, w^2 + w - 2]', '[20, 10, w^2 + w - 1]', '[20, 20, -w^2 + w + 2]', '[24, 6, 2*w + 4]', '[24, 24, w^2 - w - 6]', '[25, 5, -w^2 - 2*w + 2]', '[25, 25, -2*w^2 - 4*w + 1]', '[26, 26, -w^2 + 3]', '[27, 3, 3]', '[30, 30, -w^2 + 3*w - 2]', '[31, 31, -w^2 + 2]', '[31, 31, -2*w + 1]', '[32, 4, 2*w^2 + 2*w - 6]', '[32, 8, 2*w + 2]', '[32, 32, w^2 - 2*w - 3]', '[36, 6, w^2 + w - 5]', '[36, 12, w^2 - 2*w + 1]', '[37, 37, 2*w + 3]', '[39, 39, w - 4]', '[40, 10, -2*w + 4]', '[40, 40, -w^2 - 4*w - 3]', '[41, 41, -w - 4]', '[43, 43, 2*w^2 - 2*w - 7]', '[45, 15, -2*w^2 - 2*w + 7]', '[47, 47, -2*w^2 - 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35]', '[1940, 1940, w^2 + 3*w + 10]', '[1940, 1940, 8*w^2 - 15*w - 7]', '[1940, 1940, -w^2 + 6*w - 13]', '[1942, 1942, 2*w^2 + 11*w + 7]', '[1944, 18, -6*w^2 + 12*w + 12]', '[1944, 72, 6*w^2 + 15*w - 3]', '[1948, 974, -13*w^2 - 19*w + 27]', '[1948, 1948, -3*w^2 - 13*w - 10]', '[1950, 390, -7*w^2 + 16*w + 9]', '[1950, 1950, -3*w^2 - 4*w + 25]', '[1951, 1951, 2*w^2 + w - 22]', '[1952, 244, -6*w^2 - 6*w + 22]', '[1952, 488, -2*w^2 - 6]', '[1952, 1952, 3*w^2 - 9*w + 8]', '[1954, 1954, 7*w^2 + 6*w - 27]', '[1959, 1959, 4*w^2 - 7]', '[1961, 1961, 4*w^2 - 9]', '[1961, 1961, 3*w - 14]', '[1961, 1961, -6*w^2 + 7*w + 24]', '[1963, 1963, -4*w^2 - 3*w + 24]', '[1965, 1965, 4*w^2 - 15*w + 14]', '[1968, 492, 3*w^2 - 7*w - 35]', '[1968, 492, -2*w^2 - 6*w + 8]', '[1968, 1968, 7*w - 13]', '[1970, 1970, -3*w^2 + 6*w - 5]', '[1970, 1970, -9*w^2 - 4*w + 39]', '[1970, 1970, -3*w^2 + 12*w - 7]', '[1971, 219, 6*w^2 - 27]', '[1973, 1973, 2*w^2 - 5*w - 26]', '[1975, 395, -6*w^2 - 2*w + 37]', '[1975, 1975, -6*w^2 - w + 26]', '[1977, 1977, 7*w^2 - 12*w - 10]', '[1979, 1979, 3*w^2 + 8*w - 6]', '[1979, 1979, 3*w^2 + 6*w - 10]', '[1979, 1979, w^2 + 6*w - 24]', '[1982, 1982, 2*w^2 + 5*w - 11]', '[1983, 1983, -8*w^2 + 15*w + 8]', '[1983, 1983, -6*w^2 + 2*w + 43]', '[1983, 1983, 5*w^2 + 6*w - 8]', '[1984, 124, -4*w^2 + 8]', '[1984, 124, -8*w + 4]', '[1984, 248, 3*w^2 - 7*w - 31]', '[1984, 248, w^2 - 5*w - 21]', '[1984, 496, -4*w^2 + 14*w - 6]', '[1984, 496, 6*w^2 - 8*w - 14]', '[1984, 1984, 5*w^2 + 14*w + 9]', '[1984, 1984, -7*w^2 - 4*w + 27]', '[1986, 1986, 2*w^2 + 3*w + 7]', '[1987, 1987, 2*w^2 + 2*w - 23]', '[1990, 1990, -4*w^2 - 3*w + 27]', '[1996, 998, -5*w^2 - 5*w + 11]', '[1996, 1996, 2*w^2 - 11*w - 5]', '[1998, 222, 3*w^2 + 3*w - 30]', '[1999, 1999, 4*w + 15]', '[2000, 20, -5*w^2 + 5*w + 25]', '[2000, 20, 10*w^2 - 20*w - 10]', '[2000, 80, -5*w^2 - 5*w + 20]', '[2000, 500, 2*w^2 + 4*w - 26]', '[2000, 500, -w^2 + w + 17]', '[2000, 2000, -7*w^2 - 10*w + 13]', '[2003, 2003, 7*w^2 - 18*w + 4]', '[2004, 1002, -11*w^2 - 9*w + 41]', '[2004, 1002, -w^2 - 3*w + 19]', '[2004, 1002, w^2 - w + 9]', '[2004, 2004, -w^2 - 5*w - 12]', '[2004, 2004, 19*w^2 + 45*w + 2]', '[2004, 2004, 9*w^2 + 17*w - 8]', '[2005, 2005, 4*w^2 + 5*w + 4]', '[2005, 2005, 10*w^2 + 2*w - 49]', '[2005, 2005, -2*w^2 + 10*w - 7]', '[2007, 669, -2*w^2 + 10*w - 5]', '[2011, 2011, -4*w^2 + 15*w - 10]', '[2012, 1006, -3*w^2 + 5*w + 23]', '[2012, 2012, 5*w^2 - 6*w - 7]', '[2015, 2015, -3*w - 14]', '[2015, 2015, 2*w^2 - 6*w - 21]', '[2018, 2018, 11*w^2 - 29*w - 2]', '[2019, 2019, -4*w^2 + 9*w + 10]', '[2020, 1010, 3*w^2 + 13*w + 7]', '[2020, 2020, 2*w^2 - 7*w - 9]', '[2021, 2021, w^2 + 6*w - 8]', '[2022, 2022, w^2 - 7*w - 18]', '[2025, 45, 6*w^2 - 18*w + 3]', '[2025, 225, -6*w^2 + 6*w + 27]', '[2026, 2026, -9*w^2 + 3*w + 46]', '[2026, 2026, 9*w^2 - 5*w - 48]', '[2026, 2026, -w^2 - 9]', '[2028, 78, 5*w^2 + 7*w - 15]', '[2028, 156, -4*w^2 - 3*w + 25]', '[2028, 1014, 3*w^2 + 5*w - 29]', '[2028, 2028, w^2 + 11*w + 18]', '[2032, 508, 5*w^2 - 5*w - 13]', '[2032, 508, -16*w^2 + 38*w + 10]', '[2032, 2032, -w^2 - 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4*w + 20]', '[739, 739, 5*w^2 - 24]', '[757, 757, 3*w^2 - 4]', '[761, 761, -8*w^2 + 16*w + 9]', '[761, 761, 8*w^2 + 11*w - 18]', '[761, 761, -w^2 + 2*w - 6]', '[769, 769, 4*w^2 - 17]', '[769, 769, -4*w^2 + 9*w + 44]', '[769, 769, -5*w - 14]', '[773, 773, -7*w^2 - 6*w + 24]', '[773, 773, 9*w^2 - 22*w]', '[773, 773, 3*w^2 - 8]', '[787, 787, -6*w^2 + 11*w + 8]', '[809, 809, 6*w^2 - 15*w + 2]', '[809, 809, 6*w^2 - 9*w - 14]', '[809, 809, 5*w - 6]', '[821, 821, 5*w^2 + 2*w - 26]', '[821, 821, 2*w^2 - 4*w - 11]', '[821, 821, -4*w^2 + 4*w + 19]', '[823, 823, 4*w^2 - 3*w - 14]', '[827, 827, 2*w^2 + 3*w - 12]', '[827, 827, 3*w^2 + 8*w + 6]', '[827, 827, -6*w + 13]', '[829, 829, 6*w + 11]', '[839, 839, 2*w^2 - 4*w - 17]', '[857, 857, -w^2 + 4*w - 8]', '[859, 859, 2*w^2 + 3*w - 16]', '[877, 877, 6*w^2 + 2*w - 31]', '[877, 877, 5*w^2 - 12*w + 2]', '[877, 877, 2*w^2 + 5*w - 6]', '[883, 883, 7*w + 18]', '[887, 887, 4*w^2 - 8*w - 9]', '[941, 941, -w - 10]', '[941, 941, 3*w^2 - 4*w - 28]', '[941, 941, 6*w^2 - 14*w + 1]', '[947, 947, -8*w^2 + 17*w + 10]', '[947, 947, 5*w^2 - 8*w - 8]', '[947, 947, 4*w^2 - 4*w - 11]', '[953, 953, -3*w^2 + 6*w + 32]', '[953, 953, -6*w - 7]', '[953, 953, 2*w^2 + 9*w + 12]', '[967, 967, 4*w^2 - 2*w - 15]', '[971, 971, 6*w^2 - 11*w - 6]', '[977, 977, -2*w^2 - 2*w + 21]', '[991, 991, 9*w + 20]']}
22. label: 3.3.892.1
    {'degree': 3, 'discriminant': 892, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 2]', '[2, 2, -w + 1]', '[4, 2, w^2 - 8]', '[4, 2, -w^2 - w + 6]', '[4, 4, -w + 3]', '[5, 5, -w^2 - w + 5]', '[7, 7, w^2 + w - 9]', '[8, 2, 2]', '[8, 4, w^2 - 6]', '[8, 4, w^2 + w - 4]', '[8, 8, -w^2 + 9]', '[10, 10, w]', '[10, 10, w^2 + 2*w - 5]', '[13, 13, -w^2 - w + 7]', '[14, 14, w + 2]', '[14, 14, 2*w^2 + 3*w - 9]', '[16, 4, -2*w + 4]', '[16, 4, w^2 + 2*w - 2]', '[16, 4, -2*w + 2]', '[16, 8, -w^2 - w + 8]', '[16, 16, -w - 1]', '[19, 19, w^2 - w - 1]', '[20, 10, -w^2 + 2*w]', '[20, 10, w^2 + w - 10]', '[20, 20, -w^2 + 5]', '[25, 5, -w^2 + w + 3]', '[25, 25, w^2 - w - 5]', '[26, 26, w^2 - 3]', '[26, 26, -w + 4]', '[27, 3, 3]', '[28, 14, -w^2 + 4]', '[28, 14, -w^2 - w + 2]', '[28, 28, -2*w^2 - w + 13]', '[31, 31, -w^2 + w + 11]', '[32, 4, 2*w^2 - 16]', '[32, 4, -2*w^2 - 2*w + 12]', '[32, 8, -w^2 - 2*w + 6]', '[32, 8, -2*w + 6]', '[32, 16, w^2 - w - 2]', '[32, 32, w^2 - 1]', '[35, 35, 2*w^2 - 15]', '[38, 38, w + 4]', '[38, 38, -3*w + 7]', '[40, 10, -2*w^2 - 2*w + 10]', '[40, 20, w^2 - 10]', '[40, 20, -w^2 + 3*w]', '[40, 40, 3*w - 5]', '[43, 43, -3*w^2 - w + 21]', '[47, 47, 2*w - 1]', '[49, 7, 4*w^2 + 2*w - 29]', '[49, 49, -2*w^2 - 4*w + 7]', '[50, 10, -2*w^2 - 3*w + 6]', '[50, 10, -3*w^2 - 2*w + 19]', '[50, 50, w^2 - 4*w + 5]', '[50, 50, -2*w^2 - 3*w + 10]', '[52, 26, -w^2 + w + 12]', '[52, 26, 3*w^2 + 4*w - 12]', '[52, 52, -w^2 - 2*w + 11]', '[54, 6, -3*w + 6]', '[54, 6, -3*w + 3]', '[56, 14, 2*w^2 + 2*w - 18]', '[56, 28, -w^2 + 4*w - 2]', '[56, 28, -w^2 + w + 6]', '[56, 56, w^2 + 2*w - 7]', '[61, 61, 2*w^2 + 2*w - 9]', '[62, 62, -2*w^2 - w + 12]', '[62, 62, -w^2 - 2*w + 1]', '[64, 4, 4]', '[64, 8, w^2 - 2*w + 2]', '[64, 8, 2*w^2 - 12]', '[64, 8, 2*w^2 + 2*w - 8]', '[64, 16, -2*w^2 + 18]', '[64, 32, 3*w^2 + 3*w - 16]', '[64, 64, w^2 - 2*w - 3]', '[65, 65, 2*w + 5]', '[70, 70, 2*w^2 - w - 10]', '[70, 70, -w + 5]', '[71, 71, w^2 + w - 11]', '[71, 71, -w^2 - 3*w + 7]', '[71, 71, 2*w^2 + 2*w - 13]', '[76, 38, -w^2 - 2*w + 8]', '[76, 38, -w^2 - 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3*w - 1]', '[108, 6, 3*w^2 - 24]', '[108, 6, -3*w^2 - 3*w + 18]', '[108, 12, -3*w + 9]', '[109, 109, -2*w - 1]', '[109, 109, 4*w - 7]', '[109, 109, 4*w^2 + 2*w - 27]', '[112, 28, 2*w + 4]', '[112, 28, 3*w^2 + 2*w - 22]', '[112, 28, 4*w^2 + 6*w - 18]', '[112, 56, -w^2 + 3*w - 4]', '[112, 112, -3*w^2 + 19]', '[113, 113, 2*w^2 - 11]', '[122, 122, -3*w + 2]', '[122, 122, -2*w^2 - 5*w + 11]', '[124, 62, w^2 + 3*w - 8]', '[124, 62, -w^2 + 2*w + 4]', '[124, 124, -3*w^2 + 23]', '[125, 5, 5]', '[125, 125, 2*w^2 + 2*w - 15]', '[127, 127, -2*w^2 + 2*w + 7]', '[128, 8, -4*w + 8]', '[128, 8, 2*w^2 + 4*w - 4]', '[128, 8, -4*w + 4]', '[128, 16, 3*w^2 + 2*w - 18]', '[128, 16, -2*w^2 - 2*w + 16]', '[128, 32, -2*w - 2]', '[128, 64, -3*w^2 - 5*w + 14]', '[128, 128, 2*w^2 - w - 19]', '[130, 130, -2*w^2 - 3*w + 5]', '[130, 130, -2*w^2 - w + 10]', '[131, 131, -2*w - 3]', '[133, 133, -3*w^2 - 5*w + 9]', '[135, 15, -3*w^2 - 3*w + 15]', '[137, 137, 2*w + 7]', '[139, 139, -5*w^2 - 3*w + 33]', '[140, 70, w^2 + 2*w]', '[140, 70, 5*w^2 + 7*w - 20]', '[140, 140, w^2 - 6*w + 5]', '[142, 142, 5*w - 12]', '[142, 142, -3*w - 8]', '[142, 142, -2*w^2 - w + 7]', '[142, 142, -w^2 + 4*w - 1]', '[142, 142, 2*w^2 - w - 9]', '[142, 142, w - 6]', '[149, 149, -w^2 - 3*w + 13]', '[152, 38, 2*w^2 - 2*w - 2]', '[152, 76, w^2 - 4*w + 6]', '[152, 76, -w^2 - w + 12]', '[152, 152, 2*w^2 + w - 9]', '[155, 155, 5*w^2 + w - 35]', '[157, 157, w^2 - 5*w + 3]', '[158, 158, 4*w^2 + w - 33]', '[158, 158, -5*w + 8]', '[158, 158, -6*w^2 - w + 47]', '[158, 158, -2*w^2 - w + 8]', '[158, 158, -w^2 - 6*w + 9]', '[158, 158, 2*w^2 + 3*w - 12]', '[160, 20, -2*w^2 + 4*w]', '[160, 20, 2*w^2 + 2*w - 20]', '[160, 40, 3*w^2 + 6*w - 10]', '[160, 40, -2*w^2 + 10]', '[160, 80, -w^2 - w]', '[160, 160, -5*w^2 - 2*w + 35]', '[163, 163, -4*w^2 + 33]', '[163, 163, 7*w^2 + 3*w - 53]', '[163, 163, -8*w^2 - 4*w + 57]', '[166, 166, w^2 - 2*w + 3]', '[166, 166, 2*w^2 - 3*w - 4]', '[169, 13, w^2 + 3*w - 9]', '[169, 169, -2*w^2 + 19]', '[172, 86, 3*w^2 + 4*w - 16]', '[172, 86, -w^2 + 5*w - 8]', '[172, 172, -2*w^2 + 3*w + 1]', '[173, 173, 3*w^2 + w - 19]', '[175, 35, -w^2 + w + 13]', '[175, 175, 5*w^2 + 3*w - 35]', '[179, 179, 6*w^2 + 2*w - 43]', '[182, 182, -2*w^2 + 3*w + 7]', '[182, 182, -4*w^2 - 3*w + 24]', '[188, 94, -3*w^2 - 3*w + 14]', '[188, 94, w^2 - 12]', '[188, 188, -2*w^2 + 7*w - 3]', '[189, 21, 3*w^2 + 3*w - 27]', '[190, 190, 2*w^2 + 3*w - 20]', '[190, 190, -w^2 + 2*w + 5]', '[193, 193, -6*w + 7]', '[194, 194, -w - 6]', '[194, 194, -4*w^2 - 5*w + 17]', '[196, 14, -5*w^2 - 6*w + 24]', '[196, 14, -w^2 + 3*w + 2]', '[196, 28, w^2 + 4*w - 9]', '[196, 98, 3*w^2 - 2*w - 16]', '[196, 98, -w^2 - 3*w + 12]', '[196, 196, -3*w + 1]', '[197, 197, -5*w^2 - w + 41]', '[197, 197, 4*w^2 + 4*w - 21]', '[197, 197, 3*w^2 + 3*w - 19]', '[199, 199, 2*w^2 - 9]', '[200, 10, -2*w^2 + 2*w + 6]', '[200, 20, w^2 + 4*w + 2]', '[200, 20, -w^2 + w - 2]', '[200, 40, -4*w^2 - w + 27]', '[200, 50, 2*w^2 - 2*w - 10]', '[200, 100, -w^2 - 3*w + 10]', '[200, 100, 5*w^2 + 4*w - 30]', '[200, 200, -w^2 - 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3*w + 24]', '[1948, 1948, -6*w^2 - 9*w + 17]', '[1949, 1949, 10*w - 21]', '[1951, 1951, -11*w^2 - 15*w + 43]', '[1951, 1951, 10*w - 19]', '[1951, 1951, -15*w^2 - 3*w + 113]', '[1952, 244, -6*w^2 - 14*w + 12]', '[1952, 244, -10*w^2 - 8*w + 64]', '[1952, 488, -7*w^2 - 14*w + 26]', '[1952, 488, 4*w^2 - 2*w - 14]', '[1952, 976, 3*w^2 + w - 2]', '[1952, 1952, 9*w^2 + 10*w - 31]', '[1954, 1954, -6*w^2 - 5*w + 48]', '[1954, 1954, w^2 - 4*w - 11]', '[1960, 70, 2*w^2 - 6*w + 10]', '[1960, 140, -11*w^2 - 16*w + 50]', '[1960, 140, 9*w^2 + w - 60]', '[1960, 280, -2*w^2 - w + 25]', '[1960, 490, -4*w^2 + 4*w + 10]', '[1960, 980, -3*w^2 + w]', '[1960, 980, w^2 + 8*w - 30]', '[1960, 1960, -7*w^2 - 2*w + 45]', '[1966, 1966, 4*w^2 - w - 12]', '[1966, 1966, -10*w^2 - w + 78]', '[1966, 1966, -3*w^2 - 8*w + 21]', '[1966, 1966, 5*w^2 + 4*w - 11]', '[1966, 1966, 8*w^2 + 7*w - 51]', '[1966, 1966, 2*w^2 - 5*w - 8]', '[1970, 1970, 6*w^2 + 5*w - 30]', '[1970, 1970, -6*w^2 + w + 50]', '[1970, 1970, 8*w^2 + 11*w - 40]', '[1970, 1970, 8*w^2 + 13*w - 25]', '[1970, 1970, 8*w^2 + 9*w - 45]', '[1970, 1970, -2*w^2 + 9*w - 15]', '[1973, 1973, -w^2 - 7*w - 9]', '[1975, 395, -4*w^2 - 6*w + 27]', '[1975, 395, -4*w^2 + 4*w + 7]', '[1975, 395, 6*w^2 + 4*w - 33]', '[1975, 1975, 2*w^2 - 6*w - 5]', '[1975, 1975, -4*w^2 + 2*w + 35]', '[1975, 1975, 2*w^2 - 25]', '[1976, 494, -8*w + 6]', '[1976, 988, -7*w^2 - 5*w + 54]', '[1976, 988, -w^2 - 8*w + 22]', '[1976, 1976, w^2 - 4*w - 13]', '[1981, 1981, 7*w^2 + 5*w - 53]', '[1982, 1982, -11*w^2 - 4*w + 77]', '[1982, 1982, 3*w^2 + 6*w - 31]', '[1982, 1982, -7*w^2 - 14*w + 23]', '[1982, 1982, -2*w^2 - w - 2]', '[1982, 1982, -8*w^2 + 3*w + 48]', '[1982, 1982, -6*w^2 - 7*w + 36]', '[1984, 124, -4*w^2 + 4*w + 44]', '[1984, 248, 18*w^2 + 8*w - 132]', '[1984, 248, w^2 + 6*w + 2]', '[1984, 248, -6*w^2 + 2*w + 32]', '[1984, 496, 2*w - 14]', '[1984, 992, -5*w^2 - 3*w + 18]', '[1984, 1984, 6*w^2 + w - 53]', '[1985, 1985, 4*w^2 + 10*w - 15]', '[1987, 1987, -w^2 + 5*w - 13]', '[1988, 994, w^2 - 4*w - 12]', '[1988, 994, -7*w^2 - 11*w + 34]', '[1988, 994, 5*w^2 + 5*w - 38]', '[1988, 994, -9*w^2 + 64]', '[1988, 994, 5*w^2 - 2*w - 24]', '[1988, 994, w^2 - w + 8]', '[1988, 1988, 8*w^2 - w - 69]', '[1988, 1988, w^2 + 6*w + 1]', '[1988, 1988, 13*w^2 + 4*w - 93]', '[1990, 1990, 3*w^2 + 10*w - 15]', '[1990, 1990, 2*w^2 + 7*w - 20]', '[1993, 1993, -12*w^2 - 6*w + 89]', '[1994, 1994, 4*w^2 + 3*w - 7]', '[1994, 1994, 3*w^2 - 1]', '[1994, 1994, w^2 - 4*w - 23]', '[1994, 1994, 4*w^2 - w - 14]', '[1994, 1994, 4*w^2 - 3*w - 12]', '[1994, 1994, -12*w^2 - 5*w + 84]', '[1996, 998, 5*w^2 - 3*w - 22]', '[1996, 998, w^2 - 6*w - 24]', '[1996, 1996, w^2 - 2*w + 9]', '[2000, 20, -10*w + 20]', '[2000, 20, 5*w^2 + 10*w - 10]', '[2000, 20, -10*w + 10]', '[2000, 40, -5*w^2 - 5*w + 40]', '[2000, 80, -5*w - 5]', '[2000, 500, 6*w - 20]', '[2000, 500, 9*w^2 + 10*w - 50]', '[2000, 500, -4*w^2 + 2*w + 10]', '[2000, 1000, 7*w^2 + 3*w - 60]', '[2000, 2000, -6*w^2 - 3*w + 35]', '[2003, 2003, 5*w^2 + w - 27]', '[2003, 2003, 11*w^2 + 7*w - 71]', '[2003, 2003, 2*w^2 - 6*w - 33]', '[2005, 2005, -10*w^2 - 6*w + 85]', '[2005, 2005, -2*w^2 + 16*w - 25]', '[2005, 2005, w^2 - 5*w - 5]', '[2008, 502, 10*w^2 + 10*w - 58]', '[2008, 1004, -9*w^2 + 74]', '[2008, 1004, w^2 + 5*w - 24]', '[2008, 2008, -4*w^2 + w + 13]', '[2011, 2011, w^2 + 9*w + 19]', '[2015, 2015, -w^2 - 7*w + 5]', '[2017, 2017, 12*w^2 + 8*w - 77]', '[2018, 2018, -9*w^2 - 14*w + 41]', '[2018, 2018, -5*w - 8]', '[2020, 1010, -w^2 - 8*w + 20]', '[2020, 1010, -w^2 - 9*w + 10]', '[2020, 1010, -w^2 - 12*w + 20]', '[2020, 1010, 3*w^2 - 3*w - 20]', '[2020, 1010, w^2 - 5*w - 20]', '[2020, 1010, -11*w^2 - 6*w + 80]', '[2020, 2020, -4*w^2 - 7*w + 25]', '[2020, 2020, -7*w^2 - 16*w + 35]', '[2020, 2020, 5*w^2 - 6*w - 15]', '[2021, 2021, 5*w^2 + 5*w - 39]', '[2027, 2027, -16*w^2 - 4*w + 127]', '[2027, 2027, 4*w^2 + 10*w - 9]', '[2027, 2027, 2*w^2 - 2*w - 27]', '[2029, 2029, -w^2 + 7*w - 1]', '[2032, 508, -8*w^2 + 26*w - 12]', '[2032, 508, -5*w^2 - 2*w + 26]', '[2032, 508, -4*w^2 + 22*w - 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w + 5]', '[7, 7, w^2 + w - 9]', '[13, 13, -w^2 - w + 7]', '[19, 19, w^2 - w - 1]', '[25, 5, -w^2 + w + 3]', '[27, 3, 3]', '[31, 31, -w^2 + w + 11]', '[43, 43, -3*w^2 - w + 21]', '[47, 47, 2*w - 1]', '[49, 7, 4*w^2 + 2*w - 29]', '[61, 61, 2*w^2 + 2*w - 9]', '[71, 71, w^2 + w - 11]', '[71, 71, -w^2 - 3*w + 7]', '[71, 71, 2*w^2 + 2*w - 13]', '[79, 79, w^2 + 3*w - 1]', '[79, 79, w^2 + w - 1]', '[79, 79, -w^2 - 3*w - 1]', '[83, 83, w^2 - w - 7]', '[97, 97, 4*w^2 + 4*w - 23]', '[101, 101, -w^2 + w + 9]', '[101, 101, w^2 + 3*w - 3]', '[101, 101, 2*w - 7]', '[107, 107, 2*w^2 + 2*w - 17]', '[107, 107, 5*w^2 + 7*w - 21]', '[107, 107, w^2 - 3*w - 1]', '[109, 109, -2*w - 1]', '[109, 109, 4*w - 7]', '[109, 109, 4*w^2 + 2*w - 27]', '[113, 113, 2*w^2 - 11]', '[127, 127, -2*w^2 + 2*w + 7]', '[131, 131, -2*w - 3]', '[137, 137, 2*w + 7]', '[139, 139, -5*w^2 - 3*w + 33]', '[149, 149, -w^2 - 3*w + 13]', '[157, 157, w^2 - 5*w + 3]', '[163, 163, -4*w^2 + 33]', '[163, 163, 7*w^2 + 3*w - 53]', '[163, 163, -8*w^2 - 4*w + 57]', '[169, 13, w^2 + 3*w - 9]', '[173, 173, 3*w^2 + w - 19]', '[179, 179, 6*w^2 + 2*w - 43]', '[193, 193, -6*w + 7]', '[197, 197, -5*w^2 - w + 41]', '[197, 197, 4*w^2 + 4*w - 21]', '[197, 197, 3*w^2 + 3*w - 19]', '[199, 199, 2*w^2 - 9]', '[211, 211, w^2 + 3*w - 11]', '[223, 223, w^2 + 5*w - 7]', '[223, 223, 5*w^2 + 5*w - 27]', '[227, 227, -2*w^2 + 2*w + 3]', '[229, 229, 2*w^2 - 7]', '[233, 233, -4*w - 11]', '[239, 239, 4*w^2 + 6*w - 19]', '[251, 251, 5*w^2 + 5*w - 29]', '[269, 269, w^2 + w - 13]', '[277, 277, -w^2 - w - 1]', '[283, 283, 2*w^2 + 4*w - 3]', '[293, 293, -4*w^2 + 31]', '[313, 313, 3*w^2 - w - 27]', '[337, 337, 2*w^2 + 2*w - 21]', '[347, 347, -2*w^2 - 6*w + 13]', '[353, 353, -5*w^2 - 3*w + 37]', '[353, 353, 2*w^2 + 4*w - 13]', '[353, 353, -w^2 + w - 3]', '[359, 359, 2*w - 9]', '[361, 19, -7*w^2 - 3*w + 49]', '[367, 367, w^2 - 5*w + 9]', '[373, 373, 3*w^2 + w - 27]', '[379, 379, -w^2 - 5*w - 7]', '[397, 397, -w^2 - 5*w + 11]', '[401, 401, 6*w^2 + 4*w - 41]', '[401, 401, -9*w^2 - 3*w + 71]', '[401, 401, 6*w - 13]', '[409, 409, 2*w^2 - 2*w + 1]', '[419, 419, 4*w^2 + 4*w - 19]', '[421, 421, -w^2 - 3*w - 3]', '[433, 433, 2*w^2 + 6*w - 1]', '[433, 433, 9*w^2 + 5*w - 63]', '[433, 433, 3*w^2 + 3*w - 23]', '[443, 443, -3*w^2 - 7*w + 7]', '[449, 449, -3*w^2 - 3*w + 7]', '[457, 457, -2*w^2 - 6*w + 9]', '[463, 463, -3*w^2 - w + 9]', '[479, 479, -w^2 - 3*w + 17]', '[487, 487, -w^2 + 5*w - 1]', '[499, 499, -14*w^2 - 4*w + 109]', '[509, 509, 4*w - 1]', '[509, 509, -5*w^2 - w + 33]', '[509, 509, -3*w^2 - 5*w + 17]', '[521, 521, -15*w^2 - 5*w + 111]', '[523, 523, -2*w^2 + 6*w - 7]', '[523, 523, 2*w^2 - 21]', '[523, 523, 2*w + 9]', '[541, 541, 5*w^2 + 3*w - 31]', '[547, 547, -w^2 - 5*w + 17]', '[557, 557, -3*w^2 + w + 23]', '[563, 563, -4*w^2 - 8*w + 9]', '[563, 563, 2*w^2 - 2*w - 13]', '[563, 563, -2*w^2 + 6*w + 1]', '[569, 569, -4*w - 13]', '[593, 593, 8*w - 9]', '[599, 599, w^2 + 5*w - 13]', '[601, 601, w^2 + 7*w - 13]', '[613, 613, 3*w^2 + w - 11]', '[641, 641, 4*w^2 + 2*w - 23]', '[643, 643, -w^2 - w - 3]', '[647, 647, -3*w^2 - 7*w + 17]', '[653, 653, 3*w^2 - w - 13]', '[659, 659, w^2 + 7*w - 9]', '[661, 661, 2*w^2 + 4*w - 17]', '[677, 677, -6*w^2 + 49]', '[677, 677, -11*w^2 - 5*w + 81]', '[677, 677, -14*w^2 - 6*w + 103]', '[683, 683, 2*w^2 + 4*w - 19]', '[691, 691, w^2 - 3*w + 7]', '[691, 691, -8*w + 13]', '[691, 691, 3*w^2 - 5*w - 3]', '[709, 709, 4*w^2 + 4*w - 27]', '[719, 719, -w^2 - 7*w - 11]', '[727, 727, -13*w^2 - 3*w + 99]', '[739, 739, -5*w^2 - w + 43]', '[739, 739, 4*w + 9]', '[739, 739, -w^2 + 3*w + 19]', '[743, 743, 2*w^2 - 4*w - 7]', '[751, 751, 7*w^2 + 5*w - 47]', '[757, 757, -8*w^2 + 69]', '[761, 761, w^2 - 3*w - 7]', '[773, 773, -2*w^2 - 4*w + 1]', '[809, 809, -10*w^2 - 4*w + 71]', '[811, 811, w^2 + 5*w - 3]', '[811, 811, -8*w^2 - 10*w + 37]', '[811, 811, 6*w^2 + 6*w - 31]', '[823, 823, 2*w^2 - 2*w - 17]', '[823, 823, 3*w^2 - w - 11]', '[823, 823, -3*w^2 - 5*w + 19]', '[829, 829, 7*w^2 + 5*w - 43]', '[853, 853, -3*w^2 + 3*w + 7]', '[857, 857, 3*w^2 + 7*w - 3]', '[857, 857, 4*w^2 - 2*w - 19]', '[857, 857, 3*w^2 - w - 9]', '[859, 859, 2*w^2 + 2*w - 23]', '[859, 859, -10*w^2 - 6*w + 69]', '[859, 859, -3*w^2 - 5*w + 31]', '[877, 877, -10*w^2 - 2*w + 81]', '[883, 883, 7*w^2 + 7*w - 41]', '[883, 883, 3*w^2 + w - 29]', '[883, 883, 8*w^2 + 6*w - 49]', '[887, 887, 16*w^2 + 6*w - 117]', '[907, 907, 5*w^2 + 5*w - 23]', '[911, 911, w^2 - 3*w - 13]', '[919, 919, 5*w^2 + 5*w - 19]', '[919, 919, 3*w^2 + 3*w - 31]', '[919, 919, 4*w^2 + 2*w - 21]', '[937, 937, w^2 - 5*w - 1]', '[947, 947, -7*w^2 - 3*w + 47]', '[953, 953, 7*w^2 + 7*w - 37]', '[961, 31, -5*w^2 + w + 47]', '[967, 967, 4*w^2 + 4*w - 33]', '[967, 967, -5*w^2 - w + 31]', '[967, 967, -6*w^2 + 47]', '[977, 977, -7*w^2 - w + 59]', '[983, 983, -w^2 - 5*w - 1]', '[983, 983, 8*w - 17]', '[983, 983, 5*w^2 + 3*w - 29]', '[991, 991, 6*w^2 + 8*w - 31]', '[991, 991, -11*w^2 - 3*w + 79]', '[991, 991, w^2 + 7*w + 13]', '[997, 997, -4*w - 7]', '[997, 997, w^2 - 3*w - 11]', '[997, 997, -w^2 + 5*w - 11]']}
23. label: 3.3.940.1
    {'degree': 3, 'discriminant': 940, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 2]', '[2, 2, -w - 1]', '[4, 2, w^2 - w - 6]', '[4, 2, w^2 - 2*w - 3]', '[4, 4, w]', '[5, 5, -w^2 + w + 7]', '[5, 5, -w^2 + w + 5]', '[8, 2, 2]', '[8, 4, -w^2 + w + 8]', '[8, 4, w^2 - 2*w - 1]', '[8, 8, w^2 - 8]', '[10, 10, -w - 3]', '[10, 10, w^2 - 6]', '[10, 10, -w + 2]', '[10, 10, w - 1]', '[16, 4, -2*w - 4]', '[16, 4, w^2 - 7]', '[16, 4, -2*w - 2]', '[16, 8, -w^2 + w + 4]', '[16, 16, -2*w^2 + w + 12]', '[17, 17, -w^2 + 3*w + 1]', '[20, 10, w^2 - 9]', '[20, 10, w^2 - w - 2]', '[20, 10, -w^2 - w + 2]', '[20, 10, -w^2 + 1]', '[20, 20, w^2 - 2*w - 4]', '[20, 20, w^2 - 4]', '[23, 23, -w^2 + w + 3]', '[25, 5, -w^2 + 3*w + 3]', '[25, 5, -w^2 - w + 1]', '[25, 25, -2*w - 3]', '[27, 3, 3]', '[29, 29, -w^2 + 3*w - 1]', '[32, 4, 2*w^2 - 2*w - 12]', '[32, 4, 2*w^2 - 4*w - 6]', '[32, 8, 2*w]', '[32, 8, -w^2 + 3]', '[32, 16, w^2 + w - 4]', '[32, 32, -w + 4]', '[34, 34, -2*w^2 + w + 15]', '[34, 34, -w^2 + 2]', '[37, 37, w^2 + w + 1]', '[40, 10, -2*w^2 + 2*w + 14]', '[40, 10, -2*w^2 + 2*w + 10]', '[40, 20, -w^2 + 2*w + 5]', '[40, 20, w^2 - w]', '[40, 20, -w^2 - 3*w]', '[40, 20, w^2 - 2*w - 9]', '[40, 40, w + 4]', '[40, 40, -w^2 + 2*w]', '[41, 41, w^2 - w - 9]', '[43, 43, -3*w^2 + 3*w + 17]', '[46, 46, w^2 + 2*w - 2]', '[46, 46, 3*w + 1]', '[47, 47, 2*w^2 - 2*w - 13]', '[47, 47, -2*w + 5]', '[50, 10, -w^2 - 2*w - 2]', '[50, 10, -3*w^2 + 2*w + 18]', '[50, 10, -2*w^2 + 3*w + 7]', '[50, 10, 2*w^2 - w - 11]', '[50, 50, -w^2 + 4*w + 2]', '[50, 50, 2*w^2 - 3*w - 9]', '[53, 53, 3*w^2 - w - 19]', '[54, 6, -3*w - 6]', '[54, 6, -3*w - 3]', '[58, 58, -w^2 + 2*w + 6]', '[58, 58, -2*w^2 + 5*w + 5]', '[59, 59, 2*w - 1]', '[64, 4, 4]', '[64, 8, -2*w^2 + 2*w + 16]', '[64, 8, w^2 + 4*w + 1]', '[64, 8, 2*w^2 - 4*w - 2]', '[64, 16, 2*w^2 - 16]', '[64, 32, w^2 - 3*w - 4]', '[64, 64, w^2 - 2*w - 8]', '[67, 67, w^2 + w - 5]', '[68, 34, w^2 - 2*w - 7]', '[68, 34, -3*w^2 + 5*w + 10]', '[68, 68, -4*w^2 + 3*w + 24]', '[71, 71, -3*w^2 + w + 21]', '[74, 74, 2*w^2 - 5*w - 1]', '[74, 74, -w^2 + 10]', '[79, 79, 3*w^2 - w - 23]', '[80, 20, -2*w - 6]', '[80, 20, 2*w^2 - 12]', '[80, 20, -w^2 - 1]', '[80, 20, w^2 + 4*w + 5]', '[80, 20, -2*w + 4]', '[80, 20, 2*w - 2]', '[80, 40, -w^2 - w + 12]', '[80, 40, -3*w^2 + w + 20]', '[80, 80, 3*w + 4]', '[80, 80, -2*w^2 + 3*w + 4]', '[82, 82, 3*w + 5]', '[82, 82, -w^2 + 4*w + 14]', '[85, 85, 2*w^2 - 2*w - 9]', '[85, 85, -3*w^2 + w + 17]', '[86, 86, 3*w^2 - 2*w - 22]', '[86, 86, w - 5]', '[89, 89, 2*w^2 - 4*w - 7]', '[89, 89, -2*w^2 - 2*w + 5]', '[89, 89, 2*w - 3]', '[92, 46, -w^2 + 2*w + 11]', '[92, 46, w^2 + w - 10]', '[92, 92, w^2 - 4*w - 4]', '[94, 94, w + 5]', '[94, 94, 2*w^2 - 3*w - 5]', '[94, 94, -w^2 + 4*w - 2]', '[94, 94, 2*w^2 - w - 10]', '[97, 97, 2*w^2 - 9]', '[100, 10, -w^2 + 3*w - 2]', '[100, 10, w^2 + w - 6]', '[100, 10, -w^2 - 2*w + 3]', '[100, 10, -w^2 + 4*w + 1]', '[100, 20, w^2 - 4*w + 4]', '[100, 20, 2*w^2 - w - 16]', '[100, 50, -w^2 + w + 10]', '[100, 50, w^2 - 2*w + 1]', '[100, 100, -2*w^2 - 3*w]', '[103, 103, -2*w^2 + 2*w + 3]', '[103, 103, -5*w^2 + 5*w + 27]', '[103, 103, -2*w^2 + 6*w + 3]', '[106, 106, -5*w^2 + 26]', '[106, 106, -2*w^2 - w + 7]', '[107, 107, w^2 - 3*w - 5]', '[108, 6, 3*w^2 - 3*w - 18]', '[108, 6, 3*w^2 - 6*w - 9]', '[108, 12, 3*w]', '[109, 109, -w^2 + w - 1]', '[113, 113, -4*w^2 + 8*w + 9]', '[113, 113, 4*w^2 - 2*w - 29]', '[113, 113, -2*w^2 + 15]', '[115, 115, -2*w^2 + 13]', '[115, 115, -2*w + 7]', '[116, 58, -w^2 - w - 2]', '[116, 58, 3*w^2 - 2*w - 17]', '[116, 116, -3*w - 8]', '[118, 118, -2*w^2 - w + 1]', '[118, 118, -2*w^2 - 3*w + 2]', '[125, 5, 5]', '[125, 25, -2*w^2 - 2*w + 7]', '[125, 25, 2*w^2 - 6*w - 1]', '[125, 125, w^2 + w - 7]', '[127, 127, -w^2 - w + 9]', '[128, 8, -4*w - 8]', '[128, 8, 2*w^2 - 14]', '[128, 8, -4*w - 4]', '[128, 16, -2*w^2 + 2*w + 8]', '[128, 16, -w^2 + 4*w - 1]', '[128, 32, -4*w^2 + 2*w + 24]', '[128, 64, w^2 + 3*w + 4]', '[128, 128, -w^2 + 4*w]', '[131, 131, 2*w^2 - 2*w - 1]', '[134, 134, -2*w^2 - 3*w + 1]', '[134, 134, -3*w^2 - 4*w + 6]', '[135, 15, -3*w^2 + 3*w + 21]', '[135, 15, -3*w^2 + 3*w + 15]', '[136, 34, -2*w^2 + 6*w + 2]', '[136, 68, w^2 + 2*w + 3]', '[136, 68, w^2 + w - 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26]', '[1910, 1910, -2*w^2 - 3*w + 15]', '[1910, 1910, -2*w^2 + 7*w + 29]', '[1910, 1910, -10*w^2 + 3*w + 62]', '[1912, 478, 4*w^2 - 8*w - 18]', '[1912, 956, 11*w^2 - 26*w - 23]', '[1912, 956, 7*w^2 - 7*w - 48]', '[1912, 1912, -11*w^2 + 12*w + 56]', '[1916, 958, 3*w^2 + 5*w + 6]', '[1916, 958, -7*w^2 + 4*w + 39]', '[1916, 1916, w^2 + 10*w + 20]', '[1917, 213, -9*w^2 + 3*w + 63]', '[1921, 1921, -4*w^2 + 2*w + 13]', '[1921, 1921, -3*w^2 + 11*w - 9]', '[1921, 1921, -w^2 - 7*w + 27]', '[1927, 1927, -10*w - 3]', '[1927, 1927, -7*w^2 + w + 53]', '[1931, 1931, -9*w^2 + 17*w + 23]', '[1933, 1933, -2*w^2 - 5]', '[1940, 970, -13*w^2 + 8*w + 81]', '[1940, 970, w^2 + 3*w + 10]', '[1940, 970, -3*w^2 - 8*w - 9]', '[1940, 970, -w^2 - 13*w - 26]', '[1940, 1940, -3*w^2 + 8*w + 36]', '[1940, 1940, -3*w^2 - 2*w + 20]', '[1943, 1943, -6*w + 13]', '[1945, 1945, -4*w^2 - 6*w - 5]', '[1945, 1945, -8*w^2 + 6*w + 45]', '[1949, 1949, 3*w^2 - 9*w + 5]', '[1951, 1951, -4*w - 15]', '[1954, 1954, -6*w^2 - 11*w + 3]', '[1954, 1954, -10*w^2 - 13*w + 22]', '[1955, 1955, -w^2 + 5*w - 11]', '[1955, 1955, -4*w^2 + 4*w + 35]', '[1961, 1961, -11*w^2 + 25*w + 15]', '[1964, 982, -w^2 - 4*w - 11]', '[1964, 982, 3*w^2 - 11*w + 2]', '[1964, 1964, -5*w^2 + 36]', '[1966, 1966, 5*w^2 - 34]', '[1966, 1966, -2*w^2 + 9*w - 3]', '[1970, 1970, 4*w^2 - 5*w - 1]', '[1970, 1970, 2*w^2 - 9*w + 2]', '[1970, 1970, 3*w + 14]', '[1970, 1970, -2*w^2 - 7*w - 11]', '[1972, 986, -11*w^2 + 9*w + 70]', '[1972, 986, -7*w^2 + 12*w + 27]', '[1972, 1972, -w^2 - 6*w + 4]', '[1973, 1973, 4*w^2 + 2*w - 9]', '[1973, 1973, 4*w^2 - 2*w - 9]', '[1973, 1973, -4*w^2 + 37]', '[1975, 395, 8*w^2 - 14*w - 29]', '[1975, 395, 6*w^2 - 4*w - 31]', '[1975, 1975, -7*w^2 + 7*w + 45]', '[1978, 1978, 8*w^2 - 5*w - 46]', '[1978, 1978, 6*w^2 - 9*w - 19]', '[1982, 1982, -2*w^2 + 7*w + 22]', '[1982, 1982, -2*w^2 + 9*w + 11]', '[1985, 1985, 7*w^2 - 5*w - 53]', '[1985, 1985, 3*w^2 + 3*w - 31]', '[1987, 1987, 11*w^2 - 7*w - 67]', '[1990, 1990, -8*w^2 + w + 47]', '[1990, 1990, 11*w + 23]', '[1990, 1990, 12*w^2 - 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3]', '[9980, 4990, 3*w^2 - 5*w - 38]', '[9980, 4990, 5*w^2 - 13*w + 6]', '[9980, 4990, -27*w^2 + 24*w + 155]', '[9980, 4990, -13*w^2 + 3*w + 70]', '[9980, 4990, -7*w^2 + 4*w + 23]', '[9980, 4990, -7*w^2 + 13*w + 34]', '[9980, 4990, 9*w^2 + 10*w - 19]', '[9980, 4990, 9*w^2 - 9*w - 38]', '[9980, 4990, -w^2 + 16*w + 37]', '[9980, 9980, 15*w^2 - 16*w - 84]', '[9980, 9980, 11*w^2 - 16*w - 52]', '[9980, 9980, -14*w^2 + 13*w + 96]', '[9980, 9980, -7*w^2 + 4*w + 60]', '[9980, 9980, w^2 - 14*w + 28]', '[9980, 9980, 19*w^2 - 10*w - 116]', '[9983, 9983, -16*w^2 + 8*w + 95]', '[9983, 9983, 8*w^2 - 14*w - 37]', '[9983, 9983, -17*w^2 + 15*w + 105]', '[9985, 9985, -4*w^2 - 14*w + 3]', '[9985, 9985, -5*w^2 + 21*w + 9]', '[9985, 9985, -15*w^2 - w + 127]', '[9985, 9985, -7*w^2 + 25*w + 13]', '[9985, 9985, -19*w^2 + 23*w + 95]', '[9985, 9985, 7*w^2 - 19*w - 23]', '[9990, 1110, 3*w^2 - 18*w - 6]', '[9990, 1110, 21*w + 9]', '[9990, 1110, -12*w^2 + 15*w + 63]', '[9990, 1110, 6*w^2 + 15*w - 6]', '[9991, 9991, 4*w^2 - 14*w - 21]', '[9991, 9991, 4*w^2 + 6*w + 11]', '[9991, 9991, 3*w^2 + 23*w + 33]', '[9992, 2498, 12*w^2 - 8*w - 66]', '[9992, 2498, 10*w^2 - 14*w - 18]', '[9992, 2498, 2*w^2 - 6*w - 34]', '[9992, 4996, 11*w^2 - 18*w - 31]', '[9992, 4996, 3*w^2 + 6*w - 47]', '[9992, 4996, 15*w^2 - 17*w - 120]', '[9992, 4996, -5*w^2 - 5*w - 8]', '[9992, 4996, 7*w^2 - w - 24]', '[9992, 4996, -5*w^2 + 6*w - 3]', '[9992, 9992, -w^2 - 14*w - 32]', '[9992, 9992, -14*w^2 + 27*w + 44]', '[9992, 9992, -18*w^2 + 7*w + 124]', '[9995, 9995, 11*w^2 - 17*w - 49]', '[9995, 9995, 11*w^2 - 5*w - 59]', '[9998, 9998, -8*w^2 - 5*w + 5]', '[9998, 9998, -9*w^2 - 12*w + 14]', '[10000, 100, -4*w^2 + 6*w + 44]', '[10000, 100, -19*w^2 + 16*w + 109]', '[10000, 100, -10*w - 30]', '[10000, 100, 10*w^2 - 60]', '[10000, 100, 4*w^2 - 6*w + 6]', '[10000, 100, -5*w^2 - 5]', '[10000, 100, 5*w^2 + 20*w + 25]', '[10000, 100, -10*w + 20]', '[10000, 100, 10*w - 10]', '[10000, 200, w^2 + 11*w - 36]', '[10000, 200, -5*w^2 - 5*w + 60]', '[10000, 200, -15*w^2 + 5*w + 100]', '[10000, 400, 15*w + 20]', '[10000, 400, -10*w^2 + 15*w + 20]', '[10000, 400, 9*w^2 - 26*w - 24]', '[10000, 500, 2*w^2 + 4*w - 36]', '[10000, 500, -w^2 - 12*w + 3]', '[10000, 500, -8*w^2 - 6*w + 34]', '[10000, 1000, 9*w^2 - 7*w - 12]', '[10000, 2000, 7*w^2 + 4*w - 16]', '[10000, 2500, -12*w^2 + 10*w + 92]', '[10000, 2500, 13*w^2 - 28*w - 15]', '[10000, 2500, -2*w + 22]', '[10000, 5000, -9*w^2 - 15*w + 4]', '[10000, 10000, 7*w^2 - 18*w - 24]'], 'label': '3.3.940.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w - 2]', '[2, 2, -w - 1]', '[5, 5, -w^2 + w + 7]', '[5, 5, -w^2 + w + 5]', '[17, 17, -w^2 + 3*w + 1]', '[23, 23, -w^2 + w + 3]', '[27, 3, 3]', '[29, 29, -w^2 + 3*w - 1]', '[37, 37, w^2 + w + 1]', '[41, 41, w^2 - w - 9]', '[43, 43, -3*w^2 + 3*w + 17]', '[47, 47, 2*w^2 - 2*w - 13]', '[47, 47, -2*w + 5]', '[53, 53, 3*w^2 - w - 19]', '[59, 59, 2*w - 1]', '[67, 67, w^2 + w - 5]', '[71, 71, -3*w^2 + w + 21]', '[79, 79, 3*w^2 - w - 23]', '[89, 89, 2*w^2 - 4*w - 7]', '[89, 89, -2*w^2 - 2*w + 5]', '[89, 89, 2*w - 3]', '[97, 97, 2*w^2 - 9]', '[103, 103, -2*w^2 + 2*w + 3]', '[103, 103, -5*w^2 + 5*w + 27]', '[103, 103, -2*w^2 + 6*w + 3]', '[107, 107, w^2 - 3*w - 5]', '[109, 109, -w^2 + w - 1]', '[113, 113, -4*w^2 + 8*w + 9]', '[113, 113, 4*w^2 - 2*w - 29]', '[113, 113, -2*w^2 + 15]', '[127, 127, -w^2 - w + 9]', '[131, 131, 2*w^2 - 2*w - 1]', '[149, 149, 3*w^2 - 3*w - 19]', '[149, 149, -4*w^2 + 4*w + 21]', '[149, 149, -3*w^2 + 5*w + 9]', '[157, 157, -2*w^2 - 2*w + 1]', '[163, 163, 2*w^2 - 2*w - 7]', '[167, 167, 2*w^2 - 4*w - 1]', '[173, 173, 5*w^2 - 13*w - 5]', '[179, 179, -4*w^2 + 6*w + 17]', '[179, 179, 4*w + 5]', '[179, 179, -2*w - 7]', '[181, 181, w^2 - 3*w - 7]', '[191, 191, w^2 - w - 11]', '[197, 197, -2*w^2 - 4*w + 3]', '[199, 199, w^2 - 5*w + 5]', '[199, 199, -4*w^2 + 33]', '[199, 199, w^2 - 3*w - 9]', '[211, 211, w^2 - 3*w + 3]', '[211, 211, -5*w^2 + 9*w + 15]', '[211, 211, w^2 - 5*w - 5]', '[223, 223, w^2 + 7*w + 5]', '[227, 227, 4*w^2 - 6*w - 15]', '[229, 229, -w^2 - w + 13]', '[239, 239, 2*w^2 - 4*w - 9]', '[251, 251, -4*w^2 + 2*w + 23]', '[271, 271, -2*w^2 + 8*w - 7]', '[277, 277, 2*w^2 - 5]', '[281, 281, -8*w^2 + 6*w + 51]', '[289, 17, 3*w^2 + w - 15]', '[331, 331, -5*w^2 + 5*w + 29]', '[337, 337, 3*w^2 - 3*w - 13]', '[343, 7, -7]', '[347, 347, 7*w^2 - 3*w - 51]', '[347, 347, -4*w^2 - 4*w + 11]', '[347, 347, -2*w^2 + 19]', '[349, 349, 2*w^2 - 6*w - 7]', '[353, 353, 2*w^2 + 1]', '[367, 367, 4*w - 1]', '[373, 373, 3*w^2 - 9*w - 1]', '[373, 373, 4*w^2 - 4*w - 27]', '[373, 373, -3*w^2 - 5*w + 1]', '[379, 379, -6*w^2 + 4*w + 43]', '[389, 389, w^2 - 5*w + 3]', '[397, 397, 2*w^2 - 4*w - 11]', '[409, 409, -6*w^2 + 2*w + 43]', '[421, 421, -w^2 + 5*w + 15]', '[431, 431, 8*w^2 - 6*w - 53]', '[439, 439, -9*w^2 + 19*w + 19]', '[443, 443, -3*w^2 - w + 11]', '[449, 449, 4*w^2 - 23]', '[457, 457, 8*w^2 - 4*w - 57]', '[461, 461, w^2 - 5*w - 7]', '[463, 463, -6*w^2 + 12*w + 17]', '[467, 467, -4*w^2 + 8*w + 13]', '[479, 479, 2*w^2 - 6*w + 3]', '[491, 491, 4*w^2 - 6*w - 7]', '[499, 499, 2*w^2 - 8*w + 5]', '[499, 499, -4*w^2 + 2*w + 31]', '[499, 499, 4*w^2 - 4*w - 19]', '[503, 503, -2*w^2 - 2*w + 21]', '[509, 509, -2*w - 9]', '[529, 23, 3*w^2 - w - 13]', '[547, 547, -2*w^2 - 6*w + 1]', '[557, 557, 6*w + 7]', '[557, 557, 6*w^2 - 16*w - 3]', '[557, 557, -5*w^2 + 9*w + 13]', '[563, 563, -8*w^2 + 20*w + 11]', '[569, 569, 4*w^2 - 2*w - 21]', '[571, 571, 2*w^2 + 4*w - 5]', '[577, 577, 3*w^2 - 5*w - 15]', '[577, 577, 6*w + 11]', '[577, 577, -w^2 + 3*w - 5]', '[587, 587, -5*w^2 + w + 37]', '[607, 607, 3*w^2 - 3*w - 7]', '[613, 613, -6*w - 1]', '[617, 617, -w^2 - w - 5]', '[619, 619, -2*w^2 + 8*w + 3]', '[641, 641, -7*w^2 + w + 55]', '[643, 643, -6*w^2 + 2*w + 41]', '[643, 643, 6*w^2 - 4*w - 35]', '[643, 643, 3*w^2 + w - 17]', '[653, 653, -w^2 + 7*w + 7]', '[659, 659, -3*w^2 - w + 3]', '[673, 673, 2*w^2 + 2*w - 11]', '[673, 673, w^2 - 7*w + 13]', '[673, 673, -7*w^2 + 7*w + 37]', '[683, 683, w^2 - 5*w - 13]', '[683, 683, 2*w^2 - 6*w - 9]', '[683, 683, w^2 + w - 15]', '[691, 691, -6*w^2 + 6*w + 31]', '[691, 691, 4*w - 5]', '[691, 691, -4*w^2 + 35]', '[701, 701, 2*w^2 + 4*w + 5]', '[719, 719, -w^2 - 3*w - 7]', '[727, 727, 4*w^2 - 6*w - 11]', '[733, 733, w^2 + 3*w - 7]', '[739, 739, 3*w^2 - w - 11]', '[743, 743, 5*w^2 - 5*w - 33]', '[773, 773, -6*w^2 + 10*w + 23]', '[787, 787, -3*w^2 + 5*w + 1]', '[809, 809, 4*w^2 - 12*w - 1]', '[811, 811, -5*w^2 + 11*w + 5]', '[821, 821, -7*w^2 + 5*w + 41]', '[829, 829, w^2 + 7*w + 1]', '[841, 29, 6*w^2 - 16*w - 9]', '[853, 853, -11*w^2 + 9*w + 65]', '[857, 857, -9*w^2 + 17*w + 25]', '[857, 857, 4*w^2 - 4*w - 17]', '[857, 857, 9*w^2 - 7*w - 59]', '[859, 859, w^2 + 3*w - 13]', '[859, 859, -3*w^2 - w + 25]', '[859, 859, 6*w^2 - 8*w - 29]', '[877, 877, 3*w^2 - w - 9]', '[877, 877, 5*w^2 + 9*w - 7]', '[877, 877, -10*w^2 + 20*w + 27]', '[881, 881, -3*w^2 - w + 5]', '[887, 887, 3*w^2 + w - 7]', '[911, 911, 2*w^2 + 2*w - 13]', '[937, 937, 2*w^2 - 8*w - 1]', '[937, 937, -w^2 + 7*w + 1]', '[937, 937, 2*w^2 - 10*w + 11]', '[953, 953, -6*w^2 + 8*w + 25]', '[953, 953, -5*w^2 + w + 41]', '[953, 953, w^2 + 3*w - 11]', '[977, 977, 4*w^2 + 2*w - 19]', '[983, 983, 3*w^2 + 11*w + 3]', '[991, 991, 2*w - 11]', '[997, 997, 4*w^2 - 27]', '[997, 997, -w^2 - 9*w - 17]', '[997, 997, -4*w - 13]']}
24. label: 3.3.985.1
    {'degree': 3, 'discriminant': 985, 'ideals': ['[1, 1, 1]', '[5, 5, w + 1]', '[5, 5, w - 1]', '[7, 7, -w + 2]', '[8, 2, 2]', '[11, 11, -w^2 + 2*w + 2]', '[17, 17, -w - 3]', '[17, 17, -w^2 + 2*w + 1]', '[17, 17, -w^2 + w + 4]', '[23, 23, -w^2 + 3]', '[25, 5, -w^2 + 2*w + 4]', '[25, 5, w^2 - 6]', '[25, 25, -w + 4]', '[27, 3, -3]', '[29, 29, w^2 - w - 8]', '[29, 29, w^2 - w - 3]', '[29, 29, w^2 - w - 1]', '[31, 31, w^2 - 2]', '[35, 35, -2*w - 3]', '[35, 35, -w^2 + w + 2]', '[37, 37, 2*w - 5]', '[40, 10, 2*w + 2]', '[40, 10, 2*w - 2]', '[43, 43, w^2 - 2*w - 5]', '[47, 47, w^2 - 3*w - 2]', '[49, 7, w^2 + w - 4]', '[49, 49, -w^2 + 2*w + 7]', '[53, 53, w^2 - 2*w - 6]', '[55, 55, -w - 4]', '[55, 55, -2*w + 3]', '[56, 14, -2*w + 4]', '[64, 4, 4]', '[71, 71, w - 5]', '[77, 77, -w^2 + w + 9]', '[79, 79, w^2 - 10]', '[83, 83, -2*w^2 + 3*w + 7]', '[85, 85, -w^2 - 2*w - 2]', '[85, 85, -w^2 - 2*w + 3]', '[85, 85, -2*w^2 + 2*w + 9]', '[85, 85, w^2 - 3*w - 3]', '[85, 85, -w^2 + 2*w - 2]', '[85, 85, -w^2 - 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2]', '[9839, 9839, -3*w^2 - 11]', '[9845, 9845, -5*w^2 + 24*w - 11]', '[9845, 9845, 3*w^2 + w + 11]', '[9847, 9847, w^2 + 11*w - 13]', '[9857, 9857, 3*w^2 - w - 36]', '[9863, 9863, 7*w^2 - 12*w - 46]', '[9869, 9869, -11*w^2 + 21*w + 28]', '[9871, 9871, 7*w^2 + w - 12]', '[9875, 395, 5*w^2 - 50]', '[9875, 1975, -13*w^2 + 10*w + 68]', '[9875, 1975, -13*w^2 + 26*w + 32]', '[9875, 9875, 10*w^2 - 17*w - 42]', '[9877, 9877, -9*w^2 + 10*w + 37]', '[9877, 9877, -4*w^2 - 6*w + 21]', '[9877, 9877, 9*w^2 - 15*w - 41]', '[9883, 9883, -2*w^2 - 5*w - 15]', '[9887, 9887, 5*w^2 - 14*w - 17]', '[9889, 9889, 3*w^2 - 37]', '[9889, 9889, 2*w^2 + 8*w - 33]', '[9889, 9889, 8*w^2 - 15*w - 12]', '[9896, 2474, -2*w^2 - 2*w - 14]', '[9911, 9911, 4*w^2 - 5*w - 40]', '[9911, 9911, -7*w^2 + 46]', '[9911, 9911, -13*w - 19]', '[9917, 9917, 7*w^2 - 10*w - 10]', '[9920, 620, 16*w + 4]', '[9920, 620, 8*w^2 + 16*w - 12]', '[9925, 1985, 8*w^2 - w - 57]', '[9925, 1985, -12*w^2 + 15*w + 77]', '[9925, 1985, 13*w^2 - 16*w - 72]', '[9925, 1985, -17*w^2 + 10*w + 102]', '[9925, 1985, -8*w^2 + 5*w + 63]', '[9925, 1985, 12*w^2 - 19*w - 43]', '[9925, 9925, w^2 + 13*w - 43]', '[9925, 9925, 11*w^2 - 13*w - 49]', '[9925, 9925, 8*w^2 - 3*w - 66]', '[9929, 9929, w^2 - 9*w + 26]', '[9935, 9935, 17*w + 3]', '[9935, 9935, 10*w^2 - 18*w - 27]', '[9935, 9935, 8*w^2 + 17*w - 11]', '[9935, 9935, 5*w^2 - 2*w + 7]', '[9935, 9935, -4*w^2 + 2*w + 41]', '[9935, 9935, 9*w^2 + 8*w - 11]', '[9941, 9941, 7*w^2 - 10*w - 13]', '[9947, 203, 7*w^2 - 7*w - 56]', '[9947, 203, 7*w^2 - 7*w - 21]', '[9947, 203, 7*w^2 - 7*w - 7]', '[9947, 9947, 4*w^2 - w - 42]', '[9947, 9947, -2*w^2 + 5*w - 16]', '[9947, 9947, 19*w^2 - 16*w - 107]', '[9949, 9949, 7*w^2 - 6*w - 22]', '[9953, 9953, -7*w^2 - 9*w + 20]', '[9959, 9959, 7*w^2 - 11*w - 59]', '[9961, 9961, 6*w^2 + 2*w - 35]', '[9961, 9961, 4*w^2 + 4*w - 31]', '[9961, 9961, 7*w^2 - 9*w - 17]', '[9965, 9965, -7*w^2 - 22*w - 10]', '[9965, 9965, -5*w^2 - 12*w + 12]', '[9976, 2494, 4*w^2 + 4*w - 34]', '[9976, 2494, -2*w^2 - 14]', '[9976, 2494, 12*w - 14]', '[9979, 9979, 2*w^2 + 11*w - 12]', '[9979, 9979, 7*w^2 + 3*w - 33]', '[9979, 9979, 5*w^2 + 22*w + 21]', '[9989, 9989, 11*w^2 - 25*w - 15]', '[9989, 9989, -3*w^2 + 20*w - 28]', '[9989, 9989, -15*w^2 + 26*w + 50]', '[9992, 2498, 8*w^2 - 26]'], 'label': '3.3.985.1', 'narrow_class_no': 2, 'primes': ['[5, 5, w + 1]', '[5, 5, w - 1]', '[7, 7, -w + 2]', '[8, 2, 2]', '[11, 11, -w^2 + 2*w + 2]', '[17, 17, -w - 3]', '[17, 17, -w^2 + 2*w + 1]', '[17, 17, -w^2 + w + 4]', '[23, 23, -w^2 + 3]', '[27, 3, -3]', '[29, 29, w^2 - w - 8]', '[29, 29, w^2 - w - 3]', '[29, 29, w^2 - w - 1]', '[31, 31, w^2 - 2]', '[37, 37, 2*w - 5]', '[43, 43, w^2 - 2*w - 5]', '[47, 47, w^2 - 3*w - 2]', '[49, 7, w^2 + w - 4]', '[53, 53, w^2 - 2*w - 6]', '[71, 71, w - 5]', '[79, 79, w^2 - 10]', '[83, 83, -2*w^2 + 3*w + 7]', '[89, 89, 2*w^2 - w - 9]', '[97, 97, 3*w^2 - 4*w - 15]', '[107, 107, w^2 - 2*w - 10]', '[121, 11, w^2 - 5*w + 3]', '[127, 127, 2*w^2 - 3*w - 13]', '[131, 131, 3*w + 4]', '[137, 137, 2*w^2 - 3*w - 12]', '[139, 139, 2*w^2 - 3*w - 6]', '[149, 149, w^2 + w - 9]', '[151, 151, 2*w^2 - 11]', '[157, 157, w^2 + w - 8]', '[163, 163, 2*w^2 + w - 4]', '[173, 173, 3*w - 4]', '[179, 179, -w^2 + 2*w - 3]', '[193, 193, 3*w - 5]', '[197, 197, -w^2 + 3*w - 4]', '[197, 197, w^2 - 3*w - 7]', '[199, 199, 2*w^2 - w - 7]', '[211, 211, w^2 + 2*w - 5]', '[223, 223, 2*w^2 - 3*w - 3]', '[227, 227, w^2 - 2*w - 11]', '[227, 227, 2*w^2 + w - 9]', '[227, 227, 2*w^2 - 5]', '[229, 229, 2*w^2 - 13]', '[233, 233, 4*w - 3]', '[241, 241, 3*w^2 - w - 18]', '[257, 257, 2*w^2 + 2*w - 7]', '[269, 269, w^2 - w - 11]', '[271, 271, 2*w^2 - 2*w - 3]', '[277, 277, 2*w^2 - 4*w - 9]', '[277, 277, 2*w^2 - w - 5]', '[277, 277, w^2 + 2*w - 6]', '[281, 281, w^2 + 4*w - 3]', '[293, 293, 2*w^2 - 3*w - 17]', '[311, 311, w^2 - 12]', '[311, 311, 2*w^2 - 5*w - 6]', '[311, 311, 3*w^2 - 6*w - 10]', '[313, 313, -w^2 + 2*w - 4]', '[337, 337, -w^2 - 2*w - 4]', '[337, 337, w^2 + 2*w - 7]', '[337, 337, w^2 + 2*w - 12]', '[347, 347, -w^2 + 6*w - 6]', '[349, 349, -w - 7]', '[353, 353, 2*w^2 - 19]', '[359, 359, 2*w - 9]', '[383, 383, w^2 + 2*w - 16]', '[383, 383, w^2 + 3*w - 16]', '[383, 383, w^2 + 3*w - 5]', '[389, 389, -3*w^2 + 6*w + 5]', '[397, 397, 3*w^2 - 2*w - 13]', '[397, 397, 2*w^2 - 2*w - 17]', '[397, 397, w^2 + 2*w - 11]', '[401, 401, 3*w - 11]', '[401, 401, w^2 + w - 14]', '[401, 401, w - 8]', '[409, 409, -w^2 - w - 4]', '[409, 409, w^2 - 4*w - 6]', '[409, 409, 3*w^2 - 5*w - 14]', '[421, 421, w^2 + 2*w - 10]', '[433, 433, 4*w^2 - 3*w - 20]', '[439, 439, w^2 - 4*w - 9]', '[443, 443, 3*w^2 - 16]', '[457, 457, w^2 - 4*w - 8]', '[461, 461, 4*w - 7]', '[487, 487, w^2 - 5*w - 13]', '[491, 491, 4*w^2 - 6*w - 19]', '[491, 491, 4*w^2 - 4*w - 19]', '[491, 491, 3*w^2 + w - 8]', '[503, 503, -5*w - 3]', '[509, 509, 2*w^2 + w - 12]', '[523, 523, w^2 - 5*w - 4]', '[523, 523, 2*w^2 - 6*w - 5]', '[523, 523, 2*w^2 - 3*w - 18]', '[529, 23, 3*w^2 - 5*w - 7]', '[541, 541, -w^2 - 2*w - 5]', '[557, 557, 3*w^2 - w - 11]', '[563, 563, 3*w^2 - 5*w - 21]', '[571, 571, 3*w^2 - 17]', '[587, 587, -5*w - 7]', '[599, 599, w^2 + 3*w - 7]', '[607, 607, 3*w^2 - 5*w - 6]', '[613, 613, 4*w^2 - 3*w - 19]', '[617, 617, 2*w^2 + w - 14]', '[631, 631, w^2 - 5*w - 5]', '[631, 631, 4*w^2 - 8*w - 13]', '[631, 631, 2*w^2 + w - 22]', '[641, 641, -w^2 - 5]', '[647, 647, 4*w^2 - w - 17]', '[647, 647, 2*w^2 - 5*w - 9]', '[647, 647, 5*w^2 - 6*w - 23]', '[653, 653, 3*w^2 - 5*w - 5]', '[659, 659, w^2 - 5*w - 12]', '[661, 661, w^2 - 6*w - 3]', '[661, 661, 3*w^2 - 5*w - 4]', '[661, 661, 3*w^2 + w - 6]', '[683, 683, 3*w^2 + w - 5]', '[691, 691, 2*w^2 + 2*w - 21]', '[691, 691, 3*w^2 - 5*w - 17]', '[691, 691, 3*w^2 + 2*w - 12]', '[701, 701, 3*w^2 - 4*w - 8]', '[709, 709, 3*w^2 - 7*w - 9]', '[719, 719, -2*w^2 - w - 3]', '[727, 727, w^2 - 14]', '[733, 733, -3*w - 10]', '[739, 739, 2*w^2 + 3*w - 8]', '[739, 739, 5*w - 6]', '[739, 739, 2*w^2 - w - 19]', '[743, 743, 4*w^2 - 5*w - 16]', '[743, 743, 5*w^2 - 3*w - 25]', '[743, 743, 2*w^2 - 5*w - 10]', '[761, 761, w^2 + 4*w - 6]', '[773, 773, -5*w^2 + 7*w + 25]', '[787, 787, 3*w^2 - 20]', '[797, 797, 3*w^2 + w - 15]', '[809, 809, 4*w^2 - 3*w - 18]', '[821, 821, 2*w^2 - 5*w - 11]', '[821, 821, 2*w^2 + 2*w - 11]', '[821, 821, 3*w^2 - 4*w - 6]', '[827, 827, 5*w - 7]', '[853, 853, -w^2 + w - 6]', '[859, 859, w^2 + 3*w - 12]', '[863, 863, 3*w^2 - 3*w - 8]', '[863, 863, w^2 + 3*w - 11]', '[863, 863, w^2 - 5*w - 9]', '[881, 881, w^2 + 4*w - 18]', '[881, 881, w^2 - 5*w - 17]', '[881, 881, 4*w^2 - 4*w - 17]', '[883, 883, 5*w - 8]', '[883, 883, 3*w^2 - 3*w - 4]', '[883, 883, 4*w^2 - 6*w - 27]', '[887, 887, w^2 - w - 14]', '[887, 887, 3*w^2 - w - 26]', '[887, 887, 2*w^2 - 5*w - 14]', '[911, 911, 2*w^2 + 4*w - 7]', '[919, 919, 3*w^2 - 3*w - 7]', '[929, 929, 3*w^2 - w - 5]', '[941, 941, 5*w^2 - 24]', '[947, 947, 3*w^2 - w - 6]', '[947, 947, 3*w^2 + 2*w - 13]', '[947, 947, 3*w^2 - 5*w - 26]', '[961, 31, 4*w^2 - 5*w - 15]', '[967, 967, -5*w - 13]', '[967, 967, 4*w^2 - 21]', '[967, 967, 3*w^2 - 2*w - 7]', '[971, 971, w^2 + w - 16]']}
25. label: 3.3.993.1
    {'degree': 3, 'discriminant': 993, 'ideals': ['[1, 1, 1]', '[3, 3, -w]', '[3, 3, w - 1]', '[5, 5, -w + 2]', '[7, 7, w + 1]', '[8, 2, 2]', '[9, 3, w^2 - 6]', '[9, 3, w^2 - w - 6]', '[9, 9, w^2 - 7]', '[13, 13, w^2 - w - 4]', '[15, 15, w + 3]', '[15, 15, -w^2 + 4]', '[17, 17, -w^2 + 2*w + 1]', '[21, 21, w^2 - 1]', '[21, 21, w^2 - 2*w - 3]', '[24, 6, -2*w]', '[24, 6, 2*w - 2]', '[25, 5, -w^2 - w + 4]', '[25, 25, 2*w^2 - w - 11]', '[27, 3, 3]', '[27, 9, -w^2 + 3]', '[27, 9, -w^2 + w + 3]', '[27, 27, -w + 4]', '[31, 31, w^2 - w - 1]', '[31, 31, 2*w^2 - w - 14]', '[31, 31, w^2 - 2]', '[35, 35, -w^2 + w + 2]', '[37, 37, -3*w^2 + w + 19]', '[39, 39, -w^2 + 3*w + 1]', '[39, 39, -2*w + 3]', '[40, 10, -2*w + 4]', '[45, 15, w^2 - 9]', '[45, 15, w^2 + 2*w - 3]', '[45, 45, -2*w - 1]', '[49, 7, w^2 - 2*w - 4]', '[49, 49, -2*w^2 + 2*w + 11]', '[51, 51, 2*w + 3]', '[51, 51, -w^2 - w + 5]', '[53, 53, -w - 4]', '[56, 14, 2*w + 2]', '[61, 61, 2*w^2 + w - 7]', '[63, 21, 2*w^2 - 9]', '[63, 21, w^2 - w - 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3*w + 15]', '[9873, 9873, 3*w^2 - 13*w + 22]', '[9877, 9877, 10*w^2 - 24*w + 1]', '[9879, 9879, -5*w^2 - 5*w + 31]', '[9879, 9879, -2*w^2 + 10*w + 21]', '[9885, 9885, 11*w^2 - 25*w - 19]', '[9885, 9885, 14*w - 33]', '[9895, 9895, -2*w^2 + 11*w + 11]', '[9896, 2474, 2*w^2 + 16*w - 2]', '[9897, 9897, 3*w^2 + 7*w - 30]', '[9897, 9897, 7*w^2 - 14*w - 23]', '[9903, 9903, -3*w^2 - 7*w + 28]', '[9903, 9903, -3*w^2 + 10*w + 18]', '[9905, 9905, -3*w^2 + 5*w - 13]', '[9905, 9905, 8*w^2 - 11*w - 40]', '[9905, 9905, w^2 + 15*w - 14]', '[9907, 9907, -13*w^2 + 6*w + 92]', '[9907, 9907, -2*w^2 + 17*w - 20]', '[9907, 9907, -10*w^2 + 9*w + 44]', '[9915, 9915, 6*w^2 - 11*w - 27]', '[9915, 9915, 3*w^2 + 8*w - 38]', '[9920, 620, 8*w^2 - 28*w + 4]', '[9920, 620, 4*w^2 - 16*w - 4]', '[9920, 620, 12*w^2 - 88]', '[9923, 9923, 7*w^2 - 4*w - 23]', '[9925, 1985, 7*w^2 - 3*w - 23]', '[9925, 9925, -11*w^2 + 79]', '[9927, 3309, 5*w^2 - 14*w + 15]', '[9927, 3309, -7*w^2 + 9*w + 6]', '[9927, 9927, -10*w^2 + 24*w + 1]', '[9928, 2482, 12*w^2 - 30*w - 4]', '[9929, 9929, 11*w^2 - 9*w - 52]', '[9929, 9929, 9*w^2 - 12*w - 29]', '[9929, 9929, 5*w^2 - 10*w - 26]', '[9939, 9939, 8*w^2 - 28*w + 23]', '[9939, 9939, -9*w^2 + 20*w + 3]', '[9941, 9941, 5*w^2 + 10*w - 19]', '[9941, 9941, 3*w^2 + 7*w - 29]', '[9941, 9941, 2*w^2 - 31]', '[9943, 9943, -14*w^2 + 3*w + 88]', '[9943, 9943, 4*w^2 - 7*w - 43]', '[9943, 9943, 3*w^2 - 11*w - 44]', '[9945, 3315, 2*w^2 - 17*w + 21]', '[9945, 3315, -4*w^2 + 15*w + 6]', '[9945, 9945, 12*w^2 - w - 71]', '[9953, 9953, -w^2 + 12*w + 26]', '[9960, 2490, 4*w^2 + 6*w - 28]', '[9960, 2490, 2*w^2 - 10*w - 18]', '[9961, 9961, w^2 + 5*w - 31]', '[9965, 9965, 8*w^2 + 17*w + 4]', '[9967, 9967, 8*w^2 - 11*w - 22]', '[9979, 9979, 9*w^2 - 17*w + 1]', '[9981, 3327, -20*w^2 + 3*w + 111]', '[9981, 3327, -17*w^2 + 14*w + 114]', '[9981, 3327, -31*w^2 + 19*w + 192]', '[9981, 3327, -29*w^2 + 12*w + 180]', '[9981, 3327, -7*w^2 + 22*w + 3]', '[9981, 3327, w^2 - 15*w + 18]', '[9981, 9981, -21*w^2 + 7*w + 128]', '[9981, 9981, 9*w^2 - 10*w - 59]', '[9981, 9981, -33*w^2 + 14*w + 211]', '[9987, 9987, 4*w^2 + 16*w + 9]', '[9987, 9987, -7*w^2 - 9*w + 25]', '[9989, 9989, -7*w^2 + 2*w + 58]', '[9992, 2498, 2*w^2 - 10*w - 20]', '[9992, 2498, -10*w - 28]', '[9992, 2498, 10*w^2 - 62]', '[9995, 9995, 10*w^2 - 21*w - 23]', '[9997, 9997, -14*w^2 + 21*w + 52]'], 'label': '3.3.993.1', 'narrow_class_no': 1, 'primes': ['[3, 3, -w]', '[3, 3, w - 1]', '[5, 5, -w + 2]', '[7, 7, w + 1]', '[8, 2, 2]', '[13, 13, w^2 - w - 4]', '[17, 17, -w^2 + 2*w + 1]', '[25, 5, -w^2 - w + 4]', '[31, 31, w^2 - w - 1]', '[31, 31, 2*w^2 - w - 14]', '[31, 31, w^2 - 2]', '[37, 37, -3*w^2 + w + 19]', '[49, 7, w^2 - 2*w - 4]', '[53, 53, -w - 4]', '[61, 61, 2*w^2 + w - 7]', '[71, 71, 2*w^2 - 2*w - 13]', '[73, 73, w - 5]', '[83, 83, w^2 - 3*w - 2]', '[89, 89, w^2 + 2*w - 4]', '[97, 97, -w^2 + 2*w + 7]', '[101, 101, 2*w - 7]', '[101, 101, -4*w^2 + 3*w + 26]', '[101, 101, -3*w^2 + w + 16]', '[113, 113, -w^2 + w - 2]', '[131, 131, -3*w - 1]', '[139, 139, w^2 + 2*w - 5]', '[139, 139, 3*w - 5]', '[139, 139, w^2 - w - 10]', '[149, 149, 3*w^2 - 14]', '[151, 151, 3*w + 5]', '[163, 163, -w^2 - w - 2]', '[163, 163, 2*w^2 - 2*w - 7]', '[163, 163, 2*w^2 - w - 8]', '[167, 167, -3*w^2 + w + 22]', '[169, 13, 2*w^2 + w - 4]', '[173, 173, 2*w^2 - 7]', '[179, 179, -4*w^2 + w + 25]', '[181, 181, 2*w^2 - 2*w - 1]', '[191, 191, 2*w^2 - 3*w - 1]', '[197, 197, 2*w^2 - 3*w - 4]', '[199, 199, -3*w^2 + 3*w + 17]', '[211, 211, -w^2 + 11]', '[223, 223, 2*w^2 - w - 2]', '[223, 223, -2*w^2 + 3*w + 10]', '[223, 223, 2*w^2 + w - 11]', '[229, 229, w^2 + 2*w - 11]', '[233, 233, w^2 + 2*w - 7]', '[239, 239, w^2 - 3*w - 5]', '[241, 241, 3*w - 10]', '[241, 241, 5*w - 4]', '[241, 241, w^2 - 4*w - 2]', '[251, 251, 3*w^2 - 3*w - 19]', '[251, 251, w^2 - w - 11]', '[251, 251, 5*w^2 - 3*w - 28]', '[257, 257, -7*w^2 + 4*w + 41]', '[257, 257, 2*w^2 - 2*w - 5]', '[257, 257, -5*w^2 + w + 29]', '[263, 263, -5*w^2 + 4*w + 29]', '[263, 263, 2*w^2 + w - 16]', '[263, 263, 4*w - 5]', '[269, 269, w^2 + 2*w - 10]', '[277, 277, -3*w^2 + 13]', '[281, 281, 3*w^2 - 19]', '[283, 283, -4*w - 1]', '[283, 283, 2*w^2 - w - 5]', '[283, 283, 3*w^2 - 20]', '[289, 17, 3*w^2 + w - 11]', '[293, 293, 2*w^2 - 2*w - 17]', '[307, 307, 2*w^2 + 3*w - 7]', '[317, 317, 3*w^2 - 4*w - 10]', '[317, 317, 2*w^2 + w - 13]', '[317, 317, w^2 + w - 13]', '[331, 331, -2*w^2 - w + 14]', '[331, 331, -8*w^2 + 3*w + 49]', '[347, 347, -w - 7]', '[349, 349, w^2 - 5*w - 1]', '[353, 353, 3*w^2 - 5*w - 11]', '[373, 373, -4*w^2 + 3*w + 29]', '[379, 379, -w^2 + w - 4]', '[389, 389, w^2 + 3*w - 14]', '[397, 397, 2*w^2 - 5*w - 5]', '[401, 401, 4*w^2 - w - 20]', '[409, 409, -w^2 - 2*w - 4]', '[419, 419, 3*w^2 - w - 13]', '[421, 421, 6*w^2 - 3*w - 34]', '[431, 431, 3*w^2 + 2*w - 7]', '[439, 439, w^2 + 5*w - 5]', '[449, 449, -w^2 - 4]', '[457, 457, 3*w^2 + 3*w - 11]', '[457, 457, 3*w^2 - 25]', '[457, 457, 6*w - 5]', '[461, 461, 4*w^2 - 23]', '[491, 491, w^2 + 3*w - 8]', '[491, 491, w^2 + 6*w - 5]', '[491, 491, -6*w^2 + 3*w + 41]', '[499, 499, -9*w^2 + 5*w + 53]', '[503, 503, -5*w^2 + w + 32]', '[509, 509, w^2 - 2*w - 13]', '[509, 509, 2*w^2 + 2*w - 11]', '[509, 509, 2*w^2 - 4*w - 17]', '[523, 523, -3*w^2 + 4*w + 22]', '[541, 541, 4*w^2 - 5*w - 19]', '[563, 563, 3*w^2 + w - 17]', '[569, 569, 3*w^2 - 4*w - 1]', '[571, 571, -3*w^2 + 4*w + 16]', '[577, 577, 5*w - 7]', '[587, 587, -2*w^2 - w - 2]', '[593, 593, 4*w^2 - 4*w - 17]', '[593, 593, w^2 + 3*w - 11]', '[593, 593, 2*w^2 - 19]', '[599, 599, 4*w^2 - 4*w - 25]', '[607, 607, -3*w^2 - w + 8]', '[607, 607, w^2 - w - 13]', '[607, 607, -4*w^2 + 4*w + 31]', '[613, 613, 3*w^2 - 3*w - 10]', '[619, 619, 7*w^2 - 2*w - 46]', '[631, 631, w^2 + 2*w - 16]', '[641, 641, -6*w^2 + w + 31]', '[641, 641, w^2 - 4*w - 7]', '[641, 641, w^2 - 4*w - 10]', '[643, 643, 3*w^2 - 2*w - 11]', '[647, 647, -5*w - 2]', '[659, 659, -6*w^2 + 5*w + 35]', '[661, 661, -7*w^2 + 2*w + 43]', '[673, 673, w^2 - 4*w - 8]', '[683, 683, 2*w^2 - 4*w - 11]', '[691, 691, -w^2 - w - 5]', '[701, 701, 3*w^2 - 3*w - 2]', '[709, 709, 3*w^2 - 4]', '[727, 727, 4*w^2 + 2*w - 13]', '[733, 733, 5*w^2 - 28]', '[733, 733, 2*w^2 + 3*w - 10]', '[733, 733, 4*w^2 - 17]', '[743, 743, 5*w + 8]', '[769, 769, w^2 + 4*w - 16]', '[773, 773, 3*w^2 + w - 20]', '[797, 797, 3*w^2 - 5]', '[797, 797, 3*w^2 - 8]', '[797, 797, 3*w^2 - 26]', '[827, 827, 3*w^2 - 3*w - 8]', '[839, 839, w^2 + 5*w - 7]', '[857, 857, -6*w - 1]', '[863, 863, -9*w^2 + 4*w + 52]', '[863, 863, w^2 - w - 14]', '[863, 863, -5*w^2 + 5*w + 28]', '[881, 881, -5*w^2 + 5*w + 34]', '[883, 883, 5*w^2 - 5*w - 22]', '[887, 887, 2*w^2 - 5*w - 19]', '[919, 919, 3*w^2 - 3*w - 4]', '[929, 929, 5*w^2 - 3*w - 25]', '[929, 929, 5*w^2 + 2*w - 23]', '[929, 929, 3*w^2 + 4*w - 11]', '[937, 937, 4*w^2 + w - 22]', '[941, 941, 3*w^2 - 5*w - 14]', '[947, 947, -7*w^2 + w + 40]', '[947, 947, 4*w^2 + 2*w - 19]', '[947, 947, 3*w^2 - w - 7]', '[953, 953, 3*w^2 - 3*w - 5]', '[967, 967, -6*w - 11]', '[977, 977, w^2 + 2*w - 17]', '[977, 977, 6*w^2 - 3*w - 32]', '[977, 977, 6*w - 13]', '[983, 983, 4*w^2 - 7*w - 8]']}
26. label: 5.5.14641.1
    {'degree': 5, 'discriminant': 14641, 'ideals': ['[1, 1, 1]', '[11, 11, w^4 + w^3 - 4*w^2 - 3*w + 2]', '[23, 23, -w^4 + 3*w^2 + 1]', '[23, 23, -w^4 + 3*w^2 + w - 2]', '[23, 23, w^4 - w^3 - 3*w^2 + 3*w + 2]', '[23, 23, -w^4 + w^3 + 4*w^2 - 3*w - 1]', '[23, 23, -w^2 + w + 3]', '[32, 2, 2]', '[43, 43, -2*w^4 + w^3 + 6*w^2 - 2*w - 1]', '[43, 43, -w^4 + 2*w^2 + w + 1]', '[43, 43, w^3 + w^2 - 4*w - 2]', '[43, 43, 2*w^4 - w^3 - 7*w^2 + 3*w + 3]', '[43, 43, w^4 - w^3 - 4*w^2 + 4*w + 2]', '[67, 67, 2*w^4 - 7*w^2 + 2]', '[67, 67, w^4 - 2*w^3 - 3*w^2 + 6*w + 2]', '[67, 67, 2*w^4 - 7*w^2 - w + 4]', '[67, 67, w^4 - 2*w^3 - 4*w^2 + 6*w + 2]', '[67, 67, -w^4 + w^3 + 5*w^2 - 3*w - 3]', '[89, 89, w^3 + w^2 - 4*w - 1]', '[89, 89, -2*w^4 + w^3 + 7*w^2 - 3*w - 2]', '[89, 89, -w^4 + w^3 + 4*w^2 - 4*w - 3]', '[89, 89, -w^4 + 2*w^2 + w + 2]', '[89, 89, 2*w^4 - w^3 - 6*w^2 + 2*w + 2]', '[109, 109, -w^3 + 2*w^2 + 3*w - 3]', '[109, 109, w^4 - 4*w^2 - 2*w + 3]', '[109, 109, -2*w^4 + 2*w^3 + 7*w^2 - 4*w - 3]', '[109, 109, 2*w^3 - 5*w - 1]', '[109, 109, -w^4 - w^3 + 5*w^2 + 2*w - 4]', '[121, 11, w^4 + w^3 - 3*w^2 - 3*w - 2]', '[131, 131, w^4 - 3*w^3 - 2*w^2 + 7*w]', '[131, 131, -w^4 + 2*w^3 + 5*w^2 - 7*w - 5]', '[131, 131, 2*w^4 - 2*w^3 - 6*w^2 + 3*w + 2]', '[131, 131, w^4 - 2*w^3 - 3*w^2 + 7*w]', '[131, 131, 2*w^4 + w^3 - 8*w^2 - 3*w + 4]', '[197, 197, 3*w^4 - w^3 - 10*w^2 + w + 5]', '[197, 197, 2*w^4 - 7*w^2 + w + 1]', '[197, 197, -3*w^4 + 2*w^3 + 10*w^2 - 5*w - 5]', '[197, 197, -2*w^4 - w^3 + 9*w^2 + 2*w - 5]', '[197, 197, -3*w^4 + 3*w^3 + 10*w^2 - 6*w - 5]', '[199, 199, w^4 + 2*w^3 - 5*w^2 - 5*w + 3]', '[199, 199, -2*w^4 + w^3 + 7*w^2 - 4*w - 2]', '[199, 199, -w^4 + 2*w^3 + 4*w^2 - 7*w - 3]', '[199, 199, 2*w^4 - 8*w^2 + w + 4]', '[199, 199, 3*w^4 - w^3 - 10*w^2 + 2*w + 4]', '[241, 241, w^4 - 2*w^3 - w^2 + 3*w - 3]', '[241, 241, -w^4 + 3*w^3 + 2*w^2 - 9*w]', '[241, 241, 3*w^4 - 11*w^2 - 2*w + 6]', '[241, 241, -w^4 + 2*w^3 + 5*w^2 - 6*w - 4]', '[241, 241, -2*w^4 + 2*w^3 + 9*w^2 - 5*w - 6]', '[243, 3, -3]', '[253, 253, 2*w^4 - 7*w^2 - w + 5]', '[253, 253, -w^4 + w^3 + 2*w^2 - w + 3]', '[253, 253, w^4 - 2*w^3 - 3*w^2 + 6*w + 3]', '[253, 253, w^4 - w^3 - 5*w^2 + 3*w + 2]', '[253, 253, w^4 - 3*w^2 + w - 2]', '[263, 263, -w^4 + 4*w^2 + w + 1]', '[263, 263, 2*w^4 - w^3 - 8*w^2 + w + 2]', '[263, 263, 3*w^4 - 3*w^3 - 9*w^2 + 7*w + 2]', '[263, 263, -2*w^3 + w^2 + 4*w - 4]', '[263, 263, -3*w^2 + w + 5]', '[307, 307, 2*w^4 - w^3 - 6*w^2 + 3*w - 2]', '[307, 307, w^4 - 2*w^2 - 2*w - 4]', '[307, 307, -3*w^4 + 2*w^3 + 11*w^2 - 3*w - 6]', '[307, 307, -2*w^4 + 2*w^3 + 7*w^2 - 6*w - 6]', '[307, 307, -w^4 + 3*w^3 + 4*w^2 - 7*w - 3]', '[331, 331, -w^4 - 2*w^3 + 3*w^2 + 7*w - 1]', '[331, 331, -w^4 + 3*w^3 + 4*w^2 - 8*w - 4]', '[331, 331, w^4 - w^2 - 4]', '[331, 331, 3*w^4 - 2*w^3 - 9*w^2 + 5*w + 2]', '[331, 331, -3*w^4 + 2*w^3 + 11*w^2 - 6*w - 5]', '[352, 22, 2*w^4 + 2*w^3 - 8*w^2 - 6*w + 4]', '[353, 353, -2*w^4 + w^3 + 9*w^2 - 3*w - 5]', '[353, 353, -2*w^4 - w^3 + 7*w^2 + 4*w - 4]', '[353, 353, -w^4 + 3*w^3 + 3*w^2 - 9*w - 3]', '[353, 353, -3*w^4 + 11*w^2 + w - 7]', '[353, 353, w^4 - w^3 - 6*w^2 + 3*w + 4]', '[373, 373, w^3 + 2*w^2 - 5*w - 3]', '[373, 373, 2*w^4 - 3*w^3 - 6*w^2 + 6*w]', '[373, 373, -w^4 + w^3 + 3*w^2 - 3*w + 3]', '[373, 373, -2*w^4 + 2*w^3 + 8*w^2 - 7*w - 5]', '[373, 373, -w^4 + w^3 + 4*w^2 - 3*w - 6]', '[397, 397, -w^4 - w^3 + 6*w^2 + 3*w - 5]', '[397, 397, 2*w^4 - 2*w^3 - 7*w^2 + 3*w + 3]', '[397, 397, -w^4 + 5*w^2 + 2*w - 5]', '[397, 397, w^4 + 2*w^3 - 5*w^2 - 5*w + 4]', '[397, 397, -w^4 + 3*w^3 + 3*w^2 - 7*w - 2]', '[419, 419, 3*w^3 - w^2 - 8*w]', '[419, 419, 2*w^4 - 3*w^3 - 6*w^2 + 6*w + 1]', '[419, 419, w^4 - 2*w^3 - 5*w^2 + 7*w + 4]', '[419, 419, -2*w^4 - w^3 + 9*w^2 + 3*w - 7]', '[419, 419, -w^4 + 3*w^3 + w^2 - 8*w + 1]', '[439, 439, -w^4 + w^3 + 5*w^2 - 5*w - 5]', '[439, 439, 2*w^4 - 9*w^2 - 2*w + 8]', '[439, 439, -3*w^4 + 2*w^3 + 11*w^2 - 5*w - 3]', '[439, 439, 2*w^4 - 2*w^3 - 8*w^2 + 3*w + 4]', '[439, 439, -w^4 + 3*w^3 + 3*w^2 - 6*w - 3]', '[461, 461, -w^4 + 5*w^2 + 2*w - 6]', '[461, 461, -w^4 + 3*w^2 - w + 3]', '[461, 461, -w^4 - 2*w^3 + 5*w^2 + 5*w - 5]', '[461, 461, -2*w^4 + 7*w^2 + w - 6]', '[461, 461, -w^4 + 3*w^3 + 3*w^2 - 7*w - 3]', '[463, 463, 2*w^4 - 2*w^3 - 8*w^2 + 5*w + 3]', '[463, 463, w^4 + w^3 - 3*w^2 - 2*w - 2]', '[463, 463, 2*w^4 - 7*w^2 - 2*w + 5]', '[463, 463, w^4 - 2*w^3 - 2*w^2 + 6*w + 1]', '[463, 463, -w^3 + 2*w^2 + w - 5]', '[473, 473, -3*w^4 + w^3 + 11*w^2 - 3*w - 5]', '[473, 473, 3*w^4 - 2*w^3 - 9*w^2 + 4*w + 2]', '[473, 473, -2*w^3 - w^2 + 7*w + 2]', '[473, 473, w^4 - w^3 - 4*w^2 + 5*w + 2]', '[473, 473, -w^4 + w^2 + w + 3]', '[529, 23, -w^4 + 4*w^2 + 3*w - 3]', '[529, 23, -3*w^4 + 2*w^3 + 9*w^2 - 3*w - 3]', '[529, 23, -w^4 + w^3 + 3*w^2 - 5*w - 1]', '[529, 23, -w^4 + 3*w^3 + 4*w^2 - 9*w - 2]', '[529, 23, -2*w^4 - w^3 + 9*w^2 + 2*w - 6]', '[529, 23, -3*w^4 + 3*w^3 + 10*w^2 - 6*w - 4]', '[529, 23, -3*w^3 + 8*w + 1]', '[529, 23, -w^3 + 3*w^2 + 3*w - 5]', '[529, 23, -3*w^4 + 11*w^2 - 4]', '[529, 23, -3*w^2 + w + 6]', '[529, 529, -w^4 + 3*w^3 + 4*w^2 - 7*w - 4]', '[529, 529, -3*w^4 + 2*w^3 + 11*w^2 - 3*w - 5]', '[529, 529, -w^4 - 2*w^3 + 5*w^2 + 4*w - 4]', '[529, 529, 2*w^3 - 3*w^2 - 5*w + 4]', '[529, 529, -w^4 - w^3 + 5*w^2 + 5*w - 5]', '[571, 571, w^4 - w^3 - 3*w^2 + 2*w - 3]', '[571, 571, 3*w^4 - 2*w^3 - 10*w^2 + 6*w + 2]', '[571, 571, -2*w^4 + 2*w^3 + 8*w^2 - 7*w - 6]', '[571, 571, 2*w^4 - 5*w^2 - 2*w - 2]', '[571, 571, 3*w^4 - w^3 - 9*w^2 + 2*w + 3]', '[593, 593, 3*w^4 - w^3 - 9*w^2 + w + 3]', '[593, 593, -w^4 + 2*w^3 + 5*w^2 - 7*w - 3]', '[593, 593, -2*w^4 + 2*w^3 + 7*w^2 - 7*w - 4]', '[593, 593, w^4 - w^2 - 2*w - 4]', '[593, 593, 3*w^4 - w^3 - 10*w^2 + 3*w + 2]', '[617, 617, -w^4 - w^3 + 6*w^2 + 4*w - 5]', '[617, 617, 3*w^3 - w^2 - 7*w]', '[617, 617, 2*w^4 - w^3 - 8*w^2 + 6]', '[617, 617, 2*w^4 - 3*w^3 - 7*w^2 + 6*w + 3]', '[617, 617, -w^4 - 2*w^3 + 6*w^2 + 5*w - 6]', '[659, 659, -w^4 + w^3 + 4*w^2 - 5*w - 4]', '[659, 659, 2*w^3 + w^2 - 7*w]', '[659, 659, -3*w^4 + 2*w^3 + 9*w^2 - 4*w - 4]', '[659, 659, 3*w^4 - w^3 - 11*w^2 + 3*w + 3]', '[659, 659, w^4 - w^2 - w - 5]', '[661, 661, -5*w^4 + 2*w^3 + 18*w^2 - 4*w - 9]', '[661, 661, -w^4 + 3*w^3 + 6*w^2 - 9*w - 8]', '[661, 661, w^4 + 2*w^3 - 2*w^2 - 7*w - 2]', '[661, 661, -w^4 + w^3 + 5*w^2 - 2*w - 9]', '[661, 661, -3*w^4 + 2*w^3 + 12*w^2 - 2*w - 8]', '[683, 683, -w^4 + w^3 + 4*w^2 - 5*w - 3]', '[683, 683, 2*w^3 + w^2 - 7*w - 1]', '[683, 683, w^4 - w^2 - w - 4]', '[683, 683, 3*w^4 - 2*w^3 - 9*w^2 + 4*w + 3]', '[683, 683, 3*w^4 - w^3 - 11*w^2 + 3*w + 4]', '[727, 727, -5*w^4 + 3*w^3 + 19*w^2 - 7*w - 9]', '[727, 727, -2*w^4 - 2*w^3 + 7*w^2 + 9*w - 4]', '[727, 727, 3*w^4 + 2*w^3 - 13*w^2 - 6*w + 6]', '[727, 727, w^4 - 2*w^2 + 3*w - 4]', '[727, 727, -2*w^4 + 5*w^3 + 6*w^2 - 14*w - 4]', '[736, 46, -2*w^4 + 6*w^2 + 2]', '[736, 46, -2*w^4 + 6*w^2 + 2*w - 4]', '[736, 46, 2*w^4 - 2*w^3 - 6*w^2 + 6*w + 4]', '[736, 46, -2*w^4 + 2*w^3 + 8*w^2 - 6*w - 2]', '[736, 46, -2*w^2 + 2*w + 6]', '[737, 737, -2*w^4 + 7*w^2 + 4*w + 1]', '[737, 737, 3*w^4 - 3*w^3 - 10*w^2 + 6*w + 2]', '[737, 737, 5*w^4 - w^3 - 17*w^2 + w + 4]', '[737, 737, -2*w^4 - 2*w^3 + 9*w^2 + 9*w - 2]', '[737, 737, 3*w^3 - 7*w - 1]', '[769, 769, -2*w^4 - w^3 + 9*w^2 + 2*w - 7]', '[769, 769, -w^4 + 4*w^2 + 3*w - 4]', '[769, 769, -w^3 + 3*w^2 + 3*w - 4]', '[769, 769, 3*w^4 - 3*w^3 - 10*w^2 + 6*w + 3]', '[769, 769, 3*w^3 - 8*w - 2]', '[857, 857, w^4 - 5*w^3 - 2*w^2 + 14*w - 1]', '[857, 857, 4*w^4 - w^3 - 13*w^2 + 4]', '[857, 857, -2*w^4 + 4*w^3 + 6*w^2 - 10*w - 5]', '[857, 857, 4*w^4 + w^3 - 14*w^2 - 5*w + 6]', '[857, 857, 4*w^4 + w^3 - 16*w^2 - 4*w + 8]', '[859, 859, 3*w^4 - w^3 - 11*w^2 + 5*w + 5]', '[859, 859, -2*w^4 + 5*w^3 + 6*w^2 - 13*w - 1]', '[859, 859, -2*w^4 - 2*w^3 + 5*w^2 + 7*w + 1]', '[859, 859, -w^3 + w^2 + 6*w + 1]', '[859, 859, 4*w^4 - w^3 - 13*w^2 + 3*w + 4]', '[881, 881, 2*w^4 + w^3 - 11*w^2 - 3*w + 11]', '[881, 881, w^4 - 6*w^2 - 3*w + 5]', '[881, 881, -2*w^4 + 5*w^3 + 6*w^2 - 12*w - 1]', '[881, 881, -2*w^4 - 3*w^3 + 9*w^2 + 8*w - 4]', '[881, 881, 3*w^4 + w^3 - 12*w^2 - 3*w + 7]', '[947, 947, 2*w^4 + 3*w^3 - 7*w^2 - 8*w]', '[947, 947, 2*w^4 - 3*w^3 - 6*w^2 + 4*w]', '[947, 947, 2*w^4 + 2*w^3 - 7*w^2 - 8*w + 4]', '[947, 947, -w^4 + 2*w^3 - 7*w + 3]', '[947, 947, -4*w^4 + 5*w^3 + 14*w^2 - 12*w - 5]', '[967, 967, 2*w^4 - w^3 - 9*w^2 + 3*w + 4]', '[967, 967, -2*w^4 - w^3 + 7*w^2 + 4*w - 5]', '[967, 967, w^4 - 2*w^2 + w - 4]', '[967, 967, w^4 - w^3 - 2*w^2 - 3]', '[967, 967, -2*w^4 + 3*w^3 + 6*w^2 - 8*w - 4]', '[979, 979, -4*w^4 + w^3 + 13*w^2 - w - 4]', '[979, 979, -w^3 + w^2 + 6*w]', '[979, 979, -3*w^4 + 2*w^3 + 10*w^2 - 2*w - 2]', '[979, 979, 3*w^4 + w^3 - 12*w^2 - 7*w + 5]', '[979, 979, 3*w^3 - 2*w^2 - 10*w + 1]', '[989, 989, w + 4]', '[989, 989, w^4 - w^3 - 3*w^2 + 2*w + 5]', '[989, 989, w^4 - 4*w^2 - 2]', '[989, 989, w^4 - 2*w^3 - 2*w^2 + 6*w + 2]', '[989, 989, -w^4 - w^3 + 3*w^2 + 2*w + 3]', '[989, 989, w^3 - 3*w^2 - 4*w + 4]', '[989, 989, -w^3 + 3*w - 4]', '[989, 989, -2*w^4 + 2*w^3 + 8*w^2 - 5*w - 2]', '[989, 989, 2*w^4 - 7*w^2 - 2*w + 6]', '[989, 989, -w^3 + 2*w^2 + w - 6]', '[989, 989, 2*w^4 + w^3 - 10*w^2 - 2*w + 9]', '[989, 989, 3*w^4 - 4*w^3 - 10*w^2 + 9*w + 3]', '[989, 989, -w^3 + 2*w^2 + 5*w - 5]', '[989, 989, -2*w^4 + 4*w^3 + 7*w^2 - 10*w - 5]', '[989, 989, -2*w^4 + w^3 + 7*w^2 + w - 5]', '[989, 989, -3*w^4 + 2*w^3 + 10*w^2 - 2*w - 3]', '[989, 989, w^4 + 3*w^3 - 4*w^2 - 8*w]', '[989, 989, w^4 + w^3 - 7*w^2 - 2*w + 6]', '[989, 989, w^4 - 2*w^3 - w^2 + 2*w - 3]', '[989, 989, -w^2 + 6]', '[989, 989, -w^4 - w^3 + 2*w^2 + w + 3]', '[989, 989, 3*w^4 + w^3 - 11*w^2 - 5*w + 6]', '[989, 989, -2*w^4 - 2*w^3 + 8*w^2 + 5*w - 5]', '[989, 989, 3*w^4 - 2*w^3 - 13*w^2 + 5*w + 8]', '[989, 989, -2*w^4 + 4*w^3 + 5*w^2 - 11*w - 1]', '[991, 991, -w^4 + 4*w^3 + 2*w^2 - 12*w - 1]', '[991, 991, w^4 + 3*w^3 - 3*w^2 - 11*w - 1]', '[991, 991, 2*w^3 - 2*w^2 - 5*w + 8]', '[991, 991, -2*w^4 + 3*w^3 + 4*w^2 - 5*w + 3]', '[991, 991, 4*w^4 - 4*w^3 - 11*w^2 + 9*w]', '[1013, 1013, 2*w^4 - 4*w^3 - 7*w^2 + 8*w + 7]', '[1013, 1013, w^4 - 2*w^3 + w^2 + 5*w - 6]', '[1013, 1013, 4*w^3 - 2*w^2 - 9*w + 5]', '[1013, 1013, -5*w^4 + 4*w^3 + 17*w^2 - 8*w - 7]', '[1013, 1013, w^4 + w^3 - 4*w^2 - 7*w + 3]', '[1024, 4, 4]', '[1033, 1033, -w^4 + w^3 + 4*w^2 - 4*w - 7]', '[1033, 1033, -2*w^4 - 2*w^3 + 9*w^2 + 6*w - 7]', '[1033, 1033, -2*w^4 + w^3 + 6*w^2 - 2*w - 6]', '[1033, 1033, -2*w^4 + 10*w^2 + w - 7]', '[1033, 1033, -w^4 + 4*w^3 + 2*w^2 - 10*w - 1]', '[1123, 1123, w^4 + 3*w^3 - 5*w^2 - 7*w + 4]', '[1123, 1123, w^4 + w^3 - 6*w^2 - 5*w + 7]', '[1123, 1123, 3*w^3 - 11*w - 2]', '[1123, 1123, 5*w^4 - 2*w^3 - 18*w^2 + 4*w + 10]', '[1123, 1123, 2*w^4 - 8*w^2 + 3*w + 2]', '[1187, 1187, w^4 - 3*w^3 - w^2 + 7*w + 1]', '[1187, 1187, -w^4 + 2*w^3 + 5*w^2 - 4*w - 8]', '[1187, 1187, 3*w^4 - w^3 - 12*w^2 + w + 4]', '[1187, 1187, -w^4 - 2*w^3 + 5*w^2 + 7*w - 7]', '[1187, 1187, -3*w^4 - w^3 + 10*w^2 + 3*w]', '[1199, 1199, w^4 - 4*w^2 - w - 2]', '[1199, 1199, 3*w^4 - 9*w^2 - 1]', '[1199, 1199, w^4 + 3*w^3 - 3*w^2 - 10*w]', '[1199, 1199, -4*w^4 + 12*w^2 + 3*w]', '[1199, 1199, -3*w^4 + w^3 + 12*w^2 - 3]', '[1231, 1231, -2*w^4 + 4*w^3 + 8*w^2 - 10*w - 7]', '[1231, 1231, -2*w^4 + 4*w^3 + 4*w^2 - 9*w - 1]', '[1231, 1231, -w^4 + 2*w^3 + 6*w^2 - 4*w - 9]', '[1231, 1231, -3*w^4 + 3*w^3 + 10*w^2 - 8*w - 7]', '[1231, 1231, 4*w^4 - w^3 - 16*w^2 + w + 7]', '[1277, 1277, -w^4 - 3*w^3 + 5*w^2 + 7*w - 6]', '[1277, 1277, 2*w^4 - 2*w^3 - 8*w^2 + 6*w + 1]', '[1277, 1277, -4*w^4 + 3*w^3 + 14*w^2 - 5*w - 7]', '[1277, 1277, 2*w^4 - 4*w^3 - 7*w^2 + 9*w + 7]', '[1277, 1277, 2*w^4 - 3*w^3 - 4*w^2 + 8*w]', '[1297, 1297, -w^4 - 2*w^3 + 6*w^2 + 8*w - 7]', '[1297, 1297, -2*w^4 + 4*w^3 + 8*w^2 - 9*w - 7]', '[1297, 1297, 3*w^3 - 4*w^2 - 7*w + 5]', '[1297, 1297, -w^4 - 3*w^3 + 5*w^2 + 6*w - 4]', '[1297, 1297, 4*w^4 - 2*w^3 - 15*w^2 + 2*w + 7]', '[1319, 1319, -4*w^4 + 2*w^3 + 13*w^2 - 3*w - 7]', '[1319, 1319, 3*w^4 - 11*w^2 + w + 2]', '[1319, 1319, -4*w^3 + 2*w^2 + 10*w - 1]', '[1319, 1319, 2*w^4 + 2*w^3 - 10*w^2 - 6*w + 9]', '[1319, 1319, -w^4 + 3*w^3 + 5*w^2 - 9*w - 2]', '[1321, 1321, 2*w^4 - w^3 - 9*w^2 + w + 3]', '[1321, 1321, -3*w^4 + w^3 + 10*w^2 - 4*w - 2]', '[1321, 1321, -w^4 + 2*w^3 + 4*w^2 - 3*w - 7]', '[1321, 1321, w^4 - 2*w^3 - 6*w^2 + 7*w + 5]', '[1321, 1321, 4*w^4 - w^3 - 13*w^2 + w + 5]', '[1331, 11, -2*w^4 + 4*w^3 + 6*w^2 - 11*w - 4]', '[1376, 86, -4*w^4 + 2*w^3 + 12*w^2 - 4*w - 2]', '[1376, 86, -2*w^4 + 4*w^2 + 2*w + 2]', '[1376, 86, 2*w^3 + 2*w^2 - 8*w - 4]', '[1376, 86, 4*w^4 - 2*w^3 - 14*w^2 + 6*w + 6]', '[1376, 86, 2*w^4 - 2*w^3 - 8*w^2 + 8*w + 4]', '[1409, 1409, -3*w^4 + 3*w^3 + 13*w^2 - 8*w - 8]', '[1409, 1409, -2*w^4 - w^3 + 6*w^2 + w + 1]', '[1409, 1409, w^4 - 2*w^3 + 2*w - 5]', '[1409, 1409, 4*w^4 - 14*w^2 - 3*w + 7]', '[1409, 1409, 2*w^4 - 4*w^3 - 5*w^2 + 12*w + 1]', '[1429, 1429, -3*w^4 + 4*w^3 + 11*w^2 - 8*w - 7]', '[1429, 1429, -4*w^3 + w^2 + 9*w - 1]', '[1429, 1429, 3*w^4 - w^3 - 12*w^2 - w + 7]', '[1429, 1429, 3*w^4 - 3*w^3 - 10*w^2 + 5*w + 1]', '[1429, 1429, -w^4 - 3*w^3 + 7*w^2 + 7*w - 6]', '[1441, 1441, 3*w^4 - 2*w^3 - 11*w^2 + 5*w + 1]', '[1441, 1441, 5*w^4 - 3*w^3 - 15*w^2 + 6*w + 1]', '[1441, 1441, -4*w^4 - w^3 + 15*w^2 + 7*w - 1]', '[1441, 1441, 4*w^4 - 3*w^3 - 14*w^2 + 6*w + 2]', '[1441, 1441, -2*w^4 - 2*w^3 + 6*w^2 + 9*w - 1]', '[1451, 1451, w^4 + w^3 - 6*w^2 - 5*w + 8]', '[1451, 1451, -w^4 - 3*w^3 + 5*w^2 + 7*w - 5]', '[1451, 1451, -3*w^4 + 4*w^3 + 11*w^2 - 10*w - 3]', '[1451, 1451, -w^4 - w^3 + 7*w^2 + w - 10]', '[1451, 1451, -2*w^4 + 4*w^3 + 7*w^2 - 9*w - 6]', '[1453, 1453, -2*w^4 - w^3 + 10*w^2 + 4*w - 5]', '[1453, 1453, -2*w^4 + w^3 + 9*w^2 - 10]', '[1453, 1453, -3*w^4 + 12*w^2 - w - 4]', '[1453, 1453, -4*w^4 + 3*w^3 + 13*w^2 - 6*w - 7]', '[1453, 1453, -3*w^3 - w^2 + 9*w]', '[1541, 1541, -4*w^2 + 9]', '[1541, 1541, w^4 - 3*w^2 - 2*w + 6]', '[1541, 1541, 2*w^4 - 6*w^2 + w - 2]', '[1541, 1541, -2*w^4 + 2*w^3 + 9*w^2 - 6*w - 4]', '[1541, 1541, -3*w^3 + 4*w^2 + 9*w - 8]', '[1541, 1541, 2*w^4 - 4*w^3 - 6*w^2 + 13*w + 1]', '[1541, 1541, 5*w^4 - 20*w^2 - w + 12]', '[1541, 1541, 5*w^4 - w^3 - 17*w^2 + 2*w + 9]', '[1541, 1541, -w^4 + w^3 + 2*w^2 - 3*w - 4]', '[1541, 1541, 3*w^4 - 12*w^2 - 4*w + 6]', '[1541, 1541, -3*w^3 + 2*w^2 + 10*w - 8]', '[1541, 1541, -4*w^4 + 4*w^3 + 15*w^2 - 8*w - 10]', '[1541, 1541, 5*w^4 - w^3 - 17*w^2 + 6]', '[1541, 1541, 2*w^4 - 4*w^3 - 8*w^2 + 13*w + 8]', '[1541, 1541, -w^4 + w^3 + 8*w^2 - 2*w - 9]', '[1541, 1541, 3*w^4 + 2*w^3 - 11*w^2 - 5*w + 6]', '[1541, 1541, w^4 - 5*w^2 + w + 9]', '[1541, 1541, -w^3 - 4*w^2 + 5*w + 4]', '[1541, 1541, -4*w - 1]', '[1541, 1541, -3*w^4 + w^3 + 11*w^2 - 4*w - 4]', '[1541, 1541, 4*w^4 - w^3 - 15*w^2 + 3]', '[1541, 1541, -4*w^4 + 2*w^3 + 13*w^2 - 4*w - 5]', '[1541, 1541, 2*w^3 + 2*w^2 - 7*w - 3]', '[1541, 1541, -5*w^3 + w^2 + 15*w]', '[1541, 1541, 3*w^4 - 5*w^3 - 11*w^2 + 13*w + 8]', '[1583, 1583, 2*w^3 + w^2 - 9*w - 2]', '[1583, 1583, 2*w^4 - 5*w^3 - 6*w^2 + 13*w + 2]', '[1583, 1583, -2*w^4 + 11*w^2 - 10]', '[1583, 1583, -3*w^4 + w^3 + 12*w^2 - 5*w - 6]', '[1583, 1583, 2*w^2 + 3*w - 4]', '[1607, 1607, -2*w^4 + 3*w^3 + 9*w^2 - 10*w - 6]', '[1607, 1607, 3*w^3 - w^2 - 10*w - 2]', '[1607, 1607, -w^4 + 2*w^3 + 6*w^2 - 5*w - 3]', '[1607, 1607, -4*w^4 + w^3 + 15*w^2 - w - 11]', '[1607, 1607, -2*w^4 + 3*w^3 + 4*w^2 - 6*w + 5]', '[1627, 1627, -4*w^4 + 2*w^3 + 13*w^2 - 3*w - 6]', '[1627, 1627, -2*w^4 + 2*w^3 + 9*w^2 - 4*w - 4]', '[1627, 1627, 3*w^4 - 12*w^2 - 2*w + 10]', '[1627, 1627, -w^4 - 3*w^3 + 7*w^2 + 8*w - 8]', '[1627, 1627, -3*w^3 + 2*w^2 + 9*w]', '[1693, 1693, 2*w^4 + 3*w^3 - 9*w^2 - 9*w + 7]', '[1693, 1693, 3*w^4 - 14*w^2 - w + 9]', '[1693, 1693, -w^4 + w^3 + 6*w^2 - 8]', '[1693, 1693, 2*w^4 - 3*w^3 - 6*w^2 + 4*w + 1]', '[1693, 1693, -2*w^4 + 5*w^3 + 5*w^2 - 12*w - 2]', '[1759, 1759, -w^4 + 4*w^3 + 2*w^2 - 9*w - 2]', '[1759, 1759, -3*w^4 + 11*w^2 + w - 9]', '[1759, 1759, 2*w^4 - 11*w^2 - w + 11]', '[1759, 1759, w^4 - 3*w^3 - 3*w^2 + 9*w + 5]', '[1759, 1759, 3*w^4 + 2*w^3 - 13*w^2 - 6*w + 7]', '[1783, 1783, 2*w^4 - 2*w^3 - 9*w^2 + 7*w + 3]', '[1783, 1783, -w^4 + w^2 + 3*w + 6]', '[1783, 1783, 3*w^4 - w^3 - 9*w^2 + 3*w - 2]', '[1783, 1783, -3*w^4 + 3*w^3 + 10*w^2 - 9*w - 7]', '[1783, 1783, -3*w^4 + 9*w^2 + 2*w - 5]', '[1847, 1847, 3*w^4 - w^3 - 13*w^2 + w + 6]', '[1847, 1847, -2*w^4 + 3*w^3 + 9*w^2 - 10*w - 5]', '[1847, 1847, w^4 - 2*w^3 - 5*w^2 + 3*w + 8]', '[1847, 1847, -3*w^4 + 4*w^3 + 9*w^2 - 11*w - 4]', '[1847, 1847, -3*w^4 + 2*w^3 + 13*w^2 - 6*w - 7]', '[1849, 43, -w^4 + 4*w^3 + 3*w^2 - 9*w - 2]', '[1849, 43, 2*w^4 - w^3 - 9*w^2 + 2*w + 3]', '[1849, 43, 2*w^4 + w^3 - 8*w^2 - 4*w + 8]', '[1849, 43, w^4 - 3*w^3 - 2*w^2 + 8*w + 3]', '[1849, 43, w^4 + 2*w^3 - 7*w^2 - 6*w + 7]', '[1849, 43, -w^4 + 2*w^3 + 2*w^2 - 3*w + 4]', '[1849, 43, -w^3 - w^2 + w + 6]', '[1849, 43, -3*w^4 + 3*w^3 + 11*w^2 - 5*w - 6]', '[1849, 43, 2*w^4 - 9*w^2 - 3*w + 7]', '[1849, 43, w^4 + 3*w^3 - 6*w^2 - 7*w + 5]', '[1849, 1849, w^4 - w^3 - 2*w^2 - 4]', '[1849, 1849, 2*w^4 - 3*w^3 - 6*w^2 + 8*w + 5]', '[1849, 1849, 2*w^4 - w^3 - 9*w^2 + 3*w + 3]', '[1849, 1849, 2*w^4 + w^3 - 7*w^2 - 4*w + 6]', '[1849, 1849, w^4 - 2*w^2 + w - 5]', '[1871, 1871, w^4 - 4*w^3 - 5*w^2 + 11*w + 4]', '[1871, 1871, -3*w^4 + 3*w^3 + 11*w^2 - 10*w - 6]', '[1871, 1871, w^4 - 7*w^2 - w + 6]', '[1871, 1871, -3*w^4 - w^3 + 13*w^2 + 3*w - 10]', '[1871, 1871, w^3 - 4*w - 5]', '[1913, 1913, -w^4 - 2*w^3 + 2*w^2 + 8*w + 1]', '[1913, 1913, 4*w^4 - 3*w^3 - 12*w^2 + 7*w + 3]', '[1913, 1913, -2*w^4 - w^3 + 6*w^2 + 5*w - 4]', '[1913, 1913, -w^4 + w^3 + 5*w^2 - 6*w - 4]', '[1913, 1913, 3*w^4 - 2*w^3 - 12*w^2 + 6*w + 4]', '[1979, 1979, w^4 + w^3 - 3*w^2 - w - 3]', '[1979, 1979, -2*w^4 + 2*w^3 + 9*w^2 - 5*w - 4]', '[1979, 1979, w^4 - 2*w^3 - w^2 + 3*w - 5]', '[1979, 1979, -w^4 + 3*w^3 + 2*w^2 - 9*w - 2]', '[1979, 1979, -3*w^4 + 11*w^2 + 2*w - 8]', '[2003, 2003, 3*w^4 - 3*w^3 - 12*w^2 + 5*w + 7]', '[2003, 2003, 3*w^4 - 8*w^2 - 2*w - 2]', '[2003, 2003, 3*w^4 - 13*w^2 - 3*w + 10]', '[2003, 2003, -2*w^4 + 2*w^3 + 9*w^2 - 8*w - 8]', '[2003, 2003, 4*w^4 - 3*w^3 - 14*w^2 + 9*w + 4]', '[2047, 2047, 2*w^3 - 9*w]', '[2047, 2047, 3*w^4 - 12*w^2 + 2*w + 6]', '[2047, 2047, 4*w^4 - w^3 - 15*w^2 + 3*w + 7]', '[2047, 2047, 2*w^4 - 2*w^3 - 3*w^2 + 4*w - 4]', '[2047, 2047, -3*w^3 - 2*w^2 + 9*w + 4]', '[2047, 2047, w^4 - w^3 - 4*w^2 + 6*w + 2]', '[2047, 2047, -3*w^4 + 4*w^3 + 11*w^2 - 11*w - 10]', '[2047, 2047, w^4 - 5*w^2 - 3*w + 7]', '[2047, 2047, -3*w^4 + w^3 + 9*w^2 + w + 2]', '[2047, 2047, w^4 - 7*w^2 + 2*w + 3]', '[2047, 2047, 3*w^4 + w^3 - 10*w^2 - 3*w + 7]', '[2047, 2047, -5*w^4 + 3*w^3 + 17*w^2 - 6*w - 7]', '[2047, 2047, -2*w^4 + 2*w^3 + 5*w^2 - 7*w + 5]', '[2047, 2047, 3*w^4 - 3*w^3 - 10*w^2 + 5*w + 2]', '[2047, 2047, -w^4 + 4*w^3 + 3*w^2 - 10*w - 4]', '[2047, 2047, w^4 + w^3 - 3*w^2 - 6*w + 5]', '[2047, 2047, -w^4 - w^3 + 7*w^2 + 3*w - 5]', '[2047, 2047, -2*w^4 + 9*w^2 - 2*w - 10]', '[2047, 2047, 3*w^3 + w^2 - 10*w - 2]', '[2047, 2047, -w^4 - 2*w^3 + 2*w^2 + 6*w + 6]', '[2047, 2047, -2*w^4 + 2*w^3 + 4*w^2 - 5*w - 2]', '[2047, 2047, -2*w^4 - 2*w^3 + 9*w^2 + 5*w - 8]', '[2047, 2047, -4*w^4 + 3*w^3 + 12*w^2 - 6*w - 3]', '[2047, 2047, w^4 - w - 5]', '[2047, 2047, -4*w^4 + 3*w^3 + 14*w^2 - 7*w - 2]', '[2069, 2069, 4*w^2 - w - 8]', '[2069, 2069, -4*w^4 + 15*w^2 - 6]', '[2069, 2069, -w^4 + w^3 + 3*w^2 - w - 6]', '[2069, 2069, -4*w^4 + 3*w^3 + 12*w^2 - 5*w - 4]', '[2069, 2069, -w^4 + 5*w^2 - 9]', '[2089, 2089, w^4 - w^3 - 3*w^2 + 2*w - 4]', '[2089, 2089, w^3 - 3*w - 5]', '[2089, 2089, -w^2 - 3]', '[2089, 2089, -w^4 + 4*w^2 - 7]', '[2089, 2089, w - 5]', '[2111, 2111, -w^4 + 5*w^2 + 3*w - 6]', '[2111, 2111, w^4 - 4*w^3 - 3*w^2 + 10*w + 3]', '[2111, 2111, 3*w^4 - 3*w^3 - 10*w^2 + 5*w + 3]', '[2111, 2111, 2*w^4 + 2*w^3 - 9*w^2 - 5*w + 7]', '[2111, 2111, -w^4 - w^3 + 7*w^2 + 3*w - 6]', '[2113, 2113, -2*w^3 + 4*w^2 + 5*w - 6]', '[2113, 2113, 4*w^4 - 3*w^3 - 14*w^2 + 5*w + 6]', '[2113, 2113, -2*w^4 - 2*w^3 + 9*w^2 + 4*w - 6]', '[2113, 2113, w^4 + w^3 - 5*w^2 - 6*w + 5]', '[2113, 2113, w^4 - 4*w^3 - 4*w^2 + 10*w + 4]', '[2144, 134, 4*w^4 - 14*w^2 + 4]', '[2144, 134, 2*w^4 - 4*w^3 - 6*w^2 + 12*w + 4]', '[2144, 134, 4*w^4 - 14*w^2 - 2*w + 8]', '[2144, 134, 2*w^4 - 4*w^3 - 8*w^2 + 12*w + 4]', '[2144, 134, -2*w^4 + 2*w^3 + 10*w^2 - 6*w - 6]', '[2167, 2167, -2*w^4 - w^3 + 7*w^2 + 8*w + 1]', '[2167, 2167, 2*w^4 - 2*w^3 - 6*w^2 + 8*w + 3]', '[2167, 2167, -w^4 - 3*w^3 + 7*w^2 + 11*w - 3]', '[2167, 2167, 3*w^4 + 2*w^3 - 12*w^2 - 8*w]', '[2167, 2167, 3*w^3 + w^2 - 11*w - 2]', '[2179, 2179, -5*w^4 - w^3 + 18*w^2 + 4*w - 10]', '[2179, 2179, 4*w^4 - 3*w^3 - 11*w^2 + 3*w - 1]', '[2179, 2179, -3*w^4 + 6*w^3 + 10*w^2 - 17*w - 7]', '[2179, 2179, -w^4 + 4*w^3 + 3*w^2 - 7*w - 6]', '[2179, 2179, -6*w^4 + 5*w^3 + 22*w^2 - 13*w - 9]', '[2189, 2189, -w^4 - 2*w^3 + 5*w^2 + 10*w]', '[2189, 2189, -2*w^4 + 3*w^3 + 4*w^2 - 9*w]', '[2189, 2189, -6*w^4 + 2*w^3 + 20*w^2 - 2*w - 5]', '[2189, 2189, -4*w^4 + 15*w^2 + 3*w - 1]', '[2189, 2189, -2*w^3 + 2*w^2 + 7*w + 1]', '[2221, 2221, 4*w^4 - 2*w^3 - 15*w^2 + 6*w + 6]', '[2221, 2221, 4*w^4 - 3*w^3 - 15*w^2 + 8*w + 5]', '[2221, 2221, -w^4 + 6*w^2 - 3*w - 8]', '[2221, 2221, w^4 + 2*w^3 - 2*w^2 - 8*w]', '[2221, 2221, -w^4 + w^3 + 5*w^2 - 6*w - 5]', '[2243, 2243, -w^4 + 3*w^3 + 2*w^2 - 10*w - 2]', '[2243, 2243, -4*w^4 + w^3 + 14*w^2 - 9]', '[2243, 2243, w^4 - 2*w^3 + 3*w - 7]', '[2243, 2243, -2*w^4 + 3*w^3 + 9*w^2 - 8*w - 4]', '[2243, 2243, 2*w^4 + w^3 - 7*w^2 - w - 1]', '[2267, 2267, 2*w^4 - 4*w^2 - 2*w - 3]', '[2267, 2267, -2*w^3 - 2*w^2 + 8*w + 3]', '[2267, 2267, -4*w^4 + 2*w^3 + 12*w^2 - 4*w - 3]', '[2267, 2267, -2*w^4 + 2*w^3 + 8*w^2 - 8*w - 5]', '[2267, 2267, -4*w^4 + 2*w^3 + 14*w^2 - 6*w - 5]', '[2287, 2287, -3*w^4 + 10*w^2 + 3*w - 6]', '[2287, 2287, -3*w^4 + 3*w^3 + 12*w^2 - 8*w - 5]', '[2287, 2287, -2*w^4 + 3*w^3 + 5*w^2 - 9*w - 2]', '[2287, 2287, -w^3 + 3*w^2 - 7]', '[2287, 2287, 2*w^4 + w^3 - 6*w^2 - 2*w - 2]', '[2309, 2309, -3*w^3 + 4*w^2 + 8*w - 6]', '[2309, 2309, 4*w^4 - 3*w^3 - 15*w^2 + 5*w + 8]', '[2309, 2309, -w^4 + 4*w^3 + 4*w^2 - 9*w - 4]', '[2309, 2309, -2*w^4 - w^3 + 9*w^2 + 6*w - 7]', '[2309, 2309, w^4 + 3*w^3 - 6*w^2 - 6*w + 5]', '[2311, 2311, -4*w^4 + 2*w^3 + 13*w^2 - 6*w - 2]', '[2311, 2311, w^4 - 2*w^3 - 6*w^2 + 8*w + 4]', '[2311, 2311, -3*w^4 + 3*w^3 + 11*w^2 - 10*w - 7]', '[2311, 2311, -4*w^4 + w^3 + 12*w^2 - w - 4]', '[2311, 2311, 2*w^4 - 4*w^2 - 3*w - 4]', '[2333, 2333, -2*w^3 + 3*w^2 + 3*w - 7]', '[2333, 2333, -3*w^4 + 3*w^3 + 12*w^2 - 7*w - 5]', '[2333, 2333, w^4 + 2*w^3 - 3*w^2 - 4*w - 3]', '[2333, 2333, 3*w^4 - 11*w^2 - 3*w + 8]', '[2333, 2333, -w^4 + 3*w^3 + w^2 - 9*w]', '[2377, 2377, -3*w^4 - w^3 + 10*w^2 + 6*w - 5]', '[2377, 2377, -4*w^3 + 11*w + 2]', '[2377, 2377, -4*w^4 + 3*w^3 + 16*w^2 - 8*w - 8]', '[2377, 2377, -3*w^4 + 4*w^3 + 8*w^2 - 11*w - 2]', '[2377, 2377, 4*w^4 - 4*w^3 - 13*w^2 + 8*w + 4]', '[2399, 2399, -w^4 - w^3 + 7*w^2 + 4*w - 7]', '[2399, 2399, -4*w^3 + w^2 + 10*w]', '[2399, 2399, 2*w^4 - w^3 - 8*w^2 - w + 6]', '[2399, 2399, 3*w^4 - 4*w^3 - 10*w^2 + 8*w + 4]', '[2399, 2399, -2*w^4 - 2*w^3 + 10*w^2 + 5*w - 8]', '[2441, 2441, 3*w^4 + w^3 - 10*w^2 - 4*w + 6]', '[2441, 2441, -3*w^4 + w^3 + 13*w^2 - 2*w - 6]', '[2441, 2441, -3*w^4 + 4*w^3 + 10*w^2 - 11*w - 7]', '[2441, 2441, 2*w^4 - w^3 - 5*w^2 - w - 3]', '[2441, 2441, -2*w^4 + w^3 + 10*w^2 - 4*w - 5]', '[2507, 2507, 2*w^3 - 3*w^2 - w + 5]', '[2507, 2507, w^4 - 4*w^3 - 3*w^2 + 9*w + 3]', '[2507, 2507, 3*w^4 + w^3 - 14*w^2 - 4*w + 9]', '[2507, 2507, 2*w^4 - 5*w^3 - 5*w^2 + 11*w + 2]', '[2507, 2507, -w^4 + 3*w^3 - 6*w + 7]', '[2507, 2507, 3*w^3 + 2*w^2 - 10*w - 5]', '[2507, 2507, -2*w^4 + w^3 + 3*w^2 - w + 3]', '[2507, 2507, -4*w^4 + w^3 + 15*w^2 - 4*w - 8]', '[2507, 2507, 3*w^4 - 5*w^3 - 7*w^2 + 13*w]', '[2507, 2507, -2*w^4 + w^3 + 10*w^2 - 10]', '[2507, 2507, -w^4 - 2*w^3 + 7*w^2 + 6*w - 6]', '[2507, 2507, -5*w^4 + 3*w^3 + 16*w^2 - 6*w - 4]', '[2507, 2507, w^4 + 2*w^3 - 4*w^2 - 3*w - 2]', '[2507, 2507, -2*w^4 + 3*w^3 + 9*w^2 - 7*w - 4]', '[2507, 2507, -w^4 - 4*w^3 + 6*w^2 + 11*w - 6]', '[2507, 2507, 2*w^4 - 3*w^3 - 7*w^2 + 4*w + 3]', '[2507, 2507, -w^4 + 2*w^3 + 4*w^2 - 9*w - 1]', '[2507, 2507, -4*w^4 + w^3 + 15*w^2 - 11]', '[2507, 2507, -5*w^4 + 3*w^3 + 20*w^2 - 7*w - 11]', '[2507, 2507, w^4 + 3*w^3 - 6*w^2 - 7*w + 6]', '[2507, 2507, 3*w^4 - 3*w^3 - 11*w^2 + 5*w + 5]', '[2507, 2507, -2*w^4 + 9*w^2 + 3*w - 8]', '[2507, 2507, 3*w^4 + 2*w^3 - 11*w^2 - 9*w + 6]', '[2507, 2507, w^4 + 2*w^3 - w^2 - 4*w - 5]', '[2507, 2507, 3*w^3 - 2*w^2 - 10*w]', '[2531, 2531, -3*w^4 + 2*w^3 + 13*w^2 - 5*w - 7]', '[2531, 2531, -3*w^4 - w^3 + 11*w^2 + 5*w - 7]', '[2531, 2531, w^4 + w^3 - 2*w^2 - w - 4]', '[2531, 2531, -2*w^4 + 4*w^3 + 5*w^2 - 11*w - 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10*w]', '[2783, 253, 4*w^4 - 3*w^3 - 12*w^2 + 6*w + 5]', '[2783, 253, 4*w^4 - w^3 - 15*w^2 + 3*w + 5]', '[2783, 253, w^4 - w^3 - 4*w^2 + 6*w + 4]', '[2837, 2837, 2*w^4 - 4*w^2 - 2*w - 5]', '[2837, 2837, 4*w^4 - 2*w^3 - 14*w^2 + 6*w + 3]', '[2837, 2837, 2*w^3 + 2*w^2 - 8*w - 1]', '[2837, 2837, -2*w^4 + 2*w^3 + 8*w^2 - 8*w - 7]', '[2837, 2837, -4*w^4 + 2*w^3 + 12*w^2 - 4*w - 5]', '[2848, 178, 2*w^3 + 2*w^2 - 8*w - 2]', '[2848, 178, -4*w^4 + 2*w^3 + 14*w^2 - 6*w - 4]', '[2848, 178, -2*w^4 + 2*w^3 + 8*w^2 - 8*w - 6]', '[2848, 178, -2*w^4 + 4*w^2 + 2*w + 4]', '[2848, 178, 4*w^4 - 2*w^3 - 12*w^2 + 4*w + 4]', '[2861, 2861, -3*w^4 + 3*w^3 + 11*w^2 - 3*w - 6]', '[2861, 2861, 5*w^4 - w^3 - 20*w^2 + 3*w + 8]', '[2861, 2861, -4*w^4 + 4*w^3 + 14*w^2 - 11*w - 10]', '[2861, 2861, -w^4 - 4*w^3 + 3*w^2 + 13*w - 3]', '[2861, 2861, -2*w^4 + 11*w^2 + 3*w - 11]', '[2881, 2881, w^3 - w + 5]', '[2881, 2881, w^3 - 3*w^2 - 5*w + 11]', '[2881, 2881, 3*w^4 - 2*w^3 - 10*w^2 + w - 1]', '[2881, 2881, w^4 + w^3 - 8*w^2 - 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7]', '[3169, 3169, -2*w^4 + 2*w^3 + 5*w^2 - 4*w - 6]', '[3169, 3169, 3*w^4 - 13*w^2 + 3*w + 7]', '[3169, 3169, w^3 + 2*w^2 - 3*w - 10]', '[3169, 3169, w^4 - 4*w^2 + 2*w + 8]', '[3191, 3191, -5*w^4 + 4*w^3 + 16*w^2 - 8*w - 6]', '[3191, 3191, -4*w^4 + 3*w^3 + 13*w^2 - 10*w - 2]', '[3191, 3191, -4*w^4 - w^3 + 16*w^2 + 3*w - 11]', '[3191, 3191, w^4 - 5*w^3 - 3*w^2 + 14*w + 4]', '[3191, 3191, 5*w^4 - w^3 - 16*w^2 + 2*w + 6]', '[3257, 3257, 4*w^4 - 2*w^3 - 14*w^2 + 5]', '[3257, 3257, w^4 + w^3 - 8*w^2 - 2*w + 8]', '[3257, 3257, 2*w^3 - 4*w^2 - 8*w + 9]', '[3257, 3257, -4*w^4 + 6*w^3 + 14*w^2 - 14*w - 9]', '[3257, 3257, -5*w^4 + 5*w^3 + 19*w^2 - 13*w - 9]', '[3299, 3299, 4*w^4 - 5*w^3 - 13*w^2 + 11*w + 4]', '[3299, 3299, 4*w^4 - 4*w^3 - 10*w^2 + 8*w + 1]', '[3299, 3299, 4*w^4 - 3*w^3 - 11*w^2 + 5*w + 5]', '[3299, 3299, 2*w^4 + 2*w^3 - 10*w^2 - 3*w + 9]', '[3299, 3299, 5*w^4 - 4*w^3 - 18*w^2 + 8*w + 7]', '[3301, 3301, -4*w^4 + 2*w^3 + 17*w^2 - 3*w - 9]', '[3301, 3301, -4*w^4 + 18*w^2 - w - 14]', '[3301, 3301, -2*w^4 + w^3 + 6*w^2 + 3*w - 4]', '[3301, 3301, -5*w^4 + 2*w^3 + 18*w^2 - 5*w - 7]', '[3301, 3301, -w^4 + 3*w^3 + 5*w^2 - 5*w - 8]', '[3323, 3323, 2*w^4 - 3*w^3 - 6*w^2 + 11*w + 4]', '[3323, 3323, 5*w^4 - 2*w^3 - 16*w^2 + 2*w + 8]', '[3323, 3323, -2*w^4 - 3*w^3 + 8*w^2 + 6*w - 6]', '[3323, 3323, 4*w^4 - 14*w^2 + w + 2]', '[3323, 3323, -2*w^4 + 4*w^3 + 9*w^2 - 12*w - 4]', '[3343, 3343, -2*w^4 - w^3 + 4*w^2 + 5*w + 6]', '[3343, 3343, -5*w^4 + 18*w^2 + w - 5]', '[3343, 3343, 6*w^4 - 2*w^3 - 21*w^2 + 4*w + 7]', '[3343, 3343, 4*w^4 - 3*w^3 - 11*w^2 + 4*w + 4]', '[3343, 3343, -2*w^4 + 2*w^3 + 6*w^2 - 2*w + 3]', '[3377, 3377, -2*w^4 - 5*w^3 + 11*w^2 + 17*w - 7]', '[3377, 3377, -3*w^4 + w^3 + 9*w^2 - 3*w + 3]', '[3377, 3377, 3*w^4 + 3*w^3 - 9*w^2 - 12*w - 1]', '[3377, 3377, 2*w^4 - 3*w^3 - 9*w^2 + 6*w + 3]', '[3377, 3377, -6*w^4 + 21*w^2 + w - 8]', '[3389, 3389, w^4 + w^3 - 3*w^2 - 8*w + 1]', '[3389, 3389, -6*w^4 + 5*w^3 + 20*w^2 - 11*w - 8]', '[3389, 3389, -w^4 - 4*w^3 + 2*w^2 + 12*w + 2]', '[3389, 3389, 4*w^4 + w^3 - 16*w^2 - 2*w + 6]', '[3389, 3389, -2*w^4 + 5*w^3 + 7*w^2 - 13*w - 7]', '[3433, 3433, 4*w^4 - 6*w^3 - 11*w^2 + 15*w + 3]', '[3433, 3433, 4*w^4 - 3*w^3 - 11*w^2 + 6*w + 4]', '[3433, 3433, -5*w^4 + 2*w^3 + 21*w^2 - 5*w - 12]', '[3433, 3433, -5*w^4 + 6*w^3 + 17*w^2 - 14*w - 7]', '[3433, 3433, 4*w^4 - 3*w^3 - 10*w^2 + 6*w + 1]', '[3488, 218, -2*w^3 + 4*w^2 + 6*w - 6]', '[3488, 218, 2*w^4 - 8*w^2 - 4*w + 6]', '[3488, 218, -4*w^4 + 4*w^3 + 14*w^2 - 8*w - 6]', '[3488, 218, 4*w^3 - 10*w - 2]', '[3488, 218, -2*w^4 - 2*w^3 + 10*w^2 + 4*w - 8]', '[3499, 3499, -3*w^4 - w^3 + 11*w^2 - 3]', '[3499, 3499, -5*w^3 + 3*w^2 + 13*w - 7]', '[3499, 3499, -3*w^4 + w^3 + 15*w^2 - w - 13]', '[3499, 3499, -6*w^4 + 2*w^3 + 21*w^2 - 2*w - 10]', '[3499, 3499, 4*w^4 + 2*w^3 - 17*w^2 - 7*w + 10]', '[3541, 3541, 4*w^4 - w^3 - 13*w^2 + 4*w + 3]', '[3541, 3541, 2*w^4 - 5*w^3 - 8*w^2 + 14*w + 4]', '[3541, 3541, 2*w^4 - 3*w^3 - 10*w^2 + 10*w + 8]', '[3541, 3541, 4*w^4 + w^3 - 15*w^2 - 2*w + 5]', '[3541, 3541, -2*w^4 + 3*w^3 + 10*w^2 - 7*w - 6]', '[3607, 3607, -2*w^2 + 5*w + 4]', '[3607, 3607, -2*w^4 + 5*w^3 + 8*w^2 - 13*w - 7]', '[3607, 3607, -2*w^4 + 3*w^2 + 6]', '[3607, 3607, -3*w^4 + 3*w^3 + 7*w^2 - 9*w - 1]', '[3607, 3607, 3*w^4 - 9*w^2 - 5*w + 5]', '[3631, 3631, 4*w^4 - 5*w^3 - 11*w^2 + 12*w + 4]', '[3631, 3631, 3*w^4 - 2*w^3 - 12*w^2 + 8*w + 9]', '[3631, 3631, 5*w^4 - 3*w^3 - 17*w^2 + 8*w + 4]', '[3631, 3631, -4*w^4 + 2*w^3 + 11*w^2 - 4*w - 3]', '[3631, 3631, -5*w^4 + 2*w^3 + 20*w^2 - 5*w - 9]', '[3641, 3641, 6*w^4 - 2*w^3 - 21*w^2 - w + 3]', '[3641, 3641, 6*w^4 - w^3 - 21*w^2 - 4*w + 5]', '[3641, 3641, w^4 - 3*w^3 - w^2 + 12*w - 1]', '[3641, 3641, -5*w^4 + 2*w^3 + 19*w^2 - 2*w - 6]', '[3641, 3641, -2*w^4 + 4*w^3 + 5*w^2 - 12*w - 2]', '[3673, 3673, -w^4 + 2*w^3 + 6*w^2 - 6*w - 1]', '[3673, 3673, -4*w^4 - w^3 + 16*w^2 + 2*w - 5]', '[3673, 3673, 2*w^4 - 2*w^3 - 4*w^2 + 3*w - 7]', '[3673, 3673, w^4 - 4*w^3 + w^2 + 8*w - 8]', '[3673, 3673, 4*w^4 - w^3 - 14*w^2 + w + 11]', '[3697, 3697, 2*w^3 + 4*w^2 - 8*w - 7]', '[3697, 3697, 2*w^4 - 4*w^3 - 8*w^2 + 14*w + 5]', '[3697, 3697, 4*w^4 - 2*w^3 - 14*w^2 + 8*w + 5]', '[3697, 3697, 2*w^3 + w^2 - 6*w + 4]', '[3697, 3697, 6*w^4 - 2*w^3 - 20*w^2 + 4*w + 7]', '[3719, 3719, 5*w^4 - w^3 - 20*w^2 + 3*w + 11]', '[3719, 3719, w^4 + w^2 - 7]', '[3719, 3719, -w^4 + w^3 + 4*w^2 - 2*w - 8]', '[3719, 3719, -4*w^4 + 4*w^3 + 12*w^2 - 12*w - 5]', '[3719, 3719, 5*w^4 - 19*w^2 + 9]', '[3739, 3739, w^4 + 2*w^3 - 8*w^2 - 6*w + 10]', '[3739, 3739, -2*w^4 - 3*w^3 + 10*w^2 + 7*w - 6]', '[3739, 3739, -4*w^4 + 4*w^3 + 15*w^2 - 13*w - 8]', '[3739, 3739, -w^4 + 5*w^3 + 3*w^2 - 12*w - 1]', '[3739, 3739, 3*w^4 + 2*w^3 - 13*w^2 - 6*w + 10]', '[3761, 3761, 3*w^4 - 4*w^3 - 10*w^2 + 6*w + 6]', '[3761, 3761, 4*w^4 - 16*w^2 + 2*w + 9]', '[3761, 3761, 2*w^4 - 6*w^3 - 5*w^2 + 14*w]', '[3761, 3761, 4*w^4 - 3*w^3 - 13*w^2 + 4*w + 3]', '[3761, 3761, 2*w^4 + 4*w^3 - 10*w^2 - 11*w + 6]', '[3827, 3827, -3*w^4 + 4*w^3 + 8*w^2 - 8*w + 4]', '[3827, 3827, w^4 - w^3 - 7*w^2 + 2*w + 3]', '[3827, 3827, -w^4 + 6*w^2 + 3*w - 8]', '[3827, 3827, -2*w^3 + 2*w^2 + 5*w - 9]', '[3827, 3827, -2*w^4 + w^3 + 8*w^2 - w - 11]', '[3827, 3827, -w^4 - w^3 + 5*w^2 + 4*w + 2]', '[3827, 3827, w^4 + 3*w^3 - 7*w^2 - 6*w + 8]', '[3827, 3827, -w^4 + 3*w^3 - 7*w - 1]', '[3827, 3827, w^4 - 3*w^3 - 5*w^2 + 7*w + 10]', '[3827, 3827, -3*w^4 + 3*w^3 + 10*w^2 - 4*w - 3]', '[3827, 3827, 2*w^4 - 5*w^3 - 6*w^2 + 12*w + 4]', '[3827, 3827, -2*w^4 - w^3 + 11*w^2 + 3*w - 8]', '[3827, 3827, w^3 + w - 6]', '[3827, 3827, 4*w^3 - w^2 - 12*w - 4]', '[3827, 3827, -w^4 - 2*w^3 + 5*w^2 + 8*w - 9]', '[3827, 3827, 2*w^4 + 3*w^3 - 9*w^2 - 8*w + 7]', '[3827, 3827, w^4 - 2*w^3 - 4*w^2 + 4*w - 3]', '[3827, 3827, -2*w^3 + w^2 + 4*w + 5]', '[3827, 3827, 3*w^4 - 12*w^2 - 4*w + 9]', '[3827, 3827, -4*w^4 + 16*w^2 + w - 14]', '[3827, 3827, -4*w^4 + 2*w^3 + 15*w^2 - 3*w - 3]', '[3827, 3827, w^4 + 2*w^3 - 5*w^2 - 3*w + 8]', '[3827, 3827, 4*w^4 - 4*w^3 - 15*w^2 + 8*w + 7]', '[3827, 3827, 3*w^3 - 4*w^2 - 9*w + 5]', '[3827, 3827, 4*w^3 - 9*w - 3]', '[3851, 3851, 2*w^4 - 3*w^3 - 10*w^2 + 9*w + 5]', '[3851, 3851, 5*w^4 - 2*w^3 - 17*w^2 + 5*w + 3]', '[3851, 3851, 5*w^4 - w^3 - 17*w^2 + 10]', '[3851, 3851, -3*w^4 + 10*w^2 - 2*w + 1]', '[3851, 3851, -w^4 + 3*w^3 + 5*w^2 - 11*w - 1]', '[3872, 22, 2*w^4 + 2*w^3 - 6*w^2 - 6*w - 4]', '[3883, 3883, -8*w^4 + w^3 + 28*w^2 + w - 7]', '[3883, 3883, -w^4 - 4*w^3 + 3*w^2 + 9*w + 1]', '[3883, 3883, 4*w^4 - w^3 - 14*w^2 - 3*w]', '[3883, 3883, -2*w^4 + 7*w^2 + 5*w + 3]', '[3883, 3883, w^4 + 4*w^3 - 4*w^2 - 11*w - 1]', '[3917, 3917, -3*w^3 - w^2 + 12*w - 1]', '[3917, 3917, w^4 + 2*w^3 - 7*w - 8]', '[3917, 3917, 5*w^4 - 5*w^3 - 18*w^2 + 11*w + 9]', '[3917, 3917, 4*w^4 - 3*w^3 - 10*w^2 + 6*w + 2]', '[3917, 3917, 6*w^4 - 3*w^3 - 21*w^2 + 7*w + 6]', '[4003, 4003, -5*w^4 + w^3 + 16*w^2 - w - 7]', '[4003, 4003, -5*w^4 + 2*w^3 + 16*w^2 - 5*w - 7]', '[4003, 4003, -5*w^4 + 4*w^3 + 15*w^2 - 8*w - 3]', '[4003, 4003, 2*w^4 - 3*w^3 - 9*w^2 + 11*w + 9]', '[4003, 4003, -w^4 + 2*w^3 + 7*w^2 - 8*w - 5]', '[4027, 4027, -3*w^4 - w^3 + 14*w^2 + w - 12]', '[4027, 4027, w^3 + 4*w^2 - 4*w - 10]', '[4027, 4027, -5*w^4 + 5*w^3 + 17*w^2 - 11*w - 5]', '[4027, 4027, w^4 + 4*w^3 - 3*w^2 - 11*w - 3]', '[4027, 4027, -w^4 - 4*w^3 + 4*w^2 + 9*w + 1]', '[4049, 4049, 3*w^4 - w^3 - 11*w^2 + 6*w + 2]', '[4049, 4049, 6*w^4 - 2*w^3 - 21*w^2 + 4*w + 11]', '[4049, 4049, w^4 - 4*w^3 - 4*w^2 + 14*w + 5]', '[4049, 4049, -2*w^3 - 4*w^2 + 7*w + 5]', '[4049, 4049, 4*w^4 - 3*w^3 - 10*w^2 + 5*w - 3]', '[4091, 4091, w^4 - 3*w^3 - 2*w^2 + 4*w - 3]', '[4091, 4091, 2*w^4 + 3*w^3 - 9*w^2 - 10*w + 9]', '[4091, 4091, -3*w^4 - w^3 + 10*w^2 + 5*w - 6]', '[4091, 4091, w^4 - 2*w^3 - 6*w^2 + 3*w + 10]', '[4091, 4091, -4*w^4 + w^3 + 17*w^2 - w - 8]', '[4093, 4093, -4*w^4 + w^3 + 16*w^2 - 4*w - 6]', '[4093, 4093, -5*w^4 + 2*w^3 + 21*w^2 - 4*w - 12]', '[4093, 4093, -3*w^4 - 3*w^3 + 12*w^2 + 11*w - 8]', '[4093, 4093, -3*w^4 + 4*w^3 + 9*w^2 - 10*w - 6]', '[4093, 4093, -3*w^4 + 6*w^3 + 7*w^2 - 15*w - 1]', '[4103, 4103, -5*w^4 + 2*w^3 + 17*w^2 - 5]', '[4103, 4103, -2*w^4 - 5*w^3 + 7*w^2 + 16*w - 4]', '[4103, 4103, -5*w^4 - 2*w^3 + 19*w^2 + 7*w - 9]', '[4103, 4103, 2*w^4 + 5*w^3 - 10*w^2 - 15*w + 7]', '[4103, 4103, -5*w^4 + 3*w^3 + 16*w^2 - 6*w - 5]', '[4157, 4157, 3*w^4 + w^3 - 14*w^2 - 5*w + 7]', '[4157, 4157, -w^4 + 5*w^3 + w^2 - 11*w - 2]', '[4157, 4157, w^4 + 4*w^3 - 7*w^2 - 11*w + 10]', '[4157, 4157, -2*w^4 + 4*w^3 + 7*w^2 - 7*w - 1]', '[4157, 4157, -3*w^4 + 2*w^3 + 13*w^2 - 2*w - 13]', '[4159, 4159, w^4 - 8*w^2 - w + 9]', '[4159, 4159, 3*w^4 - 5*w^3 - 8*w^2 + 14*w + 2]', '[4159, 4159, -w^4 - w^2 + 4*w + 7]', '[4159, 4159, -4*w^4 + 3*w^3 + 17*w^2 - 8*w - 10]', '[4159, 4159, 4*w^4 - 4*w^3 - 13*w^2 + 13*w + 5]', '[4192, 262, 2*w^4 - 6*w^3 - 4*w^2 + 14*w]', '[4192, 262, -2*w^4 + 4*w^3 + 10*w^2 - 14*w - 10]', '[4192, 262, 4*w^4 - 4*w^3 - 12*w^2 + 6*w + 4]', '[4192, 262, 2*w^4 - 4*w^3 - 6*w^2 + 14*w]', '[4192, 262, 4*w^4 + 2*w^3 - 16*w^2 - 6*w + 8]', '[4201, 4201, -3*w^4 + w^3 + 7*w^2 + w + 3]', '[4201, 4201, -3*w^4 + 4*w^3 + 11*w^2 - 13*w - 7]', '[4201, 4201, w^4 - 2*w^3 - 7*w^2 + 8*w + 6]', '[4201, 4201, -4*w^4 + 2*w^3 + 13*w^2 - 7*w - 2]', '[4201, 4201, -w^4 + 5*w^3 + 2*w^2 - 10*w - 1]', '[4289, 4289, 3*w^4 - 2*w^3 - 6*w^2 + 5*w - 4]', '[4289, 4289, 6*w^4 - 2*w^3 - 21*w^2 + 3*w + 10]', '[4289, 4289, 4*w^4 - w^3 - 17*w^2 + 5*w + 10]', '[4289, 4289, 3*w^3 - 2*w^2 - 9*w - 2]', '[4289, 4289, 3*w^4 - 11*w^2 + 3*w + 3]', '[4357, 4357, 2*w^4 + 4*w^3 - 9*w^2 - 11*w + 6]', '[4357, 4357, -3*w^4 + 2*w^3 + 6*w^2 - 4*w + 3]', '[4357, 4357, 3*w^4 + 3*w^3 - 12*w^2 - 8*w + 6]', '[4357, 4357, -3*w^4 - w^3 + 15*w^2 + 3*w - 11]', '[4357, 4357, -4*w^4 + w^3 + 16*w^2 - 5*w - 9]', '[4367, 4367, 3*w^4 - 2*w^3 - 12*w^2 + 4*w + 3]', '[4367, 4367, 4*w^4 + w^3 - 13*w^2 - 4*w - 1]', '[4367, 4367, 3*w^4 - w^3 - 11*w^2 - 1]', '[4367, 4367, -3*w^4 - 3*w^3 + 9*w^2 + 11*w - 1]', '[4367, 4367, 4*w^4 - 11*w^2 - 2*w - 2]', '[4421, 4421, 5*w^3 - w^2 - 11*w + 1]', '[4421, 4421, -5*w^4 + 4*w^3 + 16*w^2 - 8*w - 7]', '[4421, 4421, -w^4 - 4*w^3 + 8*w^2 + 9*w - 7]', '[4421, 4421, 4*w^4 - 5*w^3 - 15*w^2 + 10*w + 10]', '[4421, 4421, 4*w^4 - w^3 - 16*w^2 - 2*w + 9]', '[4423, 4423, 3*w^4 - 4*w^3 - 13*w^2 + 10*w + 7]', '[4423, 4423, w^4 - w^3 - 2*w^2 + w - 7]', '[4423, 4423, -5*w^4 + w^3 + 18*w^2 + w - 11]', '[4423, 4423, -w^4 + 4*w^3 + w^2 - 13*w]', '[4423, 4423, w^4 - 2*w^3 - 3*w^2 + 6*w + 7]', '[4489, 67, 4*w^4 + 2*w^3 - 17*w^2 - 6*w + 9]', '[4489, 67, -w^4 + 5*w^3 + w^2 - 11*w - 1]', '[4489, 67, -w^4 + 2*w^3 + 5*w^2 - 10*w - 2]', '[4489, 67, w^4 + 4*w^3 - 7*w^2 - 11*w + 9]', '[4489, 67, -2*w^4 + 4*w^3 + 7*w^2 - 7*w - 2]', '[4489, 67, w^4 + 2*w^3 - 3*w^2 - 10*w - 1]', '[4489, 67, 5*w^4 - 2*w^3 - 19*w^2 + 7*w + 11]', '[4489, 67, w^4 + 3*w^3 - w^2 - 9*w - 2]', '[4489, 67, w^4 + 3*w^3 - w^2 - 11*w - 5]', '[4489, 67, 3*w^4 + w^3 - 14*w^2 - 5*w + 8]', '[4489, 4489, 3*w^3 + w^2 - 7*w - 7]', '[4489, 4489, 4*w^4 - 3*w^3 - 15*w^2 + 6*w + 4]', '[4489, 4489, 2*w^4 + w^3 - 8*w^2 - 6*w + 9]', '[4489, 4489, -w^4 - 2*w^3 + 6*w^2 + 3*w - 9]', '[4489, 4489, w^4 - 3*w^3 + 8*w]', '[4531, 4531, 6*w^4 - w^3 - 21*w^2 + w + 13]', '[4531, 4531, -6*w^4 + 5*w^3 + 19*w^2 - 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14*w - 4]', '[4643, 4643, -6*w^4 + 5*w^3 + 20*w^2 - 10*w - 7]', '[4643, 4643, -w^4 + 2*w^3 - 2*w^2 - 5*w + 7]', '[4643, 4643, w^4 + w^3 - 4*w^2 - 8*w + 4]', '[4663, 4663, -3*w^4 + 3*w^3 + 11*w^2 - 4*w - 3]', '[4663, 4663, w^4 + 3*w^3 - 4*w^2 - 6*w - 3]', '[4663, 4663, -2*w^4 + 3*w^3 + 6*w^2 - 9*w - 6]', '[4663, 4663, -3*w^4 + 4*w^3 + 12*w^2 - 9*w - 4]', '[4663, 4663, 2*w^4 - 5*w^3 - 6*w^2 + 11*w + 6]', '[4687, 4687, -2*w^4 + 6*w^3 + 7*w^2 - 15*w - 3]', '[4687, 4687, w^4 + w^3 - 6*w^2 - 7*w + 5]', '[4687, 4687, -3*w^4 + w^3 + 8*w^2 - 3*w + 4]', '[4687, 4687, w^4 - 2*w^3 - 3*w^2 + 9*w + 1]', '[4687, 4687, w^4 - w^3 + w^2 + w - 7]', '[4687, 4687, w^4 + 5*w^3 - 5*w^2 - 14*w + 2]', '[4687, 4687, 5*w^4 - 3*w^3 - 16*w^2 + 5*w + 6]', '[4687, 4687, -w^4 - 2*w^3 + 9*w^2 + 5*w - 12]', '[4687, 4687, -5*w^4 + 5*w^3 + 15*w^2 - 10*w - 7]', '[4687, 4687, -w^4 + 8*w^2 + 2*w - 9]', '[4687, 4687, 5*w^2 - 12]', '[4687, 4687, 3*w^4 - 2*w^3 - 13*w^2 + 7*w + 5]', '[4687, 4687, -4*w^4 + 4*w^3 + 13*w^2 - 11*w - 8]', '[4687, 4687, -3*w^4 - w^3 + 9*w^2 + 5*w - 5]', '[4687, 4687, w^4 - 4*w^3 - 5*w^2 + 12*w + 4]', '[4687, 4687, -w^4 + w^2 + 4*w + 6]', '[4687, 4687, 4*w^4 + w^3 - 18*w^2 - 3*w + 13]', '[4687, 4687, 5*w^4 - 4*w^3 - 17*w^2 + 6*w + 9]', '[4687, 4687, -5*w^4 + 20*w^2 - 8]', '[4687, 4687, -5*w^3 + 15*w - 2]', '[4687, 4687, -5*w - 2]', '[4687, 4687, -4*w^4 + 15*w^2 - w - 6]', '[4687, 4687, -2*w^4 + 2*w^3 + 7*w^2 - 5]', '[4687, 4687, -4*w^4 + 6*w^3 + 12*w^2 - 13*w - 3]', '[4687, 4687, 3*w^4 + 3*w^3 - 13*w^2 - 7*w + 6]', '[4729, 4729, -w^4 - w^3 + 6*w^2 + 6*w - 10]', '[4729, 4729, -4*w^4 - 2*w^3 + 17*w^2 + 7*w - 12]', '[4729, 4729, 2*w^4 + w^3 - 9*w^2 - 7*w + 6]', '[4729, 4729, -2*w^4 - 3*w^3 + 10*w^2 + 6*w - 6]', '[4729, 4729, 3*w^3 - 5*w^2 - 8*w + 9]', '[4751, 4751, -2*w^4 + 7*w^2 + 2*w + 3]', '[4751, 4751, -2*w^4 + 2*w^3 + 8*w^2 - 5*w - 11]', '[4751, 4751, -5*w^4 + 19*w^2 - w - 10]', '[4751, 4751, -3*w^4 + 3*w^3 + 13*w^2 - 11*w - 10]', '[4751, 4751, 5*w^4 - w^3 - 20*w^2 + 3*w + 10]', '[4817, 4817, -2*w^4 + w^3 + 9*w^2 + w - 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w - 5]', '[5071, 5071, 2*w^4 + 4*w^3 - 11*w^2 - 13*w + 7]', '[5071, 5071, 3*w^4 - w^3 - 7*w^2 + w - 4]', '[5081, 5081, 2*w^4 - w^3 - 2*w^2 + 2*w - 5]', '[5081, 5081, w^3 + w^2 - 8*w]', '[5081, 5081, -6*w^4 + 5*w^3 + 19*w^2 - 11*w - 5]', '[5081, 5081, 5*w^4 - w^3 - 20*w^2 + 4*w + 12]', '[5081, 5081, -w^4 - 4*w^3 + 2*w^2 + 13*w + 3]', '[5093, 5093, w^4 + 5*w^3 - 4*w^2 - 14*w + 1]', '[5093, 5093, -3*w^4 - 2*w^3 + 11*w^2 + 8*w - 7]', '[5093, 5093, 6*w^4 - 20*w^2 - w + 4]', '[5093, 5093, -3*w^4 - 2*w^3 + 14*w^2 + 9*w - 6]', '[5093, 5093, -3*w^4 + w^3 + 9*w^2 + 2*w + 2]', '[5147, 5147, -5*w^2 + 2*w + 9]', '[5147, 5147, -5*w^4 + 2*w^3 + 16*w^2 - 4*w - 8]', '[5147, 5147, 5*w^4 - 3*w^3 - 15*w^2 + 4*w + 4]', '[5147, 5147, -4*w^4 + 13*w^2 + 3*w - 7]', '[5147, 5147, -2*w^3 - 3*w^2 + 8*w + 2]', '[5171, 5171, 2*w^4 + 4*w^3 - 9*w^2 - 11*w + 8]', '[5171, 5171, -3*w^4 + 6*w^3 + 9*w^2 - 14*w - 6]', '[5171, 5171, 3*w^4 + w^3 - 15*w^2 - 3*w + 9]', '[5171, 5171, -w^4 + 7*w^2 + 3*w - 11]', '[5171, 5171, -3*w^4 + 3*w^3 + 10*w^2 - 3*w - 2]', '[5203, 473, 5*w^4 - 2*w^3 - 17*w^2 + 6*w + 6]', '[5203, 473, 5*w^4 - 2*w^3 - 15*w^2 + 3*w + 3]', '[5203, 473, 2*w^4 - 3*w^2 - 3*w - 4]', '[5203, 473, 3*w^4 - 3*w^3 - 11*w^2 + 11*w + 5]', '[5203, 473, -w^4 + 3*w^3 + 6*w^2 - 11*w - 6]', '[5237, 5237, -4*w^4 + w^3 + 18*w^2 - 3*w - 10]', '[5237, 5237, w^4 + 2*w - 8]', '[5237, 5237, 4*w^4 - 6*w^3 - 12*w^2 + 15*w + 6]', '[5237, 5237, -2*w^4 + 4*w^3 + 6*w^2 - 11*w - 6]', '[5237, 5237, -3*w^4 - 3*w^3 + 11*w^2 + 10*w - 7]', '[5279, 5279, 3*w^4 + w^3 - 10*w^2 - 7*w + 6]', '[5279, 5279, 3*w^4 - 2*w^3 - 12*w^2 + 6*w + 2]', '[5279, 5279, 5*w^4 - 4*w^3 - 19*w^2 + 10*w + 8]', '[5279, 5279, -2*w^4 - w^3 + 6*w^2 + 5*w - 6]', '[5279, 5279, 3*w^4 + 2*w^3 - 13*w^2 - 4*w + 8]', '[5281, 5281, 5*w^3 - 14*w - 2]', '[5281, 5281, 5*w^4 - 5*w^3 - 16*w^2 + 10*w + 5]', '[5281, 5281, -4*w^4 - w^3 + 17*w^2 + 2*w - 11]', '[5281, 5281, -4*w^4 + 3*w^3 + 16*w^2 - 8*w - 7]', '[5281, 5281, -w^3 + 5*w^2 + 3*w - 8]', '[5303, 5303, 2*w^4 - 3*w^3 - 4*w^2 + 5*w - 5]', '[5303, 5303, -2*w^4 + 2*w^3 + 10*w^2 - 5*w - 5]', '[5303, 5303, -4*w^4 + 15*w^2 + 2*w - 11]', '[5303, 5303, w^4 + w^3 - 3*w^2 - 4]', '[5303, 5303, w^4 - 4*w^3 - 2*w^2 + 12*w + 3]', '[5323, 5323, -4*w^4 - w^3 + 17*w^2 + 3*w - 12]', '[5323, 5323, 4*w^4 - 5*w^3 - 12*w^2 + 10*w + 2]', '[5323, 5323, -w^4 + w^3 + 4*w^2 + 2*w - 5]', '[5323, 5323, -w^4 + 8*w^2 + w - 8]', '[5323, 5323, -4*w^4 - w^3 + 15*w^2 + w - 6]', '[5347, 5347, -2*w^4 - 2*w^3 + 11*w^2 + 7*w - 9]', '[5347, 5347, 3*w^4 - 4*w^3 - 11*w^2 + 7*w + 6]', '[5347, 5347, -w^4 - 4*w^3 + 7*w^2 + 10*w - 7]', '[5347, 5347, -w^4 + 3*w^2 + 2*w - 7]', '[5347, 5347, -w^4 + 5*w^3 + 2*w^2 - 11*w - 1]', '[5413, 5413, -3*w^4 + 15*w^2 + w - 12]', '[5413, 5413, -2*w^4 - 4*w^3 + 9*w^2 + 11*w - 7]', '[5413, 5413, -w^4 + w^3 + 6*w^2 + w - 7]', '[5413, 5413, 2*w^4 - 6*w^3 - 5*w^2 + 15*w + 1]', '[5413, 5413, 3*w^4 + 3*w^3 - 13*w^2 - 9*w + 8]', '[5477, 5477, 5*w^4 - 3*w^3 - 17*w^2 + 3*w + 7]', '[5477, 5477, -3*w^4 + 6*w^3 + 11*w^2 - 15*w - 7]', '[5477, 5477, -6*w^4 + 3*w^3 + 21*w^2 - 6*w - 11]', '[5477, 5477, -2*w^3 + 3*w^2 + 9*w - 6]', '[5477, 5477, w^4 + 5*w^3 - 6*w^2 - 13*w + 6]', '[5479, 5479, -w^4 + 2*w^3 + 4*w^2 - 9*w - 3]', '[5479, 5479, 2*w^4 - w^3 - 3*w^2 + w - 5]', '[5479, 5479, 5*w^4 - 3*w^3 - 16*w^2 + 6*w + 6]', '[5479, 5479, 4*w^4 - w^3 - 15*w^2 + 4*w + 6]', '[5479, 5479, -3*w^3 - 2*w^2 + 10*w + 3]', '[5501, 5501, 3*w^4 - w^3 - 6*w^2 - 2]', '[5501, 5501, -3*w^4 + 11*w^2 + 2*w - 11]', '[5501, 5501, -5*w^4 + 2*w^3 + 18*w^2 - 7*w - 9]', '[5501, 5501, 3*w^3 + 3*w^2 - 11*w - 7]', '[5501, 5501, -w^4 + 3*w^3 + 2*w^2 - 9*w - 5]', '[5521, 5521, 2*w^4 - 12*w^2 + 9]', '[5521, 5521, 4*w^4 - 17*w^2 + 2*w + 9]', '[5521, 5521, -6*w^4 + 5*w^3 + 20*w^2 - 11*w - 9]', '[5521, 5521, 4*w^4 + 2*w^3 - 16*w^2 - 6*w + 11]', '[5521, 5521, 4*w^4 - 4*w^3 - 12*w^2 + 6*w + 1]', '[5543, 5543, -4*w^4 - 3*w^3 + 14*w^2 + 9*w]', '[5543, 5543, 2*w^4 - 2*w^3 - 11*w^2 + 6*w + 7]', '[5543, 5543, -5*w^4 + 2*w^3 + 18*w^2 - 6*w - 8]', '[5543, 5543, -2*w^4 + 7*w^3 + w^2 - 20*w + 9]', '[5543, 5543, 3*w^3 + 2*w^2 - 11*w - 4]', '[5543, 5543, -w^4 - 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13]', '[5963, 5963, -2*w^3 + 4*w^2 + 3*w - 10]', '[5963, 5963, -4*w^4 + 13*w^2 + 2*w - 8]', '[5963, 5963, -w^4 - w^3 + 8*w^2 + 5*w - 9]', '[5963, 5963, 2*w^4 + 2*w^3 - 7*w^2 - 4*w - 2]', '[5963, 5963, -5*w^4 + 3*w^3 + 20*w^2 - 7*w - 10]', '[5963, 5963, -3*w^4 + 4*w^3 + 12*w^2 - 10*w - 4]', '[5963, 5963, w^4 - 3*w^3 - w^2 + 10*w + 1]', '[5963, 5963, 2*w^4 - 2*w^3 - 11*w^2 + 5*w + 7]', '[5963, 5963, 2*w^4 - 5*w^3 - 5*w^2 + 13*w + 4]', '[5963, 5963, -w^3 + w^2 + 4*w - 8]', '[5963, 5963, -5*w^4 + 3*w^3 + 18*w^2 - 4*w - 6]', '[5963, 5963, 4*w^4 - w^3 - 14*w^2 - w + 10]', '[5963, 5963, -3*w^3 - 2*w^2 + 10*w + 1]', '[6007, 6007, 3*w^4 - 4*w^3 - 10*w^2 + 7*w + 2]', '[6007, 6007, 2*w^4 + w^3 - 11*w^2 - 4*w + 7]', '[6007, 6007, -2*w^4 - 3*w^3 + 10*w^2 + 8*w - 10]', '[6007, 6007, -w^4 + 5*w^3 + 2*w^2 - 12*w - 3]', '[6007, 6007, 3*w^4 + 3*w^3 - 14*w^2 - 8*w + 8]', '[6029, 6029, -3*w^4 - 2*w^3 + 13*w^2 + 5*w - 11]', '[6029, 6029, w^4 + w^3 - 8*w^2 - 3*w + 6]', '[6029, 6029, 4*w^4 - 4*w^3 - 13*w^2 + 7*w + 2]', '[6029, 6029, -w^4 + 5*w^3 + 3*w^2 - 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5*w^3 - 19*w^2 + 11*w + 7]', '[8689, 8689, w^4 - 4*w^3 + w^2 + 12*w - 2]', '[8689, 8689, 5*w^4 + 2*w^3 - 21*w^2 - 7*w + 12]', '[8689, 8689, -2*w^4 + 4*w^3 + 8*w^2 - 6*w - 3]', '[8713, 8713, 5*w^4 - w^3 - 20*w^2 + 7]', '[8713, 8713, -2*w^4 + 5*w^3 + 3*w^2 - 11*w - 2]', '[8713, 8713, w^4 + 6*w^3 - 7*w^2 - 15*w + 6]', '[8713, 8713, -3*w^4 - 3*w^3 + 16*w^2 + 9*w - 13]', '[8713, 8713, -4*w^4 + 4*w^3 + 15*w^2 - 5*w - 9]', '[8777, 8777, w^4 + 3*w^3 - 11*w - 6]', '[8777, 8777, -5*w^4 + 2*w^3 + 19*w^2 - 8*w - 10]', '[8777, 8777, -3*w^4 + w^3 + 13*w^2 - 2*w - 2]', '[8777, 8777, 3*w^4 + 3*w^3 - 13*w^2 - 8*w + 8]', '[8777, 8777, -6*w^4 + w^3 + 19*w^2 - w - 6]', '[8777, 8777, -3*w^4 + 4*w^3 + 14*w^2 - 11*w - 8]', '[8777, 8777, -4*w^4 + 2*w^3 + 17*w^2 - 9*w - 13]', '[8777, 8777, -7*w^4 + 6*w^3 + 23*w^2 - 13*w - 9]', '[8777, 8777, 5*w^4 - 3*w^3 - 20*w^2 + 8*w + 9]', '[8777, 8777, 7*w^4 - 5*w^3 - 24*w^2 + 13*w + 7]', '[8777, 8777, 2*w^4 - 4*w^3 - 5*w^2 + 10*w + 7]', '[8777, 8777, w^3 + 3*w^2 - 2*w - 12]', '[8777, 8777, 5*w^4 - 2*w^3 - 19*w^2 + 12]', '[8777, 8777, 4*w^4 - w^3 - 16*w^2 + 2*w + 3]', '[8777, 8777, 2*w^4 - 5*w^3 - 5*w^2 + 16*w + 3]', '[8777, 8777, -w^4 - 5*w^3 + 2*w^2 + 15*w + 2]', '[8777, 8777, 4*w^4 - 6*w^3 - 15*w^2 + 13*w + 8]', '[8777, 8777, 3*w^4 + 2*w^3 - 10*w^2 - 9*w + 6]', '[8777, 8777, -w^4 - 2*w^3 + w^2 + 11*w]', '[8777, 8777, -w^4 - 3*w^3 + 4*w^2 + 10*w - 8]', '[8777, 8777, 5*w^4 + w^3 - 20*w^2 - 2*w + 8]', '[8777, 8777, 3*w^4 - 4*w^3 - 9*w^2 + 5*w + 2]', '[8777, 8777, -4*w^4 + 2*w^3 + 9*w^2 - 3*w + 2]', '[8777, 8777, -w^4 - 4*w^3 + 9*w^2 + 9*w - 11]', '[8777, 8777, -2*w^4 + 6*w^3 + 7*w^2 - 16*w - 8]', '[8779, 8779, 6*w^4 - 5*w^3 - 21*w^2 + 10*w + 9]', '[8779, 8779, -3*w^4 - 2*w^3 + 14*w^2 + 3*w - 10]', '[8779, 8779, 3*w^4 - 13*w^2 - 4*w + 12]', '[8779, 8779, -6*w^4 + 4*w^3 + 23*w^2 - 10*w - 10]', '[8779, 8779, -3*w^4 - 2*w^3 + 10*w^2 + 10*w - 6]', '[8821, 8821, 2*w^4 - 4*w^3 - 9*w^2 + 10*w + 2]', '[8821, 8821, -5*w^4 + 2*w^3 + 18*w^2 - 2*w - 14]', '[8821, 8821, 2*w^4 - 7*w^3 - 6*w^2 + 18*w + 1]', '[8821, 8821, -w^4 + 3*w^3 - w^2 - 6*w + 11]', '[8821, 8821, -3*w^3 + 2*w^2 + 11*w + 2]', '[8867, 8867, -2*w^4 - 3*w^3 + 7*w^2 + 12*w - 6]', '[8867, 8867, -2*w^4 - 2*w^3 + 8*w^2 + 7*w - 10]', '[8867, 8867, -4*w^4 + 5*w^3 + 10*w^2 - 12*w - 3]', '[8867, 8867, -w^4 - 5*w^3 + 2*w^2 + 13*w + 3]', '[8867, 8867, 6*w^4 - 3*w^3 - 23*w^2 + 7*w + 9]', '[8887, 8887, -3*w^4 - w^3 + 10*w^2 + 2*w + 2]', '[8887, 8887, -w^4 + 4*w^3 + 6*w^2 - 12*w - 3]', '[8887, 8887, -3*w^4 - 3*w^3 + 15*w^2 + 9*w - 13]', '[8887, 8887, -6*w^3 + 3*w^2 + 15*w - 2]', '[8887, 8887, 4*w^4 - 15*w^2 + 2*w + 3]', '[8933, 8933, -5*w^4 + 3*w^3 + 20*w^2 - 9*w - 8]', '[8933, 8933, 5*w^4 - 20*w^2 - 5*w + 13]', '[8933, 8933, -2*w^4 - 3*w^3 + 13*w^2 + 6*w - 13]', '[8933, 8933, 3*w^4 - 3*w^3 - 9*w^2 + 6*w - 5]', '[8933, 8933, 3*w^4 + 2*w^3 - 9*w^2 - 9*w + 5]', '[8999, 8999, 5*w^4 - 2*w^3 - 14*w^2 + 3*w + 3]', '[8999, 8999, 4*w^4 - 5*w^3 - 13*w^2 + 10*w + 3]', '[8999, 8999, 6*w^4 - 3*w^3 - 20*w^2 + 8*w + 5]', '[8999, 8999, -4*w^4 + 3*w^3 + 15*w^2 - 11*w - 9]', '[8999, 8999, -w^4 - w^3 + 8*w^2 + 4*w - 7]', '[9041, 9041, -3*w^4 + 2*w^3 + 14*w^2 - w - 11]', '[9041, 9041, -2*w^4 + 7*w^3 + 4*w^2 - 16*w + 1]', '[9041, 9041, w^4 - 4*w^3 + 2*w^2 + 8*w - 11]', '[9041, 9041, 2*w^4 + 3*w^3 - 8*w^2 - 5*w - 1]', '[9041, 9041, 6*w^4 - 2*w^3 - 22*w^2 + w + 15]', '[9043, 9043, -2*w^4 - w^3 + 6*w^2 + 3*w - 8]', '[9043, 9043, 3*w^3 + 3*w^2 - 11*w - 6]', '[9043, 9043, w^4 + 2*w^3 - 9*w^2 - 4*w + 8]', '[9043, 9043, 2*w^4 + w^3 - 7*w^2 - w - 5]', '[9043, 9043, 3*w^4 + 3*w^3 - 12*w^2 - 7*w + 8]', '[9109, 9109, -2*w^4 + 2*w^3 + 8*w^2 - 7*w - 12]', '[9109, 9109, 3*w^4 - 5*w^3 - 9*w^2 + 9*w + 1]', '[9109, 9109, -3*w^4 - 3*w^3 + 14*w^2 + 9*w - 12]', '[9109, 9109, w^4 - 6*w^3 - w^2 + 15*w + 1]', '[9109, 9109, -3*w^4 + 15*w^2 + 2*w - 10]', '[9131, 9131, w^4 - 3*w^3 + 4*w - 6]', '[9131, 9131, -w^4 + 3*w^3 + w^2 - 3*w + 4]', '[9131, 9131, 5*w^3 - w^2 - 10*w - 2]', '[9131, 9131, 2*w^4 - 4*w^3 - 10*w^2 + 13*w + 9]', '[9131, 9131, -3*w^4 - 4*w^3 + 14*w^2 + 12*w - 9]', '[9131, 9131, -4*w^4 + 19*w^2 + 2*w - 15]', '[9131, 9131, -4*w^4 + 3*w^3 + 17*w^2 - 7*w - 9]', '[9131, 9131, 3*w^4 - 6*w^3 - 7*w^2 + 15*w + 2]', '[9131, 9131, 2*w^4 - 5*w^3 - 4*w^2 + 14*w + 1]', '[9131, 9131, -3*w^4 - 3*w^3 + 12*w^2 + 11*w - 9]', '[9131, 9131, -2*w^3 - 3*w^2 + 3*w + 9]', '[9131, 9131, -4*w^4 + 5*w^3 + 16*w^2 - 10*w - 9]', '[9131, 9131, -4*w^4 - w^3 + 15*w^2 + 6*w - 10]', '[9131, 9131, -2*w^4 + w^3 + 2*w^2 + w + 5]', '[9131, 9131, 5*w^4 - 2*w^3 - 21*w^2 + 4*w + 11]', '[9131, 9131, -5*w^3 + 5*w^2 + 11*w - 9]', '[9131, 9131, 3*w^4 - 4*w^3 - 10*w^2 + 14*w + 3]', '[9131, 9131, -w^4 - 4*w^3 + 8*w^2 + 13*w - 7]', '[9131, 9131, -3*w^4 + 5*w^3 + 9*w^2 - 8*w - 4]', '[9131, 9131, 6*w^4 - 2*w^3 - 19*w^2 + 2*w + 5]', '[9131, 9131, -w^4 - 2*w^3 + 2*w^2 + 3*w + 5]', '[9131, 9131, -5*w^4 + w^3 + 17*w^2 - 4*w - 6]', '[9131, 9131, 2*w^4 - 2*w^3 - 10*w^2 + w + 9]', '[9131, 9131, -5*w^4 + w^3 + 20*w^2 + 2*w - 14]', '[9131, 9131, 2*w^4 - 7*w^3 - 4*w^2 + 17*w - 1]', '[9151, 9151, 3*w^4 - 5*w^3 - 7*w^2 + 8*w - 3]', '[9151, 9151, -4*w^4 + 2*w^3 + 19*w^2 - 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9*w^2 + 4*w + 14]', '[9637, 9637, 2*w^4 + w^3 - 5*w^2 - 2*w - 5]', '[9637, 9637, -3*w^2 - 4*w + 7]', '[9637, 9637, 8*w^3 - 4*w^2 - 22*w + 5]', '[9637, 9637, -7*w^4 + 3*w^3 + 26*w^2 - 8*w - 14]', '[9637, 9637, 3*w^3 - 13*w]', '[9637, 9637, w^4 - 4*w^3 - 4*w^2 + 15*w + 3]', '[9637, 9637, 4*w^4 - 7*w^3 - 15*w^2 + 18*w + 14]', '[9637, 9637, 5*w^4 - 4*w^3 - 12*w^2 + 6*w + 1]', '[9637, 9637, -3*w^4 + 8*w^3 + 3*w^2 - 20*w + 7]', '[9679, 9679, 2*w^4 - 12*w^2 - 3*w + 11]', '[9679, 9679, -3*w^4 - w^3 + 13*w^2 + 6*w - 14]', '[9679, 9679, -4*w^4 - 2*w^3 + 19*w^2 + 6*w - 15]', '[9679, 9679, 4*w^3 - 4*w^2 - 11*w + 1]', '[9679, 9679, -4*w^4 + 3*w^3 + 16*w^2 - 5*w - 5]', '[9691, 9691, -3*w^4 + 8*w^2 + w + 7]', '[9691, 9691, -8*w^4 - 2*w^3 + 24*w^2 + 8*w - 1]', '[9691, 9691, -4*w^4 - w^3 + 15*w^2 + 8*w + 1]', '[9691, 9691, 8*w^4 + w^3 - 30*w^2 - 9*w + 4]', '[9691, 9691, -3*w^4 + 6*w^3 + 11*w^2 - 15*w]', '[9701, 9701, -w^4 - 4*w^3 + 8*w^2 + 7*w - 9]', '[9701, 9701, -w^4 + w^3 + 6*w^2 + 2*w - 6]', '[9701, 9701, -4*w^4 + 16*w^2 - 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11]', '[9923, 9923, 4*w^4 - w^3 - 19*w^2 + 14]', '[9923, 9923, 3*w^4 - 6*w^3 - 8*w^2 + 11*w + 1]', '[9923, 9923, 4*w^4 + 3*w^3 - 17*w^2 - 7*w + 8]', '[9923, 9923, -4*w^4 - 3*w^3 + 18*w^2 + 10*w - 13]', '[9967, 9967, 2*w^4 + 5*w^3 - 11*w^2 - 13*w + 7]', '[9967, 9967, -2*w^4 + 7*w^3 + 5*w^2 - 16*w]', '[9967, 9967, 3*w^4 + 2*w^3 - 16*w^2 - 7*w + 15]', '[9967, 9967, 5*w^4 - 20*w^2 + 2*w + 11]', '[9967, 9967, 4*w^4 - 5*w^3 - 14*w^2 + 8*w + 9]'], 'label': '5.5.14641.1', 'narrow_class_no': 1, 'primes': ['[11, 11, w^4 + w^3 - 4*w^2 - 3*w + 2]', '[23, 23, -w^4 + 3*w^2 + 1]', '[23, 23, -w^4 + 3*w^2 + w - 2]', '[23, 23, w^4 - w^3 - 3*w^2 + 3*w + 2]', '[23, 23, -w^4 + w^3 + 4*w^2 - 3*w - 1]', '[23, 23, -w^2 + w + 3]', '[32, 2, 2]', '[43, 43, -2*w^4 + w^3 + 6*w^2 - 2*w - 1]', '[43, 43, -w^4 + 2*w^2 + w + 1]', '[43, 43, w^3 + w^2 - 4*w - 2]', '[43, 43, 2*w^4 - w^3 - 7*w^2 + 3*w + 3]', '[43, 43, w^4 - w^3 - 4*w^2 + 4*w + 2]', '[67, 67, 2*w^4 - 7*w^2 + 2]', '[67, 67, w^4 - 2*w^3 - 3*w^2 + 6*w + 2]', '[67, 67, 2*w^4 - 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6*w - 5]', '[353, 353, -2*w^4 + w^3 + 9*w^2 - 3*w - 5]', '[353, 353, -2*w^4 - w^3 + 7*w^2 + 4*w - 4]', '[353, 353, -w^4 + 3*w^3 + 3*w^2 - 9*w - 3]', '[353, 353, -3*w^4 + 11*w^2 + w - 7]', '[353, 353, w^4 - w^3 - 6*w^2 + 3*w + 4]', '[373, 373, w^3 + 2*w^2 - 5*w - 3]', '[373, 373, 2*w^4 - 3*w^3 - 6*w^2 + 6*w]', '[373, 373, -w^4 + w^3 + 3*w^2 - 3*w + 3]', '[373, 373, -2*w^4 + 2*w^3 + 8*w^2 - 7*w - 5]', '[373, 373, -w^4 + w^3 + 4*w^2 - 3*w - 6]', '[397, 397, -w^4 - w^3 + 6*w^2 + 3*w - 5]', '[397, 397, 2*w^4 - 2*w^3 - 7*w^2 + 3*w + 3]', '[397, 397, -w^4 + 5*w^2 + 2*w - 5]', '[397, 397, w^4 + 2*w^3 - 5*w^2 - 5*w + 4]', '[397, 397, -w^4 + 3*w^3 + 3*w^2 - 7*w - 2]', '[419, 419, 3*w^3 - w^2 - 8*w]', '[419, 419, 2*w^4 - 3*w^3 - 6*w^2 + 6*w + 1]', '[419, 419, w^4 - 2*w^3 - 5*w^2 + 7*w + 4]', '[419, 419, -2*w^4 - w^3 + 9*w^2 + 3*w - 7]', '[419, 419, -w^4 + 3*w^3 + w^2 - 8*w + 1]', '[439, 439, -w^4 + w^3 + 5*w^2 - 5*w - 5]', '[439, 439, 2*w^4 - 9*w^2 - 2*w + 8]', '[439, 439, -3*w^4 + 2*w^3 + 11*w^2 - 5*w - 3]', '[439, 439, 2*w^4 - 2*w^3 - 8*w^2 + 3*w + 4]', '[439, 439, -w^4 + 3*w^3 + 3*w^2 - 6*w - 3]', '[461, 461, -w^4 + 5*w^2 + 2*w - 6]', '[461, 461, -w^4 + 3*w^2 - w + 3]', '[461, 461, -w^4 - 2*w^3 + 5*w^2 + 5*w - 5]', '[461, 461, -2*w^4 + 7*w^2 + w - 6]', '[461, 461, -w^4 + 3*w^3 + 3*w^2 - 7*w - 3]', '[463, 463, 2*w^4 - 2*w^3 - 8*w^2 + 5*w + 3]', '[463, 463, w^4 + w^3 - 3*w^2 - 2*w - 2]', '[463, 463, 2*w^4 - 7*w^2 - 2*w + 5]', '[463, 463, w^4 - 2*w^3 - 2*w^2 + 6*w + 1]', '[463, 463, -w^3 + 2*w^2 + w - 5]', '[571, 571, w^4 - w^3 - 3*w^2 + 2*w - 3]', '[571, 571, 3*w^4 - 2*w^3 - 10*w^2 + 6*w + 2]', '[571, 571, -2*w^4 + 2*w^3 + 8*w^2 - 7*w - 6]', '[571, 571, 2*w^4 - 5*w^2 - 2*w - 2]', '[571, 571, 3*w^4 - w^3 - 9*w^2 + 2*w + 3]', '[593, 593, 3*w^4 - w^3 - 9*w^2 + w + 3]', '[593, 593, -w^4 + 2*w^3 + 5*w^2 - 7*w - 3]', '[593, 593, -2*w^4 + 2*w^3 + 7*w^2 - 7*w - 4]', '[593, 593, w^4 - w^2 - 2*w - 4]', '[593, 593, 3*w^4 - w^3 - 10*w^2 + 3*w + 2]', '[617, 617, -w^4 - w^3 + 6*w^2 + 4*w - 5]', '[617, 617, 3*w^3 - w^2 - 7*w]', '[617, 617, 2*w^4 - w^3 - 8*w^2 + 6]', '[617, 617, 2*w^4 - 3*w^3 - 7*w^2 + 6*w + 3]', '[617, 617, -w^4 - 2*w^3 + 6*w^2 + 5*w - 6]', '[659, 659, -w^4 + w^3 + 4*w^2 - 5*w - 4]', '[659, 659, 2*w^3 + w^2 - 7*w]', '[659, 659, -3*w^4 + 2*w^3 + 9*w^2 - 4*w - 4]', '[659, 659, 3*w^4 - w^3 - 11*w^2 + 3*w + 3]', '[659, 659, w^4 - w^2 - w - 5]', '[661, 661, -5*w^4 + 2*w^3 + 18*w^2 - 4*w - 9]', '[661, 661, -w^4 + 3*w^3 + 6*w^2 - 9*w - 8]', '[661, 661, w^4 + 2*w^3 - 2*w^2 - 7*w - 2]', '[661, 661, -w^4 + w^3 + 5*w^2 - 2*w - 9]', '[661, 661, -3*w^4 + 2*w^3 + 12*w^2 - 2*w - 8]', '[683, 683, -w^4 + w^3 + 4*w^2 - 5*w - 3]', '[683, 683, 2*w^3 + w^2 - 7*w - 1]', '[683, 683, w^4 - w^2 - w - 4]', '[683, 683, 3*w^4 - 2*w^3 - 9*w^2 + 4*w + 3]', '[683, 683, 3*w^4 - w^3 - 11*w^2 + 3*w + 4]', '[727, 727, -5*w^4 + 3*w^3 + 19*w^2 - 7*w - 9]', '[727, 727, -2*w^4 - 2*w^3 + 7*w^2 + 9*w - 4]', '[727, 727, 3*w^4 + 2*w^3 - 13*w^2 - 6*w + 6]', '[727, 727, w^4 - 2*w^2 + 3*w - 4]', '[727, 727, -2*w^4 + 5*w^3 + 6*w^2 - 14*w - 4]', '[769, 769, -2*w^4 - w^3 + 9*w^2 + 2*w - 7]', '[769, 769, -w^4 + 4*w^2 + 3*w - 4]', '[769, 769, -w^3 + 3*w^2 + 3*w - 4]', '[769, 769, 3*w^4 - 3*w^3 - 10*w^2 + 6*w + 3]', '[769, 769, 3*w^3 - 8*w - 2]', '[857, 857, w^4 - 5*w^3 - 2*w^2 + 14*w - 1]', '[857, 857, 4*w^4 - w^3 - 13*w^2 + 4]', '[857, 857, -2*w^4 + 4*w^3 + 6*w^2 - 10*w - 5]', '[857, 857, 4*w^4 + w^3 - 14*w^2 - 5*w + 6]', '[857, 857, 4*w^4 + w^3 - 16*w^2 - 4*w + 8]', '[859, 859, 3*w^4 - w^3 - 11*w^2 + 5*w + 5]', '[859, 859, -2*w^4 + 5*w^3 + 6*w^2 - 13*w - 1]', '[859, 859, -2*w^4 - 2*w^3 + 5*w^2 + 7*w + 1]', '[859, 859, -w^3 + w^2 + 6*w + 1]', '[859, 859, 4*w^4 - w^3 - 13*w^2 + 3*w + 4]', '[881, 881, 2*w^4 + w^3 - 11*w^2 - 3*w + 11]', '[881, 881, w^4 - 6*w^2 - 3*w + 5]', '[881, 881, -2*w^4 + 5*w^3 + 6*w^2 - 12*w - 1]', '[881, 881, -2*w^4 - 3*w^3 + 9*w^2 + 8*w - 4]', '[881, 881, 3*w^4 + w^3 - 12*w^2 - 3*w + 7]', '[947, 947, 2*w^4 + 3*w^3 - 7*w^2 - 8*w]', '[947, 947, 2*w^4 - 3*w^3 - 6*w^2 + 4*w]', '[947, 947, 2*w^4 + 2*w^3 - 7*w^2 - 8*w + 4]', '[947, 947, -w^4 + 2*w^3 - 7*w + 3]', '[947, 947, -4*w^4 + 5*w^3 + 14*w^2 - 12*w - 5]', '[967, 967, 2*w^4 - w^3 - 9*w^2 + 3*w + 4]', '[967, 967, -2*w^4 - w^3 + 7*w^2 + 4*w - 5]', '[967, 967, w^4 - 2*w^2 + w - 4]', '[967, 967, w^4 - w^3 - 2*w^2 - 3]', '[967, 967, -2*w^4 + 3*w^3 + 6*w^2 - 8*w - 4]', '[991, 991, -w^4 + 4*w^3 + 2*w^2 - 12*w - 1]', '[991, 991, w^4 + 3*w^3 - 3*w^2 - 11*w - 1]', '[991, 991, 2*w^3 - 2*w^2 - 5*w + 8]', '[991, 991, -2*w^4 + 3*w^3 + 4*w^2 - 5*w + 3]', '[991, 991, 4*w^4 - 4*w^3 - 11*w^2 + 9*w]']}
27. label: 3.3.961.1
    {'degree': 3, 'discriminant': 961, 'ideals': ['[1, 1, 1]', '[2, 2, 1/2*w^2 - 1/2*w - 4]', '[2, 2, 1/2*w^2 + 1/2*w - 3]', '[2, 2, -w + 1]', '[4, 2, -w^2 + 10]', '[4, 2, 1/2*w^2 - 3/2*w]', '[4, 2, -1/2*w^2 - 3/2*w + 1]', '[4, 4, -1/2*w^2 + 1/2*w + 6]', '[4, 4, w - 3]', '[4, 4, 1/2*w^2 + 1/2*w - 1]', '[8, 2, 2]', '[8, 4, w]', '[8, 4, -1/2*w^2 + 1/2*w + 3]', '[8, 4, -1/2*w^2 - 1/2*w + 2]', '[8, 4, -1/2*w^2 - 1/2*w + 4]', '[8, 4, -1/2*w^2 + 1/2*w + 5]', '[8, 4, -w + 2]', '[8, 8, -w^2 + 9]', '[8, 8, -1/2*w^2 + 3/2*w + 1]', '[8, 8, -1/2*w^2 - 3/2*w + 2]', '[16, 4, w^2 - w - 8]', '[16, 4, w^2 + 2*w - 4]', '[16, 4, -1/2*w^2 + 5/2*w - 1]', '[16, 4, w^2 + w - 6]', '[16, 4, 3/2*w^2 - 1/2*w - 14]', '[16, 4, -2*w + 2]', '[16, 8, 1/2*w^2 + 1/2*w - 6]', '[16, 8, 1/2*w^2 + 1/2*w]', '[16, 8, -1/2*w^2 + 1/2*w + 1]', '[16, 8, -w - 2]', '[16, 8, w - 4]', '[16, 8, 1/2*w^2 - 1/2*w - 7]', '[16, 16, w + 1]', '[16, 16, 1/2*w^2 - 1/2*w - 2]', '[16, 16, 1/2*w^2 + 1/2*w - 5]', '[23, 23, -w^2 + w + 7]', '[23, 23, w^2 + w - 7]', '[23, 23, -2*w + 1]', '[27, 3, 3]', '[29, 29, -w^2 - 3*w + 1]', '[29, 29, w^2 - 3*w + 1]', '[29, 29, -2*w^2 + 21]', '[31, 31, -3*w^2 + w + 31]', '[32, 4, -2*w^2 + 20]', '[32, 4, w^2 - 3*w]', '[32, 4, -w^2 - 3*w + 2]', '[32, 8, -w^2 + 8]', '[32, 8, -1/2*w^2 + 3/2*w - 2]', '[32, 8, -w^2 + w + 12]', '[32, 8, 1/2*w^2 + 3/2*w - 3]', '[32, 8, 2*w - 6]', '[32, 8, -w^2 + 12]', '[32, 8, -1/2*w^2 - 3/2*w - 1]', '[32, 8, 1/2*w^2 - 3/2*w - 2]', '[32, 8, w^2 + w - 2]', '[32, 16, 1/2*w^2 + 1/2*w - 8]', '[32, 16, 3/2*w^2 + 5/2*w - 7]', '[32, 16, w + 4]', '[32, 16, -1/2*w^2 + 1/2*w - 1]', '[32, 16, 1/2*w^2 - 7/2*w + 2]', '[32, 16, -2*w^2 + w + 18]', '[32, 32, 2*w^2 - w - 19]', '[32, 32, -3/2*w^2 - 5/2*w + 6]', '[32, 32, -1/2*w^2 + 7/2*w - 3]', '[46, 46, -w^2 + 4*w - 1]', '[46, 46, -5/2*w^2 + 1/2*w + 24]', '[46, 46, 1/2*w^2 + 5/2*w - 3]', '[46, 46, -w^2 + 2*w + 5]', '[46, 46, 3/2*w^2 - 1/2*w - 17]', '[46, 46, 3/2*w^2 + 1/2*w - 12]', '[46, 46, -w^2 - 2*w + 1]', '[46, 46, 1/2*w^2 - 5/2*w + 4]', '[46, 46, -3/2*w^2 - 7/2*w + 5]', '[47, 47, 2*w - 3]', '[47, 47, w^2 + w - 5]', '[47, 47, w^2 - w - 9]', '[54, 6, 3/2*w^2 - 3/2*w - 12]', '[54, 6, 3/2*w^2 + 3/2*w - 9]', '[54, 6, -3*w + 3]', '[58, 58, -2*w^2 + w + 21]', '[58, 58, 1/2*w^2 + 1/2*w + 1]', '[58, 58, -3/2*w^2 - 5/2*w + 4]', '[58, 58, -1/2*w^2 + 5/2*w]', '[58, 58, 1/2*w^2 - 7/2*w + 5]', '[58, 58, -3/2*w^2 + 1/2*w + 13]', '[58, 58, -1/2*w^2 + 1/2*w + 8]', '[58, 58, -w^2 - 2*w + 5]', '[58, 58, -w + 5]', '[61, 61, w^2 - w - 11]', '[61, 61, -w^2 - w + 3]', '[61, 61, -2*w + 5]', '[62, 62, -1/2*w^2 + 3/2*w + 3]', '[62, 62, -1/2*w^2 - 3/2*w + 4]', '[62, 62, -w^2 + 7]', '[64, 4, 4]', '[64, 8, 2*w]', '[64, 8, -w^2 + 2*w]', '[64, 8, -w^2 + w + 6]', '[64, 8, 1/2*w^2 + 5/2*w + 2]', '[64, 8, -w^2 - w + 4]', '[64, 8, -3/2*w^2 - 1/2*w + 17]', '[64, 8, -w^2 - w + 8]', '[64, 8, -w^2 + w + 10]', '[64, 8, -2*w + 4]', '[64, 16, 3/2*w^2 + 7/2*w - 2]', '[64, 16, -2*w^2 + 18]', '[64, 16, w^2 - 4*w + 4]', '[64, 16, -w^2 + 3*w + 2]', '[64, 16, -5/2*w^2 + 1/2*w + 27]', '[64, 16, -1/2*w^2 + 3/2*w + 10]', '[64, 16, -w^2 - 3*w + 4]', '[64, 16, -1/2*w^2 - 3/2*w + 11]', '[64, 16, w^2]', '[64, 32, -1/2*w^2 + 7/2*w - 4]', '[64, 32, 3/2*w^2 - 11/2*w + 1]', '[64, 32, 7/2*w^2 - 1/2*w - 34]', '[64, 32, 2*w^2 - w - 20]', '[64, 32, -3/2*w^2 - 5/2*w + 5]', '[64, 32, -2*w^2 - 5*w + 6]', '[64, 64, 3/2*w^2 + 1/2*w - 14]', '[64, 64, w^2 - 2*w - 3]', '[64, 64, 1/2*w^2 + 5/2*w - 1]', '[89, 89, w^2 - w - 1]', '[89, 89, w^2 + w - 13]', '[89, 89, -2*w - 5]', '[92, 46, -w^2 + 2*w + 2]', '[92, 46, -1/2*w^2 - 5/2*w]', '[92, 46, 1/2*w^2 + 3/2*w - 5]', '[92, 46, -1/2*w^2 + 3/2*w + 4]', '[92, 46, -1/2*w^2 - 3/2*w + 9]', '[92, 46, 1/2*w^2 - 3/2*w - 8]', '[92, 46, 3/2*w^2 + 1/2*w - 15]', '[92, 46, w^2 - 2]', '[92, 46, w^2 - 6]', '[92, 92, -w - 5]', '[92, 92, 1/2*w^2 - 7/2*w + 7]', '[92, 92, -3/2*w^2 - 5/2*w + 2]', '[92, 92, -w^2 + 13]', '[92, 92, 1/2*w^2 + 1/2*w - 9]', '[92, 92, 1/2*w^2 - 1/2*w + 2]', '[92, 92, 2*w^2 - w - 23]', '[92, 92, -1/2*w^2 + 3/2*w - 3]', '[92, 92, -1/2*w^2 - 3/2*w - 2]', '[94, 94, -3/2*w^2 + 7/2*w + 4]', '[94, 94, 1/2*w^2 + 5/2*w + 1]', '[94, 94, 3/2*w^2 + 11/2*w + 3]', '[94, 94, -3/2*w^2 - 1/2*w + 16]', '[94, 94, w^2 - 2*w - 1]', '[94, 94, -2*w^2 + 5*w - 3]', '[94, 94, -w^2 - 4*w + 3]', '[94, 94, -5/2*w^2 - 1/2*w + 23]', '[94, 94, -7/2*w^2 - 1/2*w + 40]', '[97, 97, 2*w + 7]', '[97, 97, -w^2 + w - 1]', '[97, 97, -w^2 - w + 15]', '[101, 101, -2*w - 1]', '[101, 101, w^2 - w - 5]', '[101, 101, w^2 + w - 9]', '[108, 6, -3*w^2 + 30]', '[108, 6, 3/2*w^2 - 9/2*w]', '[108, 6, -3/2*w^2 - 9/2*w + 3]', '[108, 12, -3/2*w^2 + 3/2*w + 18]', '[108, 12, 3*w - 9]', '[108, 12, 3/2*w^2 + 3/2*w - 3]', '[109, 109, w^2 + 3*w + 1]', '[109, 109, -2*w^2 + 23]', '[109, 109, -w^2 + 3*w - 3]', '[116, 58, w^2 - 2*w - 6]', '[116, 58, -1/2*w^2 - 5/2*w + 4]', '[116, 58, -1/2*w^2 + 5/2*w + 1]', '[116, 58, w^2 + 2*w - 6]', '[116, 58, w^2 - 2*w + 2]', '[116, 58, 3/2*w^2 + 1/2*w - 19]', '[116, 58, 3/2*w^2 - 1/2*w - 12]', '[116, 58, 3/2*w^2 + 1/2*w - 11]', '[116, 58, -1/2*w^2 - 5/2*w - 4]', '[116, 116, 1/2*w^2 + 5/2*w - 13]', '[116, 116, -3/2*w^2 - 9/2*w + 2]', '[116, 116, -3/2*w^2 - 1/2*w + 2]', '[116, 116, w^2 - 2*w - 15]', '[116, 116, -w^2 + 5]', '[116, 116, 1/2*w^2 + 3/2*w - 6]', '[116, 116, 1/2*w^2 - 3/2*w - 5]', '[116, 116, -3/2*w^2 + 9/2*w - 1]', '[116, 116, 3*w^2 - 31]', '[122, 122, -7/2*w^2 - 3/2*w + 29]', '[122, 122, -9/2*w^2 + 1/2*w + 48]', '[122, 122, 3/2*w^2 - 5/2*w - 9]', '[122, 122, 1/2*w^2 + 3/2*w - 8]', '[122, 122, 1/2*w^2 - 3/2*w - 7]', '[122, 122, 5/2*w^2 - 9/2*w - 12]', '[122, 122, w^2 - 3]', '[122, 122, 2*w^2 - w - 17]', '[122, 122, 2*w^2 - 7*w + 5]', '[124, 62, -w^2 - 4*w - 2]', '[124, 62, -3/2*w^2 + 7/2*w - 1]', '[124, 62, 5/2*w^2 + 1/2*w - 28]', '[124, 124, 3/2*w^2 + 3/2*w - 11]', '[124, 124, 3*w - 1]', '[124, 124, 3/2*w^2 - 3/2*w - 10]', '[125, 5, -5]', '[128, 8, 2*w^2 - 2*w - 16]', '[128, 8, 2*w^2 + 4*w - 8]', '[128, 8, -w^2 + 5*w - 2]', '[128, 8, 2*w^2 + 2*w - 12]', '[128, 8, 3*w^2 - w - 28]', '[128, 8, -4*w + 4]', '[128, 16, w^2 + w - 12]', '[128, 16, -w^2 + 6*w - 8]', '[128, 16, 3/2*w^2 - 1/2*w - 18]', '[128, 16, 7/2*w^2 - 3/2*w - 37]', '[128, 16, w^2 + w]', '[128, 16, -w^2 + w + 2]', '[128, 16, -2*w - 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6]', '[9952, 2488, -7*w^2 - 11*w + 38]', '[9952, 2488, -9*w^2 - 16*w + 28]', '[9952, 2488, 1/2*w^2 + 19/2*w - 23]', '[9952, 2488, 11/2*w^2 + 31/2*w - 22]', '[9952, 2488, -7*w^2 + 12*w + 40]', '[9952, 2488, -9*w^2 + 5*w + 76]', '[9952, 2488, 7/2*w^2 - 43/2*w + 23]', '[9952, 2488, -5/2*w^2 - 33/2*w + 18]', '[9952, 2488, 7*w^2 - 11*w - 36]', '[9952, 2488, -7*w^2 - 16*w + 8]', '[9952, 2488, -2*w^2 - 16*w + 10]', '[9952, 2488, -19/2*w^2 - 9/2*w + 73]', '[9952, 2488, -9/2*w^2 + 11/2*w + 46]', '[9952, 2488, -5*w^2 + 5*w + 28]', '[9952, 2488, -5*w^2 + 16*w + 8]', '[9952, 2488, -25/2*w^2 + 11/2*w + 126]', '[9952, 2488, -9/2*w^2 + 37/2*w - 21]', '[9952, 2488, -7*w^2 - 8*w + 36]', '[9952, 2488, -9*w^2 - 5*w + 74]', '[9952, 2488, 15/2*w^2 - 13/2*w - 66]', '[9952, 2488, 21/2*w^2 - 1/2*w - 95]', '[9952, 2488, 5*w^2 + 4*w - 20]', '[9952, 2488, 5*w^2 + 5*w - 42]', '[9952, 4976, 2*w^2 + 5*w + 10]', '[9952, 4976, 1/2*w^2 - 1/2*w - 25]', '[9952, 4976, 11/2*w^2 + 11/2*w - 24]', '[9952, 4976, -9/2*w^2 - 1/2*w + 12]', '[9952, 4976, 3/2*w^2 - 11/2*w + 17]', '[9952, 4976, -5/2*w^2 + 13/2*w + 35]', '[9952, 4976, 15/2*w^2 + 23/2*w - 20]', '[9952, 4976, -5/2*w^2 - 3/2*w - 7]', '[9952, 4976, -2*w^2 + 17*w - 28]', '[9952, 4976, -11*w + 20]', '[9952, 4976, -2*w^2 + 3*w + 38]', '[9952, 4976, -7/2*w^2 + 1/2*w + 50]', '[9952, 4976, 1/2*w^2 + 9/2*w - 30]', '[9952, 4976, -2*w^2 - 7*w + 36]', '[9952, 4976, 1/2*w^2 + 1/2*w + 18]', '[9952, 4976, -19/2*w^2 + 11/2*w + 101]', '[9952, 4976, 11/2*w^2 - 11/2*w - 53]', '[9952, 4976, w - 22]', '[9952, 9952, 5/2*w^2 - 25/2*w - 2]', '[9952, 9952, 1/2*w^2 + 23/2*w - 2]', '[9952, 9952, -15/2*w^2 + 5/2*w + 63]', '[9952, 9952, 6*w^2 + 5*w - 49]', '[9952, 9952, 11/2*w^2 - 13/2*w - 31]', '[9952, 9952, -3*w^2 - 6*w + 29]', '[9952, 9952, -9/2*w^2 + 3/2*w + 25]', '[9952, 9952, 5*w^2 + 10*w - 27]', '[9952, 9952, -3/2*w^2 + 15/2*w + 14]', '[9959, 9959, 20*w^2 - 2*w - 203]', '[9959, 9959, 19*w^2 - 5*w - 185]', '[9959, 9959, -11*w^2 - 3*w + 99]', '[9959, 9959, 12*w^2 + 26*w - 39]', '[9959, 9959, -10*w^2 + 89]', '[9959, 9959, -5*w^2 - 15*w + 21]', '[9959, 9959, 5*w^2 - 15*w - 11]', '[9959, 9959, -13*w^2 + 5*w + 143]', '[9959, 9959, -4*w^2 + 22*w - 33]', '[9967, 9967, 8*w^2 + 4*w - 69]', '[9967, 9967, 27*w^2 - 7*w - 267]', '[9967, 9967, -17*w^2 - 37*w + 51]', '[9974, 9974, w^2 - 8*w - 27]', '[9974, 9974, 2*w^2 + 7*w - 25]', '[9974, 9974, 6*w^2 - w - 73]', '[9974, 9974, -7/2*w^2 - 17/2*w - 4]', '[9974, 9974, 9/2*w^2 + 1/2*w - 23]', '[9974, 9974, 9/2*w^2 - 5/2*w - 8]', '[9974, 9974, -5/2*w^2 + 19/2*w - 17]', '[9974, 9974, 5/2*w^2 - 13/2*w - 24]', '[9974, 9974, 7/2*w^2 + 11/2*w - 49]', '[9986, 9986, 13/2*w^2 + 7/2*w - 44]', '[9986, 9986, 9/2*w^2 - 3/2*w - 59]', '[9986, 9986, 13/2*w^2 - 31/2*w - 15]', '[9986, 9986, -3/2*w^2 + 15/2*w - 20]', '[9986, 9986, -3*w^2 - 6*w - 5]', '[9986, 9986, 11*w^2 + 2*w - 103]', '[9986, 9986, 5*w^2 - 8*w - 35]', '[9986, 9986, 3/2*w^2 + 23/2*w - 17]', '[9986, 9986, -9/2*w^2 - 35/2*w + 12]', '[9998, 9998, -23/2*w^2 - 35/2*w + 53]', '[9998, 9998, -13/2*w^2 + 13/2*w + 56]', '[9998, 9998, 13*w - 17]', '[9998, 9998, -15/2*w^2 + 27/2*w + 40]', '[9998, 9998, -13/2*w^2 - 13/2*w + 35]', '[9998, 9998, 3*w^2 + 18*w - 19]', '[9998, 9998, -21/2*w^2 - 9/2*w + 83]', '[9998, 9998, -29/2*w^2 + 17/2*w + 132]', '[9998, 9998, -3*w^2 + 26*w - 21]'], 'label': '3.3.961.1', 'narrow_class_no': 1, 'primes': ['[2, 2, 1/2*w^2 - 1/2*w - 4]', '[2, 2, 1/2*w^2 + 1/2*w - 3]', '[2, 2, -w + 1]', '[23, 23, -w^2 + w + 7]', '[23, 23, w^2 + w - 7]', '[23, 23, -2*w + 1]', '[27, 3, 3]', '[29, 29, -w^2 - 3*w + 1]', '[29, 29, w^2 - 3*w + 1]', '[29, 29, -2*w^2 + 21]', '[31, 31, -3*w^2 + w + 31]', '[47, 47, 2*w - 3]', '[47, 47, w^2 + w - 5]', '[47, 47, w^2 - w - 9]', '[61, 61, w^2 - w - 11]', '[61, 61, -w^2 - w + 3]', '[61, 61, -2*w + 5]', '[89, 89, w^2 - w - 1]', '[89, 89, w^2 + w - 13]', '[89, 89, -2*w - 5]', '[97, 97, 2*w + 7]', '[97, 97, -w^2 + w - 1]', '[97, 97, -w^2 - w + 15]', '[101, 101, -2*w - 1]', '[101, 101, w^2 - w - 5]', '[101, 101, w^2 + w - 9]', '[109, 109, w^2 + 3*w + 1]', '[109, 109, -2*w^2 + 23]', '[109, 109, -w^2 + 3*w - 3]', '[125, 5, -5]', '[139, 139, -2*w - 3]', '[139, 139, w^2 + w - 11]', '[139, 139, w^2 - w - 3]', '[151, 151, w^2 + 3*w - 5]', '[151, 151, 2*w^2 - 17]', '[151, 151, w^2 - 3*w - 3]', '[157, 157, 4*w^2 - 39]', '[157, 157, 5*w^2 - w - 49]', '[157, 157, -2*w^2 + 6*w + 1]', '[163, 163, 3*w^2 - w - 33]', '[163, 163, w^2 - 5*w + 7]', '[163, 163, 2*w^2 + 4*w - 3]', '[233, 233, -5*w^2 + w + 53]', '[233, 233, -2*w^2 + 8*w - 7]', '[233, 233, -2*w^2 + 6*w + 3]', '[263, 263, 2*w^2 + 2*w - 11]', '[263, 263, 2*w^2 - 2*w - 17]', '[263, 263, 4*w - 5]', '[271, 271, w^2 + w + 1]', '[271, 271, w^2 - w - 15]', '[271, 271, -2*w + 9]', '[277, 277, w^2 - 5*w + 1]', '[277, 277, -3*w^2 + w + 27]', '[277, 277, 2*w^2 + 4*w - 9]', '[281, 281, 2*w^2 - 2*w + 1]', '[281, 281, -w^2 - 5*w - 5]', '[281, 281, 4*w + 13]', '[283, 283, -2*w^2 - 6*w + 3]', '[283, 283, 2*w^2 - 6*w + 1]', '[283, 283, -4*w^2 + 41]', '[311, 311, 4*w^2 - 2*w - 43]', '[311, 311, w^2 - 7*w + 11]', '[311, 311, 3*w^2 + 5*w - 7]', '[337, 337, 3*w^2 + w - 27]', '[337, 337, -w^2 - 5*w + 3]', '[337, 337, -2*w^2 + 4*w + 7]', '[343, 7, -7]', '[349, 349, 2*w^2 + 2*w - 15]', '[349, 349, -4*w + 1]', '[349, 349, 2*w^2 - 2*w - 13]', '[373, 373, w^2 - 3*w - 5]', '[373, 373, 2*w^2 - 15]', '[373, 373, w^2 + 3*w - 7]', '[401, 401, 2*w^2 - 2*w - 23]', '[401, 401, -4*w + 11]', '[401, 401, -2*w^2 - 2*w + 5]', '[419, 419, -w^2 + 7*w - 7]', '[419, 419, -4*w^2 + 2*w + 39]', '[419, 419, -3*w^2 - 5*w + 11]', '[433, 433, -4*w^2 + 4*w + 31]', '[433, 433, -4*w^2 - 4*w + 25]', '[433, 433, -3*w^2 - w + 37]', '[449, 449, -4*w^2 + 45]', '[449, 449, 2*w^2 + 6*w + 1]', '[449, 449, -2*w^2 + 6*w - 5]', '[457, 457, 4*w + 11]', '[457, 457, 2*w^2 - 2*w - 1]', '[457, 457, -2*w^2 - 2*w + 27]', '[461, 461, 2*w^2 + 2*w - 9]', '[461, 461, 4*w - 7]', '[461, 461, 2*w^2 - 2*w - 19]', '[463, 463, -w^2 + 3*w - 5]', '[463, 463, -2*w^2 + 25]', '[463, 463, -w^2 - 3*w - 3]', '[467, 467, w^2 + w - 17]', '[467, 467, -w^2 + w - 3]', '[467, 467, -2*w - 9]', '[523, 523, 2*w^2 - 2*w - 21]', '[523, 523, -2*w^2 - 2*w + 7]', '[523, 523, 4*w - 9]', '[557, 557, -4*w^2 - 8*w + 15]', '[557, 557, 2*w^2 - 10*w + 5]', '[557, 557, -6*w^2 + 2*w + 57]', '[587, 587, 5*w^2 + 13*w - 9]', '[587, 587, -4*w^2 + 14*w - 7]', '[587, 587, 9*w^2 - w - 93]', '[593, 593, 4*w^2 - 2*w - 35]', '[593, 593, w^2 - 7*w + 3]', '[593, 593, -3*w^2 - 5*w + 15]', '[619, 619, 2*w^2 - 13]', '[619, 619, w^2 + 3*w - 9]', '[619, 619, w^2 - 3*w - 7]', '[643, 643, 3*w^2 + w - 23]', '[643, 643, w^2 + 5*w - 7]', '[643, 643, 2*w^2 - 4*w - 11]', '[647, 647, w^2 + 5*w - 1]', '[647, 647, 2*w^2 - 4*w - 5]', '[647, 647, 3*w^2 + w - 29]', '[653, 653, 2*w^2 + 4*w - 1]', '[653, 653, 3*w^2 - w - 35]', '[653, 653, w^2 - 5*w + 9]', '[659, 659, -2*w^2 + 8*w - 1]', '[659, 659, -3*w^2 - 7*w + 11]', '[659, 659, 5*w^2 - w - 47]', '[683, 683, 2*w^2 + 4*w - 11]', '[683, 683, 3*w^2 - w - 25]', '[683, 683, w^2 - 5*w - 1]', '[709, 709, 7*w^2 + 17*w - 19]', '[709, 709, -2*w^2 + 10*w - 13]', '[709, 709, 9*w^2 - w - 91]', '[743, 743, 3*w^2 + 3*w - 17]', '[743, 743, 3*w^2 - 3*w - 25]', '[743, 743, 6*w - 7]', '[773, 773, -2*w^2 + 4*w + 3]', '[773, 773, 3*w^2 + w - 31]', '[773, 773, w^2 + 5*w + 1]', '[821, 821, -8*w + 5]', '[821, 821, -4*w^2 + 4*w + 29]', '[821, 821, -4*w^2 - 4*w + 27]', '[829, 829, -6*w^2 + 4*w + 53]', '[829, 829, -4*w^2 - 2*w + 51]', '[829, 829, 4*w^2 + 2*w - 49]', '[839, 839, -2*w^2 - 6*w + 9]', '[839, 839, -2*w^2 + 6*w + 5]', '[839, 839, 4*w^2 - 35]', '[853, 853, -5*w^2 + 5*w + 37]', '[853, 853, -5*w^2 - 5*w + 33]', '[853, 853, -5*w^2 + 3*w + 43]', '[883, 883, 2*w^2 - 5]', '[883, 883, w^2 - 3*w - 15]', '[883, 883, w^2 + 3*w - 17]', '[907, 907, -5*w^2 + w + 55]', '[907, 907, -3*w^2 - 7*w + 3]', '[907, 907, -2*w^2 + 8*w - 9]', '[929, 929, 2*w^2 - 2*w - 9]', '[929, 929, -4*w - 3]', '[929, 929, 2*w^2 + 2*w - 19]', '[953, 953, -2*w^2 + 12*w - 19]', '[953, 953, 7*w^2 - 3*w - 77]', '[953, 953, 5*w^2 + 9*w - 9]', '[977, 977, -3*w^2 + 11*w - 1]', '[977, 977, -4*w^2 - 10*w + 13]', '[977, 977, 7*w^2 - w - 67]', '[991, 991, w^2 - 3*w - 11]', '[991, 991, 2*w^2 - 9]', '[991, 991, w^2 + 3*w - 13]']}
28. label: 3.3.1016.1
    {'degree': 3, 'discriminant': 1016, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w - 3]', '[3, 3, w^2 - w - 5]', '[4, 2, -w^2 - 2*w]', '[4, 2, -w^2 + w + 6]', '[4, 4, -w + 1]', '[6, 6, w + 1]', '[6, 6, w - 2]', '[8, 2, 2]', '[8, 4, w^2 - 2*w - 2]', '[8, 4, w^2 + w - 2]', '[8, 8, -2*w^2 + w + 13]', '[9, 3, w^2 + w - 1]', '[9, 9, -w^2 - w + 3]', '[12, 6, w^2 + w]', '[12, 6, -w^2 + 4]', '[12, 12, w^2 - 2*w - 3]', '[13, 13, 2*w^2 - 2*w - 11]', '[16, 4, 2*w]', '[16, 4, -w^2 + 6]', '[16, 4, 2*w - 6]', '[16, 8, -w^2 + w + 4]', '[16, 16, -w - 3]', '[18, 6, -2*w^2 + w + 14]', '[18, 6, -w^2 + 2*w + 1]', '[18, 18, -2*w^2 - 3*w + 2]', '[18, 18, w^2 - 7]', '[24, 6, 2*w^2 - 2*w - 10]', '[24, 12, -w^2 + w + 8]', '[24, 12, -w^2 - 2*w + 2]', '[24, 24, -w^2 + 1]', '[26, 26, -w^2 + 3]', '[26, 26, w - 4]', '[27, 3, 3]', '[27, 27, -w^2 + 3*w + 1]', '[29, 29, -w^2 - 3*w - 1]', '[29, 29, -w^2 + w + 3]', '[29, 29, 2*w - 5]', '[31, 31, -w^2 + w + 1]', '[32, 4, -2*w^2 - 4*w]', '[32, 4, -2*w^2 + 2*w + 12]', '[32, 8, -w^2 + 2]', '[32, 8, -2*w + 2]', '[32, 16, -w^2 - 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5]', '[1931, 1931, 3*w^2 + 5*w - 11]', '[1934, 1934, 4*w^2 - w - 12]', '[1934, 1934, -w^2 + 10*w + 25]', '[1934, 1934, 3*w^2 - 12*w - 1]', '[1934, 1934, 5*w^2 + 12*w + 5]', '[1934, 1934, 6*w^2 - w - 36]', '[1934, 1934, 6*w^2 - w - 42]', '[1937, 1937, -24*w^2 + 18*w + 143]', '[1942, 1942, -9*w^2 + 22*w + 9]', '[1942, 1942, -8*w^2 - 7*w + 21]', '[1942, 1942, 7*w^2 - 2*w - 47]', '[1942, 1942, 13*w - 6]', '[1942, 1942, 2*w^2 - 3*w - 22]', '[1942, 1942, -8*w^2 - 11*w + 10]', '[1943, 1943, 2*w^2 - 6*w - 13]', '[1943, 1943, -10*w^2 - 14*w + 15]', '[1943, 1943, -w^2 - 3*w + 21]', '[1944, 18, 6*w^2 + 6*w - 6]', '[1944, 36, 3*w^2 - 6*w + 6]', '[1944, 36, -3*w^2 - 3*w + 30]', '[1944, 54, -6*w^2 - 6*w + 18]', '[1944, 72, 3*w^2 - 6*w - 21]', '[1944, 108, 3*w^2 - 6*w - 18]', '[1944, 108, -9*w^2 + 21*w + 12]', '[1944, 216, 3*w - 15]', '[1944, 486, -4*w^2 + 10]', '[1944, 972, -7*w^2 - 15*w - 2]', '[1944, 972, -w^2 + 6*w - 14]', '[1944, 1944, -10*w^2 + 9*w + 61]', '[1948, 974, w^2 + 8*w + 8]', '[1948, 974, 13*w^2 - 7*w - 88]', '[1948, 974, 21*w^2 - 13*w - 126]', '[1948, 974, -15*w^2 - 22*w + 24]', '[1948, 974, w^2 + 5*w - 12]', '[1948, 974, -7*w^2 + 18*w + 8]', '[1948, 1948, -3*w - 13]', '[1948, 1948, 5*w^2 - 10*w - 7]', '[1948, 1948, 2*w^2 + 9*w + 5]', '[1949, 1949, 5*w^2 + w - 17]', '[1952, 244, -2*w^2 - 4*w + 24]', '[1952, 244, 2*w^2 - 6*w - 16]', '[1952, 488, 7*w^2 + 8*w - 6]', '[1952, 488, -8*w^2 - 10*w + 18]', '[1952, 976, 19*w^2 - 13*w - 114]', '[1952, 1952, w - 13]', '[1954, 1954, -3*w^2 - 4*w + 13]', '[1954, 1954, 2*w^2 - w - 22]', '[1954, 1954, -7*w + 10]', '[1954, 1954, 4*w^2 - 9*w - 12]', '[1954, 1954, -6*w^2 - 3*w + 19]', '[1954, 1954, 15*w^2 - 22*w - 59]', '[1959, 1959, -4*w^2 + 2*w + 33]', '[1962, 654, -2*w^2 + 7*w + 8]', '[1962, 654, -4*w^2 + 17*w - 11]', '[1962, 654, -7*w^2 - 22*w + 7]', '[1962, 654, 2*w^2 - 19*w + 7]', '[1962, 654, 10*w^2 - 11*w - 52]', '[1962, 654, 4*w^2 - 23*w + 8]', '[1962, 1962, 6*w^2 + 13*w - 8]', '[1962, 1962, 4*w^2 - w - 5]', '[1962, 1962, 7*w^2 + 12*w - 1]', '[1962, 1962, -6*w^2 + 7*w + 25]', '[1962, 1962, 4*w^2 - 13*w + 10]', '[1962, 1962, 4*w^2 - 3*w - 4]', '[1964, 982, -w^2 - 9*w - 12]', '[1964, 982, -3*w^2 - 2*w + 20]', '[1964, 1964, 9*w^2 + 20*w - 9]', '[1966, 1966, 10*w^2 - 9*w - 62]', '[1966, 1966, w^2 + 6*w - 9]', '[1971, 219, -6*w^2 + 6*w + 27]', '[1971, 219, 18*w^2 + 30*w - 21]', '[1971, 219, 9*w^2 - 9*w - 51]', '[1971, 1971, 9*w^2 + 13*w - 11]', '[1971, 1971, 2*w^2 + 6*w - 35]', '[1971, 1971, w^2 - 11*w + 21]', '[1973, 1973, 8*w^2 - 8*w - 51]', '[1977, 1977, -9*w^2 + 7*w + 49]', '[1982, 1982, -7*w - 6]', '[1982, 1982, -7*w^2 + 10*w + 31]', '[1982, 1982, 2*w^2 + 3*w + 6]', '[1982, 1982, -9*w^2 + 2*w + 69]', '[1982, 1982, -4*w^2 - 5*w - 2]', '[1982, 1982, 12*w^2 + 19*w - 13]', '[1983, 1983, -8*w^2 + 10*w + 39]', '[1984, 124, -4*w^2 + 4*w + 4]', '[1984, 248, -6*w^2 + 4*w + 44]', '[1984, 248, 11*w^2 - 12*w - 54]', '[1984, 248, -6*w^2 - 10*w]', '[1984, 496, -6*w^2 + 8*w + 30]', '[1984, 992, 5*w^2 + w - 26]', '[1984, 1984, -2*w^2 - 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29]', '[9927, 3309, -4*w^2 + 8*w + 43]', '[9927, 9927, -5*w^2 + 11*w + 25]', '[9929, 9929, 18*w^2 - 16*w - 113]', '[9931, 9931, 5*w^2 - 9*w - 49]', '[9931, 9931, 18*w^2 - 12*w - 121]', '[9931, 9931, 4*w^2 + 6*w + 9]', '[9932, 4966, 9*w^2 - 6*w - 68]', '[9932, 4966, 7*w^2 - 7*w - 6]', '[9932, 9932, -2*w^2 - 19*w + 69]', '[9941, 9941, -6*w - 23]', '[9942, 9942, -7*w^2 - 22*w + 3]', '[9942, 9942, 10*w^2 + 3*w - 46]', '[9946, 9946, w^2 + 6*w + 19]', '[9946, 9946, -4*w^2 + 5*w - 10]', '[9946, 9946, 10*w^2 - w - 43]', '[9946, 9946, 8*w^2 - 11*w - 24]', '[9946, 9946, -19*w^2 + 32*w + 65]', '[9946, 9946, -6*w^2 + w + 54]', '[9947, 203, 7*w^2 + 21*w + 7]', '[9947, 203, 7*w^2 - 7*w - 21]', '[9947, 203, -14*w + 35]', '[9949, 9949, -12*w^2 - 32*w + 9]', '[9949, 9949, 10*w^2 - 18*w - 35]', '[9949, 9949, 14*w^2 - 10*w - 97]', '[9951, 9951, -10*w^2 - 6*w + 97]', '[9951, 9951, 8*w^2 + 4*w - 19]', '[9951, 9951, -21*w^2 + 19*w + 121]', '[9953, 9953, -2*w^2 - 12*w + 13]', '[9957, 9957, -w^2 - 13*w - 15]', '[9958, 9958, -4*w^2 + 11*w + 20]', '[9958, 9958, 9*w^2 + 12*w - 23]', '[9967, 9967, 8*w^2 + 22*w + 3]', '[9969, 9969, 10*w^2 - 4*w - 47]', '[9969, 9969, -16*w^2 + 12*w + 109]', '[9969, 9969, 13*w^2 + w - 63]', '[9971, 767, 7*w^2 - 5*w - 23]', '[9971, 9971, w^2 + 9*w - 39]', '[9974, 9974, -30*w^2 + 69*w + 47]', '[9974, 9974, -11*w^2 - 6*w + 43]', '[9974, 9974, -9*w^2 - 4*w + 27]', '[9974, 9974, -6*w^2 + 27*w - 16]', '[9974, 9974, 8*w^2 - 11*w - 48]', '[9974, 9974, 2*w^2 + w - 32]', '[9976, 2494, 22*w^2 + 46*w - 2]', '[9976, 2494, -8*w^2 + 8*w + 30]', '[9976, 2494, 6*w^2 + 6*w - 26]', '[9976, 4988, 9*w^2 + 6*w - 22]', '[9976, 4988, -w^2 - 9*w - 22]', '[9976, 4988, 11*w^2 + 29*w + 8]', '[9976, 4988, 19*w^2 - 17*w - 122]', '[9976, 4988, 19*w^2 + 38*w - 18]', '[9976, 4988, -7*w^2 + 14*w + 26]', '[9976, 9976, 23*w^2 - 16*w - 151]', '[9976, 9976, 4*w^2 + 9*w - 17]', '[9976, 9976, -23*w^2 - 34*w + 33]', '[9978, 9978, 12*w^2 + 23*w - 16]', '[9978, 9978, -10*w^2 + 13*w + 38]', '[9978, 9978, 22*w^2 - 15*w - 145]', '[9978, 9978, -12*w^2 + 11*w + 59]', '[9978, 9978, 2*w^2 - 5*w - 31]', '[9978, 9978, -32*w^2 + 27*w + 182]', '[9983, 9983, 7*w^2 - 7*w - 57]', '[9984, 312, 4*w^2 - 12*w - 16]', '[9984, 312, 4*w^2 - 24*w + 32]', '[9984, 624, 10*w^2 - 4]', '[9984, 624, w^2 - 4*w - 26]', '[9984, 624, -8*w^2 - 12*w + 20]', '[9984, 1248, 22*w^2 - 18*w - 124]', '[9984, 2496, -4*w^2 + 14*w - 18]', '[9984, 4992, -7*w^2 - w + 12]', '[9984, 9984, 11*w^2 + 2*w - 93]', '[9986, 9986, -10*w^2 + 19*w - 8]', '[9986, 9986, -22*w^2 + 61*w + 7]', '[9987, 9987, -31*w^2 + 25*w + 179]', '[9991, 9991, -12*w^2 + 26*w + 27]', '[9992, 2498, -8*w^2 + 12*w + 58]', '[9992, 4996, -5*w^2 - 15*w + 12]', '[9992, 4996, 11*w^2 - 2*w - 78]', '[9992, 9992, 13*w^2 - 18*w - 51]', '[9993, 9993, -9*w^2 - 7*w + 95]', '[9997, 9997, -9*w^2 + w + 75]', '[9998, 9998, -23*w^2 + 24*w + 121]', '[9998, 9998, -18*w^2 - 25*w + 28]', '[9998, 9998, 12*w^2 + 33*w + 13]', '[9998, 9998, -2*w^2 - 3*w - 14]', '[9998, 9998, 24*w^2 - 13*w - 149]', '[9998, 9998, 8*w^2 + 5*w - 34]'], 'label': '3.3.1016.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w]', '[2, 2, w - 3]', '[3, 3, w^2 - w - 5]', '[9, 3, w^2 + w - 1]', '[13, 13, 2*w^2 - 2*w - 11]', '[29, 29, -w^2 - 3*w - 1]', '[29, 29, -w^2 + w + 3]', '[29, 29, 2*w - 5]', '[31, 31, -w^2 + w + 1]', '[37, 37, -2*w - 1]', '[43, 43, -2*w - 3]', '[47, 47, 2*w - 3]', '[59, 59, 4*w^2 + 8*w - 1]', '[61, 61, -w^2 - w - 1]', '[67, 67, w^2 + w - 5]', '[71, 71, w^2 - w - 9]', '[73, 73, -2*w^2 + 2*w + 9]', '[73, 73, 6*w^2 + 10*w - 7]', '[73, 73, 3*w^2 - 3*w - 17]', '[79, 79, -2*w^2 + 2*w + 15]', '[83, 83, -2*w^2 - 4*w + 3]', '[89, 89, -3*w^2 + 7*w + 5]', '[97, 97, w^2 + 3*w + 3]', '[103, 103, -3*w^2 - 3*w + 7]', '[107, 107, 3*w^2 - 3*w - 19]', '[107, 107, 2*w^2 - 15]', '[107, 107, -4*w^2 - 6*w + 5]', '[109, 109, w^2 + 5*w - 1]', '[109, 109, w^2 - 3*w - 3]', '[109, 109, 6*w^2 + 12*w - 5]', '[125, 5, -5]', '[127, 127, w^2 + 3*w - 3]', '[127, 127, 2*w^2 + 4*w + 1]', '[137, 137, -4*w^2 + 6*w + 15]', '[139, 139, -3*w^2 + w + 15]', '[149, 149, 2*w^2 - 13]', '[157, 157, -2*w^2 + 7]', '[169, 13, 2*w^2 + 6*w - 1]', '[173, 173, 2*w^2 + 2*w - 7]', '[173, 173, -2*w^2 - 6*w + 3]', '[173, 173, -3*w^2 - 5*w + 5]', '[191, 191, 2*w^2 - 4*w - 7]', '[193, 193, 6*w^2 - 4*w - 35]', '[197, 197, -3*w^2 + 5*w + 9]', '[199, 199, w^2 - 3*w - 5]', '[211, 211, w^2 + 5*w + 5]', '[211, 211, 3*w^2 - w - 23]', '[211, 211, w^2 - 3*w - 9]', '[229, 229, -w^2 + w - 3]', '[229, 229, w^2 - 7*w + 11]', '[229, 229, w^2 + 5*w - 3]', '[233, 233, 7*w^2 - 5*w - 41]', '[241, 241, 2*w^2 - 3]', '[257, 257, -2*w - 7]', '[263, 263, 4*w^2 - 4*w - 25]', '[269, 269, 2*w^2 - 2*w - 5]', '[271, 271, 5*w^2 + 11*w - 1]', '[281, 281, 3*w^2 + 3*w - 5]', '[283, 283, 2*w^2 - 2*w - 3]', '[307, 307, 3*w^2 - 3*w - 13]', '[313, 313, w^2 + 3*w - 5]', '[331, 331, 4*w - 9]', '[337, 337, 2*w^2 + 4*w - 5]', '[343, 7, -7]', '[347, 347, 4*w^2 - 2*w - 29]', '[353, 353, -4*w - 3]', '[353, 353, 5*w^2 - 5*w - 33]', '[353, 353, 2*w^2 - 2*w - 17]', '[367, 367, 2*w - 9]', '[379, 379, -4*w^2 + 4*w + 19]', '[383, 383, -4*w - 5]', '[389, 389, 2*w^2 + 6*w + 5]', '[397, 397, 4*w - 7]', '[401, 401, 4*w - 13]', '[409, 409, -4*w^2 + 8*w + 11]', '[421, 421, 9*w^2 - 5*w - 57]', '[421, 421, 4*w^2 - 6*w - 17]', '[421, 421, 5*w^2 - 5*w - 29]', '[431, 431, -6*w^2 + 10*w + 21]', '[463, 463, 5*w^2 - 3*w - 27]', '[467, 467, 3*w^2 + w - 9]', '[479, 479, 3*w^2 - 5*w - 7]', '[487, 487, 3*w^2 - 5*w - 13]', '[487, 487, 4*w^2 - 21]', '[487, 487, 3*w^2 - 3*w - 1]', '[491, 491, -5*w^2 - 9*w + 1]', '[499, 499, -7*w^2 - 11*w + 7]', '[503, 503, 3*w^2 + 5*w + 1]', '[509, 509, 4*w^2 - 17]', '[521, 521, 3*w^2 + w - 3]', '[521, 521, 2*w^2 + 4*w + 3]', '[521, 521, 4*w^2 + 10*w + 1]', '[523, 523, -3*w^2 - w + 15]', '[523, 523, -10*w^2 - 20*w + 3]', '[523, 523, 3*w^2 + 7*w + 3]', '[547, 547, 8*w^2 - 4*w - 55]', '[557, 557, 3*w^2 - 3*w - 11]', '[563, 563, 8*w^2 - 4*w - 49]', '[571, 571, 6*w^2 + 14*w + 1]', '[587, 587, -2*w^2 + 2*w - 3]', '[587, 587, 7*w^2 - 5*w - 47]', '[587, 587, -w^2 + w - 5]', '[593, 593, 2*w^2 - 4*w - 13]', '[601, 601, -4*w^2 - 10*w + 5]', '[607, 607, 2*w^2 + 8*w - 1]', '[617, 617, -5*w^2 - 9*w + 7]', '[619, 619, w^2 - w - 13]', '[631, 631, 6*w^2 - 4*w - 33]', '[631, 631, -4*w - 11]', '[631, 631, 3*w^2 - w - 11]', '[641, 641, -6*w - 1]', '[653, 653, 3*w^2 + w - 7]', '[659, 659, -2*w - 9]', '[661, 661, w^2 + 3*w - 9]', '[673, 673, 3*w^2 + 3*w + 1]', '[673, 673, 2*w^2 - 12*w + 17]', '[673, 673, 6*w - 5]', '[677, 677, -4*w^2 - 4*w + 5]', '[683, 683, 3*w^2 - 5*w - 3]', '[691, 691, 3*w^2 + 9*w - 1]', '[709, 709, 3*w^2 + 3*w - 11]', '[719, 719, 6*w^2 + 14*w + 3]', '[727, 727, -7*w^2 + 15*w + 15]', '[727, 727, 14*w^2 + 24*w - 13]', '[727, 727, w^2 + 3*w - 11]', '[733, 733, 3*w^2 + w - 25]', '[739, 739, 5*w^2 - 7*w - 19]', '[739, 739, -6*w^2 - 8*w + 9]', '[739, 739, -w^2 + 3*w - 7]', '[751, 751, -w^2 - 5*w + 21]', '[751, 751, w^2 - 9*w + 1]', '[751, 751, 3*w^2 - w - 3]', '[757, 757, 6*w^2 - 6*w - 35]', '[761, 761, 2*w^2 + 2*w - 19]', '[769, 769, w^2 - 5*w - 5]', '[773, 773, -2*w^2 - 3]', '[797, 797, 4*w^2 + 2*w - 3]', '[823, 823, -6*w^2 - 10*w + 9]', '[827, 827, 7*w^2 + 17*w + 3]', '[857, 857, 9*w^2 + 19*w - 3]', '[859, 859, 8*w^2 - 6*w - 45]', '[863, 863, 14*w^2 + 24*w - 15]', '[863, 863, 2*w^2 + 2*w - 13]', '[863, 863, 8*w^2 + 12*w - 13]', '[877, 877, -4*w^2 + 23]', '[881, 881, -10*w^2 - 16*w + 11]', '[911, 911, w^2 - 3*w - 15]', '[919, 919, -7*w^2 + 13*w + 19]', '[929, 929, -w^2 - 7*w - 1]', '[937, 937, 3*w^2 - 3*w - 7]', '[941, 941, 3*w^2 + 9*w + 1]', '[947, 947, 12*w^2 - 10*w - 71]', '[961, 31, 5*w^2 - 3*w - 25]', '[967, 967, 6*w^2 - 2*w - 37]', '[967, 967, 18*w^2 - 12*w - 109]', '[967, 967, -8*w^2 + 18*w + 13]', '[971, 971, 3*w^2 - 3*w - 5]', '[971, 971, 11*w^2 - 9*w - 69]', '[971, 971, 8*w - 5]', '[977, 977, 6*w^2 - 2*w - 45]', '[977, 977, 11*w^2 - 9*w - 67]', '[977, 977, -5*w^2 + 5*w + 23]', '[983, 983, -2*w^2 - 4*w + 29]', '[991, 991, 3*w^2 - 3*w - 25]', '[991, 991, w^2 - 5*w - 11]', '[991, 991, -3*w^2 + 5*w + 21]', '[997, 997, 5*w^2 + 13*w + 3]', '[997, 997, 19*w^2 - 15*w - 113]', '[997, 997, -w^2 - 3*w - 7]']}
29. label: 3.3.1076.1
    {'degree': 3, 'discriminant': 1076, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 2]', '[3, 3, -w^2 + 2*w + 3]', '[4, 2, w^2 - 2*w - 4]', '[6, 6, w]', '[7, 7, -2*w^2 + 5*w + 5]', '[8, 2, 2]', '[9, 3, -w^2 + 5]', '[9, 9, -w - 3]', '[12, 6, -w^2 + 6]', '[13, 13, -w^2 + 3*w + 1]', '[13, 13, 2*w + 5]', '[13, 13, w - 1]', '[14, 14, -w + 2]', '[16, 4, -2*w - 4]', '[17, 17, w^2 - w - 5]', '[18, 6, w^2 - 3*w - 2]', '[18, 18, -w^2 + 3*w]', '[19, 19, w^2 - 2*w - 5]', '[21, 21, -w^2 + w + 9]', '[24, 6, -2*w^2 + 4*w + 6]', '[26, 26, -w^2 - w + 2]', '[26, 26, -w^2 + w + 4]', '[26, 26, -w + 4]', '[27, 3, 3]', '[27, 27, w^2 - w - 3]', '[28, 14, w^2 - 4]', '[29, 29, w^2 - 7]', '[31, 31, 2*w^2 - 3*w - 11]', '[32, 4, 2*w^2 - 4*w - 8]', '[34, 34, -w^2 - w + 4]', '[36, 6, w^2 - 8]', '[36, 18, -w^2 + 2*w + 6]', '[38, 38, w + 4]', '[39, 39, -w^2 + 3]', '[39, 39, 3*w^2 - 7*w - 9]', '[39, 39, -w^2 + 2*w + 9]', '[42, 42, w^2 - 3*w - 12]', '[48, 12, 2*w]', '[49, 7, -2*w^2 - 4*w + 1]', '[49, 49, w^2 - 2*w - 7]', '[51, 51, -2*w^2 + 5*w + 3]', '[52, 26, w^2 + 2*w - 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33]', '[1893, 1893, -2*w^2 + 9*w + 3]', '[1893, 1893, 2*w^2 - 3*w + 3]', '[1894, 1894, -6*w^2 + w + 32]', '[1896, 474, 10*w^2 - 24*w - 30]', '[1896, 474, 4*w^2 - 10*w - 18]', '[1896, 474, 14*w^2 - 30*w - 42]', '[1897, 1897, -17*w^2 + 42*w + 47]', '[1898, 1898, 6*w^2 + w - 28]', '[1898, 1898, 10*w^2 - 7*w - 80]', '[1898, 1898, 7*w^2 + w - 34]', '[1898, 1898, 7*w^2 - 5*w - 44]', '[1898, 1898, -3*w - 14]', '[1898, 1898, 7*w^2 - 19*w - 14]', '[1898, 1898, -9*w - 16]', '[1898, 1898, -7*w^2 + 13*w + 20]', '[1898, 1898, 5*w^2 + 9*w - 2]', '[1901, 1901, 3*w^2 - 8*w + 1]', '[1902, 1902, 11*w + 12]', '[1904, 476, 6*w^2 - 10*w - 32]', '[1906, 1906, -3*w^2 + 5*w + 32]', '[1911, 273, 4*w^2 - 13*w - 51]', '[1911, 273, -5*w^2 + 4*w + 27]', '[1911, 273, 4*w^2 - 13*w - 9]', '[1911, 1911, 8*w^2 - 19*w - 15]', '[1911, 1911, 4*w^2 - 6*w - 39]', '[1911, 1911, 2*w^2 + 4*w - 9]', '[1916, 958, -w^2 + 4*w + 20]', '[1917, 213, -6*w + 21]', '[1917, 1917, 9*w^2 - 17*w - 33]', '[1918, 1918, 5*w^2 - 7*w - 20]', '[1919, 1919, 6*w^2 - 19*w - 1]', '[1921, 1921, 21*w^2 - 48*w - 59]', '[1922, 62, -11*w^2 + 25*w + 34]', '[1922, 1922, -w^2 + 3*w - 8]', '[1923, 1923, 4*w^2 - 7*w - 27]', '[1923, 1923, -9*w^2 + 10*w + 69]', '[1923, 1923, -7*w^2 + 19*w + 15]', '[1926, 642, 7*w^2 - 9*w - 56]', '[1926, 1926, -4*w^2 - w + 24]', '[1928, 482, 8*w^2 - 2*w - 50]', '[1931, 1931, 3*w^2 - 4*w - 31]', '[1933, 1933, -2*w^2 - 2*w + 29]', '[1934, 1934, -5*w^2 - 11*w + 4]', '[1937, 1937, -4*w^2 + 2*w + 17]', '[1937, 1937, -5*w^2 + 11*w + 7]', '[1937, 1937, 13*w^2 - 28*w - 37]', '[1937, 1937, -18*w^2 + 43*w + 41]', '[1937, 1937, -3*w^2 - 10*w - 1]', '[1937, 1937, 12*w^2 - 27*w - 37]', '[1937, 1937, 2*w^2 + 7*w + 11]', '[1937, 1937, -3*w^2 - 6*w + 7]', '[1937, 1937, -2*w^2 + 7*w + 17]', '[1938, 1938, -3*w^2 + 7*w]', '[1939, 1939, w^2 - 3*w - 19]', '[1941, 1941, -w^2 + 4*w - 9]', '[1944, 18, -6*w^2 + 30]', '[1944, 54, -6*w - 18]', '[1944, 486, -6*w^2 + 2*w + 42]', '[1946, 1946, 6*w^2 - 7*w - 52]', '[1949, 1949, 5*w^2 - w - 35]', '[1949, 1949, 6*w^2 - 11*w - 29]', '[1949, 1949, 3*w^2 + w - 23]', '[1951, 1951, w^2 + 5*w - 5]', '[1953, 651, 4*w^2 - 12*w + 1]', '[1953, 1953, -w^2 + 12*w - 27]', '[1954, 1954, 5*w^2 - 7*w - 14]', '[1954, 1954, 4*w^2 - 3*w - 16]', '[1954, 1954, 9*w + 14]', '[1956, 978, -5*w^2 + 6*w + 6]', '[1962, 654, 4*w^2 - 9*w - 20]', '[1962, 1962, -8*w^2 + 11*w + 42]', '[1967, 1967, 19*w^2 - 46*w - 47]', '[1971, 219, 3*w^2 - 9*w - 39]', '[1971, 219, 6*w^2 - 6*w - 51]', '[1971, 219, -3*w^2 - 12*w - 15]', '[1971, 1971, -4*w^2 - 2*w + 21]', '[1971, 1971, -5*w^2 - 4*w + 15]', '[1971, 1971, -5*w^2 + 3*w + 27]', '[1972, 986, 5*w^2 - 12*w - 20]', '[1973, 1973, w^2 - 7*w + 7]', '[1976, 494, 2*w^2 - 8*w - 26]', '[1976, 494, -6*w^2 + 10*w + 22]', '[1976, 494, -16*w^2 + 34*w + 50]', '[1977, 1977, -4*w^2 + 2*w + 9]', '[1977, 1977, -3*w^2 + 10*w + 15]', '[1977, 1977, w^2 + 2*w + 9]', '[1981, 1981, -5*w^2 + w + 25]', '[1981, 1981, -7*w^2 + 20*w + 23]', '[1981, 1981, 9*w^2 - 19*w - 19]', '[1982, 1982, 7*w^2 - 13*w - 22]', '[1983, 1983, -11*w^2 + 28*w + 27]', '[1984, 124, 8*w^2 - 12*w - 44]', '[1986, 1986, -5*w^2 + 15*w + 6]', '[1986, 1986, -13*w^2 + 29*w + 30]', '[1986, 1986, 6*w^2 - 13*w - 24]', '[1987, 1987, -7*w^2 + 14*w + 29]', '[1988, 994, 7*w^2 - 8*w - 40]', '[1989, 663, 2*w^2 - 6*w + 5]', '[1989, 663, -5*w^2 + 31]', '[1989, 663, -4*w^2 + 3*w + 11]', '[1989, 1989, 5*w^2 - 9*w - 27]', '[1989, 1989, 2*w^2 - 7*w - 21]', '[1989, 1989, 7*w^2 - 13*w - 21]', '[1992, 498, 6*w^2 - 10*w - 54]', '[1993, 1993, 8*w^2 - 3*w - 53]', '[1996, 998, -5*w^2 + 4*w + 44]', '[1997, 1997, -w^2 - 4*w + 25]', '[1999, 1999, -w^2 - 4*w - 11]', '[2000, 20, 10*w + 20]', '[2004, 1002, 7*w^2 + 4*w - 30]', '[2006, 2006, 6*w^2 - 17*w - 10]', '[2007, 669, w^2 - 6*w - 23]', '[2007, 2007, -4*w^2 - 3*w + 9]', '[2008, 502, 12*w + 26]', '[2011, 2011, 3*w^2 - 11*w + 1]', '[2012, 1006, -15*w^2 + 32*w + 46]', '[2016, 84, 10*w^2 - 24*w - 20]', '[2016, 252, -6*w^2 - 8*w + 12]', '[2017, 2017, -12*w^2 + 31*w + 23]', '[2018, 2018, -2*w^2 + 5*w - 4]', '[2018, 2018, -5*w^2 - w + 28]', '[2018, 2018, -w^2 + 7*w - 2]', '[2019, 2019, w^2 + 4*w - 9]', '[2022, 2022, -2*w^2 + 7*w + 18]', '[2023, 119, -13*w^2 + 32*w + 37]', '[2023, 2023, -6*w^2 - 4*w + 25]', '[2026, 2026, 6*w^2 - 7*w - 32]', '[2028, 78, 5*w^2 - 8*w - 48]', '[2028, 78, 5*w^2 - 12*w - 6]', '[2028, 78, -w^2 - 4*w + 18]', '[2028, 1014, -13*w^2 + 28*w + 36]', '[2028, 1014, 3*w^2 + 4*w - 12]', '[2028, 1014, -3*w^2 - 2*w + 18]', '[2029, 2029, -7*w^2 + 9*w + 61]', '[2031, 2031, 4*w^2 - 15]', '[2033, 2033, -6*w^2 - 5*w + 19]', '[2034, 678, 8*w^2 - 9*w - 58]', '[2034, 2034, -3*w^2 - w + 24]', '[2036, 1018, -5*w^2 - 14*w - 2]', '[2038, 2038, 4*w^2 - 7*w - 32]', '[2038, 2038, -7*w^2 + 11*w + 38]', '[2038, 2038, 4*w^2 - 7*w - 28]', '[2039, 2039, 5*w^2 - 6*w - 23]', '[2041, 2041, w^2 + 5*w - 23]', '[2041, 2041, w^2 - 8*w - 19]', '[2041, 2041, 4*w^2 - 8*w - 23]', '[2043, 681, -4*w^2 + 29]', '[2043, 2043, 3*w^2 - 7*w - 21]', '[2044, 1022, -9*w^2 + 4*w + 56]', '[2044, 1022, 9*w^2 - 18*w - 28]', '[2044, 1022, 15*w^2 - 32*w - 38]', '[2048, 16, 8*w^2 - 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2]', '[3, 3, -w^2 + 2*w + 3]', '[7, 7, -2*w^2 + 5*w + 5]', '[9, 3, -w^2 + 5]', '[13, 13, -w^2 + 3*w + 1]', '[13, 13, 2*w + 5]', '[13, 13, w - 1]', '[17, 17, w^2 - w - 5]', '[19, 19, w^2 - 2*w - 5]', '[29, 29, w^2 - 7]', '[31, 31, 2*w^2 - 3*w - 11]', '[49, 7, -2*w^2 - 4*w + 1]', '[59, 59, w^2 - 2*w - 11]', '[71, 71, -2*w + 7]', '[73, 73, w^2 - 3*w - 13]', '[73, 73, 2*w^2 - 2*w - 17]', '[73, 73, -w^2 - 4*w - 5]', '[79, 79, 2*w - 1]', '[79, 79, w^2 + w - 5]', '[79, 79, w - 5]', '[83, 83, -2*w + 5]', '[101, 101, -3*w^2 + 5*w + 13]', '[107, 107, -4*w^2 + 7*w + 17]', '[109, 109, 2*w^2 - w - 11]', '[113, 113, -7*w^2 + 14*w + 25]', '[125, 5, -5]', '[131, 131, w^2 - w - 11]', '[131, 131, w^2 - 4*w + 1]', '[131, 131, -3*w^2 + 2*w + 19]', '[137, 137, w^2 - 3*w - 7]', '[139, 139, 3*w^2 - 17]', '[149, 149, -4*w^2 + 9*w + 13]', '[149, 149, -4*w^2 + 8*w + 13]', '[149, 149, w^2 - 4*w - 1]', '[157, 157, -2*w^2 - w + 7]', '[163, 163, 6*w^2 - 13*w - 17]', '[167, 167, -2*w - 7]', '[179, 179, -w^2 + 5*w - 5]', '[181, 181, -w^2 - w + 11]', '[193, 193, -5*w^2 + 10*w + 17]', '[197, 197, 2*w^2 - 4*w - 19]', '[223, 223, 2*w^2 - 2*w - 7]', '[227, 227, -3*w^2 + 6*w + 13]', '[229, 229, w^2 - 4*w - 7]', '[233, 233, 2*w^2 + 5*w - 1]', '[233, 233, 3*w - 1]', '[233, 233, -3*w^2 + 7*w + 11]', '[241, 241, 4*w^2 - w - 25]', '[251, 251, 6*w + 13]', '[257, 257, 3*w^2 - 3*w - 17]', '[269, 269, 3*w^2 - 4*w - 23]', '[269, 269, -4*w^2 + w + 23]', '[271, 271, 2*w^2 - w - 5]', '[277, 277, -2*w^2 + 7*w - 1]', '[281, 281, w - 7]', '[283, 283, -4*w^2 + 7*w + 19]', '[283, 283, 2*w^2 + w - 5]', '[283, 283, w^2 + 2*w - 5]', '[289, 17, 2*w^2 - w - 7]', '[293, 293, -w - 7]', '[293, 293, 2*w^2 - 5*w - 1]', '[293, 293, w^2 - 2*w - 13]', '[307, 307, -6*w^2 + 14*w + 13]', '[307, 307, 4*w + 11]', '[307, 307, 2*w^2 - 2*w - 19]', '[311, 311, 2*w^2 + w - 11]', '[317, 317, 2*w^2 - 5]', '[331, 331, w^2 - 5*w + 7]', '[331, 331, -4*w^2 + 6*w + 19]', '[331, 331, 5*w^2 - 13*w - 11]', '[337, 337, 3*w^2 - 2*w - 17]', '[347, 347, -5*w^2 + 11*w + 17]', '[347, 347, 5*w + 13]', '[347, 347, 2*w^2 - 4*w - 13]', '[359, 359, 3*w^2 - 5*w - 17]', '[361, 19, w^2 - 4*w - 11]', '[367, 367, 3*w^2 - 6*w - 31]', '[373, 373, 3*w^2 - 5*w - 29]', '[379, 379, 4*w^2 - 3*w - 25]', '[383, 383, 2*w^2 - 4*w - 17]', '[397, 397, 3*w - 5]', '[401, 401, -3*w^2 + 4*w + 13]', '[409, 409, -w^2 + 4*w - 5]', '[431, 431, 2*w^2 - 4*w - 1]', '[443, 443, 2*w^2 - 5*w - 11]', '[457, 457, -3*w^2 - 4*w + 5]', '[457, 457, w^2 + 2*w - 7]', '[457, 457, -6*w^2 + 12*w + 23]', '[461, 461, 4*w - 11]', '[463, 463, -4*w^2 + 8*w + 17]', '[467, 467, -6*w^2 + 10*w + 29]', '[479, 479, 4*w^2 - 12*w - 1]', '[499, 499, 3*w^2 - 6*w - 29]', '[503, 503, -w^2 + 5*w - 1]', '[509, 509, 3*w^2 - 9*w - 5]', '[521, 521, -4*w^2 + 5*w + 35]', '[523, 523, -9*w^2 + 17*w + 35]', '[541, 541, 6*w + 11]', '[547, 547, w^2 + 2*w - 13]', '[547, 547, -3*w^2 - 3*w + 7]', '[547, 547, -3*w^2 + 7*w + 13]', '[557, 557, 2*w^2 + w - 13]', '[569, 569, 5*w^2 - 13*w - 7]', '[571, 571, -6*w^2 + 12*w + 19]', '[577, 577, 3*w^2 - 5*w - 19]', '[601, 601, 3*w^2 - 13]', '[607, 607, 3*w^2 - 5*w - 25]', '[613, 613, 8*w^2 - 17*w - 23]', '[631, 631, w^2 - 5*w - 13]', '[631, 631, -3*w^2 - w + 11]', '[631, 631, 5*w^2 - 14*w - 7]', '[641, 641, -w^2 + 7*w - 11]', '[641, 641, 2*w^2 - 5*w - 13]', '[641, 641, 5*w^2 - w - 31]', '[647, 647, 4*w^2 - 2*w - 23]', '[659, 659, -2*w^2 - 4*w + 5]', '[659, 659, -4*w^2 - 4*w + 11]', '[659, 659, w^2 + 6*w + 11]', '[661, 661, 2*w^2 - 6*w - 11]', '[673, 673, 2*w^2 - 6*w - 23]', '[677, 677, 8*w^2 - 19*w - 17]', '[683, 683, w^2 - 5*w - 19]', '[691, 691, 6*w^2 - 16*w - 11]', '[701, 701, -3*w - 11]', '[709, 709, -w^2 - w - 5]', '[719, 719, 8*w + 17]', '[733, 733, 5*w^2 - 7*w - 25]', '[739, 739, 4*w^2 - 10*w - 5]', '[743, 743, 3*w^2 - 3*w - 11]', '[743, 743, -w^2 + 7*w + 23]', '[743, 743, -7*w^2 + 14*w + 23]', '[757, 757, w^2 + 7*w + 13]', '[761, 761, -9*w^2 + 4*w + 59]', '[773, 773, 3*w^2 - w - 13]', '[773, 773, -w^2 + 3*w - 5]', '[773, 773, 3*w^2 - 2*w - 13]', '[787, 787, -4*w^2 - 3*w + 13]', '[787, 787, 5*w^2 - 4*w - 31]', '[787, 787, -10*w^2 + 20*w + 37]', '[797, 797, 3*w^2 + 3*w - 5]', '[809, 809, 6*w^2 - 17*w - 5]', '[821, 821, -5*w^2 + 9*w + 17]', '[821, 821, 2*w^2 + 2*w - 11]', '[821, 821, 2*w^2 - 5*w - 17]', '[823, 823, -2*w^2 + 4*w + 23]', '[823, 823, 2*w^2 + w - 25]', '[823, 823, 3*w^2 - 6*w - 17]', '[829, 829, -3*w^2 - 5*w + 7]', '[839, 839, 2*w^2 - 7*w - 11]', '[841, 29, w^2 - 6*w - 1]', '[853, 853, 3*w^2 - 7*w - 31]', '[857, 857, 4*w^2 - 5*w - 19]', '[881, 881, -w^2 - 5]', '[883, 883, -4*w^2 - 7*w + 7]', '[887, 887, 3*w^2 - 11]', '[887, 887, 3*w^2 + 2*w - 7]', '[887, 887, 2*w^2 - 8*w + 7]', '[907, 907, 3*w^2 - 8*w - 1]', '[907, 907, 4*w^2 - 19]', '[907, 907, 3*w^2 - 2*w - 11]', '[911, 911, -6*w^2 + 9*w + 29]', '[919, 919, -9*w^2 + 18*w + 31]', '[929, 929, w^2 + 3*w - 7]', '[937, 937, 4*w - 7]', '[941, 941, -2*w^2 + 8*w + 11]', '[947, 947, 3*w^2 - 25]', '[953, 953, 5*w^2 - 7*w - 31]', '[961, 31, -3*w^2 + 4*w + 29]', '[967, 967, 3*w^2 - w - 11]', '[977, 977, 5*w^2 + 4*w - 19]', '[977, 977, 3*w^2 - 10*w - 1]', '[977, 977, -2*w^2 + 4*w - 1]', '[991, 991, 5*w^2 - 29]']}
30. label: 3.3.1101.1
    {'degree': 3, 'discriminant': 1101, 'ideals': ['[1, 1, 1]', '[2, 2, w - 2]', '[3, 3, -w + 3]', '[3, 3, w - 1]', '[4, 2, w^2 + w - 7]', '[4, 4, w^2 + 2*w - 4]', '[6, 6, w^2 + w - 6]', '[6, 6, -w^2 + 10]', '[8, 2, 2]', '[8, 8, -w^2 + 8]', '[9, 3, -w^2 + 9]', '[9, 3, w^2 + 2*w - 3]', '[9, 9, 2*w - 5]', '[12, 6, w^2 + w - 9]', '[12, 6, w^2 + w - 5]', '[12, 12, w]', '[12, 12, w^2 + w - 8]', '[16, 4, 2*w - 4]', '[16, 4, -w^2 + w + 5]', '[16, 16, w^2 - w - 4]', '[18, 6, w^2 - 6]', '[18, 6, w^2 + 2*w - 6]', '[18, 18, w + 2]', '[19, 19, w + 1]', '[23, 23, w^2 - 2*w - 1]', '[24, 6, -2*w + 6]', '[24, 6, 2*w - 2]', '[24, 24, w^2 - 2*w]', '[24, 24, -w + 4]', '[27, 3, 3]', '[27, 9, w^2 - 3]', '[27, 9, 2*w^2 + w - 15]', '[27, 27, 2*w^2 + 3*w - 11]', '[31, 31, -2*w^2 + 19]', '[31, 31, -w^2 + 5]', '[31, 31, -3*w + 5]', '[32, 4, 2*w^2 + 2*w - 14]', '[32, 8, 2*w^2 + 4*w - 8]', '[32, 32, w + 4]', '[36, 6, w^2 - 3*w + 3]', '[36, 6, w^2 - w - 3]', '[36, 12, -w^2 + 3*w]', '[36, 12, w^2 + 2*w - 12]', '[36, 18, -w^2 - w + 11]', '[36, 36, w^2 - 4]', '[38, 38, w^2 - w - 2]', '[41, 41, w^2 + 2*w - 7]', '[43, 43, w^2 - 11]', '[46, 46, w^2 + 2*w - 2]', '[47, 47, 3*w - 7]', '[48, 12, 2*w^2 + 2*w - 12]', '[48, 12, 3*w^2 + 5*w - 15]', '[48, 12, -2*w^2 + 20]', '[48, 12, w^2 + 3*w - 1]', '[48, 48, 3*w^2 + 4*w - 16]', '[48, 48, 3*w^2 + 2*w - 24]', '[53, 53, -3*w^2 - 6*w + 11]', '[54, 6, 3*w - 6]', '[54, 18, 4*w^2 + 3*w - 30]', '[54, 18, -w^2 + w + 6]', '[54, 54, w^2 + w - 2]', '[57, 57, w^2 - 1]', '[57, 57, -w^2 + 2*w + 3]', '[59, 59, 2*w - 1]', '[62, 62, w^2 - 4*w + 2]', '[62, 62, 2*w^2 + w - 14]', '[62, 62, -3*w^2 - 2*w + 22]', '[64, 4, 4]', '[64, 8, w^2 + 3*w - 5]', '[64, 16, -2*w^2 + 16]', '[64, 64, w^2 + 2*w - 8]', '[67, 67, 2*w^2 + w - 19]', '[67, 67, 3*w^2 + 2*w - 25]', '[67, 67, w - 5]', '[69, 69, 4*w^2 + 6*w - 19]', '[69, 69, 2*w^2 + 2*w - 15]', '[72, 6, -2*w^2 + 18]', '[72, 6, 2*w^2 + 4*w - 6]', '[72, 18, 4*w - 10]', '[72, 24, 2*w^2 + 3*w - 12]', '[72, 24, -w^2 + w + 12]', '[72, 72, -w^2 + 5*w - 4]', '[73, 73, -4*w^2 - 3*w + 29]', '[73, 73, 2*w^2 - w - 11]', '[73, 73, w^2 + 2*w - 11]', '[76, 38, 3*w^2 + 3*w - 19]', '[76, 76, 4*w^2 + 7*w - 16]', '[79, 79, 2*w^2 + 2*w - 11]', '[81, 9, -3*w + 9]', '[81, 9, 4*w^2 + 6*w - 21]', '[81, 9, 3*w - 3]', '[81, 27, w^2 + 2*w - 9]', '[81, 81, -2*w^2 + 17]', '[82, 82, w^2 - 2*w + 2]', '[83, 83, 2*w^2 - 13]', '[86, 86, -w^2 - 2*w + 10]', '[89, 89, -2*w + 7]', '[92, 46, -w^2 + w + 7]', '[92, 92, w^2 + 3*w - 8]', '[93, 93, w + 5]', '[93, 93, -4*w^2 - 4*w + 27]', '[93, 93, 2*w^2 + 2*w - 9]', '[93, 93, -2*w - 7]', '[93, 93, -4*w + 7]', '[93, 93, -3*w^2 - 4*w + 15]', '[94, 94, w^2 + 3*w - 2]', '[96, 12, 2*w^2 + 2*w - 18]', '[96, 12, 2*w^2 + 2*w - 10]', '[96, 24, 2*w]', '[96, 24, 2*w^2 + 2*w - 16]', '[96, 96, -w^2 - w + 12]', '[96, 96, w^2 + 3*w - 4]', '[97, 97, -2*w^2 + 4*w - 1]', '[101, 101, -2*w - 5]', '[103, 103, 2*w^2 + w - 13]', '[106, 106, -3*w^2 - 4*w + 14]', '[107, 107, -2*w^2 - 2*w + 17]', '[108, 6, 3*w^2 + 3*w - 21]', '[108, 12, 3*w^2 + 6*w - 12]', '[108, 18, w^2 + 3*w - 3]', '[108, 18, -w^2 + 7*w - 9]', '[108, 36, -w^2 + 12]', '[108, 36, 4*w^2 + 5*w - 24]', '[108, 54, -w^2 + 3*w + 1]', '[108, 108, -w^2 - 3*w + 16]', '[109, 109, -4*w^2 - 2*w + 31]', '[113, 113, w^2 + 2*w - 1]', '[114, 114, -2*w^2 + w + 22]', '[114, 114, 3*w^2 + 4*w - 18]', '[118, 118, 2*w^2 - 5*w + 2]', '[123, 123, 2*w^2 - 5]', '[123, 123, 4*w - 9]', '[124, 62, w^2 - w + 1]', '[124, 62, w^2 - w - 11]', '[124, 62, -w^2 - w + 1]', '[124, 124, -w^2 + 2*w + 4]', '[124, 124, -3*w^2 - 5*w + 16]', '[124, 124, w^2 - w - 8]', '[125, 5, -5]', '[127, 127, 2*w^2 + 3*w - 13]', '[128, 8, 4*w - 8]', '[128, 8, -2*w^2 + 2*w + 10]', '[128, 32, 2*w^2 - 2*w - 8]', '[128, 128, w^2 - 3*w + 4]', '[129, 129, -2*w - 1]', '[129, 129, 2*w^2 + 2*w - 21]', '[134, 134, -w^2 - 2*w + 14]', '[134, 134, w^2 - 7*w + 10]', '[134, 134, -w^2 - 3*w + 14]', '[137, 137, -2*w^2 + 7*w - 7]', '[138, 138, 3*w^2 + w - 22]', '[138, 138, -w + 6]', '[139, 139, 2*w^2 + w - 7]', '[141, 141, -6*w^2 - 2*w + 53]', '[141, 141, 3*w^2 + 2*w - 21]', '[144, 12, 2*w^2 - 12]', '[144, 12, 2*w^2 + 4*w - 12]', '[144, 12, w^2 + 3*w - 9]', '[144, 12, -w^2 + w + 9]', '[144, 36, 2*w + 4]', '[144, 36, 3*w^2 + 5*w - 11]', '[144, 48, w^2]', '[144, 48, 2*w^2 + w - 12]', '[144, 144, -3*w^2 - w + 28]', '[146, 146, w^2 - w - 10]', '[146, 146, -w^2 + w + 14]', '[146, 146, w^2 - 6*w + 10]', '[149, 149, -6*w^2 - 9*w + 31]', '[152, 38, 2*w + 2]', '[152, 152, -2*w^2 - w + 20]', '[157, 157, w^2 - 4*w + 1]', '[158, 158, 3*w - 2]', '[159, 159, -2*w - 3]', '[159, 159, -4*w^2 - 3*w + 31]', '[162, 18, 3*w^2 + 3*w - 18]', '[162, 18, 2*w^2 + 3*w - 6]', '[162, 18, -3*w^2 + 30]', '[162, 54, w^2 - 4*w + 6]', '[162, 162, 2*w^2 - w - 10]', '[163, 163, 2*w^2 + 5*w - 5]', '[164, 82, w^2 + 3*w + 1]', '[164, 164, 7*w^2 + 11*w - 32]', '[166, 166, -2*w^2 + 5*w + 2]', '[171, 57, -2*w^2 + 21]', '[171, 57, 4*w^2 + 8*w - 15]', '[171, 171, 2*w^2 - 3*w - 5]', '[172, 86, -7*w^2 - 5*w + 53]', '[172, 172, -3*w^2 - 7*w + 8]', '[173, 173, 5*w^2 + 4*w - 37]', '[177, 177, 2*w^2 - 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100]', '[1868, 934, 3*w^2 + 7*w - 23]', '[1868, 1868, 6*w^2 + 15*w - 32]', '[1871, 1871, 5*w^2 - 31]', '[1873, 1873, 2*w^2 + 8*w - 11]', '[1874, 1874, -3*w - 14]', '[1877, 1877, -8*w^2 - 7*w + 53]', '[1877, 1877, 11*w^2 + 6*w - 85]', '[1877, 1877, 10*w^2 + 7*w - 73]', '[1879, 1879, 2*w^2 - 6*w - 37]', '[1882, 1882, -3*w^2 + 16*w - 14]', '[1884, 942, -w^2 - 9*w + 19]', '[1884, 942, -5*w^2 + 7*w + 15]', '[1884, 1884, -3*w^2 + 10*w - 12]', '[1884, 1884, -4*w^2 + 3*w + 16]', '[1886, 1886, 9*w^2 + 15*w - 46]', '[1888, 236, 6*w^2 + 6*w - 34]', '[1888, 472, 10*w^2 + 16*w - 40]', '[1888, 1888, 2*w^2 + 7*w - 4]', '[1894, 1894, 6*w^2 - 17*w + 10]', '[1896, 474, 4*w^2 + 10*w - 26]', '[1896, 474, 4*w^2 - 2*w - 18]', '[1896, 1896, 3*w^2 - 2*w]', '[1896, 1896, 4*w^2 + w - 20]', '[1901, 1901, 2*w^2 + 7*w - 5]', '[1902, 1902, -7*w^2 - 4*w + 50]', '[1902, 1902, -9*w^2 - 10*w + 54]', '[1902, 1902, 5*w + 18]', '[1902, 1902, -w^2 - w - 6]', '[1902, 1902, 8*w^2 - w - 82]', '[1902, 1902, 17*w^2 + 11*w - 130]', '[1907, 1907, 3*w^2 + 6*w - 25]', '[1908, 318, -7*w^2 - 11*w + 39]', '[1908, 318, -7*w^2 - 3*w + 51]', '[1908, 636, -7*w^2 - 5*w + 48]', '[1908, 636, -2*w^2 - 3*w]', '[1908, 954, w^2 - 5*w - 23]', '[1908, 1908, -13*w^2 - 21*w + 64]', '[1909, 1909, w^2 - 16*w + 37]', '[1912, 478, -8*w^2 - 16*w + 26]', '[1912, 478, 4*w^2 + 4*w - 10]', '[1912, 478, -2*w^2 + 16*w - 22]', '[1912, 1912, 5*w^2 - 11*w - 4]', '[1912, 1912, 3*w^2 - 4*w - 40]', '[1912, 1912, -w^2 + 4*w + 8]', '[1916, 958, 5*w^2 - 3*w - 25]', '[1916, 1916, 2*w^2 - 5*w + 8]', '[1919, 1919, -2*w^2 - 7*w - 5]', '[1922, 62, w^2 - 7*w + 2]', '[1922, 62, 3*w^2 + 2*w - 34]', '[1922, 62, -5*w^2 - w + 50]', '[1922, 1922, 11*w^2 + 15*w - 58]', '[1922, 1922, -3*w^2 + 14*w - 10]', '[1922, 1922, 5*w + 2]', '[1923, 1923, 8*w^2 - w - 57]', '[1923, 1923, w - 13]', '[1926, 642, -w^2 - 2*w - 6]', '[1926, 642, 7*w^2 - 54]', '[1926, 1926, -8*w^2 - 5*w + 58]', '[1927, 1927, 2*w^2 - 8*w + 13]', '[1928, 482, 6*w - 2]', '[1928, 1928, -2*w^2 - 3*w + 28]', '[1929, 1929, 4*w^2 - 5*w - 11]', '[1929, 1929, 4*w^2 + 13*w - 63]', '[1931, 1931, 2*w^2 - 4*w - 11]', '[1931, 1931, -11*w^2 - 14*w + 65]', '[1931, 1931, -4*w^2 + 7*w + 5]', '[1934, 1934, 9*w^2 + 13*w - 50]', '[1942, 1942, -3*w^2 + 2*w + 38]', '[1944, 18, -6*w^2 + 54]', '[1944, 18, 6*w^2 + 12*w - 18]', '[1944, 54, 4*w^2 + 6*w - 30]', '[1944, 54, 12*w - 30]', '[1944, 72, 6*w^2 + 9*w - 36]', '[1944, 72, -3*w^2 + 3*w + 36]', '[1944, 162, 4*w^2 - 4*w - 6]', '[1944, 216, -3*w^2 + 15*w - 12]', '[1944, 216, 8*w^2 + 3*w - 60]', '[1944, 486, -2*w + 14]', '[1944, 648, w^2 + 8*w - 24]', '[1944, 1944, -6*w^2 + w + 44]', '[1949, 1949, 6*w^2 - 49]', '[1951, 1951, 6*w^2 + w - 41]', '[1956, 978, 17*w^2 + 27*w - 83]', '[1956, 978, 21*w^2 + 37*w - 93]', '[1956, 1956, 11*w^2 + 12*w - 68]', '[1956, 1956, 7*w^2 + 13*w - 24]', '[1957, 1957, 5*w^2 + 6*w - 37]', '[1962, 654, -5*w^2 - 9*w + 30]', '[1962, 654, w^2 - 4*w - 18]', '[1962, 1962, -14*w^2 - 9*w + 110]', '[1964, 982, -3*w^2 - 3*w + 35]', '[1964, 1964, -13*w^2 - 3*w + 104]', '[1968, 492, 10*w^2 + 10*w - 68]', '[1968, 492, 13*w^2 + 19*w - 65]', '[1968, 492, 4*w^2 + 10*w - 12]', '[1968, 492, 15*w^2 + 25*w - 63]', '[1968, 1968, 11*w^2 + 21*w - 44]', '[1968, 1968, -3*w^2 + w + 36]', '[1971, 219, -12*w^2 - 9*w + 87]', '[1971, 219, 6*w^2 - 3*w - 33]', '[1971, 219, 3*w^2 + 6*w - 33]', '[1971, 657, -2*w^2 - 6*w - 3]', '[1971, 657, 2*w^2 + 7*w - 21]', '[1971, 657, 2*w^2 - 12*w + 21]', '[1971, 657, -10*w^2 - 2*w + 81]', '[1971, 657, -4*w^2 + 7*w + 3]', '[1971, 657, -2*w^2 + 9*w - 3]', '[1971, 1971, -3*w^2 + 2*w + 25]', '[1971, 1971, 2*w + 13]', '[1971, 1971, w^2 + 4*w - 23]', '[1977, 1977, -2*w^2 - 8*w + 33]', '[1977, 1977, -4*w^2 + 13]', '[1978, 1978, -w^2 - 7*w - 14]', '[1979, 1979, 4*w^2 + w - 19]', '[1982, 1982, -2*w^2 + 7*w + 2]', '[1983, 1983, -4*w^2 - 10*w + 17]', '[1983, 1983, 2*w^2 + 2*w - 27]', '[1984, 124, -8*w^2 + 76]', '[1984, 124, -4*w^2 + 20]', '[1984, 124, -12*w + 20]', '[1984, 248, 3*w^2 + 9*w + 1]', '[1984, 248, -3*w^2 - 9*w + 23]', '[1984, 248, 3*w^2 - 7*w - 7]', '[1984, 496, 10*w^2 + 14*w - 56]', '[1984, 496, -6*w^2 - 6*w + 56]', '[1984, 496, -4*w^2 + 6*w + 8]', '[1984, 1984, 11*w^2 + 8*w - 80]', '[1984, 1984, -3*w^2 - 9*w + 44]', '[1984, 1984, w^2 - 5*w - 4]', '[1986, 1986, -3*w^2 + 2*w + 30]', '[1986, 1986, 16*w^2 + 9*w - 130]', '[1987, 1987, -2*w^2 - 7*w + 29]', '[1992, 498, 8*w^2 - 10*w - 30]', '[1992, 498, 10*w - 22]', '[1992, 1992, 3*w^2 - 16*w + 24]', '[1992, 1992, 6*w^2 - 5*w - 28]', '[1993, 1993, -10*w^2 - 11*w + 61]', '[1994, 1994, -5*w^2 + 20*w - 14]', '[1996, 998, 5*w^2 - 3*w - 31]', '[1996, 998, -11*w^2 - 7*w + 89]', '[1996, 998, -3*w^2 - 3*w + 5]', '[1996, 1996, -w^2 - 6*w - 4]', '[1996, 1996, -w^2 - 8*w + 20]', '[1996, 1996, 2*w^2 - 3*w - 16]', '[1997, 1997, 4*w^2 - w - 11]', '[2000, 20, -10*w + 20]', '[2000, 20, 5*w^2 - 5*w - 25]', '[2000, 80, -5*w^2 + 5*w + 20]', '[2003, 2003, 3*w^2 + 10*w - 47]', '[2003, 2003, 10*w^2 + 5*w - 77]', '[2003, 2003, 6*w^2 + 5*w - 37]', '[2007, 669, -7*w^2 - 6*w + 63]', '[2007, 669, -5*w^2 - 4*w + 27]', '[2007, 2007, 4*w^2 - 43]', '[2008, 502, 2*w^2 + 8*w - 38]', '[2008, 2008, -4*w^2 + 7*w + 4]', '[2011, 2011, 12*w^2 + 4*w - 107]', '[2014, 2014, -10*w^2 - 17*w + 50]', '[2018, 2018, -4*w^2 - 9*w + 26]', '[2019, 2019, 4*w^2 + 7*w - 45]', '[2019, 2019, 4*w^2 + w - 17]', '[2021, 2021, 4*w^2 + 6*w - 41]', '[2022, 2022, 4*w^2 + w - 18]', '[2022, 2022, -3*w^2 - w + 34]', '[2026, 2026, w^2 + 6*w - 2]', '[2029, 2029, -4*w^2 + w + 19]', '[2032, 508, 2*w^2 - 2*w + 4]', '[2032, 508, 5*w^2 - w - 29]', '[2032, 2032, -3*w^2 + 4*w + 16]', '[2033, 2033, -6*w^2 - 3*w + 41]', '[2034, 678, 5*w^2 + 3*w - 30]', '[2034, 678, 11*w^2 + 19*w - 54]', '[2034, 2034, 5*w^2 + 12*w - 14]', '[2039, 2039, -5*w - 11]', '[2043, 681, 10*w^2 + 21*w - 33]', '[2043, 681, 5*w^2 - 2*w - 27]', '[2043, 2043, 3*w^2 + 8*w - 23]', '[2047, 2047, 7*w^2 + 8*w - 47]', '[2048, 16, 8*w^2 + 8*w - 56]', '[2048, 32, 8*w^2 + 16*w - 32]', '[2048, 32, 10*w^2 + 14*w - 50]', '[2048, 128, 4*w + 16]', '[2048, 512, -10*w^2 - 2*w + 88]', '[2048, 2048, 7*w^2 + 9*w - 44]', '[2049, 2049, 4*w^2 - 5*w - 5]', '[2049, 2049, 3*w^2 + 8*w - 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31*w + 111]', '[9924, 4962, -17*w^2 - 29*w + 67]', '[9924, 4962, -29*w^2 - 47*w + 123]', '[9924, 4962, w^2 - 15*w - 55]', '[9924, 4962, -23*w^2 - 35*w + 109]', '[9924, 4962, 3*w^2 - 5*w - 33]', '[9924, 9924, -2*w^2 - 11*w - 8]', '[9924, 9924, -14*w^2 - 17*w + 88]', '[9924, 9924, -19*w^2 - 16*w + 132]', '[9924, 9924, 34*w^2 + 9*w - 304]', '[9924, 9924, -11*w^2 - 20*w + 60]', '[9924, 9924, -9*w^2 - 20*w + 36]', '[9927, 3309, 2*w^2 - 6*w - 21]', '[9927, 3309, -16*w^2 - 26*w + 63]', '[9927, 9927, 8*w^2 - 43*w + 53]', '[9931, 9931, -5*w^2 + 2*w + 61]', '[9934, 9934, -3*w^2 + 10*w + 58]', '[9936, 276, 15*w^2 + 9*w - 111]', '[9936, 276, 6*w^2 + 12*w - 12]', '[9936, 828, 19*w^2 + 29*w - 99]', '[9936, 828, 16*w^2 + 14*w - 108]', '[9936, 828, w^2 + 3*w + 15]', '[9936, 828, -10*w^2 + 84]', '[9936, 1104, -6*w^2 + 3*w + 60]', '[9936, 2484, w^2 - 17*w + 43]', '[9936, 2484, 8*w^2 - 18*w + 4]', '[9936, 3312, 7*w^2 + 12*w - 48]', '[9936, 3312, 16*w^2 + 29*w - 60]', '[9936, 9936, -w^2 + 21*w - 44]', '[9937, 9937, -7*w^2 + 6*w + 89]', '[9938, 9938, 4*w^2 - 15*w + 22]', '[9939, 9939, 9*w^2 + 20*w - 35]', '[9939, 9939, -5*w^2 - 2*w + 57]', '[9941, 9941, -4*w^2 + 6*w + 53]', '[9942, 9942, 17*w^2 + 14*w - 118]', '[9942, 9942, 5*w^2 + 11*w - 6]', '[9946, 9946, w^2 - 21*w + 34]', '[9948, 4974, 9*w^2 + 17*w - 27]', '[9948, 4974, -3*w^2 - 19*w + 75]', '[9948, 4974, 17*w^2 + 33*w - 77]', '[9948, 4974, 17*w^2 + 17*w - 109]', '[9948, 4974, w^2 + w + 15]', '[9948, 4974, -3*w^2 + 13*w - 1]', '[9948, 9948, -4*w^2 + 5*w + 48]', '[9948, 9948, -3*w^2 - 11*w + 56]', '[9948, 9948, 5*w^2 + 9*w - 8]', '[9948, 9948, 8*w^2 - 19*w]', '[9948, 9948, 29*w^2 + 17*w - 232]', '[9948, 9948, 12*w^2 + 13*w - 48]', '[9949, 9949, -11*w^2 + 8*w + 55]', '[9951, 9951, 2*w^2 - 10*w + 23]', '[9951, 9951, -8*w - 9]', '[9951, 9951, 22*w^2 + 16*w - 167]', '[9951, 9951, -14*w^2 - 11*w + 109]', '[9951, 9951, -18*w^2 - 2*w + 171]', '[9951, 9951, w^2 + 10*w + 15]', '[9963, 369, 12*w^2 + 9*w - 81]', '[9963, 369, 24*w^2 + 39*w - 117]', '[9963, 1107, 3*w^2 - 18*w + 33]', '[9963, 1107, 4*w^2 + 6*w - 3]', '[9963, 3321, w^2 + 20*w - 27]', '[9963, 9963, 4*w^2 + 12*w - 37]', '[9964, 4982, 5*w^2 + 17*w + 1]', '[9964, 9964, 35*w^2 + 58*w - 164]', '[9967, 9967, 6*w^2 + 11*w - 13]', '[9972, 1662, 17*w^2 - 57*w + 45]', '[9972, 1662, 7*w^2 - 25*w + 27]', '[9972, 1662, w^2 - 7*w - 21]', '[9972, 1662, -7*w^2 - 15*w + 45]', '[9972, 1662, w^2 - 25*w + 57]', '[9972, 1662, 13*w^2 - 51*w + 39]', '[9972, 3324, -8*w^2 - 3*w + 48]', '[9972, 3324, -14*w^2 - 25*w + 72]', '[9972, 3324, -7*w^2 + 45*w - 72]', '[9972, 3324, -17*w^2 + 14*w + 84]', '[9972, 3324, -11*w^2 + 54*w - 60]', '[9972, 3324, -8*w^2 + 23*w]', '[9972, 4986, 7*w^2 - 9*w - 19]', '[9972, 4986, -23*w^2 - 39*w + 95]', '[9972, 4986, 15*w^2 - 5*w - 97]', '[9972, 9972, -5*w^2 - 15*w + 8]', '[9972, 9972, -w^2 - 16*w + 44]', '[9972, 9972, 6*w^2 - 11*w + 8]', '[9974, 9974, -5*w^2 + 7*w + 26]', '[9978, 9978, -3*w^2 + 5*w + 30]', '[9978, 9978, 19*w^2 + 12*w - 154]', '[9978, 9978, 6*w^2 + 5*w - 66]', '[9978, 9978, -7*w^2 + 2*w + 18]', '[9978, 9978, -4*w^2 - 13*w + 14]', '[9978, 9978, w - 22]', '[9981, 3327, 16*w^2 + 15*w - 105]', '[9981, 3327, 40*w^2 + 65*w - 189]', '[9981, 9981, w^2 - 8*w + 25]', '[9983, 9983, 8*w^2 - 10*w - 35]', '[9983, 9983, 15*w^2 + 22*w - 83]', '[9983, 9983, 23*w^2 + 22*w - 157]', '[9986, 9986, 2*w^2 - 7*w - 14]', '[9987, 9987, -13*w^2 - 16*w + 69]', '[9987, 9987, 4*w^2 - 6*w - 61]', '[9991, 9991, 7*w^2 + 16*w - 91]', '[9994, 9994, 11*w^2 + 13*w - 74]', '[9994, 9994, -4*w^2 - 11*w + 50]', '[9994, 9994, -3*w - 22]'], 'label': '3.3.1101.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w - 2]', '[3, 3, -w + 3]', '[3, 3, w - 1]', '[4, 2, w^2 + w - 7]', '[19, 19, w + 1]', '[23, 23, w^2 - 2*w - 1]', '[31, 31, -2*w^2 + 19]', '[31, 31, -w^2 + 5]', '[31, 31, -3*w + 5]', '[41, 41, w^2 + 2*w - 7]', '[43, 43, w^2 - 11]', '[47, 47, 3*w - 7]', '[53, 53, -3*w^2 - 6*w + 11]', '[59, 59, 2*w - 1]', '[67, 67, 2*w^2 + w - 19]', '[67, 67, 3*w^2 + 2*w - 25]', '[67, 67, w - 5]', '[73, 73, -4*w^2 - 3*w + 29]', '[73, 73, 2*w^2 - w - 11]', '[73, 73, w^2 + 2*w - 11]', '[79, 79, 2*w^2 + 2*w - 11]', '[83, 83, 2*w^2 - 13]', '[89, 89, -2*w + 7]', '[97, 97, -2*w^2 + 4*w - 1]', '[101, 101, -2*w - 5]', '[103, 103, 2*w^2 + w - 13]', '[107, 107, -2*w^2 - 2*w + 17]', '[109, 109, -4*w^2 - 2*w + 31]', '[113, 113, w^2 + 2*w - 1]', '[125, 5, -5]', '[127, 127, 2*w^2 + 3*w - 13]', '[137, 137, -2*w^2 + 7*w - 7]', '[139, 139, 2*w^2 + w - 7]', '[149, 149, -6*w^2 - 9*w + 31]', '[157, 157, w^2 - 4*w + 1]', '[163, 163, 2*w^2 + 5*w - 5]', '[173, 173, 5*w^2 + 4*w - 37]', '[179, 179, 2*w^2 + w - 11]', '[179, 179, 3*w^2 - 2*w - 17]', '[179, 179, -4*w^2 - w + 37]', '[191, 191, -6*w^2 - 9*w + 29]', '[193, 193, -2*w^2 - 4*w + 5]', '[223, 223, -2*w^2 + 2*w + 7]', '[227, 227, 6*w^2 + 4*w - 47]', '[233, 233, 2*w^2 + 4*w - 13]', '[233, 233, -4*w^2 - 4*w + 25]', '[233, 233, 4*w + 13]', '[239, 239, -4*w^2 - 8*w + 13]', '[239, 239, 2*w^2 + 2*w - 5]', '[239, 239, -w^2 + 8*w - 11]', '[241, 241, 3*w - 1]', '[251, 251, w^2 + 4*w - 19]', '[263, 263, -2*w^2 + 2*w + 25]', '[263, 263, -5*w^2 - 4*w + 35]', '[263, 263, 3*w^2 - 25]', '[269, 269, 6*w^2 + 3*w - 47]', '[269, 269, -w^2 - 1]', '[269, 269, 2*w^2 - 7]', '[277, 277, 2*w^2 - w - 5]', '[277, 277, -5*w^2 - 6*w + 31]', '[277, 277, 2*w^2 - 2*w - 11]', '[281, 281, 4*w^2 + 5*w - 25]', '[307, 307, 4*w^2 + 2*w - 37]', '[317, 317, -w - 7]', '[317, 317, 3*w^2 + 2*w - 19]', '[317, 317, -2*w^2 + 2*w + 5]', '[331, 331, 2*w^2 + 3*w - 19]', '[337, 337, w^2 - 4*w + 7]', '[343, 7, -7]', '[347, 347, 4*w^2 + 2*w - 29]', '[349, 349, 3*w^2 - 19]', '[361, 19, w^2 - 2*w - 7]', '[367, 367, 4*w^2 + 5*w - 19]', '[367, 367, -6*w + 11]', '[373, 373, -4*w^2 + w + 25]', '[379, 379, -5*w^2 - 10*w + 19]', '[383, 383, 4*w^2 + 6*w - 23]', '[401, 401, -3*w + 11]', '[401, 401, -3*w - 1]', '[401, 401, -3*w - 7]', '[409, 409, -w^2 - 4*w + 13]', '[419, 419, 2*w^2 - w - 17]', '[421, 421, -3*w^2 + 31]', '[431, 431, w^2 + 4*w - 1]', '[449, 449, -w^2 + 4*w + 1]', '[457, 457, -w^2 + 2*w + 13]', '[461, 461, 4*w^2 - 4*w - 19]', '[463, 463, 2*w^2 + 4*w - 23]', '[467, 467, 2*w^2 - 5*w + 5]', '[479, 479, 3*w + 11]', '[491, 491, 8*w^2 + 9*w - 49]', '[499, 499, -6*w^2 - 6*w + 41]', '[499, 499, 2*w^2 + 2*w - 23]', '[499, 499, 2*w^2 + 5*w - 29]', '[523, 523, -4*w^2 + w + 41]', '[529, 23, 6*w^2 + 7*w - 35]', '[547, 547, -2*w^2 + 6*w + 1]', '[557, 557, 3*w^2 + 2*w - 13]', '[563, 563, -w^2 + 4*w + 23]', '[569, 569, 10*w^2 + 8*w - 73]', '[587, 587, 2*w^2 - 2*w - 13]', '[593, 593, -6*w^2 - 8*w + 31]', '[601, 601, 4*w^2 + 5*w - 41]', '[601, 601, 10*w^2 + 16*w - 49]', '[601, 601, w^2 - 2*w + 5]', '[613, 613, -8*w^2 - 7*w + 55]', '[617, 617, -8*w^2 - 12*w + 37]', '[617, 617, 2*w^2 + 3*w - 25]', '[617, 617, 3*w^2 - 17]', '[641, 641, 4*w^2 - 35]', '[643, 643, 4*w^2 + 4*w - 37]', '[659, 659, -3*w^2 - 4*w + 23]', '[661, 661, -w^2 - 4*w - 5]', '[673, 673, 4*w^2 + 4*w - 31]', '[683, 683, 2*w^2 + 4*w - 19]', '[683, 683, 2*w^2 + w - 23]', '[683, 683, 3*w^2 + 6*w - 19]', '[701, 701, -6*w^2 - 12*w + 23]', '[701, 701, -2*w^2 + 7*w - 1]', '[701, 701, 3*w^2 + 2*w - 31]', '[709, 709, 5*w^2 + 4*w - 41]', '[719, 719, -6*w^2 - 2*w + 55]', '[719, 719, w^2 + 2*w - 17]', '[719, 719, 3*w^2 + 4*w - 29]', '[727, 727, -9*w^2 - 12*w + 49]', '[733, 733, 13*w^2 + 20*w - 65]', '[739, 739, 11*w^2 + 6*w - 91]', '[743, 743, -2*w^2 - 8*w + 35]', '[751, 751, 3*w^2 - 4*w - 13]', '[769, 769, 2*w^2 - 1]', '[797, 797, 2*w^2 - 8*w + 11]', '[811, 811, 4*w^2 - w - 29]', '[821, 821, 2*w^2 + 5*w - 17]', '[827, 827, -3*w^2 - 6*w + 7]', '[827, 827, -11*w^2 - 8*w + 83]', '[827, 827, -5*w^2 - 6*w + 25]', '[829, 829, -4*w^2 + 41]', '[829, 829, 4*w^2 + 8*w - 23]', '[829, 829, 8*w - 19]', '[839, 839, 2*w^2 + 6*w - 7]', '[853, 853, 10*w^2 + 6*w - 77]', '[859, 859, -5*w^2 - 2*w + 47]', '[863, 863, 12*w^2 + 19*w - 59]', '[877, 877, 8*w^2 + 6*w - 61]', '[907, 907, -4*w - 1]', '[907, 907, 9*w^2 + 4*w - 71]', '[907, 907, 2*w^2 + 7*w - 17]', '[919, 919, -10*w^2 - 5*w + 79]', '[929, 929, 2*w^2 + 7*w - 11]', '[937, 937, -4*w^2 + 6*w + 11]', '[941, 941, 3*w^2 - 11]', '[947, 947, 6*w - 5]', '[967, 967, -2*w^2 + 5*w + 5]', '[971, 971, 5*w^2 - 2*w - 29]', '[991, 991, 4*w^2 + 2*w - 25]', '[997, 997, 3*w^2 - 2*w - 11]']}
31. label: 3.3.1129.1
    {'degree': 3, 'discriminant': 1129, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[3, 3, w + 1]', '[3, 3, w + 2]', '[8, 2, 2]', '[9, 3, -w^2 + 2*w + 3]', '[9, 3, -w^2 + w + 6]', '[9, 3, w^2 - 7]', '[9, 9, w + 3]', '[9, 9, w - 2]', '[9, 9, w - 1]', '[11, 11, -w^2 + 5]', '[13, 13, w^2 - w - 7]', '[17, 17, -w^2 + w + 4]', '[19, 19, -w^2 - w + 4]', '[24, 6, 2*w]', '[24, 6, 2*w + 2]', '[24, 6, 2*w + 4]', '[27, 3, 3]', '[27, 9, 2*w^2 - w - 12]', '[27, 9, w^2 - w - 3]', '[27, 9, w^2 - 2*w]', '[27, 9, w^2 - 4]', '[27, 9, -w^2 + w + 9]', '[27, 9, w^2 - 1]', '[27, 27, w^2 - w - 2]', '[27, 27, w^2 + w - 2]', '[27, 27, -w^2 + 9]', '[29, 29, 2*w^2 - 2*w - 11]', '[31, 31, w^2 - 2*w - 4]', '[33, 33, -w^2 - 2*w + 2]', '[33, 33, -2*w - 3]', '[33, 33, w - 4]', '[37, 37, -2*w^2 + 3*w + 7]', '[39, 39, -w - 4]', '[39, 39, -w^2 - w - 1]', '[39, 39, -w^2 + 3]', '[41, 41, w^2 - 2]', '[51, 51, -w^2 - w + 5]', '[51, 51, -2*w + 1]', '[51, 51, w^2 - 3*w - 3]', '[57, 57, 3*w^2 - 2*w - 20]', '[57, 57, w^2 - 2*w - 5]', '[57, 57, -2*w^2 + 15]', '[59, 59, 2*w^2 - 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6*w - 40]', '[1912, 478, -12*w^2 + 6*w + 76]', '[1919, 1919, -2*w^2 + 7*w + 11]', '[1923, 1923, 13*w + 4]', '[1923, 1923, -3*w^2 + 16*w + 9]', '[1923, 1923, 3*w^2 + 10*w - 1]', '[1928, 482, -2*w^2 + 8*w - 10]', '[1931, 1931, -w^2 + 8*w - 11]', '[1933, 1933, 3*w^2 + 3*w - 17]', '[1941, 1941, 6*w^2 - 8*w - 3]', '[1941, 1941, 4*w^2 + 4*w - 5]', '[1941, 1941, 5*w^2 - 2*w - 4]', '[1943, 1943, -3*w - 14]', '[1944, 18, -6*w^2 + 12*w + 18]', '[1944, 18, -6*w^2 + 6*w + 36]', '[1944, 18, 6*w^2 - 42]', '[1944, 54, 2*w^2 + 2*w + 6]', '[1944, 54, 2*w^2 + 4*w - 24]', '[1944, 54, 6*w + 18]', '[1944, 54, 4*w^2 + 4*w - 6]', '[1944, 54, -4*w^2 + 12*w + 10]', '[1944, 54, -4*w^2 + 10*w + 12]', '[1944, 54, -2*w^2 + 6*w + 14]', '[1944, 54, 6*w - 12]', '[1944, 54, 6*w - 6]', '[1944, 162, -4*w^2 + 6*w + 22]', '[1944, 162, 2*w^2 + 8*w + 12]', '[1944, 162, 4*w^2 + 2*w - 24]', '[1944, 162, -4*w^2 + 6*w + 34]', '[1944, 162, 4*w^2 + 2*w - 12]', '[1944, 162, 4*w^2 - 2*w - 6]', '[1944, 486, 4*w^2 - 6*w]', '[1944, 486, 8*w + 10]', '[1944, 486, -6*w^2 + 14*w + 14]', '[1947, 1947, -6*w^2 - 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5]', '[9963, 1107, -5*w^2 + 24*w + 8]', '[9963, 1107, 7*w^2 + 16*w + 12]', '[9963, 1107, 8*w^2 + 8*w - 3]', '[9963, 1107, -7*w^2 + 13*w + 30]', '[9963, 1107, -6*w^2 + 15*w + 21]', '[9963, 1107, 9*w^2 + 15*w - 9]', '[9963, 3321, w^2 + 9*w - 13]', '[9963, 3321, 11*w^2 + 23*w]', '[9963, 3321, 7*w^2 + 9*w - 25]', '[9963, 3321, -2*w^2 + 11*w + 27]', '[9963, 3321, 7*w^2 + w + 3]', '[9963, 3321, 4*w^2 + 11*w + 15]', '[9963, 9963, 5*w^2 + 20*w + 2]', '[9963, 9963, 10*w^2 - 9*w - 9]', '[9963, 9963, -8*w^2 + 26*w + 7]', '[9971, 767, 7*w^2 - 2*w - 28]', '[9971, 9971, 5*w^2 + 4*w - 38]', '[9973, 9973, -22*w^2 + 13*w + 151]', '[9973, 9973, 7*w^2 - 9*w - 47]', '[9973, 9973, -6*w - 25]', '[9977, 9977, 3*w^2 + 6*w - 28]', '[9981, 3327, -4*w^2 + 17*w - 6]', '[9981, 3327, -8*w^2 + 9*w + 56]', '[9981, 3327, 5*w^2 + 4*w - 39]', '[9981, 3327, 5*w^2 + 7*w + 9]', '[9981, 3327, 8*w^2 + 12*w - 5]', '[9981, 3327, -2*w^2 + 7*w + 36]', '[9981, 3327, 13*w^2 - 10*w - 87]', '[9981, 3327, 8*w^2 - 13*w - 36]', '[9981, 3327, -16*w^2 + 3*w + 106]', '[9981, 9981, -6*w^2 + 13*w + 25]', '[9981, 9981, 7*w^2 - 27]', '[9981, 9981, -4*w^2 - 5*w + 35]', '[9981, 9981, 10*w^2 + 5*w - 41]', '[9981, 9981, -3*w^2 + 13*w + 17]', '[9981, 9981, -3*w^2 - 7*w + 19]', '[9981, 9981, 9*w^2 + 13*w - 15]', '[9981, 9981, 11*w^2 + 17*w - 19]', '[9981, 9981, w^2 - 15*w - 45]', '[9987, 9987, 10*w - 17]', '[9987, 9987, -9*w^2 + 19*w + 27]', '[9987, 9987, 9*w^2 + w - 61]', '[9991, 9991, -w^2 + 19*w + 13]', '[9991, 9991, -7*w^2 + 19*w - 5]', '[9991, 9991, 9*w^2 - 3*w - 46]', '[9997, 9997, -25*w^2 + 8*w + 172]', '[9997, 9997, -4*w^2 + 11*w + 43]', '[9997, 9997, -4*w^2 - 5*w + 31]', '[9999, 3333, 8*w^2 + 5*w - 27]', '[9999, 3333, 7*w^2 + 3*w - 58]', '[9999, 3333, -11*w^2 + 14*w + 54]', '[9999, 9999, -4*w^2 + 17*w - 4]', '[9999, 9999, 5*w + 24]', '[9999, 9999, -5*w^2 + 20*w - 11]'], 'label': '3.3.1129.1', 'narrow_class_no': 2, 'primes': ['[3, 3, w]', '[3, 3, w + 1]', '[3, 3, w + 2]', '[8, 2, 2]', '[11, 11, -w^2 + 5]', '[13, 13, w^2 - w - 7]', '[17, 17, -w^2 + w + 4]', '[19, 19, -w^2 - w + 4]', '[29, 29, 2*w^2 - 2*w - 11]', '[31, 31, w^2 - 2*w - 4]', '[37, 37, -2*w^2 + 3*w + 7]', '[41, 41, w^2 - 2]', '[59, 59, 2*w^2 - 13]', '[61, 61, w^2 + w - 10]', '[67, 67, 2*w^2 - w - 11]', '[73, 73, -w^2 - 1]', '[83, 83, w^2 - w - 10]', '[89, 89, -w^2 + 4*w - 2]', '[97, 97, w^2 - 2*w - 7]', '[97, 97, -w^2 - 4*w - 5]', '[97, 97, 2*w^2 + w - 8]', '[101, 101, -4*w^2 + 2*w + 25]', '[103, 103, w^2 + w - 7]', '[107, 107, -3*w - 4]', '[109, 109, 5*w^2 - 3*w - 31]', '[121, 11, 2*w^2 - 3*w - 4]', '[125, 5, -5]', '[137, 137, -5*w^2 + 3*w + 34]', '[139, 139, w^2 + 2*w - 4]', '[151, 151, 3*w^2 - 23]', '[151, 151, w^2 - 3*w - 5]', '[151, 151, 3*w^2 - 3*w - 17]', '[157, 157, 4*w^2 - 9*w - 8]', '[157, 157, w^2 + 3*w - 2]', '[157, 157, 2*w^2 - w - 2]', '[167, 167, 2*w^2 + w - 11]', '[167, 167, -w^2 + 11]', '[167, 167, -3*w^2 + 19]', '[169, 13, w^2 - 4*w - 4]', '[173, 173, 2*w^2 - 3*w - 10]', '[179, 179, -3*w + 7]', '[191, 191, -w^2 + 5*w - 5]', '[193, 193, -w^2 + w - 2]', '[199, 199, 3*w - 2]', '[211, 211, w^2 - 3*w - 11]', '[223, 223, 3*w^2 - 20]', '[223, 223, w^2 - 5*w - 4]', '[223, 223, 2*w^2 - w - 8]', '[229, 229, 4*w^2 - 3*w - 26]', '[229, 229, 2*w^2 + w - 20]', '[229, 229, 2*w^2 - 2*w - 5]', '[239, 239, -6*w^2 + 3*w + 38]', '[241, 241, -w^2 + 4*w - 5]', '[257, 257, -2*w^2 + 5*w - 1]', '[263, 263, -2*w^2 - w + 17]', '[269, 269, -w^2 - w + 13]', '[269, 269, 3*w - 4]', '[269, 269, -4*w^2 + w + 31]', '[271, 271, 2*w^2 - 7]', '[271, 271, 3*w - 5]', '[271, 271, w^2 - 3*w - 8]', '[289, 17, 2*w^2 + w - 5]', '[307, 307, 2*w^2 - w - 5]', '[311, 311, 3*w^2 - 3*w - 19]', '[311, 311, -7*w^2 + 13*w + 19]', '[311, 311, w^2 - 2*w - 13]', '[313, 313, w^2 + 2*w - 7]', '[317, 317, -5*w^2 + w + 35]', '[331, 331, -w^2 + 3*w - 4]', '[337, 337, 3*w^2 - 3*w - 13]', '[343, 7, -7]', '[347, 347, 2*w^2 - 3*w - 13]', '[349, 349, 3*w^2 - 3*w - 20]', '[359, 359, -w^2 + 5*w - 2]', '[361, 19, -2*w^2 + 7*w - 1]', '[389, 389, -2*w^2 + w - 1]', '[397, 397, w^2 - 6*w + 10]', '[401, 401, 6*w^2 - 3*w - 44]', '[419, 419, -3*w^2 + 6*w + 10]', '[419, 419, 4*w^2 - 2*w - 31]', '[419, 419, -4*w^2 + 4*w + 19]', '[421, 421, 6*w^2 - 12*w - 13]', '[431, 431, 4*w^2 - 7*w - 10]', '[433, 433, w^2 - 4*w - 7]', '[443, 443, 2*w^2 + 4*w - 5]', '[443, 443, 5*w^2 - 11*w - 11]', '[443, 443, 3*w^2 - 14]', '[449, 449, -2*w^2 + 2*w - 1]', '[457, 457, w^2 - 6*w - 5]', '[457, 457, w^2 + 3*w - 5]', '[457, 457, 6*w^2 - 3*w - 37]', '[463, 463, w^2 + 5*w - 1]', '[467, 467, w^2 - w - 13]', '[479, 479, 5*w^2 - 9*w - 16]', '[487, 487, -6*w - 5]', '[499, 499, 3*w^2 - 3*w - 4]', '[499, 499, 3*w^2 + 3*w - 1]', '[499, 499, w^2 - 5*w + 8]', '[503, 503, 4*w^2 - 5*w - 16]', '[509, 509, 2*w^2 - 5*w - 8]', '[521, 521, 4*w^2 - w - 22]', '[523, 523, w^2 - 5*w - 16]', '[547, 547, 5*w^2 - 2*w - 38]', '[547, 547, 8*w^2 - 3*w - 58]', '[547, 547, 4*w^2 - 29]', '[557, 557, 7*w^2 - 4*w - 43]', '[557, 557, 3*w - 11]', '[557, 557, 2*w^2 - 4*w - 11]', '[569, 569, 5*w^2 - 4*w - 32]', '[569, 569, 3*w^2 - 3*w - 11]', '[569, 569, w^2 + 2*w - 16]', '[571, 571, w^2 - 4*w - 10]', '[593, 593, 2*w^2 - 6*w - 7]', '[601, 601, -w^2 - 3*w + 14]', '[607, 607, 3*w^2 + 3*w - 7]', '[619, 619, 3*w^2 - 6*w - 11]', '[631, 631, -w^2 - w - 5]', '[641, 641, 3*w^2 - 3*w - 5]', '[647, 647, -w^2 + 6*w - 1]', '[653, 653, -5*w^2 + 4*w + 35]', '[661, 661, 3*w^2 - 3*w - 10]', '[673, 673, w^2 + 4*w - 4]', '[677, 677, 5*w^2 - 6*w - 25]', '[677, 677, w^2 - 14]', '[677, 677, 4*w^2 - 3*w - 20]', '[691, 691, 5*w^2 - 2*w - 29]', '[701, 701, 5*w^2 - 10*w - 14]', '[719, 719, -3*w - 11]', '[727, 727, -2*w^2 + 9*w - 8]', '[733, 733, -w^2 - 4*w - 8]', '[739, 739, w^2 + 3*w - 8]', '[743, 743, 2*w^2 - 4*w - 17]', '[757, 757, -w^2 + w - 5]', '[769, 769, 3*w^2 - 3*w - 7]', '[769, 769, -w^2 - 3*w - 7]', '[769, 769, 5*w^2 - 3*w - 28]', '[773, 773, 7*w^2 - 6*w - 38]', '[787, 787, 2*w^2 - w - 20]', '[797, 797, -5*w^2 + 14*w - 1]', '[821, 821, -w^2 + 6*w - 4]', '[823, 823, 7*w^2 - 6*w - 41]', '[839, 839, 4*w^2 - 6*w - 11]', '[841, 29, 5*w^2 - 4*w - 26]', '[857, 857, 3*w^2 - 11]', '[863, 863, 2*w^2 + 2*w - 17]', '[881, 881, 5*w^2 - 5*w - 29]', '[883, 883, -4*w^2 + 8*w + 13]', '[907, 907, 4*w^2 - 9*w - 11]', '[911, 911, 2*w^2 + 3*w - 10]', '[947, 947, 2*w^2 + 5*w - 5]', '[953, 953, 2*w^2 - 5*w - 11]', '[961, 31, w^2 - 5*w - 13]', '[967, 967, 2*w^2 - 3*w - 22]', '[967, 967, 5*w^2 - 9*w - 10]', '[967, 967, 3*w^2 - 10]', '[977, 977, 5*w^2 - 37]', '[983, 983, 7*w^2 - 5*w - 40]', '[997, 997, -7*w^2 + 5*w + 49]']}
32. label: 3.3.1345.1
    {'degree': 3, 'discriminant': 1345, 'ideals': ['[1, 1, 1]', '[5, 5, -w - 1]', '[5, 5, w + 2]', '[7, 7, w + 3]', '[7, 7, -w + 2]', '[7, 7, -w + 1]', '[8, 2, 2]', '[13, 13, -w^2 + w + 4]', '[19, 19, -w^2 + 5]', '[23, 23, -w^2 - w + 3]', '[25, 5, w^2 - 2*w - 3]', '[25, 5, -w^2 + w + 6]', '[25, 25, -w^2 - w + 5]', '[27, 3, 3]', '[29, 29, w^2 - w - 3]', '[31, 31, w^2 - w - 8]', '[35, 35, w^2 - w - 7]', '[35, 35, -w^2 + 4]', '[35, 35, -2*w + 1]', '[35, 35, w^2 - w - 2]', '[35, 35, -w^2 - w + 2]', '[35, 35, w - 4]', '[37, 37, -w - 4]', '[40, 10, -2*w - 2]', '[40, 10, 2*w + 4]', '[43, 43, 2*w^2 - 4*w - 3]', '[47, 47, w^2 - 3]', '[49, 7, -w^2 - w + 6]', '[49, 7, w^2 - 3*w + 2]', '[49, 7, -w^2 - 2*w + 3]', '[49, 49, -w^2 + 2]', '[49, 49, -w^2 - w + 9]', '[49, 49, 2*w + 3]', '[53, 53, 2*w^2 - w - 11]', '[56, 14, 2*w + 6]', '[56, 14, -2*w + 4]', '[56, 14, -2*w + 2]', '[59, 59, w^2 - 2*w - 4]', '[64, 4, 4]', '[65, 65, 2*w - 3]', '[65, 65, -w^2 - w + 7]', '[67, 67, w^2 + w - 8]', '[71, 71, w^2 + w - 11]', '[73, 73, -w^2 + 4*w - 2]', '[89, 89, 2*w^2 + w - 12]', '[89, 89, w^2 - 10]', '[89, 89, w - 5]', '[91, 91, w + 5]', '[91, 91, -2*w^2 + 11]', '[91, 91, w^2 + 3*w + 3]', '[95, 95, -2*w^2 - 2*w + 9]', '[95, 95, w^2 + 2*w - 4]', '[97, 97, w^2 - 2*w - 5]', '[101, 101, 2*w^2 - w - 17]', '[103, 103, -2*w^2 - 2*w + 7]', '[104, 26, -2*w^2 + 2*w + 8]', '[109, 109, w^2 - 3*w - 3]', '[115, 115, -2*w^2 + w + 10]', '[115, 115, 2*w^2 - 3*w - 5]', '[125, 5, 5]', '[125, 25, w^2 - 2*w + 2]', '[125, 25, -w^2 + w + 11]', '[125, 125, 2*w^2 + 3*w - 4]', '[127, 127, 2*w^2 + w - 9]', '[133, 133, w^2 - 3*w + 3]', '[133, 133, -w^2 + 2*w + 6]', '[133, 133, -2*w^2 + 2*w + 11]', '[135, 15, -3*w - 3]', '[135, 15, 3*w + 6]', '[137, 137, 2*w^2 + w - 13]', '[137, 137, -2*w^2 + 3*w + 8]', '[137, 137, w^2 - 2*w - 10]', '[139, 139, 2*w - 7]', '[145, 145, w^2 + 2*w - 5]', '[145, 145, -3*w + 2]', '[152, 38, -2*w^2 + 10]', '[155, 155, 2*w + 7]', '[155, 155, w^2 - 3*w - 15]', '[161, 161, 3*w + 4]', '[161, 161, w^2 - w + 2]', '[161, 161, -w^2 + 2*w + 7]', '[163, 163, -3*w - 5]', '[163, 163, 2*w^2 - 3*w - 3]', '[163, 163, 2*w^2 + w - 14]', '[169, 13, -w^2 + 5*w - 5]', '[169, 169, -w^2 + 2*w + 9]', '[173, 173, w - 6]', '[175, 35, w^2 - 2*w - 8]', '[175, 35, -2*w^2 - 3*w + 2]', '[175, 35, -2*w^2 - 3*w + 7]', '[175, 35, w^2 + 3*w - 3]', '[175, 35, -2*w^2 + 2*w + 7]', '[175, 35, w^2 - 2*w - 13]', '[175, 175, w + 6]', '[175, 175, -w^2 + 3*w + 4]', '[175, 175, -w^2 + 11]', '[179, 179, -2*w^2 + 6*w - 3]', '[181, 181, 2*w^2 - w - 9]', '[184, 46, -2*w^2 - 2*w + 6]', '[185, 185, w^2 + 5*w + 4]', '[185, 185, -w^2 - 6*w - 8]', '[189, 21, 3*w + 9]', '[189, 21, -3*w + 6]', '[189, 21, -3*w + 3]', '[193, 193, w^2 + 2*w - 6]', '[193, 193, -w^2 - 2*w - 3]', '[193, 193, w^2 + 2*w - 11]', '[200, 10, 2*w^2 - 4*w - 6]', '[200, 10, -2*w^2 + 2*w + 12]', '[200, 50, -2*w^2 - 2*w + 10]', '[203, 203, 2*w^2 + w - 8]', '[203, 203, 3*w^2 - 6*w - 7]', '[203, 203, 2*w^2 - 5*w - 4]', '[215, 215, 2*w^2 - 7*w + 1]', '[215, 215, 3*w - 4]', '[216, 6, 6]', '[217, 217, 3*w^2 - w - 17]', '[217, 217, 2*w^2 - 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3*w - 15]', '[9857, 9857, -11*w + 21]', '[9859, 9859, 5*w^2 - 11*w - 20]', '[9869, 9869, 7*w^2 + 7*w - 6]', '[9871, 9871, 6*w^2 - 3*w - 13]', '[9880, 2470, -6*w^2 - 2*w + 10]', '[9880, 2470, 6*w^2 - 8*w - 34]', '[9883, 9883, 6*w^2 - w - 10]', '[9887, 9887, w^2 + 2*w - 27]', '[9893, 9893, 9*w^2 - 19*w - 21]', '[9899, 9899, 9*w^2 + 4*w - 81]', '[9905, 9905, -5*w^2 - 9*w + 21]', '[9905, 9905, -3*w^2 - 8*w - 14]', '[9905, 9905, -9*w^2 - 23*w - 10]', '[9905, 9905, -6*w^2 + 3*w + 14]', '[9905, 9905, -2*w^2 - 20*w - 7]', '[9905, 9905, 5*w^2 + w + 6]', '[9909, 1101, 12*w^2 - 9*w - 60]', '[9909, 1101, 6*w^2 + 3*w - 12]', '[9909, 1101, -3*w^2 - 9*w - 15]', '[9913, 9913, 7*w^2 - 4*w - 28]', '[9919, 9919, -2*w^2 - 17*w - 9]', '[9919, 9919, 2*w^2 - 11*w - 14]', '[9919, 9919, 3*w^2 + 7*w - 27]', '[9920, 620, 8*w + 28]', '[9920, 620, 4*w^2 - 12*w - 60]', '[9923, 9923, 3*w^2 - 12*w - 13]', '[9925, 1985, -11*w^2 + 37*w - 17]', '[9925, 1985, -2*w^2 - 13*w + 47]', '[9925, 1985, -4*w^2 + 8*w + 27]', '[9925, 1985, 7*w^2 - 7*w - 57]', '[9925, 1985, 3*w^2 + 7*w - 28]', '[9925, 1985, 3*w^2 - 16*w + 11]', '[9925, 9925, w^2 - 11*w - 27]', '[9925, 9925, 13*w^2 + 16*w - 47]', '[9925, 9925, -7*w^2 + 7*w + 44]', '[9931, 9931, -3*w^2 + 16*w - 10]', '[9941, 9941, 4*w^2 + 12*w - 11]', '[9947, 203, 7*w^2 - 7*w - 21]', '[9947, 1421, 3*w^2 + 6*w - 44]', '[9947, 1421, -8*w^2 + 27*w - 8]', '[9947, 1421, -4*w^2 + 5*w - 8]', '[9947, 1421, 10*w^2 - 11*w - 39]', '[9947, 1421, 6*w^2 - 2*w - 11]', '[9947, 1421, 5*w^2 + 6*w - 32]', '[9947, 9947, 13*w^2 - 22*w - 33]', '[9947, 9947, -3*w^2 + 10*w - 15]', '[9947, 9947, 13*w^2 - 25*w - 31]', '[9953, 9953, 6*w^2 + w - 18]', '[9953, 9953, w^2 + 10*w - 13]', '[9959, 9959, -w^2 - 14*w - 22]', '[9961, 9961, 11*w^2 + 5*w - 65]', '[9961, 9961, 8*w^2 - w - 40]', '[9961, 9961, -w^2 - 3*w - 18]', '[9965, 9965, -w^2 - 11*w + 10]', '[9965, 9965, -4*w^2 - 11*w + 13]', '[9965, 9965, -4*w^2 - 20*w - 19]', '[9965, 9965, 5*w^2 + 8*w - 24]', '[9965, 9965, 8*w^2 + 11*w - 30]', '[9965, 9965, 3*w^2 + 18*w + 10]', '[9967, 9967, 7*w^2 + 6*w - 63]', '[9971, 767, 3*w^2 + 11*w - 11]', '[9971, 9971, 2*w^2 + w - 32]', '[9973, 9973, 7*w^2 + 5*w - 44]', '[9976, 2494, 10*w^2 - 56]', '[9989, 9989, -w^2 + 7*w + 32]', '[9989, 9989, 8*w^2 - w - 68]', '[9989, 9989, 5*w^2 + 10*w - 61]', '[9989, 9989, w^2 + 14*w + 12]', '[9989, 9989, 10*w^2 - 5*w - 84]', '[9989, 9989, -4*w^2 + 21*w - 24]', '[9989, 9989, -3*w^2 + 26*w - 47]', '[9989, 9989, -8*w^2 + 13*w + 30]', '[9989, 9989, 2*w^2 + 9*w - 32]', '[9991, 9991, 7*w^2 + 8*w - 33]', '[9995, 9995, 11*w^2 + 12*w - 45]', '[9995, 9995, -6*w^2 - 11*w + 20]', '[9997, 9997, w^2 - 11*w - 15]', '[9997, 9997, w^2 + 21*w - 63]', '[9997, 9997, 3*w^2 + 8*w - 48]'], 'label': '3.3.1345.1', 'narrow_class_no': 1, 'primes': ['[5, 5, -w - 1]', '[5, 5, w + 2]', '[7, 7, w + 3]', '[7, 7, -w + 2]', '[7, 7, -w + 1]', '[8, 2, 2]', '[13, 13, -w^2 + w + 4]', '[19, 19, -w^2 + 5]', '[23, 23, -w^2 - w + 3]', '[27, 3, 3]', '[29, 29, w^2 - w - 3]', '[31, 31, w^2 - w - 8]', '[37, 37, -w - 4]', '[43, 43, 2*w^2 - 4*w - 3]', '[47, 47, w^2 - 3]', '[53, 53, 2*w^2 - w - 11]', '[59, 59, w^2 - 2*w - 4]', '[67, 67, w^2 + w - 8]', '[71, 71, w^2 + w - 11]', '[73, 73, -w^2 + 4*w - 2]', '[89, 89, 2*w^2 + w - 12]', '[89, 89, w^2 - 10]', '[89, 89, w - 5]', '[97, 97, w^2 - 2*w - 5]', '[101, 101, 2*w^2 - w - 17]', '[103, 103, -2*w^2 - 2*w + 7]', '[109, 109, w^2 - 3*w - 3]', '[127, 127, 2*w^2 + w - 9]', '[137, 137, 2*w^2 + w - 13]', '[137, 137, -2*w^2 + 3*w + 8]', '[137, 137, w^2 - 2*w - 10]', '[139, 139, 2*w - 7]', '[163, 163, -3*w - 5]', '[163, 163, 2*w^2 - 3*w - 3]', '[163, 163, 2*w^2 + w - 14]', '[169, 13, -w^2 + 5*w - 5]', '[173, 173, w - 6]', '[179, 179, -2*w^2 + 6*w - 3]', '[181, 181, 2*w^2 - w - 9]', '[193, 193, w^2 + 2*w - 6]', '[193, 193, -w^2 - 2*w - 3]', '[193, 193, w^2 + 2*w - 11]', '[229, 229, w^2 - 3*w - 13]', '[233, 233, w^2 + 2*w - 7]', '[241, 241, -w^2 + 2*w - 3]', '[251, 251, 2*w^2 - 2*w - 13]', '[263, 263, -w^2 + 3*w - 4]', '[269, 269, 2*w^2 - 2*w - 5]', '[269, 269, 3*w^2 + w - 26]', '[271, 271, 2*w^2 + w - 7]', '[281, 281, 2*w^2 - 2*w - 15]', '[283, 283, 2*w^2 + 2*w - 3]', '[293, 293, w - 7]', '[307, 307, -w^2 - 4*w - 6]', '[311, 311, 2*w^2 + 3*w - 8]', '[313, 313, w^2 - 3*w - 6]', '[347, 347, w^2 + 3*w - 5]', '[353, 353, 3*w^2 - 5*w - 6]', '[359, 359, 2*w^2 + w - 5]', '[361, 19, 2*w^2 - w - 4]', '[367, 367, 4*w^2 - 3*w - 20]', '[367, 367, 2*w^2 + w - 4]', '[367, 367, -w^2 - 3*w - 5]', '[373, 373, w^2 - 3*w - 7]', '[373, 373, 4*w - 3]', '[373, 373, 3*w^2 - 16]', '[379, 379, -w^2 + 4*w - 6]', '[397, 397, -3*w^2 + 4*w + 9]', '[397, 397, -3*w - 10]', '[397, 397, 2*w^2 - 5]', '[401, 401, -3*w^2 + 2*w + 14]', '[409, 409, w^2 - w - 13]', '[419, 419, w^2 - 3*w - 8]', '[419, 419, 3*w^2 - 5*w - 4]', '[419, 419, 3*w^2 + 2*w - 17]', '[421, 421, 4*w^2 + w - 22]', '[421, 421, 2*w^2 - w - 19]', '[421, 421, 3*w^2 - 6*w - 8]', '[431, 431, -w^2 + 5*w - 8]', '[433, 433, w^2 + 3*w - 6]', '[439, 439, -w^2 + 6*w - 7]', '[439, 439, 3*w^2 + 3*w - 14]', '[439, 439, -w^2 - w - 4]', '[457, 457, -w - 8]', '[461, 461, 2*w^2 - 3*w - 11]', '[467, 467, 2*w^2 - 19]', '[467, 467, w^2 - 13]', '[467, 467, 2*w^2 + 2*w - 13]', '[479, 479, 2*w^2 + w - 20]', '[487, 487, 2*w^2 + 2*w - 17]', '[499, 499, 4*w - 5]', '[509, 509, 2*w^2 - 5*w - 6]', '[521, 521, 4*w^2 - 4*w - 17]', '[529, 23, 3*w^2 - 4*w - 8]', '[541, 541, -w^2 - 4*w - 7]', '[547, 547, -3*w^2 + 5*w + 11]', '[557, 557, 3*w^2 - 2*w - 13]', '[557, 557, 3*w^2 - 2*w - 27]', '[557, 557, 2*w^2 - 3*w - 12]', '[563, 563, -w^2 + 6*w - 6]', '[569, 569, 2*w^2 + 4*w - 7]', '[571, 571, w^2 + 3*w - 12]', '[587, 587, 2*w^2 - 3*w - 18]', '[593, 593, 3*w^2 - 4*w - 14]', '[601, 601, 2*w^2 + 3*w - 10]', '[613, 613, 3*w^2 - w - 26]', '[613, 613, 2*w^2 + 5*w - 5]', '[613, 613, 3*w^2 + 2*w - 29]', '[617, 617, -w^2 + 2*w - 5]', '[619, 619, w^2 + 3*w - 9]', '[619, 619, -3*w^2 + 8*w + 5]', '[619, 619, 4*w^2 + 3*w - 17]', '[643, 643, 3*w^2 + 4*w - 12]', '[653, 653, 4*w^2 - 3*w - 19]', '[659, 659, -3*w^2 - 2*w + 25]', '[659, 659, 3*w^2 - 14]', '[659, 659, 3*w^2 + w - 13]', '[661, 661, -3*w^2 + 3*w + 10]', '[677, 677, -4*w + 13]', '[677, 677, 4*w^2 + w - 21]', '[677, 677, 2*w^2 - 3*w - 17]', '[691, 691, w^2 - 5*w - 5]', '[701, 701, -2*w^2 + 9*w - 8]', '[709, 709, -5*w - 6]', '[719, 719, 5*w - 11]', '[727, 727, 4*w^2 - w - 22]', '[739, 739, -2*w^2 + 5*w - 4]', '[743, 743, 2*w^2 + 3*w - 11]', '[757, 757, w^2 - 4*w - 8]', '[757, 757, -5*w - 7]', '[757, 757, w^2 + 2*w - 16]', '[761, 761, 5*w - 4]', '[769, 769, 4*w^2 - 7*w - 7]', '[769, 769, 3*w^2 - w - 13]', '[769, 769, 4*w^2 - 5*w - 18]', '[773, 773, 2*w^2 + 5*w + 5]', '[787, 787, w^2 - 3*w - 17]', '[797, 797, 3*w^2 - 3*w - 19]', '[797, 797, w^2 - 4*w - 13]', '[797, 797, 3*w^2 + 2*w - 24]', '[809, 809, 3*w^2 + 2*w - 20]', '[823, 823, 4*w^2 - 3*w - 25]', '[827, 827, 3*w^2 + 5*w - 10]', '[829, 829, w^2 - 4*w - 9]', '[839, 839, 2*w^2 + 5*w - 6]', '[841, 29, 3*w^2 + 2*w - 10]', '[863, 863, w^2 + 4*w - 20]', '[877, 877, 3*w^2 + 3*w - 7]', '[881, 881, 7*w^2 + w - 42]', '[887, 887, -w^2 + 7*w - 9]', '[907, 907, 3*w^2 - w - 12]', '[911, 911, 3*w^2 - 3*w - 5]', '[919, 919, 5*w^2 - 29]', '[929, 929, w - 10]', '[937, 937, w^2 + 4*w - 15]', '[937, 937, w^2 - 2*w - 16]', '[937, 937, 3*w^2 - w - 27]', '[941, 941, 4*w^2 - 3*w - 18]', '[947, 947, 4*w^2 + w - 20]', '[947, 947, 4*w^2 - 7*w - 13]', '[947, 947, 3*w^2 - 2*w - 28]', '[961, 31, 5*w^2 - 2*w - 28]', '[971, 971, 4*w^2 - 3*w - 26]', '[971, 971, -4*w^2 - 7*w + 3]', '[971, 971, 5*w - 9]', '[977, 977, 5*w^2 - w - 29]', '[983, 983, 2*w^2 + 2*w - 23]', '[991, 991, 2*w^2 + 3*w - 13]', '[997, 997, -w^2 + w - 6]']}
33. label: 3.3.1229.1
    {'degree': 3, 'discriminant': 1229, 'ideals': ['[1, 1, 1]', '[2, 2, w^2 + 2*w - 2]', '[3, 3, -w + 3]', '[4, 2, -w^2 + w + 5]', '[4, 4, w - 2]', '[6, 6, w]', '[8, 2, 2]', '[8, 8, -w - 2]', '[9, 3, w^2 + 2*w - 1]', '[9, 9, -w - 3]', '[11, 11, w + 1]', '[12, 6, w^2 + w - 3]', '[12, 12, -2*w^2 - 3*w + 6]', '[13, 13, -2*w^2 - 3*w + 5]', '[16, 4, 2*w^2 + 4*w - 4]', '[16, 4, w^2 + w - 5]', '[16, 16, -w^2 - w + 10]', '[17, 17, -2*w + 5]', '[18, 6, w^2 - w - 4]', '[18, 18, -w^2 + 3*w]', '[19, 19, -w^2 + 5]', '[22, 22, 3*w - 8]', '[23, 23, -w^2 + 2*w + 1]', '[24, 6, -2*w + 6]', '[24, 24, w^2 - w - 6]', '[26, 26, w - 4]', '[27, 3, 3]', '[27, 27, w^2 - 9]', '[29, 29, 3*w^2 + 6*w - 5]', '[32, 4, -2*w^2 + 2*w + 10]', '[32, 8, 2*w - 4]', '[32, 32, -w^2 + 4]', '[33, 33, -w^2 + 2*w + 3]', '[34, 34, -w^2 + 2]', '[36, 6, -w^2 + w + 7]', '[36, 12, w^2 + 2*w - 4]', '[36, 18, w^2 - w - 3]', '[36, 36, -w^2 - w + 6]', '[37, 37, 4*w^2 - 2*w - 25]', '[38, 38, -3*w^2 - 5*w + 8]', '[39, 39, -w^2 + 3]', '[44, 22, -w^2 - w + 11]', '[44, 44, w^2 - w - 2]', '[46, 46, w + 4]', '[48, 12, 2*w]', '[48, 12, w^2 + w - 9]', '[48, 48, -w^2 - 2*w]', '[51, 51, 2*w^2 + 2*w - 9]', '[52, 26, -w^2 - w + 7]', '[52, 52, -w^2 - 3*w + 2]', '[54, 6, 3*w^2 + 6*w - 6]', '[54, 54, -w^2 - 3*w]', '[57, 57, -2*w^2 + 2*w + 9]', '[58, 58, w^2 + w - 8]', '[64, 4, 4]', '[64, 8, w^2 - 3*w - 1]', '[64, 16, -2*w - 4]', '[64, 64, -4*w^2 - 7*w + 10]', '[66, 66, w^2 + w]', '[67, 67, 2*w^2 + 2*w - 7]', '[67, 67, -2*w^2 - 5*w + 1]', '[67, 67, 2*w^2 + 3*w - 7]', '[68, 34, -w^2 - 3*w + 1]', '[68, 68, 3*w^2 + 6*w - 4]', '[69, 69, 3*w^2 + 4*w - 9]', '[71, 71, w - 5]', '[72, 6, 2*w^2 + 4*w - 2]', '[72, 18, -2*w - 6]', '[72, 24, -2*w^2 + 5*w + 2]', '[72, 72, -5*w^2 - 8*w + 12]', '[73, 73, w^2 + 2*w - 5]', '[73, 73, 2*w^2 - w - 11]', '[73, 73, -2*w - 1]', '[74, 74, w^2 - 10]', '[76, 38, w^2 - 5*w + 7]', '[76, 76, w^2 - 2*w - 4]', '[78, 78, 2*w^2 + 5*w]', '[81, 9, -3*w + 9]', '[81, 9, -w^2 + 4*w - 5]', '[81, 81, 2*w^2 + 2*w - 21]', '[83, 83, 4*w^2 - 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40]', '[9906, 9906, 3*w^2 - 10*w + 18]', '[9907, 9907, 15*w^2 - 12*w - 83]', '[9908, 4954, 9*w^2 + 27*w - 143]', '[9908, 9908, -13*w^2 + 32*w + 8]', '[9913, 9913, -7*w^2 + 36*w - 43]', '[9914, 9914, 45*w^2 + 78*w - 94]', '[9914, 9914, 15*w^2 + 8*w - 134]', '[9914, 9914, 9*w^2 + 3*w - 44]', '[9916, 4958, 19*w^2 - 29*w - 65]', '[9916, 4958, w^2 + 27*w - 83]', '[9916, 4958, 17*w^2 - 13*w - 91]', '[9916, 9916, -11*w^2 + 30*w - 4]', '[9916, 9916, 5*w^2 - 29*w + 38]', '[9916, 9916, w^2 - 10*w + 28]', '[9918, 3306, -w^2 - 14*w - 26]', '[9918, 9918, -9*w^2 - 8*w + 30]', '[9921, 9921, 16*w^2 - 25*w - 51]', '[9923, 9923, 6*w^2 - 13*w - 17]', '[9927, 3309, 25*w^2 + 38*w - 67]', '[9927, 9927, -18*w^2 - 17*w + 75]', '[9928, 2482, 8*w^2 - 16*w - 10]', '[9928, 2482, 16*w^2 - 22*w - 62]', '[9928, 2482, -2*w^2 + 12*w - 26]', '[9928, 9928, -4*w^2 - 7*w + 34]', '[9928, 9928, -3*w^2 + 8*w + 20]', '[9928, 9928, -13*w^2 - 3*w + 110]', '[9931, 9931, 12*w^2 - 3*w - 73]', '[9932, 4966, -17*w^2 + 65*w - 53]', '[9932, 9932, -7*w^2 + 21*w + 2]', '[9934, 9934, -23*w^2 - 44*w + 46]', '[9934, 9934, 6*w^2 + 17*w - 4]', '[9934, 9934, -29*w^2 - 55*w + 64]', '[9936, 276, 6*w + 24]', '[9936, 276, 3*w^2 - 9*w - 15]', '[9936, 1104, 18*w^2 + 27*w - 42]', '[9936, 2484, -9*w^2 + 7*w + 57]', '[9936, 2484, 4*w^2 + 10*w - 24]', '[9936, 9936, -11*w^2 - 12*w + 36]', '[9939, 9939, -8*w^2 - 6*w + 21]', '[9941, 9941, 5*w^2 + 6*w - 41]', '[9942, 9942, w^2 - 9*w - 12]', '[9942, 9942, -3*w^2 + 23*w - 36]', '[9942, 9942, -12*w^2 - 25*w + 12]', '[9944, 2486, 10*w - 34]', '[9944, 2486, 10*w^2 + 4*w - 50]', '[9944, 2486, -6*w^2 - 20*w - 14]', '[9944, 9944, -17*w^2 - 14*w + 80]', '[9944, 9944, -7*w^2 + 8*w + 4]', '[9944, 9944, 19*w^2 + 48*w - 4]', '[9947, 203, 21*w^2 + 42*w - 35]', '[9948, 4974, w^2 + 11*w + 3]', '[9948, 4974, -7*w^2 - 3*w + 21]', '[9948, 4974, -17*w^2 - 35*w + 27]', '[9948, 9948, 43*w^2 + 81*w - 78]', '[9948, 9948, 12*w^2 + 17*w - 42]', '[9948, 9948, -7*w^2 - 16*w]', '[9949, 9949, 20*w^2 + 39*w - 41]', '[9952, 1244, -10*w^2 - 6*w + 58]', '[9952, 2488, -12*w^2 - 26*w + 20]', '[9952, 9952, 15*w^2 + 6*w - 128]', '[9953, 9953, 4*w^2 + 14*w - 71]', '[9956, 4978, 5*w^2 + 5*w + 1]', '[9956, 9956, -10*w^2 - 23*w + 14]', '[9957, 9957, 13*w^2 - 18*w - 51]', '[9958, 9958, -7*w^2 - 3*w + 20]', '[9962, 9962, -5*w^2 - 2*w - 2]', '[9962, 9962, 18*w^2 + 27*w - 44]', '[9962, 9962, -7*w^2 + 27*w - 28]', '[9966, 9966, -4*w^2 - 19*w + 84]', '[9966, 9966, -2*w^2 - 3*w - 12]', '[9966, 9966, w^2 + 4*w - 30]', '[9967, 9967, 10*w^2 + 7*w - 55]', '[9969, 9969, 2*w^2 + 12*w - 21]', '[9972, 1662, 5*w^2 + 13*w - 23]', '[9972, 1662, 11*w^2 - 23*w - 17]', '[9972, 1662, 13*w^2 + 5*w - 79]', '[9972, 3324, -14*w^2 - 19*w + 38]', '[9972, 3324, 11*w^2 + 25*w - 14]', '[9972, 3324, -5*w^2 - 7*w + 50]', '[9972, 4986, -21*w^2 - 41*w + 39]', '[9972, 4986, -5*w^2 - 7*w + 33]', '[9972, 4986, -w^2 + 3*w + 27]', '[9972, 9972, -3*w^2 + 17*w - 30]', '[9972, 9972, -13*w - 30]', '[9972, 9972, 11*w^2 + 8*w - 48]', '[9973, 9973, 8*w^2 + 3*w - 35]', '[9974, 9974, -29*w^2 - 50*w + 58]', '[9978, 9978, 13*w^2 + 17*w - 36]', '[9984, 312, -4*w^2 - 12*w + 60]', '[9984, 624, -17*w^2 - 21*w + 57]', '[9984, 624, 4*w^2 - 16*w]', '[9984, 2496, 2*w^2 + 2*w + 12]', '[9984, 9984, -4*w^2 - 15*w - 6]', '[9986, 9986, 7*w^2 + 2*w - 26]', '[9987, 9987, -6*w^2 - 11*w + 27]', '[9988, 4994, -11*w^2 - 13*w + 31]', '[9988, 9988, 8*w^2 - 41*w + 50]', '[9991, 9991, 10*w^2 + 6*w - 95]', '[9991, 9991, 4*w^2 - 9*w - 19]', '[9991, 9991, 8*w^2 + 2*w - 37]', '[9992, 2498, 8*w^2 - 8*w - 46]', '[9992, 2498, 16*w^2 - 18*w - 70]', '[9992, 2498, 20*w^2 + 2*w - 154]', '[9992, 9992, 3*w^2 - 16*w + 28]', '[9992, 9992, -8*w^2 + 3*w + 70]', '[9992, 9992, -5*w^2 + 8*w + 28]', '[9994, 9994, -12*w^2 + 11*w + 64]', '[9997, 9997, -12*w^2 - 26*w + 23]', '[9998, 9998, -5*w^2 + 17*w - 20]'], 'label': '3.3.1229.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w^2 + 2*w - 2]', '[3, 3, -w + 3]', '[4, 2, -w^2 + w + 5]', '[9, 3, w^2 + 2*w - 1]', '[11, 11, w + 1]', '[13, 13, -2*w^2 - 3*w + 5]', '[17, 17, -2*w + 5]', '[19, 19, -w^2 + 5]', '[23, 23, -w^2 + 2*w + 1]', '[29, 29, 3*w^2 + 6*w - 5]', '[37, 37, 4*w^2 - 2*w - 25]', '[67, 67, 2*w^2 + 2*w - 7]', '[67, 67, -2*w^2 - 5*w + 1]', '[67, 67, 2*w^2 + 3*w - 7]', '[71, 71, w - 5]', '[73, 73, w^2 + 2*w - 5]', '[73, 73, 2*w^2 - w - 11]', '[73, 73, -2*w - 1]', '[83, 83, 4*w^2 - 31]', '[97, 97, 2*w^2 + 2*w - 5]', '[97, 97, 2*w^2 - 11]', '[97, 97, 2*w - 7]', '[103, 103, 3*w - 5]', '[109, 109, -w - 5]', '[113, 113, -3*w - 7]', '[113, 113, 2*w^2 - 4*w - 5]', '[113, 113, 2*w^2 + w - 13]', '[121, 11, w^2 - 2*w - 5]', '[125, 5, -5]', '[127, 127, -4*w^2 - 7*w + 7]', '[131, 131, 2*w^2 + 3*w - 23]', '[151, 151, 3*w^2 + 4*w - 11]', '[151, 151, 2*w^2 + w - 19]', '[151, 151, w^2 - 11]', '[167, 167, 2*w^2 + 4*w - 7]', '[169, 13, 3*w^2 - 4*w - 11]', '[173, 173, 5*w - 13]', '[191, 191, 6*w - 17]', '[193, 193, w^2 - 2*w - 7]', '[197, 197, -2*w - 7]', '[197, 197, -5*w^2 - 2*w + 43]', '[197, 197, -2*w^2 - 4*w + 1]', '[199, 199, 2*w^2 + w - 7]', '[199, 199, 4*w^2 + 7*w - 11]', '[199, 199, 4*w^2 - 5*w - 17]', '[211, 211, 3*w^2 - 2*w - 19]', '[223, 223, 2*w^2 - 2*w - 7]', '[227, 227, 3*w^2 - 6*w - 7]', '[229, 229, -8*w^2 - 15*w + 17]', '[251, 251, w^2 + 4*w - 1]', '[251, 251, -2*w^2 + 2*w + 13]', '[251, 251, w - 7]', '[257, 257, 4*w^2 - 3*w - 23]', '[263, 263, -w^2 - 4*w - 1]', '[269, 269, 3*w^2 - 17]', '[271, 271, -2*w^2 - 6*w - 1]', '[277, 277, -3*w - 5]', '[277, 277, 3*w^2 + 2*w - 29]', '[277, 277, 3*w^2 + 2*w - 13]', '[281, 281, -2*w^2 - 2*w + 19]', '[289, 17, 4*w^2 + 6*w - 13]', '[293, 293, 3*w^2 - 6*w - 5]', '[293, 293, 2*w^2 - 7]', '[293, 293, -2*w^2 - 5*w - 1]', '[307, 307, 2*w^2 + 3*w - 1]', '[307, 307, 2*w^2 - 5]', '[307, 307, 5*w^2 - 2*w - 31]', '[311, 311, 6*w^2 - 4*w - 35]', '[313, 313, 2*w^2 - w - 7]', '[331, 331, -6*w^2 - 12*w + 13]', '[337, 337, -w - 7]', '[343, 7, -7]', '[347, 347, 4*w^2 - 6*w - 13]', '[349, 349, -6*w^2 - 10*w + 11]', '[353, 353, -4*w^2 + 2*w + 23]', '[359, 359, 2*w^2 + 2*w - 13]', '[361, 19, 2*w^2 - w - 5]', '[373, 373, 4*w^2 + w - 31]', '[383, 383, 4*w^2 + 5*w - 11]', '[397, 397, 8*w^2 - 4*w - 49]', '[401, 401, -6*w^2 - 12*w + 11]', '[419, 419, w^2 - 13]', '[421, 421, w^2 + 4*w - 17]', '[431, 431, 2*w^2 - 4*w - 7]', '[439, 439, -7*w^2 - 12*w + 13]', '[443, 443, 2*w^2 + 2*w - 17]', '[449, 449, 9*w^2 - 67]', '[449, 449, -5*w + 11]', '[449, 449, 7*w^2 + 2*w - 59]', '[457, 457, 6*w^2 + w - 47]', '[461, 461, 6*w^2 - 5*w - 31]', '[467, 467, 2*w^2 + 3*w - 11]', '[487, 487, -9*w^2 - 14*w + 23]', '[491, 491, -4*w - 1]', '[499, 499, -3*w^2 - 4*w + 13]', '[509, 509, 2*w^2 - 3*w - 11]', '[509, 509, -4*w^2 - 11*w - 1]', '[509, 509, 2*w^2 + 4*w - 25]', '[521, 521, -2*w^2 - 6*w + 1]', '[529, 23, 4*w^2 + 3*w - 17]', '[541, 541, -2*w^2 + 3*w + 19]', '[541, 541, -3*w^2 - 8*w + 1]', '[541, 541, -9*w^2 - 16*w + 17]', '[563, 563, -4*w^2 - 9*w + 7]', '[563, 563, 3*w^2 + 2*w - 19]', '[563, 563, 4*w^2 - 8*w - 7]', '[571, 571, 5*w - 1]', '[593, 593, w^2 + 6*w - 23]', '[599, 599, w^2 + 6*w - 25]', '[617, 617, 4*w^2 - w - 23]', '[619, 619, -4*w^2 - 7*w + 5]', '[631, 631, -6*w^2 - 10*w + 17]', '[641, 641, 7*w^2 - 4*w - 41]', '[643, 643, -6*w^2 - 3*w + 53]', '[653, 653, 3*w^2 - 2*w - 13]', '[653, 653, 2*w^2 + 3*w - 25]', '[653, 653, -10*w^2 - 16*w + 23]', '[659, 659, 4*w^2 + w - 35]', '[677, 677, 4*w^2 + 4*w - 13]', '[683, 683, -3*w^2 - 2*w + 25]', '[691, 691, 2*w^2 + 3*w - 13]', '[691, 691, 2*w^2 + 2*w - 23]', '[691, 691, 3*w^2 + 6*w - 11]', '[709, 709, 4*w^2 + 4*w - 19]', '[709, 709, 2*w^2 - 3*w - 13]', '[709, 709, 4*w^2 - 3*w - 25]', '[719, 719, -4*w - 5]', '[727, 727, 6*w^2 + 8*w - 13]', '[739, 739, 5*w + 11]', '[751, 751, 12*w^2 - 4*w - 79]', '[757, 757, 3*w^2 - 13]', '[761, 761, -5*w^2 - 4*w + 25]', '[769, 769, w^2 + 4*w - 11]', '[773, 773, 2*w^2 - 3*w - 17]', '[787, 787, 6*w^2 + 8*w - 17]', '[797, 797, -6*w + 13]', '[809, 809, -4*w^2 + 4*w + 17]', '[811, 811, -7*w^2 - 12*w + 19]', '[821, 821, -5*w^2 - 2*w + 31]', '[829, 829, 2*w - 11]', '[829, 829, w^2 + 4*w - 13]', '[829, 829, -4*w^2 - 5*w + 17]', '[839, 839, -3*w - 11]', '[841, 29, 14*w^2 + 23*w - 31]', '[853, 853, 6*w^2 + 3*w - 31]', '[857, 857, -6*w^2 + 2*w + 37]', '[883, 883, -4*w^2 - 7*w + 49]', '[883, 883, 10*w^2 - 77]', '[883, 883, 2*w^2 + 3*w - 19]', '[887, 887, -4*w^2 + 3*w + 19]', '[887, 887, 8*w^2 + 12*w - 19]', '[887, 887, w^2 + 2*w - 17]', '[919, 919, -5*w - 1]', '[929, 929, 5*w^2 - 4*w - 29]', '[941, 941, 3*w^2 - 2*w - 11]', '[947, 947, -6*w^2 - 6*w + 23]', '[947, 947, 6*w^2 - 3*w - 35]', '[947, 947, 2*w^2 + 3*w - 17]', '[953, 953, 3*w^2 + 4*w - 35]', '[953, 953, 7*w^2 + 10*w - 17]', '[953, 953, 3*w^2 - 11]']}
34. label: 3.3.1257.1
    {'degree': 3, 'discriminant': 1257, 'ideals': ['[1, 1, 1]', '[3, 3, -w + 3]', '[3, 3, w - 2]', '[5, 5, w^2 + w - 5]', '[8, 2, 2]', '[9, 3, w^2 + w - 6]', '[9, 3, w^2 + 2*w - 2]', '[9, 9, w]', '[13, 13, w + 2]', '[13, 13, -2*w + 5]', '[13, 13, -w^2 - w + 4]', '[15, 15, w + 1]', '[15, 15, w^2 - 6]', '[19, 19, -w^2 + w + 4]', '[23, 23, -w^2 - w + 7]', '[24, 6, -2*w + 6]', '[24, 6, 2*w - 4]', '[25, 5, w^2 - 2*w - 1]', '[25, 25, -w + 4]', '[27, 3, 3]', '[27, 9, w^2 + w - 9]', '[27, 9, w^2 + 2*w - 5]', '[27, 27, -w^2 + 3*w]', '[29, 29, w^2 - 5]', '[31, 31, w^2 + w - 8]', '[39, 39, -w - 4]', '[39, 39, -w^2 + w + 3]', '[39, 39, -w^2 + w + 6]', '[39, 39, w^2 - 10]', '[39, 39, w^2 - 4]', '[39, 39, -w^2 + 3]', '[40, 10, 2*w^2 + 2*w - 10]', '[41, 41, w^2 + w - 11]', '[45, 15, -w^2 + 2*w + 3]', '[45, 15, w^2 - w - 2]', '[45, 45, 2*w^2 + 3*w - 9]', '[47, 47, w^2 + 2*w - 1]', '[57, 57, -w^2 - 2*w + 6]', '[57, 57, -2*w^2 - 3*w + 5]', '[59, 59, w^2 + w - 1]', '[61, 61, -w^2 + 5*w - 7]', '[64, 4, 4]', '[65, 65, 2*w^2 - w - 13]', '[65, 65, 3*w - 7]', '[65, 65, w^2 - w - 7]', '[67, 67, 2*w^2 - 13]', '[69, 69, -w^2 - 2*w + 12]', '[69, 69, w - 5]', '[72, 6, 2*w^2 + 2*w - 12]', '[72, 6, 2*w^2 + 4*w - 4]', '[72, 18, 2*w]', '[75, 15, 2*w^2 + w - 12]', '[75, 15, w^2 + 3*w - 1]', '[75, 75, w^2 + 3*w - 3]', '[75, 75, 3*w^2 + 4*w - 14]', '[81, 9, -3*w + 9]', '[81, 9, -w^2 + w + 8]', '[81, 9, 3*w - 6]', '[81, 27, 2*w^2 + 2*w - 9]', '[81, 81, -w^2 + w + 9]', '[87, 87, 2*w^2 - 3*w - 6]', '[87, 87, -w^2 + 3*w + 1]', '[89, 89, -2*w^2 + w + 20]', '[89, 89, 5*w^2 + 8*w - 19]', '[89, 89, w^2 + 2*w - 7]', '[93, 93, w^2 + 3*w - 15]', '[93, 93, -2*w + 7]', '[95, 95, w^2 - 11]', '[101, 101, -w - 5]', '[101, 101, w^2 - 2*w - 4]', '[101, 101, -2*w - 1]', '[103, 103, -3*w^2 - 2*w + 20]', '[104, 26, 2*w + 4]', '[104, 26, -4*w + 10]', '[104, 26, -2*w^2 - 2*w + 8]', '[107, 107, 2*w^2 + 3*w - 10]', '[109, 109, -3*w^2 - 3*w + 17]', '[115, 115, -3*w^2 - 5*w + 8]', '[117, 39, -2*w^2 - w + 19]', '[117, 39, 2*w^2 - 4*w - 3]', '[117, 39, w^2 + w - 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20]', '[177, 177, 5*w - 7]', '[177, 177, w^2 - 4*w + 6]', '[181, 181, 2*w^2 - w - 17]', '[183, 183, w^2 - 12]', '[183, 183, -2*w^2 - 3*w + 11]', '[184, 46, -2*w^2 - 2*w + 14]', '[191, 191, 2*w^2 - w - 16]', '[192, 12, -4*w + 12]', '[192, 12, 4*w - 8]', '[193, 193, 2*w^2 - 2*w - 11]', '[195, 195, -w - 6]', '[195, 195, w^2 + 3*w + 2]', '[195, 195, -2*w^2 + 3*w + 5]', '[195, 195, -3*w^2 - 5*w + 13]', '[195, 195, 2*w^2 + w - 6]', '[195, 195, -2*w^2 - 4*w + 3]', '[197, 197, -7*w^2 - 13*w + 23]', '[199, 199, -2*w^2 - 5*w + 4]', '[199, 199, -w^2 + w + 13]', '[199, 199, -w^2 - 4*w - 2]', '[200, 10, 2*w^2 - 4*w - 2]', '[200, 50, -2*w + 8]', '[201, 201, -2*w^2 + 3*w + 8]', '[201, 201, 4*w^2 - 3*w - 21]', '[205, 205, -4*w^2 - w + 28]', '[207, 69, -4*w^2 + w + 26]', '[207, 69, -2*w^2 - 5*w + 6]', '[207, 207, -2*w^2 - w + 9]', '[211, 211, w^2 + 3*w - 14]', '[216, 6, 6]', '[216, 18, 2*w^2 + 2*w - 18]', '[216, 18, 2*w^2 + 4*w - 10]', '[216, 54, -2*w^2 + 6*w]', '[223, 223, 3*w - 10]', '[225, 15, 2*w^2 + w - 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40]', '[9736, 2434, -10*w^2 - 2*w + 64]', '[9739, 9739, 9*w^2 + 9*w - 34]', '[9739, 9739, 6*w^2 - 2*w - 19]', '[9739, 9739, 8*w^2 + 3*w - 76]', '[9743, 9743, w^2 + 12*w + 22]', '[9745, 9745, -7*w^2 + 14*w + 1]', '[9747, 57, 12*w^2 + 15*w - 48]', '[9747, 171, 7*w^2 + 4*w - 9]', '[9747, 171, 23*w^2 + 43*w - 73]', '[9747, 513, 2*w^2 + 12*w - 27]', '[9747, 1083, 3*w^2 + 12*w - 3]', '[9747, 3249, 8*w^2 + 2*w - 45]', '[9747, 3249, 17*w^2 + 25*w - 58]', '[9747, 9747, 3*w^2 - 10*w + 18]', '[9749, 9749, -15*w^2 - 30*w + 44]', '[9753, 9753, -4*w^2 + 25*w - 42]', '[9753, 9753, 3*w^2 - 23*w + 31]', '[9755, 9755, -4*w^2 + 11*w + 10]', '[9759, 9759, -7*w^2 + 4*w + 60]', '[9759, 9759, w^2 - 9*w - 6]', '[9759, 9759, 6*w^2 + 10*w - 75]', '[9759, 9759, 10*w^2 + 9*w - 49]', '[9759, 9759, -9*w^2 - 8*w + 28]', '[9759, 9759, -3*w^2 - 10*w + 41]', '[9763, 9763, 5*w^2 + 3*w - 55]', '[9763, 9763, 20*w^2 + 21*w - 103]', '[9763, 9763, -11*w^2 - 26*w + 19]', '[9769, 9769, 6*w^2 - 6*w - 13]', '[9771, 9771, 15*w^2 + 19*w - 65]', '[9771, 9771, -4*w^2 + 7*w + 48]', '[9773, 9773, 3*w^2 + 12*w - 2]', '[9773, 9773, -3*w^2 + 8*w + 43]', '[9773, 9773, 13*w^2 + 9*w - 77]', '[9783, 3261, -8*w^2 - 19*w + 22]', '[9783, 3261, -8*w^2 - 5*w + 39]', '[9783, 9783, -4*w^2 + 6*w - 9]', '[9785, 9785, 9*w^2 + 8*w - 41]', '[9787, 9787, 7*w^2 + 7*w - 62]', '[9789, 9789, -11*w^2 + 98]', '[9789, 9789, -9*w^2 + 2*w + 53]', '[9789, 9789, 10*w^2 - 7*w - 51]', '[9789, 9789, 7*w^2 - 3*w - 33]', '[9789, 9789, 16*w^2 - 4*w - 111]', '[9789, 9789, -21*w^2 - 4*w + 173]', '[9791, 9791, 9*w^2 + 5*w - 50]', '[9803, 9803, 5*w^2 - 7*w - 28]', '[9811, 9811, -9*w^2 + 55]', '[9813, 9813, 20*w - 57]', '[9813, 9813, w^2 - 18*w + 35]', '[9817, 9817, 24*w^2 + 45*w - 73]', '[9817, 9817, -23*w^2 - 35*w + 92]', '[9817, 9817, -15*w + 32]', '[9819, 3273, -17*w^2 - 2*w + 123]', '[9819, 3273, 5*w^2 - 5*w - 46]', '[9819, 3273, 5*w^2 - 19*w + 24]', '[9819, 3273, 7*w^2 - w - 35]', '[9819, 3273, w^2 + 10*w + 12]', '[9819, 3273, 16*w^2 + 23*w - 59]', '[9819, 9819, -3*w^2 + 26*w - 45]', '[9819, 9819, 3*w^2 + 13*w - 27]', '[9819, 9819, 2*w^2 + 9*w - 45]', '[9825, 1965, 6*w^2 - 7*w - 66]', '[9825, 1965, -17*w^2 - 21*w + 77]', '[9825, 9825, -9*w^2 - 26*w - 2]', '[9825, 9825, -13*w^2 - 17*w + 51]', '[9833, 9833, -15*w + 28]', '[9837, 3279, 2*w^2 + 11*w + 6]', '[9837, 3279, 17*w^2 + 25*w - 61]', '[9837, 9837, 3*w^2 + 14*w - 27]', '[9839, 9839, 4*w^2 + 10*w - 31]', '[9841, 9841, -w^2 - 16]', '[9841, 9841, 7*w^2 + 7*w - 53]', '[9841, 9841, 13*w^2 - 32*w - 11]', '[9848, 2462, -2*w^2 - 8*w - 14]', '[9848, 2462, 6*w^2 - 4*w - 14]', '[9848, 2462, 8*w^2 - 2*w - 44]', '[9859, 9859, 6*w^2 - 5*w - 13]', '[9861, 9861, -8*w^2 - 6*w + 35]', '[9861, 9861, 5*w^2 - 5*w - 39]', '[9864, 822, 10*w^2 + 14*w - 50]', '[9864, 822, -4*w^2 + 2*w + 48]', '[9864, 2466, 6*w^2 - 4*w - 18]', '[9865, 9865, -17*w^2 - 11*w + 106]', '[9865, 9865, -6*w^2 + 3*w + 19]', '[9865, 9865, -6*w^2 + 5*w + 16]', '[9871, 9871, 9*w^2 + 4*w - 52]', '[9873, 3291, 10*w^2 - 14*w - 33]', '[9873, 3291, -5*w^2 + 14*w + 7]', '[9873, 9873, w^2 + 6*w + 18]', '[9880, 2470, 16*w^2 + 22*w - 64]', '[9880, 2470, -6*w^2 - 8*w + 8]', '[9880, 2470, 10*w^2 + 8*w - 52]', '[9881, 9881, -w^2 - 13*w + 34]', '[9883, 9883, 6*w^2 - 3*w - 16]', '[9885, 9885, -6*w^2 - 13*w + 33]', '[9885, 9885, -3*w^2 - 14*w - 11]', '[9887, 9887, -6*w^2 - 10*w + 37]', '[9887, 9887, 14*w^2 + 10*w - 83]', '[9887, 9887, -10*w^2 - 24*w + 17]', '[9893, 9893, 16*w^2 + 23*w - 70]', '[9893, 9893, 4*w^2 - 10*w - 13]', '[9893, 9893, -15*w^2 - 27*w + 40]', '[9896, 2474, 10*w^2 - 4*w - 70]', '[9897, 9897, 12*w^2 + 13*w - 56]', '[9897, 9897, -6*w^2 + 5*w + 57]', '[9899, 9899, 10*w^2 + 6*w - 95]', '[9907, 9907, 13*w^2 + 12*w - 77]', '[9909, 1101, -9*w - 6]', '[9909, 3303, -8*w^2 + w + 45]', '[9909, 3303, -11*w^2 - 13*w + 37]', '[9909, 9909, -4*w^2 + 18*w - 27]', '[9913, 9913, -7*w^2 + 7*w + 25]', '[9915, 9915, 6*w^2 + 8*w - 43]', '[9915, 9915, -7*w^2 - 3*w + 69]', '[9917, 9917, 5*w^2 + 8*w - 40]', '[9920, 620, -4*w^2 + 8*w + 52]', '[9921, 9921, 17*w^2 + 27*w - 68]', '[9921, 9921, 8*w^2 + 21*w - 30]', '[9923, 9923, 2*w^2 + 11*w - 34]', '[9925, 1985, -4*w^2 - 7*w - 1]', '[9925, 9925, -11*w^2 - 12*w + 49]', '[9929, 9929, 6*w^2 + 3*w - 62]', '[9931, 9931, 6*w^2 + 8*w - 59]', '[9935, 9935, -w^2 - 13*w + 28]', '[9937, 9937, 12*w^2 - 15*w - 46]', '[9939, 9939, w^2 + 11*w - 3]', '[9939, 9939, 12*w^2 + 14*w - 37]', '[9941, 9941, 12*w + 31]', '[9941, 9941, -9*w^2 + 19*w + 11]', '[9941, 9941, 5*w^2 + 12*w - 31]', '[9943, 9943, -10*w - 23]', '[9947, 203, 7*w^2 - 35]', '[9949, 9949, 10*w^2 + 11*w - 40]', '[9951, 9951, 4*w^2 + 9*w - 34]', '[9951, 9951, -4*w^2 - 5*w + 51]', '[9959, 9959, 5*w^2 + 9*w - 55]', '[9963, 369, -15*w^2 - 6*w + 117]', '[9963, 369, 3*w^2 - 3*w - 42]', '[9963, 1107, 6*w^2 - 9*w - 27]', '[9963, 1107, -13*w^2 + 13*w + 59]', '[9963, 3321, -13*w^2 + 8*w + 72]', '[9963, 9963, 25*w^2 - 9*w - 162]', '[9965, 9965, -12*w^2 - 9*w + 68]', '[9969, 9969, 6*w^2 - 11*w - 21]', '[9969, 9969, -3*w^2 + 2*w + 41]', '[9969, 9969, 5*w^2 + 15*w - 14]', '[9969, 9969, 14*w^2 + 6*w - 111]', '[9969, 9969, -6*w^2 + 5*w + 14]', '[9969, 9969, 7*w^2 + 2*w - 33]', '[9971, 767, -w^2 + 16*w - 11]', '[9971, 767, -6*w^2 + 3*w + 17]', '[9971, 767, -31*w^2 - 53*w + 109]', '[9971, 9971, 39*w^2 + 71*w - 131]', '[9971, 9971, 5*w^2 + 20*w - 26]', '[9971, 9971, -5*w^2 + 19*w - 5]', '[9973, 9973, -7*w^2 - 15*w + 35]', '[9973, 9973, 5*w^2 + 11*w - 32]', '[9973, 9973, -5*w^2 + 16*w + 2]', '[9983, 9983, 15*w^2 + 30*w - 47]', '[9985, 9985, -7*w^2 + 2*w + 34]', '[9993, 9993, 5*w^2 - 33*w + 55]', '[9993, 9993, -2*w^2 + 41*w - 96]', '[9995, 9995, -2*w^2 + 7*w + 19]', '[9995, 9995, -2*w^2 - 11*w + 31]', '[9995, 9995, -w^2 + 6*w + 32]', '[9997, 9997, 3*w^2 + 6*w - 46]', '[9997, 9997, 11*w^2 + 7*w - 95]', '[9997, 9997, w - 22]'], 'label': '3.3.1257.1', 'narrow_class_no': 2, 'primes': ['[3, 3, -w + 3]', '[3, 3, w - 2]', '[5, 5, w^2 + w - 5]', '[8, 2, 2]', '[13, 13, w + 2]', '[13, 13, -2*w + 5]', '[13, 13, -w^2 - w + 4]', '[19, 19, -w^2 + w + 4]', '[23, 23, -w^2 - w + 7]', '[25, 5, w^2 - 2*w - 1]', '[29, 29, w^2 - 5]', '[31, 31, w^2 + w - 8]', '[41, 41, w^2 + w - 11]', '[47, 47, w^2 + 2*w - 1]', '[59, 59, w^2 + w - 1]', '[61, 61, -w^2 + 5*w - 7]', '[67, 67, 2*w^2 - 13]', '[89, 89, -2*w^2 + w + 20]', '[89, 89, 5*w^2 + 8*w - 19]', '[89, 89, w^2 + 2*w - 7]', '[101, 101, -w - 5]', '[101, 101, w^2 - 2*w - 4]', '[101, 101, -2*w - 1]', '[103, 103, -3*w^2 - 2*w + 20]', '[107, 107, 2*w^2 + 3*w - 10]', '[109, 109, -3*w^2 - 3*w + 17]', '[127, 127, 2*w^2 - w - 14]', '[131, 131, -2*w^2 - 2*w + 13]', '[137, 137, w^2 + 2*w - 10]', '[149, 149, 2*w^2 + 2*w - 19]', '[163, 163, w^2 - 2*w - 5]', '[173, 173, 3*w^2 - 20]', '[181, 181, 2*w^2 - w - 17]', '[191, 191, 2*w^2 - w - 16]', '[193, 193, 2*w^2 - 2*w - 11]', '[197, 197, -7*w^2 - 13*w + 23]', '[199, 199, -2*w^2 - 5*w + 4]', '[199, 199, -w^2 + w + 13]', '[199, 199, -w^2 - 4*w - 2]', '[211, 211, w^2 + 3*w - 14]', '[223, 223, 3*w - 10]', '[227, 227, 2*w^2 + w - 8]', '[227, 227, -2*w^2 - 5*w + 5]', '[227, 227, 5*w^2 + 7*w - 20]', '[229, 229, w^2 + w - 13]', '[233, 233, -2*w^2 - 5*w + 1]', '[233, 233, 3*w^2 + 3*w - 14]', '[233, 233, 3*w^2 + 2*w - 17]', '[241, 241, 3*w^2 + w - 19]', '[251, 251, 2*w^2 + w - 20]', '[257, 257, 3*w + 7]', '[269, 269, 5*w^2 + 4*w - 29]', '[271, 271, -2*w^2 + 3*w + 4]', '[277, 277, 5*w^2 + 8*w - 20]', '[281, 281, w^2 - 2*w - 7]', '[283, 283, -3*w^2 + 19]', '[293, 293, -2*w^2 + 7*w - 2]', '[307, 307, 3*w^2 + 3*w - 13]', '[311, 311, -3*w - 1]', '[311, 311, -3*w^2 + 7*w + 2]', '[311, 311, 5*w^2 + 6*w - 25]', '[313, 313, 3*w^2 + 2*w - 23]', '[331, 331, 2*w^2 + 4*w - 11]', '[337, 337, -4*w^2 - 4*w + 23]', '[337, 337, 6*w^2 + 3*w - 40]', '[337, 337, -3*w - 10]', '[343, 7, -7]', '[347, 347, 3*w^2 + 4*w - 16]', '[349, 349, w^2 + 5*w + 5]', '[349, 349, 2*w^2 - w - 7]', '[349, 349, 5*w - 11]', '[353, 353, 2*w^2 + 3*w - 13]', '[353, 353, w^2 - 2*w - 10]', '[353, 353, 2*w^2 - 2*w - 5]', '[359, 359, w^2 - 4*w - 1]', '[359, 359, 2*w^2 - w - 5]', '[359, 359, -5*w^2 - 3*w + 34]', '[361, 19, 4*w^2 + 5*w - 16]', '[367, 367, -3*w - 2]', '[383, 383, -5*w^2 - 5*w + 28]', '[383, 383, w^2 + w - 14]', '[383, 383, 3*w^2 - w - 17]', '[389, 389, 6*w^2 + 9*w - 25]', '[397, 397, -7*w^2 - 10*w + 28]', '[401, 401, -w^2 - w - 2]', '[419, 419, 3*w - 11]', '[419, 419, -3*w - 4]', '[421, 421, 3*w^2 + w - 28]', '[431, 431, -2*w^2 + 6*w + 1]', '[433, 433, 4*w - 13]', '[449, 449, -w^2 - 4*w - 5]', '[449, 449, w^2 + 4*w - 10]', '[449, 449, w^2 + 4*w - 16]', '[463, 463, 7*w^2 + 12*w - 26]', '[467, 467, -5*w^2 - 9*w + 13]', '[479, 479, w^2 - 14]', '[487, 487, w^2 - 3*w - 5]', '[499, 499, 4*w^2 + 4*w - 19]', '[499, 499, -5*w^2 - 3*w + 31]', '[499, 499, -3*w^2 - 6*w + 5]', '[503, 503, -w - 8]', '[521, 521, 4*w^2 + w - 26]', '[523, 523, w^2 + 2*w - 16]', '[529, 23, w^2 + 4*w - 11]', '[547, 547, 5*w^2 + 6*w - 22]', '[563, 563, 2*w^2 + 3*w - 16]', '[577, 577, 3*w^2 + w - 16]', '[593, 593, 5*w^2 - w - 37]', '[593, 593, 3*w^2 + 3*w - 28]', '[593, 593, 7*w^2 + 11*w - 28]', '[599, 599, 2*w^2 + 2*w - 23]', '[601, 601, w^2 + 4*w - 14]', '[613, 613, -6*w^2 - 7*w + 28]', '[617, 617, -6*w + 13]', '[619, 619, -6*w + 11]', '[631, 631, -6*w^2 - 6*w + 31]', '[643, 643, 2*w^2 + 3*w - 25]', '[659, 659, -3*w - 11]', '[661, 661, 3*w^2 - 16]', '[683, 683, 5*w + 13]', '[691, 691, w^2 - 5*w + 10]', '[709, 709, w^2 + 6*w - 11]', '[719, 719, 3*w^2 + 3*w - 22]', '[727, 727, -w^2 + 3*w - 7]', '[733, 733, -4*w^2 - 4*w + 13]', '[743, 743, 2*w^2 + 2*w - 1]', '[751, 751, 5*w^2 + 5*w - 29]', '[757, 757, 3*w^2 - 2*w - 13]', '[761, 761, 4*w^2 + 4*w - 17]', '[769, 769, 6*w^2 + 9*w - 26]', '[773, 773, 2*w^2 + 3*w - 1]', '[773, 773, 2*w^2 + 5*w - 13]', '[773, 773, 11*w^2 + 16*w - 44]', '[787, 787, 3*w^2 - 3*w - 17]', '[787, 787, w^2 - 3*w - 8]', '[787, 787, -3*w^2 + 3*w + 32]', '[809, 809, -w^2 + w - 5]', '[809, 809, -2*w^2 - 7*w + 8]', '[809, 809, 2*w - 11]', '[811, 811, 3*w^2 + 3*w - 26]', '[821, 821, -3*w^2 + 4*w + 8]', '[823, 823, 4*w^2 + 3*w - 29]', '[827, 827, -w^2 - 5*w - 8]', '[829, 829, w - 10]', '[839, 839, 3*w^2 + 6*w - 4]', '[841, 29, 3*w^2 + w - 13]', '[857, 857, 7*w^2 + 10*w - 26]', '[857, 857, w^2 - 4*w - 4]', '[857, 857, 3*w^2 + 4*w - 31]', '[859, 859, -w^2 - 5*w - 2]', '[859, 859, -w^2 - w - 4]', '[859, 859, 3*w^2 - 4*w - 14]', '[863, 863, 5*w^2 + 2*w - 32]', '[881, 881, -7*w + 16]', '[887, 887, 4*w^2 + 3*w - 20]', '[907, 907, w^2 - 3*w - 11]', '[907, 907, 3*w^2 - 3*w - 10]', '[907, 907, 3*w^2 + 5*w - 17]', '[911, 911, w^2 + 5*w - 13]', '[929, 929, w^2 + 6*w + 7]', '[937, 937, 7*w^2 + 10*w - 25]', '[953, 953, 7*w^2 + 10*w - 31]', '[961, 31, 2*w^2 + 5*w - 14]', '[977, 977, 2*w^2 + w - 23]', '[983, 983, 3*w^2 + 6*w - 16]', '[991, 991, -4*w - 5]', '[997, 997, 3*w - 13]']}
35. label: 3.3.1300.1
    {'degree': 3, 'discriminant': 1300, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 2]', '[4, 2, w^2 - 2*w - 6]', '[5, 5, -w^2 + 2*w + 5]', '[7, 7, w + 3]', '[8, 2, 2]', '[10, 10, w]', '[11, 11, -2*w^2 + 5*w + 9]', '[13, 13, -w^2 + w + 7]', '[13, 13, w - 3]', '[14, 14, -w^2 + 3*w + 4]', '[16, 4, -2*w - 4]', '[17, 17, -w^2 + 2*w + 7]', '[17, 17, -2*w^2 + 5*w + 7]', '[17, 17, -w^2 + 3*w + 3]', '[19, 19, -w + 1]', '[20, 10, w^2 - 2*w - 10]', '[22, 22, -w + 2]', '[25, 5, -w^2 + 5]', '[26, 26, w^2 + w - 4]', '[26, 26, -w^2 + w + 6]', '[27, 3, -3]', '[28, 14, w^2 - 2*w - 8]', '[31, 31, w^2 - 2*w - 9]', '[32, 4, 2*w^2 - 4*w - 12]', '[34, 34, -w - 4]', '[34, 34, -w^2 + w + 4]', '[34, 34, -w^2 + 3*w + 6]', '[35, 35, -w^2 + w + 5]', '[37, 37, w^2 - 7]', '[38, 38, -w^2 - w + 2]', '[40, 10, -2*w^2 + 4*w + 10]', '[41, 41, w^2 - w - 11]', '[44, 22, w^2 - 4]', '[47, 47, w^2 - 3]', '[49, 7, w^2 - 3*w - 1]', '[49, 49, -2*w^2 + 4*w + 9]', '[50, 10, 2*w^2 - 5*w - 10]', '[52, 26, w^2 - 2*w - 2]', '[52, 26, w^2 + 2*w - 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4*w - 3]', '[169, 13, -2*w^2 + 3*w + 9]', '[169, 13, w^2 + 3*w - 1]', '[169, 169, -5*w - 11]', '[170, 170, 5*w^2 - 13*w - 20]', '[170, 170, 3*w^2 - 7*w - 10]', '[170, 170, 2*w^2 - 3*w - 10]', '[173, 173, 2*w - 3]', '[173, 173, -5*w^2 + 7*w + 47]', '[173, 173, -2*w^2 + 6*w + 3]', '[175, 35, 2*w^2 - 5*w - 5]', '[176, 44, -2*w + 4]', '[178, 178, 2*w^2 - w - 12]', '[181, 181, w^2 - 4*w - 1]', '[181, 181, -2*w^2 + 3*w + 21]', '[181, 181, 2*w^2 - 2*w - 21]', '[182, 182, -2*w^2 - w + 8]', '[182, 182, 2*w^2 - 5*w - 12]', '[185, 185, 2*w^2 - 4*w - 15]', '[187, 187, -2*w^2 + w + 17]', '[187, 187, -w^2 + w + 13]', '[187, 187, -2*w^2 - 3*w + 3]', '[188, 94, w^2 - 4*w - 2]', '[189, 21, -3*w - 9]', '[190, 190, w^2 - w]', '[193, 193, 3*w^2 - 9*w - 7]', '[194, 194, -3*w^2 - 5*w + 6]', '[196, 14, w^2 + 4*w + 6]', '[196, 98, w^2 - 4*w - 14]', '[197, 197, 5*w^2 - 11*w - 23]', '[200, 10, -2*w^2 + 10]', '[205, 205, 4*w^2 - 7*w - 25]', '[208, 52, 2*w^2 + 2*w - 8]', '[208, 52, -2*w^2 + 2*w + 12]', '[209, 209, 7*w^2 - 16*w - 29]', '[211, 211, w^2 - 4*w - 9]', '[211, 211, -7*w^2 + 16*w + 31]', '[211, 211, -5*w^2 + 10*w + 29]', '[216, 6, -6]', '[217, 217, w^2 - 5*w - 17]', '[218, 218, w^2 + w + 2]', '[220, 110, -w^2 + 2*w]', '[221, 221, 3*w^2 - 6*w - 19]', '[221, 221, -2*w^2 + w + 19]', '[221, 221, 4*w^2 - 8*w - 21]', '[221, 221, -3*w^2 + 2*w + 21]', '[221, 221, -4*w^2 + 10*w + 19]', '[221, 221, -2*w^2 + 4*w + 19]', '[223, 223, 3*w^2 - 5*w - 23]', '[224, 28, 2*w^2 - 4*w - 16]', '[227, 227, w^2 + w - 7]', '[229, 229, 4*w^2 - 11*w - 11]', '[235, 235, -2*w^2 + 4*w + 5]', '[236, 118, -w^2 - 2*w + 4]', '[238, 238, 5*w^2 - 11*w - 22]', '[238, 238, 3*w^2 - 5*w - 28]', '[238, 238, 3*w^2 - 3*w - 22]', '[239, 239, -2*w^2 - 5*w + 1]', '[241, 241, 3*w^2 - 4*w - 21]', '[242, 22, 3*w^2 - 5*w - 18]', '[242, 242, 4*w^2 - 3*w - 32]', '[245, 35, -w^2 + 3*w + 15]', '[245, 245, -2*w^2 - 2*w + 5]', '[247, 247, w^2 - 4*w + 3]', '[247, 247, 2*w^2 - 4*w - 17]', '[248, 62, 2*w^2 - 4*w - 18]', '[250, 10, -5*w - 10]', '[251, 251, 2*w^2 - w - 11]', '[251, 251, 2*w^2 - 2*w - 11]', '[251, 251, w^2 - 3*w + 1]', '[256, 8, 4*w^2 - 8*w - 24]', '[259, 259, 3*w^2 + 3*w - 11]', '[260, 130, w^2 - 4*w - 10]', '[260, 130, 5*w^2 - 4*w - 40]', '[263, 263, -2*w^2 + 5*w + 13]', '[263, 263, w^2 - 4*w - 13]', '[263, 263, w - 7]', '[266, 266, 4*w^2 - 9*w - 14]', '[268, 134, 3*w^2 - 8*w - 8]', '[270, 30, -3*w]', '[271, 271, 5*w + 9]', '[272, 68, -2*w - 8]', '[272, 68, -2*w^2 + 2*w + 8]', '[272, 68, -2*w^2 + 6*w + 12]', '[274, 274, -3*w^2 - w + 16]', '[275, 55, w^2 - 15]', '[280, 70, -2*w^2 + 2*w + 10]', '[281, 281, -2*w^2 - 6*w - 1]', '[283, 283, -w - 7]', '[283, 283, -5*w^2 + 10*w + 27]', '[283, 283, -2*w^2 - w + 7]', '[284, 142, w^2 - 2*w - 14]', '[286, 286, -3*w^2 + 5*w + 24]', '[286, 286, 4*w^2 - 11*w - 16]', '[287, 287, 2*w^2 - 4*w - 23]', '[289, 17, 2*w^2 + w - 11]', '[289, 17, -w^2 + 4*w + 11]', '[289, 17, w^2 - 5*w - 19]', '[289, 289, -2*w + 9]', '[289, 289, -2*w^2 + 9]', '[289, 289, -2*w^2 + 2*w + 9]', '[292, 146, -w^2 + 4*w + 12]', '[293, 293, -w^2 + 4*w + 17]', '[295, 295, -3*w^2 + 2*w + 25]', '[296, 74, 2*w^2 - 14]', '[297, 33, 6*w^2 - 15*w - 27]', '[298, 298, -w^2 - w + 8]', '[302, 302, -w^2 - 3*w + 2]', '[304, 76, -2*w^2 - 2*w + 4]', '[307, 307, 3*w^2 - 5*w - 27]', '[308, 154, -5*w^2 + 12*w + 18]', '[310, 310, -2*w^2 + w + 10]', '[314, 314, 7*w + 16]', '[314, 314, -w^2 + w + 14]', '[314, 314, -2*w^2 - 3*w + 6]', '[317, 317, 3*w^2 - 7*w - 17]', '[320, 20, -4*w^2 + 8*w + 20]', '[323, 323, 7*w^2 - 18*w - 27]', '[323, 323, 3*w^2 - 5*w - 17]', '[323, 323, 4*w^2 - 10*w - 13]', '[325, 65, -2*w^2 + 5*w + 25]', '[325, 65, 3*w^2 - 5*w - 25]', '[326, 326, 4*w^2 + 7*w - 6]', '[328, 82, 2*w^2 - 2*w - 22]', '[329, 329, 3*w^2 + 7*w + 1]', '[331, 331, -w^2 + w - 1]', '[332, 166, 3*w^2 - 10*w - 2]', '[334, 334, 2*w^2 + w - 4]', '[335, 335, -4*w^2 + 11*w + 15]', '[338, 26, -2*w^2 + 3*w + 22]', '[338, 26, -2*w^2 + 7*w + 2]', '[338, 338, -3*w^2 + 5*w + 12]', '[340, 170, -3*w^2 + 6*w + 20]', '[340, 170, -3*w^2 + 4*w + 20]', '[340, 170, 3*w^2 - 4*w - 30]', '[341, 341, -3*w^2 + 7*w + 9]', '[343, 7, 7]', '[343, 343, -2*w^2 + w + 7]', '[346, 346, -2*w^2 + 5*w + 14]', '[346, 346, -2*w^2 - w + 6]', '[346, 346, w^2 + w - 14]', '[349, 349, 2*w^2 - w - 9]', '[350, 70, w^2 - 5*w - 10]', '[351, 39, 3*w^2 - 3*w - 21]', '[351, 39, -3*w + 9]', '[352, 44, 2*w^2 - 8]', '[353, 353, -5*w^2 + 9*w + 33]', '[355, 355, -w^2 - 2*w + 5]', '[356, 178, -3*w^2 - 6*w + 4]', '[359, 359, 3*w - 1]', '[361, 19, w^2 + w - 9]', '[361, 361, -w^2 + 2*w - 1]', '[362, 362, 2*w^2 - w - 8]', '[362, 362, w^2 - 7*w - 22]', '[362, 362, -2*w^2 + 5*w + 22]', '[364, 182, 3*w^2 - 8*w - 16]', '[364, 182, 3*w^2 - 2*w - 26]', '[365, 365, -4*w^2 + 6*w + 35]', '[370, 370, 3*w + 10]', '[374, 374, 3*w^2 + w - 14]', '[374, 374, -4*w^2 + 7*w + 24]', '[374, 374, w^2 - 5*w - 16]', '[376, 94, 2*w^2 - 6]', '[378, 42, 3*w^2 - 9*w - 12]', '[379, 379, 4*w^2 - 8*w - 19]', '[380, 190, -3*w^2 + 2*w + 20]', '[383, 383, 2*w^2 - 7]', '[385, 385, -3*w^2 + 9*w + 5]', '[386, 386, 3*w^2 - 5*w - 16]', '[388, 194, -3*w^2 + 2*w + 28]', '[392, 14, 2*w^2 - 6*w - 2]', '[392, 98, -4*w^2 + 8*w + 18]', '[394, 394, w^2 - 5*w - 4]', '[397, 397, 3*w^2 - 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6*w - 27]', '[443, 443, 5*w^2 - 14*w - 13]', '[443, 443, w^2 - 5*w + 3]', '[445, 445, -5*w^2 + 2*w + 35]', '[446, 446, -w^2 + 3*w + 16]', '[448, 28, 4*w + 12]', '[449, 449, -2*w - 9]', '[451, 451, 6*w^2 - 14*w - 29]', '[454, 454, -3*w^2 - 5*w + 4]', '[455, 455, 4*w^2 - 8*w - 25]', '[455, 455, -w^2 + 2*w + 15]', '[457, 457, -7*w^2 + 15*w + 37]', '[458, 458, 3*w^2 - 7*w - 18]', '[459, 51, 3*w^2 - 6*w - 21]', '[459, 51, 6*w^2 - 15*w - 21]', '[459, 51, 3*w^2 - 9*w - 9]', '[461, 461, -w^2 - 2*w + 21]', '[463, 463, w^2 + 3*w - 3]', '[469, 469, -6*w - 11]', '[470, 470, 7*w + 10]', '[472, 118, 2*w^2 - 8*w + 2]', '[475, 95, w^2 - 5*w - 15]', '[476, 238, w^2 - 16]', '[476, 238, -5*w^2 + 10*w + 26]', '[476, 238, -7*w^2 + 16*w + 34]', '[478, 478, -3*w + 8]', '[479, 479, 2*w^2 - 5*w - 21]', '[481, 481, -3*w^2 + 3*w + 31]', '[481, 481, 4*w^2 - 7*w - 39]', '[482, 482, -2*w^2 - w + 12]', '[484, 22, -w^2 - 2*w + 6]', '[484, 242, w^2 - 4*w + 4]', '[485, 485, w^2 - w - 15]', '[487, 487, 2*w^2 - 7*w - 3]', '[490, 70, -3*w^2 + 9*w + 10]', '[490, 490, -5*w^2 + 9*w + 30]', '[494, 494, 2*w^2 - 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9*w + 21]', '[9841, 9841, -9*w^2 + w + 51]', '[9841, 9841, 7*w^2 - 6*w - 41]', '[9841, 9841, 4*w^2 + w - 39]', '[9841, 9841, 4*w^2 - 16*w - 1]', '[9841, 9841, 6*w^2 - 17*w - 39]', '[9842, 9842, 2*w^2 - 13*w - 8]', '[9848, 2462, -2*w - 22]', '[9848, 2462, 4*w^2 - 20*w + 18]', '[9848, 2462, -6*w^2 - 18*w - 2]', '[9850, 1970, -w^2 + 15*w + 30]', '[9851, 9851, -11*w^2 + 22*w + 69]', '[9851, 9851, 4*w^2 - 7*w - 51]', '[9851, 9851, 12*w^2 - 14*w - 91]', '[9853, 9853, 9*w^2 - 4*w - 57]', '[9854, 9854, -3*w^2 + 13*w + 36]', '[9854, 9854, -5*w^2 + 13*w + 6]', '[9855, 1095, -12*w^2 + 18*w + 105]', '[9856, 616, -4*w^2 - 4*w + 24]', '[9857, 9857, 3*w^2 - 13*w - 37]', '[9857, 9857, 7*w^2 + 5*w - 23]', '[9857, 9857, 13*w^2 - 38*w - 33]', '[9859, 9859, 6*w^2 + 2*w - 19]', '[9863, 9863, -18*w - 47]', '[9865, 9865, 13*w^2 - 31*w - 65]', '[9865, 9865, -7*w^2 + 16*w + 75]', '[9865, 9865, w^2 - w + 15]', '[9866, 9866, -8*w^2 - 15*w + 14]', '[9872, 2468, -8*w^2 - 14*w + 8]', '[9877, 9877, 3*w^2 - 3*w - 43]', '[9877, 9877, -13*w^2 + 30*w + 67]', '[9877, 9877, -10*w^2 + 18*w + 53]', '[9878, 9878, 2*w^2 + 5*w - 18]', '[9880, 2470, -6*w^2 + 12*w + 70]', '[9880, 2470, -2*w^2 + 12*w - 10]', '[9881, 9881, 5*w^2 - 14*w - 39]', '[9883, 9883, -9*w^2 + 15*w + 37]', '[9883, 9883, 4*w^2 - 15*w - 33]', '[9883, 9883, 7*w + 27]', '[9884, 4942, 7*w^2 - 22*w - 24]', '[9887, 9887, 6*w^2 - 23]', '[9893, 9893, 19*w^2 - 40*w - 103]', '[9893, 9893, -2*w^2 + 37]', '[9895, 9895, 5*w^2 - 17*w - 35]', '[9895, 9895, -11*w^2 + 17*w + 95]', '[9895, 9895, w^2 - 2*w + 15]', '[9896, 2474, 6*w^2 - 8*w - 66]', '[9901, 9901, -2*w^2 + 9*w + 41]', '[9902, 9902, 2*w^2 + 21*w + 32]', '[9904, 2476, -4*w^2 - 2*w - 4]', '[9905, 9905, 6*w^2 - 2*w - 25]', '[9905, 9905, 8*w^2 - 23*w - 15]', '[9905, 9905, 15*w^2 - 13*w - 125]', '[9908, 4954, 11*w^2 - 12*w - 82]', '[9916, 4958, -w^2 - 6*w + 24]', '[9917, 9917, 6*w^2 - 20*w - 13]', '[9917, 9917, -7*w^2 + 25*w + 3]', '[9917, 9917, 3*w^2 - 5*w - 43]', '[9919, 9919, 4*w^2 + 5*w - 21]', '[9919, 9919, -9*w^2 + 15*w + 49]', '[9920, 620, 8*w - 20]', '[9922, 902, -7*w^2 + 19*w + 42]', '[9922, 9922, -33*w^2 + 35*w + 282]', '[9925, 1985, 12*w^2 - 20*w - 115]', '[9926, 9926, 6*w^2 + w - 16]', '[9928, 2482, -26*w^2 + 66*w + 102]', '[9928, 2482, 6*w^2 - 2*w - 58]', '[9928, 2482, 8*w^2 - 10*w - 82]', '[9929, 9929, 15*w^2 - 32*w - 69]', '[9929, 9929, 2*w^2 - 14*w - 31]', '[9929, 9929, 11*w^2 - 8*w - 91]', '[9935, 9935, 15*w^2 - 26*w - 95]', '[9937, 9937, -2*w^2 - 7*w + 47]', '[9937, 9937, -8*w^2 - 18*w + 7]', '[9937, 9937, -4*w^2 + 17*w - 13]', '[9940, 4970, 7*w^2 - 4*w - 40]', '[9941, 9941, 13*w^2 - 19*w - 109]', '[9941, 9941, -5*w^2 - w + 71]', '[9941, 9941, 6*w^2 + w - 21]', '[9946, 9946, -9*w^2 - w + 54]', '[9955, 9955, -28*w^2 + 32*w + 235]', '[9955, 9955, -7*w^2 + 7*w + 25]', '[9955, 9955, 26*w^2 - 27*w - 215]', '[9958, 9958, -w^2 - 7*w - 22]', '[9958, 9958, 5*w^2 + 33*w + 48]', '[9961, 9961, 2*w^2 - 28*w - 81]', '[9962, 9962, 18*w^2 - 25*w - 162]', '[9962, 9962, 16*w^2 - 17*w - 128]', '[9962, 9962, 14*w^2 - 29*w - 68]', '[9967, 9967, 10*w^2 - 17*w - 77]', '[9967, 9967, 6*w^2 - 2*w - 57]', '[9967, 9967, 7*w^2 - 14*w - 57]', '[9968, 2492, 10*w^2 + 10*w - 32]', '[9971, 767, -2*w^2 + 7*w - 11]', '[9971, 767, -25*w^2 + 57*w + 119]', '[9971, 9971, 9*w^2 - 11*w - 61]', '[9973, 9973, -w^2 + 10*w + 37]', '[9974, 9974, 5*w^2 + 19*w + 24]', '[9979, 9979, 22*w^2 - 52*w - 101]', '[9979, 9979, 12*w^2 - 18*w - 101]', '[9979, 9979, 15*w^2 - 16*w - 119]', '[9980, 4990, 7*w^2 - 22*w - 20]', '[9983, 9983, 5*w^2 - 18*w - 7]', '[9985, 9985, 26*w^2 - 66*w - 105]', '[9988, 4994, -w^2 + 16*w + 38]', '[9990, 1110, 9*w + 30]', '[9994, 9994, -2*w^2 - 13*w - 4]', '[9994, 9994, -6*w^2 + w + 24]', '[9994, 9994, -9*w^2 - 25*w - 4]', '[9997, 9997, 5*w^2 - 15*w - 37]', '[9997, 9997, 14*w^2 - 35*w - 47]', '[9998, 9998, -2*w^2 + 15*w + 52]', '[10000, 100, 10*w]'], 'label': '3.3.1300.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w - 2]', '[5, 5, -w^2 + 2*w + 5]', '[7, 7, w + 3]', '[11, 11, -2*w^2 + 5*w + 9]', '[13, 13, -w^2 + w + 7]', '[13, 13, w - 3]', '[17, 17, -w^2 + 2*w + 7]', '[17, 17, -2*w^2 + 5*w + 7]', '[17, 17, -w^2 + 3*w + 3]', '[19, 19, -w + 1]', '[27, 3, -3]', '[31, 31, w^2 - 2*w - 9]', '[37, 37, w^2 - 7]', '[41, 41, w^2 - w - 11]', '[47, 47, w^2 - 3]', '[49, 7, w^2 - 3*w - 1]', '[59, 59, w^2 - 4*w + 1]', '[67, 67, w^2 - 3*w - 7]', '[71, 71, 4*w + 9]', '[73, 73, -4*w^2 + 8*w + 23]', '[83, 83, 2*w^2 - 4*w - 13]', '[89, 89, -w^2 + 11]', '[97, 97, 2*w^2 - w - 13]', '[109, 109, 2*w^2 - 5*w - 11]', '[121, 11, -3*w^2 + 5*w + 29]', '[137, 137, 3*w^2 - 3*w - 23]', '[149, 149, 3*w^2 - 5*w - 19]', '[151, 151, 2*w^2 - 3*w - 11]', '[157, 157, w^2 - 2*w - 13]', '[157, 157, 4*w^2 - 7*w - 27]', '[157, 157, 2*w^2 - 2*w - 13]', '[163, 163, 2*w^2 - 13]', '[167, 167, w^2 - 4*w - 3]', '[173, 173, 2*w - 3]', '[173, 173, -5*w^2 + 7*w + 47]', '[173, 173, -2*w^2 + 6*w + 3]', '[181, 181, w^2 - 4*w - 1]', '[181, 181, -2*w^2 + 3*w + 21]', '[181, 181, 2*w^2 - 2*w - 21]', '[193, 193, 3*w^2 - 9*w - 7]', '[197, 197, 5*w^2 - 11*w - 23]', '[211, 211, w^2 - 4*w - 9]', '[211, 211, -7*w^2 + 16*w + 31]', '[211, 211, -5*w^2 + 10*w + 29]', '[223, 223, 3*w^2 - 5*w - 23]', '[227, 227, w^2 + w - 7]', '[229, 229, 4*w^2 - 11*w - 11]', '[239, 239, -2*w^2 - 5*w + 1]', '[241, 241, 3*w^2 - 4*w - 21]', '[251, 251, 2*w^2 - w - 11]', '[251, 251, 2*w^2 - 2*w - 11]', '[251, 251, w^2 - 3*w + 1]', '[263, 263, -2*w^2 + 5*w + 13]', '[263, 263, w^2 - 4*w - 13]', '[263, 263, w - 7]', '[271, 271, 5*w + 9]', '[281, 281, -2*w^2 - 6*w - 1]', '[283, 283, -w - 7]', '[283, 283, -5*w^2 + 10*w + 27]', '[283, 283, -2*w^2 - w + 7]', '[293, 293, -w^2 + 4*w + 17]', '[307, 307, 3*w^2 - 5*w - 27]', '[317, 317, 3*w^2 - 7*w - 17]', '[331, 331, -w^2 + w - 1]', '[349, 349, 2*w^2 - w - 9]', '[353, 353, -5*w^2 + 9*w + 33]', '[359, 359, 3*w - 1]', '[361, 19, w^2 + w - 9]', '[379, 379, 4*w^2 - 8*w - 19]', '[383, 383, 2*w^2 - 7]', '[397, 397, 3*w^2 - 2*w - 27]', '[401, 401, 8*w^2 - 18*w - 39]', '[409, 409, -4*w^2 + 3*w + 29]', '[421, 421, w^2 - 6*w - 19]', '[431, 431, -2*w^2 - 2*w + 9]', '[439, 439, w^2 + w - 11]', '[439, 439, w^2 - 5*w - 11]', '[439, 439, 3*w^2 - 4*w - 19]', '[443, 443, 4*w^2 - 6*w - 27]', '[443, 443, 5*w^2 - 14*w - 13]', '[443, 443, w^2 - 5*w + 3]', '[449, 449, -2*w - 9]', '[457, 457, -7*w^2 + 15*w + 37]', '[461, 461, -w^2 - 2*w + 21]', '[463, 463, w^2 + 3*w - 3]', '[479, 479, 2*w^2 - 5*w - 21]', '[487, 487, 2*w^2 - 7*w - 3]', '[499, 499, -w^2 - 5*w - 9]', '[509, 509, -4*w^2 + 5*w + 29]', '[523, 523, -2*w^2 + 27]', '[523, 523, -8*w^2 + 14*w + 53]', '[523, 523, -4*w + 13]', '[541, 541, 2*w^2 - 7*w + 1]', '[547, 547, -6*w^2 + 9*w + 43]', '[547, 547, 2*w^2 - 5*w - 17]', '[547, 547, 2*w^2 - 3*w - 23]', '[557, 557, 3*w - 7]', '[571, 571, 3*w^2 - 4*w - 31]', '[571, 571, w^2 + 6*w + 11]', '[571, 571, 3*w^2 + 2*w - 11]', '[577, 577, -2*w^2 - 3*w + 7]', '[587, 587, -5*w + 17]', '[593, 593, -2*w^2 + 23]', '[607, 607, -w^2 + 7*w - 13]', '[607, 607, -w^2 - 7*w - 13]', '[607, 607, -w^2 - 3]', '[613, 613, 3*w^2 - 4*w - 17]', '[617, 617, w^2 + 2*w - 7]', '[619, 619, -4*w^2 + 10*w + 21]', '[631, 631, w^2 - 5*w - 1]', '[643, 643, -3*w^2 + w + 17]', '[647, 647, 3*w^2 + w - 13]', '[647, 647, -9*w^2 + 12*w + 83]', '[647, 647, 2*w^2 - 17]', '[653, 653, -4*w^2 + 9*w + 23]', '[653, 653, -6*w^2 + 17*w + 17]', '[653, 653, -3*w^2 + w + 33]', '[661, 661, -6*w^2 + 11*w + 39]', '[673, 673, 3*w^2 - 6*w - 23]', '[673, 673, w^2 - 5*w + 7]', '[673, 673, w^2 + 9*w + 13]', '[683, 683, 2*w^2 + w - 13]', '[691, 691, 3*w^2 - 6*w - 29]', '[709, 709, -w^2 + 7*w + 21]', '[733, 733, w^2 - 17]', '[739, 739, -5*w^2 + 9*w + 29]', '[743, 743, 7*w + 13]', '[757, 757, -3*w + 13]', '[757, 757, 4*w + 13]', '[757, 757, -w^2 + w - 3]', '[761, 761, -4*w^2 + 7*w + 21]', '[769, 769, -2*w^2 + 8*w + 9]', '[773, 773, -4*w^2 + 7*w + 17]', '[787, 787, -w^2 + 2*w - 3]', '[809, 809, -5*w^2 + 10*w + 31]', '[809, 809, -2*w^2 - 7*w - 9]', '[809, 809, 4*w^2 - 7*w - 31]', '[811, 811, 2*w - 11]', '[821, 821, 3*w^2 - 3*w - 11]', '[827, 827, 7*w^2 - 15*w - 33]', '[839, 839, 2*w^2 - 8*w + 1]', '[853, 853, -9*w^2 + 16*w + 57]', '[859, 859, -5*w + 19]', '[859, 859, -w^2 + 7*w - 11]', '[859, 859, 4*w^2 - 7*w - 19]', '[863, 863, -4*w^2 + 5*w + 27]', '[877, 877, -4*w^2 + 8*w + 27]', '[887, 887, 2*w^2 - 6*w - 17]', '[887, 887, 3*w^2 + 4*w - 3]', '[887, 887, -3*w^2 + 37]', '[919, 919, -2*w^2 - 6*w + 1]', '[919, 919, -w^2 + 4*w + 19]', '[919, 919, 4*w^2 - 8*w - 41]', '[929, 929, 3*w^2 - 7*w - 21]', '[941, 941, 9*w^2 - 20*w - 41]', '[947, 947, -3*w^2 + 5*w + 33]', '[953, 953, w^2 - 2*w - 17]', '[953, 953, 7*w^2 - 18*w - 23]', '[953, 953, -6*w - 17]', '[961, 31, -3*w^2 + 8*w + 19]', '[967, 967, 3*w^2 - 3*w - 13]', '[971, 971, -2*w^2 - 8*w - 11]', '[971, 971, -2*w^2 + 10*w - 11]', '[971, 971, -2*w - 11]', '[977, 977, -2*w^2 - w + 27]', '[983, 983, w^2 - w - 17]']}
36. label: 3.3.1304.1
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5/2*w - 13]', '[1952, 1952, 1/2*w^2 + 13/2*w + 9]', '[1954, 1954, 13/2*w^2 - 51/2*w - 4]', '[1954, 1954, -11/2*w^2 - 7/2*w - 1]', '[1956, 978, -7/2*w^2 + 15/2*w + 5]', '[1956, 978, -w^2 + 8*w + 35]', '[1956, 978, -13/2*w^2 + 9/2*w + 83]', '[1956, 978, 9*w^2 - 28*w - 11]', '[1956, 1956, -18*w^2 + 5*w + 202]', '[1956, 1956, 3/2*w^2 - 17/2*w + 7]', '[1958, 1958, 2*w^2 + 11*w + 12]', '[1958, 1958, 5/2*w^2 + 1/2*w - 16]', '[1959, 1959, 1/2*w^2 - 13/2*w - 24]', '[1961, 1961, -8*w^2 + 87]', '[1961, 1961, 11/2*w^2 - 3/2*w - 54]', '[1961, 1961, 33/2*w^2 - 109/2*w - 8]', '[1964, 982, 2*w^2 - 5*w - 13]', '[1964, 982, -5/2*w^2 - 7/2*w + 7]', '[1964, 1964, -2*w^2 - 3*w + 18]', '[1966, 1966, -3/2*w^2 - 7/2*w - 6]', '[1966, 1966, 21/2*w^2 - 71/2*w - 4]', '[1966, 1966, 15/2*w^2 - 41/2*w - 3]', '[1966, 1966, w^2 - 4*w - 14]', '[1966, 1966, -4*w^2 + 9*w]', '[1966, 1966, -13/2*w^2 - 9/2*w + 52]', '[1971, 219, -9*w^2 + 3*w + 99]', '[1971, 1971, w^2 - w - 21]', '[1973, 1973, 5*w^2 - 11*w - 1]', '[1973, 1973, 3/2*w^2 - 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7*w + 35]', '[9944, 4972, -8*w^2 + 21*w + 25]', '[9944, 4972, 3/2*w^2 + 13/2*w - 31]', '[9944, 9944, 9*w^2 + 4*w - 84]', '[9944, 9944, 12*w^2 - 25*w - 6]', '[9944, 9944, 1/2*w^2 + 9/2*w + 21]', '[9946, 9946, 3/2*w^2 - 17/2*w - 15]', '[9946, 9946, -7/2*w^2 - 7/2*w - 6]', '[9948, 4974, -21/2*w^2 - 7/2*w + 95]', '[9948, 4974, -7*w^2 - 12*w + 37]', '[9948, 9948, -22*w^2 + w + 234]', '[9949, 9949, 3/2*w^2 - 3/2*w - 34]', '[9956, 4978, -3/2*w^2 - 33/2*w - 7]', '[9956, 4978, -w^2 + 8*w + 27]', '[9956, 4978, -6*w^2 + 13*w + 9]', '[9956, 4978, -7/2*w^2 + 19/2*w - 7]', '[9956, 4978, 3*w^2 - 18*w - 7]', '[9956, 4978, -9/2*w^2 + 5/2*w + 63]', '[9956, 9956, -2*w^2 - w - 10]', '[9956, 9956, -14*w^2 + 5*w + 154]', '[9956, 9956, -5/2*w^2 - 29/2*w + 3]', '[9964, 4982, -w^2 + 6*w - 19]', '[9964, 4982, -5/2*w^2 - 19/2*w + 11]', '[9964, 9964, -9/2*w^2 - 1/2*w + 31]', '[9966, 9966, -13/2*w^2 + 31/2*w + 12]', '[9966, 9966, 5/2*w^2 - 31/2*w + 19]', '[9967, 9967, 11/2*w^2 - 31/2*w - 108]', '[9969, 9969, 25/2*w^2 - 73/2*w - 12]', '[9972, 1662, -w^2 - 4*w - 17]', '[9972, 1662, 2*w^2 - 7*w + 13]', '[9972, 1662, 7/2*w^2 - 11/2*w - 41]', '[9972, 1662, 5/2*w^2 + 23/2*w - 7]', '[9972, 1662, -13/2*w^2 + 5/2*w + 83]', '[9972, 1662, -2*w^2 + 7*w + 35]', '[9972, 3324, 8*w^2 + 11*w - 50]', '[9972, 3324, 8*w^2 - w - 98]', '[9972, 3324, 4*w^2 + w - 22]', '[9972, 4986, 5/2*w^2 + 7/2*w + 9]', '[9972, 4986, -5*w^2 + 6*w + 29]', '[9972, 4986, -2*w^2 + 13*w - 11]', '[9972, 4986, 1/2*w^2 - 17/2*w - 19]', '[9972, 4986, -9/2*w^2 + 25/2*w - 5]', '[9972, 4986, 4*w^2 - 21*w - 7]', '[9972, 9972, -2*w^2 + 7*w + 22]', '[9972, 9972, -2*w^2 - 15*w + 2]', '[9972, 9972, 5/2*w^2 - 3/2*w - 43]', '[9974, 9974, -29/2*w^2 - 1/2*w + 146]', '[9974, 9974, -23/2*w^2 + 65/2*w + 10]', '[9974, 9974, -1/2*w^2 - 5/2*w - 19]', '[9974, 9974, -33*w^2 + 4*w + 358]', '[9974, 9974, w^2 - 20*w - 6]', '[9974, 9974, -3/2*w^2 - 27/2*w - 10]', '[9977, 9977, -21*w^2 + w + 219]', '[9978, 9978, -1/2*w^2 - 21/2*w - 19]', '[9978, 9978, -9/2*w^2 + 7/2*w + 28]', '[9979, 9979, 13/2*w^2 - 1/2*w - 58]', '[9981, 3327, 4*w^2 + 4*w - 13]', '[9981, 9981, 9/2*w^2 - 29/2*w - 14]', '[9986, 9986, -9/2*w^2 + 7/2*w - 3]', '[9986, 9986, 17/2*w^2 - 63/2*w]', '[9992, 2498, 6*w^2 + 6*w - 38]', '[9992, 4996, 19/2*w^2 + 5/2*w - 95]', '[9992, 4996, 6*w^2 + 17*w - 13]', '[9992, 9992, -1/2*w^2 + 35/2*w + 63]', '[9994, 9994, -5/2*w^2 + 15/2*w + 21]', '[9994, 9994, 5/2*w^2 + 1/2*w + 8]', '[9999, 3333, -2*w^2 - 14*w - 13]', '[9999, 3333, 1/2*w^2 - 17/2*w - 20]', '[9999, 3333, 23*w^2 - 73*w - 11]', '[9999, 9999, 11/2*w^2 + 25/2*w + 6]', '[9999, 9999, 9/2*w^2 - 13/2*w - 10]', '[9999, 9999, 9*w^2 + w - 85]'], 'label': '3.3.1304.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w]', '[2, 2, -1/2*w^2 + 3/2*w]', '[3, 3, -w^2 + 3*w + 1]', '[9, 3, w^2 + w - 7]', '[11, 11, 2*w^2 - 21]', '[17, 17, -1/2*w^2 + 5/2*w]', '[19, 19, -1/2*w^2 + 1/2*w + 2]', '[37, 37, w^2 - w - 13]', '[37, 37, -1/2*w^2 + 1/2*w + 8]', '[37, 37, 5/2*w^2 - 17/2*w - 2]', '[47, 47, -3/2*w^2 + 11/2*w]', '[53, 53, w^2 - w - 7]', '[59, 59, 2*w - 1]', '[61, 61, -3/2*w^2 + 3/2*w + 20]', '[67, 67, w^2 - 3*w - 3]', '[71, 71, w^2 - w - 1]', '[73, 73, 3*w^2 - w - 33]', '[79, 79, w^2 - w - 11]', '[79, 79, w^2 - 3*w + 1]', '[79, 79, -2*w - 5]', '[89, 89, -2*w - 3]', '[101, 101, w^2 + w - 9]', '[101, 101, 3/2*w^2 + 1/2*w - 16]', '[101, 101, -3/2*w^2 + 7/2*w]', '[107, 107, 1/2*w^2 + 3/2*w - 4]', '[113, 113, -1/2*w^2 + 1/2*w - 2]', '[113, 113, -4*w^2 + 41]', '[113, 113, 3/2*w^2 - 7/2*w - 2]', '[121, 11, 2*w^2 - 8*w - 1]', '[125, 5, -5]', '[131, 131, 7/2*w^2 + 9/2*w - 22]', '[131, 131, -3*w^2 + 3*w + 41]', '[131, 131, w^2 - w - 5]', '[137, 137, 3*w^2 - 9*w - 1]', '[139, 139, 2*w^2 - 19]', '[151, 151, 3/2*w^2 - 3/2*w - 14]', '[157, 157, 1/2*w^2 + 3/2*w - 12]', '[157, 157, 11/2*w^2 - 3/2*w - 60]', '[157, 157, -1/2*w^2 + 9/2*w]', '[163, 163, -w^2 + w - 1]', '[163, 163, 7/2*w^2 + 5/2*w - 28]', '[167, 167, 3/2*w^2 + 1/2*w - 12]', '[173, 173, 1/2*w^2 + 3/2*w - 6]', '[193, 193, 2*w^2 - 25]', '[197, 197, -5*w^2 - w + 49]', '[199, 199, 5/2*w^2 - 1/2*w - 30]', '[211, 211, 4*w^2 - 45]', '[223, 223, -3/2*w^2 + 15/2*w + 2]', '[229, 229, -7/2*w^2 + 3/2*w + 42]', '[229, 229, 3/2*w^2 - 3/2*w - 10]', '[229, 229, 2*w^2 - 2*w - 1]', '[233, 233, 13/2*w^2 - 1/2*w - 70]', '[241, 241, w^2 - 3*w - 5]', '[257, 257, 3/2*w^2 - 3/2*w - 16]', '[263, 263, -5*w^2 + w + 57]', '[277, 277, -3*w^2 - w + 27]', '[277, 277, 5/2*w^2 - 1/2*w - 24]', '[277, 277, -9/2*w^2 + 25/2*w + 2]', '[283, 283, -1/2*w^2 - 11/2*w - 2]', '[289, 17, -7/2*w^2 - 1/2*w + 36]', '[317, 317, 7*w^2 - w - 79]', '[317, 317, 3/2*w^2 - 3/2*w - 2]', '[317, 317, 2*w - 9]', '[331, 331, -3*w^2 + 5*w + 47]', '[337, 337, -3/2*w^2 + 3/2*w + 22]', '[343, 7, -7]', '[349, 349, -2*w - 9]', '[349, 349, 1/2*w^2 - 5/2*w - 6]', '[349, 349, 3/2*w^2 - 7/2*w - 8]', '[353, 353, 1/2*w^2 - 13/2*w - 2]', '[359, 359, -1/2*w^2 + 1/2*w - 4]', '[361, 19, 3/2*w^2 + 1/2*w - 10]', '[367, 367, 2*w^2 - 8*w + 1]', '[373, 373, -4*w - 3]', '[383, 383, 15/2*w^2 - 3/2*w - 80]', '[397, 397, w^2 + 3*w - 5]', '[401, 401, 2*w^2 - 2*w - 19]', '[409, 409, 2*w^2 - 1]', '[409, 409, -13/2*w^2 + 1/2*w + 68]', '[409, 409, -1/2*w^2 + 5/2*w - 6]', '[421, 421, -9/2*w^2 + 5/2*w + 54]', '[433, 433, w^2 - 5*w - 27]', '[439, 439, 9*w^2 - w - 99]', '[443, 443, 2*w^2 - 4*w - 3]', '[449, 449, -5*w^2 + 3*w + 61]', '[461, 461, 3/2*w^2 - 11/2*w - 4]', '[463, 463, -7*w^2 - w + 69]', '[463, 463, -1/2*w^2 + 9/2*w - 2]', '[463, 463, -5/2*w^2 + 17/2*w + 4]', '[467, 467, -2*w^2 + 2*w + 25]', '[487, 487, 2*w^2 - 4*w - 33]', '[491, 491, 5/2*w^2 - 9/2*w - 2]', '[499, 499, -6*w^2 + 18*w + 7]', '[499, 499, 3/2*w^2 - 3/2*w - 4]', '[499, 499, 6*w^2 - 20*w - 5]', '[503, 503, w^2 - w - 17]', '[521, 521, -w^2 - w - 3]', '[547, 547, -21/2*w^2 + 5/2*w + 118]', '[547, 547, 3*w^2 - w - 37]', '[547, 547, 6*w^2 - 2*w - 65]', '[569, 569, -13/2*w^2 - 11/2*w + 50]', '[571, 571, -7/2*w^2 + 19/2*w + 4]', '[587, 587, 11/2*w^2 + 17/2*w - 30]', '[601, 601, 2*w^2 - 2*w - 13]', '[607, 607, 3/2*w^2 + 1/2*w - 4]', '[617, 617, -1/2*w^2 - 3/2*w - 6]', '[619, 619, -1/2*w^2 + 9/2*w - 6]', '[643, 643, 2*w^2 - 27]', '[647, 647, -9/2*w^2 + 33/2*w + 4]', '[653, 653, -3*w^2 + 7*w + 3]', '[659, 659, -3/2*w^2 - 1/2*w - 2]', '[661, 661, -6*w^2 + 61]', '[677, 677, 7*w^2 - 3*w - 83]', '[683, 683, 9/2*w^2 - 33/2*w - 2]', '[701, 701, -2*w^2 + 2*w - 1]', '[709, 709, w^2 - 3*w - 9]', '[719, 719, 4*w^2 - 4*w - 55]', '[719, 719, 4*w^2 - 2*w - 45]', '[719, 719, 4*w^2 - 39]', '[727, 727, -4*w - 9]', '[727, 727, -5/2*w^2 + 5/2*w + 32]', '[727, 727, 9/2*w^2 - 29/2*w]', '[733, 733, 4*w - 11]', '[743, 743, -3/2*w^2 + 3/2*w - 2]', '[761, 761, 3/2*w^2 + 5/2*w - 24]', '[769, 769, -2*w^2 + 10*w + 3]', '[773, 773, 3/2*w^2 + 5/2*w - 12]', '[787, 787, 17/2*w^2 - 5/2*w - 92]', '[787, 787, 3*w^2 + w - 35]', '[787, 787, 4*w^2 - 10*w - 1]', '[797, 797, 6*w^2 - 67]', '[809, 809, 5/2*w^2 - 21/2*w]', '[811, 811, w^2 - 9*w - 39]', '[821, 821, -2*w^2 + 6*w + 7]', '[827, 827, 6*w - 1]', '[829, 829, 3/2*w^2 - 11/2*w - 34]', '[839, 839, 5*w^2 + 3*w - 43]', '[853, 853, -4*w^2 - 6*w + 23]', '[857, 857, 3*w^2 - w - 27]', '[859, 859, 3*w^2 - 9*w + 1]', '[863, 863, -2*w - 11]', '[863, 863, 5/2*w^2 - 5/2*w - 2]', '[863, 863, 4*w + 15]', '[877, 877, -3/2*w^2 + 15/2*w - 2]', '[881, 881, -w^2 + 7*w - 1]', '[883, 883, 4*w - 5]', '[907, 907, w^2 - 3*w - 11]', '[911, 911, 5/2*w^2 + 3/2*w - 18]', '[919, 919, 2*w^2 - 2*w - 11]', '[929, 929, 11/2*w^2 + 9/2*w - 42]', '[937, 937, 1/2*w^2 + 7/2*w - 6]', '[941, 941, -9/2*w^2 + 5/2*w + 46]', '[953, 953, 11/2*w^2 - 39/2*w - 2]', '[967, 967, -13*w^2 + w + 139]', '[977, 977, 1/2*w^2 + 11/2*w - 2]', '[983, 983, 1/2*w^2 + 15/2*w + 20]', '[983, 983, 4*w - 9]', '[983, 983, 3/2*w^2 - 15/2*w + 4]', '[991, 991, 3/2*w^2 - 11/2*w - 6]', '[991, 991, w^2 - 3*w - 15]', '[991, 991, 1/2*w^2 - 1/2*w - 14]']}
37. label: 3.3.1369.1
    {'degree': 3, 'discriminant': 1369, 'ideals': ['[1, 1, 1]', '[8, 2, 2]', '[11, 11, w]', '[11, 11, -w^2 + 3*w + 7]', '[11, 11, w^2 - 2*w - 8]', '[23, 23, w^2 - 2*w - 7]', '[23, 23, w^2 - 3*w - 8]', '[23, 23, w - 1]', '[27, 3, 3]', '[29, 29, w^2 - 2*w - 5]', '[29, 29, w^2 - 3*w - 10]', '[29, 29, w - 3]', '[31, 31, w^2 - 2*w - 6]', '[31, 31, -w^2 + 3*w + 9]', '[31, 31, w - 2]', '[37, 37, -w^2 + 4*w + 7]', '[43, 43, 2*w^2 - 6*w - 13]', '[43, 43, 2*w^2 - 4*w - 17]', '[43, 43, w^2 - 2*w - 12]', '[47, 47, w^2 - 4*w - 4]', '[47, 47, w^2 - w - 5]', '[47, 47, 2*w^2 - 5*w - 18]', '[64, 4, 4]', '[73, 73, -2*w^2 + 5*w + 14]', '[73, 73, w^2 - w - 9]', '[73, 73, -w^2 + 4*w + 8]', '[88, 22, 2*w]', '[88, 22, -2*w^2 + 6*w + 14]', '[88, 22, 2*w^2 - 4*w - 16]', '[97, 97, -2*w^2 + 5*w + 10]', '[97, 97, 2*w^2 - 3*w - 15]', '[97, 97, w^2 - 4*w - 12]', '[101, 101, -w - 5]', '[101, 101, w^2 - 3*w - 2]', '[101, 101, w^2 - 2*w - 13]', '[103, 103, w^2 - w - 10]', '[103, 103, w^2 - 4*w - 9]', '[103, 103, -2*w^2 + 5*w + 13]', '[121, 11, 2*w^2 - 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5*w - 23]', '[359, 359, 2*w^2 - 7*w - 23]', '[359, 359, -3*w^2 + 7*w + 14]', '[397, 397, 2*w^2 - 8*w - 7]', '[397, 397, 4*w^2 - 10*w - 37]', '[397, 397, 2*w^2 - 2*w - 9]', '[401, 401, 2*w^2 - 7*w - 16]', '[401, 401, 3*w^2 - 7*w - 21]', '[401, 401, w^2 - 10]', '[421, 421, 3*w^2 - 5*w - 29]', '[421, 421, w^2 - 6*w - 12]', '[421, 421, -4*w^2 + 11*w + 24]', '[433, 433, w^2 - 6*w - 15]', '[433, 433, 3*w^2 - 5*w - 32]', '[433, 433, -4*w^2 + 11*w + 21]', '[443, 443, 5*w^2 - 13*w - 36]', '[443, 443, -2*w^2 + 9*w + 15]', '[443, 443, 5*w^2 - 12*w - 40]', '[467, 467, w^2 - 6*w - 13]', '[467, 467, 3*w^2 - 5*w - 30]', '[467, 467, -4*w^2 + 11*w + 23]', '[487, 487, -3*w^2 + 10*w + 20]', '[487, 487, -4*w^2 + 9*w + 32]', '[487, 487, w^2 + w - 7]', '[491, 491, -w - 8]', '[491, 491, -w^2 + 3*w - 1]', '[491, 491, w^2 - 2*w - 16]', '[541, 541, 3*w^2 - 7*w - 16]', '[541, 541, 2*w^2 - 7*w - 21]', '[541, 541, w^2 - 15]', '[547, 547, 2*w^2 - 4*w - 25]', '[547, 547, 2*w^2 - 6*w - 5]', '[547, 547, -2*w - 9]', '[563, 563, 3*w^2 - 7*w - 18]', '[563, 563, 2*w^2 - 7*w - 19]', '[563, 563, w^2 - 13]', '[569, 569, w^2 - 14]', '[569, 569, 3*w^2 - 7*w - 17]', '[569, 569, 2*w^2 - 7*w - 20]', '[593, 593, w^2 - w - 18]', '[593, 593, w^2 - 4*w - 17]', '[593, 593, 2*w^2 - 5*w - 5]', '[619, 619, -5*w^2 + 14*w + 30]', '[619, 619, 4*w^2 - 7*w - 38]', '[619, 619, -5*w^2 + 11*w + 42]', '[643, 643, w^2 + w - 8]', '[643, 643, -3*w^2 + 10*w + 21]', '[643, 643, -4*w^2 + 9*w + 31]', '[677, 677, -2*w^2 + 7*w + 27]', '[677, 677, -3*w^2 + 7*w + 10]', '[677, 677, 3*w^2 - 9*w - 31]', '[709, 709, w^2 - 7*w - 14]', '[709, 709, 4*w^2 - 7*w - 39]', '[709, 709, 5*w^2 - 14*w - 29]', '[739, 739, -5*w^2 + 14*w + 27]', '[739, 739, w^2 - 7*w - 16]', '[739, 739, 4*w^2 - 7*w - 41]', '[751, 751, 4*w^2 - 9*w - 43]', '[751, 751, 4*w^2 - 7*w - 40]', '[751, 751, -3*w^2 + 10*w + 9]', '[769, 769, w^2 - 3*w - 17]', '[769, 769, -w^2 + 2*w - 2]', '[769, 769, w - 10]', '[787, 787, 3*w^2 - 6*w - 19]', '[787, 787, 3*w - 5]', '[787, 787, 3*w^2 - 9*w - 26]', '[857, 857, 3*w^2 - 9*w - 28]', '[857, 857, 3*w^2 - 6*w - 17]', '[857, 857, 3*w - 7]', '[859, 859, 4*w^2 - 11*w - 40]', '[859, 859, 3*w^2 - 4*w - 19]', '[859, 859, 5*w^2 - 13*w - 42]', '[877, 877, 6*w^2 - 14*w - 49]', '[877, 877, -3*w^2 + 13*w + 21]', '[877, 877, -4*w^2 + 14*w + 25]', '[887, 887, 2*w^2 - 5*w - 4]', '[887, 887, w^2 - w - 19]', '[887, 887, w^2 - 4*w - 18]', '[911, 911, 2*w^2 - 2*w - 21]', '[911, 911, 4*w^2 - 10*w - 25]', '[911, 911, 2*w^2 - 8*w - 19]', '[919, 919, 4*w^2 - 11*w - 34]', '[919, 919, 3*w^2 - 5*w - 19]', '[919, 919, w^2 - 6*w - 2]', '[991, 991, -w - 10]', '[991, 991, -w^2 + 3*w - 3]', '[991, 991, w^2 - 2*w - 18]']}
38. label: 3.3.1373.1
    {'degree': 3, 'discriminant': 1373, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 1]', '[3, 3, w + 2]', '[4, 2, w^2 - w - 7]', '[4, 4, -w^2 + w + 8]', '[5, 5, w]', '[6, 6, -w^2 + w + 6]', '[8, 2, 2]', '[8, 8, -w - 3]', '[9, 3, -w^2 + 2*w + 4]', '[9, 9, 2*w + 1]', '[10, 10, -2*w^2 + w + 15]', '[12, 6, w^2 - w - 9]', '[12, 12, w - 1]', '[13, 13, -w + 2]', '[15, 15, w^2 + 2*w]', '[16, 4, -w^2 + 3*w + 3]', '[16, 4, -2*w - 2]', '[16, 16, w^2 - 9]', '[18, 6, -w^2 + 2*w + 1]', '[18, 18, -w^2 + 7]', '[20, 10, -w^2 + w + 5]', '[20, 20, w^2 - 5]', '[24, 6, 2*w + 4]', '[24, 24, -w^2 + 1]', '[25, 5, w^2 - 8]', '[25, 25, w^2]', '[26, 26, w^2 - w - 2]', '[27, 3, 3]', '[27, 27, -w + 4]', '[29, 29, 2*w + 3]', '[30, 30, w^2 - 2*w - 5]', '[32, 4, 2*w^2 - 2*w - 14]', '[32, 8, -2*w^2 + 2*w + 16]', '[32, 32, -w^2 + w + 4]', '[36, 6, -w^2 - w + 1]', '[36, 12, -2*w^2 + w + 17]', '[36, 18, -w^2 + w + 3]', '[36, 36, w^2 + w - 2]', '[37, 37, w + 4]', '[37, 37, -3*w^2 + 2*w + 24]', '[37, 37, w^2 + 2*w - 2]', '[39, 39, -w^2 + 4]', '[40, 10, 2*w]', '[40, 40, -w^2 - 3*w]', '[45, 15, -w^2 + 2*w + 10]', '[45, 45, -2*w^2 + 2*w + 15]', '[47, 47, w^2 - 2]', '[48, 12, w^2 + w + 1]', '[48, 12, -2*w^2 + 2*w + 12]', '[48, 48, 2*w^2 - w - 13]', '[50, 10, -w^2 + 3]', '[50, 50, w^2 - w - 10]', '[52, 26, w^2 + 3*w + 3]', '[52, 52, -3*w^2 + 2*w + 21]', '[53, 53, w^2 - 2*w - 6]', '[54, 6, -3*w - 3]', '[54, 54, w^2 - 3*w - 4]', '[58, 58, -2*w^2 + 3*w + 9]', '[60, 30, -w^2 - w + 5]', '[60, 60, w^2 - w]', '[61, 61, w^2 + 2*w + 2]', '[64, 4, 4]', '[64, 8, -w^2 + 3*w - 1]', '[64, 16, -2*w - 6]', '[64, 64, 3*w + 1]', '[65, 65, -w^2 + 2*w]', '[71, 71, 2*w - 1]', '[71, 71, -w^2 + 4*w + 2]', '[71, 71, -w^2 + 4*w - 2]', '[72, 6, -2*w^2 + 4*w + 8]', '[72, 18, 4*w + 2]', '[72, 24, w^2 - 2*w - 7]', '[72, 72, 2*w^2 - 3*w - 11]', '[73, 73, -w^2 + 4*w + 4]', '[74, 74, w^2 - 11]', '[74, 74, -w^2 - w + 12]', '[74, 74, w^2 - 2*w - 9]', '[75, 15, -2*w^2 + 5*w + 6]', '[75, 75, 2*w - 5]', '[78, 78, w^2 + 4*w + 1]', '[79, 79, -2*w + 7]', '[80, 20, w^2 + 5*w + 5]', '[80, 20, -4*w^2 + 2*w + 30]', '[80, 80, -w + 5]', '[81, 9, 4*w^2 - 2*w - 31]', '[81, 9, 3*w + 6]', '[81, 81, -w^2 + 2*w + 8]', '[83, 83, -2*w^2 + 13]', '[87, 87, 4*w^2 - 3*w - 28]', '[89, 89, -3*w - 4]', '[90, 30, -w^2 - 4*w - 5]', '[90, 90, -w - 5]', '[94, 94, -w^2 - 6*w - 3]', '[96, 12, 2*w^2 - 2*w - 18]', '[96, 24, 2*w - 2]', '[96, 96, -w^2 - 2*w + 3]', '[97, 97, -4*w^2 + 2*w + 33]', '[100, 10, w^2 - 5*w - 3]', '[100, 20, -3*w^2 + 5*w + 14]', '[100, 50, w^2 - 3*w - 5]', '[100, 100, 3*w + 5]', '[101, 101, 2*w^2 - w - 12]', '[103, 103, 2*w^2 - 3*w - 4]', '[103, 103, 2*w^2 - 2*w - 11]', '[103, 103, w^2 - 2*w - 12]', '[104, 26, -2*w + 4]', '[104, 104, w^2 + w - 6]', '[106, 106, w^2 + 1]', '[108, 6, 3*w^2 - 3*w - 21]', '[108, 12, -3*w^2 + 3*w + 24]', '[108, 54, -w^2 - 3*w + 1]', '[108, 108, -5*w^2 + 4*w + 37]', '[109, 109, 2*w - 3]', '[111, 111, 5*w + 4]', '[111, 111, 2*w^2 - 2*w - 3]', '[111, 111, 2*w^2 - 3*w - 8]', '[113, 113, -2*w^2 + w + 18]', '[116, 58, w^2 - w - 11]', '[116, 116, -w^2 + 4*w + 1]', '[117, 39, 5*w^2 - 4*w - 38]', '[117, 117, -2*w^2 + 3*w + 2]', '[120, 30, 2*w^2 + 4*w]', '[120, 120, 3*w^2 - 2*w - 25]', '[122, 122, w^2 - 4*w + 1]', '[125, 5, 5]', '[125, 125, 3*w^2 - 2*w - 20]', '[128, 8, -2*w^2 + 6*w + 6]', '[128, 8, -4*w - 4]', '[128, 32, 2*w^2 - 18]', '[128, 128, -3*w^2 + w + 22]', '[130, 130, -5*w^2 + 3*w + 40]', '[135, 15, 3*w]', '[135, 135, -w^2 + 4*w]', '[137, 137, 2*w^2 - 3*w - 12]', '[141, 141, 2*w^2 + 6*w + 1]', '[142, 142, -2*w^2 - w + 1]', '[142, 142, -3*w^2 + 6*w + 7]', '[142, 142, -3*w^2 + w + 24]', '[144, 12, w^2 + w - 7]', '[144, 12, -2*w^2 + 4*w + 2]', '[144, 36, -2*w^2 + 14]', '[144, 36, w^2 + w - 11]', '[144, 48, w^2 + w + 2]', '[144, 144, w^2 - 2*w + 1]', '[145, 145, 2*w^2 + 3*w]', '[146, 146, -3*w^2 + 1]', '[148, 74, 3*w^2 - 3*w - 23]', '[148, 74, -w^2 + w - 1]', '[148, 74, -3*w^2 + w + 19]', '[148, 148, -w^2 + 3*w + 6]', '[148, 148, w^2 + 3*w + 4]', '[148, 148, 2*w^2 - 3*w - 7]', '[149, 149, -2*w^2 + 3*w + 18]', '[150, 30, -2*w^2 - 5*w + 1]', '[150, 150, -2*w^2 + 3*w + 5]', '[151, 151, -2*w^2 + 4*w + 9]', '[156, 78, 3*w^2 - w - 23]', '[156, 156, -w^2 + 3*w - 2]', '[158, 158, 2*w^2 - 5*w - 7]', '[159, 159, -2*w - 7]', '[160, 20, -2*w^2 + 2*w + 10]', '[160, 40, 2*w^2 - 10]', '[160, 160, w^2 - 4*w - 5]', '[162, 18, -2*w^2 + w + 11]', '[162, 18, -3*w^2 + 3*w + 18]', '[162, 162, -w^2 - 2*w - 3]', '[163, 163, 2*w^2 - 3*w - 6]', '[163, 163, -2*w^2 - w + 8]', '[163, 163, w - 6]', '[166, 166, 2*w^2 + 3*w - 3]', '[167, 167, w^2 - 12]', '[169, 13, w^2 + 2*w - 4]', '[169, 169, w^2 - 4*w + 4]', '[173, 173, -w - 6]', '[174, 174, -w^2 - w + 8]', '[178, 178, 3*w^2 + 7*w + 4]', '[179, 179, 2*w^2 + 3*w + 2]', '[180, 30, w^2 - 5*w + 5]', '[180, 60, w^2 + w - 10]', '[180, 90, w^2 - 5*w - 5]', '[180, 180, w^2 + 6*w + 5]', '[183, 183, 2*w^2 - 17]', '[185, 185, 2*w^2 - 15]', '[185, 185, 4*w^2 - 4*w - 25]', '[185, 185, w^2 + 4*w]', '[188, 94, -w^2 - w + 9]', '[188, 188, 2*w^2 + w - 11]', '[192, 12, 4*w + 8]', '[192, 24, w^2 - 3*w - 7]', '[192, 48, -2*w^2 + 2]', '[192, 192, -w^2 - w + 14]', '[193, 193, -4*w - 1]', '[194, 194, 2*w^2 - 3*w - 13]', '[195, 195, -4*w - 5]', '[199, 199, 3*w - 8]', '[200, 10, 2*w^2 - 16]', '[200, 40, -2*w^2 + 5*w + 1]', '[200, 50, 2*w^2]', '[200, 200, -3*w^2 + 4*w + 15]', '[202, 202, -w^2 - 3*w + 2]', '[206, 206, w^2 + 6*w + 7]', '[206, 206, -4*w^2 + 3*w + 27]', '[206, 206, -3*w + 1]', '[208, 52, 2*w^2 - 2*w - 4]', '[208, 52, w^2 - 3*w - 11]', '[208, 208, -2*w^2 - 3*w + 1]', '[211, 211, -4*w^2 + 2*w + 27]', '[211, 211, -6*w^2 + 4*w + 43]', '[211, 211, 3*w^2 - 4*w - 18]', '[212, 106, -3*w^2 + w + 27]', '[212, 212, 4*w^2 - 3*w - 33]', '[213, 213, 2*w^2 + 3*w - 2]', '[213, 213, 2*w^2 + 2*w - 1]', '[213, 213, 2*w^2 - 2*w - 9]', '[216, 6, 6]', '[216, 24, -3*w - 9]', '[216, 54, -2*w + 8]', '[216, 216, w^2 - w - 12]', '[218, 218, -2*w^2 + w + 3]', '[219, 219, 2*w^2 + 4*w + 3]', '[222, 222, 2*w^2 - 3*w - 17]', '[222, 222, -3*w^2 + 2*w + 19]', '[222, 222, w^2 - 5*w - 2]', '[223, 223, 2*w^2 - 2*w - 19]', '[225, 15, 4*w^2 - 5*w - 22]', '[225, 45, w^2 + 2]', '[225, 75, 2*w^2 + 2*w - 5]', '[225, 225, 2*w^2 - w - 10]', '[226, 226, w^2 - 3*w - 8]', '[227, 227, -3*w^2 + 28]', '[227, 227, -3*w^2 + 6*w + 4]', '[227, 227, -2*w^2 + 2*w + 1]', '[232, 58, 4*w + 6]', '[232, 232, -6*w^2 + 3*w + 47]', '[233, 233, -5*w - 2]', '[233, 233, -4*w - 7]', '[233, 233, -7*w^2 + 6*w + 48]', '[234, 78, -w^2 + 2*w + 13]', '[234, 234, -2*w^2 + w + 19]', '[235, 235, 6*w + 5]', '[237, 237, -2*w^2 + 3*w + 14]', '[239, 239, -4*w^2 + 5*w + 24]', '[240, 60, 2*w^2 - 4*w - 10]', '[240, 60, 5*w^2 - 3*w - 35]', '[240, 240, -w^2 + 3*w + 10]', '[241, 241, 2*w^2 - 9]', '[243, 9, -3*w^2 + 6*w + 12]', '[243, 27, 6*w + 3]', '[243, 243, -2*w^2 + 7*w + 4]', '[244, 122, w^2 - 3*w - 9]', '[244, 244, 3*w^2 - 5*w - 6]', '[249, 249, -4*w^2 - 3*w + 16]', '[250, 10, -5*w - 5]', '[250, 250, -w^2 - 2*w + 5]', '[256, 8, 4*w^2 - 4*w - 28]', '[256, 16, w^2 + 5*w + 1]', '[256, 16, -4*w^2 + 4*w + 32]', '[256, 64, -2*w^2 + 2*w + 8]', '[256, 256, 2*w^2 + w - 7]', '[257, 257, -7*w^2 + 4*w + 56]', '[257, 257, -2*w^2 + 3*w + 16]', '[257, 257, -3*w^2 + 2*w + 26]', '[260, 130, -3*w^2 + 5*w + 15]', '[260, 260, 2*w^2 - 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4*w - 92]', '[9984, 624, -4*w^2 + 12*w - 8]', '[9984, 624, -7*w^2 - 3*w + 73]', '[9984, 2496, 2*w + 22]', '[9984, 9984, -w^2 - 14*w - 33]', '[9986, 9986, 9*w^2 - 11*w - 72]', '[9987, 9987, -6*w^2 + 4*w + 59]', '[9990, 1110, -3*w^2 + 12*w - 15]', '[9990, 1110, -6*w^2 - 3*w + 15]', '[9990, 1110, -9*w + 15]', '[9990, 9990, -7*w^2 + 7*w + 30]', '[9990, 9990, 3*w^2 - 17*w + 20]', '[9990, 9990, -8*w^2 - 3*w + 5]', '[9991, 9991, 18*w + 17]', '[9991, 9991, 10*w + 31]', '[9991, 9991, 12*w^2 - 19*w - 52]', '[9995, 9995, 2*w^2 + 6*w - 25]', '[9997, 9997, 8*w^2 - 12*w - 21]', '[9998, 9998, 5*w^2 - 11*w - 32]', '[10000, 100, -9*w^2 + 15*w + 47]', '[10000, 100, 5*w^2 + 25*w + 25]', '[10000, 100, -20*w^2 + 10*w + 150]', '[10000, 100, 6*w^2 - 10*w - 48]', '[10000, 400, 9*w^2 - 15*w - 22]', '[10000, 400, -5*w + 25]', '[10000, 2500, 7*w^2 - 13*w - 5]', '[10000, 2500, -4*w^2 - 6*w - 10]', '[10000, 10000, 17*w^2 - 14*w - 115]'], 'label': '3.3.1373.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w - 1]', '[3, 3, w + 2]', '[4, 2, w^2 - w - 7]', '[5, 5, w]', '[9, 3, -w^2 + 2*w + 4]', '[13, 13, -w + 2]', '[25, 5, w^2 - 8]', '[29, 29, 2*w + 3]', '[37, 37, w + 4]', '[37, 37, -3*w^2 + 2*w + 24]', '[37, 37, w^2 + 2*w - 2]', '[47, 47, w^2 - 2]', '[53, 53, w^2 - 2*w - 6]', '[61, 61, w^2 + 2*w + 2]', '[71, 71, 2*w - 1]', '[71, 71, -w^2 + 4*w + 2]', '[71, 71, -w^2 + 4*w - 2]', '[73, 73, -w^2 + 4*w + 4]', '[79, 79, -2*w + 7]', '[83, 83, -2*w^2 + 13]', '[89, 89, -3*w - 4]', '[97, 97, -4*w^2 + 2*w + 33]', '[101, 101, 2*w^2 - w - 12]', '[103, 103, 2*w^2 - 3*w - 4]', '[103, 103, 2*w^2 - 2*w - 11]', '[103, 103, w^2 - 2*w - 12]', '[109, 109, 2*w - 3]', '[113, 113, -2*w^2 + w + 18]', '[137, 137, 2*w^2 - 3*w - 12]', '[149, 149, -2*w^2 + 3*w + 18]', '[151, 151, -2*w^2 + 4*w + 9]', '[163, 163, 2*w^2 - 3*w - 6]', '[163, 163, -2*w^2 - w + 8]', '[163, 163, w - 6]', '[167, 167, w^2 - 12]', '[169, 13, w^2 + 2*w - 4]', '[173, 173, -w - 6]', '[179, 179, 2*w^2 + 3*w + 2]', '[193, 193, -4*w - 1]', '[199, 199, 3*w - 8]', '[211, 211, -4*w^2 + 2*w + 27]', '[211, 211, -6*w^2 + 4*w + 43]', '[211, 211, 3*w^2 - 4*w - 18]', '[223, 223, 2*w^2 - 2*w - 19]', '[227, 227, -3*w^2 + 28]', '[227, 227, -3*w^2 + 6*w + 4]', '[227, 227, -2*w^2 + 2*w + 1]', '[233, 233, -5*w - 2]', '[233, 233, -4*w - 7]', '[233, 233, -7*w^2 + 6*w + 48]', '[239, 239, -4*w^2 + 5*w + 24]', '[241, 241, 2*w^2 - 9]', '[257, 257, -7*w^2 + 4*w + 56]', '[257, 257, -2*w^2 + 3*w + 16]', '[257, 257, -3*w^2 + 2*w + 26]', '[263, 263, 2*w^2 - 5*w - 8]', '[269, 269, 2*w^2 - 6*w - 7]', '[271, 271, -6*w^2 + 5*w + 44]', '[271, 271, -2*w^2 - w + 2]', '[271, 271, 3*w - 2]', '[283, 283, 2*w^2 - 2*w - 7]', '[293, 293, -6*w^2 + 3*w + 46]', '[307, 307, -2*w^2 + 3]', '[307, 307, -4*w^2 + 6*w + 21]', '[307, 307, -4*w^2 + 9*w + 6]', '[311, 311, -4*w^2 + 39]', '[313, 313, -4*w^2 + 8*w + 9]', '[313, 313, -w^2 - 2*w - 4]', '[313, 313, 5*w^2 - 10*w - 18]', '[331, 331, -4*w^2 + 4*w + 29]', '[331, 331, 4*w^2 - w - 34]', '[331, 331, -3*w^2 + 8*w + 2]', '[337, 337, -8*w^2 + 6*w + 57]', '[337, 337, 4*w^2 - 4*w - 31]', '[337, 337, -3*w^2 + 2*w + 18]', '[343, 7, -7]', '[349, 349, 4*w^2 - 10*w - 11]', '[349, 349, w^2 - 6*w - 6]', '[349, 349, w^2 + 2*w - 14]', '[359, 359, -4*w^2 + 3*w + 26]', '[359, 359, 5*w + 6]', '[359, 359, 3*w - 4]', '[367, 367, 2*w^2 - 7]', '[379, 379, 2*w^2 + w - 4]', '[397, 397, 4*w - 11]', '[401, 401, 2*w - 9]', '[409, 409, w^2 - 4*w - 8]', '[421, 421, 7*w + 6]', '[443, 443, w - 8]', '[449, 449, -5*w^2 + 2*w + 38]', '[461, 461, 3*w^2 - 4*w - 6]', '[463, 463, -5*w - 8]', '[467, 467, 4*w^2 - 7*w - 8]', '[479, 479, w^2 - 14]', '[491, 491, w^2 - 6*w - 2]', '[499, 499, -5*w^2 + 8*w + 22]', '[521, 521, 2*w^2 + w - 14]', '[523, 523, -5*w^2 + 6*w + 28]', '[541, 541, 4*w^2 - 12*w - 11]', '[547, 547, 3*w^2 - 4*w - 24]', '[557, 557, 3*w^2 - 4*w - 12]', '[563, 563, 4*w^2 - 7*w - 14]', '[563, 563, -8*w^2 + 8*w + 53]', '[563, 563, -3*w^2 + 4*w + 22]', '[569, 569, -3*w^2 + 10*w + 6]', '[571, 571, -3*w^2 + 26]', '[571, 571, -7*w^2 + 6*w + 54]', '[571, 571, -4*w^2 + w + 32]', '[577, 577, -6*w^2 + 4*w + 49]', '[587, 587, -8*w^2 + 7*w + 54]', '[587, 587, -4*w^2 + 12*w + 3]', '[587, 587, 3*w^2 - 22]', '[593, 593, 6*w + 7]', '[599, 599, 4*w^2 - 4*w - 23]', '[601, 601, -w^2 - 4]', '[607, 607, -3*w^2 + 6*w + 14]', '[617, 617, 2*w^2 + w + 2]', '[619, 619, -6*w^2 + 6*w + 41]', '[643, 643, 2*w^2 - 3*w - 22]', '[653, 653, -2*w^2 - w + 16]', '[677, 677, 4*w - 3]', '[683, 683, 2*w^2 - 5*w - 22]', '[691, 691, 4*w^2 - 9*w - 14]', '[719, 719, -2*w^2 + 8*w - 7]', '[727, 727, 2*w^2 + 2*w + 3]', '[739, 739, 5*w^2 - 2*w - 32]', '[743, 743, 4*w^2 - 3*w - 24]', '[743, 743, -w^2 - 8*w - 8]', '[743, 743, 4*w - 9]', '[757, 757, -6*w - 11]', '[769, 769, w^2 - 6*w - 8]', '[797, 797, -3*w^2 - 4*w + 2]', '[797, 797, -2*w^2 + 2*w - 1]', '[797, 797, -12*w^2 + 9*w + 86]', '[811, 811, -5*w^2 + 2*w + 44]', '[823, 823, -3*w^2 + 6*w + 2]', '[827, 827, -w^2 + 6*w - 6]', '[829, 829, 2*w^2 + 5*w + 6]', '[839, 839, -2*w^2 + 6*w - 3]', '[841, 29, 4*w^2 - 6*w - 23]', '[853, 853, -6*w^2 + 17*w + 12]', '[857, 857, 3*w^2 - 2*w - 14]', '[859, 859, -13*w^2 + 8*w + 102]', '[863, 863, -2*w^2 - 2*w + 27]', '[881, 881, 4*w^2 - 11*w - 12]', '[907, 907, 4*w^2 - 10*w - 13]', '[919, 919, -9*w^2 + 6*w + 64]', '[929, 929, -6*w^2 + 2*w + 53]', '[937, 937, 3*w^2 - 2*w - 6]', '[941, 941, 4*w^2 - 21]', '[991, 991, -6*w^2 + 7*w + 34]']}
39. label: 3.3.1384.1
    {'degree': 3, 'discriminant': 1384, 'ideals': ['[1, 1, 1]', '[2, 2, w - 2]', '[2, 2, w^2 + 2*w - 5]', '[4, 2, -w^2 + 8]', '[4, 2, w^2 + w - 8]', '[4, 4, -w + 1]', '[7, 7, w^2 + w - 7]', '[8, 2, 2]', '[8, 4, -w^2 - 2*w + 6]', '[8, 4, -w^2 - w + 10]', '[8, 8, -w - 3]', '[11, 11, -w^2 - w + 11]', '[11, 11, 2*w^2 + 2*w - 15]', '[11, 11, w^2 + w - 9]', '[13, 13, 2*w - 5]', '[14, 14, w]', '[14, 14, -w^2 + 7]', '[16, 4, 2*w - 4]', '[16, 4, w^2 - 10]', '[16, 4, 2*w^2 + 4*w - 10]', '[16, 8, -w^2 - w + 6]', '[16, 16, -w^2 + 9]', '[17, 17, -w^2 - w + 5]', '[22, 22, w + 1]', '[22, 22, w + 2]', '[22, 22, 2*w^2 + 3*w - 11]', '[22, 22, -2*w^2 - 3*w + 10]', '[22, 22, -2*w^2 - w + 17]', '[22, 22, -w + 4]', '[26, 26, -w - 4]', '[26, 26, w^2 - 3]', '[27, 3, -3]', '[28, 14, 3*w^2 + 2*w - 28]', '[28, 14, w^2 - 3*w]', '[28, 28, -w^2 - 2*w + 7]', '[29, 29, w^2 + w - 3]', '[32, 4, -2*w^2 + 16]', '[32, 4, 2*w^2 + 2*w - 16]', '[32, 8, -w^2 + 6]', '[32, 8, -2*w + 2]', '[32, 16, w^2 - w - 4]', '[32, 32, w^2 + 2*w - 3]', '[34, 34, 2*w^2 + w - 20]', '[34, 34, w^2 - 2*w - 1]', '[37, 37, -2*w^2 + 15]', '[43, 43, 3*w^2 + w - 27]', '[44, 22, w^2 - w - 2]', '[44, 22, w^2 - 12]', '[44, 22, w^2 - 4]', '[44, 22, w^2 - w - 6]', '[44, 22, w^2 + 3*w - 6]', '[44, 22, -3*w^2 - 4*w + 20]', '[44, 44, -w^2 + 5]', '[44, 44, w^2 - 2*w - 3]', '[44, 44, -2*w^2 - 3*w + 13]', '[49, 7, -w^2 + w + 3]', '[49, 49, 2*w + 7]', '[52, 26, -w^2 - 2*w + 8]', '[52, 26, -w^2 - w + 12]', '[52, 52, 3*w^2 + 4*w - 19]', '[54, 6, -3*w + 6]', '[54, 6, -3*w^2 - 6*w + 15]', '[56, 14, 2*w^2 + 2*w - 14]', '[56, 28, -w^2 - 2*w + 14]', '[56, 28, 3*w^2 + w - 28]', '[56, 56, 3*w - 7]', '[58, 58, 5*w - 8]', '[58, 58, 8*w^2 + 15*w - 41]', '[64, 4, 4]', '[64, 8, w^2 - 4*w + 2]', '[64, 8, -2*w^2 - 4*w + 12]', '[64, 8, -2*w^2 - 2*w + 20]', '[64, 16, -2*w - 6]', '[64, 32, w^2 + 3*w - 8]', '[64, 64, w - 5]', '[67, 67, 2*w^2 + 2*w - 17]', '[68, 34, -w^2 - 2*w + 12]', '[68, 34, -w^2 - 3*w + 2]', '[68, 68, 3*w^2 + 2*w - 25]', '[71, 71, 2*w - 1]', '[74, 74, w^2 + 2*w - 9]', '[74, 74, -2*w^2 - 3*w + 8]', '[77, 77, -2*w^2 + 21]', '[77, 77, 2*w - 7]', '[77, 77, 4*w^2 + 2*w - 35]', '[79, 79, 3*w^2 + w - 25]', '[83, 83, w^2 + 3*w - 5]', '[86, 86, -w - 5]', '[86, 86, 4*w^2 + 7*w - 22]', '[88, 22, -2*w^2 - 2*w + 22]', '[88, 22, 4*w^2 + 4*w - 30]', '[88, 22, 2*w^2 + 2*w - 18]', '[88, 44, 3*w^2 + 3*w - 22]', '[88, 44, -3*w^2 - 2*w + 30]', '[88, 44, w^2 - 5*w + 4]', '[88, 44, -w^2 - 2*w + 10]', '[88, 44, -w^2 - w + 2]', '[88, 44, -w^2 - 2*w + 2]', '[88, 88, w^2 + 2*w - 11]', '[88, 88, -3*w^2 - 6*w + 17]', '[88, 88, -w^2 + 1]', '[89, 89, -4*w^2 - 4*w + 31]', '[89, 89, -2*w^2 + 17]', '[89, 89, 2*w^2 + 2*w - 19]', '[91, 91, -w^2 + w + 7]', '[97, 97, 2*w^2 + 2*w - 13]', '[98, 14, 4*w^2 + 3*w - 40]', '[98, 14, -4*w^2 - 3*w + 33]', '[98, 98, 2*w^2 + 3*w - 14]', '[98, 98, 2*w^2 + w - 21]', '[101, 101, 2*w^2 + 2*w - 9]', '[101, 101, 3*w^2 + 3*w - 31]', '[101, 101, w^2 + 3*w - 3]', '[103, 103, -w^2 + 3*w + 1]', '[104, 26, 4*w - 10]', '[104, 52, -w^2 + 2*w - 2]', '[104, 52, w^2 + 3*w - 4]', '[104, 104, -2*w^2 - w + 15]', '[108, 6, 3*w^2 - 24]', '[108, 6, -3*w^2 - 3*w + 24]', '[108, 12, 3*w - 3]', '[109, 109, -w^2 + w + 15]', '[112, 28, 2*w]', '[112, 28, -3*w^2 - 4*w + 14]', '[112, 28, -2*w^2 + 14]', '[112, 56, -w^2 - 3*w]', '[112, 112, 4*w^2 + 3*w - 35]', '[116, 58, -w^2 + 2*w + 4]', '[116, 58, 3*w^2 + 5*w - 18]', '[116, 116, -w^2 - 6*w + 11]', '[119, 119, -2*w^2 - 4*w + 7]', '[121, 11, w^2 + 3*w - 9]', '[121, 11, 3*w^2 + 5*w - 13]', '[121, 11, 2*w^2 - 6*w + 3]', '[121, 121, 4*w - 5]', '[121, 121, w^2 - w - 13]', '[121, 121, w^2 + w - 13]', '[125, 5, -5]', '[127, 127, -w^2 - 3*w + 15]', '[128, 8, 4*w - 8]', '[128, 8, 2*w^2 - 20]', '[128, 8, 4*w^2 + 8*w - 20]', '[128, 16, 3*w^2 + 4*w - 18]', '[128, 16, -2*w^2 - 2*w + 12]', '[128, 32, -2*w^2 + 18]', '[128, 64, w^2 - 7*w + 10]', '[128, 128, -2*w^2 - 5*w + 11]', '[134, 134, -2*w^2 - 3*w + 23]', '[134, 134, -w + 6]', '[136, 34, -2*w^2 - 2*w + 10]', '[136, 68, -w^2 + 6*w - 10]', '[136, 68, -w^2 + w + 8]', '[136, 136, -4*w^2 - 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14*w + 61]', '[1856, 116, 4*w^2 + 4*w - 12]', '[1856, 232, -14*w^2 - 28*w + 76]', '[1856, 232, 3*w^2 - 20*w + 22]', '[1856, 232, -2*w^2 - 6*w + 24]', '[1856, 464, -10*w^2 - 20*w + 46]', '[1856, 928, 7*w^2 + 19*w - 46]', '[1856, 1856, -3*w^2 + 2*w + 1]', '[1859, 143, -9*w^2 - 7*w + 79]', '[1859, 143, -w^2 + 5*w + 3]', '[1859, 143, w^2 - 5*w - 29]', '[1859, 1859, 2*w^2 - 8*w + 1]', '[1859, 1859, 6*w^2 - 2*w - 39]', '[1859, 1859, -4*w^2 - 2*w + 17]', '[1867, 1867, 2*w^2 - 2*w + 3]', '[1868, 934, -w^2 - 3*w + 22]', '[1868, 934, -21*w^2 - 12*w + 188]', '[1868, 1868, 10*w^2 + 15*w - 57]', '[1871, 1871, 2*w^2 + 6*w - 25]', '[1873, 1873, -7*w^2 - 13*w + 41]', '[1874, 1874, 6*w^2 + 5*w - 44]', '[1874, 1874, 11*w^2 + 4*w - 101]', '[1876, 938, -w^2 + 6*w]', '[1876, 938, -5*w^2 + 3*w + 28]', '[1876, 1876, -w^2 - 4*w - 7]', '[1883, 1883, 2*w^2 - 12*w + 21]', '[1889, 1889, -11*w^2 - 5*w + 107]', '[1889, 1889, 3*w^2 + 9*w - 1]', '[1889, 1889, 6*w^2 - 2*w - 43]', '[1892, 946, 19*w^2 + 32*w - 100]', '[1892, 946, -w^2 - 7*w - 10]', '[1892, 946, 15*w^2 + 25*w - 78]', '[1892, 946, w^2 - 2*w + 8]', '[1892, 946, 5*w^2 + 10*w - 32]', '[1892, 946, w^2 + w - 20]', '[1892, 1892, 13*w^2 + 8*w - 113]', '[1892, 1892, -w^2 - 6*w - 5]', '[1892, 1892, -15*w^2 - 24*w + 83]', '[1897, 1897, -17*w^2 - 11*w + 161]', '[1901, 1901, 2*w^2 + 4*w - 1]', '[1901, 1901, 17*w^2 + 31*w - 89]', '[1901, 1901, 6*w^2 + 6*w - 41]', '[1903, 1903, 12*w^2 + 8*w - 109]', '[1903, 1903, -13*w^2 - 11*w + 107]', '[1903, 1903, -10*w^2 - 16*w + 59]', '[1903, 1903, -8*w^2 - 4*w + 67]', '[1903, 1903, -2*w - 13]', '[1903, 1903, 10*w^2 + 2*w - 85]', '[1904, 476, -4*w^2 - 10*w + 28]', '[1904, 476, w^2 + 8*w + 14]', '[1904, 476, -2*w + 14]', '[1904, 952, -5*w^2 - 7*w + 56]', '[1904, 1904, w^2 - 4*w - 21]', '[1907, 1907, 2*w^2 + 2*w - 1]', '[1912, 478, -18*w^2 - 30*w + 86]', '[1912, 956, -5*w^2 + 10*w - 2]', '[1912, 956, 5*w^2 + 11*w - 32]', '[1912, 1912, w - 13]', '[1917, 213, 6*w - 3]', '[1918, 1918, -w^2 + 4*w + 7]', '[1918, 1918, -2*w^2 - 7*w + 7]', '[1918, 1918, -2*w^2 - 5*w]', '[1918, 1918, -6*w^2 - 7*w + 28]', '[1918, 1918, -11*w + 28]', '[1918, 1918, 7*w^2 + 6*w - 63]', '[1924, 962, 5*w^2 - 2*w - 36]', '[1924, 962, -7*w^2 - 9*w + 50]', '[1924, 1924, w^2 + 10*w - 15]', '[1928, 482, -10*w^2 - 10*w + 78]', '[1928, 964, 9*w^2 + 2*w - 78]', '[1928, 964, w^2 + 7*w - 8]', '[1928, 1928, -4*w^2 + w + 23]', '[1933, 1933, 4*w - 17]', '[1933, 1933, 6*w^2 - 4*w - 37]', '[1933, 1933, -3*w^2 - 3*w + 37]', '[1934, 1934, 10*w^2 + 19*w - 55]', '[1934, 1934, -2*w^2 + 11*w - 8]', '[1936, 44, -5*w^2 - 4*w + 34]', '[1936, 44, -8*w^2 - 2*w + 72]', '[1936, 44, -5*w^2 - 12*w + 18]', '[1936, 44, -w^2 - 8*w + 26]', '[1936, 44, 8*w^2 + 6*w - 64]', '[1936, 44, -4*w^2 - 10*w + 16]', '[1936, 44, 2*w^2 - 16*w + 26]', '[1936, 44, 6*w^2 + 4*w - 46]', '[1936, 44, -2*w^2 + 4*w - 6]', '[1936, 88, -3*w^2 - 9*w + 16]', '[1936, 88, -3*w^2 + 9*w - 10]', '[1936, 88, w^2 + 9*w - 30]', '[1936, 176, 4*w^2 + w - 25]', '[1936, 176, 2*w^2 + 7*w - 5]', '[1936, 176, -12*w^2 - 19*w + 59]', '[1936, 484, 2*w^2 + 8*w + 2]', '[1936, 484, -6*w^2 + 50]', '[1936, 484, -10*w + 24]', '[1936, 484, -w^2 - 6]', '[1936, 484, 5*w^2 + 12*w - 26]', '[1936, 484, 3*w^2 - 4*w + 2]', '[1936, 484, 4*w^2 + 6*w - 44]', '[1936, 484, -4*w^2 - 2*w + 24]', '[1936, 484, -4*w^2 - 10*w + 18]', '[1936, 968, 5*w^2 + 3*w - 36]', '[1936, 968, -3*w^2 - 11*w + 26]', '[1936, 968, 9*w^2 + 11*w - 64]', '[1936, 1936, 10*w^2 + 3*w - 89]', '[1936, 1936, w^2 - 4*w + 11]', '[1936, 1936, -2*w^2 - 9*w + 15]', '[1937, 1937, -4*w^2 + 8*w + 5]', '[1939, 1939, 2*w^2 + 6*w - 35]', '[1939, 1939, -4*w^2 + 2*w + 21]', '[1939, 1939, 5*w^2 - 7*w - 21]', '[1942, 1942, -3*w^2 - 10*w + 19]', '[1942, 1942, 4*w^2 - 23*w + 30]', '[1943, 1943, 5*w^2 + 9*w - 33]', '[1946, 1946, -18*w^2 - 11*w + 168]', '[1946, 1946, -5*w^2 + 12*w + 7]', '[1948, 974, 3*w^2 - 2*w - 24]', '[1948, 974, -5*w^2 + 27*w - 32]', '[1948, 1948, 5*w^2 + 14*w - 31]', '[1951, 1951, -14*w^2 - 6*w + 123]', '[1954, 1954, 16*w^2 + 29*w - 76]', '[1954, 1954, -7*w^2 - 10*w + 47]', '[1958, 1958, -2*w^2 - 7*w + 6]', '[1958, 1958, -w^2 + 8*w - 5]', '[1958, 1958, 20*w^2 + 9*w - 183]', '[1958, 1958, 6*w^2 + 7*w - 47]', '[1958, 1958, 8*w^2 + 5*w - 80]', '[1958, 1958, 4*w^2 + 7*w - 48]', '[1958, 1958, 4*w^2 + 7*w - 13]', '[1958, 1958, -4*w^2 - 7*w + 30]', '[1958, 1958, -22*w^2 - 13*w + 205]', '[1958, 1958, 6*w^2 + 3*w - 47]', '[1958, 1958, -8*w^2 - 7*w + 68]', '[1958, 1958, 8*w^2 + 5*w - 66]', '[1958, 1958, -6*w^2 + 3*w + 40]', '[1958, 1958, -12*w^2 - 13*w + 87]', '[1958, 1958, 5*w + 13]', '[1958, 1958, -16*w^2 - 17*w + 118]', '[1958, 1958, -4*w^2 - 3*w + 45]', '[1958, 1958, -6*w^2 - 3*w + 62]', '[1964, 982, 3*w^2 - 16*w + 24]', '[1964, 982, 5*w^2 + 5*w - 24]', '[1964, 982, -w^2 - 6*w + 4]', '[1964, 982, -3*w^2 + 25*w - 32]', '[1964, 982, 9*w^2 + 7*w - 86]', '[1964, 982, w^2 - 20]', '[1964, 1964, 2*w^2 - 3*w - 15]', '[1964, 1964, 19*w^2 + 38*w - 101]', '[1964, 1964, -2*w^2 + 5*w + 37]', '[1966, 1966, -14*w^2 - 27*w + 71]', '[1966, 1966, 4*w^2 - w - 34]', '[1966, 1966, -4*w^2 - 5*w + 48]', '[1966, 1966, -11*w + 20]', '[1966, 1966, 14*w^2 + 5*w - 121]', '[1966, 1966, 8*w^2 + 9*w - 55]', '[1967, 1967, -12*w + 35]', '[1969, 1969, -2*w^2 - 4*w + 31]', '[1969, 1969, 4*w^2 + 6*w - 33]', '[1969, 1969, 11*w^2 + 15*w - 69]', '[1972, 986, -w^2 - 8*w + 20]', '[1972, 986, -13*w^2 - 25*w + 64]', '[1972, 1972, 6*w^2 + 7*w - 37]', '[1973, 1973, 14*w^2 + 2*w - 115]', '[1973, 1973, 4*w^2 - 6*w - 3]', '[1973, 1973, 7*w^2 + 3*w - 57]', '[1979, 1979, -4*w^2 + 47]', '[1979, 1979, -4*w^2 - 10*w + 17]', '[1979, 1979, -w^2 + 7*w + 33]', '[1981, 1981, -8*w^2 - 2*w + 77]', '[1981, 1981, -15*w^2 - 7*w + 133]', '[1981, 1981, -w^2 + w - 7]', '[1987, 1987, 2*w^2 - 4*w - 11]', '[1988, 994, 7*w^2 + 2*w - 56]', '[1988, 994, -5*w^2 + 23*w - 28]', '[1988, 1988, -5*w^2 - 4*w + 21]', '[1994, 1994, -5*w - 1]', '[1994, 1994, 8*w^2 + 11*w - 38]', '[1996, 998, -3*w^2 + 2*w + 36]', '[1996, 998, -w^2 - 9*w + 20]', '[1996, 998, -3*w^2 + 13*w - 8]', '[1996, 998, -7*w^2 - 6*w + 64]', '[1996, 998, 5*w^2 - 6*w - 20]', '[1996, 998, w^2 + 3*w + 6]', '[1996, 1996, -17*w^2 - 32*w + 85]', '[1996, 1996, -5*w^2 + 8*w + 1]', '[1996, 1996, 7*w^2 + 14*w - 41]', '[1998, 222, 3*w^2 + 6*w - 27]', '[1998, 222, -6*w^2 - 9*w + 24]', '[2000, 20, -10*w + 20]', '[2000, 20, -5*w^2 + 50]', '[2000, 20, -10*w^2 - 20*w + 50]', '[2000, 40, 5*w^2 + 5*w - 30]', '[2000, 80, 5*w^2 - 45]', '[2002, 2002, -4*w^2 - 9*w + 28]', '[2002, 2002, -4*w^2 + 7*w + 14]', '[2002, 2002, -2*w^2 - w + 28]', '[2002, 2002, -w^2 - 2*w + 21]', '[2002, 2002, 5*w^2 + 8*w - 35]', '[2002, 2002, -11*w^2 - 8*w + 105]', '[2003, 2003, -15*w^2 - 11*w + 129]', '[2008, 502, 4*w^2 - 4*w - 6]', '[2008, 1004, -5*w^2 - 18*w + 38]', '[2008, 1004, 3*w^2 - 9*w - 2]', '[2008, 2008, -6*w^2 - 11*w + 37]', '[2017, 2017, 17*w^2 + 5*w - 145]', '[2023, 119, -6*w^2 - 2*w + 63]', '[2023, 2023, -2*w^2 - 8*w + 35]', '[2026, 2026, -4*w^2 - w + 15]', '[2026, 2026, -2*w^2 + 3*w + 34]', '[2027, 2027, 3*w^2 + 7*w - 25]', '[2029, 2029, 4*w^2 + 6*w - 13]', '[2032, 508, -4*w^2 + 22*w - 32]', '[2032, 508, 11*w^2 + 4*w - 94]', '[2032, 508, -4*w^2 - 2*w + 18]', '[2032, 1016, -3*w^2 + 3*w + 20]', '[2032, 2032, -10*w^2 - w + 79]', '[2036, 1018, 7*w^2 - 52]', '[2036, 1018, -w^2 + 3*w + 24]', '[2036, 2036, -4*w^2 + w + 11]', '[2041, 2041, 6*w^2 + 6*w - 59]', '[2042, 2042, -2*w^2 - 7*w + 22]', '[2042, 2042, 2*w^2 - w + 2]', '[2042, 2042, -11*w^2 - 8*w + 97]', '[2042, 2042, -17*w^2 - 32*w + 83]', '[2042, 2042, 21*w^2 + 36*w - 107]', '[2042, 2042, 14*w^2 + 3*w - 118]', '[2048, 16, -8*w^2 + 64]', '[2048, 16, 8*w^2 + 8*w - 64]', '[2048, 32, -4*w^2 + 24]', '[2048, 32, 2*w^2 + 8*w - 12]', '[2048, 32, -8*w + 8]', '[2048, 64, -11*w^2 - 12*w + 82]', '[2048, 64, 4*w^2 - 4*w - 16]', '[2048, 128, 4*w^2 + 8*w - 12]', '[2048, 256, -6*w^2 - 6*w + 52]', '[2048, 512, -2*w^2 + 12*w - 10]', '[2048, 1024, 11*w^2 + 21*w - 60]', '[2048, 2048, -2*w^2 - 3*w + 1]', '[2053, 2053, -2*w^2 + 4*w + 33]', '[2054, 2054, -5*w + 19]', '[2054, 2054, -2*w^2 - 9*w + 22]', '[2057, 187, -w^2 + 13*w - 25]', '[2057, 187, -4*w^2 - 12*w + 25]', '[2057, 187, 7*w^2 + w - 61]', '[2057, 2057, 8*w^2 + 12*w - 51]', '[2057, 2057, -7*w^2 - 5*w + 55]', '[2057, 2057, 4*w^2 + 2*w - 23]', '[2059, 2059, -5*w^2 - 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73]', '[9988, 4994, -23*w^2 - 12*w + 220]', '[9988, 4994, -7*w^2 + 11*w + 18]', '[9988, 4994, w^2 - 9*w - 2]', '[9988, 4994, 21*w^2 + 16*w - 180]', '[9988, 4994, -15*w^2 + 3*w + 110]', '[9988, 4994, -7*w^2 + 4*w + 36]', '[9988, 9988, -13*w^2 + 12*w + 69]', '[9988, 9988, 9*w^2 - 2*w - 59]', '[9988, 9988, 12*w^2 + 11*w - 103]', '[9989, 9989, 2*w^2 - 16*w + 35]', '[9991, 9991, 3*w^2 + 11*w - 41]', '[9997, 9997, 9*w^2 + 3*w - 67]', '[9997, 9997, 6*w^2 - 8*w - 11]', '[9997, 9997, 16*w^2 + 12*w - 143]', '[9998, 9998, -10*w^2 - 9*w + 41]', '[9998, 9998, -10*w^2 + 43*w - 48]'], 'label': '3.3.1384.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w - 2]', '[2, 2, w^2 + 2*w - 5]', '[7, 7, w^2 + w - 7]', '[11, 11, -w^2 - w + 11]', '[11, 11, 2*w^2 + 2*w - 15]', '[11, 11, w^2 + w - 9]', '[13, 13, 2*w - 5]', '[17, 17, -w^2 - w + 5]', '[27, 3, -3]', '[29, 29, w^2 + w - 3]', '[37, 37, -2*w^2 + 15]', '[43, 43, 3*w^2 + w - 27]', '[49, 7, -w^2 + w + 3]', '[67, 67, 2*w^2 + 2*w - 17]', '[71, 71, 2*w - 1]', '[79, 79, 3*w^2 + w - 25]', '[83, 83, w^2 + 3*w - 5]', '[89, 89, -4*w^2 - 4*w + 31]', '[89, 89, -2*w^2 + 17]', '[89, 89, 2*w^2 + 2*w - 19]', '[97, 97, 2*w^2 + 2*w - 13]', '[101, 101, 2*w^2 + 2*w - 9]', '[101, 101, 3*w^2 + 3*w - 31]', '[101, 101, w^2 + 3*w - 3]', '[103, 103, -w^2 + 3*w + 1]', '[109, 109, -w^2 + w + 15]', '[125, 5, -5]', '[127, 127, -w^2 - 3*w + 15]', '[137, 137, -2*w - 5]', '[137, 137, -2*w^2 - 4*w + 13]', '[137, 137, -2*w^2 + 2*w + 9]', '[139, 139, -4*w + 9]', '[149, 149, -2*w - 1]', '[157, 157, -2*w^2 + 23]', '[163, 163, -w^2 + w - 1]', '[169, 13, 5*w^2 + w - 41]', '[173, 173, -5*w^2 - 9*w + 23]', '[173, 173, w^2 - w - 9]', '[179, 179, w^2 + w - 1]', '[191, 191, 3*w^2 + 3*w - 25]', '[193, 193, -5*w^2 - 3*w + 43]', '[197, 197, 2*w^2 - 4*w - 3]', '[199, 199, w^2 - w - 11]', '[211, 211, -w^2 - 3*w + 11]', '[223, 223, 3*w^2 + 5*w - 19]', '[227, 227, 2*w^2 + 2*w - 23]', '[229, 229, w^2 + 3*w - 13]', '[239, 239, -9*w^2 - 15*w + 43]', '[241, 241, -5*w^2 - 5*w + 39]', '[251, 251, 2*w^2 - 2*w - 3]', '[269, 269, -4*w^2 - 4*w + 29]', '[271, 271, 6*w^2 - 47]', '[277, 277, -2*w^2 + 2*w + 29]', '[277, 277, 4*w^2 + 8*w - 23]', '[277, 277, 7*w^2 + 5*w - 61]', '[281, 281, -6*w^2 - 4*w + 51]', '[283, 283, 4*w^2 + 4*w - 43]', '[283, 283, 3*w^2 + 3*w - 29]', '[283, 283, -2*w^2 + 4*w + 1]', '[289, 17, 3*w^2 + w - 23]', '[307, 307, 7*w^2 + 5*w - 69]', '[307, 307, -6*w^2 - 2*w + 51]', '[307, 307, -8*w + 13]', '[313, 313, 2*w^2 - 11]', '[313, 313, -5*w^2 - 5*w + 37]', '[313, 313, w^2 - 3*w + 5]', '[317, 317, -7*w^2 - 5*w + 59]', '[331, 331, -6*w + 11]', '[337, 337, -4*w + 13]', '[337, 337, 6*w^2 + 4*w - 59]', '[337, 337, w^2 - 3*w - 3]', '[347, 347, 8*w^2 + 14*w - 43]', '[353, 353, 5*w^2 + w - 43]', '[367, 367, 2*w^2 - 9]', '[367, 367, 3*w^2 + 3*w - 19]', '[367, 367, w^2 + w - 15]', '[379, 379, 7*w^2 + 5*w - 67]', '[383, 383, -3*w^2 - 7*w + 15]', '[383, 383, -6*w^2 - 2*w + 57]', '[383, 383, w^2 - 5*w + 9]', '[389, 389, -2*w^2 - 4*w + 25]', '[397, 397, 2*w^2 - 2*w - 5]', '[409, 409, 8*w^2 + 2*w - 67]', '[419, 419, -2*w - 9]', '[433, 433, 6*w^2 + 2*w - 55]', '[439, 439, 2*w^2 + 2*w - 5]', '[449, 449, 2*w^2 + 4*w - 5]', '[457, 457, 2*w^2 + 6*w - 33]', '[467, 467, 15*w^2 + 7*w - 135]', '[487, 487, -4*w^2 + 6*w + 15]', '[491, 491, -4*w^2 - 2*w + 41]', '[491, 491, -2*w^2 + 6*w + 1]', '[491, 491, -6*w^2 - 12*w + 29]', '[499, 499, 4*w^2 - 33]', '[499, 499, 4*w^2 + 6*w - 47]', '[499, 499, w^2 + 5*w - 13]', '[509, 509, 2*w^2 + 4*w - 17]', '[521, 521, -w^2 + w - 3]', '[523, 523, -2*w^2 - 6*w + 11]', '[541, 541, -6*w^2 - 10*w + 27]', '[557, 557, 5*w^2 - w - 37]', '[569, 569, -8*w^2 - 6*w + 69]', '[571, 571, 5*w^2 + 3*w - 41]', '[577, 577, 3*w^2 - w - 23]', '[593, 593, 4*w^2 - 29]', '[599, 599, 3*w^2 + w - 33]', '[601, 601, w^2 + 5*w - 19]', '[607, 607, 5*w^2 + 7*w - 25]', '[607, 607, 2*w^2 - 25]', '[607, 607, -10*w^2 - 18*w + 53]', '[617, 617, 7*w^2 + 11*w - 37]', '[619, 619, 4*w^2 + 4*w - 27]', '[631, 631, w^2 - 5*w + 1]', '[641, 641, 4*w^2 + 4*w - 39]', '[641, 641, 4*w^2 - 45]', '[641, 641, 4*w^2 + 2*w - 31]', '[643, 643, w^2 - 3*w - 5]', '[647, 647, 2*w^2 + 4*w - 23]', '[659, 659, 2*w^2 + 4*w - 19]', '[661, 661, 2*w^2 + 2*w - 25]', '[673, 673, -7*w^2 - 5*w + 65]', '[677, 677, -5*w^2 - 7*w + 27]', '[683, 683, -9*w^2 - 5*w + 79]', '[691, 691, 5*w^2 + w - 45]', '[701, 701, w^2 + 5*w - 15]', '[709, 709, 5*w^2 + 5*w - 51]', '[709, 709, 3*w^2 + w - 11]', '[709, 709, 2*w^2 + 6*w - 5]', '[719, 719, 3*w^2 - 7*w - 1]', '[733, 733, 4*w - 1]', '[739, 739, -5*w^2 - 5*w + 41]', '[743, 743, 6*w^2 + 8*w - 37]', '[743, 743, 2*w^2 + 6*w - 17]', '[743, 743, 4*w^2 - 2*w - 27]', '[751, 751, w^2 + 5*w - 17]', '[757, 757, -5*w^2 - w + 53]', '[757, 757, 8*w^2 + 2*w - 69]', '[757, 757, -w^2 - 3*w - 3]', '[761, 761, 2*w - 11]', '[769, 769, -w^2 + 3*w + 19]', '[769, 769, 2*w^2 + 6*w - 9]', '[769, 769, -4*w^2 + 2*w + 51]', '[773, 773, 3*w^2 - w - 17]', '[787, 787, -4*w^2 - 8*w + 25]', '[797, 797, -5*w^2 - w + 47]', '[797, 797, w^2 + w - 17]', '[797, 797, -2*w^2 - 8*w + 15]', '[811, 811, 3*w^2 + 5*w - 23]', '[823, 823, -2*w^2 + 10*w - 15]', '[827, 827, 5*w^2 + w - 39]', '[829, 829, 8*w^2 + 8*w - 85]', '[839, 839, 3*w^2 - 11*w + 5]', '[841, 29, 5*w^2 + 3*w - 51]', '[857, 857, -8*w + 15]', '[859, 859, -4*w^2 + 41]', '[863, 863, 7*w^2 + 13*w - 39]', '[877, 877, 2*w^2 - 8*w + 3]', '[877, 877, -11*w^2 - 21*w + 55]', '[877, 877, -w^2 + 7*w - 5]', '[911, 911, 10*w^2 + 8*w - 99]', '[937, 937, 5*w^2 - w - 57]', '[967, 967, 3*w^2 + w - 17]', '[971, 971, 4*w - 15]', '[977, 977, -8*w^2 - 4*w + 69]', '[983, 983, -w^2 - w - 3]', '[983, 983, -10*w^2 - 6*w + 87]', '[983, 983, 3*w^2 - 3*w - 5]', '[997, 997, 3*w^2 + 5*w - 39]']}
40. label: 3.3.1396.1
    {'degree': 3, 'discriminant': 1396, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 1]', '[4, 2, -w^2 + 7]', '[5, 5, w]', '[5, 5, -w^2 + 6]', '[5, 5, -w + 2]', '[7, 7, w + 2]', '[8, 2, 2]', '[10, 10, w + 1]', '[10, 10, -w - 3]', '[10, 10, w^2 - 3*w]', '[11, 11, 2*w - 1]', '[13, 13, w^2 + w - 3]', '[14, 14, w^2 - w - 6]', '[16, 4, -2*w + 2]', '[20, 10, -w^2 + 5]', '[20, 10, w^2 - 2*w - 3]', '[20, 10, -w^2 + 9]', '[22, 22, -w^2 + w + 8]', '[25, 5, -w^2 - w + 5]', '[25, 5, -w^2 + 2*w]', '[25, 5, -w^2 + w + 7]', '[25, 25, 2*w - 5]', '[25, 25, 2*w^2 - w - 16]', '[25, 25, w - 4]', '[26, 26, -w^2 + w + 4]', '[27, 3, 3]', '[28, 14, w^2 - 2*w - 1]', '[32, 4, -2*w^2 + 14]', '[35, 35, 2*w - 3]', '[35, 35, -w^2 + 4]', '[35, 35, w^2 + 2*w]', '[40, 10, 2*w]', '[40, 10, -2*w^2 + 12]', '[40, 10, -2*w + 4]', '[41, 41, w^2 - w - 1]', '[41, 41, 3*w^2 - w - 23]', '[41, 41, w^2 - 2]', '[43, 43, w^2 - w - 3]', '[44, 22, -w^2 + 3]', '[47, 47, -w - 4]', '[49, 7, 3*w^2 - 2*w - 24]', '[49, 49, -w^2 + w - 1]', '[50, 10, w^2 + w]', '[50, 10, -w^2 - 3*w]', '[50, 10, -w^2 + w + 2]', '[50, 50, -2*w^2 - w + 11]', '[50, 50, -w^2 + w + 10]', '[50, 50, w^2 + w - 6]', '[52, 26, -w^2 + 4*w - 1]', '[53, 53, 2*w^2 - w - 12]', '[54, 6, -3*w + 3]', '[55, 55, -w^2 + 5*w - 5]', '[55, 55, -w^2 - 2*w + 4]', '[55, 55, 2*w^2 + 2*w - 7]', '[56, 14, 2*w + 4]', '[59, 59, w^2 - 2*w - 4]', '[61, 61, -w^2 + 3*w - 3]', '[64, 4, 4]', '[65, 65, -w^2 + 10]', '[65, 65, -2*w - 1]', '[65, 65, w^2 - 2*w + 2]', '[70, 70, 3*w - 1]', '[70, 70, w^2 + 3*w + 2]', '[70, 70, w - 5]', '[71, 71, w^2 + w - 7]', '[77, 77, w^2 + w - 9]', '[79, 79, 2*w + 3]', '[80, 20, 2*w + 2]', '[80, 20, -2*w - 6]', '[80, 20, 2*w^2 - 6*w]', '[82, 82, 4*w^2 - w - 27]', '[82, 82, w^2 + w - 8]', '[82, 82, -5*w + 3]', '[86, 86, w^2 - 5*w + 2]', '[88, 22, 4*w - 2]', '[89, 89, 2*w - 7]', '[91, 91, -w^2 + 5*w - 7]', '[94, 94, w^2 + 3*w - 4]', '[97, 97, 2*w^2 - 11]', '[98, 14, 2*w^2 + w - 9]', '[98, 98, 2*w^2 - w - 17]', '[100, 10, -w^2 - 4*w - 3]', '[100, 10, -w^2 + 4*w - 5]', '[100, 10, -w^2 + 2*w + 5]', '[100, 50, -w^2 - 2*w + 5]', '[100, 50, -w^2 - 1]', '[100, 50, w^2 + 2*w + 1]', '[101, 101, 3*w - 4]', '[103, 103, -2*w^2 - 2*w + 9]', '[104, 26, 2*w^2 + 2*w - 6]', '[106, 106, w^2 - 3*w - 2]', '[107, 107, 2*w^2 - 2*w - 17]', '[108, 6, -3*w^2 + 21]', '[110, 110, w + 5]', '[110, 110, 3*w - 7]', '[110, 110, -2*w^2 + w + 11]', '[112, 28, 2*w^2 - 2*w - 12]', '[113, 113, -3*w^2 - 3*w + 11]', '[118, 118, 2*w^2 - 5*w + 1]', '[121, 11, 4*w^2 - 2*w - 29]', '[121, 121, -2*w^2 - w + 12]', '[122, 122, 4*w^2 - w - 31]', '[125, 5, 5]', '[125, 25, 3*w^2 + 4*w - 10]', '[125, 25, -2*w^2 - 2*w + 5]', '[125, 25, w^2 - 4*w]', '[125, 25, -w^2 + 6*w - 8]', '[125, 25, w^2 - 2*w - 10]', '[125, 25, -2*w^2 + 2*w + 9]', '[125, 125, 3*w^2 - w - 19]', '[125, 125, 2*w^2 - 5*w]', '[125, 125, 3*w^2 - 22]', '[127, 127, -w^2 - w - 1]', '[128, 8, -4*w + 4]', '[130, 130, -2*w^2 + 5*w + 3]', '[130, 130, -3*w + 5]', '[130, 130, -3*w^2 + w + 24]', '[131, 131, -w^2 + w + 11]', '[135, 15, 3*w]', '[135, 15, -3*w^2 + 18]', '[135, 15, -3*w + 6]', '[137, 137, w^2 - 2*w - 6]', '[140, 70, w^2 - 11]', '[140, 70, -3*w^2 + 2*w + 23]', '[140, 70, -w^2 + 6*w - 5]', '[142, 142, -w^2 + w - 2]', '[143, 143, -w + 6]', '[149, 149, w^2 + 2*w - 6]', '[154, 154, -w^2 + 3*w - 4]', '[158, 158, -2*w^2 - w + 3]', '[160, 20, -2*w^2 + 10]', '[160, 20, 2*w^2 - 4*w - 6]', '[160, 20, -2*w^2 + 18]', '[163, 163, -2*w^2 - w + 8]', '[164, 82, w^2 - 2*w - 7]', '[164, 82, -w^2 + 2*w - 3]', '[164, 82, w^2 - 2*w - 9]', '[167, 167, -2*w^2 + 2*w + 13]', '[169, 13, 2*w^2 - 3*w - 6]', '[169, 169, 4*w^2 - 27]', '[172, 86, 3*w^2 - 2*w - 21]', '[173, 173, w^2 + 6*w - 4]', '[175, 35, 2*w^2 - 3*w]', '[175, 35, -2*w^2 + 2*w + 19]', '[175, 35, -w^2 - 3*w + 5]', '[175, 175, -w^2 + 3*w + 3]', '[175, 175, w^2 - 2*w - 8]', '[175, 175, 2*w^2 - w - 10]', '[176, 44, -2*w^2 + 2*w + 16]', '[178, 178, -2*w^2 + 9*w - 7]', '[179, 179, 3*w^2 - 2*w - 22]', '[182, 182, -2*w^2 - w + 13]', '[188, 94, 5*w^2 - 33]', '[189, 21, 3*w + 6]', '[191, 191, -w^2 + 6*w - 6]', '[191, 191, w^2 + 2*w - 12]', '[191, 191, 9*w^2 - 2*w - 64]', '[193, 193, 6*w^2 - 2*w - 41]', '[194, 194, -3*w - 1]', '[196, 14, -w^2 - 4*w + 1]', '[196, 98, w^2 + 2*w - 7]', '[197, 197, 4*w^2 - w - 26]', '[199, 199, 6*w^2 - w - 44]', '[200, 10, -2*w^2 - 2*w + 10]', '[200, 10, -2*w^2 + 4*w]', '[200, 10, -2*w^2 + 2*w + 14]', '[200, 50, 4*w - 10]', '[200, 50, 4*w^2 - 2*w - 32]', '[200, 50, 2*w - 8]', '[202, 202, -3*w^2 + 7*w - 4]', '[205, 205, -w - 6]', '[205, 205, 2*w^2 - 2*w - 15]', '[205, 205, -3*w^2 + 4*w + 12]', '[205, 205, w^2 + 5*w - 5]', '[205, 205, -w^2 + 3*w + 13]', '[205, 205, -2*w - 7]', '[205, 205, 4*w^2 - 31]', '[205, 205, w^2 - 6*w + 10]', '[205, 205, w^2 - 5*w + 1]', '[206, 206, 2*w^2 + 3*w - 1]', '[208, 52, -2*w^2 + 2*w + 8]', '[211, 211, -w^2 - 2]', '[212, 106, 11*w^2 - 4*w - 79]', '[214, 214, 2*w^2 + w - 7]', '[215, 215, 2*w^2 - w - 18]', '[215, 215, 4*w - 5]', '[215, 215, 2*w^2 - 6*w - 1]', '[216, 6, 6]', '[220, 110, -w^2 - 4*w + 5]', '[220, 110, -w^2 + 2*w + 13]', '[220, 110, -w^2 + 4*w + 1]', '[223, 223, 3*w^2 - 3*w - 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18]', '[1933, 1933, 4*w^2 + 2*w - 29]', '[1934, 1934, w^2 - 5*w - 12]', '[1934, 1934, 11*w^2 - w - 76]', '[1934, 1934, 7*w^2 - 19*w + 8]', '[1936, 44, 4*w^2 - 2*w - 18]', '[1936, 484, 2*w^2 + 2*w + 4]', '[1937, 1937, 4*w^2 + 11*w - 2]', '[1939, 1939, -3*w^2 - 3*w - 1]', '[1940, 970, 5*w^2 - 4*w - 45]', '[1940, 970, -5*w^2 - 2*w + 43]', '[1940, 970, 13*w^2 - 4*w - 89]', '[1942, 1942, -5*w^2 + 5*w + 42]', '[1942, 1942, 2*w^2 - 11*w + 3]', '[1942, 1942, w - 13]', '[1945, 1945, -6*w^2 + 16*w + 5]', '[1945, 1945, -2*w^2 + 5*w + 28]', '[1945, 1945, w^2 - 5*w - 11]', '[1948, 974, 17*w^2 - 6*w - 127]', '[1951, 1951, 5*w^2 + 2*w - 32]', '[1951, 1951, 6*w^2 + 2*w - 37]', '[1951, 1951, -5*w - 16]', '[1952, 244, 2*w^2 + 4*w - 22]', '[1954, 1954, w^2 - 7*w - 2]', '[1954, 1954, 3*w^2 + 13*w - 12]', '[1954, 1954, 4*w^2 - 17*w + 7]', '[1958, 1958, 7*w^2 - 5*w - 46]', '[1960, 70, 2*w^2 - 6*w - 30]', '[1960, 70, -4*w^2 - 2*w + 32]', '[1960, 70, 10*w^2 - 2*w - 66]', '[1960, 490, -6*w^2 + 16*w]', '[1960, 490, -6*w^2 - 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6]', '[397, 397, 3*w^2 - 16]', '[397, 397, 2*w^2 - w - 4]', '[397, 397, w - 8]', '[401, 401, -w^2 - w - 3]', '[421, 421, -4*w^2 + 3*w + 26]', '[431, 431, -w^2 + 2*w + 14]', '[433, 433, 7*w^2 - 46]', '[439, 439, -w^2 + 3*w + 11]', '[461, 461, w^2 + 2*w - 16]', '[463, 463, 13*w^2 - 4*w - 96]', '[467, 467, 5*w - 12]', '[467, 467, -2*w^2 - 1]', '[467, 467, 5*w^2 + w - 31]', '[487, 487, 3*w^2 + w - 21]', '[491, 491, 2*w^2 - 3*w - 18]', '[491, 491, 2*w^2 + 2*w - 13]', '[491, 491, 3*w^2 - 7*w + 1]', '[499, 499, w^2 + 3*w - 9]', '[503, 503, 5*w^2 - 38]', '[509, 509, 3*w^2 - 3*w - 19]', '[521, 521, 5*w^2 - 3*w - 37]', '[523, 523, -3*w^2 - 4*w + 12]', '[557, 557, 7*w^2 - 4*w - 54]', '[569, 569, 5*w^2 - 36]', '[571, 571, 8*w^2 - 3*w - 54]', '[577, 577, w^2 - 4*w - 4]', '[577, 577, w^2 + 3*w - 11]', '[577, 577, 3*w^2 + w - 13]', '[593, 593, -4*w - 3]', '[599, 599, -2*w - 9]', '[601, 601, 4*w^2 + w - 26]', '[613, 613, 8*w^2 - w - 56]', '[613, 613, -3*w^2 + 9*w - 7]', '[613, 613, 2*w^2 + 4*w - 9]', '[619, 619, w^2 + 5*w - 7]', '[631, 631, 6*w^2 - 2*w - 47]', '[631, 631, 4*w^2 - 3*w - 28]', '[631, 631, 6*w^2 - 37]', '[641, 641, -4*w^2 + 2*w + 23]', '[641, 641, w^2 + 7*w - 7]', '[641, 641, 2*w^2 - 3*w - 16]', '[643, 643, 3*w^2 - 11*w + 3]', '[659, 659, 4*w^2 - 4*w - 19]', '[661, 661, 3*w^2 - 2*w - 14]', '[661, 661, -w^2 + 4*w - 8]', '[661, 661, 9*w^2 - 4*w - 64]', '[673, 673, -3*w^2 + 3*w + 23]', '[673, 673, -2*w^2 - 2*w - 1]', '[673, 673, 2*w^2 - 5*w - 6]', '[677, 677, -2*w^2 + 7*w - 8]', '[683, 683, 3*w^2 - 14]', '[683, 683, -2*w^2 + 8*w - 1]', '[683, 683, 3*w^2 + 2*w - 18]', '[691, 691, 4*w^2 + 2*w - 23]', '[709, 709, 2*w^2 + w - 22]', '[719, 719, 3*w^2 - 8*w - 4]', '[727, 727, w^2 - 4*w - 14]', '[727, 727, -2*w^2 + 2*w - 3]', '[727, 727, 3*w^2 - 4*w - 16]', '[733, 733, 6*w^2 - w - 48]', '[751, 751, 4*w^2 - 10*w + 3]', '[757, 757, 3*w^2 - w - 27]', '[761, 761, -w^2 + 10*w - 8]', '[769, 769, -2*w^2 + 12*w - 9]', '[787, 787, 2*w^2 - 21]', '[797, 797, 8*w^2 + w - 48]', '[811, 811, 6*w^2 - 4*w - 47]', '[821, 821, 2*w - 11]', '[821, 821, 3*w^2 - 3*w - 29]', '[821, 821, -2*w^2 + 3*w - 4]', '[823, 823, -6*w + 1]', '[823, 823, 3*w^2 + w - 11]', '[823, 823, 4*w^2 + w - 32]', '[827, 827, 8*w^2 - 4*w - 63]', '[829, 829, -3*w^2 + 7*w + 7]', '[839, 839, 8*w^2 - w - 58]', '[857, 857, 2*w^2 + 3*w - 22]', '[859, 859, 9*w^2 - 3*w - 61]', '[863, 863, 6*w^2 - w - 38]', '[877, 877, -2*w^2 + 5*w - 6]', '[881, 881, w^2 - 5*w - 3]', '[887, 887, 6*w^2 + w - 38]', '[907, 907, 3*w^2 - 12*w + 4]', '[911, 911, 3*w^2 - w - 13]', '[919, 919, w^2 - 7*w + 1]', '[947, 947, -2*w^2 - w - 2]', '[947, 947, -5*w - 2]', '[947, 947, 7*w^2 - 4*w - 48]', '[967, 967, w^2 + 6*w - 8]', '[967, 967, 8*w^2 - w - 52]', '[967, 967, 2*w^2 - 7*w - 2]', '[971, 971, 4*w^2 - 6*w - 13]', '[971, 971, 3*w^2 - 2*w - 12]', '[971, 971, 6*w^2 - 43]', '[977, 977, -2*w^2 - 3*w - 2]', '[977, 977, 4*w^2 - w - 22]', '[977, 977, 3*w^2 - 4*w - 8]', '[997, 997, w^2 - 4*w - 8]']}
41. label: 3.3.1425.1
    {'degree': 3, 'discriminant': 1425, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[3, 3, w + 1]', '[5, 5, w^2 - w - 7]', '[8, 2, 2]', '[9, 3, -w^2 + 2*w + 6]', '[9, 3, w^2 - w - 8]', '[9, 9, -w^2 + w + 6]', '[11, 11, w - 1]', '[13, 13, w^2 - 2*w - 8]', '[15, 15, w + 3]', '[15, 15, -w + 2]', '[17, 17, w^2 - 2*w - 7]', '[19, 19, -w^2 + 2*w + 4]', '[19, 19, -2*w^2 + 3*w + 16]', '[23, 23, -w^2 + 2*w + 2]', '[24, 6, 2*w]', '[24, 6, 2*w + 2]', '[25, 5, -w^2 + 4*w + 1]', '[27, 3, 3]', '[27, 9, w^2 - 2*w - 3]', '[27, 9, w^2 - w - 5]', '[27, 27, -2*w - 3]', '[31, 31, 2*w^2 - 3*w - 13]', '[33, 33, w^2 - 1]', '[33, 33, w^2 - w]', '[37, 37, w^2 - w - 10]', '[39, 39, -w^2 + 3]', '[39, 39, -w^2 + 3*w + 4]', '[40, 10, 2*w^2 - 2*w - 14]', '[43, 43, 3*w^2 - 5*w - 19]', '[43, 43, w^2 - w - 4]', '[43, 43, 2*w^2 - 2*w - 17]', '[45, 15, -w^2 + w + 2]', '[45, 15, -w^2 + 2*w]', '[45, 45, -2*w^2 + 5*w + 3]', '[47, 47, w^2 - 2]', '[51, 51, -w - 4]', '[51, 51, -w^2 + w + 3]', '[55, 55, -w^2 + 2*w + 10]', '[57, 57, w^2 - 4*w - 3]', '[57, 57, -2*w + 1]', '[57, 57, w^2 - 6]', '[57, 57, w - 5]', '[64, 4, 4]', '[65, 65, w^2 + 2*w + 2]', '[67, 67, w^2 - 3*w - 5]', '[69, 69, 2*w^2 - 2*w - 15]', '[69, 69, -3*w^2 + 5*w + 23]', '[72, 6, -2*w^2 + 4*w + 12]', '[72, 6, 2*w^2 - 2*w - 16]', '[72, 18, -2*w^2 + 2*w + 12]', '[75, 15, -2*w^2 + 3*w + 12]', '[75, 15, 2*w^2 - 3*w - 17]', '[79, 79, -w^2 + 3*w - 1]', '[81, 9, 3*w]', '[81, 9, -2*w^2 + 5*w + 4]', '[81, 9, 3*w + 3]', '[81, 27, -w^2 + 5*w + 3]', '[81, 81, 3*w^2 - 5*w - 21]', '[83, 83, w^2 + w - 4]', '[85, 85, w^2 + 1]', '[88, 22, 2*w - 2]', '[93, 93, w^2 - 7]', '[93, 93, -w^2 + 3*w + 6]', '[95, 95, 3*w^2 - 5*w - 22]', '[95, 95, -3*w - 4]', '[97, 97, w^2 - 11]', '[99, 33, 2*w^2 - 4*w - 9]', '[99, 33, -w^2 + w + 11]', '[99, 99, w^2 - 3*w - 9]', '[101, 101, -3*w^2 + 4*w + 20]', '[103, 103, -6*w^2 + 9*w + 44]', '[104, 26, 2*w^2 - 4*w - 16]', '[109, 109, 2*w - 5]', '[111, 111, -2*w + 3]', '[111, 111, w^2 - 3*w - 7]', '[113, 113, -w - 5]', '[113, 113, 2*w^2 - 4*w - 13]', '[113, 113, w^2 - 4*w - 4]', '[115, 115, w^2 - 3*w - 8]', '[117, 39, 2*w^2 - 4*w - 3]', '[117, 39, w^2 - w + 1]', '[117, 117, -4*w^2 + 6*w + 27]', '[120, 30, 2*w + 6]', '[120, 30, -2*w + 4]', '[121, 11, w^2 - 8]', '[121, 121, w^2 - 2*w + 1]', '[125, 5, 5]', '[127, 127, 3*w^2 - 6*w - 17]', '[129, 129, -w^2 + 3*w + 12]', '[129, 129, 4*w + 3]', '[129, 129, 2*w^2 - 3*w - 11]', '[129, 129, -w^2 + 10]', '[129, 129, w^2 + 3*w - 1]', '[129, 129, -w + 6]', '[131, 131, w^2 - 2*w - 11]', '[135, 15, 3*w^2 - 3*w - 21]', '[135, 45, -2*w^2 + 4*w + 15]', '[135, 45, 2*w^2 - 2*w - 19]', '[135, 135, w^2 - 9]', '[136, 34, 2*w^2 - 4*w - 14]', '[137, 137, 5*w^2 - 6*w - 40]', '[141, 141, -3*w^2 + 4*w + 25]', '[141, 141, 3*w^2 - 5*w - 18]', '[143, 143, -2*w^2 + 2*w + 11]', '[149, 149, -5*w^2 + 7*w + 35]', '[151, 151, w^2 + w - 5]', '[152, 38, -2*w^2 + 4*w + 8]', '[152, 38, -4*w^2 + 6*w + 32]', '[153, 51, -w^2 - 4*w]', '[153, 51, 2*w^2 - 5*w - 1]', '[153, 153, -5*w - 3]', '[155, 155, -3*w + 1]', '[165, 165, -w^2 + 3*w - 2]', '[165, 165, w^2 + 2*w - 3]', '[169, 13, -2*w^2 + 7*w + 5]', '[169, 169, -2*w^2 - 2*w + 1]', '[171, 57, 4*w^2 - 7*w - 26]', '[171, 57, 4*w^2 - 5*w - 27]', '[171, 57, w^2 - 4*w - 5]', '[171, 57, w^2 - 5*w]', '[171, 171, w^2 + 2*w + 3]', '[171, 171, -2*w^2 + 3*w + 18]', '[181, 181, -5*w - 1]', '[184, 46, -2*w^2 + 4*w + 4]', '[185, 185, -9*w^2 + 12*w + 67]', '[187, 187, -2*w^2 + 3*w + 10]', '[191, 191, -3*w^2 + 3*w + 25]', '[192, 12, 4*w]', '[192, 12, 4*w + 4]', '[193, 193, 2*w^2 - 4*w - 7]', '[195, 195, -w^2 + w + 12]', '[195, 195, 3*w^2 - 4*w - 19]', '[197, 197, -2*w^2 + w + 13]', '[200, 10, -2*w^2 + 8*w + 2]', '[201, 201, -2*w^2 + 3*w + 3]', '[201, 201, -w^2 - 2]', '[207, 69, 2*w^2 - 5*w - 10]', '[207, 69, 2*w^2 - w - 9]', '[207, 207, w + 6]', '[209, 209, 3*w^2 - 3*w - 22]', '[209, 209, 2*w^2 - 6*w - 7]', '[211, 211, 2*w^2 - w - 20]', '[215, 215, -3*w^2 + 6*w + 25]', '[215, 215, -2*w^2 - w + 5]', '[215, 215, -2*w^2 + 4*w + 5]', '[216, 6, 6]', '[216, 18, 2*w^2 - 4*w - 6]', '[216, 18, 2*w^2 - 2*w - 10]', '[216, 54, -4*w - 6]', '[221, 221, -2*w^2 + w + 2]', '[223, 223, 3*w^2 - 9*w - 2]', '[225, 15, w^2 - 4*w + 4]', '[225, 15, -w^2 - w + 6]', '[225, 45, w^2 - 4*w - 6]', '[229, 229, 2*w^2 - 4*w - 19]', '[229, 229, 3*w - 2]', '[229, 229, 2*w^2 - 7]', '[233, 233, -w^2 + 2*w - 2]', '[235, 235, w - 7]', '[237, 237, w^2 - 6*w - 4]', '[237, 237, 2*w^2 - 9*w - 3]', '[239, 239, -w^2 + w - 2]', '[241, 241, -2*w - 7]', '[243, 9, -3*w^2 + 6*w + 18]', '[243, 9, 3*w^2 - 3*w - 24]', '[243, 27, -5*w^2 + 8*w + 37]', '[243, 27, -3*w^2 + 3*w + 18]', '[243, 81, w^2 - 2*w - 12]', '[243, 243, -2*w^2 + 3*w + 9]', '[247, 247, 3*w^2 - 3*w - 23]', '[247, 247, w^2 + 3*w - 2]', '[248, 62, 4*w^2 - 6*w - 26]', '[249, 249, 3*w^2 + 5*w - 1]', '[249, 249, 2*w^2 + 4*w + 3]', '[251, 251, -5*w^2 + 6*w + 37]', '[253, 253, 2*w^2 - 8*w - 5]', '[255, 255, -2*w + 9]', '[255, 255, 3*w^2 - 5*w - 17]', '[263, 263, 7*w^2 - 11*w - 49]', '[264, 66, 2*w^2 - 2]', '[264, 66, 2*w^2 - 2*w]', '[269, 269, 3*w^2 - 6*w - 14]', '[269, 269, w^2 - 4*w - 7]', '[269, 269, w^2 + 2*w - 4]', '[275, 55, -w^2 - 6*w - 4]', '[279, 93, w^2 + w + 3]', '[279, 93, 2*w^2 + w - 4]', '[279, 279, 2*w^2 - 2*w - 3]', '[281, 281, w^2 - 4*w - 10]', '[281, 281, 7*w^2 - 11*w - 47]', '[281, 281, w^2 + w - 17]', '[283, 283, 2*w^2 - 5*w - 11]', '[283, 283, 2*w^2 - w - 14]', '[283, 283, 2*w^2 - 3*w - 4]', '[285, 285, w^2 - 3*w - 13]', '[285, 285, 4*w^2 - 7*w - 27]', '[285, 285, -2*w^2 + 2*w + 9]', '[285, 285, -5*w^2 + 6*w + 38]', '[289, 17, w^2 - 5*w - 5]', '[289, 289, -5*w^2 + 7*w + 40]', '[291, 291, w^2 - 3*w + 3]', '[291, 291, 2*w^2 - 3*w - 8]', '[293, 293, 3*w^2 - 7*w - 5]', '[293, 293, 3*w^2 - 4*w - 26]', '[293, 293, 2*w^2 - w - 8]', '[296, 74, 2*w^2 - 2*w - 20]', '[297, 33, 3*w - 3]', '[297, 99, -w^2 + 4*w + 8]', '[297, 99, -2*w^2 + 7*w + 6]', '[297, 297, -2*w^2 - w + 3]', '[299, 299, w^2 + w - 7]', '[303, 303, -2*w^2 + 11]', '[303, 303, w^2 - 4*w - 9]', '[307, 307, -5*w^2 + 7*w + 34]', '[309, 309, 3*w^2 - 4*w - 18]', '[309, 309, -3*w^2 + 5*w + 26]', '[311, 311, -7*w^2 + 9*w + 56]', '[312, 78, -2*w^2 + 6]', '[312, 78, -2*w^2 + 6*w + 8]', '[313, 313, -3*w^2 + 3*w + 28]', '[313, 313, w^2 + w - 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14]', '[1933, 1933, 4*w^2 - 9*w - 26]', '[1935, 645, -2*w^2 - w - 5]', '[1935, 645, -4*w^2 + 5*w + 6]', '[1935, 645, -4*w^2 + 2*w + 27]', '[1935, 645, 5*w^2 - 11*w - 43]', '[1935, 645, 5*w^2 - 11*w - 28]', '[1935, 645, w^2 - 8*w + 12]', '[1935, 1935, -5*w^2 + 11*w + 3]', '[1935, 1935, -w^2 + 3*w + 18]', '[1935, 1935, 3*w^2 - 8*w - 21]', '[1937, 1937, w^2 - 8*w - 10]', '[1941, 1941, -3*w^2 - 14*w - 14]', '[1941, 1941, -4*w^2 - 9*w + 3]', '[1944, 18, -6*w^2 + 12*w + 36]', '[1944, 18, 6*w^2 - 6*w - 48]', '[1944, 54, -10*w^2 + 16*w + 74]', '[1944, 54, -6*w^2 + 6*w + 36]', '[1944, 162, 2*w^2 - 4*w - 24]', '[1944, 486, -4*w^2 + 6*w + 18]', '[1945, 1945, -7*w^2 + 10*w + 58]', '[1949, 1949, 9*w^2 - 16*w - 53]', '[1951, 1951, w^2 - 8*w - 17]', '[1955, 1955, -5*w^2 + 8*w + 44]', '[1957, 1957, -17*w^2 + 22*w + 131]', '[1957, 1957, -2*w^2 - w + 17]', '[1959, 1959, -2*w^2 - 9*w - 13]', '[1959, 1959, -4*w^2 - 3*w + 6]', '[1963, 1963, -7*w^2 + 5*w + 40]', '[1965, 1965, 2*w^2 - 9*w - 30]', '[1965, 1965, 3*w^2 - w - 25]', '[1973, 1973, 6*w^2 - 15*w - 11]', '[1975, 395, 14*w^2 - 46*w - 19]', '[1976, 494, 6*w^2 - 6*w - 46]', '[1976, 494, 2*w^2 + 6*w - 4]', '[1977, 1977, 5*w^2 - 12*w - 3]', '[1977, 1977, 3*w^2 - 8*w - 23]', '[1977, 1977, -6*w^2 + 11*w + 44]', '[1977, 1977, -w^2 - 3*w + 12]', '[1977, 1977, 4*w^2 - 6*w - 7]', '[1977, 1977, 3*w^2 - w - 27]', '[1979, 1979, 4*w^2 - 8*w - 1]', '[1979, 1979, 6*w^2 - 11*w - 43]', '[1979, 1979, 3*w^2 - 8*w - 22]', '[1983, 1983, -3*w^2 - 10*w]', '[1983, 1983, -3*w^2 - 13*w - 10]', '[1984, 124, 8*w^2 - 12*w - 52]', '[1985, 1985, -10*w^2 + 16*w + 73]', '[1985, 1985, -12*w^2 + 14*w + 85]', '[1985, 1985, -2*w^2 + 9*w + 25]', '[1987, 1987, 4*w^2 - 5*w - 19]', '[1987, 1987, 2*w^2 + 2*w - 29]', '[1987, 1987, -14*w^2 + 21*w + 97]', '[1989, 663, 2*w^2 - 8*w - 13]', '[1989, 663, w^2 - 8*w + 3]', '[1989, 1989, 5*w^2 - 17*w - 12]', '[1991, 1991, -5*w^2 + 4*w + 1]', '[1992, 498, 6*w^2 + 10*w - 2]', '[1992, 498, 4*w^2 + 8*w + 6]', '[1997, 1997, -w^2 + 2*w - 8]', '[1997, 1997, 8*w^2 - 14*w - 47]', '[1997, 1997, 5*w^2 - 19*w - 5]', '[1999, 1999, -12*w^2 + 15*w + 89]', '[1999, 1999, -3*w^2 + w + 26]', '[1999, 1999, 6*w^2 - 8*w - 37]', '[2005, 2005, -12*w^2 + 11*w + 76]', '[2005, 2005, -3*w^2 + 9*w + 29]', '[2005, 2005, -14*w^2 + 23*w + 110]', '[2007, 669, w^2 - 2*w - 18]', '[2007, 669, -2*w^2 + 11*w - 11]', '[2007, 2007, -4*w^2 + 7*w + 15]', '[2008, 502, -10*w^2 + 12*w + 74]', '[2011, 2011, 6*w^2 - 13*w - 32]', '[2011, 2011, 4*w^2 - 4*w - 19]', '[2011, 2011, w^2 + 7*w - 2]', '[2015, 2015, 4*w^2 - 2*w - 17]', '[2017, 2017, w^2 + 3*w - 17]', '[2019, 2019, -w^2 - 9*w - 17]', '[2019, 2019, -4*w^2 - 2*w + 9]', '[2021, 2021, -6*w^2 + 20*w + 13]', '[2021, 2021, 5*w^2 - 10*w - 34]', '[2021, 2021, 3*w^2 - 3*w - 32]', '[2024, 506, 4*w^2 - 16*w - 10]', '[2025, 45, -6*w^2 + 9*w + 36]', '[2025, 45, -11*w^2 + 14*w + 76]', '[2025, 45, 6*w^2 - 9*w - 51]', '[2025, 135, w^2 + w - 21]', '[2025, 405, 4*w^2 - w - 24]', '[2027, 2027, -3*w^2 + 8*w - 2]', '[2027, 2027, -5*w^2 + 4*w + 50]', '[2027, 2027, 3*w^2 - 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34*w - 149]', '[9909, 3303, 16*w^2 - 17*w - 111]', '[9909, 9909, -10*w^2 + 19*w + 78]', '[9909, 9909, -7*w^2 - 3*w + 18]', '[9909, 9909, 11*w^2 - 20*w - 75]', '[9915, 9915, 3*w^2 + 4*w - 20]', '[9915, 9915, -3*w^2 - 19*w - 30]', '[9917, 9917, -7*w^2 + 16*w + 43]', '[9920, 620, -12*w + 4]', '[9923, 9923, -16*w^2 + 26*w + 115]', '[9925, 1985, -17*w^2 + 53*w + 32]', '[9925, 1985, 3*w^2 - 17*w + 2]', '[9925, 1985, -7*w^2 + 33*w + 17]', '[9927, 3309, -5*w^2 - 14*w - 15]', '[9927, 3309, -w^2 + 13*w - 4]', '[9927, 9927, -7*w^2 - 5*w + 6]', '[9929, 9929, 3*w^2 + 6*w - 55]', '[9931, 9931, -8*w^2 + 7*w + 79]', '[9935, 9935, 9*w - 13]', '[9935, 9935, -15*w^2 + 26*w + 118]', '[9935, 9935, -27*w^2 + 37*w + 209]', '[9937, 9937, -w^2 + 5*w - 19]', '[9937, 9937, 19*w^2 - 22*w - 160]', '[9939, 9939, 3*w^2 - 16*w - 16]', '[9939, 9939, -8*w^2 + 35*w + 18]', '[9939, 9939, -2*w^2 + 21*w + 5]', '[9939, 9939, 5*w^2 - 12*w + 3]', '[9939, 9939, 4*w^2 - 21*w - 3]', '[9939, 9939, 6*w^2 - 8*w - 17]', '[9941, 9941, 3*w^2 - 12*w - 44]', '[9944, 2486, -8*w^2 + 14*w + 38]', '[9944, 2486, -8*w^2 + 16*w + 14]', '[9944, 2486, -2*w^2 - 8*w + 10]', '[9945, 3315, 4*w^2 - 8*w - 45]', '[9945, 3315, w^2 + 8*w - 35]', '[9945, 9945, -7*w^2 + 10*w + 33]', '[9949, 9949, w^2 + 7*w - 29]', '[9953, 9953, 9*w^2 - 18*w - 58]', '[9953, 9953, 2*w^2 - 19*w - 13]', '[9953, 9953, 6*w^2 - 3*w - 46]', '[9955, 9955, -4*w^2 - 12*w + 5]', '[9957, 9957, 4*w^2 - 3*w - 48]', '[9957, 9957, -12*w^2 + 17*w + 77]', '[9959, 9959, 2*w^2 + 5*w - 19]', '[9960, 2490, 10*w^2 + 14*w - 18]', '[9960, 2490, -4*w - 22]', '[9967, 9967, -25*w^2 + 35*w + 178]', '[9967, 9967, 7*w^2 - 13*w - 25]', '[9967, 9967, 6*w^2 - 71]', '[9969, 9969, -7*w^2 + 9*w + 34]', '[9969, 9969, -w^2 + 4*w - 18]', '[9977, 9977, 9*w^2 - 8*w - 67]', '[9979, 9979, 6*w^2 - 2*w - 19]', '[9981, 3327, -2*w^2 + 13*w + 21]', '[9981, 3327, -10*w^2 + 25*w + 26]', '[9981, 9981, 11*w - 6]', '[9983, 9983, 16*w^2 - 19*w - 124]', '[9985, 9985, -9*w^2 + 7*w + 62]', '[9985, 9985, 4*w^2 - 20*w - 1]', '[9985, 9985, w - 22]', '[9987, 9987, 2*w^2 + 21*w + 12]', '[9987, 9987, 6*w^2 + 19*w + 1]', '[9991, 9991, 2*w^2 - 13*w - 26]', '[9992, 2498, 4*w^2 - 14*w - 40]', '[9995, 9995, 6*w^2 - w - 17]', '[9995, 9995, 23*w^2 - 34*w - 179]', '[9995, 9995, -2*w^2 - 14*w + 1]', '[9999, 3333, -5*w^2 - 17*w]', '[9999, 3333, -5*w^2 - 22*w - 17]', '[9999, 9999, -w^2 - 20*w - 12]'], 'label': '3.3.1425.1', 'narrow_class_no': 1, 'primes': ['[3, 3, w]', '[3, 3, w + 1]', '[5, 5, w^2 - w - 7]', '[8, 2, 2]', '[11, 11, w - 1]', '[13, 13, w^2 - 2*w - 8]', '[17, 17, w^2 - 2*w - 7]', '[19, 19, -w^2 + 2*w + 4]', '[19, 19, -2*w^2 + 3*w + 16]', '[23, 23, -w^2 + 2*w + 2]', '[31, 31, 2*w^2 - 3*w - 13]', '[37, 37, w^2 - w - 10]', '[43, 43, 3*w^2 - 5*w - 19]', '[43, 43, w^2 - w - 4]', '[43, 43, 2*w^2 - 2*w - 17]', '[47, 47, w^2 - 2]', '[67, 67, w^2 - 3*w - 5]', '[79, 79, -w^2 + 3*w - 1]', '[83, 83, w^2 + w - 4]', '[97, 97, w^2 - 11]', '[101, 101, -3*w^2 + 4*w + 20]', '[103, 103, -6*w^2 + 9*w + 44]', '[109, 109, 2*w - 5]', '[113, 113, -w - 5]', '[113, 113, 2*w^2 - 4*w - 13]', '[113, 113, w^2 - 4*w - 4]', '[121, 11, w^2 - 8]', '[127, 127, 3*w^2 - 6*w - 17]', '[131, 131, w^2 - 2*w - 11]', '[137, 137, 5*w^2 - 6*w - 40]', '[149, 149, -5*w^2 + 7*w + 35]', '[151, 151, w^2 + w - 5]', '[169, 13, -2*w^2 + 7*w + 5]', '[181, 181, -5*w - 1]', '[191, 191, -3*w^2 + 3*w + 25]', '[193, 193, 2*w^2 - 4*w - 7]', '[197, 197, -2*w^2 + w + 13]', '[211, 211, 2*w^2 - w - 20]', '[223, 223, 3*w^2 - 9*w - 2]', '[229, 229, 2*w^2 - 4*w - 19]', '[229, 229, 3*w - 2]', '[229, 229, 2*w^2 - 7]', '[233, 233, -w^2 + 2*w - 2]', '[239, 239, -w^2 + w - 2]', '[241, 241, -2*w - 7]', '[251, 251, -5*w^2 + 6*w + 37]', '[263, 263, 7*w^2 - 11*w - 49]', '[269, 269, 3*w^2 - 6*w - 14]', '[269, 269, w^2 - 4*w - 7]', '[269, 269, w^2 + 2*w - 4]', '[281, 281, w^2 - 4*w - 10]', '[281, 281, 7*w^2 - 11*w - 47]', '[281, 281, w^2 + w - 17]', '[283, 283, 2*w^2 - 5*w - 11]', '[283, 283, 2*w^2 - w - 14]', '[283, 283, 2*w^2 - 3*w - 4]', '[289, 17, w^2 - 5*w - 5]', '[293, 293, 3*w^2 - 7*w - 5]', '[293, 293, 3*w^2 - 4*w - 26]', '[293, 293, 2*w^2 - w - 8]', '[307, 307, -5*w^2 + 7*w + 34]', '[311, 311, -7*w^2 + 9*w + 56]', '[313, 313, -3*w^2 + 3*w + 28]', '[313, 313, w^2 + w - 14]', '[313, 313, 2*w^2 - 3*w - 19]', '[331, 331, w^2 - w - 13]', '[337, 337, 3*w^2 - 2*w - 16]', '[343, 7, -7]', '[347, 347, -5*w^2 + 8*w + 32]', '[353, 353, 3*w - 4]', '[359, 359, 4*w^2 - 7*w - 28]', '[367, 367, w^2 + w - 8]', '[367, 367, 4*w^2 - 5*w - 34]', '[367, 367, -3*w^2 + 2*w + 31]', '[373, 373, 4*w^2 - 8*w - 23]', '[379, 379, -3*w^2 + 5*w + 16]', '[389, 389, 3*w - 7]', '[397, 397, 3*w^2 - 6*w - 13]', '[397, 397, w^2 - 2*w - 13]', '[397, 397, 2*w^2 - w - 4]', '[401, 401, w^2 - 5*w - 13]', '[401, 401, 2*w^2 - 2*w - 5]', '[401, 401, 3*w^2 - 3*w - 17]', '[409, 409, -2*w^2 + w + 17]', '[419, 419, 2*w^2 - w - 5]', '[421, 421, -7*w^2 + 11*w + 50]', '[433, 433, 3*w^2 - 6*w - 23]', '[439, 439, 2*w^2 - 5*w - 14]', '[443, 443, 2*w^2 - 7*w - 7]', '[461, 461, w^2 + w - 10]', '[463, 463, -9*w^2 + 12*w + 64]', '[463, 463, -w^2 + 3*w - 4]', '[463, 463, 7*w^2 - 10*w - 55]', '[467, 467, -3*w^2 + 6*w + 22]', '[479, 479, -7*w^2 + 11*w + 52]', '[487, 487, -6*w^2 + 10*w + 41]', '[491, 491, w^2 - 3*w - 14]', '[503, 503, -w^2 + 6*w - 1]', '[523, 523, 8*w^2 - 12*w - 55]', '[529, 23, 4*w^2 - 5*w - 25]', '[541, 541, w^2 - 5*w - 8]', '[541, 541, -6*w^2 + 7*w + 44]', '[541, 541, 4*w^2 - 10*w - 7]', '[547, 547, w^2 - 8*w - 5]', '[557, 557, -5*w^2 + 16*w + 10]', '[577, 577, -w^2 - 4]', '[577, 577, 4*w^2 - 9*w - 20]', '[577, 577, w^2 - 5*w - 11]', '[587, 587, 8*w^2 - 10*w - 65]', '[593, 593, -4*w^2 + 4*w + 31]', '[599, 599, w^2 - 2*w - 14]', '[599, 599, -4*w - 11]', '[599, 599, w^2 - 5*w - 10]', '[601, 601, 2*w^2 - 7*w - 8]', '[607, 607, -6*w^2 + 7*w + 47]', '[617, 617, 3*w^2 - 3*w - 29]', '[631, 631, -9*w^2 + 27*w + 11]', '[631, 631, 2*w^2 - 9*w - 1]', '[631, 631, -2*w^2 + 4*w - 1]', '[641, 641, 8*w^2 - 10*w - 61]', '[641, 641, -8*w^2 + 11*w + 56]', '[641, 641, w^2 + 2*w - 7]', '[647, 647, w^2 - 5*w - 17]', '[653, 653, 2*w^2 - 6*w - 19]', '[659, 659, 4*w^2 - 5*w - 35]', '[659, 659, -w^2 + 6*w - 4]', '[659, 659, -5*w^2 + 13*w + 8]', '[661, 661, -3*w - 10]', '[673, 673, 3*w^2 - 7*w - 26]', '[691, 691, -6*w^2 + 8*w + 49]', '[691, 691, -5*w^2 + 9*w + 28]', '[691, 691, 3*w^2 - 7*w - 17]', '[701, 701, -8*w^2 + 13*w + 55]', '[719, 719, -10*w^2 + 14*w + 71]', '[751, 751, 3*w^2 - 5*w - 13]', '[761, 761, 5*w^2 - 7*w - 32]', '[787, 787, 5*w - 2]', '[809, 809, 4*w^2 - 6*w - 23]', '[811, 811, 5*w^2 - 10*w - 29]', '[821, 821, -9*w^2 + 14*w + 67]', '[827, 827, 5*w^2 - 9*w - 34]', '[827, 827, 2*w^2 - 6*w - 13]', '[827, 827, -2*w^2 + w - 2]', '[829, 829, w^2 - 6*w - 8]', '[877, 877, 3*w^2 - 10]', '[881, 881, 3*w^2 - 4*w - 5]', '[887, 887, 3*w^2 - 3*w - 14]', '[887, 887, 2*w^2 - 9*w - 7]', '[887, 887, -3*w^2 + 2*w + 25]', '[907, 907, -6*w^2 + 9*w + 49]', '[929, 929, 2*w^2 - 7*w - 10]', '[941, 941, -4*w^2 + 6*w + 35]', '[941, 941, 4*w - 7]', '[941, 941, 6*w - 1]', '[947, 947, w^2 - 7*w - 7]', '[961, 31, 3*w^2 - 2*w - 4]', '[977, 977, w^2 + 2*w - 10]', '[977, 977, w^2 + 4*w - 4]', '[977, 977, w^2 - 17]', '[983, 983, 4*w^2 - 5*w - 23]', '[983, 983, -3*w - 11]', '[983, 983, 2*w^2 + 3*w - 7]', '[991, 991, -7*w^2 + 8*w + 56]', '[997, 997, 3*w^2 - 5*w - 10]', '[997, 997, 3*w^2 - 12*w - 1]', '[997, 997, w^2 + w - 19]']}
42. label: 3.3.1436.1
    {'degree': 3, 'discriminant': 1436, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 2]', '[2, 2, w + 1]', '[3, 3, w^2 - w - 9]', '[4, 2, w^2 - w - 10]', '[4, 2, w^2 - 2*w - 7]', '[4, 4, w^2 - 2*w - 4]', '[6, 6, -w^2 + 2*w + 6]', '[6, 6, w + 3]', '[8, 2, 2]', '[8, 4, -w^2 + w + 8]', '[8, 4, -w^2 + 2*w + 5]', '[8, 8, -w + 4]', '[9, 3, -w^2 + 3*w + 5]', '[9, 9, -2*w - 3]', '[11, 11, -w^2 + w + 11]', '[12, 6, w^2 - 3*w - 6]', '[12, 6, -3*w^2 + 4*w + 27]', '[12, 12, w]', '[13, 13, 2*w^2 - 4*w - 13]', '[16, 4, -2*w - 4]', '[16, 4, -3*w^2 + 4*w + 29]', '[16, 4, 2*w + 2]', '[16, 8, -w^2 + 3*w + 4]', '[16, 16, w^2 - 2*w - 8]', '[18, 6, -w^2 + 2]', '[18, 6, 2*w^2 - 3*w - 19]', '[18, 18, 2*w^2 - 3*w - 18]', '[18, 18, w - 3]', '[22, 22, w^2 - 2*w - 10]', '[22, 22, w - 1]', '[23, 23, -w^2 + w + 7]', '[24, 6, 2*w^2 - 2*w - 18]', '[24, 12, w^2 + w]', '[24, 12, w^2 - 2*w - 9]', '[24, 24, -w^2 - 2*w]', '[26, 26, -2*w^2 + 5*w + 11]', '[26, 26, -w + 2]', '[27, 3, 3]', '[27, 27, -w^2 - w + 3]', '[29, 29, -w^2 - w + 1]', '[32, 4, 2*w^2 - 2*w - 20]', '[32, 4, 2*w^2 - 4*w - 14]', '[32, 8, 2*w^2 - 4*w - 8]', '[32, 8, w^2 - 7]', '[32, 16, -w^2 + w + 4]', '[32, 32, w + 4]', '[33, 33, -2*w^2 + 4*w + 9]', '[36, 6, -w^2 + 5]', '[36, 6, w^2 - 3*w - 2]', '[36, 12, -2*w^2 + 3*w + 16]', '[36, 18, -w^2 + w + 6]', '[36, 18, w^2 - 2*w - 3]', '[36, 36, -w^2 + 2*w + 12]', '[39, 39, -w^2 - 3*w - 3]', '[41, 41, -2*w^2 + 2*w + 19]', '[41, 41, w^2 - 3*w - 7]', '[41, 41, w^2 - w - 5]', '[44, 22, -w^2 - w + 2]', '[44, 22, w^2 - 1]', '[44, 44, 2*w^2 - 5*w - 8]', '[46, 46, -3*w - 5]', '[46, 46, w^2 + 2*w - 2]', '[47, 47, 3*w^2 - 7*w - 17]', '[48, 12, -2*w^2 + 4*w + 12]', '[48, 12, -w^2 + 3]', '[48, 12, 2*w + 6]', '[48, 24, -w^2 + w + 12]', '[48, 48, -4*w^2 + 5*w + 36]', '[52, 26, -5*w^2 + 6*w + 47]', '[52, 26, -w^2 + w + 2]', '[52, 52, w^2 - 4]', '[53, 53, -2*w - 1]', '[54, 6, -3*w - 6]', '[54, 6, 3*w + 3]', '[54, 54, -w^2 + 4*w + 6]', '[54, 54, -4*w^2 + 5*w + 39]', '[58, 58, -3*w^2 + 4*w + 26]', '[58, 58, -w + 5]', '[61, 61, -2*w + 7]', '[64, 4, 4]', '[64, 8, -2*w^2 + 2*w + 16]', '[64, 8, w^2 + 4*w + 5]', '[64, 8, -2*w^2 + 4*w + 10]', '[64, 16, -2*w + 8]', '[64, 32, -5*w^2 + 7*w + 44]', '[64, 64, 3*w^2 - 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8*w - 73]', '[1943, 1943, -5*w^2 + 5*w + 13]', '[1944, 18, -6*w^2 + 18*w + 30]', '[1944, 36, 3*w^2 - 9*w - 24]', '[1944, 36, -15*w^2 + 18*w + 147]', '[1944, 54, -12*w - 18]', '[1944, 72, 3*w^2 - 24]', '[1944, 108, 3*w^2 + 9*w]', '[1944, 108, -15*w^2 + 18*w + 135]', '[1944, 216, 6*w^2 - 15*w - 36]', '[1944, 486, -14*w^2 + 18*w + 126]', '[1944, 972, -3*w^2 + 2*w + 39]', '[1944, 972, 3*w^2 - 13*w - 24]', '[1944, 1944, w^2 + 6*w]', '[1948, 974, w^2 - 4*w + 7]', '[1948, 974, -7*w^2 + 9*w + 58]', '[1948, 1948, 4*w^2 - 19*w - 32]', '[1949, 1949, -6*w^2 + 16*w + 35]', '[1951, 1951, -4*w^2 + 10*w + 29]', '[1951, 1951, 7*w^2 - 19*w - 25]', '[1951, 1951, 7*w^2 - 17*w - 41]', '[1952, 244, 22*w^2 - 28*w - 202]', '[1952, 244, -2*w^2 + 10*w + 20]', '[1952, 488, 7*w^2 - 8*w - 73]', '[1952, 488, -2*w^2 - 4*w + 8]', '[1952, 976, -9*w^2 + 21*w + 52]', '[1952, 1952, -2*w^2 - w + 28]', '[1954, 1954, -4*w^2 + w + 31]', '[1954, 1954, -9*w^2 + 18*w + 62]', '[1956, 978, -w^2 - 13*w - 18]', '[1956, 978, -w^2 + 16*w + 21]', '[1956, 978, -5*w^2 + 3*w + 42]', '[1956, 978, -3*w^2 + 8*w + 27]', '[1956, 978, -9*w^2 + 11*w + 78]', '[1956, 978, -w^2 + 21]', '[1956, 1956, -10*w^2 + 27*w + 48]', '[1956, 1956, -6*w^2 - 7*w]', '[1956, 1956, 2*w^2 - 15*w - 24]', '[1958, 1958, 2*w^2 - 13*w - 22]', '[1958, 1958, -12*w^2 + 15*w + 107]', '[1962, 654, -4*w^2 - 3*w + 14]', '[1962, 654, 2*w^2 + 3*w + 5]', '[1962, 1962, 22*w^2 - 27*w - 207]', '[1962, 1962, 3*w^2 - 4*w - 6]', '[1963, 1963, w^2 + w + 7]', '[1964, 982, w^2 + 3*w - 22]', '[1964, 982, 11*w^2 - 26*w - 61]', '[1964, 1964, 17*w^2 - 38*w - 76]', '[1966, 1966, -7*w^2 + 14*w + 50]', '[1966, 1966, -3*w^2 + 2]', '[1966, 1966, -6*w^2 - 3*w + 7]', '[1966, 1966, -4*w^2 - w + 25]', '[1966, 1966, -16*w^2 + 19*w + 149]', '[1966, 1966, 4*w^2 + 11*w + 10]', '[1968, 492, -10*w - 18]', '[1968, 492, -8*w^2 + 6*w + 66]', '[1968, 492, -w^2 + 12*w + 15]', '[1968, 492, -4*w^2 + 10*w + 12]', '[1968, 492, -3*w^2 + 8*w + 33]', '[1968, 492, -8*w^2 + 22*w + 36]', '[1968, 492, -6*w^2 - 16*w - 12]', '[1968, 492, -3*w^2 - 4*w - 3]', '[1968, 492, 4*w^2 + 6*w - 6]', '[1968, 984, 5*w^2 - 7*w - 36]', '[1968, 984, 5*w^2 - 11*w - 36]', '[1968, 984, 7*w^2 + 21*w + 12]', '[1968, 1968, 5*w^2 - 4*w - 48]', '[1968, 1968, -4*w^2 + 7*w + 12]', '[1968, 1968, 7*w^2 - 10*w - 72]', '[1969, 1969, 17*w^2 - 37*w - 101]', '[1969, 1969, -4*w^2 + 2*w + 35]', '[1969, 1969, -10*w^2 + 22*w + 43]', '[1973, 1973, -3*w^2 + 11*w + 23]', '[1977, 1977, 2*w^2 + 6*w - 3]', '[1979, 1979, -13*w^2 + 15*w + 121]', '[1982, 1982, 5*w^2 - 4*w - 50]', '[1982, 1982, 4*w^2 - 15*w - 61]', '[1983, 1983, -10*w - 27]', '[1983, 1983, -4*w^2 - 6*w - 3]', '[1983, 1983, -13*w^2 + 19*w + 111]', '[1986, 1986, 5*w - 21]', '[1986, 1986, 13*w^2 - 18*w - 114]', '[1987, 1987, 20*w^2 - 26*w - 191]', '[1994, 1994, -3*w^2 - 14*w - 10]', '[1994, 1994, 17*w + 23]', '[1997, 1997, 2*w^2 - 14*w - 23]', '[1997, 1997, -3*w^2 + 11*w - 1]', '[1997, 1997, -11*w^2 + 23*w + 71]', '[1999, 1999, 16*w^2 - 22*w - 149]', '[2000, 20, 10*w + 20]', '[2000, 20, 15*w^2 - 20*w - 145]', '[2000, 20, -10*w - 10]', '[2000, 40, 5*w^2 - 15*w - 20]', '[2000, 80, -5*w^2 + 10*w + 40]', '[2001, 2001, -5*w^2 + 15*w + 21]', '[2004, 1002, 5*w^2 + 8*w - 9]', '[2004, 1002, -w^2 + 3*w - 6]', '[2004, 1002, 5*w^2 - 11*w - 18]', '[2004, 1002, 23*w^2 - 28*w - 219]', '[2004, 1002, 5*w^2 - 7*w - 54]', '[2004, 1002, 5*w^2 - 8*w - 33]', '[2004, 2004, 14*w^2 - 27*w - 96]', '[2004, 2004, 6*w^2 - 7*w - 48]', '[2004, 2004, -4*w^2 + 5*w + 24]', '[2011, 2011, 5*w^2 - 9*w - 17]', '[2012, 1006, 5*w^2 - 4*w - 49]', '[2012, 1006, 15*w^2 - 21*w - 142]', '[2012, 2012, -4*w^2 - w + 8]', '[2013, 2013, -2*w^2 + 8*w + 27]', '[2018, 2018, 11*w^2 - 10*w - 94]', '[2018, 2018, 4*w^2 - 9*w - 43]', '[2019, 2019, 6*w^2 - 16*w - 21]', '[2022, 2022, -10*w^2 + 13*w + 99]', '[2022, 2022, -2*w^2 + 13*w + 18]', '[2024, 506, -12*w^2 + 16*w + 106]', '[2024, 1012, -w^2 - 2*w + 25]', '[2024, 1012, 5*w^2 - 17*w - 32]', '[2024, 2024, 7*w + 4]', '[2026, 2026, 4*w^2 - 11*w - 50]', '[2026, 2026, 2*w^2 + 3*w - 11]', '[2028, 78, -11*w^2 + 17*w + 90]', '[2028, 78, 5*w^2 - 16*w - 9]', '[2028, 156, 14*w^2 - 37*w - 72]', '[2028, 1014, 5*w^2 - 33]', '[2028, 1014, 7*w^2 - 13*w - 54]', '[2028, 2028, 10*w^2 - 11*w - 96]', '[2029, 2029, -w^2 - 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5*w + 42]', '[9883, 9883, -6*w^2 - 2*w + 23]', '[9883, 9883, -4*w^2 + 20*w + 37]', '[9883, 9883, -18*w^2 + 18*w + 185]', '[9886, 9886, -21*w^2 + 26*w + 206]', '[9886, 9886, -14*w^2 + 23*w + 107]', '[9888, 1236, 6*w^2 + 4*w - 18]', '[9888, 1236, 2*w^2 - 18*w - 60]', '[9888, 1236, 10*w^2 + 4*w - 54]', '[9888, 1236, 10*w^2 - 18*w - 84]', '[9888, 1236, 2*w^2 - 14*w - 36]', '[9888, 1236, -2*w^2 + 16*w + 18]', '[9888, 2472, 10*w^2 - 16*w - 72]', '[9888, 2472, -12*w^2 + 34*w + 48]', '[9888, 2472, 18*w^2 - 20*w - 168]', '[9888, 2472, -5*w^2 + 3]', '[9888, 2472, w^2 - 16*w - 39]', '[9888, 2472, 13*w^2 - 40*w - 75]', '[9888, 4944, 11*w^2 - 21*w - 84]', '[9888, 4944, 13*w^2 - 17*w - 132]', '[9888, 4944, 47*w^2 - 63*w - 444]', '[9888, 9888, -6*w^2 - 5*w + 12]', '[9888, 9888, 15*w^2 - 16*w - 144]', '[9888, 9888, 38*w^2 - 47*w - 348]', '[9892, 4946, 7*w^2 - 6*w - 25]', '[9892, 4946, -w^2 - 7*w - 22]', '[9892, 9892, 17*w^2 - 38*w - 92]', '[9893, 9893, 5*w^2 - 11*w - 11]', '[9896, 2474, 12*w^2 - 12*w - 98]', '[9896, 2474, -6*w^2 - 18*w - 2]', '[9896, 2474, 6*w^2 - 14*w - 62]', '[9896, 4948, w^2 - 2*w - 29]', '[9896, 4948, w^2 + 22*w + 31]', '[9896, 4948, 15*w^2 - 13*w - 128]', '[9896, 4948, 25*w^2 - 37*w - 248]', '[9896, 4948, -9*w^2 + 23*w + 56]', '[9896, 4948, -w^2 + 10*w + 1]', '[9896, 9896, 30*w^2 - 41*w - 268]', '[9896, 9896, 19*w^2 - 30*w - 160]', '[9896, 9896, -3*w^2 - 2*w + 32]', '[9897, 9897, -5*w^2 + 19*w + 39]', '[9901, 9901, 8*w^2 - 4*w - 53]', '[9903, 9903, -29*w^2 + 33*w + 285]', '[9906, 9906, -23*w^2 + 54*w + 114]', '[9906, 9906, 4*w^2 + 7*w + 9]', '[9907, 9907, -8*w^2 - 4*w + 11]', '[9908, 4954, 3*w^2 - 20*w - 35]', '[9908, 4954, 3*w^2 + 11*w - 2]', '[9908, 9908, 16*w^2 - 39*w - 88]', '[9909, 1101, 6*w^2 - 24*w + 3]', '[9909, 9909, -9*w^2 + 17*w + 75]', '[9913, 9913, 2*w^2 - 2*w - 37]', '[9914, 9914, 10*w^2 + w - 17]', '[9914, 9914, -6*w^2 - 15*w - 14]', '[9917, 9917, 32*w^2 - 38*w - 295]', '[9917, 9917, -21*w^2 + 31*w + 203]', '[9917, 9917, 22*w^2 - 28*w - 197]', '[9922, 902, 6*w^2 + 17*w + 17]', '[9922, 902, -12*w^2 + 21*w + 98]', '[9922, 902, -14*w^2 + 19*w + 118]', '[9922, 902, -9*w^2 - 20*w + 2]', '[9922, 902, -10*w^2 + w + 67]', '[9922, 902, 2*w^2 - 9*w + 13]', '[9922, 9922, -10*w^2 + 19*w + 79]', '[9922, 9922, -12*w^2 + 23*w + 77]', '[9922, 9922, 8*w^2 - 25*w - 38]', '[9922, 9922, -15*w^2 + 16*w + 142]', '[9922, 9922, -9*w^2 + 10*w + 98]', '[9922, 9922, 4*w^2 + 27*w + 35]', '[9923, 9923, -18*w^2 + 50*w + 65]', '[9929, 9929, -9*w^2 + 7*w + 95]', '[9932, 4966, -5*w^2 - 30*w - 37]', '[9932, 4966, -7*w^2 + 23*w + 34]', '[9932, 9932, 5*w^2 - 14*w - 44]', '[9934, 9934, -4*w^2 + 7*w + 5]', '[9934, 9934, 7*w^2 - 6*w - 46]', '[9936, 276, -18*w - 30]', '[9936, 276, -3*w^2 + 24*w + 33]', '[9936, 276, 6*w^2 + 12*w - 12]', '[9936, 552, 9*w^2 - 21*w - 60]', '[9936, 1104, 6*w^2 - 3*w - 60]', '[9936, 2484, 4*w^2 - 18*w - 36]', '[9936, 2484, -11*w^2 + 12*w + 117]', '[9936, 2484, -12*w^2 + 38*w + 66]', '[9936, 4968, 3*w^2 + 7*w - 12]', '[9936, 9936, 17*w^2 - 40*w - 96]', '[9941, 9941, 15*w^2 - 23*w - 143]', '[9942, 9942, 15*w^2 - 34*w - 90]', '[9942, 9942, 4*w^2 + 5*w - 21]', '[9943, 9943, -18*w^2 + 44*w + 97]', '[9943, 9943, -8*w^2 + 6*w + 77]', '[9943, 9943, 12*w^2 - 28*w - 49]', '[9944, 2486, 24*w^2 - 28*w - 238]', '[9944, 4972, 19*w^2 - 34*w - 139]', '[9944, 4972, 69*w^2 - 89*w - 640]', '[9944, 9944, -6*w^2 + 17*w + 44]', '[9947, 203, 7*w^2 + 7*w - 7]', '[9957, 9957, -11*w^2 + 31*w + 63]', '[9958, 9958, 5*w^2 - 14*w - 70]', '[9958, 9958, 6*w^2 - 3*w - 31]', '[9959, 9959, 6*w^2 - 4*w - 31]', '[9959, 9959, -20*w^2 + 22*w + 197]', '[9959, 9959, -5*w^2 - 13*w + 5]', '[9963, 369, -3*w^2 + 9*w - 3]', '[9963, 369, -24*w^2 + 54*w + 111]', '[9963, 369, -12*w^2 + 36*w + 69]', '[9963, 1107, 9*w^2 + 3*w - 9]', '[9963, 1107, 6*w^2 - 27]', '[9963, 1107, -3*w^2 - 27*w - 27]', '[9963, 9963, -9*w^2 + 19*w + 33]', '[9963, 9963, 8*w^2 - 6*w - 81]', '[9963, 9963, 12*w^2 - 16*w - 123]', '[9964, 4982, -19*w^2 + 41*w + 118]', '[9964, 4982, -5*w^2 + 41]', '[9964, 9964, -10*w^2 + 7*w + 112]', '[9966, 9966, w^2 - 4*w - 30]', '[9966, 9966, 8*w^2 - 13*w - 39]', '[9969, 9969, 7*w^2 - 7*w - 81]', '[9972, 1662, -7*w^2 + 24*w + 47]', '[9972, 1662, -w^2 - 9*w + 2]', '[9972, 3324, -26*w^2 + 63*w + 136]', '[9972, 4986, -17*w^2 + 45*w + 90]', '[9972, 4986, 27*w^2 - 38*w - 237]', '[9972, 9972, 3*w^2 - 14*w - 12]', '[9973, 9973, 2*w^2 - 4*w - 37]', '[9974, 9974, -16*w^2 + 19*w + 139]', '[9974, 9974, 2*w^2 - 25*w - 38]', '[9977, 9977, 2*w^2 - 22*w - 35]', '[9977, 9977, -11*w^2 + 23*w + 43]', '[9977, 9977, -6*w^2 + 18*w + 43]', '[9984, 312, -4*w^2 + 16*w + 36]', '[9984, 312, -4*w^2 - 4*w + 24]', '[9984, 624, -16*w^2 + 36*w + 96]', '[9984, 624, 17*w^2 - 20*w - 171]', '[9984, 624, 10*w^2 - 32*w - 54]', '[9984, 1248, -6*w^2 + 2*w + 72]', '[9984, 2496, -26*w^2 + 36*w + 240]', '[9984, 4992, 9*w^2 - 13*w - 36]', '[9984, 9984, -2*w^2 - 3*w - 12]', '[9986, 9986, -10*w^2 + 27*w + 34]', '[9986, 9986, 6*w^2 + w - 25]', '[9991, 9991, 36*w^2 - 44*w - 337]', '[9991, 9991, -19*w^2 + 27*w + 163]', '[9991, 9991, -12*w - 7]', '[9992, 2498, 6*w^2 + 2*w - 38]', '[9992, 4996, 3*w^2 - 14*w - 35]', '[9992, 4996, 11*w^2 - 25*w - 128]', '[9992, 9992, 11*w^2 - 10*w - 112]', '[9993, 9993, -8*w^2 + 26*w + 51]'], 'label': '3.3.1436.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w - 2]', '[2, 2, w + 1]', '[3, 3, w^2 - w - 9]', '[9, 3, -w^2 + 3*w + 5]', '[11, 11, -w^2 + w + 11]', '[13, 13, 2*w^2 - 4*w - 13]', '[23, 23, -w^2 + w + 7]', '[29, 29, -w^2 - w + 1]', '[41, 41, -2*w^2 + 2*w + 19]', '[41, 41, w^2 - 3*w - 7]', '[41, 41, w^2 - w - 5]', '[47, 47, 3*w^2 - 7*w - 17]', '[53, 53, -2*w - 1]', '[61, 61, -2*w + 7]', '[67, 67, 3*w^2 - 5*w - 23]', '[67, 67, 2*w^2 - 4*w - 11]', '[67, 67, 3*w^2 - 7*w - 13]', '[79, 79, w^2 + w - 5]', '[89, 89, 5*w^2 - 7*w - 47]', '[97, 97, 5*w^2 - 11*w - 29]', '[103, 103, -3*w^2 + 5*w + 25]', '[103, 103, 2*w^2 - 6*w - 5]', '[103, 103, -7*w^2 + 9*w + 67]', '[107, 107, w^2 - 3*w - 1]', '[109, 109, -5*w^2 + 7*w + 49]', '[113, 113, w^2 - w - 13]', '[121, 11, 9*w^2 - 13*w - 79]', '[125, 5, -5]', '[127, 127, -4*w^2 + 4*w + 41]', '[131, 131, 2*w + 7]', '[137, 137, -2*w^2 + 4*w + 7]', '[139, 139, -3*w^2 + 3*w + 29]', '[139, 139, w^2 - w - 1]', '[139, 139, 2*w - 1]', '[151, 151, -9*w^2 + 11*w + 85]', '[157, 157, 8*w^2 - 10*w - 73]', '[163, 163, -2*w^2 + 2*w + 7]', '[163, 163, 4*w^2 - 10*w - 17]', '[163, 163, -6*w - 7]', '[167, 167, 2*w^2 - 4*w - 17]', '[167, 167, -4*w^2 + 6*w + 37]', '[167, 167, -2*w^2 + 2*w + 5]', '[169, 13, -6*w^2 + 14*w + 29]', '[179, 179, -w^2 - 3*w + 1]', '[179, 179, 6*w^2 - 14*w - 31]', '[179, 179, -3*w^2 + 5*w + 29]', '[191, 191, -2*w + 5]', '[197, 197, 2*w^2 - 4*w - 19]', '[211, 211, -w^2 - w + 17]', '[211, 211, -2*w^2 + 2*w + 23]', '[211, 211, -5*w^2 + 7*w + 43]', '[241, 241, 2*w^2 - 2*w - 13]', '[241, 241, 3*w^2 - 7*w - 19]', '[241, 241, w^2 + w - 7]', '[257, 257, -4*w^2 + 8*w + 25]', '[269, 269, -2*w^2 + 29]', '[277, 277, 6*w^2 - 16*w - 29]', '[283, 283, 4*w^2 - 4*w - 37]', '[293, 293, -2*w^2 + 5]', '[307, 307, w^2 - 5*w - 17]', '[313, 313, 2*w^2 + 2*w - 5]', '[317, 317, 12*w^2 - 16*w - 109]', '[317, 317, w^2 + 3*w + 5]', '[317, 317, 3*w^2 - 5*w - 13]', '[331, 331, 6*w^2 - 8*w - 59]', '[337, 337, -5*w^2 + 5*w + 53]', '[343, 7, -7]', '[347, 347, 3*w^2 - 3*w - 23]', '[347, 347, -4*w^2 + 4*w + 43]', '[347, 347, -3*w^2 + w + 7]', '[349, 349, -w^2 + 5*w + 11]', '[353, 353, -5*w^2 + 11*w + 31]', '[359, 359, 6*w + 13]', '[359, 359, -13*w^2 + 17*w + 119]', '[367, 367, 2*w^2 - 8*w + 1]', '[373, 373, -4*w^2 + 10*w + 23]', '[379, 379, -11*w^2 + 15*w + 101]', '[383, 383, -3*w^2 + 9*w + 11]', '[397, 397, -5*w^2 + 11*w + 25]', '[401, 401, w^2 - 5*w - 5]', '[419, 419, -4*w^2 + 8*w + 19]', '[421, 421, 3*w^2 - 9*w - 13]', '[431, 431, 3*w^2 - 5*w - 19]', '[433, 433, 6*w + 11]', '[433, 433, -7*w^2 + 11*w + 59]', '[433, 433, -w^2 + w - 1]', '[439, 439, -6*w^2 + 12*w + 41]', '[467, 467, 12*w^2 - 16*w - 115]', '[479, 479, 4*w^2 - 8*w - 23]', '[487, 487, w^2 - 5*w - 13]', '[491, 491, 2*w^2 - 4*w - 5]', '[503, 503, -3*w^2 + w + 19]', '[523, 523, -6*w^2 + 10*w + 49]', '[529, 23, 3*w^2 - 5*w - 17]', '[541, 541, w^2 + 7*w + 13]', '[541, 541, -4*w^2 + 12*w + 13]', '[541, 541, w^2 + w - 11]', '[547, 547, 7*w^2 - 19*w - 37]', '[563, 563, -5*w^2 + 9*w + 35]', '[569, 569, -3*w^2 + 9*w + 19]', '[577, 577, -10*w^2 + 14*w + 91]', '[593, 593, -4*w - 1]', '[599, 599, -6*w^2 + 6*w + 61]', '[613, 613, 5*w^2 - 7*w - 41]', '[613, 613, -3*w^2 - w + 5]', '[613, 613, 2*w^2 - 2*w - 25]', '[617, 617, -5*w^2 + 5*w + 47]', '[631, 631, w^2 - 7*w - 13]', '[647, 647, w^2 - 5*w + 1]', '[659, 659, 3*w^2 - w - 5]', '[661, 661, 5*w^2 - 5*w - 41]', '[661, 661, -w^2 - 7*w - 5]', '[661, 661, 8*w^2 - 18*w - 47]', '[673, 673, w^2 + 5*w + 1]', '[677, 677, 4*w + 13]', '[683, 683, -2*w^2 - 4*w + 5]', '[691, 691, -8*w^2 + 10*w + 71]', '[691, 691, 2*w^2 - 6*w - 17]', '[691, 691, 2*w^2 - 8*w - 11]', '[701, 701, w^2 - 5*w - 1]', '[709, 709, w^2 - 7*w + 13]', '[719, 719, 4*w^2 - 6*w - 13]', '[727, 727, 2*w^2 - 17]', '[743, 743, -4*w^2 + 4*w + 31]', '[751, 751, 2*w - 11]', '[757, 757, -7*w^2 + 9*w + 61]', '[761, 761, -13*w^2 + 15*w + 127]', '[773, 773, w^2 - w - 17]', '[773, 773, 5*w^2 - 13*w - 19]', '[773, 773, -6*w - 17]', '[787, 787, 4*w^2 - 12*w - 19]', '[797, 797, -18*w^2 + 22*w + 167]', '[797, 797, -3*w^2 + 7*w + 23]', '[797, 797, -11*w^2 + 13*w + 103]', '[811, 811, 4*w^2 - 10*w - 25]', '[811, 811, 8*w + 13]', '[811, 811, -8*w^2 + 10*w + 79]', '[821, 821, 3*w^2 - 3*w - 7]', '[839, 839, -9*w^2 + 19*w + 55]', '[841, 29, 9*w^2 - 13*w - 77]', '[857, 857, 2*w^2 + 2*w - 35]', '[859, 859, -4*w + 13]', '[877, 877, 2*w^2 - 6*w - 23]', '[881, 881, w^2 - 7*w + 11]', '[883, 883, 3*w^2 - w - 37]', '[887, 887, 3*w^2 - 3*w - 35]', '[907, 907, w^2 - 5*w + 7]', '[907, 907, -w^2 + 11*w + 17]', '[907, 907, -8*w^2 + 12*w + 77]', '[911, 911, 8*w + 17]', '[929, 929, 2*w^2 + 2*w - 11]', '[937, 937, 3*w^2 - 11*w - 17]', '[937, 937, -8*w^2 + 12*w + 71]', '[937, 937, 3*w^2 - w - 17]', '[941, 941, 3*w^2 + w - 13]', '[947, 947, -7*w^2 + 19*w + 31]', '[971, 971, 2*w^2 + 8*w + 11]', '[977, 977, 13*w^2 - 17*w - 125]', '[983, 983, 11*w^2 - 15*w - 107]', '[983, 983, -5*w^2 + 13*w + 29]', '[983, 983, 2*w^2 - 8*w - 17]', '[991, 991, -21*w^2 + 25*w + 191]', '[997, 997, 3*w^2 - 3*w - 13]']}
43. label: 3.3.1489.1
    {'degree': 3, 'discriminant': 1489, 'ideals': ['[1, 1, 1]', '[7, 7, w]', '[8, 2, 2]', '[13, 13, w^2 - 3*w - 5]', '[17, 17, w - 1]', '[19, 19, -w^2 + 2*w + 6]', '[19, 19, -w^2 + 2*w + 10]', '[19, 19, -w + 3]', '[23, 23, w - 2]', '[27, 3, 3]', '[29, 29, w^2 - 2*w - 5]', '[31, 31, w^2 - 3*w - 6]', '[31, 31, w^2 - w - 8]', '[31, 31, w^2 - 2*w - 4]', '[41, 41, w^2 - w - 5]', '[43, 43, w^2 - 3*w - 10]', '[47, 47, -w - 4]', '[47, 47, w^2 - w - 9]', '[47, 47, -2*w^2 + 3*w + 17]', '[49, 7, w^2 - w - 10]', '[49, 49, -w^2 + 3*w + 7]', '[53, 53, w^2 - w - 4]', '[56, 14, 2*w]', '[59, 59, -w^2 + 2*w + 11]', '[61, 61, w^2 - 3*w - 1]', '[61, 61, w^2 - 3*w - 8]', '[61, 61, w^2 - 3*w - 9]', '[64, 4, 4]', '[71, 71, 2*w^2 - 5*w - 13]', '[73, 73, 2*w^2 - 5*w - 10]', '[89, 89, w^2 - 4*w - 6]', '[91, 91, 2*w^2 - 3*w - 14]', '[97, 97, 2*w - 1]', '[101, 101, 2*w^2 - 5*w - 9]', '[103, 103, 2*w^2 - 4*w - 13]', '[104, 26, 2*w^2 - 6*w - 10]', '[107, 107, -w - 5]', '[109, 109, 2*w^2 - 5*w - 8]', '[113, 113, w^2 - 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29]', '[9971, 9971, 6*w^2 - 17*w - 53]', '[9976, 2494, -12*w^2 + 30*w + 64]', '[9979, 9979, -2*w^2 - 7*w + 9]', '[9989, 9989, -5*w^2 + 22*w + 28]', '[9989, 9989, -5*w^2 + 24*w + 28]', '[9989, 9989, -10*w^2 + 25*w + 49]', '[9991, 9991, 6*w^2 - 18*w - 41]'], 'label': '3.3.1489.1', 'narrow_class_no': 2, 'primes': ['[7, 7, w]', '[8, 2, 2]', '[13, 13, w^2 - 3*w - 5]', '[17, 17, w - 1]', '[19, 19, -w^2 + 2*w + 6]', '[19, 19, -w^2 + 2*w + 10]', '[19, 19, -w + 3]', '[23, 23, w - 2]', '[27, 3, 3]', '[29, 29, w^2 - 2*w - 5]', '[31, 31, w^2 - 3*w - 6]', '[31, 31, w^2 - w - 8]', '[31, 31, w^2 - 2*w - 4]', '[41, 41, w^2 - w - 5]', '[43, 43, w^2 - 3*w - 10]', '[47, 47, -w - 4]', '[47, 47, w^2 - w - 9]', '[47, 47, -2*w^2 + 3*w + 17]', '[49, 7, w^2 - w - 10]', '[53, 53, w^2 - w - 4]', '[59, 59, -w^2 + 2*w + 11]', '[61, 61, w^2 - 3*w - 1]', '[61, 61, w^2 - 3*w - 8]', '[61, 61, w^2 - 3*w - 9]', '[71, 71, 2*w^2 - 5*w - 13]', '[73, 73, 2*w^2 - 5*w - 10]', '[89, 89, w^2 - 4*w - 6]', '[97, 97, 2*w - 1]', '[101, 101, 2*w^2 - 5*w - 9]', '[103, 103, 2*w^2 - 4*w - 13]', '[107, 107, -w - 5]', '[109, 109, 2*w^2 - 5*w - 8]', '[113, 113, w^2 - 5*w - 6]', '[125, 5, -5]', '[127, 127, -w^2 + 2*w + 12]', '[151, 151, 2*w - 9]', '[157, 157, 2*w^2 - 3*w - 13]', '[157, 157, 3*w^2 - 7*w - 18]', '[157, 157, 2*w^2 - 5*w - 15]', '[167, 167, 2*w - 3]', '[169, 13, -w^2 + 4*w - 2]', '[173, 173, 2*w^2 - 6*w - 11]', '[179, 179, 3*w^2 - 8*w - 17]', '[179, 179, 2*w^2 - 5*w - 16]', '[179, 179, 2*w^2 - 5*w - 17]', '[181, 181, 2*w - 5]', '[191, 191, w^2 - 4*w - 9]', '[193, 193, w^2 - 4*w - 10]', '[193, 193, w^2 + w - 5]', '[193, 193, w^2 - 8]', '[197, 197, 2*w^2 - 4*w - 11]', '[199, 199, -w - 6]', '[211, 211, -3*w^2 + 5*w + 22]', '[223, 223, 2*w^2 - 3*w - 12]', '[227, 227, 4*w^2 - 9*w - 26]', '[229, 229, w^2 - 2*w - 13]', '[241, 241, -w^2 + 3*w - 1]', '[251, 251, 2*w^2 - 4*w - 9]', '[257, 257, 3*w^2 - 7*w - 27]', '[263, 263, w^2 - 6*w - 4]', '[277, 277, w^2 - 5*w - 1]', '[281, 281, 3*w - 1]', '[283, 283, 2*w^2 - 3*w - 11]', '[283, 283, w^2 - 5*w - 8]', '[283, 283, w^2 - 13]', '[289, 17, w^2 - 10]', '[293, 293, 2*w^2 - w - 9]', '[293, 293, -4*w - 1]', '[293, 293, 2*w^2 - 6*w - 3]', '[307, 307, 2*w^2 - 4*w - 3]', '[313, 313, w^2 - 12]', '[313, 313, 3*w^2 - 7*w - 23]', '[313, 313, w^2 - 11]', '[331, 331, 2*w^2 - 3*w - 10]', '[331, 331, 3*w^2 - 7*w - 26]', '[331, 331, -2*w^2 + 8*w + 5]', '[347, 347, w^2 - 5*w - 9]', '[353, 353, -w^2 - w - 3]', '[359, 359, 3*w^2 - 7*w - 16]', '[367, 367, 2*w^2 - 3*w - 8]', '[373, 373, 2*w^2 - 7*w - 11]', '[373, 373, 3*w - 2]', '[373, 373, -4*w^2 + 7*w + 30]', '[383, 383, 2*w^2 - 7*w - 1]', '[389, 389, w^2 - 5*w - 10]', '[389, 389, 2*w^2 - 2*w - 9]', '[389, 389, -3*w^2 + 7*w + 10]', '[401, 401, 2*w^2 - w - 5]', '[419, 419, 3*w^2 - 3*w - 22]', '[421, 421, -w^2 + w - 2]', '[439, 439, 3*w^2 - 7*w - 15]', '[449, 449, 2*w^2 - 6*w - 15]', '[457, 457, 3*w^2 - 5*w - 20]', '[461, 461, -w^2 + 2*w - 2]', '[479, 479, 4*w^2 - 6*w - 29]', '[487, 487, 2*w^2 - 3*w - 23]', '[503, 503, -w - 8]', '[503, 503, 2*w^2 - 6*w - 17]', '[503, 503, -3*w^2 + 9*w + 16]', '[523, 523, 4*w^2 - 9*w - 31]', '[523, 523, 3*w^2 - 7*w - 12]', '[523, 523, w^2 + 2*w - 5]', '[529, 23, w^2 + w - 8]', '[563, 563, 3*w^2 - 8*w - 20]', '[563, 563, 3*w^2 - 4*w - 19]', '[563, 563, w^2 - 6*w - 2]', '[569, 569, w^2 - w - 16]', '[571, 571, w^2 + 3*w - 3]', '[587, 587, -2*w - 9]', '[593, 593, 2*w^2 - 7*w - 22]', '[599, 599, 5*w^2 - 12*w - 33]', '[613, 613, 4*w^2 - 9*w - 33]', '[617, 617, 3*w^2 - 6*w - 17]', '[619, 619, 5*w^2 - 13*w - 29]', '[631, 631, -5*w - 1]', '[641, 641, w^2 + w - 9]', '[647, 647, -w^2 + w - 3]', '[661, 661, w^2 - 6*w - 11]', '[673, 673, 4*w^2 - 5*w - 27]', '[683, 683, -w^2 + 2*w - 3]', '[691, 691, w^2 - 6*w - 13]', '[701, 701, w^2 + 2*w - 6]', '[709, 709, -3*w^2 + 6*w + 16]', '[719, 719, 3*w^2 - 5*w - 18]', '[727, 727, -w - 9]', '[733, 733, 3*w^2 - 4*w - 18]', '[743, 743, 2*w^2 - w - 16]', '[743, 743, 2*w^2 - 6*w - 1]', '[743, 743, w^2 + w - 10]', '[751, 751, 2*w^2 - 3*w - 24]', '[787, 787, 3*w^2 - 6*w - 5]', '[797, 797, 4*w^2 - 9*w - 23]', '[809, 809, w^2 + w - 16]', '[811, 811, 4*w^2 - 8*w - 39]', '[821, 821, -5*w^2 + 13*w + 24]', '[829, 829, 5*w^2 - 8*w - 37]', '[829, 829, 3*w^2 - 8*w - 27]', '[829, 829, w^2 + w - 11]', '[839, 839, 3*w^2 - 2*w - 15]', '[841, 29, 3*w^2 - 5*w - 17]', '[853, 853, 3*w^2 - 6*w - 13]', '[857, 857, 4*w^2 - 13*w - 18]', '[857, 857, 3*w^2 - 8*w - 23]', '[857, 857, w^2 - 4*w - 17]', '[859, 859, 5*w^2 - 11*w - 32]', '[863, 863, 3*w^2 - 9*w - 31]', '[863, 863, 4*w^2 - 10*w - 17]', '[863, 863, -w^2 + 6*w - 1]', '[877, 877, 2*w^2 - 7*w - 20]', '[883, 883, 2*w^2 - w - 17]', '[907, 907, 3*w^2 - 8*w - 24]', '[929, 929, w^2 + w - 13]', '[937, 937, 4*w - 3]', '[941, 941, 5*w^2 - 11*w - 41]', '[941, 941, 2*w^2 - 7*w - 19]', '[941, 941, 2*w^2 - 5*w - 24]', '[967, 967, 2*w^2 - w - 24]', '[971, 971, 4*w^2 - 9*w - 22]', '[983, 983, 6*w^2 - 15*w - 37]', '[997, 997, 4*w^2 - 10*w - 37]']}
44. label: 3.3.1492.1
    {'degree': 3, 'discriminant': 1492, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 1]', '[4, 2, w^2 - 2*w - 7]', '[5, 5, w]', '[7, 7, w^2 - 2*w - 8]', '[7, 7, -2*w^2 + 3*w + 16]', '[7, 7, -w^2 + 2*w + 6]', '[8, 2, 2]', '[10, 10, 2*w^2 - 3*w - 15]', '[11, 11, w^2 - 2*w - 2]', '[14, 14, -w^2 + 3*w + 4]', '[14, 14, w - 3]', '[14, 14, w - 1]', '[16, 4, -2*w - 2]', '[19, 19, -w + 2]', '[20, 10, -w^2 + 2*w + 5]', '[22, 22, w^2 - w - 8]', '[23, 23, -w^2 + 3*w + 1]', '[25, 5, w^2 - w - 9]', '[25, 25, 3*w^2 - 5*w - 25]', '[27, 3, 3]', '[28, 14, -w^2 + 2*w + 1]', '[28, 14, -w^2 + 2*w + 3]', '[28, 14, -w^2 + 1]', '[29, 29, -w^2 - w + 1]', '[29, 29, w^2 - 2*w - 4]', '[29, 29, -w^2 + w + 11]', '[32, 4, 2*w^2 - 4*w - 14]', '[35, 35, -w^2 + w + 5]', '[35, 35, w^2 - 3*w - 5]', '[35, 35, w^2 - 2*w - 10]', '[38, 38, w^2 - w - 2]', '[40, 10, 2*w]', '[43, 43, 2*w^2 - 3*w - 18]', '[44, 22, -w^2 + 3]', '[46, 46, 4*w^2 - 7*w - 31]', '[47, 47, -2*w + 7]', '[49, 7, w^2 - 4*w - 4]', '[49, 7, w^2 - 5*w - 3]', '[49, 7, -w^2 + 2]', '[49, 49, -w - 4]', '[49, 49, -4*w^2 + 7*w + 32]', '[49, 49, -w^2 - w - 1]', '[50, 10, -w^2 + w + 4]', '[50, 50, -w + 5]', '[53, 53, w^2 - w - 3]', '[54, 6, -3*w - 3]', '[55, 55, 2*w^2 - 4*w - 15]', '[56, 14, 2*w^2 - 4*w - 16]', '[56, 14, -4*w^2 + 6*w + 32]', '[56, 14, -2*w^2 + 4*w + 12]', '[58, 58, -3*w^2 + 5*w + 22]', '[58, 58, -3*w - 1]', '[58, 58, w^2 - 3*w - 6]', '[61, 61, w^2 + 2*w + 2]', '[64, 4, 4]', '[67, 67, -2*w^2 + 5*w + 8]', '[70, 70, w^2 - 3*w]', '[70, 70, 2*w^2 - 5*w - 5]', '[70, 70, w^2 - w]', '[76, 38, 3*w^2 - 4*w - 23]', '[77, 77, -3*w - 4]', '[77, 77, -2*w + 1]', '[77, 77, w^2 - 3*w - 7]', '[79, 79, w^2 - 3*w - 9]', '[80, 20, 4*w^2 - 6*w - 30]', '[86, 86, -w^2 + 3*w + 8]', '[88, 22, 2*w^2 - 4*w - 4]', '[92, 46, -w^2 + 2*w + 11]', '[94, 94, 2*w^2 - 5*w - 7]', '[95, 95, -w^2 + 2*w]', '[97, 97, -w^2 - 2*w + 2]', '[98, 14, -4*w^2 + 7*w + 29]', '[98, 14, 3*w^2 - 5*w - 26]', '[98, 14, -2*w^2 + 3*w + 13]', '[98, 98, 2*w^2 - 5*w - 11]', '[98, 98, w^2 - w - 12]', '[98, 98, 2*w^2 - 5*w - 3]', '[100, 10, 3*w^2 - 8*w - 7]', '[100, 50, w^2 - 4*w - 5]', '[106, 106, -w^2 - 5*w - 2]', '[108, 6, 3*w^2 - 6*w - 21]', '[109, 109, -2*w^2 + 4*w + 11]', '[109, 109, -3*w^2 + 4*w + 26]', '[109, 109, -3*w^2 + 4*w + 28]', '[110, 110, w + 5]', '[112, 28, -2*w^2 + 6*w + 8]', '[112, 28, 2*w - 6]', '[112, 28, 2*w - 2]', '[113, 113, -4*w^2 + 8*w + 27]', '[115, 115, 2*w^2 - 8*w - 5]', '[116, 58, w^2 - 7]', '[116, 58, -w^2 + 13]', '[116, 58, w^2 + 1]', '[121, 11, 5*w^2 - 8*w - 38]', '[121, 121, w - 6]', '[122, 122, -2*w^2 + 3*w + 19]', '[125, 5, 5]', '[125, 125, -2*w^2 + 2*w + 15]', '[127, 127, -3*w^2 + 4*w + 24]', '[128, 8, -4*w - 4]', '[131, 131, -4*w^2 + 5*w + 38]', '[133, 133, 3*w^2 - 5*w - 21]', '[133, 133, -2*w^2 + 4*w + 19]', '[133, 133, -5*w^2 + 8*w + 42]', '[134, 134, -w^2 + 5*w + 2]', '[135, 15, 3*w]', '[139, 139, 2*w - 3]', '[140, 70, 3*w^2 - 4*w - 25]', '[140, 70, -3*w^2 + 6*w + 25]', '[140, 70, w^2 - 6*w - 5]', '[145, 145, -w^2 + 5*w + 5]', '[145, 145, -6*w^2 + 11*w + 50]', '[145, 145, 2*w - 5]', '[149, 149, -w^2 + 3*w - 1]', '[151, 151, w^2 - 4*w - 6]', '[152, 38, -2*w + 4]', '[154, 154, 5*w^2 - 9*w - 38]', '[154, 154, 2*w^2 + w - 1]', '[154, 154, w^2 + w + 2]', '[157, 157, 2*w^2 - 3*w - 12]', '[158, 158, w^2 + 3*w + 4]', '[160, 20, -2*w^2 + 4*w + 10]', '[161, 161, w^2 - 8]', '[161, 161, -2*w^2 + 5*w + 12]', '[161, 161, 2*w^2 - 2*w - 19]', '[167, 167, -3*w^2 + 6*w + 22]', '[172, 86, -w^2 - 2*w - 3]', '[173, 173, -3*w^2 + 8*w + 8]', '[175, 35, 2*w^2 - 2*w - 3]', '[175, 35, w^2 - w + 1]', '[175, 35, 6*w^2 - 11*w - 44]', '[175, 175, -2*w^2 + 4*w + 5]', '[175, 175, -4*w - 5]', '[175, 175, -w^2 - w + 5]', '[176, 44, 2*w^2 - 2*w - 16]', '[181, 181, w^2 - 2*w - 12]', '[181, 181, w^2 - 12]', '[181, 181, -4*w - 1]', '[184, 46, -2*w^2 + 6*w + 2]', '[188, 94, w^2 - 6*w - 3]', '[189, 21, 3*w^2 - 6*w - 24]', '[189, 21, -6*w^2 + 9*w + 48]', '[189, 21, -3*w^2 + 6*w + 18]', '[190, 190, 5*w^2 - 9*w - 40]', '[191, 191, 2*w^2 - 6*w - 9]', '[193, 193, -8*w^2 + 12*w + 67]', '[194, 194, -6*w^2 + 9*w + 49]', '[196, 14, -w^2 + 4*w + 11]', '[196, 14, w^2 - 9]', '[196, 14, w^2 + 2*w - 3]', '[196, 98, -3*w^2 + 6*w + 23]', '[196, 98, w^2 - 2*w + 1]', '[196, 98, -w^2 + 4*w + 7]', '[197, 197, 2*w^2 - 3*w - 4]', '[199, 199, 2*w^2 - 2*w - 11]', '[200, 10, 2*w^2 - 2*w - 18]', '[200, 50, 6*w^2 - 10*w - 50]', '[203, 203, w + 6]', '[203, 203, -2*w^2 + 2*w + 17]', '[203, 203, 5*w^2 - 9*w - 39]', '[203, 203, 5*w + 2]', '[203, 203, 2*w - 9]', '[203, 203, 2*w^2 - 4*w - 9]', '[203, 203, -w^2 + w + 13]', '[203, 203, -2*w^2 + 8*w + 7]', '[203, 203, -w^2 + 5*w + 1]', '[209, 209, 3*w^2 - 11*w - 9]', '[211, 211, 4*w^2 - 6*w - 29]', '[212, 106, -w^2 + 11]', '[215, 215, -w^2 + 10]', '[216, 6, 6]', '[218, 218, 2*w^2 - 5*w - 13]', '[218, 218, 3*w - 1]', '[218, 218, 2*w^2 - 3*w - 11]', '[220, 110, -3*w^2 + 8*w + 5]', '[223, 223, 3*w^2 - 5*w - 27]', '[224, 28, -2*w^2 + 4*w + 2]', '[224, 28, -2*w^2 + 4*w + 6]', '[224, 28, -2*w^2 + 2]', '[226, 226, w - 7]', '[227, 227, -4*w^2 + 7*w + 28]', '[229, 229, 3*w^2 - 8*w - 14]', '[229, 229, w^2 - 4*w - 8]', '[229, 229, -2*w - 7]', '[230, 230, -3*w^2 + 5*w + 20]', '[232, 58, -2*w^2 - 2*w + 2]', '[232, 58, 2*w^2 - 4*w - 8]', '[232, 58, -2*w^2 + 2*w + 22]', '[233, 233, -5*w^2 + 7*w + 43]', '[235, 235, -2*w^2 + 7*w]', '[241, 241, 2*w^2 - 4*w - 7]', '[242, 22, -3*w^2 + 7*w + 14]', '[242, 242, -w^2 + 5*w + 6]', '[244, 122, w^2 - 4*w - 9]', '[245, 35, -w^2 - 7*w - 5]', '[245, 35, 6*w^2 - 10*w - 45]', '[245, 35, -2*w^2 + 3*w + 20]', '[245, 245, 4*w^2 - 8*w - 25]', '[245, 245, 3*w^2 - 4*w - 20]', '[245, 245, -w^2 - 4*w]', '[250, 10, -5*w - 5]', '[250, 250, -w^2 + 5*w]', '[251, 251, w^2 + 2]', '[251, 251, -2*w^2 + 2*w + 1]', '[251, 251, 2*w^2 - 5*w - 2]', '[253, 253, 5*w^2 - 7*w - 39]', '[254, 254, 2*w^2 - w - 9]', '[256, 8, 4*w^2 - 8*w - 28]', '[262, 262, -3*w^2 + 7*w + 18]', '[263, 263, 2*w^2 - 5*w - 14]', '[265, 265, 6*w + 5]', '[266, 266, -w^2 - w + 6]', '[266, 266, -w^2 + 3*w - 2]', '[266, 266, 2*w^2 - 5*w - 17]', '[268, 134, w^2 + 2*w - 21]', '[269, 269, -w^2 + 5*w - 1]', '[270, 30, 6*w^2 - 9*w - 45]', '[271, 271, -2*w^2 - 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6]', '[617, 617, 5*w^2 - 11*w - 31]', '[619, 619, -4*w^2 + 6*w + 37]', '[641, 641, 3*w^2 - 6*w - 14]', '[647, 647, -2*w^2 + 3*w + 22]', '[653, 653, 2*w^2 - 7*w - 22]', '[653, 653, 2*w^2 + w + 2]', '[653, 653, -3*w^2 + 5*w + 29]', '[659, 659, 4*w^2 - 11*w - 18]', '[659, 659, 3*w^2 - 6*w - 8]', '[659, 659, 4*w^2 - 8*w - 23]', '[661, 661, w^2 + w - 11]', '[677, 677, -w^2 - 4]', '[701, 701, -2*w^2 - 5*w + 2]', '[727, 727, -2*w^2 + w + 18]', '[733, 733, -9*w^2 + 13*w + 79]', '[733, 733, -7*w^2 + 10*w + 56]', '[733, 733, 2*w^2 - 13]', '[739, 739, 6*w^2 - 10*w - 43]', '[739, 739, 4*w^2 - 4*w - 29]', '[739, 739, -8*w^2 + 15*w + 58]', '[751, 751, -11*w^2 + 19*w + 87]', '[757, 757, 3*w^2 - 10*w - 12]', '[761, 761, 4*w - 3]', '[769, 769, 3*w^2 - w - 13]', '[811, 811, 5*w^2 - 9*w - 33]', '[823, 823, 2*w^2 - 7*w - 12]', '[853, 853, -7*w - 8]', '[853, 853, -3*w^2 + 4*w + 2]', '[853, 853, 2*w^2 + 5*w + 6]', '[857, 857, 10*w^2 - 15*w - 82]', '[857, 857, 3*w^2 - 8*w - 18]', '[857, 857, -4*w^2 + 3*w + 44]', '[859, 859, -w^2 + 4*w - 6]', '[877, 877, -4*w^2 + 13*w + 14]', '[881, 881, 2*w^2 - 9*w - 2]', '[887, 887, 3*w - 14]', '[907, 907, -11*w^2 + 21*w + 77]', '[919, 919, 12*w^2 - 21*w - 92]', '[929, 929, w^2 - 18]', '[937, 937, 9*w + 4]', '[941, 941, -2*w^2 + 2*w - 1]', '[947, 947, 4*w^2 - 9*w - 18]', '[953, 953, -7*w^2 + 14*w + 48]', '[977, 977, w^2 - 2*w - 16]', '[983, 983, 4*w^2 - 7*w - 24]', '[991, 991, -3*w^2 - 2*w + 4]']}
45. label: 3.3.1509.1
    {'degree': 3, 'discriminant': 1509, 'ideals': ['[1, 1, 1]', '[2, 2, -w^2 + 6]', '[3, 3, -2*w^2 + w + 15]', '[3, 3, w - 1]', '[4, 2, -w^2 + 3*w - 1]', '[4, 4, w]', '[6, 6, -w - 2]', '[6, 6, -w + 2]', '[8, 2, 2]', '[8, 8, -w^2 + 8]', '[9, 3, w^2 - 2*w + 1]', '[9, 3, w^2 - 7]', '[9, 9, w + 1]', '[11, 11, w + 3]', '[12, 6, -w^2 + w + 5]', '[12, 6, w^2 - w - 9]', '[12, 12, -w^2 + w + 8]', '[12, 12, w^2 - w]', '[16, 4, -2*w^2 + 12]', '[16, 4, -w^2 + w + 7]', '[16, 16, w^2]', '[18, 6, -w^2 + 3*w - 2]', '[18, 6, -w^2 - w + 2]', '[18, 18, -3*w^2 + w + 22]', '[19, 19, -w^2 + 5]', '[22, 22, -3*w + 2]', '[23, 23, -2*w^2 + 2*w + 17]', '[24, 6, -4*w^2 + 2*w + 30]', '[24, 6, 2*w - 2]', '[24, 24, -w^2 + 2*w]', '[24, 24, w - 4]', '[27, 3, 3]', '[27, 9, w^2 - 1]', '[27, 9, 2*w^2 - w - 13]', '[27, 27, -3*w^2 + 2*w + 23]', '[31, 31, -w^2 + 2*w + 1]', '[32, 4, -2*w^2 + 6*w - 2]', '[32, 8, 2*w]', '[32, 32, -w^2 + w + 4]', '[33, 33, w^2 + 2*w - 3]', '[33, 33, -w^2 + 4*w - 1]', '[36, 6, -w^2 - w + 5]', '[36, 6, w^2 - 3*w - 1]', '[36, 12, -2*w^2 + w + 16]', '[36, 12, w^2 - 4]', '[36, 18, w^2 - 5*w + 3]', '[36, 36, w^2 + w]', '[37, 37, 2*w^2 - 13]', '[38, 38, -w^2 + 5*w - 2]', '[43, 43, 5*w^2 - 2*w - 35]', '[43, 43, 3*w - 1]', '[43, 43, 2*w - 3]', '[44, 22, -w^2 + w + 1]', '[44, 44, -w^2 + 2*w + 4]', '[46, 46, -w^2 + 2]', '[47, 47, w^2 - 3]', '[48, 12, -2*w - 4]', '[48, 12, w^2 - w + 1]', '[48, 12, -2*w + 4]', '[48, 12, w^2 - w - 3]', '[48, 48, w + 4]', '[48, 48, 3*w^2 - w - 20]', '[54, 6, -3*w^2 + 18]', '[54, 18, -w^2 - 4*w + 2]', '[54, 18, w^2 - 10]', '[54, 54, -w^2 + w + 2]', '[57, 57, -w^2 - 4*w + 3]', '[57, 57, -2*w - 1]', '[59, 59, -3*w^2 + 2*w + 21]', '[62, 62, -w^2 + w + 10]', '[64, 4, 4]', '[64, 8, -w^2 - 3*w + 3]', '[64, 16, -2*w^2 + 16]', '[64, 64, -3*w^2 + 2*w + 24]', '[66, 66, 3*w^2 - 2*w - 22]', '[66, 66, -w^2 - w + 6]', '[69, 69, 2*w^2 + w - 9]', '[69, 69, -w + 5]', '[71, 71, 2*w + 3]', '[71, 71, 3*w^2 - 19]', '[71, 71, 4*w^2 - 13*w + 5]', '[72, 6, 2*w^2 - 4*w + 2]', '[72, 6, 2*w^2 - 14]', '[72, 18, 2*w + 2]', '[72, 24, w^2 - 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11]', '[108, 6, -3*w^2 + 9*w - 3]', '[108, 12, 3*w]', '[108, 18, 5*w^2 - 3*w - 35]', '[108, 18, -w^2 - w - 1]', '[108, 36, w^2 + 6*w - 4]', '[108, 36, w^2 + w - 8]', '[108, 54, -w^2 - w + 9]', '[108, 108, -w^2 + 2*w + 12]', '[109, 109, 3*w^2 - 8*w + 3]', '[111, 111, w + 5]', '[111, 111, 2*w^2 + 2*w - 3]', '[113, 113, -2*w^2 + 2*w - 1]', '[114, 114, -w^2 + 2*w + 6]', '[114, 114, 4*w^2 - w - 30]', '[118, 118, -3*w^2 + 9*w - 2]', '[121, 11, -w^2 + 4*w - 5]', '[121, 121, -4*w^2 + 2*w + 31]', '[124, 62, -5*w^2 + 3*w + 37]', '[124, 124, w^2 - 6*w + 4]', '[125, 5, -5]', '[127, 127, w^2 - 11]', '[128, 8, -4*w^2 + 24]', '[128, 8, -2*w^2 + 2*w + 14]', '[128, 32, 2*w^2]', '[128, 128, -3*w + 4]', '[129, 129, -2*w^2 + 2*w + 15]', '[129, 129, 6*w^2 - 2*w - 43]', '[129, 129, 2*w^2 - 5*w + 3]', '[129, 129, w^2 + 2*w - 5]', '[129, 129, -w^2 + 2*w + 9]', '[129, 129, 4*w^2 - w - 29]', '[131, 131, 2*w^2 - w - 11]', '[132, 66, w^2 - 7*w + 3]', '[132, 66, -3*w^2 + w + 19]', '[132, 132, 2*w^2 - 5*w]', '[132, 132, 3*w^2 - 8*w + 4]', '[137, 137, -w^2 + 2*w + 7]', '[137, 137, 3*w - 7]', '[137, 137, 2*w^2 - 3*w - 7]', '[138, 138, -4*w^2 + w + 26]', '[138, 138, -5*w + 2]', '[139, 139, -2*w^2 + 6*w + 1]', '[141, 141, 4*w - 1]', '[141, 141, 6*w^2 - 2*w - 41]', '[142, 142, -3*w^2 + 6*w - 2]', '[142, 142, -w^2 + w - 2]', '[142, 142, w - 6]', '[144, 12, -w^2 + 5*w - 1]', '[144, 12, -2*w^2 + 6*w - 4]', '[144, 12, 7*w^2 - 3*w - 49]', '[144, 12, -2*w^2 - 2*w + 4]', '[144, 36, -w^2 + w + 11]', '[144, 36, -6*w^2 + 2*w + 44]', '[144, 48, -w^2 + 2*w + 8]', '[144, 48, w^2 + 3*w - 4]', '[144, 144, -3*w^2 + 11*w - 4]', '[148, 74, w^2 - 3*w - 3]', '[148, 148, 2*w^2 + w - 8]', '[151, 151, 2*w^2 - 3*w - 19]', '[152, 38, -2*w^2 + 10]', '[152, 152, -5*w^2 + 3*w + 36]', '[157, 157, 3*w - 5]', '[162, 18, -5*w^2 + w + 34]', '[162, 18, -3*w - 6]', '[162, 18, -3*w + 6]', '[162, 54, w^2 - 6*w + 2]', '[162, 162, -5*w^2 + 2*w + 34]', '[163, 163, 2*w^2 - 7*w + 1]', '[166, 166, -3*w^2 + 10*w - 6]', '[167, 167, -3*w - 1]', '[167, 167, 4*w^2 - 14*w + 5]', '[167, 167, 3*w^2 - 12*w + 5]', '[171, 57, 4*w^2 - 3*w - 31]', '[171, 57, -2*w^2 + w + 1]', '[171, 171, -2*w^2 - 2*w + 9]', '[172, 86, w^2 + w - 13]', '[172, 86, -3*w^2 - w + 15]', '[172, 86, 7*w^2 - 25*w + 11]', '[172, 172, 3*w^2 - 20]', '[172, 172, 2*w^2 - 3*w]', '[172, 172, -7*w^2 + 4*w + 52]', '[173, 173, -3*w^2 + 12*w - 7]', '[176, 44, -3*w^2 + 3*w + 25]', '[176, 44, -6*w + 4]', '[176, 176, w^2 - 3*w + 4]', '[177, 177, w^2 - 2*w + 3]', '[177, 177, 2*w^2 - 2*w - 9]', '[178, 178, -w^2 - 2*w - 2]', '[178, 178, w^2 + 4*w + 2]', '[178, 178, 3*w^2 + 3*w - 10]', '[181, 181, w^2 - 4*w - 1]', '[184, 46, -4*w^2 + 4*w + 34]', '[184, 184, -w^2 - 5*w + 4]', '[186, 186, w^2 + 5*w - 2]', '[186, 186, w^2 + 2*w - 6]', '[188, 94, -3*w^2 + 9*w - 5]', '[188, 188, w^2 + 4*w - 4]', '[192, 12, -8*w^2 + 4*w + 60]', '[192, 12, 4*w - 4]', '[192, 24, -3*w^2 - w + 17]', '[192, 24, -3*w^2 - w + 1]', '[192, 48, -2*w^2 + 4*w]', '[192, 48, 2*w - 8]', '[192, 192, 2*w^2 + w - 12]', '[192, 192, w^2 + 4*w]', '[193, 193, -w^2 - 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7]', '[228, 228, -6*w^2 + w + 40]', '[228, 228, -2*w^2 - w]', '[233, 233, 2*w^2 - 19]', '[236, 118, -w^2 - 3*w + 5]', '[236, 236, -w^2 + 12]', '[241, 241, w^2 + 2*w - 7]', '[242, 22, 3*w^2 - w - 18]', '[242, 242, w^2 - 6*w + 6]', '[243, 9, 3*w^2 - 6*w + 3]', '[243, 9, 3*w^2 - 21]', '[243, 27, 3*w + 3]', '[243, 27, 2*w^2 - 4*w - 1]', '[243, 81, -2*w^2 + 9*w - 7]', '[243, 243, -4*w^2 + 4*w + 35]', '[248, 62, -2*w^2 + 4*w + 2]', '[248, 248, 3*w + 4]', '[249, 249, 2*w^2 - 2*w - 1]', '[249, 249, -w + 7]', '[250, 10, 5*w^2 - 30]', '[253, 253, 2*w^2 - w + 1]', '[254, 254, 9*w^2 - 3*w - 62]', '[256, 8, -4*w^2 + 12*w - 4]', '[256, 16, 4*w]', '[256, 16, -7*w^2 + 3*w + 53]', '[256, 64, -2*w^2 + 2*w + 8]', '[256, 256, -w^2 + 3*w + 12]', '[257, 257, -8*w^2 + 29*w - 13]', '[258, 258, -3*w^2 + 8*w - 2]', '[258, 258, -3*w^2 - 5*w + 2]', '[258, 258, -2*w^2 - w + 6]', '[258, 258, 7*w^2 - 4*w - 50]', '[258, 258, -9*w^2 + w + 58]', '[258, 258, -2*w^2 + 7*w - 6]', '[262, 262, 8*w^2 - 5*w - 62]', '[263, 263, -7*w^2 + 2*w + 49]', '[264, 66, 2*w^2 + 4*w - 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3*w + 53]', '[1879, 1879, 6*w^2 - 6*w - 31]', '[1881, 627, -4*w^2 + 8*w + 5]', '[1881, 627, -5*w^2 + 12*w - 7]', '[1881, 1881, -9*w^2 + 2*w + 65]', '[1882, 1882, 14*w^2 + 5*w - 74]', '[1884, 942, 5*w^2 - 11*w - 13]', '[1884, 942, -5*w^2 - w + 33]', '[1884, 1884, -5*w^2 + 26*w - 12]', '[1884, 1884, 5*w^2 - 2*w - 28]', '[1888, 236, -2*w^2 - 6*w + 10]', '[1888, 472, -2*w^2 + 24]', '[1888, 1888, -12*w^2 + 3*w + 92]', '[1889, 1889, -16*w^2 + 58*w - 29]', '[1892, 946, -17*w^2 + 7*w + 119]', '[1892, 946, 5*w^2 - 3*w - 43]', '[1892, 946, 3*w^2 - 15*w + 5]', '[1892, 1892, 8*w^2 - 21*w + 8]', '[1892, 1892, -24*w^2 + 15*w + 184]', '[1892, 1892, 5*w^2 - 12*w - 4]', '[1899, 633, 26*w^2 - 12*w - 185]', '[1899, 633, -4*w^2 + 14*w - 1]', '[1899, 1899, -5*w^2 + 2*w + 43]', '[1901, 1901, 4*w^2 - 7*w - 1]', '[1902, 1902, 17*w^2 - 5*w - 118]', '[1902, 1902, 3*w^2 + w + 2]', '[1903, 1903, 8*w - 9]', '[1906, 1906, 8*w^2 + 5*w - 38]', '[1907, 1907, 4*w^2 + 2*w - 13]', '[1909, 1909, -4*w^2 + 18*w - 13]', '[1913, 1913, -3*w^2 + 24*w - 13]', '[1913, 1913, w^2 + 6*w - 23]', '[1913, 1913, 5*w^2 - 20*w + 7]', '[1917, 213, 6*w + 9]', '[1917, 213, 9*w^2 - 57]', '[1917, 213, 12*w^2 - 39*w + 15]', '[1917, 639, -2*w^2 + 12*w - 13]', '[1917, 639, 2*w^2 - w + 5]', '[1917, 639, 5*w^2 + 2*w - 1]', '[1917, 639, -14*w^2 + 9*w + 95]', '[1917, 639, 8*w^2 - w - 55]', '[1917, 639, -5*w^2 + 6*w + 29]', '[1917, 1917, -5*w^2 + 22*w - 9]', '[1917, 1917, 7*w - 11]', '[1917, 1917, 2*w^2 + 4*w - 25]', '[1922, 62, 10*w^2 - 13*w - 94]', '[1922, 1922, -4*w^2 + 3*w + 18]', '[1923, 1923, 4*w^2 - 4*w + 3]', '[1923, 1923, 10*w^2 - 2*w - 69]', '[1926, 642, -5*w^2 - 2*w + 22]', '[1926, 642, -w^2 + 6*w - 14]', '[1926, 642, w^2 - 20*w + 10]', '[1926, 642, -5*w^2 + 26]', '[1926, 642, -w^2 - 6*w + 10]', '[1926, 642, -5*w^2 - 14*w - 2]', '[1926, 1926, -5*w^2 + 11*w - 2]', '[1926, 1926, -3*w^2 - 5*w - 2]', '[1926, 1926, 29*w^2 - 14*w - 214]', '[1928, 482, 2*w^2 + 4*w - 14]', '[1928, 1928, 5*w^2 - w - 44]', '[1929, 1929, -6*w^2 + 4*w + 35]', '[1929, 1929, -w^2 + 2*w - 9]', '[1933, 1933, -w^2 + 4*w - 11]', '[1934, 1934, 9*w^2 + 9*w - 34]', '[1936, 44, -w^2 - 7*w - 5]', '[1936, 44, 6*w^2 - 2*w - 36]', '[1936, 176, 19*w^2 - 10*w - 136]', '[1936, 484, 5*w^2 - 9*w + 5]', '[1936, 484, 2*w^2 - 12*w + 12]', '[1936, 1936, w^2 + 2*w + 8]', '[1941, 1941, 4*w^2 - 2*w - 3]', '[1941, 1941, -w + 13]', '[1942, 1942, 4*w^2 + 11*w - 10]', '[1944, 18, 6*w^2 - 12*w + 6]', '[1944, 18, 6*w^2 - 42]', '[1944, 54, 6*w + 6]', '[1944, 54, 4*w^2 - 8*w - 2]', '[1944, 72, 3*w^2 - 15*w + 12]', '[1944, 72, 21*w^2 - 9*w - 156]', '[1944, 162, -4*w^2 + 18*w - 14]', '[1944, 216, -6*w^2 + 3*w + 36]', '[1944, 216, -w^2 - 7*w - 4]', '[1944, 486, -8*w^2 + 8*w + 70]', '[1944, 648, -w^2 - 8]', '[1944, 1944, -5*w^2 - w + 4]', '[1947, 1947, -7*w + 23]', '[1947, 1947, 6*w^2 - w - 35]', '[1948, 974, w^2 + 5*w - 13]', '[1948, 1948, 4*w^2 + w - 40]', '[1949, 1949, -2*w^2 + 6*w - 9]', '[1949, 1949, 10*w^2 - 4*w - 67]', '[1949, 1949, 4*w^2 + 2*w - 7]', '[1951, 1951, 3*w^2 - 12*w + 1]', '[1954, 1954, -w^2 - 9*w + 2]', '[1956, 978, w^2 + 7*w - 9]', '[1956, 978, -3*w^2 + 5*w + 19]', '[1956, 1956, w^2 + 2*w - 20]', '[1956, 1956, -7*w^2 - 2*w + 36]', '[1957, 1957, -2*w^2 + 4*w - 7]', '[1958, 1958, 3*w^2 - w - 30]', '[1958, 1958, w^2 + 24*w - 14]', '[1958, 1958, -5*w^2 + 5*w + 38]', '[1959, 1959, 9*w^2 + 2*w - 49]', '[1959, 1959, 5*w^2 + 16*w - 9]', '[1962, 654, 11*w^2 - 7*w - 82]', '[1962, 654, -4*w^2 - 3*w + 22]', '[1962, 1962, 4*w^2 - 11*w - 6]', '[1964, 982, -5*w^2 - 7*w + 17]', '[1964, 982, 11*w^2 - 31*w + 13]', '[1964, 982, 9*w^2 - 3*w - 59]', '[1964, 1964, -5*w^2 + 4*w + 44]', '[1964, 1964, 10*w^2 - 11*w - 88]', '[1964, 1964, -3*w^2 - 15*w + 8]', '[1973, 1973, -5*w^2 + 2*w - 1]', '[1973, 1973, 7*w - 15]', '[1973, 1973, 14*w^2 - 46*w + 19]', '[1977, 1977, -2*w^2 + 5*w + 19]', '[1977, 1977, 13*w^2 - 4*w - 93]', '[1978, 1978, 7*w^2 - 5*w - 58]', '[1978, 1978, -23*w^2 + 9*w + 162]', '[1978, 1978, w^2 - 10*w + 2]', '[1982, 1982, 2*w^2 - 5*w - 14]', '[1982, 1982, w^2 - 18]', '[1982, 1982, 5*w^2 - 4*w - 26]', '[1984, 124, -4*w^2 + 8*w + 4]', '[1984, 248, -w^2 + 13*w - 5]', '[1984, 496, 6*w + 8]', '[1984, 1984, -7*w^2 + 3*w + 44]', '[1986, 1986, w^2 - 2*w - 18]', '[1986, 1986, -12*w^2 + 5*w + 82]', '[1987, 1987, 5*w^2 - 8*w + 1]', '[1991, 1991, -6*w - 7]', '[1992, 498, 4*w^2 - 4*w - 2]', '[1992, 498, -2*w + 14]', '[1992, 1992, 3*w^2 - 8*w - 8]', '[1992, 1992, -6*w^2 - w + 52]', '[1994, 1994, -w^2 + 3*w - 10]', '[1996, 998, -11*w^2 + 3*w + 79]', '[1996, 1996, -15*w^2 + 11*w + 120]', '[1997, 1997, -8*w^2 + 29*w - 19]', '[1998, 222, -3*w^2 + 6*w - 6]', '[1998, 666, -4*w^2 + 5*w + 14]', '[1998, 666, -17*w^2 + 6*w + 122]', '[1998, 1998, 3*w^2 - 5*w - 26]', '[1999, 1999, 6*w^2 - 47]', '[2000, 20, 10*w^2 - 60]', '[2000, 20, 5*w^2 - 5*w - 35]', '[2000, 80, -5*w^2]', '[2003, 2003, -5*w^2 + 22*w - 13]', '[2003, 2003, 2*w^2 - 6*w - 9]', '[2003, 2003, 12*w^2 - w - 75]', '[2004, 1002, -w^2 + 7*w + 21]', '[2004, 1002, -w^2 + 11*w - 9]', '[2004, 1002, w^2 + 5*w - 17]', '[2004, 1002, -w^2 + 7*w + 3]', '[2004, 1002, -3*w^2 + 7*w + 11]', '[2004, 1002, -11*w^2 + 41*w - 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62*w + 16]', '[9864, 3288, -59*w^2 + 30*w + 416]', '[9864, 9864, 11*w^2 - 13*w - 60]', '[9864, 9864, 11*w^2 + w - 100]', '[9864, 9864, -13*w^2 + 2*w + 96]', '[9866, 9866, 14*w^2 - 19*w - 134]', '[9868, 4934, -3*w^2 - 11*w - 15]', '[9868, 9868, 13*w^2 - w - 88]', '[9869, 9869, -2*w^2 + 8*w - 19]', '[9869, 9869, 11*w^2 - 6*w - 67]', '[9869, 9869, 16*w^2 - 66*w + 33]', '[9871, 9871, 8*w^2 - 48*w + 23]', '[9873, 3291, -8*w^2 + 9*w + 65]', '[9873, 3291, 10*w^2 - 11*w + 1]', '[9873, 9873, 6*w^2 + 10*w - 23]', '[9874, 9874, 6*w^2 - 25*w + 6]', '[9876, 4938, 21*w^2 - 13*w - 157]', '[9876, 4938, -7*w^2 + 7*w + 3]', '[9876, 9876, -3*w^2 + 23*w - 16]', '[9876, 9876, -5*w^2 + 14*w + 12]', '[9879, 9879, -14*w^2 + 11*w + 109]', '[9879, 9879, -17*w^2 - 22*w + 19]', '[9879, 9879, -4*w^2 - 17*w + 15]', '[9879, 9879, 18*w^2 - 67*w + 29]', '[9879, 9879, 8*w^2 - 5*w - 3]', '[9879, 9879, -6*w^2 - 8*w - 1]', '[9883, 9883, -12*w^2 + 27*w - 13]', '[9886, 9886, 41*w^2 - 24*w - 310]', '[9888, 1236, -6*w^2 - 2*w - 2]', '[9888, 1236, -6*w^2 + 2*w + 22]', '[9888, 2472, 2*w^2 + 16*w + 24]', '[9888, 2472, 2*w^2 + 8*w - 24]', '[9888, 9888, -20*w^2 + 5*w + 132]', '[9888, 9888, -w^2 - 10*w - 24]', '[9892, 4946, 15*w^2 - 45*w + 17]', '[9892, 9892, -w^2 - 16*w + 4]', '[9897, 9897, 14*w^2 - 10*w - 99]', '[9897, 9897, -28*w^2 + 4*w + 183]', '[9899, 9899, 6*w^2 - w - 21]', '[9901, 9901, 6*w^2 - 2*w - 9]', '[9901, 9901, 8*w^2 - 2*w - 71]', '[9901, 9901, 6*w^2 - 19]', '[9902, 9902, 10*w^2 - 27*w + 6]', '[9904, 2476, 6*w^2 + 12*w - 20]', '[9904, 2476, -5*w^2 + 13*w - 13]', '[9904, 9904, 4*w^2 - 3*w - 44]', '[9907, 9907, 4*w^2 - 10*w - 19]', '[9907, 9907, 6*w^2 + 8*w - 27]', '[9907, 9907, 6*w^2 - 6*w - 19]', '[9908, 4954, 3*w^2 + 9*w - 19]', '[9908, 9908, 5*w^2 - 52]', '[9914, 9914, 8*w^2 + 3*w - 34]', '[9917, 9917, 10*w^2 - 77]', '[9923, 9923, -14*w^2 + 6*w + 91]', '[9924, 4962, 33*w^2 - 7*w - 221]', '[9924, 4962, -17*w^2 + 11*w + 121]', '[9924, 9924, -29*w^2 + 8*w + 196]', '[9924, 9924, -3*w^2 - 16*w + 4]', '[9927, 3309, -10*w^2 - 3*w + 49]', '[9927, 3309, -4*w^2 - 31*w + 17]', '[9927, 9927, -8*w^2 - 16*w + 1]', '[9929, 9929, -8*w^2 - 5*w + 29]', '[9929, 9929, 4*w^2 - 17*w - 1]', '[9929, 9929, 6*w^2 + 3*w - 49]', '[9931, 9931, -16*w^2 + 3*w + 111]', '[9936, 276, -6*w^2 + 12]', '[9936, 276, -9*w^2 + 33*w - 9]', '[9936, 828, -10*w^2 - 6*w + 4]', '[9936, 828, 5*w^2 + 11*w - 19]', '[9936, 828, 4*w^2 - 2*w - 44]', '[9936, 828, 31*w^2 - 15*w - 217]', '[9936, 1104, -6*w^2 + 9*w + 36]', '[9936, 2484, -14*w^2 - 2*w + 84]', '[9936, 2484, -5*w^2 + w + 51]', '[9936, 3312, w^2 + 12*w - 16]', '[9936, 3312, 23*w^2 - 7*w - 172]', '[9936, 9936, w^2 + 25*w - 12]', '[9937, 9937, 9*w^2 - 36*w + 13]', '[9938, 9938, 3*w^2 - 3*w - 38]', '[9939, 9939, -2*w^2 + 23*w - 9]', '[9939, 9939, 16*w^2 - 5*w - 105]', '[9941, 9941, 16*w^2 - 10*w - 127]', '[9942, 9942, 4*w^2 + 5*w + 6]', '[9942, 9942, 48*w^2 - 17*w - 338]', '[9944, 2486, -12*w^2 - 18*w + 10]', '[9944, 9944, 4*w^2 + 9*w - 20]', '[9946, 9946, -5*w^2 - 9*w + 22]', '[9948, 4974, -19*w^2 + w + 117]', '[9948, 4974, 7*w^2 - w - 65]', '[9948, 9948, 16*w^2 - w - 104]', '[9948, 9948, 8*w^2 + w]', '[9951, 9951, 36*w^2 - 19*w - 265]', '[9951, 9951, -4*w^2 - 16*w + 3]', '[9951, 9951, 6*w^2 - 19*w - 5]', '[9951, 9951, -6*w^2 + 5*w + 7]', '[9951, 9951, -6*w^2 - 5*w + 35]', '[9951, 9951, 6*w^2 - 32*w + 19]', '[9952, 1244, 6*w^2 + 14*w - 18]', '[9952, 1244, 2*w^2 - 10*w + 22]', '[9952, 1244, -2*w^2 - 6*w - 14]', '[9952, 2488, 2*w^2 - 2*w - 32]', '[9952, 2488, -6*w^2 - 6*w + 32]', '[9952, 2488, 10*w^2 - 72]', '[9952, 9952, 17*w^2 - 4*w - 128]', '[9952, 9952, -13*w^2 + 6*w + 104]', '[9952, 9952, 13*w^2 - 54*w + 24]', '[9956, 4978, 7*w^2 - 13*w - 13]', '[9956, 9956, 2*w^2 - 9*w - 24]', '[9957, 9957, 13*w + 1]', '[9957, 9957, 3*w^2 + 14*w + 1]', '[9957, 9957, -7*w^2 + 8*w + 27]', '[9957, 9957, 5*w^2 + 4*w - 39]', '[9957, 9957, 16*w^2 - 4*w - 129]', '[9957, 9957, 47*w^2 - 16*w - 327]', '[9966, 9966, -11*w^2 + 50*w - 26]', '[9966, 9966, -8*w^2 + 29*w - 6]', '[9969, 9969, 7*w^2 - 14*w - 9]', '[9969, 9969, -6*w^2 + 11*w + 67]', '[9969, 9969, 44*w^2 - 22*w - 321]', '[9969, 9969, 8*w^2 - 7*w - 39]', '[9969, 9969, w^2 + 8*w + 21]', '[9969, 9969, -6*w^2 + 8*w + 7]', '[9972, 1662, w^2 - 15*w + 17]', '[9972, 1662, -5*w^2 - 17*w - 5]', '[9972, 3324, 11*w^2 - w - 64]', '[9972, 3324, 4*w^2 + 9*w + 8]', '[9972, 4986, 3*w^2 - 29*w + 13]', '[9972, 9972, 15*w^2 + 22*w - 20]', '[9974, 9974, -6*w^2 - 3*w + 46]', '[9977, 9977, -8*w^2 - 12*w + 3]', '[9978, 9978, 10*w^2 - 13*w + 6]', '[9978, 9978, 12*w^2 + 5*w - 58]', '[9978, 9978, -22*w^2 + 13*w + 162]', '[9978, 9978, 10*w^2 + w - 66]', '[9978, 9978, 7*w^2 + 4*w - 42]', '[9978, 9978, 8*w^2 + 31*w - 18]', '[9981, 3327, -7*w^2 + 31]', '[9981, 3327, 5*w^2 - 46*w + 23]', '[9981, 3327, -17*w^2 + 28*w - 11]', '[9981, 3327, -5*w^2 - 6*w + 29]', '[9981, 3327, 4*w^2 - 27*w + 17]', '[9981, 3327, 5*w^2 - 16*w - 7]', '[9981, 9981, 14*w^2 - 7*w - 111]', '[9981, 9981, -4*w^2 - 17*w + 5]', '[9981, 9981, -6*w^2 - 7*w - 1]', '[9993, 9993, 7*w^2 - 4*w - 33]', '[9993, 9993, 4*w^2 - w + 7]', '[9994, 9994, -6*w^2 + 3*w + 22]'], 'label': '3.3.1509.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w^2 + 6]', '[3, 3, -2*w^2 + w + 15]', '[3, 3, w - 1]', '[4, 2, -w^2 + 3*w - 1]', '[11, 11, w + 3]', '[19, 19, -w^2 + 5]', '[23, 23, -2*w^2 + 2*w + 17]', '[31, 31, -w^2 + 2*w + 1]', '[37, 37, 2*w^2 - 13]', '[43, 43, 5*w^2 - 2*w - 35]', '[43, 43, 3*w - 1]', '[43, 43, 2*w - 3]', '[47, 47, w^2 - 3]', '[59, 59, -3*w^2 + 2*w + 21]', '[71, 71, 2*w + 3]', '[71, 71, 3*w^2 - 19]', '[71, 71, 4*w^2 - 13*w + 5]', '[83, 83, 2*w^2 - 15]', '[89, 89, -w^2 - 1]', '[89, 89, 2*w^2 - 4*w + 1]', '[89, 89, -4*w + 3]', '[103, 103, 2*w^2 - 5*w + 1]', '[107, 107, -2*w^2 + w + 17]', '[107, 107, -2*w^2 + 9*w - 5]', '[107, 107, 2*w^2 + w - 11]', '[109, 109, 3*w^2 - 8*w + 3]', '[113, 113, -2*w^2 + 2*w - 1]', '[121, 11, -w^2 + 4*w - 5]', '[125, 5, -5]', '[127, 127, w^2 - 11]', '[131, 131, 2*w^2 - w - 11]', '[137, 137, -w^2 + 2*w + 7]', '[137, 137, 3*w - 7]', '[137, 137, 2*w^2 - 3*w - 7]', '[139, 139, -2*w^2 + 6*w + 1]', '[151, 151, 2*w^2 - 3*w - 19]', '[157, 157, 3*w - 5]', '[163, 163, 2*w^2 - 7*w + 1]', '[167, 167, -3*w - 1]', '[167, 167, 4*w^2 - 14*w + 5]', '[167, 167, 3*w^2 - 12*w + 5]', '[173, 173, -3*w^2 + 12*w - 7]', '[181, 181, w^2 - 4*w - 1]', '[193, 193, -w^2 - 2*w + 13]', '[197, 197, -3*w^2 + 17]', '[211, 211, -4*w^2 + 3*w + 27]', '[223, 223, w^2 - 6*w + 7]', '[223, 223, 3*w + 5]', '[223, 223, 2*w^2 - 9]', '[233, 233, 2*w^2 - 19]', '[241, 241, w^2 + 2*w - 7]', '[257, 257, -8*w^2 + 29*w - 13]', '[263, 263, -7*w^2 + 2*w + 49]', '[271, 271, w^2 - 2*w - 13]', '[271, 271, -w^2 + 8*w - 5]', '[271, 271, 3*w^2 - 23]', '[277, 277, 2*w^2 + w - 5]', '[281, 281, 2*w^2 - 3*w - 1]', '[293, 293, 4*w^2 - 12*w + 3]', '[307, 307, -7*w^2 + 24*w - 9]', '[311, 311, 4*w^2 - 3*w - 29]', '[311, 311, -4*w^2 + w + 25]', '[311, 311, -2*w^2 + 13*w - 7]', '[313, 313, 2*w^2 - 3]', '[317, 317, 2*w^2 - 9*w + 3]', '[331, 331, 3*w^2 + 2*w - 15]', '[337, 337, 2*w^2 - 6*w + 5]', '[343, 7, -7]', '[347, 347, 2*w - 9]', '[347, 347, -4*w + 9]', '[347, 347, 2*w^2 + w - 17]', '[349, 349, -w^2 - 3]', '[353, 353, w^2 - 6*w + 1]', '[353, 353, 2*w^2 - 4*w - 23]', '[353, 353, -2*w^2 + 5*w + 5]', '[361, 19, 2*w^2 - 3*w - 3]', '[379, 379, -4*w^2 + 23]', '[379, 379, 4*w^2 - 2*w - 25]', '[379, 379, -4*w^2 + 6*w + 39]', '[383, 383, 3*w - 11]', '[389, 389, 8*w^2 - 3*w - 55]', '[401, 401, 4*w^2 - 16*w + 11]', '[409, 409, 2*w^2 + 2*w - 11]', '[421, 421, 2*w^2 - 2*w - 5]', '[421, 421, -6*w^2 + 4*w + 45]', '[421, 421, 6*w - 5]', '[439, 439, -2*w^2 + 3*w + 13]', '[443, 443, 2*w^2 - w - 5]', '[457, 457, -4*w^2 + 27]', '[487, 487, 3*w^2 - 4*w - 27]', '[491, 491, -11*w^2 + 6*w + 81]', '[491, 491, -2*w^2 - w - 1]', '[491, 491, 2*w^2 - 8*w + 1]', '[499, 499, 2*w^2 - 7*w + 7]', '[503, 503, -2*w^2 + 3*w + 15]', '[503, 503, -2*w^2 + 3*w - 3]', '[509, 509, 5*w^2 - 6*w - 45]', '[521, 521, -w^2 + 2*w - 5]', '[523, 523, 8*w^2 - 2*w - 53]', '[529, 23, 6*w^2 - 22*w + 9]', '[541, 541, -2*w^2 - 2*w - 1]', '[557, 557, 10*w^2 - 2*w - 67]', '[569, 569, -6*w^2 + 3*w + 47]', '[571, 571, -w^2 + 12*w - 7]', '[577, 577, -2*w^2 + 11*w - 7]', '[587, 587, -7*w^2 + 24*w - 13]', '[599, 599, -4*w^2 + 12*w - 7]', '[607, 607, 6*w - 1]', '[607, 607, w^2 + 6*w + 7]', '[607, 607, -2*w - 9]', '[613, 613, 3*w^2 - 2*w - 15]', '[619, 619, 2*w^2 - 12*w + 5]', '[641, 641, w^2 + 4*w - 7]', '[643, 643, -6*w^2 + 15*w - 7]', '[647, 647, 4*w^2 - 29]', '[653, 653, 4*w^2 + 5*w - 7]', '[659, 659, 8*w - 3]', '[691, 691, 2*w^2 - 21]', '[691, 691, 4*w^2 - 2*w - 1]', '[691, 691, 6*w^2 - 2*w - 39]', '[701, 701, 3*w^2 + 2*w - 9]', '[709, 709, -3*w^2 + 2*w + 27]', '[719, 719, 5*w^2 - 4*w - 29]', '[733, 733, -w^2 + 4*w + 13]', '[743, 743, -w - 9]', '[743, 743, 7*w^2 - 26*w + 11]', '[743, 743, 8*w^2 - 6*w - 63]', '[751, 751, 5*w - 9]', '[757, 757, -4*w^2 + 6*w - 3]', '[761, 761, -8*w^2 + 5*w + 59]', '[769, 769, -w^2 - 2*w - 5]', '[787, 787, 2*w^2 - 4*w - 11]', '[797, 797, -7*w^2 + 4*w + 55]', '[823, 823, 6*w^2 + 2*w - 33]', '[827, 827, -4*w^2 - w + 25]', '[829, 829, 3*w^2 - 13]', '[839, 839, w^2 - 15]', '[853, 853, -3*w^2 + 14*w - 9]', '[853, 853, 6*w^2 - w - 45]', '[853, 853, 2*w^2 + w - 23]', '[857, 857, 2*w^2 - 5*w - 23]', '[859, 859, 3*w^2 - 6*w - 11]', '[877, 877, 6*w^2 + w - 33]', '[881, 881, -3*w^2 + 16*w - 9]', '[883, 883, -5*w^2 + 20*w - 13]', '[883, 883, -5*w^2 + 2*w + 41]', '[883, 883, 2*w^2 + 2*w - 17]', '[887, 887, 10*w^2 - 3*w - 71]', '[907, 907, -3*w^2 + 4*w - 3]', '[929, 929, 6*w^2 - 5*w - 39]', '[929, 929, -4*w^2 + 21]', '[929, 929, w^2 + 10*w - 7]', '[937, 937, -4*w^2 + 4*w + 31]', '[941, 941, -5*w - 9]', '[953, 953, -5*w - 3]', '[961, 31, 4*w^2 + w - 19]', '[967, 967, -w^2 - 6*w - 1]', '[971, 971, 4*w^2 - 23*w + 11]', '[977, 977, 7*w^2 + 2*w - 37]', '[991, 991, -4*w^2 + 17*w - 11]', '[991, 991, 6*w^2 - 18*w + 5]', '[991, 991, -6*w^2 + 22*w - 15]', '[997, 997, 11*w^2 - 36*w + 15]']}
46. label: 3.3.1524.1
    {'degree': 3, 'discriminant': 1524, 'ideals': ['[1, 1, 1]', '[2, 2, -w^2 + 3*w]', '[3, 3, -w^2 - w + 3]', '[3, 3, w + 2]', '[4, 2, -w^2 + 5]', '[6, 6, w + 1]', '[6, 6, -w + 1]', '[7, 7, 2*w^2 - 6*w - 1]', '[8, 2, 2]', '[9, 3, -2*w^2 + 7*w - 2]', '[9, 3, w^2 - 3*w - 1]', '[9, 9, w - 2]', '[11, 11, -w^2 + 2*w + 4]', '[12, 6, w^2 - 2*w - 3]', '[12, 6, -w^2 + 4*w - 3]', '[14, 14, w + 3]', '[16, 4, -2*w^2 + 6*w]', '[17, 17, -w^2 + 4*w - 2]', '[18, 6, -w^2 - w + 2]', '[18, 6, w^2 + 3*w + 2]', '[18, 18, w^2 - 5*w + 6]', '[19, 19, w^2 - 6]', '[19, 19, -w^2 - 3*w - 1]', '[19, 19, 3*w^2 - 9*w - 1]', '[21, 21, w^2 - w - 5]', '[21, 21, w - 4]', '[22, 22, -3*w - 7]', '[24, 6, -2*w^2 - 2*w + 6]', '[24, 6, 2*w + 4]', '[27, 3, 3]', '[27, 9, w^2 - 4]', '[27, 9, w^2 - 2*w - 2]', '[27, 27, -2*w - 5]', '[28, 14, -w^2 + 2*w + 1]', '[32, 4, -2*w^2 + 10]', '[33, 33, -2*w - 1]', '[33, 33, w^2 + 2*w - 2]', '[34, 34, -2*w^2 - 3*w + 3]', '[36, 6, w^2 - 2*w - 5]', '[36, 6, w^2 - 7]', '[36, 18, w^2 - 2*w - 9]', '[38, 38, w^2 - 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w - 10]', '[171, 171, 4*w^2 + w - 18]', '[171, 171, -2*w^2 - 2*w + 3]', '[171, 171, -w^2 + w + 11]', '[172, 86, 3*w^2 - 8*w - 3]', '[173, 173, 2*w^2 - 6*w - 3]', '[173, 173, w^2 - 3*w - 5]', '[173, 173, -3*w - 8]', '[176, 44, -6*w - 14]', '[179, 179, w^2 - 5*w - 1]', '[181, 181, 4*w^2 - 11*w - 4]', '[187, 187, -5*w^2 - 12*w - 2]', '[188, 94, 5*w^2 + 4*w - 17]', '[189, 21, -6*w^2 + 18*w + 3]', '[189, 63, w^2 - 6*w + 8]', '[189, 63, w^2 - 5*w - 17]', '[189, 189, -2*w^2 + 4*w + 9]', '[191, 191, 5*w^2 - 15*w - 1]', '[192, 12, -4*w^2 - 4*w + 12]', '[192, 12, 4*w + 8]', '[193, 193, w^2 + 3*w - 3]', '[194, 194, w^2 - 5*w - 16]', '[196, 14, w^2 - 4*w + 5]', '[196, 98, w^2 + 6*w + 9]', '[197, 197, 7*w^2 + 13*w - 7]', '[198, 66, -w^2 + 3*w + 10]', '[198, 66, -w^2 - w + 8]', '[198, 198, -3*w^2 - w + 14]', '[201, 201, 2*w^2 + w - 6]', '[201, 201, -w^2 - 5*w - 7]', '[204, 102, -7*w^2 - 14*w + 5]', '[204, 102, w^2 - 4*w - 15]', '[206, 206, -5*w^2 - 9*w + 6]', '[206, 206, w^2 + w - 10]', '[206, 206, -3*w^2 + 11*w - 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8*w + 18]', '[1923, 1923, -w^2 - 8*w + 36]', '[1923, 1923, 4*w^2 - 14*w + 9]', '[1923, 1923, -8*w^2 + 10*w + 45]', '[1923, 1923, -10*w^2 + 28*w + 9]', '[1923, 1923, -13*w^2 + 40*w]', '[1926, 642, 4*w^2 - 15*w + 11]', '[1926, 642, -14*w^2 + 43*w + 1]', '[1926, 1926, -4*w^2 + 7*w + 11]', '[1927, 1927, 5*w^2 - 2*w - 26]', '[1928, 482, 2*w^2 - 6*w - 18]', '[1929, 1929, 3*w^2 - w - 31]', '[1929, 1929, 3*w^2 - 16*w + 22]', '[1929, 1929, 6*w^2 - 11*w - 22]', '[1929, 1929, 16*w^2 + 22*w - 33]', '[1929, 1929, -6*w^2 + 10*w + 25]', '[1929, 1929, -3*w^2 - 16*w - 20]', '[1931, 1931, 13*w^2 - 41*w - 1]', '[1933, 1933, -7*w - 6]', '[1934, 1934, 22*w^2 - 71*w + 5]', '[1936, 44, 4*w^2 - 6*w - 14]', '[1936, 484, 2*w^2 + 6*w + 8]', '[1938, 1938, -2*w^2 + 7*w + 9]', '[1938, 1938, 6*w^2 + 7*w - 17]', '[1938, 1938, 2*w^2 - 11*w + 9]', '[1938, 1938, -7*w - 11]', '[1938, 1938, 4*w^2 - w - 17]', '[1938, 1938, w - 13]', '[1939, 1939, 6*w^2 - w - 36]', '[1942, 1942, -38*w^2 + 123*w - 15]', '[1944, 18, 12*w^2 - 42*w + 12]', '[1944, 18, -6*w^2 + 18*w + 6]', '[1944, 54, 8*w^2 + 8*w - 22]', '[1944, 54, -6*w + 12]', '[1944, 162, -2*w^2 + 6*w + 14]', '[1944, 486, -4*w^2 - 2*w + 20]', '[1946, 1946, w^2 - 3*w - 18]', '[1948, 974, -3*w^2 - 2*w + 33]', '[1949, 1949, w^2 + 4*w - 16]', '[1951, 1951, 6*w - 11]', '[1954, 1954, 2*w^2 + 5*w + 7]', '[1957, 1957, -10*w^2 + 36*w - 13]', '[1957, 1957, -9*w^2 + 10*w + 66]', '[1957, 1957, -3*w^2 + 7*w + 15]', '[1957, 1957, 7*w^2 - 31*w + 29]', '[1957, 1957, 8*w^2 + 9*w - 22]', '[1957, 1957, 6*w^2 + 3*w - 26]', '[1957, 1957, 5*w^2 - 12*w - 6]', '[1957, 1957, -5*w^2 - 5*w + 17]', '[1957, 1957, 5*w^2 - 3*w - 27]', '[1959, 1959, -6*w^2 + 10*w + 55]', '[1959, 1959, -7*w^2 + 4*w + 42]', '[1962, 654, -2*w^2 - 21*w - 37]', '[1962, 654, 8*w^2 + 5*w - 31]', '[1962, 1962, 14*w^2 - 17*w - 85]', '[1964, 982, 5*w^2 - 6*w - 43]', '[1964, 982, 5*w^2 - 6*w - 25]', '[1964, 982, w^2 + 4*w - 13]', '[1966, 1966, -2*w^2 + 7*w + 23]', '[1967, 1967, -w^2 - 8*w - 8]', '[1967, 1967, 2*w^2 - 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10*w + 21]', '[9874, 9874, 11*w - 27]', '[9874, 9874, 12*w^2 + w - 57]', '[9874, 9874, 4*w^2 + w - 49]', '[9875, 395, 5*w^2 - 15*w - 15]', '[9875, 395, -5*w^2 + 25*w - 25]', '[9875, 395, 30*w^2 - 15*w - 190]', '[9876, 4938, -w^2 - 8*w - 21]', '[9876, 4938, 21*w^2 - 10*w - 133]', '[9876, 4938, 5*w^2 - 26*w + 35]', '[9876, 4938, 13*w^2 - 16*w - 99]', '[9876, 4938, -27*w^2 + 80*w + 13]', '[9876, 4938, 11*w^2 + 10*w - 31]', '[9878, 9878, 16*w^2 - 35*w - 49]', '[9881, 9881, 3*w^2 + 10*w - 12]', '[9884, 4942, 7*w^2 + 22*w + 17]', '[9886, 9886, -11*w^2 - 7*w + 38]', '[9888, 1236, 6*w^2 - 4*w - 22]', '[9888, 1236, -18*w^2 + 40*w + 50]', '[9888, 1236, -38*w^2 - 76*w + 22]', '[9888, 1236, -2*w^2 + 8*w - 18]', '[9888, 1236, 2*w^2 - 20*w - 54]', '[9888, 1236, -6*w^2 - 4*w + 74]', '[9891, 3297, 4*w^2 - 21*w + 20]', '[9891, 3297, -19*w^2 + 59*w + 5]', '[9891, 3297, -10*w^2 + 9*w + 82]', '[9891, 3297, -11*w^2 + 13*w + 61]', '[9891, 3297, -4*w^2 - 3*w + 34]', '[9891, 3297, -7*w^2 + 17*w + 23]', '[9891, 9891, -5*w^2 + 13*w + 21]', '[9891, 9891, 6*w^2 + 10*w - 17]', '[9891, 9891, -5*w^2 + 11*w + 43]', '[9894, 9894, -29*w^2 - 65*w]', '[9894, 9894, -12*w^2 - 5*w + 53]', '[9897, 9897, -3*w^2 + 28*w + 80]', '[9897, 9897, -32*w^2 - 22*w + 115]', '[9899, 9899, 14*w + 27]', '[9899, 9899, -17*w^2 + 11*w + 119]', '[9899, 9899, -26*w^2 + 70*w + 35]', '[9902, 9902, -31*w^2 + 97*w - 2]', '[9903, 9903, 15*w^2 - 7*w - 97]', '[9903, 9903, 10*w^2 - 13*w - 72]', '[9904, 2476, 6*w^2 + 2*w - 36]', '[9908, 4954, -3*w^2 + 18*w - 19]', '[9921, 9921, 9*w^2 - 8*w - 50]', '[9921, 9921, 2*w^2 + 4*w - 39]', '[9922, 902, -5*w^2 + 13*w - 10]', '[9922, 9922, 7*w^2 + 3*w - 36]', '[9923, 9923, -2*w^2 - 6*w - 15]', '[9926, 9926, -3*w^2 - 9*w - 14]', '[9926, 9926, 38*w^2 - 133*w + 43]', '[9926, 9926, 2*w^2 + w + 13]', '[9927, 3309, -13*w^2 + 15*w + 91]', '[9927, 3309, -8*w^2 + w + 70]', '[9927, 9927, -18*w^2 + 11*w + 122]', '[9931, 9931, 6*w^2 - 15*w - 62]', '[9931, 9931, 2*w^2 - 18*w - 49]', '[9931, 9931, 17*w^2 - 3*w - 93]', '[9933, 9933, w^2 + 13*w + 9]', '[9933, 9933, -13*w + 10]', '[9939, 9939, w^2 - 11*w - 15]', '[9939, 9939, 15*w^2 + w - 77]', '[9939, 9939, 11*w - 14]', '[9939, 9939, -12*w^2 + 5*w + 98]', '[9939, 9939, 6*w^2 - 13*w - 56]', '[9939, 9939, -15*w^2 + 25*w + 71]', '[9941, 9941, 14*w^2 - 44*w - 5]', '[9942, 9942, 10*w^2 + 7*w - 39]', '[9942, 9942, 2*w^2 - 11*w - 27]', '[9944, 2486, 10*w^2 + 2*w - 106]', '[9948, 4974, 3*w^2 - 20*w + 29]', '[9948, 4974, -7*w^2 + 14*w + 33]', '[9949, 9949, 4*w^2 + 3*w - 36]', '[9954, 3318, -16*w^2 + 45*w + 13]', '[9954, 3318, 17*w^2 + 11*w - 64]', '[9954, 3318, 4*w^2 - 15*w + 17]', '[9954, 3318, -16*w^2 + 47*w + 5]', '[9954, 3318, -26*w^2 + 15*w + 167]', '[9954, 3318, -16*w^2 + 17*w + 125]', '[9954, 9954, 2*w^2 - 13*w + 27]', '[9954, 9954, -6*w^2 + 7*w + 19]', '[9954, 9954, -11*w^2 - 37*w - 26]', '[9956, 4978, 7*w^2 + 24*w + 15]', '[9956, 4978, w^2 + 10*w - 13]', '[9956, 4978, w^2 + 6*w + 19]', '[9961, 9961, 3*w^2 - 12*w - 14]', '[9961, 9961, 10*w^2 - 39*w + 10]', '[9961, 9961, -4*w^2 + 10*w - 11]', '[9962, 9962, -4*w^2 - 3*w + 35]', '[9962, 9962, 12*w^2 - 45*w + 19]', '[9962, 9962, -18*w^2 - 45*w - 11]', '[9963, 369, -15*w^2 + 57*w - 33]', '[9963, 369, 12*w^2 - 27*w - 30]', '[9963, 1107, 3*w^2 + 3*w - 45]', '[9963, 1107, -7*w^2 + 20*w + 80]', '[9963, 3321, 10*w^2 - 9*w - 58]', '[9963, 9963, 9*w^2 - 11*w - 77]', '[9966, 9966, 2*w^2 + 7*w - 19]', '[9966, 9966, 6*w^2 - 19*w - 11]', '[9969, 9969, 5*w^2 - 14*w - 54]', '[9969, 9969, 16*w^2 + 4*w - 75]', '[9972, 1662, -35*w^2 - 68*w + 25]', '[9972, 1662, -11*w^2 + 24*w + 29]', '[9972, 4986, -3*w^2 - 2*w + 43]', '[9973, 9973, 7*w^2 + 5*w - 31]', '[9978, 9978, -2*w^2 + 5*w - 15]', '[9978, 9978, 6*w^2 - w - 19]', '[9979, 9979, -9*w^2 + 3*w + 71]', '[9983, 9983, 20*w^2 - 71*w + 28]', '[9986, 9986, -w^2 + 5*w - 20]', '[9987, 9987, 8*w^2 - 29*w + 18]', '[9987, 9987, 15*w^2 - 2*w - 80]', '[9987, 9987, -3*w^2 - 5*w - 11]', '[9987, 9987, -7*w^2 + 13*w + 17]', '[9987, 9987, 6*w^2 - 10*w - 59]', '[9987, 9987, 6*w^2 - 7*w - 8]', '[9988, 4994, -5*w^2 - 2*w + 47]', '[9989, 9989, 13*w^2 - 9*w - 81]', '[9991, 9991, 9*w^2 - 27*w - 107]', '[9991, 9991, -9*w^2 + 36*w - 20]', '[9991, 9991, 2*w^2 - 33]', '[9992, 2498, 12*w^2 - 30*w - 20]', '[9993, 9993, -w^2 - 43*w - 93]', '[9993, 9993, 18*w^2 + 7*w - 76]', '[9994, 9994, -42*w^2 + 141*w - 31]', '[9994, 9994, 12*w^2 - 47*w + 27]', '[9994, 9994, -8*w^2 + 17*w + 17]', '[9996, 714, -w^2 + 4*w - 19]', '[9996, 714, 9*w^2 - 22*w - 11]', '[9996, 4998, 25*w^2 - 86*w + 21]', '[9996, 4998, 13*w^2 + 14*w - 33]', '[9998, 9998, -10*w^2 + 35*w - 17]'], 'label': '3.3.1524.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w^2 + 3*w]', '[3, 3, -w^2 - w + 3]', '[3, 3, w + 2]', '[7, 7, 2*w^2 - 6*w - 1]', '[11, 11, -w^2 + 2*w + 4]', '[17, 17, -w^2 + 4*w - 2]', '[19, 19, w^2 - 6]', '[19, 19, -w^2 - 3*w - 1]', '[19, 19, 3*w^2 - 9*w - 1]', '[41, 41, w^2 - 8]', '[43, 43, -2*w^2 - 3*w + 4]', '[47, 47, -2*w - 3]', '[49, 7, -9*w^2 + 29*w - 3]', '[67, 67, 2*w - 3]', '[71, 71, 4*w^2 - 14*w + 5]', '[79, 79, w^2 - 3*w - 3]', '[79, 79, -w^2 + 5*w - 5]', '[79, 79, 6*w^2 - 3*w - 38]', '[97, 97, 3*w^2 - 10*w]', '[103, 103, 3*w^2 - 4*w - 24]', '[103, 103, 2*w^2 - 2*w - 11]', '[103, 103, 2*w^2 - 5*w - 2]', '[107, 107, 3*w^2 - 16]', '[109, 109, 2*w^2 - 3*w - 16]', '[113, 113, 2*w^2 - 3*w - 12]', '[121, 11, 2*w^2 - 3*w - 18]', '[125, 5, -5]', '[127, 127, 4*w^2 - 21]', '[127, 127, 2*w^2 - 9]', '[131, 131, -7*w^2 + 24*w - 6]', '[139, 139, w - 6]', '[149, 149, -w^2 + 10*w + 28]', '[151, 151, w^2 + 2*w - 4]', '[157, 157, -2*w^2 + 7*w - 4]', '[157, 157, -10*w^2 + 33*w - 6]', '[157, 157, 3*w - 8]', '[167, 167, 2*w^2 - 4*w - 5]', '[167, 167, -3*w - 4]', '[167, 167, w^2 + w - 7]', '[173, 173, 2*w^2 - 6*w - 3]', '[173, 173, w^2 - 3*w - 5]', '[173, 173, -3*w - 8]', '[179, 179, w^2 - 5*w - 1]', '[181, 181, 4*w^2 - 11*w - 4]', '[191, 191, 5*w^2 - 15*w - 1]', '[193, 193, w^2 + 3*w - 3]', '[197, 197, 7*w^2 + 13*w - 7]', '[223, 223, -5*w - 12]', '[227, 227, 3*w^2 - 5*w - 15]', '[229, 229, -2*w^2 + 13]', '[241, 241, w^2 - 3*w - 9]', '[251, 251, 9*w^2 - 28*w]', '[263, 263, -5*w^2 + 15*w + 3]', '[269, 269, 5*w^2 - 17*w + 1]', '[277, 277, 4*w^2 - 12*w - 3]', '[281, 281, -6*w^2 + 21*w - 4]', '[281, 281, -6*w - 13]', '[281, 281, 3*w^2 - 3*w - 17]', '[283, 283, -5*w^2 + 18*w - 8]', '[289, 17, 3*w^2 + 2*w - 12]', '[293, 293, -7*w^2 + 23*w - 5]', '[293, 293, 2*w^2 - 7]', '[293, 293, 4*w^2 - w - 22]', '[307, 307, -2*w^2 + 21]', '[313, 313, w^2 - 4*w - 4]', '[317, 317, 2*w^2 + 3*w - 6]', '[317, 317, 3*w^2 - 8*w - 6]', '[317, 317, 2*w^2 - w - 8]', '[331, 331, 3*w^2 - 7*w - 9]', '[337, 337, -4*w - 3]', '[349, 349, 7*w^2 - 4*w - 46]', '[353, 353, 11*w^2 - 35*w + 1]', '[359, 359, 2*w^2 - 3*w - 4]', '[359, 359, -w^2 + 7*w - 11]', '[359, 359, -2*w^2 - 8*w - 7]', '[373, 373, 5*w^2 + w - 23]', '[379, 379, 2*w^2 - 4*w - 11]', '[383, 383, -w^2 + 6*w - 6]', '[389, 389, 15*w^2 - 48*w + 4]', '[409, 409, w^2 - 6*w - 18]', '[419, 419, -4*w^2 + 15*w - 6]', '[421, 421, 2*w^2 - 4*w - 17]', '[431, 431, w^2 + 3*w - 5]', '[433, 433, 5*w^2 - 7*w - 41]', '[433, 433, 2*w^2 - 2*w - 5]', '[433, 433, -4*w^2 + 15*w - 4]', '[439, 439, 5*w^2 - w - 29]', '[443, 443, -9*w^2 + 3*w + 53]', '[449, 449, 5*w^2 - 3*w - 31]', '[461, 461, w^2 - w - 13]', '[461, 461, 4*w^2 - 7*w - 16]', '[461, 461, -3*w^2 - w + 15]', '[479, 479, 2*w^2 - 5*w - 8]', '[487, 487, -11*w^2 + 34*w + 2]', '[491, 491, 3*w^2 - 6*w - 8]', '[491, 491, -6*w^2 + 21*w - 8]', '[491, 491, -8*w^2 + 26*w - 1]', '[499, 499, 2*w^2 - 8*w - 29]', '[503, 503, 3*w^2 - 7*w - 3]', '[509, 509, -w^2 - 4]', '[521, 521, 2*w^2 - w - 20]', '[541, 541, 8*w^2 - w - 44]', '[547, 547, 12*w^2 - 38*w + 3]', '[557, 557, -17*w^2 + 57*w - 11]', '[563, 563, 5*w^2 - 2*w - 32]', '[563, 563, 6*w^2 - 22*w + 9]', '[563, 563, -2*w^2 + 5*w + 20]', '[569, 569, 3*w^2 - 6*w - 28]', '[571, 571, w^2 - 4*w - 10]', '[587, 587, 6*w^2 - 7*w - 48]', '[601, 601, 7*w^2 - 21*w + 1]', '[613, 613, -6*w^2 + 9*w + 52]', '[619, 619, 4*w^2 - 10*w - 43]', '[631, 631, -2*w - 9]', '[641, 641, 2*w^2 - 6*w - 25]', '[641, 641, 11*w^2 - 6*w - 70]', '[641, 641, -w^2 - 6*w - 10]', '[643, 643, -4*w^2 + 11*w + 46]', '[643, 643, 7*w^2 - 2*w - 40]', '[643, 643, -3*w - 10]', '[653, 653, -2*w^2 - w + 20]', '[677, 677, w^2 - 3*w - 15]', '[683, 683, w^2 + 3*w - 17]', '[683, 683, 4*w^2 - 6*w - 23]', '[683, 683, 4*w^2 + 4*w - 13]', '[691, 691, 5*w^2 - 14*w - 2]', '[709, 709, -w^2 + w - 5]', '[709, 709, 2*w^2 - 6*w + 5]', '[709, 709, 4*w^2 - 5*w - 34]', '[719, 719, 2*w^2 + w - 14]', '[727, 727, -w^2 - 8*w - 14]', '[751, 751, 3*w^2 - 6*w - 14]', '[769, 769, -8*w^2 + 12*w + 69]', '[773, 773, 3*w^2 - 4*w - 12]', '[797, 797, 8*w^2 - 28*w + 7]', '[809, 809, 10*w^2 - 31*w + 2]', '[823, 823, -13*w^2 + 44*w - 8]', '[823, 823, 9*w^2 - 26*w - 6]', '[823, 823, 3*w^2 - 5*w - 9]', '[829, 829, 2*w^2 + 2*w - 11]', '[853, 853, -12*w^2 + 40*w - 9]', '[859, 859, 4*w - 15]', '[877, 877, -w^2 + 4*w - 8]', '[877, 877, 3*w^2 + w - 9]', '[877, 877, 3*w^2 - 3*w - 13]', '[911, 911, w^2 - 5*w - 13]', '[929, 929, 8*w^2 - 24*w - 1]', '[929, 929, -16*w^2 + 50*w + 1]', '[929, 929, -w^2 + 3*w - 7]', '[937, 937, -3*w^2 + 26]', '[941, 941, w^2 - 5*w - 7]', '[947, 947, 4*w^2 - 12*w - 5]', '[947, 947, 10*w^2 - 30*w - 3]', '[947, 947, -5*w^2 + 17*w - 7]', '[953, 953, 2*w^2 - 9*w - 30]', '[967, 967, 5*w - 12]', '[971, 971, 5*w^2 - 8*w - 26]', '[977, 977, 15*w^2 - 48*w + 2]', '[983, 983, -18*w^2 + 59*w - 6]', '[991, 991, 6*w^2 - 23*w + 12]', '[997, 997, 4*w^2 + w - 16]']}
47. label: 3.3.1556.1
    {'degree': 3, 'discriminant': 1556, 'ideals': ['[1, 1, 1]', '[2, 2, w - 1]', '[3, 3, w - 2]', '[4, 2, -w^2 + 9]', '[6, 6, w^2 + w - 6]', '[8, 2, 2]', '[9, 3, w^2 + w - 7]', '[9, 9, -w^2 + 10]', '[11, 11, w]', '[11, 11, -2*w + 3]', '[11, 11, -w^2 + 3*w - 1]', '[12, 6, w^2 - 7]', '[16, 4, 2*w - 2]', '[17, 17, w + 2]', '[17, 17, -2*w + 5]', '[17, 17, -w^2 - w + 5]', '[18, 6, w^2 + w - 4]', '[18, 18, w + 1]', '[22, 22, -w^2 + 3*w]', '[22, 22, -2*w^2 - w + 17]', '[22, 22, -w^2 - w + 8]', '[23, 23, w - 4]', '[24, 6, 2*w - 4]', '[27, 3, 3]', '[27, 27, w^2 + w - 9]', '[29, 29, w^2 - 6]', '[31, 31, w^2 - w - 1]', '[32, 4, -2*w^2 + 18]', '[33, 33, -w - 4]', '[33, 33, w^2 - 2*w]', '[33, 33, -w^2 - 2*w + 2]', '[34, 34, -w^2 + w + 6]', '[34, 34, -2*w^2 - w + 15]', '[34, 34, -w^2 + w + 4]', '[36, 6, w^2 - 2*w - 1]', '[36, 18, -w^2 + 2*w + 3]', '[37, 37, -w^2 - 2*w + 6]', '[43, 43, w^2 - 3*w + 3]', '[44, 22, -w^2 + 11]', '[44, 22, -w^2 + 5]', '[44, 22, -w^2 + 3]', '[46, 46, w^2 - 5*w + 4]', '[47, 47, 3*w^2 - 28]', '[48, 12, 2*w^2 + 2*w - 12]', '[51, 51, w^2 - 4]', '[51, 51, -2*w + 1]', '[51, 51, -w^2 - 3*w + 1]', '[53, 53, w^2 - w - 3]', '[54, 6, 3*w - 3]', '[54, 54, w^2 - w - 2]', '[58, 58, 3*w - 5]', '[61, 61, -5*w + 6]', '[62, 62, 3*w^2 + w - 24]', '[64, 4, 4]', '[66, 66, w^2 + w - 12]', '[66, 66, 2*w^2 + 3*w - 11]', '[66, 66, w - 5]', '[68, 34, w^2 - 4*w + 5]', '[68, 34, -w^2 - 2*w + 7]', '[68, 34, -3*w^2 - 2*w + 23]', '[69, 69, w^2 - 6*w + 8]', '[71, 71, w^2 - w - 7]', '[72, 6, 2*w^2 + 2*w - 14]', '[72, 18, -2*w^2 + 20]', '[74, 74, -2*w^2 - w + 5]', '[81, 9, w^2 - 2*w + 2]', '[81, 9, 3*w - 6]', '[81, 81, -2*w + 7]', '[83, 83, -2*w^2 - w + 14]', '[86, 86, w^2 + 3*w - 2]', '[87, 87, -w^2 + 3*w + 1]', '[88, 22, 2*w]', '[88, 22, -4*w + 6]', '[88, 22, -2*w^2 + 6*w - 2]', '[89, 89, w^2 + 3*w - 3]', '[92, 46, 3*w^2 - 25]', '[93, 93, 2*w + 5]', '[94, 94, -w - 5]', '[96, 12, 2*w^2 - 14]', '[99, 33, 2*w^2 + 2*w - 11]', '[99, 33, -w^2 - w + 1]', '[99, 33, w^2 - 2*w - 4]', '[99, 99, -w^2 - 3*w + 7]', '[99, 99, -w^2 - 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w + 23]', '[142, 142, -w^2 + 3*w - 4]', '[144, 12, 2*w^2 + 2*w - 8]', '[144, 36, 2*w + 2]', '[148, 74, -3*w^2 - 2*w + 21]', '[149, 149, 3*w^2 + 2*w - 24]', '[151, 151, -2*w - 3]', '[153, 51, 2*w^2 - 4*w + 1]', '[153, 51, w^2 + w - 13]', '[153, 51, -w^2 - 4*w - 2]', '[153, 153, -w^2 + 5*w - 3]', '[153, 153, -2*w^2 - 2*w + 9]', '[153, 153, -4*w^2 - 3*w + 28]', '[157, 157, w^2 + 4*w - 8]', '[157, 157, -6*w + 7]', '[157, 157, 4*w - 7]', '[159, 159, -2*w^2 + 8*w - 5]', '[162, 18, 3*w^2 + 3*w - 18]', '[162, 18, 2*w^2 + 5*w - 5]', '[162, 162, -2*w^2 + w + 21]', '[163, 163, -2*w^2 + 13]', '[166, 166, -w^2 - 3*w + 8]', '[167, 167, 4*w^2 + w - 32]', '[172, 86, -w^2 + 2*w + 5]', '[174, 174, -w^2 + w + 14]', '[176, 44, -2*w^2 + 6*w]', '[176, 44, -4*w^2 - 2*w + 34]', '[176, 44, -2*w^2 - 2*w + 16]', '[178, 178, 3*w^2 + 3*w - 8]', '[183, 183, -3*w^2 - 4*w + 14]', '[184, 46, 2*w - 8]', '[186, 186, -2*w^2 + w + 15]', '[187, 187, w + 6]', '[187, 187, -3*w + 10]', '[187, 187, -2*w^2 - w + 6]', '[187, 187, -2*w^2 - 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9]', '[232, 58, 2*w^2 - 12]', '[233, 233, -5*w + 8]', '[241, 241, -3*w - 8]', '[242, 22, -3*w^2 - w + 22]', '[242, 22, -2*w^2 - w + 11]', '[242, 22, w^2 - w + 2]', '[242, 242, -2*w^2 + 5*w + 3]', '[242, 242, -6*w^2 - w + 55]', '[242, 242, -w + 7]', '[243, 9, 3*w^2 + 3*w - 21]', '[243, 27, -3*w^2 + 30]', '[243, 243, 5*w^2 + 7*w - 25]', '[244, 122, -w^2 - 1]', '[248, 62, 2*w^2 - 2*w - 2]', '[249, 249, w^2 - 2*w - 6]', '[250, 10, -5*w + 5]', '[251, 251, 4*w^2 - 39]', '[253, 253, w^2 - 4*w]', '[253, 253, -2*w^2 + 11*w - 12]', '[253, 253, 6*w^2 - 22*w + 15]', '[256, 8, -4*w^2 + 36]', '[257, 257, 2*w^2 - w - 16]', '[258, 258, 2*w^2 + w - 7]', '[261, 87, -2*w^2 + w + 20]', '[261, 261, 6*w^2 + 2*w - 49]', '[262, 262, 7*w^2 + w - 62]', '[263, 263, -4*w + 3]', '[264, 66, -2*w - 8]', '[264, 66, 2*w^2 - 4*w]', '[264, 66, -2*w^2 - 4*w + 4]', '[267, 267, 2*w^2 - 5]', '[271, 271, 3*w^2 + 2*w - 20]', '[272, 68, -2*w^2 + 2*w + 12]', '[272, 68, -4*w^2 - 2*w + 30]', '[272, 68, -2*w^2 + 2*w + 8]', '[274, 274, w^2 - 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8]', '[353, 353, -w^2 + w + 15]', '[353, 353, 3*w^2 - w - 23]', '[356, 178, -w^2 + 2*w + 17]', '[359, 359, 5*w^2 - 46]', '[359, 359, 10*w^2 + 3*w - 84]', '[359, 359, 3*w^2 + w - 21]', '[363, 33, -w^2 - 4*w]', '[363, 33, 2*w^2 + w - 22]', '[363, 33, 2*w^2 - 2*w - 7]', '[363, 363, 2*w^2 - 3*w - 2]', '[363, 363, 5*w^2 + 5*w - 33]', '[363, 363, 2*w^2 + 5*w - 12]', '[366, 366, -2*w^2 + w + 9]', '[367, 367, 2*w^2 - 2*w - 3]', '[368, 92, 2*w^2 - 10*w + 8]', '[372, 186, w^2 - 4*w + 7]', '[373, 373, -2*w^2 + 3*w + 4]', '[373, 373, 7*w^2 + 3*w - 59]', '[373, 373, w^2 + 2*w - 16]', '[374, 374, -3*w^2 + w + 30]', '[374, 374, -3*w + 11]', '[374, 374, 3*w + 1]', '[374, 374, 3*w + 7]', '[374, 374, w^2 + 5*w - 6]', '[374, 374, -7*w^2 - 3*w + 56]', '[374, 374, -5*w + 11]', '[374, 374, -4*w^2 - 3*w + 27]', '[374, 374, -3*w^2 - 3*w + 22]', '[375, 15, -5*w + 10]', '[376, 94, 6*w^2 - 56]', '[379, 379, -w^2 + 2*w - 4]', '[382, 382, -3*w^2 - 3*w + 16]', '[384, 24, 4*w^2 + 4*w - 24]', '[386, 386, 2*w^2 + 3*w - 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8]', '[353, 353, -w^2 + w + 15]', '[353, 353, 3*w^2 - w - 23]', '[359, 359, 5*w^2 - 46]', '[359, 359, 10*w^2 + 3*w - 84]', '[359, 359, 3*w^2 + w - 21]', '[367, 367, 2*w^2 - 2*w - 3]', '[373, 373, -2*w^2 + 3*w + 4]', '[373, 373, 7*w^2 + 3*w - 59]', '[373, 373, w^2 + 2*w - 16]', '[379, 379, -w^2 + 2*w - 4]', '[389, 389, w^2 + 4*w - 2]', '[389, 389, 14*w^2 + 4*w - 119]', '[397, 397, 2*w^2 - 7]', '[401, 401, -2*w^2 + 3*w - 2]', '[421, 421, -w^2 + w - 3]', '[439, 439, -3*w - 2]', '[449, 449, 2*w^2 - 2*w - 5]', '[461, 461, 2*w^2 + 3*w - 16]', '[467, 467, -2*w^2 + 7*w - 8]', '[467, 467, 2*w^2 + 4*w - 3]', '[467, 467, 5*w^2 + w - 47]', '[479, 479, 2*w + 9]', '[487, 487, 6*w^2 + 3*w - 50]', '[499, 499, 7*w^2 - w - 69]', '[509, 509, 2*w^2 - 3*w - 10]', '[509, 509, -3*w - 4]', '[509, 509, -w^2 - 2*w - 2]', '[521, 521, -4*w^2 + 29]', '[523, 523, 5*w^2 + w - 39]', '[529, 23, 8*w^2 + w - 68]', '[541, 541, -6*w^2 - 3*w + 46]', '[547, 547, w^2 - 3*w - 5]', '[557, 557, w^2 - 7*w + 5]', '[557, 557, 4*w - 1]', '[557, 557, 8*w^2 + w - 74]', '[563, 563, 2*w^2 + 3*w - 18]', '[571, 571, 4*w^2 + 3*w - 32]', '[577, 577, 3*w^2 - 3*w - 17]', '[587, 587, -9*w^2 - 4*w + 72]', '[593, 593, -2*w^2 + 1]', '[599, 599, 7*w^2 + w - 65]', '[599, 599, 4*w^2 + 3*w - 26]', '[599, 599, 11*w^2 + 4*w - 96]', '[601, 601, 3*w^2 - w - 5]', '[613, 613, -2*w^2 + 2*w + 23]', '[617, 617, 3*w^2 + w - 19]', '[619, 619, 9*w^2 + w - 81]', '[619, 619, -3*w^2 - 3*w + 29]', '[619, 619, 8*w^2 + 4*w - 65]', '[631, 631, w^2 + 4*w - 14]', '[643, 643, 3*w^2 + 2*w - 32]', '[647, 647, 13*w^2 + 5*w - 109]', '[653, 653, 3*w^2 - w - 27]', '[653, 653, 4*w^2 + 5*w - 18]', '[653, 653, 14*w^2 + 6*w - 115]', '[673, 673, 18*w^2 + 4*w - 157]', '[677, 677, 8*w^2 - 75]', '[701, 701, 6*w^2 + 7*w - 34]', '[701, 701, 2*w^2 - 2*w - 15]', '[701, 701, w^2 - 9*w + 13]', '[727, 727, w^2 - 6*w + 12]', '[739, 739, w^2 + 6*w - 12]', '[751, 751, 4*w^2 + 3*w - 36]', '[757, 757, 3*w^2 - w - 17]', '[787, 787, 6*w^2 + 2*w - 47]', '[787, 787, 8*w^2 + 2*w - 73]', '[787, 787, 7*w^2 + 4*w - 56]', '[797, 797, 10*w^2 + 3*w - 90]', '[797, 797, 5*w^2 - w - 49]', '[797, 797, 3*w^2 - 32]', '[809, 809, w^2 + 5*w - 19]', '[811, 811, 4*w^2 + 4*w - 29]', '[821, 821, w - 10]', '[823, 823, 3*w^2 + 2*w - 12]', '[823, 823, -3*w^2 + 6*w + 4]', '[823, 823, -2*w^2 + 2*w + 27]', '[827, 827, -3*w^2 + 2*w + 36]', '[827, 827, -3*w^2 + 5*w + 7]', '[827, 827, 3*w^2 + w - 9]', '[829, 829, -9*w + 10]', '[839, 839, w^2 + 5*w - 3]', '[841, 29, 3*w^2 + 2*w - 14]', '[853, 853, 2*w^2 + w - 24]', '[881, 881, 4*w^2 + 2*w - 27]', '[883, 883, -3*w^2 + 5*w - 3]', '[887, 887, 4*w^2 - 2*w - 5]', '[907, 907, -3*w^2 + 4*w + 2]', '[907, 907, -5*w^2 - 4*w + 38]', '[907, 907, 2*w^2 - 2*w - 17]', '[911, 911, 2*w^2 + 4*w - 29]', '[911, 911, 2*w^2 - 2*w - 21]', '[911, 911, w^2 + 2*w - 18]', '[929, 929, 3*w^2 - 5*w - 1]', '[941, 941, w^2 + w - 17]', '[947, 947, 2*w^2 - 3*w - 12]', '[947, 947, -4*w - 9]', '[947, 947, -w^2 + w - 5]', '[961, 31, 8*w^2 + 3*w - 64]', '[967, 967, 2*w^2 + 4*w - 23]', '[977, 977, w^2 - 4*w - 4]', '[997, 997, -w^2 + 3*w + 15]']}
48. label: 3.3.1573.1
    {'degree': 3, 'discriminant': 1573, 'ideals': ['[1, 1, 1]', '[2, 2, -w]', '[4, 2, w^2 - w - 7]', '[4, 4, w + 2]', '[5, 5, w - 1]', '[7, 7, w + 1]', '[8, 2, 2]', '[8, 8, w - 2]', '[10, 10, -w^2 + 6]', '[11, 11, -w^2 + 5]', '[13, 13, w + 3]', '[13, 13, -2*w + 1]', '[14, 14, -w^2 + 4*w - 2]', '[16, 4, -2*w]', '[16, 4, -w^2 + 3*w + 1]', '[16, 16, -w^2 + 2*w]', '[19, 19, 2*w^2 - w - 15]', '[20, 10, -w^2 + w + 5]', '[20, 20, w^2 - 2*w - 4]', '[22, 22, w - 4]', '[25, 5, w^2 - 7]', '[25, 25, -2*w^2 + 2*w + 15]', '[26, 26, w^2 + w - 4]', '[26, 26, w^2 - 2*w - 2]', '[27, 3, 3]', '[28, 14, w^2 - w - 9]', '[28, 28, -w^2 + 8]', '[31, 31, w^2 - 2*w - 1]', '[32, 4, 2*w^2 - 2*w - 14]', '[32, 8, 2*w + 4]', '[32, 32, w^2 - 4]', '[35, 35, w^2 - 1]', '[37, 37, -3*w^2 + 2*w + 23]', '[38, 38, -w^2 + w + 4]', '[40, 10, 2*w - 2]', '[40, 40, w^2 - 3*w + 2]', '[41, 41, -2*w - 1]', '[44, 22, w^2 - w - 1]', '[44, 44, -w^2 + 4*w]', '[47, 47, w^2 - 3]', '[49, 7, w^2 - 2*w - 5]', '[49, 49, -2*w + 5]', '[50, 10, -w^2 + 2]', '[50, 50, -w - 4]', '[52, 26, -w^2 + w - 1]', '[52, 26, w^2 - w - 3]', '[52, 52, -w^2 + 3*w + 2]', '[52, 52, -3*w^2 + 2*w + 20]', '[54, 6, -3*w]', '[55, 55, -2*w - 3]', '[56, 14, 2*w + 2]', '[56, 56, w^2 - w - 2]', '[59, 59, 2*w - 3]', '[62, 62, w^2 - 6*w + 2]', '[64, 4, 4]', '[64, 8, w^2 + w - 5]', '[64, 16, 2*w - 4]', '[64, 64, -w^2 - 3*w + 2]', '[65, 65, w^2 - 2*w - 9]', '[65, 65, w^2 + 2*w - 3]', '[67, 67, w - 5]', '[70, 70, -3*w^2 + 3*w + 20]', '[71, 71, w^2 - 2*w - 11]', '[73, 73, w^2 + 1]', '[74, 74, w^2 - 2*w - 6]', '[76, 38, w^2 + w + 1]', '[76, 76, 3*w - 2]', '[77, 77, -2*w^2 + w + 17]', '[80, 20, -2*w^2 + 12]', '[80, 20, 3*w^2 - 9*w + 1]', '[80, 80, w^2 - w - 10]', '[82, 82, 2*w^2 + w]', '[83, 83, -4*w^2 + 3*w + 27]', '[88, 22, -2*w^2 + 10]', '[88, 88, w^2 - 2*w - 8]', '[89, 89, w^2 - 2*w - 7]', '[91, 91, -2*w^2 + 2*w + 11]', '[91, 91, -2*w^2 - w + 1]', '[94, 94, -w^2 - 4*w + 2]', '[95, 95, -w^2 + 11]', '[97, 97, w^2 - 6*w + 1]', '[98, 14, w^2 - 2*w + 2]', '[98, 98, 2*w^2 - 5*w]', '[100, 10, w^2 - 5*w + 3]', '[100, 20, 3*w^2 - 16]', '[100, 50, w^2 - 3*w - 3]', '[100, 100, -2*w^2 + 5*w + 2]', '[104, 26, 2*w + 6]', '[104, 26, -4*w + 2]', '[104, 104, 3*w^2 - 3*w - 22]', '[104, 104, w^2 + w - 6]', '[108, 6, 3*w^2 - 3*w - 21]', '[108, 12, 3*w + 6]', '[109, 109, -w^2 + 4*w + 1]', '[110, 110, w^2 - 5*w + 4]', '[112, 28, w^2 - 3*w + 3]', '[112, 28, -2*w^2 + 8*w - 4]', '[112, 112, -3*w^2 + w + 18]', '[113, 113, -w - 5]', '[113, 113, -3*w - 1]', '[113, 113, 2*w^2 - 3*w - 11]', '[118, 118, -2*w^2 + 3*w]', '[121, 11, -2*w^2 + 5*w + 1]', '[124, 62, -w^2 - w + 11]', '[124, 124, w^2 + 2*w - 4]', '[125, 5, 5]', '[125, 125, 2*w^2 - w - 11]', '[128, 8, -4*w]', '[128, 8, -2*w^2 + 6*w + 2]', '[128, 32, -2*w^2 + 4*w]', '[128, 128, 3*w^2 - 2*w - 24]', '[130, 130, w^2 + 2*w + 2]', '[130, 130, -2*w^2 + 7*w]', '[133, 133, 3*w^2 - 2*w - 19]', '[134, 134, -w^2 + 5*w]', '[135, 15, 3*w - 3]', '[137, 137, -2*w^2 + 3*w + 17]', '[140, 70, -w^2 - w + 7]', '[140, 140, w - 6]', '[142, 142, w^2 + 4*w + 2]', '[143, 143, 2*w^2 - 6*w + 3]', '[143, 143, -2*w^2 + 4*w + 5]', '[146, 146, -3*w - 8]', '[148, 74, -w^2 + 5*w - 7]', '[148, 148, w^2 - w + 2]', '[149, 149, 2*w^2 - 13]', '[151, 151, -2*w^2 + 1]', '[152, 38, 4*w^2 - 2*w - 30]', '[152, 152, -2*w^2 - w + 10]', '[154, 154, w^2 - 3*w - 4]', '[155, 155, -2*w^2 + 8*w - 1]', '[160, 20, -2*w^2 + 2*w + 10]', '[160, 40, 2*w^2 - 4*w - 8]', '[160, 160, 3*w + 2]', '[163, 163, 2*w^2 + w - 7]', '[164, 82, -w^2 + w + 11]', '[164, 164, -2*w^2 - 5*w - 2]', '[166, 166, w^2 + w - 8]', '[167, 167, 2*w^2 - 5*w - 5]', '[169, 13, w^2 - 4*w + 5]', '[169, 13, -4*w^2 + 2*w + 29]', '[169, 169, 3*w + 5]', '[175, 35, 2*w^2 - 9]', '[175, 175, -2*w^2 + 3*w + 19]', '[176, 44, -w^2 - w + 9]', '[176, 44, 2*w - 8]', '[176, 176, w^2 + w + 2]', '[178, 178, w^2 + 2]', '[182, 182, 3*w - 4]', '[182, 182, 2*w^2 - 3*w - 12]', '[185, 185, 2*w^2 - 17]', '[188, 94, -3*w^2 + w + 21]', '[188, 188, 3*w^2 + 4*w - 8]', '[189, 21, 3*w + 3]', '[190, 190, w^2 - 4*w - 2]', '[191, 191, -6*w^2 + 4*w + 41]', '[191, 191, 4*w^2 - 12*w + 1]', '[191, 191, 3*w - 7]', '[193, 193, w^2 + 2*w - 5]', '[194, 194, 3*w + 4]', '[196, 14, -5*w^2 + 3*w + 39]', '[196, 28, w^2 - 2*w - 12]', '[196, 98, w^2 - 3*w - 11]', '[196, 196, -2*w^2 + w + 10]', '[197, 197, -4*w^2 + 4*w + 27]', '[200, 10, 2*w^2 - 14]', '[200, 40, -w^2 + 12]', '[200, 50, -4*w^2 + 4*w + 30]', '[200, 200, 4*w^2 - 3*w - 26]', '[205, 205, -2*w^2 + w + 1]', '[208, 52, -w^2 + 3*w + 5]', '[208, 52, 2*w^2 + 2*w - 8]', '[208, 52, -3*w^2 + w + 23]', '[208, 52, 2*w^2 - 4*w - 4]', '[208, 208, w + 6]', '[208, 208, -2*w^2 - w + 2]', '[209, 209, -w^2 + 2*w - 3]', '[211, 211, -10*w^2 + 8*w + 69]', '[211, 211, 3*w - 5]', '[211, 211, 2*w^2 - 4*w - 1]', '[216, 6, 6]', '[216, 24, 3*w - 6]', '[217, 217, 4*w - 3]', '[218, 218, 2*w^2 - 3*w - 16]', '[220, 110, -3*w^2 + 3*w + 25]', '[220, 220, 3*w^2 - w - 22]', '[223, 223, 2*w^2 - 3*w - 7]', '[224, 28, 2*w^2 - 2*w - 18]', '[224, 56, -2*w^2 + 16]', '[224, 224, 2*w^2 + 3*w - 6]', '[226, 226, 3*w^2 + w]', '[226, 226, w^2 + 5*w]', '[226, 226, w^2 - 3*w + 4]', '[227, 227, 2*w^2 - 15]', '[229, 229, -2*w - 7]', '[233, 233, 2*w^2 - 3*w - 13]', '[233, 233, -w^2 - 4*w + 3]', '[233, 233, 2*w^2 - 2*w - 9]', '[235, 235, 4*w + 1]', '[236, 118, -3*w^2 + 3*w + 17]', '[236, 236, 2*w^2 + w - 6]', '[239, 239, -5*w^2 + 4*w + 33]', '[241, 241, -2*w^2 + 2*w + 1]', '[242, 22, 3*w^2 - 2*w - 18]', '[245, 35, -2*w^2 + 4*w + 3]', '[245, 245, -2*w^2 + 7*w - 5]', '[247, 247, 2*w^2 - 3*w - 1]', '[247, 247, w - 7]', '[248, 62, 2*w^2 - 4*w - 2]', '[248, 248, -3*w^2 + 10*w]', '[250, 10, -5*w]', '[250, 250, -w^2 - 3*w + 4]', '[256, 8, 4*w^2 - 4*w - 28]', '[256, 16, -5*w^2 + 3*w + 33]', '[256, 16, 4*w + 8]', '[256, 64, 2*w^2 - 8]', '[256, 256, -w^2 + 3*w + 6]', '[257, 257, 2*w^2 - 6*w - 3]', '[257, 257, 2*w^2 - 3*w - 15]', '[257, 257, -w^2 - 2*w - 3]', '[259, 259, -4*w^2 + 4*w + 29]', '[260, 130, -w^2 + 5*w + 1]', '[260, 130, -3*w^2 + w + 17]', '[260, 260, 2*w^2 - 3*w - 14]', '[260, 260, 3*w^2 - 8*w]', '[266, 266, -w^2 - 2*w + 6]', '[268, 134, -5*w^2 + 5*w + 33]', '[268, 268, w^2 - 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7]', '[1940, 1940, 9*w^2 - 29*w + 10]', '[1948, 974, 3*w^2 - 11*w - 3]', '[1948, 1948, 3*w^2 + 13*w - 2]', '[1954, 1954, -6*w^2 + 7*w + 40]', '[1958, 1958, -5*w^2 + 8*w + 26]', '[1960, 70, -4*w^2 + 8*w + 6]', '[1960, 280, 6*w^2 - 19*w - 2]', '[1960, 490, -4*w^2 + 14*w - 10]', '[1960, 1960, 4*w^2 - w + 2]', '[1963, 1963, -3*w^2 + 10*w + 5]', '[1963, 1963, 2*w^2 + 7*w + 9]', '[1966, 1966, -4*w^2 - w + 4]', '[1967, 1967, -2*w^2 - 5]', '[1970, 1970, w^2 - 9*w + 8]', '[1971, 219, 3*w^2 + 3]', '[1976, 494, 4*w^2 - 6*w - 2]', '[1976, 494, 2*w - 14]', '[1976, 1976, w^2 - 9*w + 14]', '[1976, 1976, -5*w^2 + 19*w - 2]', '[1979, 1979, 5*w - 19]', '[1979, 1979, 5*w^2 - 2*w - 27]', '[1979, 1979, -4*w^2 - 2*w + 5]', '[1981, 1981, 5*w^2 + 10*w - 9]', '[1981, 1981, 6*w^2 + w - 33]', '[1981, 1981, 4*w^2 - 16*w + 1]', '[1984, 124, 4*w^2 - 8*w - 4]', '[1984, 248, -w^2 + 7*w + 5]', '[1984, 496, -6*w^2 + 20*w]', '[1984, 1984, -13*w + 2]', '[1985, 1985, -w^2 + 8*w + 3]', '[1987, 1987, 5*w^2 - 10*w - 13]', '[1988, 994, -13*w^2 + 13*w + 103]', '[1988, 1988, 13*w^2 - 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12*w - 9]', '[9917, 9917, 5*w^2 - 6*w + 7]', '[9917, 9917, -27*w^2 + 18*w + 203]', '[9919, 9919, -8*w^2 - w + 35]', '[9919, 9919, 6*w^2 + 11*w + 5]', '[9920, 620, -8*w^2 + 32*w - 4]', '[9920, 1240, 7*w^2 - 9*w - 3]', '[9920, 2480, 20*w^2 - 62*w + 12]', '[9920, 9920, -7*w^2 - 4*w + 36]', '[9922, 902, -5*w^2 - 4*w + 30]', '[9925, 1985, -6*w^2 + 10*w + 47]', '[9925, 9925, 16*w^2 - 7*w - 109]', '[9926, 9926, 7*w^2 + 5*w - 16]', '[9932, 4966, -5*w^2 - 3*w + 49]', '[9932, 4966, 7*w^2 - 3*w - 33]', '[9932, 4966, -7*w^2 + 19*w + 15]', '[9932, 4966, -3*w^2 - 23*w + 9]', '[9932, 4966, 7*w^2 - 31*w + 13]', '[9932, 4966, 17*w^2 - 13*w - 131]', '[9932, 9932, 13*w^2 - 36*w - 8]', '[9932, 9932, -10*w^2 + 17*w - 6]', '[9932, 9932, 18*w^2 - 17*w - 122]', '[9932, 9932, 5*w^2 + 9*w - 18]', '[9932, 9932, 15*w + 38]', '[9932, 9932, -5*w^2 + 11*w + 26]', '[9935, 9935, -10*w^2 + 32*w + 3]', '[9940, 4970, 13*w^2 - w - 77]', '[9940, 9940, -7*w^2 + 8*w + 64]', '[9944, 2486, 16*w^2 - 8*w - 114]', '[9944, 2486, 12*w^2 + 4*w - 54]', '[9944, 2486, 8*w^2 + 12*w - 22]', '[9944, 9944, 2*w^2 + 5*w + 14]', '[9944, 9944, -4*w^2 + 11*w + 42]', '[9944, 9944, -12*w^2 + 7*w + 98]', '[9946, 9946, -13*w + 12]', '[9953, 9953, -30*w^2 + 22*w + 209]', '[9953, 9953, 7*w^2 + 2*w - 25]', '[9953, 9953, 7*w^2 - 14*w - 5]', '[9958, 9958, -15*w^2 + 35*w + 32]', '[9958, 9958, -8*w^2 + w + 60]', '[9961, 9961, -22*w^2 + 12*w + 153]', '[9967, 9967, 16*w + 1]', '[9967, 9967, -14*w + 11]', '[9967, 9967, -5*w^2 + 24*w - 15]', '[9968, 2492, -10*w^2 + 26*w + 8]', '[9968, 2492, 5*w^2 - 15*w - 13]', '[9968, 9968, 20*w^2 - 9*w - 134]', '[9970, 9970, 8*w^2 + 11*w - 24]', '[9970, 9970, 9*w^2 - 13*w - 76]', '[9970, 9970, 7*w^2 - 15*w + 8]', '[9971, 767, 8*w^2 - 4*w - 71]', '[9971, 767, -9*w^2 + 36*w - 19]', '[9971, 9971, 6*w^2 + w - 15]', '[9973, 9973, -16*w^2 + 15*w + 113]', '[9974, 9974, 2*w^2 - 17*w + 12]', '[9980, 4990, 7*w^2 + w - 63]', '[9980, 9980, -3*w^2 - 8*w + 56]', '[9983, 9983, 8*w^2 - w - 61]', '[9985, 9985, -w^2 - 18*w + 9]', '[9988, 4994, -3*w^2 + 11*w + 15]', '[9988, 9988, 7*w^2 - 14*w - 12]', '[9990, 1110, -6*w^2 + 9*w + 12]', '[9992, 2498, -8*w^2 - 4*w + 6]', '[9992, 2498, 2*w^2 - 12*w - 34]', '[9992, 2498, -4*w - 22]', '[9992, 9992, -2*w^2 - 7*w + 22]', '[9992, 9992, 2*w^2 - 21*w + 2]', '[9992, 9992, -7*w^2 + 2*w + 32]', '[9995, 9995, 3*w^2 + 6*w + 11]', '[9995, 9995, -6*w^2 + 7*w + 19]', '[9995, 9995, -10*w^2 + 7*w + 83]', '[9997, 9997, w^2 + 24*w - 9]', '[9997, 9997, -4*w^2 - 12*w - 13]', '[9998, 9998, 2*w^2 + 17*w]', '[10000, 100, -9*w^2 - 5*w + 33]', '[10000, 100, 2*w^2 - 10*w - 24]', '[10000, 100, -10*w^2 + 60]', '[10000, 100, 15*w^2 - 45*w + 5]', '[10000, 400, -6*w^2 + 5*w + 22]', '[10000, 400, 5*w^2 - 5*w - 50]', '[10000, 2500, -6*w^2 - 4]', '[10000, 2500, 5*w^2 - 19*w + 19]', '[10000, 10000, 3*w^2 - 23*w + 10]'], 'label': '3.3.1573.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w]', '[4, 2, w^2 - w - 7]', '[5, 5, w - 1]', '[7, 7, w + 1]', '[11, 11, -w^2 + 5]', '[13, 13, w + 3]', '[13, 13, -2*w + 1]', '[19, 19, 2*w^2 - w - 15]', '[25, 5, w^2 - 7]', '[27, 3, 3]', '[31, 31, w^2 - 2*w - 1]', '[37, 37, -3*w^2 + 2*w + 23]', '[41, 41, -2*w - 1]', '[47, 47, w^2 - 3]', '[49, 7, w^2 - 2*w - 5]', '[59, 59, 2*w - 3]', '[67, 67, w - 5]', '[71, 71, w^2 - 2*w - 11]', '[73, 73, w^2 + 1]', '[83, 83, -4*w^2 + 3*w + 27]', '[89, 89, w^2 - 2*w - 7]', '[97, 97, w^2 - 6*w + 1]', '[109, 109, -w^2 + 4*w + 1]', '[113, 113, -w - 5]', '[113, 113, -3*w - 1]', '[113, 113, 2*w^2 - 3*w - 11]', '[137, 137, -2*w^2 + 3*w + 17]', '[149, 149, 2*w^2 - 13]', '[151, 151, -2*w^2 + 1]', '[163, 163, 2*w^2 + w - 7]', '[167, 167, 2*w^2 - 5*w - 5]', '[191, 191, -6*w^2 + 4*w + 41]', '[191, 191, 4*w^2 - 12*w + 1]', '[191, 191, 3*w - 7]', '[193, 193, w^2 + 2*w - 5]', '[197, 197, -4*w^2 + 4*w + 27]', '[211, 211, -10*w^2 + 8*w + 69]', '[211, 211, 3*w - 5]', '[211, 211, 2*w^2 - 4*w - 1]', '[223, 223, 2*w^2 - 3*w - 7]', '[227, 227, 2*w^2 - 15]', '[229, 229, -2*w - 7]', '[233, 233, 2*w^2 - 3*w - 13]', '[233, 233, -w^2 - 4*w + 3]', '[233, 233, 2*w^2 - 2*w - 9]', '[239, 239, -5*w^2 + 4*w + 33]', '[241, 241, -2*w^2 + 2*w + 1]', '[257, 257, 2*w^2 - 6*w - 3]', '[257, 257, 2*w^2 - 3*w - 15]', '[257, 257, -w^2 - 2*w - 3]', '[269, 269, 2*w^2 - w - 9]', '[269, 269, 2*w^2 + w - 11]', '[269, 269, -2*w^2 + 7*w + 1]', '[271, 271, -7*w^2 + 6*w + 49]', '[277, 277, -3*w^2 + 2*w + 25]', '[277, 277, 3*w^2 - 8*w - 1]', '[277, 277, 2*w^2 - 4*w - 9]', '[281, 281, w^2 - 4*w - 3]', '[283, 283, 4*w^2 - 2*w - 25]', '[283, 283, -3*w^2 + 10*w - 5]', '[283, 283, 2*w^2 + w - 5]', '[293, 293, -5*w + 3]', '[307, 307, -4*w^2 + 2*w + 33]', '[317, 317, 2*w^2 + w + 1]', '[331, 331, 2*w - 9]', '[337, 337, -10*w^2 + 6*w + 75]', '[337, 337, w^2 + 2*w - 7]', '[337, 337, -8*w^2 + 6*w + 55]', '[347, 347, w^2 - 13]', '[347, 347, 2*w^2 - 4*w - 19]', '[347, 347, -5*w^2 + 4*w + 39]', '[349, 349, 2*w^2 - w - 19]', '[353, 353, -8*w^2 + 7*w + 55]', '[359, 359, -4*w^2 + 3*w + 25]', '[361, 19, -w^2 - 6*w + 3]', '[367, 367, 2*w^2 - 3*w - 3]', '[367, 367, 2*w^2 - 2*w - 7]', '[367, 367, w^2 - 2*w - 13]', '[373, 373, -4*w - 7]', '[373, 373, 3*w^2 - 2*w - 17]', '[373, 373, -11*w^2 + 8*w + 77]', '[379, 379, -7*w + 3]', '[383, 383, w^2 + 2*w - 17]', '[397, 397, 2*w^2 - w - 7]', '[401, 401, -4*w - 3]', '[409, 409, 12*w^2 - 7*w - 91]', '[419, 419, 5*w + 1]', '[419, 419, 2*w^2 - 2*w - 3]', '[419, 419, -7*w^2 + 4*w + 51]', '[421, 421, w^2 - 4*w - 13]', '[431, 431, 3*w^2 - 19]', '[449, 449, w^2 + 2*w - 9]', '[457, 457, -8*w^2 + 7*w + 59]', '[461, 461, 2*w^2 - w - 5]', '[463, 463, -4*w - 5]', '[479, 479, -4*w^2 + 4*w + 23]', '[487, 487, -3*w^2 + 4*w + 23]', '[499, 499, 2*w^2 - 4*w - 11]', '[509, 509, 4*w - 7]', '[541, 541, -w^2 + 4*w - 7]', '[557, 557, -2*w^2 - w + 19]', '[569, 569, 8*w - 1]', '[569, 569, -w^2 + 2*w - 5]', '[569, 569, 2*w^2 - 6*w + 5]', '[577, 577, -w^2 + 6*w - 11]', '[587, 587, w - 9]', '[593, 593, 2*w^2 - 8*w - 1]', '[599, 599, 4*w^2 - 10*w - 5]', '[599, 599, 2*w^2 - 6*w - 5]', '[599, 599, -4*w^2 + 3*w + 33]', '[613, 613, -3*w^2 - 2*w + 3]', '[617, 617, 2*w^2 - 3*w + 3]', '[619, 619, -10*w^2 + 7*w + 75]', '[631, 631, 3*w^2 + 1]', '[643, 643, -10*w^2 + 7*w + 69]', '[661, 661, 2*w^2 - 7*w - 3]', '[673, 673, 5*w - 13]', '[673, 673, -w^2 - 2*w - 5]', '[673, 673, 2*w^2 + 2*w - 11]', '[677, 677, 6*w + 1]', '[677, 677, 2*w^2 + w - 17]', '[677, 677, 3*w^2 - 2*w - 15]', '[683, 683, 3*w^2 - 25]', '[691, 691, -5*w - 9]', '[701, 701, -5*w^2 + 2*w + 37]', '[701, 701, -3*w^2 + 4*w + 1]', '[701, 701, w^2 - 4*w - 9]', '[709, 709, -6*w^2 + 4*w + 39]', '[727, 727, 2*w^2 - 3*w - 21]', '[727, 727, -8*w^2 + 6*w + 61]', '[727, 727, 2*w^2 - 4*w - 15]', '[733, 733, 2*w^2 + 2*w - 23]', '[739, 739, -4*w^2 + w + 31]', '[743, 743, 2*w^2 + 4*w - 7]', '[751, 751, 4*w^2 + 2*w - 19]', '[751, 751, -4*w^2 + w + 29]', '[751, 751, -6*w^2 + 6*w + 41]', '[761, 761, -10*w^2 + 6*w + 77]', '[769, 769, -w^2 - 5]', '[773, 773, -3*w^2 + 2*w + 27]', '[787, 787, -10*w^2 + 6*w + 73]', '[797, 797, -5*w^2 + 6*w + 31]', '[797, 797, 3*w^2 - 6*w - 5]', '[797, 797, 2*w - 11]', '[811, 811, 4*w^2 - 16*w + 9]', '[821, 821, 4*w^2 - 8*w - 15]', '[827, 827, -2*w^2 + 9*w - 11]', '[839, 839, -3*w^2 + 8*w + 7]', '[853, 853, -6*w + 5]', '[863, 863, -w^2 + 8*w - 13]', '[877, 877, 5*w - 7]', '[881, 881, -7*w^2 + 6*w + 45]', '[881, 881, -2*w^2 + 10*w - 7]', '[881, 881, 3*w^2 - 4*w - 11]', '[883, 883, 9*w - 1]', '[883, 883, 2*w^2 - w + 3]', '[883, 883, -2*w^2 + 8*w - 9]', '[887, 887, 4*w^2 - 5*w - 27]', '[887, 887, -2*w^2 + 5*w - 5]', '[887, 887, -5*w - 7]', '[929, 929, w^2 + 4*w - 7]', '[941, 941, -2*w^2 + 2*w + 21]', '[947, 947, -3*w - 11]', '[961, 31, -4*w^2 + w + 21]', '[967, 967, -2*w^2 + 11*w - 13]', '[977, 977, 5*w^2 - 16*w - 1]', '[983, 983, 2*w^2 + 2*w - 13]', '[997, 997, 3*w^2 - 2*w - 13]', '[997, 997, -2*w^2 - w - 3]', '[997, 997, -4*w^2 + 4*w + 21]']}
49. label: 3.3.1593.1
    {'degree': 3, 'discriminant': 1593, 'ideals': ['[1, 1, 1]', '[3, 3, w + 2]', '[5, 5, w^2 - 2*w - 4]', '[7, 7, w]', '[7, 7, w + 3]', '[7, 7, -w^2 + 2*w + 3]', '[8, 2, 2]', '[9, 3, -w^2 + 2*w + 5]', '[13, 13, w^2 - 3*w - 2]', '[15, 15, w - 1]', '[17, 17, w - 2]', '[21, 21, w^2 - w - 6]', '[21, 21, -w^2 + 7]', '[21, 21, -w + 4]', '[24, 6, 2*w + 4]', '[25, 5, -w^2 - w + 3]', '[25, 25, w^2 - w - 10]', '[27, 3, 3]', '[29, 29, w^2 - 2*w - 6]', '[31, 31, w^2 - 5]', '[35, 35, w + 4]', '[35, 35, -2*w^2 + 5*w + 7]', '[35, 35, w^2 - w - 5]', '[37, 37, -w^2 - 2*w + 2]', '[39, 39, -w^2 + w + 3]', '[40, 10, 2*w^2 - 4*w - 8]', '[41, 41, w^2 - 8]', '[43, 43, w^2 - w - 4]', '[45, 15, w^2 + w - 2]', '[49, 7, -2*w^2 + w + 14]', '[49, 7, w^2 - 3*w]', '[49, 7, w^2 - 9]', '[49, 49, w^2 - 2*w - 7]', '[49, 49, -w^2 + 2*w + 10]', '[49, 49, -w^2 + 2*w + 1]', '[51, 51, w^2 - 4]', '[53, 53, 2*w^2 - 5*w - 4]', '[56, 14, 2*w]', '[56, 14, 2*w + 6]', '[56, 14, -2*w^2 + 4*w + 6]', '[59, 59, w^2 - 3]', '[59, 59, w^2 - 3*w - 5]', '[61, 61, -w^2 + 2*w + 12]', '[63, 21, 2*w^2 - 4*w - 7]', '[63, 21, -w^2 + 2*w + 8]', '[63, 21, w^2 + w - 5]', '[64, 4, 4]', '[65, 65, -w^2 + 2*w + 9]', '[67, 67, -2*w^2 + 6*w + 3]', '[71, 71, w^2 - w - 11]', '[72, 6, -2*w^2 + 4*w + 10]', '[73, 73, w - 5]', '[75, 15, -2*w^2 + 3*w + 11]', '[75, 75, w^2 - 3*w - 13]', '[81, 9, 3*w + 6]', '[85, 85, 2*w^2 - 3*w - 19]', '[87, 87, -w - 5]', '[91, 91, -3*w - 5]', '[91, 91, -2*w + 1]', '[91, 91, -3*w^2 + 7*w + 7]', '[93, 93, 2*w^2 + 4*w - 3]', '[97, 97, w^2 + w - 15]', '[103, 103, w^2 - 3*w - 6]', '[104, 26, 2*w^2 - 6*w - 4]', '[105, 105, 2*w^2 - 3*w - 14]', '[105, 105, w^2 + 2*w - 3]', '[105, 105, w^2 - 4*w + 3]', '[107, 107, -w^2 + 4*w - 1]', '[109, 109, -3*w - 1]', '[111, 111, -2*w + 5]', '[117, 39, 2*w^2 - w - 13]', '[119, 119, 4*w + 9]', '[119, 119, w^2 - 2*w]', '[119, 119, w^2 + w - 6]', '[120, 30, 2*w - 2]', '[123, 123, 2*w^2 + w - 9]', '[125, 5, 5]', '[125, 125, -w^2 + 4*w + 2]', '[129, 129, w^2 + 3*w - 1]', '[131, 131, w^2 - 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33]', '[9907, 9907, 12*w^2 - 25*w - 39]', '[9909, 1101, 9*w^2 - 12*w - 90]', '[9912, 2478, 2*w + 22]', '[9912, 2478, 14*w^2 - 32*w - 54]', '[9912, 2478, 8*w^2 - 12*w - 38]', '[9912, 2478, 6*w^2 - 2*w - 28]', '[9912, 2478, 2*w^2 - 14*w - 42]', '[9912, 2478, 2*w^2 - 12*w + 4]', '[9919, 9919, 9*w^2 + 18*w + 5]', '[9919, 9919, -18*w^2 + 53*w + 56]', '[9919, 9919, 6*w^2 - w - 1]', '[9920, 620, -4*w + 24]', '[9921, 9921, 6*w^2 - 5*w - 19]', '[9921, 9921, 11*w^2 + 34*w + 12]', '[9921, 9921, -9*w^2 + 25*w + 11]', '[9925, 1985, 7*w^2 - 8*w - 36]', '[9925, 9925, 9*w^2 - 23*w - 36]', '[9927, 3309, -2*w^2 - 11*w - 23]', '[9928, 2482, 2*w^2 - 14*w + 20]', '[9929, 9929, 11*w^2 - 10*w - 78]', '[9935, 9935, -6*w^2 + 17*w + 29]', '[9941, 9941, -10*w^2 + 9*w + 69]', '[9945, 3315, -11*w^2 + 22*w + 34]', '[9947, 203, 7*w^2 - 14*w - 42]', '[9947, 1421, -3*w^2 + 5*w + 42]', '[9947, 1421, -20*w^2 + 46*w + 63]', '[9947, 1421, 5*w^2 - 20*w + 7]', '[9947, 1421, -11*w^2 + 7*w + 78]', '[9947, 1421, 10*w^2 - 28*w - 13]', '[9947, 1421, -3*w^2 - 5*w + 21]', '[9947, 9947, 8*w^2 - 13*w - 33]', '[9947, 9947, 8*w^2 - 5*w - 80]', '[9947, 9947, -3*w^2 + 14*w]', '[9949, 9949, w^2 + 19*w + 44]', '[9951, 9951, w^2 - 6*w - 31]', '[9953, 9953, 6*w^2 - 11*w - 47]', '[9953, 9953, 9*w^2 - 14*w - 86]', '[9953, 9953, 3*w^2 + 4*w - 38]', '[9963, 369, 12*w^2 - 15*w - 78]', '[9967, 9967, 13*w^2 - 15*w - 111]', '[9969, 9969, -6*w^2 - 5*w + 8]', '[9971, 767, -3*w^2 + 18*w - 29]', '[9971, 767, 6*w^2 + 3*w - 20]', '[9971, 9971, -3*w^2 + 14*w + 23]', '[9971, 9971, -6*w^2 - 6*w + 11]', '[9973, 9973, 5*w^2 - 8*w - 58]', '[9976, 2494, -2*w^2 + 12*w - 6]', '[9981, 3327, -w^2 + 11*w - 19]', '[9981, 3327, 10*w^2 - 35*w + 4]', '[9981, 3327, 5*w^2 - 13*w - 31]', '[9983, 9983, -7*w^2 - 14*w + 13]', '[9983, 9983, -12*w^2 + 8*w + 87]', '[9983, 9983, 12*w^2 - 17*w - 72]', '[9987, 9987, 10*w^2 - 13*w - 78]', '[9991, 9991, 15*w^2 - 28*w - 76]', '[9992, 2498, 10*w^2 - 14*w - 72]', '[9995, 9995, 2*w^2 - 12*w + 5]', '[9997, 9997, -6*w^2 + w + 27]'], 'label': '3.3.1593.1', 'narrow_class_no': 2, 'primes': ['[3, 3, w + 2]', '[5, 5, w^2 - 2*w - 4]', '[7, 7, w]', '[7, 7, w + 3]', '[7, 7, -w^2 + 2*w + 3]', '[8, 2, 2]', '[13, 13, w^2 - 3*w - 2]', '[17, 17, w - 2]', '[25, 5, -w^2 - w + 3]', '[29, 29, w^2 - 2*w - 6]', '[31, 31, w^2 - 5]', '[37, 37, -w^2 - 2*w + 2]', '[41, 41, w^2 - 8]', '[43, 43, w^2 - w - 4]', '[53, 53, 2*w^2 - 5*w - 4]', '[59, 59, w^2 - 3]', '[59, 59, w^2 - 3*w - 5]', '[61, 61, -w^2 + 2*w + 12]', '[67, 67, -2*w^2 + 6*w + 3]', '[71, 71, w^2 - w - 11]', '[73, 73, w - 5]', '[97, 97, w^2 + w - 15]', '[103, 103, w^2 - 3*w - 6]', '[107, 107, -w^2 + 4*w - 1]', '[109, 109, -3*w - 1]', '[131, 131, w^2 - 5*w + 5]', '[131, 131, -w^2 + 3*w - 1]', '[131, 131, 2*w^2 - 3*w - 10]', '[137, 137, 2*w - 3]', '[149, 149, -2*w^2 + 4*w + 11]', '[149, 149, -2*w^2 + 3*w + 18]', '[149, 149, 2*w^2 - 3*w - 15]', '[151, 151, w^2 - 4*w - 1]', '[157, 157, -w^2 + 3*w + 12]', '[167, 167, w^2 - 2*w - 13]', '[169, 13, 2*w^2 + w - 11]', '[191, 191, w^2 + 2*w - 4]', '[191, 191, 3*w^2 - 7*w - 12]', '[191, 191, 2*w^2 - w - 12]', '[197, 197, 3*w^2 - 6*w - 11]', '[211, 211, w^2 - 3*w - 9]', '[227, 227, 3*w^2 - 4*w - 27]', '[227, 227, 2*w^2 - 2*w - 11]', '[227, 227, -3*w^2 + 5*w + 15]', '[229, 229, -2*w^2 - 3*w + 3]', '[239, 239, w^2 + 3*w - 2]', '[251, 251, 3*w - 11]', '[257, 257, 2*w^2 - 15]', '[263, 263, w^2 + w - 9]', '[269, 269, 4*w^2 - 7*w - 20]', '[269, 269, 5*w + 11]', '[269, 269, 3*w - 1]', '[281, 281, w^2 + 5*w + 8]', '[283, 283, w^2 + w - 10]', '[289, 17, w^2 + 2*w - 5]', '[293, 293, w^2 + 6*w + 10]', '[311, 311, w^2 + w - 16]', '[313, 313, 3*w^2 - 5*w - 30]', '[317, 317, 3*w^2 + w - 15]', '[337, 337, 2*w^2 - 9]', '[349, 349, 2*w - 9]', '[359, 359, 3*w^2 - w - 19]', '[367, 367, 3*w^2 - 4*w - 30]', '[373, 373, w^2 + 3*w - 3]', '[373, 373, -w^2 + 2*w - 2]', '[373, 373, 2*w^2 - 19]', '[379, 379, 3*w^2 - 2*w - 20]', '[379, 379, -3*w - 10]', '[379, 379, -3*w^2 - 3*w + 10]', '[383, 383, 2*w^2 - 3*w - 22]', '[389, 389, 2*w^2 - w - 9]', '[397, 397, -3*w^2 + 9*w + 2]', '[409, 409, w^2 + 4*w - 1]', '[421, 421, -4*w^2 + 4*w + 37]', '[433, 433, 3*w^2 - 3*w - 19]', '[433, 433, 3*w^2 - w - 25]', '[433, 433, w - 8]', '[439, 439, 4*w^2 - 8*w - 15]', '[439, 439, 3*w^2 - 8*w - 12]', '[439, 439, -w^2 + 5*w - 3]', '[443, 443, w^2 - 4*w - 10]', '[443, 443, -3*w^2 + 5*w + 9]', '[443, 443, 2*w^2 + w - 5]', '[449, 449, 3*w - 4]', '[457, 457, 2*w^2 - 4*w - 15]', '[461, 461, -2*w - 9]', '[463, 463, -2*w^2 + 7*w + 2]', '[479, 479, 4*w^2 + 5*w - 13]', '[491, 491, -w^2 + 6*w + 8]', '[503, 503, 6*w + 13]', '[503, 503, 2*w^2 - 2*w - 1]', '[503, 503, -9*w - 23]', '[509, 509, w^2 + 3*w - 20]', '[509, 509, 4*w^2 - 9*w - 17]', '[509, 509, -w^2 + 5*w - 2]', '[521, 521, 3*w^2 - 4*w - 16]', '[523, 523, 4*w^2 - 7*w - 23]', '[523, 523, -3*w^2 - 6*w + 5]', '[523, 523, 3*w^2 - 5*w - 11]', '[541, 541, 4*w^2 - w - 29]', '[547, 547, 2*w^2 - 5*w - 23]', '[547, 547, 3*w^2 - w - 18]', '[547, 547, -2*w^2 - 4*w + 5]', '[557, 557, -3*w^2 + 5*w + 29]', '[569, 569, -w^2 + 2*w - 3]', '[569, 569, 4*w^2 - 5*w - 33]', '[569, 569, w^2 - 5*w - 9]', '[571, 571, 5*w^2 - 9*w - 24]', '[593, 593, -3*w^2 - 5*w + 4]', '[599, 599, 4*w^2 - 5*w - 25]', '[601, 601, 3*w^2 + w - 18]', '[613, 613, 3*w^2 - 16]', '[617, 617, 5*w^2 - 9*w - 27]', '[641, 641, w - 9]', '[647, 647, 2*w^2 - 5*w - 13]', '[653, 653, -w^2 + 3*w - 4]', '[673, 673, 7*w^2 - 14*w - 30]', '[677, 677, 3*w^2 - 2*w - 18]', '[691, 691, 5*w^2 - 10*w - 24]', '[701, 701, 3*w^2 - 3*w - 17]', '[701, 701, 4*w - 11]', '[701, 701, -w^2 - 8*w - 10]', '[733, 733, -4*w^2 + 12*w + 3]', '[733, 733, w^2 - 3*w - 17]', '[733, 733, 5*w^2 - 6*w - 43]', '[739, 739, 6*w^2 - 13*w - 25]', '[743, 743, 7*w^2 - 15*w - 29]', '[751, 751, -4*w^2 + 23]', '[761, 761, w^2 - 2*w - 16]', '[769, 769, 5*w^2 - 12*w - 19]', '[773, 773, 3*w^2 - 22]', '[773, 773, -3*w^2 - 3*w + 13]', '[773, 773, -4*w - 13]', '[787, 787, 4*w^2 - 9*w - 18]', '[787, 787, 5*w^2 - 6*w - 33]', '[787, 787, 7*w^2 - 15*w - 26]', '[809, 809, 3*w^2 - 4*w - 13]', '[809, 809, -4*w^2 - 5*w + 11]', '[809, 809, -3*w^2 + 9*w + 1]', '[811, 811, -9*w^2 + 20*w + 32]', '[821, 821, 5*w^2 - 7*w - 30]', '[821, 821, w^2 - 5*w - 12]', '[821, 821, w^2 + 4*w - 3]', '[823, 823, -w^2 - w - 5]', '[827, 827, 3*w^2 - 4*w - 10]', '[829, 829, 3*w^2 - 2*w - 17]', '[829, 829, -w^2 + w - 4]', '[829, 829, 3*w^2 - 3*w - 16]', '[839, 839, 7*w + 15]', '[839, 839, -2*w^2 + 2*w + 23]', '[839, 839, -w^2 + 7*w + 22]', '[841, 29, w^2 - 5*w - 13]', '[853, 853, 3*w^2 - 5*w - 27]', '[853, 853, 3*w^2 - 4*w - 12]', '[853, 853, 4*w - 3]', '[859, 859, w^2 + 3*w - 6]', '[881, 881, w^2 + 2*w - 20]', '[881, 881, 7*w + 19]', '[881, 881, 5*w^2 - 8*w - 31]', '[907, 907, 3*w^2 - 5*w - 24]', '[907, 907, 5*w - 18]', '[907, 907, w^2 - 4*w - 19]', '[911, 911, 4*w^2 + w - 24]', '[919, 919, 6*w^2 - 7*w - 52]', '[937, 937, 6*w^2 - 3*w - 47]', '[947, 947, 5*w^2 - 10*w - 18]', '[953, 953, 2*w^2 - 5*w - 16]', '[961, 31, 4*w^2 - 7*w - 16]', '[967, 967, 2*w^2 - 6*w - 25]', '[971, 971, 3*w^2 - 6*w - 19]', '[991, 991, -2*w - 11]', '[997, 997, 2*w^2 + w - 17]', '[997, 997, 2*w^2 - 5*w - 20]', '[997, 997, 4*w^2 - 7*w - 13]']}
50. label: 3.3.1620.1
    {'degree': 3, 'discriminant': 1620, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 2]', '[3, 3, w + 1]', '[4, 2, w^2 - 2*w - 8]', '[5, 5, -w - 3]', '[5, 5, -2*w^2 + 3*w + 19]', '[6, 6, 2*w^2 - 3*w - 20]', '[7, 7, -w^2 + 2*w + 7]', '[8, 2, 2]', '[9, 3, w^2 - w - 11]', '[10, 10, w^2 - w - 10]', '[10, 10, w^2 - w - 12]', '[12, 6, -w^2 + 2*w + 6]', '[13, 13, w^2 - 3*w - 5]', '[14, 14, w]', '[15, 15, w^2 - 2*w - 9]', '[15, 15, 2*w^2 - 4*w - 15]', '[16, 4, -2*w - 4]', '[17, 17, w^2 - w - 3]', '[18, 6, -w^2 + w + 8]', '[20, 10, -w^2 + 2*w + 10]', '[20, 10, w^2 - 2*w - 4]', '[21, 21, w^2 - 3*w - 7]', '[23, 23, -w + 3]', '[24, 6, 2*w + 2]', '[25, 5, -w^2 + 3*w + 3]', '[25, 5, -w^2 - w + 1]', '[25, 25, w - 1]', '[26, 26, w^2 - w - 4]', '[27, 3, 3]', '[28, 14, -w^2 - 2*w]', '[30, 30, w + 4]', '[30, 30, -w + 2]', '[32, 4, 2*w^2 - 4*w - 16]', '[34, 34, -2*w^2 + 3*w + 18]', '[35, 35, -w^2 + 4*w + 7]', '[35, 35, w^2 - w - 7]', '[36, 6, w^2 - 4*w - 8]', '[37, 37, 3*w + 5]', '[39, 39, w^2 + w - 3]', '[40, 10, -2*w - 6]', '[40, 10, -4*w^2 + 6*w + 38]', '[42, 42, w^2 + w]', '[43, 43, w^2 + 3*w + 3]', '[45, 15, -2*w^2 + 5*w + 13]', '[45, 15, -w^2 + w + 5]', '[46, 46, w^2 - w - 6]', '[47, 47, -w^2 + 3]', '[48, 12, 4*w^2 - 6*w - 40]', '[49, 7, -w^2 + 5]', '[49, 49, -5*w^2 + 7*w + 49]', '[50, 10, -w^2 + 3*w + 8]', '[50, 10, -2*w^2 + 3*w + 22]', '[50, 50, -w^2 - w + 2]', '[51, 51, -w + 5]', '[52, 26, 3*w^2 - 4*w - 32]', '[53, 53, -w^2 + w + 13]', '[54, 6, -3*w - 6]', '[56, 14, -2*w^2 + 4*w + 14]', '[60, 30, -w^2 + 16]', '[60, 30, w^2 - 4]', '[61, 61, -w^2 + 15]', '[61, 61, w^2 - 2*w - 13]', '[61, 61, -4*w - 5]', '[63, 21, 4*w^2 - 7*w - 35]', '[64, 4, 4]', '[65, 65, 2*w + 1]', '[65, 65, -w^2 - 4*w - 5]', '[67, 67, -2*w^2 + 6*w + 13]', '[68, 34, w^2 - 8]', '[69, 69, -w^2 + 2*w + 3]', '[70, 70, 3*w^2 - 5*w - 28]', '[70, 70, -w^2 - 3*w]', '[72, 6, 2*w^2 - 2*w - 22]', '[73, 73, 2*w^2 - 2*w - 17]', '[74, 74, -3*w^2 + 7*w + 20]', '[75, 15, -w^2 + 3*w + 13]', '[75, 15, -2*w^2 + 3*w + 17]', '[75, 75, w^2 - 1]', '[78, 78, 3*w^2 - 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14]', '[1920, 120, 4*w + 16]', '[1920, 120, -4*w + 8]', '[1921, 1921, w^2 - 14*w - 23]', '[1924, 962, 3*w^2 - 8*w - 34]', '[1926, 642, w^2 + 5*w - 2]', '[1929, 1929, -17*w^2 + 25*w + 171]', '[1930, 1930, 2*w^2 - 7*w - 34]', '[1930, 1930, -24*w^2 + 35*w + 234]', '[1932, 966, -13*w^2 + 20*w + 126]', '[1933, 1933, w^2 + 3*w + 9]', '[1934, 1934, -2*w^2 - w + 32]', '[1935, 645, -5*w^2 - 13*w + 1]', '[1935, 645, 11*w^2 - 17*w - 109]', '[1937, 1937, 7*w^2 - 15*w - 45]', '[1937, 1937, -5*w + 17]', '[1937, 1937, -17*w^2 + 36*w + 123]', '[1939, 1939, -10*w - 21]', '[1940, 970, -3*w^2 + 8*w + 30]', '[1940, 970, -15*w^2 + 22*w + 156]', '[1941, 1941, -10*w - 19]', '[1944, 18, 6*w^2 - 6*w - 66]', '[1945, 1945, w^2 + 8*w + 5]', '[1945, 1945, 6*w^2 - 9*w - 67]', '[1945, 1945, -w^2 + w - 5]', '[1945, 1945, 7*w^2 - 7*w - 79]', '[1945, 1945, -4*w^2 + 13*w + 15]', '[1945, 1945, -9*w^2 + 18*w + 71]', '[1948, 974, -3*w^2 - 2*w + 18]', '[1950, 390, 2*w^2 + 9*w + 4]', '[1950, 390, -2*w^2 + 3*w + 2]', '[1950, 1950, -8*w^2 + 15*w + 68]', '[1952, 244, -2*w^2 - 4*w + 8]', '[1952, 244, -10*w^2 + 16*w + 96]', '[1952, 244, 6*w^2 - 12*w - 32]', '[1954, 1954, -8*w^2 + 17*w + 60]', '[1955, 1955, 11*w + 13]', '[1955, 1955, -10*w^2 + 23*w + 67]', '[1956, 978, -7*w^2 + 20*w + 36]', '[1959, 1959, 7*w^2 - 14*w - 57]', '[1960, 70, -12*w^2 + 14*w + 130]', '[1960, 70, -10*w^2 + 14*w + 106]', '[1960, 490, 2*w^2 + 2*w - 14]', '[1960, 490, 2*w - 14]', '[1961, 1961, 2*w^2 - 8*w - 23]', '[1966, 1966, -4*w^2 - w + 26]', '[1967, 1967, -7*w^2 + 20*w + 35]', '[1967, 1967, -w^2 - 9*w - 7]', '[1967, 1967, 3*w^2 + w - 21]', '[1970, 1970, 9*w^2 - 9*w - 80]', '[1970, 1970, 11*w^2 - 17*w - 110]', '[1971, 219, 6*w^2 - 6*w - 51]', '[1973, 1973, -5*w^2 + 16*w + 17]', '[1974, 1974, 6*w^2 - 11*w - 56]', '[1975, 395, 6*w^2 + 16*w + 9]', '[1975, 395, 2*w^2 - 6*w - 1]', '[1975, 395, -w^2 + 9*w + 11]', '[1975, 395, -4*w^2 - 13*w - 13]', '[1975, 395, w^2 + 16*w + 19]', '[1975, 395, -9*w^2 + 22*w + 57]', '[1975, 1975, -w^2 - 4*w + 5]', '[1975, 1975, -4*w^2 + 6*w + 23]', '[1975, 1975, -6*w^2 + 11*w + 45]', '[1977, 1977, -2*w^2 + 12*w + 23]', '[1977, 1977, -4*w^2 + 6*w + 25]', '[1977, 1977, -14*w^2 + 18*w + 143]', '[1978, 1978, -17*w^2 + 25*w + 170]', '[1981, 1981, -w^2 + w + 21]', '[1985, 1985, -3*w^2 + w + 45]', '[1985, 1985, -4*w^2 + 3*w + 41]', '[1987, 1987, -7*w - 5]', '[1989, 663, 4*w^2 - 4*w - 29]', '[1990, 1990, 3*w^2 - 3*w - 40]', '[1990, 1990, 3*w - 16]', '[1990, 1990, -3*w^2 - 9*w - 10]', '[1990, 1990, 2*w^2 + w - 18]', '[1990, 1990, w^2 + 5*w - 34]', '[1990, 1990, -7*w^2 + 13*w + 54]', '[1992, 498, -4*w^2 + 18*w + 34]', '[1993, 1993, 3*w^2 - w - 39]', '[1994, 1994, -2*w^2 - 11*w - 8]', '[1997, 1997, w^2 - 10*w - 13]', '[1998, 222, -9*w^2 + 21*w + 60]', '[2000, 20, -10*w - 20]', '[2000, 100, -4*w^2 + 2*w + 52]', '[2000, 100, 4*w^2 - 6*w - 24]', '[2000, 500, -4*w^2 + 6*w + 48]', '[2003, 2003, 3*w^2 - 8*w - 33]', '[2004, 1002, -w^2 + 22]', '[2005, 2005, 3*w^2 - 8*w - 31]', '[2005, 2005, 4*w^2 + 4*w - 13]', '[2005, 2005, -5*w^2 + 4*w + 47]', '[2005, 2005, 4*w^2 - 3*w - 45]', '[2005, 2005, 37*w^2 - 54*w - 363]', '[2005, 2005, 8*w^2 - 18*w - 45]', '[2007, 669, 10*w^2 - 16*w - 41]', '[2008, 502, 2*w^2 + 4*w + 6]', '[2008, 502, -4*w^2 - 2*w + 18]', '[2008, 502, -2*w^2 - 10*w - 6]', '[2010, 2010, -2*w^2 + 13*w + 24]', '[2010, 2010, -10*w^2 + 23*w + 54]', '[2012, 1006, 7*w^2 - 12*w - 68]', '[2016, 84, 2*w^2 - 8*w - 28]', '[2017, 2017, -3*w^2 - 3*w - 1]', '[2019, 2019, 2*w^2 - 27*w - 41]', '[2021, 2021, 7*w^2 - 12*w - 71]', '[2022, 2022, -6*w^2 + 19*w + 40]', '[2023, 119, -w^2 + 12*w + 21]', '[2023, 2023, 10*w^2 - 12*w - 105]', '[2025, 45, -3*w^2 + 9*w + 39]', '[2025, 45, -6*w^2 + 9*w + 51]', '[2025, 225, 3*w^2 - 3]', '[2026, 2026, -6*w^2 - 15*w + 2]', '[2027, 2027, w - 13]', '[2028, 78, 3*w^2 - 8*w - 32]', '[2028, 1014, 3*w^2 - 8*w - 8]', '[2031, 2031, -2*w^2 - 3*w + 11]', '[2032, 508, -6*w^2 + 10*w + 68]', '[2034, 678, 4*w^2 - w - 32]', '[2036, 1018, 9*w^2 - 20*w - 58]', '[2036, 1018, -11*w^2 + 24*w + 78]', '[2036, 1018, -11*w^2 + 16*w + 104]', '[2037, 2037, w^2 - 2*w - 21]', '[2040, 510, 2*w^2 - 4*w - 30]', '[2040, 510, 4*w^2 - 14*w - 30]', '[2041, 2041, -5*w^2 + 18*w + 33]', '[2043, 681, -7*w^2 + 7*w + 83]', '[2044, 1022, -3*w^2 - 18*w - 28]', '[2045, 2045, 12*w^2 - 17*w - 115]', '[2045, 2045, 20*w^2 - 28*w - 197]', '[2045, 2045, 2*w^2 + 15*w + 27]', '[2045, 2045, 10*w^2 - 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127]', '[9941, 9941, 9*w^2 - 8*w - 87]', '[9942, 9942, -10*w^2 + 9*w + 34]', '[9943, 9943, -10*w^2 + 11*w + 37]', '[9943, 9943, -21*w^2 + 43*w + 155]', '[9943, 9943, 7*w^2 - 15*w - 69]', '[9945, 3315, 7*w^2 - 10*w - 23]', '[9945, 3315, 26*w^2 - 35*w - 271]', '[9946, 9946, 21*w + 50]', '[9950, 1990, 8*w^2 - 9*w - 64]', '[9950, 1990, 12*w^2 - 23*w - 102]', '[9950, 1990, -6*w^2 + 23*w + 48]', '[9950, 1990, -3*w^2 + 7*w + 48]', '[9950, 1990, -8*w^2 + 7*w + 88]', '[9950, 1990, -13*w^2 + 29*w + 74]', '[9950, 9950, -3*w^2 + 17*w + 36]', '[9950, 9950, -5*w^2 + 21*w + 34]', '[9950, 9950, -8*w^2 - 15*w - 2]', '[9954, 3318, 4*w^2 - 7*w - 56]', '[9954, 3318, -10*w^2 - 5*w + 14]', '[9954, 3318, 8*w^2 - 17*w - 70]', '[9958, 9958, 2*w^2 - 15*w - 34]', '[9959, 9959, 3*w^2 + 13*w + 3]', '[9960, 2490, 6*w^2 - 20*w - 26]', '[9960, 2490, 24*w^2 - 64*w - 118]', '[9961, 9961, -20*w^2 + 54*w + 105]', '[9962, 9962, 10*w^2 - 7*w - 130]', '[9964, 4982, w^2 - 10*w + 18]', '[9965, 9965, -8*w^2 + 6*w + 75]', '[9965, 9965, 60*w^2 - 88*w - 587]', '[9967, 9967, -17*w^2 + 31*w + 139]', '[9969, 9969, -19*w^2 + 27*w + 181]', '[9970, 9970, -7*w^2 + 15*w + 72]', '[9970, 9970, -13*w^2 + 23*w + 106]', '[9972, 1662, 13*w^2 - 22*w - 134]', '[9973, 9973, 5*w^2 - 8*w - 65]', '[9974, 9974, -5*w^2 - 27*w - 24]', '[9978, 9978, -7*w^2 + 11*w + 24]', '[9979, 9979, -9*w^2 + 7*w + 71]', '[9983, 9983, 9*w^2 - 22*w - 65]', '[9983, 9983, 27*w^2 - 40*w - 269]', '[9983, 9983, 9*w^2 - 5*w - 67]', '[9984, 312, -4*w^2 + 40]', '[9985, 9985, -9*w^2 + 19*w + 75]', '[9985, 9985, -20*w^2 + 43*w + 139]', '[9986, 9986, -16*w^2 + 33*w + 122]', '[9989, 9989, 8*w^2 - 11*w - 63]', '[9990, 1110, 6*w^2 + 3*w - 24]', '[9990, 1110, 6*w^2 - 15*w - 54]', '[9991, 9991, 6*w^2 - 6*w - 31]', '[9993, 9993, -54*w^2 + 77*w + 545]', '[9993, 9993, 3*w^2 - 14*w - 47]', '[9993, 9993, 6*w^2 - 4*w - 25]', '[9996, 714, 5*w^2 - 74]', '[9996, 4998, 5*w^2 - 12*w - 14]', '[10000, 100, -6*w^2 - 6*w + 16]', '[10000, 100, 10*w^2 - 10*w - 100]', '[10000, 100, 10*w^2 - 10*w - 120]', '[10000, 500, 8*w^2 - 14*w - 44]', '[10000, 2500, -18*w - 32]'], 'label': '3.3.1620.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -w - 2]', '[3, 3, w + 1]', '[5, 5, -w - 3]', '[5, 5, -2*w^2 + 3*w + 19]', '[7, 7, -w^2 + 2*w + 7]', '[13, 13, w^2 - 3*w - 5]', '[17, 17, w^2 - w - 3]', '[23, 23, -w + 3]', '[37, 37, 3*w + 5]', '[43, 43, w^2 + 3*w + 3]', '[47, 47, -w^2 + 3]', '[49, 7, -w^2 + 5]', '[53, 53, -w^2 + w + 13]', '[61, 61, -w^2 + 15]', '[61, 61, w^2 - 2*w - 13]', '[61, 61, -4*w - 5]', '[67, 67, -2*w^2 + 6*w + 13]', '[73, 73, 2*w^2 - 2*w - 17]', '[79, 79, -w - 5]', '[79, 79, 2*w^2 - 4*w - 17]', '[79, 79, w^2 - 3*w - 9]', '[83, 83, 2*w^2 - 4*w - 11]', '[97, 97, -3*w^2 + 5*w + 31]', '[103, 103, -4*w - 9]', '[107, 107, -w^2 + 4*w + 9]', '[113, 113, w^2 - 3*w - 11]', '[127, 127, 6*w^2 - 9*w - 59]', '[137, 137, -w^2 - w + 19]', '[149, 149, -7*w^2 + 11*w + 65]', '[149, 149, 2*w^2 - 4*w - 19]', '[149, 149, -3*w^2 + 4*w + 33]', '[157, 157, w^2 + w + 1]', '[163, 163, 2*w^2 - 5*w - 15]', '[167, 167, -3*w^2 + 4*w + 27]', '[169, 13, 2*w^2 - w - 17]', '[173, 173, 3*w^2 - 5*w - 25]', '[193, 193, 5*w^2 - 9*w - 43]', '[197, 197, -w^2 + 4*w + 15]', '[199, 199, 4*w^2 - 10*w - 25]', '[199, 199, w^2 - w - 1]', '[199, 199, w^2 - 4*w - 3]', '[223, 223, 3*w^2 - 8*w - 13]', '[227, 227, 2*w - 5]', '[229, 229, -w^2 + 17]', '[229, 229, w^2 + 4*w + 1]', '[229, 229, 2*w - 3]', '[233, 233, 5*w^2 - 8*w - 45]', '[239, 239, 2*w^2 - 3*w - 13]', '[239, 239, 7*w + 9]', '[239, 239, 2*w^2 + 3*w - 1]', '[251, 251, w^2 + 2*w + 3]', '[251, 251, -2*w^2 - w + 9]', '[251, 251, -w^2 - 5*w - 3]', '[257, 257, -3*w^2 - 10*w - 9]', '[263, 263, w^2 - 2*w - 1]', '[271, 271, -4*w^2 + 7*w + 33]', '[271, 271, w^2 - 4*w - 13]', '[271, 271, -3*w - 1]', '[277, 277, -6*w^2 + 10*w + 53]', '[281, 281, 2*w^2 - 6*w - 15]', '[281, 281, -7*w - 17]', '[281, 281, -w^2 + 5*w - 5]', '[283, 283, -2*w^2 + w + 13]', '[289, 17, -2*w^2 - 10*w - 9]', '[293, 293, 4*w^2 - 8*w - 29]', '[307, 307, 3*w^2 - 6*w - 19]', '[313, 313, -2*w^2 - 3*w + 3]', '[317, 317, -5*w^2 + 6*w + 51]', '[337, 337, 6*w^2 - 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6*w - 29]', '[529, 23, w^2 + 3*w - 3]', '[547, 547, -2*w^2 + w + 23]', '[557, 557, 4*w^2 - 10*w - 27]', '[563, 563, -2*w^2 - 5*w - 5]', '[577, 577, -3*w^2 + 3*w + 37]', '[587, 587, -2*w^2 + w + 29]', '[593, 593, -4*w^2 + 7*w + 19]', '[607, 607, w - 9]', '[613, 613, 6*w^2 - 9*w - 55]', '[617, 617, w^2 - 2*w - 17]', '[619, 619, -8*w - 13]', '[619, 619, -3*w^2 + 2*w + 37]', '[619, 619, 3*w^2 - 4*w - 23]', '[643, 643, 7*w + 15]', '[647, 647, -3*w^2 + 3*w + 23]', '[653, 653, -12*w^2 + 19*w + 111]', '[659, 659, 5*w^2 - 9*w - 45]', '[659, 659, -w^2 - 4*w + 1]', '[659, 659, 3*w^2 - 5*w - 19]', '[673, 673, -4*w^2 + 6*w + 15]', '[677, 677, 4*w^2 - 6*w - 45]', '[683, 683, 2*w^2 - 2*w - 27]', '[691, 691, 8*w^2 - 12*w - 75]', '[691, 691, -10*w^2 + 15*w + 99]', '[691, 691, -2*w + 11]', '[709, 709, -7*w^2 + 15*w + 51]', '[709, 709, w^2 + 9*w + 9]', '[709, 709, -5*w^2 + 6*w + 45]', '[727, 727, -4*w^2 + 2*w + 55]', '[733, 733, 2*w^2 - 6*w - 19]', '[743, 743, 3*w^2 - 7*w - 39]', '[751, 751, 2*w^2 - 6*w - 25]', '[751, 751, -6*w^2 + 10*w + 57]', '[751, 751, 4*w^2 - 8*w - 17]', '[757, 757, w^2 + 2*w + 5]', '[773, 773, 2*w^2 - 5*w - 5]', '[787, 787, -5*w^2 + 7*w + 55]', '[797, 797, -3*w^2 + w + 9]', '[823, 823, -12*w^2 + 17*w + 117]', '[827, 827, 9*w^2 - 12*w - 95]', '[853, 853, 2*w^2 + 2*w - 11]', '[857, 857, -w^2 - 7*w - 5]', '[863, 863, -7*w^2 + 16*w + 43]', '[877, 877, -5*w - 3]', '[883, 883, -2*w^2 - 7*w - 9]', '[887, 887, w^2 - 8*w - 11]', '[907, 907, 5*w^2 - 9*w - 39]', '[937, 937, 3*w^2 - 3*w - 13]', '[941, 941, -3*w^2 - w + 3]', '[941, 941, -2*w^2 + 7*w + 1]', '[941, 941, -6*w^2 + 13*w + 39]', '[947, 947, w^2 - 8*w - 25]', '[953, 953, -w^2 - 2*w + 25]', '[967, 967, -2*w^2 - 6*w + 1]', '[977, 977, 8*w + 15]', '[983, 983, 6*w^2 - 8*w - 55]', '[997, 997, 3*w^2 - 4*w - 17]']}
51. label: 3.3.1708.1
    {'degree': 3, 'discriminant': 1708, 'ideals': ['[1, 1, 1]', '[2, 2, -w]', '[2, 2, w^2 - 2*w - 5]', '[4, 2, w^2 + 2*w]', '[4, 2, -w^2 + w + 8]', '[4, 4, -w - 1]', '[5, 5, w^2 + 3*w + 1]', '[7, 7, -2*w^2 + 2*w + 17]', '[7, 7, -w^2 + w + 9]', '[8, 2, 2]', '[8, 4, 3*w^2 - 4*w - 22]', '[8, 4, w^2 + w]', '[8, 8, -w + 3]', '[10, 10, -2*w^2 + 3*w + 14]', '[10, 10, w - 1]', '[13, 13, 2*w + 1]', '[14, 14, w + 3]', '[14, 14, -w^2 - 2*w + 1]', '[14, 14, -w + 4]', '[14, 14, -w + 2]', '[16, 4, -2*w]', '[16, 4, w^2 - 2*w - 6]', '[16, 4, 2*w^2 - 4*w - 10]', '[16, 8, w^2 - w - 6]', '[16, 16, w^2 + 2*w + 1]', '[20, 10, -w^2 + 2*w + 4]', '[20, 10, -w^2 - w + 2]', '[20, 20, -2*w^2 + 5*w + 7]', '[25, 5, -3*w^2 + 5*w + 19]', '[25, 25, w^2 - 3*w - 3]', '[26, 26, -2*w^2 + 3*w + 15]', '[26, 26, -2*w^2 - 5*w - 2]', '[27, 3, 3]', '[28, 14, -w^2 - 3*w]', '[28, 14, w^2 - 2*w - 8]', '[28, 14, 3*w^2 - 7*w - 12]', '[28, 14, w^2 - 4]', '[28, 28, w^2 - 2*w - 7]', '[28, 28, 2*w^2 - 3*w - 13]', '[29, 29, w^2 + w - 1]', '[31, 31, w^2 - w - 1]', '[32, 4, 2*w^2 + 4*w]', '[32, 4, -2*w^2 + 2*w + 16]', '[32, 8, w^2 - 2*w - 2]', '[32, 8, -2*w - 2]', '[32, 16, -3*w^2 + 3*w + 26]', '[32, 32, w^2 - 2*w - 3]', '[35, 35, 2*w + 3]', '[35, 35, -w^2 + w + 5]', '[37, 37, 2*w^2 + 6*w + 3]', '[40, 10, 2*w^2 + 6*w + 2]', '[40, 20, w^2 - 6]', '[40, 20, w^2 - w - 10]', '[40, 40, -w^2 + 1]', '[41, 41, -6*w^2 - 14*w - 3]', '[49, 7, w^2 + w + 1]', '[49, 7, -2*w^2 - 6*w - 1]', '[49, 49, -2*w + 1]', '[50, 10, -2*w^2 + 5*w + 6]', '[50, 10, -w^2 + 3]', '[50, 50, w + 4]', '[50, 50, 3*w^2 + 6*w + 1]', '[52, 26, -w^2 + w + 4]', '[52, 26, -3*w^2 + 8*w + 8]', '[52, 52, -2*w^2 - 3*w - 1]', '[53, 53, -4*w^2 + 6*w + 27]', '[54, 6, -3*w]', '[54, 6, 3*w^2 - 6*w - 15]', '[56, 14, -4*w^2 + 4*w + 34]', '[56, 14, -2*w^2 + 2*w + 18]', '[56, 28, w^2 - 3*w - 4]', '[56, 28, w^2 - w - 2]', '[56, 28, w^2 - 2]', '[56, 28, -w^2 - 4*w - 2]', '[56, 56, -3*w^2 + 2*w + 29]', '[56, 56, -w^2 - 4*w - 3]', '[58, 58, -2*w^2 - 7*w - 2]', '[58, 58, -w + 5]', '[59, 59, 2*w^2 - 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13]', '[100, 50, -w^2 - 4*w]', '[100, 50, 3*w^2 - 5*w - 18]', '[100, 100, w^2 - 2*w + 1]', '[101, 101, w^2 + 3*w - 1]', '[101, 101, w^2 - w - 11]', '[101, 101, 2*w - 5]', '[103, 103, 3*w^2 - 3*w - 23]', '[103, 103, -w^2 + w - 1]', '[103, 103, 2*w - 3]', '[104, 26, 4*w + 2]', '[104, 52, w^2 + w - 16]', '[104, 52, w^2 - 10]', '[104, 104, w^2 - 2*w - 11]', '[106, 106, -w^2 + 6*w + 1]', '[106, 106, -2*w^2 + 5*w + 8]', '[107, 107, 5*w^2 - 7*w - 37]', '[108, 6, 3*w^2 + 6*w]', '[108, 6, -3*w^2 + 3*w + 24]', '[108, 12, -3*w - 3]', '[112, 28, 2*w + 6]', '[112, 28, -2*w^2 - 4*w + 2]', '[112, 28, -w^2 - 6*w - 2]', '[112, 28, 7*w^2 - 10*w - 50]', '[112, 28, -2*w + 8]', '[112, 28, -2*w + 4]', '[112, 56, w^2 - 5*w + 6]', '[112, 56, w^2 - 7*w + 12]', '[112, 112, w + 5]', '[112, 112, -w^2 + 9]', '[116, 58, 3*w^2 - 6*w - 16]', '[116, 58, w^2 - 3*w - 10]', '[116, 116, -3*w^2 - 8*w - 1]', '[118, 118, 2*w^2 - 5*w - 4]', '[118, 118, -3*w^2 - 2*w + 43]', '[122, 122, -3*w + 11]', '[122, 122, 3*w + 4]', '[122, 122, -5*w - 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3*w - 9]', '[151, 151, 5*w^2 - 7*w - 35]', '[151, 151, 6*w + 1]', '[155, 155, 4*w^2 - 4*w - 35]', '[160, 20, -2*w^2 + 4*w + 8]', '[160, 20, -2*w^2 - 2*w + 4]', '[160, 40, 3*w^2 + 10*w + 2]', '[160, 40, -4*w^2 + 10*w + 14]', '[160, 80, -w^2 + 3*w + 8]', '[160, 160, 2*w^2 + 7*w + 1]', '[163, 163, -2*w^2 + 2*w + 19]', '[164, 82, -w^2 + 4*w + 4]', '[164, 82, w^2 + 9*w + 2]', '[164, 164, -3*w^2 + 8*w + 7]', '[169, 13, 4*w^2 - 6*w - 29]', '[169, 169, 5*w^2 + 11*w + 1]', '[173, 173, 3*w^2 - w - 33]', '[173, 173, 2*w^2 - 4*w - 17]', '[173, 173, -6*w^2 - 14*w - 1]', '[175, 35, -w^2 + 5*w + 3]', '[175, 35, -2*w^2 + 1]', '[175, 175, 4*w^2 - 8*w - 21]', '[175, 175, -4*w^2 - 10*w - 1]', '[179, 179, -4*w^2 - 8*w - 1]', '[181, 181, -2*w^2 - 2*w + 1]', '[181, 181, w^2 + 5*w + 3]', '[181, 181, -4*w^2 - 8*w + 1]', '[182, 182, 5*w - 17]', '[182, 182, 2*w^2 + 7*w + 3]', '[182, 182, -3*w - 8]', '[182, 182, 2*w^2 - w - 14]', '[185, 185, 2*w^2 - 4*w - 13]', '[189, 21, -6*w^2 + 6*w + 51]', '[189, 21, -3*w^2 + 3*w + 27]', '[191, 191, 3*w^2 + 7*w + 3]', '[191, 191, 4*w^2 - 6*w - 31]', '[191, 191, 4*w^2 - 4*w - 33]', '[193, 193, -4*w - 3]', '[194, 194, -4*w^2 + 5*w + 28]', '[194, 194, -w^2 - 2*w - 3]', '[196, 14, w^2 + 3*w + 4]', '[196, 14, w^2 - 4*w + 4]', '[196, 14, -w^2 - w + 6]', '[196, 14, w^2 - 6*w + 8]', '[196, 28, -3*w^2 - 10*w - 3]', '[196, 28, 8*w^2 - 11*w - 59]', '[196, 98, -5*w^2 - 14*w - 4]', '[196, 98, -w^2 + w + 12]', '[196, 196, 2*w^2 + w - 1]', '[200, 10, -6*w^2 + 10*w + 38]', '[200, 20, -w^2 - 2]', '[200, 20, -w^2 + 5*w - 2]', '[200, 40, 2*w^2 + 5*w - 1]', '[200, 50, 2*w^2 - 6*w - 6]', '[200, 100, -5*w^2 + 4*w + 46]', '[200, 100, -w^2 - 5*w - 4]', '[200, 200, -6*w^2 + 7*w + 49]', '[202, 202, -2*w^2 + 5*w + 9]', '[202, 202, -8*w^2 + 13*w + 51]', '[202, 202, -2*w^2 + 5*w]', '[202, 202, -6*w^2 - 13*w]', '[202, 202, 3*w - 2]', '[202, 202, -7*w^2 + 16*w + 29]', '[203, 203, 3*w^2 - 5*w - 21]', '[203, 203, 2*w^2 - 2*w - 11]', '[205, 205, 2*w^2 - 4*w - 3]', '[206, 206, -w - 6]', '[206, 206, 2*w^2 + 7*w + 4]', '[206, 206, -2*w^2 + 3*w]', '[206, 206, -4*w^2 - 7*w - 1]', '[206, 206, 5*w^2 - 6*w - 41]', '[206, 206, -5*w^2 + 12*w + 19]', '[208, 52, -4*w^2 + 6*w + 30]', '[208, 52, -w^2 + 2*w - 2]', '[208, 52, -4*w^2 - 10*w - 4]', '[208, 104, w^2 + 3*w - 2]', '[208, 208, -7*w^2 + 10*w + 49]', '[212, 106, -w^2 + 11*w - 26]', '[212, 106, -3*w^2 + 8*w + 4]', '[212, 212, 2*w^2 - w - 19]', '[214, 214, 2*w^2 + w + 1]', '[214, 214, 2*w^2 - 3*w - 10]', '[216, 6, 6]', '[216, 12, 9*w^2 - 12*w - 66]', '[216, 12, 3*w^2 + 3*w]', '[216, 24, -3*w + 9]', '[217, 217, 3*w^2 - 7*w - 13]', '[217, 217, 2*w^2 - 4*w - 7]', '[223, 223, -2*w^2 - 2*w + 3]', '[224, 28, -2*w^2 - 6*w]', '[224, 28, 2*w^2 - 4*w - 16]', '[224, 28, 6*w^2 - 14*w - 24]', '[224, 28, 2*w^2 - 8]', '[224, 56, 2*w^2 - 4*w - 14]', '[224, 56, 4*w^2 - 6*w - 26]', '[224, 56, 5*w^2 - 10*w - 26]', '[224, 56, 3*w^2 - 6*w - 14]', '[224, 112, -w^2 - 5*w]', '[224, 112, w^2 - w + 2]', '[224, 224, 4*w^2 - 7*w - 23]', '[224, 224, 7*w^2 - 12*w - 43]', '[227, 227, 7*w^2 + 19*w + 5]', '[229, 229, -w^2 + 7*w + 1]', '[232, 58, 2*w^2 + 2*w - 2]', '[232, 116, -3*w^2 + 4*w + 26]', '[232, 116, -5*w^2 + 5*w + 42]', '[232, 232, w^2 - 4*w - 5]', '[233, 233, -2*w - 7]', '[236, 118, -w^2 - 2*w + 4]', '[236, 118, 11*w^2 - 15*w - 80]', '[236, 236, -w + 7]', '[239, 239, 2*w^2 - 4*w - 15]', '[241, 241, -3*w^2 + 5*w + 17]', '[244, 122, 3*w^2 - 5*w - 22]', '[244, 122, 5*w^2 + 12*w + 4]', '[244, 122, -3*w^2 - 10*w - 8]', '[244, 122, -13*w^2 + 17*w + 100]', '[244, 244, -w^2 - 4*w + 1]', '[244, 244, 2*w^2 + w - 9]', '[245, 35, -6*w^2 + 8*w + 43]', '[245, 35, -3*w^2 + 5*w + 23]', '[245, 245, -11*w^2 + 15*w + 81]', '[248, 62, 2*w^2 - 2*w - 2]', '[248, 124, -w^2 + 14]', '[248, 124, -w^2 - 3*w + 22]', '[248, 248, -2*w^2 + w + 15]', '[250, 10, -5*w]', '[250, 10, 5*w^2 - 10*w - 25]', '[250, 250, 2*w^2 - 3*w - 19]', '[250, 250, 2*w^2 + w - 28]', '[251, 251, -6*w^2 + 12*w + 31]', '[254, 254, -2*w^2 - 3*w - 2]', '[254, 254, -4*w^2 + 7*w + 25]', '[256, 8, 4*w^2 + 8*w]', '[256, 8, -4*w^2 + 4*w + 32]', '[256, 16, -3*w^2 + 2*w + 30]', '[256, 16, 2*w^2 - 4*w - 4]', '[256, 16, -4*w - 4]', '[256, 32, -6*w^2 + 6*w + 52]', '[256, 64, 2*w^2 - 4*w - 6]', '[256, 128, 3*w^2 + 5*w - 2]', '[256, 256, 4*w^2 - 11*w - 11]', '[257, 257, 4*w^2 - 4*w - 31]', '[259, 259, -4*w^2 + 4*w + 27]', '[259, 259, -w^2 + 5*w + 15]', '[260, 130, -5*w^2 - 13*w - 2]', '[260, 130, w^2 - 4*w - 12]', '[260, 260, 3*w^2 - 4*w - 19]', '[263, 263, 9*w^2 - 11*w - 67]', '[265, 265, -w^2 - w + 7]', '[269, 269, 2*w^2 + 6*w + 5]', '[270, 30, -6*w^2 + 9*w + 42]', '[270, 30, 3*w - 3]', '[271, 271, 2*w^2 - 4*w - 5]', '[271, 271, -4*w + 13]', '[271, 271, -2*w^2 - 8*w - 7]', '[277, 277, -3*w^2 + 3*w + 19]', '[278, 278, 2*w^2 - w - 18]', '[278, 278, 5*w + 3]', '[280, 70, 4*w + 6]', '[280, 70, -2*w^2 + 2*w + 10]', '[280, 140, 11*w^2 - 13*w - 88]', '[280, 140, -5*w^2 + 12*w + 18]', '[280, 140, -3*w^2 + 8*w + 10]', '[280, 140, -3*w^2 - 5*w - 2]', '[280, 280, -2*w^2 + 3*w + 9]', '[280, 280, -3*w^2 + 6*w + 17]', '[281, 281, -6*w^2 + 10*w + 37]', '[283, 283, 2*w^2 + 4*w - 3]', '[283, 283, 2*w^2 + 8*w + 3]', '[283, 283, -3*w^2 - 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13*w - 37]', '[1897, 1897, 8*w^2 + 16*w - 1]', '[1897, 1897, 12*w^2 - 22*w - 69]', '[1897, 1897, -w^2 - 9*w - 11]', '[1897, 1897, 5*w^2 - 11*w - 47]', '[1897, 1897, 12*w^2 - 14*w - 87]', '[1898, 1898, 7*w - 3]', '[1898, 1898, -8*w^2 + 13*w + 54]', '[1901, 1901, w^2 + 9*w + 7]', '[1906, 1906, -2*w^2 - 11*w - 6]', '[1906, 1906, -6*w^2 + 5*w + 57]', '[1907, 1907, 3*w^2 - 5*w - 31]', '[1907, 1907, 7*w^2 - 9*w - 47]', '[1907, 1907, -w^2 - 5*w - 11]', '[1910, 1910, -4*w^2 - 15*w - 6]', '[1910, 1910, -6*w^2 + 7*w + 39]', '[1910, 1910, -2*w^2 + 7*w + 20]', '[1910, 1910, -4*w^2 + 3*w + 41]', '[1910, 1910, 14*w^2 + 35*w + 6]', '[1910, 1910, 7*w^2 + 20*w + 3]', '[1912, 478, 4*w^2 - 8*w - 30]', '[1912, 956, -3*w^2 - 11*w]', '[1912, 956, 15*w^2 + 36*w + 10]', '[1912, 1912, 8*w^2 - 13*w - 49]', '[1913, 1913, w^2 - 7*w - 15]', '[1913, 1913, w^2 + 3*w - 13]', '[1913, 1913, 4*w^2 - 8*w - 13]', '[1915, 1915, w^2 + 5*w - 31]', '[1916, 958, -w^2 - 4*w + 28]', '[1916, 958, 5*w^2 - 11*w - 6]', '[1916, 958, 15*w^2 - 21*w - 118]', '[1916, 958, 15*w^2 + 40*w + 16]', '[1916, 958, -19*w^2 + 33*w + 114]', '[1916, 958, -w^2 + 8*w - 4]', '[1916, 1916, -10*w^2 + 13*w + 71]', '[1916, 1916, w^2 - 16*w + 43]', '[1916, 1916, -5*w^2 - 8*w + 9]', '[1922, 62, 2*w^2 - 7*w - 14]', '[1922, 62, -4*w^2 - 17*w - 3]', '[1922, 1922, -20*w^2 + 27*w + 146]', '[1922, 1922, w - 13]', '[1924, 962, -w^2 - 4*w + 8]', '[1924, 962, -11*w^2 - 25*w]', '[1924, 1924, 14*w^2 - 17*w - 103]', '[1928, 482, -6*w^2 + 10*w + 34]', '[1928, 964, 5*w^2 + 16*w + 2]', '[1928, 964, -3*w^2 + 3*w - 2]', '[1928, 1928, -11*w^2 + 22*w + 57]', '[1930, 1930, -4*w^2 + w + 3]', '[1930, 1930, 2*w^2 - w - 26]', '[1931, 1931, -5*w^2 + 9*w + 39]', '[1933, 1933, 5*w^2 + 17*w + 11]', '[1933, 1933, 4*w^2 - 4*w - 21]', '[1933, 1933, 14*w^2 - 20*w - 101]', '[1934, 1934, 4*w^2 + 3*w - 3]', '[1934, 1934, -4*w^2 + 5*w + 38]', '[1937, 1937, 6*w - 23]', '[1937, 1937, -3*w^2 - w - 3]', '[1937, 1937, -14*w^2 + 46*w + 7]', '[1939, 1939, -22*w^2 + 28*w + 165]', '[1939, 1939, -41*w^2 + 53*w + 311]', '[1940, 970, 11*w^2 + 26*w + 8]', '[1940, 970, 5*w^2 - 9*w - 36]', '[1940, 1940, -2*w^2 - 9*w + 1]', '[1945, 1945, -12*w^2 - 34*w - 9]', '[1946, 1946, -14*w^2 + 39*w + 34]', '[1946, 1946, 4*w^2 + 15*w + 2]', '[1946, 1946, -3*w^2 + 8*w + 17]', '[1946, 1946, -6*w^2 + 11*w + 31]', '[1948, 974, -7*w^2 - 5*w]', '[1948, 974, -w^2 + 2*w - 8]', '[1948, 1948, -2*w^2 + 11*w - 11]', '[1949, 1949, -14*w^2 + 26*w + 79]', '[1952, 244, 6*w^2 - 10*w - 44]', '[1952, 244, 10*w^2 + 24*w + 8]', '[1952, 244, -6*w^2 - 20*w - 16]', '[1952, 244, -26*w^2 + 34*w + 200]', '[1952, 488, -2*w^2 - 8*w + 2]', '[1952, 488, w^2 - 2*w - 18]', '[1952, 488, 3*w^2 - 6*w + 2]', '[1952, 488, 4*w^2 + 2*w - 18]', '[1952, 976, 11*w^2 - 17*w - 72]', '[1952, 976, -43*w^2 + 55*w + 326]', '[1952, 1952, 3*w^2 - 4*w - 31]', '[1952, 1952, 2*w^2 - 5*w + 5]', '[1960, 70, -12*w^2 + 16*w + 86]', '[1960, 70, -6*w^2 + 10*w + 46]', '[1960, 140, -13*w^2 + 24*w + 74]', '[1960, 140, 5*w^2 + 12*w - 2]', '[1960, 140, -w^2 - w - 8]', '[1960, 140, 3*w^2 + 9*w - 2]', '[1960, 280, -11*w^2 + 16*w + 75]', '[1960, 280, -20*w^2 + 29*w + 141]', '[1960, 490, -22*w^2 + 30*w + 162]', '[1960, 980, -w^2 - 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15*w - 1]', '[701, 701, 3*w^2 + 3*w - 5]', '[709, 709, -3*w^2 - 5*w - 3]', '[733, 733, -6*w - 5]', '[743, 743, -2*w^2 - 2*w - 3]', '[743, 743, 4*w - 5]', '[743, 743, 6*w^2 - 6*w - 49]', '[751, 751, -6*w^2 - 12*w + 1]', '[757, 757, w^2 - 5*w - 9]', '[757, 757, -w^2 - w - 5]', '[757, 757, 4*w^2 - 8*w - 23]', '[773, 773, -8*w^2 + 14*w + 47]', '[787, 787, 8*w^2 - 10*w - 65]', '[797, 797, 9*w^2 - 13*w - 65]', '[811, 811, 6*w^2 - 8*w - 41]', '[821, 821, 6*w^2 - 6*w - 53]', '[823, 823, -4*w^2 - 6*w + 1]', '[823, 823, 9*w^2 + 19*w + 5]', '[823, 823, w^2 - 7*w - 5]', '[827, 827, -3*w^2 - 3*w + 47]', '[829, 829, -4*w^2 + 4*w + 37]', '[841, 29, 5*w^2 - 9*w - 27]', '[853, 853, 11*w^2 - 15*w - 79]', '[857, 857, -9*w^2 + 21*w + 35]', '[863, 863, 3*w^2 + 11*w + 5]', '[877, 877, 4*w - 7]', '[881, 881, -3*w^2 + w - 1]', '[887, 887, 2*w^2 - 19]', '[911, 911, -8*w^2 + 6*w + 75]', '[919, 919, 10*w^2 + 22*w - 1]', '[929, 929, -4*w^2 - 6*w + 3]', '[937, 937, 3*w^2 + 11*w + 7]', '[947, 947, -6*w - 7]', '[947, 947, 10*w^2 - 12*w - 81]', '[947, 947, 2*w^2 - 10*w - 5]', '[953, 953, 3*w^2 - w - 13]', '[961, 31, 7*w^2 - 9*w - 49]', '[967, 967, 6*w^2 - 14*w - 25]', '[983, 983, -10*w^2 - 22*w - 1]', '[991, 991, 3*w^2 - w - 21]', '[997, 997, 3*w^2 - 5*w - 5]', '[997, 997, -2*w^2 - 10*w - 1]', '[997, 997, -8*w + 27]']}
52. label: 3.3.1765.1
    {'degree': 3, 'discriminant': 1765, 'ideals': ['[1, 1, 1]', '[2, 2, -w + 2]', '[4, 2, -w^2 - w + 9]', '[4, 4, -2*w^2 - w + 20]', '[5, 5, -2*w^2 - w + 21]', '[5, 5, w - 1]', '[8, 2, 2]', '[8, 8, w^2 + w - 8]', '[10, 10, -3*w^2 - 2*w + 30]', '[10, 10, -w^2 - w + 10]', '[13, 13, -2*w^2 - w + 19]', '[13, 13, w^2 - 9]', '[13, 13, 3*w^2 + 2*w - 29]', '[16, 4, -2*w + 4]', '[16, 4, w^2 + 3*w - 7]', '[16, 16, -w]', '[17, 17, -w^2 - 2*w + 7]', '[20, 10, -w^2 - w + 5]', '[20, 10, -w^2 - w + 7]', '[20, 20, -w^2 - w + 12]', '[20, 20, -w + 4]', '[23, 23, -w^2 + 3]', '[25, 5, w^2 - 2*w + 1]', '[25, 5, -w^2 + 11]', '[25, 25, w + 1]', '[26, 26, -w - 2]', '[26, 26, -w^2 - w + 6]', '[26, 26, w^2 - 10]', '[27, 3, -3]', '[31, 31, -w^2 + 7]', '[32, 4, -2*w^2 - 2*w + 18]', '[32, 8, -4*w^2 - 2*w + 40]', '[32, 32, w^2 - 2*w]', '[34, 34, w^2 - 2]', '[40, 10, -4*w^2 - 2*w + 42]', '[40, 10, 2*w - 2]', '[40, 40, w^2 + 3*w - 8]', '[40, 40, w^2 + 2*w - 8]', '[43, 43, w^2 - 13]', '[46, 46, -2*w^2 - w + 22]', '[47, 47, 2*w^2 + 3*w - 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2*w + 9]', '[86, 86, w^2 + 2*w - 10]', '[89, 89, 2*w^2 + 6*w - 15]', '[92, 46, w^2 - 3*w - 1]', '[92, 92, -w^2 - 2*w + 12]', '[94, 94, -w^2 - 5*w + 10]', '[97, 97, w^2 + 2*w - 11]', '[100, 10, -w^2 - 3*w + 9]', '[100, 10, -w^2 - 5*w + 11]', '[100, 20, -2*w^2 - 5*w + 12]', '[100, 20, -w^2 - 3*w + 4]', '[100, 50, -3*w^2 - 3*w + 25]', '[100, 100, -5*w^2 - 3*w + 52]', '[101, 101, 2*w^2 + w - 17]', '[104, 26, -4*w^2 - 2*w + 38]', '[104, 26, 2*w^2 - 18]', '[104, 26, 6*w^2 + 4*w - 58]', '[104, 104, -4*w^2 - 3*w + 40]', '[104, 104, w^2 + 4*w - 8]', '[104, 104, 7*w^2 + 4*w - 72]', '[108, 6, 3*w^2 + 3*w - 27]', '[108, 12, 6*w^2 + 3*w - 60]', '[113, 113, -6*w^2 - 3*w + 61]', '[115, 115, 2*w^2 - w - 13]', '[115, 115, 5*w^2 + 2*w - 47]', '[118, 118, w^2 - 6*w + 6]', '[122, 122, 3*w^2 + w - 30]', '[122, 122, -w^2 + 7*w - 10]', '[122, 122, w^2 - 14]', '[124, 62, -3*w^2 - w + 31]', '[124, 124, -9*w^2 - 6*w + 92]', '[125, 5, 5]', '[125, 25, w^2 - 1]', '[125, 25, -2*w^2 - w + 23]', '[125, 125, -5*w^2 - 2*w + 53]', '[127, 127, 2*w^2 - 25]', '[128, 8, -4*w + 8]', '[128, 8, 2*w^2 + 6*w - 14]', '[128, 32, -2*w]', '[128, 128, -2*w^2 - 3*w + 16]', '[130, 130, -5*w^2 - 4*w + 46]', '[130, 130, -w^2 + 2*w - 2]', '[130, 130, -w^2 - w + 2]', '[130, 130, -w^2 - 4*w + 10]', '[130, 130, -2*w^2 - w + 6]', '[130, 130, w - 6]', '[135, 15, 6*w^2 + 3*w - 63]', '[135, 15, -3*w + 3]', '[136, 34, -2*w^2 - 4*w + 14]', '[136, 136, -w^2 + w + 8]', '[139, 139, -2*w^2 + 23]', '[142, 142, -3*w + 10]', '[146, 146, -w^2 - w + 14]', '[149, 149, 3*w^2 + 2*w - 27]', '[151, 151, 5*w - 9]', '[155, 155, -10*w^2 - 6*w + 99]', '[155, 155, -4*w + 9]', '[157, 157, 3*w^2 + 4*w - 21]', '[158, 158, -w^2 - 3*w + 10]', '[160, 20, -2*w^2 - 2*w + 10]', '[160, 20, -2*w^2 - 2*w + 14]', '[160, 40, -2*w^2 - 2*w + 24]', '[160, 40, -2*w + 8]', '[160, 160, 2*w^2 + w - 16]', '[160, 160, 5*w^2 + 3*w - 48]', '[166, 166, -2*w^2 + 5*w - 2]', '[167, 167, 2*w^2 - 19]', '[169, 13, 2*w^2 + 5*w - 11]', '[169, 13, -2*w^2 + 3*w + 1]', '[169, 13, 3*w^2 + 4*w - 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w - 30]', '[9967, 9967, 4*w^2 - 28*w + 31]', '[9971, 767, -10*w^2 + 28*w - 21]', '[9971, 767, 10*w^2 + 9*w - 37]', '[9971, 767, 8*w^2 + 20*w - 57]', '[9971, 9971, 3*w^2 + 12*w - 37]', '[9971, 9971, -13*w^2 - 8*w + 119]', '[9971, 9971, w^2 - 24*w + 39]', '[9980, 4990, -3*w^2 - w - 1]', '[9980, 4990, -w^2 + w - 15]', '[9980, 4990, -7*w^2 - w + 51]', '[9980, 4990, -7*w^2 + w + 13]', '[9980, 4990, -17*w^2 - 9*w + 161]', '[9980, 4990, -5*w^2 + 3*w + 3]', '[9980, 9980, 7*w^2 - 6*w - 36]', '[9980, 9980, 7*w^2 - 17*w - 4]', '[9980, 9980, 7*w^2 - 19*w + 4]', '[9980, 9980, 29*w^2 + 16*w - 300]', '[9980, 9980, 9*w^2 - 4*w - 60]', '[9980, 9980, 7*w^2 + 3*w - 84]', '[9985, 9985, 10*w^2 + 2*w - 107]', '[9985, 9985, w^2 - 6*w - 17]', '[9992, 2498, 2*w^2 + 12*w - 42]', '[9992, 9992, -4*w^2 + 3*w + 40]', '[9995, 9995, 48*w^2 + 36*w - 457]', '[9995, 9995, 10*w^2 + 14*w - 59]', '[9997, 9997, -57*w^2 - 32*w + 573]', '[9997, 9997, -4*w^2 - 11*w + 41]', '[9997, 9997, -2*w^2 + 22*w - 39]', '[9998, 9998, w^2 + 15*w - 34]', '[10000, 100, -6*w^2 + 12*w + 4]', '[10000, 100, 9*w^2 + 7*w - 31]', '[10000, 100, 5*w^2 - 5*w - 35]', '[10000, 100, -30*w^2 - 20*w + 300]', '[10000, 100, -10*w^2 - 10*w + 100]', '[10000, 100, 15*w^2 + 5*w - 145]', '[10000, 400, -w^2 + 2*w - 16]', '[10000, 400, 15*w^2 + 5*w - 160]', '[10000, 400, -5*w^2 + 5*w]', '[10000, 500, 3*w^2 - 15*w + 7]', '[10000, 500, -4*w^2 - 10*w + 44]', '[10000, 2000, 2*w^2 - 5*w - 32]', '[10000, 2500, 33*w^2 + 19*w - 339]', '[10000, 2500, -2*w^2 - 16*w + 36]', '[10000, 10000, -3*w^2 - 12*w + 16]'], 'label': '3.3.1765.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w + 2]', '[4, 2, -w^2 - w + 9]', '[5, 5, -2*w^2 - w + 21]', '[5, 5, w - 1]', '[13, 13, -2*w^2 - w + 19]', '[13, 13, w^2 - 9]', '[13, 13, 3*w^2 + 2*w - 29]', '[17, 17, -w^2 - 2*w + 7]', '[23, 23, -w^2 + 3]', '[27, 3, -3]', '[31, 31, -w^2 + 7]', '[43, 43, w^2 - 13]', '[47, 47, 2*w^2 + 3*w - 11]', '[59, 59, w^2 - 5]', '[61, 61, 5*w^2 + 4*w - 47]', '[61, 61, 4*w - 7]', '[61, 61, w - 5]', '[71, 71, -2*w^2 - 2*w + 21]', '[73, 73, -2*w^2 + 4*w - 1]', '[79, 79, w + 5]', '[83, 83, 2*w - 1]', '[89, 89, 2*w^2 + 6*w - 15]', '[97, 97, w^2 + 2*w - 11]', '[101, 101, 2*w^2 + w - 17]', '[113, 113, -6*w^2 - 3*w + 61]', '[127, 127, 2*w^2 - 25]', '[139, 139, -2*w^2 + 23]', '[149, 149, 3*w^2 + 2*w - 27]', '[151, 151, 5*w - 9]', '[157, 157, 3*w^2 + 4*w - 21]', '[167, 167, 2*w^2 - 19]', '[173, 173, 2*w + 5]', '[173, 173, 3*w^2 + 2*w - 33]', '[173, 173, 5*w - 7]', '[179, 179, -4*w^2 - 6*w + 19]', '[193, 193, w^2 - 2*w - 5]', '[193, 193, 2*w^2 + 3*w - 17]', '[193, 193, 2*w^2 + 2*w - 13]', '[197, 197, -2*w^2 - 2*w + 7]', '[199, 199, 2*w^2 + 2*w - 11]', '[211, 211, 3*w^2 + 4*w - 13]', '[223, 223, 2*w^2 + 4*w - 15]', '[229, 229, -3*w^2 + 37]', '[233, 233, w - 7]', '[239, 239, w^2 - 15]', '[241, 241, w^2 + 4*w - 11]', '[251, 251, 2*w^2 - 2*w - 3]', '[257, 257, 4*w^2 + 4*w - 17]', '[257, 257, w^2 + 2*w - 1]', '[257, 257, -w^2 - 6*w + 13]', '[263, 263, -2*w^2 + 2*w + 1]', '[263, 263, 2*w^2 - 5*w + 1]', '[263, 263, 2*w^2 + 5*w - 15]', '[277, 277, -2*w^2 - 7*w + 17]', '[283, 283, -8*w^2 - 4*w + 81]', '[289, 17, 2*w^2 + 3*w - 23]', '[293, 293, 2*w^2 + w - 9]', '[307, 307, 2*w^2 - w - 5]', '[311, 311, w^2 + 6*w - 11]', '[311, 311, -3*w + 11]', '[311, 311, 3*w^2 - 7]', '[317, 317, 5*w^2 + 2*w - 51]', '[331, 331, 3*w^2 + 4*w - 25]', '[331, 331, 3*w - 1]', '[331, 331, 2*w^2 - 13]', '[337, 337, w^2 - 8*w + 9]', '[343, 7, -7]', '[353, 353, 2*w^2 + 3*w - 21]', '[353, 353, 2*w^2 + 3*w - 7]', '[359, 359, 5*w^2 + 4*w - 45]', '[367, 367, 2*w^2 + 3*w - 27]', '[367, 367, 3*w^2 - 35]', '[367, 367, -2*w^2 - 8*w + 17]', '[379, 379, 2*w^2 + w - 5]', '[383, 383, w^2 + 2*w - 17]', '[397, 397, -w^2 + 4*w - 7]', '[401, 401, -3*w^2 - 8*w + 19]', '[409, 409, w^2 - 2*w - 7]', '[419, 419, -w^2 - 4*w + 1]', '[421, 421, w^2 + 4*w - 13]', '[421, 421, 2*w^2 + 4*w - 17]', '[421, 421, 2*w^2 + w - 25]', '[431, 431, -4*w^2 - 10*w + 25]', '[431, 431, 4*w^2 + 3*w - 35]', '[431, 431, 4*w^2 + 5*w - 33]', '[433, 433, -w^2 - 1]', '[433, 433, 2*w^2 - 3*w - 3]', '[433, 433, 8*w^2 + 6*w - 75]', '[439, 439, 4*w + 13]', '[439, 439, -7*w^2 - 6*w + 65]', '[439, 439, 6*w^2 + 5*w - 57]', '[449, 449, 2*w^2 - 11]', '[461, 461, 2*w^2 - w - 17]', '[463, 463, -4*w^2 - 5*w + 17]', '[463, 463, 2*w^2 - 9]', '[463, 463, -4*w^2 - 10*w + 27]', '[479, 479, w^2 + 4*w - 3]', '[487, 487, 6*w^2 + 6*w - 53]', '[487, 487, 4*w - 3]', '[487, 487, 2*w^2 - 2*w - 7]', '[491, 491, 5*w^2 + 6*w - 23]', '[499, 499, 2*w^2 - w - 29]', '[499, 499, 2*w^2 - w - 7]', '[499, 499, 2*w^2 - w - 9]', '[509, 509, w^2 - 4*w - 1]', '[509, 509, 7*w^2 + 4*w - 67]', '[509, 509, 6*w - 13]', '[529, 23, 8*w^2 + 5*w - 77]', '[547, 547, 4*w^2 + w - 41]', '[569, 569, -2*w^2 + 4*w - 3]', '[593, 593, -4*w^2 - 2*w + 35]', '[599, 599, 2*w^2 - 3]', '[601, 601, -4*w^2 - 4*w + 39]', '[607, 607, 7*w^2 + 2*w - 77]', '[613, 613, -3*w^2 - 2*w + 23]', '[619, 619, -3*w^2 + 29]', '[631, 631, 4*w^2 + 4*w - 41]', '[643, 643, -6*w^2 - 7*w + 47]', '[643, 643, -4*w^2 - 2*w + 45]', '[643, 643, 6*w^2 + 7*w - 27]', '[653, 653, 2*w^2 - w - 25]', '[653, 653, 2*w^2 + 4*w - 25]', '[653, 653, 3*w^2 + 2*w - 13]', '[661, 661, 4*w^2 - 10*w + 5]', '[677, 677, 10*w - 17]', '[683, 683, 6*w^2 + 2*w - 67]', '[701, 701, 2*w^2 - w - 19]', '[709, 709, 6*w^2 + 9*w - 31]', '[719, 719, -4*w^2 - 4*w + 31]', '[727, 727, -3*w - 5]', '[733, 733, -6*w + 7]', '[733, 733, -4*w^2 + 47]', '[733, 733, 2*w - 11]', '[739, 739, -6*w^2 - 8*w + 27]', '[743, 743, 12*w^2 + 9*w - 115]', '[743, 743, -6*w^2 - 5*w + 59]', '[743, 743, 3*w^2 - 31]', '[751, 751, 2*w^2 - 3*w - 11]', '[757, 757, -4*w^2 - 5*w + 27]', '[757, 757, -7*w^2 - 8*w + 31]', '[757, 757, -9*w + 13]', '[761, 761, -4*w^2 - w + 47]', '[769, 769, 8*w^2 + 4*w - 85]', '[787, 787, -3*w^2 - 2*w + 9]', '[797, 797, 7*w - 15]', '[809, 809, 9*w^2 + 10*w - 75]', '[811, 811, 8*w - 11]', '[821, 821, 4*w^2 - w - 51]', '[823, 823, 2*w^2 + 2*w - 27]', '[823, 823, -w^2 + 10*w - 17]', '[823, 823, 3*w^2 + 4*w - 31]', '[827, 827, -4*w^2 - 3*w + 33]', '[829, 829, w^2 + 8*w - 17]', '[839, 839, -4*w^2 + 5*w + 3]', '[859, 859, 4*w - 15]', '[859, 859, 3*w^2 + 6*w - 23]', '[859, 859, -4*w^2 - 5*w + 35]', '[863, 863, 3*w^2 + 4*w - 11]', '[877, 877, -2*w^2 + 8*w - 3]', '[881, 881, -3*w^2 + 4*w + 3]', '[883, 883, 5*w^2 + 6*w - 37]', '[887, 887, 2*w^2 + 5*w - 19]', '[907, 907, -5*w^2 - 4*w + 43]', '[911, 911, w^2 + 6*w - 9]', '[937, 937, 4*w^2 + 7*w - 29]', '[941, 941, 2*w^2 + w - 27]', '[961, 31, 4*w^2 + 5*w - 25]', '[967, 967, 8*w^2 + 10*w - 61]', '[977, 977, w^2 - 4*w - 3]', '[983, 983, 3*w^2 + 8*w - 23]']}
53. label: 3.3.1772.1
    {'degree': 3, 'discriminant': 1772, 'ideals': ['[1, 1, 1]', '[2, 2, -1/2*w^2 - 1/2*w + 4]', '[2, 2, -w^2 + 11]', '[3, 3, -1/2*w^2 + 1/2*w + 7]', '[4, 2, -w^2 + 4*w - 2]', '[4, 2, 1/2*w^2 - 5/2*w + 2]', '[4, 4, -w + 1]', '[5, 5, -3/2*w^2 - 1/2*w + 15]', '[6, 6, 1/2*w^2 - 3/2*w + 1]', '[6, 6, 3/2*w^2 - 13/2*w + 4]', '[8, 2, 2]', '[8, 4, w]', '[8, 4, -1/2*w^2 + 1/2*w + 6]', '[8, 8, w + 3]', '[9, 3, -1/2*w^2 + 5/2*w - 1]', '[9, 9, w^2 - 5*w + 3]', '[10, 10, -1/2*w^2 + 3/2*w]', '[10, 10, -w + 3]', '[12, 6, -1/2*w^2 + 1/2*w + 4]', '[12, 6, -w + 2]', '[12, 12, -1/2*w^2 - 1/2*w + 3]', '[15, 15, 1/2*w^2 - 5/2*w + 3]', '[16, 4, -w^2 - w + 8]', '[16, 4, -w^2 + 12]', '[16, 4, -2*w^2 + 22]', '[16, 8, 5/2*w^2 - 21/2*w + 6]', '[16, 16, -3/2*w^2 + 13/2*w - 3]', '[18, 6, -1/2*w^2 - 1/2*w + 2]', '[18, 6, -1/2*w^2 - 1/2*w + 5]', '[18, 18, w + 1]', '[18, 18, -1/2*w^2 + 3/2*w + 2]', '[20, 10, w + 2]', '[20, 10, -1/2*w^2 + 1/2*w + 8]', '[20, 20, -2*w^2 + w + 25]', '[24, 6, -w^2 + w + 14]', '[24, 12, -7/2*w^2 + 3/2*w + 44]', '[24, 12, w + 4]', '[24, 24, -4*w^2 + 17*w - 9]', '[25, 5, 7/2*w^2 - 31/2*w + 9]', '[25, 25, -1/2*w^2 + 1/2*w + 3]', '[27, 3, 3]', '[27, 27, -1/2*w^2 + 1/2*w + 1]', '[29, 29, -5/2*w^2 + 1/2*w + 29]', '[30, 30, -3/2*w^2 + 1/2*w + 17]', '[30, 30, -1/2*w^2 - 1/2*w + 6]', '[32, 4, -2*w^2 + 8*w - 4]', '[32, 4, w^2 - 5*w + 4]', '[32, 8, -3*w^2 + 2*w + 40]', '[32, 8, -2*w + 2]', '[32, 16, -1/2*w^2 + 1/2*w + 2]', '[32, 32, -1/2*w^2 - 1/2*w + 7]', '[36, 6, -2*w^2 + w + 26]', '[36, 6, -1/2*w^2 + 5/2*w + 14]', '[36, 12, -5/2*w^2 + 19/2*w - 5]', '[36, 18, -5/2*w^2 + 1/2*w + 30]', '[36, 18, -w^2 + 10]', '[36, 36, -2*w^2 - w + 19]', '[40, 10, -3*w^2 - w + 30]', '[40, 20, -4*w^2 + w + 48]', '[40, 20, -3/2*w^2 + 15/2*w - 4]', '[40, 40, w^2 - 4*w + 3]', '[41, 41, -w^2 + 3*w - 1]', '[41, 41, -1/2*w^2 - 3/2*w + 3]', '[41, 41, 2*w + 7]', '[43, 43, -7/2*w^2 - 1/2*w + 37]', '[43, 43, 1/2*w^2 - 9/2*w + 3]', '[43, 43, 1/2*w^2 - 1/2*w + 1]', '[45, 15, -w^2 - w + 7]', '[45, 45, -w^2 + w + 11]', '[47, 47, -w^2 + w + 15]', '[48, 12, w^2 - 3*w + 2]', '[48, 12, 3*w^2 - 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25*w + 23]', '[1934, 1934, -3/2*w^2 + 21/2*w - 10]', '[1934, 1934, 2*w^2 + 9*w - 9]', '[1935, 645, w^2 - 5*w + 11]', '[1935, 645, -2*w^2 - 2*w + 29]', '[1935, 645, -5*w^2 + 19*w - 7]', '[1935, 1935, 19/2*w^2 - 79/2*w + 23]', '[1935, 1935, -7/2*w^2 + 23/2*w - 3]', '[1935, 1935, -3/2*w^2 + 11/2*w + 7]', '[1940, 970, 47/2*w^2 - 15/2*w - 284]', '[1940, 970, 8*w^2 - w - 94]', '[1940, 1940, 31/2*w^2 - 1/2*w - 173]', '[1941, 1941, 5/2*w^2 - 9/2*w - 1]', '[1942, 1942, -3*w^2 + 16*w - 15]', '[1942, 1942, -39/2*w^2 + 5/2*w + 224]', '[1942, 1942, -3/2*w^2 + 9/2*w - 7]', '[1942, 1942, 13/2*w^2 - 51/2*w + 12]', '[1942, 1942, 5*w^2 - 20*w + 13]', '[1942, 1942, 3/2*w^2 - 25/2*w + 6]', '[1943, 1943, -17*w^2 + 75*w - 41]', '[1944, 18, -3*w^2 + 15*w - 6]', '[1944, 36, 6*w^2 - 21*w + 12]', '[1944, 36, 3/2*w^2 - 15/2*w + 12]', '[1944, 54, 6*w^2 - 30*w + 18]', '[1944, 72, 3/2*w^2 + 3/2*w + 3]', '[1944, 108, -9/2*w^2 + 33/2*w - 6]', '[1944, 108, -6*w^2 + 9*w + 96]', '[1944, 216, 3/2*w^2 - 21/2*w + 15]', '[1944, 486, -11*w^2 - w + 118]', '[1944, 972, -6*w^2 - 7*w + 44]', '[1944, 972, 17/2*w^2 - 69/2*w + 20]', '[1944, 1944, -5*w^2 + 22*w - 9]', '[1949, 1949, w^2 + w - 23]', '[1949, 1949, 3*w^2 - 9*w + 1]', '[1949, 1949, 4*w^2 + 4*w - 29]', '[1954, 1954, -29/2*w^2 + 127/2*w - 34]', '[1954, 1954, -3*w^2 + 20*w - 11]', '[1956, 978, 3/2*w^2 + 5/2*w - 20]', '[1956, 978, 2*w^2 - w - 6]', '[1956, 1956, 7/2*w^2 + 15/2*w - 17]', '[1959, 1959, 3/2*w^2 + 5/2*w - 23]', '[1962, 654, 5/2*w^2 + 5/2*w - 13]', '[1962, 654, 17/2*w^2 - 55/2*w + 14]', '[1962, 654, -19/2*w^2 + 77/2*w - 22]', '[1962, 654, 5/2*w^2 + 17/2*w - 10]', '[1962, 654, -7/2*w^2 + 41/2*w - 13]', '[1962, 654, 11/2*w^2 - 49/2*w + 11]', '[1962, 1962, -2*w^2 - 3*w - 1]', '[1962, 1962, 15/2*w^2 + 19/2*w - 52]', '[1962, 1962, -11*w^2 + 50*w - 29]', '[1962, 1962, -3/2*w^2 + 13/2*w - 10]', '[1962, 1962, 8*w^2 - 41*w + 23]', '[1962, 1962, 15/2*w^2 - 13/2*w - 104]', '[1964, 982, w^2 - 4*w - 10]', '[1964, 982, 5/2*w^2 - 1/2*w - 38]', '[1964, 1964, -5*w - 19]', '[1965, 1965, 5/2*w^2 - 13/2*w - 3]', '[1968, 492, -11*w^2 + 5*w + 136]', '[1968, 492, -3*w^2 + 2*w + 44]', '[1968, 492, 7*w^2 - 33*w + 20]', '[1968, 492, -11*w^2 + 8*w + 148]', '[1968, 492, -w^2 + 10*w - 4]', '[1968, 492, w^2 - 3*w + 8]', '[1968, 492, -5*w^2 + 7*w + 78]', '[1968, 492, -5*w^2 + 19*w - 6]', '[1968, 492, -2*w^2 + 4*w + 18]', '[1968, 984, -5/2*w^2 + 5/2*w + 2]', '[1968, 984, 21/2*w^2 - 97/2*w + 28]', '[1968, 984, 1/2*w^2 + 11/2*w + 8]', '[1968, 1968, -2*w^2 + 3*w + 35]', '[1968, 1968, -1/2*w^2 - 9/2*w + 11]', '[1968, 1968, -7*w^2 + 28*w - 13]', '[1970, 1970, w^2 + 8*w + 17]', '[1970, 1970, -27/2*w^2 + 13/2*w + 172]', '[1970, 1970, 5/2*w^2 - 23/2*w + 2]', '[1970, 1970, -5/2*w^2 + 3/2*w + 38]', '[1970, 1970, -9/2*w^2 + 27/2*w + 95]', '[1970, 1970, -1/2*w^2 + 11/2*w - 17]', '[1971, 219, 9/2*w^2 - 33/2*w + 3]', '[1971, 1971, -8*w^2 + 34*w - 21]', '[1975, 395, 7/2*w^2 + 9/2*w - 21]', '[1975, 1975, -11/2*w^2 + 15/2*w - 3]', '[1982, 1982, 13*w^2 - 6*w - 165]', '[1982, 1982, 7/2*w^2 - 9/2*w - 52]', '[1983, 1983, 5/2*w^2 + 3/2*w - 31]', '[1985, 1985, 7*w^2 - w - 85]', '[1986, 1986, -11/2*w^2 + 21/2*w - 5]', '[1986, 1986, -27/2*w^2 + 113/2*w - 32]', '[1987, 1987, 17/2*w^2 - 9/2*w - 107]', '[1990, 1990, 9/2*w^2 - 19/2*w - 27]', '[1990, 1990, 13/2*w^2 - 51/2*w + 8]', '[1990, 1990, 3/2*w^2 - 13/2*w - 4]', '[1990, 1990, -5/2*w^2 + 27/2*w - 18]', '[1990, 1990, -2*w^2 + 15*w - 27]', '[1990, 1990, w^2 + 2*w - 25]', '[1993, 1993, -5/2*w^2 - 3/2*w + 33]', '[1993, 1993, 2*w^2 + 2*w - 37]', '[1993, 1993, 2*w^2 - 2*w - 9]', '[1996, 998, 3/2*w^2 - 7/2*w + 6]', '[1996, 998, 4*w^2 - 19*w + 18]', '[1996, 1996, -3/2*w^2 + 9/2*w + 11]', '[1999, 1999, 6*w^2 - 26*w + 11]', '[2000, 20, -5*w^2 - 5*w + 40]', '[2000, 20, -5*w^2 + 60]', '[2000, 20, -10*w^2 + 110]', '[2000, 40, 25/2*w^2 - 105/2*w + 30]', '[2000, 80, -15/2*w^2 + 65/2*w - 15]', '[2000, 500, 2*w^2 + 2]', '[2000, 500, -5*w^2 + 24*w - 12]', '[2000, 500, 3*w^2 - 13*w + 12]', '[2000, 1000, -1/2*w^2 + 9/2*w + 6]', '[2000, 2000, -3/2*w^2 + 1/2*w + 27]', '[2003, 2003, -1/2*w^2 + 1/2*w - 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30*w + 20]', '[10000, 100, -5*w^2 + 15*w]', '[10000, 100, -11*w^2 + 13*w + 166]', '[10000, 100, -10*w + 30]', '[10000, 200, -5/2*w^2 - 15/2*w + 20]', '[10000, 200, -31/2*w^2 + 123/2*w - 32]', '[10000, 400, -5*w^2 + 45]', '[10000, 400, 8*w^2 - 39*w + 27]', '[10000, 2500, -18*w^2 + 4*w + 210]', '[10000, 2500, -5*w^2 - 6*w + 28]', '[10000, 2500, -7*w^2 - 3*w + 72]', '[10000, 5000, -31/2*w^2 - 21/2*w + 136]', '[10000, 10000, 13*w^2 - 48*w + 27]'], 'label': '3.3.1772.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -1/2*w^2 - 1/2*w + 4]', '[2, 2, -w^2 + 11]', '[3, 3, -1/2*w^2 + 1/2*w + 7]', '[5, 5, -3/2*w^2 - 1/2*w + 15]', '[9, 3, -1/2*w^2 + 5/2*w - 1]', '[25, 5, 7/2*w^2 - 31/2*w + 9]', '[29, 29, -5/2*w^2 + 1/2*w + 29]', '[41, 41, -w^2 + 3*w - 1]', '[41, 41, -1/2*w^2 - 3/2*w + 3]', '[41, 41, 2*w + 7]', '[43, 43, -7/2*w^2 - 1/2*w + 37]', '[43, 43, 1/2*w^2 - 9/2*w + 3]', '[43, 43, 1/2*w^2 - 1/2*w + 1]', '[47, 47, -w^2 + w + 15]', '[53, 53, -2*w^2 + 2*w + 29]', '[59, 59, w^2 - w - 13]', '[67, 67, -1/2*w^2 + 1/2*w + 9]', '[71, 71, 2*w - 3]', '[73, 73, 3/2*w^2 - 11/2*w + 1]', '[79, 79, -3/2*w^2 + 15/2*w - 5]', '[97, 97, 3*w^2 - w - 35]', '[101, 101, 2*w - 5]', '[103, 103, 5/2*w^2 + 3/2*w - 23]', '[107, 107, 1/2*w^2 - 5/2*w - 1]', '[109, 109, -2*w - 1]', '[109, 109, -4*w^2 + 16*w - 9]', '[109, 109, 5*w^2 - 21*w + 11]', '[131, 131, w^2 + w - 5]', '[137, 137, 7*w^2 - 31*w + 17]', '[137, 137, 3*w^2 + 3*w - 23]', '[137, 137, 2*w^2 - 25]', '[139, 139, 2*w^2 - 21]', '[151, 151, w^2 - w - 7]', '[157, 157, 14*w^2 - 60*w + 33]', '[163, 163, -2*w - 3]', '[167, 167, 3/2*w^2 + 1/2*w - 17]', '[173, 173, -1/2*w^2 + 5/2*w - 5]', '[181, 181, -5/2*w^2 + 21/2*w - 7]', '[181, 181, w^2 + 3*w + 1]', '[181, 181, w^2 + 5*w + 5]', '[191, 191, 1/2*w^2 - 5/2*w - 13]', '[193, 193, -w^2 + 3*w - 3]', '[197, 197, 1/2*w^2 + 3/2*w - 7]', '[197, 197, -2*w^2 + 10*w - 5]', '[197, 197, -9/2*w^2 + 1/2*w + 51]', '[199, 199, 2*w - 9]', '[199, 199, 3/2*w^2 - 3/2*w - 13]', '[199, 199, w^2 + w - 11]', '[227, 227, -1/2*w^2 - 3/2*w - 3]', '[233, 233, -1/2*w^2 + 1/2*w - 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31/2*w + 7]', '[439, 439, 3*w^2 - w - 33]', '[439, 439, -3/2*w^2 + 7/2*w - 3]', '[439, 439, 3/2*w^2 + 1/2*w - 11]', '[443, 443, -2*w^2 + 10*w - 11]', '[443, 443, 13*w^2 - 57*w + 33]', '[449, 449, 3/2*w^2 - 3/2*w - 11]', '[457, 457, 2*w^2 - 19]', '[457, 457, 5/2*w^2 - 17/2*w - 1]', '[457, 457, 3/2*w^2 + 9/2*w + 1]', '[461, 461, 3/2*w^2 - 7/2*w - 1]', '[463, 463, 2*w^2 - 6*w - 3]', '[463, 463, 5/2*w^2 - 5/2*w - 37]', '[463, 463, 3/2*w^2 + 1/2*w - 3]', '[479, 479, -11/2*w^2 + 51/2*w - 15]', '[491, 491, 6*w^2 - 67]', '[499, 499, -7/2*w^2 + 3/2*w + 39]', '[521, 521, 7*w^2 - 29*w + 13]', '[541, 541, 5*w^2 + 3*w - 45]', '[547, 547, 7/2*w^2 - 27/2*w + 5]', '[547, 547, 15/2*w^2 - 3/2*w - 89]', '[547, 547, 1/2*w^2 + 3/2*w - 15]', '[563, 563, 3/2*w^2 - 11/2*w - 3]', '[577, 577, 2*w^2 + 2*w - 13]', '[587, 587, 5/2*w^2 + 3/2*w - 21]', '[593, 593, -1/2*w^2 - 3/2*w - 5]', '[599, 599, 5/2*w^2 - 1/2*w - 35]', '[601, 601, 24*w^2 - 104*w + 57]', '[607, 607, w^2 + 3*w + 3]', '[619, 619, -w^2 + w - 3]', '[619, 619, 10*w^2 - 111]', '[619, 619, -5*w^2 + 23*w - 15]', '[631, 631, 4*w^2 - 4*w - 57]', '[647, 647, -7*w^2 + 33*w - 19]', '[653, 653, 3*w^2 - 11*w + 3]', '[661, 661, 2*w^2 - 6*w - 1]', '[673, 673, 2*w^2 - 8*w + 7]', '[677, 677, -w^2 + 7*w - 9]', '[683, 683, 9/2*w^2 + 11/2*w - 31]', '[683, 683, -4*w^2 + 2*w + 53]', '[683, 683, 8*w + 27]', '[691, 691, 15/2*w^2 + 1/2*w - 81]', '[709, 709, 3/2*w^2 - 7/2*w - 27]', '[727, 727, 9/2*w^2 - 1/2*w - 55]', '[733, 733, -15/2*w^2 + 7/2*w + 93]', '[743, 743, 1/2*w^2 + 7/2*w - 7]', '[751, 751, 3*w^2 - w - 41]', '[769, 769, 17/2*w^2 - 77/2*w + 21]', '[773, 773, 33/2*w^2 - 13/2*w - 205]', '[787, 787, 13*w^2 - 57*w + 31]', '[797, 797, -5*w^2 + 19*w - 11]', '[809, 809, -4*w - 11]', '[811, 811, w^2 + 3*w - 9]', '[811, 811, w^2 - w - 19]', '[811, 811, 4*w - 9]', '[823, 823, 19/2*w^2 - 79/2*w + 21]', '[829, 829, 3/2*w^2 - 3/2*w - 7]', '[829, 829, w^2 - 3*w - 9]', '[829, 829, 3/2*w^2 + 5/2*w - 13]', '[841, 29, -7/2*w^2 + 23/2*w - 5]', '[853, 853, 4*w^2 - 47]', '[853, 853, 5/2*w^2 - 5/2*w - 33]', '[853, 853, -8*w^2 + 36*w - 23]', '[863, 863, 3/2*w^2 - 3/2*w - 5]', '[877, 877, -3/2*w^2 + 15/2*w - 1]', '[883, 883, 3/2*w^2 - 3/2*w - 25]', '[883, 883, 15/2*w^2 - 7/2*w - 91]', '[883, 883, -11/2*w^2 + 47/2*w - 15]', '[887, 887, 1/2*w^2 + 23/2*w + 33]', '[911, 911, -6*w - 19]', '[929, 929, 9/2*w^2 - 33/2*w + 1]', '[947, 947, 1/2*w^2 - 9/2*w - 19]', '[967, 967, 8*w^2 + 4*w - 75]', '[971, 971, 9/2*w^2 + 7/2*w - 39]', '[971, 971, -5*w^2 + 3*w + 63]', '[971, 971, 37/2*w^2 - 157/2*w + 43]', '[977, 977, -w^2 + 3*w + 23]', '[991, 991, 2*w^2 - 2*w - 15]']}
54. label: 3.3.1825.1
    {'degree': 3, 'discriminant': 1825, 'ideals': ['[1, 1, 1]', '[5, 5, -w + 2]', '[7, 7, w]', '[8, 2, 2]', '[11, 11, w + 2]', '[13, 13, w + 1]', '[17, 17, -w^2 - w + 4]', '[23, 23, -w^2 + 6]', '[23, 23, -w^2 - w + 3]', '[23, 23, -w + 4]', '[25, 5, -w^2 - w + 6]', '[27, 3, 3]', '[29, 29, -w^2 - 2*w + 4]', '[31, 31, w^2 - 10]', '[35, 35, w^2 - w - 7]', '[40, 10, -2*w + 4]', '[41, 41, w + 4]', '[41, 41, w^2 - 5]', '[41, 41, -2*w - 5]', '[43, 43, w^2 - w - 4]', '[47, 47, w^2 - w - 9]', '[49, 7, w^2 - w - 8]', '[49, 49, w^2 + w - 7]', '[53, 53, 2*w^2 + w - 12]', '[55, 55, -w^2 + 4]', '[56, 14, 2*w]', '[59, 59, w^2 - 3]', '[61, 61, w^2 + w - 10]', '[61, 61, w^2 - w - 3]', '[61, 61, w^2 - 2*w - 4]', '[64, 4, 4]', '[65, 65, -w^2 + w + 2]', '[67, 67, w^2 + w - 8]', '[67, 67, w^2 + 2*w - 5]', '[67, 67, w - 5]', '[73, 73, w^2 + w - 9]', '[73, 73, -2*w^2 + w + 13]', '[77, 77, w^2 + 2*w]', '[83, 83, 3*w - 4]', '[85, 85, 2*w + 1]', '[88, 22, 2*w + 4]', '[91, 91, w^2 + w]', '[101, 101, -2*w^2 - 2*w + 11]', '[103, 103, -w - 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w + 4]', '[23, 23, -w^2 + 6]', '[23, 23, -w^2 - w + 3]', '[23, 23, -w + 4]', '[27, 3, 3]', '[29, 29, -w^2 - 2*w + 4]', '[31, 31, w^2 - 10]', '[41, 41, w + 4]', '[41, 41, w^2 - 5]', '[41, 41, -2*w - 5]', '[43, 43, w^2 - w - 4]', '[47, 47, w^2 - w - 9]', '[49, 7, w^2 - w - 8]', '[53, 53, 2*w^2 + w - 12]', '[59, 59, w^2 - 3]', '[61, 61, w^2 + w - 10]', '[61, 61, w^2 - w - 3]', '[61, 61, w^2 - 2*w - 4]', '[67, 67, w^2 + w - 8]', '[67, 67, w^2 + 2*w - 5]', '[67, 67, w - 5]', '[73, 73, w^2 + w - 9]', '[73, 73, -2*w^2 + w + 13]', '[83, 83, 3*w - 4]', '[101, 101, -2*w^2 - 2*w + 11]', '[103, 103, -w - 5]', '[107, 107, -2*w - 3]', '[113, 113, w^2 + 2*w - 6]', '[121, 11, -3*w^2 - 2*w + 17]', '[131, 131, -2*w^2 - w + 11]', '[139, 139, w - 6]', '[151, 151, 2*w^2 - w - 12]', '[157, 157, w^2 - 2*w - 12]', '[163, 163, -2*w^2 - w + 18]', '[167, 167, w^2 - 12]', '[169, 13, w^2 - 2*w - 6]', '[179, 179, 2*w^2 + w - 16]', '[191, 191, 2*w^2 - 2*w - 13]', '[193, 193, -w^2 - w - 1]', '[197, 197, -w - 6]', '[199, 199, w^2 + 3*w - 6]', '[229, 229, w^2 - 2*w - 11]', '[233, 233, -3*w^2 - w + 27]', '[239, 239, w^2 + 2*w - 9]', '[241, 241, w^2 - w - 13]', '[257, 257, -3*w - 1]', '[257, 257, 2*w^2 - 11]', '[257, 257, w^2 + 2*w - 10]', '[263, 263, 2*w^2 - 3*w - 10]', '[269, 269, w^2 + 4*w - 1]', '[269, 269, -2*w^2 - 3*w + 10]', '[269, 269, 2*w^2 + w - 9]', '[271, 271, w^2 - 2*w - 9]', '[277, 277, -2*w^2 + 4*w + 3]', '[281, 281, -w^2 - 2]', '[289, 17, 2*w^2 - 3*w - 6]', '[307, 307, w^2 + 2*w - 16]', '[313, 313, -3*w - 2]', '[317, 317, 3*w^2 - 20]', '[317, 317, -3*w^2 - w + 26]', '[317, 317, 2*w^2 + w - 8]', '[331, 331, w^2 + 5*w + 5]', '[337, 337, -w^2 - w - 2]', '[349, 349, -3*w - 5]', '[349, 349, 3*w^2 + w - 25]', '[349, 349, 2*w^2 - 2*w - 15]', '[373, 373, w^2 + 3*w - 8]', '[373, 373, 2*w^2 + 4*w - 9]', '[373, 373, 2*w^2 + w - 22]', '[379, 379, w^2 + 5*w - 3]', '[397, 397, 2*w^2 + 3*w - 11]', '[397, 397, w^2 - 3*w - 5]', '[397, 397, 2*w^2 - w - 9]', '[409, 409, w^2 - 4*w - 2]', '[421, 421, 2*w^2 - 3*w - 11]', '[431, 431, 2*w^2 + 2*w - 1]', '[433, 433, 2*w^2 - 3*w - 4]', '[443, 443, 2*w^2 - 5]', '[449, 449, 3*w^2 - w - 19]', '[463, 463, 2*w^2 - w - 8]', '[463, 463, 3*w^2 - 19]', '[463, 463, -w^2 - 3]', '[467, 467, 4*w^2 + 2*w - 27]', '[479, 479, 2*w^2 - 2*w - 3]', '[479, 479, 3*w^2 + 2*w - 15]', '[479, 479, w^2 + w - 15]', '[487, 487, 2*w^2 - w - 4]', '[487, 487, 5*w^2 + 2*w - 32]', '[487, 487, -4*w^2 - 3*w + 24]', '[491, 491, -w^2 - 2*w - 3]', '[521, 521, 2*w^2 - 2*w - 5]', '[541, 541, -w^2 + w - 4]', '[547, 547, 3*w^2 + w - 17]', '[547, 547, 4*w + 9]', '[547, 547, -2*w - 9]', '[557, 557, w^2 - 4*w - 3]', '[557, 557, 3*w^2 - 4*w - 12]', '[557, 557, 2*w^2 + 2*w - 19]', '[563, 563, w^2 + 3*w - 13]', '[569, 569, w^2 + 2*w - 17]', '[571, 571, -4*w - 1]', '[577, 577, w^2 + 3*w - 12]', '[599, 599, 5*w - 11]', '[601, 601, 5*w - 9]', '[613, 613, 3*w^2 + 3*w - 10]', '[617, 617, 3*w^2 - w - 18]', '[631, 631, 2*w^2 - w - 22]', '[643, 643, w^2 + 5*w - 1]', '[647, 647, 2*w^2 + w - 23]', '[677, 677, 5*w^2 + 3*w - 29]', '[683, 683, 3*w^2 + 2*w - 29]', '[691, 691, w^2 - 3*w - 12]', '[701, 701, 2*w^2 - 4*w - 9]', '[709, 709, w^2 - 3*w - 9]', '[719, 719, 2*w^2 - 3*w - 13]', '[733, 733, -w^2 - 2*w - 4]', '[733, 733, 2*w^2 - 5*w - 6]', '[733, 733, w^2 - 3*w - 11]', '[739, 739, 3*w^2 + 2*w - 22]', '[739, 739, -w^2 + 4*w + 17]', '[739, 739, 3*w^2 - 5*w - 13]', '[743, 743, 3*w^2 + w - 31]', '[751, 751, 3*w^2 - 3*w - 20]', '[761, 761, 4*w + 13]', '[769, 769, -4*w - 3]', '[773, 773, 3*w^2 + 2*w - 13]', '[823, 823, 3*w^2 - 4*w - 11]', '[827, 827, -5*w^2 - 4*w + 26]', '[827, 827, 3*w^2 - 7*w - 1]', '[827, 827, w - 10]', '[829, 829, w^2 - 6*w + 12]', '[841, 29, 2*w^2 + 3*w - 23]', '[857, 857, 3*w^2 + 2*w - 23]', '[857, 857, 4*w^2 + 3*w - 20]', '[857, 857, 4*w^2 - 3*w - 23]', '[859, 859, -3*w^2 - 4*w + 16]', '[863, 863, -4*w - 5]', '[881, 881, 3*w^2 + 2*w - 12]', '[883, 883, w^2 - 5*w - 2]', '[887, 887, 4*w^2 - 2*w - 25]', '[907, 907, -5*w^2 - 5*w + 23]', '[919, 919, w^2 - w - 16]', '[929, 929, 2*w^2 + 3*w - 15]', '[953, 953, 2*w^2 - 3*w - 15]', '[953, 953, -w^2 + 7*w - 2]', '[953, 953, w^2 - 2*w - 17]', '[961, 31, 4*w^2 + 2*w - 29]', '[971, 971, 3*w^2 - w - 16]', '[977, 977, 3*w^2 + 2*w - 9]', '[983, 983, 3*w^2 - 4*w - 17]', '[991, 991, -2*w^2 + 3*w - 4]']}
55. label: 3.3.1849.1
    {'degree': 3, 'discriminant': 1849, 'ideals': ['[1, 1, 1]', '[2, 2, -1/2*w^2 + 1/2*w + 8]', '[2, 2, 1/2*w^2 - 3/2*w - 1]', '[2, 2, w + 3]', '[4, 2, w^2 - 4*w - 2]', '[4, 2, -3/2*w^2 + 5/2*w + 20]', '[4, 2, 1/2*w^2 + 3/2*w + 1]', '[4, 4, -1/2*w^2 + 1/2*w + 6]', '[4, 4, w + 1]', '[4, 4, -1/2*w^2 + 3/2*w + 3]', '[8, 2, 2]', '[8, 4, -w]', '[8, 4, -1/2*w^2 + 3/2*w + 2]', '[8, 4, -1/2*w^2 + 1/2*w + 5]', '[8, 4, w + 2]', '[8, 4, -1/2*w^2 + 3/2*w + 4]', '[8, 4, -1/2*w^2 + 1/2*w + 7]', '[8, 8, -1/2*w^2 + 5/2*w + 2]', '[8, 8, -w^2 + 2*w + 11]', '[8, 8, -1/2*w^2 - 1/2*w + 3]', '[11, 11, -w^2 + 3*w + 7]', '[11, 11, -2*w - 1]', '[11, 11, -w^2 + w + 11]', '[16, 4, -w^2 + w + 16]', '[16, 4, -w^2 + 2*w + 12]', '[16, 4, w^2 - 3*w - 2]', '[16, 4, -1/2*w^2 - 1/2*w + 2]', '[16, 4, 1/2*w^2 - 5/2*w - 1]', '[16, 4, 2*w + 6]', '[16, 8, 1/2*w^2 + 5/2*w + 2]', '[16, 8, -1/2*w^2 + 3/2*w + 8]', '[16, 8, -3/2*w^2 + 11/2*w + 5]', '[16, 8, -1/2*w^2 + 1/2*w + 1]', '[16, 8, -w + 4]', '[16, 8, -2*w^2 + 3*w + 26]', '[16, 16, -3/2*w^2 + 11/2*w + 6]', '[16, 16, -2*w^2 + 3*w + 25]', '[16, 16, -1/2*w^2 - 5/2*w - 1]', '[22, 22, -w^2 + 2*w + 13]', '[22, 22, -1/2*w^2 + 3/2*w + 5]', '[22, 22, 1/2*w^2 - 5/2*w]', '[22, 22, 1/2*w^2 - 1/2*w]', '[22, 22, -1/2*w^2 - 1/2*w + 1]', '[22, 22, -1/2*w^2 + 3/2*w + 9]', '[22, 22, -1/2*w^2 + 1/2*w + 4]', '[22, 22, -w + 5]', '[22, 22, -w + 1]', '[27, 3, 3]', '[32, 4, 2*w^2 - 8*w - 4]', '[32, 4, -3*w^2 + 5*w + 40]', '[32, 4, w^2 + 3*w + 2]', '[32, 8, -w^2 + 8]', '[32, 8, -3/2*w^2 + 5/2*w + 18]', '[32, 8, -3/2*w^2 + 7/2*w + 15]', '[32, 8, -w^2 + w + 12]', '[32, 8, 2*w + 2]', '[32, 8, -w^2 + 4*w + 4]', '[32, 8, -w^2 + 3*w + 6]', '[32, 8, 1/2*w^2 - 7/2*w - 2]', '[32, 8, -1/2*w^2 - 3/2*w + 1]', '[32, 16, w + 4]', '[32, 16, -1/2*w^2 + 3/2*w + 6]', '[32, 16, -1/2*w^2 + 1/2*w + 3]', '[32, 16, 1/2*w^2 - 3/2*w]', '[32, 16, -1/2*w^2 + 1/2*w + 9]', '[32, 16, -w + 2]', '[32, 32, -1/2*w^2 + 3/2*w + 7]', '[32, 32, -1/2*w^2 + 1/2*w + 2]', '[32, 32, -w + 3]', '[41, 41, 2*w + 5]', '[41, 41, -w^2 + 3*w + 3]', '[41, 41, -w^2 + w + 15]', '[43, 43, -3*w^2 + 11*w + 11]', '[44, 22, -w^2 - 2*w + 2]', '[44, 22, 3/2*w^2 - 13/2*w - 4]', '[44, 22, -1/2*w^2 + 5/2*w + 3]', '[44, 22, -w^2 + 2*w + 10]', '[44, 22, -1/2*w^2 + 5/2*w + 11]', '[44, 22, -1/2*w^2 - 1/2*w + 4]', '[44, 22, -w^2 + 2*w + 2]', '[44, 22, -5/2*w^2 + 9/2*w + 31]', '[44, 22, -1/2*w^2 - 1/2*w + 12]', '[44, 44, w^2 - 4*w - 1]', '[44, 44, -3/2*w^2 + 13/2*w + 5]', '[44, 44, -3/2*w^2 + 5/2*w + 21]', '[44, 44, -5/2*w^2 + 9/2*w + 30]', '[44, 44, -w^2 + 2*w + 15]', '[44, 44, -w^2 - 2*w + 3]', '[44, 44, 1/2*w^2 + 3/2*w + 2]', '[44, 44, 1/2*w^2 - 5/2*w + 2]', '[44, 44, 1/2*w^2 + 1/2*w + 1]', '[47, 47, -w^2 - w + 5]', '[47, 47, w^2 - 5*w - 3]', '[47, 47, -2*w^2 + 4*w + 23]', '[54, 6, -3/2*w^2 + 3/2*w + 24]', '[54, 6, 3/2*w^2 - 9/2*w - 3]', '[54, 6, 3*w + 9]', '[59, 59, -w^2 + w + 13]', '[59, 59, w^2 - 3*w - 5]', '[59, 59, -2*w - 3]', '[64, 4, 4]', '[64, 8, -2*w]', '[64, 8, -w^2 - 2*w]', '[64, 8, 3/2*w^2 - 13/2*w - 2]', '[64, 8, -5/2*w^2 + 9/2*w + 33]', '[64, 8, -w^2 + 3*w + 4]', '[64, 8, -w^2 + w + 10]', '[64, 8, 2*w + 4]', '[64, 8, -w^2 + 3*w + 8]', '[64, 8, -w^2 + w + 14]', '[64, 16, 5/2*w^2 - 19/2*w - 6]', '[64, 16, -7/2*w^2 + 11/2*w + 47]', '[64, 16, 1/2*w^2 - 7/2*w + 6]', '[64, 16, -3/2*w^2 + 7/2*w + 23]', '[64, 16, -w^2 + 5*w + 4]', '[64, 16, w^2]', '[64, 16, -2*w^2 + 4*w + 22]', '[64, 16, w^2 + 4*w + 4]', '[64, 16, -w^2 - w + 6]', '[64, 32, -3/2*w^2 - 7/2*w + 2]', '[64, 32, -4*w^2 + 7*w + 50]', '[64, 32, -2*w^2 + 3*w + 28]', '[64, 32, 5/2*w^2 - 21/2*w - 7]', '[64, 32, 1/2*w^2 + 5/2*w + 4]', '[64, 32, 3/2*w^2 - 11/2*w - 3]', '[64, 64, -w^2 + 9]', '[64, 64, -1/2*w^2 + 7/2*w + 3]', '[64, 64, -3/2*w^2 + 7/2*w + 14]', '[82, 82, w^2 - 2*w - 1]', '[82, 82, -w^2 - 2*w + 1]', '[82, 82, -3*w^2 + 4*w + 37]', '[82, 82, -5/2*w^2 + 9/2*w + 32]', '[82, 82, 1/2*w^2 + 9/2*w + 3]', '[82, 82, -5/2*w^2 + 17/2*w + 12]', '[82, 82, -1/2*w^2 - 1/2*w + 13]', '[82, 82, 3/2*w^2 - 13/2*w - 3]', '[82, 82, -1/2*w^2 + 5/2*w + 12]', '[86, 86, -1/2*w^2 + 5/2*w + 4]', '[86, 86, -1/2*w^2 - 1/2*w + 5]', '[86, 86, -w^2 + 2*w + 9]', '[88, 22, -2*w^2 + 6*w + 14]', '[88, 22, -4*w - 2]', '[88, 22, -2*w^2 + 2*w + 22]', '[88, 44, -4*w^2 + 7*w + 54]', '[88, 44, -1/2*w^2 - 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21]', '[1931, 1931, 4*w^2 - 4*w - 61]', '[1931, 1931, 4*w^2 - 12*w - 11]', '[1933, 1933, 2*w^2 - 2*w - 13]', '[1933, 1933, 2*w^2 - 6*w - 23]', '[1933, 1933, 4*w - 7]', '[1934, 1934, 2*w^2 - 3*w - 11]', '[1934, 1934, 5*w^2 - 8*w - 59]', '[1934, 1934, 4*w^2 - 11*w - 29]', '[1934, 1934, 1/2*w^2 - 17/2*w - 8]', '[1934, 1934, 3/2*w^2 + 11/2*w - 3]', '[1934, 1934, 7/2*w^2 - 5/2*w - 39]', '[1934, 1934, 3/2*w^2 - 11/2*w - 20]', '[1934, 1934, 1/2*w^2 + 5/2*w - 13]', '[1934, 1934, 7/2*w^2 - 27/2*w - 16]', '[1936, 44, -3/2*w^2 - 1/2*w + 35]', '[1936, 44, w^2 - 7*w + 6]', '[1936, 44, w^2 + 11*w + 8]', '[1936, 44, 5*w^2 - 22*w - 4]', '[1936, 44, -17/2*w^2 + 31/2*w + 114]', '[1936, 44, 1/2*w^2 + 11/2*w + 15]', '[1936, 44, -3*w^2 + 7*w + 40]', '[1936, 44, -w^2 + 6*w + 28]', '[1936, 44, -7/2*w^2 - 13/2*w - 1]', '[1936, 44, 5/2*w^2 - 11/2*w - 2]', '[1936, 44, 3*w^2 - 10*w - 4]', '[1936, 44, -7*w^2 + 27*w + 24]', '[1936, 44, -3*w^2 - 11*w - 2]', '[1936, 44, -7/2*w^2 + 9/2*w + 54]', '[1936, 44, -7*w^2 + 9*w + 86]', '[1936, 44, -6*w^2 + 20*w + 30]', '[1936, 44, -10*w^2 + 16*w + 126]', '[1936, 44, -2*w^2 + 6]', '[1936, 88, -19/2*w^2 + 33/2*w + 122]', '[1936, 88, -7/2*w^2 + 5/2*w + 34]', '[1936, 88, -1/2*w^2 - 5/2*w + 14]', '[1936, 88, 1/2*w^2 - 17/2*w - 3]', '[1936, 88, 1/2*w^2 - 11/2*w + 4]', '[1936, 88, 5/2*w^2 + 9/2*w + 4]', '[1936, 88, -9/2*w^2 + 43/2*w + 16]', '[1936, 88, -3/2*w^2 + 11/2*w + 21]', '[1936, 88, -7/2*w^2 - 17/2*w + 1]', '[1936, 88, 7/2*w^2 - 31/2*w + 1]', '[1936, 88, -5/2*w^2 + 13/2*w + 29]', '[1936, 88, -6*w^2 + 11*w + 84]', '[1936, 88, -17/2*w^2 + 33/2*w + 97]', '[1936, 88, -2*w^2 + w + 12]', '[1936, 88, -4*w^2 - 5*w + 20]', '[1936, 88, -2*w^2 + 3*w + 10]', '[1936, 88, -4*w^2 + 11*w + 34]', '[1936, 88, 6*w^2 - 25*w - 14]', '[1936, 176, 1/2*w^2 + 15/2*w + 14]', '[1936, 176, -7/2*w^2 + 11/2*w + 38]', '[1936, 176, 3/2*w^2 - 7/2*w + 2]', '[1936, 176, -4*w^2 + 13*w + 13]', '[1936, 176, -w^2 + 25]', '[1936, 176, -w^2 - 4*w + 5]', '[1936, 176, -9/2*w^2 + 11/2*w + 63]', '[1936, 176, -5/2*w^2 + 19/2*w + 15]', '[1936, 176, -1/2*w^2 + 7/2*w + 19]', '[1936, 484, -3*w^2 - 5*w + 8]', '[1936, 484, -7*w^2 + 29*w + 22]', '[1936, 484, -5*w^2 + 6*w + 76]', '[1936, 484, -11/2*w^2 + 39/2*w + 19]', '[1936, 484, -3/2*w^2 - 3/2*w + 14]', '[1936, 484, -7*w^2 + 10*w + 92]', '[1936, 484, -11*w^2 + 19*w + 136]', '[1936, 484, -3*w^2 + 5*w + 6]', '[1936, 484, -7*w^2 + 13*w + 86]', '[1936, 484, -w^2 - 3*w + 32]', '[1936, 484, -3*w^2 + 6*w + 28]', '[1936, 484, -3/2*w^2 + 15/2*w + 11]', '[1936, 484, 1/2*w^2 + 17/2*w + 22]', '[1936, 484, 3/2*w^2 + 19/2*w + 10]', '[1936, 484, 9/2*w^2 - 29/2*w - 9]', '[1936, 484, -2*w^2 + 8*w + 38]', '[1936, 484, 4*w^2 - 18*w - 10]', '[1936, 484, -4*w^2 - 10*w + 6]', '[1936, 968, 3/2*w^2 - 19/2*w - 3]', '[1936, 968, 2*w^2 - 9*w + 4]', '[1936, 968, 3/2*w^2 + 5/2*w + 5]', '[1936, 968, -15/2*w^2 + 53/2*w + 34]', '[1936, 968, -6*w^2 + 17*w + 44]', '[1936, 968, -4*w^2 + 9*w + 44]', '[1936, 968, -4*w^2 + 7*w + 58]', '[1936, 968, -5/2*w^2 - 1/2*w + 16]', '[1936, 968, -3/2*w^2 + 19/2*w + 41]', '[1936, 968, 4*w^2 - 9*w - 6]', '[1936, 968, 3/2*w^2 + 7/2*w + 6]', '[1936, 968, -2*w^2 - 13*w - 6]', '[1936, 968, -5/2*w^2 - 1/2*w + 54]', '[1936, 968, -1/2*w^2 + 25/2*w + 9]', '[1936, 968, -19/2*w^2 + 27/2*w + 117]', '[1936, 968, -7/2*w^2 + 13/2*w + 52]', '[1936, 968, -11/2*w^2 + 9/2*w + 60]', '[1936, 968, 5/2*w^2 - 21/2*w + 1]', '[1936, 1936, 3/2*w^2 - 19/2*w + 10]', '[1936, 1936, -21/2*w^2 + 31/2*w + 131]', '[1936, 1936, -8*w^2 + 29*w + 33]', '[1936, 1936, -5/2*w^2 - 1/2*w + 3]', '[1936, 1936, -19/2*w^2 + 71/2*w + 30]', '[1936, 1936, -4*w^2 + 9*w + 57]', '[1936, 1936, -5/2*w^2 - 27/2*w - 6]', '[1936, 1936, -13*w^2 + 20*w + 169]', '[1936, 1936, 7/2*w^2 + 31/2*w + 11]', '[1951, 1951, 2*w^2 + 10*w + 3]', '[1951, 1951, 8*w^2 - 12*w - 99]', '[1951, 1951, 6*w^2 - 22*w - 25]', '[1979, 1979, 5*w^2 - 17*w - 15]', '[1979, 1979, 6*w^2 - 8*w - 83]', '[1979, 1979, -w^2 - 9*w - 15]', '[1982, 1982, 25/2*w^2 - 103/2*w - 37]', '[1982, 1982, 15/2*w^2 - 43/2*w - 56]', '[1982, 1982, 7*w^2 + 18*w - 7]', '[1982, 1982, 7*w^2 - 6*w - 75]', '[1982, 1982, -7*w - 17]', '[1982, 1982, 7/2*w^2 - 7/2*w - 52]', '[1982, 1982, -1/2*w^2 + 31/2*w + 9]', '[1982, 1982, 7/2*w^2 - 21/2*w - 11]', '[1982, 1982, 39/2*w^2 - 67/2*w - 244]', '[1994, 1994, w^2 + 6*w - 1]', '[1994, 1994, 9/2*w^2 - 13/2*w - 52]', '[1994, 1994, 25/2*w^2 - 95/2*w - 41]', '[1994, 1994, 5*w^2 + 20*w + 9]', '[1994, 1994, 35/2*w^2 - 55/2*w - 224]', '[1994, 1994, 9/2*w^2 + 25/2*w + 3]', '[1994, 1994, 13*w^2 - 22*w - 169]', '[1994, 1994, -17/2*w^2 + 69/2*w + 20]', '[1994, 1994, 7/2*w^2 - 25/2*w - 19]', '[1999, 1999, 2*w^2 - 9]', '[1999, 1999, -3*w^2 + 7*w + 37]', '[1999, 1999, -w^2 + 7*w - 3]', '[2000, 20, 5*w^2 - 5*w - 80]', '[2000, 20, 5*w^2 - 10*w - 60]', '[2000, 20, -5*w^2 + 15*w + 10]', '[2000, 20, 5/2*w^2 + 5/2*w - 10]', '[2000, 20, -5/2*w^2 + 25/2*w + 5]', '[2000, 20, -10*w - 30]', '[2000, 40, -5/2*w^2 - 25/2*w - 10]', '[2000, 40, 5/2*w^2 - 15/2*w - 40]', '[2000, 40, 15/2*w^2 - 55/2*w - 25]', '[2000, 40, 5/2*w^2 - 5/2*w - 5]', '[2000, 40, 5*w - 20]', '[2000, 40, 10*w^2 - 15*w - 130]', '[2000, 80, 15/2*w^2 - 55/2*w - 30]', '[2000, 80, 10*w^2 - 15*w - 125]', '[2000, 80, 5/2*w^2 + 25/2*w + 5]', '[2017, 2017, 6*w^2 - 8*w - 71]', '[2017, 2017, 5*w^2 - 17*w - 27]', '[2017, 2017, 28*w^2 - 46*w - 365]', '[2021, 2021, -w^2 + 3*w + 23]', '[2021, 2021, w^2 - w + 5]', '[2021, 2021, -2*w + 15]', '[2029, 2029, -3*w^2 + 7*w + 39]', '[2029, 2029, -w^2 + 7*w - 5]', '[2029, 2029, 2*w^2 - 7]', '[2032, 508, -w^2 + 5*w - 8]', '[2032, 508, w^2 - 6*w - 12]', '[2032, 508, 3*w^2 - 5*w - 30]', '[2032, 508, -w^2 - w - 6]', '[2032, 508, 3*w^2 - 7*w - 8]', '[2032, 508, w^2 + 10*w + 4]', '[2032, 508, 15/2*w^2 - 27/2*w - 95]', '[2032, 508, 11/2*w^2 - 37/2*w - 30]', '[2032, 508, 3/2*w^2 + 1/2*w - 19]', '[2032, 508, -9/2*w^2 + 39/2*w + 10]', '[2032, 508, w^2 - 7*w - 26]', '[2032, 508, 3*w^2 + 6*w - 4]', '[2032, 508, w^2 + 3*w - 8]', '[2032, 508, 2*w^2 - 38]', '[2032, 508, 2*w^2 - 8*w - 14]', '[2032, 508, 13/2*w^2 - 17/2*w - 77]', '[2032, 508, 5/2*w^2 - 11/2*w - 18]', '[2032, 508, 2*w^2 - 4*w - 34]', '[2032, 1016, -2*w^2 + 11*w + 4]', '[2032, 1016, 2*w^2 - 17*w - 12]', '[2032, 1016, 13/2*w^2 - 47/2*w - 22]', '[2032, 1016, -15/2*w^2 + 53/2*w + 18]', '[2032, 1016, -2*w^2 - 13*w - 22]', '[2032, 1016, 11/2*w^2 - 3/2*w - 51]', '[2032, 1016, -2*w^2 - 3*w - 4]', '[2032, 1016, 9/2*w^2 - 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296]', '[9974, 9974, -29/2*w^2 + 119/2*w + 29]', '[9974, 9974, 13/2*w^2 - 25/2*w - 96]', '[9974, 9974, 8*w^2 + 21*w + 7]', '[9974, 9974, -3*w^2 - 4*w - 7]', '[9974, 9974, 24*w^2 - 37*w - 311]', '[9974, 9974, 35/2*w^2 - 131/2*w - 56]', '[9974, 9974, -7/2*w^2 + 33/2*w - 9]', '[9977, 9977, 30*w^2 - 50*w - 387]', '[9977, 9977, 10*w^2 + 30*w + 7]', '[9977, 9977, 8*w^2 - 8*w - 9]', '[9977, 9977, 4*w^2 - 8*w - 29]', '[9977, 9977, 2*w^2 + 2*w - 27]', '[9977, 9977, 8*w^2 - 24*w - 135]', '[9977, 9977, -20*w^2 + 80*w + 53]', '[9977, 9977, 2*w^2 - 10*w - 23]', '[9977, 9977, 16*w - 71]', '[9992, 2498, 4*w^2 - 8*w - 14]', '[9992, 2498, 2*w^2 + 2*w - 42]', '[9992, 2498, 2*w^2 - 10*w - 38]', '[9992, 4996, 2*w^2 + 13*w + 2]', '[9992, 4996, -17/2*w^2 + 59/2*w + 18]', '[9992, 4996, -1/2*w^2 - 7/2*w - 19]', '[9992, 4996, -2*w^2 + 7*w - 8]', '[9992, 4996, 15/2*w^2 - 53/2*w - 38]', '[9992, 4996, 17/2*w^2 - 33/2*w - 109]', '[9992, 4996, -2*w^2 - 15*w - 30]', '[9992, 4996, 15/2*w^2 - 7/2*w - 75]', '[9992, 4996, 1/2*w^2 + 13/2*w - 10]', '[9992, 4996, 2*w^2 - 21*w - 16]', '[9992, 4996, -9/2*w^2 + 43/2*w + 4]', '[9992, 4996, 7/2*w^2 - 23/2*w - 33]', '[9992, 4996, 4*w^2 - 5*w - 34]', '[9992, 4996, 19/2*w^2 - 49/2*w - 80]', '[9992, 4996, 21/2*w^2 - 29/2*w - 151]', '[9992, 4996, 4*w^2 + 5*w - 8]', '[9992, 4996, 19/2*w^2 - 27/2*w - 113]', '[9992, 4996, 5/2*w^2 - 7/2*w - 48]', '[9992, 9992, 19/2*w^2 + 23/2*w - 45]', '[9992, 9992, -21/2*w^2 + 101/2*w + 34]', '[9992, 9992, -w^2 + 10*w - 29]', '[9992, 9992, -5/2*w^2 - 33/2*w - 21]', '[9992, 9992, 19/2*w^2 - 67/2*w - 30]', '[9992, 9992, 20*w^2 - 39*w - 231]', '[9992, 9992, 9/2*w^2 - 23/2*w - 75]', '[9992, 9992, -7/2*w^2 + 3/2*w - 2]', '[9992, 9992, 12*w^2 - 17*w - 161]', '[9998, 9998, 41/2*w^2 - 89/2*w - 216]', '[9998, 9998, 31/2*w^2 - 125/2*w - 47]', '[9998, 9998, 47/2*w^2 - 79/2*w - 296]', '[9998, 9998, 9/2*w^2 - 11/2*w - 9]', '[9998, 9998, -17/2*w^2 + 99/2*w + 33]', '[9998, 9998, 1/2*w^2 + 15/2*w - 40]', '[9998, 9998, 4*w^2 - 13*w - 67]', '[9998, 9998, 12*w^2 + 5*w - 85]', '[9998, 9998, 8*w^2 + 23*w - 3]'], 'label': '3.3.1849.1', 'narrow_class_no': 1, 'primes': ['[2, 2, -1/2*w^2 + 1/2*w + 8]', '[2, 2, 1/2*w^2 - 3/2*w - 1]', '[2, 2, w + 3]', '[11, 11, -w^2 + 3*w + 7]', '[11, 11, -2*w - 1]', '[11, 11, -w^2 + w + 11]', '[27, 3, 3]', '[41, 41, 2*w + 5]', '[41, 41, -w^2 + 3*w + 3]', '[41, 41, -w^2 + w + 15]', '[43, 43, -3*w^2 + 11*w + 11]', '[47, 47, -w^2 - w + 5]', '[47, 47, w^2 - 5*w - 3]', '[47, 47, -2*w^2 + 4*w + 23]', '[59, 59, -w^2 + w + 13]', '[59, 59, w^2 - 3*w - 5]', '[59, 59, -2*w - 3]', '[97, 97, 7*w^2 - 11*w - 91]', '[97, 97, -2*w^2 - 8*w - 5]', '[97, 97, 5*w^2 - 19*w - 15]', '[107, 107, w^2 + 3*w - 1]', '[107, 107, -3*w^2 + 5*w + 37]', '[107, 107, w^2 - 5*w - 23]', '[113, 113, w^2 - 3*w - 1]', '[113, 113, w^2 - w - 17]', '[113, 113, -2*w - 7]', '[125, 5, -5]', '[127, 127, -w^2 - w - 1]', '[127, 127, 2*w^2 - 4*w - 29]', '[127, 127, -w^2 + 5*w - 3]', '[131, 131, -w^2 + 5*w - 1]', '[131, 131, 2*w^2 - 4*w - 27]', '[131, 131, w^2 + w - 1]', '[137, 137, 2*w^2 - 6*w - 5]', '[137, 137, -4*w - 11]', '[137, 137, 2*w^2 - 2*w - 31]', '[151, 151, -2*w^2 + 8*w + 3]', '[151, 151, 3*w^2 - 5*w - 41]', '[151, 151, -w^2 - 3*w - 3]', '[173, 173, 2*w^2 - 4*w - 25]', '[173, 173, w^2 + w - 3]', '[173, 173, -w^2 + 5*w + 1]', '[193, 193, -6*w - 17]', '[193, 193, 3*w^2 - 9*w - 7]', '[193, 193, 3*w^2 - 3*w - 47]', '[199, 199, w^2 + w - 7]', '[199, 199, 2*w^2 - 4*w - 21]', '[199, 199, -w^2 + 5*w + 5]', '[211, 211, 2*w - 7]', '[211, 211, w^2 - w - 3]', '[211, 211, -w^2 + 3*w + 15]', '[223, 223, w^2 - w - 7]', '[223, 223, w^2 - 3*w - 11]', '[223, 223, 2*w - 3]', '[257, 257, -2*w^2 - 4*w - 1]', '[257, 257, -3*w^2 + 13*w + 3]', '[257, 257, 5*w^2 - 9*w - 67]', '[269, 269, 2*w - 5]', '[269, 269, w^2 - 3*w - 13]', '[269, 269, w^2 - w - 5]', '[293, 293, -13*w^2 + 51*w + 35]', '[293, 293, -19*w^2 + 31*w + 247]', '[293, 293, 6*w^2 + 20*w + 9]', '[317, 317, 5*w^2 - 19*w - 17]', '[317, 317, 7*w^2 - 11*w - 89]', '[317, 317, 2*w^2 + 8*w + 3]', '[343, 7, -7]', '[379, 379, 3*w^2 - 11*w - 13]', '[379, 379, 4*w^2 - 6*w - 49]', '[379, 379, w^2 + 5*w + 1]', '[383, 383, -4*w - 5]', '[383, 383, -2*w^2 + 2*w + 25]', '[383, 383, 2*w^2 - 6*w - 11]', '[389, 389, 4*w^2 - 18*w - 13]', '[389, 389, -7*w^2 + 13*w + 83]', '[389, 389, 4*w^2 - 14*w - 11]', '[409, 409, 2*w - 11]', '[409, 409, w^2 - 3*w - 19]', '[409, 409, -w^2 + w - 1]', '[419, 419, 10*w^2 - 38*w - 31]', '[419, 419, -14*w^2 + 22*w + 181]', '[419, 419, 4*w^2 - 14*w - 17]', '[431, 431, -4*w^2 + 16*w + 13]', '[431, 431, 2*w^2 + 6*w - 1]', '[431, 431, -6*w^2 + 10*w + 75]', '[457, 457, -2*w^2 + 8*w + 9]', '[457, 457, 3*w^2 - 5*w - 35]', '[457, 457, w^2 + 3*w - 3]', '[557, 557, 5*w^2 - 9*w - 63]', '[557, 557, -3*w^2 + 13*w + 7]', '[557, 557, 2*w^2 + 4*w - 3]', '[563, 563, -9*w^2 + 35*w + 23]', '[563, 563, 13*w^2 - 21*w - 171]', '[563, 563, -4*w^2 - 14*w - 9]', '[601, 601, 5*w^2 - 17*w - 13]', '[601, 601, 6*w^2 - 8*w - 85]', '[601, 601, -w^2 - 9*w - 17]', '[613, 613, -2*w^2 + 15]', '[613, 613, 3*w^2 - 7*w - 31]', '[613, 613, 22*w^2 - 36*w - 285]', '[641, 641, 3*w^2 - 5*w - 43]', '[641, 641, -2*w^2 + 8*w + 1]', '[641, 641, -w^2 - 3*w - 5]', '[643, 643, 2*w^2 + 4*w - 1]', '[643, 643, 5*w^2 - 9*w - 65]', '[643, 643, -3*w^2 + 13*w + 5]', '[647, 647, 9*w^2 - 35*w - 27]', '[647, 647, 4*w^2 + 14*w + 5]', '[647, 647, 13*w^2 - 21*w - 167]', '[653, 653, -4*w^2 + 16*w + 7]', '[653, 653, 6*w^2 - 10*w - 81]', '[653, 653, -2*w^2 - 6*w - 5]', '[661, 661, -w^2 - 7*w - 13]', '[661, 661, -4*w^2 + 14*w + 9]', '[661, 661, 5*w^2 - 7*w - 71]', '[677, 677, -12*w^2 + 20*w + 155]', '[677, 677, -4*w^2 - 12*w - 3]', '[677, 677, -8*w^2 + 32*w + 21]', '[709, 709, -2*w^2 + 10*w - 3]', '[709, 709, 19*w^2 - 31*w - 249]', '[709, 709, 4*w^2 - 8*w - 55]', '[727, 727, -w^2 + 5*w + 21]', '[727, 727, -23*w^2 + 37*w + 301]', '[727, 727, -w^2 - w + 23]', '[733, 733, 2*w^2 + 2*w - 9]', '[733, 733, -2*w^2 + 10*w + 5]', '[733, 733, 4*w^2 - 8*w - 47]', '[739, 739, 2*w^2 - 6*w - 17]', '[739, 739, 2*w^2 - 2*w - 19]', '[739, 739, 4*w - 1]', '[773, 773, 8*w^2 - 12*w - 103]', '[773, 773, 6*w^2 - 22*w - 21]', '[773, 773, -2*w^2 - 10*w - 7]', '[809, 809, 4*w^2 + 16*w + 11]', '[809, 809, w^2 - 9*w - 7]', '[809, 809, 3*w^2 - w - 29]', '[821, 821, 3*w^2 + w - 23]', '[821, 821, 2*w^2 - 12*w - 9]', '[821, 821, 5*w^2 - 11*w - 51]', '[839, 839, 2*w^2 + 4*w - 7]', '[839, 839, 5*w^2 - 9*w - 59]', '[839, 839, 3*w^2 - 13*w - 11]', '[859, 859, w^2 + w - 11]', '[859, 859, 2*w^2 - 4*w - 17]', '[859, 859, w^2 - 5*w - 9]', '[881, 881, 4*w^2 - 14*w - 15]', '[881, 881, 5*w^2 - 7*w - 65]', '[881, 881, -w^2 - 7*w - 7]', '[887, 887, 5*w^2 - 7*w - 67]', '[887, 887, 4*w^2 - 14*w - 13]', '[887, 887, -w^2 - 7*w - 9]', '[907, 907, -3*w^2 - 11*w - 9]', '[907, 907, 10*w^2 - 16*w - 133]', '[907, 907, -7*w^2 + 27*w + 17]', '[911, 911, w^2 - 7*w - 7]', '[911, 911, 3*w^2 - 7*w - 27]', '[911, 911, 2*w^2 - 19]', '[919, 919, -3*w^2 - 5*w - 1]', '[919, 919, -4*w^2 + 18*w + 1]', '[919, 919, 7*w^2 - 13*w - 95]', '[947, 947, 4*w^2 - 6*w - 57]', '[947, 947, -3*w^2 + 11*w + 5]', '[947, 947, -w^2 - 5*w - 9]', '[967, 967, 8*w^2 - 30*w - 25]', '[967, 967, -3*w^2 - 13*w - 9]', '[967, 967, 11*w^2 - 17*w - 143]', '[991, 991, 2*w^2 - 8*w - 11]', '[991, 991, w^2 + 3*w - 5]', '[991, 991, 3*w^2 - 5*w - 33]', '[997, 997, 4*w^2 + 2*w - 27]', '[997, 997, 7*w^2 - 15*w - 75]', '[997, 997, -3*w^2 + 17*w + 11]']}
56. label: 4.4.725.1
    {'degree': 4, 'discriminant': 725, 'ideals': ['[1, 1, 1]', '[11, 11, -w^3 + 2*w^2 + w - 3]', '[11, 11, w^3 - 3*w]', '[16, 2, 2]', '[19, 19, -w^3 + 2*w + 2]', '[19, 19, 2*w^3 - 3*w^2 - 4*w + 2]', '[25, 5, 2*w^3 - 2*w^2 - 4*w + 1]', '[29, 29, w^3 - w^2 - 4*w + 1]', '[31, 31, w^3 - 4*w + 1]', '[31, 31, -w^2 + 2*w + 3]', '[41, 41, 2*w^2 - w - 3]', '[41, 41, -w^3 + 3*w^2 + w - 4]', '[49, 7, 2*w^3 - 3*w^2 - 5*w + 2]', '[49, 7, w^2 + w - 3]', '[61, 61, 2*w^3 - 3*w^2 - 4*w]', '[61, 61, -3*w^3 + 4*w^2 + 7*w - 3]', '[79, 79, 2*w^3 - 4*w^2 - 3*w + 2]', '[79, 79, w^3 + w^2 - 3*w - 5]', '[81, 3, -3]', '[89, 89, -3*w^3 + 4*w^2 + 5*w - 3]', '[89, 89, 3*w^3 - 2*w^2 - 7*w]', '[101, 101, -3*w^3 + 5*w^2 + 7*w - 5]', '[101, 101, -2*w^2 - w + 4]', '[109, 109, 3*w^3 - 5*w^2 - 5*w + 3]', '[109, 109, -2*w^3 + 7*w + 1]', '[109, 109, 4*w^3 - 5*w^2 - 9*w + 3]', '[109, 109, -2*w^3 + 5*w + 4]', '[121, 11, 3*w^3 - 3*w^2 - 6*w + 1]', '[121, 11, -3*w^3 + 3*w^2 + 6*w - 2]', '[121, 121, 2*w^3 - 2*w^2 - 7*w + 1]', '[121, 121, w^3 - 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7]', '[941, 941, -4*w^3 + w^2 + 11*w]', '[941, 941, -2*w^3 - w^2 + 10*w - 1]', '[941, 941, -5*w^3 + 5*w^2 + 9*w]', '[941, 941, -5*w^2 + 5*w + 6]', '[961, 31, -5*w^3 + 5*w^2 + 10*w - 3]', '[961, 31, 5*w^3 - 5*w^2 - 10*w + 2]', '[961, 961, -5*w^3 + 7*w^2 + 12*w - 5]', '[961, 961, w^3 + w^2 - 5]', '[971, 971, -2*w^3 - 3*w^2 + 8*w + 7]', '[971, 971, 3*w^3 - 8*w^2 - 2*w + 9]', '[976, 122, 4*w^3 - 6*w^2 - 8*w]', '[976, 122, -6*w^3 + 8*w^2 + 14*w - 6]', '[979, 979, -3*w^3 + 5*w^2 + 2*w - 6]', '[979, 979, -5*w^3 + 3*w^2 + 14*w - 2]', '[979, 979, 4*w^3 - 3*w^2 - 13*w + 7]', '[979, 979, -w^2 + 5*w + 6]', '[1021, 1021, -2*w^3 + 4*w^2 - w - 5]', '[1021, 1021, 3*w^3 - 6*w^2 - 8*w + 4]', '[1021, 1021, 3*w^3 - w^2 - 10*w + 3]', '[1021, 1021, -w^3 + 3*w^2 - 2*w - 7]', '[1025, 205, -2*w^3 + 2*w^2 + 9*w - 1]', '[1025, 205, -3*w^3 + 3*w^2 + 11*w - 4]', '[1049, 1049, 5*w^3 - 6*w^2 - 8*w + 2]', '[1049, 1049, -w^3 - 4*w^2 + 6*w + 6]', '[1049, 1049, -w^3 + 3*w^2 + 4*w - 9]', '[1049, 1049, -3*w^3 + 5*w^2 + 8*w - 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7]', '[1189, 1189, -6*w^3 + 7*w^2 + 12*w - 6]', '[1189, 1189, -5*w^3 + 4*w^2 + 10*w - 2]', '[1199, 1199, w^3 + 4*w^2 - 6*w - 9]', '[1199, 1199, -6*w^3 + 6*w^2 + 13*w - 2]', '[1199, 1199, 2*w^3 - 7*w^2 + 7]', '[1199, 1199, w^3 - 6*w^2 + 2*w + 10]', '[1199, 1199, -3*w^3 + 2*w^2 + 13*w - 6]', '[1199, 1199, -7*w^3 + 7*w^2 + 21*w - 9]', '[1199, 1199, 3*w^3 - 2*w^2 - 13*w - 3]', '[1199, 1199, -2*w^3 + 2*w^2 + 6*w + 5]', '[1201, 1201, w^3 + w - 5]', '[1201, 1201, 5*w^3 - 6*w^2 - 13*w + 2]', '[1225, 35, -4*w^3 + 7*w^2 + 9*w - 5]', '[1225, 35, -3*w^2 - w + 8]', '[1229, 1229, 6*w^3 - 7*w^2 - 14*w + 2]', '[1229, 1229, -4*w^3 + w^2 + 14*w]', '[1231, 1231, 5*w^3 - 8*w^2 - 12*w + 7]', '[1231, 1231, -3*w^3 + 2*w^2 + 12*w - 3]', '[1231, 1231, 2*w^3 - 6*w^2 + 11]', '[1231, 1231, -2*w^3 + w^2 + 10*w + 1]', '[1249, 1249, w^3 - 4*w - 7]', '[1249, 1249, -w^2 + 2*w - 5]', '[1259, 1259, w^3 - 6*w^2 + w + 11]', '[1259, 1259, 6*w^3 - 7*w^2 - 12*w + 5]', '[1264, 158, 4*w^3 - 8*w^2 - 6*w + 4]', '[1264, 158, 2*w^3 + 2*w^2 - 6*w - 10]', '[1271, 1271, w^3 + 2*w^2 - 2*w - 8]', '[1271, 1271, 3*w^3 + w^2 - 7*w - 7]', '[1271, 1271, -6*w^3 + 10*w^2 + 11*w - 8]', '[1271, 1271, -4*w^3 + 7*w^2 + 8*w - 4]', '[1279, 1279, 3*w^3 - 6*w^2 - 2*w + 8]', '[1279, 1279, -4*w^3 + w^2 + 12*w]', '[1289, 1289, 4*w^3 - 3*w^2 - 14*w + 2]', '[1289, 1289, -6*w^3 + 6*w^2 + 13*w - 4]', '[1289, 1289, 2*w^3 - 3*w^2 - 3*w - 4]', '[1289, 1289, w^2 - 8]', '[1291, 1291, 5*w^3 - 8*w^2 - 9*w + 4]', '[1291, 1291, 4*w^3 - 6*w^2 - 11*w + 3]', '[1296, 6, -6]', '[1301, 1301, 2*w^3 - 7*w^2 - 3*w + 8]', '[1301, 1301, -5*w^3 + 2*w^2 + 13*w - 1]', '[1301, 1301, -2*w^3 + 7*w^2 + 3*w - 11]', '[1301, 1301, 3*w^3 - 3*w^2 - 8*w - 5]', '[1319, 1319, 8*w^3 - 7*w^2 - 20*w + 2]', '[1319, 1319, 8*w^3 - 10*w^2 - 17*w + 8]', '[1321, 1321, 5*w^3 - 6*w^2 - 6*w + 3]', '[1321, 1321, -4*w^3 + w^2 + 16*w + 1]', '[1321, 1321, -3*w^3 + 4*w^2 + 6*w - 10]', '[1321, 1321, 8*w^3 - 7*w^2 - 20*w + 3]', '[1331, 11, w^3 - 3*w^2 + 3*w + 6]', '[1331, 11, -4*w^3 + 2*w^2 + 13*w - 3]', '[1331, 121, 5*w^3 - 4*w^2 - 14*w + 6]', '[1331, 121, -2*w^3 + 3*w^2 - 6]', '[1331, 1331, -3*w^3 + 8*w^2 + 3*w - 10]', '[1331, 1331, -w^3 - 4*w^2 + 5*w + 7]', '[1361, 1361, 5*w^3 - 7*w^2 - 7*w + 9]', '[1361, 1361, -6*w^3 + 4*w^2 + 15*w - 4]', '[1381, 1381, 7*w^3 - 9*w^2 - 17*w + 7]', '[1381, 1381, 8*w^3 - 9*w^2 - 19*w + 4]', '[1399, 1399, -w^3 - 5*w^2 + 7*w + 6]', '[1399, 1399, -2*w^3 + 8*w^2 - w - 13]', '[1399, 1399, 3*w^2 - 2*w - 12]', '[1399, 1399, -2*w^3 + 4*w^2 + 5*w - 12]', '[1409, 1409, -4*w^3 + 5*w^2 + 13*w - 5]', '[1409, 1409, 6*w^3 - 2*w^2 - 17*w - 2]', '[1421, 203, -4*w^3 + 2*w^2 + 11*w - 4]', '[1421, 203, 3*w^3 - 5*w^2 - 3*w + 9]', '[1424, 178, -6*w^3 + 8*w^2 + 10*w - 6]', '[1424, 178, 6*w^3 - 4*w^2 - 14*w]', '[1429, 1429, -w^3 + 6*w^2 - 2*w - 9]', '[1429, 1429, 7*w^3 - 7*w^2 - 16*w + 3]', '[1439, 1439, 3*w^3 - 7*w^2 - 6*w + 4]', '[1439, 1439, 7*w^3 - 10*w^2 - 12*w + 8]', '[1441, 1441, -6*w^3 + 8*w^2 + 10*w - 5]', '[1441, 1441, -w^3 + w^2 - 7]', '[1441, 1441, 8*w^3 - 9*w^2 - 18*w + 9]', '[1441, 1441, -w^3 + 3*w^2 + w + 3]', '[1471, 1471, 6*w^3 - 9*w^2 - 14*w + 8]', '[1471, 1471, -6*w^3 + 5*w^2 + 16*w - 6]', '[1481, 1481, -5*w^3 + 2*w^2 + 16*w]', '[1481, 1481, 2*w^3 - 5*w^2 + 2*w + 6]', '[1489, 1489, -7*w^3 + 7*w^2 + 16*w - 5]', '[1489, 1489, -3*w^3 + 8*w^2 + 4*w - 11]', '[1499, 1499, -w^3 + 3*w^2 + 2*w - 11]', '[1499, 1499, 6*w^3 - 4*w^2 - 18*w + 3]', '[1499, 1499, -2*w^3 + 7*w^2 + 3*w - 10]', '[1499, 1499, -3*w^3 + 8*w^2 + 2*w - 14]', '[1501, 1501, -w^3 + 4*w^2 - 4*w + 4]', '[1501, 1501, -8*w^3 + 8*w^2 + 19*w - 4]', '[1501, 1501, 5*w^3 - 5*w^2 - 7*w + 1]', '[1501, 1501, 4*w^3 - w^2 - 14*w - 10]', '[1511, 1511, w^3 - 2*w - 8]', '[1511, 1511, -2*w^3 + 7*w^2 + 2*w - 11]', '[1519, 217, 3*w^3 - 8*w^2 - 4*w + 10]', '[1519, 217, -2*w^3 + 2*w^2 + 10*w - 5]', '[1519, 217, 5*w^2 - 2*w - 8]', '[1519, 217, 4*w^3 - 4*w^2 - 14*w + 1]', '[1525, 305, -4*w^3 + 3*w^2 + 6*w + 4]', '[1525, 305, -w^3 + 4*w^2 + 3*w - 11]', '[1529, 1529, 5*w^3 - 8*w^2 - 10*w + 5]', '[1529, 1529, 7*w^3 - 10*w^2 - 16*w + 9]', '[1529, 1529, 6*w^3 - 11*w^2 - 10*w + 17]', '[1529, 1529, -5*w^3 + 6*w^2 + 16*w - 10]', '[1529, 1529, w^3 + 2*w^2 - w - 7]', '[1529, 1529, -5*w^3 + 3*w^2 + 14*w - 3]', '[1529, 1529, 2*w^3 - 7*w^2 - 2*w + 8]', '[1529, 1529, -3*w^3 + 5*w^2 + 10*w - 13]', '[1539, 57, 3*w^3 - 6*w - 6]', '[1539, 57, -6*w^3 + 9*w^2 + 12*w - 6]', '[1549, 1549, -6*w^3 + 3*w^2 + 16*w - 1]', '[1549, 1549, 3*w^3 - 4*w^2 - 7*w - 4]', '[1559, 1559, -7*w^3 + 8*w^2 + 15*w - 6]', '[1559, 1559, -7*w^3 + 7*w^2 + 16*w - 4]', '[1559, 1559, -5*w^3 + 7*w^2 + 15*w - 9]', '[1559, 1559, -4*w^3 + w^2 + 16*w + 2]', '[1609, 1609, -4*w^3 + 13*w + 2]', '[1609, 1609, 6*w^3 - 5*w^2 - 19*w + 1]', '[1616, 202, -6*w^3 + 10*w^2 + 14*w - 10]', '[1616, 202, -4*w^2 - 2*w + 8]', '[1619, 1619, 2*w^3 + 3*w^2 - 11*w - 3]', '[1619, 1619, 5*w^3 - 7*w^2 - 10*w]', '[1619, 1619, 6*w^3 - 6*w^2 - 17*w]', '[1619, 1619, 6*w^3 - 5*w^2 - 13*w + 3]', '[1621, 1621, -5*w^3 + 4*w^2 + 15*w - 7]', '[1621, 1621, 6*w^3 - 7*w^2 - 16*w + 3]', '[1639, 1639, w^3 - 4*w^2 + 3*w + 8]', '[1639, 1639, 5*w^3 - 10*w^2 - 6*w + 13]', '[1639, 1639, -w^2 + w + 8]', '[1639, 1639, 5*w^2 - 3*w - 8]', '[1639, 1639, -4*w^3 - w^2 + 12*w + 3]', '[1639, 1639, -9*w^3 + 11*w^2 + 20*w - 10]', '[1639, 1639, -3*w^3 + 11*w - 1]', '[1639, 1639, 5*w^3 - 5*w^2 - 16*w + 6]', '[1669, 1669, -7*w^3 + 5*w^2 + 17*w - 1]', '[1669, 1669, 5*w^3 - 6*w^2 - 12*w - 1]', '[1669, 1669, -6*w^3 + 9*w^2 + 13*w - 7]', '[1669, 1669, 4*w^2 + w - 9]', '[1681, 41, -w^3 + 7*w^2 - 3*w - 13]', '[1681, 41, 6*w^3 - 5*w^2 - 19*w + 4]', '[1681, 1681, -3*w^3 + 4*w^2 + 8*w - 11]', '[1681, 1681, -4*w^3 + 8*w^2 + 3*w - 9]', '[1691, 1691, -4*w^3 + 7*w^2 + 8*w - 3]', '[1691, 1691, -w^3 + w^2 + 8*w - 9]', '[1691, 1691, 5*w^3 - 5*w^2 - 16*w - 3]', '[1691, 1691, -w^3 - 2*w^2 + 2*w + 9]', '[1699, 1699, 2*w^3 - 4*w^2 - 4*w - 3]', '[1699, 1699, -2*w^3 + 11*w]', '[1709, 1709, -w^3 + w^2 + w - 7]', '[1709, 1709, 6*w^3 - 7*w^2 - 11*w + 3]', '[1721, 1721, -4*w^3 + 6*w^2 + 13*w - 7]', '[1721, 1721, 8*w^3 - 9*w^2 - 18*w + 7]', '[1744, 218, 6*w^3 - 10*w^2 - 10*w + 6]', '[1744, 218, -4*w^3 + 14*w + 2]', '[1744, 218, 8*w^3 - 10*w^2 - 18*w + 6]', '[1744, 218, -4*w^3 + 10*w + 8]', '[1759, 1759, -3*w^3 - 2*w^2 + 11*w + 3]', '[1759, 1759, 3*w^3 - 8*w^2 - w + 12]', '[1769, 1769, w^3 - 4*w^2 + 5*w + 6]', '[1769, 1769, -4*w^3 + 8*w^2 + 5*w - 13]', '[1801, 1801, -2*w^3 + 7*w^2 - 3*w - 9]', '[1801, 1801, 7*w^3 - 8*w^2 - 18*w + 4]', '[1831, 1831, 5*w^3 - 10*w^2 - 9*w + 8]', '[1831, 1831, w^3 + 4*w^2 - 3*w - 11]', '[1831, 1831, 6*w^3 - 9*w^2 - 11*w + 4]', '[1831, 1831, -4*w^3 + w^2 + 9*w + 7]', '[1859, 143, -4*w^3 + w^2 + 12*w - 1]', '[1859, 143, 7*w^3 - 7*w^2 - 20*w + 11]', '[1859, 143, -3*w^3 + 6*w^2 + 2*w - 9]', '[1859, 143, w^3 - w^2 + 4*w + 5]', '[1861, 1861, -6*w^3 + 6*w^2 + 11*w]', '[1861, 1861, 6*w^3 - 7*w^2 - 11*w + 4]', '[1861, 1861, -2*w^3 + 2*w^2 + 3*w - 8]', '[1861, 1861, -6*w^2 + 6*w + 7]', '[1871, 1871, -7*w^3 + 5*w^2 + 17*w + 1]', '[1871, 1871, -6*w^3 + 8*w^2 + 9*w - 4]', '[1879, 1879, -6*w^3 + 5*w^2 + 12*w + 1]', '[1879, 1879, -2*w^3 + 5*w^2 + 6*w - 12]', '[1879, 1879, w^3 - 7*w^2 + 4*w + 7]', '[1879, 1879, -5*w^3 + w^2 + 17*w + 2]', '[1891, 1891, 3*w^3 - 15*w - 5]', '[1891, 1891, 2*w^3 - 9*w^2 + 4*w + 7]', '[1891, 1891, -6*w^3 + 5*w^2 + 19*w - 2]', '[1891, 1891, -5*w^3 + 11*w^2 + 7*w - 14]', '[1919, 1919, w^3 + w^2 + w + 5]', '[1919, 1919, -6*w^3 + 8*w^2 + 15*w - 16]', '[1919, 1919, -6*w^3 + 5*w^2 + 12*w - 4]', '[1919, 1919, 7*w^3 - 8*w^2 - 14*w + 8]', '[1931, 1931, 3*w^3 - 7*w^2 - 7*w + 4]', '[1931, 1931, 7*w^3 - 8*w^2 - 17*w + 3]', '[1936, 22, 6*w^3 - 6*w^2 - 12*w + 2]', '[1936, 22, -6*w^3 + 6*w^2 + 12*w - 4]', '[1936, 242, 4*w^3 - 4*w^2 - 14*w + 2]', '[1936, 242, 2*w^3 - 2*w^2 - 10*w + 4]', '[1951, 1951, -4*w^3 + 6*w^2 + 10*w - 1]', '[1951, 1951, 2*w^2 + 2*w - 9]', '[1969, 1969, 10*w^3 - 11*w^2 - 23*w + 12]', '[1969, 1969, -2*w^3 + 2*w^2 + w - 9]', '[1969, 1969, -3*w^3 - 3*w^2 + 14*w + 5]', '[1969, 1969, 8*w^3 - 11*w^2 - 17*w + 8]', '[1969, 1969, -w^3 - 2*w^2 + 12*w + 7]', '[1969, 1969, 2*w^3 - 3*w - 7]', '[1969, 1969, 8*w^3 - 8*w^2 - 21*w + 10]', '[1969, 1969, -2*w^3 + 4*w^2 - 9]', '[1975, 395, -2*w^3 + 2*w^2 - w + 4]', '[1975, 395, -7*w^3 + 7*w^2 + 19*w - 1]', '[1999, 1999, 4*w^3 - 8*w^2 - 7*w + 4]', '[1999, 1999, w^3 + 3*w^2 - 3*w - 11]', '[2009, 287, 7*w^3 - 10*w^2 - 17*w + 9]', '[2009, 287, -5*w^3 + 2*w^2 + 13*w - 2]', '[2009, 287, -6*w^3 + 5*w^2 + 16*w - 7]', '[2009, 287, 3*w^3 - 12*w + 2]', '[2011, 2011, -6*w^3 + 7*w^2 + 18*w - 6]', '[2011, 2011, -w^3 + 2*w^2 + 8*w - 4]', '[2025, 15, -6*w^3 + 6*w^2 + 12*w - 3]', '[2069, 2069, -4*w^3 + w^2 + 8*w + 6]', '[2069, 2069, -7*w^3 + 10*w^2 + 14*w - 6]', '[2071, 2071, 6*w^3 - 7*w^2 - 10*w + 2]', '[2071, 2071, 7*w^3 - 6*w^2 - 16*w]', '[2071, 2071, 2*w^3 - 4*w^2 - 7*w + 15]', '[2071, 2071, -5*w^3 + 3*w^2 + 17*w + 9]', '[2071, 2071, w^3 - 7*w^2 + 4*w + 10]', '[2071, 2071, 8*w^3 - 7*w^2 - 19*w]', '[2071, 2071, 4*w^3 - w^2 - 17*w - 5]', '[2071, 2071, 2*w^2 - 7*w + 8]', '[2096, 262, -6*w^3 + 4*w^2 + 16*w - 4]', '[2096, 262, 2*w^3 + 2*w^2 - 10*w]', '[2099, 2099, -2*w^3 - 4*w^2 + 9*w + 8]', '[2099, 2099, -3*w^3 + 9*w^2 + w - 11]', '[2101, 2101, 7*w^3 - 6*w^2 - 20*w + 7]', '[2101, 2101, -5*w^3 + 7*w^2 + 12*w - 3]', '[2101, 2101, 2*w^3 - 5*w^2 - 6*w + 13]', '[2101, 2101, -w^3 + 4*w^2 - 3*w - 9]', '[2111, 2111, 4*w^3 - 7*w^2 - 8*w + 1]', '[2111, 2111, -7*w^3 + 9*w^2 + 13*w - 7]', '[2111, 2111, -3*w^3 - w^2 + 12*w + 1]', '[2111, 2111, -6*w^3 + 4*w^2 + 13*w]', '[2129, 2129, 6*w^3 - 5*w^2 - 17*w + 7]', '[2129, 2129, -3*w^3 - 2*w^2 + 12*w + 3]', '[2131, 2131, -4*w^3 + 11*w]', '[2131, 2131, 4*w^3 - w^2 - 15*w + 2]', '[2141, 2141, 5*w^3 - 8*w^2 - 13*w + 6]', '[2141, 2141, -7*w^3 + 7*w^2 + 15*w - 6]', '[2141, 2141, 5*w^3 - 4*w^2 - 17*w + 4]', '[2141, 2141, -w^3 + 4*w^2 + 5*w - 9]', '[2161, 2161, 2*w^3 - 5*w^2 + 3*w + 6]', '[2161, 2161, -6*w^3 + 3*w^2 + 19*w - 1]', '[2179, 2179, -w^3 + 3*w^2 - 3*w - 8]', '[2179, 2179, w^3 + 5*w^2 - 8*w - 10]', '[2179, 2179, 4*w^3 - 2*w^2 - 13*w + 5]', '[2179, 2179, -8*w^3 + 9*w^2 + 17*w - 4]', '[2221, 2221, 4*w^3 - 5*w^2 - 14*w + 3]', '[2221, 2221, 3*w^3 - 9*w^2 - w + 9]', '[2224, 278, -2*w^3 + 4*w^2 + 4*w - 12]', '[2224, 278, 4*w^3 - 10*w^2 - 4*w + 12]', '[2224, 278, 6*w^3 - 10*w^2 - 12*w + 8]', '[2224, 278, -4*w^3 + 4*w^2 + 14*w - 4]', '[2225, 445, -w^3 + 5*w - 7]', '[2225, 445, -w^3 + 5*w + 8]', '[2239, 2239, -5*w^3 + 8*w^2 + 11*w - 5]', '[2239, 2239, -7*w^3 + 6*w^2 + 16*w - 3]', '[2239, 2239, -6*w^3 + 7*w^2 + 10*w - 5]', '[2239, 2239, 6*w^3 - 7*w^2 - 14*w]', '[2251, 2251, w^3 + 5*w^2 - 8*w - 9]', '[2251, 2251, -3*w^3 + 3*w^2 + 12*w - 4]', '[2281, 2281, -3*w^3 - 2*w^2 + 13*w + 3]', '[2281, 2281, -5*w^3 + 3*w^2 + 15*w - 4]', '[2291, 2291, -7*w^3 + 4*w^2 + 20*w - 1]', '[2291, 2291, 4*w^3 - 7*w^2 - 2*w + 7]', '[2299, 209, -4*w^3 + 6*w^2 + 11*w - 1]', '[2299, 209, 5*w^3 - 6*w^2 - 13*w - 1]', '[2299, 209, -w^3 + 3*w^2 + 5*w - 10]', '[2299, 209, -w^3 - w + 8]', '[2299, 2299, -3*w^2 - w + 10]', '[2299, 2299, -7*w^3 + 8*w^2 + 14*w - 4]', '[2299, 2299, -6*w^3 + 5*w^2 + 12*w]', '[2299, 2299, 4*w^3 - 7*w^2 - 9*w + 3]', '[2309, 2309, 6*w^3 - 6*w^2 - 11*w + 1]', '[2309, 2309, -6*w^2 + 5*w + 7]', '[2311, 2311, -5*w^3 + 2*w^2 + 15*w - 1]', '[2311, 2311, -3*w^3 + 6*w^2 + w - 8]', '[2311, 2311, -7*w^3 + 8*w^2 + 14*w - 7]', '[2311, 2311, -6*w^3 + 5*w^2 + 12*w - 3]', '[2321, 2321, 2*w^3 - 5*w^2 - 7*w + 11]', '[2321, 2321, -3*w^3 + 6*w + 7]', '[2321, 2321, -7*w^3 + 9*w^2 + 16*w - 5]', '[2321, 2321, -3*w^3 + 7*w^2 + 8*w - 4]', '[2339, 2339, 6*w^3 - 7*w^2 - 10*w + 3]', '[2339, 2339, 2*w^3 - 3*w^2 - 3*w + 10]', '[2341, 2341, 5*w^3 - 7*w^2 - 11*w + 1]', '[2341, 2341, -2*w^3 - 3*w^2 + 10*w + 2]', '[2349, 87, -3*w^3 + 3*w^2 + 12*w - 3]', '[2351, 2351, -w^3 + 9*w - 2]', '[2351, 2351, -4*w^3 + 2*w^2 + 13*w - 6]', '[2381, 2381, -w^2 + 2*w - 6]', '[2381, 2381, w^3 - 4*w - 8]', '[2384, 298, -6*w^3 + 8*w^2 + 14*w - 4]', '[2384, 298, 2*w^3 - 2*w^2 - 6*w - 6]', '[2384, 298, 6*w^3 - 4*w^2 - 18*w + 4]', '[2384, 298, 2*w - 8]', '[2389, 2389, -3*w^3 + 2*w^2 + 13*w + 1]', '[2389, 2389, 3*w^3 - 2*w^2 - 13*w + 4]', '[2399, 2399, 4*w^3 - 3*w^2 - 15*w + 4]', '[2399, 2399, w^3 + w^2 - 4*w - 10]', '[2401, 7, 7]', '[2401, 49, -4*w^3 + w^2 + 17*w - 1]', '[2401, 49, -2*w^3 - w^2 + 13*w + 4]', '[2411, 2411, -w^3 + 6*w^2 + 3*w - 12]', '[2411, 2411, -8*w^3 + 7*w^2 + 19*w - 4]', '[2411, 2411, 6*w^3 - 7*w^2 - 9*w + 5]', '[2411, 2411, 7*w^3 - 5*w^2 - 16*w + 2]', '[2441, 2441, -3*w^3 + 6*w^2 + 9*w - 14]', '[2441, 2441, -3*w^3 - 2*w^2 + 15*w + 2]', '[2441, 2441, -7*w^3 + 5*w^2 + 17*w - 6]', '[2441, 2441, 8*w^3 - 11*w^2 - 20*w + 10]', '[2449, 2449, -5*w^3 + 4*w^2 + 17*w - 3]', '[2449, 2449, 5*w^3 - 13*w^2 - 2*w + 9]', '[2449, 2449, 5*w^3 + 3*w^2 - 18*w - 15]', '[2449, 2449, w^3 - 9*w]', '[2459, 2459, 3*w^3 + 2*w^2 - 9*w - 12]', '[2459, 2459, -5*w^3 + 6*w^2 + 16*w - 5]', '[2459, 2459, 5*w^3 - 10*w^2 - 7*w + 5]', '[2459, 2459, 2*w^3 - 8*w^2 + w + 8]', '[2489, 2489, 4*w^3 - 11*w^2 - w + 10]', '[2489, 2489, -4*w^3 + 4*w^2 + 15*w]', '[2489, 2489, w^3 + w^2 - 10*w - 2]', '[2489, 2489, -4*w^3 + 10*w^2 + 6*w - 15]', '[2501, 2501, 3*w^3 - 9*w^2 + 14]', '[2501, 2501, -3*w^3 - 3*w^2 + 12*w + 4]', '[2501, 2501, 5*w^3 - 7*w^2 - 11*w]', '[2501, 2501, -2*w^3 - 3*w^2 + 11*w + 2]', '[2511, 93, -3*w^3 + 12*w - 3]', '[2511, 93, 3*w^2 - 6*w - 9]', '[2519, 2519, w^3 - 2*w^2 - 3*w - 5]', '[2519, 2519, -w^3 + 2*w^2 + 3*w - 10]', '[2519, 2519, 6*w^3 - 5*w^2 - 12*w + 1]', '[2519, 2519, 7*w^3 - 8*w^2 - 14*w + 5]', '[2521, 2521, -6*w^3 + 3*w^2 + 21*w + 1]', '[2521, 2521, 7*w^3 - 8*w^2 - 14*w + 6]', '[2525, 505, -3*w^3 + 7*w^2 + 9*w - 13]', '[2525, 505, 4*w^3 - 8*w^2 - 11*w + 6]', '[2531, 2531, -5*w^3 + 6*w^2 + 16*w - 8]', '[2531, 2531, -2*w^3 + 4*w^2 + 3*w - 12]', '[2539, 2539, -5*w^3 + w^2 + 11*w + 7]', '[2539, 2539, 9*w^3 - 12*w^2 - 18*w + 11]', '[2539, 2539, 8*w^3 - 12*w^2 - 15*w + 8]', '[2539, 2539, 4*w^3 - 4*w^2 - 11*w - 6]', '[2549, 2549, 8*w^3 - 7*w^2 - 18*w + 6]', '[2549, 2549, 5*w^3 - 5*w^2 - 17*w + 8]', '[2579, 2579, -3*w^3 + 4*w^2 + 6*w - 11]', '[2579, 2579, -2*w^3 + 8*w^2 - 13]', '[2581, 2581, -4*w^3 + 10*w^2 + 5*w - 11]', '[2581, 2581, -w^3 - 5*w^2 + 5*w + 10]', '[2591, 2591, -w^3 - 6*w^2 + 8*w + 7]', '[2591, 2591, -2*w^3 + 9*w^2 - 2*w - 15]', '[2621, 2621, -6*w^3 + 4*w^2 + 19*w - 5]', '[2621, 2621, 7*w^3 - 10*w^2 - 10*w + 7]', '[2641, 2641, -5*w^3 + 10*w^2 + 6*w - 14]', '[2641, 2641, -10*w^3 + 14*w^2 + 22*w - 13]', '[2641, 2641, -5*w^3 + w^2 + 15*w + 1]', '[2641, 2641, 2*w^3 + 2*w^2 - 5*w - 10]', '[2641, 2641, 5*w^3 - 3*w^2 - 19*w + 9]', '[2641, 2641, 2*w^3 - 6*w^2 + 2*w + 9]', '[2641, 2641, 3*w^3 - 3*w^2 - 11*w + 12]', '[2641, 2641, 6*w^3 - 6*w^2 - 11*w + 3]', '[2671, 2671, -6*w^3 + 2*w^2 + 15*w - 1]', '[2671, 2671, -w^3 + 7*w^2 - w - 13]', '[2689, 2689, 7*w^3 - 9*w^2 - 14*w + 1]', '[2689, 2689, 2*w^3 - 7*w^2 + w + 14]', '[2699, 2699, 7*w^3 - 9*w^2 - 18*w + 6]', '[2699, 2699, -6*w^3 + 5*w^2 + 17*w - 8]', '[2704, 26, -8*w^3 + 10*w^2 + 16*w - 8]', '[2704, 26, 6*w^3 - 4*w^2 - 12*w]', '[2711, 2711, 8*w^3 - 9*w^2 - 20*w + 4]', '[2711, 2711, -4*w^3 + w^2 + 14*w - 2]', '[2719, 2719, -5*w^3 + 19*w + 3]', '[2719, 2719, 9*w^3 - 11*w^2 - 19*w + 8]', '[2719, 2719, 8*w^3 - 9*w^2 - 18*w + 1]', '[2719, 2719, -4*w^3 + 5*w^2 + 14*w - 4]', '[2725, 545, -w^3 + w^2 - 3*w + 7]', '[2725, 545, -4*w^2 + 7*w + 9]', '[2725, 545, -3*w^2 - w + 13]', '[2725, 545, 6*w^3 - 6*w^2 - 17*w - 2]', '[2729, 2729, 3*w^2 + 3*w - 8]', '[2729, 2729, 2*w^3 + w^2 - 4*w - 9]', '[2741, 2741, 6*w^2 - 5*w - 11]', '[2741, 2741, 8*w^3 - 9*w^2 - 17*w + 5]', '[2749, 2749, 2*w^3 - 7*w^2 - 5*w + 14]', '[2749, 2749, 4*w^3 + w^2 - 9*w - 8]', '[2749, 2749, 9*w^3 - 8*w^2 - 22*w + 2]', '[2749, 2749, -2*w^3 + 8*w^2 - 4*w - 11]', '[2759, 2759, 2*w^3 - 5*w^2 + w + 9]', '[2759, 2759, 8*w^3 - 2*w^2 - 23*w - 5]', '[2759, 2759, -7*w^3 + 13*w^2 + 7*w - 12]', '[2759, 2759, -4*w^3 + w^2 + 13*w - 2]', '[2761, 2761, 3*w^3 - 9*w^2 - 2*w + 12]', '[2761, 2761, -4*w^3 + 3*w^2 + 15*w - 3]', '[2761, 2761, -2*w^3 + w^2 + 11*w]', '[2761, 2761, -w^3 - 5*w^2 + 6*w + 8]', '[2791, 2791, 7*w^3 - 10*w^2 - 10*w + 6]', '[2791, 2791, -5*w^3 + 7*w^2 + 5*w - 8]', '[2791, 2791, -5*w^3 + 2*w^2 + 18*w - 3]', '[2791, 2791, -2*w^3 - w^2 + 13*w - 1]', '[2801, 2801, 3*w^2 - 2*w - 13]', '[2801, 2801, 4*w^2 - 6*w - 13]', '[2809, 53, -5*w^3 + 2*w^2 + 17*w - 2]', '[2809, 53, 7*w^3 - 8*w^2 - 17*w + 2]', '[2816, 44, -4*w^3 + 8*w^2 + 4*w - 12]', '[2816, 44, 4*w^3 - 12*w]', '[2819, 2819, -6*w^3 + 2*w^2 + 20*w + 1]', '[2819, 2819, 5*w^2 - 12]', '[2819, 2819, -w^3 + 4*w^2 + 4*w - 11]', '[2819, 2819, 5*w^3 - 10*w^2 - 10*w + 8]', '[2831, 2831, -9*w^3 + 14*w^2 + 16*w - 10]', '[2831, 2831, 6*w^3 - w^2 - 14*w - 8]', '[2831, 2831, 5*w^3 - 3*w^2 - 18*w - 1]', '[2831, 2831, -7*w^3 + 5*w^2 + 16*w + 1]', '[2831, 2831, -6*w^3 + 8*w^2 + 13*w - 2]', '[2831, 2831, 5*w^3 - 12*w^2 - 6*w + 17]', '[2831, 2831, -w^3 + 2*w^2 + 4*w - 11]', '[2831, 2831, 3*w^3 - w^2 - 5*w - 7]', '[2861, 2861, 3*w^3 - 9*w^2 - 2*w + 10]', '[2861, 2861, 4*w^3 - 6*w^2 - 14*w + 5]', '[2864, 358, -8*w^3 + 6*w^2 + 20*w - 6]', '[2864, 358, -8*w^3 + 8*w^2 + 18*w - 6]', '[2864, 358, -4*w^3 + 2*w^2 + 16*w - 2]', '[2864, 358, 8*w^3 - 6*w^2 - 16*w - 4]', '[2879, 2879, -3*w^3 + 9*w^2 + 4*w - 14]', '[2879, 2879, -8*w^3 + 9*w^2 + 17*w - 8]', '[2909, 2909, -3*w^3 + 9*w^2 + 5*w - 13]', '[2909, 2909, -3*w^3 - w^2 + 12*w]', '[2909, 2909, 4*w^3 - 7*w^2 - 9*w + 1]', '[2909, 2909, -w^3 + 3*w^2 + 2*w - 12]', '[2929, 2929, 6*w^3 - 3*w^2 - 14*w + 5]', '[2929, 2929, -7*w^3 + 10*w^2 + 12*w - 15]', '[2939, 2939, -8*w^3 + 13*w^2 + 16*w - 12]', '[2939, 2939, -5*w^3 + 7*w^2 + 16*w - 10]', '[2959, 2959, -2*w^3 + 3*w^2 + 9*w + 6]', '[2959, 2959, -4*w^3 + 5*w^2 + 13*w - 15]', '[2959, 2959, 7*w^3 - 9*w^2 - 12*w + 6]', '[2959, 2959, -7*w^3 + 5*w^2 + 16*w]', '[2969, 2969, -8*w^3 + 8*w^2 + 17*w - 8]', '[2969, 2969, -w^3 + 8*w^2 - 5*w - 13]', '[2981, 2981, 9*w^3 - 10*w^2 - 20*w + 6]', '[2981, 2981, -6*w^3 + 5*w^2 + 20*w - 6]', '[2981, 2981, 2*w^3 - w^2 - 6*w - 8]', '[2981, 2981, -6*w^2 + 5*w + 10]', '[2989, 427, 6*w^3 - 6*w^2 - 9*w + 1]', '[2989, 427, -2*w^3 + 8*w^2 + 2*w - 13]', '[2989, 427, 6*w^2 - 5*w - 9]', '[2989, 427, -9*w^3 + 11*w^2 + 19*w - 11]', '[2999, 2999, -6*w^3 + 2*w^2 + 21*w]', '[2999, 2999, w^3 - 5*w^2 + 7*w + 7]', '[3001, 3001, -9*w^3 + 9*w^2 + 21*w - 7]', '[3001, 3001, 6*w^3 - 6*w^2 - 9*w + 4]', '[3011, 3011, 8*w^3 - 11*w^2 - 14*w + 8]', '[3011, 3011, -5*w^3 + 3*w^2 + 14*w - 6]', '[3011, 3011, -3*w^3 + 5*w^2 + 2*w - 10]', '[3011, 3011, 7*w^3 - 4*w^2 - 16*w - 2]', '[3019, 3019, -w^3 + 4*w^2 + w - 14]', '[3019, 3019, -3*w^3 + 9*w^2 + 5*w - 12]', '[3025, 55, -w^3 + w^2 + 2*w - 8]', '[3025, 55, -w^3 + w^2 + 2*w + 7]', '[3025, 605, -6*w^2 + 3*w + 11]', '[3025, 605, 3*w^3 - 9*w^2 - 3*w + 10]', '[3041, 3041, 4*w^3 + w^2 - 11*w - 11]', '[3041, 3041, -5*w^3 - w^2 + 17*w + 5]', '[3041, 3041, -2*w^3 - 5*w^2 + 10*w + 8]', '[3041, 3041, -6*w^3 + 5*w^2 + 18*w - 9]', '[3049, 3049, -6*w^3 + 8*w^2 + 18*w - 9]', '[3049, 3049, 4*w^3 - 9*w^2 - 8*w + 6]', '[3049, 3049, 3*w^3 - 2*w^2 - 6*w - 9]', '[3049, 3049, -5*w^3 + w^2 + 13*w - 1]', '[3056, 382, -2*w^3 + 8*w^2 - 12]', '[3056, 382, -8*w^3 + 8*w^2 + 18*w - 4]', '[3061, 3061, -3*w^3 - 4*w^2 + 12*w + 9]', '[3061, 3061, 2*w^3 - 8*w^2 + 3*w + 13]', '[3061, 3061, -3*w^3 - 3*w^2 + 13*w + 4]', '[3061, 3061, 4*w^3 - 11*w^2 - 2*w + 13]', '[3089, 3089, -3*w^3 + 5*w^2 + 2*w - 11]', '[3089, 3089, -5*w^3 + 5*w^2 + 17*w - 2]', '[3091, 3091, 11*w^3 - 14*w^2 - 23*w + 10]', '[3091, 3091, 2*w^3 + w^2 - 13*w - 3]', '[3091, 3091, 10*w^3 - 12*w^2 - 28*w + 17]', '[3091, 3091, 7*w^3 - 4*w^2 - 13*w - 3]', '[3091, 3091, 2*w^3 - w^2 - 4*w - 9]', '[3091, 3091, 3*w^3 + 5*w^2 - 12*w - 8]', '[3091, 3091, 3*w^3 - 4*w^2 - 6*w - 5]', '[3091, 3091, -3*w^3 + 9*w^2 + 3*w - 13]', '[3121, 3121, w^3 + 6*w^2 - 7*w - 7]', '[3121, 3121, -3*w^3 + 10*w^2 + w - 16]', '[3131, 3131, -w^3 - 6*w^2 + 3*w + 10]', '[3131, 3131, 3*w^3 - 5*w^2 - 12*w + 7]', '[3131, 3131, -5*w^3 + 7*w^2 + 16*w - 7]', '[3131, 3131, -7*w^3 + 14*w^2 + 13*w - 17]', '[3161, 3161, 4*w^3 - 10*w^2 - 3*w + 16]', '[3161, 3161, 6*w^3 - w^2 - 18*w - 3]', '[3161, 3161, 5*w^3 - 10*w^2 - 4*w + 11]', '[3161, 3161, -3*w^3 + 6*w + 8]', '[3169, 3169, -8*w^3 + 7*w^2 + 21*w - 8]', '[3169, 3169, 7*w^3 - 11*w^2 - 16*w + 10]', '[3191, 3191, 7*w^3 - 6*w^2 - 19*w + 8]', '[3191, 3191, 6*w^3 - 7*w^2 - 15*w]', '[3191, 3191, -6*w^3 + 10*w^2 + 13*w - 8]', '[3191, 3191, 7*w^3 - 10*w^2 - 17*w + 8]', '[3209, 3209, 9*w^3 - 12*w^2 - 21*w + 10]', '[3209, 3209, 5*w^3 - 8*w^2 - 10*w]', '[3211, 247, 4*w^3 - 6*w^2 - 13*w - 2]', '[3211, 247, -6*w^3 + 8*w^2 + 14*w - 3]', '[3211, 247, -2*w^3 + 2*w + 7]', '[3211, 247, -3*w^3 + 5*w^2 + 11*w - 15]', '[3221, 3221, 5*w^2 + w - 11]', '[3221, 3221, -8*w^3 + 6*w^2 + 19*w - 2]', '[3229, 3229, 5*w^3 - 7*w^2 - 15*w + 2]', '[3229, 3229, -2*w^3 - 5*w^2 + 11*w + 9]', '[3239, 3239, -7*w^3 + 9*w^2 + 10*w - 7]', '[3239, 3239, 2*w^3 - 12*w + 1]', '[3239, 3239, -w^3 + 7*w^2 - 11]', '[3239, 3239, 7*w^3 - 10*w^2 - 13*w + 3]', '[3251, 3251, -6*w^3 + 5*w^2 + 10*w - 3]', '[3251, 3251, -9*w^3 + 10*w^2 + 20*w - 9]', '[3259, 3259, -3*w^3 + 6*w^2 + 2*w - 13]', '[3259, 3259, 4*w^3 - w^2 - 12*w + 5]', '[3275, 655, -3*w^3 + 6*w^2 + 2*w - 12]', '[3275, 655, 3*w^3 - 7*w^2 + w + 8]', '[3299, 3299, -6*w^3 + 10*w^2 + 12*w - 7]', '[3299, 3299, 5*w^3 - 2*w^2 - 13*w + 4]', '[3299, 3299, 5*w^3 - 8*w^2 - 7*w + 13]', '[3299, 3299, 7*w^3 - 7*w^2 - 18*w - 2]', '[3301, 3301, 5*w^3 - 7*w^2 - 12*w - 1]', '[3301, 3301, 5*w^3 - 6*w^2 - 17*w + 3]', '[3301, 3301, -6*w^3 + 9*w^2 + 7*w - 10]', '[3301, 3301, -8*w^3 + 5*w^2 + 21*w - 3]', '[3319, 3319, -5*w^3 + 7*w^2 + 16*w - 9]', '[3319, 3319, -7*w^3 + 7*w^2 + 13*w]', '[3319, 3319, -9*w^3 + 9*w^2 + 21*w - 5]', '[3319, 3319, -7*w^2 + 7*w + 8]', '[3321, 123, -9*w^3 + 9*w^2 + 21*w - 6]', '[3321, 123, -3*w^3 + 15*w]', '[3344, 418, 2*w^2 + 4*w - 8]', '[3344, 418, 6*w^2 - 4*w - 10]', '[3344, 418, 2*w^3 - 8*w^2 + 10]', '[3344, 418, 6*w^3 - 8*w^2 - 16*w + 4]', '[3361, 3361, 4*w^3 - 11*w + 2]', '[3361, 3361, -6*w^3 + 3*w^2 + 19*w - 2]', '[3371, 3371, 8*w^3 - 10*w^2 - 17*w + 3]', '[3371, 3371, 4*w^2 - 13]', '[3371, 3371, -4*w^3 - w^2 + 17*w + 2]', '[3371, 3371, -5*w^3 + 3*w^2 + 9*w + 6]', '[3376, 422, 4*w^3 - 2*w^2 - 16*w]', '[3376, 422, -2*w^3 + 8*w^2 + 2*w - 10]', '[3379, 3379, 6*w^3 - 14*w^2 - 6*w + 17]', '[3379, 3379, 3*w^3 - w^2 - 14*w + 1]', '[3379, 3379, 3*w^3 - w^2 - 14*w - 1]', '[3379, 3379, -2*w^3 + 3*w^2 + 2*w + 6]', '[3379, 3379, 8*w^3 - 5*w^2 - 26*w]', '[3379, 3379, -7*w^3 - 2*w^2 + 23*w + 14]', '[3379, 3379, 7*w^3 - 16*w^2 - 5*w + 13]', '[3379, 3379, 9*w^3 - 5*w^2 - 23*w - 5]', '[3389, 3389, -2*w^3 - 4*w^2 + 11*w + 3]', '[3389, 3389, w^3 - 8*w^2 + 5*w + 8]', '[3389, 3389, -7*w^3 + 6*w^2 + 14*w + 1]', '[3389, 3389, 8*w^3 - 7*w^2 - 22*w + 8]', '[3391, 3391, 9*w^3 - 10*w^2 - 20*w + 7]', '[3391, 3391, -5*w^3 + 7*w^2 + 16*w - 8]', '[3401, 3401, -3*w^3 + 7*w^2 + 8*w - 16]', '[3401, 3401, -5*w^3 + 6*w^2 + 18*w - 1]', '[3401, 3401, -5*w^3 + 12*w^2 + 3*w - 15]', '[3401, 3401, -6*w^3 + 7*w^2 + 17*w - 1]', '[3401, 3401, -7*w^3 + 7*w^2 + 11*w + 5]', '[3401, 3401, -5*w^3 + 18*w + 3]', '[3401, 3401, -5*w^3 + 12*w^2 + 9*w - 19]', '[3401, 3401, 8*w^3 - 8*w^2 - 22*w - 7]', '[3421, 3421, 5*w^3 - 7*w^2 - 12*w]', '[3421, 3421, 6*w^3 - w^2 - 11*w - 6]', '[3421, 3421, 4*w^3 - 11*w^2 - 7*w + 18]', '[3421, 3421, -4*w^3 + 6*w^2 + 15*w - 3]', '[3449, 3449, 7*w^3 - 8*w^2 - 13*w + 4]', '[3449, 3449, -2*w^3 + 2*w^2 + 3*w - 9]', '[3461, 3461, -5*w^3 + 17*w + 3]', '[3461, 3461, -3*w^3 + 8*w^2 - w - 10]', '[3469, 3469, 8*w^3 - 9*w^2 - 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18*w - 3]', '[4769, 4769, -w^3 + w^2 + 9]', '[4775, 955, -5*w^3 + 4*w^2 + 18*w - 4]', '[4775, 955, 2*w^2 - w - 12]', '[4799, 4799, -5*w^3 + 4*w^2 + 19*w + 2]', '[4799, 4799, -7*w^3 + 3*w^2 + 22*w]', '[4801, 4801, 7*w^2 - 6*w - 13]', '[4801, 4801, -3*w^3 + 5*w^2 + 6*w - 14]', '[4801, 4801, 9*w^3 - 10*w^2 - 19*w + 5]', '[4801, 4801, -6*w^3 + 7*w^2 + 19*w - 8]', '[4819, 4819, 6*w^3 - 8*w^2 - 19*w + 7]', '[4819, 4819, -7*w^3 + 6*w^2 + 20*w - 10]', '[4819, 4819, 8*w^3 - 10*w^2 - 21*w + 6]', '[4819, 4819, -10*w^3 + 13*w^2 + 20*w - 11]', '[4831, 4831, -6*w^3 + 2*w^2 + 21*w - 1]', '[4831, 4831, 8*w^3 - 9*w^2 - 19*w + 1]', '[4861, 4861, 5*w^2 + w - 12]', '[4861, 4861, 6*w^3 - 11*w^2 - 13*w + 9]', '[4864, 76, -4*w^3 + 8*w + 8]', '[4864, 76, 8*w^3 - 12*w^2 - 16*w + 8]', '[4889, 4889, 5*w^3 - 2*w^2 - 14*w + 6]', '[4889, 4889, -4*w^3 + 7*w^2 + 4*w - 14]', '[4901, 377, -w^3 - 6*w^2 + 5*w + 9]', '[4901, 377, -5*w^3 + 12*w^2 + 7*w - 16]', '[4909, 4909, -9*w^3 + 11*w^2 + 18*w - 8]', '[4909, 4909, -7*w^3 + 9*w^2 + 21*w - 9]', '[4919, 4919, 6*w^3 - 8*w^2 - 7*w + 10]', '[4919, 4919, -2*w^3 - w^2 + 14*w - 2]', '[4931, 4931, -9*w^3 + 6*w^2 + 26*w - 3]', '[4931, 4931, 8*w^3 - 3*w^2 - 23*w - 2]', '[4931, 4931, 7*w^3 - 5*w^2 - 13*w - 1]', '[4931, 4931, -3*w^3 + 7*w^2 + 10*w - 14]', '[4939, 4939, -3*w^3 - w^2 + 14*w - 3]', '[4939, 4939, 6*w^3 - 11*w^2 - 9*w + 19]', '[4939, 4939, 3*w^3 - 6*w^2 + 2*w + 7]', '[4939, 4939, -7*w^3 + 3*w^2 + 18*w - 2]', '[4941, 183, 6*w^3 - 9*w^2 - 12*w]', '[4941, 183, -9*w^3 + 12*w^2 + 21*w - 9]', '[4949, 707, w^3 - 8*w^2 + 9]', '[4949, 707, 3*w^3 + 3*w^2 - 9*w - 14]', '[4949, 707, 6*w^3 - 12*w^2 - 9*w + 7]', '[4949, 707, -4*w^3 + 11*w^2 + 6*w - 17]', '[4951, 4951, -7*w^3 + 9*w^2 + 21*w - 12]', '[4951, 4951, -2*w^3 + 4*w^2 + 11*w - 3]', '[4961, 451, -2*w^3 - 6*w^2 + 13*w + 11]', '[4961, 451, 3*w^3 - 4*w^2 - 13*w + 3]', '[4961, 451, 5*w^3 - 6*w^2 - 17*w + 8]', '[4961, 451, -w^3 + 9*w^2 - 7*w - 12]', '[4961, 4961, -7*w^3 + 7*w^2 + 12*w - 5]', '[4961, 4961, -8*w^3 + 5*w^2 + 18*w - 1]', '[4961, 4961, -9*w^3 + 12*w^2 + 16*w - 11]', '[4961, 4961, -9*w^3 + 9*w^2 + 20*w - 7]', '[4969, 4969, -9*w^3 + 9*w^2 + 19*w - 9]', '[4969, 4969, -w^3 + 9*w^2 - 6*w - 15]', '[4976, 622, -2*w^3 + 14*w + 4]', '[4976, 622, 6*w^2 - 14]', '[4999, 4999, -4*w^3 - w^2 + 17*w + 1]', '[4999, 4999, -w^3 + 6*w^2 + 2*w - 16]', '[5009, 5009, -3*w^3 - 3*w^2 + 14*w + 3]', '[5009, 5009, 6*w^3 - 9*w^2 - 12*w + 1]', '[5011, 5011, 10*w^3 - 12*w^2 - 23*w + 6]', '[5011, 5011, -9*w^3 + 11*w^2 + 18*w - 9]', '[5011, 5011, -5*w^3 + 18*w + 2]', '[5011, 5011, 7*w^3 - 5*w^2 - 14*w + 1]', '[5021, 5021, -6*w^3 + 4*w^2 + 17*w - 7]', '[5021, 5021, -10*w^3 + 11*w^2 + 21*w - 3]', '[5021, 5021, -5*w^3 + 17*w + 2]', '[5021, 5021, -8*w^3 + 7*w^2 + 15*w + 2]', '[5039, 5039, -2*w^3 + 8*w^2 - 2*w - 17]', '[5039, 5039, 10*w^3 - 7*w^2 - 25*w + 1]', '[5039, 5039, -8*w^3 + 7*w^2 + 17*w - 5]', '[5039, 5039, 8*w^3 - 8*w^2 - 23*w]', '[5041, 71, -w^3 + 9*w^2 - 5*w - 17]', '[5041, 71, 8*w^3 - 7*w^2 - 25*w + 6]', '[5051, 5051, -2*w^3 + 9*w + 11]', '[5051, 5051, 7*w^3 - 10*w^2 - 18*w + 7]', '[5051, 5051, -10*w^3 + 10*w^2 + 22*w - 1]', '[5051, 5051, -8*w^3 + 8*w^2 + 14*w + 1]', '[5071, 5071, -9*w^3 + 7*w^2 + 25*w - 6]', '[5071, 5071, -3*w^3 + 5*w^2 + 14*w - 1]', '[5071, 5071, 2*w^3 - 9*w^2 - 2*w + 15]', '[5071, 5071, -3*w^2 + 7*w + 11]', '[5099, 5099, 6*w^3 - 7*w^2 - 17*w - 1]', '[5099, 5099, -10*w^3 + 9*w^2 + 24*w - 5]', '[5099, 5099, 6*w^3 - 8*w^2 - 14*w - 1]', '[5099, 5099, 5*w^3 - 6*w^2 - 18*w + 2]', '[5101, 5101, -4*w^3 + 19*w]', '[5101, 5101, -4*w^3 + 6*w^2 + 7*w - 15]', '[5104, 638, -8*w^3 + 12*w^2 + 18*w - 10]', '[5104, 638, -2*w^3 - 2*w^2 + 2*w + 8]', '[5111, 5111, -w^3 - 6*w^2 + 8*w + 11]', '[5111, 5111, 5*w^3 - 3*w^2 - 22*w + 11]', '[5111, 5111, 5*w^3 - 3*w^2 - 22*w - 7]', '[5111, 5111, 2*w^3 - 9*w^2 + 2*w + 11]', '[5119, 5119, -8*w^3 + 5*w^2 + 20*w - 5]', '[5119, 5119, 7*w^3 - 10*w^2 - 10*w + 13]', '[5149, 5149, -3*w^3 + 11*w^2 - w - 16]', '[5149, 5149, 9*w^3 - 7*w^2 - 21*w - 2]', '[5149, 5149, -w^2 - 3*w + 13]', '[5149, 5149, -6*w^3 + 2*w^2 + 23*w + 5]', '[5171, 5171, -w^3 - 3*w^2 + 12*w + 9]', '[5171, 5171, 7*w^3 - 11*w^2 - 11*w + 16]', '[5171, 5171, w^3 - 2*w^2 + w + 11]', '[5171, 5171, 9*w^3 - 10*w^2 - 23*w + 4]', '[5179, 5179, 9*w^3 - 10*w^2 - 22*w + 3]', '[5179, 5179, -5*w^3 + w^2 + 18*w - 1]', '[5189, 5189, -6*w^3 + w^2 + 21*w + 2]', '[5189, 5189, 9*w^3 - 11*w^2 - 20*w + 4]', '[5191, 5191, -3*w^3 + 10*w^2 + 4*w - 16]', '[5191, 5191, -3*w^3 - 6*w^2 + 15*w + 10]', '[5191, 5191, -2*w^3 + 9*w^2 + 5*w - 17]', '[5191, 5191, w^2 + w - 11]', '[5209, 5209, 5*w^2 - 7*w - 15]', '[5209, 5209, -2*w^3 + 4*w^2 + 9*w - 13]', '[5225, 1045, -6*w^3 + 11*w^2 + 12*w - 8]', '[5225, 1045, -4*w^3 + 3*w^2 + 16*w - 1]', '[5225, 1045, 3*w^3 - 2*w^2 - 14*w + 3]', '[5225, 1045, -w^3 - 4*w^2 + 2*w + 12]', '[5231, 5231, -2*w^3 + 3*w^2 + 12*w - 7]', '[5231, 5231, 7*w^3 - 8*w^2 - 22*w + 5]', '[5239, 403, 3*w^3 - 6*w^2 + w + 8]', '[5239, 403, -8*w^3 + 15*w^2 + 10*w - 17]', '[5239, 403, -7*w^3 + 4*w^2 + 21*w - 3]', '[5239, 403, 7*w^3 - 20*w - 5]', '[5261, 5261, 7*w^3 - 8*w^2 - 17*w - 2]', '[5261, 5261, -8*w^3 + 12*w^2 + 17*w - 9]', '[5269, 5269, -w^3 - 4*w^2 + 3*w + 14]', '[5269, 5269, -w^3 + 2*w^2 + 8*w - 11]', '[5269, 5269, -6*w^3 + 7*w^2 + 18*w + 1]', '[5269, 5269, 5*w^3 - 10*w^2 - 9*w + 5]', '[5275, 1055, -7*w^2 + 6*w + 12]', '[5275, 1055, -3*w^3 + 4*w^2 + 13*w - 5]', '[5281, 5281, 10*w^3 - 10*w^2 - 23*w + 4]', '[5281, 5281, 7*w^3 - 7*w^2 - 11*w + 1]', '[5296, 662, 2*w^3 + 4*w^2 - 6*w - 14]', '[5296, 662, 2*w^3 - 2*w^2 - 2*w + 10]', '[5309, 5309, 6*w^3 - 12*w^2 - 11*w + 9]', '[5309, 5309, -w^3 - 2*w^2 + 11*w + 9]', '[5339, 5339, 5*w^3 - 7*w^2 - 8*w - 5]', '[5339, 5339, -5*w^3 - 5*w^2 + 19*w + 11]', '[5339, 5339, -6*w^3 + 16*w^2 + 3*w - 20]', '[5339, 5339, -6*w^3 + 9*w^2 + 17*w - 22]', '[5339, 5339, -10*w^3 + 5*w^2 + 22*w + 7]', '[5339, 5339, -6*w^3 + w^2 + 24*w + 4]', '[5339, 5339, -9*w^3 + 9*w^2 + 20*w - 4]', '[5339, 5339, w^3 + 4*w^2 - 14*w - 4]', '[5341, 763, -6*w^3 + 19*w + 4]', '[5341, 763, 8*w^3 - 9*w^2 - 20*w + 2]', '[5341, 763, -w^3 + 4*w^2 + w - 15]', '[5341, 763, 5*w^3 - 7*w^2 - 17*w + 6]', '[5341, 763, 3*w^3 - 10*w^2 - w + 11]', '[5341, 763, -4*w^3 + 11*w^2 + 7*w - 15]', '[5341, 763, 6*w^3 - 3*w^2 - 20*w + 4]', '[5341, 763, 5*w^3 - 11*w^2 - 3*w + 13]', '[5351, 5351, -3*w^3 - 4*w^2 + 13*w + 4]', '[5351, 5351, 3*w^3 - 10*w^2 + w + 17]', '[5371, 5371, 7*w^3 - 12*w^2 - 12*w + 7]', '[5371, 5371, 9*w^3 - 13*w^2 - 22*w + 12]', '[5371, 5371, -8*w^3 + 7*w^2 + 21*w - 10]', '[5371, 5371, -6*w^3 + 9*w^2 + 17*w - 5]', '[5381, 5381, 10*w^3 - 12*w^2 - 25*w + 8]', '[5381, 5381, 2*w^3 - 8*w^2 + 5*w + 11]', '[5381, 5381, -9*w^3 + 8*w^2 + 23*w - 10]', '[5381, 5381, 9*w^3 - 11*w^2 - 19*w + 2]', '[5401, 5401, -8*w^3 + 6*w^2 + 17*w + 2]', '[5401, 5401, 3*w^3 - 4*w^2 - 6*w - 6]', '[5401, 5401, -2*w^3 + w^2 + 4*w + 10]', '[5401, 5401, 9*w^3 - 11*w^2 - 17*w + 5]', '[5419, 5419, 10*w^3 - 9*w^2 - 24*w + 3]', '[5419, 5419, -9*w^3 + 9*w^2 + 20*w - 6]', '[5419, 5419, -5*w^3 + 2*w^2 + 20*w - 1]', '[5419, 5419, -6*w^3 + 8*w^2 + 19*w - 11]', '[5429, 5429, -8*w^3 + 9*w^2 + 24*w - 7]', '[5429, 5429, 9*w^3 - 12*w^2 - 16*w + 8]', '[5429, 5429, 4*w^3 - 11*w^2 - 6*w + 13]', '[5429, 5429, -w^3 + 8*w^2 - 13]', '[5431, 5431, -2*w^3 + 5*w^2 + 4*w - 16]', '[5431, 5431, -3*w^3 + 10*w^2 + 5*w - 14]', '[5441, 5441, 11*w^3 - 11*w^2 - 26*w + 5]', '[5441, 5441, -w^3 + 8*w^2 - 4*w - 11]', '[5449, 5449, 8*w^3 - 13*w^2 - 14*w + 8]', '[5449, 5449, -5*w^3 + 12*w + 10]', '[5456, 682, 2*w^2 - 2*w - 12]', '[5456, 682, -4*w^2 + 8*w + 10]', '[5456, 682, -4*w^3 + 16*w - 2]', '[5456, 682, 2*w^2 - 2*w + 6]', '[5471, 5471, -10*w^3 + 9*w^2 + 24*w - 4]', '[5471, 5471, -3*w^3 - w^2 + 17*w]', '[5479, 5479, 3*w^3 - 10*w^2 + 2*w + 15]', '[5479, 5479, -2*w^3 + 3*w^2 - 3*w - 7]', '[5489, 5489, -7*w^3 + 7*w^2 + 22*w - 7]', '[5489, 5489, -4*w^3 + 4*w^2 + 2*w - 7]', '[5489, 5489, 6*w^3 - 4*w^2 - 17*w + 8]', '[5489, 5489, -3*w^3 + 5*w^2 + w - 11]', '[5489, 5489, w^3 - 2*w^2 - 2*w + 11]', '[5489, 5489, 10*w^3 - 10*w^2 - 26*w + 13]', '[5489, 5489, -13*w^3 + 17*w^2 + 28*w - 17]', '[5489, 5489, -w^3 - 6*w^2 + 6*w + 11]', '[5521, 5521, -8*w^3 + 5*w^2 + 17*w + 3]', '[5521, 5521, -3*w^3 + 5*w^2 + w - 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11*w^2 - 31*w + 18]', '[9701, 9701, 5*w^3 - 6*w^2 - 11*w - 7]', '[9701, 9701, -7*w^3 + 3*w^2 + 26*w + 2]', '[9701, 9701, -11*w^3 + 13*w^2 + 23*w - 11]', '[9701, 9701, -4*w^3 + 10*w^2 - w - 12]', '[9701, 9701, -7*w^3 + w^2 + 23*w + 3]', '[9701, 9701, -3*w^3 - 4*w^2 + 13*w + 2]', '[9701, 9701, 3*w^3 - 10*w^2 + w + 19]', '[9701, 9701, -11*w^3 + 13*w^2 + 23*w - 10]', '[9725, 1945, w^3 - 13]', '[9725, 1945, -7*w^3 + 3*w^2 + 26*w + 3]', '[9739, 9739, -3*w^3 + 3*w^2 + 5*w - 12]', '[9739, 9739, 9*w^3 - 10*w^2 - 17*w + 5]', '[9739, 9739, 3*w^3 + 6*w^2 - 15*w - 13]', '[9739, 9739, 5*w^3 - 5*w^2 - 19*w + 8]', '[9781, 9781, 5*w^3 - 12*w^2 - w + 14]', '[9781, 9781, -7*w^3 + 23*w + 5]', '[9791, 9791, -6*w^3 + 3*w^2 + 23*w - 1]', '[9791, 9791, -11*w^3 + 12*w^2 + 24*w - 10]', '[9801, 33, 9*w^3 - 9*w^2 - 18*w + 3]', '[9801, 33, 9*w^3 - 9*w^2 - 18*w + 6]', '[9801, 363, -6*w^3 + 6*w^2 + 21*w - 3]', '[9801, 363, -3*w^3 + 3*w^2 + 15*w - 6]', '[9811, 9811, -8*w^3 + 6*w^2 + 21*w - 10]', '[9811, 9811, 11*w^3 - 12*w^2 - 26*w + 2]', '[9811, 9811, 5*w^3 - 7*w^2 - 5*w + 13]', '[9811, 9811, -6*w^3 + 23*w + 2]', '[9829, 9829, 8*w^3 - 8*w^2 - 12*w + 5]', '[9829, 9829, -12*w^3 + 12*w^2 + 28*w - 9]', '[9839, 9839, 4*w^3 - w^2 - 7*w - 10]', '[9839, 9839, 4*w^2 + 3*w - 12]', '[9871, 9871, -9*w^3 + 13*w^2 + 20*w - 9]', '[9871, 9871, 8*w^3 - 10*w^2 - 18*w - 1]', '[9889, 9889, 2*w^3 - 2*w^2 - 13*w + 4]', '[9889, 9889, 7*w^3 - 9*w^2 - 18*w + 1]', '[9889, 9889, w^3 + w^2 + 2*w - 11]', '[9889, 9889, -7*w^3 + 7*w^2 + 23*w - 5]', '[9899, 9899, 3*w^3 + w^2 - 18*w - 12]', '[9899, 9899, 11*w^3 - 10*w^2 - 31*w + 12]', '[9899, 9899, -4*w^3 + 7*w^2 + 14*w - 19]', '[9899, 9899, 2*w^3 - 7*w^2 + 5*w + 11]', '[9899, 9899, -w^3 - 4*w^2 + 11*w + 15]', '[9899, 9899, -7*w^3 + 10*w^2 + 17*w - 4]', '[9899, 9899, -6*w^3 + w^2 + 21*w]', '[9899, 9899, 5*w^3 - w^2 - 22*w + 8]', '[9901, 9901, w^3 + 8*w^2 - 10*w - 18]', '[9901, 9901, w^3 - 2*w^2 - 11*w + 4]', '[9904, 1238, -2*w^3 + 10*w^2 - 2*w - 12]', '[9904, 1238, 8*w^2 - 6*w - 14]', '[9929, 9929, -8*w^3 + 10*w^2 + 20*w - 3]', '[9929, 9929, -9*w^3 + 7*w^2 + 27*w - 9]', '[9931, 9931, 3*w^3 - w^2 - 16*w + 2]', '[9931, 9931, -2*w^3 + 10*w^2 + 2*w - 15]', '[9931, 9931, w^3 + 4*w^2 + 2*w - 10]', '[9931, 9931, 10*w^3 - 15*w^2 - 24*w + 14]', '[9949, 9949, -7*w^3 + 2*w^2 + 24*w]', '[9949, 9949, 10*w^3 - 12*w^2 - 23*w + 4]', '[10000, 10, 10]'], 'label': '4.4.725.1', 'narrow_class_no': 1, 'primes': ['[11, 11, -w^3 + 2*w^2 + w - 3]', '[11, 11, w^3 - 3*w]', '[16, 2, 2]', '[19, 19, -w^3 + 2*w + 2]', '[19, 19, 2*w^3 - 3*w^2 - 4*w + 2]', '[25, 5, 2*w^3 - 2*w^2 - 4*w + 1]', '[29, 29, w^3 - w^2 - 4*w + 1]', '[31, 31, w^3 - 4*w + 1]', '[31, 31, -w^2 + 2*w + 3]', '[41, 41, 2*w^2 - w - 3]', '[41, 41, -w^3 + 3*w^2 + w - 4]', '[49, 7, 2*w^3 - 3*w^2 - 5*w + 2]', '[49, 7, w^2 + w - 3]', '[61, 61, 2*w^3 - 3*w^2 - 4*w]', '[61, 61, -3*w^3 + 4*w^2 + 7*w - 3]', '[79, 79, 2*w^3 - 4*w^2 - 3*w + 2]', '[79, 79, w^3 + w^2 - 3*w - 5]', '[81, 3, -3]', '[89, 89, -3*w^3 + 4*w^2 + 5*w - 3]', '[89, 89, 3*w^3 - 2*w^2 - 7*w]', '[101, 101, -3*w^3 + 5*w^2 + 7*w - 5]', '[101, 101, -2*w^2 - w + 4]', '[109, 109, 3*w^3 - 5*w^2 - 5*w + 3]', '[109, 109, -2*w^3 + 7*w + 1]', '[109, 109, 4*w^3 - 5*w^2 - 9*w + 3]', '[109, 109, -2*w^3 + 5*w + 4]', '[121, 11, 3*w^3 - 3*w^2 - 6*w + 1]', '[131, 131, -3*w^3 + 2*w^2 + 8*w - 2]', '[131, 131, w^3 + w^2 - 5*w]', '[139, 139, -w^3 + 2*w^2 + 2*w - 6]', '[139, 139, 2*w^3 - 5*w^2 - 2*w + 6]', '[139, 139, 3*w^3 - 5*w^2 - 6*w + 4]', '[139, 139, -2*w^3 + 2*w^2 + 7*w - 2]', '[149, 149, -3*w^3 + 4*w^2 + 7*w - 2]', '[149, 149, w^3 - w^2 - 3*w - 3]', '[149, 149, 3*w^3 - 2*w^2 - 9*w + 2]', '[149, 149, w - 4]', '[169, 13, -4*w^3 + 5*w^2 + 8*w - 4]', '[169, 13, 3*w^3 - 2*w^2 - 6*w]', '[179, 179, -4*w^3 + 3*w^2 + 10*w - 3]', '[179, 179, -4*w^3 + 4*w^2 + 9*w - 3]', '[179, 179, -2*w^3 + w^2 + 8*w - 1]', '[179, 179, 4*w^3 - 3*w^2 - 8*w - 2]', '[191, 191, -w^3 + 4*w^2 - 6]', '[191, 191, -4*w^3 + 4*w^2 + 9*w - 2]', '[211, 211, 2*w^3 - w^2 - 8*w]', '[211, 211, -w^3 + 4*w^2 + w - 5]', '[229, 229, w^3 - 3*w^2 + w + 5]', '[229, 229, 2*w^3 - 7*w]', '[251, 251, 3*w^3 - 4*w^2 - 7*w + 1]', '[251, 251, w^3 - w - 4]', '[269, 269, 3*w^3 - 6*w^2 - 3*w + 7]', '[269, 269, 3*w^3 - 9*w - 2]', '[271, 271, -3*w^3 + w^2 + 10*w]', '[271, 271, 4*w^3 - 5*w^2 - 9*w + 2]', '[281, 281, -3*w^3 + w^2 + 11*w - 1]', '[281, 281, -2*w^2 + 5*w + 4]', '[281, 281, -3*w^3 + 3*w^2 + 10*w - 1]', '[281, 281, 3*w^3 - 4*w^2 - 7*w - 1]', '[311, 311, -w^3 + 7*w + 2]', '[311, 311, 3*w^2 - 7]', '[331, 331, w^3 + 2*w^2 - 3*w - 7]', '[331, 331, w^3 - w^2 - w + 5]', '[359, 359, -4*w^3 + 5*w^2 + 6*w - 4]', '[359, 359, -5*w^3 + 4*w^2 + 12*w - 2]', '[361, 19, -4*w^3 + 4*w^2 + 8*w - 3]', '[379, 379, -3*w^3 + 10*w + 2]', '[379, 379, 2*w^3 - 5*w^2 + 6]', '[389, 389, -5*w^3 + 6*w^2 + 10*w - 3]', '[389, 389, w^3 + 3*w^2 - 6*w - 7]', '[409, 409, -4*w^3 + 4*w^2 + 7*w]', '[409, 409, -4*w^2 + 4*w + 5]', '[421, 421, -2*w^3 + 2*w^2 + 8*w - 3]', '[421, 421, w^3 + 3*w^2 - 6*w - 6]', '[431, 431, 4*w^3 - 6*w^2 - 10*w + 5]', '[431, 431, 3*w^3 - 5*w^2 - 6*w + 2]', '[431, 431, -4*w^3 + 3*w^2 + 8*w - 2]', '[431, 431, -5*w^3 + 6*w^2 + 10*w - 6]', '[449, 449, 4*w^3 - 5*w^2 - 6*w + 2]', '[449, 449, -w^3 + 2*w^2 + w - 7]', '[461, 461, 5*w^3 - 4*w^2 - 12*w + 1]', '[461, 461, w^3 + 2*w^2 - 2*w - 6]', '[479, 479, w^3 + 3*w^2 - 5*w - 7]', '[479, 479, 2*w^3 - 6*w^2 - w + 6]', '[491, 491, 3*w^2 - 5*w - 6]', '[491, 491, -2*w^3 - w^2 + 9*w + 1]', '[499, 499, 4*w^3 - 3*w^2 - 12*w + 4]', '[499, 499, 4*w^3 - 5*w^2 - 10*w + 2]', '[499, 499, -5*w^3 + 5*w^2 + 11*w - 4]', '[499, 499, -4*w^3 + 4*w^2 + 7*w - 3]', '[509, 509, -5*w^3 + 6*w^2 + 10*w - 4]', '[509, 509, -4*w^2 + 3*w + 8]', '[509, 509, -3*w^3 + w^2 + 10*w - 1]', '[509, 509, 5*w^3 - 6*w^2 - 12*w + 3]', '[521, 521, -5*w^3 + 6*w^2 + 10*w - 5]', '[521, 521, 2*w^3 - 6*w^2 - w + 7]', '[521, 521, w^3 - 5*w^2 + 9]', '[521, 521, w^3 + 3*w^2 - 5*w - 6]', '[529, 23, 3*w^3 - 5*w^2 - 6*w + 1]', '[529, 23, -2*w^3 - w^2 + 8*w + 1]', '[541, 541, 3*w^3 - 5*w^2 - 8*w + 3]', '[541, 541, -w^3 + 3*w^2 + 4*w - 7]', '[569, 569, -w^3 + 7*w - 1]', '[569, 569, -3*w^3 + 2*w^2 + 11*w]', '[571, 571, w^3 - 4*w - 6]', '[571, 571, 4*w^3 - 5*w^2 - 11*w + 2]', '[571, 571, -5*w^3 + 5*w^2 + 11*w - 3]', '[571, 571, -2*w^3 + 6*w^2 + 2*w - 9]', '[599, 599, 3*w^3 - 6*w^2 - 6*w + 4]', '[599, 599, 3*w^2 - 8]', '[601, 601, -4*w^3 + 2*w^2 + 12*w - 1]', '[601, 601, -5*w^3 + 7*w^2 + 11*w - 5]', '[619, 619, -w^3 + 5*w^2 - w - 6]', '[619, 619, 4*w^2 - 3*w - 7]', '[631, 631, 2*w^3 - 3*w^2 - 5*w - 3]', '[631, 631, 5*w^3 - 3*w^2 - 13*w + 2]', '[631, 631, 2*w^3 + w^2 - 11*w - 2]', '[631, 631, 6*w^3 - 6*w^2 - 14*w + 3]', '[641, 641, 2*w^2 - w - 9]', '[641, 641, -w^3 + 3*w^2 + 2*w - 10]', '[659, 659, -4*w^3 + w^2 + 14*w + 1]', '[659, 659, 5*w^3 - 6*w^2 - 11*w + 1]', '[709, 709, 6*w^3 - 7*w^2 - 14*w + 3]', '[709, 709, 6*w^3 - 8*w^2 - 15*w + 7]', '[709, 709, 2*w^3 - 5*w^2 - 5*w + 2]', '[709, 709, -4*w^3 + 3*w^2 + 11*w - 5]', '[739, 739, 5*w^3 - 7*w^2 - 7*w + 5]', '[739, 739, -w^3 - 3*w^2 + 6*w + 1]', '[751, 751, 5*w^3 - 3*w^2 - 11*w + 1]', '[751, 751, 5*w^3 - 6*w^2 - 13*w + 3]', '[769, 769, -w^2 + 2*w + 7]', '[769, 769, -4*w^3 + 6*w^2 + 11*w - 4]', '[809, 809, -5*w^3 + 4*w^2 + 13*w - 5]', '[809, 809, 2*w^3 + w^2 - 8*w]', '[811, 811, -w^3 - 4*w^2 + 7*w + 6]', '[811, 811, 3*w^3 - 5*w^2 - 7*w]', '[811, 811, -2*w^3 - w^2 + 9*w]', '[811, 811, -5*w^3 + 5*w^2 + 9*w - 5]', '[821, 821, -w^3 + 3*w^2 + 4*w - 8]', '[821, 821, -3*w^3 + 7*w + 6]', '[821, 821, -3*w^3 + w^2 + 6*w + 5]', '[821, 821, 5*w^3 - 8*w^2 - 9*w + 5]', '[829, 829, -w^3 + w^2 + w - 6]', '[829, 829, 5*w^3 - 6*w^2 - 9*w + 3]', '[839, 839, -4*w^3 + 2*w^2 + 14*w - 3]', '[839, 839, 5*w^3 - 7*w^2 - 7*w + 4]', '[841, 29, -w^2 + 6*w + 1]', '[859, 859, -4*w^3 + 2*w^2 + 13*w - 2]', '[859, 859, 5*w^3 - 6*w^2 - 12*w + 2]', '[881, 881, -2*w^3 + 4*w^2 + w - 9]', '[881, 881, -6*w^3 + 9*w^2 + 12*w - 7]', '[911, 911, 5*w^3 - 6*w^2 - 11*w]', '[911, 911, -w^3 + 4*w^2 + 4*w - 8]', '[929, 929, 5*w^3 - 8*w^2 - 11*w + 7]', '[929, 929, -4*w^3 + 13*w + 3]', '[929, 929, 3*w^3 - 7*w^2 - w + 8]', '[929, 929, -6*w^3 + 5*w^2 + 16*w - 5]', '[941, 941, -4*w^3 + w^2 + 11*w]', '[941, 941, -2*w^3 - w^2 + 10*w - 1]', '[941, 941, -5*w^3 + 5*w^2 + 9*w]', '[941, 941, -5*w^2 + 5*w + 6]', '[961, 31, -5*w^3 + 5*w^2 + 10*w - 3]', '[971, 971, -2*w^3 - 3*w^2 + 8*w + 7]', '[971, 971, 3*w^3 - 8*w^2 - 2*w + 9]']}
57. label: 3.3.1901.1
    {'degree': 3, 'discriminant': 1901, 'ideals': ['[1, 1, 1]', '[2, 2, w + 2]', '[3, 3, w + 1]', '[4, 2, -w^2 + 3*w + 3]', '[4, 4, -w]', '[6, 6, w^2 - 2*w - 6]', '[8, 2, 2]', '[8, 8, w - 4]', '[9, 3, -w^2 + 2*w + 7]', '[9, 9, w^2 - 2*w - 9]', '[12, 6, w^2 - 3*w - 1]', '[12, 12, w^2 - w - 8]', '[13, 13, w + 3]', '[13, 13, -w + 3]', '[13, 13, -w + 1]', '[16, 4, 2*w + 4]', '[16, 4, -w^2 + w + 9]', '[16, 16, w^2 - 2*w - 8]', '[17, 17, -w^2 - 2*w + 1]', '[18, 6, -w^2 + 2*w + 10]', '[18, 18, w - 2]', '[23, 23, w^2 - 2*w - 5]', '[24, 6, 2*w + 2]', '[24, 24, w^2 - 3*w - 4]', '[26, 26, -w^2 + w + 6]', '[26, 26, -w^2 - w + 2]', '[26, 26, -w^2 + 2*w + 2]', '[27, 3, 3]', '[27, 27, -2*w - 5]', '[31, 31, 2*w + 3]', '[31, 31, -2*w^2 + 3*w + 15]', '[31, 31, 3*w + 7]', '[32, 4, -2*w^2 + 6*w + 6]', '[32, 8, -2*w]', '[32, 32, -w^2 + 4*w]', '[34, 34, 2*w^2 - 3*w - 18]', '[36, 6, w^2 + w - 1]', '[36, 12, -w^2 + 2*w + 4]', '[36, 18, w^2 - w - 11]', '[36, 36, w^2 - 4]', '[37, 37, 3*w^2 - 4*w - 27]', '[39, 39, -w^2 + 2*w + 3]', '[39, 39, 2*w - 7]', '[39, 39, -w^2 + 1]', '[41, 41, -2*w^2 + 7*w + 1]', '[46, 46, w^2 - 6]', '[48, 12, -w^2 + w + 5]', '[48, 12, 2*w^2 - 4*w - 12]', '[48, 48, -w - 4]', '[51, 51, w - 5]', '[52, 26, -w^2 + 3*w + 5]', '[52, 26, -3*w^2 + 5*w + 25]', '[52, 26, -w^2 + 3*w + 11]', '[52, 52, w^2 - w]', '[52, 52, -w^2 - 3*w]', '[52, 52, w^2 - 3*w]', '[54, 6, 3*w + 6]', '[54, 54, w^2 - w - 2]', '[59, 59, w^2 - 3]', '[61, 61, 4*w^2 - 12*w - 11]', '[62, 62, w^2 - 5*w - 2]', '[62, 62, -3*w^2 + 3*w + 22]', '[62, 62, -w^2 + 2]', '[64, 4, 4]', '[64, 8, -w^2 - 3*w - 3]', '[64, 16, 2*w - 8]', '[64, 64, w^2 - w - 4]', '[68, 34, -w^2 + w + 3]', '[68, 68, 2*w^2 - 5*w - 8]', '[69, 69, 2*w - 1]', '[71, 71, w^2 - 2*w - 11]', '[72, 6, -2*w^2 + 4*w + 14]', '[72, 18, 2*w^2 - 4*w - 18]', '[72, 24, -w^2 - w + 4]', '[72, 72, -w^2 + 2*w]', '[74, 74, 5*w^2 - 8*w - 42]', '[78, 78, -w^2 - 2*w + 2]', '[78, 78, 2*w^2 - 3*w - 14]', '[78, 78, 2*w^2 - 5*w - 10]', '[81, 9, 2*w^2 - 7*w - 5]', '[81, 9, 3*w + 3]', '[81, 81, -w^2 + 13]', '[82, 82, w^2 - 3*w - 6]', '[92, 46, -3*w^2 + 11*w + 1]', '[92, 92, w^2 - 4*w - 4]', '[93, 93, -w^2 + 7]', '[93, 93, 3*w^2 - 8*w - 11]', '[93, 93, 2*w^2 - 2*w - 19]', '[96, 12, 2*w^2 - 6*w - 2]', '[96, 24, 2*w^2 - 2*w - 16]', '[96, 96, 2*w^2 - 5*w - 4]', '[97, 97, 3*w + 5]', '[101, 101, 2*w^2 - 6*w - 7]', '[102, 102, w^2 - 3*w - 10]', '[103, 103, 2*w^2 - 3*w - 19]', '[104, 26, 2*w + 6]', '[104, 26, -2*w + 6]', '[104, 26, -2*w + 2]', '[104, 104, -w^2 + 5*w - 4]', '[104, 104, 3*w + 4]', '[104, 104, w^2 - w - 12]', '[107, 107, -3*w^2 + 10*w + 3]', '[108, 6, -3*w^2 + 9*w + 9]', '[108, 12, -3*w]', '[108, 54, w^2 - 3*w - 7]', '[108, 108, -3*w^2 + 7*w + 16]', '[109, 109, -w - 5]', '[109, 109, 5*w^2 - 8*w - 41]', '[109, 109, 2*w^2 - 2*w - 21]', '[111, 111, 2*w^2 - 4*w - 15]', '[113, 113, -4*w - 3]', '[117, 39, -2*w^2 + 4*w + 17]', '[117, 39, -w^2 - 4*w - 5]', '[117, 39, -2*w^2 + 4*w + 11]', '[117, 117, 2*w^2 - 5*w - 7]', '[117, 117, 2*w^2 - 2*w - 13]', '[117, 117, -4*w - 1]', '[118, 118, 3*w^2 + 6*w - 2]', '[122, 122, w - 6]', '[123, 123, 3*w^2 - 10*w - 7]', '[124, 62, w^2 - 3*w + 1]', '[124, 62, -w^2 - 5*w - 5]', '[124, 62, -w^2 + 3*w + 9]', '[124, 124, 4*w^2 - 5*w - 32]', '[124, 124, -w^2 + 3*w + 8]', '[124, 124, 3*w^2 - 6*w - 20]', '[125, 5, -5]', '[127, 127, 2*w^2 - 2*w - 17]', '[128, 8, 4*w + 8]', '[128, 8, -2*w^2 + 2*w + 18]', '[128, 32, 2*w^2 - 4*w - 16]', '[128, 128, -3*w^2 + 9*w + 4]', '[131, 131, 2*w - 3]', '[136, 34, -2*w^2 - 4*w + 2]', '[136, 136, w^2 - 8]', '[137, 137, 2*w^2 - 5*w - 5]', '[137, 137, w^2 - 4*w - 13]', '[137, 137, 2*w - 5]', '[138, 138, -w^2 - w + 18]', '[139, 139, 2*w^2 - 3*w - 13]', '[142, 142, w^2 - 6*w - 18]', '[144, 12, -2*w^2 + 4*w + 20]', '[144, 12, -w^2 + 5*w + 1]', '[144, 36, -w^2 - 3*w + 1]', '[144, 36, 2*w - 4]', '[144, 48, -w^2 + 5*w + 4]', '[144, 144, -w^2 - 5*w - 4]', '[148, 74, -w^2 - w + 5]', '[148, 148, w^2 - 12]', '[151, 151, 2*w^2 - 9]', '[153, 51, -2*w^2 + w + 11]', '[153, 153, w^2 - 4*w - 5]', '[156, 78, -w^2 + 3*w + 13]', '[156, 78, w^2 - w + 1]', '[156, 78, 3*w^2 - 11*w - 5]', '[156, 156, -2*w^2 + 7*w]', '[156, 156, w^2 - 2*w - 12]', '[156, 156, 3*w^2 - 4*w - 28]', '[162, 18, -w^2 - w - 2]', '[162, 18, 3*w^2 - 6*w - 18]', '[162, 162, -3*w^2 + 4*w + 22]', '[163, 163, 2*w^2 - 5*w - 11]', '[164, 82, 3*w^2 - 5*w - 21]', '[164, 164, -3*w - 8]', '[169, 13, w^2 - 4*w + 3]', '[169, 13, -w^2 + 9]', '[169, 13, -w^2 - 2*w + 3]', '[169, 169, 2*w^2 + 3*w - 1]', '[169, 169, w^2 - 2*w + 1]', '[169, 169, 2*w^2 - 8*w - 3]', '[173, 173, -2*w^2 + 8*w - 1]', '[177, 177, 2*w^2 + 6*w + 1]', '[179, 179, w^2 - 15]', '[181, 181, -w^2 + 11]', '[183, 183, -4*w^2 + 13*w + 5]', '[184, 46, 2*w^2 - 4*w - 10]', '[184, 184, -5*w^2 + 12*w + 24]', '[186, 186, -3*w^2 - 2*w + 10]', '[186, 186, w^2 - 10]', '[186, 186, 4*w^2 - 5*w - 30]', '[191, 191, 3*w - 1]', '[192, 12, 4*w + 4]', '[192, 24, w^2 - 5*w + 3]', '[192, 48, 2*w^2 - 6*w - 8]', '[192, 192, w^2 + 4*w]', '[193, 193, -6*w^2 + 16*w + 23]', '[194, 194, 5*w^2 - 8*w - 38]', '[197, 197, 2*w^2 - 8*w + 3]', '[199, 199, 4*w^2 - 5*w - 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18]', '[9888, 2472, 6*w^2 + 4*w - 8]', '[9888, 9888, -7*w^2 + 15*w + 28]', '[9892, 4946, -3*w^2 + 11*w - 11]', '[9892, 4946, 9*w^2 + 25*w + 17]', '[9892, 4946, 41*w^2 - 135*w - 67]', '[9892, 9892, 7*w^2 + 8*w - 4]', '[9892, 9892, -10*w^2 + 39*w + 24]', '[9892, 9892, -w^2 - w - 16]', '[9893, 9893, -10*w^2 + 31*w + 31]', '[9893, 9893, -6*w^2 + 9*w + 29]', '[9893, 9893, -18*w^2 + 51*w + 61]', '[9894, 9894, -w^2 - 18*w - 38]', '[9896, 2474, 10*w^2 + 8*w - 34]', '[9896, 9896, -11*w^2 + 12*w + 88]', '[9901, 9901, 22*w^2 - 63*w - 71]', '[9901, 9901, 8*w^2 + w - 41]', '[9901, 9901, -6*w^2 - 3*w + 7]', '[9903, 9903, 15*w^2 - 44*w - 47]', '[9904, 2476, 2*w^2 - 8*w - 36]', '[9904, 2476, 9*w^2 + 31*w + 27]', '[9904, 9904, -7*w^2 + 7*w + 76]', '[9906, 9906, 3*w^2 - 14*w - 50]', '[9906, 9906, -26*w^2 + 41*w + 214]', '[9906, 9906, -18*w^2 + 31*w + 130]', '[9907, 9907, 12*w^2 - 33*w - 47]', '[9907, 9907, -8*w^2 + 31*w + 1]', '[9907, 9907, 3*w^2 - 20*w - 15]', '[9914, 9914, -4*w^2 - 11*w - 14]', '[9921, 9921, -10*w^2 + 32*w + 9]', '[9921, 9921, -10*w^2 + 27*w + 43]', '[9921, 9921, -6*w^2 - 4*w + 11]', '[9923, 9923, 9*w^2 - 20*w - 43]', '[9924, 4962, -w^2 - 15*w - 17]', '[9924, 9924, -6*w^2 + 17*w + 32]', '[9929, 9929, -10*w^2 + 25*w + 39]', '[9931, 9931, 27*w^2 - 86*w - 57]', '[9932, 4966, 9*w^2 - 11*w - 61]', '[9932, 4966, 7*w^2 - 15*w - 17]', '[9932, 4966, 7*w^2 + 3*w - 23]', '[9932, 9932, -w^2 + 28*w + 12]', '[9932, 9932, -11*w^2 - 24*w - 12]', '[9932, 9932, -7*w^2 + 30*w + 12]', '[9934, 9934, 7*w^2 + 8*w - 10]', '[9934, 9934, 4*w^2 + 11*w - 6]', '[9934, 9934, w^2 + 6*w - 26]', '[9936, 276, 15*w^2 - 27*w - 111]', '[9936, 276, 6*w^2 - 36]', '[9936, 1104, -9*w^2 + 9*w + 84]', '[9936, 2484, 4*w^2 - 10*w + 4]', '[9936, 2484, -21*w^2 + 61*w + 61]', '[9936, 9936, -11*w^2 + 40*w]', '[9938, 9938, -11*w^2 - 30*w - 18]', '[9942, 9942, w^2 - 9*w + 26]', '[9943, 9943, 6*w^2 - 4*w - 9]', '[9946, 9946, -w^2 + 13*w - 2]', '[9949, 9949, w^2 + 8*w - 39]', '[9949, 9949, 8*w^2 - 17*w - 15]', '[9949, 9949, 4*w^2 - 18*w - 57]', '[9951, 9951, -4*w^2 + 19*w - 7]', '[9951, 9951, -2*w^2 - 17*w - 15]', '[9951, 9951, 12*w^2 - 22*w - 91]', '[9953, 9953, 18*w^2 - 31*w - 137]', '[9958, 9958, 8*w^2 - 3*w - 42]', '[9958, 9958, 4*w^2 - 13*w - 30]', '[9958, 9958, 10*w^2 - 21*w - 66]', '[9959, 9959, 9*w^2 + 4*w - 33]', '[9959, 9959, -3*w^2 + 4*w - 7]', '[9959, 9959, 6*w^2 - 11*w - 19]', '[9962, 9962, -9*w^2 + w + 50]', '[9962, 9962, 9*w^2 - 18*w - 50]', '[9962, 9962, w - 22]', '[9963, 369, -3*w^2 - 12*w + 3]', '[9963, 1107, -12*w^2 + 24*w + 81]', '[9963, 9963, 12*w^2 - 22*w - 103]', '[9967, 9967, 7*w^2 - 24*w - 23]', '[9967, 9967, 8*w^2 - 12*w - 51]', '[9967, 9967, 4*w^2 + 3*w - 23]', '[9969, 9969, 7*w^2 - 14*w - 15]', '[9971, 767, 2*w^2 - 13*w - 31]', '[9971, 767, -6*w^2 - 25*w - 21]', '[9971, 767, 6*w^2 - 11*w - 21]', '[9971, 9971, 3*w^2 - 22*w - 15]', '[9971, 9971, 6*w^2 + w - 7]', '[9971, 9971, 16*w^2 + 44*w + 23]', '[9972, 1662, -7*w^2 - w + 37]', '[9972, 3324, 10*w^2 - 11*w - 88]', '[9972, 4986, -3*w^2 + 5*w - 7]', '[9972, 9972, -16*w^2 + 17*w + 120]', '[9974, 9974, 21*w^2 - 63*w - 58]', '[9979, 9979, -5*w^2 - 38*w - 59]', '[9981, 3327, 10*w^2 - 11*w - 85]', '[9981, 9981, -16*w^2 + 15*w + 115]', '[9984, 312, -4*w^2 + 12*w + 52]', '[9984, 312, 4*w^2 - 4*w + 4]', '[9984, 312, 12*w^2 - 44*w - 20]', '[9984, 624, -8*w^2 + 28*w]', '[9984, 624, -5*w^2 + 25*w + 9]', '[9984, 624, -15*w^2 + 43*w + 43]', '[9984, 624, 4*w^2 - 8*w - 48]', '[9984, 624, 12*w^2 - 16*w - 112]', '[9984, 624, -9*w^2 + 13*w + 61]', '[9984, 2496, 8*w^2 - 2*w - 40]', '[9984, 2496, -10*w^2 + 10*w + 104]', '[9984, 2496, 6*w^2 - 2*w - 8]', '[9984, 9984, -10*w^2 + 27*w + 28]', '[9984, 9984, -13*w^2 + 20*w + 96]', '[9984, 9984, -7*w^2 + 6*w + 40]', '[9991, 9991, 18*w^2 - 54*w - 43]', '[9992, 2498, 20*w^2 - 74*w - 2]', '[9992, 9992, -8*w^2 + 25*w + 28]', '[9993, 9993, -10*w^2 + 35*w + 3]'], 'label': '3.3.1901.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w + 2]', '[3, 3, w + 1]', '[4, 2, -w^2 + 3*w + 3]', '[9, 3, -w^2 + 2*w + 7]', '[13, 13, w + 3]', '[13, 13, -w + 3]', '[13, 13, -w + 1]', '[17, 17, -w^2 - 2*w + 1]', '[23, 23, w^2 - 2*w - 5]', '[31, 31, 2*w + 3]', '[31, 31, -2*w^2 + 3*w + 15]', '[31, 31, 3*w + 7]', '[37, 37, 3*w^2 - 4*w - 27]', '[41, 41, -2*w^2 + 7*w + 1]', '[59, 59, w^2 - 3]', '[61, 61, 4*w^2 - 12*w - 11]', '[71, 71, w^2 - 2*w - 11]', '[97, 97, 3*w + 5]', '[101, 101, 2*w^2 - 6*w - 7]', '[103, 103, 2*w^2 - 3*w - 19]', '[107, 107, -3*w^2 + 10*w + 3]', '[109, 109, -w - 5]', '[109, 109, 5*w^2 - 8*w - 41]', '[109, 109, 2*w^2 - 2*w - 21]', '[113, 113, -4*w - 3]', '[125, 5, -5]', '[127, 127, 2*w^2 - 2*w - 17]', '[131, 131, 2*w - 3]', '[137, 137, 2*w^2 - 5*w - 5]', '[137, 137, w^2 - 4*w - 13]', '[137, 137, 2*w - 5]', '[139, 139, 2*w^2 - 3*w - 13]', '[151, 151, 2*w^2 - 9]', '[163, 163, 2*w^2 - 5*w - 11]', '[173, 173, -2*w^2 + 8*w - 1]', '[179, 179, w^2 - 15]', '[181, 181, -w^2 + 11]', '[191, 191, 3*w - 1]', '[193, 193, -6*w^2 + 16*w + 23]', '[197, 197, 2*w^2 - 8*w + 3]', '[199, 199, 4*w^2 - 5*w - 35]', '[211, 211, 2*w - 9]', '[223, 223, 3*w^2 - 8*w - 13]', '[227, 227, 3*w^2 + 2*w - 11]', '[227, 227, w^2 - 4*w - 15]', '[227, 227, w - 7]', '[229, 229, -4*w^2 + 15*w - 1]', '[239, 239, -4*w - 5]', '[257, 257, 2*w^2 + w - 9]', '[263, 263, -w^2 - 6*w - 7]', '[269, 269, w^2 - 4*w - 7]', '[277, 277, 4*w^2 - 7*w - 33]', '[281, 281, 6*w^2 - 17*w - 19]', '[281, 281, 3*w^2 - 8*w - 9]', '[281, 281, -5*w - 1]', '[289, 17, -2*w^2 + 9*w - 5]', '[293, 293, -3*w^2 + 8*w + 7]', '[293, 293, 2*w^2 + 5*w - 1]', '[293, 293, 6*w^2 - 10*w - 47]', '[307, 307, 2*w^2 - 2*w - 3]', '[313, 313, 2*w^2 - 4*w - 7]', '[317, 317, 3*w^2 - 6*w - 17]', '[317, 317, 2*w^2 - 7*w - 7]', '[317, 317, 2*w^2 + 2*w - 7]', '[331, 331, 2*w^2 + 7*w + 7]', '[337, 337, w^2 - 4*w - 9]', '[337, 337, 3*w^2 - 4*w - 29]', '[337, 337, w^2 - 6*w - 5]', '[343, 7, -7]', '[347, 347, 2*w^2 + 4*w - 3]', '[349, 349, 2*w^2 - w - 25]', '[359, 359, -2*w^2 - w + 5]', '[379, 379, 4*w^2 - 9*w - 23]', '[379, 379, -5*w^2 + 18*w + 3]', '[379, 379, 2*w^2 - 3*w - 21]', '[383, 383, -w^2 + 6*w - 7]', '[397, 397, 2*w^2 - 7]', '[401, 401, 9*w^2 - 28*w - 21]', '[419, 419, 3*w^2 - 6*w - 25]', '[419, 419, 4*w^2 - 7*w - 27]', '[419, 419, 4*w^2 - 6*w - 29]', '[433, 433, 8*w^2 - 13*w - 61]', '[433, 433, -6*w^2 + 23*w - 3]', '[433, 433, -w^2 - 3]', '[443, 443, -2*w^2 + 5*w + 15]', '[449, 449, -7*w^2 + 12*w + 51]', '[457, 457, 2*w^2 - 2*w - 9]', '[457, 457, -w^2 - 6*w - 1]', '[457, 457, 6*w^2 - 11*w - 43]', '[461, 461, -5*w^2 + 6*w + 45]', '[463, 463, 2*w^2 - 5*w - 17]', '[463, 463, 3*w - 5]', '[463, 463, 2*w^2 - 3*w - 7]', '[467, 467, -3*w^2 + 10*w + 9]', '[479, 479, 3*w - 7]', '[487, 487, 7*w^2 - 20*w - 23]', '[487, 487, -4*w - 11]', '[487, 487, 5*w + 7]', '[509, 509, 2*w^2 - 2*w - 5]', '[523, 523, -8*w^2 + 28*w + 7]', '[529, 23, 2*w^2 - w - 7]', '[541, 541, 3*w^2 + 2*w - 9]', '[547, 547, -6*w - 1]', '[557, 557, 2*w^2 - 13]', '[563, 563, w - 9]', '[569, 569, -8*w^2 + 27*w + 9]', '[571, 571, 5*w^2 - 14*w - 15]', '[577, 577, w^2 + 4*w + 7]', '[587, 587, 4*w^2 - 4*w - 27]', '[593, 593, 2*w^2 + 5*w + 5]', '[599, 599, -2*w - 9]', '[599, 599, -w^2 + 6*w - 1]', '[599, 599, 2*w^2 - w - 19]', '[607, 607, 4*w - 13]', '[617, 617, -5*w - 13]', '[617, 617, -w^2 - 2*w - 5]', '[617, 617, 4*w^2 - 16*w + 5]', '[619, 619, 3*w^2 - 8*w - 15]', '[643, 643, -6*w - 11]', '[647, 647, -w^2 + 17]', '[647, 647, 2*w^2 - 9*w - 7]', '[647, 647, 2*w^2 - 6*w - 21]', '[659, 659, 4*w^2 - 8*w - 23]', '[661, 661, 2*w - 11]', '[673, 673, 3*w^2 - 13]', '[677, 677, 5*w^2 - 16*w - 13]', '[677, 677, -3*w^2 - 4*w + 3]', '[677, 677, 5*w^2 - 6*w - 43]', '[691, 691, 6*w^2 - 12*w - 37]', '[701, 701, -3*w^2 + 12*w - 1]', '[709, 709, -6*w^2 + 21*w + 7]', '[719, 719, -w^2 + 6*w - 3]', '[733, 733, -w - 9]', '[733, 733, 2*w^2 + w - 11]', '[733, 733, -2*w^2 + 9*w - 3]', '[739, 739, 6*w^2 - 17*w - 21]', '[743, 743, -2*w^2 - 6*w + 1]', '[751, 751, 4*w^2 - 8*w - 29]', '[751, 751, -w^2 - 8*w - 11]', '[751, 751, 4*w^2 - 21]', '[757, 757, 2*w^2 - 9*w - 1]', '[761, 761, -4*w^2 + 10*w + 15]', '[809, 809, w^2 + 2*w - 19]', '[811, 811, -7*w - 17]', '[823, 823, 3*w^2 - 17]', '[827, 827, -9*w - 19]', '[857, 857, 4*w^2 + 14*w + 9]', '[857, 857, 4*w^2 - 16*w + 3]', '[857, 857, 4*w^2 - 6*w - 27]', '[859, 859, -2*w^2 + 5*w - 1]', '[863, 863, 12*w^2 - 37*w - 29]', '[877, 877, 3*w^2 - 6*w - 7]', '[877, 877, 3*w^2 - 6*w - 31]', '[877, 877, 3*w^2 - 6*w - 13]', '[907, 907, 8*w^2 - 14*w - 57]', '[907, 907, 4*w^2 - 7*w - 25]', '[907, 907, 8*w^2 - 24*w - 19]', '[911, 911, -3*w - 11]', '[919, 919, -16*w^2 + 53*w + 23]', '[929, 929, 2*w^2 - 6*w - 19]', '[937, 937, w^2 - 6*w - 15]', '[937, 937, 3*w^2 - 4*w - 17]', '[937, 937, -3*w^2 + 12*w + 1]', '[941, 941, -2*w^2 + 6*w + 15]', '[947, 947, -2*w^2 - 3*w + 7]', '[953, 953, 2*w^2 - 25]', '[971, 971, 3*w^2 - 10*w - 11]', '[971, 971, 3*w^2 - 12*w + 5]', '[971, 971, -4*w^2 + 10*w + 9]', '[977, 977, 2*w^2 - 8*w - 9]', '[983, 983, -5*w^2 + 8*w + 35]', '[991, 991, 4*w^2 + 5*w - 7]']}
58. label: 3.3.1929.1
    {'degree': 3, 'discriminant': 1929, 'ideals': ['[1, 1, 1]', '[3, 3, w - 2]', '[3, 3, w - 1]', '[7, 7, w^2 + w - 7]', '[7, 7, -w^2 + 11]', '[7, 7, -w^2 + 9]', '[8, 2, 2]', '[9, 3, w^2 + w - 8]', '[9, 3, -w^2 + 10]', '[9, 9, 2*w^2 + w - 19]', '[13, 13, -w]', '[19, 19, -w^2 - w + 4]', '[21, 21, w + 1]', '[21, 21, w + 2]', '[21, 21, w^2 + 2*w - 6]', '[21, 21, w^2 + w - 6]', '[21, 21, w^2 + w - 9]', '[21, 21, -w + 4]', '[23, 23, w^2 + w - 10]', '[24, 6, 2*w - 4]', '[24, 6, 2*w - 2]', '[27, 3, 3]', '[27, 9, w^2 - 7]', '[27, 9, w^2 + w - 5]', '[27, 27, w + 4]', '[29, 29, 2*w^2 - 21]', '[37, 37, 2*w^2 + w - 17]', '[39, 39, -w^2 + 2*w]', '[39, 39, -w^2 + w]', '[43, 43, 3*w^2 + 3*w - 22]', '[47, 47, w^2 - 6]', '[47, 47, w^2 - 3]', '[47, 47, -w^2 + 12]', '[49, 7, w^2 + 3*w - 5]', '[49, 7, w^2 - 3*w + 3]', '[49, 7, w^2 - 2*w - 1]', '[49, 49, w^2 + 2*w - 7]', '[49, 49, 3*w - 5]', '[49, 49, -3*w^2 - w + 30]', '[53, 53, w^2 - w - 4]', '[56, 14, 2*w^2 + 2*w - 14]', '[56, 14, -2*w^2 + 22]', '[56, 14, -2*w^2 + 18]', '[57, 57, -3*w^2 - 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3]', '[953, 953, 3*w^2 + 2*w - 18]', '[971, 971, 3*w^2 - 4]', '[977, 977, -8*w + 9]', '[977, 977, -w^2 + 4*w + 25]', '[977, 977, 3*w^2 - 3*w - 19]', '[983, 983, 6*w - 5]', '[991, 991, 6*w^2 + w - 63]', '[997, 997, w^2 + 5*w - 19]']}
59. label: 3.3.1937.1
    {'degree': 3, 'discriminant': 1937, 'ideals': ['[1, 1, 1]', '[3, 3, -w - 2]', '[5, 5, w + 1]', '[7, 7, w - 3]', '[8, 2, 2]', '[9, 3, w^2 - 3*w - 2]', '[9, 9, w - 1]', '[13, 13, w + 3]', '[13, 13, -w + 2]', '[15, 15, -w + 4]', '[19, 19, -w^2 + 2*w + 4]', '[21, 21, -w^2 + w + 6]', '[23, 23, w^2 - 4*w + 1]', '[24, 6, -2*w - 4]', '[25, 5, w^2 - 2*w - 1]', '[25, 25, -w^2 + 6]', '[27, 3, 3]', '[27, 27, -w^2 - w + 2]', '[31, 31, w^2 - 2*w - 9]', '[35, 35, w^2 - 2*w - 3]', '[37, 37, -w^2 + 3*w + 3]', '[39, 39, w^2 - 4]', '[39, 39, -w^2 + 2*w + 2]', '[40, 10, 2*w + 2]', '[41, 41, w^2 - w - 1]', '[41, 41, w^2 - w - 5]', '[41, 41, w^2 - w - 10]', '[43, 43, -2*w - 3]', '[45, 15, -w^2 + 3*w - 1]', '[45, 45, w^2 - 2*w - 8]', '[47, 47, -w^2 - w + 4]', '[49, 7, -w^2 + 5*w - 5]', '[49, 49, -w - 4]', '[56, 14, 2*w - 6]', '[57, 57, w^2 - 7]', '[59, 59, w^2 - w - 4]', '[59, 59, w^2 - 3]', '[59, 59, w - 5]', '[63, 21, w^2 - 2]', '[63, 63, w^2 - 4*w + 3]', '[64, 4, 4]', '[65, 65, -w^2 + w + 2]', '[65, 65, 2*w^2 - 5*w - 7]', '[67, 67, 2*w^2 - 4*w - 9]', '[69, 69, w^2 - w - 3]', '[72, 6, 2*w^2 - 6*w - 4]', '[72, 18, 2*w - 2]', '[73, 73, 2*w^2 - 3*w - 12]', '[75, 15, -w^2 - 3*w + 1]', '[75, 75, -w^2 + 3*w + 4]', '[79, 79, -3*w^2 + 9*w + 5]', '[81, 9, w^2 - 8]', '[81, 9, -3*w - 6]', '[81, 81, -w^2 + 10]', '[91, 91, w^2 + 3*w + 3]', '[91, 91, w^2 - 9]', '[93, 93, -w^2 + 5*w + 17]', '[95, 95, -2*w + 3]', '[97, 97, 2*w^2 - w - 14]', '[97, 97, 2*w^2 - 2*w - 13]', '[97, 97, -2*w^2 + 5*w + 5]', '[101, 101, w^2 - w - 11]', '[104, 26, 2*w + 6]', '[104, 26, -2*w + 4]', '[105, 105, -w^2 - w + 5]', '[111, 111, -w - 5]', '[115, 115, -2*w^2 + 5*w + 2]', '[117, 39, w^2 - 3*w - 5]', '[117, 39, -w^2 + 3*w + 11]', '[117, 117, -w^2 + 3*w - 2]', '[117, 117, w^2 + 2*w - 3]', '[120, 30, -2*w + 8]', '[123, 123, -2*w^2 - w + 9]', '[123, 123, -2*w^2 + 4*w + 19]', '[123, 123, -2*w^2 - 5*w + 1]', '[125, 5, 5]', '[125, 125, -2*w^2 - 2*w + 5]', '[129, 129, 2*w^2 + 7*w + 6]', '[131, 131, w - 6]', '[133, 133, 3*w + 5]', '[135, 15, 3*w + 3]', '[135, 135, -w^2 + 5*w - 4]', '[139, 139, -2*w^2 + 5*w + 4]', '[141, 141, -w^2 + 4*w + 3]', '[147, 21, -2*w^2 + 3*w + 11]', '[147, 147, 2*w^2 - 5*w - 3]', '[149, 149, -3*w + 11]', '[149, 149, -3*w - 4]', '[152, 38, -2*w^2 + 4*w + 8]', '[155, 155, -3*w - 8]', '[157, 157, w^2 - 3*w - 6]', '[161, 161, w^2 + w + 2]', '[168, 42, -2*w^2 + 2*w + 12]', '[169, 13, w^2 - 4*w + 4]', '[169, 13, -w^2 - w + 6]', '[169, 169, -w^2 + 5*w - 2]', '[171, 57, -w^2 - 3*w + 2]', '[171, 171, 2*w^2 - 6*w - 5]', '[173, 173, w^2 - 5*w + 3]', '[173, 173, -2*w^2 + 5*w + 8]', '[173, 173, 3*w^2 - 5*w - 17]', '[175, 35, -4*w^2 + 13*w + 4]', '[175, 175, 3*w - 2]', '[177, 177, -2*w^2 - 2*w + 7]', '[177, 177, -3*w^2 - 5*w + 5]', '[177, 177, -w^2 + 3*w + 10]', '[179, 179, 2*w^2 - w - 11]', '[179, 179, -3*w^2 + 7*w + 12]', '[179, 179, w^2 - 2*w - 12]', '[181, 181, w^2 + w - 16]', '[184, 46, 2*w^2 - 8*w + 2]', '[185, 185, w^2 - 2*w + 2]', '[189, 21, 3*w - 9]', '[189, 189, w^2 - 3*w - 7]', '[192, 12, -4*w - 8]', '[195, 195, 2*w^2 + 4*w - 3]', '[195, 195, -w^2 + w + 12]', '[199, 199, 2*w^2 - 9]', '[200, 10, 2*w^2 - 4*w - 2]', '[200, 50, -2*w^2 + 12]', '[201, 201, -2*w^2 + w + 16]', '[205, 205, w^2 + 6*w]', '[205, 205, w^2 - 3*w - 9]', '[205, 205, w^2 + 2*w - 4]', '[207, 69, -w^2 + 3*w + 8]', '[207, 207, -2*w^2 - 3*w + 5]', '[211, 211, -w^2 + w - 2]', '[215, 215, -2*w^2 - 5*w - 3]', '[216, 6, 6]', '[216, 54, -2*w^2 - 2*w + 4]', '[217, 217, -4*w^2 + 5*w + 28]', '[219, 219, -3*w^2 + 2*w + 22]', '[225, 15, 7*w^2 - 24*w - 2]', '[225, 45, -2*w^2 + 9*w + 2]', '[225, 75, 2*w^2 - 3*w - 10]', '[225, 225, -2*w - 7]', '[229, 229, -w^2 + 3*w - 3]', '[233, 233, w^2 + w - 7]', '[235, 235, 3*w^2 - 7*w - 10]', '[237, 237, w - 7]', '[243, 9, 3*w^2 - 9*w - 6]', '[243, 27, 3*w - 3]', '[243, 243, 3*w^2 - 2*w - 19]', '[245, 35, 3*w^2 - 8*w - 6]', '[245, 245, -w^2 - 5*w - 4]', '[247, 247, -3*w^2 + 8*w + 9]', '[247, 247, -2*w^2 + 2*w + 11]', '[248, 62, 2*w^2 - 4*w - 18]', '[257, 257, 3*w^2 - 3*w - 20]', '[259, 259, -2*w^2 - 2*w + 3]', '[271, 271, w^2 - 4*w - 13]', '[271, 271, 3*w^2 - 4*w - 19]', '[271, 271, 2*w - 9]', '[273, 273, -2*w^2 + 4*w + 13]', '[273, 273, -3*w^2 + w + 17]', '[277, 277, 3*w^2 - 5*w - 20]', '[279, 93, -w^2 + 14]', '[279, 279, -2*w^2 + w + 10]', '[280, 70, 2*w^2 - 4*w - 6]', '[281, 281, -w^2 - w + 13]', '[283, 283, -3*w + 8]', '[285, 285, 2*w^2 + w - 6]', '[287, 287, -3*w^2 + 10*w + 4]', '[287, 287, -3*w^2 + w + 31]', '[287, 287, -3*w^2 + 6*w + 16]', '[291, 291, -5*w^2 + 26]', '[291, 291, w^2 + w - 8]', '[291, 291, -4*w^2 + w + 24]', '[293, 293, -4*w - 7]', '[295, 295, 2*w^2 + 5*w - 2]', '[295, 295, w^2 - 4*w - 5]', '[295, 295, w^2 + 3*w - 3]', '[296, 74, -2*w^2 + 6*w + 6]', '[299, 299, 2*w^2 + w - 10]', '[299, 299, -3*w + 4]', '[301, 301, -2*w^2 + 3*w + 9]', '[303, 303, -2*w^2 + 5*w + 21]', '[307, 307, w^2 + 2*w - 5]', '[311, 311, 2*w^2 - 4*w - 5]', '[312, 78, 2*w^2 - 8]', '[312, 78, -2*w^2 + 4*w + 4]', '[313, 313, -w^2 - w - 3]', '[315, 105, w^2 - 3*w - 14]', '[315, 315, -2*w^2 + 7*w + 4]', '[317, 317, -3*w^2 + 8*w + 5]', '[320, 20, 4*w + 4]', '[325, 65, 2*w^2 + w - 2]', '[325, 65, 3*w^2 - 11*w - 3]', '[325, 325, -w^2 + 4*w - 5]', '[325, 325, -w^2 + 2*w + 13]', '[328, 82, 2*w^2 - 2*w - 2]', '[328, 82, 2*w^2 - 2*w - 10]', '[328, 82, 2*w^2 - 2*w - 20]', '[329, 329, w^2 - w - 13]', '[331, 331, -w^2 + 2*w - 3]', '[333, 111, -2*w^2 + 13]', '[333, 333, w^2 + 7*w + 10]', '[335, 335, 3*w - 7]', '[337, 337, -w - 7]', '[337, 337, w^2 + w - 9]', '[337, 337, 3*w - 5]', '[343, 7, 7]', '[343, 343, -w^2 - w + 12]', '[344, 86, -4*w - 6]', '[345, 345, w^2 + 4*w - 2]', '[351, 39, 3*w + 9]', '[351, 39, -3*w + 6]', '[351, 351, 4*w + 5]', '[351, 351, 3*w^2 - 5*w - 16]', '[359, 359, 2*w^2 - 4*w - 15]', '[360, 30, -2*w^2 + 6*w - 2]', '[360, 90, 2*w^2 - 4*w - 16]', '[361, 19, 2*w^2 + w - 5]', '[361, 361, -w^2 - 4*w - 6]', '[365, 365, w^2 + w - 10]', '[367, 367, -w^2 - 3]', '[367, 367, 3*w^2 - 11*w + 4]', '[367, 367, -2*w^2 + 9*w - 6]', '[369, 123, 5*w^2 - 18*w - 1]', '[369, 123, w^2 - 6*w + 7]', '[369, 123, -4*w^2 + 9*w + 17]', '[369, 369, -w^2 - w + 11]', '[369, 369, -w^2 + 8*w + 2]', '[369, 369, -w^2 + 4*w + 6]', '[373, 373, 2*w^2 - w - 9]', '[375, 15, 5*w^2 - 15*w - 5]', '[375, 375, w^2 - w + 3]', '[376, 94, -2*w^2 - 2*w + 8]', '[379, 379, 3*w^2 - 5*w - 21]', '[383, 383, w - 8]', '[387, 129, w^2 - 3*w + 4]', '[387, 387, -2*w^2 - w + 3]', '[389, 389, -4*w^2 + 9*w + 15]', '[392, 14, -2*w^2 + 10*w - 10]', '[392, 98, -2*w - 8]', '[393, 393, -w^2 + 4*w + 12]', '[395, 395, 3*w^2 - 10*w + 2]', '[397, 397, 2*w^2 + w - 4]', '[397, 397, -4*w^2 + 13*w + 5]', '[397, 397, -w^2 - 2*w - 4]', '[399, 399, w^2 - 6*w + 2]', '[401, 401, w^2 - 5*w - 4]', '[403, 403, 3*w^2 - 3*w - 19]', '[403, 403, 2*w^2 - 7*w - 26]', '[405, 45, 2*w^2 - 7]', '[405, 45, -3*w + 12]', '[405, 405, -2*w^2 + 2*w + 9]', '[413, 413, -3*w^2 + 7*w + 13]', '[413, 413, w^2 - 8*w + 15]', '[413, 413, -2*w^2 + 5*w + 10]', '[417, 417, w^2 + 2*w - 6]', '[421, 421, 3*w^2 - 4*w - 18]', '[423, 141, 2*w^2 - 3*w - 7]', '[423, 423, -w^2 - 3*w - 5]', '[431, 431, w^2 - 4*w - 16]', '[433, 433, w^2 - 4*w - 7]', '[437, 437, -w^2 - 6*w - 3]', '[439, 439, w^2 + 2*w - 17]', '[441, 21, 4*w^2 - 6*w - 29]', '[441, 63, 3*w^2 - w - 20]', '[441, 147, -2*w^2 + 6*w + 7]', '[441, 441, -w^2 - 3*w + 4]', '[447, 447, 3*w^2 + 10*w + 8]', '[447, 447, 3*w^2 - 5*w - 22]', '[448, 28, 4*w - 12]', '[455, 455, 3*w^2 - 9*w - 7]', '[455, 455, 2*w^2 - w - 8]', '[456, 114, 2*w^2 - 14]', '[457, 457, 2*w^2 - 3]', '[457, 457, 4*w - 3]', '[457, 457, 2*w^2 - 3*w - 6]', '[463, 463, 3*w^2 - 12*w + 7]', '[465, 465, 5*w^2 - 7*w - 37]', '[469, 469, -8*w^2 + 19*w + 29]', '[471, 471, 4*w + 11]', '[472, 118, 2*w^2 - 2*w - 8]', '[472, 118, 2*w^2 - 6]', '[472, 118, 2*w - 10]', '[475, 95, -4*w^2 + 13*w - 1]', '[475, 475, -3*w^2 + 5*w + 23]', '[479, 479, w^2 - 6*w + 6]', '[479, 479, -w^2 + 15]', '[479, 479, -6*w^2 + 19*w + 1]', '[481, 481, -w^2 + 4*w + 8]', '[481, 481, w^2 - 6*w - 18]', '[483, 483, -3*w^2 + 8*w + 10]', '[485, 485, w^2 - 6*w + 3]', '[485, 485, 3*w^2 + w - 12]', '[485, 485, 2*w^2 + w - 11]', '[487, 487, 2*w^2 - 7*w - 5]', '[487, 487, w^2 + 5*w + 8]', '[487, 487, 3*w^2 - 6*w - 17]', '[491, 491, -4*w + 15]', '[503, 503, 8*w^2 - 25*w - 5]', '[504, 42, 2*w^2 - 4]', '[504, 126, 2*w^2 - 8*w + 6]', '[505, 505, w^2 - 4*w - 10]', '[507, 39, -3*w^2 + 10*w + 5]', '[507, 39, w^2 - 4*w - 9]', '[507, 507, -2*w^2 + 5]', '[509, 509, 3*w^2 - 12*w + 4]', '[509, 509, -3*w^2 - 5*w + 6]', '[509, 509, w^2 - w - 14]', '[511, 511, -7*w^2 + 13*w + 38]', '[512, 8, 8]', '[513, 57, -3*w^2 + 6*w + 12]', '[513, 513, w + 8]', '[519, 519, -w^2 - w - 4]', '[519, 519, w^2 - 2*w - 14]', '[519, 519, 2*w^2 - w - 7]', '[520, 130, -2*w^2 + 2*w + 4]', '[520, 130, 4*w^2 - 10*w - 14]', '[521, 521, -4*w^2 + 10*w + 11]', '[523, 523, 2*w^2 - 7*w + 4]', '[523, 523, 2*w^2 - 2*w - 7]', '[523, 523, -7*w^2 + 22*w + 8]', '[525, 105, -w^2 + 2*w - 4]', '[525, 525, -3*w^2 - 4*w + 4]', '[529, 23, 4*w^2 - 14*w + 3]', '[529, 529, w^2 + 2*w - 7]', '[531, 177, 2*w^2 - 9*w + 5]', '[531, 177, w^2 - 6*w + 4]', '[531, 177, -7*w^2 + 21*w + 11]', '[531, 531, 5*w + 4]', '[531, 531, -w^2 + 5*w + 5]', '[531, 531, w^2 - 6*w + 5]', '[533, 533, 3*w^2 - 14]', '[533, 533, 2*w^2 - 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30]', '[9695, 9695, -3*w^2 - 6*w + 52]', '[9697, 9697, 7*w^2 - 27*w + 15]', '[9703, 9703, -17*w^2 + 52*w + 15]', '[9704, 2426, -14*w^2 + 40*w + 30]', '[9705, 9705, 10*w^2 - 7*w - 87]', '[9709, 9709, 7*w^2 - 3*w - 54]', '[9717, 9717, -7*w^2 + 10*w + 36]', '[9717, 9717, -7*w^2 + 14*w + 8]', '[9717, 9717, 7*w^2 - 5*w - 71]', '[9720, 90, -6*w^2 + 18*w - 6]', '[9720, 270, 6*w^2 - 12*w - 48]', '[9720, 2430, 8*w^2 + 6*w - 32]', '[9723, 9723, -13*w^2 + 28*w + 54]', '[9725, 1945, 6*w^2 + 3*w - 31]', '[9725, 9725, -12*w^2 + 18*w + 85]', '[9728, 152, -8*w^2 + 16*w + 32]', '[9729, 3243, -14*w^2 + 45*w + 16]', '[9729, 9729, 2*w^2 - 16*w + 5]', '[9733, 9733, -5*w^2 - 14*w - 13]', '[9736, 2434, -14*w^2 + 46*w + 14]', '[9739, 9739, 5*w^2 - 23*w + 14]', '[9745, 9745, 6*w^2 - 7*w - 28]', '[9747, 57, 6*w^2 + 3*w - 15]', '[9747, 513, -13*w^2 - 35*w - 15]', '[9747, 1083, -3*w^2 - 12*w - 18]', '[9747, 9747, -7*w^2 + 12*w + 31]', '[9751, 1393, -9*w^2 + 17*w + 53]', '[9751, 9751, -10*w^2 - 7*w + 34]', '[9753, 9753, -9*w^2 - 8*w + 32]', '[9755, 9755, -6*w^2 + 26*w - 13]', '[9765, 3255, -13*w^2 + 24*w + 122]', '[9765, 9765, w^2 - w - 27]', '[9771, 9771, -9*w^2 - 7*w + 28]', '[9771, 9771, -15*w^2 + w + 80]', '[9771, 9771, -11*w^2 + 11*w + 75]', '[9777, 9777, 4*w^2 + 4*w - 23]', '[9777, 9777, -13*w^2 - 10*w + 47]', '[9777, 9777, 2*w^2 + 16*w + 21]', '[9781, 9781, -10*w^2 + 23*w + 34]', '[9787, 9787, 5*w^2 - 2*w - 58]', '[9795, 9795, -4*w^2 + 11*w + 35]', '[9797, 9797, 2*w^2 - 11*w - 19]', '[9797, 9797, -11*w^2 + 22*w + 50]', '[9797, 9797, -w^2 - 7*w - 20]', '[9800, 70, 6*w^2 - 2*w - 26]', '[9800, 350, 6*w^2 - 2*w - 68]', '[9800, 490, -6*w^2 + 2*w + 6]', '[9800, 2450, 6*w^2 - 22*w + 12]', '[9811, 9811, 6*w^2 - 12*w - 47]', '[9813, 9813, 8*w^2 + 27*w + 16]', '[9817, 9817, -8*w + 33]', '[9819, 3273, -8*w^2 + 39*w - 41]', '[9819, 9819, 9*w^2 - 19*w - 35]', '[9825, 1965, 7*w^2 - 9*w - 67]', '[9825, 9825, 8*w^2 - 22*w - 25]', '[9827, 9827, 3*w^2 + 3*w - 34]', '[9832, 2458, -4*w - 22]', '[9833, 9833, -18*w^2 + 58*w + 3]', '[9835, 9835, 10*w^2 - 24*w - 39]', '[9837, 3279, -7*w^2 + 15*w + 20]', '[9837, 9837, 2*w^2 + 3*w + 13]', '[9839, 9839, -15*w^2 + 52*w - 6]', '[9841, 9841, 8*w^2 - 4*w - 45]', '[9841, 9841, 7*w^2 - 16*w - 35]', '[9847, 9847, w^2 - 13*w - 11]', '[9849, 1407, -w^2 + 12*w + 37]', '[9849, 9849, 14*w^2 - 51*w + 13]', '[9855, 1095, 3*w^2 + 3*w - 30]', '[9855, 9855, -16*w^2 + 38*w + 59]', '[9857, 9857, 7*w^2 - 3*w - 36]', '[9859, 9859, -w^2 + 14*w - 32]', '[9861, 9861, 6*w^2 - 11*w - 16]', '[9861, 9861, 9*w^2 - 13*w - 53]', '[9861, 9861, 4*w - 25]', '[9863, 9863, -4*w^2 + 11*w + 31]', '[9873, 3291, 25*w^2 - 84*w - 2]', '[9873, 9873, -10*w^2 + 27*w + 10]', '[9875, 395, -5*w^2 - 20*w - 10]', '[9875, 9875, -w^2 - 7*w + 19]', '[9880, 2470, 4*w^2 - 14*w + 12]', '[9880, 2470, -4*w^2 - 6*w + 18]', '[9887, 9887, w^2 + 7*w - 25]', '[9891, 3297, -2*w^2 - 9*w + 10]', '[9891, 9891, 11*w^2 - 32*w - 24]', '[9893, 9893, 8*w^2 + 16*w - 11]', '[9893, 9893, -3*w^2 + 4*w - 9]', '[9896, 2474, -12*w^2 + 36*w + 22]', '[9897, 9897, 2*w^2 - 35]', '[9899, 9899, -2*w^2 - 6*w - 15]', '[9901, 9901, 4*w^2 - 5*w - 46]', '[9903, 9903, -13*w^2 - 10*w + 44]', '[9905, 9905, -12*w^2 + 5*w + 72]', '[9909, 1101, -3*w^2 - 9]', '[9909, 1101, 9*w^2 - 33*w + 12]', '[9909, 1101, -6*w^2 + 27*w - 18]', '[9909, 9909, 4*w^2 - 14*w - 17]', '[9909, 9909, 11*w^2 + 20*w - 4]', '[9909, 9909, -6*w^2 + 11*w + 13]', '[9912, 2478, 4*w^2 - 6*w - 46]', '[9912, 2478, 2*w^2 - 8*w - 36]', '[9912, 2478, 10*w^2 - 14*w - 62]', '[9913, 9913, 2*w^2 + 5*w - 23]', '[9917, 9917, -10*w^2 + 40*w - 17]', '[9920, 620, -12*w - 32]', '[9921, 9921, 5*w^2 + 2*w - 31]', '[9923, 9923, 3*w^2 - 13*w - 15]', '[9925, 1985, 3*w^2 + 4*w - 23]', '[9925, 1985, 9*w^2 - 3*w - 59]', '[9925, 1985, 3*w^2 - 11*w - 23]', '[9925, 9925, -6*w^2 + 10*w + 21]', '[9925, 9925, -3*w^2 - 20*w - 27]', '[9925, 9925, 9*w^2 + 13*w - 21]', '[9931, 9931, -14*w^2 + 38*w + 31]', '[9935, 9935, 7*w^2 + 3*w - 24]', '[9935, 9935, -w^2 - 15*w - 24]', '[9935, 9935, -7*w^2 + 20*w + 22]', '[9937, 9937, -w^2 + 8*w - 24]', '[9937, 9937, w^2 + 12*w - 6]', '[9937, 9937, 8*w^2 + 11*w - 6]', '[9939, 9939, 7*w^2 - 3*w - 64]', '[9941, 9941, 4*w^2 - 11*w - 34]', '[9941, 9941, -4*w^2 + 14*w + 49]', '[9941, 9941, 15*w^2 - 49*w]', '[9949, 9949, 4*w^2 + 9*w - 12]', '[9957, 9957, 3*w^2 - 11*w - 31]', '[9959, 9959, -11*w^2 + 31*w + 14]', '[9961, 9961, -7*w^2 + 15*w + 39]', '[9963, 369, 15*w^2 - 54*w - 3]', '[9963, 369, 3*w^2 - 18*w + 21]', '[9963, 369, -12*w^2 + 27*w + 51]', '[9963, 1107, -3*w^2 - 3*w + 33]', '[9963, 1107, -3*w^2 + 24*w + 6]', '[9963, 1107, -3*w^2 + 12*w + 18]', '[9963, 9963, 2*w^2 + 8*w + 17]', '[9963, 9963, -25*w^2 + 26*w + 188]', '[9963, 9963, -10*w^2 + 16*w + 93]', '[9965, 9965, 2*w^2 - 14*w + 29]', '[9967, 9967, 9*w^2 - 12*w - 55]', '[9967, 9967, 4*w^2 - 13*w - 20]', '[9967, 9967, 3*w^2 + 10*w - 9]', '[9969, 9969, 4*w^2 - 11*w - 32]', '[9971, 767, 2*w^2 - 11*w - 25]', '[9971, 767, 8*w^2 - 19*w - 20]', '[9971, 767, 6*w^2 - 11*w - 15]', '[9971, 767, -w^2 - 14*w - 20]', '[9971, 767, -8*w^2 + 32*w - 19]', '[9971, 767, 3*w^2 + 3*w - 31]', '[9971, 9971, 9*w^2 - 35*w + 9]', '[9971, 9971, -6*w^2 + 21*w + 13]', '[9971, 9971, -3*w^2 + 16*w + 10]', '[9975, 1995, 14*w^2 - 53*w - 9]', '[9975, 9975, w^2 + 3*w + 17]', '[9981, 3327, -5*w^2 + 12*w + 46]', '[9981, 9981, -10*w^2 - 11*w + 30]', '[9983, 9983, 7*w^2 - 6*w - 39]', '[9983, 9983, 2*w^2 + 5*w - 30]', '[9987, 9987, w - 22]', '[9989, 9989, 5*w^2 - 22*w + 21]', '[9989, 9989, -12*w^2 + 33*w + 23]', '[9989, 9989, -14*w^2 + 20*w + 101]', '[9992, 2498, 2*w^2 + 8*w - 12]', '[9995, 9995, -5*w^2 + 23*w + 8]', '[9997, 9997, 11*w^2 + 6*w - 42]', '[9997, 9997, 4*w^2 - 11*w - 33]'], 'label': '3.3.1937.1', 'narrow_class_no': 2, 'primes': ['[3, 3, -w - 2]', '[5, 5, w + 1]', '[7, 7, w - 3]', '[8, 2, 2]', '[9, 3, w^2 - 3*w - 2]', '[13, 13, w + 3]', '[13, 13, -w + 2]', '[19, 19, -w^2 + 2*w + 4]', '[23, 23, w^2 - 4*w + 1]', '[25, 5, w^2 - 2*w - 1]', '[31, 31, w^2 - 2*w - 9]', '[37, 37, -w^2 + 3*w + 3]', '[41, 41, w^2 - w - 1]', '[41, 41, w^2 - w - 5]', '[41, 41, w^2 - w - 10]', '[43, 43, -2*w - 3]', '[47, 47, -w^2 - w + 4]', '[49, 7, -w^2 + 5*w - 5]', '[59, 59, w^2 - w - 4]', '[59, 59, w^2 - 3]', '[59, 59, w - 5]', '[67, 67, 2*w^2 - 4*w - 9]', '[73, 73, 2*w^2 - 3*w - 12]', '[79, 79, -3*w^2 + 9*w + 5]', '[97, 97, 2*w^2 - w - 14]', '[97, 97, 2*w^2 - 2*w - 13]', '[97, 97, -2*w^2 + 5*w + 5]', '[101, 101, w^2 - w - 11]', '[131, 131, w - 6]', '[139, 139, -2*w^2 + 5*w + 4]', '[149, 149, -3*w + 11]', '[149, 149, -3*w - 4]', '[157, 157, w^2 - 3*w - 6]', '[173, 173, w^2 - 5*w + 3]', '[173, 173, -2*w^2 + 5*w + 8]', '[173, 173, 3*w^2 - 5*w - 17]', '[179, 179, 2*w^2 - w - 11]', '[179, 179, -3*w^2 + 7*w + 12]', '[179, 179, w^2 - 2*w - 12]', '[181, 181, w^2 + w - 16]', '[199, 199, 2*w^2 - 9]', '[211, 211, -w^2 + w - 2]', '[229, 229, -w^2 + 3*w - 3]', '[233, 233, w^2 + w - 7]', '[257, 257, 3*w^2 - 3*w - 20]', '[271, 271, w^2 - 4*w - 13]', '[271, 271, 3*w^2 - 4*w - 19]', '[271, 271, 2*w - 9]', '[277, 277, 3*w^2 - 5*w - 20]', '[281, 281, -w^2 - w + 13]', '[283, 283, -3*w + 8]', '[293, 293, -4*w - 7]', '[307, 307, w^2 + 2*w - 5]', '[311, 311, 2*w^2 - 4*w - 5]', '[313, 313, -w^2 - w - 3]', '[317, 317, -3*w^2 + 8*w + 5]', '[331, 331, -w^2 + 2*w - 3]', '[337, 337, -w - 7]', '[337, 337, w^2 + w - 9]', '[337, 337, 3*w - 5]', '[359, 359, 2*w^2 - 4*w - 15]', '[361, 19, 2*w^2 + w - 5]', '[367, 367, -w^2 - 3]', '[367, 367, 3*w^2 - 11*w + 4]', '[367, 367, -2*w^2 + 9*w - 6]', '[373, 373, 2*w^2 - w - 9]', '[379, 379, 3*w^2 - 5*w - 21]', '[383, 383, w - 8]', '[389, 389, -4*w^2 + 9*w + 15]', '[397, 397, 2*w^2 + w - 4]', '[397, 397, -4*w^2 + 13*w + 5]', '[397, 397, -w^2 - 2*w - 4]', '[401, 401, w^2 - 5*w - 4]', '[421, 421, 3*w^2 - 4*w - 18]', '[431, 431, w^2 - 4*w - 16]', '[433, 433, w^2 - 4*w - 7]', '[439, 439, w^2 + 2*w - 17]', '[457, 457, 2*w^2 - 3]', '[457, 457, 4*w - 3]', '[457, 457, 2*w^2 - 3*w - 6]', '[463, 463, 3*w^2 - 12*w + 7]', '[479, 479, w^2 - 6*w + 6]', '[479, 479, -w^2 + 15]', '[479, 479, -6*w^2 + 19*w + 1]', '[487, 487, 2*w^2 - 7*w - 5]', '[487, 487, w^2 + 5*w + 8]', '[487, 487, 3*w^2 - 6*w - 17]', '[491, 491, -4*w + 15]', '[503, 503, 8*w^2 - 25*w - 5]', '[509, 509, 3*w^2 - 12*w + 4]', '[509, 509, -3*w^2 - 5*w + 6]', '[509, 509, w^2 - w - 14]', '[521, 521, -4*w^2 + 10*w + 11]', '[523, 523, 2*w^2 - 7*w + 4]', '[523, 523, 2*w^2 - 2*w - 7]', '[523, 523, -7*w^2 + 22*w + 8]', '[529, 23, 4*w^2 - 14*w + 3]', '[541, 541, w^2 + 4*w - 3]', '[541, 541, -5*w - 9]', '[541, 541, -5*w^2 + 11*w + 20]', '[557, 557, -w^2 + 5*w - 8]', '[563, 563, 2*w^2 - 15]', '[563, 563, -w^2 - 2*w + 20]', '[563, 563, w^2 - 3*w - 15]', '[569, 569, 2*w^2 - w - 5]', '[577, 577, 2*w^2 - 3*w - 21]', '[587, 587, -4*w^2 + 11*w + 6]', '[599, 599, 2*w^2 + 2*w - 9]', '[607, 607, -3*w - 10]', '[613, 613, 4*w^2 - 7*w - 25]', '[631, 631, -3*w^2 + 7*w + 7]', '[641, 641, 3*w^2 - 2*w - 17]', '[641, 641, -3*w^2 + 14*w - 12]', '[641, 641, -5*w^2 + 15*w + 9]', '[643, 643, -5*w - 8]', '[647, 647, 3*w^2 - w - 21]', '[653, 653, w^2 + 7*w + 9]', '[673, 673, -3*w^2 - 2*w + 9]', '[683, 683, 5*w^2 - 17*w + 2]', '[683, 683, 3*w^2 - 6*w - 11]', '[683, 683, 2*w^2 - 7*w - 6]', '[691, 691, w^2 + 3*w + 6]', '[701, 701, 2*w^2 - 5*w - 19]', '[709, 709, -3*w^2 + 9*w + 8]', '[727, 727, 3*w - 13]', '[739, 739, -w - 9]', '[743, 743, 5*w - 3]', '[743, 743, 2*w^2 - 5*w - 13]', '[743, 743, 3*w^2 - 3*w - 17]', '[757, 757, 3*w^2 - 4*w - 16]', '[761, 761, w^2 + 4*w - 4]', '[769, 769, 3*w^2 - w - 15]', '[773, 773, -w^2 + 2*w - 5]', '[787, 787, -2*w^2 + 10*w - 9]', '[797, 797, w^2 - 4*w - 17]', '[811, 811, 6*w^2 - 20*w + 1]', '[811, 811, -w^2 + 4*w - 7]', '[811, 811, 4*w - 9]', '[821, 821, 2*w^2 - 5*w - 14]', '[823, 823, -5*w^2 + 14*w + 8]', '[827, 827, 3*w^2 - w - 22]', '[829, 829, -3*w^2 + 6*w + 10]', '[859, 859, -9*w^2 + 29*w + 2]', '[859, 859, 4*w^2 - 13*w + 2]', '[859, 859, -w^2 + w - 5]', '[863, 863, 2*w^2 + w - 13]', '[877, 877, w^2 + 2*w - 11]', '[881, 881, 2*w^2 - 8*w + 7]', '[883, 883, 3*w^2 + 3*w - 4]', '[907, 907, w^2 + 2*w - 13]', '[929, 929, -3*w - 11]', '[937, 937, w^2 - 5*w - 12]', '[941, 941, 5*w - 4]', '[947, 947, 4*w^2 - 7*w - 20]', '[953, 953, 2*w^2 + 6*w - 3]', '[961, 31, 5*w^2 - 8*w - 29]', '[967, 967, -5*w^2 + 14*w + 7]', '[971, 971, w^2 - 5*w - 10]', '[977, 977, 2*w^2 - 4*w - 23]', '[977, 977, w^2 - 8*w + 17]', '[977, 977, 3*w^2 - 19]', '[991, 991, 3*w^2 - 4*w - 3]']}
60. label: 3.3.1940.1
    {'degree': 3, 'discriminant': 1940, 'ideals': ['[1, 1, 1]', '[2, 2, -w]', '[3, 3, w^2 - 7]', '[4, 2, -w^2 + 8]', '[5, 5, w + 1]', '[5, 5, -w - 3]', '[6, 6, -w - 2]', '[8, 2, 2]', '[9, 3, w^2 - 2*w - 1]', '[9, 9, w - 1]', '[10, 10, -3*w^2 + w + 24]', '[10, 10, -w + 2]', '[12, 6, -w^2 + 2*w + 2]', '[15, 15, -2*w - 1]', '[15, 15, w^2 + w - 5]', '[16, 4, -2*w]', '[17, 17, -2*w^2 + 15]', '[17, 17, 3*w + 1]', '[17, 17, -w^2 + w + 5]', '[18, 6, -w^2 - w + 4]', '[18, 18, -w^2 + w]', '[19, 19, -2*w^2 + w + 15]', '[20, 10, -w^2 + 6]', '[20, 10, w^2 - 2*w]', '[24, 6, 2*w^2 - 14]', '[25, 5, -w^2 + 3*w - 1]', '[25, 5, -w^2 + w + 7]', '[25, 25, 3*w^2 - w - 25]', '[27, 3, 3]', '[27, 27, -w^2 + w + 9]', '[29, 29, w^2 - w - 1]', '[30, 30, 2*w^2 - w - 16]', '[30, 30, -w + 4]', '[32, 4, -2*w^2 + 16]', '[34, 34, w + 4]', '[34, 34, -w^2 + w + 8]', '[34, 34, -w^2 + 3*w + 2]', '[36, 6, w^2 - 2*w - 4]', '[36, 18, w^2 - 10]', '[38, 38, -w^2 + w + 4]', '[40, 10, 2*w + 2]', '[40, 10, -2*w - 6]', '[41, 41, w^2 - 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w - 49]', '[1915, 1915, 3*w^2 - 7]', '[1915, 1915, 8*w^2 - 5*w - 73]', '[1915, 1915, -5*w^2 - 4*w + 23]', '[1915, 1915, -6*w^2 + 19*w + 1]', '[1915, 1915, w^2 + 6*w - 5]', '[1915, 1915, 6*w^2 - 4*w - 45]', '[1917, 213, 3*w^2 - 9]', '[1917, 1917, 4*w^2 + 3*w - 25]', '[1920, 120, 8*w^2 - 4*w - 64]', '[1920, 120, -4*w + 16]', '[1921, 1921, w^2 - 8*w + 3]', '[1921, 1921, 8*w^2 - 1]', '[1921, 1921, -5*w^2 + 9*w + 13]', '[1923, 1923, -16*w^2 + 4*w + 123]', '[1926, 642, 11*w^2 - w - 86]', '[1926, 642, 4*w^2 - 5*w - 40]', '[1926, 642, w^2 + w + 8]', '[1926, 1926, 2*w^2 - 11*w]', '[1926, 1926, -5*w^2 + 13*w + 10]', '[1926, 1926, -2*w^2 + 5*w + 24]', '[1927, 1927, w^2 - 6*w - 9]', '[1929, 1929, -5*w^2 + 4*w + 43]', '[1930, 1930, 3*w^2 + 3*w - 20]', '[1930, 1930, 4*w^2 - 15*w - 6]', '[1931, 1931, 3*w^2 - 4*w - 25]', '[1931, 1931, 3*w^2 - 12*w + 1]', '[1931, 1931, 4*w^2 + 2*w - 19]', '[1934, 1934, 4*w^2 + 5*w - 2]', '[1935, 645, -5*w^2 - 14*w - 7]', '[1935, 645, 10*w^2 + 13*w - 37]', '[1935, 1935, -4*w^2 - 17*w - 15]', '[1935, 1935, 4*w^2 + 9*w + 5]', '[1938, 1938, -7*w - 8]', '[1938, 1938, -7*w^2 - 5*w + 36]', '[1938, 1938, 2*w^2 - 7*w + 8]', '[1940, 970, 3*w^2 - 8]', '[1940, 970, -11*w^2 + 24*w + 6]', '[1940, 970, 43*w^2 - 10*w - 338]', '[1940, 970, 3*w^2 - 32]', '[1941, 1941, -7*w^2 + 20*w - 1]', '[1944, 18, 6*w^2 - 12*w - 6]', '[1944, 54, 6*w - 6]', '[1944, 486, 4*w^2 - 22]', '[1948, 974, w^2 + 8*w - 2]', '[1956, 978, 3*w^2 - 8*w - 10]', '[1957, 1957, 4*w^2 - 4*w - 35]', '[1959, 1959, 13*w^2 - 5*w - 101]', '[1959, 1959, 8*w^2 - 4*w - 55]', '[1959, 1959, -16*w^2 + 8*w + 137]', '[1965, 1965, -2*w^2 + 4*w - 5]', '[1965, 1965, 9*w^2 - w - 65]', '[1968, 492, -4*w^2 - 6*w + 16]', '[1970, 1970, -9*w^2 + 21*w + 14]', '[1970, 1970, -10*w^2 + w + 86]', '[1971, 219, 18*w^2 - 6*w - 141]', '[1971, 1971, 6*w^2 - 20*w + 5]', '[1972, 986, w^2 + 6*w - 24]', '[1972, 986, 11*w^2 - 2*w - 82]', '[1972, 986, -5*w^2 + 4*w]', '[1973, 1973, 4*w^2 - 11*w + 3]', '[1977, 1977, -9*w^2 - w + 61]', '[1979, 1979, -6*w + 13]', '[1982, 1982, -5*w + 18]', '[1983, 1983, -6*w^2 - 2*w + 41]', '[1983, 1983, -13*w^2 - 4*w + 83]', '[1983, 1983, 8*w^2 - 65]', '[1985, 1985, 8*w^2 - 63]', '[1985, 1985, 4*w^2 - 11*w - 9]', '[1986, 1986, -11*w^2 + 3*w + 92]', '[1987, 1987, 12*w^2 - w - 99]', '[1990, 1990, 2*w^2 + 11*w]', '[1990, 1990, w^2 - 9*w - 30]', '[1992, 498, 4*w^2 - 4*w - 30]', '[1992, 498, 8*w^2 - 18*w - 14]', '[1992, 498, -10*w^2 + 2*w + 74]', '[1993, 1993, 2*w^2 - 25]', '[1994, 1994, 7*w^2 - 3*w - 48]', '[1996, 998, -3*w^2 - 4*w - 4]', '[1999, 1999, 19*w^2 - 5*w - 147]', '[2000, 20, -10*w]', '[2000, 100, -2*w^2 + 6*w + 28]', '[2000, 100, 4*w^2 + 6*w - 8]', '[2000, 500, 14*w^2 - 2*w - 112]', '[2003, 2003, 4*w^2 + 2*w - 43]', '[2003, 2003, 13*w^2 - 5*w - 105]', '[2003, 2003, 8*w^2 - w - 57]', '[2004, 1002, 7*w^2 - 4*w - 54]', '[2005, 2005, -w^2 - 8*w - 17]', '[2005, 2005, -3*w^2 + 14*w + 59]', '[2006, 2006, 2*w^2 - 5*w - 14]', '[2006, 2006, 10*w^2 - 5*w - 84]', '[2006, 2006, 3*w^2 - 7*w - 42]', '[2007, 669, -11*w^2 + w + 89]', '[2007, 669, 8*w^2 - 25*w - 5]', '[2007, 669, -5*w^2 + 10*w + 17]', '[2007, 2007, -4*w^2 + 6*w + 7]', '[2007, 2007, -4*w^2 - w + 41]', '[2007, 2007, w^2 + 12*w + 5]', '[2008, 502, 4*w^2 - 10*w + 2]', '[2011, 2011, 5*w^2 - 31]', '[2012, 1006, -w^2 - 2*w + 20]', '[2014, 2014, w^2 + 5*w - 8]', '[2018, 2018, 6*w^2 - w - 54]', '[2019, 2019, 3*w^2 + 2*w - 35]', '[2021, 2021, 6*w^2 - 12*w - 19]', '[2025, 45, w^2 - 8*w + 11]', '[2025, 45, 7*w^2 - 2*w - 49]', '[2025, 45, -6*w^2 + 3*w + 39]', '[2025, 45, 9*w^2 - 24*w - 3]', '[2025, 225, 3*w^2 - 6*w - 15]', '[2025, 225, -5*w^2 + 13*w - 1]', '[2025, 405, -4*w^2 + 9*w + 13]', '[2025, 405, -14*w^2 + 2*w + 111]', '[2025, 2025, 4*w^2 - w - 39]', '[2026, 2026, -5*w^2 + 9*w + 6]', '[2029, 2029, 16*w^2 - 6*w - 123]', '[2029, 2029, -6*w^2 + 4*w + 37]', '[2029, 2029, 4*w^2 - 17*w - 3]', '[2031, 2031, 2*w^2 - w - 25]', '[2033, 2033, -11*w^2 + 4*w + 93]', '[2033, 2033, 2*w^2 + 6*w - 7]', '[2033, 2033, 18*w^2 - 6*w - 137]', '[2034, 678, -5*w^2 + w + 2]', '[2034, 2034, -2*w^2 - 9*w + 2]', '[2040, 510, 4*w^2 + 2*w - 30]', '[2040, 510, 4*w^2 + 4*w - 14]', '[2040, 510, 6*w^2 - 4*w - 50]', '[2040, 510, -2*w^2 + 10*w - 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6*w - 21]', '[9909, 1101, -9*w^2 + 57]', '[9909, 1101, -3*w^2 - 9]', '[9909, 9909, -22*w^2 + w + 165]', '[9909, 9909, 7*w^2 + 3*w - 55]', '[9909, 9909, 2*w^2 - 9*w - 29]', '[9910, 9910, -5*w^2 + 13*w + 18]', '[9910, 9910, 5*w^2 - 3*w - 54]', '[9915, 9915, 8*w^2 + 30*w + 13]', '[9915, 9915, -17*w^2 - 25*w + 57]', '[9915, 9915, -9*w^2 + 20*w + 1]', '[9915, 9915, 7*w^2 + 2*w + 3]', '[9915, 9915, 8*w^2 - w - 49]', '[9915, 9915, -8*w^2 - 9*w + 29]', '[9917, 9917, -16*w^2 + 33*w + 11]', '[9918, 3306, 5*w^2 - 7*w - 44]', '[9918, 9918, 14*w^2 - 7*w - 124]', '[9921, 9921, 7*w^2 - 11*w - 17]', '[9923, 9923, -6*w^2 + 2*w - 3]', '[9923, 9923, 32*w^2 - 7*w - 261]', '[9923, 9923, -3*w^2 - 5*w - 11]', '[9925, 1985, 8*w^2 + w - 47]', '[9925, 1985, -7*w^2 + 12*w - 1]', '[9925, 9925, -w^2 + 10*w + 19]', '[9927, 3309, 8*w^2 + 8*w - 41]', '[9927, 9927, -4*w^2 + 22*w + 9]', '[9928, 2482, -12*w^2 + 22*w + 42]', '[9928, 2482, -18*w^2 + 134]', '[9928, 2482, 2*w - 22]', '[9929, 9929, 3*w^2 - 8*w - 27]', '[9929, 9929, w^2 - 12*w + 19]', '[9929, 9929, 6*w^2 + 6*w - 17]', '[9930, 9930, 3*w^2 - 17*w + 2]', '[9930, 9930, -8*w^2 + 7*w + 70]', '[9931, 9931, 17*w^2 - 40*w - 9]', '[9934, 9934, 6*w^2 - 7*w - 16]', '[9934, 9934, 6*w^2 + 7*w - 32]', '[9934, 9934, 4*w^2 - 9*w - 24]', '[9935, 9935, 11*w^2 - 4*w - 75]', '[9935, 9935, -11*w^2 + 29*w + 1]', '[9941, 9941, 2*w^2 + 8*w - 45]', '[9941, 9941, 14*w^2 - 115]', '[9941, 9941, 4*w^2 - 19*w + 1]', '[9942, 9942, -4*w^2 + 13*w - 12]', '[9947, 203, 7*w^2 - 7*w - 7]', '[9949, 9949, -7*w^2 + 9*w - 1]', '[9950, 1990, 31*w^2 - 11*w - 252]', '[9950, 1990, -7*w^2 + w + 68]', '[9950, 9950, 2*w^2 + 7*w - 22]', '[9952, 1244, 6*w^2 + 4*w - 44]', '[9956, 4978, 7*w^2 - 20*w + 6]', '[9957, 9957, -11*w^2 - 16*w + 39]', '[9960, 2490, -2*w - 22]', '[9960, 2490, -8*w^2 - 4*w + 54]', '[9960, 2490, -10*w^2 + 32*w + 2]', '[9960, 2490, -8*w^2 + 10*w + 82]', '[9960, 2490, -4*w^2 + 18*w + 10]', '[9960, 2490, -6*w^2 + 4*w + 26]', '[9962, 9962, 9*w^2 + 3*w - 64]', '[9962, 9962, 8*w^2 - 13*w - 24]', '[9962, 9962, 18*w^2 - 5*w - 134]', '[9963, 369, 6*w^2 - 12*w + 3]', '[9963, 1107, -3*w^2 + 9*w + 21]', '[9963, 9963, -5*w^2 + 4*w + 55]', '[9964, 4982, 3*w^2 - 8*w - 32]', '[9965, 9965, 2*w^2 - 9*w - 21]', '[9965, 9965, -6*w^2 + 9*w + 71]', '[9967, 9967, 6*w^2 - 3*w - 61]', '[9969, 9969, -8*w^2 + 20*w + 111]', '[9970, 9970, 4*w^2 + 5*w - 34]', '[9970, 9970, -18*w^2 + w + 130]', '[9973, 9973, 18*w^2 - 6*w - 133]', '[9974, 9974, 4*w^2 + 31*w + 6]', '[9974, 9974, 9*w^2 + 19*w - 18]', '[9974, 9974, 10*w^2 - 3*w - 90]', '[9976, 2494, 6*w^2 + 8*w + 6]', '[9980, 4990, w^2 + 2*w - 28]', '[9980, 4990, 39*w^2 - 8*w - 302]', '[9981, 3327, -14*w^2 + 7*w + 113]', '[9981, 9981, -40*w^2 + 12*w + 325]', '[9991, 9991, 5*w^2 - 24*w - 3]', '[9991, 9991, 9*w^2 - 25*w + 3]', '[9994, 9994, 14*w^2 - 45*w - 10]', '[9994, 9994, 14*w^2 - 5*w - 100]', '[9994, 9994, 7*w^2 + 3*w - 60]', '[9995, 9995, 14*w^2 - 109]', '[9995, 9995, 6*w^2 - 17*w - 15]', '[9998, 9998, 8*w^2 + 7*w - 44]', '[10000, 100, 6*w^2 + 2*w - 64]', '[10000, 100, -30*w^2 + 10*w + 240]', '[10000, 100, -10*w + 20]', '[10000, 500, 12*w^2 - 2*w - 84]', '[10000, 2500, -6*w^2 + 14*w - 4]'], 'label': '3.3.1940.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w]', '[3, 3, w^2 - 7]', '[5, 5, w + 1]', '[5, 5, -w - 3]', '[9, 3, w^2 - 2*w - 1]', '[17, 17, -2*w^2 + 15]', '[17, 17, 3*w + 1]', '[17, 17, -w^2 + w + 5]', '[19, 19, -2*w^2 + w + 15]', '[29, 29, w^2 - w - 1]', '[41, 41, w^2 - 5]', '[43, 43, w^2 + w - 3]', '[47, 47, 2*w - 1]', '[53, 53, -2*w - 3]', '[59, 59, w^2 - w - 11]', '[71, 71, w^2 - 3]', '[73, 73, 6*w^2 - 2*w - 47]', '[83, 83, w^2 - 4*w + 1]', '[83, 83, 3*w^2 - 25]', '[83, 83, w - 5]', '[97, 97, -w^2 + w - 1]', '[97, 97, 7*w^2 - 2*w - 57]', '[103, 103, -2*w + 7]', '[107, 107, -2*w^2 + 4*w + 3]', '[107, 107, 3*w^2 - 2*w - 21]', '[107, 107, w^2 + w - 9]', '[113, 113, 5*w^2 - 12*w - 3]', '[131, 131, -2*w^2 + 2*w + 13]', '[139, 139, 2*w^2 - 19]', '[149, 149, 3*w^2 - w - 21]', '[163, 163, w^2 + 2*w - 5]', '[167, 167, 3*w^2 - 7*w - 1]', '[179, 179, 2*w^2 + w - 19]', '[181, 181, -3*w - 5]', '[191, 191, 4*w^2 - 2*w - 33]', '[191, 191, w^2 - 2*w - 9]', '[191, 191, 3*w^2 - 6*w - 1]', '[193, 193, 2*w^2 - 1]', '[197, 197, -2*w^2 + 5*w + 5]', '[199, 199, w^2 - 3*w + 3]', '[211, 211, -2*w^2 + 7*w + 3]', '[223, 223, -3*w^2 + 6*w + 7]', '[223, 223, w^2 - 3*w - 5]', '[223, 223, 4*w^2 - 33]', '[227, 227, -5*w^2 + 14*w + 5]', '[229, 229, -4*w - 3]', '[229, 229, 7*w^2 - w - 55]', '[229, 229, -2*w^2 + 3*w + 3]', '[239, 239, -2*w^2 - w - 1]', '[251, 251, 2*w^2 - 5*w + 1]', '[263, 263, 2*w^2 - 2*w - 17]', '[263, 263, 3*w^2 - w - 27]', '[263, 263, -2*w^2 + 9*w + 3]', '[269, 269, w^2 - 5*w - 3]', '[269, 269, 13*w^2 - 3*w - 105]', '[269, 269, -3*w^2 + 7*w + 7]', '[271, 271, 3*w^2 - 8*w - 5]', '[281, 281, w^2 - w - 13]', '[283, 283, -4*w^2 + 8*w + 3]', '[293, 293, 2*w^2 + w - 17]', '[307, 307, 5*w^2 - 2*w - 43]', '[311, 311, -w^2 - w - 3]', '[313, 313, w^2 - 5*w + 3]', '[331, 331, 7*w^2 - 3*w - 53]', '[343, 7, -7]', '[349, 349, w^2 - 6*w - 3]', '[353, 353, -3*w^2 + 3*w + 19]', '[359, 359, 3*w^2 + 2*w - 15]', '[361, 19, -4*w^2 + 10*w + 7]', '[367, 367, 2*w^2 - 2*w - 7]', '[367, 367, -3*w^2 + 19]', '[367, 367, -w^2 - 3]', '[373, 373, 9*w^2 - 2*w - 69]', '[373, 373, w^2 + 2*w - 11]', '[373, 373, 8*w^2 - 2*w - 61]', '[383, 383, -4*w^2 + 9*w + 5]', '[383, 383, 2*w^2 - w - 9]', '[383, 383, 7*w^2 - w - 59]', '[397, 397, 11*w^2 - 3*w - 85]', '[401, 401, 2*w^2 - 3*w - 21]', '[409, 409, 2*w^2 - 9]', '[419, 419, 2*w^2 - 6*w + 3]', '[419, 419, 2*w^2 + 2*w - 3]', '[419, 419, -4*w^2 + 27]', '[421, 421, -15*w^2 + 4*w + 121]', '[421, 421, 3*w^2 - 1]', '[421, 421, 2*w^2 - 2*w - 5]', '[439, 439, 2*w^2 - 4*w - 9]', '[449, 449, w^2 + 4*w - 3]', '[449, 449, 5*w - 1]', '[449, 449, 6*w^2 - w - 51]', '[457, 457, -2*w - 9]', '[457, 457, -3*w^2 + 5*w + 9]', '[457, 457, 2*w^2 + w - 7]', '[461, 461, 5*w^2 - 39]', '[461, 461, w^2 - 3*w - 17]', '[461, 461, 3*w^2 - 2*w - 29]', '[463, 463, -7*w - 3]', '[467, 467, 8*w^2 - 3*w - 63]', '[487, 487, 8*w^2 - w - 63]', '[499, 499, 6*w^2 - 2*w - 51]', '[503, 503, w^2 - 6*w + 1]', '[521, 521, 3*w^2 - 2*w - 17]', '[521, 521, 2*w^2 - 3*w - 13]', '[521, 521, w^2 - 6*w + 7]', '[541, 541, -3*w^2 - w + 23]', '[547, 547, -4*w^2 + 12*w + 5]', '[557, 557, 6*w^2 - 14*w - 3]', '[569, 569, 2*w^2 + 4*w - 7]', '[571, 571, -2*w^2 - 2*w + 21]', '[571, 571, 5*w^2 - 2*w - 35]', '[571, 571, -3*w^2 + 9*w + 5]', '[593, 593, -3*w - 11]', '[599, 599, 3*w^2 - 4*w - 3]', '[601, 601, -4*w^2 + 8*w + 9]', '[607, 607, 2*w^2 - 8*w + 1]', '[613, 613, -w^2 - 2*w - 5]', '[617, 617, 3*w^2 - 29]', '[619, 619, -5*w - 11]', '[641, 641, w^2 + 2*w - 17]', '[643, 643, 4*w - 5]', '[647, 647, 5*w^2 - 3*w - 37]', '[653, 653, 3*w^2 - 10*w + 5]', '[653, 653, -5*w + 13]', '[653, 653, 3*w^2 + 2*w - 19]', '[659, 659, -w - 9]', '[661, 661, w^2 - 4*w - 7]', '[661, 661, -4*w - 13]', '[661, 661, -3*w^2 + 6*w + 11]', '[673, 673, -6*w^2 + 14*w + 9]', '[677, 677, -3*w^2 + 5*w + 5]', '[683, 683, 2*w^2 - 3*w - 19]', '[709, 709, 4*w^2 - 3*w - 29]', '[719, 719, 6*w - 1]', '[727, 727, -w^2 - 7*w - 9]', '[733, 733, -3*w^2 - 1]', '[739, 739, -11*w^2 + 2*w + 91]', '[743, 743, 3*w^2 + 3*w - 11]', '[761, 761, 4*w^2 - 13*w + 1]', '[769, 769, 12*w^2 - 2*w - 95]', '[773, 773, -7*w^2 + 15*w + 5]', '[787, 787, w^2 - 4*w + 7]', '[811, 811, 8*w^2 - 2*w - 67]', '[811, 811, 9*w + 1]', '[811, 811, w^2 + 3*w - 9]', '[821, 821, -5*w - 9]', '[823, 823, 5*w - 3]', '[839, 839, -w^2 + 7*w - 1]', '[841, 29, 6*w^2 - w - 43]', '[853, 853, 3*w^2 + 2*w - 13]', '[853, 853, 3*w^2 - 3*w - 13]', '[853, 853, -w^2 + w - 5]', '[857, 857, 4*w^2 - 15*w - 3]', '[859, 859, 3*w^2 + w - 15]', '[877, 877, 3*w^2 - 3*w - 23]', '[883, 883, -6*w - 5]', '[883, 883, 9*w^2 - 2*w - 75]', '[883, 883, w^2 - 6*w - 5]', '[911, 911, 3*w^2 - 3*w - 25]', '[919, 919, -5*w^2 + 11*w + 7]', '[929, 929, 2*w^2 - 6*w - 7]', '[937, 937, 4*w^2 - 3*w - 33]', '[941, 941, 4*w^2 - 3*w - 39]', '[947, 947, 6*w^2 - 21*w - 5]', '[947, 947, 5*w^2 - 7*w - 3]', '[947, 947, 6*w^2 - 3*w - 41]', '[967, 967, w^2 - 4*w - 13]', '[991, 991, 4*w^2 + 3*w - 23]', '[997, 997, 4*w^2 - 5*w - 3]']}
61. label: 3.3.1957.1
    {'degree': 3, 'discriminant': 1957, 'ideals': ['[1, 1, 1]', '[2, 2, w^2]', '[4, 2, w^2 + w + 1]', '[4, 4, -w + 2]', '[5, 5, w]', '[8, 2, 2]', '[8, 8, w^2 + w + 6]', '[10, 10, w]', '[11, 11, 10*w + 4]', '[13, 13, 12*w^2 + w + 7]', '[16, 4, 2*w]', '[16, 4, -w^2 - w + 7]', '[16, 16, w + 2]', '[17, 17, w + 1]', '[17, 17, 16*w^2 + 16]', '[17, 17, 16*w^2 + 16*w + 8]', '[19, 19, 18*w^2 + 18*w + 1]', '[19, 19, -w^2 + 7]', '[20, 10, -w^2 - w + 5]', '[20, 20, 19*w + 10]', '[22, 22, -w + 4]', '[25, 5, 4*w^2 + w + 4]', '[25, 25, -w^2 - 2*w + 5]', '[26, 26, -w^2 - w + 4]', '[27, 3, -3]', '[29, 29, w + 7]', '[32, 4, 2*w^2 + 2*w + 2]', '[32, 8, -2*w + 4]', '[32, 32, 31*w + 14]', '[34, 34, w + 4]', '[34, 34, w^2 + 33*w + 32]', '[34, 34, -w^2 - w + 8]', '[38, 38, w^2 + w + 20]', '[38, 38, -w^2 + 6]', '[40, 10, 2*w^2 + 2*w]', '[40, 40, -w^2 - w + 10]', '[41, 41, 40*w^2 + 18]', '[43, 43, w^2 - 11]', '[44, 22, -w^2 - w + 9]', '[44, 44, w^2 + w + 2]', '[47, 47, 2*w^2 + 2*w - 13]', '[50, 10, -w^2 + w + 4]', '[50, 50, w + 10]', '[52, 26, -w^2 + w + 7]', '[52, 52, 51*w^2 + w + 46]', '[54, 6, 3*w]', '[55, 55, -w^2 + 5]', '[58, 58, w^2 + 2*w - 6]', '[59, 59, w^2 - 3]', '[64, 4, 4]', '[64, 8, w^2 + 5*w + 5]', '[64, 16, 14*w^2 + 14*w + 4]', '[64, 64, -w^2 + 4]', '[65, 65, -w + 5]', '[68, 34, w^2 + 3*w + 19]', '[68, 34, -w^2 + w + 3]', '[68, 34, w^2 + 3*w - 3]', '[68, 68, -w^2 + w + 2]', '[68, 68, 67*w^2 + 16]', '[68, 68, w^2 + w + 26]', '[73, 73, w^2 + 2*w - 1]', '[76, 38, w^2 + w - 1]', '[76, 38, 37*w^2 + 35*w + 21]', '[76, 76, -w^2 + 2*w + 4]', '[76, 76, w^2 + 75*w + 46]', '[79, 79, w^2 + 37]', '[80, 20, 2*w]', '[80, 20, w^2 + w + 5]', '[80, 80, w^2 + 79*w + 10]', '[82, 82, -w^2 + w + 8]', '[85, 85, w^2 + w]', '[85, 85, 2*w + 5]', '[85, 85, -2*w^2 + 15]', '[86, 86, 85*w^2 + 85*w + 76]', '[88, 22, 2*w^2 + 12]', '[88, 88, -2*w^2 - w + 14]', '[94, 94, w + 6]', '[95, 95, w + 5]', '[95, 95, 94*w^2 + w + 15]', '[97, 97, w^2 + 2*w - 7]', '[100, 10, -w^2 + w + 9]', '[100, 20, 19*w^2 + 16*w + 4]', '[100, 50, w^2 + w + 35]', '[100, 100, -w^2 + w + 10]', '[101, 101, 3*w^2 + 2*w - 21]', '[103, 103, 2*w^2 + 2*w - 11]', '[103, 103, w + 85]', '[104, 26, 24*w^2 + 24]', '[104, 104, -w^2 + 12]', '[107, 107, w^2 + 88]', '[108, 6, 3*w^2 + 3*w + 3]', '[108, 12, 3*w - 6]', '[109, 109, 2*w + 7]', '[109, 109, w^2 + 108*w + 47]', '[109, 109, w + 93]', '[110, 110, 109*w^2 + 60]', '[113, 113, -2*w - 1]', '[113, 113, 112*w^2 + w + 59]', '[113, 113, w^2 + 112*w + 70]', '[116, 58, -w^2 - 3*w - 1]', '[116, 116, w^2 + w + 74]', '[118, 118, 117*w^2 + 62]', '[121, 11, 10*w^2 + 8*w + 8]', '[121, 121, -2*w^2 - 3*w + 11]', '[125, 5, 5]', '[125, 125, w + 10]', '[128, 8, 4*w]', '[128, 8, -2*w^2 - 2*w + 14]', '[128, 32, 2*w + 4]', '[128, 128, w + 114]', '[130, 130, w^2 + w + 100]', '[135, 15, 12*w^2]', '[136, 34, 2*w + 2]', '[136, 34, 32*w^2 + 2*w + 6]', '[136, 34, 2*w + 22]', '[136, 136, 135*w + 118]', '[136, 136, -w^2 - 2*w + 8]', '[136, 136, -w + 6]', '[143, 143, 2*w + 3]', '[145, 145, -2*w^2 - 5*w + 5]', '[146, 146, 145*w^2 + w + 100]', '[152, 38, 2*w^2 + 2*w + 36]', '[152, 38, -2*w^2 + 14]', '[152, 152, w^2 + 151*w + 42]', '[152, 152, -w^2 + 3*w + 2]', '[157, 157, 2*w^2 + w - 13]', '[158, 158, -w^2 + 3*w - 4]', '[160, 20, -2*w^2 - 2*w + 10]', '[160, 40, 38*w^2 + 38*w + 20]', '[160, 160, w^2 + 2*w]', '[164, 82, -3*w^2 - 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5*w - 44]', '[1598, 1598, 12*w^2 + 13*w - 72]', '[1600, 20, 16*w^2 + 4*w + 16]', '[1600, 40, w^2 - 11*w + 21]', '[1600, 80, -4*w^2 + 14*w - 4]', '[1600, 100, -4*w^2 - 8*w + 20]', '[1600, 200, w^2 + 197*w + 45]', '[1600, 320, w^2 + 319*w + 266]', '[1600, 400, 398*w^2 + 200]', '[1600, 1600, 3*w^2 + 9*w - 10]', '[1604, 802, 801*w^2 + w + 601]', '[1604, 1604, 3*w^2 - 4*w - 8]', '[1606, 1606, w^2 + 6]', '[1607, 1607, 4*w^2 - 2*w - 39]', '[1609, 1609, 1608*w + 1052]', '[1615, 1615, w^2 + 6*w + 5]', '[1615, 1615, 1614*w^2 + 1614*w + 875]', '[1615, 1615, w^2 + w + 1025]', '[1615, 1615, 1614*w^2 + w + 1345]', '[1615, 1615, -4*w^2 - 4*w + 15]', '[1615, 1615, -2*w^2 + 6*w + 5]', '[1616, 404, 5*w^2 - 7*w - 67]', '[1616, 404, 402*w^2 + 402*w + 240]', '[1616, 1616, 11*w^2 + 10*w - 72]', '[1618, 1618, 7*w - 4]', '[1619, 1619, 1618*w + 600]', '[1625, 65, 5*w^2 + 5*w + 45]', '[1625, 1625, -2*w^2 - 6*w + 15]', '[1627, 1627, 2*w^2 - 3*w - 23]', '[1634, 1634, w^2 + 1494]', '[1634, 1634, 7*w^2 + w - 56]', '[1636, 818, 817*w^2 + w + 87]', '[1636, 1636, 5*w^2 - 5*w - 26]', '[1637, 1637, w + 1163]', '[1640, 410, -4*w^2 - 4*w + 30]', '[1640, 1640, 1639*w^2 + 100]', '[1642, 1642, w^2 + w + 1262]', '[1642, 1642, 1641*w^2 + 1296]', '[1642, 1642, 1641*w^2 + w + 1550]', '[1646, 1646, -w^2 + 5*w - 12]', '[1648, 412, -w^2 - 9*w - 17]', '[1648, 412, 410*w^2 + 410*w + 320]', '[1648, 412, 411*w^2 + 3*w + 167]', '[1648, 412, 4*w^2 - 2*w - 24]', '[1648, 1648, 8*w^2 + 11*w - 42]', '[1648, 1648, w^2 + w + 894]', '[1649, 1649, 1648*w^2 + 50]', '[1649, 1649, 1648*w + 1094]', '[1649, 1649, 4*w^2 + 4*w - 17]', '[1663, 1663, 2*w^2 - 3*w - 17]', '[1664, 104, -4*w^2 - 4*w + 16]', '[1664, 104, 102*w^2 + 94*w + 22]', '[1664, 416, 2*w^2 + 184]', '[1664, 1664, 3*w^2 + 4*w - 4]', '[1667, 1667, 1666*w^2 + 928]', '[1669, 1669, w^2 + 586]', '[1670, 1670, w + 400]', '[1672, 418, -4*w^2 + 2*w + 34]', '[1672, 418, 416*w^2 + 2*w + 68]', '[1672, 1672, w^2 + 1671*w + 274]', '[1672, 1672, 5*w + 2]', '[1678, 1678, 5*w^2 + 3*w - 44]', '[1681, 41, w^2 + 9*w + 40]', '[1681, 1681, 3*w^2 - 13]', '[1682, 58, w^2 - 8*w + 18]', '[1682, 1682, 1681*w^2 + w + 694]', '[1684, 842, w^2 + 3*w + 205]', '[1684, 1684, w^2 - 4*w - 8]', '[1685, 1685, w^2 + 1684*w + 1395]', '[1690, 130, w^2 + 4*w + 50]', '[1690, 1690, -3*w^2 + 10]', '[1700, 170, -w^2 + w + 19]', '[1700, 170, w^2 + 9*w + 71]', '[1700, 170, 169*w^2 + 151*w + 99]', '[1700, 340, 339*w^2 + 331*w + 94]', '[1700, 340, -4*w^2 - w + 26]', '[1700, 340, -3*w^2 + 3*w + 22]', '[1700, 850, w^2 + 849*w + 15]', '[1700, 850, w^2 + 7*w - 5]', '[1700, 850, -5*w^2 - 3*w + 45]', '[1700, 1700, w^2 + w + 1110]', '[1700, 1700, w + 810]', '[1700, 1700, -w^2 + 2*w + 20]', '[1706, 1706, w^2 + 6*w - 22]', '[1706, 1706, 1705*w^2 + w + 1320]', '[1706, 1706, 5*w^2 - 15*w + 4]', '[1709, 1709, w + 1477]', '[1711, 1711, 1710*w + 660]', '[1712, 428, -6*w - 16]', '[1712, 428, 427*w^2 + 423*w + 291]', '[1712, 1712, w^2 + w + 590]', '[1714, 1714, w^2 + 1713*w + 124]', '[1715, 35, 7*w^2 + 7*w]', '[1717, 1717, w^2 + w + 587]', '[1717, 1717, w + 1075]', '[1717, 1717, 8*w^2 + 8*w - 51]', '[1718, 1718, 5*w^2 + 8*w - 26]', '[1720, 430, 2*w^2 + 2*w + 20]', '[1720, 1720, 10*w^2 + 3*w - 90]', '[1721, 1721, w^2 - 6*w - 1]', '[1724, 862, 861*w^2 + w + 747]', '[1724, 1724, -3*w^2 - 4*w + 24]', '[1726, 1726, w^2 - 5*w - 4]', '[1726, 1726, 1725*w^2 + 1725*w + 970]', '[1726, 1726, -3*w^2 + 4*w + 18]', '[1727, 1727, w^2 + 1726*w + 846]', '[1728, 12, 12]', '[1728, 24, 21*w^2 + 9*w + 9]', '[1728, 48, 42*w^2 + 42*w + 12]', '[1728, 192, 3*w^2 - 12]', '[1732, 866, 5*w^2 + 3*w - 33]', '[1732, 866, -w^2 + w - 7]', '[1732, 866, 865*w^2 + 863*w + 93]', '[1732, 1732, w^2 + w + 114]', '[1732, 1732, 3*w^2 - 2*w - 12]', '[1732, 1732, 1731*w^2 + w + 1210]', '[1733, 1733, 3*w^2 - 11]', '[1735, 1735, w^2 + 650]', '[1735, 1735, w + 810]', '[1735, 1735, 1734*w^2 + 1734*w + 1675]', '[1738, 1738, 1737*w^2 + w + 606]', '[1741, 1741, 1740*w^2 + w + 1097]', '[1744, 436, 434*w^2 + 188]', '[1744, 436, -2*w^2 - 6*w + 32]', '[1744, 436, -3*w^2 + w + 13]', '[1744, 436, w^2 + 5*w + 225]', '[1744, 436, 435*w^2 + 3*w + 99]', '[1744, 436, 2*w^2 - 4*w - 12]', '[1744, 1744, w^2 + w + 942]', '[1744, 1744, w^2 - 2*w + 8]', '[1744, 1744, 1743*w^2 + w + 22]', '[1745, 1745, -3*w^2 + 4*w + 5]', '[1751, 1751, 6*w^2 + 9*w - 31]', '[1751, 1751, w^2 + 1427]', '[1751, 1751, 1750*w^2 + w + 1363]', '[1751, 1751, -2*w^2 - 4*w - 1]', '[1751, 1751, w^2 + w + 1488]', '[1751, 1751, 2*w^2 + 5*w - 17]', '[1754, 1754, -w - 12]', '[1754, 1754, w + 1222]', '[1754, 1754, 3*w^2 - w - 8]', '[1755, 195, 3*w - 15]', '[1759, 1759, w^2 + 1257]', '[1759, 1759, w^2 + 6*w - 1]', '[1759, 1759, w^2 + 1758*w + 754]', '[1760, 220, 2*w^2 + 6*w + 10]', '[1760, 440, -2*w^2 + 8*w]', '[1760, 1760, 1759*w^2 + 1380]', '[1762, 1762, w^2 + 1640]', '[1763, 1763, w^2 + 720]', '[1765, 1765, 1764*w + 1345]', '[1766, 1766, -w^2 + 6*w - 14]', '[1766, 1766, 3*w^2 - 4*w - 6]', '[1766, 1766, 1765*w^2 + 1164]', '[1768, 442, 2*w^2 + 2]', '[1768, 442, 440*w + 270]', '[1768, 442, -8*w + 14]', '[1768, 1768, w + 242]', '[1768, 1768, -2*w^2 + 3*w + 22]', '[1768, 1768, w^2 + 1767*w + 786]', '[1772, 886, w^2 + w + 187]', '[1772, 1772, 2*w^2 - 3*w - 18]', '[1774, 1774, -w^2 - 2*w - 6]', '[1777, 1777, w^2 + w + 819]', '[1783, 1783, 6*w^2 + 3*w - 43]', '[1783, 1783, 1782*w^2 + 1782*w + 862]', '[1783, 1783, 1782*w^2 + 1302]', '[1784, 446, 2*w^2 + 2*w + 12]', '[1784, 1784, 8*w^2 - w - 74]', '[1786, 1786, 3*w^2 - 4*w - 38]', '[1786, 1786, w^2 + w + 628]', '[1787, 1787, w^2 + w + 252]', '[1787, 1787, 4*w^2 - 3*w - 29]', '[1787, 1787, w^2 + 244]', '[1789, 1789, 5*w + 11]', '[1790, 1790, 1789*w + 1720]', '[1795, 1795, w^2 + 835]', '[1795, 1795, 4*w^2 - 2*w - 35]', '[1795, 1795, 5*w^2 + 2*w - 35]', '[1801, 1801, w^2 - 4*w - 17]', '[1804, 902, w^2 + 3*w + 731]', '[1804, 1804, -4*w^2 + 5*w + 22]', '[1805, 95, 94*w^2 + 66*w + 70]', '[1805, 95, -2*w^2 - 7*w + 15]', '[1805, 1805, 1804*w + 1170]', '[1808, 452, 2*w^2 - 4*w - 28]', '[1808, 452, 4*w^2 + 2*w - 24]', '[1808, 452, 5*w^2 + 5*w - 27]', '[1808, 452, 451*w^2 + 451*w + 375]', '[1808, 452, 2*w^2 + 56]', '[1808, 452, w^2 + w + 157]', '[1808, 1808, -2*w^2 - 5*w - 2]', '[1808, 1808, 1807*w^2 + w + 1302]', '[1808, 1808, w^2 + 1807*w + 522]', '[1811, 1811, 2*w^2 - w - 27]', '[1811, 1811, 5*w^2 + 6*w - 23]', '[1811, 1811, -6*w^2 - 5*w + 43]', '[1814, 1814, w + 298]', '[1816, 454, 4*w^2 - 26]', '[1816, 454, 2*w^2 + 452*w + 420]', '[1816, 454, 452*w^2 + 334]', '[1816, 1816, w^2 - 5*w - 22]', '[1816, 1816, 1815*w + 1318]', '[1816, 1816, 3*w^2 - 16*w + 12]', '[1819, 1819, w^2 - 19]', '[1819, 1819, 4*w^2 + 5*w - 27]', '[1819, 1819, w^2 + w + 697]', '[1823, 1823, 1822*w^2 + 1822*w + 1583]', '[1825, 365, w^2 + 4*w + 211]', '[1825, 1825, -12*w^2 - 23*w + 45]', '[1828, 914, w^2 + 913*w + 27]', '[1828, 1828, w^2 + 7*w - 26]', '[1831, 1831, 6*w - 1]', '[1836, 102, 99*w^2 + 93*w + 45]', '[1836, 102, 3*w^2 - 3*w - 9]', '[1836, 102, -3*w^2 - 9*w + 9]', '[1836, 204, 3*w^2 - 3*w - 6]', '[1836, 204, 201*w + 90]', '[1836, 204, 3*w + 186]', '[1837, 1837, 6*w^2 + 3*w - 53]', '[1838, 1838, 3*w^2 - w - 12]', '[1843, 1843, 2*w^2 - 3*w - 19]', '[1843, 1843, w + 1525]', '[1847, 1847, 2*w^2 - 3*w - 21]', '[1849, 43, 4*w^2 - 2*w - 37]', '[1849, 1849, w^2 - 4*w - 9]', '[1852, 926, 3*w^2 + 5*w - 21]', '[1852, 1852, 1851*w + 214]', '[1853, 1853, 1852*w^2 + w + 479]', '[1853, 1853, 1852*w^2 + w + 370]', '[1853, 1853, 2*w^2 + 9*w + 7]', '[1853, 1853, 5*w + 3]', '[1853, 1853, -3*w^2 + 2*w + 11]', '[1853, 1853, 8*w - 19]', '[1853, 1853, w + 1701]', '[1853, 1853, -2*w^2 - 2*w - 1]', '[1853, 1853, w^2 + 1852*w + 1613]', '[1856, 116, 4*w^2 + 36]', '[1856, 232, 3*w^2 - w - 9]', '[1856, 464, -2*w^2 + 2*w - 4]', '[1856, 1856, 1855*w^2 + w + 694]', '[1859, 143, 5*w^2 - 6*w - 23]', '[1859, 1859, w + 645]', '[1861, 1861, w^2 + w + 1630]', '[1864, 466, 2*w + 180]', '[1864, 1864, w^2 + 7*w - 14]', '[1865, 1865, w^2 + 170]', '[1870, 1870, -5*w^2 - 4*w + 30]', '[1870, 1870, -2*w^2 + 3*w + 20]', '[1870, 1870, w + 1140]', '[1874, 1874, 1873*w + 1474]', '[1877, 1877, 1876*w^2 + 1876*w + 707]', '[1880, 470, 2*w^2 + 210]', '[1880, 1880, 7*w^2 - w - 70]', '[1882, 1882, w^2 + 1362]', '[1885, 1885, 1884*w^2 + 1884*w + 680]', '[1888, 236, 234*w^2 + 2*w + 102]', '[1888, 472, 2*w^2 - 12*w + 8]', '[1888, 1888, 1887*w^2 + 1124]', '[1892, 946, 9*w^2 + 3*w - 79]', '[1892, 1892, w^2 + 1891*w + 54]', '[1894, 1894, w + 290]', '[1895, 1895, w^2 + 1894*w + 1820]', '[1895, 1895, 8*w^2 + 12*w - 35]', '[1895, 1895, 3*w^2 + 4*w - 25]', '[1898, 1898, -10*w^2 - 17*w + 36]', '[1900, 190, 189*w^2 + 181*w + 189]', '[1900, 190, -3*w^2 + 3*w + 7]', '[1900, 380, 379*w^2 + 371*w + 334]', '[1900, 380, -w^2 - 4*w + 24]', '[1900, 950, 949*w^2 + 947*w + 895]', '[1900, 950, -5*w^2 + w + 35]', '[1900, 1900, -3*w^2 + w + 10]', '[1900, 1900, 1899*w^2 + w + 410]', '[1901, 1901, w^2 + 1900*w + 347]', '[1906, 1906, 5*w^2 + w - 36]', '[1907, 1907, 3*w^2 + 6*w - 19]', '[1910, 1910, 1909*w^2 + w + 70]', '[1913, 1913, 1912*w^2 + 1678]', '[1916, 958, 957*w^2 + 955*w + 943]', '[1916, 1916, 3*w^2 - 11*w + 2]', '[1919, 1919, 10*w^2 - w - 97]', '[1919, 1919, 1918*w^2 + 690]', '[1921, 1921, 2*w^2 + w - 27]', '[1921, 1921, 1920*w^2 + w + 1611]', '[1921, 1921, 4*w^2 + 4*w - 31]', '[1921, 1921, w + 735]', '[1921, 1921, w + 1004]', '[1921, 1921, 6*w^2 + 11*w - 27]', '[1921, 1921, w + 1650]', '[1921, 1921, -2*w^2 - 3*w - 1]', '[1921, 1921, w - 13]', '[1927, 1927, w^2 + 1926*w + 1509]', '[1928, 482, 480*w^2 + 2*w + 160]', '[1928, 482, 480*w^2 + 2*w + 274]', '[1928, 482, 2*w - 14]', '[1928, 1928, 3*w^2 - 2*w - 8]', '[1928, 1928, 1927*w^2 + 772]', '[1928, 1928, -3*w - 14]', '[1930, 1930, 1929*w + 1510]', '[1930, 1930, 1929*w + 780]', '[1930, 1930, 3*w^2 - 2*w - 10]', '[1933, 1933, w^2 + w + 607]', '[1934, 1934, w^2 + 1778]', '[1936, 44, 43*w^2 + 19*w + 19]', '[1936, 44, 2*w^2 + 6*w - 16]', '[1936, 176, 175*w^2 + 173*w + 30]', '[1936, 484, 2*w^2 + 482*w + 64]', '[1936, 484, -w^2 + 7*w - 1]', '[1936, 1936, -5*w^2 + 36]', '[1940, 970, -3*w^2 - 9*w + 5]', '[1940, 1940, w^2 + 1939*w + 850]', '[1945, 1945, 8*w - 15]', '[1948, 974, 973*w^2 + 971*w + 901]', '[1948, 974, w^2 + 3*w + 277]', '[1948, 974, w^2 + 973*w + 97]', '[1948, 1948, 2*w^2 - 9*w + 2]', '[1948, 1948, 4*w^2 - 15*w + 6]', '[1948, 1948, 2*w^2 + 5*w - 18]', '[1949, 1949, 4*w - 17]', '[1951, 1951, -w^2 - 6*w - 1]', '[1954, 1954, w^2 + 1418]', '[1957, 1957, w^2 + 1956*w + 388]', '[1957, 1957, 1956*w + 1151]', '[1957, 1957, 8*w^2 + 3*w - 71]', '[1957, 1957, 3*w^2 - 2*w - 37]', '[1966, 1966, -w^2 - 6*w - 2]', '[1969, 1969, w^2 - 4*w + 11]', '[1970, 1970, 4*w^2 + 9*w - 20]', '[1971, 219, 3*w^2 + 6*w - 3]', '[1972, 986, 985*w^2 + 985*w + 709]', '[1972, 986, w^2 + 3*w + 813]', '[1972, 986, -5*w^2 - 13*w + 9]', '[1972, 1972, -w^2 - 4*w - 8]', '[1972, 1972, 7*w^2 + 11*w - 34]', '[1972, 1972, 1971*w^2 + w + 1158]', '[1973, 1973, w^2 + 1972*w + 1640]', '[1973, 1973, 1972*w^2 + w + 1620]', '[1973, 1973, 2*w^2 - 5*w - 9]', '[1975, 395, 2*w^2 - 7*w - 3]', '[1975, 1975, 1974*w^2 + 200]', '[1976, 494, 492*w^2 + 492*w + 112]', '[1976, 494, -4*w^2 - 4*w + 42]', '[1976, 1976, 1975*w + 1838]', '[1976, 1976, -w^2 - 6*w + 16]', '[1982, 1982, w^2 + 1981*w + 944]', '[1985, 1985, 4*w^2 + w - 25]', '[1987, 1987, 6*w^2 + 4*w - 47]', '[1987, 1987, -5*w^2 + 2*w + 33]', '[1987, 1987, -2*w - 13]', '[1990, 1990, w^2 - 4*w - 10]', '[1994, 1994, -3*w^2 - 9*w + 8]', '[1996, 998, w^2 + 997*w + 177]', '[1996, 1996, -w^2 + 4*w + 16]', '[1999, 1999, w^2 + 1998*w + 172]', '[2000, 20, 10*w^2]', '[2000, 20, -5*w^2 + 15*w - 5]', '[2000, 80, -5*w^2 + 5*w + 30]', '[2000, 500, -6*w^2 - 6*w + 40]', '[2000, 500, w^2 + 5*w + 325]', '[2000, 2000, 1999*w^2 + w + 1110]', '[2003, 2003, 2002*w^2 + w + 1378]', '[2005, 2005, w^2 + 10]', '[2006, 2006, -5*w - 4]', '[2006, 2006, 5*w^2 + 6*w - 22]', '[2006, 2006, w^2 + 764]', '[2008, 502, 8*w^2 + 6*w - 54]', '[2008, 2008, 2007*w^2 + 2007*w + 274]', '[2011, 2011, 2*w^2 + 5*w - 27]', '[2012, 1006, w^2 + 3*w + 519]', '[2012, 1006, 5*w^2 + 7*w - 29]', '[2012, 1006, -w^2 - 3*w - 7]', '[2012, 2012, w^2 + w + 26]', '[2012, 2012, w^2 + w + 1010]', '[2012, 2012, -w^2 + 12*w - 24]', '[2017, 2017, 2016*w^2 + w + 111]', '[2018, 2018, 2017*w^2 + w + 1704]', '[2020, 1010, -w^2 - 11*w - 25]', '[2020, 2020, w^2 + 2019*w + 1770]', '[2021, 2021, 4*w^2 - 3*w - 21]', '[2026, 2026, 4*w^2 - 9*w - 4]', '[2029, 2029, 5*w - 19]', '[2033, 2033, 2032*w^2 + 2032*w + 1443]', '[2033, 2033, 2*w^2 - 4*w - 13]', '[2036, 1018, w^2 + 3*w + 849]', '[2036, 2036, 2*w^2 - 11*w + 6]', '[2038, 2038, 3*w^2 + 4*w - 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3*w - 53]', '[9830, 9830, w^2 + 9320]', '[9832, 2458, 2*w^2 + 408]', '[9832, 2458, 4*w^2 + 8*w - 34]', '[9832, 2458, 2*w^2 + 1906]', '[9832, 9832, 4*w^2 - 7*w - 54]', '[9832, 9832, w^2 + w + 8318]', '[9832, 9832, 3*w^2 + 13*w + 6]', '[9838, 9838, 6*w^2 + 3*w - 28]', '[9839, 9839, 6*w^2 - 9*w - 17]', '[9845, 9845, w^2 + w + 3225]', '[9848, 2462, 2460*w^2 + 1634]', '[9848, 9848, -11*w^2 - 7*w + 86]', '[9850, 1970, -w^2 + w - 16]', '[9850, 9850, 9849*w + 1340]', '[9853, 9853, w^2 + w + 7066]', '[9854, 9854, 9853*w + 8364]', '[9854, 9854, 4*w^2 - 5*w - 36]', '[9854, 9854, w^2 + w + 906]', '[9855, 1095, 1092*w^2 + 3*w + 300]', '[9857, 9857, w^2 + 6752]', '[9859, 9859, w^2 + 51]', '[9860, 4930, w^2 + 3*w + 4235]', '[9860, 4930, -3*w^2 - w - 5]', '[9860, 4930, 7*w^2 + 15*w - 35]', '[9860, 9860, 9*w^2 + 20*w - 40]', '[9860, 9860, w^2 + 5200]', '[9860, 9860, w^2 + 1140]', '[9865, 9865, w^2 + 2*w + 15]', '[9865, 9865, 11*w^2 + 16*w - 45]', '[9865, 9865, 9864*w + 680]', '[9866, 9866, 2*w^2 - 7*w - 16]', '[9872, 2468, 2*w^2 + 2466*w + 444]', '[9872, 2468, -3*w^2 - 11*w - 11]', '[9872, 9872, 10*w^2 + 13*w - 46]', '[9874, 9874, 5*w^2 - 18*w + 2]', '[9875, 395, 5*w^2 + 185]', '[9875, 9875, -2*w^2 - 9*w - 15]', '[9880, 2470, -8*w^2 + 4*w + 50]', '[9880, 2470, 2468*w^2 + 2468*w + 1750]', '[9880, 9880, 9879*w + 8390]', '[9880, 9880, 3*w^2 + 13*w - 10]', '[9881, 9881, w^2 + w + 4523]', '[9881, 9881, -12*w^2 - 8*w + 91]', '[9881, 9881, 4*w^2 + 2*w - 51]', '[9883, 9883, w^2 + 9882*w + 6823]', '[9887, 9887, 2*w^2 + 11*w - 3]', '[9892, 4946, w^2 + w + 951]', '[9892, 9892, 3*w^2 + 15*w - 26]', '[9893, 9893, 6*w^2 + 5*w - 71]', '[9896, 2474, 8*w^2 + 6*w - 78]', '[9896, 9896, w^2 + w + 3438]', '[9901, 9901, w + 2901]', '[9907, 9907, 9906*w^2 + w + 6961]', '[9908, 4954, w^2 + 4953*w + 4885]', '[9908, 9908, 6*w^2 - 11*w - 2]', '[9910, 9910, -2*w^2 - 5*w + 40]', '[9922, 902, 901*w^2 + 888*w + 404]', '[9922, 9922, -9*w^2 - 6*w + 58]', '[9923, 9923, 9922*w^2 + 1368]', '[9925, 1985, -9*w^2 + 4*w + 71]', '[9925, 9925, w^2 + 7425]', '[9928, 2482, 2480*w^2 + 134]', '[9928, 2482, 8*w^2 + 20*w - 22]', '[9928, 2482, 2480*w + 80]', '[9928, 9928, -9*w^2 - 17*w + 42]', '[9928, 9928, 3*w^2 + 4*w + 4]', '[9928, 9928, 9927*w^2 + w + 9590]', '[9931, 9931, 9930*w^2 + 9930*w + 2117]', '[9931, 9931, 4*w^2 - 11*w - 11]', '[9931, 9931, 9930*w + 1088]', '[9932, 4966, 4965*w^2 + 4965*w + 173]', '[9932, 9932, -8*w^2 - 13*w + 18]', '[9934, 9934, 6*w^2 + w - 16]', '[9935, 9935, 9934*w^2 + 3025]', '[9935, 9935, 9934*w^2 + 6500]', '[9935, 9935, w^2 + w + 8450]', '[9937, 9937, 10*w^2 + 13*w - 33]', '[9937, 9937, w^2 + 9936*w + 3405]', '[9938, 9938, 9937*w^2 + 9937*w + 8440]', '[9941, 9941, w^2 + 9940*w + 548]', '[9944, 2486, 6*w^2 - 4*w - 58]', '[9944, 2486, 2*w + 2148]', '[9944, 2486, 6*w^2 + 12*w - 34]', '[9944, 9944, 8*w^2 + 9*w - 54]', '[9944, 9944, w + 5298]', '[9944, 9944, w + 9786]', '[9946, 9946, -8*w^2 - 7*w + 44]', '[9947, 203, 196*w^2 + 140]', '[9949, 9949, 11*w^2 + 10*w - 67]', '[9950, 1990, 8*w^2 - 3*w - 52]', '[9950, 9950, w^2 + 9949*w + 9490]', '[9967, 9967, w + 1099]', '[9967, 9967, w^2 + w + 7625]', '[9967, 9967, 6*w^2 + 2*w - 31]', '[9970, 9970, w^2 + 7700]', '[9971, 767, 766*w^2 + 9*w + 730]', '[9971, 9971, -11*w + 3]', '[9973, 9973, 8*w^2 + 2*w - 83]', '[9974, 9974, 9973*w^2 + 7152]', '[9976, 2494, 2*w^2 + 1526]', '[9976, 9976, -w + 22]', '[9977, 9977, 9976*w^2 + w + 1123]', '[9980, 4990, 5*w^2 + 23*w + 25]', '[9980, 9980, 9979*w^2 + w + 6310]', '[9986, 9986, w^2 + 11*w - 4]', '[9988, 4994, 9*w^2 - 3*w - 77]', '[9988, 4994, 4993*w^2 + 4993*w + 1263]', '[9988, 4994, 4993*w^2 + 4991*w + 3427]', '[9988, 9988, 7*w^2 - 18*w + 4]', '[9988, 9988, 7*w^2 + 14*w - 36]', '[9988, 9988, w + 7762]', '[9991, 9991, 6*w^2 - 6*w - 41]', '[9991, 9991, w^2 + 9990*w + 2887]', '[9992, 2498, 2*w^2 + 2496*w + 116]', '[9992, 9992, -3*w^2 + 24*w - 28]', '[9994, 9994, 3*w^2 + 9*w - 44]', '[9994, 9994, w + 8840]', '[9995, 9995, 3*w^2 - 6*w - 25]', '[9997, 9997, 6*w^2 - 3*w - 31]', '[9998, 9998, -9*w - 4]', '[10000, 100, 10*w]', '[10000, 100, 9*w^2 + w - 91]', '[10000, 100, 5*w^2 + 85*w + 25]', '[10000, 100, 2*w^2 + 78*w + 52]', '[10000, 400, 9*w^2 + w - 66]', '[10000, 400, 5*w + 250]', '[10000, 2500, 2*w + 520]', '[10000, 2500, -5*w^2 - 9*w + 35]', '[10000, 10000, w^2 + 10*w]'], 'label': '3.3.1957.1', 'narrow_class_no': 4, 'primes': ['[2, 2, w^2]', '[4, 2, w^2 + w + 1]', '[5, 5, w]', '[11, 11, 10*w + 4]', '[13, 13, 12*w^2 + w + 7]', '[17, 17, w + 1]', '[17, 17, 16*w^2 + 16]', '[17, 17, 16*w^2 + 16*w + 8]', '[19, 19, 18*w^2 + 18*w + 1]', '[19, 19, -w^2 + 7]', '[25, 5, 4*w^2 + w + 4]', '[27, 3, -3]', '[29, 29, w + 7]', '[41, 41, 40*w^2 + 18]', '[43, 43, w^2 - 11]', '[47, 47, 2*w^2 + 2*w - 13]', '[59, 59, w^2 - 3]', '[73, 73, w^2 + 2*w - 1]', '[79, 79, w^2 + 37]', '[97, 97, w^2 + 2*w - 7]', '[101, 101, 3*w^2 + 2*w - 21]', '[103, 103, 2*w^2 + 2*w - 11]', '[103, 103, w + 85]', '[107, 107, w^2 + 88]', '[109, 109, 2*w + 7]', '[109, 109, w^2 + 108*w + 47]', '[109, 109, w + 93]', '[113, 113, -2*w - 1]', '[113, 113, 112*w^2 + w + 59]', '[113, 113, w^2 + 112*w + 70]', '[121, 11, 10*w^2 + 8*w + 8]', '[157, 157, 2*w^2 + w - 13]', '[167, 167, w^2 + 153]', '[169, 13, 12*w^2 + 9*w + 2]', '[179, 179, w^2 + 112]', '[191, 191, w^2 + 165]', '[193, 193, w^2 + w + 36]', '[193, 193, w^2 + 2*w - 11]', '[193, 193, w^2 + w + 121]', '[197, 197, 2*w^2 + 2*w - 9]', '[199, 199, w^2 - 13]', '[223, 223, w + 187]', '[227, 227, 2*w^2 - 13]', '[227, 227, w^2 + w + 99]', '[227, 227, w^2 + 60]', '[233, 233, 232*w^2 + 178]', '[241, 241, w + 85]', '[241, 241, w^2 + 240*w + 104]', '[241, 241, w - 7]', '[251, 251, 4*w^2 + 3*w - 27]', '[263, 263, w^2 + 116]', '[269, 269, 268*w + 104]', '[271, 271, w + 72]', '[277, 277, w^2 + 276*w + 88]', '[283, 283, w^2 + 4*w - 3]', '[307, 307, 2*w^2 - w - 11]', '[307, 307, w + 133]', '[307, 307, 306*w^2 + w + 284]', '[317, 317, 2*w^2 - 4*w - 3]', '[337, 337, w^2 - 2*w - 13]', '[343, 7, -7]', '[347, 347, 3*w - 11]', '[347, 347, -3*w - 1]', '[347, 347, 3*w + 7]', '[349, 349, 348*w^2 + 348*w + 191]', '[353, 353, 2*w^2 + 2*w - 19]', '[359, 359, w^2 + 4*w - 1]', '[359, 359, w^2 + 210]', '[359, 359, 358*w^2 + 346]', '[373, 373, 2*w^2 + w - 9]', '[379, 379, 3*w^2 + 2*w - 29]', '[379, 379, w^2 + w + 148]', '[379, 379, 378*w^2 + 378*w + 323]', '[389, 389, w^2 + w + 25]', '[397, 397, 396*w^2 + 118]', '[401, 401, w^2 - 2*w - 9]', '[409, 409, 4*w^2 - w - 33]', '[421, 421, 3*w^2 + 2*w - 19]', '[431, 431, -w^2 + 2*w + 17]', '[433, 433, 432*w^2 + 79]', '[433, 433, w^2 + 432*w + 7]', '[433, 433, w^2 - 2*w - 11]', '[443, 443, 4*w^2 + 2*w - 29]', '[457, 457, 2*w^2 + w - 23]', '[463, 463, 462*w^2 + 422]', '[479, 479, 2*w^2 - w - 9]', '[487, 487, 2*w^2 - 9]', '[487, 487, 2*w^2 - 2*w - 7]', '[487, 487, -2*w - 9]', '[499, 499, -5*w^2 - 4*w + 33]', '[503, 503, w^2 + 2*w - 17]', '[503, 503, 502*w^2 + 502*w + 499]', '[503, 503, 502*w^2 + 216]', '[509, 509, 2*w^2 - 7]', '[523, 523, w^2 + 104]', '[547, 547, 2*w^2 - 3*w - 11]', '[557, 557, 2*w^2 - 23]', '[571, 571, 570*w^2 + 176]', '[571, 571, 2*w^2 - w - 7]', '[571, 571, w^2 + 335]', '[577, 577, w - 9]', '[593, 593, 592*w^2 + w + 454]', '[601, 601, -w^2 - 3]', '[601, 601, 600*w^2 + 578]', '[601, 601, 600*w^2 + 45]', '[607, 607, w^2 + 360]', '[617, 617, 2*w^2 + 4*w - 13]', '[641, 641, 640*w^2 + w + 224]', '[653, 653, w + 511]', '[659, 659, 3*w^2 + 4*w - 19]', '[661, 661, w^2 + 4*w - 11]', '[661, 661, 660*w + 380]', '[661, 661, w^2 + 406]', '[673, 673, w^2 + w + 121]', '[677, 677, -3*w^2 + 2*w + 17]', '[691, 691, w^2 + 690*w + 451]', '[701, 701, -4*w^2 - 4*w + 27]', '[701, 701, 700*w^2 + 700*w + 286]', '[701, 701, w^2 + 700*w + 680]', '[709, 709, w^2 + w + 323]', '[709, 709, w^2 - 4*w - 3]', '[709, 709, w^2 + 708*w + 321]', '[719, 719, -w - 9]', '[727, 727, 726*w^2 + 126]', '[733, 733, 2*w^2 + 3*w - 17]', '[743, 743, w^2 + w + 556]', '[743, 743, 2*w^2 - 2*w - 17]', '[743, 743, w + 731]', '[751, 751, 750*w^2 + 750*w + 484]', '[761, 761, w^2 + 760*w + 725]', '[769, 769, w^2 + w + 442]', '[773, 773, 2*w - 11]', '[787, 787, 3*w^2 - 2*w - 23]', '[797, 797, w^2 + w + 454]', '[809, 809, w + 115]', '[821, 821, 2*w^2 - 2*w - 19]', '[821, 821, 2*w^2 + 3*w - 21]', '[821, 821, 4*w^2 + 3*w - 31]', '[823, 823, w^2 + 822*w + 164]', '[839, 839, w^2 + 436]', '[841, 29, w^2 + 21*w + 18]', '[853, 853, 852*w + 654]', '[853, 853, 3*w^2 - 19]', '[853, 853, 852*w^2 + 787]', '[857, 857, 3*w^2 + 8*w - 9]', '[859, 859, 858*w^2 + 85]', '[863, 863, 2*w^2 + 5*w - 13]', '[863, 863, 862*w^2 + 862*w + 92]', '[863, 863, w^2 + 862*w + 118]', '[877, 877, 876*w^2 + 876*w + 132]', '[877, 877, 2*w^2 - 4*w - 9]', '[877, 877, 876*w^2 + w + 641]', '[881, 881, -4*w^2 - w + 29]', '[883, 883, w + 163]', '[883, 883, 4*w + 9]', '[883, 883, w + 496]', '[887, 887, w^2 + 886*w + 311]', '[907, 907, 3*w - 13]', '[919, 919, w^2 + w + 131]', '[937, 937, 4*w^2 - 29]', '[941, 941, 4*w^2 + 5*w - 17]', '[947, 947, 3*w^2 - 2*w - 31]', '[953, 953, w^2 + w + 603]', '[967, 967, 2*w^2 - 3*w - 13]', '[977, 977, -2*w^2 - 7*w + 13]', '[983, 983, 982*w^2 + w + 923]', '[991, 991, -4*w^2 + 2*w + 31]', '[997, 997, w + 645]']}
62. label: 3.3.1944.1
    {'degree': 3, 'discriminant': 1944, 'ideals': ['[1, 1, 1]', '[2, 2, -w^2 + 2*w + 2]', '[2, 2, w + 1]', '[3, 3, w^2 - w - 9]', '[4, 2, -w^2 + w + 8]', '[4, 2, -3*w^2 + 2*w + 25]', '[4, 4, -w - 2]', '[6, 6, w]', '[6, 6, -w - 3]', '[7, 7, w^2 - w - 7]', '[8, 2, 2]', '[8, 4, w^2 - 3*w - 2]', '[8, 4, -w^2 + 7]', '[8, 8, 4*w^2 - 3*w - 34]', '[9, 3, w^2 - 3*w - 3]', '[11, 11, w^2 - w - 1]', '[12, 6, w^2 + w]', '[12, 6, -w^2 + 2*w + 3]', '[12, 12, 2*w^2 - w - 18]', '[13, 13, -2*w - 1]', '[14, 14, -2*w^2 + 5*w + 4]', '[14, 14, w - 1]', '[16, 4, -2*w^2 + 4*w + 4]', '[16, 4, w^2 - 2*w - 5]', '[16, 4, 2*w + 2]', '[16, 8, w^2 - w - 10]', '[16, 16, w - 2]', '[17, 17, -2*w^2 + 6*w + 5]', '[18, 6, -w^2 + 6]', '[18, 6, 4*w^2 - 3*w - 33]', '[21, 21, 4*w + 3]', '[22, 22, -2*w^2 + w + 17]', '[22, 22, -w + 4]', '[24, 6, 2*w^2 - 2*w - 18]', '[24, 12, w^2 - w - 6]', '[24, 12, w^2 - 4*w - 3]', '[24, 24, -w^2 - 2*w]', '[26, 26, -4*w^2 + 3*w + 35]', '[26, 26, -w^2 + 10]', '[27, 3, 3]', '[28, 14, -3*w^2 + 3*w + 28]', '[28, 14, w^2 - 1]', '[28, 28, -w^2 + 8]', '[31, 31, -2*w^2 + 2*w + 19]', '[32, 4, -2*w^2 + 2*w + 16]', '[32, 4, -6*w^2 + 4*w + 50]', '[32, 8, -2*w - 4]', '[32, 8, -w^2 + 2*w + 1]', '[32, 16, w^2 - w - 2]', '[32, 32, -5*w^2 + 4*w + 44]', '[33, 33, -2*w - 3]', '[34, 34, w + 4]', '[34, 34, 2*w^2 - w - 19]', '[36, 6, -w^2 + 3*w]', '[36, 6, w^2 - 9]', '[36, 12, w^2]', '[37, 37, 2*w^2 - 13]', '[39, 39, w^2 + w - 3]', '[41, 41, w^2 - w - 5]', '[42, 42, -w^2 + 2*w + 6]', '[42, 42, -2*w^2 + w + 15]', '[43, 43, 2*w^2 - 2*w - 17]', '[43, 43, -2*w + 7]', '[43, 43, 12*w^2 - 8*w - 101]', '[44, 22, -w^2 + 3*w + 4]', '[44, 22, -w^2 + 5]', '[44, 44, -w^2 - 6*w - 4]', '[48, 12, 2*w]', '[48, 12, -3*w^2 + 2*w + 27]', '[48, 12, -2*w - 6]', '[48, 24, -3*w^2 + 7*w + 6]', '[48, 48, -3*w^2 + 2*w + 24]', '[49, 7, w^2 + w - 1]', '[49, 49, 3*w^2 - w - 23]', '[51, 51, -w^2 + w + 3]', '[52, 26, -w^2 + 2*w + 11]', '[52, 26, -w^2 + w + 4]', '[52, 52, -3*w^2 + 8*w + 8]', '[54, 6, -3*w^2 + 6*w + 6]', '[54, 6, 3*w + 3]', '[56, 14, 2*w^2 - 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183]', '[1896, 1896, 3*w^2 - 2*w]', '[1897, 1897, -13*w^2 + 11*w + 107]', '[1899, 633, -29*w^2 + 21*w + 243]', '[1899, 633, -2*w^2 + 27]', '[1899, 633, -11*w^2 + 9*w + 99]', '[1902, 1902, -2*w^2 + w - 3]', '[1902, 1902, -4*w^2 + 5*w + 9]', '[1902, 1902, -16*w^2 + 11*w + 132]', '[1902, 1902, -10*w^2 + 29*w + 24]', '[1902, 1902, 22*w^2 - 17*w - 192]', '[1902, 1902, -8*w^2 + 19*w + 15]', '[1904, 476, 16*w^2 - 14*w - 142]', '[1904, 476, w^2 - 10*w - 5]', '[1904, 476, 6*w^2 - 4*w - 44]', '[1904, 952, 5*w^2 - 11*w - 22]', '[1904, 1904, 11*w + 10]', '[1906, 1906, 4*w^2 + 5*w - 1]', '[1906, 1906, 6*w^2 - 23*w - 20]', '[1907, 1907, -7*w^2 + 15*w + 23]', '[1911, 273, 6*w^2 + 20*w + 15]', '[1911, 1911, 15*w^2 - 11*w - 123]', '[1913, 1913, 17*w^2 - 13*w - 149]', '[1916, 958, 15*w^2 - 12*w - 127]', '[1916, 958, 7*w^2 - 9*w - 44]', '[1916, 958, 19*w^2 - 51*w - 44]', '[1916, 958, 3*w^2 - 6*w - 1]', '[1916, 958, -5*w^2 + 9*w + 28]', '[1916, 958, -9*w^2 + 6*w + 71]', '[1916, 1916, 10*w^2 - 9*w - 82]', '[1916, 1916, -9*w - 10]', '[1916, 1916, -3*w^2 + 8]', '[1918, 1918, 3*w^2 - 10]', '[1918, 1918, -8*w^2 + 9*w + 55]', '[1921, 1921, -2*w^2 + 10*w - 13]', '[1922, 62, 4*w^2 + w - 28]', '[1922, 62, -18*w^2 + 11*w + 157]', '[1922, 1922, -5*w^2 - 2*w + 26]', '[1922, 1922, 18*w^2 - 13*w - 149]', '[1923, 1923, 22*w + 15]', '[1924, 962, 3*w^2 - 7*w - 40]', '[1924, 962, -23*w^2 + 16*w + 199]', '[1924, 1924, w^2 + 4*w - 8]', '[1926, 642, 5*w^2 - 6*w - 30]', '[1926, 642, 10*w^2 - 9*w - 87]', '[1928, 482, 2*w^2 - 2*w - 26]', '[1928, 482, 2*w^2 + 2*w - 22]', '[1928, 482, 8*w + 2]', '[1928, 964, -3*w^2 + 11*w + 2]', '[1928, 964, 9*w^2 - 8*w - 83]', '[1928, 964, w^2 - 8*w + 13]', '[1928, 964, 11*w^2 - 4*w - 85]', '[1928, 964, -7*w^2 + 19*w + 10]', '[1928, 964, -11*w^2 + 25*w + 22]', '[1928, 1928, -8*w^2 + 5*w + 62]', '[1928, 1928, -45*w^2 + 32*w + 380]', '[1928, 1928, -47*w^2 + 34*w + 400]', '[1931, 1931, 3*w^2 - 5*w - 1]', '[1933, 1933, -8*w - 11]', '[1934, 1934, 2*w^2 + 3*w - 13]', '[1934, 1934, -4*w^2 + 9*w + 4]', '[1936, 44, 23*w^2 - 18*w - 191]', '[1936, 44, -4*w^2 + 6*w + 16]', '[1936, 44, -4*w^2 + 6*w + 38]', '[1936, 88, 5*w^2 + 9*w + 2]', '[1936, 176, 19*w^2 - 12*w - 164]', '[1936, 484, 10*w^2 - 24*w - 20]', '[1936, 484, -w^2 + 6*w + 25]', '[1936, 484, -6*w + 2]', '[1936, 968, 13*w^2 - 9*w - 106]', '[1936, 1936, 6*w^2 - 9*w - 38]', '[1937, 1937, -7*w^2 + 5*w + 53]', '[1937, 1937, 2*w^2 + 2*w - 19]', '[1937, 1937, -3*w^2 - 5*w - 5]', '[1939, 1939, w^2 - w + 7]', '[1942, 1942, 12*w^2 - 11*w - 107]', '[1942, 1942, 5*w^2 - 4*w - 34]', '[1944, 18, 6*w^2 - 18*w - 18]', '[1944, 36, -15*w^2 + 9*w + 126]', '[1944, 36, 3*w^2 - 9]', '[1944, 72, -3*w^2 + 36]', '[1946, 1946, -2*w^2 - 5*w + 7]', '[1946, 1946, 32*w^2 - 23*w - 275]', '[1946, 1946, -6*w^2 + 7*w + 55]', '[1946, 1946, 4*w^2 - 7*w - 4]', '[1946, 1946, 9*w^2 - 4*w - 82]', '[1946, 1946, -4*w^2 + 5*w + 20]', '[1947, 1947, w^2 - 7*w - 21]', '[1948, 974, 11*w^2 - 37*w - 32]', '[1948, 974, 5*w^2 + 4*w - 1]', '[1948, 1948, -3*w^2 - 2*w + 20]', '[1949, 1949, 5*w^2 - 11*w - 7]', '[1949, 1949, 4*w^2 + 4*w - 19]', '[1949, 1949, 3*w^2 + w - 31]', '[1951, 1951, -11*w^2 + 29*w + 29]', '[1952, 244, 2*w^2 - 6*w - 16]', '[1952, 244, 6*w^2 - 38]', '[1952, 488, 8*w^2 - 18*w - 20]', '[1952, 488, 7*w^2 - 6*w - 7]', '[1952, 976, -21*w^2 + 15*w + 182]', '[1952, 1952, -5*w^2 + 52]', '[1953, 651, -4*w^2 + 39]', '[1954, 1954, w^2 - 18*w - 14]', '[1954, 1954, 6*w^2 + 15*w + 5]', '[1958, 1958, 4*w^2 - w - 5]', '[1958, 1958, -14*w^2 + 13*w + 128]', '[1959, 1959, -8*w^2 - 20*w - 9]', '[1959, 1959, 11*w^2 - 7*w - 99]', '[1959, 1959, 5*w^2 - 7*w - 27]', '[1962, 654, -8*w^2 + 9*w + 75]', '[1962, 654, -4*w^2 + 3*w + 24]', '[1963, 1963, 13*w^2 - 9*w - 115]', '[1964, 982, -19*w^2 + 47*w + 44]', '[1964, 982, -3*w^2 + 10*w + 13]', '[1964, 1964, 8*w^2 - 5*w - 74]', '[1966, 1966, 14*w^2 - 11*w - 124]', '[1966, 1966, 3*w^2 - 16*w - 14]', '[1966, 1966, -2*w^2 - 13*w - 11]', '[1966, 1966, -6*w^2 + 11*w + 13]', '[1966, 1966, 4*w^2 + 7*w - 1]', '[1966, 1966, 7*w^2 - 8*w - 10]', '[1967, 1967, 3*w^2 + w - 25]', '[1968, 492, -2*w^2 + 8*w + 12]', '[1968, 492, 13*w^2 - 10*w - 105]', '[1968, 492, -4*w^2 - 2*w + 18]', '[1968, 984, -13*w^2 + 31*w + 30]', '[1968, 1968, 10*w^2 - 7*w - 90]', '[1969, 1969, -2*w^2 - 14*w - 11]', '[1973, 1973, w^2 + 11*w + 5]', '[1973, 1973, -6*w^2 + 16*w + 19]', '[1973, 1973, 25*w^2 - 17*w - 209]', '[1977, 1977, -6*w^2 + 2*w + 51]', '[1979, 1979, 23*w^2 - 15*w - 191]', '[1982, 1982, 5*w - 7]', '[1982, 1982, -11*w^2 + 28*w + 22]', '[1983, 1983, 2*w^2 + 2*w - 21]', '[1984, 124, -8*w^2 + 8*w + 76]', '[1984, 248, 6*w^2 - 8*w - 10]', '[1984, 248, -w^2 - 10*w - 11]', '[1984, 248, -2*w^2 - 2*w + 20]', '[1984, 496, 6*w^2 - 16*w - 8]', '[1984, 992, -5*w^2 + w + 2]', '[1984, 1984, -9*w^2 + 2*w + 64]', '[1987, 1987, -3*w^2 - 7*w - 7]', '[1987, 1987, 2*w^2 + 2*w - 31]', '[1987, 1987, w^2 - w - 19]', '[1989, 663, -2*w^2 - 6*w - 9]', '[1991, 1991, w^2 + 5*w - 25]', '[1992, 498, -6*w^2 + 2*w + 42]', '[1992, 996, -9*w^2 + 16*w + 15]', '[1992, 996, -3*w^2 + 7*w + 18]', '[1992, 1992, -3*w^2 - 16*w - 12]', '[1994, 1994, -6*w^2 + 25*w + 20]', '[1994, 1994, -4*w^2 - 7*w - 5]', '[1998, 222, -3*w^2 - 6*w - 6]', '[1998, 222, -3*w + 15]', '[1999, 1999, w^2 - 9*w + 17]', '[2000, 20, 10*w^2 - 20*w - 20]', '[2000, 20, -5*w^2 + 10*w + 25]', '[2000, 20, -10*w - 10]', '[2000, 40, -5*w^2 + 5*w + 50]', '[2000, 80, -5*w + 10]', '[2002, 2002, 6*w^2 - 5*w - 43]', '[2002, 2002, -4*w^2 - 7*w + 4]', '[2003, 2003, -13*w^2 + 7*w + 119]', '[2006, 2006, 22*w^2 - 15*w - 191]', '[2006, 2006, -3*w^2 + 6*w + 38]', '[2007, 669, -4*w^2 + 33]', '[2008, 502, 4*w^2 - 22]', '[2008, 1004, 7*w^2 - 12*w - 77]', '[2008, 1004, 3*w^2 - 9*w - 14]', '[2008, 2008, -40*w^2 + 27*w + 338]', '[2009, 287, -2*w^2 - 2*w - 5]', '[2009, 2009, -10*w^2 + 10*w + 91]', '[2011, 2011, 18*w^2 - 10*w - 161]', '[2011, 2011, 5*w^2 + 11*w + 7]', '[2011, 2011, w^2 + 5*w - 5]', '[2013, 2013, 14*w^2 - 34*w - 33]', '[2016, 84, 2*w^2 - 6*w - 24]', '[2016, 84, -14*w^2 + 12*w + 114]', '[2016, 168, 4*w^2 - 6*w - 12]', '[2016, 168, 5*w^2 + 6*w + 3]', '[2016, 336, -7*w^2 - 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8*w - 73]', '[887, 887, 2*w - 11]', '[919, 919, -6*w^2 + 6*w + 53]', '[929, 929, -7*w^2 + 19*w + 19]', '[937, 937, 7*w^2 - 15*w - 25]', '[937, 937, 2*w^2 - 25]', '[937, 937, 2*w^2 - 6*w - 11]', '[947, 947, 8*w^2 - 8*w - 59]', '[953, 953, w^2 + 3*w - 7]', '[961, 31, 6*w^2 - 14*w - 11]', '[967, 967, 7*w^2 - 5*w - 55]', '[971, 971, 42*w^2 - 30*w - 359]', '[977, 977, 2*w^2 + 4*w - 7]', '[983, 983, 2*w^2 - 8*w + 1]', '[983, 983, 2*w^2 + 2*w - 13]', '[983, 983, -2*w - 11]', '[991, 991, 6*w^2 - 6*w - 43]', '[997, 997, w^2 - 5*w - 11]']}
63. label: 4.4.1125.1
    {'degree': 4, 'discriminant': 1125, 'ideals': ['[1, 1, 1]', '[5, 5, -w^2 + 1]', '[9, 3, w^3 + w^2 - 4*w - 3]', '[16, 2, 2]', '[25, 5, -2*w^3 + 6*w - 1]', '[29, 29, -w^3 - w^2 + 2*w + 3]', '[29, 29, -w^2 + w + 3]', '[29, 29, w^3 - w^2 - 4*w + 2]', '[29, 29, 2*w^3 + w^2 - 7*w]', '[31, 31, -2*w + 1]', '[31, 31, 2*w^2 - 5]', '[31, 31, 2*w^3 + 2*w^2 - 6*w - 3]', '[31, 31, 2*w^3 - 8*w + 1]', '[45, 15, w^3 + 2*w^2 - 3*w - 4]', '[59, 59, w^3 + w^2 - 2*w - 5]', '[59, 59, -w^3 + 2*w^2 + 4*w - 5]', '[59, 59, -3*w^3 + 10*w - 4]', '[59, 59, -2*w^3 - w^2 + 7*w - 2]', '[61, 61, 4*w^3 + w^2 - 13*w - 1]', '[61, 61, 2*w^3 - w^2 - 5*w + 2]', '[61, 61, -3*w^3 - w^2 + 8*w]', '[61, 61, 3*w^3 - w^2 - 10*w + 5]', '[80, 10, 2*w^3 + 2*w^2 - 6*w - 6]', '[81, 3, -3]', '[89, 89, w^3 + w^2 - w - 4]', '[89, 89, 2*w^2 - w - 6]', '[89, 89, -3*w^3 - 2*w^2 + 10*w + 1]', '[89, 89, -2*w^3 + w^2 + 8*w - 2]', '[121, 11, -w^3 + 3*w + 3]', '[121, 11, 3*w^3 - 9*w + 1]', '[125, 5, 3*w^3 - w^2 - 11*w + 3]', '[144, 6, 2*w^3 + 2*w^2 - 8*w - 6]', '[145, 145, w^2 - 6]', '[145, 145, -w^3 + 4*w + 3]', '[145, 145, w^3 + w^2 - 3*w + 2]', '[145, 145, w - 4]', '[149, 149, 3*w^3 + 2*w^2 - 9*w - 5]', '[149, 149, w^3 + 2*w^2 - 2*w - 7]', '[149, 149, w^3 + w^2 - 5*w - 4]', '[149, 149, -3*w^3 + 11*w - 4]', '[151, 151, 3*w^3 - w^2 - 9*w + 3]', '[151, 151, 3*w^3 - 8*w + 2]', '[151, 151, 4*w^3 + w^2 - 12*w - 1]', '[151, 151, -4*w^3 + 13*w - 3]', '[155, 155, -3*w^3 - w^2 + 11*w - 1]', '[155, 155, w^3 - 2*w^2 - 4*w + 4]', '[155, 155, 2*w^3 + 2*w^2 - 5*w - 5]', '[155, 155, -w^2 + 2*w + 3]', '[179, 179, -4*w^3 - w^2 + 14*w - 1]', '[179, 179, 3*w^3 + 2*w^2 - 8*w - 4]', '[179, 179, -w^3 + w^2 + w - 3]', '[179, 179, -2*w^3 + 2*w^2 + 7*w - 5]', '[181, 181, 4*w^3 + w^2 - 12*w]', '[181, 181, -3*w^3 + 8*w - 1]', '[181, 181, 4*w^3 - 13*w + 2]', '[181, 181, -3*w^3 + w^2 + 9*w - 4]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 6]', '[211, 211, -w^3 + 6*w - 2]', '[211, 211, 2*w^3 - 9*w + 2]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 5]', '[225, 15, 5*w^3 + w^2 - 18*w + 1]', '[239, 239, w^3 + 3*w^2 - 2*w - 10]', '[239, 239, 2*w^3 + w^2 - 9*w - 4]', '[239, 239, 2*w^3 + w^2 - 9*w + 3]', '[239, 239, -w^3 - 3*w^2 + 2*w + 3]', '[241, 241, 5*w^3 + w^2 - 16*w - 1]', '[241, 241, -2*w^3 - 4*w^2 + 5*w + 9]', '[241, 241, 3*w^3 + w^2 - 13*w + 1]', '[241, 241, 5*w^3 - 16*w]', '[256, 4, 4]', '[261, 87, 2*w^3 + 3*w^2 - 7*w - 7]', '[261, 87, w^3 - w^2 - 6*w + 2]', '[261, 87, -2*w^3 - 3*w^2 + 7*w + 4]', '[261, 87, -w^3 + w^2 + 6*w - 5]', '[269, 269, -3*w^3 - 2*w^2 + 7*w + 4]', '[269, 269, -2*w^3 - 3*w^2 + 5*w + 8]', '[269, 269, -3*w^3 - 2*w^2 + 9*w + 7]', '[269, 269, 5*w^3 + 2*w^2 - 17*w - 1]', '[271, 271, 5*w^3 + w^2 - 16*w]', '[271, 271, -2*w^3 - w^2 + 6*w + 6]', '[271, 271, 4*w^3 + w^2 - 11*w]', '[271, 271, 3*w^3 - w^2 - 8*w + 3]', '[279, 93, 2*w^3 + 2*w^2 - 5*w - 6]', '[279, 93, w^2 - 2*w - 4]', '[279, 93, 3*w^3 + w^2 - 11*w + 2]', '[279, 93, w^3 - 2*w^2 - 4*w + 3]', '[295, 295, -2*w^3 - w^2 + 7*w - 4]', '[295, 295, -3*w^3 + 2*w^2 + 7*w - 3]', '[295, 295, 2*w^3 + 4*w^2 - 5*w - 7]', '[295, 295, 2*w^3 + 5*w^2 - 7*w - 5]', '[305, 305, 5*w^3 + 3*w^2 - 11*w - 4]', '[305, 305, -2*w^3 + w^2 + w + 3]', '[305, 305, -w^3 - 2*w^2 + w + 7]', '[305, 305, -4*w^3 - 2*w^2 + 11*w + 4]', '[331, 331, -w^3 + 2*w^2 + 6*w - 6]', '[331, 331, -2*w^3 - 3*w^2 + 7*w + 5]', '[331, 331, 2*w^3 + 3*w^2 - 8*w - 5]', '[331, 331, 3*w^3 + 3*w^2 - 11*w - 5]', '[359, 359, 2*w^3 + 2*w^2 - 9*w - 5]', '[359, 359, 3*w^3 + 2*w^2 - 12*w]', '[359, 359, w^3 + 3*w^2 - w - 9]', '[359, 359, 3*w^2 + 2*w - 5]', '[361, 19, -w^3 + 3*w + 4]', '[361, 19, 4*w^3 - 12*w + 1]', '[389, 389, w^3 - 3*w^2 - 3*w + 5]', '[389, 389, 2*w^3 + 2*w^2 - 5*w - 7]', '[389, 389, 4*w^3 + 3*w^2 - 12*w - 7]', '[389, 389, -4*w^3 + 15*w - 5]', '[400, 10, -4*w^3 + 12*w - 2]', '[405, 15, -3*w^3 - 3*w^2 + 9*w + 9]', '[419, 419, -3*w^3 - 3*w^2 + 8*w + 7]', '[419, 419, -4*w^3 - 2*w^2 + 13*w - 1]', '[419, 419, -4*w^3 - w^2 + 15*w - 2]', '[419, 419, w^3 - 3*w^2 - 4*w + 6]', '[421, 421, w^2 - 7]', '[421, 421, -w^3 + 4*w + 4]', '[421, 421, 4*w^3 - 11*w]', '[421, 421, 4*w^3 - w^2 - 12*w + 6]', '[445, 445, -w^3 + 7*w - 4]', '[445, 445, -4*w^3 + w^2 + 8*w - 2]', '[445, 445, 4*w^3 + 5*w^2 - 13*w - 4]', '[445, 445, -w^3 - w^2 + 2*w - 3]', '[449, 449, 3*w^3 + 2*w^2 - 11*w + 1]', '[449, 449, -w^3 - 2*w^2 + 5*w + 7]', '[449, 449, -w^3 + 2*w^2 + 5*w - 2]', '[449, 449, w^3 + 2*w^2 - w - 8]', '[464, 58, -2*w^3 - 2*w^2 + 4*w + 6]', '[464, 58, -2*w^2 + 2*w + 6]', '[464, 58, 2*w^3 - 2*w^2 - 8*w + 4]', '[464, 58, 4*w^3 + 2*w^2 - 14*w]', '[479, 479, 2*w^3 + 3*w^2 - 5*w - 9]', '[479, 479, -3*w^2 - w + 4]', '[479, 479, -3*w^3 - w^2 + 12*w - 3]', '[479, 479, w^3 + w^2 - 6*w - 4]', '[496, 62, -4*w + 2]', '[496, 62, 4*w^2 - 10]', '[496, 62, 4*w^3 + 4*w^2 - 12*w - 6]', '[496, 62, 4*w^3 - 16*w + 2]', '[509, 509, 4*w^3 + 3*w^2 - 11*w - 6]', '[509, 509, -w^3 + w^2 - 3]', '[509, 509, -2*w^3 + 3*w^2 + 7*w - 7]', '[509, 509, -5*w^3 - w^2 + 18*w - 2]', '[531, 177, -4*w^3 - 5*w^2 + 15*w + 13]', '[531, 177, 4*w^3 - 2*w^2 - 16*w + 9]', '[531, 177, 7*w^3 - w^2 - 24*w + 8]', '[531, 177, 4*w^3 - w^2 - 12*w + 5]', '[541, 541, -4*w^3 + 11*w - 2]', '[541, 541, -4*w^3 + w^2 + 12*w - 4]', '[541, 541, 5*w^3 - 16*w + 3]', '[541, 541, 5*w^3 + w^2 - 15*w]', '[549, 183, -13*w^3 - 4*w^2 + 46*w + 6]', '[549, 183, -4*w^3 - w^2 + 16*w - 3]', '[549, 183, 5*w^3 + 2*w^2 - 17*w]', '[549, 183, -8*w^3 + w^2 + 29*w - 9]', '[569, 569, -4*w^3 - w^2 + 14*w - 3]', '[569, 569, 4*w^3 + 2*w^2 - 15*w]', '[569, 569, w^3 - 3*w^2 - 5*w + 6]', '[569, 569, 2*w^3 + 3*w^2 - 4*w - 8]', '[571, 571, -4*w^3 - w^2 + 17*w + 2]', '[571, 571, 3*w^3 + 4*w^2 - 10*w - 10]', '[571, 571, w^3 + 5*w^2 - 2*w - 14]', '[571, 571, -6*w^3 + 20*w - 3]', '[599, 599, -2*w^3 + w^2 + 4*w - 5]', '[599, 599, -4*w^3 - 2*w^2 + 11*w + 5]', '[599, 599, 3*w^3 - 2*w^2 - 10*w + 4]', '[599, 599, -5*w^3 - w^2 + 17*w - 3]', '[601, 601, w^3 - 7*w + 1]', '[601, 601, 3*w^3 + 4*w^2 - 9*w - 8]', '[601, 601, 3*w^3 - 13*w + 3]', '[601, 601, w^3 + 4*w^2 - 3*w - 8]', '[605, 55, -3*w^3 - w^2 + 6*w + 4]', '[605, 55, w^3 - 3*w^2 - 2*w + 2]', '[625, 5, 5]', '[631, 631, 6*w^3 + w^2 - 19*w - 1]', '[631, 631, -3*w^3 + w^2 + 13*w - 3]', '[631, 631, 5*w^3 + w^2 - 14*w + 2]', '[631, 631, -5*w^3 + w^2 + 16*w - 7]', '[659, 659, -6*w^3 - 2*w^2 + 19*w - 2]', '[659, 659, -5*w^3 + w^2 + 17*w - 2]', '[659, 659, -4*w^3 + 15*w - 6]', '[659, 659, -4*w^3 - 3*w^2 + 12*w + 8]', '[661, 661, -5*w^3 + 2*w^2 + 16*w - 7]', '[661, 661, 6*w^3 + 2*w^2 - 17*w - 2]', '[661, 661, -7*w^3 - w^2 + 23*w - 2]', '[661, 661, -4*w^3 + w^2 + 10*w - 4]', '[691, 691, -6*w^3 + 19*w - 6]', '[691, 691, -5*w^3 + w^2 + 15*w - 2]', '[691, 691, 5*w^3 - 14*w + 5]', '[691, 691, 2*w^3 + 4*w^2 - 7*w - 10]', '[719, 719, -7*w^3 - 2*w^2 + 24*w]', '[719, 719, -2*w^3 + 2*w^2 + 3*w - 5]', '[719, 719, -5*w^3 - 3*w^2 + 13*w + 5]', '[719, 719, -4*w^3 + 3*w^2 + 14*w - 9]', '[720, 30, 2*w^3 + 4*w^2 - 6*w - 8]', '[725, 145, -w^3 + 3*w^2 + 4*w - 5]', '[725, 145, -4*w^3 - w^2 + 15*w - 3]', '[725, 145, 3*w^3 + 3*w^2 - 8*w - 8]', '[725, 145, w^2 - 3*w - 4]', '[729, 9, -3*w^3 - 3*w^2 + 12*w + 9]', '[745, 745, -4*w^3 + w^2 + 11*w - 4]', '[745, 745, w^2 + 4*w - 2]', '[745, 745, w^3 + 4*w^2 - 4*w - 7]', '[745, 745, -5*w^3 - w^2 + 14*w]', '[751, 751, 4*w^3 + 4*w^2 - 14*w - 5]', '[751, 751, 5*w^3 + 4*w^2 - 17*w - 8]', '[751, 751, -3*w^3 + 2*w^2 + 13*w - 9]', '[751, 751, 6*w^3 + w^2 - 19*w]', '[755, 755, -2*w^3 + 2*w + 5]', '[755, 755, -4*w^3 - 2*w^2 + 7*w + 5]', '[755, 755, 3*w^3 + 3*w^2 - 7*w - 7]', '[755, 755, -5*w^3 - 2*w^2 + 12*w + 4]', '[775, 155, 2*w^3 + 4*w^2 - 8*w - 5]', '[775, 155, 2*w^3 - 2*w^2 - 10*w + 9]', '[775, 155, -2*w^2 - 4*w + 3]', '[775, 155, 4*w^3 + 4*w^2 - 14*w - 9]', '[801, 267, -w^3 - 4*w^2 + 4*w + 9]', '[801, 267, -4*w^3 - 4*w^2 + 13*w + 15]', '[801, 267, 8*w^3 + 2*w^2 - 26*w - 3]', '[801, 267, 10*w^3 + w^2 - 37*w]', '[809, 809, w^3 + 3*w^2 - w - 11]', '[809, 809, -5*w^3 + 18*w - 6]', '[809, 809, -6*w^3 - w^2 + 20*w - 4]', '[809, 809, 5*w^3 + 3*w^2 - 15*w - 7]', '[811, 811, 5*w^3 + 4*w^2 - 18*w - 6]', '[811, 811, 7*w^3 + 2*w^2 - 22*w - 1]', '[811, 811, 4*w^3 - 2*w^2 - 11*w + 6]', '[811, 811, 5*w^3 + w^2 - 13*w]', '[839, 839, -4*w^3 - 4*w^2 + 11*w + 9]', '[839, 839, 5*w^3 + w^2 - 19*w + 3]', '[839, 839, -6*w^3 - 2*w^2 + 21*w]', '[839, 839, -5*w^3 - 3*w^2 + 16*w]', '[841, 29, -w^3 + 3*w + 5]', '[841, 29, -w^3 - 4*w^2 + 4*w + 8]', '[841, 29, 3*w^3 - w^2 - 13*w + 5]', '[841, 29, w^3 - 3*w + 6]', '[841, 29, -w^2 - 4*w + 3]', '[841, 29, -4*w^3 - 4*w^2 + 13*w + 7]', '[841, 841, -5*w^3 - 4*w^2 + 17*w + 7]', '[841, 841, -3*w^3 + 2*w^2 + 13*w - 8]', '[841, 841, w^3 + 2*w^2 + w - 4]', '[841, 841, -w^3 - 4*w^2 + 5*w + 7]', '[895, 895, -w^3 - w^2 + 5*w - 5]', '[895, 895, -6*w^3 - 2*w^2 + 15*w + 1]', '[895, 895, 2*w^3 - 3]', '[895, 895, 3*w^3 + 4*w^2 - 10*w - 6]', '[899, 899, w^3 - w^2 + 4]', '[899, 899, 6*w^3 + w^2 - 21*w + 3]', '[899, 899, -4*w^3 + 15*w - 7]', '[899, 899, -w^3 - 4]', '[899, 899, 4*w^3 - 2*w^2 - 14*w + 5]', '[899, 899, 2*w^3 - w^2 - 3*w + 4]', '[899, 899, 3*w^3 - 3*w^2 - 10*w + 7]', '[899, 899, -4*w^3 - 2*w^2 + 10*w + 5]', '[899, 899, -5*w^3 - 3*w^2 + 14*w + 6]', '[899, 899, 2*w^3 - 2*w^2 - 4*w + 7]', '[899, 899, -2*w^3 + 3*w^2 + 7*w - 6]', '[899, 899, 5*w^3 + w^2 - 18*w + 3]', '[899, 899, 4*w^3 + 3*w^2 - 12*w - 9]', '[899, 899, 4*w^3 + 3*w^2 - 11*w - 7]', '[899, 899, -w^3 + 3*w^2 + 3*w - 3]', '[899, 899, 6*w^3 + 2*w^2 - 20*w + 1]', '[905, 905, -5*w^3 - 3*w^2 + 12*w + 5]', '[905, 905, 4*w^3 + w^2 - 7*w - 4]', '[905, 905, 2*w^3 + w^2 - 2*w - 6]', '[905, 905, -3*w^3 - 2*w^2 + 7*w + 6]', '[929, 929, 5*w^3 + w^2 - 17*w + 4]', '[929, 929, 3*w^3 - 2*w^2 - 10*w + 3]', '[929, 929, 4*w^3 + 2*w^2 - 11*w - 6]', '[929, 929, 4*w^3 + 2*w^2 - 15*w + 1]', '[944, 118, 2*w^3 + 2*w^2 - 4*w - 10]', '[944, 118, -2*w^3 + 4*w^2 + 8*w - 10]', '[944, 118, -6*w^3 + 20*w - 8]', '[944, 118, -4*w^3 - 2*w^2 + 14*w - 4]', '[961, 31, 2*w^3 - w^2 - 10*w + 5]', '[961, 31, 5*w^3 - 15*w + 2]', '[961, 31, 5*w^3 - 15*w + 3]', '[961, 31, 2*w^3 + 4*w^2 - 7*w - 7]', '[961, 31, 3*w^3 + 4*w^2 - 10*w - 8]', '[961, 31, w^3 - w^2 - 7*w + 3]', '[961, 961, w^2 - 8]', '[961, 961, w^3 - 4*w - 5]', '[961, 961, -w^3 - w^2 + 3*w - 4]', '[961, 961, w - 6]', '[976, 122, 8*w^3 + 2*w^2 - 26*w - 2]', '[976, 122, 4*w^3 - 2*w^2 - 10*w + 4]', '[976, 122, -6*w^3 - 2*w^2 + 16*w]', '[976, 122, 6*w^3 - 2*w^2 - 20*w + 10]', '[991, 991, 3*w^3 + w^2 - 14*w + 1]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 11]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 10]', '[991, 991, 3*w^2 + 4*w - 7]', '[1019, 1019, 4*w^2 + w - 6]', '[1019, 1019, 3*w^3 + 4*w^2 - 8*w - 11]', '[1019, 1019, 4*w^3 + w^2 - 16*w + 4]', '[1019, 1019, w^3 + w^2 - 7*w - 4]', '[1021, 1021, -w^3 + w^2 + 4*w - 9]', '[1021, 1021, 5*w^3 - 14*w + 4]', '[1021, 1021, 6*w^3 + w^2 - 18*w - 1]', '[1021, 1021, -6*w^3 + 19*w - 5]', '[1049, 1049, w^2 - 3*w - 5]', '[1049, 1049, -3*w^3 - 3*w^2 + 8*w + 9]', '[1049, 1049, -4*w^3 - w^2 + 15*w - 4]', '[1049, 1049, -w^3 + 3*w^2 + 4*w - 4]', '[1051, 1051, w^3 - 2*w^2 - 7*w + 7]', '[1051, 1051, 4*w^3 + 4*w^2 - 14*w - 7]', '[1051, 1051, 3*w^3 + 4*w^2 - 11*w - 8]', '[1051, 1051, 2*w^2 + 4*w - 5]', '[1055, 1055, -2*w^3 + 2*w^2 + w - 3]', '[1055, 1055, -5*w^3 - 4*w^2 + 16*w]', '[1055, 1055, w^3 - 2*w^2 + w + 4]', '[1055, 1055, -5*w^3 - 3*w^2 + 16*w - 1]', '[1089, 33, 6*w^3 + 4*w^2 - 23*w - 10]', '[1089, 33, -8*w^3 - 2*w^2 + 29*w]', '[1109, 1109, -w^3 + 3*w^2 + w - 9]', '[1109, 1109, 3*w^3 + 2*w^2 - 6*w - 6]', '[1109, 1109, 4*w^3 - 2*w^2 - 15*w + 5]', '[1109, 1109, 6*w^3 + 3*w^2 - 20*w - 1]', '[1125, 15, w^3 - 2*w^2 - 7*w + 6]', '[1171, 1171, 5*w^2 - 3*w - 9]', '[1171, 1171, 3*w^3 + 3*w^2 - 4*w - 5]', '[1171, 1171, -2*w^3 + 8*w + 5]', '[1171, 1171, 8*w^3 + 5*w^2 - 27*w - 8]', '[1195, 1195, -5*w^3 + w^2 + 15*w - 6]', '[1195, 1195, w^2 + 5*w - 1]', '[1195, 1195, 5*w^3 + 6*w^2 - 15*w - 1]', '[1195, 1195, -6*w^2 + 5*w + 6]', '[1201, 1201, 8*w^3 - 27*w + 3]', '[1201, 1201, 5*w^3 - 2*w^2 - 20*w + 8]', '[1201, 1201, 5*w^3 - 3*w^2 - 15*w + 11]', '[1201, 1201, w^3 + 3*w^2 + 2*w - 3]', '[1205, 1205, -5*w^3 - 2*w^2 + 13*w + 5]', '[1205, 1205, -4*w^2 + 6*w + 5]', '[1205, 1205, 7*w^3 + 3*w^2 - 21*w + 3]', '[1205, 1205, -4*w^3 + 9*w + 5]', '[1229, 1229, 2*w^2 - 3*w - 6]', '[1229, 1229, 3*w^3 - 2*w^2 - 10*w + 2]', '[1229, 1229, -2*w^3 + 3*w^2 + 8*w - 6]', '[1229, 1229, 5*w^3 + 2*w^2 - 18*w + 1]', '[1231, 1231, -5*w^3 + 14*w - 3]', '[1231, 1231, 5*w^3 - w^2 - 15*w + 4]', '[1231, 1231, -6*w^3 + 19*w - 4]', '[1231, 1231, 6*w^3 + w^2 - 18*w]', '[1259, 1259, -7*w^3 + w^2 + 25*w - 10]', '[1259, 1259, 8*w^3 + 4*w^2 - 25*w - 8]', '[1259, 1259, 4*w^3 + w^2 - 8*w + 2]', '[1259, 1259, -6*w^3 + 21*w - 7]', '[1280, 20, 4*w^3 + 4*w^2 - 12*w - 12]', '[1289, 1289, w^3 + 2*w^2 - 7*w - 5]', '[1289, 1289, w^3 - 4*w^2 - 5*w + 8]', '[1289, 1289, 3*w^3 + 4*w^2 - 7*w - 10]', '[1289, 1289, -5*w^3 - 2*w^2 + 19*w - 1]', '[1291, 1291, 6*w^3 + w^2 - 18*w + 1]', '[1291, 1291, -5*w^3 + 14*w - 2]', '[1291, 1291, 6*w^3 - 19*w + 3]', '[1291, 1291, -5*w^3 + w^2 + 15*w - 5]', '[1296, 6, -6]', '[1305, 435, -4*w^3 - 2*w^2 + 15*w - 2]', '[1305, 435, 2*w^3 + 3*w^2 - 4*w - 10]', '[1305, 435, w^3 + 2*w^2 - 6*w - 7]', '[1305, 435, -w^3 + 3*w^2 + 5*w - 4]', '[1319, 1319, -7*w^3 - 2*w^2 + 22*w - 4]', '[1319, 1319, 5*w^3 + 4*w^2 - 15*w - 10]', '[1319, 1319, -5*w^3 - w^2 + 13*w + 5]', '[1319, 1319, 6*w^3 + 4*w^2 - 22*w - 3]', '[1321, 1321, -5*w^3 + 3*w^2 + 15*w - 10]', '[1321, 1321, 5*w^2 - w - 12]', '[1321, 1321, -3*w^3 - 5*w^2 + 10*w + 6]', '[1321, 1321, 5*w^3 - 12*w + 1]', '[1341, 447, -10*w^3 - 6*w^2 + 35*w + 14]', '[1341, 447, -4*w^3 - 6*w^2 + 14*w + 17]', '[1341, 447, -9*w^3 - 4*w^2 + 32*w + 13]', '[1341, 447, 9*w^3 - w^2 - 31*w + 7]', '[1345, 1345, 7*w^3 + 2*w^2 - 16*w - 1]', '[1345, 1345, 5*w^3 - w^2 - 14*w + 2]', '[1345, 1345, 6*w^3 + w^2 - 17*w + 3]', '[1345, 1345, -5*w^3 - 5*w^2 + 16*w + 6]', '[1355, 1355, -5*w^3 - 3*w^2 + 13*w + 6]', '[1355, 1355, -6*w^3 - 3*w^2 + 13*w + 5]', '[1355, 1355, 3*w^3 - 3*w^2 - 8*w + 3]', '[1355, 1355, -3*w^3 + 3*w + 5]', '[1359, 453, -8*w^3 - w^2 + 30*w - 4]', '[1359, 453, -5*w^3 - w^2 + 18*w - 4]', '[1359, 453, -11*w^3 - 4*w^2 + 39*w + 5]', '[1359, 453, 11*w^3 + w^2 - 39*w + 4]', '[1381, 1381, -5*w^2 + 2*w + 10]', '[1381, 1381, 4*w^3 + 5*w^2 - 13*w - 12]', '[1381, 1381, 3*w^3 - 11*w - 5]', '[1381, 1381, -3*w^3 + w^2 + 14*w - 8]', '[1395, 465, -5*w^3 + 13*w - 2]', '[1395, 465, 7*w^3 + 2*w^2 - 21*w - 1]', '[1395, 465, 5*w^3 - 2*w^2 - 15*w + 7]', '[1395, 465, -7*w^3 + 23*w - 4]', '[1409, 1409, -5*w^3 - 5*w^2 + 14*w + 11]', '[1409, 1409, -6*w^3 - w^2 + 23*w - 4]', '[1409, 1409, -6*w^3 - 4*w^2 + 19*w + 1]', '[1409, 1409, -w^3 + 5*w^2 + 4*w - 10]', '[1424, 178, 2*w^3 + 2*w^2 - 2*w - 8]', '[1424, 178, 4*w^2 - 2*w - 12]', '[1424, 178, -6*w^3 - 4*w^2 + 20*w + 2]', '[1424, 178, -4*w^3 + 2*w^2 + 16*w - 4]', '[1439, 1439, -5*w^3 + w^2 + 18*w - 1]', '[1439, 1439, 5*w^3 + w^2 - 19*w + 4]', '[1439, 1439, -6*w^3 - 3*w^2 + 19*w - 1]', '[1439, 1439, w^3 - 4*w^2 - 4*w + 7]', '[1471, 1471, -4*w^3 - 5*w^2 + 13*w + 6]', '[1471, 1471, 7*w^3 + w^2 - 21*w - 2]', '[1471, 1471, -7*w^3 + 22*w - 7]', '[1471, 1471, 6*w^3 - 17*w + 6]', '[1475, 295, 5*w^3 - 3*w^2 - 16*w + 7]', '[1475, 295, -w^3 - 4*w^2 + 13]', '[1475, 295, 3*w^3 - 2*w^2 - 8*w + 12]', '[1475, 295, 4*w^3 - w^2 - 9*w + 6]', '[1499, 1499, -3*w^3 + 3*w^2 + 8*w - 12]', '[1499, 1499, 4*w^3 + w^2 - 9*w - 5]', '[1499, 1499, -7*w^3 - 3*w^2 + 22*w - 1]', '[1499, 1499, 7*w^3 + 4*w^2 - 24*w - 3]', '[1525, 305, 4*w^3 + w^2 - 15*w - 7]', '[1525, 305, -w^2 + 3*w - 6]', '[1525, 305, 3*w^3 + 3*w^2 - 8*w + 2]', '[1525, 305, -w^3 + 3*w^2 + 4*w - 15]', '[1531, 1531, 7*w^3 + 2*w^2 - 20*w - 2]', '[1531, 1531, 3*w^3 - 14*w + 1]', '[1531, 1531, 8*w^3 + w^2 - 26*w + 3]', '[1531, 1531, 3*w^3 + 5*w^2 - 9*w - 8]', '[1559, 1559, -5*w^3 + 18*w - 8]', '[1559, 1559, -8*w^3 - 3*w^2 + 26*w]', '[1559, 1559, -5*w^3 - 3*w^2 + 15*w + 9]', '[1559, 1559, -6*w^3 + 2*w^2 + 21*w - 6]', '[1611, 537, 13*w^3 + 2*w^2 - 45*w - 1]', '[1611, 537, -7*w^3 - 5*w^2 + 24*w + 10]', '[1611, 537, -2*w^3 - w^2 + 6*w + 8]', '[1611, 537, 7*w^3 - w^2 - 27*w + 8]', '[1619, 1619, 5*w^3 - 2*w^2 - 16*w + 3]', '[1619, 1619, -6*w^3 + 22*w - 7]', '[1619, 1619, 6*w^3 + 4*w^2 - 18*w - 9]', '[1619, 1619, -7*w^3 - w^2 + 23*w - 6]', '[1621, 1621, -3*w^3 - 2*w^2 + 8*w - 4]', '[1621, 1621, -2*w^3 + 2*w^2 + 7*w - 13]', '[1621, 1621, 4*w^3 + w^2 - 14*w - 7]', '[1621, 1621, 5*w^3 - w^2 - 14*w + 5]', '[1629, 543, -10*w^3 - 3*w^2 + 35*w + 2]', '[1629, 543, 6*w^3 + 2*w^2 - 22*w + 1]', '[1629, 543, -12*w^3 - 2*w^2 + 43*w - 1]', '[1629, 543, 7*w^3 - 26*w + 7]', '[1655, 1655, -4*w^3 + 9*w - 5]', '[1655, 1655, -4*w^3 - 4*w^2 + 16*w + 1]', '[1655, 1655, 4*w^3 + 4*w^2 - 15*w]', '[1655, 1655, -3*w^3 - 4*w^2 + 14*w]', '[1681, 41, -6*w^3 + 18*w - 5]', '[1681, 41, 6*w^3 - 18*w + 1]', '[1709, 1709, 3*w^3 + 5*w^2 - 7*w - 13]', '[1709, 1709, 5*w^3 - 3*w^2 - 18*w + 9]', '[1709, 1709, -5*w^3 - 3*w^2 + 12*w + 6]', '[1709, 1709, 8*w^3 + 3*w^2 - 27*w - 1]', '[1711, 1711, 2*w^3 + 7*w^2 - 4*w - 18]', '[1711, 1711, -3*w^3 + 2*w^2 + 10*w - 14]', '[1711, 1711, -7*w^3 + 2*w^2 + 23*w - 8]', '[1711, 1711, -3*w^3 - 3*w^2 + 10*w - 3]', '[1711, 1711, -2*w^3 + 5*w - 8]', '[1711, 1711, 2*w^3 + 5*w^2 - 6*w - 10]', '[1711, 1711, -4*w^3 - w^2 + 18*w - 3]', '[1711, 1711, 2*w^3 + 3*w^2 - 9]', '[1711, 1711, -5*w^3 + 2*w^2 + 13*w - 7]', '[1711, 1711, -w^3 + 5*w^2 + 8*w - 14]', '[1711, 1711, -7*w^3 + 2*w^2 + 23*w - 12]', '[1711, 1711, -6*w^3 + 2*w^2 + 18*w - 11]', '[1711, 1711, 2*w^3 + 6*w^2 - 5*w - 11]', '[1711, 1711, -3*w^3 + 3*w^2 + 14*w - 13]', '[1711, 1711, w^2 + 3*w - 11]', '[1711, 1711, w^3 + 6*w^2 - 6*w - 14]', '[1741, 1741, -4*w^3 - 5*w^2 + 14*w + 12]', '[1741, 1741, -2*w^3 + 2*w^2 + 11*w - 10]', '[1741, 1741, -3*w^3 - 5*w^2 + 11*w + 6]', '[1741, 1741, w^3 - 2*w^2 - 8*w + 3]', '[1769, 1769, -3*w^2 + 2*w + 11]', '[1769, 1769, 9*w^3 + 3*w^2 - 32*w - 2]', '[1769, 1769, -9*w^3 - 5*w^2 + 29*w + 11]', '[1769, 1769, 4*w^3 - 5*w^2 - 15*w + 15]', '[1769, 1769, 3*w^3 + 2*w^2 - 15*w + 5]', '[1769, 1769, -2*w^3 - 2*w^2 + 3*w + 9]', '[1769, 1769, -4*w^3 - 2*w^2 + 7*w - 1]', '[1769, 1769, 7*w^3 - 2*w^2 - 26*w + 14]', '[1769, 1769, 3*w^3 + 6*w^2 - 7*w - 6]', '[1769, 1769, -w^3 - 6*w^2 + w + 20]', '[1769, 1769, -5*w^3 - 2*w^2 + 21*w + 7]', '[1769, 1769, 3*w^3 - 2*w^2 - 12*w + 2]', '[1769, 1769, w^3 - 3*w^2 + 2*w + 5]', '[1769, 1769, -5*w^3 - 3*w^2 + 17*w - 1]', '[1769, 1769, 2*w^3 - 5*w^2 - 4*w + 7]', '[1769, 1769, 6*w^3 + 5*w^2 - 15*w - 8]', '[1795, 1795, -5*w^3 - 4*w^2 + 14*w - 2]', '[1795, 1795, -6*w^3 + 16*w - 5]', '[1795, 1795, -w^3 - w^2 + 9*w - 1]', '[1795, 1795, -2*w^3 - 6*w^2 + 11*w + 5]', '[1801, 1801, -2*w^3 - w^2 + 7*w - 6]', '[1801, 1801, -7*w^3 - 2*w^2 + 20*w - 1]', '[1801, 1801, 6*w^3 - 2*w^2 - 19*w + 10]', '[1801, 1801, -w^3 + 2*w^2 + 8*w - 9]', '[1805, 95, w^3 - 4*w^2 - 2*w + 3]', '[1805, 95, -4*w^3 - w^2 + 8*w + 5]', '[1829, 1829, 3*w^3 + 4*w^2 - 6*w - 10]', '[1829, 1829, 3*w^3 + 6*w^2 - 8*w - 18]', '[1829, 1829, -w^3 - 6*w^2 - 2*w + 10]', '[1829, 1829, 2*w^3 - 7*w^2 - 7*w + 16]', '[1829, 1829, 4*w^3 + w^2 - 5*w - 6]', '[1829, 1829, 3*w^3 - 7*w^2 - 8*w + 21]', '[1829, 1829, 7*w^3 - 4*w^2 - 26*w + 23]', '[1829, 1829, 2*w^3 + 3*w^2 - 3*w - 10]', '[1829, 1829, -3*w^3 - 3*w^2 + 16*w - 3]', '[1829, 1829, -4*w^3 - 7*w^2 + 9*w + 8]', '[1829, 1829, -3*w^3 + 2*w^2 + 6*w - 7]', '[1829, 1829, -9*w^3 - w^2 + 34*w - 5]', '[1829, 1829, -w^3 - 3*w^2 + 6*w + 9]', '[1829, 1829, -w^3 + 4*w^2 + 2*w - 15]', '[1829, 1829, 7*w^3 + 2*w^2 - 22*w + 5]', '[1829, 1829, 5*w^3 - 8*w^2 - 20*w + 26]', '[1831, 1831, 8*w^3 + 2*w^2 - 25*w]', '[1831, 1831, 5*w^3 - 2*w^2 - 14*w + 7]', '[1831, 1831, 6*w^3 + w^2 - 16*w]', '[1831, 1831, -7*w^3 + w^2 + 23*w - 6]', '[1861, 1861, 8*w^3 + w^2 - 26*w + 2]', '[1861, 1861, 7*w^3 + 2*w^2 - 20*w - 1]', '[1861, 1861, 6*w^3 - 2*w^2 - 19*w + 8]', '[1861, 1861, 5*w^3 + 5*w^2 - 16*w - 9]', '[1889, 1889, w^3 + 3*w^2 - 13]', '[1889, 1889, -7*w^3 - w^2 + 25*w - 4]', '[1889, 1889, -3*w^3 + 4*w^2 + 10*w - 9]', '[1889, 1889, -4*w^3 - 3*w^2 + 15*w - 2]', '[1891, 1891, 5*w^3 + 7*w^2 - 16*w - 6]', '[1891, 1891, -14*w^3 - 7*w^2 + 49*w + 15]', '[1891, 1891, -w^3 - 5*w^2 + 4*w + 11]', '[1891, 1891, -4*w^3 + w^2 + 19*w + 1]', '[1891, 1891, -4*w^3 + w^2 + 17*w - 5]', '[1891, 1891, -2*w^3 - 5*w^2 + 9*w + 10]', '[1891, 1891, -6*w^3 - 5*w^2 + 21*w + 7]', '[1891, 1891, w^2 + 5*w - 4]', '[1891, 1891, -2*w^3 + w^2 + 13*w - 12]', '[1891, 1891, 5*w^3 + 5*w^2 - 16*w - 8]', '[1891, 1891, -7*w^3 - 7*w^2 + 14*w + 6]', '[1891, 1891, -w^3 - 3*w^2 - 2*w + 8]', '[1891, 1891, -3*w^3 - 7*w^2 + 10*w + 21]', '[1891, 1891, -3*w^3 + 3*w^2 + 14*w - 9]', '[1891, 1891, -7*w^2 + 7*w + 6]', '[1891, 1891, -7*w^3 + 7*w^2 + 28*w - 29]', '[1899, 633, -6*w^3 - 5*w^2 + 19*w + 14]', '[1899, 633, 7*w^3 - w^2 - 24*w + 2]', '[1899, 633, -10*w^3 + 35*w - 1]', '[1899, 633, -5*w^3 - 4*w^2 + 15*w + 11]', '[1936, 22, -2*w^3 + 6*w + 6]', '[1936, 22, 6*w^3 - 18*w + 2]', '[1945, 1945, -5*w^3 + w^2 + 13*w - 3]', '[1945, 1945, w^3 + 5*w^2 - 5*w - 9]', '[1945, 1945, 2*w^3 + 4*w^2 - 10*w + 3]', '[1945, 1945, -7*w^3 - 2*w^2 + 20*w]', '[1949, 1949, -6*w^3 - 4*w^2 + 21*w + 2]', '[1949, 1949, -7*w^3 - 2*w^2 + 23*w - 3]', '[1949, 1949, -w^3 - 4*w^2 + 6*w + 11]', '[1949, 1949, -3*w^3 + 2*w^2 + 7*w - 9]', '[1951, 1951, 6*w^3 + 5*w^2 - 20*w - 8]', '[1951, 1951, w^3 + 5*w^2 - 5*w - 10]', '[1951, 1951, w^3 + 2*w^2 + 2*w - 5]', '[1951, 1951, 4*w^3 - 2*w^2 - 17*w + 8]', '[1979, 1979, -3*w^3 - 4*w^2 + 7*w + 11]', '[1979, 1979, 5*w^3 + 2*w^2 - 19*w + 2]', '[1979, 1979, -6*w^3 - 2*w^2 + 20*w - 3]', '[1979, 1979, w^3 - 4*w^2 - 5*w + 7]', '[2000, 10, 6*w^3 - 2*w^2 - 22*w + 6]', '[2011, 2011, -w^3 + w^2 + 4*w - 10]', '[2011, 2011, 6*w^3 - 17*w + 5]', '[2011, 2011, 7*w^3 + w^2 - 21*w - 1]', '[2011, 2011, -7*w^3 + 22*w - 6]', '[2025, 15, 6*w^3 - 18*w + 3]', '[2039, 2039, 2*w^3 + 2*w^2 - 3*w - 10]', '[2039, 2039, 3*w^2 - 2*w - 12]', '[2039, 2039, -5*w^3 - 3*w^2 + 17*w - 2]', '[2039, 2039, 3*w^3 - 2*w^2 - 12*w + 1]', '[2069, 2069, -7*w^3 - w^2 + 24*w - 5]', '[2069, 2069, 6*w^3 + 3*w^2 - 17*w - 7]', '[2069, 2069, w^3 + 4*w^2 - 14]', '[2069, 2069, 4*w^3 + 3*w^2 - 16*w + 1]', '[2095, 2095, 2*w^3 + 5*w^2 - 9*w - 7]', '[2095, 2095, 3*w^3 + 3*w^2 - 11*w + 4]', '[2095, 2095, 7*w^3 + 2*w^2 - 19*w + 1]', '[2095, 2095, 5*w^3 + 7*w^2 - 15*w - 7]', '[2099, 2099, 6*w^3 + w^2 - 20*w + 7]', '[2099, 2099, -3*w^3 + w^2 + 7*w - 9]', '[2099, 2099, -4*w^3 + 2*w^2 + 13*w - 1]', '[2099, 2099, 5*w^3 + 2*w^2 - 14*w - 8]', '[2105, 2105, -3*w^3 - 3*w^2 + 4*w + 9]', '[2105, 2105, -4*w^2 - w + 3]', '[2105, 2105, -w^3 + 4*w^2 + 4*w - 6]', '[2105, 2105, -5*w^3 + 9*w + 4]', '[2129, 2129, 5*w^3 + 3*w^2 - 19*w]', '[2129, 2129, 6*w^3 + w^2 - 21*w + 5]', '[2129, 2129, w^3 - 4*w^2 - 6*w + 7]', '[2129, 2129, 2*w^3 + 4*w^2 - 3*w - 12]', '[2131, 2131, 2*w^3 + 5*w^2 - 7*w - 9]', '[2131, 2131, -w^3 + w^2 + 8*w - 3]', '[2131, 2131, 3*w^3 - w^2 - 14*w + 6]', '[2131, 2131, 4*w^3 + 5*w^2 - 13*w - 10]', '[2151, 717, -5*w^3 - 8*w^2 + 17*w + 24]', '[2151, 717, -14*w^3 - 5*w^2 + 50*w + 15]', '[2151, 717, -7*w^3 + 2*w^2 + 22*w - 6]', '[2151, 717, -2*w^3 + w^2 + 11*w - 3]', '[2161, 2161, -4*w^3 - w^2 + 18*w - 2]', '[2161, 2161, 3*w^3 + 6*w^2 - 8*w - 13]', '[2161, 2161, 2*w^3 + 6*w^2 - 5*w - 12]', '[2161, 2161, -3*w^3 - w^2 + 15*w]', '[2169, 723, -16*w^3 - 5*w^2 + 57*w + 7]', '[2169, 723, 5*w^3 + 7*w^2 - 15*w - 20]', '[2169, 723, -14*w^3 - w^2 + 48*w + 2]', '[2169, 723, -17*w^3 - 5*w^2 + 62*w + 6]', '[2221, 2221, 6*w^3 + 5*w^2 - 21*w - 8]', '[2221, 2221, -4*w^3 - 5*w^2 + 14*w + 11]', '[2221, 2221, -2*w^3 + 2*w^2 + 11*w - 9]', '[2221, 2221, -3*w^3 - 5*w^2 + 11*w + 7]', '[2225, 445, w^3 - 5*w^2 - 3*w + 8]', '[2225, 445, 6*w^3 - 23*w + 8]', '[2225, 445, w^3 + 2*w + 3]', '[2225, 445, -6*w^3 - 5*w^2 + 18*w + 12]', '[2245, 2245, w^3 - w^2 - 8*w + 4]', '[2245, 2245, -5*w^3 + 2*w^2 + 12*w - 5]', '[2245, 2245, -3*w^3 - 7*w^2 + 12*w + 6]', '[2245, 2245, -3*w^3 - 4*w^2 + 8*w - 1]', '[2251, 2251, -3*w^3 + 2*w^2 + 14*w - 9]', '[2251, 2251, 5*w^3 + 5*w^2 - 18*w - 7]', '[2251, 2251, 5*w^3 + 5*w^2 - 17*w - 10]', '[2251, 2251, -2*w^3 - 5*w^2 + 8*w + 8]', '[2281, 2281, 3*w^3 + 5*w^2 - 11*w - 11]', '[2281, 2281, -4*w^3 - 5*w^2 + 14*w + 7]', '[2281, 2281, 6*w^3 + 5*w^2 - 21*w - 9]', '[2281, 2281, w^3 - 2*w^2 - 8*w + 8]', '[2304, 12, 4*w^3 + 4*w^2 - 16*w - 12]', '[2309, 2309, 3*w^3 + 3*w^2 - 7*w - 10]', '[2309, 2309, -2*w^3 + 3*w^2 + 8*w - 4]', '[2309, 2309, -5*w^3 - 2*w^2 + 18*w - 3]', '[2309, 2309, 2*w^2 - 3*w - 8]', '[2311, 2311, -7*w^3 - w^2 + 21*w - 3]', '[2311, 2311, 6*w^3 - 17*w + 1]', '[2311, 2311, -w^3 + w^2 + 3*w - 10]', '[2311, 2311, -6*w^3 + w^2 + 18*w - 7]', '[2320, 290, 2*w^2 - 12]', '[2320, 290, -2*w^3 + 8*w + 6]', '[2320, 290, 2*w^3 + 2*w^2 - 6*w + 4]', '[2320, 290, 2*w - 8]', '[2339, 2339, -w^3 + 3*w^2 + w - 11]', '[2339, 2339, -w^3 - 2*w^2 + 8*w + 5]', '[2339, 2339, w^3 - 5*w^2 - 5*w + 10]', '[2339, 2339, 4*w^3 + 5*w^2 - 10*w - 12]', '[2341, 2341, 3*w^3 + 6*w^2 - 8*w - 12]', '[2341, 2341, 2*w^3 + 6*w^2 - 5*w - 13]', '[2341, 2341, -3*w^3 - w^2 + 15*w - 1]', '[2341, 2341, 4*w^3 + w^2 - 18*w + 1]', '[2349, 87, 3*w^3 + 3*w^2 - 6*w - 9]', '[2349, 87, 3*w^2 - 3*w - 9]', '[2349, 87, -3*w^3 + 3*w^2 + 12*w - 6]', '[2349, 87, -6*w^3 - 3*w^2 + 21*w]', '[2371, 2371, 2*w^3 - 3*w^2 - 11*w + 11]', '[2371, 2371, 5*w^3 + 5*w^2 - 18*w - 10]', '[2371, 2371, 3*w^3 + 5*w^2 - 12*w - 7]', '[2371, 2371, -5*w^3 - 5*w^2 + 17*w + 8]', '[2384, 298, 6*w^3 + 4*w^2 - 18*w - 10]', '[2384, 298, 2*w^3 + 4*w^2 - 4*w - 14]', '[2384, 298, 2*w^3 + 2*w^2 - 10*w - 8]', '[2384, 298, -6*w^3 + 22*w - 8]', '[2395, 2395, 4*w^3 + 5*w^2 - 13*w + 1]', '[2395, 2395, w^3 + w^2 + 3*w - 2]', '[2395, 2395, -6*w^3 + 17*w - 4]', '[2395, 2395, w^3 + 6*w^2 - 7*w - 7]', '[2399, 2399, -w^3 + 4*w^2 + 3*w - 4]', '[2399, 2399, -5*w^3 + 19*w - 9]', '[2399, 2399, -w^3 - w - 5]', '[2399, 2399, -5*w^3 - 4*w^2 + 15*w + 12]', '[2401, 7, -7]', '[2416, 302, 6*w^3 - 2*w^2 - 18*w + 6]', '[2416, 302, 6*w^3 - 16*w + 4]', '[2416, 302, 8*w^3 + 2*w^2 - 24*w - 2]', '[2416, 302, -8*w^3 + 26*w - 6]', '[2421, 807, 5*w^3 + 5*w^2 - 17*w - 9]', '[2421, 807, 6*w^3 + 7*w^2 - 20*w - 19]', '[2421, 807, 12*w^3 + 8*w^2 - 43*w - 20]', '[2421, 807, -16*w^3 - 4*w^2 + 55*w + 6]', '[2439, 813, -15*w^3 - 4*w^2 + 53*w + 4]', '[2439, 813, 10*w^3 + 7*w^2 - 37*w - 18]', '[2439, 813, -8*w^3 - 3*w^2 + 28*w + 1]', '[2439, 813, -6*w^3 - w^2 + 23*w - 5]', '[2459, 2459, -3*w^3 + 2*w^2 + 5*w - 6]', '[2459, 2459, 5*w^3 - 4*w^2 - 17*w + 11]', '[2459, 2459, 7*w^3 - 24*w + 9]', '[2459, 2459, -9*w^3 - 2*w^2 + 31*w - 2]', '[2480, 310, -6*w^3 - 2*w^2 + 22*w - 2]', '[2480, 310, 2*w^3 - 4*w^2 - 8*w + 8]', '[2480, 310, 4*w^3 + 4*w^2 - 10*w - 10]', '[2480, 310, -2*w^2 + 4*w + 6]', '[2511, 93, 6*w - 3]', '[2511, 93, -6*w^2 + 15]', '[2511, 93, -6*w^3 - 6*w^2 + 18*w + 9]', '[2511, 93, -6*w^3 + 24*w - 3]', '[2521, 2521, 8*w^3 + w^2 - 25*w - 1]', '[2521, 2521, -5*w^3 + w^2 + 21*w - 3]', '[2521, 2521, 7*w^3 - 20*w - 1]', '[2521, 2521, -7*w^3 + w^2 + 22*w - 9]', '[2545, 2545, 3*w^3 + 5*w^2 - 11*w - 8]', '[2545, 2545, -8*w^3 - 3*w^2 + 21*w + 1]', '[2545, 2545, -2*w^3 - 2*w^2 + 9*w - 6]', '[2545, 2545, 3*w^3 - w - 3]', '[2549, 2549, 2*w^3 + 5*w^2 - 4*w - 16]', '[2549, 2549, 7*w^3 + 4*w^2 - 22*w - 11]', '[2549, 2549, 3*w^3 + 2*w^2 - 14*w - 7]', '[2549, 2549, -6*w^3 + w^2 + 22*w - 12]', '[2551, 2551, 6*w^3 - w^2 - 18*w + 6]', '[2551, 2551, 4*w^3 + w^2 - 11*w + 8]', '[2551, 2551, -3*w^3 - w^2 + 9*w - 7]', '[2551, 2551, 5*w^3 + w^2 - 16*w - 8]', '[2579, 2579, w^3 + 4*w^2 - 15]', '[2579, 2579, 4*w^3 + 3*w^2 - 16*w + 2]', '[2579, 2579, -3*w^3 - 4*w^2 + 13*w + 11]', '[2579, 2579, w^3 + 4*w^2 + w - 14]', '[2581, 2581, -3*w^2 - 2*w - 2]', '[2581, 2581, -7*w^3 + w^2 + 22*w - 4]', '[2581, 2581, -6*w^3 + w^2 + 24*w - 5]', '[2581, 2581, 2*w^3 + 2*w^2 - 3]', '[2581, 2581, 6*w^2 - 2*w - 11]', '[2581, 2581, 2*w^3 + 2*w^2 - 9*w - 12]', '[2581, 2581, 6*w^2 - w - 15]', '[2581, 2581, -6*w^3 + w^2 + 17*w - 7]', '[2581, 2581, 8*w^3 + 6*w^2 - 26*w - 11]', '[2581, 2581, w^3 + w^2 + 3*w - 5]', '[2581, 2581, -8*w^3 - w^2 + 25*w - 4]', '[2581, 2581, -3*w^3 - 2*w^2 + 12*w - 7]', '[2581, 2581, -7*w^3 - w^2 + 20*w + 1]', '[2581, 2581, w^3 + 3*w^2 - w - 16]', '[2581, 2581, 7*w^3 + 6*w^2 - 22*w - 8]', '[2581, 2581, -6*w^3 + 2*w^2 + 24*w - 11]', '[2609, 2609, 7*w^3 + 2*w^2 - 19*w - 6]', '[2609, 2609, -5*w^3 + 2*w^2 + 13*w - 11]', '[2609, 2609, -7*w^3 + 2*w^2 + 23*w - 4]', '[2609, 2609, -9*w^3 - 2*w^2 + 29*w - 5]', '[2655, 885, 7*w^3 - w^2 - 24*w + 14]', '[2655, 885, w^3 - 5*w^2 - w + 15]', '[2655, 885, 2*w^3 - 7*w^2 - 11*w + 18]', '[2655, 885, -w^3 - 7*w^2 + w + 12]', '[2671, 2671, 4*w^3 + 5*w^2 - 15*w - 8]', '[2671, 2671, -w^3 + 3*w^2 + 8*w - 9]', '[2671, 2671, 4*w^3 + 5*w^2 - 15*w - 9]', '[2671, 2671, -w^3 + 3*w^2 + 8*w - 8]', '[2699, 2699, 7*w^3 - w^2 - 25*w + 2]', '[2699, 2699, -9*w^3 - 4*w^2 + 31*w + 3]', '[2699, 2699, -5*w^3 + 4*w^2 + 19*w - 12]', '[2699, 2699, -5*w^3 - 4*w^2 + 11*w + 8]', '[2705, 2705, 3*w^3 + w^2 - 4*w - 7]', '[2705, 2705, 5*w^3 + 2*w^2 - 9*w - 6]', '[2705, 2705, -4*w^3 - 3*w^2 + 9*w + 8]', '[2705, 2705, -6*w^3 - 3*w^2 + 14*w + 6]', '[2729, 2729, 3*w^3 - 2*w^2 - 7*w + 10]', '[2729, 2729, -7*w^3 - 5*w^2 + 24*w + 3]', '[2729, 2729, w^3 + 5*w^2 - 6*w - 14]', '[2729, 2729, -7*w^3 - 2*w^2 + 23*w - 4]', '[2731, 2731, 3*w^3 - 11*w - 6]', '[2731, 2731, -w^3 + 2*w^2 + 3*w - 13]', '[2731, 2731, 6*w^3 - 2*w^2 - 18*w + 9]', '[2731, 2731, 6*w^3 - 16*w + 1]', '[2745, 915, -4*w^3 - 5*w^2 + 6*w + 7]', '[2745, 915, -w^3 + w^2 + 9*w - 8]', '[2745, 915, -5*w^3 + 5*w^2 + 21*w - 19]', '[2745, 915, -4*w^3 + w^2 + 18*w - 2]', '[2759, 2759, -4*w^3 + 4*w^2 + 11*w - 6]', '[2759, 2759, 9*w^3 + 4*w^2 - 28*w - 9]', '[2759, 2759, 5*w^3 + w^2 - 11*w + 4]', '[2759, 2759, w^3 - 4*w^2 - 4*w + 5]', '[2759, 2759, 12*w^3 + 5*w^2 - 38*w - 2]', '[2759, 2759, -4*w^3 - 4*w^2 + 11*w + 12]', '[2759, 2759, -5*w^3 - w^2 + 19*w - 6]', '[2759, 2759, 5*w^3 - 5*w^2 - 13*w + 16]', '[2759, 2759, 8*w^3 + 5*w^2 - 30*w - 16]', '[2759, 2759, 8*w^3 - w^2 - 28*w + 12]', '[2759, 2759, 7*w^3 + 2*w^2 - 16*w - 5]', '[2759, 2759, -10*w^3 + 2*w^2 + 35*w - 8]', '[2759, 2759, 2*w^3 - 6*w^2 - 11*w + 26]', '[2759, 2759, -3*w^3 - 5*w^2 + 15*w - 2]', '[2759, 2759, w^2 - 4*w - 6]', '[2759, 2759, -3*w^3 - 6*w^2 + 4*w + 3]', '[2789, 2789, 3*w^3 + 4*w^2 - 6*w - 11]', '[2789, 2789, 6*w^3 + 3*w^2 - 22*w]', '[2789, 2789, -2*w^3 + 4*w^2 + 9*w - 8]', '[2789, 2789, -6*w^3 - w^2 + 21*w - 6]', '[2791, 2791, 6*w^3 - 2*w^2 - 18*w + 7]', '[2791, 2791, 7*w^3 + 6*w^2 - 22*w - 10]', '[2791, 2791, -6*w^3 + w^2 + 24*w - 7]', '[2791, 2791, 8*w^3 - 26*w + 5]', '[2819, 2819, -w^3 + w^2 - 3*w - 3]', '[2819, 2819, -2*w^3 + 6*w^2 + 7*w - 13]', '[2819, 2819, -8*w^3 - w^2 + 30*w - 5]', '[2819, 2819, -7*w^3 - 6*w^2 + 20*w + 12]', '[2845, 2845, 3*w^3 + 6*w^2 - 10*w - 8]', '[2845, 2845, 4*w^3 + 3*w^2 - 12*w + 4]', '[2845, 2845, -7*w^3 - w^2 + 18*w - 3]', '[2845, 2845, -3*w^3 - 6*w^2 + 13*w + 6]', '[2851, 2851, 3*w^3 + 6*w^2 - 11*w - 7]', '[2851, 2851, 6*w^2 - w - 14]', '[2851, 2851, -5*w^3 - 6*w^2 + 17*w + 15]', '[2851, 2851, 3*w^3 - 2*w^2 - 15*w + 12]', '[2855, 2855, 4*w^3 + 3*w^2 - 10*w - 9]', '[2855, 2855, w^2 - 7*w - 3]', '[2855, 2855, -6*w^3 - 2*w^2 + 21*w - 3]', '[2855, 2855, -7*w^3 - w^2 + 23*w - 8]', '[2864, 358, -8*w^3 - 2*w^2 + 28*w - 2]', '[2864, 358, 6*w^3 + 4*w^2 - 16*w - 8]', '[2864, 358, -2*w^3 + 2*w^2 + 2*w - 6]', '[2864, 358, -4*w^3 + 4*w^2 + 14*w - 10]', '[2879, 2879, 8*w^3 + 3*w^2 - 23*w - 7]', '[2879, 2879, 6*w^3 - 3*w^2 - 19*w + 6]', '[2879, 2879, 4*w^3 + 3*w^2 - 16*w + 3]', '[2879, 2879, -9*w^3 - w^2 + 30*w - 7]', '[2896, 362, 8*w^3 + 2*w^2 - 24*w]', '[2896, 362, -6*w^3 + 16*w - 2]', '[2896, 362, 8*w^3 - 26*w + 4]', '[2896, 362, -6*w^3 + 2*w^2 + 18*w - 8]', '[2909, 2909, 2*w^3 - 5*w^2 - 8*w + 11]', '[2909, 2909, -7*w^3 - 2*w^2 + 26*w - 2]', '[2909, 2909, 4*w^3 - 2*w^2 - 15*w + 2]', '[2909, 2909, -6*w^3 - 3*w^2 + 20*w - 2]', '[2939, 2939, -7*w^3 + w^2 + 25*w - 12]', '[2939, 2939, 4*w^3 + 3*w^2 - 17*w + 2]', '[2939, 2939, 4*w^3 + w^2 - 8*w + 4]', '[2939, 2939, 4*w^3 + 3*w^2 - 17*w - 9]', '[2969, 2969, 6*w^3 + 3*w^2 - 17*w - 8]', '[2969, 2969, -5*w^3 - 3*w^2 + 19*w - 1]', '[2969, 2969, -7*w^3 - w^2 + 24*w - 6]', '[2969, 2969, -4*w^3 + 3*w^2 + 13*w - 5]', '[2971, 2971, -6*w^3 + 2*w^2 + 17*w - 9]', '[2971, 2971, w^3 - 3*w^2 - 4*w + 16]', '[2971, 2971, 4*w^3 + w^2 - 15*w - 8]', '[2971, 2971, 7*w^3 + w^2 - 19*w - 1]', '[2979, 993, 7*w^3 - 3*w^2 - 26*w + 10]', '[2979, 993, 7*w^3 + 4*w^2 - 22*w - 12]', '[2979, 993, -9*w^3 - 4*w^2 + 29*w + 13]', '[2979, 993, -12*w^3 - 5*w^2 + 40*w + 14]', '[2995, 2995, 2*w^2 - 3*w + 5]', '[2995, 2995, -7*w^3 - w^2 + 17*w + 1]', '[2995, 2995, -3*w^3 - 2*w^2 + 2*w + 6]', '[2995, 2995, 4*w^3 + 6*w^2 - 12*w - 9]', '[2999, 2999, -8*w^3 + 27*w - 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9]', '[4051, 4051, -2*w^3 + w^2 + 12*w - 7]', '[4055, 4055, -3*w^3 + w + 8]', '[4055, 4055, -8*w^3 - 3*w^2 + 16*w + 6]', '[4055, 4055, -8*w^3 - 5*w^2 + 21*w + 8]', '[4055, 4055, -6*w^3 - 6*w^2 + 23*w + 3]', '[4079, 4079, 8*w^3 + w^2 - 28*w + 6]', '[4079, 4079, 7*w^3 + 4*w^2 - 20*w - 9]', '[4079, 4079, -4*w^3 + 4*w^2 + 13*w - 8]', '[4079, 4079, -3*w^3 + w^2 + 5*w - 6]', '[4096, 8, 8]', '[4111, 4111, 7*w^3 - 28*w + 2]', '[4111, 4111, 7*w^2 - 19]', '[4111, 4111, -2*w^3 + 8*w + 7]', '[4111, 4111, -7*w^3 - 7*w^2 + 21*w + 9]', '[4139, 4139, -5*w^3 + w^2 + 13*w - 12]', '[4139, 4139, 7*w^3 + 2*w^2 - 20*w - 9]', '[4139, 4139, 6*w^3 + 3*w^2 - 23*w + 1]', '[4139, 4139, 6*w^3 - 2*w^2 - 19*w]', '[4176, 174, 4*w^3 + 6*w^2 - 14*w - 14]', '[4176, 174, 2*w^3 - 2*w^2 - 12*w + 4]', '[4176, 174, -4*w^3 - 6*w^2 + 14*w + 8]', '[4176, 174, -2*w^3 + 2*w^2 + 12*w - 10]', '[4195, 4195, 9*w^3 + 3*w^2 - 25*w + 1]', '[4195, 4195, 7*w^3 + 9*w^2 - 21*w - 8]', '[4195, 4195, 5*w^3 + 6*w^2 - 17*w - 8]', '[4195, 4195, -2*w^3 - 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28*w - 1]', '[4259, 4259, 9*w^3 + 4*w^2 - 31*w - 2]', '[4261, 4261, -8*w^3 + 2*w^2 + 26*w - 11]', '[4261, 4261, 7*w^3 + 6*w^2 - 24*w - 12]', '[4261, 4261, 10*w^3 + 2*w^2 - 32*w - 1]', '[4261, 4261, -4*w^3 + 3*w^2 + 18*w - 13]', '[4289, 4289, -7*w^3 - 3*w^2 + 23*w - 3]', '[4289, 4289, -5*w^3 - 5*w^2 + 13*w + 12]', '[4289, 4289, w^3 + 2*w^2 - 7*w - 11]', '[4289, 4289, 7*w^3 + 2*w^2 - 26*w + 3]', '[4304, 538, -6*w^3 - 4*w^2 + 14*w + 8]', '[4304, 538, -4*w^3 - 6*w^2 + 10*w + 16]', '[4304, 538, -6*w^3 - 4*w^2 + 18*w + 14]', '[4304, 538, 10*w^3 + 4*w^2 - 34*w - 2]', '[4311, 1437, -7*w^3 - 8*w^2 + 24*w + 22]', '[4311, 1437, -4*w^3 + w^2 + 18*w - 5]', '[4311, 1437, 10*w^3 - w^2 - 33*w + 5]', '[4311, 1437, -11*w^3 - 4*w^2 + 39*w + 14]', '[4321, 4321, -w - 8]', '[4321, 4321, -4*w^3 + w^2 + 18*w - 6]', '[4321, 4321, -3*w^3 + 3*w^2 + 15*w - 13]', '[4321, 4321, -6*w^3 + w^2 + 25*w - 3]', '[4321, 4321, -2*w^3 + 2*w^2 + 8*w - 15]', '[4321, 4321, -11*w^3 - 2*w^2 + 36*w - 1]', '[4321, 4321, 2*w^3 + 7*w^2 - 6*w - 19]', '[4321, 4321, -9*w^3 + 2*w^2 + 30*w - 12]', '[4321, 4321, 4*w^3 + 2*w^2 - 14*w - 11]', '[4321, 4321, -11*w^3 - 3*w^2 + 35*w + 3]', '[4321, 4321, 6*w^3 + 6*w^2 - 21*w - 13]', '[4321, 4321, 5*w^3 + 6*w^2 - 16*w - 11]', '[4321, 4321, -8*w^3 + 3*w^2 + 26*w - 12]', '[4321, 4321, -5*w^3 + 22*w]', '[4321, 4321, w^3 + 7*w^2 - 4*w - 19]', '[4321, 4321, w^3 + w^2 - 3*w - 10]', '[4336, 542, 10*w^3 + 2*w^2 - 32*w]', '[4336, 542, -4*w^3 - 2*w^2 + 12*w + 12]', '[4336, 542, 8*w^3 + 2*w^2 - 22*w]', '[4336, 542, 6*w^3 - 2*w^2 - 16*w + 6]', '[4349, 4349, -9*w^3 - 5*w^2 + 32*w + 4]', '[4349, 4349, -4*w^3 - 5*w^2 + 7*w + 12]', '[4349, 4349, -6*w^3 + 23*w - 10]', '[4349, 4349, -6*w^3 - 5*w^2 + 18*w + 14]', '[4379, 4379, -9*w^3 - 5*w^2 + 27*w + 10]', '[4379, 4379, 4*w^3 - 7*w + 4]', '[4379, 4379, -w^3 - 7*w^2 + 2*w + 10]', '[4379, 4379, w^3 + 2*w^2 - 7*w - 10]', '[4379, 4379, -3*w^3 + 5*w^2 + 13*w - 12]', '[4379, 4379, 5*w^3 + 2*w^2 - 19*w + 6]', '[4379, 4379, -w^3 - 4*w^2 + 8*w + 9]', '[4379, 4379, -4*w^3 - 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2*w + 7]', '[4495, 4495, 3*w^3 + 6*w^2 - 10*w - 13]', '[4495, 4495, 3*w^3 - w^2 - 15*w + 4]', '[4495, 4495, -2*w^3 + w^2 + 12*w - 6]', '[4495, 4495, 2*w^3 + 2*w^2 - 5*w + 5]', '[4495, 4495, 3*w^3 - 2*w^2 - 15*w + 10]', '[4495, 4495, -w^3 + 2*w^2 + 4*w - 14]', '[4495, 4495, -3*w^3 - 6*w^2 + 11*w + 9]', '[4495, 4495, 7*w^3 - w^2 - 21*w + 7]', '[4495, 4495, 3*w^3 + w^2 - 11*w - 9]', '[4495, 4495, -w^3 + 2*w^2 + 9*w - 4]', '[4495, 4495, 8*w^3 - 25*w + 3]', '[4495, 4495, 5*w^3 + 6*w^2 - 17*w - 13]', '[4495, 4495, -4*w^3 - 6*w^2 + 13*w + 10]', '[4495, 4495, -8*w^3 - w^2 + 24*w - 3]', '[4495, 4495, -7*w^3 + 20*w - 2]', '[4525, 905, -w^2 - 2*w - 6]', '[4525, 905, w^3 + 2*w^2 - 4*w + 5]', '[4525, 905, 2*w^3 + 2*w^2 - 7*w - 12]', '[4525, 905, w^3 - w^2 - 5*w + 12]', '[4561, 4561, -7*w^3 - 7*w^2 + 21*w + 10]', '[4561, 4561, -3*w^3 + 12*w + 7]', '[4561, 4561, 7*w^3 - 28*w + 3]', '[4561, 4561, 7*w^3 - 18*w]', '[4581, 1527, -10*w^3 - 7*w^2 + 34*w + 15]', '[4581, 1527, -4*w^3 - w^2 + 13*w + 9]', '[4581, 1527, 7*w^3 - 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14]', '[4621, 4621, 11*w^3 + 2*w^2 - 36*w - 1]', '[4645, 4645, -3*w^2 + 3*w - 4]', '[4645, 4645, -7*w^3 + 17*w]', '[4645, 4645, -3*w^3 - 7*w^2 + 13*w + 7]', '[4645, 4645, -4*w^3 - 7*w^2 + 12*w + 10]', '[4649, 4649, -9*w^3 - 4*w^2 + 30*w + 1]', '[4649, 4649, -6*w^3 - 2*w^2 + 25*w - 5]', '[4649, 4649, -4*w^3 - 7*w^2 + 10*w + 19]', '[4649, 4649, 9*w^3 + 5*w^2 - 29*w - 2]', '[4651, 4651, 5*w^3 + 6*w^2 - 18*w - 13]', '[4651, 4651, 7*w^3 + 6*w^2 - 24*w - 10]', '[4651, 4651, -4*w^3 - 6*w^2 + 15*w + 8]', '[4651, 4651, 2*w^3 - 3*w^2 - 12*w + 12]', '[4679, 4679, -7*w^3 - 3*w^2 + 25*w - 1]', '[4679, 4679, 7*w^3 + w^2 - 24*w + 8]', '[4679, 4679, -4*w^3 + 3*w^2 + 13*w - 3]', '[4679, 4679, -3*w^3 + 4*w^2 + 12*w - 8]', '[4681, 4681, -w^3 - 7*w^2 + 9*w + 9]', '[4681, 4681, 4*w^3 + 6*w^2 - 13*w - 11]', '[4681, 4681, 5*w^3 + 6*w^2 - 8*w - 8]', '[4681, 4681, 3*w^2 + 8*w - 1]', '[4681, 4681, -3*w^3 + w^2 + 15*w - 5]', '[4681, 4681, -3*w^3 - 6*w^2 + 10*w + 12]', '[4681, 4681, -w^3 + 4*w^2 + 10*w - 16]', '[4681, 4681, -12*w^3 - 7*w^2 + 42*w + 13]', '[4681, 4681, -2*w^3 + w^2 + 12*w - 5]', '[4681, 4681, -5*w^3 - 7*w^2 + 19*w + 17]', '[4681, 4681, 2*w^3 - 4*w^2 - 13*w + 7]', '[4681, 4681, -5*w^3 + 3*w^2 + 23*w - 19]', '[4681, 4681, 8*w^3 + 8*w^2 - 27*w - 21]', '[4681, 4681, -3*w^3 - 8*w^2 + 12*w + 8]', '[4681, 4681, 6*w^3 - 6*w^2 - 25*w + 23]', '[4681, 4681, -6*w^3 - 7*w^2 + 22*w + 7]', '[4720, 590, 10*w^3 - 4*w^2 - 34*w + 20]', '[4720, 590, -4*w^3 - 6*w^2 + 12*w + 24]', '[4720, 590, 8*w^3 - 6*w^2 - 32*w + 22]', '[4720, 590, 2*w^3 - 4*w^2 - 12*w + 14]', '[4779, 177, -3*w^3 - 3*w^2 + 6*w + 15]', '[4779, 177, 3*w^3 - 6*w^2 - 12*w + 15]', '[4779, 177, 9*w^3 - 30*w + 12]', '[4779, 177, 6*w^3 + 3*w^2 - 21*w + 6]', '[4799, 4799, 5*w^2 + w - 3]', '[4799, 4799, 6*w^2 - 3*w - 17]', '[4799, 4799, -8*w^3 - 3*w^2 + 26*w - 3]', '[4799, 4799, -9*w^3 - 6*w^2 + 30*w + 4]', '[4801, 4801, -7*w^3 + 2*w^2 + 21*w - 10]', '[4801, 4801, 5*w^3 - w^2 - 22*w + 10]', '[4801, 4801, 3*w^3 - 11*w - 7]', '[4801, 4801, -w^3 + 2*w^2 + 3*w - 14]', '[4805, 155, 3*w^3 - 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24]', '[4880, 610, -16*w^3 - 2*w^2 + 58*w + 4]', '[4889, 4889, 2*w^3 + 4*w^2 - 3*w - 16]', '[4889, 4889, -8*w^3 - w^2 + 29*w - 6]', '[4889, 4889, 7*w^3 + 5*w^2 - 20*w - 11]', '[4889, 4889, -3*w^3 + 5*w^2 + 10*w - 10]', '[4919, 4919, -2*w^3 - 3*w^2 + 12*w + 7]', '[4919, 4919, 4*w^3 + 6*w^2 - 9*w - 15]', '[4919, 4919, -w^3 + 6*w^2 + 6*w - 12]', '[4919, 4919, -8*w^3 + 27*w - 12]', '[4941, 183, -12*w^3 - 3*w^2 + 39*w + 3]', '[4941, 183, -6*w^3 + 3*w^2 + 15*w - 6]', '[4941, 183, 9*w^3 + 3*w^2 - 24*w]', '[4941, 183, -9*w^3 + 3*w^2 + 30*w - 15]', '[4951, 4951, -8*w^3 - 7*w^2 + 25*w + 12]', '[4951, 4951, -3*w^3 - 2*w^2 + 7*w - 6]', '[4951, 4951, -3*w^3 + 2*w^2 + 11*w - 16]', '[4951, 4951, 5*w^3 + 2*w^2 - 17*w - 11]', '[4955, 4955, w^3 - 4*w^2 + 5*w + 5]', '[4955, 4955, -8*w^3 - 5*w^2 + 25*w - 3]', '[4955, 4955, -7*w^3 - 2*w^2 + 16*w - 4]', '[4955, 4955, -8*w^3 - 4*w^2 + 25*w - 4]', '[5009, 5009, 8*w^3 + w^2 - 27*w + 8]', '[5009, 5009, 7*w^3 + 3*w^2 - 20*w - 9]', '[5009, 5009, 6*w^3 + 3*w^2 - 22*w + 2]', '[5009, 5009, 3*w^3 + 4*w^2 - 6*w - 13]', '[5011, 5011, -3*w^3 - 6*w^2 + 11*w + 10]', '[5011, 5011, -3*w^3 + 2*w^2 + 15*w - 9]', '[5011, 5011, 6*w^3 + 6*w^2 - 22*w - 9]', '[5011, 5011, -2*w^3 + 4*w^2 + 12*w - 11]', '[5039, 5039, -8*w^3 - 3*w^2 + 31*w - 1]', '[5039, 5039, -6*w^3 + 4*w^2 + 21*w - 11]', '[5039, 5039, 5*w^3 + 7*w^2 - 12*w - 16]', '[5039, 5039, 10*w^3 + 3*w^2 - 34*w + 1]', '[5041, 71, -8*w^3 + 24*w - 7]', '[5041, 71, 8*w^3 - 24*w + 1]', '[5095, 5095, -5*w^3 - 6*w^2 + 17*w - 2]', '[5095, 5095, 2*w^3 + w^2 + 2*w - 2]', '[5095, 5095, -8*w^3 - w^2 + 23*w - 4]', '[5095, 5095, -w^3 - 7*w^2 + 8*w + 9]', '[5099, 5099, 5*w^3 - 2*w^2 - 18*w]', '[5099, 5099, -7*w^3 - 5*w^2 + 23*w]', '[5099, 5099, -5*w^3 + 2*w^2 + 20*w - 1]', '[5099, 5099, -9*w^3 - 2*w^2 + 32*w - 3]', '[5101, 5101, 3*w^3 - 2*w^2 - 16*w + 13]', '[5101, 5101, -5*w^3 - 7*w^2 + 17*w + 18]', '[5101, 5101, -4*w^3 - 7*w^2 + 14*w + 8]', '[5101, 5101, 7*w^2 - w - 17]', '[5105, 5105, 5*w^3 + 5*w^2 - 11*w - 11]', '[5105, 5105, -w^3 + 6*w^2 + 3*w - 9]', '[5105, 5105, -7*w^3 - 2*w^2 + 16*w + 6]', '[5105, 5105, -6*w^3 - 4*w^2 + 11*w + 9]', '[5121, 1707, 11*w^3 - 37*w + 5]', '[5121, 1707, -14*w^3 - 2*w^2 + 47*w + 3]', '[5121, 1707, -7*w^3 + 2*w^2 + 28*w - 9]', '[5121, 1707, -4*w^3 - 7*w^2 + 13*w + 18]', '[5139, 1713, 22*w^3 + 5*w^2 - 78*w - 13]', '[5139, 1713, 4*w^3 + 5*w^2 - 9*w - 13]', '[5139, 1713, -5*w^3 - 10*w^2 + 15*w + 32]', '[5139, 1713, -7*w^3 - 2*w^2 + 24*w - 5]', '[5189, 5189, -8*w^3 - 3*w^2 + 21*w + 7]', '[5189, 5189, -11*w^3 - 3*w^2 + 36*w - 3]', '[5189, 5189, -5*w^3 + 3*w^2 + 12*w - 12]', '[5189, 5189, -8*w^3 + 3*w^2 + 27*w - 8]', '[5191, 5191, 7*w^3 + 7*w^2 - 23*w - 16]', '[5191, 5191, 4*w^3 + w^2 - 15*w - 9]', '[5191, 5191, 5*w^3 + 6*w^2 - 17*w - 10]', '[5191, 5191, -5*w^3 + 2*w^2 + 22*w - 13]', '[5191, 5191, -10*w^3 - 3*w^2 + 30*w]', '[5191, 5191, -w^3 + 3*w^2 + 4*w - 17]', '[5191, 5191, 2*w^2 + 7*w - 2]', '[5191, 5191, 2*w^3 + 7*w^2 - 8*w - 10]', '[5191, 5191, 3*w^3 + 6*w^2 - 11*w - 12]', '[5191, 5191, -3*w^3 + 2*w^2 + 15*w - 7]', '[5191, 5191, -w^2 + 3*w - 8]', '[5191, 5191, -10*w^3 + 33*w - 4]', '[5191, 5191, -w^3 + 2*w^2 + 9*w - 7]', '[5191, 5191, -3*w^3 - 3*w^2 + 8*w - 4]', '[5191, 5191, -7*w^3 + 3*w^2 + 21*w - 12]', '[5191, 5191, -7*w^3 + 18*w - 1]', '[5245, 5245, 2*w^3 + 2*w^2 + w - 4]', '[5245, 5245, -3*w^3 - 5*w^2 + 11*w - 2]', '[5245, 5245, 2*w^3 + 7*w^2 - 9*w - 9]', '[5245, 5245, 7*w^3 - 19*w + 3]', '[5249, 5249, 8*w^3 + 3*w^2 - 28*w + 1]', '[5249, 5249, -w^3 + 3*w^2 - w - 9]', '[5249, 5249, -2*w^3 + w^2 - 4]', '[5249, 5249, -3*w^3 - 3*w^2 + 14*w + 10]', '[5249, 5249, -5*w^2 - 3*w + 6]', '[5249, 5249, -8*w^3 - 6*w^2 + 23*w + 12]', '[5249, 5249, -6*w^3 + 24*w - 11]', '[5249, 5249, -5*w^3 - 3*w^2 + 20*w - 3]', '[5249, 5249, 9*w^3 + w^2 - 33*w + 6]', '[5249, 5249, -3*w^3 + 6*w^2 + 10*w - 13]', '[5249, 5249, 6*w^2 - 7]', '[5249, 5249, 4*w^3 - 4*w^2 - 15*w + 9]', '[5249, 5249, 2*w^3 + 5*w^2 - 3*w - 17]', '[5249, 5249, 5*w^3 + 4*w^2 - 12*w - 10]', '[5249, 5249, -6*w^3 - 6*w^2 + 18*w + 17]', '[5249, 5249, 6*w + 5]', '[5251, 5251, -6*w^3 + 25*w - 5]', '[5251, 5251, 5*w^3 - 22*w + 1]', '[5251, 5251, 7*w^2 - w - 16]', '[5251, 5251, w^3 - 4*w^2 - 9*w + 12]', '[5251, 5251, -2*w^3 + 2*w^2 + 7*w - 15]', '[5251, 5251, -6*w^3 + w^2 + 25*w - 9]', '[5251, 5251, -2*w^3 + 3*w^2 + 8*w - 18]', '[5251, 5251, 5*w^3 + 6*w^2 - 19*w - 11]', '[5251, 5251, -7*w^3 + w^2 + 28*w - 7]', '[5251, 5251, 5*w^3 + 6*w^2 - 19*w - 9]', '[5251, 5251, 10*w^3 + w^2 - 32*w + 5]', '[5251, 5251, 7*w^3 - 3*w^2 - 21*w + 10]', '[5251, 5251, 7*w^3 - w^2 - 20*w + 7]', '[5251, 5251, -9*w^3 - w^2 + 28*w - 4]', '[5251, 5251, 8*w^3 + 7*w^2 - 25*w - 11]', '[5251, 5251, -w^3 + 4*w^2 + 9*w - 10]', '[5255, 5255, -5*w^3 - 4*w^2 + 20*w - 1]', '[5255, 5255, -5*w^3 + w^2 + 10*w - 6]', '[5255, 5255, -6*w^3 - 5*w^2 + 22*w + 1]', '[5255, 5255, -6*w^3 - w^2 + 12*w - 3]', '[5275, 1055, 2*w^3 - 3*w^2 - 12*w + 8]', '[5275, 1055, -3*w^3 - 6*w^2 + 12*w + 10]', '[5275, 1055, 4*w^3 + 6*w^2 - 15*w - 12]', '[5275, 1055, -3*w^2 - 6*w + 7]', '[5279, 5279, -8*w^3 - 2*w^2 + 26*w - 7]', '[5279, 5279, -6*w^3 + 2*w^2 + 20*w - 1]', '[5279, 5279, 3*w^3 + 4*w^2 - 15*w - 9]', '[5279, 5279, 3*w^3 + 6*w^2 - 5*w - 16]', '[5281, 5281, 3*w^2 + 6*w - 8]', '[5281, 5281, 5*w^3 + 6*w^2 - 18*w - 12]', '[5281, 5281, 3*w^3 + 6*w^2 - 12*w - 11]', '[5281, 5281, 6*w^3 + 6*w^2 - 21*w - 10]', '[5296, 662, -2*w^3 + 4*w^2 + 12*w - 12]', '[5296, 662, -4*w^3 - 6*w^2 + 14*w + 10]', '[5296, 662, 4*w^3 + 6*w^2 - 16*w - 10]', '[5296, 662, 6*w^3 + 6*w^2 - 22*w - 10]', '[5309, 5309, -3*w^3 - 2*w^2 + 5*w + 11]', '[5309, 5309, 5*w^3 - 2*w^2 - 19*w + 1]', '[5309, 5309, -9*w^3 - 2*w^2 + 33*w - 3]', '[5309, 5309, -7*w^3 - 4*w^2 + 23*w - 2]', '[5391, 1797, w^3 + 2*w^2 - 3*w - 13]', '[5391, 1797, -11*w^3 - 7*w^2 + 39*w + 14]', '[5391, 1797, -11*w^3 - w^2 + 42*w - 4]', '[5391, 1797, 14*w^3 + w^2 - 48*w + 4]', '[5399, 5399, -4*w^3 - 3*w^2 + 18*w + 9]', '[5399, 5399, -6*w^3 - 3*w^2 + 15*w + 8]', '[5399, 5399, 5*w^3 + 3*w^2 - 21*w + 3]', '[5399, 5399, -8*w^3 - 5*w^2 + 27*w + 2]', '[5409, 1803, -10*w^3 + 35*w + 2]', '[5409, 1803, -9*w^3 - 7*w^2 + 29*w + 19]', '[5409, 1803, -14*w^3 + 49*w - 2]', '[5409, 1803, -3*w^3 - 5*w^2 + 7*w + 17]', '[5429, 5429, 3*w^3 + 6*w^2 - 6*w - 17]', '[5429, 5429, -4*w^3 + 6*w^2 + 13*w - 14]', '[5429, 5429, -6*w^3 - 4*w^2 + 21*w - 2]', '[5429, 5429, 7*w^3 - 2*w^2 - 23*w + 2]', '[5429, 5429, 8*w^3 + 5*w^2 - 26*w - 1]', '[5429, 5429, -8*w^3 - 2*w^2 + 31*w - 4]', '[5429, 5429, 2*w^3 + 3*w^2 - 2*w - 14]', '[5429, 5429, -8*w^3 - 3*w^2 + 27*w - 2]', '[5429, 5429, 5*w^3 + 6*w^2 - 11*w - 13]', '[5429, 5429, -w^3 - 4*w^2 + 9*w + 8]', '[5429, 5429, -10*w^3 - w^2 + 36*w - 6]', '[5429, 5429, 6*w^3 + 3*w^2 - 24*w + 2]', '[5429, 5429, -w^3 + 7*w^2 + 5*w - 14]', '[5429, 5429, -9*w^3 - 2*w^2 + 29*w - 7]', '[5429, 5429, 5*w^3 + 3*w^2 - 12*w - 9]', '[5429, 5429, 6*w^3 + 7*w^2 - 16*w - 16]', '[5431, 5431, 9*w^3 + 7*w^2 - 29*w - 11]', '[5431, 5431, 6*w^3 + 7*w^2 - 20*w - 17]', '[5431, 5431, 7*w^2 - 2*w - 15]', '[5431, 5431, 3*w^3 + 7*w^2 - 11*w - 9]', '[5445, 165, 4*w^3 + 6*w^2 - 14*w - 11]', '[5445, 165, -2*w^3 + 2*w^2 + 12*w - 7]', '[5519, 5519, -4*w^3 + 4*w^2 + 9*w - 13]', '[5519, 5519, -8*w^3 + 3*w^2 + 28*w - 9]', '[5519, 5519, -7*w^3 - 3*w^2 + 17*w + 7]', '[5519, 5519, -11*w^3 - 4*w^2 + 36*w]', '[5521, 5521, 9*w^3 - w^2 - 29*w + 10]', '[5521, 5521, 8*w^3 + w^2 - 22*w + 4]', '[5521, 5521, -6*w^3 + 2*w^2 + 25*w - 7]', '[5521, 5521, 10*w^3 + 2*w^2 - 31*w - 2]', '[5545, 5545, -8*w^3 + 17*w - 1]', '[5545, 5545, 8*w - 7]', '[5545, 5545, w^3 + w^2 - 3*w + 7]', '[5545, 5545, -7*w^3 - 8*w^2 + 22*w + 8]', '[5549, 5549, -2*w^3 + 4*w^2 + w - 9]', '[5549, 5549, -w^3 + 7*w^2 - w - 5]', '[5549, 5549, 8*w^3 + 2*w^2 - 27*w + 5]', '[5549, 5549, -7*w^3 - 6*w^2 + 24*w + 2]', '[5549, 5549, -7*w^3 - 5*w^2 + 17*w + 9]', '[5549, 5549, 2*w^3 + 6*w^2 - 9*w - 19]', '[5549, 5549, 5*w^3 + 4*w^2 - 8*w + 2]', '[5549, 5549, -5*w^3 + 3*w^2 + 17*w - 5]', '[5549, 5549, 6*w^3 + 3*w^2 - 16*w - 9]', '[5549, 5549, -11*w^3 - 4*w^2 + 38*w + 2]', '[5549, 5549, 8*w^3 - 4*w^2 - 31*w + 25]', '[5549, 5549, -w^3 - 3*w^2 - 3*w + 15]', '[5549, 5549, 4*w^3 - 3*w^2 - 18*w + 3]', '[5549, 5549, 3*w^3 - 2*w^2 - 6*w + 10]', '[5549, 5549, 12*w^3 + 7*w^2 - 40*w - 19]', '[5549, 5549, 6*w^3 - 5*w^2 - 22*w + 15]', '[5581, 5581, -11*w^3 - 3*w^2 + 34*w - 1]', '[5581, 5581, 6*w^3 + 7*w^2 - 18*w - 11]', '[5581, 5581, -7*w^3 + 3*w^2 + 20*w - 12]', '[5581, 5581, 8*w^3 + w^2 - 21*w - 1]', '[5611, 5611, -6*w^3 + 4*w^2 + 25*w - 18]', '[5611, 5611, -3*w^3 - 4*w^2 + 2*w + 5]', '[5611, 5611, 5*w^3 - 5*w^2 - 23*w + 24]', '[5611, 5611, 3*w^3 + 8*w^2 - 14*w - 7]', '[5611, 5611, -4*w^3 + 2*w^2 + 19*w - 4]', '[5611, 5611, w^3 - 3*w^2 - 9*w + 8]', '[5611, 5611, -4*w^3 - 6*w^2 + 15*w + 10]', '[5611, 5611, w^3 + 7*w^2 - 7*w - 10]', '[5611, 5611, -10*w^3 - 7*w^2 + 34*w + 14]', '[5611, 5611, -2*w^3 + 3*w^2 + 12*w - 10]', '[5611, 5611, 5*w^3 + 6*w^2 - 18*w - 11]', '[5611, 5611, 2*w^3 + 5*w^2 + 2*w - 4]', '[5611, 5611, -10*w^3 - 8*w^2 + 35*w + 20]', '[5611, 5611, 3*w^3 + 7*w^2 - 11*w - 18]', '[5611, 5611, -6*w^3 - 7*w^2 + 20*w + 8]', '[5611, 5611, w^3 - 2*w^2 - 10*w + 11]', '[5625, 15, 5*w^3 + 5*w^2 - 20*w - 15]', '[5639, 5639, 5*w^3 - 2*w^2 - 19*w]', '[5639, 5639, 7*w^3 + 4*w^2 - 23*w + 3]', '[5639, 5639, -10*w^3 - 2*w^2 + 36*w - 3]', '[5639, 5639, -4*w^3 + 6*w^2 + 14*w - 15]', '[5641, 5641, 2*w^3 - 2*w^2 - 13*w + 12]', '[5641, 5641, -2*w^3 - 2*w^2 + 7*w - 6]', '[5641, 5641, -4*w^3 - 7*w^2 + 14*w + 18]', '[5641, 5641, -5*w^3 - 7*w^2 + 17*w + 8]', '[5669, 5669, -3*w^3 - 6*w^2 + 7*w + 19]', '[5669, 5669, 3*w^3 + 2*w^2 - 15*w - 8]', '[5669, 5669, -6*w^3 - 2*w^2 + 14*w + 7]', '[5669, 5669, -4*w^3 + 4*w^2 + 10*w - 15]', '[5679, 1893, -19*w^3 - 6*w^2 + 68*w + 8]', '[5679, 1893, 16*w^3 + w^2 - 58*w]', '[5679, 1893, -9*w^3 - 2*w^2 + 31*w - 4]', '[5679, 1893, 12*w^3 - w^2 - 43*w + 13]', '[5701, 5701, -6*w^3 + 2*w^2 + 25*w - 12]', '[5701, 5701, -5*w^3 - w^2 + 17*w + 9]', '[5701, 5701, -3*w^3 + 2*w^2 + 10*w - 16]', '[5701, 5701, -8*w^3 - 7*w^2 + 26*w + 14]', '[5744, 718, 4*w^3 + 4*w^2 - 18*w - 10]', '[5744, 718, 6*w^3 + 4*w^2 - 24*w]', '[5744, 718, 2*w^3 + 6*w^2 - 2*w - 18]', '[5744, 718, 6*w^2 + 4*w - 10]', '[5776, 38, -2*w^3 + 6*w + 8]', '[5776, 38, 8*w^3 - 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4*w^2 + 39*w + 1]', '[9599, 9599, -5*w^3 - 3*w^2 + 12*w + 12]', '[9599, 9599, -9*w^3 - 3*w^2 + 33*w - 2]', '[9599, 9599, -4*w^3 + 3*w^2 + 10*w - 18]', '[9601, 9601, -2*w^3 + 5*w^2 + 13*w - 15]', '[9601, 9601, 3*w^3 + 9*w^2 - 7*w - 19]', '[9601, 9601, 5*w^2 + 7*w - 12]', '[9601, 9601, 4*w^3 + 9*w^2 - 10*w - 19]', '[9616, 1202, 2*w^3 - 14*w + 2]', '[9616, 1202, 6*w^3 + 8*w^2 - 18*w - 16]', '[9616, 1202, 6*w^3 - 26*w + 6]', '[9616, 1202, 2*w^3 + 8*w^2 - 6*w - 16]', '[9629, 9629, -2*w^3 + 5*w^2 + 2*w - 14]', '[9629, 9629, 11*w^3 + 5*w^2 - 37*w - 2]', '[9629, 9629, 6*w^3 + 4*w^2 - 13*w - 10]', '[9629, 9629, 7*w^3 - 4*w^2 - 26*w + 11]', '[9631, 9631, -2*w^3 + 3*w^2 + 7*w - 19]', '[9631, 9631, 8*w^3 - 2*w^2 - 23*w + 10]', '[9631, 9631, 9*w^3 + w^2 - 25*w]', '[9631, 9631, 5*w^3 + w^2 - 18*w - 10]', '[9661, 9661, -4*w^3 - 7*w^2 + 15*w + 11]', '[9661, 9661, 6*w^3 + 7*w^2 - 21*w - 14]', '[9661, 9661, 4*w^3 + 7*w^2 - 16*w - 13]', '[9661, 9661, 7*w^3 + 7*w^2 - 25*w - 11]', '[9680, 110, -10*w^3 + 2*w^2 + 36*w - 6]', '[9680, 110, 10*w^3 + 6*w^2 - 32*w - 18]', '[9689, 9689, w^3 - 6*w^2 - 5*w + 9]', '[9689, 9689, -8*w^3 + 2*w^2 + 28*w - 3]', '[9689, 9689, -10*w^3 - 4*w^2 + 32*w - 3]', '[9689, 9689, -4*w^3 + 4*w^2 + 10*w - 17]', '[9719, 9719, -5*w^3 - 3*w^2 + 9*w + 10]', '[9719, 9719, 11*w^3 + 6*w^2 - 36*w - 3]', '[9719, 9719, -8*w^3 + 3*w^2 + 30*w - 8]', '[9719, 9719, -2*w^3 + 6*w^2 + 3*w - 18]', '[9721, 9721, 5*w^3 + 2*w^2 - 24*w + 1]', '[9721, 9721, 4*w^3 + 9*w^2 - 10*w - 18]', '[9721, 9721, 6*w^3 + 2*w^2 - 27*w]', '[9721, 9721, 3*w^3 + 9*w^2 - 7*w - 20]', '[9725, 1945, 3*w^3 + 3*w^2 - 3*w - 13]', '[9725, 1945, 6*w^3 - 4*w^2 - 21*w + 9]', '[9725, 1945, 6*w^3 - 3*w^2 - 24*w + 5]', '[9725, 1945, -6*w^2 + 3*w + 19]', '[9745, 9745, 7*w^3 + 9*w^2 - 20*w - 12]', '[9745, 9745, 3*w^3 + 3*w^2 - 10]', '[9745, 9745, 7*w^3 + 10*w^2 - 25*w - 8]', '[9745, 9745, 2*w^3 + w^2 - 15*w + 6]', '[9749, 9749, -7*w^3 - 7*w^2 + 19*w + 16]', '[9749, 9749, 6*w^3 - 6*w^2 - 22*w + 17]', '[9749, 9749, -8*w^3 - 6*w^2 + 20*w + 11]', '[9749, 9749, -12*w^3 - 4*w^2 + 42*w + 1]', '[9755, 9755, -9*w^3 - 7*w^2 + 30*w + 3]', '[9755, 9755, -8*w^3 - w^2 + 15*w - 2]', '[9755, 9755, 3*w^3 - 2*w^2 - 5*w + 10]', '[9755, 9755, -4*w^3 - 5*w^2 + 20*w - 4]', '[9781, 9781, w^3 + 8*w^2 - 4*w - 20]', '[9781, 9781, -w^3 + 6*w - 12]', '[9781, 9781, -2*w^3 + 9*w + 9]', '[9781, 9781, 8*w^3 + 8*w^2 - 25*w - 11]', '[9801, 33, 3*w^3 - 9*w - 9]', '[9801, 33, -9*w^3 + 27*w - 3]', '[9811, 9811, -w^3 + 3*w^2 + 10*w - 10]', '[9811, 9811, 7*w^3 + 7*w^2 - 25*w - 13]', '[9811, 9811, 4*w^2 + 7*w - 9]', '[9811, 9811, 4*w^3 + 7*w^2 - 15*w - 14]', '[9839, 9839, -4*w^3 + 5*w^2 + 16*w - 11]', '[9839, 9839, 9*w^3 + 4*w^2 - 32*w]', '[9839, 9839, 4*w^3 - 4*w^2 - 13*w + 4]', '[9839, 9839, 4*w^2 - 5*w - 11]', '[9871, 9871, 9*w^3 + 8*w^2 - 30*w - 10]', '[9871, 9871, -6*w^3 + 3*w^2 + 26*w - 9]', '[9871, 9871, 11*w^3 + 2*w^2 - 34*w - 1]', '[9871, 9871, -9*w^3 - w^2 + 25*w - 4]', '[9895, 9895, 5*w^3 + 5*w^2 - 16*w + 4]', '[9895, 9895, -6*w^3 - 9*w^2 + 18*w + 11]', '[9895, 9895, 9*w^3 + w^2 - 24*w + 4]', '[9895, 9895, -3*w^3 - 8*w^2 + 14*w + 9]', '[9901, 9901, -w^3 + w^2 + 2*w - 13]', '[9901, 9901, 9*w^3 - 2*w^2 - 28*w + 12]', '[9901, 9901, -10*w^3 - 2*w^2 + 29*w - 3]', '[9901, 9901, -3*w^3 - w^2 + 10*w - 10]', '[9929, 9929, -10*w^3 + 36*w - 11]', '[9929, 9929, 10*w^3 + 6*w^2 - 30*w - 13]', '[9929, 9929, 2*w^3 + 5*w^2 - 2*w - 19]', '[9929, 9929, -11*w^3 - w^2 + 37*w - 10]', '[9931, 9931, w^3 + 3*w^2 - 4*w - 17]', '[9931, 9931, -3*w^3 - 3*w^2 + 10*w - 6]', '[9931, 9931, 2*w^3 - w^2 - 9*w - 7]', '[9931, 9931, w^2 + 3*w - 14]', '[9981, 3327, -4*w^3 - 5*w^2 + 12*w + 22]', '[9981, 3327, -5*w^3 - 7*w^2 + 18*w + 14]', '[9981, 3327, -17*w^3 - w^2 + 63*w - 4]', '[9981, 3327, -17*w^3 - 4*w^2 + 57*w + 5]', '[10000, 10, 10]'], 'label': '4.4.1125.1', 'narrow_class_no': 2, 'primes': ['[5, 5, -w^2 + 1]', '[9, 3, w^3 + w^2 - 4*w - 3]', '[16, 2, 2]', '[29, 29, -w^3 - w^2 + 2*w + 3]', '[29, 29, -w^2 + w + 3]', '[29, 29, w^3 - w^2 - 4*w + 2]', '[29, 29, 2*w^3 + w^2 - 7*w]', '[31, 31, -2*w + 1]', '[31, 31, 2*w^2 - 5]', '[31, 31, 2*w^3 + 2*w^2 - 6*w - 3]', '[31, 31, 2*w^3 - 8*w + 1]', '[59, 59, w^3 + w^2 - 2*w - 5]', '[59, 59, -w^3 + 2*w^2 + 4*w - 5]', '[59, 59, -3*w^3 + 10*w - 4]', '[59, 59, -2*w^3 - w^2 + 7*w - 2]', '[61, 61, 4*w^3 + w^2 - 13*w - 1]', '[61, 61, 2*w^3 - w^2 - 5*w + 2]', '[61, 61, -3*w^3 - w^2 + 8*w]', '[61, 61, 3*w^3 - w^2 - 10*w + 5]', '[89, 89, w^3 + w^2 - w - 4]', '[89, 89, 2*w^2 - w - 6]', '[89, 89, -3*w^3 - 2*w^2 + 10*w + 1]', '[89, 89, -2*w^3 + w^2 + 8*w - 2]', '[121, 11, -w^3 + 3*w + 3]', '[121, 11, 3*w^3 - 9*w + 1]', '[149, 149, 3*w^3 + 2*w^2 - 9*w - 5]', '[149, 149, w^3 + 2*w^2 - 2*w - 7]', '[149, 149, w^3 + w^2 - 5*w - 4]', '[149, 149, -3*w^3 + 11*w - 4]', '[151, 151, 3*w^3 - w^2 - 9*w + 3]', '[151, 151, 3*w^3 - 8*w + 2]', '[151, 151, 4*w^3 + w^2 - 12*w - 1]', '[151, 151, -4*w^3 + 13*w - 3]', '[179, 179, -4*w^3 - w^2 + 14*w - 1]', '[179, 179, 3*w^3 + 2*w^2 - 8*w - 4]', '[179, 179, -w^3 + w^2 + w - 3]', '[179, 179, -2*w^3 + 2*w^2 + 7*w - 5]', '[181, 181, 4*w^3 + w^2 - 12*w]', '[181, 181, -3*w^3 + 8*w - 1]', '[181, 181, 4*w^3 - 13*w + 2]', '[181, 181, -3*w^3 + w^2 + 9*w - 4]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 6]', '[211, 211, -w^3 + 6*w - 2]', '[211, 211, 2*w^3 - 9*w + 2]', '[211, 211, 2*w^3 + 3*w^2 - 6*w - 5]', '[239, 239, w^3 + 3*w^2 - 2*w - 10]', '[239, 239, 2*w^3 + w^2 - 9*w - 4]', '[239, 239, 2*w^3 + w^2 - 9*w + 3]', '[239, 239, -w^3 - 3*w^2 + 2*w + 3]', '[241, 241, 5*w^3 + w^2 - 16*w - 1]', '[241, 241, -2*w^3 - 4*w^2 + 5*w + 9]', '[241, 241, 3*w^3 + w^2 - 13*w + 1]', '[241, 241, 5*w^3 - 16*w]', '[269, 269, -3*w^3 - 2*w^2 + 7*w + 4]', '[269, 269, -2*w^3 - 3*w^2 + 5*w + 8]', '[269, 269, -3*w^3 - 2*w^2 + 9*w + 7]', '[269, 269, 5*w^3 + 2*w^2 - 17*w - 1]', '[271, 271, 5*w^3 + w^2 - 16*w]', '[271, 271, -2*w^3 - w^2 + 6*w + 6]', '[271, 271, 4*w^3 + w^2 - 11*w]', '[271, 271, 3*w^3 - w^2 - 8*w + 3]', '[331, 331, -w^3 + 2*w^2 + 6*w - 6]', '[331, 331, -2*w^3 - 3*w^2 + 7*w + 5]', '[331, 331, 2*w^3 + 3*w^2 - 8*w - 5]', '[331, 331, 3*w^3 + 3*w^2 - 11*w - 5]', '[359, 359, 2*w^3 + 2*w^2 - 9*w - 5]', '[359, 359, 3*w^3 + 2*w^2 - 12*w]', '[359, 359, w^3 + 3*w^2 - w - 9]', '[359, 359, 3*w^2 + 2*w - 5]', '[361, 19, -w^3 + 3*w + 4]', '[361, 19, 4*w^3 - 12*w + 1]', '[389, 389, w^3 - 3*w^2 - 3*w + 5]', '[389, 389, 2*w^3 + 2*w^2 - 5*w - 7]', '[389, 389, 4*w^3 + 3*w^2 - 12*w - 7]', '[389, 389, -4*w^3 + 15*w - 5]', '[419, 419, -3*w^3 - 3*w^2 + 8*w + 7]', '[419, 419, -4*w^3 - 2*w^2 + 13*w - 1]', '[419, 419, -4*w^3 - w^2 + 15*w - 2]', '[419, 419, w^3 - 3*w^2 - 4*w + 6]', '[421, 421, w^2 - 7]', '[421, 421, -w^3 + 4*w + 4]', '[421, 421, 4*w^3 - 11*w]', '[421, 421, 4*w^3 - w^2 - 12*w + 6]', '[449, 449, 3*w^3 + 2*w^2 - 11*w + 1]', '[449, 449, -w^3 - 2*w^2 + 5*w + 7]', '[449, 449, -w^3 + 2*w^2 + 5*w - 2]', '[449, 449, w^3 + 2*w^2 - w - 8]', '[479, 479, 2*w^3 + 3*w^2 - 5*w - 9]', '[479, 479, -3*w^2 - w + 4]', '[479, 479, -3*w^3 - w^2 + 12*w - 3]', '[479, 479, w^3 + w^2 - 6*w - 4]', '[509, 509, 4*w^3 + 3*w^2 - 11*w - 6]', '[509, 509, -w^3 + w^2 - 3]', '[509, 509, -2*w^3 + 3*w^2 + 7*w - 7]', '[509, 509, -5*w^3 - w^2 + 18*w - 2]', '[541, 541, -4*w^3 + 11*w - 2]', '[541, 541, -4*w^3 + w^2 + 12*w - 4]', '[541, 541, 5*w^3 - 16*w + 3]', '[541, 541, 5*w^3 + w^2 - 15*w]', '[569, 569, -4*w^3 - w^2 + 14*w - 3]', '[569, 569, 4*w^3 + 2*w^2 - 15*w]', '[569, 569, w^3 - 3*w^2 - 5*w + 6]', '[569, 569, 2*w^3 + 3*w^2 - 4*w - 8]', '[571, 571, -4*w^3 - w^2 + 17*w + 2]', '[571, 571, 3*w^3 + 4*w^2 - 10*w - 10]', '[571, 571, w^3 + 5*w^2 - 2*w - 14]', '[571, 571, -6*w^3 + 20*w - 3]', '[599, 599, -2*w^3 + w^2 + 4*w - 5]', '[599, 599, -4*w^3 - 2*w^2 + 11*w + 5]', '[599, 599, 3*w^3 - 2*w^2 - 10*w + 4]', '[599, 599, -5*w^3 - w^2 + 17*w - 3]', '[601, 601, w^3 - 7*w + 1]', '[601, 601, 3*w^3 + 4*w^2 - 9*w - 8]', '[601, 601, 3*w^3 - 13*w + 3]', '[601, 601, w^3 + 4*w^2 - 3*w - 8]', '[631, 631, 6*w^3 + w^2 - 19*w - 1]', '[631, 631, -3*w^3 + w^2 + 13*w - 3]', '[631, 631, 5*w^3 + w^2 - 14*w + 2]', '[631, 631, -5*w^3 + w^2 + 16*w - 7]', '[659, 659, -6*w^3 - 2*w^2 + 19*w - 2]', '[659, 659, -5*w^3 + w^2 + 17*w - 2]', '[659, 659, -4*w^3 + 15*w - 6]', '[659, 659, -4*w^3 - 3*w^2 + 12*w + 8]', '[661, 661, -5*w^3 + 2*w^2 + 16*w - 7]', '[661, 661, 6*w^3 + 2*w^2 - 17*w - 2]', '[661, 661, -7*w^3 - w^2 + 23*w - 2]', '[661, 661, -4*w^3 + w^2 + 10*w - 4]', '[691, 691, -6*w^3 + 19*w - 6]', '[691, 691, -5*w^3 + w^2 + 15*w - 2]', '[691, 691, 5*w^3 - 14*w + 5]', '[691, 691, 2*w^3 + 4*w^2 - 7*w - 10]', '[719, 719, -7*w^3 - 2*w^2 + 24*w]', '[719, 719, -2*w^3 + 2*w^2 + 3*w - 5]', '[719, 719, -5*w^3 - 3*w^2 + 13*w + 5]', '[719, 719, -4*w^3 + 3*w^2 + 14*w - 9]', '[751, 751, 4*w^3 + 4*w^2 - 14*w - 5]', '[751, 751, 5*w^3 + 4*w^2 - 17*w - 8]', '[751, 751, -3*w^3 + 2*w^2 + 13*w - 9]', '[751, 751, 6*w^3 + w^2 - 19*w]', '[809, 809, w^3 + 3*w^2 - w - 11]', '[809, 809, -5*w^3 + 18*w - 6]', '[809, 809, -6*w^3 - w^2 + 20*w - 4]', '[809, 809, 5*w^3 + 3*w^2 - 15*w - 7]', '[811, 811, 5*w^3 + 4*w^2 - 18*w - 6]', '[811, 811, 7*w^3 + 2*w^2 - 22*w - 1]', '[811, 811, 4*w^3 - 2*w^2 - 11*w + 6]', '[811, 811, 5*w^3 + w^2 - 13*w]', '[839, 839, -4*w^3 - 4*w^2 + 11*w + 9]', '[839, 839, 5*w^3 + w^2 - 19*w + 3]', '[839, 839, -6*w^3 - 2*w^2 + 21*w]', '[839, 839, -5*w^3 - 3*w^2 + 16*w]', '[929, 929, 5*w^3 + w^2 - 17*w + 4]', '[929, 929, 3*w^3 - 2*w^2 - 10*w + 3]', '[929, 929, 4*w^3 + 2*w^2 - 11*w - 6]', '[929, 929, 4*w^3 + 2*w^2 - 15*w + 1]', '[991, 991, 3*w^3 + w^2 - 14*w + 1]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 11]', '[991, 991, 2*w^3 + 5*w^2 - 5*w - 10]', '[991, 991, 3*w^2 + 4*w - 7]']}
64. label: 4.4.1600.1
    {'degree': 4, 'discriminant': 1600, 'ideals': ['[1, 1, 1]', '[4, 2, 1/2*w^3 - 2*w]', '[9, 3, -1/2*w^3 + 1/2*w^2 + 2*w - 3]', '[9, 3, 1/2*w^3 + 1/2*w^2 - 2*w - 3]', '[16, 2, 2]', '[25, 5, w^2 - 3]', '[31, 31, 1/2*w^3 + 1/2*w^2 - 3*w]', '[31, 31, -1/2*w^2 - w + 3]', '[31, 31, -1/2*w^2 + w + 3]', '[31, 31, 1/2*w^3 - 1/2*w^2 - 3*w]', '[36, 6, -w^3 + 5*w + 2]', '[36, 6, -w^3 + 5*w - 2]', '[41, 41, 1/2*w^3 - w^2 - w + 3]', '[41, 41, w^3 + w^2 - 5*w - 3]', '[41, 41, -3/2*w^2 - w + 5]', '[41, 41, -1/2*w^3 - w^2 + w + 3]', '[49, 7, -1/2*w^3 + 2*w - 3]', '[49, 7, 1/2*w^3 - 2*w - 3]', '[64, 4, w^3 - 4*w]', '[71, 71, 1/2*w^3 + 1/2*w^2 - 2*w - 5]', '[71, 71, 1/2*w^3 + 3/2*w^2 - 3*w - 5]', '[71, 71, 1/2*w^3 - 3/2*w^2 - 3*w + 5]', '[71, 71, -1/2*w^3 + 1/2*w^2 + 2*w - 5]', '[79, 79, 1/2*w^3 + 3/2*w^2 - 2*w - 4]', '[79, 79, -w^3 - 1/2*w^2 + 6*w]', '[79, 79, w^3 - 1/2*w^2 - 6*w]', '[79, 79, 1/2*w^3 - 3/2*w^2 - 2*w + 4]', '[81, 3, 3]', '[81, 9, -1/2*w^3 + 4*w - 1]', '[81, 9, -1/2*w^3 + 4*w + 1]', '[89, 89, w^2 + w - 5]', '[89, 89, -w^3 + 1/2*w^2 + 5*w]', '[89, 89, w^3 + 1/2*w^2 - 5*w]', '[89, 89, w^2 - w - 5]', '[100, 10, -1/2*w^3 + 4*w]', '[121, 11, 3/2*w^2 - 5]', '[121, 11, 1/2*w^2 - 5]', '[124, 62, w^3 + w^2 - 5*w - 2]', '[124, 62, -1/2*w^3 - w^2 + w + 4]', '[124, 62, 1/2*w^3 - w^2 - w + 4]', '[124, 62, w^3 - w^2 - 5*w + 2]', '[144, 6, -w^3 + w^2 + 4*w - 6]', '[144, 6, w^3 + w^2 - 4*w - 6]', '[151, 151, -w^3 + 1/2*w^2 + 5*w + 1]', '[151, 151, 1/2*w^3 + 1/2*w^2 - w - 4]', '[151, 151, -1/2*w^3 + 1/2*w^2 + w - 4]', '[151, 151, -w^3 - 1/2*w^2 + 5*w - 1]', '[164, 82, 1/2*w^3 + w^2 - 5*w - 4]', '[164, 82, -1/2*w^3 - w^2 + 4*w + 6]', '[164, 82, w^3 - w^2 - 7*w + 2]', '[164, 82, 1/2*w^3 - w^2 - 4*w]', '[169, 13, -1/2*w^3 - 2*w^2 + 3*w + 3]', '[169, 13, 2*w^2 - w - 9]', '[191, 191, -w^3 - 2*w^2 + 5*w + 7]', '[191, 191, 3/2*w^3 - 1/2*w^2 - 5*w + 3]', '[191, 191, -3/2*w^3 - 1/2*w^2 + 5*w + 3]', '[191, 191, w^3 - 2*w^2 - 5*w + 7]', '[196, 14, -3/2*w^3 + 6*w + 2]', '[196, 14, -3/2*w^3 + 6*w - 2]', '[199, 199, -1/2*w^3 + w^2 + 4*w - 7]', '[199, 199, -3/2*w^3 + 3/2*w^2 + 7*w - 4]', '[199, 199, 3/2*w^3 + 3/2*w^2 - 7*w - 4]', '[199, 199, 1/2*w^3 + w^2 - 4*w - 7]', '[225, 15, -1/2*w^3 - 3/2*w^2 + 4*w + 7]', '[225, 15, 1/2*w^3 - 3/2*w^2 - 4*w + 7]', '[239, 239, 2*w^3 - w^2 - 9*w + 3]', '[239, 239, -3/2*w^3 - w^2 + 5*w + 3]', '[239, 239, 3/2*w^3 - w^2 - 5*w + 3]', '[239, 239, 2*w^3 + w^2 - 9*w - 3]', '[241, 241, -w^3 + w^2 + 5*w - 1]', '[241, 241, -1/2*w^3 + w^2 + w - 5]', '[241, 241, 1/2*w^3 + w^2 - w - 5]', '[241, 241, w^3 + w^2 - 5*w - 1]', '[256, 4, 4]', '[271, 271, 3/2*w^3 - 9*w - 1]', '[271, 271, 3*w - 1]', '[271, 271, -3*w - 1]', '[271, 271, 1/2*w^2 - 3*w]', '[279, 93, -w^3 + 1/2*w^2 + 6*w + 2]', '[279, 93, 1/2*w^3 - 2*w^2 - 3*w + 7]', '[279, 93, 1/2*w^2 - 2*w - 5]', '[279, 93, 2*w^2 - w - 5]', '[279, 93, 2*w^2 + w - 5]', '[279, 93, 1/2*w^2 + 2*w - 5]', '[279, 93, -w^3 - 1/2*w^2 + 6*w - 2]', '[279, 93, -1/2*w^3 - 2*w^2 + 3*w + 7]', '[281, 281, 1/2*w^3 + 2*w^2 - 2*w - 7]', '[281, 281, -1/2*w^3 + 1/2*w^2 + 3*w - 6]', '[281, 281, 1/2*w^3 + 1/2*w^2 - 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5*w^2 - 3*w + 11]', '[9756, 1626, 4*w^3 + 6*w^2 - 23*w - 32]', '[9756, 1626, -2*w^3 + 6*w^2 + 13*w - 28]', '[9756, 1626, w^3 - 3*w^2 + w + 10]', '[9756, 1626, w^3 - 3*w^2 - 11*w + 14]', '[9756, 1626, w^3 + 3*w^2 + w - 10]', '[9756, 1626, w^3 + 3*w^2 - 11*w - 14]', '[9756, 1626, -1/2*w^3 + 2*w^2 + 8*w - 12]', '[9756, 1626, -1/2*w^3 + 4*w^2 - 4*w - 12]', '[9764, 4882, -1/2*w^3 + 5*w^2 + 5*w - 16]', '[9764, 4882, -w^3 - 5*w^2 + 7*w + 14]', '[9764, 4882, -w^3 + 5*w^2 + 7*w - 14]', '[9764, 4882, -1/2*w^3 - 5*w^2 + 5*w + 16]', '[9769, 9769, -9/2*w^3 + 2*w^2 + 20*w - 7]', '[9769, 9769, 5/2*w^3 + 1/2*w^2 - 17*w - 6]', '[9769, 9769, -5/2*w^3 + 1/2*w^2 + 17*w - 6]', '[9769, 9769, 9/2*w^3 + 2*w^2 - 20*w - 7]', '[9791, 9791, w^3 + 5*w^2 - 7*w - 17]', '[9791, 9791, 1/2*w^3 + 5*w^2 - 5*w - 13]', '[9791, 9791, -1/2*w^3 + 5*w^2 + 5*w - 13]', '[9791, 9791, w^3 - 5*w^2 - 7*w + 17]', '[9796, 4898, -3*w^3 - w^2 + 19*w + 2]', '[9796, 4898, -5*w^3 + 3*w^2 + 21*w - 6]', '[9796, 4898, -5/2*w^3 - 3*w^2 + 12*w + 4]', '[9796, 4898, 2*w^3 - 2*w^2 - 5*w + 10]', '[9796, 4898, -7*w + 10]', '[9796, 4898, -5/2*w^3 + w^2 + 16*w + 8]', '[9796, 4898, 3/2*w^3 - 2*w^2 - 6*w + 18]', '[9796, 4898, -5/2*w^3 - 6*w^2 + 10*w + 22]', '[9796, 4898, -5/2*w^3 + 6*w^2 + 10*w - 22]', '[9796, 4898, 3/2*w^3 + 2*w^2 - 6*w - 18]', '[9796, 4898, 5/2*w^3 + w^2 - 16*w + 8]', '[9796, 4898, -7*w - 10]', '[9796, 4898, 2*w^3 + 2*w^2 - 5*w - 10]', '[9796, 4898, 5/2*w^3 - 3*w^2 - 12*w + 4]', '[9796, 4898, 5*w^3 + 3*w^2 - 21*w - 6]', '[9796, 4898, 3*w^3 - w^2 - 19*w + 2]', '[9799, 9799, 3/2*w^3 - 2*w^2 - 2*w + 9]', '[9799, 9799, -7/2*w^3 + 2*w^2 + 18*w - 3]', '[9799, 9799, 1/2*w^3 + 2*w^2 - 3*w - 17]', '[9799, 9799, -2*w^2 - w - 5]', '[9799, 9799, 2*w^3 + 2*w^2 - 15*w - 5]', '[9799, 9799, -3/2*w^3 + 2*w^2 + 13*w - 7]', '[9799, 9799, 1/2*w^3 + 7/2*w^2 + 3*w - 12]', '[9799, 9799, 3*w^3 + 7/2*w^2 - 17*w - 9]', '[9799, 9799, 3*w^3 - 7/2*w^2 - 17*w + 9]', '[9799, 9799, -1/2*w^3 + 7/2*w^2 - 3*w - 12]', '[9799, 9799, 3/2*w^3 + 2*w^2 - 13*w - 7]', '[9799, 9799, -2*w^3 + 2*w^2 + 15*w - 5]', '[9799, 9799, -2*w^2 + w - 5]', '[9799, 9799, -1/2*w^3 + 2*w^2 + 3*w - 17]', '[9799, 9799, 7/2*w^3 + 2*w^2 - 18*w - 3]', '[9799, 9799, -3/2*w^3 - 2*w^2 + 2*w + 9]', '[9801, 33, 9/2*w^2 - 15]', '[9801, 33, 3/2*w^2 - 15]', '[9801, 99, 3*w^3 + 1/2*w^2 - 19*w - 5]', '[9801, 99, 3*w^3 - 1/2*w^2 - 19*w + 5]', '[9801, 99, 4*w^3 + 3/2*w^2 - 17*w - 5]', '[9801, 99, 4*w^3 - 3/2*w^2 - 17*w + 5]', '[9839, 9839, 3/2*w^3 - 3/2*w^2 - 13*w + 1]', '[9839, 9839, -2*w^3 + 3/2*w^2 + 15*w - 8]', '[9839, 9839, 2*w^3 + 3/2*w^2 - 15*w - 8]', '[9839, 9839, -3/2*w^3 - 3/2*w^2 + 13*w + 1]', '[9871, 9871, -3/2*w^3 + 5*w^2 + 7*w - 13]', '[9871, 9871, -w^3 + 5*w^2 + 3*w - 17]', '[9871, 9871, w^3 + 5*w^2 - 3*w - 17]', '[9871, 9871, 3/2*w^3 + 5*w^2 - 7*w - 13]', '[9881, 9881, -2*w^3 - 5*w^2 + 10*w + 17]', '[9881, 9881, -w^3 - 5*w^2 + 2*w + 13]', '[9881, 9881, -3*w^3 + 7/2*w^2 + 15*w - 8]', '[9881, 9881, -3/2*w^3 + 7/2*w^2 + 3*w - 13]', '[9881, 9881, -5/2*w^3 - 5/2*w^2 + 8*w + 12]', '[9881, 9881, -w^3 + 1/2*w^2 + 11*w - 5]', '[9881, 9881, 5/2*w^3 - 1/2*w^2 - 17*w - 2]', '[9881, 9881, -7/2*w^3 + 5/2*w^2 + 16*w - 3]', '[9881, 9881, 7/2*w^3 + 5/2*w^2 - 16*w - 3]', '[9881, 9881, -5/2*w^3 - 1/2*w^2 + 17*w - 2]', '[9881, 9881, w^3 + 1/2*w^2 - 11*w - 5]', '[9881, 9881, 5/2*w^3 - 5/2*w^2 - 8*w + 12]', '[9881, 9881, 3/2*w^3 + 7/2*w^2 - 3*w - 13]', '[9881, 9881, 3*w^3 + 7/2*w^2 - 15*w - 8]', '[9881, 9881, w^3 - 5*w^2 - 2*w + 13]', '[9881, 9881, 2*w^3 - 5*w^2 - 10*w + 17]', '[9929, 9929, -4*w^3 - 1/2*w^2 + 21*w - 4]', '[9929, 9929, 3/2*w^3 + 1/2*w^2 - w - 7]', '[9929, 9929, -3/2*w^3 + 1/2*w^2 + w - 7]', '[9929, 9929, 4*w^3 - 1/2*w^2 - 21*w - 4]', '[10000, 10, 10]'], 'label': '4.4.1600.1', 'narrow_class_no': 1, 'primes': ['[4, 2, 1/2*w^3 - 2*w]', '[9, 3, -1/2*w^3 + 1/2*w^2 + 2*w - 3]', '[9, 3, 1/2*w^3 + 1/2*w^2 - 2*w - 3]', '[25, 5, w^2 - 3]', '[31, 31, 1/2*w^3 + 1/2*w^2 - 3*w]', '[31, 31, -1/2*w^2 - w + 3]', '[31, 31, -1/2*w^2 + w + 3]', '[31, 31, 1/2*w^3 - 1/2*w^2 - 3*w]', '[41, 41, 1/2*w^3 - w^2 - w + 3]', '[41, 41, w^3 + w^2 - 5*w - 3]', '[41, 41, -3/2*w^2 - w + 5]', '[41, 41, -1/2*w^3 - w^2 + w + 3]', '[49, 7, -1/2*w^3 + 2*w - 3]', '[49, 7, 1/2*w^3 - 2*w - 3]', '[71, 71, 1/2*w^3 + 1/2*w^2 - 2*w - 5]', '[71, 71, 1/2*w^3 + 3/2*w^2 - 3*w - 5]', '[71, 71, 1/2*w^3 - 3/2*w^2 - 3*w + 5]', '[71, 71, -1/2*w^3 + 1/2*w^2 + 2*w - 5]', '[79, 79, 1/2*w^3 + 3/2*w^2 - 2*w - 4]', '[79, 79, -w^3 - 1/2*w^2 + 6*w]', '[79, 79, w^3 - 1/2*w^2 - 6*w]', '[79, 79, 1/2*w^3 - 3/2*w^2 - 2*w + 4]', '[89, 89, w^2 + w - 5]', '[89, 89, -w^3 + 1/2*w^2 + 5*w]', '[89, 89, w^3 + 1/2*w^2 - 5*w]', '[89, 89, w^2 - w - 5]', '[121, 11, 3/2*w^2 - 5]', '[121, 11, 1/2*w^2 - 5]', '[151, 151, -w^3 + 1/2*w^2 + 5*w + 1]', '[151, 151, 1/2*w^3 + 1/2*w^2 - w - 4]', '[151, 151, -1/2*w^3 + 1/2*w^2 + w - 4]', '[151, 151, -w^3 - 1/2*w^2 + 5*w - 1]', '[169, 13, -1/2*w^3 - 2*w^2 + 3*w + 3]', '[169, 13, 2*w^2 - w - 9]', '[191, 191, -w^3 - 2*w^2 + 5*w + 7]', '[191, 191, 3/2*w^3 - 1/2*w^2 - 5*w + 3]', '[191, 191, -3/2*w^3 - 1/2*w^2 + 5*w + 3]', '[191, 191, w^3 - 2*w^2 - 5*w + 7]', '[199, 199, -1/2*w^3 + w^2 + 4*w - 7]', '[199, 199, -3/2*w^3 + 3/2*w^2 + 7*w - 4]', '[199, 199, 3/2*w^3 + 3/2*w^2 - 7*w - 4]', '[199, 199, 1/2*w^3 + w^2 - 4*w - 7]', '[239, 239, 2*w^3 - w^2 - 9*w + 3]', '[239, 239, -3/2*w^3 - w^2 + 5*w + 3]', '[239, 239, 3/2*w^3 - w^2 - 5*w + 3]', '[239, 239, 2*w^3 + w^2 - 9*w - 3]', '[241, 241, -w^3 + w^2 + 5*w - 1]', '[241, 241, -1/2*w^3 + w^2 + w - 5]', '[241, 241, 1/2*w^3 + w^2 - w - 5]', '[241, 241, w^3 + w^2 - 5*w - 1]', '[271, 271, 3/2*w^3 - 9*w - 1]', '[271, 271, 3*w - 1]', '[271, 271, -3*w - 1]', '[271, 271, 1/2*w^2 - 3*w]', '[281, 281, 1/2*w^3 + 2*w^2 - 2*w - 7]', '[281, 281, -1/2*w^3 + 1/2*w^2 + 3*w - 6]', '[281, 281, 1/2*w^3 + 1/2*w^2 - 3*w - 6]', '[281, 281, -1/2*w^3 + 2*w^2 + 2*w - 7]', '[289, 17, 1/2*w^2 + 3*w - 1]', '[289, 17, 1/2*w^2 - 3*w - 1]', '[311, 311, w^3 - 1/2*w^2 - 2*w + 3]', '[311, 311, 2*w^3 + 1/2*w^2 - 10*w]', '[311, 311, -2*w^3 + 1/2*w^2 + 10*w]', '[311, 311, -w^3 - 1/2*w^2 + 2*w + 3]', '[359, 359, w^3 - 3/2*w^2 - 6*w + 3]', '[359, 359, -3/2*w^3 - 1/2*w^2 + 7*w - 2]', '[359, 359, 3/2*w^3 - 1/2*w^2 - 7*w - 2]', '[359, 359, w^3 - 1/2*w^2 - 3*w + 5]', '[361, 19, 2*w^2 - 7]', '[361, 19, 1/2*w^2 - 6]', '[401, 401, -2*w^3 - 1/2*w^2 + 9*w + 3]', '[401, 401, 3/2*w^3 + 1/2*w^2 - 5*w]', '[401, 401, -3/2*w^3 + 1/2*w^2 + 5*w]', '[401, 401, 2*w^3 - 1/2*w^2 - 9*w + 3]', '[409, 409, 3/2*w^3 + 3/2*w^2 - 8*w - 4]', '[409, 409, -1/2*w^3 - 3/2*w^2 + 5]', '[409, 409, 1/2*w^3 - 3/2*w^2 + 5]', '[409, 409, -3/2*w^3 + 3/2*w^2 + 8*w - 4]', '[431, 431, -2*w^3 + 9*w + 1]', '[431, 431, -3/2*w^3 + 5*w + 1]', '[431, 431, 3/2*w^3 - 5*w + 1]', '[431, 431, 2*w^3 - 9*w + 1]', '[439, 439, -3/2*w^3 + 1/2*w^2 + 5*w - 1]', '[439, 439, -2*w^3 + 1/2*w^2 + 9*w - 2]', '[439, 439, -2*w^3 - 1/2*w^2 + 9*w + 2]', '[439, 439, -3/2*w^3 - 1/2*w^2 + 5*w + 1]', '[449, 449, -w^3 - 3/2*w^2 + 3*w + 6]', '[449, 449, 3/2*w^3 + 3/2*w^2 - 7*w - 3]', '[449, 449, -3/2*w^3 + 3/2*w^2 + 7*w - 3]', '[449, 449, w^3 - 3/2*w^2 - 3*w + 6]', '[479, 479, -w - 5]', '[479, 479, 1/2*w^3 - 3*w - 5]', '[479, 479, -1/2*w^3 + 3*w - 5]', '[479, 479, w - 5]', '[521, 521, -5/2*w^3 - 1/2*w^2 + 12*w - 1]', '[521, 521, 3/2*w^3 - 3/2*w^2 - 6*w + 1]', '[521, 521, -3/2*w^3 - 3/2*w^2 + 6*w + 1]', '[521, 521, 5/2*w^3 - 1/2*w^2 - 12*w - 1]', '[529, 23, -1/2*w^3 + 2*w - 5]', '[529, 23, 1/2*w^3 - 2*w - 5]', '[569, 569, 2*w^3 + 2*w^2 - 9*w - 5]', '[569, 569, -2*w^3 + w^2 + 12*w - 3]', '[569, 569, 2*w^3 + w^2 - 12*w - 3]', '[569, 569, -2*w^3 + 2*w^2 + 9*w - 5]', '[599, 599, 3/2*w^3 + 2*w^2 - 6*w - 3]', '[599, 599, w^3 - 5/2*w^2 - 5*w + 8]', '[599, 599, -w^3 - 5/2*w^2 + 5*w + 8]', '[599, 599, -3/2*w^3 + 2*w^2 + 6*w - 3]', '[601, 601, 5/2*w^3 - 3/2*w^2 - 12*w + 4]', '[601, 601, -3/2*w^3 - 3/2*w^2 + 4*w + 5]', '[601, 601, 3/2*w^3 - 3/2*w^2 - 4*w + 5]', '[601, 601, -5/2*w^3 - 3/2*w^2 + 12*w + 4]', '[631, 631, 2*w^3 - 1/2*w^2 - 9*w - 3]', '[631, 631, -3/2*w^3 + 1/2*w^2 + 5*w - 6]', '[631, 631, 3/2*w^3 + 1/2*w^2 - 5*w - 6]', '[631, 631, -2*w^3 - 1/2*w^2 + 9*w - 3]', '[641, 641, w^3 - 2*w^2 - 5*w + 3]', '[641, 641, 1/2*w^3 - 2*w^2 - w + 9]', '[641, 641, -1/2*w^3 - 2*w^2 + w + 9]', '[641, 641, -w^3 - 2*w^2 + 5*w + 3]', '[719, 719, -1/2*w^3 + 5/2*w^2 + 3*w - 9]', '[719, 719, -5/2*w^2 - w + 6]', '[719, 719, -5/2*w^2 + w + 6]', '[719, 719, 1/2*w^3 + 5/2*w^2 - 3*w - 9]', '[751, 751, -w^3 + w^2 + 5*w - 9]', '[751, 751, 1/2*w^3 - w^2 - w - 3]', '[751, 751, -1/2*w^3 - w^2 + w - 3]', '[751, 751, w^3 + w^2 - 5*w - 9]', '[761, 761, 3/2*w^3 + 3/2*w^2 - 8*w - 3]', '[761, 761, -1/2*w^3 + 3/2*w^2 + w - 9]', '[761, 761, 1/2*w^3 + 3/2*w^2 - w - 9]', '[761, 761, -3/2*w^3 + 3/2*w^2 + 8*w - 3]', '[769, 769, -1/2*w^3 + 1/2*w^2 - 6]', '[769, 769, -3/2*w^3 - 1/2*w^2 + 8*w - 3]', '[769, 769, 3/2*w^3 - 1/2*w^2 - 8*w - 3]', '[769, 769, 1/2*w^3 + 1/2*w^2 - 6]', '[809, 809, -3/2*w^3 + 2*w^2 + 9*w - 5]', '[809, 809, -2*w^3 - 3/2*w^2 + 11*w + 4]', '[809, 809, 2*w^3 - 3/2*w^2 - 11*w + 4]', '[809, 809, 3/2*w^3 + 2*w^2 - 9*w - 5]', '[839, 839, -1/2*w^3 + 5/2*w^2 + 2*w - 8]', '[839, 839, -1/2*w^3 + w^2 + 3*w - 9]', '[839, 839, 1/2*w^3 + w^2 - 3*w - 9]', '[839, 839, 1/2*w^3 + 5/2*w^2 - 2*w - 8]', '[841, 29, 5/2*w^2 - 9]', '[841, 29, -5/2*w^2 + 6]', '[881, 881, -w^3 + w^2 + 8*w - 5]', '[881, 881, -w^3 - w^2 + 8*w + 1]', '[881, 881, w^3 - w^2 - 8*w + 1]', '[881, 881, w^3 + w^2 - 8*w - 5]', '[911, 911, w^3 - 3/2*w^2 - 7*w + 1]', '[911, 911, -1/2*w^3 + 3/2*w^2 + 5*w - 8]', '[911, 911, 1/2*w^3 + 3/2*w^2 - 5*w - 8]', '[911, 911, -w^3 - 3/2*w^2 + 7*w + 1]', '[919, 919, -w^3 - w^2 + 2*w + 5]', '[919, 919, -2*w^3 + w^2 + 10*w - 1]', '[919, 919, 2*w^3 + w^2 - 10*w - 1]', '[919, 919, w^3 - w^2 - 2*w + 5]', '[929, 929, 2*w^3 - 12*w - 1]', '[929, 929, 4*w - 1]', '[929, 929, -4*w - 1]', '[929, 929, 2*w^3 - 12*w + 1]', '[991, 991, -2*w^3 + 1/2*w^2 + 10*w + 2]', '[991, 991, -2*w^2 + 2*w + 9]', '[991, 991, -2*w^2 - 2*w + 9]', '[991, 991, 2*w^3 + 1/2*w^2 - 10*w + 2]']}
65. label: 4.4.1957.1
    {'degree': 4, 'discriminant': 1957, 'ideals': ['[1, 1, 1]', '[3, 3, -w^3 + 3*w + 1]', '[7, 7, -w^2 + 2]', '[9, 9, w^3 - w^2 - 3*w]', '[16, 2, 2]', '[19, 19, -w^3 + w^2 + 4*w]', '[21, 21, -w^3 + w^2 + 2*w - 2]', '[23, 23, w^3 + w^2 - 4*w - 2]', '[27, 3, -2*w^3 + w^2 + 6*w - 1]', '[27, 27, w^3 - 2*w - 2]', '[31, 31, -w^3 + 5*w]', '[37, 37, -w^3 + 5*w + 1]', '[43, 43, w^2 + w - 3]', '[43, 43, -w^2 + 2*w + 3]', '[47, 47, -w^3 + w^2 + 2*w + 2]', '[47, 47, 3*w^3 - w^2 - 10*w - 2]', '[48, 6, -2*w^3 + 6*w + 2]', '[49, 49, w + 3]', '[53, 53, -w^3 + w^2 + 2*w - 3]', '[57, 57, -w^3 + 2*w^2 + 3*w - 4]', '[59, 59, -2*w^3 + w^2 + 8*w + 1]', '[59, 59, w^3 - 2*w^2 - 3*w + 3]', '[61, 61, -w^3 + w^2 + w - 2]', '[63, 63, w^3 + w^2 - 4*w - 1]', '[67, 67, 2*w^3 - 5*w - 2]', '[69, 69, -w^3 + 3*w + 4]', '[71, 71, 2*w^2 - w - 3]', '[73, 73, 2*w^2 - w - 5]', '[73, 73, w^3 - 2*w^2 - 2*w + 5]', '[81, 3, 3]', '[81, 81, 2*w^3 - 5*w]', '[83, 83, w^3 + w^2 - 6*w - 3]', '[89, 89, w^3 + w^2 - 4*w]', '[93, 93, -2*w^2 + w + 4]', '[97, 97, 2*w^3 - 9*w]', '[97, 97, 3*w^3 - 10*w - 3]', '[101, 101, w^3 + 2*w^2 - 4*w - 6]', '[101, 101, w^3 - 6*w + 1]', '[103, 103, -2*w^3 - w^2 + 8*w + 3]', '[111, 111, w^3 + w^2 - 5*w]', '[112, 14, -2*w^2 + 4]', '[127, 127, 2*w^3 - 9*w - 3]', '[129, 129, 2*w^3 - w^2 - 8*w - 2]', '[129, 129, -w^3 + w^2 + 6*w]', '[131, 131, -w^3 + w^2 + 3*w - 5]', '[133, 133, -2*w^3 - w^2 + 6*w + 1]', '[137, 137, w^3 - 6*w - 2]', '[139, 139, w^3 - 3*w + 3]', '[141, 141, -3*w^3 + w^2 + 8*w + 3]', '[141, 141, 3*w^3 + w^2 - 10*w - 9]', '[144, 18, 2*w^3 - 2*w^2 - 6*w]', '[147, 147, w^2 + 2*w - 3]', '[149, 149, -w^3 + 2*w^2 + w - 4]', '[151, 151, -3*w^3 + w^2 + 11*w + 2]', '[157, 157, -w^3 + 2*w^2 + 2*w - 7]', '[157, 157, w^3 + w^2 - 2*w - 4]', '[159, 159, -2*w^3 - 2*w^2 + 7*w + 9]', '[161, 161, -2*w^3 + 9*w + 1]', '[163, 163, w^3 - 6*w]', '[171, 171, 2*w^3 - 9*w - 2]', '[173, 173, 2*w^3 - w^2 - 9*w]', '[177, 177, -2*w^3 - 2*w^2 + 6*w + 7]', '[177, 177, -w^3 + 6*w + 1]', '[181, 181, -w^3 - w^2 + 7*w]', '[183, 183, w^3 + 2*w^2 - 4*w - 2]', '[189, 21, -2*w^3 + w^2 + 9*w - 1]', '[189, 189, -w + 4]', '[197, 197, -w - 4]', '[197, 197, -2*w^3 + 3*w^2 + 6*w - 5]', '[199, 199, -3*w^3 + w^2 + 9*w + 1]', '[199, 199, -2*w^3 + 2*w^2 + 9*w - 5]', '[201, 201, 2*w^3 - w^2 - 8*w - 5]', '[207, 207, -3*w^3 + 2*w^2 + 11*w - 1]', '[211, 211, -w^3 + 2*w^2 + 5*w - 5]', '[213, 213, w^3 + w^2 - 7*w - 4]', '[217, 217, -3*w^3 + w^2 + 9*w]', '[219, 219, -3*w^3 - w^2 + 12*w + 4]', '[219, 219, 3*w^3 + w^2 - 13*w - 6]', '[229, 229, 2*w^3 + w^2 - 8*w - 2]', '[239, 239, 3*w^3 - w^2 - 12*w - 3]', '[243, 9, -3*w^3 + 9*w + 3]', '[243, 243, 2*w^3 - 2*w^2 - 5*w + 5]', '[249, 249, 2*w^3 + 3*w^2 - 9*w - 8]', '[251, 251, -2*w^3 + 2*w^2 + 7*w]', '[251, 251, 4*w^3 - 13*w - 2]', '[256, 4, 4]', '[257, 257, -2*w^3 + 3*w^2 + 5*w - 7]', '[259, 259, -3*w^3 + 9*w + 2]', '[267, 267, -w^3 + w^2 - 3]', '[279, 279, -3*w^3 + 10*w - 1]', '[281, 281, -3*w^3 + 3*w^2 + 11*w - 3]', '[283, 283, w^3 + 2*w^2 - 3*w - 8]', '[283, 283, 2*w^3 + w^2 - 6*w - 7]', '[289, 17, -w^3 - 2*w^2 + 4*w + 1]', '[289, 17, 4*w^3 - 15*w - 2]', '[291, 291, -3*w^2 + 2*w + 7]', '[291, 291, 3*w^3 + w^2 - 12*w - 10]', '[293, 293, 3*w^3 - 11*w]', '[301, 301, -w^3 + 3*w^2 + 2*w - 6]', '[301, 301, -w^3 - 2*w^2 + 6*w + 2]', '[303, 303, 4*w^3 + w^2 - 17*w - 9]', '[303, 303, -w^3 + 3*w^2 + 2*w - 4]', '[304, 38, -2*w^3 + 2*w^2 + 8*w]', '[309, 309, -2*w^3 - 2*w^2 + 10*w + 9]', '[311, 311, -4*w^3 + w^2 + 13*w]', '[313, 313, 2*w^3 + w^2 - 10*w - 3]', '[317, 317, 3*w^3 - w^2 - 8*w + 1]', '[317, 317, 3*w^3 - 2*w^2 - 9*w - 2]', '[329, 329, -3*w^2 + 2*w + 5]', '[329, 329, 4*w^3 + w^2 - 16*w - 5]', '[331, 331, 2*w^3 - 10*w + 1]', '[333, 333, -w^3 + 2*w^2 - 4]', '[336, 42, -2*w^3 + 2*w^2 + 4*w - 4]', '[337, 337, -2*w^3 + 2*w^2 + 5*w - 6]', '[337, 337, 3*w^3 - 8*w - 3]', '[343, 7, -w^3 + 3*w^2 + 2*w - 5]', '[343, 343, w^3 + w^2 - 7*w - 3]', '[347, 347, -3*w^3 + w^2 + 11*w + 4]', '[347, 347, w^3 - 7*w + 1]', '[347, 347, -2*w^3 - w^2 + 10*w + 4]', '[347, 347, 3*w^2 - w - 4]', '[353, 353, 3*w^3 - 2*w^2 - 7*w + 4]', '[353, 353, -4*w^3 + w^2 + 13*w + 1]', '[361, 19, -w^3 + 3*w^2 + 4*w - 5]', '[361, 19, 3*w^2 - 2*w - 6]', '[367, 367, 4*w^3 - 2*w^2 - 15*w]', '[368, 46, 2*w^3 + 2*w^2 - 8*w - 4]', '[371, 371, -5*w^3 + 18*w + 3]', '[373, 373, -w^3 - w^2 + 7*w + 2]', '[373, 373, -3*w^3 + w^2 + 8*w + 1]', '[381, 381, 3*w^3 + 3*w^2 - 11*w - 10]', '[383, 383, -2*w^3 - w^2 + 7*w]', '[387, 387, -3*w^3 + w^2 + 8*w]', '[387, 387, -w^3 + 2*w^2 + 5*w - 6]', '[393, 393, 4*w^3 - 13*w - 3]', '[399, 399, -w^3 + w^2 + 3*w - 6]', '[401, 401, -w^3 + 4*w - 4]', '[401, 401, 3*w^3 - 13*w - 4]', '[409, 409, -w^3 + 3*w^2 + 3*w - 6]', '[409, 409, 3*w^3 - 2*w^2 - 11*w]', '[411, 411, 2*w^3 + 3*w^2 - 7*w - 7]', '[413, 413, -4*w^3 - w^2 + 13*w + 3]', '[413, 413, w^3 - 3*w + 4]', '[417, 417, 3*w^3 - 8*w - 1]', '[419, 419, -4*w^3 + 14*w + 1]', '[421, 421, 4*w^3 - 13*w - 4]', '[421, 421, w^3 + 2*w^2 - 6*w - 10]', '[423, 423, 4*w^3 - 5*w^2 - 8*w]', '[423, 423, -2*w^3 + w^2 + 4*w + 6]', '[427, 427, w^3 + w^2 - 3]', '[431, 431, w^2 - w - 7]', '[431, 431, -3*w^3 + 12*w - 1]', '[432, 6, -4*w^3 + 2*w^2 + 12*w - 2]', '[432, 54, 2*w^3 - 4*w - 4]', '[437, 437, -w^2 - 2*w + 5]', '[439, 439, 3*w^3 - 11*w + 1]', '[441, 441, 2*w^3 - 2*w^2 - 8*w - 1]', '[443, 443, 2*w^3 + 2*w^2 - 11*w - 9]', '[443, 443, -4*w^3 + 3*w^2 + 13*w - 2]', '[447, 447, 2*w^3 + 2*w^2 - 9*w - 4]', '[449, 449, 3*w^3 + w^2 - 10*w - 2]', '[453, 453, 3*w^3 + 2*w^2 - 10*w - 10]', '[457, 457, -3*w^3 + 3*w^2 + 10*w - 2]', '[457, 457, w^3 + w^2 - 2*w - 7]', '[461, 461, 2*w^3 - w^2 - 10*w + 2]', '[467, 467, -2*w^3 + 3*w^2 + 6*w - 11]', '[469, 469, w^3 - 8*w - 4]', '[471, 471, 5*w^3 + w^2 - 18*w - 6]', '[471, 471, 3*w^3 - w^2 - 12*w - 5]', '[477, 477, w^2 - 7]', '[479, 479, 3*w^3 + w^2 - 12*w - 3]', '[479, 479, -w^3 + 2*w^2 + w - 6]', '[483, 483, -w^3 - 3*w^2 + 5*w + 8]', '[487, 487, 3*w^2 - 7]', '[487, 487, -w^3 - 3*w^2 + 5*w + 7]', '[487, 487, -w^3 + w^2 - 4]', '[487, 487, 3*w^3 - 13*w - 3]', '[489, 489, 3*w^2 - w - 5]', '[491, 491, 3*w^3 - 3*w^2 - 9*w + 1]', '[496, 62, -2*w^3 + 10*w]', '[497, 497, w^3 - w^2 - 4*w - 4]', '[499, 499, -2*w^3 - 3*w^2 + 6*w + 10]', '[499, 499, 2*w^3 - 10*w - 3]', '[509, 509, -3*w^2 + w + 7]', '[509, 509, 2*w^3 - w^2 - 10*w - 1]', '[511, 511, -2*w^2 - w + 8]', '[511, 511, w^3 + w^2 - 4*w - 8]', '[513, 57, w^3 - 2*w^2 - 6*w + 5]', '[513, 513, -2*w^3 - w^2 + 9*w]', '[519, 519, w^3 + 3*w^2 - 3*w - 7]', '[521, 521, w - 5]', '[529, 529, -3*w^3 + 4*w^2 + 10*w - 7]', '[531, 531, -w - 5]', '[531, 531, -w^3 - 3*w^2 + 4*w + 6]', '[541, 541, 3*w^2 - 5]', '[543, 543, w^3 - 4*w^2 + 6]', '[547, 547, 3*w^2 - w - 6]', '[547, 547, -w^3 + 2*w^2 + 5*w - 7]', '[549, 549, w^3 - 2*w^2 + 3*w + 1]', '[557, 557, 2*w^3 - w^2 - 6*w + 6]', '[557, 557, -3*w^3 - w^2 + 9*w]', '[563, 563, -w^3 + 4*w^2 + 3*w - 11]', '[567, 21, -3*w^2 + 6]', '[567, 567, -4*w^3 + w^2 + 12*w + 3]', '[569, 569, 3*w^3 - 12*w + 2]', '[577, 577, 2*w^3 + w^2 - 5*w - 6]', '[577, 577, 3*w^3 - w^2 - 13*w + 1]', '[581, 581, 4*w^3 - 12*w - 5]', '[587, 587, 2*w^3 - w^2 - 10*w + 1]', '[589, 589, 2*w^3 - 2*w^2 - 4*w + 5]', '[591, 591, 4*w^3 + w^2 - 12*w - 5]', '[591, 591, 2*w^3 - 10*w - 1]', '[592, 74, -2*w^3 + 10*w + 2]', '[597, 597, -2*w^3 + 7*w + 7]', '[597, 597, 3*w^3 - 3*w^2 - 11*w + 2]', '[599, 599, w^3 - w^2 - 3*w - 4]', '[603, 603, -3*w^3 + w^2 + 5*w + 3]', '[613, 613, -w^3 + 2*w^2 + 5*w - 8]', '[617, 617, 3*w^3 - 2*w^2 - 10*w - 2]', '[617, 617, 3*w^3 - w^2 - 13*w]', '[619, 619, w^3 - 2*w^2 - 4*w - 3]', '[621, 69, -w^3 + 2*w^2 - 5]', '[621, 621, -w^3 - 2*w^2 + 2*w + 7]', '[623, 623, 2*w^3 - 3*w^2 - 8*w + 1]', '[625, 5, -5]', '[631, 631, -4*w^3 + 2*w^2 + 14*w + 1]', '[633, 633, 3*w^3 - 2*w^2 - 12*w - 1]', '[639, 639, -4*w^2 + 4*w + 3]', '[643, 643, 5*w^3 - 16*w - 2]', '[647, 647, 3*w^3 - 2*w^2 - 11*w - 1]', '[651, 651, -w^3 + 4*w + 6]', '[657, 657, 2*w^3 + w^2 - 11*w - 1]', '[657, 657, -2*w^3 - 2*w^2 + 10*w + 3]', '[659, 659, 2*w^3 - 3*w^2 - 7*w]', '[659, 659, 4*w^3 - 2*w^2 - 11*w - 1]', '[677, 677, -5*w^3 + 2*w^2 + 16*w - 2]', '[677, 677, -5*w^3 + 3*w^2 + 15*w - 2]', '[679, 679, 4*w^3 - 17*w - 6]', '[679, 679, -5*w^3 + 2*w^2 + 16*w]', '[683, 683, -4*w^3 + 3*w^2 + 12*w]', '[687, 687, w^3 + 2*w^2 - 7*w - 8]', '[688, 86, 2*w^2 + 2*w - 6]', '[688, 86, -2*w^2 + 4*w + 6]', '[703, 703, w^3 - w^2 + 5]', '[707, 707, 2*w^3 + w^2 - 9*w - 10]', '[707, 707, 4*w^3 - 2*w^2 - 11*w + 2]', '[713, 713, 2*w^3 - 4*w - 5]', '[717, 717, 4*w^3 + 3*w^2 - 13*w - 12]', '[719, 719, w^3 - 4*w^2 - 2*w + 4]', '[719, 719, w^3 + w^2 - w - 5]', '[721, 721, -4*w^3 + w^2 + 15*w + 5]', '[729, 9, 4*w^3 - 2*w^2 - 15*w - 1]', '[729, 27, 3*w^3 - 3*w^2 - 9*w]', '[729, 729, -3*w^3 - w^2 + 11*w + 2]', '[733, 733, 3*w^3 + w^2 - 10*w - 1]', '[733, 733, 5*w^3 - 3*w^2 - 15*w + 3]', '[739, 739, 5*w^3 - 3*w^2 - 18*w + 2]', '[747, 747, w^3 - 4*w^2 + 3*w + 6]', '[752, 94, -2*w^3 + 2*w^2 + 4*w + 4]', '[752, 94, 6*w^3 - 2*w^2 - 20*w - 4]', '[753, 753, 2*w^3 + w^2 - 10*w - 11]', '[753, 753, -2*w^3 - w^2 + 4*w + 5]', '[757, 757, 4*w^2 - 3*w - 9]', '[768, 12, -4*w^3 + 12*w + 4]', '[771, 771, 4*w^3 + w^2 - 16*w - 4]', '[773, 773, -4*w^3 + w^2 + 12*w + 1]', '[773, 773, w^3 + 3*w^2 - 6*w - 3]', '[777, 777, 3*w^3 - 3*w^2 - 10*w + 1]', '[784, 98, 2*w + 6]', '[787, 787, 2*w^3 + 2*w^2 - 9*w - 3]', '[787, 787, -2*w^3 + 4*w^2 + 5*w - 6]', '[801, 801, 2*w^3 - 5*w^2 - 4*w + 4]', '[811, 811, -w^3 + 3*w^2 - 7]', '[817, 817, -3*w^3 - w^2 + 14*w + 4]', '[817, 817, 4*w^3 - 3*w^2 - 13*w + 1]', '[821, 821, 4*w^3 - 2*w^2 - 13*w - 3]', '[821, 821, w^3 + w - 3]', '[821, 821, -w^3 + 4*w^2 + w - 5]', '[821, 821, -w^3 + 4*w^2 + 2*w - 10]', '[827, 827, -3*w^3 - w^2 + 14*w + 6]', '[829, 829, w^3 - w^2 - 7*w + 5]', '[837, 93, 4*w^3 + w^2 - 15*w - 4]', '[837, 837, w^3 - w^2 + 6]', '[843, 843, -2*w^2 - 3*w + 5]', '[848, 106, -2*w^3 + 2*w^2 + 4*w - 6]', '[849, 849, 6*w^3 - 23*w - 10]', '[849, 849, 6*w^3 - 22*w - 11]', '[851, 851, w^3 - 4*w^2 - w + 8]', '[857, 857, w^3 - w^2 - 5*w - 5]', '[857, 857, 2*w^3 + w^2 - 11*w - 5]', '[867, 51, 2*w^3 + 3*w^2 - 10*w - 13]', '[867, 51, w^3 - w^2 + 2*w + 4]', '[873, 873, -2*w^3 - w^2 + 5*w + 7]', '[873, 873, -3*w^3 + 5*w^2 + 5*w - 7]', '[879, 879, 2*w^2 - 3*w - 8]', '[881, 881, -3*w^3 - 2*w^2 + 13*w + 5]', '[881, 881, -2*w^3 + 4*w^2 + 7*w - 8]', '[889, 889, 5*w^3 + w^2 - 16*w - 6]', '[893, 893, w^3 + w^2 - 3*w - 9]', '[893, 893, -3*w^3 + 3*w^2 + 9*w + 1]', '[903, 903, 2*w^3 - 4*w^2 - 7*w + 6]', '[903, 903, 3*w^3 + w^2 - 14*w - 5]', '[907, 907, w^3 + 2*w^2 - w - 6]', '[907, 907, -4*w^3 + w^2 + 11*w + 3]', '[909, 909, 4*w^3 - 5*w^2 - 7*w + 5]', '[909, 909, -3*w^3 - 2*w^2 + 12*w + 5]', '[911, 911, -4*w^3 - w^2 + 13*w + 2]', '[912, 114, -2*w^3 + 4*w^2 + 6*w - 8]', '[917, 917, -w^3 + 4*w^2 + 4*w - 9]', '[927, 927, 4*w^2 - 3*w - 7]', '[929, 929, -w^3 + w^2 + 3*w - 7]', '[931, 931, 2*w^3 - 3*w - 4]', '[933, 933, -w^3 - w^2 + 5*w + 9]', '[937, 937, -w^3 + 4*w - 5]', '[937, 937, -4*w^2 + 3*w + 8]', '[939, 939, 2*w^3 + 4*w^2 - 10*w - 11]', '[941, 941, 5*w^3 - 19*w - 2]', '[941, 941, 3*w^3 - 14*w - 5]', '[944, 118, -4*w^3 + 2*w^2 + 16*w + 2]', '[944, 118, 2*w^3 - 4*w^2 - 6*w + 6]', '[947, 947, 3*w^3 - 2*w^2 - 12*w - 2]', '[947, 947, -4*w^3 + w^2 + 11*w - 1]', '[951, 951, w^2 + w + 4]', '[951, 951, 4*w^3 - 11*w - 8]', '[959, 959, 4*w^3 + w^2 - 11*w - 4]', '[961, 961, -w^3 + 2*w^2 - w - 5]', '[967, 967, -2*w^3 - 2*w^2 + 7*w + 1]', '[967, 967, -w^3 + 2*w^2 - 6]', '[971, 971, -2*w^3 + 4*w^2 + 7*w - 7]', '[973, 973, -w^3 + 4*w^2 + 5*w - 6]', '[976, 122, -2*w^3 + 2*w^2 + 2*w - 4]', '[977, 977, w^3 + w^2 - 8*w - 2]', '[977, 977, w^3 - 4*w^2 - w + 6]', '[987, 987, -3*w^3 + 5*w^2 + 3*w - 5]', '[987, 987, -3*w^3 - w^2 + 15*w + 1]', '[989, 989, 2*w^2 - 3*w - 9]', '[989, 989, 5*w^3 - 3*w^2 - 17*w + 1]', '[991, 991, 3*w^3 - 14*w]', '[991, 991, -3*w^3 + 3*w^2 + 11*w - 1]', '[993, 993, -w^3 + 4*w^2 + w - 7]', '[999, 111, 2*w^3 - 4*w^2 - 6*w + 7]', '[999, 999, -2*w^3 + 2*w^2 + 6*w - 9]', '[1007, 1007, w^3 - 2*w^2 - 2*w + 10]', '[1008, 126, 2*w^3 + 2*w^2 - 8*w - 2]', '[1009, 1009, -5*w^3 + 16*w + 3]', '[1009, 1009, w^3 + 2*w^2 - 7*w - 9]', '[1011, 1011, 3*w^3 - w^2 - 12*w - 8]', '[1011, 1011, 4*w^3 + w^2 - 14*w - 3]', '[1021, 1021, w^2 - w - 8]', '[1021, 1021, 4*w^3 - 11*w - 4]', '[1021, 1021, -2*w^3 + 3*w^2 + 9*w - 8]', '[1021, 1021, -7*w^3 + w^2 + 25*w + 1]', '[1029, 21, 2*w^3 + w^2 - 11*w - 4]', '[1029, 1029, -2*w^3 + w^2 + 3*w - 5]', '[1031, 1031, 3*w^3 - 3*w^2 - 12*w + 1]', '[1039, 1039, w^3 - 5]', '[1039, 1039, -w^3 - w^2 + 7*w + 11]', '[1041, 1041, w^3 + w^2 - 9*w - 5]', '[1041, 1041, -3*w^3 - 4*w^2 + 13*w + 12]', '[1041, 1041, -5*w^3 - 2*w^2 + 16*w + 12]', '[1041, 1041, -w^3 + 4*w^2 + 2*w - 5]', '[1043, 1043, w^3 + w^2 - w - 6]', '[1049, 1049, -2*w^3 - w^2 + 11*w + 3]', '[1057, 1057, 5*w^3 + w^2 - 18*w - 5]', '[1059, 1059, -2*w^3 - w^2 + 8*w + 10]', '[1059, 1059, -2*w^3 - 2*w^2 + 7*w]', '[1061, 1061, 5*w^3 - w^2 - 16*w - 1]', '[1061, 1061, 3*w^3 + w^2 - 11*w - 1]', '[1069, 1069, 4*w^3 - 17*w - 3]', '[1069, 1069, 5*w^3 - 2*w^2 - 18*w - 2]', '[1072, 134, 4*w^3 - 10*w - 4]', '[1081, 1081, -3*w^3 - 5*w^2 + 15*w + 15]', '[1081, 1081, w^3 + 5*w^2 - 9*w - 7]', '[1083, 57, 4*w^3 - 14*w + 1]', '[1083, 57, 2*w^3 - w^2 - 11*w - 2]', '[1091, 1091, -2*w^3 - 2*w^2 + 11*w + 1]', '[1091, 1091, 3*w^3 - 2*w^2 - 14*w - 4]', '[1093, 1093, -4*w^3 + 11*w + 1]', '[1093, 1093, 4*w^3 - 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9]', '[1849, 43, w^3 + 4*w^2 - 4*w - 8]', '[1849, 1849, -5*w^3 - w^2 + 18*w + 4]', '[1849, 1849, 5*w^3 - 3*w^2 - 13*w]', '[1851, 1851, 4*w^3 + w^2 - 11*w - 9]', '[1851, 1851, w^3 + 4*w^2 - 4*w - 10]', '[1857, 1857, 5*w^3 + w^2 - 12*w - 6]', '[1863, 69, 3*w^3 + 3*w^2 - 12*w - 6]', '[1863, 1863, -w^3 + 4*w - 6]', '[1867, 1867, 2*w^3 + w^2 - 4*w - 7]', '[1869, 1869, -5*w^3 + 3*w^2 + 11*w - 3]', '[1871, 1871, -w^3 + w^2 + w - 9]', '[1873, 1873, 5*w^3 + w^2 - 17*w - 3]', '[1875, 15, 5*w^3 - 15*w - 5]', '[1879, 1879, -w^3 + 3*w - 6]', '[1889, 1889, -4*w^3 - w^2 + 18*w + 6]', '[1891, 1891, 4*w^3 - 5*w^2 - 11*w + 2]', '[1893, 1893, -3*w^3 - 2*w^2 + 9*w + 11]', '[1899, 1899, 3*w^3 + 3*w^2 - 8*w - 10]', '[1907, 1907, 2*w^3 - 2*w^2 - 5*w - 5]', '[1907, 1907, -2*w^3 - w^2 + 12*w + 1]', '[1909, 1909, -6*w^3 + 17*w + 11]', '[1917, 213, w^3 + w^2 - 9*w - 1]', '[1917, 1917, w^3 - 4*w^2 + 5*w + 7]', '[1919, 1919, 5*w^3 + 2*w^2 - 17*w - 6]', '[1919, 1919, -4*w^3 + 3*w^2 + 9*w - 6]', '[1929, 1929, 2*w^3 + w^2 - 11*w - 13]', '[1931, 1931, w^3 + w^2 - 9*w - 3]', '[1941, 1941, 3*w^3 + 2*w^2 - 8*w - 9]', '[1949, 1949, w^3 + w^2 - 5*w - 10]', '[1949, 1949, 4*w^2 - 5*w - 10]', '[1951, 1951, 3*w^3 + w^2 - 8*w - 9]', '[1951, 1951, 5*w^3 - 15*w - 3]', '[1953, 1953, w^3 + w - 5]', '[1957, 1957, -w^3 - 4*w^2 + 4*w + 9]', '[1961, 1961, -4*w^2 + 3*w + 15]', '[1967, 1967, -5*w^3 + 16*w - 3]', '[1971, 219, 5*w^3 - w^2 - 21*w + 1]', '[1971, 219, -7*w^3 + 2*w^2 + 27*w - 5]', '[1971, 1971, 5*w^2 - 4*w - 10]', '[1971, 1971, -w^3 - 4*w^2 + 9*w + 11]', '[1977, 1977, 3*w^3 - w^2 - 9*w - 8]', '[1977, 1977, 3*w^3 + w^2 - 5*w - 5]', '[1979, 1979, -4*w^3 - w^2 + 13*w]', '[1981, 1981, w^3 + 3*w^2 - 7*w - 14]', '[1981, 1981, 2*w^3 + 3*w^2 - 11*w - 13]', '[1987, 1987, -5*w^3 + 4*w^2 + 18*w - 3]', '[1987, 1987, -6*w^3 + 2*w^2 + 19*w - 1]', '[1987, 1987, -w^3 + 3*w^2 + 7*w - 7]', '[1987, 1987, w^3 + w^2 - 6]', '[1993, 1993, -3*w^3 + 3*w^2 + 7*w - 8]', '[1997, 1997, -6*w^3 + 3*w^2 + 22*w]', '[2011, 2011, -w^3 + 5*w^2 + w - 12]', '[2011, 2011, 5*w^3 - 2*w^2 - 17*w - 5]', '[2021, 2021, 5*w^3 + 4*w^2 - 24*w - 13]', '[2021, 2021, 2*w^3 - 3*w - 6]', '[2021, 2021, w^3 - 6*w^2 + 6*w + 9]', '[2021, 2021, -8*w^3 + 2*w^2 + 27*w + 4]', '[2023, 119, 7*w^3 - 2*w^2 - 26*w - 4]', '[2023, 119, -2*w^3 + 4*w^2 + 9*w]', '[2027, 2027, 3*w^3 - 3*w^2 - 12*w - 1]', '[2029, 2029, 3*w^3 + w^2 - 15*w - 3]', '[2029, 2029, 4*w^3 - 4*w^2 - 11*w + 10]', '[2031, 2031, -w^2 + w + 9]', '[2031, 2031, -w^3 + 2*w + 8]', '[2032, 254, 4*w^3 - 18*w - 6]', '[2037, 2037, 7*w^3 - 6*w^2 - 21*w + 5]', '[2037, 2037, -4*w^3 - w^2 + 15*w + 2]', '[2039, 2039, 4*w^3 - w^2 - 18*w - 4]', '[2047, 2047, -w^3 + 3*w^2 + 3*w + 3]', '[2049, 2049, -3*w^3 + 7*w + 8]', '[2051, 2051, 5*w^3 - 3*w^2 - 19*w]', '[2061, 2061, w^3 - 5*w^2 + 7]', '[2064, 258, 4*w^3 - 2*w^2 - 16*w - 4]', '[2064, 258, -2*w^3 + 2*w^2 + 12*w]', '[2077, 2077, 5*w^2 - 3*w - 7]', '[2081, 2081, 4*w^3 + w^2 - 16*w - 2]', '[2081, 2081, 2*w^2 + 3*w - 7]', '[2081, 2081, -3*w^3 + 2*w^2 + 5*w - 5]', '[2081, 2081, -w^3 + 2*w^2 - 2*w - 6]', '[2087, 2087, -5*w^3 + 17*w - 1]', '[2087, 2087, -5*w^3 + 21*w + 4]', '[2089, 2089, 5*w^3 - 5*w^2 - 15*w + 13]', '[2089, 2089, -6*w^3 + 19*w + 3]', '[2096, 262, -2*w^3 + 2*w^2 + 6*w - 10]', '[2107, 2107, -4*w^3 + 3*w^2 + 13*w + 2]', '[2107, 2107, w^2 - 9]', '[2109, 2109, 6*w^3 - 2*w^2 - 19*w]', '[2111, 2111, -5*w^3 + 3*w^2 + 16*w + 2]', '[2121, 2121, -w^3 - 2*w^2 + w + 8]', '[2121, 2121, -6*w^3 + 7*w^2 + 17*w - 6]', '[2128, 266, -4*w^3 - 2*w^2 + 12*w + 2]', '[2129, 2129, 2*w^3 + w^2 - 8*w - 11]', '[2129, 2129, 5*w^3 - 18*w]', '[2139, 2139, 5*w^3 - w^2 - 14*w + 1]', '[2141, 2141, -4*w^3 - w^2 + 13*w - 3]', '[2141, 2141, 3*w^3 + 2*w^2 - 12*w - 3]', '[2151, 2151, -w^3 + 5*w + 8]', '[2153, 2153, -7*w^3 + 2*w^2 + 23*w - 1]', '[2157, 2157, -w^2 + 7*w + 3]', '[2157, 2157, 4*w^3 - 2*w^2 - 15*w - 5]', '[2161, 2161, -w^3 + 2*w^2 - w - 7]', '[2163, 2163, 5*w^3 - 2*w^2 - 14*w - 1]', '[2177, 2177, -5*w^3 + 2*w^2 + 21*w + 1]', '[2183, 2183, -5*w^3 + 2*w^2 + 14*w - 1]', '[2183, 2183, -2*w^2 + 4*w + 11]', '[2187, 9, -6*w^3 + 3*w^2 + 18*w - 3]', '[2187, 81, 3*w^3 - 6*w - 6]', '[2187, 2187, 2*w^3 - 12*w + 1]', '[2191, 2191, 6*w^3 - w^2 - 19*w - 5]', '[2192, 274, 2*w^3 - 12*w - 4]', '[2199, 2199, w^2 - 5*w - 8]', '[2199, 2199, w - 7]', '[2201, 2201, 5*w^3 - 3*w^2 - 12*w - 1]', '[2207, 2207, -2*w^3 + 5*w^2 + 7*w - 11]', '[2209, 47, 4*w^3 + w^2 - 14*w - 1]', '[2209, 47, 3*w^3 + 2*w^2 - 13*w - 3]', '[2209, 2209, 6*w^3 - 3*w^2 - 18*w + 1]', '[2209, 2209, -5*w^3 + w^2 + 14*w + 4]', '[2213, 2213, -w - 7]', '[2217, 2217, w^3 + 3*w^2 - 2*w - 11]', '[2219, 2219, 3*w^3 + 3*w^2 - 13*w - 6]', '[2219, 2219, -2*w^3 + 2*w^2 + 12*w - 1]', '[2221, 2221, 3*w^3 - 3*w^2 - 14*w - 2]', '[2224, 278, 2*w^3 - 6*w + 6]', '[2231, 2231, 3*w^3 - 7*w - 9]', '[2231, 2231, -4*w^3 - 3*w^2 + 19*w + 16]', '[2239, 2239, 2*w^3 - 6*w - 9]', '[2239, 2239, 5*w^3 + w^2 - 19*w - 4]', '[2239, 2239, -3*w^3 - 4*w^2 + 8*w + 12]', '[2239, 2239, 5*w^3 - 2*w^2 - 18*w - 4]', '[2241, 249, -w^3 + 5*w^2 - 8]', '[2241, 2241, -2*w^3 - 6*w^2 + 13*w + 10]', '[2256, 282, -6*w^3 + 2*w^2 + 16*w + 6]', '[2256, 282, 6*w^3 + 2*w^2 - 20*w - 18]', '[2257, 2257, 3*w^3 - 4*w^2 - 10*w]', '[2259, 2259, w^3 - 3*w^2 - w - 3]', '[2259, 2259, -w^3 - 3*w^2 + w + 9]', '[2263, 2263, 7*w^3 - 3*w^2 - 22*w - 1]', '[2263, 2263, -8*w^3 + 5*w^2 + 26*w - 3]', '[2271, 2271, 5*w^3 + 3*w^2 - 23*w - 12]', '[2273, 2273, -2*w^3 - w^2 + 12*w + 4]', '[2273, 2273, -5*w^3 + 2*w^2 + 14*w]', '[2279, 2279, 9*w^3 - 2*w^2 - 31*w - 1]', '[2279, 2279, -6*w^3 - w^2 + 25*w + 10]', '[2281, 2281, w^2 + 4*w - 6]', '[2281, 2281, -2*w^3 + w^2 + 8*w - 8]', '[2281, 2281, 3*w^3 - 15*w - 5]', '[2281, 2281, -4*w^3 - 2*w^2 + 15*w + 5]', '[2287, 2287, -2*w^3 + 7*w - 6]', '[2287, 2287, -w^3 + 3*w^2 - 10]', '[2293, 2293, -w^3 + 3*w^2 - 2*w - 7]', '[2297, 2297, -w^3 + 2*w^2 + 7*w - 7]', '[2297, 2297, w^3 + 5*w^2 - 4*w - 15]', '[2303, 2303, -2*w^3 + w^2 + 7*w + 7]', '[2303, 2303, 8*w^3 - w^2 - 29*w - 9]', '[2304, 36, 4*w^3 - 4*w^2 - 12*w]', '[2309, 2309, 4*w^3 - 3*w^2 - 14*w - 1]', '[2313, 2313, -3*w^3 - w^2 + 16*w]', '[2317, 2317, 6*w^3 - 3*w^2 - 18*w + 2]', '[2319, 2319, 3*w^2 - 7*w - 8]', '[2319, 2319, -2*w^3 + 8*w + 9]', '[2323, 2323, -2*w^3 + w^2 + w + 4]', '[2323, 2323, -7*w^3 + 27*w + 14]', '[2331, 2331, 2*w^3 + w^2 - 3*w - 6]', '[2339, 2339, 5*w^3 - 19*w]', '[2351, 2351, 2*w^3 + 3*w^2 - 9*w - 3]', '[2352, 294, 2*w^2 + 4*w - 6]', '[2357, 2357, -6*w^3 + 4*w^2 + 18*w + 1]', '[2359, 2359, 2*w^3 - 13*w - 6]', '[2359, 2359, -w^3 + 4*w^2 + 6*w - 10]', '[2361, 2361, w^3 + 3*w^2 - 9*w - 10]', '[2361, 2361, 2*w^3 + w^2 - 12*w - 3]', '[2369, 2369, 5*w^3 - 18*w - 13]', '[2371, 2371, -2*w^3 + 2*w^2 + 3*w - 8]', '[2371, 2371, 3*w^3 + 2*w^2 - 11*w - 2]', '[2381, 2381, -2*w^3 + w - 6]', '[2381, 2381, -2*w^3 + 5*w^2 + 5*w - 10]', '[2383, 2383, -2*w^3 + 3*w^2 + 3*w - 8]', '[2383, 2383, w^3 - w^2 - 5*w + 9]', '[2384, 298, -2*w^3 + 4*w^2 + 2*w - 8]', '[2389, 2389, -3*w^3 - w^2 + 8*w - 5]', '[2393, 2393, 3*w^3 - 3*w^2 - 12*w - 2]', '[2401, 7, 7]', '[2401, 2401, -4*w^3 - w^2 + 17*w + 1]', '[2403, 267, -5*w^3 + 4*w^2 + 12*w - 7]', '[2403, 2403, w^3 - 2*w^2 + 5*w + 2]', '[2413, 2413, w^2 - 5*w - 9]', '[2416, 302, -6*w^3 + 2*w^2 + 22*w + 4]', '[2429, 2429, w^3 - 2*w^2 - 5*w - 5]', '[2429, 2429, -5*w^3 - 3*w^2 + 18*w + 9]', '[2429, 2429, 5*w^3 - 2*w^2 - 13*w + 2]', '[2429, 2429, -6*w^3 + 19*w + 7]', '[2433, 2433, 4*w^3 + 3*w^2 - 17*w - 8]', '[2437, 2437, 3*w^3 - w^2 - 15*w - 3]', '[2441, 2441, -2*w^3 - 3*w^2 + 8*w + 2]', '[2447, 2447, -3*w^3 + 3*w^2 + 7*w - 9]', '[2451, 2451, 2*w^3 + w^2 - 4*w - 8]', '[2451, 2451, 4*w^3 - 4*w^2 - 11*w + 11]', '[2459, 2459, 4*w^3 - 2*w^2 - 16*w - 5]', '[2463, 2463, w^3 + 2*w^2 - 10*w - 5]', '[2463, 2463, 5*w^3 + w^2 - 15*w - 12]', '[2463, 2463, 3*w^3 - 4*w^2 - 10*w - 1]', '[2463, 2463, 6*w^3 + w^2 - 25*w - 9]', '[2467, 2467, 3*w^3 - w^2 - 12*w + 8]', '[2471, 2471, w^3 - 3*w^2 - 9*w + 6]', '[2471, 2471, -5*w^3 + w^2 + 21*w + 3]', '[2473, 2473, 4*w^3 + 2*w^2 - 13*w - 3]', '[2473, 2473, 4*w^3 - 6*w^2 - 11*w + 9]', '[2477, 2477, 3*w^3 + 2*w^2 - 10*w + 1]', '[2477, 2477, -5*w^3 + 5*w^2 + 13*w - 9]', '[2479, 2479, 2*w^3 + 5*w^2 - 8*w - 9]', '[2481, 2481, -5*w^3 - 5*w^2 + 20*w + 17]', '[2487, 2487, -4*w^3 + 4*w^2 + 13*w - 1]', '[2489, 2489, 5*w^3 - 4*w^2 - 20*w + 2]', '[2491, 2491, -5*w^3 - w^2 + 16*w + 1]', '[2491, 2491, 6*w^3 - 25*w - 3]', '[2503, 2503, 3*w^3 + 2*w^2 - 10*w]', '[2511, 93, -3*w^3 + 15*w]', '[2511, 2511, -2*w^3 + 5*w^2 + 7*w - 7]', '[2512, 314, -2*w^3 + 4*w^2 + 4*w - 14]', '[2512, 314, 2*w^3 + 2*w^2 - 4*w - 8]', '[2527, 133, -2*w^3 + 4*w - 7]', '[2527, 133, 2*w^3 - 7*w - 9]', '[2529, 2529, -2*w^3 - w^2 + 8*w - 5]', '[2537, 2537, -2*w^3 + 2*w + 5]', '[2537, 2537, -4*w^3 + 19*w + 8]', '[2537, 2537, -4*w^3 + 3*w^2 + 10*w - 8]', '[2537, 2537, 7*w^3 - 22*w - 2]', '[2539, 2539, -7*w^3 + 2*w^2 + 22*w + 5]', '[2543, 2543, 5*w^3 - 4*w^2 - 17*w + 2]', '[2543, 2543, -6*w^3 + 3*w^2 + 17*w - 4]', '[2544, 318, -4*w^3 - 4*w^2 + 14*w + 18]', '[2547, 2547, -6*w^3 + 2*w^2 + 17*w + 5]', '[2547, 2547, -6*w^3 + w^2 + 19*w + 4]', '[2549, 2549, w^3 - 4*w - 8]', '[2553, 2553, -4*w^3 - 2*w^2 + 19*w + 8]', '[2557, 2557, -2*w^3 + 4*w^2 + 4*w - 13]', '[2557, 2557, 5*w^2 - w - 14]', '[2569, 2569, 7*w^3 - 24*w - 2]', '[2571, 2571, 6*w^3 + 2*w^2 - 17*w - 9]', '[2571, 2571, 4*w^3 + 5*w^2 - 16*w - 14]', '[2573, 2573, 3*w^3 - 2*w^2 - 7*w - 7]', '[2576, 322, -4*w^3 + 18*w + 2]', '[2579, 2579, -w^3 + w^2 + 6*w - 10]', '[2579, 2579, w^3 - w^2 - 6*w - 7]', '[2593, 2593, 3*w^3 + w^2 - 16*w - 8]', '[2597, 2597, -8*w^3 + 2*w^2 + 31*w + 6]', '[2601, 153, w^3 - 5*w^2 - w + 11]', '[2601, 153, -2*w^3 + 7*w^2 + 3*w - 5]', '[2603, 2603, -w^3 - 3*w - 6]', '[2608, 326, 2*w^3 - 12*w]', '[2609, 2609, -7*w^3 + 2*w^2 + 23*w + 1]', '[2611, 2611, -2*w^3 + 12*w + 3]', '[2611, 2611, -5*w^3 + w^2 + 14*w + 3]', '[2617, 2617, -3*w^3 + w^2 + 15*w - 2]', '[2619, 291, 7*w^3 - 8*w^2 - 21*w + 14]', '[2619, 291, -w^3 + 2*w^2 + 3*w - 11]', '[2619, 2619, 2*w^3 + 4*w^2 - 13*w - 5]', '[2619, 2619, -6*w^3 + w^2 + 22*w + 10]', '[2621, 2621, 7*w^3 - 3*w^2 - 26*w - 1]', '[2621, 2621, 3*w^3 + 2*w^2 - 6*w - 7]', '[2623, 2623, w^3 - 5*w^2 - 4*w + 6]', '[2623, 2623, 2*w^3 - 4*w^2 - 5*w - 3]', '[2627, 2627, 5*w^3 - 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10]', '[2713, 2713, w^3 + 2*w^2 - 7]', '[2721, 2721, 4*w^3 - 2*w^2 - 17*w - 6]', '[2721, 2721, -4*w^3 + w^2 + 14*w + 10]', '[2727, 303, 5*w^3 - w^2 - 21*w - 2]', '[2727, 303, -7*w^3 + 8*w^2 + 21*w - 11]', '[2727, 2727, -3*w^3 - 3*w^2 + 16*w + 14]', '[2727, 2727, -5*w^2 + 6*w + 2]', '[2731, 2731, -w^3 - 4*w^2 + 8*w + 13]', '[2731, 2731, 6*w^3 - 19*w - 6]', '[2731, 2731, -5*w^3 + 13*w]', '[2731, 2731, -5*w^3 + 5*w^2 + 12*w - 8]', '[2733, 2733, -w^3 - w^2 + 9*w + 11]', '[2736, 342, 4*w^3 - 18*w - 4]', '[2741, 2741, -2*w^3 + w^2 + 4*w + 8]', '[2749, 2749, 5*w^2 - 2*w - 7]', '[2751, 2751, 5*w^3 - 4*w^2 - 14*w + 10]', '[2753, 2753, -7*w^3 + 2*w^2 + 25*w + 5]', '[2753, 2753, w^3 + 2*w^2 - 8*w - 12]', '[2759, 2759, 6*w - 5]', '[2767, 2767, -w^3 + 2*w^2 - w - 8]', '[2768, 346, 4*w^3 - 2*w^2 - 18*w]', '[2773, 2773, 6*w^3 - 5*w^2 - 22*w + 5]', '[2773, 2773, -4*w^3 + 18*w + 3]', '[2773, 2773, -w^3 + 3*w^2 + 2*w - 14]', '[2773, 2773, -2*w^3 + 2*w^2 - 5]', '[2781, 309, 2*w^3 - 4*w^2 - 3*w + 10]', '[2781, 2781, 3*w^3 + 3*w^2 - 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9]', '[5509, 5509, -w^3 + 4*w - 8]', '[5509, 5509, 5*w^3 - 3*w^2 - 18*w - 4]', '[5513, 5513, 6*w^3 - 4*w^2 - 19*w - 2]', '[5517, 5517, 6*w^3 + 3*w^2 - 20*w - 19]', '[5519, 5519, 7*w^3 - 6*w^2 - 23*w + 5]', '[5521, 5521, -7*w^3 + w^2 + 25*w - 3]', '[5521, 5521, 3*w^3 - 16*w - 3]', '[5529, 5529, 12*w^3 - 7*w^2 - 39*w + 7]', '[5529, 5529, -8*w^3 + w^2 + 32*w + 5]', '[5531, 5531, -4*w^3 + 6*w^2 + 8*w - 11]', '[5531, 5531, -3*w^3 + 7*w^2 + 7*w - 15]', '[5541, 5541, 6*w^2 + w - 7]', '[5541, 5541, 4*w^3 - 15*w - 13]', '[5547, 129, 4*w^3 - 19*w - 3]', '[5547, 129, -7*w^3 + 3*w^2 + 24*w + 4]', '[5547, 5547, 4*w^3 - w^2 - 19*w + 1]', '[5547, 5547, 3*w^3 - 2*w^2 - 8*w - 8]', '[5552, 694, -6*w^3 + 2*w^2 + 22*w + 8]', '[5552, 694, 2*w^3 - 14*w + 2]', '[5552, 694, -4*w^3 - 2*w^2 + 20*w + 8]', '[5552, 694, 6*w^2 - 2*w - 8]', '[5553, 5553, -3*w^3 + 4*w^2 + 6*w + 5]', '[5553, 5553, 3*w^3 - 4*w^2 - 5*w + 9]', '[5557, 5557, 5*w^3 - 4*w^2 - 18*w]', '[5561, 5561, -6*w^3 + 2*w^2 + 23*w + 7]', '[5567, 5567, -2*w^3 + 6*w^2 + 8*w - 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2*w^2 - 22*w + 2]', '[5653, 5653, 8*w^3 - 3*w^2 - 25*w - 2]', '[5653, 5653, -2*w^3 + 4*w^2 + 12*w - 9]', '[5657, 5657, 6*w^3 - w^2 - 17*w - 2]', '[5659, 5659, 7*w^3 - 5*w^2 - 24*w + 3]', '[5667, 5667, -5*w^3 - 6*w^2 + 21*w + 20]', '[5669, 5669, -2*w^3 - 4*w^2 + 10*w + 3]', '[5673, 5673, 3*w^3 - w^2 - 3*w - 5]', '[5677, 5677, 2*w^3 + 2*w^2 - 4*w - 11]', '[5679, 5679, w^3 - w^2 - w - 8]', '[5689, 5689, 5*w^3 - 2*w^2 - 22*w]', '[5693, 5693, -4*w^3 + 5*w^2 + 13*w]', '[5693, 5693, -4*w^3 + w^2 + 13*w - 9]', '[5697, 633, w^3 - 2*w^2 + 14]', '[5697, 5697, w^2 + w + 7]', '[5701, 5701, 5*w^3 + w^2 - 17*w + 1]', '[5711, 5711, 5*w^3 - w^2 - 22*w - 1]', '[5717, 5717, -6*w^3 + 3*w^2 + 14*w + 2]', '[5719, 5719, w^3 - 6*w^2 - w + 8]', '[5719, 5719, 5*w^3 + w^2 - 19*w - 1]', '[5721, 5721, -6*w^2 + 4*w + 11]', '[5721, 5721, 7*w^3 - w^2 - 19*w - 8]', '[5723, 5723, -6*w^3 + 5*w^2 + 21*w - 3]', '[5723, 5723, -w^3 - 2*w^2 + 3*w - 5]', '[5723, 5723, 3*w^3 + 3*w^2 - 13*w - 3]', '[5723, 5723, -w^3 + 4*w^2 - 4*w - 9]', '[5727, 5727, 5*w^3 + 6*w^2 - 27*w - 17]', '[5747, 5747, 3*w^2 - w - 16]', '[5747, 5747, -3*w^3 + 2*w^2 + 3*w - 6]', '[5747, 5747, w^3 - 2*w^2 - 3*w - 6]', '[5747, 5747, 5*w^3 + 3*w^2 - 20*w - 8]', '[5751, 213, 6*w^2 - 3*w - 9]', '[5751, 5751, w^2 + 9*w + 2]', '[5757, 5757, -10*w^3 + 7*w^2 + 30*w - 9]', '[5757, 5757, -w^3 - 3*w^2 + 5*w + 17]', '[5773, 5773, w^3 + 6*w^2 - 5*w - 9]', '[5773, 5773, -3*w^3 - 2*w^2 + 17*w + 17]', '[5776, 38, -2*w^3 + 6*w^2 + 8*w - 10]', '[5776, 38, 6*w^2 - 4*w - 12]', '[5779, 5779, -7*w^3 + 4*w^2 + 22*w + 3]', '[5783, 5783, 3*w^3 - 3*w^2 - 17*w + 4]', '[5783, 5783, 3*w^2 + 4*w - 9]', '[5783, 5783, 6*w^3 - 3*w^2 - 23*w - 3]', '[5783, 5783, 5*w^3 - 6*w^2 - 13*w + 13]', '[5787, 5787, -w^3 - 4*w^2 + 11]', '[5789, 5789, -8*w^3 - w^2 + 26*w + 11]', '[5791, 5791, -w^3 + 6*w^2 + 2*w - 15]', '[5791, 5791, -7*w^3 + 6*w^2 + 22*w - 4]', '[5793, 5793, 2*w^3 + 6*w^2 - 9*w - 11]', '[5801, 5801, -6*w^3 - 3*w^2 + 24*w + 10]', '[5803, 5803, 5*w^3 - 4*w^2 - 12*w + 9]', '[5807, 5807, -3*w^3 + 4*w^2 + 6*w - 11]', '[5809, 5809, 5*w^3 + 3*w^2 - 18*w - 7]', '[5809, 5809, 9*w^3 - 3*w^2 - 34*w - 4]', '[5813, 5813, -w^3 + 2*w^2 - 2*w - 10]', '[5823, 5823, -w^3 + 2*w^2 + 2*w + 6]', '[5827, 5827, -3*w^3 - 2*w^2 + 17*w + 7]', '[5827, 5827, -2*w^3 + 2*w^2 + w - 8]', '[5843, 5843, -5*w^3 + 4*w^2 + 17*w + 1]', '[5847, 5847, 6*w^3 + 5*w^2 - 26*w - 15]', '[5847, 5847, 9*w^3 + 2*w^2 - 30*w - 14]', '[5849, 5849, -4*w^3 + 5*w^2 + 10*w - 13]', '[5853, 5853, 8*w^3 - w^2 - 29*w - 14]', '[5853, 5853, 3*w^3 - 14*w - 13]', '[5859, 651, -2*w^3 + w^2 - 7]', '[5859, 5859, 5*w^3 - 4*w^2 - 16*w - 3]', '[5867, 5867, 9*w^3 - w^2 - 29*w - 11]', '[5871, 5871, 8*w^3 - 3*w^2 - 28*w - 4]', '[5872, 734, 8*w^3 - 4*w^2 - 30*w]', '[5879, 5879, 6*w^3 - 4*w^2 - 21*w]', '[5879, 5879, -5*w^3 + 3*w^2 + 12*w - 9]', '[5881, 5881, 6*w^3 - 3*w^2 - 15*w + 1]', '[5883, 5883, -4*w^3 + 7*w^2 + 12*w - 15]', '[5888, 92, 4*w^3 + 4*w^2 - 16*w - 8]', '[5891, 5891, -5*w^3 - 3*w^2 + 16*w + 5]', '[5891, 5891, 5*w^3 - 3*w^2 - 19*w - 8]', '[5893, 5893, -4*w^3 + 5*w^2 + 14*w - 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19*w - 5]', '[9771, 9771, -7*w^3 - 3*w^2 + 22*w + 6]', '[9777, 9777, -w^3 + 5*w + 11]', '[9777, 9777, -w^3 + 7*w^2 - w - 11]', '[9781, 9781, 6*w^3 + w^2 - 22*w - 1]', '[9781, 9781, 3*w^3 + w^2 - 5*w - 9]', '[9781, 9781, w^3 + 4*w^2 + w - 11]', '[9781, 9781, 7*w^3 - 19*w - 7]', '[9787, 9787, -10*w^3 + 5*w^2 + 31*w - 1]', '[9787, 9787, -8*w^3 - 2*w^2 + 30*w + 9]', '[9791, 9791, 9*w^3 - 32*w - 3]', '[9791, 9791, 7*w^3 - 5*w^2 - 28*w + 1]', '[9797, 9797, 9*w^3 - 4*w^2 - 30*w - 4]', '[9797, 9797, -6*w^3 + 6*w^2 + 20*w - 3]', '[9797, 9797, -3*w^3 + 7*w^2 + 8*w - 13]', '[9797, 9797, -2*w^3 + 7*w^2 + 3*w - 12]', '[9807, 9807, 9*w^3 - 8*w^2 - 28*w + 21]', '[9808, 1226, -2*w^3 + 4*w^2 + 10*w - 16]', '[9811, 9811, w^3 + 6*w^2 - 4*w - 13]', '[9813, 9813, -3*w^3 + 2*w^2 + 2*w - 7]', '[9819, 9819, -w^3 + 2*w^2 + 8*w + 9]', '[9819, 9819, -6*w^3 + 12*w^2 + 8*w - 11]', '[9821, 9821, 6*w^3 - 6*w^2 - 18*w + 1]', '[9827, 9827, -3*w^3 + 8*w^2 - 12]', '[9827, 9827, 5*w^3 - 8*w^2 - 15*w + 11]', '[9829, 9829, 3*w^3 + w^2 - 18*w]', '[9829, 9829, -6*w^3 + 5*w^2 + 19*w + 1]', '[9833, 9833, 6*w^3 + 3*w^2 - 20*w - 6]', '[9837, 9837, 2*w^3 + 2*w^2 - 7]', '[9837, 9837, w^3 - 5*w^2 + 3*w + 13]', '[9839, 9839, 3*w^3 - w^2 - 3*w - 7]', '[9839, 9839, 5*w^3 - 8*w^2 - 14*w + 12]', '[9847, 9847, -5*w^3 + w^2 + 23*w + 3]', '[9847, 9847, 8*w^3 - w^2 - 23*w - 9]', '[9849, 9849, -3*w^3 + 6*w^2 + 13*w + 2]', '[9851, 9851, -2*w^3 + 4*w^2 + 11*w - 12]', '[9861, 9861, -11*w^3 + 4*w^2 + 36*w - 5]', '[9863, 9863, 10*w^3 - 3*w^2 - 38*w - 6]', '[9863, 9863, 3*w^3 + 5*w^2 - 9*w - 19]', '[9863, 9863, w^3 - 12*w - 2]', '[9863, 9863, -w^3 + 7*w^2 + 4*w - 8]', '[9869, 9869, -w^3 + 7*w^2 + 3*w - 8]', '[9871, 9871, -7*w^3 + 5*w^2 + 21*w + 3]', '[9872, 1234, 6*w^3 - 4*w^2 - 20*w - 4]', '[9872, 1234, 6*w^3 - 2*w^2 - 26*w]', '[9879, 9879, 5*w^2 - 6*w + 4]', '[9887, 9887, -8*w^3 + 3*w^2 + 24*w + 1]', '[9887, 9887, 4*w^3 + w^2 - 10*w - 14]', '[9891, 9891, -2*w^3 + 15*w + 5]', '[9891, 9891, -9*w^3 + w^2 + 29*w + 3]', '[9897, 9897, 8*w^3 + 4*w^2 - 36*w - 21]', '[9899, 9899, 6*w^3 - 5*w^2 - 21*w + 1]', '[9904, 1238, 2*w^3 - 4*w^2 - 8*w - 6]', '[9909, 1101, -7*w^3 + 8*w^2 + 27*w - 20]', '[9909, 9909, -8*w^3 + 25*w + 7]', '[9913, 9913, 2*w^3 - w^2 - 5*w - 10]', '[9913, 9913, -8*w^3 - 4*w^2 + 29*w + 14]', '[9917, 9917, w^3 + w^2 + 2*w - 9]', '[9917, 9917, -5*w^3 + 8*w^2 + 14*w - 13]', '[9921, 9921, 5*w^3 - w^2 - 24*w - 7]', '[9921, 9921, 2*w^3 + w^2 - 16*w - 14]', '[9927, 9927, -4*w^2 + 11*w + 2]', '[9927, 9927, 4*w^3 + 2*w^2 - 21*w - 6]', '[9929, 9929, 6*w^3 + w^2 - 21*w]', '[9936, 138, -2*w^3 + 4*w^2 - 10]', '[9936, 1242, -2*w^3 - 4*w^2 + 4*w + 14]', '[9939, 9939, -2*w^3 - 5*w^2 + 15*w + 16]', '[9943, 9943, -3*w^3 + 5*w^2 + 4*w - 11]', '[9949, 9949, 3*w^3 + 2*w^2 - 18*w - 4]', '[9949, 9949, -8*w^3 + 4*w^2 + 23*w - 3]', '[9957, 9957, -w^3 - 6*w^2 + 10*w + 18]', '[9957, 9957, 6*w^3 - 3*w^2 - 22*w - 8]', '[9961, 9961, w^3 + 7*w^2 - 4*w - 20]', '[9961, 9961, 7*w^3 - 20*w - 4]', '[9968, 1246, 4*w^3 - 6*w^2 - 16*w + 2]', '[9973, 9973, 7*w^3 + 2*w^2 - 28*w - 7]', '[9973, 9973, 7*w^3 - 6*w^2 - 21*w + 1]', '[9983, 9983, -2*w^3 + 2*w^2 + 6*w - 13]', '[9987, 9987, 7*w^3 - w^2 - 20*w - 4]', '[9989, 9989, 2*w^3 + 7*w^2 - 9*w - 22]', '[9991, 9991, -4*w^3 + 4*w^2 + 9*w - 13]', '[9991, 9991, 6*w^3 - 27*w - 1]', '[9993, 9993, -w^3 + 7*w + 12]', '[9993, 9993, -3*w^3 + 2*w^2 + 3*w - 8]', '[10000, 10, -10]'], 'label': '4.4.1957.1', 'narrow_class_no': 1, 'primes': ['[3, 3, -w^3 + 3*w + 1]', '[7, 7, -w^2 + 2]', '[16, 2, 2]', '[19, 19, -w^3 + w^2 + 4*w]', '[23, 23, w^3 + w^2 - 4*w - 2]', '[27, 3, -2*w^3 + w^2 + 6*w - 1]', '[31, 31, -w^3 + 5*w]', '[37, 37, -w^3 + 5*w + 1]', '[43, 43, w^2 + w - 3]', '[43, 43, -w^2 + 2*w + 3]', '[47, 47, -w^3 + w^2 + 2*w + 2]', '[47, 47, 3*w^3 - w^2 - 10*w - 2]', '[53, 53, -w^3 + w^2 + 2*w - 3]', '[59, 59, -2*w^3 + w^2 + 8*w + 1]', '[59, 59, w^3 - 2*w^2 - 3*w + 3]', '[61, 61, -w^3 + w^2 + w - 2]', '[67, 67, 2*w^3 - 5*w - 2]', '[71, 71, 2*w^2 - w - 3]', '[73, 73, 2*w^2 - w - 5]', '[73, 73, w^3 - 2*w^2 - 2*w + 5]', '[83, 83, w^3 + w^2 - 6*w - 3]', '[89, 89, w^3 + w^2 - 4*w]', '[97, 97, 2*w^3 - 9*w]', '[97, 97, 3*w^3 - 10*w - 3]', '[101, 101, w^3 + 2*w^2 - 4*w - 6]', '[101, 101, w^3 - 6*w + 1]', '[103, 103, -2*w^3 - w^2 + 8*w + 3]', '[127, 127, 2*w^3 - 9*w - 3]', '[131, 131, -w^3 + w^2 + 3*w - 5]', '[137, 137, w^3 - 6*w - 2]', '[139, 139, w^3 - 3*w + 3]', '[149, 149, -w^3 + 2*w^2 + w - 4]', '[151, 151, -3*w^3 + w^2 + 11*w + 2]', '[157, 157, -w^3 + 2*w^2 + 2*w - 7]', '[157, 157, w^3 + w^2 - 2*w - 4]', '[163, 163, w^3 - 6*w]', '[173, 173, 2*w^3 - w^2 - 9*w]', '[181, 181, -w^3 - w^2 + 7*w]', '[197, 197, -w - 4]', '[197, 197, -2*w^3 + 3*w^2 + 6*w - 5]', '[199, 199, -3*w^3 + w^2 + 9*w + 1]', '[199, 199, -2*w^3 + 2*w^2 + 9*w - 5]', '[211, 211, -w^3 + 2*w^2 + 5*w - 5]', '[229, 229, 2*w^3 + w^2 - 8*w - 2]', '[239, 239, 3*w^3 - w^2 - 12*w - 3]', '[251, 251, -2*w^3 + 2*w^2 + 7*w]', '[251, 251, 4*w^3 - 13*w - 2]', '[257, 257, -2*w^3 + 3*w^2 + 5*w - 7]', '[281, 281, -3*w^3 + 3*w^2 + 11*w - 3]', '[283, 283, w^3 + 2*w^2 - 3*w - 8]', '[283, 283, 2*w^3 + w^2 - 6*w - 7]', '[289, 17, -w^3 - 2*w^2 + 4*w + 1]', '[289, 17, 4*w^3 - 15*w - 2]', '[293, 293, 3*w^3 - 11*w]', '[311, 311, -4*w^3 + w^2 + 13*w]', '[313, 313, 2*w^3 + w^2 - 10*w - 3]', '[317, 317, 3*w^3 - w^2 - 8*w + 1]', '[317, 317, 3*w^3 - 2*w^2 - 9*w - 2]', '[331, 331, 2*w^3 - 10*w + 1]', '[337, 337, -2*w^3 + 2*w^2 + 5*w - 6]', '[337, 337, 3*w^3 - 8*w - 3]', '[343, 7, -w^3 + 3*w^2 + 2*w - 5]', '[347, 347, -3*w^3 + w^2 + 11*w + 4]', '[347, 347, w^3 - 7*w + 1]', '[347, 347, -2*w^3 - w^2 + 10*w + 4]', '[347, 347, 3*w^2 - w - 4]', '[353, 353, 3*w^3 - 2*w^2 - 7*w + 4]', '[353, 353, -4*w^3 + w^2 + 13*w + 1]', '[361, 19, -w^3 + 3*w^2 + 4*w - 5]', '[367, 367, 4*w^3 - 2*w^2 - 15*w]', '[373, 373, -w^3 - w^2 + 7*w + 2]', '[373, 373, -3*w^3 + w^2 + 8*w + 1]', '[383, 383, -2*w^3 - w^2 + 7*w]', '[401, 401, -w^3 + 4*w - 4]', '[401, 401, 3*w^3 - 13*w - 4]', '[409, 409, -w^3 + 3*w^2 + 3*w - 6]', '[409, 409, 3*w^3 - 2*w^2 - 11*w]', '[419, 419, -4*w^3 + 14*w + 1]', '[421, 421, 4*w^3 - 13*w - 4]', '[421, 421, w^3 + 2*w^2 - 6*w - 10]', '[431, 431, w^2 - w - 7]', '[431, 431, -3*w^3 + 12*w - 1]', '[439, 439, 3*w^3 - 11*w + 1]', '[443, 443, 2*w^3 + 2*w^2 - 11*w - 9]', '[443, 443, -4*w^3 + 3*w^2 + 13*w - 2]', '[449, 449, 3*w^3 + w^2 - 10*w - 2]', '[457, 457, -3*w^3 + 3*w^2 + 10*w - 2]', '[457, 457, w^3 + w^2 - 2*w - 7]', '[461, 461, 2*w^3 - w^2 - 10*w + 2]', '[467, 467, -2*w^3 + 3*w^2 + 6*w - 11]', '[479, 479, 3*w^3 + w^2 - 12*w - 3]', '[479, 479, -w^3 + 2*w^2 + w - 6]', '[487, 487, 3*w^2 - 7]', '[487, 487, -w^3 - 3*w^2 + 5*w + 7]', '[487, 487, -w^3 + w^2 - 4]', '[487, 487, 3*w^3 - 13*w - 3]', '[491, 491, 3*w^3 - 3*w^2 - 9*w + 1]', '[499, 499, -2*w^3 - 3*w^2 + 6*w + 10]', '[499, 499, 2*w^3 - 10*w - 3]', '[509, 509, -3*w^2 + w + 7]', '[509, 509, 2*w^3 - w^2 - 10*w - 1]', '[521, 521, w - 5]', '[541, 541, 3*w^2 - 5]', '[547, 547, 3*w^2 - w - 6]', '[547, 547, -w^3 + 2*w^2 + 5*w - 7]', '[557, 557, 2*w^3 - w^2 - 6*w + 6]', '[557, 557, -3*w^3 - w^2 + 9*w]', '[563, 563, -w^3 + 4*w^2 + 3*w - 11]', '[569, 569, 3*w^3 - 12*w + 2]', '[577, 577, 2*w^3 + w^2 - 5*w - 6]', '[577, 577, 3*w^3 - w^2 - 13*w + 1]', '[587, 587, 2*w^3 - w^2 - 10*w + 1]', '[599, 599, w^3 - w^2 - 3*w - 4]', '[613, 613, -w^3 + 2*w^2 + 5*w - 8]', '[617, 617, 3*w^3 - 2*w^2 - 10*w - 2]', '[617, 617, 3*w^3 - w^2 - 13*w]', '[619, 619, w^3 - 2*w^2 - 4*w - 3]', '[625, 5, -5]', '[631, 631, -4*w^3 + 2*w^2 + 14*w + 1]', '[643, 643, 5*w^3 - 16*w - 2]', '[647, 647, 3*w^3 - 2*w^2 - 11*w - 1]', '[659, 659, 2*w^3 - 3*w^2 - 7*w]', '[659, 659, 4*w^3 - 2*w^2 - 11*w - 1]', '[677, 677, -5*w^3 + 2*w^2 + 16*w - 2]', '[677, 677, -5*w^3 + 3*w^2 + 15*w - 2]', '[683, 683, -4*w^3 + 3*w^2 + 12*w]', '[719, 719, w^3 - 4*w^2 - 2*w + 4]', '[719, 719, w^3 + w^2 - w - 5]', '[733, 733, 3*w^3 + w^2 - 10*w - 1]', '[733, 733, 5*w^3 - 3*w^2 - 15*w + 3]', '[739, 739, 5*w^3 - 3*w^2 - 18*w + 2]', '[757, 757, 4*w^2 - 3*w - 9]', '[773, 773, -4*w^3 + w^2 + 12*w + 1]', '[773, 773, w^3 + 3*w^2 - 6*w - 3]', '[787, 787, 2*w^3 + 2*w^2 - 9*w - 3]', '[787, 787, -2*w^3 + 4*w^2 + 5*w - 6]', '[811, 811, -w^3 + 3*w^2 - 7]', '[821, 821, 4*w^3 - 2*w^2 - 13*w - 3]', '[821, 821, w^3 + w - 3]', '[821, 821, -w^3 + 4*w^2 + w - 5]', '[821, 821, -w^3 + 4*w^2 + 2*w - 10]', '[827, 827, -3*w^3 - w^2 + 14*w + 6]', '[829, 829, w^3 - w^2 - 7*w + 5]', '[857, 857, w^3 - w^2 - 5*w - 5]', '[857, 857, 2*w^3 + w^2 - 11*w - 5]', '[881, 881, -3*w^3 - 2*w^2 + 13*w + 5]', '[881, 881, -2*w^3 + 4*w^2 + 7*w - 8]', '[907, 907, w^3 + 2*w^2 - w - 6]', '[907, 907, -4*w^3 + w^2 + 11*w + 3]', '[911, 911, -4*w^3 - w^2 + 13*w + 2]', '[929, 929, -w^3 + w^2 + 3*w - 7]', '[937, 937, -w^3 + 4*w - 5]', '[937, 937, -4*w^2 + 3*w + 8]', '[941, 941, 5*w^3 - 19*w - 2]', '[941, 941, 3*w^3 - 14*w - 5]', '[947, 947, 3*w^3 - 2*w^2 - 12*w - 2]', '[947, 947, -4*w^3 + w^2 + 11*w - 1]', '[967, 967, -2*w^3 - 2*w^2 + 7*w + 1]', '[967, 967, -w^3 + 2*w^2 - 6]', '[971, 971, -2*w^3 + 4*w^2 + 7*w - 7]', '[977, 977, w^3 + w^2 - 8*w - 2]', '[977, 977, w^3 - 4*w^2 - w + 6]', '[991, 991, 3*w^3 - 14*w]', '[991, 991, -3*w^3 + 3*w^2 + 11*w - 1]']}
66. label: 4.4.2000.1
    {'degree': 4, 'discriminant': 2000, 'ideals': ['[1, 1, 1]', '[4, 2, -w^3 - w^2 + 3*w + 4]', '[5, 5, w]', '[16, 2, 2]', '[19, 19, -w^2 + w + 4]', '[19, 19, w^3 - w^2 - 3*w + 1]', '[19, 19, -w^3 - w^2 + 3*w + 1]', '[19, 19, -w^2 - w + 4]', '[20, 10, -w^3 - 2*w^2 + 4*w + 5]', '[25, 5, -2*w^2 + 5]', '[41, 41, w + 3]', '[41, 41, -w^3 + 3*w + 3]', '[41, 41, -w^3 + 3*w - 3]', '[41, 41, w - 3]', '[59, 59, 2*w^2 + w - 7]', '[59, 59, -w^3 - 2*w^2 + 3*w + 3]', '[59, 59, 2*w^3 - w^2 - 7*w + 2]', '[59, 59, w^3 - w^2 - w + 3]', '[61, 61, 3*w^2 - w - 8]', '[61, 61, w^3 + 3*w^2 - 3*w - 7]', '[61, 61, -w^3 + 3*w^2 + 3*w - 7]', '[61, 61, -3*w^2 - w + 8]', '[64, 4, -2*w^3 - 2*w^2 + 6*w + 8]', '[76, 38, -3*w^2 - w + 7]', '[76, 38, -w^3 - 3*w^2 + 3*w + 8]', '[76, 38, -w^3 + 3*w^2 + 3*w - 8]', '[76, 38, -3*w^2 + w + 7]', '[79, 79, -w^3 + 2*w^2 + 2*w - 6]', '[79, 79, w^3 + 2*w^2 - 4*w - 4]', '[79, 79, -w^3 + 2*w^2 + 4*w - 4]', '[79, 79, w^3 + 2*w^2 - 2*w - 6]', '[80, 10, 2*w]', '[81, 3, -3]', '[95, 95, -w^3 + w^2 + 4*w]', '[95, 95, w^3 - w^2 - 2*w + 5]', '[95, 95, w^3 + w^2 - 2*w - 5]', '[95, 95, -w^3 - w^2 + 4*w]', '[100, 10, -w^3 - 3*w^2 + 5*w + 10]', '[101, 101, 2*w^3 + w^2 - 5*w - 2]', '[101, 101, w^3 + w^2 - 5*w - 3]', '[101, 101, -w^3 + w^2 + 5*w - 3]', '[101, 101, -2*w^3 + w^2 + 5*w - 2]', '[121, 11, 3*w^2 - 8]', '[121, 11, -w^2 + 6]', '[125, 5, -2*w^3 + 5*w]', '[139, 139, 2*w^3 - 3*w^2 - 4*w + 7]', '[139, 139, -2*w^3 + 7*w - 4]', '[139, 139, 2*w^3 - 3*w^2 - 8*w + 8]', '[139, 139, -2*w^3 - 3*w^2 + 4*w + 7]', '[164, 82, w^3 + 2*w^2 - 4*w - 3]', '[164, 82, w^3 - 2*w^2 - 2*w + 7]', '[164, 82, w^3 + 2*w^2 - 2*w - 7]', '[164, 82, -w^3 + 2*w^2 + 4*w - 3]', '[179, 179, 3*w^3 + 2*w^2 - 9*w - 3]', '[179, 179, 2*w^2 + 3*w - 7]', '[179, 179, 2*w^2 - 3*w - 7]', '[179, 179, -3*w^3 + 2*w^2 + 9*w - 3]', '[181, 181, 4*w^3 + 2*w^2 - 13*w - 9]', '[181, 181, w^3 + 4*w^2 - 4*w - 12]', '[181, 181, 4*w^3 + 4*w^2 - 14*w - 17]', '[181, 181, -3*w^3 - 3*w^2 + 12*w + 11]', '[199, 199, -3*w^2 + 2*w + 9]', '[199, 199, -2*w^3 + 8*w - 3]', '[199, 199, 2*w^3 - 8*w - 3]', '[199, 199, 2*w^3 + 4*w^2 - 9*w - 14]', '[205, 205, w^2 + 3*w]', '[205, 205, -3*w^3 - w^2 + 9*w + 5]', '[205, 205, 3*w^3 - w^2 - 9*w + 5]', '[205, 205, w^2 - 3*w]', '[236, 118, 2*w^3 + 3*w^2 - 7*w - 13]', '[236, 118, -w^3 - 2*w^2 + 6*w + 7]', '[236, 118, 5*w^3 + 3*w^2 - 17*w - 12]', '[236, 118, -w^3 - 5*w^2 + 5*w + 12]', '[239, 239, -3*w^3 + w^2 + 9*w + 1]', '[239, 239, w^2 - 3*w - 6]', '[239, 239, w^2 + 3*w - 6]', '[239, 239, 3*w^3 + w^2 - 9*w + 1]', '[241, 241, 4*w^2 + w - 11]', '[241, 241, w^3 - w^2 - 4*w + 7]', '[241, 241, -w^3 - w^2 + 4*w + 7]', '[241, 241, 4*w^2 - w - 11]', '[244, 122, 3*w^3 + 7*w^2 - 13*w - 22]', '[244, 122, 3*w^3 + 5*w^2 - 13*w - 18]', '[244, 122, -w^3 + 3*w^2 + w - 8]', '[244, 122, -w^3 - 3*w^2 + 5*w + 12]', '[256, 4, 4]', '[281, 281, 3*w^3 + 2*w^2 - 8*w - 6]', '[281, 281, w^3 + w^2 - 3*w - 7]', '[281, 281, -w^3 + w^2 + 3*w - 7]', '[281, 281, -3*w^3 + 2*w^2 + 8*w - 6]', '[295, 295, 2*w^3 + w^2 - 7*w]', '[295, 295, -2*w^3 - 2*w^2 + 3*w + 5]', '[295, 295, -w^3 + 3*w^2 + 2*w - 10]', '[295, 295, -w^3 + 4*w^2 + 3*w - 5]', '[304, 38, -2*w^2 + 2*w + 8]', '[304, 38, 2*w^3 - 2*w^2 - 6*w + 2]', '[304, 38, -2*w^3 - 2*w^2 + 6*w + 2]', '[304, 38, -2*w^2 - 2*w + 8]', '[305, 305, 3*w^3 + 2*w^2 - 7*w - 5]', '[305, 305, 3*w^3 - w^2 - 8*w]', '[305, 305, -3*w^3 - w^2 + 8*w]', '[305, 305, 3*w^3 - 2*w^2 - 7*w + 5]', '[316, 158, w^3 + 5*w^2 - 5*w - 14]', '[316, 158, 3*w^3 + 5*w^2 - 13*w - 16]', '[316, 158, -3*w^3 - w^2 + 9*w + 4]', '[316, 158, 3*w^3 + 3*w^2 - 11*w - 14]', '[320, 20, -2*w^3 - 4*w^2 + 8*w + 10]', '[324, 6, 3*w^3 + 3*w^2 - 9*w - 12]', '[359, 359, 2*w^3 - 2*w^2 - 5*w + 8]', '[359, 359, -3*w^3 - 2*w^2 + 10*w + 4]', '[359, 359, 3*w^3 - 2*w^2 - 10*w + 4]', '[359, 359, 2*w^3 + 2*w^2 - 5*w - 8]', '[361, 19, -4*w^2 + 11]', '[361, 19, 3*w^3 - 2*w^2 - 8*w + 4]', '[361, 19, -3*w^3 - 2*w^2 + 8*w + 4]', '[361, 19, -w^3 + 2*w^2 + 6*w - 6]', '[361, 19, w^3 + 2*w^2 - 6*w - 6]', '[361, 19, 4*w^2 - 9]', '[361, 361, w^2 - 3*w - 2]', '[361, 361, 3*w^3 - w^2 - 9*w + 3]', '[361, 361, 3*w^3 + w^2 - 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6*w - 7]', '[1699, 1699, 5*w^2 + 2*w - 18]', '[1699, 1699, -2*w^3 + 2*w^2 + 2*w - 7]', '[1699, 1699, -2*w^3 + 5*w^2 + 6*w - 7]', '[1721, 1721, 5*w^3 + w^2 - 16*w - 3]', '[1721, 1721, 3*w^3 + w^2 - 13*w - 3]', '[1721, 1721, w^3 + w^2 + 2*w - 2]', '[1721, 1721, -4*w^3 + w^2 + 9*w - 2]', '[1741, 1741, -w^3 - 2*w^2 + 3*w + 12]', '[1741, 1741, w^3 + 6*w^2 - 3*w - 16]', '[1741, 1741, -w^3 + 6*w^2 + 3*w - 16]', '[1741, 1741, w^3 - 2*w^2 - 3*w + 12]', '[1756, 878, -4*w^3 - 9*w^2 + 15*w + 29]', '[1756, 878, 4*w^3 + 5*w^2 - 17*w - 17]', '[1756, 878, -6*w^3 - 3*w^2 + 19*w + 13]', '[1756, 878, -6*w^3 - 7*w^2 + 21*w + 29]', '[1759, 1759, w^3 + 4*w^2 - w - 14]', '[1759, 1759, 3*w^3 + 2*w^2 - 11*w - 2]', '[1759, 1759, -3*w^3 + 2*w^2 + 11*w - 2]', '[1759, 1759, w^3 - 4*w^2 - w + 14]', '[1795, 1795, -2*w^3 + 5*w^2 + 4*w - 15]', '[1795, 1795, -2*w^3 + 5*w^2 + 8*w - 10]', '[1795, 1795, 2*w^3 + 5*w^2 - 8*w - 10]', '[1795, 1795, -2*w^3 - 5*w^2 + 4*w + 15]', '[1801, 1801, -4*w^3 + w^2 + 10*w - 1]', '[1801, 1801, 2*w^3 + w^2 - 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6*w^2 + 8*w + 10]', '[1895, 1895, -3*w^3 + 6*w^2 + 8*w - 10]', '[1895, 1895, -3*w^3 + 2*w^2 + 7*w - 10]', '[1900, 190, 2*w^3 + w^2 - 5*w + 5]', '[1900, 190, -w^3 - w^2 + 5*w + 10]', '[1900, 190, -w^3 + w^2 + 5*w - 10]', '[1900, 190, -2*w^3 + w^2 + 5*w + 5]', '[1901, 1901, 4*w^3 + w^2 - 10*w - 2]', '[1901, 1901, -2*w^3 + w^2 + 10*w - 3]', '[1901, 1901, 2*w^3 + w^2 - 10*w - 3]', '[1901, 1901, -4*w^3 + w^2 + 10*w - 2]', '[1916, 958, -w^3 - 3*w^2 + 9*w + 12]', '[1916, 958, -w^3 - 8*w^2 + 10*w + 19]', '[1916, 958, 5*w^3 + 4*w^2 - 14*w - 11]', '[1916, 958, 5*w^3 - 3*w^2 - 11*w + 2]', '[1919, 1919, -3*w^3 - 2*w^2 + 4*w - 2]', '[1919, 1919, -4*w^3 + 6*w^2 + 12*w - 13]', '[1919, 1919, -6*w^2 + 4*w + 17]', '[1919, 1919, -2*w^3 - 4*w^2 + 8*w + 7]', '[1919, 1919, -2*w^3 + 4*w^2 + 4*w - 13]', '[1919, 1919, 3*w^3 + 2*w^2 - 12*w - 2]', '[1919, 1919, 3*w^3 - 2*w^2 - 6*w + 8]', '[1919, 1919, 5*w^3 + 2*w^2 - 18*w - 12]', '[1919, 1919, -5*w^3 + 2*w^2 + 18*w - 12]', '[1919, 1919, -3*w^3 - 2*w^2 + 6*w + 8]', '[1919, 1919, -3*w^3 + 2*w^2 + 12*w - 2]', '[1919, 1919, 2*w^3 + 4*w^2 - 4*w - 13]', '[1919, 1919, 2*w^3 - 4*w^2 - 8*w + 7]', '[1919, 1919, -6*w^2 - 4*w + 17]', '[1919, 1919, 4*w^3 + 6*w^2 - 12*w - 13]', '[1919, 1919, 3*w^3 - 2*w^2 - 4*w - 2]', '[1936, 22, 6*w^2 - 16]', '[1936, 22, -2*w^2 + 12]', '[1975, 395, w^3 + 2*w^2 - 10]', '[1975, 395, 3*w^3 - 2*w^2 - 10*w]', '[1975, 395, -3*w^3 - 2*w^2 + 10*w]', '[1975, 395, -w^3 + 2*w^2 - 10]', '[1979, 1979, -3*w^3 + 5*w^2 + 9*w - 9]', '[1979, 1979, 5*w^2 - 3*w - 16]', '[1979, 1979, 5*w^2 + 3*w - 16]', '[1979, 1979, 3*w^3 + 5*w^2 - 9*w - 9]', '[1996, 998, 5*w^3 + 7*w^2 - 21*w - 24]', '[1996, 998, 3*w^3 + 3*w^2 - 11*w - 16]', '[1996, 998, 3*w^3 + 9*w^2 - 13*w - 26]', '[1996, 998, -5*w^3 - w^2 + 15*w + 6]', '[1999, 1999, -2*w^3 + w^2 + 3*w - 8]', '[1999, 1999, -3*w^3 - w^2 + 11*w - 3]', '[1999, 1999, 3*w^3 - w^2 - 11*w - 3]', '[1999, 1999, 2*w^3 + w^2 - 3*w - 8]', '[2000, 10, -4*w^3 + 10*w]', '[2005, 2005, w^3 - 7*w^2 - 4*w + 15]', '[2005, 2005, w^3 - w^2 - w - 5]', '[2005, 2005, w^3 + w^2 - w + 5]', '[2005, 2005, w^3 + 7*w^2 - 4*w - 15]', '[2020, 1010, w^3 + 4*w^2 - 8*w - 15]', '[2020, 1010, 7*w^3 + 6*w^2 - 22*w - 25]', '[2020, 1010, -3*w^3 - 4*w^2 + 8*w + 15]', '[2020, 1010, w^3 - 6*w^2 + 2*w + 15]', '[2025, 15, 6*w^2 - 15]', '[2039, 2039, -4*w^3 + 7*w^2 + 16*w - 19]', '[2039, 2039, 3*w^3 + 5*w^2 - 8*w - 4]', '[2039, 2039, -3*w^3 + 5*w^2 + 8*w - 4]', '[2039, 2039, 4*w^3 + 7*w^2 - 16*w - 19]', '[2081, 2081, -5*w - 3]', '[2081, 2081, 5*w^3 - 15*w - 3]', '[2081, 2081, -5*w^3 + 15*w - 3]', '[2081, 2081, 5*w - 3]', '[2084, 1042, -6*w^3 - 3*w^2 + 21*w + 17]', '[2084, 1042, 5*w^3 + 8*w^2 - 20*w - 23]', '[2084, 1042, -5*w^3 - 6*w^2 + 18*w + 17]', '[2084, 1042, 4*w^3 - w^2 - 13*w - 3]', '[2095, 2095, 5*w^2 - 4*w - 15]', '[2095, 2095, 4*w^3 - 5*w^2 - 12*w + 10]', '[2095, 2095, 4*w^3 + 5*w^2 - 12*w - 10]', '[2095, 2095, -3*w^3 + 4*w^2 + w - 10]', '[2099, 2099, 4*w^3 - 2*w^2 - 15*w + 3]', '[2099, 2099, 3*w^3 - 2*w^2 - 5*w + 7]', '[2099, 2099, -3*w^3 - 2*w^2 + 5*w + 7]', '[2099, 2099, -4*w^3 - 2*w^2 + 15*w + 3]', '[2105, 2105, 7*w^2 - 2*w - 15]', '[2105, 2105, w^2 + 2*w + 5]', '[2105, 2105, -w^2 + 2*w - 5]', '[2105, 2105, -7*w^2 - 2*w + 15]', '[2141, 2141, 5*w^3 + 2*w^2 - 15*w - 4]', '[2141, 2141, 2*w^2 + 5*w - 6]', '[2141, 2141, 2*w^2 - 5*w - 6]', '[2141, 2141, -5*w^3 + 2*w^2 + 15*w - 4]', '[2161, 2161, -w - 7]', '[2161, 2161, w^3 - 3*w - 7]', '[2161, 2161, -w^3 + 3*w - 7]', '[2161, 2161, w - 7]', '[2164, 1082, 5*w^3 - 16*w - 7]', '[2164, 1082, -4*w^3 - 5*w^2 + 15*w + 13]', '[2164, 1082, 6*w^3 + 9*w^2 - 23*w - 27]', '[2164, 1082, 5*w^3 + 2*w^2 - 18*w - 13]', '[2179, 2179, -4*w^3 + 3*w^2 + 14*w - 6]', '[2179, 2179, 2*w^3 + 3*w^2 - 4*w - 12]', '[2179, 2179, -2*w^3 + 3*w^2 + 4*w - 12]', '[2179, 2179, 4*w^3 + 3*w^2 - 14*w - 6]', '[2195, 2195, -3*w^3 + 3*w^2 + 11*w - 5]', '[2195, 2195, 2*w^3 + 3*w^2 - 3*w - 10]', '[2195, 2195, 2*w^3 - 3*w^2 - 3*w + 10]', '[2195, 2195, -3*w^3 - 3*w^2 + 11*w + 5]', '[2221, 2221, -4*w^3 + w^2 + 13*w - 12]', '[2221, 2221, -3*w^3 + 4*w^2 + 14*w - 14]', '[2221, 2221, 8*w^3 + 6*w^2 - 27*w - 22]', '[2221, 2221, 4*w^3 + w^2 - 13*w - 12]', '[2224, 278, 4*w^3 - 6*w^2 - 8*w + 14]', '[2224, 278, -4*w^3 + 14*w - 8]', '[2224, 278, 4*w^3 - 6*w^2 - 16*w + 16]', '[2224, 278, -4*w^3 - 6*w^2 + 8*w + 14]', '[2239, 2239, -4*w^3 - 3*w^2 + 12*w + 3]', '[2239, 2239, 3*w^2 + 4*w - 12]', '[2239, 2239, 3*w^2 - 4*w - 12]', '[2239, 2239, 4*w^3 - 3*w^2 - 12*w + 3]', '[2281, 2281, -6*w^3 - 4*w^2 + 19*w + 14]', '[2281, 2281, -4*w^3 + 2*w^2 + 17*w - 4]', '[2281, 2281, 4*w^3 + 2*w^2 - 17*w - 4]', '[2281, 2281, 6*w^3 - 4*w^2 - 19*w + 14]', '[2299, 209, 3*w^3 + 5*w^2 - 8*w - 17]', '[2299, 209, -w^3 - 5*w^2 + 6*w + 19]', '[2299, 209, -2*w^3 - 4*w^2 + 9*w + 7]', '[2299, 209, 4*w^3 - 2*w^2 - 13*w + 1]', '[2299, 209, 2*w^3 - 4*w^2 - 9*w + 7]', '[2299, 209, -4*w^3 - 2*w^2 + 13*w + 1]', '[2299, 209, -3*w^3 + 5*w^2 + 8*w - 17]', '[2299, 209, w^3 - 5*w^2 - 6*w + 19]', '[2305, 2305, w^3 + w^2 - 4*w + 5]', '[2305, 2305, w^3 + 7*w^2 - w - 15]', '[2305, 2305, -w^3 + 7*w^2 + w - 15]', '[2305, 2305, w^3 - w^2 - 4*w - 5]', '[2339, 2339, 2*w^3 - 7*w^2 - 10*w + 23]', '[2339, 2339, w^3 + 4*w^2 - 8*w - 4]', '[2339, 2339, -w^3 + 4*w^2 + 8*w - 4]', '[2339, 2339, -5*w^3 + 4*w^2 + 14*w - 16]', '[2341, 2341, -5*w^3 + 4*w^2 + 13*w - 8]', '[2341, 2341, -3*w^3 + 8*w^2 + 7*w - 19]', '[2341, 2341, 3*w^3 + 8*w^2 - 7*w - 19]', '[2341, 2341, 5*w^3 + 4*w^2 - 13*w - 8]', '[2375, 95, -3*w^3 - 5*w^2 + 10*w + 10]', '[2375, 95, -w^3 + 5*w^2 - 15]', '[2375, 95, -w^3 - 5*w^2 + 15]', '[2375, 95, -3*w^3 + 5*w^2 + 10*w - 10]', '[2381, 2381, 6*w^3 + 4*w^2 - 19*w - 12]', '[2381, 2381, -4*w^3 + 4*w^2 + 17*w - 12]', '[2381, 2381, 4*w^3 + 4*w^2 - 17*w - 12]', '[2381, 2381, -5*w^3 + 4*w^2 + 11*w - 8]', '[2395, 2395, -5*w^3 - 5*w^2 + 8*w + 10]', '[2395, 2395, -4*w^3 - 3*w^2 + 6*w]', '[2395, 2395, -4*w^3 + 3*w^2 + 6*w]', '[2395, 2395, -5*w^3 + 5*w^2 + 8*w - 10]', '[2396, 1198, w^3 + 7*w^2 - 5*w - 18]', '[2396, 1198, 7*w^3 + 5*w^2 - 23*w - 18]', '[2396, 1198, -5*w^3 - 7*w^2 + 21*w + 22]', '[2396, 1198, 5*w^3 + 3*w^2 - 17*w - 18]', '[2399, 2399, -w^3 + 5*w^2 + w - 17]', '[2399, 2399, 3*w^3 + 2*w^2 - 11*w - 1]', '[2399, 2399, -3*w^3 + 2*w^2 + 11*w - 1]', '[2399, 2399, w^3 + 5*w^2 - w - 17]', '[2401, 7, -7]', '[2404, 1202, 10*w^3 + 9*w^2 - 37*w - 37]', '[2404, 1202, -5*w^3 - 12*w^2 + 22*w + 33]', '[2404, 1202, 3*w^3 + 4*w^2 - 10*w - 7]', '[2404, 1202, -6*w^3 + w^2 + 19*w + 3]', '[2419, 2419, -7*w^3 + 6*w^2 + 23*w - 16]', '[2419, 2419, -6*w^3 + 7*w^2 + 22*w - 21]', '[2419, 2419, -4*w^3 + 7*w^2 + 6*w - 14]', '[2419, 2419, 6*w^3 + w^2 - 20*w - 9]', '[2419, 2419, -4*w^3 + 7*w - 4]', '[2419, 2419, 5*w^3 - 19*w - 4]', '[2419, 2419, 2*w^3 - 6*w^2 + w + 14]', '[2419, 2419, 2*w^3 - 5*w^2 - 10*w + 21]', '[2419, 2419, 2*w^3 + w^2 + 4]', '[2419, 2419, 3*w^3 - 8*w^2 - 14*w + 26]', '[2419, 2419, w^3 + 4*w^2 - 6*w - 4]', '[2419, 2419, 3*w^3 + 4*w^2 - 8*w - 16]', '[2419, 2419, 4*w^3 + 5*w^2 - 10*w - 4]', '[2419, 2419, 2*w^3 + 7*w^2 - 4*w - 21]', '[2419, 2419, -2*w^3 - 7*w^2 + 8*w + 14]', '[2419, 2419, -5*w^3 - 8*w^2 + 12*w + 14]', '[2420, 110, -5*w^3 - 7*w^2 + 19*w + 20]', '[2420, 110, 5*w^3 + w^2 - 17*w - 10]', '[2441, 2441, w^3 + 3*w^2 - 8*w - 9]', '[2441, 2441, 5*w^3 - 3*w^2 - 14*w + 6]', '[2441, 2441, -5*w^3 - 3*w^2 + 14*w + 6]', '[2441, 2441, -w^3 + 3*w^2 + 8*w - 9]', '[2459, 2459, 3*w^3 - 4*w^2 - 11*w + 8]', '[2459, 2459, -w^3 + 4*w^2 + w - 16]', '[2459, 2459, w^3 + 4*w^2 - w - 16]', '[2459, 2459, -3*w^3 - 4*w^2 + 11*w + 8]', '[2476, 1238, -7*w^3 - 5*w^2 + 23*w + 16]', '[2476, 1238, w^3 + 2*w^2 - 2*w - 13]', '[2476, 1238, 11*w^3 + 16*w^2 - 40*w - 53]', '[2476, 1238, 7*w^3 + 11*w^2 - 29*w - 34]', '[2495, 2495, 3*w^3 + 3*w^2 - 6*w - 10]', '[2495, 2495, 3*w^3 - 4*w^2 - 9*w + 5]', '[2495, 2495, 3*w^3 + 4*w^2 - 9*w - 5]', '[2495, 2495, 3*w^3 - 3*w^2 - 6*w + 10]', '[2500, 10, -5*w^3 - 5*w^2 + 15*w + 20]', '[2501, 2501, 3*w^3 + 8*w^2 - 11*w - 24]', '[2501, 2501, 2*w^3 - 7*w^2 - 6*w + 19]', '[2501, 2501, 6*w^3 + 11*w^2 - 16*w - 26]', '[2501, 2501, -2*w^3 - 8*w^2 + 3*w + 16]', '[2501, 2501, 7*w^2 + 2*w - 16]', '[2501, 2501, 4*w^3 - 10*w^2 - 15*w + 26]', '[2501, 2501, -3*w^3 - 10*w^2 + 5*w + 24]', '[2501, 2501, -2*w^3 + 11*w^2 + 12*w - 29]', '[2501, 2501, 2*w^3 + 11*w^2 - 12*w - 29]', '[2501, 2501, 3*w^3 - 10*w^2 - 5*w + 24]', '[2501, 2501, 4*w^3 + 10*w^2 - 15*w - 26]', '[2501, 2501, -7*w^2 + 2*w + 16]', '[2501, 2501, -2*w^3 + 8*w^2 + 3*w - 16]', '[2501, 2501, 6*w^3 - 11*w^2 - 16*w + 26]', '[2501, 2501, -2*w^3 - 7*w^2 + 6*w + 19]', '[2501, 2501, -3*w^3 + 8*w^2 + 11*w - 24]', '[2521, 2521, 3*w^3 - w^2 - 9*w + 11]', '[2521, 2521, -5*w^3 + 2*w^2 + 14*w - 8]', '[2521, 2521, 5*w^3 + 2*w^2 - 14*w - 8]', '[2521, 2521, -3*w^3 - w^2 + 9*w + 11]', '[2525, 505, -w^2 - 5*w]', '[2525, 505, 5*w^3 + w^2 - 15*w - 5]', '[2525, 505, -5*w^3 + w^2 + 15*w - 5]', '[2525, 505, -w^2 + 5*w]', '[2539, 2539, -4*w^3 + 4*w^2 + 14*w - 9]', '[2539, 2539, -2*w^3 - 4*w^2 + 2*w + 11]', '[2539, 2539, 2*w^3 - 4*w^2 - 2*w + 11]', '[2539, 2539, 4*w^3 + 4*w^2 - 14*w - 9]', '[2564, 1282, 5*w^3 + w^2 - 19*w - 8]', '[2564, 1282, 3*w^3 + 4*w^2 - 8*w - 17]', '[2564, 1282, -9*w^3 - 10*w^2 + 30*w + 37]', '[2564, 1282, -11*w^3 - 7*w^2 + 37*w + 32]', '[2579, 2579, -3*w^3 - 6*w^2 + 9*w + 11]', '[2579, 2579, 3*w^3 + 4*w^2 - 13*w - 8]', '[2579, 2579, -3*w^3 + 4*w^2 + 13*w - 8]', '[2579, 2579, 3*w^3 - 6*w^2 - 9*w + 11]', '[2605, 2605, -w^3 + 7*w^2 + 3*w - 15]', '[2605, 2605, w^3 - w^2 - 2*w - 5]', '[2605, 2605, w^3 + w^2 - 2*w + 5]', '[2605, 2605, -w^3 - 7*w^2 + 3*w + 15]', '[2621, 2621, 5*w^3 + 3*w^2 - 14*w - 9]', '[2621, 2621, -2*w^3 + 5*w - 8]', '[2621, 2621, 2*w^3 - 5*w - 8]', '[2621, 2621, -5*w^3 + 3*w^2 + 14*w - 9]', '[2624, 164, 2*w^3 + 4*w^2 - 8*w - 6]', '[2624, 164, 2*w^3 - 4*w^2 - 4*w + 14]', '[2624, 164, 2*w^3 + 4*w^2 - 4*w - 14]', '[2624, 164, -2*w^3 + 4*w^2 + 8*w - 6]', '[2636, 1318, -5*w^3 - w^2 + 13*w + 6]', '[2636, 1318, -w^3 - 8*w^2 + 6*w + 19]', '[2636, 1318, -3*w^3 + 10*w + 9]', '[2636, 1318, w^3 + 5*w^2 - 9*w - 14]', '[2641, 2641, -5*w^3 + 3*w^2 + 12*w - 8]', '[2641, 2641, 9*w^3 - 7*w^2 - 30*w + 27]', '[2641, 2641, 5*w^3 - 15*w + 11]', '[2641, 2641, 3*w^3 - 3*w^2 - 14*w + 7]', '[2641, 2641, w^3 + 2*w^2 - w + 3]', '[2641, 2641, -5*w^3 - 10*w^2 + 13*w + 23]', '[2641, 2641, -2*w^3 + 10*w^2 + 11*w - 27]', '[2641, 2641, -3*w^3 + 7*w^2 - 8]', '[2641, 2641, 3*w^3 + 7*w^2 - 8]', '[2641, 2641, -3*w^3 + 8*w^2 + 9*w - 19]', '[2641, 2641, 5*w^3 - 10*w^2 - 13*w + 23]', '[2641, 2641, -w^3 + 2*w^2 + w + 3]', '[2641, 2641, -5*w^3 + 7*w^2 + 22*w - 26]', '[2641, 2641, 2*w^3 - 2*w^2 - 7*w + 13]', '[2641, 2641, -5*w^3 + w^2 + 14*w - 6]', '[2641, 2641, 5*w^3 + 3*w^2 - 12*w - 8]', '[2644, 1322, 7*w^2 - 5*w - 19]', '[2644, 1322, w^3 + 6*w^2 - 6*w - 21]', '[2644, 1322, 7*w^3 + 12*w^2 - 28*w - 41]', '[2644, 1322, 2*w^3 + 5*w^2 - 11*w - 19]', '[2659, 2659, -5*w^3 - w^2 + 16*w - 3]', '[2659, 2659, -4*w^3 - 5*w^2 + 14*w + 12]', '[2659, 2659, 4*w^3 - 5*w^2 - 14*w + 12]', '[2659, 2659, 5*w^3 - w^2 - 16*w - 3]', '[2699, 2699, 2*w^3 + 5*w^2 - 4*w - 16]', '[2699, 2699, -4*w^3 + w^2 + 14*w + 2]', '[2699, 2699, 4*w^3 + w^2 - 14*w + 2]', '[2699, 2699, -2*w^3 + 5*w^2 + 4*w - 16]', '[2705, 2705, -w^3 + 7*w^2 + 2*w - 15]', '[2705, 2705, w^3 + w^2 - 3*w + 5]', '[2705, 2705, w^3 - w^2 - 3*w - 5]', '[2705, 2705, w^3 + 7*w^2 - 2*w - 15]', '[2719, 2719, 3*w^3 - 3*w^2 - 5*w + 9]', '[2719, 2719, -4*w^3 + 3*w^2 + 15*w - 6]', '[2719, 2719, w^3 + 6*w^2 - 5*w - 9]', '[2719, 2719, -3*w^3 - 3*w^2 + 5*w + 9]', '[2741, 2741, -2*w^3 + 11*w + 4]', '[2741, 2741, -5*w^3 + 13*w + 4]', '[2741, 2741, 5*w^3 - 13*w + 4]', '[2741, 2741, 2*w^3 - 11*w + 4]', '[2780, 1390, -6*w^3 + 5*w^2 + 13*w - 5]', '[2780, 1390, w^2 - w + 5]', '[2780, 1390, w^3 + 7*w^2 - 3*w - 20]', '[2780, 1390, -2*w^3 - 3*w^2 + 13*w + 15]', '[2801, 2801, -w^3 + 8*w^2 + w - 22]', '[2801, 2801, 2*w^3 + 8*w^2 - 7*w - 18]', '[2801, 2801, -2*w^3 + 8*w^2 + 7*w - 18]', '[2801, 2801, w^3 + 8*w^2 - w - 22]', '[2804, 1402, -8*w^3 - 11*w^2 + 27*w + 39]', '[2804, 1402, -5*w^2 + 3*w + 17]', '[2804, 1402, -6*w^3 - 11*w^2 + 25*w + 37]', '[2804, 1402, -6*w^3 - 7*w^2 + 19*w + 29]', '[2819, 2819, -w^3 - 4*w^2 - 2*w + 12]', '[2819, 2819, 5*w^3 + 4*w^2 - 16*w - 8]', '[2819, 2819, 5*w^3 - 4*w^2 - 16*w + 8]', '[2819, 2819, w^3 - 4*w^2 + 2*w + 12]', '[2861, 2861, 2*w^3 + w^2 - 8*w - 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2]', '[521, 521, -3*w^3 + w^2 + 8*w - 3]', '[541, 541, 3*w^3 - w^2 - 8*w + 2]', '[541, 541, -w^3 + w^2 + 6*w - 3]', '[541, 541, w^3 + w^2 - 6*w - 3]', '[541, 541, 3*w^3 + w^2 - 8*w - 2]', '[599, 599, -2*w^3 + 2*w^2 + 4*w - 7]', '[599, 599, 2*w^3 - 2*w^2 - 8*w + 3]', '[599, 599, -2*w^3 - 2*w^2 + 8*w + 3]', '[599, 599, 2*w^3 + 2*w^2 - 4*w - 7]', '[601, 601, 4*w^3 + 3*w^2 - 12*w - 8]', '[601, 601, -3*w^2 + 4*w + 7]', '[601, 601, -3*w^2 - 4*w + 7]', '[601, 601, -4*w^3 + 3*w^2 + 12*w - 8]', '[619, 619, -2*w^3 + 3*w^2 + 9*w - 6]', '[619, 619, -w^3 + 3*w^2 + 6*w - 12]', '[619, 619, w^3 + 3*w^2 - 6*w - 12]', '[619, 619, -3*w^3 + 3*w^2 + 8*w - 3]', '[641, 641, 4*w^3 - 12*w + 3]', '[641, 641, -w^3 + w^2 + 4*w - 8]', '[641, 641, -w^3 - w^2 + 4*w + 8]', '[641, 641, -4*w^3 + 12*w + 3]', '[659, 659, -w^3 + 4*w^2 + 4*w - 6]', '[659, 659, 2*w^3 - 2*w^2 - 3*w + 6]', '[659, 659, -2*w^3 - 2*w^2 + 3*w + 6]', '[659, 659, w^3 + 4*w^2 - 4*w - 6]', '[661, 661, -w^3 + 5*w^2 + 2*w - 11]', '[661, 661, -w^3 + 5*w^2 + 4*w - 14]', '[661, 661, w^3 + 5*w^2 - 4*w - 14]', '[661, 661, w^3 + 5*w^2 - 2*w - 11]', '[701, 701, -2*w^2 + w + 11]', '[701, 701, w^3 - 5*w^2 - 4*w + 13]', '[701, 701, -w^3 - 5*w^2 + 4*w + 13]', '[701, 701, -2*w^2 - w + 11]', '[719, 719, -2*w^3 + 4*w^2 + 8*w - 9]', '[719, 719, -2*w^3 + 4*w^2 + 4*w - 11]', '[719, 719, 2*w^3 + 4*w^2 - 4*w - 11]', '[719, 719, 2*w^3 + 4*w^2 - 8*w - 9]', '[739, 739, 2*w^3 + 3*w^2 - 8*w - 6]', '[739, 739, 3*w^2 - 2*w - 12]', '[739, 739, 3*w^2 + 2*w - 12]', '[739, 739, -2*w^3 + 3*w^2 + 8*w - 6]', '[761, 761, -3*w^3 + 2*w^2 + 10*w - 12]', '[761, 761, -2*w^3 - 6*w^2 + 4*w + 13]', '[761, 761, 2*w^3 - 6*w^2 - 4*w + 13]', '[761, 761, w^3 - w^2 - 7*w - 1]', '[821, 821, -w^3 - 2*w^2 + 3*w + 11]', '[821, 821, -w^3 + 5*w^2 + 3*w - 13]', '[821, 821, w^3 + 5*w^2 - 3*w - 13]', '[821, 821, w^3 - 2*w^2 - 3*w + 11]', '[839, 839, 3*w^3 + 3*w^2 - 11*w - 7]', '[839, 839, 2*w^3 - 3*w^2 - 3*w + 8]', '[839, 839, -2*w^3 - 3*w^2 + 3*w + 8]', '[839, 839, -3*w^3 + 3*w^2 + 11*w - 7]', '[841, 29, 5*w^2 - 14]', '[841, 29, 5*w^2 - 11]', '[859, 859, 2*w^3 + 2*w^2 - 9*w - 2]', '[859, 859, 3*w^3 + 2*w^2 - 7*w - 8]', '[859, 859, -3*w^3 + 2*w^2 + 7*w - 8]', '[859, 859, -2*w^3 + 2*w^2 + 9*w - 2]', '[881, 881, 4*w^3 + 2*w^2 - 12*w - 7]', '[881, 881, 4*w^3 + w^2 - 12*w - 1]', '[881, 881, -4*w^3 + w^2 + 12*w - 1]', '[881, 881, 4*w^3 - 2*w^2 - 12*w + 7]', '[919, 919, 2*w^3 + 3*w^2 - 5*w - 12]', '[919, 919, 3*w^3 - 3*w^2 - 10*w + 6]', '[919, 919, -3*w^3 - 3*w^2 + 10*w + 6]', '[919, 919, -2*w^3 + 3*w^2 + 5*w - 12]', '[941, 941, w^3 - 2*w - 6]', '[941, 941, w^3 - 4*w - 6]', '[941, 941, -w^3 + 4*w - 6]', '[941, 941, -w^3 + 2*w - 6]', '[961, 31, -2*w^2 + 11]', '[961, 31, 5*w^2 - 13]']}
67. label: 4.4.2048.1
    {'degree': 4, 'discriminant': 2048, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[4, 2, w^2 - 2]', '[8, 2, w^3 - 2*w]', '[16, 2, 2]', '[17, 17, -w^2 - w + 3]', '[17, 17, -w^3 - w^2 + 3*w + 1]', '[17, 17, w^3 - w^2 - 3*w + 1]', '[17, 17, w^2 - w - 3]', '[31, 31, w^3 + w^2 - 2*w - 3]', '[31, 31, -w^3 + w^2 + 4*w - 1]', '[31, 31, w^3 + w^2 - 4*w - 1]', '[31, 31, -w^3 + w^2 + 2*w - 3]', '[32, 4, 2*w]', '[34, 34, w^2 - w - 4]', '[34, 34, w^3 - w^2 - 3*w]', '[34, 34, -w^3 - w^2 + 3*w]', '[34, 34, -w^2 - w + 4]', '[47, 47, -2*w^3 + w^2 + 5*w - 1]', '[47, 47, 2*w^3 + w^2 - 6*w - 1]', '[47, 47, -2*w^3 + w^2 + 6*w - 1]', '[47, 47, 2*w^3 + w^2 - 5*w - 1]', '[49, 7, w^2 + 1]', '[49, 7, -2*w^2 + 3]', '[62, 62, w^3 + w^2 - 5*w - 2]', '[62, 62, -2*w^3 - w^2 + 5*w + 2]', '[62, 62, 2*w^3 - w^2 - 5*w + 2]', '[62, 62, w^3 - w^2 - 5*w + 2]', '[64, 4, 2*w^2 - 4]', '[68, 34, -w^3 + w^2 + 2*w - 4]', '[68, 34, w^3 - w^2 - 4*w]', '[68, 34, -w^3 - w^2 + 4*w]', '[68, 34, -w^3 - w^2 + 2*w + 4]', '[79, 79, -w^3 - w^2 + 4*w - 1]', '[79, 79, -w^3 + w^2 + 2*w - 5]', '[79, 79, w^3 + w^2 - 2*w - 5]', '[79, 79, w^3 - w^2 - 4*w - 1]', '[81, 3, -3]', '[94, 94, w^3 + 2*w^2 - w - 4]', '[94, 94, w^3 + 3*w^2 - w - 4]', '[94, 94, w^3 - 3*w^2 - w + 4]', '[94, 94, w^3 - 2*w^2 - w + 4]', '[97, 97, -2*w^3 + 8*w + 1]', '[97, 97, -2*w^3 + 4*w - 1]', '[97, 97, -2*w^3 + 4*w + 1]', '[97, 97, 2*w^3 - 8*w + 1]', '[98, 14, w^3 - 5*w]', '[98, 14, 2*w^3 - 5*w]', '[113, 113, w^3 - w^2 - w + 3]', '[113, 113, 2*w^3 - w^2 - 7*w + 1]', '[113, 113, 2*w^3 + w^2 - 7*w - 1]', '[113, 113, w^3 + w^2 - w - 3]', '[124, 62, -w^2 + 2*w + 4]', '[124, 62, 2*w^3 + w^2 - 6*w]', '[124, 62, -2*w^3 + w^2 + 6*w]', '[124, 62, -w^2 - 2*w + 4]', '[127, 127, 2*w^3 + 2*w^2 - 6*w - 3]', '[127, 127, 2*w^2 - 2*w - 5]', '[127, 127, 2*w^2 + 2*w - 5]', '[127, 127, -2*w^3 + 2*w^2 + 6*w - 3]', '[128, 4, 2*w^3 - 4*w]', '[136, 34, w^3 - 2*w^2 - 4*w + 2]', '[136, 34, -w^3 - 2*w^2 + 2*w + 6]', '[136, 34, -w^3 + 2*w^2 + 2*w - 6]', '[136, 34, -w^3 - 2*w^2 + 4*w + 2]', '[158, 158, w^3 + 2*w^2 - 5*w - 2]', '[158, 158, -w^3 - w - 2]', '[158, 158, -w^3 - w + 2]', '[158, 158, w^3 - 2*w^2 - 5*w + 2]', '[162, 6, -3*w]', '[188, 94, w^3 + w^2 - 6*w]', '[188, 94, -2*w^3 + w^2 + 8*w]', '[188, 94, 2*w^3 + w^2 - 8*w]', '[188, 94, -w^3 + w^2 + 6*w]', '[191, 191, 2*w^3 - 9*w - 3]', '[191, 191, -w^3 + 3*w^2 + 3*w - 5]', '[191, 191, -w^3 - 3*w^2 + 3*w + 5]', '[191, 191, -2*w^3 + 9*w - 3]', '[193, 193, -4*w^3 - w^2 + 12*w + 1]', '[193, 193, 3*w^3 - w^2 - 11*w + 1]', '[193, 193, -3*w^3 - w^2 + 11*w + 1]', '[193, 193, -w^3 + 2*w^2 + 5*w - 7]', '[194, 194, w + 4]', '[194, 194, w^3 - 3*w - 4]', '[194, 194, -w^3 + 3*w - 4]', '[194, 194, w - 4]', '[196, 14, -w^2 - 2]', '[196, 14, 3*w^2 - 4]', '[223, 223, 3*w^3 - w^2 - 10*w + 1]', '[223, 223, w^3 - 5*w - 5]', '[223, 223, -w^3 + 5*w - 5]', '[223, 223, -3*w^3 - w^2 + 10*w + 1]', '[226, 226, 2*w^3 + w^2 - 7*w]', '[226, 226, -w^3 + w^2 + w - 4]', '[226, 226, w^3 + w^2 - w - 4]', '[226, 226, -2*w^3 + w^2 + 7*w]', '[239, 239, -2*w^2 + w - 1]', '[239, 239, -w^3 - 2*w^2 + 3*w + 9]', '[239, 239, w^3 - 2*w^2 - 3*w + 9]', '[239, 239, -2*w^2 - w - 1]', '[241, 241, -w^3 + w^2 + 2*w - 7]', '[241, 241, -w^3 - 2*w^2 + w + 5]', '[241, 241, w^3 - 2*w^2 - w + 5]', '[241, 241, w^3 + w^2 - 2*w - 7]', '[248, 62, -w^3 + 6*w - 2]', '[248, 62, -3*w^3 + 8*w + 2]', '[248, 62, -3*w^3 + 8*w - 2]', '[248, 62, w^3 - 6*w - 2]', '[254, 254, 2*w^3 + 2*w^2 - 3*w - 4]', '[254, 254, 2*w^3 - 2*w^2 - 5*w]', '[254, 254, 2*w^3 + 2*w^2 - 5*w]', '[254, 254, 2*w^3 - 2*w^2 - 3*w + 4]', '[256, 4, 4]', '[257, 257, -w^3 - 3*w^2 + w + 7]', '[257, 257, -2*w^2 + 3*w + 5]', '[257, 257, -2*w^2 - 3*w + 5]', '[257, 257, w^3 - 3*w^2 - w + 7]', '[271, 271, 3*w^3 - 10*w + 3]', '[271, 271, w^3 + 3]', '[271, 271, -w^3 + 3]', '[271, 271, -3*w^3 + 10*w + 3]', '[272, 34, -2*w^2 - 2*w + 6]', '[272, 34, -2*w^3 - 2*w^2 + 6*w + 2]', '[272, 34, 2*w^3 - 2*w^2 - 6*w + 2]', '[272, 34, 2*w^2 - 2*w - 6]', '[289, 17, 3*w^2 - 5]', '[289, 17, -w^3 + w^2 + 6*w - 1]', '[289, 17, -w^3 - w^2 + 6*w + 1]', '[289, 17, 3*w^2 - 7]', '[289, 17, 3*w^3 + w^2 - 8*w - 3]', '[289, 17, 3*w^3 - w^2 - 8*w + 3]', '[289, 289, 2*w^3 - 2*w^2 - 5*w + 7]', '[289, 289, -w^3 - 2*w^2 + 5*w + 1]', '[289, 289, w^3 - 2*w^2 - 5*w + 1]', '[289, 289, 2*w^3 + 2*w^2 - 5*w - 7]', '[316, 158, 2*w^3 - 3*w^2 - 6*w + 4]', '[316, 158, -3*w^2 - 2*w + 8]', '[316, 158, -3*w^2 + 2*w + 8]', '[316, 158, -2*w^3 - 3*w^2 + 6*w + 4]', '[324, 6, -3*w^2 + 6]', '[337, 337, -w^3 + w^2 + w - 5]', '[337, 337, -2*w^3 + w^2 + 7*w + 1]', '[337, 337, 2*w^3 + w^2 - 7*w + 1]', '[337, 337, w^3 + w^2 - w - 5]', '[353, 353, -w^3 + 6*w - 1]', '[353, 353, 3*w^3 - 8*w + 1]', '[353, 353, 3*w^3 - 8*w - 1]', '[353, 353, w^3 - 6*w - 1]', '[367, 367, -2*w^3 + w^2 + 8*w + 1]', '[367, 367, -2*w^3 + w^2 + 4*w - 5]', '[367, 367, 2*w^3 + w^2 - 4*w - 5]', '[367, 367, 2*w^3 + w^2 - 8*w + 1]', '[376, 94, w^3 - 2*w^2 - 2]', '[376, 94, w^3 + 4]', '[376, 94, w^3 - 4]', '[376, 94, w^3 + 2*w^2 + 2]', '[382, 382, -2*w^3 + w^2 + 9*w - 4]', '[382, 382, w^2 - 3*w + 4]', '[382, 382, -w^2 - 3*w - 4]', '[382, 382, 2*w^3 + w^2 - 9*w - 4]', '[383, 383, -w^3 - w^2 + 3*w - 3]', '[383, 383, w^2 - w - 7]', '[383, 383, w^2 + w - 7]', '[383, 383, w^3 - w^2 - 3*w - 3]', '[386, 386, -w^3 - w^2 + w + 6]', '[386, 386, -w^3 + 4*w^2 + w - 8]', '[386, 386, w^3 + 4*w^2 - w - 8]', '[386, 386, -w^3 + w^2 + w - 6]', '[388, 194, 4*w^3 + w^2 - 12*w - 2]', '[388, 194, -w^2 - 4*w + 2]', '[388, 194, w^2 - 4*w - 2]', '[388, 194, -4*w^3 + w^2 + 12*w - 2]', '[392, 14, -w^3 + 6*w]', '[392, 14, -3*w^3 + 8*w]', '[401, 401, 3*w^3 - w^2 - 9*w - 1]', '[401, 401, w^3 - w^2 - 4*w + 7]', '[401, 401, w^3 + w^2 - 4*w - 7]', '[401, 401, -3*w^3 - w^2 + 9*w - 1]', '[431, 431, 2*w^2 + 2*w - 7]', '[431, 431, 2*w^3 - 2*w^2 - 6*w + 1]', '[431, 431, -2*w^3 - 2*w^2 + 6*w + 1]', '[431, 431, 2*w^2 - 2*w - 7]', '[433, 433, w^3 - 2*w - 5]', '[433, 433, w^3 - 4*w - 5]', '[433, 433, -w^3 + 4*w - 5]', '[433, 433, -w^3 + 2*w - 5]', '[446, 446, -w^3 + 2*w^2 + w - 6]', '[446, 446, w^2 - 5*w + 2]', '[446, 446, -w^2 - 5*w - 2]', '[446, 446, -w^3 - 2*w^2 + w + 6]', '[449, 449, 3*w^3 + 3*w^2 - 9*w - 5]', '[449, 449, w^2 + 4*w - 1]', '[449, 449, -w^2 + 4*w + 1]', '[449, 449, -3*w^3 + 3*w^2 + 9*w - 5]', '[452, 226, w^3 + w^2 - 4]', '[452, 226, -3*w^3 - w^2 + 10*w]', '[452, 226, -3*w^3 + w^2 + 10*w]', '[452, 226, w^3 - w^2 + 4]', '[463, 463, -w^3 + w^2 + 3*w - 7]', '[463, 463, -w^2 - w - 3]', '[463, 463, -w^2 + w - 3]', '[463, 463, w^3 + w^2 - 3*w - 7]', '[478, 478, -2*w^3 + w^2 - w]', '[478, 478, -2*w^3 + w^2 + 9*w - 2]', '[478, 478, -2*w^3 - w^2 + 9*w + 2]', '[478, 478, -2*w^3 - w^2 - w]', '[479, 479, 2*w^3 - w^2 - 9*w + 3]', '[479, 479, 3*w^3 - w^2 - 7*w + 1]', '[479, 479, -3*w^3 - w^2 + 7*w + 1]', '[479, 479, -2*w^3 - w^2 + 9*w + 3]', '[482, 482, w^3 - 2*w^2 - 7*w + 2]', '[482, 482, 3*w^3 + w^2 - 11*w]', '[482, 482, 3*w^3 - w^2 - 11*w]', '[482, 482, w^3 + 2*w^2 - 7*w - 2]', '[496, 62, 2*w^3 + 2*w^2 - 4*w - 6]', '[496, 62, -2*w^3 + 2*w^2 + 8*w - 2]', '[496, 62, 2*w^3 + 2*w^2 - 8*w - 2]', '[496, 62, -2*w^3 + 2*w^2 + 4*w - 6]', '[508, 254, -2*w^3 + w^2 + 8*w + 2]', '[508, 254, -2*w^3 - w^2 + 4*w + 6]', '[508, 254, 2*w^3 - w^2 - 4*w + 6]', '[508, 254, 2*w^3 + w^2 - 8*w + 2]', '[512, 8, 4*w]', '[514, 514, -3*w^3 - 3*w^2 + 7*w + 2]', '[514, 514, -2*w^3 + 3*w^2 + 5*w]', '[514, 514, -2*w^3 - 3*w^2 + 5*w]', '[514, 514, -3*w^3 + 3*w^2 + 7*w - 2]', '[527, 527, -w - 5]', '[527, 527, 3*w^3 + 2*w^2 - 10*w - 3]', '[527, 527, -w^3 - 4*w^2 + w + 7]', '[527, 527, w^3 - 2*w^2 + 5]', '[527, 527, w^3 - 3*w - 5]', '[527, 527, 2*w^3 - 9*w + 1]', '[527, 527, 3*w^3 - 7*w + 1]', '[527, 527, -2*w^3 + 4*w^2 + 7*w - 9]', '[527, 527, -2*w^3 - 4*w^2 + 7*w + 9]', '[527, 527, -3*w^3 + 7*w + 1]', '[527, 527, 2*w^3 - 9*w - 1]', '[527, 527, -w^3 + 3*w - 5]', '[527, 527, w^3 + 2*w^2 - 5]', '[527, 527, w^3 - 4*w^2 - w + 7]', '[527, 527, 3*w^3 - 2*w^2 - 10*w + 3]', '[527, 527, -w + 5]', '[529, 23, -w^2 - 3]', '[529, 23, w^2 - 7]', '[542, 542, 2*w^2 + 3*w - 6]', '[542, 542, 3*w^3 + 2*w^2 - 9*w - 2]', '[542, 542, 3*w^3 - 2*w^2 - 9*w + 2]', '[542, 542, -2*w^2 + 3*w + 6]', '[544, 68, 2*w^2 - 2*w - 8]', '[544, 68, 2*w^3 - 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w^2 - 2*w - 5]', '[1921, 1921, -w^3 - 5*w^2 + 4*w + 9]', '[1921, 1921, 6*w^3 - w^2 - 18*w + 5]', '[1921, 1921, -6*w^3 - w^2 + 18*w + 5]', '[1921, 1921, w^3 - 5*w^2 - 4*w + 9]', '[1921, 1921, -w^3 - w^2 + 2*w - 5]', '[1921, 1921, 4*w^3 - w^2 - 16*w + 3]', '[1921, 1921, w^3 - w^2 - 4*w + 9]', '[1921, 1921, -6*w^3 + 2*w^2 + 18*w - 5]', '[1921, 1921, w^3 + 5*w^2 - 2*w - 11]', '[1921, 1921, 4*w^3 - 16*w + 1]', '[1922, 62, 3*w^3 - 13*w]', '[1922, 62, w^3 + 3*w^2 - 7*w - 10]', '[1922, 62, -w^3 + 3*w^2 + 7*w - 10]', '[1922, 62, 4*w^3 - 9*w]', '[1922, 62, -4*w^3 + 3*w^2 + 11*w - 2]', '[1922, 62, -4*w^3 - 3*w^2 + 11*w + 2]', '[1922, 1922, 3*w^3 + 3*w^2 - 9*w - 2]', '[1922, 1922, 3*w^2 - 3*w - 10]', '[1922, 1922, -3*w^2 - 3*w + 10]', '[1922, 1922, -3*w^3 + 3*w^2 + 9*w - 2]', '[1928, 482, -5*w^3 - 2*w^2 + 12*w]', '[1928, 482, -5*w^3 - 2*w^2 + 16*w + 2]', '[1928, 482, -5*w^3 + 2*w^2 + 16*w - 2]', '[1928, 482, -5*w^3 + 2*w^2 + 12*w]', '[1951, 1951, -w^3 - w^2 + 3*w - 5]', '[1951, 1951, w^2 - w - 9]', '[1951, 1951, w^2 + w - 9]', '[1951, 1951, w^3 - w^2 - 3*w - 5]', '[1954, 1954, 5*w^3 - 3*w^2 - 15*w + 4]', '[1954, 1954, 3*w^3 + 5*w^2 - 11*w - 8]', '[1954, 1954, 3*w^3 - 5*w^2 - 11*w + 8]', '[1954, 1954, 3*w^3 - 9*w - 8]', '[1982, 1982, -5*w^2 + w + 8]', '[1982, 1982, 3*w^2 - w + 2]', '[1982, 1982, -3*w^2 - w - 2]', '[1982, 1982, 5*w^2 + w - 8]', '[1984, 124, -2*w^2 + 4*w + 8]', '[1984, 124, 4*w^3 + 2*w^2 - 12*w]', '[1984, 124, -4*w^3 + 2*w^2 + 12*w]', '[1984, 124, -2*w^2 - 4*w + 8]', '[1999, 1999, -3*w^3 + 3*w^2 + 10*w - 3]', '[1999, 1999, -w^3 + 3*w^2 - 9]', '[1999, 1999, w^3 + 3*w^2 - 9]', '[1999, 1999, 3*w^3 + 3*w^2 - 10*w - 3]', '[2017, 2017, -w^3 + 4*w - 7]', '[2017, 2017, -w^3 + 2*w - 7]', '[2017, 2017, w^3 - 2*w - 7]', '[2017, 2017, w^3 - 4*w - 7]', '[2018, 2018, 3*w^3 + 5*w^2 - 7*w - 4]', '[2018, 2018, 3*w^3 - w^2 - 5*w + 6]', '[2018, 2018, 3*w^3 + w^2 - 5*w - 6]', '[2018, 2018, 3*w^3 - 5*w^2 - 7*w + 4]', '[2032, 254, 4*w^3 + 4*w^2 - 12*w - 6]', '[2032, 254, 4*w^2 - 4*w - 10]', '[2032, 254, 4*w^2 + 4*w - 10]', '[2032, 254, -4*w^3 + 4*w^2 + 12*w - 6]', '[2048, 8, 4*w^3 - 8*w]', '[2056, 514, w^3 - 4*w^2 - 8*w + 2]', '[2056, 514, w^3 + 6*w^2 - 6*w - 6]', '[2056, 514, w^3 - 6*w^2 - 6*w + 6]', '[2056, 514, w^3 + 4*w^2 - 8*w - 2]', '[2063, 2063, -w^3 + w^2 + 3*w - 9]', '[2063, 2063, -w^2 - w - 5]', '[2063, 2063, -w^2 + w - 5]', '[2063, 2063, w^3 + w^2 - 3*w - 9]', '[2078, 2078, -w^3 + 9*w^2 + 3*w - 8]', '[2078, 2078, -w^3 + w^2 + w - 10]', '[2078, 2078, -w^3 - w^2 + w + 10]', '[2078, 2078, -w^3 - 9*w^2 + 3*w + 8]', '[2081, 2081, -w^3 + 5*w^2 + 2*w - 9]', '[2081, 2081, w^3 + 5*w^2 - 4*w - 11]', '[2081, 2081, -w^3 + 5*w^2 + 4*w - 11]', '[2081, 2081, w^3 + 5*w^2 - 2*w - 9]', '[2108, 1054, -w^3 - 5*w^2 + 2*w + 10]', '[2108, 1054, -4*w^3 + w^2 + 14*w + 2]', '[2108, 1054, -w^3 - w^2 - 6]', '[2108, 1054, 2*w^3 + w^2 - 2*w - 6]', '[2108, 1054, -w^3 - 5*w^2 + 4*w + 10]', '[2108, 1054, -5*w^3 + w^2 + 14*w - 2]', '[2108, 1054, -w^3 + w^2 + 8*w - 2]', '[2108, 1054, 3*w^3 - w^2 - 10*w + 10]', '[2108, 1054, 3*w^3 + w^2 - 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w - 11]', '[2159, 2159, w^3 - 5*w^2 - 3*w + 9]', '[2159, 2159, -4*w^3 - w^2 + 11*w + 11]', '[2159, 2159, -5*w^3 + w^2 + 13*w - 5]', '[2159, 2159, 2*w^3 - w^2 - 11*w - 1]', '[2159, 2159, w^3 - 3*w^2 - 9*w + 3]', '[2159, 2159, -6*w^3 + 3*w^2 + 17*w - 9]', '[2159, 2159, -6*w^3 - 3*w^2 + 17*w + 9]', '[2159, 2159, -w^3 - 3*w^2 + 9*w + 3]', '[2159, 2159, 2*w^3 + w^2 - 11*w + 1]', '[2159, 2159, 5*w^3 + w^2 - 13*w - 5]', '[2159, 2159, -4*w^3 + w^2 + 11*w - 11]', '[2159, 2159, -w^3 - 5*w^2 + 3*w + 9]', '[2159, 2159, -5*w^2 - w + 11]', '[2159, 2159, -w^3 - w^2 + 7*w - 7]', '[2161, 2161, w^3 + 2*w^2 + w - 7]', '[2161, 2161, 4*w^3 + 2*w^2 - 13*w - 1]', '[2161, 2161, -4*w^3 + 2*w^2 + 13*w - 1]', '[2161, 2161, -w^3 + 2*w^2 - w - 7]', '[2168, 542, 3*w^3 - 2*w^2 - 6*w + 8]', '[2168, 542, -3*w^3 + 2*w^2 + 12*w]', '[2168, 542, -3*w^3 - 2*w^2 + 12*w]', '[2168, 542, 3*w^3 + 2*w^2 - 6*w - 8]', '[2174, 2174, -2*w^3 - 2*w^2 + 3*w + 8]', '[2174, 2174, 3*w^3 - 2*w^2 - 11*w]', '[2174, 2174, -3*w^3 - 2*w^2 + 11*w]', '[2174, 2174, -2*w^3 + 2*w^2 + 3*w - 8]', '[2176, 68, 2*w^3 - 4*w^2 - 8*w + 4]', '[2176, 68, -2*w^3 - 4*w^2 + 4*w + 12]', '[2176, 68, -2*w^3 + 4*w^2 + 4*w - 12]', '[2176, 68, -2*w^3 - 4*w^2 + 8*w + 4]', '[2206, 2206, w^3 + 4*w^2 - 7*w - 2]', '[2206, 2206, -w^3 + 2*w^2 - 3*w - 6]', '[2206, 2206, -w^3 - 2*w^2 - 3*w + 6]', '[2206, 2206, w^3 - 4*w^2 - 7*w + 2]', '[2207, 2207, -w - 7]', '[2207, 2207, w^3 - 3*w - 7]', '[2207, 2207, -w^3 + 3*w - 7]', '[2207, 2207, w - 7]', '[2209, 47, -w^2 - 5]', '[2209, 47, -2*w^3 + w^2 + w - 5]', '[2209, 47, -2*w^3 - w^2 + w + 5]', '[2209, 47, w^2 - 9]', '[2209, 47, -5*w^3 - w^2 + 17*w - 1]', '[2209, 47, 5*w^3 - w^2 - 17*w - 1]', '[2209, 2209, w^3 - 8*w - 1]', '[2209, 2209, 5*w^3 - 14*w + 1]', '[2209, 2209, -5*w^3 + 14*w + 1]', '[2209, 2209, -w^3 + 8*w - 1]', '[2239, 2239, -w^3 + 5*w^2 + 3*w - 11]', '[2239, 2239, 5*w^2 - w - 9]', '[2239, 2239, 5*w^2 + w - 9]', '[2239, 2239, w^3 + 5*w^2 - 3*w - 11]', '[2273, 2273, -4*w^2 + 7*w + 9]', '[2273, 2273, -5*w^3 + 2*w^2 + 8*w + 1]', '[2273, 2273, -5*w^3 - 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4*w^2 - 12*w + 6]', '[2312, 34, -3*w^3 - 4*w^2 + 12*w + 6]', '[2312, 34, -w^3 + 8*w]', '[2312, 34, 3*w^3 + 4*w^2 - 6*w - 10]', '[2312, 34, 3*w^3 - 4*w^2 - 6*w + 10]', '[2312, 578, 3*w^3 + 2*w^2 - 10*w + 2]', '[2312, 578, -w^3 - 2*w^2 + 10]', '[2312, 578, -w^3 + 2*w^2 - 10]', '[2312, 578, -3*w^3 + 2*w^2 + 10*w + 2]', '[2351, 2351, 5*w^3 + 2*w^2 - 13*w - 3]', '[2351, 2351, -2*w^3 + 2*w^2 + 11*w - 5]', '[2351, 2351, 2*w^3 + 2*w^2 - 11*w - 5]', '[2351, 2351, -5*w^3 + 2*w^2 + 13*w - 3]', '[2372, 1186, w^3 - 5*w^2 - 6*w + 4]', '[2372, 1186, -2*w^3 - w^2 + 8*w + 10]', '[2372, 1186, 2*w^3 - w^2 - 8*w + 10]', '[2372, 1186, -w^3 - 5*w^2 + 6*w + 4]', '[2383, 2383, 2*w^3 + 2*w^2 - 11*w - 3]', '[2383, 2383, -5*w^3 - 2*w^2 + 13*w + 5]', '[2383, 2383, 5*w^3 - 2*w^2 - 13*w + 5]', '[2383, 2383, -2*w^3 + 2*w^2 + 11*w - 3]', '[2399, 2399, 5*w^3 - 13*w - 3]', '[2399, 2399, -2*w^3 + 11*w + 3]', '[2399, 2399, 2*w^3 - 11*w + 3]', '[2399, 2399, -5*w^3 + 13*w - 3]', '[2401, 7, 7]', '[2401, 49, 5*w^2 - 9]', '[2401, 49, 4*w^2 + 1]', '[2402, 2402, 4*w^3 + w^2 - 7*w - 6]', '[2402, 2402, -6*w^3 + 2*w^2 + 17*w - 8]', '[2402, 2402, 6*w^3 + 2*w^2 - 17*w - 8]', '[2402, 2402, 4*w^3 - w^2 - 7*w + 6]', '[2417, 2417, -3*w^3 - 2*w^2 + 3*w + 5]', '[2417, 2417, -3*w^3 + 3*w^2 + 9*w - 1]', '[2417, 2417, -3*w^3 - 3*w^2 + 9*w + 1]', '[2417, 2417, -3*w^3 - 6*w^2 + 8*w + 11]', '[2428, 1214, 5*w^3 + w^2 - 12*w + 2]', '[2428, 1214, -3*w^3 - w^2 + 14*w + 6]', '[2428, 1214, 3*w^3 - w^2 - 14*w + 6]', '[2428, 1214, -2*w^3 + 3*w^2 + 4*w - 12]', '[2434, 2434, 4*w^3 - 17*w + 4]', '[2434, 2434, -4*w^3 + 5*w^2 + 3*w - 6]', '[2434, 2434, -4*w^3 - 5*w^2 + 3*w + 6]', '[2434, 2434, -4*w^3 + 17*w + 4]', '[2447, 2447, w^3 + 3*w^2 - 9*w - 5]', '[2447, 2447, -6*w^3 + 3*w^2 + 17*w - 7]', '[2447, 2447, 6*w^3 + 3*w^2 - 17*w - 7]', '[2447, 2447, -w^3 + 3*w^2 + 9*w - 5]', '[2449, 2449, 2*w^3 - 6*w^2 - 4*w + 13]', '[2449, 2449, 4*w^3 - 4*w^2 - 18*w + 7]', '[2449, 2449, -6*w + 1]', '[2449, 2449, -6*w^3 + 18*w - 1]', '[2449, 2449, 2*w^3 - 6*w^2 - 8*w + 11]', '[2449, 2449, 4*w^3 - 2*w^2 - 12*w + 13]', '[2449, 2449, -6*w^3 - 4*w^2 + 14*w + 9]', '[2449, 2449, -2*w^2 + 4*w - 5]', '[2449, 2449, -2*w^2 - 4*w - 5]', '[2449, 2449, 6*w^3 - 4*w^2 - 14*w + 9]', '[2449, 2449, -4*w^3 - 2*w^2 + 12*w + 13]', '[2449, 2449, -2*w^3 - 6*w^2 + 8*w + 11]', '[2449, 2449, 6*w^3 - 18*w - 1]', '[2449, 2449, 6*w + 1]', '[2449, 2449, -4*w^3 - 4*w^2 + 18*w + 7]', '[2449, 2449, -2*w^3 - 6*w^2 + 4*w + 13]', '[2462, 2462, 3*w^3 - 4*w^2 - 9*w + 4]', '[2462, 2462, -3*w^3 + 3*w - 4]', '[2462, 2462, -3*w^3 + 3*w + 4]', '[2462, 2462, 3*w^3 + 4*w^2 - 9*w - 4]', '[2498, 2498, -2*w^3 + 2*w^2 + w + 6]', '[2498, 2498, -2*w^3 + 8*w^2 + 7*w - 10]', '[2498, 2498, -2*w^3 - 8*w^2 + 7*w + 10]', '[2498, 2498, -2*w^3 - 2*w^2 + w - 6]', '[2500, 10, -5*w^2 + 10]', '[2511, 93, -3*w^3 - 3*w^2 + 6*w + 9]', '[2511, 93, 3*w^3 - 3*w^2 - 12*w + 3]', '[2511, 93, -3*w^3 - 3*w^2 + 12*w + 3]', '[2511, 93, 3*w^3 - 3*w^2 - 6*w + 9]', '[2528, 316, 2*w^3 + 4*w^2 - 10*w - 4]', '[2528, 316, -2*w^3 - 2*w - 4]', '[2528, 316, -2*w^3 - 2*w + 4]', '[2528, 316, 2*w^3 - 4*w^2 - 10*w + 4]', '[2543, 2543, -2*w^3 + 4*w^2 + 2*w - 9]', '[2543, 2543, 4*w^3 + 4*w^2 - 14*w - 7]', '[2543, 2543, -4*w^3 + 4*w^2 + 14*w - 7]', '[2543, 2543, 2*w^3 + 4*w^2 - 2*w - 9]', '[2558, 2558, 2*w^3 + w - 4]', '[2558, 2558, 2*w^3 + 4*w^2 - 9*w - 4]', '[2558, 2558, 2*w^3 - 4*w^2 - 9*w + 4]', '[2558, 2558, 2*w^3 + w + 4]', '[2564, 1282, -2*w^3 - w^2 + 6*w - 6]', '[2564, 1282, -3*w^3 - 5*w^2 + 12*w + 8]', '[2564, 1282, 3*w^3 - 5*w^2 - 12*w + 8]', '[2564, 1282, 2*w^3 - w^2 - 6*w - 6]', '[2591, 2591, -w^3 - 6*w^2 + 5*w + 15]', '[2591, 2591, 2*w^3 - 6*w^2 - 5*w + 9]', '[2591, 2591, -2*w^3 - 6*w^2 + 5*w + 9]', '[2591, 2591, w^3 - 6*w^2 - 5*w + 15]', '[2592, 12, -6*w]', '[2593, 2593, -5*w^3 + 2*w^2 + 12*w - 1]', '[2593, 2593, -6*w^3 + 3*w^2 + 19*w - 5]', '[2593, 2593, 6*w^3 + 3*w^2 - 19*w - 5]', '[2593, 2593, 5*w^3 + 2*w^2 - 12*w - 1]', '[2594, 2594, -w^3 + 6*w^2 + 3*w - 8]', '[2594, 2594, -w^3 + 2*w^2 + w + 4]', '[2594, 2594, -w^3 - 2*w^2 + w - 4]', '[2594, 2594, -w^3 - 6*w^2 + 3*w + 8]', '[2609, 2609, 3*w^3 + 6*w^2 - 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13]', '[9649, 9649, -4*w^3 + 6*w^2 + 9*w - 17]', '[9662, 9662, -7*w^3 - w^2 + 19*w + 4]', '[9662, 9662, -2*w^3 + w^2 + 13*w]', '[9662, 9662, 2*w^3 + w^2 - 13*w]', '[9662, 9662, 7*w^3 - w^2 - 19*w + 4]', '[9668, 4834, -3*w^3 + w^2 - 6]', '[9668, 4834, 3*w^3 + 5*w^2 - 12*w - 4]', '[9668, 4834, 3*w^3 - 5*w^2 - 12*w + 4]', '[9668, 4834, -3*w^3 - w^2 + 6]', '[9679, 9679, -w^3 + 3*w^2 + w + 5]', '[9679, 9679, w^3 - 8*w^2 - 3*w + 11]', '[9679, 9679, -w^3 - 8*w^2 + 3*w + 11]', '[9679, 9679, w^3 + 3*w^2 - w + 5]', '[9697, 9697, -4*w^3 + 4*w^2 + 9*w - 15]', '[9697, 9697, -3*w^3 + 4*w^2 + 13*w - 1]', '[9697, 9697, 3*w^3 + 4*w^2 - 13*w - 1]', '[9697, 9697, 4*w^3 + 4*w^2 - 9*w - 15]', '[9712, 1214, -2*w^3 + 4*w^2 + 14*w - 6]', '[9712, 1214, 8*w^3 + 4*w^2 - 22*w - 10]', '[9712, 1214, -8*w^3 + 4*w^2 + 22*w - 10]', '[9712, 1214, -6*w^2 - 4*w + 18]', '[9736, 2434, -9*w^3 + 4*w^2 + 26*w - 8]', '[9736, 2434, -5*w^3 - 4*w^2 + 2*w - 2]', '[9736, 2434, -5*w^3 + 4*w^2 + 2*w + 2]', '[9736, 2434, 9*w^3 + 4*w^2 - 26*w - 8]', '[9743, 9743, -6*w^3 + 11*w - 1]', '[9743, 9743, 6*w^3 + w^2 - 13*w - 1]', '[9743, 9743, 6*w^3 - w^2 - 13*w + 1]', '[9743, 9743, -6*w^3 + 11*w + 1]', '[9788, 4894, -7*w^3 + w^2 + 16*w + 4]', '[9788, 4894, 5*w^3 - w^2 - 22*w + 8]', '[9788, 4894, -5*w^3 - w^2 + 22*w + 8]', '[9788, 4894, 7*w^3 + w^2 - 16*w + 4]', '[9791, 9791, w^3 + 8*w^2 - w - 11]', '[9791, 9791, w^3 + 3*w^2 - 3*w + 5]', '[9791, 9791, w^3 - 3*w^2 - 3*w - 5]', '[9791, 9791, w^3 - 8*w^2 - w + 11]', '[9796, 4898, w^2 + 4*w - 14]', '[9796, 4898, -10*w^3 - w^2 + 28*w - 6]', '[9796, 4898, -6*w^3 + w^2 + 12*w - 2]', '[9796, 4898, 6*w^3 - w^2 - 24*w + 2]', '[9796, 4898, -4*w^3 - w^2 + 12*w - 10]', '[9796, 4898, -4*w^3 + 9*w^2 + 16*w - 22]', '[9796, 4898, 2*w^3 + w^2 - 16*w - 10]', '[9796, 4898, 4*w^3 - 9*w^2 - 8*w + 14]', '[9796, 4898, -4*w^3 - 9*w^2 + 8*w + 14]', '[9796, 4898, -2*w^3 + w^2 + 16*w - 10]', '[9796, 4898, 4*w^3 + 9*w^2 - 16*w - 22]', '[9796, 4898, 4*w^3 - w^2 - 12*w - 10]', '[9796, 4898, -6*w^3 - w^2 + 24*w + 2]', '[9796, 4898, 6*w^3 + w^2 - 12*w - 2]', '[9796, 4898, 10*w^3 - w^2 - 28*w - 6]', '[9796, 4898, w^2 - 4*w - 14]', '[9809, 9809, -10*w^3 + 2*w^2 + 33*w - 13]', '[9809, 9809, -8*w^3 + 6*w^2 + 32*w - 21]', '[9809, 9809, -3*w^3 + 10*w + 11]', '[9809, 9809, w^3 - 6*w^2 + w + 17]', '[9809, 9809, 7*w^3 + 10*w^2 - 20*w - 21]', '[9809, 9809, 5*w^3 + 6*w^2 - 13*w - 19]', '[9809, 9809, 8*w^3 + 4*w^2 - 22*w - 9]', '[9809, 9809, 8*w^3 + 2*w^2 - 27*w - 1]', '[9809, 9809, 8*w^3 - 2*w^2 - 27*w + 1]', '[9809, 9809, 8*w^3 - 4*w^2 - 22*w + 9]', '[9809, 9809, -5*w^3 + 6*w^2 + 13*w - 19]', '[9809, 9809, -7*w^3 + 10*w^2 + 20*w - 21]', '[9809, 9809, -w^3 - 6*w^2 - w + 17]', '[9809, 9809, 3*w^3 - 10*w + 11]', '[9809, 9809, -8*w^3 - 6*w^2 + 32*w + 21]', '[9809, 9809, -10*w^3 - 2*w^2 + 33*w + 13]', '[9826, 34, -2*w^3 + w^2 - w - 8]', '[9826, 34, 7*w^3 - w^2 - 23*w - 4]', '[9826, 34, -7*w^3 - w^2 + 23*w - 4]', '[9826, 34, -2*w^3 - w^2 - w + 8]', '[9826, 578, 2*w^3 - 13*w + 2]', '[9826, 578, -3*w^3 - 5*w^2 + 5*w + 14]', '[9826, 578, 3*w^3 + 8*w^2 - 11*w - 16]', '[9826, 578, 7*w^3 - 19*w + 2]', '[9826, 578, 2*w^3 - 8*w^2 - 3*w + 16]', '[9826, 578, -4*w^3 - 5*w^2 + 15*w + 6]', '[9826, 578, 4*w^3 - 5*w^2 - 15*w + 6]', '[9826, 578, 7*w^3 - 19*w - 2]', '[9826, 578, -2*w^3 - 8*w^2 + 3*w + 16]', '[9826, 578, -3*w^3 + 8*w^2 + 11*w - 16]', '[9826, 578, -3*w^3 + 5*w^2 + 5*w - 14]', '[9826, 578, 2*w^3 - 13*w - 2]', '[9826, 9826, 5*w^3 + 5*w^2 - 11*w - 14]', '[9826, 9826, -4*w^3 + 5*w^2 + 17*w - 6]', '[9826, 9826, 4*w^3 + 5*w^2 - 17*w - 6]', '[9826, 9826, 5*w^3 - 5*w^2 - 11*w + 14]', '[9839, 9839, -6*w^3 + 13*w - 1]', '[9839, 9839, -5*w^3 + 21*w + 1]', '[9839, 9839, 5*w^3 - 21*w + 1]', '[9839, 9839, -6*w^3 + 13*w + 1]', '[9848, 2462, -3*w^3 - 4*w^2 + 12*w]', '[9848, 2462, -3*w^3 - 4*w^2 + 8]', '[9848, 2462, -3*w^3 + 4*w^2 - 8]', '[9848, 2462, -3*w^3 + 4*w^2 + 12*w]', '[9857, 9857, -2*w^3 + 3*w^2 + w - 11]', '[9857, 9857, -5*w^3 - 3*w^2 + 17*w + 1]', '[9857, 9857, 5*w^3 - 3*w^2 - 17*w + 1]', '[9857, 9857, 2*w^3 + 3*w^2 - w - 11]', '[9871, 9871, -3*w^3 + 2*w^2 + 9*w - 15]', '[9871, 9871, -2*w^2 - 3*w - 7]', '[9871, 9871, -2*w^2 + 3*w - 7]', '[9871, 9871, 3*w^3 + 2*w^2 - 9*w - 15]', '[9886, 9886, 3*w^2 - 9*w - 2]', '[9886, 9886, -w^2 - 9*w + 4]', '[9886, 9886, w^2 - 9*w - 4]', '[9886, 9886, -3*w^2 - 9*w + 2]', '[9887, 9887, -2*w^3 - w^2 + 13*w + 3]', '[9887, 9887, 7*w^3 + w^2 - 19*w - 1]', '[9887, 9887, 7*w^3 - w^2 - 19*w + 1]', '[9887, 9887, 2*w^3 - w^2 - 13*w + 3]', '[9967, 9967, -7*w^3 + 17*w - 5]', '[9967, 9967, -4*w^3 - 3*w^2 + 14*w - 3]', '[9967, 9967, -4*w^3 + 3*w^2 + 14*w + 3]', '[9967, 9967, 7*w^3 - 17*w - 5]', '[9986, 9986, 5*w^3 + 3*w^2 - 7*w - 8]', '[9986, 9986, 3*w^3 - 6*w^2 - 5*w - 2]', '[9986, 9986, 3*w^3 + 6*w^2 - 5*w + 2]', '[9986, 9986, 5*w^3 - 3*w^2 - 7*w + 8]', '[9992, 2498, 3*w^3 - 6*w^2 - 10*w - 4]', '[9992, 2498, -3*w^3 - 10*w^2 + 2*w + 16]', '[9992, 2498, -3*w^3 + 10*w^2 + 2*w - 16]', '[9992, 2498, 3*w^3 + 6*w^2 - 10*w + 4]', '[10000, 10, -10]'], 'label': '4.4.2048.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w]', '[17, 17, -w^2 - w + 3]', '[17, 17, -w^3 - w^2 + 3*w + 1]', '[17, 17, w^3 - w^2 - 3*w + 1]', '[17, 17, w^2 - w - 3]', '[31, 31, w^3 + w^2 - 2*w - 3]', '[31, 31, -w^3 + w^2 + 4*w - 1]', '[31, 31, w^3 + w^2 - 4*w - 1]', '[31, 31, -w^3 + w^2 + 2*w - 3]', '[47, 47, -2*w^3 + w^2 + 5*w - 1]', '[47, 47, 2*w^3 + w^2 - 6*w - 1]', '[47, 47, -2*w^3 + w^2 + 6*w - 1]', '[47, 47, 2*w^3 + w^2 - 5*w - 1]', '[49, 7, w^2 + 1]', '[49, 7, -2*w^2 + 3]', '[79, 79, -w^3 - w^2 + 4*w - 1]', '[79, 79, -w^3 + w^2 + 2*w - 5]', '[79, 79, w^3 + w^2 - 2*w - 5]', '[79, 79, w^3 - w^2 - 4*w - 1]', '[81, 3, -3]', '[97, 97, -2*w^3 + 8*w + 1]', '[97, 97, -2*w^3 + 4*w - 1]', '[97, 97, -2*w^3 + 4*w + 1]', '[97, 97, 2*w^3 - 8*w + 1]', '[113, 113, w^3 - w^2 - w + 3]', '[113, 113, 2*w^3 - w^2 - 7*w + 1]', '[113, 113, 2*w^3 + w^2 - 7*w - 1]', '[113, 113, w^3 + w^2 - w - 3]', '[127, 127, 2*w^3 + 2*w^2 - 6*w - 3]', '[127, 127, 2*w^2 - 2*w - 5]', '[127, 127, 2*w^2 + 2*w - 5]', '[127, 127, -2*w^3 + 2*w^2 + 6*w - 3]', '[191, 191, 2*w^3 - 9*w - 3]', '[191, 191, -w^3 + 3*w^2 + 3*w - 5]', '[191, 191, -w^3 - 3*w^2 + 3*w + 5]', '[191, 191, -2*w^3 + 9*w - 3]', '[193, 193, -4*w^3 - w^2 + 12*w + 1]', '[193, 193, 3*w^3 - w^2 - 11*w + 1]', '[193, 193, -3*w^3 - w^2 + 11*w + 1]', '[193, 193, -w^3 + 2*w^2 + 5*w - 7]', '[223, 223, 3*w^3 - w^2 - 10*w + 1]', '[223, 223, w^3 - 5*w - 5]', '[223, 223, -w^3 + 5*w - 5]', '[223, 223, -3*w^3 - w^2 + 10*w + 1]', '[239, 239, -2*w^2 + w - 1]', '[239, 239, -w^3 - 2*w^2 + 3*w + 9]', '[239, 239, w^3 - 2*w^2 - 3*w + 9]', '[239, 239, -2*w^2 - w - 1]', '[241, 241, -w^3 + w^2 + 2*w - 7]', '[241, 241, -w^3 - 2*w^2 + w + 5]', '[241, 241, w^3 - 2*w^2 - w + 5]', '[241, 241, w^3 + w^2 - 2*w - 7]', '[257, 257, -w^3 - 3*w^2 + w + 7]', '[257, 257, -2*w^2 + 3*w + 5]', '[257, 257, -2*w^2 - 3*w + 5]', '[257, 257, w^3 - 3*w^2 - w + 7]', '[271, 271, 3*w^3 - 10*w + 3]', '[271, 271, w^3 + 3]', '[271, 271, -w^3 + 3]', '[271, 271, -3*w^3 + 10*w + 3]', '[337, 337, -w^3 + w^2 + w - 5]', '[337, 337, -2*w^3 + w^2 + 7*w + 1]', '[337, 337, 2*w^3 + w^2 - 7*w + 1]', '[337, 337, w^3 + w^2 - w - 5]', '[353, 353, -w^3 + 6*w - 1]', '[353, 353, 3*w^3 - 8*w + 1]', '[353, 353, 3*w^3 - 8*w - 1]', '[353, 353, w^3 - 6*w - 1]', '[367, 367, -2*w^3 + w^2 + 8*w + 1]', '[367, 367, -2*w^3 + w^2 + 4*w - 5]', '[367, 367, 2*w^3 + w^2 - 4*w - 5]', '[367, 367, 2*w^3 + w^2 - 8*w + 1]', '[383, 383, -w^3 - w^2 + 3*w - 3]', '[383, 383, w^2 - w - 7]', '[383, 383, w^2 + w - 7]', '[383, 383, w^3 - w^2 - 3*w - 3]', '[401, 401, 3*w^3 - w^2 - 9*w - 1]', '[401, 401, w^3 - w^2 - 4*w + 7]', '[401, 401, w^3 + w^2 - 4*w - 7]', '[401, 401, -3*w^3 - w^2 + 9*w - 1]', '[431, 431, 2*w^2 + 2*w - 7]', '[431, 431, 2*w^3 - 2*w^2 - 6*w + 1]', '[431, 431, -2*w^3 - 2*w^2 + 6*w + 1]', '[431, 431, 2*w^2 - 2*w - 7]', '[433, 433, w^3 - 2*w - 5]', '[433, 433, w^3 - 4*w - 5]', '[433, 433, -w^3 + 4*w - 5]', '[433, 433, -w^3 + 2*w - 5]', '[449, 449, 3*w^3 + 3*w^2 - 9*w - 5]', '[449, 449, w^2 + 4*w - 1]', '[449, 449, -w^2 + 4*w + 1]', '[449, 449, -3*w^3 + 3*w^2 + 9*w - 5]', '[463, 463, -w^3 + w^2 + 3*w - 7]', '[463, 463, -w^2 - w - 3]', '[463, 463, -w^2 + w - 3]', '[463, 463, w^3 + w^2 - 3*w - 7]', '[479, 479, 2*w^3 - w^2 - 9*w + 3]', '[479, 479, 3*w^3 - w^2 - 7*w + 1]', '[479, 479, -3*w^3 - w^2 + 7*w + 1]', '[479, 479, -2*w^3 - w^2 + 9*w + 3]', '[529, 23, -w^2 - 3]', '[529, 23, w^2 - 7]', '[577, 577, -3*w^3 + 11*w - 5]', '[577, 577, 3*w^3 + w^2 - 12*w - 3]', '[577, 577, -3*w^3 + w^2 + 12*w - 3]', '[577, 577, 3*w^3 - 11*w - 5]', '[593, 593, -2*w^3 - 3*w^2 + 5*w + 1]', '[593, 593, 2*w^3 + 4*w^2 - 6*w - 9]', '[593, 593, -2*w^3 + 4*w^2 + 6*w - 9]', '[593, 593, 2*w^3 - 3*w^2 - 5*w + 1]', '[607, 607, -w^3 + 2*w^2 + 7*w - 3]', '[607, 607, 4*w^3 + 2*w^2 - 11*w - 5]', '[607, 607, -4*w^3 + 2*w^2 + 11*w - 5]', '[607, 607, -3*w^2 - 2*w + 9]', '[625, 5, -5]', '[641, 641, w^3 - 4*w^2 - 4*w + 7]', '[641, 641, 3*w^3 - w^2 - 9*w - 3]', '[641, 641, -3*w^3 - w^2 + 9*w - 3]', '[641, 641, -w^3 - 4*w^2 + 4*w + 7]', '[673, 673, 2*w^3 - 2*w^2 - 7*w + 1]', '[673, 673, -2*w^3 + w^2 + w - 3]', '[673, 673, -2*w^3 - w^2 + w + 3]', '[673, 673, 2*w^3 + 2*w^2 - 7*w - 1]', '[719, 719, -w^3 - 4*w^2 + 4*w + 3]', '[719, 719, w^3 - w^2 + 5]', '[719, 719, -w^3 - w^2 + 5]', '[719, 719, -w^3 + 4*w^2 + 4*w - 3]', '[751, 751, 3*w^3 - 3*w^2 - 8*w + 3]', '[751, 751, w^3 + 3*w^2 - 6*w - 9]', '[751, 751, -w^3 + 3*w^2 + 6*w - 9]', '[751, 751, -3*w^3 - 3*w^2 + 8*w + 3]', '[769, 769, w^3 - 4*w^2 - 4*w + 9]', '[769, 769, w^3 + 4*w^2 - 2*w - 7]', '[769, 769, -w^3 + 4*w^2 + 2*w - 7]', '[769, 769, w^3 + 4*w^2 - 4*w - 9]', '[863, 863, -w^3 + 4*w^2 + 3*w - 9]', '[863, 863, 4*w^2 - w - 7]', '[863, 863, 4*w^2 + w - 7]', '[863, 863, w^3 + 4*w^2 - 3*w - 9]', '[881, 881, 2*w^2 - 3*w - 7]', '[881, 881, 3*w^3 + 2*w^2 - 9*w - 1]', '[881, 881, 3*w^3 - 2*w^2 - 9*w + 1]', '[881, 881, 2*w^2 + 3*w - 7]', '[911, 911, -w^3 - w^2 + 7*w + 1]', '[911, 911, 4*w^3 - w^2 - 11*w + 3]', '[911, 911, 4*w^3 + w^2 - 11*w - 3]', '[911, 911, w^3 - w^2 - 7*w + 1]', '[929, 929, 2*w^3 - 10*w + 3]', '[929, 929, 4*w^3 - 10*w - 3]', '[929, 929, -4*w^3 + 10*w - 3]', '[929, 929, 2*w^3 - 10*w - 3]', '[977, 977, -4*w^3 + 3*w^2 + 11*w - 11]', '[977, 977, 4*w^3 + 3*w^2 - 16*w - 9]', '[977, 977, -2*w^3 + 5*w^2 + 5*w - 15]', '[977, 977, 4*w^3 + 3*w^2 - 11*w - 11]', '[991, 991, -4*w^3 + 11*w + 1]', '[991, 991, w^3 - 7*w - 1]', '[991, 991, -w^3 + 7*w - 1]', '[991, 991, 4*w^3 - 11*w + 1]']}
68. label: 4.4.2225.1
    {'degree': 4, 'discriminant': 2225, 'ideals': ['[1, 1, 1]', '[4, 2, -w]', '[4, 2, 1/2*w^3 - 1/2*w^2 - 5/2*w + 1]', '[16, 2, 2]', '[16, 4, -w^3 + w^2 + 4*w]', '[16, 4, -1/2*w^3 + 3/2*w^2 + 3/2*w - 2]', '[19, 19, 1/2*w^3 - 3/2*w^2 - 1/2*w + 4]', '[19, 19, 1/2*w^3 + 1/2*w^2 - 5/2*w - 1]', '[25, 5, w^3 - w^2 - 3*w + 1]', '[29, 29, -1/2*w^3 + 3/2*w^2 + 3/2*w - 1]', '[29, 29, -w^2 + 5]', '[31, 31, -w^3 + 2*w^2 + 3*w - 3]', '[31, 31, -1/2*w^3 - 1/2*w^2 + 3/2*w + 3]', '[41, 41, -1/2*w^3 - 1/2*w^2 + 5/2*w]', '[41, 41, -1/2*w^3 + 3/2*w^2 + 1/2*w - 5]', '[59, 59, w^3 - w^2 - 5*w + 1]', '[59, 59, 3/2*w^3 - 1/2*w^2 - 11/2*w - 1]', '[61, 61, 3/2*w^3 - 1/2*w^2 - 11/2*w - 2]', '[61, 61, -2*w^2 + w + 7]', '[64, 4, -2*w]', '[64, 4, w^3 - w^2 - 5*w + 2]', '[64, 8, 1/2*w^3 + 1/2*w^2 - 7/2*w]', '[64, 8, w^3 - 4*w]', '[71, 71, 1/2*w^3 - 3/2*w^2 - 5/2*w + 6]', '[71, 71, -1/2*w^3 + 5/2*w^2 - 1/2*w - 5]', '[71, 71, 1/2*w^3 + 3/2*w^2 - 7/2*w - 5]', '[71, 71, -w^3 + 3*w^2 + 2*w - 7]', '[76, 38, 1/2*w^3 + 3/2*w^2 - 5/2*w - 5]', '[76, 38, w^3 - 3*w^2 - 2*w + 6]', '[76, 38, w^3 - 2*w^2 - 3*w + 2]', '[76, 38, -1/2*w^3 - 1/2*w^2 + 3/2*w + 4]', '[81, 3, -3]', '[89, 89, -1/2*w^3 + 5/2*w^2 + 3/2*w - 6]', '[100, 10, 1/2*w^3 - 5/2*w^2 - 1/2*w + 7]', '[100, 10, -2*w^2 + w + 4]', '[101, 101, w^2 - 2*w - 5]', '[101, 101, -1/2*w^3 - 1/2*w^2 + 7/2*w - 1]', '[109, 109, w^3 - 2*w^2 - 3*w + 1]', '[109, 109, -5/2*w^3 + 7/2*w^2 + 17/2*w - 8]', '[109, 109, 1/2*w^3 + 1/2*w^2 - 3/2*w - 5]', '[109, 109, -2*w^3 + 2*w^2 + 8*w - 1]', '[116, 58, 2*w^2 - w - 6]', '[116, 58, w^3 - 5*w]', '[116, 58, -1/2*w^3 + 3/2*w^2 - 1/2*w - 4]', '[116, 58, -1/2*w^3 + 5/2*w^2 + 1/2*w - 5]', '[121, 11, 3/2*w^3 - 3/2*w^2 - 9/2*w + 1]', '[121, 11, -3/2*w^3 + 3/2*w^2 + 9/2*w - 2]', '[124, 62, -w^3 + 2*w^2 + w - 4]', '[124, 62, 1/2*w^3 - 1/2*w^2 - 5/2*w - 3]', '[124, 62, 3/2*w^3 - 1/2*w^2 - 13/2*w]', '[124, 62, w - 4]', '[131, 131, -1/2*w^3 - 3/2*w^2 + 11/2*w + 6]', '[131, 131, -1/2*w^3 - 1/2*w^2 + 9/2*w + 2]', '[131, 131, -1/2*w^3 - 1/2*w^2 + 9/2*w + 1]', '[131, 131, -3/2*w^3 + 3/2*w^2 + 13/2*w - 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w^2 - 7*w]', '[244, 122, -w^3 - 2*w^2 + 5*w + 6]', '[244, 122, 7/2*w^3 - 7/2*w^2 - 27/2*w + 5]', '[256, 4, 4]', '[256, 8, -2*w^3 + 2*w^2 + 8*w]', '[256, 8, -w^3 + 3*w^2 + 3*w - 4]', '[256, 16, -w^3 + w^2 + 6*w - 4]', '[256, 16, -1/2*w^3 + 1/2*w^2 + 9/2*w + 1]', '[269, 269, -w^3 + 2*w^2 + w - 5]', '[269, 269, -3/2*w^3 + 5/2*w^2 + 7/2*w - 8]', '[269, 269, 3/2*w^3 - 7/2*w^2 - 7/2*w + 4]', '[269, 269, -w^3 - w^2 + 4*w + 7]', '[281, 281, -1/2*w^3 + 5/2*w^2 - 1/2*w - 9]', '[281, 281, 1/2*w^3 + 3/2*w^2 - 7/2*w - 1]', '[284, 142, 3*w^3 - 4*w^2 - 12*w + 11]', '[284, 142, -2*w^3 + w^2 + 6*w + 2]', '[284, 142, -5/2*w^3 + 7/2*w^2 + 15/2*w - 4]', '[284, 142, -5/2*w^3 + 3/2*w^2 + 19/2*w + 2]', '[284, 142, w^3 - 5*w + 2]', '[284, 142, -7/2*w^3 + 11/2*w^2 + 23/2*w - 11]', '[284, 142, -2*w^3 + 3*w^2 + 4*w - 2]', '[284, 142, -2*w^3 + 3*w^2 + 5*w - 4]', '[289, 17, -w^3 + 2*w^2 + 5*w - 1]', '[289, 17, -1/2*w^3 + 3/2*w^2 + 7/2*w - 7]', '[304, 38, w^3 - 3*w^2 - w + 8]', '[304, 38, w^3 + w^2 - 5*w - 2]', '[304, 76, -1/2*w^3 + 1/2*w^2 + 9/2*w - 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5]', '[269, 269, -3/2*w^3 + 5/2*w^2 + 7/2*w - 8]', '[269, 269, 3/2*w^3 - 7/2*w^2 - 7/2*w + 4]', '[269, 269, -w^3 - w^2 + 4*w + 7]', '[281, 281, -1/2*w^3 + 5/2*w^2 - 1/2*w - 9]', '[281, 281, 1/2*w^3 + 3/2*w^2 - 7/2*w - 1]', '[289, 17, -w^3 + 2*w^2 + 5*w - 1]', '[289, 17, -1/2*w^3 + 3/2*w^2 + 7/2*w - 7]', '[331, 331, 3/2*w^3 - 3/2*w^2 - 15/2*w + 2]', '[331, 331, -5/2*w^3 + 7/2*w^2 + 17/2*w - 4]', '[331, 331, 3*w - 1]', '[331, 331, -3/2*w^3 + 1/2*w^2 + 7/2*w + 3]', '[349, 349, -1/2*w^3 - 1/2*w^2 + 5/2*w - 3]', '[349, 349, -1/2*w^3 + 3/2*w^2 + 1/2*w - 8]', '[359, 359, -5/2*w^3 + 9/2*w^2 + 11/2*w - 6]', '[359, 359, -1/2*w^3 + 7/2*w^2 + 1/2*w - 6]', '[361, 19, -2*w^3 + 2*w^2 + 6*w - 3]', '[379, 379, 1/2*w^3 + 5/2*w^2 - 9/2*w - 7]', '[379, 379, w^3 - w^2 - 6*w + 3]', '[389, 389, 1/2*w^3 - 1/2*w^2 - 5/2*w - 4]', '[389, 389, w - 5]', '[401, 401, 2*w^2 + w - 7]', '[401, 401, -3/2*w^3 + 7/2*w^2 + 11/2*w - 6]', '[401, 401, w^3 - 3*w^2 - 3*w + 3]', '[401, 401, 2*w^2 - 9]', '[409, 409, -1/2*w^3 - 5/2*w^2 + 9/2*w + 8]', '[409, 409, 1/2*w^3 + 3/2*w^2 - 3/2*w - 7]', '[409, 409, -3/2*w^3 + 7/2*w^2 + 9/2*w - 5]', '[409, 409, -1/2*w^3 + 7/2*w^2 - 3/2*w - 7]', '[419, 419, 2*w^3 - 11*w - 5]', '[419, 419, 5/2*w^3 - 3/2*w^2 - 17/2*w + 2]', '[421, 421, -1/2*w^3 + 5/2*w^2 + 7/2*w - 2]', '[421, 421, -w^3 + w^2 + w + 5]', '[431, 431, 2*w^3 - w^2 - 6*w - 1]', '[431, 431, -5/2*w^3 + 7/2*w^2 + 15/2*w - 5]', '[439, 439, -w^3 + 7*w - 5]', '[439, 439, -w^3 + w + 3]', '[449, 449, -2*w^3 + 2*w^2 + 5*w - 3]', '[449, 449, -1/2*w^3 - 1/2*w^2 + 11/2*w - 1]', '[449, 449, 1/2*w^3 + 1/2*w^2 - 5/2*w - 7]', '[449, 449, 5/2*w^3 - 5/2*w^2 - 11/2*w + 5]', '[491, 491, -5/2*w^3 + 5/2*w^2 + 17/2*w - 2]', '[491, 491, 2*w^3 - 2*w^2 - 5*w + 1]', '[499, 499, w^3 + w^2 - 5*w - 1]', '[499, 499, -w^3 + 3*w^2 + w - 9]', '[521, 521, -w^3 + 4*w^2 + w - 9]', '[521, 521, 1/2*w^3 + 5/2*w^2 - 7/2*w - 7]', '[541, 541, -3/2*w^3 + 5/2*w^2 + 11/2*w - 1]', '[541, 541, 1/2*w^3 + 1/2*w^2 - 1/2*w - 6]', '[569, 569, -3/2*w^3 + 5/2*w^2 + 3/2*w - 5]', '[569, 569, -2*w^3 + 4*w^2 + 5*w - 13]', '[571, 571, -w^3 + 3*w^2 - 7]', '[571, 571, -w^3 + 2*w^2 + w - 7]', '[599, 599, 1/2*w^3 + 5/2*w^2 - 5/2*w - 11]', '[599, 599, 1/2*w^3 + 3/2*w^2 - 11/2*w - 8]', '[619, 619, -w - 5]', '[619, 619, -1/2*w^3 + 1/2*w^2 + 5/2*w - 6]', '[619, 619, -1/2*w^3 + 7/2*w^2 - 1/2*w - 9]', '[619, 619, 3*w^2 - 2*w - 7]', '[641, 641, -w^3 - 2*w^2 + 5*w + 3]', '[641, 641, 2*w^2 - 4*w - 7]', '[641, 641, 3/2*w^3 - 9/2*w^2 - 5/2*w + 13]', '[641, 641, -3/2*w^3 + 7/2*w^2 + 5/2*w - 9]', '[659, 659, -w^3 + 7*w + 1]', '[659, 659, 5/2*w^3 - 5/2*w^2 - 19/2*w - 1]', '[659, 659, -1/2*w^3 + 7/2*w^2 + 1/2*w - 8]', '[659, 659, 2*w^2 + 2*w - 7]', '[661, 661, 2*w^3 - 2*w^2 - 10*w + 1]', '[661, 661, w^3 - 5*w - 7]', '[691, 691, -w^3 + 3*w^2 + 4*w - 3]', '[691, 691, -3/2*w^3 + 7/2*w^2 + 1/2*w - 6]', '[691, 691, 5/2*w^3 - 1/2*w^2 - 23/2*w - 2]', '[691, 691, -1/2*w^3 + 5/2*w^2 + 5/2*w - 10]', '[701, 701, 5/2*w^3 - 5/2*w^2 - 23/2*w + 4]', '[701, 701, -1/2*w^3 + 1/2*w^2 + 7/2*w - 7]', '[701, 701, -2*w^3 + w^2 + 10*w - 3]', '[701, 701, -1/2*w^3 + 7/2*w^2 - 3/2*w - 12]', '[709, 709, -1/2*w^3 + 5/2*w^2 - 3/2*w - 8]', '[709, 709, -3/2*w^3 + 5/2*w^2 + 5/2*w - 7]', '[719, 719, -w^3 + 4*w^2 - w - 9]', '[719, 719, 3/2*w^3 + 3/2*w^2 - 17/2*w - 5]', '[739, 739, 3/2*w^3 + 1/2*w^2 - 11/2*w - 8]', '[739, 739, 2*w^3 - 4*w^2 - 5*w + 3]', '[761, 761, 3*w^2 - 11]', '[761, 761, 5/2*w^3 - 7/2*w^2 - 13/2*w + 4]', '[761, 761, -3/2*w^3 + 9/2*w^2 + 9/2*w - 7]', '[761, 761, 5/2*w^3 - 3/2*w^2 - 17/2*w - 1]', '[821, 821, -w^3 + w^2 + 7*w + 1]', '[821, 821, -4*w - 1]', '[821, 821, -w^3 + w^2 + 7*w - 5]', '[821, 821, 2*w^3 - 2*w^2 - 10*w + 5]', '[829, 829, 3*w^3 - 2*w^2 - 11*w + 1]', '[829, 829, -5/2*w^3 + 7/2*w^2 + 11/2*w - 5]', '[839, 839, 3/2*w^3 + 1/2*w^2 - 9/2*w - 6]', '[839, 839, 5/2*w^3 - 9/2*w^2 - 15/2*w + 6]', '[841, 29, 5/2*w^3 - 5/2*w^2 - 15/2*w + 4]', '[859, 859, -3*w^3 + 3*w^2 + 10*w - 1]', '[859, 859, 5/2*w^3 - 5/2*w^2 - 13/2*w]', '[881, 881, -3/2*w^3 + 7/2*w^2 + 9/2*w - 3]', '[881, 881, -w^3 + 3*w^2 + 2*w - 13]', '[881, 881, -5/2*w^3 + 9/2*w^2 + 19/2*w - 8]', '[881, 881, -7/2*w^3 + 11/2*w^2 + 25/2*w - 10]', '[911, 911, w^3 - w^2 + 2*w - 1]', '[911, 911, 7/2*w^3 - 11/2*w^2 - 17/2*w + 4]', '[911, 911, -3*w^3 + 2*w^2 + 11*w + 1]', '[911, 911, 5/2*w^3 - 7/2*w^2 - 11/2*w + 3]', '[919, 919, 1/2*w^3 + 1/2*w^2 + 3/2*w - 5]', '[919, 919, -5/2*w^3 + 7/2*w^2 + 21/2*w - 4]', '[929, 929, -3/2*w^3 + 9/2*w^2 + 3/2*w - 11]', '[929, 929, -1/2*w^3 + 1/2*w^2 + 11/2*w + 1]', '[929, 929, -3/2*w^3 + 3/2*w^2 + 17/2*w - 5]', '[929, 929, 3/2*w^3 + 3/2*w^2 - 15/2*w - 4]', '[941, 941, -1/2*w^3 + 5/2*w^2 - 5/2*w - 7]', '[941, 941, -3/2*w^3 + 7/2*w^2 + 5/2*w - 10]', '[961, 31, 5/2*w^3 - 5/2*w^2 - 15/2*w + 2]', '[971, 971, 5/2*w^3 + 1/2*w^2 - 21/2*w - 4]', '[971, 971, 3*w^3 - 15*w - 5]', '[971, 971, -2*w^3 + 2*w^2 + 3*w - 5]', '[971, 971, -5/2*w^3 + 5/2*w^2 + 21/2*w - 10]', '[991, 991, -3/2*w^3 + 7/2*w^2 + 9/2*w - 2]', '[991, 991, 1/2*w^3 + 3/2*w^2 - 3/2*w - 10]']}
69. label: 4.4.2304.1
    {'degree': 4, 'discriminant': 2304, 'ideals': ['[1, 1, 1]', '[2, 2, w^3 - 4*w + 1]', '[4, 2, w^3 - 3*w]', '[8, 2, w^3 - w^2 - 3*w + 3]', '[9, 3, -w^2 + 2]', '[16, 2, 2]', '[18, 6, 2*w^3 - w^2 - 7*w + 2]', '[23, 23, w^3 - w^2 - 4*w + 1]', '[23, 23, w^2 - w - 3]', '[23, 23, -w^2 - w + 3]', '[23, 23, -w^3 - w^2 + 4*w + 1]', '[25, 5, w^3 - 5*w + 1]', '[25, 5, w^3 - 5*w - 1]', '[32, 4, 2*w^3 - 8*w + 2]', '[36, 6, w^3 - 5*w]', '[46, 46, w + 3]', '[46, 46, w^3 - 4*w + 3]', '[46, 46, w^3 - 4*w - 3]', '[46, 46, w - 3]', '[47, 47, -3*w^3 + 2*w^2 + 12*w - 8]', '[47, 47, -2*w^3 - w^2 + 6*w]', '[47, 47, 2*w^3 - w^2 - 6*w]', '[47, 47, w^2 + w - 5]', '[49, 7, 2*w^3 - 6*w - 1]', '[49, 7, -2*w^3 + 6*w - 1]', '[50, 10, -w^2 + w + 4]', '[50, 10, -w^2 - w + 4]', '[64, 4, 2*w^3 - 6*w]', '[71, 71, 2*w^3 - w^2 - 7*w + 1]', '[71, 71, 3*w^3 - w^2 - 11*w + 2]', '[71, 71, 4*w^3 - 2*w^2 - 14*w + 5]', '[71, 71, -3*w^3 + 2*w^2 + 10*w - 4]', '[72, 6, w^3 - w^2 - 5*w + 5]', '[73, 73, -w^3 - 2*w^2 + 3*w + 5]', '[73, 73, -w^3 + 2*w^2 + 3*w - 3]', '[73, 73, w^3 + 2*w^2 - 3*w - 3]', '[73, 73, w^3 - 2*w^2 - 3*w + 5]', '[81, 3, 3]', '[92, 46, -w^2 - 2*w + 3]', '[92, 46, -2*w^3 - w^2 + 8*w + 1]', '[92, 46, 2*w^3 - w^2 - 8*w + 1]', '[92, 46, w^2 - 2*w - 3]', '[94, 94, -w^3 + 2*w^2 + 4*w - 5]', '[94, 94, 2*w^3 - 3*w^2 - 5*w + 6]', '[94, 94, -2*w^3 + w^2 + 7*w - 6]', '[94, 94, w^3 + 2*w^2 - 4*w - 5]', '[97, 97, 2*w^2 + w - 4]', '[97, 97, w^3 + 2*w^2 - 4*w - 4]', '[97, 97, -w^3 + 2*w^2 + 4*w - 4]', '[97, 97, 2*w^2 - w - 4]', '[98, 14, w^3 - 2*w^2 - 2*w + 5]', '[98, 14, -3*w^3 + 2*w^2 + 10*w - 7]', '[100, 10, -w^3 - 2*w^2 + 3*w + 4]', '[100, 10, w^3 - 2*w^2 - 3*w + 4]', '[121, 11, 2*w^3 - 5*w]', '[121, 11, 3*w^3 - 10*w]', '[128, 4, 2*w^3 - 2*w^2 - 6*w + 6]', '[142, 142, 2*w^3 - 9*w + 1]', '[142, 142, -w^3 + 6*w - 1]', '[142, 142, w^3 - 6*w - 1]', '[142, 142, 2*w^3 - 9*w - 1]', '[144, 6, -2*w^2 + 4]', '[146, 146, 4*w^3 - w^2 - 15*w + 2]', '[146, 146, -2*w^3 + w^2 + 7*w]', '[146, 146, -4*w^3 + 3*w^2 + 13*w - 6]', '[146, 146, 6*w^3 - 3*w^2 - 21*w + 8]', '[162, 6, 3*w^3 - 12*w + 3]', '[167, 167, -2*w^3 + 3*w^2 + 5*w - 7]', '[167, 167, -2*w^3 - w^2 + 10*w - 2]', '[167, 167, 3*w^3 - 11*w + 3]', '[167, 167, 3*w^3 - 2*w^2 - 10*w + 8]', '[169, 13, 2*w^3 - 9*w]', '[169, 13, w^3 - 6*w]', '[184, 46, 3*w^3 + w^2 - 9*w - 1]', '[184, 46, -3*w^3 - w^2 + 9*w + 3]', '[184, 46, 3*w^3 - w^2 - 9*w + 3]', '[184, 46, -3*w^3 + w^2 + 9*w - 1]', '[188, 94, -6*w^3 + 3*w^2 + 22*w - 9]', '[188, 94, -w^3 + w - 4]', '[188, 94, -w^3 + w + 4]', '[188, 94, -4*w^3 + w^2 + 14*w - 1]', '[191, 191, w^2 - 2*w - 4]', '[191, 191, 2*w^3 + w^2 - 8*w]', '[191, 191, -2*w^3 + w^2 + 8*w]', '[191, 191, w^2 + 2*w - 4]', '[193, 193, -w - 4]', '[193, 193, -w^3 + 4*w - 4]', '[193, 193, w^3 - 4*w - 4]', '[193, 193, w - 4]', '[194, 194, -5*w^3 + 3*w^2 + 18*w - 8]', '[194, 194, -4*w^3 + 2*w^2 + 13*w - 3]', '[194, 194, -4*w^3 + 2*w^2 + 15*w - 5]', '[194, 194, -3*w^3 + w^2 + 10*w]', '[196, 14, -w^3 + 3*w - 4]', '[196, 14, -w^3 + 3*w + 4]', '[200, 10, 3*w^3 - w^2 - 11*w + 1]', '[200, 10, 3*w^3 + w^2 - 11*w - 1]', '[207, 69, 2*w^3 + w^2 - 7*w + 1]', '[207, 69, w^3 + w^2 - 2*w - 5]', '[207, 69, w^3 - w^2 - 2*w + 5]', '[207, 69, -2*w^3 + w^2 + 7*w + 1]', '[225, 15, 3*w^3 - w^2 - 9*w + 2]', '[225, 15, 3*w^3 + w^2 - 9*w - 2]', '[239, 239, 4*w^3 - 3*w^2 - 16*w + 12]', '[239, 239, -5*w^3 + w^2 + 19*w - 6]', '[239, 239, 4*w^3 - 16*w + 3]', '[239, 239, w^3 - 2*w^2 - 5*w + 9]', '[241, 241, 2*w^3 + w^2 - 10*w - 4]', '[241, 241, 2*w^3 - w^2 - 10*w]', '[241, 241, -2*w^3 - w^2 + 10*w]', '[241, 241, -2*w^3 + w^2 + 10*w - 4]', '[242, 22, 2*w^3 - 2*w^2 - 5*w + 5]', '[242, 22, 3*w^3 - 3*w^2 - 10*w + 10]', '[256, 4, 4]', '[263, 263, -2*w^3 + 2*w^2 + 6*w - 7]', '[263, 263, -4*w^3 + 3*w^2 + 13*w - 9]', '[263, 263, -w^3 + 2*w^2 + 2*w - 6]', '[263, 263, -3*w^3 + 3*w^2 + 9*w - 8]', '[284, 142, -w^2 - 2*w + 5]', '[284, 142, w^3 - 2*w^2 - 5*w + 8]', '[284, 142, 3*w^3 - 2*w^2 - 13*w + 10]', '[284, 142, -2*w^3 + w^2 + 10*w - 7]', '[288, 12, 4*w^3 - 2*w^2 - 14*w + 4]', '[289, 17, 3*w^3 - 9*w + 1]', '[289, 17, -3*w^3 + 9*w + 1]', '[292, 146, 3*w^3 - 13*w - 2]', '[292, 146, -w^3 + 7*w - 2]', '[292, 146, -w^3 + 7*w + 2]', '[292, 146, 3*w^3 - 13*w + 2]', '[311, 311, 2*w^3 + w^2 - 8*w + 2]', '[311, 311, -w^2 - 2*w + 6]', '[311, 311, 3*w^3 - 2*w^2 - 13*w + 9]', '[311, 311, -2*w^3 + w^2 + 8*w + 2]', '[313, 313, -w^3 - w^2 + 4*w - 3]', '[313, 313, w^2 - w - 7]', '[313, 313, w^2 + w - 7]', '[313, 313, w^3 - w^2 - 4*w - 3]', '[324, 6, 3*w^3 - 9*w]', '[334, 334, -3*w^3 + w^2 + 8*w]', '[334, 334, -w^3 + 2*w - 5]', '[334, 334, w^3 - 2*w - 5]', '[334, 334, 3*w^3 + w^2 - 8*w]', '[337, 337, 3*w^3 - 8*w - 2]', '[337, 337, -4*w^3 + 13*w - 2]', '[337, 337, 4*w^3 - 13*w - 2]', '[337, 337, 3*w^3 - 8*w + 2]', '[338, 26, w^3 - w^2 - 6*w + 6]', '[338, 26, 2*w^3 - 2*w^2 - 9*w + 9]', '[359, 359, w^3 + 2*w^2 - 6*w - 6]', '[359, 359, -2*w^3 + 2*w^2 + 9*w - 2]', '[359, 359, 2*w^3 + 2*w^2 - 9*w - 2]', '[359, 359, -w^3 + 2*w^2 + 6*w - 6]', '[361, 19, -w^3 + 5*w - 5]', '[361, 19, w^3 - 5*w - 5]', '[368, 46, 2*w^3 - 2*w^2 - 8*w + 2]', '[368, 46, 2*w^2 - 2*w - 6]', '[368, 46, -2*w^2 - 2*w + 6]', '[368, 46, -2*w^3 - 2*w^2 + 8*w + 2]', '[376, 94, -3*w^3 + w^2 + 13*w - 3]', '[376, 94, -5*w^3 + w^2 + 17*w - 5]', '[376, 94, 3*w^3 + w^2 - 15*w + 3]', '[376, 94, -3*w^3 - w^2 + 13*w + 3]', '[382, 382, -4*w^3 + w^2 + 13*w - 2]', '[382, 382, -2*w^3 + 3*w^2 + 7*w - 8]', '[382, 382, 2*w^3 - w^2 - 9*w + 8]', '[382, 382, -4*w^3 + w^2 + 17*w - 6]', '[383, 383, -w^3 + w^2 - 3]', '[383, 383, 4*w^3 + w^2 - 15*w - 1]', '[383, 383, -4*w^3 + w^2 + 15*w - 1]', '[383, 383, w^3 + w^2 - 3]', '[386, 386, -3*w^3 - w^2 + 12*w]', '[386, 386, -4*w^3 + 17*w - 5]', '[386, 386, -4*w^3 + 15*w - 3]', '[386, 386, -5*w^3 + w^2 + 20*w - 8]', '[388, 194, -2*w^3 + w^2 + 10*w - 1]', '[388, 194, -2*w^3 - w^2 + 10*w + 3]', '[388, 194, -2*w^3 + w^2 + 10*w - 3]', '[388, 194, -2*w^3 - w^2 + 10*w + 1]', '[392, 14, -5*w^3 + w^2 + 19*w - 7]', '[392, 14, 3*w^3 + w^2 - 13*w + 1]', '[400, 10, 2*w^3 - 10*w + 2]', '[400, 10, 2*w^3 - 10*w - 2]', '[409, 409, 3*w^3 + w^2 - 8*w - 1]', '[409, 409, 4*w^3 - w^2 - 13*w + 3]', '[409, 409, 4*w^3 + w^2 - 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w^2 + 22*w - 4]', '[1746, 582, -7*w^3 + w^2 + 26*w - 8]', '[1746, 582, -4*w^3 - 2*w^2 + 17*w + 1]', '[1753, 1753, -5*w^3 - w^2 + 21*w + 2]', '[1753, 1753, -w^3 - w^2 + 9*w + 2]', '[1753, 1753, w^3 - w^2 - 9*w + 2]', '[1753, 1753, 5*w^3 - w^2 - 21*w + 2]', '[1764, 42, -w^3 + 4*w^2 + 5*w - 8]', '[1764, 42, -w^3 - 4*w^2 + 5*w + 8]', '[1774, 1774, -9*w^3 + 2*w^2 + 36*w - 11]', '[1774, 1774, -9*w^3 + 3*w^2 + 36*w - 14]', '[1774, 1774, -7*w^3 + w^2 + 24*w - 2]', '[1774, 1774, -9*w^3 + 2*w^2 + 32*w - 7]', '[1775, 355, -2*w^2 + 3*w + 8]', '[1775, 355, -3*w^3 - 3*w^2 + 8*w + 9]', '[1775, 355, -3*w^2 + 2*w + 12]', '[1775, 355, -3*w^3 - 4*w^2 + 9*w + 13]', '[1775, 355, -3*w^2 - 2*w + 12]', '[1775, 355, 3*w^3 - 4*w^2 - 9*w + 13]', '[1775, 355, -3*w^3 + 3*w^2 + 8*w - 9]', '[1775, 355, 2*w^2 + 3*w - 8]', '[1777, 1777, 4*w^3 - 18*w - 3]', '[1777, 1777, -2*w^3 + 12*w + 3]', '[1777, 1777, 2*w^3 - 12*w + 3]', '[1777, 1777, -4*w^3 + 18*w - 3]', '[1800, 30, 5*w^3 - w^2 - 19*w - 1]', '[1800, 30, 5*w^3 + w^2 - 19*w + 1]', '[1801, 1801, -5*w^3 + w^2 + 15*w - 4]', '[1801, 1801, 5*w^3 + w^2 - 15*w]', '[1801, 1801, -5*w^3 + w^2 + 15*w]', '[1801, 1801, 5*w^3 + w^2 - 15*w - 4]', '[1822, 1822, w^3 - 2*w - 7]', '[1822, 1822, -7*w^3 + 2*w^2 + 28*w - 7]', '[1822, 1822, -9*w^3 + 4*w^2 + 30*w - 9]', '[1822, 1822, 7*w^3 - 6*w^2 - 24*w + 15]', '[1823, 1823, 3*w^3 + 2*w^2 - 11*w + 1]', '[1823, 1823, 2*w^3 - 3*w^2 - 9*w + 1]', '[1823, 1823, -2*w^3 - 3*w^2 + 9*w + 1]', '[1823, 1823, -3*w^3 + 2*w^2 + 11*w + 1]', '[1825, 365, 8*w^3 + 4*w^2 - 26*w - 9]', '[1825, 365, 6*w^3 - 20*w + 1]', '[1825, 365, -6*w^3 + 4*w^2 + 16*w - 7]', '[1825, 365, -4*w^3 + 10*w - 1]', '[1825, 365, -4*w^3 + 10*w + 1]', '[1825, 365, -6*w^3 - 4*w^2 + 16*w + 7]', '[1825, 365, 8*w^3 - 4*w^2 - 26*w + 9]', '[1825, 365, 6*w^3 - 20*w - 1]', '[1828, 914, -6*w^3 - 3*w^2 + 18*w + 7]', '[1828, 914, -6*w^3 - 3*w^2 + 18*w + 5]', '[1828, 914, -6*w^3 + 3*w^2 + 18*w - 5]', '[1828, 914, -6*w^3 + 3*w^2 + 18*w - 7]', '[1847, 1847, -9*w^3 + 5*w^2 + 33*w - 14]', '[1847, 1847, -3*w^3 + 6*w^2 + 9*w - 19]', '[1847, 1847, -10*w^3 + 7*w^2 + 36*w - 26]', '[1847, 1847, 6*w^3 - 2*w^2 - 20*w + 1]', '[1849, 43, -w^3 + 5*w - 7]', '[1849, 43, w^3 - 5*w - 7]', '[1863, 69, 3*w^3 - 3*w^2 - 12*w + 3]', '[1863, 69, 3*w^2 - 3*w - 9]', '[1863, 69, -3*w^2 - 3*w + 9]', '[1863, 69, -3*w^3 - 3*w^2 + 12*w + 3]', '[1871, 1871, 4*w^3 + w^2 - 15*w + 3]', '[1871, 1871, -w^3 + w^2 - 7]', '[1871, 1871, w^3 + w^2 - 7]', '[1871, 1871, -4*w^3 + w^2 + 15*w + 3]', '[1873, 1873, -3*w^3 - 5*w^2 + 11*w + 8]', '[1873, 1873, 4*w^3 + 2*w^2 - 19*w - 8]', '[1873, 1873, 8*w + 3]', '[1873, 1873, 3*w^3 - 2*w^2 - 16*w]', '[1874, 1874, 7*w^3 - 5*w^2 - 28*w + 20]', '[1874, 1874, 2*w^3 - 2*w^2 - 11*w + 9]', '[1874, 1874, 5*w - 7]', '[1874, 1874, -w^3 + 3*w^2 + 6*w - 14]', '[1912, 478, 5*w^3 - w^2 - 21*w + 3]', '[1912, 478, -w^3 + w^2 + 3*w - 9]', '[1912, 478, w^3 + w^2 - 3*w - 9]', '[1912, 478, 5*w^3 + w^2 - 21*w - 3]', '[1916, 958, -3*w^3 - 2*w^2 + 11*w - 2]', '[1916, 958, w^3 - 2*w^2 - w + 10]', '[1916, 958, w^3 + 2*w^2 - w - 10]', '[1916, 958, -3*w^3 + 2*w^2 + 11*w + 2]', '[1922, 62, 3*w^3 - 4*w^2 - 8*w + 11]', '[1922, 62, 5*w^3 - 4*w^2 - 16*w + 13]', '[1928, 482, -5*w^3 + w^2 + 17*w + 3]', '[1928, 482, 7*w^3 - 3*w^2 - 27*w + 7]', '[1928, 482, -9*w^3 + 5*w^2 + 29*w - 9]', '[1928, 482, -11*w^3 + 7*w^2 + 39*w - 19]', '[1936, 22, 4*w^3 - 10*w]', '[1936, 22, 6*w^3 - 20*w]', '[1966, 1966, -7*w^3 + w^2 + 30*w - 10]', '[1966, 1966, -4*w^2 + w + 9]', '[1966, 1966, 6*w^3 - 2*w^2 - 25*w + 15]', '[1966, 1966, -7*w^3 + w^2 + 24*w - 4]', '[1993, 1993, -w^3 + w^2 + 4*w - 9]', '[1993, 1993, 5*w^3 - 21*w - 1]', '[1993, 1993, 5*w^3 - 21*w + 1]', '[1993, 1993, w^3 + w^2 - 4*w - 9]', '[2012, 1006, w^2 - 4*w - 7]', '[2012, 1006, -4*w^3 + w^2 + 16*w + 3]', '[2012, 1006, -4*w^3 - w^2 + 16*w - 3]', '[2012, 1006, -w^2 - 4*w + 7]', '[2017, 2017, w^3 + 4*w^2 - 3*w - 7]', '[2017, 2017, -w^3 + 4*w^2 + 3*w - 9]', '[2017, 2017, w^3 + 4*w^2 - 3*w - 9]', '[2017, 2017, -w^3 + 4*w^2 + 3*w - 7]', '[2018, 2018, 2*w^3 - 2*w^2 - 11*w + 13]', '[2018, 2018, w^3 + w^2 - 8]', '[2018, 2018, 5*w^3 - 3*w^2 - 22*w + 14]', '[2018, 2018, 4*w^3 - 4*w^2 - 17*w + 15]', '[2025, 15, 3*w^3 - 15*w + 3]', '[2025, 15, 3*w^3 - 15*w - 3]', '[2039, 2039, -5*w^3 - 2*w^2 + 18*w + 2]', '[2039, 2039, 6*w^3 - 2*w^2 - 22*w + 3]', '[2039, 2039, -6*w^3 - 2*w^2 + 22*w + 3]', '[2039, 2039, 5*w^3 - 2*w^2 - 18*w + 2]', '[2048, 8, 4*w^3 - 4*w^2 - 12*w + 12]', '[2062, 2062, -7*w^3 + 2*w^2 + 30*w - 17]', '[2062, 2062, -7*w^3 + 24*w + 1]', '[2062, 2062, 7*w^3 - 24*w + 1]', '[2062, 2062, -w^3 - 4*w^2 + 4*w + 9]', '[2063, 2063, 3*w^3 + 2*w^2 - 7*w - 7]', '[2063, 2063, -5*w^3 + 2*w^2 + 17*w - 1]', '[2063, 2063, 5*w^3 + 2*w^2 - 17*w - 1]', '[2063, 2063, -3*w^3 + 2*w^2 + 7*w - 7]', '[2066, 2066, -9*w^3 + 4*w^2 + 38*w - 21]', '[2066, 2066, w^3 + 3*w^2 - 8*w - 8]', '[2066, 2066, -w^3 + 3*w^2 + 8*w - 8]', '[2066, 2066, -3*w^3 - 2*w^2 + 8*w + 9]', '[2087, 2087, 2*w^3 + 3*w^2 - 3*w - 7]', '[2087, 2087, -5*w^3 - 3*w^2 + 18*w + 5]', '[2087, 2087, 5*w^3 - 3*w^2 - 18*w + 5]', '[2087, 2087, -2*w^3 + 3*w^2 + 3*w - 7]', '[2089, 2089, -8*w^3 + 2*w^2 + 26*w - 1]', '[2089, 2089, -7*w^3 - 2*w^2 + 29*w + 3]', '[2089, 2089, 7*w^3 - 2*w^2 - 29*w + 3]', '[2089, 2089, 11*w^3 - 5*w^2 - 43*w + 18]', '[2104, 526, -5*w^3 - w^2 + 15*w + 1]', '[2104, 526, -5*w^3 + w^2 + 15*w - 3]', '[2104, 526, -5*w^3 - w^2 + 15*w + 3]', '[2104, 526, -5*w^3 + w^2 + 15*w - 1]', '[2111, 2111, -5*w^3 + 2*w^2 + 20*w - 2]', '[2111, 2111, 2*w^2 + 5*w - 6]', '[2111, 2111, 2*w^2 - 5*w - 6]', '[2111, 2111, 5*w^3 + 2*w^2 - 20*w - 2]', '[2113, 2113, 4*w^2 + w - 8]', '[2113, 2113, w^3 + 4*w^2 - 4*w - 8]', '[2113, 2113, -w^3 + 4*w^2 + 4*w - 8]', '[2113, 2113, 4*w^2 - w - 8]', '[2116, 46, -w^3 + 4*w^2 + 3*w - 8]', '[2116, 46, w^3 + 4*w^2 - 3*w - 8]', '[2116, 46, -w^2 - 5]', '[2116, 46, w^2 - 9]', '[2116, 46, 5*w^3 - 15*w - 2]', '[2116, 46, 5*w^3 - 15*w + 2]', '[2116, 1058, 2*w^3 + w^2 - 12*w - 3]', '[2116, 1058, 4*w^3 + w^2 - 18*w - 1]', '[2116, 1058, 4*w^3 - w^2 - 18*w + 1]', '[2116, 1058, 2*w^3 - w^2 - 12*w + 3]', '[2137, 2137, -3*w^3 + 2*w^2 + 13*w - 13]', '[2137, 2137, 5*w^3 - w^2 - 22*w + 7]', '[2137, 2137, -6*w^3 + 2*w^2 + 19*w - 4]', '[2137, 2137, -4*w^3 + 5*w^2 + 14*w - 14]', '[2151, 717, 5*w^3 + 3*w^2 - 16*w - 3]', '[2151, 717, -9*w^3 + 4*w^2 + 33*w - 11]', '[2151, 717, -8*w^3 + 3*w^2 + 28*w - 6]', '[2151, 717, 3*w^3 - 5*w^2 - 9*w + 16]', '[2161, 2161, -3*w^3 - w^2 + 15*w + 4]', '[2161, 2161, 3*w^3 - w^2 - 15*w]', '[2161, 2161, 3*w^3 + w^2 - 15*w]', '[2161, 2161, 3*w^3 - w^2 - 15*w + 4]', '[2162, 2162, -5*w^3 + 3*w^2 + 16*w - 14]', '[2162, 2162, -6*w^3 + w^2 + 19*w + 6]', '[2162, 2162, 6*w^3 + 5*w^2 - 17*w - 6]', '[2162, 2162, 6*w^3 - 21*w - 7]', '[2162, 2162, w^3 - 3*w^2 - 6*w + 12]', '[2162, 2162, -4*w^3 - 2*w^2 + 15*w + 1]', '[2162, 2162, -7*w^3 + 5*w^2 + 18*w - 2]', '[2162, 2162, 5*w^3 + w^2 - 18*w + 2]', '[2162, 2162, 5*w^3 - w^2 - 18*w - 2]', '[2162, 2162, -7*w^3 - 5*w^2 + 18*w + 2]', '[2162, 2162, 4*w^3 - 2*w^2 - 15*w + 1]', '[2162, 2162, w^3 + 3*w^2 - 6*w - 12]', '[2162, 2162, -6*w^3 + 21*w - 7]', '[2162, 2162, 6*w^3 - 5*w^2 - 17*w + 6]', '[2162, 2162, -6*w^3 - w^2 + 19*w - 6]', '[2162, 2162, -5*w^3 - 3*w^2 + 16*w + 14]', '[2169, 723, -6*w^3 - 2*w^2 + 18*w + 7]', '[2169, 723, 6*w^3 + 2*w^2 - 18*w - 1]', '[2169, 723, -6*w^3 + 2*w^2 + 18*w - 1]', '[2169, 723, -6*w^3 + 2*w^2 + 18*w - 7]', '[2178, 66, w^3 - w^2 - 8*w + 8]', '[2178, 66, 4*w^3 - 4*w^2 - 17*w + 17]', '[2206, 2206, 6*w^3 - 6*w^2 - 19*w + 13]', '[2206, 2206, -7*w^3 + w^2 + 28*w - 4]', '[2206, 2206, -11*w^3 + 5*w^2 + 38*w - 14]', '[2206, 2206, w - 7]', '[2207, 2207, 5*w^3 + 2*w^2 - 21*w - 1]', '[2207, 2207, -w^3 + 4*w^2 - 10]', '[2207, 2207, -8*w^3 + 5*w^2 + 27*w - 17]', '[2207, 2207, -10*w^3 + 3*w^2 + 38*w - 16]', '[2209, 47, 5*w^3 - w^2 - 15*w + 2]', '[2209, 47, 5*w^3 + w^2 - 15*w - 2]', '[2209, 47, 4*w^2 - 7]', '[2209, 47, 4*w^2 - 9]', '[2209, 47, -w^3 + 3*w - 7]', '[2209, 47, w^3 - 3*w - 7]', '[2209, 2209, -2*w^3 - w^2 + 12*w]', '[2209, 2209, 4*w^3 - w^2 - 18*w + 4]', '[2209, 2209, -4*w^3 - w^2 + 18*w + 4]', '[2209, 2209, 2*w^3 - w^2 - 12*w]', '[2231, 2231, 3*w^3 - 2*w^2 - 13*w - 1]', '[2231, 2231, -3*w^3 - w^2 + 7*w + 10]', '[2231, 2231, -3*w^3 - 3*w^2 + 11*w + 2]', '[2231, 2231, -5*w^3 - 2*w^2 + 15*w + 11]', '[2231, 2231, -w^3 + 3*w^2 + w - 10]', '[2231, 2231, 5*w^3 - 2*w^2 - 15*w - 3]', '[2231, 2231, w^3 + 2*w^2 - 7*w - 9]', '[2231, 2231, 5*w^3 - w^2 - 17*w - 6]', '[2231, 2231, -5*w^3 - w^2 + 17*w - 6]', '[2231, 2231, w^3 - 2*w^2 - 7*w + 9]', '[2231, 2231, -5*w^3 - 2*w^2 + 15*w - 3]', '[2231, 2231, -w^3 - 3*w^2 + w + 10]', '[2231, 2231, -5*w^3 + 2*w^2 + 15*w - 11]', '[2231, 2231, 3*w^3 - 3*w^2 - 11*w + 2]', '[2231, 2231, -3*w^3 + w^2 + 7*w - 10]', '[2231, 2231, -3*w^3 - 2*w^2 + 13*w - 1]', '[2254, 322, 6*w^3 + 2*w^2 - 19*w - 5]', '[2254, 322, -6*w^3 - 2*w^2 + 17*w - 1]', '[2254, 322, -7*w^3 + 2*w^2 + 22*w - 9]', '[2254, 322, 5*w^3 - 2*w^2 - 14*w + 3]', '[2254, 322, -7*w^3 - 2*w^2 + 22*w + 9]', '[2254, 322, 5*w^3 + 2*w^2 - 14*w - 3]', '[2254, 322, 6*w^3 - 2*w^2 - 19*w + 5]', '[2254, 322, -6*w^3 + 2*w^2 + 17*w + 1]', '[2258, 2258, 2*w^2 + 3*w - 11]', '[2258, 2258, 3*w^3 - 3*w^2 - 14*w + 12]', '[2258, 2258, -w^3 + w^2 + 8*w - 10]', '[2258, 2258, 6*w^3 - 4*w^2 - 25*w + 17]', '[2272, 284, 4*w^3 - 18*w + 2]', '[2272, 284, -2*w^3 + 12*w - 2]', '[2272, 284, 2*w^3 - 12*w - 2]', '[2272, 284, 4*w^3 - 18*w - 2]', '[2281, 2281, 9*w^3 - 4*w^2 - 34*w + 20]', '[2281, 2281, 4*w^3 + 2*w^2 - 20*w + 1]', '[2281, 2281, -9*w^3 + 3*w^2 + 31*w - 12]', '[2281, 2281, -5*w^2 + 3*w + 11]', '[2300, 230, 4*w^3 + 3*w^2 - 12*w - 1]', '[2300, 230, 4*w^3 + w^2 - 16*w + 5]', '[2300, 230, 4*w^3 + 3*w^2 - 12*w - 11]', '[2300, 230, w^2 + 4*w - 9]', '[2300, 230, 4*w^3 - 3*w^2 - 12*w + 11]', '[2300, 230, -w^2 + 4*w + 9]', '[2300, 230, -4*w^3 + 3*w^2 + 12*w - 1]', '[2300, 230, -4*w^3 + w^2 + 16*w + 5]', '[2302, 2302, 2*w^3 - w^2 - 9*w + 10]', '[2302, 2302, -6*w^3 + w^2 + 25*w - 6]', '[2302, 2302, -8*w^3 + 3*w^2 + 27*w - 8]', '[2302, 2302, -4*w^3 + 5*w^2 + 13*w - 12]', '[2303, 329, 3*w^3 + 3*w^2 - 7*w - 8]', '[2303, 329, 4*w^3 - w^2 - 16*w - 4]', '[2303, 329, -5*w^3 - 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2*w - 13]', '[2817, 939, -w^3 + 5*w^2 + 2*w - 13]', '[2817, 939, 2*w^3 + 5*w^2 - 7*w - 7]', '[2833, 2833, -8*w^3 + 2*w^2 + 27*w - 4]', '[2833, 2833, -w^3 + 7*w - 9]', '[2833, 2833, -4*w^3 + 5*w^2 + 14*w - 12]', '[2833, 2833, 9*w^3 - 3*w^2 - 36*w + 13]', '[2857, 2857, -7*w^3 + 2*w^2 + 30*w - 12]', '[2857, 2857, -4*w^3 + 2*w^2 + 18*w - 15]', '[2857, 2857, -3*w^3 + 5*w^2 + 11*w - 14]', '[2857, 2857, 6*w^3 - w^2 - 19*w + 1]', '[2872, 718, w^3 + w^2 - w - 11]', '[2872, 718, -7*w^3 + 3*w^2 + 29*w - 11]', '[2872, 718, 7*w^3 - 3*w^2 - 21*w + 3]', '[2872, 718, -9*w^3 + 7*w^2 + 33*w - 21]', '[2876, 1438, -3*w^3 - 4*w^2 + 7*w + 10]', '[2876, 1438, 6*w^3 - 5*w^2 - 20*w + 17]', '[2876, 1438, -5*w^3 - 4*w^2 + 17*w + 6]', '[2876, 1438, -3*w^3 + 4*w^2 + 7*w - 10]', '[2878, 2878, -6*w^3 + w^2 + 19*w - 4]', '[2878, 2878, 5*w^3 + w^2 - 14*w]', '[2878, 2878, -5*w^2 + w + 14]', '[2878, 2878, 6*w^3 + w^2 - 19*w - 4]', '[2879, 2879, w^3 + 2*w^2 - 8]', '[2879, 2879, 4*w^3 + 2*w^2 - 15*w]', '[2879, 2879, -4*w^3 + 2*w^2 + 15*w]', '[2879, 2879, -w^3 + 2*w^2 - 8]', '[2888, 38, -w^3 + 3*w^2 + w - 11]', '[2888, 38, -9*w^3 + 7*w^2 + 29*w - 19]', '[2903, 2903, 4*w^3 + 2*w^2 - 14*w + 1]', '[2903, 2903, -2*w^3 + 2*w^2 + 4*w - 9]', '[2903, 2903, 2*w^3 + 2*w^2 - 4*w - 9]', '[2903, 2903, -4*w^3 + 2*w^2 + 14*w + 1]', '[2916, 18, 3*w^3 - 15*w]', '[2927, 2927, -w^3 - 3*w^2 + 9*w + 8]', '[2927, 2927, 5*w^3 + 3*w^2 - 21*w - 4]', '[2927, 2927, -5*w^3 + 3*w^2 + 21*w - 4]', '[2927, 2927, w^3 - 3*w^2 - 9*w + 8]', '[2944, 92, 6*w^3 + 2*w^2 - 18*w - 2]', '[2944, 92, -6*w^3 - 2*w^2 + 18*w + 6]', '[2944, 92, 6*w^3 - 2*w^2 - 18*w + 6]', '[2944, 92, -6*w^3 + 2*w^2 + 18*w - 2]', '[2953, 2953, w^3 - w^2 - 10*w - 1]', '[2953, 2953, -9*w^3 + 4*w^2 + 30*w - 10]', '[2953, 2953, 6*w^3 - w^2 - 25*w + 5]', '[2953, 2953, -w^3 - w^2 + 10*w - 1]', '[2972, 1486, 3*w^3 + 2*w^2 - 7*w - 8]', '[2972, 1486, -5*w^3 + 2*w^2 + 17*w]', '[2972, 1486, -5*w^3 - 2*w^2 + 17*w]', '[2972, 1486, 3*w^3 - 2*w^2 - 7*w + 8]', '[2974, 2974, -2*w^3 - w^2 + 13*w - 2]', '[2974, 2974, -6*w^3 + 7*w^2 + 21*w - 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1]', '[5326, 5326, 6*w^3 - w^2 - 27*w + 16]', '[5326, 5326, -12*w^3 + 3*w^2 + 49*w - 18]', '[5326, 5326, -10*w^3 + w^2 + 35*w - 4]', '[5326, 5326, 5*w^2 - w - 10]', '[5329, 73, -w^3 + 5*w^2 + 3*w - 10]', '[5329, 73, w^3 + 5*w^2 - 3*w - 10]', '[5329, 73, 3*w^3 - 16*w]', '[5329, 73, -3*w^2 - 4]', '[5329, 73, 7*w^3 - 21*w + 5]', '[5329, 73, 7*w^3 - 21*w - 5]', '[5329, 5329, -6*w^3 - w^2 + 17*w - 1]', '[5329, 5329, 7*w^3 - w^2 - 22*w + 5]', '[5329, 5329, -7*w^3 - w^2 + 22*w + 5]', '[5329, 5329, 6*w^3 - w^2 - 17*w - 1]', '[5344, 668, -6*w^3 + 2*w^2 + 16*w]', '[5344, 668, -2*w^3 + 4*w - 10]', '[5344, 668, 2*w^3 - 4*w - 10]', '[5344, 668, 6*w^3 + 2*w^2 - 16*w]', '[5351, 5351, 3*w^2 - 5*w - 9]', '[5351, 5351, 5*w^3 - 3*w^2 - 20*w + 3]', '[5351, 5351, -5*w^3 - 3*w^2 + 20*w + 3]', '[5351, 5351, 3*w^2 + 5*w - 9]', '[5374, 5374, -6*w^3 + w^2 + 17*w - 4]', '[5374, 5374, 7*w^3 + w^2 - 22*w]', '[5374, 5374, -7*w^3 + w^2 + 22*w]', '[5374, 5374, 6*w^3 + w^2 - 17*w - 4]', '[5378, 5378, 3*w^3 + w^2 - 6*w - 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w^2 - 32*w - 4]', '[9729, 3243, 6*w^3 + w^2 - 27*w + 1]', '[9729, 3243, 8*w^3 + 2*w^2 - 25*w - 4]', '[9729, 3243, -10*w^3 - 3*w^2 + 29*w - 3]', '[9729, 3243, -11*w^3 - 4*w^2 + 37*w + 11]', '[9729, 3243, 5*w^3 - 3*w^2 - 10*w - 9]', '[9729, 3243, -3*w^3 - 7*w^2 + 6*w + 11]', '[9729, 3243, 13*w^3 + 5*w^2 - 44*w - 19]', '[9742, 9742, -6*w^3 + 8*w^2 + 19*w - 21]', '[9742, 9742, -11*w^3 + 5*w^2 + 36*w - 14]', '[9742, 9742, -5*w^3 - w^2 + 24*w - 2]', '[9742, 9742, 6*w^3 - 4*w^2 - 23*w + 21]', '[9743, 9743, -6*w^3 - 3*w^2 + 21*w + 1]', '[9743, 9743, -3*w^3 + 3*w^2 + 6*w - 11]', '[9743, 9743, 3*w^3 + 3*w^2 - 6*w - 11]', '[9743, 9743, 6*w^3 - 3*w^2 - 21*w + 1]', '[9767, 9767, -2*w^3 + w^2 + w - 9]', '[9767, 9767, 7*w^3 + w^2 - 26*w + 5]', '[9767, 9767, -7*w^3 + w^2 + 26*w + 5]', '[9767, 9767, 2*w^3 + w^2 - w - 9]', '[9769, 9769, 2*w^3 - 6*w^2 - 6*w + 13]', '[9769, 9769, 2*w^3 + 6*w^2 - 6*w - 11]', '[9769, 9769, -2*w^3 + 6*w^2 + 6*w - 11]', '[9769, 9769, 2*w^3 + 6*w^2 - 6*w - 13]', '[9784, 2446, -3*w^3 - w^2 + 9*w - 9]', '[9784, 2446, w^3 + 3*w^2 - 13*w - 3]', '[9784, 2446, -11*w^3 + 7*w^2 + 31*w - 15]', '[9784, 2446, -3*w^3 + w^2 + 9*w + 9]', '[9788, 4894, -5*w^3 + 4*w^2 + 23*w - 18]', '[9788, 4894, 6*w^3 - 5*w^2 - 26*w + 21]', '[9788, 4894, -2*w^3 + 3*w^2 + 12*w - 17]', '[9788, 4894, w^3 - 2*w^2 - 9*w + 14]', '[9791, 9791, -8*w^3 + 33*w - 10]', '[9791, 9791, 10*w^3 - w^2 - 40*w + 12]', '[9791, 9791, 9*w^3 - 35*w + 7]', '[9791, 9791, 7*w^3 + w^2 - 28*w + 5]', '[9800, 70, -3*w^3 + 3*w^2 + 7*w - 15]', '[9800, 70, -3*w^3 - 5*w^2 + 15*w + 17]', '[9800, 70, -3*w^3 + 5*w^2 + 15*w - 17]', '[9800, 70, -3*w^3 - 3*w^2 + 7*w + 15]', '[9801, 33, 6*w^3 - 15*w]', '[9801, 33, 9*w^3 - 30*w]', '[9817, 9817, -7*w^3 - 2*w^2 + 30*w + 6]', '[9817, 9817, 2*w^3 - 2*w^2 - 15*w + 2]', '[9817, 9817, -2*w^3 - 2*w^2 + 15*w + 2]', '[9817, 9817, 7*w^3 - 2*w^2 - 30*w + 6]', '[9838, 9838, -8*w^3 + 2*w^2 + 25*w - 5]', '[9838, 9838, -7*w^3 + 2*w^2 + 20*w - 3]', '[9838, 9838, 7*w^3 + 2*w^2 - 20*w - 3]', '[9838, 9838, 8*w^3 + 2*w^2 - 25*w - 5]', '[9839, 9839, -w^3 - 2*w^2 + 9*w + 13]', '[9839, 9839, 5*w^3 + 2*w^2 - 21*w + 5]', '[9839, 9839, -5*w^3 + 2*w^2 + 21*w + 5]', '[9839, 9839, w^3 - 2*w^2 - 9*w + 13]', '[9886, 9886, 7*w^3 - 9*w^2 - 20*w + 20]', '[9886, 9886, -6*w^3 - 2*w^2 + 27*w + 3]', '[9886, 9886, -16*w^3 + 8*w^2 + 55*w - 25]', '[9886, 9886, -5*w^3 + 3*w^2 + 18*w - 18]', '[9887, 9887, w^3 + 5*w^2 + w - 14]', '[9887, 9887, 5*w^3 - 5*w^2 - 19*w + 6]', '[9887, 9887, -5*w^3 - 5*w^2 + 19*w + 6]', '[9887, 9887, -w^3 + 5*w^2 - w - 14]', '[9892, 4946, -9*w^3 + 6*w^2 + 35*w - 28]', '[9892, 4946, -7*w^3 + 8*w^2 + 25*w - 24]', '[9892, 4946, -5*w^3 + 4*w^2 + 21*w - 22]', '[9892, 4946, -5*w^3 + 8*w^2 + 17*w - 24]', '[9913, 9913, 7*w^3 - 2*w^2 - 18*w - 2]', '[9913, 9913, 3*w^3 - 18*w - 4]', '[9913, 9913, -2*w^3 + 3*w + 12]', '[9913, 9913, -2*w^3 - 6*w^2 + 7*w + 14]', '[9913, 9913, 10*w^3 - 2*w^2 - 33*w + 10]', '[9913, 9913, 5*w^3 - 18*w + 12]', '[9913, 9913, -w^3 + 6*w^2 + 2*w - 10]', '[9913, 9913, -6*w^3 + 27*w - 4]', '[9913, 9913, -6*w^3 + 27*w + 4]', '[9913, 9913, w^3 + 6*w^2 - 2*w - 10]', '[9913, 9913, -5*w^3 + 18*w + 12]', '[9913, 9913, 10*w^3 + 2*w^2 - 33*w - 10]', '[9913, 9913, -2*w^3 + 6*w^2 + 7*w - 14]', '[9913, 9913, -2*w^3 + 3*w - 12]', '[9913, 9913, -3*w^3 + 18*w - 4]', '[9913, 9913, -7*w^3 - 2*w^2 + 18*w - 2]', '[9927, 3309, 4*w^3 + 3*w^2 - 17*w + 3]', '[9927, 3309, w^3 + 3*w^2 - 8*w - 15]', '[9927, 3309, -w^3 + 3*w^2 + 8*w - 15]', '[9927, 3309, -4*w^3 + 3*w^2 + 17*w + 3]', '[9934, 9934, -2*w^3 - 6*w^2 + 7*w + 11]', '[9934, 9934, -7*w^3 + 2*w^2 + 30*w - 19]', '[9934, 9934, w^3 - 6*w^2 - 2*w + 13]', '[9934, 9934, 2*w^3 - 6*w^2 - 7*w + 11]', '[9938, 9938, 2*w^3 - 4*w^2 - 3*w + 13]', '[9938, 9938, 5*w^3 - 4*w^2 - 18*w + 3]', '[9938, 9938, -5*w^3 - 4*w^2 + 18*w + 3]', '[9938, 9938, -10*w^3 + 8*w^2 + 31*w - 21]', '[9952, 1244, 8*w^3 - 2*w^2 - 34*w + 20]', '[9952, 1244, -2*w^3 - 6*w^2 + 8*w + 12]', '[9952, 1244, 2*w^3 - 6*w^2 - 8*w + 12]', '[9952, 1244, 6*w^2 - 2*w - 12]', '[9959, 9959, 6*w^3 + 3*w^2 - 24*w - 2]', '[9959, 9959, 10*w^3 + 2*w^2 - 35*w]', '[9959, 9959, 10*w^3 - 37*w + 6]', '[9959, 9959, 2*w^3 - 6*w^2 - 4*w + 19]', '[9959, 9959, 3*w^3 - 2*w^2 - 6*w + 12]', '[9959, 9959, 5*w^3 - 4*w^2 - 14*w + 14]', '[9959, 9959, -4*w^3 + 6*w^2 + 18*w - 21]', '[9959, 9959, -8*w^3 + 5*w^2 + 30*w - 10]', '[9959, 9959, 8*w^3 + 5*w^2 - 30*w - 10]', '[9959, 9959, -4*w^3 - 6*w^2 + 18*w + 21]', '[9959, 9959, 5*w^3 + 4*w^2 - 14*w - 14]', '[9959, 9959, 3*w^3 + 2*w^2 - 6*w - 12]', '[9959, 9959, 2*w^3 + 6*w^2 - 4*w - 19]', '[9959, 9959, -10*w^3 + 37*w + 6]', '[9959, 9959, -10*w^3 + 2*w^2 + 35*w]', '[9959, 9959, -6*w^3 + 3*w^2 + 24*w - 2]', '[9986, 9986, -4*w^3 + 8*w^2 + 13*w - 31]', '[9986, 9986, 6*w^3 - 4*w^2 - 17*w - 3]', '[9986, 9986, 12*w^3 - 10*w^2 - 41*w + 21]', '[9986, 9986, -8*w^3 - 3*w^2 + 31*w + 4]', '[9992, 2498, 7*w^3 - w^2 - 25*w - 7]', '[9992, 2498, -3*w^3 + w^2 + 5*w - 11]', '[9992, 2498, -3*w^3 - w^2 + 5*w + 11]', '[9992, 2498, 7*w^3 + w^2 - 25*w + 7]', '[10000, 10, 10]', '[10000, 50, 2*w^3 - 6*w^2 - 6*w + 12]', '[10000, 50, -2*w^3 - 6*w^2 + 6*w + 12]'], 'label': '4.4.2304.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w^3 - 4*w + 1]', '[9, 3, -w^2 + 2]', '[23, 23, w^3 - w^2 - 4*w + 1]', '[23, 23, w^2 - w - 3]', '[23, 23, -w^2 - w + 3]', '[23, 23, -w^3 - w^2 + 4*w + 1]', '[25, 5, w^3 - 5*w + 1]', '[25, 5, w^3 - 5*w - 1]', '[47, 47, -3*w^3 + 2*w^2 + 12*w - 8]', '[47, 47, -2*w^3 - w^2 + 6*w]', '[47, 47, 2*w^3 - w^2 - 6*w]', '[47, 47, w^2 + w - 5]', '[49, 7, 2*w^3 - 6*w - 1]', '[49, 7, -2*w^3 + 6*w - 1]', '[71, 71, 2*w^3 - w^2 - 7*w + 1]', '[71, 71, 3*w^3 - w^2 - 11*w + 2]', '[71, 71, 4*w^3 - 2*w^2 - 14*w + 5]', '[71, 71, -3*w^3 + 2*w^2 + 10*w - 4]', '[73, 73, -w^3 - 2*w^2 + 3*w + 5]', '[73, 73, -w^3 + 2*w^2 + 3*w - 3]', '[73, 73, w^3 + 2*w^2 - 3*w - 3]', '[73, 73, w^3 - 2*w^2 - 3*w + 5]', '[97, 97, 2*w^2 + w - 4]', '[97, 97, w^3 + 2*w^2 - 4*w - 4]', '[97, 97, -w^3 + 2*w^2 + 4*w - 4]', '[97, 97, 2*w^2 - w - 4]', '[121, 11, 2*w^3 - 5*w]', '[121, 11, 3*w^3 - 10*w]', '[167, 167, -2*w^3 + 3*w^2 + 5*w - 7]', '[167, 167, -2*w^3 - w^2 + 10*w - 2]', '[167, 167, 3*w^3 - 11*w + 3]', '[167, 167, 3*w^3 - 2*w^2 - 10*w + 8]', '[169, 13, 2*w^3 - 9*w]', '[169, 13, w^3 - 6*w]', '[191, 191, w^2 - 2*w - 4]', '[191, 191, 2*w^3 + w^2 - 8*w]', '[191, 191, -2*w^3 + w^2 + 8*w]', '[191, 191, w^2 + 2*w - 4]', '[193, 193, -w - 4]', '[193, 193, -w^3 + 4*w - 4]', '[193, 193, w^3 - 4*w - 4]', '[193, 193, w - 4]', '[239, 239, 4*w^3 - 3*w^2 - 16*w + 12]', '[239, 239, -5*w^3 + w^2 + 19*w - 6]', '[239, 239, 4*w^3 - 16*w + 3]', '[239, 239, w^3 - 2*w^2 - 5*w + 9]', '[241, 241, 2*w^3 + w^2 - 10*w - 4]', '[241, 241, 2*w^3 - w^2 - 10*w]', '[241, 241, -2*w^3 - w^2 + 10*w]', '[241, 241, -2*w^3 + w^2 + 10*w - 4]', '[263, 263, -2*w^3 + 2*w^2 + 6*w - 7]', '[263, 263, -4*w^3 + 3*w^2 + 13*w - 9]', '[263, 263, -w^3 + 2*w^2 + 2*w - 6]', '[263, 263, -3*w^3 + 3*w^2 + 9*w - 8]', '[289, 17, 3*w^3 - 9*w + 1]', '[289, 17, -3*w^3 + 9*w + 1]', '[311, 311, 2*w^3 + w^2 - 8*w + 2]', '[311, 311, -w^2 - 2*w + 6]', '[311, 311, 3*w^3 - 2*w^2 - 13*w + 9]', '[311, 311, -2*w^3 + w^2 + 8*w + 2]', '[313, 313, -w^3 - w^2 + 4*w - 3]', '[313, 313, w^2 - w - 7]', '[313, 313, w^2 + w - 7]', '[313, 313, w^3 - w^2 - 4*w - 3]', '[337, 337, 3*w^3 - 8*w - 2]', '[337, 337, -4*w^3 + 13*w - 2]', '[337, 337, 4*w^3 - 13*w - 2]', '[337, 337, 3*w^3 - 8*w + 2]', '[359, 359, w^3 + 2*w^2 - 6*w - 6]', '[359, 359, -2*w^3 + 2*w^2 + 9*w - 2]', '[359, 359, 2*w^3 + 2*w^2 - 9*w - 2]', '[359, 359, -w^3 + 2*w^2 + 6*w - 6]', '[361, 19, -w^3 + 5*w - 5]', '[361, 19, w^3 - 5*w - 5]', '[383, 383, -w^3 + w^2 - 3]', '[383, 383, 4*w^3 + w^2 - 15*w - 1]', '[383, 383, -4*w^3 + w^2 + 15*w - 1]', '[383, 383, w^3 + w^2 - 3]', '[409, 409, 3*w^3 + w^2 - 8*w - 1]', '[409, 409, 4*w^3 - w^2 - 13*w + 3]', '[409, 409, 4*w^3 + w^2 - 13*w - 3]', '[409, 409, -3*w^3 + w^2 + 8*w - 1]', '[431, 431, -3*w^3 - 2*w^2 + 11*w + 3]', '[431, 431, -w^3 + 2*w^2 + w - 5]', '[431, 431, w^3 + 2*w^2 - w - 5]', '[431, 431, 3*w^3 - 2*w^2 - 11*w + 3]', '[433, 433, 3*w^3 - 13*w + 1]', '[433, 433, w^3 + w^2 - 4*w - 7]', '[433, 433, -w^3 + w^2 + 4*w - 7]', '[433, 433, 3*w^3 - 13*w - 1]', '[457, 457, 2*w^3 - 9*w - 6]', '[457, 457, w^3 - 6*w - 6]', '[457, 457, -w^3 + 6*w - 6]', '[457, 457, -2*w^3 + 9*w - 6]', '[479, 479, -2*w^3 + w^2 + 4*w - 4]', '[479, 479, 4*w^3 + w^2 - 14*w]', '[479, 479, -4*w^3 + w^2 + 14*w]', '[479, 479, 2*w^3 + w^2 - 4*w - 4]', '[503, 503, -3*w^3 - 2*w^2 + 10*w + 2]', '[503, 503, 2*w^3 + 2*w^2 - 5*w - 6]', '[503, 503, -2*w^3 + 2*w^2 + 5*w - 6]', '[503, 503, 3*w^3 - 2*w^2 - 10*w + 2]', '[577, 577, 3*w^3 + w^2 - 11*w - 8]', '[577, 577, -w^3 + w^2 + 6*w - 9]', '[577, 577, -4*w^3 + 4*w^2 + 15*w - 12]', '[577, 577, -4*w^3 + w^2 + 12*w]', '[599, 599, 2*w^3 + 2*w^2 - 8*w - 1]', '[599, 599, 2*w^2 - 2*w - 7]', '[599, 599, 2*w^2 + 2*w - 7]', '[599, 599, -2*w^3 + 2*w^2 + 8*w - 1]', '[601, 601, -w^3 + 3*w^2 + 4*w - 7]', '[601, 601, 3*w^2 - w - 5]', '[601, 601, 3*w^2 + w - 5]', '[601, 601, w^3 + 3*w^2 - 4*w - 7]', '[647, 647, -6*w^3 + 3*w^2 + 21*w - 7]', '[647, 647, -5*w^3 + 3*w^2 + 17*w - 6]', '[647, 647, 4*w^3 - 2*w^2 - 14*w + 3]', '[647, 647, 5*w^3 - 2*w^2 - 18*w + 4]', '[673, 673, -5*w^3 + 2*w^2 + 16*w - 6]', '[673, 673, 3*w^3 - w^2 - 14*w + 5]', '[673, 673, -3*w^3 - w^2 + 14*w + 5]', '[673, 673, 5*w^3 + 2*w^2 - 16*w - 6]', '[719, 719, 3*w^3 - w^2 - 13*w - 2]', '[719, 719, 6*w^3 - w^2 - 23*w + 7]', '[719, 719, -5*w^3 + 20*w - 4]', '[719, 719, -3*w^3 - w^2 + 13*w - 2]', '[743, 743, -3*w^3 + w^2 + 11*w + 2]', '[743, 743, w^3 + w^2 - w - 6]', '[743, 743, -w^3 + w^2 + w - 6]', '[743, 743, 3*w^3 + w^2 - 11*w + 2]', '[769, 769, -4*w^3 + 17*w - 2]', '[769, 769, -2*w^3 + w^2 + 8*w - 8]', '[769, 769, 2*w^3 + w^2 - 8*w - 8]', '[769, 769, 4*w^3 - 17*w - 2]', '[839, 839, w^3 + 3*w^2 - 6*w - 9]', '[839, 839, -4*w^3 - 2*w^2 + 16*w + 3]', '[839, 839, 4*w^3 - 2*w^2 - 16*w + 3]', '[839, 839, -w^3 + 3*w^2 + 6*w - 9]', '[841, 29, -4*w^3 + w^2 + 12*w - 2]', '[841, 29, 4*w^3 + w^2 - 12*w - 2]', '[863, 863, 2*w^2 + 3*w - 6]', '[863, 863, 3*w^3 - 2*w^2 - 12*w + 2]', '[863, 863, 3*w^3 + 2*w^2 - 12*w - 2]', '[863, 863, 2*w^2 - 3*w - 6]', '[887, 887, w^3 + 2*w^2 - 6*w - 8]', '[887, 887, 2*w^2 - 2*w - 9]', '[887, 887, 2*w^2 + 2*w - 9]', '[887, 887, -w^3 + 2*w^2 + 6*w - 8]', '[911, 911, -3*w^3 - 3*w^2 + 11*w + 4]', '[911, 911, w^3 + 3*w^2 - w - 8]', '[911, 911, -w^3 + 3*w^2 + w - 8]', '[911, 911, 3*w^3 - 3*w^2 - 11*w + 4]', '[937, 937, -w^3 - w^2 + 8*w + 1]', '[937, 937, 4*w^3 - w^2 - 17*w + 3]', '[937, 937, -4*w^3 - w^2 + 17*w + 3]', '[937, 937, w^3 - w^2 - 8*w + 1]', '[961, 31, -4*w^3 + 12*w - 1]', '[961, 31, 4*w^3 - 12*w - 1]', '[983, 983, w^2 + 3*w - 7]', '[983, 983, 3*w^3 - w^2 - 12*w - 3]', '[983, 983, 3*w^3 + w^2 - 12*w + 3]', '[983, 983, w^2 - 3*w - 7]']}
70. label: 4.4.2525.1
    {'degree': 4, 'discriminant': 2525, 'ideals': ['[1, 1, 1]', '[5, 5, w]', '[5, 5, w^3 - 2*w^2 - 2*w + 3]', '[11, 11, -w^2 + 4]', '[11, 11, w^2 - 2*w - 3]', '[16, 2, 2]', '[25, 5, -w^3 + 3*w^2 - 5]', '[25, 5, 2*w^2 - 2*w - 5]', '[25, 5, -w^3 + 3*w + 3]', '[29, 29, w^3 - 4*w - 1]', '[29, 29, w^3 - 3*w^2 - w + 4]', '[41, 41, w^3 - 2*w^2 - w + 4]', '[41, 41, -w^3 + w^2 + 2*w + 2]', '[55, 55, -w^3 + 5*w + 1]', '[55, 55, w^2 + w - 2]', '[55, 55, -w^2 + 3*w]', '[55, 55, w^3 - 3*w^2 - 2*w + 5]', '[59, 59, -2*w^3 + 4*w^2 + 4*w - 7]', '[59, 59, -3*w^2 + 2*w + 7]', '[61, 61, -w^3 + 4*w^2 - 6]', '[61, 61, w^3 + w^2 - 5*w - 3]', '[71, 71, w^3 + w^2 - 4*w - 6]', '[71, 71, 3*w^2 - 2*w - 8]', '[71, 71, 3*w^2 - 4*w - 7]', '[71, 71, w^3 - 4*w^2 + w + 8]', '[79, 79, -2*w^3 + 3*w^2 + 5*w - 2]', '[79, 79, 2*w^2 - 3*w - 7]', '[79, 79, 2*w^2 - w - 8]', '[79, 79, -2*w^3 + 3*w^2 + 5*w - 4]', '[80, 10, 2*w]', '[80, 10, 2*w^3 - 4*w^2 - 4*w + 6]', '[81, 3, -3]', '[89, 89, -w - 3]', '[89, 89, w - 4]', '[101, 101, w^3 - 6*w - 2]', '[101, 101, 2*w^3 - 3*w^2 - 5*w + 3]', '[101, 101, -w^3 + 3*w^2 + 3*w - 7]', '[109, 109, -3*w^2 + 5*w + 4]', '[109, 109, -2*w^3 + w^2 + 6*w + 4]', '[121, 11, 3*w^2 - 3*w - 8]', '[121, 11, 3*w^2 - 3*w - 7]', '[121, 121, 2*w^3 - 4*w^2 - 3*w + 4]', '[121, 121, 2*w^3 - 2*w^2 - 5*w + 1]', '[125, 5, 2*w^3 - 2*w^2 - 5*w]', '[125, 5, -w^3 + 2*w^2 + 4*w - 5]', '[125, 25, -w^3 + 5*w]', '[125, 25, w^3 - 3*w^2 - 2*w + 4]', '[139, 139, -w^3 - w^2 + 6*w + 3]', '[139, 139, w^3 - 4*w^2 - w + 7]', '[145, 145, -w^3 + 3*w + 5]', '[145, 145, w^3 + 2*w^2 - 6*w - 7]', '[145, 145, w^3 - 5*w^2 + w + 10]', '[145, 145, w^3 - 3*w^2 + 7]', '[149, 149, -2*w^3 + 6*w^2 + w - 11]', '[149, 149, 2*w^3 - 7*w - 6]', '[151, 151, -w^3 + 2*w^2 + 4*w - 4]', '[151, 151, w^3 - w^2 - 5*w + 1]', '[169, 13, -4*w^2 + 5*w + 11]', '[169, 13, 3*w^3 - 6*w^2 - 7*w + 8]', '[176, 22, -2*w^2 + 8]', '[176, 22, 2*w^2 - 4*w - 6]', '[181, 181, w^3 + w^2 - 4*w - 7]', '[181, 181, -2*w^2 + 5*w + 1]', '[181, 181, 3*w^3 - 3*w^2 - 9*w + 2]', '[181, 181, -w^3 + 4*w^2 - 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12*w - 13]', '[1025, 205, -w^3 + 5*w^2 - 4*w - 10]', '[1039, 1039, -w^3 + 7*w^2 - 3*w - 17]', '[1039, 1039, w^3 + 4*w^2 - 8*w - 14]', '[1049, 1049, 3*w^3 - 5*w^2 - 8*w + 1]', '[1049, 1049, -w^3 + 7*w^2 - w - 13]', '[1051, 1051, w^3 - 3*w^2 - 2*w + 12]', '[1051, 1051, -w^3 + 5*w + 8]', '[1061, 1061, -5*w^3 + 11*w^2 + 10*w - 18]', '[1061, 1061, 2*w^3 - 9*w^2 + w + 14]', '[1069, 1069, 2*w^2 - w - 12]', '[1069, 1069, -2*w^2 + 3*w + 11]', '[1091, 1091, -3*w^3 + 9*w + 8]', '[1091, 1091, 2*w^3 - w^2 - 8*w + 3]', '[1091, 1091, -2*w^3 + 5*w^2 + 4*w - 4]', '[1091, 1091, 3*w^2 - w - 1]', '[1109, 1109, 3*w^3 - 2*w^2 - 10*w + 2]', '[1109, 1109, -3*w^3 + 7*w^2 + 5*w - 7]', '[1111, 1111, 2*w^3 - w^2 - 9*w + 2]', '[1111, 1111, -3*w^3 + 14*w + 6]', '[1111, 1111, -5*w^3 + 5*w^2 + 17*w + 6]', '[1111, 1111, -5*w^3 + 10*w^2 + 12*w - 23]', '[1111, 1111, 3*w^3 - 9*w^2 - 5*w + 17]', '[1111, 1111, 2*w^3 - 5*w^2 - 5*w + 6]', '[1129, 1129, w^3 + 2*w^2 - 9*w - 12]', '[1129, 1129, -3*w^3 + 9*w^2 + w - 16]', '[1136, 142, 2*w^3 + 2*w^2 - 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31]', '[1205, 1205, w^3 - 7*w^2 + 3*w + 15]', '[1205, 1205, w^3 + w^2 - 6*w - 11]', '[1205, 1205, -4*w^3 - 2*w^2 + 18*w + 15]', '[1229, 1229, -2*w^3 + 7*w^2 + 2*w - 11]', '[1229, 1229, -3*w^3 - w^2 + 12*w + 6]', '[1229, 1229, -3*w^3 + 10*w^2 + w - 14]', '[1229, 1229, 2*w^3 + w^2 - 10*w - 4]', '[1231, 1231, w^3 - 8*w^2 + 2*w + 21]', '[1231, 1231, -w^3 + 4*w^2 + 3*w - 4]', '[1231, 1231, 4*w^3 - 10*w^2 - 7*w + 16]', '[1231, 1231, -w^3 - 5*w^2 + 11*w + 16]', '[1259, 1259, 3*w^3 - 2*w^2 - 11*w + 1]', '[1259, 1259, 3*w^3 - w^2 - 15*w - 4]', '[1259, 1259, -3*w^3 + 8*w^2 + 8*w - 17]', '[1259, 1259, -3*w^3 + 7*w^2 + 6*w - 9]', '[1264, 158, -4*w^3 + 6*w^2 + 10*w - 4]', '[1264, 158, 4*w^2 - 6*w - 14]', '[1264, 158, 4*w^2 - 2*w - 16]', '[1264, 158, -4*w^3 + 6*w^2 + 10*w - 8]', '[1279, 1279, 4*w^3 - 4*w^2 - 13*w + 4]', '[1279, 1279, -4*w^3 + 8*w^2 + 9*w - 9]', '[1280, 20, 4*w]', '[1280, 20, 4*w^3 - 8*w^2 - 8*w + 12]', '[1291, 1291, 7*w^2 - 5*w - 21]', '[1291, 1291, 4*w^3 - 4*w^2 - 8*w - 3]', '[1291, 1291, 2*w^3 + 4*w^2 - 11*w - 17]', '[1291, 1291, 7*w^2 - 9*w - 19]', '[1296, 6, -6]', '[1301, 1301, 6*w^2 - 5*w - 13]', '[1301, 1301, -6*w^2 + 7*w + 12]', '[1321, 1321, -2*w^3 + 7*w^2 - 2*w - 12]', '[1321, 1321, -2*w^3 - w^2 + 6*w + 9]', '[1331, 11, -3*w^3 + 8*w^2 + 3*w - 17]', '[1331, 11, -3*w^3 + w^2 + 10*w + 9]', '[1331, 121, -3*w^3 + 7*w^2 + 3*w - 13]', '[1331, 121, -3*w^3 + 2*w^2 + 8*w + 6]', '[1331, 1331, 4*w^3 - 9*w^2 - 6*w + 13]', '[1331, 1331, 4*w^3 - 3*w^2 - 12*w - 2]', '[1345, 1345, 5*w^3 - 2*w^2 - 16*w - 5]', '[1345, 1345, -3*w^3 + 7*w^2 + 9*w - 13]', '[1345, 1345, 4*w^3 - 7*w^2 - 8*w + 5]', '[1345, 1345, -3*w^3 + 5*w^2 + 12*w - 14]', '[1355, 1355, 2*w^3 + w^2 - 7*w - 10]', '[1355, 1355, -3*w^2 + 6*w + 10]', '[1355, 1355, 3*w^3 - 10*w^2 - 2*w + 24]', '[1355, 1355, 4*w^2 - 2*w - 17]', '[1361, 1361, 2*w^3 - 6*w^2 + 2*w + 9]', '[1361, 1361, 5*w^2 - 3*w - 18]', '[1369, 37, w^3 - w^2 - 7*w - 1]', '[1369, 37, w^3 - 2*w^2 - 6*w + 8]', '[1375, 55, 4*w^3 - 3*w^2 - 11*w]', '[1375, 55, -3*w^3 + 3*w^2 + 10*w - 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5]', '[1475, 295, 4*w^3 - 2*w^2 - 8*w + 1]', '[1481, 1481, -w^3 + 2*w^2 + 4*w - 11]', '[1481, 1481, w^3 - w^2 - 5*w - 6]', '[1489, 1489, -w^3 + 2*w^2 + w - 9]', '[1489, 1489, w^3 - w^2 - 2*w - 7]', '[1499, 1499, 3*w^3 - w^2 - 12*w - 2]', '[1499, 1499, -w^3 + 4*w^2 + 4*w - 9]', '[1499, 1499, w^3 + w^2 - 9*w - 2]', '[1499, 1499, -3*w^3 + 8*w^2 + 5*w - 12]', '[1511, 1511, 3*w^3 - w^2 - 14*w - 2]', '[1511, 1511, -2*w^3 + 3*w^2 + 6*w - 11]', '[1511, 1511, -2*w^3 + 3*w^2 + 6*w + 4]', '[1511, 1511, -3*w^3 + 8*w^2 + 7*w - 14]', '[1525, 305, w^3 + 2*w^2 - 8*w]', '[1525, 305, -2*w^3 + 6*w^2 - 5*w]', '[1525, 305, -4*w^3 + 5*w^2 + 7*w - 3]', '[1525, 305, -2*w^3 + w + 1]', '[1525, 305, -w^3 + 5*w^2 + w - 5]', '[1525, 305, -4*w^3 + 7*w^2 + 5*w - 5]', '[1529, 1529, 5*w^3 - 5*w^2 - 14*w - 4]', '[1529, 1529, 4*w - 1]', '[1529, 1529, 4*w - 3]', '[1529, 1529, 5*w^3 - 10*w^2 - 9*w + 18]', '[1531, 1531, 4*w^3 - 3*w^2 - 11*w - 2]', '[1531, 1531, -2*w^3 - w^2 + 9*w + 1]', '[1531, 1531, -2*w^3 + 7*w^2 + w - 7]', '[1531, 1531, -4*w^3 + 9*w^2 + 5*w - 12]', '[1549, 1549, w^3 - 5*w^2 + 3*w + 13]', '[1549, 1549, 2*w^3 - 5*w^2 + 9]', '[1555, 1555, 2*w^3 - 6*w^2 - 3*w + 7]', '[1555, 1555, -3*w^3 - 3*w^2 + 14*w + 10]', '[1555, 1555, 2*w^3 - 2*w^2 - 9*w + 9]', '[1555, 1555, -w^3 + 7*w^2 - 2*w - 10]', '[1559, 1559, -w^3 - 5*w^2 + 8*w + 12]', '[1559, 1559, -w^3 + 8*w^2 - 4*w - 21]', '[1571, 1571, 4*w^3 - 9*w^2 - 5*w + 11]', '[1571, 1571, -3*w^3 + 5*w^2 + 10*w - 3]', '[1571, 1571, -3*w^3 + 4*w^2 + 11*w - 9]', '[1571, 1571, 4*w^3 - 3*w^2 - 11*w - 1]', '[1579, 1579, -3*w^3 + 9*w^2 + 2*w - 19]', '[1579, 1579, 4*w^3 - 4*w^2 - 11*w + 2]', '[1579, 1579, -4*w^3 + 8*w^2 + 7*w - 9]', '[1579, 1579, 3*w^3 - 11*w - 11]', '[1595, 1595, w^3 - w^2 - 4*w - 6]', '[1595, 1595, -2*w^3 + 4*w^2 + w - 8]', '[1595, 1595, -w^3 + 4*w^2 + 4*w - 10]', '[1595, 1595, -w^3 + 8*w^2 - 6*w - 16]', '[1595, 1595, -w^3 - 5*w^2 + 7*w + 15]', '[1595, 1595, w^3 + w^2 - 9*w - 3]', '[1595, 1595, 2*w^3 - 2*w^2 - 3*w - 5]', '[1595, 1595, w^3 - 2*w^2 - 3*w + 10]', '[1601, 1601, 4*w^3 - 4*w^2 - 10*w + 3]', '[1601, 1601, -4*w^3 + 8*w^2 + 6*w - 7]', '[1609, 1609, 4*w^3 - 4*w^2 - 11*w - 1]', '[1609, 1609, -4*w^3 + 8*w^2 + 7*w - 12]', '[1616, 202, 2*w^3 - 12*w - 4]', '[1616, 202, 4*w^3 - 6*w^2 - 10*w + 6]', '[1616, 202, -2*w^3 + 6*w^2 + 6*w - 14]', '[1619, 1619, w^3 - 3*w^2 - w + 12]', '[1619, 1619, -w^3 + 4*w + 9]', '[1639, 1639, -5*w^3 + 17*w^2 + 4*w - 34]', '[1639, 1639, -w^3 + 3*w^2 - w + 3]', '[1639, 1639, -w^3 + 2*w - 4]', '[1639, 1639, -5*w^3 - 2*w^2 + 23*w + 18]', '[1655, 1655, -8*w^3 + 23*w^2 + 12*w - 52]', '[1655, 1655, -4*w^2 + w + 15]', '[1655, 1655, -3*w^3 - w^2 + 13*w + 16]', '[1655, 1655, 3*w^3 + w^2 - 18*w - 15]', '[1661, 1661, 3*w^3 - 4*w^2 - 10*w + 9]', '[1661, 1661, -4*w^3 + 7*w^2 + 11*w - 16]', '[1661, 1661, -4*w^3 + 5*w^2 + 13*w + 2]', '[1661, 1661, 3*w^3 - 5*w^2 - 9*w + 2]', '[1669, 1669, -2*w^3 + 7*w^2 - 18]', '[1669, 1669, 2*w^3 + w^2 - 8*w - 13]', '[1681, 41, 6*w^2 - 6*w - 17]', '[1681, 41, w^2 - w - 9]', '[1681, 1681, -2*w^3 + 5*w^2 + 7*w - 13]', '[1681, 1681, -2*w^3 + w^2 + 11*w + 3]', '[1699, 1699, w^3 - w - 9]', '[1699, 1699, -w^3 + 3*w^2 - 2*w - 9]', '[1709, 1709, -w^3 + 6*w^2 - 5*w - 13]', '[1709, 1709, w^3 + 3*w^2 - 4*w - 13]', '[1711, 1711, -w^3 - 6*w^2 + 5*w + 13]', '[1711, 1711, 2*w^3 - 9*w + 3]', '[1711, 1711, -3*w^3 + 6*w^2 + 4*w - 13]', '[1711, 1711, -w^3 + 5*w^2 + 3*w - 18]', '[1721, 1721, 4*w^3 - 6*w^2 - 9*w + 3]', '[1721, 1721, -2*w^3 + 5*w^2 + w - 13]', '[1721, 1721, 2*w^3 - w^2 - 5*w - 9]', '[1721, 1721, 4*w^3 - 6*w^2 - 9*w + 8]', '[1744, 218, -6*w^2 + 10*w + 8]', '[1744, 218, -4*w^3 + 2*w^2 + 12*w + 8]', '[1745, 1745, 3*w^3 + 3*w^2 - 14*w - 15]', '[1745, 1745, w^3 - 5*w^2 + w + 18]', '[1745, 1745, -6*w^2 + 7*w + 15]', '[1745, 1745, -2*w^3 + 7*w^2 + 4*w - 24]', '[1759, 1759, -w^3 + 3*w^2 + 5*w - 9]', '[1759, 1759, w^3 - 8*w - 2]', '[1769, 1769, 7*w^2 - 6*w - 14]', '[1769, 1769, w^3 + 3*w^2 - 3*w - 2]', '[1769, 1769, w^3 - 6*w^2 + 6*w + 1]', '[1769, 1769, -7*w^2 + 8*w + 13]', '[1775, 355, w^3 - 3*w^2 + 2*w + 10]', '[1775, 355, -w^3 - w^2 - 3]', '[1775, 355, -6*w^2 + 5*w + 15]', '[1775, 355, -4*w^2 + 15]', '[1775, 355, 2*w^3 - 3*w^2 - 4*w + 10]', '[1775, 355, -3*w^3 + 2*w^2 + 5*w - 4]', '[1775, 355, -3*w^3 + 7*w^2]', '[1775, 355, -2*w^3 + 3*w^2 + 4*w + 5]', '[1775, 355, 4*w^2 - 8*w - 11]', '[1775, 355, w^3 - w - 10]', '[1775, 355, -6*w^2 + 7*w + 14]', '[1775, 355, w^3 - 4*w^2 + 5*w - 5]', '[1789, 1789, 3*w^3 - 3*w^2 - 10*w + 6]', '[1789, 1789, -w^3 - 4*w^2 + 10*w + 7]', '[1795, 1795, -4*w^3 + 8*w^2 + 12*w - 21]', '[1795, 1795, -3*w^3 + 6*w^2 + 8*w - 6]', '[1795, 1795, -5*w^3 + 7*w^2 + 7*w - 5]', '[1795, 1795, -w^2 - 5*w + 11]', '[1795, 1795, 3*w^3 - 9*w^2 - 2*w + 10]', '[1795, 1795, -2*w^3 + 2*w^2 + 11*w - 11]', '[1795, 1795, 2*w^3 - 7*w^2 - 2*w + 10]', '[1795, 1795, 4*w^3 + w^2 - 17*w - 10]', '[1801, 1801, -2*w^3 + 5*w^2 - w - 8]', '[1801, 1801, -w^3 - 5*w^2 + 10*w + 13]', '[1801, 1801, w^3 - 8*w^2 + 3*w + 17]', '[1801, 1801, 2*w^3 - w^2 - 3*w - 6]', '[1805, 95, 4*w^3 - 4*w^2 - 11*w]', '[1805, 95, -4*w^3 + 4*w^2 + 9*w]', '[1805, 95, -3*w^3 + 6*w^2 + 10*w - 13]', '[1805, 95, w^3 - 2*w^2 - 6*w + 7]', '[1811, 1811, 4*w^3 - 3*w^2 - 14*w + 1]', '[1811, 1811, 4*w^3 - 9*w^2 - 8*w + 12]', '[1831, 1831, -w^3 + 8*w - 1]', '[1831, 1831, 2*w^2 + 3*w - 3]', '[1831, 1831, 5*w^3 - 11*w^2 - 9*w + 16]', '[1831, 1831, -w^3 + 3*w^2 + 5*w - 6]', '[1849, 43, -2*w^3 + 6*w^2 + 3*w - 6]', '[1849, 43, 3*w^3 - 8*w^2 - 6*w + 13]', '[1859, 143, 3*w^3 - 11*w^2 + 24]', '[1859, 143, 7*w^3 - 17*w^2 - 13*w + 32]', '[1859, 143, 5*w^3 - 3*w^2 - 17*w - 13]', '[1859, 143, -4*w^3 + w^2 + 20*w + 6]', '[1871, 1871, -3*w^3 - w^2 + 11*w + 12]', '[1871, 1871, 3*w^3 + 3*w^2 - 16*w - 17]', '[1879, 1879, -w^3 + 6*w^2 - 9]', '[1879, 1879, -3*w^3 + 7*w^2 + 6*w - 8]', '[1901, 1901, -w^3 - w^2 + 2*w - 2]', '[1901, 1901, -2*w^3 + 10*w^2 - 3*w - 21]', '[1931, 1931, w^3 + 2*w^2 - 4*w - 13]', '[1931, 1931, w^3 - 5*w^2 + 3*w + 14]', '[1936, 22, 6*w^2 - 6*w - 16]', '[1936, 22, 6*w^2 - 6*w - 14]', '[1936, 242, 4*w^3 - 8*w^2 - 6*w + 8]', '[1936, 242, 4*w^3 - 4*w^2 - 10*w + 2]', '[1945, 1945, 2*w^3 - 5*w^2 - 6*w + 5]', '[1945, 1945, -5*w^3 + 9*w^2 + 14*w - 18]', '[1945, 1945, 3*w^3 - 14*w - 5]', '[1945, 1945, -5*w^3 + 11*w^2 + 11*w - 17]', '[1949, 1949, -w^3 + 2*w^2 + 6*w - 3]', '[1949, 1949, 2*w^3 - 8*w^2 + 2*w + 17]', '[1949, 1949, 2*w^3 + 2*w^2 - 8*w - 13]', '[1949, 1949, w^3 - w^2 - 7*w + 4]', '[1951, 1951, -3*w^3 + 12*w^2 - w - 27]', '[1951, 1951, -3*w^3 + 8*w^2 + 6*w - 23]', '[1975, 395, w^3 + 2*w^2 - 10*w]', '[1975, 395, -3*w^3 + 5*w^2 + 9*w - 1]', '[1975, 395, 2*w^3 - w^2 - 11*w]', '[1975, 395, 3*w^3 + 3*w^2 - 15*w - 16]', '[1975, 395, -2*w^3 - 2*w^2 + 9*w + 15]', '[1975, 395, -w^2 + 10]', '[1975, 395, 2*w^3 - 8*w^2 + w + 20]', '[1975, 395, w^2 - 2*w - 9]', '[1975, 395, 3*w^3 - 12*w^2 + 25]', '[1975, 395, w^3 - 5*w^2 - 3*w + 7]', '[1975, 395, -2*w^3 + 5*w^2 + 7*w - 10]', '[1975, 395, -3*w^3 + 4*w^2 + 10*w - 10]', '[1979, 1979, -4*w^3 + 6*w^2 + 7*w - 3]', '[1979, 1979, 4*w^3 - 6*w^2 - 7*w + 6]', '[1991, 1991, -6*w^3 + 2*w^2 + 23*w + 9]', '[1991, 1991, 3*w^3 - 11*w^2 - 6*w + 23]', '[1991, 1991, -2*w^3 + 2*w^2 + 6*w + 7]', '[1991, 1991, -3*w^3 + 12*w^2 + w - 26]', '[1991, 1991, -3*w^3 - 3*w^2 + 16*w + 16]', '[1991, 1991, -2*w^3 + 4*w^2 + 4*w - 13]', '[1991, 1991, -5*w^3 + 11*w^2 + 7*w - 7]', '[1991, 1991, w^3 + w^2 - 10*w + 6]', '[2000, 10, 4*w^3 - 4*w^2 - 10*w]', '[2000, 10, -2*w^3 + 4*w^2 + 8*w - 10]', '[2000, 50, -2*w^3 + 10*w]', '[2000, 50, 2*w^3 - 6*w^2 - 4*w + 8]', '[2005, 2005, -5*w^3 + 8*w^2 + 13*w - 11]', '[2005, 2005, w^3 - 2*w^2 - 7*w]', '[2005, 2005, -6*w^3 + 14*w^2 + 11*w - 24]', '[2005, 2005, w^3 - 8*w]', '[2011, 2011, 3*w^3 - 2*w^2 - 8*w - 7]', '[2011, 2011, -w^2 - w - 4]', '[2011, 2011, -w^2 + 3*w - 6]', '[2011, 2011, 3*w^3 - 7*w^2 - 3*w + 14]', '[2025, 15, 3*w^3 - 9*w^2 + 15]', '[2025, 15, -6*w^2 + 6*w + 15]', '[2025, 15, 3*w^3 - 9*w - 9]', '[2029, 2029, w^3 + 4*w^2 - 6*w - 17]', '[2029, 2029, w^3 - 2*w^2 - 3*w - 4]', '[2029, 2029, -w^3 + w^2 + 4*w - 8]', '[2029, 2029, w^3 - 7*w^2 + 5*w + 18]', '[2045, 2045, 3*w^3 - 5*w^2 - 9*w]', '[2045, 2045, -2*w^3 + 7*w^2 - w - 15]', '[2045, 2045, -3*w^3 + 2*w^2 + 13*w - 2]', '[2045, 2045, -w^3 + 8*w^2 - 4*w - 20]', '[2045, 2045, w^3 + 5*w^2 - 9*w - 17]', '[2045, 2045, 3*w^3 - w^2 - 11*w]', '[2045, 2045, -2*w^3 - w^2 + 7*w + 11]', '[2045, 2045, -5*w^3 + 14*w^2 + 9*w - 28]', '[2059, 2059, -3*w^3 + 6*w^2 + 7*w - 3]', '[2059, 2059, 3*w^2 - 9*w + 2]', '[2059, 2059, 6*w^2 - w - 12]', '[2059, 2059, -4*w^3 + 5*w^2 + 10*w - 4]', '[2059, 2059, 4*w^3 - 7*w^2 - 8*w + 7]', '[2059, 2059, -6*w^2 + 11*w + 7]', '[2059, 2059, 3*w^2 + 3*w - 4]', '[2059, 2059, -3*w^3 + 3*w^2 + 10*w - 7]', '[2069, 2069, w^3 - w^2 + 2*w - 3]', '[2069, 2069, -4*w^3 + 6*w^2 + 9*w - 7]', '[2069, 2069, 4*w^3 - 6*w^2 - 9*w + 4]', '[2069, 2069, -w^3 + 2*w^2 - 3*w - 1]', '[2081, 2081, 2*w^3 - 3*w^2 - 9*w + 7]', '[2081, 2081, -2*w^3 + 3*w^2 + 9*w - 3]', '[2089, 2089, w^3 - 3*w^2 - 2*w + 13]', '[2089, 2089, -w^3 + 5*w + 9]', '[2095, 2095, w^3 - 4*w + 5]', '[2095, 2095, -3*w^3 + 3*w^2 + 4*w - 4]', '[2095, 2095, 2*w^3 - 3*w^2 - 8*w - 5]', '[2095, 2095, -w^3 - 5*w^2 + 10*w + 16]', '[2101, 2101, -w^3 - w^2 + 10*w + 6]', '[2101, 2101, -4*w^3 + 6*w^2 + 8*w - 3]', '[2101, 2101, 4*w^3 - 6*w^2 - 8*w + 7]', '[2101, 2101, w^3 - 4*w^2 - 5*w + 14]', '[2111, 2111, -4*w^3 + 7*w^2 + 6*w - 7]', '[2111, 2111, -4*w^3 + 5*w^2 + 8*w - 2]', '[2129, 2129, w^3 + 5*w^2 - 10*w - 14]', '[2129, 2129, -w^3 + 8*w^2 - 3*w - 18]', '[2131, 2131, w^3 - 9*w^2 + 8*w + 17]', '[2131, 2131, 4*w^3 - 10*w^2 - 6*w + 13]', '[2155, 2155, 2*w^3 - 7*w^2 + 2*w + 13]', '[2155, 2155, 4*w^3 - 3*w^2 - 9*w - 5]', '[2155, 2155, -4*w^3 + 12*w^2 + 4*w - 27]', '[2155, 2155, -2*w^3 - w^2 + 6*w + 10]', '[2161, 2161, -4*w^3 + 7*w^2 + 8*w - 8]', '[2161, 2161, 4*w^3 - 5*w^2 - 10*w + 3]', '[2179, 2179, -3*w^3 + 10*w^2 + 3*w - 17]', '[2179, 2179, -2*w^3 + 7*w^2 + 4*w - 12]', '[2179, 2179, 2*w^3 + w^2 - 12*w - 3]', '[2179, 2179, 3*w^3 + w^2 - 14*w - 7]', '[2189, 2189, -w^3 + 2*w^2 + 6*w - 4]', '[2189, 2189, -w^3 + 2*w^2 + 6]', '[2189, 2189, 7*w^3 - 4*w^2 - 25*w - 12]', '[2189, 2189, 3*w^3 + 6*w^2 - 23*w - 22]', '[2195, 2195, 3*w^3 + 2*w^2 - 16*w - 10]', '[2195, 2195, -4*w^3 + 8*w^2 + 9*w - 8]', '[2195, 2195, w^3 - 6*w^2 - w + 10]', '[2195, 2195, -5*w^3 + 10*w^2 + 13*w - 23]', '[2209, 47, -3*w^3 - 4*w^2 + 13*w + 16]', '[2209, 47, 2*w^3 - 6*w^2 + 4*w + 9]', '[2221, 2221, -2*w^2 + w + 13]', '[2221, 2221, 3*w^3 - 4*w^2 - 7*w - 6]', '[2221, 2221, 4*w^3 - 12*w^2 - 3*w + 17]', '[2221, 2221, -2*w^2 + 3*w + 12]', '[2224, 278, -2*w^3 - 2*w^2 + 12*w + 6]', '[2224, 278, 2*w^3 - 8*w^2 - 2*w + 14]', '[2225, 445, 2*w^3 - 5*w^2 + 10]', '[2225, 445, -2*w^3 - 4*w^2 + 11*w + 15]', '[2225, 445, 5*w^3 + w^2 - 17*w - 14]', '[2225, 445, 2*w^3 - w^2 - 4*w - 7]', '[2225, 445, 2*w^3 - 10*w^2 + 3*w + 20]', '[2225, 445, 5*w^3 - 16*w^2 + 25]', '[2245, 2245, 4*w^3 - 8*w^2 - 3*w + 10]', '[2245, 2245, 4*w^3 - 6*w^2 - 7*w + 5]', '[2245, 2245, -w^3 + 4*w^2 + 6*w - 19]', '[2245, 2245, -2*w^3 + 5*w^2 + 8*w - 16]', '[2245, 2245, 5*w^3 - 3*w^2 - 14*w - 5]', '[2245, 2245, -w^3 + 9*w^2 - 7*w - 15]', '[2245, 2245, -w^3 + w^2 + 7*w - 2]', '[2245, 2245, w^2 - 5*w + 9]', '[2251, 2251, 4*w^3 - 11*w^2 - 2*w + 18]', '[2251, 2251, -5*w^3 + 5*w^2 + 14*w - 8]', '[2255, 2255, w^3 - 8*w^2 + 5*w + 17]', '[2255, 2255, -2*w^3 - 4*w^2 + 13*w + 15]', '[2255, 2255, -3*w^3 - w^2 + 13*w + 6]', '[2255, 2255, -4*w^3 + 6*w^2 + 9*w - 6]', '[2255, 2255, 4*w^3 - 6*w^2 - 9*w + 5]', '[2255, 2255, -3*w^3 + 10*w^2 + 2*w - 15]', '[2255, 2255, -2*w^3 + 10*w^2 - w - 22]', '[2255, 2255, w^3 + 5*w^2 - 8*w - 15]', '[2269, 2269, -3*w^3 + 8*w^2 + 5*w - 11]', '[2269, 2269, w^3 - 3*w^2 - 2*w - 2]', '[2269, 2269, -w^3 + 5*w - 6]', '[2269, 2269, -3*w^3 + w^2 + 12*w + 1]', '[2281, 2281, -2*w^3 + 7*w^2 + 3*w - 11]', '[2281, 2281, -2*w^3 - w^2 + 11*w + 3]', '[2291, 2291, -2*w^3 + 4*w^2 + 8*w - 7]', '[2291, 2291, 2*w^3 - 4*w^2 - w + 11]', '[2291, 2291, 4*w^2 - 7*w - 13]', '[2291, 2291, -5*w^3 + 4*w^2 + 16*w + 2]', '[2291, 2291, -5*w^3 + 11*w^2 + 9*w - 17]', '[2291, 2291, -4*w^2 + w + 16]', '[2291, 2291, 2*w^3 - 2*w^2 - 3*w - 8]', '[2291, 2291, -2*w^3 + 2*w^2 + 10*w - 3]', '[2305, 2305, -8*w^3 + 19*w^2 + 18*w - 44]', '[2305, 2305, 2*w^3 - 8*w^2 - 3*w + 15]', '[2305, 2305, -3*w^3 + 9*w^2 + 2*w - 8]', '[2305, 2305, 2*w^3 + 7*w^2 - 16*w - 15]', '[2311, 2311, -2*w^3 + 4*w^2 + 8*w - 9]', '[2311, 2311, 2*w^3 - 2*w^2 - 10*w + 1]', '[2320, 290, -2*w^3 + 6*w + 10]', '[2320, 290, 2*w^3 + 4*w^2 - 12*w - 14]', '[2320, 290, 2*w^3 - 10*w^2 + 2*w + 20]', '[2320, 290, 2*w^3 - 6*w^2 + 14]', '[2341, 2341, -w^3 + 3*w^2 - 3*w - 8]', '[2341, 2341, w^3 - 9]', '[2349, 87, -3*w^3 + 12*w + 3]', '[2349, 87, -3*w^3 + 9*w^2 + 3*w - 12]', '[2351, 2351, -2*w^3 + 7*w^2 + 2*w - 9]', '[2351, 2351, -3*w^3 + 7*w^2 + 7*w - 9]', '[2371, 2371, w^3 + 5*w^2 - 9*w - 16]', '[2371, 2371, -w^3 + 8*w^2 - 4*w - 19]', '[2384, 298, -4*w^3 + 12*w^2 + 2*w - 22]', '[2384, 298, 4*w^3 - 14*w - 12]', '[2389, 2389, -w^3 + 7*w^2 - 6*w - 16]', '[2389, 2389, w^3 + 4*w^2 - 5*w - 16]', '[2395, 2395, 3*w^3 - 6*w^2 - 11*w + 5]', '[2395, 2395, -8*w^3 + 15*w^2 + 21*w - 28]', '[2395, 2395, 7*w^2 - 11*w - 10]', '[2395, 2395, -5*w^3 + 14*w^2 + 4*w - 18]', '[2399, 2399, -5*w^3 + 10*w^2 + 8*w - 16]', '[2399, 2399, w^3 + 5*w^2 - 9*w - 14]', '[2399, 2399, w^3 - 8*w^2 + 4*w + 17]', '[2399, 2399, 5*w^3 - 5*w^2 - 13*w - 3]', '[2401, 7, -7]', '[2411, 2411, 5*w^3 - 11*w^2 - 9*w + 18]', '[2411, 2411, 2*w^3 - 3*w^2 - 9*w + 6]', '[2411, 2411, -2*w^3 + 3*w^2 + 9*w - 4]', '[2411, 2411, -4*w^3 + 12*w^2 + 4*w - 19]', '[2416, 302, -2*w^3 + 4*w^2 + 8*w - 8]', '[2416, 302, 2*w^3 - 2*w^2 - 10*w + 2]', '[2419, 2419, -5*w^3 + 8*w^2 + 13*w - 18]', '[2419, 2419, -3*w^3 + 9*w^2 + 4*w - 14]', '[2419, 2419, -2*w^3 - 5*w^2 + 6*w + 18]', '[2419, 2419, 3*w^3 - 6*w^2 - 2*w + 9]', '[2455, 2455, 5*w^3 - 5*w^2 - 13*w + 5]', '[2455, 2455, -5*w^3 + 11*w^2 + 12*w - 18]', '[2455, 2455, 6*w^3 - 6*w^2 - 18*w - 5]', '[2455, 2455, 4*w^3 - w^2 - 16*w - 5]', '[2455, 2455, -5*w^3 + 9*w^2 + 15*w - 19]', '[2455, 2455, -6*w^3 + 17*w^2 + 13*w - 39]', '[2455, 2455, 3*w^3 - 6*w^2 - 8*w + 5]', '[2455, 2455, -3*w^3 + w^2 + 16*w + 1]', '[2459, 2459, -4*w^3 + 11*w^2 + 5*w - 16]', '[2459, 2459, 4*w^3 - w^2 - 15*w - 4]', '[2495, 2495, 2*w^3 + 4*w^2 - 12*w - 15]', '[2495, 2495, 2*w^3 - 2*w^2 - w + 5]', '[2495, 2495, w^3 - 5*w^2 + 19]', '[2495, 2495, 5*w^2 - 2*w - 18]', '[2495, 2495, -3*w^3 + 3*w^2 + 6*w + 5]', '[2495, 2495, w^3 + 5*w^2 - 9*w - 15]', '[2495, 2495, -3*w^3 + 11*w^2 - w - 22]', '[2495, 2495, 2*w^3 - 7*w^2 - 3*w + 23]', '[2501, 2501, 5*w^3 - 3*w^2 - 12*w - 2]', '[2501, 2501, -w^3 + 4*w^2 - 6*w - 6]', '[2501, 2501, w^3 + w^2 + w - 9]', '[2501, 2501, -5*w^3 + 12*w^2 + 3*w - 12]', '[2519, 2519, -5*w^3 + 8*w^2 + 13*w + 2]', '[2519, 2519, w^3 + 4*w^2 - 10*w - 6]', '[2519, 2519, 5*w^3 - 6*w^2 - 11*w - 4]', '[2519, 2519, 3*w^3 - 8*w^2 + 12]', '[2525, 505, -5*w^3 + 6*w^2 + 14*w]', '[2525, 505, -4*w^3 + 10*w^2 + 5*w - 10]', '[2525, 505, 4*w^3 + w^2 - 19*w - 11]', '[2525, 505, -2*w^3 + w^2 + 10*w - 5]', '[2525, 505, -2*w^3 + 3*w^2 + 9*w - 5]', '[2525, 505, 2*w^3 - 5*w^2 - 6*w + 4]', '[2525, 505, -4*w^3 + 2*w^2 + 13*w - 1]', '[2525, 505, 4*w^3 - 13*w^2 - 5*w + 25]', '[2525, 505, 5*w^3 - 9*w^2 - 11*w + 15]', '[2539, 2539, -2*w^3 + 6*w^2 + 2*w - 19]', '[2539, 2539, 5*w^3 - 7*w^2 - 12*w + 1]', '[2539, 2539, -5*w^3 + 8*w^2 + 11*w - 13]', '[2539, 2539, -2*w^3 + 8*w + 13]', '[2551, 2551, -4*w^3 + 3*w^2 + 13*w - 3]', '[2551, 2551, -4*w^3 + 9*w^2 + 7*w - 9]', '[2581, 2581, -5*w^3 + 18*w + 8]', '[2581, 2581, -2*w^3 + 6*w^2 + 4*w - 7]', '[2581, 2581, -2*w^3 + 10*w - 1]', '[2581, 2581, -5*w^3 + 15*w^2 + 3*w - 21]', '[2591, 2591, -3*w^3 + 8*w^2 + 7*w - 13]', '[2591, 2591, 3*w^3 - w^2 - 14*w - 1]', '[2609, 2609, 2*w^3 + 2*w^2 - 9*w - 17]', '[2609, 2609, 2*w^3 - w^2 - 2*w - 7]', '[2609, 2609, -2*w^3 + 5*w^2 - 2*w - 8]', '[2609, 2609, 3*w^3 - 5*w^2 - 3*w + 8]', '[2645, 115, 5*w^3 + 3*w^2 - 21*w - 20]', '[2645, 115, 6*w^3 - 5*w^2 - 13*w - 5]', '[2645, 115, w^3 - 6*w^2 + 3*w + 22]', '[2645, 115, 2*w^3 - 7*w^2 + 4*w + 11]', '[2651, 2651, -7*w^3 + 21*w^2 + 10*w - 43]', '[2651, 2651, 2*w^3 - 11*w + 1]', '[2651, 2651, -2*w^3 + 6*w^2 + 5*w - 8]', '[2651, 2651, 7*w^3 - 31*w - 19]', '[2689, 2689, w^3 + w^2 - 10*w + 1]', '[2689, 2689, 2*w^3 - 6*w - 13]', '[2699, 2699, -3*w^3 + 11*w^2 + 2*w - 19]', '[2699, 2699, 3*w^3 + 2*w^2 - 15*w - 9]', '[2704, 26, -8*w^2 + 10*w + 22]', '[2704, 26, 6*w^3 - 12*w^2 - 14*w + 16]', '[2719, 2719, -3*w^3 + 9*w^2 + 3*w - 26]', '[2719, 2719, 5*w^3 - 3*w^2 - 18*w - 2]', '[2725, 545, 7*w^3 - 20*w^2 + 20]', '[2725, 545, w^3 - 5*w^2 + 7*w + 7]', '[2725, 545, 4*w^3 - 11*w^2 - 3*w + 10]', '[2725, 545, -2*w^3 + 6*w + 11]', '[2725, 545, 3*w^2 - 8*w - 10]', '[2725, 545, -2*w^3 + 3*w^2 + 5*w + 5]', '[2729, 2729, -5*w^3 + 11*w^2 + 8*w - 18]', '[2729, 2729, 5*w^3 - 4*w^2 - 15*w - 4]', '[2741, 2741, 2*w^3 + 4*w^2 - 10*w - 19]', '[2741, 2741, 5*w^3 - 8*w^2 - 12*w + 12]', '[2741, 2741, 5*w^3 - 7*w^2 - 13*w + 3]', '[2741, 2741, -5*w^3 + 6*w^2 + 13*w - 7]', '[2789, 2789, 2*w - 9]', '[2789, 2789, -2*w - 7]', '[2791, 2791, 2*w^3 - 7*w^2 + w + 16]', '[2791, 2791, w^3 + 3*w^2 - 5*w - 16]', '[2791, 2791, -w^3 + 6*w^2 - 4*w - 17]', '[2791, 2791, 2*w^3 + w^2 - 7*w - 12]', '[2801, 2801, -2*w^3 + 7*w^2 + 2*w - 8]', '[2801, 2801, -3*w^3 + 8*w^2 + 6*w - 12]', '[2816, 44, -4*w^2 + 16]', '[2816, 44, 4*w^2 - 8*w - 12]', '[2819, 2819, -3*w^3 + 4*w^2 + 11*w - 11]', '[2819, 2819, -w^3 - 2*w^2 + 11*w + 3]', '[2819, 2819, w^3 + w^2 - 2*w - 14]', '[2819, 2819, 3*w^3 + 2*w^2 - 14*w - 8]', '[2845, 2845, w^3 - 8*w^2 + w + 15]', '[2845, 2845, -6*w^3 + 13*w^2 + 15*w - 32]', '[2845, 2845, w^3 + 6*w^2 - 8*w - 15]', '[2845, 2845, 2*w^3 + 5*w^2 - 14*w - 15]', '[2845, 2845, 3*w^3 - 7*w^2 - 7*w + 21]', '[2845, 2845, -w^3 + w^2 + 2*w + 8]', '[2845, 2845, -2*w^3 + 8*w^2 + 2*w - 5]', '[2845, 2845, w^3 + 5*w^2 - 12*w - 9]', '[2851, 2851, -3*w^3 + 11*w + 13]', '[2851, 2851, -2*w^3 + 9*w^2 + w - 16]', '[2851, 2851, 2*w^3 + 3*w^2 - 13*w - 8]', '[2851, 2851, 3*w^3 - 9*w^2 - 2*w + 21]', '[2855, 2855, -5*w^3 + 15*w^2 + 11*w - 36]', '[2855, 2855, 5*w^3 - 5*w^2 - 12*w + 5]', '[2855, 2855, -2*w^3 - w^2 + 14*w + 4]', '[2855, 2855, 6*w^3 - 6*w^2 - 17*w - 5]', '[2861, 2861, -w^3 - 6*w^2 + 9*w + 14]', '[2861, 2861, 4*w^2 - w - 17]', '[2861, 2861, 4*w^2 - 7*w - 14]', '[2861, 2861, -w^3 + 9*w^2 - 5*w - 24]', '[2879, 2879, 2*w^3 + w^2 - 10*w + 1]', '[2879, 2879, -2*w^3 + 7*w^2 + 2*w - 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w - 11]', '[419, 419, w^3 - 7*w - 3]', '[419, 419, -w^3 + 3*w^2 + 4*w - 9]', '[431, 431, -2*w^3 + 2*w^2 + 7*w - 4]', '[431, 431, w^3 + 2*w^2 - 7*w - 4]', '[439, 439, -2*w^3 + 5*w^2 + 2*w - 11]', '[439, 439, 2*w^3 - w^2 - 6*w - 6]', '[449, 449, w^3 + 3*w^2 - 7*w - 9]', '[449, 449, w^3 - 6*w^2 + 5*w + 11]', '[449, 449, 3*w^3 - 7*w^2 - 3*w + 8]', '[449, 449, -w^3 + 6*w^2 - 2*w - 12]', '[461, 461, -3*w^3 + 8*w^2 + 4*w - 18]', '[461, 461, 3*w^3 - 4*w^2 - 5*w - 1]', '[479, 479, -w^3 + 5*w^2 - 2*w - 16]', '[479, 479, 2*w^3 - 4*w^2 - w - 1]', '[491, 491, -w^3 + 7*w^2 - w - 18]', '[491, 491, w^3 + 2*w^2 - 5*w - 11]', '[491, 491, -w^3 + 5*w^2 - 2*w - 13]', '[491, 491, w^3 + 4*w^2 - 10*w - 13]', '[499, 499, 3*w^3 - 4*w^2 - 8*w + 3]', '[499, 499, -w^3 + 4*w^2 + 2*w - 6]', '[499, 499, -w^3 - w^2 + 7*w + 1]', '[499, 499, 3*w^3 - 5*w^2 - 7*w + 6]', '[529, 23, 4*w^3 - 3*w^2 - 13*w - 1]', '[529, 23, w^3 + 4*w^2 - 9*w - 8]', '[569, 569, -3*w^3 + 7*w^2 + 4*w - 14]', '[569, 569, 3*w^3 - 4*w^2 - 7*w + 1]', '[569, 569, 3*w^3 - 5*w^2 - 6*w + 7]', '[569, 569, w^3 - 4*w^2 + 4*w + 7]', '[571, 571, -w^3 + 7*w^2 - w - 17]', '[571, 571, w^3 + 4*w^2 - 10*w - 12]', '[599, 599, 3*w^3 - 6*w^2 - 5*w + 7]', '[599, 599, 3*w^3 - 3*w^2 - 8*w + 1]', '[619, 619, -w^3 + 3*w^2 + 4*w - 7]', '[619, 619, 2*w^3 - 6*w^2 - w + 13]', '[619, 619, -w^3 + 3*w^2 - 2*w - 6]', '[619, 619, w^3 - 7*w - 1]', '[641, 641, 3*w^3 - 3*w^2 - 7*w + 1]', '[641, 641, -3*w^3 + 6*w^2 + 4*w - 6]', '[659, 659, -2*w^3 + 5*w^2 + 6*w - 7]', '[659, 659, -2*w^3 + w^2 + 10*w - 2]', '[661, 661, 2*w^3 - 4*w^2 - w + 6]', '[661, 661, w^3 + 2*w^2 - 5*w - 12]', '[701, 701, -w^3 + 3*w^2 - w - 9]', '[701, 701, -2*w^3 + w^2 + 9*w - 1]', '[701, 701, 2*w^3 - 8*w - 1]', '[701, 701, w^3 - 2*w - 8]', '[709, 709, 2*w^3 - 2*w^2 - 9*w + 1]', '[709, 709, w^3 - w^2 + w - 2]', '[719, 719, -5*w^2 + 4*w + 14]', '[719, 719, -5*w^2 + 6*w + 13]', '[739, 739, 4*w^3 - 6*w^2 - 11*w + 7]', '[739, 739, -4*w^3 + 6*w^2 + 11*w - 6]', '[751, 751, -w^3 + 7*w^2 - 4*w - 16]', '[751, 751, -w^3 - 4*w^2 + 7*w + 14]', '[769, 769, w^3 - 3*w^2 - w + 11]', '[769, 769, -w^3 + 4*w + 8]', '[811, 811, -w^3 + 4*w^2 - 14]', '[811, 811, -w^3 - w^2 + 5*w + 11]', '[829, 829, -w^3 + 2*w^2 - w - 6]', '[829, 829, w^2 + 3*w - 1]', '[829, 829, 3*w^3 - 13*w - 6]', '[829, 829, w^3 - w^2 - 6]', '[841, 29, 5*w^2 - 5*w - 14]', '[859, 859, -w^3 + 6*w^2 - 11]', '[859, 859, -3*w^3 + 5*w^2 + 8*w - 2]', '[881, 881, -3*w^3 + w^2 + 11*w + 2]', '[881, 881, -3*w^3 + 8*w^2 + 4*w - 11]', '[911, 911, -2*w^2 - w + 11]', '[911, 911, 2*w^2 - 5*w - 8]', '[919, 919, w^3 - 5*w^2 - w + 8]', '[919, 919, -w^3 - 2*w^2 + 8*w + 3]', '[941, 941, 2*w^3 + 2*w^2 - 11*w - 7]', '[941, 941, -2*w^3 + 8*w^2 + w - 14]', '[961, 31, -2*w^2 + 2*w + 11]', '[961, 31, 5*w^2 - 5*w - 13]', '[971, 971, w^3 - 2*w^2 - 3*w - 3]', '[971, 971, -w^3 + w^2 + 4*w - 7]', '[991, 991, -w^3 + 4*w^2 + 2*w - 16]', '[991, 991, w^3 + 3*w^2 - 5*w - 13]', '[991, 991, -w^3 + 6*w^2 - 4*w - 14]', '[991, 991, 2*w^3 + 3*w^2 - 10*w - 12]']}
71. label: 4.4.2624.1
    {'degree': 4, 'discriminant': 2624, 'ideals': ['[1, 1, 1]', '[4, 2, w^3 - 2*w^2 - 2*w + 1]', '[7, 7, -w^3 + 3*w^2 + w - 3]', '[7, 7, -w^2 + w + 2]', '[16, 2, 2]', '[17, 17, -w^3 + 3*w^2 - 3]', '[17, 17, -w^3 + w^2 + 4*w]', '[25, 5, -w^3 + 3*w^2 + 2*w - 2]', '[25, 5, -2*w^3 + 4*w^2 + 5*w - 1]', '[28, 14, -w^3 + 2*w^2 + 4*w - 3]', '[28, 14, w^3 - 2*w^2 - 4*w + 1]', '[41, 41, -w^3 + 2*w^2 + 4*w - 2]', '[47, 47, -2*w^3 + 5*w^2 + 4*w - 4]', '[47, 47, 2*w^3 - 4*w^2 - 5*w]', '[49, 7, 2*w^3 - 4*w^2 - 4*w + 1]', '[49, 7, w^2 - 4*w - 1]', '[49, 49, w^3 - 3*w^2 + 4]', '[49, 49, -w^3 + w^2 + 4*w - 1]', '[64, 4, 2*w^3 - 4*w^2 - 4*w + 2]', '[68, 34, -w^3 + w^2 + 5*w - 2]', '[68, 34, w^2 - 3*w - 3]', '[71, 71, 2*w - 3]', '[71, 71, -w^3 + w^2 + 6*w - 2]', '[73, 73, -w^3 + 3*w^2 + 3*w - 5]', '[73, 73, 2*w^3 - 5*w^2 - 5*w + 4]', '[73, 73, -w^3 + 3*w^2 - 5]', '[73, 73, w^3 - w^2 - 4*w + 2]', '[79, 79, 2*w^3 - 3*w^2 - 6*w + 2]', '[79, 79, 2*w^3 - 3*w^2 - 5*w]', '[81, 3, -3]', '[89, 89, -w^3 + w^2 + 5*w - 3]', '[89, 89, w - 4]', '[97, 97, -3*w^3 + 7*w^2 + 6*w - 5]', '[97, 97, -2*w^3 + 3*w^2 + 7*w - 2]', '[100, 10, w^3 - w^2 - 3*w - 4]', '[100, 10, w^2 + w - 3]', '[103, 103, -w - 3]', '[103, 103, -w^3 + 2*w^2 + 3*w - 5]', '[103, 103, -w^3 + 4*w^2 - w - 5]', '[103, 103, -3*w^3 + 6*w^2 + 7*w - 3]', '[112, 14, -2*w^3 + 6*w^2 + 2*w - 6]', '[112, 14, -2*w^2 + 2*w + 4]', '[113, 113, w^3 - 4*w^2 + w + 4]', '[113, 113, 2*w^2 - 3*w - 4]', '[113, 113, 3*w^3 - 6*w^2 - 7*w + 4]', '[113, 113, -2*w^3 + 6*w^2 + 2*w - 7]', '[119, 119, w^2 - 4]', '[119, 119, 2*w^3 - 5*w^2 - 4*w + 3]', '[119, 119, -w^3 + w^2 + 6*w]', '[119, 119, -w^3 + w^2 + 6*w - 1]', '[137, 137, -w^3 + 4*w^2 - 4]', '[137, 137, w^3 - 4*w^2 + 6]', '[151, 151, -3*w^3 + 8*w^2 + 3*w - 4]', '[151, 151, -2*w^3 + 2*w^2 + 7*w + 4]', '[164, 82, -w^3 + 4*w^2 - 5]', '[167, 167, -2*w^3 + 3*w^2 + 6*w - 3]', '[167, 167, -2*w^3 + 5*w^2 + 2*w - 6]', '[175, 35, 2*w^3 - 4*w^2 - 7*w + 3]', '[175, 35, w^3 - 2*w^2 - 2]', '[175, 35, -w^3 + 2*w^2 + 5*w - 3]', '[175, 35, -3*w^3 + 6*w^2 + 8*w - 2]', '[188, 94, -w^3 + 3*w^2 + 3*w - 6]', '[188, 94, -2*w^3 + 3*w^2 + 5*w + 3]', '[191, 191, w^3 - 2*w^2 - w + 5]', '[191, 191, -w^3 + 5*w^2 - 3*w - 3]', '[193, 193, -w^3 + 2*w^2 + 5*w - 2]', '[193, 193, -2*w^3 + 4*w^2 + 7*w - 4]', '[196, 14, -3*w^2 + 5*w + 3]', '[196, 14, -w^3 + 2*w^2 + 2*w + 3]', '[196, 98, 2*w^3 - 3*w^2 - 7*w + 3]', '[196, 98, -w^3 + 3*w^2 - w - 4]', '[199, 199, -2*w^3 + 5*w^2 + 4*w - 2]', '[199, 199, w^2 - 5]', '[223, 223, -w^3 + 8*w - 2]', '[223, 223, -2*w^3 + 2*w^2 + 9*w]', '[223, 223, -3*w^3 + 5*w^2 + 11*w - 1]', '[223, 223, -w^3 + 4*w^2 + w - 8]', '[233, 233, -3*w^3 + 7*w^2 + 6*w - 4]', '[233, 233, w^3 - w^2 - 2*w - 3]', '[239, 239, -w^3 + 6*w]', '[239, 239, 2*w^3 - 5*w^2 - 4*w + 1]', '[256, 4, 4]', '[257, 257, -3*w^3 + 7*w^2 + 7*w - 5]', '[257, 257, 3*w^3 - 7*w^2 - 5*w + 1]', '[263, 263, w^3 - w^2 - 4*w - 5]', '[263, 263, -2*w^3 + 3*w^2 + 9*w - 4]', '[272, 34, -2*w^3 + 6*w^2 - 6]', '[272, 34, -2*w^3 + 2*w^2 + 8*w]', '[281, 281, -w^3 + 3*w^2 + 4*w - 6]', '[281, 281, 3*w^3 - 7*w^2 - 8*w + 5]', '[284, 142, -3*w^3 + 8*w^2 + 4*w - 5]', '[284, 142, -2*w^3 + 7*w^2 - w - 7]', '[287, 287, w^2 - 4*w - 4]', '[287, 287, -2*w^3 + 3*w^2 + 8*w - 5]', '[289, 17, -3*w^3 + 6*w^2 + 6*w - 4]', '[289, 17, 3*w^3 - 6*w^2 - 6*w + 2]', '[289, 289, -2*w^3 + 3*w^2 + 7*w - 4]', '[289, 289, w^3 - 3*w^2 + w + 5]', '[292, 146, -3*w^3 + 8*w^2 + 6*w - 7]', '[292, 146, w^3 - 4*w^2 - 2*w + 7]', '[292, 146, -3*w^3 + 5*w^2 + 9*w - 4]', '[292, 146, 2*w^3 - 5*w^2 - w + 5]', '[311, 311, -3*w^3 + 5*w^2 + 11*w - 3]', '[311, 311, w - 5]', '[313, 313, -2*w^3 + 6*w^2 + w - 9]', '[313, 313, -w^3 + 3*w^2 + 3*w - 7]', '[316, 158, w^3 - 3*w^2 + w + 6]', '[316, 158, -w^3 + 2*w^2 + 4*w + 3]', '[324, 6, -3*w^3 + 6*w^2 + 6*w - 3]', '[329, 329, 4*w^3 - 8*w^2 - 11*w + 11]', '[329, 329, 3*w^3 - 3*w^2 - 12*w - 2]', '[329, 329, -3*w^3 + 5*w^2 + 8*w - 5]', '[329, 329, -w^3 + 7*w - 1]', '[343, 7, 3*w^3 - 4*w^2 - 7*w - 1]', '[343, 7, -3*w^3 + 7*w^2 + 2*w - 2]', '[343, 49, -w^3 + w^2 + 7*w - 3]', '[343, 49, 2*w^3 - 3*w^2 - 9*w]', '[343, 343, 4*w^3 - 7*w^2 - 11*w + 2]', '[343, 343, -3*w^3 + 7*w^2 + 3*w - 3]', '[356, 178, -3*w^3 + 8*w^2 + 2*w - 7]', '[356, 178, -4*w^3 + 9*w^2 + 7*w - 5]', '[359, 359, 3*w^3 - 6*w^2 - 8*w]', '[359, 359, -w^2 + 3*w - 4]', '[359, 359, w^3 - w^2 - 5*w - 5]', '[359, 359, w^3 - 2*w^2 - 4]', '[383, 383, -4*w^3 + 8*w^2 + 9*w - 3]', '[383, 383, -w^3 + 5*w^2 - 3*w - 7]', '[388, 194, -w^3 + 3*w^2 + 3*w - 8]', '[388, 194, -w^3 + 4*w^2 - 2*w - 7]', '[400, 10, -2*w^3 + 6*w^2 + 4*w - 4]', '[400, 10, -4*w^3 + 8*w^2 + 10*w - 2]', '[401, 401, -3*w^3 + 8*w^2 + 3*w - 9]', '[401, 401, -3*w^3 + 7*w^2 + 6*w - 3]', '[401, 401, w^3 - w^2 - 2*w - 4]', '[401, 401, -2*w^3 + 2*w^2 + 7*w - 1]', '[412, 206, -3*w^3 + 5*w^2 + 7*w - 2]', '[412, 206, -4*w^3 + 9*w^2 + 7*w - 7]', '[412, 206, -2*w^3 + 3*w^2 + 9*w - 3]', '[412, 206, w^2 - w - 7]', '[425, 85, 3*w^3 - 4*w^2 - 11*w + 1]', '[425, 85, 3*w^3 - 6*w^2 - 5*w + 4]', '[425, 85, 2*w^3 - 6*w^2 + w + 5]', '[425, 85, -4*w^3 + 8*w^2 + 9*w - 6]', '[439, 439, -4*w^3 + 9*w^2 + 7*w - 6]', '[439, 439, 3*w^3 - 5*w^2 - 7*w + 1]', '[448, 28, -2*w^3 + 4*w^2 + 8*w - 6]', '[448, 28, 2*w^3 - 4*w^2 - 8*w + 2]', '[449, 449, -4*w^3 + 9*w^2 + 9*w - 6]', '[449, 449, 2*w^3 - 2*w^2 - 11*w - 2]', '[449, 449, -w^3 + 5*w^2 - 3*w - 11]', '[449, 449, -3*w^3 + 5*w^2 + 10*w - 5]', '[452, 226, w^3 - w^2 - 7*w + 2]', '[452, 226, -2*w^3 + 3*w^2 + 9*w - 1]', '[452, 226, w^3 - 3*w^2 - w + 8]', '[452, 226, -3*w^3 + 6*w^2 + 10*w - 7]', '[457, 457, -2*w^3 + 2*w^2 + 9*w - 1]', '[457, 457, w^3 - 4*w^2 + 3*w + 5]', '[463, 463, 3*w^2 - 5*w - 6]', '[463, 463, -w^3 + 5*w^2 - 3*w - 5]', '[476, 238, -3*w^3 + 7*w^2 + 7*w - 4]', '[476, 238, -w^2 - w + 5]', '[476, 238, 3*w^2 - 5*w - 5]', '[476, 238, -w^3 + 5*w^2 - 3*w - 6]', '[479, 479, -2*w^3 + 3*w^2 + 9*w - 2]', '[479, 479, -w^3 + w^2 + 7*w - 1]', '[487, 487, -2*w^2 + 5*w + 6]', '[487, 487, -w^3 + 7*w - 2]', '[487, 487, -w^3 + 6*w - 2]', '[487, 487, -w^3 + 4*w^2 - 2*w - 8]', '[497, 497, 5*w^3 - 13*w^2 - 5*w + 11]', '[497, 497, 6*w^3 - 15*w^2 - 8*w + 11]', '[497, 497, -2*w^3 + 5*w^2 + w - 6]', '[497, 497, -4*w^3 + 8*w^2 + 9*w - 4]', '[503, 503, w^3 - 4*w - 6]', '[503, 503, -3*w^3 + 8*w^2 + 4*w - 4]', '[511, 511, 4*w^3 - 6*w^2 - 10*w + 5]', '[511, 511, 2*w^3 - 6*w^2 - 5*w + 4]', '[511, 511, 3*w^3 - 8*w^2 - 7*w + 12]', '[511, 511, -5*w^3 + 10*w^2 + 12*w - 12]', '[511, 511, -4*w^3 + 11*w^2 + 6*w - 9]', '[511, 511, -3*w^3 + 6*w^2 + 4*w - 8]', '[511, 511, 6*w^3 - 14*w^2 - 10*w + 15]', '[511, 511, 3*w^2 - 2*w - 8]', '[521, 521, 3*w^2 - 4*w - 7]', '[521, 521, 2*w^3 - 7*w^2 + 6]', '[529, 23, -w^3 + 2*w^2 + 2*w - 6]', '[529, 23, w^3 - 2*w^2 - 2*w - 4]', '[548, 274, -w^3 + 2*w^2 + 6*w - 3]', '[548, 274, 3*w^3 - 6*w^2 - 10*w + 5]', '[553, 553, -4*w^3 + 10*w^2 + 9*w - 9]', '[553, 553, -w^3 + 2*w^2 + 6*w - 2]', '[553, 553, 3*w^3 - 7*w^2 - 10*w + 3]', '[553, 553, 2*w^3 - 4*w^2 - 10*w - 1]', '[567, 21, 3*w^3 - 9*w^2 - 3*w + 9]', '[567, 21, 3*w^2 - 3*w - 6]', '[569, 569, 2*w^3 - 7*w^2 - 2*w + 7]', '[569, 569, 4*w^3 - 7*w^2 - 10*w + 4]', '[569, 569, 3*w^3 - 4*w^2 - 13*w]', '[569, 569, 4*w^3 - 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10]', '[647, 647, w^3 - 5*w^2 + 6]', '[656, 82, -2*w^3 + 4*w^2 + 8*w - 4]', '[668, 334, -2*w^3 + 5*w^2 + w - 7]', '[668, 334, -3*w^3 + 5*w^2 + 9*w - 6]', '[673, 673, -5*w^3 + 11*w^2 + 12*w - 8]', '[673, 673, 3*w^3 - 5*w^2 - 10*w + 6]', '[679, 679, -4*w^3 + 7*w^2 + 12*w - 6]', '[679, 679, 5*w^3 - 10*w^2 - 15*w + 14]', '[679, 679, -4*w^3 + 8*w^2 + 12*w - 3]', '[679, 679, 5*w^3 - 12*w^2 - 10*w + 10]', '[697, 697, 4*w^3 - 10*w^2 - 7*w + 7]', '[697, 697, -w^3 + 3*w + 5]', '[700, 70, -3*w^3 + 8*w^2 + 4*w - 3]', '[700, 70, w^3 - 5*w^2 + w + 8]', '[700, 70, -2*w^3 + 7*w^2 + w - 7]', '[700, 70, w^3 - 4*w - 7]', '[719, 719, -3*w^3 + 4*w^2 + 10*w - 2]', '[719, 719, -3*w^3 + 8*w^2 + 2*w - 8]', '[721, 721, w^2 - 2*w - 7]', '[721, 721, 6*w^3 - 16*w^2 - 9*w + 16]', '[721, 721, 4*w^3 - 8*w^2 - 13*w + 10]', '[721, 721, 2*w^3 - 7*w^2 - 2*w + 8]', '[721, 721, -2*w^3 + 7*w^2 + 2*w - 9]', '[721, 721, 2*w^3 - 4*w^2 - 7*w + 10]', '[721, 721, -4*w^3 + 7*w^2 + 14*w - 3]', '[721, 721, w^3 + 2*w^2 - 5*w - 6]', '[727, 727, -w^3 + 5*w^2 - 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w + 13]', '[1513, 1513, w^2 - 2*w + 5]', '[1532, 766, w^3 - w^2 - 3*w - 8]', '[1532, 766, -3*w^3 + 4*w^2 + 14*w - 3]', '[1543, 1543, -4*w^3 + 8*w^2 + 12*w - 1]', '[1543, 1543, 4*w - 7]', '[1552, 194, -6*w^3 + 14*w^2 + 12*w - 10]', '[1552, 194, -4*w^3 + 6*w^2 + 14*w - 4]', '[1561, 1561, 4*w^3 - 8*w^2 - 6*w + 5]', '[1561, 1561, 7*w^3 - 17*w^2 - 12*w + 21]', '[1561, 1561, -7*w^3 + 18*w^2 + 6*w - 12]', '[1561, 1561, -5*w^3 + 11*w^2 + 11*w - 5]', '[1561, 1561, 8*w^3 - 21*w^2 - 9*w + 14]', '[1561, 1561, -7*w^3 + 10*w^2 + 22*w]', '[1561, 1561, 6*w^3 - 12*w^2 - 14*w + 9]', '[1561, 1561, -2*w^3 + 6*w^2 - w - 13]', '[1583, 1583, -6*w^3 + 14*w^2 + 11*w - 8]', '[1583, 1583, -5*w^3 + 9*w^2 + 17*w - 7]', '[1583, 1583, -4*w^3 + 5*w^2 + 16*w - 1]', '[1583, 1583, w^2 - 7*w]', '[1600, 20, 2*w^3 - 2*w^2 - 6*w - 8]', '[1600, 20, 2*w^2 + 2*w - 6]', '[1601, 1601, -2*w^3 + 2*w^2 + 12*w + 1]', '[1601, 1601, 2*w^3 - 2*w^2 - 12*w + 3]', '[1601, 1601, 3*w^3 - 6*w^2 - 7*w - 4]', '[1601, 1601, 2*w^3 - 4*w^2 - 3*w - 6]', '[1604, 802, -4*w^3 + 7*w^2 + 13*w - 9]', '[1604, 802, w^3 - w^2 - w - 6]', '[1604, 802, -4*w^3 + 9*w^2 + 9*w - 3]', '[1604, 802, -w^3 + 3*w^2 - 3*w - 6]', '[1607, 1607, -3*w^3 + 8*w^2 + 2*w - 10]', '[1607, 1607, -w^3 + w^2 + 5*w - 7]', '[1607, 1607, -w^2 + 3*w + 8]', '[1607, 1607, -3*w^3 + 4*w^2 + 10*w - 4]', '[1609, 1609, -w - 6]', '[1609, 1609, 4*w^2 - 6*w - 9]', '[1609, 1609, -w^3 + 2*w^2 + 3*w - 8]', '[1609, 1609, -5*w^3 + 8*w^2 + 15*w - 5]', '[1631, 1631, w^2 - 6*w - 6]', '[1631, 1631, 4*w^3 - 7*w^2 - 14*w + 11]', '[1631, 1631, 3*w^3 - 8*w^2 - w + 8]', '[1631, 1631, -4*w^3 + 6*w^2 + 13*w - 4]', '[1648, 206, -2*w - 6]', '[1648, 206, -2*w^3 + 4*w^2 + 6*w - 10]', '[1648, 206, -2*w^3 + 8*w^2 - 2*w - 10]', '[1648, 206, -6*w^3 + 12*w^2 + 14*w - 6]', '[1649, 1649, -2*w^3 + 2*w^2 + 9*w + 8]', '[1649, 1649, w^3 - 6*w^2 + 4*w + 10]', '[1649, 1649, 6*w^3 - 13*w^2 - 12*w + 8]', '[1649, 1649, 4*w^3 - 7*w^2 - 16*w + 11]', '[1657, 1657, w^3 - 3*w - 7]', '[1657, 1657, -4*w^3 + 10*w^2 + 7*w - 5]', '[1663, 1663, -w^2 + 7*w - 2]', '[1663, 1663, 4*w^3 - 7*w^2 - 12*w + 9]', '[1663, 1663, -5*w^3 + 9*w^2 + 17*w - 5]', '[1663, 1663, -2*w^3 + 5*w^2 - 8]', '[1673, 1673, 4*w^3 - 11*w^2 - 5*w + 6]', '[1673, 1673, -3*w^3 + 7*w^2 + 9*w - 1]', '[1673, 1673, -w^3 - w^2 + 8*w - 2]', '[1673, 1673, 3*w^3 - 2*w^2 - 11*w - 1]', '[1681, 41, -5*w^3 + 10*w^2 + 10*w - 8]', '[1681, 41, 2*w^3 - 4*w^2 - 4*w + 9]', '[1697, 1697, 2*w^3 - 8*w^2 + 13]', '[1697, 1697, 3*w^3 - 4*w^2 - 14*w]', '[1697, 1697, -w^3 + 10*w - 2]', '[1697, 1697, -2*w^3 + 8*w^2 - 7]', '[1700, 170, -3*w^2 + 7*w + 9]', '[1700, 170, w^3 - w^2 - 3*w + 6]', '[1700, 170, w^3 + w^2 - 9*w + 2]', '[1700, 170, -2*w^3 + 5*w^2 + 3*w - 11]', '[1751, 1751, 5*w^3 - 10*w^2 - 13*w + 2]', '[1751, 1751, -w^3 - 2*w^2 + 11*w + 10]', '[1751, 1751, 6*w^3 - 16*w^2 - 6*w + 15]', '[1751, 1751, 4*w^3 - 4*w^2 - 14*w - 1]', '[1751, 1751, 3*w^3 - 4*w^2 - 11*w + 4]', '[1751, 1751, -4*w + 9]', '[1751, 1751, 4*w^3 - 6*w^2 - 16*w + 7]', '[1751, 1751, 2*w^3 - 6*w^2 + w + 8]', '[1756, 878, -w^3 + 2*w^2 + 4*w - 9]', '[1756, 878, -w^3 + 2*w^2 + 4*w + 5]', '[1775, 355, 6*w^3 - 14*w^2 - 9*w + 7]', '[1775, 355, 5*w^3 - 11*w^2 - 6*w + 8]', '[1775, 355, 4*w^3 - 11*w^2 - 2*w + 10]', '[1775, 355, 2*w^3 - 10*w^2 + 8*w + 13]', '[1777, 1777, 5*w^3 - 11*w^2 - 10*w + 2]', '[1777, 1777, 3*w^3 - 5*w^2 - 6*w - 5]', '[1792, 28, -4*w^3 + 12*w^2 + 4*w - 12]', '[1792, 28, -4*w^2 + 4*w + 8]', '[1796, 898, -w^3 + 4*w^2 + 2*w - 11]', '[1796, 898, -7*w^3 + 12*w^2 + 20*w - 1]', '[1796, 898, -7*w^3 + 12*w^2 + 22*w - 7]', '[1796, 898, -3*w^3 + 9*w^2 + w - 12]', '[1799, 1799, -5*w^3 + 8*w^2 + 14*w - 6]', '[1799, 1799, -4*w^2 + 10*w - 1]', '[1799, 1799, 6*w^3 - 12*w^2 - 16*w + 15]', '[1799, 1799, 3*w^3 - 2*w^2 - 14*w - 2]', '[1801, 1801, 3*w^3 - 4*w^2 - 14*w + 2]', '[1801, 1801, w^3 - 10*w]', '[1808, 226, 2*w^3 - 8*w^2 + 2*w + 8]', '[1808, 226, 4*w^2 - 6*w - 8]', '[1808, 226, 6*w^3 - 12*w^2 - 14*w + 8]', '[1808, 226, -4*w^3 + 12*w^2 + 4*w - 14]', '[1823, 1823, -5*w^3 + 11*w^2 + 8*w - 8]', '[1823, 1823, -5*w^3 + 9*w^2 + 12*w - 5]', '[1825, 365, 6*w^3 - 11*w^2 - 10*w + 11]', '[1825, 365, 6*w^3 - 13*w^2 - 12*w + 10]', '[1825, 365, -4*w^3 + 6*w^2 + 7*w - 10]', '[1825, 365, -w^3 + 4*w^2 - w - 12]', '[1825, 365, 3*w^3 - 8*w^2 - 10*w + 8]', '[1825, 365, 6*w^3 - 10*w^2 - 21*w + 4]', '[1825, 365, -2*w^3 + 8*w^2 - 2*w - 9]', '[1825, 365, -2*w^3 + 9*w^2 + 2*w - 8]', '[1828, 914, -w^3 + 5*w^2 - 5*w - 8]', '[1828, 914, 2*w^3 - w^2 - 11*w + 1]', '[1831, 1831, -w^2 + 3*w - 6]', '[1831, 1831, w^3 - w^2 - 5*w - 7]', '[1841, 1841, 3*w^3 - 10*w^2 - w + 12]', '[1841, 1841, -5*w^3 + 9*w^2 + 14*w - 9]', '[1841, 1841, 2*w^3 + w^2 - 12*w - 10]', '[1841, 1841, 6*w^3 - 8*w^2 - 19*w + 1]', '[1849, 43, -6*w^3 + 13*w^2 + 12*w - 9]', '[1849, 43, 4*w^3 - 7*w^2 - 8*w + 2]', '[1852, 926, -3*w^3 + 4*w^2 + 14*w - 1]', '[1852, 926, -w^3 + 10*w - 1]', '[1871, 1871, -2*w^3 + 6*w^2 + 5*w - 12]', '[1871, 1871, -3*w^3 + 8*w^2 + 7*w - 4]', '[1873, 1873, -w^3 + 5*w^2 - 13]', '[1873, 1873, 3*w^3 - 9*w^2 - 4*w + 4]', '[1879, 1879, 6*w^3 - 12*w^2 - 16*w + 5]', '[1879, 1879, 3*w^3 - 4*w^2 - 13*w + 6]', '[1889, 1889, 5*w^3 - 9*w^2 - 15*w + 9]', '[1889, 1889, -6*w^3 + 14*w^2 + 13*w - 11]', '[1904, 238, 2*w^2 - 8]', '[1904, 238, 4*w^3 - 10*w^2 - 8*w + 6]', '[1904, 238, -2*w^3 + 2*w^2 + 12*w]', '[1904, 238, -2*w^3 + 2*w^2 + 12*w - 2]', '[1913, 1913, -7*w^3 + 16*w^2 + 11*w - 17]', '[1913, 1913, -6*w^3 + 10*w^2 + 15*w - 9]', '[1916, 958, -w^3 + 6*w^2 - 4*w - 9]', '[1916, 958, -w^3 + 6*w^2 - 4*w - 7]', '[1921, 1921, 3*w^2 - 7*w - 10]', '[1921, 1921, -5*w^3 + 9*w^2 + 16*w - 10]', '[1921, 1921, -4*w^3 + 9*w^2 + 9*w - 2]', '[1921, 1921, w^3 - 3*w^2 + 4*w - 6]', '[1921, 1921, 5*w^3 - 9*w^2 - 16*w - 1]', '[1921, 1921, -w^3 + w^2 + w + 7]', '[1921, 1921, 5*w^3 - 11*w^2 - 12*w + 6]', '[1921, 1921, 3*w^3 - 7*w^2 - 10*w + 15]', '[1927, 1927, 3*w^2 - 8*w - 7]', '[1927, 1927, 5*w^3 - 12*w^2 - 7*w + 14]', '[1948, 974, -4*w^3 + 5*w^2 + 15*w - 1]', '[1948, 974, 3*w^3 - 9*w^2 + w + 8]', '[1948, 974, -3*w^3 + 8*w^2 - 7]', '[1948, 974, -5*w^3 + 8*w^2 + 16*w - 5]', '[1951, 1951, 3*w^2 - 2*w - 10]', '[1951, 1951, 4*w^3 - 11*w^2 - 6*w + 7]', '[1967, 1967, 8*w^3 - 19*w^2 - 12*w + 19]', '[1967, 1967, -4*w^3 + 8*w^2 + 5*w - 10]', '[1967, 1967, -7*w^3 + 14*w^2 + 17*w - 16]', '[1967, 1967, 6*w^3 - 9*w^2 - 16*w + 6]', '[1975, 395, -w^3 + 7*w^2 + w - 9]', '[1975, 395, w^3 + 3*w^2 - 10*w - 12]', '[1975, 395, 5*w^3 - 6*w^2 - 17*w - 8]', '[1975, 395, 2*w^3 - 3*w - 4]', '[1988, 994, 3*w^3 - 4*w^2 - 14*w + 11]', '[1988, 994, 2*w^3 - 3*w^2 - 11*w + 13]', '[1988, 994, -3*w^3 + 4*w^2 + 10*w - 5]', '[1988, 994, w^2 - w - 9]', '[1993, 1993, 4*w^2 - 5*w - 8]', '[1993, 1993, 4*w^3 - 11*w^2 - 7*w + 8]', '[1993, 1993, -3*w^3 + 10*w^2 + w - 10]', '[1993, 1993, -w^3 + 5*w^2 + w - 11]', '[1999, 1999, -5*w^3 + 12*w^2 + 10*w - 8]', '[1999, 1999, -w^3 + w^2 + 2*w - 6]', '[1999, 1999, w^3 - 2*w - 6]', '[1999, 1999, -3*w^3 + 7*w^2 + 6*w - 13]', '[2009, 287, 2*w^3 - 6*w^2 - 3*w - 2]', '[2009, 287, -w^3 + 6*w^2 - 4*w - 8]', '[2009, 2009, -2*w^2 - w + 7]', '[2009, 2009, -5*w^3 + 12*w^2 + 11*w - 9]', '[2012, 1006, -5*w^3 + 10*w^2 + 14*w - 3]', '[2012, 1006, w^3 - 2*w^2 + 2*w - 5]', '[2023, 119, 4*w^3 - 9*w^2 - 13*w + 12]', '[2023, 119, -2*w^3 + 3*w^2 + 11*w - 6]', '[2023, 119, 3*w^3 - 5*w^2 - 13*w + 1]', '[2023, 119, -3*w^3 + 7*w^2 + 11*w - 5]', '[2023, 2023, -3*w^3 + 4*w^2 + 8*w + 6]', '[2023, 2023, 3*w^3 - 10*w^2 - w + 11]', '[2023, 2023, 4*w^2 - 5*w - 7]', '[2023, 2023, 5*w^3 - 12*w^2 - 8*w + 4]', '[2025, 15, 3*w^3 - 9*w^2 - 6*w + 6]', '[2025, 15, 6*w^3 - 12*w^2 - 15*w + 3]', '[2039, 2039, 4*w^3 - 12*w^2 - 5*w + 13]', '[2039, 2039, -w^3 + 6*w^2 - w - 9]', '[2044, 1022, 3*w^3 - 6*w^2 - 2*w + 11]', '[2044, 1022, -3*w^2 - w + 7]', '[2044, 1022, 7*w^3 - 17*w^2 - 15*w + 16]', '[2044, 1022, -7*w^3 + 16*w^2 + 12*w - 19]', '[2044, 1022, -2*w^3 + 5*w^2 + 9*w - 11]', '[2044, 1022, -5*w^3 + 8*w^2 + 12*w - 9]', '[2044, 1022, 7*w^3 - 14*w^2 - 18*w + 19]', '[2044, 1022, -5*w^3 + 11*w^2 + 15*w - 6]', '[2063, 2063, 5*w^3 - 9*w^2 - 12*w + 2]', '[2063, 2063, 5*w^3 - 11*w^2 - 8*w + 5]', '[2084, 1042, -4*w^3 + 7*w^2 + 15*w - 3]', '[2084, 1042, w^3 - w^2 - 9*w + 4]', '[2089, 2089, 4*w^3 - 9*w^2 - 11*w + 4]', '[2089, 2089, -w^3 + 3*w^2 + 5*w - 9]', '[2089, 2089, -3*w^3 + 3*w^2 + 13*w - 1]', '[2089, 2089, 2*w^3 - 7*w^2 + 3*w + 8]', '[2111, 2111, 5*w^3 - 9*w^2 - 12*w + 4]', '[2111, 2111, -3*w^3 + 8*w^2 + 8*w - 14]', '[2111, 2111, -w^3 + 11*w - 5]', '[2111, 2111, 5*w^3 - 11*w^2 - 8*w + 7]', '[2113, 2113, 6*w^3 - 15*w^2 - 6*w + 8]', '[2113, 2113, -6*w^3 + 9*w^2 + 18*w + 1]', '[2116, 46, -5*w^3 + 10*w^2 + 10*w - 3]', '[2116, 46, -5*w^3 + 10*w^2 + 10*w - 7]', '[2129, 2129, -4*w^3 + 7*w^2 + 6*w - 4]', '[2129, 2129, -8*w^3 + 17*w^2 + 18*w - 15]', '[2143, 2143, -4*w^3 + 10*w^2 + 7*w - 4]', '[2143, 2143, w^3 - 3*w - 8]', '[2153, 2153, -3*w^3 + 3*w^2 + 12*w - 1]', '[2153, 2153, 3*w^3 - 9*w^2 + 10]', '[2153, 2153, 2*w^3 - 3*w^2 - 6*w - 7]', '[2153, 2153, 2*w^3 - 5*w^2 - 2*w - 4]', '[2161, 2161, w^3 - 6*w^2 + 2*w + 10]', '[2161, 2161, -3*w^3 + 10*w^2 + 2*w - 10]', '[2177, 2177, 8*w^3 - 18*w^2 - 16*w + 15]', '[2177, 2177, -w^3 + 6*w^2 - 3*w - 10]', '[2177, 2177, 6*w^3 - 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3]', '[311, 311, w - 5]', '[313, 313, -2*w^3 + 6*w^2 + w - 9]', '[313, 313, -w^3 + 3*w^2 + 3*w - 7]', '[359, 359, 3*w^3 - 6*w^2 - 8*w]', '[359, 359, -w^2 + 3*w - 4]', '[359, 359, w^3 - w^2 - 5*w - 5]', '[359, 359, w^3 - 2*w^2 - 4]', '[383, 383, -4*w^3 + 8*w^2 + 9*w - 3]', '[383, 383, -w^3 + 5*w^2 - 3*w - 7]', '[401, 401, -3*w^3 + 8*w^2 + 3*w - 9]', '[401, 401, -3*w^3 + 7*w^2 + 6*w - 3]', '[401, 401, w^3 - w^2 - 2*w - 4]', '[401, 401, -2*w^3 + 2*w^2 + 7*w - 1]', '[439, 439, -4*w^3 + 9*w^2 + 7*w - 6]', '[439, 439, 3*w^3 - 5*w^2 - 7*w + 1]', '[449, 449, -4*w^3 + 9*w^2 + 9*w - 6]', '[449, 449, 2*w^3 - 2*w^2 - 11*w - 2]', '[449, 449, -w^3 + 5*w^2 - 3*w - 11]', '[449, 449, -3*w^3 + 5*w^2 + 10*w - 5]', '[457, 457, -2*w^3 + 2*w^2 + 9*w - 1]', '[457, 457, w^3 - 4*w^2 + 3*w + 5]', '[463, 463, 3*w^2 - 5*w - 6]', '[463, 463, -w^3 + 5*w^2 - 3*w - 5]', '[479, 479, -2*w^3 + 3*w^2 + 9*w - 2]', '[479, 479, -w^3 + w^2 + 7*w - 1]', '[487, 487, -2*w^2 + 5*w + 6]', '[487, 487, -w^3 + 7*w - 2]', '[487, 487, -w^3 + 6*w - 2]', '[487, 487, -w^3 + 4*w^2 - 2*w - 8]', '[503, 503, w^3 - 4*w - 6]', '[503, 503, -3*w^3 + 8*w^2 + 4*w - 4]', '[521, 521, 3*w^2 - 4*w - 7]', '[521, 521, 2*w^3 - 7*w^2 + 6]', '[529, 23, -w^3 + 2*w^2 + 2*w - 6]', '[529, 23, w^3 - 2*w^2 - 2*w - 4]', '[569, 569, 2*w^3 - 7*w^2 - 2*w + 7]', '[569, 569, 4*w^3 - 7*w^2 - 10*w + 4]', '[569, 569, 3*w^3 - 4*w^2 - 13*w]', '[569, 569, 4*w^3 - 8*w^2 - 11*w + 3]', '[577, 577, 4*w^2 - 7*w - 10]', '[577, 577, w^3 + w^2 - 6*w - 9]', '[593, 593, w^3 - 4*w^2 + 2*w - 2]', '[593, 593, 3*w^3 - 10*w^2 + w + 11]', '[601, 601, -2*w^3 + 4*w^2 + 8*w - 3]', '[601, 601, -2*w^3 + 4*w^2 + 8*w - 5]', '[617, 617, 5*w^3 - 12*w^2 - 11*w + 11]', '[617, 617, 3*w^2 - 4*w - 5]', '[617, 617, -2*w^3 + 7*w^2 - 8]', '[617, 617, 5*w^3 - 10*w^2 - 13*w + 11]', '[631, 631, -3*w^2 + 8*w + 5]', '[631, 631, 2*w^3 - 7*w^2 - w + 10]', '[631, 631, 5*w^3 - 11*w^2 - 10*w + 9]', '[631, 631, 2*w^3 - w^2 - 12*w]', '[641, 641, -3*w^3 + 8*w^2 + 5*w - 5]', '[641, 641, 2*w^2 - w - 7]', '[647, 647, -2*w^3 + 2*w^2 + 11*w - 1]', '[647, 647, 2*w^3 - 2*w^2 - 11*w - 1]', '[647, 647, -3*w^3 + 9*w^2 + 4*w - 10]', '[647, 647, w^3 - 5*w^2 + 6]', '[673, 673, -5*w^3 + 11*w^2 + 12*w - 8]', '[673, 673, 3*w^3 - 5*w^2 - 10*w + 6]', '[719, 719, -3*w^3 + 4*w^2 + 10*w - 2]', '[719, 719, -3*w^3 + 8*w^2 + 2*w - 8]', '[727, 727, -w^3 + 5*w^2 - 2*w - 6]', '[727, 727, -w^3 + 5*w^2 - 2*w - 7]', '[743, 743, -5*w^3 + 10*w^2 + 13*w - 4]', '[743, 743, -4*w^3 + 9*w^2 + 10*w - 6]', '[743, 743, 2*w^3 - 2*w^2 - 10*w + 3]', '[743, 743, w^2 + 2*w - 5]', '[751, 751, -w^3 + 4*w^2 - 3*w - 6]', '[751, 751, 2*w^3 - 2*w^2 - 9*w + 2]', '[761, 761, 4*w^3 - 9*w^2 - 6*w + 4]', '[761, 761, 3*w^3 - 3*w^2 - 12*w - 1]', '[761, 761, 3*w^3 - 9*w^2 + 8]', '[761, 761, 4*w^3 - 7*w^2 - 10*w + 1]', '[769, 769, 4*w^3 - 7*w^2 - 10*w + 3]', '[769, 769, -4*w^3 + 7*w^2 + 14*w - 5]', '[769, 769, 4*w^3 - 9*w^2 - 6*w + 6]', '[769, 769, -w^2 + 6*w]', '[809, 809, -2*w^3 + 2*w^2 + 7*w - 3]', '[809, 809, -3*w^3 + 8*w^2 + 3*w - 11]', '[823, 823, 3*w^3 - 8*w^2 - 7*w + 6]', '[823, 823, -2*w^3 + 6*w^2 + 5*w - 10]', '[839, 839, -3*w^3 + 5*w^2 + 12*w - 1]', '[839, 839, -w^3 + w^2 + 8*w - 4]', '[887, 887, -4*w^3 + 9*w^2 + 5*w - 6]', '[887, 887, -5*w^3 + 9*w^2 + 13*w - 5]', '[919, 919, -4*w^3 + 6*w^2 + 14*w - 3]', '[919, 919, -5*w^3 + 12*w^2 + 9*w - 8]', '[929, 929, -2*w^3 + 3*w^2 + 10*w - 5]', '[929, 929, -2*w^3 + 3*w^2 + 10*w]', '[937, 937, -3*w^3 + 7*w^2 + 8*w - 3]', '[937, 937, -w^3 + 3*w^2 + 4*w - 8]', '[961, 31, -4*w^3 + 8*w^2 + 8*w - 5]', '[961, 31, -4*w^3 + 8*w^2 + 8*w - 3]', '[967, 967, 4*w^3 - 8*w^2 - 7*w + 1]', '[967, 967, -5*w^3 + 10*w^2 + 11*w - 3]', '[977, 977, 3*w^3 - 8*w^2 - w + 7]', '[977, 977, -4*w^3 + 6*w^2 + 13*w - 3]', '[991, 991, w^2 - w - 8]', '[991, 991, -3*w^3 + 5*w^2 + 12*w - 5]']}
72. label: 4.4.2777.1
    {'degree': 4, 'discriminant': 2777, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[4, 4, -w^2 + w + 2]', '[8, 2, -w^3 + w^2 + 4*w - 1]', '[8, 8, w^3 - 2*w^2 - 2*w + 4]', '[11, 11, w^3 - 2*w^2 - 2*w + 1]', '[16, 2, 2]', '[16, 16, -w^3 + 2*w^2 + 3*w - 2]', '[22, 22, 2*w^3 - 3*w^2 - 5*w + 4]', '[23, 23, -w^3 + 4*w + 1]', '[23, 23, -w^2 + 2*w + 3]', '[31, 31, w^3 - 2*w^2 - w + 3]', '[32, 4, 2*w]', '[32, 32, -w^2 + 4]', '[37, 37, -w^3 + 3*w + 3]', '[37, 37, -2*w^3 + 3*w^2 + 6*w - 3]', '[41, 41, w^3 - 2*w^2 - 3*w + 1]', '[41, 41, -2*w^3 + 2*w^2 + 6*w - 1]', '[43, 43, -w^2 + w + 5]', '[44, 44, -w^2 + 2*w + 4]', '[46, 46, w^3 - 3*w^2 - 2*w + 6]', '[46, 46, -w^3 + 3*w^2 + w - 4]', '[47, 47, 2*w^2 - 3*w - 5]', '[53, 53, -w^3 + 3*w^2 + w - 7]', '[53, 53, -2*w^2 + 2*w + 5]', '[59, 59, 2*w^2 - w - 7]', '[61, 61, 2*w^2 - w - 3]', '[61, 61, 2*w^2 - w - 5]', '[62, 62, -w^3 + 5*w]', '[64, 4, w^3 - 3*w^2 - 2*w + 5]', '[64, 8, -2*w^2 + 2*w + 4]', '[64, 64, -w^3 + 4*w]', '[67, 67, 2*w^3 - 2*w^2 - 7*w + 3]', '[67, 67, 2*w^3 - 2*w^2 - 7*w - 1]', '[71, 71, 2*w^3 - 4*w^2 - 4*w + 7]', '[74, 74, 2*w^3 - 3*w^2 - 4*w + 2]', '[74, 74, w^3 - 2*w^2 - w + 4]', '[81, 3, -3]', '[82, 82, w^3 - 3*w - 4]', '[82, 82, -2*w^2 + w + 4]', '[86, 86, -w^3 + w^2 + 5*w]', '[88, 22, -w^3 + 3*w^2 - 5]', '[88, 88, w^3 - w^2 - 5*w + 2]', '[92, 92, w^3 - w^2 - 2*w + 4]', '[92, 92, -2*w^3 + 2*w^2 + 5*w - 2]', '[94, 94, 2*w^3 - 3*w^2 - 5*w]', '[97, 97, -w^3 + 2*w^2 - 3]', '[101, 101, -w^3 + w^2 + 3*w + 3]', '[101, 101, 3*w^3 - 4*w^2 - 9*w + 3]', '[103, 103, -w^3 + 2*w^2 + w - 5]', '[103, 103, -2*w^3 + 4*w^2 + 4*w - 3]', '[106, 106, 2*w^3 - 3*w^2 - 6*w + 2]', '[106, 106, -2*w^3 + 2*w^2 + 5*w]', '[107, 107, -w^3 + w^2 + 5*w - 1]', '[118, 118, 2*w^3 - w^2 - 7*w]', '[121, 121, 2*w^3 - 2*w^2 - 5*w + 1]', '[122, 122, 2*w^3 - w^2 - 5*w]', '[122, 122, 2*w^3 - w^2 - 3*w]', '[124, 124, -w^3 + w^2 + w + 2]', '[127, 127, 2*w^3 - 2*w^2 - 8*w + 1]', '[127, 127, -w^3 + 5*w - 1]', '[128, 4, -2*w^3 + 2*w^2 + 8*w - 2]', '[128, 16, 2*w^3 - 4*w^2 - 4*w + 8]', '[128, 128, -2*w^2 + 3*w + 6]', '[134, 134, w^2 + w - 4]', '[134, 134, w^2 - 3*w - 4]', '[137, 137, w^3 - 6*w - 1]', '[142, 142, -2*w^3 + 4*w^2 + 5*w - 4]', '[148, 148, -w^3 + 2*w^2 + 5*w - 2]', '[148, 148, -2*w^3 + w^2 + 8*w]', '[149, 149, w^3 - 2*w - 3]', '[151, 151, 2*w^3 - 8*w - 3]', '[157, 157, 2*w^3 - w^2 - 6*w - 5]', '[162, 6, -3*w]', '[163, 163, -w^3 + 6*w - 3]', '[164, 164, w^3 - 5*w + 2]', '[164, 164, w^3 + w^2 - 5*w - 2]', '[172, 172, -2*w^3 + 4*w^2 + 3*w - 6]', '[173, 173, -4*w^3 + 5*w^2 + 12*w - 5]', '[176, 22, 2*w^3 - 4*w^2 - 4*w + 2]', '[176, 176, -w^2 + w - 2]', '[181, 181, -2*w^3 + 5*w^2 + 5*w - 9]', '[184, 46, -w^3 + w^2 + 4*w - 5]', '[184, 46, -w^3 - w^2 + 4*w + 1]', '[184, 184, w^3 - 2*w^2 - w - 2]', '[184, 184, -w^2 + w + 6]', '[188, 188, 3*w^3 - 2*w^2 - 9*w - 6]', '[191, 191, w^3 + w^2 - 3*w - 5]', '[193, 193, 2*w^3 - 3*w^2 - 6*w + 1]', '[194, 194, w^3 - 4*w^2 - 2*w + 2]', '[197, 197, 3*w^3 - 4*w^2 - 10*w + 3]', '[199, 199, -3*w^2 + 4*w + 3]', '[199, 199, 2*w^3 - 4*w^2 - 6*w + 11]', '[202, 202, -w^2 + 4*w + 2]', '[202, 202, -w^3 + 3*w^2 - 6]', '[206, 206, w^3 - 3*w^2 - 4*w + 2]', '[206, 206, 2*w^3 - 4*w^2 - w + 4]', '[211, 211, -2*w^2 + 5*w + 5]', '[212, 212, -3*w^2 + 2*w + 4]', '[212, 212, w^3 + w^2 - 4*w - 8]', '[214, 214, w^2 + 2]', '[223, 223, 2*w^2 + w - 5]', '[227, 227, w^2 + w - 5]', '[229, 229, w^3 - 4*w^2 - w + 9]', '[229, 229, 2*w^2 - 2*w - 9]', '[233, 233, -w^3 - 2*w^2 + 6*w + 7]', '[236, 236, w^3 + w^2 - 2*w - 4]', '[242, 242, w^3 - 4*w - 6]', '[244, 244, w^3 - 2*w^2 - 3*w - 2]', '[244, 244, w^3 - 5*w - 6]', '[248, 62, -3*w^3 + 5*w^2 + 8*w - 5]', '[248, 248, 2*w^3 - 3*w^2 - 6*w + 8]', '[251, 251, -w^3 + 3*w + 7]', '[253, 253, 3*w^2 - 3*w - 5]', '[253, 253, -2*w^3 + 3*w^2 + 3*w - 5]', '[254, 254, -w - 4]', '[254, 254, -w^3 + w^2 + 2]', '[256, 4, 4]', '[256, 32, -2*w^3 + 4*w^2 + 6*w - 4]', '[256, 256, -2*w^3 + 3*w^2 + 6*w]', '[257, 257, -2*w^3 + w^2 + 7*w - 1]', '[268, 268, 3*w^3 - 4*w^2 - 9*w + 2]', '[268, 268, 3*w^3 - 13*w - 6]', '[269, 269, 3*w^3 - 4*w^2 - 11*w + 7]', '[274, 274, w^3 - 2*w^2 - 2*w - 2]', '[277, 277, 3*w^3 - 4*w^2 - 7*w + 5]', '[277, 277, 3*w^3 - 2*w^2 - 12*w + 1]', '[277, 277, w^3 - 4*w^2 + 7]', '[277, 277, w^2 - 7]', '[281, 281, 3*w^2 - w - 7]', '[283, 283, -w^3 + 2*w^2 + 2*w - 7]', '[284, 284, 2*w^3 - 3*w^2 - 2*w + 4]', '[293, 293, -3*w^3 + 2*w^2 + 10*w - 1]', '[296, 74, w^3 - w^2 - 6*w + 3]', '[296, 74, w^3 - 3*w^2 - 4*w + 7]', '[296, 296, -3*w^2 + 2*w + 8]', '[296, 296, -w^3 + 2*w + 4]', '[298, 298, w^3 + 2*w^2 - 4*w - 2]', '[302, 302, 2*w^3 - 5*w - 4]', '[307, 307, -3*w^2 + 3*w + 7]', '[307, 307, 2*w^3 - 3*w^2 - 8*w + 5]', '[311, 311, -3*w^3 + 5*w^2 + 7*w - 3]', '[313, 313, w^2 - 2*w + 3]', '[313, 313, 2*w^3 - w^2 - 8*w + 1]', '[314, 314, w^3 + 2*w^2 - 7*w - 4]', '[317, 317, -w^3 - w^2 + 5*w + 1]', '[317, 317, -w^3 + w^2 + 3*w - 5]', '[324, 12, 3*w^2 - 3*w - 6]', '[326, 326, -w^3 + 2*w^2 - 2*w + 2]', '[328, 82, -w^3 + 3*w^2 - 7]', '[328, 82, w^3 - w^2 - 2*w + 5]', '[328, 328, -w^3 + w^2 + 4*w + 4]', '[328, 328, 2*w^3 - 3*w^2 - 8*w + 4]', '[331, 331, w^3 - w - 3]', '[331, 331, -w^3 + 2*w^2 - 5]', '[337, 337, -2*w^3 + 4*w^2 + 3*w - 7]', '[341, 341, w^3 - 4*w^2 - 2*w + 7]', '[344, 86, -3*w^3 + 3*w^2 + 8*w - 3]', '[344, 344, -3*w^3 + 2*w^2 + 9*w + 2]', '[346, 346, w^3 - 4*w^2 - w + 8]', '[347, 347, 3*w^2 - w - 5]', '[349, 349, 2*w^2 - 7]', '[352, 44, 4*w^3 - 6*w^2 - 10*w + 8]', '[352, 352, 3*w^3 - 4*w^2 - 7*w + 2]', '[353, 353, 3*w^2 - 2*w - 5]', '[362, 362, 4*w^3 - 5*w^2 - 14*w + 6]', '[367, 367, 3*w^3 - 2*w^2 - 9*w - 1]', '[368, 46, -2*w^3 + 8*w + 2]', '[368, 46, -2*w^2 + 4*w + 6]', '[368, 368, -3*w^2 + w + 6]', '[368, 368, -w^3 + w^2 + 6*w]', '[376, 94, 5*w^3 - 5*w^2 - 16*w - 1]', '[376, 376, 2*w^2 - w - 10]', '[382, 382, 2*w^3 + w^2 - 6*w - 2]', '[386, 386, -w^3 + 2*w^2 - w - 4]', '[388, 388, 2*w^3 - 2*w^2 - 3*w - 2]', '[389, 389, 2*w^3 - 5*w^2 - 6*w + 11]', '[394, 394, -w^3 + 2*w^2 - 6]', '[398, 398, -3*w^3 + 4*w^2 + 3*w]', '[398, 398, -2*w^3 + 2*w^2 + 9*w - 4]', '[401, 401, -w^3 + 4*w^2 + w - 7]', '[401, 401, 3*w^2 - 2*w - 7]', '[404, 404, -w^3 - 3*w^2 + 8*w + 8]', '[404, 404, 2*w^3 - 4*w^2 - 5*w + 2]', '[407, 407, -2*w^3 + 5*w^2 + 3*w - 11]', '[407, 407, w - 5]', '[409, 409, 3*w^3 - 4*w^2 - 7*w + 3]', '[409, 409, -2*w^3 + 6*w^2 + w - 7]', '[412, 412, w^3 + w^2 - 3*w - 6]', '[412, 412, -3*w^2 + 5*w + 2]', '[421, 421, 2*w^3 - 7*w - 1]', '[421, 421, 4*w^3 - 7*w^2 - 11*w + 9]', '[422, 422, -2*w^3 + 5*w^2 + 5*w]', '[424, 106, 7*w^3 - 9*w^2 - 22*w + 9]', '[424, 106, -w^3 + w^2 + 6*w - 1]', '[424, 424, -5*w^3 + 10*w^2 + 13*w - 22]', '[424, 424, -w^3 - w^2 + 8*w + 4]', '[428, 428, -3*w^3 + 3*w^2 + 8*w]', '[433, 433, w^3 - 3*w^2 - 5*w + 7]', '[439, 439, -w^3 + 7*w - 1]', '[446, 446, 2*w^3 + w^2 - 5*w]', '[451, 451, -w^3 + 3*w^2 + w + 1]', '[451, 451, w^3 - 2*w - 5]', '[454, 454, w^3 + w^2 - 5*w]', '[457, 457, -2*w^3 + 4*w^2 + 5*w - 1]', '[457, 457, 2*w^3 - 4*w^2 - 6*w + 3]', '[458, 458, -3*w^3 + 3*w^2 + 8*w - 2]', '[458, 458, 2*w^3 - 2*w^2 - 9*w]', '[466, 466, -3*w^2 - 2*w + 6]', '[467, 467, -2*w^3 - w^2 + 12*w + 5]', '[467, 467, -3*w^3 + 5*w^2 + 9*w - 5]', '[472, 118, 3*w^3 - 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11]', '[521, 521, w^3 - 2*w - 7]', '[523, 523, 4*w^3 - 7*w^2 - 7*w + 5]', '[523, 523, 2*w^3 - 3*w^2 - 3*w + 7]', '[529, 23, -2*w^3 + 3*w^2 + 2*w + 3]', '[529, 23, 2*w^3 - 5*w^2 - 4*w + 3]', '[529, 529, -2*w^3 + 4*w^2 + 7*w - 3]', '[529, 529, -w^3 + 4*w^2 - w - 9]', '[536, 134, -3*w^3 + 7*w^2 + 8*w - 17]', '[536, 134, w^3 + 3*w^2 - 8*w - 13]', '[536, 536, 4*w^3 - 4*w^2 - 15*w + 2]', '[536, 536, 8*w^3 - 12*w^2 - 23*w + 18]', '[538, 538, -w^3 + w^2 + 4*w - 6]', '[548, 548, 4*w^3 - 4*w^2 - 11*w - 2]', '[554, 554, -3*w^3 + 4*w^2 + 6*w - 2]', '[554, 554, -w^3 + 5*w^2 + 2*w - 6]', '[554, 554, w^3 - 2*w - 6]', '[554, 554, w^3 - 7*w]', '[557, 557, -4*w^3 + 4*w^2 + 13*w - 5]', '[557, 557, -2*w^3 + 2*w^2 + 9*w - 3]', '[562, 562, 3*w^3 - w^2 - 7*w]', '[563, 563, 4*w^3 - 4*w^2 - 15*w + 3]', '[566, 566, w^3 - 2*w^2 - 6*w + 2]', '[568, 142, -3*w^3 + 3*w^2 + 10*w - 7]', '[568, 568, -w^3 - w^2 + 6*w]', '[569, 569, 2*w^2 - 4*w - 7]', '[571, 571, 3*w^3 - 4*w^2 - 6*w + 3]', '[571, 571, w^3 - 7*w - 1]', '[577, 577, -w^2 - 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16]', '[1678, 1678, 2*w^3 + w^2 - 7*w]', '[1681, 41, w^3 - w^2 + w - 5]', '[1681, 41, w^3 + 2*w^2 - 3*w - 9]', '[1681, 1681, 5*w^3 - 6*w^2 - 13*w + 1]', '[1681, 1681, -w^3 - 4*w^2 + 8*w + 13]', '[1682, 58, 2*w^3 - 2*w^2 - 5*w + 8]', '[1682, 58, 2*w^3 - 6*w^2 - 3*w]', '[1684, 1684, 2*w^3 - 7*w^2 - 5*w + 6]', '[1684, 1684, 3*w^3 - 4*w^2 - 11*w - 2]', '[1688, 422, -5*w^3 + 5*w^2 + 16*w + 5]', '[1688, 1688, -2*w^3 + 2*w^2 + 7*w + 6]', '[1693, 1693, -3*w^3 + 2*w^2 + 13*w - 5]', '[1696, 212, 4*w^3 - 6*w^2 - 12*w + 4]', '[1696, 212, -4*w^3 + 4*w^2 + 10*w]', '[1696, 1696, -3*w^3 + 10*w^2 + 4*w - 24]', '[1696, 1696, -w^3 - w^2 + w + 6]', '[1697, 1697, -w^2 + 6*w - 1]', '[1702, 1702, -4*w^3 + 3*w^2 + 11*w]', '[1702, 1702, w^3 + 3*w^2 - 9*w - 4]', '[1702, 1702, -w^3 + w^2 + 4*w + 6]', '[1702, 1702, -w^3 + 4*w^2 - 3*w - 8]', '[1712, 214, -2*w^3 + 2*w^2 + 10*w - 2]', '[1712, 1712, 3*w^3 - 5*w^2 - 5*w + 10]', '[1714, 1714, 4*w^3 - 5*w^2 - 9*w + 4]', '[1723, 1723, -3*w^3 + 8*w^2 + 6*w - 15]', '[1723, 1723, 2*w^3 - 5*w^2 - 7*w + 3]', '[1727, 1727, -6*w^3 + 8*w^2 + 13*w + 1]', '[1732, 1732, 3*w^3 - 5*w^2 - 4*w + 8]', '[1733, 1733, -w^3 + 4*w^2 + 3*w - 13]', '[1739, 1739, 4*w^3 + 3*w^2 - 21*w - 17]', '[1739, 1739, 5*w^3 - 3*w^2 - 21*w - 1]', '[1741, 1741, -w^3 + 6*w^2 - 2*w - 13]', '[1747, 1747, -4*w^3 + 3*w^2 + 15*w - 3]', '[1756, 1756, -5*w^3 + 7*w^2 + 11*w - 2]', '[1762, 1762, 4*w^3 - 4*w^2 - 7*w]', '[1763, 1763, -w^3 + 6*w^2 - w - 7]', '[1763, 1763, 4*w^3 - 5*w^2 - 14*w + 1]', '[1766, 1766, 5*w^2 - 5*w - 8]', '[1766, 1766, 3*w^3 - 5*w^2 - 2*w + 6]', '[1782, 66, -6*w^3 + 9*w^2 + 15*w - 12]', '[1783, 1783, -3*w^3 + 8*w^2 + 5*w - 11]', '[1783, 1783, -4*w^3 + 4*w^2 + 10*w - 3]', '[1784, 446, 5*w^3 - 5*w^2 - 16*w + 7]', '[1784, 1784, -4*w^3 + 10*w^2 + 11*w - 18]', '[1793, 1793, -6*w^3 + 15*w^2 + 5*w - 13]', '[1804, 1804, 3*w^3 - 5*w^2 - 12*w + 8]', '[1804, 1804, -5*w^3 + 8*w^2 + 14*w - 8]', '[1816, 454, 5*w^3 - 5*w^2 - 18*w + 7]', '[1816, 1816, -5*w^3 + 11*w^2 + 12*w - 20]', '[1823, 1823, w^3 - 3*w - 9]', '[1823, 1823, 3*w^3 - 3*w^2 - 13*w + 1]', '[1828, 1828, -w^3 - 4*w^2 + 9*w + 6]', '[1828, 1828, 2*w^3 + w^2 - 9*w - 2]', '[1829, 1829, -2*w^3 + 7*w^2 + 3*w - 15]', '[1831, 1831, -5*w^2 + 5*w + 13]', '[1832, 458, -9*w^3 + 11*w^2 + 28*w - 11]', '[1832, 458, 9*w^3 - 9*w^2 - 32*w + 5]', '[1832, 1832, 6*w^3 - 13*w^2 - 16*w + 28]', '[1832, 1832, -5*w^3 + 12*w^2 + 10*w - 28]', '[1838, 1838, 4*w^3 - 5*w^2 - 6*w + 2]', '[1849, 1849, w^2 - 6*w - 1]', '[1858, 1858, 4*w^3 - 3*w^2 - 10*w + 2]', '[1863, 69, 3*w^3 - 12*w - 3]', '[1863, 69, 3*w^2 - 6*w - 9]', '[1864, 466, 5*w^3 - 11*w^2 - 14*w + 23]', '[1864, 1864, -11*w^3 + 16*w^2 + 31*w - 26]', '[1867, 1867, -2*w^3 + 6*w^2 - w - 9]', '[1867, 1867, 3*w^3 - 8*w^2 - 5*w + 13]', '[1868, 1868, -3*w^3 + w^2 + 12*w]', '[1868, 1868, -8*w^3 + 7*w^2 + 24*w + 8]', '[1871, 1871, -2*w^3 + 5*w^2 - w - 7]', '[1871, 1871, w - 7]', '[1882, 1882, -2*w^3 + w^2 + 4*w + 6]', '[1886, 1886, -2*w^3 + 7*w^2 + w - 12]', '[1886, 1886, -w^3 - 2*w^2 + 7*w]', '[1886, 1886, 4*w^3 - 3*w^2 - 13*w + 4]', '[1886, 1886, 3*w^3 - 3*w^2 - 13*w + 4]', '[1888, 236, 4*w^3 - 2*w^2 - 14*w]', '[1888, 1888, -w^3 + 6*w^2 + 2*w - 12]', '[1891, 1891, 2*w^3 - w^2 - w - 3]', '[1891, 1891, 3*w^2 + w - 9]', '[1892, 1892, -3*w^3 + 8*w^2 + 7*w - 14]', '[1894, 1894, -w^3 - w^2 + w - 4]', '[1894, 1894, -4*w^3 + 4*w^2 + 9*w - 4]', '[1901, 1901, -2*w^3 + 3*w^2 + 7*w - 11]', '[1901, 1901, -5*w^3 + 7*w^2 + 15*w - 5]', '[1903, 1903, 2*w^2 + w - 11]', '[1906, 1906, -2*w^3 - w^2 + w + 4]', '[1907, 1907, 4*w^3 - 4*w^2 - 10*w + 1]', '[1916, 1916, -2*w^3 + 5*w^2 - 8]', '[1916, 1916, 5*w^3 - 5*w^2 - 17*w - 2]', '[1922, 1922, -5*w^3 + 8*w^2 + 10*w - 6]', '[1927, 1927, 6*w^3 - 2*w^2 - 25*w - 7]', '[1927, 1927, -2*w^3 - w^2 + 13*w + 5]', '[1931, 1931, 5*w^3 - 6*w^2 - 17*w + 13]', '[1933, 1933, 4*w^2 - w - 13]', '[1933, 1933, w^3 + w^2 - 5*w - 11]', '[1933, 1933, -3*w^3 + 8*w^2 + 7*w - 13]', '[1933, 1933, -2*w^3 - w^2 + 8*w + 1]', '[1936, 242, 4*w^3 - 4*w^2 - 10*w + 2]', '[1936, 1936, 3*w^2 + 2*w - 8]', '[1942, 1942, 2*w^3 + w^2 - 4*w - 6]', '[1949, 1949, -3*w^3 + 5*w^2 + 5*w - 11]', '[1949, 1949, 2*w^3 - 12*w - 1]', '[1951, 1951, -3*w^3 + 14*w + 3]', '[1951, 1951, 2*w^3 + 2*w^2 - 11*w - 5]', '[1952, 244, 4*w^3 - 2*w^2 - 10*w]', '[1952, 244, 4*w^3 - 2*w^2 - 6*w]', '[1952, 1952, -w^3 + 3*w^2 - 2*w - 8]', '[1952, 1952, -w^3 + 5*w^2 - 2*w - 16]', '[1954, 1954, 4*w^3 - 5*w^2 - 8*w + 2]', '[1961, 1961, -2*w^3 + 7*w^2 + w - 9]', '[1961, 1961, -3*w^3 + 6*w^2 + 9*w - 5]', '[1961, 1961, 2*w^3 + 4*w^2 - 12*w - 17]', '[1961, 1961, 10*w^3 - 13*w^2 - 33*w + 17]', '[1966, 1966, w^3 + 3*w^2 - 6*w - 2]', '[1966, 1966, w^3 + 2*w^2 - 6]', '[1973, 1973, 6*w^3 - 6*w^2 - 17*w - 3]', '[1978, 1978, 3*w^3 - 2*w^2 - 14*w + 2]', '[1978, 1978, -2*w^3 + 7*w^2 + 2*w - 14]', '[1979, 1979, 5*w^3 - 4*w^2 - 15*w - 3]', '[1979, 1979, 5*w^2 - 3*w - 7]', '[1982, 1982, -4*w^3 + w^2 + 7*w + 4]', '[1982, 1982, 2*w^3 - 7*w^2 - 5*w + 12]', '[1984, 124, w^3 + w^2 - 6*w - 11]', '[1984, 248, -2*w^3 + 2*w^2 + 2*w + 4]', '[1984, 1984, -4*w^3 + 5*w^2 + 8*w - 4]', '[1987, 1987, w^3 + 3*w^2 - 7*w - 3]', '[1991, 1991, -3*w^3 + 2*w^2 + 11*w - 5]', '[1996, 1996, 3*w^3 - 6*w^2 - 8*w + 4]', '[1996, 1996, -w^3 + 6*w^2 - 2*w - 8]', '[1996, 1996, 3*w^3 - 6*w^2 + w + 6]', '[1996, 1996, 4*w^3 - w^2 - 9*w - 2]', '[1999, 1999, 7*w^3 - 11*w^2 - 23*w + 19]', '[2003, 2003, -2*w^3 + 6*w^2 + w - 13]', '[2003, 2003, -4*w^3 + 7*w^2 + 7*w - 11]', '[2003, 2003, -2*w^3 + w^2 + 11*w - 1]', '[2003, 2003, -4*w^3 + 7*w^2 + 10*w - 5]', '[2008, 502, -7*w^3 + 5*w^2 + 28*w - 1]', '[2008, 2008, 4*w^3 - 11*w^2 - 6*w + 24]', '[2011, 2011, -3*w^3 + 8*w^2 + 4*w - 17]', '[2012, 2012, 3*w^3 - 7*w^2 - 6*w + 4]', '[2017, 2017, 2*w^2 - 7*w - 3]', '[2018, 2018, 4*w^3 - 4*w^2 - 9*w]', '[2021, 2021, 3*w^3 + 4*w^2 - 18*w - 21]', '[2024, 506, 5*w^3 - 5*w^2 - 14*w - 1]', '[2024, 506, 5*w^3 - 9*w^2 - 14*w + 11]', '[2024, 2024, w^3 + w^2 - 2*w - 8]', '[2024, 2024, 4*w^3 - 6*w^2 - 11*w + 2]', '[2026, 2026, 2*w^3 + 3*w^2 - 6*w - 2]', '[2026, 2026, 3*w^3 - 5*w^2 - 10*w + 2]', '[2026, 2026, 5*w^3 - 7*w^2 - 6*w + 2]', '[2026, 2026, -w^3 + 6*w^2 - 6*w - 10]', '[2027, 2027, -4*w^3 + 7*w^2 + 12*w - 7]', '[2029, 2029, -w^3 - 2*w^2 + 7*w - 1]', '[2029, 2029, 3*w^3 - 6*w^2 - 5*w + 13]', '[2032, 254, 4*w^3 - 4*w^2 - 16*w + 2]', '[2032, 254, -2*w^3 + 10*w - 2]', '[2032, 2032, 3*w^3 - 8*w^2 - 6*w + 12]', '[2032, 2032, -3*w^3 + 6*w^2 + 5*w - 14]', '[2036, 2036, w^3 + 4*w^2 - 8*w - 12]', '[2036, 2036, 6*w^3 - 4*w^2 - 23*w - 10]', '[2038, 2038, 2*w^3 - 5*w^2 - 7*w]', '[2038, 2038, 3*w^3 - 7*w^2 - 6*w + 2]', '[2042, 2042, 3*w^3 - 5*w^2 - 9*w]', '[2048, 8, -4*w^3 + 4*w^2 + 16*w - 4]', '[2048, 32, 4*w^3 - 8*w^2 - 8*w + 16]', '[2048, 256, -4*w^2 + 6*w + 12]', '[2048, 2048, -3*w^3 + 3*w^2 + 13*w - 2]', '[2053, 2053, 5*w^3 - 8*w^2 - 10*w + 7]', '[2056, 514, w^3 - 5*w^2 - 2*w + 15]', '[2056, 2056, -7*w^3 + 9*w^2 + 20*w - 12]', '[2062, 2062, 8*w^3 - 11*w^2 - 25*w + 12]', '[2063, 2063, 2*w^3 - 7*w^2 - 3*w + 9]', '[2063, 2063, 3*w^2 - 11]', '[2068, 2068, 5*w^3 - w^2 - 20*w - 16]', '[2069, 2069, -2*w^3 + 7*w^2 + w - 19]', '[2069, 2069, -3*w^3 + 3*w^2 + 13*w - 3]', '[2077, 2077, 2*w^3 - w^2 - 11*w - 1]', '[2077, 2077, 6*w^3 - 9*w^2 - 15*w + 11]', '[2081, 2081, -4*w^3 + 5*w^2 + 8*w - 3]', '[2081, 2081, -4*w^3 + 8*w^2 + 9*w - 7]', '[2084, 2084, 3*w^3 - 4*w^2 - 3*w - 2]', '[2084, 2084, -3*w^3 + 2*w^2 + 11*w - 6]', '[2089, 2089, 5*w^3 - 12*w^2 - 8*w + 21]', '[2092, 2092, -w^3 - 2*w^2 + 2*w + 8]', '[2092, 2092, -w^3 + 6*w^2 - 8*w - 4]', '[2099, 2099, w^3 + 4*w^2 - 6*w - 17]', '[2101, 2101, -4*w^3 + 3*w^2 + 10*w + 1]', '[2102, 2102, 2*w^3 + w^2 - 10*w - 2]', '[2102, 2102, -w^3 + 3*w^2 + w - 12]', '[2113, 2113, 5*w^3 - 6*w^2 - 13*w + 7]', '[2116, 92, 2*w^3 - 9*w^2 + 6*w + 12]', '[2116, 92, -3*w^3 + 5*w^2 + 9*w - 14]', '[2116, 2116, -2*w^3 + 4*w^2 - w - 6]', '[2116, 2116, -3*w^3 + 11*w + 2]', '[2122, 2122, w^3 - 10*w^2 - w + 8]', '[2123, 2123, -2*w^3 + 4*w^2 + 3*w + 3]', '[2126, 2126, 4*w^3 - 6*w^2 - 13*w + 4]', '[2129, 2129, -5*w^3 + 12*w^2 + 9*w - 21]', '[2131, 2131, -2*w^3 + 7*w^2 + w - 11]', '[2134, 2134, -2*w^3 + 9*w - 4]', '[2137, 2137, -w^3 + 3*w^2 - 3*w - 7]', '[2137, 2137, -4*w^3 + 8*w^2 + 11*w - 9]', '[2138, 2138, 2*w^3 - w^2 - 11*w]', '[2144, 268, 2*w^2 + 2*w - 8]', '[2144, 268, 2*w^2 - 6*w - 8]', '[2144, 2144, 7*w^3 - 5*w^2 - 24*w - 4]', '[2144, 2144, 7*w^3 - 9*w^2 - 24*w + 12]', '[2152, 538, -5*w^3 + 11*w^2 + 12*w - 17]', '[2152, 2152, -2*w^3 + 7*w^2 + w - 10]', '[2153, 2153, 4*w^3 - 5*w^2 - 7*w + 3]', '[2153, 2153, 3*w^3 - 2*w^2 - 12*w + 5]', '[2153, 2153, -w^2 + w - 5]', '[2153, 2153, 3*w^3 - 8*w^2 - 6*w + 13]', '[2161, 2161, w^2 - 2*w - 9]', '[2161, 2161, -4*w^3 + 4*w^2 + 14*w - 9]', '[2162, 2162, -3*w^3 + 4*w^2 + 4*w + 6]', '[2162, 2162, w^3 + 3*w^2 - 5*w - 16]', '[2167, 2167, -w^2 + w + 9]', '[2173, 2173, -4*w^3 + 4*w^2 + 16*w - 3]', '[2173, 2173, -4*w^3 + 3*w^2 + 10*w - 1]', '[2173, 2173, 3*w^3 - 13*w - 3]', '[2173, 2173, 9*w^3 - 9*w^2 - 31*w + 7]', '[2179, 2179, 5*w^3 - 5*w^2 - 15*w + 9]', '[2183, 2183, w^3 - 4*w^2 - 4*w + 11]', '[2183, 2183, 4*w^3 - 7*w^2 - 15*w + 9]', '[2189, 2189, -4*w^3 + 14*w^2 - 3*w - 11]', '[2189, 2189, 7*w^3 - 12*w^2 - 16*w + 11]', '[2192, 274, 2*w^3 - 12*w - 2]', '[2192, 2192, -2*w^3 + 5*w^2 + w - 10]', '[2201, 2201, 3*w^3 - 4*w^2 - 11*w + 13]', '[2203, 2203, 5*w^3 - 4*w^2 - 18*w + 3]', '[2207, 2207, -4*w^3 + 9*w^2 + 4*w - 11]', '[2207, 2207, -5*w^3 + 11*w^2 + 11*w - 17]', '[2209, 2209, 2*w^3 - 9*w + 3]', '[2216, 554, -5*w^3 + 11*w^2 + 12*w - 19]', '[2216, 554, -3*w^3 + 7*w^2 + 4*w - 13]', '[2216, 554, -w^3 + w^2 + 8*w - 3]', '[2216, 554, 5*w^3 - 7*w^2 - 12*w + 7]', '[2216, 2216, 5*w^2 - 8*w - 12]', '[2216, 2216, 8*w^3 - 11*w^2 - 24*w + 20]', '[2216, 2216, 5*w^3 - 6*w^2 - 12*w]', '[2216, 2216, -3*w^2 + 8*w + 4]', '[2218, 2218, w^3 + 4*w^2 - 5*w - 8]', '[2218, 2218, -2*w^3 + 5*w^2 + 5*w - 16]', '[2221, 2221, 3*w^3 - 6*w^2 - 10*w + 5]', '[2222, 2222, 5*w^3 - 7*w^2 - 12*w + 6]', '[2222, 2222, -3*w^2 + 8*w + 2]', '[2228, 2228, 5*w^3 - 6*w^2 - 13*w + 2]', '[2228, 2228, -5*w^3 + 6*w^2 + 17*w - 2]', '[2231, 2231, 4*w^3 - 3*w^2 - 9*w - 1]', '[2231, 2231, 2*w^3 - 4*w^2 - 5*w - 3]', '[2237, 2237, w^3 - 3*w^2 - w - 3]', '[2239, 2239, -4*w^3 + 9*w^2 + 12*w - 19]', '[2243, 2243, -4*w^3 + 4*w^2 + 9*w - 3]', '[2243, 2243, -7*w^3 + 10*w^2 + 22*w - 11]', '[2248, 562, 7*w^3 - 7*w^2 - 22*w + 5]', '[2248, 2248, -3*w^3 + 9*w^2 + 8*w - 20]', '[2251, 2251, 5*w^2 - 5*w - 9]', '[2252, 2252, 7*w^3 - 6*w^2 - 23*w - 2]', '[2257, 2257, 7*w^3 - 7*w^2 - 23*w + 7]', '[2257, 2257, 3*w^3 - w^2 - 11*w + 1]', '[2257, 2257, 2*w^3 + w^2 - 13*w - 13]', '[2257, 2257, w^2 - 7*w - 7]', '[2264, 566, 7*w^3 - 9*w^2 - 24*w + 11]', '[2264, 2264, -7*w^3 + 13*w^2 + 17*w - 26]', '[2266, 2266, -2*w^3 + 3*w^2 + 11*w - 12]', '[2266, 2266, -7*w^3 + 9*w^2 + 21*w - 16]', '[2269, 2269, -3*w^3 + 7*w^2 + 3*w - 11]', '[2269, 2269, w^3 + w - 5]', '[2272, 284, -4*w^3 + 8*w^2 + 10*w - 8]', '[2272, 2272, 3*w^3 - 3*w^2 - 9*w + 10]', '[2273, 2273, 2*w^3 - 2*w^2 - 7*w + 9]', '[2273, 2273, -4*w^3 + 10*w^2 + 10*w - 19]', '[2276, 2276, -2*w^3 + w^2 - 2*w - 4]', '[2279, 2279, -2*w^3 + 10*w^2 - w - 29]', '[2279, 2279, 2*w + 7]', '[2281, 2281, -w^3 + 6*w^2 + w - 13]', '[2284, 2284, 5*w^3 - 5*w^2 - 13*w - 2]', '[2284, 2284, 2*w^2 - 7*w - 2]', '[2294, 2294, w^3 - 4*w + 6]', '[2294, 2294, 4*w^3 - 7*w^2 - 8*w + 14]', '[2297, 2297, 2*w^3 - 2*w^2 - 5*w - 7]', '[2308, 2308, 5*w^2 - 4*w - 8]', '[2321, 2321, -2*w^3 + 8*w^2 - 8*w - 9]', '[2323, 2323, -4*w^3 - w^2 + 18*w + 9]', '[2323, 2323, -2*w^3 - 3*w^2 + 15*w + 13]', '[2323, 2323, 5*w^3 - 10*w^2 - 9*w + 15]', '[2323, 2323, 4*w^3 - 4*w^2 - 9*w + 1]', '[2326, 2326, -5*w^2 + w + 8]', '[2326, 2326, w^3 - 6]', '[2332, 2332, -w^3 + w^2 + 4*w - 8]', '[2332, 2332, w^3 + 4*w^2 - 8*w - 20]', '[2333, 2333, -5*w^3 + 8*w^2 + 18*w - 15]', '[2339, 2339, -3*w^3 + 16*w + 5]', '[2339, 2339, 2*w^3 + 2*w^2 - 7*w - 11]', '[2342, 2342, 3*w^3 - w^2 - 5*w - 4]', '[2344, 586, w^3 - 7*w^2 + 21]', '[2344, 2344, -9*w^3 + 11*w^2 + 27*w - 14]', '[2351, 2351, -w^3 + 4*w^2 - 2*w - 11]', '[2351, 2351, 2*w^3 - 3*w^2 - 10*w + 5]', '[2354, 2354, -5*w^3 + 11*w^2 + 12*w - 18]', '[2362, 2362, 5*w^3 - 6*w^2 - 11*w + 8]', '[2362, 2362, -w^3 + 6*w^2 - w - 8]', '[2368, 148, w^3 - 3*w^2 + 2*w + 9]', '[2368, 148, -w^3 + 3*w^2 + 2*w + 3]', '[2368, 296, -2*w^3 + 4*w^2 + 10*w - 4]', '[2368, 296, -4*w^3 + 2*w^2 + 16*w]', '[2368, 2368, 2*w^3 - 7*w^2 - 3*w + 14]', '[2368, 2368, 5*w^3 - 8*w^2 - 13*w + 6]', '[2369, 2369, w^3 - 6*w^2 + 2*w + 9]', '[2369, 2369, 5*w^3 - 3*w^2 - 15*w - 1]', '[2369, 2369, -3*w^2 + 8*w + 3]', '[2369, 2369, w^3 - 6*w - 9]', '[2371, 2371, 4*w^3 - w^2 - 19*w - 7]', '[2371, 2371, -3*w^3 + 2*w^2 + 14*w - 1]', '[2372, 2372, 5*w^3 - 4*w^2 - 15*w - 2]', '[2372, 2372, 2*w^3 - w^2 - 2*w - 4]', '[2381, 2381, -3*w^3 - 2*w^2 + 13*w + 7]', '[2383, 2383, 2*w^3 - w^2 - 3*w - 5]', '[2384, 298, 2*w^3 - 4*w - 6]', '[2384, 2384, 4*w^3 - 3*w^2 - 9*w + 2]', '[2386, 2386, 2*w^3 - 5*w^2 - 8*w + 2]', '[2389, 2389, -w^2 - 5]', '[2389, 2389, 4*w^3 - 6*w^2 - 12*w + 3]', '[2389, 2389, 7*w^3 - 11*w^2 - 23*w + 17]', '[2389, 2389, 4*w^3 - w^2 - 15*w - 3]', '[2396, 2396, 5*w^3 - 3*w^2 - 21*w - 2]', '[2401, 7, -7]', '[2404, 2404, -5*w^2 + 5*w + 2]', '[2404, 2404, 5*w^3 - 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21*w + 2]', '[5476, 5476, 2*w^3 - 2*w^2 - 5*w + 10]', '[5476, 5476, 7*w^3 - 9*w^2 - 19*w + 10]', '[5477, 5477, 3*w^3 - 2*w^2 - 15*w + 1]', '[5477, 5477, 7*w^3 - 7*w^2 - 25*w + 9]', '[5479, 5479, -2*w^3 + 7*w^2 + 5*w - 21]', '[5479, 5479, 4*w^3 - w^2 - 11*w - 9]', '[5489, 5489, -2*w^3 + 9*w^2 - 9*w - 7]', '[5489, 5489, -5*w^3 + 12*w^2 + 7*w - 7]', '[5489, 5489, 3*w^3 - 10*w^2 - 3*w + 11]', '[5489, 5489, -3*w^3 + 9*w + 11]', '[5492, 5492, 5*w^3 - 5*w^2 - 13*w - 10]', '[5494, 5494, -10*w^3 + 5*w^2 + 36*w + 14]', '[5494, 5494, 6*w^3 - w^2 - 23*w - 8]', '[5494, 5494, -6*w^3 + 5*w^2 + 24*w - 2]', '[5494, 5494, 6*w^3 - 9*w^2 - 19*w + 8]', '[5501, 5501, -5*w^3 + 6*w^2 + 9*w - 3]', '[5501, 5501, -w^3 + 4*w^2 + 7*w - 11]', '[5504, 172, -6*w^3 + 6*w^2 + 16*w - 6]', '[5504, 688, -6*w^3 + 4*w^2 + 18*w + 4]', '[5504, 5504, -2*w^3 - 2*w^2 + 5*w + 10]', '[5506, 5506, w^3 + w^2 - 11*w - 4]', '[5506, 5506, 3*w^3 - 2*w^2 - 15*w]', '[5507, 5507, -4*w^3 + 9*w^2 + 4*w - 13]', '[5513, 5513, 3*w^3 - 3*w^2 - 13*w - 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13]', '[5563, 5563, -4*w^3 + 9*w^2 + 6*w - 17]', '[5566, 5566, -w^3 + 10*w - 2]', '[5566, 5566, 3*w^3 - 10*w^2 - w + 12]', '[5569, 5569, 5*w^3 - 4*w^2 - 21*w - 1]', '[5578, 5578, -2*w^3 + w^2 - 2*w - 6]', '[5578, 5578, -4*w^3 + 7*w^2 + 11*w]', '[5581, 5581, -w^3 + 8*w^2 - 4*w - 19]', '[5581, 5581, -6*w^3 + 5*w^2 + 17*w + 3]', '[5582, 5582, -w^3 + 2*w^2 - 6*w - 2]', '[5582, 5582, 3*w^3 - 8*w^2 - 8*w + 6]', '[5584, 698, 4*w^2 - 14]', '[5584, 5584, 7*w^3 - 8*w^2 - 19*w + 10]', '[5587, 5587, 7*w^3 - 2*w^2 - 33*w - 17]', '[5587, 5587, 2*w^3 + 5*w^2 - 12*w - 19]', '[5588, 5588, 8*w^3 - 7*w^2 - 30*w - 4]', '[5588, 5588, -6*w^3 + 6*w^2 + 17*w - 2]', '[5596, 5596, 5*w^3 - 3*w^2 - 11*w + 2]', '[5599, 5599, -2*w^3 - 5*w^2 + 13*w + 13]', '[5599, 5599, -5*w^3 + 8*w^2 + 13*w - 3]', '[5602, 5602, 5*w^3 - 4*w^2 - 12*w + 2]', '[5602, 5602, 5*w^3 - 2*w^2 - 11*w]', '[5606, 5606, w^3 + 5*w^2 - 10*w - 6]', '[5606, 5606, 3*w^3 - w^2 - 7*w - 8]', '[5608, 1402, w^3 + 5*w^2 - 8*w - 13]', '[5608, 1402, -7*w^3 + 15*w^2 + 16*w - 25]', '[5608, 5608, 10*w^3 - 14*w^2 - 31*w + 26]', '[5608, 5608, 4*w^3 - w^2 - 14*w]', '[5611, 5611, -4*w^2 + 5*w + 19]', '[5612, 5612, 4*w^3 - 7*w^2 - 17*w + 6]', '[5612, 5612, -w^3 + 9*w^2 + 3*w - 18]', '[5612, 5612, -3*w^2 - 7*w + 2]', '[5612, 5612, w^3 + 7*w^2 - w - 10]', '[5617, 5617, w^3 - 5*w^2 + 5*w + 11]', '[5617, 5617, w^3 + 6*w^2 - 10*w - 19]', '[5618, 106, 3*w^3 - 7*w^2 - 9*w + 4]', '[5618, 106, 3*w^3 - 8*w^2 - 7*w + 4]', '[5618, 5618, 5*w^3 - 4*w^2 - 9*w]', '[5618, 5618, 3*w^3 - 4*w^2 + 2*w + 6]', '[5632, 88, 8*w^3 - 12*w^2 - 20*w + 16]', '[5632, 88, -w^3 + 3*w^2 + 6*w - 13]', '[5632, 704, 6*w^3 - 8*w^2 - 14*w + 4]', '[5632, 5632, 2*w^2 + 3*w - 10]', '[5638, 5638, 3*w^3 - 6*w^2 - 2*w + 10]', '[5639, 5639, 5*w^3 - 5*w^2 - 9*w + 1]', '[5648, 706, 6*w^2 - 4*w - 10]', '[5648, 5648, 3*w^3 + w^2 - 10*w]', '[5651, 5651, -4*w^3 + 8*w^2 + 12*w - 7]', '[5651, 5651, 5*w^3 - 4*w^2 - 18*w - 11]', '[5651, 5651, -3*w^3 + 17*w + 5]', '[5651, 5651, -2*w^3 + 14*w - 3]', '[5654, 5654, -7*w^3 + 12*w^2 + 16*w - 22]', '[5659, 5659, -4*w^3 + 8*w^2 + 4*w - 11]', '[5659, 5659, 3*w^3 - 4*w^2 - 14*w + 3]', '[5669, 5669, 4*w^3 - 3*w^2 - 18*w - 1]', '[5671, 5671, 7*w^3 - 7*w^2 - 21*w + 1]', '[5671, 5671, -4*w^3 + 2*w^2 + 13*w - 5]', '[5672, 1418, -w^3 + 9*w^2 - 6*w - 21]', '[5672, 5672, 6*w^3 - 5*w^2 - 23*w + 6]', '[5674, 5674, -2*w^3 + 6*w^2 - w - 12]', '[5683, 5683, 2*w^3 - w^2 - 3*w - 9]', '[5683, 5683, -2*w^3 + 2*w^2 + 12*w - 5]', '[5687, 5687, -4*w^3 - w^2 + 20*w + 7]', '[5689, 5689, -5*w^3 + 5*w^2 + 11*w - 1]', '[5692, 5692, 3*w^3 - 5*w - 6]', '[5693, 5693, -4*w^3 + 11*w^2 + 5*w - 23]', '[5702, 5702, -3*w^3 + 3*w^2 + 3*w + 4]', '[5702, 5702, 5*w^3 - 10*w^2 - 11*w + 8]', '[5704, 1426, w^3 - 7*w^2 + 2*w + 15]', '[5704, 1426, -3*w^3 + w^2 + 16*w + 1]', '[5704, 5704, -5*w^3 + 4*w^2 + 17*w - 6]', '[5704, 5704, 3*w^3 - 7*w^2 - 3*w + 14]', '[5711, 5711, w^2 - 3*w - 11]', '[5714, 5714, -2*w^3 + 8*w^2 + w - 12]', '[5714, 5714, -4*w^3 + 3*w^2 + 18*w - 2]', '[5716, 5716, -2*w^3 + 9*w^2 - w - 10]', '[5717, 5717, -2*w^3 - 3*w^2 + 14*w + 5]', '[5723, 5723, 6*w^2 - 4*w - 15]', '[5731, 5731, -8*w^3 + 13*w^2 + 15*w - 5]', '[5731, 5731, -2*w^3 + 10*w - 9]', '[5732, 5732, w^3 + 5*w^2 - 6*w - 12]', '[5734, 5734, -w^3 + 8*w^2 + 2*w - 10]', '[5734, 5734, w^2 - 8*w + 2]', '[5743, 5743, -4*w^3 + 2*w^2 + 17*w - 3]', '[5749, 5749, 2*w^3 - 2*w^2 - 5]', '[5749, 5749, -w^3 + 4*w^2 - 6*w - 9]', '[5751, 213, -3*w - 9]', '[5752, 1438, 3*w^3 - w^2 - 16*w - 3]', '[5752, 5752, -2*w^3 + 5*w^2 - 12]', '[5753, 5753, -7*w^3 + 16*w^2 + w - 3]', '[5753, 5753, w^3 - 2*w^2 - 9*w + 3]', '[5756, 5756, 4*w^3 - 10*w^2 - 7*w + 6]', '[5756, 5756, 2*w^3 - 5*w^2 + w + 10]', '[5758, 5758, w^3 - 7*w^2 - 7*w + 4]', '[5762, 5762, 3*w^3 + 2*w^2 - 18*w - 18]', '[5762, 5762, -w^3 + 6*w^2 + 2*w - 18]', '[5773, 5773, -7*w^3 + w^2 + 31*w + 11]', '[5773, 5773, -3*w^3 - 6*w^2 + 22*w + 23]', '[5783, 5783, -w^3 + 8*w^2 - 5*w - 11]', '[5783, 5783, -6*w^3 + 5*w^2 + 21*w - 5]', '[5791, 5791, -3*w^3 + 3*w^2 + 15*w + 1]', '[5792, 724, 8*w^3 - 10*w^2 - 28*w + 12]', '[5792, 5792, -8*w^3 + 15*w^2 + 19*w - 30]', '[5801, 5801, 6*w^2 - 5*w - 11]', '[5804, 5804, 2*w^3 - 4*w^2 - w - 6]', '[5804, 5804, -3*w^3 + 7*w^2 + 2*w - 12]', '[5806, 5806, -5*w^3 + 5*w^2 + 4*w - 6]', '[5806, 5806, 2*w^3 + 2*w^2 - 9*w]', '[5807, 5807, 4*w^3 + 2*w^2 - 22*w - 9]', '[5807, 5807, -8*w^3 + 14*w^2 + 23*w - 19]', '[5809, 5809, 9*w^3 - 4*w^2 - 34*w - 21]', '[5809, 5809, 9*w^3 - 8*w^2 - 29*w - 3]', '[5812, 5812, 2*w^3 + 2*w^2 - 11*w - 2]', '[5812, 5812, 7*w^3 - 8*w^2 - 20*w + 4]', '[5813, 5813, -2*w^3 + 3*w^2 - 2*w - 7]', '[5816, 1454, w^3 - 7*w^2 + 4*w + 23]', '[5816, 1454, 11*w^3 - 15*w^2 - 32*w + 13]', '[5816, 5816, -8*w^3 + 11*w^2 + 28*w - 12]', '[5816, 5816, -6*w^3 + 12*w^2 + 17*w - 30]', '[5819, 253, 10*w^3 - 20*w^2 - 11*w + 9]', '[5819, 253, 5*w^3 - 4*w^2 - 11*w + 3]', '[5819, 5819, -2*w^2 - 5]', '[5819, 5819, -w^3 - 3*w^2 + 13*w + 3]', '[5822, 5822, -w^3 - w^2 + 4*w - 6]', '[5822, 5822, 2*w^3 - 6*w^2 - 7*w + 16]', '[5828, 5828, -w^3 + 10*w^2 - 10*w - 16]', '[5834, 5834, -3*w^3 + 2*w^2 + 3*w + 4]', '[5836, 5836, -6*w^3 + 6*w^2 + 13*w + 6]', '[5836, 5836, 6*w^2 - 3*w - 10]', '[5839, 5839, -5*w^3 + 9*w^2 + 15*w - 9]', '[5839, 5839, 3*w^2 + w - 13]', '[5842, 5842, -7*w^3 + 9*w^2 + 19*w - 8]', '[5842, 5842, 7*w^3 - 14*w^2 - 13*w + 12]', '[5842, 5842, 11*w^3 - 13*w^2 - 34*w + 14]', '[5842, 5842, -8*w^3 + 13*w^2 + 23*w - 16]', '[5843, 5843, -3*w^3 + w^2 + 13*w - 5]', '[5843, 5843, 7*w^3 - 9*w^2 - 19*w + 9]', '[5843, 5843, -4*w^3 + 11*w^2 + 7*w - 21]', '[5843, 5843, 4*w^3 - 5*w^2 - 17*w + 3]', '[5854, 5854, -3*w^3 + 10*w^2 + 5*w - 12]', '[5854, 5854, 9*w + 4]', '[5857, 5857, -2*w^3 - 3*w^2 + 12*w + 5]', '[5864, 1466, -5*w^3 + w^2 + 24*w + 9]', '[5864, 1466, 9*w^3 - 11*w^2 - 24*w + 1]', '[5864, 5864, w^3 + w^2 - w - 14]', '[5864, 5864, -4*w^2 + 7*w + 14]', '[5869, 5869, 5*w^3 - 7*w^2 - 19*w + 11]', '[5872, 734, 6*w^3 - 4*w^2 - 18*w - 2]', '[5872, 5872, w^3 + 4*w^2 - 2*w - 12]', '[5878, 5878, -w^3 + 5*w^2 + 4*w - 14]', '[5878, 5878, 3*w^3 - 13*w]', '[5878, 5878, 3*w^3 - 7*w - 8]', '[5878, 5878, -2*w^3 - 2*w^2 + 3*w + 8]', '[5879, 5879, 2*w^3 - 5*w^2 - 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4*w^2 + 2*w + 7]', '[499, 499, 4*w^3 - 3*w^2 - 13*w - 1]', '[499, 499, -w^2 + w - 3]', '[503, 503, 4*w^3 - 6*w^2 - 11*w + 5]', '[509, 509, 3*w^3 - 12*w - 5]', '[509, 509, w^2 - w - 7]', '[521, 521, -4*w^3 + 8*w^2 + 11*w - 11]', '[521, 521, w^3 - 2*w - 7]', '[523, 523, 4*w^3 - 7*w^2 - 7*w + 5]', '[523, 523, 2*w^3 - 3*w^2 - 3*w + 7]', '[529, 23, -2*w^3 + 3*w^2 + 2*w + 3]', '[557, 557, -4*w^3 + 4*w^2 + 13*w - 5]', '[557, 557, -2*w^3 + 2*w^2 + 9*w - 3]', '[563, 563, 4*w^3 - 4*w^2 - 15*w + 3]', '[569, 569, 2*w^2 - 4*w - 7]', '[571, 571, 3*w^3 - 4*w^2 - 6*w + 3]', '[571, 571, w^3 - 7*w - 1]', '[577, 577, -w^2 - 3]', '[593, 593, 2*w^3 - 2*w^2 - 9*w + 1]', '[593, 593, 2*w^2 - 9]', '[599, 599, 5*w^3 - 6*w^2 - 15*w + 5]', '[601, 601, -2*w^3 + 6*w^2 + 4*w - 5]', '[601, 601, 3*w^3 - 5*w^2 - 11*w + 7]', '[613, 613, -5*w^3 + 7*w^2 + 13*w - 3]', '[613, 613, 4*w^3 - 5*w^2 - 10*w + 7]', '[617, 617, 4*w^3 - 2*w^2 - 13*w - 3]', '[625, 5, -5]', '[631, 631, 4*w^2 - 2*w - 5]', '[631, 631, 4*w^3 - 5*w^2 - 11*w + 5]', '[641, 641, w^3 + 2*w^2 - 4*w - 9]', '[641, 641, 2*w^3 - 5*w^2 - 2*w + 9]', '[643, 643, w^3 - 4*w - 7]', '[647, 647, -w - 5]', '[653, 653, -w^3 + w^2 + 5*w - 7]', '[673, 673, -2*w^3 + w^2 + 8*w - 3]', '[673, 673, -w^3 + 5*w - 5]', '[673, 673, -3*w^3 + 7*w^2 + 5*w - 13]', '[673, 673, -w^2 + 5*w - 1]', '[677, 677, -2*w^3 + 6*w^2 + 5*w - 9]', '[701, 701, 3*w^3 - 2*w^2 - 7*w - 1]', '[701, 701, 4*w^3 - 6*w^2 - 9*w + 7]', '[709, 709, 4*w^3 - 5*w^2 - 10*w + 1]', '[719, 719, w^3 - 2*w^2 - 3*w - 3]', '[727, 727, -3*w^3 + 4*w^2 + 11*w - 1]', '[727, 727, -2*w^3 + 6*w^2 + w - 11]', '[733, 733, -2*w^3 + 2*w^2 + 7*w + 5]', '[733, 733, -w^3 + 6*w^2 - 4*w - 9]', '[743, 743, -4*w^3 + 6*w^2 + 8*w - 7]', '[743, 743, -2*w^3 + 11*w + 3]', '[757, 757, -3*w^3 + 4*w^2 + 9*w + 1]', '[769, 769, -2*w^3 + 9*w + 1]', '[787, 787, -4*w^3 + 7*w^2 + 10*w - 7]', '[787, 787, -3*w^2 + w + 11]', '[787, 787, w^3 - w^2 - 3*w - 5]', '[787, 787, -2*w^3 + w^2 + 10*w + 1]', '[797, 797, 4*w^3 - 6*w^2 - 9*w + 5]', '[797, 797, -2*w^3 + 3*w^2 + 5*w - 9]', '[809, 809, -w^3 + 4*w^2 + 4*w - 9]', '[811, 811, -w^3 + 3*w^2 - w - 7]', '[811, 811, w^2 - 5*w - 1]', '[829, 829, -2*w^3 + 4*w^2 + 2*w - 7]', '[839, 839, 2*w^2 + w - 7]', '[839, 839, 4*w^3 - 4*w^2 - 12*w + 7]', '[841, 29, 2*w^2 - 6*w - 3]', '[841, 29, -4*w^3 + 6*w^2 + 14*w - 9]', '[857, 857, -2*w^3 + 6*w^2 + 3*w - 11]', '[881, 881, 4*w^2 - 4*w - 7]', '[883, 883, 4*w^3 - 4*w^2 - 11*w - 1]', '[883, 883, -3*w^3 + 6*w^2 + 7*w - 5]', '[919, 919, -w^3 + 5*w^2 - w - 7]', '[929, 929, -w^3 + 5*w^2 + w - 11]', '[941, 941, -3*w^3 + w^2 + 13*w + 1]', '[947, 947, 2*w^3 - 3*w^2 - 9*w + 3]', '[947, 947, 2*w^3 - 6*w^2 - 4*w + 11]', '[953, 953, -2*w^3 + 7*w - 1]', '[971, 971, 3*w^3 - w^2 - 11*w - 1]', '[977, 977, -w^3 + 5*w^2 - w - 9]', '[983, 983, w^3 - w - 5]', '[983, 983, 3*w^3 - 2*w^2 - 10*w + 3]', '[991, 991, -2*w^3 - 2*w^2 + 9*w + 5]', '[991, 991, -6*w^3 + 8*w^2 + 17*w - 11]']}
73. label: 4.4.3981.1
    {'degree': 4, 'discriminant': 3981, 'ideals': ['[1, 1, 1]', '[3, 3, w + 1]', '[5, 5, w^3 - w^2 - 3*w + 1]', '[9, 3, -w^2 + 2]', '[9, 3, -w^2 + w + 2]', '[13, 13, -w^3 + w^2 + 4*w]', '[15, 15, w^3 - 4*w]', '[16, 2, 2]', '[23, 23, w^2 - 2*w - 2]', '[25, 25, -w^3 + 2*w^2 + 4*w - 3]', '[27, 3, w^3 - 2*w^2 - 2*w + 4]', '[27, 9, -w^3 + 3*w + 2]', '[37, 37, w^3 - 4*w + 1]', '[37, 37, w^3 - w^2 - 5*w + 1]', '[39, 39, -w^2 - w + 3]', '[41, 41, w^3 - 5*w + 1]', '[43, 43, 2*w^3 - w^2 - 7*w]', '[45, 15, w^3 - w^2 - 5*w + 2]', '[45, 15, -w^3 + w^2 + 2*w - 3]', '[48, 6, 2*w + 2]', '[53, 53, 2*w - 3]', '[59, 59, -2*w^3 + w^2 + 9*w - 1]', '[65, 65, w^3 - 3*w - 3]', '[67, 67, -w - 3]', '[67, 67, w^3 + w^2 - 5*w - 4]', '[69, 69, w^3 - 5*w + 2]', '[71, 71, 2*w^3 - 3*w^2 - 7*w + 5]', '[73, 73, w^3 - 6*w]', '[73, 73, -w^3 - w^2 + 5*w + 3]', '[75, 75, -w^2 + 2*w + 3]', '[79, 79, w^3 - 3*w - 4]', '[80, 10, 2*w^3 - 2*w^2 - 6*w + 2]', '[81, 3, 3]', '[81, 9, -w^3 + 2*w^2 + 4*w - 2]', '[81, 9, -2*w^3 + 2*w^2 + 7*w - 1]', '[83, 83, w^3 - 2*w^2 - 3*w + 1]', '[83, 83, -2*w^3 + 2*w^2 + 6*w - 3]', '[89, 89, 2*w^3 - w^2 - 7*w + 3]', '[89, 89, -2*w^3 + w^2 + 8*w - 2]', '[97, 97, 2*w^3 - 8*w - 1]', '[103, 103, -2*w^3 + 3*w^2 + 5*w - 2]', '[103, 103, w^2 + w - 4]', '[111, 111, -2*w^2 + 5]', '[111, 111, -w^3 + w^2 + w + 2]', '[113, 113, 2*w^3 - w^2 - 7*w + 4]', '[115, 115, -2*w^2 + 3]', '[117, 39, -2*w^3 + 9*w + 1]', '[117, 39, -2*w^3 + 7*w]', '[123, 123, 2*w^3 - w^2 - 6*w]', '[125, 5, -2*w^3 + w^2 + 6*w - 1]', '[125, 125, w^3 - w^2 - 6*w]', '[129, 129, -w^3 + w^2 + 3*w - 5]', '[131, 131, -2*w^3 + 2*w^2 + 5*w - 3]', '[131, 131, -4*w^3 + 5*w^2 + 13*w - 9]', '[135, 15, w^3 - 2*w^2 - 5*w + 1]', '[135, 45, 2*w^3 - 2*w^2 - 7*w]', '[137, 137, w^3 - 2*w^2 - 4*w + 1]', '[137, 137, 2*w^2 - 2*w - 3]', '[137, 137, 3*w^3 - 2*w^2 - 10*w - 1]', '[137, 137, w - 4]', '[139, 139, w^2 - 2*w - 4]', '[144, 6, -2*w^2 + 4]', '[144, 6, -2*w^2 + 2*w + 4]', '[149, 149, 2*w^3 - 7*w - 4]', '[151, 151, -2*w^3 + 4*w^2 + 7*w - 9]', '[157, 157, -w^3 + 3*w^2 + 2*w - 7]', '[159, 159, 2*w^2 - w - 3]', '[169, 169, -2*w^3 + w^2 + 8*w - 3]', '[173, 173, w^2 + w - 5]', '[173, 173, -w^3 + 3*w^2 + 3*w - 5]', '[177, 177, -3*w^3 + 2*w^2 + 12*w + 1]', '[179, 179, -w^3 + w^2 + 6*w - 3]', '[181, 181, 3*w^3 - 4*w^2 - 11*w + 7]', '[185, 185, -2*w^2 + w + 5]', '[185, 185, w^3 - 2*w^2 - w + 4]', '[191, 191, -2*w^3 + 2*w^2 + 9*w - 3]', '[191, 191, 2*w^3 + w^2 - 9*w - 4]', '[193, 193, -2*w^3 + 3*w^2 + 9*w - 6]', '[195, 195, 2*w^3 - 3*w^2 - 7*w + 4]', '[197, 197, -w^3 + w^2 + 6*w - 1]', '[199, 199, 2*w^2 - w - 4]', '[201, 201, -w^2 - 4*w - 3]', '[201, 201, 3*w^3 - 11*w - 5]', '[205, 205, -w^3 + 2*w^2 + 6*w - 4]', '[207, 69, w^3 - 2*w - 3]', '[207, 69, w^3 - 3*w^2 - 3*w + 7]', '[208, 26, -2*w^3 + 2*w^2 + 8*w]', '[211, 211, w^3 - 5*w - 5]', '[213, 213, w^3 - 2*w^2 - 6*w + 3]', '[215, 215, -w^3 + 4*w + 5]', '[219, 219, -3*w^3 + 10*w + 4]', '[219, 219, 2*w^3 - 2*w^2 - 8*w - 1]', '[223, 223, w^3 + 2*w^2 - 4*w - 7]', '[223, 223, 2*w^3 - w^2 - 8*w - 4]', '[225, 75, -2*w^3 + w^2 + 8*w - 4]', '[225, 75, w^3 - 3*w^2 - 2*w + 6]', '[227, 227, -3*w^3 + 4*w^2 + 8*w - 6]', '[229, 229, w^3 - 3*w - 6]', '[229, 229, 2*w^3 - 2*w^2 - 9*w - 1]', '[233, 233, 2*w^3 - w^2 - 10*w + 6]', '[233, 233, -w^3 + 7*w - 2]', '[237, 237, 2*w^3 + w^2 - 9*w - 5]', '[240, 30, 2*w^3 - 8*w]', '[243, 9, w^3 - 2*w^2 - 5*w + 7]', '[243, 9, 3*w + 3]', '[243, 27, -w^3 - w^2 + 7*w + 4]', '[249, 249, -w^2 - 4*w]', '[249, 249, -2*w^3 + 7*w - 1]', '[256, 4, 4]', '[257, 257, 3*w^3 - 2*w^2 - 10*w + 3]', '[257, 257, 3*w^3 - 2*w^2 - 10*w]', '[263, 263, 3*w + 4]', '[265, 265, -2*w^3 - w^2 + 6*w]', '[267, 267, -3*w^3 + w^2 + 10*w]', '[267, 267, 3*w^3 - 8*w + 1]', '[269, 269, w^3 + w^2 - 3*w - 5]', '[281, 281, 2*w^3 - 9*w]', '[281, 281, -2*w^3 + w^2 + 9*w - 5]', '[283, 283, 3*w^3 - 3*w^2 - 9*w + 2]', '[283, 283, 3*w^3 - w^2 - 10*w - 1]', '[291, 291, 4*w^3 - 13*w - 3]', '[295, 295, 3*w^2 - 3*w - 8]', '[299, 299, 3*w - 5]', '[309, 309, -w^3 + 7*w]', '[309, 309, w^3 + 2*w^2 - 3*w - 4]', '[311, 311, -w^3 + 7*w - 1]', '[317, 317, -w^3 + w^2 + 4*w - 6]', '[317, 317, -w^3 - w^2 + 6*w - 1]', '[325, 325, -3*w^3 + 3*w^2 + 10*w - 1]', '[333, 111, w^3 - w^2 - 2*w - 4]', '[333, 111, 2*w^3 - 3*w^2 - 6*w + 2]', '[333, 111, 3*w^3 - 2*w^2 - 10*w + 1]', '[333, 111, 2*w^3 - 7*w - 6]', '[335, 335, -3*w^3 + w^2 + 14*w]', '[335, 335, -3*w^3 + 2*w^2 + 10*w - 2]', '[339, 339, 3*w^3 - 7*w + 2]', '[345, 345, w^3 + 2*w^2 - 6*w - 7]', '[349, 349, 3*w^3 - w^2 - 13*w + 1]', '[351, 39, -2*w^3 + w^2 + 10*w - 2]', '[351, 117, w^3 - 2*w^2 - w + 5]', '[353, 353, w^3 + w^2 - 2*w - 4]', '[355, 355, 2*w^3 - 3*w^2 - 9*w + 10]', '[359, 359, 3*w^2 - 10]', '[365, 365, 2*w^3 - 11*w - 1]', '[365, 365, -3*w^2 + 4*w + 5]', '[368, 46, 2*w^2 - 4*w - 4]', '[369, 123, 2*w^3 - 3*w^2 - 7*w + 3]', '[369, 123, -w^3 + 3*w - 4]', '[373, 373, -w^3 + 2*w^2 + 7*w - 1]', '[375, 15, -3*w^3 - w^2 + 9*w + 1]', '[375, 375, 2*w^3 - 10*w + 1]', '[379, 379, -3*w^3 + 3*w^2 + 9*w - 5]', '[387, 129, 2*w^3 - 2*w^2 - 10*w + 1]', '[387, 129, 3*w^3 - w^2 - 14*w - 1]', '[393, 393, -2*w^3 - w^2 + 6*w - 1]', '[393, 393, -3*w^3 + 2*w^2 + 12*w - 5]', '[395, 395, -4*w^3 + 4*w^2 + 13*w - 2]', '[397, 397, -2*w^3 + w^2 + 10*w - 1]', '[400, 50, -2*w^3 + 4*w^2 + 8*w - 6]', '[405, 15, 3*w^3 - 3*w^2 - 9*w + 3]', '[405, 45, w^2 + 2*w - 5]', '[405, 45, 3*w^3 - 2*w^2 - 9*w + 4]', '[409, 409, 4*w^3 - 5*w^2 - 12*w + 5]', '[411, 411, w^2 - 3*w - 4]', '[411, 411, -2*w^2 - 5*w]', '[411, 411, 2*w^3 - 5*w - 3]', '[411, 411, 4*w^3 - 17*w - 4]', '[415, 415, -w^3 + w^2 + 3]', '[415, 415, -w^3 + w^2 + 5*w - 7]', '[417, 417, w^3 - w^2 - 6*w - 4]', '[419, 419, 2*w^3 - 5*w^2 - 3*w + 8]', '[419, 419, w^2 - w - 7]', '[421, 421, -2*w^3 + 8*w - 1]', '[431, 431, w^3 - 2*w - 5]', '[431, 431, w^3 + 2*w^2 - 4*w - 6]', '[432, 6, 2*w^3 - 4*w^2 - 4*w + 8]', '[432, 18, -2*w^3 + 6*w + 4]', '[433, 433, -3*w^3 + 3*w^2 + 8*w - 8]', '[433, 433, -3*w^3 + 4*w^2 + 11*w - 6]', '[439, 439, -3*w^3 + 3*w^2 + 9*w - 4]', '[439, 439, -3*w^3 + 3*w^2 + 11*w - 2]', '[445, 445, 2*w^3 - 3*w^2 - 5*w + 8]', '[445, 445, -w^3 + 3*w^2 + w - 8]', '[447, 447, 4*w^3 + w^2 - 15*w - 6]', '[449, 449, 2*w^2 - 3*w - 6]', '[449, 449, -w^2 + w - 3]', '[453, 453, -w^3 - 2*w^2 + 6*w + 4]', '[463, 463, -w^3 - w^2 + 9*w + 2]', '[471, 471, w^3 + w^2 - 3*w - 6]', '[477, 159, 2*w^3 + w^2 - 4*w - 3]', '[477, 159, -2*w^3 + 3*w^2 + 4*w - 6]', '[481, 481, w^3 + 2*w^2 - 4*w - 4]', '[481, 481, 4*w^3 - 4*w^2 - 13*w + 8]', '[485, 485, -w^3 - w^2 + 7*w + 5]', '[491, 491, -3*w^2 + 3*w + 10]', '[491, 491, 5*w^3 - 7*w^2 - 16*w + 12]', '[499, 499, -2*w^3 + 9*w - 1]', '[503, 503, -w^3 + 2*w^2 - 4]', '[503, 503, -4*w^3 + 7*w^2 + 12*w - 15]', '[507, 507, -3*w^3 + w^2 + 9*w - 1]', '[509, 509, 4*w^3 - w^2 - 14*w + 1]', '[515, 515, -3*w^3 + 4*w^2 + 10*w - 5]', '[515, 515, -4*w - 3]', '[519, 519, w^3 + 2*w^2 - 4]', '[519, 519, w^3 + 2*w^2 - 4*w - 5]', '[529, 529, -w^3 + 2*w^2 + w - 6]', '[531, 177, -4*w^3 + 3*w^2 + 14*w - 3]', '[531, 177, -5*w^3 + 4*w^2 + 17*w - 1]', '[533, 533, w^3 + 2*w^2 - 6*w - 5]', '[537, 537, -w^3 + 3*w^2 + 5*w - 2]', '[541, 541, 3*w^3 - 2*w^2 - 9*w]', '[543, 543, 2*w^3 - 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6]', '[1495, 1495, 3*w^2 + w - 10]', '[1497, 1497, -4*w^3 + w^2 + 12*w + 1]', '[1509, 1509, -2*w^2 - 2*w - 3]', '[1509, 1509, -w^3 + 3*w^2 + 5*w - 11]', '[1511, 1511, -4*w^3 + 5*w^2 + 9*w - 2]', '[1517, 1517, w^2 - 2*w + 5]', '[1517, 1517, -w^3 - w^2 + 2*w + 7]', '[1521, 507, -3*w^3 + 5*w^2 + 12*w - 7]', '[1521, 507, -4*w^3 + 5*w^2 + 13*w - 5]', '[1523, 1523, 3*w^3 - w^2 - 9*w - 6]', '[1523, 1523, -3*w^3 + 5*w^2 + 8*w - 16]', '[1527, 1527, 7*w^3 + w^2 - 21*w - 3]', '[1541, 1541, -5*w^3 + 2*w^2 + 17*w + 8]', '[1541, 1541, -w^3 - w^2 + 8*w + 6]', '[1545, 1545, -2*w^3 + 2*w^2 + 11*w - 2]', '[1545, 1545, 4*w^2 - 5*w - 6]', '[1552, 194, 4*w^3 - 16*w - 2]', '[1553, 1553, -3*w^3 + w^2 + 15*w - 6]', '[1555, 1555, -w^3 + 5*w^2 - 2*w - 7]', '[1557, 519, -w^3 + 4*w^2 - w - 9]', '[1557, 519, -2*w^3 + 3*w^2 + 4*w - 9]', '[1557, 519, -3*w^3 + w^2 + 9*w - 8]', '[1557, 519, -w^3 + 6*w - 7]', '[1567, 1567, -3*w^3 + w^2 + 13*w - 4]', '[1571, 1571, -5*w^3 + 4*w^2 + 18*w + 4]', '[1571, 1571, -w^3 - 3*w^2 + 4*w + 5]', '[1579, 1579, -w^3 + w^2 + 4*w - 8]', '[1579, 1579, -w^3 + 9*w - 3]', '[1585, 1585, -2*w^3 + 5*w^2 - 6]', '[1585, 1585, -5*w^3 + 6*w^2 + 15*w - 9]', '[1587, 1587, -w^2 - 3*w - 5]', '[1591, 1591, -w^2 + 4*w + 6]', '[1591, 1591, -2*w^3 + 2*w^2 + 3*w - 6]', '[1593, 177, -7*w^3 + 8*w^2 + 23*w - 10]', '[1593, 531, -6*w^3 + w^2 + 26*w + 4]', '[1597, 1597, -5*w^3 + 6*w^2 + 17*w - 8]', '[1599, 1599, 2*w^3 - 2*w^2 - 11*w + 5]', '[1601, 1601, 2*w^3 - w^2 - 4*w - 5]', '[1607, 1607, -3*w^3 + w^2 + 16*w - 8]', '[1607, 1607, -5*w^3 + 2*w^2 + 19*w - 2]', '[1611, 537, -4*w^3 + 5*w^2 + 10*w - 5]', '[1611, 537, -4*w^3 + 3*w^2 + 11*w - 6]', '[1613, 1613, -w^3 + 2*w^2 - 7]', '[1613, 1613, -4*w^3 + 5*w^2 + 10*w - 6]', '[1619, 1619, w^3 + 3*w^2 - 6*w - 10]', '[1619, 1619, 5*w^3 - 3*w^2 - 17*w - 1]', '[1619, 1619, 5*w^3 - 3*w^2 - 17*w + 4]', '[1619, 1619, -5*w^3 + 6*w^2 + 18*w - 9]', '[1623, 1623, 4*w^3 + w^2 - 15*w - 3]', '[1625, 65, -3*w^3 - w^2 + 9*w + 6]', '[1625, 1625, 4*w^3 - 3*w^2 - 12*w + 5]', '[1627, 1627, -w^3 + 2*w^2 + 7*w - 9]', '[1627, 1627, -w^3 + 2*w^2 + 8*w - 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2*w^2 - 18*w - 7]', '[1719, 573, -5*w^3 + 4*w^2 + 17*w - 4]', '[1719, 573, -5*w^3 + 3*w^2 + 16*w - 6]', '[1719, 573, 5*w^3 - 3*w^2 - 18*w - 7]', '[1719, 573, 2*w^3 - 2*w^2 - 10*w - 5]', '[1721, 1721, 2*w^2 - 4*w - 7]', '[1723, 1723, 3*w^3 - 2*w^2 - 15*w + 6]', '[1725, 1725, 2*w^3 - 3*w^2 - 4*w + 10]', '[1731, 1731, -3*w^3 - 2*w^2 + 13*w + 3]', '[1731, 1731, 4*w^3 + w^2 - 12*w]', '[1733, 1733, -2*w^3 + 2*w^2 + 11*w - 3]', '[1737, 579, -5*w^3 + 5*w^2 + 16*w - 9]', '[1737, 579, -6*w^3 + 4*w^2 + 18*w - 11]', '[1745, 1745, -4*w^2 + 5*w + 11]', '[1747, 1747, 5*w^3 - 4*w^2 - 17*w + 5]', '[1747, 1747, 5*w^2 - w - 16]', '[1753, 1753, -2*w^3 + 2*w^2 + 11*w - 4]', '[1755, 195, 4*w^3 - 2*w^2 - 14*w + 7]', '[1755, 585, 3*w^3 - w^2 - 14*w + 5]', '[1763, 1763, -w^3 - 2*w^2 + 8*w + 8]', '[1765, 1765, -3*w^3 + 4*w^2 + 11*w - 3]', '[1773, 591, -4*w^3 + w^2 + 11*w - 2]', '[1773, 591, -4*w^3 + 3*w^2 + 12*w - 1]', '[1775, 1775, -7*w^3 + 7*w^2 + 24*w - 21]', '[1776, 222, -4*w^2 + 10]', '[1776, 222, -2*w^3 + 2*w^2 + 2*w + 4]', '[1777, 1777, 2*w^3 + w^2 - 6*w - 7]', '[1781, 1781, w^3 - 2*w^2 - 6*w - 4]', '[1781, 1781, 4*w^3 - 4*w^2 - 14*w + 1]', '[1781, 1781, 3*w^3 + w^2 - 14*w - 2]', '[1781, 1781, 7*w^3 - 2*w^2 - 26*w - 10]', '[1783, 1783, 5*w^3 - 23*w - 4]', '[1789, 1789, 2*w^3 - 4*w^2 - 8*w + 3]', '[1791, 597, -w^3 + 2*w - 6]', '[1791, 597, w^3 - w^2 - 2*w - 6]', '[1795, 1795, -7*w^3 + 7*w^2 + 27*w - 10]', '[1803, 1803, -3*w^3 + 4*w^2 + 18*w + 2]', '[1807, 1807, 4*w^3 - 2*w^2 - 19*w - 2]', '[1808, 226, 4*w^3 - 2*w^2 - 14*w + 8]', '[1809, 201, -2*w^3 + 4*w^2 + 4*w - 11]', '[1809, 201, w^3 + w^2 - 2*w - 11]', '[1809, 603, 4*w^3 + w^2 - 13*w - 7]', '[1809, 603, 5*w^3 - 24*w - 10]', '[1817, 1817, -2*w^3 - 4*w^2 + 15*w + 9]', '[1821, 1821, w^3 + 3*w^2 - 4*w - 6]', '[1823, 1823, -w^3 + 9*w - 2]', '[1825, 1825, -2*w^3 + 3*w^2 + 3*w - 7]', '[1825, 1825, -3*w^3 + 11*w - 2]', '[1839, 1839, -6*w^3 - w^2 + 17*w + 6]', '[1839, 1839, -2*w^3 + 5*w^2 + 11*w - 5]', '[1840, 230, -4*w^2 + 6]', '[1845, 615, -4*w^3 + 4*w^2 + 11*w - 6]', '[1845, 615, -w^2 - 3*w + 8]', '[1847, 1847, -4*w^3 + 6*w^2 + 7*w - 4]', '[1849, 1849, w^3 + w^2 - w - 6]', '[1857, 1857, 4*w^3 - w^2 - 16*w + 1]', '[1857, 1857, -2*w^3 + 4*w^2 + 9*w - 3]', '[1861, 1861, -w^3 + 3*w - 6]', '[1861, 1861, -6*w^3 + 8*w^2 + 17*w - 8]', '[1863, 69, 3*w^2 - 6*w - 6]', '[1863, 207, w^3 - 9*w + 1]', '[1863, 207, -w^3 + w^2 - w - 5]', '[1865, 1865, w^3 + 3*w^2 - 4*w - 7]', '[1867, 1867, -3*w^3 + 2*w^2 + 15*w]', '[1867, 1867, -w^3 + 2*w^2 - 8]', '[1867, 1867, w^3 + w^2 - 10*w + 1]', '[1867, 1867, -3*w^3 + 5*w^2 + 7*w - 11]', '[1872, 78, -4*w^3 + 18*w + 2]', '[1872, 78, -4*w^3 + 14*w]', '[1873, 1873, 5*w^3 - 5*w^2 - 17*w + 3]', '[1875, 15, -5*w - 5]', '[1875, 1875, -2*w^3 + 3*w^2 + 11*w - 6]', '[1877, 1877, 4*w^3 - 2*w^2 - 17*w + 5]', '[1877, 1877, w - 7]', '[1879, 1879, 6*w^3 - 6*w^2 - 25*w + 15]', '[1893, 1893, -w^3 + 4*w^2 + 7*w - 1]', '[1895, 1895, -2*w^3 + 2*w^2 + 9*w - 11]', '[1899, 633, 2*w^3 + 3*w^2 - 7*w - 9]', '[1899, 633, 3*w^3 + 2*w^2 - 14*w - 10]', '[1901, 1901, 2*w^3 - 3*w^2 - 11*w + 5]', '[1901, 1901, w^3 + 3*w^2 - 7*w - 7]', '[1907, 1907, w^2 + w - 10]', '[1909, 1909, 2*w^3 + w^2 - 12*w + 2]', '[1909, 1909, -3*w^2 + 9*w + 1]', '[1913, 1913, 2*w^3 - w^2 - 4*w - 6]', '[1917, 213, 7*w^3 - 8*w^2 - 29*w + 22]', '[1917, 639, 4*w^3 - 3*w^2 - 12*w + 4]', '[1923, 1923, -w^2 - 6*w - 5]', '[1923, 1923, -4*w^3 + 4*w^2 + 15*w - 2]', '[1931, 1931, -5*w^3 + 5*w^2 + 15*w - 3]', '[1931, 1931, 3*w^2 + 2*w - 9]', '[1933, 1933, 5*w^3 - 17*w - 1]', '[1933, 1933, -4*w^3 + 3*w^2 + 18*w - 6]', '[1935, 645, -w^3 - 3*w^2 + 5*w + 9]', '[1935, 645, -4*w^3 + w^2 + 14*w - 3]', '[1937, 1937, 8*w^3 - 2*w^2 - 30*w - 7]', '[1949, 1949, -3*w^3 + 4*w^2 + 12*w - 3]', '[1961, 1961, -3*w^3 + w^2 + 13*w - 5]', '[1961, 1961, -3*w^3 + w^2 + 7*w + 4]', '[1963, 1963, -5*w^3 + 4*w^2 + 15*w + 1]', '[1965, 1965, -2*w^3 + 2*w^2 + 2*w - 5]', '[1965, 1965, -3*w^3 + 6*w^2 + 7*w - 14]', '[1968, 246, 4*w^3 - 2*w^2 - 12*w]', '[1971, 219, 5*w^3 - 7*w^2 - 13*w + 5]', '[1971, 219, -2*w^3 + w^2 + 4*w + 7]', '[1971, 657, -4*w^3 + 21*w + 8]', '[1971, 657, 4*w^3 + w^2 - 19*w - 4]', '[1975, 1975, 5*w^3 - 5*w^2 - 16*w + 8]', '[1977, 1977, -w^2 - 4*w - 6]', '[1983, 1983, 3*w^3 + 3*w^2 - 5*w - 5]', '[1985, 1985, 4*w^2 - 4*w - 9]', '[1987, 1987, 3*w^3 - 4*w^2 - 10*w + 1]', '[1997, 1997, w^2 - w - 9]', '[1997, 1997, 4*w^3 - 3*w^2 - 12*w + 2]', '[1999, 1999, 4*w^3 - 7*w^2 - 9*w + 6]', '[2000, 10, -4*w^3 + 2*w^2 + 12*w - 2]', '[2000, 250, 2*w^3 - 2*w^2 - 12*w]', '[2007, 669, 2*w^3 + w^2 - 10*w - 12]', '[2007, 669, -w^3 + w^2 - w - 11]', '[2007, 669, 3*w^3 + 2*w^2 - 12*w - 7]', '[2007, 669, 4*w^3 + 2*w^2 - 20*w - 9]', '[2011, 2011, -4*w^3 + 5*w^2 + 16*w - 6]', '[2011, 2011, w^3 + 3*w^2 - 6*w - 9]', '[2019, 2019, -7*w^3 + 23*w + 4]', '[2019, 2019, 2*w^3 + 4*w^2 - 2*w - 7]', '[2025, 75, -3*w^3 + 6*w^2 + 12*w - 9]', '[2025, 225, -4*w^3 + 6*w^2 + 12*w - 7]', '[2025, 225, 2*w^3 - 2*w^2 - 7*w + 10]', '[2027, 2027, 5*w^2 - 2*w - 17]', '[2031, 2031, 2*w^3 + 3*w^2 - w - 5]', '[2039, 2039, w^2 + 3*w - 9]', '[2039, 2039, -w^2 + w - 5]', '[2041, 2041, 5*w^3 - 2*w^2 - 21*w + 2]', '[2043, 681, -3*w^3 + 4*w^2 + 15*w - 11]', '[2043, 681, -2*w^3 + 15*w - 8]', '[2045, 2045, -6*w + 13]', '[2047, 2047, 5*w^3 - 4*w^2 - 16*w + 1]', '[2047, 2047, -4*w^3 + 3*w^2 + 12*w - 3]', '[2049, 2049, 2*w^3 - 5*w - 6]', '[2055, 2055, -3*w^3 + 4*w^2 + 10*w]', '[2055, 2055, -4*w^3 - w^2 + 21*w + 9]', '[2055, 2055, -3*w^3 + 14*w - 1]', '[2055, 2055, -2*w^3 - 3*w^2 + 7*w + 5]', '[2061, 687, w^3 + 5*w^2 - 11*w - 12]', '[2061, 687, 4*w^2 - 3*w - 11]', '[2061, 687, 5*w^3 + w^2 - 16*w - 2]', '[2061, 687, 5*w^3 - 21*w - 4]', '[2063, 2063, w^3 + 2*w^2 - 2*w - 8]', '[2064, 258, -2*w^3 + 2*w^2 + 6*w - 10]', '[2067, 2067, 3*w^3 + w^2 - 12*w - 1]', '[2075, 2075, 3*w^3 - 6*w^2 - 14*w + 15]', '[2075, 2075, -2*w^3 - w^2 + 6*w - 5]', '[2083, 2083, 3*w^3 + 3*w^2 - 12*w - 13]', '[2083, 2083, 2*w^3 + w^2 - 5*w - 6]', '[2083, 2083, 4*w^3 - 4*w^2 - 15*w - 3]', '[2083, 2083, -5*w^3 + 4*w^2 + 13*w - 9]', '[2085, 2085, -5*w^3 + 2*w^2 + 17*w + 1]', '[2087, 2087, -2*w^3 + w^2 + 12*w - 4]', '[2087, 2087, -5*w^3 + 7*w^2 + 19*w - 12]', '[2095, 2095, -3*w^3 + 20*w - 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2*w^2 + w + 6]', '[2339, 2339, -5*w^3 + 4*w^2 + 19*w - 12]', '[2341, 2341, -3*w^3 + 3*w^2 + 15*w - 2]', '[2341, 2341, 5*w^3 - 3*w^2 - 17*w + 10]', '[2347, 2347, -2*w^3 + 6*w^2 + 3*w - 16]', '[2353, 2353, -w^3 + 2*w^2 + 2*w - 11]', '[2355, 2355, -5*w^3 + 5*w^2 + 18*w - 4]', '[2357, 2357, -2*w^3 + 4*w^2 + 9*w - 2]', '[2357, 2357, -3*w^3 + 15*w - 2]', '[2361, 2361, -5*w^3 + 14*w]', '[2361, 2361, -w^2 - 5]', '[2367, 789, 4*w^3 + 2*w^2 - 17*w - 7]', '[2367, 789, 5*w^3 + 3*w^2 - 27*w - 10]', '[2369, 2369, -4*w^2 + 4*w + 7]', '[2369, 2369, -2*w^3 + 3*w^2 + w - 5]', '[2371, 2371, -w^3 + 5*w - 7]', '[2377, 2377, -7*w^3 + 3*w^2 + 25*w - 4]', '[2383, 2383, 2*w^3 - 13*w - 1]', '[2383, 2383, 2*w^3 - 4*w^2 - 8*w + 17]', '[2384, 298, 4*w^3 - 14*w - 8]', '[2385, 795, -2*w^3 + 4*w^2 + 8*w - 1]', '[2385, 795, -2*w^3 + 2*w^2 + 7*w + 5]', '[2391, 2391, -4*w^3 + 7*w - 6]', '[2393, 2393, w^3 - 4*w - 8]', '[2399, 2399, -2*w^3 + 5*w^2 + 4*w - 17]', '[2401, 7, -7]', '[2403, 267, 7*w^3 - 8*w^2 - 23*w + 16]', '[2403, 267, -7*w^3 + 8*w^2 + 23*w - 13]', '[2403, 801, -4*w^3 + 2*w^2 + 19*w + 1]', '[2403, 801, 2*w^3 - 3*w^2 - 12*w + 2]', '[2405, 2405, -5*w^3 + w^2 + 20*w + 1]', '[2405, 2405, -2*w^3 + w^2 + 12*w - 1]', '[2416, 302, -4*w^3 + 8*w^2 + 14*w - 18]', '[2417, 2417, 5*w^3 - 5*w^2 - 21*w + 9]', '[2417, 2417, -3*w^3 + 5*w^2 + 12*w - 6]', '[2419, 2419, 2*w^3 - 5*w - 11]', '[2421, 807, w^3 + 2*w^2 - 8*w - 9]', '[2421, 807, -w^3 + w^2 - w - 8]', '[2423, 2423, 4*w^3 - 6*w^2 - 15*w + 9]', '[2425, 2425, w^3 + 4*w^2 - 2*w - 7]', '[2427, 2427, 2*w^3 - 13*w - 11]', '[2427, 2427, 3*w^3 + 2*w^2 - 9*w - 8]', '[2427, 2427, 4*w^2 + 7*w - 3]', '[2427, 2427, -3*w^3 - 2*w^2 + 9*w - 1]', '[2437, 2437, -3*w^3 + w^2 + 14*w - 7]', '[2437, 2437, -2*w^3 + 6*w^2 + 7*w - 14]', '[2441, 2441, -3*w^3 + 12*w - 2]', '[2455, 2455, 7*w^3 - 4*w^2 - 30*w + 7]', '[2455, 2455, 2*w^3 - 2*w^2 - 3*w + 8]', '[2463, 2463, 6*w^3 + w^2 - 17*w - 3]', '[2463, 2463, 2*w^3 + 3*w^2 - 5*w - 9]', '[2469, 2469, -4*w^3 + 3*w^2 + 19*w]', '[2477, 2477, -w^3 + 2*w^2 - 3*w - 4]', '[2477, 2477, -3*w^3 + 2*w^2 + 16*w - 8]', '[2477, 2477, -w^3 + 2*w^2 + 3*w - 11]', '[2477, 2477, -4*w^3 + 4*w^2 + 17*w - 1]', '[2479, 2479, -4*w^3 + 4*w^2 + 15*w - 1]', '[2479, 2479, -3*w^3 + 4*w^2 + 16*w - 2]', '[2479, 2479, -4*w^3 + 13*w - 2]', '[2479, 2479, -7*w^3 + 3*w^2 + 26*w + 2]', '[2483, 2483, -w^3 - w^2 + 8*w + 9]', '[2483, 2483, 8*w^3 - 33*w - 9]', '[2487, 2487, 5*w^3 + w^2 - 12*w - 2]', '[2495, 2495, -w^3 + 4*w^2 - 2*w - 8]', '[2503, 2503, -3*w^3 + 4*w^2 + 14*w - 1]', '[2503, 2503, -2*w^3 + w^2 + 12*w - 2]', '[2509, 2509, 2*w^3 - 2*w^2 - 3*w + 9]', '[2512, 314, -2*w^3 + 6*w^2 + 4*w - 14]', '[2515, 2515, -2*w^3 - w^2 + 12*w - 3]', '[2515, 2515, -5*w^3 + 3*w^2 + 16*w - 5]', '[2521, 2521, w^3 - 5*w^2 - w + 13]', '[2521, 2521, -6*w^3 + 6*w^2 + 20*w - 9]', '[2529, 843, 3*w^3 - 4*w^2 - 12*w + 2]', '[2529, 843, 5*w^3 - 5*w^2 - 16*w]', '[2529, 843, -5*w^3 + 8*w^2 + 13*w - 9]', '[2529, 843, -4*w^3 + 7*w^2 + 14*w - 11]', '[2535, 2535, -w - 7]', '[2537, 2537, 5*w^3 + 2*w^2 - 23*w - 15]', '[2539, 2539, -4*w^3 + 2*w^2 + 11*w]', '[2539, 2539, -5*w^3 + 6*w^2 + 20*w - 8]', '[2543, 2543, 3*w^3 - 5*w^2 - 8*w + 1]', '[2544, 318, 4*w^2 - 2*w - 6]', '[2545, 2545, -2*w^2 + 4*w + 11]', '[2547, 849, 3*w^3 - 2*w^2 - 15*w + 4]', '[2547, 849, 3*w^3 + w^2 - 19*w + 1]', '[2547, 849, 4*w^3 - w^2 - 20*w - 3]', '[2547, 849, 2*w^3 - 3*w^2 - 13*w]', '[2549, 2549, -w^3 + w^2 - w - 7]', '[2549, 2549, 5*w^3 - 6*w^2 - 14*w + 7]', '[2551, 2551, -w^2 - 5*w + 7]', '[2553, 2553, -2*w^2 - 3*w + 8]', '[2553, 2553, 2*w^3 + w^2 - 6*w - 8]', '[2557, 2557, -2*w^3 + 5*w^2 + 9*w - 14]', '[2557, 2557, -6*w^3 + 5*w^2 + 22*w - 2]', '[2559, 2559, -2*w^2 - 3*w - 4]', '[2561, 2561, -w^3 + 9*w + 6]', '[2571, 2571, 3*w^3 + 2*w^2 - 6*w - 5]', '[2571, 2571, 6*w^3 - 7*w^2 - 21*w + 10]', '[2575, 2575, 6*w^3 - 5*w^2 - 18*w + 12]', '[2575, 2575, -3*w^3 - w^2 + 13*w + 1]', '[2577, 2577, -4*w^2 + 3*w + 10]', '[2577, 2577, w^3 + w^2 - 9*w - 6]', '[2587, 2587, 4*w^3 - 16*w - 1]', '[2593, 2593, -w^3 + 4*w^2 - 13]', '[2593, 2593, -4*w^3 + 3*w^2 + 11*w - 4]', '[2595, 2595, -2*w^3 + 5*w^2 + 8*w - 5]', '[2595, 2595, -3*w^3 + 2*w^2 + 15*w - 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17*w - 16]', '[5245, 5245, -w^2 - 5*w + 9]', '[5251, 5251, 5*w^3 - 23*w - 2]', '[5251, 5251, -4*w^3 + 16*w - 1]', '[5255, 5255, -4*w^3 + 7*w^2 + 10*w - 5]', '[5255, 5255, -4*w^3 + 2*w^2 + 21*w - 8]', '[5259, 5259, -2*w^3 + 5*w^2 + 11*w - 2]', '[5261, 5261, -6*w^3 + 3*w^2 + 24*w - 5]', '[5265, 195, 3*w^3 - 9*w - 9]', '[5265, 585, 5*w^3 - 3*w^2 - 15*w + 2]', '[5265, 585, 2*w^3 + 3*w^2 - 4*w - 9]', '[5267, 5267, -2*w^3 - 6*w^2 + 19*w + 13]', '[5267, 5267, -5*w^3 + w^2 + 26*w + 6]', '[5273, 5273, -5*w^3 + 3*w^2 + 19*w - 11]', '[5275, 5275, 4*w^3 - 7*w^2 - 18*w + 9]', '[5279, 5279, -w^3 + 6*w^2 + 4*w - 13]', '[5289, 5289, -5*w^3 + 3*w^2 + 20*w - 9]', '[5293, 5293, -w^3 + 6*w - 9]', '[5293, 5293, -5*w^3 + 4*w^2 + 23*w - 2]', '[5295, 5295, -2*w^3 + 3*w^2 + 14*w]', '[5303, 5303, 6*w^3 - 3*w^2 - 20*w + 2]', '[5303, 5303, 5*w^3 - 2*w^2 - 22*w + 5]', '[5305, 5305, -7*w^3 + 5*w^2 + 20*w + 4]', '[5309, 5309, -3*w^3 + 4*w^2 + 16*w - 4]', '[5309, 5309, 9*w^3 - 5*w^2 - 38*w + 7]', '[5315, 5315, -5*w^3 + 2*w^2 + 19*w - 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8]', '[619, 619, 4*w^3 - 4*w^2 - 13*w + 5]', '[619, 619, -2*w^3 + 2*w^2 + 10*w - 5]', '[631, 631, -w^3 + w^2 + 7*w - 2]', '[641, 641, -w - 5]', '[641, 641, -3*w^3 + 2*w^2 + 14*w - 5]', '[659, 659, -w^3 + 2*w^2 + w - 7]', '[661, 661, 3*w^2 - 5]', '[673, 673, -w^3 + 4*w^2 + 4*w - 8]', '[673, 673, -4*w^3 + w^2 + 15*w]', '[677, 677, -w^3 + 4*w^2 + 3*w - 6]', '[683, 683, -w^3 + 4*w^2 - 7]', '[701, 701, -4*w^3 + 4*w^2 + 13*w - 6]', '[701, 701, 2*w^3 - 2*w^2 - 8*w + 9]', '[701, 701, -w^3 + 2*w^2 + 7*w - 3]', '[701, 701, -3*w^3 + 4*w^2 + 9*w - 3]', '[709, 709, -w^2 + 2*w - 4]', '[709, 709, -4*w^3 + 5*w^2 + 15*w - 8]', '[727, 727, -2*w^3 + 3*w^2 + 10*w - 5]', '[727, 727, -w^3 + 2*w^2 + 6*w - 8]', '[727, 727, -4*w^3 + 3*w^2 + 17*w - 4]', '[727, 727, -3*w^3 + 14*w + 1]', '[733, 733, 2*w^2 - 4*w - 5]', '[739, 739, 3*w^2 - 3*w - 5]', '[739, 739, -w^3 + 4*w^2 + w - 5]', '[739, 739, 2*w^3 - 6*w - 5]', '[739, 739, -2*w^3 + 5*w^2 - 5]', '[743, 743, w^3 - 3*w - 7]', '[743, 743, w^3 + w^2 - 3*w - 8]', '[751, 751, -w^3 + w^2 + 2*w - 7]', '[751, 751, w^2 + 2*w - 7]', '[757, 757, -3*w^3 + 3*w^2 + 8*w - 3]', '[769, 769, 3*w^3 - 5*w^2 - 11*w + 8]', '[787, 787, -2*w^3 + 4*w^2 + 3*w - 7]', '[787, 787, -3*w^3 + w^2 + 11*w - 3]', '[797, 797, -3*w^3 + 2*w^2 + 10*w - 9]', '[809, 809, 2*w^2 - 2*w - 11]', '[809, 809, 3*w^2 - w - 8]', '[809, 809, -3*w^3 + 3*w^2 + 7*w - 4]', '[809, 809, -2*w^3 + 4*w^2 + 8*w - 5]', '[821, 821, 3*w^3 - 11*w]', '[821, 821, -w^3 + 4*w^2 + 3*w - 10]', '[823, 823, -4*w^3 + 4*w^2 + 15*w - 4]', '[829, 829, 2*w^3 + w^2 - 8*w]', '[853, 853, -w^3 + 2*w^2 - 5]', '[857, 857, 6*w^3 - 6*w^2 - 25*w + 16]', '[857, 857, 3*w^2 - w - 5]', '[859, 859, 4*w + 5]', '[859, 859, w^3 - w^2 - 2*w - 5]', '[877, 877, 2*w^3 - 3*w^2 - 9*w + 1]', '[877, 877, -w^3 + 3*w^2 + w - 10]', '[883, 883, w^3 + 2*w^2 - 3*w - 8]', '[883, 883, -3*w^3 + 4*w^2 + 10*w - 4]', '[907, 907, -5*w^3 + 8*w^2 + 15*w - 18]', '[911, 911, -w^3 + 3*w - 5]', '[937, 937, -3*w^3 + w^2 + 16*w - 5]', '[937, 937, -2*w^3 + 9*w - 4]', '[941, 941, -4*w^3 + 5*w^2 + 10*w - 3]', '[947, 947, -w^3 + 4*w^2 + 3*w - 7]', '[947, 947, 3*w^2 - 2*w - 7]', '[947, 947, -2*w^3 + 4*w^2 + 11*w - 9]', '[947, 947, -4*w^3 + 3*w^2 + 13*w - 5]', '[967, 967, 3*w^2 - w - 6]', '[971, 971, 3*w^3 - 2*w^2 - 8*w + 2]', '[983, 983, -3*w^2 + 6*w + 5]', '[983, 983, -w^3 + 4*w^2 + w - 6]', '[983, 983, 4*w^3 - 3*w^2 - 13*w + 1]', '[983, 983, -2*w^3 + w^2 + 11*w]', '[997, 997, 3*w^3 - 3*w^2 - 7*w + 3]', '[997, 997, w^3 - w - 5]']}
74. label: 4.4.4205.1
    {'degree': 4, 'discriminant': 4205, 'ideals': ['[1, 1, 1]', '[5, 5, -w^3 + w^2 + 5*w]', '[7, 7, -w^3 + 2*w^2 + 3*w - 3]', '[7, 7, w^3 - 2*w^2 - 3*w]', '[13, 13, -w^2 + w + 3]', '[13, 13, -w^2 + w + 2]', '[16, 2, 2]', '[23, 23, -w^2 + 3*w + 1]', '[23, 23, -2*w^3 + 3*w^2 + 9*w - 2]', '[25, 5, w^3 - 2*w^2 - 4*w]', '[25, 5, w^3 - 2*w^2 - 2*w + 2]', '[35, 35, -w^3 + 3*w^2 + w - 3]', '[35, 35, 2*w^3 - 4*w^2 - 7*w + 4]', '[49, 7, w^3 - w^2 - 6*w - 1]', '[49, 7, -w^3 + w^2 + 6*w]', '[49, 49, -2*w^3 + 3*w^2 + 7*w - 1]', '[49, 49, -2*w^3 + 3*w^2 + 7*w]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 3]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 1]', '[65, 65, -w^3 + 2*w^2 + 2*w - 3]', '[65, 65, -2*w^3 + 3*w^2 + 8*w + 1]', '[67, 67, 2*w^3 - 4*w^2 - 7*w + 2]', '[67, 67, -2*w^3 + 4*w^2 + 6*w - 1]', '[80, 10, -2*w^3 + 2*w^2 + 10*w]', '[81, 3, -3]', '[83, 83, 2*w^3 - 3*w^2 - 6*w - 1]', '[83, 83, 3*w^3 - 4*w^2 - 12*w + 1]', '[91, 91, -w^3 + 2*w^2 + 2*w - 4]', '[91, 91, w^3 - 6*w - 2]', '[91, 91, w^2 - 4]', '[91, 91, 2*w^3 - 3*w^2 - 8*w - 2]', '[103, 103, 3*w^3 - 4*w^2 - 12*w - 1]', '[103, 103, 2*w^3 - 3*w^2 - 6*w + 1]', '[107, 107, w^3 - w^2 - 3*w - 3]', '[107, 107, 2*w^3 - 2*w^2 - 9*w]', '[109, 109, -3*w^3 + 5*w^2 + 10*w - 5]', '[109, 109, -2*w^3 + 3*w^2 + 9*w + 1]', '[109, 109, -2*w^3 + 2*w^2 + 7*w]', '[109, 109, w^2 - 3*w - 4]', '[112, 14, -2*w^3 + 4*w^2 + 6*w - 6]', '[112, 14, 2*w^3 - 4*w^2 - 6*w]', '[115, 115, w^3 - 3*w^2 - 3*w + 5]', '[115, 115, -2*w^2 + 3*w + 4]', '[121, 11, 3*w^3 - 4*w^2 - 12*w]', '[121, 11, 2*w^2 - 3*w - 6]', '[125, 5, w^3 - 5*w - 6]', '[125, 25, -w^3 + 3*w^2 + 2*w - 4]', '[139, 139, w^3 - 7*w - 1]', '[139, 139, -w^3 + 2*w^2 + 5*w - 4]', '[139, 139, 3*w^3 - 3*w^2 - 14*w - 2]', '[139, 139, -3*w^3 + 5*w^2 + 13*w - 2]', '[149, 149, -w^2 + 4*w + 1]', '[149, 149, -3*w^3 + 4*w^2 + 14*w - 1]', '[149, 149, 2*w^2 - 3*w - 5]', '[149, 149, -w^3 + 3*w^2 + 3*w - 4]', '[161, 161, 3*w^3 - 5*w^2 - 11*w + 1]', '[161, 161, 2*w^3 - 2*w^2 - 10*w + 1]', '[161, 161, 2*w - 3]', '[161, 161, -2*w^3 + 4*w^2 + 5*w - 4]', '[167, 167, -w^3 - w^2 + 7*w + 4]', '[167, 167, -4*w^3 + 6*w^2 + 15*w - 4]', '[169, 13, w^3 - w^2 - 6*w + 4]', '[169, 13, 2*w^3 - 4*w^2 - 7*w + 1]', '[169, 169, w^3 - 3*w^2 + 4]', '[169, 169, 3*w^3 - 5*w^2 - 12*w + 2]', '[173, 173, w^2 - 3*w - 5]', '[173, 173, 2*w^3 - 2*w^2 - 11*w]', '[175, 35, -2*w^3 + 3*w^2 + 10*w - 1]', '[175, 35, -2*w^3 + 3*w^2 + 8*w - 5]', '[175, 35, -w^3 + 2*w^2 + 2*w + 3]', '[175, 35, w^3 - 8*w - 3]', '[179, 179, 2*w^3 - 2*w^2 - 9*w + 1]', '[179, 179, w^3 - w^2 - 3*w - 4]', '[179, 179, w^2 - 5]', '[179, 179, w^3 - 6*w - 1]', '[197, 197, w^3 + w^2 - 7*w - 6]', '[197, 197, 2*w^3 - 2*w^2 - 9*w + 2]', '[208, 26, -2*w^2 + 2*w + 6]', '[208, 26, -2*w^2 + 2*w + 4]', '[223, 223, -w^2 + 7]', '[223, 223, 2*w^2 - w - 4]', '[227, 227, 2*w^3 - 2*w^2 - 11*w - 2]', '[227, 227, w^3 - w^2 - 7*w - 1]', '[233, 233, w^3 - w^2 - 7*w]', '[233, 233, -2*w^3 + 2*w^2 + 11*w + 1]', '[245, 35, -2*w^2 + 2*w + 5]', '[245, 35, w^2 - 6]', '[245, 245, w + 4]', '[245, 245, -w^3 + w^2 + 5*w + 5]', '[256, 4, 4]', '[257, 257, -2*w^3 + 4*w^2 + 8*w - 1]', '[257, 257, 2*w^2 - 4*w - 7]', '[265, 265, w^3 + w^2 - 9*w - 8]', '[265, 265, -w^3 + 3*w^2 + w - 8]', '[277, 277, -4*w^3 + 6*w^2 + 15*w - 3]', '[277, 277, -3*w^3 + 5*w^2 + 9*w]', '[281, 281, -2*w^3 + 5*w^2 + 3*w - 5]', '[281, 281, -2*w^3 + 5*w^2 + 5*w - 7]', '[281, 281, 2*w^3 - 5*w^2 - 5*w + 4]', '[281, 281, -4*w^3 + 7*w^2 + 15*w - 4]', '[283, 283, 3*w^3 - 4*w^2 - 13*w - 3]', '[283, 283, -w^3 + 2*w^2 + w - 4]', '[299, 299, w^3 - 2*w^2 - 3*w + 6]', '[299, 299, -3*w^3 + 4*w^2 + 11*w - 1]', '[299, 299, -3*w^3 + 4*w^2 + 11*w + 2]', '[299, 299, -w^3 + 2*w^2 + 3*w + 3]', '[313, 313, -2*w^3 + 4*w^2 + 5*w - 5]', '[313, 313, 3*w^3 - 5*w^2 - 11*w]', '[325, 65, 4*w^3 - 6*w^2 - 15*w + 2]', '[325, 65, -w^2 - w + 4]', '[325, 65, 3*w^3 - 5*w^2 - 9*w + 1]', '[325, 65, 2*w^3 - w^2 - 11*w - 3]', '[335, 335, 3*w^3 - 7*w^2 - 7*w + 6]', '[335, 335, -4*w^3 + 8*w^2 + 13*w - 7]', '[343, 7, -4*w^3 + 6*w^2 + 17*w - 1]', '[343, 7, w^3 - 3*w^2 + w + 4]', '[343, 49, 5*w^3 - 8*w^2 - 20*w + 4]', '[343, 49, -2*w^3 + 5*w^2 + 2*w - 4]', '[343, 343, w^3 - 2*w^2 - 6*w + 4]', '[343, 343, -2*w^3 + w^2 + 12*w + 2]', '[347, 347, -w^3 + 2*w^2 + w - 5]', '[347, 347, 3*w^3 - 4*w^2 - 13*w - 4]', '[353, 353, 3*w^3 - 5*w^2 - 12*w + 1]', '[353, 353, -w^3 + 3*w^2 - 5]', '[361, 19, 3*w^3 - 3*w^2 - 13*w - 9]', '[361, 19, 2*w^3 - 2*w^2 - 7*w + 4]', '[368, 46, -2*w^2 + 6*w + 2]', '[368, 46, -4*w^3 + 6*w^2 + 18*w - 4]', '[371, 371, -3*w^3 + 4*w^2 + 9*w + 4]', '[371, 371, -w^3 + 3*w + 4]', '[371, 371, -3*w^3 + 2*w^2 + 15*w + 5]', '[371, 371, -5*w^3 + 6*w^2 + 21*w - 1]', '[373, 373, -3*w^3 + 4*w^2 + 11*w + 1]', '[373, 373, -3*w^3 + 4*w^2 + 11*w]', '[383, 383, 3*w^3 - 5*w^2 - 13*w + 1]', '[383, 383, 2*w^2 - 5*w - 6]', '[397, 397, 4*w^3 - 5*w^2 - 19*w - 1]', '[397, 397, 2*w^3 - 2*w^2 - 9*w - 7]', '[400, 10, 2*w^3 - 4*w^2 - 8*w]', '[400, 10, 2*w^3 - 4*w^2 - 4*w + 4]', '[405, 15, 3*w^3 - 3*w^2 - 15*w]', '[415, 415, -w^3 + 4*w^2 - 2*w - 6]', '[415, 415, -4*w^3 + 8*w^2 + 13*w - 12]', '[431, 431, 2*w^3 - 2*w^2 - 7*w - 5]', '[431, 431, 3*w^3 - 6*w^2 - 11*w + 3]', '[431, 431, 3*w^3 - 3*w^2 - 13*w]', '[431, 431, w^3 - 4*w^2 + w + 8]', '[455, 455, -3*w^3 + 5*w^2 + 8*w]', '[455, 455, w^3 - w^2 - 4*w - 6]', '[455, 455, w^3 - w^2 - 4*w + 4]', '[455, 455, 5*w^3 - 7*w^2 - 20*w + 2]', '[457, 457, 4*w^3 - 7*w^2 - 13*w]', '[457, 457, -3*w^2 + 4*w + 5]', '[463, 463, -3*w^3 + 5*w^2 + 11*w + 1]', '[463, 463, 2*w^3 - 4*w^2 - 5*w + 6]', '[469, 469, -w^3 + 4*w^2 - w + 1]', '[469, 469, 3*w^3 - 8*w^2 - 3*w]', '[469, 469, -5*w^3 + 8*w^2 + 22*w - 7]', '[469, 469, 3*w^3 - 4*w^2 - 15*w + 3]', '[487, 487, -w^3 + 4*w^2 - 7]', '[487, 487, -2*w^3 + 5*w^2 + 6*w - 5]', '[499, 499, -6*w^3 + 8*w^2 + 25*w - 1]', '[499, 499, -w^3 + 4*w^2 - 5]', '[499, 499, -2*w^3 + 5*w^2 + 6*w - 7]', '[499, 499, 3*w^3 - 5*w^2 - 7*w]', '[509, 509, -4*w^3 + 8*w^2 + 15*w - 8]', '[509, 509, 3*w^3 - 4*w^2 - 10*w - 2]', '[509, 509, -3*w^3 + 3*w^2 + 11*w + 6]', '[509, 509, 4*w^3 - 5*w^2 - 16*w]', '[515, 515, -2*w^3 + 6*w^2 + 3*w - 12]', '[515, 515, -3*w^3 + 6*w^2 + 8*w - 6]', '[521, 521, -4*w^3 + 5*w^2 + 15*w - 2]', '[521, 521, w^3 - w^2 - 8*w + 1]', '[521, 521, -4*w^3 + 7*w^2 + 12*w - 6]', '[521, 521, 3*w^3 - 3*w^2 - 16*w - 1]', '[523, 523, 3*w^3 - w^2 - 17*w - 8]', '[523, 523, -5*w^3 + 5*w^2 + 23*w + 4]', '[529, 23, 4*w^3 - 5*w^2 - 18*w - 4]', '[529, 23, 3*w^3 - 6*w^2 - 10*w + 2]', '[529, 529, -2*w^3 + w^2 + 10*w + 2]', '[529, 529, w^3 - 4*w - 6]', '[535, 535, 2*w^3 - w^2 - 13*w - 3]', '[535, 535, -2*w^3 + 4*w^2 + 7*w - 9]', '[545, 545, 4*w^3 - 5*w^2 - 16*w - 3]', '[545, 545, 8*w^3 - 13*w^2 - 30*w + 10]', '[545, 545, -w^3 + 4*w^2 + w - 9]', '[545, 545, 2*w^3 - 4*w^2 - 5*w + 7]', '[547, 547, -2*w^3 + 5*w^2 + 6*w - 6]', '[547, 547, -w^3 + 4*w^2 - 6]', '[557, 557, -3*w^3 + 6*w^2 + 9*w - 10]', '[557, 557, 3*w^3 - 6*w^2 - 9*w - 1]', '[560, 70, -2*w^3 + 6*w^2 + 2*w - 6]', '[560, 70, 4*w^3 - 8*w^2 - 14*w + 8]', '[567, 21, 3*w^3 - 6*w^2 - 9*w + 9]', '[567, 21, -3*w^3 + 6*w^2 + 9*w]', '[571, 571, 4*w^3 - 4*w^2 - 17*w - 6]', '[571, 571, -2*w^3 + 6*w^2 + 3*w - 10]', '[571, 571, 4*w^3 - 5*w^2 - 18*w + 3]', '[571, 571, -3*w^3 + 7*w^2 + 9*w - 5]', '[575, 115, 4*w^3 - 5*w^2 - 17*w + 3]', '[575, 115, 2*w^3 - 3*w^2 - 8*w - 5]', '[575, 115, -w^3 + 2*w^2 + 2*w - 7]', '[575, 115, -2*w^3 + 3*w^2 + 5*w + 4]', '[581, 581, -w^2 - w + 5]', '[581, 581, -4*w^3 + 8*w^2 + 7*w + 1]', '[581, 581, -9*w^3 + 13*w^2 + 37*w - 8]', '[581, 581, -2*w^3 + w^2 + 11*w + 2]', '[587, 587, 3*w^3 - 3*w^2 - 14*w]', '[587, 587, w^3 - w^2 - 2*w - 4]', '[593, 593, -w^3 + 3*w^2 + 2*w - 10]', '[593, 593, -5*w^3 + 7*w^2 + 19*w - 4]', '[605, 55, -3*w^3 + 7*w^2 + 8*w - 12]', '[605, 55, 6*w^3 - 8*w^2 - 25*w - 3]', '[613, 613, 3*w^3 - 5*w^2 - 12*w - 4]', '[613, 613, -w^3 + 3*w^2 - 10]', '[625, 5, 5]', '[625, 25, 2*w^3 - 2*w^2 - 12*w - 3]', '[625, 25, 2*w^3 - 2*w^2 - 12*w + 1]', '[631, 631, 4*w^3 - 8*w^2 - 13*w + 4]', '[631, 631, 3*w^3 - 4*w^2 - 15*w + 2]', '[631, 631, w^3 - 9*w - 1]', '[631, 631, 3*w^3 - 7*w^2 - 7*w + 9]', '[637, 91, 4*w^3 - 4*w^2 - 17*w - 4]', '[637, 91, -4*w^3 + 5*w^2 + 16*w + 1]', '[637, 91, 3*w^3 - 3*w^2 - 11*w - 3]', '[637, 91, -3*w^3 + 4*w^2 + 10*w + 1]', '[637, 637, -w^3 + 9*w + 3]', '[637, 637, -w^3 + w^2 + 8*w + 1]', '[637, 637, -3*w^3 + 3*w^2 + 16*w + 3]', '[637, 637, -3*w^3 + 4*w^2 + 15*w]', '[643, 643, 3*w^3 - 3*w^2 - 16*w - 2]', '[643, 643, w^3 - w^2 - 8*w]', '[647, 647, -w^3 + 4*w^2 + 2*w - 4]', '[647, 647, -3*w^2 + 4*w + 10]', '[673, 673, w^3 + 2*w^2 - 9*w - 8]', '[673, 673, -w^3 + 4*w^2 + 3*w - 7]', '[683, 683, 3*w^3 - 3*w^2 - 11*w - 2]', '[683, 683, 4*w^3 - 4*w^2 - 17*w - 5]', '[689, 689, 2*w^3 - 3*w^2 - 13*w - 4]', '[689, 689, 2*w^3 - w^2 - 15*w - 8]', '[689, 689, 4*w^3 - 5*w^2 - 21*w - 5]', '[689, 689, 4*w^3 - 3*w^2 - 23*w - 11]', '[695, 695, 5*w^3 - 7*w^2 - 23*w + 5]', '[695, 695, -w^3 + 4*w^2 + w - 14]', '[695, 695, 2*w - 7]', '[695, 695, -6*w^3 + 11*w^2 + 19*w - 4]', '[709, 709, -5*w^3 + 7*w^2 + 21*w + 1]', '[709, 709, -3*w^3 + 2*w^2 + 16*w + 4]', '[709, 709, 4*w^3 - 4*w^2 - 19*w - 2]', '[709, 709, -2*w^3 + 4*w^2 + 3*w - 4]', '[721, 721, -4*w^3 + 5*w^2 + 17*w - 4]', '[721, 721, -2*w^3 + 3*w^2 + 5*w + 5]', '[721, 721, -7*w^3 + 9*w^2 + 31*w - 2]', '[721, 721, -2*w^3 + 4*w^2 + w + 1]', '[745, 745, 5*w^3 - 8*w^2 - 20*w + 3]', '[745, 745, 4*w^3 - 5*w^2 - 18*w + 4]', '[745, 745, -w^3 + 2*w^2 + 4]', '[745, 745, 5*w^3 - 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11]', '[1405, 1405, 5*w^3 - 11*w^2 - 14*w + 15]', '[1405, 1405, 7*w^3 - 12*w^2 - 23*w + 3]', '[1405, 1405, 8*w^3 - 15*w^2 - 28*w + 15]', '[1405, 1405, 9*w^3 - 14*w^2 - 35*w + 5]', '[1415, 1415, 5*w^3 - 7*w^2 - 19*w + 1]', '[1415, 1415, 4*w^2 - 6*w - 13]', '[1417, 1417, 5*w^3 - 4*w^2 - 23*w - 6]', '[1417, 1417, 3*w^3 - w^2 - 14*w - 11]', '[1417, 1417, 3*w^3 - w^2 - 14*w - 5]', '[1417, 1417, 3*w^3 - 2*w^2 - 11*w - 7]', '[1417, 1417, -4*w^3 + 8*w^2 + 17*w - 10]', '[1417, 1417, -w^3 + 3*w^2 + 7*w - 5]', '[1417, 1417, -3*w^3 + 5*w^2 + 17*w + 2]', '[1417, 1417, -w^3 + 3*w^2 + 10*w + 2]', '[1427, 1427, -3*w^3 + 7*w^2 + 6*w - 8]', '[1427, 1427, -5*w^3 + 9*w^2 + 18*w - 4]', '[1456, 182, -2*w^3 + 4*w^2 + 4*w - 8]', '[1456, 182, 2*w^3 - 12*w - 4]', '[1456, 182, 2*w^2 - 8]', '[1456, 182, 4*w^3 - 6*w^2 - 16*w - 4]', '[1483, 1483, -2*w^3 + w^2 + 14*w + 5]', '[1483, 1483, 3*w^3 - 4*w^2 - 16*w - 1]', '[1495, 1495, 4*w^3 - 8*w^2 - 12*w + 1]', '[1495, 1495, -2*w^3 + 14*w + 3]', '[1495, 1495, -2*w^3 + 4*w^2 + 10*w - 7]', '[1495, 1495, 4*w^3 - 8*w^2 - 12*w + 11]', '[1499, 1499, 3*w^3 - 6*w^2 - 13*w + 9]', '[1499, 1499, 5*w^3 - 9*w^2 - 20*w + 5]', '[1499, 1499, 3*w^2 - 7*w - 9]', '[1499, 1499, 4*w^3 - 7*w^2 - 17*w + 2]', '[1541, 1541, 6*w^3 - 11*w^2 - 19*w + 10]', '[1541, 1541, -9*w^3 + 15*w^2 + 32*w - 14]', '[1541, 1541, 6*w^3 - 15*w^2 - 7*w + 7]', '[1541, 1541, -5*w^3 + 11*w^2 + 9*w - 6]', '[1543, 1543, -4*w^3 + 9*w^2 + 11*w - 8]', '[1543, 1543, -4*w^3 + 9*w^2 + 11*w - 9]', '[1553, 1553, -w^3 + 2*w^2 + 3*w - 8]', '[1553, 1553, w^3 - 2*w^2 - 3*w - 5]', '[1559, 1559, -4*w^3 + 7*w^2 + 15*w - 1]', '[1559, 1559, 3*w^2 - 6*w - 11]', '[1559, 1559, -2*w^3 + 5*w^2 + 3*w - 8]', '[1559, 1559, -3*w^3 + 6*w^2 + 12*w - 1]', '[1561, 1561, w^3 - 4*w^2 - 4*w + 9]', '[1561, 1561, 6*w^3 - 10*w^2 - 19*w - 1]', '[1561, 1561, -6*w^3 + 13*w^2 + 19*w - 20]', '[1561, 1561, -w^3 - 2*w^2 + 7*w + 3]', '[1565, 1565, 7*w^3 - 11*w^2 - 26*w + 5]', '[1565, 1565, -3*w^3 + 8*w^2 + 6*w - 11]', '[1567, 1567, -w^3 + 3*w^2 - w - 7]', '[1567, 1567, 4*w^3 - 6*w^2 - 17*w - 2]', '[1573, 143, 6*w^3 - 7*w^2 - 29*w - 4]', '[1573, 143, 3*w^3 - w^2 - 17*w - 16]', '[1573, 143, 3*w^3 - 3*w^2 - 17*w - 4]', '[1573, 143, 3*w^3 - 3*w^2 - 14*w - 10]', '[1589, 1589, w^3 - 4*w^2 + 3*w + 7]', '[1589, 1589, 2*w^3 - 5*w^2 + 5]', '[1589, 1589, -7*w^3 + 10*w^2 + 30*w - 1]', '[1589, 1589, -5*w^3 + 8*w^2 + 21*w - 2]', '[1619, 1619, -w^3 + 3*w^2 + 6*w - 6]', '[1619, 1619, -4*w^3 + 7*w^2 + 14*w + 1]', '[1619, 1619, -3*w^3 + w^2 + 18*w + 6]', '[1619, 1619, 3*w^3 - 6*w^2 - 8*w + 9]', '[1625, 65, -4*w^3 + 5*w^2 + 20*w - 1]', '[1625, 65, -w^3 + 10*w + 1]', '[1625, 325, w^2 - 2*w - 9]', '[1625, 325, w^3 - 2*w^2 - 4*w - 5]', '[1631, 1631, -6*w^3 + 10*w^2 + 24*w - 5]', '[1631, 1631, 3*w^3 - 7*w^2 - 3*w + 5]', '[1631, 1631, 8*w^3 - 12*w^2 - 33*w + 4]', '[1631, 1631, -2*w^3 + 6*w^2 - 7]', '[1637, 1637, w^2 - 3*w + 5]', '[1637, 1637, -2*w^3 + 3*w^2 + 9*w - 8]', '[1648, 206, 6*w^3 - 8*w^2 - 24*w - 2]', '[1648, 206, 4*w^3 - 6*w^2 - 12*w + 2]', '[1657, 1657, -2*w^3 + 6*w^2 + 5*w - 11]', '[1657, 1657, -w^3 + 5*w^2 - w - 6]', '[1669, 1669, 2*w^3 - 2*w^2 - 13*w + 1]', '[1669, 1669, 3*w^3 - 3*w^2 - 17*w]', '[1669, 1669, 5*w^3 - 6*w^2 - 20*w - 1]', '[1669, 1669, 4*w^3 - 5*w^2 - 14*w - 3]', '[1675, 335, w^3 - w^2 - 11*w + 3]', '[1675, 335, w^3 + w^2 - 5*w + 3]', '[1675, 335, w^3 - 4*w^2 + 6*w]', '[1675, 335, w^3 - 4*w^2 - 2]', '[1681, 41, w^3 - 10*w - 2]', '[1681, 41, 4*w^3 - 5*w^2 - 20*w]', '[1712, 214, 2*w^3 - 2*w^2 - 6*w - 6]', '[1712, 214, 4*w^3 - 4*w^2 - 18*w]', '[1715, 35, -5*w^3 + 8*w^2 + 16*w + 1]', '[1715, 35, 6*w^3 - 9*w^2 - 22*w + 5]', '[1715, 245, w^3 + 2*w^2 - 9*w - 4]', '[1715, 245, -w^3 + 4*w^2 + 3*w - 11]', '[1715, 1715, -w^3 - 2*w^2 + 11*w + 12]', '[1715, 1715, -3*w^3 + 6*w^2 + 13*w - 1]', '[1733, 1733, -2*w^3 + w^2 + 14*w + 4]', '[1733, 1733, 3*w^3 - 4*w^2 - 16*w]', '[1735, 1735, w^3 + 3*w^2 - 11*w - 13]', '[1735, 1735, 6*w^3 - 8*w^2 - 24*w + 1]', '[1744, 218, -6*w^3 + 10*w^2 + 20*w - 10]', '[1744, 218, -4*w^3 + 6*w^2 + 18*w + 2]', '[1744, 218, -4*w^3 + 4*w^2 + 14*w]', '[1744, 218, 2*w^2 - 6*w - 8]', '[1747, 1747, 4*w^3 - 3*w^2 - 22*w - 3]', '[1747, 1747, 5*w^3 - 6*w^2 - 23*w + 3]', '[1753, 1753, 3*w^3 - 3*w^2 - 11*w - 8]', '[1753, 1753, 4*w^3 - 4*w^2 - 17*w + 1]', '[1765, 1765, -4*w^3 + 9*w^2 + 12*w - 12]', '[1765, 1765, 6*w^3 - 9*w^2 - 22*w]', '[1792, 28, -4*w^3 + 8*w^2 + 12*w - 12]', '[1792, 28, 4*w^3 - 8*w^2 - 12*w]', '[1799, 1799, w^3 - 4*w^2 - w - 2]', '[1799, 1799, 5*w^3 - 8*w^2 - 23*w + 5]', '[1799, 1799, -w^3 - 2*w^2 + 13*w + 6]', '[1799, 1799, w^3 - 4*w^2 - w + 15]', '[1805, 95, 6*w^3 - 3*w^2 - 35*w - 13]', '[1805, 95, -6*w^3 + 8*w^2 + 25*w - 7]', '[1807, 1807, 5*w^3 - 6*w^2 - 24*w - 7]', '[1807, 1807, -2*w^3 + 5*w^2 + 3*w + 3]', '[1807, 1807, 5*w^3 - 7*w^2 - 21*w - 3]', '[1807, 1807, 4*w^3 - 7*w^2 - 14*w - 2]', '[1807, 1807, -3*w^3 + 6*w^2 + 8*w - 10]', '[1807, 1807, -2*w^3 + 4*w^2 + 3*w - 6]', '[1807, 1807, 8*w^3 - 9*w^2 - 38*w - 9]', '[1807, 1807, -w + 7]', '[1823, 1823, -5*w^3 + 8*w^2 + 19*w]', '[1823, 1823, -3*w^3 + 6*w^2 + 7*w - 7]', '[1831, 1831, 2*w^3 - 5*w^2 - 8*w + 10]', '[1831, 1831, w^3 + 2*w^2 - 10*w - 4]', '[1831, 1831, w^3 - w^2 - w - 5]', '[1831, 1831, 4*w^3 - 4*w^2 - 19*w]', '[1840, 230, 2*w^3 - 6*w^2 - 6*w + 10]', '[1840, 230, -4*w^2 + 6*w + 8]', '[1847, 1847, 3*w^3 - 2*w^2 - 16*w - 2]', '[1847, 1847, w^2 + 2*w - 6]', '[1855, 1855, -w^3 - 3*w^2 + 15*w + 9]', '[1855, 1855, 2*w^3 - 2*w^2 - 13*w - 2]', '[1855, 1855, -3*w^3 + 3*w^2 + 17*w + 3]', '[1855, 1855, 6*w^3 - 10*w^2 - 27*w + 6]', '[1861, 1861, 3*w^3 - 2*w^2 - 17*w - 1]', '[1861, 1861, -6*w^3 + 10*w^2 + 20*w - 3]', '[1861, 1861, 6*w^3 - 10*w^2 - 20*w + 5]', '[1861, 1861, w^3 - 2*w^2 - 7*w + 6]', '[1863, 69, 3*w^2 - 9*w - 3]', '[1863, 69, 6*w^3 - 9*w^2 - 27*w + 6]', '[1865, 1865, 2*w^3 - 6*w^2 - 2*w + 11]', '[1865, 1865, 3*w^3 - 7*w^2 - 7*w + 11]', '[1879, 1879, 7*w^3 - 8*w^2 - 33*w - 8]', '[1879, 1879, 4*w^3 - 7*w^2 - 19*w + 9]', '[1879, 1879, -5*w^3 + 5*w^2 + 20*w - 1]', '[1879, 1879, -6*w^3 + 10*w^2 + 19*w - 9]', '[1907, 1907, 6*w^3 - 8*w^2 - 24*w - 1]', '[1907, 1907, 4*w^3 - 6*w^2 - 12*w + 1]', '[1909, 1909, -4*w^3 + 13*w^2 - 8]', '[1909, 1909, -11*w^3 + 20*w^2 + 42*w - 22]', '[1909, 1909, -2*w^3 + 6*w^2 + 4*w - 9]', '[1909, 1909, -2*w^3 + 6*w^2 + 4*w - 7]', '[1913, 1913, 3*w^3 - 2*w^2 - 15*w - 2]', '[1913, 1913, w^3 - 3*w - 7]', '[1915, 1915, -6*w^3 + 8*w^2 + 23*w + 5]', '[1915, 1915, -4*w^3 + 9*w^2 + 13*w - 13]', '[1936, 22, 6*w^3 - 8*w^2 - 24*w]', '[1936, 22, 4*w^2 - 6*w - 12]', '[1937, 1937, -w^2 - 2*w - 5]', '[1937, 1937, -5*w^3 + 6*w^2 + 20*w + 2]', '[1937, 1937, 3*w^3 - 2*w^2 - 16*w - 13]', '[1937, 1937, -4*w^3 + 5*w^2 + 14*w + 2]', '[1937, 1937, 3*w^3 - 4*w^2 - 13*w - 8]', '[1937, 1937, 2*w^3 - 3*w^2 - 6*w + 8]', '[1937, 1937, -w^3 + 2*w^2 + w - 9]', '[1937, 1937, -3*w^3 + 4*w^2 + 12*w + 8]', '[1939, 1939, 12*w^3 - 18*w^2 - 49*w + 14]', '[1939, 1939, 4*w^3 - 4*w^2 - 20*w + 1]', '[1939, 1939, 4*w - 5]', '[1939, 1939, 5*w^3 - 11*w^2 - 7*w - 1]', '[1967, 1967, 10*w^3 - 14*w^2 - 43*w + 8]', '[1967, 1967, -2*w^2 + 5*w - 4]', '[1967, 1967, 3*w^3 - 5*w^2 - 13*w + 11]', '[1967, 1967, 7*w^3 - 13*w^2 - 27*w + 19]', '[1967, 1967, 2*w^3 - 4*w^2 - 2*w - 5]', '[1967, 1967, 3*w^3 - 10*w^2 + 4*w + 4]', '[1967, 1967, -w^3 - 2*w^2 + 12*w + 2]', '[1967, 1967, 12*w^3 - 19*w^2 - 50*w + 16]', '[1973, 1973, -3*w^3 + 3*w^2 + 17*w + 2]', '[1973, 1973, 2*w^3 - 2*w^2 - 13*w - 1]', '[1981, 1981, 3*w^3 - 5*w^2 - 10*w + 10]', '[1981, 1981, -3*w^3 + 5*w^2 + 10*w + 6]', '[1981, 1981, -w^2 + 7*w + 2]', '[1981, 1981, -6*w^3 + 7*w^2 + 29*w + 3]', '[1985, 1985, -3*w^3 + 8*w^2 + 9*w - 19]', '[1985, 1985, 5*w^3 - 3*w^2 - 28*w - 9]', '[1997, 1997, 4*w^3 - 5*w^2 - 14*w - 1]', '[1997, 1997, 5*w^3 - 6*w^2 - 20*w - 3]', '[2000, 10, 2*w^3 - 10*w - 12]', '[2000, 50, -2*w^3 + 6*w^2 + 4*w - 8]', '[2017, 2017, 4*w^3 - 7*w^2 - 11*w + 7]', '[2017, 2017, 6*w^3 - 9*w^2 - 23*w - 2]', '[2025, 15, -3*w^3 + 6*w^2 + 12*w]', '[2025, 15, -3*w^3 + 6*w^2 + 6*w - 6]', '[2053, 2053, 5*w^3 - 8*w^2 - 20*w + 1]', '[2053, 2053, -2*w^3 + 5*w^2 + 2*w - 7]', '[2063, 2063, w^3 - w^2 - 4*w - 8]', '[2063, 2063, -w^3 + w^2 + 4*w - 6]', '[2075, 415, -3*w^3 + 4*w^2 + 6*w + 3]', '[2075, 415, -w^3 + 6*w^2 - 4*w - 3]', '[2075, 415, w^3 - 4*w^2 - 5*w + 8]', '[2075, 415, 5*w^3 - 6*w^2 - 21*w + 4]', '[2083, 2083, -w^3 + 4*w^2 - 2*w - 9]', '[2083, 2083, 4*w^3 - 7*w^2 - 16*w + 1]', '[2087, 2087, -2*w^3 + 6*w^2 + 5*w - 10]', '[2087, 2087, -w^3 + 5*w^2 - w - 7]', '[2093, 2093, -4*w^3 + 3*w^2 + 21*w + 4]', '[2093, 2093, 6*w^3 - 9*w^2 - 25*w + 1]', '[2093, 2093, -2*w^3 + 5*w^2 + 3*w - 9]', '[2093, 2093, 4*w^3 - 7*w^2 - 15*w]', '[2093, 2093, -2*w^3 + 5*w^2 + w - 6]', '[2093, 2093, -w^2 - 3*w + 5]', '[2093, 2093, 2*w^3 - 13*w - 3]', '[2093, 2093, -w^3 + 3*w^2 + 5*w - 8]', '[2111, 2111, -5*w^3 + 9*w^2 + 19*w - 4]', '[2111, 2111, -8*w^3 + 13*w^2 + 29*w - 8]', '[2111, 2111, -2*w^3 + 6*w^2 + w - 9]', '[2111, 2111, -3*w^3 + 9*w^2 + 4*w - 14]', '[2113, 2113, 4*w^3 - 3*w^2 - 19*w - 4]', '[2113, 2113, -3*w^3 + 8*w^2 + 6*w - 10]', '[2137, 2137, -6*w^3 + 9*w^2 + 22*w - 4]', '[2137, 2137, -5*w^3 + 8*w^2 + 16*w]', '[2141, 2141, 2*w^3 + 2*w^2 - 15*w - 12]', '[2141, 2141, -6*w^3 + 7*w^2 + 25*w - 2]', '[2141, 2141, 6*w^3 - 8*w^2 - 27*w - 3]', '[2141, 2141, 5*w^3 - 6*w^2 - 21*w + 6]', '[2153, 2153, -2*w^3 + 12*w + 3]', '[2153, 2153, 2*w^2 - 9]', '[2155, 2155, -9*w^3 + 13*w^2 + 35*w + 1]', '[2155, 2155, 3*w^3 - w^2 - 20*w - 7]', '[2155, 2155, -6*w^3 + 12*w^2 + 20*w - 11]', '[2155, 2155, -3*w^3 + 6*w^2 + 10*w - 13]', '[2171, 2171, -4*w^3 + 7*w^2 + 18*w + 7]', '[2171, 2171, -7*w^3 + 11*w^2 + 31*w - 6]', '[2171, 2171, -3*w^3 + 5*w^2 + 16*w - 2]', '[2171, 2171, -5*w^3 + 6*w^2 + 25*w + 11]', '[2179, 2179, -2*w - 7]', '[2179, 2179, -w^3 - 3*w^2 + 10*w + 6]', '[2179, 2179, -2*w^3 + 2*w^2 + 10*w + 9]', '[2179, 2179, 2*w^3 - 6*w^2 - w - 2]', '[2191, 2191, -3*w^3 + 7*w^2 + 5*w + 3]', '[2191, 2191, -6*w^3 + 8*w^2 + 28*w - 3]', '[2191, 2191, -2*w^2 + 8*w + 1]', '[2191, 2191, 6*w^3 - 10*w^2 - 23*w + 14]', '[2197, 13, 4*w^3 - 9*w^2 - 12*w + 11]', '[2197, 13, 3*w^3 - 8*w^2 - 6*w + 7]', '[2197, 169, 3*w^3 - 2*w^2 - 14*w - 1]', '[2197, 169, -2*w^3 + w^2 + 8*w + 9]', '[2197, 2197, -6*w^3 + 9*w^2 + 26*w - 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4]', '[2275, 455, -2*w^3 + 6*w^2 + 6*w - 7]', '[2275, 455, 2*w^2 - 8*w - 3]', '[2275, 455, 3*w^3 - 8*w^2 - 3*w + 8]', '[2285, 2285, -4*w^3 + 11*w^2 + 6*w - 13]', '[2285, 2285, -5*w^3 + 8*w^2 + 18*w + 4]', '[2287, 2287, 5*w^3 - 3*w^2 - 29*w - 10]', '[2287, 2287, 5*w^3 - 9*w^2 - 12*w]', '[2297, 2297, -w^2 + 2*w - 5]', '[2297, 2297, w^3 - 2*w^2 - 4*w + 9]', '[2311, 2311, -5*w^3 + 9*w^2 + 16*w + 1]', '[2311, 2311, 6*w^3 - 7*w^2 - 30*w - 6]', '[2311, 2311, 4*w^3 - 7*w^2 - 17*w + 1]', '[2311, 2311, 3*w^2 - 7*w - 10]', '[2315, 2315, -8*w^3 + 12*w^2 + 31*w - 5]', '[2315, 2315, 2*w^3 - 7*w^2 - w + 11]', '[2327, 2327, 5*w^3 - 8*w^2 - 22*w + 1]', '[2327, 2327, 3*w^2 - 6*w - 14]', '[2327, 2327, 3*w^3 - 6*w^2 - 12*w - 2]', '[2327, 2327, 3*w^2 - 8*w - 9]', '[2327, 2327, 3*w^3 - 6*w^2 - 13*w]', '[2327, 2327, 2*w^2 - 6*w - 9]', '[2327, 2327, 4*w^3 - 6*w^2 - 18*w - 3]', '[2327, 2327, w^3 + 2*w^2 - 11*w - 13]', '[2333, 2333, 2*w^3 - 2*w^2 - 6*w - 7]', '[2333, 2333, 4*w^3 - 4*w^2 - 18*w + 1]', '[2345, 2345, -3*w^3 + 11*w^2 - 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10]', '[4751, 4751, -4*w^3 + 10*w^2 + 11*w - 16]', '[4751, 4751, 3*w^3 - 9*w^2 - 5*w + 7]', '[4751, 4751, 2*w^3 - 3*w^2 - 8*w - 8]', '[4765, 4765, -w^3 + 6*w^2 - 3*w - 12]', '[4765, 4765, 9*w^3 - 12*w^2 - 37*w]', '[4781, 4781, -6*w^3 + 6*w^2 + 26*w + 1]', '[4781, 4781, -4*w^3 + 4*w^2 + 14*w + 9]', '[4781, 4781, -3*w^3 + 3*w^2 + 7*w + 5]', '[4781, 4781, -8*w^3 + 8*w^2 + 37*w + 6]', '[4784, 598, 2*w^3 - 4*w^2 - 6*w + 12]', '[4784, 598, -6*w^3 + 8*w^2 + 22*w - 2]', '[4784, 598, -6*w^3 + 8*w^2 + 22*w + 4]', '[4784, 598, -2*w^3 + 4*w^2 + 6*w + 6]', '[4801, 4801, 4*w^3 - 3*w^2 - 20*w - 2]', '[4801, 4801, 6*w^3 - 6*w^2 - 29*w - 2]', '[4801, 4801, w^3 - 2*w - 8]', '[4801, 4801, 5*w^3 - 4*w^2 - 26*w - 4]', '[4805, 155, -2*w^3 + 8*w^2 - 3*w - 13]', '[4805, 155, -8*w^3 + 15*w^2 + 27*w - 19]', '[4813, 4813, 7*w^3 - 8*w^2 - 29*w - 3]', '[4813, 4813, 5*w^3 - 6*w^2 - 17*w - 4]', '[4823, 4823, -w^3 + 12*w + 12]', '[4823, 4823, -8*w^3 + 7*w^2 + 34*w + 18]', '[4823, 4823, -5*w^3 + 2*w^2 + 24*w + 10]', '[4823, 4823, -6*w^3 + 9*w^2 + 30*w + 4]', '[4823, 4823, -3*w^3 + 24*w + 16]', '[4823, 4823, -4*w^3 + w^2 + 18*w + 14]', '[4823, 4823, -7*w^3 + 6*w^2 + 28*w + 2]', '[4823, 4823, -6*w^3 + 7*w^2 + 30*w + 12]', '[4849, 4849, -5*w^3 + 6*w^2 + 26*w + 4]', '[4849, 4849, -5*w^3 + 5*w^2 + 27*w + 7]', '[4849, 4849, -2*w^3 + 2*w^2 + 15*w + 4]', '[4849, 4849, -2*w^3 + w^2 + 16*w + 6]', '[4865, 4865, 12*w^3 - 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3*w^2 - 6*w - 9]', '[4963, 4963, -13*w^3 + 18*w^2 + 54*w - 5]', '[4963, 4963, 3*w^3 - 4*w^2 - 12*w + 9]', '[4963, 4963, 10*w^3 - 13*w^2 - 42*w - 1]', '[4963, 4963, w^3 - 6*w^2 + 3*w + 11]', '[4963, 4963, 3*w^3 - 8*w^2 + 3*w + 3]', '[4963, 4963, -w^3 + 7*w^2 - 6*w - 11]', '[4963, 4963, 13*w^3 - 18*w^2 - 57*w + 6]', '[4979, 4979, -5*w^3 + 5*w^2 + 18*w + 10]', '[4979, 4979, 7*w^3 - 7*w^2 - 30*w - 2]', '[4979, 4979, 4*w^3 - 2*w^2 - 17*w - 3]', '[4979, 4979, -5*w^3 + 3*w^2 + 23*w + 16]', '[4987, 4987, 3*w^2 - 8*w - 11]', '[4987, 4987, 5*w^3 - 8*w^2 - 22*w - 1]', '[4993, 4993, w^3 + 3*w^2 - 16*w - 5]', '[4993, 4993, 2*w^3 - 5*w^2 - 2*w + 14]', '[5008, 626, -4*w^3 + 8*w^2 + 10*w - 10]', '[5008, 626, 6*w^3 - 10*w^2 - 22*w]', '[5011, 5011, -2*w^3 + 17*w + 7]', '[5011, 5011, 5*w^3 - 7*w^2 - 25*w]', '[5011, 5011, -3*w^3 + 9*w^2 + 4*w - 9]', '[5011, 5011, -5*w^3 + 11*w^2 + 16*w - 13]', '[5021, 5021, -2*w^3 + 7*w^2 + 6*w - 12]', '[5021, 5021, 3*w^2 - 7*w - 15]', '[5021, 5021, 4*w^3 - 7*w^2 - 17*w - 4]', '[5021, 5021, w^3 + 4*w^2 - 12*w - 12]', '[5023, 5023, 6*w^3 - 11*w^2 - 20*w + 2]', '[5023, 5023, 5*w^3 - 10*w^2 - 14*w + 12]', '[5039, 5039, -2*w^3 + 3*w^2 + 5*w - 10]', '[5039, 5039, 4*w^3 - 5*w^2 - 17*w - 11]', '[5039, 5039, 6*w^3 - 5*w^2 - 28*w - 6]', '[5039, 5039, -3*w^3 + 9*w^2 + 4*w - 11]', '[5041, 71, -3*w^3 + 8*w^2 + 5*w - 14]', '[5041, 71, 7*w^3 - 9*w^2 - 31*w - 6]', '[5047, 721, -3*w^3 + 9*w^2 + 5*w - 15]', '[5047, 721, 5*w^2 - 7*w - 16]', '[5047, 721, -4*w^3 + 10*w^2 + 11*w - 8]', '[5047, 721, -2*w^3 + 7*w^2 + 5*w - 7]', '[5047, 5047, -2*w^2 + 4*w - 5]', '[5047, 5047, -2*w^3 + w^2 + 10*w - 6]', '[5047, 5047, w^3 - 4*w - 14]', '[5047, 5047, -2*w^3 + 4*w^2 + 8*w - 13]', '[5051, 5051, 4*w^3 - 6*w^2 - 21*w + 4]', '[5051, 5051, w^3 + w^2 - 13*w - 5]', '[5051, 5051, 6*w^3 - 8*w^2 - 29*w]', '[5051, 5051, 3*w^3 - w^2 - 21*w - 5]', '[5099, 5099, -9*w^3 + 16*w^2 + 35*w - 11]', '[5099, 5099, 4*w^3 - 7*w^2 - 17*w - 3]', '[5099, 5099, w^3 - 6*w^2 - 4*w + 8]', '[5099, 5099, 3*w^2 - 7*w - 14]', '[5105, 5105, 8*w^3 - 10*w^2 - 33*w - 5]', '[5105, 5105, 10*w^3 - 14*w^2 - 45*w + 9]', '[5105, 5105, -w^2 + 5*w - 9]', '[5105, 5105, -2*w^3 + 7*w^2 + 3*w - 13]', '[5113, 5113, w^2 - 2*w - 11]', '[5113, 5113, w^3 - 2*w^2 - 4*w - 7]', '[5129, 5129, -2*w^3 - 3*w^2 + 22*w + 6]', '[5129, 5129, 7*w^3 - 9*w^2 - 26*w + 4]', '[5129, 5129, 5*w^3 - 7*w^2 - 15*w - 2]', '[5129, 5129, -14*w^3 + 20*w^2 + 60*w - 13]', '[5153, 5153, -w^3 + 3*w^2 + 6*w - 9]', '[5153, 5153, -3*w^3 + w^2 + 18*w + 3]', '[5161, 5161, 7*w^3 - 7*w^2 - 30*w - 7]', '[5161, 5161, 11*w^3 - 12*w^2 - 49*w - 8]', '[5161, 5161, 3*w^3 + 2*w^2 - 21*w - 16]', '[5161, 5161, 5*w^3 - 30*w - 23]', '[5167, 5167, 3*w^2 - w - 13]', '[5167, 5167, -2*w^3 - w^2 + 13*w + 4]', '[5171, 5171, 4*w^3 - 7*w^2 - 18*w - 2]', '[5171, 5171, -8*w^3 + 14*w^2 + 25*w + 2]', '[5171, 5171, w^3 + 2*w^2 - 12*w - 14]', '[5171, 5171, -9*w^3 + 15*w^2 + 31*w - 15]', '[5197, 5197, w^3 - 12*w]', '[5197, 5197, 6*w^3 - 7*w^2 - 30*w]', '[5200, 130, 8*w^3 - 12*w^2 - 30*w + 4]', '[5200, 130, -2*w^2 - 2*w + 8]', '[5200, 130, 6*w^3 - 10*w^2 - 18*w + 2]', '[5200, 130, 4*w^3 - 2*w^2 - 22*w - 6]', '[5215, 5215, -w^3 + 4*w^2 - 3*w + 5]', '[5215, 5215, -5*w^3 + 9*w^2 + 13*w + 8]', '[5215, 5215, w^2 - 3*w + 7]', '[5215, 5215, 9*w^3 - 14*w^2 - 33*w + 3]', '[5215, 5215, -6*w^3 + 13*w^2 + 18*w - 15]', '[5215, 5215, -2*w^3 + 3*w^2 + 9*w - 10]', '[5215, 5215, -8*w^3 + 12*w^2 + 31*w - 15]', '[5215, 5215, -5*w^3 + 8*w^2 + 21*w - 14]', '[5221, 5221, -4*w^3 + 6*w^2 + 15*w - 11]', '[5221, 5221, 3*w^3 - 7*w^2 - 6*w - 4]', '[5221, 5221, -5*w^3 + 9*w^2 + 18*w - 16]', '[5221, 5221, 3*w^3 - 5*w^2 - 9*w - 8]', '[5227, 5227, -2*w^3 + 7*w^2 - w - 12]', '[5227, 5227, 6*w^3 - 11*w^2 - 23*w + 5]', '[5233, 5233, w^3 - 5*w^2 + 3*w + 18]', '[5233, 5233, -9*w^3 + 14*w^2 + 32*w - 10]', '[5243, 749, 3*w^3 - 18*w - 7]', '[5243, 749, 2*w^3 + w^2 - 15*w - 4]', '[5243, 749, 3*w^2 - 11]', '[5243, 749, -2*w^3 + 5*w^2 + 9*w - 11]', '[5243, 5243, 5*w^3 - 9*w^2 - 18*w]', '[5243, 5243, -3*w^3 + 7*w^2 + 6*w - 12]', '[5243, 5243, 6*w^3 - 10*w^2 - 21*w - 3]', '[5243, 5243, -5*w^3 + 9*w^2 + 15*w - 12]', '[5245, 5245, 2*w^3 + 5*w^2 - 22*w - 25]', '[5245, 5245, 6*w^3 - 5*w^2 - 32*w - 4]', '[5245, 5245, 6*w^3 - 7*w^2 - 28*w + 4]', '[5245, 5245, 7*w^3 - 12*w^2 - 23*w + 13]', '[5265, 195, 3*w^3 - 6*w^2 - 6*w + 9]', '[5265, 195, 6*w^3 - 9*w^2 - 24*w - 3]', '[5273, 5273, -5*w^3 + 9*w^2 + 20*w - 2]', '[5273, 5273, -w^3 + 5*w^2 - 4*w - 12]', '[5303, 5303, 5*w^3 - 11*w^2 - 17*w + 11]', '[5303, 5303, -2*w^3 + 8*w^2 - w - 12]', '[5323, 5323, -4*w^3 + 8*w^2 + 16*w - 1]', '[5323, 5323, 4*w^2 - 8*w - 15]', '[5341, 763, -8*w^3 + 15*w^2 + 27*w - 20]', '[5341, 763, 10*w^3 - 18*w^2 - 38*w + 13]', '[5341, 763, -2*w^3 + 5*w^2 + 2*w - 11]', '[5341, 763, 2*w^2 - 7*w - 12]', '[5341, 763, 2*w^3 - 7*w^2 - 7*w + 9]', '[5341, 763, 4*w^3 - 8*w^2 - 17*w + 13]', '[5341, 763, 5*w^3 - 8*w^2 - 20*w - 3]', '[5341, 763, 5*w^3 - 7*w^2 - 23*w - 7]', '[5341, 5341, 3*w^3 - 3*w^2 - 9*w + 8]', '[5341, 5341, 10*w^3 - 14*w^2 - 41*w + 14]', '[5341, 5341, 3*w^3 - 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20]', '[5407, 5407, -10*w^3 + 16*w^2 + 35*w - 12]', '[5417, 5417, -5*w^3 + 6*w^2 + 17*w]', '[5417, 5417, 7*w^3 - 8*w^2 - 29*w - 7]', '[5419, 5419, w^3 - 12*w - 3]', '[5419, 5419, -w^3 + w^2 + 5*w - 8]', '[5419, 5419, 6*w^3 - 7*w^2 - 30*w - 3]', '[5419, 5419, w - 9]', '[5427, 201, 6*w^3 - 12*w^2 - 21*w + 6]', '[5427, 201, -3*w^3 + 9*w^2 + 3*w - 15]', '[5443, 5443, 7*w^3 - 9*w^2 - 27*w + 2]', '[5443, 5443, 6*w^3 - 8*w^2 - 21*w - 5]', '[5459, 5459, 6*w^3 - 11*w^2 - 27*w + 13]', '[5459, 5459, -2*w^3 - 3*w^2 + 21*w + 8]', '[5459, 5459, 7*w^3 - 9*w^2 - 30*w + 8]', '[5459, 5459, -7*w^3 + 9*w^2 + 34*w + 3]', '[5465, 5465, -10*w^3 + 12*w^2 + 42*w + 11]', '[5465, 5465, 13*w^3 - 18*w^2 - 54*w + 4]', '[5477, 5477, -8*w^3 + 13*w^2 + 29*w - 1]', '[5477, 5477, -6*w^3 + 11*w^2 + 17*w - 10]', '[5485, 5485, -3*w^3 + 7*w^2 + 9*w - 18]', '[5485, 5485, 3*w^3 - w^2 - 21*w - 6]', '[5488, 14, -8*w^3 + 12*w^2 + 34*w - 2]', '[5488, 14, 2*w^3 - 6*w^2 + 2*w + 8]', '[5488, 98, 10*w^3 - 16*w^2 - 40*w + 8]', '[5488, 98, -4*w^3 + 10*w^2 + 4*w - 8]', '[5488, 686, 2*w^3 - 4*w^2 - 12*w + 8]', '[5488, 686, -4*w^3 + 2*w^2 + 24*w + 4]', '[5503, 5503, -5*w^3 + 10*w^2 + 12*w - 9]', '[5503, 5503, -8*w^3 + 13*w^2 + 30*w - 3]', '[5509, 5509, 3*w^3 - 11*w^2 - w + 7]', '[5509, 5509, 6*w^3 - 14*w^2 - 19*w + 24]', '[5509, 5509, -6*w^3 + 8*w^2 + 22*w - 1]', '[5509, 5509, -6*w^3 + 8*w^2 + 22*w + 3]', '[5515, 5515, 12*w^3 - 13*w^2 - 56*w - 8]', '[5515, 5515, 7*w^3 - 13*w^2 - 23*w + 19]', '[5545, 5545, 17*w^3 - 27*w^2 - 68*w + 18]', '[5545, 5545, 10*w^3 - 15*w^2 - 46*w + 16]', '[5545, 5545, 8*w^3 - 15*w^2 - 23*w]', '[5545, 5545, w^3 + 5*w^2 - 16*w - 20]', '[5552, 694, -2*w^3 + 4*w^2 + 2*w - 10]', '[5552, 694, 6*w^3 - 8*w^2 - 26*w - 8]', '[5561, 5561, -7*w^3 + 12*w^2 + 27*w - 5]', '[5561, 5561, -3*w^3 + 8*w^2 + 3*w - 10]', '[5561, 5561, -3*w^3 + 6*w^2 + 14*w - 11]', '[5561, 5561, 2*w^3 + w^2 - 16*w - 3]', '[5563, 5563, 3*w^3 - 4*w^2 - 8*w - 8]', '[5563, 5563, 6*w^3 - 7*w^2 - 26*w + 4]', '[5573, 5573, 7*w^3 - 8*w^2 - 29*w - 4]', '[5573, 5573, -3*w^3 + w^2 + 20*w]', '[5575, 1115, 7*w^3 - 10*w^2 - 26*w - 1]', '[5575, 1115, 5*w^3 - 12*w^2 - 12*w + 13]', '[5575, 1115, -3*w^3 - w^2 + 11*w + 3]', '[5575, 1115, w^3 + w^2 + w - 5]', '[5591, 5591, -5*w^3 + 3*w^2 + 27*w + 8]', '[5591, 5591, w^3 - w^2 - 7]', '[5591, 5591, 7*w^3 - 7*w^2 - 33*w - 4]', '[5591, 5591, 5*w^3 - 5*w^2 - 24*w + 1]', '[5603, 5603, -4*w^3 + 4*w^2 + 15*w + 12]', '[5603, 5603, w^3 + 2*w^2 - 15*w - 12]', '[5603, 5603, 2*w^3 + w^2 - 10*w]', '[5603, 5603, 4*w^3 - 7*w^2 - 20*w - 3]', '[5603, 5603, -3*w^3 + 16*w + 20]', '[5603, 5603, 3*w^3 - 22*w - 17]', '[5603, 5603, 5*w^3 - 5*w^2 - 21*w + 3]', '[5603, 5603, 7*w^3 - 10*w^2 - 33*w - 3]', '[5635, 805, 7*w^3 - 8*w^2 - 28*w - 1]', '[5635, 805, -8*w^3 + 11*w^2 + 31*w - 4]', '[5635, 805, 6*w^3 - 7*w^2 - 22*w - 7]', '[5635, 805, -6*w^3 + 9*w^2 + 19*w + 3]', '[5635, 5635, 6*w^3 - 8*w^2 - 21*w + 3]', '[5635, 5635, 7*w^3 - 9*w^2 - 27*w - 6]', '[5635, 5635, -w^3 - w^2 + 13*w + 4]', '[5635, 5635, -6*w^3 + 8*w^2 + 29*w - 1]', '[5648, 706, 6*w^3 - 10*w^2 - 24*w + 2]', '[5648, 706, -2*w^3 + 6*w^2 - 10]', '[5671, 5671, 6*w^3 - 7*w^2 - 30*w - 1]', '[5671, 5671, -6*w^3 + 9*w^2 + 20*w + 1]', '[5671, 5671, 7*w^3 - 10*w^2 - 26*w + 3]', '[5671, 5671, w^3 - 5*w - 13]', '[5675, 1135, 5*w^3 - 9*w^2 - 19*w + 1]', '[5675, 1135, w^3 - 3*w^2 + 3*w + 9]', '[5675, 1135, 2*w^3 - 3*w^2 + 6]', '[5675, 1135, 4*w^3 - 9*w^2 - 14*w + 2]', '[5677, 5677, -7*w^3 + 12*w^2 + 26*w - 4]', '[5677, 5677, -4*w^3 + 3*w^2 + 19*w + 1]', '[5677, 5677, -13*w^3 + 17*w^2 + 56*w - 4]', '[5677, 5677, -4*w^3 + 3*w^2 + 22*w]', '[5677, 5677, -w^3 + 2*w^2 + 8*w - 8]', '[5677, 5677, -5*w^3 + 9*w^2 + 8*w + 2]', '[5677, 5677, 19*w^3 - 29*w^2 - 77*w + 23]', '[5677, 5677, -2*w^3 + w^2 + 7*w + 10]', '[5683, 5683, 5*w^3 - 5*w^2 - 23*w + 1]', '[5683, 5683, 2*w^3 - 2*w^2 - 5*w - 8]', '[5689, 5689, 5*w^3 - 5*w^2 - 25*w + 2]', '[5689, 5689, -2*w^3 + 5*w^2 + 2*w - 13]', '[5689, 5689, 5*w - 7]', '[5689, 5689, 5*w^3 - 8*w^2 - 20*w - 5]', '[5693, 5693, -2*w^3 + 7*w^2 + 3*w - 12]', '[5693, 5693, -2*w^3 + 7*w^2 + 3*w - 9]', '[5717, 5717, w^2 + 3*w - 8]', '[5717, 5717, 4*w^3 - 3*w^2 - 21*w - 1]', '[5737, 5737, -6*w^3 + 12*w^2 + 16*w - 11]', '[5737, 5737, -8*w^3 + 14*w^2 + 28*w - 5]', '[5743, 5743, -2*w^3 + 5*w^2 + 2*w - 12]', '[5743, 5743, 5*w^3 - 8*w^2 - 20*w - 4]', '[5747, 5747, 7*w^3 - 11*w^2 - 32*w + 8]', '[5747, 5747, 2*w^3 - 7*w^2 - w - 2]', '[5747, 5747, 4*w^3 - 9*w^2 - 13*w + 21]', '[5747, 5747, 8*w^3 - 16*w^2 - 30*w + 19]', '[5747, 5747, -w^3 - 3*w^2 + 16*w + 6]', '[5747, 5747, -5*w^3 + 7*w^2 + 15*w - 1]', '[5747, 5747, -8*w^3 + 10*w^2 + 33*w + 4]', '[5747, 5747, 2*w^3 - 10*w^2 + 6*w + 11]', '[5755, 5755, 4*w^3 - 2*w^2 - 25*w - 2]', '[5755, 5755, -9*w^3 + 12*w^2 + 40*w - 8]', '[5755, 5755, -4*w^3 + 9*w^2 + 10*w - 15]', '[5755, 5755, w^3 - 6*w^2 + 5*w + 15]', '[5765, 5765, 10*w^3 - 13*w^2 - 46*w + 4]', '[5765, 5765, -w^2 + 4*w - 8]', '[5776, 38, 6*w^3 - 6*w^2 - 26*w - 18]', '[5776, 38, 4*w^3 - 4*w^2 - 14*w + 8]', '[5777, 5777, 2*w^3 - 17*w - 6]', '[5777, 5777, 5*w^3 - 7*w^2 - 25*w + 1]', '[5777, 5777, -w^3 + 4*w^2 - 3*w - 11]', '[5777, 5777, 8*w^3 - 10*w^2 - 33*w - 2]', '[5777, 5777, w^3 + 2*w^2 - 6*w - 15]', '[5777, 5777, 2*w^3 + w^2 - 12*w - 3]', '[5777, 5777, 5*w^3 - 8*w^2 - 21*w - 2]', '[5777, 5777, -5*w^3 + 7*w^2 + 15*w + 1]', '[5791, 5791, w^3 - w - 7]', '[5791, 5791, -3*w^3 + 7*w^2 + 5*w - 10]', '[5791, 5791, 5*w^3 - 4*w^2 - 25*w - 4]', '[5791, 5791, -6*w^3 + 10*w^2 + 23*w - 1]', '[5807, 5807, -w^3 + 6*w^2 - 2*w - 9]', '[5807, 5807, -2*w^3 + 7*w^2 + 4*w - 13]', '[5813, 5813, w^3 + w^2 - 13*w - 3]', '[5813, 5813, 6*w^3 - 8*w^2 - 29*w + 2]', '[5825, 1165, 5*w^3 - 11*w^2 - 16*w + 4]', '[5825, 1165, 3*w^3 - 5*w^2 - 4*w + 6]', '[5825, 1165, -2*w^3 + 5*w^2 + w - 9]', '[5825, 1165, -6*w^3 + 11*w^2 + 21*w - 3]', '[5845, 5845, -4*w^3 + 8*w^2 + 15*w + 1]', '[5845, 5845, 8*w^3 - 15*w^2 - 23*w - 5]', '[5845, 5845, -20*w^3 + 33*w^2 + 82*w - 30]', '[5845, 5845, 6*w^3 - 8*w^2 - 30*w + 7]', '[5849, 5849, 3*w^3 - 2*w^2 - 12*w - 12]', '[5849, 5849, 4*w^3 - 3*w^2 - 18*w]', '[5849, 5849, 6*w^3 - 6*w^2 - 29*w - 17]', '[5849, 5849, -7*w^3 + 13*w^2 + 23*w - 17]', '[5851, 5851, 5*w^3 - 6*w^2 - 17*w - 1]', '[5851, 5851, 3*w^3 - 5*w^2 - 12*w + 12]', '[5851, 5851, 7*w^3 - 8*w^2 - 29*w - 6]', '[5851, 5851, w^3 - 3*w^2 - 6]', '[5857, 5857, 7*w^3 - 8*w^2 - 31*w + 1]', '[5857, 5857, 3*w^3 - 4*w^2 - 7*w - 6]', '[5867, 5867, 4*w^3 - 4*w^2 - 23*w + 1]', '[5867, 5867, 3*w^3 - 3*w^2 - 19*w + 2]', '[5881, 5881, 2*w^3 + 2*w^2 - 18*w - 17]', '[5881, 5881, 6*w^3 - 11*w^2 - 26*w + 14]', '[5881, 5881, -6*w^3 + 7*w^2 + 21*w + 7]', '[5881, 5881, w^3 - 5*w^2 + 3*w + 17]', '[5887, 203, -9*w^3 + 14*w^2 + 37*w - 5]', '[5887, 203, 3*w^3 - 8*w^2 - w + 8]', '[5888, 92, -4*w^2 + 12*w + 4]', '[5888, 92, -8*w^3 + 12*w^2 + 36*w - 8]', '[5903, 5903, 6*w^3 - 11*w^2 - 22*w + 4]', '[5903, 5903, -3*w^3 + 8*w^2 + 4*w - 12]', '[5911, 5911, 8*w^3 - 13*w^2 - 27*w + 14]', '[5911, 5911, 4*w^3 - 9*w^2 - 5*w + 7]', '[5911, 5911, 10*w^3 - 15*w^2 - 41*w + 4]', '[5911, 5911, 8*w^3 - 13*w^2 - 27*w - 5]', '[5915, 455, w^3 + 4*w^2 - 12*w - 13]', '[5915, 455, -10*w^3 + 23*w^2 + 21*w - 14]', '[5915, 455, 16*w^3 - 29*w^2 - 57*w + 25]', '[5915, 455, 2*w^3 - 7*w^2 - 6*w + 11]', '[5915, 5915, 5*w^3 - 6*w^2 - 26*w - 3]', '[5915, 5915, 7*w^3 - 8*w^2 - 29*w - 5]', '[5915, 5915, -5*w^3 + 6*w^2 + 17*w + 2]', '[5915, 5915, -2*w^3 + w^2 + 16*w + 5]', '[5923, 5923, w^3 + 2*w^2 - 4*w - 11]', '[5923, 5923, 4*w^3 - w^2 - 22*w - 9]', '[5929, 77, 8*w^3 - 11*w^2 - 31*w - 3]', '[5929, 77, -w^3 + 6*w^2 - w - 8]', '[5929, 77, -w^3 + 6*w^2 - w - 15]', '[5929, 77, -4*w^3 + 10*w^2 + 11*w - 15]', '[5929, 539, -4*w^3 + 7*w^2 + 15*w - 14]', '[5929, 539, 5*w^3 - 5*w^2 - 27*w - 2]', '[5929, 539, -w^3 + 3*w^2 + 3*w - 14]', '[5929, 539, 5*w^3 - 3*w^2 - 30*w - 8]', '[5936, 742, -6*w^3 + 8*w^2 + 18*w + 8]', '[5936, 742, -2*w^3 + 6*w + 8]', '[5936, 742, -6*w^3 + 4*w^2 + 30*w + 10]', '[5936, 742, -10*w^3 + 12*w^2 + 42*w - 2]', '[5939, 5939, -10*w^3 + 14*w^2 + 43*w - 11]', '[5939, 5939, 7*w^3 - 11*w^2 - 24*w + 2]', '[5939, 5939, -9*w^3 + 15*w^2 + 30*w - 14]', '[5939, 5939, -7*w^3 + 11*w^2 + 24*w - 4]', '[5941, 5941, w^3 + 4*w^2 - 15*w - 7]', '[5941, 5941, -4*w^3 + 8*w^2 + 16*w + 7]', '[5941, 5941, 5*w^3 - 3*w^2 - 28*w - 7]', '[5941, 5941, -4*w^3 + 5*w^2 + 20*w + 12]', '[5965, 5965, 9*w^3 - 17*w^2 - 29*w + 17]', '[5965, 5965, 6*w^3 - 14*w^2 - 14*w + 17]', '[5968, 746, -6*w^3 + 8*w^2 + 22*w + 2]', '[5968, 746, -6*w^3 + 8*w^2 + 22*w]', '[5981, 5981, -7*w^3 + 10*w^2 + 25*w - 5]', '[5981, 5981, 8*w^3 - 10*w^2 - 33*w - 3]', '[5981, 5981, -7*w^3 + 10*w^2 + 25*w + 4]', '[5981, 5981, 5*w^3 - 7*w^2 - 15*w]', '[5987, 5987, -2*w^3 + 6*w^2 + 7*w - 15]', '[5987, 5987, w^3 + 3*w^2 - 11*w - 4]', '[5999, 5999, -2*w^3 + 7*w^2 + 3*w - 10]', '[5999, 5999, w^3 - w^2 - 4*w - 10]', '[5999, 5999, -w^3 + w^2 + 4*w - 8]', '[5999, 5999, -2*w^3 + 7*w^2 + 3*w - 11]', '[6007, 6007, -4*w^3 + 2*w^2 + 23*w + 5]', '[6007, 6007, w^3 - 3*w^2 - 7*w + 8]', '[6019, 6019, -2*w^3 - 2*w^2 + 15*w + 7]', '[6019, 6019, -5*w^3 + 3*w^2 + 26*w + 8]', '[6019, 6019, -w^3 - w^2 + 2*w + 8]', '[6019, 6019, w^3 - 5*w^2 - 3*w + 14]', '[6037, 6037, -4*w^3 + 8*w^2 + 9*w - 9]', '[6037, 6037, -7*w^3 + 11*w^2 + 27*w]', '[6041, 6041, 3*w^3 - 7*w^2 - 12*w + 14]', '[6041, 6041, -5*w^2 + 9*w + 4]', '[6041, 6041, 4*w^3 - 9*w^2 - 15*w + 17]', '[6041, 6041, -w^3 - 3*w^2 + 12*w + 4]', '[6055, 6055, 5*w^3 - 5*w^2 - 22*w + 2]', '[6055, 6055, -3*w^3 + 7*w^2 + 13*w - 12]', '[6055, 6055, -2*w^3 - 2*w^2 + 17*w + 7]', '[6055, 6055, -3*w^3 + 3*w^2 + 10*w + 10]', '[6065, 6065, 7*w^3 - 12*w^2 - 21*w + 1]', '[6065, 6065, w^3 + 3*w^2 - 7*w - 17]', '[6067, 6067, -3*w^3 + 7*w^2 + 6*w - 13]', '[6067, 6067, -5*w^3 + 9*w^2 + 18*w + 1]', '[6085, 6085, -10*w^3 + 17*w^2 + 37*w - 9]', '[6085, 6085, 10*w^3 - 16*w^2 - 37*w + 3]', '[6091, 6091, 7*w^3 - 11*w^2 - 29*w + 2]', '[6091, 6091, -4*w^3 + 7*w^2 + 10*w - 9]', '[6091, 6091, -2*w^3 + 6*w^2 - w - 9]', '[6091, 6091, -7*w^3 + 10*w^2 + 28*w + 5]', '[6095, 6095, 4*w^3 - 31*w - 18]', '[6095, 6095, 4*w^3 - 4*w^2 - 25*w - 10]', '[6095, 6095, 5*w^3 - 5*w^2 - 29*w - 11]', '[6095, 6095, 7*w^3 - 11*w^2 - 35*w - 1]', '[6097, 6097, 3*w^3 - 4*w^2 - 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4*w^2 - 25*w - 2]', '[9913, 9913, w^3 - w - 9]', '[9919, 9919, -7*w^3 + 7*w^2 + 27*w + 10]', '[9919, 9919, 3*w^3 - 10*w - 10]', '[9919, 9919, -w^3 + w^2 + 9*w + 12]', '[9919, 9919, -3*w^3 + 4*w^2 + 19*w - 2]', '[9919, 9919, 5*w^3 - 10*w^2 - 26*w]', '[9919, 9919, -4*w^3 + 4*w^2 + 21*w + 15]', '[9919, 9919, 9*w^3 - 18*w^2 - 35*w + 18]', '[9919, 9919, -8*w^3 + 8*w^2 + 33*w + 5]', '[9919, 9919, -w^3 + w^2 - 5*w - 9]', '[9919, 9919, -4*w^3 + w^2 + 29*w + 15]', '[9919, 9919, -7*w^3 + 10*w^2 + 23*w - 5]', '[9919, 9919, 7*w^3 - 5*w^2 - 25*w + 1]', '[9919, 9919, -2*w^3 - 3*w^2 + 13*w + 14]', '[9919, 9919, -2*w^3 - 3*w^2 + 13*w + 15]', '[9919, 9919, 11*w^3 - 16*w^2 - 41*w + 19]', '[9919, 9919, -6*w^3 + 9*w^2 + 31*w + 2]', '[9923, 9923, -3*w^3 + 7*w^2 + 14*w - 12]', '[9923, 9923, -3*w^3 - w^2 + 22*w + 8]', '[9925, 1985, 8*w^3 - 13*w^2 - 33*w + 4]', '[9925, 1985, 2*w^3 - 5*w^2 - w + 14]', '[9925, 1985, -6*w^3 + 9*w^2 + 25*w + 7]', '[9925, 1985, -2*w^3 + 7*w^2 - 3*w - 11]', '[9931, 9931, 8*w^3 - 10*w^2 - 33*w + 9]', '[9931, 9931, -8*w^3 + 17*w^2 + 27*w - 13]', '[9931, 9931, -4*w^3 + 13*w^2 + 3*w - 20]', '[9931, 9931, 9*w^3 - 10*w^2 - 45*w - 10]', '[9967, 9967, -4*w^3 + 5*w^2 + 23*w + 3]', '[9967, 9967, -4*w^3 + 3*w^2 + 25*w + 8]', '[9983, 9983, 6*w^2 - 8*w - 11]', '[9983, 9983, -2*w^3 + 5*w^2 + 9*w - 15]', '[9983, 9983, -2*w^3 + 8*w^2 + 4*w - 17]', '[9983, 9983, -9*w^3 + 17*w^2 + 30*w - 22]', '[9983, 9983, 11*w^3 - 12*w^2 - 48*w - 7]', '[9983, 9983, -5*w^3 + 13*w^2 + 10*w - 21]', '[9983, 9983, 8*w^3 - 8*w^2 - 41*w - 10]', '[9983, 9983, -2*w^3 - w^2 + 15*w]', '[9985, 9985, -3*w^3 + 8*w^2 + 4*w - 14]', '[9985, 9985, -2*w^3 + 8*w^2 - w - 20]', '[9989, 9989, 13*w^3 - 20*w^2 - 56*w + 16]', '[9989, 9989, 7*w^3 - 12*w^2 - 28*w + 20]', '[9989, 9989, 2*w^3 - 7*w^2 + 2*w - 4]', '[9989, 9989, 2*w^3 - 9*w^2 + 10*w + 4]', '[10000, 10, 10]', '[10000, 50, 4*w^3 - 4*w^2 - 24*w - 6]', '[10000, 50, 4*w^3 - 4*w^2 - 24*w + 2]'], 'label': '4.4.4205.1', 'narrow_class_no': 1, 'primes': ['[5, 5, -w^3 + w^2 + 5*w]', '[7, 7, -w^3 + 2*w^2 + 3*w - 3]', '[7, 7, w^3 - 2*w^2 - 3*w]', '[13, 13, -w^2 + w + 3]', '[13, 13, -w^2 + w + 2]', '[16, 2, 2]', '[23, 23, -w^2 + 3*w + 1]', '[23, 23, -2*w^3 + 3*w^2 + 9*w - 2]', '[25, 5, w^3 - 2*w^2 - 2*w + 2]', '[49, 7, w^3 - w^2 - 6*w - 1]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 3]', '[53, 53, 2*w^3 - 2*w^2 - 8*w - 1]', '[67, 67, 2*w^3 - 4*w^2 - 7*w + 2]', '[67, 67, -2*w^3 + 4*w^2 + 6*w - 1]', '[81, 3, -3]', '[83, 83, 2*w^3 - 3*w^2 - 6*w - 1]', '[83, 83, 3*w^3 - 4*w^2 - 12*w + 1]', '[103, 103, 3*w^3 - 4*w^2 - 12*w - 1]', '[103, 103, 2*w^3 - 3*w^2 - 6*w + 1]', '[107, 107, w^3 - w^2 - 3*w - 3]', '[107, 107, 2*w^3 - 2*w^2 - 9*w]', '[109, 109, -3*w^3 + 5*w^2 + 10*w - 5]', '[109, 109, -2*w^3 + 3*w^2 + 9*w + 1]', '[109, 109, -2*w^3 + 2*w^2 + 7*w]', '[109, 109, w^2 - 3*w - 4]', '[121, 11, 3*w^3 - 4*w^2 - 12*w]', '[121, 11, 2*w^2 - 3*w - 6]', '[139, 139, w^3 - 7*w - 1]', '[139, 139, -w^3 + 2*w^2 + 5*w - 4]', '[139, 139, 3*w^3 - 3*w^2 - 14*w - 2]', '[139, 139, -3*w^3 + 5*w^2 + 13*w - 2]', '[149, 149, -w^2 + 4*w + 1]', '[149, 149, -3*w^3 + 4*w^2 + 14*w - 1]', '[149, 149, 2*w^2 - 3*w - 5]', '[149, 149, -w^3 + 3*w^2 + 3*w - 4]', '[167, 167, -w^3 - w^2 + 7*w + 4]', '[167, 167, -4*w^3 + 6*w^2 + 15*w - 4]', '[169, 13, w^3 - w^2 - 6*w + 4]', '[173, 173, w^2 - 3*w - 5]', '[173, 173, 2*w^3 - 2*w^2 - 11*w]', '[179, 179, 2*w^3 - 2*w^2 - 9*w + 1]', '[179, 179, w^3 - w^2 - 3*w - 4]', '[179, 179, w^2 - 5]', '[179, 179, w^3 - 6*w - 1]', '[197, 197, w^3 + w^2 - 7*w - 6]', '[197, 197, 2*w^3 - 2*w^2 - 9*w + 2]', '[223, 223, -w^2 + 7]', '[223, 223, 2*w^2 - w - 4]', '[227, 227, 2*w^3 - 2*w^2 - 11*w - 2]', '[227, 227, w^3 - w^2 - 7*w - 1]', '[233, 233, w^3 - w^2 - 7*w]', '[233, 233, -2*w^3 + 2*w^2 + 11*w + 1]', '[257, 257, -2*w^3 + 4*w^2 + 8*w - 1]', '[257, 257, 2*w^2 - 4*w - 7]', '[277, 277, -4*w^3 + 6*w^2 + 15*w - 3]', '[277, 277, -3*w^3 + 5*w^2 + 9*w]', '[281, 281, -2*w^3 + 5*w^2 + 3*w - 5]', '[281, 281, -2*w^3 + 5*w^2 + 5*w - 7]', '[281, 281, 2*w^3 - 5*w^2 - 5*w + 4]', '[281, 281, -4*w^3 + 7*w^2 + 15*w - 4]', '[283, 283, 3*w^3 - 4*w^2 - 13*w - 3]', '[283, 283, -w^3 + 2*w^2 + w - 4]', '[313, 313, -2*w^3 + 4*w^2 + 5*w - 5]', '[313, 313, 3*w^3 - 5*w^2 - 11*w]', '[347, 347, -w^3 + 2*w^2 + w - 5]', '[347, 347, 3*w^3 - 4*w^2 - 13*w - 4]', '[353, 353, 3*w^3 - 5*w^2 - 12*w + 1]', '[353, 353, -w^3 + 3*w^2 - 5]', '[361, 19, 3*w^3 - 3*w^2 - 13*w - 9]', '[361, 19, 2*w^3 - 2*w^2 - 7*w + 4]', '[373, 373, -3*w^3 + 4*w^2 + 11*w + 1]', '[373, 373, -3*w^3 + 4*w^2 + 11*w]', '[383, 383, 3*w^3 - 5*w^2 - 13*w + 1]', '[383, 383, 2*w^2 - 5*w - 6]', '[397, 397, 4*w^3 - 5*w^2 - 19*w - 1]', '[397, 397, 2*w^3 - 2*w^2 - 9*w - 7]', '[431, 431, 2*w^3 - 2*w^2 - 7*w - 5]', '[431, 431, 3*w^3 - 6*w^2 - 11*w + 3]', '[431, 431, 3*w^3 - 3*w^2 - 13*w]', '[431, 431, w^3 - 4*w^2 + w + 8]', '[457, 457, 4*w^3 - 7*w^2 - 13*w]', '[457, 457, -3*w^2 + 4*w + 5]', '[463, 463, -3*w^3 + 5*w^2 + 11*w + 1]', '[463, 463, 2*w^3 - 4*w^2 - 5*w + 6]', '[487, 487, -w^3 + 4*w^2 - 7]', '[487, 487, -2*w^3 + 5*w^2 + 6*w - 5]', '[499, 499, -6*w^3 + 8*w^2 + 25*w - 1]', '[499, 499, -w^3 + 4*w^2 - 5]', '[499, 499, -2*w^3 + 5*w^2 + 6*w - 7]', '[499, 499, 3*w^3 - 5*w^2 - 7*w]', '[509, 509, -4*w^3 + 8*w^2 + 15*w - 8]', '[509, 509, 3*w^3 - 4*w^2 - 10*w - 2]', '[509, 509, -3*w^3 + 3*w^2 + 11*w + 6]', '[509, 509, 4*w^3 - 5*w^2 - 16*w]', '[521, 521, -4*w^3 + 5*w^2 + 15*w - 2]', '[521, 521, w^3 - w^2 - 8*w + 1]', '[521, 521, -4*w^3 + 7*w^2 + 12*w - 6]', '[521, 521, 3*w^3 - 3*w^2 - 16*w - 1]', '[523, 523, 3*w^3 - w^2 - 17*w - 8]', '[523, 523, -5*w^3 + 5*w^2 + 23*w + 4]', '[529, 23, 3*w^3 - 6*w^2 - 10*w + 2]', '[547, 547, -2*w^3 + 5*w^2 + 6*w - 6]', '[547, 547, -w^3 + 4*w^2 - 6]', '[557, 557, -3*w^3 + 6*w^2 + 9*w - 10]', '[557, 557, 3*w^3 - 6*w^2 - 9*w - 1]', '[571, 571, 4*w^3 - 4*w^2 - 17*w - 6]', '[571, 571, -2*w^3 + 6*w^2 + 3*w - 10]', '[571, 571, 4*w^3 - 5*w^2 - 18*w + 3]', '[571, 571, -3*w^3 + 7*w^2 + 9*w - 5]', '[587, 587, 3*w^3 - 3*w^2 - 14*w]', '[587, 587, w^3 - w^2 - 2*w - 4]', '[593, 593, -w^3 + 3*w^2 + 2*w - 10]', '[593, 593, -5*w^3 + 7*w^2 + 19*w - 4]', '[613, 613, 3*w^3 - 5*w^2 - 12*w - 4]', '[613, 613, -w^3 + 3*w^2 - 10]', '[631, 631, 4*w^3 - 8*w^2 - 13*w + 4]', '[631, 631, 3*w^3 - 4*w^2 - 15*w + 2]', '[631, 631, w^3 - 9*w - 1]', '[631, 631, 3*w^3 - 7*w^2 - 7*w + 9]', '[643, 643, 3*w^3 - 3*w^2 - 16*w - 2]', '[643, 643, w^3 - w^2 - 8*w]', '[647, 647, -w^3 + 4*w^2 + 2*w - 4]', '[647, 647, -3*w^2 + 4*w + 10]', '[673, 673, w^3 + 2*w^2 - 9*w - 8]', '[673, 673, -w^3 + 4*w^2 + 3*w - 7]', '[683, 683, 3*w^3 - 3*w^2 - 11*w - 2]', '[683, 683, 4*w^3 - 4*w^2 - 17*w - 5]', '[709, 709, -5*w^3 + 7*w^2 + 21*w + 1]', '[709, 709, -3*w^3 + 2*w^2 + 16*w + 4]', '[709, 709, 4*w^3 - 4*w^2 - 19*w - 2]', '[709, 709, -2*w^3 + 4*w^2 + 3*w - 4]', '[787, 787, 2*w^2 - w - 9]', '[787, 787, w^3 + w^2 - 7*w - 2]', '[811, 811, 4*w^3 - 7*w^2 - 11*w]', '[811, 811, 3*w^3 - 4*w^2 - 9*w - 1]', '[811, 811, -6*w^3 + 9*w^2 + 23*w - 5]', '[811, 811, 5*w^3 - 6*w^2 - 21*w - 2]', '[821, 821, -3*w^3 + 6*w^2 + 11*w - 2]', '[821, 821, 2*w^3 - 13*w - 5]', '[821, 821, -w^3 + 4*w^2 - w - 9]', '[821, 821, -w^3 + 3*w^2 + 5*w - 6]', '[841, 29, 2*w^3 - 2*w^2 - 12*w - 1]', '[857, 857, w^3 - 4*w^2 + 3*w + 6]', '[857, 857, -5*w^3 + 8*w^2 + 21*w - 3]', '[863, 863, -w^3 + 4*w^2 + w - 7]', '[863, 863, -w^3 + 4*w^2 + w - 6]', '[877, 877, -w^3 - w^2 + 8*w + 2]', '[877, 877, -w^3 + 3*w^2 + 4*w - 8]', '[883, 883, 4*w^3 - 7*w^2 - 14*w + 1]', '[883, 883, 3*w^3 - 6*w^2 - 8*w + 7]', '[929, 929, 3*w^3 - 5*w^2 - 12*w - 3]', '[929, 929, -w^3 + 3*w^2 - 9]', '[929, 929, 3*w - 5]', '[929, 929, 3*w^3 - 3*w^2 - 15*w + 2]', '[937, 937, w^3 - 2*w^2 - 6*w + 6]', '[937, 937, 2*w^3 - w^2 - 12*w]', '[941, 941, -w^3 + 4*w^2 + 2*w - 7]', '[941, 941, -4*w^3 + 6*w^2 + 13*w - 3]', '[941, 941, -5*w^3 + 7*w^2 + 19*w + 2]', '[941, 941, 3*w^2 - 4*w - 7]', '[953, 953, 3*w^3 - 5*w^2 - 12*w - 2]', '[953, 953, -w^3 + 3*w^2 - 8]', '[961, 31, 4*w^3 - 6*w^2 - 13*w - 2]', '[961, 31, 5*w^3 - 7*w^2 - 19*w + 3]', '[977, 977, -4*w^3 + 7*w^2 + 19*w - 6]', '[977, 977, -3*w^3 + 7*w^2 + 10*w - 6]']}
75. label: 4.4.4225.1
    {'degree': 4, 'discriminant': 4225, 'ideals': ['[1, 1, 1]', '[4, 2, w]', '[4, 2, -1/2*w^3 + 9/2*w]', '[9, 3, 1/4*w^3 - 11/4*w - 1/2]', '[9, 3, 1/4*w^3 - 11/4*w + 1/2]', '[16, 2, 2]', '[16, 4, -1/4*w^3 + 1/2*w^2 + 5/4*w - 5/2]', '[16, 4, w - 2]', '[25, 5, 1/2*w^3 - 7/2*w]', '[29, 29, -1/4*w^3 + 1/2*w^2 + 9/4*w - 1/2]', '[29, 29, -1/2*w^2 - 1/2*w + 4]', '[29, 29, -1/2*w^2 + 1/2*w + 4]', '[29, 29, -1/4*w^3 - 1/2*w^2 + 9/4*w + 1/2]', '[36, 6, -1/2*w^2 - 1/2*w + 5]', '[36, 6, -w^3 - 1/2*w^2 + 17/2*w + 3]', '[36, 6, 1/4*w^3 - 1/2*w^2 - 1/4*w + 3/2]', '[36, 6, -1/4*w^3 - 1/2*w^2 + 1/4*w + 3/2]', '[49, 7, 3/4*w^3 + 1/2*w^2 - 23/4*w - 3/2]', '[49, 7, 1/2*w^3 + 1/2*w^2 - 3*w - 3]', '[61, 61, 1/2*w^3 + 1/2*w^2 - 5*w - 1]', '[61, 61, -1/4*w^3 - 1/2*w^2 + 13/4*w + 7/2]', '[61, 61, -1/4*w^3 + 1/2*w^2 + 13/4*w - 7/2]', '[61, 61, -1/2*w^3 + 1/2*w^2 + 5*w - 1]', '[64, 4, 2*w]', '[64, 4, -w^3 + 9*w]', '[64, 8, -w^3 + 8*w]', '[64, 8, -1/2*w^3 + 5/2*w]', '[79, 79, 3/4*w^3 - 25/4*w - 9/2]', '[79, 79, -1/4*w^3 + 1/2*w^2 - 3/4*w - 3/2]', '[79, 79, 1/4*w^3 - 3/4*w - 9/2]', '[79, 79, 3/2*w^3 + 1/2*w^2 - 13*w - 3]', '[81, 3, 3]', '[81, 9, 1/4*w^3 - 11/4*w + 7/2]', '[81, 9, -1/4*w^3 + 11/4*w + 7/2]', '[100, 10, w^2 - 2]', '[100, 10, w^2 - 7]', '[101, 101, 1/4*w^3 + w^2 - 7/4*w - 5/2]', '[101, 101, 5/4*w^3 - 1/2*w^2 - 45/4*w + 9/2]', '[101, 101, 1/4*w^3 + w^2 - 7/4*w - 13/2]', '[101, 101, 1/4*w^3 - w^2 - 7/4*w + 5/2]', '[116, 58, w^3 + 1/2*w^2 - 15/2*w - 3]', '[116, 58, -1/2*w^3 - 1/2*w^2 + 4*w]', '[116, 58, 3/4*w^3 + 1/2*w^2 - 19/4*w - 3/2]', '[116, 58, -1/4*w^3 - 1/2*w^2 + 5/4*w + 9/2]', '[116, 58, 1/4*w^3 - 1/2*w^2 - 5/4*w + 9/2]', '[116, 58, 3/4*w^3 - 1/2*w^2 - 19/4*w + 3/2]', '[116, 58, -1/2*w^3 + 1/2*w^2 + 4*w]', '[116, 58, w^3 - 1/2*w^2 - 15/2*w + 3]', '[121, 11, 3/4*w^3 - 21/4*w - 1/2]', '[121, 11, 1/4*w^3 - 7/4*w - 7/2]', '[131, 131, -3/4*w^3 + 29/4*w - 1/2]', '[131, 131, 1/4*w^3 - 15/4*w - 1/2]', '[131, 131, 1/4*w^3 - 15/4*w + 1/2]', '[131, 131, 3/4*w^3 - 29/4*w - 1/2]', '[139, 139, w^2 + w + 1]', '[139, 139, 1/2*w^3 + w^2 - 9/2*w - 10]', '[139, 139, 1/2*w^3 - w^2 - 9/2*w + 10]', '[139, 139, w^2 - w + 1]', '[144, 6, 1/2*w^3 - 11/2*w - 1]', '[144, 6, 1/2*w^3 - 11/2*w + 1]', '[144, 12, -1/2*w^3 - 1/2*w^2 + 5*w]', '[144, 12, -3/4*w^3 - 1/2*w^2 + 23/4*w + 1/2]', '[144, 12, -1/2*w^3 + 1/2*w^2 + 5*w]', '[144, 12, 1/4*w^3 - 1/2*w^2 - 13/4*w + 9/2]', '[169, 13, 1/2*w^3 - 11/2*w]', '[179, 179, -3/4*w^3 + w^2 + 21/4*w - 13/2]', '[179, 179, 1/2*w^3 + 1/2*w^2 - 6*w - 5]', '[179, 179, -3/4*w^3 - w^2 + 25/4*w + 7/2]', '[179, 179, -3/2*w^2 + 1/2*w + 2]', '[181, 181, -1/2*w^2 + 1/2*w - 2]', '[181, 181, 1/4*w^3 - 1/2*w^2 - 9/4*w + 13/2]', '[181, 181, 5/4*w^3 - 39/4*w + 3/2]', '[181, 181, 1/2*w^2 + 1/2*w + 2]', '[191, 191, -w^3 + 1/2*w^2 + 19/2*w - 4]', '[191, 191, 1/4*w^3 + 1/2*w^2 - 17/4*w - 1/2]', '[191, 191, 1/2*w^3 + 1/2*w^2 - 6*w - 3]', '[191, 191, -3/4*w^3 + 1/2*w^2 + 31/4*w - 3/2]', '[196, 14, 1/2*w^3 + w^2 - 3/2*w - 3]', '[196, 14, 1/2*w^3 + 3/2*w^2 - 3*w - 2]', '[196, 14, 3/4*w^3 + 3/2*w^2 - 23/4*w - 23/2]', '[196, 14, 3/2*w^3 + w^2 - 25/2*w - 6]', '[199, 199, 1/4*w^3 + 1/2*w^2 - 5/4*w - 15/2]', '[199, 199, -1/4*w^3 + w^2 + 11/4*w - 17/2]', '[199, 199, 1/2*w^3 + 1/2*w^2 - 4*w + 3]', '[199, 199, -1/4*w^3 - w^2 + 11/4*w + 1/2]', '[211, 211, -3/4*w^3 + 1/2*w^2 + 19/4*w - 9/2]', '[211, 211, -w^3 - 1/2*w^2 + 15/2*w]', '[211, 211, -1/4*w^3 + 1/2*w^2 + 13/4*w - 11/2]', '[211, 211, 3/4*w^3 + 1/2*w^2 - 19/4*w - 9/2]', '[225, 15, -1/4*w^3 - w^2 + 7/4*w + 9/2]', '[225, 15, 1/4*w^3 - w^2 - 7/4*w + 9/2]', '[244, 122, 1/2*w^3 - 1/2*w^2 - w - 2]', '[244, 122, -1/2*w^3 + w^2 + 7/2*w + 1]', '[244, 122, 7/4*w^3 - 1/2*w^2 - 59/4*w + 13/2]', '[244, 122, 1/2*w^3 - w^2 - 7/2*w + 10]', '[244, 122, 1/2*w^3 + w^2 - 7/2*w - 10]', '[244, 122, -7/4*w^3 - 1/2*w^2 + 59/4*w + 13/2]', '[244, 122, 1/2*w^3 + w^2 - 7/2*w + 1]', '[244, 122, 1/2*w^3 + 1/2*w^2 - w + 2]', '[251, 251, 3/4*w^3 - 1/2*w^2 - 27/4*w + 1/2]', '[251, 251, 1/2*w^2 - 3/2*w - 4]', '[251, 251, 1/2*w^2 + 3/2*w - 4]', '[251, 251, -3/4*w^3 - 1/2*w^2 + 27/4*w + 1/2]', '[256, 4, 4]', '[256, 8, -1/2*w^3 + w^2 + 5/2*w - 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3*w^2 + 53/4*w + 31/2]', '[9829, 9829, -5/2*w^3 + 1/2*w^2 + 20*w + 5]', '[9829, 9829, -5/4*w^3 + 1/2*w^2 + 25/4*w - 19/2]', '[9829, 9829, 5/4*w^3 + 1/2*w^2 - 25/4*w - 19/2]', '[9829, 9829, 5/2*w^3 + 1/2*w^2 - 20*w + 5]', '[9851, 9851, -2*w^2 - 2*w + 19]', '[9851, 9851, 2*w^3 - 5/2*w^2 - 35/2*w + 26]', '[9851, 9851, 2*w^3 + 5/2*w^2 - 35/2*w - 26]', '[9851, 9851, 2*w^2 - 2*w - 19]', '[9871, 9871, 7/2*w^2 - 3/2*w - 6]', '[9871, 9871, 3/4*w^3 + 7/2*w^2 - 27/4*w - 51/2]', '[9871, 9871, -7/4*w^3 - 3*w^2 + 45/4*w + 11/2]', '[9871, 9871, -9/4*w^3 + 3*w^2 + 67/4*w - 43/2]', '[9929, 9929, -3*w^3 + 2*w^2 + 29*w - 9]', '[9929, 9929, 17/4*w^3 - 147/4*w - 9/2]', '[9929, 9929, -17/4*w^3 + 147/4*w - 9/2]', '[9929, 9929, 3*w^3 + 2*w^2 - 29*w - 9]', '[9931, 9931, -7/4*w^3 + w^2 + 57/4*w + 9/2]', '[9931, 9931, -3/4*w^3 + w^2 + 13/4*w - 27/2]', '[9931, 9931, -5/2*w^3 + 3/2*w^2 + 21*w - 5]', '[9931, 9931, -7/4*w^3 - w^2 + 57/4*w - 9/2]', '[9941, 9941, -5/4*w^3 + w^2 + 59/4*w - 7/2]', '[9941, 9941, -7/4*w^3 - w^2 + 73/4*w + 11/2]', '[9941, 9941, 5/2*w^2 - 1/2*w - 12]', '[9941, 9941, -5/4*w^3 - w^2 + 59/4*w + 7/2]', '[9949, 9949, 3/2*w^2 + 5/2*w - 16]', '[9949, 9949, -5/4*w^3 + 3/2*w^2 + 45/4*w + 5/2]', '[9949, 9949, -5/4*w^3 - 3/2*w^2 + 45/4*w - 5/2]', '[9949, 9949, 3/2*w^2 - 5/2*w - 16]', '[9981, 3327, -9/4*w^3 - w^2 + 59/4*w + 11/2]', '[9981, 3327, -2*w^3 + 1/2*w^2 + 25/2*w]', '[9981, 3327, -11/4*w^3 - 1/2*w^2 + 83/4*w + 9/2]', '[9981, 3327, -11/4*w^3 + w^2 + 81/4*w - 7/2]', '[9981, 3327, 7/4*w^3 + w^2 - 61/4*w - 33/2]', '[9981, 3327, 1/2*w^3 + 1/2*w^2 - 3*w - 13]', '[9981, 3327, -1/4*w^3 + w^2 - 5/4*w + 15/2]', '[9981, 3327, -3/4*w^3 + 1/2*w^2 + 23/4*w + 17/2]', '[10000, 10, 10]', '[10000, 20, -5/4*w^3 + 5/2*w^2 + 25/4*w - 25/2]', '[10000, 20, 5*w - 10]'], 'label': '4.4.4225.1', 'narrow_class_no': 1, 'primes': ['[4, 2, w]', '[4, 2, -1/2*w^3 + 9/2*w]', '[9, 3, 1/4*w^3 - 11/4*w - 1/2]', '[9, 3, 1/4*w^3 - 11/4*w + 1/2]', '[25, 5, 1/2*w^3 - 7/2*w]', '[29, 29, -1/4*w^3 + 1/2*w^2 + 9/4*w - 1/2]', '[29, 29, -1/2*w^2 - 1/2*w + 4]', '[29, 29, -1/2*w^2 + 1/2*w + 4]', '[29, 29, -1/4*w^3 - 1/2*w^2 + 9/4*w + 1/2]', '[49, 7, 3/4*w^3 + 1/2*w^2 - 23/4*w - 3/2]', '[49, 7, 1/2*w^3 + 1/2*w^2 - 3*w - 3]', '[61, 61, 1/2*w^3 + 1/2*w^2 - 5*w - 1]', '[61, 61, -1/4*w^3 - 1/2*w^2 + 13/4*w + 7/2]', '[61, 61, -1/4*w^3 + 1/2*w^2 + 13/4*w - 7/2]', '[61, 61, -1/2*w^3 + 1/2*w^2 + 5*w - 1]', '[79, 79, 3/4*w^3 - 25/4*w - 9/2]', '[79, 79, -1/4*w^3 + 1/2*w^2 - 3/4*w - 3/2]', '[79, 79, 1/4*w^3 - 3/4*w - 9/2]', '[79, 79, 3/2*w^3 + 1/2*w^2 - 13*w - 3]', '[101, 101, 1/4*w^3 + w^2 - 7/4*w - 5/2]', '[101, 101, 5/4*w^3 - 1/2*w^2 - 45/4*w + 9/2]', '[101, 101, 1/4*w^3 + w^2 - 7/4*w - 13/2]', '[101, 101, 1/4*w^3 - w^2 - 7/4*w + 5/2]', '[121, 11, 3/4*w^3 - 21/4*w - 1/2]', '[121, 11, 1/4*w^3 - 7/4*w - 7/2]', '[131, 131, -3/4*w^3 + 29/4*w - 1/2]', '[131, 131, 1/4*w^3 - 15/4*w - 1/2]', '[131, 131, 1/4*w^3 - 15/4*w + 1/2]', '[131, 131, 3/4*w^3 - 29/4*w - 1/2]', '[139, 139, w^2 + w + 1]', '[139, 139, 1/2*w^3 + w^2 - 9/2*w - 10]', '[139, 139, 1/2*w^3 - w^2 - 9/2*w + 10]', '[139, 139, w^2 - w + 1]', '[169, 13, 1/2*w^3 - 11/2*w]', '[179, 179, -3/4*w^3 + w^2 + 21/4*w - 13/2]', '[179, 179, 1/2*w^3 + 1/2*w^2 - 6*w - 5]', '[179, 179, -3/4*w^3 - w^2 + 25/4*w + 7/2]', '[179, 179, -3/2*w^2 + 1/2*w + 2]', '[181, 181, -1/2*w^2 + 1/2*w - 2]', '[181, 181, 1/4*w^3 - 1/2*w^2 - 9/4*w + 13/2]', '[181, 181, 5/4*w^3 - 39/4*w + 3/2]', '[181, 181, 1/2*w^2 + 1/2*w + 2]', '[191, 191, -w^3 + 1/2*w^2 + 19/2*w - 4]', '[191, 191, 1/4*w^3 + 1/2*w^2 - 17/4*w - 1/2]', '[191, 191, 1/2*w^3 + 1/2*w^2 - 6*w - 3]', '[191, 191, -3/4*w^3 + 1/2*w^2 + 31/4*w - 3/2]', '[199, 199, 1/4*w^3 + 1/2*w^2 - 5/4*w - 15/2]', '[199, 199, -1/4*w^3 + w^2 + 11/4*w - 17/2]', '[199, 199, 1/2*w^3 + 1/2*w^2 - 4*w + 3]', '[199, 199, -1/4*w^3 - w^2 + 11/4*w + 1/2]', '[211, 211, -3/4*w^3 + 1/2*w^2 + 19/4*w - 9/2]', '[211, 211, -w^3 - 1/2*w^2 + 15/2*w]', '[211, 211, -1/4*w^3 + 1/2*w^2 + 13/4*w - 11/2]', '[211, 211, 3/4*w^3 + 1/2*w^2 - 19/4*w - 9/2]', '[251, 251, 3/4*w^3 - 1/2*w^2 - 27/4*w + 1/2]', '[251, 251, 1/2*w^2 - 3/2*w - 4]', '[251, 251, 1/2*w^2 + 3/2*w - 4]', '[251, 251, -3/4*w^3 - 1/2*w^2 + 27/4*w + 1/2]', '[269, 269, -3/4*w^3 + 17/4*w - 1/2]', '[269, 269, 1/2*w^3 + 1/2*w^2 - 4*w - 7]', '[269, 269, -5/4*w^3 + 39/4*w + 1/2]', '[269, 269, 3/4*w^3 - 17/4*w - 1/2]', '[289, 17, -1/4*w^3 + 11/4*w - 9/2]', '[289, 17, 1/4*w^3 - 11/4*w - 9/2]', '[311, 311, 3/4*w^3 + w^2 - 29/4*w - 19/2]', '[311, 311, 3/4*w^3 + w^2 - 25/4*w - 21/2]', '[311, 311, 3/4*w^3 - w^2 - 13/4*w + 7/2]', '[311, 311, -3/4*w^3 + w^2 + 29/4*w - 19/2]', '[361, 19, -1/4*w^3 + 7/4*w - 9/2]', '[361, 19, -w^3 + 7*w - 1]', '[389, 389, 5/4*w^3 - 3/2*w^2 - 41/4*w + 13/2]', '[389, 389, 5/4*w^3 - 47/4*w + 9/2]', '[389, 389, 1/2*w^3 + 3/2*w^2 - 2*w - 7]', '[389, 389, 5/4*w^3 + 3/2*w^2 - 41/4*w - 13/2]', '[419, 419, 5/4*w^3 - 1/2*w^2 - 37/4*w + 5/2]', '[419, 419, w^3 - 1/2*w^2 - 13/2*w + 2]', '[419, 419, w^3 + 1/2*w^2 - 13/2*w - 2]', '[419, 419, 5/4*w^3 + 1/2*w^2 - 37/4*w - 5/2]', '[439, 439, -1/4*w^3 - 1/2*w^2 - 7/4*w + 5/2]', '[439, 439, 2*w^3 + 1/2*w^2 - 35/2*w - 2]', '[439, 439, 2*w^3 - 1/2*w^2 - 35/2*w + 2]', '[439, 439, -1/4*w^3 + 1/2*w^2 - 7/4*w - 5/2]', '[491, 491, 1/4*w^3 + 3/2*w^2 - 9/4*w - 7/2]', '[491, 491, -3/2*w^2 + 1/2*w + 10]', '[491, 491, -1/4*w^3 - 5/4*w + 5/2]', '[491, 491, 1/4*w^3 - 3/2*w^2 - 9/4*w + 7/2]', '[521, 521, 1/2*w^2 - 3/2*w - 6]', '[521, 521, -3/4*w^3 - 1/2*w^2 + 27/4*w - 3/2]', '[521, 521, 3/4*w^3 - 1/2*w^2 - 27/4*w - 3/2]', '[521, 521, 1/2*w^2 + 3/2*w - 6]', '[529, 23, 1/2*w^3 - 11/2*w - 6]', '[529, 23, -1/2*w^3 + 11/2*w - 6]', '[569, 569, 3/4*w^3 + w^2 - 33/4*w - 3/2]', '[569, 569, -3/4*w^3 + w^2 + 33/4*w - 15/2]', '[569, 569, 3/4*w^3 + w^2 - 33/4*w - 15/2]', '[569, 569, -3/4*w^3 + w^2 + 33/4*w - 3/2]', '[571, 571, -1/2*w^3 - 3/2*w^2 + 5*w + 9]', '[571, 571, 1/4*w^3 - 19/4*w + 1/2]', '[571, 571, 1/4*w^3 - 19/4*w - 1/2]', '[571, 571, 3/4*w^3 + 3/2*w^2 - 27/4*w - 19/2]', '[599, 599, -3/4*w^3 - w^2 + 21/4*w + 1/2]', '[599, 599, 1/2*w^3 - 3/2*w^2 - 6*w + 9]', '[599, 599, -1/2*w^3 - 3/2*w^2 + 6*w + 9]', '[599, 599, 3/4*w^3 - w^2 - 21/4*w + 1/2]', '[601, 601, 1/2*w^3 - w^2 - 9/2*w]', '[601, 601, -w^2 - w + 9]', '[601, 601, -7/4*w^3 + 57/4*w - 7/2]', '[601, 601, 1/2*w^3 + w^2 - 9/2*w]', '[641, 641, w^3 + 1/2*w^2 - 11/2*w - 2]', '[641, 641, -7/4*w^3 + 1/2*w^2 + 55/4*w - 5/2]', '[641, 641, 7/4*w^3 + 1/2*w^2 - 55/4*w - 5/2]', '[641, 641, -w^3 + 1/2*w^2 + 11/2*w - 2]', '[659, 659, 7/4*w^3 - 1/2*w^2 - 59/4*w + 3/2]', '[659, 659, 5/2*w^3 - w^2 - 41/2*w + 8]', '[659, 659, 5/2*w^3 + w^2 - 41/2*w - 8]', '[659, 659, w^3 + 3/2*w^2 - 19/2*w - 12]', '[701, 701, 1/2*w^3 - 3/2*w^2 - 3*w + 5]', '[701, 701, 3/4*w^3 + 3/2*w^2 - 23/4*w - 17/2]', '[701, 701, 3/4*w^3 - 3/2*w^2 - 23/4*w + 17/2]', '[701, 701, 1/2*w^3 + 3/2*w^2 - 3*w - 5]', '[719, 719, 3/4*w^3 - 3/2*w^2 - 23/4*w + 13/2]', '[719, 719, -1/2*w^3 + 3/2*w^2 + 3*w - 7]', '[719, 719, 1/2*w^3 + 3/2*w^2 - 3*w - 7]', '[719, 719, 3/4*w^3 + 3/2*w^2 - 23/4*w - 13/2]', '[751, 751, 1/2*w^3 - 3/2*w - 4]', '[751, 751, -3/2*w^3 + 25/2*w + 4]', '[751, 751, 3/2*w^3 - 25/2*w + 4]', '[751, 751, -1/2*w^3 + 3/2*w - 4]', '[809, 809, 3/2*w^2 - 1/2*w - 4]', '[809, 809, 1/4*w^3 + 3/2*w^2 - 9/4*w - 19/2]', '[809, 809, 1/4*w^3 - 3/2*w^2 - 9/4*w + 19/2]', '[809, 809, 3/2*w^2 + 1/2*w - 4]', '[829, 829, -3/2*w^3 - 1/2*w^2 + 11*w + 1]', '[829, 829, 5/4*w^3 - 1/2*w^2 - 33/4*w + 7/2]', '[829, 829, 5/4*w^3 + 1/2*w^2 - 33/4*w - 7/2]', '[829, 829, -3/2*w^3 + 1/2*w^2 + 11*w - 1]', '[859, 859, -1/2*w^3 - 1/2*w^2 + 7*w + 3]', '[859, 859, 5/4*w^3 + 1/2*w^2 - 49/4*w - 3/2]', '[859, 859, -5/4*w^3 + 1/2*w^2 + 49/4*w - 3/2]', '[859, 859, 1/2*w^3 - 1/2*w^2 - 7*w + 3]', '[881, 881, 5/4*w^3 + 2*w^2 - 43/4*w - 29/2]', '[881, 881, -1/4*w^3 + 2*w^2 - 1/4*w - 7/2]', '[881, 881, -w^3 + 3/2*w^2 + 15/2*w - 12]', '[881, 881, 5/4*w^3 - 2*w^2 - 43/4*w + 29/2]', '[911, 911, 1/4*w^3 - w^2 - 7/4*w - 5/2]', '[911, 911, -1/4*w^3 + w^2 + 7/4*w - 23/2]', '[911, 911, -9/4*w^3 + 1/2*w^2 + 73/4*w - 9/2]', '[911, 911, 9/4*w^3 + w^2 - 75/4*w - 11/2]', '[919, 919, 5/4*w^3 - 1/2*w^2 - 41/4*w - 1/2]', '[919, 919, -3/4*w^3 - w^2 + 29/4*w + 3/2]', '[919, 919, -3/4*w^3 + w^2 + 29/4*w - 3/2]', '[919, 919, -5/4*w^3 - 1/2*w^2 + 41/4*w - 1/2]', '[961, 31, 1/2*w^3 - 7/2*w - 6]', '[961, 31, 5/4*w^3 - 35/4*w - 1/2]', '[971, 971, -7/4*w^3 + 61/4*w - 7/2]', '[971, 971, -1/4*w^3 - 5/4*w - 7/2]', '[971, 971, 11/4*w^3 + w^2 - 97/4*w - 17/2]', '[971, 971, 1/4*w^3 - 2*w^2 - 7/4*w + 7/2]', '[991, 991, -5/4*w^3 - w^2 + 43/4*w + 7/2]', '[991, 991, w^3 - 1/2*w^2 - 17/2*w - 2]', '[991, 991, -w^3 - 1/2*w^2 + 17/2*w - 2]', '[991, 991, -5/4*w^3 + w^2 + 43/4*w - 7/2]']}
76. label: 4.4.4352.1
    {'degree': 4, 'discriminant': 4352, 'ideals': ['[1, 1, 1]', '[2, 2, -w]', '[4, 2, w^3 - w^2 - 4*w]', '[7, 7, -w^3 + w^2 + 5*w + 1]', '[7, 7, -w + 1]', '[8, 2, w^3 - 2*w^2 - 4*w + 2]', '[14, 14, w^3 - 2*w^2 - 3*w + 4]', '[14, 14, -w^2 + w + 2]', '[16, 2, 2]', '[17, 17, -w^3 + 2*w^2 + 4*w - 3]', '[23, 23, -2*w^3 + 2*w^2 + 9*w + 1]', '[23, 23, -w^3 + w^2 + 3*w + 1]', '[28, 14, w^2 - 4]', '[28, 14, 2*w^3 - 3*w^2 - 8*w + 2]', '[31, 31, w^2 - w - 1]', '[31, 31, w^3 - 2*w^2 - 3*w + 5]', '[32, 4, -2*w]', '[34, 34, w^2 - w - 6]', '[41, 41, w^3 - 3*w^2 - 2*w + 7]', '[41, 41, w^3 - 3*w^2 - 2*w + 5]', '[46, 46, -2*w^3 + 3*w^2 + 7*w - 4]', '[46, 46, w^3 - 5*w - 2]', '[49, 7, 2*w^3 - 2*w^2 - 8*w - 1]', '[49, 7, -2*w^3 + 2*w^2 + 8*w - 1]', '[49, 49, w^3 - w^2 - 6*w + 1]', '[49, 49, w^3 - w^2 - 6*w - 1]', '[56, 14, -w^3 + 2*w^2 + 2*w - 4]', '[56, 14, w^3 - 6*w - 2]', '[62, 62, 2*w^3 - 2*w^2 - 9*w - 2]', '[62, 62, -w^3 + w^2 + 3*w + 2]', '[64, 4, 2*w^3 - 2*w^2 - 8*w]', '[68, 34, -w^3 + w^2 + 6*w]', '[71, 71, -2*w^3 + 3*w^2 + 8*w - 1]', '[71, 71, w^2 - 5]', '[73, 73, -3*w^3 + 4*w^2 + 11*w - 3]', '[73, 73, 2*w^3 - w^2 - 9*w - 3]', '[79, 79, 3*w^3 - 4*w^2 - 13*w + 3]', '[79, 79, w^2 + w - 3]', '[81, 3, -3]', '[82, 82, 3*w^3 - 4*w^2 - 11*w + 2]', '[82, 82, 3*w^3 - 4*w^2 - 9*w + 2]', '[89, 89, -w^3 + 3*w^2 + 3*w - 11]', '[89, 89, 3*w^3 - 2*w^2 - 14*w - 3]', '[89, 89, -w^3 + 6*w + 7]', '[89, 89, 3*w^3 - 3*w^2 - 13*w + 1]', '[92, 46, w^2 - 6]', '[92, 46, 2*w^3 - 3*w^2 - 8*w]', '[97, 97, -w^3 + 2*w^2 + 3*w - 7]', '[97, 97, 2*w^3 - 3*w^2 - 8*w + 7]', '[98, 14, w^3 - 2*w^2 - w + 2]', '[98, 14, -w^3 + 2*w^2 + 7*w - 2]', '[98, 98, 2*w^3 - 2*w^2 - 7*w]', '[98, 98, 3*w^3 - 3*w^2 - 13*w]', '[103, 103, -2*w^3 + 3*w^2 + 7*w - 7]', '[103, 103, w^3 - 5*w - 1]', '[103, 103, 4*w^3 - 4*w^2 - 18*w + 3]', '[103, 103, 2*w^3 - 3*w^2 - 7*w + 5]', '[112, 14, -2*w^3 + 2*w^2 + 10*w + 2]', '[112, 14, -2*w + 2]', '[113, 113, -4*w^3 + 5*w^2 + 15*w - 5]', '[113, 113, w^2 - 3*w - 1]', '[119, 119, w^3 - 3*w^2 - w + 3]', '[119, 119, -2*w^2 + 3*w + 9]', '[124, 62, 2*w^3 - 3*w^2 - 6*w + 4]', '[124, 62, 2*w^3 - w^2 - 10*w - 2]', '[127, 127, -w^3 + 2*w^2 + 2*w - 5]', '[127, 127, 2*w^2 - w - 9]', '[127, 127, w^3 - 6*w - 1]', '[127, 127, -4*w^3 + 6*w^2 + 18*w - 9]', '[128, 4, 2*w^3 - 4*w^2 - 8*w + 4]', '[136, 34, -3*w^3 + 2*w^2 + 14*w + 4]', '[142, 142, -w^3 + 5*w]', '[142, 142, -3*w^3 + 4*w^2 + 9*w - 4]', '[146, 146, -4*w^3 + 7*w^2 + 15*w - 6]', '[146, 146, w^3 - 3*w^2 - 5*w + 4]', '[151, 151, -3*w^3 + 4*w^2 + 12*w - 1]', '[151, 151, 2*w^3 - 3*w^2 - 9*w + 1]', '[151, 151, w^3 - 4*w - 5]', '[151, 151, w^3 - 2*w^2 - 5*w + 5]', '[158, 158, 4*w^3 - 5*w^2 - 15*w + 6]', '[158, 158, -w^3 - w^2 + 3*w]', '[161, 161, -w^3 + 3*w^2 + 3*w - 5]', '[161, 161, -2*w^3 + 4*w^2 + 7*w - 7]', '[161, 161, -w^3 + 2*w^2 + 3*w + 1]', '[161, 161, -w^2 + w + 7]', '[162, 6, 3*w]', '[164, 82, w^3 + w^2 - 8*w - 6]', '[164, 82, -w^3 + 3*w^2 - 6]', '[167, 167, 5*w^3 - 5*w^2 - 23*w + 3]', '[167, 167, 4*w^3 - 6*w^2 - 16*w + 5]', '[169, 13, -2*w^3 + 4*w^2 + 7*w - 5]', '[169, 13, -w^3 + 3*w^2 + 3*w - 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13]', '[233, 233, w^3 + w^2 - 8*w - 7]', '[238, 238, -w^3 + 2*w^2 + 5*w - 6]', '[238, 238, 2*w^3 - 3*w^2 - 9*w]', '[241, 241, -2*w^3 + 2*w^2 + 11*w + 1]', '[241, 241, 5*w^3 - 5*w^2 - 24*w + 1]', '[248, 62, -w^3 + 4*w + 6]', '[248, 62, 3*w^3 - 4*w^2 - 12*w]', '[254, 254, -3*w + 2]', '[254, 254, -3*w^3 + 4*w^2 + 11*w - 6]', '[254, 254, -2*w^3 + 4*w^2 + 9*w - 2]', '[254, 254, -2*w^3 + w^2 + 9*w]', '[256, 4, 4]', '[263, 263, -2*w^3 + w^2 + 10*w + 1]', '[263, 263, -2*w^3 + 3*w^2 + 9*w + 1]', '[263, 263, -w^3 + 2*w^2 + 5*w - 7]', '[263, 263, 2*w^3 - 3*w^2 - 6*w + 5]', '[272, 34, -2*w^3 + 4*w^2 + 8*w - 6]', '[284, 142, w^3 - w^2 - 2*w - 2]', '[284, 142, -3*w^3 + 3*w^2 + 14*w + 2]', '[287, 287, 4*w^3 - 7*w^2 - 11*w + 7]', '[287, 287, -w^3 - 2*w^2 + 7*w + 9]', '[287, 287, 4*w^3 - 7*w^2 - 13*w + 9]', '[287, 287, -3*w^3 + 17*w + 11]', '[289, 17, -3*w^3 + 3*w^2 + 12*w - 1]', '[289, 17, 3*w^3 - 3*w^2 - 12*w - 1]', '[292, 146, -w^2 + 2*w - 2]', '[292, 146, -w^2 + 2*w + 8]', '[302, 302, 3*w^3 - 3*w^2 - 9*w + 4]', '[302, 302, -2*w^2 + w + 2]', '[302, 302, -4*w^3 + 6*w^2 + 13*w - 6]', '[302, 302, 2*w^3 - w^2 - 9*w + 2]', '[311, 311, 3*w^3 - 5*w^2 - 12*w + 3]', '[311, 311, -w^3 + 3*w^2 + 4*w - 9]', '[313, 313, 2*w^3 - 5*w^2 - 5*w + 9]', '[313, 313, w^3 - w^2 - 7*w - 1]', '[316, 158, 2*w^3 - 3*w^2 - 10*w + 6]', '[316, 158, -2*w^3 + 3*w^2 + 10*w]', '[322, 322, -3*w^3 + 2*w^2 + 13*w + 2]', '[322, 322, -4*w^3 + 5*w^2 + 15*w - 4]', '[322, 322, w^3 - w^2 - 7*w]', '[322, 322, 2*w^3 - 2*w^2 - 11*w]', '[324, 6, -3*w^3 + 3*w^2 + 12*w]', '[328, 82, -w^3 + 2*w^2 + 2*w + 2]', '[328, 82, -3*w^3 + 6*w^2 + 10*w - 2]', '[334, 334, 4*w^3 - 5*w^2 - 17*w + 2]', '[334, 334, 6*w^3 - 8*w^2 - 21*w + 8]', '[337, 337, -4*w^3 + 5*w^2 + 15*w - 1]', '[337, 337, w^3 - w^2 - 3*w + 5]', '[338, 26, -3*w^3 + 3*w^2 + 11*w - 2]', '[338, 26, -4*w^3 + 5*w^2 + 13*w - 4]', '[343, 7, 3*w^3 - 4*w^2 - 15*w + 1]', '[343, 7, -2*w^3 + 3*w^2 + 11*w - 5]', '[343, 49, 3*w^3 - 2*w^2 - 15*w - 7]', '[343, 49, 2*w^3 - 3*w^2 - 5*w - 1]', '[343, 343, -w^3 - w^2 + 7*w + 5]', '[343, 343, 2*w^3 - 4*w^2 - 5*w + 7]', '[356, 178, -5*w^3 + 7*w^2 + 18*w - 4]', '[356, 178, w^2 + 2]', '[356, 178, 4*w^3 - 5*w^2 - 12*w + 2]', '[356, 178, 2*w^3 - 3*w^2 - 8*w + 8]', '[361, 19, -3*w^2 + 2*w + 11]', '[361, 19, 3*w^3 - w^2 - 14*w - 7]', '[367, 367, 4*w^3 - 6*w^2 - 14*w + 7]', '[367, 367, -2*w^3 + 10*w + 5]', '[368, 46, -4*w^3 + 4*w^2 + 18*w + 2]', '[368, 46, -2*w^3 + 2*w^2 + 6*w + 2]', '[383, 383, -2*w^3 + 4*w^2 + 6*w - 9]', '[383, 383, w^2 + w - 5]', '[383, 383, 2*w^2 - 2*w - 3]', '[383, 383, 3*w^3 - 4*w^2 - 13*w + 1]', '[386, 386, -w^3 + 3*w^2 + 3*w]', '[386, 386, w^2 - w + 2]', '[388, 194, -3*w^3 + 3*w^2 + 10*w - 2]', '[388, 194, 4*w^3 - 5*w^2 - 14*w + 4]', '[391, 391, -2*w^3 + 3*w^2 + 5*w - 5]', '[391, 391, 3*w^3 - 2*w^2 - 15*w - 1]', '[392, 14, -3*w^3 + 6*w^2 + 14*w - 6]', '[392, 14, -3*w^3 + 6*w^2 + 10*w - 6]', '[392, 98, w^3 - 2*w^2 - 4*w + 8]', '[392, 98, -w^3 + 2*w^2 + 4*w + 2]', '[398, 398, -2*w^3 + w^2 + 3*w]', '[398, 398, 5*w^3 - 7*w^2 - 21*w + 6]', '[401, 401, 3*w^3 - 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7]', '[721, 721, -2*w^3 + w^2 + 12*w + 3]', '[721, 721, -3*w^3 + 3*w^2 + 16*w + 1]', '[721, 721, -w^3 + 4*w^2 + 4*w - 9]', '[721, 721, -w^2 + 4*w + 3]', '[721, 721, 5*w^3 - 8*w^2 - 20*w + 9]', '[721, 721, w^3 - 4*w^2 - 3*w + 7]', '[721, 721, w^3 - w^2 - 8*w + 1]', '[721, 721, 4*w^3 - 7*w^2 - 15*w + 11]', '[722, 38, 3*w^3 - 2*w^2 - 11*w]', '[722, 38, w^3 - 4*w^2 - 5*w + 6]', '[734, 734, -w^3 - 2*w^2 + 7*w + 8]', '[734, 734, 2*w^2 + 3*w - 4]', '[736, 92, -4*w^3 + 6*w^2 + 14*w - 8]', '[736, 92, 2*w^3 - 10*w - 4]', '[743, 743, 6*w^3 - 6*w^2 - 27*w + 5]', '[743, 743, w^3 - 4*w^2 - w + 5]', '[751, 751, 4*w^3 - 6*w^2 - 13*w + 7]', '[751, 751, 3*w^3 - w^2 - 15*w - 5]', '[766, 766, -4*w^3 + 6*w^2 + 17*w - 4]', '[766, 766, -w^3 - w^2 + 5*w]', '[766, 766, -2*w^3 + 2*w^2 + 3*w]', '[766, 766, 4*w^3 - 5*w^2 - 13*w + 6]', '[772, 386, 2*w^3 - 5*w^2 - 6*w + 8]', '[772, 386, 2*w^3 - 5*w^2 - 6*w + 10]', '[776, 194, -w^3 + 8*w + 4]', '[776, 194, w^3 - 8*w - 2]', '[782, 782, 5*w^3 - 7*w^2 - 19*w + 2]', '[782, 782, 2*w^3 - 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9]', '[1186, 1186, -5*w^3 + 4*w^2 + 19*w - 8]', '[1186, 1186, -5*w^3 + 5*w^2 + 21*w - 2]', '[1186, 1186, -4*w^3 + 7*w^2 + 17*w - 10]', '[1186, 1186, -3*w^3 + 6*w^2 + 13*w - 8]', '[1193, 1193, -3*w^3 + 6*w^2 + 11*w - 9]', '[1193, 1193, -2*w^3 + 5*w^2 + 7*w - 9]', '[1198, 1198, -2*w^3 + 13*w + 2]', '[1198, 1198, 5*w^3 - 6*w^2 - 13*w + 6]', '[1198, 1198, -3*w^3 + 2*w^2 + 15*w - 2]', '[1198, 1198, w^3 - 3*w^2 + w + 10]', '[1201, 1201, -4*w^3 + 7*w^2 + 16*w - 9]', '[1201, 1201, 2*w^3 - 5*w^2 - 8*w + 9]', '[1202, 1202, -8*w^3 + 13*w^2 + 29*w - 12]', '[1202, 1202, w^3 - 5*w^2 - 5*w + 6]', '[1207, 1207, w^3 + w^2 - 6*w - 1]', '[1207, 1207, 3*w^3 - 5*w^2 - 10*w + 11]', '[1208, 302, w^3 - 4*w^2 + 2]', '[1208, 302, w^3 + 2*w^2 - 4*w]', '[1208, 302, -3*w^3 + 4*w^2 + 8*w - 6]', '[1208, 302, 5*w^3 - 6*w^2 - 18*w + 8]', '[1214, 1214, 7*w^3 - 11*w^2 - 29*w + 10]', '[1214, 1214, 3*w^2 + 5*w - 4]', '[1217, 1217, 8*w^3 - 12*w^2 - 35*w + 17]', '[1217, 1217, -4*w^3 + 2*w^2 + 22*w + 9]', '[1223, 1223, -7*w^3 + 11*w^2 + 27*w - 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w - 26]', '[1778, 1778, 4*w^3 - 5*w^2 - 21*w + 2]', '[1778, 1778, 2*w^3 - 3*w^2 - 7*w - 4]', '[1778, 1778, 4*w^3 - 3*w^2 - 15*w - 4]', '[1778, 1778, 3*w^3 - 19*w - 14]', '[1792, 28, -4*w^3 + 4*w^2 + 20*w + 4]', '[1792, 28, -4*w + 4]', '[1796, 898, 7*w^3 - 9*w^2 - 26*w + 8]', '[1796, 898, 7*w^3 - 11*w^2 - 28*w + 12]', '[1801, 1801, -3*w^3 + 4*w^2 + 11*w - 11]', '[1801, 1801, 6*w^3 - 9*w^2 - 24*w + 19]', '[1801, 1801, -w^3 + w^2 + 3*w - 7]', '[1801, 1801, -2*w^3 + 2*w^2 + 9*w - 7]', '[1808, 226, -4*w^3 + 6*w^2 + 8*w - 6]', '[1808, 226, 2*w^2 - 6*w - 2]', '[1817, 1817, 5*w^3 - 6*w^2 - 18*w + 3]', '[1817, 1817, -5*w^3 + 7*w^2 + 22*w - 15]', '[1817, 1817, w^3 - 3*w^2 - 6*w - 3]', '[1817, 1817, 5*w^3 - 4*w^2 - 22*w - 3]', '[1822, 1822, 9*w^3 - 13*w^2 - 35*w + 16]', '[1822, 1822, 2*w^3 - 9*w^2 - 9*w + 6]', '[1828, 914, w^2 + 4]', '[1828, 914, -2*w^3 + 3*w^2 + 8*w - 10]', '[1828, 914, -4*w^3 + 3*w^2 + 16*w + 4]', '[1828, 914, -6*w^3 + 7*w^2 + 24*w - 2]', '[1831, 1831, 5*w^3 - 6*w^2 - 24*w + 1]', '[1831, 1831, -5*w^3 + 9*w^2 + 21*w - 19]', '[1841, 1841, -3*w^3 + 3*w^2 + 17*w - 3]', '[1841, 1841, -3*w^3 + 3*w^2 + 16*w - 9]', '[1841, 1841, -w^3 + w^2 + 8*w + 9]', '[1841, 1841, -5*w^3 + 6*w^2 + 16*w - 3]', '[1841, 1841, -2*w^3 + 2*w^2 + 13*w + 3]', '[1841, 1841, 2*w^3 - 6*w^2 - 7*w + 15]', '[1841, 1841, 7*w^3 - 6*w^2 - 32*w - 3]', '[1841, 1841, 5*w^3 - 9*w^2 - 19*w + 9]', '[1847, 1847, -6*w^3 + 7*w^2 + 25*w + 1]', '[1847, 1847, 3*w^3 - 2*w^2 - 11*w - 7]', '[1849, 43, -2*w^3 + w^2 + 13*w + 1]', '[1849, 43, w^3 - 9*w - 5]', '[1852, 926, -5*w^3 + 7*w^2 + 20*w - 2]', '[1852, 926, -w^3 - w^2 + 4*w + 10]', '[1852, 926, 5*w^3 - 5*w^2 - 22*w - 8]', '[1852, 926, -3*w^3 + 3*w^2 + 10*w + 8]', '[1858, 1858, -7*w^3 + 9*w^2 + 25*w - 8]', '[1858, 1858, -4*w^3 + 3*w^2 + 13*w - 2]', '[1863, 69, 6*w^3 - 6*w^2 - 27*w - 3]', '[1863, 69, 3*w^3 - 3*w^2 - 9*w - 3]', '[1864, 466, -5*w^3 + 4*w^2 + 22*w + 4]', '[1864, 466, -5*w^3 + 6*w^2 + 18*w - 2]', '[1871, 1871, -w^3 + 4*w^2 + 4*w - 13]', '[1871, 1871, -3*w^3 + 8*w^2 + 8*w - 23]', '[1871, 1871, 5*w^3 - 8*w^2 - 20*w + 5]', '[1871, 1871, 4*w^3 - 7*w^2 - 9*w + 1]', '[1873, 1873, -3*w^3 + 7*w^2 + 12*w - 15]', '[1873, 1873, -6*w^3 + 10*w^2 + 25*w - 17]', '[1879, 1879, -6*w^3 + 7*w^2 + 26*w - 1]', '[1879, 1879, 9*w^3 - 14*w^2 - 38*w + 27]', '[1879, 1879, 2*w^3 - w^2 - 6*w - 5]', '[1879, 1879, 3*w^3 - 3*w^2 - 17*w - 7]', '[1886, 1886, w^3 - w^2 - w - 8]', '[1886, 1886, 6*w^3 - 4*w^2 - 29*w - 12]', '[1886, 1886, 5*w^3 - 7*w^2 - 15*w]', '[1886, 1886, 4*w^3 - 4*w^2 - 19*w - 8]', '[1889, 1889, 4*w^3 - 8*w^2 - 13*w + 11]', '[1889, 1889, 4*w^3 - 9*w^2 - 11*w + 15]', '[1889, 1889, w^3 - 6*w^2 + w + 15]', '[1889, 1889, -w^3 + 5*w^2 + w - 13]', '[1904, 238, 2*w^3 - 6*w^2 - 2*w + 6]', '[1904, 238, -4*w^2 + 6*w + 18]', '[1906, 1906, -2*w^3 + 2*w^2 + 13*w - 2]', '[1906, 1906, 6*w^3 - 7*w^2 - 23*w + 6]', '[1906, 1906, 2*w^3 - 2*w^2 - w + 2]', '[1906, 1906, -5*w^3 + 5*w^2 + 15*w - 4]', '[1916, 958, 4*w^3 - 7*w^2 - 14*w + 16]', '[1916, 958, -5*w^3 + 3*w^2 + 24*w + 4]', '[1921, 1921, 4*w^3 - w^2 - 21*w - 19]', '[1921, 1921, -7*w^3 + 9*w^2 + 27*w - 7]', '[1922, 62, 4*w^3 - w^2 - 23*w - 12]', '[1922, 62, -4*w^3 + 8*w^2 + 15*w - 8]', '[1922, 1922, 3*w^3 - 7*w^2 - 9*w + 10]', '[1922, 1922, 2*w^3 - 6*w^2 - 5*w + 14]', '[1928, 482, w^3 - 2*w^2 - 4*w - 4]', '[1928, 482, w^3 - 2*w^2 - 4*w + 10]', '[1948, 974, 3*w^3 - 5*w^2 - 14*w + 12]', '[1948, 974, -5*w^3 + 5*w^2 + 18*w + 6]', '[1951, 1951, 2*w^3 - 5*w^2 - 4*w + 13]', '[1951, 1951, -5*w^3 + 4*w^2 + 24*w - 1]', '[1951, 1951, 3*w^2 - 4*w - 5]', '[1951, 1951, -8*w^3 + 11*w^2 + 33*w - 9]', '[1954, 1954, -3*w^3 + 7*w^2 + 9*w - 2]', '[1954, 1954, w^3 + 2*w^2 - 3*w + 2]', '[1954, 1954, -3*w^3 + 2*w^2 + 13*w - 6]', '[1954, 1954, -w^2 + w - 4]', '[1966, 1966, -2*w^3 + 3*w^2 + 13*w - 6]', '[1966, 1966, -3*w^3 + 7*w^2 + 15*w - 4]', '[1982, 1982, -5*w^3 + 5*w^2 + 11*w - 6]', '[1982, 1982, 4*w^3 - 8*w^2 - 21*w + 6]', '[1984, 124, 4*w^3 - 6*w^2 - 12*w + 8]', '[1984, 124, 4*w^3 - 2*w^2 - 20*w - 4]', '[1988, 994, 4*w^3 - 3*w^2 - 16*w - 2]', '[1988, 994, -3*w^2 + 4*w + 18]', '[1988, 994, 2*w^3 - 5*w^2 - 4*w]', '[1988, 994, -6*w^3 + 7*w^2 + 24*w - 4]', '[1993, 1993, 6*w^3 - 8*w^2 - 20*w + 5]', '[1993, 1993, -7*w^3 + 9*w^2 + 28*w - 17]', '[1993, 1993, 4*w^3 - 8*w^2 - 18*w + 13]', '[1993, 1993, 10*w^3 - 15*w^2 - 43*w + 23]', '[1999, 1999, 3*w^3 - w^2 - 13*w + 3]', '[1999, 1999, 6*w^3 - 8*w^2 - 23*w + 15]', '[2009, 287, -3*w^3 + w^2 + 18*w + 5]', '[2009, 287, -4*w^3 + 8*w^2 + 14*w - 15]', '[2009, 287, w^3 - 3*w^2 + 2*w + 7]', '[2009, 287, -2*w^3 + 6*w^2 + 6*w - 9]', '[2009, 2009, 6*w^3 - 4*w^2 - 28*w - 9]', '[2009, 2009, 6*w^3 - 8*w^2 - 20*w + 3]', '[2009, 2009, 4*w^3 - 2*w^2 - 16*w - 7]', '[2009, 2009, 8*w^3 - 10*w^2 - 32*w + 5]', '[2012, 1006, -2*w^3 + 7*w^2 + 6*w - 6]', '[2012, 1006, -4*w^3 + 7*w^2 + 16*w - 2]', '[2017, 2017, -6*w^3 + 7*w^2 + 24*w - 3]', '[2017, 2017, 4*w^3 - 3*w^2 - 16*w - 3]', '[2018, 2018, 2*w^3 - 7*w + 4]', '[2018, 2018, -2*w^3 + 9*w - 4]', '[2023, 119, w^3 + 2*w^2 - 5*w - 13]', '[2023, 119, w^3 - 4*w^2 - 5*w + 11]', '[2023, 119, 6*w^3 - 9*w^2 - 23*w + 5]', '[2023, 119, -6*w^3 + 9*w^2 + 25*w - 7]', '[2032, 254, -2*w^3 + 4*w^2 + 4*w - 10]', '[2032, 254, 4*w^2 - 2*w - 18]', '[2032, 254, 2*w^3 - 12*w - 2]', '[2032, 254, -2*w^3 + 4*w^2 + 14*w - 6]', '[2039, 2039, 2*w^3 + w^2 - 11*w - 7]', '[2039, 2039, 5*w^3 - 8*w^2 - 18*w + 13]', '[2039, 2039, 5*w^3 - 8*w^2 - 17*w + 11]', '[2039, 2039, w^3 + 2*w^2 - 6*w - 5]', '[2044, 1022, w^3 - 3*w^2 - 6*w + 8]', '[2044, 1022, w^3 - 3*w^2 + 4*w - 2]', '[2044, 1022, -5*w^3 + 3*w^2 + 28*w + 14]', '[2044, 1022, 5*w^3 - 7*w^2 - 22*w + 4]', '[2047, 2047, 4*w^3 - 3*w^2 - 21*w - 9]', '[2047, 2047, -6*w^3 + 9*w^2 + 22*w - 1]', '[2047, 2047, w^2 + 2*w - 7]', '[2047, 2047, 2*w^3 + w^2 - 10*w - 17]', '[2047, 2047, 9*w^3 - 12*w^2 - 35*w + 5]', '[2047, 2047, 4*w^3 - 5*w^2 - 18*w - 1]', '[2047, 2047, -4*w^3 + 8*w^2 + 16*w - 21]', '[2047, 2047, -4*w^3 + w^2 + 17*w + 13]', '[2048, 8, 4*w^3 - 8*w^2 - 16*w + 8]', '[2062, 2062, w^3 + 2*w^2 - 5*w]', '[2062, 2062, 5*w^3 - 6*w^2 - 17*w + 8]', '[2063, 2063, w^2 + 3*w - 5]', '[2063, 2063, 5*w^3 - 6*w^2 - 23*w + 1]', '[2066, 2066, -w^3 + 3*w^2 + w + 2]', '[2066, 2066, -6*w^3 + 6*w^2 + 19*w - 6]', '[2066, 2066, -2*w^3 + 5*w^2 + 7*w]', '[2066, 2066, 6*w^3 - 6*w^2 - 23*w + 6]', '[2078, 2078, 10*w^3 - 16*w^2 - 39*w + 14]', '[2078, 2078, -3*w^3 + 5*w^2 + 9*w - 10]', '[2078, 2078, -3*w^3 + 4*w^2 + 15*w + 4]', '[2078, 2078, 2*w^3 - 11*w - 2]', '[2081, 2081, w^3 - w^2 - 5*w - 7]', '[2081, 2081, w - 7]', '[2084, 1042, -5*w^3 + 9*w^2 + 18*w - 10]', '[2084, 1042, -4*w^3 + 9*w^2 + 14*w - 8]', '[2087, 2087, -4*w^3 + 4*w^2 + 19*w + 5]', '[2087, 2087, 4*w^3 - 6*w^2 - 13*w + 9]', '[2087, 2087, w^3 - w^2 - w - 5]', '[2087, 2087, -3*w^3 + w^2 + 15*w + 3]', '[2098, 2098, w^3 - 9*w - 2]', '[2098, 2098, 2*w^3 - w^2 - 13*w - 4]', '[2104, 526, -5*w^3 + 8*w^2 + 22*w - 6]', '[2104, 526, w^3 - 6*w^2 - 4*w + 4]', '[2104, 526, -7*w^3 + 10*w^2 + 26*w - 12]', '[2104, 526, -w^3 - 2*w + 2]', '[2108, 1054, w^2 + 4*w - 4]', '[2108, 1054, -6*w^3 + 7*w^2 + 28*w - 2]', '[2111, 2111, 4*w^3 - w^2 - 19*w - 7]', '[2111, 2111, 7*w^3 - 10*w^2 - 25*w + 11]', '[2113, 2113, -7*w^3 + 7*w^2 + 34*w - 3]', '[2113, 2113, -6*w^3 + 10*w^2 + 24*w - 23]', '[2114, 2114, -w^3 + 9*w + 4]', '[2114, 2114, 4*w^3 - 9*w^2 - 11*w + 12]', '[2114, 2114, 5*w^3 - 9*w^2 - 19*w + 16]', '[2114, 2114, -w^3 - 2*w^2 + 11*w + 6]', '[2114, 2114, -2*w^3 + 6*w^2 + 7*w - 8]', '[2114, 2114, 3*w^2 - 7*w - 12]', '[2114, 2114, 2*w^3 - w^2 - 13*w - 2]', '[2114, 2114, -w^3 + 6*w^2 - w - 18]', '[2116, 46, -5*w^3 + 5*w^2 + 20*w + 2]', '[2116, 46, -5*w^3 + 5*w^2 + 20*w - 2]', '[2116, 1058, 4*w^3 - 3*w^2 - 22*w - 6]', '[2116, 1058, w^2 - 6*w]', '[2137, 2137, -w - 7]', '[2137, 2137, -w^3 + w^2 + 5*w - 7]', '[2143, 2143, w^3 - w^2 - 3]', '[2143, 2143, -5*w^3 + 5*w^2 + 24*w + 3]', '[2143, 2143, 6*w^3 - 4*w^2 - 30*w - 11]', '[2143, 2143, 3*w^2 - w - 15]', '[2153, 2153, -w^3 + 6*w^2 + 2*w - 19]', '[2153, 2153, 7*w^3 - 12*w^2 - 26*w + 11]', '[2159, 2159, -6*w^3 + 8*w^2 + 26*w - 5]', '[2159, 2159, -2*w^2 - 2*w + 7]', '[2159, 2159, 6*w^3 - 5*w^2 - 28*w + 1]', '[2159, 2159, 3*w^3 - 6*w^2 - 9*w + 17]', '[2161, 2161, -2*w^3 + 6*w^2 + 5*w - 13]', '[2161, 2161, -8*w^3 + 11*w^2 + 29*w - 9]', '[2161, 2161, 5*w^3 - 2*w^2 - 23*w - 9]', '[2161, 2161, 3*w^3 - 7*w^2 - 9*w + 11]', '[2174, 2174, -5*w^3 + 5*w^2 + 17*w - 8]', '[2174, 2174, -10*w^3 + 13*w^2 + 37*w - 14]', '[2174, 2174, 6*w^3 - 8*w^2 - 25*w + 4]', '[2174, 2174, -2*w^3 - w^2 + 9*w - 2]', '[2176, 68, -6*w^3 + 4*w^2 + 28*w + 8]', '[2177, 2177, 7*w^3 - 4*w^2 - 33*w - 9]', '[2177, 2177, -w^3 + 3*w - 5]', '[2177, 2177, -4*w^3 + 5*w^2 + 17*w - 11]', '[2177, 2177, 8*w^3 - 11*w^2 - 27*w + 9]', '[2191, 2191, -3*w^3 - w^2 + 18*w + 13]', '[2191, 2191, -2*w^3 + 3*w^2 + 4*w - 11]', '[2191, 2191, 7*w^3 - 12*w^2 - 22*w + 13]', '[2191, 2191, 2*w^3 - 10*w + 1]', '[2194, 2194, -3*w^3 + 4*w^2 + 17*w - 2]', '[2194, 2194, 4*w^3 - 5*w^2 - 21*w + 4]', '[2194, 2194, -4*w^3 + 9*w^2 + 21*w - 10]', '[2194, 2194, -7*w^3 + 13*w^2 + 31*w - 12]', '[2201, 2201, -2*w^3 + 7*w^2 + 5*w - 21]', '[2201, 2201, -2*w^3 + w^2 + 13*w + 3]', '[2201, 2201, -w^3 + 9*w + 3]', '[2201, 2201, -5*w^3 + 10*w^2 + 17*w - 9]', '[2206, 2206, 3*w^2 + w - 10]', '[2206, 2206, -8*w^3 + 10*w^2 + 33*w - 4]', '[2206, 2206, 7*w^3 - 10*w^2 - 29*w + 8]', '[2206, 2206, -6*w^3 + 8*w^2 + 23*w - 12]', '[2207, 2207, 12*w^3 - 11*w^2 - 56*w + 1]', '[2207, 2207, -w^3 - 3*w^2 + 9*w + 11]', '[2209, 47, -w^3 + w^2 + 4*w - 7]', '[2209, 47, w^3 - w^2 - 4*w - 7]', '[2212, 1106, 5*w^3 - 5*w^2 - 24*w + 10]', '[2212, 1106, w^3 - w^2 + 10]', '[2212, 1106, -7*w^3 + 7*w^2 + 30*w - 4]', '[2212, 1106, -5*w^3 + 5*w^2 + 18*w - 4]', '[2231, 2231, -2*w^2 - w + 9]', '[2231, 2231, 5*w^3 - 7*w^2 - 21*w + 3]', '[2231, 2231, -7*w^3 + 10*w^2 + 28*w - 7]', '[2231, 2231, w^3 + 2*w^2 - 4*w - 11]', '[2239, 2239, 5*w^3 - 7*w^2 - 17*w + 9]', '[2239, 2239, 4*w^3 - 2*w^2 - 19*w - 3]', '[2254, 322, 7*w^3 - 9*w^2 - 27*w + 12]', '[2254, 322, 5*w^3 - 9*w^2 - 15*w + 12]', '[2254, 322, -2*w^3 - 2*w^2 + 13*w + 12]', '[2254, 322, -4*w^3 + 2*w^2 + 17*w]', '[2254, 2254, -4*w^3 - w^2 + 23*w + 18]', '[2254, 2254, 5*w^3 - 6*w^2 - 21*w - 2]', '[2254, 2254, 2*w^3 - w^2 - 7*w - 8]', '[2254, 2254, 7*w^3 - 12*w^2 - 21*w + 12]', '[2258, 2258, 3*w^3 - 7*w^2 - 3*w + 4]', '[2258, 2258, -2*w^3 + 4*w^2 + 5*w + 2]', '[2263, 2263, 2*w^3 - 3*w^2 - 4*w + 9]', '[2263, 2263, -8*w^3 + 12*w^2 + 26*w - 11]', '[2263, 2263, 6*w^3 - 2*w^2 - 30*w - 13]', '[2263, 2263, -4*w^3 + 3*w^2 + 20*w - 3]', '[2268, 42, -3*w^2 + 12]', '[2268, 42, -6*w^3 + 9*w^2 + 24*w - 6]', '[2272, 284, -2*w^3 + 10*w]', '[2272, 284, -6*w^3 + 8*w^2 + 18*w - 8]', '[2273, 2273, -w^3 + 5*w^2 + 2*w - 11]', '[2273, 2273, 4*w^3 - 3*w^2 - 15*w - 3]', '[2276, 1138, 6*w^3 - 7*w^2 - 22*w + 6]', '[2276, 1138, -5*w^3 + 3*w^2 + 22*w + 10]', '[2276, 1138, -6*w^3 + 5*w^2 + 26*w]', '[2276, 1138, 3*w^3 - 3*w^2 - 14*w + 8]', '[2281, 2281, -4*w^3 + 4*w^2 + 21*w - 1]', '[2281, 2281, -w^3 + w^2 + 9*w + 1]', '[2296, 574, 7*w^3 - 8*w^2 - 28*w - 6]', '[2296, 574, 7*w^3 - 8*w^2 - 24*w - 4]', '[2296, 574, 9*w^3 - 8*w^2 - 40*w - 10]', '[2296, 574, 5*w^3 - 4*w^2 - 20*w - 12]', '[2297, 2297, w^3 + w^2 - 10*w - 9]', '[2297, 2297, w^3 + w^2 - 10*w - 3]', '[2297, 2297, -6*w^3 + 9*w^2 + 25*w - 19]', '[2297, 2297, 2*w^2 - 4*w - 15]', '[2302, 2302, w^3 - 5*w^2 - w + 2]', '[2302, 2302, 4*w^3 - 5*w^2 - 13*w + 8]', '[2306, 2306, -7*w^3 + 14*w^2 + 31*w - 12]', '[2306, 2306, -5*w^3 + 10*w^2 + 25*w - 12]', '[2311, 2311, -3*w^3 + 5*w^2 + 8*w - 9]', '[2311, 2311, -4*w^3 + 6*w^2 + 17*w - 1]', '[2311, 2311, -w^3 + 3*w^2 + 5*w - 11]', '[2311, 2311, -3*w^3 + w^2 + 16*w + 3]', '[2312, 34, -w^3 + 2*w^2 + 10*w - 2]', '[2312, 34, -w^3 + 2*w^2 - 2*w - 2]', '[2336, 292, -8*w^3 + 14*w^2 + 30*w - 12]', '[2336, 292, 2*w^3 - 6*w^2 - 10*w + 8]', '[2338, 2338, 3*w^3 - 2*w^2 - 19*w + 4]', '[2338, 2338, -2*w^3 + 4*w^2 + 7*w - 14]', '[2338, 2338, -6*w^3 + 11*w^2 + 21*w - 10]', '[2338, 2338, 9*w^3 - 12*w^2 - 35*w + 10]', '[2351, 2351, 3*w^3 - 3*w^2 - 8*w + 7]', '[2351, 2351, 7*w^3 - 7*w^2 - 32*w + 7]', '[2359, 2359, -w^3 - w^2 + 4*w + 11]', '[2359, 2359, -9*w^3 + 14*w^2 + 32*w - 9]', '[2359, 2359, -4*w^3 + 5*w^2 + 22*w + 3]', '[2359, 2359, 2*w^3 - 4*w^2 - 12*w + 7]', '[2366, 182, w^3 - w^2 - w - 6]', '[2366, 182, 3*w^2 - w - 16]', '[2366, 182, 5*w^3 - 8*w^2 - 19*w + 2]', '[2366, 182, 4*w^3 - 4*w^2 - 19*w - 6]', '[2369, 2369, -7*w^3 + 11*w^2 + 28*w - 13]', '[2369, 2369, -5*w^3 + 4*w^2 + 26*w + 1]', '[2369, 2369, 2*w^3 - 2*w^2 - 13*w + 1]', '[2369, 2369, -3*w^3 + 7*w^2 + 10*w - 15]', '[2369, 2369, 3*w^3 - 3*w^2 - 17*w - 1]', '[2369, 2369, 3*w^3 - 7*w^2 - 10*w + 9]', '[2369, 2369, -w^3 + 5*w^2 + 4*w - 11]', '[2369, 2369, -w^3 + 2*w^2 - 2*w - 5]', '[2372, 1186, -5*w^3 + 9*w^2 + 22*w - 14]', '[2372, 1186, -5*w^3 + 9*w^2 + 22*w - 10]', '[2372, 1186, -7*w^3 + 7*w^2 + 26*w - 8]', '[2372, 1186, -6*w^3 + 5*w^2 + 20*w - 6]', '[2377, 2377, 6*w^3 - 10*w^2 - 25*w + 11]', '[2377, 2377, -3*w^3 + 7*w^2 + 13*w - 13]', '[2383, 2383, -3*w^3 + 14*w + 15]', '[2383, 2383, 5*w^3 - w^2 - 24*w - 11]', '[2386, 2386, -6*w^3 + 7*w^2 + 21*w - 6]', '[2386, 2386, -5*w^3 + 5*w^2 + 17*w - 4]', '[2396, 1198, -w^2 + 6*w - 4]', '[2396, 1198, -2*w^3 + 3*w^2 + 14*w - 6]', '[2396, 1198, 3*w^3 - 7*w^2 - 14*w + 2]', '[2396, 1198, -3*w^3 + 3*w^2 + 8*w + 2]', '[2401, 7, 7]', '[2401, 49, 5*w^3 - 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3]', '[3969, 147, -3*w^3 + 3*w^2 + 18*w + 3]', '[3976, 994, -3*w^3 + 6*w^2 + 4*w - 8]', '[3976, 994, w^3 - 6*w^2 + 16]', '[3976, 994, -5*w^3 + 10*w^2 + 16*w - 14]', '[3976, 994, -5*w^3 + 2*w^2 + 28*w + 10]', '[3977, 3977, -w^3 + 6*w^2 - 17]', '[3977, 3977, -8*w^3 + 14*w^2 + 27*w - 15]', '[3977, 3977, -w^3 - 5*w^2 + 9*w + 21]', '[3977, 3977, -5*w^3 + 10*w^2 + 16*w - 13]', '[3983, 3983, -5*w^3 + 8*w^2 + 24*w - 13]', '[3983, 3983, 3*w^3 - 3*w^2 - 9*w - 5]', '[3983, 3983, 2*w^3 - w^2 - 6*w - 7]', '[3983, 3983, 3*w^3 - 7*w^2 - 12*w + 23]', '[3983, 3983, 7*w^3 - 7*w^2 - 36*w - 5]', '[3983, 3983, 6*w^3 - 2*w^2 - 33*w - 23]', '[3983, 3983, -6*w^3 + 6*w^2 + 27*w + 5]', '[3983, 3983, 8*w^3 - 9*w^2 - 35*w + 1]', '[3986, 3986, 8*w^3 - 16*w^2 - 29*w + 12]', '[3986, 3986, -4*w^3 + 8*w^2 + 17*w - 12]', '[3986, 3986, 8*w^3 - 6*w^2 - 29*w + 8]', '[3986, 3986, 4*w^3 - 5*w^2 - 17*w + 12]', '[3998, 3998, 8*w^3 - 13*w^2 - 39*w + 12]', '[3998, 3998, w^3 - 5*w^2 - 15*w + 6]', '[4001, 4001, w^3 + 2*w^2 - 11*w - 9]', '[4001, 4001, 3*w^2 - 7*w - 9]', '[4007, 4007, 3*w^3 - 5*w^2 - 8*w + 11]', '[4007, 4007, -3*w^3 + w^2 + 16*w + 1]', '[4018, 574, -10*w^3 + 14*w^2 + 35*w - 4]', '[4018, 574, -8*w^3 + 10*w^2 + 31*w - 8]', '[4018, 574, -12*w^3 + 18*w^2 + 37*w - 8]', '[4018, 574, -6*w^3 + 6*w^2 + 17*w - 4]', '[4018, 4018, 5*w^2 - 9*w - 16]', '[4018, 4018, -5*w^3 + 10*w^2 + 9*w - 14]', '[4018, 4018, 6*w^3 - w^2 - 35*w - 16]', '[4018, 4018, -w^3 + 6*w^2 - 5*w - 14]', '[4024, 1006, 5*w^3 - 6*w^2 - 22*w - 6]', '[4024, 1006, -w^3 - 4*w^2 + 10*w + 14]', '[4034, 4034, -7*w^3 + 12*w^2 + 27*w - 12]', '[4034, 4034, 3*w^3 - 8*w^2 - 13*w + 8]', '[4036, 2018, 3*w^3 - 7*w^2 - 12*w + 12]', '[4036, 2018, -5*w^3 + 9*w^2 + 20*w - 12]', '[4046, 238, 7*w^3 - 10*w^2 - 27*w + 16]', '[4046, 238, -4*w^3 + 2*w^2 + 21*w + 2]', '[4046, 238, -2*w^3 - w^2 + 9*w + 2]', '[4046, 238, 3*w^3 - 5*w^2 - 7*w + 10]', '[4049, 4049, 2*w^3 - 2*w^2 - 7*w - 9]', '[4049, 4049, 3*w^3 - 3*w^2 - 13*w - 9]', '[4057, 4057, -6*w^3 + 6*w^2 + 22*w - 5]', '[4057, 4057, -8*w^3 + 8*w^2 + 34*w - 5]', '[4064, 508, -6*w + 4]', '[4064, 508, -6*w^3 + 8*w^2 + 22*w - 12]', '[4064, 508, -4*w^3 + 8*w^2 + 18*w - 4]', '[4064, 508, -4*w^3 + 2*w^2 + 18*w]', '[4073, 4073, 5*w^3 - 4*w^2 - 20*w - 1]', '[4073, 4073, 7*w^3 - 8*w^2 - 28*w + 5]', '[4078, 4078, -w^3 - w^2 - w + 4]', '[4078, 4078, 8*w^3 - 13*w^2 - 31*w + 10]', '[4078, 4078, 8*w^3 - 12*w^2 - 33*w + 10]', '[4078, 4078, -2*w^3 + w + 2]', '[4088, 1022, w^3 - 6*w^2 + 2*w + 24]', '[4088, 1022, -9*w^3 + 14*w^2 + 32*w - 16]', '[4088, 1022, -3*w^3 - 2*w^2 + 16*w + 14]', '[4088, 1022, -3*w^3 + 8*w^2 + 6*w - 6]', '[4094, 4094, 5*w^2 - 5*w - 12]', '[4094, 4094, -w^3 + 7*w^2 - 3*w - 26]', '[4094, 4094, 6*w^3 - 13*w^2 - 11*w + 20]', '[4094, 4094, -w^3 - 7*w^2 + 15*w + 26]', '[4094, 4094, -6*w^3 + 14*w^2 + 13*w - 22]', '[4094, 4094, 5*w^3 + 2*w^2 - 33*w - 22]', '[4094, 4094, 4*w^3 - 7*w^2 - 13*w + 18]', '[4094, 4094, -8*w^3 + 8*w^2 + 37*w - 8]', '[4096, 8, 8]', '[4097, 4097, -w^3 - w^2 + 7*w + 15]', '[4097, 4097, -w^3 + 6*w^2 - 27]', '[4111, 4111, 5*w^3 - 6*w^2 - 23*w - 1]', '[4111, 4111, w^2 + 3*w - 7]', '[4124, 2062, w^3 - 3*w^2 - 6*w + 10]', '[4124, 2062, 5*w^3 - 7*w^2 - 22*w + 2]', '[4126, 4126, 6*w^3 - 7*w^2 - 21*w + 10]', '[4126, 4126, -w^3 - 3*w^2 + 5*w]', '[4127, 4127, -8*w^3 + 11*w^2 + 35*w - 9]', '[4127, 4127, 5*w^3 - 5*w^2 - 23*w - 7]', '[4127, 4127, -3*w^3 + 4*w^2 + 17*w - 9]', '[4127, 4127, 4*w^3 - 5*w^2 - 21*w - 3]', '[4129, 4129, -9*w^3 + 13*w^2 + 37*w - 25]', '[4129, 4129, 4*w^2 - 8*w - 13]', '[4129, 4129, 4*w^2 - 8*w - 11]', '[4129, 4129, -3*w^3 + 4*w^2 + 10*w - 13]', '[4132, 2066, 4*w^3 - 9*w^2 - 12*w + 16]', '[4132, 2066, 2*w^3 - 7*w^2 - 4*w + 14]', '[4132, 2066, 5*w^3 - 5*w^2 - 26*w]', '[4132, 2066, -w^3 + w^2 + 10*w]', '[4151, 4151, -9*w^3 + 9*w^2 + 39*w - 11]', '[4151, 4151, -6*w^3 + 10*w^2 + 22*w - 19]', '[4151, 4151, -2*w^2 - 3*w + 7]', '[4151, 4151, -w^3 - w^2 + 5]', '[4151, 4151, 6*w^3 - 8*w^2 - 21*w + 19]', '[4151, 4151, 2*w^3 + w^2 - 11*w - 5]', '[4151, 4151, -9*w^3 + 11*w^2 + 40*w - 7]', '[4151, 4151, -7*w^3 + 9*w^2 + 31*w - 5]', '[4153, 4153, 3*w^3 - 6*w^2 - 11*w + 19]', '[4153, 4153, 3*w^2 - 4*w - 19]', '[4156, 2078, 3*w^3 - w^2 - 18*w + 4]', '[4156, 2078, -4*w^3 + 3*w^2 + 8*w - 6]', '[4156, 2078, -w^2 - 6*w + 4]', '[4156, 2078, -5*w^3 + 9*w^2 + 22*w - 6]', '[4159, 4159, -w^3 + 2*w^2 + 7*w - 11]', '[4159, 4159, 4*w^3 - 5*w^2 - 19*w - 5]', '[4162, 4162, w^3 - w^2 + 3*w + 2]', '[4162, 4162, -w^2 + 7*w]', '[4168, 1042, w^3 - 4*w - 12]', '[4168, 1042, 3*w^3 - 4*w^2 - 12*w - 6]', '[4174, 4174, -4*w^3 + 5*w^2 + 11*w - 8]', '[4174, 4174, w^3 - 5*w^2 + w + 2]', '[4174, 4174, -w^3 + 3*w^2 + 9*w - 6]', '[4174, 4174, 6*w^3 - 11*w^2 - 25*w + 8]', '[4177, 4177, -5*w^3 + 5*w^2 + 26*w - 3]', '[4177, 4177, -w^3 + w^2 + 10*w + 3]', '[4193, 4193, w^3 - 2*w^2 - 7*w - 7]', '[4193, 4193, 6*w^3 - 4*w^2 - 26*w - 11]', '[4193, 4193, 8*w^3 - 10*w^2 - 30*w + 1]', '[4193, 4193, 6*w^3 - 7*w^2 - 22*w + 3]', '[4193, 4193, 8*w^3 - 11*w^2 - 25*w + 7]', '[4193, 4193, -w^3 + 2*w^2 + 7*w - 15]', '[4193, 4193, -4*w^3 + 5*w^2 + 19*w - 13]', '[4193, 4193, 4*w^3 - 5*w^2 - 19*w - 9]', '[4196, 2098, 3*w^2 - 2*w + 2]', '[4196, 2098, w^3 + w^2 - 4*w + 4]', '[4207, 4207, 4*w^3 - 6*w^2 - 18*w - 1]', '[4207, 4207, 4*w^3 + 3*w^2 - 20*w - 25]', '[4207, 4207, -14*w^3 + 21*w^2 + 52*w - 17]', '[4207, 4207, 2*w^3 - 4*w^2 - 10*w + 13]', '[4208, 526, -4*w^3 + 2*w^2 + 20*w + 2]', '[4208, 526, -4*w^3 + 6*w^2 + 18*w + 2]', '[4208, 526, -2*w^3 + 4*w^2 + 10*w - 14]', '[4208, 526, 4*w^3 - 6*w^2 - 12*w + 10]', '[4216, 1054, -3*w^3 + 6*w^2 + 8*w - 14]', '[4216, 1054, -w^3 - 2*w^2 + 8*w + 4]', '[4217, 4217, -w^3 + 3*w^2 - 3*w - 3]', '[4217, 4217, 4*w^3 - 2*w^2 - 23*w - 9]', '[4217, 4217, 5*w^3 - 4*w^2 - 22*w + 9]', '[4217, 4217, 8*w^3 - 14*w^2 - 31*w + 27]', '[4222, 4222, 10*w^3 - 17*w^2 - 39*w + 14]', '[4222, 4222, w^3 - 5*w^2 - 9*w + 8]', '[4223, 4223, -4*w^3 + 6*w^2 + 10*w - 9]', '[4223, 4223, -5*w^3 + 4*w^2 + 24*w - 5]', '[4223, 4223, 6*w^3 - 4*w^2 - 30*w - 3]', '[4223, 4223, -7*w^3 + 7*w^2 + 31*w + 5]', '[4223, 4223, w^3 - w^2 - 5]', '[4223, 4223, -8*w^3 + 7*w^2 + 40*w + 7]', '[4223, 4223, -2*w^3 - 3*w^2 + 14*w + 15]', '[4223, 4223, -5*w^3 + 5*w^2 + 24*w + 5]', '[4226, 4226, -5*w^3 + 10*w^2 + 17*w - 18]', '[4226, 4226, -8*w^3 + 10*w^2 + 31*w - 4]', '[4228, 2114, -3*w^3 + 5*w^2 + 10*w - 16]', '[4228, 2114, 6*w^3 - 5*w^2 - 26*w - 4]', '[4228, 2114, -5*w^3 + 3*w^2 + 20*w + 2]', '[4228, 2114, -2*w^3 - w^2 + 14*w + 20]', '[4228, 2114, 9*w^3 - 11*w^2 - 36*w + 10]', '[4228, 2114, 2*w^3 - 5*w^2 - 2*w - 2]', '[4228, 2114, w^3 + w^2 - 6*w + 4]', '[4228, 2114, -6*w^3 + 7*w^2 + 22*w - 2]', '[4232, 46, 3*w^3 - 6*w^2 - 4*w + 6]', '[4232, 46, -5*w^3 + 10*w^2 + 18*w - 10]', '[4232, 1058, 5*w^3 - 4*w^2 - 20*w - 4]', '[4232, 1058, 7*w^3 - 8*w^2 - 28*w + 2]', '[4241, 4241, 3*w^3 - 8*w^2 - 9*w + 11]', '[4241, 4241, -4*w^3 + 9*w^2 + 13*w - 19]', '[4241, 4241, 6*w^3 - 11*w^2 - 22*w + 11]', '[4241, 4241, -2*w^3 + 7*w^2 + 6*w - 19]', '[4249, 4249, -2*w^3 + 3*w^2 + 14*w - 1]', '[4249, 4249, -6*w^3 + 7*w^2 + 30*w - 5]', '[4249, 4249, -6*w^2 + 17]', '[4249, 4249, 12*w^3 - 18*w^2 - 48*w + 19]', '[4271, 4271, -5*w^3 + 7*w^2 + 15*w - 9]', '[4271, 4271, -6*w^3 + 4*w^2 + 29*w + 3]', '[4271, 4271, -w^3 + 4*w^2 + 4*w - 17]', '[4271, 4271, 5*w^3 - 8*w^2 - 20*w + 1]', '[4273, 4273, -4*w^3 + 5*w^2 + 15*w - 13]', '[4273, 4273, 8*w^3 - 12*w^2 - 32*w + 25]', '[4274, 4274, w^2 + 7*w]', '[4274, 4274, -w^3 + w^2 + 11*w - 2]', '[4286, 4286, w^3 - 6*w^2 - w + 2]', '[4286, 4286, -5*w^3 + 6*w^2 + 17*w - 10]', '[4286, 4286, w^3 + 4*w^2 - 11*w - 14]', '[4286, 4286, -4*w^3 + 9*w^2 + 9*w - 16]', '[4289, 4289, -2*w^3 + 4*w^2 + 7*w - 15]', '[4289, 4289, w^3 - 3*w^2 - 3*w - 3]', '[4306, 4306, 12*w^3 - 16*w^2 - 39*w + 14]', '[4306, 4306, -6*w^3 + 4*w^2 + 23*w - 2]', '[4318, 4318, -6*w^3 + 3*w^2 + 31*w + 8]', '[4318, 4318, -5*w^2 + 7*w + 24]', '[4318, 4318, 5*w^3 - 8*w^2 - 25*w + 12]', '[4318, 4318, -3*w^3 - 8*w^2 + 23*w + 50]', '[4319, 4319, 3*w^3 - 4*w^2 - 18*w - 7]', '[4319, 4319, 3*w^3 - 3*w^2 - 6*w - 1]', '[4319, 4319, 9*w^3 - 9*w^2 - 42*w - 1]', '[4319, 4319, -5*w^3 + 6*w^2 + 26*w - 13]', '[4322, 4322, -11*w^3 + 19*w^2 + 41*w - 16]', '[4322, 4322, 2*w^3 - 7*w^2 - 11*w + 10]', '[4322, 4322, -6*w^3 + 7*w^2 + 21*w - 4]', '[4322, 4322, 7*w^3 - 9*w^2 - 23*w + 6]', '[4348, 2174, -2*w^3 + 5*w^2 + 10*w - 12]', '[4348, 2174, -4*w^3 + 5*w^2 + 22*w - 10]', '[4348, 2174, 8*w^3 - 11*w^2 - 28*w + 12]', '[4348, 2174, -6*w^3 + 9*w^2 + 26*w - 6]', '[4352, 68, -4*w^3 + 8*w^2 + 16*w - 12]', '[4354, 4354, -4*w^3 + 10*w^2 + 13*w - 26]', '[4354, 4354, 2*w^2 - 7*w - 2]', '[4354, 4354, 3*w^3 - w^2 - 19*w - 10]', '[4354, 4354, -5*w^3 + 11*w^2 + 17*w - 10]', '[4361, 623, -5*w^3 + 12*w^2 + 13*w - 15]', '[4361, 623, -8*w^3 + 13*w^2 + 24*w - 1]', '[4361, 623, 10*w^3 - 9*w^2 - 44*w + 3]', '[4361, 623, -6*w^3 + 7*w^2 + 21*w - 1]', '[4361, 623, 10*w^3 - 17*w^2 - 33*w + 5]', '[4361, 623, -w^3 + 3*w^2 - 4*w - 1]', '[4361, 623, -7*w^3 + 9*w^2 + 29*w - 17]', '[4361, 623, 11*w^3 - 12*w^2 - 47*w + 11]', '[4361, 4361, 5*w^3 - 10*w^2 - 21*w + 19]', '[4361, 4361, w^3 - 8*w^2 + 4*w + 23]', '[4361, 4361, 11*w^3 - 16*w^2 - 47*w + 21]', '[4361, 4361, -5*w^3 + 12*w^2 + 12*w - 19]', '[4361, 4361, 2*w^2 - 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12]', '[4414, 4414, 8*w^3 - 8*w^2 - 37*w - 2]', '[4414, 4414, 3*w^3 - 3*w^2 - 7*w - 2]', '[4418, 94, w^3 - 2*w^2 + 3*w + 2]', '[4418, 94, -w^3 + 2*w^2 + 11*w - 2]', '[4423, 4423, -2*w^3 - w^2 + 15*w + 3]', '[4423, 4423, -w^3 + 4*w^2 - 3*w - 15]', '[4424, 1106, 9*w^3 - 14*w^2 - 36*w + 20]', '[4424, 1106, w^3 - 6*w^2 - 4*w + 10]', '[4424, 1106, -w^3 + 10*w + 2]', '[4424, 1106, -3*w^3 + 2*w^2 + 18*w + 4]', '[4439, 4439, -3*w^3 + 9*w^2 + 6*w - 11]', '[4439, 4439, -w^3 + 6*w^2 - 2*w - 11]', '[4439, 4439, -3*w^3 + 8*w^2 + 6*w - 19]', '[4439, 4439, -3*w^3 + 9*w^2 + 6*w - 25]', '[4441, 4441, 5*w^3 - 6*w^2 - 26*w + 3]', '[4441, 4441, -4*w^3 + 4*w^2 + 22*w - 3]', '[4441, 4441, 3*w^3 - 4*w^2 - 18*w + 3]', '[4441, 4441, 2*w^3 - 2*w^2 - 14*w - 3]', '[4447, 4447, -5*w^3 + 6*w^2 + 22*w + 3]', '[4447, 4447, w^3 - 2*w - 9]', '[4457, 4457, -2*w^3 + 7*w^2 + 5*w - 19]', '[4457, 4457, 5*w^3 - 10*w^2 - 17*w + 11]', '[4462, 4462, 5*w^3 - 9*w^2 - 13*w + 12]', '[4462, 4462, -4*w^3 + w^2 + 23*w + 6]', '[4462, 4462, -3*w^3 + 6*w^2 + 5*w - 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w^2 - 8*w - 13]', '[5084, 2542, 6*w^3 - 5*w^2 - 28*w - 12]', '[5084, 2542, 10*w^3 - 7*w^2 - 48*w - 16]', '[5084, 2542, -8*w^3 + 11*w^2 + 24*w - 2]', '[5084, 2542, -4*w^3 + 5*w^2 + 12*w + 6]', '[5086, 5086, 4*w^3 - 4*w^2 - 11*w + 8]', '[5086, 5086, -4*w^2 + 5*w]', '[5087, 5087, w^3 + 3*w^2 - 6*w - 23]', '[5087, 5087, 13*w^3 - 13*w^2 - 60*w + 7]', '[5087, 5087, 6*w^3 - 8*w^2 - 17*w + 1]', '[5087, 5087, 9*w^3 - 7*w^2 - 43*w - 11]', '[5113, 5113, -6*w^3 + 5*w^2 + 31*w + 3]', '[5113, 5113, -w^3 + 6*w^2 + w - 15]', '[5113, 5113, 6*w^3 - 4*w^2 - 32*w - 9]', '[5113, 5113, 5*w^3 - 4*w^2 - 18*w - 3]', '[5116, 2558, -2*w^3 + w^2 + 6*w + 8]', '[5116, 2558, -w^2 - 4*w + 6]', '[5116, 2558, -6*w^3 + 7*w^2 + 26*w + 2]', '[5116, 2558, -6*w^3 + 7*w^2 + 28*w]', '[5128, 1282, w^3 - 4*w^2 + 4*w + 4]', '[5128, 1282, 3*w^3 - 6*w^2 - 12*w + 20]', '[5134, 5134, -6*w^3 + 6*w^2 + 29*w + 4]', '[5134, 5134, -4*w^3 - 3*w^2 + 23*w + 32]', '[5134, 5134, -3*w^3 + 8*w^2 + 11*w - 24]', '[5134, 5134, 8*w^3 - 7*w^2 - 37*w - 8]', '[5138, 5138, -2*w^3 - 5*w^2 + 13*w + 24]', '[5138, 5138, -2*w^3 - w^2 + 7*w - 4]', '[5138, 5138, 9*w^3 - 14*w^2 - 39*w + 20]', '[5138, 5138, w^3 - 3*w^2 + 3*w + 6]', '[5152, 644, -6*w^3 + 4*w^2 + 26*w + 4]', '[5152, 644, -8*w^3 + 10*w^2 + 30*w - 8]', '[5152, 644, 2*w^3 - 2*w^2 - 14*w]', '[5152, 644, 4*w^3 - 4*w^2 - 22*w]', '[5153, 5153, 5*w^3 - 5*w^2 - 27*w - 3]', '[5153, 5153, -8*w^3 + 9*w^2 + 32*w + 1]', '[5153, 5153, 11*w^3 - 12*w^2 - 52*w + 7]', '[5153, 5153, -6*w^3 + 5*w^2 + 24*w + 7]', '[5156, 2578, -10*w^3 + 13*w^2 + 36*w - 12]', '[5156, 2578, -5*w^3 + 3*w^2 + 16*w - 2]', '[5177, 5177, 7*w^3 - 8*w^2 - 35*w + 9]', '[5177, 5177, 8*w^3 - 8*w^2 - 34*w - 3]', '[5177, 5177, 10*w^3 - 17*w^2 - 37*w + 15]', '[5177, 5177, -2*w^3 + 3*w^2 + 5*w + 7]', '[5182, 5182, -8*w^3 + 11*w^2 + 31*w - 16]', '[5182, 5182, 8*w^3 - 11*w^2 - 37*w + 18]', '[5183, 5183, -8*w^3 + 12*w^2 + 29*w - 15]', '[5183, 5183, w^3 + 2*w^2 - 3*w - 11]', '[5183, 5183, 8*w^3 - 11*w^2 - 33*w + 7]', '[5183, 5183, 3*w^3 + w^2 - 15*w - 9]', '[5184, 12, -6*w^3 + 6*w^2 + 24*w]', '[5188, 2594, 7*w^3 - 5*w^2 - 32*w - 8]', '[5188, 2594, -3*w^3 + w^2 + 12*w - 6]', '[5198, 5198, 6*w^3 - 4*w^2 - 25*w - 16]', '[5198, 5198, -w^2 - 3*w + 8]', '[5198, 5198, 9*w^3 - 14*w^2 - 33*w]', '[5198, 5198, -2*w^3 + 6*w^2 + 3*w - 20]', '[5201, 5201, w^3 - 6*w^2 - 2*w + 13]', '[5201, 5201, 5*w^3 - 9*w^2 - 10*w + 7]', '[5201, 5201, w^3 - 3*w^2 + 3*w + 5]', '[5201, 5201, 7*w^3 - 12*w^2 - 26*w + 17]', '[5207, 5207, -4*w^3 + 19*w + 9]', '[5207, 5207, -3*w^3 + 5*w^2 + 8*w - 13]', '[5207, 5207, w^3 - 5]', '[5207, 5207, 6*w^3 - 9*w^2 - 21*w + 13]', '[5207, 5207, 3*w^3 - w^2 - 16*w + 1]', '[5207, 5207, -11*w^3 + 17*w^2 + 44*w - 31]', '[5207, 5207, 3*w^3 - 15*w - 5]', '[5207, 5207, 7*w^3 - 8*w^2 - 32*w + 1]', '[5209, 5209, 8*w^3 - 14*w^2 - 29*w + 13]', '[5209, 5209, -4*w^3 + 9*w^2 + 6*w - 13]', '[5212, 2606, -w^3 + w^2 + 6]', '[5212, 2606, -5*w^3 + 5*w^2 + 24*w + 6]', '[5231, 5231, -7*w^3 + 8*w^2 + 33*w - 1]', '[5231, 5231, -4*w^3 + 9*w^2 + 16*w - 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10*w^2 - 34*w + 4]', '[5344, 668, 12*w^3 - 16*w^2 - 42*w + 16]', '[5359, 5359, -w^3 + 5*w^2 - 2*w - 21]', '[5359, 5359, -9*w^2 + 11*w + 37]', '[5359, 5359, w^3 - 8*w^2 + 5*w + 19]', '[5359, 5359, 4*w^3 - 2*w^2 - 21*w - 1]', '[5362, 5362, 4*w^3 - 7*w^2 - 15*w - 2]', '[5362, 5362, -w^3 + 4*w^2 + 3*w - 20]', '[5362, 5362, 2*w^2 - 7*w - 8]', '[5362, 5362, 3*w^3 - w^2 - 19*w - 4]', '[5362, 5362, 6*w^3 - 5*w^2 - 25*w - 6]', '[5362, 5362, -3*w^3 + 8*w^2 + 9*w - 12]', '[5362, 5362, 7*w^3 - 8*w^2 - 27*w]', '[5362, 5362, -4*w^3 + 9*w^2 + 13*w - 18]', '[5372, 2686, -10*w^3 + 13*w^2 + 40*w - 18]', '[5372, 2686, 4*w^3 - w^2 - 16*w]', '[5374, 5374, 3*w^2 + w - 12]', '[5374, 5374, 7*w^3 - 10*w^2 - 29*w + 6]', '[5374, 5374, 2*w^3 - 7*w - 10]', '[5374, 5374, -7*w^3 + 9*w^2 + 29*w - 2]', '[5378, 5378, 7*w^3 - 14*w^2 - 23*w + 12]', '[5378, 5378, -5*w^3 + 10*w^2 + 17*w - 12]', '[5384, 1346, 9*w^3 - 10*w^2 - 36*w + 10]', '[5384, 1346, w^3 - 6*w - 12]', '[5392, 674, -8*w^3 + 10*w^2 + 30*w - 2]', '[5392, 674, 2*w^3 - 2*w^2 - 6*w + 10]', '[5393, 5393, -4*w^3 + w^2 + 24*w + 9]', '[5393, 5393, -6*w^3 + 6*w^2 + 23*w - 3]', '[5393, 5393, -2*w^3 + 5*w^2 - 9]', '[5393, 5393, -7*w^3 + 7*w^2 + 29*w - 3]', '[5399, 5399, w^3 + 2*w^2 - 10*w - 1]', '[5399, 5399, -w^3 + 4*w^2 - 2*w - 17]', '[5404, 2702, -3*w^3 - w^2 + 16*w + 10]', '[5404, 2702, 7*w^3 - 11*w^2 - 22*w + 12]', '[5404, 2702, -5*w^3 + w^2 + 26*w + 12]', '[5404, 2702, 7*w^3 - 11*w^2 - 24*w + 14]', '[5408, 52, -6*w^3 + 6*w^2 + 22*w - 4]', '[5408, 52, -8*w^3 + 10*w^2 + 26*w - 8]', '[5417, 5417, -2*w^3 + 3*w^2 + 10*w - 13]', '[5417, 5417, -2*w^3 + 3*w^2 + 10*w + 7]', '[5422, 5422, 4*w^3 - 6*w^2 - 11*w + 10]', '[5422, 5422, 4*w^3 - 7*w^2 - 11*w + 12]', '[5422, 5422, -9*w^3 + 10*w^2 + 31*w - 12]', '[5422, 5422, 3*w^3 - 17*w - 6]', '[5426, 5426, 5*w^3 - 4*w^2 - 19*w - 2]', '[5426, 5426, 8*w^3 - 9*w^2 - 33*w + 4]', '[5431, 5431, -4*w^3 + 2*w^2 + 20*w + 1]', '[5431, 5431, 6*w^3 - 5*w^2 - 29*w - 9]', '[5431, 5431, 3*w^3 - 4*w^2 - 7*w - 3]', '[5431, 5431, 4*w^3 - 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14]', '[9784, 2446, w^3 - 8*w^2 + 4*w]', '[9784, 2446, 5*w^3 - 10*w^2 - 16*w + 24]', '[9784, 2446, -w^3 + 6*w^2 - 6]', '[9784, 2446, -5*w^3 + 4*w^2 + 14*w - 12]', '[9791, 9791, 8*w^3 - 11*w^2 - 33*w + 5]', '[9791, 9791, w^3 + 2*w^2 - 3*w - 13]', '[9791, 9791, 7*w^3 - 7*w^2 - 33*w - 5]', '[9791, 9791, 2*w^3 - 2*w^2 - 3*w - 5]', '[9793, 9793, -2*w^3 + 2*w^2 + 11*w - 11]', '[9793, 9793, 10*w^3 - 14*w^2 - 33*w + 9]', '[9793, 9793, 7*w^3 - 8*w^2 - 24*w + 3]', '[9793, 9793, w^3 - w^2 - 7*w - 11]', '[9796, 4898, 3*w^3 - 3*w^2 - 20*w + 4]', '[9796, 4898, 11*w^3 - 17*w^2 - 46*w + 26]', '[9796, 4898, -3*w^3 + 9*w^2 + 14*w - 10]', '[9796, 4898, -5*w^3 + 5*w^2 + 28*w + 4]', '[9806, 9806, -9*w^3 + 14*w^2 + 39*w - 12]', '[9806, 9806, -w^3 - 2*w^2 - 5*w + 4]', '[9826, 34, 9*w^3 - 7*w^2 - 41*w - 6]', '[9826, 578, -9*w^3 + 5*w^2 + 43*w + 18]', '[9833, 9833, -7*w^3 + 9*w^2 + 28*w - 19]', '[9833, 9833, -3*w^3 + w^2 + 12*w - 7]', '[9838, 9838, -14*w^3 + 23*w^2 + 61*w - 22]', '[9838, 9838, 10*w^3 - 14*w^2 - 39*w + 20]', '[9839, 9839, 8*w^3 - 12*w^2 - 32*w + 7]', '[9839, 9839, 8*w^3 - 13*w^2 - 27*w + 17]', '[9839, 9839, 3*w^3 + 2*w^2 - 17*w - 13]', '[9839, 9839, 4*w^2 - 17]', '[9848, 2462, 11*w^3 - 14*w^2 - 48*w + 10]', '[9848, 2462, 7*w^3 - 6*w^2 - 34*w + 6]', '[9857, 9857, -8*w^3 + 8*w^2 + 40*w - 1]', '[9857, 9857, -8*w^3 + 7*w^2 + 41*w + 5]', '[9871, 9871, -14*w^3 + 22*w^2 + 56*w - 41]', '[9871, 9871, -4*w^3 - w^2 + 19*w + 11]', '[9872, 1234, 2*w^3 - 4*w^2 - 10*w - 6]', '[9872, 1234, -4*w^3 + 6*w^2 + 18*w - 18]', '[9874, 9874, -2*w^3 + 2*w^2 + 17*w - 4]', '[9874, 9874, 2*w^2 + 9*w]', '[9881, 9881, 5*w^3 - 11*w^2 - 16*w + 21]', '[9881, 9881, -9*w^3 + 12*w^2 + 29*w - 5]', '[9881, 9881, -10*w^3 + 7*w^2 + 47*w + 13]', '[9881, 9881, -3*w^3 + 9*w^2 + 8*w - 15]', '[9886, 9886, -4*w^3 + 15*w - 2]', '[9886, 9886, 10*w^3 - 12*w^2 - 35*w + 14]', '[9886, 9886, -8*w^3 + 14*w^2 + 37*w - 12]', '[9886, 9886, -2*w^3 + 6*w^2 + 17*w - 8]', '[9887, 9887, -7*w^3 + 10*w^2 + 25*w - 15]', '[9887, 9887, -4*w^3 + w^2 + 19*w + 3]', '[9902, 9902, -2*w^3 + 2*w^2 - w + 2]', '[9902, 9902, 5*w^3 - 9*w^2 - 23*w + 4]', '[9902, 9902, -6*w^3 + 10*w^2 + 27*w - 6]', '[9902, 9902, -2*w^3 + 3*w^2 - w + 2]', '[9913, 9913, -6*w^3 + 12*w^2 + 12*w - 13]', '[9913, 9913, -6*w^3 + 13*w^2 + 18*w - 23]', '[9913, 9913, 2*w^3 - 9*w^2 - 2*w + 19]', '[9913, 9913, -6*w^3 + 36*w + 23]', '[9928, 2482, 3*w^3 - 4*w^2 - 14*w + 14]', '[9928, 2482, 3*w^3 + 6*w^2 - 24*w - 46]', '[9929, 9929, -8*w^3 + 8*w^2 + 33*w + 3]', '[9929, 9929, 6*w^3 - 11*w^2 - 24*w + 17]', '[9929, 9929, 7*w^3 - 7*w^2 - 27*w - 3]', '[9929, 9929, -4*w^3 + 9*w^2 + 16*w - 13]', '[9934, 9934, w^3 + w^2 + w - 6]', '[9934, 9934, 10*w^3 - 17*w^2 - 37*w + 12]', '[9938, 9938, -6*w^3 + 5*w^2 + 21*w - 2]', '[9938, 9938, 11*w^3 - 15*w^2 - 37*w + 12]', '[9952, 1244, 10*w^3 - 12*w^2 - 30*w + 12]', '[9952, 1244, -6*w^3 + 4*w^2 + 26*w - 4]', '[9959, 9959, -9*w^3 + 3*w^2 + 48*w + 31]', '[9959, 9959, w^3 + 5*w^2 - 8*w - 29]', '[9959, 9959, w^3 - 2*w^2 - 8*w + 13]', '[9959, 9959, 4*w^3 + 3*w^2 - 24*w - 23]', '[9959, 9959, -5*w^3 + 20*w + 17]', '[9959, 9959, 5*w^3 - 6*w^2 - 24*w - 7]', '[9959, 9959, -9*w^3 + 15*w^2 + 32*w - 7]', '[9959, 9959, 2*w^3 + 10*w^2 - 22*w - 55]', '[9961, 9961, -5*w^3 + 11*w^2 + 20*w - 23]', '[9961, 9961, 7*w^3 - 13*w^2 - 28*w + 13]', '[9961, 9961, 7*w^3 - 8*w^2 - 36*w + 9]', '[9961, 9961, -3*w^3 + 4*w^2 + 20*w + 3]', '[9967, 9967, 2*w^3 - 7*w - 13]', '[9967, 9967, -7*w^3 + 9*w^2 + 29*w + 1]', '[9968, 1246, -6*w^3 + 6*w^2 + 28*w + 10]', '[9968, 1246, -8*w^3 + 8*w^2 + 30*w + 14]', '[9968, 1246, -2*w^3 - 2*w^2 + 10*w + 22]', '[9968, 1246, 10*w^3 - 10*w^2 - 36*w - 10]', '[9968, 1246, -4*w^3 + 10*w^2 + 16*w - 26]', '[9968, 1246, -14*w^3 + 14*w^2 + 60*w + 10]', '[9968, 1246, 10*w^3 - 10*w^2 - 42*w - 14]', '[9968, 1246, 12*w^3 - 16*w^2 - 52*w + 14]', '[9982, 9982, -7*w^3 + 6*w^2 + 33*w - 6]', '[9982, 9982, 10*w^3 - 11*w^2 - 47*w + 2]', '[9982, 9982, -w^3 - 3*w + 4]', '[9982, 9982, -4*w^3 + 5*w^2 + 11*w - 12]', '[9982, 9982, 8*w^3 - 10*w^2 - 37*w + 4]', '[9982, 9982, -2*w^3 - 2*w^2 + 9*w + 2]', '[9982, 9982, -9*w^3 + 13*w^2 + 35*w - 22]', '[9982, 9982, w^3 - 3*w^2 - 9*w + 8]', '[9986, 9986, -5*w^3 + 10*w^2 + 19*w - 16]', '[9986, 9986, -4*w^3 + 9*w^2 + 15*w - 14]', '[9991, 9991, w^3 + 6*w^2 - 14*w - 33]', '[9991, 9991, 10*w^3 - 13*w^2 - 36*w + 15]', '[9991, 9991, -5*w^3 + 8*w^2 + 16*w - 15]', '[9991, 9991, 3*w^3 - 16*w - 3]', '[9991, 9991, -8*w^3 + 12*w^2 + 30*w - 25]', '[9991, 9991, 10*w^3 - 9*w^2 - 45*w + 5]', '[9991, 9991, 8*w^3 - 12*w^2 - 29*w + 17]', '[9991, 9991, 3*w^3 + w^2 - 15*w - 7]', '[10000, 10, -10]'], 'label': '4.4.4352.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w]', '[7, 7, -w^3 + w^2 + 5*w + 1]', '[7, 7, -w + 1]', '[17, 17, -w^3 + 2*w^2 + 4*w - 3]', '[23, 23, -2*w^3 + 2*w^2 + 9*w + 1]', '[23, 23, -w^3 + w^2 + 3*w + 1]', '[31, 31, w^2 - w - 1]', '[31, 31, w^3 - 2*w^2 - 3*w + 5]', '[41, 41, w^3 - 3*w^2 - 2*w + 7]', '[41, 41, w^3 - 3*w^2 - 2*w + 5]', '[49, 7, 2*w^3 - 2*w^2 - 8*w - 1]', '[71, 71, -2*w^3 + 3*w^2 + 8*w - 1]', '[71, 71, w^2 - 5]', '[73, 73, -3*w^3 + 4*w^2 + 11*w - 3]', '[73, 73, 2*w^3 - w^2 - 9*w - 3]', '[79, 79, 3*w^3 - 4*w^2 - 13*w + 3]', '[79, 79, w^2 + w - 3]', '[81, 3, -3]', '[89, 89, -w^3 + 3*w^2 + 3*w - 11]', '[89, 89, 3*w^3 - 2*w^2 - 14*w - 3]', '[89, 89, -w^3 + 6*w + 7]', '[89, 89, 3*w^3 - 3*w^2 - 13*w + 1]', '[97, 97, -w^3 + 2*w^2 + 3*w - 7]', '[97, 97, 2*w^3 - 3*w^2 - 8*w + 7]', '[103, 103, -2*w^3 + 3*w^2 + 7*w - 7]', '[103, 103, w^3 - 5*w - 1]', '[103, 103, 4*w^3 - 4*w^2 - 18*w + 3]', '[103, 103, 2*w^3 - 3*w^2 - 7*w + 5]', '[113, 113, -4*w^3 + 5*w^2 + 15*w - 5]', '[113, 113, w^2 - 3*w - 1]', '[127, 127, -w^3 + 2*w^2 + 2*w - 5]', '[127, 127, 2*w^2 - w - 9]', '[127, 127, w^3 - 6*w - 1]', '[127, 127, -4*w^3 + 6*w^2 + 18*w - 9]', '[151, 151, -3*w^3 + 4*w^2 + 12*w - 1]', '[151, 151, 2*w^3 - 3*w^2 - 9*w + 1]', '[151, 151, w^3 - 4*w - 5]', '[151, 151, w^3 - 2*w^2 - 5*w + 5]', '[167, 167, 5*w^3 - 5*w^2 - 23*w + 3]', '[167, 167, 4*w^3 - 6*w^2 - 16*w + 5]', '[169, 13, -2*w^3 + 4*w^2 + 7*w - 5]', '[169, 13, -w^3 + 3*w^2 + 3*w - 7]', '[193, 193, w^2 - 3*w - 3]', '[193, 193, w^3 - 7*w - 3]', '[199, 199, 3*w^3 - 5*w^2 - 11*w + 9]', '[199, 199, 2*w^2 - w - 3]', '[233, 233, -2*w^3 + 5*w^2 + 7*w - 13]', '[233, 233, w^3 + w^2 - 8*w - 7]', '[241, 241, -2*w^3 + 2*w^2 + 11*w + 1]', '[241, 241, 5*w^3 - 5*w^2 - 24*w + 1]', '[263, 263, -2*w^3 + w^2 + 10*w + 1]', '[263, 263, -2*w^3 + 3*w^2 + 9*w + 1]', '[263, 263, -w^3 + 2*w^2 + 5*w - 7]', '[263, 263, 2*w^3 - 3*w^2 - 6*w + 5]', '[289, 17, -3*w^3 + 3*w^2 + 12*w - 1]', '[311, 311, 3*w^3 - 5*w^2 - 12*w + 3]', '[311, 311, -w^3 + 3*w^2 + 4*w - 9]', '[313, 313, 2*w^3 - 5*w^2 - 5*w + 9]', '[313, 313, w^3 - w^2 - 7*w - 1]', '[337, 337, -4*w^3 + 5*w^2 + 15*w - 1]', '[337, 337, w^3 - w^2 - 3*w + 5]', '[361, 19, -3*w^2 + 2*w + 11]', '[361, 19, 3*w^3 - w^2 - 14*w - 7]', '[367, 367, 4*w^3 - 6*w^2 - 14*w + 7]', '[367, 367, -2*w^3 + 10*w + 5]', '[383, 383, -2*w^3 + 4*w^2 + 6*w - 9]', '[383, 383, w^2 + w - 5]', '[383, 383, 2*w^2 - 2*w - 3]', '[383, 383, 3*w^3 - 4*w^2 - 13*w + 1]', '[401, 401, 3*w^3 - 3*w^2 - 11*w - 1]', '[401, 401, -4*w^3 + 4*w^2 + 17*w + 1]', '[431, 431, 2*w^2 - 3*w - 3]', '[431, 431, w^3 - 3*w^2 - w + 9]', '[433, 433, -4*w^3 + 5*w^2 + 15*w - 3]', '[433, 433, 3*w^3 - 2*w^2 - 13*w - 3]', '[433, 433, 3*w^3 - w^2 - 17*w - 9]', '[433, 433, -w^3 + 7*w + 9]', '[439, 439, 5*w^3 - 7*w^2 - 17*w + 7]', '[439, 439, -3*w^3 + 4*w^2 + 15*w - 7]', '[449, 449, 5*w^3 - 7*w^2 - 21*w + 13]', '[449, 449, 8*w^3 - 9*w^2 - 37*w + 7]', '[457, 457, 3*w^3 - 3*w^2 - 11*w + 1]', '[457, 457, -4*w^3 + 4*w^2 + 17*w - 1]', '[457, 457, w^3 - w^2 - 5*w - 5]', '[457, 457, w - 5]', '[463, 463, w^3 - w^2 - 2*w - 3]', '[463, 463, 3*w^3 - 3*w^2 - 14*w - 3]', '[463, 463, -3*w^3 + 2*w^2 + 12*w + 7]', '[463, 463, 5*w^3 - 6*w^2 - 20*w - 1]', '[479, 479, 4*w^3 - 3*w^2 - 19*w - 1]', '[479, 479, -2*w^3 + 4*w^2 + 6*w - 11]', '[487, 487, 5*w^3 - 6*w^2 - 22*w + 3]', '[487, 487, 4*w^3 - 5*w^2 - 16*w - 3]', '[503, 503, -2*w^2 + 4*w + 11]', '[503, 503, w^3 + 2*w^2 - 6*w - 13]', '[521, 521, -5*w^3 + 4*w^2 + 25*w + 3]', '[521, 521, -2*w^3 + w^2 + 12*w + 5]', '[529, 23, w^3 - w^2 - 4*w - 5]', '[569, 569, -4*w^3 + 6*w^2 + 16*w - 13]', '[569, 569, 2*w^3 - w^2 - 10*w - 9]', '[569, 569, -2*w^3 + 3*w^2 + 7*w - 9]', '[569, 569, 9*w^3 - 9*w^2 - 41*w + 3]', '[593, 593, -4*w^3 + 5*w^2 + 20*w - 3]', '[593, 593, -7*w^3 + 8*w^2 + 33*w - 5]', '[593, 593, -7*w^3 + 9*w^2 + 29*w - 15]', '[593, 593, -5*w^3 + 6*w^2 + 20*w - 11]', '[599, 599, -8*w^3 + 9*w^2 + 36*w - 5]', '[599, 599, -8*w^3 + 10*w^2 + 36*w - 9]', '[599, 599, -w^3 - 2*w^2 + 5*w + 11]', '[599, 599, 3*w^3 - 5*w^2 - 12*w + 1]', '[601, 601, -6*w^3 + 8*w^2 + 23*w - 5]', '[601, 601, 3*w^3 - w^2 - 13*w - 7]', '[607, 607, 5*w^3 - 7*w^2 - 19*w + 9]', '[607, 607, -2*w^3 + 9*w + 3]', '[617, 617, -w^3 + 2*w^2 + 5*w + 3]', '[617, 617, -2*w^3 + 3*w^2 + 9*w - 9]', '[625, 5, -5]', '[641, 641, -3*w^3 + 4*w^2 + 13*w - 9]', '[641, 641, 10*w^3 - 10*w^2 - 47*w + 3]', '[673, 673, 4*w^3 - 4*w^2 - 20*w + 1]', '[673, 673, -4*w^3 + 3*w^2 + 21*w + 5]', '[719, 719, -3*w^3 + 4*w^2 + 13*w + 1]', '[719, 719, w^2 + w - 7]', '[743, 743, 6*w^3 - 6*w^2 - 27*w + 5]', '[743, 743, w^3 - 4*w^2 - w + 5]', '[751, 751, 4*w^3 - 6*w^2 - 13*w + 7]', '[751, 751, 3*w^3 - w^2 - 15*w - 5]', '[809, 809, w^2 - 2*w - 9]', '[809, 809, w^2 - 2*w + 3]', '[823, 823, -2*w^3 + 3*w^2 + 12*w + 3]', '[823, 823, -4*w^3 + 5*w^2 + 20*w - 9]', '[839, 839, 3*w^3 - 2*w^2 - 14*w + 1]', '[839, 839, 3*w^3 - 4*w^2 - 10*w + 7]', '[857, 857, w^3 - 5*w - 9]', '[857, 857, 2*w^3 - 3*w^2 - 7*w - 3]', '[863, 863, -2*w^3 - w^2 + 10*w + 13]', '[863, 863, 2*w^2 + w - 7]', '[863, 863, -5*w^3 + 7*w^2 + 21*w - 5]', '[863, 863, w^3 + 3*w^2 - 10*w - 19]', '[881, 881, -4*w^3 + 3*w^2 + 17*w + 1]', '[881, 881, -5*w^3 + 6*w^2 + 19*w - 5]', '[887, 887, -3*w^3 + 5*w^2 + 8*w - 7]', '[887, 887, -3*w^3 + w^2 + 16*w + 5]', '[911, 911, 3*w^3 - 2*w^2 - 9*w - 3]', '[911, 911, 8*w^3 - 9*w^2 - 35*w + 3]', '[929, 929, -4*w^3 + 7*w^2 + 15*w - 9]', '[929, 929, -w^3 + 4*w^2 + 3*w - 9]', '[953, 953, -w^3 + 2*w^2 + 4*w - 9]', '[953, 953, w^3 - 2*w^2 - 4*w - 3]', '[953, 953, 3*w^3 - 6*w^2 - 11*w + 11]', '[953, 953, -2*w^3 + 5*w^2 + 7*w - 7]', '[961, 31, -4*w^3 + 4*w^2 + 16*w + 1]', '[977, 977, -w^3 + 3*w^2 - w - 5]', '[977, 977, -3*w^3 + 3*w^2 + 16*w - 1]', '[977, 977, -2*w^3 + 13*w + 7]', '[977, 977, w^3 - w^2 - 8*w - 1]', '[983, 983, -3*w^3 + 2*w^2 + 15*w - 1]', '[983, 983, -2*w^3 + 3*w^2 + 5*w - 7]', '[991, 991, -3*w^3 + 5*w^2 + 13*w + 1]', '[991, 991, 3*w^3 - 4*w^2 - 10*w + 9]']}
77. label: 4.4.4400.1
    {'degree': 4, 'discriminant': 4400, 'ideals': ['[1, 1, 1]', '[4, 2, -w^2 + w + 3]', '[5, 5, w + 1]', '[5, 5, -w^3 + w^2 + 4*w - 4]', '[11, 11, w]', '[16, 2, 2]', '[20, 10, -w^2 - w + 5]', '[20, 10, -w^2 + w + 5]', '[25, 5, w^3 - 3*w + 2]', '[25, 5, -2*w^2 + w + 8]', '[25, 5, -2*w^2 + 7]', '[29, 29, w^3 - 2*w^2 - 3*w + 7]', '[29, 29, -w^3 - 2*w^2 + 3*w + 7]', '[31, 31, -w^3 + w^2 + 4*w - 2]', '[31, 31, -w^3 - w^2 + 4*w + 2]', '[41, 41, w^3 + 2*w^2 - 4*w - 6]', '[41, 41, w^3 - 5*w + 2]', '[44, 22, w^3 + w^2 - 3*w]', '[49, 7, -w^3 + w^2 + 4*w - 1]', '[49, 7, w^3 + w^2 - 4*w - 1]', '[55, 55, -w^3 - 3*w^2 + 4*w + 11]', '[55, 55, w^3 - 3*w^2 - 4*w + 11]', '[59, 59, -3*w^2 - w + 10]', '[59, 59, -3*w^2 + w + 10]', '[61, 61, -2*w^3 + 2*w^2 + 7*w - 5]', '[61, 61, 2*w^3 + w^2 - 8*w - 6]', '[64, 4, -2*w^2 + 2*w + 6]', '[71, 71, 2*w^2 + w - 9]', '[71, 71, 2*w^2 - w - 9]', '[80, 10, 2*w + 2]', '[80, 10, -2*w^3 + 2*w^2 + 8*w - 8]', '[81, 3, -3]', '[100, 10, -w^3 + w^2 + 5*w - 2]', '[100, 10, -w^3 - w^2 + 5*w + 2]', '[100, 10, -2*w^3 - w^2 + 7*w + 1]', '[101, 101, 2*w^2 - w - 10]', '[101, 101, 2*w^2 + w - 10]', '[109, 109, 2*w^3 + w^2 - 8*w - 3]', '[109, 109, -2*w^3 + w^2 + 8*w - 3]', '[116, 58, -w^3 + 3*w^2 + 5*w - 10]', '[116, 58, -w^3 - 3*w^2 + 5*w + 10]', '[121, 11, -3*w^2 + 11]', '[121, 11, -w^2 + 7]', '[124, 62, w^3 - w^2 - 3*w + 6]', '[124, 62, -w^3 - w^2 + 3*w + 6]', '[125, 5, -w^3 + w^2 + 6*w - 6]', '[125, 5, -2*w^3 - 2*w^2 + 7*w + 7]', '[125, 25, -2*w^3 + w^2 + 8*w - 5]', '[125, 25, -2*w^3 - w^2 + 8*w + 5]', '[131, 131, 4*w^2 - 2*w - 15]', '[131, 131, 2*w^2 + 2*w - 3]', '[131, 131, 2*w^2 - 2*w - 3]', '[131, 131, -w^3 - w^2 + 3*w + 7]', '[139, 139, w^3 + 4*w^2 - 5*w - 16]', '[139, 139, w^3 + 3*w^2 - 6*w - 10]', '[139, 139, 2*w^3 - w^2 - 8*w + 1]', '[139, 139, -4*w^2 - w + 12]', '[145, 145, -w^2 + 2*w + 3]', '[145, 145, -w^3 - 2*w^2 + 5*w + 6]', '[145, 145, -w^3 + 2*w^2 + 5*w - 6]', '[145, 145, w^2 + 2*w - 3]', '[149, 149, 2*w^3 - w^2 - 8*w + 4]', '[149, 149, 2*w^3 + w^2 - 8*w - 4]', '[151, 151, 3*w^2 - 3*w - 8]', '[151, 151, 2*w^3 - 4*w^2 - 8*w + 17]', '[151, 151, w^2 - 2*w - 7]', '[151, 151, w^3 + 2*w^2 - 6*w - 8]', '[155, 155, w + 4]', '[155, 155, -2*w^2 + 2*w + 9]', '[155, 155, -2*w^2 - 2*w + 9]', '[155, 155, -w + 4]', '[164, 82, -w^3 + w^2 + 5*w - 8]', '[164, 82, w^3 + w^2 - 5*w - 8]', '[176, 22, 2*w]', '[179, 179, w^3 - w^2 - 5*w + 1]', '[179, 179, -w^3 - w^2 + 5*w + 1]', '[191, 191, 2*w^3 - w^2 - 7*w + 2]', '[191, 191, 3*w^3 - 2*w^2 - 10*w + 2]', '[196, 14, w^3 - 6*w^2 + 19]', '[196, 14, w^3 - 2*w - 3]', '[199, 199, w^3 - 4*w^2 - 3*w + 13]', '[199, 199, -w^3 - 4*w^2 + 3*w + 13]', '[205, 205, 4*w^2 - w - 15]', '[205, 205, w^3 + 2*w^2 - 3*w - 9]', '[205, 205, -w^3 + 2*w^2 + 3*w - 9]', '[205, 205, -w^3 - w^2 + 3*w - 1]', '[211, 211, -w^3 + w^2 + 6*w - 5]', '[211, 211, w^3 - 5*w - 5]', '[211, 211, -w^3 + 5*w - 5]', '[211, 211, w^3 + w^2 - 6*w - 5]', '[220, 110, -w^3 - w^2 + 5*w]', '[220, 110, -w^3 + w^2 + 5*w]', '[229, 229, w^3 - 4*w^2 - 2*w + 14]', '[229, 229, 2*w^3 + 3*w^2 - 7*w - 12]', '[229, 229, 2*w^3 - 3*w^2 - 7*w + 12]', '[229, 229, 2*w^3 + w^2 - 7*w - 8]', '[236, 118, -2*w^3 + w^2 + 7*w - 3]', '[236, 118, -4*w^3 + 3*w^2 + 13*w - 3]', '[241, 241, w^3 + w^2 - 6*w - 4]', '[241, 241, -w^3 + w^2 + 6*w - 4]', '[244, 122, 3*w^3 - 10*w^2 - 6*w + 29]', '[244, 122, w^3 + 4*w^2 - 4*w - 15]', '[245, 35, 2*w^3 + 4*w^2 - 5*w - 12]', '[245, 35, -2*w^2 + 3*w + 10]', '[245, 35, -w^3 + 2*w + 4]', '[245, 35, -3*w^3 + 4*w^2 + 12*w - 18]', '[251, 251, 2*w^2 - w - 2]', '[251, 251, 2*w^2 + w - 2]', '[256, 4, 4]', '[271, 271, 2*w^3 - 2*w^2 - 8*w + 5]', '[271, 271, -4*w^2 - w + 14]', '[271, 271, -4*w^2 + w + 14]', '[271, 271, 2*w^3 + 2*w^2 - 8*w - 5]', '[275, 55, -2*w^3 - w^2 + 8*w]', '[275, 55, -2*w^3 + w^2 + 8*w]', '[275, 55, -2*w^3 + 7*w]', '[281, 281, -2*w^3 - w^2 + 9*w + 2]', '[281, 281, 2*w^3 - w^2 - 9*w + 2]', '[284, 142, w^3 + 2*w^2 - 6*w - 5]', '[284, 142, 3*w^3 - 12*w - 5]', '[295, 295, -3*w^3 - 2*w^2 + 11*w + 10]', '[295, 295, -3*w^3 - 4*w^2 + 9*w + 10]', '[295, 295, -2*w^2 + 3*w + 4]', '[295, 295, -2*w^3 + 4*w^2 + 11*w - 18]', '[305, 305, -4*w + 9]', '[305, 305, 3*w^3 + 5*w^2 - 12*w - 21]', '[305, 305, -5*w^2 + 2*w + 17]', '[305, 305, -w^3 + 2*w^2 + 3*w - 10]', '[311, 311, -w^3 + 3*w - 5]', '[311, 311, w^3 - 3*w - 5]', '[319, 319, -w^3 + w^2 + 6*w]', '[319, 319, -w^3 - w^2 + 6*w]', '[320, 20, -2*w^2 - 2*w + 10]', '[320, 20, -2*w^2 + 2*w + 10]', '[324, 6, 3*w^2 - 3*w - 9]', '[331, 331, -3*w^3 + 3*w^2 + 12*w - 13]', '[331, 331, 3*w^3 + 3*w^2 - 12*w - 13]', '[341, 341, w^3 - 3*w^2 - 2*w + 11]', '[341, 341, -w^3 - 3*w^2 + 2*w + 11]', '[349, 349, 2*w^3 + 2*w^2 - 7*w - 10]', '[349, 349, -2*w^3 + 2*w^2 + 7*w - 10]', '[355, 355, 2*w^3 + w^2 - 10*w - 9]', '[355, 355, 2*w^3 + 3*w^2 - 8*w - 9]', '[355, 355, 2*w^3 - 10*w + 3]', '[355, 355, 4*w^3 - 6*w^2 - 18*w + 25]', '[361, 19, 4*w^2 - 15]', '[361, 19, -4*w^2 + 13]', '[379, 379, -w^3 + 3*w^2 + 3*w - 13]', '[379, 379, w^3 + 3*w^2 - 3*w - 13]', '[400, 10, 2*w^3 - 6*w + 4]', '[400, 10, -4*w^2 + 2*w + 16]', '[400, 10, -4*w^2 + 14]', '[404, 202, 3*w^3 + w^2 - 13*w - 8]', '[404, 202, w^3 + 3*w^2 - 7*w - 8]', '[405, 15, -3*w - 3]', '[405, 15, 3*w^3 - 3*w^2 - 12*w + 12]', '[409, 409, 3*w^3 - 2*w^2 - 11*w + 2]', '[409, 409, w^3 + 3*w^2 - 6*w - 9]', '[419, 419, -w^3 + w^2 + 6*w + 2]', '[419, 419, -3*w^3 + 5*w^2 + 13*w - 19]', '[421, 421, -w^3 + 3*w^2 + 7*w - 13]', '[421, 421, 2*w^3 - 2*w^2 - 9*w + 6]', '[421, 421, -2*w^3 - 2*w^2 + 9*w + 6]', '[421, 421, w^3 + 3*w^2 - 7*w - 13]', '[436, 218, w^3 + 5*w^2 - 5*w - 20]', '[436, 218, w^3 - 7*w^2 - w + 24]', '[439, 439, 3*w^2 + 2*w - 13]', '[439, 439, 3*w^3 + 2*w^2 - 12*w - 10]', '[439, 439, -3*w^3 + 2*w^2 + 12*w - 10]', '[439, 439, 3*w^2 - 2*w - 13]', '[449, 449, 2*w^3 - 4*w^2 - 9*w + 14]', '[449, 449, -3*w^3 + 3*w^2 + 11*w - 9]', '[449, 449, 3*w^3 + 3*w^2 - 11*w - 9]', '[449, 449, w^3 - 2*w^2 - 5*w + 2]', '[451, 451, 2*w^2 + 2*w - 11]', '[451, 451, 2*w^2 - 2*w - 11]', '[461, 461, -w - 5]', '[461, 461, w - 5]', '[464, 58, 2*w^3 - 4*w^2 - 6*w + 14]', '[464, 58, -2*w^3 - 4*w^2 + 6*w + 14]', '[484, 22, -3*w^3 + w^2 + 11*w]', '[484, 22, -w^3 - 3*w^2 + 7*w + 10]', '[496, 62, -2*w^3 + 2*w^2 + 8*w - 4]', '[496, 62, -2*w^3 - 2*w^2 + 8*w + 4]', '[499, 499, w^3 - 5*w^2 - w + 17]', '[499, 499, -w^3 - 5*w^2 + w + 17]', '[500, 10, -2*w^3 - 3*w^2 + 7*w + 13]', '[500, 10, 2*w^3 - 3*w^2 - 7*w + 13]', '[500, 50, -w^3 + 2*w^2 + 2*w - 1]', '[500, 50, w^3 + 2*w^2 - 2*w - 1]', '[505, 505, 3*w^3 - w^2 - 14*w + 7]', '[505, 505, 5*w^3 - 7*w^2 - 22*w + 29]', '[505, 505, 2*w^3 + w^2 - 11*w - 10]', '[505, 505, 2*w^3 + 3*w^2 - 9*w - 10]', '[509, 509, w^3 + 5*w^2 - 4*w - 16]', '[509, 509, w^2 - 2*w - 10]', '[509, 509, w^2 + 2*w - 10]', '[509, 509, w^3 - w^2 - 5*w + 9]', '[524, 262, 2*w^3 - w^2 - 9*w + 1]', '[524, 262, -3*w^2 + 3*w + 13]', '[524, 262, 4*w^3 - 7*w^2 - 9*w + 13]', '[524, 262, -2*w^3 - w^2 + 9*w + 1]', '[539, 77, w^3 + 3*w^2 - w - 11]', '[539, 77, w^3 - 3*w^2 - w + 11]', '[541, 541, 3*w^3 - 10*w - 6]', '[541, 541, -2*w^3 + 5*w^2 + 5*w - 16]', '[545, 545, 2*w^3 - 4*w^2 - 11*w + 23]', '[545, 545, -2*w^3 + 4*w^2 + 9*w - 21]', '[545, 545, -w^3 - 5*w^2 + 5*w + 19]', '[545, 545, 3*w^3 + 7*w^2 - 11*w - 25]', '[556, 278, 5*w^3 + 2*w^2 - 20*w - 15]', '[556, 278, -w^3 + 2*w^2 + 2*w - 9]', '[556, 278, -w^3 + 3*w^2 + 3*w - 14]', '[556, 278, 3*w^3 - 2*w^2 - 12*w + 7]', '[569, 569, 3*w^3 + 2*w^2 - 13*w - 6]', '[569, 569, -2*w^3 + 4*w^2 + 7*w - 10]', '[580, 290, w^3 + w^2 - 3*w + 2]', '[580, 290, -w^3 - 4*w^2 + 2*w + 15]', '[580, 290, w^3 - 4*w^2 - 2*w + 15]', '[580, 290, -w^3 + w^2 + 3*w + 2]', '[596, 298, -w^3 + 6*w^2 + 2*w - 21]', '[596, 298, w^3 + 6*w^2 - 6*w - 23]', '[599, 599, w^3 + 2*w^2 - 7*w - 10]', '[599, 599, -w^3 + 2*w^2 + 7*w - 10]', '[601, 601, -3*w^3 - w^2 + 12*w + 6]', '[601, 601, 3*w^3 - w^2 - 12*w + 6]', '[604, 302, w^2 + w - 9]', '[604, 302, -3*w^3 - 2*w^2 + 12*w + 9]', '[604, 302, 3*w^3 - 2*w^2 - 12*w + 9]', '[604, 302, w^2 - w - 9]', '[605, 55, -w^3 - w^2 + 7*w + 7]', '[605, 55, -3*w^3 - 3*w^2 + 11*w + 11]', '[605, 55, -4*w^3 + 4*w^2 + 17*w - 17]', '[605, 55, -3*w^3 + 3*w^2 + 11*w - 11]', '[619, 619, 3*w^3 - 12*w + 2]', '[619, 619, -3*w^3 + 12*w + 2]', '[620, 310, -w^3 - 3*w^2 + 7*w + 12]', '[620, 310, -3*w^3 + 3*w^2 + 11*w - 10]', '[620, 310, -3*w^3 - 3*w^2 + 11*w + 10]', '[620, 310, -w^3 + 3*w^2 + 7*w - 12]', '[625, 5, 5]', '[625, 25, -w^3 - 5*w^2 + 3*w + 17]', '[625, 25, w^3 - 5*w^2 - 3*w + 17]', '[625, 25, -2*w^3 - 2*w^2 + 7*w + 12]', '[625, 25, -w^3 - 4*w^2 + w + 14]', '[631, 631, -w^3 + w^2 + 2*w - 8]', '[631, 631, w^3 + w^2 - 2*w - 8]', '[641, 641, w^3 + w^2 - 7*w - 1]', '[641, 641, -3*w^3 - 2*w^2 + 12*w + 4]', '[641, 641, 3*w^3 - 2*w^2 - 12*w + 4]', '[641, 641, w^3 - w^2 - 7*w + 1]', '[649, 649, -3*w^3 - w^2 + 10*w]', '[649, 649, -3*w^3 + w^2 + 10*w]', '[655, 655, 2*w^3 + 4*w^2 - w - 3]', '[655, 655, 2*w^3 + 3*w^2 - 11*w - 14]', '[655, 655, 2*w^3 - 5*w - 3]', '[655, 655, -3*w^3 - 2*w^2 + 12*w + 8]', '[655, 655, 3*w^3 - 2*w^2 - 12*w + 8]', '[655, 655, -w^3 - 3*w^2 + 2*w + 12]', '[655, 655, -2*w^3 + 3*w^2 + 11*w - 14]', '[655, 655, -5*w^3 + 9*w^2 + 18*w - 32]', '[656, 82, 2*w^3 + 4*w^2 - 8*w - 12]', '[656, 82, 2*w^3 - 10*w + 4]', '[659, 659, -2*w^3 + w^2 + 10*w - 1]', '[659, 659, -w^3 + 5*w^2 + 4*w - 19]', '[659, 659, w^3 + 5*w^2 - 4*w - 19]', '[659, 659, 2*w^3 + w^2 - 10*w - 1]', '[671, 671, 2*w^3 + 7*w^2 - 5*w - 22]', '[671, 671, 2*w^3 - 7*w^2 - 5*w + 22]', '[691, 691, 3*w^2 - 2*w - 14]', '[691, 691, 3*w^2 + 2*w - 14]', '[695, 695, w^3 + 2*w^2 - 5*w - 13]', '[695, 695, 5*w^3 + 6*w^2 - 21*w - 27]', '[695, 695, -w^3 + 5*w^2 + 7*w - 21]', '[695, 695, 3*w^3 + 2*w^2 - 11*w - 5]', '[695, 695, 2*w^3 + w^2 - 11*w - 2]', '[695, 695, -2*w^3 + 6*w^2 + 9*w - 24]', '[695, 695, 6*w^3 - 9*w^2 - 29*w + 42]', '[695, 695, -3*w^3 - 5*w^2 + 6*w + 8]', '[701, 701, w^3 + 4*w^2 - 7*w - 12]', '[701, 701, 3*w^3 - w^2 - 12*w - 1]', '[704, 44, 2*w^3 + 2*w^2 - 6*w]', '[716, 358, 5*w^2 - 3*w - 19]', '[716, 358, -2*w^3 + w^2 + 5*w + 3]', '[719, 719, -w^3 + 7*w - 3]', '[719, 719, w^3 - 7*w - 3]', '[725, 145, 2*w^3 - w^2 - 8*w + 10]', '[725, 145, -w^3 + w + 5]', '[725, 145, 2*w^3 - 6*w^2 - 9*w + 23]', '[725, 145, -2*w^3 - w^2 + 8*w + 10]', '[725, 145, w^3 - w + 5]', '[725, 145, -2*w^3 - 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4]', '[775, 155, -3*w^3 + 2*w^2 + 10*w - 4]', '[775, 155, -w^2 + 3*w + 4]', '[775, 155, -w^3 + 3*w^2 + 6*w - 8]', '[781, 781, 2*w^3 - w^2 - 9*w]', '[781, 781, 2*w^3 + w^2 - 9*w]', '[784, 14, -2*w^3 + 2*w^2 + 8*w - 2]', '[784, 14, 2*w^3 + 2*w^2 - 8*w - 2]', '[796, 398, -5*w^3 + 7*w^2 + 15*w - 16]', '[796, 398, -3*w^3 - w^2 + 11*w + 6]', '[809, 809, 2*w^3 + 3*w^2 - 7*w - 14]', '[809, 809, -2*w^3 + 3*w^2 + 7*w - 14]', '[820, 410, 3*w^3 - 12*w + 1]', '[820, 410, w^3 + 5*w^2 - 7*w - 16]', '[820, 410, 3*w^3 - 3*w^2 - 11*w + 6]', '[820, 410, 3*w^3 - 12*w - 1]', '[821, 821, -3*w^3 - w^2 + 11*w + 1]', '[821, 821, 3*w^3 - w^2 - 11*w + 1]', '[829, 829, 3*w^3 - w^2 - 12*w + 4]', '[829, 829, w^3 - 4*w^2 - 6*w + 12]', '[829, 829, -w^3 - 4*w^2 + 6*w + 12]', '[829, 829, -3*w^3 - w^2 + 12*w + 4]', '[839, 839, -w^3 + 3*w - 6]', '[839, 839, w^3 - 3*w - 6]', '[841, 29, 5*w^2 - 19]', '[841, 29, -w^2 + 9]', '[841, 841, -w^3 - 2*w^2 + 2*w + 10]', '[841, 841, w^3 - 2*w^2 - 2*w + 10]', '[844, 422, -w^3 + 2*w + 7]', '[844, 422, w^3 + 7*w^2 - 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7*w - 31]', '[1601, 1601, -2*w^3 + 8*w^2 + 7*w - 31]', '[1616, 202, 4*w^2 - 2*w - 20]', '[1616, 202, 4*w^2 + 2*w - 20]', '[1619, 1619, -2*w^3 + 5*w^2 + 12*w - 16]', '[1619, 1619, -w^3 + w^2 + w - 9]', '[1619, 1619, w^3 + w^2 - w - 9]', '[1619, 1619, 3*w^3 + 5*w^2 - 10*w - 10]', '[1620, 30, 3*w^2 + 3*w - 15]', '[1620, 30, 3*w^2 - 3*w - 15]', '[1636, 818, -w^3 + 4*w^2 + 2*w - 17]', '[1636, 818, w^3 + 4*w^2 - 2*w - 17]', '[1639, 1639, w^3 + 6*w^2 - 4*w - 22]', '[1639, 1639, -w^3 + 6*w^2 + 4*w - 22]', '[1655, 1655, 7*w^3 - 10*w^2 - 34*w + 52]', '[1655, 1655, w^3 + 2*w^2 - 4*w - 14]', '[1655, 1655, -6*w^2 - w + 20]', '[1655, 1655, 6*w^3 + 12*w^2 - 25*w - 46]', '[1661, 1661, -2*w^3 + w^2 + 8*w - 11]', '[1661, 1661, 4*w^3 + 6*w^2 - 17*w - 22]', '[1661, 1661, -4*w^3 + 6*w^2 + 17*w - 22]', '[1661, 1661, -3*w^3 - 3*w^2 + 8*w]', '[1669, 1669, 2*w^3 + 5*w^2 - 8*w - 27]', '[1669, 1669, -2*w^3 + 5*w^2 + 8*w - 27]', '[1676, 838, w^3 - 6*w^2 - 4*w + 21]', '[1676, 838, -w^3 - 6*w^2 + 4*w + 21]', '[1681, 41, 6*w^2 - 23]', '[1681, 41, -6*w^2 + 19]', '[1681, 1681, -w^3 - 6*w^2 + 2*w + 24]', '[1681, 1681, w^3 - 6*w^2 - 2*w + 24]', '[1684, 842, w^2 - 3*w + 5]', '[1684, 842, -w^3 + 7*w^2 + w - 26]', '[1684, 842, -3*w^3 - 3*w^2 + 11*w + 18]', '[1684, 842, 6*w^3 + w^2 - 23*w - 17]', '[1699, 1699, 3*w^3 + 8*w^2 - 11*w - 27]', '[1699, 1699, -3*w^3 + 8*w^2 + 11*w - 27]', '[1705, 1705, -3*w^3 - 6*w^2 + 14*w + 22]', '[1705, 1705, -w^2 + 4*w]', '[1705, 1705, w^2 + 4*w]', '[1705, 1705, -3*w^3 + 6*w^2 + 14*w - 22]', '[1711, 1711, 4*w^3 + 5*w^2 - 10*w - 7]', '[1711, 1711, -3*w^2 - 4*w + 15]', '[1711, 1711, -3*w^2 + 4*w + 15]', '[1711, 1711, -4*w^3 + 5*w^2 + 10*w - 7]', '[1721, 1721, w^3 - 3*w^2 - 4*w + 18]', '[1721, 1721, w^3 - 3*w^2 - 8*w + 19]', '[1721, 1721, 4*w^3 + 7*w^2 - 13*w - 24]', '[1721, 1721, -w^3 - 3*w^2 + 4*w + 18]', '[1741, 1741, -w^3 + 4*w^2 + 8*w - 20]', '[1741, 1741, -w^2 - 2*w - 4]', '[1741, 1741, -w^2 + 2*w - 4]', '[1741, 1741, w^3 + 4*w^2 - 8*w - 20]', '[1744, 218, 4*w^3 + 2*w^2 - 16*w - 6]', '[1744, 218, -4*w^3 + 2*w^2 + 16*w - 6]', '[1745, 1745, -5*w^2 - 3*w + 12]', '[1745, 1745, 4*w^3 + 9*w^2 - 17*w - 32]', '[1745, 1745, 5*w^3 - 5*w^2 - 24*w + 29]', '[1745, 1745, 3*w^3 - 3*w^2 - 12*w + 7]', '[1756, 878, w^3 + 3*w^2 - 7*w - 6]', '[1756, 878, 2*w^3 + 11*w^2 - 13*w - 41]', '[1756, 878, 2*w^3 - 7*w^2 - 7*w + 25]', '[1756, 878, 5*w^3 - w^2 - 19*w - 6]', '[1759, 1759, -4*w^3 - w^2 + 15*w + 8]', '[1759, 1759, 4*w^3 - 12*w - 5]', '[1759, 1759, -4*w^3 + 12*w - 5]', '[1759, 1759, 4*w^3 - w^2 - 15*w + 8]', '[1769, 1769, 4*w^3 + 3*w^2 - 19*w - 20]', '[1769, 1769, -3*w^3 + 2*w^2 + 12*w - 2]', '[1769, 1769, 3*w^3 + 2*w^2 - 12*w - 2]', '[1769, 1769, 3*w^3 - 10*w^2 - 2*w + 20]', '[1775, 355, -2*w^3 + 4*w^2 + 7*w - 19]', '[1775, 355, 7*w^2 - w - 28]', '[1775, 355, -w^3 + 8*w^2 + 7*w - 29]', '[1775, 355, 2*w^3 + 4*w^2 - 7*w - 19]', '[1775, 355, -w^3 + 3*w - 7]', '[1775, 355, 4*w^3 + 5*w^2 - 17*w - 28]', '[1789, 1789, 4*w^3 + 3*w^2 - 15*w - 18]', '[1789, 1789, 4*w^2 + 2*w - 5]', '[1796, 898, 2*w^3 + 7*w^2 - 7*w - 23]', '[1796, 898, 4*w^3 - 13*w^2 - 9*w + 39]', '[1796, 898, 2*w^3 + 7*w^2 - 9*w - 27]', '[1796, 898, -2*w^3 + 7*w^2 + 7*w - 23]', '[1801, 1801, w^2 + 4*w - 6]', '[1801, 1801, w^2 - 4*w - 6]', '[1804, 902, w^3 + 2*w^2 - 8*w - 11]', '[1804, 902, w^3 - 2*w^2 - 8*w + 11]', '[1805, 95, 4*w^3 + 4*w^2 - 15*w - 15]', '[1805, 95, -4*w^3 - 4*w^2 + 13*w + 13]', '[1805, 95, 3*w^3 - 3*w^2 - 16*w + 16]', '[1805, 95, -w^3 + w^2 + 8*w - 8]', '[1811, 1811, 5*w^3 - 6*w^2 - 15*w + 13]', '[1811, 1811, 2*w^3 + 8*w^2 - 6*w - 31]', '[1811, 1811, -2*w^3 + 8*w^2 + 6*w - 31]', '[1811, 1811, -5*w^3 + 5*w^2 + 24*w - 28]', '[1829, 1829, -8*w^2 + 5*w + 24]', '[1829, 1829, -2*w^3 - 2*w^2 + 9*w + 2]', '[1829, 1829, -2*w^3 + 2*w^2 + 9*w - 2]', '[1829, 1829, 8*w^2 + 5*w - 24]', '[1831, 1831, 4*w^2 - 4*w - 7]', '[1831, 1831, 4*w^2 + 4*w - 7]', '[1844, 922, w^3 + 4*w^2 - 8*w - 15]', '[1844, 922, -w^3 + 6*w^2 - 2*w - 15]', '[1849, 43, 3*w^3 - 4*w^2 - 13*w + 13]', '[1849, 43, 3*w^3 + 4*w^2 - 13*w - 13]', '[1856, 116, -2*w^3 + 6*w^2 + 10*w - 20]', '[1856, 116, -2*w^3 - 6*w^2 + 10*w + 20]', '[1861, 1861, -2*w^3 - 3*w^2 + 5*w + 12]', '[1861, 1861, 2*w^3 - 3*w^2 - 5*w + 12]', '[1871, 1871, -4*w^3 + 2*w^2 + 15*w + 1]', '[1871, 1871, -5*w^2 + 4*w + 12]', '[1879, 1879, -3*w^3 - 5*w^2 + 13*w + 17]', '[1879, 1879, -4*w^3 + 2*w^2 + 19*w - 13]', '[1889, 1889, -4*w - 3]', '[1889, 1889, 4*w - 3]', '[1891, 1891, -4*w^3 + 4*w^2 + 10*w - 1]', '[1891, 1891, 2*w^3 + 6*w^2 - 6*w - 23]', '[1891, 1891, 2*w^3 - 6*w^2 - 6*w + 23]', '[1891, 1891, w^3 + 5*w^2 - 7*w - 23]', '[1895, 1895, 4*w^3 + 7*w^2 - 16*w - 24]', '[1895, 1895, 2*w^3 - w^2 - 10*w - 2]', '[1895, 1895, 4*w^3 - 5*w^2 - 18*w + 19]', '[1895, 1895, 4*w^3 - 3*w^2 - 20*w + 19]', '[1931, 1931, -w^3 + 3*w^2 + 6*w - 19]', '[1931, 1931, 2*w^3 + 2*w^2 - 9*w - 1]', '[1931, 1931, -2*w^3 + 2*w^2 + 9*w - 1]', '[1931, 1931, -2*w^3 - 7*w^2 + 7*w + 24]', '[1936, 22, -6*w^2 + 22]', '[1936, 22, -2*w^2 + 14]', '[1949, 1949, -3*w^3 + 2*w^2 + 13*w - 4]', '[1949, 1949, 3*w^3 + 2*w^2 - 13*w - 4]', '[1951, 1951, 2*w^3 + 8*w^2 - 5*w - 29]', '[1951, 1951, -6*w^2 - 4*w + 23]', '[1969, 1969, -w^3 + 2*w^2 + w - 11]', '[1969, 1969, -w^3 - 2*w^2 + w + 11]', '[1979, 1979, -4*w^3 + 6*w^2 + 14*w - 23]', '[1979, 1979, -3*w^3 + w^2 + 13*w + 1]', '[1979, 1979, 3*w^3 + w^2 - 13*w + 1]', '[1979, 1979, 4*w^3 + 6*w^2 - 14*w - 23]', '[1984, 124, 2*w^3 - 2*w^2 - 6*w + 12]', '[1984, 124, -2*w^3 - 2*w^2 + 6*w + 12]', '[1996, 998, -8*w^3 + 9*w^2 + 25*w - 15]', '[1996, 998, -2*w^3 - 3*w^2 + 9*w + 7]', '[1999, 1999, w^3 + 5*w^2 - w - 19]', '[1999, 1999, -4*w^3 + 2*w^2 + 15*w - 4]', '[1999, 1999, -5*w^3 + 19*w + 7]', '[1999, 1999, -w^3 + 5*w^2 + w - 19]', '[2000, 10, -2*w^3 + 2*w^2 + 12*w - 12]', '[2000, 10, -4*w^3 - 4*w^2 + 14*w + 14]', '[2000, 50, -4*w^3 + 2*w^2 + 16*w - 10]', '[2000, 50, -4*w^3 - 2*w^2 + 16*w + 10]', '[2009, 287, -2*w^3 - 8*w^2 + 9*w + 27]', '[2009, 287, 9*w^2 - 4*w - 31]', '[2009, 287, 2*w^3 - 8*w^2 - 9*w + 27]', '[2009, 287, w^3 - 7*w^2 - 2*w + 24]', '[2011, 2011, 2*w^3 + w^2 - 10*w + 3]', '[2011, 2011, 2*w^3 + 7*w^2 - 8*w - 20]', '[2020, 1010, 3*w^3 + 5*w^2 - 15*w - 28]', '[2020, 1010, w^3 + 7*w^2 - 5*w - 28]', '[2020, 1010, -w^3 + 7*w^2 + 5*w - 28]', '[2020, 1010, -3*w^3 + 5*w^2 + 15*w - 28]', '[2025, 15, -3*w^3 + 9*w - 6]', '[2025, 15, 6*w^2 - 3*w - 24]', '[2025, 15, 6*w^2 - 21]', '[2029, 2029, -2*w^3 - 8*w^2 + 10*w + 29]', '[2029, 2029, w^3 + 4*w^2 - w - 16]', '[2029, 2029, -w^3 + 4*w^2 + w - 16]', '[2029, 2029, 2*w^3 - 8*w^2 - 10*w + 29]', '[2036, 1018, 3*w^3 - 6*w^2 - 12*w + 19]', '[2036, 1018, 3*w^3 + 4*w^2 - 16*w - 19]', '[2036, 1018, -w^3 + 8*w^2 - 4*w - 19]', '[2036, 1018, -3*w^3 - 6*w^2 + 12*w + 19]', '[2039, 2039, -2*w^3 + 4*w^2 + 8*w - 9]', '[2039, 2039, 2*w^3 + 4*w^2 - 8*w - 9]', '[2045, 2045, -2*w^3 + 7*w^2 + 8*w - 26]', '[2045, 2045, 2*w^3 + 2*w^2 - 9*w - 15]', '[2045, 2045, -2*w^3 + 2*w^2 + 9*w - 15]', '[2045, 2045, 2*w^3 + 7*w^2 - 8*w - 26]', '[2059, 2059, -3*w^3 + 8*w^2 + 12*w - 30]', '[2059, 2059, -w^3 + 2*w - 8]', '[2059, 2059, w^3 - 2*w - 8]', '[2059, 2059, 3*w^3 + 8*w^2 - 12*w - 30]', '[2069, 2069, -w - 7]', '[2069, 2069, 3*w^3 + 8*w^2 - 9*w - 28]', '[2069, 2069, -3*w^2 - 2*w + 2]', '[2069, 2069, w - 7]', '[2081, 2081, 4*w^2 + 3*w - 18]', '[2081, 2081, 4*w^2 - 3*w - 18]', '[2089, 2089, 3*w^3 - 11*w^2 - 6*w + 32]', '[2089, 2089, 7*w^2 - 2*w - 23]', '[2095, 2095, -2*w^3 - 3*w^2 + 6*w + 14]', '[2095, 2095, -8*w^2 - 3*w + 26]', '[2095, 2095, -3*w^3 - 2*w^2 + 12*w + 16]', '[2095, 2095, 2*w^3 - 3*w^2 - 6*w + 14]', '[2096, 262, 8*w^2 - 4*w - 30]', '[2096, 262, 4*w^2 + 4*w - 6]', '[2096, 262, 4*w^2 - 4*w - 6]', '[2096, 262, -2*w^3 - 2*w^2 + 6*w + 14]', '[2099, 2099, -w^3 - 6*w^2 + 9*w + 20]', '[2099, 2099, -w^3 - 3*w^2 + 8*w + 9]', '[2101, 2101, 2*w^3 + 11*w^2 - 2*w - 33]', '[2101, 2101, w^3 + 7*w^2 - 2*w - 22]', '[2105, 2105, 8*w^3 - 15*w^2 - 36*w + 63]', '[2105, 2105, 3*w^3 - 7*w^2 - 12*w + 31]', '[2105, 2105, 2*w^3 + 3*w^2 - 6*w - 2]', '[2105, 2105, -3*w^3 + 7*w^2 + 16*w - 35]', '[2105, 2105, -4*w^3 - 7*w^2 + 15*w + 28]', '[2105, 2105, 7*w^2 - 2*w - 25]', '[2105, 2105, 3*w^2 - 3*w - 16]', '[2105, 2105, 4*w^3 + 3*w^2 - 20*w - 24]', '[2111, 2111, 2*w^3 - 4*w^2 - 5*w + 15]', '[2111, 2111, -7*w^2 + 4*w + 20]', '[2111, 2111, -7*w^2 - 4*w + 20]', '[2111, 2111, -2*w^3 - 4*w^2 + 5*w + 15]', '[2129, 2129, 4*w^3 + w^2 - 16*w - 2]', '[2129, 2129, -4*w^3 + w^2 + 16*w - 2]', '[2131, 2131, 9*w^2 - 3*w - 34]', '[2131, 2131, -2*w^3 - 5*w^2 + 8*w + 8]', '[2131, 2131, 2*w^3 - 5*w^2 - 8*w + 8]', '[2131, 2131, 9*w^2 + 3*w - 34]', '[2141, 2141, 2*w^3 + 7*w^2 - 11*w - 24]', '[2141, 2141, -2*w^3 + 7*w^2 + 11*w - 24]', '[2156, 154, 6*w^3 + 7*w^2 - 19*w - 11]', '[2156, 154, 5*w^2 + 3*w - 11]', '[2161, 2161, -w^3 + 2*w^2 + 8*w + 2]', '[2161, 2161, -2*w^2 - 5*w + 1]', '[2161, 2161, 5*w^3 - 5*w^2 - 20*w + 18]', '[2161, 2161, -5*w^3 + 8*w^2 + 21*w - 30]', '[2164, 1082, 2*w^3 + 5*w^2 - 9*w - 15]', '[2164, 1082, 2*w^3 - 5*w^2 - 9*w + 15]', '[2179, 2179, -4*w^3 - 4*w^2 + 13*w + 12]', '[2179, 2179, 4*w^3 - 4*w^2 - 13*w + 12]', '[2180, 1090, -3*w^3 - 5*w^2 + 15*w + 18]', '[2180, 1090, 5*w^3 + 7*w^2 - 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14*w - 43]', '[9901, 9901, 2*w^3 + 10*w^2 - 7*w - 37]', '[9904, 1238, -6*w^3 + 24*w - 4]', '[9904, 1238, -6*w^3 + 24*w + 4]', '[9920, 620, -2*w^3 - 6*w^2 + 14*w + 24]', '[9920, 620, -6*w^3 + 6*w^2 + 22*w - 20]', '[9920, 620, -6*w^3 - 6*w^2 + 22*w + 20]', '[9920, 620, -2*w^3 + 6*w^2 + 14*w - 24]', '[9929, 9929, 5*w^2 - 5*w - 24]', '[9929, 9929, 5*w^2 + 5*w - 24]', '[9931, 9931, -2*w^3 - 6*w^2 + 6*w + 29]', '[9931, 9931, 2*w^3 - 6*w^2 - 6*w + 29]', '[9941, 9941, -w^3 - 11*w^2 + 36]', '[9941, 9941, w^3 - 11*w^2 + 36]', '[9949, 9949, -3*w^3 + w^2 + 17*w - 3]', '[9949, 9949, 3*w^3 - 12*w^2 - 13*w + 36]', '[9949, 9949, -8*w^3 + 9*w^2 + 26*w - 20]', '[9949, 9949, 3*w^3 + w^2 - 17*w - 3]', '[9980, 4990, 4*w^3 - 13*w^2 - 11*w + 41]', '[9980, 4990, -6*w^3 - w^2 + 23*w + 19]', '[9980, 4990, 6*w^3 - w^2 - 23*w + 19]', '[9980, 4990, -4*w^3 - 13*w^2 + 11*w + 41]', '[9995, 9995, 4*w^3 - w^2 - 18*w - 8]', '[9995, 9995, 6*w^3 - 9*w^2 - 24*w + 41]', '[9995, 9995, 3*w^3 - 7*w^2 - 10*w + 30]', '[9995, 9995, 6*w^3 + 11*w^2 - 20*w - 30]', '[9995, 9995, 2*w^3 + 3*w^2 - 14*w - 1]', '[9995, 9995, -3*w^3 - 7*w^2 + 10*w + 30]', '[9995, 9995, -6*w^3 - 9*w^2 + 24*w + 41]', '[9995, 9995, 6*w^3 - 11*w^2 - 28*w + 43]', '[10000, 10, 10]', '[10000, 50, -2*w^3 - 10*w^2 + 6*w + 34]', '[10000, 50, 2*w^3 - 10*w^2 - 6*w + 34]', '[10000, 50, -4*w^3 - 4*w^2 + 14*w + 24]', '[10000, 50, -2*w^3 - 8*w^2 + 2*w + 28]'], 'label': '4.4.4400.1', 'narrow_class_no': 2, 'primes': ['[4, 2, -w^2 + w + 3]', '[5, 5, w + 1]', '[5, 5, -w^3 + w^2 + 4*w - 4]', '[11, 11, w]', '[29, 29, w^3 - 2*w^2 - 3*w + 7]', '[29, 29, -w^3 - 2*w^2 + 3*w + 7]', '[31, 31, -w^3 + w^2 + 4*w - 2]', '[31, 31, -w^3 - w^2 + 4*w + 2]', '[41, 41, w^3 + 2*w^2 - 4*w - 6]', '[41, 41, w^3 - 5*w + 2]', '[49, 7, -w^3 + w^2 + 4*w - 1]', '[49, 7, w^3 + w^2 - 4*w - 1]', '[59, 59, -3*w^2 - w + 10]', '[59, 59, -3*w^2 + w + 10]', '[61, 61, -2*w^3 + 2*w^2 + 7*w - 5]', '[61, 61, 2*w^3 + w^2 - 8*w - 6]', '[71, 71, 2*w^2 + w - 9]', '[71, 71, 2*w^2 - w - 9]', '[81, 3, -3]', '[101, 101, 2*w^2 - w - 10]', '[101, 101, 2*w^2 + w - 10]', '[109, 109, 2*w^3 + w^2 - 8*w - 3]', '[109, 109, -2*w^3 + w^2 + 8*w - 3]', '[121, 11, -w^2 + 7]', '[131, 131, 4*w^2 - 2*w - 15]', '[131, 131, 2*w^2 + 2*w - 3]', '[131, 131, 2*w^2 - 2*w - 3]', '[131, 131, -w^3 - w^2 + 3*w + 7]', '[139, 139, w^3 + 4*w^2 - 5*w - 16]', '[139, 139, w^3 + 3*w^2 - 6*w - 10]', '[139, 139, 2*w^3 - w^2 - 8*w + 1]', '[139, 139, -4*w^2 - w + 12]', '[149, 149, 2*w^3 - w^2 - 8*w + 4]', '[149, 149, 2*w^3 + w^2 - 8*w - 4]', '[151, 151, 3*w^2 - 3*w - 8]', '[151, 151, 2*w^3 - 4*w^2 - 8*w + 17]', '[151, 151, w^2 - 2*w - 7]', '[151, 151, w^3 + 2*w^2 - 6*w - 8]', '[179, 179, w^3 - w^2 - 5*w + 1]', '[179, 179, -w^3 - w^2 + 5*w + 1]', '[191, 191, 2*w^3 - w^2 - 7*w + 2]', '[191, 191, 3*w^3 - 2*w^2 - 10*w + 2]', '[199, 199, w^3 - 4*w^2 - 3*w + 13]', '[199, 199, -w^3 - 4*w^2 + 3*w + 13]', '[211, 211, -w^3 + w^2 + 6*w - 5]', '[211, 211, w^3 - 5*w - 5]', '[211, 211, -w^3 + 5*w - 5]', '[211, 211, w^3 + w^2 - 6*w - 5]', '[229, 229, w^3 - 4*w^2 - 2*w + 14]', '[229, 229, 2*w^3 + 3*w^2 - 7*w - 12]', '[229, 229, 2*w^3 - 3*w^2 - 7*w + 12]', '[229, 229, 2*w^3 + w^2 - 7*w - 8]', '[241, 241, w^3 + w^2 - 6*w - 4]', '[241, 241, -w^3 + w^2 + 6*w - 4]', '[251, 251, 2*w^2 - w - 2]', '[251, 251, 2*w^2 + w - 2]', '[271, 271, 2*w^3 - 2*w^2 - 8*w + 5]', '[271, 271, -4*w^2 - w + 14]', '[271, 271, -4*w^2 + w + 14]', '[271, 271, 2*w^3 + 2*w^2 - 8*w - 5]', '[281, 281, -2*w^3 - w^2 + 9*w + 2]', '[281, 281, 2*w^3 - w^2 - 9*w + 2]', '[311, 311, -w^3 + 3*w - 5]', '[311, 311, w^3 - 3*w - 5]', '[331, 331, -3*w^3 + 3*w^2 + 12*w - 13]', '[331, 331, 3*w^3 + 3*w^2 - 12*w - 13]', '[349, 349, 2*w^3 + 2*w^2 - 7*w - 10]', '[349, 349, -2*w^3 + 2*w^2 + 7*w - 10]', '[361, 19, 4*w^2 - 15]', '[361, 19, -4*w^2 + 13]', '[379, 379, -w^3 + 3*w^2 + 3*w - 13]', '[379, 379, w^3 + 3*w^2 - 3*w - 13]', '[409, 409, 3*w^3 - 2*w^2 - 11*w + 2]', '[409, 409, w^3 + 3*w^2 - 6*w - 9]', '[419, 419, -w^3 + w^2 + 6*w + 2]', '[419, 419, -3*w^3 + 5*w^2 + 13*w - 19]', '[421, 421, -w^3 + 3*w^2 + 7*w - 13]', '[421, 421, 2*w^3 - 2*w^2 - 9*w + 6]', '[421, 421, -2*w^3 - 2*w^2 + 9*w + 6]', '[421, 421, w^3 + 3*w^2 - 7*w - 13]', '[439, 439, 3*w^2 + 2*w - 13]', '[439, 439, 3*w^3 + 2*w^2 - 12*w - 10]', '[439, 439, -3*w^3 + 2*w^2 + 12*w - 10]', '[439, 439, 3*w^2 - 2*w - 13]', '[449, 449, 2*w^3 - 4*w^2 - 9*w + 14]', '[449, 449, -3*w^3 + 3*w^2 + 11*w - 9]', '[449, 449, 3*w^3 + 3*w^2 - 11*w - 9]', '[449, 449, w^3 - 2*w^2 - 5*w + 2]', '[461, 461, -w - 5]', '[461, 461, w - 5]', '[499, 499, w^3 - 5*w^2 - w + 17]', '[499, 499, -w^3 - 5*w^2 + w + 17]', '[509, 509, w^3 + 5*w^2 - 4*w - 16]', '[509, 509, w^2 - 2*w - 10]', '[509, 509, w^2 + 2*w - 10]', '[509, 509, w^3 - w^2 - 5*w + 9]', '[541, 541, 3*w^3 - 10*w - 6]', '[541, 541, -2*w^3 + 5*w^2 + 5*w - 16]', '[569, 569, 3*w^3 + 2*w^2 - 13*w - 6]', '[569, 569, -2*w^3 + 4*w^2 + 7*w - 10]', '[599, 599, w^3 + 2*w^2 - 7*w - 10]', '[599, 599, -w^3 + 2*w^2 + 7*w - 10]', '[601, 601, -3*w^3 - w^2 + 12*w + 6]', '[601, 601, 3*w^3 - w^2 - 12*w + 6]', '[619, 619, 3*w^3 - 12*w + 2]', '[619, 619, -3*w^3 + 12*w + 2]', '[631, 631, -w^3 + w^2 + 2*w - 8]', '[631, 631, w^3 + w^2 - 2*w - 8]', '[641, 641, w^3 + w^2 - 7*w - 1]', '[641, 641, -3*w^3 - 2*w^2 + 12*w + 4]', '[641, 641, 3*w^3 - 2*w^2 - 12*w + 4]', '[641, 641, w^3 - w^2 - 7*w + 1]', '[659, 659, -2*w^3 + w^2 + 10*w - 1]', '[659, 659, -w^3 + 5*w^2 + 4*w - 19]', '[659, 659, w^3 + 5*w^2 - 4*w - 19]', '[659, 659, 2*w^3 + w^2 - 10*w - 1]', '[691, 691, 3*w^2 - 2*w - 14]', '[691, 691, 3*w^2 + 2*w - 14]', '[701, 701, w^3 + 4*w^2 - 7*w - 12]', '[701, 701, 3*w^3 - w^2 - 12*w - 1]', '[719, 719, -w^3 + 7*w - 3]', '[719, 719, w^3 - 7*w - 3]', '[739, 739, 3*w^3 + w^2 - 12*w - 3]', '[739, 739, w^3 + 2*w^2 - 3*w - 1]', '[739, 739, -w^3 + 2*w^2 + 3*w - 1]', '[739, 739, -3*w^3 + w^2 + 12*w - 3]', '[751, 751, -2*w^3 + 6*w^2 + 7*w - 20]', '[751, 751, 2*w^3 + 6*w^2 - 7*w - 20]', '[761, 761, 2*w^3 + 6*w^2 - 8*w - 21]', '[761, 761, -2*w^3 + 6*w^2 + 8*w - 21]', '[769, 769, -2*w^3 + 6*w^2 + 8*w - 23]', '[769, 769, w^2 + 2*w + 3]', '[809, 809, 2*w^3 + 3*w^2 - 7*w - 14]', '[809, 809, -2*w^3 + 3*w^2 + 7*w - 14]', '[821, 821, -3*w^3 - w^2 + 11*w + 1]', '[821, 821, 3*w^3 - w^2 - 11*w + 1]', '[829, 829, 3*w^3 - w^2 - 12*w + 4]', '[829, 829, w^3 - 4*w^2 - 6*w + 12]', '[829, 829, -w^3 - 4*w^2 + 6*w + 12]', '[829, 829, -3*w^3 - w^2 + 12*w + 4]', '[839, 839, -w^3 + 3*w - 6]', '[839, 839, w^3 - 3*w - 6]', '[841, 29, 5*w^2 - 19]', '[859, 859, w^3 + 2*w^2 - 7*w - 9]', '[859, 859, -w^3 + 2*w^2 + 7*w - 9]', '[911, 911, -2*w^3 + 4*w^2 + 9*w - 13]', '[911, 911, 2*w^3 + 4*w^2 - 9*w - 13]', '[919, 919, 2*w^3 + 4*w^2 - 7*w - 17]', '[919, 919, 3*w^3 + 2*w^2 - 11*w - 6]', '[919, 919, 3*w^3 - 2*w^2 - 11*w + 6]', '[919, 919, 2*w^3 - 4*w^2 - 7*w + 17]', '[941, 941, -2*w^3 + 2*w^2 + 7*w - 15]', '[941, 941, 2*w^3 + 2*w^2 - 7*w - 15]', '[961, 31, -2*w^2 + 13]', '[971, 971, w^3 + 2*w^2 - 7*w - 7]', '[971, 971, -w^3 + 2*w^2 + 7*w - 7]', '[991, 991, 3*w^3 + 2*w^2 - 11*w - 7]', '[991, 991, -3*w^3 + 2*w^2 + 11*w - 7]']}
78. label: 4.4.4525.1
    {'degree': 4, 'discriminant': 4525, 'ideals': ['[1, 1, 1]', '[5, 5, -1/3*w^3 - 2/3*w^2 + 7/3*w + 4]', '[5, 5, 1/3*w^3 - 4/3*w^2 - 1/3*w + 3]', '[9, 3, -w]', '[9, 3, 1/3*w^3 - 1/3*w^2 - 7/3*w + 1]', '[16, 2, 2]', '[19, 19, 2/3*w^3 - 2/3*w^2 - 11/3*w]', '[19, 19, -1/3*w^3 + 1/3*w^2 + 1/3*w + 1]', '[25, 5, 1/3*w^3 + 2/3*w^2 - 7/3*w - 2]', '[25, 5, -2/3*w^3 + 2/3*w^2 + 8/3*w - 1]', '[25, 5, 2/3*w^3 - 2/3*w^2 - 11/3*w + 3]', '[31, 31, 2/3*w^3 + 1/3*w^2 - 11/3*w - 2]', '[31, 31, 2/3*w^3 - 5/3*w^2 - 5/3*w + 5]', '[41, 41, -1/3*w^3 + 4/3*w^2 + 7/3*w - 6]', '[41, 41, -1/3*w^3 + 4/3*w^2 + 7/3*w - 3]', '[45, 15, -w - 3]', '[45, 15, -1/3*w^3 + 4/3*w^2 + 4/3*w - 2]', '[45, 15, -w^2 + 6]', '[45, 15, -1/3*w^3 + 1/3*w^2 + 7/3*w - 4]', '[61, 61, 1/3*w^3 - 4/3*w^2 + 2/3*w + 4]', '[61, 61, 2/3*w^3 + 1/3*w^2 - 14/3*w - 2]', '[71, 71, -1/3*w^3 + 4/3*w^2 + 1/3*w - 7]', '[71, 71, 1/3*w^3 + 2/3*w^2 - 7/3*w]', '[80, 10, -2/3*w^3 - 4/3*w^2 + 14/3*w + 8]', '[80, 10, 2/3*w^3 - 8/3*w^2 - 2/3*w + 6]', '[81, 3, 3]', '[81, 9, w^2]', '[81, 9, 1/3*w^3 - 4/3*w^2 - 4/3*w + 8]', '[89, 89, -1/3*w^3 + 1/3*w^2 + 10/3*w - 3]', '[89, 89, 1/3*w^3 - 1/3*w^2 - 10/3*w - 1]', '[95, 95, -2/3*w^3 - 1/3*w^2 + 11/3*w + 1]', '[95, 95, -2/3*w^3 + 5/3*w^2 + 5/3*w - 6]', '[95, 95, 2*w + 1]', '[95, 95, 2/3*w^3 - 2/3*w^2 - 14/3*w + 3]', '[101, 101, 1/3*w^3 - 1/3*w^2 - 7/3*w - 3]', '[101, 101, -2/3*w^3 + 5/3*w^2 + 11/3*w - 4]', '[101, 101, 2/3*w^3 - 5/3*w^2 - 8/3*w + 3]', '[101, 101, w - 4]', '[109, 109, 2/3*w^3 + 1/3*w^2 - 8/3*w - 4]', '[109, 109, -w^3 + 2*w^2 + 4*w - 4]', '[121, 11, w^3 - w^2 - 4*w + 1]', '[121, 11, -w^3 + w^2 + 4*w - 2]', '[125, 5, 1/3*w^3 - 4/3*w^2 + 5/3*w + 1]', '[125, 5, -w^3 + 7*w + 4]', '[125, 25, -1/3*w^3 + 4/3*w^2 + 1/3*w]', '[125, 25, -1/3*w^3 - 2/3*w^2 + 7/3*w + 7]', '[131, 131, 4/3*w^3 - 1/3*w^2 - 22/3*w - 1]', '[131, 131, -w^3 + 7*w + 2]', '[139, 139, 2/3*w^3 - 2/3*w^2 - 14/3*w + 1]', '[139, 139, 2*w - 1]', '[139, 139, 1/3*w^3 + 5/3*w^2 - 7/3*w - 10]', '[139, 139, -2/3*w^3 + 8/3*w^2 + 5/3*w - 5]', '[144, 6, -2*w]', '[144, 6, 2/3*w^3 - 2/3*w^2 - 14/3*w + 2]', '[149, 149, w^3 + w^2 - 7*w - 11]', '[149, 149, -w^3 - w^2 + 5*w + 4]', '[151, 151, -2/3*w^3 - 4/3*w^2 + 14/3*w + 5]', '[151, 151, 2/3*w^3 - 8/3*w^2 - 2/3*w + 9]', '[155, 155, -1/3*w^3 - 2/3*w^2 + 4/3*w + 6]', '[155, 155, -1/3*w^3 + 1/3*w^2 + 10/3*w - 2]', '[155, 155, 1/3*w^3 - 1/3*w^2 - 10/3*w]', '[155, 155, 2/3*w^3 - 5/3*w^2 - 8/3*w + 2]', '[169, 13, -2/3*w^3 - 1/3*w^2 + 11/3*w]', '[169, 13, -2/3*w^3 + 5/3*w^2 + 5/3*w - 7]', '[171, 57, -1/3*w^3 + 7/3*w^2 + 1/3*w - 6]', '[171, 57, 1/3*w^3 + 2/3*w^2 - 10/3*w]', '[171, 57, -w^2 + 2*w + 6]', '[171, 57, -2*w^2 + w + 9]', '[179, 179, 4/3*w^3 - 7/3*w^2 - 13/3*w + 6]', '[179, 179, -4/3*w^3 + 1/3*w^2 + 19/3*w + 1]', '[181, 181, 5/3*w^3 - 8/3*w^2 - 20/3*w + 5]', '[181, 181, -1/3*w^3 + 1/3*w^2 + 10/3*w - 1]', '[181, 181, -4/3*w^3 + 1/3*w^2 + 16/3*w + 3]', '[191, 191, w^2 - 3*w - 1]', '[191, 191, -1/3*w^3 + 4/3*w^2 + 10/3*w - 3]', '[199, 199, -w^3 + 3*w^2 + w - 7]', '[199, 199, -4/3*w^3 + 1/3*w^2 + 19/3*w - 1]', '[205, 205, -5/3*w^3 + 11/3*w^2 + 14/3*w - 10]', '[205, 205, -5/3*w^3 - 1/3*w^2 + 26/3*w + 4]', '[205, 205, -2/3*w^3 + 5/3*w^2 + 5/3*w - 8]', '[205, 205, -2/3*w^3 - 1/3*w^2 + 11/3*w - 1]', '[211, 211, -1/3*w^3 - 5/3*w^2 + 4/3*w + 8]', '[211, 211, w^3 - 3*w^2 - 4*w + 8]', '[225, 15, -1/3*w^3 + 7/3*w^2 + 1/3*w - 9]', '[225, 15, -w^3 + w^2 + 6*w - 6]', '[225, 15, -w^3 + 2*w^2 + 4*w - 3]', '[225, 15, -2/3*w^3 - 1/3*w^2 + 8/3*w + 5]', '[225, 15, 2*w^2 - w - 6]', '[225, 15, -w^3 - w^2 + 6*w + 5]', '[229, 229, -4/3*w^3 + 4/3*w^2 + 13/3*w - 4]', '[229, 229, -5/3*w^3 + 5/3*w^2 + 23/3*w - 5]', '[229, 229, 1/3*w^3 - 7/3*w^2 + 2/3*w + 10]', '[229, 229, -2/3*w^3 + 2/3*w^2 + 2/3*w - 3]', '[239, 239, 4/3*w^3 - 1/3*w^2 - 19/3*w - 2]', '[239, 239, -2/3*w^3 + 2/3*w^2 + 11/3*w - 6]', '[251, 251, 2*w^2 - w - 8]', '[251, 251, -1/3*w^3 - 2/3*w^2 + 7/3*w - 2]', '[251, 251, 1/3*w^3 - 4/3*w^2 - 1/3*w + 9]', '[251, 251, -1/3*w^3 + 7/3*w^2 + 1/3*w - 7]', '[256, 4, 4]', '[269, 269, -5/3*w^3 + 8/3*w^2 + 17/3*w - 8]', '[269, 269, -5/3*w^3 + 11/3*w^2 + 17/3*w - 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7]', '[541, 541, 5/3*w^3 - 5/3*w^2 - 26/3*w]', '[569, 569, -w - 5]', '[569, 569, 1/3*w^3 - 1/3*w^2 - 7/3*w + 6]', '[571, 571, w^3 - 4*w - 8]', '[571, 571, -1/3*w^3 + 7/3*w^2 + 7/3*w - 4]', '[599, 599, 5/3*w^3 - 5/3*w^2 - 14/3*w + 4]', '[599, 599, -4/3*w^3 + 13/3*w^2 + 13/3*w - 15]', '[599, 599, 2*w^3 - 3*w^2 - 8*w + 5]', '[599, 599, 7/3*w^3 - 7/3*w^2 - 34/3*w + 6]', '[601, 601, -4/3*w^3 + 13/3*w^2 + 13/3*w - 13]', '[601, 601, -w^3 + 8*w + 5]', '[619, 619, -5/3*w^3 + 11/3*w^2 + 17/3*w - 13]', '[619, 619, 4/3*w^3 + 2/3*w^2 - 19/3*w - 2]', '[631, 631, w^3 - w^2 - 7*w + 1]', '[631, 631, 3*w - 2]', '[641, 641, -2/3*w^3 + 5/3*w^2 + 2/3*w - 7]', '[641, 641, -1/3*w^3 + 7/3*w^2 - 5/3*w - 9]', '[661, 661, -5/3*w^3 + 11/3*w^2 + 20/3*w - 9]', '[661, 661, w^3 + w^2 - 4*w - 7]', '[691, 691, -5/3*w^3 + 8/3*w^2 + 17/3*w - 6]', '[691, 691, 2*w^2 - 3*w - 10]', '[691, 691, 5/3*w^3 - 2/3*w^2 - 23/3*w - 1]', '[691, 691, 1/3*w^3 + 5/3*w^2 - 13/3*w - 3]', '[701, 701, 2/3*w^3 + 4/3*w^2 - 20/3*w - 11]', '[701, 701, -2/3*w^3 - 1/3*w^2 + 17/3*w + 9]', '[709, 709, -2/3*w^3 - 7/3*w^2 + 17/3*w + 11]', '[709, 709, -1/3*w^3 + 10/3*w^2 - 2/3*w - 8]', '[709, 709, -2/3*w^3 + 11/3*w^2 - 1/3*w - 10]', '[709, 709, 3*w^2 - 2*w - 14]', '[719, 719, 7/3*w^3 + 8/3*w^2 - 46/3*w - 21]', '[719, 719, -2*w^3 + 7*w^2 + 2*w - 13]', '[719, 719, 2/3*w^3 + 7/3*w^2 - 14/3*w - 9]', '[719, 719, -w^3 + 4*w^2 + 2*w - 13]', '[761, 761, 1/3*w^3 + 5/3*w^2 - 1/3*w - 8]', '[761, 761, 5/3*w^3 - 2/3*w^2 - 14/3*w + 1]', '[761, 761, -8/3*w^3 + 11/3*w^2 + 38/3*w - 11]', '[761, 761, -4/3*w^3 + 10/3*w^2 + 19/3*w - 9]', '[809, 809, -2/3*w^3 + 11/3*w^2 + 5/3*w - 15]', '[809, 809, 3*w^2 - w - 8]', '[811, 811, 2/3*w^3 + 7/3*w^2 - 14/3*w - 11]', '[811, 811, 1/3*w^3 + 8/3*w^2 - 13/3*w - 10]', '[811, 811, 1/3*w^3 - 10/3*w^2 + 5/3*w + 11]', '[811, 811, -w^3 + 4*w^2 + 2*w - 11]', '[821, 821, 2*w^3 - w^2 - 12*w - 5]', '[821, 821, 1/3*w^3 + 5/3*w^2 - 7/3*w - 14]', '[829, 829, -2/3*w^3 + 11/3*w^2 + 5/3*w - 10]', '[829, 829, 3*w^2 - w - 13]', '[839, 839, 4/3*w^3 - 1/3*w^2 - 25/3*w + 1]', '[839, 839, -2/3*w^3 + 5/3*w^2 - 1/3*w - 6]', '[841, 29, 5/3*w^3 - 5/3*w^2 - 20/3*w + 1]', '[841, 29, -5/3*w^3 + 5/3*w^2 + 20/3*w - 4]', '[859, 859, -1/3*w^3 - 8/3*w^2 + 13/3*w + 11]', '[859, 859, -1/3*w^3 + 10/3*w^2 - 5/3*w - 10]', '[859, 859, 2/3*w^3 - 8/3*w^2 + 1/3*w + 9]', '[859, 859, -2/3*w^3 + 5/3*w^2 + 2/3*w - 8]', '[881, 881, -4/3*w^3 + 16/3*w^2 + 4/3*w - 11]', '[881, 881, 1/3*w^3 - 13/3*w^2 - 4/3*w + 18]', '[911, 911, -1/3*w^3 + 10/3*w^2 + 1/3*w - 14]', '[911, 911, -1/3*w^3 + 10/3*w^2 + 1/3*w - 9]', '[929, 929, 4/3*w^3 - 7/3*w^2 - 22/3*w + 4]', '[929, 929, 1/3*w^3 + 2/3*w^2 + 2/3*w - 6]', '[961, 31, 5/3*w^3 - 5/3*w^2 - 20/3*w + 2]', '[971, 971, -2/3*w^3 + 11/3*w^2 + 2/3*w - 13]', '[971, 971, 1/3*w^3 + 8/3*w^2 - 10/3*w - 9]', '[991, 991, -4/3*w^3 + 10/3*w^2 + 16/3*w - 17]', '[991, 991, -2*w^3 + 4*w^2 + 11*w - 11]']}
79. label: 4.4.4752.1
    {'degree': 4, 'discriminant': 4752, 'ideals': ['[1, 1, 1]', '[3, 3, -w - 1]', '[4, 2, -w^3 + w^2 + 3*w]', '[9, 3, -w^2 + w + 2]', '[11, 11, -w^2 + 3]', '[12, 6, w^3 - w^2 - 3*w + 2]', '[13, 13, w^3 - 2*w^2 - w + 1]', '[13, 13, w^3 - w^2 - 2*w + 1]', '[16, 2, 2]', '[23, 23, -w^3 + w^2 + 4*w - 2]', '[23, 23, w^3 - 2*w^2 - 3*w + 2]', '[27, 3, w^3 - 3*w - 2]', '[33, 33, 2*w - 1]', '[36, 6, -w^3 + w^2 + 5*w]', '[39, 39, w^2 - 2*w - 3]', '[39, 39, w^2 - 4]', '[44, 22, -w^3 + w^2 + w - 2]', '[47, 47, -w^3 + 2*w^2 + 3*w - 1]', '[47, 47, -w^3 + w^2 + 4*w - 3]', '[48, 6, -2*w - 2]', '[52, 26, -w^3 + w^2 + 5*w - 2]', '[52, 26, -w^3 + 2*w^2 + 4*w - 3]', '[59, 59, w^2 - 5]', '[59, 59, w^2 - 2*w - 4]', '[61, 61, -w^3 + 2*w^2 + 4*w - 4]', '[61, 61, w^3 - w^2 - 5*w + 1]', '[64, 4, -2*w^3 + 2*w^2 + 6*w]', '[69, 69, -2*w^2 + w + 3]', '[69, 69, 2*w^2 - 3*w - 2]', '[71, 71, w^3 - w^2 - 2*w - 2]', '[71, 71, -w^3 + 2*w^2 + w - 4]', '[73, 73, 2*w^2 - w - 5]', '[73, 73, w^3 - 2*w^2 - 2*w + 6]', '[81, 3, 3]', '[83, 83, -2*w^3 + 3*w^2 + 6*w - 6]', '[83, 83, -2*w^3 + 4*w^2 + 5*w - 5]', '[83, 83, -2*w^3 + 2*w^2 + 7*w - 2]', '[83, 83, 2*w^3 - 3*w^2 - 6*w + 1]', '[92, 46, w^3 - 3*w^2 - w + 2]', '[92, 46, -w^3 + 4*w - 1]', '[97, 97, -w - 3]', '[97, 97, 2*w^2 - 3*w - 3]', '[97, 97, 2*w^2 - w - 4]', '[97, 97, w - 4]', '[99, 33, w^3 - 2*w^2 - w + 5]', '[107, 107, -w^3 + 3*w^2 - 5]', '[107, 107, -2*w^3 + w^2 + 6*w - 1]', '[107, 107, 2*w^3 - 5*w^2 - 2*w + 4]', '[107, 107, w^3 - 3*w - 3]', '[108, 6, w^3 - 3*w^2 - 3*w + 4]', '[109, 109, 2*w^3 - 3*w^2 - 5*w + 4]', '[109, 109, -2*w^3 + 3*w^2 + 5*w - 2]', '[117, 39, w^2 - 4*w + 1]', '[117, 39, -w^2 - 2*w + 2]', '[121, 11, -2*w^2 + 2*w + 5]', '[121, 11, 2*w^2 - 2*w - 3]', '[132, 66, 2*w^3 - 3*w^2 - 5*w + 3]', '[141, 141, 2*w^3 - 4*w^2 - 3*w + 3]', '[141, 141, 2*w^3 - 2*w^2 - 5*w + 2]', '[143, 143, w^3 - 5*w + 1]', '[143, 143, w^3 - 3*w^2 - 2*w + 3]', '[144, 6, -2*w^2 + 2*w + 4]', '[156, 78, -w^3 + w^2 + w + 2]', '[156, 78, w^3 - 2*w^2 + 3]', '[157, 157, 2*w^3 - 2*w^2 - 9*w + 3]', '[157, 157, -w^3 + 2*w^2 + 3*w - 7]', '[157, 157, -w^3 + w^2 + 4*w + 3]', '[157, 157, -2*w^3 + 4*w^2 + 7*w - 6]', '[169, 13, 2*w^3 - 2*w^2 - 9*w]', '[169, 13, -w^2 + w + 6]', '[169, 169, 2*w^3 - 4*w^2 - 3*w + 4]', '[169, 169, 2*w^3 - 2*w^2 - 5*w + 1]', '[176, 22, -2*w^2 + 6]', '[177, 177, -w^3 - w^2 + 5*w + 5]', '[177, 177, -w^3 + w^2 + 6*w + 4]', '[179, 179, w^3 + 2]', '[179, 179, -2*w^3 + w^2 + 10*w - 1]', '[183, 183, -2*w^3 + 3*w^2 + 8*w]', '[183, 183, w^3 - 3*w^2 - 4*w + 3]', '[188, 94, -w^2 - w + 5]', '[188, 94, -w^2 + 3*w + 3]', '[191, 191, -2*w^3 + 5*w^2 + 4*w - 7]', '[191, 191, 2*w^3 - w^2 - 8*w]', '[192, 12, 2*w^3 - 2*w^2 - 6*w + 4]', '[193, 193, 3*w^2 - 2*w - 9]', '[193, 193, 3*w^2 - 4*w - 8]', '[207, 69, -2*w^3 + 4*w^2 + 5*w - 4]', '[207, 69, 2*w^3 - 2*w^2 - 7*w + 3]', '[208, 26, 2*w^3 - 4*w^2 - 2*w + 2]', '[208, 26, 2*w^3 - 2*w^2 - 4*w + 2]', '[213, 213, -2*w^3 + 8*w + 3]', '[213, 213, w^3 - w + 3]', '[219, 219, -2*w^3 - w^2 + 6*w + 5]', '[219, 219, -w^3 + w^2 - 5]', '[227, 227, -w^3 + 3*w^2 + 3*w - 3]', '[227, 227, w^3 - 3*w - 4]', '[227, 227, -w^3 + 3*w^2 - 6]', '[227, 227, w^3 - 6*w + 2]', '[229, 229, w^3 + w^2 - 6*w - 4]', '[229, 229, w^3 + w^2 - 5*w - 3]', '[229, 229, 2*w^3 - 9*w - 3]', '[229, 229, -w^3 + 4*w^2 + w - 8]', '[236, 118, 3*w^3 - 4*w^2 - 10*w + 1]', '[236, 118, 4*w^3 - 3*w^2 - 15*w - 1]', '[241, 241, 2*w^3 - 3*w^2 - 4*w + 2]', '[241, 241, -2*w^3 + 3*w^2 + 4*w - 3]', '[243, 9, -3*w - 3]', '[244, 122, -w^3 - w^2 + 5*w + 4]', '[244, 122, 3*w^3 - w^2 - 13*w - 4]', '[249, 249, 3*w^3 - 3*w^2 - 8*w + 4]', '[249, 249, 2*w^3 - 3*w^2 - 8*w + 3]', '[249, 249, 4*w^3 - 3*w^2 - 13*w]', '[249, 249, -3*w^3 + 3*w^2 + 13*w + 1]', '[251, 251, -2*w^3 + 4*w^2 + 4*w - 1]', '[251, 251, -2*w^3 + 2*w^2 + 6*w - 5]', '[253, 253, 2*w^3 - 2*w^2 - 9*w + 2]', '[253, 253, -2*w^3 + 4*w^2 + 7*w - 7]', '[256, 4, 4]', '[276, 138, -w^3 + 2*w^2 + 2*w - 7]', '[276, 138, -w^3 + w^2 + 3*w + 4]', '[277, 277, w^3 - w^2 - 6*w + 1]', '[277, 277, -w^3 + 2*w^2 + 5*w - 5]', '[284, 142, 3*w^3 - 4*w^2 - 10*w - 1]', '[284, 142, 2*w^3 - w^2 - 7*w + 1]', '[289, 17, w^3 - w^2 - 6*w + 3]', '[289, 17, -w^3 + 2*w^2 + 5*w - 3]', '[291, 291, -2*w^3 + w^2 + 6*w + 3]', '[291, 291, w^2 + 4*w + 3]', '[291, 291, -w^2 + 3*w + 4]', '[291, 291, -2*w^3 - w^2 + 5*w + 4]', '[292, 146, 2*w^3 - 3*w^2 - 9*w + 1]', '[292, 146, -3*w^3 + 3*w^2 + 9*w - 2]', '[297, 33, -2*w^3 + 3*w^2 + 3*w - 2]', '[299, 299, -w^3 + 2*w^2 - 4]', '[299, 299, -2*w^2 + 5*w + 3]', '[299, 299, 2*w^2 + w - 6]', '[299, 299, -w^3 + w^2 + w + 3]', '[311, 311, 2*w^3 - 3*w^2 - 3*w + 6]', '[311, 311, -3*w^3 + 7*w^2 + 8*w - 12]', '[321, 321, w + 4]', '[321, 321, 5*w^3 - w^2 - 13*w - 1]', '[321, 321, -w^3 + w^2 + 6*w - 2]', '[321, 321, -3*w^3 + 10*w + 4]', '[324, 6, -3*w^3 + 3*w^2 + 9*w]', '[327, 327, 3*w^3 - 2*w^2 - 9*w + 2]', '[327, 327, 3*w^3 - 2*w^2 - 11*w]', '[332, 166, -w^2 + 3*w + 5]', '[332, 166, -2*w^3 + w^2 + 7*w + 5]', '[332, 166, -3*w^3 + 2*w^2 + 14*w + 5]', '[332, 166, 5*w^3 - 4*w^2 - 18*w - 5]', '[337, 337, -w^3 + w^2 + 4*w - 6]', '[337, 337, -2*w^3 + 3*w^2 + 8*w - 5]', '[347, 347, 2*w^3 - 6*w^2 - 5*w + 10]', '[347, 347, 4*w^3 - 5*w^2 - 13*w + 6]', '[347, 347, -4*w^3 + 7*w^2 + 11*w - 8]', '[347, 347, -2*w^3 + 11*w + 1]', '[349, 349, 3*w^2 - w - 6]', '[349, 349, -2*w^3 + 3*w^2 + 10*w + 3]', '[351, 39, -w^3 + 3*w^2 - 7]', '[351, 39, w^3 - 3*w - 5]', '[359, 359, 2*w^3 - 2*w^2 - 7*w + 4]', '[359, 359, -3*w^3 + 4*w^2 + 11*w - 7]', '[359, 359, w^3 - 2*w^2 + w - 4]', '[359, 359, 2*w^3 - 4*w^2 - 5*w + 3]', '[363, 33, -2*w^3 + w^2 + 6*w - 3]', '[363, 33, -2*w^3 + 5*w + 3]', '[368, 46, -2*w^3 + 2*w^2 + 8*w - 4]', '[368, 46, 2*w^3 - 4*w^2 - 6*w + 4]', '[373, 373, -3*w^3 + 3*w^2 + 9*w - 1]', '[373, 373, w^3 + 2*w^2 - 7*w - 9]', '[383, 383, 2*w^2 - 7]', '[383, 383, 2*w^2 - 4*w - 5]', '[388, 194, 4*w^3 - 3*w^2 - 13*w - 1]', '[388, 194, 2*w^3 - w^2 - 11*w - 1]', '[388, 194, w^3 - 2*w^2 - 6*w + 1]', '[388, 194, 3*w^3 - 4*w^2 - 8*w + 1]', '[396, 66, w^3 + w^2 - w - 4]', '[409, 409, -w^3 + 5*w^2 - 3*w - 7]', '[409, 409, -w^3 - 2*w^2 + 4*w + 6]', '[419, 419, w^3 - 3*w - 6]', '[419, 419, -w^3 + 3*w^2 - 8]', '[423, 141, -2*w^3 + w^2 + 8*w - 1]', '[423, 141, -2*w^3 + 5*w^2 + 4*w - 6]', '[428, 214, 2*w^3 - w^2 - 9*w + 1]', '[428, 214, -w^3 + 2*w^2 + 8*w + 3]', '[428, 214, 2*w^3 - 3*w^2 - 3*w - 3]', '[428, 214, 3*w^3 - 4*w^2 - 12*w - 1]', '[429, 429, 3*w^2 - 2*w - 8]', '[429, 429, 3*w^2 - 4*w - 7]', '[432, 6, 2*w^3 - 6*w - 4]', '[436, 218, -w^3 + w^2 + 5*w + 4]', '[436, 218, -3*w^3 + 3*w^2 + 11*w + 4]', '[443, 443, -3*w^3 + 5*w^2 + 10*w - 12]', '[443, 443, -3*w^3 + 7*w^2 + 7*w - 11]', '[457, 457, -w^3 + 2*w^2 + 3*w - 8]', '[457, 457, w^3 - w^2 - 4*w - 4]', '[467, 467, w^2 + 2*w - 6]', '[467, 467, w^2 - 4*w - 3]', '[468, 78, -3*w^3 + 5*w^2 + 7*w - 4]', '[468, 78, -3*w^3 + 4*w^2 + 8*w - 5]', '[471, 471, w^3 - 2*w^2 + 6]', '[471, 471, 2*w^3 - 5*w^2 - 9*w + 4]', '[471, 471, -4*w^3 + 5*w^2 + 14*w - 1]', '[471, 471, w^3 - w^2 - w - 5]', '[484, 22, -w^2 + w - 3]', '[484, 22, w^3 - w^2 - 7*w]', '[491, 491, 3*w^3 - 2*w^2 - 10*w - 4]', '[491, 491, -2*w^3 + 2*w^2 + 7*w - 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5*w^2 - 5*w + 3]', '[1868, 934, 5*w^3 - 2*w^2 - 20*w - 3]', '[1871, 1871, w^3 + 2*w^2 - 5*w - 13]', '[1871, 1871, -4*w^3 + 10*w^2 + 9*w - 16]', '[1872, 78, 2*w^2 - 8*w + 2]', '[1872, 78, -2*w^2 - 4*w + 4]', '[1873, 1873, -w^3 + w^2 + 4*w - 8]', '[1873, 1873, 4*w^3 - 3*w^2 - 8*w + 4]', '[1873, 1873, -w^3 + 3*w^2 + 10*w + 1]', '[1873, 1873, w^3 - 2*w^2 - 3*w - 4]', '[1875, 15, 5*w + 5]', '[1884, 942, -5*w^3 + 8*w^2 + 14*w - 17]', '[1884, 942, -w^3 + 8*w^2 + 2*w - 19]', '[1884, 942, -3*w^2 + w + 13]', '[1884, 942, 5*w^3 - 7*w^2 - 15*w]', '[1907, 1907, -5*w^3 + 9*w^2 + 13*w - 9]', '[1907, 1907, -2*w^3 + 7*w^2 - 3*w - 8]', '[1909, 1909, -w^3 + 4*w^2 + w - 15]', '[1909, 1909, 2*w^3 + 2*w^2 - 13*w - 9]', '[1909, 1909, 2*w^3 + 2*w^2 - 10*w - 11]', '[1909, 1909, 3*w^3 - 7*w^2 - 7*w + 19]', '[1909, 1909, -3*w^3 + 2*w^2 + 12*w + 8]', '[1909, 1909, 2*w^3 - 8*w^2 + 17]', '[1909, 1909, -2*w^3 + 8*w^2 + 3*w - 18]', '[1909, 1909, -w^3 - w^2 + 6*w + 11]', '[1917, 213, -2*w^3 + 3*w^2 + 9*w + 4]', '[1917, 213, -2*w^3 - 3*w^2 + 6*w + 7]', '[1933, 1933, -4*w^3 + 8*w^2 + 7*w - 9]', '[1933, 1933, 4*w^3 - 4*w^2 - 11*w + 2]', '[1936, 22, -4*w^2 + 4*w + 10]', '[1936, 22, 4*w^2 - 4*w - 6]', '[1941, 1941, -6*w^3 + 6*w^2 + 20*w - 1]', '[1941, 1941, 3*w^3 - 6*w^2 - 13*w + 5]', '[1947, 1947, 2*w^3 - w^2 - 10*w + 5]', '[1947, 1947, 2*w^3 - 5*w^2 - 6*w + 4]', '[1964, 982, 9*w^3 - 9*w^2 - 35*w - 6]', '[1964, 982, -w^2 + 5*w + 5]', '[1964, 982, -5*w^3 + 4*w^2 + 16*w + 5]', '[1964, 982, 3*w^3 - 3*w^2 - 11*w + 6]', '[1969, 1969, -4*w^3 + 5*w^2 + 16*w - 6]', '[1969, 1969, -w^3 - 3*w + 3]', '[1971, 219, w^3 + 3*w + 7]', '[1971, 219, 2*w^3 + 3*w^2 - 6*w - 10]', '[1979, 1979, -3*w^3 + 3*w^2 + 10*w - 7]', '[1979, 1979, -6*w^3 + 10*w^2 + 17*w - 10]', '[1979, 1979, -6*w^3 + 8*w^2 + 19*w - 11]', '[1979, 1979, -3*w^3 + 6*w^2 + 7*w - 3]', '[1983, 1983, w^3 - w^2 + 2*w + 4]', '[1983, 1983, -5*w^3 + 16*w + 8]', '[1983, 1983, -2*w^3 + 7*w + 8]', '[1983, 1983, w^3 + w^2 + 3*w + 3]', '[1993, 1993, -w^3 + 2*w^2 + 7*w - 6]', '[1993, 1993, w^3 - w^2 - 8*w + 2]', '[2003, 2003, w^3 + w^2 - 2*w - 7]', '[2003, 2003, -w^3 + 4*w^2 - 3*w - 7]', '[2013, 2013, w^3 - 3*w^2 - w - 3]', '[2013, 2013, w^3 - 4*w + 6]', '[2017, 2017, 4*w^3 - 6*w^2 - 10*w + 7]', '[2017, 2017, 4*w^3 - 7*w^2 - 8*w + 10]', '[2017, 2017, 4*w^3 - 5*w^2 - 10*w + 1]', '[2017, 2017, -4*w^3 + 6*w^2 + 10*w - 5]', '[2019, 2019, -6*w^3 + 2*w^2 + 18*w + 1]', '[2019, 2019, 3*w^3 - 2*w^2 - 11*w + 3]', '[2027, 2027, 3*w^3 - 9*w^2 - 8*w + 15]', '[2027, 2027, 3*w^3 - 17*w - 1]', '[2028, 78, -3*w^3 + 10*w + 7]', '[2028, 78, 5*w^3 - 8*w^2 - 14*w + 5]', '[2028, 1014, 3*w^3 - 6*w^2 - 4*w + 11]', '[2028, 1014, -3*w^3 + 3*w^2 + 7*w + 4]', '[2039, 2039, -4*w^3 + 6*w^2 + 13*w + 1]', '[2039, 2039, -3*w^3 + w^2 + 11*w - 1]', '[2041, 2041, w^3 - 8*w^2 + 10*w + 8]', '[2041, 2041, -4*w^3 + 9*w^2 + 4*w - 8]', '[2041, 2041, w^3 - 6*w^2 + 3*w + 12]', '[2041, 2041, 4*w^2 - 3*w - 9]', '[2041, 2041, -4*w^2 + 5*w + 8]', '[2041, 2041, -4*w^3 + 6*w^2 + 8*w - 9]', '[2041, 2041, -2*w^3 + 2*w^2 + 5*w + 8]', '[2041, 2041, w^3 + 5*w^2 - 3*w - 11]', '[2043, 681, -3*w^3 + 2*w^2 + 10*w - 4]', '[2043, 681, 2*w^2 - 5*w - 7]', '[2043, 681, 2*w^2 + w - 10]', '[2043, 681, 3*w^3 - 7*w^2 - 5*w + 5]', '[2049, 2049, 2*w^2 + 2*w + 3]', '[2049, 2049, -3*w^3 - 2*w^2 + 9*w + 5]', '[2053, 2053, -3*w^3 + 5*w^2 + 12*w - 6]', '[2053, 2053, 3*w^3 - 4*w^2 - 13*w + 8]', '[2061, 687, 2*w^3 - 2*w^2 - 7*w - 6]', '[2061, 687, w^3 - 2*w^2 - 4*w - 4]', '[2061, 687, 3*w^3 - 4*w^2 - 11*w - 4]', '[2061, 687, -2*w^3 + 4*w^2 + 5*w - 13]', '[2068, 1034, w^3 - 6*w^2 + 4*w + 9]', '[2068, 1034, -w^3 - 3*w^2 + 5*w + 8]', '[2089, 2089, 4*w^2 - 3*w - 8]', '[2089, 2089, 4*w^2 - 5*w - 7]', '[2099, 2099, 4*w^3 - 4*w^2 - 11*w + 10]', '[2099, 2099, 4*w^3 - 8*w^2 - 7*w + 1]', '[2101, 2101, -6*w^3 + 11*w^2 + 14*w - 20]', '[2101, 2101, 2*w^3 - 4*w^2 - 10*w + 3]', '[2111, 2111, -w^3 + 5*w^2 - 3*w - 11]', '[2111, 2111, -2*w^3 + w^2 + 12*w + 7]', '[2111, 2111, -2*w^3 + 5*w^2 + 8*w - 18]', '[2111, 2111, w^3 + 2*w^2 - 4*w - 10]', '[2112, 132, 4*w^3 - 6*w^2 - 10*w + 6]', '[2116, 46, w^2 - w + 5]', '[2116, 46, w^3 - w^2 - 9*w]', '[2116, 1058, -w^3 + 6*w^2 - 4*w - 7]', '[2116, 1058, w^3 + 3*w^2 - 5*w - 6]', '[2123, 2123, -2*w^3 + 8*w^2 - 21]', '[2123, 2123, -4*w^3 + 9*w^2 + 6*w - 24]', '[2124, 354, 5*w^3 - 4*w^2 - 20*w + 1]', '[2124, 354, 6*w^3 - 7*w^2 - 23*w - 1]', '[2127, 2127, w^3 - w^2 + 2*w + 7]', '[2127, 2127, -5*w^3 + 5*w^2 + 18*w - 4]', '[2127, 2127, -2*w^3 - 3*w^2 + 4*w + 8]', '[2127, 2127, -2*w^3 + w^2 + 12*w + 6]', '[2137, 2137, -w^3 + w^2 + 8*w - 4]', '[2137, 2137, -3*w^3 + 6*w^2 + 11*w - 12]', '[2137, 2137, 3*w^3 - 3*w^2 - 14*w + 2]', '[2137, 2137, -w^3 + 2*w^2 + 7*w - 4]', '[2148, 1074, w^3 - 2*w^2 - 8*w + 1]', '[2148, 1074, w^3 - 4*w - 9]', '[2157, 2157, -5*w^3 + 3*w^2 + 14*w]', '[2157, 2157, w^3 - 3*w^2 - 7*w + 3]', '[2164, 1082, -4*w^3 + 3*w^2 + 9*w - 3]', '[2164, 1082, -w^3 + 3*w^2 + 9*w]', '[2169, 723, w^3 - w^2 - 8*w + 3]', '[2169, 723, -w^3 + 2*w^2 + 7*w - 5]', '[2187, 9, 3*w^3 - 9*w - 6]', '[2196, 366, -w^3 + w^2 + 5*w + 6]', '[2196, 366, 5*w^3 - 5*w^2 - 19*w - 6]', '[2197, 13, -2*w^3 - 2*w^2 + 13*w + 5]', '[2197, 13, -3*w^3 - w^2 + 11*w + 5]', '[2197, 169, 4*w^3 - 7*w^2 - 8*w + 5]', '[2197, 169, 4*w^3 - 5*w^2 - 10*w + 6]', '[2197, 2197, 2*w^3 - 3*w^2 - 10*w + 3]', '[2197, 2197, 2*w^3 - 3*w^2 - 10*w + 8]', '[2199, 2199, -4*w^3 + 2*w^2 + 11*w - 4]', '[2199, 2199, -2*w^3 - w^2 + 8*w + 10]', '[2209, 47, -4*w^2 + 4*w + 7]', '[2209, 47, 4*w^2 - 4*w - 9]', '[2209, 2209, 4*w^3 - 6*w^2 - 15*w + 8]', '[2209, 2209, 4*w^3 - 6*w^2 - 15*w + 9]', '[2221, 2221, 3*w^3 - 3*w^2 - 14*w + 3]', '[2221, 2221, -3*w^3 + 6*w^2 + 11*w - 11]', '[2229, 2229, -w^3 + 3*w^2 + 8*w + 4]', '[2229, 2229, 2*w^3 - 4*w^2 - 9*w + 6]', '[2229, 2229, -7*w^3 + 4*w^2 + 22*w + 2]', '[2229, 2229, -w^3 - 3*w^2 + 5*w + 7]', '[2231, 2231, 3*w^3 - 7*w^2 - 8*w + 9]', '[2231, 2231, 4*w^3 - 4*w^2 - 14*w + 5]', '[2231, 2231, -4*w^3 + 4*w^2 + 12*w - 7]', '[2231, 2231, -3*w^3 + 6*w^2 + 11*w - 5]', '[2231, 2231, 3*w^3 - 3*w^2 - 14*w + 9]', '[2231, 2231, 4*w^3 - 8*w^2 - 8*w + 5]', '[2231, 2231, -4*w^3 + 8*w^2 + 10*w - 9]', '[2231, 2231, -3*w^3 + 2*w^2 + 13*w - 3]', '[2241, 249, 2*w^3 - 6*w^2 - 9*w + 8]', '[2241, 249, 5*w^3 - 6*w^2 - 15*w + 5]', '[2241, 249, 4*w^3 - 6*w^2 - 18*w + 1]', '[2241, 249, -7*w^3 + 6*w^2 + 24*w + 2]', '[2243, 2243, -w^3 + 3*w^2 - 3*w - 5]', '[2243, 2243, 4*w^3 - 6*w^2 - 15*w + 2]', '[2243, 2243, 6*w^3 - 4*w^2 - 25*w - 2]', '[2243, 2243, w^3 - 6]', '[2256, 282, 4*w^3 - 8*w^2 - 6*w + 6]', '[2256, 282, 4*w^3 - 4*w^2 - 10*w + 4]', '[2259, 753, -2*w^3 - w^2 + 13*w]', '[2259, 753, -2*w^3 + 7*w^2 + 5*w - 10]', '[2267, 2267, -2*w^3 + 6*w^2 + 5*w - 7]', '[2267, 2267, 2*w^3 - 11*w + 2]', '[2277, 759, 5*w^3 - 7*w^2 - 14*w + 4]', '[2277, 759, -5*w^3 + 8*w^2 + 13*w - 12]', '[2288, 286, 2*w^3 - 10*w + 2]', '[2288, 286, 2*w^3 - 6*w^2 - 4*w + 6]', '[2292, 1146, w^2 + 3*w + 5]', '[2292, 1146, -3*w^3 + 10*w^2 + 6*w - 19]', '[2301, 2301, 2*w^3 - 6*w^2 - 4*w + 19]', '[2301, 2301, -5*w^2 + 6*w + 14]', '[2301, 2301, -5*w^2 + 4*w + 15]', '[2301, 2301, -2*w^3 + 10*w + 11]', '[2304, 12, -4*w^2 + 4*w + 8]', '[2307, 2307, -2*w^3 + w^2 + 10*w - 8]', '[2307, 2307, w^3 - 4*w^2 + 2*w + 10]', '[2308, 1154, -3*w^3 + 4*w^2 + 14*w - 1]', '[2308, 1154, -3*w^3 - w^2 + 13*w + 10]', '[2308, 1154, -w^3 + 4*w^2 + 6*w - 7]', '[2308, 1154, 4*w^3 - 3*w^2 - 19*w - 1]', '[2316, 1158, -5*w^3 + 12*w^2 + 16*w - 19]', '[2316, 1158, -6*w^3 + 11*w^2 + 17*w - 15]', '[2327, 2327, 3*w^2 - 7*w - 6]', '[2327, 2327, w^3 - 3*w^2 + 2*w + 7]', '[2327, 2327, -w^3 + 9*w^2 - 14*w - 7]', '[2327, 2327, -3*w^2 - w + 10]', '[2339, 2339, 3*w^2 - 6*w - 8]', '[2339, 2339, 2*w^3 - w^2 - 10*w + 6]', '[2339, 2339, -2*w^3 + 5*w^2 + 6*w - 3]', '[2339, 2339, 3*w^2 - 11]', '[2343, 2343, w^3 - 6*w^2 - w + 6]', '[2343, 2343, w^3 + 3*w^2 - 10*w]', '[2348, 1174, 3*w^3 - 7*w^2 - 7*w + 8]', '[2348, 1174, 3*w^3 - 2*w^2 - 12*w + 3]', '[2351, 2351, -3*w^3 + 8*w^2 + 4*w - 20]', '[2351, 2351, 2*w^3 - w^2 - 5*w - 6]', '[2351, 2351, -2*w^3 + 5*w^2 + w - 10]', '[2351, 2351, 3*w^3 - w^2 - 11*w - 11]', '[2379, 2379, -5*w^3 + 7*w^2 + 16*w - 2]', '[2379, 2379, -4*w^3 + 4*w^2 + 15*w - 5]', '[2379, 2379, 4*w^3 - 8*w^2 - 11*w + 10]', '[2379, 2379, 5*w^3 - 8*w^2 - 15*w + 16]', '[2389, 2389, 4*w^3 - 7*w^2 - 10*w + 18]', '[2389, 2389, -4*w^3 + 5*w^2 + 12*w + 5]', '[2396, 1198, -4*w^3 + 7*w^2 + 11*w - 5]', '[2396, 1198, -4*w^3 + 5*w^2 + 13*w - 9]', '[2399, 2399, 2*w^2 - 5*w - 8]', '[2399, 2399, 2*w^2 + w - 11]', '[2401, 7, -7]', '[2404, 1202, 3*w^3 - 3*w^2 - 13*w - 6]', '[2404, 1202, -3*w^3 + 3*w^2 + 11*w + 6]', '[2409, 2409, -w^3 + 4*w^2 + 6*w - 8]', '[2409, 2409, 4*w^3 - 4*w^2 - 9*w + 5]', '[2411, 2411, 4*w^3 - 3*w^2 - 15*w + 2]', '[2411, 2411, -4*w^3 + 8*w^2 + 13*w - 10]', '[2411, 2411, -4*w^3 + 4*w^2 + 17*w - 7]', '[2411, 2411, -4*w^3 + 9*w^2 + 9*w - 12]', '[2423, 2423, 3*w^3 - 2*w^2 - 9*w - 6]', '[2423, 2423, -3*w^3 + 7*w^2 + 4*w - 14]', '[2437, 2437, 5*w^2 - 2*w - 12]', '[2437, 2437, 5*w^2 - 8*w - 9]', '[2444, 1222, -w^2 - 3*w + 11]', '[2444, 1222, w^3 - 5*w^2 - 3*w + 14]', '[2444, 1222, -w^3 - 2*w^2 + 10*w + 7]', '[2444, 1222, -w^2 + 5*w + 7]', '[2447, 2447, 2*w^3 - 9*w + 3]', '[2447, 2447, -2*w^3 + 6*w^2 + 3*w - 4]', '[2452, 1226, 2*w^3 - 3*w^2 - 11*w + 1]', '[2452, 1226, 3*w^3 - 2*w^2 - 16*w - 1]', '[2459, 2459, -4*w^3 + 6*w^2 + 13*w - 14]', '[2459, 2459, w^3 + 2*w^2 - 2*w - 8]', '[2459, 2459, -w^3 + 5*w^2 - 5*w - 7]', '[2459, 2459, -4*w^3 + 6*w^2 + 13*w - 1]', '[2461, 2461, 3*w^3 - 4*w^2 - 13*w + 4]', '[2461, 2461, 5*w^3 - 10*w^2 - 10*w + 12]', '[2461, 2461, -3*w + 10]', '[2461, 2461, 3*w^3 + 2*w^2 - 10*w - 8]', '[2461, 2461, -3*w^3 + 11*w^2 - 3*w - 13]', '[2461, 2461, 3*w + 7]', '[2461, 2461, -5*w^3 + 5*w^2 + 15*w - 3]', '[2461, 2461, -3*w^3 + 5*w^2 + 12*w - 10]', '[2473, 2473, -4*w^3 + 6*w^2 + 9*w - 3]', '[2473, 2473, -2*w^3 + 2*w^2 + 11*w - 4]', '[2473, 2473, -2*w^3 + 4*w^2 + 9*w - 7]', '[2473, 2473, 4*w^3 - 6*w^2 - 9*w + 8]', '[2481, 2481, -w^3 + 6*w^2 - w - 14]', '[2481, 2481, 5*w^3 - 2*w^2 - 11*w + 2]', '[2481, 2481, w^3 - 2*w^2 - 9*w]', '[2481, 2481, w^3 + 3*w^2 - 8*w - 10]', '[2483, 2483, w^3 + 3*w + 3]', '[2483, 2483, -3*w^2 + 9*w + 4]', '[2483, 2483, 3*w^2 + 3*w - 10]', '[2483, 2483, w^3 - 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9*w^2 - 14*w + 13]', '[9789, 9789, 4*w^3 - w^2 - 24*w - 1]', '[9789, 9789, 4*w^3 - 11*w^2 - 14*w + 22]', '[9789, 9789, 6*w^3 - 9*w^2 - 14*w + 4]', '[9791, 9791, 2*w^2 + 3*w - 16]', '[9791, 9791, 2*w^2 - 7*w - 11]', '[9801, 33, -6*w^2 + 6*w + 15]', '[9801, 33, 6*w^2 - 6*w - 9]', '[9803, 9803, 7*w^3 - 17*w^2 - 10*w + 19]', '[9803, 9803, 2*w^3 - 4*w - 9]', '[9803, 9803, -2*w^3 + 6*w^2 - 2*w - 11]', '[9803, 9803, 7*w^3 - 4*w^2 - 23*w + 1]', '[9808, 1226, 6*w^2 - 4*w - 12]', '[9808, 1226, 6*w^2 - 8*w - 10]', '[9829, 9829, -w^3 + 3*w^2 - w - 15]', '[9829, 9829, w^3 - 2*w - 14]', '[9836, 4918, w^3 - 4*w^2 + 4*w + 11]', '[9836, 4918, 3*w^3 - 7*w^2 - 13*w + 2]', '[9836, 4918, 5*w^3 - w^2 - 25*w - 2]', '[9836, 4918, -12*w^3 + 9*w^2 + 43*w + 11]', '[9839, 9839, 5*w^2 - 16]', '[9839, 9839, 5*w^2 - 10*w - 11]', '[9844, 4922, -5*w^3 + 6*w^2 + 10*w - 3]', '[9844, 4922, -3*w^2 + 13*w - 7]', '[9844, 4922, -3*w^3 + 13*w^2 - 7*w - 10]', '[9844, 4922, 4*w^3 + 3*w^2 - 5*w + 3]', '[9844, 4922, -4*w^3 + 15*w^2 - 13*w + 5]', '[9844, 4922, 3*w^3 + 4*w^2 - 10*w - 7]', '[9844, 4922, -3*w^2 - 7*w + 3]', '[9844, 4922, 5*w^3 - 9*w^2 - 7*w + 8]', '[9851, 9851, -4*w^3 + 9*w^2 + 13*w - 10]', '[9851, 9851, -2*w^3 + 8*w^2 + 8*w - 21]', '[9851, 9851, -2*w^3 - 2*w^2 + 18*w + 7]', '[9851, 9851, -4*w^3 + 3*w^2 + 19*w - 8]', '[9867, 9867, 7*w^3 - 13*w^2 - 21*w + 17]', '[9867, 9867, -3*w^3 - w^2 + 8*w + 9]', '[9867, 9867, -3*w^3 + 10*w^2 - 3*w - 13]', '[9867, 9867, -7*w^3 + 8*w^2 + 26*w - 10]', '[9887, 9887, 4*w^3 - 2*w^2 - 14*w + 5]', '[9887, 9887, 4*w^3 - 10*w^2 - 6*w + 7]', '[9892, 4946, -6*w^3 + 7*w^2 + 21*w + 7]', '[9892, 4946, -5*w^3 + 24*w + 9]', '[9892, 4946, -4*w^3 - w^2 + 17*w + 9]', '[9892, 4946, w^3 - 2*w^2 - 6*w - 7]', '[9901, 9901, -3*w^3 + 4*w^2 + 15*w - 9]', '[9901, 9901, 5*w^3 - 7*w^2 - 26*w - 3]', '[9901, 9901, 6*w^3 - 7*w^2 - 14*w + 10]', '[9901, 9901, -3*w^3 + 5*w^2 + 14*w - 7]', '[9903, 9903, 6*w^3 - 9*w^2 - 20*w + 4]', '[9903, 9903, -2*w^3 - 2*w^2 + 15*w + 12]', '[9903, 9903, -2*w^3 + 8*w^2 + 5*w - 23]', '[9903, 9903, 3*w^3 - 9*w^2 - 16*w + 5]', '[9923, 9923, -4*w^3 + 10*w^2 + 5*w - 26]', '[9923, 9923, 4*w^3 - 2*w^2 - 13*w - 15]', '[9924, 4962, 6*w^3 - 7*w^2 - 25*w + 3]', '[9924, 4962, -5*w^3 + 3*w^2 + 11*w - 12]', '[9924, 4962, w^3 + 5*w^2 - 7*w - 8]', '[9924, 4962, 9*w^3 - 8*w^2 - 38*w - 3]', '[9927, 3309, -3*w^3 - w^2 + 19*w + 11]', '[9927, 3309, -8*w^3 + 4*w^2 + 29*w + 11]', '[9932, 4966, 5*w^3 - w^2 - 17*w - 10]', '[9932, 4966, 6*w^3 - 5*w^2 - 19*w - 9]', '[9932, 4966, 6*w^3 - 13*w^2 - 11*w + 27]', '[9932, 4966, 5*w^3 - 14*w^2 - 4*w + 23]', '[9936, 138, 2*w^3 - 6*w + 8]', '[9936, 138, 2*w^3 - 6*w^2 - 4]', '[9939, 9939, -2*w^3 + 11*w^2 + 5*w - 26]', '[9939, 9939, -w^3 - 3*w^2 + 4*w + 15]', '[9948, 4974, -2*w^3 + 5*w^2 - w - 11]', '[9948, 4974, -3*w^3 - w^2 + 9*w + 10]', '[9948, 4974, -3*w^3 + 11*w^2 + 9*w - 26]', '[9948, 4974, 5*w^3 - 6*w^2 - 8*w + 15]', '[9949, 9949, 7*w^3 - 6*w^2 - 20*w + 4]', '[9949, 9949, 3*w^2 - 4*w - 17]', '[9949, 9949, 3*w^2 - 2*w - 18]', '[9949, 9949, 7*w^3 - 15*w^2 - 11*w + 15]', '[9969, 9969, 2*w^2 + 8*w + 9]', '[9969, 9969, -3*w^3 - 2*w^2 + 15*w + 11]', '[9971, 767, -w^3 + 8*w^2 - w - 29]', '[9971, 767, w^3 + w - 11]', '[9971, 767, -w^3 + 3*w^2 - 4*w - 9]', '[9971, 767, w^3 + 5*w^2 - 12*w - 23]', '[9971, 9971, -5*w^3 + 9*w^2 + 15*w - 7]', '[9971, 9971, -7*w^3 + 16*w^2 + 13*w - 20]', '[9971, 9971, -7*w^3 + 5*w^2 + 24*w - 2]', '[9971, 9971, -5*w^3 + 6*w^2 + 18*w - 12]', '[9972, 1662, 6*w^3 - 7*w^2 - 23*w - 7]', '[9972, 1662, -w^3 + 2*w^2 + 4*w + 7]', '[9973, 9973, w^3 + 5*w^2 - 6*w - 12]', '[9973, 9973, -w^3 + 8*w^2 - 7*w - 12]', '[9984, 156, 4*w^2 - 8*w - 12]', '[9984, 156, 4*w^2 - 16]', '[9988, 4994, 3*w^3 - 2*w^2 - 8*w + 11]', '[9988, 4994, -5*w^3 + 7*w^2 + 7*w - 6]', '[9988, 4994, -3*w^3 - 5*w^2 + w + 8]', '[9988, 4994, -2*w^3 - 5*w^2 + 7*w + 9]', '[9997, 9997, w^3 + 7*w^2 - 17*w - 15]', '[9997, 9997, w^3 + 5*w^2 - 10*w - 16]', '[9997, 9997, 7*w^3 - 14*w^2 - 13*w + 21]', '[9997, 9997, 2*w^3 - 3*w^2 - 13*w + 12]', '[10000, 10, -10]'], 'label': '4.4.4752.1', 'narrow_class_no': 2, 'primes': ['[3, 3, -w - 1]', '[4, 2, -w^3 + w^2 + 3*w]', '[11, 11, -w^2 + 3]', '[13, 13, w^3 - 2*w^2 - w + 1]', '[13, 13, w^3 - w^2 - 2*w + 1]', '[23, 23, -w^3 + w^2 + 4*w - 2]', '[23, 23, w^3 - 2*w^2 - 3*w + 2]', '[47, 47, -w^3 + 2*w^2 + 3*w - 1]', '[47, 47, -w^3 + w^2 + 4*w - 3]', '[59, 59, w^2 - 5]', '[59, 59, w^2 - 2*w - 4]', '[61, 61, -w^3 + 2*w^2 + 4*w - 4]', '[61, 61, w^3 - w^2 - 5*w + 1]', '[71, 71, w^3 - w^2 - 2*w - 2]', '[71, 71, -w^3 + 2*w^2 + w - 4]', '[73, 73, 2*w^2 - w - 5]', '[73, 73, w^3 - 2*w^2 - 2*w + 6]', '[83, 83, -2*w^3 + 3*w^2 + 6*w - 6]', '[83, 83, -2*w^3 + 4*w^2 + 5*w - 5]', '[83, 83, -2*w^3 + 2*w^2 + 7*w - 2]', '[83, 83, 2*w^3 - 3*w^2 - 6*w + 1]', '[97, 97, -w - 3]', '[97, 97, 2*w^2 - 3*w - 3]', '[97, 97, 2*w^2 - w - 4]', '[97, 97, w - 4]', '[107, 107, -w^3 + 3*w^2 - 5]', '[107, 107, -2*w^3 + w^2 + 6*w - 1]', '[107, 107, 2*w^3 - 5*w^2 - 2*w + 4]', '[107, 107, w^3 - 3*w - 3]', '[109, 109, 2*w^3 - 3*w^2 - 5*w + 4]', '[109, 109, -2*w^3 + 3*w^2 + 5*w - 2]', '[121, 11, 2*w^2 - 2*w - 3]', '[157, 157, 2*w^3 - 2*w^2 - 9*w + 3]', '[157, 157, -w^3 + 2*w^2 + 3*w - 7]', '[157, 157, -w^3 + w^2 + 4*w + 3]', '[157, 157, -2*w^3 + 4*w^2 + 7*w - 6]', '[169, 13, 2*w^3 - 2*w^2 - 9*w]', '[179, 179, w^3 + 2]', '[179, 179, -2*w^3 + w^2 + 10*w - 1]', '[191, 191, -2*w^3 + 5*w^2 + 4*w - 7]', '[191, 191, 2*w^3 - w^2 - 8*w]', '[193, 193, 3*w^2 - 2*w - 9]', '[193, 193, 3*w^2 - 4*w - 8]', '[227, 227, -w^3 + 3*w^2 + 3*w - 3]', '[227, 227, w^3 - 3*w - 4]', '[227, 227, -w^3 + 3*w^2 - 6]', '[227, 227, w^3 - 6*w + 2]', '[229, 229, w^3 + w^2 - 6*w - 4]', '[229, 229, w^3 + w^2 - 5*w - 3]', '[229, 229, 2*w^3 - 9*w - 3]', '[229, 229, -w^3 + 4*w^2 + w - 8]', '[241, 241, 2*w^3 - 3*w^2 - 4*w + 2]', '[241, 241, -2*w^3 + 3*w^2 + 4*w - 3]', '[251, 251, -2*w^3 + 4*w^2 + 4*w - 1]', '[251, 251, -2*w^3 + 2*w^2 + 6*w - 5]', '[277, 277, w^3 - w^2 - 6*w + 1]', '[277, 277, -w^3 + 2*w^2 + 5*w - 5]', '[289, 17, w^3 - w^2 - 6*w + 3]', '[289, 17, -w^3 + 2*w^2 + 5*w - 3]', '[311, 311, 2*w^3 - 3*w^2 - 3*w + 6]', '[311, 311, -3*w^3 + 7*w^2 + 8*w - 12]', '[337, 337, -w^3 + w^2 + 4*w - 6]', '[337, 337, -2*w^3 + 3*w^2 + 8*w - 5]', '[347, 347, 2*w^3 - 6*w^2 - 5*w + 10]', '[347, 347, 4*w^3 - 5*w^2 - 13*w + 6]', '[347, 347, -4*w^3 + 7*w^2 + 11*w - 8]', '[347, 347, -2*w^3 + 11*w + 1]', '[349, 349, 3*w^2 - w - 6]', '[349, 349, -2*w^3 + 3*w^2 + 10*w + 3]', '[359, 359, 2*w^3 - 2*w^2 - 7*w + 4]', '[359, 359, -3*w^3 + 4*w^2 + 11*w - 7]', '[359, 359, w^3 - 2*w^2 + w - 4]', '[359, 359, 2*w^3 - 4*w^2 - 5*w + 3]', '[373, 373, -3*w^3 + 3*w^2 + 9*w - 1]', '[373, 373, w^3 + 2*w^2 - 7*w - 9]', '[383, 383, 2*w^2 - 7]', '[383, 383, 2*w^2 - 4*w - 5]', '[409, 409, -w^3 + 5*w^2 - 3*w - 7]', '[409, 409, -w^3 - 2*w^2 + 4*w + 6]', '[419, 419, w^3 - 3*w - 6]', '[419, 419, -w^3 + 3*w^2 - 8]', '[443, 443, -3*w^3 + 5*w^2 + 10*w - 12]', '[443, 443, -3*w^3 + 7*w^2 + 7*w - 11]', '[457, 457, -w^3 + 2*w^2 + 3*w - 8]', '[457, 457, w^3 - w^2 - 4*w - 4]', '[467, 467, w^2 + 2*w - 6]', '[467, 467, w^2 - 4*w - 3]', '[491, 491, 3*w^3 - 2*w^2 - 10*w - 4]', '[491, 491, -2*w^3 + 2*w^2 + 7*w - 5]', '[491, 491, -2*w^3 + 4*w^2 + 5*w - 2]', '[491, 491, -3*w^3 + 7*w^2 + 5*w - 13]', '[529, 23, 3*w^2 - 3*w - 4]', '[541, 541, 2*w^3 - 2*w^2 - 5*w + 7]', '[541, 541, -4*w^3 + 7*w^2 + 10*w - 12]', '[577, 577, 3*w^2 - 2*w - 7]', '[577, 577, -3*w^3 + 6*w^2 + 10*w - 10]', '[577, 577, -2*w^3 - w^2 + 7*w + 4]', '[577, 577, 3*w^2 - 4*w - 6]', '[587, 587, 2*w^3 - w^2 - 6*w - 4]', '[587, 587, 2*w^3 - w^2 - 11*w - 4]', '[599, 599, -4*w^3 + 3*w^2 + 14*w + 5]', '[599, 599, -w^3 + 7*w + 5]', '[601, 601, 3*w^3 - 4*w^2 - 8*w + 4]', '[601, 601, -3*w^3 + 5*w^2 + 7*w - 5]', '[613, 613, 3*w^2 - 2*w - 6]', '[613, 613, 3*w^2 - 4*w - 5]', '[625, 5, -5]', '[647, 647, 3*w^3 - 3*w^2 - 12*w + 4]', '[647, 647, -3*w^3 + 6*w^2 + 9*w - 8]', '[661, 661, w^3 + 2*w^2 - 5*w - 7]', '[661, 661, -w^2 - 3]', '[661, 661, -w^2 + 2*w - 4]', '[661, 661, -w^3 + 5*w^2 - 2*w - 9]', '[673, 673, 3*w^3 - 3*w^2 - 8*w + 2]', '[673, 673, -3*w^3 + 6*w^2 + 5*w - 6]', '[683, 683, -w^3 + 3*w^2 - 2*w - 4]', '[683, 683, w^3 - w - 4]', '[709, 709, 4*w^3 - 7*w^2 - 10*w + 8]', '[709, 709, w^3 - w^2 - 3*w - 5]', '[709, 709, -w^3 + 2*w^2 + 2*w - 8]', '[709, 709, -w^3 + 5*w^2 + w - 9]', '[719, 719, 2*w^3 - w^2 - 8*w + 2]', '[719, 719, -2*w^3 + 5*w^2 + 4*w - 5]', '[733, 733, -w^3 + 5*w^2 - w - 11]', '[733, 733, 3*w^3 - 5*w^2 - 6*w + 7]', '[743, 743, w^2 - 4*w - 4]', '[743, 743, -3*w^3 + 7*w^2 + 6*w - 9]', '[743, 743, 3*w^3 - 2*w^2 - 11*w + 1]', '[743, 743, w^2 + 2*w - 7]', '[769, 769, -2*w^2 - 3*w + 4]', '[769, 769, 4*w^3 - 4*w^2 - 14*w - 5]', '[827, 827, -w^2 + 4*w + 7]', '[827, 827, -2*w^3 + w^2 + 7*w - 4]', '[827, 827, -2*w^3 + 5*w^2 + 3*w - 2]', '[827, 827, -2*w^3 + w^2 + 11*w + 6]', '[829, 829, -2*w^3 + 4*w^2 + 8*w - 9]', '[829, 829, -3*w^3 + 5*w^2 + 6*w - 3]', '[829, 829, 3*w^3 - 4*w^2 - 7*w + 5]', '[829, 829, 2*w^3 - 2*w^2 - 10*w + 1]', '[839, 839, 2*w^3 - 9*w]', '[839, 839, 2*w^2 - 4*w - 7]', '[841, 29, -4*w^3 + 9*w^2 + 6*w - 11]', '[841, 29, 4*w^2 - 3*w - 12]', '[853, 853, -3*w^3 + 5*w^2 + 11*w - 7]', '[853, 853, -3*w^3 + 4*w^2 + 12*w - 6]', '[863, 863, -3*w^3 + 2*w^2 + 10*w - 2]', '[863, 863, 4*w^3 - 6*w^2 - 11*w + 13]', '[877, 877, -w^3 - w^2 + 10*w]', '[877, 877, w^3 - 3*w^2 - 8*w]', '[887, 887, -3*w^3 + 4*w^2 + 10*w - 8]', '[887, 887, w^3 - 5*w^2 - 4*w + 12]', '[887, 887, w^3 + 2*w^2 - 11*w - 4]', '[887, 887, 3*w^3 - 5*w^2 - 9*w + 3]', '[911, 911, 4*w^3 - 3*w^2 - 14*w + 1]', '[911, 911, 5*w^3 - 6*w^2 - 17*w - 1]', '[937, 937, w^3 + 2*w^2 - 7*w - 7]', '[937, 937, w^3 - 5*w^2 + 11]', '[947, 947, 2*w^3 - w^2 - 10*w + 3]', '[947, 947, -2*w^3 + 5*w^2 + 6*w - 6]', '[961, 31, -4*w^3 + 8*w^2 + 13*w - 13]', '[961, 31, 2*w^3 + w^2 - 8*w - 5]', '[971, 971, -5*w^3 + 7*w^2 + 15*w - 11]', '[971, 971, -2*w^3 + 6*w + 5]', '[983, 983, 2*w^3 - 4*w^2 - 7*w + 1]', '[983, 983, 4*w^2 + 3*w - 3]', '[997, 997, 3*w^3 - 5*w^2 - 6*w + 4]', '[997, 997, -3*w^3 + 4*w^2 + 7*w - 4]']}
80. label: 4.4.4913.1
    {'degree': 4, 'discriminant': 4913, 'ideals': ['[1, 1, 1]', '[4, 2, -1/2*w^3 + 3*w + 5/2]', '[4, 2, w^3 - w^2 - 6*w]', '[13, 13, -1/2*w^3 + w^2 + 3*w - 1/2]', '[13, 13, 1/2*w^3 - w^2 - 3*w + 7/2]', '[13, 13, -1/2*w^3 + 4*w - 1/2]', '[13, 13, -1/2*w^3 + 4*w + 5/2]', '[16, 2, 2]', '[16, 4, w^3 - w^2 - 5*w]', '[16, 4, w^3 - w^2 - 5*w + 1]', '[17, 17, 1/2*w^3 - w^2 - w + 3/2]', '[47, 47, -w^2 + 2]', '[47, 47, -w^3 + 2*w^2 + 5*w - 5]', '[47, 47, -3/2*w^3 + w^2 + 10*w + 3/2]', '[47, 47, -1/2*w^3 + 5*w - 1/2]', '[52, 26, -w^3 + 2*w^2 + 5*w - 4]', '[52, 26, -w^3 + w^2 + 7*w - 2]', '[52, 26, w^2 - w - 4]', '[52, 26, w^3 - w^2 - 7*w]', '[52, 26, -w^2 + w + 2]', '[52, 26, -3/2*w^3 + w^2 + 10*w + 1/2]', '[52, 26, -w^2 + 3]', '[52, 26, 1/2*w^3 - 5*w - 1/2]', '[64, 4, -w^3 + 6*w + 5]', '[64, 4, 2*w^3 - 2*w^2 - 12*w]', '[64, 8, w^3 - w^2 - 5*w + 4]', '[64, 8, -w^3 + w^2 + 5*w + 3]', '[67, 67, 3/2*w^3 - 2*w^2 - 8*w + 3/2]', '[67, 67, 1/2*w^3 - 2*w - 5/2]', '[67, 67, -1/2*w^3 + w^2 + w - 5/2]', '[67, 67, -3/2*w^3 + w^2 + 9*w - 1/2]', '[68, 34, -w^2 + w + 3]', '[68, 34, w^3 - w^2 - 7*w + 1]', '[81, 3, -3]', '[89, 89, w^2 - 2*w - 4]', '[89, 89, 3/2*w^3 - 2*w^2 - 9*w + 3/2]', '[89, 89, -1/2*w^3 + w^2 + 4*w - 7/2]', '[89, 89, -w^3 + 7*w + 1]', '[101, 101, -1/2*w^3 + 3*w - 5/2]', '[101, 101, -1/2*w^3 + w^2 + 2*w - 11/2]', '[101, 101, -w^3 + w^2 + 6*w + 3]', '[101, 101, w - 4]', '[103, 103, 3/2*w^3 - 3*w^2 - 7*w + 7/2]', '[103, 103, -w^2 + 8]', '[103, 103, -1/2*w^3 - w^2 + 3*w + 11/2]', '[103, 103, -1/2*w^3 - w^2 + 3*w + 13/2]', '[137, 137, 1/2*w^3 - 2*w - 7/2]', '[137, 137, -1/2*w^3 + w^2 + w - 7/2]', '[137, 137, 3/2*w^3 - 2*w^2 - 8*w + 1/2]', '[137, 137, -3/2*w^3 + w^2 + 9*w - 3/2]', '[149, 149, 3/2*w^3 - 9*w - 13/2]', '[149, 149, 7/2*w^3 - 3*w^2 - 21*w - 3/2]', '[149, 149, 2*w^3 - 2*w^2 - 12*w - 1]', '[149, 149, -w^2 + 6]', '[157, 157, -5/2*w^3 + 3*w^2 + 13*w - 9/2]', '[157, 157, -2*w^3 + 3*w^2 + 12*w - 4]', '[157, 157, 1/2*w^3 - 2*w^2 - 2*w + 15/2]', '[157, 157, 5/2*w^3 - 2*w^2 - 14*w - 3/2]', '[169, 13, -5/2*w^3 + 2*w^2 + 14*w + 1/2]', '[169, 13, 3/2*w^3 - w^2 - 7*w - 1/2]', '[169, 13, -3/2*w^3 + 2*w^2 + 6*w - 3/2]', '[169, 13, 5/2*w^3 - 3*w^2 - 13*w + 7/2]', '[169, 13, -2*w^3 + 2*w^2 + 10*w + 1]', '[169, 13, -2*w^3 + 2*w^2 + 10*w - 3]', '[169, 169, 3/2*w^3 - 2*w^2 - 10*w + 5/2]', '[169, 169, -1/2*w^3 - w^2 + 5*w + 7/2]', '[169, 169, 3/2*w^3 - 2*w^2 - 10*w + 7/2]', '[169, 169, -1/2*w^3 - w^2 + 5*w + 9/2]', '[188, 94, 2*w^3 - 3*w^2 - 11*w + 4]', '[188, 94, 1/2*w^3 - w^2 - 4*w + 9/2]', '[188, 94, -3/2*w^3 + 2*w^2 + 9*w - 1/2]', '[188, 94, w^2 - 3*w - 3]', '[188, 94, w^2 + w - 4]', '[188, 94, -2*w^3 + w^2 + 13*w + 1]', '[188, 94, -w^3 + 7*w]', '[188, 94, w^2 - 2*w - 5]', '[191, 191, 3/2*w^3 - 2*w^2 - 8*w - 1/2]', '[191, 191, -3/2*w^3 + w^2 + 9*w - 5/2]', '[191, 191, 1/2*w^3 - 2*w - 9/2]', '[191, 191, -1/2*w^3 + w^2 + w - 9/2]', '[208, 26, -w^3 + 2*w^2 + 6*w - 1]', '[208, 26, w^3 - 2*w^2 - 6*w + 7]', '[208, 26, -w^3 + 8*w - 1]', '[208, 26, -w^3 + 8*w + 5]', '[208, 52, -w^3 + 9*w]', '[208, 52, 1/2*w^3 - w - 5/2]', '[208, 52, -w^3 + 2*w^2 + 3*w - 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39*w + 8]', '[1648, 412, 1/2*w^3 - 9*w + 11/2]', '[1648, 412, 7*w^3 - 7*w^2 - 39*w]', '[1648, 412, 3*w^3 - w^2 - 19*w - 3]', '[1648, 412, 9/2*w^3 - 4*w^2 - 29*w - 5/2]', '[1648, 412, 11/2*w^3 - 5*w^2 - 34*w - 5/2]', '[1648, 412, 4*w^3 - 3*w^2 - 22*w - 3]', '[1667, 1667, -1/2*w^3 + 3*w^2 - w - 13/2]', '[1667, 1667, 3/2*w^3 + w^2 - 11*w - 15/2]', '[1667, 1667, -3/2*w^3 + 2*w^2 + 12*w - 5/2]', '[1667, 1667, 7/2*w^3 - 4*w^2 - 22*w + 11/2]', '[1684, 842, 2*w^3 + w^2 - 13*w - 12]', '[1684, 842, -11/2*w^3 + 4*w^2 + 35*w + 11/2]', '[1684, 842, 13/2*w^3 - 5*w^2 - 38*w - 7/2]', '[1684, 842, -4*w^3 + 4*w^2 + 25*w - 3]', '[1684, 842, 1/2*w^3 + 2*w^2 - 5*w - 21/2]', '[1684, 842, -w^3 - w^2 + 8*w + 14]', '[1684, 842, 2*w^3 - w^2 - 13*w - 9]', '[1684, 842, -4*w^3 + 3*w^2 + 22*w + 1]', '[1699, 1699, -2*w^3 + 4*w^2 + 8*w - 11]', '[1699, 1699, -2*w^3 + 12*w + 1]', '[1699, 1699, 4*w - 5]', '[1699, 1699, -4*w^3 + 4*w^2 + 24*w + 1]', '[1717, 1717, 1/2*w^3 - 2*w^2 + 4*w + 7/2]', '[1717, 1717, -5/2*w^3 + 4*w^2 + 6*w - 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19*w - 10]', '[1781, 1781, 3*w^3 - 20*w - 10]', '[1781, 1781, 7/2*w^3 - 2*w^2 - 24*w - 9/2]', '[1781, 1781, -5*w^3 + 6*w^2 + 30*w - 10]', '[1781, 1781, 3*w^3 - 4*w^2 - 13*w + 3]', '[1781, 1781, -4*w^3 + 3*w^2 + 22*w + 2]', '[1781, 1781, 3/2*w^3 - 14*w + 1/2]', '[1781, 1781, -w^3 + 4*w^2 - 6]', '[1781, 1781, w^3 - 2*w^2 - 10*w + 2]', '[1781, 1781, 1/2*w^3 - 5*w + 13/2]', '[1781, 1781, -5/2*w^3 + 5*w^2 + 13*w - 25/2]', '[1781, 1781, 3/2*w^3 - w^2 - 10*w - 15/2]', '[1781, 1781, 5/2*w^3 - 2*w^2 - 11*w + 1/2]', '[1781, 1781, -w^2 - 4]', '[1781, 1781, 1/2*w^3 - 3*w^2 - 3*w + 11/2]', '[1781, 1781, -w^3 + 2*w^2 + 5*w - 11]', '[1781, 1781, 9/2*w^3 - 5*w^2 - 24*w + 11/2]', '[1789, 1789, -3/2*w^3 + 2*w^2 + 8*w - 19/2]', '[1789, 1789, 3/2*w^3 - w^2 - 9*w - 15/2]', '[1789, 1789, 1/2*w^3 - w^2 - w - 11/2]', '[1789, 1789, -1/2*w^3 + 2*w - 11/2]', '[1801, 1801, -7/2*w^3 + 3*w^2 + 21*w - 11/2]', '[1801, 1801, 3/2*w^3 - 8*w - 17/2]', '[1801, 1801, -1/2*w^3 + w^2 - w - 11/2]', '[1801, 1801, 5/2*w^3 - 4*w^2 - 12*w + 3/2]', '[1823, 1823, 5/2*w^3 - w^2 - 17*w + 1/2]', '[1823, 1823, 1/2*w^3 + w^2 - 7*w - 13/2]', '[1823, 1823, -1/2*w^3 + 2*w^2 + 4*w - 17/2]', '[1823, 1823, 5/2*w^3 - 4*w^2 - 14*w + 7/2]', '[1849, 43, -9/2*w^3 + 5*w^2 + 27*w - 5/2]', '[1849, 43, 7/2*w^3 - w^2 - 21*w - 25/2]', '[1852, 926, w^3 - 5*w^2 - 4*w + 22]', '[1852, 926, -w^3 + 4*w^2 + 5*w - 14]', '[1852, 926, -6*w^3 + 4*w^2 + 35*w + 7]', '[1852, 926, 17/2*w^3 - 8*w^2 - 51*w + 3/2]', '[1852, 926, 13/2*w^3 - 6*w^2 - 37*w - 5/2]', '[1852, 926, -5*w^3 + 5*w^2 + 31*w - 2]', '[1852, 926, 11/2*w^3 - 3*w^2 - 34*w - 29/2]', '[1852, 926, -w^3 - w^2 + 6*w + 14]', '[1871, 1871, -2*w^3 + 2*w^2 + 12*w - 9]', '[1871, 1871, -5/2*w^3 + 5*w^2 + 12*w - 19/2]', '[1871, 1871, -4*w^3 + 3*w^2 + 26*w]', '[1871, 1871, -w^3 + 11*w + 1]', '[1937, 1937, -3/2*w^3 + w^2 + 13*w + 3/2]', '[1937, 1937, -5/2*w^3 + 3*w^2 + 18*w + 1/2]', '[1937, 1937, w^3 + 2*w^2 - 9*w - 13]', '[1937, 1937, -7/2*w^3 + 3*w^2 + 23*w - 7/2]', '[1937, 1937, 5/2*w^3 - 3*w^2 - 17*w + 9/2]', '[1937, 1937, 1/2*w^3 + 2*w^2 - 6*w - 15/2]', '[1937, 1937, -1/2*w^3 - 2*w^2 + 6*w + 13/2]', '[1937, 1937, -1/2*w^3 - 2*w^2 + 4*w + 19/2]', '[1937, 1937, w^3 - 11*w + 1]', '[1937, 1937, 4*w^3 - 3*w^2 - 26*w - 2]', '[1937, 1937, -3*w^2 + 4*w + 4]', '[1937, 1937, 5/2*w^3 - 3*w^2 - 17*w + 7/2]', '[1937, 1937, -5/2*w^3 + 5*w^2 + 12*w - 23/2]', '[1937, 1937, -1/2*w^3 - 2*w^2 + 3*w + 11/2]', '[1937, 1937, -7/2*w^3 + 4*w^2 + 23*w - 19/2]', '[1937, 1937, -3/2*w^3 + 4*w^2 + 6*w - 13/2]', '[1951, 1951, -7/2*w^3 + 3*w^2 + 20*w - 13/2]', '[1951, 1951, 2*w^3 - w^2 - 10*w - 8]', '[1951, 1951, 3*w^3 - 4*w^2 - 15*w - 1]', '[1951, 1951, -3/2*w^3 + 2*w^2 + 5*w - 15/2]', '[1973, 1973, 5/2*w^3 - w^2 - 14*w + 3/2]', '[1973, 1973, 4*w^3 - 4*w^2 - 23*w - 2]', '[1973, 1973, w^3 - w^2 - 2*w - 5]', '[1973, 1973, 5/2*w^3 - 4*w^2 - 11*w + 21/2]', '[1993, 1993, 5/2*w^3 - w^2 - 15*w + 1/2]', '[1993, 1993, 7/2*w^3 - 4*w^2 - 20*w + 1/2]', '[1993, 1993, -3/2*w^3 + 3*w^2 + 5*w - 17/2]', '[1993, 1993, 1/2*w^3 - 11/2]', '[2027, 2027, -6*w^3 + 6*w^2 + 37*w - 2]', '[2027, 2027, 3/2*w^3 - 4*w^2 - 8*w + 21/2]', '[2027, 2027, 7/2*w^3 - w^2 - 22*w - 31/2]', '[2027, 2027, 13/2*w^3 - 4*w^2 - 38*w - 19/2]', '[2036, 1018, 5*w^3 - 31*w - 20]', '[2036, 1018, -10*w^3 + 7*w^2 + 63*w + 13]', '[2036, 1018, -4*w^3 + 5*w^2 + 25*w - 10]', '[2036, 1018, 17/2*w^3 - 5*w^2 - 54*w - 27/2]', '[2036, 1018, -w^3 - 3*w^2 + 9*w + 25]', '[2036, 1018, -5/2*w^3 + 5*w^2 + 12*w - 21/2]', '[2036, 1018, -5*w^3 + w^2 + 32*w + 16]', '[2036, 1018, 11*w^3 - 9*w^2 - 65*w - 4]', '[2039, 2039, 13/2*w^3 - 3*w^2 - 41*w - 21/2]', '[2039, 2039, 7*w^3 - 4*w^2 - 44*w - 8]', '[2039, 2039, 6*w^3 - 5*w^2 - 34*w + 4]', '[2039, 2039, -9/2*w^3 + 4*w^2 + 25*w - 13/2]', '[2041, 2041, 3/2*w^3 - 3*w^2 - 11*w + 17/2]', '[2041, 2041, 5/2*w^3 - w^2 - 10*w + 15/2]', '[2041, 2041, 5/2*w^3 - 3*w^2 - 18*w + 15/2]', '[2041, 2041, -9*w^3 + 12*w^2 + 50*w - 22]', '[2041, 2041, -17/2*w^3 + 10*w^2 + 46*w - 39/2]', '[2041, 2041, -11/2*w^3 + 8*w^2 + 30*w - 27/2]', '[2041, 2041, 7/2*w^3 - 5*w^2 - 21*w + 11/2]', '[2041, 2041, 7/2*w^3 - 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8]', '[2767, 2767, -2*w^3 + w^2 + 16*w]', '[2767, 2767, 3*w^3 - 2*w^2 - 21*w - 1]', '[2767, 2767, -1/2*w^3 + 3*w^2 + 2*w - 15/2]', '[2767, 2767, 3/2*w^3 - 4*w^2 - 7*w + 19/2]', '[2789, 2789, 2*w^3 - w^2 - 12*w - 10]', '[2789, 2789, w^3 - 2*w^2 - 3*w - 5]', '[2789, 2789, 5/2*w^3 - 3*w^2 - 14*w + 23/2]', '[2789, 2789, -1/2*w^3 + w - 13/2]', '[2801, 2801, -2*w^3 + 3*w^2 + 6*w - 6]', '[2801, 2801, -9/2*w^3 + 6*w^2 + 23*w - 9/2]', '[2801, 2801, 5*w^3 - 4*w^2 - 29*w + 3]', '[2801, 2801, -5/2*w^3 + w^2 + 12*w + 13/2]', '[2804, 1402, -11*w^3 + 7*w^2 + 68*w + 18]', '[2804, 1402, 25/2*w^3 - 6*w^2 - 77*w - 57/2]', '[2804, 1402, -8*w^3 + 4*w^2 + 51*w + 21]', '[2804, 1402, 2*w^3 - 2*w^2 - 7*w + 9]', '[2804, 1402, 25/2*w^3 - 7*w^2 - 76*w - 43/2]', '[2804, 1402, 7/2*w^3 - 2*w^2 - 19*w + 5/2]', '[2804, 1402, -7/2*w^3 + 2*w^2 + 19*w + 23/2]', '[2804, 1402, 5*w^3 - 5*w^2 - 28*w - 2]', '[2809, 53, 5/2*w^3 - 5*w^2 - 11*w + 7/2]', '[2809, 53, -4*w^3 + 4*w^2 + 20*w - 13]', '[2843, 2843, 7/2*w^3 - 3*w^2 - 17*w - 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8]', '[5776, 76, -13/2*w^3 + 6*w^2 + 39*w + 5/2]', '[5776, 76, -5*w^3 + 5*w^2 + 25*w + 3]', '[5776, 76, -7*w^3 + 7*w^2 + 35*w - 15]', '[5779, 5779, 9/2*w^3 - 5*w^2 - 29*w + 7/2]', '[5779, 5779, -3/2*w^3 - 2*w^2 + 12*w + 15/2]', '[5779, 5779, -1/2*w^3 + 4*w^2 - 2*w - 25/2]', '[5779, 5779, 5/2*w^3 - 3*w^2 - 19*w + 13/2]', '[5801, 5801, -1/2*w^3 - w^2 + 3*w - 11/2]', '[5801, 5801, 5/2*w^3 - 2*w^2 - 16*w - 19/2]', '[5801, 5801, -3/2*w^3 + 3*w^2 + 7*w - 31/2]', '[5801, 5801, -1/2*w^3 + 6*w - 19/2]', '[5813, 5813, 9/2*w^3 - 5*w^2 - 26*w - 1/2]', '[5813, 5813, -2*w^3 + 4*w^2 + 7*w - 12]', '[5813, 5813, -3*w^3 + w^2 + 18*w - 1]', '[5813, 5813, 1/2*w^3 + w - 15/2]', '[5827, 5827, -1/2*w^3 + 2*w^2 + 6*w - 17/2]', '[5827, 5827, -1/2*w^3 + 3*w^2 - 3*w - 19/2]', '[5827, 5827, 9/2*w^3 - 6*w^2 - 26*w + 11/2]', '[5827, 5827, -7/2*w^3 + w^2 + 23*w + 5/2]', '[5849, 5849, -11/2*w^3 + 8*w^2 + 23*w - 27/2]', '[5849, 5849, 11/2*w^3 - 3*w^2 - 31*w - 27/2]', '[5849, 5849, -9/2*w^3 + 7*w^2 + 19*w - 1/2]', '[5849, 5849, 15/2*w^3 - 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15]', '[9808, 1226, -5*w^3 + 4*w^2 + 30*w - 13]', '[9808, 2452, -8*w^3 + 9*w^2 + 44*w - 5]', '[9808, 2452, -9*w^3 + 9*w^2 + 49*w + 4]', '[9808, 2452, 3*w^3 - 2*w^2 - 11*w - 6]', '[9808, 2452, -7*w^3 + 5*w^2 + 37*w - 7]', '[9808, 2452, 5*w^3 - 5*w^2 - 21*w - 8]', '[9808, 2452, -13/2*w^3 + 4*w^2 + 37*w + 1/2]', '[9808, 2452, -9/2*w^3 + 7*w^2 + 18*w - 25/2]', '[9808, 2452, -7*w^3 + 9*w^2 + 33*w - 19]', '[9809, 9809, 5/2*w^3 - w^2 - 21*w - 3/2]', '[9809, 9809, 1/2*w^3 - 4*w^2 - 2*w + 23/2]', '[9809, 9809, -11/2*w^3 + 7*w^2 + 25*w - 31/2]', '[9809, 9809, 5/2*w^3 - 6*w^2 - 12*w + 25/2]', '[9839, 9839, 23/2*w^3 - 7*w^2 - 71*w - 25/2]', '[9839, 9839, -15/2*w^3 + 7*w^2 + 43*w - 19/2]', '[9839, 9839, 15/2*w^3 - 5*w^2 - 43*w - 1/2]', '[9839, 9839, 13/2*w^3 - 3*w^2 - 41*w - 15/2]', '[9859, 9859, -11/2*w^3 + 6*w^2 + 28*w - 13/2]', '[9859, 9859, 9/2*w^3 - 4*w^2 - 22*w + 5/2]', '[9859, 9859, 9/2*w^3 - 5*w^2 - 21*w + 3/2]', '[9859, 9859, -11/2*w^3 + 5*w^2 + 29*w + 1/2]', '[9893, 9893, 13/2*w^3 - 6*w^2 - 42*w - 5/2]', '[9893, 9893, 9/2*w^3 - 3*w^2 - 17*w + 13/2]', '[9893, 9893, 5/2*w^3 - w^2 - 21*w + 1/2]', '[9893, 9893, -15/2*w^3 + 9*w^2 + 41*w - 49/2]', '[9893, 9893, -7/2*w^3 + 6*w^2 + 12*w + 13/2]', '[9893, 9893, -5/2*w^3 + 6*w^2 + 12*w - 29/2]', '[9893, 9893, -1/2*w^3 + 4*w^2 + 2*w - 19/2]', '[9893, 9893, -5/2*w^3 + 7*w^2 + 9*w - 43/2]', '[9893, 9893, 13/2*w^3 - 4*w^2 - 38*w - 37/2]', '[9893, 9893, -3/2*w^3 - 3*w^2 + 11*w + 13/2]', '[9893, 9893, -5/2*w^3 + w^2 + 9*w - 21/2]', '[9893, 9893, 5/2*w^3 - 2*w^2 - 22*w + 17/2]', '[9893, 9893, 13/2*w^3 - 10*w^2 - 26*w + 5/2]', '[9893, 9893, -9/2*w^3 + 3*w^2 + 31*w + 5/2]', '[9893, 9893, 23/2*w^3 - 13*w^2 - 63*w + 45/2]', '[9893, 9893, -19/2*w^3 + 6*w^2 + 54*w + 31/2]', '[9907, 9907, 5/2*w^3 + 2*w^2 - 20*w - 33/2]', '[9907, 9907, -4*w^3 + 6*w^2 + 26*w - 17]', '[9907, 9907, 11/2*w^3 - 7*w^2 - 35*w + 29/2]', '[9907, 9907, 3*w^3 - w^2 - 16*w - 15]', '[9929, 9929, -4*w^3 + 5*w^2 + 16*w - 4]', '[9929, 9929, -13/2*w^3 + 8*w^2 + 33*w - 17/2]', '[9929, 9929, 7*w^3 - 6*w^2 - 39*w + 1]', '[9929, 9929, -9/2*w^3 + 3*w^2 + 22*w + 5/2]', '[9932, 4966, 4*w^2 + 3*w - 13]', '[9932, 4966, -4*w^3 + 7*w^2 + 25*w - 8]', '[9932, 4966, -9/2*w^3 + 6*w^2 + 29*w - 3/2]', '[9932, 4966, -1/2*w^3 + 3*w^2 + 6*w - 21/2]', '[9932, 4966, -w^3 - 3*w^2 + 12*w + 18]', '[9932, 4966, -5*w^3 + 2*w^2 + 33*w + 4]', '[9932, 4966, w^3 + w^2 - 2*w - 8]', '[9932, 4966, -3*w^3 + 6*w^2 + 15*w - 4]', '[9932, 4966, -3*w^3 - w^2 + 25*w + 4]', '[9932, 4966, 2*w^2 - 5*w - 13]', '[9932, 4966, 4*w^3 - 7*w^2 - 25*w + 18]', '[9932, 4966, 7*w^3 - 11*w^2 - 38*w + 18]', '[9932, 4966, 15/2*w^3 - 4*w^2 - 49*w - 11/2]', '[9932, 4966, 4*w^3 - w^2 - 23*w - 2]', '[9932, 4966, 9/2*w^3 - 3*w^2 - 30*w + 13/2]', '[9932, 4966, -1/2*w^3 - 3*w^2 + 14*w + 15/2]', '[9932, 4966, 3*w^3 + w^2 - 25*w - 14]', '[9932, 4966, -7/2*w^3 + 5*w^2 + 20*w + 1/2]', '[9932, 4966, 3*w^2 - 8*w - 9]', '[9932, 4966, -3/2*w^3 + 4*w^2 + w - 17/2]', '[9932, 4966, w^3 - w^2 + w - 6]', '[9932, 4966, -11/2*w^3 + 3*w^2 + 34*w + 5/2]', '[9932, 4966, 7*w^3 - 7*w^2 - 41*w]', '[9932, 4966, 4*w^3 - 7*w^2 - 17*w + 16]', '[9932, 4966, 2*w^3 + 2*w^2 - 17*w - 3]', '[9932, 4966, 1/2*w^3 - 2*w^2 - 5*w + 27/2]', '[9932, 4966, 11/2*w^3 - 8*w^2 - 31*w + 21/2]', '[9932, 4966, -3*w^3 + w^2 + 20*w - 4]', '[9932, 4966, -3*w^2 + 17]', '[9932, 4966, 7/2*w^3 - 5*w^2 - 24*w + 31/2]', '[9932, 4966, 6*w^3 - 8*w^2 - 33*w + 9]', '[9932, 4966, -3/2*w^3 + 15*w + 19/2]', '[9941, 9941, w^3 + 2*w^2 - 4*w - 12]', '[9941, 9941, 6*w^3 - 4*w^2 - 38*w + 1]', '[9941, 9941, 2*w^2 - 8*w - 7]', '[9941, 9941, -5*w^3 + 8*w^2 + 26*w - 10]', '[9949, 9949, -2*w^3 + 4*w^2 + 13*w - 16]', '[9949, 9949, 3/2*w^3 + w^2 - 14*w - 27/2]', '[9949, 9949, -5/2*w^3 + 19*w - 5/2]', '[9949, 9949, 3*w^3 - 5*w^2 - 18*w + 1]', '[9983, 9983, -1/2*w^3 - w^2 + 6*w - 15/2]', '[9983, 9983, -7/2*w^3 + 3*w^2 + 25*w + 1/2]', '[9983, 9983, 1/2*w^3 - w^2 - 5*w - 17/2]', '[9983, 9983, 3/2*w^3 - 10*w - 29/2]', '[9983, 9983, -7/2*w^3 + 3*w^2 + 25*w - 9/2]', '[9983, 9983, 3/2*w^3 - 11*w - 29/2]', '[9983, 9983, -1/2*w^3 + 4*w^2 + w - 17/2]', '[9983, 9983, -3/2*w^3 + 5*w^2 + 6*w - 29/2]', '[9983, 9983, 1/2*w^3 - 2*w^2 - 13/2]', '[9983, 9983, -1/2*w^3 + 4*w^2 - 27/2]', '[9983, 9983, w^3 - 2*w^2 - 7*w - 7]', '[9983, 9983, -2*w^3 + 3*w^2 + 12*w - 16]', '[9983, 9983, -1/2*w^3 + 4*w^2 - 17/2]', '[9983, 9983, -5/2*w^3 + 3*w^2 + 15*w - 29/2]', '[9983, 9983, -4*w^3 + 3*w^2 + 28*w + 2]', '[9983, 9983, 3*w^3 - 2*w^2 - 23*w + 3]', '[9997, 9997, -1/2*w^3 - w^2 - w - 15/2]', '[9997, 9997, -9/2*w^3 + 9*w^2 + 22*w - 51/2]', '[9997, 9997, -11/2*w^3 + 7*w^2 + 31*w - 43/2]', '[9997, 9997, 6*w^3 - 4*w^2 - 32*w - 7]', '[9997, 9997, -1/2*w^3 + 4*w^2 - w - 21/2]', '[9997, 9997, 7*w^3 - 5*w^2 - 46*w - 9]', '[9997, 9997, 4*w^3 - 4*w^2 - 27*w + 4]', '[9997, 9997, 3*w^3 - 3*w^2 - 22*w + 3]', '[9997, 9997, 8*w^3 - 8*w^2 - 44*w + 9]', '[9997, 9997, 4*w^3 - 4*w^2 - 16*w + 5]', '[9997, 9997, 6*w^3 - 8*w^2 - 28*w + 5]', '[9997, 9997, 2*w^3 - 21*w + 6]', '[9997, 9997, 1/2*w^3 + 4*w^2 - 3*w - 11/2]', '[9997, 9997, 9/2*w^3 - 2*w^2 - 28*w - 35/2]', '[9997, 9997, 1/2*w^3 + 3*w^2 - 6*w - 21/2]', '[9997, 9997, 3/2*w^3 - 4*w^2 - 2*w - 11/2]', '[10000, 10, 10]', '[10000, 20, -5*w^3 + 5*w^2 + 25*w]', '[10000, 20, -5*w^3 + 5*w^2 + 25*w - 5]'], 'label': '4.4.4913.1', 'narrow_class_no': 1, 'primes': ['[4, 2, -1/2*w^3 + 3*w + 5/2]', '[4, 2, w^3 - w^2 - 6*w]', '[13, 13, -1/2*w^3 + w^2 + 3*w - 1/2]', '[13, 13, 1/2*w^3 - w^2 - 3*w + 7/2]', '[13, 13, -1/2*w^3 + 4*w - 1/2]', '[13, 13, -1/2*w^3 + 4*w + 5/2]', '[17, 17, 1/2*w^3 - w^2 - w + 3/2]', '[47, 47, -w^2 + 2]', '[47, 47, -w^3 + 2*w^2 + 5*w - 5]', '[47, 47, -3/2*w^3 + w^2 + 10*w + 3/2]', '[47, 47, -1/2*w^3 + 5*w - 1/2]', '[67, 67, 3/2*w^3 - 2*w^2 - 8*w + 3/2]', '[67, 67, 1/2*w^3 - 2*w - 5/2]', '[67, 67, -1/2*w^3 + w^2 + w - 5/2]', '[67, 67, -3/2*w^3 + w^2 + 9*w - 1/2]', '[81, 3, -3]', '[89, 89, w^2 - 2*w - 4]', '[89, 89, 3/2*w^3 - 2*w^2 - 9*w + 3/2]', '[89, 89, -1/2*w^3 + w^2 + 4*w - 7/2]', '[89, 89, -w^3 + 7*w + 1]', '[101, 101, -1/2*w^3 + 3*w - 5/2]', '[101, 101, -1/2*w^3 + w^2 + 2*w - 11/2]', '[101, 101, -w^3 + w^2 + 6*w + 3]', '[101, 101, w - 4]', '[103, 103, 3/2*w^3 - 3*w^2 - 7*w + 7/2]', '[103, 103, -w^2 + 8]', '[103, 103, -1/2*w^3 - w^2 + 3*w + 11/2]', '[103, 103, -1/2*w^3 - w^2 + 3*w + 13/2]', '[137, 137, 1/2*w^3 - 2*w - 7/2]', '[137, 137, -1/2*w^3 + w^2 + w - 7/2]', '[137, 137, 3/2*w^3 - 2*w^2 - 8*w + 1/2]', '[137, 137, -3/2*w^3 + w^2 + 9*w - 3/2]', '[149, 149, 3/2*w^3 - 9*w - 13/2]', '[149, 149, 7/2*w^3 - 3*w^2 - 21*w - 3/2]', '[149, 149, 2*w^3 - 2*w^2 - 12*w - 1]', '[149, 149, -w^2 + 6]', '[157, 157, -5/2*w^3 + 3*w^2 + 13*w - 9/2]', '[157, 157, -2*w^3 + 3*w^2 + 12*w - 4]', '[157, 157, 1/2*w^3 - 2*w^2 - 2*w + 15/2]', '[157, 157, 5/2*w^3 - 2*w^2 - 14*w - 3/2]', '[191, 191, 3/2*w^3 - 2*w^2 - 8*w - 1/2]', '[191, 191, -3/2*w^3 + w^2 + 9*w - 5/2]', '[191, 191, 1/2*w^3 - 2*w - 9/2]', '[191, 191, -1/2*w^3 + w^2 + w - 9/2]', '[239, 239, -5/2*w^3 + 2*w^2 + 16*w + 1/2]', '[239, 239, 2*w^3 - 13*w - 8]', '[239, 239, -7/2*w^3 + 3*w^2 + 20*w - 1/2]', '[239, 239, -1/2*w^3 + 4*w + 11/2]', '[251, 251, -5/2*w^3 + 3*w^2 + 13*w - 1/2]', '[251, 251, -2*w^3 + w^2 + 14*w + 2]', '[251, 251, 3/2*w^3 - w^2 - 7*w - 7/2]', '[251, 251, -w^3 + 9*w + 1]', '[271, 271, -w^3 + 7*w - 1]', '[271, 271, -3/2*w^3 + 2*w^2 + 9*w + 1/2]', '[271, 271, w^2 - 2*w - 6]', '[271, 271, -1/2*w^3 + w^2 + 4*w - 11/2]', '[293, 293, -1/2*w^3 + 2*w^2 + 2*w - 13/2]', '[293, 293, -3/2*w^3 + w^2 + 11*w - 3/2]', '[293, 293, -1/2*w^3 + 2*w^2 + 2*w - 7/2]', '[293, 293, -3/2*w^3 + w^2 + 11*w + 3/2]', '[307, 307, w^3 - w^2 - 8*w + 1]', '[307, 307, 2*w^3 - 2*w^2 - 13*w + 2]', '[307, 307, -1/2*w^3 + 2*w^2 + w - 9/2]', '[307, 307, -1/2*w^3 - w^2 + 4*w + 9/2]', '[353, 353, -3/2*w^3 + 2*w^2 + 8*w - 15/2]', '[353, 353, 11/2*w^3 - 4*w^2 - 34*w - 7/2]', '[353, 353, 6*w^3 - 4*w^2 - 36*w - 7]', '[353, 353, 9/2*w^3 - 3*w^2 - 26*w - 5/2]', '[361, 19, 1/2*w^3 + w^2 - 3*w - 15/2]', '[361, 19, -2*w^3 + 2*w^2 + 10*w - 7]', '[373, 373, -1/2*w^3 + 2*w^2 + 2*w - 9/2]', '[373, 373, -3/2*w^3 + w^2 + 11*w + 1/2]', '[373, 373, -1/2*w^3 + 2*w^2 + 2*w - 11/2]', '[373, 373, 3/2*w^3 - w^2 - 11*w + 1/2]', '[409, 409, 2*w^3 - 3*w^2 - 10*w + 2]', '[409, 409, -w^3 + 5*w + 5]', '[409, 409, -1/2*w^3 + w^2 - 7/2]', '[409, 409, 5/2*w^3 - 2*w^2 - 15*w + 5/2]', '[421, 421, -2*w^3 + w^2 + 12*w]', '[421, 421, 5/2*w^3 - 3*w^2 - 14*w + 3/2]', '[421, 421, -w^3 + 2*w^2 + 3*w - 5]', '[421, 421, 1/2*w^3 - w - 7/2]', '[443, 443, 5/2*w^3 - 3*w^2 - 15*w + 3/2]', '[443, 443, 1/2*w^3 - w^2 - 5*w + 9/2]', '[443, 443, -1/2*w^3 + 2*w^2 - 13/2]', '[443, 443, -3/2*w^3 + 10*w + 3/2]', '[463, 463, 4*w^3 - 4*w^2 - 22*w + 5]', '[463, 463, 3*w^3 - 4*w^2 - 14*w + 2]', '[463, 463, -5/2*w^3 + 2*w^2 + 14*w - 7/2]', '[463, 463, 3/2*w^3 - w^2 - 7*w - 9/2]', '[509, 509, -7/2*w^3 + 2*w^2 + 20*w + 3/2]', '[509, 509, 5/2*w^3 - w^2 - 16*w - 5/2]', '[509, 509, -5/2*w^3 + 4*w^2 + 10*w - 13/2]', '[509, 509, 9/2*w^3 - 5*w^2 - 25*w + 7/2]', '[523, 523, 3*w^3 - 3*w^2 - 16*w + 3]', '[523, 523, 2*w^3 - 2*w^2 - 9*w + 2]', '[523, 523, 5/2*w^3 - 3*w^2 - 12*w + 3/2]', '[523, 523, -5/2*w^3 + 2*w^2 + 13*w + 3/2]', '[557, 557, 3*w^3 - 3*w^2 - 16*w + 1]', '[557, 557, 5/2*w^3 - 2*w^2 - 13*w + 1/2]', '[557, 557, -2*w^3 + 2*w^2 + 9*w]', '[557, 557, -5/2*w^3 + 3*w^2 + 12*w - 7/2]', '[577, 577, -w^3 - w^2 + 6*w + 9]', '[577, 577, 7/2*w^3 - 3*w^2 - 21*w - 7/2]', '[577, 577, 1/2*w^3 - 2*w^2 - 3*w + 17/2]', '[577, 577, -5/2*w^3 + 3*w^2 + 13*w - 19/2]', '[599, 599, -4*w^3 + 4*w^2 + 22*w - 1]', '[599, 599, w^3 + w^2 - 8*w - 7]', '[599, 599, -5/2*w^3 + 3*w^2 + 16*w - 11/2]', '[599, 599, 3/2*w^3 - w^2 - 7*w - 13/2]', '[613, 613, w^3 - 5*w - 9]', '[613, 613, -2*w^3 + 3*w^2 + 10*w + 2]', '[613, 613, -1/2*w^3 + w^2 - 15/2]', '[613, 613, -5/2*w^3 + 2*w^2 + 15*w - 13/2]', '[625, 5, -5]', '[647, 647, 2*w^3 - 3*w^2 - 8*w + 6]', '[647, 647, -3*w^3 + 2*w^2 + 17*w - 1]', '[647, 647, 3/2*w^3 - w^2 - 6*w - 7/2]', '[647, 647, -7/2*w^3 + 4*w^2 + 19*w - 3/2]', '[659, 659, w^3 + w^2 - 6*w - 5]', '[659, 659, -2*w^3 + 4*w^2 + 9*w - 8]', '[659, 659, -7/2*w^3 + 3*w^2 + 22*w - 1/2]', '[659, 659, 1/2*w^3 - 7*w + 1/2]', '[701, 701, 3*w^3 - 2*w^2 - 18*w - 8]', '[701, 701, 7/2*w^3 - 3*w^2 - 21*w - 9/2]', '[701, 701, -1/2*w^3 - 2*w^2 + 3*w + 19/2]', '[701, 701, 15/2*w^3 - 5*w^2 - 45*w - 19/2]', '[727, 727, 2*w^3 - 3*w^2 - 12*w + 2]', '[727, 727, w^3 - 2*w^2 - 7*w + 7]', '[727, 727, 1/2*w^3 + w^2 - 6*w - 13/2]', '[727, 727, 3/2*w^3 - 11*w - 1/2]', '[761, 761, 3*w^3 - 4*w^2 - 18*w + 4]', '[761, 761, -w^3 + 2*w^2 + 8*w - 6]', '[761, 761, 2*w^2 - 4*w - 7]', '[761, 761, -2*w^3 + 14*w + 3]', '[769, 769, 5/2*w^3 - 3*w^2 - 15*w + 1/2]', '[769, 769, -1/2*w^3 + w^2 + 5*w - 11/2]', '[769, 769, 3/2*w^3 - 10*w - 1/2]', '[769, 769, -1/2*w^3 + 2*w^2 - 15/2]', '[829, 829, 7/2*w^3 - 4*w^2 - 20*w + 5/2]', '[829, 829, -5/2*w^3 + 4*w^2 + 12*w - 7/2]', '[829, 829, 7/2*w^3 - 3*w^2 - 21*w + 7/2]', '[829, 829, 3/2*w^3 - 3*w^2 - 5*w + 13/2]', '[863, 863, 3*w^3 - 2*w^2 - 19*w + 1]', '[863, 863, w^2 - 4*w - 4]', '[863, 863, -5/2*w^3 + 4*w^2 + 13*w - 9/2]', '[863, 863, 1/2*w^3 + w^2 - 2*w - 13/2]', '[883, 883, -4*w^3 + 4*w^2 + 22*w - 3]', '[883, 883, 3*w^3 - 2*w^2 - 16*w - 2]', '[883, 883, -3*w^3 + 4*w^2 + 14*w - 4]', '[883, 883, 2*w^3 - 2*w^2 - 8*w + 1]', '[919, 919, 1/2*w^3 - w - 11/2]', '[919, 919, -5/2*w^3 + 3*w^2 + 14*w + 1/2]', '[919, 919, w^3 - 2*w^2 - 3*w + 7]', '[919, 919, -2*w^3 + w^2 + 12*w - 2]', '[953, 953, 7/2*w^3 - 3*w^2 - 19*w + 3/2]', '[953, 953, 5/2*w^3 - 2*w^2 - 12*w - 3/2]', '[953, 953, 7/2*w^3 - 4*w^2 - 18*w + 5/2]', '[953, 953, -5/2*w^3 + 3*w^2 + 11*w - 7/2]']}
81. label: 4.4.5125.1
    {'degree': 4, 'discriminant': 5125, 'ideals': ['[1, 1, 1]', '[5, 5, -w^2 + 2*w + 3]', '[9, 3, w^3 - 3*w^2 - 2*w + 9]', '[9, 3, -w^3 + 5*w + 5]', '[11, 11, w]', '[11, 11, w - 1]', '[16, 2, 2]', '[19, 19, -w^3 + 2*w^2 + 3*w - 2]', '[19, 19, w^3 - w^2 - 4*w + 2]', '[25, 5, -2*w^2 + 2*w + 7]', '[29, 29, w^3 - 4*w^2 - w + 10]', '[29, 29, -w^3 + 3*w^2 + w - 7]', '[41, 41, 3*w^2 - 2*w - 10]', '[45, 15, -w^3 + 3*w^2 + 2*w - 6]', '[45, 15, -w^3 + 5*w + 2]', '[49, 7, -2*w^2 + 3*w + 8]', '[49, 7, w^3 - 2*w^2 - 2*w + 5]', '[55, 55, -3*w^2 + 2*w + 11]', '[55, 55, -3*w^2 + 4*w + 10]', '[71, 71, -w - 3]', '[71, 71, w - 4]', '[79, 79, -w^3 + w^2 + 3*w + 3]', '[79, 79, -w^3 + 2*w^2 + 2*w - 6]', '[80, 10, -2*w^2 + 4*w + 6]', '[81, 3, 3]', '[81, 9, -2*w^2 + 7]', '[81, 9, 2*w^2 - 4*w - 5]', '[89, 89, w^3 - 3*w^2 - 3*w + 7]', '[89, 89, w^3 - 6*w - 2]', '[95, 95, w^3 - 3*w^2 - w + 8]', '[95, 95, w^3 - 4*w - 5]', '[99, 33, -w^3 + 4*w^2 - 11]', '[99, 33, -w^3 + 4*w^2 + 2*w - 11]', '[99, 33, w^3 + w^2 - 5*w - 8]', '[99, 33, -w^3 - w^2 + 7*w + 6]', '[101, 101, 2*w^3 - 5*w^2 - 3*w + 9]', '[101, 101, -w^3 + 3*w^2 + 3*w - 12]', '[109, 109, -w^3 + 4*w^2 + w - 9]', '[109, 109, -w^3 + 2*w^2 + 4*w - 2]', '[121, 11, -3*w^2 + 3*w + 11]', '[121, 11, -3*w^2 + 3*w + 10]', '[121, 121, w^3 - 5*w^2 + 15]', '[121, 121, -w^3 - 2*w^2 + 7*w + 11]', '[125, 5, -2*w^3 + 3*w^2 + 6*w - 1]', '[131, 131, -2*w^3 + 5*w^2 + 4*w - 9]', '[131, 131, -w^3 + w^2 + 3*w + 5]', '[131, 131, -w^3 + 2*w^2 + 2*w - 8]', '[131, 131, -w^3 + 6*w^2 - 18]', '[144, 6, 2*w^3 - 6*w^2 - 4*w + 18]', '[144, 6, -2*w^3 + 10*w + 10]', '[145, 145, 2*w^3 - 7*w^2 + 14]', '[145, 145, -2*w^3 + 7*w^2 + w - 12]', '[149, 149, -w^3 - 2*w^2 + 7*w + 8]', '[149, 149, -2*w^3 + 6*w^2 + 5*w - 16]', '[151, 151, w^2 + w - 5]', '[151, 151, w^2 - 3*w - 3]', '[169, 13, w^3 - 4*w^2 - w + 6]', '[169, 13, 2*w^3 - 5*w^2 - 4*w + 6]', '[171, 57, -2*w^3 + 5*w^2 + 4*w - 10]', '[171, 57, w^2 + w - 4]', '[171, 57, 2*w^3 - w^2 - 8*w - 3]', '[171, 57, w^2 - 3*w - 2]', '[176, 22, 2*w]', '[176, 22, 2*w - 2]', '[179, 179, w^3 - 4*w - 6]', '[179, 179, -w^3 + 3*w^2 + w - 9]', '[181, 181, w^3 + 3*w^2 - 7*w - 15]', '[181, 181, w^3 - 6*w^2 + 2*w + 18]', '[191, 191, 5*w^2 - 7*w - 15]', '[191, 191, -4*w^2 + 5*w + 12]', '[199, 199, -w^3 + 3*w^2 + 3*w - 6]', '[199, 199, w^3 - 6*w - 1]', '[205, 205, 2*w^3 - 3*w^2 - 5*w + 3]', '[209, 209, w^3 + 2*w^2 - 5*w - 11]', '[209, 209, 3*w^2 - w - 13]', '[209, 209, -3*w^2 + 5*w + 11]', '[209, 209, w^3 - 5*w^2 + 2*w + 13]', '[211, 211, w^3 - 7*w - 4]', '[211, 211, -w^3 + 3*w^2 + 4*w - 10]', '[225, 15, w^3 - 5*w^2 - 2*w + 19]', '[225, 15, -w^3 - 2*w^2 + 9*w + 13]', '[229, 229, -w^3 - w^2 + 5*w + 9]', '[229, 229, -w^3 + 4*w^2 - 12]', '[239, 239, 4*w^2 - 5*w - 17]', '[239, 239, 4*w^2 - 3*w - 18]', '[241, 241, -w^3 + 3*w^2 + w - 2]', '[241, 241, -w^3 + 3*w^2 + 4*w - 9]', '[241, 241, w^3 - 7*w - 3]', '[241, 241, -w^3 + 4*w - 1]', '[245, 35, -3*w^3 + 4*w^2 + 11*w + 2]', '[245, 35, -w^3 + 4*w^2 + w - 7]', '[256, 4, 4]', '[261, 87, -3*w^3 + 10*w^2 + 9*w - 35]', '[261, 87, -2*w^3 + 4*w^2 + 5*w - 6]', '[261, 87, -4*w^2 + 5*w + 13]', '[261, 87, 2*w^3 - 5*w^2 - 7*w + 19]', '[271, 271, -w - 4]', '[271, 271, w^3 - 3*w^2 - 2*w + 2]', '[271, 271, -2*w^3 + 6*w^2 + 2*w - 7]', '[271, 271, w - 5]', '[275, 55, -2*w^3 + 2*w^2 + 7*w]', '[275, 55, -2*w^3 + 4*w^2 + 5*w - 7]', '[281, 281, w^3 - 2*w^2 - 3*w - 1]', '[281, 281, -w^3 + w^2 + 4*w - 5]', '[289, 17, -2*w^3 + w^2 + 9*w + 1]', '[289, 17, -2*w^3 + 5*w^2 + 5*w - 9]', '[304, 38, -2*w^3 + 4*w^2 + 6*w - 4]', '[304, 38, 2*w^3 - 2*w^2 - 8*w + 4]', '[311, 311, w^3 - w^2 - 6*w + 1]', '[311, 311, -w^3 + 2*w^2 + 5*w - 5]', '[319, 319, -2*w^3 + 8*w^2 + w - 18]', '[319, 319, 3*w^3 - 9*w^2 - 4*w + 21]', '[319, 319, -w^3 + 5*w^2 - 11]', '[319, 319, 2*w^3 - 5*w^2 - 3*w + 11]', '[331, 331, -3*w^3 + 5*w^2 + 10*w - 5]', '[331, 331, 3*w^3 - 2*w^2 - 12*w - 6]', '[349, 349, -2*w^3 + 2*w^2 + 10*w + 3]', '[349, 349, -2*w^3 - w^2 + 12*w + 10]', '[349, 349, 2*w^3 + w^2 - 10*w - 12]', '[349, 349, -2*w^3 + 4*w^2 + 8*w - 13]', '[355, 355, -w^3 + 6*w^2 - 5*w - 12]', '[355, 355, w^3 + w^2 - 9*w - 9]', '[361, 19, 4*w^2 - 4*w - 15]', '[361, 19, -4*w^2 + 4*w + 13]', '[361, 361, w^3 - 3*w^2 - 3*w + 13]', '[361, 361, -w^3 + 6*w + 8]', '[369, 123, -2*w^3 + 10*w^2 + 4*w - 35]', '[369, 123, -w^3 + 2*w^2 + w - 6]', '[379, 379, w^3 + w^2 - 5*w - 10]', '[379, 379, -3*w^3 + 4*w^2 + 12*w - 7]', '[379, 379, w^3 + 4*w^2 - 8*w - 21]', '[379, 379, w^3 - 3*w - 6]', '[389, 389, 2*w^3 - 6*w^2 - 4*w + 13]', '[389, 389, -5*w^2 + 7*w + 13]', '[389, 389, 2*w^3 - 7*w^2 - 5*w + 20]', '[389, 389, 2*w^3 - 10*w - 5]', '[395, 395, w^3 - 3*w^2 - 3*w + 4]', '[395, 395, -7*w^2 + 11*w + 20]', '[400, 10, -4*w^2 + 4*w + 14]', '[405, 15, -3*w^2 + 6*w + 9]', '[405, 45, w^3 + 3*w^2 - 8*w - 15]', '[405, 45, -w^3 + 6*w^2 - w - 19]', '[419, 419, -w^3 + 5*w^2 + w - 13]', '[419, 419, 4*w^2 - 7*w - 14]', '[419, 419, 2*w^3 - 3*w^2 - 5*w - 1]', '[419, 419, -w^3 - 2*w^2 + 8*w + 8]', '[421, 421, -2*w^2 + 5*w + 7]', '[421, 421, w^3 - 6*w^2 + 5*w + 13]', '[439, 439, 2*w^3 - 2*w^2 - 9*w + 3]', '[439, 439, w^3 + w^2 - 7*w - 4]', '[441, 21, w^3 - 4*w^2 - 2*w + 17]', '[441, 21, 3*w^3 - 7*w^2 - 9*w + 23]', '[441, 21, -4*w^3 - 3*w^2 + 26*w + 29]', '[441, 21, -w^3 - 3*w^2 + 8*w + 14]', '[445, 445, 3*w^3 - 3*w^2 - 11*w - 6]', '[445, 445, 3*w^2 - 5*w - 12]', '[449, 449, 3*w^3 - 6*w^2 - 9*w + 8]', '[449, 449, 5*w^2 - 8*w - 17]', '[449, 449, 2*w^3 - w^2 - 8*w - 7]', '[449, 449, -3*w^3 + 3*w^2 + 12*w - 4]', '[451, 451, 3*w^3 - 2*w^2 - 10*w]', '[451, 451, 3*w^3 - 5*w^2 - 8*w + 10]', '[464, 58, 2*w^3 - 8*w^2 - 2*w + 20]', '[464, 58, -2*w^3 + 6*w^2 + 2*w - 14]', '[475, 95, -w^3 - 2*w^2 + 9*w + 8]', '[475, 95, w^3 - 5*w^2 - 2*w + 14]', '[479, 479, -2*w^3 + 3*w^2 + 5*w + 3]', '[479, 479, 3*w^3 - 7*w^2 - 9*w + 15]', '[495, 165, w^3 - 4*w^2 + w + 11]', '[495, 165, -2*w^3 - w^2 + 9*w + 11]', '[495, 165, -w^3 - w^2 + 4*w + 9]', '[495, 165, 2*w^3 - 7*w^2 - w + 17]', '[499, 499, -w^3 + 4*w^2 + 4*w - 9]', '[499, 499, w^3 + w^2 - 9*w - 2]', '[505, 505, 2*w^2 - 5*w - 3]', '[505, 505, -2*w^2 - w + 6]', '[509, 509, 2*w^3 + 2*w^2 - 11*w - 16]', '[509, 509, -2*w^3 + 8*w^2 + w - 23]', '[521, 521, -3*w^3 + w^2 + 13*w + 6]', '[521, 521, w^3 + 4*w^2 - 10*w - 16]', '[539, 77, 4*w^2 - 2*w - 11]', '[539, 77, -2*w^3 + 3*w^2 + 8*w]', '[539, 77, -2*w^3 + 5*w^2 + 5*w - 8]', '[539, 77, -w^3 + 6*w^2 - 16]', '[541, 541, 3*w^3 - 2*w^2 - 13*w - 3]', '[541, 541, -w^3 + 7*w^2 - w - 25]', '[541, 541, w^3 + 4*w^2 - 10*w - 20]', '[541, 541, -3*w^3 + 7*w^2 + 8*w - 15]', '[545, 545, 2*w^3 - 8*w^2 + 2*w + 17]', '[545, 545, -w^3 - 3*w^2 + 11*w + 16]', '[551, 551, -w^3 + 4*w^2 - 2*w - 2]', '[551, 551, -2*w^3 + 10*w^2 + 2*w - 31]', '[551, 551, w^3 - 5*w^2 + 4*w + 8]', '[551, 551, 3*w^3 - 6*w^2 - 8*w + 14]', '[571, 571, w^3 + 4*w^2 - 9*w - 15]', '[571, 571, w^3 - 7*w^2 + 2*w + 19]', '[601, 601, -3*w^3 + 2*w^2 + 13*w + 5]', '[601, 601, 3*w^3 - 7*w^2 - 8*w + 17]', '[605, 55, -3*w^3 + 4*w^2 + 10*w]', '[605, 55, -3*w^3 + 5*w^2 + 8*w - 3]', '[605, 605, -w^3 + 3*w - 2]', '[605, 605, w^3 - 3*w^2]', '[619, 619, w^3 - 3*w - 7]', '[619, 619, w^3 - 5*w^2 + 3*w + 13]', '[619, 619, 3*w^3 - 4*w^2 - 9*w - 2]', '[619, 619, -w^3 + 3*w^2 - 9]', '[625, 5, 5]', '[639, 213, 5*w^3 + w^2 - 27*w - 26]', '[639, 213, -2*w^3 + 5*w^2 + 4*w - 16]', '[639, 213, -5*w^3 + 16*w^2 + 10*w - 47]', '[639, 213, 2*w^3 - w^2 - 8*w - 9]', '[641, 641, 6*w^2 - 4*w - 23]', '[641, 641, -3*w^3 + w^2 + 12*w + 5]', '[655, 655, 3*w^3 - 7*w^2 - 5*w + 12]', '[655, 655, -9*w^2 + 15*w + 26]', '[655, 655, w^3 - w^2 - 7*w - 2]', '[655, 655, 2*w^3 - 12*w^2 + 7*w + 28]', '[656, 82, 6*w^2 - 4*w - 20]', '[659, 659, -2*w^3 + 6*w^2 + 3*w - 17]', '[659, 659, -2*w^3 + 9*w + 10]', '[661, 661, 3*w^3 - 6*w^2 - 9*w + 14]', '[661, 661, 5*w^2 - 6*w - 18]', '[661, 661, -5*w^2 + 4*w + 19]', '[661, 661, 3*w^3 - 3*w^2 - 12*w - 2]', '[691, 691, -3*w^3 + 5*w^2 + 10*w - 6]', '[691, 691, -3*w^3 + 4*w^2 + 11*w - 6]', '[701, 701, -w^3 - 4*w^2 + 9*w + 20]', '[701, 701, -w^3 + 4*w^2 + 3*w - 19]', '[701, 701, -w^3 + 4*w^2 + 4*w - 15]', '[701, 701, w^3 - 7*w^2 + 2*w + 24]', '[709, 709, 3*w^2 - 5*w - 13]', '[709, 709, 3*w^2 - w - 15]', '[711, 237, 2*w^3 - 9*w^2 - w + 27]', '[711, 237, -4*w^3 + 2*w^2 + 19*w + 15]', '[711, 237, 2*w^3 + 3*w^2 - 13*w - 19]', '[711, 237, -4*w^3 + 10*w^2 + 11*w - 32]', '[719, 719, -w^3 + 3*w^2 + 4*w - 4]', '[719, 719, -w^3 + 7*w - 2]', '[720, 30, -2*w^3 + 6*w^2 + 4*w - 12]', '[720, 30, -2*w^3 + 10*w + 4]', '[725, 145, -w^3 + 7*w - 4]', '[725, 145, -w^3 + w^2 + w + 5]', '[729, 9, 3*w^3 - 9*w^2 - 6*w + 27]', '[729, 9, -3*w^3 + 15*w + 15]', '[729, 27, w^3 + 2*w^2 - 8*w - 7]', '[729, 27, 2*w^3 - 2*w^2 - 9*w + 4]', '[739, 739, -w^3 + 4*w^2 + 3*w - 9]', '[739, 739, -2*w^3 - w^2 + 11*w + 8]', '[739, 739, 2*w^3 - 7*w^2 - 3*w + 16]', '[739, 739, -w^3 - w^2 + 8*w + 3]', '[745, 745, -4*w^3 + 5*w^2 + 12*w + 2]', '[745, 745, w^3 - 6*w^2 + 3*w + 18]', '[751, 751, 3*w^3 - 5*w^2 - 10*w + 10]', '[751, 751, 2*w^2 - 5*w - 5]', '[755, 755, 3*w^3 - 6*w^2 - 8*w + 2]', '[755, 755, -w^3 + 4*w^2 - 4]', '[761, 761, 3*w^3 - 3*w^2 - 11*w + 3]', '[761, 761, w^3 - 2*w^2 - 3*w - 2]', '[761, 761, -w^3 + w^2 + 4*w - 6]', '[761, 761, -3*w^3 + 6*w^2 + 8*w - 8]', '[769, 769, -w^3 - w^2 + 7*w + 1]', '[769, 769, -2*w^3 + 6*w^2 + 6*w - 15]', '[769, 769, -2*w^3 + 5*w^2 + 5*w - 7]', '[769, 769, 2*w^3 + w^2 - 12*w - 9]', '[779, 779, w^3 + w^2 - 7*w - 2]', '[779, 779, 9*w^2 - 4*w - 31]', '[781, 781, w^2 - 4*w]', '[781, 781, w^2 - 5*w + 4]', '[781, 781, -w^2 - 3*w]', '[781, 781, -w^2 - 2*w + 3]', '[784, 14, -4*w^2 + 6*w + 16]', '[784, 14, 2*w^3 - 4*w^2 - 4*w + 10]', '[801, 267, 4*w^3 - 13*w^2 - 11*w + 41]', '[801, 267, 4*w^3 - 2*w^2 - 19*w - 9]', '[801, 267, 4*w^3 + w^2 - 25*w - 21]', '[801, 267, 4*w^3 - 10*w^2 - 11*w + 26]', '[809, 809, -2*w^3 + 8*w^2 + 4*w - 23]', '[809, 809, -3*w^3 + 11*w^2 + 2*w - 28]', '[829, 829, -3*w^3 + 7*w^2 + 7*w - 9]', '[829, 829, w^3 + 2*w^2 - 6*w - 15]', '[829, 829, -w^3 + 5*w^2 - w - 18]', '[829, 829, -3*w^3 + 2*w^2 + 12*w - 2]', '[839, 839, 2*w^3 - 9*w^2 + 20]', '[839, 839, -3*w^3 + 10*w^2 + 5*w - 30]', '[841, 29, 5*w^2 - 5*w - 19]', '[841, 29, 5*w^2 - 5*w - 16]', '[841, 841, -3*w^3 + 6*w^2 + 9*w - 13]', '[841, 841, -3*w^3 + 3*w^2 + 12*w + 1]', '[845, 65, w^3 - 3*w - 8]', '[845, 65, -2*w^3 + 11*w^2 - 8*w - 26]', '[855, 285, 3*w^3 - 2*w^2 - 12*w - 2]', '[855, 285, -w^3 - 4*w^2 + 10*w + 18]', '[855, 285, -3*w^3 + 7*w^2 + 7*w - 13]', '[855, 285, -w^3 + 7*w^2 - w - 23]', '[869, 869, -w^3 - 3*w^2 + 10*w + 11]', '[869, 869, -4*w^2 + 7*w + 8]', '[869, 869, -4*w^2 + w + 11]', '[869, 869, w^3 - 6*w^2 - w + 17]', '[880, 110, -6*w^2 + 4*w + 22]', '[880, 110, -6*w^2 + 8*w + 20]', '[881, 881, -w^3 - 4*w^2 + 8*w + 18]', '[881, 881, 2*w^3 - 7*w^2 - w + 9]', '[881, 881, 2*w^3 - 6*w^2 - 3*w + 6]', '[881, 881, -w^3 + 7*w^2 - 3*w - 21]', '[891, 33, 3*w]', '[891, 33, 3*w - 3]', '[891, 99, 2*w^3 - 4*w^2 - 5*w]', '[891, 99, -3*w^3 + 7*w^2 + 6*w - 11]', '[891, 99, -2*w^3 + 2*w^2 + 7*w - 7]', '[891, 99, -3*w^3 + 2*w^2 + 11*w + 1]', '[895, 895, w^3 + 5*w^2 - 13*w - 18]', '[895, 895, 2*w^3 - 5*w^2 - 5*w + 6]', '[905, 905, 4*w^3 - w^2 - 19*w - 12]', '[905, 905, -5*w^3 + 11*w^2 + 11*w - 12]', '[909, 303, w^3 + 2*w^2 - 5*w - 13]', '[909, 303, -w^3 - 2*w^2 + 9*w + 7]', '[909, 303, -9*w^3 + 28*w^2 + 21*w - 86]', '[909, 303, w^3 + 2*w^2 - 6*w - 16]', '[911, 911, -w^3 - 4*w^2 + 8*w + 16]', '[911, 911, -w^3 - w^2 + 9*w + 5]', '[911, 911, -w^3 + 4*w^2 + 4*w - 12]', '[911, 911, w^3 - 7*w^2 + 3*w + 19]', '[919, 919, -4*w^3 + 7*w^2 + 14*w - 9]', '[919, 919, 4*w^3 - 5*w^2 - 16*w + 8]', '[929, 929, 3*w^2 - w - 16]', '[929, 929, 3*w^2 - 5*w - 14]', '[931, 133, -2*w^3 - 3*w^2 + 17*w + 17]', '[931, 133, -w^2 + 4*w + 1]', '[931, 133, 4*w^3 - 5*w^2 - 13*w + 10]', '[931, 133, 3*w^3 - 4*w^2 - 11*w + 5]', '[941, 941, -w^3 - w^2 + 9*w + 7]', '[941, 941, -3*w^3 + 7*w^2 + 7*w - 15]', '[941, 941, 3*w^3 - 2*w^2 - 12*w - 4]', '[941, 941, w^3 + 4*w^2 - 13*w - 16]', '[955, 955, w^2 + 2*w - 5]', '[955, 955, w^2 - 4*w - 2]', '[961, 31, -2*w^2 + 2*w + 13]', '[961, 31, 5*w^2 - 5*w - 18]', '[971, 971, w^3 + 4*w^2 - 9*w - 19]', '[971, 971, w^3 - 7*w^2 + 2*w + 23]', '[979, 979, -2*w^3 + 6*w^2 + 3*w - 18]', '[979, 979, -w^3 + 3*w^2 - 11]', '[979, 979, w^3 - 3*w - 9]', '[979, 979, 2*w^3 - 9*w - 11]', '[981, 327, -2*w^3 + 7*w^2 + 7*w - 26]', '[981, 327, -3*w^3 + 4*w^2 + 10*w - 1]', '[981, 327, -2*w^3 + 6*w^2 + 7*w - 18]', '[981, 327, -6*w^3 + w^2 + 31*w + 23]', '[991, 991, 3*w^3 - 7*w^2 - 7*w + 14]', '[991, 991, -3*w^3 + 2*w^2 + 12*w + 3]', '[995, 995, 3*w^3 - 4*w^2 - 9*w - 3]', '[995, 995, -4*w^2 + 7*w + 15]', '[1009, 1009, -2*w^3 + 7*w^2 + w - 18]', '[1009, 1009, 2*w^3 - 2*w^2 - 9*w + 5]', '[1009, 1009, -w^3 - 3*w^2 + 9*w + 10]', '[1009, 1009, -2*w^3 - w^2 + 9*w + 12]', '[1019, 1019, 5*w^2 - 8*w - 12]', '[1019, 1019, -5*w^2 + 2*w + 15]', '[1021, 1021, 3*w^3 - 5*w^2 - 8*w + 4]', '[1021, 1021, 3*w^3 - 4*w^2 - 11*w + 4]', '[1021, 1021, -3*w^3 + 5*w^2 + 10*w - 8]', '[1021, 1021, 4*w^3 - 6*w^2 - 12*w + 1]', '[1025, 205, -2*w^3 + w^2 + 8*w - 4]', '[1031, 1031, w^3 - w^2 - 7*w - 1]', '[1031, 1031, -w^3 + 2*w^2 + 6*w - 8]', '[1039, 1039, w^3 + 4*w^2 - 6*w - 19]', '[1039, 1039, -w^3 + 7*w^2 - 5*w - 20]', '[1045, 1045, 2*w^3 - 5*w^2 - 6*w + 9]', '[1045, 1045, -2*w^3 + 3*w^2 + 9*w - 10]', '[1045, 1045, 2*w^3 - 3*w^2 - 9*w]', '[1045, 1045, -2*w^3 + w^2 + 10*w]', '[1049, 1049, -3*w^3 + 7*w^2 + 7*w - 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11*w - 6]', '[1759, 1759, -2*w^3 + 7*w^2 - 17]', '[1759, 1759, -2*w^3 - w^2 + 8*w + 12]', '[1759, 1759, 2*w^3 - 7*w^2 - 3*w + 14]', '[1775, 355, 2*w^3 + 4*w^2 - 13*w - 21]', '[1775, 355, -2*w^3 + 10*w^2 - w - 28]', '[1789, 1789, -2*w^3 + 10*w^2 - 4*w - 25]', '[1789, 1789, 2*w^3 + 4*w^2 - 10*w - 21]', '[1791, 597, -5*w^3 + 2*w^2 + 24*w + 14]', '[1791, 597, -3*w^3 + 10*w^2 + 9*w - 32]', '[1791, 597, 5*w^3 - 13*w^2 - 13*w + 35]', '[1791, 597, 3*w^3 + w^2 - 20*w - 16]', '[1801, 1801, w^3 - 10*w^2 + 4*w + 28]', '[1801, 1801, w^3 + 7*w^2 - 13*w - 23]', '[1805, 95, 4*w^3 - 5*w^2 - 14*w - 1]', '[1805, 95, -4*w^3 + 7*w^2 + 10*w - 5]', '[1805, 1805, -3*w^2 + 7*w + 6]', '[1805, 1805, 3*w^2 + w - 10]', '[1811, 1811, -4*w^3 + 4*w^2 + 13*w - 5]', '[1811, 1811, 3*w^3 + 4*w^2 - 17*w - 24]', '[1831, 1831, -4*w^3 + 3*w^2 + 15*w - 1]', '[1831, 1831, -4*w^3 + 9*w^2 + 9*w - 13]', '[1845, 615, 2*w^3 - w^2 - 10*w + 5]', '[1845, 615, -w^3 - 7*w^2 + 7*w + 24]', '[1859, 143, 5*w^2 - 2*w - 22]', '[1859, 143, -2*w^3 + 5*w^2 - w - 11]', '[1859, 143, -3*w^3 + 9*w^2 - 17]', '[1859, 143, 3*w^3 - 5*w^2 - 7*w - 2]', '[1871, 1871, w^3 - 3*w^2 - 3*w + 15]', '[1871, 1871, -w^3 - 5*w^2 + 10*w + 19]', '[1879, 1879, 6*w^2 - 2*w - 25]', '[1879, 1879, -2*w^3 - 2*w^2 + 7*w + 15]', '[1881, 627, w^3 + 5*w^2 - 11*w - 22]', '[1881, 627, -4*w^3 + 9*w^2 + 11*w - 22]', '[1881, 627, w^2 - 2*w - 10]', '[1881, 627, -w^3 + 8*w^2 - 4*w - 25]', '[1881, 627, -w^3 - 5*w^2 + 9*w + 22]', '[1881, 627, -w^2 + 11]', '[1881, 627, w^3 - 8*w^2 + 2*w + 27]', '[1881, 627, 4*w^3 - 3*w^2 - 17*w - 6]', '[1889, 1889, -w^3 + 6*w^2 - 13]', '[1889, 1889, w^3 + 3*w^2 - 9*w - 8]', '[1895, 1895, 2*w^3 + 4*w^2 - 17*w - 19]', '[1895, 1895, -3*w^3 - 2*w^2 + 17*w + 23]', '[1895, 1895, 5*w^3 - 27*w - 19]', '[1895, 1895, 7*w^2 - 10*w - 18]', '[1899, 633, 3*w^3 - 8*w^2 - 9*w + 19]', '[1899, 633, 8*w^3 + 2*w^2 - 47*w - 42]', '[1899, 633, -3*w^3 + w^2 + 16*w + 5]', '[1899, 633, -8*w^3 + 26*w^2 + 19*w - 79]', '[1901, 1901, 3*w^2 - 7*w - 9]', '[1901, 1901, 3*w^2 + w - 13]', '[1919, 1919, 4*w^2 - 9]', '[1919, 1919, -6*w^3 + 15*w^2 + 18*w - 46]', '[1919, 1919, 3*w^3 - w^2 - 13*w - 1]', '[1919, 1919, 4*w^3 - 11*w^2 - 9*w + 24]', '[1931, 1931, -4*w^3 + 2*w^2 + 15*w + 7]', '[1931, 1931, -w^3 - 5*w^2 + 11*w + 21]', '[1931, 1931, -w^3 + 8*w^2 - 2*w - 26]', '[1931, 1931, 4*w^3 - 10*w^2 - 7*w + 20]', '[1936, 22, -6*w^2 + 6*w + 22]', '[1936, 22, -6*w^2 + 6*w + 20]', '[1936, 242, 2*w^3 - 10*w^2 + 30]', '[1936, 242, -2*w^3 - 4*w^2 + 14*w + 22]', '[1945, 1945, 2*w^3 - 5*w^2 - 2*w + 12]', '[1945, 1945, -2*w^3 + 11*w^2 - 6*w - 27]', '[1945, 1945, 4*w^3 - w^2 - 18*w - 15]', '[1945, 1945, -w^3 + 5*w^2 - 2*w - 17]', '[1949, 1949, 4*w^3 - 5*w^2 - 16*w - 2]', '[1949, 1949, 8*w^2 - 11*w - 21]', '[1951, 1951, w^3 + 5*w^2 - 10*w - 23]', '[1951, 1951, w^3 - 8*w^2 + 3*w + 27]', '[1969, 1969, 2*w^3 - 8*w^2 - 3*w + 20]', '[1969, 1969, w^3 - 5*w^2 - 2*w + 11]', '[1969, 1969, w^3 + 2*w^2 - 9*w - 5]', '[1969, 1969, 2*w^3 + 2*w^2 - 13*w - 11]', '[1975, 395, w^3 - 7*w^2 + 5*w + 21]', '[1975, 395, w^3 + 4*w^2 - 6*w - 20]', '[1979, 1979, -w^3 + 7*w^2 + w - 28]', '[1979, 1979, 3*w^3 - 2*w^2 - 11*w - 8]', '[1991, 1991, 5*w^3 - w^2 - 22*w - 11]', '[1991, 1991, -4*w^3 + 8*w^2 + 11*w - 11]', '[1991, 1991, 4*w^3 - 4*w^2 - 15*w + 4]', '[1991, 1991, -5*w^3 + 14*w^2 + 9*w - 29]', '[2000, 10, -4*w^3 + 6*w^2 + 12*w - 2]', '[2009, 287, -2*w^3 - w^2 + 10*w + 16]', '[2009, 287, 2*w^3 - 7*w^2 - 2*w + 23]', '[2011, 2011, 3*w^3 - 4*w^2 - 11*w + 14]', '[2011, 2011, 3*w^3 - 4*w^2 - 11*w - 5]', '[2011, 2011, w^3 + 6*w^2 - 13*w - 26]', '[2011, 2011, 3*w^3 - 5*w^2 - 10*w - 2]', '[2025, 15, -6*w^2 + 6*w + 21]', '[2025, 45, 4*w^3 - 4*w^2 - 14*w + 5]', '[2025, 45, 4*w^3 - 8*w^2 - 10*w + 9]', '[2039, 2039, -3*w^3 + 6*w^2 + 12*w - 20]', '[2039, 2039, -3*w^3 + 3*w^2 + 15*w + 5]', '[2059, 2059, -w^3 + 7*w^2 - 19]', '[2059, 2059, -w^3 + 6*w^2 - 3*w - 20]', '[2059, 2059, 2*w^3 - 4*w^2 - 3*w + 10]', '[2059, 2059, -w^3 - 4*w^2 + 11*w + 13]', '[2061, 687, 2*w^3 - 11*w^2 - w + 37]', '[2061, 687, -4*w^3 + 23*w + 23]', '[2061, 687, 2*w^3 + 5*w^2 - 17*w - 27]', '[2061, 687, -4*w^3 + 12*w^2 + 11*w - 42]', '[2069, 2069, -2*w^3 - 6*w^2 + 17*w + 23]', '[2069, 2069, -3*w^3 + 19*w + 7]', '[2071, 2071, -2*w^3 + 6*w^2 + w - 4]', '[2071, 2071, -w^3 + 9*w^2 - 2*w - 29]', '[2071, 2071, -3*w^3 + w^2 + 15*w + 15]', '[2071, 2071, w^3 + 6*w^2 - 9*w - 26]', '[2095, 2095, 7*w^3 - 12*w^2 - 21*w + 2]', '[2095, 2095, -5*w^3 + 7*w^2 + 15*w + 2]', '[2095, 2095, 2*w^3 - 7*w^2 + w + 16]', '[2095, 2095, -w^3 + 14*w^2 - 16*w - 36]', '[2096, 262, -4*w^3 + 10*w^2 + 8*w - 18]', '[2096, 262, -2*w^3 + 2*w^2 + 6*w + 10]', '[2096, 262, -2*w^3 + 4*w^2 + 4*w - 16]', '[2096, 262, -2*w^3 + 12*w^2 - 36]', '[2101, 2101, -3*w^2 - w + 11]', '[2101, 2101, 6*w^2 - w - 22]', '[2101, 2101, 6*w^2 - 11*w - 17]', '[2101, 2101, -3*w^2 + 7*w + 7]', '[2105, 2105, -w^3 - 5*w^2 + 9*w + 20]', '[2105, 2105, w^3 - 8*w^2 + 4*w + 23]', '[2111, 2111, -w^3 + w^2 + 3*w - 7]', '[2111, 2111, w^3 + 5*w^2 - 9*w - 21]', '[2111, 2111, -w^3 + 8*w^2 - 4*w - 24]', '[2111, 2111, w^3 - 2*w^2 - 2*w - 4]', '[2129, 2129, -3*w^3 + 8*w^2 + 7*w - 15]', '[2129, 2129, -3*w^3 + w^2 + 14*w + 3]', '[2141, 2141, 3*w^2 + w - 12]', '[2141, 2141, 2*w^3 + 5*w^2 - 16*w - 23]', '[2141, 2141, -2*w^3 + 11*w^2 - 32]', '[2141, 2141, 3*w^2 - 7*w - 8]', '[2151, 717, -4*w^3 + 15*w^2 + 8*w - 54]', '[2151, 717, 7*w^3 + 5*w^2 - 45*w - 52]', '[2151, 717, 4*w^3 + 3*w^2 - 26*w - 35]', '[2151, 717, -7*w^3 + 26*w^2 + 14*w - 85]', '[2161, 2161, 2*w^3 - 5*w^2 - 5*w + 2]', '[2161, 2161, -3*w^3 + 9*w^2 + 3*w - 10]', '[2169, 723, -5*w^3 + 4*w^2 + 20*w + 12]', '[2169, 723, 3*w^3 - 10*w^2 - 3*w + 26]', '[2169, 723, -4*w^3 + w^2 + 21*w + 10]', '[2169, 723, -7*w^3 + 23*w^2 + 17*w - 70]', '[2169, 723, 4*w^3 - 11*w^2 - 11*w + 28]', '[2169, 723, 7*w^3 + 2*w^2 - 42*w - 37]', '[2169, 723, -5*w^3 + 11*w^2 + 13*w - 31]', '[2169, 723, 3*w^3 + w^2 - 14*w - 16]', '[2179, 2179, -2*w^3 + 5*w^2 + 6*w - 6]', '[2179, 2179, -2*w^3 + w^2 + 10*w - 3]', '[2189, 2189, 2*w^3 - 6*w^2 - 2*w + 17]', '[2189, 2189, w^3 - 3*w^2 + w + 11]', '[2189, 2189, w^3 - 2*w - 10]', '[2189, 2189, 2*w^3 - 8*w - 11]', '[2195, 2195, 3*w^3 - w^2 - 13*w - 13]', '[2195, 2195, 4*w^3 - 6*w^2 - 11*w - 1]', '[2205, 105, -4*w^3 + 3*w^2 + 17*w + 5]', '[2205, 105, -4*w^3 + 3*w^2 + 14*w - 1]', '[2205, 105, -w^3 - 2*w^2 + 11*w + 7]', '[2205, 105, w^2 + 3*w - 8]', '[2209, 47, -2*w^3 + 5*w^2 + 6*w - 5]', '[2209, 47, -2*w^3 + w^2 + 10*w - 4]', '[2221, 2221, -w^3 - 5*w^2 + 10*w + 20]', '[2221, 2221, -w^3 + 8*w^2 - 3*w - 24]', '[2225, 445, 3*w^3 - 3*w^2 - 13*w + 5]', '[2225, 445, 3*w^3 - 6*w^2 - 10*w + 8]', '[2239, 2239, -4*w^3 - w^2 + 21*w + 16]', '[2239, 2239, -2*w^3 - 3*w^2 + 15*w + 15]', '[2239, 2239, 4*w^3 - 8*w^2 - 11*w + 6]', '[2239, 2239, -4*w^3 + 13*w^2 + 7*w - 32]', '[2245, 2245, 13*w^2 - 20*w - 42]', '[2245, 2245, 2*w^3 - 6*w^2 - 6*w + 13]', '[2245, 2245, 2*w^3 - 12*w - 3]', '[2245, 2245, -3*w^3 - 2*w^2 + 16*w + 21]', '[2251, 2251, 4*w^3 - 6*w^2 - 13*w + 3]', '[2251, 2251, 3*w^3 - 13*w^2 - 2*w + 39]', '[2251, 2251, -3*w^3 - 4*w^2 + 19*w + 27]', '[2251, 2251, -5*w^2 + 10*w + 16]', '[2255, 2255, -2*w^2 + 3*w - 1]', '[2255, 2255, -6*w^3 + 5*w^2 + 21*w - 11]', '[2269, 2269, -4*w^3 + 2*w^2 + 17*w + 13]', '[2269, 2269, -3*w^3 + w^2 + 13*w + 15]', '[2281, 2281, 4*w - 5]', '[2281, 2281, -4*w - 1]', '[2291, 2291, w^3 + 4*w^2 - 14*w - 18]', '[2291, 2291, 2*w^3 - 11*w^2 - w + 36]', '[2291, 2291, -w^3 + 10*w^2 - 2*w - 35]', '[2291, 2291, 2*w^3 + 6*w^2 - 15*w - 32]', '[2299, 209, -w^3 - 4*w^2 + 12*w + 13]', '[2299, 209, -3*w^3 + 8*w^2 + 6*w - 11]', '[2299, 209, w^3 - 7*w^2 - w + 20]', '[2299, 209, 3*w^3 - w^2 - 13*w]', '[2299, 2299, 7*w^2 - 3*w - 22]', '[2299, 2299, 2*w^3 - 9*w^2 + 3*w + 22]', '[2299, 2299, 2*w^3 + 3*w^2 - 9*w - 18]', '[2299, 2299, 7*w^2 - 11*w - 18]', '[2304, 12, 4*w^3 - 12*w^2 - 8*w + 36]', '[2304, 12, -4*w^3 + 20*w + 20]', '[2309, 2309, 4*w^3 - 5*w^2 - 12*w - 3]', '[2309, 2309, 2*w^3 - 9*w^2 + 4*w + 21]', '[2311, 2311, 9*w^2 - 7*w - 37]', '[2311, 2311, 9*w^2 - 11*w - 35]', '[2320, 290, 4*w^3 - 14*w^2 + 28]', '[2320, 290, -4*w^3 + 14*w^2 + 2*w - 24]', '[2321, 2321, 2*w^3 - 5*w^2 - 7*w + 21]', '[2321, 2321, w^3 - w^2 - 4*w - 7]', '[2321, 2321, w^3 - 2*w^2 - 3*w + 11]', '[2321, 2321, 2*w^3 - w^2 - 11*w - 11]', '[2339, 2339, -3*w^3 + 12*w^2 + 5*w - 34]', '[2339, 2339, -3*w^3 + 7*w^2 + 8*w - 10]', '[2339, 2339, -3*w^3 + 2*w^2 + 13*w - 2]', '[2339, 2339, -3*w^2 + 20]', '[2349, 87, -3*w^3 + 12*w^2 + 3*w - 30]', '[2349, 87, 3*w^3 - 9*w^2 - 3*w + 21]', '[2349, 261, -5*w^3 + 18*w^2 + w - 38]', '[2349, 261, -5*w^3 + 10*w^2 + 13*w - 26]', '[2349, 261, 5*w^3 - 17*w^2 - 3*w + 31]', '[2349, 261, w^3 - 9*w^2 + w + 27]', '[2351, 2351, w^3 + 5*w^2 - 10*w - 21]', '[2351, 2351, -w^3 + 8*w^2 - 3*w - 25]', '[2371, 2371, w^3 + 6*w^2 - 13*w - 25]', '[2371, 2371, 3*w^3 - 6*w^2 - 8*w + 1]', '[2375, 95, -w^3 - w^2 + 3*w + 12]', '[2375, 95, -w^3 + 4*w^2 - 2*w - 13]', '[2381, 2381, 2*w^3 - 11*w^2 + 3*w + 27]', '[2381, 2381, -2*w^3 - 5*w^2 + 13*w + 21]', '[2384, 298, -2*w^3 - 4*w^2 + 14*w + 16]', '[2384, 298, -4*w^3 + 12*w^2 + 10*w - 32]', '[2389, 2389, 4*w^3 - 9*w^2 - 9*w + 23]', '[2389, 2389, 4*w^3 - 3*w^2 - 15*w - 9]', '[2395, 2395, w^3 - 16*w^2 + 20*w + 42]', '[2395, 2395, 9*w^2 - 13*w - 32]', '[2401, 7, 7]', '[2401, 49, -w^3 + 9*w^2 - 2*w - 30]', '[2401, 49, w^3 + 6*w^2 - 13*w - 24]', '[2416, 302, 2*w^2 + 2*w - 10]', '[2416, 302, 2*w^2 - 6*w - 6]', '[2439, 813, -3*w^3 + 8*w^2 + 6*w - 25]', '[2439, 813, 6*w^3 + w^2 - 32*w - 31]', '[2439, 813, -2*w^3 + 6*w^2 + w - 15]', '[2439, 813, 3*w^3 + 2*w^2 - 13*w - 17]', '[2439, 813, -2*w^3 + 7*w + 10]', '[2439, 813, 3*w^3 - 11*w^2 + 25]', '[2439, 813, 3*w^3 - w^2 - 13*w - 14]', '[2439, 813, -6*w^3 + 19*w^2 + 12*w - 56]', '[2441, 2441, -4*w^3 + 8*w^2 + 10*w - 17]', '[2441, 2441, 4*w^3 - 4*w^2 - 14*w - 3]', '[2475, 165, w^3 - 2*w - 11]', '[2475, 165, -3*w^3 + 4*w^2 + 12*w - 11]', '[2475, 165, -w^3 + 3*w^2 - w - 12]', '[2475, 165, -3*w^3 + 5*w^2 + 11*w - 2]', '[2489, 2489, -7*w^3 + 8*w^2 + 25*w - 16]', '[2489, 2489, 3*w^3 - 5*w^2 - 13*w + 5]', '[2489, 2489, -3*w^3 + 10*w^2 + 4*w - 29]', '[2489, 2489, -4*w^3 + 9*w^2 + 6*w - 4]', '[2489, 2489, -3*w^3 + 18*w^2 + 3*w - 58]', '[2489, 2489, w^3 + w^2 - 9*w + 3]', '[2489, 2489, 3*w^3 - 4*w^2 - 14*w + 10]', '[2489, 2489, -7*w^3 + 13*w^2 + 20*w - 10]', '[2495, 2495, 6*w^3 - 12*w^2 - 13*w + 5]', '[2495, 2495, -w^3 - 2*w^2 + 11*w + 17]', '[2519, 2519, 2*w^3 - 6*w^2 - 5*w + 11]', '[2519, 2519, -3*w^3 - w^2 + 16*w + 11]', '[2519, 2519, 3*w^3 - 10*w^2 - 5*w + 23]', '[2519, 2519, -2*w^3 + 11*w + 2]', '[2521, 2521, -w^3 + w^2 + 8*w + 2]', '[2521, 2521, -4*w^3 + 7*w^2 + 13*w - 10]', '[2521, 2521, -4*w^3 + 5*w^2 + 15*w - 6]', '[2521, 2521, -w^3 + 2*w^2 + 7*w - 10]', '[2525, 505, 3*w^3 + 4*w^2 - 20*w - 27]', '[2525, 505, -3*w^3 + 13*w^2 + 3*w - 40]', '[2529, 843, -2*w^3 + 7*w^2 + w - 20]', '[2529, 843, 7*w^3 - 2*w^2 - 34*w - 27]', '[2529, 843, -7*w^3 + 19*w^2 + 17*w - 56]', '[2529, 843, 2*w^3 + w^2 - 9*w - 14]', '[2531, 2531, -w^3 + 3*w^2 + 6*w - 6]', '[2531, 2531, -w^3 + 9*w - 2]', '[2539, 2539, -w^3 - 5*w^2 + 7*w + 24]', '[2539, 2539, w^3 - 8*w^2 + 6*w + 25]', '[2545, 2545, 5*w^3 - 13*w^2 - 9*w + 19]', '[2545, 2545, 5*w^3 + 2*w^2 - 29*w - 26]', '[2549, 2549, 3*w^2 - 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20]', '[9661, 9661, -3*w^3 - 3*w^2 + 24*w + 20]', '[9671, 9671, -w^3 + 8*w^2 + 5*w - 21]', '[9671, 9671, 8*w^3 - 3*w^2 - 39*w - 23]', '[9671, 9671, -8*w^3 + 21*w^2 + 21*w - 57]', '[9671, 9671, w^3 + 5*w^2 - 18*w - 9]', '[9679, 9679, 5*w^3 - 14*w^2 - 9*w + 24]', '[9679, 9679, 5*w^3 - w^2 - 22*w - 6]', '[9680, 110, -6*w^3 + 8*w^2 + 20*w]', '[9680, 110, -6*w^3 + 10*w^2 + 16*w - 6]', '[9680, 1210, -2*w^3 + 6*w - 4]', '[9680, 1210, 2*w^3 - 6*w^2]', '[9689, 9689, -2*w^3 + 13*w - 4]', '[9689, 9689, -2*w^3 + 6*w^2 + 7*w - 7]', '[9691, 9691, 6*w^3 - 7*w^2 - 19*w + 11]', '[9691, 9691, 6*w^3 - 4*w^2 - 21*w]', '[9691, 9691, -5*w^3 + 6*w^2 + 17*w - 7]', '[9691, 9691, -6*w^3 + 2*w^2 + 25*w + 11]', '[9691, 9691, 6*w^3 - 16*w^2 - 11*w + 32]', '[9691, 9691, 5*w^3 - 9*w^2 - 14*w + 11]', '[9691, 9691, 6*w^3 - 14*w^2 - 11*w + 19]', '[9691, 9691, 6*w^3 - 11*w^2 - 15*w + 9]', '[9701, 9701, -2*w^3 + 4*w^2 + 7*w - 19]', '[9701, 9701, 2*w^3 + 7*w^2 - 15*w - 31]', '[9701, 9701, -2*w^3 + 13*w^2 - 5*w - 37]', '[9701, 9701, 2*w^3 - 2*w^2 - 9*w - 10]', '[9719, 9719, 4*w^3 + w^2 - 22*w - 14]', '[9719, 9719, 3*w^3 + 3*w^2 - 20*w - 17]', '[9719, 9719, -3*w^3 + 12*w^2 + 5*w - 31]', '[9719, 9719, 4*w^3 - 13*w^2 - 8*w + 31]', '[9725, 1945, 2*w^3 - 14*w + 3]', '[9725, 1945, -4*w^3 + 13*w^2 + 5*w - 19]', '[9725, 1945, 6*w^3 - 11*w^2 - 21*w + 30]', '[9725, 1945, 2*w^3 - 6*w^2 - 8*w + 9]', '[9739, 9739, -5*w^3 - w^2 + 27*w + 19]', '[9739, 9739, -5*w^3 - w^2 + 25*w + 27]', '[9745, 9745, -3*w^3 + 7*w^2 + 3*w - 16]', '[9745, 9745, 4*w^3 + 13*w^2 - 43*w - 61]', '[9749, 9749, 3*w^3 + 4*w^2 - 16*w - 28]', '[9749, 9749, w^3 + 6*w^2 - 8*w - 31]', '[9749, 9749, -w^3 + 9*w^2 - 7*w - 32]', '[9749, 9749, -3*w^3 + 13*w^2 - w - 37]', '[9751, 1393, 2*w^3 + 6*w^2 - 23*w - 28]', '[9751, 1393, -5*w^3 + 6*w^2 + 17*w - 1]', '[9751, 1393, -5*w^3 + 9*w^2 + 14*w - 17]', '[9751, 1393, -5*w^2 + 11*w + 13]', '[9755, 9755, -6*w^3 + 10*w^2 + 18*w - 7]', '[9755, 9755, 7*w^3 - 5*w^2 - 30*w - 14]', '[9769, 9769, -5*w^3 + 2*w^2 + 21*w + 1]', '[9769, 9769, -5*w^3 + 13*w^2 + 10*w - 19]', '[9781, 9781, 2*w^3 - w^2 - 6*w - 18]', '[9781, 9781, -w^3 + w^2 + 2*w - 10]', '[9781, 9781, w^3 - 2*w^2 - w - 8]', '[9781, 9781, -2*w^3 + 5*w^2 + 2*w - 23]', '[9791, 9791, -5*w^3 + 10*w^2 + 12*w - 14]', '[9791, 9791, 7*w^3 - 15*w^2 - 21*w + 30]', '[9791, 9791, -7*w^3 + 6*w^2 + 30*w + 1]', '[9791, 9791, 5*w^3 - 5*w^2 - 17*w + 3]', '[9799, 9799, 4*w^3 - 2*w^2 - 15*w - 13]', '[9799, 9799, -4*w^3 + 10*w^2 + 7*w - 26]', '[9801, 33, -9*w^2 + 9*w + 33]', '[9801, 33, -9*w^2 + 9*w + 30]', '[9801, 99, 6*w^3 - 11*w^2 - 17*w + 11]', '[9801, 99, 6*w^3 - 5*w^2 - 21*w + 4]', '[9801, 99, 6*w^3 - 7*w^2 - 21*w + 11]', '[9801, 99, 6*w^3 - 13*w^2 - 13*w + 16]', '[9801, 363, 3*w^3 - 15*w^2 + 45]', '[9801, 363, -3*w^3 - 6*w^2 + 21*w + 33]', '[9801, 1089, 2*w^3 - 4*w^2 - 5*w + 18]', '[9801, 1089, 6*w^3 - 8*w^2 - 21*w + 1]', '[9801, 1089, 6*w^3 - 10*w^2 - 19*w + 22]', '[9801, 1089, -2*w^3 + 2*w^2 + 7*w + 11]', '[9811, 9811, 2*w^3 - w^2 - 14*w - 4]', '[9811, 9811, 2*w^3 - 5*w^2 - 10*w + 17]', '[9819, 3273, 7*w^2 - 11*w - 28]', '[9819, 3273, -5*w^3 + 19*w^2 + 13*w - 68]', '[9819, 3273, -5*w^3 + 11*w^2 + 19*w - 37]', '[9819, 3273, -7*w^3 + 7*w^2 + 30*w + 10]', '[9819, 3273, -5*w^3 + 4*w^2 + 26*w + 12]', '[9819, 3273, -7*w^3 + 14*w^2 + 23*w - 40]', '[9819, 3273, 5*w^3 + 4*w^2 - 36*w - 41]', '[9819, 3273, 7*w^2 - 3*w - 32]', '[9829, 9829, 2*w^3 - 11*w^2 + 26]', '[9829, 9829, -2*w^3 - 5*w^2 + 16*w + 17]', '[9839, 9839, 7*w^3 - 5*w^2 - 31*w - 2]', '[9839, 9839, -4*w^3 - 4*w^2 + 18*w + 27]', '[9839, 9839, 5*w^3 - 22*w - 8]', '[9839, 9839, -7*w^3 + 5*w^2 + 28*w + 17]', '[9845, 9845, 11*w^2 - 5*w - 44]', '[9845, 9845, -3*w^3 + 7*w^2 + 5*w - 22]', '[9845, 9845, 3*w^3 - 2*w^2 - 10*w - 13]', '[9845, 9845, 11*w^2 - 17*w - 38]', '[9851, 9851, -3*w^2 + w + 23]', '[9851, 9851, -2*w^3 - 7*w^2 + 15*w + 30]', '[9859, 9859, 2*w^3 + 7*w^2 - 23*w - 35]', '[9859, 9859, -4*w^3 + 4*w^2 + 13*w + 10]', '[9875, 395, -8*w^3 + 17*w^2 + 19*w - 14]', '[9875, 395, 3*w^3 + 3*w^2 - 19*w - 16]', '[9881, 9881, -2*w^3 + 13*w^2 - 2*w - 43]', '[9881, 9881, 5*w^3 - 7*w^2 - 16*w + 4]', '[9881, 9881, 5*w^3 - 8*w^2 - 15*w + 14]', '[9881, 9881, 2*w^3 + 7*w^2 - 18*w - 34]', '[9895, 9895, 2*w^3 - 8*w^2 - 5*w + 18]', '[9895, 9895, 2*w^3 + 2*w^2 - 15*w - 7]', '[9899, 9899, -6*w^3 - w^2 + 31*w + 32]', '[9899, 9899, 3*w^3 + 11*w^2 - 33*w - 45]', '[9899, 9899, -4*w^3 + 3*w^2 + 10*w - 10]', '[9899, 9899, -w^3 + 6*w^2 + 3*w - 10]', '[9904, 1238, 2*w^3 - 6*w - 14]', '[9904, 1238, 2*w^3 - 10*w^2 + 6*w + 26]', '[9904, 1238, 6*w^3 - 8*w^2 - 18*w - 4]', '[9904, 1238, -2*w^3 + 6*w^2 - 18]', '[9929, 9929, -7*w^2 + 10*w + 31]', '[9929, 9929, 7*w^2 - 4*w - 34]', '[9931, 9931, 5*w^3 - 6*w^2 - 18*w + 5]', '[9931, 9931, -4*w^3 + 18*w^2 + 3*w - 52]', '[9931, 9931, 4*w^3 + 6*w^2 - 27*w - 35]', '[9931, 9931, 5*w^3 - 9*w^2 - 15*w + 14]', '[9941, 9941, -4*w^3 + 3*w^2 + 18*w + 15]', '[9941, 9941, 4*w^3 - 5*w^2 - 14*w - 9]', '[9949, 9949, -2*w^3 + 10*w^2 - 5*w - 27]', '[9949, 9949, 2*w^3 + 4*w^2 - 9*w - 24]', '[9955, 9955, 3*w^3 + 2*w^2 - 20*w - 29]', '[9955, 9955, -6*w^3 + 7*w^2 + 17*w - 22]', '[9955, 9955, -6*w^3 + 11*w^2 + 13*w + 4]', '[9955, 9955, 3*w^3 - 11*w^2 - 7*w + 44]', '[9999, 3333, 10*w^3 - 33*w^2 - 23*w + 99]', '[9999, 3333, 8*w^3 - 27*w^2 - 13*w + 77]', '[9999, 3333, 4*w^3 + w^2 - 20*w - 11]', '[9999, 3333, -4*w^3 + 3*w^2 + 14*w + 11]', '[9999, 3333, 3*w^3 - 2*w^2 - 17*w + 5]', '[9999, 3333, w^3 - 10*w^2 + w + 41]', '[9999, 3333, -w^3 - 8*w^2 + 6*w + 25]', '[9999, 3333, 3*w^3 - w^2 - 15*w + 2]', '[10000, 10, 10]'], 'label': '4.4.5125.1', 'narrow_class_no': 2, 'primes': ['[5, 5, -w^2 + 2*w + 3]', '[9, 3, w^3 - 3*w^2 - 2*w + 9]', '[9, 3, -w^3 + 5*w + 5]', '[11, 11, w]', '[11, 11, w - 1]', '[16, 2, 2]', '[19, 19, -w^3 + 2*w^2 + 3*w - 2]', '[19, 19, w^3 - w^2 - 4*w + 2]', '[29, 29, w^3 - 4*w^2 - w + 10]', '[29, 29, -w^3 + 3*w^2 + w - 7]', '[41, 41, 3*w^2 - 2*w - 10]', '[49, 7, -2*w^2 + 3*w + 8]', '[49, 7, w^3 - 2*w^2 - 2*w + 5]', '[71, 71, -w - 3]', '[71, 71, w - 4]', '[79, 79, -w^3 + w^2 + 3*w + 3]', '[79, 79, -w^3 + 2*w^2 + 2*w - 6]', '[89, 89, w^3 - 3*w^2 - 3*w + 7]', '[89, 89, w^3 - 6*w - 2]', '[101, 101, 2*w^3 - 5*w^2 - 3*w + 9]', '[101, 101, -w^3 + 3*w^2 + 3*w - 12]', '[109, 109, -w^3 + 4*w^2 + w - 9]', '[109, 109, -w^3 + 2*w^2 + 4*w - 2]', '[121, 11, -3*w^2 + 3*w + 10]', '[131, 131, -2*w^3 + 5*w^2 + 4*w - 9]', '[131, 131, -w^3 + w^2 + 3*w + 5]', '[131, 131, -w^3 + 2*w^2 + 2*w - 8]', '[131, 131, -w^3 + 6*w^2 - 18]', '[149, 149, -w^3 - 2*w^2 + 7*w + 8]', '[149, 149, -2*w^3 + 6*w^2 + 5*w - 16]', '[151, 151, w^2 + w - 5]', '[151, 151, w^2 - 3*w - 3]', '[169, 13, w^3 - 4*w^2 - w + 6]', '[169, 13, 2*w^3 - 5*w^2 - 4*w + 6]', '[179, 179, w^3 - 4*w - 6]', '[179, 179, -w^3 + 3*w^2 + w - 9]', '[181, 181, w^3 + 3*w^2 - 7*w - 15]', '[181, 181, w^3 - 6*w^2 + 2*w + 18]', '[191, 191, 5*w^2 - 7*w - 15]', '[191, 191, -4*w^2 + 5*w + 12]', '[199, 199, -w^3 + 3*w^2 + 3*w - 6]', '[199, 199, w^3 - 6*w - 1]', '[211, 211, w^3 - 7*w - 4]', '[211, 211, -w^3 + 3*w^2 + 4*w - 10]', '[229, 229, -w^3 - w^2 + 5*w + 9]', '[229, 229, -w^3 + 4*w^2 - 12]', '[239, 239, 4*w^2 - 5*w - 17]', '[239, 239, 4*w^2 - 3*w - 18]', '[241, 241, -w^3 + 3*w^2 + w - 2]', '[241, 241, -w^3 + 3*w^2 + 4*w - 9]', '[241, 241, w^3 - 7*w - 3]', '[241, 241, -w^3 + 4*w - 1]', '[271, 271, -w - 4]', '[271, 271, w^3 - 3*w^2 - 2*w + 2]', '[271, 271, -2*w^3 + 6*w^2 + 2*w - 7]', '[271, 271, w - 5]', '[281, 281, w^3 - 2*w^2 - 3*w - 1]', '[281, 281, -w^3 + w^2 + 4*w - 5]', '[289, 17, -2*w^3 + w^2 + 9*w + 1]', '[289, 17, -2*w^3 + 5*w^2 + 5*w - 9]', '[311, 311, w^3 - w^2 - 6*w + 1]', '[311, 311, -w^3 + 2*w^2 + 5*w - 5]', '[331, 331, -3*w^3 + 5*w^2 + 10*w - 5]', '[331, 331, 3*w^3 - 2*w^2 - 12*w - 6]', '[349, 349, -2*w^3 + 2*w^2 + 10*w + 3]', '[349, 349, -2*w^3 - w^2 + 12*w + 10]', '[349, 349, 2*w^3 + w^2 - 10*w - 12]', '[349, 349, -2*w^3 + 4*w^2 + 8*w - 13]', '[361, 19, -4*w^2 + 4*w + 13]', '[379, 379, w^3 + w^2 - 5*w - 10]', '[379, 379, -3*w^3 + 4*w^2 + 12*w - 7]', '[379, 379, w^3 + 4*w^2 - 8*w - 21]', '[379, 379, w^3 - 3*w - 6]', '[389, 389, 2*w^3 - 6*w^2 - 4*w + 13]', '[389, 389, -5*w^2 + 7*w + 13]', '[389, 389, 2*w^3 - 7*w^2 - 5*w + 20]', '[389, 389, 2*w^3 - 10*w - 5]', '[419, 419, -w^3 + 5*w^2 + w - 13]', '[419, 419, 4*w^2 - 7*w - 14]', '[419, 419, 2*w^3 - 3*w^2 - 5*w - 1]', '[419, 419, -w^3 - 2*w^2 + 8*w + 8]', '[421, 421, -2*w^2 + 5*w + 7]', '[421, 421, w^3 - 6*w^2 + 5*w + 13]', '[439, 439, 2*w^3 - 2*w^2 - 9*w + 3]', '[439, 439, w^3 + w^2 - 7*w - 4]', '[449, 449, 3*w^3 - 6*w^2 - 9*w + 8]', '[449, 449, 5*w^2 - 8*w - 17]', '[449, 449, 2*w^3 - w^2 - 8*w - 7]', '[449, 449, -3*w^3 + 3*w^2 + 12*w - 4]', '[479, 479, -2*w^3 + 3*w^2 + 5*w + 3]', '[479, 479, 3*w^3 - 7*w^2 - 9*w + 15]', '[499, 499, -w^3 + 4*w^2 + 4*w - 9]', '[499, 499, w^3 + w^2 - 9*w - 2]', '[509, 509, 2*w^3 + 2*w^2 - 11*w - 16]', '[509, 509, -2*w^3 + 8*w^2 + w - 23]', '[521, 521, -3*w^3 + w^2 + 13*w + 6]', '[521, 521, w^3 + 4*w^2 - 10*w - 16]', '[541, 541, 3*w^3 - 2*w^2 - 13*w - 3]', '[541, 541, -w^3 + 7*w^2 - w - 25]', '[541, 541, w^3 + 4*w^2 - 10*w - 20]', '[541, 541, -3*w^3 + 7*w^2 + 8*w - 15]', '[571, 571, w^3 + 4*w^2 - 9*w - 15]', '[571, 571, w^3 - 7*w^2 + 2*w + 19]', '[601, 601, -3*w^3 + 2*w^2 + 13*w + 5]', '[601, 601, 3*w^3 - 7*w^2 - 8*w + 17]', '[619, 619, w^3 - 3*w - 7]', '[619, 619, w^3 - 5*w^2 + 3*w + 13]', '[619, 619, 3*w^3 - 4*w^2 - 9*w - 2]', '[619, 619, -w^3 + 3*w^2 - 9]', '[641, 641, 6*w^2 - 4*w - 23]', '[641, 641, -3*w^3 + w^2 + 12*w + 5]', '[659, 659, -2*w^3 + 6*w^2 + 3*w - 17]', '[659, 659, -2*w^3 + 9*w + 10]', '[661, 661, 3*w^3 - 6*w^2 - 9*w + 14]', '[661, 661, 5*w^2 - 6*w - 18]', '[661, 661, -5*w^2 + 4*w + 19]', '[661, 661, 3*w^3 - 3*w^2 - 12*w - 2]', '[691, 691, -3*w^3 + 5*w^2 + 10*w - 6]', '[691, 691, -3*w^3 + 4*w^2 + 11*w - 6]', '[701, 701, -w^3 - 4*w^2 + 9*w + 20]', '[701, 701, -w^3 + 4*w^2 + 3*w - 19]', '[701, 701, -w^3 + 4*w^2 + 4*w - 15]', '[701, 701, w^3 - 7*w^2 + 2*w + 24]', '[709, 709, 3*w^2 - 5*w - 13]', '[709, 709, 3*w^2 - w - 15]', '[719, 719, -w^3 + 3*w^2 + 4*w - 4]', '[719, 719, -w^3 + 7*w - 2]', '[739, 739, -w^3 + 4*w^2 + 3*w - 9]', '[739, 739, -2*w^3 - w^2 + 11*w + 8]', '[739, 739, 2*w^3 - 7*w^2 - 3*w + 16]', '[739, 739, -w^3 - w^2 + 8*w + 3]', '[751, 751, 3*w^3 - 5*w^2 - 10*w + 10]', '[751, 751, 2*w^2 - 5*w - 5]', '[761, 761, 3*w^3 - 3*w^2 - 11*w + 3]', '[761, 761, w^3 - 2*w^2 - 3*w - 2]', '[761, 761, -w^3 + w^2 + 4*w - 6]', '[761, 761, -3*w^3 + 6*w^2 + 8*w - 8]', '[769, 769, -w^3 - w^2 + 7*w + 1]', '[769, 769, -2*w^3 + 6*w^2 + 6*w - 15]', '[769, 769, -2*w^3 + 5*w^2 + 5*w - 7]', '[769, 769, 2*w^3 + w^2 - 12*w - 9]', '[809, 809, -2*w^3 + 8*w^2 + 4*w - 23]', '[809, 809, -3*w^3 + 11*w^2 + 2*w - 28]', '[829, 829, -3*w^3 + 7*w^2 + 7*w - 9]', '[829, 829, w^3 + 2*w^2 - 6*w - 15]', '[829, 829, -w^3 + 5*w^2 - w - 18]', '[829, 829, -3*w^3 + 2*w^2 + 12*w - 2]', '[839, 839, 2*w^3 - 9*w^2 + 20]', '[839, 839, -3*w^3 + 10*w^2 + 5*w - 30]', '[841, 29, 5*w^2 - 5*w - 16]', '[881, 881, -w^3 - 4*w^2 + 8*w + 18]', '[881, 881, 2*w^3 - 7*w^2 - w + 9]', '[881, 881, 2*w^3 - 6*w^2 - 3*w + 6]', '[881, 881, -w^3 + 7*w^2 - 3*w - 21]', '[911, 911, -w^3 - 4*w^2 + 8*w + 16]', '[911, 911, -w^3 - w^2 + 9*w + 5]', '[911, 911, -w^3 + 4*w^2 + 4*w - 12]', '[911, 911, w^3 - 7*w^2 + 3*w + 19]', '[919, 919, -4*w^3 + 7*w^2 + 14*w - 9]', '[919, 919, 4*w^3 - 5*w^2 - 16*w + 8]', '[929, 929, 3*w^2 - w - 16]', '[929, 929, 3*w^2 - 5*w - 14]', '[941, 941, -w^3 - w^2 + 9*w + 7]', '[941, 941, -3*w^3 + 7*w^2 + 7*w - 15]', '[941, 941, 3*w^3 - 2*w^2 - 12*w - 4]', '[941, 941, w^3 + 4*w^2 - 13*w - 16]', '[961, 31, -2*w^2 + 2*w + 13]', '[961, 31, 5*w^2 - 5*w - 18]', '[971, 971, w^3 + 4*w^2 - 9*w - 19]', '[971, 971, w^3 - 7*w^2 + 2*w + 23]', '[991, 991, 3*w^3 - 7*w^2 - 7*w + 14]', '[991, 991, -3*w^3 + 2*w^2 + 12*w + 3]']}
82. label: 4.4.5225.1
    {'degree': 4, 'discriminant': 5225, 'ideals': ['[1, 1, 1]', '[4, 2, -1/2*w^3 + w^2 + 3*w - 7/2]', '[4, 2, w + 1]', '[11, 11, w]', '[11, 11, 1/2*w^3 - w^2 - 3*w + 5/2]', '[11, 11, -w + 2]', '[16, 2, 2]', '[16, 4, -1/2*w^3 + w^2 + w - 7/2]', '[16, 4, w^3 - 2*w^2 - 5*w + 6]', '[19, 19, -1/2*w^3 + 3*w + 3/2]', '[25, 5, -w^3 + 2*w^2 + 4*w - 4]', '[31, 31, w^3 - 2*w^2 - 5*w + 3]', '[31, 31, -1/2*w^3 + w^2 + w - 1/2]', '[44, 22, 1/2*w^3 - w^2 - 3*w + 11/2]', '[44, 22, -w - 3]', '[44, 22, -3/2*w^3 + 4*w^2 + 4*w - 19/2]', '[44, 22, -w^2 + w + 2]', '[44, 22, -w^3 + w^2 + 6*w]', '[44, 22, -w^3 + 3*w^2 + 3*w - 10]', '[59, 59, 1/2*w^3 - w^2 - 4*w + 15/2]', '[59, 59, 1/2*w^3 - w^2 - 4*w - 5/2]', '[61, 61, -2*w^3 + 5*w^2 + 8*w - 12]', '[61, 61, 1/2*w^3 - 2*w - 5/2]', '[64, 4, -w^3 + 2*w^2 + 6*w - 7]', '[64, 4, 2*w + 2]', '[64, 8, 1/2*w^3 - w^2 - w - 1/2]', '[64, 8, w^3 - 2*w^2 - 5*w + 2]', '[71, 71, -1/2*w^3 + 2*w^2 - 15/2]', '[71, 71, 3/2*w^3 - 4*w^2 - 5*w + 23/2]', '[76, 38, w^3 - 3*w^2 - 4*w + 6]', '[76, 38, 1/2*w^3 - 2*w^2 - 2*w + 17/2]', '[79, 79, -5/2*w^3 + 6*w^2 + 9*w - 31/2]', '[79, 79, -4*w^3 + 10*w^2 + 17*w - 28]', '[79, 79, -w^3 + w^2 + 4*w + 1]', '[79, 79, 5/2*w^3 - 6*w^2 - 9*w + 23/2]', '[81, 3, -3]', '[89, 89, 2*w^3 - 4*w^2 - 9*w + 6]', '[89, 89, -1/2*w^3 + w + 3/2]', '[100, 10, 5/2*w^3 - 7*w^2 - 9*w + 39/2]', '[100, 10, -2*w^2 + w + 7]', '[101, 101, 1/2*w^3 - 5*w - 9/2]', '[101, 101, -5/2*w^3 + 7*w^2 + 9*w - 37/2]', '[121, 11, 3/2*w^3 - 3*w^2 - 6*w + 11/2]', '[121, 11, 5/2*w^3 - 7*w^2 - 7*w + 33/2]', '[121, 11, 3/2*w^3 - 3*w^2 - 6*w + 13/2]', '[121, 11, 1/2*w^3 - 2*w^2 + 19/2]', '[121, 121, -3/2*w^3 + 3*w^2 + 5*w - 11/2]', '[121, 121, -2*w^3 + 4*w^2 + 9*w - 8]', '[124, 62, -w^2 + 2*w + 1]', '[124, 62, -2*w^3 + 4*w^2 + 9*w - 9]', '[124, 62, 3/2*w^3 - 3*w^2 - 5*w + 13/2]', '[124, 62, -1/2*w^3 + 2*w^2 - 17/2]', '[131, 131, 1/2*w^3 - 4*w - 1/2]', '[131, 131, -w^3 + 3*w^2 + 2*w - 9]', '[139, 139, -w^3 + 2*w^2 + 6*w - 6]', '[139, 139, -2*w - 1]', '[149, 149, w^2 - 6]', '[149, 149, -3/2*w^3 + 4*w^2 + 6*w - 17/2]', '[151, 151, w^3 - w^2 - 6*w + 1]', '[151, 151, 2*w - 1]', '[151, 151, -w^3 + 2*w^2 + 6*w - 4]', '[151, 151, 3/2*w^3 - 4*w^2 - 4*w + 21/2]', '[169, 13, 7/2*w^3 - 9*w^2 - 13*w + 43/2]', '[169, 13, -1/2*w^3 + 2*w^2 + 4*w - 3/2]', '[176, 22, 2*w]', '[176, 22, w^3 - 2*w^2 - 6*w + 5]', '[176, 22, -2*w + 4]', '[176, 44, -3/2*w^3 + 5*w^2 + 5*w - 33/2]', '[176, 44, w^3 - 4*w^2 - 3*w + 10]', '[176, 44, -1/2*w^3 + 2*w + 7/2]', '[176, 44, -w^3 + w^2 + 7*w + 1]', '[176, 44, 2*w^3 - 5*w^2 - 8*w + 11]', '[176, 44, -w^3 + 3*w^2 + w - 6]', '[179, 179, -1/2*w^3 + w^2 + 4*w - 7/2]', '[179, 179, -1/2*w^3 + w^2 + 4*w - 3/2]', '[181, 181, -1/2*w^3 + 3*w^2 + w - 17/2]', '[181, 181, -2*w^3 + 6*w^2 + 7*w - 18]', '[199, 199, 3/2*w^3 - 2*w^2 - 7*w + 1/2]', '[199, 199, -1/2*w^3 + 2*w^2 - w - 17/2]', '[199, 199, 5/2*w^3 - 6*w^2 - 9*w + 25/2]', '[199, 199, -3*w^3 + 8*w^2 + 11*w - 23]', '[209, 209, -1/2*w^3 + w^2 + 4*w - 5/2]', '[209, 209, 3/2*w^3 - 2*w^2 - 9*w - 3/2]', '[209, 209, 3/2*w^3 - 4*w^2 - 3*w + 11/2]', '[211, 211, -2*w^3 + 6*w^2 + 7*w - 16]', '[211, 211, -1/2*w^3 + 3*w^2 + w - 21/2]', '[211, 211, 1/2*w^3 - 4*w - 13/2]', '[211, 211, -w^3 + 3*w^2 + 2*w - 3]', '[236, 118, -w^2 + 7]', '[236, 118, 3/2*w^3 - 4*w^2 - 6*w + 15/2]', '[236, 118, w^2 - 3*w - 5]', '[236, 118, -w^2 + 3*w + 2]', '[239, 239, 3/2*w^3 - 2*w^2 - 9*w + 7/2]', '[239, 239, 5/2*w^3 - 5*w^2 - 11*w + 17/2]', '[241, 241, -2*w^3 + 4*w^2 + 10*w - 7]', '[241, 241, -2*w^3 + 3*w^2 + 10*w - 4]', '[241, 241, -w^3 + 2*w^2 + 2*w - 2]', '[241, 241, -5/2*w^3 + 6*w^2 + 8*w - 27/2]', '[244, 122, 13/2*w^3 - 17*w^2 - 25*w + 95/2]', '[244, 122, w^3 + 2*w^2 - 5*w - 8]', '[244, 122, 1/2*w^3 - 4*w + 1/2]', '[244, 122, w^3 - 3*w^2 - 2*w + 10]', '[251, 251, -1/2*w^3 + w^2 + w - 13/2]', '[251, 251, 5/2*w^3 - 5*w^2 - 11*w + 25/2]', '[251, 251, -2*w^3 + 4*w^2 + 7*w - 10]', '[251, 251, -w^3 + 2*w^2 + 5*w - 9]', '[256, 4, 4]', '[256, 8, -w^3 + 2*w^2 + 2*w - 7]', '[256, 8, 2*w^3 - 4*w^2 - 10*w + 12]', '[256, 16, 1/2*w^3 - 3*w^2 + w + 27/2]', '[256, 16, 2*w^3 - 5*w^2 - 6*w + 13]', '[269, 269, 1/2*w^3 - 3*w^2 + 13/2]', '[269, 269, -3/2*w^3 + 5*w^2 + 4*w - 35/2]', '[271, 271, -3/2*w^3 + 4*w^2 + 6*w - 13/2]', '[271, 271, -5/2*w^3 + 6*w^2 + 11*w - 29/2]', '[275, 55, w^3 - 4*w^2 - 3*w + 11]', '[275, 55, -3/2*w^3 + 5*w^2 + 5*w - 31/2]', '[275, 55, -3*w^3 + 8*w^2 + 11*w - 19]', '[281, 281, 7/2*w^3 - 10*w^2 - 11*w + 53/2]', '[281, 281, 1/2*w^3 - 5*w - 5/2]', '[281, 281, -1/2*w^3 - 2*w^2 + 5*w + 19/2]', '[281, 281, 3/2*w^3 - 5*w^2 - 5*w + 27/2]', '[284, 142, 5/2*w^3 - 6*w^2 - 10*w + 25/2]', '[284, 142, -11/2*w^3 + 14*w^2 + 22*w - 75/2]', '[284, 142, w^3 - 2*w^2 - 7*w - 2]', '[284, 142, -w^3 + 3*w^2 + 5*w - 5]', '[304, 38, -w^3 + 6*w + 3]', '[304, 76, 2*w^3 - 3*w^2 - 10*w + 3]', '[304, 76, -5/2*w^3 + 6*w^2 + 8*w - 25/2]', '[316, 158, w^3 - 5*w^2 - 4*w + 12]', '[316, 158, 8*w^3 - 21*w^2 - 31*w + 57]', '[316, 158, -w^3 + 5*w^2 - 16]', '[316, 158, -w^3 + w^2 + 3*w - 6]', '[316, 158, 2*w^3 - 5*w^2 - 7*w + 16]', '[316, 158, 1/2*w^3 - 3*w^2 + w + 15/2]', '[316, 158, -6*w^3 + 17*w^2 + 19*w - 43]', '[316, 158, -w^3 - 3*w^2 + 6*w + 12]', '[324, 6, 3/2*w^3 - 3*w^2 - 9*w + 21/2]', '[324, 6, -3*w - 3]', '[331, 331, 3/2*w^3 - 4*w^2 - 7*w + 17/2]', '[331, 331, 1/2*w^3 - 2*w^2 - 3*w + 17/2]', '[341, 341, 1/2*w^3 - 3*w^2 + 11/2]', '[341, 341, 3/2*w^3 - 2*w^2 - 6*w + 5/2]', '[341, 341, 3/2*w^3 - 5*w^2 - 4*w + 37/2]', '[341, 341, 1/2*w^3 - 4*w + 3/2]', '[341, 341, -w^3 + 3*w^2 + 2*w - 11]', '[341, 341, 3*w^3 - 7*w^2 - 12*w + 17]', '[349, 349, 1/2*w^3 + w^2 - 4*w - 9/2]', '[349, 349, 5/2*w^3 - 7*w^2 - 8*w + 39/2]', '[356, 178, -9/2*w^3 + 13*w^2 + 15*w - 75/2]', '[356, 178, 11/2*w^3 - 14*w^2 - 24*w + 91/2]', '[356, 178, 3*w^2 - 5*w - 16]', '[356, 178, -w^2 + 2*w + 9]', '[359, 359, 1/2*w^3 - w^2 - 3/2]', '[359, 359, 3/2*w^3 - 3*w^2 - 8*w + 7/2]', '[361, 19, -1/2*w^3 + w^2 + 2*w - 13/2]', '[361, 19, 2*w^3 - 4*w^2 - 8*w + 9]', '[379, 379, 5/2*w^3 - 4*w^2 - 12*w + 15/2]', '[379, 379, -3*w^3 + 7*w^2 + 10*w - 17]', '[389, 389, -7/2*w^3 + 9*w^2 + 13*w - 51/2]', '[389, 389, w^3 - 5*w - 1]', '[389, 389, -9/2*w^3 + 11*w^2 + 18*w - 59/2]', '[389, 389, -7/2*w^3 + 8*w^2 + 13*w - 43/2]', '[400, 10, -2*w^3 + 4*w^2 + 8*w - 8]', '[400, 20, 1/2*w^3 + w^2 - 3*w - 5/2]', '[400, 20, -3*w^3 + 8*w^2 + 11*w - 24]', '[401, 401, -1/2*w^3 + 3*w^2 + 4*w - 9/2]', '[401, 401, 1/2*w^3 + 3*w^2 - 4*w - 23/2]', '[404, 202, w^2 - w - 9]', '[404, 202, -1/2*w^3 - 2*w^2 + 2*w + 7/2]', '[404, 202, -3*w^3 + 6*w^2 + 15*w - 16]', '[404, 202, 2*w^3 - 4*w^2 - 7*w + 9]', '[421, 421, -7/2*w^3 + 9*w^2 + 16*w - 61/2]', '[421, 421, 1/2*w^3 - 4*w^2 + w + 35/2]', '[449, 449, -7/2*w^3 + 8*w^2 + 17*w - 47/2]', '[449, 449, 3*w^3 - 7*w^2 - 14*w + 17]', '[461, 461, -5/2*w^3 + 5*w^2 + 11*w - 21/2]', '[461, 461, 2*w^3 - 4*w^2 - 7*w + 8]', '[475, 95, 1/2*w^3 - 2*w^2 + w + 21/2]', '[479, 479, 3/2*w^3 - 2*w^2 - 10*w + 9/2]', '[479, 479, 5/2*w^3 - 5*w^2 - 12*w + 17/2]', '[484, 22, 1/2*w^3 - w^2 + w + 7/2]', '[484, 22, -7/2*w^3 + 10*w^2 + 12*w - 55/2]', '[484, 22, 1/2*w^3 - 2*w - 11/2]', '[484, 22, -4*w^3 + 11*w^2 + 15*w - 31]', '[484, 22, 3*w^2 - 2*w - 11]', '[484, 22, -2*w^3 + 4*w^2 + 11*w - 11]', '[484, 22, 3*w^2 - w - 10]', '[484, 22, 2*w^3 - 5*w^2 - 8*w + 9]', '[484, 242, -2*w^2 + w + 11]', '[484, 242, 3*w^3 - 9*w^2 - 9*w + 22]', '[484, 242, -3*w^2 + 3*w + 14]', '[484, 242, -5/2*w^3 + 7*w^2 + 9*w - 31/2]', '[491, 491, 2*w^2 - 2*w - 5]', '[491, 491, 2*w^3 - 6*w^2 - 6*w + 19]', '[496, 62, 2*w^3 - 4*w^2 - 10*w + 6]', '[496, 62, -w^3 + 2*w^2 + 2*w - 1]', '[496, 124, -w^3 + w^2 + 3*w + 1]', '[496, 124, w^3 - 2*w^2 - 7*w + 8]', '[496, 124, -1/2*w^3 + w^2 + 5*w + 1/2]', '[496, 124, 3*w^3 - 7*w^2 - 13*w + 16]', '[509, 509, 3/2*w^3 - 4*w^2 - 4*w + 25/2]', '[509, 509, w^3 - w^2 - 6*w + 3]', '[521, 521, 3/2*w^3 - 3*w^2 - 8*w + 5/2]', '[521, 521, 3*w^3 - 8*w^2 - 12*w + 20]', '[524, 262, -3/2*w^3 + 4*w^2 + 8*w - 35/2]', '[524, 262, w^3 - 5*w - 6]', '[524, 262, 7/2*w^3 - 9*w^2 - 13*w + 41/2]', '[524, 262, w^3 - 3*w^2 - 6*w + 2]', '[529, 23, 3/2*w^3 - 2*w^2 - 8*w + 9/2]', '[529, 23, -2*w^3 + 5*w^2 + 6*w - 14]', '[541, 541, w^3 - w^2 - 4*w - 3]', '[541, 541, 5/2*w^3 - 6*w^2 - 10*w + 23/2]', '[556, 278, w + 5]', '[556, 278, -w^3 + w^2 + w - 6]', '[556, 278, 1/2*w^3 - w^2 - 3*w + 15/2]', '[556, 278, 4*w^3 - 9*w^2 - 19*w + 28]', '[569, 569, 1/2*w^3 - w - 7/2]', '[569, 569, 7/2*w^3 - 7*w^2 - 16*w + 27/2]', '[569, 569, 5/2*w^3 - 6*w^2 - 11*w + 27/2]', '[569, 569, -5/2*w^3 + 5*w^2 + 8*w - 17/2]', '[571, 571, 3/2*w^3 - 3*w^2 - 8*w + 3/2]', '[571, 571, 7/2*w^3 - 9*w^2 - 14*w + 45/2]', '[589, 589, -3/2*w^3 + 3*w^2 + 9*w - 19/2]', '[589, 589, 3*w + 2]', '[596, 298, 5/2*w^3 - 5*w^2 - 13*w + 31/2]', '[596, 298, 9/2*w^3 - 12*w^2 - 16*w + 65/2]', '[596, 298, w^3 + w^2 - 6*w - 6]', '[596, 298, w^3 - 2*w^2 - w + 8]', '[599, 599, -7/2*w^3 + 10*w^2 + 13*w - 53/2]', '[599, 599, -1/2*w^3 + 4*w^2 + w - 29/2]', '[604, 302, w^3 + w^2 - 6*w - 10]', '[604, 302, -5/2*w^3 + 7*w^2 + 11*w - 51/2]', '[604, 302, 2*w^2 + w - 1]', '[604, 302, 3*w + 7]', '[604, 302, 3/2*w^3 - 3*w^2 - 9*w + 29/2]', '[604, 302, 7/2*w^3 - 9*w^2 - 15*w + 61/2]', '[604, 302, -9/2*w^3 + 12*w^2 + 16*w - 57/2]', '[604, 302, -w^3 + 4*w^2 + 5*w - 6]', '[619, 619, -3/2*w^3 + 6*w^2 + 3*w - 31/2]', '[619, 619, -3/2*w^3 + 4*w^2 + 7*w - 9/2]', '[619, 619, 1/2*w^3 - 2*w^2 - 3*w + 25/2]', '[619, 619, -3/2*w^3 + 6*w^2 + 3*w - 41/2]', '[625, 5, 5]', '[641, 641, -3/2*w^3 + 5*w^2 + 6*w - 39/2]', '[641, 641, -7/2*w^3 + 8*w^2 + 17*w - 45/2]', '[649, 649, 5*w^3 - 14*w^2 - 15*w + 29]', '[649, 649, -1/2*w^3 + 7*w - 11/2]', '[649, 649, 3/2*w^3 - 2*w^2 - 5*w + 1/2]', '[649, 649, 7/2*w^3 - 8*w^2 - 15*w + 35/2]', '[649, 649, -1/2*w^3 + 7*w + 15/2]', '[649, 649, 3/2*w^3 + w^2 - 11*w - 33/2]', '[661, 661, 5/2*w^3 - 7*w^2 - 8*w + 41/2]', '[661, 661, -w^3 + 4*w^2 - 14]', '[671, 671, -9/2*w^3 + 12*w^2 + 17*w - 71/2]', '[671, 671, -7*w^3 + 18*w^2 + 26*w - 46]', '[671, 671, -w^3 + 6*w + 2]', '[671, 671, 1/2*w^3 - 2*w^2 - w + 1/2]', '[671, 671, 3*w^3 - 8*w^2 - 10*w + 22]', '[671, 671, 1/2*w^3 + 2*w^2 - 3*w - 11/2]', '[676, 26, -1/2*w^3 + 2*w^2 + 2*w - 1/2]', '[676, 26, 3/2*w^3 - 4*w^2 - 4*w + 27/2]', '[676, 26, -2*w^3 + 6*w^2 + 5*w - 17]', '[676, 26, 4*w^3 - 9*w^2 - 17*w + 24]', '[701, 701, -1/2*w^3 + 3*w^2 + 5*w - 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14*w^2 - 16*w + 36]', '[751, 751, w^3 + 2*w^2 - 8*w - 12]', '[761, 761, 1/2*w^3 - 2*w^2 + 2*w + 15/2]', '[761, 761, w^3 - w^2 - 8*w + 3]', '[769, 769, -1/2*w^3 + 4*w^2 - w - 29/2]', '[769, 769, -5/2*w^3 + 8*w^2 + 7*w - 43/2]', '[775, 155, 2*w^2 - w - 12]', '[775, 155, -5/2*w^3 + 7*w^2 + 9*w - 29/2]', '[781, 781, -5/2*w^3 + 8*w^2 + 7*w - 41/2]', '[781, 781, 11/2*w^3 - 15*w^2 - 20*w + 79/2]', '[781, 781, -2*w^3 + 4*w^2 + 10*w - 5]', '[781, 781, 4*w^3 - 10*w^2 - 17*w + 26]', '[781, 781, 3/2*w^3 - 4*w^2 - 7*w + 11/2]', '[781, 781, -5/2*w^3 + 7*w^2 + 10*w - 33/2]', '[796, 398, -2*w^3 + 7*w^2 + 5*w - 21]', '[796, 398, -w^3 + 5*w^2 + w - 15]', '[796, 398, 5/2*w^3 - 6*w^2 - 10*w + 21/2]', '[796, 398, w^3 + 3*w^2 - 8*w - 16]', '[796, 398, -13/2*w^3 + 18*w^2 + 22*w - 93/2]', '[796, 398, w^3 - 3*w^2 - 9*w - 3]', '[796, 398, w^2 + 3*w - 1]', '[796, 398, 2*w^3 - 5*w^2 - 9*w + 10]', '[809, 809, 1/2*w^3 - w^2 - 3*w - 7/2]', '[809, 809, w - 6]', '[811, 811, -5*w^3 + 12*w^2 + 24*w - 38]', '[811, 811, -2*w^3 + 6*w^2 + 6*w - 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9/2]', '[1871, 1871, 3/2*w^3 - 3*w^2 - 4*w - 1/2]', '[1871, 1871, -3*w^3 + 10*w^2 + 10*w - 34]', '[1871, 1871, -9/2*w^3 + 12*w^2 + 20*w - 79/2]', '[1889, 1889, -1/2*w^3 + 9*w + 21/2]', '[1889, 1889, w^3 - 5*w^2 - 6*w + 7]', '[1889, 1889, -4*w^3 + 10*w^2 + 18*w - 35]', '[1889, 1889, -7/2*w^3 + 10*w^2 + 12*w - 69/2]', '[1891, 1891, -11/2*w^3 + 14*w^2 + 19*w - 65/2]', '[1891, 1891, -2*w^3 + 6*w^2 + 8*w - 25]', '[1891, 1891, w^3 - 4*w^2 - 4*w + 4]', '[1891, 1891, -5/2*w^3 + 2*w^2 + 13*w + 7/2]', '[1900, 190, w^3 - w^2 - 2*w - 2]', '[1900, 190, -7/2*w^3 + 8*w^2 + 16*w - 35/2]', '[1901, 1901, -4*w^3 + 12*w^2 + 11*w - 32]', '[1901, 1901, 5/2*w^3 - 6*w^2 - 8*w + 39/2]', '[1901, 1901, 2*w^3 - 3*w^2 - 10*w + 10]', '[1901, 1901, 1/2*w^3 + 3*w^2 - 7*w - 27/2]', '[1916, 958, -11/2*w^3 + 14*w^2 + 26*w - 103/2]', '[1916, 958, -13/2*w^3 + 18*w^2 + 24*w - 109/2]', '[1916, 958, w^3 - 7*w - 12]', '[1916, 958, 3*w^2 - 6*w - 19]', '[1919, 1919, -5/2*w^3 + 6*w^2 + 11*w - 21/2]', '[1919, 1919, 3*w^3 - 8*w^2 - 13*w + 19]', '[1931, 1931, -3*w^3 + 10*w^2 + 12*w - 24]', '[1931, 1931, 15/2*w^3 - 19*w^2 - 29*w + 95/2]', '[1931, 1931, -5/2*w^3 + 4*w^2 + 9*w - 13/2]', '[1931, 1931, -5/2*w^3 + 5*w^2 + 6*w - 27/2]', '[1936, 22, 3*w^3 - 6*w^2 - 12*w + 11]', '[1936, 22, 5*w^3 - 14*w^2 - 14*w + 33]', '[1936, 22, 3*w^3 - 6*w^2 - 12*w + 13]', '[1936, 22, w^3 - 4*w^2 + 19]', '[1936, 44, -1/2*w^3 + 2*w^2 + 3/2]', '[1936, 44, -1/2*w^3 - 2*w^2 + 4*w + 11/2]', '[1936, 44, 2*w^3 - 7*w^2 - 5*w + 11]', '[1936, 44, 3/2*w^3 - 4*w^2 - 2*w + 27/2]', '[1936, 44, -w^2 + 2*w + 11]', '[1936, 44, -w^3 + 5*w^2 + w - 25]', '[1936, 44, 4*w^3 - 11*w^2 - 14*w + 33]', '[1936, 44, -2*w^3 + 3*w^2 + 12*w - 9]', '[1936, 242, -3*w^3 + 6*w^2 + 10*w - 11]', '[1936, 242, -4*w^3 + 8*w^2 + 18*w - 16]', '[1936, 484, -3*w^3 + 8*w^2 + 9*w - 22]', '[1936, 484, w^2 - w - 11]', '[1936, 484, w^3 - 3*w^2 - 3*w + 1]', '[1936, 484, 3/2*w^3 - w^2 - 9*w + 1/2]', '[1949, 1949, -1/2*w^3 + w^2 - 2*w - 7/2]', '[1949, 1949, 5/2*w^3 - 8*w^2 - 9*w + 29/2]', '[1951, 1951, -6*w^3 + 15*w^2 + 22*w - 38]', '[1951, 1951, 9/2*w^3 - 11*w^2 - 16*w + 49/2]', '[1964, 982, 2*w^3 - 7*w - 5]', '[1964, 982, 1/2*w^3 - w^2 + w - 9/2]', '[1964, 982, -2*w^3 + 4*w^2 + 11*w - 3]', '[1964, 982, -17/2*w^3 + 21*w^2 + 35*w - 111/2]', '[1969, 1969, -3/2*w^3 + 2*w^2 + 9*w - 17/2]', '[1969, 1969, 1/2*w^3 - 3*w + 11/2]', '[1969, 1969, -5/2*w^3 + 6*w^2 + 11*w - 45/2]', '[1969, 1969, -3/2*w^3 + 2*w^2 + 11*w - 25/2]', '[1969, 1969, 1/2*w^3 - w + 11/2]', '[1969, 1969, -3/2*w^3 + 4*w^2 + 5*w - 35/2]', '[1975, 395, 3/2*w^3 - 2*w^2 - 9*w + 25/2]', '[1975, 395, 7*w^3 - 18*w^2 - 31*w + 57]', '[1975, 395, -2*w^3 + 5*w^2 + 10*w - 4]', '[1975, 395, 5/2*w^3 - 6*w^2 - 7*w + 7/2]', '[1979, 1979, -3/2*w^3 + 4*w^2 + 9*w - 9/2]', '[1979, 1979, 5/2*w^3 - 3*w^2 - 12*w + 3/2]', '[1979, 1979, -9/2*w^3 + 11*w^2 + 16*w - 51/2]', '[1979, 1979, 3/2*w^3 - 4*w^2 - 9*w + 35/2]', '[1984, 124, -2*w^2 + 4*w + 2]', '[1984, 124, -4*w^3 + 8*w^2 + 18*w - 18]', '[1984, 124, 3*w^3 - 6*w^2 - 10*w + 13]', '[1984, 124, -w^3 + 4*w^2 - 17]', '[1984, 248, -3*w^3 + 4*w^2 + 15*w - 4]', '[1984, 248, -w^2 - 3]', '[1984, 248, 3/2*w^3 - 4*w^2 - 6*w + 35/2]', '[1984, 248, 9/2*w^3 - 11*w^2 - 15*w + 51/2]', '[1991, 1991, 4*w^3 - 9*w^2 - 16*w + 22]', '[1991, 1991, 5/2*w^3 - 3*w^2 - 8*w + 11/2]', '[1991, 1991, -5/2*w^3 + 3*w^2 + 14*w - 7/2]', '[1991, 1991, -7/2*w^3 + 9*w^2 + 10*w - 45/2]', '[1991, 1991, 1/2*w^3 - 4*w^2 + w + 17/2]', '[1991, 1991, -5/2*w^3 + 4*w^2 + 10*w - 15/2]', '[1999, 1999, 4*w^3 - 7*w^2 - 20*w + 8]', '[1999, 1999, 7/2*w^3 - 8*w^2 - 10*w + 25/2]', '[2025, 15, 3*w^3 - 6*w^2 - 12*w + 12]', '[2029, 2029, w^2 - 12]', '[2029, 2029, 3/2*w^3 - 4*w^2 - 6*w + 5/2]', '[2036, 1018, -11/2*w^3 + 14*w^2 + 22*w - 71/2]', '[2036, 1018, -7/2*w^3 + 9*w^2 + 17*w - 65/2]', '[2036, 1018, -w^3 + 4*w^2 + 7*w - 4]', '[2036, 1018, w^3 + w^2 - 4*w - 8]', '[2084, 1042, w^2 - 7*w - 14]', '[2084, 1042, -3*w^3 + 9*w^2 + 9*w - 28]', '[2084, 1042, -21/2*w^3 + 27*w^2 + 41*w - 151/2]', '[2084, 1042, -2*w^3 + 4*w^2 + 5*w - 13]', '[2089, 2089, 1/2*w^3 + 2*w^2 - 7*w - 17/2]', '[2089, 2089, 5/2*w^3 - 8*w^2 - 5*w + 45/2]', '[2089, 2089, 13/2*w^3 - 17*w^2 - 24*w + 83/2]', '[2089, 2089, w^3 - 4*w^2 - 8*w + 4]', '[2096, 262, w^3 - 8*w - 1]', '[2096, 262, -2*w^3 + 6*w^2 + 4*w - 18]', '[2096, 524, -5/2*w^3 + 4*w^2 + 10*w - 13/2]', '[2096, 524, 3*w^3 - 8*w^2 - 13*w + 30]', '[2096, 524, -1/2*w^3 + 3*w^2 + 3*w - 3/2]', '[2096, 524, -4*w^3 + 9*w^2 + 16*w - 21]', '[2099, 2099, -3/2*w^3 + 2*w^2 + 11*w - 13/2]', '[2099, 2099, w^3 - 2*w^2 - w - 1]', '[2099, 2099, 9/2*w^3 - 9*w^2 - 22*w + 35/2]', '[2099, 2099, 5/2*w^3 - 5*w^2 - 13*w + 13/2]', '[2111, 2111, -4*w^3 + 12*w^2 + 14*w - 37]', '[2111, 2111, 4*w^3 - 8*w^2 - 19*w + 14]', '[2111, 2111, 5/2*w^3 - 8*w^2 - 3*w + 45/2]', '[2111, 2111, -3/2*w^3 + 13*w + 7/2]', '[2116, 46, -9/2*w^3 + 12*w^2 + 20*w - 81/2]', '[2116, 46, 13/2*w^3 - 17*w^2 - 25*w + 87/2]', '[2116, 46, w^3 - 5*w^2 - 6*w + 8]', '[2116, 46, w^3 + 2*w^2 - 5*w - 12]', '[2129, 2129, -9/2*w^3 + 14*w^2 + 13*w - 83/2]', '[2129, 2129, -19/2*w^3 + 24*w^2 + 37*w - 127/2]', '[2141, 2141, 5/2*w^3 - 3*w^2 - 12*w + 13/2]', '[2141, 2141, -7/2*w^3 + 11*w^2 + 10*w - 59/2]', '[2141, 2141, -1/2*w^3 + 2*w^2 - 3*w - 27/2]', '[2141, 2141, -1/2*w^3 + 5*w^2 - 2*w - 37/2]', '[2161, 2161, -3/2*w^3 + 5*w^2 + 7*w - 39/2]', '[2161, 2161, -2*w^3 + 6*w^2 + 9*w - 12]', '[2164, 1082, w^3 + 3*w^2 - 8*w - 14]', '[2164, 1082, 1/2*w^3 + w^2 - 7*w - 1/2]', '[2164, 1082, -13/2*w^3 + 18*w^2 + 22*w - 97/2]', '[2164, 1082, -w^3 + 4*w^2 - w - 16]', '[2179, 2179, -2*w^3 + 5*w^2 + 10*w - 8]', '[2179, 2179, -1/2*w^3 + 2*w^2 + 4*w - 23/2]', '[2189, 2189, 5*w^3 - 13*w^2 - 20*w + 33]', '[2189, 2189, -5/2*w^3 + 9*w^2 + 6*w - 45/2]', '[2189, 2189, 4*w^3 - 12*w^2 - 13*w + 34]', '[2189, 2189, 3/2*w^3 - 4*w^2 - w + 15/2]', '[2189, 2189, 3/2*w^3 - 5*w^2 - 8*w + 11/2]', '[2189, 2189, 7/2*w^3 - 9*w^2 - 13*w + 35/2]', '[2189, 2189, -1/2*w^3 + 5*w^2 - w - 33/2]', '[2189, 2189, -2*w^3 + 4*w^2 + 11*w - 2]', '[2189, 2189, 17/2*w^3 - 23*w^2 - 28*w + 105/2]', '[2189, 2189, -5/2*w^3 + 5*w^2 + 14*w - 23/2]', '[2189, 2189, 1/2*w^3 - 5*w^2 + 2*w + 41/2]', '[2189, 2189, -7/2*w^3 + 11*w^2 + 10*w - 55/2]', '[2201, 2201, 4*w^3 - 12*w^2 - 13*w + 30]', '[2201, 2201, -3/2*w^3 + 13*w + 21/2]', '[2201, 2201, 5/2*w^3 - 5*w^2 - 14*w + 25/2]', '[2201, 2201, -2*w^3 + 8*w^2 + 4*w - 21]', '[2209, 47, 1/2*w^3 - 2*w^2 - 3*w - 3/2]', '[2209, 47, -9/2*w^3 + 10*w^2 + 18*w - 39/2]', '[2221, 2221, -4*w^3 + 12*w^2 + 15*w - 38]', '[2221, 2221, 11/2*w^3 - 13*w^2 - 24*w + 65/2]', '[2224, 278, -2*w^3 + 4*w^2 + 12*w - 12]', '[2224, 278, 4*w + 2]', '[2224, 556, w^2 + 6*w + 5]', '[2224, 556, w^3 - w^2 - 3*w - 4]', '[2224, 556, -9/2*w^3 + 10*w^2 + 24*w - 69/2]', '[2224, 556, 3*w^3 - 7*w^2 - 13*w + 13]', '[2225, 445, w^3 - 5*w - 13]', '[2225, 445, 7/2*w^3 - 11*w^2 - 12*w + 71/2]', '[2239, 2239, -13/2*w^3 + 15*w^2 + 31*w - 89/2]', '[2239, 2239, 17/2*w^3 - 22*w^2 - 32*w + 111/2]', '[2251, 2251, -1/2*w^3 + 6*w^2 - 3*w - 41/2]', '[2251, 2251, -9/2*w^3 + 14*w^2 + 13*w - 79/2]', '[2269, 2269, 1/2*w^3 - 3*w - 19/2]', '[2269, 2269, -3*w^3 + 6*w^2 + 11*w - 13]', '[2276, 1138, w^3 + 3*w^2 - 5*w - 9]', '[2276, 1138, 3/2*w^3 - 2*w^2 - 10*w + 19/2]', '[2276, 1138, 5*w^2 - 6*w - 25]', '[2276, 1138, -w^3 + 3*w^2 - 14]', '[2276, 1138, -19/2*w^3 + 26*w^2 + 36*w - 155/2]', '[2276, 1138, -8*w^3 + 21*w^2 + 31*w - 61]', '[2276, 1138, 9/2*w^3 - 14*w^2 - 12*w + 65/2]', '[2276, 1138, -7*w^2 + 2*w + 19]', '[2284, 1142, -6*w^3 + 14*w^2 + 25*w - 35]', '[2284, 1142, -5/2*w^3 + 8*w^2 + 6*w - 49/2]', '[2284, 1142, -12*w^3 + 31*w^2 + 47*w - 87]', '[2284, 1142, -2*w^3 + 5*w^2 + 5*w - 16]', '[2299, 209, -3*w^3 + 6*w^2 + 11*w - 11]', '[2299, 209, 3/2*w^3 + w^2 - 11*w - 21/2]', '[2299, 209, -2*w^2 + 5*w]', '[2299, 209, 7/2*w^3 - 7*w^2 - 15*w + 27/2]', '[2299, 2299, 1/2*w^3 - 5*w^2 + 4*w + 53/2]', '[2299, 2299, -5/2*w^3 + 9*w^2 + 4*w - 33/2]', '[2309, 2309, -w^3 + 4*w^2 + 6*w - 2]', '[2309, 2309, w^3 - 2*w^2 - 8*w + 2]', '[2309, 2309, -7/2*w^3 + 8*w^2 + 11*w - 43/2]', '[2309, 2309, -w^3 + 2*w^2 + 8*w - 8]', '[2311, 2311, 5/2*w^3 - 7*w^2 - 10*w + 27/2]', '[2311, 2311, -1/2*w^3 + 3*w^2 + 2*w - 31/2]', '[2321, 2321, -7/2*w^3 + 9*w^2 + 12*w - 53/2]', '[2321, 2321, -4*w^3 + 12*w^2 + 6*w - 17]', '[2321, 2321, -11/2*w^3 + 13*w^2 + 22*w - 69/2]', '[2321, 2321, 5/2*w^3 - 3*w^2 - 10*w + 11/2]', '[2321, 2321, 2*w^3 - 6*w^2 - 2*w + 11]', '[2321, 2321, -8*w^3 + 21*w^2 + 28*w - 54]', '[2321, 2321, 4*w^3 - 9*w^2 - 14*w + 22]', '[2321, 2321, -2*w^3 + 2*w^2 + 14*w + 3]', '[2321, 2321, -7/2*w^3 + 6*w^2 + 16*w - 25/2]', '[2321, 2321, 1/2*w^3 - w - 15/2]', '[2321, 2321, 1/2*w^3 - 7*w + 7/2]', '[2321, 2321, 1/2*w^3 - 7*w - 11/2]', '[2339, 2339, 2*w^3 - w^2 - 14*w - 4]', '[2339, 2339, 8*w^3 - 19*w^2 - 34*w + 52]', '[2339, 2339, 9/2*w^3 - 13*w^2 - 16*w + 61/2]', '[2339, 2339, -1/2*w^3 + 5*w^2 - 45/2]', '[2341, 2341, 7*w^3 - 16*w^2 - 33*w + 49]', '[2341, 2341, -1/2*w^3 - 4*w^2 + 5*w + 27/2]', '[2341, 2341, 9*w^3 - 22*w^2 - 37*w + 59]', '[2341, 2341, 17/2*w^3 - 22*w^2 - 33*w + 125/2]', '[2351, 2351, -4*w^3 + 11*w^2 + 10*w - 26]', '[2351, 2351, -1/2*w^3 + 5*w^2 - 31/2]', '[2351, 2351, 9/2*w^3 - 13*w^2 - 16*w + 75/2]', '[2351, 2351, -5/2*w^3 + 8*w^2 + 7*w - 59/2]', '[2356, 1178, w + 7]', '[2356, 1178, 1/2*w^3 + 3*w^2 - 5*w - 21/2]', '[2356, 1178, -5*w^3 + 14*w^2 + 17*w - 40]', '[2356, 1178, 1/2*w^3 - w^2 - 3*w + 19/2]', '[2371, 2371, 3/2*w^3 - 4*w^2 - 9*w + 7/2]', '[2371, 2371, -1/2*w^3 + 2*w^2 - 27/2]', '[2371, 2371, 3/2*w^3 - 4*w^2 - 9*w + 37/2]', '[2371, 2371, -w^2 + 2*w - 4]', '[2381, 2381, 2*w^3 - 8*w^2 - 7*w + 20]', '[2381, 2381, 3/2*w^3 - 5*w^2 - 8*w + 17/2]', '[2381, 2381, 7/2*w^3 - 11*w^2 - 13*w + 71/2]', '[2381, 2381, -9/2*w^3 + 11*w^2 + 18*w - 49/2]', '[2384, 298, 2*w^2 - 12]', '[2384, 298, -3*w^3 + 8*w^2 + 12*w - 17]', '[2384, 596, 1/2*w^3 - 5*w^2 - w + 31/2]', '[2384, 596, -1/2*w^3 - 2*w - 1/2]', '[2384, 596, -4*w^3 + 9*w^2 + 20*w - 25]', '[2384, 596, -5*w^3 + 14*w^2 + 19*w - 40]', '[2396, 1198, 3*w^3 - 5*w^2 - 10*w + 12]', '[2396, 1198, 13*w^3 - 33*w^2 - 51*w + 90]', '[2396, 1198, 11/2*w^3 - 12*w^2 - 24*w + 63/2]', '[2396, 1198, 3*w^3 + w^2 - 13*w - 9]', '[2399, 2399, 3/2*w^3 - 3*w^2 - 2*w + 23/2]', '[2399, 2399, -5/2*w^3 + 7*w^2 + 6*w - 39/2]', '[2399, 2399, 3/2*w^3 - w^2 - 10*w + 1/2]', '[2399, 2399, -7/2*w^3 + 7*w^2 + 18*w - 43/2]', '[2401, 7, -7]', '[2411, 2411, -1/2*w^3 + 3*w^2 - 3/2]', '[2411, 2411, 3/2*w^3 - 5*w^2 - 4*w + 45/2]', '[2416, 302, 2*w^3 - 2*w^2 - 12*w + 2]', '[2416, 302, 4*w - 2]', '[2416, 302, -2*w^3 + 4*w^2 + 12*w - 8]', '[2416, 302, 3*w^3 - 8*w^2 - 8*w + 21]', '[2416, 604, 4*w^3 - 11*w^2 - 16*w + 39]', '[2416, 604, -5/2*w^3 + 3*w^2 + 11*w - 7/2]', '[2416, 604, -3*w^3 + 8*w^2 + 15*w - 28]', '[2416, 604, -5*w^3 + 14*w^2 + 21*w - 46]', '[2416, 604, 3/2*w^3 - 7*w^2 - 7*w + 29/2]', '[2416, 604, 3/2*w^3 - 5*w^2 - 9*w + 17/2]', '[2416, 604, 1/2*w^3 - 4*w^2 - 2*w + 9/2]', '[2416, 604, 5*w^3 - 12*w^2 - 19*w + 30]', '[2441, 2441, -5/2*w^3 + 6*w^2 + 11*w - 15/2]', '[2441, 2441, 9/2*w^3 - 11*w^2 - 19*w + 53/2]', '[2449, 2449, -13/2*w^3 + 19*w^2 + 22*w - 89/2]', '[2449, 2449, 3*w^3 - 2*w^2 - 16*w - 8]', '[2449, 2449, 17/2*w^3 - 23*w^2 - 26*w + 93/2]', '[2449, 2449, 2*w^3 - 2*w^2 - 9*w + 8]', '[2449, 2449, -5/2*w^3 + 8*w^2 + 9*w - 23/2]', '[2449, 2449, -3/2*w^3 + 4*w^2 + 4*w - 37/2]', '[2449, 2449, -5/2*w^3 + 7*w^2 + 13*w - 49/2]', '[2449, 2449, -3/2*w^3 + w^2 + 7*w + 25/2]', '[2476, 1238, 3*w^3 - 3*w^2 - 11*w + 1]', '[2476, 1238, w^3 - w^2 + 4*w + 12]', '[2476, 1238, -w^3 - w^2 + 9*w + 7]', '[2476, 1238, 11/2*w^3 - 14*w^2 - 18*w + 59/2]', '[2476, 1238, 3*w^3 - 9*w^2 - 7*w + 24]', '[2476, 1238, 3*w^3 - 3*w^2 - 16*w - 4]', '[2476, 1238, -13/2*w^3 + 14*w^2 + 34*w - 93/2]', '[2476, 1238, 8*w^3 - 19*w^2 - 33*w + 47]', '[2489, 2489, 1/2*w^3 + w^2 - 6*w - 29/2]', '[2489, 2489, 5/2*w^3 - 2*w^2 - 12*w - 5/2]', '[2500, 10, -5/2*w^3 + 5*w^2 + 15*w - 35/2]', '[2500, 10, 5*w + 5]', '[2511, 93, -3*w^3 + 6*w^2 + 15*w - 9]', '[2511, 93, 3/2*w^3 - 3*w^2 - 3*w + 3/2]', '[2525, 505, 1/2*w^3 + 4*w^2 - 7*w - 41/2]', '[2525, 505, 3/2*w^3 - 3*w^2 - 11*w + 27/2]', '[2539, 2539, -5/2*w^3 + 6*w^2 + 11*w - 17/2]', '[2539, 2539, 4*w^3 - 10*w^2 - 17*w + 24]', '[2551, 2551, 1/2*w^3 - w^2 + w - 19/2]', '[2551, 2551, -7/2*w^3 + 5*w^2 + 19*w - 15/2]', '[2564, 1282, 2*w^3 - w^2 - 12*w - 3]', '[2564, 1282, -8*w^3 + 20*w^2 + 31*w - 53]', '[2564, 1282, -5/2*w^3 + w^2 + 11*w + 5/2]', '[2564, 1282, -9/2*w^3 + 12*w^2 + 14*w - 61/2]', '[2579, 2579, -5/2*w^3 + 8*w^2 + 10*w - 35/2]', '[2579, 2579, 7/2*w^3 - 7*w^2 - 17*w + 23/2]', '[2591, 2591, -3/2*w^3 + 8*w^2 - 69/2]', '[2591, 2591, 7/2*w^3 - 8*w^2 - 9*w + 39/2]', '[2596, 1298, -3*w^2 + 5*w + 9]', '[2596, 1298, 11/2*w^3 - 12*w^2 - 24*w + 55/2]', '[2596, 1298, -w^3 + 5*w^2 - w - 10]', '[2596, 1298, w^3 - 5*w^2 + 4*w + 4]', '[2596, 1298, -w^3 + 3*w^2 + 5*w - 17]', '[2596, 1298, -w^3 + 3*w^2 + 2*w]', '[2596, 1298, 2*w^3 - 15*w - 19]', '[2596, 1298, 9/2*w^3 - 13*w^2 - 11*w + 43/2]', '[2596, 1298, -1/2*w^3 + 4*w + 19/2]', '[2596, 1298, 3*w^3 - 5*w^2 - 10*w + 8]', '[2596, 1298, w^3 - 3*w^2 - 5*w]', '[2596, 1298, 2*w^3 - 7*w^2 - 3*w + 22]', '[2609, 2609, 7/2*w^3 - 10*w^2 - 11*w + 59/2]', '[2609, 2609, -3/2*w^3 + 6*w^2 - 41/2]', '[2621, 2621, 5*w^3 - 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w - 39/2]', '[5381, 5381, 9/2*w^3 - 11*w^2 - 15*w + 61/2]', '[5381, 5381, -3/2*w^3 + 6*w^2 + w - 49/2]', '[5396, 2698, -5*w + 3]', '[5396, 2698, 6*w^3 - 17*w^2 - 23*w + 51]', '[5396, 2698, -w^3 + 7*w^2 - w - 28]', '[5396, 2698, w^3 - 3*w^2 + 2*w + 10]', '[5399, 5399, -3/2*w^3 + 5*w^2 + 4*w - 9/2]', '[5399, 5399, -1/2*w^3 + 3*w^2 - 39/2]', '[5401, 5401, 8*w^3 - 22*w^2 - 29*w + 60]', '[5401, 5401, 2*w^3 - 2*w^2 - 5*w]', '[5401, 5401, -4*w^3 + 10*w^2 + 17*w - 22]', '[5401, 5401, -1/2*w^3 - w^2 + w + 19/2]', '[5401, 5401, 13/2*w^3 - 15*w^2 - 29*w + 73/2]', '[5401, 5401, -2*w^3 + 6*w^2 + w - 10]', '[5419, 5419, 9/2*w^3 - 13*w^2 - 19*w + 89/2]', '[5419, 5419, -5*w^3 + 15*w^2 + 18*w - 47]', '[5429, 5429, 5/2*w^3 - 2*w^2 - 15*w - 1/2]', '[5429, 5429, 1/2*w^3 + w^2 - 5*w - 31/2]', '[5429, 5429, 9/2*w^3 - 10*w^2 - 16*w + 47/2]', '[5429, 5429, -9/2*w^3 + 12*w^2 + 13*w - 61/2]', '[5431, 5431, 5/2*w^3 - 4*w^2 - 14*w + 27/2]', '[5431, 5431, -2*w^3 + 5*w^2 + 4*w - 18]', '[5441, 5441, 3/2*w^3 - 5*w^2 - 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4*w - 13/2]', '[211, 211, -w^3 + 3*w^2 + 2*w - 3]', '[239, 239, 3/2*w^3 - 2*w^2 - 9*w + 7/2]', '[239, 239, 5/2*w^3 - 5*w^2 - 11*w + 17/2]', '[241, 241, -2*w^3 + 4*w^2 + 10*w - 7]', '[241, 241, -2*w^3 + 3*w^2 + 10*w - 4]', '[241, 241, -w^3 + 2*w^2 + 2*w - 2]', '[241, 241, -5/2*w^3 + 6*w^2 + 8*w - 27/2]', '[251, 251, -1/2*w^3 + w^2 + w - 13/2]', '[251, 251, 5/2*w^3 - 5*w^2 - 11*w + 25/2]', '[251, 251, -2*w^3 + 4*w^2 + 7*w - 10]', '[251, 251, -w^3 + 2*w^2 + 5*w - 9]', '[269, 269, 1/2*w^3 - 3*w^2 + 13/2]', '[269, 269, -3/2*w^3 + 5*w^2 + 4*w - 35/2]', '[271, 271, -3/2*w^3 + 4*w^2 + 6*w - 13/2]', '[271, 271, -5/2*w^3 + 6*w^2 + 11*w - 29/2]', '[281, 281, 7/2*w^3 - 10*w^2 - 11*w + 53/2]', '[281, 281, 1/2*w^3 - 5*w - 5/2]', '[281, 281, -1/2*w^3 - 2*w^2 + 5*w + 19/2]', '[281, 281, 3/2*w^3 - 5*w^2 - 5*w + 27/2]', '[331, 331, 3/2*w^3 - 4*w^2 - 7*w + 17/2]', '[331, 331, 1/2*w^3 - 2*w^2 - 3*w + 17/2]', '[349, 349, 1/2*w^3 + w^2 - 4*w - 9/2]', '[349, 349, 5/2*w^3 - 7*w^2 - 8*w + 39/2]', '[359, 359, 1/2*w^3 - w^2 - 3/2]', '[359, 359, 3/2*w^3 - 3*w^2 - 8*w + 7/2]', '[361, 19, -1/2*w^3 + w^2 + 2*w - 13/2]', '[379, 379, 5/2*w^3 - 4*w^2 - 12*w + 15/2]', '[379, 379, -3*w^3 + 7*w^2 + 10*w - 17]', '[389, 389, -7/2*w^3 + 9*w^2 + 13*w - 51/2]', '[389, 389, w^3 - 5*w - 1]', '[389, 389, -9/2*w^3 + 11*w^2 + 18*w - 59/2]', '[389, 389, -7/2*w^3 + 8*w^2 + 13*w - 43/2]', '[401, 401, -1/2*w^3 + 3*w^2 + 4*w - 9/2]', '[401, 401, 1/2*w^3 + 3*w^2 - 4*w - 23/2]', '[421, 421, -7/2*w^3 + 9*w^2 + 16*w - 61/2]', '[421, 421, 1/2*w^3 - 4*w^2 + w + 35/2]', '[449, 449, -7/2*w^3 + 8*w^2 + 17*w - 47/2]', '[449, 449, 3*w^3 - 7*w^2 - 14*w + 17]', '[461, 461, -5/2*w^3 + 5*w^2 + 11*w - 21/2]', '[461, 461, 2*w^3 - 4*w^2 - 7*w + 8]', '[479, 479, 3/2*w^3 - 2*w^2 - 10*w + 9/2]', '[479, 479, 5/2*w^3 - 5*w^2 - 12*w + 17/2]', '[491, 491, 2*w^2 - 2*w - 5]', '[491, 491, 2*w^3 - 6*w^2 - 6*w + 19]', '[509, 509, 3/2*w^3 - 4*w^2 - 4*w + 25/2]', '[509, 509, w^3 - w^2 - 6*w + 3]', '[521, 521, 3/2*w^3 - 3*w^2 - 8*w + 5/2]', '[521, 521, 3*w^3 - 8*w^2 - 12*w + 20]', '[529, 23, 3/2*w^3 - 2*w^2 - 8*w + 9/2]', '[529, 23, -2*w^3 + 5*w^2 + 6*w - 14]', '[541, 541, w^3 - w^2 - 4*w - 3]', '[541, 541, 5/2*w^3 - 6*w^2 - 10*w + 23/2]', '[569, 569, 1/2*w^3 - w - 7/2]', '[569, 569, 7/2*w^3 - 7*w^2 - 16*w + 27/2]', '[569, 569, 5/2*w^3 - 6*w^2 - 11*w + 27/2]', '[569, 569, -5/2*w^3 + 5*w^2 + 8*w - 17/2]', '[571, 571, 3/2*w^3 - 3*w^2 - 8*w + 3/2]', '[571, 571, 7/2*w^3 - 9*w^2 - 14*w + 45/2]', '[599, 599, -7/2*w^3 + 10*w^2 + 13*w - 53/2]', '[599, 599, -1/2*w^3 + 4*w^2 + w - 29/2]', '[619, 619, -3/2*w^3 + 6*w^2 + 3*w - 31/2]', '[619, 619, -3/2*w^3 + 4*w^2 + 7*w - 9/2]', '[619, 619, 1/2*w^3 - 2*w^2 - 3*w + 25/2]', '[619, 619, -3/2*w^3 + 6*w^2 + 3*w - 41/2]', '[641, 641, -3/2*w^3 + 5*w^2 + 6*w - 39/2]', '[641, 641, -7/2*w^3 + 8*w^2 + 17*w - 45/2]', '[661, 661, 5/2*w^3 - 7*w^2 - 8*w + 41/2]', '[661, 661, -w^3 + 4*w^2 - 14]', '[701, 701, -1/2*w^3 + 3*w^2 + 5*w - 5/2]', '[701, 701, 11/2*w^3 - 14*w^2 - 21*w + 69/2]', '[719, 719, -3/2*w^3 + 4*w^2 + 7*w - 13/2]', '[719, 719, -3*w^3 + 7*w^2 + 12*w - 13]', '[719, 719, -w^2 - 4*w - 2]', '[719, 719, 5*w^3 - 14*w^2 - 17*w + 37]', '[739, 739, w^3 - 7*w - 3]', '[739, 739, -5/2*w^3 + 7*w^2 + 7*w - 37/2]', '[751, 751, 5*w^3 - 14*w^2 - 16*w + 36]', '[751, 751, w^3 + 2*w^2 - 8*w - 12]', '[761, 761, 1/2*w^3 - 2*w^2 + 2*w + 15/2]', '[761, 761, w^3 - w^2 - 8*w + 3]', '[769, 769, -1/2*w^3 + 4*w^2 - w - 29/2]', '[769, 769, -5/2*w^3 + 8*w^2 + 7*w - 43/2]', '[809, 809, 1/2*w^3 - w^2 - 3*w - 7/2]', '[809, 809, w - 6]', '[811, 811, -5*w^3 + 12*w^2 + 24*w - 38]', '[811, 811, -2*w^3 + 6*w^2 + 6*w - 21]', '[811, 811, 2*w^2 - 2*w - 3]', '[811, 811, 2*w^2 + 4*w - 1]', '[821, 821, -1/2*w^3 + 5*w + 17/2]', '[821, 821, 2*w^3 - 2*w^2 - 10*w - 1]', '[829, 829, -3*w^3 + 9*w^2 + 10*w - 23]', '[829, 829, 1/2*w^3 - 4*w^2 + 31/2]', '[839, 839, -3*w^3 + 8*w^2 + 12*w - 28]', '[839, 839, -3*w^3 + 6*w^2 + 15*w - 17]', '[841, 29, -5/2*w^3 + 5*w^2 + 10*w - 17/2]', '[841, 29, 5/2*w^3 - 5*w^2 - 10*w + 23/2]', '[911, 911, -1/2*w^3 + 6*w - 3/2]', '[911, 911, w^2 - 4*w - 6]', '[919, 919, 7/2*w^3 - 8*w^2 - 14*w + 37/2]', '[919, 919, 2*w^3 - 3*w^2 - 8*w + 4]', '[929, 929, 1/2*w^3 - 2*w^2 - 1/2]', '[929, 929, 1/2*w^3 - 2*w^2 - 3*w + 29/2]', '[929, 929, 2*w^3 - 2*w^2 - 7*w + 2]', '[929, 929, w^2 - 2*w - 10]', '[941, 941, 5/2*w^3 - 6*w^2 - 13*w + 25/2]', '[941, 941, -3/2*w^3 + 8*w + 7/2]', '[941, 941, 7/2*w^3 - 10*w^2 - 12*w + 45/2]', '[941, 941, 1/2*w^3 - 3*w^2 + 2*w + 29/2]', '[961, 31, 5/2*w^3 - 5*w^2 - 10*w + 21/2]', '[971, 971, w^3 - w^2 - 4*w - 5]', '[971, 971, 5/2*w^3 - 6*w^2 - 10*w + 19/2]', '[991, 991, -1/2*w^3 + 4*w^2 - 27/2]', '[991, 991, 3*w^3 - 9*w^2 - 10*w + 25]']}
83. label: 4.4.5725.1
    {'degree': 4, 'discriminant': 5725, 'ideals': ['[1, 1, 1]', '[9, 3, 1/3*w^3 - 8/3*w - 2/3]', '[9, 3, -w + 1]', '[11, 11, w]', '[11, 11, -1/3*w^3 + 2/3*w + 5/3]', '[11, 11, 1/3*w^3 - 8/3*w + 1/3]', '[11, 11, -2/3*w^3 + 13/3*w + 4/3]', '[16, 2, 2]', '[25, 5, 2/3*w^3 - 10/3*w - 1/3]', '[29, 29, -w - 3]', '[29, 29, -1/3*w^3 + 8/3*w - 10/3]', '[31, 31, w^3 - 6*w + 1]', '[31, 31, w^3 - 6*w - 2]', '[41, 41, 2/3*w^3 + w^2 - 13/3*w - 10/3]', '[41, 41, 2/3*w^3 - 13/3*w + 5/3]', '[59, 59, 2/3*w^3 - 13/3*w + 8/3]', '[59, 59, w^3 + w^2 - 6*w - 4]', '[79, 79, 2/3*w^3 + w^2 - 10/3*w - 19/3]', '[79, 79, 1/3*w^3 + w^2 - 2/3*w - 17/3]', '[81, 3, 3]', '[81, 9, 2/3*w^3 - w^2 - 10/3*w + 8/3]', '[81, 9, -w^3 - w^2 + 5*w + 6]', '[89, 89, 4/3*w^3 - 23/3*w - 5/3]', '[89, 89, 1/3*w^3 + 2*w^2 - 5/3*w - 32/3]', '[99, 33, 1/3*w^3 - 8/3*w - 11/3]', '[99, 33, w^2 - w - 6]', '[99, 33, -w^2 + w]', '[99, 33, -w^3 - 2*w^2 + 5*w + 7]', '[99, 33, 2/3*w^3 + w^2 - 13/3*w - 7/3]', '[99, 33, -2/3*w^3 - w^2 + 13/3*w + 25/3]', '[99, 33, -1/3*w^3 + 2*w^2 + 5/3*w - 31/3]', '[99, 33, -w + 4]', '[101, 101, 5/3*w^3 + w^2 - 31/3*w - 16/3]', '[101, 101, 2/3*w^3 - w^2 - 4/3*w + 8/3]', '[109, 109, -w^3 - 2*w^2 + 7*w + 7]', '[109, 109, -1/3*w^3 + 2*w^2 + 2/3*w - 16/3]', '[121, 11, -2/3*w^3 + w^2 + 13/3*w - 11/3]', '[121, 11, -w^3 + 5*w]', '[121, 11, 4/3*w^3 + w^2 - 23/3*w - 11/3]', '[121, 11, -1/3*w^3 + w^2 + 5/3*w - 4/3]', '[121, 11, -w^3 + 5*w + 1]', '[121, 11, 2/3*w^3 - w^2 - 7/3*w + 14/3]', '[121, 121, 1/3*w^3 - 11/3*w + 7/3]', '[121, 121, 1/3*w^3 - 11/3*w - 5/3]', '[121, 121, 4/3*w^3 + w^2 - 17/3*w - 11/3]', '[121, 121, 4/3*w^3 - w^2 - 23/3*w + 16/3]', '[131, 131, w^3 - w^2 - 7*w + 5]', '[131, 131, -2/3*w^3 - w^2 + 4/3*w + 13/3]', '[139, 139, -2/3*w^3 - w^2 + 13/3*w + 4/3]', '[139, 139, w^2 - w - 7]', '[144, 6, 2/3*w^3 - 16/3*w - 4/3]', '[144, 6, -2*w + 2]', '[151, 151, -5/3*w^3 + 28/3*w - 5/3]', '[151, 151, -1/3*w^3 + w^2 + 2/3*w - 16/3]', '[151, 151, w^3 + w^2 - 6*w - 3]', '[151, 151, -w^3 + w^2 + 7*w - 6]', '[176, 22, 2*w]', '[176, 22, -2/3*w^3 + 4/3*w + 10/3]', '[176, 22, 2/3*w^3 - 16/3*w + 2/3]', '[176, 22, -4/3*w^3 + 26/3*w + 8/3]', '[179, 179, 5/3*w^3 + w^2 - 28/3*w - 19/3]', '[179, 179, -1/3*w^3 + w^2 + 11/3*w - 4/3]', '[181, 181, -4/3*w^3 - 2*w^2 + 20/3*w + 29/3]', '[181, 181, 1/3*w^3 + w^2 - 2/3*w - 20/3]', '[181, 181, w^3 + w^2 - 5*w - 7]', '[181, 181, 5/3*w^3 + w^2 - 28/3*w - 16/3]', '[191, 191, 2*w - 1]', '[191, 191, 2/3*w^3 - 16/3*w - 1/3]', '[199, 199, 1/3*w^3 - 11/3*w + 4/3]', '[199, 199, 1/3*w^3 - 11/3*w - 2/3]', '[211, 211, -2/3*w^3 - w^2 + 19/3*w + 16/3]', '[211, 211, 2/3*w^3 + w^2 - 19/3*w - 7/3]', '[225, 15, -w^3 - 2*w^2 + 6*w + 10]', '[225, 15, -2*w^2 + w + 7]', '[229, 229, 1/3*w^3 - 11/3*w + 1/3]', '[239, 239, -5/3*w^3 - w^2 + 25/3*w + 19/3]', '[239, 239, -4/3*w^3 + w^2 + 20/3*w - 7/3]', '[251, 251, -2/3*w^3 + w^2 + 16/3*w - 14/3]', '[251, 251, -1/3*w^3 - w^2 - 1/3*w + 14/3]', '[256, 4, 4]', '[261, 87, -4/3*w^3 + 32/3*w + 17/3]', '[261, 87, 4*w - 7]', '[261, 87, w^2 + 2*w - 3]', '[261, 87, -1/3*w^3 + w^2 + 11/3*w - 19/3]', '[269, 269, 2/3*w^3 + w^2 - 7/3*w - 19/3]', '[269, 269, 1/3*w^3 + 2*w^2 - 2/3*w - 32/3]', '[275, 55, 2/3*w^3 + 2*w^2 - 13/3*w - 22/3]', '[275, 55, 1/3*w^3 - 2*w^2 - 2/3*w + 13/3]', '[275, 55, -1/3*w^3 - 2*w^2 + 8/3*w + 29/3]', '[275, 55, 4/3*w^3 + 2*w^2 - 23/3*w - 38/3]', '[279, 93, -2*w^2 - w + 12]', '[279, 93, -2*w^2 + 2*w + 9]', '[279, 93, -4/3*w^3 - 3*w^2 + 23/3*w + 53/3]', '[279, 93, -7/3*w^3 - 3*w^2 + 47/3*w + 59/3]', '[281, 281, w^3 - w^2 - 5*w + 1]', '[281, 281, 4/3*w^3 + w^2 - 20/3*w - 23/3]', '[289, 17, 2/3*w^3 + w^2 - 16/3*w - 4/3]', '[289, 17, 1/3*w^3 + w^2 - 11/3*w - 20/3]', '[319, 319, 4/3*w^3 + 2*w^2 - 17/3*w - 26/3]', '[319, 319, w^3 - 2*w^2 - 6*w + 9]', '[319, 319, -1/3*w^3 - 4/3*w + 11/3]', '[319, 319, -2/3*w^3 + w^2 + 19/3*w - 29/3]', '[319, 319, 8/3*w^3 + w^2 - 55/3*w - 34/3]', '[319, 319, -w^2 - 3*w]', '[319, 319, 2/3*w^3 - w^2 + 5/3*w - 13/3]', '[319, 319, -4/3*w^3 + 29/3*w + 8/3]', '[331, 331, 1/3*w^3 + 2*w^2 - 8/3*w - 23/3]', '[331, 331, 2/3*w^3 + 2*w^2 - 13/3*w - 28/3]', '[341, 341, 5/3*w^3 + 4*w^2 - 31/3*w - 73/3]', '[341, 341, w^3 + 2*w^2 - 8*w - 11]', '[341, 341, 1/3*w^3 - w^2 - 11/3*w + 16/3]', '[341, 341, -4/3*w^3 - 3*w^2 + 29/3*w + 53/3]', '[341, 341, w^3 + 2*w^2 - 5*w - 11]', '[341, 341, -1/3*w^3 - 3*w^2 + 5/3*w + 56/3]', '[341, 341, 11/3*w^3 + 4*w^2 - 70/3*w - 85/3]', '[341, 341, 4/3*w^3 - w^2 - 17/3*w + 1/3]', '[349, 349, 4/3*w^3 - 17/3*w + 1/3]', '[349, 349, -5/3*w^3 + 28/3*w - 2/3]', '[361, 19, -1/3*w^3 + 5/3*w + 14/3]', '[361, 19, 4/3*w^3 - 20/3*w - 5/3]', '[369, 123, -w^3 + 3*w + 4]', '[369, 123, -2*w^3 - 2*w^2 + 11*w + 12]', '[369, 123, w^2 + 2*w - 9]', '[369, 123, 2/3*w^3 + 2*w^2 - 10/3*w - 37/3]', '[379, 379, 4/3*w^3 + 2*w^2 - 23/3*w - 41/3]', '[379, 379, -5/3*w^3 + 31/3*w - 5/3]', '[389, 389, 5/3*w^3 + w^2 - 25/3*w - 16/3]', '[389, 389, -4/3*w^3 + w^2 + 20/3*w - 10/3]', '[400, 10, 4/3*w^3 - 20/3*w - 2/3]', '[401, 401, -1/3*w^3 - 3*w^2 + 5/3*w + 26/3]', '[401, 401, 1/3*w^3 + w^2 - 11/3*w - 23/3]', '[401, 401, -2/3*w^3 - 3*w^2 + 10/3*w + 52/3]', '[401, 401, 2/3*w^3 + w^2 - 16/3*w - 1/3]', '[409, 409, -2*w^3 - w^2 + 11*w + 2]', '[409, 409, -5/3*w^3 - 2*w^2 + 28/3*w + 37/3]', '[409, 409, 1/3*w^3 - 11/3*w - 17/3]', '[409, 409, 5/3*w^3 + 3*w^2 - 25/3*w - 37/3]', '[419, 419, -1/3*w^3 + 3*w^2 - 1/3*w - 37/3]', '[419, 419, 2*w^3 + 3*w^2 - 12*w - 13]', '[421, 421, -1/3*w^3 + 3*w^2 + 2/3*w - 31/3]', '[421, 421, -5/3*w^3 - w^2 + 25/3*w + 13/3]', '[421, 421, -w^3 + 7*w - 4]', '[421, 421, -4/3*w^3 + w^2 + 20/3*w - 13/3]', '[439, 439, -4/3*w^3 + w^2 + 14/3*w - 7/3]', '[439, 439, 4/3*w^3 - 17/3*w - 5/3]', '[439, 439, -7/3*w^3 - w^2 + 41/3*w + 17/3]', '[439, 439, 5/3*w^3 - 28/3*w - 4/3]', '[449, 449, w^3 + 3*w^2 - 6*w - 17]', '[449, 449, 1/3*w^3 + 3*w^2 - 8/3*w - 26/3]', '[449, 449, -4/3*w^3 + 26/3*w + 17/3]', '[449, 449, 7/3*w^3 + w^2 - 38/3*w - 8/3]', '[451, 451, 7/3*w^3 + 3*w^2 - 44/3*w - 50/3]', '[451, 451, 3*w - 4]', '[451, 451, -4/3*w^3 - w^2 + 20/3*w + 26/3]', '[451, 451, -2/3*w^3 - w^2 + 7/3*w + 22/3]', '[451, 451, -2/3*w^3 - 3*w^2 + 13/3*w + 52/3]', '[451, 451, -2/3*w^3 + w^2 - 2/3*w - 2/3]', '[451, 451, 5/3*w^3 + w^2 - 22/3*w - 22/3]', '[451, 451, 2*w^2 + w - 14]', '[461, 461, -5/3*w^3 + w^2 + 28/3*w - 14/3]', '[461, 461, -2/3*w^3 - 2*w^2 + 10/3*w + 43/3]', '[461, 461, -2*w^3 - w^2 + 12*w + 4]', '[461, 461, -w^3 + 8*w - 5]', '[464, 58, -2*w - 6]', '[464, 58, -2/3*w^3 + 16/3*w - 20/3]', '[479, 479, w^3 + w^2 - 7*w - 2]', '[479, 479, -4/3*w^3 - w^2 + 23/3*w + 5/3]', '[496, 62, 2*w^3 - 12*w + 2]', '[496, 62, 2*w^3 - 12*w - 4]', '[499, 499, -4/3*w^3 - 2*w^2 + 23/3*w + 17/3]', '[499, 499, -4/3*w^3 - w^2 + 29/3*w + 8/3]', '[521, 521, 2*w^3 - 11*w + 2]', '[521, 521, 4/3*w^3 - w^2 - 14/3*w + 1/3]', '[531, 177, -w^2 - 3*w + 10]', '[531, 177, -1/3*w^3 - 2*w^2 + 2/3*w + 35/3]', '[531, 177, -8/3*w^3 - 3*w^2 + 46/3*w + 52/3]', '[531, 177, -w^3 - w^2 + 4*w + 7]', '[569, 569, w^3 + 3*w^2 - 6*w - 9]', '[569, 569, 4/3*w^3 + w^2 - 26/3*w - 32/3]', '[569, 569, -w^3 + 6*w - 6]', '[569, 569, -1/3*w^3 - 3*w^2 + 8/3*w + 50/3]', '[571, 571, 2/3*w^3 + 3*w^2 - 10/3*w - 46/3]', '[571, 571, 2*w^2 - 15]', '[599, 599, -w^3 + 2*w^2 + 4*w - 10]', '[599, 599, -w^2 - 3*w + 8]', '[601, 601, 5/3*w^3 + 3*w^2 - 28/3*w - 34/3]', '[601, 601, 1/3*w^3 - 3*w^2 - 2/3*w + 43/3]', '[619, 619, 2/3*w^3 - w^2 - 13/3*w + 2/3]', '[619, 619, 2/3*w^3 + w^2 - 7/3*w - 25/3]', '[619, 619, 2*w^3 + w^2 - 11*w - 6]', '[619, 619, -2/3*w^3 + 13/3*w - 17/3]', '[625, 5, 5]', '[631, 631, 2/3*w^3 + 2*w^2 - 19/3*w - 31/3]', '[631, 631, w^3 + 2*w^2 - 8*w - 6]', '[631, 631, 2/3*w^3 + 2*w^2 - 4/3*w - 31/3]', '[631, 631, -2/3*w^3 + 2*w^2 + 16/3*w - 23/3]', '[649, 649, -1/3*w^3 - 4/3*w + 2/3]', '[649, 649, -1/3*w^3 - 7/3*w + 17/3]', '[649, 649, -5/3*w^3 - 2*w^2 + 28/3*w + 40/3]', '[649, 649, 2*w^3 + 2*w^2 - 10*w - 11]', '[649, 649, 1/3*w^3 - 2*w^2 - 11/3*w + 43/3]', '[649, 649, 10/3*w^3 + 4*w^2 - 62/3*w - 71/3]', '[649, 649, 2/3*w^3 + w^2 - 4/3*w - 22/3]', '[649, 649, 3*w^2 - 16]', '[656, 82, 4/3*w^3 + 2*w^2 - 26/3*w - 20/3]', '[656, 82, 4/3*w^3 - 26/3*w + 10/3]', '[659, 659, -2/3*w^3 + 1/3*w + 16/3]', '[659, 659, 5/3*w^3 - 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29/3*w - 26/3]', '[1441, 1441, 4/3*w^3 + 5*w^2 - 29/3*w - 101/3]', '[1441, 1441, 1/3*w^3 - 4*w^2 - 5/3*w + 82/3]', '[1441, 1441, 5/3*w^3 - 31/3*w + 14/3]', '[1441, 1441, -5/3*w^3 - 4*w^2 + 25/3*w + 22/3]', '[1451, 1451, -1/3*w^3 + 3*w^2 + 5/3*w - 28/3]', '[1451, 1451, 4/3*w^3 + 3*w^2 - 20/3*w - 50/3]', '[1475, 295, 4/3*w^3 - 2*w^2 - 17/3*w + 34/3]', '[1475, 295, -1/3*w^3 - w^2 + 14/3*w + 26/3]', '[1481, 1481, 7/3*w^3 + w^2 - 38/3*w - 17/3]', '[1481, 1481, -w^3 + 6*w - 7]', '[1489, 1489, 7/3*w^3 + 2*w^2 - 41/3*w - 23/3]', '[1489, 1489, -w^3 + 2*w^2 + 3*w - 9]', '[1511, 1511, -1/3*w^3 + w^2 - 1/3*w - 31/3]', '[1511, 1511, 4/3*w^3 + w^2 - 26/3*w + 7/3]', '[1529, 1529, -w^3 - 3*w^2 + 6*w + 14]', '[1529, 1529, 11/3*w^3 + w^2 - 73/3*w - 28/3]', '[1529, 1529, -5/3*w^3 - w^2 + 16/3*w + 22/3]', '[1529, 1529, w^3 - w^2 - 7*w]', '[1529, 1529, 2/3*w^3 + w^2 - 4/3*w - 28/3]', '[1529, 1529, -7/3*w^3 + w^2 + 44/3*w - 7/3]', '[1529, 1529, 4/3*w^3 - w^2 - 2/3*w - 8/3]', '[1529, 1529, 1/3*w^3 + 3*w^2 - 8/3*w - 35/3]', '[1531, 1531, 1/3*w^3 + 3*w^2 - 11/3*w - 35/3]', '[1531, 1531, 4/3*w^3 + 3*w^2 - 26/3*w - 41/3]', '[1549, 1549, -2/3*w^3 + 2*w^2 + 19/3*w - 29/3]', '[1549, 1549, 1/3*w^3 + w^2 - 17/3*w - 8/3]', '[1559, 1559, 3*w^2 - 8]', '[1559, 1559, 2/3*w^3 + w^2 - 22/3*w - 13/3]', '[1559, 1559, w^3 + w^2 - 9*w - 3]', '[1559, 1559, w^3 + 3*w^2 - 5*w - 18]', '[1571, 1571, 2*w^2 + 2*w - 15]', '[1571, 1571, 1/3*w^3 + 4*w^2 - 14/3*w - 56/3]', '[1579, 1579, -2/3*w^3 + 2*w^2 + 7/3*w - 41/3]', '[1579, 1579, 5/3*w^3 + 2*w^2 - 28/3*w - 10/3]', '[1584, 66, 2/3*w^3 - 16/3*w - 22/3]', '[1584, 66, 2*w^2 - 2*w - 12]', '[1584, 66, -2*w^2 + 2*w]', '[1584, 66, -2*w^3 - 4*w^2 + 10*w + 14]', '[1584, 66, 4/3*w^3 + 2*w^2 - 26/3*w - 14/3]', '[1584, 66, -4/3*w^3 - 2*w^2 + 26/3*w + 50/3]', '[1584, 66, -2/3*w^3 + 4*w^2 + 10/3*w - 62/3]', '[1584, 66, -2*w + 8]', '[1601, 1601, -7/3*w^3 + 44/3*w - 7/3]', '[1601, 1601, -1/3*w^3 - 4*w^2 + 2/3*w + 68/3]', '[1609, 1609, -4/3*w^3 - w^2 + 26/3*w - 1/3]', '[1609, 1609, -1/3*w^3 + w^2 - 1/3*w - 25/3]', '[1611, 537, -13/3*w^3 - 5*w^2 + 80/3*w + 86/3]', '[1611, 537, w^3 + w^2 - 10*w - 15]', '[1611, 537, -w^3 - 3*w^2 + 7*w + 12]', '[1611, 537, -w^3 + 3*w - 5]', '[1616, 202, 10/3*w^3 + 2*w^2 - 62/3*w - 32/3]', '[1616, 202, 4/3*w^3 - 2*w^2 - 8/3*w + 16/3]', '[1619, 1619, -w^3 - 3*w^2 + 7*w + 14]', '[1619, 1619, -2/3*w^3 - 3*w^2 + 16/3*w + 34/3]', '[1619, 1619, -2*w^3 + 13*w - 3]', '[1619, 1619, -w^3 + 2*w - 2]', '[1621, 1621, 4/3*w^3 + 2*w^2 - 29/3*w - 17/3]', '[1621, 1621, 1/3*w^3 + 2*w^2 - 14/3*w - 32/3]', '[1629, 543, 13/3*w^3 + 4*w^2 - 74/3*w - 56/3]', '[1629, 543, -2*w^3 - w^2 + 12*w + 2]', '[1629, 543, -w^3 - 2*w^2 + 8*w + 4]', '[1629, 543, 2*w^3 + 2*w^2 - 11*w - 5]', '[1629, 543, -w^3 - 3*w^2 + 6*w + 13]', '[1629, 543, -10/3*w^3 - 3*w^2 + 62/3*w + 47/3]', '[1629, 543, -w^3 - w^2 + 8*w - 3]', '[1629, 543, -4*w^3 - 5*w^2 + 24*w + 28]', '[1661, 1661, -5/3*w^3 - 4*w^2 + 25/3*w + 55/3]', '[1661, 1661, 2*w^3 + 2*w^2 - 9*w - 11]', '[1661, 1661, -7/3*w^3 - 6*w^2 + 41/3*w + 107/3]', '[1661, 1661, 8/3*w^3 + 4*w^2 - 49/3*w - 67/3]', '[1661, 1661, -5/3*w^3 + 2*w^2 + 28/3*w - 20/3]', '[1661, 1661, -2/3*w^3 + 4*w^2 + 13/3*w - 83/3]', '[1661, 1661, 1/3*w^3 + 5*w^2 - 5/3*w - 86/3]', '[1661, 1661, -4/3*w^3 - 2*w^2 + 20/3*w + 41/3]', '[1661, 1661, -1/3*w^3 + 4*w^2 - 4/3*w - 34/3]', '[1661, 1661, -4/3*w^3 + 29/3*w - 19/3]', '[1661, 1661, 2/3*w^3 - 2*w^2 - 10/3*w + 11/3]', '[1661, 1661, -w^2 + 11]', '[1661, 1661, -1/3*w^3 + 3*w^2 + 11/3*w - 34/3]', '[1661, 1661, 2*w^3 - 14*w - 1]', '[1661, 1661, -2/3*w^3 - 2/3*w + 7/3]', '[1661, 1661, -2/3*w^3 - 5*w^2 + 16/3*w + 97/3]', '[1669, 1669, 5/3*w^3 + w^2 - 22/3*w - 28/3]', '[1669, 1669, -5/3*w^3 + w^2 + 28/3*w + 1/3]', '[1681, 41, 2*w^3 - 10*w + 1]', '[1681, 41, 2*w^3 - 10*w - 3]', '[1681, 1681, -w^3 - w^2 + 4*w + 14]', '[1681, 1681, 5/3*w^3 + 5*w^2 - 25/3*w - 76/3]', '[1699, 1699, -w^3 - w^2 + 8*w - 2]', '[1699, 1699, 1/3*w^3 + w^2 - 14/3*w - 29/3]', '[1709, 1709, w^3 + 3*w^2 - 7*w - 13]', '[1709, 1709, 2/3*w^3 + 3*w^2 - 16/3*w - 37/3]', '[1711, 1711, 2/3*w^3 + w^2 - 22/3*w - 10/3]', '[1711, 1711, w^3 + w^2 - 9*w - 4]', '[1711, 1711, -2/3*w^3 + 2*w^2 + 1/3*w - 23/3]', '[1711, 1711, -7/3*w^3 - 2*w^2 + 44/3*w + 26/3]', '[1719, 573, -2*w^2 + 3*w - 1]', '[1719, 573, 1/3*w^3 - 8/3*w - 20/3]', '[1719, 573, -5/3*w^3 - 2*w^2 + 34/3*w + 52/3]', '[1719, 573, -w + 7]', '[1744, 218, -2*w^3 - 4*w^2 + 14*w + 14]', '[1744, 218, -2/3*w^3 + 4*w^2 + 4/3*w - 32/3]', '[1759, 1759, -4/3*w^3 + w^2 + 29/3*w - 1/3]', '[1759, 1759, -2/3*w^3 - w^2 + 1/3*w + 28/3]', '[1791, 597, -2/3*w^3 - w^2 + 13/3*w + 34/3]', '[1791, 597, -4/3*w^3 - w^2 + 29/3*w + 38/3]', '[1791, 597, w^2 - w + 3]', '[1791, 597, w^2 - 3*w + 5]', '[1801, 1801, 1/3*w^3 - 2*w^2 - 14/3*w + 52/3]', '[1801, 1801, 4/3*w^3 + 4*w^2 - 32/3*w - 59/3]', '[1811, 1811, -7/3*w^3 + w^2 + 47/3*w - 28/3]', '[1811, 1811, 2*w^3 + 4*w^2 - 13*w - 13]', '[1829, 1829, 8/3*w^3 + w^2 - 55/3*w - 25/3]', '[1829, 1829, w^3 + 2*w^2 - 8*w - 18]', '[1829, 1829, -5/3*w^3 - w^2 + 40/3*w + 4/3]', '[1829, 1829, -10/3*w^3 - 4*w^2 + 59/3*w + 53/3]', '[1849, 43, 3*w^3 + 2*w^2 - 15*w - 12]', '[1849, 43, -2/3*w^3 + 2*w^2 + 16/3*w - 53/3]', '[1861, 1861, -5/3*w^3 - 2*w^2 + 31/3*w - 2/3]', '[1861, 1861, -2/3*w^3 + 4*w^2 + 7/3*w - 56/3]', '[1871, 1871, -5/3*w^3 + 2*w^2 + 34/3*w - 23/3]', '[1871, 1871, -8/3*w^3 + w^2 + 49/3*w - 26/3]', '[1879, 1879, 2/3*w^3 + w^2 - 4/3*w - 31/3]', '[1879, 1879, w^3 - w^2 - 7*w - 1]', '[1899, 633, 10/3*w^3 + 2*w^2 - 65/3*w - 62/3]', '[1899, 633, -7/3*w^3 - 2*w^2 + 41/3*w + 56/3]', '[1899, 633, w^3 - 2*w^2 - 3*w - 2]', '[1899, 633, -w^3 + 2*w^2 + 5]', '[1901, 1901, -1/3*w^3 + 3*w^2 + 11/3*w - 64/3]', '[1901, 1901, -2/3*w^3 - 3*w^2 + 4/3*w + 16/3]', '[1936, 22, -4/3*w^3 + 2*w^2 + 26/3*w - 22/3]', '[1936, 22, -2*w^3 + 10*w]', '[1936, 22, 8/3*w^3 + 2*w^2 - 46/3*w - 22/3]', '[1936, 22, -2/3*w^3 + 2*w^2 + 10/3*w - 8/3]', '[1936, 22, -2*w^3 + 10*w + 2]', '[1936, 22, 4/3*w^3 - 2*w^2 - 14/3*w + 28/3]', '[1936, 242, 2/3*w^3 - 22/3*w + 14/3]', '[1936, 242, 2/3*w^3 - 22/3*w - 10/3]', '[1936, 242, 8/3*w^3 + 2*w^2 - 34/3*w - 22/3]', '[1936, 242, 8/3*w^3 - 2*w^2 - 46/3*w + 32/3]', '[1949, 1949, 11/3*w^3 + w^2 - 64/3*w - 7/3]', '[1949, 1949, 7/3*w^3 + 4*w^2 - 44/3*w - 50/3]', '[1951, 1951, -4/3*w^3 - w^2 + 17/3*w + 32/3]', '[1951, 1951, 4/3*w^3 + 2*w^2 - 17/3*w - 35/3]', '[1969, 1969, -8/3*w^3 - 4*w^2 + 52/3*w + 67/3]', '[1969, 1969, 2/3*w^3 + 2*w^2 - 19/3*w - 49/3]', '[1969, 1969, 6*w^3 + 6*w^2 - 37*w - 39]', '[1969, 1969, -8/3*w^3 - 3*w^2 + 58/3*w + 79/3]', '[1969, 1969, 8/3*w^3 + 4*w^2 - 49/3*w - 55/3]', '[1969, 1969, 2/3*w^3 + w^2 + 2/3*w + 11/3]', '[1969, 1969, 2/3*w^3 - 2*w^2 - 10/3*w + 5/3]', '[1969, 1969, -8/3*w^3 - 2*w^2 + 37/3*w + 19/3]', '[1975, 395, -4/3*w^3 + w^2 + 26/3*w - 1/3]', '[1975, 395, -1/3*w^3 + 3*w^2 + 8/3*w - 31/3]', '[1979, 1979, -5/3*w^3 - w^2 + 19/3*w + 25/3]', '[1979, 1979, -2/3*w^3 + 3*w^2 + 10/3*w - 29/3]', '[1979, 1979, 5/3*w^3 + 3*w^2 - 25/3*w - 49/3]', '[1979, 1979, 2*w^3 - w^2 - 12*w + 1]', '[1991, 1991, -10/3*w^3 - 4*w^2 + 53/3*w + 44/3]', '[1991, 1991, -7/3*w^3 - 4*w^2 + 44/3*w + 68/3]', '[1991, 1991, 8/3*w^3 - 46/3*w - 1/3]', '[1991, 1991, 1/3*w^3 - 2*w^2 - 8/3*w + 10/3]', '[1991, 1991, -5/3*w^3 + 34/3*w - 14/3]', '[1991, 1991, 8/3*w^3 + 4*w^2 - 46/3*w - 55/3]', '[1991, 1991, 14/3*w^3 + 3*w^2 - 85/3*w - 61/3]', '[1991, 1991, -1/3*w^3 - 2*w^2 + 14/3*w - 4/3]', '[1991, 1991, -16/3*w^3 - 4*w^2 + 95/3*w + 68/3]', '[1991, 1991, 4/3*w^3 + 2*w^2 - 26/3*w - 11/3]', '[1991, 1991, -7/3*w^3 - 2*w^2 + 47/3*w + 26/3]', '[1991, 1991, 3*w^3 + 2*w^2 - 18*w - 9]', '[1991, 1991, 1/3*w^3 - 2*w^2 + 1/3*w - 2/3]', '[1991, 1991, 2*w^3 + 3*w^2 - 13*w - 11]', '[1991, 1991, 16/3*w^3 + 6*w^2 - 98/3*w - 113/3]', '[1991, 1991, w^3 + 2*w^2 - 4*w - 1]', '[1999, 1999, -5/3*w^3 - 2*w^2 + 22/3*w + 34/3]', '[1999, 1999, 4/3*w^3 - 2*w^2 - 23/3*w + 19/3]', '[1999, 1999, 7/3*w^3 + w^2 - 35/3*w - 20/3]', '[1999, 1999, -2*w^3 + w^2 + 10*w - 2]', '[2011, 2011, 7/3*w^3 + 4*w^2 - 38/3*w - 35/3]', '[2011, 2011, -2/3*w^3 + 4*w^2 + 7/3*w - 68/3]', '[2025, 15, 2*w^3 - 10*w - 1]', '[2025, 45, -2/3*w^3 - w^2 + 4/3*w + 34/3]', '[2025, 45, w^3 - w^2 - 7*w - 2]', '[2029, 2029, -2/3*w^3 + 3*w^2 + 7/3*w - 53/3]', '[2029, 2029, -7/3*w^3 + 3*w^2 + 35/3*w - 37/3]', '[2039, 2039, 5/3*w^3 + 2*w^2 - 25/3*w - 40/3]', '[2039, 2039, 2/3*w^3 + 2*w^2 - 4/3*w - 37/3]', '[2061, 687, w^2 - 2*w + 4]', '[2061, 687, -w^3 - w^2 + 7*w + 12]', '[2069, 2069, 2*w^3 + 2*w^2 - 10*w - 13]', '[2069, 2069, 1/3*w^3 + 2*w^2 + 1/3*w - 41/3]', '[2089, 2089, 5/3*w^3 + 2*w^2 - 31/3*w - 16/3]', '[2089, 2089, -1/3*w^3 + 2*w^2 - 1/3*w - 34/3]', '[2096, 262, 2*w^3 - 2*w^2 - 14*w + 10]', '[2096, 262, -4/3*w^3 - 2*w^2 + 8/3*w + 26/3]', '[2099, 2099, 2*w^3 - 9*w - 3]', '[2099, 2099, -7/3*w^3 + 38/3*w + 8/3]', '[2101, 2101, 1/3*w^3 - 2/3*w - 23/3]', '[2101, 2101, 8/3*w^3 + 4*w^2 - 55/3*w - 82/3]', '[2101, 2101, 2*w^2 - w]', '[2101, 2101, -2/3*w^3 - 2*w^2 + 19/3*w + 40/3]', '[2101, 2101, w^3 + 2*w^2 - 8*w - 3]', '[2101, 2101, -1/3*w^3 - 4*w^2 + 20/3*w + 17/3]', '[2101, 2101, -w^3 - 2*w^2 + 6*w + 17]', '[2101, 2101, 2/3*w^3 - 13/3*w - 22/3]', '[2111, 2111, 4*w^2 - 4*w - 17]', '[2111, 2111, -8/3*w^3 - 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4]', '[2459, 2459, -2/3*w^3 + w^2 + 22/3*w - 29/3]', '[2459, 2459, 5/3*w^3 + 3*w^2 - 34/3*w - 28/3]', '[2459, 2459, 1/3*w^3 - w^2 - 17/3*w + 1/3]', '[2475, 165, -3*w^3 - 2*w^2 + 16*w + 11]', '[2475, 165, -2*w^3 - w^2 + 13*w + 2]', '[2475, 165, -2*w^3 + w^2 + 7*w]', '[2475, 165, -w^3 - 2*w^2 + w + 5]', '[2475, 165, 2/3*w^3 - w^2 - 1/3*w + 17/3]', '[2475, 165, 10/3*w^3 + w^2 - 59/3*w - 23/3]', '[2475, 165, -5/3*w^3 + 2*w^2 + 37/3*w - 41/3]', '[2475, 165, 2*w^3 - 2*w^2 - 9*w + 6]', '[2511, 93, 3*w^3 - 18*w + 3]', '[2511, 93, 3*w^3 - 18*w - 6]', '[2511, 279, 2*w^3 - 15*w - 5]', '[2511, 279, 5*w^3 + 3*w^2 - 30*w - 23]', '[2511, 279, 1/3*w^3 - 5*w^2 - 5/3*w + 85/3]', '[2511, 279, -5/3*w^3 - 2*w^2 + 25/3*w + 61/3]', '[2519, 2519, 5/3*w^3 + 3*w^2 - 37/3*w - 61/3]', '[2519, 2519, 2/3*w^3 + 3*w^2 - 22/3*w - 13/3]', '[2519, 2519, 1/3*w^3 - w^2 - 5/3*w - 11/3]', '[2519, 2519, -2/3*w^3 - w^2 + 10/3*w + 37/3]', '[2521, 2521, -7/3*w^3 - 5*w^2 + 35/3*w + 47/3]', '[2521, 2521, 11/3*w^3 + 3*w^2 - 61/3*w - 61/3]', '[2525, 505, -5/3*w^3 - 3*w^2 + 37/3*w + 64/3]', '[2525, 505, 2/3*w^3 + 3*w^2 - 22/3*w - 10/3]', '[2529, 843, w^3 - 4*w^2 + 12]', '[2529, 843, -4/3*w^3 - 3*w^2 + 32/3*w + 53/3]', '[2529, 843, -4*w^3 - 4*w^2 + 25*w + 21]', '[2529, 843, -w^3 - 3*w^2 + 9*w + 7]', '[2531, 2531, 2/3*w^3 - w^2 - 22/3*w + 2/3]', '[2531, 2531, -1/3*w^3 + w^2 + 17/3*w - 28/3]', '[2531, 2531, -8/3*w^3 - 3*w^2 + 34/3*w + 40/3]', '[2531, 2531, -7/3*w^3 + 3*w^2 + 41/3*w - 40/3]', '[2549, 2549, 5/3*w^3 + w^2 - 31/3*w + 2/3]', '[2549, 2549, 2*w^3 + 2*w^2 - 13*w - 7]', '[2551, 2551, w^2 - 4*w - 7]', '[2551, 2551, -5/3*w^3 - w^2 + 37/3*w + 1/3]', '[2579, 2579, 7/3*w^3 + 3*w^2 - 44/3*w - 35/3]', '[2579, 2579, 1/3*w^3 - 3*w^2 + 4/3*w + 40/3]', '[2579, 2579, 4/3*w^3 + 3*w^2 - 17/3*w - 47/3]', '[2579, 2579, w^3 + w^2 - 3*w - 10]', '[2581, 2581, -7/3*w^3 - w^2 + 47/3*w + 8/3]', '[2581, 2581, -2/3*w^3 + w^2 - 2/3*w - 14/3]', '[2581, 2581, -2*w^3 - 4*w^2 + 11*w + 15]', '[2581, 2581, -1/3*w^3 + 4*w^2 + 2/3*w - 58/3]', '[2591, 2591, -7/3*w^3 + 44/3*w - 10/3]', '[2591, 2591, 4/3*w^3 + 3*w^2 - 29/3*w - 23/3]', '[2601, 51, -5/3*w^3 - 2*w^2 + 25/3*w + 43/3]', '[2601, 51, -3*w^3 - w^2 + 20*w + 13]', '[2601, 51, -w^3 + w^2 + 6]', '[2601, 51, -w^3 + 2*w^2 + 5*w - 3]', '[2609, 2609, 1/3*w^3 - 4*w^2 - 5/3*w + 58/3]', '[2609, 2609, 5/3*w^3 + 4*w^2 - 25/3*w - 46/3]', '[2621, 2621, -7/3*w^3 + w^2 + 38/3*w - 13/3]', '[2621, 2621, -7/3*w^3 - w^2 + 32/3*w + 14/3]', '[2629, 2629, -5*w^2 + 3*w + 24]', '[2629, 2629, 7/3*w^3 + 4*w^2 - 47/3*w - 56/3]', '[2629, 2629, 2*w^3 - 5*w^2 - 5*w + 10]', '[2629, 2629, -1/3*w^3 + 4*w^2 - 1/3*w - 16/3]', '[2629, 2629, 1/3*w^3 + 4*w^2 - 17/3*w - 44/3]', '[2629, 2629, -8/3*w^3 - 5*w^2 + 49/3*w + 55/3]', '[2629, 2629, 7/3*w^3 + 4*w^2 - 41/3*w - 86/3]', '[2629, 2629, -16/3*w^3 - 5*w^2 + 95/3*w + 95/3]', '[2659, 2659, 2/3*w^3 + w^2 - 16/3*w - 37/3]', '[2659, 2659, 1/3*w^3 + w^2 - 11/3*w + 13/3]', '[2671, 2671, 4/3*w^3 - w^2 - 29/3*w - 2/3]', '[2671, 2671, 2/3*w^3 + w^2 - 1/3*w - 31/3]', '[2689, 2689, -w^3 - 2*w^2 + 2*w + 12]', '[2689, 2689, -4/3*w^3 + 2*w^2 + 29/3*w - 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5]', '[9801, 363, 4*w^3 + 3*w^2 - 17*w - 11]', '[9801, 363, 4*w^3 - 3*w^2 - 23*w + 16]', '[9801, 1089, w^3 - 2*w^2 - 2*w + 12]', '[9801, 1089, 1/3*w^3 + 3*w^2 - 8/3*w - 2/3]', '[9801, 1089, 8/3*w^3 + 2*w^2 - 49/3*w - 13/3]', '[9801, 1089, 3*w^3 - w^2 - 19*w - 1]', '[9801, 1089, -2*w^3 - w^2 + 6*w + 11]', '[9801, 1089, -w^3 - 3*w^2 + 6*w + 25]', '[9801, 1089, -5*w^2 + w + 22]', '[9801, 1089, -2*w^3 - 5*w^2 + 11*w + 21]', '[9819, 3273, 2*w^3 + w^2 - 15*w + 3]', '[9819, 3273, 16/3*w^3 + 3*w^2 - 101/3*w - 50/3]', '[9819, 3273, w^2 - 5*w - 10]', '[9819, 3273, -2*w^3 + 3*w^2 + 3*w - 7]', '[9829, 9829, 2*w^3 + 5*w^2 - 13*w - 19]', '[9829, 9829, 2/3*w^3 + 5*w^2 - 19/3*w - 70/3]', '[9839, 9839, 14/3*w^3 + 3*w^2 - 76/3*w - 58/3]', '[9839, 9839, -10/3*w^3 - 6*w^2 + 56/3*w + 53/3]', '[9859, 9859, 4*w^3 + 3*w^2 - 18*w - 18]', '[9859, 9859, 13/3*w^3 + 4*w^2 - 77/3*w - 53/3]', '[9859, 9859, 13/3*w^3 + 6*w^2 - 80/3*w - 95/3]', '[9859, 9859, 11/3*w^3 - 3*w^2 - 61/3*w + 26/3]', '[9871, 9871, 1/3*w^3 + 5*w^2 - 8/3*w - 59/3]', '[9871, 9871, -2*w^3 - w^2 + 16*w + 7]', '[9889, 9889, 17/3*w^3 + 3*w^2 - 115/3*w - 52/3]', '[9889, 9889, -1/3*w^3 + 6*w^2 + 2/3*w - 67/3]', '[9889, 9889, w^3 + 8*w^2 - 6*w - 47]', '[9889, 9889, 11/3*w^3 - 8*w^2 - 25/3*w + 32/3]', '[9889, 9889, 4/3*w^3 + 7*w^2 - 47/3*w - 77/3]', '[9889, 9889, 20/3*w^3 + 7*w^2 - 121/3*w - 157/3]', '[9889, 9889, -13/3*w^3 + 3*w^2 + 68/3*w - 13/3]', '[9889, 9889, 1/3*w^3 + 10*w^2 - 20/3*w - 71/3]', '[9889, 9889, -w^3 + 4*w^2 + 8*w - 15]', '[9889, 9889, -2*w^3 - 8*w^2 + 11*w + 22]', '[9889, 9889, -8/3*w^3 - 6*w^2 + 43/3*w + 88/3]', '[9889, 9889, -4/3*w^3 - 4*w^2 + 11/3*w + 62/3]', '[9889, 9889, -14/3*w^3 - 10*w^2 + 85/3*w + 184/3]', '[9889, 9889, -5/3*w^3 - 8*w^2 + 49/3*w + 112/3]', '[9889, 9889, -5/3*w^3 + 9*w^2 - 8/3*w - 65/3]', '[9889, 9889, 3*w^3 - 3*w^2 - 13*w]', '[9901, 9901, 8/3*w^3 + 4*w^2 - 55/3*w - 43/3]', '[9901, 9901, 1/3*w^3 + 4*w^2 - 20/3*w - 56/3]', '[9904, 1238, 4/3*w^3 - 2*w^2 - 26/3*w + 4/3]', '[9904, 1238, 4/3*w^3 + 2*w^2 - 14/3*w - 50/3]', '[9904, 1238, 4*w^3 + 2*w^2 - 22*w - 12]', '[9904, 1238, -4/3*w^3 + 26/3*w - 34/3]', '[9931, 9931, -13/3*w^3 - 6*w^2 + 80/3*w + 92/3]', '[9931, 9931, -14/3*w^3 - 4*w^2 + 85/3*w + 58/3]', '[9949, 9949, 13/3*w^3 + 3*w^2 - 68/3*w - 68/3]', '[9949, 9949, -7/3*w^3 + 5*w^2 + 41/3*w - 67/3]', '[9981, 3327, -5*w^3 - w^2 + 36*w + 20]', '[9981, 3327, -10/3*w^3 - 5*w^2 + 56/3*w + 89/3]', '[9981, 3327, -w^3 + 5*w^2 + 3*w - 13]', '[9981, 3327, -2/3*w^3 - 3*w^2 - 2/3*w + 58/3]', '[9981, 3327, -w^3 + w^2 - 6*w + 15]', '[9981, 3327, -4/3*w^3 + 2*w^2 + 29/3*w - 7/3]', '[9981, 3327, -w^3 + 3*w^2 + 9*w - 8]', '[9981, 3327, -w^3 - 2*w^2 + 2*w + 16]', '[9999, 3333, -w^2 - 5*w + 3]', '[9999, 3333, -28/3*w^3 - 8*w^2 + 173/3*w + 143/3]', '[9999, 3333, 2/3*w^3 - 3*w^2 + 2/3*w + 41/3]', '[9999, 3333, -2*w^2 + 4*w - 5]', '[9999, 3333, -5/3*w^3 + w^2 + 7/3*w - 11/3]', '[9999, 3333, -3*w^3 - 3*w^2 + 19*w + 11]', '[9999, 3333, -2*w^3 - 2*w^2 + 14*w + 21]', '[9999, 3333, 2*w^3 - w^2 - 17*w - 8]', '[9999, 3333, -16/3*w^3 + 3*w^2 + 101/3*w - 40/3]', '[9999, 3333, -1/3*w^3 - 5*w^2 + 11/3*w + 71/3]', '[9999, 3333, 4*w^3 + w^2 - 26*w - 3]', '[9999, 3333, w^3 + w^2 - 7*w - 15]', '[9999, 3333, -2*w^3 + 4*w^2 + 9*w - 11]', '[9999, 3333, -7*w^3 - 3*w^2 + 43*w + 21]', '[9999, 3333, -w^3 - 3*w^2 + 10*w + 18]', '[9999, 3333, 12*w^3 + 8*w^2 - 76*w - 53]', '[10000, 10, 10]'], 'label': '4.4.5725.1', 'narrow_class_no': 1, 'primes': ['[9, 3, 1/3*w^3 - 8/3*w - 2/3]', '[9, 3, -w + 1]', '[11, 11, w]', '[11, 11, -1/3*w^3 + 2/3*w + 5/3]', '[11, 11, 1/3*w^3 - 8/3*w + 1/3]', '[11, 11, -2/3*w^3 + 13/3*w + 4/3]', '[16, 2, 2]', '[25, 5, 2/3*w^3 - 10/3*w - 1/3]', '[29, 29, -w - 3]', '[29, 29, -1/3*w^3 + 8/3*w - 10/3]', '[31, 31, w^3 - 6*w + 1]', '[31, 31, w^3 - 6*w - 2]', '[41, 41, 2/3*w^3 + w^2 - 13/3*w - 10/3]', '[41, 41, 2/3*w^3 - 13/3*w + 5/3]', '[59, 59, 2/3*w^3 - 13/3*w + 8/3]', '[59, 59, w^3 + w^2 - 6*w - 4]', '[79, 79, 2/3*w^3 + w^2 - 10/3*w - 19/3]', '[79, 79, 1/3*w^3 + w^2 - 2/3*w - 17/3]', '[89, 89, 4/3*w^3 - 23/3*w - 5/3]', '[89, 89, 1/3*w^3 + 2*w^2 - 5/3*w - 32/3]', '[101, 101, 5/3*w^3 + w^2 - 31/3*w - 16/3]', '[101, 101, 2/3*w^3 - w^2 - 4/3*w + 8/3]', '[109, 109, -w^3 - 2*w^2 + 7*w + 7]', '[109, 109, -1/3*w^3 + 2*w^2 + 2/3*w - 16/3]', '[131, 131, w^3 - w^2 - 7*w + 5]', '[131, 131, -2/3*w^3 - w^2 + 4/3*w + 13/3]', '[139, 139, -2/3*w^3 - w^2 + 13/3*w + 4/3]', '[139, 139, w^2 - w - 7]', '[151, 151, -5/3*w^3 + 28/3*w - 5/3]', '[151, 151, -1/3*w^3 + w^2 + 2/3*w - 16/3]', '[151, 151, w^3 + w^2 - 6*w - 3]', '[151, 151, -w^3 + w^2 + 7*w - 6]', '[179, 179, 5/3*w^3 + w^2 - 28/3*w - 19/3]', '[179, 179, -1/3*w^3 + w^2 + 11/3*w - 4/3]', '[181, 181, -4/3*w^3 - 2*w^2 + 20/3*w + 29/3]', '[181, 181, 1/3*w^3 + w^2 - 2/3*w - 20/3]', '[181, 181, w^3 + w^2 - 5*w - 7]', '[181, 181, 5/3*w^3 + w^2 - 28/3*w - 16/3]', '[191, 191, 2*w - 1]', '[191, 191, 2/3*w^3 - 16/3*w - 1/3]', '[199, 199, 1/3*w^3 - 11/3*w + 4/3]', '[199, 199, 1/3*w^3 - 11/3*w - 2/3]', '[211, 211, -2/3*w^3 - w^2 + 19/3*w + 16/3]', '[211, 211, 2/3*w^3 + w^2 - 19/3*w - 7/3]', '[229, 229, 1/3*w^3 - 11/3*w + 1/3]', '[239, 239, -5/3*w^3 - w^2 + 25/3*w + 19/3]', '[239, 239, -4/3*w^3 + w^2 + 20/3*w - 7/3]', '[251, 251, -2/3*w^3 + w^2 + 16/3*w - 14/3]', '[251, 251, -1/3*w^3 - w^2 - 1/3*w + 14/3]', '[269, 269, 2/3*w^3 + w^2 - 7/3*w - 19/3]', '[269, 269, 1/3*w^3 + 2*w^2 - 2/3*w - 32/3]', '[281, 281, w^3 - w^2 - 5*w + 1]', '[281, 281, 4/3*w^3 + w^2 - 20/3*w - 23/3]', '[289, 17, 2/3*w^3 + w^2 - 16/3*w - 4/3]', '[289, 17, 1/3*w^3 + w^2 - 11/3*w - 20/3]', '[331, 331, 1/3*w^3 + 2*w^2 - 8/3*w - 23/3]', '[331, 331, 2/3*w^3 + 2*w^2 - 13/3*w - 28/3]', '[349, 349, 4/3*w^3 - 17/3*w + 1/3]', '[349, 349, -5/3*w^3 + 28/3*w - 2/3]', '[361, 19, -1/3*w^3 + 5/3*w + 14/3]', '[361, 19, 4/3*w^3 - 20/3*w - 5/3]', '[379, 379, 4/3*w^3 + 2*w^2 - 23/3*w - 41/3]', '[379, 379, -5/3*w^3 + 31/3*w - 5/3]', '[389, 389, 5/3*w^3 + w^2 - 25/3*w - 16/3]', '[389, 389, -4/3*w^3 + w^2 + 20/3*w - 10/3]', '[401, 401, -1/3*w^3 - 3*w^2 + 5/3*w + 26/3]', '[401, 401, 1/3*w^3 + w^2 - 11/3*w - 23/3]', '[401, 401, -2/3*w^3 - 3*w^2 + 10/3*w + 52/3]', '[401, 401, 2/3*w^3 + w^2 - 16/3*w - 1/3]', '[409, 409, -2*w^3 - w^2 + 11*w + 2]', '[409, 409, -5/3*w^3 - 2*w^2 + 28/3*w + 37/3]', '[409, 409, 1/3*w^3 - 11/3*w - 17/3]', '[409, 409, 5/3*w^3 + 3*w^2 - 25/3*w - 37/3]', '[419, 419, -1/3*w^3 + 3*w^2 - 1/3*w - 37/3]', '[419, 419, 2*w^3 + 3*w^2 - 12*w - 13]', '[421, 421, -1/3*w^3 + 3*w^2 + 2/3*w - 31/3]', '[421, 421, -5/3*w^3 - w^2 + 25/3*w + 13/3]', '[421, 421, -w^3 + 7*w - 4]', '[421, 421, -4/3*w^3 + w^2 + 20/3*w - 13/3]', '[439, 439, -4/3*w^3 + w^2 + 14/3*w - 7/3]', '[439, 439, 4/3*w^3 - 17/3*w - 5/3]', '[439, 439, -7/3*w^3 - w^2 + 41/3*w + 17/3]', '[439, 439, 5/3*w^3 - 28/3*w - 4/3]', '[449, 449, w^3 + 3*w^2 - 6*w - 17]', '[449, 449, 1/3*w^3 + 3*w^2 - 8/3*w - 26/3]', '[449, 449, -4/3*w^3 + 26/3*w + 17/3]', '[449, 449, 7/3*w^3 + w^2 - 38/3*w - 8/3]', '[461, 461, -5/3*w^3 + w^2 + 28/3*w - 14/3]', '[461, 461, -2/3*w^3 - 2*w^2 + 10/3*w + 43/3]', '[461, 461, -2*w^3 - w^2 + 12*w + 4]', '[461, 461, -w^3 + 8*w - 5]', '[479, 479, w^3 + w^2 - 7*w - 2]', '[479, 479, -4/3*w^3 - w^2 + 23/3*w + 5/3]', '[499, 499, -4/3*w^3 - 2*w^2 + 23/3*w + 17/3]', '[499, 499, -4/3*w^3 - w^2 + 29/3*w + 8/3]', '[521, 521, 2*w^3 - 11*w + 2]', '[521, 521, 4/3*w^3 - w^2 - 14/3*w + 1/3]', '[569, 569, w^3 + 3*w^2 - 6*w - 9]', '[569, 569, 4/3*w^3 + w^2 - 26/3*w - 32/3]', '[569, 569, -w^3 + 6*w - 6]', '[569, 569, -1/3*w^3 - 3*w^2 + 8/3*w + 50/3]', '[571, 571, 2/3*w^3 + 3*w^2 - 10/3*w - 46/3]', '[571, 571, 2*w^2 - 15]', '[599, 599, -w^3 + 2*w^2 + 4*w - 10]', '[599, 599, -w^2 - 3*w + 8]', '[601, 601, 5/3*w^3 + 3*w^2 - 28/3*w - 34/3]', '[601, 601, 1/3*w^3 - 3*w^2 - 2/3*w + 43/3]', '[619, 619, 2/3*w^3 - w^2 - 13/3*w + 2/3]', '[619, 619, 2/3*w^3 + w^2 - 7/3*w - 25/3]', '[619, 619, 2*w^3 + w^2 - 11*w - 6]', '[619, 619, -2/3*w^3 + 13/3*w - 17/3]', '[631, 631, 2/3*w^3 + 2*w^2 - 19/3*w - 31/3]', '[631, 631, w^3 + 2*w^2 - 8*w - 6]', '[631, 631, 2/3*w^3 + 2*w^2 - 4/3*w - 31/3]', '[631, 631, -2/3*w^3 + 2*w^2 + 16/3*w - 23/3]', '[659, 659, -2/3*w^3 + 1/3*w + 16/3]', '[659, 659, 5/3*w^3 - 34/3*w - 13/3]', '[661, 661, w^3 - 8*w + 2]', '[661, 661, 4/3*w^3 + w^2 - 23/3*w + 1/3]', '[661, 661, 5/3*w^3 + w^2 - 31/3*w - 10/3]', '[661, 661, -3*w - 1]', '[691, 691, -4/3*w^3 + 29/3*w + 2/3]', '[691, 691, 1/3*w^3 + 4/3*w - 5/3]', '[691, 691, -5/3*w^3 + w^2 + 25/3*w - 5/3]', '[691, 691, 2*w^3 + w^2 - 10*w - 7]', '[701, 701, -2/3*w^3 - 3*w^2 + 19/3*w + 46/3]', '[701, 701, w^3 - 2*w^2 - 6*w + 8]', '[701, 701, 4/3*w^3 + 2*w^2 - 17/3*w - 29/3]', '[701, 701, 5/3*w^3 + 3*w^2 - 28/3*w - 52/3]', '[709, 709, 1/3*w^3 - 14/3*w + 10/3]', '[709, 709, -2/3*w^3 + 19/3*w + 7/3]', '[719, 719, 3*w^2 - w - 10]', '[719, 719, -4/3*w^3 - 3*w^2 + 23/3*w + 47/3]', '[739, 739, 5/3*w^3 + w^2 - 34/3*w - 10/3]', '[739, 739, 4/3*w^3 + 2*w^2 - 23/3*w - 14/3]', '[761, 761, 7/3*w^3 + 2*w^2 - 41/3*w - 26/3]', '[761, 761, 2*w^3 + 3*w^2 - 12*w - 15]', '[769, 769, -2/3*w^3 + 19/3*w - 8/3]', '[769, 769, -4/3*w^3 + 2*w^2 + 17/3*w - 31/3]', '[769, 769, 1/3*w^3 - 14/3*w - 5/3]', '[769, 769, -1/3*w^3 + 3*w^2 + 2/3*w - 34/3]', '[809, 809, -4/3*w^3 + w^2 + 26/3*w - 7/3]', '[809, 809, w^3 + w^2 - 3*w - 7]', '[811, 811, 4/3*w^3 + w^2 - 17/3*w - 23/3]', '[811, 811, -1/3*w^3 - 2*w^2 + 2/3*w + 38/3]', '[821, 821, 8/3*w^3 + 3*w^2 - 43/3*w - 34/3]', '[821, 821, 2/3*w^3 + 2*w^2 - 7/3*w - 34/3]', '[821, 821, -w^3 - w^2 + 4*w + 8]', '[821, 821, 2/3*w^3 + 4*w^2 - 7/3*w - 58/3]', '[829, 829, 4/3*w^3 + 3*w^2 - 26/3*w - 50/3]', '[829, 829, 7/3*w^3 - 41/3*w - 5/3]', '[839, 839, 2*w^3 + w^2 - 10*w - 3]', '[839, 839, 5/3*w^3 - w^2 - 25/3*w + 17/3]', '[841, 29, 5/3*w^3 - 25/3*w - 7/3]', '[859, 859, -7/3*w^3 - w^2 + 32/3*w + 29/3]', '[859, 859, 2*w^3 + w^2 - 14*w - 6]', '[859, 859, 1/3*w^3 + 2*w^2 - 2/3*w - 47/3]', '[859, 859, -5/3*w^3 - 2*w^2 + 31/3*w + 49/3]', '[881, 881, w^3 + 4*w^2 - 4*w - 20]', '[881, 881, 8/3*w^3 + 2*w^2 - 43/3*w - 34/3]', '[919, 919, -w^3 + 3*w - 7]', '[919, 919, 1/3*w^3 + 3*w^2 - 5/3*w - 35/3]', '[919, 919, -5/3*w^3 + 31/3*w - 23/3]', '[919, 919, 2/3*w^3 + 3*w^2 - 10/3*w - 43/3]', '[929, 929, w^2 - 2*w - 9]', '[929, 929, w^3 + w^2 - 7*w + 1]', '[961, 31, 2/3*w^3 - 10/3*w - 19/3]', '[971, 971, -w^3 - 3*w^2 + 7*w + 16]', '[971, 971, -5/3*w^3 + w^2 + 25/3*w - 8/3]', '[971, 971, 2*w^3 + w^2 - 10*w - 6]', '[971, 971, 1/3*w^3 + 2*w^2 - 8/3*w - 47/3]']}
84. label: 4.4.5744.1
    {'degree': 4, 'discriminant': 5744, 'ideals': ['[1, 1, 1]', '[4, 2, -w^3 + 4*w + 1]', '[5, 5, w - 1]', '[7, 7, -w^2 + w + 2]', '[13, 13, -w^3 + w^2 + 4*w]', '[13, 13, -w^2 + 3]', '[16, 2, 2]', '[17, 17, -w^2 + 2]', '[19, 19, -w^3 + 5*w]', '[20, 10, w^3 - w^2 - 5*w]', '[25, 25, w^3 - w^2 - 4*w - 1]', '[28, 14, -w^3 + w^2 + 3*w - 2]', '[31, 31, -w^2 + 2*w + 3]', '[35, 35, -w^3 + w^2 + 4*w - 4]', '[37, 37, -2*w^3 + w^2 + 8*w - 1]', '[43, 43, -w - 3]', '[49, 49, w^3 - w^2 - 5*w - 1]', '[52, 26, -w^2 - w + 3]', '[52, 26, -w^3 + 6*w + 1]', '[53, 53, -w^3 + 2*w^2 + 3*w - 2]', '[53, 53, w^3 - 6*w - 2]', '[59, 59, 2*w^3 - w^2 - 10*w - 2]', '[61, 61, 2*w^3 - w^2 - 10*w]', '[61, 61, 2*w^3 - w^2 - 8*w]', '[64, 4, -2*w^3 + 8*w + 2]', '[65, 65, -w^3 + w^2 + 3*w - 3]', '[65, 65, -w^3 + 3*w + 3]', '[68, 34, -w^2 + 3*w + 1]', '[71, 71, 2*w^3 - 9*w - 2]', '[73, 73, -w^3 - w^2 + 6*w + 3]', '[76, 38, w^3 - w^2 - 3*w + 4]', '[80, 10, 2*w - 2]', '[81, 3, -3]', '[83, 83, -w^3 + 2*w^2 + 3*w - 3]', '[85, 85, -2*w^3 + w^2 + 9*w + 2]', '[91, 91, -w^3 + 2*w^2 + 5*w - 3]', '[91, 91, -w^3 + 5*w + 5]', '[95, 95, -w^2 + 2*w + 4]', '[100, 50, -w^3 + 2*w^2 + 4*w - 5]', '[101, 101, 2*w^3 - 8*w - 3]', '[112, 14, -2*w^2 + 2*w + 4]', '[119, 119, w^3 - 2*w^2 - 2*w + 4]', '[124, 62, -w^3 + 2*w^2 + 4*w - 3]', '[125, 5, w^3 + w^2 - 4*w - 6]', '[125, 125, 2*w^2 - 2*w - 5]', '[127, 127, 2*w^3 - w^2 - 7*w - 2]', '[127, 127, w^3 - 7*w - 7]', '[131, 131, w^3 - 3*w - 4]', '[131, 131, 3*w^3 - 13*w - 7]', '[133, 133, -2*w^3 + 2*w^2 + 7*w + 1]', '[137, 137, w^2 + w - 4]', '[137, 137, -w^3 + 2*w^2 + 4*w - 4]', '[140, 70, w^3 + w^2 - 5*w - 2]', '[148, 74, 2*w^3 - w^2 - 9*w - 3]', '[149, 149, 3*w + 5]', '[155, 155, -w^3 + 2*w^2 + 5*w - 6]', '[157, 157, -2*w^3 - w^2 + 7*w + 2]', '[157, 157, -2*w^3 + 2*w^2 + 9*w - 1]', '[163, 163, -2*w^3 + w^2 + 7*w]', '[163, 163, -3*w^3 + w^2 + 15*w + 3]', '[163, 163, 2*w^3 - 7*w - 1]', '[163, 163, 2*w^3 - 11*w - 5]', '[167, 167, -2*w^3 + w^2 + 9*w - 4]', '[167, 167, w^3 - w^2 - 7*w + 1]', '[167, 167, w^3 - w^2 - 7*w - 1]', '[167, 167, w^2 - 2*w - 5]', '[169, 13, w^3 + w^2 - 6*w - 2]', '[169, 13, -2*w^3 + 9*w + 1]', '[169, 169, 2*w^3 - w^2 - 9*w - 4]', '[169, 169, -w + 4]', '[172, 86, 3*w^3 + w^2 - 11*w - 4]', '[173, 173, -3*w^3 + 13*w + 3]', '[175, 175, -2*w^2 - w + 3]', '[181, 181, 2*w^2 + w - 4]', '[185, 185, w + 4]', '[191, 191, 2*w^3 - 10*w - 1]', '[191, 191, -2*w^3 + 2*w^2 + 6*w - 3]', '[193, 193, 3*w^3 - 13*w - 6]', '[196, 98, w^3 - w^2 - w - 2]', '[197, 197, -w^3 + w^2 + 2*w - 3]', '[197, 197, w^3 + w^2 - 7*w - 7]', '[199, 199, -w^2 + 2*w + 6]', '[208, 26, -2*w^3 + 2*w^2 + 8*w]', '[208, 26, -2*w^2 + 6]', '[212, 106, w^3 - w^2 - 7*w]', '[212, 106, w^3 + 2*w^2 - 4*w - 7]', '[215, 215, -w^2 - 2*w + 3]', '[217, 217, 2*w^3 - 7*w - 2]', '[221, 221, -w^3 + 2*w^2 + w + 2]', '[221, 221, -w^3 - w^2 + 5*w + 1]', '[223, 223, -2*w^3 + w^2 + 11*w + 2]', '[227, 227, -3*w^3 + 2*w^2 + 15*w - 1]', '[229, 229, -w^3 + w^2 + 6*w - 5]', '[233, 233, 2*w^3 - 11*w - 4]', '[236, 118, w^3 + 3*w^2 - 3*w - 10]', '[239, 239, -2*w^3 + 11*w + 3]', '[244, 122, -w^3 + 3*w^2 + 5*w - 8]', '[244, 122, -w^3 + w^2 + 3*w - 6]', '[245, 245, 2*w^2 - w - 6]', '[247, 247, -3*w^3 + 2*w^2 + 14*w]', '[247, 247, 2*w^3 + w^2 - 10*w - 5]', '[251, 251, 2*w^3 - w^2 - 10*w - 4]', '[256, 4, 4]', '[257, 257, -2*w^3 + w^2 + 6*w + 1]', '[257, 257, w^3 - 7*w - 2]', '[259, 259, -w^3 + 7*w + 1]', '[260, 130, -w^3 - 2*w^2 + 6*w + 7]', '[260, 130, -w^3 + 4*w - 3]', '[263, 263, 2*w^3 - 9*w]', '[265, 265, 3*w^3 - 4*w^2 - 7*w + 3]', '[265, 265, -w^3 - w^2 + 6*w + 1]', '[269, 269, w^3 - 4*w - 6]', '[269, 269, -2*w^3 + 8*w - 3]', '[271, 271, 2*w^2 - w - 5]', '[272, 34, -2*w^2 + 4]', '[277, 277, -3*w^3 + 2*w^2 + 11*w - 2]', '[277, 277, 3*w^3 - w^2 - 15*w - 5]', '[281, 281, 2*w^2 - 5]', '[283, 283, -3*w^3 + 2*w^2 + 12*w + 2]', '[283, 283, -2*w^3 + w^2 + 6*w + 6]', '[284, 142, w^2 - 3*w - 9]', '[289, 289, 2*w^3 - 2*w^2 - 7*w + 5]', '[292, 146, -w^3 - w^2 + 7*w + 8]', '[293, 293, -2*w^3 - w^2 + 12*w + 7]', '[293, 293, -2*w^3 + 9*w - 1]', '[295, 295, -3*w^3 + w^2 + 12*w]', '[301, 301, w^3 + 2*w^2 - 5*w - 6]', '[304, 38, -2*w^3 + 10*w]', '[305, 305, -3*w^3 + w^2 + 14*w - 2]', '[305, 305, -3*w^3 + 3*w^2 + 12*w - 2]', '[311, 311, -3*w^3 + w^2 + 12*w + 4]', '[313, 313, -w^3 + w^2 + 2*w - 4]', '[313, 313, -4*w^3 + 2*w^2 + 16*w - 3]', '[320, 20, 2*w^3 - 2*w^2 - 10*w]', '[323, 323, -2*w^3 + 2*w^2 + 9*w]', '[324, 6, 3*w^3 - 12*w - 3]', '[325, 325, 2*w^3 + w^2 - 9*w - 4]', '[325, 325, -2*w^3 - w^2 + 12*w + 6]', '[331, 331, 3*w^3 - w^2 - 16*w - 5]', '[331, 331, 2*w^3 - 2*w^2 - 8*w - 1]', '[332, 166, 2*w^3 - w^2 - 11*w - 1]', '[340, 170, 2*w^3 + w^2 - 7*w - 1]', '[343, 7, 2*w^3 - 3*w^2 - 9*w + 6]', '[343, 343, 3*w^3 - 2*w^2 - 11*w - 1]', '[355, 355, -2*w^3 + w^2 + 11*w]', '[359, 359, -2*w^3 + 10*w - 1]', '[361, 361, 3*w^3 - w^2 - 14*w - 5]', '[364, 182, -w^2 + 3*w + 5]', '[364, 182, -w^3 + 2*w^2 + 6*w - 5]', '[365, 365, 2*w^2 - 5*w - 2]', '[367, 367, -w^3 + 2*w^2 + w - 4]', '[367, 367, 3*w^3 - 11*w - 1]', '[371, 371, 2*w^3 - 4*w^2 - 3*w - 1]', '[371, 371, 3*w^3 - w^2 - 11*w - 5]', '[373, 373, -w^3 + w^2 + 2*w - 5]', '[373, 373, 2*w^3 - 2*w^2 - 11*w - 1]', '[380, 190, -2*w^3 + 3*w^2 + 9*w - 5]', '[389, 389, -2*w^3 + 3*w^2 + 8*w - 6]', '[400, 50, 2*w^3 - 2*w^2 - 8*w - 2]', '[403, 403, -2*w^3 + w^2 + 6*w - 4]', '[403, 403, 3*w^3 - 2*w^2 - 11*w + 1]', '[404, 202, w^3 - 8*w - 9]', '[405, 15, -3*w + 3]', '[409, 409, 3*w^3 - 2*w^2 - 13*w - 1]', '[413, 413, 3*w^3 + w^2 - 14*w - 7]', '[415, 415, 3*w^3 - 4*w^2 - 8*w + 4]', '[419, 419, 3*w^3 - w^2 - 12*w - 1]', '[419, 419, w^3 - w^2 - 4*w - 4]', '[425, 425, 3*w^3 - 2*w^2 - 11*w]', '[427, 427, 3*w^3 - w^2 - 12*w - 3]', '[427, 427, w^3 + w^2 - 8*w - 3]', '[439, 439, w^2 + 2*w - 4]', '[439, 439, 3*w^3 + w^2 - 11*w - 5]', '[443, 443, 2*w^3 + 2*w^2 - 7*w - 8]', '[448, 28, -2*w^3 + 2*w^2 + 6*w - 4]', '[449, 449, 4*w^3 - w^2 - 16*w - 8]', '[455, 455, 4*w^3 - 3*w^2 - 18*w + 2]', '[455, 455, w^3 - 2*w - 4]', '[457, 457, 2*w^3 + w^2 - 11*w - 4]', '[461, 461, -5*w^3 + 2*w^2 + 24*w + 2]', '[463, 463, -w^3 + 3*w^2 + 6*w - 5]', '[467, 467, w^3 - 3*w^2 - 6*w + 4]', '[467, 467, 3*w^3 - w^2 - 12*w - 2]', '[475, 475, -w^3 + 3*w^2 + 2*w - 4]', '[476, 238, -3*w^3 + 14*w + 3]', '[479, 479, -w^3 + w^2 + 4*w - 6]', '[479, 479, -w^3 + 2*w + 8]', '[481, 481, 2*w^2 - 3*w - 7]', '[481, 481, 3*w^3 - 12*w - 4]', '[491, 491, -w^3 + 2*w^2 + 2*w - 6]', '[491, 491, w - 5]', '[496, 62, -2*w^2 + 4*w + 6]', '[497, 497, 3*w^3 - w^2 - 14*w - 6]', '[499, 499, 2*w^3 + w^2 - 10*w - 4]', '[500, 10, 3*w^3 - 2*w^2 - 12*w - 3]', '[500, 250, w^2 + w + 3]', '[505, 505, -2*w^3 + 2*w^2 + 9*w + 1]', '[508, 254, w^3 - 6*w - 7]', '[508, 254, 3*w^3 - 12*w - 5]', '[509, 509, -4*w^3 + w^2 + 20*w + 5]', '[511, 511, -4*w^3 + 3*w^2 + 14*w + 6]', '[521, 521, w^3 - w + 6]', '[523, 523, -4*w^3 + 18*w + 5]', '[523, 523, -2*w^3 - 2*w^2 + 9*w + 12]', '[524, 262, 3*w^3 - w^2 - 15*w - 6]', '[524, 262, 4*w^3 + w^2 - 21*w - 17]', '[527, 527, w^3 - 3*w^2 - 2*w + 6]', '[532, 266, -w^3 - w^2 + 3*w + 6]', '[548, 274, 3*w^3 - 2*w^2 - 16*w - 3]', '[548, 274, 3*w^3 - 2*w^2 - 16*w - 1]', '[557, 557, w^2 - 3*w - 6]', '[559, 559, 2*w^3 - 2*w^2 - 10*w - 1]', '[559, 559, w^3 + 3*w^2 - 3*w - 9]', '[560, 70, -2*w^3 + 2*w^2 + 8*w - 8]', '[567, 21, 3*w^2 - 3*w - 6]', '[571, 571, 3*w^3 - 11*w - 8]', '[577, 577, 2*w^3 + 2*w^2 - 11*w - 7]', '[577, 577, -3*w^3 + 4*w^2 + 11*w - 6]', '[581, 581, 2*w^3 - 3*w^2 - 4*w - 3]', '[587, 587, -w^3 - w^2 + 7*w + 11]', '[589, 589, -3*w^3 + 2*w^2 + 10*w + 2]', '[592, 74, -4*w^3 + 2*w^2 + 16*w - 2]', '[593, 593, w^3 + w^2 - 8*w - 8]', '[593, 593, -2*w^3 + 4*w^2 + 6*w - 9]', '[595, 595, -2*w^3 - 2*w^2 + 12*w + 7]', '[596, 298, -2*w^3 - w^2 + 9*w + 3]', '[599, 599, 4*w^3 - 17*w - 9]', '[599, 599, w^3 + w^2 - 6*w - 10]', '[601, 601, 3*w^2 - 10]', '[607, 607, 4*w^3 - w^2 - 18*w - 8]', '[619, 619, w^2 - w - 8]', '[620, 310, w^3 - 8*w - 3]', '[625, 5, 5]', '[625, 625, -w^2 + 3*w + 8]', '[628, 314, w^3 - w^2 - w + 4]', '[628, 314, w^3 - 3*w^2 - 7*w + 6]', '[629, 629, -2*w^3 + 2*w^2 + 12*w - 1]', '[635, 635, -3*w^3 + 4*w^2 + 9*w]', '[635, 635, -w^3 - 2*w^2 + 2*w + 6]', '[637, 637, 3*w^2 - 5*w - 2]', '[637, 637, -w^2 - 3]', '[641, 641, -w^3 + 3*w^2 + 2*w - 10]', '[643, 643, 3*w^3 - w^2 - 16*w + 1]', '[652, 326, w^3 - 2*w + 5]', '[652, 326, w^3 - 3*w^2 - 3*w + 8]', '[652, 326, -w^3 - w^2 - w - 6]', '[652, 326, 3*w^3 + 3*w^2 - 13*w - 14]', '[653, 653, -2*w^3 + 2*w^2 + 9*w + 3]', '[655, 655, -3*w^3 + 2*w^2 + 12*w + 4]', '[655, 655, -w^3 + 2*w^2 + w + 3]', '[665, 665, 3*w^3 - 11*w - 2]', '[668, 334, 5*w^3 - 2*w^2 - 20*w + 3]', '[668, 334, -w^3 + 4*w^2 + 8*w - 5]', '[668, 334, -w^3 + 3*w^2 + 3*w - 4]', '[668, 334, 4*w^3 + w^2 - 17*w - 7]', '[676, 26, 2*w^3 - 3*w^2 - 5*w + 5]', '[676, 26, w^2 - 3*w - 7]', '[676, 338, -3*w^3 + w^2 + 11*w]', '[676, 338, -4*w^3 + w^2 + 17*w + 3]', '[677, 677, w^3 + w^2 - 8*w - 11]', '[677, 677, 2*w^3 - w^2 - 12*w - 3]', '[683, 683, 3*w^3 - 2*w^2 - 13*w - 2]', '[683, 683, 3*w^3 + 2*w^2 - 16*w - 10]', '[685, 685, w^3 - 5*w + 4]', '[685, 685, 3*w^3 - 3*w^2 - 10*w + 5]', '[688, 86, -2*w - 6]', '[689, 689, 3*w^2 - 5*w]', '[689, 689, -w^3 + 4*w - 4]', '[689, 689, -w^3 + 2*w^2 + w - 5]', '[689, 689, 4*w^3 - 17*w - 6]', '[691, 691, -2*w^3 - 2*w^2 + 12*w + 15]', '[691, 691, 3*w^3 - 2*w^2 - 15*w - 2]', '[691, 691, w^3 - 2*w^2 - 6*w + 6]', '[691, 691, -4*w^3 + 3*w^2 + 15*w - 2]', '[692, 346, w^3 - 2*w^2 - 2*w + 7]', '[700, 350, w^3 - 4*w - 7]', '[703, 703, 3*w^3 - w^2 - 16*w - 4]', '[707, 707, 2*w^3 + w^2 - 13*w - 8]', '[719, 719, 2*w^3 - 7*w - 8]', '[719, 719, w^2 + 2*w - 5]', '[724, 362, 2*w^3 - 3*w^2 - 15*w - 3]', '[727, 727, -w^3 + 3*w^2 + 4*w - 8]', '[727, 727, 2*w^3 - 9*w - 9]', '[731, 731, w^3 + 3*w^2 - 2*w - 6]', '[733, 733, w^3 - 8*w - 2]', '[739, 739, -w^3 - 2*w^2 + 4*w + 10]', '[740, 370, -3*w^3 + 2*w^2 + 10*w + 1]', '[743, 743, w^3 - w^2 - 2*w + 8]', '[743, 743, 4*w^3 - w^2 - 17*w - 4]', '[745, 745, 3*w^2 + 2*w - 5]', '[751, 751, -2*w^3 + 2*w^2 + 6*w - 5]', '[751, 751, w^3 - 5*w - 7]', '[764, 382, -w^3 + 2*w^2 + 2*w - 9]', '[764, 382, 3*w^3 - 12*w + 1]', '[767, 767, 6*w^3 - 26*w - 7]', '[767, 767, -w^3 + w^2 + 3*w - 7]', '[769, 769, 3*w^3 - 2*w^2 - 10*w]', '[772, 386, 3*w^3 + w^2 - 17*w - 16]', '[775, 775, 3*w^3 - 2*w^2 - 13*w + 7]', '[784, 98, 2*w^3 - 2*w^2 - 10*w - 2]', '[785, 785, w^3 - 2*w^2 - 9*w]', '[785, 785, 4*w^3 - 3*w^2 - 14*w + 3]', '[787, 787, -2*w^3 + 3*w^2 + 8*w]', '[787, 787, 3*w^3 - w^2 - 10*w - 4]', '[788, 394, 3*w^3 + w^2 - 11*w - 2]', '[788, 394, 5*w^3 + 2*w^2 - 22*w - 13]', '[793, 793, -w^3 + w^2 + 7*w - 5]', '[793, 793, -3*w^3 + 3*w^2 + 11*w - 7]', '[793, 793, 4*w^3 - 2*w^2 - 20*w - 1]', '[793, 793, 6*w^3 - 2*w^2 - 26*w - 1]', '[796, 398, -2*w^3 - w^2 + 11*w + 3]', '[809, 809, 3*w^3 + w^2 - 16*w - 6]', '[811, 811, 3*w^3 - 14*w - 2]', '[811, 811, -w^3 + 3*w^2 + 5*w - 5]', '[811, 811, w^3 - 2*w - 6]', '[811, 811, 3*w^3 - w^2 - 11*w - 3]', '[815, 815, -2*w^3 + 3*w^2 + 10*w - 1]', '[815, 815, -2*w^3 - w^2 + 10*w + 3]', '[815, 815, 4*w^3 - w^2 - 18*w]', '[815, 815, 3*w^3 - 4*w^2 - 11*w + 2]', '[817, 817, 3*w^3 - 13*w - 1]', '[823, 823, w^3 + 2*w^2 - 3*w - 8]', '[827, 827, -w^3 + 3*w^2 + 3*w - 7]', '[829, 829, w^3 + w^2 - 3*w - 7]', '[832, 52, -2*w^2 - 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w^2 + 19*w + 8]', '[1681, 41, 2*w^2 + w - 11]', '[1697, 1697, -3*w^3 + 2*w^2 + 13*w - 8]', '[1697, 1697, -w^3 + 4*w^2 + w - 6]', '[1699, 1699, 3*w^3 - 2*w^2 - 14*w - 6]', '[1700, 850, -w^3 + w^2 + 3*w - 8]', '[1703, 1703, 4*w^3 - 3*w^2 - 13*w - 2]', '[1703, 1703, w^3 + 2*w^2 - 8*w - 12]', '[1703, 1703, 3*w^3 - 11*w - 10]', '[1703, 1703, 7*w^3 + w^2 - 36*w - 21]', '[1708, 854, -6*w^3 + 5*w^2 + 27*w - 5]', '[1708, 854, -4*w^3 + w^2 + 19*w - 3]', '[1709, 1709, w^2 + 3*w - 12]', '[1715, 35, -5*w^3 + 4*w^2 + 19*w - 8]', '[1715, 1715, 3*w^3 - w^2 - 12*w - 10]', '[1717, 1717, 2*w^3 - w^2 - 14*w - 6]', '[1721, 1721, 3*w^3 - 3*w^2 - 14*w]', '[1721, 1721, 5*w^3 - 26*w - 12]', '[1723, 1723, 6*w^3 + w^2 - 28*w - 13]', '[1729, 1729, 3*w + 8]', '[1729, 1729, -3*w^3 - w^2 + 15*w + 5]', '[1733, 1733, 4*w^3 - 2*w^2 - 17*w - 7]', '[1747, 1747, 2*w^3 - w^2 - 7*w - 8]', '[1753, 1753, -6*w^3 + w^2 + 27*w + 14]', '[1756, 878, 3*w^3 - 3*w^2 - 17*w - 2]', '[1756, 878, w^3 - w^2 - 5*w - 6]', '[1757, 1757, 3*w^3 + 3*w^2 - 16*w - 11]', '[1759, 1759, 4*w - 5]', '[1772, 886, 3*w^3 - 2*w^2 - 14*w - 5]', '[1775, 1775, -w^3 - 3*w^2 + 5*w + 9]', '[1781, 1781, 3*w^3 - 15*w + 1]', '[1781, 1781, -2*w^3 + 2*w^2 + 7*w - 10]', '[1781, 1781, 4*w^3 - 2*w^2 - 15*w]', '[1781, 1781, -w^3 + 2*w^2 + w - 11]', '[1783, 1783, 2*w^3 - 13*w - 5]', '[1792, 28, -4*w^2 + 4*w + 8]', '[1795, 1795, 2*w^3 - 15*w + 3]', '[1796, 898, 5*w^3 + w^2 - 25*w - 20]', '[1799, 1799, w^3 - 4*w^2 + 5*w + 5]', '[1799, 1799, 4*w^3 - 2*w^2 - 13*w - 5]', '[1801, 1801, -2*w^3 + 4*w^2 + 7*w - 6]', '[1805, 1805, -4*w^3 + 2*w^2 + 15*w + 2]', '[1813, 1813, -w^3 + 3*w^2 + 8*w - 6]', '[1820, 910, -5*w^3 + w^2 + 21*w + 8]', '[1820, 910, 3*w^3 - 2*w^2 - 16*w - 5]', '[1825, 1825, 5*w^2 - 6*w - 9]', '[1828, 914, w^3 + 2*w^2 - 8*w - 13]', '[1829, 1829, 4*w^3 - 22*w - 11]', '[1831, 1831, 2*w^3 - 13*w - 1]', '[1831, 1831, 4*w^3 - 4*w^2 - 21*w + 8]', '[1835, 1835, 3*w^3 - 6*w^2 - 7*w + 5]', '[1835, 1835, -3*w^3 + 4*w^2 + 16*w - 2]', '[1841, 1841, 3*w^3 - 3*w^2 - 12*w - 2]', '[1844, 922, w^3 - 6*w^2 - 4*w + 21]', '[1847, 1847, 4*w^3 + w^2 - 20*w - 8]', '[1849, 1849, -4*w^3 + 4*w^2 + 15*w - 13]', '[1852, 926, 3*w^3 - 5*w^2 - 21*w]', '[1855, 1855, 4*w^3 - 5*w^2 - 17*w + 8]', '[1855, 1855, -5*w^3 + 2*w^2 + 25*w + 3]', '[1861, 1861, w^3 + 4*w^2 - 5*w - 16]', '[1865, 1865, -4*w^3 + w^2 + 14*w - 1]', '[1865, 1865, 2*w^3 - 4*w^2 - 9*w + 6]', '[1868, 934, -2*w^3 + 5*w^2 + 17*w - 1]', '[1868, 934, w^2 - 3*w - 11]', '[1871, 1871, -4*w^3 + 4*w^2 + 20*w - 9]', '[1873, 1873, -2*w^3 + 4*w^2 + 7*w - 8]', '[1873, 1873, w^2 - 2*w - 10]', '[1877, 1877, 2*w^3 + 2*w^2 - 11*w - 5]', '[1879, 1879, 4*w^3 - w^2 - 15*w - 6]', '[1883, 1883, w^3 + 5*w^2 - 11*w - 13]', '[1883, 1883, -2*w^3 + 5*w^2 + 7*w - 4]', '[1889, 1889, w^3 - 2*w^2 - 3*w - 4]', '[1891, 1891, 4*w^3 - 2*w^2 - 18*w - 5]', '[1891, 1891, 2*w^3 + 2*w^2 - 12*w - 5]', '[1897, 1897, 3*w^3 - 2*w^2 - 11*w - 8]', '[1900, 950, 2*w^3 - w^2 - 13*w - 3]', '[1901, 1901, -2*w^3 - w^2 + 14*w + 2]', '[1901, 1901, -w^3 + 4*w^2 + w - 8]', '[1904, 238, 2*w^3 - 4*w^2 - 4*w + 8]', '[1907, 1907, -w^3 + 4*w^2 + w - 7]', '[1916, 958, 6*w^3 - w^2 - 25*w - 3]', '[1916, 958, -7*w^3 + 2*w^2 + 32*w + 9]', '[1919, 1919, -w^3 + 2*w^2 + w - 8]', '[1924, 962, 4*w^3 - 5*w^2 - 17*w + 9]', '[1924, 962, w^3 - w^2 - 3*w - 6]', '[1931, 1931, 3*w^3 - w^2 - 17*w + 1]', '[1931, 1931, 2*w^2 + 3*w - 6]', '[1937, 1937, -w^3 - w^2 + 2*w + 7]', '[1937, 1937, -2*w^3 + 2*w^2 + 14*w + 3]', '[1939, 1939, -2*w^2 + 7*w + 1]', '[1939, 1939, 5*w^3 + 2*w^2 - 24*w - 14]', '[1945, 1945, 5*w^3 - 5*w^2 - 18*w + 8]', '[1949, 1949, 5*w^3 - 3*w^2 - 21*w - 3]', '[1949, 1949, -5*w^3 + 4*w^2 + 21*w - 12]', '[1961, 1961, -2*w^3 + 4*w^2 + 9*w - 8]', '[1961, 1961, 3*w^3 - 2*w^2 - 18*w + 4]', '[1964, 982, 5*w^3 - 22*w - 5]', '[1964, 982, 5*w^3 - w^2 - 21*w - 4]', '[1967, 1967, 2*w^3 - w^2 - 9*w - 8]', '[1981, 1981, 6*w^3 - 3*w^2 - 20*w - 10]', '[1981, 1981, 3*w^3 - 17*w - 4]', '[1984, 124, -2*w^3 + 4*w^2 + 8*w - 6]', '[1987, 1987, -2*w^3 + 2*w^2 + 5*w - 6]', '[1987, 1987, -4*w^3 - w^2 + 23*w + 6]', '[1988, 994, -5*w^3 + 2*w^2 + 20*w - 1]', '[1993, 1993, -2*w^3 + w^2 + 10*w - 7]', '[1996, 998, w^3 + w^2 - 9*w - 12]', '[1999, 1999, 5*w^3 - 4*w^2 - 18*w - 4]', '[1999, 1999, -4*w^3 + 3*w^2 + 21*w - 2]', '[2000, 10, 2*w^3 + 2*w^2 - 8*w - 12]', '[2000, 250, 4*w^2 - 4*w - 10]', '[2003, 2003, w^3 - 3*w^2 - 4*w - 3]', '[2015, 2015, 6*w^3 - 3*w^2 - 25*w + 2]', '[2015, 2015, w^3 - w^2 - 4*w - 6]', '[2017, 2017, -6*w^3 - w^2 + 26*w + 13]', '[2020, 1010, -w^3 - 3*w^2 + w + 8]', '[2023, 2023, -w^3 + w + 6]', '[2025, 75, -3*w^3 + 3*w^2 + 12*w + 3]', '[2027, 2027, -2*w^3 + 3*w^2 + 6*w - 10]', '[2032, 254, 4*w^3 - 2*w^2 - 14*w - 4]', '[2032, 254, 2*w^3 - 14*w - 14]', '[2036, 1018, 2*w^3 + 5*w^2 - 9*w - 21]', '[2039, 2039, -2*w^3 + 4*w^2 + 9*w - 7]', '[2041, 2041, -5*w^3 + w^2 + 21*w - 1]', '[2041, 2041, -4*w^2 - 3*w + 6]', '[2041, 2041, -3*w^3 + 3*w^2 + 13*w + 1]', '[2041, 2041, 2*w^3 - 10*w + 5]', '[2044, 1022, 4*w^3 - 3*w^2 - 13*w - 1]', '[2045, 2045, -5*w^3 + 4*w^2 + 18*w - 2]', '[2051, 2051, -7*w^3 + 2*w^2 + 27*w + 15]', '[2051, 2051, -3*w^3 + 4*w^2 + 11*w]', '[2053, 2053, 2*w^3 + 3*w^2 - 7*w - 12]', '[2053, 2053, -3*w^3 + 6*w^2 + 9*w - 14]', '[2063, 2063, 3*w^3 - 17*w - 5]', '[2065, 2065, -9*w^3 + 5*w^2 + 43*w + 1]', '[2075, 2075, -4*w^2 + 6*w + 3]', '[2081, 2081, -w^3 + 3*w^2 - 8]', '[2081, 2081, -w^3 + 4*w^2 + 6*w - 8]', '[2084, 1042, -4*w^3 + w^2 + 15*w + 1]', '[2089, 2089, 2*w^3 - 13*w - 2]', '[2092, 1046, -w^3 - 2*w^2 + 10*w + 19]', '[2092, 1046, -5*w^3 + 2*w^2 + 22*w + 7]', '[2095, 2095, -2*w^3 + 2*w^2 + 2*w + 3]', '[2095, 2095, -4*w^3 + 4*w^2 + 17*w - 2]', '[2096, 262, 2*w^3 - 6*w - 8]', '[2096, 262, 6*w^3 - 26*w - 14]', '[2099, 2099, -w^3 + w^2 + 4*w - 8]', '[2107, 2107, -2*w^3 + 3*w^2 + 14*w + 4]', '[2108, 1054, -4*w^3 + w^2 + 21*w + 5]', '[2119, 2119, -5*w + 4]', '[2119, 2119, 7*w^3 + w^2 - 31*w - 15]', '[2119, 2119, -3*w^3 + 2*w^2 + 17*w + 1]', '[2119, 2119, 2*w^2 + 4*w - 5]', '[2119, 2119, 2*w^3 - 3*w^2 - 6*w + 11]', '[2119, 2119, 3*w^3 - 3*w^2 - 19*w - 3]', '[2119, 2119, 2*w^2 - 4*w - 9]', '[2119, 2119, -6*w^3 + 3*w^2 + 25*w + 2]', '[2125, 85, -3*w^3 + 7*w^2 + 2*w - 7]', '[2125, 2125, 2*w^3 - w^2 - 8*w - 8]', '[2128, 266, -4*w^3 + 4*w^2 + 14*w + 2]', '[2129, 2129, w^3 - w^2 + 9]', '[2129, 2129, w^2 + 3*w - 6]', '[2131, 2131, 4*w^3 - 3*w^2 - 16*w - 3]', '[2135, 2135, -11*w^3 + 7*w^2 + 51*w - 7]', '[2135, 2135, -9*w^3 + 5*w^2 + 39*w - 5]', '[2143, 2143, w - 7]', '[2153, 2153, 3*w^3 + w^2 - 14*w - 4]', '[2153, 2153, 3*w^3 + w^2 - 13*w - 3]', '[2159, 2159, 4*w^2 - 3*w - 7]', '[2159, 2159, w^3 + w^2 - 10*w - 5]', '[2171, 2171, 6*w^3 - 6*w^2 - 25*w + 6]', '[2171, 2171, 2*w^3 - 13*w - 3]', '[2171, 2171, 4*w^3 - 3*w^2 - 13*w]', '[2171, 2171, 5*w^3 - w^2 - 18*w + 2]', '[2171, 2171, -2*w^3 + w^2 + 4*w - 5]', '[2171, 2171, -5*w^3 + 6*w^2 + 23*w - 11]', '[2171, 2171, -4*w^3 + 3*w^2 + 12*w - 5]', '[2171, 2171, 2*w^3 + 3*w^2 - 8*w - 14]', '[2177, 2177, -2*w^3 - 4*w^2 + 17*w + 12]', '[2179, 2179, -5*w^3 + w^2 + 26*w + 9]', '[2179, 2179, -w^3 + 2*w^2 + w - 10]', '[2183, 2183, -4*w^3 + 6*w^2 + 20*w - 13]', '[2191, 2191, -2*w^3 + w^2 + 13*w]', '[2191, 2191, 2*w^3 - 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3*w^2 - 26*w + 1]', '[5239, 5239, 3*w^3 - 3*w^2 - 12*w + 13]', '[5252, 2626, 4*w^3 - 3*w^2 - 23*w - 7]', '[5252, 2626, w^3 + 4*w^2 - 6*w - 13]', '[5257, 5257, 2*w^3 + 5*w^2 - 14*w - 15]', '[5257, 5257, 2*w^3 - w^2 - 3*w - 6]', '[5260, 2630, 3*w^3 - 6*w^2 - 16*w + 9]', '[5263, 5263, 8*w^3 - 7*w^2 - 30*w + 11]', '[5263, 5263, -w^3 + 5*w^2 + 4*w - 15]', '[5265, 195, 3*w^3 - 3*w^2 - 9*w + 9]', '[5265, 195, 3*w^3 - 9*w - 9]', '[5273, 5273, w^3 + 3*w^2 - 9*w - 19]', '[5276, 2638, -5*w^3 + 4*w^2 + 16*w - 7]', '[5276, 2638, 7*w^3 - 2*w^2 - 30*w - 7]', '[5279, 5279, w^3 - 7*w - 11]', '[5279, 5279, 5*w - 8]', '[5287, 5287, -3*w^3 - w^2 + 19*w + 9]', '[5296, 662, 6*w^3 - 2*w^2 - 32*w - 10]', '[5296, 662, 4*w^3 - 4*w^2 - 16*w - 2]', '[5297, 5297, 2*w^3 + 4*w^2 - 11*w - 14]', '[5297, 5297, 3*w^3 - 5*w^2 - 18*w + 9]', '[5300, 2650, 3*w^3 - w^2 - 15*w + 8]', '[5300, 2650, -7*w^3 + 2*w^2 + 30*w + 5]', '[5312, 332, 4*w^3 - 2*w^2 - 22*w - 2]', '[5317, 5317, 7*w^3 - w^2 - 32*w - 5]', '[5317, 5317, -w^3 + 7*w - 8]', '[5321, 5321, -4*w^3 + 5*w^2 + 24*w - 4]', '[5321, 5321, w^3 + 3*w^2 + w - 7]', '[5329, 5329, 5*w^3 - 3*w^2 - 24*w - 4]', '[5332, 2666, w^3 - 5*w^2 - 7*w + 8]', '[5333, 5333, -6*w^3 - w^2 + 24*w + 10]', '[5333, 5333, 4*w^3 - 2*w^2 - 22*w + 1]', '[5333, 5333, -2*w^3 + 5*w^2 + 6*w - 10]', '[5333, 5333, -5*w^3 + 6*w^2 + 19*w - 19]', '[5339, 5339, 5*w^3 - 4*w^2 - 23*w]', '[5347, 5347, -9*w^3 + 5*w^2 + 38*w - 5]', '[5347, 5347, 6*w^3 - 28*w - 7]', '[5348, 2674, 3*w^3 + w^2 - 17*w + 6]', '[5348, 2674, -7*w^3 + 5*w^2 + 27*w - 4]', '[5353, 5353, 4*w^3 - 19*w + 1]', '[5353, 5353, 2*w^3 + w^2 - 10*w - 15]', '[5363, 5363, -7*w^3 + 7*w^2 + 20*w + 4]', '[5369, 5369, -8*w^3 + w^2 + 31*w - 2]', '[5369, 5369, 8*w^3 - w^2 - 41*w - 20]', '[5375, 215, 4*w^3 + 4*w^2 - 16*w - 19]', '[5375, 5375, -2*w^3 - 4*w^2 + 11*w + 15]', '[5377, 5377, -8*w^3 + w^2 + 40*w + 14]', '[5377, 5377, 3*w^3 - w^2 - 8*w - 8]', '[5380, 2690, -5*w^3 + 3*w^2 + 23*w + 4]', '[5380, 2690, -5*w^3 + 9*w^2 + 29*w - 8]', '[5381, 5381, -w^3 - 2*w^2 + 14*w + 10]', '[5381, 5381, 3*w^3 + w^2 - 16*w]', '[5383, 5383, -w^3 + 5*w^2 - 7*w - 5]', '[5387, 5387, 2*w^3 + 5*w^2 - 9*w - 20]', '[5387, 5387, 6*w^3 + w^2 - 28*w - 11]', '[5393, 5393, 4*w^3 - w^2 - 22*w - 4]', '[5395, 5395, 2*w^3 - 2*w^2 - 13*w + 8]', '[5395, 5395, -2*w^3 + 5*w^2 - 8]', '[5396, 2698, 9*w^3 - 2*w^2 - 38*w - 3]', '[5399, 5399, 3*w^3 - w^2 - 18*w - 2]', '[5404, 2702, -4*w^3 - w^2 + 19*w + 5]', '[5413, 5413, -9*w^3 + 7*w^2 + 41*w - 7]', '[5413, 5413, w^3 + 4*w^2 - 5*w - 12]', '[5419, 5419, -4*w^3 + 6*w^2 + 15*w - 11]', '[5419, 5419, 3*w^3 - w^2 - 19*w - 7]', '[5420, 2710, -4*w^3 - w^2 + 17*w + 3]', '[5425, 5425, 2*w^3 - 5*w^2 - 6*w + 9]', '[5431, 5431, w^3 + 4*w^2 - 5*w - 11]', '[5431, 5431, w^2 + 6*w - 5]', '[5440, 340, 4*w^3 + 2*w^2 - 14*w - 2]', '[5441, 5441, 6*w^3 - 25*w - 10]', '[5441, 5441, 4*w^3 - w^2 - 22*w - 3]', '[5443, 5443, -4*w^3 + 4*w^2 + 14*w - 11]', '[5444, 2722, 4*w^3 + 5*w^2 - 15*w - 17]', '[5444, 2722, w^3 - w^2 - 3*w + 10]', '[5447, 5447, -w^3 + 2*w^2 + 8*w - 8]', '[5447, 5447, 6*w^3 - 3*w^2 - 31*w - 4]', '[5447, 5447, 4*w^3 - 5*w^2 - 14*w - 2]', '[5447, 5447, 2*w^3 + 4*w^2 - 9*w - 13]', '[5449, 5449, -6*w^3 + 2*w^2 + 27*w + 11]', '[5455, 5455, 3*w^3 - 6*w^2 - 9*w + 7]', '[5461, 5461, 6*w^3 - w^2 - 29*w - 2]', '[5461, 5461, -3*w^3 + 5*w^2 + 9*w - 13]', '[5465, 5465, 6*w^3 - 4*w^2 - 21*w + 4]', '[5476, 2738, -w^3 + 3*w^2 + 7*w - 10]', '[5477, 5477, -7*w^3 + 4*w^2 + 28*w + 2]', '[5479, 5479, -4*w^3 + 6*w^2 + 15*w - 9]', '[5479, 5479, 4*w^3 - 4*w^2 - 19*w]', '[5483, 5483, 5*w^3 - 4*w^2 - 26*w - 2]', '[5483, 5483, w^3 + 5*w^2 - 5*w - 19]', '[5485, 5485, -6*w^2 + 11*w + 5]', '[5488, 14, 4*w^3 - 6*w^2 - 18*w + 12]', '[5488, 686, 6*w^3 - 4*w^2 - 22*w - 2]', '[5491, 5491, -3*w^3 - 2*w^2 + 12*w + 2]', '[5495, 5495, 4*w^3 - 11*w - 3]', '[5495, 5495, 10*w^3 - 8*w^2 - 46*w + 9]', '[5501, 5501, 7*w^3 - 2*w^2 - 30*w - 6]', '[5501, 5501, -2*w^3 - 2*w^2 + 12*w + 19]', '[5503, 5503, -2*w^3 - 4*w^2 + 7*w + 16]', '[5507, 5507, -6*w^3 + 7*w^2 + 28*w - 17]', '[5508, 102, 3*w^2 - 9*w - 3]', '[5509, 5509, w^3 - 7*w^2 + 4*w + 5]', '[5509, 5509, 6*w^2 - 13*w - 12]', '[5513, 5513, 2*w^3 + 4*w^2 - 10*w - 13]', '[5515, 5515, -4*w^3 + 6*w^2 + 13*w]', '[5516, 2758, 2*w^3 + w^2 - 9*w + 5]', '[5516, 2758, -w^3 + w^2 + 5*w + 8]', '[5521, 5521, -5*w^3 + w^2 + 24*w - 3]', '[5525, 5525, 5*w^3 - 2*w^2 - 26*w - 2]', '[5525, 5525, -6*w^3 + w^2 + 24*w + 11]', '[5527, 5527, -5*w^3 + w^2 + 19*w + 3]', '[5531, 5531, 5*w^3 - 7*w^2 - 24*w + 10]', '[5531, 5531, 2*w^3 - 4*w - 7]', '[5540, 2770, w^3 - w^2 + w + 14]', '[5540, 2770, -4*w^3 + 5*w^2 + 23*w - 9]', '[5545, 5545, w^2 + 2*w + 7]', '[5548, 2774, -6*w^3 + w^2 + 25*w + 7]', '[5551, 5551, 6*w^3 - w^2 - 31*w - 10]', '[5551, 5551, -10*w^3 + 5*w^2 + 41*w - 8]', '[5551, 5551, 6*w^3 - w^2 - 25*w - 8]', '[5551, 5551, -6*w^3 + 5*w^2 + 31*w - 6]', '[5563, 5563, -6*w^3 + 2*w^2 + 25*w - 9]', '[5567, 5567, -3*w^3 + 10*w + 12]', '[5567, 5567, 5*w^3 - 2*w^2 - 23*w + 9]', '[5569, 5569, -2*w^3 + 4*w^2 + 3*w - 9]', '[5572, 2786, -6*w^3 + 5*w^2 + 21*w + 7]', '[5573, 5573, -7*w^3 + 2*w^2 + 29*w - 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9]', '[5677, 5677, w^3 - 2*w^2 - 4*w - 6]', '[5677, 5677, -w^3 + 7*w^2 - 7*w - 13]', '[5677, 5677, -w^3 - 4*w^2 + 14*w + 10]', '[5677, 5677, 5*w^3 - 3*w^2 - 21*w - 7]', '[5680, 710, -4*w^3 + 2*w^2 + 22*w]', '[5692, 2846, 7*w^3 - 2*w^2 - 38*w - 15]', '[5692, 2846, 9*w^3 - 2*w^2 - 44*w - 15]', '[5701, 5701, 5*w^3 - 21*w - 1]', '[5705, 5705, -8*w^3 + 2*w^2 + 40*w + 11]', '[5705, 5705, 5*w^3 - 3*w^2 - 22*w - 5]', '[5705, 5705, 8*w^3 - 4*w^2 - 33*w + 4]', '[5705, 5705, -8*w^3 + 2*w^2 + 32*w - 1]', '[5707, 5707, -2*w^3 + 2*w^2 + 4*w - 11]', '[5707, 5707, 5*w^3 - 3*w^2 - 17*w + 1]', '[5707, 5707, 2*w^3 + w^2 - 15*w - 6]', '[5707, 5707, 2*w^3 + 3*w^2 - 4*w - 9]', '[5711, 5711, -3*w^3 + 7*w^2 + 9*w - 19]', '[5719, 5719, 4*w^3 - 3*w^2 - 18*w - 5]', '[5725, 5725, -6*w^3 + 5*w^2 + 20*w + 1]', '[5732, 2866, w^3 - 12*w - 17]', '[5732, 2866, -2*w^3 + 5*w^2 + 9*w - 11]', '[5735, 5735, -w^2 - w + 12]', '[5743, 5743, 5*w^3 - 19*w - 7]', '[5743, 5743, -5*w^3 + 27*w + 11]', '[5743, 5743, 4*w^3 + w^2 - 18*w - 4]', '[5743, 5743, 2*w^3 - w^2 - 7*w - 10]', '[5744, 718, -4*w^3 + 20*w - 2]', '[5749, 5749, 4*w^3 - 5*w^2 - 15*w]', '[5751, 213, 6*w^3 - 27*w - 6]', '[5759, 5759, 3*w^2 - 6*w - 11]', '[5759, 5759, 5*w^3 + w^2 - 18*w - 7]', '[5761, 5761, 2*w^3 + 2*w^2 - 15*w - 15]', '[5765, 5765, -4*w^3 + 6*w^2 + 7*w + 6]', '[5765, 5765, 3*w^3 - 5*w^2 - 5*w + 7]', '[5776, 722, 6*w^3 - 2*w^2 - 28*w - 10]', '[5779, 5779, 10*w^3 - 5*w^2 - 46*w - 2]', '[5780, 2890, 2*w^3 - 5*w^2 - w + 9]', '[5783, 5783, -w^3 + 5*w^2 + w - 13]', '[5788, 2894, 3*w^3 + 6*w^2 - 8*w - 15]', '[5788, 2894, -5*w^3 + 3*w^2 + 17*w - 12]', '[5789, 5789, 3*w^3 - 2*w^2 - 10*w - 10]', '[5795, 5795, 4*w^3 + w^2 - 20*w - 5]', '[5795, 5795, 6*w^3 - 3*w^2 - 28*w - 5]', '[5803, 5803, w^3 + 4*w^2 - 12*w - 14]', '[5804, 2902, 5*w^3 - 4*w^2 - 28*w - 5]', '[5804, 2902, -2*w^3 + 3*w^2 + 5*w - 17]', '[5807, 5807, -4*w^3 - 2*w^2 + 20*w + 9]', '[5809, 5809, 2*w^3 - 15*w - 6]', '[5809, 5809, 7*w^3 - 7*w^2 - 35*w + 13]', '[5812, 2906, -6*w^3 - 5*w^2 + 31*w + 31]', '[5812, 2906, 4*w^3 - 3*w^2 - 25*w - 7]', '[5812, 2906, 7*w^3 + 3*w^2 - 27*w - 16]', '[5812, 2906, -2*w^3 + 5*w^2 + 5*w - 17]', '[5813, 5813, 3*w^3 - w^2 - 7*w + 7]', '[5815, 5815, 3*w^2 - 9*w - 4]', '[5821, 5821, w^3 - 2*w^2 - 2*w - 6]', '[5821, 5821, 2*w^3 + 2*w^2 - 16*w - 9]', '[5824, 364, -2*w^2 + 6*w + 10]', '[5824, 364, -2*w^3 + 4*w^2 + 12*w - 10]', '[5825, 5825, -w^3 - 3*w^2 + 11*w + 13]', '[5827, 5827, -2*w^3 + 3*w^2 + 4*w - 9]', '[5831, 119, 3*w^3 - w^2 - 10*w + 9]', '[5831, 5831, 2*w^3 + w^2 - 15*w - 4]', '[5837, 5837, 5*w^3 - 3*w^2 - 15*w - 11]', '[5837, 5837, 8*w^3 + 2*w^2 - 42*w - 25]', '[5840, 730, 4*w^2 - 10*w - 4]', '[5845, 5845, 2*w^3 - 4*w^2 - 5*w + 17]', '[5845, 5845, 14*w^3 - 10*w^2 - 61*w + 22]', '[5845, 5845, -3*w^3 + 5*w^2 + 12*w + 1]', '[5845, 5845, -8*w^3 + 7*w^2 + 40*w - 9]', '[5851, 5851, 4*w^3 - 5*w^2 - 16*w + 1]', '[5851, 5851, -w^3 + 5*w^2 + 2*w - 7]', '[5857, 5857, -5*w^3 + 5*w^2 + 17*w - 9]', '[5857, 5857, -w^3 + 3*w^2 - 16]', '[5860, 2930, w^3 + 2*w^2 - 10*w - 13]', '[5860, 2930, -4*w^3 + 7*w^2 + 21*w - 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2*w^2 + 9*w + 12]', '[557, 557, w^2 - 3*w - 6]', '[571, 571, 3*w^3 - 11*w - 8]', '[577, 577, 2*w^3 + 2*w^2 - 11*w - 7]', '[577, 577, -3*w^3 + 4*w^2 + 11*w - 6]', '[587, 587, -w^3 - w^2 + 7*w + 11]', '[593, 593, w^3 + w^2 - 8*w - 8]', '[593, 593, -2*w^3 + 4*w^2 + 6*w - 9]', '[599, 599, 4*w^3 - 17*w - 9]', '[599, 599, w^3 + w^2 - 6*w - 10]', '[601, 601, 3*w^2 - 10]', '[607, 607, 4*w^3 - w^2 - 18*w - 8]', '[619, 619, w^2 - w - 8]', '[641, 641, -w^3 + 3*w^2 + 2*w - 10]', '[643, 643, 3*w^3 - w^2 - 16*w + 1]', '[653, 653, -2*w^3 + 2*w^2 + 9*w + 3]', '[677, 677, w^3 + w^2 - 8*w - 11]', '[677, 677, 2*w^3 - w^2 - 12*w - 3]', '[683, 683, 3*w^3 - 2*w^2 - 13*w - 2]', '[683, 683, 3*w^3 + 2*w^2 - 16*w - 10]', '[691, 691, -2*w^3 - 2*w^2 + 12*w + 15]', '[691, 691, 3*w^3 - 2*w^2 - 15*w - 2]', '[691, 691, w^3 - 2*w^2 - 6*w + 6]', '[691, 691, -4*w^3 + 3*w^2 + 15*w - 2]', '[719, 719, 2*w^3 - 7*w - 8]', '[719, 719, w^2 + 2*w - 5]', '[727, 727, -w^3 + 3*w^2 + 4*w - 8]', '[727, 727, 2*w^3 - 9*w - 9]', '[733, 733, w^3 - 8*w - 2]', '[739, 739, -w^3 - 2*w^2 + 4*w + 10]', '[743, 743, w^3 - w^2 - 2*w + 8]', '[743, 743, 4*w^3 - w^2 - 17*w - 4]', '[751, 751, -2*w^3 + 2*w^2 + 6*w - 5]', '[751, 751, w^3 - 5*w - 7]', '[769, 769, 3*w^3 - 2*w^2 - 10*w]', '[787, 787, -2*w^3 + 3*w^2 + 8*w]', '[787, 787, 3*w^3 - w^2 - 10*w - 4]', '[809, 809, 3*w^3 + w^2 - 16*w - 6]', '[811, 811, 3*w^3 - 14*w - 2]', '[811, 811, -w^3 + 3*w^2 + 5*w - 5]', '[811, 811, w^3 - 2*w - 6]', '[811, 811, 3*w^3 - w^2 - 11*w - 3]', '[823, 823, w^3 + 2*w^2 - 3*w - 8]', '[827, 827, -w^3 + 3*w^2 + 3*w - 7]', '[829, 829, w^3 + w^2 - 3*w - 7]', '[853, 853, 3*w^3 + w^2 - 14*w - 6]', '[857, 857, 3*w^3 + w^2 - 13*w - 5]', '[857, 857, 3*w^3 - 3*w^2 - 11*w - 1]', '[859, 859, 4*w^3 - 2*w^2 - 18*w - 3]', '[859, 859, 3*w^3 - 11*w - 3]', '[863, 863, 3*w^3 + w^2 - 17*w - 9]', '[877, 877, -w^3 - 2*w^2 + 9*w + 1]', '[877, 877, 5*w^3 + w^2 - 23*w - 11]', '[911, 911, w^2 - 4*w - 6]', '[911, 911, -2*w^3 + 2*w^2 + 10*w + 3]', '[919, 919, -4*w^3 + 3*w^2 + 18*w - 1]', '[929, 929, 2*w^3 - 13*w - 12]', '[929, 929, -w^3 + 2*w^2 + 7*w - 5]', '[953, 953, -3*w^3 + 3*w^2 + 13*w - 1]', '[967, 967, -3*w^3 + 4*w^2 + 13*w - 7]', '[971, 971, 2*w^2 - 3*w - 12]', '[971, 971, 3*w^3 - w^2 - 16*w - 3]']}
85. label: 4.4.6125.1
    {'degree': 4, 'discriminant': 6125, 'ideals': ['[1, 1, 1]', '[5, 5, -2*w^3 - 2*w^2 + 13*w + 8]', '[11, 11, 2*w^3 + 3*w^2 - 12*w - 11]', '[11, 11, -w^3 - 2*w^2 + 6*w + 9]', '[11, 11, w^3 + w^2 - 7*w - 4]', '[11, 11, w - 1]', '[16, 2, 2]', '[19, 19, -w^2 + 4]', '[19, 19, 2*w^3 + 2*w^2 - 13*w - 6]', '[19, 19, 3*w^3 + 4*w^2 - 18*w - 16]', '[19, 19, -w^3 - w^2 + 5*w + 3]', '[25, 5, -2*w^3 - 2*w^2 + 12*w + 7]', '[49, 7, 2*w^3 + 3*w^2 - 13*w - 15]', '[55, 55, -w^3 - 2*w^2 + 5*w + 11]', '[55, 55, -2*w^3 - 3*w^2 + 13*w + 14]', '[55, 55, -w^3 - 2*w^2 + 5*w + 6]', '[55, 55, 2*w^3 + 3*w^2 - 13*w - 9]', '[59, 59, -3*w^3 - 4*w^2 + 19*w + 14]', '[59, 59, 3*w^3 + 4*w^2 - 18*w - 17]', '[59, 59, 2*w^3 + 3*w^2 - 11*w - 13]', '[59, 59, -w^3 - 2*w^2 + 7*w + 9]', '[71, 71, 3*w^3 + 3*w^2 - 17*w - 10]', '[71, 71, -2*w^3 - w^2 + 14*w + 2]', '[71, 71, 5*w^3 + 7*w^2 - 30*w - 25]', '[71, 71, -3*w^3 - 4*w^2 + 16*w + 16]', '[80, 10, -4*w^3 - 4*w^2 + 26*w + 16]', '[81, 3, -3]', '[89, 89, -2*w^3 - 2*w^2 + 13*w + 4]', '[89, 89, 3*w^3 + 4*w^2 - 17*w - 16]', '[89, 89, 3*w^3 + 4*w^2 - 18*w - 18]', '[89, 89, -4*w^3 - 5*w^2 + 25*w + 18]', '[95, 95, w^3 + 2*w^2 - 6*w - 12]', '[95, 95, -2*w^3 - 3*w^2 + 12*w + 8]', '[95, 95, -w^3 - w^2 + 7*w + 7]', '[95, 95, -w + 4]', '[121, 11, -3*w^3 - 3*w^2 + 18*w + 11]', '[121, 11, -5*w^3 - 6*w^2 + 30*w + 22]', '[121, 11, 3*w^3 + 3*w^2 - 17*w - 11]', '[121, 11, 4*w^3 + 4*w^2 - 25*w - 14]', '[121, 11, -3*w^3 - 3*w^2 + 18*w + 10]', '[121, 11, -2*w^3 - w^2 + 12*w + 2]', '[121, 121, -w^3 - 3*w^2 + 6*w + 14]', '[121, 121, -5*w^3 - 7*w^2 + 30*w + 26]', '[121, 121, -3*w^3 - 3*w^2 + 20*w + 11]', '[121, 121, w^3 + w^2 - 4*w - 5]', '[125, 5, -6*w^3 - 8*w^2 + 37*w + 34]', '[139, 139, -w^3 + 6*w + 1]', '[139, 139, -3*w^3 - 3*w^2 + 19*w + 8]', '[139, 139, 4*w^3 + 5*w^2 - 24*w - 21]', '[139, 139, -2*w^3 - 2*w^2 + 11*w + 5]', '[151, 151, -6*w^3 - 7*w^2 + 37*w + 27]', '[151, 151, 3*w^3 + 5*w^2 - 19*w - 17]', '[151, 151, -6*w^3 - 8*w^2 + 37*w + 31]', '[151, 151, 4*w^3 + 6*w^2 - 25*w - 26]', '[176, 22, 4*w^3 + 6*w^2 - 24*w - 22]', '[176, 22, -2*w^3 - 4*w^2 + 12*w + 18]', '[176, 22, 2*w^3 + 2*w^2 - 14*w - 8]', '[176, 22, 2*w - 2]', '[191, 191, 5*w^3 + 7*w^2 - 31*w - 26]', '[191, 191, -2*w^3 - 3*w^2 + 10*w + 13]', '[191, 191, -5*w^3 - 7*w^2 + 31*w + 29]', '[191, 191, 2*w^3 + 4*w^2 - 13*w - 17]', '[199, 199, 2*w^3 + 4*w^2 - 11*w - 20]', '[199, 199, -2*w^3 - 2*w^2 + 11*w + 3]', '[199, 199, 3*w^3 + 5*w^2 - 17*w - 17]', '[199, 199, 3*w^3 + 3*w^2 - 19*w - 6]', '[209, 209, -6*w^3 - 8*w^2 + 36*w + 27]', '[209, 209, w^2 + w - 2]', '[209, 209, -w^3 + w^2 + 7*w - 7]', '[209, 209, -6*w^3 - 7*w^2 + 38*w + 26]', '[209, 209, -2*w^3 - 2*w^2 + 10*w + 11]', '[209, 209, 3*w^3 + 4*w^2 - 17*w - 17]', '[209, 209, 2*w^3 + 3*w^2 - 11*w - 15]', '[209, 209, w^3 + 2*w^2 - 7*w - 11]', '[209, 209, 6*w^3 + 8*w^2 - 35*w - 30]', '[209, 209, 4*w^3 + 4*w^2 - 26*w - 17]', '[209, 209, -w^3 + 4*w]', '[209, 209, 4*w^3 + 5*w^2 - 25*w - 17]', '[209, 209, -w^2 + w + 6]', '[209, 209, -3*w^3 - 4*w^2 + 19*w + 12]', '[209, 209, 2*w^2 - 13]', '[209, 209, -w^3 + 7*w]', '[211, 211, 3*w^3 + 5*w^2 - 18*w - 19]', '[211, 211, -3*w^3 - 5*w^2 + 18*w + 21]', '[211, 211, 2*w^3 + 4*w^2 - 12*w - 17]', '[211, 211, -4*w^3 - 6*w^2 + 24*w + 23]', '[229, 229, 2*w^3 + 4*w^2 - 13*w - 19]', '[229, 229, -2*w^3 - 3*w^2 + 10*w + 15]', '[229, 229, -5*w^3 - 7*w^2 + 31*w + 24]', '[229, 229, 2*w^3 + 2*w^2 - 14*w - 3]', '[245, 35, 17*w^3 + 19*w^2 - 109*w - 76]', '[256, 4, 4]', '[269, 269, 2*w^3 + w^2 - 11*w - 1]', '[269, 269, -6*w^3 - 7*w^2 + 37*w + 24]', '[269, 269, 5*w^3 + 6*w^2 - 29*w - 24]', '[269, 269, 3*w^3 + 2*w^2 - 19*w - 7]', '[275, 55, -2*w^3 - 3*w^2 + 10*w + 11]', '[275, 55, -w^3 + 8*w - 3]', '[275, 55, 5*w^3 + 7*w^2 - 31*w - 28]', '[275, 55, -2*w^3 - 4*w^2 + 13*w + 15]', '[281, 281, -4*w^3 - 6*w^2 + 25*w + 25]', '[281, 281, -5*w^3 - 7*w^2 + 31*w + 27]', '[281, 281, w^2 + 2*w - 7]', '[281, 281, 3*w^3 + 5*w^2 - 19*w - 18]', '[295, 295, 5*w^3 + 5*w^2 - 31*w - 16]', '[295, 295, 13*w^3 + 15*w^2 - 82*w - 59]', '[295, 295, -9*w^3 - 10*w^2 + 58*w + 39]', '[295, 295, -11*w^3 - 14*w^2 + 69*w + 57]', '[304, 38, -2*w^2 + 8]', '[304, 38, 4*w^3 + 4*w^2 - 26*w - 12]', '[304, 38, 6*w^3 + 8*w^2 - 36*w - 32]', '[304, 38, -2*w^3 - 2*w^2 + 10*w + 6]', '[331, 331, -2*w^3 - 3*w^2 + 12*w + 7]', '[331, 331, w^3 + w^2 - 7*w - 8]', '[331, 331, w^3 + 2*w^2 - 6*w - 13]', '[331, 331, w - 5]', '[349, 349, 2*w^3 + 5*w^2 - 16*w - 12]', '[349, 349, 2*w^3 + 4*w^2 - 15*w - 10]', '[349, 349, 8*w^3 + 9*w^2 - 50*w - 32]', '[349, 349, 2*w^3 + 4*w^2 - 15*w - 9]', '[355, 355, 4*w^3 + 6*w^2 - 23*w - 25]', '[355, 355, 12*w^3 + 15*w^2 - 74*w - 57]', '[355, 355, -13*w^3 - 18*w^2 + 82*w + 82]', '[355, 355, -3*w^3 - 3*w^2 + 17*w + 7]', '[361, 19, -5*w^3 - 5*w^2 + 33*w + 19]', '[361, 19, -4*w^3 - 4*w^2 + 24*w + 13]', '[361, 19, -4*w^3 - 4*w^2 + 24*w + 15]', '[361, 19, -8*w^3 - 11*w^2 + 48*w + 40]', '[361, 19, 2*w^3 + 2*w^2 - 9*w - 10]', '[361, 19, -w^3 - 4*w^2 + 6*w + 20]', '[361, 361, 3*w^3 + 5*w^2 - 19*w - 19]', '[361, 361, 4*w^3 + 6*w^2 - 25*w - 24]', '[361, 361, -w^2 - 2*w + 6]', '[361, 361, -w^3 - 2*w^2 + 4*w + 8]', '[400, 10, -4*w^3 - 4*w^2 + 24*w + 14]', '[401, 401, 4*w^3 + 3*w^2 - 21*w - 12]', '[401, 401, 3*w^3 + 2*w^2 - 16*w - 9]', '[401, 401, -3*w^3 - 6*w^2 + 20*w + 19]', '[401, 401, -4*w^3 - 3*w^2 + 27*w + 9]', '[405, 15, 6*w^3 + 6*w^2 - 39*w - 24]', '[409, 409, -5*w^3 - 6*w^2 + 31*w + 20]', '[409, 409, 3*w^3 + 4*w^2 - 20*w - 12]', '[409, 409, -3*w^3 - 5*w^2 + 17*w + 23]', '[409, 409, 4*w^3 + 5*w^2 - 23*w - 21]', '[419, 419, -4*w^3 - 4*w^2 + 21*w + 18]', '[419, 419, -4*w^3 - 4*w^2 + 20*w + 19]', '[419, 419, -3*w^3 - 4*w^2 + 16*w + 18]', '[419, 419, -2*w^3 - w^2 + 8*w + 10]', '[421, 421, -6*w^3 - 7*w^2 + 36*w + 26]', '[421, 421, 5*w^3 + 5*w^2 - 31*w - 17]', '[421, 421, 3*w^3 + 2*w^2 - 18*w - 6]', '[421, 421, 4*w^3 + 4*w^2 - 23*w - 14]', '[431, 431, 6*w^3 + 7*w^2 - 36*w - 25]', '[431, 431, -3*w^3 - 2*w^2 + 18*w + 5]', '[431, 431, 4*w^3 + 4*w^2 - 23*w - 15]', '[431, 431, -5*w^3 - 5*w^2 + 31*w + 18]', '[439, 439, w^3 + w^2 - 4*w - 1]', '[439, 439, w^3 + 3*w^2 - 6*w - 10]', '[439, 439, 3*w^3 + 3*w^2 - 20*w - 7]', '[439, 439, 5*w^3 + 7*w^2 - 30*w - 30]', '[445, 445, -4*w^3 - 7*w^2 + 24*w + 32]', '[445, 445, -15*w^3 - 19*w^2 + 94*w + 78]', '[445, 445, 15*w^3 + 17*w^2 - 95*w - 67]', '[445, 445, 7*w^3 + 8*w^2 - 43*w - 29]', '[475, 95, 2*w^3 + 3*w^2 - 10*w - 16]', '[475, 95, 2*w^3 + 4*w^2 - 13*w - 20]', '[475, 95, w^3 - 8*w - 2]', '[475, 95, 5*w^3 + 7*w^2 - 31*w - 23]', '[479, 479, -4*w^3 - 5*w^2 + 25*w + 15]', '[479, 479, -5*w^3 - 6*w^2 + 32*w + 21]', '[479, 479, 5*w^3 + 7*w^2 - 29*w - 28]', '[479, 479, 2*w^2 + w - 9]', '[491, 491, 7*w^3 + 8*w^2 - 43*w - 31]', '[491, 491, 6*w^3 + 6*w^2 - 37*w - 24]', '[491, 491, 4*w^3 + 3*w^2 - 24*w - 6]', '[491, 491, 5*w^3 + 5*w^2 - 29*w - 21]', '[509, 509, -4*w^3 - 5*w^2 + 25*w + 14]', '[509, 509, -3*w^3 - 4*w^2 + 17*w + 20]', '[509, 509, -6*w^3 - 7*w^2 + 38*w + 25]', '[509, 509, -6*w^3 - 8*w^2 + 35*w + 31]', '[539, 77, -8*w^3 - 11*w^2 + 48*w + 44]', '[539, 77, 6*w^3 + 10*w^2 - 36*w - 47]', '[539, 77, -11*w^3 - 12*w^2 + 71*w + 49]', '[539, 77, 3*w^3 + 2*w^2 - 20*w - 7]', '[541, 541, 9*w^3 + 12*w^2 - 55*w - 46]', '[541, 541, w^3 + 4*w^2 - 7*w - 17]', '[541, 541, -4*w^3 - 5*w^2 + 21*w + 19]', '[541, 541, -4*w^3 - 3*w^2 + 27*w + 8]', '[571, 571, -3*w^3 - 6*w^2 + 18*w + 23]', '[571, 571, 6*w^3 + 9*w^2 - 36*w - 37]', '[571, 571, 7*w^3 + 10*w^2 - 42*w - 36]', '[571, 571, 2*w^3 + 5*w^2 - 12*w - 24]', '[605, 55, -10*w^3 - 13*w^2 + 62*w + 55]', '[605, 55, 4*w^3 + 4*w^2 - 26*w - 11]', '[605, 55, -2*w^2 + 7]', '[605, 55, -8*w^3 - 11*w^2 + 49*w + 47]', '[605, 55, -2*w^3 - 2*w^2 + 10*w + 5]', '[605, 55, 6*w^3 + 8*w^2 - 36*w - 33]', '[605, 605, -2*w^3 - 4*w^2 + 11*w + 13]', '[605, 605, -3*w^3 - 4*w^2 + 20*w + 11]', '[605, 605, 3*w^3 + 5*w^2 - 17*w - 24]', '[605, 605, -2*w^3 - 3*w^2 + 14*w + 15]', '[619, 619, -9*w^3 - 11*w^2 + 55*w + 39]', '[619, 619, -5*w^3 - 4*w^2 + 32*w + 14]', '[619, 619, 7*w^3 + 9*w^2 - 42*w - 36]', '[619, 619, 4*w^3 + 6*w^2 - 26*w - 27]', '[625, 5, 5]', '[631, 631, 2*w^3 + 5*w^2 - 12*w - 21]', '[631, 631, -7*w^3 - 10*w^2 + 42*w + 39]', '[631, 631, 4*w^3 + 4*w^2 - 27*w - 13]', '[631, 631, w^3 + w^2 - 3*w - 4]', '[641, 641, -9*w^3 - 10*w^2 + 56*w + 36]', '[641, 641, -5*w^3 - 9*w^2 + 30*w + 32]', '[641, 641, -3*w^3 - 6*w^2 + 19*w + 21]', '[641, 641, 4*w^3 + 3*w^2 - 22*w - 10]', '[649, 649, w^3 + w^2 - 4*w]', '[649, 649, -5*w^3 - 6*w^2 + 31*w + 19]', '[649, 649, -4*w^3 - 4*w^2 + 22*w + 19]', '[649, 649, -10*w^3 - 12*w^2 + 63*w + 46]', '[649, 649, -2*w^3 - w^2 + 13*w + 5]', '[649, 649, -2*w^3 + 11*w + 2]', '[649, 649, -2*w^3 - 4*w^2 + 11*w + 11]', '[649, 649, -3*w^3 - 5*w^2 + 17*w + 26]', '[649, 649, 9*w^3 + 11*w^2 - 55*w - 45]', '[649, 649, 3*w^3 + 4*w^2 - 20*w - 9]', '[649, 649, 4*w^3 + 5*w^2 - 23*w - 22]', '[649, 649, 4*w^3 + 5*w^2 - 26*w - 16]', '[649, 649, -2*w^3 + 12*w - 7]', '[649, 649, 2*w^3 + 4*w^2 - 13*w - 21]', '[649, 649, 6*w^3 + 6*w^2 - 38*w - 25]', '[649, 649, 6*w^3 + 7*w^2 - 34*w - 22]', '[695, 695, -7*w^3 - 9*w^2 + 44*w + 41]', '[695, 695, 17*w^3 + 20*w^2 - 107*w - 80]', '[695, 695, -2*w^3 - w^2 + 15*w + 4]', '[695, 695, -8*w^3 - 12*w^2 + 49*w + 53]', '[701, 701, -2*w^3 - 5*w^2 + 14*w + 20]', '[701, 701, -6*w^3 - 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19*w - 24]', '[1451, 1451, 5*w^3 + 8*w^2 - 32*w - 29]', '[1451, 1451, -6*w^3 - 9*w^2 + 38*w + 37]', '[1459, 1459, 4*w^3 + 5*w^2 - 26*w - 13]', '[1459, 1459, w^3 + 3*w^2 - 5*w - 8]', '[1459, 1459, 4*w^3 + 6*w^2 - 23*w - 29]', '[1459, 1459, w^3 + 2*w^2 - 8*w - 13]', '[1471, 1471, 4*w^3 + 7*w^2 - 26*w - 28]', '[1471, 1471, 7*w^3 + 10*w^2 - 44*w - 38]', '[1471, 1471, -3*w^3 - 5*w^2 + 15*w + 21]', '[1471, 1471, -6*w^3 - 9*w^2 + 37*w + 37]', '[1475, 295, -w^3 - 2*w^2 + 9*w + 10]', '[1475, 295, 3*w^3 + 2*w^2 - 20*w - 9]', '[1475, 295, -2*w^3 - 5*w^2 + 11*w + 19]', '[1475, 295, -5*w^3 - 6*w^2 + 33*w + 19]', '[1481, 1481, -9*w^3 - 13*w^2 + 54*w + 52]', '[1481, 1481, 7*w^3 + 6*w^2 - 44*w - 16]', '[1481, 1481, 3*w^3 + 7*w^2 - 18*w - 34]', '[1481, 1481, 12*w^3 + 15*w^2 - 71*w - 52]', '[1489, 1489, 5*w^3 + 6*w^2 - 29*w - 29]', '[1489, 1489, -6*w^3 - 7*w^2 + 37*w + 19]', '[1489, 1489, -2*w^3 - w^2 + 11*w - 4]', '[1489, 1489, -3*w^3 - 2*w^2 + 19*w + 12]', '[1520, 190, 2*w^3 + 4*w^2 - 12*w - 24]', '[1520, 190, -4*w^3 - 6*w^2 + 24*w + 16]', '[1520, 190, -2*w^3 - 2*w^2 + 14*w + 14]', '[1520, 190, -2*w + 8]', '[1529, 1529, 7*w^3 + 10*w^2 - 42*w - 43]', '[1529, 1529, -w^3 - 3*w^2 + 4*w + 9]', '[1529, 1529, -3*w^3 - 6*w^2 + 16*w + 22]', '[1529, 1529, 11*w^3 + 15*w^2 - 63*w - 55]', '[1529, 1529, -13*w^3 - 16*w^2 + 82*w + 62]', '[1529, 1529, -2*w^3 + 2*w^2 + 15*w - 16]', '[1529, 1529, -4*w^3 - 7*w^2 + 22*w + 32]', '[1529, 1529, 4*w^3 + 6*w^2 - 27*w - 26]', '[1529, 1529, -3*w^3 - 5*w^2 + 16*w + 25]', '[1529, 1529, w^3 + w^2 - 3*w]', '[1529, 1529, 2*w^3 + 5*w^2 - 12*w - 17]', '[1529, 1529, 5*w^3 + 7*w^2 - 32*w - 22]', '[1529, 1529, 3*w^3 + 5*w^2 - 20*w - 24]', '[1529, 1529, 5*w^3 + 7*w^2 - 33*w - 23]', '[1529, 1529, -4*w^3 - 4*w^2 + 27*w + 9]', '[1529, 1529, -3*w^2 + 4*w + 10]', '[1539, 57, 3*w^2 - 12]', '[1539, 57, -6*w^3 - 6*w^2 + 39*w + 18]', '[1539, 57, -9*w^3 - 12*w^2 + 54*w + 48]', '[1539, 57, 3*w^3 + 3*w^2 - 15*w - 9]', '[1559, 1559, 6*w^3 + 8*w^2 - 38*w - 27]', '[1559, 1559, 4*w^3 + 6*w^2 - 22*w - 27]', '[1559, 1559, -7*w^3 - 9*w^2 + 42*w + 38]', '[1559, 1559, 5*w^3 + 5*w^2 - 32*w - 13]', '[1609, 1609, -w^3 + w^2 + 5*w - 9]', '[1609, 1609, -3*w^3 - 6*w^2 + 17*w + 21]', '[1609, 1609, -8*w^3 - 10*w^2 + 49*w + 34]', '[1609, 1609, 5*w^3 + 8*w^2 - 29*w - 36]', '[1621, 1621, 3*w^3 + 5*w^2 - 15*w - 19]', '[1621, 1621, 2*w^2 + 3*w - 12]', '[1621, 1621, -4*w^3 - 7*w^2 + 26*w + 26]', '[1621, 1621, 7*w^3 + 10*w^2 - 44*w - 40]', '[1655, 1655, 6*w^3 + 5*w^2 - 39*w - 18]', '[1655, 1655, 3*w^3 + 2*w^2 - 21*w - 10]', '[1655, 1655, 16*w^3 + 18*w^2 - 103*w - 75]', '[1655, 1655, 13*w^3 + 13*w^2 - 84*w - 49]', '[1661, 1661, -16*w^3 - 18*w^2 + 101*w + 71]', '[1661, 1661, 5*w^3 + 3*w^2 - 25*w - 16]', '[1661, 1661, -4*w^3 - 5*w^2 + 26*w + 26]', '[1661, 1661, 6*w^3 + 5*w^2 - 37*w - 18]', '[1661, 1661, -6*w^3 - 6*w^2 + 40*w + 23]', '[1661, 1661, -3*w^3 - 5*w^2 + 15*w + 11]', '[1661, 1661, -w^2 - 4*w]', '[1661, 1661, 19*w^3 + 23*w^2 - 118*w - 91]', '[1661, 1661, 19*w^3 + 24*w^2 - 119*w - 97]', '[1661, 1661, -w^3 - 2*w^2 + 7*w + 1]', '[1661, 1661, -8*w^3 - 9*w^2 + 48*w + 35]', '[1661, 1661, -7*w^3 - 10*w^2 + 44*w + 39]', '[1661, 1661, 7*w^3 + 11*w^2 - 42*w - 33]', '[1661, 1661, 5*w^3 + 9*w^2 - 30*w - 47]', '[1661, 1661, -8*w^3 - 9*w^2 + 47*w + 35]', '[1661, 1661, -3*w^3 - 4*w^2 + 19*w + 22]', '[1669, 1669, -5*w^3 - 7*w^2 + 27*w + 30]', '[1669, 1669, 3*w^3 + w^2 - 12*w - 13]', '[1669, 1669, 6*w^3 + 7*w^2 - 31*w - 31]', '[1669, 1669, -5*w^3 - 4*w^2 + 25*w + 21]', '[1681, 41, -6*w^3 - 6*w^2 + 36*w + 19]', '[1681, 41, -6*w^3 - 6*w^2 + 36*w + 23]', '[1691, 1691, -w^3 + 9*w - 3]', '[1691, 1691, 7*w^3 + 9*w^2 - 44*w - 42]', '[1691, 1691, -w^3 - 3*w^2 + 3*w + 13]', '[1691, 1691, -5*w^3 - 4*w^2 + 28*w + 13]', '[1691, 1691, -8*w^3 - 10*w^2 + 51*w + 46]', '[1691, 1691, 4*w^3 + 7*w^2 - 25*w - 27]', '[1691, 1691, -10*w^3 - 15*w^2 + 60*w + 51]', '[1691, 1691, 10*w^3 + 12*w^2 - 59*w - 45]', '[1691, 1691, 3*w^2 + 2*w - 24]', '[1691, 1691, -9*w^3 - 9*w^2 + 59*w + 31]', '[1691, 1691, w^3 + 6*w^2 - 6*w - 28]', '[1691, 1691, -4*w^3 - 2*w^2 + 24*w + 5]', '[1691, 1691, 6*w^3 + 6*w^2 - 34*w - 21]', '[1691, 1691, -6*w^3 - 9*w^2 + 38*w + 34]', '[1691, 1691, 5*w^3 + 7*w^2 - 28*w - 19]', '[1691, 1691, 5*w^3 + 5*w^2 - 35*w - 24]', '[1699, 1699, 4*w^3 + 5*w^2 - 28*w - 13]', '[1699, 1699, -11*w^3 - 15*w^2 + 66*w + 51]', '[1699, 1699, -w^3 - 5*w^2 + 6*w + 29]', '[1699, 1699, 3*w^3 + 3*w^2 - 14*w - 18]', '[1745, 1745, 5*w^3 + 8*w^2 - 32*w - 30]', '[1745, 1745, 31*w^3 + 40*w^2 - 194*w - 168]', '[1745, 1745, 6*w^3 + 9*w^2 - 38*w - 36]', '[1745, 1745, 4*w^3 + 7*w^2 - 25*w - 28]', '[1775, 355, 12*w^3 + 13*w^2 - 75*w - 46]', '[1775, 355, -8*w^3 - 13*w^2 + 48*w + 58]', '[1775, 355, -5*w^3 - 7*w^2 + 26*w + 23]', '[1775, 355, 7*w^3 + 12*w^2 - 42*w - 42]', '[1801, 1801, -3*w^3 - 7*w^2 + 19*w + 26]', '[1801, 1801, 5*w^3 + 4*w^2 - 27*w - 17]', '[1801, 1801, -11*w^3 - 12*w^2 + 69*w + 46]', '[1801, 1801, -4*w^3 - 9*w^2 + 28*w + 27]', '[1805, 95, -w^2 + 2*w + 8]', '[1805, 95, -5*w^3 - 6*w^2 + 32*w + 18]', '[1805, 95, -10*w^3 - 14*w^2 + 61*w + 60]', '[1805, 95, 5*w^3 + 7*w^2 - 29*w - 31]', '[1805, 95, -2*w^2 - w + 6]', '[1805, 95, w^3 + 5*w^2 - 9*w - 13]', '[1805, 1805, -12*w^3 - 16*w^2 + 70*w + 59]', '[1805, 1805, -2*w^3 + 8*w + 1]', '[1805, 1805, -2*w^3 + 2*w^2 + 14*w - 15]', '[1805, 1805, 12*w^3 + 14*w^2 - 76*w - 53]', '[1831, 1831, 5*w^3 + 8*w^2 - 32*w - 31]', '[1831, 1831, 6*w^3 + 9*w^2 - 38*w - 35]', '[1831, 1831, 5*w^3 + 8*w^2 - 31*w - 32]', '[1831, 1831, 5*w^3 + 8*w^2 - 31*w - 31]', '[1871, 1871, 7*w^3 + 11*w^2 - 45*w - 38]', '[1871, 1871, -2*w^3 - 5*w^2 + 8*w + 27]', '[1871, 1871, -8*w^3 - 12*w^2 + 51*w + 51]', '[1871, 1871, 11*w^3 + 15*w^2 - 67*w - 59]', '[1879, 1879, 3*w^3 + 7*w^2 - 16*w - 37]', '[1879, 1879, -7*w^3 - 9*w^2 + 46*w + 40]', '[1879, 1879, 12*w^3 + 15*w^2 - 73*w - 60]', '[1879, 1879, 5*w^3 + 8*w^2 - 32*w - 38]', '[1889, 1889, -3*w^3 - 5*w^2 + 16*w + 26]', '[1889, 1889, w^3 + 3*w^2 - 4*w - 8]', '[1889, 1889, -5*w^3 - 7*w^2 + 32*w + 21]', '[1889, 1889, 3*w^3 + 5*w^2 - 20*w - 25]', '[1901, 1901, 6*w^3 + 7*w^2 - 39*w - 34]', '[1901, 1901, 10*w^3 + 14*w^2 - 60*w - 53]', '[1901, 1901, -5*w^3 - 9*w^2 + 30*w + 41]', '[1901, 1901, -8*w^3 - 10*w^2 + 49*w + 47]', '[1936, 22, -6*w^3 - 6*w^2 + 36*w + 22]', '[1936, 22, -10*w^3 - 12*w^2 + 60*w + 44]', '[1936, 22, 6*w^3 + 6*w^2 - 34*w - 22]', '[1936, 22, 8*w^3 + 8*w^2 - 50*w - 28]', '[1936, 22, -6*w^3 - 6*w^2 + 36*w + 20]', '[1936, 22, -4*w^3 - 2*w^2 + 24*w + 4]', '[1936, 242, -2*w^3 - 6*w^2 + 12*w + 28]', '[1936, 242, -10*w^3 - 14*w^2 + 60*w + 52]', '[1936, 242, -6*w^3 - 6*w^2 + 40*w + 22]', '[1936, 242, 2*w^3 + 2*w^2 - 8*w - 10]', '[1949, 1949, -7*w^3 - 10*w^2 + 41*w + 41]', '[1949, 1949, 6*w^3 + 7*w^2 - 39*w - 23]', '[1949, 1949, -4*w^3 - 5*w^2 + 22*w + 24]', '[1949, 1949, -7*w^3 - 9*w^2 + 43*w + 29]', '[1979, 1979, -3*w^3 - 2*w^2 + 16*w + 4]', '[1979, 1979, 8*w^3 + 10*w^2 - 47*w - 40]', '[1979, 1979, 3*w^3 + w^2 - 19*w - 3]', '[1979, 1979, -8*w^3 - 9*w^2 + 50*w + 30]', '[2000, 10, -12*w^3 - 16*w^2 + 74*w + 68]', '[2005, 2005, -7*w^3 - 9*w^2 + 44*w + 31]', '[2005, 2005, 5*w^3 + 5*w^2 - 32*w - 12]', '[2005, 2005, 5*w^3 + 7*w^2 - 28*w - 30]', '[2005, 2005, 7*w^3 + 9*w^2 - 42*w - 39]', '[2011, 2011, -5*w^3 - 9*w^2 + 32*w + 30]', '[2011, 2011, 7*w^3 + 6*w^2 - 37*w - 24]', '[2011, 2011, 9*w^3 + 13*w^2 - 56*w - 56]', '[2011, 2011, -12*w^3 - 16*w^2 + 74*w + 61]', '[2025, 15, 6*w^3 + 6*w^2 - 36*w - 21]', '[2029, 2029, 11*w^3 + 13*w^2 - 70*w - 49]', '[2029, 2029, 5*w^3 + 7*w^2 - 32*w - 20]', '[2029, 2029, 11*w^3 + 15*w^2 - 64*w - 56]', '[2029, 2029, -w^3 + 3*w^2 + 8*w - 18]', '[2045, 2045, 13*w^3 + 15*w^2 - 81*w - 58]', '[2045, 2045, -12*w^3 - 12*w^2 + 76*w + 41]', '[2045, 2045, 11*w^3 + 15*w^2 - 69*w - 63]', '[2045, 2045, -15*w^3 - 20*w^2 + 93*w + 83]', '[2081, 2081, 5*w^3 + 7*w^2 - 31*w - 35]', '[2081, 2081, 11*w^3 + 13*w^2 - 67*w - 50]', '[2081, 2081, -11*w^3 - 16*w^2 + 65*w + 62]', '[2081, 2081, 8*w^3 + 9*w^2 - 53*w - 32]', '[2089, 2089, -8*w^3 - 7*w^2 + 51*w + 18]', '[2089, 2089, 8*w^3 + 9*w^2 - 45*w - 29]', '[2089, 2089, -11*w^3 - 13*w^2 + 69*w + 48]', '[2089, 2089, 13*w^3 + 16*w^2 - 79*w - 64]', '[2095, 2095, -8*w^3 - 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21*w^2 + 87*w + 77]', '[2189, 2189, 4*w^3 + 3*w^2 - 27*w - 2]', '[2189, 2189, 3*w^3 + 2*w^2 - 17*w]', '[2189, 2189, -7*w^3 - 8*w^2 + 43*w + 23]', '[2189, 2189, -6*w^2 - 3*w + 34]', '[2195, 2195, -10*w^3 - 11*w^2 + 66*w + 47]', '[2195, 2195, -2*w^3 - 3*w^2 + 13*w + 19]', '[2195, 2195, 10*w^3 + 15*w^2 - 62*w - 67]', '[2195, 2195, 22*w^3 + 25*w^2 - 139*w - 97]', '[2221, 2221, 7*w^3 + 7*w^2 - 39*w - 28]', '[2221, 2221, 13*w^3 + 16*w^2 - 78*w - 57]', '[2221, 2221, -4*w^3 - w^2 + 24*w - 3]', '[2221, 2221, 10*w^3 + 10*w^2 - 63*w - 37]', '[2224, 278, -2*w^3 + 12*w + 2]', '[2224, 278, -6*w^3 - 6*w^2 + 38*w + 16]', '[2224, 278, 8*w^3 + 10*w^2 - 48*w - 42]', '[2224, 278, -4*w^3 - 4*w^2 + 22*w + 10]', '[2225, 445, 2*w^3 - 11*w + 6]', '[2225, 445, -3*w^3 - 6*w^2 + 17*w + 20]', '[2225, 445, 5*w^3 + 4*w^2 - 32*w - 16]', '[2225, 445, -2*w^3 - 3*w^2 + 15*w + 16]', '[2239, 2239, -5*w^3 - 7*w^2 + 29*w + 32]', '[2239, 2239, 2*w^2 + w - 5]', '[2239, 2239, w^2 - 2*w - 9]', '[2239, 2239, 5*w^3 + 6*w^2 - 32*w - 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10*w^2 + 50*w + 35]', '[2299, 209, 6*w^3 + 7*w^2 - 33*w - 22]', '[2299, 209, 8*w^3 + 11*w^2 - 49*w - 36]', '[2299, 2299, 5*w^3 + 6*w^2 - 28*w - 27]', '[2299, 2299, -3*w^3 - 6*w^2 + 16*w + 33]', '[2299, 2299, 4*w^3 + 7*w^2 - 22*w - 21]', '[2299, 2299, -7*w^3 - 8*w^2 + 45*w + 27]', '[2299, 2299, w^3 - 3*w + 2]', '[2299, 2299, w^3 + 4*w^2 - 7*w - 22]', '[2299, 2299, 4*w^3 + 3*w^2 - 26*w - 13]', '[2299, 2299, 3*w^2 + w - 13]', '[2299, 2299, -w^3 + w^2 + 5*w - 10]', '[2299, 2299, 4*w^3 + 3*w^2 - 27*w - 13]', '[2299, 2299, -5*w^3 - 7*w^2 + 33*w + 34]', '[2299, 2299, 8*w^3 + 10*w^2 - 49*w - 33]', '[2299, 2299, -8*w^3 - 11*w^2 + 47*w + 44]', '[2299, 2299, -4*w^3 - 6*w^2 + 27*w + 15]', '[2299, 2299, 9*w^3 + 12*w^2 - 55*w - 41]', '[2299, 2299, 4*w^3 + 5*w^2 - 21*w - 24]', '[2309, 2309, 9*w^3 + 11*w^2 - 56*w - 39]', '[2309, 2309, 7*w^3 + 9*w^2 - 40*w - 36]', '[2309, 2309, 3*w^3 + w^2 - 20*w - 2]', '[2309, 2309, -w^3 + w^2 + 4*w - 7]', '[2311, 2311, -9*w^3 - 10*w^2 + 55*w + 35]', '[2311, 2311, 8*w^3 + 9*w^2 - 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7*w - 19]', '[2519, 2519, -7*w^3 - 7*w^2 + 38*w + 31]', '[2519, 2519, -5*w^3 - 7*w^2 + 29*w + 34]', '[2519, 2519, 13*w^3 + 16*w^2 - 78*w - 63]', '[2519, 2519, 4*w^3 + 9*w^2 - 22*w - 50]', '[2519, 2519, -3*w^3 + w^2 + 18*w - 14]', '[2519, 2519, 4*w^3 + w^2 - 24*w - 3]', '[2519, 2519, 3*w^3 + 5*w^2 - 23*w - 7]', '[2519, 2519, 3*w^2 - 11]', '[2519, 2519, -11*w^3 - 11*w^2 + 70*w + 43]', '[2519, 2519, -5*w^3 - 6*w^2 + 32*w + 16]', '[2519, 2519, -9*w^3 - 14*w^2 + 52*w + 44]', '[2521, 2521, -11*w^3 - 16*w^2 + 66*w + 65]', '[2521, 2521, 5*w^3 + 8*w^2 - 33*w - 19]', '[2521, 2521, -3*w^3 - 8*w^2 + 18*w + 40]', '[2521, 2521, -2*w^3 - 2*w^2 + 7*w + 14]', '[2531, 2531, 2*w^3 + 3*w^2 - 11*w - 20]', '[2531, 2531, w^3 + 2*w^2 - 7*w - 16]', '[2531, 2531, -w^2 - w - 3]', '[2531, 2531, -3*w^3 - 4*w^2 + 19*w + 7]', '[2539, 2539, -w^3 + 3*w^2 + 10*w - 17]', '[2539, 2539, -14*w^3 - 19*w^2 + 87*w + 69]', '[2539, 2539, -13*w^3 - 17*w^2 + 78*w + 59]', '[2539, 2539, 7*w^3 + 8*w^2 - 47*w - 25]', '[2545, 2545, -16*w^3 - 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173]', '[5245, 5245, -39*w^3 - 50*w^2 + 245*w + 211]', '[5251, 5251, -14*w^3 - 17*w^2 + 84*w + 61]', '[5251, 5251, 15*w^3 + 20*w^2 - 93*w - 81]', '[5251, 5251, 13*w^3 + 19*w^2 - 77*w - 67]', '[5251, 5251, 9*w^3 + 13*w^2 - 56*w - 52]', '[5251, 5251, -3*w^3 - 8*w^2 + 21*w + 28]', '[5251, 5251, -8*w^3 - 8*w^2 + 47*w + 25]', '[5251, 5251, -10*w^3 - 11*w^2 + 60*w + 43]', '[5251, 5251, -8*w^3 - 11*w^2 + 43*w + 38]', '[5251, 5251, -9*w^3 - 10*w^2 + 60*w + 42]', '[5251, 5251, 10*w^3 + 12*w^2 - 67*w - 42]', '[5251, 5251, -7*w^3 - 6*w^2 + 42*w + 23]', '[5251, 5251, 5*w^3 + 9*w^2 - 32*w - 34]', '[5251, 5251, -10*w^3 - 15*w^2 + 64*w + 63]', '[5251, 5251, 8*w^3 + 12*w^2 - 50*w - 45]', '[5251, 5251, -9*w^3 - 9*w^2 + 55*w + 28]', '[5251, 5251, 6*w^3 + 10*w^2 - 38*w - 41]', '[5255, 5255, 13*w^3 + 15*w^2 - 81*w - 53]', '[5255, 5255, -19*w^3 - 22*w^2 + 119*w + 82]', '[5255, 5255, 11*w^3 + 11*w^2 - 70*w - 35]', '[5255, 5255, 17*w^3 + 18*w^2 - 108*w - 64]', '[5261, 5261, -9*w^3 - 13*w^2 + 53*w + 39]', '[5261, 5261, 12*w^3 + 17*w^2 - 72*w - 65]', '[5261, 5261, 7*w^3 + 8*w^2 - 46*w - 40]', '[5261, 5261, 2*w^3 + 6*w^2 - 11*w - 38]', '[5269, 5269, -5*w^3 - 6*w^2 + 26*w + 29]', '[5269, 5269, -6*w^3 - 7*w^2 + 34*w + 34]', '[5269, 5269, 11*w^3 + 14*w^2 - 62*w - 44]', '[5269, 5269, 2*w^3 - w^2 - 10*w + 9]', '[5269, 5269, -8*w^3 - 13*w^2 + 46*w + 44]', '[5269, 5269, w^3 - w^2 - 8*w]', '[5269, 5269, 9*w^3 + 11*w^2 - 55*w - 33]', '[5269, 5269, -13*w^3 - 16*w^2 + 80*w + 57]', '[5269, 5269, -2*w^3 + 11*w - 10]', '[5269, 5269, 9*w^3 + 12*w^2 - 53*w - 49]', '[5269, 5269, 16*w^3 + 20*w^2 - 99*w - 84]', '[5269, 5269, 4*w^2 + 2*w - 19]', '[5269, 5269, -6*w^3 - 4*w^2 + 39*w + 13]', '[5269, 5269, w^3 + 3*w^2 - 8*w - 19]', '[5269, 5269, 7*w^3 + 9*w^2 - 44*w - 27]', '[5269, 5269, -6*w^3 - 3*w^2 + 40*w - 4]', '[5275, 1055, -3*w^3 - 5*w^2 + 14*w + 21]', '[5275, 1055, -w^3 + w^2 + 10*w - 7]', '[5275, 1055, -2*w^2 - 4*w + 13]', '[5275, 1055, 2*w^3 + 4*w^2 - 8*w - 15]', '[5296, 662, -4*w^3 - 6*w^2 + 24*w + 14]', '[5296, 662, 2*w^3 + 2*w^2 - 14*w - 16]', '[5296, 662, 2*w^3 + 4*w^2 - 12*w - 26]', '[5296, 662, 2*w - 10]', '[5305, 5305, -6*w^3 - 8*w^2 + 33*w + 35]', '[5305, 5305, -10*w^3 - 13*w^2 + 62*w + 45]', '[5305, 5305, 3*w^3 + w^2 - 21*w - 4]', '[5305, 5305, -w^3 - 4*w^2 + 8*w + 21]', '[5309, 5309, -7*w^3 - 10*w^2 + 45*w + 32]', '[5309, 5309, 11*w^3 + 14*w^2 - 66*w - 57]', '[5309, 5309, 5*w^3 + 8*w^2 - 33*w - 37]', '[5309, 5309, 4*w^3 + 7*w^2 - 21*w - 35]', '[5339, 5339, -6*w^3 - 7*w^2 + 42*w + 36]', '[5339, 5339, -10*w^3 - 10*w^2 + 64*w + 41]', '[5339, 5339, -13*w^3 - 16*w^2 + 76*w + 62]', '[5339, 5339, -3*w^3 + 2*w^2 + 17*w - 17]', '[5339, 5339, 5*w^3 + 5*w^2 - 34*w - 10]', '[5339, 5339, -4*w^3 - 7*w^2 + 29*w + 16]', '[5339, 5339, 9*w^3 + 10*w^2 - 56*w - 31]', '[5339, 5339, -6*w^3 - 8*w^2 + 39*w + 24]', '[5339, 5339, 3*w^3 + 8*w^2 - 15*w - 46]', '[5339, 5339, 10*w^3 + 13*w^2 - 65*w - 59]', '[5339, 5339, w^3 + w^2 - 2*w + 2]', '[5339, 5339, 12*w^3 + 11*w^2 - 77*w - 40]', '[5339, 5339, -4*w^3 - 2*w^2 + 25*w + 9]', '[5339, 5339, -3*w^3 - 7*w^2 + 18*w + 23]', '[5339, 5339, 9*w^3 + 11*w^2 - 53*w - 46]', '[5339, 5339, -10*w^3 - 11*w^2 + 55*w + 45]', '[5345, 5345, 24*w^3 + 27*w^2 - 154*w - 107]', '[5345, 5345, -16*w^3 - 21*w^2 + 100*w + 85]', '[5345, 5345, 10*w^3 + 9*w^2 - 63*w - 27]', '[5345, 5345, 28*w^3 + 33*w^2 - 176*w - 131]', '[5401, 5401, -14*w^3 - 19*w^2 + 89*w + 73]', '[5401, 5401, -22*w^3 - 28*w^2 + 138*w + 113]', '[5401, 5401, -20*w^3 - 26*w^2 + 127*w + 107]', '[5401, 5401, 3*w^3 + 3*w^2 - 12*w - 11]', '[5401, 5401, w^2 + 5*w]', '[5401, 5401, -6*w^3 - 11*w^2 + 35*w + 46]', '[5401, 5401, -5*w^3 - 6*w^2 + 35*w + 22]', '[5401, 5401, 3*w^3 + 4*w^2 - 23*w - 13]', '[5401, 5401, 7*w^3 + 7*w^2 - 47*w - 26]', '[5401, 5401, 9*w^3 + 14*w^2 - 49*w - 55]', '[5401, 5401, 5*w^3 + 11*w^2 - 37*w - 34]', '[5401, 5401, 8*w^3 + 12*w^2 - 51*w - 46]', '[5401, 5401, 9*w^3 + 9*w^2 - 60*w - 29]', '[5401, 5401, 6*w^3 + 11*w^2 - 41*w - 42]', '[5401, 5401, -7*w^2 - 6*w + 45]', '[5401, 5401, 3*w^3 + 9*w^2 - 18*w - 38]', '[5441, 5441, 7*w^3 + 11*w^2 - 44*w - 45]', '[5441, 5441, -7*w^3 - 11*w^2 + 44*w + 41]', '[5441, 5441, 5*w^3 + 9*w^2 - 32*w - 35]', '[5441, 5441, 9*w^3 + 13*w^2 - 56*w - 51]', '[5449, 5449, w^3 + 3*w^2 - 8*w - 21]', '[5449, 5449, 7*w^3 + 9*w^2 - 44*w - 25]', '[5449, 5449, w^3 - w^2 - 8*w - 2]', '[5449, 5449, 5*w^3 + 7*w^2 - 28*w - 36]', '[5471, 5471, 4*w^3 + 5*w^2 - 29*w - 17]', '[5471, 5471, -8*w^3 - 12*w^2 + 51*w + 47]', '[5471, 5471, 7*w^3 + 12*w^2 - 41*w - 48]', '[5471, 5471, 3*w^3 + 6*w^2 - 14*w - 25]', '[5479, 5479, -5*w^3 - 8*w^2 + 34*w + 21]', '[5479, 5479, -11*w^3 - 15*w^2 + 67*w + 45]', '[5479, 5479, -3*w^3 - 8*w^2 + 26*w + 17]', '[5479, 5479, -4*w^3 - 5*w^2 + 20*w + 32]', '[5519, 5519, -8*w^3 - 10*w^2 + 47*w + 43]', '[5519, 5519, 3*w^3 + w^2 - 19*w - 6]', '[5519, 5519, -8*w^3 - 9*w^2 + 50*w + 27]', '[5519, 5519, 7*w^3 + 9*w^2 - 45*w - 29]', '[5531, 5531, -5*w^3 - 10*w^2 + 30*w + 39]', '[5531, 5531, -5*w^3 - 5*w^2 + 35*w + 14]', '[5531, 5531, -5*w - 1]', '[5531, 5531, 10*w^3 + 15*w^2 - 60*w - 61]', '[5545, 5545, -11*w^3 - 11*w^2 + 69*w + 39]', '[5545, 5545, -14*w^3 - 19*w^2 + 86*w + 76]', '[5545, 5545, 21*w^3 + 26*w^2 - 134*w - 114]', '[5545, 5545, 16*w^3 + 16*w^2 - 104*w - 59]', '[5581, 5581, 9*w^3 + 7*w^2 - 46*w - 32]', '[5581, 5581, -5*w^3 - 4*w^2 + 33*w - 1]', '[5581, 5581, -9*w^3 - 7*w^2 + 57*w + 21]', '[5581, 5581, -5*w^3 - 4*w^2 + 21*w + 26]', '[5584, 698, 4*w^3 + 10*w^2 - 32*w - 24]', '[5584, 698, 4*w^3 + 8*w^2 - 30*w - 20]', '[5584, 698, 16*w^3 + 18*w^2 - 100*w - 64]', '[5584, 698, 4*w^3 + 8*w^2 - 30*w - 18]', '[5599, 5599, -8*w^3 - 11*w^2 + 50*w + 35]', '[5599, 5599, -5*w^3 - 6*w^2 + 25*w + 30]', '[5599, 5599, -4*w^3 - 6*w^2 + 30*w + 13]', '[5599, 5599, 15*w^3 + 19*w^2 - 92*w - 69]', '[5599, 5599, -7*w^3 - 9*w^2 + 41*w + 41]', '[5599, 5599, -13*w^3 - 17*w^2 + 73*w + 55]', '[5599, 5599, 8*w^3 + 11*w^2 - 46*w - 45]', '[5599, 5599, 11*w^3 + 13*w^2 - 71*w - 47]', '[5599, 5599, 2*w^3 + w^2 - 10*w + 4]', '[5599, 5599, -10*w^3 - 16*w^2 + 58*w + 55]', '[5599, 5599, 2*w^2 - 3*w - 11]', '[5599, 5599, w^3 + 6*w^2 - 4*w - 28]', '[5599, 5599, -2*w^3 - 7*w^2 + 13*w + 37]', '[5599, 5599, 19*w^3 + 24*w^2 - 118*w - 100]', '[5599, 5599, w^3 - w^2 - 9*w]', '[5599, 5599, -7*w^3 - 5*w^2 + 46*w + 16]', '[5605, 5605, -10*w^3 - 13*w^2 + 58*w + 51]', '[5605, 5605, -9*w^3 - 12*w^2 + 59*w + 52]', '[5605, 5605, -5*w^3 - 8*w^2 + 35*w + 23]', '[5605, 5605, 3*w^3 + 5*w^2 - 13*w - 30]', '[5605, 5605, 5*w^3 + 7*w^2 - 28*w - 35]', '[5605, 5605, -18*w^3 - 23*w^2 + 112*w + 87]', '[5605, 5605, 11*w^3 + 15*w^2 - 64*w - 58]', '[5605, 5605, 6*w^3 + 11*w^2 - 38*w - 53]', '[5605, 5605, -w^3 + w^2 + 2*w - 5]', '[5605, 5605, 19*w^3 + 24*w^2 - 117*w - 97]', '[5605, 5605, 11*w^3 + 13*w^2 - 70*w - 47]', '[5605, 5605, -4*w^3 - 9*w^2 + 21*w + 46]', '[5605, 5605, 11*w^3 + 16*w^2 - 68*w - 53]', '[5605, 5605, -12*w^3 - 16*w^2 + 67*w + 61]', '[5605, 5605, -w^3 - 6*w^2 + 10*w + 25]', '[5605, 5605, -11*w^3 - 16*w^2 + 67*w + 72]', '[5651, 5651, -11*w^3 - 12*w^2 + 67*w + 40]', '[5651, 5651, w^3 + 3*w^2 - 5*w - 23]', '[5651, 5651, 10*w^3 + 11*w^2 - 59*w - 43]', '[5651, 5651, -7*w^3 - 6*w^2 + 41*w + 17]', '[5659, 5659, -7*w^3 - 5*w^2 + 34*w + 28]', '[5659, 5659, -7*w^3 - 5*w^2 + 47*w + 7]', '[5659, 5659, -8*w^3 - 10*w^2 + 43*w + 32]', '[5659, 5659, 4*w^3 + 2*w^2 - 17*w - 19]', '[5669, 5669, -6*w^3 - 7*w^2 + 33*w + 32]', '[5669, 5669, 8*w^3 + 12*w^2 - 47*w - 52]', '[5669, 5669, -11*w^3 - 14*w^2 + 67*w + 47]', '[5669, 5669, 6*w^3 + 7*w^2 - 40*w - 20]', '[5680, 710, 8*w^3 + 12*w^2 - 46*w - 50]', '[5680, 710, 24*w^3 + 30*w^2 - 148*w - 114]', '[5680, 710, -26*w^3 - 36*w^2 + 164*w + 164]', '[5680, 710, -6*w^3 - 6*w^2 + 34*w + 14]', '[5689, 5689, -9*w^3 - 8*w^2 + 58*w + 30]', '[5689, 5689, 15*w^3 + 19*w^2 - 92*w - 78]', '[5689, 5689, -11*w^3 - 13*w^2 + 72*w + 46]', '[5689, 5689, -15*w^3 - 19*w^2 + 91*w + 67]', '[5725, 1145, 8*w^3 + 8*w^2 - 53*w - 23]', '[5725, 1145, -2*w^3 - 7*w^2 + 12*w + 27]', '[5725, 1145, 3*w^3 + 3*w^2 - 13*w - 8]', '[5725, 1145, 4*w^2 - 2*w - 21]', '[5741, 5741, 4*w^3 + 9*w^2 - 24*w - 37]', '[5741, 5741, -11*w^3 - 16*w^2 + 66*w + 63]', '[5741, 5741, -6*w^3 - 6*w^2 + 41*w + 19]', '[5741, 5741, w^3 + w^2 - w - 4]', '[5751, 213, 9*w^3 + 9*w^2 - 51*w - 30]', '[5751, 213, 6*w^3 + 12*w^2 - 36*w - 45]', '[5751, 213, 15*w^3 + 21*w^2 - 90*w - 75]', '[5751, 213, -12*w^3 - 18*w^2 + 72*w + 75]', '[5776, 38, -10*w^3 - 10*w^2 + 66*w + 38]', '[5776, 38, -8*w^3 - 8*w^2 + 48*w + 26]', '[5776, 38, -8*w^3 - 8*w^2 + 48*w + 30]', '[5776, 38, -16*w^3 - 22*w^2 + 96*w + 80]', '[5776, 38, 4*w^3 + 4*w^2 - 18*w - 20]', '[5776, 38, -2*w^3 - 8*w^2 + 12*w + 40]', '[5776, 722, 6*w^3 + 10*w^2 - 38*w - 38]', '[5776, 722, 8*w^3 + 12*w^2 - 50*w - 48]', '[5776, 722, -2*w^2 - 4*w + 12]', '[5776, 722, -2*w^3 - 4*w^2 + 8*w + 16]', '[5791, 5791, -13*w^3 - 15*w^2 + 78*w + 59]', '[5791, 5791, -11*w^3 - 11*w^2 + 68*w + 34]', '[5791, 5791, 15*w^3 + 21*w^2 - 91*w - 85]', '[5791, 5791, -9*w^3 - 9*w^2 + 52*w + 28]', '[5821, 5821, 15*w^3 + 18*w^2 - 90*w - 62]', '[5821, 5821, 16*w^3 + 21*w^2 - 100*w - 83]', '[5821, 5821, -12*w^3 - 12*w^2 + 75*w + 46]', '[5821, 5821, -9*w^3 - 9*w^2 + 51*w + 37]', '[5855, 5855, -20*w^3 - 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72*w - 66]', '[9680, 1210, -4*w^3 - 8*w^2 + 22*w + 26]', '[9680, 1210, -6*w^3 - 8*w^2 + 40*w + 22]', '[9680, 1210, 6*w^3 + 10*w^2 - 34*w - 48]', '[9680, 1210, -4*w^3 - 6*w^2 + 28*w + 30]', '[9719, 9719, -4*w^3 - 2*w^2 + 25*w + 12]', '[9719, 9719, 9*w^3 + 11*w^2 - 53*w - 49]', '[9719, 9719, 4*w^3 + 3*w^2 - 22*w - 2]', '[9719, 9719, 9*w^3 + 10*w^2 - 56*w - 28]', '[9745, 9745, -23*w^3 - 26*w^2 + 144*w + 97]', '[9745, 9745, 25*w^3 + 33*w^2 - 157*w - 140]', '[9745, 9745, -15*w^3 - 16*w^2 + 94*w + 60]', '[9745, 9745, -16*w^3 - 22*w^2 + 98*w + 89]', '[9749, 9749, -7*w^3 - 12*w^2 + 48*w + 29]', '[9749, 9749, -11*w^3 - 9*w^2 + 69*w + 34]', '[9749, 9749, -18*w^3 - 21*w^2 + 110*w + 71]', '[9749, 9749, -7*w^3 - 4*w^2 + 40*w + 5]', '[9751, 1393, 3*w^3 + 7*w^2 - 12*w - 38]', '[9751, 1393, 7*w^3 + 5*w^2 - 48*w - 10]', '[9751, 1393, -17*w^3 - 23*w^2 + 104*w + 91]', '[9751, 1393, -11*w^3 - 17*w^2 + 70*w + 59]', '[9781, 9781, -15*w^3 - 18*w^2 + 87*w + 61]', '[9781, 9781, 13*w^3 + 13*w^2 - 81*w - 50]', '[9781, 9781, 18*w^3 + 21*w^2 - 111*w - 83]', '[9781, 9781, 17*w^3 + 24*w^2 - 101*w - 91]', '[9801, 33, 9*w^3 + 9*w^2 - 54*w - 33]', '[9801, 33, 15*w^3 + 18*w^2 - 90*w - 66]', '[9801, 33, -9*w^3 - 9*w^2 + 51*w + 33]', '[9801, 33, -12*w^3 - 12*w^2 + 75*w + 42]', '[9801, 33, 9*w^3 + 9*w^2 - 54*w - 30]', '[9801, 33, 6*w^3 + 3*w^2 - 36*w - 6]', '[9801, 363, 3*w^3 + 9*w^2 - 18*w - 42]', '[9801, 363, 15*w^3 + 21*w^2 - 90*w - 78]', '[9801, 363, 9*w^3 + 9*w^2 - 60*w - 33]', '[9801, 363, -3*w^3 - 3*w^2 + 12*w + 15]', '[9811, 9811, 11*w^3 + 12*w^2 - 66*w - 46]', '[9811, 9811, 8*w^3 + 7*w^2 - 48*w - 26]', '[9811, 9811, -9*w^3 - 9*w^2 + 53*w + 29]', '[9811, 9811, -10*w^3 - 10*w^2 + 61*w + 32]', '[9851, 9851, 2*w^3 + 4*w^2 - 7*w - 13]', '[9851, 9851, -10*w^3 - 15*w^2 + 62*w + 63]', '[9851, 9851, -w^3 + w^2 + 11*w - 12]', '[9851, 9851, 7*w^3 + 12*w^2 - 44*w - 43]', '[9859, 9859, 17*w^3 + 21*w^2 - 102*w - 83]', '[9859, 9859, 18*w^3 + 21*w^2 - 113*w - 78]', '[9859, 9859, 7*w^3 + 11*w^2 - 46*w - 31]', '[9859, 9859, 5*w^3 + 10*w^2 - 37*w - 23]', '[9869, 9869, -17*w^3 - 22*w^2 + 104*w + 90]', '[9869, 9869, w^3 + 7*w^2 - 11*w - 16]', '[9869, 9869, 10*w^3 + 13*w^2 - 59*w - 64]', '[9869, 9869, 6*w^3 + 6*w^2 - 30*w - 31]', '[9869, 9869, -6*w^3 - 6*w^2 + 29*w + 32]', '[9869, 9869, -13*w^3 - 18*w^2 + 73*w + 69]', '[9869, 9869, -9*w^3 - 15*w^2 + 59*w + 41]', '[9869, 9869, -7*w^3 - 14*w^2 + 43*w + 47]', '[9869, 9869, 4*w^3 + 11*w^2 - 34*w - 24]', '[9869, 9869, 9*w^3 + 10*w^2 - 57*w - 21]', '[9869, 9869, -18*w^3 - 23*w^2 + 108*w + 79]', '[9869, 9869, 11*w^3 + 16*w^2 - 68*w - 49]', '[9869, 9869, 7*w^3 + 13*w^2 - 48*w - 36]', '[9869, 9869, -9*w^3 - 11*w^2 + 49*w + 35]', '[9869, 9869, 5*w^3 + 8*w^2 - 36*w - 15]', '[9869, 9869, 7*w^3 + 9*w^2 - 45*w - 23]', '[9871, 9871, -15*w^3 - 21*w^2 + 90*w + 79]', '[9871, 9871, -9*w^3 - 9*w^2 + 60*w + 32]', '[9871, 9871, -11*w^3 - 14*w^2 + 67*w + 67]', '[9871, 9871, 6*w^3 + 7*w^2 - 33*w - 12]', '[9895, 9895, 16*w^3 + 22*w^2 - 100*w - 101]', '[9895, 9895, -27*w^3 - 36*w^2 + 168*w + 152]', '[9895, 9895, 3*w^3 + w^2 - 23*w - 1]', '[9895, 9895, 26*w^3 + 31*w^2 - 162*w - 122]', '[9904, 1238, -18*w^3 - 22*w^2 + 110*w + 78]', '[9904, 1238, -10*w^3 - 8*w^2 + 64*w + 28]', '[9904, 1238, 14*w^3 + 18*w^2 - 84*w - 72]', '[9904, 1238, 8*w^3 + 12*w^2 - 52*w - 54]', '[9929, 9929, 10*w^3 + 11*w^2 - 64*w - 36]', '[9929, 9929, 3*w^3 + 2*w^2 - 14*w - 4]', '[9929, 9929, -w^3 + 3*w^2 + 7*w - 13]', '[9929, 9929, -12*w^3 - 16*w^2 + 71*w + 64]', '[9941, 9941, 16*w^3 + 17*w^2 - 100*w - 67]', '[9941, 9941, -18*w^3 - 22*w^2 + 107*w + 75]', '[9941, 9941, -16*w^3 - 23*w^2 + 95*w + 89]', '[9941, 9941, -11*w^3 - 12*w^2 + 73*w + 42]', '[10000, 10, 10]'], 'label': '4.4.6125.1', 'narrow_class_no': 2, 'primes': ['[5, 5, -2*w^3 - 2*w^2 + 13*w + 8]', '[11, 11, 2*w^3 + 3*w^2 - 12*w - 11]', '[11, 11, -w^3 - 2*w^2 + 6*w + 9]', '[11, 11, w^3 + w^2 - 7*w - 4]', '[11, 11, w - 1]', '[16, 2, 2]', '[19, 19, -w^2 + 4]', '[19, 19, 2*w^3 + 2*w^2 - 13*w - 6]', '[19, 19, 3*w^3 + 4*w^2 - 18*w - 16]', '[19, 19, -w^3 - w^2 + 5*w + 3]', '[49, 7, 2*w^3 + 3*w^2 - 13*w - 15]', '[59, 59, -3*w^3 - 4*w^2 + 19*w + 14]', '[59, 59, 3*w^3 + 4*w^2 - 18*w - 17]', '[59, 59, 2*w^3 + 3*w^2 - 11*w - 13]', '[59, 59, -w^3 - 2*w^2 + 7*w + 9]', '[71, 71, 3*w^3 + 3*w^2 - 17*w - 10]', '[71, 71, -2*w^3 - w^2 + 14*w + 2]', '[71, 71, 5*w^3 + 7*w^2 - 30*w - 25]', '[71, 71, -3*w^3 - 4*w^2 + 16*w + 16]', '[81, 3, -3]', '[89, 89, -2*w^3 - 2*w^2 + 13*w + 4]', '[89, 89, 3*w^3 + 4*w^2 - 17*w - 16]', '[89, 89, 3*w^3 + 4*w^2 - 18*w - 18]', '[89, 89, -4*w^3 - 5*w^2 + 25*w + 18]', '[139, 139, -w^3 + 6*w + 1]', '[139, 139, -3*w^3 - 3*w^2 + 19*w + 8]', '[139, 139, 4*w^3 + 5*w^2 - 24*w - 21]', '[139, 139, -2*w^3 - 2*w^2 + 11*w + 5]', '[151, 151, -6*w^3 - 7*w^2 + 37*w + 27]', '[151, 151, 3*w^3 + 5*w^2 - 19*w - 17]', '[151, 151, -6*w^3 - 8*w^2 + 37*w + 31]', '[151, 151, 4*w^3 + 6*w^2 - 25*w - 26]', '[191, 191, 5*w^3 + 7*w^2 - 31*w - 26]', '[191, 191, -2*w^3 - 3*w^2 + 10*w + 13]', '[191, 191, -5*w^3 - 7*w^2 + 31*w + 29]', '[191, 191, 2*w^3 + 4*w^2 - 13*w - 17]', '[199, 199, 2*w^3 + 4*w^2 - 11*w - 20]', '[199, 199, -2*w^3 - 2*w^2 + 11*w + 3]', '[199, 199, 3*w^3 + 5*w^2 - 17*w - 17]', '[199, 199, 3*w^3 + 3*w^2 - 19*w - 6]', '[211, 211, 3*w^3 + 5*w^2 - 18*w - 19]', '[211, 211, -3*w^3 - 5*w^2 + 18*w + 21]', '[211, 211, 2*w^3 + 4*w^2 - 12*w - 17]', '[211, 211, -4*w^3 - 6*w^2 + 24*w + 23]', '[229, 229, 2*w^3 + 4*w^2 - 13*w - 19]', '[229, 229, -2*w^3 - 3*w^2 + 10*w + 15]', '[229, 229, -5*w^3 - 7*w^2 + 31*w + 24]', '[229, 229, 2*w^3 + 2*w^2 - 14*w - 3]', '[269, 269, 2*w^3 + w^2 - 11*w - 1]', '[269, 269, -6*w^3 - 7*w^2 + 37*w + 24]', '[269, 269, 5*w^3 + 6*w^2 - 29*w - 24]', '[269, 269, 3*w^3 + 2*w^2 - 19*w - 7]', '[281, 281, -4*w^3 - 6*w^2 + 25*w + 25]', '[281, 281, -5*w^3 - 7*w^2 + 31*w + 27]', '[281, 281, w^2 + 2*w - 7]', '[281, 281, 3*w^3 + 5*w^2 - 19*w - 18]', '[331, 331, -2*w^3 - 3*w^2 + 12*w + 7]', '[331, 331, w^3 + w^2 - 7*w - 8]', '[331, 331, w^3 + 2*w^2 - 6*w - 13]', '[331, 331, w - 5]', '[349, 349, 2*w^3 + 5*w^2 - 16*w - 12]', '[349, 349, 2*w^3 + 4*w^2 - 15*w - 10]', '[349, 349, 8*w^3 + 9*w^2 - 50*w - 32]', '[349, 349, 2*w^3 + 4*w^2 - 15*w - 9]', '[401, 401, 4*w^3 + 3*w^2 - 21*w - 12]', '[401, 401, 3*w^3 + 2*w^2 - 16*w - 9]', '[401, 401, -3*w^3 - 6*w^2 + 20*w + 19]', '[401, 401, -4*w^3 - 3*w^2 + 27*w + 9]', '[409, 409, -5*w^3 - 6*w^2 + 31*w + 20]', '[409, 409, 3*w^3 + 4*w^2 - 20*w - 12]', '[409, 409, -3*w^3 - 5*w^2 + 17*w + 23]', '[409, 409, 4*w^3 + 5*w^2 - 23*w - 21]', '[419, 419, -4*w^3 - 4*w^2 + 21*w + 18]', '[419, 419, -4*w^3 - 4*w^2 + 20*w + 19]', '[419, 419, -3*w^3 - 4*w^2 + 16*w + 18]', '[419, 419, -2*w^3 - w^2 + 8*w + 10]', '[421, 421, -6*w^3 - 7*w^2 + 36*w + 26]', '[421, 421, 5*w^3 + 5*w^2 - 31*w - 17]', '[421, 421, 3*w^3 + 2*w^2 - 18*w - 6]', '[421, 421, 4*w^3 + 4*w^2 - 23*w - 14]', '[431, 431, 6*w^3 + 7*w^2 - 36*w - 25]', '[431, 431, -3*w^3 - 2*w^2 + 18*w + 5]', '[431, 431, 4*w^3 + 4*w^2 - 23*w - 15]', '[431, 431, -5*w^3 - 5*w^2 + 31*w + 18]', '[439, 439, w^3 + w^2 - 4*w - 1]', '[439, 439, w^3 + 3*w^2 - 6*w - 10]', '[439, 439, 3*w^3 + 3*w^2 - 20*w - 7]', '[439, 439, 5*w^3 + 7*w^2 - 30*w - 30]', '[479, 479, -4*w^3 - 5*w^2 + 25*w + 15]', '[479, 479, -5*w^3 - 6*w^2 + 32*w + 21]', '[479, 479, 5*w^3 + 7*w^2 - 29*w - 28]', '[479, 479, 2*w^2 + w - 9]', '[491, 491, 7*w^3 + 8*w^2 - 43*w - 31]', '[491, 491, 6*w^3 + 6*w^2 - 37*w - 24]', '[491, 491, 4*w^3 + 3*w^2 - 24*w - 6]', '[491, 491, 5*w^3 + 5*w^2 - 29*w - 21]', '[509, 509, -4*w^3 - 5*w^2 + 25*w + 14]', '[509, 509, -3*w^3 - 4*w^2 + 17*w + 20]', '[509, 509, -6*w^3 - 7*w^2 + 38*w + 25]', '[509, 509, -6*w^3 - 8*w^2 + 35*w + 31]', '[541, 541, 9*w^3 + 12*w^2 - 55*w - 46]', '[541, 541, w^3 + 4*w^2 - 7*w - 17]', '[541, 541, -4*w^3 - 5*w^2 + 21*w + 19]', '[541, 541, -4*w^3 - 3*w^2 + 27*w + 8]', '[571, 571, -3*w^3 - 6*w^2 + 18*w + 23]', '[571, 571, 6*w^3 + 9*w^2 - 36*w - 37]', '[571, 571, 7*w^3 + 10*w^2 - 42*w - 36]', '[571, 571, 2*w^3 + 5*w^2 - 12*w - 24]', '[619, 619, -9*w^3 - 11*w^2 + 55*w + 39]', '[619, 619, -5*w^3 - 4*w^2 + 32*w + 14]', '[619, 619, 7*w^3 + 9*w^2 - 42*w - 36]', '[619, 619, 4*w^3 + 6*w^2 - 26*w - 27]', '[631, 631, 2*w^3 + 5*w^2 - 12*w - 21]', '[631, 631, -7*w^3 - 10*w^2 + 42*w + 39]', '[631, 631, 4*w^3 + 4*w^2 - 27*w - 13]', '[631, 631, w^3 + w^2 - 3*w - 4]', '[641, 641, -9*w^3 - 10*w^2 + 56*w + 36]', '[641, 641, -5*w^3 - 9*w^2 + 30*w + 32]', '[641, 641, -3*w^3 - 6*w^2 + 19*w + 21]', '[641, 641, 4*w^3 + 3*w^2 - 22*w - 10]', '[701, 701, -2*w^3 - 5*w^2 + 14*w + 20]', '[701, 701, -6*w^3 - 7*w^2 + 36*w + 34]', '[701, 701, 4*w^3 + 6*w^2 - 23*w - 17]', '[701, 701, -9*w^3 - 12*w^2 + 56*w + 46]', '[719, 719, 3*w^3 + 5*w^2 - 17*w - 25]', '[719, 719, -3*w^3 - 2*w^2 + 17*w + 3]', '[719, 719, 7*w^3 + 8*w^2 - 43*w - 26]', '[719, 719, -6*w^3 - 7*w^2 + 35*w + 29]', '[751, 751, 2*w^3 + 2*w^2 - 15*w - 4]', '[751, 751, 5*w^3 + 8*w^2 - 30*w - 34]', '[751, 751, w^3 + w^2 - 9*w - 5]', '[751, 751, -4*w^3 - 7*w^2 + 24*w + 26]', '[769, 769, 6*w^3 + 8*w^2 - 37*w - 27]', '[769, 769, -w^3 - 3*w^2 + 7*w + 16]', '[769, 769, 2*w^3 + w^2 - 14*w - 5]', '[769, 769, -3*w^3 - 4*w^2 + 16*w + 19]', '[821, 821, 6*w^3 + 6*w^2 - 37*w - 23]', '[821, 821, 5*w^3 + 5*w^2 - 29*w - 20]', '[821, 821, -7*w^3 - 8*w^2 + 42*w + 27]', '[821, 821, 4*w^3 + 3*w^2 - 24*w - 7]', '[829, 829, 7*w^3 + 8*w^2 - 44*w - 28]', '[829, 829, 7*w^3 + 9*w^2 - 41*w - 35]', '[829, 829, -2*w^3 - w^2 + 10*w + 2]', '[829, 829, 2*w^3 - 13*w + 2]', '[839, 839, 4*w^3 + 8*w^2 - 25*w - 26]', '[839, 839, -3*w^3 - 3*w^2 + 15*w + 16]', '[839, 839, -w^3 - 4*w^2 + 8*w + 10]', '[839, 839, -3*w^3 - 7*w^2 + 18*w + 26]', '[841, 29, -5*w^3 - 5*w^2 + 30*w + 16]', '[841, 29, -5*w^3 - 5*w^2 + 30*w + 19]', '[859, 859, 5*w^3 + 6*w^2 - 32*w - 20]', '[859, 859, -4*w^3 - 5*w^2 + 23*w + 23]', '[859, 859, -5*w^3 - 6*w^2 + 31*w + 18]', '[859, 859, -2*w^3 - w^2 + 13*w + 6]', '[911, 911, 9*w^3 + 12*w^2 - 56*w - 48]', '[911, 911, 6*w^3 + 5*w^2 - 38*w - 14]', '[911, 911, 7*w^3 + 8*w^2 - 40*w - 28]', '[911, 911, 10*w^3 + 12*w^2 - 61*w - 46]', '[929, 929, -7*w^3 - 10*w^2 + 39*w + 39]', '[929, 929, -10*w^3 - 13*w^2 + 60*w + 45]', '[929, 929, -6*w^3 - 7*w^2 + 32*w + 29]', '[929, 929, -3*w^3 - w^2 + 12*w + 12]', '[961, 31, -5*w^3 - 5*w^2 + 30*w + 17]', '[961, 31, -5*w^3 - 5*w^2 + 30*w + 18]', '[991, 991, 10*w^3 + 12*w^2 - 61*w - 45]', '[991, 991, -6*w^3 - 9*w^2 + 38*w + 38]', '[991, 991, 6*w^3 + 8*w^2 - 37*w - 38]', '[991, 991, -8*w^3 - 11*w^2 + 49*w + 43]']}
86. label: 4.4.6224.1
    {'degree': 4, 'discriminant': 6224, 'ideals': ['[1, 1, 1]', '[2, 2, w^3 - w^2 - 4*w + 2]', '[4, 2, -w^3 + 2*w^2 + 3*w - 4]', '[5, 5, w]', '[7, 7, -w^3 + w^2 + 3*w - 2]', '[8, 2, w^3 - w^2 - 3*w + 1]', '[10, 10, w^3 - w^2 - 4*w]', '[13, 13, -w^3 + 4*w + 2]', '[14, 14, w^2 - w - 2]', '[16, 2, 2]', '[19, 19, w^3 - w^2 - 5*w + 2]', '[20, 10, -w^2 + 5]', '[25, 25, w^3 - w^2 - 5*w]', '[26, 26, -w^3 + 2*w^2 + 4*w - 3]', '[28, 14, w^3 - 2*w^2 - 3*w + 6]', '[29, 29, -w^2 - w + 3]', '[29, 29, w^2 - w - 1]', '[32, 4, 2*w^3 - 2*w^2 - 8*w + 4]', '[35, 35, w^3 - 4*w]', '[37, 37, -w^2 + 2*w + 2]', '[37, 37, -w^3 + 5*w + 1]', '[38, 38, -w - 3]', '[40, 10, -w^3 - w^2 + 5*w + 5]', '[41, 41, -w^3 + 2*w^2 + 3*w - 7]', '[47, 47, w^3 - 2*w^2 - 4*w + 2]', '[47, 47, 2*w^3 - 3*w^2 - 8*w + 6]', '[49, 49, w^3 - 2*w^2 - 5*w + 3]', '[50, 50, -w^3 + 2*w^2 + 2*w - 5]', '[52, 26, w^2 - 2*w - 3]', '[56, 14, -w^3 + w^2 + 5*w + 1]', '[58, 58, 2*w^3 - 3*w^2 - 7*w + 8]', '[58, 58, 2*w^2 - w - 7]', '[59, 59, -2*w^3 + w^2 + 7*w - 3]', '[64, 4, -2*w^3 + 4*w^2 + 6*w - 8]', '[65, 65, -2*w^2 + 5]', '[67, 67, w^3 - 2*w^2 - 3*w + 1]', '[70, 70, w^3 - w^2 - 2*w]', '[73, 73, -2*w - 1]', '[74, 74, -w^3 + 4*w - 1]', '[74, 74, -w^3 - w^2 + 4*w + 6]', '[76, 38, -w^3 + 2*w^2 + w - 4]', '[79, 79, 2*w^2 - 2*w - 9]', '[80, 10, 2*w]', '[81, 3, -3]', '[82, 82, -4*w^3 + 4*w^2 + 17*w - 9]', '[91, 91, 2*w^3 - 2*w^2 - 8*w + 1]', '[94, 94, -w^2 - w + 4]', '[94, 94, 4*w^3 - 6*w^2 - 17*w + 17]', '[95, 95, -w^3 + w^2 + 4*w - 5]', '[97, 97, -3*w + 2]', '[98, 98, -w^3 + 6*w + 3]', '[100, 50, -w^3 + 5*w]', '[101, 101, w^3 - 3*w^2 - w + 4]', '[101, 101, 2*w^3 - w^2 - 9*w + 1]', '[103, 103, -3*w^3 + 2*w^2 + 13*w - 1]', '[103, 103, -2*w^3 + 2*w^2 + 9*w - 2]', '[104, 26, w^3 - 3*w^2 - 3*w + 9]', '[107, 107, w^3 - 3*w^2 - 3*w + 6]', '[107, 107, -2*w^2 + w + 4]', '[109, 109, w^2 + 2*w + 2]', '[109, 109, -2*w^3 + 2*w^2 + 7*w - 4]', '[112, 14, -2*w^3 + 2*w^2 + 6*w - 4]', '[113, 113, -2*w^3 + 2*w^2 + 7*w - 2]', '[116, 58, -2*w^3 + 3*w^2 + 6*w - 7]', '[116, 58, -w^3 + 2*w^2 + 5*w - 2]', '[118, 118, -4*w^3 + 5*w^2 + 15*w - 16]', '[121, 11, w^3 - 3*w - 3]', '[121, 11, -2*w^2 + 3*w + 6]', '[125, 5, w^3 - 6*w - 2]', '[125, 125, -w^3 + w^2 + 2*w - 5]', '[127, 127, -w^3 + 2*w^2 + 2*w - 6]', '[128, 4, 2*w^3 - 2*w^2 - 6*w + 2]', '[130, 130, w^3 - w^2 - 6*w]', '[133, 133, 2*w^3 - 3*w^2 - 7*w + 3]', '[134, 134, 2*w^3 - 2*w^2 - 7*w + 3]', '[140, 70, -2*w^3 + 3*w^2 + 8*w - 5]', '[145, 145, -2*w^3 + 4*w^2 + 7*w - 10]', '[145, 145, -2*w^3 + w^2 + 8*w]', '[146, 146, w^3 - 3*w^2 - 4*w + 8]', '[148, 74, 2*w^3 - w^2 - 8*w - 1]', '[148, 74, w^2 + 1]', '[149, 149, -w^3 - 2*w^2 + 3*w + 7]', '[149, 149, w^3 + w^2 - 5*w - 4]', '[151, 151, -2*w^3 + 4*w^2 + 7*w - 6]', '[151, 151, -w^3 + 3*w^2 + 3*w - 8]', '[152, 38, w^3 - 3*w^2 - 3*w + 7]', '[157, 157, -w^3 + 2*w^2 + 5*w - 1]', '[157, 157, -3*w^3 + 4*w^2 + 10*w - 8]', '[157, 157, w^3 - w^2 - 2*w - 3]', '[157, 157, -w^2 + 2*w + 8]', '[158, 158, 2*w^3 - 4*w^2 - 7*w + 9]', '[160, 20, 2*w^3 - 2*w^2 - 8*w]', '[162, 6, -3*w^3 + 3*w^2 + 12*w - 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10]', '[1718, 1718, -2*w^3 + 13*w + 9]', '[1721, 1721, -w^3 + 2*w^2 + 2*w - 12]', '[1721, 1721, w^3 - w^2 - 3]', '[1723, 1723, 5*w^3 - 4*w^2 - 22*w + 2]', '[1723, 1723, 3*w^3 + w^2 - 17*w - 12]', '[1724, 862, 2*w^3 - 5*w^2 - 10*w + 7]', '[1726, 1726, -5*w^3 + 9*w^2 + 20*w - 24]', '[1729, 1729, w^3 - 2*w^2 - 8*w + 2]', '[1730, 1730, -2*w^3 + 6*w^2 + 9*w - 15]', '[1732, 866, -6*w^3 + 9*w^2 + 22*w - 17]', '[1733, 1733, 3*w^3 - 5*w^2 - 12*w + 7]', '[1733, 1733, 2*w^3 - w^2 - 5*w - 3]', '[1735, 1735, 3*w^3 - w^2 - 9*w]', '[1739, 1739, -4*w^3 + 8*w^2 + 9*w - 16]', '[1739, 1739, -w^3 + 5*w^2 + 2*w - 13]', '[1739, 1739, -6*w^3 + 10*w^2 + 20*w - 23]', '[1739, 1739, -5*w^3 + 9*w^2 + 19*w - 24]', '[1741, 1741, 2*w^3 + w^2 - 7*w - 9]', '[1741, 1741, w^3 + 3*w^2 - 5*w - 18]', '[1742, 1742, w^3 - 6*w - 9]', '[1744, 218, -4*w^3 + 8*w^2 + 10*w - 8]', '[1744, 218, -4*w^3 + 4*w^2 + 14*w - 8]', '[1747, 1747, 5*w^3 - 3*w^2 - 24*w + 1]', '[1747, 1747, 2*w^3 - 2*w^2 - 4*w - 1]', '[1750, 70, 2*w^3 - 7*w - 9]', '[1750, 1750, -3*w^3 + w^2 + 10*w]', '[1754, 1754, 3*w^3 - 2*w^2 - 14*w + 7]', '[1757, 1757, 3*w^3 - 8*w^2 - 11*w + 9]', '[1757, 1757, 2*w^3 + 3*w^2 - 11*w - 13]', '[1759, 1759, -6*w^3 + 8*w^2 + 19*w - 18]', '[1759, 1759, 2*w^3 + w^2 - 8*w - 2]', '[1762, 1762, 6*w^3 - 11*w^2 - 19*w + 22]', '[1762, 1762, -6*w^3 + 8*w^2 + 27*w - 19]', '[1772, 886, w^3 - 9*w + 4]', '[1774, 1774, -6*w^3 + 10*w^2 + 25*w - 31]', '[1774, 1774, 5*w^3 - 9*w^2 - 18*w + 22]', '[1777, 1777, w^3 - 5*w^2 + 9]', '[1778, 1778, -4*w^3 + 4*w^2 + 13*w - 3]', '[1783, 1783, -w^3 + 9*w + 7]', '[1783, 1783, 4*w^3 - 6*w^2 - 14*w + 7]', '[1784, 446, 3*w^3 - w^2 - 9*w + 1]', '[1786, 1786, -3*w^3 + 5*w^2 + 14*w - 8]', '[1786, 1786, -w^3 + 4*w^2 + 8*w - 1]', '[1787, 1787, w^3 + w^2 - 5*w - 12]', '[1787, 1787, -5*w^3 + 6*w^2 + 23*w - 13]', '[1789, 1789, -2*w^3 + 5*w^2 + 5*w - 17]', '[1789, 1789, -3*w^3 + 11*w - 1]', '[1790, 1790, -w^3 + 3*w^2 + 2*w]', '[1792, 28, -4*w^3 + 4*w^2 + 12*w - 8]', '[1796, 898, w^2 - 6*w + 7]', '[1796, 898, 5*w^3 - 10*w^2 - 15*w + 18]', '[1801, 1801, 4*w^3 - 8*w^2 - 13*w + 18]', '[1805, 1805, -w^3 - w^2 + 3*w + 10]', '[1808, 226, -4*w^3 + 4*w^2 + 14*w - 4]', '[1810, 1810, -4*w^3 + 5*w^2 + 11*w]', '[1811, 1811, -w^3 + w^2 + 2*w - 9]', '[1811, 1811, w^3 + 5*w^2 - 7*w - 18]', '[1813, 1813, -3*w^3 + 5*w^2 + 9*w - 14]', '[1813, 1813, -2*w^3 + 6*w^2 + 8*w - 17]', '[1814, 1814, w^3 + 3*w^2 - 4*w - 14]', '[1814, 1814, -4*w^3 + 6*w^2 + 15*w - 21]', '[1814, 1814, -5*w^3 + 7*w^2 + 18*w - 22]', '[1814, 1814, 4*w^3 - 9*w^2 - 15*w + 28]', '[1816, 454, -5*w^3 + 9*w^2 + 13*w - 17]', '[1816, 454, -3*w^3 + 5*w^2 + 11*w - 1]', '[1820, 910, -w^3 - 2*w^2 + 3*w + 10]', '[1822, 1822, -5*w^3 + 7*w^2 + 22*w - 14]', '[1822, 1822, -3*w^3 + 7*w^2 + 10*w - 6]', '[1822, 1822, w^3 - 5*w^2 - 2*w + 14]', '[1822, 1822, 3*w^3 - 4*w^2 - 12*w + 1]', '[1825, 1825, w^3 - w^2 + w + 10]', '[1828, 914, -6*w^3 + 9*w^2 + 20*w - 13]', '[1831, 1831, -w^3 + 5*w^2 + 4*w - 11]', '[1835, 1835, 2*w^3 - 2*w^2 - 3*w]', '[1835, 1835, -w^3 + w^2 + w - 10]', '[1838, 1838, -6*w^3 + 7*w^2 + 27*w - 16]', '[1841, 1841, 2*w^3 + w^2 - 7*w + 1]', '[1841, 1841, -5*w^3 + 10*w^2 + 16*w - 18]', '[1843, 1843, w^3 - 6*w^2 - w + 21]', '[1850, 1850, -5*w^3 + 9*w^2 + 18*w - 20]', '[1850, 1850, 4*w^3 - 3*w^2 - 15*w]', '[1852, 926, 3*w^3 - 4*w^2 - 15*w + 18]', '[1856, 116, -4*w^3 + 6*w^2 + 12*w - 14]', '[1856, 116, -2*w^3 + 4*w^2 + 10*w - 4]', '[1861, 1861, 2*w^3 - 5*w^2 - 11*w + 7]', '[1861, 1861, -w^3 - 3*w^2 + 3*w + 12]', '[1862, 1862, -4*w^3 + 7*w^2 + 15*w - 12]', '[1867, 1867, -4*w^3 + w^2 + 15*w + 7]', '[1871, 1871, -2*w^3 + 4*w^2 + 5*w - 14]', '[1874, 1874, -4*w^2 + 3*w + 9]', '[1876, 938, 3*w^3 - 6*w^2 - 7*w + 14]', '[1877, 1877, 2*w^3 - 12*w - 3]', '[1879, 1879, -5*w^3 + 7*w^2 + 17*w - 2]', '[1880, 470, w^3 + 5*w^2 - 5*w - 15]', '[1880, 470, -w^3 + 5*w^2 + 3*w - 15]', '[1883, 1883, -3*w^3 + 7*w^2 + 13*w - 16]', '[1885, 1885, 2*w^3 - 12*w - 5]', '[1885, 1885, -2*w^3 + 2*w^2 + 6*w + 5]', '[1888, 236, -8*w^3 + 10*w^2 + 30*w - 32]', '[1889, 1889, -w^3 + 2*w^2 + 8*w - 4]', '[1889, 1889, -2*w^3 + 6*w^2 + 7*w - 18]', '[1895, 1895, w^3 - 3*w^2 - 3*w]', '[1895, 1895, -2*w^3 - w^2 + 11*w + 15]', '[1897, 1897, -w^3 - 2*w^2 + 2*w - 2]', '[1897, 1897, w^3 + w - 3]', '[1898, 1898, -3*w^3 + 2*w^2 + 6*w - 7]', '[1900, 950, -3*w^3 + 6*w^2 + 13*w - 20]', '[1906, 1906, -4*w^3 + 6*w^2 + 11*w - 13]', '[1912, 478, -5*w^3 + 11*w^2 + 13*w - 13]', '[1913, 1913, -w^3 + 6*w^2 - 18]', '[1913, 1913, w^3 - 3*w^2 - 6*w + 11]', '[1915, 1915, -3*w^2 - 2*w + 10]', '[1916, 958, 8*w^3 - 11*w^2 - 30*w + 21]', '[1916, 958, 3*w^3 - 8*w^2 - 5*w + 12]', '[1919, 1919, 4*w - 7]', '[1919, 1919, 2*w^2 - 5*w - 14]', '[1924, 962, 2*w^3 + w^2 - 8*w - 13]', '[1924, 962, 3*w^3 - 2*w^2 - 15*w + 8]', '[1927, 1927, w^3 + 2*w^2 - 4*w - 14]', '[1927, 1927, -w^3 + w^2 + 8*w + 1]', '[1933, 1933, 2*w^2 - 5*w - 8]', '[1933, 1933, 2*w^3 - 4*w^2 - 13*w + 4]', '[1934, 1934, 6*w^3 - 12*w^2 - 23*w + 37]', '[1934, 1934, -4*w^3 + 8*w^2 + 13*w - 23]', '[1936, 22, 2*w^3 - 6*w - 6]', '[1936, 22, -4*w^2 + 6*w + 12]', '[1937, 1937, -3*w^3 + 3*w^2 + 13*w + 2]', '[1937, 1937, w^3 - 7*w^2 - 2*w + 29]', '[1939, 1939, 5*w^3 - 8*w^2 - 18*w + 14]', '[1940, 970, 6*w^3 - w^2 - 28*w - 15]', '[1942, 1942, -6*w^3 + 7*w^2 + 23*w - 16]', '[1943, 1943, 5*w^3 - 6*w^2 - 17*w + 7]', '[1943, 1943, -5*w^2 + 3*w + 17]', '[1945, 1945, w^3 + 2*w^2 - 7*w - 5]', '[1945, 1945, 5*w^3 - 6*w^2 - 18*w + 10]', '[1945, 1945, -3*w^2 + 5*w + 15]', '[1949, 1949, 3*w^3 - w^2 - 13*w + 2]', '[1951, 1951, -2*w^3 + 6*w^2 + 9*w - 6]', '[1954, 1954, -4*w^3 + 6*w^2 + 17*w - 11]', '[1954, 1954, 4*w^3 - 6*w^2 - 15*w + 9]', '[1957, 1957, -6*w^3 + 13*w^2 + 22*w - 42]', '[1957, 1957, -5*w^3 + 9*w^2 + 18*w - 29]', '[1960, 490, -3*w^3 + 7*w^2 + 9*w - 15]', '[1963, 1963, 2*w^3 + w^2 - 13*w - 11]', '[1963, 1963, -6*w^3 + 9*w^2 + 22*w - 24]', '[1964, 982, 3*w^3 - 6*w^2 - 13*w + 22]', '[1966, 1966, -w^2 + w - 4]', '[1970, 1970, -2*w^3 + 4*w^2 + 5*w - 15]', '[1970, 1970, -w^3 - 3*w^2 + 6*w + 20]', '[1973, 1973, 4*w^3 - 4*w^2 - 13*w + 8]', '[1975, 1975, 2*w^3 - 3*w^2 - 4*w + 10]', '[1976, 494, -w^3 - w^2 + 9*w + 9]', '[1979, 1979, -w^3 + 5*w^2 + 3*w - 12]', '[1979, 1979, w^3 - 6*w^2 - 5*w + 17]', '[1981, 1981, -5*w - 4]', '[1982, 1982, -5*w^2 + 3*w + 12]', '[1985, 1985, 4*w^3 - 17*w - 10]', '[1985, 1985, -w^2 + 10]', '[1987, 1987, -3*w^3 + 7*w^2 + 11*w - 14]', '[1997, 1997, -2*w^3 + 6*w^2 + 7*w - 12]', '[2000, 10, -2*w^3 + 12*w + 4]', '[2000, 250, -2*w^3 + 2*w^2 + 4*w - 10]', '[2003, 2003, -3*w^3 + 7*w^2 + 9*w - 16]', '[2008, 502, -3*w^3 + 5*w^2 + 7*w - 1]', '[2008, 502, -5*w^3 + 9*w^2 + 17*w - 7]', '[2009, 2009, -4*w^3 + 6*w^2 + 20*w - 11]', '[2011, 2011, -2*w^3 + 2*w^2 + 3*w - 8]', '[2012, 1006, w^3 - 4*w^2 + 3*w + 4]', '[2020, 1010, -3*w^2 + 6*w + 5]', '[2020, 1010, -5*w^3 - 2*w^2 + 23*w + 20]', '[2023, 119, 2*w^3 - 9*w + 2]', '[2023, 119, -w^3 + 6*w^2 + 2*w - 6]', '[2025, 75, -3*w^3 + 3*w^2 + 15*w]', '[2026, 2026, 3*w^2 + w - 12]', '[2026, 2026, -5*w^3 + 3*w^2 + 22*w - 4]', '[2029, 2029, w^2 + 6*w + 4]', '[2029, 2029, w^3 + 2*w^2 - 5*w - 3]', '[2030, 2030, -w^3 + 4*w^2 - 15]', '[2030, 2030, -5*w^3 + 7*w^2 + 18*w - 10]', '[2032, 254, -2*w^3 + 4*w^2 + 4*w - 12]', '[2033, 2033, w^3 + w^2 - 2*w - 7]', '[2033, 2033, 4*w^3 - 4*w^2 - 14*w + 7]', '[2038, 2038, -4*w^3 + 4*w^2 + 17*w - 3]', '[2038, 2038, -3*w^3 + 16*w + 3]', '[2039, 2039, 5*w^3 - 3*w^2 - 21*w + 2]', '[2041, 2041, -4*w^3 + 2*w^2 + 16*w + 3]', '[2041, 2041, 5*w^3 - 3*w^2 - 21*w - 6]', '[2041, 2041, -2*w^3 + 5*w^2 + 5*w - 19]', '[2041, 2041, w^2 + 4]', '[2044, 1022, 3*w^3 - 4*w^2 - 13*w + 4]', '[2045, 2045, w^3 - 8*w]', '[2048, 8, 4*w^3 - 4*w^2 - 12*w + 4]', '[2050, 2050, -w^2 + w + 10]', '[2053, 2053, 2*w^3 - 5*w^2 - 9*w + 17]', '[2053, 2053, 3*w^3 - 4*w^2 - 9*w + 13]', '[2054, 2054, -w^3 + 8*w + 3]', '[2060, 1030, -10*w^3 + 5*w^2 + 46*w + 5]', '[2060, 1030, -7*w^3 + 4*w^2 + 31*w]', '[2062, 2062, 2*w^3 - 5*w^2 - 5*w + 18]', '[2062, 2062, -8*w^3 + 11*w^2 + 31*w - 34]', '[2065, 2065, -5*w^3 + 2*w^2 + 13*w - 15]', '[2066, 2066, -5*w^3 + 6*w^2 + 18*w - 11]', '[2066, 2066, -5*w^3 + 5*w^2 + 20*w - 18]', '[2071, 2071, -6*w^3 + 7*w^2 + 15*w - 9]', '[2071, 2071, -5*w^3 + 9*w^2 + 20*w - 23]', '[2072, 518, -w^3 + 5*w^2 + w - 7]', '[2072, 518, -5*w^3 + 5*w^2 + 19*w - 11]', '[2080, 260, 2*w^3 - 2*w^2 - 12*w]', '[2083, 2083, -2*w^3 + 6*w^2 + 4*w - 19]', '[2083, 2083, 2*w^3 + 2*w^2 - 12*w - 9]', '[2084, 1042, 6*w^3 - 7*w^2 - 24*w + 11]', '[2084, 1042, 2*w^3 - w^2 - 12*w + 3]', '[2086, 2086, w^3 - 10*w - 9]', '[2086, 2086, -3*w^3 + w^2 + 12*w - 4]', '[2087, 2087, -w^3 + w^2 + 8*w - 3]', '[2089, 2089, w^3 - 7*w^2 + w + 16]', '[2095, 2095, -3*w^3 + 7*w^2 + 11*w - 20]', '[2098, 2098, -3*w^3 + 5*w^2 + 12*w - 2]', '[2098, 2098, 9*w^3 - 16*w^2 - 36*w + 47]', '[2099, 2099, -2*w^3 + 7*w^2 + 7*w - 23]', '[2099, 2099, -2*w^3 - 2*w^2 + 8*w + 13]', '[2102, 2102, 5*w^3 - 9*w^2 - 18*w + 28]', '[2102, 2102, 6*w^3 - 9*w^2 - 21*w + 22]', '[2104, 526, 5*w^3 - 11*w^2 - 13*w + 19]', '[2104, 526, -w^3 - 3*w^2 + 5*w + 7]', '[2106, 78, 3*w^3 - 6*w^2 - 12*w + 9]', '[2110, 2110, -5*w^3 + 3*w^2 + 18*w + 10]', '[2113, 2113, w^2 + 3*w - 7]', '[2114, 2114, 5*w^3 - 10*w^2 - 20*w + 19]', '[2114, 2114, -4*w^3 + 5*w^2 + 15*w - 4]', '[2117, 2117, -2*w^3 + w^2 + 3*w + 1]', '[2117, 2117, 2*w^3 + 3*w^2 - 5*w - 3]', '[2119, 2119, 5*w^3 - 2*w^2 - 22*w - 12]', '[2119, 2119, -w^3 + w^2 + 9*w + 4]', '[2126, 2126, 5*w^3 - 12*w^2 - 20*w + 37]', '[2126, 2126, -2*w^3 + 4*w^2 + 7*w - 17]', '[2128, 266, 4*w^3 - 6*w^2 - 14*w + 6]', '[2129, 2129, w^3 + w^2 + w - 4]', '[2132, 1066, -4*w^3 + 3*w^2 + 18*w + 1]', '[2137, 2137, 4*w^3 - 2*w^2 - 20*w - 1]', '[2137, 2137, -3*w^3 + 6*w^2 + 13*w - 21]', '[2138, 2138, -7*w^3 + 13*w^2 + 30*w - 36]', '[2138, 2138, -9*w^3 + 11*w^2 + 38*w - 24]', '[2140, 1070, -w^3 - 2*w^2 + 9*w + 10]', '[2140, 1070, 2*w^3 - 5*w^2 - 4*w + 15]', '[2141, 2141, w^3 - 4*w^2 + 2*w + 8]', '[2144, 268, 4*w^3 - 4*w^2 - 14*w + 6]', '[2146, 2146, -w^3 - w^2 + 4*w - 4]', '[2146, 2146, -5*w^3 + 8*w^2 + 18*w - 23]', '[2146, 2146, w^2 - 5*w - 6]', '[2146, 2146, -2*w^3 + 4*w^2 + 5*w - 1]', '[2147, 2147, -3*w^3 + 7*w^2 + 10*w - 19]', '[2149, 2149, -w^3 - 4*w^2 + 6*w - 2]', '[2149, 2149, -3*w^3 + 8*w^2 + 18*w - 16]', '[2152, 538, w^3 - 5*w^2 - 3*w + 13]', '[2153, 2153, 3*w^3 - 7*w^2 - 11*w + 8]', '[2155, 2155, 4*w^3 - 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7*w + 18]', '[2204, 1102, -3*w^3 + 4*w^2 + 9*w - 14]', '[2207, 2207, 2*w^2 + 2*w - 9]', '[2209, 47, 4*w^3 - 3*w^2 - 19*w - 1]', '[2209, 47, -5*w^3 + 9*w^2 + 16*w - 13]', '[2209, 2209, -2*w^3 + 7*w^2 + 8*w - 12]', '[2209, 2209, -5*w^3 + 2*w^2 + 23*w + 1]', '[2212, 1106, 2*w^3 - 3*w^2 - 12*w - 1]', '[2213, 2213, 5*w^2 - 2*w - 18]', '[2215, 2215, 3*w^3 - 7*w^2 - 12*w + 15]', '[2216, 554, -5*w^3 + 7*w^2 + 17*w - 7]', '[2218, 2218, w^3 - 7*w^2 - 2*w + 26]', '[2221, 2221, -w^3 + 4*w - 6]', '[2230, 2230, 3*w^3 - 3*w^2 - 14*w]', '[2234, 2234, -9*w^3 + 9*w^2 + 40*w - 18]', '[2234, 2234, w^3 - 8*w - 1]', '[2237, 2237, -4*w^3 + 4*w^2 + 13*w - 4]', '[2237, 2237, -5*w^2 + w + 9]', '[2237, 2237, 2*w^3 + w^2 - 9*w - 3]', '[2237, 2237, w^3 - 8*w - 2]', '[2239, 2239, 6*w^3 - 7*w^2 - 23*w + 13]', '[2240, 140, -4*w^3 + 6*w^2 + 16*w - 10]', '[2242, 2242, 5*w^3 + 2*w^2 - 14*w - 1]', '[2243, 2243, -4*w^3 + 6*w^2 + 13*w - 16]', '[2245, 2245, 5*w^3 - 8*w^2 - 19*w + 15]', '[2245, 2245, -w^3 - 2*w]', '[2249, 2249, 6*w^3 - 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8*w^2 - 19*w + 13]', '[5249, 5249, 9*w^3 - 16*w^2 - 25*w + 29]', '[5252, 2626, w^3 - 11*w + 6]', '[5252, 2626, -w^3 - 4*w^2 + 5*w + 22]', '[5255, 5255, 2*w^2 + 3*w - 10]', '[5255, 5255, -5*w^3 + 4*w^2 + 19*w - 5]', '[5260, 2630, -w^3 + 8*w^2 + w - 30]', '[5260, 2630, 3*w^3 - 17*w]', '[5261, 5261, -5*w^3 + 8*w^2 + 20*w - 28]', '[5261, 5261, -2*w^3 + 4*w^2 + 4*w + 1]', '[5263, 5263, -7*w^3 + 6*w^2 + 32*w - 14]', '[5264, 658, 4*w^3 - 2*w^2 - 6*w + 2]', '[5264, 658, -2*w^3 + 4*w^2 + 14*w - 14]', '[5265, 195, 6*w^2 - 15]', '[5266, 5266, -2*w^3 + 6*w^2 + 9*w - 21]', '[5266, 5266, -5*w^3 + 7*w^2 + 22*w - 12]', '[5272, 1318, -5*w^3 + 9*w^2 + 13*w - 19]', '[5275, 5275, -2*w^3 - 4*w^2 + 10*w + 25]', '[5278, 5278, 4*w^3 - 4*w^2 - 11*w + 13]', '[5278, 5278, 4*w^3 - 7*w^2 - 15*w + 26]', '[5279, 5279, 5*w^3 - 10*w^2 - 20*w + 18]', '[5279, 5279, w^2 - 7*w - 9]', '[5281, 5281, -2*w^3 + 5*w^2 - 12]', '[5281, 5281, 5*w^3 - 2*w^2 - 18*w - 6]', '[5284, 2642, -5*w^3 + 8*w^2 + 9*w - 8]', '[5284, 2642, -3*w^3 + 2*w^2 + 17*w - 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9*w + 1]', '[5333, 5333, 7*w^3 - 11*w^2 - 27*w + 22]', '[5333, 5333, -w^3 + 2*w^2 - 3*w - 13]', '[5341, 5341, -2*w^3 + 7*w^2 + 13*w - 17]', '[5341, 5341, 4*w^3 - 9*w^2 - 15*w + 13]', '[5345, 5345, 3*w^3 - w^2 - 14*w + 5]', '[5345, 5345, 5*w^3 - 3*w^2 - 14*w + 15]', '[5347, 5347, -3*w^3 + 8*w^2 + 9*w - 21]', '[5350, 5350, -3*w^3 + 2*w^2 + 18*w + 5]', '[5350, 5350, 3*w^3 - 5*w^2 - 8*w + 20]', '[5351, 5351, -2*w^3 + 3*w^2 + 13*w - 3]', '[5356, 2678, 9*w^2 - 6*w - 37]', '[5356, 2678, -w^3 + 6*w^2 - w - 24]', '[5360, 670, 4*w^2 - 6*w - 20]', '[5362, 5362, w^3 + w^2 - 6*w - 14]', '[5365, 5365, 2*w^3 - 8*w^2 - 4*w + 25]', '[5365, 5365, w^2 - 6*w]', '[5365, 5365, -w^3 - w + 5]', '[5365, 5365, 2*w^3 - w^2 - 6*w + 10]', '[5366, 5366, -9*w^3 + 14*w^2 + 34*w - 43]', '[5366, 5366, 3*w^3 - w^2 - 18*w - 8]', '[5369, 5369, -2*w^3 + 7*w^2 + 9*w - 23]', '[5374, 5374, 5*w^3 - 11*w^2 - 20*w + 36]', '[5377, 5377, 2*w^3 - w^2 - 3*w - 3]', '[5380, 2690, 8*w^3 - 5*w^2 - 36*w + 5]', '[5381, 5381, -2*w^3 + 10*w + 13]', '[5383, 5383, 5*w^3 - 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3*w - 23]', '[5603, 5603, 3*w^3 - 4*w^2 - 6*w + 12]', '[5605, 5605, 10*w^3 - 8*w^2 - 36*w + 25]', '[5623, 5623, -w^3 + 7*w^2 + 6*w - 17]', '[5623, 5623, 6*w^3 - 4*w^2 - 27*w - 2]', '[5624, 1406, -5*w^3 + 5*w^2 + 21*w - 3]', '[5624, 1406, -7*w^3 + 9*w^2 + 23*w - 11]', '[5626, 5626, -5*w^3 - 5*w^2 + 30*w + 34]', '[5626, 5626, 3*w^3 - 16*w - 1]', '[5629, 5629, -w^3 + 4*w^2 - w - 19]', '[5636, 2818, w^3 + 2*w^2 - 11*w - 2]', '[5636, 2818, -5*w^3 + 12*w^2 + 7*w - 18]', '[5647, 5647, -5*w^3 + 10*w^2 + 17*w - 23]', '[5647, 5647, -w^3 + w^2 + 12*w + 9]', '[5650, 5650, -2*w^3 + 8*w^2 + w - 15]', '[5656, 1414, -w^3 - 3*w^2 + 5*w + 3]', '[5656, 1414, -5*w^3 + 7*w^2 + 23*w - 27]', '[5659, 5659, -2*w^3 - 4*w^2 + 8*w + 19]', '[5660, 2830, w^3 - 4*w^2 + 3*w + 10]', '[5662, 5662, 2*w^3 + w^2 - 5*w - 8]', '[5662, 5662, 9*w^3 - 9*w^2 - 40*w + 14]', '[5668, 2834, w^2 - 8*w - 11]', '[5668, 2834, -3*w^3 + 8*w^2 + 9*w - 18]', '[5670, 210, -3*w^3 + 3*w^2 + 6*w]', '[5672, 1418, -3*w^3 + 7*w^2 + 3*w - 13]', '[5674, 5674, w^3 - 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7*w^2 - 10*w + 6]', '[787, 787, w^2 + 2*w - 6]', '[787, 787, 3*w^2 - 2*w - 6]', '[787, 787, -3*w^3 + 3*w^2 + 9*w - 4]', '[787, 787, -w^3 + 7*w + 9]', '[811, 811, -2*w^3 - w^2 + 10*w + 6]', '[811, 811, 3*w^3 - 2*w^2 - 15*w + 3]', '[823, 823, 2*w^3 - 3*w^2 - 4*w + 8]', '[823, 823, -3*w^3 + 2*w^2 + 6*w - 2]', '[823, 823, -2*w^3 + 2*w^2 + 11*w + 2]', '[823, 823, -w^2 - w - 3]', '[841, 29, -2*w^3 - w^2 + 12*w + 8]', '[857, 857, 2*w^3 - 3*w^2 - 12*w + 2]', '[859, 859, w^3 + 4*w^2 - 5*w - 13]', '[863, 863, -w^3 + w^2 + 7*w - 2]', '[877, 877, 3*w^3 - 5*w^2 - 8*w + 11]', '[881, 881, -w^3 + 5*w^2 - 17]', '[881, 881, -2*w^3 + 5*w^2 + 8*w - 12]', '[887, 887, -4*w^3 + 5*w^2 + 16*w - 8]', '[887, 887, -w^3 + 3*w^2 - w - 4]', '[907, 907, -2*w^3 + 2*w^2 + 10*w + 3]', '[907, 907, 2*w^3 - w^2 - 11*w - 1]', '[907, 907, -3*w^3 + 2*w^2 + 11*w - 3]', '[907, 907, -2*w^3 + 8*w - 1]', '[911, 911, 2*w^2 + 2*w - 7]', '[911, 911, w^2 + 5*w + 3]', '[911, 911, -w^3 + 3*w^2 - w - 8]', '[911, 911, -4*w^3 + 4*w^2 + 11*w - 2]', '[919, 919, -2*w^3 + 5*w^2 + 7*w - 13]', '[937, 937, -w^3 - 3*w^2 + 4*w + 13]', '[953, 953, 3*w^3 - 8*w^2 - 7*w + 11]', '[967, 967, 3*w^3 - 2*w^2 - 15*w + 1]', '[967, 967, -3*w^2 + 4*w + 6]', '[971, 971, -w^2 + w - 3]', '[977, 977, -3*w^3 + 4*w^2 + 7*w - 3]', '[977, 977, w^3 - w - 3]', '[983, 983, -4*w^3 + 5*w^2 + 11*w - 7]', '[991, 991, -3*w^3 + 6*w^2 + 4*w - 14]']}
87. label: 4.4.6809.1
    {'degree': 4, 'discriminant': 6809, 'ideals': ['[1, 1, 1]', '[2, 2, w + 1]', '[4, 4, -w + 1]', '[5, 5, w^3 - 4*w]', '[8, 2, w^3 - w^2 - 4*w + 3]', '[8, 8, w^3 - 4*w - 1]', '[10, 10, -w^2 + w + 2]', '[11, 11, w^3 - 5*w + 1]', '[16, 2, 2]', '[16, 16, w^3 - 6*w + 1]', '[17, 17, -w^3 - w^2 + 5*w + 4]', '[20, 20, w^3 - w^2 - 5*w + 1]', '[22, 22, -w^2 + 3]', '[23, 23, -w^2 + 2]', '[25, 25, w^3 - w^2 - 3*w + 2]', '[29, 29, -w^2 - w + 3]', '[31, 31, -w^3 + 6*w + 2]', '[32, 4, 2*w + 2]', '[32, 32, w^3 - w^2 - 4*w]', '[34, 34, -w + 3]', '[40, 10, -w^3 - w^2 + 6*w + 5]', '[40, 40, w + 3]', '[43, 43, w^3 - 6*w]', '[44, 44, -w^3 - w^2 + 3*w + 3]', '[46, 46, 2*w^3 + w^2 - 9*w - 4]', '[47, 47, 2*w^3 - 9*w]', '[47, 47, -2*w^3 + w^2 + 8*w - 2]', '[50, 50, w^3 - 6*w - 1]', '[53, 53, -4*w^3 + 2*w^2 + 18*w - 5]', '[55, 55, w^3 + w^2 - 5*w - 2]', '[58, 58, w^3 + w^2 - 6*w - 2]', '[59, 59, w^2 - w - 5]', '[59, 59, 3*w^3 - 15*w - 5]', '[62, 62, -2*w^3 + w^2 + 8*w - 1]', '[64, 4, -w^3 - w^2 + 4*w + 5]', '[64, 8, -2*w + 2]', '[64, 64, -w^3 + 5*w + 4]', '[68, 68, -w^2 + 2*w + 3]', '[71, 71, w^3 - 3*w - 3]', '[80, 10, 2*w^3 - 8*w]', '[80, 80, 2*w^3 - 2*w^2 - 9*w + 5]', '[81, 3, -3]', '[83, 83, -2*w^3 + 8*w + 3]', '[85, 85, 2*w^3 - 11*w - 4]', '[86, 86, w^3 - w^2 - 5*w - 1]', '[88, 22, w^3 - w^2 - 6*w - 1]', '[88, 88, w^3 - w^2 - 3*w + 3]', '[89, 89, -2*w^3 + 11*w - 2]', '[92, 92, 2*w^3 - w^2 - 9*w]', '[94, 94, 2*w^3 + w^2 - 7*w - 2]', '[94, 94, -w^3 - w^2 + 4*w]', '[100, 100, w^3 - w^2 - 6*w - 2]', '[101, 101, 2*w^3 - w^2 - 10*w]', '[101, 101, 2*w^3 - 2*w^2 - 10*w + 3]', '[106, 106, -2*w^3 + 9*w - 1]', '[107, 107, 3*w^3 - 15*w - 1]', '[107, 107, 4*w^3 - 2*w^2 - 18*w + 3]', '[109, 109, 2*w^3 - 10*w + 3]', '[109, 109, 3*w^3 - 2*w^2 - 13*w + 3]', '[110, 110, 2*w^3 - 2*w^2 - 7*w + 1]', '[113, 113, 3*w^3 - w^2 - 15*w + 2]', '[113, 113, 3*w^3 - 13*w - 5]', '[115, 115, w^3 - w^2 - 7*w]', '[116, 116, w^3 - 4*w + 3]', '[118, 118, w^3 - 6*w - 5]', '[118, 118, 3*w^3 - 17*w - 8]', '[121, 11, 2*w^3 + w^2 - 8*w - 2]', '[121, 11, 3*w^3 - 13*w - 1]', '[124, 124, -w^3 - w^2 + 5*w + 1]', '[125, 5, -2*w^3 + w^2 + 7*w + 1]', '[125, 125, 2*w^3 - 9*w + 2]', '[127, 127, 2*w^3 - 8*w - 1]', '[127, 127, -w^3 + 2*w^2 + 3*w - 3]', '[128, 4, 2*w^3 - 2*w^2 - 8*w + 6]', '[128, 16, 2*w^3 - 8*w - 2]', '[128, 128, w^3 - 2*w^2 - 3*w + 4]', '[136, 34, w^3 + w^2 - 6*w - 1]', '[136, 136, 2*w^3 - 7*w + 1]', '[137, 137, 2*w^3 - 10*w + 1]', '[137, 137, 2*w^3 - 11*w]', '[139, 139, 2*w^3 - 9*w - 6]', '[142, 142, w^3 + 2*w^2 - 5*w - 4]', '[145, 145, w^3 - 7*w + 1]', '[155, 155, -2*w^3 - w^2 + 11*w + 3]', '[157, 157, -4*w^3 - w^2 + 19*w + 7]', '[160, 20, -2*w^2 + 2*w + 4]', '[160, 160, -w^2 - 2*w + 3]', '[162, 6, -3*w - 3]', '[163, 163, 5*w^3 - 2*w^2 - 25*w + 7]', '[166, 166, -2*w^3 - 2*w^2 + 9*w + 5]', '[167, 167, w^2 + w - 5]', '[167, 167, -w^3 + 2*w^2 + 4*w - 6]', '[169, 13, -w^3 + w^2 + 3*w - 4]', '[169, 13, w^2 - 2*w - 4]', '[170, 170, 3*w^3 - w^2 - 13*w + 1]', '[172, 172, w^3 + w^2 - 7*w + 1]', '[173, 173, -2*w^3 + w^2 + 11*w - 7]', '[173, 173, w - 4]', '[176, 22, 2*w^3 - 10*w + 2]', '[176, 176, 2*w^3 - 11*w - 3]', '[178, 178, -2*w^3 + w^2 + 7*w]', '[181, 181, w + 4]', '[181, 181, -2*w - 5]', '[184, 46, w^3 - w^2 - 6*w + 5]', '[184, 184, w^3 - 7*w - 2]', '[187, 187, 2*w^3 - w^2 - 9*w - 1]', '[188, 188, -3*w^3 + 3*w^2 + 12*w - 4]', '[188, 188, 2*w^3 - w^2 - 11*w + 2]', '[191, 191, -w^3 + 2*w^2 + 6*w - 6]', '[191, 191, 2*w^3 - w^2 - 11*w + 1]', '[193, 193, -3*w^3 + 16*w]', '[200, 50, -w^3 - w^2 + 2*w + 3]', '[200, 200, w^3 + w^2 - 6*w]', '[202, 202, -2*w^2 - 5*w + 1]', '[202, 202, w^3 - w^2 - 8*w - 2]', '[212, 212, -2*w^3 - w^2 + 6*w + 1]', '[214, 214, 2*w^3 + 3*w^2 - 5*w - 6]', '[214, 214, 2*w^3 - 11*w - 1]', '[215, 215, w^3 - 2*w^2 - 5*w + 5]', '[218, 218, 2*w^3 - 5*w + 1]', '[218, 218, w^3 - 7*w]', '[220, 220, -w^3 + 4*w + 5]', '[226, 226, 2*w^3 - w^2 - 10*w - 1]', '[226, 226, 3*w^3 + 2*w^2 - 15*w - 8]', '[227, 227, 6*w^3 - 3*w^2 - 27*w + 5]', '[227, 227, 2*w^3 - 11*w - 2]', '[229, 229, -2*w^3 + w^2 + 10*w - 6]', '[230, 230, -w^3 + w^2 + 3*w + 3]', '[232, 58, -w^3 + w^2 + 4*w + 3]', '[232, 232, 2*w^3 - w^2 - 11*w - 2]', '[233, 233, 4*w^3 - 3*w^2 - 17*w + 5]', '[233, 233, 2*w^3 + w^2 - 7*w - 5]', '[233, 233, w^3 - 7*w - 1]', '[233, 233, 2*w^3 - 7*w]', '[235, 235, 2*w^3 - w^2 - 7*w + 7]', '[235, 235, -3*w^3 + w^2 + 13*w - 6]', '[236, 236, 3*w^3 - 13*w - 2]', '[236, 236, -w^3 + 2*w^2 + 4*w - 5]', '[239, 239, 2*w^2 - 2*w - 7]', '[239, 239, -4*w^3 + w^2 + 18*w]', '[241, 241, w^3 - 5*w - 5]', '[242, 22, 3*w^3 - 2*w^2 - 14*w + 3]', '[242, 22, 3*w^3 + 2*w^2 - 11*w - 4]', '[248, 62, -w^3 + w^2 + 2*w - 3]', '[248, 248, 2*w^3 + 2*w^2 - 9*w - 7]', '[250, 10, -4*w^3 - 3*w^2 + 14*w + 7]', '[250, 250, -2*w^2 - w + 5]', '[253, 253, 2*w^3 - 2*w^2 - 9*w + 2]', '[254, 254, 2*w^3 + 2*w^2 - 7*w - 3]', '[254, 254, -3*w^3 + 3*w^2 + 15*w - 5]', '[256, 4, 4]', '[256, 32, 2*w^3 - 12*w + 2]', '[256, 256, -w^3 + 2*w + 3]', '[263, 263, -4*w^3 + w^2 + 20*w - 4]', '[265, 265, -3*w^3 + 13*w + 3]', '[269, 269, w^3 + 2*w^2 - 6*w - 6]', '[271, 271, 2*w^3 + w^2 - 12*w - 8]', '[272, 34, -2*w^3 - 2*w^2 + 10*w + 8]', '[272, 272, 3*w^3 - w^2 - 12*w - 2]', '[274, 274, 2*w^3 - 7*w - 1]', '[274, 274, 2*w^3 - w^2 - 9*w - 2]', '[275, 275, 3*w + 4]', '[277, 277, w^3 + w^2 - 7*w - 6]', '[278, 278, 2*w^3 + w^2 - 13*w - 8]', '[283, 283, 6*w^3 - 3*w^2 - 27*w + 7]', '[283, 283, -3*w^3 + 3*w^2 + 13*w - 8]', '[284, 284, w^3 - 2*w^2 - w - 2]', '[289, 289, -2*w^2 - w + 4]', '[290, 290, -w^2 + 2*w + 5]', '[293, 293, -2*w^3 + w^2 + 9*w + 3]', '[293, 293, 4*w^3 - w^2 - 19*w + 3]', '[295, 295, -4*w^3 + 18*w + 1]', '[295, 295, -2*w^3 - 3*w^2 + 8*w + 12]', '[310, 310, -2*w^3 + w^2 + 9*w - 6]', '[313, 313, 2*w^2 - w - 4]', '[313, 313, -2*w^3 + 2*w^2 + 8*w - 1]', '[314, 314, -5*w^3 + 2*w^2 + 23*w - 2]', '[317, 317, 3*w^3 + w^2 - 13*w - 10]', '[319, 319, -w^3 - 2*w^2 + 5*w + 5]', '[320, 20, w^3 + w^2 - 8*w - 1]', '[320, 40, 2*w^3 - 2*w^2 - 10*w + 2]', '[320, 320, 3*w^3 + w^2 - 12*w - 4]', '[324, 12, 3*w - 3]', '[326, 326, 3*w^3 - 2*w^2 - 13*w + 2]', '[331, 331, w^3 + 2*w^2 - 4*w - 6]', '[332, 332, -2*w^3 + 2*w^2 + 7*w + 1]', '[334, 334, w^3 + 2*w^2 - 4*w - 5]', '[334, 334, w^3 + w^2 - 3*w - 5]', '[338, 26, -w^2 - 2*w - 3]', '[338, 26, w^3 - w^2 - 6*w - 4]', '[340, 340, 2*w^3 + w^2 - 9*w - 2]', '[341, 341, w^2 + 2*w - 4]', '[344, 86, 5*w^3 - 3*w^2 - 22*w + 5]', '[344, 344, -2*w^2 + w + 5]', '[346, 346, -w^3 + 2*w^2 + 2*w - 5]', '[346, 346, w^2 - 3*w - 4]', '[349, 349, -w^3 + 3*w^2 + w - 4]', '[352, 44, -2*w^2 + 6]', '[352, 352, 4*w^3 - 2*w^2 - 17*w + 3]', '[353, 353, 3*w^3 - 14*w]', '[353, 353, -2*w^3 + w^2 + 7*w + 5]', '[355, 355, -2*w^3 + w^2 + 10*w + 2]', '[356, 356, -2*w^3 - w^2 + 15*w - 4]', '[361, 19, -5*w^3 + w^2 + 23*w - 2]', '[361, 19, -2*w^3 + 7*w + 6]', '[362, 362, -2*w^2 - 7*w - 5]', '[362, 362, -3*w^3 + 3*w^2 + 13*w - 7]', '[368, 46, -2*w^2 + 4]', '[368, 368, 3*w^3 - 2*w^2 - 11*w + 2]', '[373, 373, -w^3 + 4*w - 4]', '[374, 374, w^3 - 8*w - 3]', '[376, 94, 7*w^3 - 3*w^2 - 32*w + 7]', '[376, 94, -7*w^3 + 3*w^2 + 34*w - 11]', '[376, 376, -w^3 + 5*w - 4]', '[376, 376, -w^2 + 2*w + 7]', '[379, 379, -w^3 - 2*w^2 + 5*w + 7]', '[382, 382, w^3 + 3*w^2 - w - 5]', '[382, 382, w^3 - 2*w^2 - 8*w - 1]', '[383, 383, w^2 - 2*w - 6]', '[386, 386, -3*w^3 + w^2 + 13*w + 3]', '[389, 389, -4*w^3 + 2*w^2 + 16*w - 5]', '[391, 391, -2*w^3 + 10*w + 7]', '[397, 397, 5*w^3 - 2*w^2 - 24*w + 2]', '[397, 397, 3*w^3 + 2*w^2 - 16*w - 14]', '[400, 50, 2*w^3 - 2*w^2 - 6*w + 4]', '[400, 400, -w^3 - 2*w^2 + 5*w + 6]', '[401, 401, 2*w^2 - 5]', '[404, 404, 4*w^3 - 2*w^2 - 15*w + 5]', '[404, 404, 3*w^3 - w^2 - 12*w + 2]', '[405, 15, -3*w^3 + 12*w]', '[415, 415, w^3 - 6*w - 6]', '[419, 419, -w^3 - w^2 + 9*w + 6]', '[424, 106, -3*w^3 + w^2 + 16*w + 1]', '[424, 424, -2*w^3 + w^2 + 12*w - 3]', '[425, 425, -w^3 + 2*w + 4]', '[428, 428, -2*w^3 + w^2 + 7*w - 6]', '[428, 428, 2*w^3 - w^2 - 10*w - 3]', '[430, 430, 3*w^3 - 2*w^2 - 10*w - 1]', '[436, 436, w^3 - 2*w^2 - 6*w - 1]', '[436, 436, 2*w^3 - 15*w + 5]', '[439, 439, 3*w^3 - w^2 - 15*w - 2]', '[440, 110, 3*w^3 - w^2 - 12*w - 1]', '[440, 440, 3*w^3 - 13*w + 2]', '[445, 445, -4*w^3 + 3*w^2 + 17*w - 9]', '[449, 449, 4*w^3 + w^2 - 17*w - 5]', '[449, 449, 4*w^3 - w^2 - 17*w - 5]', '[452, 452, w^3 - w^2 - 9*w - 3]', '[452, 452, 3*w^3 - 2*w^2 - 11*w - 2]', '[454, 454, 3*w^3 - 16*w - 1]', '[454, 454, 2*w^3 - w^2 - 11*w - 4]', '[458, 458, -w^3 + w^2 + 2*w - 4]', '[460, 460, w^3 - 2*w^2 - 6*w + 7]', '[464, 58, -2*w^2 - 2*w + 6]', '[464, 464, 4*w^3 - w^2 - 19*w + 4]', '[466, 466, w^3 - 2*w^2 - 7*w - 2]', '[466, 466, 2*w^3 + 3*w^2 - 5*w - 2]', '[466, 466, w^3 - 8*w + 1]', '[466, 466, 3*w^3 + 4*w^2 - 10*w - 7]', '[467, 467, -3*w^3 + 16*w - 2]', '[467, 467, 2*w^3 + w^2 - 10*w - 2]', '[470, 470, 3*w^3 - w^2 - 14*w - 2]', '[470, 470, -w^3 - w^2 + 9*w - 1]', '[472, 118, -3*w^3 + 3*w^2 + 14*w - 13]', '[472, 118, 7*w^3 - w^2 - 34*w - 3]', '[472, 472, -4*w^3 - w^2 + 19*w + 6]', '[472, 472, -5*w^3 - 3*w^2 + 23*w + 17]', '[473, 473, 2*w^3 - w^2 - 12*w + 6]', '[478, 478, 2*w^3 - 9*w - 7]', '[478, 478, -3*w^3 - w^2 + 14*w + 4]', '[479, 479, 4*w^3 - 19*w - 8]', '[482, 482, w^3 - 9*w - 6]', '[484, 44, w^3 - w^2 - 8*w]', '[484, 44, 3*w^3 - 2*w^2 - 15*w + 2]', '[491, 491, 3*w - 4]', '[491, 491, -w^3 + 2*w^2 + 5*w - 11]', '[493, 493, w^3 - 2*w^2 - 8*w - 2]', '[496, 62, -2*w^3 + 12*w + 4]', '[496, 496, w - 5]', '[500, 20, -2*w^3 + w^2 + 12*w + 1]', '[500, 500, 3*w^3 - w^2 - 11*w - 3]', '[505, 505, w^3 - 3*w^2 - 7*w + 8]', '[505, 505, 3*w^3 - 4*w^2 - 18*w + 8]', '[506, 506, w + 5]', '[508, 508, 2*w^3 - 2*w^2 - 9*w + 1]', '[508, 508, -2*w^3 + 7*w - 5]', '[509, 509, -7*w^3 + 3*w^2 + 33*w - 10]', '[509, 509, 4*w^3 - w^2 - 21*w - 3]', '[512, 8, 3*w^3 - w^2 - 12*w + 1]', '[512, 8, 4*w + 4]', '[512, 64, 2*w^3 - 2*w^2 - 8*w]', '[512, 512, 2*w^3 - w^2 - 8*w + 7]', '[517, 517, 4*w^3 - 2*w^2 - 18*w + 9]', '[517, 517, -6*w^3 + 4*w^2 + 25*w - 10]', '[523, 523, -w^3 - 2*w^2 + 6*w + 2]', '[526, 526, -3*w^3 + w^2 + 12*w]', '[527, 527, -2*w^3 + 3*w^2 + 5*w - 5]', '[529, 529, 3*w^3 - 16*w - 4]', '[530, 530, -3*w^3 + w^2 + 11*w - 7]', '[535, 535, 5*w^3 - 23*w - 9]', '[535, 535, -4*w^3 + 3*w^2 + 23*w - 1]', '[538, 538, 3*w^3 + w^2 - 11*w - 7]', '[541, 541, -5*w^3 + 2*w^2 + 26*w - 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7]', '[1364, 1364, -4*w^3 + w^2 + 21*w - 2]', '[1366, 1366, w^3 - w^2 - 5*w - 5]', '[1367, 1367, w^3 - w - 5]', '[1369, 37, -w^3 + 3*w^2 + 5*w - 8]', '[1369, 37, 3*w^2 - 2*w - 6]', '[1370, 1370, 5*w^3 - 3*w^2 - 18*w - 2]', '[1370, 1370, 4*w^3 - 3*w^2 - 15*w]', '[1373, 1373, -3*w^3 - 2*w^2 + 16*w + 6]', '[1373, 1373, 4*w^3 - 21*w - 4]', '[1375, 55, -2*w^3 + w^2 + 7*w - 9]', '[1375, 1375, -3*w^2 + 2*w + 8]', '[1376, 172, 2*w^3 - 2*w^2 - 10*w - 2]', '[1376, 1376, 2*w^3 - 3*w^2 - 4*w + 5]', '[1377, 51, 3*w^3 + 3*w^2 - 15*w - 12]', '[1381, 1381, 2*w^3 - 13*w - 4]', '[1381, 1381, 2*w - 7]', '[1382, 1382, -5*w^3 - 3*w^2 + 25*w + 13]', '[1382, 1382, -2*w^3 + 2*w^2 + 13*w + 5]', '[1384, 346, w^3 + 3*w^2 - 6*w - 11]', '[1384, 346, 3*w^3 + 3*w^2 - 14*w - 11]', '[1384, 1384, -w^3 + 4*w^2 + w - 4]', '[1384, 1384, -3*w^3 + 5*w^2 + 8*w - 6]', '[1385, 1385, 4*w^3 + 2*w^2 - 17*w - 6]', '[1390, 1390, 3*w^3 + 5*w^2 - 20*w - 14]', '[1396, 1396, -w^3 + 3*w - 6]', '[1397, 1397, -5*w^3 + 4*w^2 + 27*w - 7]', '[1397, 1397, 3*w^3 - 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7]', '[1445, 1445, 2*w^3 - 3*w^2 - 6*w + 8]', '[1448, 362, -3*w^3 + 3*w^2 + 14*w - 3]', '[1448, 362, -3*w^3 + 3*w^2 + 12*w - 13]', '[1448, 1448, w^3 + 4*w^2 - w - 4]', '[1448, 1448, -5*w^3 - 2*w^2 + 20*w + 7]', '[1450, 1450, 4*w^3 + w^2 - 17*w - 2]', '[1451, 1451, -5*w^3 + 3*w^2 + 21*w - 2]', '[1457, 1457, 2*w^3 + 3*w^2 - 7*w - 11]', '[1457, 1457, w^3 - 3*w^2 - 5*w + 6]', '[1459, 1459, 5*w^3 - 22*w - 4]', '[1459, 1459, 2*w^2 - 3*w - 8]', '[1462, 1462, 3*w^3 + w^2 - 19*w + 1]', '[1465, 1465, 2*w^3 + 2*w^2 - 6*w - 7]', '[1465, 1465, 5*w^3 + 2*w^2 - 24*w - 10]', '[1466, 1466, 4*w^3 - 3*w^2 - 19*w + 4]', '[1466, 1466, 3*w^2 - 2*w - 7]', '[1466, 1466, 3*w^3 + w^2 - 9*w - 1]', '[1466, 1466, 2*w^3 + 4*w^2 - 9*w - 7]', '[1471, 1471, -w^3 + 6*w - 6]', '[1472, 92, -w^3 - w^2 + 8*w + 9]', '[1472, 184, 4*w^3 - 2*w^2 - 18*w]', '[1472, 1472, -2*w^3 - 3*w^2 + 9*w + 8]', '[1475, 1475, 4*w^3 - w^2 - 21*w - 1]', '[1475, 1475, -2*w^3 + w^2 + 10*w - 8]', '[1481, 1481, -8*w^3 + 3*w^2 + 39*w - 7]', '[1483, 1483, 7*w^3 - 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11]', '[1528, 382, -9*w^3 + 7*w^2 + 42*w - 21]', '[1528, 382, 9*w^3 - 5*w^2 - 42*w + 11]', '[1528, 1528, -4*w^3 + 2*w^2 + 21*w + 1]', '[1528, 1528, -3*w^2 - w + 8]', '[1529, 1529, -2*w^3 - 2*w^2 + 12*w + 3]', '[1531, 1531, 3*w^3 - 18*w + 8]', '[1531, 1531, 2*w^3 - 3*w^2 - 9*w + 1]', '[1532, 1532, -w^3 + 3*w^2 + 4*w - 6]', '[1537, 1537, -2*w^3 - 2*w^2 + 9*w + 2]', '[1543, 1543, 3*w^3 + w^2 - 15*w - 2]', '[1544, 386, -7*w^3 - w^2 + 32*w + 13]', '[1544, 1544, -4*w^3 + 3*w^2 + 13*w]', '[1546, 1546, -3*w^2 + 5]', '[1549, 1549, 2*w^3 - 2*w^2 - 11*w - 2]', '[1550, 1550, 2*w^3 - 11*w - 9]', '[1556, 1556, -6*w^3 + 6*w^2 + 25*w - 9]', '[1559, 1559, -3*w^3 + 10*w + 2]', '[1562, 1562, w^3 + 2*w^2 - 8*w - 9]', '[1564, 1564, -2*w^3 + 5*w + 5]', '[1565, 1565, -6*w^3 + w^2 + 28*w - 2]', '[1565, 1565, -2*w^3 + w^2 + 13*w + 1]', '[1567, 1567, -4*w^3 - w^2 + 16*w]', '[1567, 1567, -4*w^3 + w^2 + 18*w + 6]', '[1570, 1570, -8*w^3 - w^2 + 38*w + 17]', '[1571, 1571, 6*w^3 - 31*w - 2]', '[1574, 1574, w^3 + 3*w^2 - 4*w - 6]', '[1574, 1574, -5*w^3 + 2*w^2 + 21*w - 4]', '[1579, 1579, -2*w^3 - 4*w^2 + 5*w + 6]', '[1583, 1583, 3*w^3 + w^2 - 9*w - 2]', '[1585, 1585, -6*w^3 + 29*w + 10]', '[1588, 1588, 2*w^3 - 3*w^2 - 17*w - 6]', '[1588, 1588, w^3 + 3*w^2 - 5*w - 11]', '[1594, 1594, -4*w^3 + 2*w^2 + 15*w - 3]', '[1594, 1594, w^3 + 5]', '[1595, 1595, 2*w^3 - w^2 - 14*w - 4]', '[1598, 1598, 6*w^3 - w^2 - 29*w + 2]', '[1598, 1598, -7*w^3 + 5*w^2 + 28*w - 8]', '[1600, 100, w^3 - 3*w^2 - 4*w + 7]', '[1600, 200, 2*w^3 - 2*w^2 - 12*w - 4]', '[1600, 1600, w^3 - 2*w^2 + 5]', '[1601, 1601, 4*w^3 - w^2 - 21*w + 1]', '[1604, 1604, -2*w^3 + 2*w^2 + 5*w - 5]', '[1607, 1607, -5*w^3 + 2*w^2 + 21*w - 1]', '[1609, 1609, -6*w^3 - w^2 + 26*w + 6]', '[1616, 202, 4*w^3 - 2*w^2 - 20*w]', '[1616, 202, 4*w^3 - 4*w^2 - 20*w + 6]', '[1616, 1616, 9*w^3 - 6*w^2 - 38*w + 15]', '[1616, 1616, 5*w^3 - 4*w^2 - 21*w + 12]', '[1619, 1619, 4*w^3 - 20*w + 1]', '[1620, 60, -3*w^3 + 3*w^2 + 15*w - 3]', '[1630, 1630, 3*w^3 - 3*w^2 - 16*w + 10]', '[1633, 1633, 2*w^2 - 5*w - 6]', '[1642, 1642, -6*w^3 - 3*w^2 + 23*w + 8]', '[1643, 1643, 4*w^3 - w^2 - 15*w + 3]', '[1646, 1646, 4*w^3 - w^2 - 21*w]', '[1654, 1654, 3*w^2 + 8*w - 1]', '[1655, 1655, -3*w^3 + 2*w^2 + 19*w + 3]', '[1657, 1657, 3*w^3 - 3*w^2 - 7*w - 6]', '[1657, 1657, 12*w^3 - 4*w^2 - 58*w + 9]', '[1658, 1658, 2*w^3 + 3*w^2 - 10*w - 9]', '[1660, 1660, w^3 + w^2 - w - 5]', '[1667, 1667, -6*w^3 + 2*w^2 + 26*w - 5]', '[1669, 1669, -4*w^3 + 2*w^2 + 15*w]', '[1669, 1669, -5*w^3 + 3*w^2 + 23*w - 4]', '[1670, 1670, 3*w^2 - 4*w - 9]', '[1670, 1670, w^3 - 2*w - 9]', '[1676, 1676, -5*w^2 + 4*w + 5]', '[1678, 1678, -w^3 - w^2 + 4]', '[1678, 1678, 6*w^3 - 27*w - 5]', '[1682, 1682, 3*w^3 - 17*w - 4]', '[1690, 130, 3*w^3 - w^2 - 9*w - 7]', '[1690, 130, w^3 - w - 6]', '[1696, 212, -4*w^3 + 18*w - 2]', '[1696, 1696, -5*w^3 + 3*w^2 + 26*w - 12]', '[1697, 1697, -2*w^3 + 2*w^2 + 2*w + 3]', '[1699, 1699, -2*w^3 - w^2 + 14*w]', '[1700, 1700, 3*w^3 + w^2 - 18*w - 2]', '[1705, 1705, -3*w^3 + 3*w^2 + 17*w - 2]', '[1709, 1709, -3*w^3 + 4*w^2 + 12*w - 10]', '[1709, 1709, 3*w^2 + w - 7]', '[1711, 1711, 4*w^2 + w - 14]', '[1711, 1711, 9*w^3 + 2*w^2 - 40*w - 12]', '[1712, 214, 4*w^2 + 2*w - 12]', '[1712, 214, 8*w^3 - 4*w^2 - 36*w + 6]', '[1712, 1712, -w^3 - 3*w^2 + 6*w + 10]', '[1712, 1712, -8*w^3 + 3*w^2 + 36*w - 7]', '[1717, 1717, 6*w^3 + 2*w^2 - 28*w - 11]', '[1717, 1717, 3*w^3 + w^2 - 13*w]', '[1718, 1718, w^2 + 3*w - 6]', '[1718, 1718, 2*w^3 - 13*w - 3]', '[1720, 430, 5*w^3 - w^2 - 22*w - 7]', '[1720, 1720, 3*w^3 - w^2 - 17*w - 1]', '[1721, 1721, 7*w^3 - 31*w - 3]', '[1721, 1721, -3*w^3 + 17*w + 1]', '[1723, 1723, -4*w^3 + w^2 + 16*w + 2]', '[1726, 1726, -3*w^3 + 18*w + 7]', '[1727, 1727, -w^3 + 2*w^2 + 4*w - 12]', '[1730, 1730, -4*w^3 + 19*w - 1]', '[1730, 1730, -3*w^3 - 2*w^2 + 12*w + 3]', '[1733, 1733, 4*w^3 - 16*w - 1]', '[1741, 1741, 2*w^3 + 2*w^2 - 4*w - 5]', '[1744, 218, 4*w^3 - 20*w + 6]', '[1744, 218, 6*w^3 - 4*w^2 - 26*w + 6]', '[1744, 1744, -3*w^2 + w + 6]', '[1744, 1744, 7*w^3 - 2*w^2 - 40*w + 15]', '[1745, 1745, -2*w^3 + 13*w]', '[1747, 1747, -3*w^3 + w^2 + 9*w]', '[1747, 1747, 3*w^3 - 2*w^2 - 10*w + 6]', '[1753, 1753, -2*w^3 + 2*w^2 + 12*w - 13]', '[1753, 1753, 5*w^3 - 21*w - 1]', '[1754, 1754, -3*w^3 - w^2 + 18*w + 8]', '[1756, 1756, 4*w^3 - w^2 - 16*w + 1]', '[1759, 1759, 8*w^3 - 3*w^2 - 39*w + 5]', '[1759, 1759, 3*w^3 - w^2 - 17*w + 2]', '[1760, 220, 4*w^3 - 4*w^2 - 14*w + 2]', '[1760, 1760, 5*w^3 - 21*w - 8]', '[1765, 1765, 4*w^3 - 16*w - 5]', '[1765, 1765, 3*w^3 - 2*w^2 - 11*w + 11]', '[1766, 1766, -3*w^3 + 4*w^2 + 12*w - 7]', '[1766, 1766, 3*w^3 + 2*w^2 - 14*w - 5]', '[1774, 1774, -w^3 + 3*w + 8]', '[1775, 1775, -2*w^3 + 5*w^2 + 3*w - 5]', '[1777, 1777, -2*w^3 - 3*w^2 + 9*w + 9]', '[1780, 1780, -7*w^3 + 6*w^2 + 30*w - 13]', '[1782, 66, 3*w^2 - 9]', '[1787, 1787, -w^3 + w^2 + w - 6]', '[1793, 1793, w^3 - 4*w + 6]', '[1796, 1796, 5*w^3 - 4*w^2 - 16*w - 1]', '[1796, 1796, 3*w^3 - 2*w^2 - 16*w - 1]', '[1798, 1798, -5*w^3 + 3*w^2 + 24*w - 4]', '[1802, 1802, -4*w^3 + w^2 + 20*w + 5]', '[1805, 95, -6*w^3 + 4*w^2 + 25*w - 18]', '[1805, 95, 4*w^3 - w^2 - 19*w - 5]', '[1808, 226, 6*w^3 - 2*w^2 - 30*w + 4]', '[1808, 226, 6*w^3 - 26*w - 10]', '[1808, 1808, w^3 - 5*w^2 + w + 11]', '[1808, 1808, -2*w^3 - 2*w^2 + 7*w + 9]', '[1810, 1810, 2*w^3 + 3*w^2 - 9*w - 10]', '[1810, 1810, w^3 + 3*w^2 - 6*w - 8]', '[1811, 1811, -5*w^3 + 2*w^2 + 21*w - 3]', '[1811, 1811, 6*w^3 - w^2 - 30*w - 6]', '[1814, 1814, -w^3 + 5*w - 6]', '[1814, 1814, -5*w - 9]', '[1816, 454, 7*w^3 + w^2 - 34*w - 9]', '[1816, 454, 7*w^3 - 3*w^2 - 32*w + 3]', '[1816, 1816, 3*w^3 + w^2 - 18*w + 2]', '[1816, 1816, -2*w^3 - 3*w^2 + 10*w + 11]', '[1819, 1819, 5*w^3 + 2*w^2 - 27*w - 21]', '[1819, 1819, -w^3 + w + 7]', '[1822, 1822, -3*w^2 - 9*w - 2]', '[1823, 1823, 2*w^2 - 4*w - 7]', '[1826, 1826, -4*w^3 - w^2 + 22*w + 9]', '[1829, 1829, 6*w^3 - 30*w - 11]', '[1829, 1829, 8*w^3 + 3*w^2 - 42*w - 28]', '[1832, 458, w^3 + 3*w^2 - 4*w - 9]', '[1832, 1832, -2*w^3 + 4*w^2 + 7*w - 5]', '[1837, 1837, -8*w^3 + 5*w^2 + 36*w - 10]', '[1837, 1837, -5*w^3 + 2*w^2 + 26*w - 6]', '[1838, 1838, 4*w^3 + 3*w^2 - 15*w - 6]', '[1840, 230, 2*w^3 - 2*w^2 - 14*w]', '[1840, 1840, 3*w^3 - w^2 - 14*w + 8]', '[1847, 1847, -w^3 + 11*w - 5]', '[1847, 1847, -2*w^3 + w^2 + 11*w - 9]', '[1849, 1849, 7*w^3 - w^2 - 35*w]', '[1853, 1853, 3*w^3 - 3*w^2 - 13*w + 2]', '[1853, 1853, -w^3 + w^2 - w + 4]', '[1856, 116, w^3 - 3*w^2 + 7]', '[1856, 232, 2*w^3 - 8*w + 6]', '[1856, 1856, -3*w^3 - 3*w^2 + 11*w + 11]', '[1859, 143, -6*w^3 + 3*w^2 + 25*w - 7]', '[1859, 143, -4*w^3 + 2*w^2 + 15*w - 2]', '[1861, 1861, 5*w^3 - 2*w^2 - 24*w]', '[1861, 1861, 2*w^3 + 3*w^2 - 10*w - 10]', '[1863, 69, 3*w^2 - 6]', '[1864, 466, 3*w^3 + w^2 - 14*w - 1]', '[1864, 466, w^3 + 3*w^2 - 6*w - 9]', '[1864, 466, 5*w^3 - 3*w^2 - 22*w + 3]', '[1864, 466, 5*w^3 - w^2 - 24*w + 5]', '[1864, 1864, -w^3 - 3*w^2 + 5*w + 7]', '[1864, 1864, w^2 + 2*w + 5]', '[1864, 1864, -4*w^3 + w^2 + 21*w + 10]', '[1864, 1864, w^3 + 3*w^2 - 10*w + 2]', '[1865, 1865, -5*w^3 + 19*w - 3]', '[1867, 1867, 4*w^3 - 2*w^2 - 19*w]', '[1868, 1868, w^3 + w^2 - 10*w]', '[1868, 1868, -3*w^3 - w^2 + 21*w - 5]', '[1870, 1870, 2*w^3 + 3*w^2 - 14*w - 5]', '[1871, 1871, 2*w^3 - 8*w - 9]', '[1871, 1871, 7*w^3 - 2*w^2 - 35*w + 5]', '[1873, 1873, 3*w^3 - 17*w - 3]', '[1874, 1874, w^3 - 2*w^2 - 11*w - 2]', '[1874, 1874, 3*w^3 - 2*w^2 - 13*w - 2]', '[1880, 470, 7*w^3 + w^2 - 32*w - 11]', '[1880, 470, -3*w^3 - w^2 + 16*w + 1]', '[1880, 1880, 6*w^3 + w^2 - 25*w - 2]', '[1880, 1880, -5*w^3 + w^2 + 20*w - 4]', '[1882, 1882, 3*w^3 + 3*w^2 - 16*w - 8]', '[1888, 236, 2*w^3 - 12*w - 10]', '[1888, 236, 6*w^3 - 34*w - 16]', '[1888, 1888, -2*w^3 - w^2 + 11*w + 12]', '[1888, 1888, -3*w^3 + 17*w + 2]', '[1892, 1892, 3*w^3 + 2*w^2 - 13*w - 4]', '[1895, 1895, -4*w^3 + w^2 + 22*w + 4]', '[1901, 1901, 2*w^3 + w^2 - 7*w - 9]', '[1901, 1901, 9*w^3 - 3*w^2 - 43*w + 8]', '[1903, 1903, -2*w^3 + 13*w + 2]', '[1903, 1903, -w^3 + w^2 + 11*w + 4]', '[1906, 1906, 5*w^2 + 5*w - 4]', '[1909, 1909, -2*w^3 - w^2 + 14*w + 6]', '[1910, 1910, 4*w^3 - w^2 - 16*w - 1]', '[1910, 1910, -w^3 + 2*w^2 + 2*w - 9]', '[1912, 478, -3*w^3 + 3*w^2 + 16*w - 17]', '[1912, 478, -13*w^3 + 5*w^2 + 62*w - 13]', '[1912, 1912, -5*w^3 - 2*w^2 + 26*w + 9]', '[1912, 1912, w^3 + 2*w^2 - 5*w - 14]', '[1913, 1913, -7*w^3 + 2*w^2 + 30*w + 4]', '[1915, 1915, -5*w^3 - w^2 + 21*w + 2]', '[1916, 1916, 4*w^3 - w^2 - 15*w - 4]', '[1921, 1921, 12*w^3 + 5*w^2 - 61*w - 33]', '[1921, 1921, -3*w^2 + w + 7]', '[1922, 1922, -3*w^2 + w + 8]', '[1928, 482, -w^3 + 3*w^2 + 2*w - 11]', '[1928, 1928, -5*w^3 - w^2 + 21*w + 9]', '[1930, 1930, w^3 + 2*w^2 - 3*w - 10]', '[1931, 1931, 3*w^3 - w^2 - 17*w]', '[1933, 1933, -4*w^3 + 2*w^2 + 17*w + 2]', '[1936, 22, 4*w^3 + 2*w^2 - 16*w - 4]', '[1936, 22, 6*w^3 - 26*w - 2]', '[1936, 176, w^3 - 2*w^2 - 7*w + 8]', '[1936, 176, 5*w^3 - 5*w^2 - 23*w + 15]', '[1942, 1942, -3*w^3 - 4*w^2 + 17*w + 12]', '[1945, 1945, -7*w^3 + 2*w^2 + 30*w - 12]', '[1949, 1949, -5*w^3 + w^2 + 21*w - 2]', '[1949, 1949, -5*w^3 + 4*w^2 + 22*w - 6]', '[1951, 1951, 8*w^3 + 3*w^2 - 38*w - 18]', '[1954, 1954, 4*w^3 - 3*w^2 - 15*w + 8]', '[1955, 1955, 5*w^3 + 2*w^2 - 20*w - 8]', '[1958, 1958, -7*w^3 + 4*w^2 + 31*w - 6]', '[1964, 1964, 3*w^3 + 2*w^2 - 5*w - 4]', '[1964, 1964, 3*w^3 - 16*w - 11]', '[1966, 1966, 3*w^3 - 2*w^2 - 14*w - 1]', '[1966, 1966, -w^3 - 2*w^2 + 5]', '[1972, 1972, -w^3 - 3*w^2 + 4*w + 8]', '[1978, 1978, -3*w^3 - 2*w^2 + 12*w + 11]', '[1984, 124, -3*w^3 + w^2 + 16*w - 9]', '[1984, 248, -2*w^3 - 2*w^2 + 10*w + 2]', '[1984, 1984, -w^2 + 6*w - 5]', '[1985, 1985, 8*w^3 + w^2 - 40*w - 18]', '[1985, 1985, -5*w^3 + w^2 + 21*w + 4]', '[1987, 1987, -8*w^3 - w^2 + 39*w + 17]', '[1987, 1987, 6*w^3 + w^2 - 26*w - 12]', '[1991, 1991, -5*w^3 + 21*w - 3]', '[1991, 1991, -4*w^3 + 18*w - 3]', '[1993, 1993, -2*w^3 + 13*w - 8]', '[1993, 1993, 3*w^2 - 8]', '[1994, 1994, 4*w^3 + w^2 - 24*w - 15]', '[1994, 1994, -5*w^3 + w^2 + 24*w - 6]', '[1999, 1999, 2*w^3 - 9*w + 6]', '[2000, 10, -6*w^3 - 2*w^2 + 26*w + 8]', '[2000, 80, -w^3 + 3*w^2 + 6*w - 12]', '[2000, 250, 4*w^3 - 18*w + 4]', '[2000, 2000, 3*w^3 - w^2 - 18*w - 4]', '[2005, 2005, -3*w^3 + 2*w^2 + 18*w]', '[2006, 2006, 9*w^3 - 43*w - 12]', '[2006, 2006, -w^3 + 4*w^2 + 2*w - 15]', '[2011, 2011, 11*w^3 - 4*w^2 - 52*w + 10]', '[2018, 2018, -7*w^3 + 2*w^2 + 33*w - 6]', '[2020, 2020, 7*w^3 - w^2 - 29*w + 11]', '[2020, 2020, 4*w^3 - w^2 - 16*w + 9]', '[2021, 2021, 5*w^3 - 5*w^2 - 21*w + 10]', '[2021, 2021, -2*w^2 + 7*w + 6]', '[2024, 506, 3*w^3 + 3*w^2 - 10*w - 3]', '[2024, 2024, -w^2 - 4*w + 5]', '[2025, 75, -3*w^3 + 3*w^2 + 9*w - 6]', '[2032, 254, 4*w^3 - 16*w - 2]', '[2032, 254, -2*w^3 + 4*w^2 + 6*w - 6]', '[2032, 2032, -2*w^3 + 3*w^2 + 14*w - 7]', '[2032, 2032, 3*w^3 - 4*w^2 - 12*w + 9]', '[2036, 2036, 5*w^3 - 22*w + 1]', '[2036, 2036, -3*w^3 - 3*w^2 + 9*w + 1]', '[2047, 2047, -5*w^3 + 4*w^2 + 20*w - 4]', '[2048, 8, 4*w^3 - 4*w^2 - 16*w + 12]', '[2048, 32, 4*w^3 - 16*w - 4]', '[2048, 256, 2*w^3 - 4*w^2 - 6*w + 8]', '[2048, 2048, 3*w^3 - 2*w^2 - 13*w - 4]', '[2053, 2053, 6*w^3 - w^2 - 27*w - 7]', '[2053, 2053, -2*w^3 + 2*w^2 + 6*w - 7]', '[2057, 187, 3*w^3 - 4*w^2 - 12*w + 8]', '[2057, 187, 8*w^3 + w^2 - 41*w - 17]', '[2059, 2059, w^3 - 6*w - 8]', '[2062, 2062, 3*w^3 + 4*w^2 - 12*w - 9]', '[2066, 2066, 3*w^3 + 4*w^2 - 11*w - 6]', '[2066, 2066, -4*w^3 + 3*w^2 + 14*w - 7]', '[2066, 2066, 5*w^2 + 6*w - 5]', '[2066, 2066, -4*w^3 + 3*w^2 + 18*w - 3]', '[2068, 2068, -2*w^3 + 3*w^2 + 12*w - 1]', '[2068, 2068, 3*w^3 - 2*w^2 - 20*w - 5]', '[2069, 2069, 3*w^3 + 3*w^2 - 17*w - 8]', '[2075, 2075, -w^3 - 3*w^2 + 9*w + 2]', '[2078, 2078, -3*w^3 + 3*w^2 + 11*w - 9]', '[2078, 2078, 2*w^3 - w^2 - 16*w - 7]', '[2083, 2083, -13*w^3 + 7*w^2 + 59*w - 18]', '[2087, 2087, 4*w^3 + w^2 - 23*w - 11]', '[2092, 2092, w^3 - 3*w^2 + 5*w + 1]', '[2095, 2095, 4*w^3 + 4*w^2 - 15*w - 8]', '[2101, 2101, -8*w^3 + 5*w^2 + 40*w - 12]', '[2101, 2101, 5*w^3 - 4*w^2 - 26*w + 12]', '[2102, 2102, -4*w^3 - w^2 + 13*w + 6]', '[2104, 526, -5*w^3 + w^2 + 24*w + 5]', '[2104, 2104, -4*w^3 + 4*w^2 + 15*w - 3]', '[2108, 2108, -2*w^3 + 3*w^2 + 12*w - 9]', '[2111, 2111, 2*w^2 + 2*w - 9]', '[2113, 2113, -2*w^3 + 3*w^2 + 5*w - 7]', '[2116, 2116, 3*w^3 + w^2 - 15*w - 1]', '[2120, 530, -w^3 + w^2 + 8*w - 7]', '[2120, 2120, -4*w^3 + 5*w^2 + 21*w - 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34*w - 25]', '[2360, 590, 17*w^3 + 5*w^2 - 84*w - 43]', '[2360, 2360, w^3 + 2*w^2 - 8*w - 15]', '[2360, 2360, 9*w^3 - 47*w - 18]', '[2363, 2363, 11*w^3 + 6*w^2 - 55*w - 33]', '[2365, 2365, -2*w^3 + 5*w + 6]', '[2372, 2372, w^3 - w^2 + w - 5]', '[2381, 2381, 9*w^3 - 6*w^2 - 39*w + 11]', '[2386, 2386, w^3 - 10*w - 9]', '[2386, 2386, -w^3 - 5*w^2 + w - 1]', '[2389, 2389, -4*w^3 + 3*w^2 + 23*w - 7]', '[2390, 2390, -5*w^3 - w^2 + 27*w + 5]', '[2390, 2390, 4*w^3 - w^2 - 13*w - 12]', '[2395, 2395, -4*w^3 - 3*w^2 + 17*w + 15]', '[2398, 2398, 2*w^3 - w^2 - 14*w + 7]', '[2398, 2398, 6*w^3 - 5*w^2 - 28*w + 9]', '[2399, 2399, 5*w^3 - 2*w^2 - 22*w - 2]', '[2401, 7, -7]', '[2407, 2407, -4*w^3 + w^2 + 21*w + 7]', '[2410, 2410, 2*w^3 + 4*w^2 - 13*w - 11]', '[2414, 2414, 3*w^3 - 2*w^2 - 7*w - 8]', '[2420, 220, 3*w^3 - 5*w^2 - 18*w + 12]', '[2420, 220, 3*w^3 + w^2 - 17*w + 1]', '[2434, 2434, 2*w^2 + 5*w - 5]', '[2434, 2434, 2*w^2 - 3*w - 13]', '[2437, 2437, -2*w^3 - 2*w^2 + 10*w + 1]', '[2437, 2437, -10*w^3 + 4*w^2 + 48*w - 13]', '[2437, 2437, -3*w^3 + 2*w^2 + 17*w - 11]', '[2437, 2437, w^3 - 4*w - 8]', '[2438, 2438, -3*w^3 + 3*w^2 + 16*w - 2]', '[2441, 2441, 4*w^3 + 4*w^2 - 17*w - 18]', '[2446, 2446, -6*w^3 + w^2 + 26*w + 5]', '[2446, 2446, -w^2 - 3*w - 6]', '[2447, 2447, -3*w^3 + 2*w^2 + 14*w + 2]', '[2452, 2452, w^3 - 4*w^2 - 13*w - 4]', '[2455, 2455, 9*w^3 + 3*w^2 - 43*w - 28]', '[2455, 2455, 4*w^3 - 14*w - 9]', '[2458, 2458, -2*w^2 - 9*w - 3]', '[2461, 2461, -w^3 - 10]', '[2461, 2461, 6*w^3 - w^2 - 30*w + 4]', '[2465, 2465, 4*w^3 - w^2 - 15*w - 3]', '[2468, 2468, -3*w^3 + 4*w^2 + 13*w - 10]', '[2468, 2468, -w^3 + 2*w^2 + 9*w - 6]', '[2468, 2468, 4*w^3 + 2*w^2 - 17*w - 5]', '[2468, 2468, w^3 + 3*w^2 - 9*w + 1]', '[2473, 2473, 3*w^3 + 2*w^2 - 12*w - 2]', '[2474, 2474, 3*w^3 - 2*w^2 - 14*w - 5]', '[2474, 2474, -w^3 - w^2 + 13*w + 7]', '[2476, 2476, 4*w^3 - 15*w - 5]', '[2477, 2477, -3*w^3 + 2*w^2 + 18*w - 4]', '[2477, 2477, -w^3 + 3*w^2 + 7*w - 10]', '[2480, 310, -4*w^3 - 2*w^2 + 22*w + 6]', '[2480, 2480, -5*w^3 + w^2 + 21*w - 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5]', '[2525, 2525, 4*w^3 - 2*w^2 - 22*w + 5]', '[2525, 2525, 5*w^3 - 3*w^2 - 29*w + 10]', '[2530, 2530, -w^2 - 3*w + 10]', '[2536, 634, w^3 + 5*w^2 - 8*w - 19]', '[2536, 2536, -9*w^3 - w^2 + 42*w + 20]', '[2537, 2537, -3*w^3 + 2*w^2 + 16*w + 2]', '[2537, 2537, 6*w^3 - 2*w^2 - 28*w - 1]', '[2539, 2539, -6*w^3 + 2*w^2 + 26*w - 1]', '[2540, 2540, -3*w^3 - w^2 + 16*w - 4]', '[2540, 2540, w^3 - 3*w^2 - 9*w + 7]', '[2543, 2543, -6*w^3 + 5*w^2 + 24*w - 12]', '[2545, 2545, -6*w^2 - 4*w + 17]', '[2545, 2545, -4*w^3 - w^2 + 19*w + 3]', '[2549, 2549, -14*w^3 + 8*w^2 + 63*w - 20]', '[2549, 2549, -6*w^3 + w^2 + 28*w + 6]', '[2551, 2551, 5*w^3 - 26*w - 4]', '[2552, 638, -w^3 - w^2 + 2*w + 9]', '[2552, 2552, 2*w^3 - 4*w^2 - 11*w + 9]', '[2557, 2557, 3*w^3 - 4*w^2 - 13*w + 9]', '[2560, 40, -4*w^2 + 4*w + 8]', '[2560, 40, 3*w^3 - w^2 - 12*w + 9]', '[2560, 320, -2*w^2 - 4*w + 6]', '[2560, 2560, 4*w^3 - 21*w + 5]', '[2563, 2563, 2*w^3 - 3*w + 4]', '[2563, 2563, -w^3 + 10*w + 2]', '[2563, 2563, 4*w^3 - 2*w^2 - 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14*w - 15]', '[5303, 5303, -6*w^3 + 3*w^2 + 24*w + 4]', '[5303, 5303, 5*w^3 - 2*w^2 - 27*w + 5]', '[5303, 5303, 6*w^3 - 3*w^2 - 27*w + 1]', '[5303, 5303, -4*w^2 + 8*w + 9]', '[5308, 5308, 4*w^3 + w^2 - 18*w + 1]', '[5308, 5308, -2*w^3 + w^2 + 4*w - 7]', '[5311, 5311, -8*w^3 + w^2 + 41*w + 11]', '[5311, 5311, 3*w - 10]', '[5311, 5311, w^3 + 2*w^2 - 10*w - 10]', '[5311, 5311, -4*w^3 + 2*w^2 + 19*w + 4]', '[5312, 332, -9*w^3 - w^2 + 44*w + 21]', '[5312, 664, -4*w^3 + 4*w^2 + 14*w + 2]', '[5312, 5312, -9*w^3 - 2*w^2 + 39*w + 20]', '[5314, 5314, 5*w^3 + 3*w^2 - 12*w - 6]', '[5315, 5315, 4*w^3 - 2*w^2 - 14*w + 9]', '[5318, 5318, -2*w^3 - w^2 + 15*w + 2]', '[5321, 5321, 6*w^3 + 3*w^2 - 27*w - 23]', '[5321, 5321, 5*w^3 - 23*w - 15]', '[5323, 5323, 5*w^3 - 4*w^2 - 20*w + 2]', '[5323, 5323, -w^3 + w^2 + 7*w - 12]', '[5324, 44, 5*w^3 - 3*w^2 - 32*w - 10]', '[5324, 484, -3*w^3 - 3*w^2 + 19*w + 15]', '[5326, 5326, 3*w^3 + 3*w^2 - 11*w - 1]', '[5332, 5332, w^3 + w - 6]', '[5336, 1334, 7*w^3 + w^2 - 30*w - 13]', '[5336, 5336, -5*w^2 + 5*w + 12]', '[5338, 5338, 2*w^3 + w^2 - 6*w - 11]', '[5342, 5342, 2*w^3 - 5*w^2 - 14*w + 3]', '[5344, 668, 2*w^3 + 4*w^2 - 8*w - 10]', '[5344, 668, 2*w^3 + 2*w^2 - 6*w - 10]', '[5344, 5344, -4*w^3 - w^2 + 22*w - 1]', '[5344, 5344, -5*w^3 + 2*w^2 + 19*w]', '[5345, 5345, -5*w^3 + 2*w^2 + 17*w - 17]', '[5347, 5347, -w^3 + 6*w^2 - 3*w - 9]', '[5350, 5350, 6*w^3 - 5*w^2 - 24*w + 5]', '[5350, 5350, -8*w^3 - w^2 + 34*w + 5]', '[5353, 5353, -w^3 + 2*w^2 - w - 7]', '[5353, 5353, -5*w^3 + 4*w^2 + 22*w - 4]', '[5354, 5354, -5*w^3 + 2*w^2 + 17*w - 4]', '[5354, 5354, 3*w^3 - 3*w^2 - 19*w - 3]', '[5354, 5354, 4*w^3 + w^2 - 15*w - 12]', '[5354, 5354, 3*w^3 - 7*w - 6]', '[5359, 5359, 5*w^3 - 27*w + 7]', '[5359, 5359, 4*w^3 - 13*w - 2]', '[5359, 5359, w^3 - 2*w^2 - 12*w]', '[5359, 5359, w^3 - 13*w - 9]', '[5363, 5363, -w^3 + 3*w^2 + 3*w + 4]', '[5363, 5363, 2*w^2 - 5*w + 6]', '[5374, 5374, 2*w^3 + w^2 - 5*w - 8]', '[5375, 215, 2*w^3 - 6*w^2 - 2*w + 9]', '[5375, 5375, 4*w^3 - 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10]', '[5410, 5410, 4*w^3 - 3*w^2 - 16*w - 3]', '[5413, 5413, 4*w^2 - 2*w - 9]', '[5413, 5413, 4*w^3 - 2*w^2 - 23*w]', '[5413, 5413, -3*w^3 + 5*w^2 + 11*w - 12]', '[5413, 5413, 2*w^3 - 15*w - 4]', '[5414, 5414, 5*w^3 + 3*w^2 - 16*w - 6]', '[5417, 5417, -2*w^3 + 3*w^2 + 6*w - 12]', '[5417, 5417, w^3 + 4*w^2 - 4*w - 8]', '[5419, 5419, -4*w^2 + 6*w + 11]', '[5420, 5420, -2*w^3 + w^2 + 16*w + 5]', '[5422, 5422, w^2 - 8*w - 7]', '[5422, 5422, -4*w^3 + 5*w^2 + 18*w - 5]', '[5423, 5423, 6*w^3 - 25*w - 2]', '[5428, 5428, -8*w^3 + w^2 + 40*w + 3]', '[5428, 5428, -4*w^3 - 4*w^2 + 21*w + 27]', '[5431, 5431, -6*w^3 + 6*w^2 + 26*w - 15]', '[5435, 5435, -5*w^3 + w^2 + 19*w - 2]', '[5435, 5435, -9*w^3 + 2*w^2 + 37*w - 15]', '[5437, 5437, w^3 + 4*w^2 - 3*w - 9]', '[5437, 5437, 11*w^3 - 4*w^2 - 50*w + 2]', '[5438, 5438, -3*w^3 - 5*w^2 + 14*w + 8]', '[5440, 340, 5*w^3 - 3*w^2 - 24*w + 15]', '[5440, 680, 4*w^3 + 2*w^2 - 18*w - 4]', '[5440, 5440, w^3 - w^2 - 9*w + 9]', '[5443, 5443, w^3 - w^2 - 7*w - 8]', '[5444, 5444, -2*w^3 - w^2 + 9*w - 6]', '[5449, 5449, 7*w^3 + 2*w^2 - 36*w - 10]', '[5450, 5450, 5*w^3 - 6*w^2 - 18*w + 5]', '[5450, 5450, 3*w^3 - 2*w^2 - 20*w + 9]', '[5452, 5452, 8*w^3 - w^2 - 34*w + 7]', '[5452, 5452, -9*w^3 + 4*w^2 + 37*w - 12]', '[5455, 5455, 5*w^3 - 2*w^2 - 19*w + 1]', '[5455, 5455, -6*w^3 + 2*w^2 + 31*w - 2]', '[5456, 682, 2*w^2 + 4*w - 8]', '[5456, 5456, -5*w^3 + 27*w - 6]', '[5461, 5461, -w^3 + 4*w^2 + 4*w - 10]', '[5461, 5461, -4*w^3 + 6*w^2 + 15*w - 16]', '[5464, 1366, -5*w^3 + 3*w^2 + 26*w - 17]', '[5464, 5464, -4*w^3 - 2*w^2 + 21*w + 5]', '[5465, 5465, 8*w^3 - 2*w^2 - 35*w + 4]', '[5468, 5468, w^3 - 4*w^2 + 3*w - 4]', '[5471, 5471, -w^2 - 8*w - 8]', '[5471, 5471, 2*w^3 + 4*w^2 - 11*w - 14]', '[5476, 148, -4*w^3 + 3*w^2 + 14*w - 9]', '[5476, 148, -3*w^3 + 5*w^2 + 4*w - 6]', '[5477, 5477, 2*w^3 - 4*w - 7]', '[5479, 5479, 4*w^3 + 2*w^2 - 15*w - 12]', '[5479, 5479, 6*w^3 - 4*w^2 - 31*w + 16]', '[5480, 1370, 9*w^3 - w^2 - 40*w - 13]', '[5480, 1370, 7*w^3 - w^2 - 30*w - 7]', '[5480, 5480, 6*w^3 - 27*w + 1]', '[5480, 5480, 6*w^3 - w^2 - 31*w - 2]', '[5482, 5482, -5*w^3 - 5*w^2 + 23*w + 13]', '[5482, 5482, 3*w^3 + 4*w^2 - 10*w - 3]', '[5483, 5483, 3*w^3 - 2*w^2 - 19*w + 3]', '[5483, 5483, -5*w^3 + 2*w^2 + 26*w + 4]', '[5485, 5485, 3*w^3 + 4*w^2 - 15*w - 15]', '[5492, 5492, -w^3 - 3*w^2 + 13*w + 3]', '[5492, 5492, 4*w^3 + w^2 - 21*w]', '[5497, 5497, 2*w^3 + w^2 - 6*w - 12]', '[5497, 5497, -6*w^3 + w^2 + 31*w + 1]', '[5498, 5498, -3*w^3 - w^2 + 19*w + 3]', '[5498, 5498, 3*w^3 + 2*w^2 - 14*w - 1]', '[5500, 220, -6*w^3 + 3*w^2 + 41*w + 18]', '[5500, 5500, 3*w^3 - 5*w^2 - 6*w + 8]', '[5501, 5501, -3*w^3 - w^2 + 19*w + 6]', '[5501, 5501, 2*w^3 + w^2 - 15*w - 3]', '[5501, 5501, -6*w^3 + w^2 + 25*w + 5]', '[5501, 5501, -2*w^3 + w^2 + 11*w + 9]', '[5503, 5503, 2*w^2 - 4*w - 11]', '[5504, 172, 10*w^3 - 6*w^2 - 44*w + 10]', '[5504, 688, -4*w^2 + 2*w + 10]', '[5504, 5504, 7*w^3 - 5*w^2 - 26*w + 4]', '[5506, 5506, -w^3 + 4*w^2 + 4*w - 9]', '[5506, 5506, 5*w^3 + 4*w^2 - 13*w - 6]', '[5508, 204, 3*w^2 - 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2]', '[229, 229, -2*w^3 + w^2 + 10*w - 6]', '[233, 233, 4*w^3 - 3*w^2 - 17*w + 5]', '[233, 233, 2*w^3 + w^2 - 7*w - 5]', '[233, 233, w^3 - 7*w - 1]', '[233, 233, 2*w^3 - 7*w]', '[239, 239, 2*w^2 - 2*w - 7]', '[239, 239, -4*w^3 + w^2 + 18*w]', '[241, 241, w^3 - 5*w - 5]', '[263, 263, -4*w^3 + w^2 + 20*w - 4]', '[269, 269, w^3 + 2*w^2 - 6*w - 6]', '[271, 271, 2*w^3 + w^2 - 12*w - 8]', '[277, 277, w^3 + w^2 - 7*w - 6]', '[283, 283, 6*w^3 - 3*w^2 - 27*w + 7]', '[283, 283, -3*w^3 + 3*w^2 + 13*w - 8]', '[293, 293, -2*w^3 + w^2 + 9*w + 3]', '[293, 293, 4*w^3 - w^2 - 19*w + 3]', '[313, 313, 2*w^2 - w - 4]', '[313, 313, -2*w^3 + 2*w^2 + 8*w - 1]', '[317, 317, 3*w^3 + w^2 - 13*w - 10]', '[331, 331, w^3 + 2*w^2 - 4*w - 6]', '[349, 349, -w^3 + 3*w^2 + w - 4]', '[353, 353, 3*w^3 - 14*w]', '[353, 353, -2*w^3 + w^2 + 7*w + 5]', '[361, 19, -5*w^3 + w^2 + 23*w - 2]', '[361, 19, -2*w^3 + 7*w + 6]', '[373, 373, -w^3 + 4*w - 4]', '[379, 379, -w^3 - 2*w^2 + 5*w + 7]', '[383, 383, w^2 - 2*w - 6]', '[389, 389, -4*w^3 + 2*w^2 + 16*w - 5]', '[397, 397, 5*w^3 - 2*w^2 - 24*w + 2]', '[397, 397, 3*w^3 + 2*w^2 - 16*w - 14]', '[401, 401, 2*w^2 - 5]', '[419, 419, -w^3 - w^2 + 9*w + 6]', '[439, 439, 3*w^3 - w^2 - 15*w - 2]', '[449, 449, 4*w^3 + w^2 - 17*w - 5]', '[449, 449, 4*w^3 - w^2 - 17*w - 5]', '[467, 467, -3*w^3 + 16*w - 2]', '[467, 467, 2*w^3 + w^2 - 10*w - 2]', '[479, 479, 4*w^3 - 19*w - 8]', '[491, 491, 3*w - 4]', '[491, 491, -w^3 + 2*w^2 + 5*w - 11]', '[509, 509, -7*w^3 + 3*w^2 + 33*w - 10]', '[509, 509, 4*w^3 - w^2 - 21*w - 3]', '[523, 523, -w^3 - 2*w^2 + 6*w + 2]', '[541, 541, -5*w^3 + 2*w^2 + 26*w - 8]', '[541, 541, 2*w^3 + w^2 - 9*w - 1]', '[571, 571, -4*w^3 + 3*w^2 + 20*w - 14]', '[571, 571, -3*w^3 - w^2 + 15*w + 4]', '[593, 593, w^3 - 4*w - 6]', '[613, 613, 4*w^3 - 2*w^2 - 19*w + 2]', '[617, 617, -w^3 + 3*w - 5]', '[617, 617, -w^3 + 2*w^2 + 3*w - 9]', '[617, 617, 8*w^3 - 3*w^2 - 38*w + 8]', '[617, 617, w^3 - 8*w]', '[619, 619, 6*w^3 - 3*w^2 - 26*w + 4]', '[631, 631, 3*w^3 + w^2 - 17*w - 8]', '[631, 631, w^2 - 3*w - 5]', '[641, 641, -3*w^3 + 2*w^2 + 16*w - 10]', '[643, 643, -2*w^3 + 3*w^2 + 7*w - 9]', '[647, 647, w^3 - w^2 - 3*w - 4]', '[653, 653, 2*w^3 + w^2 - 11*w - 1]', '[653, 653, w^3 + 2*w^2 - 7*w - 9]', '[653, 653, -4*w^3 - w^2 + 17*w + 3]', '[653, 653, 3*w^3 - 2*w^2 - 13*w + 1]', '[661, 661, 2*w^3 - 3*w^2 - 8*w + 8]', '[673, 673, 3*w^3 - 12*w - 2]', '[673, 673, 2*w^3 - w^2 - 12*w]', '[683, 683, -w^3 + 2*w^2 + 2*w - 6]', '[691, 691, -5*w^3 + 22*w + 8]', '[691, 691, 2*w^3 - 12*w - 3]', '[719, 719, 6*w^3 + w^2 - 28*w - 8]', '[733, 733, -3*w^2 + 3*w + 7]', '[733, 733, 3*w^3 - 14*w + 2]', '[733, 733, -w^3 + w^2 + 7*w - 8]', '[733, 733, 2*w^3 - 6*w - 5]', '[751, 751, 3*w^3 + 3*w^2 - 13*w - 12]', '[751, 751, 5*w^3 - 2*w^2 - 25*w + 5]', '[751, 751, -4*w^3 + 3*w^2 + 20*w - 12]', '[751, 751, 2*w^3 + w^2 - 9*w + 1]', '[757, 757, -3*w^3 + w^2 + 11*w + 2]', '[773, 773, w^3 - w^2 - 7*w + 6]', '[787, 787, -9*w^3 + 4*w^2 + 43*w - 13]', '[787, 787, w^2 + 2*w - 6]', '[797, 797, -w^3 + 4*w^2 - 2*w - 6]', '[797, 797, 2*w^3 - w^2 - 9*w + 7]', '[821, 821, -6*w^3 + 27*w + 2]', '[823, 823, 8*w^3 - 4*w^2 - 37*w + 8]', '[827, 827, -3*w^3 + 3*w^2 + 15*w - 4]', '[829, 829, w^3 + w^2 - 3*w - 8]', '[839, 839, 2*w^3 - 3*w^2 - 8*w + 6]', '[839, 839, 8*w^3 - 2*w^2 - 38*w + 3]', '[859, 859, 4*w^3 - 2*w^2 - 18*w + 1]', '[859, 859, -4*w^3 + 4*w^2 + 17*w - 10]', '[863, 863, -4*w^3 + w^2 + 19*w + 3]', '[877, 877, -4*w^3 + w^2 + 18*w + 4]', '[883, 883, -6*w^3 + 3*w^2 + 31*w - 13]', '[883, 883, 4*w^3 - w^2 - 17*w - 1]', '[887, 887, 3*w^3 - 4*w^2 - 11*w + 11]', '[907, 907, 5*w^3 - 4*w^2 - 21*w + 11]', '[907, 907, -2*w^3 + 2*w^2 + 8*w - 11]', '[911, 911, 2*w^3 - 2*w^2 - 11*w]', '[919, 919, 4*w^3 - 17*w - 2]', '[937, 937, 3*w^3 - 2*w^2 - 15*w + 1]', '[937, 937, 3*w^3 - 17*w + 1]', '[941, 941, 4*w^3 - w^2 - 16*w - 4]', '[953, 953, -2*w^3 + 2*w^2 + 13*w - 6]', '[971, 971, -3*w^3 + 11*w + 9]', '[977, 977, 8*w^3 - 4*w^2 - 39*w + 16]', '[983, 983, 4*w^3 - w^2 - 21*w + 3]', '[983, 983, 2*w^3 - 3*w^2 - 9*w + 7]', '[997, 997, w^3 - w^2 - w - 6]', '[997, 997, w^3 - 9*w - 3]']}
88. label: 4.4.7053.1
    {'degree': 4, 'discriminant': 7053, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[7, 7, w^2 - w - 2]', '[9, 3, w^3 - 2*w^2 - 3*w + 3]', '[9, 3, w^2 - 2*w - 1]', '[13, 13, w^3 - 3*w^2 - w + 5]', '[13, 13, w^3 - 3*w^2 - w + 2]', '[16, 2, 2]', '[17, 17, -w^3 + 2*w^2 + 2*w - 2]', '[19, 19, -w^3 + 2*w^2 + 2*w - 1]', '[21, 21, -w^2 + 2*w]', '[27, 3, -w^3 + 2*w^2 + 4*w - 3]', '[27, 9, w^2 - 3]', '[29, 29, -2*w^3 + 5*w^2 + 4*w - 7]', '[31, 31, w^3 - 2*w^2 - 4*w + 2]', '[39, 39, -w^3 + 3*w^2 + 2*w - 3]', '[39, 39, -2*w^3 + 5*w^2 + 4*w - 6]', '[47, 47, -w^3 + 4*w^2 - w - 5]', '[48, 6, 2*w]', '[49, 49, -w^3 + 3*w^2 - 4]', '[51, 51, w^3 - w^2 - 5*w]', '[53, 53, -w^3 + 4*w^2 - w - 7]', '[57, 57, 2*w^3 - 5*w^2 - 5*w + 6]', '[63, 21, -w^3 + 3*w^2 + 3*w - 3]', '[63, 21, -w^3 + 4*w^2 - 8]', '[67, 67, 2*w^3 - 3*w^2 - 8*w + 1]', '[67, 67, 2*w^3 - 5*w^2 - 4*w + 4]', '[71, 71, w^3 - 3*w^2 - 2*w + 2]', '[79, 79, w^2 - 3*w - 4]', '[81, 3, 3]', '[81, 9, w^3 - 4*w^2 + 5]', '[81, 9, -2*w^2 + 3*w + 6]', '[83, 83, 2*w^2 - 3*w - 4]', '[87, 87, w^3 - 4*w^2 - w + 6]', '[89, 89, -3*w^3 + 7*w^2 + 8*w - 11]', '[91, 91, -w^3 + 3*w^2 + 2*w - 8]', '[91, 91, w^2 - 4]', '[93, 93, -w - 3]', '[101, 101, w^3 - 2*w^2 - 3*w - 2]', '[103, 103, -2*w^3 + 4*w^2 + 5*w - 1]', '[107, 107, w^3 - 2*w^2 - w - 1]', '[107, 107, 2*w^2 - 3*w - 5]', '[109, 109, w^3 - 4*w^2 + 7]', '[109, 109, -w^3 + w^2 + 4*w - 1]', '[112, 14, 2*w^2 - 2*w - 4]', '[113, 113, -w^3 + 3*w^2 - 5]', '[113, 113, 2*w^2 - 2*w - 5]', '[117, 39, w^3 - w^2 - 6*w]', '[117, 39, 2*w^3 - 5*w^2 - 3*w + 4]', '[117, 39, w^3 - 4*w^2 + 6]', '[117, 39, -w^3 + w^2 + 6*w + 1]', '[119, 119, -2*w^3 + 6*w^2 + 3*w - 7]', '[127, 127, -2*w^3 + 5*w^2 + 3*w - 5]', '[133, 133, -2*w^3 + 6*w^2 + 2*w - 5]', '[137, 137, w^3 - 2*w^2 - 5*w + 5]', '[137, 137, -w^3 + w^2 + 5*w - 1]', '[141, 141, 2*w^3 - 5*w^2 - 2*w + 3]', '[144, 6, 2*w^3 - 4*w^2 - 6*w + 6]', '[144, 6, 2*w^2 - 4*w - 2]', '[147, 147, -w^3 + 2*w^2 + 2*w + 3]', '[151, 151, 3*w^3 - 6*w^2 - 9*w + 5]', '[151, 151, -2*w^3 + 4*w^2 + 5*w - 4]', '[153, 51, -w^3 + 3*w^2 - w - 4]', '[153, 51, w^3 - w^2 - 3*w - 3]', '[157, 157, -w^3 + 4*w^2 - w - 8]', '[159, 159, 2*w^3 - 5*w^2 - 4*w + 3]', '[163, 163, 2*w^3 - 5*w^2 - 5*w + 5]', '[163, 163, w^3 - 4*w^2 - w + 11]', '[167, 167, 2*w^3 - 3*w^2 - 6*w - 1]', '[167, 167, w^3 - 2*w^2 - w - 4]', '[169, 13, w^2 - 4*w + 1]', '[169, 13, 3*w^3 - 8*w^2 - 6*w + 10]', '[169, 169, -2*w^3 + 4*w^2 + 5*w - 2]', '[169, 169, 2*w^2 - 3*w - 1]', '[171, 57, -w^3 + 3*w^2 - 6]', '[171, 57, w^2 + w - 4]', '[173, 173, -2*w^3 + 7*w^2 - 8]', '[181, 181, -w^3 + w^2 + 4*w - 2]', '[181, 181, w^2 - 5]', '[189, 21, 2*w^3 - 4*w^2 - 5*w + 3]', '[189, 63, -w^3 + 2*w^2 + 3*w - 6]', '[197, 197, w^3 - 2*w^2 - w - 2]', '[201, 201, w^3 - 5*w - 6]', '[201, 201, -w^3 + 4*w^2 - 2*w - 6]', '[203, 203, w^3 - 3*w^2 - 4*w + 5]', '[208, 26, 2*w^3 - 6*w^2 - 2*w + 10]', '[208, 26, 2*w^3 - 6*w^2 - 2*w + 4]', '[211, 211, 2*w^3 - 3*w^2 - 9*w + 1]', '[211, 211, w^3 - 7*w - 2]', '[213, 213, -w^3 + 2*w^2 - w - 3]', '[217, 217, -2*w^3 + 3*w^2 + 6*w - 1]', '[221, 221, w^3 - 2*w^2 - 1]', '[221, 221, -2*w^3 + 5*w^2 + 4*w - 2]', '[227, 227, -w^2 + w + 7]', '[229, 229, w^3 - 2*w^2 - 5*w + 4]', '[229, 229, w^3 - w^2 - 5*w - 5]', '[229, 229, -2*w^3 + 6*w^2 + 5*w - 8]', '[229, 229, -w^3 + 3*w^2 + 4*w - 8]', '[233, 233, -w^3 + 5*w^2 - 3*w - 7]', '[237, 237, w^3 - 3*w^2 - 4*w]', '[239, 239, w^2 - 4*w - 1]', '[241, 241, -w^3 + 3*w^2 - 2*w - 4]', '[243, 9, 3*w]', '[243, 9, w^3 - 2*w^2 - w - 3]', '[243, 27, -2*w^3 + 3*w^2 + 6*w]', '[247, 247, -w^3 + w^2 + 5*w - 2]', '[247, 247, 2*w^3 - 4*w^2 - 7*w + 1]', '[249, 249, 2*w^3 - 3*w^2 - 4*w]', '[251, 251, -w^3 + 2*w^2 + 5*w - 2]', '[256, 4, 4]', '[261, 87, -2*w^3 + 6*w^2 + w - 8]', '[261, 87, -6*w^3 + 16*w^2 + 12*w - 27]', '[263, 263, -w^3 + 4*w^2 - w - 10]', '[263, 263, 3*w^3 - 7*w^2 - 7*w + 5]', '[267, 267, w^3 - 4*w^2 - 2*w + 9]', '[271, 271, -w^2 + 7]', '[272, 34, -2*w^3 + 4*w^2 + 4*w - 4]', '[273, 273, w^3 - 2*w^2 - 5*w + 3]', '[273, 273, -3*w^2 + 5*w + 9]', '[279, 93, -w^3 + w^2 + 3*w + 4]', '[279, 93, 2*w^3 - 7*w^2 - 3*w + 15]', '[283, 283, 3*w - 1]', '[289, 289, 3*w^3 - 7*w^2 - 8*w + 7]', '[293, 293, w - 5]', '[303, 303, w^2 - 5*w - 3]', '[304, 38, -2*w^3 + 4*w^2 + 4*w - 2]', '[309, 309, 3*w^3 - 8*w^2 - w + 6]', '[311, 311, -w - 4]', '[311, 311, w^3 - 5*w - 1]', '[313, 313, 2*w^3 - 6*w^2 - 2*w + 11]', '[313, 313, 2*w^3 - 5*w^2 - 5*w + 4]', '[317, 317, 2*w^2 - 3*w - 10]', '[317, 317, -w^3 + 3*w^2 - w - 5]', '[317, 317, -2*w^3 + 4*w^2 + 3*w - 2]', '[317, 317, -3*w^3 + 8*w^2 + 4*w - 4]', '[321, 321, 3*w^2 - 4*w - 3]', '[321, 321, 2*w^3 - 3*w^2 - 5*w]', '[323, 323, w^2 + 2]', '[327, 327, -2*w^3 + 4*w^2 + 4*w - 3]', '[327, 327, w^3 - 2*w - 3]', '[329, 329, -w^3 + 3*w^2 + w + 1]', '[336, 42, -2*w^2 + 4*w]', '[337, 337, -w^3 + 4*w^2 - 4*w - 1]', '[339, 339, w^3 - 4*w^2 - 2*w + 3]', '[339, 339, 2*w^3 - 2*w^2 - 5*w]', '[343, 7, 2*w^3 - 7*w^2 - w + 11]', '[343, 343, -w^3 + w^2 + w + 2]', '[347, 347, -w^3 + w^2 + 5*w - 4]', '[351, 39, -w^3 + 5*w^2 - 2*w - 6]', '[351, 39, -2*w^3 + 7*w^2 - w - 9]', '[351, 117, w^3 - 2*w^2 - 3*w - 3]', '[351, 117, -2*w^3 + 4*w^2 + 3*w - 3]', '[353, 353, 5*w^3 - 13*w^2 - 10*w + 19]', '[353, 353, -2*w^3 + 6*w^2 + 4*w - 7]', '[357, 357, -2*w^3 + 4*w^2 + 7*w]', '[361, 361, -w^3 + 3*w^2 + 2*w + 1]', '[371, 371, -w^3 + w^2 + 3*w + 5]', '[377, 377, 3*w - 5]', '[377, 377, -6*w^3 + 15*w^2 + 15*w - 26]', '[379, 379, 2*w^3 - 6*w^2 - 5*w + 13]', '[379, 379, -w^3 + 5*w^2 - 2*w - 10]', '[381, 381, w^3 - 5*w^2 + w + 6]', '[383, 383, w^3 - w^2 - 6*w + 4]', '[383, 383, w^2 + w - 5]', '[389, 389, 3*w^2 - 5*w - 8]', '[389, 389, -2*w^3 + 7*w^2 + w - 10]', '[397, 397, -2*w^3 + 7*w^2 + 2*w - 10]', '[399, 399, -2*w^3 + 3*w^2 + 7*w - 3]', '[401, 401, 2*w^2 - w - 7]', '[401, 401, -3*w^3 + 6*w^2 + 9*w - 8]', '[403, 403, 4*w^3 - 10*w^2 - 10*w + 13]', '[403, 403, w^3 - 4*w^2 + 2*w + 7]', '[409, 409, 3*w^2 - 5*w - 7]', '[411, 411, -w^3 + w^2 + 2*w + 3]', '[411, 411, -w^2 + 2*w - 3]', '[421, 421, 3*w^3 - 9*w^2 - 4*w + 17]', '[423, 141, -3*w^3 + 8*w^2 + 6*w - 9]', '[423, 141, -4*w^3 + 12*w^2 + 2*w - 7]', '[432, 6, -2*w^3 + 4*w^2 + 8*w - 6]', '[432, 18, 2*w^2 - 6]', '[441, 147, -w^2 + 2*w + 7]', '[441, 147, -3*w^3 + 7*w^2 + 6*w - 9]', '[449, 449, 2*w^3 - 2*w^2 - 11*w - 2]', '[449, 449, 3*w^3 - 7*w^2 - 6*w + 5]', '[453, 453, 3*w^2 - 4*w - 9]', '[453, 453, -3*w^2 + 2*w + 6]', '[457, 457, w^3 - 2*w^2 - 2]', '[457, 457, -2*w^3 + 6*w^2 + 3*w - 5]', '[459, 51, 2*w^3 - 7*w^2 - 2*w + 12]', '[459, 153, -3*w^3 + 8*w^2 + 3*w - 6]', '[461, 461, 4*w^3 - 8*w^2 - 12*w + 7]', '[461, 461, -4*w^3 + 10*w^2 + 7*w - 14]', '[461, 461, 4*w^3 - 10*w^2 - 8*w + 11]', '[461, 461, 2*w^3 - 7*w^2 - 2*w + 7]', '[464, 58, -4*w^3 + 10*w^2 + 8*w - 14]', '[467, 467, -w^3 + 5*w^2 - 7]', '[469, 469, -w^3 + 7*w + 1]', '[469, 469, -3*w^3 + 5*w^2 + 12*w + 1]', '[471, 471, 2*w^3 - 5*w^2 - 5*w + 3]', '[477, 159, -5*w^3 + 12*w^2 + 12*w - 15]', '[477, 159, -4*w^3 + 10*w^2 + 6*w - 5]', '[479, 479, w^3 - 6*w - 1]', '[479, 479, -w^3 + 2*w^2 + 2*w + 4]', '[487, 487, 2*w^3 - 7*w^2 - 2*w + 11]', '[489, 489, -2*w^3 + 3*w^2 + 8*w - 3]', '[489, 489, -w^3 + 3*w^2 - w - 6]', '[491, 491, 3*w^2 - 6*w - 10]', '[493, 493, 3*w^3 - 7*w^2 - 7*w + 14]', '[496, 62, 2*w^3 - 4*w^2 - 8*w + 4]', '[497, 497, -w^3 - w^2 + 5*w + 2]', '[499, 499, -2*w^3 + 6*w^2 + 5*w - 14]', '[501, 501, 3*w^2 - 7*w - 3]', '[501, 501, w^3 + 2*w^2 - 7*w - 6]', '[507, 39, -2*w^3 + 6*w^2 + w - 9]', '[507, 39, 3*w^3 - 6*w^2 - 8*w + 6]', '[507, 507, -2*w^3 + 5*w^2 + 7*w - 9]', '[507, 507, -3*w^2 + 4*w + 6]', '[509, 509, w^3 + w^2 - 9*w - 4]', '[513, 57, w^3 - 5*w^2 + 2*w + 9]', '[513, 171, -w^3 + 2*w^2 + 6*w - 6]', '[519, 519, 3*w^3 - 8*w^2 - 2*w + 6]', '[521, 521, 3*w^2 - 7*w - 8]', '[521, 521, 2*w^3 - 7*w^2 - 3*w + 16]', '[523, 523, -2*w^3 + 4*w^2 + 8*w - 5]', '[527, 527, -w^3 + 5*w^2 - 10]', '[541, 541, w^3 + w^2 - 8*w - 4]', '[543, 543, -w^3 + w + 3]', '[543, 543, w^3 - 5*w]', '[547, 547, -2*w^3 + 3*w^2 + 6*w - 5]', '[551, 551, w^3 - 2*w^2 - 3*w + 7]', '[553, 553, -2*w^3 + w^2 + 7*w + 5]', '[563, 563, 2*w^3 - 8*w^2 + w + 8]', '[567, 21, 3*w^2 - 3*w - 6]', '[567, 63, -3*w^3 + 7*w^2 + 7*w - 4]', '[567, 63, 2*w^3 - 7*w^2 + 12]', '[569, 569, -3*w^3 + 9*w^2 + w - 10]', '[569, 569, -w^3 + w^2 + 7*w - 2]', '[569, 569, -3*w^3 + 8*w^2 + 7*w - 17]', '[569, 569, -4*w^3 + 11*w^2 + 6*w - 11]', '[571, 571, 5*w^3 - 12*w^2 - 12*w + 16]', '[577, 577, -w^3 + 5*w^2 - w - 7]', '[577, 577, -2*w^3 + 5*w^2 + 5*w - 2]', '[581, 581, -w^3 + 3*w^2 + 4*w + 2]', '[589, 589, 3*w^2 - 4*w - 8]', '[591, 591, 3*w^2 - 5*w - 3]', '[593, 593, 3*w^3 - 7*w^2 - 6*w + 8]', '[593, 593, -3*w^2 + 3*w + 11]', '[601, 601, -2*w^3 + 5*w^2 + 7*w - 8]', '[601, 601, w^3 - 3*w^2 - 3*w + 11]', '[603, 201, 2*w^3 - 8*w^2 + 21]', '[603, 201, -2*w^3 + 2*w^2 + 9*w + 8]', '[603, 201, 3*w^3 - 10*w^2 - 3*w + 18]', '[603, 201, 2*w^3 - 9*w^2 + 5*w + 11]', '[607, 607, -w^3 + 3*w^2 + 4*w - 10]', '[609, 609, 4*w^3 - 11*w^2 - 5*w + 15]', '[611, 611, 3*w^3 - 12*w^2 + 6*w + 8]', '[611, 611, 3*w - 7]', '[613, 613, 3*w^2 - 8*w - 4]', '[613, 613, -3*w^3 + 5*w^2 + 12*w - 5]', '[619, 619, 2*w^3 - 7*w^2 - 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12*w + 1]', '[1469, 1469, -w^3 + 5*w^2 + w - 13]', '[1469, 1469, -w^3 - w^2 + 7*w + 2]', '[1469, 1469, -2*w^3 + 5*w^2 + 5*w - 13]', '[1469, 1469, w^3 - 4*w^2 + 5*w + 2]', '[1473, 1473, 3*w^3 - 6*w^2 - 10*w]', '[1477, 1477, -4*w^3 + 6*w^2 + 14*w + 1]', '[1477, 1477, -3*w^3 + 6*w^2 + 10*w + 1]', '[1479, 1479, -4*w^3 + 12*w^2 + 5*w - 21]', '[1487, 1487, w^3 - 4*w^2 + 2*w - 2]', '[1488, 186, -2*w - 6]', '[1489, 1489, 2*w^3 - 3*w^2 - 5*w - 5]', '[1491, 1491, -2*w^3 + 9*w^2 - 2*w - 9]', '[1497, 1497, 2*w^3 - 3*w^2 - 8*w + 6]', '[1499, 1499, w^3 + w^2 - 6*w - 1]', '[1499, 1499, 3*w^2 - 6*w - 1]', '[1501, 1501, 2*w^3 - 11*w - 5]', '[1503, 501, -2*w^2 + 6*w + 9]', '[1503, 501, -4*w^2 + 11*w + 10]', '[1503, 501, 2*w^3 - 11*w^2 + 12*w + 10]', '[1503, 501, -4*w^3 + 8*w^2 + 15*w - 12]', '[1511, 1511, -5*w^3 + 12*w^2 + 11*w - 13]', '[1513, 1513, 6*w^3 - 16*w^2 - 11*w + 28]', '[1519, 1519, -3*w^3 + 8*w^2 + 7*w - 8]', '[1521, 39, 8*w^3 - 23*w^2 - 15*w + 39]', '[1521, 39, -4*w^3 + 9*w^2 + 11*w - 7]', '[1521, 39, 2*w^3 - 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18]', '[1559, 1559, 4*w^3 - 7*w^2 - 15*w + 7]', '[1563, 1563, 3*w^3 - 7*w^2 - 8*w]', '[1563, 1563, -3*w^3 + 5*w^2 + 10*w - 6]', '[1567, 1567, -3*w^3 + 7*w^2 + 9*w - 5]', '[1567, 1567, -w^3 + 7*w - 2]', '[1569, 1569, w + 6]', '[1571, 1571, w^3 - w^2 - 2*w - 8]', '[1571, 1571, -w^3 + 3*w^2 + 5*w - 11]', '[1577, 1577, 2*w^2 - 8*w - 5]', '[1579, 1579, -2*w^3 + 3*w^2 + 8*w - 8]', '[1581, 1581, -w^3 - 2*w^2 + 8*w + 15]', '[1589, 1589, 4*w^2 - 6*w - 11]', '[1603, 1603, -2*w^3 - w^2 + 12*w + 10]', '[1603, 1603, 3*w^3 - 3*w^2 - 8*w + 4]', '[1603, 1603, -3*w^3 + 6*w^2 + 6*w - 5]', '[1603, 1603, 3*w^3 - 7*w^2 - 3*w + 10]', '[1609, 1609, 5*w^3 - 11*w^2 - 16*w + 14]', '[1613, 1613, 2*w^3 - 2*w^2 - 7*w - 7]', '[1613, 1613, -4*w^3 + 13*w^2 - w - 13]', '[1616, 202, 2*w^3 - 4*w^2 - 6*w - 4]', '[1619, 1619, -3*w^3 + 7*w^2 + 10*w - 5]', '[1619, 1619, w^3 - w^2 - 8*w - 1]', '[1621, 1621, -2*w^3 + 6*w^2 + 6*w - 5]', '[1623, 1623, 3*w^3 - 4*w^2 - 7*w - 3]', '[1627, 1627, -w^3 + 6*w^2 - 5*w - 14]', '[1629, 543, -3*w^3 + 7*w^2 + 6*w - 15]', '[1629, 543, w^3 - 4*w^2 - 1]', '[1629, 543, -2*w^2 + 7*w + 2]', '[1629, 543, -4*w^3 + 10*w^2 + 12*w - 15]', '[1631, 1631, -2*w^3 + 5*w^2 + 4*w + 2]', '[1637, 1637, w^2 - 6*w - 2]', '[1637, 1637, -w^3 + 3*w^2 + 6*w - 7]', '[1641, 1641, -w^3 - 2*w^2 + w + 6]', '[1643, 1643, -w^3 + 2*w^2 + 2*w - 8]', '[1648, 206, -4*w^3 + 8*w^2 + 10*w - 2]', '[1651, 1651, -3*w^3 + 6*w^2 + 11*w - 13]', '[1651, 1651, 3*w^3 - 9*w^2 + 2*w + 2]', '[1653, 1653, -9*w^3 + 25*w^2 + 20*w - 45]', '[1657, 1657, -w^3 + 3*w^2 + 2*w - 11]', '[1659, 1659, 3*w^3 - 6*w^2 - 5*w + 3]', '[1663, 1663, -2*w^3 + 8*w^2 - 11]', '[1663, 1663, -3*w^3 + 6*w^2 + 6*w - 4]', '[1667, 1667, -5*w^3 + 13*w^2 + 12*w - 26]', '[1669, 1669, -2*w^3 + 3*w^2 + 8*w - 7]', '[1669, 1669, 5*w^3 - 8*w^2 - 16*w + 5]', '[1673, 1673, -3*w^3 + 5*w^2 + 6*w - 1]', '[1681, 41, -6*w^3 + 17*w^2 + 10*w - 29]', '[1681, 41, 5*w^3 - 11*w^2 - 13*w + 11]', '[1687, 1687, -3*w^3 + 3*w^2 + 5*w + 2]', '[1689, 1689, -4*w^3 + 9*w^2 + 2*w - 6]', '[1691, 1691, 3*w^3 - 9*w^2 - 3*w + 17]', '[1693, 1693, -w^3 + 2*w^2 + w - 8]', '[1697, 1697, -4*w^3 + 9*w^2 + 9*w - 10]', '[1697, 1697, -w^3 + 6*w^2 - 3*w - 13]', '[1699, 1699, 4*w^2 - 5*w - 8]', '[1701, 63, -3*w^2 + 6*w]', '[1701, 63, w^3 - 5*w^2 + 5*w + 9]', '[1701, 189, -3*w^3 + 8*w^2 + 6*w - 6]', '[1707, 1707, 3*w^3 - 11*w^2 - w + 9]', '[1707, 1707, 3*w^3 - 10*w^2 + w + 12]', '[1707, 1707, -w^3 + 3*w^2 + w + 3]', '[1707, 1707, 2*w^3 - 5*w^2 - 8*w + 9]', '[1709, 1709, -w^2 - 4]', '[1712, 214, 2*w^3 - 4*w^2 - 2*w - 2]', '[1712, 214, 4*w^2 - 6*w - 10]', '[1713, 1713, -2*w^3 + 8*w^2 + w - 15]', '[1717, 1717, 3*w^3 - 5*w^2 - 7*w + 1]', '[1729, 1729, 4*w^3 - 9*w^2 - 9*w + 8]', '[1729, 1729, 2*w^3 - 6*w^2 - 5*w + 4]', '[1731, 1731, w^3 - 3*w^2 + 4*w + 6]', '[1731, 1731, 3*w^3 - 5*w^2 - 4*w + 3]', '[1741, 1741, 3*w^3 - 12*w^2 + 4*w + 14]', '[1743, 1743, 3*w^3 - 10*w^2 - 2*w + 6]', '[1744, 218, 2*w^3 - 8*w^2 + 14]', '[1744, 218, -2*w^3 + 2*w^2 + 8*w - 2]', '[1747, 1747, -3*w^3 + 6*w^2 + 5*w - 5]', '[1751, 1751, -w^3 + 3*w^2 - 5*w + 2]', '[1753, 1753, w^3 - 2*w^2 + w - 4]', '[1757, 1757, 3*w^3 - 4*w^2 - 8*w + 1]', '[1767, 1767, 4*w^3 - 13*w^2 - 4*w + 27]', '[1773, 591, -2*w^3 + 4*w^2 + 9*w - 6]', '[1773, 591, 2*w^3 - 9*w^2 + 8*w + 8]', '[1777, 1777, w^3 + w^2 - 9*w - 2]', '[1777, 1777, 3*w^2 - 2*w - 11]', '[1777, 1777, -3*w^3 + 10*w^2 - 14]', '[1777, 1777, -2*w^2 + 2*w + 13]', '[1779, 1779, -w^3 + 6*w^2 - w - 9]', '[1779, 1779, -3*w^3 + 3*w^2 + 11*w]', '[1781, 1781, w^3 - 4*w^2 - w - 1]', '[1781, 1781, -2*w^3 + 5*w^2 + 8*w - 7]', '[1781, 1781, -2*w^3 + 9*w^2 - 4*w - 11]', '[1781, 1781, -5*w^3 + 12*w^2 + 11*w - 14]', '[1789, 1789, 4*w^2 - 5*w - 11]', '[1792, 28, 4*w^2 - 4*w - 8]', '[1803, 1803, w^3 - w^2 - 2*w + 6]', '[1803, 1803, 2*w^3 - 5*w^2 - 8*w]', '[1808, 226, -2*w^3 + 6*w^2 - 10]', '[1808, 226, 4*w^2 - 4*w - 10]', '[1809, 201, -w^3 + 8*w^2 - 5*w - 27]', '[1809, 201, -4*w^3 + 14*w^2 + w - 24]', '[1809, 603, -4*w^3 + 8*w^2 + 15*w - 6]', '[1809, 603, -4*w^3 + 9*w^2 + 9*w - 9]', '[1811, 1811, 4*w^3 - 10*w^2 - 8*w + 7]', '[1819, 1819, 2*w^3 - 7*w^2 - 3*w + 5]', '[1819, 1819, w^3 - 2*w^2 - 7*w + 1]', '[1821, 1821, w^3 - 7*w + 3]', '[1823, 1823, w^3 - 7*w^2 + 4*w + 8]', '[1823, 1823, w^3 + w^2 - 8*w - 2]', '[1823, 1823, -2*w^3 + 4*w^2 + 9*w - 5]', '[1823, 1823, -3*w^3 + 6*w^2 + 5*w - 4]', '[1827, 609, 9*w^3 - 23*w^2 - 23*w + 38]', '[1827, 609, 4*w^3 - 13*w^2 - 9*w + 24]', '[1831, 1831, 3*w^3 - 11*w^2 - 2*w + 22]', '[1833, 1833, 3*w^2 - 7*w]', '[1833, 1833, w^3 - 11*w + 6]', '[1839, 1839, -w^3 + 4*w + 9]', '[1839, 1839, 3*w^3 - 8*w^2 - 4*w]', '[1841, 1841, -2*w^3 + w^2 + 12*w + 2]', '[1841, 1841, -w^3 - 2*w^2 + 6*w + 11]', '[1847, 1847, -4*w^3 + 11*w^2 + 8*w - 13]', '[1849, 43, w^3 - 7*w + 4]', '[1849, 43, w^2 + 3*w - 7]', '[1853, 1853, -2*w^3 + 5*w^2 + 8*w - 8]', '[1853, 1853, -2*w^3 + 4*w^2 + w - 8]', '[1857, 1857, -3*w^3 + 5*w^2 + 11*w - 6]', '[1869, 1869, -2*w^3 + 4*w^2 + w - 9]', '[1871, 1871, w^3 + w^2 - 10*w - 1]', '[1872, 78, 2*w^3 - 2*w^2 - 12*w]', '[1872, 78, 4*w^3 - 10*w^2 - 6*w + 8]', '[1872, 78, 2*w^3 - 8*w^2 + 12]', '[1872, 78, -2*w^3 + 2*w^2 + 12*w + 2]', '[1873, 1873, -5*w^2 + 8*w + 16]', '[1875, 15, -5*w]', '[1877, 1877, 3*w^3 - 10*w^2 - 4*w + 11]', '[1879, 1879, -2*w^3 + 7*w^2 - 2*w - 10]', '[1879, 1879, 2*w^3 - w^2 - 10*w - 2]', '[1889, 1889, w^3 - w^2 - 4*w - 8]', '[1897, 1897, -w^3 + 5*w^2 - 4*w - 11]', '[1899, 633, 2*w^3 - 9*w^2 + 24]', '[1899, 633, -3*w^3 + 4*w^2 + 10*w + 8]', '[1899, 633, -4*w^3 + 9*w^2 + 8*w + 2]', '[1899, 633, -2*w^2 + 3*w + 12]', '[1901, 1901, -3*w^3 + 9*w^2 + 4*w - 7]', '[1904, 238, -4*w^3 + 12*w^2 + 6*w - 14]', '[1911, 1911, -3*w^3 + 5*w^2 + 7*w - 3]', '[1911, 1911, -5*w + 3]', '[1913, 1913, -w^2 + 6*w - 2]', '[1913, 1913, -4*w^3 + 11*w^2 + 9*w - 14]', '[1917, 213, -2*w^3 + 7*w^2 - w - 12]', '[1917, 639, -3*w^3 + 4*w^2 + 6*w - 3]', '[1919, 1919, 4*w^3 - 7*w^2 - 10*w - 1]', '[1921, 1921, w^3 - 4*w^2 - 6*w + 4]', '[1921, 1921, 2*w^3 - 2*w^2 - 7*w + 4]', '[1929, 1929, -4*w^2 + 4*w + 9]', '[1929, 1929, w^3 - 6*w^2 - 4*w + 6]', '[1929, 1929, -w^3 + w^2 + 8*w]', '[1929, 1929, 2*w^3 - 6*w^2 - 5*w + 3]', '[1931, 1931, 3*w^3 - 4*w^2 - 13*w + 2]', '[1933, 1933, w^3 + w^2 - 11*w - 10]', '[1933, 1933, -5*w^3 + 13*w^2 + 12*w - 17]', '[1943, 1943, 3*w^3 - 5*w^2 - 7*w + 2]', '[1943, 1943, -w^3 + 6*w^2 - 2*w - 13]', '[1953, 651, -7*w^3 + 15*w^2 + 20*w - 16]', '[1953, 651, -2*w^3 + 6*w^2 - 15]', '[1957, 1957, -3*w^3 + 10*w^2 - 5*w - 5]', '[1959, 1959, 4*w^2 - 5*w - 9]', '[1959, 1959, w^3 - 6*w^2 + 2*w + 9]', '[1959, 1959, -3*w^3 + 9*w^2 + 5*w - 9]', '[1959, 1959, 3*w^3 - 5*w^2 - 11*w - 6]', '[1963, 1963, w^3 - w^2 - w - 5]', '[1963, 1963, -5*w^3 + 11*w^2 + 14*w - 17]', '[1963, 1963, -w^3 + 4*w + 10]', '[1963, 1963, -w^3 + 2*w^2 + 4*w + 5]', '[1979, 1979, -2*w^3 + 6*w^2 - 17]', '[1981, 1981, 3*w^3 - 4*w^2 - 5*w + 2]', '[1987, 1987, -2*w^3 + 3*w^2 + 9*w - 8]', '[1989, 663, -4*w^2 + 5*w + 10]', '[1989, 663, -w^3 + 3*w^2 + 6*w - 6]', '[1989, 663, -w^3 + 6*w^2 - 3*w - 12]', '[1989, 663, -w^2 + 2*w - 5]', '[1993, 1993, 5*w^3 - 8*w^2 - 19*w + 4]', '[1993, 1993, -3*w^3 + 9*w^2 + 7*w - 11]', '[1997, 1997, -w^3 + 4*w - 5]', '[1999, 1999, -5*w^3 + 14*w^2 + 4*w - 11]', '[1999, 1999, 2*w^3 - 2*w^2 - 12*w - 1]', '[2003, 2003, -2*w^3 + 8*w^2 + w - 13]', '[2003, 2003, 5*w^3 - 14*w^2 - 4*w + 13]', '[2011, 2011, -4*w^3 + 9*w^2 + 8*w - 5]', '[2023, 2023, -3*w^3 + 4*w^2 + 12*w - 2]', '[2027, 2027, w^3 - w^2 - 8*w + 2]', '[2029, 2029, -3*w^3 + 5*w^2 + 9*w - 8]', '[2029, 2029, 4*w^3 - 9*w^2 - 8*w + 11]', '[2031, 2031, -w^2 + 2*w + 9]', '[2032, 254, -4*w^3 + 10*w^2 + 6*w - 10]', '[2033, 2033, w^3 - 10*w - 4]', '[2033, 2033, 3*w^3 - 9*w^2 - 4*w + 4]', '[2039, 2039, 3*w^3 - 9*w^2 - 2*w + 14]', '[2039, 2039, w^2 - 6*w - 1]', '[2041, 2041, -3*w^3 + 9*w^2 + 6*w - 22]', '[2041, 2041, -3*w^2 + 9*w + 2]', '[2043, 681, w^3 + 2*w^2 - 12*w - 4]', '[2043, 681, -w^3 + 3*w^2 + 3*w + 3]', '[2049, 2049, -w^3 + 3*w^2 + 2*w + 3]', '[2049, 2049, 2*w^2 + 2*w + 3]', '[2051, 2051, w^3 - 6*w^2 + 3*w + 10]', '[2059, 2059, -w^3 + 4*w^2 + 4*w - 11]', '[2061, 687, -w^3 + w^2 - 3*w]', '[2061, 687, -2*w^3 + 5*w^2 + 2]', '[2061, 687, -4*w^3 + 6*w^2 + 15*w - 3]', '[2061, 687, -2*w^3 - w^2 + 15*w + 8]', '[2061, 687, -w^3 + 6*w^2 - w - 10]', '[2061, 687, -6*w^3 + 19*w^2 + 12*w - 33]', '[2061, 687, w^3 - 4*w^2 + 6*w - 1]', '[2061, 687, -7*w^3 + 19*w^2 + 18*w - 33]', '[2067, 2067, 2*w^3 - 3*w^2 - 11*w + 6]', '[2067, 2067, 5*w^3 - 10*w^2 - 19*w + 18]', '[2069, 2069, -3*w^3 + 7*w^2 + 8*w - 2]', '[2069, 2069, -4*w^3 + 12*w^2 + 5*w - 23]', '[2071, 2071, -w^3 + 3*w^2 - 3*w - 7]', '[2071, 2071, -w^3 + w^2 + 8*w - 1]', '[2077, 2077, w^3 - 3*w^2 - 6*w + 5]', '[2077, 2077, -6*w^3 + 14*w^2 + 16*w - 23]', '[2081, 2081, -5*w^3 + 15*w^2 + 7*w - 28]', '[2083, 2083, -8*w^3 + 21*w^2 + 17*w - 29]', '[2087, 2087, -2*w^3 + 7*w^2 + 4*w - 17]', '[2089, 2089, 2*w^3 - 2*w^2 - 13*w + 7]', '[2089, 2089, -6*w^3 + 15*w^2 + 17*w - 26]', '[2097, 699, -6*w^3 + 17*w^2 + 5*w - 8]', '[2097, 699, -4*w^3 + 10*w^2 + 9*w - 9]', '[2099, 2099, -3*w^3 + 11*w^2 - 17]', '[2103, 2103, 3*w^3 - 5*w^2 - 5*w + 3]', '[2111, 2111, -2*w^3 + 5*w^2 + 4*w - 13]', '[2113, 2113, -w^3 + 6*w^2 - 3*w - 11]', '[2119, 2119, 5*w^3 - 12*w^2 - 10*w + 10]', '[2119, 2119, -w^3 + 3*w^2 + 4]', '[2119, 2119, 8*w^3 - 24*w^2 - 13*w + 43]', '[2119, 2119, 5*w^3 - 12*w^2 - 15*w + 19]', '[2121, 2121, -w^3 + 7*w^2 - 7*w - 6]', '[2128, 266, -4*w^3 + 12*w^2 + 4*w - 10]', '[2131, 2131, -w^3 + 6*w^2 - w - 11]', '[2131, 2131, 3*w^3 - 8*w^2 - 3*w + 13]', '[2133, 237, 4*w^3 - 8*w^2 - 13*w + 3]', '[2133, 711, -w^3 - 3*w^2 + 6*w + 9]', '[2141, 2141, 5*w - 1]', '[2147, 2147, w^3 + w^2 - 7*w - 1]', '[2147, 2147, w^3 - 2*w^2 - 8*w - 1]', '[2151, 717, -2*w^2 + 9]', '[2151, 717, -4*w^3 + 10*w^2 + 3*w - 2]', '[2153, 2153, 2*w^3 - 12*w - 5]', '[2153, 2153, 4*w^3 - 13*w^2 - 4*w + 20]', '[2153, 2153, -4*w^3 + 6*w^2 + 13*w + 2]', '[2153, 2153, -4*w^3 + 7*w^2 + 14*w - 7]', '[2159, 2159, w^3 - w^2 - 4*w + 7]', '[2161, 2161, -3*w^3 + 11*w^2 + 4*w - 16]', '[2161, 2161, 5*w - 2]', '[2163, 2163, 8*w^3 - 27*w^2 + w + 21]', '[2169, 723, -3*w^3 + 5*w^2 + 6*w - 3]', '[2169, 723, -5*w^3 + 12*w^2 + 4*w - 5]', '[2171, 2171, -5*w^3 + 17*w^2 + 2*w - 26]', '[2171, 2171, 2*w^3 - w^2 - 11*w - 2]', '[2171, 2171, -8*w^3 + 23*w^2 + 5*w - 14]', '[2171, 2171, -4*w^3 + 8*w^2 + 7*w + 1]', '[2177, 2177, -w^3 - 3*w^2 + 6*w + 8]', '[2177, 2177, -w^3 + 5*w^2 + 5*w - 1]', '[2181, 2181, w^3 + 2*w^2 - 7*w - 3]', '[2187, 9, -3*w^3 + 6*w^2 + 12*w - 9]', '[2187, 27, -5*w^3 + 13*w^2 + 8*w - 15]', '[2187, 27, 3*w^2 - 9]', '[2187, 81, 4*w^2 - 6*w - 3]', '[2191, 2191, -2*w^3 + w^2 + 9*w + 1]', '[2191, 2191, 3*w^2 - w - 10]', '[2192, 274, 2*w^3 - 4*w^2 - 10*w + 10]', '[2192, 274, -2*w^3 + 2*w^2 + 10*w - 2]', '[2197, 13, 8*w^3 - 20*w^2 - 22*w + 35]', '[2197, 13, -w^3 + 4*w^2 - 4*w + 5]', '[2197, 169, -w^3 + 2*w^2 + 7*w - 2]', '[2197, 169, -3*w^3 + 5*w^2 + 12*w - 7]', '[2197, 2197, 4*w^3 - 10*w^2 - 5*w + 10]', '[2197, 2197, -4*w^3 + 11*w^2 + 5*w - 17]', '[2201, 2201, -w^3 + 4*w^2 - 3*w - 10]', '[2203, 2203, 3*w^3 - 7*w^2 - 9*w + 4]', '[2203, 2203, -2*w^3 + 9*w^2 - 3*w - 16]', '[2203, 2203, 5*w^3 - 16*w^2 - 4*w + 20]', '[2203, 2203, -w^3 + 2*w^2 + 7*w - 5]', '[2207, 2207, -2*w^3 + 2*w^2 + 9*w - 2]', '[2209, 2209, 2*w^2 + w - 8]', '[2217, 2217, -w^3 + 2*w^2 + 2*w + 6]', '[2219, 2219, -2*w^3 + w^2 + 4*w + 4]', '[2219, 2219, -w^3 + w^2 - 4*w - 2]', '[2219, 2219, 5*w^2 - 10*w - 7]', '[2219, 2219, -w^3 - 3*w^2 + 10*w + 14]', '[2223, 741, 2*w^3 - 6*w^2 - w - 1]', '[2223, 741, -3*w^3 + 8*w^2 + 6*w - 18]', '[2223, 741, 2*w^3 - 5*w^2 - 3*w + 13]', '[2223, 741, -w^2 + 6*w]', '[2237, 2237, w^3 - 3*w - 7]', '[2241, 249, 4*w^3 - 8*w^2 - 10*w + 3]', '[2241, 747, w^3 - 2*w^2 + 3*w + 6]', '[2247, 2247, -3*w^3 + 10*w^2 - 5*w - 6]', '[2247, 2247, 3*w^3 - 9*w^2 - 4*w + 6]', '[2249, 2249, 5*w^3 - 19*w^2 + 8*w + 11]', '[2249, 2249, -w^3 + 2*w^2 + 8*w - 13]', '[2256, 282, 4*w^3 - 10*w^2 - 4*w + 6]', '[2259, 753, 2*w^3 - 3*w^2 - 4*w - 4]', '[2259, 753, -2*w^3 + 8*w^2 + 3*w - 18]', '[2261, 2261, -w^3 + 2*w^2 - 2*w + 4]', '[2267, 2267, -4*w^3 + 7*w^2 + 11*w - 10]', '[2271, 2271, -w^3 + 7*w^2 - w - 9]', '[2271, 2271, -4*w^3 + 5*w^2 + 11*w + 3]', '[2273, 2273, -5*w^3 + 12*w^2 + 8*w - 5]', '[2273, 2273, -4*w^3 + 13*w^2 + 4*w - 19]', '[2289, 2289, -4*w^3 + 12*w^2 + 5*w - 12]', '[2289, 2289, -2*w^2 + 2*w - 3]', '[2291, 2291, -3*w^3 + 5*w^2 + 10*w - 7]', '[2293, 2293, 7*w^3 - 17*w^2 - 17*w + 20]', '[2303, 2303, -3*w^3 + 9*w^2 - 2*w - 1]', '[2304, 12, 4*w^3 - 8*w^2 - 12*w + 12]', '[2304, 12, 4*w^2 - 8*w - 4]', '[2309, 2309, -w^3 + 3*w^2 + w - 11]', '[2319, 2319, w^3 - 7*w^2 + 5*w + 9]', '[2329, 2329, 2*w^3 - 6*w^2 + 11]', '[2329, 2329, -4*w^3 + 13*w^2 + 5*w - 19]', '[2333, 2333, 2*w^3 - 9*w^2 + w + 20]', '[2341, 2341, -4*w^3 + 6*w^2 + 13*w - 5]', '[2341, 2341, 3*w^3 - 9*w^2 - 4*w + 5]', '[2349, 87, -6*w^3 + 15*w^2 + 12*w - 21]', '[2349, 261, -5*w^3 + 12*w^2 + 15*w - 18]', '[2349, 261, -3*w^3 + 8*w^2 + 11*w - 17]', '[2351, 2351, -w^3 + 6*w^2 - 2*w - 11]', '[2352, 294, -2*w^3 + 4*w^2 + 4*w + 6]', '[2353, 2353, -5*w^3 + 12*w^2 + 10*w - 16]', '[2353, 2353, -4*w^3 + 10*w^2 + 5*w - 7]', '[2353, 2353, -4*w^3 + 13*w^2 + 5*w - 22]', '[2353, 2353, -2*w^3 + 9*w^2 - 2*w - 10]', '[2357, 2357, 3*w^2 - 4*w - 16]', '[2357, 2357, w^3 - 2*w^2 + w - 5]', '[2359, 2359, -4*w^3 + 10*w^2 + 3*w - 7]', '[2361, 2361, -2*w^2 - 4*w + 3]', '[2361, 2361, -w^3 - w^2 + 2*w - 3]', '[2361, 2361, 2*w^3 - 2*w^2 - 8*w + 3]', '[2361, 2361, 2*w^3 - 6*w^2 + w + 9]', '[2367, 789, -4*w^3 + 7*w^2 + 12*w - 2]', '[2367, 789, -8*w^3 + 18*w^2 + 21*w - 24]', '[2367, 789, 2*w^3 - 11*w^2 + 9*w + 16]', '[2367, 789, 4*w^3 - 14*w^2 - 3*w + 27]', '[2371, 2371, -4*w^3 + 12*w^2 + 4*w - 19]', '[2373, 2373, 4*w^3 - 10*w^2 - 4*w + 9]', '[2373, 2373, 2*w^3 - 7*w^2 - 4*w + 6]', '[2383, 2383, -3*w^3 + 8*w^2 + 6*w - 4]', '[2397, 2397, -5*w^3 + 12*w^2 + 10*w - 6]', '[2401, 7, 7]', '[2401, 2401, -5*w^3 + 11*w^2 + 12*w - 14]', '[2403, 267, w^3 - 2*w^2 - 7*w + 3]', '[2403, 801, 7*w^3 - 19*w^2 - 18*w + 30]', '[2407, 2407, -w^3 + 2*w^2 + 7*w - 4]', '[2413, 2413, -w^3 + 4*w^2 - w + 2]', '[2416, 302, 6*w^3 - 12*w^2 - 18*w + 10]', '[2416, 302, -4*w^3 + 8*w^2 + 10*w - 8]', '[2423, 2423, 4*w^3 - 8*w^2 - 14*w + 13]', '[2423, 2423, -4*w^3 + 11*w^2 + 10*w - 14]', '[2429, 2429, 2*w^3 - 8*w^2 - 3*w + 8]', '[2437, 2437, 2*w^3 - 4*w^2 - 5*w - 5]', '[2439, 813, -2*w^3 + 3*w^2 + 3*w + 3]', '[2439, 813, 4*w^2 - 11*w - 4]', '[2448, 102, -2*w^3 + 6*w^2 - 2*w - 8]', '[2448, 102, 2*w^3 - 2*w^2 - 6*w - 6]', '[2449, 2449, 4*w^3 - 8*w^2 - 15*w + 11]', '[2457, 273, -2*w^3 + 4*w^2 + 2*w + 3]', '[2457, 273, 4*w^3 - 8*w^2 - 13*w + 12]', '[2457, 819, -4*w^2 + 9*w + 12]', '[2457, 819, 2*w^3 - 5*w^2 - 3]', '[2463, 2463, -4*w^3 + 13*w^2 + 5*w - 15]', '[2463, 2463, -3*w^3 + 4*w^2 + 11*w - 3]', '[2469, 2469, -w^3 + 2*w + 6]', '[2471, 2471, -3*w^3 + 8*w^2 + 10*w - 14]', '[2471, 2471, 2*w^3 - w^2 - 7*w + 2]', '[2481, 2481, -w^3 + 3*w^2 - 5*w - 3]', '[2491, 2491, -2*w^3 + 6*w^2 + 3*w - 16]', '[2499, 2499, -4*w^3 + 9*w^2 + 8*w - 6]', '[2511, 93, 3*w^3 - 6*w^2 - 12*w + 6]', '[2511, 279, 4*w^3 - 9*w^2 - 8*w + 10]', '[2511, 279, 6*w^3 - 10*w^2 - 21*w + 3]', '[2512, 314, -2*w^3 + 8*w^2 - 2*w - 16]', '[2517, 2517, 5*w^2 - 8*w - 6]', '[2523, 2523, 2*w^3 + w^2 - 8*w - 3]', '[2527, 2527, -4*w^3 + 9*w^2 + 12*w - 7]', '[2544, 318, 4*w^3 - 10*w^2 - 8*w + 6]', '[2547, 849, 3*w^3 - 7*w^2 - w + 1]', '[2547, 849, -w^3 + 5*w^2 + 3*w - 12]', '[2549, 2549, 8*w^3 - 21*w^2 - 19*w + 31]', '[2549, 2549, 4*w^2 - 6*w - 19]', '[2557, 2557, -3*w^3 + 6*w^2 + 12*w - 8]', '[2561, 2561, -6*w^3 + 17*w^2 + 3*w - 10]', '[2561, 2561, -3*w^3 + 11*w^2 - 16]', '[2567, 2567, 2*w^3 - 4*w^2 - 3*w + 11]', '[2567, 2567, -2*w^3 + 7*w^2 + w - 19]', '[2573, 2573, -2*w^3 + 2*w^2 + 12*w - 5]', '[2577, 2577, w^2 - 7*w - 3]', '[2581, 2581, 2*w^3 - 7*w^2 - 4*w + 19]', '[2591, 2591, 2*w^3 - 5*w^2 - 2*w - 4]', '[2591, 2591, -2*w^3 + 7*w^2 - w - 13]', '[2593, 2593, -5*w^2 + 7*w + 16]', '[2597, 2597, -w^3 + 3*w^2 - 2*w + 7]', '[2601, 867, 2*w^3 - 6*w^2 - 6*w + 3]', '[2601, 867, w^3 - 7*w^2 + 6*w + 14]', '[2603, 2603, -3*w^3 + 11*w^2 - 14]', '[2603, 2603, w^3 - 5*w^2 + 5*w + 10]', '[2608, 326, 4*w^3 - 10*w^2 - 10*w + 10]', '[2608, 326, 2*w^3 - 8*w^2 - 2*w + 22]', '[2609, 2609, -3*w^3 + 9*w^2 - 11]', '[2609, 2609, -w^3 + 2*w^2 + 5*w - 11]', '[2613, 2613, -w^3 + 7*w^2 - 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3*w - 11]', '[5317, 5317, w^3 - 9*w^2 + 12*w + 10]', '[5319, 591, 2*w^3 - w^2 - 14*w + 3]', '[5319, 1773, w^2 + 6]', '[5321, 5321, 3*w^2 - 11]', '[5321, 5321, -5*w^3 + 10*w^2 + 14*w - 16]', '[5323, 5323, -4*w^3 + 13*w^2 + w - 19]', '[5331, 5331, -2*w^3 + 2*w^2 + 13*w]', '[5331, 5331, 3*w^3 - 5*w^2 - 5*w - 3]', '[5331, 5331, 3*w^3 - 2*w^2 - 11*w]', '[5331, 5331, 4*w^3 - 12*w^2 - 5*w + 9]', '[5333, 5333, 2*w^3 - w^2 - 8*w - 11]', '[5337, 1779, 3*w^3 - 10*w^2 + 2*w + 13]', '[5337, 1779, 7*w^3 - 19*w^2 - 12*w + 33]', '[5337, 1779, 8*w^3 - 19*w^2 - 24*w + 24]', '[5337, 1779, 3*w^3 - 4*w^2 - 16*w - 2]', '[5341, 5341, -4*w^3 + 8*w^2 + 7*w - 7]', '[5341, 5341, w^2 + 3*w - 10]', '[5343, 5343, 5*w^3 - 16*w^2 - 4*w + 27]', '[5343, 5343, 2*w^3 - 9*w^2 + w + 15]', '[5343, 5343, w^3 - 5*w^2 - 2*w + 15]', '[5343, 5343, -6*w^3 + 17*w^2 + 7*w - 24]', '[5347, 5347, -2*w^3 + 3*w^2 + 12*w - 7]', '[5353, 5353, 3*w^3 - 10*w^2 - 6*w + 25]', '[5363, 5363, 6*w^3 - 15*w^2 - 11*w + 16]', '[5367, 5367, 4*w^3 - 5*w^2 - 11*w]', '[5376, 84, -4*w^2 + 8*w]', '[5377, 5377, w^3 - 8*w^2 + 4*w + 10]', '[5381, 5381, -4*w^3 + 11*w^2 + 8*w - 10]', '[5389, 5389, 4*w^2 - w + 1]', '[5389, 5389, 2*w^3 - 8*w + 1]', '[5389, 5389, 6*w^3 - 12*w^2 - 17*w + 11]', '[5389, 5389, -3*w^3 + 7*w^2 + 2*w + 2]', '[5392, 674, -2*w^3 + 8*w^2 - 8*w - 2]', '[5393, 5393, -3*w^3 + 8*w^2 + 8*w - 4]', '[5393, 5393, -w^3 + 7*w^2 - 4*w - 14]', '[5407, 5407, -3*w^3 + 12*w^2 - w - 14]', '[5407, 5407, 2*w^3 - 4*w^2 - 6*w + 13]', '[5409, 1803, -7*w^3 + 21*w^2 + 15*w - 39]', '[5409, 1803, w^3 - w^2 - 7]', '[5409, 1803, -6*w^3 + 11*w^2 + 18*w - 9]', '[5409, 1803, -5*w^3 + 8*w^2 + 15*w + 2]', '[5411, 5411, 2*w^2 - 9*w - 4]', '[5413, 5413, -3*w^3 + 9*w^2 + 7*w - 25]', '[5417, 5417, -w^3 + 5*w^2 - 5*w - 13]', '[5424, 678, 2*w^3 - 8*w^2 - 4*w + 6]', '[5424, 678, 4*w^3 - 4*w^2 - 10*w]', '[5427, 201, 6*w^3 - 9*w^2 - 24*w + 3]', '[5427, 201, 6*w^3 - 15*w^2 - 12*w + 12]', '[5427, 603, 11*w^3 - 16*w^2 - 45*w - 6]', '[5427, 603, 5*w^3 - 12*w^2 - 13*w + 11]', '[5427, 603, 4*w^2 - 11*w + 2]', '[5427, 603, 5*w^3 - 6*w^2 - 24*w]', '[5431, 5431, 4*w^3 - 7*w^2 - 17*w + 4]', '[5433, 5433, -2*w^3 + 8*w^2 - 5*w - 12]', '[5437, 5437, 2*w^3 - 3*w^2 - 2*w - 4]', '[5443, 5443, -w^3 + 7*w^2 - 4*w - 13]', '[5443, 5443, -4*w^3 + 12*w^2 + 4*w - 23]', '[5449, 5449, -4*w^3 + 11*w^2 + 9*w - 1]', '[5449, 5449, -5*w^3 + 11*w^2 + 10*w - 5]', '[5457, 5457, -6*w^3 + 10*w^2 + 22*w + 3]', '[5457, 5457, -w^3 - 2*w^2 + 14*w + 6]', '[5459, 5459, -2*w^3 + 10*w^2 - 5*w - 13]', '[5463, 1821, 2*w^3 - 3*w^2 - 3]', '[5463, 1821, w^3 - 6*w^2 + 10*w + 1]', '[5469, 5469, -5*w^3 + 8*w^2 + 5*w - 3]', '[5469, 5469, 3*w^3 - 4*w^2 - 5*w - 3]', '[5469, 5469, w^2 + w + 6]', '[5469, 5469, -7*w^2 + 5*w + 9]', '[5471, 5471, 5*w^3 - 11*w^2 - 17*w + 14]', '[5473, 5473, 2*w^3 - w^2 - 9*w + 2]', '[5473, 5473, 3*w^3 - 6*w^2 - 13*w + 10]', '[5479, 5479, -w^3 + 8*w^2 - 10*w - 17]', '[5479, 5479, -w^3 + 4*w^2 + 4*w - 14]', '[5481, 609, -5*w^3 + 13*w^2 + 11*w - 27]', '[5481, 1827, 12*w^3 - 31*w^2 - 24*w + 48]', '[5483, 5483, -3*w^2 + 10*w + 4]', '[5488, 14, 4*w^3 - 14*w^2 - 2*w + 22]', '[5488, 686, -2*w^3 + 2*w^2 + 2*w + 4]', '[5491, 5491, w^3 + w^2 - 5*w - 13]', '[5493, 5493, -5*w^3 + 10*w^2 + 13*w - 9]', '[5499, 1833, 6*w^3 - 13*w^2 - 13*w + 4]', '[5499, 1833, 2*w^3 - 7*w^2 + 3*w - 3]', '[5499, 1833, 3*w^3 - 13*w^2 + 11*w + 7]', '[5499, 1833, -7*w^3 + 17*w^2 + 12*w - 9]', '[5503, 5503, w^3 + 3*w^2 - 10*w - 5]', '[5503, 5503, -w^3 + 2*w^2 + w - 10]', '[5507, 5507, -w^3 + 4*w^2 + 5*w - 13]', '[5507, 5507, -4*w^3 + 15*w^2 - 2*w - 20]', '[5509, 5509, 2*w^3 - w^2 - 10*w + 1]', '[5509, 5509, 2*w^3 - 6*w^2 + w + 13]', '[5509, 5509, -6*w^2 + 3*w + 11]', '[5509, 5509, -4*w^3 + 5*w^2 + 8*w - 4]', '[5517, 1839, -w^3 + 3*w + 12]', '[5517, 1839, -8*w^3 + 21*w^2 + 7*w - 5]', '[5517, 1839, 3*w^3 - 5*w^2 - 8*w - 10]', '[5517, 1839, -6*w^3 + 19*w^2 + 9*w - 42]', '[5519, 5519, -w^3 + 5*w^2 - 6*w - 11]', '[5519, 5519, -4*w^3 + 6*w^2 + 15*w - 5]', '[5521, 5521, -3*w^3 + 10*w^2 - 17]', '[5521, 5521, -w^3 + 8*w^2 - 8*w - 14]', '[5523, 5523, -5*w^3 + 18*w^2 - 2*w - 21]', '[5523, 5523, 5*w^3 - 11*w^2 - 11*w + 12]', '[5527, 5527, -4*w^3 + 7*w^2 + 17*w - 7]', '[5531, 5531, -5*w^3 + 16*w^2 + 5*w - 31]', '[5537, 5537, 2*w^2 - 3*w + 5]', '[5537, 5537, -w^3 - w^2 + 2*w + 8]', '[5541, 5541, 3*w^3 - 8*w^2 - w + 12]', '[5547, 129, 2*w^3 - 3*w^2 + w - 3]', '[5547, 129, w^3 + 3*w^2 - 7*w]', '[5552, 694, -2*w^3 + 2*w^2 + 10*w - 8]', '[5557, 5557, 6*w^3 - 15*w^2 - 11*w + 17]', '[5559, 5559, 6*w^3 - 13*w^2 - 17*w + 9]', '[5559, 5559, -w^3 + 7*w + 12]', '[5561, 5561, 6*w^3 - 16*w^2 - 13*w + 20]', '[5561, 5561, -3*w^3 + 9*w^2 - 13]', '[5563, 5563, -7*w^3 + 12*w^2 + 22*w - 11]', '[5563, 5563, -4*w^3 + 6*w^2 + 16*w - 5]', '[5567, 5567, 5*w^3 - 12*w^2 - 8*w + 8]', '[5569, 5569, -3*w^3 + 9*w^2 + 7*w - 8]', '[5571, 1857, -w^3 - w^2 + 3*w + 9]', '[5571, 1857, 3*w^3 - 4*w^2 - 16*w + 4]', '[5581, 5581, 5*w^3 - 10*w^2 - 18*w + 17]', '[5581, 5581, 4*w^3 - 8*w^2 - 16*w + 13]', '[5593, 5593, -w^3 + 7*w^2 - 11*w + 2]', '[5607, 1869, w^3 - 7*w^2 + 3*w + 14]', '[5607, 1869, -2*w^3 + 6*w^2 + 9*w - 12]', '[5609, 5609, -5*w^3 + 14*w^2 + 7*w - 11]', '[5611, 5611, -w^3 + 6*w^2 + w - 16]', '[5611, 5611, -5*w^3 + 9*w^2 + 17*w - 10]', '[5613, 5613, 3*w^3 - 6*w^2 - 4*w - 3]', '[5616, 78, -2*w^3 + 10*w^2 - 4*w - 12]', '[5616, 78, -4*w^3 + 14*w^2 - 2*w - 18]', '[5616, 234, 2*w^3 - 4*w^2 - 6*w - 6]', '[5616, 234, -4*w^3 + 8*w^2 + 6*w - 6]', '[5619, 5619, 3*w^3 - 12*w^2 - w + 15]', '[5623, 5623, -2*w^3 + 10*w^2 - 5*w - 17]', '[5623, 5623, 4*w^3 - 12*w^2 - 3*w + 19]', '[5623, 5623, w^3 + 2*w^2 - 14*w - 5]', '[5623, 5623, -8*w^3 + 20*w^2 + 15*w - 29]', '[5625, 15, -5*w^3 + 10*w^2 + 15*w - 15]', '[5625, 15, -5*w^2 + 10*w + 5]', '[5631, 5631, -4*w^3 + 8*w^2 + 2*w - 9]', '[5637, 5637, 3*w^3 - 10*w^2 - 4*w + 6]', '[5637, 5637, 3*w^3 - 2*w^2 - 8*w - 6]', '[5639, 5639, -w^3 + 8*w^2 - 8*w - 23]', '[5639, 5639, -5*w^3 + 15*w^2 + 9*w - 19]', '[5641, 5641, -w^3 - 2*w^2 + 8*w + 1]', '[5641, 5641, -w^3 + 5*w^2 - 8*w - 4]', '[5647, 5647, 2*w^3 - w^2 - 15*w - 5]', '[5648, 706, 10*w^3 - 26*w^2 - 20*w + 38]', '[5648, 706, -4*w^3 + 12*w^2 + 8*w - 14]', '[5651, 5651, w^3 - w^2 - 10*w - 2]', '[5651, 5651, 5*w^3 - 11*w^2 - 11*w + 8]', '[5653, 5653, -4*w^3 + 7*w^2 + 16*w - 11]', '[5653, 5653, -3*w^3 + 5*w^2 + 12*w - 11]', '[5657, 5657, -8*w^3 + 20*w^2 + 17*w - 26]', '[5659, 5659, -w^3 + 4*w^2 - 5*w - 10]', '[5659, 5659, -5*w^3 + 12*w^2 + 7*w - 13]', '[5667, 5667, w^3 - 11*w - 3]', '[5669, 5669, w^3 - 2*w^2 + 2*w - 7]', '[5669, 5669, -w^3 - 2*w^2 + 9*w + 2]', '[5671, 5671, -4*w^3 + 8*w^2 + 7*w - 5]', '[5671, 5671, -2*w^3 + 6*w^2 - w - 14]', '[5683, 5683, -w^3 + 7*w^2 - 3*w - 13]', '[5683, 5683, w^3 + 2*w^2 - w - 8]', '[5689, 5689, 3*w^2 - 10*w - 2]', '[5689, 5689, 4*w^3 - 7*w^2 - 13*w + 10]', '[5691, 5691, 3*w^3 - 8*w^2 - 8*w + 3]', '[5697, 633, -w^3 + 8*w^2 - 5*w - 30]', '[5697, 633, 2*w^3 - w^2 - 8*w - 15]', '[5697, 1899, -2*w^3 + 3*w^2 + 12*w]', '[5697, 1899, -5*w^3 + 8*w^2 + 18*w - 6]', '[5703, 5703, 3*w^3 - 8*w^2 + 2*w + 9]', '[5712, 714, -4*w^3 + 8*w^2 + 14*w]', '[5713, 5713, 6*w^3 - 17*w^2 - 10*w + 20]', '[5717, 5717, 8*w^3 - 20*w^2 - 22*w + 31]', '[5729, 5729, -4*w^3 + 15*w^2 - 16]', '[5733, 1911, w^3 - 2*w^2 + 3*w - 6]', '[5733, 1911, 4*w^3 - 10*w^2 - 9*w + 5]', '[5733, 1911, 4*w^3 - 13*w^2 - 3*w + 26]', '[5733, 1911, -5*w^3 + 13*w^2 + 9*w - 9]', '[5737, 5737, -2*w^3 + 2*w^2 + 10*w - 7]', '[5739, 5739, -w^3 + 6*w^2 - 2*w]', '[5739, 5739, 3*w^3 - 7*w^2 - 2*w + 12]', '[5741, 5741, -w^3 + 5*w^2 - 9*w + 2]', '[5741, 5741, 3*w^3 - 7*w^2 - 12*w + 8]', '[5747, 5747, -w^3 + 5*w^2 - 5*w - 16]', '[5747, 5747, -w^3 + 4*w^2 + 6*w - 13]', '[5749, 5749, 2*w^3 - 5*w^2 - 4*w - 4]', '[5751, 213, 3*w^3 - 9*w^2 - 6*w + 6]', '[5751, 639, 3*w^3 - 2*w^2 - 15*w - 3]', '[5751, 639, 5*w^2 - 7*w - 2]', '[5757, 5757, -5*w^3 + 10*w^2 + 16*w - 3]', '[5761, 5761, 3*w^3 - 8*w^2 - 9*w + 5]', '[5763, 5763, -5*w^3 + 10*w^2 + 13*w - 6]', '[5763, 5763, -5*w^3 + 9*w^2 + 19*w]', '[5776, 722, -2*w^3 + 6*w^2 + 4*w + 2]', '[5777, 5777, -5*w^3 + 12*w^2 + 8*w - 13]', '[5777, 5777, 6*w^3 - 13*w^2 - 15*w + 10]', '[5779, 5779, -3*w^3 + 4*w^2 + 15*w - 7]', '[5787, 1929, -9*w^3 + 20*w^2 + 21*w - 30]', '[5787, 1929, -4*w^3 + 7*w^2 + 9*w - 5]', '[5787, 1929, -6*w^3 + 13*w^2 + 15*w - 15]', '[5787, 1929, -5*w^3 + 11*w^2 + 9*w - 4]', '[5787, 1929, -w^3 + 6*w^2 - 7*w - 13]', '[5787, 1929, -5*w^3 + 15*w^2 + 6*w - 30]', '[5787, 1929, -w^3 + 4*w^2 + 3*w + 3]', '[5787, 1929, w^3 + 3*w^2 - 14*w - 5]', '[5789, 5789, -6*w^2 + 7*w + 10]', '[5791, 5791, -4*w^3 + 11*w^2 + 2*w - 14]', '[5793, 5793, 2*w^3 - w^2 - 7*w - 9]', '[5799, 5799, 3*w^3 - 7*w^2 - 13*w - 3]', '[5799, 5799, 3*w^3 - 8*w^2 - 2*w + 15]', '[5813, 5813, -6*w^3 + 14*w^2 + 19*w - 23]', '[5827, 5827, 5*w^3 - 5*w^2 - 22*w - 5]', '[5829, 5829, 4*w^3 - 6*w^2 - 10*w + 3]', '[5829, 5829, w^3 + 5*w^2 - 7*w - 9]', '[5831, 119, -3*w^3 + 7*w^2 + 12*w - 13]', '[5831, 5831, w^3 - w^2 - 4*w - 10]', '[5837, 5837, w^3 - 9*w^2 + 13*w + 17]', '[5837, 5837, 7*w^3 - 15*w^2 - 20*w + 11]', '[5837, 5837, -5*w^3 + 14*w^2 + w - 2]', '[5837, 5837, 4*w^3 - 7*w^2 - 17*w + 13]', '[5839, 5839, w^3 - w^2 - 3*w - 11]', '[5839, 5839, 3*w^3 - 4*w^2 - 14*w - 10]', '[5843, 5843, -5*w^3 + 10*w^2 + 12*w - 11]', '[5851, 5851, 4*w^3 - 14*w^2 - 3*w + 13]', '[5857, 5857, 2*w^3 - 6*w^2 - 3*w - 2]', '[5859, 651, w^3 - 8*w^2 + 5*w + 21]', '[5859, 1953, -5*w^3 + 13*w^2 + 15*w - 21]', '[5867, 5867, -w^3 + 5*w^2 + 3*w - 14]', '[5869, 5869, 2*w^3 - 4*w^2 - 11*w + 2]', '[5869, 5869, w^2 - 4*w - 11]', '[5869, 5869, -3*w^3 + 7*w^2 + 5*w - 17]', '[5869, 5869, w^3 + w^2 - 9*w + 4]', '[5871, 5871, -3*w^3 + 5*w^2 + 14*w - 15]', '[5873, 5873, w^3 - 5*w^2 + 8*w + 10]', '[5877, 1959, 4*w^3 - 13*w^2 - 3*w + 27]', '[5877, 1959, w^3 - 7*w^2 + 9*w + 14]', '[5877, 1959, -6*w^3 + 17*w^2 + 9*w - 30]', '[5877, 1959, -3*w^3 + 11*w^2 - 4*w - 14]', '[5877, 1959, 11*w^3 - 28*w^2 - 24*w + 42]', '[5877, 1959, 6*w^3 - 16*w^2 - 7*w + 13]', '[5877, 1959, -7*w^3 + 12*w^2 + 20*w + 8]', '[5877, 1959, -2*w^3 - w^2 + 12*w + 18]', '[5879, 5879, -w^3 + 9*w^2 - 8*w - 25]', '[5879, 5879, 7*w^2 - 6*w - 20]', '[5881, 5881, 4*w^3 - 7*w^2 - 18*w + 1]', '[5887, 5887, w^3 - w^2 + 5*w + 7]', '[5889, 5889, w^3 - 6*w^2 - 2*w + 15]', '[5889, 5889, 5*w^3 - 14*w^2 - 10*w + 30]', '[5889, 5889, -2*w^3 + 9*w^2 + w - 24]', '[5889, 5889, -2*w^3 + 13*w + 3]', '[5893, 5893, -w^3 + 5*w^2 - w - 19]', '[5899, 5899, 5*w^3 - 12*w^2 - 6*w + 17]', '[5903, 5903, -4*w^3 + 12*w^2 + 6*w - 11]', '[5909, 5909, 4*w^3 - 6*w^2 - 10*w + 1]', '[5909, 5909, -w^3 + 3*w^2 - 6*w - 8]', '[5923, 5923, 2*w^2 + w - 11]', '[5923, 5923, w^3 + w^2 - 7*w - 16]', '[5936, 742, -2*w^3 + 2*w^2 + 6*w + 10]', '[5937, 5937, 2*w^3 - 8*w^2 - 11*w + 6]', '[5939, 5939, 4*w^3 - 7*w^2 - 17*w + 5]', '[5941, 5941, -2*w^3 + 4*w^2 + 11*w - 10]', '[5941, 5941, -7*w^3 + 20*w^2 + 2*w - 13]', '[5941, 5941, -4*w^3 + 14*w^2 + 2*w - 19]', '[5941, 5941, 4*w^3 - 14*w^2 + 2*w + 5]', '[5943, 5943, -3*w^3 + 7*w^2 - 2*w]', '[5947, 5947, 2*w^3 - 2*w^2 - 5*w - 7]', '[5947, 5947, -3*w^3 + 4*w^2 + 12*w - 5]', '[5961, 5961, -w^3 + w^2 - 2*w + 6]', '[5963, 5963, -4*w^3 + 11*w^2 + 7*w - 7]', '[5963, 5963, 4*w^3 - 4*w^2 - 17*w - 2]', '[5967, 663, w^3 + w^2 - 10*w + 3]', '[5967, 663, 2*w^3 - 10*w^2 + 7*w + 18]', '[5967, 1989, 5*w^3 - 12*w^2 - 12*w + 9]', '[5967, 1989, 4*w^3 - 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12*w^2 - w + 21]', '[9903, 9903, 2*w^3 - 3*w^2 + 2*w + 9]', '[9903, 9903, 4*w^3 - 6*w^2 - 7*w - 3]', '[9904, 1238, 4*w^3 - 14*w^2 - 6*w + 34]', '[9907, 9907, 2*w^3 - 10*w^2 + 3*w + 19]', '[9907, 9907, 7*w^3 - 22*w^2 - 9*w + 31]', '[9917, 9917, -5*w^3 + 8*w^2 + 14*w - 4]', '[9917, 9917, 2*w^3 - 3*w^2 - w - 5]', '[9919, 9919, -6*w^3 + 12*w^2 + 19*w - 17]', '[9919, 9919, -4*w^3 + 12*w^2 + 3*w - 22]', '[9919, 9919, -8*w^3 + 25*w^2 + 11*w - 44]', '[9919, 9919, -2*w^3 + 6*w^2 + 10*w - 7]', '[9923, 9923, -5*w^3 + 14*w^2 + 11*w - 32]', '[9927, 3309, -3*w^3 + 19*w^2 - 20*w - 25]', '[9927, 3309, -w^3 + 9*w^2 - 9*w - 21]', '[9927, 3309, 6*w^3 - 25*w^2 + 11*w + 22]', '[9927, 3309, 2*w^3 - 10*w^2 + 3*w + 15]', '[9929, 9929, -2*w^3 + 5*w^2 + 4*w - 16]', '[9929, 9929, -4*w^3 + 13*w^2 + 6*w - 13]', '[9937, 9937, w^3 - 8*w^2 + 6*w + 17]', '[9939, 9939, 5*w^3 - 11*w^2 - 7*w + 6]', '[9939, 9939, -2*w^3 + 3*w^2 + 2*w + 6]', '[9939, 9939, 4*w^3 - 13*w^2 - w + 21]', '[9939, 9939, -w^3 + 2*w^2 + 2*w + 9]', '[9941, 9941, 2*w^3 - w^2 - 5*w - 8]', '[9941, 9941, 5*w^3 - 11*w^2 - 7*w + 20]', '[9947, 203, -3*w^3 + 19*w + 8]', '[9947, 9947, -4*w^3 + 14*w^2 + 7*w - 17]', '[9949, 9949, 5*w^3 - 15*w^2 - 5*w + 26]', '[9949, 9949, -w^3 + 8*w^2 - 3*w - 17]', '[9951, 9951, 3*w^3 - 3*w^2 - 7*w - 6]', '[9951, 9951, 5*w^3 - 9*w^2 - 7*w + 9]', '[9957, 9957, 3*w^3 - 7*w^2 - 5*w + 18]', '[9967, 9967, -w^3 - w^2 + 13*w + 2]', '[9967, 9967, -2*w^3 + 10*w^2 - w - 20]', '[9968, 1246, 6*w^3 - 16*w^2 - 16*w + 20]', '[9969, 9969, 6*w^3 - 18*w^2 - 5*w + 12]', '[9969, 9969, -3*w^2 - w + 12]', '[9981, 3327, -5*w^3 + 7*w^2 + 12*w - 6]', '[9981, 3327, -5*w^3 + 8*w^2 + 9*w - 1]', '[9984, 156, -4*w^3 + 12*w^2 + 8*w - 12]', '[9984, 156, -8*w^3 + 20*w^2 + 16*w - 24]', '[9987, 9987, 4*w^3 - 10*w^2 - 11*w + 6]', '[9987, 9987, 4*w^3 - 11*w^2 + w + 12]', '[9987, 9987, -2*w^3 + 6*w^2 + 4*w + 3]', '[9987, 9987, 5*w^2 - 11*w - 18]', '[9993, 9993, 3*w^3 - 10*w^2 + 2*w + 15]', '[10000, 10, -10]'], 'label': '4.4.7053.1', 'narrow_class_no': 1, 'primes': ['[3, 3, w]', '[7, 7, w^2 - w - 2]', '[9, 3, w^2 - 2*w - 1]', '[13, 13, w^3 - 3*w^2 - w + 5]', '[13, 13, w^3 - 3*w^2 - w + 2]', '[16, 2, 2]', '[17, 17, -w^3 + 2*w^2 + 2*w - 2]', '[19, 19, -w^3 + 2*w^2 + 2*w - 1]', '[29, 29, -2*w^3 + 5*w^2 + 4*w - 7]', '[31, 31, w^3 - 2*w^2 - 4*w + 2]', '[47, 47, -w^3 + 4*w^2 - w - 5]', '[53, 53, -w^3 + 4*w^2 - w - 7]', '[67, 67, 2*w^3 - 3*w^2 - 8*w + 1]', '[67, 67, 2*w^3 - 5*w^2 - 4*w + 4]', '[71, 71, w^3 - 3*w^2 - 2*w + 2]', '[79, 79, w^2 - 3*w - 4]', '[83, 83, 2*w^2 - 3*w - 4]', '[89, 89, -3*w^3 + 7*w^2 + 8*w - 11]', '[101, 101, w^3 - 2*w^2 - 3*w - 2]', '[103, 103, -2*w^3 + 4*w^2 + 5*w - 1]', '[107, 107, w^3 - 2*w^2 - w - 1]', '[107, 107, 2*w^2 - 3*w - 5]', '[109, 109, w^3 - 4*w^2 + 7]', '[109, 109, -w^3 + w^2 + 4*w - 1]', '[113, 113, -w^3 + 3*w^2 - 5]', '[113, 113, 2*w^2 - 2*w - 5]', '[127, 127, -2*w^3 + 5*w^2 + 3*w - 5]', '[137, 137, w^3 - 2*w^2 - 5*w + 5]', '[137, 137, -w^3 + w^2 + 5*w - 1]', '[151, 151, 3*w^3 - 6*w^2 - 9*w + 5]', '[151, 151, -2*w^3 + 4*w^2 + 5*w - 4]', '[157, 157, -w^3 + 4*w^2 - w - 8]', '[163, 163, 2*w^3 - 5*w^2 - 5*w + 5]', '[163, 163, w^3 - 4*w^2 - w + 11]', '[167, 167, 2*w^3 - 3*w^2 - 6*w - 1]', '[167, 167, w^3 - 2*w^2 - w - 4]', '[169, 13, 3*w^3 - 8*w^2 - 6*w + 10]', '[173, 173, -2*w^3 + 7*w^2 - 8]', '[181, 181, -w^3 + w^2 + 4*w - 2]', '[181, 181, w^2 - 5]', '[197, 197, w^3 - 2*w^2 - w - 2]', '[211, 211, 2*w^3 - 3*w^2 - 9*w + 1]', '[211, 211, w^3 - 7*w - 2]', '[227, 227, -w^2 + w + 7]', '[229, 229, w^3 - 2*w^2 - 5*w + 4]', '[229, 229, w^3 - w^2 - 5*w - 5]', '[229, 229, -2*w^3 + 6*w^2 + 5*w - 8]', '[229, 229, -w^3 + 3*w^2 + 4*w - 8]', '[233, 233, -w^3 + 5*w^2 - 3*w - 7]', '[239, 239, w^2 - 4*w - 1]', '[241, 241, -w^3 + 3*w^2 - 2*w - 4]', '[251, 251, -w^3 + 2*w^2 + 5*w - 2]', '[263, 263, -w^3 + 4*w^2 - w - 10]', '[263, 263, 3*w^3 - 7*w^2 - 7*w + 5]', '[271, 271, -w^2 + 7]', '[283, 283, 3*w - 1]', '[293, 293, w - 5]', '[311, 311, -w - 4]', '[311, 311, w^3 - 5*w - 1]', '[313, 313, 2*w^3 - 6*w^2 - 2*w + 11]', '[313, 313, 2*w^3 - 5*w^2 - 5*w + 4]', '[317, 317, 2*w^2 - 3*w - 10]', '[317, 317, -w^3 + 3*w^2 - w - 5]', '[317, 317, -2*w^3 + 4*w^2 + 3*w - 2]', '[317, 317, -3*w^3 + 8*w^2 + 4*w - 4]', '[337, 337, -w^3 + 4*w^2 - 4*w - 1]', '[343, 7, 2*w^3 - 7*w^2 - w + 11]', '[347, 347, -w^3 + w^2 + 5*w - 4]', '[353, 353, 5*w^3 - 13*w^2 - 10*w + 19]', '[353, 353, -2*w^3 + 6*w^2 + 4*w - 7]', '[379, 379, 2*w^3 - 6*w^2 - 5*w + 13]', '[379, 379, -w^3 + 5*w^2 - 2*w - 10]', '[383, 383, w^3 - w^2 - 6*w + 4]', '[383, 383, w^2 + w - 5]', '[389, 389, 3*w^2 - 5*w - 8]', '[389, 389, -2*w^3 + 7*w^2 + w - 10]', '[397, 397, -2*w^3 + 7*w^2 + 2*w - 10]', '[401, 401, 2*w^2 - w - 7]', '[401, 401, -3*w^3 + 6*w^2 + 9*w - 8]', '[409, 409, 3*w^2 - 5*w - 7]', '[421, 421, 3*w^3 - 9*w^2 - 4*w + 17]', '[449, 449, 2*w^3 - 2*w^2 - 11*w - 2]', '[449, 449, 3*w^3 - 7*w^2 - 6*w + 5]', '[457, 457, w^3 - 2*w^2 - 2]', '[457, 457, -2*w^3 + 6*w^2 + 3*w - 5]', '[461, 461, 4*w^3 - 8*w^2 - 12*w + 7]', '[461, 461, -4*w^3 + 10*w^2 + 7*w - 14]', '[461, 461, 4*w^3 - 10*w^2 - 8*w + 11]', '[461, 461, 2*w^3 - 7*w^2 - 2*w + 7]', '[467, 467, -w^3 + 5*w^2 - 7]', '[479, 479, w^3 - 6*w - 1]', '[479, 479, -w^3 + 2*w^2 + 2*w + 4]', '[487, 487, 2*w^3 - 7*w^2 - 2*w + 11]', '[491, 491, 3*w^2 - 6*w - 10]', '[499, 499, -2*w^3 + 6*w^2 + 5*w - 14]', '[509, 509, w^3 + w^2 - 9*w - 4]', '[521, 521, 3*w^2 - 7*w - 8]', '[521, 521, 2*w^3 - 7*w^2 - 3*w + 16]', '[523, 523, -2*w^3 + 4*w^2 + 8*w - 5]', '[541, 541, w^3 + w^2 - 8*w - 4]', '[547, 547, -2*w^3 + 3*w^2 + 6*w - 5]', '[563, 563, 2*w^3 - 8*w^2 + w + 8]', '[569, 569, -3*w^3 + 9*w^2 + w - 10]', '[569, 569, -w^3 + w^2 + 7*w - 2]', '[569, 569, -3*w^3 + 8*w^2 + 7*w - 17]', '[569, 569, -4*w^3 + 11*w^2 + 6*w - 11]', '[571, 571, 5*w^3 - 12*w^2 - 12*w + 16]', '[577, 577, -w^3 + 5*w^2 - w - 7]', '[577, 577, -2*w^3 + 5*w^2 + 5*w - 2]', '[593, 593, 3*w^3 - 7*w^2 - 6*w + 8]', '[593, 593, -3*w^2 + 3*w + 11]', '[601, 601, -2*w^3 + 5*w^2 + 7*w - 8]', '[601, 601, w^3 - 3*w^2 - 3*w + 11]', '[607, 607, -w^3 + 3*w^2 + 4*w - 10]', '[613, 613, 3*w^2 - 8*w - 4]', '[613, 613, -3*w^3 + 5*w^2 + 12*w - 5]', '[619, 619, 2*w^3 - 7*w^2 - 3*w + 17]', '[625, 5, -5]', '[643, 643, 2*w^3 - 8*w^2 + 2*w + 11]', '[643, 643, -w^3 + 4*w^2 - 2*w - 8]', '[643, 643, -3*w^3 + 6*w^2 + 8*w - 5]', '[643, 643, -w^2 + w + 8]', '[653, 653, 3*w^3 - 6*w^2 - 8*w + 4]', '[653, 653, -3*w^3 + 7*w^2 + 6*w - 7]', '[653, 653, 3*w^3 - 9*w^2 - 3*w + 14]', '[653, 653, 2*w^3 - w^2 - 13*w - 5]', '[677, 677, -3*w^3 + 6*w^2 + 11*w - 7]', '[683, 683, w^3 - w^2 - 7*w + 1]', '[683, 683, -w^3 + 2*w^2 + 6*w - 1]', '[701, 701, -w^3 + 5*w^2 - w - 8]', '[727, 727, w^3 - w^2 - 2*w - 4]', '[739, 739, -2*w^3 + 3*w^2 + 10*w - 4]', '[757, 757, 3*w^3 - 7*w^2 - 5*w + 8]', '[757, 757, w^3 + 2*w^2 - 9*w - 8]', '[773, 773, -3*w^3 + 7*w^2 + 5*w - 4]', '[787, 787, -w^3 + 4*w^2 + 2*w - 11]', '[787, 787, -w^3 + 2*w^2 + 2*w - 7]', '[787, 787, -3*w^3 + 8*w^2 + 6*w - 8]', '[787, 787, w^3 - 3*w^2 - 5*w + 5]', '[821, 821, 5*w^3 - 14*w^2 - 7*w + 20]', '[821, 821, -w^3 + 5*w^2 - 14]', '[823, 823, -2*w^3 + 3*w^2 + 8*w - 4]', '[827, 827, w^3 - 3*w^2 - w - 2]', '[839, 839, 2*w^3 - 4*w^2 - 3*w - 2]', '[859, 859, w^3 - 2*w^2 - 3*w - 4]', '[877, 877, -w^3 + 2*w^2 + 6*w - 2]', '[881, 881, w^3 + 2*w^2 - 8*w - 5]', '[883, 883, -3*w^3 + 5*w^2 + 10*w - 5]', '[887, 887, 4*w^3 - 8*w^2 - 13*w + 10]', '[887, 887, -w^3 + 4*w^2 - 3*w - 7]', '[911, 911, -3*w^3 + 6*w^2 + 7*w - 2]', '[929, 929, 2*w^3 - 3*w^2 - 5*w + 8]', '[937, 937, w^3 - 2*w^2 - 4*w - 4]', '[941, 941, -w^3 + 6*w^2 - 4*w - 17]', '[941, 941, 3*w^3 - 10*w^2 - 3*w + 17]', '[947, 947, -2*w^3 + 7*w^2 - 13]', '[947, 947, -w^3 + 4*w^2 + 3*w - 10]', '[953, 953, -3*w^3 + 5*w^2 + 9*w - 1]', '[953, 953, 4*w^3 - 12*w^2 - 5*w + 20]', '[967, 967, 4*w^3 - 11*w^2 - 4*w + 10]', '[971, 971, w^3 - 2*w^2 - 4]', '[983, 983, 5*w^3 - 15*w^2 - 8*w + 25]', '[991, 991, -w^2 + 2*w - 4]', '[997, 997, -w^3 + 4*w^2 - 2*w - 10]']}
89. label: 4.4.7056.1
    {'degree': 4, 'discriminant': 7056, 'ideals': ['[1, 1, 1]', '[3, 3, -w^3 + 5*w + 1]', '[3, 3, w - 1]', '[4, 2, -w^3 + 4*w - 1]', '[9, 3, w^3 - w^2 - 5*w + 3]', '[9, 3, -w^3 - w^2 + 5*w + 3]', '[9, 3, w^3 - 4*w]', '[12, 6, -w^3 - w^2 + 5*w + 2]', '[12, 6, w^3 - w^2 - 3*w]', '[16, 2, 2]', '[25, 5, w^2 - 3]', '[25, 5, w^2 - 2]', '[27, 3, -w^3 + w^2 + 4*w - 1]', '[27, 3, w^3 + w^2 - 4*w - 4]', '[27, 9, -w^3 + 3*w + 2]', '[27, 9, -w^3 + 3*w - 2]', '[36, 6, -w^3 + 6*w - 1]', '[36, 6, -w^3 + 6*w + 1]', '[36, 6, -w^3 + 4*w - 3]', '[37, 37, w + 3]', '[37, 37, w^3 - 5*w + 3]', '[37, 37, -w^3 + 5*w + 3]', '[37, 37, -w + 3]', '[47, 47, w^3 - 3*w - 3]', '[47, 47, w^3 + w^2 - 6*w - 1]', '[47, 47, w^3 - w^2 - 6*w + 1]', '[47, 47, -w^3 - w^2 + 6*w + 4]', '[48, 6, -2*w^3 + 10*w + 2]', '[48, 6, 2*w - 2]', '[49, 7, w^3 - 6*w]', '[59, 59, -w^3 + w^2 + 4*w - 5]', '[59, 59, -w^3 + w^2 + 4*w]', '[59, 59, w^3 + w^2 - 4*w]', '[59, 59, w^3 + w^2 - 4*w - 5]', '[64, 4, -2*w^3 + 8*w - 2]', '[75, 15, w^3 + w^2 - 3*w - 3]', '[75, 15, 2*w^3 + w^2 - 9*w - 2]', '[75, 15, w^3 - w^2 - 3*w + 3]', '[75, 15, -2*w^3 + w^2 + 9*w - 2]', '[81, 3, 3]', '[81, 9, w^3 - 6*w + 4]', '[81, 9, -w^3 + 6*w + 4]', '[81, 9, 2*w^3 - w^2 - 11*w + 4]', '[81, 9, w^3 - w^2 - 7*w + 1]', '[83, 83, -3*w + 2]', '[83, 83, -w^3 + w^2 + 7*w + 1]', '[83, 83, w^3 - w^2 - 6*w + 7]', '[83, 83, -2*w^3 + w^2 + 11*w - 6]', '[100, 10, w^3 + w^2 - 7*w - 2]', '[100, 10, 2*w^3 + w^2 - 11*w - 3]', '[108, 6, -w^3 + w^2 + w + 2]', '[108, 6, w^3 + w^2 - 7*w - 4]', '[108, 18, -w^3 + w^2 + 5*w]', '[108, 18, w^3 + w^2 - 5*w]', '[109, 109, 2*w^3 - 2*w^2 - 9*w + 5]', '[109, 109, 2*w^3 - 11*w + 2]', '[109, 109, w^2 + 2*w + 2]', '[109, 109, 5*w^3 + 2*w^2 - 23*w - 9]', '[111, 111, w^3 - w^2 - 6*w + 5]', '[111, 111, -w^2 + 2*w + 3]', '[111, 111, -w^3 - w^2 + 6*w]', '[111, 111, -2*w^3 + w^2 + 10*w - 2]', '[111, 111, 2*w^3 + w^2 - 10*w - 2]', '[111, 111, w^3 - w^2 - 6*w]', '[111, 111, w^2 + 2*w - 3]', '[111, 111, w^3 + w^2 - 6*w - 5]', '[121, 11, -2*w^3 + 8*w + 1]', '[121, 11, 2*w^3 - 8*w + 1]', '[131, 131, 2*w^3 - 2*w^2 - 5*w + 3]', '[131, 131, -5*w^3 - 2*w^2 + 23*w + 7]', '[131, 131, -3*w^3 - 2*w^2 + 15*w + 6]', '[131, 131, -3*w^3 - 2*w^2 + 13*w + 5]', '[141, 141, -2*w^3 + 7*w - 2]', '[141, 141, 2*w^2 - 2*w - 3]', '[141, 141, -w^3 + 2*w^2 + 2]', '[141, 141, -2*w^2 + 5*w]', '[141, 141, -2*w - 5]', '[141, 141, -2*w^3 + 10*w + 5]', '[141, 141, w^3 + 2*w^2 - 6*w - 4]', '[141, 141, 2*w^3 + 2*w^2 - 10*w - 7]', '[144, 6, 2*w^3 - 2*w^2 - 10*w + 6]', '[144, 6, -2*w^3 - 2*w^2 + 10*w + 6]', '[144, 6, 2*w^3 - 8*w]', '[147, 21, w^3 + w^2 - 6*w - 6]', '[147, 21, -w^3 - w^2 + 6*w - 1]', '[148, 74, -3*w^3 - w^2 + 13*w + 4]', '[148, 74, -2*w^3 + w^2 + 7*w - 1]', '[148, 74, -2*w^3 - w^2 + 7*w + 1]', '[148, 74, -3*w^3 + w^2 + 13*w - 4]', '[167, 167, w^3 - 2*w^2 - w + 3]', '[167, 167, 2*w^3 - w^2 - 7*w + 4]', '[167, 167, 2*w^3 - 2*w^2 - 8*w + 3]', '[167, 167, -3*w^3 - w^2 + 13*w + 1]', '[169, 13, 2*w^3 - 8*w - 5]', '[169, 13, w^3 - 4*w - 4]', '[177, 177, 4*w^3 - 20*w - 1]', '[177, 177, 4*w - 1]', '[177, 177, 6*w^3 + 2*w^2 - 28*w - 9]', '[177, 177, 2*w^3 - 2*w^2 - 4*w + 1]', '[177, 177, w^3 + 2*w^2 - 3*w - 4]', '[177, 177, 2*w^3 - 2*w^2 - 9*w + 6]', '[177, 177, -w^3 + 5*w + 4]', '[177, 177, -w + 4]', '[188, 94, 2*w^3 - w^2 - 9*w + 1]', '[188, 94, -w^3 + w^2 + 3*w - 4]', '[188, 94, -w^3 + 3*w^2 + 9*w - 6]', '[188, 94, -2*w^3 - w^2 + 9*w + 1]', '[192, 12, -2*w^3 - 2*w^2 + 10*w + 4]', '[192, 12, 2*w^3 - 2*w^2 - 6*w]', '[193, 193, w^3 - 7*w - 1]', '[193, 193, 2*w^3 - 11*w - 1]', '[193, 193, -2*w^3 + 11*w - 1]', '[193, 193, w^3 - 7*w + 1]', '[196, 14, -w^3 + 2*w^2 + 6*w - 5]', '[225, 15, -2*w^3 + 11*w]', '[225, 15, 3*w^3 + w^2 - 14*w - 8]', '[225, 15, -3*w^3 + w^2 + 14*w - 8]', '[225, 15, -w^3 + 7*w]', '[225, 15, 2*w^3 - 9*w - 5]', '[225, 15, w^3 - w^2 - 2*w - 3]', '[227, 227, -2*w^3 - w^2 + 8*w + 6]', '[227, 227, 2*w^3 - w^2 - 8*w - 1]', '[227, 227, -2*w^3 - w^2 + 8*w - 1]', '[227, 227, w^3 + 2*w^2 - 7*w - 6]', '[236, 118, 5*w^3 - w^2 - 23*w + 8]', '[236, 118, -w^2 - 3*w + 3]', '[236, 118, -2*w^3 - w^2 + 5*w - 3]', '[236, 118, 3*w^3 - w^2 - 15*w + 2]', '[243, 9, 2*w^3 - w^2 - 8*w - 2]', '[243, 9, -2*w^3 - w^2 + 8*w - 2]', '[243, 9, -3*w^3 + 15*w + 3]', '[243, 9, 3*w - 3]', '[243, 27, -3*w^3 + w^2 + 14*w - 2]', '[243, 27, 3*w^3 + w^2 - 14*w - 2]', '[249, 249, -2*w^3 + 13*w + 8]', '[249, 249, 2*w^2 - w - 6]', '[249, 249, 3*w^3 - 17*w + 8]', '[249, 249, -w^3 - 2*w^2 + 5*w + 4]', '[249, 249, 4*w^3 - w^2 - 18*w + 5]', '[249, 249, 8*w^3 + 3*w^2 - 40*w - 17]', '[249, 249, 2*w^3 + w^2 - 6*w]', '[249, 249, -3*w^2 + 8*w - 2]', '[251, 251, w^2 + 2*w - 4]', '[251, 251, 2*w^3 - w^2 - 10*w + 1]', '[251, 251, -2*w^3 - w^2 + 10*w + 1]', '[251, 251, w^2 - 2*w - 4]', '[256, 4, 4]', '[277, 277, w^3 - 2*w^2 - 4*w + 6]', '[277, 277, -4*w^3 - w^2 + 18*w + 4]', '[277, 277, w^3 - 2*w^2 - 4*w + 4]', '[277, 277, w^3 + 2*w^2 - 4*w - 6]', '[289, 17, 2*w^3 - 7*w]', '[289, 17, 3*w^3 - 13*w]', '[300, 30, w^3 - 2*w^2 - 8*w + 1]', '[300, 30, -w^3 + 2*w - 5]', '[300, 30, 3*w^3 - 2*w^2 - 16*w + 9]', '[300, 30, -3*w^3 + 14*w - 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8]', '[1437, 1437, -2*w^3 + 10*w + 7]', '[1444, 38, 3*w^2 + 5*w + 3]', '[1444, 38, -5*w^3 + 3*w^2 + 25*w - 18]', '[1452, 66, -3*w^3 - 3*w^2 + 19*w + 10]', '[1452, 66, w^3 + w^2 - 9*w - 6]', '[1452, 66, 3*w^3 - 3*w^2 - 5*w - 4]', '[1452, 66, -w^3 + w^2 - w + 4]', '[1453, 1453, 2*w^3 - w^2 - 14*w + 5]', '[1453, 1453, -4*w^3 + 18*w + 9]', '[1453, 1453, -4*w^3 - 4*w^2 + 17*w + 13]', '[1453, 1453, -5*w^3 - 2*w^2 + 24*w + 14]', '[1475, 295, w^3 - 2*w^2 - 7*w + 9]', '[1475, 295, 2*w^3 - 3*w^2 - 11*w + 14]', '[1475, 295, w^3 + 3*w^2 - 7*w - 1]', '[1475, 295, 2*w^3 + 2*w^2 - 11*w - 1]', '[1475, 295, -w^3 + 3*w^2 + 7*w - 1]', '[1475, 295, -2*w^3 + 2*w^2 + 11*w - 1]', '[1475, 295, -w^3 - 2*w^2 + 7*w + 9]', '[1475, 295, -2*w^3 - 3*w^2 + 11*w + 14]', '[1487, 1487, 3*w^3 + w^2 - 16*w + 2]', '[1487, 1487, w^3 - w^2 - 8*w + 7]', '[1487, 1487, w^3 + w^2 - 8*w - 7]', '[1487, 1487, -3*w^3 + w^2 + 16*w + 2]', '[1492, 746, 3*w^3 + w^2 - 9*w - 2]', '[1492, 746, 6*w^3 - w^2 - 27*w + 3]', '[1492, 746, 10*w^3 - 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12*w - 5]', '[1839, 1839, w^3 + 4*w^2 - 2*w - 14]', '[1847, 1847, 4*w^3 - w^2 - 22*w - 3]', '[1847, 1847, 5*w^3 + 3*w^2 - 26*w - 16]', '[1847, 1847, -3*w^3 - w^2 + 16*w - 5]', '[1847, 1847, w^3 - 2*w^2 + 3*w - 4]', '[1849, 43, 2*w^3 - 13*w]', '[1849, 43, 3*w^3 - 17*w]', '[1868, 934, 2*w^3 - w^2 - 5*w + 5]', '[1868, 934, 5*w^3 + w^2 - 23*w]', '[1868, 934, 9*w^3 - 5*w^2 - 45*w + 18]', '[1868, 934, 5*w^2 + 9*w - 7]', '[1873, 1873, 3*w^2 + w - 6]', '[1873, 1873, w^3 + 3*w^2 - 5*w - 9]', '[1873, 1873, -w^3 + 3*w^2 + 5*w - 9]', '[1873, 1873, 3*w^2 - w - 6]', '[1875, 15, -5*w^3 + 25*w + 5]', '[1875, 15, 5*w - 5]', '[1875, 75, -w^3 - w^2 + 8*w + 8]', '[1875, 75, -3*w^3 + w^2 + 16*w + 3]', '[1875, 75, -w^3 + w^2 + 8*w - 8]', '[1875, 75, 3*w^3 + w^2 - 16*w + 3]', '[1907, 1907, 2*w^2 + 2*w - 11]', '[1907, 1907, -2*w^3 + 2*w^2 + 10*w + 1]', '[1907, 1907, 2*w^3 + 2*w^2 - 10*w + 1]', '[1907, 1907, 2*w^2 - 2*w - 11]', '[1916, 958, -w^3 + 3*w^2 - 5*w + 4]', '[1916, 958, 3*w^3 - 5*w^2 - w - 4]', '[1916, 958, -3*w^3 - w^2 + 19*w + 10]', '[1916, 958, 5*w^3 + 3*w^2 - 29*w - 14]', '[1931, 1931, w^2 - 3*w - 8]', '[1931, 1931, 3*w^3 - w^2 - 15*w - 3]', '[1931, 1931, 3*w^3 + w^2 - 15*w + 3]', '[1931, 1931, w^2 + 3*w - 8]', '[1933, 1933, w^3 - 3*w^2 - 4*w + 8]', '[1933, 1933, -w^3 + 3*w^2 + 4*w - 7]', '[1933, 1933, w^3 + 3*w^2 - 4*w - 7]', '[1933, 1933, w^3 + 3*w^2 - 4*w - 8]', '[1936, 22, -4*w^3 + 16*w + 2]', '[1936, 22, 4*w^3 - 16*w + 2]', '[1941, 1941, -w^3 - 3*w^2 + 5*w + 7]', '[1941, 1941, 3*w^2 - w - 8]', '[1941, 1941, 7*w^3 - 2*w^2 - 30*w + 12]', '[1941, 1941, -6*w^3 - 2*w^2 + 26*w + 9]', '[1941, 1941, -6*w^3 + 2*w^2 + 26*w - 9]', '[1941, 1941, 7*w^3 + 2*w^2 - 30*w - 12]', '[1941, 1941, 3*w^2 + w - 8]', '[1941, 1941, w^3 - 3*w^2 - 5*w + 7]', '[1979, 1979, -3*w^3 - 2*w^2 + 14*w + 2]', '[1979, 1979, -w^3 + 2*w^2 + 2*w - 8]', '[1979, 1979, w^3 + 2*w^2 - 2*w - 8]', '[1979, 1979, 3*w^3 - 2*w^2 - 14*w + 2]', '[2004, 1002, 5*w^3 + w^2 - 21*w - 6]', '[2004, 1002, 4*w^3 - 5*w^2 - 23*w + 13]', '[2004, 1002, -4*w^3 + w^2 + 15*w + 1]', '[2004, 1002, w^3 - 3*w^2 - 5*w + 8]', '[2004, 1002, -3*w^3 + 5*w^2 + 19*w - 12]', '[2004, 1002, 4*w^3 + w^2 - 15*w + 1]', '[2004, 1002, 3*w^2 + w - 7]', '[2004, 1002, -5*w^3 + w^2 + 21*w - 6]', '[2012, 1006, 3*w^3 - w^2 - 11*w + 10]', '[2012, 1006, 4*w^3 + w^2 - 17*w + 5]', '[2012, 1006, 2*w^3 - 3*w^2 - 13*w + 3]', '[2012, 1006, -3*w^3 + 3*w^2 + 17*w - 12]', '[2017, 2017, -w^2 + 2*w - 5]', '[2017, 2017, -2*w^3 + w^2 + 10*w - 10]', '[2017, 2017, 2*w^3 + w^2 - 10*w - 10]', '[2017, 2017, -w^2 - 2*w - 5]', '[2019, 2019, -2*w^3 - 3*w^2 + 13*w + 10]', '[2019, 2019, 8*w^3 + 5*w^2 - 37*w - 16]', '[2019, 2019, 4*w^3 + 2*w^2 - 18*w - 3]', '[2019, 2019, -4*w^3 + w^2 + 17*w + 4]', '[2019, 2019, -3*w^3 - 3*w^2 + 17*w + 5]', '[2019, 2019, 4*w^3 - 2*w^2 - 18*w + 3]', '[2019, 2019, 7*w^3 + 2*w^2 - 33*w - 6]', '[2019, 2019, 2*w^3 - 3*w^2 - 13*w + 10]', '[2025, 15, 3*w^2 - 9]', '[2025, 15, 3*w^2 - 6]', '[2025, 45, 3*w^3 + 4*w^2 - 11*w - 8]', '[2025, 45, -3*w^3 + 4*w^2 + 11*w - 8]', '[2025, 45, 4*w^3 + 4*w^2 - 17*w - 12]', '[2025, 45, -4*w^3 + 4*w^2 + 17*w - 12]', '[2025, 45, -7*w^3 + 2*w^2 + 31*w - 11]', '[2025, 45, -4*w^3 + 2*w^2 + 13*w + 1]', '[2025, 45, -7*w^3 - 2*w^2 + 31*w + 11]', '[2025, 45, -5*w^3 - w^2 + 20*w + 7]', '[2028, 78, 4*w^3 + 3*w^2 - 17*w - 13]', '[2028, 78, 2*w^3 + 3*w^2 - 7*w - 11]', '[2028, 78, -3*w^3 + 3*w^2 + 11*w - 2]', '[2028, 78, -3*w^3 + 3*w^2 + 13*w - 4]', '[2043, 681, 2*w^3 - 2*w^2 - 7*w + 9]', '[2043, 681, -w^3 - w^2 + 8*w + 9]', '[2043, 681, 4*w^3 - 3*w^2 - 22*w + 6]', '[2043, 681, 3*w^3 + w^2 - 16*w + 4]', '[2043, 681, -2*w^3 + 5*w + 6]', '[2043, 681, 5*w^3 + 5*w^2 - 28*w - 12]', '[2043, 681, -2*w^3 + 5*w - 6]', '[2043, 681, -3*w^3 + w^2 + 16*w + 4]', '[2043, 681, -5*w^3 + 5*w^2 + 28*w - 12]', '[2043, 681, -w^3 + w^2 + 8*w - 9]', '[2043, 681, 2*w^3 + 2*w^2 - 7*w - 9]', '[2043, 681, -5*w^3 + 23*w - 6]', '[2053, 2053, w^3 - w^2 - 3*w - 5]', '[2053, 2053, 2*w^3 - w^2 - 9*w + 10]', '[2053, 2053, 2*w^3 + w^2 - 9*w - 10]', '[2053, 2053, -w^3 - w^2 + 3*w - 5]', '[2063, 2063, 2*w^3 + 4*w^2 - 13*w - 13]', '[2063, 2063, 3*w^3 + 4*w^2 - 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7*w]', '[2164, 1082, -2*w^3 - 5*w^2 + 3*w + 5]', '[2164, 1082, -7*w^3 + 5*w^2 + 33*w - 20]', '[2164, 1082, w^3 - 5*w^2 - 9*w + 14]', '[2164, 1082, -4*w^3 + 5*w^2 + 21*w - 11]', '[2183, 2183, 4*w^3 + 4*w^2 - 17*w - 16]', '[2183, 2183, 8*w^3 + 4*w^2 - 36*w - 19]', '[2183, 2183, -2*w^3 + 2*w^2 + 7*w - 14]', '[2183, 2183, 2*w^3 + 2*w^2 - 12*w - 11]', '[2183, 2183, 3*w^3 + 2*w^2 - 13*w + 4]', '[2183, 2183, 2*w^3 + 2*w^2 - 12*w + 1]', '[2183, 2183, -3*w^3 + 4*w^2 + 11*w - 4]', '[2183, 2183, -4*w^3 + 4*w^2 + 12*w - 1]', '[2183, 2183, 4*w^3 + 4*w^2 - 12*w - 1]', '[2183, 2183, 3*w^3 + 4*w^2 - 11*w - 4]', '[2183, 2183, -2*w^3 + 2*w^2 + 12*w + 1]', '[2183, 2183, -3*w^3 + 2*w^2 + 13*w + 4]', '[2183, 2183, -2*w^3 + 2*w^2 + 12*w - 11]', '[2183, 2183, 2*w^3 + 2*w^2 - 7*w - 14]', '[2183, 2183, -8*w^3 + 4*w^2 + 36*w - 19]', '[2183, 2183, -4*w^3 + 4*w^2 + 17*w - 16]', '[2187, 9, -3*w^3 + 3*w^2 + 12*w - 3]', '[2187, 9, 3*w^3 + 3*w^2 - 12*w - 12]', '[2187, 27, -w^3 + 2*w^2 + 7*w - 11]', '[2187, 27, -w^3 - 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3*w^2 + 18*w + 7]', '[2241, 747, -w^3 + 7*w^2 - 10*w - 3]', '[2241, 747, 8*w^3 - 6*w^2 - 39*w + 19]', '[2241, 747, 2*w^2 + 5*w + 5]', '[2241, 747, -2*w^2 + 5*w - 5]', '[2241, 747, 8*w^3 + 6*w^2 - 39*w - 19]', '[2241, 747, -w^3 - 7*w^2 - 10*w + 3]', '[2241, 747, -5*w^3 + 3*w^2 + 18*w - 7]', '[2243, 2243, 2*w^3 + w^2 - 6*w - 7]', '[2243, 2243, 4*w^3 + w^2 - 18*w + 2]', '[2243, 2243, -4*w^3 + w^2 + 18*w + 2]', '[2243, 2243, -2*w^3 + w^2 + 6*w - 7]', '[2252, 1126, 4*w^3 - w^2 - 19*w - 1]', '[2252, 1126, 7*w^3 + w^2 - 25*w + 12]', '[2252, 1126, w^3 + w^2 - w - 6]', '[2252, 1126, 10*w^3 - w^2 - 43*w + 17]', '[2256, 282, -4*w^3 + 14*w - 4]', '[2256, 282, 4*w^2 - 4*w - 6]', '[2256, 282, -2*w^3 + 4*w^2 + 4]', '[2256, 282, -4*w^2 + 10*w]', '[2256, 282, -4*w - 10]', '[2256, 282, -4*w^3 + 20*w + 10]', '[2256, 282, 2*w^3 + 4*w^2 - 12*w - 8]', '[2256, 282, 4*w^3 + 4*w^2 - 20*w - 14]', '[2259, 753, -6*w^3 + 2*w^2 + 25*w - 13]', '[2259, 753, -3*w^3 + 2*w^2 + 15*w - 2]', '[2259, 753, 2*w^3 + 2*w^2 - 13*w - 9]', '[2259, 753, 7*w^3 - w^2 - 32*w + 12]', '[2259, 753, -2*w^2 - 3*w + 8]', '[2259, 753, 5*w^3 + 3*w^2 - 24*w - 8]', '[2259, 753, -5*w^3 + 3*w^2 + 24*w - 8]', '[2259, 753, 2*w^2 - 3*w - 8]', '[2259, 753, -7*w^3 - w^2 + 32*w + 12]', '[2259, 753, 6*w^3 + 2*w^2 - 25*w - 13]', '[2259, 753, -2*w^3 + 2*w^2 + 13*w - 9]', '[2259, 753, -3*w^3 - 2*w^2 + 15*w + 2]', '[2267, 2267, 3*w^3 + 2*w^2 - 12*w - 12]', '[2267, 2267, -2*w^3 - 3*w^2 + 12*w + 12]', '[2267, 2267, 5*w^3 + 2*w^2 - 21*w - 14]', '[2267, 2267, -4*w^3 - 4*w^2 + 22*w + 15]', '[2269, 2269, 5*w^3 + w^2 - 21*w - 1]', '[2269, 2269, -4*w^3 - w^2 + 15*w + 4]', '[2269, 2269, 4*w^3 - w^2 - 15*w + 4]', '[2269, 2269, -5*w^3 + w^2 + 21*w - 1]', '[2271, 2271, 6*w^3 - 29*w + 4]', '[2271, 2271, -2*w^3 + 4*w^2 + 13*w - 5]', '[2271, 2271, w^3 + w - 4]', '[2271, 2271, 12*w^3 + 6*w^2 - 55*w - 22]', '[2271, 2271, 6*w^3 - 5*w^2 - 22*w + 12]', '[2271, 2271, -w^3 - w - 4]', '[2271, 2271, -2*w^3 - 4*w^2 + 13*w + 5]', '[2271, 2271, -w^2 + 4*w + 6]', '[2293, 2293, -3*w^3 + 19*w - 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w^2 - 22*w + 1]', '[361, 19, -3*w^3 - w^2 + 10*w + 4]', '[373, 373, 2*w^3 - w^2 - 12*w + 1]', '[373, 373, 2*w^3 + w^2 - 8*w - 9]', '[373, 373, -2*w^3 + w^2 + 8*w - 9]', '[373, 373, w^3 - 2*w^2 - w - 2]', '[383, 383, -4*w^3 - 2*w^2 + 21*w + 11]', '[383, 383, -3*w - 4]', '[383, 383, -w^3 - w^2 + 7*w + 9]', '[383, 383, 2*w^3 + w^2 - 11*w + 4]', '[419, 419, 3*w - 5]', '[419, 419, 5*w - 3]', '[419, 419, 3*w^3 - 15*w - 5]', '[419, 419, 5*w^3 - 25*w - 3]', '[421, 421, -2*w^3 - 2*w^2 + 13*w + 5]', '[421, 421, 3*w^3 + w^2 - 16*w - 4]', '[421, 421, 3*w^3 + 2*w^2 - 17*w - 5]', '[421, 421, -w^3 - w^2 + 8*w + 1]', '[457, 457, -3*w^3 - w^2 + 12*w + 2]', '[457, 457, w^3 - 3*w^2 - 3*w + 3]', '[457, 457, -3*w^3 - w^2 + 12*w + 3]', '[457, 457, w^3 - 3*w^2 - 2*w + 3]', '[467, 467, -w^3 - 2*w^2 + 7*w + 1]', '[467, 467, 2*w^3 + 2*w^2 - 11*w - 9]', '[467, 467, -2*w^3 + 2*w^2 + 11*w - 9]', '[467, 467, w^3 - 2*w^2 - 7*w + 1]', '[479, 479, -3*w^3 + 3*w^2 + 12*w - 5]', '[479, 479, 3*w^3 - 3*w^2 - 10*w + 3]', '[479, 479, -3*w^3 - 3*w^2 + 12*w + 10]', '[479, 479, 5*w^3 + 3*w^2 - 22*w - 12]', '[503, 503, -3*w^3 - w^2 + 14*w + 1]', '[503, 503, -w^3 + w^2 + 2*w - 4]', '[503, 503, w^3 + w^2 - 2*w - 4]', '[503, 503, 3*w^3 - w^2 - 14*w + 1]', '[529, 23, -3*w^3 + 12*w + 2]', '[529, 23, 3*w^3 - 12*w + 2]', '[541, 541, -w^3 + 9*w + 3]', '[541, 541, 4*w^3 - 21*w + 3]', '[541, 541, 3*w^3 - 2*w^2 - 10*w + 2]', '[541, 541, w^3 - 9*w + 3]', '[563, 563, 3*w^3 + w^2 - 12*w - 8]', '[563, 563, -3*w^3 - w^2 + 12*w - 3]', '[563, 563, 3*w^3 - w^2 - 12*w - 3]', '[563, 563, -3*w^3 + w^2 + 12*w - 8]', '[587, 587, -2*w^3 + 2*w^2 + 6*w - 5]', '[587, 587, -4*w^3 + 2*w^2 + 18*w - 5]', '[587, 587, 4*w^3 + 2*w^2 - 18*w - 5]', '[587, 587, 5*w^3 + 2*w^2 - 23*w - 6]', '[613, 613, -4*w^3 + 17*w + 3]', '[613, 613, 3*w^3 - 11*w - 3]', '[613, 613, 3*w^3 - w^2 - 10*w - 2]', '[613, 613, -4*w^3 + 17*w - 3]', '[647, 647, -w^3 - 2*w^2 + 7*w]', '[647, 647, 2*w^3 + w^2 - 10*w + 2]', '[647, 647, -2*w^3 - 2*w^2 + 11*w + 10]', '[647, 647, w^2 - 2*w - 7]', '[673, 673, 4*w^3 + w^2 - 16*w - 6]', '[673, 673, 6*w^3 + 2*w^2 - 27*w - 10]', '[673, 673, -6*w^3 + 2*w^2 + 27*w - 10]', '[673, 673, w^3 - w^2 - 8*w - 5]', '[709, 709, 2*w^3 - 9*w - 6]', '[709, 709, w^3 - 3*w - 6]', '[709, 709, -w^3 + 3*w - 6]', '[709, 709, -2*w^3 + 9*w - 6]', '[719, 719, 2*w^3 - 2*w^2 - 9*w + 2]', '[719, 719, -2*w^3 - 2*w^2 + 8*w + 1]', '[719, 719, 2*w^3 - 2*w^2 - 8*w + 1]', '[719, 719, -2*w^3 - 2*w^2 + 9*w + 2]', '[757, 757, 3*w^3 - 3*w^2 - 6*w + 2]', '[757, 757, 3*w^3 + 3*w^2 - 13*w - 9]', '[757, 757, -3*w^3 + 3*w^2 + 13*w - 9]', '[757, 757, -2*w^3 - 3*w^2 + 7*w + 6]', '[839, 839, -4*w^3 + w^2 + 20*w - 1]', '[839, 839, w^2 - 4*w - 4]', '[839, 839, w^2 + 4*w - 4]', '[839, 839, 4*w^3 + w^2 - 20*w - 1]', '[841, 29, -w^3 + 6*w - 6]', '[841, 29, w^3 - 6*w - 6]', '[877, 877, 3*w^3 + w^2 - 11*w - 1]', '[877, 877, -4*w^3 - w^2 + 17*w + 4]', '[877, 877, 4*w^3 - w^2 - 17*w + 4]', '[877, 877, -3*w^3 + w^2 + 11*w - 1]', '[887, 887, -3*w^3 - 2*w^2 + 15*w + 4]', '[887, 887, 2*w^2 - 3*w - 6]', '[887, 887, 2*w^2 + 3*w - 6]', '[887, 887, 3*w^3 - 2*w^2 - 15*w + 4]', '[961, 31, -2*w^3 - 3*w^2 + 11*w + 8]', '[961, 31, -2*w^3 + 3*w^2 + 11*w - 8]', '[971, 971, -4*w^3 + 21*w - 6]', '[971, 971, -w^3 + 9*w - 6]', '[971, 971, 6*w^3 + w^2 - 30*w - 9]', '[971, 971, 4*w^3 - 21*w - 6]', '[983, 983, 5*w^3 - 23*w + 4]', '[983, 983, -5*w^3 + 22*w - 6]', '[983, 983, 5*w^3 - 22*w - 6]', '[983, 983, -5*w^3 + 23*w + 4]']}
90. label: 4.4.7168.1
    {'degree': 4, 'discriminant': 7168, 'ideals': ['[1, 1, 1]', '[2, 2, w + 1]', '[4, 2, -w^2 + 3]', '[7, 7, w]', '[8, 2, -w^3 - w^2 + 3*w + 3]', '[9, 3, w^2 + w - 1]', '[9, 3, w^2 - w - 1]', '[14, 14, w^3 + 2*w^2 - 4*w - 7]', '[16, 2, 2]', '[17, 17, -w^3 + 3*w - 1]', '[17, 17, w^3 - 3*w - 1]', '[18, 6, -w^2 - w + 4]', '[18, 6, -w^2 + w + 4]', '[23, 23, -w^3 - w^2 + 3*w + 4]', '[23, 23, w^3 - w^2 - 3*w + 4]', '[28, 14, -w^3 + 3*w]', '[32, 4, 2*w + 2]', '[34, 34, -w - 3]', '[34, 34, w - 3]', '[36, 6, w^3 - 2*w^2 - 3*w + 4]', '[36, 6, -w^3 - 2*w^2 + 3*w + 4]', '[41, 41, w^3 - w^2 - 2*w + 3]', '[41, 41, -w^3 - w^2 + 2*w + 3]', '[46, 46, w^3 + w^2 - 4*w - 2]', '[46, 46, -w^3 + w^2 + 4*w - 2]', '[49, 7, 2*w^2 - 7]', '[49, 7, w^2 - 6]', '[56, 14, w^3 + w^2 - 5*w - 7]', '[63, 21, w^3 + 2*w^2 - 3*w - 7]', '[63, 21, w^3 - 2*w^2 - 3*w + 7]', '[64, 4, -2*w^2 + 6]', '[68, 34, w^2 + 2*w - 3]', '[68, 34, w^2 - 2*w - 3]', '[71, 71, w^3 + 3*w^2 - 3*w - 6]', '[71, 71, -2*w^2 - 2*w + 1]', '[72, 6, -w^3 - w^2 + 3*w + 5]', '[72, 6, w^3 - w^2 - 3*w + 5]', '[73, 73, w^2 - 2*w - 2]', '[73, 73, w^2 + 2*w - 2]', '[79, 79, w^3 - w^2 - 5*w + 2]', '[79, 79, -w^3 - w^2 + 5*w + 2]', '[81, 3, 3]', '[81, 9, w^3 - 2*w + 2]', '[81, 9, w^3 - 2*w - 2]', '[82, 82, 3*w^2 + w - 4]', '[82, 82, -2*w^3 - 5*w^2 + 5*w + 10]', '[89, 89, 2*w - 1]', '[89, 89, -2*w - 1]', '[92, 46, -w^2 + 2*w + 5]', '[92, 46, -w^2 - 2*w + 5]', '[97, 97, -w^3 + w^2 + 4*w - 1]', '[97, 97, w^3 + w^2 - 4*w - 1]', '[98, 14, w^3 + w^2 - 6*w - 6]', '[98, 14, 2*w^3 + 2*w^2 - 7*w - 7]', '[103, 103, -2*w^3 + w^2 + 8*w - 2]', '[103, 103, w^3 - w^2 - 3*w + 6]', '[103, 103, -w^3 - w^2 + 3*w + 6]', '[103, 103, 2*w^3 + w^2 - 8*w - 2]', '[112, 14, 2*w]', '[119, 119, -w^3 - w^2 + 4*w + 7]', '[119, 119, -w^3 + w^2 + 4*w - 7]', '[126, 42, -w^3 - w^2 + 4*w]', '[126, 42, -w^3 + w^2 + 4*w]', '[127, 127, w^3 + 3*w^2 - 4*w - 11]', '[127, 127, -w^3 + 3*w^2 + 4*w - 11]', '[128, 4, -2*w^3 - 2*w^2 + 6*w + 6]', '[136, 34, w^3 + 3*w^2 - 3*w - 9]', '[136, 34, -w^3 + 3*w^2 + 3*w - 9]', '[137, 137, -w^3 - 3*w^2 + 2*w + 9]', '[137, 137, -2*w^2 + w + 10]', '[137, 137, -2*w^2 - w + 10]', '[137, 137, w^3 - 3*w^2 - 2*w + 9]', '[142, 142, -w^3 + w^2 + 2*w - 4]', '[142, 142, w^3 + w^2 - 2*w - 4]', '[144, 6, 2*w^2 + 2*w - 2]', '[144, 6, 2*w^2 - 2*w - 2]', '[146, 146, w^3 + 3*w^2 - 2]', '[146, 146, w^3 - w^2 - 4*w - 2]', '[151, 151, 3*w^2 - 2*w - 10]', '[151, 151, w^3 + 3*w^2 - 4*w - 9]', '[153, 51, -w^3 + 2*w - 4]', '[153, 51, w^3 - 2*w^2 - 6*w + 10]', '[153, 51, w^3 - 2*w - 4]', '[153, 51, -w^3 - 2*w^2 + 6*w + 10]', '[158, 158, -2*w^3 - 2*w^2 + 7*w + 9]', '[158, 158, -3*w - 5]', '[161, 161, 2*w^3 + w^2 - 9*w - 7]', '[161, 161, 2*w^3 - w^2 - 9*w + 7]', '[162, 6, 3*w + 3]', '[162, 18, -2*w^3 - 2*w^2 + 5*w + 3]', '[162, 18, -w^3 - w^2 + 6*w + 2]', '[164, 82, -w^3 + w + 2]', '[164, 82, w^3 - w + 2]', '[167, 167, w^3 + 4*w^2 - 2*w - 8]', '[167, 167, 2*w^3 - 8*w - 3]', '[167, 167, 2*w^3 - 8*w + 3]', '[167, 167, 2*w^3 + 5*w^2 - 7*w - 13]', '[178, 178, -2*w^2 - 3*w - 1]', '[178, 178, 2*w^2 + w - 1]', '[184, 46, -w^3 - w^2 + 5*w + 1]', '[184, 46, w^3 - w^2 - 5*w + 1]', '[191, 191, -w^3 + 6*w - 2]', '[191, 191, w^3 - 6*w - 2]', '[193, 193, -2*w^3 + 2*w^2 + 6*w - 5]', '[193, 193, w^3 + 2*w^2 - 4*w - 4]', '[193, 193, -w^3 + 2*w^2 + 4*w - 4]', '[193, 193, -2*w^3 - 2*w^2 + 6*w + 5]', '[194, 194, 2*w^3 + 3*w^2 - 5*w - 8]', '[194, 194, -w^2 + 3*w + 6]', '[196, 14, 3*w^2 - 11]', '[196, 14, w^2 - 7]', '[199, 199, 2*w^2 - 3*w - 6]', '[199, 199, w^3 + w^2 + w + 2]', '[199, 199, 2*w^3 + 2*w^2 - 4*w - 5]', '[199, 199, 2*w^2 + 3*w - 6]', '[206, 206, 2*w^2 + 3*w - 1]', '[206, 206, 3*w^3 + 5*w^2 - 10*w - 16]', '[206, 206, -w^3 - 3*w^2 + 6*w + 12]', '[206, 206, -2*w^3 - 4*w^2 + 9*w + 13]', '[207, 69, -w^3 + w^2 + 6*w - 5]', '[207, 69, -2*w^3 + 7*w + 2]', '[207, 69, 2*w^3 - 7*w + 2]', '[207, 69, w^3 + w^2 - 6*w - 5]', '[223, 223, 2*w^3 + w^2 - 6*w - 6]', '[223, 223, w^3 - w^2 - 5*w - 2]', '[223, 223, 2*w^3 + 4*w^2 - 6*w - 9]', '[223, 223, -2*w^3 + w^2 + 6*w - 6]', '[224, 28, 2*w^3 + 4*w^2 - 8*w - 14]', '[238, 238, -w^2 - 3*w]', '[238, 238, w^2 - 3*w]', '[239, 239, -2*w^3 - 5*w^2 + 5*w + 11]', '[239, 239, w^3 + 4*w^2 - 4*w - 10]', '[241, 241, -3*w^3 - 4*w^2 + 9*w + 11]', '[241, 241, -2*w^3 - w^2 + 6*w + 4]', '[252, 42, -w^2 - 2*w + 7]', '[252, 42, w^2 - 2*w - 7]', '[254, 254, 2*w^3 + w^2 - 7*w - 4]', '[254, 254, 4*w^3 + 5*w^2 - 15*w - 18]', '[256, 4, 4]', '[257, 257, 2*w^3 + 5*w^2 - 6*w - 12]', '[257, 257, -w^3 - 4*w^2 + 3*w + 9]', '[263, 263, -w^3 - w^2 + 6*w + 3]', '[263, 263, w^3 - w^2 - 6*w + 3]', '[271, 271, -2*w^3 - w^2 + 7*w + 3]', '[271, 271, -w^3 + 2*w^2 + 3*w - 9]', '[271, 271, w^3 + 2*w^2 - 3*w - 9]', '[271, 271, 2*w^3 - w^2 - 7*w + 3]', '[272, 34, -2*w^3 + 6*w - 2]', '[272, 34, 2*w^3 - 6*w - 2]', '[274, 274, -2*w^3 - 3*w^2 + 9*w + 10]', '[274, 274, 2*w^3 - 5*w + 1]', '[274, 274, -2*w^3 + 5*w + 1]', '[274, 274, -2*w^3 - w^2 + 11*w + 10]', '[284, 142, -3*w^2 - 2*w + 3]', '[284, 142, 2*w^3 + 5*w^2 - 6*w - 11]', '[287, 287, -w^3 + 4*w^2 + 3*w - 7]', '[287, 287, -w^3 - 4*w^2 + 3*w + 7]', '[288, 12, -2*w^2 - 2*w + 8]', '[288, 12, -2*w^2 + 2*w + 8]', '[289, 17, 3*w^2 - 8]', '[289, 17, -3*w^2 + 10]', '[289, 289, -w^3 - w^2 + 2*w + 5]', '[289, 289, -w^3 + w^2 + 2*w - 5]', '[292, 146, 2*w^3 - w^2 - 6*w + 1]', '[292, 146, -2*w^3 - w^2 + 6*w + 1]', '[302, 302, 3*w^3 + w^2 - 12*w - 10]', '[302, 302, 4*w^3 + 5*w^2 - 13*w - 16]', '[306, 102, -2*w^3 + 7*w + 1]', '[306, 102, -w^3 - 2*w^2 + 4*w + 3]', '[306, 102, -2*w^3 + 7*w - 1]', '[306, 102, w^3 - 2*w^2 - 4*w + 3]', '[313, 313, -w^3 + 2*w^2 - 6]', '[313, 313, w^3 + 2*w^2 - 6]', '[316, 158, 2*w^3 + w^2 - 8*w - 1]', '[316, 158, -2*w^3 + w^2 + 8*w - 1]', '[322, 322, w^3 + 2*w^2 - 2*w - 7]', '[322, 322, w^3 - 2*w^2 - 2*w + 7]', '[324, 6, -3*w^2 + 9]', '[324, 18, -w^3 - 2*w^2 + w + 6]', '[324, 18, -w^3 + 2*w^2 + w - 6]', '[328, 82, -w^3 - 5*w^2 + 3*w + 9]', '[328, 82, w^3 + 5*w^2 + w - 5]', '[334, 334, 3*w^3 + 6*w^2 - 12*w - 19]', '[334, 334, w^2 - 3*w - 4]', '[334, 334, -w^2 - 3*w + 4]', '[334, 334, 2*w^3 + 4*w^2 - 11*w - 17]', '[343, 7, w^3 - 6*w]', '[343, 49, 2*w^3 - 7*w]', '[353, 353, -w^3 + 3*w - 5]', '[353, 353, w^3 - 3*w - 5]', '[356, 178, -2*w^3 + w^2 + 6*w - 3]', '[356, 178, 2*w^3 + w^2 - 6*w - 3]', '[359, 359, w^3 - w + 3]', '[359, 359, 4*w^3 + 5*w^2 - 14*w - 18]', '[361, 19, -w^3 + 2*w^2 + 4*w - 2]', '[361, 19, w^3 + 2*w^2 - 4*w - 2]', '[367, 367, -2*w^3 - 3*w^2 + 6*w + 10]', '[367, 367, -3*w - 2]', '[367, 367, 3*w - 2]', '[367, 367, w^3 + 2*w^2 - 7*w - 11]', '[368, 46, -2*w^3 - 2*w^2 + 6*w + 8]', '[368, 46, 2*w^3 - 2*w^2 - 6*w + 8]', '[369, 123, 2*w^3 + 2*w^2 - 2*w - 3]', '[369, 123, 4*w^3 - 6*w^2 - 8*w + 11]', '[369, 123, -2*w^3 + 2*w^2 + 2*w - 3]', '[369, 123, -4*w^3 - 6*w^2 + 8*w + 11]', '[382, 382, w^3 - 8*w - 9]', '[382, 382, -w^3 + 4*w + 5]', '[386, 386, 3*w^3 + 4*w^2 - 8*w - 11]', '[386, 386, -4*w^3 - 8*w^2 + 11*w + 19]', '[386, 386, -4*w^2 + w + 9]', '[386, 386, w^3 + 3]', '[388, 194, -w^3 - 2*w^2 + 5*w + 4]', '[388, 194, w^3 - 2*w^2 - 5*w + 4]', '[391, 391, -2*w^3 + 2*w^2 + 8*w - 5]', '[391, 391, -w^2 + 3*w + 1]', '[391, 391, w^2 + 3*w - 1]', '[391, 391, 2*w^3 + 2*w^2 - 8*w - 5]', '[392, 14, w^3 + w^2 - 7*w - 7]', '[392, 14, 3*w^3 + 3*w^2 - 11*w - 11]', '[398, 398, 2*w^3 - w^2 - 9*w - 6]', '[398, 398, w^3 - 3*w^2 - 4*w + 6]', '[398, 398, -w^3 - 3*w^2 + 4*w + 6]', '[398, 398, 2*w^3 + 5*w^2 - 3*w - 6]', '[401, 401, -2*w^3 + 6*w - 1]', '[401, 401, -3*w^3 + 3*w^2 + 11*w - 10]', '[401, 401, 3*w^3 + 3*w^2 - 11*w - 10]', '[401, 401, 2*w^3 - 6*w - 1]', '[409, 409, w^3 - 3*w^2 - 6*w + 13]', '[409, 409, -w^3 - 3*w^2 + 6*w + 13]', '[412, 206, -2*w^3 - w^2 + 10*w + 1]', '[412, 206, -3*w^2 - 2*w + 11]', '[412, 206, -3*w^2 + 2*w + 11]', '[412, 206, 2*w^3 - w^2 - 10*w + 1]', '[414, 138, w^2 - w + 2]', '[414, 138, w^3 - 3*w^2 - 2*w + 10]', '[414, 138, w^2 + w + 2]', '[414, 138, w^3 + 3*w^2 - 2*w - 10]', '[431, 431, w^3 - 4*w^2 - 2*w + 10]', '[431, 431, -w^3 - 4*w^2 + 2*w + 10]', '[433, 433, w^3 - w^2 - 6*w - 3]', '[433, 433, 2*w^3 + 4*w^2 - 7*w - 10]', '[441, 21, w^3 - w^2 - 6*w - 1]', '[441, 21, -w^3 - w^2 + 6*w - 1]', '[441, 21, 2*w^3 + 3*w^2 - 7*w - 7]', '[441, 21, -2*w^3 + 3*w^2 + 7*w - 7]', '[446, 446, 3*w^3 + 7*w^2 - 12*w - 20]', '[446, 446, w^3 + w^2 - 2*w - 6]', '[446, 446, -w^3 + w^2 + 2*w - 6]', '[446, 446, -w^3 - 5*w^2 + 8]', '[448, 28, -2*w^3 + 6*w]', '[463, 463, w^2 + 3*w - 3]', '[463, 463, w^2 - 3*w - 3]', '[476, 238, -w^3 - 4*w^2 + 5*w + 14]', '[476, 238, -w^3 + 4*w^2 + 5*w - 14]', '[478, 478, w^2 + 3*w - 2]', '[478, 478, w^2 - 3*w - 2]', '[482, 482, w + 5]', '[482, 482, -w + 5]', '[487, 487, 2*w^2 + 2*w - 9]', '[487, 487, 2*w^2 - 2*w - 9]', '[497, 497, -w^2 + 3*w + 7]', '[497, 497, -3*w^3 - 4*w^2 + 10*w + 14]', '[504, 42, -w^3 - 3*w^2 + 5*w + 7]', '[504, 42, -w^3 + 3*w^2 + 5*w - 7]', '[508, 254, w^3 + 2*w^2 - 5*w - 12]', '[508, 254, -w^3 + 2*w^2 + 5*w - 12]', '[511, 511, w^3 + 2*w^2 - 2*w]', '[511, 511, w^3 - 2*w^2 - 2*w]', '[512, 8, 4*w + 4]', '[514, 514, 3*w - 1]', '[514, 514, -3*w - 1]', '[521, 521, -w^3 - 4*w^2 + 5*w + 13]', '[521, 521, w^3 - 4*w^2 - 5*w + 13]', '[526, 526, -w^2 - 3*w - 4]', '[526, 526, -2*w^3 - 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6*w - 5]', '[1759, 1759, 2*w^3 + 4*w^2 - 6*w - 15]', '[1759, 1759, -2*w^3 + 4*w^2 + 6*w - 15]', '[1762, 1762, 3*w^3 - w^2 - 10*w + 2]', '[1762, 1762, -3*w^3 - w^2 + 10*w + 2]', '[1764, 42, -3*w^3 + 4*w^2 + 11*w - 10]', '[1764, 42, 3*w^3 + 4*w^2 - 11*w - 10]', '[1764, 42, -w^3 - 2*w^2 + 7*w]', '[1764, 42, w^3 - 2*w^2 - 7*w]', '[1774, 1774, w^3 - 3*w^2 + 10]', '[1774, 1774, w^3 + 2*w^2 - 8*w - 9]', '[1774, 1774, w^3 - 10*w - 9]', '[1774, 1774, 7*w^3 + 11*w^2 - 22*w - 32]', '[1777, 1777, 2*w^3 + w^2 - 5*w - 11]', '[1777, 1777, -2*w^3 + w^2 + 5*w - 11]', '[1778, 1778, -8*w^3 - 10*w^2 + 37*w + 49]', '[1778, 1778, -2*w^3 - 4*w^2 + 9*w + 21]', '[1784, 446, 3*w^3 - w^2 - 15*w - 11]', '[1784, 446, -w^3 + 3*w^2 + w - 11]', '[1784, 446, w^3 + 3*w^2 - w - 11]', '[1784, 446, 3*w^3 + 7*w^2 - 7*w - 11]', '[1791, 597, -5*w^3 + 7*w^2 + 9*w - 8]', '[1791, 597, -w^3 + w^2 - 3*w - 8]', '[1791, 597, -2*w^2 + 5*w + 8]', '[1791, 597, -3*w^3 - w^2 + 8*w + 1]', '[1791, 597, -2*w^2 - 5*w + 8]', '[1791, 597, 3*w^3 - w^2 - 8*w + 1]', '[1791, 597, w^3 + w^2 + 3*w - 8]', '[1791, 597, 5*w^3 + 7*w^2 - 9*w - 8]', '[1792, 28, 4*w]', '[1799, 1799, -2*w^3 - 2*w^2 + 13*w + 14]', '[1799, 1799, w^3 + w^2 - 8*w - 7]', '[1801, 1801, -2*w^3 - w^2 + 9*w - 3]', '[1801, 1801, 3*w^3 + w^2 - 9*w - 4]', '[1801, 1801, -3*w^3 + w^2 + 9*w - 4]', '[1801, 1801, 2*w^3 - w^2 - 9*w - 3]', '[1817, 1817, 2*w^3 - 4*w^2 - 12*w + 15]', '[1817, 1817, -4*w^3 + 4*w^2 + 14*w - 13]', '[1817, 1817, 4*w^3 + 4*w^2 - 14*w - 13]', '[1817, 1817, -2*w^3 - 4*w^2 + 12*w + 15]', '[1822, 1822, 2*w^3 + 2*w^2 - 9*w - 3]', '[1822, 1822, -2*w^3 + 2*w^2 + 9*w - 3]', '[1823, 1823, -w^3 + 5*w^2 + 4*w - 17]', '[1823, 1823, -3*w^3 + 3*w^2 + 11*w - 6]', '[1823, 1823, 3*w^3 + 3*w^2 - 11*w - 6]', '[1823, 1823, w^3 + 5*w^2 - 4*w - 17]', '[1831, 1831, -2*w^3 - 2*w^2 + 8*w - 1]', '[1831, 1831, 2*w^3 - 2*w^2 - 8*w - 1]', '[1838, 1838, w^3 + 3*w^2 - 10*w - 16]', '[1838, 1838, -3*w^3 - 5*w^2 + 6*w + 12]', '[1841, 1841, -w^3 + 3*w + 7]', '[1841, 1841, -w^3 + 3*w - 7]', '[1847, 1847, 4*w^2 - 2*w - 17]', '[1847, 1847, 3*w^3 + w^2 - 10*w - 3]', '[1847, 1847, 3*w^3 - w^2 - 10*w + 3]', '[1847, 1847, 4*w^2 + 2*w - 17]', '[1852, 926, -3*w^3 + 9*w - 2]', '[1852, 926, 3*w^3 - 9*w - 2]', '[1854, 618, 2*w^3 - 7*w^2 - 11*w + 24]', '[1854, 618, -w^2 + w + 10]', '[1854, 618, 3*w^3 - 4*w^2 - 16*w + 13]', '[1854, 618, 5*w^3 + 4*w^2 - 20*w - 15]', '[1854, 618, -5*w^3 + 4*w^2 + 20*w - 15]', '[1854, 618, -3*w^3 - 4*w^2 + 16*w + 13]', '[1854, 618, -2*w^3 - 7*w^2 + 11*w + 24]', '[1854, 618, -w^2 - w + 10]', '[1858, 1858, 5*w^3 + 9*w^2 - 18*w - 30]', '[1858, 1858, 2*w^3 + w^2 - 17*w - 20]', '[1863, 69, -3*w^3 - 3*w^2 + 9*w + 12]', '[1863, 69, 3*w^3 - 3*w^2 - 9*w + 12]', '[1863, 207, 2*w^3 - 4*w + 5]', '[1863, 207, w^3 + w^2 - 6*w - 11]', '[1863, 207, w^3 - w^2 - 6*w + 11]', '[1863, 207, -2*w^3 + 4*w + 5]', '[1871, 1871, 3*w^2 - 4*w - 12]', '[1871, 1871, 3*w^2 + 4*w - 12]', '[1874, 1874, -6*w^3 - 11*w^2 + 15*w + 26]', '[1874, 1874, 5*w^2 - 5*w - 16]', '[1879, 1879, -2*w^3 + 2*w^2 + 8*w - 1]', '[1879, 1879, 5*w^2 - w - 13]', '[1879, 1879, 5*w^2 + w - 13]', '[1879, 1879, 2*w^3 + 2*w^2 - 8*w - 1]', '[1886, 1886, -3*w^3 + 8*w + 1]', '[1886, 1886, -w^3 - 2*w^2 - 2*w + 1]', '[1886, 1886, w^3 - 2*w^2 + 2*w + 1]', '[1886, 1886, 3*w^3 - 8*w + 1]', '[1889, 1889, 2*w^2 - 3*w - 12]', '[1889, 1889, 2*w^2 + 3*w - 12]', '[1897, 1897, -w^3 - 5*w^2 + 3*w + 14]', '[1897, 1897, 2*w^3 - 3*w^2 - 9*w + 7]', '[1897, 1897, 2*w^3 + 3*w^2 - 9*w - 7]', '[1897, 1897, -w^3 + 5*w^2 + 3*w - 14]', '[1904, 238, -2*w^3 - 2*w^2 + 8*w + 14]', '[1904, 238, -2*w^3 + 2*w^2 + 8*w - 14]', '[1906, 1906, -5*w^3 - 8*w^2 + 22*w + 29]', '[1906, 1906, 5*w^3 + 2*w^2 - 20*w - 17]', '[1906, 1906, 5*w^3 + 8*w^2 - 14*w - 17]', '[1906, 1906, -4*w^3 + 2*w^2 + 15*w - 5]', '[1912, 478, -3*w^3 - w^2 + 9*w + 1]', '[1912, 478, 3*w^3 - w^2 - 9*w + 1]', '[1913, 1913, 4*w^3 + 5*w^2 - 10*w - 10]', '[1913, 1913, -3*w^3 + w^2 + 14*w - 11]', '[1913, 1913, 3*w^3 + w^2 - 14*w - 11]', '[1913, 1913, -4*w^3 + 5*w^2 + 10*w - 10]', '[1918, 1918, 8*w^3 + 12*w^2 - 33*w - 49]', '[1918, 1918, -7*w^2 + w + 14]', '[1918, 1918, 7*w^2 + w - 14]', '[1918, 1918, 4*w^3 + 8*w^2 - 19*w - 35]', '[1922, 62, 4*w^3 + 4*w^2 - 11*w - 11]', '[1922, 62, 4*w^3 + 4*w^2 - 13*w - 13]', '[1928, 482, -w^3 - 5*w^2 + 3*w + 15]', '[1928, 482, w^3 - 5*w^2 - 3*w + 15]', '[1934, 1934, 3*w^3 - 10*w - 1]', '[1934, 1934, -3*w^3 + 10*w - 1]', '[1948, 974, -2*w^3 + 3*w^2 + 6*w - 13]', '[1948, 974, 2*w^3 + 3*w^2 - 6*w - 13]', '[1951, 1951, -w^3 + 4*w^2 + 7*w - 17]', '[1951, 1951, -4*w^3 - 7*w^2 + 16*w + 22]', '[1951, 1951, w^3 - 2*w^2 - 7*w - 1]', '[1951, 1951, w^3 + 4*w^2 - 7*w - 17]', '[1966, 1966, -w^2 - w - 4]', '[1966, 1966, -w^3 - 2*w^2 - 4*w - 3]', '[1966, 1966, -w^3 - 2*w - 3]', '[1966, 1966, 4*w^3 + 3*w^2 - 21*w - 24]', '[1982, 1982, -w^3 + 6*w^2 + 6*w - 17]', '[1982, 1982, w^3 + 6*w^2 - 6*w - 17]', '[1988, 994, -3*w^3 - 4*w^2 + 9*w + 14]', '[1988, 994, -w^3 - 2*w^2 + 9*w + 14]', '[1993, 1993, -4*w^3 - 8*w^2 + 18*w + 29]', '[1993, 1993, 3*w^3 + 7*w^2 - 9*w - 20]', '[1999, 1999, 3*w^2 - 5*w - 9]', '[1999, 1999, -w^3 - 4*w^2 - 6*w - 2]', '[2007, 669, 5*w^3 + 5*w^2 - 14*w - 15]', '[2007, 669, 3*w^3 - 7*w^2 - 2*w + 13]', '[2007, 669, -w^3 + 5*w^2 + 4*w - 15]', '[2007, 669, 2*w^3 - 7*w - 8]', '[2007, 669, -2*w^3 + 7*w - 8]', '[2007, 669, w^3 + 5*w^2 - 4*w - 15]', '[2007, 669, -5*w^3 + 5*w^2 + 14*w - 15]', '[2007, 669, -3*w^3 - 7*w^2 + 2*w + 13]', '[2009, 287, w^3 + w^2 - 7]', '[2009, 287, -2*w^3 + 3*w^2 + 5*w - 11]', '[2009, 287, -w^3 + w^2 - 7]', '[2009, 287, 2*w^3 + 3*w^2 - 5*w - 11]', '[2016, 84, -2*w^3 - 2*w^2 + 8*w]', '[2016, 84, -2*w^3 + 2*w^2 + 8*w]', '[2018, 2018, -w^3 + 5*w^2 + 4*w - 16]', '[2018, 2018, 2*w^3 + 6*w^2 - 9*w - 19]', '[2018, 2018, -4*w^3 - 8*w^2 + 13*w + 23]', '[2018, 2018, w^3 + 5*w^2 - 4*w - 16]', '[2023, 119, -3*w^3 + 10*w]', '[2023, 119, 3*w^3 - 8*w]', '[2023, 2023, -3*w^3 - w^2 + 13*w]', '[2023, 2023, 3*w^3 - w^2 - 13*w]', '[2032, 254, 2*w^3 + 6*w^2 - 8*w - 22]', '[2032, 254, -2*w^3 + 6*w^2 + 8*w - 22]', '[2039, 2039, -3*w^3 + w^2 + 9*w - 10]', '[2039, 2039, 3*w^3 + w^2 - 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8]', '[9902, 9902, 2*w^3 + 11*w^2 - 5*w - 22]', '[9902, 9902, -6*w^3 - 15*w^2 + 17*w + 34]', '[9913, 9913, -2*w^3 - 7*w^2 - w + 19]', '[9913, 9913, -2*w^3 + 3*w^2 - 3*w + 5]', '[9913, 9913, 2*w^3 + 3*w^2 + 3*w + 5]', '[9913, 9913, 2*w^3 - 7*w^2 + w + 19]', '[9927, 3309, -w^3 - 4*w - 4]', '[9927, 3309, -7*w^3 + 10*w^2 + 16*w - 18]', '[9927, 3309, w^3 + 4*w - 4]', '[9927, 3309, 7*w^3 + 10*w^2 - 16*w - 18]', '[9928, 2482, -5*w^3 - 3*w^2 + 17*w + 11]', '[9928, 2482, 7*w^3 + 9*w^2 - 19*w - 17]', '[9928, 2482, -7*w^3 + 9*w^2 + 19*w - 17]', '[9928, 2482, 5*w^3 - 3*w^2 - 17*w + 11]', '[9929, 9929, -w^3 - 4*w^2 - 3*w - 3]', '[9929, 9929, -4*w^3 - w^2 + 18*w + 18]', '[9934, 9934, -2*w^3 + w^2 + 13*w - 6]', '[9934, 9934, 2*w^3 + w^2 - 13*w - 6]', '[9938, 9938, -w^3 - w^2 - 4*w - 2]', '[9938, 9938, w^3 + w^2 - 14*w - 16]', '[9954, 3318, w^3 - w^2 - 6*w + 14]', '[9954, 3318, -w^3 - 9*w^2 + 8*w + 28]', '[9954, 3318, -w^3 + 9*w^2 + 8*w - 28]', '[9954, 3318, w^3 + w^2 - 6*w - 14]', '[9959, 9959, 2*w^3 + w^2 - 13*w - 1]', '[9959, 9959, -5*w^3 - 2*w^2 + 18*w + 6]', '[9959, 9959, 5*w^3 - 2*w^2 - 18*w + 6]', '[9959, 9959, -2*w^3 + w^2 + 13*w - 1]', '[9961, 9961, -12*w^3 - 18*w^2 + 53*w + 70]', '[9961, 9961, w^3 - 5*w^2 - 10*w + 7]', '[9967, 9967, 8*w^2 - 3*w - 22]', '[9967, 9967, 5*w^3 + 2*w^2 - 18*w - 8]', '[9967, 9967, -5*w^3 + 2*w^2 + 18*w - 8]', '[9967, 9967, 8*w^2 + 3*w - 22]', '[9968, 1246, 4*w^2 - 2*w]', '[9968, 1246, -4*w^2 - 2*w]', '[9986, 9986, 7*w^3 + 14*w^2 - 18*w - 29]', '[9986, 9986, 5*w^3 + w^2 - 18*w - 6]', '[9986, 9986, -5*w^3 + w^2 + 18*w - 6]', '[9986, 9986, 3*w^3 - 4*w^2 - 12*w - 1]', '[9991, 9991, 2*w^3 - 2*w^2 - 13*w + 6]', '[9991, 9991, -6*w^3 - 4*w^2 + 29*w + 32]', '[9991, 9991, 2*w^3 - 3*w^2 - 5*w + 23]', '[9991, 9991, -3*w^3 + 7*w^2 + 13*w - 18]', '[9991, 9991, 3*w^3 + 7*w^2 - 13*w - 18]', '[9991, 9991, -2*w^3 - 3*w^2 + 5*w + 23]', '[9991, 9991, -w^3 - 3*w^2 - 3]', '[9991, 9991, 2*w^3 + 2*w^2 - 13*w - 6]', '[9992, 2498, 5*w^3 + 9*w^2 - 13*w - 15]', '[9992, 2498, 7*w^3 + 3*w^2 - 31*w - 29]', '[9998, 9998, -w^3 - 7*w^2 - 6*w + 4]', '[9998, 9998, 3*w^3 + 9*w^2 - 14*w - 24]', '[10000, 10, -10]'], 'label': '4.4.7168.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w + 1]', '[7, 7, w]', '[9, 3, w^2 + w - 1]', '[9, 3, w^2 - w - 1]', '[17, 17, -w^3 + 3*w - 1]', '[17, 17, w^3 - 3*w - 1]', '[23, 23, -w^3 - w^2 + 3*w + 4]', '[23, 23, w^3 - w^2 - 3*w + 4]', '[41, 41, w^3 - w^2 - 2*w + 3]', '[41, 41, -w^3 - w^2 + 2*w + 3]', '[49, 7, w^2 - 6]', '[71, 71, w^3 + 3*w^2 - 3*w - 6]', '[71, 71, -2*w^2 - 2*w + 1]', '[73, 73, w^2 - 2*w - 2]', '[73, 73, w^2 + 2*w - 2]', '[79, 79, w^3 - w^2 - 5*w + 2]', '[79, 79, -w^3 - w^2 + 5*w + 2]', '[89, 89, 2*w - 1]', '[89, 89, -2*w - 1]', '[97, 97, -w^3 + w^2 + 4*w - 1]', '[97, 97, w^3 + w^2 - 4*w - 1]', '[103, 103, -2*w^3 + w^2 + 8*w - 2]', '[103, 103, w^3 - w^2 - 3*w + 6]', '[103, 103, -w^3 - w^2 + 3*w + 6]', '[103, 103, 2*w^3 + w^2 - 8*w - 2]', '[127, 127, w^3 + 3*w^2 - 4*w - 11]', '[127, 127, -w^3 + 3*w^2 + 4*w - 11]', '[137, 137, -w^3 - 3*w^2 + 2*w + 9]', '[137, 137, -2*w^2 + w + 10]', '[137, 137, -2*w^2 - w + 10]', '[137, 137, w^3 - 3*w^2 - 2*w + 9]', '[151, 151, 3*w^2 - 2*w - 10]', '[151, 151, w^3 + 3*w^2 - 4*w - 9]', '[167, 167, w^3 + 4*w^2 - 2*w - 8]', '[167, 167, 2*w^3 - 8*w - 3]', '[167, 167, 2*w^3 - 8*w + 3]', '[167, 167, 2*w^3 + 5*w^2 - 7*w - 13]', '[191, 191, -w^3 + 6*w - 2]', '[191, 191, w^3 - 6*w - 2]', '[193, 193, -2*w^3 + 2*w^2 + 6*w - 5]', '[193, 193, w^3 + 2*w^2 - 4*w - 4]', '[193, 193, -w^3 + 2*w^2 + 4*w - 4]', '[193, 193, -2*w^3 - 2*w^2 + 6*w + 5]', '[199, 199, 2*w^2 - 3*w - 6]', '[199, 199, w^3 + w^2 + w + 2]', '[199, 199, 2*w^3 + 2*w^2 - 4*w - 5]', '[199, 199, 2*w^2 + 3*w - 6]', '[223, 223, 2*w^3 + w^2 - 6*w - 6]', '[223, 223, w^3 - w^2 - 5*w - 2]', '[223, 223, 2*w^3 + 4*w^2 - 6*w - 9]', '[223, 223, -2*w^3 + w^2 + 6*w - 6]', '[239, 239, -2*w^3 - 5*w^2 + 5*w + 11]', '[239, 239, w^3 + 4*w^2 - 4*w - 10]', '[241, 241, -3*w^3 - 4*w^2 + 9*w + 11]', '[241, 241, -2*w^3 - w^2 + 6*w + 4]', '[257, 257, 2*w^3 + 5*w^2 - 6*w - 12]', '[257, 257, -w^3 - 4*w^2 + 3*w + 9]', '[263, 263, -w^3 - w^2 + 6*w + 3]', '[263, 263, w^3 - w^2 - 6*w + 3]', '[271, 271, -2*w^3 - w^2 + 7*w + 3]', '[271, 271, -w^3 + 2*w^2 + 3*w - 9]', '[271, 271, w^3 + 2*w^2 - 3*w - 9]', '[271, 271, 2*w^3 - w^2 - 7*w + 3]', '[289, 17, 3*w^2 - 8]', '[313, 313, -w^3 + 2*w^2 - 6]', '[313, 313, w^3 + 2*w^2 - 6]', '[353, 353, -w^3 + 3*w - 5]', '[353, 353, w^3 - 3*w - 5]', '[359, 359, w^3 - w + 3]', '[359, 359, 4*w^3 + 5*w^2 - 14*w - 18]', '[361, 19, -w^3 + 2*w^2 + 4*w - 2]', '[361, 19, w^3 + 2*w^2 - 4*w - 2]', '[367, 367, -2*w^3 - 3*w^2 + 6*w + 10]', '[367, 367, -3*w - 2]', '[367, 367, 3*w - 2]', '[367, 367, w^3 + 2*w^2 - 7*w - 11]', '[401, 401, -2*w^3 + 6*w - 1]', '[401, 401, -3*w^3 + 3*w^2 + 11*w - 10]', '[401, 401, 3*w^3 + 3*w^2 - 11*w - 10]', '[401, 401, 2*w^3 - 6*w - 1]', '[409, 409, w^3 - 3*w^2 - 6*w + 13]', '[409, 409, -w^3 - 3*w^2 + 6*w + 13]', '[431, 431, w^3 - 4*w^2 - 2*w + 10]', '[431, 431, -w^3 - 4*w^2 + 2*w + 10]', '[433, 433, w^3 - w^2 - 6*w - 3]', '[433, 433, 2*w^3 + 4*w^2 - 7*w - 10]', '[463, 463, w^2 + 3*w - 3]', '[463, 463, w^2 - 3*w - 3]', '[487, 487, 2*w^2 + 2*w - 9]', '[487, 487, 2*w^2 - 2*w - 9]', '[521, 521, -w^3 - 4*w^2 + 5*w + 13]', '[521, 521, w^3 - 4*w^2 - 5*w + 13]', '[529, 23, -w^2 - 2]', '[577, 577, w^3 + 2*w^2 - 2*w - 8]', '[577, 577, -w^3 + 2*w^2 + 2*w - 8]', '[593, 593, -2*w^3 - 3*w^2 + 5*w + 9]', '[593, 593, w^3 + 2*w^2 - 8*w - 12]', '[599, 599, w^3 + 2*w^2 - 5*w - 3]', '[599, 599, -w^3 + 2*w^2 + 5*w - 3]', '[601, 601, -w^3 + 4*w^2 + 4*w - 8]', '[601, 601, w^3 + 4*w^2 - 4*w - 8]', '[607, 607, -w^3 + 8*w + 6]', '[607, 607, -3*w^3 - 5*w^2 + 7*w + 12]', '[607, 607, 2*w^2 - 4*w - 9]', '[607, 607, -2*w^3 - 3*w^2 + 11*w + 13]', '[617, 617, 3*w^3 + 2*w^2 - 11*w - 9]', '[617, 617, -2*w^3 + w^2 + 9*w - 1]', '[617, 617, 2*w^3 + w^2 - 9*w - 1]', '[617, 617, 3*w^3 - 12*w - 4]', '[625, 5, -5]', '[631, 631, w^3 - w^2 - 7*w - 4]', '[631, 631, 2*w^3 + 4*w^2 - 8*w - 11]', '[641, 641, -2*w^3 + 3*w^2 + 9*w - 9]', '[641, 641, w^3 - 2*w^2 - 7*w + 5]', '[641, 641, w^3 + 2*w^2 - 7*w - 5]', '[641, 641, 2*w^3 + 3*w^2 - 9*w - 9]', '[647, 647, -w^3 + 3*w^2 - 1]', '[647, 647, 2*w^3 - 3*w^2 - 8*w + 8]', '[647, 647, -2*w^3 - 3*w^2 + 8*w + 8]', '[647, 647, w^3 + 3*w^2 - 1]', '[727, 727, -3*w^3 - 2*w^2 + 11*w + 3]', '[727, 727, -2*w^3 + 5*w^2 + 9*w - 17]', '[727, 727, 2*w^3 + 5*w^2 - 9*w - 17]', '[727, 727, 3*w^3 - 2*w^2 - 11*w + 3]', '[743, 743, 3*w^2 - 2*w - 12]', '[743, 743, 3*w^2 + 2*w - 12]', '[751, 751, 2*w^3 - 2*w^2 - 6*w + 9]', '[751, 751, -2*w^3 - 2*w^2 + 6*w + 9]', '[761, 761, -3*w^3 + 5*w^2 + 6*w - 11]', '[761, 761, 3*w^3 + 5*w^2 - 6*w - 11]', '[769, 769, w^3 - 7*w - 3]', '[769, 769, -w^3 + 7*w - 3]', '[823, 823, w^3 + 2*w^2 - 5*w - 1]', '[823, 823, w^3 - 2*w^2 - 5*w + 1]', '[839, 839, 4*w^2 + w - 12]', '[839, 839, -3*w^3 + w^2 + 13*w - 8]', '[839, 839, 3*w^3 + w^2 - 13*w - 8]', '[839, 839, 4*w^2 - w - 12]', '[841, 29, 2*w^3 + 4*w^2 - 7*w - 16]', '[841, 29, -2*w^3 + 4*w^2 + 7*w - 16]', '[857, 857, 3*w^2 - 3*w - 11]', '[857, 857, 3*w^2 + 3*w - 11]', '[863, 863, w^3 + 3*w^2 - 5*w - 6]', '[863, 863, -w^3 + 3*w^2 + 5*w - 6]', '[881, 881, w^3 - w^2 - 5*w - 4]', '[881, 881, 2*w^2 + 4*w + 3]', '[887, 887, w^2 - w - 9]', '[887, 887, 3*w^3 + 4*w^2 - 11*w - 11]', '[887, 887, -3*w^3 + 4*w^2 + 11*w - 11]', '[887, 887, w^2 + w - 9]', '[911, 911, w^2 - 4*w - 8]', '[911, 911, -3*w^3 - 4*w^2 + 9*w + 13]', '[919, 919, 2*w^3 - w^2 - 8*w - 2]', '[919, 919, -2*w^3 - w^2 + 8*w - 2]', '[929, 929, 4*w^3 + w^2 - 16*w - 2]', '[929, 929, 2*w^3 - 11*w - 6]', '[937, 937, 3*w^3 - 3*w^2 - 10*w + 5]', '[937, 937, -3*w^3 - 3*w^2 + 10*w + 5]', '[953, 953, w^3 - 9*w - 11]', '[953, 953, 5*w^2 + 3*w - 17]', '[953, 953, 5*w^2 - 3*w - 17]', '[953, 953, -2*w^3 - w^2 + 8*w + 10]', '[961, 31, 4*w^2 - 11]', '[961, 31, 4*w^2 - 13]', '[967, 967, w^3 - w^2 - 6*w - 5]', '[967, 967, 2*w^2 + 3*w + 2]', '[983, 983, -w^2 + w - 3]', '[983, 983, 2*w^3 - 2*w^2 - 11*w + 10]', '[983, 983, 2*w^3 + 2*w^2 - 11*w - 10]', '[983, 983, -w^2 - w - 3]', '[991, 991, w^3 + 3*w^2 - 10*w - 15]', '[991, 991, -2*w^3 - 4*w^2 + w + 6]']}
91. label: 4.4.7225.1
    {'degree': 4, 'discriminant': 7225, 'ideals': ['[1, 1, 1]', '[4, 2, 1/6*w^3 - 7/3*w - 3/2]', '[4, 2, 1/6*w^3 - 7/3*w + 3/2]', '[9, 3, -1/3*w^3 + 11/3*w]', '[9, 3, w]', '[16, 2, 2]', '[16, 4, 1/6*w^3 - 7/3*w + 1/2]', '[16, 4, 1/6*w^3 - 7/3*w - 1/2]', '[19, 19, w + 2]', '[19, 19, -1/3*w^3 + 11/3*w - 2]', '[19, 19, -1/3*w^3 + 11/3*w + 2]', '[19, 19, -w + 2]', '[25, 5, 1/3*w^3 - 8/3*w]', '[36, 6, 1/2*w^2 - 1/2*w - 9/2]', '[36, 6, -1/2*w^2 - 1/2*w + 9/2]', '[36, 6, -1/6*w^3 + 1/3*w - 3/2]', '[36, 6, -1/6*w^3 + 1/3*w + 3/2]', '[49, 7, 2/3*w^3 - 19/3*w]', '[49, 7, -1/3*w^3 + 5/3*w]', '[59, 59, 1/6*w^3 + 1/2*w^2 - 11/6*w]', '[59, 59, 1/2*w^2 + 1/2*w - 11/2]', '[59, 59, 1/2*w^2 - 1/2*w - 11/2]', '[59, 59, 1/6*w^3 - 1/2*w^2 - 11/6*w]', '[64, 4, 1/3*w^3 - 14/3*w - 3]', '[64, 4, 1/3*w^3 - 14/3*w + 3]', '[64, 8, 1/6*w^3 - 7/3*w + 7/2]', '[64, 8, -1/6*w^3 + 7/3*w + 7/2]', '[76, 38, 1/3*w^3 - 1/2*w^2 - 19/6*w + 3/2]', '[76, 38, 1/3*w^3 - 1/2*w^2 - 13/6*w + 7/2]', '[76, 38, -1/2*w^3 - 1/2*w^2 + 9/2*w + 2]', '[76, 38, 1/6*w^3 + 1/2*w^2 - 5/6*w - 4]', '[76, 38, -1/2*w^3 + 1/2*w^2 + 9/2*w - 2]', '[76, 38, -1/6*w^3 + 1/2*w^2 + 5/6*w - 4]', '[76, 38, 1/3*w^3 + 1/2*w^2 - 19/6*w - 3/2]', '[76, 38, -1/3*w^3 - 1/2*w^2 + 13/6*w + 7/2]', '[81, 3, 3]', '[81, 9, w^2 - 2]', '[81, 9, w^2 - 9]', '[89, 89, 2/3*w^3 + 1/2*w^2 - 35/6*w - 7/2]', '[89, 89, -5/6*w^3 + 26/3*w - 3/2]', '[89, 89, 1/6*w^3 - 1/2*w^2 + 1/6*w - 2]', '[89, 89, -1/6*w^3 - w^2 + 7/3*w + 5/2]', '[100, 10, -1/2*w^3 - w^2 + 4*w + 11/2]', '[100, 10, 1/2*w^3 - w^2 - 4*w + 11/2]', '[101, 101, 1/6*w^3 + 1/2*w^2 - 17/6*w + 1]', '[101, 101, -1/3*w^3 - 1/2*w^2 + 25/6*w + 13/2]', '[101, 101, -1/3*w^3 + 1/2*w^2 + 25/6*w - 13/2]', '[101, 101, 1/6*w^3 - 1/2*w^2 - 17/6*w - 1]', '[121, 11, 1/2*w^3 - 4*w - 1/2]', '[121, 11, -1/2*w^3 + 4*w - 1/2]', '[144, 6, -2/3*w^3 + 22/3*w]', '[144, 6, 2*w]', '[144, 12, -1/2*w^2 + 1/2*w - 3/2]', '[144, 12, -1/2*w^2 - 1/2*w - 3/2]', '[144, 12, -1/6*w^3 + 1/2*w^2 + 11/6*w - 7]', '[144, 12, 1/6*w^3 + 1/2*w^2 - 11/6*w - 7]', '[149, 149, 1/6*w^3 + 1/2*w^2 - 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5/2*w^2 + 55/2*w + 37/2]', '[9949, 9949, 11/6*w^3 - 5/2*w^2 - 67/6*w + 9]', '[9949, 9949, 11/6*w^3 + 5/2*w^2 - 67/6*w - 9]', '[9949, 9949, -3*w^3 + 5/2*w^2 + 55/2*w - 37/2]', '[9971, 767, 3/2*w^3 + w^2 - 19*w + 1/2]', '[9971, 767, -5/2*w^3 + 22*w - 17/2]', '[9971, 767, -2/3*w^3 + 3*w^2 + 10/3*w - 21]', '[9971, 767, 5/6*w^3 - w^2 - 41/3*w + 23/2]', '[9971, 767, 2/3*w^3 + 3*w^2 - 10/3*w - 21]', '[9971, 767, -7/3*w^3 + 3/2*w^2 + 139/6*w - 19/2]', '[9971, 767, 4/3*w^3 + 3*w^2 - 35/3*w - 22]', '[9971, 767, 4/3*w^3 + 3*w^2 - 38/3*w - 12]', '[9981, 3327, w^3 + 3/2*w^2 - 27/2*w - 3/2]', '[9981, 3327, 9/2*w^3 + 1/2*w^2 - 93/2*w - 1]', '[9981, 3327, w^3 - 2*w^2 - 3*w - 6]', '[9981, 3327, 13/6*w^3 + 3*w^2 - 67/3*w - 69/2]', '[9981, 3327, w^3 + 2*w^2 - 8*w - 28]', '[9981, 3327, 1/2*w^3 - 1/2*w^2 - 13/2*w - 9]', '[9981, 3327, 9/2*w^3 - 1/2*w^2 - 93/2*w + 1]', '[9981, 3327, w^3 - 3/2*w^2 - 27/2*w + 3/2]', '[10000, 10, 10]', '[10000, 20, 5/6*w^3 - 35/3*w + 5/2]', '[10000, 20, 5/6*w^3 - 35/3*w - 5/2]'], 'label': '4.4.7225.1', 'narrow_class_no': 1, 'primes': ['[4, 2, 1/6*w^3 - 7/3*w - 3/2]', '[4, 2, 1/6*w^3 - 7/3*w + 3/2]', '[9, 3, -1/3*w^3 + 11/3*w]', '[9, 3, w]', '[19, 19, w + 2]', '[19, 19, -1/3*w^3 + 11/3*w - 2]', '[19, 19, -1/3*w^3 + 11/3*w + 2]', '[19, 19, -w + 2]', '[25, 5, 1/3*w^3 - 8/3*w]', '[49, 7, 2/3*w^3 - 19/3*w]', '[49, 7, -1/3*w^3 + 5/3*w]', '[59, 59, 1/6*w^3 + 1/2*w^2 - 11/6*w]', '[59, 59, 1/2*w^2 + 1/2*w - 11/2]', '[59, 59, 1/2*w^2 - 1/2*w - 11/2]', '[59, 59, 1/6*w^3 - 1/2*w^2 - 11/6*w]', '[89, 89, 2/3*w^3 + 1/2*w^2 - 35/6*w - 7/2]', '[89, 89, -5/6*w^3 + 26/3*w - 3/2]', '[89, 89, 1/6*w^3 - 1/2*w^2 + 1/6*w - 2]', '[89, 89, -1/6*w^3 - w^2 + 7/3*w + 5/2]', '[101, 101, 1/6*w^3 + 1/2*w^2 - 17/6*w + 1]', '[101, 101, -1/3*w^3 - 1/2*w^2 + 25/6*w + 13/2]', '[101, 101, -1/3*w^3 + 1/2*w^2 + 25/6*w - 13/2]', '[101, 101, 1/6*w^3 - 1/2*w^2 - 17/6*w - 1]', '[121, 11, 1/2*w^3 - 4*w - 1/2]', '[121, 11, -1/2*w^3 + 4*w - 1/2]', '[149, 149, 1/6*w^3 + 1/2*w^2 - 5/6*w - 5]', '[149, 149, -1/3*w^3 + 1/2*w^2 + 19/6*w - 1/2]', '[149, 149, 1/3*w^3 + 1/2*w^2 - 19/6*w - 1/2]', '[149, 149, -1/6*w^3 + 1/2*w^2 + 5/6*w - 5]', '[151, 151, -5/6*w^3 - 1/2*w^2 + 49/6*w + 3]', '[151, 151, 1/3*w^3 + w^2 - 8/3*w - 7]', '[151, 151, 1/2*w^3 + 1/2*w^2 - 13/2*w - 1]', '[151, 151, 5/6*w^3 - 1/2*w^2 - 49/6*w + 3]', '[169, 13, -1/3*w^3 + 14/3*w + 2]', '[169, 13, -1/3*w^3 + 14/3*w - 2]', '[179, 179, -1/3*w^3 + 17/3*w - 6]', '[179, 179, -2/3*w^3 + 25/3*w + 6]', '[179, 179, -2/3*w^3 + 25/3*w - 6]', '[179, 179, -1/3*w^3 + 17/3*w + 6]', '[191, 191, 1/2*w^3 + 1/2*w^2 - 9/2*w - 1]', '[191, 191, 1/3*w^3 + 1/2*w^2 - 13/6*w - 9/2]', '[191, 191, -1/3*w^3 + 1/2*w^2 + 13/6*w - 9/2]', '[191, 191, -1/2*w^3 + 1/2*w^2 + 9/2*w - 1]', '[229, 229, 5/6*w^3 - 1/2*w^2 - 43/6*w + 2]', '[229, 229, -2/3*w^3 - 1/2*w^2 + 29/6*w + 7/2]', '[229, 229, 2/3*w^3 - 1/2*w^2 - 29/6*w + 7/2]', '[229, 229, 5/6*w^3 + 1/2*w^2 - 43/6*w - 2]', '[239, 239, -1/3*w^3 + w^2 + 11/3*w - 7]', '[239, 239, 1/6*w^3 + w^2 - 7/3*w - 9/2]', '[239, 239, w^2 - w - 4]', '[239, 239, -1/3*w^3 - w^2 + 11/3*w + 7]', '[251, 251, 1/3*w^3 + w^2 - 8/3*w - 5]', '[251, 251, 1/3*w^3 + w^2 - 8/3*w - 6]', '[251, 251, -1/3*w^3 + w^2 + 8/3*w - 6]', '[251, 251, -1/3*w^3 + w^2 + 8/3*w - 5]', '[271, 271, 1/6*w^3 + w^2 - 7/3*w - 19/2]', '[271, 271, 2/3*w^3 - 3/2*w^2 - 29/6*w + 17/2]', '[271, 271, -w^3 + w^2 + 8*w - 4]', '[271, 271, w^3 - 10*w - 2]', '[281, 281, 5/6*w^3 - 1/2*w^2 - 37/6*w + 5]', '[281, 281, -1/6*w^3 - 2/3*w - 5/2]', '[281, 281, 1/3*w^3 + 1/2*w^2 - 25/6*w - 17/2]', '[281, 281, 5/6*w^3 - 26/3*w + 5/2]', '[289, 17, 1/6*w^3 + w^2 - 7/3*w - 11/2]', '[331, 331, -5/6*w^3 + 32/3*w + 17/2]', '[331, 331, -2*w + 5]', '[331, 331, -2*w - 5]', '[331, 331, -2/3*w^3 + 22/3*w + 5]', '[349, 349, 5/6*w^3 - 1/2*w^2 - 43/6*w]', '[349, 349, w^3 - 11*w + 2]', '[349, 349, 1/3*w^3 - w^2 - 2/3*w + 4]', '[349, 349, -5/6*w^3 - 1/2*w^2 + 43/6*w]', '[359, 359, -w - 5]', '[359, 359, -1/3*w^3 + 11/3*w - 5]', '[359, 359, 1/3*w^3 - 11/3*w - 5]', '[359, 359, w - 5]', '[389, 389, -w^3 - 1/2*w^2 + 21/2*w + 5/2]', '[389, 389, -7/6*w^3 + w^2 + 31/3*w - 13/2]', '[389, 389, 7/6*w^3 + w^2 - 31/3*w - 13/2]', '[389, 389, 5/6*w^3 - w^2 - 17/3*w + 9/2]', '[409, 409, -3/2*w^3 - 3/2*w^2 + 27/2*w + 11]', '[409, 409, 1/3*w^3 + w^2 - 8/3*w - 11]', '[409, 409, -2/3*w^3 + 25/3*w + 8]', '[409, 409, -3/2*w^3 + 3/2*w^2 + 27/2*w - 11]', '[421, 421, 1/6*w^3 + 1/2*w^2 + 1/6*w - 4]', '[421, 421, 1/3*w^3 + 1/2*w^2 - 13/6*w - 13/2]', '[421, 421, -1/3*w^3 + 1/2*w^2 + 13/6*w - 13/2]', '[421, 421, 1/2*w^3 + 1/2*w^2 - 9/2*w + 1]', '[461, 461, 2/3*w^3 - 1/2*w^2 - 23/6*w - 1/2]', '[461, 461, 1/6*w^3 - 1/2*w^2 - 11/6*w + 8]', '[461, 461, -1/6*w^3 - 1/2*w^2 + 11/6*w + 8]', '[461, 461, 2/3*w^3 - 13/3*w - 2]', '[491, 491, 7/6*w^3 + 2*w^2 - 28/3*w - 21/2]', '[491, 491, 1/6*w^3 - 10/3*w - 13/2]', '[491, 491, 7/6*w^3 + 2*w^2 - 28/3*w - 23/2]', '[491, 491, -7/6*w^3 + 2*w^2 + 28/3*w - 21/2]', '[509, 509, 1/2*w^3 - w^2 - 5*w + 7/2]', '[509, 509, -2/3*w^3 + w^2 + 25/3*w - 4]', '[509, 509, -5/6*w^3 + 26/3*w - 7/2]', '[509, 509, 1/3*w^3 + w^2 - 17/3*w - 7]', '[529, 23, -2/3*w^3 + 1/2*w^2 + 53/6*w - 19/2]', '[529, 23, 7/6*w^3 - 3/2*w^2 - 59/6*w + 11]', '[569, 569, w^3 - w^2 - 9*w + 5]', '[569, 569, 2/3*w^3 - w^2 - 13/3*w + 6]', '[569, 569, 2/3*w^3 + w^2 - 13/3*w - 6]', '[569, 569, w^3 + w^2 - 9*w - 5]', '[599, 599, 2/3*w^3 - 1/2*w^2 - 23/6*w + 3/2]', '[599, 599, -7/6*w^3 + 1/2*w^2 + 65/6*w - 4]', '[599, 599, -7/6*w^3 - 1/2*w^2 + 65/6*w + 4]', '[599, 599, 2/3*w^3 + 1/2*w^2 - 23/6*w - 3/2]', '[631, 631, 7/6*w^3 + 2*w^2 - 22/3*w - 17/2]', '[631, 631, 7/6*w^3 + w^2 - 31/3*w - 9/2]', '[631, 631, -7/6*w^3 + w^2 + 31/3*w - 9/2]', '[631, 631, -w^3 + 11*w - 1]', '[659, 659, w^3 - 9*w - 1]', '[659, 659, 2/3*w^3 - 13/3*w - 1]', '[659, 659, -2/3*w^3 + 13/3*w - 1]', '[659, 659, 1/3*w^3 + 1/2*w^2 - 19/6*w - 17/2]', '[661, 661, -1/6*w^3 - 1/2*w^2 + 35/6*w - 6]', '[661, 661, w^3 + 3/2*w^2 - 17/2*w - 23/2]', '[661, 661, -5/3*w^3 + w^2 + 52/3*w - 14]', '[661, 661, -1/2*w^3 + 1/2*w^2 + 15/2*w - 8]', '[701, 701, -2/3*w^3 + w^2 + 19/3*w - 4]', '[701, 701, 5/6*w^3 - 26/3*w + 9/2]', '[701, 701, -5/6*w^3 + 26/3*w + 9/2]', '[701, 701, 2/3*w^3 + w^2 - 19/3*w - 4]', '[739, 739, 1/3*w^3 - 17/3*w - 3]', '[739, 739, 2/3*w^3 - 25/3*w + 3]', '[739, 739, 2/3*w^3 - 25/3*w - 3]', '[739, 739, -1/3*w^3 + 17/3*w - 3]', '[761, 761, -1/2*w^3 + w^2 + 3*w - 13/2]', '[761, 761, 5/6*w^3 - w^2 - 23/3*w + 9/2]', '[761, 761, 5/6*w^3 + w^2 - 23/3*w - 9/2]', '[761, 761, 1/2*w^3 + w^2 - 3*w - 13/2]', '[769, 769, 2/3*w^3 + 1/2*w^2 - 35/6*w + 5/2]', '[769, 769, 1/2*w^3 + 1/2*w^2 - 7/2*w - 8]', '[769, 769, -1/2*w^3 + 1/2*w^2 + 7/2*w - 8]', '[769, 769, 2/3*w^3 - 1/2*w^2 - 35/6*w - 5/2]', '[829, 829, w^2 + w - 10]', '[829, 829, 1/3*w^3 + w^2 - 11/3*w - 1]', '[829, 829, -1/3*w^3 + w^2 + 11/3*w - 1]', '[829, 829, w^2 - w - 10]', '[841, 29, 5/6*w^3 - 20/3*w - 3/2]', '[841, 29, 5/6*w^3 - 20/3*w + 3/2]', '[859, 859, 1/6*w^3 + 1/2*w^2 - 23/6*w - 6]', '[859, 859, -2/3*w^3 - 1/2*w^2 + 47/6*w - 1/2]', '[859, 859, -2/3*w^3 + 1/2*w^2 + 47/6*w + 1/2]', '[859, 859, -1/6*w^3 + 1/2*w^2 + 23/6*w - 6]', '[919, 919, 1/2*w^3 + w^2 - 5*w - 5/2]', '[919, 919, 1/6*w^3 + w^2 - 1/3*w - 17/2]', '[919, 919, -1/6*w^3 + w^2 + 1/3*w - 17/2]', '[919, 919, -1/2*w^3 + w^2 + 5*w - 5/2]', '[961, 31, 1/3*w^3 - 8/3*w - 6]', '[961, 31, 5/6*w^3 - 20/3*w - 1/2]', '[971, 971, 1/2*w^3 + 3/2*w^2 - 7/2*w - 8]', '[971, 971, 2/3*w^3 - 3/2*w^2 - 35/6*w + 17/2]', '[971, 971, 1/3*w^3 - 1/2*w^2 - 37/6*w - 3/2]', '[971, 971, 1/2*w^3 - 3/2*w^2 - 7/2*w + 8]']}
92. label: 4.4.7232.1
    {'degree': 4, 'discriminant': 7232, 'ideals': ['[1, 1, 1]', '[2, 2, 1/2*w^3 - w^2 - 5/2*w + 3]', '[2, 2, -w - 1]', '[4, 2, w]', '[4, 2, -1/2*w^3 + w^2 + 3/2*w - 1]', '[4, 2, -1/2*w^3 + w^2 + 5/2*w - 2]', '[8, 2, -w^3 + 3*w^2 + 2*w - 6]', '[8, 2, 1/2*w^3 - 5/2*w - 1]', '[8, 4, w - 2]', '[8, 4, 1/2*w^3 - w^2 - 5/2*w]', '[16, 2, 2]', '[16, 4, w^2 - 2*w - 4]', '[16, 4, -w^2 + w + 2]', '[16, 4, -w^2 + 2*w + 1]', '[16, 4, 1/2*w^3 - 2*w^2 - 1/2*w + 5]', '[17, 17, w^2 - w - 5]', '[17, 17, -1/2*w^3 + 2*w^2 + 1/2*w - 2]', '[23, 23, 1/2*w^3 - 2*w^2 - 1/2*w + 4]', '[23, 23, -w^2 + w + 3]', '[32, 4, w^3 - 3*w^2 - 2*w + 4]', '[32, 4, w^3 - 2*w^2 - 5*w + 6]', '[32, 4, 1/2*w^3 - 5/2*w - 3]', '[32, 4, -2*w - 2]', '[32, 8, w^2 - 2*w]', '[32, 8, w^2 - 2*w - 5]', '[34, 34, 1/2*w^3 - 2*w^2 + 1/2*w + 4]', '[34, 34, -w^3 + 2*w^2 + 4*w - 1]', '[34, 34, -1/2*w^3 + w^2 + 1/2*w + 1]', '[34, 34, -1/2*w^3 + 7/2*w + 1]', '[41, 41, -w^3 + 3*w^2 + 2*w - 7]', '[41, 41, 1/2*w^3 - 5/2*w]', '[41, 41, 1/2*w^3 - w^2 - 7/2*w + 4]', '[41, 41, 1/2*w^3 - w^2 - 7/2*w]', '[46, 46, 1/2*w^3 - 3/2*w - 2]', '[46, 46, 3/2*w^3 - 4*w^2 - 9/2*w + 7]', '[46, 46, -1/2*w^3 + 7/2*w + 5]', '[46, 46, 1/2*w^3 - 2*w^2 + 1/2*w]', '[47, 47, 3/2*w^3 - 4*w^2 - 7/2*w + 6]', '[47, 47, w^3 - w^2 - 4*w - 1]', '[49, 7, w^3 - 2*w^2 - 3*w + 1]', '[49, 7, 1/2*w^3 - w^2 - 3/2*w - 2]', '[64, 4, 2*w]', '[64, 4, -w^3 + 2*w^2 + 3*w - 2]', '[64, 4, -w^3 + 2*w^2 + 5*w - 4]', '[64, 8, -w^2 + 4]', '[64, 8, w^3 - 3*w^2 - 3*w + 5]', '[64, 8, w^3 - w^2 - 6*w]', '[64, 8, 1/2*w^3 - 2*w^2 + 3/2*w + 3]', '[68, 34, 1/2*w^3 - w^2 - 5/2*w - 2]', '[68, 34, 3/2*w^3 - 3*w^2 - 13/2*w + 3]', '[68, 34, w^3 - 3*w^2 - w + 5]', '[68, 34, w^3 - w^2 - 5*w]', '[68, 34, -1/2*w^3 + w^2 - 1/2*w + 1]', '[68, 34, w - 4]', '[71, 71, 5/2*w^3 - 6*w^2 - 17/2*w + 12]', '[71, 71, 2*w^2 - 4*w - 7]', '[73, 73, -w^3 + 2*w^2 + 5*w - 3]', '[73, 73, 2*w - 1]', '[79, 79, 3/2*w^3 - 4*w^2 - 11/2*w + 12]', '[79, 79, -w^2 - w - 1]', '[81, 3, -3]', '[82, 82, w + 3]', '[82, 82, 2*w^3 - 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6*w - 7]', '[1916, 958, -7/2*w^3 + w^2 + 27/2*w + 8]', '[1916, 958, -5/2*w^3 + 7*w^2 + 11/2*w - 7]', '[1916, 958, -w^3 + 4*w^2 - 6*w + 2]', '[1916, 958, 9/2*w^3 - 13*w^2 - 15/2*w + 19]', '[1916, 958, -1/2*w^3 - 3*w^2 + 1/2*w]', '[1916, 958, -3*w^2 + 6*w + 2]', '[1921, 1921, -2*w^3 + 5*w^2 + w - 7]', '[1921, 1921, 8*w^3 - 18*w^2 - 30*w + 33]', '[1921, 1921, 3/2*w^3 - 3*w^2 - 13/2*w + 12]', '[1921, 1921, -3*w^3 + 13*w^2 + 2*w - 43]', '[1921, 1921, -7/2*w^3 + 6*w^2 + 31/2*w - 8]', '[1921, 1921, -3/2*w^3 + 2*w^2 + 19/2*w - 8]', '[1922, 62, -9/2*w^3 + 13*w^2 + 21/2*w - 27]', '[1922, 62, 7/2*w^3 - 11*w^2 - 11/2*w + 21]', '[1922, 62, -2*w^3 + 11*w + 5]', '[1922, 62, 2*w^3 - 9*w - 3]', '[1927, 1927, 2*w^3 - 6*w^2 - 2*w + 11]', '[1927, 1927, 2*w^3 - 2*w^2 - 12*w + 1]', '[1927, 1927, 2*w^3 - 9*w^2 + 3*w + 9]', '[1927, 1927, 1/2*w^3 - 4*w^2 + 3/2*w + 8]', '[1927, 1927, 3/2*w^3 + 2*w^2 - 27/2*w - 18]', '[1927, 1927, w^3 - 5*w^2 + 13]', '[1927, 1927, -2*w^3 + 2*w^2 + 10*w - 1]', '[1927, 1927, w^3 - 4*w^2 + 3*w + 7]', '[1934, 1934, 5/2*w^3 - 4*w^2 - 19/2*w + 2]', '[1934, 1934, 3/2*w^3 - 5*w^2 - 11/2*w + 7]', '[1934, 1934, -3/2*w^3 + 3*w^2 + 3/2*w - 7]', '[1934, 1934, -2*w^3 + 4*w^2 + 11*w - 11]', '[1934, 1934, 1/2*w^3 - w^2 - 13/2*w - 1]', '[1934, 1934, 3*w^3 - 6*w^2 - 12*w + 13]', '[1934, 1934, -w^3 + 4*w^2 + 4*w - 13]', '[1934, 1934, -5/2*w^3 + 6*w^2 + 11/2*w - 7]', '[1936, 22, -3*w^3 + 8*w^2 + 7*w - 8]', '[1936, 22, 2*w^3 - 2*w^2 - 8*w - 6]', '[1936, 44, -2*w^3 + w^2 + 16*w + 11]', '[1936, 44, -3*w^2 + 7*w + 2]', '[1936, 44, 3*w^2 - 10*w + 4]', '[1936, 44, w^3 + w^2 - 7*w - 15]', '[1936, 44, -2*w^3 + 7*w^2 + 2*w - 4]', '[1936, 44, 6*w^3 - 17*w^2 - 13*w + 26]', '[1936, 44, 1/2*w^3 + 2*w^2 - 17/2*w - 11]', '[1936, 44, -7/2*w^3 + 2*w^2 + 31/2*w + 9]', '[1948, 974, -3*w^3 + 10*w^2 + 6*w - 18]', '[1948, 974, -3*w^3 + 3*w^2 + 19*w + 7]', '[1948, 974, -7/2*w^3 + 3*w^2 + 33/2*w + 7]', '[1948, 974, -9/2*w^3 + 11*w^2 + 35/2*w - 31]', '[1948, 974, 5/2*w^3 - w^2 - 13/2*w]', '[1948, 974, w^3 - 3*w^2 - 5*w + 16]', '[1954, 1954, 5/2*w^3 - 2*w^2 - 19/2*w - 2]', '[1954, 1954, 2*w^2 + 3*w + 3]', '[1954, 1954, -7/2*w^3 + 9*w^2 + 27/2*w - 27]', '[1954, 1954, -9/2*w^3 + 12*w^2 + 23/2*w - 21]', '[1966, 1966, -11/2*w^3 + 15*w^2 + 27/2*w - 25]', '[1966, 1966, 1/2*w^3 - w^2 - 9/2*w + 11]', '[1966, 1966, -w^3 + 2*w^2 + 6*w + 5]', '[1966, 1966, -3*w^3 + 2*w^2 + 12*w + 5]', '[1982, 1982, -5/2*w^3 + 4*w^2 + 31/2*w + 6]', '[1982, 1982, -11/2*w^3 + 18*w^2 + 13/2*w - 31]', '[1982, 1982, w^3 - 4*w^2 - 4*w + 1]', '[1982, 1982, 7/2*w^3 - 41/2*w - 12]', '[1982, 1982, 3/2*w^3 - 5*w^2 - 11/2*w + 19]', '[1982, 1982, 2*w^3 - 15*w - 7]', '[1982, 1982, -1/2*w^3 + 19/2*w - 13]', '[1982, 1982, -3/2*w^3 + 7*w^2 - 9/2*w - 11]', '[1999, 1999, -3*w^3 + 5*w^2 + 12*w - 1]', '[1999, 1999, -2*w^3 + 4*w^2 + 14*w + 5]', '[2009, 287, 3/2*w^3 - 6*w^2 + 1/2*w + 14]', '[2009, 287, -2*w^3 + 3*w^2 + 11*w - 7]', '[2009, 287, -w^3 - w^2 + 8*w + 3]', '[2009, 287, 1/2*w^3 - 2*w^2 + 7/2*w + 6]', '[2009, 287, -2*w^2 + 8*w - 3]', '[2009, 287, 5/2*w^3 - 9*w^2 - 3/2*w + 14]', '[2009, 287, -2*w^3 + 2*w^2 + 14*w + 5]', '[2009, 287, -3/2*w^3 - w^2 + 21/2*w + 10]', '[2012, 1006, -w^3 + w^2 + 5*w + 8]', '[2012, 1006, 1/2*w^3 - 5*w^2 + 9/2*w + 17]', '[2012, 1006, 3/2*w^3 - 7*w^2 - 3/2*w + 28]', '[2012, 1006, 2*w^2 - w - 12]', '[2012, 1006, -w^3 + 3*w^2 + w + 3]', '[2012, 1006, -9/2*w^3 + 11*w^2 + 31/2*w - 19]', '[2012, 1006, 4*w^3 - 7*w^2 - 20*w + 11]', '[2012, 1006, 7/2*w^3 - 7*w^2 - 25/2*w + 5]', '[2012, 1006, -5/2*w^3 + 9*w^2 + 7/2*w - 25]', '[2012, 1006, 1/2*w^3 + w^2 - 17/2*w - 2]', '[2012, 1006, -2*w^3 + 3*w^2 + 10*w - 6]', '[2012, 1006, w^3 - 10*w - 2]', '[2017, 2017, 3*w^3 - 9*w^2 - 10*w + 25]', '[2017, 2017, -2*w^3 + 3*w^2 + 5*w + 3]', '[2018, 2018, 1/2*w^3 - 2*w^2 - 15/2*w - 2]', '[2018, 2018, 1/2*w^3 - 2*w^2 - 3/2*w - 3]', '[2018, 2018, -w^3 - 2*w^2 + 6*w + 7]', '[2018, 2018, -1/2*w^3 + 2*w^2 + 3/2*w - 12]', '[2018, 2018, -7/2*w^3 + 11*w^2 + 15/2*w - 23]', '[2018, 2018, -1/2*w^3 + 4*w^2 - 5/2*w - 10]', '[2018, 2018, -7/2*w^3 + 8*w^2 + 33/2*w - 23]', '[2018, 2018, -1/2*w^3 + 4*w^2 - 5/2*w - 9]', '[2039, 2039, -1/2*w^3 - 2*w^2 - 7/2*w - 4]', '[2039, 2039, -6*w^3 + 15*w^2 + 23*w - 41]', '[2047, 2047, 1/2*w^3 + w^2 - 15/2*w - 10]', '[2047, 2047, -w^3 + 4*w^2 - w - 11]', '[2047, 2047, w^3 - 7*w + 1]', '[2047, 2047, 1/2*w^3 + w^2 - 15/2*w + 4]', '[2048, 8, -4*w^3 + 12*w^2 + 8*w - 24]', '[2048, 8, 2*w^3 - 10*w - 4]', '[2048, 16, -2*w^3 + 6*w^2 - 8]', '[2048, 16, 3*w^3 - 4*w^2 - 15*w + 2]', '[2048, 16, 4*w - 8]', '[2048, 16, 2*w^3 - 4*w^2 - 10*w]', '[2048, 32, -5/2*w^3 + 4*w^2 + 17/2*w - 5]', '[2048, 32, -w^3 + 3*w^2 + 4]', '[2048, 32, 4*w^3 - 10*w^2 - 16*w + 24]', '[2048, 32, 2*w^2 + 4*w - 2]', '[2048, 64, 1/2*w^3 + 3*w^2 - 17/2*w - 14]', '[2048, 64, -w^2 - 4*w + 4]', '[2057, 187, -3/2*w^3 + 4*w^2 - 1/2*w + 6]', '[2057, 187, -1/2*w^3 + 4*w^2 - 15/2*w - 8]', '[2057, 187, -2*w^3 + w^2 + 15*w + 1]', '[2057, 187, 3*w^3 - 5*w^2 - 14*w - 5]', '[2062, 2062, -w^3 + 4*w^2 + 6*w + 1]', '[2062, 2062, -1/2*w^3 + 4*w^2 - 1/2*w - 16]', '[2062, 2062, 5/2*w^3 - 7*w^2 - 21/2*w + 25]', '[2062, 2062, -3/2*w^3 + 2*w^2 + 17/2*w - 8]', '[2062, 2062, -1/2*w^3 + 2*w^2 - 9/2*w + 7]', '[2062, 2062, -1/2*w^3 + 2*w^2 - 5/2*w - 9]', '[2062, 2062, -5/2*w^3 + 4*w^2 + 27/2*w + 4]', '[2062, 2062, -3/2*w^3 + 6*w^2 + 5/2*w - 7]', '[2063, 2063, -1/2*w^3 + 3*w^2 + 3/2*w - 12]', '[2063, 2063, -3/2*w^3 + 5*w^2 + 9/2*w - 6]', '[2078, 2078, 1/2*w^3 - 2*w^2 - 11/2*w + 2]', '[2078, 2078, -3*w^3 + 6*w^2 + 16*w - 21]', '[2078, 2078, -7*w^3 + 18*w^2 + 22*w - 37]', '[2078, 2078, 1/2*w^3 - w^2 - 17/2*w - 7]', '[2078, 2078, 5/2*w^3 - w^2 - 13/2*w - 1]', '[2078, 2078, -7/2*w^3 + 11*w^2 + 11/2*w - 15]', '[2078, 2078, -5/2*w^3 + 6*w^2 + 23/2*w - 15]', '[2078, 2078, 2*w^3 - 11*w - 11]', '[2081, 2081, -3*w^3 + 10*w^2 + 5*w - 21]', '[2081, 2081, w^3 + 2*w^2 - 7*w - 7]', '[2089, 2089, 5/2*w^3 - 3*w^2 - 19/2*w - 2]', '[2089, 2089, -7/2*w^3 + 9*w^2 + 17/2*w - 12]', '[2104, 526, 3/2*w^3 - 4*w^2 - 11/2*w + 15]', '[2104, 526, w^3 - 5*w^2 + 10]', '[2104, 526, w^2 + w + 4]', '[2104, 526, 1/2*w^3 - 4*w^2 + 3/2*w + 11]', '[2104, 1052, 3/2*w^3 - 5*w^2 - 7/2*w + 18]', '[2104, 1052, 2*w^2 - w + 2]', '[2104, 1052, -2*w^3 + 7*w^2 + 2*w - 5]', '[2104, 1052, w^3 + w^2 - 7*w - 14]', '[2113, 2113, -1/2*w^3 - 2*w^2 + 25/2*w - 6]', '[2113, 2113, 7*w^3 - 19*w^2 - 24*w + 49]', '[2116, 46, 2*w^3 - 3*w^2 - 12*w + 5]', '[2116, 46, -3*w^3 + 7*w^2 + 13*w - 15]', '[2116, 46, w^2 + 4*w - 2]', '[2116, 46, 5/2*w^3 - 5*w^2 - 15/2*w + 3]', '[2116, 46, -5/2*w^3 + 5*w^2 + 15/2*w - 7]', '[2116, 46, w^2 - 6*w - 2]', '[2116, 1058, 3/2*w^3 + w^2 - 27/2*w - 16]', '[2116, 1058, -7/2*w^3 + 9*w^2 + 17/2*w - 15]', '[2116, 1058, -5/2*w^3 + 5*w^2 + 25/2*w - 6]', '[2116, 1058, -5/2*w^3 + 3*w^2 + 19/2*w - 1]', '[2116, 1058, 5*w - 4]', '[2116, 1058, w^3 - 6*w^2 + 6*w + 2]', '[2126, 2126, 9/2*w^3 - 12*w^2 - 31/2*w + 24]', '[2126, 2126, 5/2*w^3 - 6*w^2 - 11/2*w + 14]', '[2126, 2126, 5/2*w^3 - 4*w^2 - 19/2*w + 9]', '[2126, 2126, -1/2*w^3 - 2*w^2 - 1/2*w + 7]', '[2137, 2137, 3/2*w^3 - 4*w^2 + 1/2*w - 2]', '[2137, 2137, 3*w^3 - 5*w^2 - 14*w - 1]', '[2143, 2143, -7/2*w^3 + 11*w^2 + 13/2*w - 24]', '[2143, 2143, 5*w^3 - 14*w^2 - 13*w + 25]', '[2143, 2143, 3/2*w^3 + w^2 - 17/2*w - 4]', '[2143, 2143, -2*w^3 + 8*w + 7]', '[2153, 2153, -8*w^3 + 23*w^2 + 19*w - 45]', '[2153, 2153, 3*w^3 - 9*w^2 - 10*w + 27]', '[2162, 2162, 1/2*w^3 - 2*w^2 - 7/2*w + 11]', '[2162, 2162, 3/2*w^3 - 6*w^2 - 1/2*w + 18]', '[2162, 2162, -1/2*w^3 - 2*w^2 + 11/2*w + 1]', '[2162, 2162, -3/2*w^3 + 4*w^2 + 13/2*w - 2]', '[2162, 2162, 4*w^3 - 12*w^2 - 9*w + 27]', '[2162, 2162, -1/2*w^3 - w^2 + 5/2*w + 9]', '[2162, 2162, -2*w^3 + 6*w^2 + 5*w - 7]', '[2162, 2162, -3/2*w^3 - w^2 + 15/2*w + 3]', '[2168, 542, 4*w^3 - 11*w^2 - 17*w + 40]', '[2168, 542, -9/2*w^3 + 6*w^2 + 45/2*w + 7]', '[2168, 542, -5/2*w^3 + 33/2*w + 13]', '[2168, 542, -5*w^3 + 11*w^2 + 22*w - 26]', '[2168, 1084, 4*w^3 - 14*w^2 - 3*w + 26]', '[2168, 1084, -5/2*w^3 + w^2 + 33/2*w + 16]', '[2168, 1084, -5*w^3 + 5*w^2 + 29*w + 7]', '[2168, 1084, -4*w^3 + 10*w^2 + 11*w - 14]', '[2174, 2174, 5/2*w^3 - 7*w^2 - 13/2*w + 9]', '[2174, 2174, -w^3 + 4*w + 7]', '[2174, 2174, 3*w^3 - 6*w^2 - 14*w + 15]', '[2174, 2174, -19/2*w^3 + 26*w^2 + 53/2*w - 51]', '[2176, 68, -w^3 + 9*w - 2]', '[2176, 68, -2*w^3 + 6*w^2 + 4*w - 4]', '[2176, 68, -w^3 + 5*w + 10]', '[2176, 68, -2*w^2 + 6*w + 8]', '[2176, 136, -w^3 + 2*w^2 - 3*w]', '[2176, 136, -2*w^2 - 2]', '[2176, 136, 2*w^3 - 6*w^2 - 6*w + 20]', '[2176, 136, -4*w^3 + 8*w^2 + 18*w - 12]', '[2176, 136, 5/2*w^3 - 6*w^2 - 9/2*w + 7]', '[2176, 136, w^3 - 5*w^2 + 12]', '[2176, 136, -1/2*w^3 + 4*w^2 - 3/2*w - 9]', '[2176, 136, -3*w^3 + 5*w^2 + 12*w - 4]', '[2176, 272, 3/2*w^3 - 3*w^2 - 19/2*w + 10]', '[2176, 272, w^2 + 4]', '[2176, 272, -w^3 + 3*w^2 + 3*w - 13]', '[2176, 272, -w^3 + 2*w^2 + 8*w]', '[2192, 274, 2*w^3 - 6*w^2 - 8*w + 22]', '[2192, 274, -6*w^3 + 18*w^2 + 12*w - 34]', '[2192, 548, 2*w^3 - 7*w^2 - w + 14]', '[2192, 548, -w^3 + 2*w^2 + 4]', '[2192, 548, -3*w^3 + 10*w^2 - 12]', '[2192, 548, -w^2 + 7*w - 10]', '[2192, 548, -7/2*w^3 + 3*w^2 + 39/2*w + 6]', '[2192, 548, -5/2*w^3 + 4*w^2 + 29/2*w + 5]', '[2192, 548, 5/2*w^3 - 5*w^2 - 21/2*w + 2]', '[2192, 548, 3/2*w^3 - 19/2*w - 3]', '[2194, 2194, w^3 - 4*w^2 - 10*w - 3]', '[2194, 2194, 9/2*w^3 - 11*w^2 - 41/2*w + 35]', '[2194, 2194, -3/2*w^3 + 5*w^2 + 11/2*w - 17]', '[2194, 2194, -w^3 + 4*w^2 + 4*w - 3]', '[2206, 2206, -5/2*w^3 + 2*w^2 + 15/2*w + 2]', '[2206, 2206, -3/2*w^3 + 2*w^2 + 21/2*w + 8]', '[2206, 2206, 1/2*w^3 - 15/2*w + 11]', '[2206, 2206, -11/2*w^3 + 14*w^2 + 33/2*w - 25]', '[2207, 2207, 2*w^3 - 6*w^2 - 4*w + 3]', '[2207, 2207, 2*w^3 - 5*w^2 - 9*w + 19]', '[2207, 2207, 1/2*w^3 - 2*w^2 - 9/2*w - 4]', '[2207, 2207, 7/2*w^3 - 9*w^2 - 25/2*w + 16]', '[2209, 47, -1/2*w^3 + w^2 + 3/2*w - 8]', '[2209, 47, -1/2*w^3 + w^2 + 3/2*w + 6]', '[2209, 2209, 3/2*w^3 - 6*w^2 - 7/2*w + 20]', '[2209, 2209, w^3 - 5*w^2 - 2*w + 5]', '[2239, 2239, -w^3 + 5*w^2 - 11]', '[2239, 2239, -1/2*w^3 + 4*w^2 - 3/2*w - 10]', '[2248, 562, -1/2*w^3 + 1/2*w + 7]', '[2248, 562, w^3 - 3*w^2 + 2*w + 6]', '[2248, 562, 5/2*w^3 - 4*w^2 - 25/2*w + 7]', '[2248, 562, 2*w^3 - 5*w^2 - 7*w + 4]', '[2248, 1124, 2*w^3 - 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2*w - 5]', '[2281, 2281, -5/2*w^3 + 6*w^2 + 17/2*w - 6]', '[2287, 2287, 3*w^3 - 7*w^2 - 16*w + 29]', '[2287, 2287, -2*w^3 + 3*w^2 + 13*w - 9]', '[2297, 2297, -w^3 + 3*w^2 + 6*w - 13]', '[2297, 2297, 3/2*w^3 - 4*w^2 - 15/2*w + 2]', '[2302, 2302, 5/2*w^3 - 4*w^2 - 31/2*w + 14]', '[2302, 2302, -5/2*w^3 + 2*w^2 + 23/2*w + 8]', '[2302, 2302, 7/2*w^3 - 10*w^2 - 13/2*w + 11]', '[2302, 2302, -1/2*w^3 + 19/2*w + 7]', '[2303, 329, -4*w^3 + 11*w^2 + 7*w - 11]', '[2303, 329, -1/2*w^3 + 2*w^2 - 7/2*w + 8]', '[2303, 329, -7/2*w^3 + 4*w^2 + 31/2*w + 6]', '[2303, 329, -2*w^3 + 3*w^2 + 11*w + 7]', '[2306, 2306, w^3 - 2*w^2 - 4*w - 5]', '[2306, 2306, -9/2*w^3 + 2*w^2 + 39/2*w + 10]', '[2306, 2306, 1/2*w^3 + 3*w^2 - 13/2*w - 7]', '[2306, 2306, -1/2*w^3 + w^2 + 1/2*w + 7]', '[2308, 1154, -w^3 + w^2 + w + 4]', '[2308, 1154, 3/2*w^3 - 5*w^2 - 11/2*w + 18]', '[2308, 1154, 3/2*w^3 - 5*w^2 - 1/2*w + 11]', '[2308, 1154, w^3 - 4*w^2 - 4*w + 2]', '[2308, 1154, 3/2*w^3 - w^2 - 17/2*w + 1]', '[2308, 1154, 3*w^3 - 7*w^2 - 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7*w^2 - 27/2*w + 2]', '[5468, 2734, 3/2*w^3 + w^2 - 25/2*w - 5]', '[5468, 2734, -w^3 + 3*w^2 - 5*w]', '[5468, 2734, 2*w^3 - 4*w^2 - 3*w - 4]', '[5468, 2734, 4*w^3 - 7*w^2 - 20*w + 7]', '[5468, 2734, 7/2*w^3 - 5*w^2 - 29/2*w + 1]', '[5468, 2734, 7/2*w^3 - 9*w^2 - 13/2*w + 11]', '[5468, 2734, 5/2*w^3 - 5*w^2 - 29/2*w + 16]', '[5468, 2734, 2*w^3 - 6*w^2 - 7*w]', '[5468, 2734, -3/2*w^3 + 7*w^2 - 7/2*w - 15]', '[5468, 2734, -1/2*w^3 + 3*w^2 + 5/2*w - 20]', '[5468, 2734, w^3 - 2*w^2 - 10*w - 2]', '[5471, 5471, 3*w^3 - 2*w^2 - 15*w - 3]', '[5471, 5471, 4*w^3 - 12*w^2 - 6*w + 21]', '[5479, 5479, 17/2*w^3 - 23*w^2 - 59/2*w + 58]', '[5479, 5479, 1/2*w^3 + 5*w^2 + 5/2*w - 4]', '[5503, 5503, 5/2*w^3 - 9*w^2 - 3/2*w + 20]', '[5503, 5503, -3/2*w^3 - w^2 + 21/2*w + 4]', '[5506, 5506, -2*w^3 + 17*w + 15]', '[5506, 5506, -7/2*w^3 + 7*w^2 + 39/2*w - 23]', '[5506, 5506, w^3 - 2*w^2 - 12*w - 5]', '[5506, 5506, -4*w^3 + 6*w^2 + 17*w - 3]', '[5506, 5506, -15/2*w^3 + 17*w^2 + 63/2*w - 41]', '[5506, 5506, -3/2*w^3 - 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13]', '[823, 823, -3/2*w^3 + 5*w^2 + 9/2*w - 8]', '[823, 823, -1/2*w^3 + 3*w^2 + 3/2*w - 10]', '[823, 823, -4*w^3 + 10*w^2 + 14*w - 19]', '[823, 823, w^3 - w - 3]', '[839, 839, -2*w^3 + 5*w^2 + 5*w - 15]', '[839, 839, -3*w^3 + 2*w^2 + 15*w + 9]', '[857, 857, -5/2*w^3 + 6*w^2 + 17/2*w - 8]', '[857, 857, w^3 - w^2 - 2*w - 3]', '[863, 863, 1/2*w^3 - 2*w^2 - 1/2*w - 2]', '[863, 863, 2*w^3 - w^2 - 5*w - 1]', '[863, 863, w^2 - w - 9]', '[863, 863, -3/2*w^3 + 5*w^2 - 3/2*w - 6]', '[881, 881, 3*w^3 - 6*w^2 - 11*w + 5]', '[881, 881, -2*w^3 + 7*w^2 + 3*w - 19]', '[887, 887, 1/2*w^3 + 2*w^2 - 13/2*w - 10]', '[887, 887, -1/2*w^3 + w^2 + 15/2*w + 6]', '[911, 911, -1/2*w^3 + 2*w^2 + 1/2*w - 10]', '[911, 911, 2*w^3 - 6*w^2 - 4*w + 15]', '[911, 911, -w^2 + w - 3]', '[911, 911, w^3 - 5*w + 1]', '[919, 919, 1/2*w^3 - w^2 - 11/2*w + 10]', '[919, 919, 1/2*w^3 - 13/2*w - 2]', '[919, 919, -3/2*w^3 + 3*w^2 + 17/2*w + 2]', '[919, 919, w^3 - w^2 - 8*w + 3]', '[929, 929, -1/2*w^3 + 17/2*w + 6]', '[929, 929, -7/2*w^3 + 7*w^2 + 25/2*w - 4]', '[929, 929, -13/2*w^3 + 18*w^2 + 37/2*w - 40]', '[929, 929, -1/2*w^3 + 4*w^2 - 7/2*w - 14]', '[937, 937, 7*w^3 - 19*w^2 - 20*w + 41]', '[937, 937, -5/2*w^3 + 17/2*w + 2]', '[961, 31, -2*w^3 + 4*w^2 + 6*w - 5]', '[961, 31, 2*w^3 - 4*w^2 - 6*w + 3]', '[967, 967, -3*w^3 + 11*w + 7]', '[967, 967, -8*w^3 + 21*w^2 + 25*w - 45]', '[967, 967, -5/2*w^3 + 13/2*w + 2]', '[967, 967, 8*w^3 - 22*w^2 - 22*w + 43]', '[977, 977, -3/2*w^3 + 2*w^2 + 15/2*w - 4]', '[977, 977, -w^3 + 3*w^2 - 7]', '[983, 983, -w^3 + 4*w^2 - w - 9]', '[983, 983, w^3 - 7*w - 1]', '[991, 991, 3/2*w^3 - 2*w^2 - 19/2*w]', '[991, 991, -3*w^3 + 7*w^2 + 8*w - 5]', '[991, 991, -w^2 + 5*w - 1]', '[991, 991, -5/2*w^3 + 4*w^2 + 17/2*w + 2]']}
93. label: 4.4.7488.1
    {'degree': 4, 'discriminant': 7488, 'ideals': ['[1, 1, 1]', '[2, 2, -w^3 + 2*w^2 + 4*w - 1]', '[4, 2, w^3 - 2*w^2 - 3*w]', '[8, 2, w^3 - w^2 - 5*w - 3]', '[9, 3, w^3 - 2*w^2 - 3*w + 1]', '[11, 11, -w^3 + 2*w^2 + 4*w]', '[11, 11, -w + 2]', '[13, 13, w + 2]', '[13, 13, w^3 - 2*w^2 - 4*w + 4]', '[13, 13, -w^2 + 2*w + 2]', '[16, 2, 2]', '[18, 6, w^2 - w - 4]', '[22, 22, w^2 - w - 2]', '[22, 22, w^3 - 3*w^2 - 2*w + 4]', '[26, 26, -w^3 + w^2 + 6*w]', '[26, 26, w^2 - 3*w - 2]', '[26, 26, -2*w^3 + 3*w^2 + 9*w]', '[32, 4, -2*w^3 + 4*w^2 + 8*w - 2]', '[36, 6, -w^3 + 2*w^2 + 3*w + 2]', '[37, 37, -w^3 + 2*w^2 + 5*w - 3]', '[37, 37, w^3 - 2*w^2 - 5*w + 1]', '[44, 22, w^2 - 3]', '[44, 22, 2*w^3 - 5*w^2 - 6*w + 5]', '[47, 47, -2*w^3 + 2*w^2 + 10*w + 5]', '[47, 47, w^2 - w - 5]', '[52, 26, 2*w^3 - 3*w^2 - 8*w - 1]', '[52, 26, 2*w^3 - 5*w^2 - 4*w + 3]', '[52, 26, w^3 - 2*w^2 - 5*w + 2]', '[59, 59, -w^3 + 3*w^2 + 3*w - 6]', '[59, 59, w^3 - 3*w^2 - 3*w + 2]', '[64, 4, 2*w^3 - 4*w^2 - 6*w]', '[71, 71, -2*w^3 + 4*w^2 + 7*w]', '[71, 71, w^3 - 2*w^2 - 2*w - 2]', '[72, 6, -3*w^3 + 5*w^2 + 13*w + 1]', '[73, 73, w^3 - 2*w^2 - 4*w - 2]', '[73, 73, w - 4]', '[74, 74, -2*w^3 + 5*w^2 + 7*w - 8]', '[74, 74, w^3 - 3*w^2 - 4*w + 2]', '[81, 3, 3]', '[83, 83, w^3 - w^2 - 6*w + 1]', '[83, 83, w^2 - 3*w - 3]', '[88, 22, w^3 - w^2 - 7*w + 1]', '[88, 22, -w^3 + w^2 + 7*w + 1]', '[94, 94, -w - 3]', '[94, 94, 5*w^3 - 9*w^2 - 20*w + 4]', '[97, 97, -3*w^3 + 5*w^2 + 12*w + 1]', '[97, 97, -2*w^3 + 5*w^2 + 3*w - 1]', '[99, 33, w^3 - w^2 - 4*w - 3]', '[99, 33, 2*w^3 - 5*w^2 - 5*w + 3]', '[104, 26, -w^3 + 3*w^2 + w - 5]', '[104, 26, -w^3 + w^2 + 5*w - 1]', '[104, 26, -w^3 + 3*w^2 + w - 7]', '[107, 107, -2*w^3 + 3*w^2 + 9*w - 1]', '[107, 107, 2*w - 3]', '[107, 107, -w^3 + 3*w^2 - 3]', '[107, 107, 2*w^3 - 4*w^2 - 8*w + 1]', '[109, 109, -3*w^3 + 5*w^2 + 12*w - 1]', '[109, 109, 2*w^3 - 5*w^2 - 3*w + 3]', '[117, 39, 2*w^3 - 3*w^2 - 7*w + 1]', '[117, 39, 3*w^3 - 7*w^2 - 8*w + 7]', '[117, 39, w^3 - w^2 - 7*w]', '[118, 118, 5*w^3 - 10*w^2 - 18*w + 9]', '[118, 118, -w^3 + 2*w^2 + 2*w - 5]', '[121, 11, -2*w^3 + 4*w^2 + 6*w - 1]', '[121, 11, -2*w^3 + 4*w^2 + 6*w - 3]', '[121, 121, w^3 - 4*w^2 + w + 3]', '[121, 121, -w^3 + 7*w + 5]', '[128, 4, 2*w^3 - 2*w^2 - 10*w - 6]', '[131, 131, 2*w^2 - 6*w - 3]', '[131, 131, -3*w^3 + 5*w^2 + 13*w + 2]', '[131, 131, 2*w^3 - 4*w^2 - 5*w - 2]', '[131, 131, -2*w^3 + 2*w^2 + 12*w + 5]', '[142, 142, -2*w^3 + 2*w^2 + 11*w + 7]', '[142, 142, 3*w^3 - 5*w^2 - 12*w]', '[143, 143, -2*w^3 + 5*w^2 + 6*w - 4]', '[143, 143, -w^3 + w^2 + 5*w - 2]', '[143, 143, w^3 - 4*w^2 + 2*w + 4]', '[143, 143, w^3 - 3*w^2 - w + 6]', '[143, 143, -w^2 + 4]', '[143, 143, -2*w^3 + 2*w^2 + 11*w + 2]', '[144, 6, 2*w^3 - 4*w^2 - 6*w + 2]', '[146, 146, 3*w^3 - 5*w^2 - 14*w - 2]', '[146, 146, 4*w^3 - 8*w^2 - 15*w + 5]', '[148, 74, -w^3 + 4*w^2 - w - 4]', '[148, 74, -w^3 + 7*w + 4]', '[162, 6, -3*w^3 + 6*w^2 + 12*w - 3]', '[166, 166, -3*w^3 + 5*w^2 + 14*w]', '[166, 166, 2*w^2 - 3*w - 7]', '[167, 167, -2*w^2 + 4*w + 9]', '[167, 167, -w^2 + 3*w + 5]', '[169, 13, -w^3 + 6*w + 4]', '[169, 13, 2*w^3 - 6*w^2 - 3*w + 6]', '[169, 13, w^3 - 2*w^2 - 3*w + 5]', '[169, 13, -w^3 + 2*w^2 + 3*w + 3]', '[169, 169, -2*w^2 + 4*w + 3]', '[169, 169, -2*w^2 + 4*w + 5]', '[176, 22, -2*w^3 + 4*w^2 + 8*w]', '[176, 22, -2*w + 4]', '[179, 179, -2*w^3 + 5*w^2 + 4*w - 6]', '[179, 179, 2*w^3 - 4*w^2 - 8*w - 1]', '[179, 179, -3*w^3 + 3*w^2 + 17*w + 8]', '[179, 179, -2*w^3 + 3*w^2 + 8*w - 2]', '[188, 94, 3*w^3 - 6*w^2 - 13*w + 2]', '[188, 94, -4*w^3 + 7*w^2 + 16*w + 1]', '[193, 193, 6*w^3 - 8*w^2 - 30*w - 7]', '[193, 193, -2*w^3 + w^2 + 13*w + 7]', '[194, 194, -4*w^3 + 4*w^2 + 21*w + 11]', '[194, 194, -w^3 + w^2 + 4*w + 4]', '[198, 66, -w^3 + 2*w^2 + 6*w - 1]', '[198, 66, 2*w^3 - 4*w^2 - 9*w + 5]', '[208, 26, 2*w + 4]', '[208, 26, 2*w^3 - 4*w^2 - 8*w + 8]', '[208, 26, -2*w^2 + 4*w + 4]', '[214, 214, -w^3 - w^2 + 8*w + 10]', '[214, 214, 2*w^3 - 4*w^2 - 9*w + 3]', '[214, 214, 3*w^3 - 6*w^2 - 10*w + 5]', '[214, 214, w^3 - 8*w - 9]', '[218, 218, 3*w^3 - 6*w^2 - 10*w - 1]', '[218, 218, -w^3 + 3*w^2 + 4*w - 6]', '[227, 227, 3*w^3 - 4*w^2 - 15*w - 1]', '[227, 227, -3*w^3 + 7*w^2 + 8*w - 3]', '[229, 229, -3*w^3 + w^2 + 20*w + 15]', '[229, 229, -w^3 + 5*w^2 - 4*w - 5]', '[234, 78, 2*w^2 - 5*w - 5]', '[234, 78, -w^3 + 8*w + 1]', '[234, 78, w^3 - 8*w - 7]', '[236, 118, -3*w^3 + 6*w^2 + 11*w - 2]', '[236, 118, -w^3 + 2*w^2 + w + 2]', '[239, 239, -4*w^3 + 5*w^2 + 20*w + 4]', '[239, 239, -5*w^3 + 7*w^2 + 24*w + 3]', '[241, 241, -2*w^3 + 4*w^2 + 9*w - 4]', '[241, 241, -w^3 + 2*w^2 + 6*w - 2]', '[242, 22, w^3 - 4*w^2 - 2*w + 9]', '[242, 22, -w^3 + 6*w + 7]', '[242, 242, -2*w^3 + 3*w^2 + 9*w - 2]', '[242, 242, -w^3 + 3*w^2 - 4]', '[256, 4, 4]', '[262, 262, 3*w^3 - 4*w^2 - 16*w - 3]', '[262, 262, 2*w^3 - 4*w^2 - 5*w + 1]', '[262, 262, 4*w^3 - 6*w^2 - 17*w - 3]', '[262, 262, 2*w^2 - 3*w - 3]', '[263, 263, -w^3 + 4*w^2 - w - 7]', '[263, 263, -2*w^3 + 5*w^2 + 3*w - 5]', '[263, 263, -w^3 + 7*w + 1]', '[263, 263, -3*w^3 + 5*w^2 + 12*w - 3]', '[277, 277, -2*w^3 + w^2 + 12*w + 8]', '[277, 277, 3*w^3 - 5*w^2 - 14*w + 1]', '[277, 277, 2*w^2 - 2*w - 3]', '[277, 277, -2*w^3 + 6*w^2 + 4*w - 9]', '[284, 142, 4*w^3 - 7*w^2 - 14*w - 5]', '[284, 142, -4*w^3 + 9*w^2 + 10*w + 1]', '[286, 286, -2*w^3 + 6*w^2 + 5*w - 7]', '[286, 286, -4*w^3 + 9*w^2 + 15*w - 12]', '[286, 286, w^3 - 3*w^2 - 6*w + 2]', '[286, 286, w^3 - 4*w^2 - 2*w + 7]', '[286, 286, w^3 - 2*w^2 - 4*w - 3]', '[286, 286, -w + 5]', '[288, 12, 2*w^2 - 2*w - 8]', '[289, 17, -w^3 + 4*w^2 - 4]', '[289, 17, 2*w^2 - 3*w - 6]', '[292, 146, -4*w^3 + 7*w^2 + 14*w + 3]', '[292, 146, -4*w^3 + 9*w^2 + 10*w - 1]', '[296, 74, -w^3 + w^2 + 3*w + 3]', '[296, 74, -3*w^3 + 7*w^2 + 9*w - 5]', '[313, 313, -w - 4]', '[313, 313, -2*w^3 + 3*w^2 + 11*w + 1]', '[313, 313, -w^3 + 2*w^2 + 4*w - 6]', '[313, 313, -2*w^3 + 14*w + 13]', '[324, 6, 3*w^3 - 6*w^2 - 9*w]', '[332, 166, -3*w^2 + 8*w + 5]', '[332, 166, 2*w^3 - w^2 - 14*w - 3]', '[333, 111, -2*w^3 + 6*w^2 + 4*w - 7]', '[333, 111, -2*w^2 + 2*w + 5]', '[334, 334, -2*w^3 + 6*w^2 + 5*w - 9]', '[334, 334, -w^3 + 4*w^2 + 2*w - 5]', '[337, 337, 2*w^3 - 3*w^2 - 11*w + 3]', '[337, 337, -5*w^3 + 6*w^2 + 27*w + 7]', '[337, 337, w^3 - w^2 - 8*w - 1]', '[337, 337, -6*w^3 + 6*w^2 + 33*w + 14]', '[338, 26, -3*w^3 + 7*w^2 + 10*w - 6]', '[338, 26, -5*w^3 + 8*w^2 + 22*w + 3]', '[338, 26, w^2 + w - 4]', '[338, 26, -4*w^3 + 7*w^2 + 17*w]', '[338, 338, -3*w^3 + 4*w^2 + 14*w + 1]', '[338, 338, -2*w^3 + 6*w^2 + w - 5]', '[349, 349, -w^3 + 4*w^2 - 6]', '[349, 349, 2*w^2 - 3*w - 4]', '[352, 44, 2*w^2 - 2*w - 4]', '[352, 44, 2*w^3 - 6*w^2 - 4*w + 8]', '[358, 358, 4*w^3 - 9*w^2 - 15*w + 10]', '[358, 358, 2*w^2 - 3*w - 5]', '[358, 358, 3*w^3 - 4*w^2 - 16*w - 7]', '[358, 358, -3*w^2 + 3*w + 10]', '[359, 359, -4*w^3 + 7*w^2 + 16*w + 2]', '[359, 359, -9*w^3 + 13*w^2 + 42*w + 9]', '[373, 373, w^3 + w^2 - 10*w - 5]', '[373, 373, 2*w^2 - 7*w]', '[373, 373, 3*w^2 - 7*w - 5]', '[373, 373, 3*w^3 - 4*w^2 - 16*w - 2]', '[376, 94, -3*w^3 + 5*w^2 + 11*w + 1]', '[376, 94, -5*w^3 + 5*w^2 + 27*w + 15]', '[383, 383, 2*w^3 - 6*w^2 - 3*w + 2]', '[383, 383, w^3 - 6*w - 8]', '[386, 386, -2*w^3 + 2*w^2 + 11*w + 1]', '[386, 386, -w^3 + 4*w^2 - 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6]', '[431, 431, -2*w^3 + 5*w^2 + 6*w - 2]', '[436, 218, 4*w^3 - 5*w^2 - 20*w - 9]', '[436, 218, -2*w^3 + 7*w^2 - 2*w + 1]', '[443, 443, 2*w^3 - 5*w^2 - 7*w - 1]', '[443, 443, 6*w^3 - 6*w^2 - 33*w - 16]', '[443, 443, w^3 + w^2 - 11*w - 6]', '[443, 443, w^3 + w^2 - 11*w - 2]', '[454, 454, -w^3 + w^2 + 8*w - 2]', '[454, 454, -2*w^2 + 3*w + 11]', '[457, 457, 2*w^3 - 5*w^2 - 3*w - 3]', '[457, 457, -3*w^3 + 5*w^2 + 12*w + 5]', '[458, 458, -2*w^3 + 7*w^2 + w - 12]', '[458, 458, 4*w^3 - 6*w^2 - 19*w + 1]', '[468, 78, -2*w^3 + 3*w^2 + 10*w + 5]', '[468, 78, w^2 - 4*w + 5]', '[468, 78, w^3 - 4*w^2 - w + 6]', '[472, 118, -w^3 - w^2 + 9*w + 13]', '[472, 118, -3*w^3 + 5*w^2 + 11*w - 1]', '[478, 478, w^3 - w^2 - 8*w]', '[478, 478, 2*w^3 - 3*w^2 - 11*w + 2]', '[479, 479, -2*w^2 + 5*w + 6]', '[479, 479, -w^3 + 8*w]', '[481, 481, -3*w^3 + 7*w^2 + 7*w - 4]', '[481, 481, -4*w^3 + 7*w^2 + 15*w + 1]', '[481, 481, -2*w^3 + 2*w^2 + 13*w + 2]', '[481, 481, 3*w^3 - 5*w^2 - 11*w]', '[481, 481, w^3 - 10*w]', '[481, 481, 3*w^3 - 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13]', '[1573, 143, -4*w^3 + 6*w^2 + 13*w - 4]', '[1573, 143, -4*w^3 + 6*w^2 + 15*w]', '[1573, 143, -7*w^3 + 16*w^2 + 20*w - 18]', '[1573, 143, -5*w^3 + 12*w^2 + 12*w - 10]', '[1573, 143, -2*w^3 + 3*w^2 + 12*w - 2]', '[1573, 143, -3*w^3 + 7*w^2 + 13*w - 8]', '[1573, 1573, w + 6]', '[1573, 1573, w^3 - 2*w^2 - 4*w + 8]', '[1573, 1573, 3*w^3 - 6*w^2 - 7*w + 3]', '[1573, 1573, 2*w^3 - 3*w^2 - 8*w + 8]', '[1573, 1573, 2*w^3 - 5*w^2 - 4*w + 12]', '[1573, 1573, 5*w^3 - 10*w^2 - 17*w + 7]', '[1584, 66, 2*w^3 - 2*w^2 - 8*w - 6]', '[1584, 66, 4*w^3 - 10*w^2 - 10*w + 6]', '[1588, 794, -5*w^3 + 10*w^2 + 17*w - 6]', '[1588, 794, -2*w^3 + 7*w^2 + 2*w - 11]', '[1597, 1597, -6*w^3 + 12*w^2 + 20*w - 3]', '[1597, 1597, -4*w^3 + 8*w^2 + 10*w + 1]', '[1606, 1606, -5*w^3 + 14*w^2 + 10*w - 17]', '[1606, 1606, 3*w^2 - 5*w - 6]', '[1606, 1606, w^3 - 5*w^2 + 2*w + 8]', '[1606, 1606, -2*w^3 + 11*w + 5]', '[1607, 1607, -7*w^3 + 12*w^2 + 30*w]', '[1607, 1607, -5*w^3 + 9*w^2 + 21*w]', '[1609, 1609, -5*w^3 + 10*w^2 + 14*w + 2]', '[1609, 1609, w^3 - 11*w + 1]', '[1609, 1609, 3*w^3 - 4*w^2 - 17*w - 1]', '[1609, 1609, -5*w^2 + 12*w + 6]', '[1611, 537, -3*w^3 + 5*w^2 + 13*w - 8]', '[1611, 537, -3*w^3 + 4*w^2 + 11*w + 5]', '[1611, 537, 8*w^3 - 11*w^2 - 38*w - 6]', '[1611, 537, -w^3 + 3*w^2 - w - 8]', '[1619, 1619, -w^3 - w^2 + 11*w]', '[1619, 1619, -w^3 - w^2 + 11*w + 8]', '[1621, 1621, 2*w^3 - 4*w^2 - 11*w + 6]', '[1621, 1621, 4*w^3 - 7*w^2 - 14*w]', '[1621, 1621, -3*w^3 + 6*w^2 + 14*w - 4]', '[1621, 1621, -4*w^3 + 9*w^2 + 10*w - 4]', '[1628, 814, -3*w^2 + 8*w + 7]', '[1628, 814, -4*w^3 + 11*w^2 + 6*w - 3]', '[1628, 814, 4*w^3 - 5*w^2 - 18*w - 9]', '[1628, 814, 2*w^3 - w^2 - 14*w - 1]', '[1636, 818, -4*w^3 + 7*w^2 + 14*w - 3]', '[1636, 818, -4*w^3 + 9*w^2 + 10*w - 7]', '[1654, 1654, 5*w^3 - 8*w^2 - 24*w - 1]', '[1654, 1654, w^3 + 2*w^2 - 10*w - 13]', '[1657, 1657, 3*w^2 - 5*w - 7]', '[1657, 1657, -w^3 + 5*w^2 - 2*w - 7]', '[1664, 52, -2*w^3 + 6*w^2 + 2*w - 10]', '[1664, 52, -2*w^3 + 2*w^2 + 10*w - 2]', '[1664, 52, -2*w^3 + 6*w^2 + 2*w - 14]', '[1669, 1669, -w^3 + 2*w^2 + 5*w - 9]', '[1669, 1669, w^3 - 2*w^2 - 5*w - 5]', '[1676, 838, -4*w^3 + 9*w^2 + 12*w - 3]', '[1676, 838, -5*w^3 + 12*w^2 + 11*w]', '[1676, 838, -5*w^3 + 8*w^2 + 19*w + 8]', '[1676, 838, -2*w^3 + 3*w^2 + 6*w + 5]', '[1678, 1678, 10*w^3 - 22*w^2 - 33*w + 25]', '[1678, 1678, -4*w^2 + 9*w + 7]', '[1682, 58, -5*w^3 + 4*w^2 + 26*w + 15]', '[1682, 58, -3*w^3 + 8*w^2 + 10*w - 15]', '[1684, 842, -3*w^3 + 4*w^2 + 17*w]', '[1684, 842, -w^3 + 11*w]', '[1692, 282, -w^3 - 2*w^2 + 7*w + 12]', '[1692, 282, 4*w^3 - 5*w^2 - 18*w - 11]', '[1693, 1693, -2*w^3 + 7*w^2 + 4*w - 12]', '[1693, 1693, -6*w^3 + 9*w^2 + 29*w + 1]', '[1693, 1693, -6*w^3 + 6*w^2 + 32*w + 13]', '[1693, 1693, -2*w^3 + 7*w^2 + 4*w - 8]', '[1703, 1703, -2*w^3 + 2*w^2 + 11*w - 2]', '[1703, 1703, w^3 - w^2 - w - 4]', '[1703, 1703, -w^3 + 3*w^2 - 2*w - 5]', '[1703, 1703, -w^3 + 3*w^2 - 3*w - 4]', '[1703, 1703, -w^3 + w^2 + 2*w + 5]', '[1703, 1703, -4*w^3 + 6*w^2 + 16*w - 3]', '[1703, 1703, 2*w^3 - 2*w^2 - 15*w - 6]', '[1703, 1703, 4*w^3 - 5*w^2 - 16*w - 6]', '[1703, 1703, 2*w^3 - 6*w^2 - 6*w + 1]', '[1703, 1703, -w^3 - w^2 + 5*w + 8]', '[1703, 1703, -3*w^3 + 10*w^2 - 2*w - 6]', '[1703, 1703, 2*w^3 - 6*w^2 + 2*w - 3]', '[1706, 1706, 2*w^2 - w - 9]', '[1706, 1706, -3*w^3 + w^2 + 18*w + 16]', '[1712, 214, -4*w^3 + 6*w^2 + 18*w - 2]', '[1712, 214, 4*w - 6]', '[1712, 214, -2*w^3 + 6*w^2 - 6]', '[1712, 214, 4*w^3 - 8*w^2 - 16*w + 2]', '[1724, 862, -5*w^3 + 10*w^2 + 17*w]', '[1724, 862, 3*w^3 - 6*w^2 - 7*w - 4]', '[1726, 1726, -3*w^3 + 5*w^2 + 14*w + 6]', '[1726, 1726, 12*w^3 - 20*w^2 - 51*w + 1]', '[1737, 579, -9*w^3 + 10*w^2 + 47*w + 17]', '[1737, 579, 6*w^3 - 8*w^2 - 31*w - 4]', '[1739, 1739, 6*w^3 - 12*w^2 - 23*w + 14]', '[1739, 1739, 4*w^3 - 9*w^2 - 14*w + 6]', '[1739, 1739, 2*w^3 - w^2 - 7*w - 5]', '[1739, 1739, -6*w^3 + 10*w^2 + 25*w - 4]', '[1744, 218, -6*w^3 + 10*w^2 + 24*w - 2]', '[1744, 218, 4*w^3 - 10*w^2 - 6*w + 6]', '[1746, 582, 11*w^3 - 17*w^2 - 50*w - 6]', '[1746, 582, 4*w^3 - 8*w^2 - 15*w + 1]', '[1753, 1753, 2*w^3 - 2*w^2 - 14*w - 1]', '[1753, 1753, 2*w^3 - 2*w^2 - 14*w + 1]', '[1754, 1754, -5*w^3 + 9*w^2 + 20*w + 2]', '[1754, 1754, -6*w^3 + 7*w^2 + 33*w + 12]', '[1772, 886, 6*w^3 - 11*w^2 - 18*w - 5]', '[1772, 886, -10*w^3 + 17*w^2 + 42*w - 5]', '[1772, 886, -3*w^3 + 4*w^2 + 15*w - 2]', '[1772, 886, w^3 - 4*w^2 + 3*w + 6]', '[1777, 1777, 3*w^2 - 3*w - 7]', '[1777, 1777, w^3 - w^2 - 5*w - 8]', '[1777, 1777, w^3 - 3*w^2 - w - 4]', '[1777, 1777, 3*w^3 - 9*w^2 - 6*w + 11]', '[1782, 66, 3*w^2 - 3*w - 6]', '[1782, 66, 3*w^3 - 9*w^2 - 6*w + 12]', '[1787, 1787, 3*w^3 - w^2 - 22*w - 11]', '[1787, 1787, 5*w^2 - 13*w - 3]', '[1789, 1789, -4*w^3 + 8*w^2 + 19*w - 2]', '[1789, 1789, 6*w^3 - 10*w^2 - 23*w - 4]', '[1801, 1801, 3*w^2 - 4*w - 8]', '[1801, 1801, -2*w^3 + 7*w^2 + 2*w - 8]', '[1816, 454, -w^3 + 7*w^2 - 9*w - 7]', '[1816, 454, 9*w^3 - 15*w^2 - 37*w - 3]', '[1826, 1826, -w^2 - w + 8]', '[1826, 1826, -3*w^3 + 7*w^2 + 10*w - 2]', '[1826, 1826, 2*w^3 - 2*w^2 - 7*w - 5]', '[1826, 1826, 5*w^3 - 12*w^2 - 14*w + 9]', '[1828, 914, -4*w^3 + 9*w^2 + 10*w - 5]', '[1828, 914, 4*w^3 - 7*w^2 - 14*w + 1]', '[1832, 458, -5*w^3 + 5*w^2 + 31*w + 1]', '[1832, 458, 3*w^3 - 9*w^2 - 5*w + 17]', '[1837, 1837, -6*w^3 + 13*w^2 + 19*w - 11]', '[1837, 1837, 3*w^3 - 5*w^2 - 8*w + 1]', '[1837, 1837, 4*w^3 - 7*w^2 - 14*w + 2]', '[1837, 1837, -4*w^3 + 9*w^2 + 10*w - 6]', '[1846, 1846, -3*w^3 + 24*w + 11]', '[1846, 1846, 6*w^3 - 8*w^2 - 31*w - 5]', '[1846, 1846, -6*w^2 + 15*w + 7]', '[1846, 1846, -7*w^3 + 7*w^2 + 38*w + 16]', '[1846, 1846, 2*w^3 + w^2 - 21*w - 4]', '[1846, 1846, 3*w^3 - w^2 - 24*w - 6]', '[1849, 43, 2*w^3 - 7*w^2 - 2*w + 10]', '[1849, 43, 3*w^2 - 4*w - 6]', '[1859, 143, -5*w^3 + 9*w^2 + 20*w + 3]', '[1859, 143, -3*w^3 + 8*w^2 + 7*w - 3]', '[1859, 143, -3*w^3 + 7*w^2 + 12*w - 3]', '[1859, 143, -2*w^3 + 2*w^2 + 12*w - 3]', '[1859, 143, 2*w^3 - 5*w^2 - 9*w + 11]', '[1859, 143, -2*w^2 + 6*w + 7]', '[1859, 143, -2*w^3 + 5*w^2 + w + 5]', '[1859, 143, -w^3 + 5*w + 9]', '[1859, 1859, 4*w^3 - 11*w^2 - 6*w + 2]', '[1859, 1859, 2*w^3 - 8*w^2 + 5*w + 6]', '[1859, 1859, -5*w^3 + 6*w^2 + 26*w + 4]', '[1859, 1859, 4*w^3 - 5*w^2 - 18*w - 10]', '[1861, 1861, -8*w^3 + 12*w^2 + 35*w + 6]', '[1861, 1861, -5*w^3 + 6*w^2 + 25*w + 13]', '[1871, 1871, -5*w^3 + 12*w^2 + 11*w - 13]', '[1871, 1871, 7*w^3 - 14*w^2 - 25*w + 15]', '[1871, 1871, 5*w^3 - 12*w^2 - 12*w + 4]', '[1871, 1871, 5*w^3 - 8*w^2 - 19*w + 5]', '[1872, 78, 4*w^3 - 6*w^2 - 14*w + 2]', '[1872, 78, 6*w^3 - 14*w^2 - 16*w + 14]', '[1872, 78, 2*w^3 - 2*w^2 - 14*w]', '[1888, 236, 10*w^3 - 20*w^2 - 36*w + 18]', '[1888, 236, -2*w^3 + 4*w^2 + 4*w - 10]', '[1894, 1894, -9*w^3 + 12*w^2 + 40*w + 7]', '[1894, 1894, 5*w^3 - 12*w^2 - 16*w + 21]', '[1898, 1898, -2*w^3 + 19*w + 7]', '[1898, 1898, 4*w^3 - 3*w^2 - 25*w - 6]', '[1898, 1898, w^3 - 7*w^2 + 10*w + 8]', '[1898, 1898, 8*w^3 - 10*w^2 - 39*w - 9]', '[1898, 1898, 3*w^3 - 2*w^2 - 22*w + 1]', '[1898, 1898, 7*w^3 - 11*w^2 - 32*w + 2]', '[1912, 478, -w^3 - 3*w^2 + 15*w + 7]', '[1912, 478, -w^3 - 3*w^2 + 15*w + 9]', '[1916, 958, 4*w^3 - 3*w^2 - 26*w - 5]', '[1916, 958, 5*w^2 - 14*w - 7]', '[1924, 962, -3*w^3 + 6*w^2 + 11*w - 12]', '[1924, 962, w^2 - 2*w - 9]', '[1924, 962, 3*w^2 - 4*w - 7]', '[1924, 962, w^3 - 2*w^2 - w + 8]', '[1924, 962, 2*w^3 - 7*w^2 - 2*w + 9]', '[1924, 962, w^2 - 2*w + 5]', '[1926, 642, 8*w^3 - 14*w^2 - 35*w + 3]', '[1926, 642, w^3 - 5*w^2 + 10]', '[1926, 642, 2*w^3 - 5*w^2 - 5*w + 12]', '[1926, 642, -8*w^3 + 13*w^2 + 33*w - 2]', '[1928, 482, 7*w^3 - 11*w^2 - 31*w + 1]', '[1928, 482, 5*w^3 - 7*w^2 - 23*w - 1]', '[1931, 1931, 5*w^3 - 9*w^2 - 19*w + 8]', '[1931, 1931, -7*w^3 + 12*w^2 + 28*w - 6]', '[1936, 22, -4*w^3 + 8*w^2 + 12*w - 2]', '[1936, 22, -4*w^3 + 8*w^2 + 12*w - 6]', '[1936, 242, 2*w^3 - 8*w^2 + 2*w + 6]', '[1936, 242, -2*w^3 + 14*w + 10]', '[1962, 654, -4*w^3 + 7*w^2 + 13*w + 6]', '[1962, 654, -4*w^3 + 10*w^2 + 13*w - 9]', '[1966, 1966, -9*w^3 + 15*w^2 + 40*w - 4]', '[1966, 1966, -11*w^3 + 16*w^2 + 50*w + 9]', '[1969, 1969, 5*w^3 - 8*w^2 - 24*w - 8]', '[1969, 1969, 4*w^3 - 8*w^2 - 11*w]', '[1969, 1969, -2*w^3 + 11*w + 8]', '[1969, 1969, -3*w^3 + 6*w^2 + 14*w - 6]', '[1969, 1969, 2*w^3 - 4*w^2 - 11*w + 4]', '[1969, 1969, -5*w^3 + 10*w^2 + 16*w - 2]', '[1969, 1969, -5*w^3 + 14*w^2 + 10*w - 14]', '[1969, 1969, 5*w^3 - 8*w^2 - 19*w - 3]', '[1993, 1993, 3*w^3 - 9*w^2 - 7*w + 12]', '[1993, 1993, -w^3 + 5*w^2 + w - 8]', '[1993, 1993, 4*w^3 - 7*w^2 - 13*w - 1]', '[1993, 1993, 10*w^3 - 14*w^2 - 49*w - 10]', '[1994, 1994, -9*w^3 + 19*w^2 + 30*w - 24]', '[1994, 1994, -8*w^3 + 14*w^2 + 29*w - 11]', '[1994, 1994, 8*w^3 - 14*w^2 - 33*w + 1]', '[1994, 1994, 6*w^3 - 5*w^2 - 35*w - 20]', '[2012, 1006, -4*w^3 + 11*w^2 + 8*w - 7]', '[2012, 1006, 2*w^3 - w^2 - 10*w - 9]', '[2012, 1006, -2*w^3 - 3*w^2 + 26*w + 5]', '[2012, 1006, -5*w^3 + 10*w^2 + 19*w - 4]', '[2017, 2017, -8*w^3 + 12*w^2 + 35*w + 4]', '[2017, 2017, -w^3 + 7*w + 11]', '[2018, 2018, 7*w^3 - 13*w^2 - 28*w + 4]', '[2018, 2018, 6*w^3 - 10*w^2 - 27*w - 3]', '[2027, 2027, -4*w^3 + 11*w^2 + 7*w - 13]', '[2027, 2027, 2*w^3 - 6*w^2 - w + 8]', '[2027, 2027, -3*w^3 + 4*w^2 + 14*w - 2]', '[2027, 2027, w^3 + w^2 - 7*w - 12]', '[2029, 2029, -4*w^2 + 5*w + 14]', '[2029, 2029, -6*w^3 + 10*w^2 + 24*w + 1]', '[2029, 2029, 5*w^3 - 10*w^2 - 21*w + 7]', '[2029, 2029, -6*w^3 + 7*w^2 + 31*w + 15]', '[2038, 2038, 4*w^3 - 9*w^2 - 9*w + 2]', '[2038, 2038, 5*w^3 - 9*w^2 - 18*w]', '[2039, 2039, -7*w^3 + 13*w^2 + 27*w - 10]', '[2039, 2039, -6*w^3 + 15*w^2 + 17*w - 15]', '[2042, 2042, 7*w^3 - 16*w^2 - 20*w + 23]', '[2042, 2042, -w^3 - w^2 + 10*w]', '[2043, 681, -2*w^3 + 16*w + 11]', '[2043, 681, w^3 - 2*w^2 - 8]', '[2048, 8, 4*w^3 - 4*w^2 - 20*w - 12]', '[2053, 2053, w^3 - 3*w^2 - 5]', '[2053, 2053, -5*w^3 + 9*w^2 + 18*w - 5]', '[2053, 2053, -4*w^3 + 9*w^2 + 9*w - 7]', '[2053, 2053, 2*w^3 - 3*w^2 - 9*w - 7]', '[2061, 687, 13*w^3 - 20*w^2 - 60*w - 2]', '[2061, 687, -w^3 - 2*w^2 + 16*w]', '[2063, 2063, -3*w^3 + 7*w^2 + 10*w - 1]', '[2063, 2063, -2*w^3 + 6*w^2 + 2*w - 11]', '[2063, 2063, w^2 + w - 9]', '[2063, 2063, -2*w^3 + 2*w^2 + 10*w - 3]', '[2066, 2066, -4*w^2 + 11*w + 7]', '[2066, 2066, -8*w^3 + 20*w^2 + 25*w - 31]', '[2068, 1034, -9*w^3 + 20*w^2 + 29*w - 22]', '[2068, 1034, -2*w^3 + 7*w^2 + 4*w - 11]', '[2068, 1034, -w^3 - 2*w^2 + 5*w + 6]', '[2068, 1034, w^3 - 4*w^2 + w + 14]', '[2087, 2087, 4*w^3 - 7*w^2 - 15*w + 11]', '[2087, 2087, -3*w^3 + 7*w^2 + 6*w - 13]', '[2089, 2089, 5*w^3 - 6*w^2 - 28*w - 6]', '[2089, 2089, -4*w^3 + 3*w^2 + 23*w + 9]', '[2089, 2089, 9*w^3 - 9*w^2 - 49*w - 22]', '[2089, 2089, -12*w^3 + 18*w^2 + 56*w + 5]', '[2096, 262, 4*w^2 - 12*w - 6]', '[2096, 262, -6*w^3 + 10*w^2 + 26*w + 4]', '[2096, 262, 4*w^3 - 8*w^2 - 10*w - 4]', '[2096, 262, -4*w^3 + 4*w^2 + 24*w + 10]', '[2099, 2099, -2*w^3 + w^2 + 13*w + 1]', '[2099, 2099, -w^3 + 5*w^2 - 4*w - 9]', '[2104, 526, -5*w^3 + 3*w^2 + 31*w + 19]', '[2104, 526, w^3 - 5*w^2 + w + 9]', '[2104, 526, 7*w^3 - 9*w^2 - 37*w - 9]', '[2104, 526, 11*w^3 - 17*w^2 - 51*w - 5]', '[2106, 78, -3*w^3 + 3*w^2 + 18*w]', '[2106, 78, 3*w^2 - 9*w - 6]', '[2106, 78, -6*w^3 + 9*w^2 + 27*w]', '[2111, 2111, 4*w^3 - 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30*w + 7]', '[4274, 4274, -2*w^3 + 6*w^2 - 3*w - 5]', '[4276, 2138, -4*w^3 + 3*w^2 + 28*w + 7]', '[4276, 2138, 2*w^3 - 3*w^2 - 8*w - 9]', '[4276, 2138, 2*w^3 - 5*w^2 - 4*w - 5]', '[4276, 2138, -5*w^3 + 14*w^2 + 5*w + 2]', '[4283, 4283, 2*w^2 - 7*w - 8]', '[4283, 4283, -3*w^3 + 4*w^2 + 16*w - 6]', '[4297, 4297, -6*w^3 + 10*w^2 + 23*w - 2]', '[4297, 4297, -5*w^3 + 12*w^2 + 10*w - 8]', '[4302, 1434, -4*w^2 + 7*w + 7]', '[4302, 1434, w^3 - 6*w^2 + 4*w + 11]', '[4307, 4307, 5*w^3 - 13*w^2 - 12*w + 9]', '[4307, 4307, -w^3 + 4*w^2 - 3*w - 9]', '[4307, 4307, -3*w^3 + 4*w^2 + 15*w - 5]', '[4307, 4307, 2*w^3 - w^2 - 9*w - 9]', '[4311, 1437, 4*w^3 - 5*w^2 - 21*w + 1]', '[4311, 1437, -w^3 + 5*w^2 - 6*w - 7]', '[4316, 2158, -w^2 - 2*w + 9]', '[4316, 2158, w^3 + 2*w^2 - 15*w + 2]', '[4316, 2158, -3*w^3 + 2*w^2 + 21*w + 10]', '[4316, 2158, 4*w^3 - 9*w^2 - 14*w + 3]', '[4316, 2158, 7*w^3 - 8*w^2 - 35*w - 8]', '[4316, 2158, 5*w^3 - 16*w^2 - w + 12]', '[4328, 1082, 17*w^3 - 21*w^2 - 87*w - 29]', '[4328, 1082, w^3 + 3*w^2 - 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8]', '[5186, 5186, 5*w^3 - 11*w^2 - 18*w + 6]', '[5192, 1298, -7*w^3 + 13*w^2 + 29*w - 13]', '[5192, 1298, -w^3 + 3*w^2 - 5*w - 5]', '[5192, 1298, 3*w^3 - 9*w^2 - w + 9]', '[5192, 1298, 5*w^3 - 7*w^2 - 23*w + 1]', '[5193, 1731, 5*w^3 - 5*w^2 - 29*w - 18]', '[5193, 1731, 7*w^3 - 14*w^2 - 24*w + 10]', '[5202, 102, 2*w^3 - 6*w^2 - w + 13]', '[5202, 102, -w^3 - 3*w^2 + 14*w + 22]', '[5228, 2614, 9*w^3 - 16*w^2 - 31*w - 10]', '[5228, 2614, -9*w^3 + 20*w^2 + 23*w + 2]', '[5231, 5231, -5*w^3 + 8*w^2 + 24*w - 8]', '[5231, 5231, 6*w^3 - 12*w^2 - 22*w + 3]', '[5233, 5233, 6*w^3 - 7*w^2 - 34*w - 6]', '[5233, 5233, 5*w^2 - 16*w - 2]', '[5254, 5254, 7*w^3 - 15*w^2 - 22*w + 12]', '[5254, 5254, -4*w^3 + 7*w^2 + 11*w - 2]', '[5254, 5254, 2*w^3 - 4*w^2 - 9*w + 13]', '[5254, 5254, w^3 - 2*w^2 - 6*w - 7]', '[5256, 438, 13*w^3 - 19*w^2 - 61*w - 15]', '[5256, 438, 11*w^3 - 19*w^2 - 45*w - 1]', '[5258, 5258, 2*w^3 - w^2 - 17*w - 8]', '[5258, 5258, 2*w^3 - 17*w - 11]', '[5258, 5258, w^3 + 2*w^2 - 14*w + 1]', '[5258, 5258, 3*w^3 - 3*w^2 - 20*w + 6]', '[5269, 5269, -2*w^3 - w^2 + 16*w + 8]', '[5269, 5269, 2*w^3 - 9*w^2 + 4*w + 12]', '[5269, 5269, -4*w^2 + 14*w - 1]', '[5269, 5269, -6*w^3 + 8*w^2 + 32*w + 5]', '[5276, 2638, 3*w^3 - 2*w^2 - 15*w - 12]', '[5276, 2638, 2*w^3 + w^2 - 14*w - 19]', '[5279, 5279, -4*w^3 + 6*w^2 + 20*w - 7]', '[5279, 5279, -3*w^3 + 8*w^2 + 2*w - 8]', '[5279, 5279, -6*w^3 + 10*w^2 + 25*w - 6]', '[5279, 5279, -7*w^3 + 14*w^2 + 26*w - 6]', '[5283, 1761, -2*w^3 + w^2 + 12*w - 2]', '[5283, 1761, -2*w^3 + 7*w^2 - 14]', '[5284, 2642, -w^3 + 8*w^2 - 11*w - 8]', '[5284, 2642, 3*w^3 - 23*w - 12]', '[5288, 1322, w^3 - 5*w^2 - w + 17]', '[5288, 1322, -7*w^3 + 7*w^2 + 35*w + 17]', '[5291, 5291, -5*w^3 + 9*w^2 + 19*w - 12]', '[5291, 5291, -8*w^3 + 19*w^2 + 26*w - 20]', '[5291, 5291, 2*w^3 - 5*w^2 - 12*w + 12]', '[5291, 5291, 7*w^3 - 17*w^2 - 17*w + 20]', '[5291, 5291, 5*w^3 - 11*w^2 - 16*w + 3]', '[5291, 5291, -3*w^3 + 10*w^2 - 2*w - 8]', '[5291, 5291, 5*w^3 - 7*w^2 - 19*w + 4]', '[5291, 5291, -6*w^3 + 8*w^2 + 29*w + 2]', '[5291, 5291, 6*w^3 - 13*w^2 - 24*w + 8]', '[5291, 5291, 3*w^2 + 2*w - 8]', '[5291, 5291, -2*w^3 + 3*w^2 + 5*w + 7]', '[5291, 5291, -3*w^3 + 7*w^2 + 5*w - 12]', '[5302, 5302, -6*w^3 + 13*w^2 + 17*w - 12]', '[5302, 5302, -9*w^3 + 20*w^2 + 28*w - 21]', '[5302, 5302, 4*w^3 - 6*w^2 - 11*w + 3]', '[5302, 5302, 5*w^3 - 9*w^2 - 16*w + 6]', '[5303, 5303, 9*w^3 - 12*w^2 - 43*w - 7]', '[5303, 5303, -2*w^3 + 5*w^2 + w - 9]', '[5303, 5303, 5*w^3 - 9*w^2 - 20*w + 11]', '[5303, 5303, 8*w^3 - 12*w^2 - 37*w]', '[5312, 332, -6*w^2 + 16*w + 10]', '[5312, 332, 4*w^3 - 2*w^2 - 28*w - 6]', '[5317, 5317, -12*w^3 + 26*w^2 + 38*w - 37]', '[5317, 5317, -6*w^3 + 10*w^2 + 16*w - 17]', '[5317, 5317, -4*w^3 + 12*w^2 + 9*w - 14]', '[5317, 5317, -16*w^3 + 35*w^2 + 54*w - 50]', '[5317, 5317, -4*w^3 + 5*w^2 + 6*w - 14]', '[5317, 5317, -w^3 + 6*w^2 - 12]', '[5324, 22, -6*w^3 + 15*w^2 + 22*w - 23]', '[5324, 22, 4*w^3 - 11*w^2 - 16*w + 9]', '[5324, 242, 4*w^3 - 9*w^2 - 16*w + 3]', '[5324, 242, -2*w^3 + 5*w^2 + 10*w - 13]', '[5324, 2662, 6*w^3 - 11*w^2 - 24*w + 11]', '[5324, 2662, -2*w^3 + 5*w^2 - 7]', '[5326, 5326, 7*w^3 - 14*w^2 - 24*w + 9]', '[5326, 5326, 7*w^3 - 8*w^2 - 38*w - 19]', '[5328, 222, -4*w^3 + 12*w^2 + 8*w - 14]', '[5328, 222, -4*w^2 + 4*w + 10]', '[5329, 73, -3*w^3 + 6*w^2 + 9*w + 7]', '[5329, 73, -3*w^3 + 6*w^2 + 9*w - 13]', '[5329, 5329, -5*w^3 + 11*w^2 + 22*w - 17]', '[5329, 5329, 8*w^3 - 10*w^2 - 43*w - 10]', '[5344, 668, -4*w^3 + 12*w^2 + 10*w - 18]', '[5344, 668, -2*w^3 + 8*w^2 + 4*w - 10]', '[5351, 5351, -8*w^3 + 16*w^2 + 28*w - 19]', '[5351, 5351, -7*w^3 + 15*w^2 + 22*w - 5]', '[5374, 5374, 4*w^3 - 5*w^2 - 21*w - 12]', '[5374, 5374, 7*w^3 - 11*w^2 - 28*w - 4]', '[5374, 5374, 10*w^3 - 17*w^2 - 41*w + 2]', '[5374, 5374, 8*w^3 - 8*w^2 - 43*w - 25]', '[5378, 5378, -w^3 + 5*w^2 - 4*w - 12]', '[5378, 5378, 2*w^3 - w^2 - 13*w + 2]', '[5387, 5387, -2*w^3 + w^2 + 11*w - 3]', '[5387, 5387, -3*w^3 + 9*w^2 + 4*w - 17]', '[5391, 1797, -6*w^3 + 16*w^2 + 14*w - 13]', '[5391, 1797, -2*w^3 + 10*w + 11]', '[5391, 1797, 5*w^3 - 4*w^2 - 27*w - 19]', '[5391, 1797, 4*w^3 - 4*w^2 - 19*w - 12]', '[5392, 674, 4*w^3 - 6*w^2 - 22*w + 6]', '[5392, 674, -10*w^3 + 12*w^2 + 54*w + 14]', '[5392, 674, 2*w^3 - 2*w^2 - 16*w - 2]', '[5392, 674, -12*w^3 + 12*w^2 + 66*w + 28]', '[5398, 5398, 5*w^3 - 10*w^2 - 22*w + 7]', '[5398, 5398, -w^3 - 4*w^2 + 12*w + 21]', '[5399, 5399, 8*w^3 - 19*w^2 - 28*w + 20]', '[5399, 5399, -9*w^3 + 16*w^2 + 35*w + 3]', '[5399, 5399, -2*w^3 + 7*w^2 + 10*w - 12]', '[5399, 5399, 5*w^3 - 12*w^2 - 7*w - 3]', '[5402, 5402, -2*w^3 + 7*w^2 + 11*w]', '[5402, 5402, -5*w^3 + 12*w^2 + 16*w - 9]', '[5402, 5402, -2*w^2 - w + 9]', '[5402, 5402, 9*w^3 - 21*w^2 - 32*w + 34]', '[5408, 52, -6*w^3 + 14*w^2 + 20*w - 12]', '[5408, 52, -10*w^3 + 16*w^2 + 44*w + 6]', '[5408, 52, 2*w^2 + 2*w - 8]', '[5408, 52, -8*w^3 + 14*w^2 + 34*w]', '[5408, 676, -6*w^3 + 8*w^2 + 28*w + 2]', '[5408, 676, -4*w^3 + 12*w^2 + 2*w - 10]', '[5409, 1803, -6*w^3 + 17*w^2 + 13*w - 17]', '[5409, 1803, -6*w^3 + 5*w^2 + 34*w + 16]', '[5409, 1803, -4*w^3 + 8*w^2 + 15*w - 16]', '[5409, 1803, -9*w^3 + 13*w^2 + 44*w + 5]', '[5413, 5413, -3*w^3 + 4*w^2 + 10*w - 10]', '[5413, 5413, 4*w^3 - 5*w^2 - 19*w - 13]', '[5422, 5422, 4*w^2 - 5*w - 11]', '[5422, 5422, 3*w^3 - 4*w^2 - 18*w - 11]', '[5447, 5447, -w^3 + 6*w^2 + 3*w - 13]', '[5447, 5447, -2*w^3 + 7*w^2 - w - 11]', '[5447, 5447, 7*w^3 - 18*w^2 - 21*w + 19]', '[5447, 5447, 7*w^3 - 17*w^2 - 20*w + 15]', '[5447, 5447, 3*w^3 - 9*w^2 - 15*w + 4]', '[5447, 5447, -w^3 + w^2 + 12*w - 11]', '[5447, 5447, 6*w^3 - 11*w^2 - 27*w - 1]', '[5447, 5447, 3*w^3 - 3*w^2 - 16*w + 1]', '[5447, 5447, 5*w^3 - 5*w^2 - 29*w - 4]', '[5447, 5447, -9*w^3 + 21*w^2 + 33*w - 32]', '[5447, 5447, 2*w^3 - w^2 - 7*w - 7]', '[5447, 5447, -w^3 + 7*w^2 - 11*w - 8]', '[5449, 5449, 7*w^3 - 15*w^2 - 28*w + 13]', '[5449, 5449, 2*w^3 - 9*w^2 - 2*w + 20]', '[5464, 1366, 9*w^3 - 13*w^2 - 39*w - 5]', '[5464, 1366, w^3 - 5*w^2 + w + 19]', '[5468, 2734, -7*w^3 + 14*w^2 + 25*w - 4]', '[5468, 2734, -3*w^3 + 6*w^2 + 5*w + 4]', '[5471, 5471, -6*w^3 + 13*w^2 + 15*w - 17]', '[5471, 5471, 5*w^3 - 6*w^2 - 26*w - 2]', '[5473, 5473, 5*w^2 - 3*w - 13]', '[5473, 5473, w^3 - 3*w^2 - w - 6]', '[5473, 5473, -9*w^3 + 23*w^2 + 26*w - 29]', '[5473, 5473, 5*w^2 - w - 9]', '[5473, 5473, w^3 - w^2 - 5*w - 10]', '[5473, 5473, -7*w^3 + 19*w^2 + 18*w - 21]', '[5476, 74, 9*w^3 - 18*w^2 - 27*w - 4]', '[5476, 74, -5*w^3 + 10*w^2 + 15*w - 4]', '[5476, 2738, 5*w^3 - 8*w^2 - 25*w]', '[5476, 2738, w^3 - 13*w + 4]', '[5483, 5483, w^3 + 3*w^2 - 16*w - 11]', '[5483, 5483, 3*w^3 - 4*w^2 - 11*w - 13]', '[5483, 5483, -7*w^3 + 7*w^2 + 40*w + 17]', '[5483, 5483, -6*w^3 + 5*w^2 + 36*w + 18]', '[5498, 5498, w^3 - w^2 - 6]', '[5498, 5498, -6*w^3 + 13*w^2 + 21*w - 8]', '[5499, 1833, w^3 - 2*w^2 + 3*w + 7]', '[5499, 1833, -7*w^3 + 10*w^2 + 34*w]', '[5499, 1833, -12*w^3 + 28*w^2 + 38*w - 31]', '[5499, 1833, 5*w^3 - 8*w^2 - 20*w + 6]', '[5499, 1833, -8*w^3 + 15*w^2 + 34*w - 4]', '[5499, 1833, 8*w^3 - 13*w^2 - 30*w + 8]', '[5507, 5507, -3*w^3 + 4*w^2 + 15*w - 7]', '[5507, 5507, -w^3 + 4*w^2 - 3*w - 11]', '[5517, 1839, 2*w^2 - 11*w + 4]', '[5517, 1839, 7*w^3 - 12*w^2 - 32*w + 2]', '[5519, 5519, 4*w^3 - 11*w^2 - w + 7]', '[5519, 5519, 9*w^3 - 15*w^2 - 38*w + 5]', '[5524, 2762, -2*w^3 - w^2 + 22*w + 5]', '[5524, 2762, -6*w^3 + 9*w^2 + 30*w - 1]', '[5524, 2762, w^3 - 2*w^2 - w - 10]', '[5524, 2762, -5*w^3 + 12*w^2 + 11*w + 4]', '[5531, 5531, -12*w^3 + 12*w^2 + 66*w + 31]', '[5531, 5531, -4*w^3 + 3*w^2 + 27*w + 11]', '[5533, 5533, -6*w^3 + 14*w^2 + 19*w - 24]', '[5533, 5533, 7*w^3 - 12*w^2 - 26*w + 6]', '[5533, 5533, -7*w^3 + 14*w^2 + 23*w - 13]', '[5533, 5533, -w^3 + w^2 + 11*w + 12]', '[5533, 5533, -5*w^3 + 18*w^2 - 3*w - 15]', '[5533, 5533, -5*w^3 + 9*w^2 + 23*w - 20]', '[5533, 5533, 5*w^3 - 5*w^2 - 31*w - 4]', '[5533, 5533, 5*w^3 - 10*w^2 - 13*w + 9]', '[5546, 5546, 2*w^3 - 8*w^2 - 5*w + 17]', '[5546, 5546, 5*w^3 - 12*w^2 - 12*w + 19]', '[5546, 5546, w^3 - 6*w^2 + 6*w + 23]', '[5546, 5546, 3*w^3 - 11*w^2 - 6*w + 24]', '[5557, 5557, -5*w^3 + 11*w^2 + 12*w - 3]', '[5557, 5557, 6*w^3 - 11*w^2 - 21*w + 1]', '[5564, 2782, -3*w^3 + 10*w^2 + w - 14]', '[5564, 2782, -8*w^3 + 23*w^2 + 10*w - 13]', '[5564, 2782, 7*w^3 - 8*w^2 - 39*w - 16]', '[5564, 2782, w^3 - 8*w^2 + 15*w - 4]', '[5564, 2782, -w^2 - 2*w + 11]', '[5564, 2782, -4*w^3 + 9*w^2 + 14*w - 1]', '[5564, 2782, 3*w^2 - 2*w - 13]', '[5564, 2782, -3*w^3 + 4*w^2 + 15*w - 8]', '[5564, 2782, -3*w^3 + 2*w^2 + 17*w + 2]', '[5564, 2782, -8*w^3 + 9*w^2 + 38*w + 15]', '[5564, 2782, -4*w^3 + 11*w^2 + 10*w - 7]', '[5564, 2782, w^3 - 4*w^2 + 3*w + 12]', '[5569, 5569, 3*w^3 - 10*w^2 - 5*w + 11]', '[5569, 5569, -w^3 + 6*w^2 - w - 13]', '[5581, 5581, -7*w^3 + 15*w^2 + 17*w + 2]', '[5581, 5581, w^3 - w^2 - 4*w - 11]', '[5581, 5581, w^3 + 5*w^2 - 20*w - 9]', '[5581, 5581, -5*w^3 + 8*w^2 + 25*w - 5]', '[5584, 698, -2*w^3 + 8*w^2 - 12]', '[5584, 698, 4*w^2 - 6*w - 8]', '[5591, 5591, 2*w^3 + w^2 - 10*w - 12]', '[5591, 5591, 3*w^3 - 11*w^2 + 4*w + 9]', '[5591, 5591, 5*w^3 - 7*w^2 - 17*w - 6]', '[5591, 5591, -8*w^3 + 21*w^2 + 20*w - 20]', '[5594, 5594, 3*w^3 - 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10]', '[5651, 5651, w^2 + 2*w - 12]', '[5653, 5653, 5*w^3 - 10*w^2 - 22*w + 12]', '[5653, 5653, -2*w^3 + 6*w^2 + 4*w - 17]', '[5666, 5666, -4*w^3 + w^2 + 23*w + 20]', '[5666, 5666, 7*w^3 - 13*w^2 - 30*w + 2]', '[5666, 5666, 8*w^3 - 16*w^2 - 31*w + 9]', '[5666, 5666, 4*w^3 - 11*w^2 - 13*w + 20]', '[5668, 2834, -w^3 + 4*w^2 + w + 4]', '[5668, 2834, -w^3 + 6*w^2 - 3*w - 12]', '[5668, 2834, -3*w^3 + 14*w^2 - 15*w + 6]', '[5668, 2834, -2*w^3 + 3*w^2 + 14*w - 1]', '[5668, 2834, 4*w^3 - 13*w^2 - 6*w + 11]', '[5668, 2834, 5*w^2 - 6*w - 17]', '[5672, 1418, 11*w^3 - 17*w^2 - 49*w - 11]', '[5672, 1418, -7*w^3 + 7*w^2 + 41*w + 15]', '[5687, 517, 5*w^3 - 9*w^2 - 21*w + 12]', '[5687, 517, 3*w^3 - 7*w^2 - 2*w - 3]', '[5687, 517, -w^3 + 3*w^2 - 3*w - 8]', '[5687, 517, 8*w^3 - 15*w^2 - 31*w + 3]', '[5687, 5687, 3*w^3 - 2*w^2 - 18*w - 2]', '[5687, 5687, -3*w^3 + 2*w^2 + 21*w + 11]', '[5687, 5687, 6*w^3 - 4*w^2 - 37*w - 24]', '[5687, 5687, -2*w^3 + 8*w^2 - 3*w - 12]', '[5689, 5689, 4*w^2 - 4*w - 9]', '[5689, 5689, 4*w^3 - 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5*w + 10]', '[9767, 9767, -8*w^3 + 16*w^2 + 28*w - 3]', '[9767, 9767, -2*w^3 + 2*w^2 + 6*w + 19]', '[9767, 9767, 3*w^3 - 26*w - 12]', '[9767, 9767, 4*w^3 - 8*w^2 - 8*w - 5]', '[9769, 9769, -7*w^3 + 12*w^2 + 33*w - 1]', '[9769, 9769, -6*w^3 + 9*w^2 + 22*w]', '[9776, 1222, 4*w^3 - 4*w^2 - 16*w + 2]', '[9776, 1222, 2*w^3 + 2*w^2 - 20*w - 18]', '[9776, 1222, -10*w^3 + 24*w^2 + 34*w - 38]', '[9776, 1222, 2*w^3 - 6*w^2 + 14]', '[9776, 1222, 2*w^3 + 2*w^2 - 14*w - 20]', '[9776, 1222, 2*w^3 - 6*w^2 + 2*w + 20]', '[9781, 9781, -7*w^3 + 5*w^2 + 41*w + 24]', '[9781, 9781, -7*w^3 + 10*w^2 + 36*w + 4]', '[9788, 4894, 7*w^3 - 10*w^2 - 29*w - 16]', '[9788, 4894, -7*w^3 + 18*w^2 + 13*w]', '[9788, 4894, -7*w^3 + 14*w^2 + 25*w - 2]', '[9788, 4894, 3*w^3 - 6*w^2 - 5*w - 6]', '[9791, 9791, 6*w^3 - 12*w^2 - 22*w - 1]', '[9791, 9791, 2*w^3 - 4*w^2 - 2*w - 9]', '[9794, 9794, 13*w^3 - 23*w^2 - 52*w + 12]', '[9794, 9794, 6*w^3 - 10*w^2 - 23*w + 9]', '[9794, 9794, 12*w^3 - 25*w^2 - 45*w + 20]', '[9794, 9794, -6*w^3 + 18*w^2 + 11*w - 37]', '[9801, 33, -6*w^3 + 12*w^2 + 18*w - 3]', '[9801, 33, -6*w^3 + 12*w^2 + 18*w - 9]', '[9801, 363, 3*w^3 - 12*w^2 + 3*w + 9]', '[9801, 363, -3*w^3 + 21*w + 15]', '[9808, 1226, 4*w^3 - 14*w^2 - 2*w + 10]', '[9808, 1226, -2*w^3 - 2*w^2 + 16*w + 18]', '[9817, 9817, 8*w^3 - 16*w^2 - 33*w + 12]', '[9817, 9817, -6*w^3 + 13*w^2 + 22*w - 24]', '[9818, 9818, -2*w^3 + w^2 + 9*w + 12]', '[9818, 9818, -6*w^3 + 17*w^2 + 11*w - 24]', '[9819, 3273, w^3 - 3*w^2 - 8*w + 11]', '[9819, 3273, -2*w^3 + 16*w - 1]', '[9819, 3273, -6*w^3 + 13*w^2 + 23*w - 7]', '[9819, 3273, 4*w^2 - 10*w - 13]', '[9836, 4918, 2*w^3 - 7*w^2 + 2*w + 11]', '[9836, 4918, 4*w^3 - 5*w^2 - 20*w + 3]', '[9838, 9838, 12*w^3 - 24*w^2 - 49*w + 15]', '[9838, 9838, 5*w^3 - 15*w^2 - 14*w + 22]', '[9839, 9839, -3*w^3 + 3*w^2 + 15*w - 4]', '[9839, 9839, -3*w^3 + 9*w^2 + 3*w - 16]', '[9851, 9851, -5*w^3 + 13*w^2 + 14*w - 9]', '[9851, 9851, 7*w^3 - 14*w^2 - 26*w + 4]', '[9851, 9851, 3*w^2 - w - 13]', '[9851, 9851, 2*w^3 - 4*w^2 - w - 6]', '[9853, 9853, -10*w^3 + 10*w^2 + 53*w + 32]', '[9853, 9853, -11*w^3 + 16*w^2 + 47*w + 11]', '[9853, 9853, 5*w^3 - 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12*w - 10]', '[9958, 9958, 3*w^3 - 13*w^2 + 14*w + 4]', '[9971, 767, -8*w^3 + 21*w^2 + 26*w - 32]', '[9971, 767, 3*w^2 - 2*w - 16]', '[9971, 767, 3*w^2 - 9*w - 17]', '[9971, 767, -11*w^3 + 27*w^2 + 30*w - 35]', '[9971, 767, 4*w^3 - 13*w^2 - 14*w + 12]', '[9971, 767, 4*w^3 - 3*w^2 - 15*w + 1]', '[9971, 767, 4*w^3 - 11*w^2 - 10*w + 4]', '[9971, 767, 3*w^3 - 3*w^2 - 18*w + 11]', '[9971, 9971, -3*w^3 + 11*w^2 + w - 24]', '[9971, 9971, 3*w^3 - 3*w^2 - 17*w + 4]', '[9971, 9971, -w^3 + 5*w^2 - 5*w - 12]', '[9971, 9971, w^3 + 3*w^2 - 11*w]', '[9972, 1662, w^3 - 8*w^2 + 3*w + 22]', '[9972, 1662, 8*w^3 - 17*w^2 - 32*w + 15]', '[9972, 1662, w^3 + 4*w^2 - 15*w - 8]', '[9972, 1662, -w^3 + 8*w^2 - 9*w - 16]', '[9973, 9973, 3*w^3 - 6*w^2 - 7*w - 11]', '[9973, 9973, 7*w^3 - 9*w^2 - 38*w - 3]', '[9986, 9986, -5*w^3 + 3*w^2 + 26*w + 18]', '[9986, 9986, -4*w^3 + 12*w^2 + 11*w - 25]', '[9986, 9986, 4*w^3 - 11*w^2 - 7*w + 20]', '[9986, 9986, -2*w^3 - w^2 + 19*w + 22]', '[9988, 4994, -8*w^3 + 19*w^2 + 20*w - 15]', '[9988, 4994, 7*w^3 - 14*w^2 - 23*w + 8]', '[9988, 4994, 5*w^3 - 10*w^2 - 13*w + 4]', '[9988, 4994, -5*w^3 + 10*w^2 + 23*w - 24]', '[9997, 9997, -6*w^3 + 11*w^2 + 20*w - 2]', '[9997, 9997, -4*w^3 + 10*w^2 + 19*w - 8]', '[9997, 9997, -9*w^3 + 20*w^2 + 36*w - 30]', '[9997, 9997, -6*w^3 + 13*w^2 + 16*w - 6]', '[9997, 9997, -4*w^3 + 10*w^2 + 21*w - 4]', '[9997, 9997, -7*w^3 + 16*w^2 + 28*w - 22]', '[10000, 10, -10]'], 'label': '4.4.7488.1', 'narrow_class_no': 2, 'primes': ['[2, 2, -w^3 + 2*w^2 + 4*w - 1]', '[9, 3, w^3 - 2*w^2 - 3*w + 1]', '[11, 11, -w^3 + 2*w^2 + 4*w]', '[11, 11, -w + 2]', '[13, 13, w + 2]', '[13, 13, w^3 - 2*w^2 - 4*w + 4]', '[13, 13, -w^2 + 2*w + 2]', '[37, 37, -w^3 + 2*w^2 + 5*w - 3]', '[37, 37, w^3 - 2*w^2 - 5*w + 1]', '[47, 47, -2*w^3 + 2*w^2 + 10*w + 5]', '[47, 47, w^2 - w - 5]', '[59, 59, -w^3 + 3*w^2 + 3*w - 6]', '[59, 59, w^3 - 3*w^2 - 3*w + 2]', '[71, 71, -2*w^3 + 4*w^2 + 7*w]', '[71, 71, w^3 - 2*w^2 - 2*w - 2]', '[73, 73, w^3 - 2*w^2 - 4*w - 2]', '[73, 73, w - 4]', '[83, 83, w^3 - w^2 - 6*w + 1]', '[83, 83, w^2 - 3*w - 3]', '[97, 97, -3*w^3 + 5*w^2 + 12*w + 1]', '[97, 97, -2*w^3 + 5*w^2 + 3*w - 1]', '[107, 107, -2*w^3 + 3*w^2 + 9*w - 1]', '[107, 107, 2*w - 3]', '[107, 107, -w^3 + 3*w^2 - 3]', '[107, 107, 2*w^3 - 4*w^2 - 8*w + 1]', '[109, 109, -3*w^3 + 5*w^2 + 12*w - 1]', '[109, 109, 2*w^3 - 5*w^2 - 3*w + 3]', '[121, 11, -2*w^3 + 4*w^2 + 6*w - 3]', '[131, 131, 2*w^2 - 6*w - 3]', '[131, 131, -3*w^3 + 5*w^2 + 13*w + 2]', '[131, 131, 2*w^3 - 4*w^2 - 5*w - 2]', '[131, 131, -2*w^3 + 2*w^2 + 12*w + 5]', '[167, 167, -2*w^2 + 4*w + 9]', '[167, 167, -w^2 + 3*w + 5]', '[179, 179, -2*w^3 + 5*w^2 + 4*w - 6]', '[179, 179, 2*w^3 - 4*w^2 - 8*w - 1]', '[179, 179, -3*w^3 + 3*w^2 + 17*w + 8]', '[179, 179, -2*w^3 + 3*w^2 + 8*w - 2]', '[193, 193, 6*w^3 - 8*w^2 - 30*w - 7]', '[193, 193, -2*w^3 + w^2 + 13*w + 7]', '[227, 227, 3*w^3 - 4*w^2 - 15*w - 1]', '[227, 227, -3*w^3 + 7*w^2 + 8*w - 3]', '[229, 229, -3*w^3 + w^2 + 20*w + 15]', '[229, 229, -w^3 + 5*w^2 - 4*w - 5]', '[239, 239, -4*w^3 + 5*w^2 + 20*w + 4]', '[239, 239, -5*w^3 + 7*w^2 + 24*w + 3]', '[241, 241, -2*w^3 + 4*w^2 + 9*w - 4]', '[241, 241, -w^3 + 2*w^2 + 6*w - 2]', '[263, 263, -w^3 + 4*w^2 - w - 7]', '[263, 263, -2*w^3 + 5*w^2 + 3*w - 5]', '[263, 263, -w^3 + 7*w + 1]', '[263, 263, -3*w^3 + 5*w^2 + 12*w - 3]', '[277, 277, -2*w^3 + w^2 + 12*w + 8]', '[277, 277, 3*w^3 - 5*w^2 - 14*w + 1]', '[277, 277, 2*w^2 - 2*w - 3]', '[277, 277, -2*w^3 + 6*w^2 + 4*w - 9]', '[289, 17, -w^3 + 4*w^2 - 4]', '[289, 17, 2*w^2 - 3*w - 6]', '[313, 313, -w - 4]', '[313, 313, -2*w^3 + 3*w^2 + 11*w + 1]', '[313, 313, -w^3 + 2*w^2 + 4*w - 6]', '[313, 313, -2*w^3 + 14*w + 13]', '[337, 337, 2*w^3 - 3*w^2 - 11*w + 3]', '[337, 337, -5*w^3 + 6*w^2 + 27*w + 7]', '[337, 337, w^3 - w^2 - 8*w - 1]', '[337, 337, -6*w^3 + 6*w^2 + 33*w + 14]', '[349, 349, -w^3 + 4*w^2 - 6]', '[349, 349, 2*w^2 - 3*w - 4]', '[359, 359, -4*w^3 + 7*w^2 + 16*w + 2]', '[359, 359, -9*w^3 + 13*w^2 + 42*w + 9]', '[373, 373, w^3 + w^2 - 10*w - 5]', '[373, 373, 2*w^2 - 7*w]', '[373, 373, 3*w^2 - 7*w - 5]', '[373, 373, 3*w^3 - 4*w^2 - 16*w - 2]', '[383, 383, 2*w^3 - 6*w^2 - 3*w + 2]', '[383, 383, w^3 - 6*w - 8]', '[397, 397, -3*w^3 + 7*w^2 + 9*w - 12]', '[397, 397, -2*w^3 + 2*w^2 + 13*w]', '[409, 409, -2*w^3 + 4*w^2 + 5*w - 8]', '[409, 409, -3*w^3 + 6*w^2 + 10*w - 10]', '[419, 419, -w^3 + 3*w^2 + 4*w - 7]', '[419, 419, w^3 - 2*w^2 - w - 3]', '[419, 419, 3*w^3 - 6*w^2 - 11*w + 1]', '[419, 419, 2*w^3 - 5*w^2 - 7*w + 3]', '[421, 421, -w^3 + 4*w^2 + w - 7]', '[421, 421, -w^3 + 4*w^2 + w - 5]', '[431, 431, w^2 - 6]', '[431, 431, -2*w^3 + 5*w^2 + 6*w - 2]', '[443, 443, 2*w^3 - 5*w^2 - 7*w - 1]', '[443, 443, 6*w^3 - 6*w^2 - 33*w - 16]', '[443, 443, w^3 + w^2 - 11*w - 6]', '[443, 443, w^3 + w^2 - 11*w - 2]', '[457, 457, 2*w^3 - 5*w^2 - 3*w - 3]', '[457, 457, -3*w^3 + 5*w^2 + 12*w + 5]', '[479, 479, -2*w^2 + 5*w + 6]', '[479, 479, -w^3 + 8*w]', '[503, 503, -2*w^3 + 5*w^2 + 9*w - 9]', '[503, 503, -3*w^3 + 7*w^2 + 12*w - 5]', '[503, 503, -w^3 + 5*w^2 - 4*w - 7]', '[503, 503, -2*w^3 + 6*w^2 + 6*w - 11]', '[529, 23, 3*w^3 - 6*w^2 - 9*w + 1]', '[529, 23, -3*w^3 + 6*w^2 + 9*w - 5]', '[541, 541, -2*w^3 + w^2 + 12*w + 6]', '[541, 541, 2*w^3 - 7*w^2 + 6]', '[563, 563, -3*w^3 + 7*w^2 + 9*w - 4]', '[563, 563, 2*w^2 - 2*w - 9]', '[563, 563, w^3 - w^2 - 3*w - 4]', '[563, 563, -3*w^3 + 8*w^2 + 6*w - 10]', '[577, 577, -6*w^3 + 9*w^2 + 26*w + 2]', '[577, 577, w^3 - 3*w^2 - 2*w + 9]', '[587, 587, -w^3 + 3*w^2 - w - 4]', '[587, 587, -3*w^3 + 5*w^2 + 13*w - 4]', '[599, 599, -w^3 + 2*w^2 + 7*w - 7]', '[599, 599, 3*w^3 - 6*w^2 - 13*w + 1]', '[599, 599, -6*w^3 + 10*w^2 + 26*w + 1]', '[599, 599, -4*w^3 + 7*w^2 + 17*w + 1]', '[601, 601, -2*w^3 + 4*w^2 + 11*w - 8]', '[601, 601, 5*w^3 - 7*w^2 - 25*w - 4]', '[601, 601, -4*w^3 + 9*w^2 + 11*w - 9]', '[601, 601, -3*w^3 + 2*w^2 + 18*w + 10]', '[613, 613, -4*w^3 + 7*w^2 + 18*w - 2]', '[613, 613, -w^3 - w^2 + 8*w + 9]', '[625, 5, -5]', '[647, 647, 3*w^3 - 2*w^2 - 17*w - 13]', '[647, 647, w^2 + w - 5]', '[647, 647, -2*w^3 + 2*w^2 + 9*w + 6]', '[647, 647, -3*w^3 + 7*w^2 + 10*w - 5]', '[661, 661, -2*w^3 + 4*w^2 + 8*w - 9]', '[661, 661, -2*w - 5]', '[683, 683, -2*w^3 + 5*w^2 + 8*w - 2]', '[683, 683, -2*w^3 + 5*w^2 + 8*w - 10]', '[709, 709, -3*w^3 + 6*w^2 + 8*w]', '[709, 709, 3*w^2 - 6*w - 4]', '[733, 733, w^3 - 2*w^2 - 4*w - 4]', '[733, 733, w - 6]', '[743, 743, -3*w^3 + 4*w^2 + 14*w]', '[743, 743, -2*w^3 + 6*w^2 + w - 6]', '[769, 769, -2*w^3 + 4*w^2 + 10*w - 3]', '[769, 769, -2*w^3 + 4*w^2 + 10*w - 5]', '[827, 827, 2*w^2 - 6*w - 5]', '[827, 827, 2*w^3 - 2*w^2 - 12*w + 1]', '[839, 839, -3*w^3 + 7*w^2 + 12*w - 13]', '[839, 839, -w^3 + 4*w^2 - w - 11]', '[841, 29, -4*w^3 + 6*w^2 + 16*w + 1]', '[841, 29, -3*w^2 + 5*w + 15]', '[853, 853, -3*w^3 + 7*w^2 + 6*w - 3]', '[853, 853, -4*w^3 + 7*w^2 + 15*w - 1]', '[863, 863, -3*w^3 + 8*w^2 + 6*w]', '[863, 863, 2*w^3 - 2*w^2 - 9*w - 10]', '[877, 877, -3*w^3 + 8*w^2 + 4*w + 2]', '[877, 877, -2*w^3 + w^2 + 16*w + 4]', '[947, 947, -3*w^3 + 3*w^2 + 13*w + 6]', '[947, 947, -5*w^3 + 13*w^2 + 11*w - 10]', '[983, 983, w^3 - 6*w^2 + 6*w + 10]', '[983, 983, -4*w^3 + 6*w^2 + 16*w + 7]', '[997, 997, w^3 - 5*w^2 - 2*w + 9]', '[997, 997, -4*w^3 + 9*w^2 + 13*w - 15]', '[997, 997, 4*w^3 - 11*w^2 - 11*w + 13]', '[997, 997, 4*w^3 - 5*w^2 - 22*w - 2]']}
94. label: 4.4.7537.1
    {'degree': 4, 'discriminant': 7537, 'ideals': ['[1, 1, 1]', '[2, 2, w - 1]', '[3, 3, w]', '[4, 4, -w - 1]', '[6, 6, -w^2 + 3]', '[8, 2, -w^3 + 5*w + 1]', '[8, 8, w^3 - 4*w + 1]', '[9, 9, -w^3 - w^2 + 4*w + 3]', '[12, 12, w^3 - 5*w]', '[16, 2, 2]', '[16, 16, w^2 + w - 4]', '[18, 18, -w^3 + 3*w]', '[19, 19, w^3 - w^2 - 3*w + 2]', '[19, 19, -w^3 + 4*w - 2]', '[23, 23, w^3 + w^2 - 4*w - 5]', '[24, 6, -w^3 + 3*w + 3]', '[24, 24, w^3 + w^2 - 3*w - 3]', '[27, 3, -w^3 + w^2 + 5*w - 4]', '[27, 27, -w^3 + w^2 + 3*w]', '[31, 31, w^3 + w^2 - 4*w - 1]', '[32, 4, 2*w - 2]', '[32, 32, -w^3 + w^2 + 4*w - 2]', '[36, 36, w^3 - 4*w - 3]', '[38, 38, -w^3 + 2*w - 1]', '[38, 38, w^2 - w - 4]', '[46, 46, w^3 - 5*w + 2]', '[47, 47, -w^2 - w + 5]', '[48, 6, 2*w]', '[48, 48, w^3 + w^2 - 4*w]', '[53, 53, 2*w^3 - 2*w^2 - 9*w + 10]', '[54, 6, -w^3 - 2*w^2 + 2*w + 5]', '[54, 54, w + 3]', '[57, 57, -w^3 - w^2 + 2*w + 3]', '[57, 57, w^2 - 6]', '[59, 59, 2*w - 1]', '[59, 59, w^3 - 2*w - 2]', '[61, 61, -w^2 - 2*w + 4]', '[62, 62, -w^3 + w^2 + 3*w - 5]', '[64, 4, -w^3 + 2*w^2 + 3*w - 7]', '[64, 8, -2*w - 2]', '[64, 64, -w^3 - 2*w^2 + 3*w + 4]', '[67, 67, 2*w^2 - 7]', '[69, 69, 2*w^3 + w^2 - 9*w - 3]', '[72, 18, w^3 - 5*w + 3]', '[72, 72, 2*w^3 - w^2 - 8*w + 3]', '[73, 73, 5*w^3 + w^2 - 23*w - 8]', '[76, 76, -w^3 - w^2 + 5*w + 1]', '[76, 76, w^3 - 2*w^2 - 3*w + 4]', '[79, 79, -2*w^3 - w^2 + 9*w + 7]', '[79, 79, -w^3 + w^2 + 4*w - 1]', '[79, 79, w^3 - w^2 - w - 2]', '[79, 79, w^3 - 2*w^2 - 2*w + 2]', '[81, 3, 3]', '[81, 81, -w^3 + w^2 + 2*w - 3]', '[83, 83, w^3 + w^2 - 3*w - 4]', '[83, 83, 3*w^3 + w^2 - 13*w - 4]', '[89, 89, -w^3 + 6*w - 2]', '[89, 89, w^3 - 3*w^2 - 4*w + 11]', '[92, 92, -w^3 - w^2 + 3*w - 1]', '[93, 93, 2*w^2 - w - 6]', '[94, 94, w^3 + 2*w^2 - w - 4]', '[96, 12, -2*w^2 + 6]', '[96, 96, -w^2 + 2*w + 3]', '[97, 97, w^2 + 2*w - 2]', '[97, 97, 2*w^2 - w - 4]', '[103, 103, -w^3 + 3*w^2 + 2*w - 7]', '[106, 106, -w^3 - 2*w^2 + 4*w + 7]', '[107, 107, 2*w^3 + 2*w^2 - 8*w - 5]', '[108, 12, w^3 - w^2 - 5*w + 1]', '[108, 108, w^2 + 2*w - 3]', '[113, 113, -2*w^3 + 7*w + 2]', '[113, 113, w^3 - 3*w^2 - 3*w + 8]', '[114, 114, w^3 - w^2 - 4*w]', '[114, 114, 2*w^3 + w^2 - 7*w]', '[118, 118, 2*w^2 - 3*w + 1]', '[118, 118, 3*w^2 - 4*w - 1]', '[122, 122, -w^3 - w^2 + 6*w - 4]', '[124, 124, -2*w^3 + 9*w - 1]', '[127, 127, w^3 - 4*w + 4]', '[128, 4, -2*w^3 + 10*w + 2]', '[128, 16, 2*w^3 - 8*w + 2]', '[128, 128, w^3 - 6*w - 1]', '[131, 131, -2*w^2 - w + 8]', '[131, 131, w - 4]', '[134, 134, -w^3 - 3*w^2 + w + 5]', '[138, 138, w^3 - 2*w - 3]', '[139, 139, w^2 - w - 7]', '[141, 141, -w^3 - w^2 + 5*w]', '[144, 18, -2*w^3 - 2*w^2 + 8*w + 6]', '[144, 144, -w^3 + 2*w - 3]', '[146, 146, w^3 + w^2 - 5*w - 7]', '[152, 38, w^3 + 2*w^2 - 5*w - 7]', '[152, 38, -w^3 - 2*w^2 + 3*w + 7]', '[152, 152, w^3 - 2*w^2 - 3*w + 8]', '[152, 152, -w^3 + 5*w + 4]', '[157, 157, w^3 + w^2 - 6*w - 5]', '[158, 158, -w^3 + 6*w - 1]', '[158, 158, -w^3 + 2*w^2 + w - 4]', '[158, 158, -w^3 + 2*w^2 + 6*w - 11]', '[158, 158, 2*w^3 - 3*w^2 - 7*w + 8]', '[159, 159, w^2 + 2*w - 6]', '[162, 6, 3*w - 3]', '[162, 162, -w^3 - w^2 + 6*w]', '[166, 166, w^3 + w^2 - 5*w + 1]', '[166, 166, w^3 + w^2 - 3*w - 5]', '[167, 167, w^3 - 4*w - 4]', '[169, 13, 2*w^3 + w^2 - 10*w - 2]', '[169, 13, 2*w^3 + 2*w^2 - 9*w - 4]', '[171, 171, -2*w^3 + 2*w^2 + 7*w - 6]', '[171, 171, w^3 - 6*w]', '[173, 173, 4*w^3 + 3*w^2 - 18*w - 14]', '[173, 173, w^3 - w^2 - 6*w - 1]', '[177, 177, w^3 + 3*w^2 - 6*w - 3]', '[177, 177, 2*w^2 - w]', '[178, 178, w^2 - 4*w + 5]', '[178, 178, 4*w^3 + w^2 - 17*w - 4]', '[183, 183, -w^3 - 2*w^2 + 4*w]', '[184, 46, -w^3 + 2*w^2 + 5*w - 5]', '[184, 184, -2*w^3 + 7*w + 1]', '[186, 186, -2*w^2 - w + 3]', '[188, 188, w^3 + 2*w^2 - 4*w - 5]', '[192, 12, w^3 - 2*w^2 - 3*w + 3]', '[192, 24, 2*w^3 - 10*w]', '[192, 192, -2*w^3 + w^2 + 9*w - 6]', '[193, 193, w^3 - 2*w - 4]', '[193, 193, 3*w^3 - 3*w^2 - 12*w + 11]', '[194, 194, w^3 + w^2 - 4*w + 2]', '[194, 194, 2*w^3 - 3*w^2 - 3*w + 4]', '[197, 197, -2*w^3 - w^2 + 6*w + 4]', '[199, 199, 2*w^3 + 2*w^2 - 10*w - 11]', '[199, 199, -2*w^3 + 10*w + 1]', '[201, 201, 2*w^3 - 7*w]', '[206, 206, -2*w^3 - w^2 + 9*w + 2]', '[207, 207, -w^3 - 2*w^2 + 2*w + 6]', '[211, 211, w^2 - 2*w - 4]', '[211, 211, -4*w^3 + 17*w + 2]', '[212, 212, -2*w^3 + w^2 + 7*w - 4]', '[214, 214, 2*w^3 - 5*w - 1]', '[216, 6, -w^3 - 2*w^2 + 5*w + 5]', '[216, 24, -w^3 + w^2 + 2*w - 4]', '[216, 54, -w^3 + 2*w^2 + 3*w - 9]', '[216, 216, w^3 + 2*w^2 - 5*w - 6]', '[219, 219, 4*w^3 + 2*w^2 - 17*w - 12]', '[223, 223, w^3 - w^2 - 6*w + 5]', '[226, 226, -w^2 + 7]', '[226, 226, -3*w^3 + 5*w^2 + 7*w - 11]', '[227, 227, -w - 4]', '[227, 227, -w^3 - 2*w^2 + 6*w + 2]', '[228, 228, -w^3 - w^2 + 6*w + 6]', '[228, 228, 2*w^2 + w - 9]', '[229, 229, 2*w^3 - 2*w^2 - 8*w + 5]', '[236, 236, -2*w^2 - w + 1]', '[236, 236, -2*w^3 - 3*w^2 + 8*w + 5]', '[237, 237, w^2 - 3*w - 3]', '[237, 237, w^3 + w^2 - 3*w - 6]', '[237, 237, -2*w^3 - 2*w^2 + 12*w + 3]', '[237, 237, 2*w^3 - w^2 - 8*w]', '[239, 239, 4*w^3 + w^2 - 19*w - 7]', '[243, 9, 3*w]', '[243, 243, 2*w^3 - 8*w + 3]', '[244, 244, w^3 + 3*w^2 - 2*w - 4]', '[248, 62, w^3 - 3*w - 5]', '[248, 248, -w^2 - 2*w + 7]', '[249, 249, 2*w^3 + 2*w^2 - 8*w - 3]', '[249, 249, 2*w^3 - 7*w - 6]', '[251, 251, 2*w^3 - w^2 - 10*w + 2]', '[254, 254, w^2 + 4*w - 7]', '[256, 4, 4]', '[256, 32, 2*w^2 + 2*w - 8]', '[256, 256, -w^2 + w - 2]', '[262, 262, 2*w^3 + 4*w^2 - 3*w - 7]', '[262, 262, w^2 - 5*w + 4]', '[263, 263, w^3 - w^2 - 5*w + 8]', '[263, 263, -3*w^3 + 5*w^2 + 12*w - 17]', '[263, 263, w^3 - 3*w^2 + w + 4]', '[263, 263, 2*w^2 + w - 2]', '[267, 267, -2*w^3 + w^2 + 7*w - 3]', '[267, 267, -w^3 + w^2 + 2*w + 3]', '[268, 268, -2*w^3 - 2*w^2 + 7*w + 7]', '[269, 269, -w^3 + 2*w^2 + 4*w - 4]', '[271, 271, 3*w - 2]', '[276, 276, 2*w^3 - 3*w^2 - 8*w + 9]', '[277, 277, -w^3 - w^2 + 6*w - 1]', '[277, 277, w^2 + 3*w - 5]', '[278, 278, w^3 - 2*w^2 - 6*w + 7]', '[279, 279, 2*w^3 - w^2 - 6*w]', '[281, 281, 2*w^3 - 12*w - 5]', '[282, 282, -w^3 + w^2 - w + 3]', '[283, 283, -2*w^3 + 9*w - 2]', '[288, 36, -2*w^3 + 6*w]', '[288, 288, -3*w^3 - w^2 + 13*w + 3]', '[291, 291, w^3 + 2*w^2 - 2*w]', '[291, 291, 2*w^3 - w^2 - 4*w]', '[292, 292, w^3 - w^2 - 6*w + 4]', '[293, 293, -w^2 - 3*w + 7]', '[304, 38, 2*w^3 - 2*w^2 - 6*w + 4]', '[304, 38, -2*w^3 + 8*w - 4]', '[304, 304, -3*w^3 - w^2 + 9*w - 1]', '[304, 304, 3*w - 1]', '[309, 309, 2*w^3 - 2*w^2 - 10*w + 9]', '[313, 313, 2*w^3 - 2*w^2 - 6*w + 5]', '[314, 314, w^3 - 2*w^2 - 3*w + 2]', '[316, 316, -w^3 + 7*w + 2]', '[316, 316, -3*w^3 + 12*w + 1]', '[316, 316, w^2 - 3*w + 4]', '[316, 316, -2*w^3 - w^2 + 9*w + 8]', '[318, 318, -2*w^3 + 2*w^2 + 7*w - 3]', '[321, 321, 4*w^3 + 2*w^2 - 13*w - 6]', '[324, 12, -3*w - 3]', '[324, 324, w^3 + 2*w^2 - 3*w]', '[331, 331, -4*w^2 - w + 14]', '[331, 331, -3*w^2 + 3*w + 5]', '[332, 332, w^3 + w^2 - 6*w + 2]', '[332, 332, -3*w^3 - 3*w^2 + 11*w + 7]', '[334, 334, 3*w^3 - 2*w^2 - 12*w + 7]', '[337, 337, 4*w^3 - 16*w + 1]', '[338, 26, w^3 - w^2 - 4]', '[338, 26, 2*w^3 - w^2 - 3*w - 2]', '[339, 339, -2*w^3 + 2*w^2 + 4*w - 3]', '[339, 339, -3*w^3 - w^2 + 14*w + 9]', '[342, 342, 3*w^3 + 2*w^2 - 12*w - 9]', '[342, 342, -w^2 + 2*w - 3]', '[346, 346, 3*w^3 - w^2 - 12*w + 2]', '[346, 346, -w^3 + w - 2]', '[347, 347, -4*w^3 - w^2 + 16*w + 2]', '[354, 354, -w^3 + w^2 + w - 3]', '[354, 354, -2*w^3 + w^2 + 6*w - 3]', '[356, 356, 2*w^3 - w^2 - 8*w - 1]', '[356, 356, w^3 + 2*w^2 - 3*w - 8]', '[359, 359, 2*w^2 - 2*w - 7]', '[359, 359, -2*w^3 + w^2 + 10*w - 4]', '[361, 19, 3*w^3 - 6*w^2 - 12*w + 22]', '[361, 19, -2*w^3 + 3*w^2 + 6*w - 10]', '[361, 361, -w^2 - 2]', '[361, 361, -w^3 - w^2 + 2*w + 5]', '[366, 366, 3*w^3 - 2*w^2 - 10*w + 9]', '[368, 46, 2*w^3 + 2*w^2 - 8*w - 10]', '[368, 368, -3*w^2 + 2*w + 5]', '[372, 372, -2*w^3 - w^2 + 7*w + 6]', '[373, 373, -w^3 + w^2 + 2*w - 5]', '[373, 373, -2*w^3 + w^2 + 8*w + 2]', '[376, 94, -w^3 + 2*w^2 + 3*w - 1]', '[376, 376, 2*w^3 - w^2 - 5*w + 2]', '[379, 379, 2*w^3 - 2*w^2 - 5*w + 4]', '[381, 381, w^3 + w^2 - 3]', '[384, 12, -2*w^3 + 6*w + 6]', '[384, 48, 2*w^3 + 2*w^2 - 6*w - 6]', '[384, 384, 2*w^3 + w^2 - 6*w + 3]', '[386, 386, 3*w^2 - 6*w + 1]', '[386, 386, -2*w^3 + w^2 + 6*w - 7]', '[388, 388, -2*w^3 - w^2 + 5*w + 4]', '[388, 388, -w^3 - 3*w^2 + 2]', '[393, 393, w^2 - 4*w]', '[393, 393, -2*w^3 - w^2 + 8*w]', '[394, 394, -w^3 - 3*w^2 + 6*w + 2]', '[397, 397, -4*w^3 - w^2 + 18*w + 10]', '[397, 397, -2*w^3 - 3*w^2 + 10*w + 14]', '[398, 398, 2*w^3 - 2*w^2 - 9*w + 5]', '[398, 398, -w + 5]', '[402, 402, 3*w^2 - w - 6]', '[409, 409, -2*w^3 + w^2 + 10*w - 8]', '[409, 409, 3*w^2 - 10]', '[412, 412, -w^3 + w + 4]', '[414, 414, 2*w^3 - w^2 - 9*w]', '[417, 417, w^3 - w^2 - 7*w]', '[419, 419, 2*w^3 + w^2 - 9*w - 1]', '[419, 419, -2*w^3 + w^2 + 6*w - 2]', '[422, 422, w^3 - 3*w^2 - 2*w + 4]', '[422, 422, -3*w^2 + w + 10]', '[423, 423, -2*w^3 + 4*w + 3]', '[424, 106, -w^3 + 2*w^2 + w - 5]', '[424, 424, w^3 - 4*w^2 - 3*w + 10]', '[428, 428, -6*w^3 - 4*w^2 + 21*w + 11]', '[431, 431, 3*w^3 - w^2 - 12*w - 1]', '[431, 431, 4*w^3 + w^2 - 18*w - 4]', '[432, 6, -2*w^3 + 2*w^2 + 10*w - 8]', '[432, 48, -2*w^3 - w^2 + 10*w + 1]', '[432, 54, -2*w^3 + 2*w^2 + 6*w]', '[432, 432, 2*w^3 - 2*w^2 - 5*w + 3]', '[433, 433, 2*w^3 + 2*w^2 - 11*w - 8]', '[437, 437, 2*w^3 - w^2 - 5*w + 1]', '[437, 437, -4*w^3 - w^2 + 16*w + 4]', '[438, 438, 2*w^3 - 11*w - 3]', '[446, 446, 2*w^3 + 3*w^2 - 4*w - 7]', '[452, 452, -3*w^3 - 2*w^2 + 10*w + 1]', '[452, 452, w^3 + w^2 - w - 5]', '[454, 454, -2*w^3 + 3*w^2 + 1]', '[454, 454, -w^2 - 3*w + 4]', '[456, 114, -w^3 + 7*w - 3]', '[456, 114, 3*w^3 - 11*w - 3]', '[456, 456, -w^3 + 2*w^2 + 4*w - 3]', '[456, 456, 2*w^3 - w^2 - 10*w + 9]', '[457, 457, 3*w^2 - 8]', '[458, 458, -2*w^3 + 4*w^2 + 5*w - 11]', '[461, 461, -3*w - 4]', '[461, 461, w^3 + 3*w^2 - 3*w - 8]', '[471, 471, 3*w^3 - 3*w^2 - 7*w]', '[472, 118, -w^3 + 5*w + 5]', '[472, 118, 3*w^3 + 2*w^2 - 13*w - 5]', '[472, 472, w^3 + 2*w^2 - 2*w - 7]', '[472, 472, w^2 + 3*w - 2]', '[474, 474, 2*w^3 - 9*w + 3]', '[474, 474, w^3 + w^2 - 7*w + 3]', '[474, 474, -w^3 + 3*w^2 - 6]', '[474, 474, -w^3 + w^2 + 3*w + 3]', '[477, 477, 2*w^3 - 3*w^2 - 9*w + 9]', '[478, 478, w^3 - 4*w - 5]', '[479, 479, -3*w^3 + w^2 + 12*w - 7]', '[486, 18, -3*w^2 + 9]', '[486, 486, -w^3 - 2*w^2 + 6*w + 9]', '[487, 487, 2*w^3 - 3*w^2 - 7*w + 7]', '[488, 122, -w^3 + 3*w - 5]', '[488, 488, -4*w^2 - 3*w + 13]', '[491, 491, -w^3 - 3*w^2 + 6*w + 5]', '[496, 62, 2*w^3 + 2*w^2 - 8*w - 2]', '[496, 496, 4*w^3 + w^2 - 16*w - 5]', '[498, 498, -w^3 + w^2 + 2*w - 6]', '[498, 498, 2*w^3 + 2*w^2 - 9*w - 3]', '[501, 501, 5*w^3 + w^2 - 21*w - 6]', '[502, 502, -w^3 + w^2 + 4*w - 8]', '[507, 39, 3*w^3 - 10*w - 6]', '[507, 39, 4*w^3 + w^2 - 12*w - 6]', '[508, 508, -2*w^3 - w^2 + 4*w - 1]', '[512, 8, w^3 + 2*w^2 - 7*w - 1]', '[512, 8, 4*w - 4]', '[512, 64, -2*w^3 + 2*w^2 + 8*w - 4]', '[512, 512, 3*w^3 - 3*w^2 - 11*w + 11]', '[513, 57, -w^3 + w^2 + 2*w - 7]', '[513, 57, 2*w^3 + w^2 - 7*w - 7]', '[513, 513, w^3 - w^2 - 4*w - 3]', '[513, 513, -3*w^2 + 2*w + 6]', '[519, 519, w^3 + 3*w^2 - 7*w - 6]', '[519, 519, 5*w^3 - w^2 - 20*w - 3]', '[524, 524, 2*w^3 + 3*w^2 - 7*w - 8]', '[524, 524, -w^2 + 3*w + 4]', '[526, 526, 2*w^3 - w^2 - 10*w - 1]', '[526, 526, w^2 - 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w^2 - 9*w - 1]', '[577, 577, -2*w^3 - 3*w^2 + 7*w + 7]', '[577, 577, w^2 + 2*w - 10]', '[577, 577, 4*w^3 - 18*w - 5]', '[579, 579, w^3 + 3*w^2 - 8*w - 3]', '[579, 579, 3*w^2 - w - 9]', '[582, 582, -w^3 + 5*w - 6]', '[582, 582, -3*w^3 + 10*w - 3]', '[584, 146, w^3 - 4*w^2 - 3*w + 17]', '[584, 584, -3*w^3 - w^2 + 16*w + 10]', '[586, 586, 3*w^3 + w^2 - 10*w - 2]', '[587, 587, -w^3 - 2*w^2 + 6*w + 10]', '[589, 589, -2*w^3 - 2*w^2 + 6*w - 1]', '[589, 589, w^3 - 2*w^2 + 4]', '[591, 591, -3*w^3 - 4*w^2 + 12*w + 6]', '[597, 597, -2*w^3 + 9*w + 6]', '[597, 597, 4*w^3 - w^2 - 16*w]', '[599, 599, 3*w^3 + w^2 - 12*w - 1]', '[599, 599, 3*w^3 + 2*w^2 - 12*w - 10]', '[601, 601, w^2 - 8]', '[603, 603, 2*w^3 + 3*w^2 - 8*w - 6]', '[608, 76, -2*w^3 + 4*w - 2]', '[608, 76, 2*w^2 - 2*w - 8]', '[608, 608, -w - 5]', '[608, 608, w^3 - 4*w^2 - 4*w + 13]', '[613, 613, -3*w^2 - w + 5]', '[617, 617, 3*w^3 - 3*w^2 - 11*w + 10]', '[618, 618, w^3 + 3*w^2 - w - 9]', '[619, 619, 2*w^3 - 4*w^2 - 7*w + 16]', '[621, 69, 2*w^3 - 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2*w - 8]', '[1552, 1552, 3*w^3 - 3*w^2 - 8*w + 10]', '[1552, 1552, 4*w^3 + w^2 - 14*w + 5]', '[1553, 1553, 3*w^3 + 5*w^2 - 13*w - 8]', '[1557, 1557, -3*w^3 + w^2 + 8*w - 3]', '[1557, 1557, 2*w^3 - 5*w^2 - 6*w + 18]', '[1559, 1559, -3*w^3 + 5*w^2 + 9*w - 16]', '[1567, 1567, 2*w^3 - 4*w - 5]', '[1567, 1567, -w^3 + 4*w^2 + 4*w - 20]', '[1567, 1567, 4*w^3 - 4*w^2 - 15*w + 14]', '[1567, 1567, -3*w^3 + w^2 + 15*w - 4]', '[1571, 1571, -w^3 - 3*w^2 + 8*w - 1]', '[1571, 1571, -3*w^3 - w^2 + 12*w - 1]', '[1572, 1572, 5*w^3 + 3*w^2 - 16*w - 6]', '[1572, 1572, -3*w^3 + 16*w - 3]', '[1574, 1574, w^2 + 4*w - 11]', '[1574, 1574, 2*w^3 + 2*w^2 - 9*w + 1]', '[1576, 394, -7*w^3 - 4*w^2 + 29*w + 13]', '[1576, 1576, -2*w^2 - 5*w + 1]', '[1577, 1577, -2*w^3 - 3*w^2 + 11*w + 13]', '[1577, 1577, -2*w^3 + 3*w^2 + 7*w - 5]', '[1577, 1577, w^2 - 2*w - 10]', '[1577, 1577, -3*w^2 - 4*w + 8]', '[1578, 1578, 4*w^3 + w^2 - 11*w + 6]', '[1578, 1578, 2*w^3 + w^2 - 12*w + 3]', '[1578, 1578, -3*w^3 - 2*w^2 + 11*w]', '[1578, 1578, -w^3 + w^2 - 2*w + 6]', '[1583, 1583, 3*w^3 - 3*w^2 - 12*w + 7]', '[1587, 1587, 3*w^3 - w^2 - 10*w + 3]', '[1588, 1588, -w^3 + 4*w^2 - 2*w + 1]', '[1588, 1588, 3*w^3 - 6*w^2 - 8*w + 17]', '[1592, 398, -5*w^3 + 6*w^2 + 23*w - 25]', '[1592, 398, -9*w^3 - 4*w^2 + 41*w + 25]', '[1592, 1592, -2*w^3 + w^2 + 12*w + 1]', '[1592, 1592, 3*w^3 + 4*w^2 - 12*w - 17]', '[1593, 177, w^3 - w^2 - 5*w + 10]', '[1593, 177, 2*w^3 + w^2 - 10*w + 2]', '[1593, 1593, w^3 - 5*w^2 + 5*w + 6]', '[1593, 1593, 4*w^3 - 5*w^2 - 6*w]', '[1594, 1594, 3*w^3 - 2*w^2 - 10*w + 5]', '[1594, 1594, -4*w^3 + 3*w^2 + 17*w - 8]', '[1597, 1597, -3*w^3 + 7*w^2 + 12*w - 25]', '[1602, 1602, -4*w^2 + 3*w + 9]', '[1602, 1602, -2*w^3 + 3*w^2 + 11*w - 12]', '[1607, 1607, 3*w^3 - 16*w - 4]', '[1608, 402, 5*w^3 + 4*w^2 - 21*w - 15]', '[1608, 1608, w^3 - w^2 - w + 9]', '[1609, 1609, 5*w^2 + w - 17]', '[1609, 1609, -w^3 + 5*w^2 + 2*w - 19]', '[1613, 1613, -2*w^3 + 2*w^2 + 8*w - 1]', '[1614, 1614, -3*w^3 + w^2 + 13*w - 9]', '[1618, 1618, 3*w^3 - 2*w^2 - 7*w + 4]', '[1619, 1619, 4*w^3 + 2*w^2 - 15*w - 10]', '[1619, 1619, 7*w^3 + 5*w^2 - 28*w - 19]', '[1621, 1621, w^3 + 3*w^2 - 3*w - 14]', '[1626, 1626, -3*w^3 + 2*w^2 + 9*w - 6]', '[1627, 1627, w^3 - 2*w - 8]', '[1627, 1627, 4*w^3 + 3*w^2 - 12*w - 8]', '[1636, 1636, -3*w^3 - 3*w^2 + 10*w + 10]', '[1636, 1636, 3*w^3 - w^2 - 10*w + 2]', '[1637, 1637, 4*w^3 + w^2 - 20*w - 4]', '[1637, 1637, 3*w^3 - 3*w^2 - 7*w + 2]', '[1642, 1642, -3*w^3 + 3*w^2 + 9*w - 7]', '[1643, 1643, 2*w^3 - w^2 - 9*w + 11]', '[1647, 183, -4*w^3 + 4*w^2 + 17*w - 22]', '[1647, 1647, -2*w^3 + 4*w^2 + w - 6]', '[1648, 206, -2*w^3 + 6*w^2 + 4*w - 14]', '[1648, 1648, 3*w^2 + 2*w - 17]', '[1656, 414, -3*w^3 + 2*w^2 + 15*w - 9]', '[1656, 1656, -3*w^3 - 2*w^2 + 16*w + 3]', '[1657, 1657, -w^3 - 4]', '[1657, 1657, -5*w^3 + 5*w^2 + 22*w - 25]', '[1662, 1662, -2*w^3 + 4*w^2 + 7*w - 9]', '[1662, 1662, -4*w^3 + 3*w^2 + 13*w - 12]', '[1663, 1663, 2*w^3 - 3*w^2 - 9*w + 7]', '[1668, 1668, -7*w^3 + w^2 + 32*w]', '[1669, 1669, -w^3 - w^2 + 9*w - 2]', '[1671, 1671, 2*w^3 + 4*w^2 - 10*w - 15]', '[1674, 186, -4*w^3 + w^2 + 17*w + 2]', '[1674, 1674, w^3 - 8*w + 3]', '[1676, 1676, -5*w^3 - 2*w^2 + 18*w + 7]', '[1676, 1676, 3*w^3 + 3*w^2 - 12*w - 4]', '[1678, 1678, w^3 + 4*w^2 - 8*w - 1]', '[1678, 1678, 3*w^3 - 2*w^2 - 9*w + 2]', '[1679, 1679, 4*w^3 - 3*w^2 - 19*w + 7]', '[1686, 1686, -2*w^3 - w^2 - w]', '[1688, 422, 5*w^3 - 23*w - 7]', '[1688, 422, -3*w^3 + 6*w^2 + 15*w - 29]', '[1688, 1688, -4*w^3 + 15*w - 1]', '[1688, 1688, 3*w^3 + 2*w^2 - 11*w - 10]', '[1691, 1691, 4*w^3 - w^2 - 16*w + 8]', '[1691, 1691, 3*w^3 - 2*w^2 - 12*w + 2]', '[1691, 1691, -2*w^3 + 7*w^2 + 2*w - 16]', '[1691, 1691, w^3 - 3*w^2 - 7*w + 16]', '[1692, 1692, 2*w^3 + w^2 - 6*w - 9]', '[1693, 1693, 5*w^3 - 22*w - 8]', '[1696, 212, -2*w^3 - 4*w^2 + 8*w + 14]', '[1696, 1696, -3*w^3 + 3*w^2 + 10*w - 16]', '[1697, 1697, -4*w^3 - w^2 + 14*w + 4]', '[1697, 1697, w^3 + w^2 - w - 8]', '[1698, 1698, -3*w^3 + 4*w^2 + 13*w - 12]', '[1699, 1699, -6*w^3 - 5*w^2 + 28*w + 22]', '[1699, 1699, w^3 + 2*w^2 - 2*w - 10]', '[1706, 1706, 3*w^3 - 8*w^2 - 11*w + 22]', '[1707, 1707, 3*w^3 - w^2 - 7*w]', '[1709, 1709, 3*w^3 - 7*w^2 - 14*w + 31]', '[1712, 214, 4*w^3 + 4*w^2 - 16*w - 10]', '[1712, 1712, 2*w^3 + w^2 - 3*w + 2]', '[1713, 1713, -3*w^3 - 4*w^2 + 18*w + 12]', '[1713, 1713, 2*w^3 - 3*w^2 - 9*w - 3]', '[1718, 1718, -w^2 - w + 10]', '[1718, 1718, w^3 - 6*w - 7]', '[1721, 1721, w^3 - 5*w^2 - 4*w + 17]', '[1723, 1723, w^3 + 4*w^2 - 4*w - 8]', '[1724, 1724, -5*w^3 - 2*w^2 + 25*w + 10]', '[1724, 1724, w^3 + 2*w^2 - 10*w + 5]', '[1726, 1726, -w^3 + w^2 + w - 7]', '[1726, 1726, w^3 - 4*w^2 - 2*w + 5]', '[1728, 12, -w^3 - 2*w^2 - w + 5]', '[1728, 24, 2*w^3 - 2*w^2 - 10*w + 2]', '[1728, 108, 3*w^3 + 2*w^2 - 13*w - 3]', '[1728, 192, -4*w^3 + w^2 + 14*w - 7]', '[1728, 216, 2*w^2 + 4*w - 6]', '[1728, 1728, -3*w^3 + 2*w^2 + 14*w - 3]', '[1731, 1731, -5*w^3 - 3*w^2 + 15*w + 6]', '[1731, 1731, 2*w^3 + 5*w^2 - 14*w - 12]', '[1731, 1731, 6*w^2 - 8*w - 9]', '[1731, 1731, w^3 + 2*w^2 - 10*w]', '[1732, 1732, -6*w^3 - w^2 + 27*w + 14]', '[1733, 1733, -2*w^3 + 2*w^2 + 9*w - 2]', '[1733, 1733, -w^3 - w^2 + 3*w - 4]', '[1737, 1737, 3*w^3 - w^2 - 9*w]', '[1737, 1737, 2*w^3 + 2*w^2 - 12*w - 9]', '[1741, 1741, w^3 + 3*w^2 - 9*w - 8]', '[1741, 1741, 2*w^3 + 2*w^2 - 4*w - 7]', '[1746, 1746, -w^3 - 2*w + 3]', '[1746, 1746, -3*w^3 - 5*w^2 + 9*w + 9]', '[1747, 1747, 2*w^2 + 4*w - 5]', '[1748, 1748, 4*w^3 + w^2 - 20*w - 5]', '[1748, 1748, -2*w^3 + 2*w^2 + 11*w - 1]', '[1752, 438, -3*w^3 + 2*w^2 + 13*w - 3]', '[1752, 1752, -9*w^3 - w^2 + 41*w + 9]', '[1754, 1754, -5*w^2 - 4*w + 11]', '[1754, 1754, -3*w^3 - w^2 + 5*w + 5]', '[1758, 1758, w^3 + 3*w^2 - 3*w - 15]', '[1759, 1759, 2*w^3 + 2*w^2 - 10*w - 1]', '[1761, 1761, -3*w^3 + w^2 + 14*w + 3]', '[1762, 1762, 2*w^3 - w^2 - w - 4]', '[1766, 1766, -w^3 - 8*w^2 - 2*w + 19]', '[1767, 1767, 3*w^3 - 5*w^2 - 12*w + 15]', '[1767, 1767, -3*w^3 - w^2 + 13*w]', '[1773, 1773, -w^3 + w^2 + 11*w + 6]', '[1774, 1774, 2*w^3 - w^2 - 4*w + 5]', '[1777, 1777, -w^2 - 4]', '[1777, 1777, 2*w^3 - 2*w^2 - 8*w - 1]', '[1784, 446, w^3 + 4*w^2 - 7*w - 7]', '[1784, 1784, 2*w^3 - 2*w^2 - 3*w + 5]', '[1786, 1786, w^3 - 4*w^2 + 3*w - 2]', '[1786, 1786, 5*w^2 - 11]', '[1787, 1787, 2*w^3 - 2*w^2 - 11*w + 8]', '[1787, 1787, -8*w^3 - 4*w^2 + 32*w + 17]', '[1789, 1789, 11*w^3 + 2*w^2 - 48*w - 14]', '[1791, 1791, 2*w^3 - 6*w^2 - 8*w + 21]', '[1791, 1791, -9*w^3 - 3*w^2 + 38*w + 15]', '[1797, 1797, 4*w^3 + 3*w^2 - 13*w - 9]', '[1797, 1797, 2*w^3 + 3*w^2 - 15*w - 3]', '[1803, 1803, w^3 - 8*w]', '[1808, 226, -4*w^3 + 14*w + 4]', '[1808, 226, 2*w^3 - 6*w^2 - 6*w + 16]', '[1808, 1808, w^3 - 3*w^2 - 4*w + 4]', '[1808, 1808, -6*w^3 + 8*w^2 + 21*w - 29]', '[1809, 201, w^3 - w^2 - 8*w + 7]', '[1809, 1809, 2*w^3 - w^2 - 13*w - 3]', '[1811, 1811, -5*w^3 + 4*w^2 + 20*w - 16]', '[1814, 1814, w^3 - 5*w^2 - 7*w + 13]', '[1814, 1814, 3*w^3 + 4*w^2 - 10*w - 13]', '[1814, 1814, -w^3 - 3*w^2 - w + 7]', '[1814, 1814, w^3 - 5*w^2 - 3*w + 13]', '[1816, 454, -3*w^3 + 6*w^2 + 11*w - 17]', '[1816, 454, -5*w^3 - 2*w^2 + 19*w + 11]', '[1816, 1816, w^3 + 4*w^2 - w - 4]', '[1816, 1816, -w^2 - w - 4]', '[1817, 1817, w^3 - 3*w^2 - 2*w + 13]', '[1817, 1817, -4*w^3 + 2*w^2 + 14*w - 1]', '[1817, 1817, -6*w^3 + 25*w + 4]', '[1817, 1817, -3*w^3 + 10*w + 10]', '[1822, 1822, -3*w^3 + 13*w - 4]', '[1822, 1822, 3*w^3 - 4*w^2 - 5*w + 4]', '[1824, 228, 2*w^3 - 2*w^2 - 8*w]', '[1824, 228, 4*w^3 + 2*w^2 - 14*w]', '[1824, 1824, -w^2 - 5*w]', '[1824, 1824, -3*w^3 + w^2 + 9*w - 3]', '[1828, 1828, -3*w^3 - 3*w^2 + 8*w + 8]', '[1829, 1829, 3*w^3 + w^2 - 6*w - 5]', '[1829, 1829, 2*w^3 - 1]', '[1831, 1831, -5*w^3 + 20*w + 4]', '[1831, 1831, 4*w^2 - 2*w - 11]', '[1832, 458, 3*w^3 + 4*w^2 - 15*w - 19]', '[1832, 1832, w^3 - 6*w^2 - 4*w + 23]', '[1839, 1839, -3*w^3 - w^2 + 5*w]', '[1843, 1843, -2*w^3 - 5*w^2 + 3*w + 13]', '[1843, 1843, w^3 - 5*w^2 - 4*w + 11]', '[1843, 1843, 4*w^2 - w - 10]', '[1843, 1843, -2*w^2 + 8*w - 5]', '[1844, 1844, -3*w^3 - w^2 + 10*w + 8]', '[1844, 1844, -w^3 + 7*w^2 + 2*w - 14]', '[1851, 1851, 4*w^2 - 2*w - 9]', '[1854, 1854, w^2 - 7*w + 6]', '[1857, 1857, -2*w^3 + 3*w^2 + 8*w - 6]', '[1858, 1858, 3*w^3 - 2*w^2 - 6*w + 1]', '[1863, 69, 3*w^3 + 3*w^2 - 12*w - 15]', '[1863, 1863, -4*w^2 + w + 12]', '[1867, 1867, -6*w^3 - 3*w^2 + 29*w + 19]', '[1875, 15, -5*w]', '[1877, 1877, -w^3 + 4*w^2 + 4*w - 8]', '[1877, 1877, -4*w^2 + 2*w + 17]', '[1878, 1878, -6*w^3 + w^2 + 25*w]', '[1879, 1879, 3*w^2 + 2*w - 14]', '[1879, 1879, -3*w^2 + 5*w + 7]', '[1882, 1882, 4*w^2 - 5*w + 1]', '[1884, 1884, 2*w^3 + w^2 - 10*w + 3]', '[1888, 236, 4*w^2 - 6*w + 2]', '[1888, 236, 6*w^2 - 8*w - 2]', '[1888, 1888, 3*w^3 - 2*w^2 - 8*w + 1]', '[1888, 1888, w^3 - 3*w^2 + 8]', '[1891, 1891, -3*w^3 - 3*w^2 + 5*w + 8]', '[1893, 1893, w^3 - w^2 + 2*w + 3]', '[1894, 1894, w^3 - 3*w^2 - 5*w + 5]', '[1896, 474, 5*w^3 - 2*w^2 - 17*w - 3]', '[1896, 474, -w^3 + 4*w^2 + 5*w - 9]', '[1896, 474, -w^3 + 4*w^2 - w - 9]', '[1896, 474, -w^3 - 2*w^2 + w + 9]', '[1896, 1896, -4*w^3 - w^2 + 14*w + 3]', '[1896, 1896, -3*w^3 + w^2 + 8*w]', '[1896, 1896, -w^3 + 2*w^2 + 2*w + 3]', '[1896, 1896, 3*w^3 + 2*w^2 - 12*w - 15]', '[1899, 1899, 4*w^3 - 6*w^2 - 15*w + 18]', '[1899, 1899, 5*w^3 + 3*w^2 - 19*w - 12]', '[1901, 1901, -w^3 + 8*w - 2]', '[1906, 1906, w^3 - 7*w^2 - 6*w + 20]', '[1906, 1906, w^3 + 2*w - 7]', '[1907, 1907, -w^3 + 3*w^2 + w - 10]', '[1907, 1907, -2*w^3 + w^2 + 12*w - 8]', '[1908, 1908, -w^3 + 2*w^2 + 8*w - 3]', '[1909, 1909, 4*w^3 - w^2 - 15*w + 5]', '[1909, 1909, -3*w^3 - 2*w^2 + 14*w + 14]', '[1912, 478, w^3 - 4*w^2 - w + 13]', '[1912, 1912, -2*w^3 - w^2 + 13*w + 8]', '[1913, 1913, -2*w^3 - 5*w^2 + 7*w + 17]', '[1913, 1913, -2*w^3 + 7*w + 8]', '[1916, 1916, 5*w^3 + 2*w^2 - 17*w - 2]', '[1922, 1922, -4*w^3 - w^2 + 12*w - 1]', '[1923, 1923, w^3 - 2*w^2 + 6]', '[1923, 1923, -4*w^3 - 2*w^2 + 14*w + 9]', '[1926, 1926, -w^3 - 2*w^2 - 3*w]', '[1929, 1929, -2*w^3 - w^2 + 4*w + 6]', '[1931, 1931, -2*w - 7]', '[1934, 1934, w^3 + w^2 - 5*w + 5]', '[1934, 1934, 3*w^3 - w^2 - 6*w - 4]', '[1942, 1942, 3*w^3 - w^2 - 8*w + 2]', '[1944, 18, -3*w^3 + 9*w + 9]', '[1944, 72, 3*w^3 + 3*w^2 - 9*w - 9]', '[1944, 486, -w^3 - w - 3]', '[1944, 1944, -2*w^3 - 5*w^2 + 6*w + 9]', '[1948, 1948, -w^3 + 8*w - 1]', '[1951, 1951, 2*w^2 - 13]', '[1951, 1951, -4*w^3 + 3*w^2 + 18*w - 16]', '[1952, 244, -2*w^3 - 2*w^2 + 12*w - 8]', '[1952, 1952, -3*w^3 + 4*w^2 + 9*w - 14]', '[1954, 1954, 4*w^2 - w - 11]', '[1954, 1954, -w^3 + 2*w^2 + w - 8]', '[1954, 1954, w^3 + 5*w^2 - 3*w - 17]', '[1954, 1954, -5*w^2 + 4*w + 7]', '[1957, 1957, -4*w^3 + w^2 + 19*w - 7]', '[1957, 1957, -2*w^3 - w^2 + 10*w - 4]', '[1959, 1959, -2*w^2 - 3*w + 12]', '[1964, 1964, 5*w^3 + 2*w^2 - 15*w - 8]', '[1966, 1966, -2*w^3 - w^2 - w + 8]', '[1971, 219, 5*w^3 + 4*w^2 - 22*w - 16]', '[1971, 1971, -5*w^2 + 2*w + 24]', '[1973, 1973, -3*w^2 - w - 1]', '[1979, 1979, -4*w^3 + 15*w + 2]', '[1982, 1982, w^3 + 4*w^2 - 5*w - 14]', '[1982, 1982, -2*w^3 + 5*w^2 + 5*w - 16]', '[1984, 124, -3*w^3 + 2*w^2 + 9*w - 5]', '[1984, 248, -4*w^3 + 18*w - 2]', '[1984, 1984, 3*w^3 - 4*w^2 - 15*w + 16]', '[1986, 1986, -5*w^3 + 6*w^2 + 19*w - 30]', '[1986, 1986, w^2 - 3*w + 6]', '[1987, 1987, 3*w^3 - w^2 - 10*w - 7]', '[1992, 498, 3*w^3 - 11*w - 9]', '[1992, 498, -3*w^3 + 2*w^2 + 9*w - 3]', '[1992, 1992, -5*w^3 - w^2 + 23*w + 3]', '[1992, 1992, w^3 + 2*w^2 + 3]', '[1993, 1993, 2*w^3 - 3*w^2 - 6*w + 2]', '[1994, 1994, 4*w^3 + w^2 - 13*w - 4]', '[1994, 1994, 2*w^3 + 2*w^2 - 11*w - 1]', '[1999, 1999, -3*w^3 + w^2 + 9*w - 2]', '[1999, 1999, 2*w^3 - 6*w^2 - 10*w + 25]', '[2003, 2003, -4*w^3 - 3*w^2 + 16*w + 14]', '[2003, 2003, 5*w^3 + w^2 - 19*w - 2]', '[2004, 2004, 3*w^3 - 3*w^2 - 8*w + 6]', '[2007, 2007, -w^3 + w^2 - 3*w]', '[2008, 502, 5*w^3 - 8*w^2 - 19*w + 31]', '[2008, 2008, w^3 + 5]', '[2014, 2014, 3*w^3 - 2*w^2 - 15*w + 8]', '[2014, 2014, -2*w^3 + 5*w^2 + 11*w - 14]', '[2018, 2018, -w^3 + 5*w^2 + w - 11]', '[2018, 2018, w^3 + 4*w^2 - 4*w - 13]', '[2019, 2019, -4*w^2 + 3]', '[2019, 2019, -2*w^3 + w^2 + 6*w + 6]', '[2022, 2022, 4*w^3 + w^2 - 13*w]', '[2026, 2026, -7*w + 11]', '[2026, 2026, 7*w^2 - 6*w - 7]', '[2028, 156, -7*w^3 - 3*w^2 + 29*w + 21]', '[2028, 156, -7*w^3 - 2*w^2 + 28*w + 15]', '[2031, 2031, 5*w^3 + 2*w^2 - 24*w - 6]', '[2032, 254, 2*w^3 - 8*w + 8]', '[2032, 2032, -w^3 + 6*w^2 + 9*w - 22]', '[2033, 2033, -w^3 - 4*w^2 + 4]', '[2033, 2033, -w^3 - w^2 + 9*w + 2]', '[2034, 2034, -w^3 + 2*w^2 + 4*w + 3]', '[2034, 2034, w^2 + 6*w - 9]', '[2038, 2038, 3*w^3 - 3*w^2 - 11*w + 5]', '[2039, 2039, -4*w^3 - 2*w^2 + 18*w + 5]', '[2043, 2043, -2*w^3 + 2*w^2 + 10*w + 3]', '[2043, 2043, -2*w^2 - 5*w + 12]', '[2047, 2047, 6*w^3 - 28*w + 1]', '[2047, 2047, -w^2 - 3*w - 5]', '[2048, 8, -4*w^3 + 20*w + 4]', '[2048, 32, 4*w^3 - 16*w + 4]', '[2048, 256, 2*w^3 - 12*w - 2]', '[2048, 2048, -3*w^3 - w^2 + 12*w - 2]', '[2052, 228, -w^3 - 2*w^2 + 2*w + 11]', '[2052, 228, w^3 + 5*w^2 - 2*w - 14]', '[2052, 2052, -w^3 + 5*w^2 + 2*w - 12]', '[2052, 2052, 3*w^3 + w^2 - 8*w - 6]', '[2053, 2053, -3*w^3 + w^2 + 8*w - 1]', '[2061, 2061, 5*w^3 + w^2 - 22*w - 3]', '[2062, 2062, -2*w^3 + 7*w^2 - 4*w - 7]', '[2066, 2066, w^3 - 4*w^2 + 11]', '[2073, 2073, 5*w^3 + 2*w^2 - 18*w - 6]', '[2073, 2073, 2*w^3 - 12*w + 3]', '[2076, 2076, 2*w^3 + 3*w^2 - 4*w - 9]', '[2076, 2076, 4*w^3 - 3*w^2 - 19*w + 12]', '[2077, 2077, -w^3 + 3*w^2 + 6*w - 5]', '[2081, 2081, 6*w^3 - 5*w^2 - 26*w + 22]', '[2081, 2081, 2*w^3 + 3*w^2 - 7*w - 13]', '[2082, 2082, -3*w^3 + 4*w^2 + 16*w - 9]', '[2083, 2083, 2*w^3 - 4*w^2 - 4*w + 11]', '[2083, 2083, -5*w^3 - 5*w^2 + 21*w + 20]', '[2087, 2087, 10*w^3 + 5*w^2 - 43*w - 25]', '[2089, 2089, 2*w^3 + w^2 - 5*w - 7]', '[2089, 2089, -2*w^3 + 3*w^2 + 6*w - 14]', '[2096, 262, -4*w^2 - 2*w + 16]', '[2096, 262, 2*w - 8]', '[2096, 2096, -w^3 + 4*w + 7]', '[2096, 2096, w^3 - 3*w^2 - 8*w + 16]', '[2098, 2098, -3*w^2 - 4*w + 13]', '[2102, 2102, -w^3 + 4*w^2 + 8*w - 11]', '[2102, 2102, w^3 - 6*w^2 - 3*w + 14]', '[2102, 2102, 3*w^3 - 5*w^2 - 3*w + 7]', '[2102, 2102, 4*w^3 - 15*w - 1]', '[2103, 2103, 4*w^3 + 2*w^2 - 9*w - 6]', '[2104, 526, -3*w^3 + 2*w^2 + 15*w - 7]', '[2104, 526, -w^3 - w + 7]', '[2104, 526, -3*w^3 + 2*w^2 + 11*w + 1]', '[2104, 526, -w^3 + 9*w + 7]', '[2104, 2104, 3*w^3 - 2*w^2 - 9*w + 4]', '[2104, 2104, -2*w^3 + 11*w - 11]', '[2104, 2104, 3*w^3 + 5*w^2 - 9*w - 11]', '[2104, 2104, 5*w^3 - 4*w^2 - 21*w + 20]', '[2111, 2111, 5*w^3 - 24*w - 4]', '[2116, 2116, -2*w^3 - 3*w^2 + 6*w + 11]', '[2124, 2124, w^3 + 2*w^2 - 10*w - 3]', '[2124, 2124, -4*w^3 + w^2 + 11*w + 6]', '[2126, 2126, 3*w^3 - 3*w^2 - 7*w + 5]', '[2126, 2126, w^3 + w^2 - 9*w + 1]', '[2127, 2127, 3*w^3 + 3*w^2 - 13*w - 18]', '[2129, 2129, 3*w^2 + 3*w - 13]', '[2131, 2131, -3*w - 8]', '[2131, 2131, 4*w^3 + 4*w^2 - 16*w - 7]', '[2133, 237, -4*w^3 + w^2 + 14*w + 2]', '[2133, 237, -w^3 + 4*w^2 + 2*w - 16]', '[2133, 237, 2*w^3 + w^2 - 13*w + 5]', '[2133, 237, -2*w^3 + 5*w^2 + 4*w - 14]', '[2133, 2133, -2*w^3 - 3*w^2 + 3*w + 9]', '[2133, 2133, 4*w^3 - 4*w^2 - 17*w + 12]', '[2133, 2133, 4*w^2 + w - 6]', '[2133, 2133, 3*w^3 - 2*w^2 - 8*w - 6]', '[2136, 534, -3*w^3 - 4*w^2 + 13*w + 15]', '[2136, 534, -3*w^3 - 4*w^2 + 21*w + 3]', '[2136, 2136, 3*w^3 + w^2 - 14*w]', '[2136, 2136, -2*w^3 + 3*w^2 + 6*w - 15]', '[2137, 2137, -2*w^3 + 3*w^2 + 12*w - 4]', '[2138, 2138, -2*w^2 - 3*w + 13]', '[2138, 2138, -2*w^3 + w^2 + 6*w - 11]', '[2139, 2139, -3*w^3 - w^2 + 9*w - 6]', '[2141, 2141, 4*w^3 - 2*w^2 - 15*w + 4]', '[2141, 2141, 4*w^2 + 2*w - 7]', '[2141, 2141, 4*w^3 - 3*w^2 - 15*w + 11]', '[2141, 2141, 5*w^3 - 7*w^2 - 17*w + 22]', '[2143, 2143, 2*w^3 - 6*w^2 - 7*w + 20]', '[2143, 2143, 2*w^3 + w^2 - 5*w - 13]', '[2144, 268, -2*w^3 - 6*w^2 + 2*w + 10]', '[2144, 2144, 5*w^3 + 3*w^2 - 15*w - 5]', '[2147, 2147, w^3 - w^2 + 5]', '[2147, 2147, 2*w^3 - 2*w^2 - 4*w - 5]', '[2147, 2147, -4*w^3 + 9*w^2 + 16*w - 28]', '[2147, 2147, 2*w^3 - w^2 - 17*w + 19]', '[2151, 2151, -2*w^3 - w^2 + 11*w - 3]', '[2152, 538, -w^3 - 2*w^2 + 7*w + 11]', '[2152, 2152, 5*w^2 + w - 16]', '[2154, 2154, 3*w^2 + 2*w - 15]', '[2154, 2154, -5*w^3 + 4*w^2 + 20*w - 15]', '[2161, 2161, 2*w^3 + 2*w^2 - 5*w - 8]', '[2161, 2161, -3*w^3 + 14*w - 4]', '[2162, 2162, -w^3 - 5*w^2 + 3*w + 5]', '[2166, 114, -2*w^3 + w^2 + 3*w + 6]', '[2166, 114, w^3 + w^2 - 2*w - 12]', '[2166, 2166, w^3 + 4*w^2 - 4*w - 9]', '[2166, 2166, 2*w^3 - 2*w^2 - 5*w + 9]', '[2168, 542, -w^3 + 5*w + 7]', '[2168, 2168, w^3 + 3*w^2 - w - 11]', '[2186, 2186, 4*w^3 - 5*w^2 - 11*w + 8]', '[2187, 9, -3*w^3 + 3*w^2 + 15*w - 12]', '[2187, 81, -3*w^3 + 3*w^2 + 9*w]', '[2187, 2187, 4*w^3 - 3*w^2 - 15*w + 9]', '[2196, 2196, 5*w - 3]', '[2199, 2199, w^3 - 3*w^2 - 4*w + 3]', '[2199, 2199, -7*w^3 - 3*w^2 + 30*w + 21]', '[2203, 2203, -w^3 + w^2 + 3*w - 10]', '[2203, 2203, 4*w^3 - 5*w^2 - 19*w + 19]', '[2206, 2206, 6*w^3 + 3*w^2 - 19*w + 2]', '[2206, 2206, -2*w^3 + 6*w^2 + 9*w - 17]', '[2207, 2207, -4*w^3 + 7*w^2 + 13*w - 23]', '[2208, 276, 2*w^3 - 4*w - 6]', '[2208, 2208, w^3 + w^2 - 6*w + 6]', '[2209, 2209, 3*w^3 - 4*w^2 - 14*w + 22]', '[2213, 2213, w^3 - 5*w^2 - 3*w + 16]', '[2213, 2213, -w^2 - 5*w + 11]', '[2216, 554, -3*w^3 - 2*w^2 + 11*w + 11]', '[2216, 554, w^3 - 3*w + 7]', '[2216, 2216, -w^3 + w^2 + 4*w - 10]', '[2216, 2216, 5*w^2 + 4*w - 17]', '[2217, 2217, -w^3 - 2*w^2 + 2*w + 12]', '[2217, 2217, -4*w^3 - 4*w^2 + 22*w + 9]', '[2218, 2218, w^3 + w^2 - 7*w + 7]', '[2221, 2221, -4*w^3 - 3*w^2 + 20*w + 20]', '[2221, 2221, 4*w^3 - 5*w^2 - 18*w + 26]', '[2224, 278, 2*w^2 - 2*w - 14]', '[2224, 2224, w^3 - 7*w^2 - 7*w + 25]', '[2228, 2228, 2*w^3 - 5*w^2 - 9*w + 14]', '[2231, 2231, -3*w^2 + 3*w + 11]', '[2231, 2231, 5*w^3 + w^2 - 21*w - 2]', '[2232, 558, w^3 + 2*w^2 - 5*w + 3]', '[2232, 2232, -2*w^2 + 3*w + 9]', '[2237, 2237, -4*w^3 + 3*w^2 + 19*w - 11]', '[2238, 2238, 4*w^2 + 3*w - 15]', '[2238, 2238, -3*w^3 - 2*w^2 + 14*w + 3]', '[2241, 249, 4*w^3 - w^2 - 17*w + 7]', '[2241, 249, w^3 + 2*w^2 - 8*w - 8]', '[2241, 2241, -5*w^2 + 18]', '[2241, 2241, 4*w^3 - w^2 - 13*w - 3]', '[2242, 2242, -2*w^3 - 7*w^2 + 9*w + 8]', '[2242, 2242, -w^3 - 6*w^2 + 4*w + 7]', '[2242, 2242, -w^3 - 4*w^2 + 7*w + 8]', '[2242, 2242, 2*w^3 - 3*w^2 - 7*w + 4]', '[2246, 2246, 5*w^3 - w^2 - 20*w + 4]', '[2246, 2246, 3*w^3 + 2*w^2 - 16*w - 13]', '[2248, 562, w^3 - 2*w^2 + w + 5]', '[2248, 2248, 2*w^3 + 3*w^2 + 2*w + 1]', '[2251, 2251, -3*w^3 - 3*w^2 + 16*w + 13]', '[2256, 282, -2*w^3 - 2*w^2 + 10*w]', '[2256, 2256, -2*w^2 - 5*w + 9]', '[2259, 2259, -4*w^3 + 3*w^2 + 18*w - 18]', '[2263, 2263, -5*w^3 - 3*w^2 + 22*w + 19]', '[2264, 566, -5*w^3 - 4*w^2 + 21*w + 19]', '[2264, 2264, -w^3 + 3*w^2 + 3*w - 17]', '[2267, 2267, 3*w^3 - 3*w^2 - 7*w + 4]', '[2269, 2269, w^3 - w^2 + 3*w - 2]', '[2269, 2269, w^3 - 3*w^2 - 8*w + 7]', '[2271, 2271, -2*w^3 - 2*w^2 + 10*w - 3]', '[2274, 2274, -5*w^3 - 5*w^2 + 19*w + 9]', '[2276, 2276, -3*w^3 - 2*w^2 + 8*w + 7]', '[2281, 2281, 3*w^3 + 3*w^2 - 14*w - 5]', '[2284, 2284, -3*w^3 + 2*w^2 + 7*w - 2]', '[2284, 2284, -3*w^3 + 2*w^2 + 17*w + 8]', '[2286, 2286, -4*w^3 + 11*w - 3]', '[2287, 2287, -4*w^3 - w^2 + 17*w + 1]', '[2293, 2293, -2*w^3 + 2*w^2 + 4*w - 7]', '[2293, 2293, 8*w^3 - 37*w - 8]', '[2304, 36, -4*w^3 - 4*w^2 + 16*w + 12]', '[2304, 288, -2*w^3 + 4*w - 6]', '[2304, 2304, 3*w^3 + 4*w^2 - 12*w - 9]', '[2306, 2306, 4*w^3 - 3*w^2 - 15*w + 10]', '[2307, 2307, 2*w^3 + 3*w^2 - 11*w - 3]', '[2308, 2308, 7*w^3 + 6*w^2 - 22*w - 13]', '[2308, 2308, 2*w^3 - 7*w^2 - w + 8]', '[2308, 2308, -w^3 - 3*w^2 + 8*w + 10]', '[2308, 2308, 2*w^3 - 5*w^2 - 4*w + 7]', '[2309, 2309, 9*w^3 + 5*w^2 - 38*w - 23]', '[2309, 2309, w^3 + w^2 - 5*w - 10]', '[2316, 2316, -3*w^3 - 2*w^2 + 10*w + 9]', '[2316, 2316, -4*w^3 - 2*w^2 + 21*w + 3]', '[2318, 2318, -2*w^3 + 5*w^2 + 8*w - 13]', '[2318, 2318, 2*w^3 + 8*w^2 - 5*w - 13]', '[2319, 2319, -w^2 + 4*w + 6]', '[2326, 2326, -5*w^3 + 20*w + 1]', '[2326, 2326, 5*w^2 + w - 14]', '[2328, 582, -3*w^3 - 2*w^2 + 15*w + 3]', '[2328, 582, -w^3 + 6*w^2 - 5*w - 9]', '[2328, 2328, 2*w^3 - 3*w + 3]', '[2328, 2328, 6*w^3 + 5*w^2 - 19*w - 6]', '[2336, 292, 2*w^3 + 2*w^2 - 10*w - 14]', '[2336, 2336, -5*w^2 - 2*w + 19]', '[2341, 2341, 5*w^3 - 5*w^2 - 23*w + 26]', '[2342, 2342, -3*w^3 - w^2 + 7*w - 5]', '[2342, 2342, -4*w^2 - 3*w + 7]', '[2344, 586, -3*w^3 + 13*w - 5]', '[2344, 2344, 2*w^3 - 5*w^2 - 12*w + 19]', '[2347, 2347, 2*w^3 - 2*w^2 - 10*w + 1]', '[2348, 2348, 4*w^3 + w^2 - 20*w - 13]', '[2351, 2351, 5*w - 2]', '[2356, 2356, 3*w^3 + 4*w^2 - 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w^2 + 3*w - 7]', '[2399, 2399, -7*w^3 + w^2 + 33*w + 4]', '[2401, 7, -7]', '[2403, 267, 2*w^3 - 5*w^2 - 10*w + 26]', '[2403, 267, -4*w^3 - 2*w^2 + 14*w - 1]', '[2403, 2403, -7*w^2 + 10*w + 12]', '[2403, 2403, -2*w^3 + w^2 + 12*w]', '[2404, 2404, -w^3 - w^2 + 8*w + 8]', '[2411, 2411, -w^3 + 5*w^2 + 2*w - 13]', '[2411, 2411, -4*w^3 - 4*w^2 + 16*w + 17]', '[2412, 2412, -3*w^3 - 4*w^2 + 14*w + 15]', '[2413, 2413, 4*w^3 - 5*w^2 - 12*w + 14]', '[2413, 2413, -5*w^3 + w^2 + 19*w - 14]', '[2417, 2417, 2*w^3 + w^2 - 12*w + 4]', '[2417, 2417, -4*w^3 - w^2 + 13*w + 1]', '[2421, 2421, -4*w^3 - 2*w^2 + 16*w + 3]', '[2426, 2426, -2*w^3 - w^2 + 3*w - 4]', '[2426, 2426, -7*w^3 - w^2 + 29*w + 5]', '[2427, 2427, 4*w^3 + w^2 - 11*w - 3]', '[2432, 76, 2*w^3 + 4*w^2 - 10*w - 14]', '[2432, 76, -2*w^3 - 4*w^2 + 6*w + 14]', '[2432, 304, 2*w^3 - 4*w^2 - 6*w + 16]', '[2432, 304, -2*w^3 + 10*w + 8]', '[2432, 2432, 2*w^3 + 3*w^2 - 5*w - 10]', '[2432, 2432, -w^3 - 4*w^2 + 7*w + 10]', '[2438, 2438, w^3 - 6*w^2 - 7*w + 22]', '[2439, 2439, -4*w^3 - 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20*w + 5]', '[4243, 4243, w^3 + 4*w^2 - 14]', '[4243, 4243, 4*w^3 + w^2 - 12*w - 8]', '[4248, 1062, w^3 + 3*w - 9]', '[4248, 1062, w^3 - 2*w^2 + 5*w - 3]', '[4248, 4248, -3*w^3 + 3*w^2 + 11*w - 3]', '[4248, 4248, 5*w^2 - 2*w - 15]', '[4252, 4252, -5*w^3 - 3*w^2 + 17*w + 11]', '[4252, 4252, -7*w^3 - 3*w^2 + 35*w + 19]', '[4254, 4254, 5*w^3 + 2*w^2 - 20*w - 3]', '[4258, 4258, -5*w^3 - 8*w^2 + 9*w + 14]', '[4259, 4259, -w - 8]', '[4261, 4261, 5*w^2 - 3*w - 13]', '[4261, 4261, 3*w^3 - w^2 - 16*w + 5]', '[4262, 4262, -3*w^2 - 5*w + 8]', '[4262, 4262, 4*w^3 - 7*w - 5]', '[4266, 474, w^3 - 4*w^2 - 5*w + 22]', '[4266, 474, 5*w^3 + w^2 - 16*w + 2]', '[4266, 474, 4*w^3 - w^2 - 11*w + 4]', '[4266, 474, -w^3 - 2*w^2 + 5*w - 4]', '[4266, 4266, 2*w^3 - 3*w^2 - 8*w + 3]', '[4266, 4266, -w^3 - 6*w^2 + 13*w + 12]', '[4266, 4266, 3*w^3 + w^2 - 9*w - 9]', '[4266, 4266, 3*w^3 - 2*w^2 - 15*w]', '[4269, 4269, -2*w^3 + w^2 + 13*w - 9]', '[4272, 534, -4*w^3 + 2*w^2 + 14*w - 6]', '[4272, 534, -2*w^3 + 2*w^2 + 4*w + 6]', '[4272, 4272, w^3 + 2*w - 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37]', '[5111, 5111, w^3 - 7*w^2 - 5*w + 20]', '[5111, 5111, w^2 + 6*w - 14]', '[5114, 5114, w^3 + 4*w^2 - 6*w + 1]', '[5116, 5116, -9*w^3 - 7*w^2 + 38*w + 20]', '[5118, 5118, -4*w^3 + 10*w^2 + 21*w - 39]', '[5119, 5119, 2*w^2 + 5*w - 14]', '[5121, 5121, -w^2 - 2*w - 6]', '[5127, 5127, -4*w^3 + w^2 + 19*w - 9]', '[5128, 1282, -11*w^3 - 6*w^2 + 47*w + 29]', '[5128, 1282, -w^3 - 4*w^2 + 7*w + 19]', '[5128, 5128, w^3 + 2*w^2 - 7*w - 16]', '[5128, 5128, -2*w^3 + 8*w^2 + 9*w - 29]', '[5129, 5129, -3*w^3 + 5*w^2 + 7*w - 4]', '[5132, 5132, -5*w^3 - 4*w^2 + 26*w + 17]', '[5132, 5132, 3*w^3 + w^2 - 6*w + 4]', '[5136, 642, 8*w^3 + 4*w^2 - 26*w - 12]', '[5136, 5136, 3*w^3 + 7*w^2 - 6*w - 6]', '[5139, 5139, 12*w^3 + 6*w^2 - 47*w - 24]', '[5139, 5139, 2*w^3 - 4*w^2 - 7*w + 6]', '[5141, 5141, 5*w^3 - w^2 - 25*w - 2]', '[5141, 5141, 3*w^3 + w^2 - 9*w - 10]', '[5144, 1286, -3*w^3 - 4*w^2 + 11*w + 17]', '[5144, 5144, -3*w^3 + 3*w^2 + 11*w - 19]', '[5146, 5146, w^2 + 6*w - 1]', '[5146, 5146, -w^3 - 6*w^2 + 2*w + 17]', '[5147, 5147, -2*w^3 - w^2 + 14*w + 4]', '[5147, 5147, 4*w^3 + 5*w^2 - 12*w - 14]', '[5149, 5149, -2*w^3 + 8*w^2 - 13]', '[5149, 5149, -w^3 - 3*w^2 - 2*w + 13]', '[5153, 5153, -6*w^3 - 5*w^2 + 25*w + 17]', '[5153, 5153, -2*w^2 + w - 4]', '[5154, 5154, 2*w^3 + 7*w^2 - 15]', '[5154, 5154, -7*w^3 + 2*w^2 + 29*w - 6]', '[5158, 5158, 2*w^3 + w^2 - 8*w + 7]', '[5163, 5163, -4*w^3 + w^2 + 13*w - 3]', '[5169, 5169, 5*w^3 + w^2 - 12*w - 3]', '[5171, 5171, 4*w^3 + 3*w^2 - 13*w - 11]', '[5171, 5171, 4*w^3 - 2*w^2 - 20*w + 5]', '[5172, 5172, -8*w^3 - 7*w^2 + 39*w + 30]', '[5172, 5172, -2*w^3 + 5*w^2 + 5*w - 18]', '[5177, 5177, -6*w^3 + w^2 + 28*w + 4]', '[5178, 5178, 4*w^3 - 5*w^2 - 9*w + 6]', '[5178, 5178, 2*w^3 + 3*w^2 - 5*w - 12]', '[5184, 12, -3*w^3 + 6*w^2 + 9*w - 21]', '[5184, 24, -6*w - 6]', '[5184, 192, -3*w^3 - 6*w^2 + 9*w + 12]', '[5184, 324, w^3 + 6*w^2 - 7*w - 21]', '[5184, 648, 2*w^3 + 4*w^2 - 6*w]', '[5184, 5184, -w^3 - w^2 + 9*w + 9]', '[5186, 5186, -4*w^3 + 3*w^2 + 13*w - 8]', '[5188, 5188, 6*w^3 + w^2 - 21*w - 8]', '[5188, 5188, -6*w^3 - 5*w^2 + 25*w + 16]', '[5189, 5189, 4*w^3 - w^2 - 13*w + 1]', '[5193, 5193, 3*w^2 + 8*w + 6]', '[5193, 5193, -4*w^3 + 4*w^2 + 12*w - 9]', '[5193, 5193, -4*w^3 + 5*w^2 + 9*w - 9]', '[5193, 5193, 3*w^3 + 5*w^2 - 15*w - 18]', '[5196, 5196, -13*w^3 - 2*w^2 + 56*w + 21]', '[5197, 5197, -4*w^3 + 3*w^2 + 13*w - 7]', '[5197, 5197, -4*w^3 - 4*w^2 + 21*w + 8]', '[5198, 5198, w^3 + 4*w^2 - 10*w - 11]', '[5198, 5198, 6*w^3 - 11*w^2 - 20*w + 31]', '[5199, 5199, -w^2 + 6*w + 6]', '[5199, 5199, -2*w^3 - 2*w^2 + 3]', '[5204, 5204, -5*w^3 - 6*w^2 + 17*w + 14]', '[5211, 579, 4*w^3 - w^2 - 20*w + 10]', '[5211, 579, -2*w^3 + 2*w^2 + 13*w - 20]', '[5211, 5211, 6*w^3 - 7*w^2 - 12*w]', '[5211, 5211, 2*w^3 + w^2 - 10*w - 12]', '[5212, 5212, 2*w^3 - 3*w^2 - 8*w + 1]', '[5221, 5221, -4*w^3 + 2*w^2 + 12*w - 13]', '[5221, 5221, 4*w^3 + 2*w^2 - 22*w - 7]', '[5223, 5223, 4*w^3 + 6*w^2 - 15*w - 6]', '[5223, 5223, 8*w^3 + 3*w^2 - 36*w - 12]', '[5224, 1306, w^3 - 4*w^2 + w + 11]', '[5224, 5224, -5*w^3 - 3*w^2 + 12*w - 2]', '[5237, 5237, -3*w^3 + 5*w^2 + 18*w - 29]', '[5238, 582, -10*w^3 - 8*w^2 + 29*w + 5]', '[5238, 582, -5*w^3 - w^2 + 13*w - 5]', '[5238, 5238, 2*w^3 + 5*w^2 - 7*w - 12]', '[5238, 5238, w^3 + 5*w^2 + 4*w - 6]', '[5239, 403, 5*w^2 + 3*w + 1]', '[5239, 403, -3*w^3 + w^2 + 11*w + 8]', '[5241, 5241, 2*w^3 + 4*w^2 - 5*w]', '[5242, 5242, -w^3 + 2*w^2 - 5*w + 2]', '[5244, 5244, 2*w^3 - w^2 - 7*w + 12]', '[5244, 5244, -w^3 - 5*w^2 + 8*w + 12]', '[5251, 5251, 16*w^3 + 6*w^2 - 69*w - 28]', '[5251, 5251, 8*w^3 + 2*w^2 - 32*w - 7]', '[5251, 5251, 2*w^3 - 4*w^2 - 4*w + 13]', '[5251, 5251, 4*w^3 + 3*w^2 - 12*w - 10]', '[5256, 1314, -5*w^3 - 6*w^2 + 21*w + 27]', '[5256, 5256, -10*w^3 - 4*w^2 + 45*w + 27]', '[5261, 5261, -7*w^3 + 7*w^2 + 28*w - 25]', '[5262, 5262, -w^3 + 6*w^2 + 2*w - 15]', '[5262, 5262, w^3 + 5*w^2 - 6]', '[5263, 5263, -3*w^3 + 9*w^2 + 6*w - 19]', '[5263, 5263, -6*w^2 - 7*w + 22]', '[5263, 5263, -3*w^3 + 8*w^2 + 2*w - 14]', '[5263, 5263, 2*w^3 - 10*w + 11]', '[5266, 5266, 2*w^3 - 6*w^2 - w + 13]', '[5267, 5267, -9*w^3 + 3*w^2 + 38*w - 7]', '[5273, 5273, -2*w^3 - 7*w^2 + 7*w + 11]', '[5274, 5274, 4*w^3 + 2*w^2 - 19*w - 3]', '[5277, 5277, 4*w^3 - 9*w - 6]', '[5279, 5279, 5*w^3 - w^2 - 24*w - 5]', '[5279, 5279, 4*w^3 + 2*w^2 - 13*w - 10]', '[5281, 5281, -5*w^3 + 2*w^2 + 18*w - 10]', '[5282, 5282, -w^3 - 5*w^2 + 7*w + 25]', '[5282, 5282, 4*w^3 + w^2 - 10*w + 7]', '[5283, 5283, -10*w^3 - 6*w^2 + 42*w + 27]', '[5286, 5286, w^3 - 4*w^2 - 5*w + 6]', '[5293, 5293, -3*w^3 + 16*w - 8]', '[5293, 5293, -5*w^3 + w^2 + 22*w - 7]', '[5293, 5293, 4*w^3 - 4*w^2 - 16*w + 23]', '[5293, 5293, -w^3 + 5*w^2 - w - 14]', '[5294, 5294, 4*w^3 - 3*w^2 - 11*w + 2]', '[5294, 5294, 3*w^3 - w^2 - 3*w - 5]', '[5296, 662, 8*w^2 + 2*w - 28]', '[5296, 662, -6*w^2 + 6*w + 10]', '[5296, 5296, 9*w^3 - 9*w^2 - 34*w + 44]', '[5296, 5296, -3*w^3 + 5*w^2 + 5*w - 11]', '[5298, 5298, -2*w^3 + 8*w^2 + 7*w - 21]', '[5301, 5301, -4*w^3 - 2*w^2 + 12*w + 9]', '[5301, 5301, -2*w^3 + 3*w^2 + 3*w - 9]', '[5303, 5303, 5*w^3 - 3*w^2 - 18*w + 5]', '[5303, 5303, 6*w^2 + 3*w - 22]', '[5308, 5308, 5*w^3 - w^2 - 22*w - 8]', '[5308, 5308, w^3 + 2*w^2 + 3*w - 2]', '[5311, 5311, -3*w^3 + 3*w^2 + 11*w - 2]', '[5311, 5311, 3*w^3 + 5*w^2 - 13*w - 10]', '[5312, 332, w^3 - 6*w^2 - 3*w + 19]', '[5312, 332, -w^3 - 2*w^2 + 11*w + 1]', '[5312, 664, 2*w^3 + 2*w^2 - 12*w + 4]', '[5312, 664, -6*w^3 - 6*w^2 + 22*w + 14]', '[5312, 5312, -4*w^3 - 3*w^2 + 8*w - 1]', '[5312, 5312, 5*w^3 - 2*w^2 - 19*w + 4]', '[5319, 591, -4*w^3 - 2*w^2 + 17*w + 2]', '[5319, 5319, -6*w^3 + 2*w^2 + 17*w + 6]', '[5322, 5322, -5*w^3 - w^2 + 19*w - 3]', '[5326, 5326, 2*w^3 - 13*w - 1]', '[5326, 5326, -4*w^3 + w^2 + 13*w - 2]', '[5329, 5329, 3*w^3 + 3*w^2 - 11*w - 16]', '[5331, 5331, -w^3 - 4*w]', '[5331, 5331, 2*w^2 - 9*w - 6]', '[5333, 5333, 2*w^3 - w^2 - 9*w - 7]', '[5333, 5333, -2*w^3 + 7*w^2 + 6*w - 28]', '[5333, 5333, 2*w^3 + w^2 - 2*w - 8]', '[5333, 5333, 2*w^3 + 5*w^2 - 7*w - 13]', '[5339, 5339, 7*w^3 + 6*w^2 - 22*w - 14]', '[5339, 5339, -5*w^3 - 5*w^2 + 23*w + 14]', '[5342, 5342, -w^3 + 2*w^2 - 6*w + 5]', '[5344, 668, 6*w^3 - 4*w^2 - 24*w + 14]', '[5344, 5344, 5*w^3 - 2*w^2 - 20*w - 1]', '[5351, 5351, -6*w^3 + 22*w + 7]', '[5352, 1338, 3*w^3 - 17*w - 3]', '[5352, 5352, -4*w^3 - w^2 + 16*w - 3]', '[5358, 5358, 4*w^3 - 2*w^2 - 13*w + 3]', '[5358, 5358, 5*w^3 - 11*w]', '[5361, 5361, -w^2 - 6]', '[5361, 5361, -4*w^3 - 5*w^2 + 26*w + 12]', '[5363, 5363, -8*w^3 + 2*w^2 + 32*w + 1]', '[5363, 5363, -3*w^2 + 6*w + 8]', '[5366, 5366, 4*w^3 - 7*w^2 - 7*w + 14]', '[5367, 5367, 6*w^3 + 7*w^2 - 31*w - 27]', '[5373, 597, 5*w^3 + w^2 - 22*w - 1]', '[5373, 597, -w^3 - 5*w^2 + 5*w + 26]', '[5373, 5373, -7*w^3 + 8*w^2 + 32*w - 30]', '[5373, 5373, -5*w^3 - 5*w^2 + 27*w + 18]', '[5374, 5374, 2*w^3 + 2*w^2 - 5*w - 11]', '[5374, 5374, 2*w^3 - 5*w^2 - 7*w + 10]', '[5377, 5377, 3*w^3 - 3*w^2 - 12*w + 19]', '[5377, 5377, -2*w^3 + 6*w^2 + 4*w - 19]', '[5381, 5381, 6*w^3 - 2*w^2 - 24*w + 13]', '[5381, 5381, 6*w^3 - 23*w + 2]', '[5384, 1346, -7*w^3 - 4*w^2 + 31*w + 25]', '[5384, 1346, 3*w^3 - 2*w^2 - 15*w - 1]', '[5384, 5384, -5*w^3 + 17*w - 4]', '[5384, 5384, w^3 + 5*w^2 - 3*w - 23]', '[5386, 5386, w^3 + 2*w^2 - 9*w + 8]', '[5387, 5387, -2*w^3 - 7*w^2 + 8*w + 10]', '[5387, 5387, -3*w^3 + 4*w^2 + 8*w - 14]', '[5391, 5391, 4*w^3 - 2*w^2 - 23*w - 6]', '[5391, 5391, w^3 - 8*w + 12]', '[5392, 674, 8*w^3 - 32*w + 2]', '[5392, 5392, -4*w^3 + 9*w^2 + 21*w - 28]', '[5393, 5393, -2*w^3 - w^2 - 2]', '[5398, 5398, w^3 + 6*w^2 - 9*w - 20]', '[5408, 52, 2*w^3 - 2*w^2 - 8]', '[5408, 52, 4*w^3 - 2*w^2 - 6*w - 4]', '[5408, 416, 4*w^3 + 5*w^2 - 20*w - 13]', '[5408, 416, 3*w^3 + 6*w^2 - 17*w - 20]', '[5409, 5409, 5*w^3 + 5*w^2 - 21*w - 18]', '[5413, 5413, -w^3 + w^2 + 9*w - 2]', '[5413, 5413, 2*w^3 + 3*w^2 - 6*w - 14]', '[5414, 5414, -2*w^3 + 3*w^2 + 4*w - 11]', '[5416, 1354, -5*w^3 + 6*w^2 + 21*w - 19]', '[5416, 5416, -3*w^3 + 2*w^2 + 17*w + 4]', '[5417, 5417, -w^3 + w^2 - 2*w - 5]', '[5417, 5417, -3*w^3 + 3*w^2 + 16*w - 13]', '[5424, 678, -4*w^3 + 4*w^2 + 8*w - 6]', '[5424, 678, -6*w^3 - 2*w^2 + 28*w + 18]', '[5424, 5424, 3*w^3 + 4*w^2 - 10*w - 15]', '[5424, 5424, 2*w^3 - 9*w^2 - 5*w + 18]', '[5426, 5426, 5*w^3 - w^2 - 19*w + 1]', '[5427, 201, 6*w^2 - 21]', '[5427, 5427, 4*w^3 - 12*w - 9]', '[5428, 5428, -3*w^3 - 3*w^2 + 3*w + 7]', '[5428, 5428, -5*w^3 - 3*w^2 + 10*w + 8]', '[5429, 5429, 6*w^3 + 3*w^2 - 30*w - 20]', '[5429, 5429, 4*w^3 - 3*w^2 - 12*w + 4]', '[5431, 5431, w^3 - 6*w^2 - 6*w + 26]', '[5433, 5433, -w^3 - 5*w^2 + 4*w + 15]', '[5441, 5441, -w^3 + 6*w - 10]', '[5441, 5441, -5*w^3 + 18*w - 2]', '[5442, 5442, 3*w^3 + 7*w^2 - 8*w - 18]', '[5442, 5442, -2*w^3 + 7*w^2 + 5*w - 18]', '[5442, 5442, 7*w^3 + 5*w^2 - 25*w - 9]', '[5442, 5442, -3*w^3 + 5*w^2 + 16*w - 18]', '[5444, 5444, w^3 + 6*w^2 - 3*w - 20]', '[5444, 5444, -8*w^3 - 3*w^2 + 30*w + 13]', '[5448, 1362, 3*w^3 - 4*w^2 - 5*w + 9]', '[5448, 1362, -w^3 - 8*w^2 + 19*w + 9]', '[5448, 5448, -w^3 - w^2 - 4*w]', '[5448, 5448, -w^2 - w + 12]', '[5451, 5451, -6*w^3 - 5*w^2 + 28*w + 18]', '[5451, 5451, -2*w^3 + 3*w^2 + 9*w - 3]', '[5451, 5451, -2*w^3 + 7*w^2 + 7*w - 21]', '[5451, 5451, 2*w^3 - 2*w^2 - 13*w + 12]', '[5458, 5458, 6*w^3 + 3*w^2 - 20*w + 1]', '[5459, 5459, 4*w^3 - 2*w^2 - 12*w + 1]', '[5462, 5462, w^3 + 2*w - 11]', '[5462, 5462, -3*w^3 - 5*w^2 + 5*w + 13]', '[5466, 5466, -3*w^3 - 2*w^2 + 8*w + 9]', '[5466, 5466, w - 9]', '[5468, 5468, -5*w^3 - 3*w^2 + 26*w + 16]', '[5468, 5468, -3*w^3 + 15*w - 8]', '[5471, 5471, -2*w^3 - w^2 + 14*w - 2]', '[5472, 684, 6*w^3 + 4*w^2 - 24*w - 18]', '[5472, 684, -2*w^2 + 4*w - 6]', '[5472, 5472, w^3 - w^2 - 2*w + 12]', '[5472, 5472, w^3 + 4*w^2 - 8*w - 15]', '[5476, 148, -w^3 - 5*w^2 - 2*w + 2]', '[5476, 148, -3*w^3 + 2*w^2 + 14*w + 1]', '[5477, 5477, -5*w^3 - w^2 + 16*w - 1]', '[5477, 5477, 9*w^3 + 6*w^2 - 40*w - 34]', '[5482, 5482, -2*w^3 + w^2 + 8*w + 7]', '[5482, 5482, 5*w^3 + w^2 - 12*w - 2]', '[5484, 5484, -5*w^3 + 3*w^2 + 19*w - 9]', '[5487, 5487, w^3 - 5*w^2 + 4*w + 9]', '[5487, 5487, 4*w^3 - 4*w^2 - 11*w + 6]', '[5493, 5493, -5*w^3 - 5*w^2 + 24*w + 15]', '[5493, 5493, 4*w^3 - 2*w^2 - 11*w]', '[5496, 1374, 7*w^3 - 4*w^2 - 25*w + 3]', '[5496, 5496, -5*w^3 + w^2 + 19*w - 3]', '[5497, 5497, 3*w^3 - 3*w^2 - 14*w + 5]', '[5498, 5498, 3*w^3 + 2*w^2 - 13*w + 2]', '[5501, 5501, 5*w^3 - 11*w^2 - 19*w + 40]', '[5501, 5501, 6*w^3 + w^2 - 28*w - 2]', '[5503, 5503, 7*w^3 + 3*w^2 - 36*w - 19]', '[5503, 5503, 9*w^3 + 3*w^2 - 40*w - 13]', '[5506, 5506, 2*w^2 - 5*w + 7]', '[5507, 5507, -w^3 - 2*w^2 + 4*w - 4]', '[5507, 5507, -2*w^3 + 14*w - 7]', '[5517, 5517, 6*w^3 + 5*w^2 - 20*w - 6]', '[5518, 5518, -3*w^3 - 3*w^2 + 11*w + 17]', '[5518, 5518, 5*w^3 - 7*w^2 - 20*w + 22]', '[5521, 5521, 5*w^2 - 26]', '[5521, 5521, -w^3 + 4*w^2 + 4*w - 4]', '[5524, 5524, -5*w^2 - 5*w + 8]', '[5524, 5524, -4*w^3 - 4*w^2 + 13*w + 13]', '[5528, 1382, 13*w^3 + 4*w^2 - 55*w - 19]', '[5528, 1382, 9*w^3 - 2*w^2 - 41*w + 5]', '[5528, 5528, -4*w^3 + 4*w^2 + 21*w - 7]', '[5528, 5528, -9*w^3 + 8*w^2 + 39*w - 34]', '[5529, 5529, -7*w^3 - 7*w^2 + 21*w + 6]', '[5529, 5529, -4*w^3 + w^2 + 7*w - 3]', '[5529, 5529, 3*w^3 - 3*w^2 - 16*w + 9]', '[5529, 5529, w^3 - 6*w^2 - 2*w + 18]', '[5531, 5531, 4*w^3 + 3*w^2 - 22*w - 14]', '[5532, 5532, -7*w^3 + 3*w^2 + 27*w - 3]', '[5532, 5532, w^3 - 6*w^2 - 10*w + 21]', '[5536, 692, 6*w^3 - 2*w^2 - 24*w + 4]', '[5536, 692, -2*w^3 + 2*w - 4]', '[5536, 5536, -2*w^3 - 7*w^2 + 5*w + 14]', '[5536, 5536, -5*w^3 + 7*w^2 + 21*w - 23]', '[5546, 5546, -w^3 + 2*w^2 - 8*w + 11]', '[5546, 5546, -w^3 - 7*w^2 - 2*w + 14]', '[5548, 5548, 2*w^3 - 3*w + 7]', '[5548, 5548, -4*w^3 - 5*w^2 + 20*w + 25]', '[5552, 694, -8*w^3 - 2*w^2 + 32*w + 4]', '[5552, 5552, 2*w^3 - 7*w^2 - 14*w + 19]', '[5553, 5553, 3*w^3 - 2*w^2 - 16*w + 6]', '[5554, 5554, -w^3 - 5*w + 8]', '[5554, 5554, -w^3 + 6*w^2 + w - 16]', '[5557, 5557, 5*w^3 - w^2 - 21*w + 8]', '[5561, 5561, -9*w^3 + w^2 + 41*w + 4]', '[5561, 5561, -w^3 + 3*w^2 + w - 16]', '[5562, 618, w^3 - 4*w^2 + 4*w + 7]', '[5562, 5562, -w^3 + 6*w^2 + 3*w - 18]', '[5567, 5567, 5*w^3 - 3*w^2 - 19*w + 10]', '[5567, 5567, 5*w^3 - 14*w + 4]', '[5571, 5571, w^3 - 2*w^2 + 2*w + 6]', '[5574, 5574, -w^2 - w - 6]', '[5578, 5578, -w^3 - 5*w^2 + 6*w + 16]', '[5581, 5581, 3*w^3 + 3*w^2 - 10*w - 13]', '[5582, 5582, 6*w^3 + 4*w^2 - 21*w - 5]', '[5589, 207, 6*w^3 + 3*w^2 - 27*w - 9]', '[5589, 5589, -4*w^3 + w^2 + 12*w]', '[5594, 5594, 4*w^3 - w^2 - 10*w + 1]', '[5594, 5594, -7*w^3 - w^2 + 28*w + 4]', '[5596, 5596, -3*w^3 + w^2 + 12*w + 8]', '[5596, 5596, w^3 - 4*w^2 - 3*w + 22]', '[5601, 5601, -8*w^3 + 32*w + 9]', '[5602, 5602, 3*w^3 - 2*w^2 - 8*w + 11]', '[5606, 5606, 4*w^2 - 3*w - 17]', '[5608, 1402, 5*w^3 + 4*w^2 - 17*w - 13]', '[5608, 5608, 3*w^3 + 2*w^2 - 8*w + 5]', '[5612, 5612, 4*w^3 + 7*w^2 - 5*w - 16]', '[5618, 5618, 3*w^3 - 15*w + 10]', '[5623, 5623, 9*w^3 + 5*w^2 - 42*w - 31]', '[5625, 45, 5*w^3 + 5*w^2 - 20*w - 15]', '[5631, 5631, 3*w^3 - w^2 - 4*w + 3]', '[5631, 5631, -4*w^3 + 2*w^2 + 17*w]', '[5634, 5634, -5*w^3 - 5*w^2 + 24*w + 18]', '[5636, 5636, 3*w^3 - 2*w^2 - 6*w + 7]', '[5637, 5637, -6*w^3 - 2*w^2 + 27*w + 6]', '[5637, 5637, 3*w^3 + 2*w^2 - 14*w]', '[5639, 5639, -5*w^3 + w^2 + 19*w - 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9*w - 13]', '[5704, 5704, -w^3 - 3*w - 4]', '[5717, 5717, 6*w^3 + w^2 - 26*w - 2]', '[5718, 5718, -3*w^3 + 10*w^2 + 18*w - 33]', '[5718, 5718, 2*w^3 - 5*w^2 - 9*w + 12]', '[5721, 5721, -w^3 + 2*w^2 + 6]', '[5721, 5721, 2*w^3 - 4*w^2 - 6*w + 3]', '[5723, 5723, -6*w^3 + 6*w^2 + 23*w - 20]', '[5723, 5723, -6*w^3 + 11*w^2 + 23*w - 43]', '[5723, 5723, w^3 + 3*w^2 - w - 14]', '[5723, 5723, 14*w^3 + 2*w^2 - 61*w - 16]', '[5724, 636, 4*w^3 - 10*w^2 - 17*w + 37]', '[5724, 5724, -2*w^3 + 3*w + 9]', '[5727, 5727, 3*w^3 + 5*w^2 - 11*w - 12]', '[5727, 5727, -5*w^3 - w^2 + 26*w + 9]', '[5732, 5732, 3*w^3 + w^2 - 14*w + 4]', '[5732, 5732, -4*w^3 + 5*w^2 + 7*w - 10]', '[5734, 5734, -3*w^3 + 6*w^2 + 8*w - 19]', '[5736, 1434, -3*w^3 + 4*w^2 + 9*w - 3]', '[5736, 5736, -7*w^3 - 2*w^2 + 34*w + 9]', '[5737, 5737, -w^3 + 7*w^2 + w - 14]', '[5739, 5739, -4*w^3 + 4*w^2 + 16*w - 9]', '[5739, 5739, -9*w^3 - w^2 + 38*w + 9]', '[5741, 5741, -4*w^3 + 3*w^2 + 12*w - 8]', '[5741, 5741, 6*w^3 - w^2 - 26*w - 4]', '[5743, 5743, 2*w^3 + 5*w^2 - 12*w - 14]', '[5744, 718, 4*w^2 - 4*w - 14]', '[5744, 718, -4*w^3 + 2*w^2 + 20*w - 8]', '[5744, 5744, 6*w^3 - 5*w^2 - 26*w + 25]', '[5744, 5744, 2*w^3 - 7*w^2 - 7*w + 22]', '[5748, 5748, 7*w^2 + w - 30]', '[5766, 5766, 2*w^3 - 6*w^2 - 11*w + 27]', '[5767, 5767, -2*w^3 + 4*w^2 + 8*w - 7]', '[5767, 5767, w^3 + 3*w^2 - 13]', '[5767, 5767, -2*w^3 - 5*w^2 + 5*w + 17]', '[5767, 5767, 9*w^3 + w^2 - 37*w - 4]', '[5769, 5769, -5*w^3 - w^2 + 21*w]', '[5769, 5769, -7*w^3 + 34*w + 12]', '[5773, 5773, 4*w^3 - 8*w^2 - 19*w + 26]', '[5774, 5774, 2*w^3 - 5*w^2 - 12*w + 25]', '[5776, 38, 6*w^3 - 12*w^2 - 24*w + 44]', '[5776, 38, -4*w^3 + 6*w^2 + 12*w - 20]', '[5776, 304, -2*w^3 + 5*w^2 + 9*w - 26]', '[5776, 304, -3*w^3 - 5*w^2 + 11*w + 13]', '[5776, 722, -2*w^2 - 4]', '[5776, 722, -2*w^3 - 2*w^2 + 4*w + 10]', '[5776, 5776, 4*w^3 + 3*w^2 - 21*w - 16]', '[5776, 5776, -4*w^3 - 5*w^2 + 18*w + 19]', '[5778, 642, -7*w^3 - 8*w^2 + 14*w + 5]', '[5778, 5778, 10*w^3 + 8*w^2 - 37*w - 21]', '[5779, 5779, 10*w^3 + 4*w^2 - 44*w - 17]', '[5779, 5779, -w^3 + w^2 + 7*w - 14]', '[5779, 5779, 6*w^3 + w^2 - 30*w - 10]', '[5779, 5779, -w^3 + 3*w^2 - 11]', '[5783, 5783, 5*w^3 - 9*w^2 - 20*w + 29]', '[5783, 5783, -5*w^3 - w^2 + 12*w + 7]', '[5787, 5787, -2*w^3 + 3*w^2 + 11*w - 3]', '[5791, 5791, 2*w^3 + 5*w^2 - 8*w - 16]', '[5791, 5791, -w^3 + w^2 + 6*w - 13]', '[5793, 5793, -2*w^2 - 7*w]', '[5794, 5794, -4*w^3 + 3*w^2 + 8*w - 1]', '[5802, 5802, 3*w^3 - 2*w^2 - 14*w - 3]', '[5802, 5802, -5*w^3 + w^2 + 18*w - 6]', '[5806, 5806, 6*w^2 - 3*w - 19]', '[5812, 5812, -8*w^3 - 7*w^2 + 30*w + 17]', '[5812, 5812, 2*w^3 + 3*w^2 - 5*w + 2]', '[5812, 5812, -5*w^3 - 5*w^2 + 17*w + 5]', '[5812, 5812, -3*w^3 - 3*w^2 + 13*w + 1]', '[5818, 5818, -4*w^3 + 17*w + 11]', '[5818, 5818, 4*w^3 - 5*w^2 - 7*w + 4]', '[5826, 5826, -w^3 + 2*w - 9]', '[5827, 5827, -w^3 + 6*w^2 + 2*w - 16]', '[5828, 5828, -4*w^3 + 5*w^2 + 8*w - 5]', '[5832, 18, -5*w^3 + 2*w^2 + 19*w - 5]', '[5832, 54, 3*w^3 - 15*w + 9]', '[5832, 72, 4*w^3 - 7*w^2 - 17*w + 22]', '[5832, 216, 6*w^3 - 3*w^2 - 24*w + 9]', '[5832, 1458, 3*w^3 - 17*w + 3]', '[5832, 5832, -4*w^3 + 2*w^2 + 19*w - 15]', '[5836, 5836, -7*w^3 - 4*w^2 + 32*w + 13]', '[5836, 5836, w^3 - w^2 - 9*w + 5]', '[5839, 5839, 6*w^3 - 2*w^2 - 24*w + 7]', '[5842, 5842, 4*w^3 - 2*w^2 - 19*w + 17]', '[5843, 5843, w^3 + 5*w^2 - 5*w - 16]', '[5843, 5843, 7*w^3 + w^2 - 27*w + 2]', '[5844, 5844, -w^3 + 3*w^2 + 3*w + 3]', '[5849, 5849, -w^3 + 3*w^2 + 10*w - 19]', '[5849, 5849, -14*w^3 - 7*w^2 + 60*w + 34]', '[5851, 5851, -2*w^3 + 6*w^2 + 6*w - 25]', '[5853, 5853, -w^3 - 2*w^2 + 12]', '[5853, 5853, 2*w^3 - 13*w]', '[5854, 5854, w^3 - 4*w^2 - 9*w + 14]', '[5856, 732, 6*w^3 - 4*w^2 - 20*w + 18]', '[5856, 5856, w^3 - 6*w^2 - 2*w + 9]', '[5857, 5857, 5*w^3 - 4*w^2 - 18*w + 10]', '[5862, 5862, 4*w^3 - w^2 - 11*w]', '[5862, 5862, -w^3 + w^2 + 9*w - 3]', '[5862, 5862, 6*w^3 + 2*w^2 - 21*w - 3]', '[5862, 5862, w^3 - 4*w^2 - 4*w + 3]', '[5864, 1466, 5*w^3 - 2*w^2 - 23*w + 1]', '[5864, 1466, -w^3 + 8*w^2 + 3*w - 31]', '[5864, 5864, -6*w^3 + 3*w^2 + 23*w - 14]', '[5864, 5864, 9*w^3 + 6*w^2 - 38*w - 23]', '[5867, 5867, 4*w^3 - 5*w^2 - 21*w + 31]', '[5867, 5867, 3*w^3 + 4*w^2 - 18*w - 14]', '[5869, 5869, -2*w^2 - w - 4]', '[5871, 5871, 2*w^3 - 3*w^2 - 5*w + 15]', '[5871, 5871, -3*w^3 - w^2 + 9*w + 12]', '[5877, 5877, -2*w^3 - 3*w^2 + 12*w]', '[5881, 5881, 14*w^3 + 8*w^2 - 60*w - 35]', '[5884, 5884, -4*w^3 - 3*w^2 + 18*w + 5]', '[5884, 5884, 4*w^3 - 5*w^2 - 9*w + 8]', '[5884, 5884, -9*w^2 + 11*w + 4]', '[5884, 5884, 3*w^3 - w^2 - 17*w - 1]', '[5888, 92, 4*w^3 + 4*w^2 - 16*w - 20]', '[5888, 736, -6*w^2 + 4*w + 10]', '[5888, 5888, -3*w^3 - 2*w^2 + 10*w + 13]', '[5892, 5892, 6*w^3 - w^2 - 21*w - 6]', '[5897, 5897, 5*w^3 - 11*w^2 - 20*w + 41]', '[5898, 5898, w^3 + 8*w^2 - w - 18]', '[5903, 5903, -3*w^3 + 2*w^2 + 14*w + 2]', '[5906, 5906, 11*w^3 + w^2 - 50*w - 14]', '[5906, 5906, 5*w^3 - 3*w^2 - 17*w + 13]', '[5912, 1478, -17*w^3 - 6*w^2 + 77*w + 31]', '[5912, 1478, -w^3 - 4*w^2 + 9*w + 13]', '[5912, 5912, 7*w^3 - 33*w - 2]', '[5912, 5912, -w^3 + 6*w^2 + 2*w - 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2*w^2 + 23*w - 9]', '[9816, 2454, w^3 + 6*w^2 - 9*w - 21]', '[9816, 9816, 2*w^3 - w^2 - 3*w + 12]', '[9816, 9816, 2*w^3 - 3*w^2 - 13*w + 12]', '[9818, 9818, 3*w^3 - 3*w^2 - 6*w + 10]', '[9822, 9822, 7*w^3 - 2*w^2 - 28*w + 3]', '[9822, 9822, w^3 + w^2 - 12*w + 6]', '[9829, 9829, -4*w^3 + w^2 + 21*w - 1]', '[9829, 9829, -5*w^3 - 3*w^2 + 19*w + 2]', '[9832, 2458, w^3 + 6*w^2 - w - 7]', '[9832, 9832, -3*w^3 + w^2 + 18*w + 2]', '[9833, 9833, -6*w^3 - 6*w^2 + 24*w + 25]', '[9836, 9836, -w^3 - 2*w^2 + 2*w - 5]', '[9836, 9836, -6*w^3 - 3*w^2 + 18*w + 11]', '[9837, 9837, 12*w^3 + 5*w^2 - 53*w - 33]', '[9838, 9838, -w^3 + 6*w^2 - 5*w + 2]', '[9838, 9838, -w^3 - 6*w^2 + 8*w + 11]', '[9839, 9839, -3*w^3 + 5*w^2 + 12*w - 11]', '[9844, 9844, -9*w^3 - 11*w^2 + 27*w + 17]', '[9848, 2462, -3*w^3 - 2*w^2 + 9*w + 13]', '[9848, 9848, -2*w^3 + w^2 + 9*w - 14]', '[9851, 9851, 6*w^3 + w^2 - 27*w - 1]', '[9851, 9851, -w^3 - w^2 + 5*w - 8]', '[9852, 9852, 10*w^3 - w^2 - 42*w - 3]', '[9853, 9853, -w^3 - 2*w^2 + 12*w + 2]', '[9853, 9853, 4*w^3 + 4*w^2 - 21*w - 20]', '[9857, 9857, -w^3 + w^2 + 4*w - 13]', '[9858, 9858, 4*w^3 - 11*w^2 - 17*w + 36]', '[9861, 9861, 8*w^2 - 4*w - 27]', '[9861, 9861, -8*w^3 - 3*w^2 + 34*w + 24]', '[9861, 9861, 2*w^3 - 5*w^2 - 6*w + 6]', '[9861, 9861, -5*w^3 - 5*w^2 + 22*w + 9]', '[9866, 9866, -w^3 + 3*w^2 + 2*w - 20]', '[9866, 9866, w^3 + 6*w^2 - 4*w - 19]', '[9872, 1234, 6*w^3 - 6*w^2 - 22*w + 20]', '[9872, 9872, -8*w^3 + 14*w^2 + 33*w - 49]', '[9874, 9874, 2*w^3 + 2*w^2 - w - 11]', '[9882, 366, -3*w^3 - 3*w^2 + 18*w - 12]', '[9882, 9882, w^3 + 5*w - 12]', '[9883, 9883, 4*w^3 + 5*w^2 - 16*w - 26]', '[9883, 9883, -2*w^3 + 7*w^2 + 11*w - 31]', '[9886, 9886, -5*w^3 + 8*w^2 + 13*w - 22]', '[9886, 9886, 3*w^3 - w^2 - 14*w + 16]', '[9888, 1236, 2*w^3 + 6*w^2 - 2*w - 18]', '[9888, 9888, -w^3 - 3*w^2 + 3*w - 3]', '[9896, 2474, 13*w^3 + 8*w^2 - 55*w - 29]', '[9896, 2474, -5*w^3 + 4*w^2 + 13*w - 1]', '[9896, 9896, w^2 + 8*w + 7]', '[9896, 9896, 3*w^3 - 7*w^2 - 7*w + 11]', '[9897, 9897, 3*w^3 + 5*w^2 - 14*w - 3]', '[9897, 9897, w^2 - 8*w]', '[9897, 9897, 4*w^3 + 4*w^2 - 19*w - 6]', '[9897, 9897, w^3 - w^2 - 12*w - 3]', '[9901, 9901, -6*w^3 + w^2 + 29*w - 1]', '[9902, 9902, 7*w^3 + 6*w^2 - 30*w - 23]', '[9902, 9902, 5*w^3 - 4*w^2 - 17*w + 10]', '[9904, 1238, 4*w^3 - 8*w^2 - 14*w + 32]', '[9904, 9904, -w^3 - 6*w^2 + 8*w + 17]', '[9907, 9907, -2*w^3 + 3*w^2 + 3*w - 11]', '[9907, 9907, 2*w^3 - 14*w - 1]', '[9908, 9908, w^3 + 9*w^2 - 10*w - 10]', '[9913, 9913, -16*w^3 - 2*w^2 + 69*w + 20]', '[9913, 9913, 6*w^3 - 4*w^2 - 23*w + 14]', '[9914, 9914, 3*w^3 - 9*w^2 - 7*w + 23]', '[9914, 9914, -4*w^3 - 5*w^2 + 21*w + 28]', '[9914, 9914, w^3 - 9*w^2 + 16]', '[9914, 9914, -2*w^3 - 11*w^2 + w + 28]', '[9917, 9917, 6*w^2 - 2*w - 17]', '[9917, 9917, 12*w^3 + 3*w^2 - 49*w - 11]', '[9927, 9927, -5*w^3 - 7*w^2 + 16*w + 21]', '[9927, 9927, -w^3 - 3*w^2 + 2*w - 3]', '[9929, 9929, 8*w^3 + w^2 - 32*w - 4]', '[9936, 138, 4*w^3 - 4*w^2 - 14*w + 4]', '[9936, 1104, -5*w^3 + 5*w^2 + 16*w - 14]', '[9936, 1242, -2*w^2 + 10*w - 6]', '[9936, 9936, -5*w^3 + 4*w^2 + 19*w - 6]', '[9938, 9938, 3*w^3 + 4*w^2 - 10*w - 17]', '[9941, 9941, 2*w^3 + w^2 - 3*w - 11]', '[9942, 9942, 4*w^3 - 5*w^2 - 14*w + 9]', '[9942, 9942, 3*w^3 + 5*w^2 - 7*w - 15]', '[9949, 9949, 6*w^3 + 6*w^2 - 28*w - 13]', '[9951, 9951, -4*w^3 + 17*w + 12]', '[9956, 9956, -2*w^3 + 2*w^2 + 13*w - 7]', '[9956, 9956, 2*w^3 + 4*w^2 - 15*w - 1]', '[9956, 9956, -w^3 - 8*w^2 - 3*w + 16]', '[9956, 9956, -5*w^3 + 10*w^2 + 12*w - 19]', '[9957, 9957, 3*w^3 + w^2 - 6*w - 21]', '[9957, 9957, -8*w^3 - 6*w^2 + 43*w + 18]', '[9959, 9959, -16*w^3 - 9*w^2 + 73*w + 43]', '[9964, 9964, 10*w^3 + 5*w^2 - 37*w - 16]', '[9969, 9969, -w^3 - w^2 - 5*w]', '[9969, 9969, 3*w^3 + 8*w^2 - 22*w - 18]', '[9971, 767, -11*w^3 - 8*w^2 + 46*w + 32]', '[9971, 767, w^3 + 7*w^2 - 10*w - 19]', '[9971, 767, 11*w^3 + w^2 - 53*w - 20]', '[9971, 767, 7*w^3 - 11*w^2 - 28*w + 37]', '[9972, 9972, 3*w^3 + 5*w^2 - 20*w - 6]', '[9972, 9972, w^2 - 8*w + 3]', '[9973, 9973, 8*w^3 - 2*w^2 - 33*w + 4]', '[9978, 9978, 6*w^3 - 3*w^2 - 25*w + 18]', '[9981, 9981, -7*w^3 - 2*w^2 + 26*w + 6]', '[9986, 9986, 4*w^3 - 10*w^2 - 13*w + 31]', '[9987, 9987, 4*w^3 - 2*w^2 - 18*w - 3]', '[9991, 9991, -5*w^3 + 5*w^2 + 15*w - 14]', '[9991, 9991, -4*w^3 - 3*w^2 + 22*w + 16]', '[9993, 9993, 3*w^3 + w^2 - 19*w - 6]', '[9994, 9994, -w^3 + 7*w^2 + 3*w - 19]', '[9994, 9994, 2*w^3 - 4*w^2 + w - 7]', '[9994, 9994, -6*w^3 + 4*w^2 + 23*w - 13]', '[9994, 9994, 7*w^3 - 2*w^2 - 27*w + 16]', '[9994, 9994, -3*w^3 - 3*w^2 + 10*w + 16]', '[9994, 9994, 3*w^3 + 7*w^2 - 9*w - 19]', '[9994, 9994, -7*w^3 - 7*w^2 + 13*w + 11]', '[9994, 9994, w^3 - w^2 - 10*w + 2]', '[9998, 9998, -w^3 + 6*w^2 - 7*w + 4]', '[10000, 10, 10]', '[10000, 80, -5*w^2 - 5*w + 20]'], 'label': '4.4.7537.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w - 1]', '[3, 3, w]', '[8, 2, -w^3 + 5*w + 1]', '[19, 19, w^3 - w^2 - 3*w + 2]', '[19, 19, -w^3 + 4*w - 2]', '[23, 23, w^3 + w^2 - 4*w - 5]', '[27, 3, -w^3 + w^2 + 5*w - 4]', '[31, 31, w^3 + w^2 - 4*w - 1]', '[47, 47, -w^2 - w + 5]', '[53, 53, 2*w^3 - 2*w^2 - 9*w + 10]', '[59, 59, 2*w - 1]', '[59, 59, w^3 - 2*w - 2]', '[61, 61, -w^2 - 2*w + 4]', '[67, 67, 2*w^2 - 7]', '[73, 73, 5*w^3 + w^2 - 23*w - 8]', '[79, 79, -2*w^3 - w^2 + 9*w + 7]', '[79, 79, -w^3 + w^2 + 4*w - 1]', '[79, 79, w^3 - w^2 - w - 2]', '[79, 79, w^3 - 2*w^2 - 2*w + 2]', '[83, 83, w^3 + w^2 - 3*w - 4]', '[83, 83, 3*w^3 + w^2 - 13*w - 4]', '[89, 89, -w^3 + 6*w - 2]', '[89, 89, w^3 - 3*w^2 - 4*w + 11]', '[97, 97, w^2 + 2*w - 2]', '[97, 97, 2*w^2 - w - 4]', '[103, 103, -w^3 + 3*w^2 + 2*w - 7]', '[107, 107, 2*w^3 + 2*w^2 - 8*w - 5]', '[113, 113, -2*w^3 + 7*w + 2]', '[113, 113, w^3 - 3*w^2 - 3*w + 8]', '[127, 127, w^3 - 4*w + 4]', '[131, 131, -2*w^2 - w + 8]', '[131, 131, w - 4]', '[139, 139, w^2 - w - 7]', '[157, 157, w^3 + w^2 - 6*w - 5]', '[167, 167, w^3 - 4*w - 4]', '[169, 13, 2*w^3 + w^2 - 10*w - 2]', '[169, 13, 2*w^3 + 2*w^2 - 9*w - 4]', '[173, 173, 4*w^3 + 3*w^2 - 18*w - 14]', '[173, 173, w^3 - w^2 - 6*w - 1]', '[193, 193, w^3 - 2*w - 4]', '[193, 193, 3*w^3 - 3*w^2 - 12*w + 11]', '[197, 197, -2*w^3 - w^2 + 6*w + 4]', '[199, 199, 2*w^3 + 2*w^2 - 10*w - 11]', '[199, 199, -2*w^3 + 10*w + 1]', '[211, 211, w^2 - 2*w - 4]', '[211, 211, -4*w^3 + 17*w + 2]', '[223, 223, w^3 - w^2 - 6*w + 5]', '[227, 227, -w - 4]', '[227, 227, -w^3 - 2*w^2 + 6*w + 2]', '[229, 229, 2*w^3 - 2*w^2 - 8*w + 5]', '[239, 239, 4*w^3 + w^2 - 19*w - 7]', '[251, 251, 2*w^3 - w^2 - 10*w + 2]', '[263, 263, w^3 - w^2 - 5*w + 8]', '[263, 263, -3*w^3 + 5*w^2 + 12*w - 17]', '[263, 263, w^3 - 3*w^2 + w + 4]', '[263, 263, 2*w^2 + w - 2]', '[269, 269, -w^3 + 2*w^2 + 4*w - 4]', '[271, 271, 3*w - 2]', '[277, 277, -w^3 - w^2 + 6*w - 1]', '[277, 277, w^2 + 3*w - 5]', '[281, 281, 2*w^3 - 12*w - 5]', '[283, 283, -2*w^3 + 9*w - 2]', '[293, 293, -w^2 - 3*w + 7]', '[313, 313, 2*w^3 - 2*w^2 - 6*w + 5]', '[331, 331, -4*w^2 - w + 14]', '[331, 331, -3*w^2 + 3*w + 5]', '[337, 337, 4*w^3 - 16*w + 1]', '[347, 347, -4*w^3 - w^2 + 16*w + 2]', '[359, 359, 2*w^2 - 2*w - 7]', '[359, 359, -2*w^3 + w^2 + 10*w - 4]', '[361, 19, 3*w^3 - 6*w^2 - 12*w + 22]', '[373, 373, -w^3 + w^2 + 2*w - 5]', '[373, 373, -2*w^3 + w^2 + 8*w + 2]', '[379, 379, 2*w^3 - 2*w^2 - 5*w + 4]', '[397, 397, -4*w^3 - w^2 + 18*w + 10]', '[397, 397, -2*w^3 - 3*w^2 + 10*w + 14]', '[409, 409, -2*w^3 + w^2 + 10*w - 8]', '[409, 409, 3*w^2 - 10]', '[419, 419, 2*w^3 + w^2 - 9*w - 1]', '[419, 419, -2*w^3 + w^2 + 6*w - 2]', '[431, 431, 3*w^3 - w^2 - 12*w - 1]', '[431, 431, 4*w^3 + w^2 - 18*w - 4]', '[433, 433, 2*w^3 + 2*w^2 - 11*w - 8]', '[457, 457, 3*w^2 - 8]', '[461, 461, -3*w - 4]', '[461, 461, w^3 + 3*w^2 - 3*w - 8]', '[479, 479, -3*w^3 + w^2 + 12*w - 7]', '[487, 487, 2*w^3 - 3*w^2 - 7*w + 7]', '[491, 491, -w^3 - 3*w^2 + 6*w + 5]', '[557, 557, 4*w^3 - w^2 - 19*w - 1]', '[569, 569, 3*w^2 - w - 7]', '[571, 571, -6*w^3 - 2*w^2 + 25*w + 10]', '[571, 571, w^3 + w^2 - 8*w - 5]', '[577, 577, 2*w^3 - w^2 - 9*w - 1]', '[577, 577, -2*w^3 - 3*w^2 + 7*w + 7]', '[577, 577, w^2 + 2*w - 10]', '[577, 577, 4*w^3 - 18*w - 5]', '[587, 587, -w^3 - 2*w^2 + 6*w + 10]', '[599, 599, 3*w^3 + w^2 - 12*w - 1]', '[599, 599, 3*w^3 + 2*w^2 - 12*w - 10]', '[601, 601, w^2 - 8]', '[613, 613, -3*w^2 - w + 5]', '[617, 617, 3*w^3 - 3*w^2 - 11*w + 10]', '[619, 619, 2*w^3 - 4*w^2 - 7*w + 16]', '[625, 5, -5]', '[631, 631, -w^3 + 2*w^2 + 4*w - 2]', '[641, 641, -3*w^3 - w^2 + 13*w + 2]', '[641, 641, -2*w^3 + 3*w^2 + 8*w - 8]', '[643, 643, -2*w^3 + 9*w - 4]', '[653, 653, -3*w^3 - w^2 + 8*w + 1]', '[673, 673, -2*w^3 + 11*w - 2]', '[673, 673, -w^3 + w^2 + w - 4]', '[677, 677, 4*w^3 + 2*w^2 - 19*w - 14]', '[691, 691, 2*w^3 + 3*w^2 - 8*w - 10]', '[691, 691, -w^3 + 3*w^2 + 5*w - 16]', '[701, 701, 2*w^3 + 2*w^2 - 8*w - 1]', '[709, 709, 7*w^3 + w^2 - 30*w - 5]', '[733, 733, -w^3 + 2*w^2 + 2*w - 8]', '[733, 733, -10*w^3 - 3*w^2 + 44*w + 16]', '[739, 739, -3*w^3 - w^2 + 11*w + 10]', '[739, 739, 2*w^3 - 2*w^2 - 11*w + 4]', '[757, 757, w^3 - 3*w^2 - 7*w + 14]', '[769, 769, w^3 + w^2 - 2*w - 7]', '[773, 773, 2*w^3 - 2*w^2 - 9*w + 4]', '[787, 787, 3*w^3 - 14*w + 2]', '[787, 787, 2*w^3 + 2*w^2 - 6*w - 7]', '[797, 797, 2*w^3 + 3*w^2 - 9*w - 11]', '[797, 797, -4*w^3 - 4*w^2 + 19*w + 20]', '[809, 809, w^3 + 3*w^2 - 4*w - 7]', '[821, 821, -w^3 - 3*w^2 + 5*w + 10]', '[839, 839, 2*w^3 + w^2 - 5*w - 5]', '[839, 839, 3*w^3 + 3*w^2 - 14*w - 11]', '[853, 853, -3*w^3 + 3*w^2 + 10*w - 13]', '[859, 859, -4*w^3 + 19*w + 2]', '[859, 859, -2*w^3 + 4*w^2 + 7*w - 10]', '[863, 863, w^2 - 3*w - 5]', '[863, 863, -2*w^3 + 3*w^2 + 12*w - 16]', '[877, 877, -w^3 + 5*w^2 + 4*w - 19]', '[877, 877, -3*w^3 - 3*w^2 + 11*w + 4]', '[881, 881, 2*w^3 + 2*w^2 - 9*w - 2]', '[883, 883, -3*w^3 + 7*w^2 + 13*w - 26]', '[887, 887, -w^3 + 2*w^2 + 6*w - 2]', '[907, 907, 8*w^3 + 3*w^2 - 33*w - 11]', '[907, 907, -w^3 - w^2 + w - 4]', '[907, 907, -2*w^3 + 6*w^2 + 8*w - 23]', '[907, 907, -3*w^3 + w^2 + 11*w - 4]', '[911, 911, -3*w^3 - 3*w^2 + 12*w + 13]', '[911, 911, w^3 + 3*w^2 - 6*w - 7]', '[929, 929, 2*w^3 + 3*w^2 - 9*w - 7]', '[941, 941, 4*w - 1]', '[947, 947, w^3 + w^2 - 7*w - 8]', '[953, 953, -4*w^3 + w^2 + 14*w - 8]', '[953, 953, 2*w^3 + w^2 - 9*w + 1]', '[967, 967, -w^3 + w^2 + 7*w - 2]', '[967, 967, 4*w^3 + 3*w^2 - 18*w - 8]', '[971, 971, 2*w^3 + 3*w^2 - 8*w - 8]', '[977, 977, 4*w^3 - 16*w - 1]', '[977, 977, 7*w^3 + w^2 - 29*w - 4]', '[977, 977, 3*w^3 - w^2 - 14*w - 1]', '[977, 977, -3*w^3 + 10*w + 2]', '[983, 983, -2*w^3 - 2*w^2 + 7*w - 2]', '[991, 991, 7*w^3 + w^2 - 30*w - 7]', '[991, 991, 4*w^3 - 2*w^2 - 17*w + 4]', '[997, 997, 4*w^3 + 2*w^2 - 16*w - 11]', '[997, 997, 6*w^3 + 4*w^2 - 25*w - 14]']}
95. label: 4.4.7600.1
    {'degree': 4, 'discriminant': 7600, 'ideals': ['[1, 1, 1]', '[4, 2, -w^3 + w^2 + 5*w - 6]', '[9, 3, -w^2 - w + 4]', '[9, 3, w^2 - w - 4]', '[11, 11, w + 1]', '[11, 11, w - 1]', '[16, 2, 2]', '[19, 19, -w]', '[19, 19, -w^2 - w + 6]', '[19, 19, -w^2 + w + 6]', '[25, 5, 2*w^2 - 9]', '[29, 29, -w^3 + 4*w + 2]', '[29, 29, -w^3 + 4*w - 2]', '[36, 6, w^3 - 2*w^2 - 4*w + 9]', '[36, 6, -w^2 + w + 7]', '[41, 41, 2*w^2 - w - 7]', '[41, 41, w^3 - w^2 - 6*w + 4]', '[44, 22, -3*w^2 - w + 13]', '[44, 22, -3*w^2 + w + 13]', '[61, 61, -w^3 + 3*w^2 + 6*w - 14]', '[61, 61, w^3 + 2*w^2 - 5*w - 8]', '[61, 61, -w^3 + 2*w^2 + 5*w - 8]', '[61, 61, w^3 + 3*w^2 - 6*w - 14]', '[64, 4, -2*w^3 + 2*w^2 + 10*w - 12]', '[76, 38, -w^3 + 4*w^2 + 6*w - 19]', '[76, 38, -w^3 + w^2 + 5*w - 2]', '[76, 38, -w^3 - w^2 + 5*w + 2]', '[81, 3, 3]', '[81, 9, w^3 + w^2 - 4*w - 6]', '[81, 9, 2*w^2 + w - 11]', '[89, 89, -w^3 + w^2 + 6*w - 9]', '[89, 89, 2*w^3 - w^2 - 10*w + 10]', '[99, 33, -w^3 - 2*w^2 + 3*w + 4]', '[99, 33, w^3 - 5*w - 4]', '[99, 33, w^3 - 2*w^2 - 3*w + 4]', '[99, 33, -w^3 + 5*w - 4]', '[100, 10, w^3 - 3*w^2 - 7*w + 16]', '[109, 109, -w^3 + 5*w^2 + 7*w - 23]', '[109, 109, -w^3 + 6*w - 4]', '[116, 58, -w^3 + 3*w^2 + 5*w - 12]', '[116, 58, 3*w^3 - w^2 - 15*w + 12]', '[121, 11, -3*w^2 + 13]', '[121, 11, 3*w^2 - 14]', '[121, 121, w^3 - 2*w^2 - 4*w + 10]', '[121, 121, w^3 + 2*w^2 - 4*w - 10]', '[131, 131, -w^3 - 4*w^2 + 4*w + 16]', '[131, 131, w^3 - 4*w^2 - 4*w + 16]', '[139, 139, -w^3 + 2*w^2 + 5*w - 7]', '[139, 139, w^3 + 2*w^2 - 5*w - 7]', '[144, 6, -2*w^2 - 2*w + 8]', '[144, 6, 2*w^2 - 2*w - 8]', '[149, 149, 2*w^3 - w^2 - 10*w + 7]', '[149, 149, 2*w^3 + 2*w^2 - 10*w - 11]', '[149, 149, -2*w^3 + 2*w^2 + 10*w - 11]', '[149, 149, 2*w^3 + w^2 - 10*w - 7]', '[151, 151, 3*w^2 - 2*w - 11]', '[151, 151, -w^3 + w^2 + 4*w - 7]', '[151, 151, w^3 + w^2 - 4*w - 7]', '[151, 151, 3*w^2 + 2*w - 11]', '[164, 82, -2*w^3 + 3*w^2 + 9*w - 15]', '[164, 82, -3*w^3 + 8*w^2 + 18*w - 43]', '[171, 57, w^3 + w^2 - 4*w]', '[171, 57, -w^3 + w^2 + 4*w]', '[171, 57, 2*w^3 - 2*w^2 - 9*w + 7]', '[171, 57, -w^3 - 2*w^2 + 7*w + 12]', '[171, 57, -2*w^3 - 2*w^2 + 9*w + 7]', '[171, 57, w^3 - 2*w^2 - 7*w + 12]', '[176, 22, 2*w + 2]', '[176, 22, 2*w - 2]', '[181, 181, 4*w^2 - w - 21]', '[181, 181, 4*w^2 + w - 21]', '[191, 191, 3*w^2 - 2*w - 15]', '[191, 191, 3*w^2 + 2*w - 15]', '[199, 199, 2*w^2 - w - 4]', '[199, 199, 2*w^2 + w - 4]', '[209, 209, w^3 + 2*w^2 - 6*w - 8]', '[209, 209, w^3 - 4*w^2 - 5*w + 19]', '[209, 209, -w^2 - 2*w + 3]', '[209, 209, -w^2 + 2*w + 3]', '[209, 209, -w^3 - 4*w^2 + 5*w + 19]', '[209, 209, w^3 - 2*w^2 - 6*w + 8]', '[211, 211, w^3 + 3*w^2 - 6*w - 13]', '[211, 211, w^3 - w^2 - 5*w + 9]', '[211, 211, -w^3 - w^2 + 5*w + 9]', '[211, 211, -w^3 + 3*w^2 + 6*w - 13]', '[225, 15, -2*w^3 + w^2 + 9*w - 2]', '[225, 15, -2*w^3 - w^2 + 9*w + 2]', '[239, 239, -w^3 + 2*w^2 + 5*w - 14]', '[239, 239, w^3 + 2*w^2 - 5*w - 14]', '[241, 241, -2*w^3 + 8*w + 1]', '[241, 241, 2*w^3 - 8*w + 1]', '[244, 122, 5*w^3 - 12*w^2 - 30*w + 65]', '[244, 122, -2*w^3 + w^2 + 9*w - 9]', '[244, 122, 2*w^3 - 5*w^2 - 13*w + 29]', '[244, 122, -w^3 + 2*w^2 + 4*w - 11]', '[251, 251, w^3 - 3*w^2 - 4*w + 15]', '[251, 251, -w^3 - 3*w^2 + 4*w + 15]', '[256, 4, 4]', '[261, 87, w^3 + 3*w^2 - 5*w - 11]', '[261, 87, -w^3 + 7*w^2 + w - 27]', '[261, 87, -w^3 + 3*w^2 + 5*w - 11]', '[261, 87, w^3 + 7*w^2 - w - 27]', '[269, 269, 2*w^3 - w^2 - 10*w + 5]', '[269, 269, 2*w^3 + w^2 - 10*w - 5]', '[271, 271, w^3 - 7*w + 2]', '[271, 271, -w^3 + 7*w + 2]', '[275, 55, 2*w^3 + 2*w^2 - 9*w - 9]', '[275, 55, 2*w^3 - 2*w^2 - 9*w + 9]', '[281, 281, 2*w^3 + w^2 - 9*w - 6]', '[281, 281, -2*w^3 + w^2 + 9*w - 6]', '[289, 17, w^2 + 2*w - 11]', '[289, 17, w^2 - 2*w - 11]', '[304, 38, -2*w]', '[304, 38, -2*w^2 - 2*w + 12]', '[304, 38, -2*w^2 + 2*w + 12]', '[311, 311, 2*w^3 - 9*w + 2]', '[311, 311, 2*w^3 - 9*w - 2]', '[319, 319, -w^3 - 5*w^2 + 6*w + 21]', '[319, 319, -w^3 - 5*w^2 + 2*w + 17]', '[319, 319, w^3 - 5*w^2 - 2*w + 17]', '[319, 319, w^3 - 5*w^2 - 6*w + 21]', '[324, 6, -3*w^3 + 3*w^2 + 15*w - 18]', '[324, 18, 2*w^3 + w^2 - 11*w - 9]', '[324, 18, -2*w^3 + w^2 + 11*w - 9]', '[331, 331, 2*w^3 + 2*w^2 - 10*w - 7]', '[331, 331, w^3 - 5*w^2 - 4*w + 25]', '[331, 331, -w^3 - 5*w^2 + 4*w + 25]', '[331, 331, -2*w^3 + 2*w^2 + 10*w - 7]', '[349, 349, -w^3 + 5*w^2 + 6*w - 23]', '[349, 349, -w^3 - 4*w^2 + 4*w + 20]', '[349, 349, -w^3 + 4*w^2 + 4*w - 20]', '[349, 349, w^3 + 5*w^2 - 6*w - 23]', '[356, 178, 2*w^3 - w^2 - 9*w + 3]', '[356, 178, -2*w^3 - w^2 + 9*w + 3]', '[359, 359, -w^3 + w^2 + 6*w - 1]', '[359, 359, w^3 + w^2 - 6*w - 1]', '[361, 19, 4*w^2 - 19]', '[361, 19, w^3 + w^2 - 6*w]', '[361, 19, -2*w^3 - 4*w^2 + 11*w + 19]', '[361, 19, -4*w^2 + 17]', '[361, 361, w^3 - 4*w^2 - 3*w + 18]', '[361, 361, w^3 + 4*w^2 - 3*w - 18]', '[369, 123, -3*w^3 + 4*w^2 + 11*w - 10]', '[369, 123, -w^3 - 2*w^2 + 3*w + 10]', '[369, 123, 2*w^3 - 2*w^2 - 9*w + 16]', '[369, 123, -4*w^2 + w + 22]', '[379, 379, -4*w^3 + 4*w^2 + 21*w - 28]', '[379, 379, -4*w^2 + 3*w + 17]', '[379, 379, -4*w^2 - 3*w + 17]', '[379, 379, 2*w^3 + 5*w^2 - 9*w - 24]', '[396, 66, w^3 + 2*w^2 - 6*w - 7]', '[396, 66, 2*w^3 - w^2 - 9*w + 5]', '[396, 66, -w^3 + 2*w^2 + 6*w - 7]', '[396, 66, 2*w^3 + w^2 - 9*w - 5]', '[400, 10, 4*w^2 - 18]', '[401, 401, -3*w^3 + 5*w^2 + 15*w - 27]', '[401, 401, w^3 - 6*w^2 - 8*w + 30]', '[409, 409, 2*w^3 + 4*w^2 - 9*w - 15]', '[409, 409, -2*w^3 + 4*w^2 + 9*w - 15]', '[419, 419, -w - 5]', '[419, 419, w - 5]', '[421, 421, w^3 - 7*w + 1]', '[421, 421, -w^3 + 7*w + 1]', '[431, 431, -w^3 + w^2 + 7*w - 5]', '[431, 431, -w^3 + 5*w^2 + 6*w - 24]', '[431, 431, 4*w^3 - 10*w^2 - 23*w + 52]', '[431, 431, w^3 + w^2 - 7*w - 5]', '[436, 218, -w^3 - 3*w^2 + 3*w + 14]', '[436, 218, w^3 - 3*w^2 - 3*w + 14]', '[449, 449, w^3 + 3*w^2 - 6*w - 12]', '[449, 449, w^3 - 3*w^2 - 6*w + 12]', '[451, 451, -2*w^3 + 4*w^2 + 10*w - 23]', '[451, 451, 2*w^3 - 3*w^2 - 6*w + 7]', '[451, 451, 2*w^2 - 2*w - 15]', '[451, 451, 2*w^3 + w^2 - 8*w - 7]', '[461, 461, w^3 + 3*w^2 - 4*w - 16]', '[461, 461, w^3 - 3*w^2 - 4*w + 20]', '[461, 461, -w^3 - 3*w^2 + 4*w + 20]', '[461, 461, -w^3 + 3*w^2 + 4*w - 16]', '[464, 58, -2*w^3 + 8*w + 4]', '[464, 58, -2*w^3 + 8*w - 4]', '[475, 95, -2*w^3 + 9*w]', '[475, 95, -2*w^3 + 3*w^2 + 9*w - 16]', '[475, 95, 2*w^3 + 3*w^2 - 9*w - 16]', '[479, 479, 2*w^3 - 12*w + 3]', '[479, 479, -2*w^3 + 12*w + 3]', '[484, 22, -w^3 + 4*w^2 + 8*w - 21]', '[484, 22, 2*w^3 - 5*w^2 - 13*w + 27]', '[484, 242, -w^3 - 5*w^2 + 7*w + 22]', '[484, 242, w^3 - 5*w^2 - 7*w + 22]', '[491, 491, -2*w^3 + 3*w^2 + 8*w - 14]', '[491, 491, 2*w^3 + 3*w^2 - 8*w - 14]', '[499, 499, 3*w^2 + 2*w - 8]', '[499, 499, -3*w^2 + 2*w + 8]', '[509, 509, 2*w^3 - 6*w^2 - 13*w + 33]', '[509, 509, 3*w^3 - 4*w^2 - 15*w + 24]', '[521, 521, 5*w^2 - w - 24]', '[521, 521, -5*w^2 - w + 24]', '[524, 262, w^3 + 5*w^2 - w - 20]', '[524, 262, -w^3 + 3*w^2 + 9*w - 20]', '[549, 183, -2*w^3 + 4*w^2 + 9*w - 20]', '[549, 183, -4*w^3 + 2*w^2 + 19*w - 18]', '[549, 183, -2*w^3 - 2*w^2 + 9*w + 13]', '[549, 183, -2*w^3 - 6*w^2 + 7*w + 25]', '[549, 183, -2*w^3 + 6*w^2 + 7*w - 25]', '[549, 183, -2*w^3 + 2*w^2 + 9*w - 13]', '[549, 183, -4*w^3 - 2*w^2 + 19*w + 18]', '[549, 183, -2*w^3 - 4*w^2 + 9*w + 20]', '[551, 551, -w^3 + 3*w^2 + 3*w - 7]', '[551, 551, 5*w^2 + 2*w - 19]', '[551, 551, -w^3 - 7*w^2 + 7*w + 31]', '[551, 551, -w^3 + 7*w^2 + 7*w - 31]', '[551, 551, 5*w^2 - 2*w - 19]', '[551, 551, -w^3 - 3*w^2 + 3*w + 7]', '[556, 278, 4*w^3 - 7*w^2 - 21*w + 39]', '[556, 278, -2*w^3 + 7*w^2 + 13*w - 37]', '[569, 569, -2*w^3 + 11*w - 7]', '[569, 569, w^3 - 6*w^2 - 7*w + 26]', '[571, 571, 2*w^3 + w^2 - 10*w + 1]', '[571, 571, 3*w^3 - 8*w^2 - 17*w + 39]', '[576, 12, 2*w^3 - 4*w^2 - 8*w + 18]', '[576, 12, -2*w^2 + 2*w + 14]', '[596, 298, -7*w^3 + 10*w^2 + 38*w - 61]', '[596, 298, -w^3 + w^2 + 5*w - 10]', '[596, 298, 7*w^3 - 11*w^2 - 39*w + 66]', '[596, 298, -w^3 + 2*w^2 + 6*w - 15]', '[601, 601, -w^3 + 2*w^2 + 6*w - 6]', '[601, 601, w^3 + 2*w^2 - 6*w - 6]', '[604, 302, -3*w^3 + 6*w^2 + 14*w - 29]', '[604, 302, 4*w^3 - 3*w^2 - 21*w + 23]', '[604, 302, -2*w^3 + 5*w^2 + 11*w - 23]', '[604, 302, w^3 - 10*w^2 - 10*w + 47]', '[619, 619, 2*w^3 - 3*w^2 - 9*w + 8]', '[619, 619, 2*w^3 + 3*w^2 - 9*w - 8]', '[625, 5, 5]', '[631, 631, 2*w^2 - 3*w - 11]', '[631, 631, 2*w^2 + 3*w - 11]', '[641, 641, 3*w^3 + w^2 - 14*w - 9]', '[641, 641, 3*w^3 - 2*w^2 - 15*w + 6]', '[656, 82, 4*w^2 - 2*w - 14]', '[656, 82, 2*w^3 - 2*w^2 - 12*w + 8]', '[661, 661, 6*w^3 - 9*w^2 - 32*w + 51]', '[661, 661, 3*w^3 - 2*w^2 - 15*w + 13]', '[671, 671, 2*w^3 - 8*w + 5]', '[671, 671, 3*w^3 - 6*w^2 - 13*w + 27]', '[671, 671, 4*w^3 + 6*w^2 - 20*w - 33]', '[671, 671, w^3 - 2*w^2 - 3*w + 11]', '[671, 671, w^3 + 2*w^2 - 3*w - 11]', '[671, 671, 4*w^3 - 6*w^2 - 20*w + 33]', '[671, 671, 3*w^3 + 6*w^2 - 13*w - 27]', '[671, 671, 2*w^3 - 8*w - 5]', '[684, 114, -w^3 - w^2 + 7*w]', '[684, 114, w^3 - w^2 - 7*w]', '[684, 114, -w^3 + w^2 + 3*w - 8]', '[684, 114, -5*w^2 - w + 23]', '[684, 114, w^3 + w^2 - 3*w - 8]', '[684, 114, 5*w^2 - w - 23]', '[691, 691, -3*w^3 - 2*w^2 + 15*w + 8]', '[691, 691, 3*w^3 - 2*w^2 - 15*w + 8]', '[701, 701, 2*w^3 - 11*w + 4]', '[701, 701, 3*w^3 + 4*w^2 - 13*w - 15]', '[701, 701, -3*w^3 + 4*w^2 + 13*w - 15]', '[701, 701, -2*w^3 + 11*w + 4]', '[704, 44, -6*w^2 - 2*w + 26]', '[704, 44, -6*w^2 + 2*w + 26]', '[709, 709, w^3 - 2*w^2 - 5*w + 15]', '[709, 709, -2*w^3 + 3*w^2 + 8*w - 6]', '[709, 709, 2*w^3 + 3*w^2 - 8*w - 6]', '[709, 709, -w^3 - 2*w^2 + 5*w + 15]', '[719, 719, -3*w^3 - 3*w^2 + 14*w + 16]', '[719, 719, 3*w^3 - 3*w^2 - 14*w + 16]', '[724, 362, 4*w^3 - 5*w^2 - 23*w + 31]', '[724, 362, 6*w^3 - 13*w^2 - 35*w + 69]', '[725, 145, -w^3 + 4*w^2 + 2*w - 18]', '[725, 145, -w^3 - 4*w^2 + 2*w + 18]', '[729, 9, -3*w^2 - 3*w + 12]', '[729, 9, 3*w^2 - 3*w - 12]', '[729, 27, -2*w^3 - 4*w^2 + 9*w + 14]', '[729, 27, 2*w^3 - 4*w^2 - 9*w + 14]', '[739, 739, -w^3 + 4*w - 6]', '[739, 739, w^3 - 4*w - 6]', '[751, 751, 2*w^3 + w^2 - 11*w - 2]', '[751, 751, 3*w^2 + 2*w - 17]', '[751, 751, -3*w^2 + 2*w + 17]', '[751, 751, -2*w^3 + w^2 + 11*w - 2]', '[764, 382, w^3 + 2*w^2 - 6*w - 5]', '[764, 382, 5*w^3 - 14*w^2 - 30*w + 71]', '[779, 779, 3*w^3 - 13*w - 4]', '[779, 779, 2*w^3 + 2*w^2 - 13*w - 14]', '[779, 779, -2*w^3 + w^2 + 7*w]', '[779, 779, w^3 - 3*w^2 - 4*w + 19]', '[779, 779, -w^3 + 2*w^2 + w - 4]', '[779, 779, 4*w^3 - 4*w^2 - 21*w + 24]', '[796, 398, -5*w^3 + 6*w^2 + 24*w - 33]', '[796, 398, -3*w^3 - 2*w^2 + 12*w + 5]', '[801, 267, 2*w^3 + 4*w^2 - 11*w - 18]', '[801, 267, -w^3 + 5*w^2 + w - 15]', '[801, 267, -w^3 - 2*w^2 + 6*w + 4]', '[801, 267, -3*w^3 - 5*w^2 + 14*w + 20]', '[809, 809, w^3 - 6*w^2 - 3*w + 25]', '[809, 809, w^3 + 3*w^2 - 3*w - 15]', '[809, 809, w^3 - 3*w^2 - 3*w + 15]', '[809, 809, -w^3 - 6*w^2 + 3*w + 25]', '[829, 829, -3*w^3 - 4*w^2 + 13*w + 17]', '[829, 829, 3*w^3 - 4*w^2 - 13*w + 17]', '[836, 418, -3*w^3 + 5*w^2 + 15*w - 28]', '[836, 418, -w^3 - 4*w^2 + 8*w + 19]', '[836, 418, w^3 + w^2 - 3*w - 10]', '[836, 418, -w^3 + w^2 + 3*w - 10]', '[836, 418, -w^3 + 4*w^2 + 8*w - 19]', '[836, 418, 3*w^3 + 5*w^2 - 15*w - 28]', '[841, 29, 5*w^2 - 24]', '[841, 29, 5*w^2 - 21]', '[841, 841, -w^3 + w^2 + 3*w - 9]', '[841, 841, w^3 + w^2 - 3*w - 9]', '[844, 422, -2*w^3 + 3*w^2 + 9*w - 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10*w^2 - 18*w + 51]', '[1691, 1691, -2*w^3 - 3*w^2 + 8*w + 16]', '[1691, 1691, 3*w^3 + w^2 - 12*w + 3]', '[1691, 1691, -w^3 + 3*w^2 + 9*w - 19]', '[1691, 1691, w^3 - 8*w^2 - 10*w + 38]', '[1691, 1691, 3*w^3 - w^2 - 12*w - 3]', '[1691, 1691, -2*w^3 + 3*w^2 + 8*w - 16]', '[1709, 1709, 2*w^3 + 2*w^2 - 10*w - 17]', '[1709, 1709, -2*w^3 + 2*w^2 + 10*w - 17]', '[1719, 573, -w^3 + 2*w^2 + 7*w - 3]', '[1719, 573, -5*w^3 + 2*w^2 + 23*w + 3]', '[1719, 573, -w^3 - 2*w^2 + 7*w + 3]', '[1719, 573, -5*w^3 - 2*w^2 + 23*w - 3]', '[1724, 862, 5*w^3 - 13*w^2 - 29*w + 68]', '[1724, 862, w^3 + 2*w^2 - 8*w - 11]', '[1724, 862, -w^3 + 2*w^2 + 8*w - 11]', '[1724, 862, -3*w^3 + 9*w^2 + 17*w - 46]', '[1741, 1741, -7*w^2 - 2*w + 32]', '[1741, 1741, 7*w^2 - 2*w - 32]', '[1744, 218, -2*w^3 + 10*w^2 + 14*w - 46]', '[1744, 218, -2*w^3 + 12*w - 8]', '[1759, 1759, 3*w^3 + 2*w^2 - 14*w - 10]', '[1759, 1759, -3*w^3 + 2*w^2 + 14*w - 10]', '[1769, 1769, -3*w^3 + 2*w^2 + 13*w - 9]', '[1769, 1769, 4*w^2 - 4*w - 15]', '[1769, 1769, -w^3 + 7*w^2 + 10*w - 35]', '[1769, 1769, 4*w^3 - 5*w^2 - 20*w + 26]', '[1769, 1769, -4*w^3 - 5*w^2 + 20*w + 26]', '[1769, 1769, 3*w^2 + 4*w - 16]', '[1769, 1769, 7*w^3 - 14*w^2 - 39*w + 74]', '[1769, 1769, 3*w^3 + 2*w^2 - 13*w - 9]', '[1789, 1789, -w^3 + 5*w^2 + 4*w - 28]', '[1789, 1789, w^3 + 5*w^2 - 4*w - 28]', '[1791, 597, -w^3 - 5*w^2 + 22]', '[1791, 597, -3*w^3 + 7*w^2 + 8*w - 22]', '[1791, 597, -3*w^3 - 7*w^2 + 8*w + 22]', '[1791, 597, -w^3 + 5*w^2 - 22]', '[1796, 898, -3*w^3 + 4*w^2 + 14*w - 23]', '[1796, 898, 3*w^3 - 10*w^2 - 20*w + 53]', '[1801, 1801, -3*w^3 + 2*w^2 + 13*w - 7]', '[1801, 1801, 3*w^3 + 2*w^2 - 13*w - 7]', '[1804, 902, 3*w^3 + 5*w^2 - 17*w - 24]', '[1804, 902, 5*w^3 - 8*w^2 - 20*w + 23]', '[1804, 902, 5*w^3 - w^2 - 25*w + 14]', '[1804, 902, w^3 - 6*w^2 - 6*w + 23]', '[1811, 1811, -2*w^3 - 3*w^2 + 12*w + 12]', '[1811, 1811, 2*w^3 - 3*w^2 - 12*w + 12]', '[1831, 1831, -4*w^3 + 12*w^2 + 24*w - 59]', '[1831, 1831, -2*w^3 - w^2 + 11*w - 2]', '[1844, 922, 3*w^3 - 8*w^2 - 18*w + 39]', '[1844, 922, -9*w^3 + 10*w^2 + 48*w - 63]', '[1844, 922, -7*w^3 + 12*w^2 + 38*w - 63]', '[1844, 922, 5*w^3 - 6*w^2 - 28*w + 39]', '[1856, 116, -2*w^3 + 6*w^2 + 10*w - 24]', '[1856, 116, 6*w^3 - 2*w^2 - 30*w + 24]', '[1861, 1861, w^3 - 5*w^2 + 24]', '[1861, 1861, -w^3 - 5*w^2 + 24]', '[1871, 1871, -w^3 + 2*w^2 + 8*w - 10]', '[1871, 1871, w^3 + 2*w^2 - 8*w - 10]', '[1879, 1879, 5*w^2 - 2*w - 27]', '[1879, 1879, 5*w^2 + 2*w - 27]', '[1881, 627, -w^3 - 5*w^2 + 3*w + 25]', '[1881, 627, -7*w^2 - 2*w + 31]', '[1881, 627, 4*w^3 - 3*w^2 - 20*w + 19]', '[1881, 627, 3*w^3 + 8*w^2 - 17*w - 38]', '[1881, 627, -w^3 + 5*w + 7]', '[1881, 627, -w^3 - 6*w^2 + 8*w + 32]', '[1881, 627, w^3 - 6*w^2 - 8*w + 32]', '[1881, 627, -w^3 + 5*w - 7]', '[1881, 627, -3*w^3 + 8*w^2 + 17*w - 38]', '[1881, 627, 4*w^3 + 3*w^2 - 20*w - 19]', '[1881, 627, w^3 - 5*w^2 - 3*w + 25]', '[1881, 627, 7*w^2 - 2*w - 31]', '[1889, 1889, 4*w^2 + 3*w - 10]', '[1889, 1889, 4*w^3 + 5*w^2 - 20*w - 25]', '[1899, 633, -2*w^3 - 5*w^2 + 8*w + 24]', '[1899, 633, -4*w^3 - w^2 + 18*w + 14]', '[1899, 633, w^3 - 8*w^2 - 10*w + 36]', '[1899, 633, w^3 - 8*w + 2]', '[1899, 633, w^3 - 8*w - 2]', '[1899, 633, w^3 + 8*w^2 - 10*w - 36]', '[1899, 633, -2*w^3 + 5*w^2 + 8*w - 24]', '[1899, 633, -4*w^3 + w^2 + 18*w - 14]', '[1900, 190, 3*w^3 - 2*w^2 - 16*w + 19]', '[1900, 190, w^3 + 5*w^2 - 7*w - 20]', '[1900, 190, w^3 - 5*w^2 - 7*w + 20]', '[1916, 958, -9*w^3 + 17*w^2 + 49*w - 94]', '[1916, 958, 3*w^3 - 11*w^2 - 19*w + 58]', '[1931, 1931, -w^3 - 8*w^2 + 2*w + 34]', '[1931, 1931, 3*w^3 - 14*w - 2]', '[1931, 1931, 3*w^3 - 14*w + 2]', '[1931, 1931, w^3 - 8*w^2 - 2*w + 34]', '[1936, 22, -6*w^2 + 26]', '[1936, 22, 6*w^2 - 28]', '[1936, 242, 2*w^3 - 4*w^2 - 8*w + 20]', '[1936, 242, 2*w^3 + 4*w^2 - 8*w - 20]', '[1949, 1949, -3*w^3 - w^2 + 14*w + 3]', '[1949, 1949, 4*w^3 - 5*w^2 - 17*w + 22]', '[1949, 1949, 4*w^3 + 5*w^2 - 17*w - 22]', '[1949, 1949, 3*w^3 - w^2 - 14*w + 3]', '[1964, 982, 4*w^3 - 3*w^2 - 23*w + 27]', '[1964, 982, 7*w^2 + 3*w - 27]', '[1979, 1979, -w - 7]', '[1979, 1979, -w^3 + w^2 + w - 5]', '[1979, 1979, w^3 + w^2 - w - 5]', '[1979, 1979, w - 7]', '[1991, 1991, 4*w^3 + 3*w^2 - 22*w - 21]', '[1991, 1991, 4*w^3 + 5*w^2 - 20*w - 21]', '[1991, 1991, 4*w^3 - 5*w^2 - 20*w + 21]', '[1991, 1991, 4*w^3 - 3*w^2 - 22*w + 21]', '[1996, 998, -2*w^3 - 7*w^2 + 5*w + 29]', '[1996, 998, 6*w^3 - 9*w^2 - 29*w + 47]', '[1999, 1999, 4*w^3 - 13*w^2 - 25*w + 64]', '[1999, 1999, 2*w^3 - 7*w^2 - 10*w + 28]', '[2011, 2011, w^3 - 4*w^2 - 3*w + 21]', '[2011, 2011, -w^3 - 4*w^2 + 3*w + 21]', '[2025, 15, 6*w^2 - 27]', '[2025, 45, 2*w^3 - 4*w^2 - 9*w + 23]', '[2025, 45, w^3 - 3*w^2 - 2*w + 16]', '[2029, 2029, -w^3 + w^2 + 2*w - 10]', '[2029, 2029, w^3 + w^2 - 2*w - 10]', '[2036, 1018, -2*w^3 + 3*w^2 + 11*w - 11]', '[2036, 1018, 2*w^3 + 3*w^2 - 11*w - 11]', '[2039, 2039, -w^3 + w^2 + 6*w - 12]', '[2039, 2039, -w^3 - w^2 + 6*w + 12]', '[2071, 2071, -5*w^3 + 2*w^2 + 23*w - 19]', '[2071, 2071, w^3 - 6*w^2 + 24]', '[2071, 2071, -3*w^3 - w^2 + 13*w + 5]', '[2071, 2071, -3*w^3 + w^2 + 13*w - 5]', '[2071, 2071, w^3 + 6*w^2 - 24]', '[2071, 2071, 3*w^2 + 4*w - 19]', '[2081, 2081, 4*w^2 + 3*w - 22]', '[2081, 2081, 7*w^3 - 9*w^2 - 36*w + 54]', '[2084, 1042, 3*w^3 - 5*w^2 - 19*w + 30]', '[2084, 1042, -5*w^3 + 13*w^2 + 31*w - 68]', '[2089, 2089, -w^3 + 7*w^2 + 6*w - 31]', '[2089, 2089, 4*w^3 - 13*w^2 - 24*w + 64]', '[2096, 262, -2*w^3 - 8*w^2 + 8*w + 32]', '[2096, 262, 2*w^3 - 8*w^2 - 8*w + 32]', '[2099, 2099, -3*w^3 + w^2 + 13*w - 3]', '[2099, 2099, 3*w^3 + w^2 - 13*w - 3]', '[2101, 2101, 3*w^3 - w^2 - 17*w + 15]', '[2101, 2101, 3*w^3 - 5*w^2 - 13*w + 15]', '[2101, 2101, 3*w^3 + 5*w^2 - 13*w - 15]', '[2101, 2101, 3*w^3 + w^2 - 17*w - 15]', '[2111, 2111, 3*w^3 + 6*w^2 - 13*w - 21]', '[2111, 2111, 3*w^3 - 7*w^2 - 14*w + 35]', '[2111, 2111, -3*w^3 - 7*w^2 + 14*w + 35]', '[2111, 2111, -3*w^3 + 6*w^2 + 13*w - 21]', '[2141, 2141, -4*w^3 + 3*w^2 + 18*w - 8]', '[2141, 2141, 4*w^3 + 3*w^2 - 18*w - 8]', '[2151, 717, 2*w^3 - 13*w + 1]', '[2151, 717, 2*w^3 - 8*w^2 - 15*w + 37]', '[2151, 717, -2*w^3 - 8*w^2 + 15*w + 37]', '[2151, 717, -2*w^3 + 13*w + 1]', '[2161, 2161, -w^3 + w - 1]', '[2161, 2161, w^3 - w - 1]', '[2169, 723, 2*w^3 + 9*w^2 - 7*w - 34]', '[2169, 723, -2*w^3 + 11*w^2 + 5*w - 42]', '[2169, 723, 2*w^3 - 9*w^2 - 7*w + 34]', '[2169, 723, -2*w^3 - 11*w^2 + 5*w + 42]', '[2189, 2189, 2*w^3 - w^2 - 5*w + 4]', '[2189, 2189, 2*w^3 - 3*w^2 - 3*w + 4]', '[2189, 2189, 2*w^3 + 3*w^2 - 3*w - 4]', '[2189, 2189, 2*w^3 + w^2 - 5*w - 4]', '[2196, 366, -2*w^3 + 5*w^2 + 15*w - 31]', '[2196, 366, -w^3 + 5*w^2 + 9*w - 22]', '[2196, 366, 5*w^3 + 8*w^2 - 24*w - 37]', '[2196, 366, 3*w^3 - w^2 - 13*w + 4]', '[2196, 366, w^3 - 3*w^2 + w + 4]', '[2196, 366, -w^3 + 8*w + 1]', '[2196, 366, 7*w^3 + 11*w^2 - 37*w - 60]', '[2196, 366, 4*w^3 - 3*w^2 - 17*w + 7]', '[2204, 1102, -5*w^3 + 3*w^2 + 21*w - 4]', '[2204, 1102, w^3 - 12*w^2 - 12*w + 57]', '[2204, 1102, w^3 - w^2 - w + 4]', '[2204, 1102, -w^3 - w^2 + w + 4]', '[2204, 1102, -3*w^3 + 4*w^2 + 12*w - 19]', '[2204, 1102, 5*w^3 + 3*w^2 - 21*w - 4]', '[2221, 2221, 2*w^3 - 2*w^2 - 11*w + 5]', '[2221, 2221, 2*w^3 - 6*w^2 - 14*w + 31]', '[2221, 2221, -4*w^3 + 9*w^2 + 25*w - 50]', '[2221, 2221, -2*w^3 - 2*w^2 + 11*w + 5]', '[2224, 278, -2*w^3 - 2*w^2 + 12*w + 6]', '[2224, 278, 2*w^3 - 2*w^2 - 12*w + 6]', '[2225, 445, 3*w^3 - 9*w^2 - 16*w + 43]', '[2225, 445, -2*w^3 + 11*w^2 + 14*w - 52]', '[2239, 2239, -5*w^3 + 6*w^2 + 26*w - 34]', '[2239, 2239, -7*w^3 + 9*w^2 + 37*w - 53]', '[2251, 2251, 6*w^3 - 8*w^2 - 34*w + 51]', '[2251, 2251, 2*w^3 - 7*w^2 - 13*w + 32]', '[2259, 753, 4*w^3 - 5*w^2 - 18*w + 16]', '[2259, 753, 2*w^3 - 5*w^2 - 12*w + 22]', '[2259, 753, 4*w^3 + 5*w^2 - 18*w - 16]', '[2259, 753, 2*w^3 + 5*w^2 - 12*w - 22]', '[2269, 2269, -2*w^3 + 4*w^2 + 11*w - 16]', '[2269, 2269, 2*w^3 + 4*w^2 - 11*w - 16]', '[2276, 1138, 2*w^3 - 3*w^2 - 7*w + 15]', '[2276, 1138, 2*w^3 + 3*w^2 - 7*w - 15]', '[2284, 1142, -w^3 + 2*w^2 + 2*w - 13]', '[2284, 1142, w^3 + 2*w^2 - 2*w - 13]', '[2299, 209, -3*w^3 + 14*w]', '[2299, 209, 3*w^3 - 13*w]', '[2299, 209, -3*w^3 + 5*w^2 + 14*w - 27]', '[2299, 209, 3*w^3 - 4*w^2 - 13*w + 21]', '[2299, 209, 3*w^3 + 5*w^2 - 14*w - 27]', '[2299, 209, -3*w^3 - 4*w^2 + 13*w + 21]', '[2299, 2299, -2*w^3 - 5*w^2 + 10*w + 19]', '[2299, 2299, -w^3 + w^2 + 5*w + 3]', '[2299, 2299, w^3 + w^2 - 2*w - 11]', '[2299, 2299, -w^3 + w^2 + 2*w - 11]', '[2299, 2299, -w^3 - w^2 + 5*w - 3]', '[2299, 2299, 2*w^3 - 5*w^2 - 10*w + 19]', '[2304, 12, -4*w^2 - 4*w + 16]', '[2304, 12, 4*w^2 - 4*w - 16]', '[2309, 2309, -3*w^3 - 7*w^2 + 16*w + 32]', '[2309, 2309, 3*w^3 - 7*w^2 - 16*w + 32]', '[2321, 2321, -3*w^2 + 4*w + 10]', '[2321, 2321, -2*w^3 - 5*w^2 + 14*w + 28]', '[2321, 2321, 4*w^3 - 6*w^2 - 19*w + 32]', '[2321, 2321, 2*w^3 - 7*w - 6]', '[2321, 2321, 2*w^3 - 7*w + 6]', '[2321, 2321, 4*w^3 + 6*w^2 - 19*w - 32]', '[2321, 2321, -2*w^3 + 5*w^2 + 14*w - 28]', '[2321, 2321, 3*w^2 + 4*w - 10]', '[2349, 87, -3*w^3 + 12*w + 6]', '[2349, 87, -3*w^3 + 12*w - 6]', '[2349, 261, 3*w^3 - 4*w^2 - 13*w + 7]', '[2349, 261, w^3 - w^2 - 4*w - 3]', '[2349, 261, -w^3 - 8*w^2 + 3*w + 31]', '[2349, 261, w^3 - 9*w^2 - 8*w + 41]', '[2381, 2381, -3*w^3 + 4*w^2 + 18*w - 18]', '[2381, 2381, -2*w^3 - 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15*w + 7]', '[9684, 1614, 7*w^3 + 11*w^2 - 37*w - 54]', '[9684, 1614, 2*w^3 + 3*w^2 - 13*w - 7]', '[9689, 9689, -4*w^3 + 13*w^2 + 19*w - 56]', '[9689, 9689, 4*w^3 + 13*w^2 - 19*w - 56]', '[9691, 9691, -3*w^3 - 4*w^2 + 13*w + 27]', '[9691, 9691, -4*w^3 + 2*w^2 + 14*w - 1]', '[9691, 9691, 2*w^3 - 13*w^2 - 16*w + 65]', '[9691, 9691, -6*w^3 - 8*w^2 + 26*w + 39]', '[9691, 9691, -6*w^3 + 8*w^2 + 26*w - 39]', '[9691, 9691, -2*w^3 - 13*w^2 + 16*w + 65]', '[9691, 9691, -4*w^3 - 2*w^2 + 14*w + 1]', '[9691, 9691, 3*w^3 - 4*w^2 - 13*w + 27]', '[9701, 9701, 4*w^3 + 6*w^2 - 25*w - 26]', '[9701, 9701, 3*w^3 + 3*w^2 - 17*w - 9]', '[9701, 9701, -3*w^3 + 3*w^2 + 17*w - 9]', '[9701, 9701, -4*w^3 + 6*w^2 + 25*w - 26]', '[9721, 9721, 4*w^3 + 2*w^2 - 21*w - 3]', '[9721, 9721, -4*w^3 + 2*w^2 + 21*w - 3]', '[9739, 9739, 2*w^3 - 5*w^2 - 8*w + 31]', '[9739, 9739, -2*w^3 - 5*w^2 + 8*w + 31]', '[9749, 9749, w^3 + 10*w^2 - 5*w - 41]', '[9749, 9749, -w^3 + 10*w^2 + 5*w - 41]', '[9756, 1626, 5*w^3 - 28*w - 5]', '[9756, 1626, 7*w^3 - 13*w^2 - 33*w + 56]', '[9756, 1626, -5*w^3 - 4*w^2 + 32*w + 33]', '[9756, 1626, -3*w^3 + 5*w^2 + 17*w - 20]', '[9769, 9769, -9*w^3 + 14*w^2 + 51*w - 87]', '[9769, 9769, 4*w^3 - 3*w^2 - 20*w + 27]', '[9781, 9781, -w^3 - 3*w^2 + 20]', '[9781, 9781, -w^3 + 3*w^2 - 20]', '[9791, 9791, w^3 - 7*w^2 - 11*w + 35]', '[9791, 9791, 3*w^3 - 10*w^2 - 22*w + 54]', '[9799, 9799, -w^3 - 10*w^2 + 11*w + 41]', '[9799, 9799, 2*w^3 - 7*w^2 - 11*w + 26]', '[9799, 9799, -2*w^3 - 7*w^2 + 11*w + 26]', '[9799, 9799, w^3 - 10*w^2 - 11*w + 41]', '[9801, 33, -9*w^2 + 39]', '[9801, 33, 9*w^2 - 42]', '[9801, 99, -2*w^3 + 4*w^2 + 5*w - 21]', '[9801, 99, -3*w^3 + 5*w^2 + 13*w - 29]', '[9801, 99, w^3 - 5*w^2 - w + 27]', '[9801, 99, w^3 + 5*w^2 - w - 27]', '[9801, 363, 3*w^3 - 6*w^2 - 12*w + 30]', '[9801, 363, 3*w^3 + 6*w^2 - 12*w - 30]', '[9801, 1089, -w^3 - w^2 + 4*w + 15]', '[9801, 1089, -3*w^3 + 11*w^2 + 16*w - 53]', '[9801, 1089, w^3 - w^2 - 4*w + 15]', '[9801, 1089, 3*w^3 + 11*w^2 - 16*w - 53]', '[9811, 9811, -2*w^3 + 10*w^2 + 9*w - 43]', '[9811, 9811, -2*w^3 - 10*w^2 + 9*w + 43]', '[9836, 4918, 10*w^3 - 21*w^2 - 57*w + 111]', '[9836, 4918, -w^3 - 9*w^2 + 3*w + 48]', '[9836, 4918, w^3 - 9*w^2 - 3*w + 48]', '[9836, 4918, 6*w^3 - 5*w^2 - 33*w + 35]', '[9839, 9839, -w^3 + 11*w^2 + 8*w - 50]', '[9839, 9839, w^3 + 11*w^2 - 8*w - 50]', '[9851, 9851, -7*w^3 + 3*w^2 + 32*w - 27]', '[9851, 9851, -5*w^2 - 6*w + 30]', '[9859, 9859, w^3 + 8*w^2 - 7*w - 29]', '[9859, 9859, -w^3 + 8*w^2 + 7*w - 29]', '[9871, 9871, 3*w^3 + 4*w^2 - 21*w - 14]', '[9871, 9871, 5*w^3 + 10*w^2 - 23*w - 49]', '[9871, 9871, -5*w^3 + 10*w^2 + 23*w - 49]', '[9871, 9871, -3*w^3 + 4*w^2 + 21*w - 14]', '[9881, 9881, 4*w^3 + 6*w^2 - 19*w - 39]', '[9881, 9881, -3*w^3 + 7*w^2 + 12*w - 34]', '[9881, 9881, 3*w^3 + 7*w^2 - 12*w - 34]', '[9881, 9881, -4*w^3 + 6*w^2 + 19*w - 39]', '[9899, 9899, -4*w^3 + 10*w^2 + 18*w - 49]', '[9899, 9899, -5*w^3 + w^2 + 24*w]', '[9899, 9899, 6*w^3 + 8*w^2 - 30*w - 49]', '[9899, 9899, 6*w^3 - 8*w^2 - 30*w + 49]', '[9899, 9899, 5*w^3 + w^2 - 24*w]', '[9899, 9899, -4*w^3 - 10*w^2 + 18*w + 49]', '[9900, 330, -3*w^3 + 4*w^2 + 16*w - 13]', '[9900, 330, w^2 + 5*w - 7]', '[9900, 330, 3*w^3 + 4*w^2 - 16*w - 13]', '[9900, 330, -w^2 + 5*w + 7]', '[9901, 9901, 10*w^2 + 2*w - 47]', '[9901, 9901, 10*w^2 - 2*w - 47]', '[9904, 1238, 4*w^3 - 6*w^2 - 18*w + 16]', '[9904, 1238, -4*w^3 - 6*w^2 + 18*w + 16]', '[9929, 9929, 3*w^3 + 2*w^2 - 12*w - 18]', '[9929, 9929, -5*w^3 + 9*w^2 + 23*w - 45]', '[9929, 9929, 5*w^3 + 9*w^2 - 23*w - 45]', '[9929, 9929, -3*w^3 + 2*w^2 + 12*w - 18]', '[9931, 9931, -2*w^3 + 10*w^2 + 9*w - 46]', '[9931, 9931, -5*w^3 - 3*w^2 + 25*w + 15]', '[9931, 9931, 5*w^3 - 3*w^2 - 25*w + 15]', '[9931, 9931, 2*w^3 + 10*w^2 - 9*w - 46]', '[9941, 9941, w^3 - 3*w - 11]', '[9941, 9941, -3*w^3 + 12*w^2 + 13*w - 60]', '[9941, 9941, 3*w^3 + 12*w^2 - 13*w - 60]', '[9941, 9941, -w^3 + 3*w - 11]', '[9949, 9949, 6*w^3 - 2*w^2 - 31*w + 3]', '[9949, 9949, -6*w^3 - 2*w^2 + 31*w + 3]', '[9956, 4978, -5*w^3 - 8*w^2 + 20*w + 19]', '[9956, 4978, 3*w^3 - 13*w^2 - 7*w + 44]', '[9956, 4978, -3*w^3 + 11*w^2 + 15*w - 44]', '[9956, 4978, -3*w^3 - 11*w^2 + 15*w + 44]', '[9956, 4978, 3*w^3 + 13*w^2 - 7*w - 44]', '[9956, 4978, -3*w^3 + 20*w - 19]', '[9981, 3327, 9*w^3 + 16*w^2 - 35*w - 55]', '[9981, 3327, 5*w^3 + 4*w^2 - 23*w - 21]', '[9981, 3327, -7*w^3 + 9*w^2 + 32*w - 32]', '[9981, 3327, -5*w^3 + 9*w^2 + 28*w - 44]', '[9981, 3327, -7*w^3 - 9*w^2 + 32*w + 32]', '[9981, 3327, -5*w^3 - 9*w^2 + 28*w + 44]', '[9981, 3327, -9*w^3 + 16*w^2 + 35*w - 55]', '[9981, 3327, -5*w^3 + 4*w^2 + 23*w - 21]', '[10000, 10, 10]'], 'label': '4.4.7600.1', 'narrow_class_no': 2, 'primes': ['[4, 2, -w^3 + w^2 + 5*w - 6]', '[9, 3, -w^2 - w + 4]', '[9, 3, w^2 - w - 4]', '[11, 11, w + 1]', '[11, 11, w - 1]', '[19, 19, -w]', '[19, 19, -w^2 - w + 6]', '[19, 19, -w^2 + w + 6]', '[25, 5, 2*w^2 - 9]', '[29, 29, -w^3 + 4*w + 2]', '[29, 29, -w^3 + 4*w - 2]', '[41, 41, 2*w^2 - w - 7]', '[41, 41, w^3 - w^2 - 6*w + 4]', '[61, 61, -w^3 + 3*w^2 + 6*w - 14]', '[61, 61, w^3 + 2*w^2 - 5*w - 8]', '[61, 61, -w^3 + 2*w^2 + 5*w - 8]', '[61, 61, w^3 + 3*w^2 - 6*w - 14]', '[89, 89, -w^3 + w^2 + 6*w - 9]', '[89, 89, 2*w^3 - w^2 - 10*w + 10]', '[109, 109, -w^3 + 5*w^2 + 7*w - 23]', '[109, 109, -w^3 + 6*w - 4]', '[121, 11, -3*w^2 + 13]', '[131, 131, -w^3 - 4*w^2 + 4*w + 16]', '[131, 131, w^3 - 4*w^2 - 4*w + 16]', '[139, 139, -w^3 + 2*w^2 + 5*w - 7]', '[139, 139, w^3 + 2*w^2 - 5*w - 7]', '[149, 149, 2*w^3 - w^2 - 10*w + 7]', '[149, 149, 2*w^3 + 2*w^2 - 10*w - 11]', '[149, 149, -2*w^3 + 2*w^2 + 10*w - 11]', '[149, 149, 2*w^3 + w^2 - 10*w - 7]', '[151, 151, 3*w^2 - 2*w - 11]', '[151, 151, -w^3 + w^2 + 4*w - 7]', '[151, 151, w^3 + w^2 - 4*w - 7]', '[151, 151, 3*w^2 + 2*w - 11]', '[181, 181, 4*w^2 - w - 21]', '[181, 181, 4*w^2 + w - 21]', '[191, 191, 3*w^2 - 2*w - 15]', '[191, 191, 3*w^2 + 2*w - 15]', '[199, 199, 2*w^2 - w - 4]', '[199, 199, 2*w^2 + w - 4]', '[211, 211, w^3 + 3*w^2 - 6*w - 13]', '[211, 211, w^3 - w^2 - 5*w + 9]', '[211, 211, -w^3 - w^2 + 5*w + 9]', '[211, 211, -w^3 + 3*w^2 + 6*w - 13]', '[239, 239, -w^3 + 2*w^2 + 5*w - 14]', '[239, 239, w^3 + 2*w^2 - 5*w - 14]', '[241, 241, -2*w^3 + 8*w + 1]', '[241, 241, 2*w^3 - 8*w + 1]', '[251, 251, w^3 - 3*w^2 - 4*w + 15]', '[251, 251, -w^3 - 3*w^2 + 4*w + 15]', '[269, 269, 2*w^3 - w^2 - 10*w + 5]', '[269, 269, 2*w^3 + w^2 - 10*w - 5]', '[271, 271, w^3 - 7*w + 2]', '[271, 271, -w^3 + 7*w + 2]', '[281, 281, 2*w^3 + w^2 - 9*w - 6]', '[281, 281, -2*w^3 + w^2 + 9*w - 6]', '[289, 17, w^2 + 2*w - 11]', '[289, 17, w^2 - 2*w - 11]', '[311, 311, 2*w^3 - 9*w + 2]', '[311, 311, 2*w^3 - 9*w - 2]', '[331, 331, 2*w^3 + 2*w^2 - 10*w - 7]', '[331, 331, w^3 - 5*w^2 - 4*w + 25]', '[331, 331, -w^3 - 5*w^2 + 4*w + 25]', '[331, 331, -2*w^3 + 2*w^2 + 10*w - 7]', '[349, 349, -w^3 + 5*w^2 + 6*w - 23]', '[349, 349, -w^3 - 4*w^2 + 4*w + 20]', '[349, 349, -w^3 + 4*w^2 + 4*w - 20]', '[349, 349, w^3 + 5*w^2 - 6*w - 23]', '[359, 359, -w^3 + w^2 + 6*w - 1]', '[359, 359, w^3 + w^2 - 6*w - 1]', '[379, 379, -4*w^3 + 4*w^2 + 21*w - 28]', '[379, 379, -4*w^2 + 3*w + 17]', '[379, 379, -4*w^2 - 3*w + 17]', '[379, 379, 2*w^3 + 5*w^2 - 9*w - 24]', '[401, 401, -3*w^3 + 5*w^2 + 15*w - 27]', '[401, 401, w^3 - 6*w^2 - 8*w + 30]', '[409, 409, 2*w^3 + 4*w^2 - 9*w - 15]', '[409, 409, -2*w^3 + 4*w^2 + 9*w - 15]', '[419, 419, -w - 5]', '[419, 419, w - 5]', '[421, 421, w^3 - 7*w + 1]', '[421, 421, -w^3 + 7*w + 1]', '[431, 431, -w^3 + w^2 + 7*w - 5]', '[431, 431, -w^3 + 5*w^2 + 6*w - 24]', '[431, 431, 4*w^3 - 10*w^2 - 23*w + 52]', '[431, 431, w^3 + w^2 - 7*w - 5]', '[449, 449, w^3 + 3*w^2 - 6*w - 12]', '[449, 449, w^3 - 3*w^2 - 6*w + 12]', '[461, 461, w^3 + 3*w^2 - 4*w - 16]', '[461, 461, w^3 - 3*w^2 - 4*w + 20]', '[461, 461, -w^3 - 3*w^2 + 4*w + 20]', '[461, 461, -w^3 + 3*w^2 + 4*w - 16]', '[479, 479, 2*w^3 - 12*w + 3]', '[479, 479, -2*w^3 + 12*w + 3]', '[491, 491, -2*w^3 + 3*w^2 + 8*w - 14]', '[491, 491, 2*w^3 + 3*w^2 - 8*w - 14]', '[499, 499, 3*w^2 + 2*w - 8]', '[499, 499, -3*w^2 + 2*w + 8]', '[509, 509, 2*w^3 - 6*w^2 - 13*w + 33]', '[509, 509, 3*w^3 - 4*w^2 - 15*w + 24]', '[521, 521, 5*w^2 - w - 24]', '[521, 521, -5*w^2 - w + 24]', '[569, 569, -2*w^3 + 11*w - 7]', '[569, 569, w^3 - 6*w^2 - 7*w + 26]', '[571, 571, 2*w^3 + w^2 - 10*w + 1]', '[571, 571, 3*w^3 - 8*w^2 - 17*w + 39]', '[601, 601, -w^3 + 2*w^2 + 6*w - 6]', '[601, 601, w^3 + 2*w^2 - 6*w - 6]', '[619, 619, 2*w^3 - 3*w^2 - 9*w + 8]', '[619, 619, 2*w^3 + 3*w^2 - 9*w - 8]', '[631, 631, 2*w^2 - 3*w - 11]', '[631, 631, 2*w^2 + 3*w - 11]', '[641, 641, 3*w^3 + w^2 - 14*w - 9]', '[641, 641, 3*w^3 - 2*w^2 - 15*w + 6]', '[661, 661, 6*w^3 - 9*w^2 - 32*w + 51]', '[661, 661, 3*w^3 - 2*w^2 - 15*w + 13]', '[691, 691, -3*w^3 - 2*w^2 + 15*w + 8]', '[691, 691, 3*w^3 - 2*w^2 - 15*w + 8]', '[701, 701, 2*w^3 - 11*w + 4]', '[701, 701, 3*w^3 + 4*w^2 - 13*w - 15]', '[701, 701, -3*w^3 + 4*w^2 + 13*w - 15]', '[701, 701, -2*w^3 + 11*w + 4]', '[709, 709, w^3 - 2*w^2 - 5*w + 15]', '[709, 709, -2*w^3 + 3*w^2 + 8*w - 6]', '[709, 709, 2*w^3 + 3*w^2 - 8*w - 6]', '[709, 709, -w^3 - 2*w^2 + 5*w + 15]', '[719, 719, -3*w^3 - 3*w^2 + 14*w + 16]', '[719, 719, 3*w^3 - 3*w^2 - 14*w + 16]', '[739, 739, -w^3 + 4*w - 6]', '[739, 739, w^3 - 4*w - 6]', '[751, 751, 2*w^3 + w^2 - 11*w - 2]', '[751, 751, 3*w^2 + 2*w - 17]', '[751, 751, -3*w^2 + 2*w + 17]', '[751, 751, -2*w^3 + w^2 + 11*w - 2]', '[809, 809, w^3 - 6*w^2 - 3*w + 25]', '[809, 809, w^3 + 3*w^2 - 3*w - 15]', '[809, 809, w^3 - 3*w^2 - 3*w + 15]', '[809, 809, -w^3 - 6*w^2 + 3*w + 25]', '[829, 829, -3*w^3 - 4*w^2 + 13*w + 17]', '[829, 829, 3*w^3 - 4*w^2 - 13*w + 17]', '[841, 29, 5*w^2 - 21]', '[859, 859, -4*w^2 - 2*w + 21]', '[859, 859, -4*w^2 + 2*w + 21]', '[881, 881, -w^3 - 5*w^2 + 6*w + 20]', '[881, 881, -6*w^3 + 8*w^2 + 33*w - 49]', '[881, 881, -3*w^3 + 6*w^2 + 17*w - 30]', '[881, 881, w^3 - 5*w^2 - 6*w + 20]', '[911, 911, -3*w^3 + 2*w^2 + 13*w - 13]', '[911, 911, 3*w^3 - 15*w - 7]', '[911, 911, 2*w^3 + 2*w^2 - 13*w - 8]', '[911, 911, -4*w^3 + 10*w^2 + 24*w - 55]', '[919, 919, w^3 - 5*w - 6]', '[919, 919, -w^3 + 5*w - 6]', '[941, 941, -2*w^3 + 7*w^2 + 10*w - 35]', '[941, 941, 2*w^3 + 7*w^2 - 10*w - 35]', '[961, 31, -2*w^2 + 15]', '[961, 31, 5*w^2 - 23]', '[991, 991, -w - 6]', '[991, 991, 2*w^2 + 3*w - 7]', '[991, 991, 2*w^2 - 3*w - 7]', '[991, 991, w - 6]']}
96. label: 4.4.7625.1
    {'degree': 4, 'discriminant': 7625, 'ideals': ['[1, 1, 1]', '[4, 2, 1/2*w^3 - 3/2*w^2 - 3/2*w + 4]', '[4, 2, 1/2*w^3 + 1/2*w^2 - 7/2*w - 5]', '[5, 5, -1/4*w^3 - 3/4*w^2 + 5/4*w + 3]', '[11, 11, -1/4*w^3 + 1/4*w^2 + 9/4*w]', '[11, 11, w - 1]', '[16, 2, 2]', '[16, 4, w]', '[16, 4, -1/4*w^3 + 1/4*w^2 + 9/4*w - 1]', '[20, 10, 1/4*w^3 - 1/4*w^2 - 1/4*w - 1]', '[20, 10, 1/2*w^3 - 1/2*w^2 - 7/2*w]', '[25, 5, -1/2*w^3 + 1/2*w^2 + 5/2*w - 1]', '[29, 29, 1/4*w^3 - 1/4*w^2 - 1/4*w + 2]', '[29, 29, 1/2*w^3 - 1/2*w^2 - 7/2*w + 3]', '[31, 31, -3/4*w^3 - 1/4*w^2 + 19/4*w + 4]', '[31, 31, -3/4*w^3 + 7/4*w^2 + 11/4*w - 5]', '[44, 22, -1/2*w^3 + 3/2*w^2 + 3/2*w - 6]', '[44, 22, 3/4*w^3 - 7/4*w^2 - 15/4*w + 6]', '[44, 22, 1/2*w^3 + 1/2*w^2 - 5/2*w - 4]', '[44, 22, 1/2*w^3 + 1/2*w^2 - 7/2*w - 3]', '[49, 7, -1/2*w^3 + 3/2*w^2 + 5/2*w - 5]', '[49, 7, 1/2*w^3 - 1/2*w^2 - 7/2*w - 1]', '[55, 55, w^2 - 1]', '[55, 55, 1/4*w^3 - 5/4*w^2 - 5/4*w + 9]', '[59, 59, -1/4*w^3 + 5/4*w^2 + 5/4*w - 3]', '[59, 59, w^2 - 7]', '[61, 61, -5/4*w^3 - 7/4*w^2 + 37/4*w + 15]', '[64, 4, w^3 - 3*w^2 - 3*w + 8]', '[64, 4, w^3 + w^2 - 7*w - 10]', '[64, 8, w^2 - 8]', '[64, 8, 1/2*w^3 + 1/2*w^2 - 3/2*w - 3]', '[71, 71, 3/4*w^3 + 9/4*w^2 - 11/4*w - 7]', '[71, 71, 1/4*w^3 - 1/4*w^2 - 13/4*w - 2]', '[79, 79, -1/4*w^3 + 5/4*w^2 + 1/4*w - 7]', '[79, 79, 1/4*w^3 + 3/4*w^2 - 9/4*w - 2]', '[80, 10, -1/2*w^3 - 3/2*w^2 + 5/2*w + 6]', '[80, 20, -3/4*w^3 - 1/4*w^2 + 15/4*w + 2]', '[80, 20, -w^3 + 2*w^2 + 5*w - 8]', '[81, 3, -3]', '[89, 89, -w^2 + 2*w + 1]', '[89, 89, 1/4*w^3 + 3/4*w^2 - 13/4*w - 7]', '[100, 10, w^3 - 8*w - 7]', '[100, 10, 1/2*w^3 - 3/2*w^2 + 1/2*w]', '[101, 101, -1/4*w^3 + 9/4*w^2 + 5/4*w - 12]', '[101, 101, -1/4*w^3 + 9/4*w^2 + 5/4*w - 8]', '[109, 109, 1/4*w^3 + 3/4*w^2 - 9/4*w - 1]', '[109, 109, -5/4*w^3 - 3/4*w^2 + 33/4*w + 7]', '[109, 109, -1/4*w^3 + 5/4*w^2 + 1/4*w - 8]', '[109, 109, 1/4*w^3 + 3/4*w^2 - 5/4*w - 9]', '[116, 58, 1/4*w^3 - 5/4*w^2 + 3/4*w]', '[116, 58, -1/2*w^3 - 1/2*w^2 + 9/2*w + 8]', '[116, 58, -3/4*w^3 + 3/4*w^2 + 11/4*w - 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w - 8]', '[9920, 620, 5/2*w^3 - 5/2*w^2 - 37/2*w + 14]', '[9920, 620, w^3 - 3*w^2 - 7*w + 2]', '[9920, 620, 2*w^2 + 2*w - 20]', '[9920, 1240, 3*w^3 - 8*w^2 - 12*w + 24]', '[9920, 1240, 5/2*w^3 + 5/2*w^2 - 31/2*w - 23]', '[9920, 1240, -1/4*w^3 + 9/4*w^2 - 15/4*w - 15]', '[9920, 1240, w^3 + w^2 - 10*w]', '[9929, 9929, -7/4*w^3 - 13/4*w^2 + 47/4*w + 26]', '[9929, 9929, -15/4*w^3 + 43/4*w^2 + 19/4*w - 17]', '[9929, 9929, -3*w^3 - 2*w^2 + 29*w + 37]', '[9929, 9929, -11/2*w^3 - 3/2*w^2 + 83/2*w + 39]', '[9941, 9941, -5/4*w^3 + 17/4*w^2 + 5/4*w - 2]', '[9941, 9941, 7/4*w^3 + 5/4*w^2 - 55/4*w - 23]', '[9949, 9949, -11/4*w^3 - 9/4*w^2 + 79/4*w + 19]', '[9949, 9949, -5/2*w^3 + 15/2*w^2 + 13/2*w - 25]', '[9955, 9955, 7/4*w^3 + 21/4*w^2 - 67/4*w - 39]', '[9955, 9955, -6*w^3 + 16*w^2 + 33*w - 79]', '[9955, 9955, 3/2*w^3 + 11/2*w^2 - 23/2*w - 23]', '[9955, 9955, -1/4*w^3 + 25/4*w^2 + 1/4*w - 20]', '[9980, 4990, 5/2*w^3 - 11/2*w^2 - 35/2*w + 28]', '[9980, 4990, -7/2*w^3 + 15/2*w^2 + 45/2*w - 46]', '[9980, 4990, -5/4*w^3 - 11/4*w^2 + 5/4*w - 1]', '[9980, 4990, -1/2*w^3 - 5/2*w^2 - 5/2*w + 7]', '[10000, 10, 10]', '[10000, 20, 5*w]', '[10000, 20, -5/4*w^3 + 5/4*w^2 + 45/4*w - 5]'], 'label': '4.4.7625.1', 'narrow_class_no': 2, 'primes': ['[4, 2, 1/2*w^3 - 3/2*w^2 - 3/2*w + 4]', '[4, 2, 1/2*w^3 + 1/2*w^2 - 7/2*w - 5]', '[5, 5, -1/4*w^3 - 3/4*w^2 + 5/4*w + 3]', '[11, 11, -1/4*w^3 + 1/4*w^2 + 9/4*w]', '[11, 11, w - 1]', '[29, 29, 1/4*w^3 - 1/4*w^2 - 1/4*w + 2]', '[29, 29, 1/2*w^3 - 1/2*w^2 - 7/2*w + 3]', '[31, 31, -3/4*w^3 - 1/4*w^2 + 19/4*w + 4]', '[31, 31, -3/4*w^3 + 7/4*w^2 + 11/4*w - 5]', '[49, 7, -1/2*w^3 + 3/2*w^2 + 5/2*w - 5]', '[49, 7, 1/2*w^3 - 1/2*w^2 - 7/2*w - 1]', '[59, 59, -1/4*w^3 + 5/4*w^2 + 5/4*w - 3]', '[59, 59, w^2 - 7]', '[61, 61, -5/4*w^3 - 7/4*w^2 + 37/4*w + 15]', '[71, 71, 3/4*w^3 + 9/4*w^2 - 11/4*w - 7]', '[71, 71, 1/4*w^3 - 1/4*w^2 - 13/4*w - 2]', '[79, 79, -1/4*w^3 + 5/4*w^2 + 1/4*w - 7]', '[79, 79, 1/4*w^3 + 3/4*w^2 - 9/4*w - 2]', '[81, 3, -3]', '[89, 89, -w^2 + 2*w + 1]', '[89, 89, 1/4*w^3 + 3/4*w^2 - 13/4*w - 7]', '[101, 101, -1/4*w^3 + 9/4*w^2 + 5/4*w - 12]', '[101, 101, -1/4*w^3 + 9/4*w^2 + 5/4*w - 8]', '[109, 109, 1/4*w^3 + 3/4*w^2 - 9/4*w - 1]', '[109, 109, -5/4*w^3 - 3/4*w^2 + 33/4*w + 7]', '[109, 109, -1/4*w^3 + 5/4*w^2 + 1/4*w - 8]', '[109, 109, 1/4*w^3 + 3/4*w^2 - 5/4*w - 9]', '[121, 11, -3/4*w^3 + 3/4*w^2 + 15/4*w - 2]', '[139, 139, 1/2*w^3 + 3/2*w^2 - 9/2*w - 7]', '[139, 139, -1/2*w^3 + 5/2*w^2 + 1/2*w - 11]', '[151, 151, 7/4*w^3 - 19/4*w^2 - 23/4*w + 14]', '[151, 151, -3/4*w^3 + 11/4*w^2 + 11/4*w - 10]', '[181, 181, -3/4*w^3 + 11/4*w^2 + 15/4*w - 12]', '[181, 181, 1/2*w^3 + 3/2*w^2 - 9/2*w - 9]', '[191, 191, 1/4*w^3 + 7/4*w^2 - 13/4*w - 8]', '[191, 191, -1/4*w^3 + 9/4*w^2 - 3/4*w - 10]', '[199, 199, -3/4*w^3 + 11/4*w^2 + 15/4*w - 10]', '[199, 199, 1/4*w^3 + 3/4*w^2 - 5/4*w - 7]', '[199, 199, -1/2*w^3 + 3/2*w^2 + 5/2*w - 3]', '[199, 199, 3/4*w^3 - 3/4*w^2 - 23/4*w - 1]', '[211, 211, -5/4*w^3 + 17/4*w^2 + 13/4*w - 13]', '[211, 211, -1/4*w^3 + 5/4*w^2 - 7/4*w + 2]', '[229, 229, -1/4*w^3 + 5/4*w^2 + 9/4*w - 9]', '[229, 229, 1/4*w^3 - 9/4*w^2 + 11/4*w + 1]', '[229, 229, 3/4*w^3 + 1/4*w^2 - 15/4*w - 5]', '[229, 229, 1/2*w^3 + 5/2*w^2 - 1/2*w - 7]', '[239, 239, 5/4*w^3 - 1/4*w^2 - 37/4*w - 6]', '[239, 239, -3/4*w^3 + 7/4*w^2 + 11/4*w - 8]', '[239, 239, w^2 - 2*w - 7]', '[239, 239, -5/2*w^3 - 5/2*w^2 + 37/2*w + 23]', '[251, 251, -1/4*w^3 + 9/4*w^2 + 5/4*w - 11]', '[251, 251, -1/4*w^3 + 9/4*w^2 + 5/4*w - 9]', '[269, 269, -7/4*w^3 - 1/4*w^2 + 59/4*w + 14]', '[269, 269, -1/2*w^3 - 3/2*w^2 + 7/2*w + 5]', '[269, 269, 3/4*w^3 - 11/4*w^2 + 9/4*w]', '[269, 269, -5/4*w^3 - 7/4*w^2 + 25/4*w + 7]', '[271, 271, 2*w^2 - w - 7]', '[271, 271, -1/4*w^3 + 9/4*w^2 + 1/4*w - 12]', '[271, 271, -1/2*w^3 + 5/2*w^2 + 5/2*w - 11]', '[271, 271, 1/4*w^3 + 7/4*w^2 - 13/4*w - 9]', '[281, 281, w^3 - 5*w - 3]', '[281, 281, 5/4*w^3 + 3/4*w^2 - 25/4*w - 6]', '[289, 17, 1/4*w^3 + 7/4*w^2 - 9/4*w - 14]', '[289, 17, -5/4*w^3 - 7/4*w^2 + 45/4*w + 17]', '[311, 311, 1/4*w^3 - 1/4*w^2 - 9/4*w - 4]', '[311, 311, w - 5]', '[331, 331, 2*w^2 - w - 11]', '[331, 331, -1/4*w^3 + 9/4*w^2 + 1/4*w - 8]', '[349, 349, 1/4*w^3 - 9/4*w^2 + 19/4*w - 2]', '[349, 349, -5/4*w^3 - 3/4*w^2 + 49/4*w + 16]', '[359, 359, -7/4*w^3 - 5/4*w^2 + 63/4*w + 20]', '[359, 359, 3/4*w^3 + 5/4*w^2 - 19/4*w - 10]', '[361, 19, -1/4*w^3 + 1/4*w^2 + 5/4*w - 5]', '[361, 19, -w^3 + w^2 + 5*w - 3]', '[379, 379, -1/4*w^3 - 3/4*w^2 + 17/4*w - 1]', '[379, 379, -2*w^3 - 2*w^2 + 17*w + 23]', '[379, 379, -1/4*w^3 + 9/4*w^2 + 5/4*w - 16]', '[379, 379, 1/4*w^3 + 3/4*w^2 - 17/4*w - 8]', '[389, 389, -3/2*w^3 - 5/2*w^2 + 13/2*w + 11]', '[389, 389, -5/4*w^3 - 7/4*w^2 + 45/4*w + 19]', '[401, 401, 5/4*w^3 - 5/4*w^2 - 29/4*w + 2]', '[401, 401, w^3 - w^2 - 4*w + 1]', '[409, 409, -1/4*w^3 + 5/4*w^2 - 3/4*w - 7]', '[409, 409, -3/4*w^3 + 7/4*w^2 + 11/4*w - 9]', '[419, 419, 1/4*w^3 + 3/4*w^2 - 1/4*w - 6]', '[419, 419, 1/2*w^3 + 1/2*w^2 - 5/2*w - 7]', '[421, 421, 3/4*w^3 - 11/4*w^2 + 1/4*w + 2]', '[421, 421, 3/2*w^3 + 1/2*w^2 - 19/2*w - 7]', '[431, 431, 1/4*w^3 - 5/4*w^2 + 3/4*w - 1]', '[431, 431, -5/4*w^3 - 3/4*w^2 + 21/4*w + 4]', '[431, 431, -1/2*w^3 - 1/2*w^2 + 9/2*w + 9]', '[431, 431, 1/2*w^3 - 1/2*w^2 - 9/2*w - 5]', '[461, 461, 1/4*w^3 + 3/4*w^2 - 17/4*w - 4]', '[461, 461, -3/2*w^3 - 1/2*w^2 + 25/2*w + 15]', '[461, 461, -7/4*w^3 - 9/4*w^2 + 55/4*w + 20]', '[461, 461, 1/4*w^3 + 3/4*w^2 - 17/4*w - 3]', '[499, 499, -1/4*w^3 + 5/4*w^2 - 15/4*w + 5]', '[499, 499, -1/4*w^3 - 3/4*w^2 + 17/4*w - 2]', '[509, 509, 5/4*w^3 + 3/4*w^2 - 33/4*w - 6]', '[509, 509, 1/4*w^3 - 9/4*w^2 + 11/4*w + 3]', '[521, 521, -5/4*w^3 + 1/4*w^2 + 25/4*w - 1]', '[521, 521, 5/4*w^3 - 9/4*w^2 - 21/4*w + 5]', '[529, 23, 5/4*w^3 - 5/4*w^2 - 33/4*w + 6]', '[529, 23, 1/4*w^3 + 7/4*w^2 - 13/4*w - 5]', '[541, 541, -5/4*w^3 + 17/4*w^2 + 5/4*w - 6]', '[541, 541, w^2 - 2*w - 11]', '[569, 569, -3/4*w^3 + 11/4*w^2 + 15/4*w - 9]', '[569, 569, 1/2*w^3 - 3/2*w^2 + 3/2*w - 3]', '[569, 569, -w^3 + w^2 + 7*w + 1]', '[569, 569, 3/4*w^3 - 15/4*w^2 + 9/4*w + 5]', '[599, 599, 5/4*w^3 - 1/4*w^2 - 37/4*w - 1]', '[599, 599, -3/4*w^3 + 7/4*w^2 + 3/4*w - 6]', '[601, 601, 1/4*w^3 + 11/4*w^2 - 17/4*w - 11]', '[601, 601, 5/4*w^3 - 5/4*w^2 - 17/4*w + 1]', '[601, 601, 1/4*w^3 - 13/4*w^2 + 7/4*w + 16]', '[601, 601, -7/4*w^3 + 7/4*w^2 + 43/4*w - 3]', '[631, 631, -1/4*w^3 + 1/4*w^2 + 1/4*w - 6]', '[631, 631, -1/2*w^3 + 1/2*w^2 + 7/2*w - 7]', '[641, 641, -1/4*w^3 - 3/4*w^2 + 9/4*w - 2]', '[641, 641, -1/4*w^3 + 5/4*w^2 + 1/4*w - 11]', '[661, 661, -3/4*w^3 - 9/4*w^2 + 27/4*w + 16]', '[661, 661, 1/2*w^3 + 3/2*w^2 - 9/2*w - 15]', '[701, 701, 3/2*w^3 - 3/2*w^2 - 17/2*w + 1]', '[701, 701, -5/4*w^3 + 5/4*w^2 + 21/4*w]', '[709, 709, -3/2*w^3 + 3/2*w^2 + 11/2*w - 7]', '[709, 709, -2*w^3 + 2*w^2 + 12*w - 9]', '[739, 739, -1/4*w^3 + 5/4*w^2 - 3/4*w - 9]', '[739, 739, -1/2*w^3 - 1/2*w^2 + 9/2*w - 1]', '[761, 761, -7/2*w^3 - 7/2*w^2 + 55/2*w + 37]', '[761, 761, 1/2*w^3 + 1/2*w^2 - 5/2*w - 11]', '[769, 769, -1/4*w^3 + 9/4*w^2 - 3/4*w - 14]', '[769, 769, 1/4*w^3 + 7/4*w^2 - 13/4*w - 4]', '[809, 809, 1/4*w^3 + 3/4*w^2 - 21/4*w - 9]', '[809, 809, 1/2*w^3 + 1/2*w^2 - 13/2*w + 3]', '[809, 809, -5/4*w^3 + 9/4*w^2 + 29/4*w - 6]', '[809, 809, 3/4*w^3 + 1/4*w^2 - 11/4*w - 5]', '[811, 811, -1/2*w^3 + 1/2*w^2 + 11/2*w - 5]', '[811, 811, 1/4*w^3 - 1/4*w^2 - 17/4*w - 2]', '[821, 821, -1/4*w^3 - 7/4*w^2 - 7/4*w + 4]', '[821, 821, 7/4*w^3 + 5/4*w^2 - 63/4*w - 22]', '[841, 29, 5/4*w^3 - 5/4*w^2 - 25/4*w + 1]', '[859, 859, -3/4*w^3 - 13/4*w^2 + 3/4*w + 8]', '[859, 859, -1/2*w^3 + 5/2*w^2 + 1/2*w - 13]', '[859, 859, 5/4*w^3 + 11/4*w^2 - 17/4*w - 11]', '[859, 859, 1/2*w^3 + 3/2*w^2 - 9/2*w - 5]', '[881, 881, 5/4*w^3 - 5/4*w^2 - 21/4*w + 4]', '[881, 881, 1/4*w^3 + 3/4*w^2 - 9/4*w - 10]', '[881, 881, -5/4*w^3 + 1/4*w^2 + 45/4*w + 8]', '[881, 881, -1/4*w^3 + 9/4*w^2 + 5/4*w - 18]', '[941, 941, 9/4*w^3 - 33/4*w^2 - 13/4*w + 20]', '[941, 941, -11/4*w^3 - 13/4*w^2 + 87/4*w + 32]', '[961, 31, -1/2*w^3 + 1/2*w^2 + 5/2*w - 7]', '[991, 991, -w^3 + w^2 + 8*w - 3]', '[991, 991, -7/4*w^3 + 15/4*w^2 + 27/4*w - 9]', '[991, 991, -11/4*w^3 + 35/4*w^2 + 31/4*w - 26]', '[991, 991, -1/4*w^3 + 1/4*w^2 - 7/4*w]']}
97. label: 4.4.8000.1
    {'degree': 4, 'discriminant': 8000, 'ideals': ['[1, 1, 1]', '[4, 2, 1/2*w^3 - 3*w + 2]', '[5, 5, w^2 - w - 5]', '[11, 11, -1/2*w^3 - 1/2*w^2 + 3*w + 3]', '[11, 11, -1/2*w^2 + w + 2]', '[11, 11, -1/2*w^2 - w + 2]', '[11, 11, 1/2*w^3 - 1/2*w^2 - 3*w + 3]', '[16, 2, 2]', '[20, 10, w]', '[25, 5, -w^2 + 5]', '[29, 29, -1/2*w^2 - w + 4]', '[29, 29, -1/2*w^3 + 1/2*w^2 + 3*w - 1]', '[29, 29, -1/2*w^3 - 1/2*w^2 + 3*w + 1]', '[29, 29, -1/2*w^2 + w + 4]', '[41, 41, w^3 - 1/2*w^2 - 6*w + 6]', '[41, 41, -1/2*w^3 + 5/2*w^2 + 5*w - 14]', '[41, 41, 1/2*w^3 - 1/2*w^2 - 3*w + 6]', '[41, 41, -3/2*w^2 - 2*w + 6]', '[44, 22, -w^2 + w + 6]', '[44, 22, -1/2*w^3 - w^2 + 3*w + 4]', '[44, 22, 1/2*w^3 - w^2 - 3*w + 4]', '[44, 22, w^2 + w - 6]', '[55, 55, -1/2*w^2 + w + 5]', '[55, 55, 1/2*w^3 + 1/2*w^2 - 3*w]', '[55, 55, -1/2*w^3 + 1/2*w^2 + 3*w]', '[55, 55, 1/2*w^2 + w - 5]', '[64, 4, w^3 - 6*w + 4]', '[79, 79, -w^3 - w^2 + 4*w - 1]', '[79, 79, -3/2*w^2 - w + 9]', '[79, 79, -w^3 + 7/2*w^2 + 9*w - 21]', '[79, 79, w^3 - 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32*w - 30]', '[10000, 10, 10]'], 'label': '4.4.8000.1', 'narrow_class_no': 2, 'primes': ['[4, 2, 1/2*w^3 - 3*w + 2]', '[5, 5, w^2 - w - 5]', '[11, 11, -1/2*w^3 - 1/2*w^2 + 3*w + 3]', '[11, 11, -1/2*w^2 + w + 2]', '[11, 11, -1/2*w^2 - w + 2]', '[11, 11, 1/2*w^3 - 1/2*w^2 - 3*w + 3]', '[29, 29, -1/2*w^2 - w + 4]', '[29, 29, -1/2*w^3 + 1/2*w^2 + 3*w - 1]', '[29, 29, -1/2*w^3 - 1/2*w^2 + 3*w + 1]', '[29, 29, -1/2*w^2 + w + 4]', '[41, 41, w^3 - 1/2*w^2 - 6*w + 6]', '[41, 41, -1/2*w^3 + 5/2*w^2 + 5*w - 14]', '[41, 41, 1/2*w^3 - 1/2*w^2 - 3*w + 6]', '[41, 41, -3/2*w^2 - 2*w + 6]', '[79, 79, -w^3 - w^2 + 4*w - 1]', '[79, 79, -3/2*w^2 - w + 9]', '[79, 79, -w^3 + 7/2*w^2 + 9*w - 21]', '[79, 79, w^3 - w^2 - 6*w + 9]', '[81, 3, -3]', '[109, 109, w^2 - w - 7]', '[109, 109, -1/2*w^3 + 1/2*w^2 + 4*w - 1]', '[109, 109, 1/2*w^3 + 1/2*w^2 - 4*w - 1]', '[109, 109, w^2 + w - 7]', '[131, 131, -1/2*w^3 - 1/2*w^2 + 4*w + 7]', '[131, 131, -1/2*w^3 + 7/2*w^2 + 6*w - 18]', '[131, 131, 1/2*w^3 + 1/2*w^2 - 2*w + 2]', '[131, 131, 1/2*w^3 - 1/2*w^2 - 4*w + 7]', '[149, 149, w^3 + w^2 - 5*w - 7]', '[149, 149, 1/2*w^3 - w^2 - 5*w + 3]', '[149, 149, -1/2*w^3 - w^2 + 5*w + 3]', '[149, 149, -w^3 + w^2 + 5*w - 7]', '[199, 199, -w^3 - w^2 + 6*w + 3]', '[199, 199, -w^2 + 2*w + 7]', '[199, 199, -w^2 - 2*w + 7]', '[199, 199, w^3 - w^2 - 6*w + 3]', '[211, 211, 1/2*w^3 - 2*w^2 - 3*w + 11]', '[211, 211, -1/2*w^3 - 1/2*w^2 + 3*w + 7]', '[211, 211, 1/2*w^3 - 1/2*w^2 - 3*w + 7]', '[211, 211, 1/2*w^3 + 2*w^2 - 3*w - 11]', '[229, 229, -1/2*w^3 - 1/2*w^2 + 4*w - 2]', '[229, 229, 1/2*w^3 + 1/2*w^2 - 2*w - 7]', '[229, 229, 1/2*w^3 - 1/2*w^2 - 2*w + 7]', '[229, 229, 1/2*w^3 - 1/2*w^2 - 4*w - 2]', '[239, 239, 1/2*w^2 + 2*w - 6]', '[239, 239, -w^3 - 1/2*w^2 + 6*w - 1]', '[239, 239, w^3 - 1/2*w^2 - 6*w - 1]', '[239, 239, 1/2*w^2 - 2*w - 6]', '[241, 241, -w^3 + 1/2*w^2 + 6*w - 2]', '[241, 241, -w^3 - 1/2*w^2 + 6*w + 4]', '[241, 241, w^3 - 1/2*w^2 - 6*w + 4]', '[241, 241, w^3 + 1/2*w^2 - 6*w - 2]', '[251, 251, 1/2*w^3 + w^2 - 5*w - 7]', '[251, 251, w^3 + w^2 - 5*w - 3]', '[251, 251, -w^3 + w^2 + 5*w - 3]', '[251, 251, -1/2*w^3 + w^2 + 5*w - 7]', '[269, 269, 1/2*w^3 + 1/2*w^2 - 2*w - 6]', '[269, 269, 1/2*w^3 - 1/2*w^2 - 4*w - 1]', '[269, 269, -1/2*w^3 - 1/2*w^2 + 4*w - 1]', '[269, 269, -1/2*w^3 + 1/2*w^2 + 2*w - 6]', '[281, 281, w^3 - 6*w + 1]', '[281, 281, w^3 - 1/2*w^2 - 6*w + 3]', '[281, 281, -w^3 - 1/2*w^2 + 6*w + 3]', '[281, 281, -w^3 + 6*w + 1]', '[331, 331, 3/2*w^3 + w^2 - 7*w + 1]', '[331, 331, -1/2*w^3 + 3*w^2 + 5*w - 17]', '[331, 331, -3/2*w^3 + w^2 + 9*w - 13]', '[331, 331, 1/2*w^3 + 3*w^2 + w - 11]', '[349, 349, 1/2*w^3 + 3/2*w^2 - 2*w - 9]', '[349, 349, -1/2*w^3 + 3/2*w^2 + 4*w - 6]', '[349, 349, 1/2*w^3 + 3/2*w^2 - 4*w - 6]', '[349, 349, -1/2*w^3 + 3/2*w^2 + 2*w - 9]', '[359, 359, -w^3 + 7/2*w^2 + 9*w - 19]', '[359, 359, w^3 - 2*w^2 - 8*w + 11]', '[359, 359, w^3 - 1/2*w^2 - 6*w - 2]', '[359, 359, -5/2*w^2 - 3*w + 9]', '[361, 19, 2*w^2 - 11]', '[361, 19, -1/2*w^2 + 7]', '[389, 389, -1/2*w^3 + 5/2*w^2 + 6*w - 11]', '[389, 389, 5/2*w^3 - 3/2*w^2 - 16*w + 17]', '[389, 389, 3/2*w^3 - 1/2*w^2 - 10*w + 7]', '[389, 389, -3/2*w^3 + 7/2*w^2 + 12*w - 21]', '[401, 401, -w^3 + 1/2*w^2 + 5*w - 1]', '[401, 401, 1/2*w^3 + 1/2*w^2 - 5*w - 4]', '[401, 401, -1/2*w^3 + 1/2*w^2 + 5*w - 4]', '[401, 401, w^3 + 1/2*w^2 - 5*w - 1]', '[439, 439, -2*w^3 + 3/2*w^2 + 12*w - 16]', '[439, 439, -w^3 + 1/2*w^2 + 5*w - 7]', '[439, 439, w^3 + 1/2*w^2 - 5*w - 7]', '[439, 439, w^3 + 1/2*w^2 - 4*w + 4]', '[479, 479, -w^3 + 9/2*w^2 + 10*w - 26]', '[479, 479, -3/2*w^3 + 3/2*w^2 + 9*w - 14]', '[479, 479, -3/2*w^3 - 1/2*w^2 + 7*w - 6]', '[479, 479, -5/2*w^2 - 2*w + 14]', '[491, 491, 1/2*w^3 + 5/2*w^2 - 4*w - 14]', '[491, 491, 1/2*w^3 + 5/2*w^2 - 2*w - 11]', '[491, 491, -1/2*w^3 + 5/2*w^2 + 2*w - 11]', '[491, 491, -1/2*w^3 + 5/2*w^2 + 4*w - 14]', '[509, 509, 1/2*w^3 - 1/2*w^2 - 5*w - 3]', '[509, 509, -w^3 + 1/2*w^2 + 5*w - 8]', '[509, 509, w^3 + 1/2*w^2 - 5*w - 8]', '[509, 509, -7/2*w^2 - 3*w + 18]', '[521, 521, -9/2*w^2 - 4*w + 21]', '[521, 521, -5/2*w^3 + 2*w^2 + 16*w - 19]', '[521, 521, -1/2*w^3 + 2*w^2 + 6*w - 9]', '[521, 521, w^3 - 7/2*w^2 - 8*w + 22]', '[571, 571, 1/2*w^3 - 1/2*w^2 - 4*w - 4]', '[571, 571, 3/2*w^3 - 3/2*w^2 - 9*w + 7]', '[571, 571, -3/2*w^3 - 3/2*w^2 + 9*w + 7]', '[571, 571, -1/2*w^3 - 1/2*w^2 + 4*w - 4]', '[599, 599, 1/2*w^3 + w^2 - 2*w - 9]', '[599, 599, -1/2*w^3 + w^2 + 4*w - 1]', '[599, 599, 1/2*w^3 + w^2 - 4*w - 1]', '[599, 599, -1/2*w^3 + w^2 + 2*w - 9]', '[601, 601, 5/2*w^2 + w - 11]', '[601, 601, 1/2*w^3 - 5/2*w^2 - 3*w + 14]', '[601, 601, -1/2*w^3 - 5/2*w^2 + 3*w + 14]', '[601, 601, 5/2*w^2 - w - 11]', '[641, 641, 5/2*w^2 + w - 13]', '[641, 641, -1/2*w^3 + 5/2*w^2 + 3*w - 12]', '[641, 641, 1/2*w^3 + 5/2*w^2 - 3*w - 12]', '[641, 641, 5/2*w^2 - w - 13]', '[691, 691, 1/2*w^3 + 5/2*w^2 - 3*w - 13]', '[691, 691, -1/2*w^3 - w^2 + 3*w + 11]', '[691, 691, 1/2*w^3 - w^2 - 3*w + 11]', '[691, 691, -1/2*w^3 + 5/2*w^2 + 3*w - 13]', '[709, 709, 3/2*w^3 - 3/2*w^2 - 8*w + 2]', '[709, 709, -1/2*w^3 + 3/2*w^2 + 6*w - 13]', '[709, 709, 1/2*w^3 + 3/2*w^2 - 6*w - 13]', '[709, 709, -3/2*w^3 - 3/2*w^2 + 8*w + 2]', '[719, 719, w^2 + 2*w - 9]', '[719, 719, w^3 + w^2 - 6*w - 1]', '[719, 719, -w^3 + w^2 + 6*w - 1]', '[719, 719, w^2 - 2*w - 9]', '[761, 761, 1/2*w^3 + w^2 - 6*w - 9]', '[761, 761, 3/2*w^3 + w^2 - 8*w - 1]', '[761, 761, 3/2*w^3 - 5*w^2 - 14*w + 29]', '[761, 761, -1/2*w^3 + w^2 + 6*w - 9]', '[811, 811, 3/2*w^3 - 1/2*w^2 - 8*w + 12]', '[811, 811, w^3 - 2*w^2 - 9*w + 11]', '[811, 811, -w^3 - 2*w^2 + 9*w + 11]', '[811, 811, -3/2*w^3 + 9/2*w^2 + 12*w - 28]', '[829, 829, w^3 + w^2 - 5*w - 9]', '[829, 829, 1/2*w^3 - w^2 - 5*w + 1]', '[829, 829, -1/2*w^3 - w^2 + 5*w + 1]', '[829, 829, -w^3 + w^2 + 5*w - 9]', '[839, 839, w^3 - 5/2*w^2 - 8*w + 13]', '[839, 839, 2*w^3 - 1/2*w^2 - 13*w - 1]', '[839, 839, -2*w^3 - 1/2*w^2 + 13*w - 1]', '[839, 839, w^3 + 5/2*w^2 - 8*w - 13]', '[881, 881, -w^3 + 9/2*w^2 + 9*w - 27]', '[881, 881, -2*w^3 + 1/2*w^2 + 12*w - 9]', '[881, 881, w^3 - 7/2*w^2 - 10*w + 19]', '[881, 881, 2*w^3 - 5/2*w^2 - 13*w + 23]', '[919, 919, 1/2*w^3 + 2*w^2 - 4*w - 7]', '[919, 919, 1/2*w^3 + 2*w^2 - 2*w - 13]', '[919, 919, -1/2*w^3 + 2*w^2 + 2*w - 13]', '[919, 919, -1/2*w^3 + 2*w^2 + 4*w - 7]', '[961, 31, -w^2 + 11]', '[961, 31, 5/2*w^2 - 13]', '[971, 971, 1/2*w^3 + 7/2*w^2 - 5*w - 17]', '[971, 971, 2*w^3 - 13*w - 3]', '[971, 971, -2*w^3 + 13*w - 3]', '[971, 971, -1/2*w^3 + 7/2*w^2 + 5*w - 17]']}
98. label: 4.4.8069.1
    {'degree': 4, 'discriminant': 8069, 'ideals': ['[1, 1, 1]', '[5, 5, w^3 - 4*w]', '[7, 7, w + 1]', '[7, 7, -w^3 + 4*w - 1]', '[13, 13, -w^2 + 3]', '[16, 2, 2]', '[17, 17, w^3 + w^2 - 4*w - 2]', '[17, 17, -w^3 + 5*w - 2]', '[19, 19, -w^2 - w + 4]', '[19, 19, -w^2 - w + 1]', '[25, 25, -w^3 - w^2 + 3*w + 2]', '[29, 29, 2*w^3 - w^2 - 9*w + 5]', '[35, 35, 2*w - 1]', '[35, 35, -w^3 + 5*w - 3]', '[41, 41, -w^3 + w^2 + 5*w - 3]', '[43, 43, w^3 - w^2 - 4*w + 2]', '[43, 43, w^3 - 6*w]', '[47, 47, -w^3 - w^2 + 5*w]', '[49, 7, w^3 - 6*w + 2]', '[49, 7, w^2 + 2*w - 2]', '[49, 49, -w^2 - 2*w + 3]', '[49, 49, w^3 - 3*w - 2]', '[59, 59, 2*w^3 - 8*w + 3]', '[65, 65, w^3 - 6*w + 1]', '[67, 67, w^2 - w - 4]', '[79, 79, w^3 - w^2 - 4*w + 1]', '[80, 10, 2*w^3 - 8*w]', '[81, 3, -3]', '[85, 85, w^3 + w^2 - 6*w - 3]', '[85, 85, w^3 - w^2 - 6*w + 5]', '[91, 91, -w^3 + w^2 + 6*w - 4]', '[91, 91, -w^3 - w^2 + 3*w + 3]', '[95, 95, w^3 - w^2 - 5*w + 2]', '[95, 95, -2*w^3 + 9*w - 3]', '[97, 97, w^3 + w^2 - 5*w + 1]', '[107, 107, -2*w^3 + 3*w^2 + 10*w - 12]', '[109, 109, 2*w^3 - w^2 - 9*w + 3]', '[112, 14, 2*w + 2]', '[112, 14, -2*w^3 + 8*w - 2]', '[119, 119, -w^2 + w + 5]', '[119, 119, -2*w^3 + 10*w - 3]', '[119, 119, -2*w^3 + 8*w - 1]', '[119, 119, -w^3 + 4*w + 3]', '[125, 5, -3*w^3 - w^2 + 12*w + 1]', '[125, 125, -w^3 + 2*w^2 + 5*w - 6]', '[127, 127, -2*w^3 + w^2 + 10*w - 8]', '[133, 133, -w^3 - w^2 + 6*w - 1]', '[133, 133, 2*w^2 - 2*w - 3]', '[133, 133, -w^3 - 2*w^2 + 3*w + 4]', '[133, 133, -w + 4]', '[137, 137, -w^3 + w^2 + 3*w - 5]', '[139, 139, w^3 - w^2 - 5*w + 1]', '[145, 145, 2*w^3 + w^2 - 9*w - 6]', '[149, 149, 2*w^2 - w - 6]', '[149, 149, 2*w^3 + w^2 - 9*w]', '[163, 163, w^3 - 5*w - 3]', '[163, 163, 2*w^3 - 7*w]', '[169, 169, w^3 - w^2 - 5*w + 8]', '[173, 173, -2*w^3 + 11*w - 3]', '[173, 173, -w^3 + w^2 + 4*w - 8]', '[175, 175, w^2 - 2*w - 3]', '[175, 175, 2*w^3 - w^2 - 8*w + 4]', '[179, 179, 2*w^3 - w^2 - 8*w + 5]', '[181, 181, 2*w^3 - w^2 - 8*w]', '[181, 181, 2*w^3 - 9*w - 3]', '[191, 191, 2*w^2 - 5]', '[191, 191, -2*w^2 - w + 10]', '[193, 193, w^3 + w^2 - 3*w - 4]', '[193, 193, -w^3 + 2*w^2 + 3*w - 3]', '[197, 197, -2*w^3 + 9*w - 4]', '[197, 197, w^2 - 7]', '[199, 199, 3*w^3 - 13*w + 1]', '[199, 199, w^3 + 2*w^2 - 5*w - 7]', '[203, 203, -3*w^3 + 14*w - 3]', '[203, 203, -2*w^2 + 11]', '[205, 205, 2*w^3 + w^2 - 8*w - 4]', '[208, 26, -2*w^2 + 6]', '[215, 215, -4*w^3 - 2*w^2 + 19*w + 4]', '[215, 215, -2*w^3 + 7*w + 3]', '[221, 221, -w - 4]', '[221, 221, -2*w^3 + 2*w^2 + 9*w - 7]', '[227, 227, -3*w^3 + w^2 + 13*w - 4]', '[227, 227, -w^3 + 2*w^2 + 7*w - 6]', '[235, 235, w^3 + w^2 - 8*w - 2]', '[241, 241, -2*w^3 + 7*w - 1]', '[245, 35, 2*w^3 + 2*w^2 - 8*w - 3]', '[245, 35, w^3 - w^2 - 3*w + 6]', '[245, 245, -w^3 - 2*w^2 + 4*w + 3]', '[245, 245, -2*w^3 + 7*w - 2]', '[247, 247, 2*w^2 + w - 2]', '[247, 247, 2*w^3 + w^2 - 8*w + 2]', '[256, 4, 4]', '[257, 257, -2*w^3 + w^2 + 7*w - 5]', '[257, 257, 2*w^3 - w^2 - 7*w + 2]', '[263, 263, -w^3 + 7*w - 3]', '[269, 269, -2*w^3 + 2*w^2 + 11*w - 8]', '[271, 271, w^2 + 3*w - 2]', '[271, 271, w^2 + 2*w - 7]', '[272, 34, 2*w^3 + 2*w^2 - 8*w - 4]', '[272, 34, -2*w^3 + 10*w - 4]', '[277, 277, -2*w^3 + 11*w - 2]', '[281, 281, 2*w^3 - 11*w + 1]', '[283, 283, 2*w^3 - 9*w + 5]', '[283, 283, -2*w^3 + w^2 + 11*w - 7]', '[287, 287, -w^3 - 2*w^2 + 3*w + 7]', '[287, 287, -w^3 + w^2 + 7*w - 2]', '[289, 17, 2*w^3 - w^2 - 10*w + 2]', '[289, 17, -w^3 + 2*w^2 + 4*w - 4]', '[289, 289, 2*w^3 + w^2 - 8*w - 5]', '[289, 289, -2*w^3 - w^2 + 8*w - 3]', '[293, 293, -2*w^3 - w^2 + 7*w + 3]', '[295, 295, -w^3 + 6*w + 4]', '[301, 301, 2*w^3 - w^2 - 11*w - 1]', '[301, 301, w^3 + w^2 - 3*w - 5]', '[301, 301, 3*w^3 + 2*w^2 - 13*w - 4]', '[301, 301, w^3 - 7*w + 1]', '[304, 38, -2*w^2 - 2*w + 8]', '[304, 38, -2*w^2 - 2*w + 2]', '[307, 307, -3*w^3 + 2*w^2 + 13*w - 9]', '[311, 311, -w^3 + w^2 + 3*w - 7]', '[313, 313, -w^3 + 2*w^2 + 3*w - 2]', '[313, 313, w^2 - w - 8]', '[317, 317, -2*w^3 - w^2 + 9*w - 1]', '[323, 323, w^3 - 7*w + 2]', '[323, 323, -2*w^3 + w^2 + 6*w - 1]', '[323, 323, w^3 + 2*w^2 - 4*w - 4]', '[323, 323, w^2 + 2]', '[325, 325, w^3 - 2*w + 4]', '[329, 329, 3*w + 2]', '[329, 329, -3*w^3 - w^2 + 10*w + 1]', '[331, 331, w^3 + 2*w^2 - 5*w - 3]', '[335, 335, -3*w^3 - w^2 + 15*w]', '[337, 337, w^3 + 2*w^2 - 6*w - 4]', '[337, 337, w^3 - 2*w^2 - 6*w + 5]', '[343, 7, -2*w^3 - 3*w^2 + 6*w + 5]', '[343, 7, w^3 + 3*w^2 - 2]', '[343, 49, 2*w^3 - w^2 - 9*w + 1]', '[343, 49, w^3 + 2*w^2 - 5*w - 6]', '[343, 343, w^3 + w^2 - 7*w - 3]', '[343, 343, 3*w^3 - w^2 - 13*w + 5]', '[347, 347, 2*w^3 + 2*w^2 - 9*w - 3]', '[347, 347, -2*w^3 + w^2 + 7*w - 4]', '[349, 349, w^2 - 2*w - 4]', '[353, 353, -w^3 + 2*w^2 + 2*w - 6]', '[359, 359, -w^3 + w^2 + 7*w - 6]', '[359, 359, -w^2 - w - 2]', '[361, 19, 2*w^3 - w^2 - 11*w]', '[361, 19, 2*w^2 - w - 9]', '[361, 361, -w^3 - w^2 + 3*w + 6]', '[361, 361, -3*w^3 - w^2 + 14*w]', '[367, 367, -2*w^3 + 2*w^2 + 8*w - 5]', '[373, 373, w^3 + w^2 - 2*w - 4]', '[377, 377, -4*w^3 + 3*w^2 + 20*w - 16]', '[379, 379, 2*w^3 - w^2 - 11*w + 4]', '[389, 389, 3*w^2 + w - 11]', '[395, 395, -3*w^3 + 11*w + 3]', '[397, 397, 3*w^3 - 13*w + 5]', '[400, 50, -2*w^3 - 2*w^2 + 6*w + 4]', '[401, 401, w - 5]', '[405, 15, -3*w^3 + 12*w]', '[409, 409, 3*w^3 - 12*w + 4]', '[409, 409, 3*w^3 + 2*w^2 - 14*w - 4]', '[413, 413, 4*w^3 + 2*w^2 - 15*w + 1]', '[413, 413, -w^3 + 2*w - 7]', '[421, 421, 2*w^3 - w^2 - 10*w + 1]', '[421, 421, w^3 + 2*w^2 - 5*w - 4]', '[425, 425, -w^3 - 2*w^2 + 5*w + 5]', '[425, 425, -w^3 + w^2 + 7*w - 3]', '[439, 439, -2*w^3 + 10*w - 5]', '[443, 443, -2*w^3 + 12*w - 5]', '[443, 443, -4*w^3 + w^2 + 18*w - 9]', '[443, 443, -2*w^3 + w^2 + 7*w - 9]', '[443, 443, 3*w^3 + 2*w^2 - 14*w - 5]', '[449, 449, w^3 + 2*w^2 - 2*w - 6]', '[449, 449, -2*w^3 + w^2 + 11*w - 5]', '[455, 455, 2*w^3 + 2*w^2 - 9*w - 5]', '[455, 455, 2*w^3 - w^2 - 10*w]', '[461, 461, 2*w^3 + 2*w^2 - 9*w - 4]', '[464, 58, 4*w^3 - 2*w^2 - 18*w + 10]', '[467, 467, -w^3 + w^2 + 7*w - 5]', '[469, 469, 3*w^3 - 14*w + 4]', '[469, 469, w^3 - 5*w - 4]', '[475, 475, -w^3 + 2*w^2 + 4*w - 3]', '[475, 475, -3*w^3 - w^2 + 12*w + 4]', '[485, 485, -w^2 + 4*w + 2]', '[487, 487, 2*w^2 + 4*w - 7]', '[491, 491, -w^3 + w^2 + 7*w - 4]', '[493, 493, w^3 - 4*w^2 - 4*w + 18]', '[493, 493, 4*w^3 - w^2 - 20*w + 5]', '[503, 503, 2*w^3 + w^2 - 9*w + 2]', '[521, 521, w^2 - 3*w - 3]', '[523, 523, -w^3 + 2*w^2 + 5*w - 4]', '[523, 523, -w^3 + 8*w - 5]', '[533, 533, -3*w^3 + w^2 + 14*w - 9]', '[535, 535, 2*w^2 + 2*w - 9]', '[545, 545, -4*w^3 - w^2 + 17*w + 6]', '[551, 551, -5*w^3 + 5*w^2 + 24*w - 23]', '[551, 551, w^3 + 2*w^2 - 3*w - 8]', '[553, 553, w^3 - 8*w]', '[553, 553, 2*w^3 + w^2 - 7*w - 4]', '[559, 559, 2*w^3 - 11*w + 6]', '[559, 559, 3*w^3 - 12*w + 1]', '[560, 70, 4*w - 2]', '[560, 70, -2*w^3 + 10*w - 6]', '[563, 563, w^3 + 3*w^2 - w - 8]', '[563, 563, w^3 - 2*w^2 - 8*w + 4]', '[563, 563, -w^3 + w^2 + 2*w - 5]', '[563, 563, -3*w^3 - w^2 + 10*w - 2]', '[567, 21, -3*w - 3]', '[567, 21, 3*w^3 - 12*w + 3]', '[577, 577, 3*w^3 - 16*w]', '[587, 587, w^3 + 2*w^2 - 6]', '[587, 587, -w^3 + 4*w - 6]', '[595, 595, w^3 - w^2 - 6*w + 10]', '[595, 595, 3*w^2 + w - 10]', '[595, 595, -w^3 + w + 4]', '[595, 595, w^3 - 2*w^2 - 6*w + 4]', '[601, 601, -w - 5]', '[607, 607, w^3 - 2*w^2 - 4*w + 1]', '[611, 611, -w^3 + 2*w^2 + 4*w - 2]', '[613, 613, 4*w^3 - 17*w]', '[617, 617, -3*w^3 + w^2 + 14*w - 2]', '[617, 617, -4*w^3 + 17*w - 4]', '[619, 619, -3*w^3 + 12*w - 2]', '[625, 5, 5]', '[625, 625, w^3 + w^2 - 2*w - 5]', '[635, 635, 2*w^2 - 2*w - 7]', '[637, 91, -3*w^3 + 11*w - 5]', '[637, 91, -w^3 + 2*w^2 + 7*w - 3]', '[637, 637, 2*w^2 - 3*w - 5]', '[637, 637, 2*w^3 - 2*w^2 - 7*w + 2]', '[643, 643, 3*w^3 - w^2 - 12*w + 3]', '[643, 643, -2*w^3 - w^2 + 11*w - 2]', '[647, 647, 2*w^3 + w^2 - 9*w + 3]', '[653, 653, w^3 + w^2 - 7*w - 4]', '[656, 82, -2*w^3 + 2*w^2 + 10*w - 6]', '[661, 661, -w^3 + 4*w^2 + 6*w - 15]', '[661, 661, 3*w^3 - 2*w^2 - 12*w + 10]', '[665, 665, w^3 - w^2 - 8*w + 1]', '[665, 665, w^3 - 3*w^2 - 6*w + 8]', '[665, 665, 2*w^3 + 2*w^2 - 7*w - 6]', '[665, 665, w^3 + 3*w^2 - 3*w - 5]', '[677, 677, -3*w^2 - 2*w + 12]', '[679, 679, -w^3 + w - 3]', '[679, 679, 3*w^3 + w^2 - 9*w]', '[685, 685, -2*w^3 - w^2 + 10*w - 2]', '[688, 86, 2*w^3 - 2*w^2 - 8*w + 4]', '[688, 86, 2*w^3 - 12*w]', '[691, 691, -2*w^3 + 3*w^2 + 11*w - 10]', '[691, 691, -3*w^3 + 16*w - 3]', '[695, 695, -4*w^3 - w^2 + 16*w + 4]', '[697, 697, 4*w^3 + w^2 - 17*w + 2]', '[697, 697, -3*w^2 + 11]', '[701, 701, 3*w^3 - 13*w + 6]', '[719, 719, -3*w^2 + w + 10]', '[725, 725, -3*w^3 + 2*w^2 + 15*w - 7]', '[727, 727, w^3 - 3*w^2 - 4*w + 6]', '[731, 731, -6*w^3 - 2*w^2 + 25*w + 3]', '[731, 731, 3*w^2 - 2*w - 8]', '[731, 731, 3*w^3 + w^2 - 12*w - 5]', '[731, 731, -3*w^3 - w^2 + 14*w - 1]', '[743, 743, -w^3 + 2*w^2 + 5*w - 3]', '[745, 745, -3*w^3 - w^2 + 17*w + 4]', '[745, 745, -2*w^3 - w^2 + 5*w + 3]', '[749, 749, -w^3 + 3*w^2 + 8*w - 10]', '[749, 749, -w^3 - w^2 + 4*w + 8]', '[752, 94, -2*w^3 - 2*w^2 + 10*w]', '[761, 761, -w^3 + 3*w^2 + 3*w - 12]', '[761, 761, 3*w^3 - 2*w^2 - 14*w + 7]', '[763, 763, 2*w^3 + 2*w^2 - 8*w - 9]', '[763, 763, 3*w^3 - 16*w + 1]', '[767, 767, 2*w^3 - 3*w^2 - 12*w + 11]', '[769, 769, -3*w^3 + 3*w^2 + 16*w - 13]', '[769, 769, w^3 + 2*w^2 - 7*w - 6]', '[773, 773, w^3 - 8*w + 4]', '[773, 773, 4*w^2 + w - 16]', '[779, 779, -4*w^3 + 2*w^2 + 17*w - 13]', '[779, 779, -w^3 - w^2 + 2*w - 4]', '[784, 14, 2*w^3 - 12*w + 4]', '[784, 14, 2*w^2 + 4*w - 4]', '[784, 98, -2*w^2 - 4*w + 6]', '[784, 98, 2*w^3 - 6*w - 4]', '[787, 787, w^2 + 4*w - 2]', '[797, 797, -2*w^3 + 3*w^2 + 10*w - 10]', '[797, 797, -w^3 - w^2 + 4*w - 4]', '[797, 797, w^3 + 2*w^2 - 3*w - 9]', '[797, 797, -3*w^3 + 3*w^2 + 11*w - 10]', '[799, 799, -w^3 + w^2 + 3*w + 3]', '[799, 799, w^3 - 2*w^2 - 7*w]', '[815, 815, -6*w^3 - w^2 + 26*w + 3]', '[815, 815, -3*w^3 + w^2 + 13*w + 3]', '[817, 817, 3*w^3 + w^2 - 13*w + 2]', '[817, 817, 3*w^3 - 2*w^2 - 12*w + 9]', '[817, 817, w^2 + 5*w + 2]', '[817, 817, w^2 + 3]', '[821, 821, w^2 + w - 9]', '[827, 827, w^3 - 8*w + 1]', '[827, 827, -2*w^3 + w^2 + 9*w - 11]', '[827, 827, 3*w^3 - 14*w + 5]', '[827, 827, 2*w^3 + w^2 - 7*w - 5]', '[829, 829, -2*w^3 - 2*w^2 + 9*w - 1]', '[833, 119, -4*w^3 + 17*w - 1]', '[833, 119, 5*w^3 + 3*w^2 - 17*w]', '[833, 119, -w^3 - 2*w^2 + 2*w + 7]', '[833, 119, -w^2 - 4*w + 4]', '[833, 833, 3*w^3 - w^2 - 14*w + 11]', '[833, 833, -w^3 - 2*w^2 + 6*w + 9]', '[833, 833, -2*w^3 - w^2 + 12*w + 4]', '[833, 833, 2*w^2 + 3*w - 9]', '[839, 839, -3*w^3 + 15*w - 5]', '[841, 841, 2*w^3 + 2*w^2 - 6*w - 5]', '[845, 845, 3*w^3 - w^2 - 12*w + 4]', '[853, 853, -4*w^3 + 15*w - 8]', '[853, 853, -w^3 + 2*w^2 + 6*w - 3]', '[859, 859, -w^3 + w^2 + w - 4]', '[859, 859, w^3 + w^2 - w - 5]', '[865, 865, 4*w^3 + 3*w^2 - 21*w - 7]', '[865, 865, -4*w^3 + 17*w - 3]', '[871, 871, 2*w^2 + 2*w - 11]', '[875, 35, -7*w^3 - 4*w^2 + 28*w + 4]', '[875, 35, -2*w^3 + w^2 + 13*w + 4]', '[875, 875, 2*w^2 + 4*w - 5]', '[875, 875, -2*w^3 + 8*w + 5]', '[881, 881, -w^3 + w^2 + 2*w - 6]', '[881, 881, w^3 + w^2 - 2*w - 6]', '[883, 883, w^3 + 3*w^2 - 3*w - 6]', '[887, 887, w^3 + 3*w^2 - 3*w - 8]', '[889, 889, -3*w^3 + w^2 + 12*w - 6]', '[889, 889, 2*w^3 - 3*w^2 - 8*w + 15]', '[893, 893, w^2 + 4*w - 3]', '[893, 893, 3*w^3 + 4*w^2 - 11*w - 3]', '[895, 895, -w^3 + 4*w + 5]', '[905, 905, -8*w^3 - w^2 + 35*w + 5]', '[905, 905, -6*w^3 + 24*w + 5]', '[919, 919, 2*w^3 - w^2 - 13*w]', '[929, 929, -w^3 - 3*w^2 + 2*w + 10]', '[929, 929, w^3 + w^2 - 5*w - 8]', '[931, 133, -4*w^3 - w^2 + 15*w - 7]', '[931, 133, 3*w^3 - w^2 - 15*w + 10]', '[931, 133, -4*w^3 - 4*w^2 + 9*w - 1]', '[931, 133, -w^2 + 3*w + 4]', '[931, 931, -3*w^3 + w^2 + 12*w - 5]', '[931, 931, w^3 - 8*w + 3]', '[931, 931, -3*w^2 + 10]', '[931, 931, w - 6]', '[941, 941, w^3 + 2*w^2 - 3*w - 10]', '[944, 118, 4*w^3 - 16*w + 6]', '[953, 953, -w^3 + 5*w - 7]', '[953, 953, -2*w^3 + 3*w^2 + 9*w - 9]', '[953, 953, -2*w^3 - w^2 + 10*w - 3]', '[953, 953, -3*w^3 + 11*w - 1]', '[955, 955, -w^3 + 8*w - 2]', '[955, 955, 5*w^3 - w^2 - 23*w + 3]', '[959, 959, -w^3 - w^2 + 3*w - 4]', '[959, 959, 3*w^3 - 13*w + 7]', '[961, 31, -w^3 + 3*w^2 + 2*w - 10]', '[961, 31, -3*w^2 + 2*w + 7]', '[965, 965, -3*w^3 + w^2 + 14*w]', '[965, 965, 2*w^3 - 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11]', '[1777, 1777, w^3 + 3*w^2 - 6*w - 7]', '[1777, 1777, 2*w^2 + 3*w - 11]', '[1781, 1781, -w^3 + 3*w^2 + 8*w - 15]', '[1787, 1787, -w^3 + 9*w - 1]', '[1787, 1787, -w^3 + 4*w^2 + 4*w - 13]', '[1789, 1789, -3*w^3 - 2*w^2 + 13*w - 1]', '[1792, 28, 4*w + 4]', '[1792, 28, -4*w^3 + 16*w - 4]', '[1795, 1795, -5*w^3 - w^2 + 19*w + 2]', '[1795, 1795, w^3 + 3*w^2 - 6*w - 6]', '[1799, 1799, 3*w^3 + 2*w^2 - 15*w]', '[1799, 1799, 2*w^3 - 8*w + 9]', '[1799, 1799, -3*w^3 - 2*w^2 + 12*w - 3]', '[1799, 1799, w^3 - 4*w - 6]', '[1801, 1801, w^3 - 6*w - 6]', '[1801, 1801, -4*w^3 + w^2 + 13*w - 11]', '[1805, 95, -9*w^3 - 3*w^2 + 39*w + 8]', '[1805, 95, w^3 - 7]', '[1805, 1805, 4*w^3 - w^2 - 16*w + 9]', '[1805, 1805, w^3 - 3*w^2 - 2*w + 11]', '[1807, 1807, 3*w^3 + w^2 - 14*w + 3]', '[1819, 1819, 5*w^3 - w^2 - 21*w + 14]', '[1819, 1819, -3*w^3 + w^2 + 10*w - 5]', '[1823, 1823, 4*w^3 + 3*w^2 - 19*w - 9]', '[1835, 1835, 3*w^3 - 10*w - 6]', '[1841, 1841, -w^3 - 3*w^2 + 5*w + 8]', '[1841, 1841, -2*w^3 + 2*w^2 + 9*w - 2]', '[1843, 1843, -2*w^2 - 5*w + 7]', '[1843, 1843, -3*w^3 - 5*w^2 + 10*w + 4]', '[1847, 1847, -w^3 + w^2 - 4]', '[1849, 43, -5*w^3 + 3*w^2 + 23*w - 12]', '[1849, 43, -4*w^3 + 3*w^2 + 21*w - 10]', '[1849, 1849, 3*w^3 + 2*w^2 - 10*w - 5]', '[1849, 1849, w - 7]', '[1853, 1853, w^3 + 4*w^2 - 6*w - 14]', '[1853, 1853, -6*w^3 - w^2 + 28*w - 1]', '[1861, 1861, -2*w^3 + 2*w^2 + 11*w - 3]', '[1861, 1861, 2*w^2 - 2*w - 15]', '[1861, 1861, -w^2 - w - 4]', '[1861, 1861, -3*w^3 - 3*w^2 + 13*w + 5]', '[1865, 1865, -2*w^3 + 2*w^2 + 9*w - 1]', '[1871, 1871, -3*w^3 + 3*w^2 + 13*w - 9]', '[1873, 1873, -2*w^3 - 4*w^2 + 6*w + 9]', '[1877, 1877, 6*w^3 - 3*w^2 - 28*w + 13]', '[1877, 1877, -w^3 + 2*w^2 + 2*w - 9]', '[1879, 1879, w^2 - 4*w - 4]', '[1879, 1879, -3*w^3 + 12*w - 11]', '[1883, 1883, -2*w^3 + 3*w^2 + 13*w - 6]', '[1883, 1883, -w^3 - 5*w^2 + 2*w + 17]', '[1885, 1885, 2*w^3 + 4*w^2 - 10*w - 15]', '[1895, 1895, -5*w^3 - 3*w^2 + 23*w + 8]', '[1897, 1897, -3*w^3 - 4*w^2 + 10*w + 6]', '[1897, 1897, w^3 + 4*w^2 + w - 2]', '[1897, 1897, 3*w^3 - 3*w^2 - 14*w + 10]', '[1897, 1897, w^3 + 3*w^2 - 5*w - 7]', '[1904, 238, -2*w^2 + 2*w + 10]', '[1904, 238, -4*w^3 + 20*w - 6]', '[1904, 238, -4*w^3 + 16*w - 2]', '[1904, 238, -2*w^3 + 8*w + 6]', '[1913, 1913, 3*w^3 - 14*w + 8]', '[1913, 1913, w^2 - 3*w - 6]', '[1927, 1927, -2*w^3 - 3*w^2 + 9*w + 5]', '[1933, 1933, -w^3 + 2*w^2 - 2*w - 3]', '[1933, 1933, w^3 + w^2 - 5*w - 9]', '[1937, 1937, 3*w^3 + w^2 - 13*w + 7]', '[1937, 1937, 2*w^3 - 2*w^2 - 10*w + 3]', '[1939, 1939, 4*w^3 - w^2 - 19*w]', '[1939, 1939, 3*w^3 + 3*w^2 - 14*w - 9]', '[1943, 1943, 2*w^3 - w^2 - 8*w + 12]', '[1945, 1945, -4*w^3 + w^2 + 21*w - 4]', '[1949, 1949, 3*w^3 - 15*w + 7]', '[1949, 1949, -w^3 - w^2 + 3*w - 5]', '[1949, 1949, 4*w^3 - 16*w + 3]', '[1949, 1949, 2*w^2 - 3*w - 7]', '[1951, 1951, 4*w^3 + 3*w^2 - 20*w - 6]', '[1967, 1967, 4*w^3 - w^2 - 20*w - 1]', '[1967, 1967, 4*w^3 + 3*w^2 - 18*w - 8]', '[1975, 1975, 4*w^3 + w^2 - 14*w]', '[1979, 1979, 3*w^3 - 2*w^2 - 14*w + 17]', '[1979, 1979, 3*w^3 - 14*w + 9]', '[1981, 1981, 4*w^3 + w^2 - 14*w + 3]', '[1981, 1981, -3*w^3 + 2*w^2 + 14*w - 5]', '[1981, 1981, -2*w^3 + w^2 + 6*w - 10]', '[1981, 1981, -4*w^2 + 15]', '[1985, 1985, -2*w^3 - w^2 + 12*w + 7]', '[1993, 1993, 5*w^3 + 2*w^2 - 21*w - 7]', '[2000, 10, -6*w^3 - 2*w^2 + 24*w + 2]', '[2000, 250, -2*w^3 + 4*w^2 + 10*w - 12]', '[2003, 2003, w^3 + 4*w^2 - 6*w - 4]', '[2005, 2005, -4*w^3 + w^2 + 15*w - 1]', '[2009, 287, 3*w^2 - 2*w - 12]', '[2009, 287, -2*w^3 + 5*w^2 + 8*w - 18]', '[2009, 2009, 4*w^3 - w^2 - 16*w + 3]', '[2009, 2009, -3*w^3 + w^2 + 10*w - 11]', '[2021, 2021, 4*w^3 + w^2 - 19*w + 2]', '[2021, 2021, -4*w^3 + 3*w^2 + 16*w - 11]', '[2023, 119, w^3 + 2*w^2 - 3*w + 3]', '[2023, 119, w^2 + 5*w - 3]', '[2023, 119, -3*w^3 - w^2 + 13*w - 5]', '[2023, 119, -w^3 - 2*w^2 + w + 8]', '[2023, 2023, -w^3 - 2*w^2 + 7*w + 8]', '[2023, 2023, -5*w^3 + 2*w^2 + 22*w - 10]', '[2023, 2023, -3*w^3 + w^2 + 9*w - 2]', '[2023, 2023, w^3 - 2*w^2 - w + 7]', '[2025, 75, 3*w^3 + 3*w^2 - 9*w - 6]', '[2029, 2029, -3*w^3 + w^2 + 12*w + 4]', '[2032, 254, -4*w^3 + 2*w^2 + 20*w - 16]', '[2033, 2033, 2*w^3 + w^2 - 6*w - 6]', '[2033, 2033, -4*w^3 + 4*w^2 + 18*w - 15]', '[2039, 2039, -5*w^3 + 22*w - 7]', '[2039, 2039, 3*w^3 + w^2 - 15*w + 3]', '[2045, 2045, -8*w^3 - 2*w^2 + 41*w + 6]', '[2045, 2045, -2*w^3 + 11*w + 6]', '[2051, 2051, -2*w^3 + 2*w^2 + 12*w - 1]', '[2051, 2051, -5*w^3 - 4*w^2 + 20*w + 5]', '[2063, 2063, -2*w^3 - w^2 + 12*w - 6]', '[2065, 2065, -3*w^3 + 2*w^2 + 11*w - 15]', '[2065, 2065, 2*w^3 + 4*w^2 - 6*w - 7]', '[2069, 2069, -3*w^3 - 4*w^2 + 12*w + 15]', '[2069, 2069, w^3 - 9*w + 4]', '[2071, 2071, 5*w^3 - 3*w^2 - 22*w + 15]', '[2071, 2071, -w^3 + 5*w + 6]', '[2081, 2081, -6*w^3 + w^2 + 27*w - 11]', '[2083, 2083, 3*w^3 + w^2 - 11*w - 6]', '[2087, 2087, -3*w^3 - 3*w^2 + 13*w + 7]', '[2099, 2099, 2*w^2 - 3*w + 4]', '[2099, 2099, -2*w^3 + 5*w^2 + 8*w - 16]', '[2105, 2105, -3*w^3 - w^2 + 18*w + 1]', '[2105, 2105, -7*w^3 - 2*w^2 + 30*w + 7]', '[2107, 301, -4*w^2 + 5*w + 9]', '[2107, 301, -w^3 + w^2 + w - 6]', '[2107, 301, -4*w^3 + 17*w + 6]', '[2107, 301, 2*w^2 + 4*w + 3]', '[2107, 2107, -4*w^3 + 3*w^2 + 12*w - 2]', '[2107, 2107, -5*w^3 - 3*w^2 + 26*w + 3]', '[2107, 2107, 2*w^3 - 2*w^2 - 5*w + 8]', '[2107, 2107, w^3 + 2*w^2 - 2*w + 3]', '[2111, 2111, w^2 - w - 10]', '[2111, 2111, 3*w^3 - 2*w^2 - 12*w + 1]', '[2119, 2119, 2*w^3 + 3*w^2 - 9*w - 8]', '[2119, 2119, w^3 - 9*w + 2]', '[2125, 85, 4*w^3 - 2*w^2 - 26*w - 3]', '[2125, 85, -3*w^3 - w^2 + 17*w + 6]', '[2125, 2125, 4*w^3 + 3*w^2 - 18*w - 6]', '[2125, 2125, 4*w^3 + w^2 - 16*w + 6]', '[2128, 266, -2*w^3 - 2*w^2 + 12*w - 2]', '[2128, 266, 4*w^2 - 4*w - 6]', '[2128, 266, -2*w^3 - 4*w^2 + 6*w + 8]', '[2128, 266, -2*w + 8]', '[2129, 2129, -3*w^3 + 17*w - 4]', '[2131, 2131, -4*w^3 + 15*w - 6]', '[2131, 2131, -4*w^3 + w^2 + 14*w]', '[2137, 2137, 6*w^3 + 2*w^2 - 24*w - 1]', '[2149, 2149, -4*w^3 + 19*w - 6]', '[2149, 2149, w^3 - 3*w^2 - 5*w + 18]', '[2153, 2153, 4*w^2 - 4*w - 7]', '[2153, 2153, 2*w^3 + 2*w^2 - 7*w - 9]', '[2153, 2153, w^3 + 4*w^2 - 3*w - 7]', '[2153, 2153, 3*w^3 + w^2 - 13*w + 6]', '[2159, 2159, 3*w^3 - 4*w^2 - 16*w + 25]', '[2159, 2159, 3*w^3 - 3*w^2 - 15*w + 10]', '[2161, 2161, w^3 + w^2 - 8*w - 5]', '[2161, 2161, 2*w^3 + 3*w^2 - 10*w - 8]', '[2177, 2177, -w^3 - w^2 + w - 6]', '[2177, 2177, 5*w^3 - 21*w + 9]', '[2179, 2179, -w^3 - 4]', '[2191, 2191, -2*w^3 - w^2 + 5*w + 5]', '[2191, 2191, 6*w - 1]', '[2191, 2191, 7*w^3 - 30*w + 8]', '[2191, 2191, w^3 - 9*w - 8]', '[2192, 274, -2*w^3 + 2*w^2 + 6*w - 10]', '[2195, 2195, w^3 + 2*w^2 - 8*w - 6]', '[2197, 13, 2*w^3 + 3*w^2 - 9*w - 6]', '[2197, 2197, -3*w^3 + w^2 + 9*w - 3]', '[2203, 2203, -2*w^3 + 3*w^2 + 8*w - 6]', '[2209, 2209, w^3 - 9*w + 3]', '[2213, 2213, w^3 + 2*w^2 - 2*w - 13]', '[2213, 2213, -3*w^2 + 5*w + 6]', '[2215, 2215, 3*w^3 + 4*w^2 - 18*w - 8]', '[2215, 2215, -4*w^3 - w^2 + 17*w - 4]', '[2215, 2215, -9*w^3 - 2*w^2 + 45*w + 6]', '[2215, 2215, 3*w^3 + 2*w^2 - 16*w - 11]', '[2219, 2219, -5*w^3 - 2*w^2 + 18*w + 1]', '[2219, 2219, 4*w + 5]', '[2221, 2221, 2*w^3 + 2*w^2 - 6*w - 7]', '[2221, 2221, 2*w^3 + 2*w^2 - 5*w - 6]', '[2224, 278, 2*w^3 - 2*w^2 - 10*w + 2]', '[2243, 2243, -3*w^3 - 4*w^2 + 9*w + 9]', '[2243, 2243, 4*w^2 - 3]', '[2245, 2245, -2*w^3 + 2*w^2 + 11*w - 2]', '[2245, 2245, 4*w^3 + 3*w^2 - 19*w - 8]', '[2249, 2249, -5*w^3 + 3*w^2 + 21*w - 11]', '[2249, 2249, -2*w^3 + 6*w^2 + 11*w - 24]', '[2261, 2261, w^3 - 2*w^2 - 9*w + 4]', '[2261, 2261, 2*w^3 + 3*w^2 - 9*w - 7]', '[2261, 2261, -2*w^3 + 3*w^2 + 11*w - 8]', '[2261, 2261, -w^3 - 2*w^2 + 2*w + 10]', '[2261, 2261, -4*w^3 - w^2 + 14*w - 1]', '[2261, 2261, -w^3 + w^2 + 4*w + 4]', '[2261, 2261, -w^3 + w^2 + w + 6]', '[2261, 2261, -w^3 + 3*w^2 + 3*w - 15]', '[2267, 2267, -2*w^3 - w^2 + 13*w - 7]', '[2267, 2267, 4*w^3 + 3*w^2 - 19*w - 6]', '[2275, 2275, 3*w^3 - 2*w^2 - 17*w + 13]', '[2275, 2275, w^3 + w^2 - w - 8]', '[2281, 2281, w^3 - 3*w - 7]', '[2291, 2291, 2*w^3 + 2*w^2 - 7*w - 12]', '[2303, 329, 3*w^3 - w^2 - 8*w - 4]', '[2303, 329, 4*w^3 + w^2 - 22*w]', '[2303, 2303, w^3 + 3*w^2 - 13*w - 1]', '[2303, 2303, 3*w^3 + 2*w^2 - 6*w - 4]', '[2305, 2305, -5*w^3 - w^2 + 27*w + 3]', '[2309, 2309, 3*w^2 + 3*w - 13]', '[2309, 2309, 4*w^3 - w^2 - 16*w + 8]', '[2311, 2311, 4*w^2 - 3*w - 6]', '[2317, 2317, 4*w^3 + 2*w^2 - 13*w - 4]', '[2317, 2317, w^3 - w^2 - 9*w + 2]', '[2320, 290, 4*w^3 + 2*w^2 - 18*w - 12]', '[2327, 2327, 3*w^3 - 3*w^2 - 17*w + 16]', '[2329, 2329, -2*w^3 - 3*w^2 + 5*w + 8]', '[2329, 2329, 4*w^3 - 3*w^2 - 16*w + 13]', '[2333, 2333, 2*w^3 - w^2 - 13*w + 2]', '[2335, 2335, 2*w^3 + 3*w^2 - 10*w - 6]', '[2339, 2339, 5*w^3 - w^2 - 21*w + 3]', '[2339, 2339, 3*w^3 + 3*w^2 - 14*w - 8]', '[2341, 2341, w^2 - 3*w - 7]', '[2341, 2341, -w^3 + 3*w - 8]', '[2345, 2345, 2*w^3 - 3*w^2 - 7*w + 4]', '[2345, 2345, 4*w^3 - 3*w^2 - 16*w + 12]', '[2349, 87, 6*w^3 - 3*w^2 - 27*w + 15]', '[2351, 2351, w^2 - 10]', '[2353, 2353, 3*w^3 + 2*w^2 - 17*w + 1]', '[2353, 2353, 3*w^3 + 3*w^2 - 15*w - 7]', '[2357, 2357, 5*w^3 - w^2 - 23*w + 1]', '[2357, 2357, 4*w^2 + w - 13]', '[2359, 2359, 2*w^3 + 4*w^2 - 5*w - 11]', '[2359, 2359, 4*w^3 + w^2 - 15*w - 5]', '[2359, 2359, 3*w^3 - 17*w + 2]', '[2359, 2359, -3*w^2 - 6*w + 4]', '[2363, 2363, -6*w^3 - 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14*w - 4]', '[421, 421, 2*w^3 - w^2 - 10*w + 1]', '[421, 421, w^3 + 2*w^2 - 5*w - 4]', '[439, 439, -2*w^3 + 10*w - 5]', '[443, 443, -2*w^3 + 12*w - 5]', '[443, 443, -4*w^3 + w^2 + 18*w - 9]', '[443, 443, -2*w^3 + w^2 + 7*w - 9]', '[443, 443, 3*w^3 + 2*w^2 - 14*w - 5]', '[449, 449, w^3 + 2*w^2 - 2*w - 6]', '[449, 449, -2*w^3 + w^2 + 11*w - 5]', '[461, 461, 2*w^3 + 2*w^2 - 9*w - 4]', '[467, 467, -w^3 + w^2 + 7*w - 5]', '[487, 487, 2*w^2 + 4*w - 7]', '[491, 491, -w^3 + w^2 + 7*w - 4]', '[503, 503, 2*w^3 + w^2 - 9*w + 2]', '[521, 521, w^2 - 3*w - 3]', '[523, 523, -w^3 + 2*w^2 + 5*w - 4]', '[523, 523, -w^3 + 8*w - 5]', '[563, 563, w^3 + 3*w^2 - w - 8]', '[563, 563, w^3 - 2*w^2 - 8*w + 4]', '[563, 563, -w^3 + w^2 + 2*w - 5]', '[563, 563, -3*w^3 - w^2 + 10*w - 2]', '[577, 577, 3*w^3 - 16*w]', '[587, 587, w^3 + 2*w^2 - 6]', '[587, 587, -w^3 + 4*w - 6]', '[601, 601, -w - 5]', '[607, 607, w^3 - 2*w^2 - 4*w + 1]', '[613, 613, 4*w^3 - 17*w]', '[617, 617, -3*w^3 + w^2 + 14*w - 2]', '[617, 617, -4*w^3 + 17*w - 4]', '[619, 619, -3*w^3 + 12*w - 2]', '[643, 643, 3*w^3 - w^2 - 12*w + 3]', '[643, 643, -2*w^3 - w^2 + 11*w - 2]', '[647, 647, 2*w^3 + w^2 - 9*w + 3]', '[653, 653, w^3 + w^2 - 7*w - 4]', '[661, 661, -w^3 + 4*w^2 + 6*w - 15]', '[661, 661, 3*w^3 - 2*w^2 - 12*w + 10]', '[677, 677, -3*w^2 - 2*w + 12]', '[691, 691, -2*w^3 + 3*w^2 + 11*w - 10]', '[691, 691, -3*w^3 + 16*w - 3]', '[701, 701, 3*w^3 - 13*w + 6]', '[719, 719, -3*w^2 + w + 10]', '[727, 727, w^3 - 3*w^2 - 4*w + 6]', '[743, 743, -w^3 + 2*w^2 + 5*w - 3]', '[761, 761, -w^3 + 3*w^2 + 3*w - 12]', '[761, 761, 3*w^3 - 2*w^2 - 14*w + 7]', '[769, 769, -3*w^3 + 3*w^2 + 16*w - 13]', '[769, 769, w^3 + 2*w^2 - 7*w - 6]', '[773, 773, w^3 - 8*w + 4]', '[773, 773, 4*w^2 + w - 16]', '[787, 787, w^2 + 4*w - 2]', '[797, 797, -2*w^3 + 3*w^2 + 10*w - 10]', '[797, 797, -w^3 - w^2 + 4*w - 4]', '[797, 797, w^3 + 2*w^2 - 3*w - 9]', '[797, 797, -3*w^3 + 3*w^2 + 11*w - 10]', '[821, 821, w^2 + w - 9]', '[827, 827, w^3 - 8*w + 1]', '[827, 827, -2*w^3 + w^2 + 9*w - 11]', '[827, 827, 3*w^3 - 14*w + 5]', '[827, 827, 2*w^3 + w^2 - 7*w - 5]', '[829, 829, -2*w^3 - 2*w^2 + 9*w - 1]', '[839, 839, -3*w^3 + 15*w - 5]', '[853, 853, -4*w^3 + 15*w - 8]', '[853, 853, -w^3 + 2*w^2 + 6*w - 3]', '[859, 859, -w^3 + w^2 + w - 4]', '[859, 859, w^3 + w^2 - w - 5]', '[881, 881, -w^3 + w^2 + 2*w - 6]', '[881, 881, w^3 + w^2 - 2*w - 6]', '[883, 883, w^3 + 3*w^2 - 3*w - 6]', '[887, 887, w^3 + 3*w^2 - 3*w - 8]', '[919, 919, 2*w^3 - w^2 - 13*w]', '[929, 929, -w^3 - 3*w^2 + 2*w + 10]', '[929, 929, w^3 + w^2 - 5*w - 8]', '[941, 941, w^3 + 2*w^2 - 3*w - 10]', '[953, 953, -w^3 + 5*w - 7]', '[953, 953, -2*w^3 + 3*w^2 + 9*w - 9]', '[953, 953, -2*w^3 - w^2 + 10*w - 3]', '[953, 953, -3*w^3 + 11*w - 1]', '[961, 31, -w^3 + 3*w^2 + 2*w - 10]', '[961, 31, -3*w^2 + 2*w + 7]', '[967, 967, w^3 + 3*w^2 - 3*w - 7]', '[967, 967, 4*w^3 + w^2 - 20*w + 1]', '[983, 983, 2*w^3 - w^2 - 12*w + 8]', '[983, 983, 2*w^3 + w^2 - 6*w - 4]', '[991, 991, 2*w^3 - 12*w + 3]']}
99. label: 4.4.8112.1
    {'degree': 4, 'discriminant': 8112, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[4, 2, w^2 - w - 1]', '[9, 3, -w^2 + 3]', '[9, 3, -w^2 + 2]', '[12, 6, w^2 - w - 3]', '[13, 13, w^3 - 4*w + 2]', '[13, 13, -w^3 + 4*w + 2]', '[16, 2, 2]', '[17, 17, w^3 - 3*w - 1]', '[17, 17, -w^3 + 3*w - 1]', '[27, 3, -w^3 + 5*w]', '[27, 9, -w^3 + 3*w]', '[29, 29, w^3 + w^2 - 4*w - 2]', '[29, 29, w^3 - w^2 - 4*w + 2]', '[36, 6, w^3 + w^2 - 5*w - 2]', '[36, 6, w^3 + w^2 - 3*w]', '[39, 39, w + 3]', '[39, 39, w - 3]', '[43, 43, w^2 + w - 4]', '[43, 43, w^2 - w - 4]', '[48, 6, 2*w]', '[51, 51, w^3 + w^2 - 4*w - 6]', '[51, 51, w^3 - w^2 - 4*w + 6]', '[52, 26, w^3 + w^2 - 3*w - 4]', '[52, 26, w^3 - w^2 - 3*w + 4]', '[53, 53, w^3 - 2*w - 2]', '[53, 53, -w^3 + 2*w - 2]', '[64, 4, 2*w^2 - 2*w - 2]', '[68, 34, -w^2 + w + 5]', '[68, 34, w^2 + w - 5]', '[79, 79, w^3 - w^2 - 4*w + 1]', '[79, 79, -w^3 - w^2 + 4*w + 1]', '[81, 3, 3]', '[81, 9, w^2 + 1]', '[81, 9, -w^2 + 6]', '[87, 87, -w^3 - 2*w^2 + 4*w + 6]', '[87, 87, w^3 - 2*w^2 - 4*w + 6]', '[101, 101, -w^3 + w^2 + 3*w - 5]', '[101, 101, w^3 + w^2 - 3*w - 5]', '[103, 103, 2*w^2 - w - 4]', '[103, 103, 2*w^2 + w - 4]', '[107, 107, 2*w^2 + w - 5]', '[107, 107, 3*w^2 - 3*w - 4]', '[107, 107, 2*w^2 - 2*w - 1]', '[107, 107, 2*w^2 - w - 5]', '[108, 6, w^3 - 2*w - 3]', '[108, 18, w^3 + w^2 - 3*w - 6]', '[113, 113, w^3 - w^2 - 5*w + 1]', '[113, 113, -w^3 - w^2 + 5*w + 1]', '[116, 58, -w^3 + 2*w^2 + 2*w - 5]', '[116, 58, w^3 + 2*w^2 - 2*w - 5]', '[117, 39, -2*w^3 - w^2 + 7*w + 2]', '[117, 39, w^2 + 3*w]', '[117, 39, 2*w^3 - w^2 - 7*w + 2]', '[117, 39, w^2 - 3*w]', '[121, 11, w^3 - 2*w^2 - 3*w + 2]', '[121, 11, -2*w^3 + w^2 + 7*w - 4]', '[127, 127, -2*w^3 + 7*w - 2]', '[127, 127, 2*w^3 - 7*w - 2]', '[129, 129, w^3 - w^2 - 4*w]', '[129, 129, w^3 + w^2 - 4*w]', '[131, 131, w^3 - w^2 - 1]', '[131, 131, -w^3 + w^2 + 4*w + 1]', '[131, 131, -2*w^3 + 3*w^2 + 4*w - 2]', '[131, 131, -2*w^3 + w^2 + 4*w + 2]', '[139, 139, w^2 - 2*w - 4]', '[139, 139, w^2 + 2*w - 4]', '[144, 6, -2*w^2 + 6]', '[144, 6, -2*w^2 + 4]', '[153, 51, w^2 - 3*w - 2]', '[153, 51, w^3 + w^2 - 6*w - 3]', '[153, 51, w^2 + 3*w - 2]', '[153, 51, -w^3 + w^2 + 6*w - 3]', '[156, 78, -2*w^3 + w^2 + 7*w - 3]', '[156, 78, 2*w^3 + w^2 - 7*w - 3]', '[159, 159, 3*w^2 - 2*w - 3]', '[159, 159, -3*w^2 - 2*w + 3]', '[169, 13, 2*w^2 - 5]', '[169, 13, 2*w^2 + w - 8]', '[169, 13, 2*w^2 - w - 8]', '[172, 86, -w^2 + 3*w + 1]', '[172, 86, -2*w^3 + w^2 + 5*w + 1]', '[173, 173, 2*w^2 - 3*w - 5]', '[173, 173, 2*w^2 + 3*w - 5]', '[179, 179, -w^2 - 3*w + 4]', '[179, 179, 2*w^3 - w^2 - 9*w + 2]', '[179, 179, -2*w^3 - w^2 + 9*w + 2]', '[179, 179, w^2 - 3*w - 4]', '[192, 12, 2*w^2 - 2*w - 6]', '[199, 199, -3*w^3 + w^2 + 12*w - 4]', '[199, 199, -3*w^3 - w^2 + 12*w + 4]', '[204, 102, -w^3 + w^2 + 5*w]', '[204, 102, w^3 + w^2 - 5*w]', '[208, 26, 2*w^3 - 8*w + 4]', '[208, 26, -2*w^3 + 8*w + 4]', '[211, 211, 2*w^3 - 7*w + 1]', '[211, 211, -2*w^3 + 7*w + 1]', '[212, 106, 2*w^3 - 5*w^2 + w + 5]', '[212, 106, -2*w^3 + w^2 + 3*w - 1]', '[221, 221, -w^3 - w^2 + 2*w + 4]', '[221, 221, w^3 - w^2 - 4*w + 7]', '[221, 221, -w^3 - w^2 + 4*w + 7]', '[221, 221, w^3 - w^2 - 2*w + 4]', '[233, 233, -w^2 - w - 2]', '[233, 233, -w^2 + w - 2]', '[237, 237, -w^3 + w^2 + w - 3]', '[237, 237, w^3 + w^2 - w - 3]', '[243, 9, 3*w]', '[243, 9, -2*w^3 + 7*w]', '[243, 27, -w^3 + 6*w]', '[256, 4, 4]', '[257, 257, -3*w^2 - w + 10]', '[257, 257, 3*w^2 - w - 10]', '[261, 87, w^3 - w^2 - 5*w - 1]', '[261, 87, 2*w^3 - 9*w - 3]', '[261, 87, w^3 + w^2 - 5*w + 1]', '[261, 87, 2*w^3 - 9*w + 3]', '[263, 263, -w^3 + w^2 + 6*w + 1]', '[263, 263, w^2 + 2*w - 5]', '[263, 263, w^2 - 2*w - 5]', '[263, 263, w^3 + w^2 - 6*w + 1]', '[269, 269, -2*w^3 - w^2 + 6*w + 1]', '[269, 269, 2*w^3 - w^2 - 6*w + 1]', '[272, 34, 2*w^3 - 6*w - 2]', '[272, 34, -2*w^3 + 6*w - 2]', '[277, 277, w^3 - w^2 - 2]', '[277, 277, -w^3 + 2*w^2 + 3*w - 8]', '[277, 277, w^3 + 2*w^2 - 3*w - 8]', '[277, 277, -w^3 - w^2 - 2]', '[283, 283, -2*w^3 + w^2 + 8*w - 1]', '[283, 283, 2*w^3 + w^2 - 8*w - 1]', '[289, 17, -w^2 - 2]', '[289, 17, w^2 - 7]', '[289, 289, -w^3 + 2*w^2 + 6*w - 8]', '[289, 289, w^3 + 2*w^2 - 6*w - 8]', '[303, 303, w^3 + 2*w^2 - 5*w - 3]', '[303, 303, w^3 - 2*w^2 - 5*w + 3]', '[309, 309, 2*w^3 - w^2 - 4*w]', '[309, 309, 2*w^3 + w^2 - 4*w]', '[313, 313, w^3 + 2*w^2 - 4*w - 2]', '[313, 313, 2*w^3 - w^2 - 6*w + 2]', '[313, 313, -2*w^3 - w^2 + 6*w + 2]', '[313, 313, -w^3 + 2*w^2 + 4*w - 2]', '[316, 158, w^3 - 4*w^2 + 5]', '[316, 158, -w^3 + 2*w^2 + 2*w + 1]', '[321, 321, 2*w^3 + w^2 - 5*w]', '[321, 321, w^3 + 3*w^2 - 7*w - 9]', '[321, 321, -w^3 + 2*w^2 + 2*w - 6]', '[321, 321, 2*w^3 - w^2 - 5*w]', '[324, 6, 3*w^2 - 3*w - 3]', '[324, 18, 2*w^3 - w^2 - 7*w - 1]', '[324, 18, w^3 + 2*w^2 - 6*w - 3]', '[337, 337, -w^3 - 2*w^2 + 7*w + 2]', '[337, 337, -2*w^3 + 4*w + 1]', '[337, 337, 2*w^3 - 4*w + 1]', '[337, 337, -w^3 + 2*w^2 + 7*w - 2]', '[339, 339, -w^3 + w + 3]', '[339, 339, -w^3 + w - 3]', '[348, 174, -3*w^3 + w^2 + 11*w - 6]', '[348, 174, -3*w^3 - w^2 + 11*w + 6]', '[351, 39, -w^3 - 3*w^2 + 2*w + 6]', '[351, 39, -w^3 + 3*w^2 + 2*w - 6]', '[351, 117, -2*w^3 + w^2 + 6*w - 6]', '[351, 117, -2*w^3 - w^2 + 6*w + 6]', '[363, 33, -2*w^3 + 2*w^2 + 2*w - 3]', '[363, 33, w^3 - 3*w^2 - 4*w + 6]', '[367, 367, -w^3 + 3*w^2 - 2*w - 5]', '[367, 367, 2*w^3 - 3*w^2 - 2*w + 4]', '[373, 373, -2*w^3 + 10*w + 1]', '[373, 373, -3*w^3 - w^2 + 14*w + 5]', '[373, 373, 3*w^3 - w^2 - 14*w + 5]', '[373, 373, 2*w^3 - 10*w + 1]', '[377, 377, w^3 - 2*w^2 + 4]', '[377, 377, w^3 - 3*w + 5]', '[377, 377, w^3 - 3*w - 5]', '[377, 377, w^3 + 2*w^2 - 4]', '[381, 381, 3*w^2 - 2*w - 6]', '[381, 381, -3*w^2 - 2*w + 6]', '[387, 129, -w^3 + 2*w^2 + 3*w - 9]', '[387, 129, -w^3 + w^2 + 2*w - 5]', '[387, 129, w^3 + 2*w^2 - 3*w - 9]', '[387, 129, w^3 + w^2 - 2*w - 5]', '[389, 389, 2*w^3 - 6*w - 1]', '[389, 389, -2*w^3 + 6*w - 1]', '[393, 393, 2*w^3 - 2*w^2 - 7*w + 3]', '[393, 393, -2*w^3 - 2*w^2 + 7*w + 9]', '[393, 393, -w^3 + w + 6]', '[393, 393, -3*w^3 + 11*w + 6]', '[404, 202, -2*w^3 + w^2 + 5*w - 1]', '[404, 202, -3*w^2 + 5*w + 5]', '[412, 206, -3*w^3 + 5*w^2 + 5*w - 2]', '[412, 206, -w^3 + 3*w^2 + 3*w - 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7]', '[1849, 43, 4*w^2 - 13]', '[1849, 1849, -2*w^3 + 2*w^2 + 8*w - 13]', '[1849, 1849, 2*w^3 + 2*w^2 - 8*w - 13]', '[1856, 116, -2*w^3 + 4*w^2 + 4*w - 10]', '[1856, 116, 2*w^3 + 4*w^2 - 4*w - 10]', '[1871, 1871, 4*w^3 - 2*w^2 - 19*w + 8]', '[1871, 1871, 2*w^3 + w^2 - 5*w - 8]', '[1871, 1871, -2*w^3 + w^2 + 5*w - 8]', '[1871, 1871, 4*w^3 + 2*w^2 - 19*w - 8]', '[1872, 78, -4*w^3 - 2*w^2 + 14*w + 4]', '[1872, 78, 2*w^2 + 6*w]', '[1872, 78, 4*w^3 - 2*w^2 - 14*w + 4]', '[1872, 78, 2*w^2 - 6*w]', '[1875, 15, -5*w]', '[1889, 1889, w^3 - 3*w - 7]', '[1889, 1889, -w^3 + 3*w - 7]', '[1899, 633, w^3 - w^2 - 8*w + 2]', '[1899, 633, 3*w^3 - w^2 - 15*w + 3]', '[1899, 633, -w^3 - w^2 + 8*w + 2]', '[1899, 633, -3*w^3 - w^2 + 15*w + 3]', '[1901, 1901, -w^3 + 4*w^2 - 2*w - 8]', '[1901, 1901, w^3 + 4*w^2 + 2*w - 8]', '[1908, 318, w^3 + w^2 + 3*w]', '[1908, 318, -w^3 - 5*w^2 + 11*w + 10]', '[1908, 318, -5*w^3 - 5*w^2 + 9*w]', '[1908, 318, -3*w^3 + w^2 + 9*w - 2]', '[1921, 1921, -2*w^3 - 2*w^2 + 5*w + 8]', '[1921, 1921, 4*w^2 - 5*w - 10]', '[1921, 1921, 4*w^2 + 5*w - 10]', '[1921, 1921, 2*w^3 - 2*w^2 - 5*w + 8]', '[1923, 1923, w^3 - 4*w^2 - w]', '[1923, 1923, w^3 + 4*w^2 - w]', '[1936, 22, 2*w^3 - 4*w^2 - 6*w + 4]', '[1936, 22, -4*w^3 + 2*w^2 + 14*w - 8]', '[1941, 1941, 3*w^3 + w^2 - 8*w - 3]', '[1941, 1941, -2*w^2 + 2*w - 3]', '[1941, 1941, 2*w^2 + 2*w + 3]', '[1941, 1941, 3*w^3 - w^2 - 8*w + 3]', '[1949, 1949, 4*w^3 - w^2 - 15*w + 4]', '[1949, 1949, 4*w^3 + w^2 - 15*w - 4]', '[1951, 1951, -w^3 + 4*w^2 + 5*w - 10]', '[1951, 1951, w^3 + 4*w^2 - 5*w - 10]', '[1959, 1959, -3*w^3 - 2*w^2 + 10*w - 6]', '[1959, 1959, 3*w^3 - 2*w^2 - 10*w - 6]', '[1972, 986, 2*w^3 + 3*w^2 - 9*w - 5]', '[1972, 986, 3*w^3 - w^2 - 15*w + 4]', '[1972, 986, -3*w^3 - w^2 + 15*w + 4]', '[1972, 986, -2*w^3 + 3*w^2 + 9*w - 5]', '[1973, 1973, -4*w^3 + 17*w - 4]', '[1973, 1973, 4*w^3 - 17*w - 4]', '[1989, 663, w^3 - w^2 + w + 5]', '[1989, 663, -2*w^2 + 3*w + 9]', '[1989, 663, w^3 - 4*w^2 - 5*w + 11]', '[1989, 663, w^3 + 2*w^2 - 3*w + 3]', '[1989, 663, -w^3 - 4*w^2 + 5*w + 11]', '[1989, 663, -w^3 + 2*w^2 + 3*w + 3]', '[1989, 663, -w^3 - w^2 - w + 5]', '[1989, 663, -2*w^2 - 3*w + 9]', '[1993, 1993, w^3 + 4*w^2 - 3*w - 11]', '[1993, 1993, w^3 - w^2 - 2*w - 5]', '[1993, 1993, -w^3 - w^2 + 2*w - 5]', '[1993, 1993, -w^3 + 4*w^2 + 3*w - 11]', '[1999, 1999, 3*w^2 - 2*w - 13]', '[1999, 1999, 3*w^2 + 2*w - 13]', '[2011, 2011, -w^3 - 5*w^2 + w + 7]', '[2011, 2011, w^3 - 5*w^2 - w + 7]', '[2012, 1006, -w^3 - 4*w^2 + 6*w + 5]', '[2012, 1006, -w^3 + 4*w + 7]', '[2012, 1006, -w^3 + 6*w^2 - 2*w - 11]', '[2012, 1006, w^3 - 6*w^2 + 4*w + 5]', '[2027, 2027, -3*w^3 + 5*w^2 + 13*w - 17]', '[2027, 2027, -3*w^3 + 8*w - 2]', '[2027, 2027, 3*w^3 - 8*w - 2]', '[2027, 2027, 3*w^3 + 5*w^2 - 13*w - 17]', '[2028, 78, -w^3 + 2*w^2 + 2*w + 3]', '[2028, 78, w^3 + 2*w^2 - 2*w + 3]', '[2028, 78, -2*w^3 - w^2 + 5*w + 9]', '[2029, 2029, w^3 + 2*w^2 - w - 8]', '[2029, 2029, -5*w + 8]', '[2029, 2029, 5*w + 8]', '[2029, 2029, -w^3 + 2*w^2 + w - 8]', '[2031, 2031, 3*w^3 + w^2 - 8*w]', '[2031, 2031, 3*w^3 - w^2 - 8*w]', '[2032, 254, -4*w^3 + 14*w - 4]', '[2032, 254, 4*w^3 - 14*w - 4]', '[2053, 2053, -3*w^3 + 15*w + 1]', '[2053, 2053, -3*w^3 + 3*w^2 + 13*w - 7]', '[2053, 2053, 3*w^3 + 3*w^2 - 13*w - 7]', '[2053, 2053, 3*w^3 - 15*w + 1]', '[2057, 187, -3*w^3 + 3*w^2 + 3*w + 1]', '[2057, 187, -w^2 + 2*w - 5]', '[2057, 187, w^3 + w^2 + 3*w - 5]', '[2057, 187, 4*w^3 - w^2 - 16*w + 13]', '[2063, 2063, w^3 - 3*w^2 - 3*w + 17]', '[2063, 2063, 4*w^3 - 15*w - 1]', '[2063, 2063, 4*w^3 - 15*w + 1]', '[2063, 2063, -w^3 - 3*w^2 + 3*w + 17]', '[2064, 258, 2*w^3 - 2*w^2 - 8*w]', '[2064, 258, 2*w^3 + 2*w^2 - 8*w]', '[2067, 2067, -3*w^3 + 3*w^2 + 4*w + 3]', '[2067, 2067, 3*w^3 + 3*w^2 - 8*w - 9]', '[2067, 2067, 3*w^3 - 3*w^2 - 8*w + 9]', '[2067, 2067, -3*w^3 - 3*w^2 + 4*w - 3]', '[2076, 1038, -5*w^3 + 2*w^2 + 14*w + 9]', '[2076, 1038, w^3 - 4*w^2 - 4*w + 9]', '[2081, 2081, 4*w^3 - 3*w^2 - 12*w + 4]', '[2081, 2081, -4*w^3 - 3*w^2 + 12*w + 4]', '[2083, 2083, 2*w^3 + 3*w^2 - 8*w - 4]', '[2083, 2083, -2*w^3 + 3*w^2 + 8*w - 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2*w - 12]', '[2133, 711, w^3 + w^2 - 6]', '[2133, 711, -w^3 + w^2 - 6]', '[2141, 2141, -w^3 - w^2 + 4*w - 5]', '[2141, 2141, w^3 - w^2 - 4*w - 5]', '[2148, 1074, -2*w^3 + 5*w^2 + 5*w - 9]', '[2148, 1074, -4*w^3 - w^2 + 19*w + 3]', '[2148, 1074, 6*w^3 + w^2 - 23*w - 9]', '[2148, 1074, -4*w^3 + w^2 + 13*w + 9]', '[2159, 2159, -w - 7]', '[2159, 2159, -4*w^3 + 13*w + 11]', '[2159, 2159, 4*w^3 - 13*w + 11]', '[2159, 2159, w - 7]', '[2181, 2181, 2*w^3 + w^2 - 7*w + 6]', '[2181, 2181, -2*w^3 + w^2 + 7*w + 6]', '[2187, 9, -3*w^3 + 15*w]', '[2187, 27, -w^3 + 8*w]', '[2187, 27, -3*w^3 + 9*w]', '[2187, 81, -4*w^3 + 15*w]', '[2188, 1094, -3*w^3 + w^2 + 7*w - 2]', '[2188, 1094, w^3 - 7*w^2 + 7*w + 10]', '[2193, 2193, -2*w^3 - 4*w^2 + 7*w + 18]', '[2193, 2193, -4*w^3 + 6*w^2 + 19*w - 24]', '[2193, 2193, -4*w^3 - 6*w^2 + 19*w + 24]', '[2193, 2193, -2*w^3 + 4*w^2 + 7*w - 18]', '[2197, 13, 3*w^3 + 4*w^2 - 14*w - 10]', '[2197, 13, -3*w^3 + 4*w^2 + 14*w - 10]', '[2197, 169, 3*w^3 + 3*w^2 - 11*w - 5]', '[2197, 169, -3*w^3 + 3*w^2 + 11*w - 5]', '[2207, 2207, -3*w^3 + w^2 + 14*w + 1]', '[2207, 2207, 2*w^3 + 5*w^2 - 7*w - 20]', '[2207, 2207, 2*w^3 - 5*w^2 - 7*w + 20]', '[2207, 2207, 3*w^3 + w^2 - 14*w + 1]', '[2209, 47, 5*w^3 + 3*w^2 - 20*w - 8]', '[2209, 47, -5*w^3 + 3*w^2 + 20*w - 8]', '[2213, 2213, 3*w^3 + w^2 - 12*w + 2]', '[2213, 2213, 3*w^3 - w^2 - 12*w - 2]', '[2224, 278, 2*w^2 - 4*w - 8]', '[2224, 278, 2*w^2 + 4*w - 8]', '[2227, 2227, -3*w^2 + 2*w + 14]', '[2227, 2227, 3*w^3 + 5*w^2 - 10*w - 17]', '[2227, 2227, 4*w^3 - w^2 - 18*w + 10]', '[2227, 2227, -3*w^3 - 3*w^2 + 14*w + 7]', '[2227, 2227, -3*w^3 + 3*w^2 + 14*w - 7]', '[2227, 2227, 4*w^3 + w^2 - 18*w - 10]', '[2227, 2227, 3*w^3 - 5*w^2 - 10*w + 17]', '[2227, 2227, 3*w^2 + 2*w - 14]', '[2236, 1118, -3*w^3 + 5*w^2 + 13*w - 16]', '[2236, 1118, -w^3 + w^2 + 5*w - 10]', '[2236, 1118, -w^3 - w^2 + 5*w + 10]', '[2236, 1118, -3*w^3 - 5*w^2 + 13*w + 16]', '[2237, 2237, -5*w^3 + 3*w^2 + 18*w - 7]', '[2237, 2237, 5*w^3 + 3*w^2 - 18*w - 7]', '[2239, 2239, -2*w^3 - 2*w^2 + 8*w - 1]', '[2239, 2239, 2*w^3 - 2*w^2 - 8*w - 1]', '[2249, 2249, 3*w^3 + 7*w^2 - 20*w - 19]', '[2249, 2249, 3*w^3 + w^2 - 8*w - 1]', '[2249, 2249, -3*w^3 + w^2 + 8*w - 1]', '[2249, 2249, -3*w^3 + 7*w^2 + 20*w - 19]', '[2252, 1126, -5*w^3 + 6*w^2 + 6*w - 5]', '[2252, 1126, -2*w^3 + w^2 + 3*w - 5]', '[2252, 1126, 2*w^3 - 9*w^2 + 5*w + 13]', '[2252, 1126, 3*w^3 - 6*w^2 + 2*w + 7]', '[2253, 2253, -3*w^3 - 3*w^2 + 16*w + 9]', '[2253, 2253, 4*w^3 - w^2 - 14*w]', '[2276, 1138, -4*w^3 - w^2 + 13*w + 7]', '[2276, 1138, -3*w^2 + 7*w + 1]', '[2279, 2279, w^3 + 5*w^2 - 7*w - 11]', '[2279, 2279, w^3 - w^2 - 3*w - 5]', '[2279, 2279, -w^3 - w^2 + 3*w - 5]', '[2279, 2279, w^3 - 5*w^2 - 7*w + 11]', '[2284, 1142, -w^3 + 4*w^2 + 4*w - 11]', '[2284, 1142, w^3 + 4*w^2 - 4*w - 11]', '[2287, 2287, 4*w^2 - w - 11]', '[2287, 2287, 4*w^2 + w - 11]', '[2291, 2291, w^3 - 4*w^2 - 4*w + 10]', '[2291, 2291, -w^3 + 6*w + 8]', '[2291, 2291, w^3 - 6*w + 8]', '[2291, 2291, -w^3 - 4*w^2 + 4*w + 10]', '[2297, 2297, 2*w^3 - 2*w^2 - 9*w + 1]', '[2297, 2297, -2*w^3 - 2*w^2 + 9*w + 1]', '[2304, 12, -4*w^2 + 12]', '[2304, 12, -4*w^2 + 8]', '[2311, 2311, 3*w^3 + 2*w^2 - 12*w - 14]', '[2311, 2311, 3*w^3 - 2*w^2 - 12*w + 14]', '[2313, 771, w^3 - w^2 - 2*w + 11]', '[2313, 771, -w^3 - 5*w^2 + 9]', '[2313, 771, w^3 + w^2 - 2*w - 11]', '[2313, 771, -w^3 + 5*w^2 - 9]', '[2327, 2327, -3*w^3 - w^2 + 7*w + 1]', '[2327, 2327, -3*w^3 + 3*w^2 + 13*w - 17]', '[2327, 2327, 3*w^3 + 5*w^2 - 19*w - 17]', '[2327, 2327, -5*w^3 - 7*w^2 + 23*w + 25]', '[2327, 2327, 5*w^3 - 7*w^2 - 23*w + 25]', '[2327, 2327, 3*w^3 - 5*w^2 - 19*w + 17]', '[2327, 2327, 3*w^3 + 3*w^2 - 13*w - 17]', '[2327, 2327, -3*w^3 + w^2 + 7*w - 1]', '[2339, 2339, 2*w^3 + 3*w^2 - 10*w - 5]', '[2339, 2339, w^3 - 3*w^2 - 2]', '[2339, 2339, -6*w^2 + 5*w + 10]', '[2339, 2339, -2*w^3 + 3*w^2 + 10*w - 5]', '[2341, 2341, 2*w^3 + 4*w^2 - 9*w - 7]', '[2341, 2341, -2*w^3 + 3*w^2 + 13*w - 10]', '[2341, 2341, 2*w^3 + 3*w^2 - 13*w - 10]', '[2341, 2341, -2*w^3 + 4*w^2 + 9*w - 7]', '[2349, 87, 3*w^3 + 3*w^2 - 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w^2 - 20*w - 4]', '[9931, 9931, -w^3 + 2*w^2 + 3*w - 16]', '[9931, 9931, w^3 + 2*w^2 - 3*w - 16]', '[9941, 9941, -5*w^3 + w^2 + 25*w + 5]', '[9941, 9941, 5*w^3 + w^2 - 25*w + 5]', '[9957, 9957, -3*w^3 + w^2 + 4*w + 6]', '[9957, 9957, -3*w^3 - w^2 + 4*w - 6]', '[9967, 9967, 4*w^3 - 2*w^2 - 16*w - 1]', '[9967, 9967, 4*w^3 + 2*w^2 - 16*w + 1]', '[9972, 1662, w^3 - 8*w^2 + 10*w + 7]', '[9972, 1662, w^3 + 6*w - 3]', '[9972, 1662, -8*w^3 + w^2 + 31*w + 1]', '[9972, 1662, -6*w^3 + w^2 + 21*w - 9]', '[9972, 1662, -2*w^3 + 3*w^2 + 15*w - 3]', '[9972, 1662, -8*w^3 - 5*w^2 + 37*w + 19]', '[9972, 1662, -5*w^3 - 2*w^2 + 16*w + 7]', '[9972, 1662, -9*w^3 - 14*w^2 + 12*w + 9]', '[9981, 3327, w^3 - 2*w^2 - 11*w + 1]', '[9981, 3327, 4*w^3 - w^2 - 21*w]', '[9981, 3327, -w^3 - 2*w^2 + 11*w + 1]', '[9981, 3327, -4*w^3 - w^2 + 21*w]', '[9984, 156, 4*w + 12]', '[9984, 156, 4*w - 12]', '[9987, 9987, 2*w^3 + 4*w^2 - 10*w - 3]', '[9987, 9987, 2*w^3 - 4*w^2 - 10*w + 3]', '[9993, 9993, 4*w^3 + 4*w^2 - 7*w - 9]', '[9993, 9993, -4*w^3 + 4*w^2 + 7*w - 9]', '[10000, 10, -10]'], 'label': '4.4.8112.1', 'narrow_class_no': 2, 'primes': ['[3, 3, w]', '[4, 2, w^2 - w - 1]', '[9, 3, -w^2 + 2]', '[13, 13, w^3 - 4*w + 2]', '[13, 13, -w^3 + 4*w + 2]', '[17, 17, w^3 - 3*w - 1]', '[17, 17, -w^3 + 3*w - 1]', '[29, 29, w^3 + w^2 - 4*w - 2]', '[29, 29, w^3 - w^2 - 4*w + 2]', '[43, 43, w^2 + w - 4]', '[43, 43, w^2 - w - 4]', '[53, 53, w^3 - 2*w - 2]', '[53, 53, -w^3 + 2*w - 2]', '[79, 79, w^3 - w^2 - 4*w + 1]', '[79, 79, -w^3 - w^2 + 4*w + 1]', '[101, 101, -w^3 + w^2 + 3*w - 5]', '[101, 101, w^3 + w^2 - 3*w - 5]', '[103, 103, 2*w^2 - w - 4]', '[103, 103, 2*w^2 + w - 4]', '[107, 107, 2*w^2 + w - 5]', '[107, 107, 3*w^2 - 3*w - 4]', '[107, 107, 2*w^2 - 2*w - 1]', '[107, 107, 2*w^2 - w - 5]', '[113, 113, w^3 - w^2 - 5*w + 1]', '[113, 113, -w^3 - w^2 + 5*w + 1]', '[121, 11, w^3 - 2*w^2 - 3*w + 2]', '[121, 11, -2*w^3 + w^2 + 7*w - 4]', '[127, 127, -2*w^3 + 7*w - 2]', '[127, 127, 2*w^3 - 7*w - 2]', '[131, 131, w^3 - w^2 - 1]', '[131, 131, -w^3 + w^2 + 4*w + 1]', '[131, 131, -2*w^3 + 3*w^2 + 4*w - 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