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hmf_forms • Show schema
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{'deg': 5, 'dimension': 2, 'disc': 179024, 'field_bad_primes': [2, 67, 167], 'field_label': '5.5.179024.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '5.5.179024.1-17.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [17], 'level_ideal': '[17, 17, w^4 + w^3 - 8*w^2 - 6*w + 5]', 'level_label': '17.1', 'level_norm': 17, 'parallel_weight': 2, 'short_label': '17.1-b', 'weight': '[2, 2, 2, 2, 2]'}
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hmf_hecke • Show schema
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{'AL_eigenvalues': [['[17, 17, w^4 + w^3 - 8*w^2 - 6*w + 5]', 1]], 'hecke_eigenvalues': ['e', 'e', '2*e + 2', -1, 3, '4*e - 3', '-4*e + 2', '-4*e - 5', '-e - 7', '2*e + 3', 5, '-4*e - 3', '6*e + 3', 5, '4*e - 4', '3*e - 8', 'e - 8', 7, '-2*e - 6', 4, '-6*e - 14', '3*e + 6', '-e - 12', '4*e - 7', '10*e + 4', '-2*e + 3', '-7*e - 9', '-11*e - 9', '5*e + 12', 'e - 7', '-13*e - 4', '13*e + 1', '-13*e - 15', '9*e - 7', '4*e + 9', 5, '-16*e - 7', '-17*e - 4', '2*e + 19', '4*e + 3', '-3*e - 19', -23, '-12*e - 18', '-3*e + 4', '17*e + 4', '-10*e + 4', '5*e', '13*e - 2', '-8*e + 16', '-4*e - 12', '-13*e + 2', '-4*e + 1', '12*e + 9', '-6*e - 1', '-18*e + 3', '9*e - 1', '-2*e - 23', '8*e - 6', '-22*e - 3', '-12*e - 8', '9*e - 7', '-14*e - 25', '-10*e - 9', '-4*e - 1', '-4*e + 14', '4*e - 9', '-6*e - 15', '-22*e - 6', '-17*e - 4', '12*e', '8*e + 5', '12*e', '-18*e + 9', '4*e + 35', -11, '-6*e + 16', '-4*e - 3', '2*e - 6', 'e + 20', '-12*e + 17', '8*e - 2', '24*e + 15', '6*e - 19', '-5*e - 24', '10*e + 5', '-4*e + 13', '-8*e - 31', '-8*e + 10', '-15*e - 28', '-31*e - 15', '-19*e - 26', '-2*e - 6', 'e + 8', '10*e - 9', '14*e + 12', '4*e + 42', '-20*e + 5', '18*e - 7', 'e + 1', '6*e - 23', '7*e + 2', '28*e + 26', '-9*e + 20', '-3*e - 26', '-15*e - 22', '3*e + 5', '-15*e - 28', '-7*e + 16', '-31*e - 5', '8*e + 7', '2*e + 15', '-35*e - 24', '-3*e + 27', '-10*e + 13', '8*e + 21', '-16*e - 16', '-7*e + 27', '-8*e - 1', '11*e + 7', '27*e + 8', '-e - 20', '6*e + 32', '22*e + 17', '-21*e + 10', '-5*e - 1', '-3*e + 6', '-3*e - 7', '-45*e - 21', '-18*e - 20', '2*e + 4', '6*e - 35', '28*e + 27', '-30*e - 20', '2*e + 28', '8*e + 45', '-4*e + 17', '21*e + 12', '-16*e - 17', 'e - 7', '26*e + 11', '-8*e + 23', '12*e + 27', '-21*e - 20', '18*e + 29', '-27*e - 7', '-3*e - 29', '-4*e - 41', '-5*e + 5', 27, '26*e - 15', '21*e + 1', '21*e + 22', '34*e + 15', '-16*e - 6', '30*e - 9', '-42*e - 22', '-4*e - 34', '3*e + 3'], 'hecke_polynomial': 'x^2 + x - 1', 'label': '5.5.179024.1-17.1-b'}
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hmf_fields • Show schema
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{'degree': 5, 'discriminant': 179024, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, 2*w^4 + w^3 - 15*w^2 - 7*w + 7]', '[4, 2, 2*w^4 + w^3 - 15*w^2 - 8*w + 6]', '[6, 6, -4*w^4 - 2*w^3 + 31*w^2 + 15*w - 16]', '[8, 2, -2*w^4 - w^3 + 16*w^2 + 8*w - 10]', '[9, 9, 4*w^4 + 2*w^3 - 31*w^2 - 16*w + 17]', '[11, 11, 2*w^4 + w^3 - 16*w^2 - 9*w + 9]', '[12, 6, -2*w^4 - w^3 + 15*w^2 + 8*w - 8]', '[16, 2, w^4 - 8*w^2 + 6]', '[17, 17, w^4 + w^3 - 8*w^2 - 6*w + 5]', '[18, 18, 3*w^4 + 2*w^3 - 23*w^2 - 15*w + 12]', '[22, 22, -w + 2]', '[24, 6, 6*w^4 + 3*w^3 - 46*w^2 - 24*w + 22]', '[27, 27, w^4 - 8*w^2 - w + 5]', '[29, 29, w^4 - 8*w^2 + 3]', '[32, 2, 2]', '[33, 33, 5*w^4 + 3*w^3 - 39*w^2 - 23*w + 21]', '[34, 34, w^4 - 8*w^2 - w + 6]', '[36, 18, -5*w^4 - 3*w^3 + 39*w^2 + 22*w - 20]', '[43, 43, 6*w^4 + 3*w^3 - 46*w^2 - 24*w + 21]', '[43, 43, 2*w^4 + w^3 - 15*w^2 - 6*w + 7]', '[44, 22, -3*w^4 - 2*w^3 + 23*w^2 + 14*w - 12]', '[47, 47, 3*w^4 + w^3 - 23*w^2 - 9*w + 11]', '[47, 47, w^4 + w^3 - 8*w^2 - 7*w + 3]', '[48, 6, -w^4 + 8*w^2 - 4]', '[49, 7, -w^4 + 8*w^2 + 2*w - 5]', '[51, 51, -2*w^4 - w^3 + 16*w^2 + 7*w - 11]', '[53, 53, -6*w^4 - 3*w^3 + 46*w^2 + 23*w - 23]', '[53, 53, 2*w^4 + w^3 - 15*w^2 - 7*w + 5]', '[54, 54, -w^2 - w + 2]', '[58, 58, 8*w^4 + 4*w^3 - 62*w^2 - 31*w + 34]', '[59, 59, 13*w^4 + 7*w^3 - 101*w^2 - 54*w + 55]', '[64, 4, 2*w]', '[66, 66, 3*w^4 + w^3 - 23*w^2 - 9*w + 10]', '[67, 67, 5*w^4 + 3*w^3 - 39*w^2 - 23*w + 19]', '[67, 67, 4*w^4 + 2*w^3 - 32*w^2 - 16*w + 19]', '[68, 34, -5*w^4 - 2*w^3 + 39*w^2 + 16*w - 20]', '[71, 71, 4*w^4 + 3*w^3 - 31*w^2 - 22*w + 15]', '[71, 71, 9*w^4 + 5*w^3 - 70*w^2 - 38*w + 39]', '[71, 71, 4*w^4 + w^3 - 31*w^2 - 8*w + 17]', '[72, 18, -5*w^4 - 3*w^3 + 38*w^2 + 22*w - 16]', '[81, 3, -5*w^4 - 2*w^3 + 38*w^2 + 17*w - 19]', '[81, 81, -w^4 + 7*w^2 - 3]', '[83, 83, -3*w^4 - w^3 + 24*w^2 + 9*w - 13]', '[86, 86, 5*w^4 + 2*w^3 - 39*w^2 - 17*w + 20]', '[86, 86, -5*w^4 - 3*w^3 + 39*w^2 + 23*w - 20]', '[87, 87, -w^2 + w + 3]', '[88, 22, 6*w^4 + 3*w^3 - 46*w^2 - 24*w + 24]', '[89, 89, 7*w^4 + 3*w^3 - 54*w^2 - 24*w + 27]', '[89, 89, 4*w^4 + 2*w^3 - 30*w^2 - 15*w + 11]', '[94, 94, 3*w^4 + w^3 - 23*w^2 - 7*w + 10]', '[94, 94, -7*w^4 - 4*w^3 + 54*w^2 + 31*w - 28]', '[96, 6, 4*w^4 + 2*w^3 - 30*w^2 - 14*w + 14]', '[98, 14, -3*w^4 - 2*w^3 + 23*w^2 + 15*w - 8]', '[99, 99, 4*w^4 + 2*w^3 - 31*w^2 - 15*w + 19]', '[102, 102, -w^4 + 7*w^2 + w - 4]', '[106, 106, 3*w^4 + w^3 - 23*w^2 - 7*w + 12]', '[106, 106, -w^2 + w + 4]', '[107, 107, 4*w^4 + 2*w^3 - 32*w^2 - 15*w + 19]', '[108, 54, 3*w^4 + 2*w^3 - 23*w^2 - 16*w + 10]', '[109, 109, 4*w^4 + 2*w^3 - 30*w^2 - 16*w + 11]', '[113, 113, 2*w^4 + w^3 - 16*w^2 - 8*w + 13]', '[113, 113, -3*w^4 - 2*w^3 + 23*w^2 + 15*w - 13]', '[116, 58, 4*w^4 + 2*w^3 - 31*w^2 - 14*w + 16]', '[118, 118, 7*w^4 + 3*w^3 - 54*w^2 - 23*w + 26]', '[121, 121, 2*w^4 + w^3 - 15*w^2 - 9*w + 5]', '[128, 4, 4*w^4 + 2*w^3 - 30*w^2 - 16*w + 12]', '[129, 129, 2*w + 1]', '[129, 129, 5*w^4 + 2*w^3 - 38*w^2 - 16*w + 17]', '[132, 66, -6*w^4 - 3*w^3 + 47*w^2 + 22*w - 24]', '[134, 134, 3*w^4 + w^3 - 23*w^2 - 11*w + 10]', '[134, 134, 5*w^4 + 2*w^3 - 39*w^2 - 15*w + 22]', '[136, 34, 5*w^4 + 3*w^3 - 38*w^2 - 24*w + 16]', '[137, 137, -2*w^4 - w^3 + 16*w^2 + 6*w - 11]', '[139, 139, 5*w^4 + 3*w^3 - 39*w^2 - 22*w + 21]', '[139, 139, w^2 + w - 3]', '[141, 141, -5*w^4 - 3*w^3 + 38*w^2 + 22*w - 19]', '[141, 141, -w^2 - 2*w + 3]', '[142, 142, -w^4 - w^3 + 8*w^2 + 7*w - 8]', '[142, 142, 3*w^4 + w^3 - 22*w^2 - 9*w + 8]', '[142, 142, -5*w^4 - 2*w^3 + 38*w^2 + 15*w - 18]', '[144, 18, -3*w^4 - 2*w^3 + 24*w^2 + 16*w - 14]', '[147, 21, w^4 + w^3 - 7*w^2 - 8*w + 1]', '[149, 149, 2*w^4 + w^3 - 16*w^2 - 10*w + 9]', '[151, 151, w^4 + w^3 - 8*w^2 - 9*w + 5]', '[153, 153, -6*w^4 - 3*w^3 + 46*w^2 + 22*w - 23]', '[157, 157, -7*w^4 - 3*w^3 + 54*w^2 + 24*w - 25]', '[159, 159, 3*w^4 + w^3 - 23*w^2 - 10*w + 11]', '[159, 159, -3*w^4 - 2*w^3 + 23*w^2 + 13*w - 13]', '[162, 6, 5*w^4 + 2*w^3 - 38*w^2 - 17*w + 16]', '[162, 162, -2*w^4 - w^3 + 15*w^2 + 7*w - 4]', '[166, 166, 2*w^4 + w^3 - 16*w^2 - 7*w + 12]', '[167, 167, 2*w^4 + w^3 - 16*w^2 - 9*w + 11]', '[167, 167, -14*w^4 - 7*w^3 + 109*w^2 + 54*w - 59]', '[172, 86, 2*w^4 - 15*w^2 - 2*w + 8]', '[172, 86, -3*w^4 - w^3 + 23*w^2 + 10*w - 10]', '[173, 173, 6*w^4 + 3*w^3 - 46*w^2 - 23*w + 25]', '[174, 174, -4*w^4 - 2*w^3 + 31*w^2 + 17*w - 18]', '[176, 22, -3*w^4 - 2*w^3 + 24*w^2 + 14*w - 16]', '[177, 177, -6*w^4 - 4*w^3 + 47*w^2 + 31*w - 29]', '[178, 178, 3*w^4 + 2*w^3 - 24*w^2 - 15*w + 14]', '[178, 178, 2*w^4 + 2*w^3 - 15*w^2 - 13*w + 8]', '[179, 179, w^3 - 6*w + 1]', '[179, 179, 10*w^4 + 4*w^3 - 77*w^2 - 32*w + 39]', '[179, 179, -3*w^4 - 2*w^3 + 24*w^2 + 16*w - 13]', '[187, 187, 2*w^4 + w^3 - 15*w^2 - 8*w + 3]', '[188, 94, -4*w^4 - 2*w^3 + 31*w^2 + 14*w - 14]', '[188, 94, -6*w^4 - 4*w^3 + 47*w^2 + 30*w - 26]', '[191, 191, 7*w^4 + 4*w^3 - 54*w^2 - 30*w + 29]', '[192, 12, -8*w^4 - 4*w^3 + 62*w^2 + 30*w - 32]', '[193, 193, -3*w^4 - w^3 + 24*w^2 + 8*w - 15]', '[196, 14, -5*w^4 - 3*w^3 + 39*w^2 + 22*w - 22]', '[197, 197, 7*w^4 + 3*w^3 - 54*w^2 - 26*w + 29]', '[197, 197, -w^4 - w^3 + 8*w^2 + 6*w - 7]', '[198, 198, -2*w^4 + 16*w^2 + w - 12]', '[199, 199, -2*w^4 - w^3 + 15*w^2 + 6*w - 5]', '[199, 199, 2*w^4 + 2*w^3 - 15*w^2 - 15*w + 3]', '[201, 201, -6*w^4 - 4*w^3 + 45*w^2 + 28*w - 21]', '[201, 201, 5*w^4 + 2*w^3 - 38*w^2 - 18*w + 19]', '[204, 102, -3*w^4 - 2*w^3 + 23*w^2 + 14*w - 8]', '[212, 106, 11*w^4 + 6*w^3 - 85*w^2 - 46*w + 40]', '[212, 106, -9*w^4 - 5*w^3 + 69*w^2 + 38*w - 34]', '[213, 213, -8*w^4 - 5*w^3 + 62*w^2 + 39*w - 31]', '[213, 213, 4*w^4 + 3*w^3 - 32*w^2 - 23*w + 21]', '[213, 213, 3*w^4 - 23*w^2 - w + 9]', '[214, 214, 2*w^4 - 15*w^2 - 5*w + 8]', '[216, 54, 4*w^4 + w^3 - 30*w^2 - 8*w + 12]', '[218, 218, 2*w^4 + 2*w^3 - 16*w^2 - 13*w + 8]', '[226, 226, w^4 - 8*w^2 + w + 4]', '[226, 226, 7*w^4 + 4*w^3 - 55*w^2 - 29*w + 30]', '[227, 227, 3*w^4 + w^3 - 23*w^2 - 10*w + 15]', '[229, 229, -7*w^4 - 4*w^3 + 53*w^2 + 31*w - 21]', '[229, 229, -4*w^4 - 2*w^3 + 31*w^2 + 17*w - 17]', '[229, 229, -10*w^4 - 6*w^3 + 78*w^2 + 46*w - 43]', '[232, 58, -9*w^4 - 5*w^3 + 70*w^2 + 38*w - 36]', '[233, 233, -w^4 + 7*w^2 + w + 1]', '[236, 118, 3*w^4 + 2*w^3 - 23*w^2 - 16*w + 14]', '[239, 239, w^2 - 3]', '[241, 241, 8*w^4 + 4*w^3 - 62*w^2 - 30*w + 31]', '[242, 242, 3*w^4 + 2*w^3 - 23*w^2 - 15*w + 14]', '[243, 3, 3]', '[243, 243, 11*w^4 + 5*w^3 - 85*w^2 - 39*w + 45]', '[249, 249, 6*w^4 + 3*w^3 - 46*w^2 - 25*w + 23]', '[256, 4, -4*w^4 - 2*w^3 + 32*w^2 + 16*w - 20]', '[257, 257, -2*w^4 - 2*w^3 + 15*w^2 + 14*w - 3]', '[258, 258, 7*w^4 + 4*w^3 - 53*w^2 - 31*w + 22]', '[258, 258, -2*w^4 - w^3 + 15*w^2 + 7*w - 10]', '[261, 261, 6*w^4 + 3*w^3 - 47*w^2 - 24*w + 23]', '[264, 66, -w^4 - w^3 + 8*w^2 + 8*w - 2]', '[267, 267, -w^2 - w + 5]', '[267, 267, -9*w^4 - 4*w^3 + 70*w^2 + 34*w - 31]', '[268, 134, -14*w^4 - 8*w^3 + 107*w^2 + 62*w - 50]', '[268, 134, 2*w^4 + w^3 - 15*w^2 - 8*w + 10]', '[269, 269, 7*w^4 + 4*w^3 - 55*w^2 - 30*w + 31]', '[269, 269, -5*w^4 - 3*w^3 + 38*w^2 + 23*w - 19]', '[269, 269, 6*w^4 + 2*w^3 - 47*w^2 - 16*w + 27]', '[272, 34, 5*w^4 + 2*w^3 - 38*w^2 - 16*w + 18]', '[274, 274, -w^4 + 6*w^2 + w - 4]', '[277, 277, -6*w^4 - 2*w^3 + 47*w^2 + 18*w - 25]', '[278, 278, 3*w^4 + w^3 - 22*w^2 - 9*w + 10]', '[278, 278, -w^3 - w^2 + 3*w]', '[281, 281, -10*w^4 - 4*w^3 + 77*w^2 + 30*w - 41]', '[282, 282, 9*w^4 + 5*w^3 - 70*w^2 - 37*w + 36]', '[282, 282, -4*w^4 - 2*w^3 + 32*w^2 + 15*w - 20]', '[284, 142, -15*w^4 - 9*w^3 + 115*w^2 + 70*w - 54]', '[284, 142, -2*w^4 - 2*w^3 + 15*w^2 + 12*w - 10]', '[284, 142, -w^4 + 7*w^2 - 2*w - 2]', '[288, 18, 8*w^4 + 4*w^3 - 62*w^2 - 32*w + 34]', '[289, 289, 8*w^4 + 4*w^3 - 62*w^2 - 32*w + 33]', '[294, 42, 6*w^4 + 2*w^3 - 46*w^2 - 17*w + 22]', '[297, 297, -11*w^4 - 6*w^3 + 85*w^2 + 45*w - 41]', '[298, 298, -8*w^4 - 4*w^3 + 61*w^2 + 31*w - 28]', '[302, 302, w^4 - 9*w^2 - w + 2]', '[306, 306, -3*w^4 - 2*w^3 + 22*w^2 + 13*w - 12]', '[307, 307, 5*w^4 + 2*w^3 - 38*w^2 - 16*w + 19]', '[313, 313, 18*w^4 + 9*w^3 - 139*w^2 - 69*w + 71]', '[313, 313, -16*w^4 - 8*w^3 + 123*w^2 + 62*w - 57]', '[314, 314, -3*w^4 - 2*w^3 + 24*w^2 + 17*w - 14]', '[317, 317, -8*w^4 - 3*w^3 + 61*w^2 + 24*w - 27]', '[317, 317, 10*w^4 + 5*w^3 - 77*w^2 - 40*w + 41]', '[318, 318, -9*w^4 - 5*w^3 + 69*w^2 + 39*w - 34]', '[318, 318, 8*w^4 + 4*w^3 - 62*w^2 - 31*w + 30]', '[319, 319, -5*w^4 - 3*w^3 + 38*w^2 + 22*w - 15]', '[321, 321, 5*w^4 + 2*w^3 - 40*w^2 - 18*w + 21]', '[324, 6, 2*w^4 + 2*w^3 - 17*w^2 - 14*w + 10]', '[324, 162, -5*w^4 - 2*w^3 + 39*w^2 + 18*w - 20]', '[327, 327, -10*w^4 - 5*w^3 + 77*w^2 + 39*w - 35]', '[331, 331, 5*w^4 + 2*w^3 - 39*w^2 - 16*w + 19]', '[331, 331, -19*w^4 - 10*w^3 + 147*w^2 + 77*w - 73]', '[332, 166, w^4 - 7*w^2 + 4]', '[334, 334, -7*w^4 - 3*w^3 + 54*w^2 + 25*w - 28]', '[334, 334, w^4 - 9*w^2 - w + 4]', '[337, 337, 4*w^4 + 2*w^3 - 30*w^2 - 16*w + 9]', '[339, 339, 9*w^4 + 4*w^3 - 69*w^2 - 31*w + 33]', '[339, 339, 3*w^4 + w^3 - 24*w^2 - 8*w + 19]', '[343, 7, -13*w^4 - 6*w^3 + 101*w^2 + 47*w - 53]', '[344, 86, -6*w^4 - 3*w^3 + 46*w^2 + 22*w - 22]', '[344, 86, 5*w^4 + 3*w^3 - 38*w^2 - 24*w + 14]', '[346, 346, 3*w^4 + 2*w^3 - 23*w^2 - 11*w + 12]', '[347, 347, -5*w^4 - 3*w^3 + 39*w^2 + 24*w - 21]', '[347, 347, -9*w^4 - 5*w^3 + 70*w^2 + 39*w - 39]', '[348, 174, 9*w^4 + 4*w^3 - 69*w^2 - 32*w + 34]', '[349, 349, w^4 - 9*w^2 + w + 9]', '[352, 22, 4*w^4 + 2*w^3 - 32*w^2 - 18*w + 18]', '[353, 353, 2*w^4 - 16*w^2 - 2*w + 9]', '[354, 354, -w^4 + 7*w^2 + w + 2]', '[356, 178, -10*w^4 - 5*w^3 + 77*w^2 + 38*w - 36]', '[356, 178, -15*w^4 - 8*w^3 + 115*w^2 + 62*w - 50]', '[358, 358, w^4 - 6*w^2 + w]', '[358, 358, -2*w^4 + 16*w^2 + 5*w - 6]', '[358, 358, 4*w^4 + 3*w^3 - 32*w^2 - 21*w + 20]', '[363, 363, -4*w^4 - w^3 + 31*w^2 + 8*w - 13]', '[367, 367, 9*w^4 + 4*w^3 - 70*w^2 - 30*w + 37]', '[374, 374, w^4 + w^3 - 8*w^2 - 9*w + 4]', '[376, 94, -7*w^4 - 3*w^3 + 54*w^2 + 22*w - 28]', '[376, 94, 3*w^4 + w^3 - 24*w^2 - 8*w + 14]', '[382, 382, -4*w^4 - 2*w^3 + 30*w^2 + 13*w - 14]', '[383, 383, 5*w^4 + 3*w^3 - 39*w^2 - 21*w + 21]', '[384, 12, -4*w^4 - 2*w^3 + 30*w^2 + 16*w - 16]', '[386, 386, -2*w^4 - 2*w^3 + 17*w^2 + 13*w - 10]', '[387, 387, -4*w^4 - 3*w^3 + 31*w^2 + 22*w - 13]', '[387, 387, 3*w^4 + w^3 - 24*w^2 - 8*w + 13]', '[389, 389, -w^4 + 8*w^2 + 2*w - 7]', '[392, 14, -3*w^4 - w^3 + 22*w^2 + 8*w - 10]', '[394, 394, -3*w^4 - 2*w^3 + 26*w^2 + 13*w - 14]', '[394, 394, -w^4 + 6*w^2 - w - 2]', '[396, 198, w^2 - 4]', '[397, 397, -8*w^4 - 4*w^3 + 63*w^2 + 31*w - 35]', '[397, 397, -6*w^4 - 3*w^3 + 47*w^2 + 25*w - 25]', '[398, 398, -w^4 - w^3 + 6*w^2 + 7*w - 4]', '[398, 398, 2*w^4 + w^3 - 15*w^2 - 9*w + 4]', '[401, 401, w^2 - 5]', '[402, 402, 6*w^4 + 4*w^3 - 46*w^2 - 29*w + 20]', '[402, 402, -3*w^4 - w^3 + 24*w^2 + 7*w - 12]', '[408, 102, -4*w^4 - 3*w^3 + 32*w^2 + 22*w - 20]', '[411, 411, -7*w^4 - 4*w^3 + 53*w^2 + 27*w - 27]', '[417, 417, 4*w^4 + w^3 - 33*w^2 - 14*w + 15]', '[417, 417, -w^4 - w^3 + 8*w^2 + 9*w - 3]', '[419, 419, -4*w^4 - 2*w^3 + 32*w^2 + 18*w - 19]', '[419, 419, 6*w^4 + 3*w^3 - 46*w^2 - 22*w + 21]', '[423, 423, -9*w^4 - 4*w^3 + 69*w^2 + 33*w - 35]', '[423, 423, -3*w^4 - w^3 + 22*w^2 + 8*w - 5]', '[424, 106, w^3 - 6*w]', '[424, 106, w^4 + w^3 - 8*w^2 - 6*w + 8]', '[426, 426, -5*w^4 - 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32*w^2 - 12*w + 15]', '[501, 501, 7*w^4 + 4*w^3 - 55*w^2 - 29*w + 31]', '[503, 503, -4*w^4 - 2*w^3 + 30*w^2 + 18*w - 17]', '[509, 509, -5*w^4 - 2*w^3 + 40*w^2 + 15*w - 25]', '[509, 509, -9*w^4 - 3*w^3 + 71*w^2 + 24*w - 45]', '[512, 4, 2*w^4 - 16*w^2 + 12]', '[514, 514, -2*w^4 - w^3 + 14*w^2 + 9*w - 4]', '[516, 258, 5*w^4 + 3*w^3 - 39*w^2 - 24*w + 22]', '[516, 258, -2*w^4 - 2*w^3 + 15*w^2 + 14*w - 4]', '[517, 517, -5*w^4 - 2*w^3 + 39*w^2 + 18*w - 19]', '[517, 517, 3*w^4 + w^3 - 22*w^2 - 6*w + 11]', '[519, 519, 2*w^4 + w^3 - 14*w^2 - 4*w + 9]', '[521, 521, 4*w^4 + 2*w^3 - 32*w^2 - 16*w + 23]', '[522, 522, -2*w^4 + 16*w^2 + 3*w - 8]', '[528, 66, -5*w^4 - 2*w^3 + 38*w^2 + 14*w - 18]', '[529, 23, 4*w^4 + 3*w^3 - 31*w^2 - 21*w + 17]', '[531, 531, -2*w^4 + w^3 + 15*w^2 - 6*w - 5]', '[534, 534, -9*w^4 - 4*w^3 + 71*w^2 + 31*w - 44]', '[534, 534, 14*w^4 + 7*w^3 - 108*w^2 - 55*w + 52]', '[536, 134, -5*w^4 - 3*w^3 + 38*w^2 + 22*w - 20]', '[536, 134, w^4 + w^3 - 8*w^2 - 2*w + 4]', '[537, 537, 3*w^4 + 3*w^3 - 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10*w^3 + 163*w^2 + 77*w - 86]', '[678, 678, w^4 - 8*w^2 + w + 6]', '[681, 681, -7*w^4 - 3*w^3 + 54*w^2 + 25*w - 27]', '[683, 683, -14*w^4 - 6*w^3 + 108*w^2 + 47*w - 55]', '[686, 14, -6*w^4 - 3*w^3 + 47*w^2 + 25*w - 26]', '[687, 687, -10*w^4 - 5*w^3 + 77*w^2 + 39*w - 41]', '[687, 687, w^3 + w^2 - 4*w - 1]', '[687, 687, 4*w^4 + 4*w^3 - 32*w^2 - 29*w + 23]', '[688, 86, -3*w^4 - 2*w^3 + 22*w^2 + 14*w - 12]', '[688, 86, 7*w^4 + 4*w^3 - 54*w^2 - 30*w + 30]', '[692, 346, -7*w^4 - 4*w^3 + 55*w^2 + 30*w - 28]', '[694, 694, 3*w^4 + w^3 - 24*w^2 - 9*w + 10]', '[694, 694, -5*w^4 - 2*w^3 + 39*w^2 + 15*w - 18]', '[696, 174, 4*w^4 + 3*w^3 - 30*w^2 - 22*w + 12]', '[698, 698, -15*w^4 - 8*w^3 + 115*w^2 + 61*w - 56]', '[699, 699, 7*w^4 + 3*w^3 - 53*w^2 - 22*w + 23]', '[701, 701, 13*w^4 + 7*w^3 - 100*w^2 - 53*w + 51]', '[704, 44, -2*w + 4]', '[706, 706, 7*w^4 + 4*w^3 - 53*w^2 - 31*w + 18]', '[708, 354, -7*w^4 - 3*w^3 + 55*w^2 + 24*w - 36]', '[709, 709, 10*w^4 + 6*w^3 - 77*w^2 - 44*w + 37]', '[712, 178, -16*w^4 - 7*w^3 + 124*w^2 + 54*w - 66]', '[712, 178, w^4 + w^3 - 8*w^2 - 6*w + 10]', '[716, 358, -4*w^4 - 3*w^3 + 31*w^2 + 24*w - 16]', '[716, 358, 3*w^4 - 21*w^2 - 4*w + 8]', '[716, 358, 8*w^4 + 5*w^3 - 61*w^2 - 38*w + 30]', '[717, 717, -5*w^4 - 2*w^3 + 40*w^2 + 19*w - 19]', '[719, 719, -9*w^4 - 4*w^3 + 69*w^2 + 32*w - 35]', '[719, 719, 7*w^4 + 4*w^3 - 54*w^2 - 28*w + 31]', '[719, 719, 12*w^4 + 6*w^3 - 93*w^2 - 45*w + 49]', '[723, 723, -2*w^4 - w^3 + 15*w^2 + 9*w - 3]', '[726, 726, 12*w^4 + 6*w^3 - 92*w^2 - 47*w + 46]', '[727, 727, -7*w^4 - 3*w^3 + 53*w^2 + 25*w - 25]', '[729, 9, 3*w^4 + 3*w^3 - 24*w^2 - 24*w + 15]', '[729, 729, -6*w^4 - 2*w^3 + 46*w^2 + 18*w - 23]', '[731, 731, 2*w^4 + 2*w^3 - 15*w^2 - 15*w + 7]', '[731, 731, 4*w^4 + 2*w^3 - 32*w^2 - 17*w + 21]', '[733, 733, 6*w^4 + 3*w^3 - 46*w^2 - 25*w + 19]', '[734, 734, -15*w^4 - 8*w^3 + 117*w^2 + 61*w - 64]', '[737, 737, -3*w^4 - w^3 + 24*w^2 + 12*w - 9]', '[737, 737, 7*w^4 + 3*w^3 - 53*w^2 - 26*w + 29]', '[747, 747, -4*w^4 - 3*w^3 + 30*w^2 + 20*w - 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54*w^2 - 32*w + 28]', '[788, 394, 8*w^4 + 5*w^3 - 63*w^2 - 34*w + 32]', '[788, 394, -2*w^4 - w^3 + 15*w^2 + 6*w - 4]', '[792, 198, w^3 - 4*w]', '[794, 794, 19*w^4 + 10*w^3 - 146*w^2 - 77*w + 70]', '[794, 794, -4*w^4 - w^3 + 31*w^2 + 13*w - 16]', '[796, 398, 7*w^4 + 3*w^3 - 53*w^2 - 26*w + 22]', '[796, 398, w^4 + w^3 - 9*w^2 - 8*w + 4]', '[799, 799, w^4 + 2*w^3 - 8*w^2 - 14*w + 3]', '[799, 799, -5*w^4 - 3*w^3 + 37*w^2 + 21*w - 15]', '[801, 801, -12*w^4 - 7*w^3 + 93*w^2 + 53*w - 49]', '[801, 801, 13*w^4 + 5*w^3 - 101*w^2 - 40*w + 57]', '[802, 802, w^3 - 5*w]', '[804, 402, 4*w^4 + 2*w^3 - 29*w^2 - 16*w + 12]', '[804, 402, 4*w^4 + 2*w^3 - 29*w^2 - 12*w + 14]', '[807, 807, 2*w^4 - 16*w^2 - w + 9]', '[807, 807, -5*w^4 - 3*w^3 + 40*w^2 + 26*w - 19]', '[807, 807, -4*w^4 - w^3 + 31*w^2 + 7*w - 15]', '[809, 809, -8*w^4 - 5*w^3 + 63*w^2 + 36*w - 33]', '[809, 809, -7*w^4 - 3*w^3 + 55*w^2 + 25*w - 33]', '[809, 809, -5*w^4 - 4*w^3 + 38*w^2 + 30*w - 13]', '[811, 811, 9*w^4 + 4*w^3 - 70*w^2 - 33*w + 35]', '[816, 102, -w^4 + 8*w^2 + 2*w]', '[821, 821, -6*w^4 - 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51]', '[1622, 1622, 4*w^4 + 2*w^3 - 33*w^2 - 19*w + 18]', '[1623, 1623, -6*w^4 - 4*w^3 + 46*w^2 + 31*w - 25]', '[1627, 1627, 33*w^4 + 16*w^3 - 256*w^2 - 125*w + 135]', '[1627, 1627, -21*w^4 - 9*w^3 + 162*w^2 + 71*w - 81]', '[1632, 102, -4*w^4 - 2*w^3 + 32*w^2 + 14*w - 22]', '[1637, 1637, -w^4 + 9*w^2 - 7]', '[1637, 1637, -w^2 + w + 7]', '[1637, 1637, -26*w^4 - 14*w^3 + 201*w^2 + 108*w - 99]', '[1639, 1639, 7*w^4 + 3*w^3 - 54*w^2 - 22*w + 25]', '[1641, 1641, -5*w^4 - 4*w^3 + 38*w^2 + 29*w - 13]', '[1641, 1641, -3*w^4 - w^3 + 26*w^2 + 13*w - 17]', '[1642, 1642, -3*w^4 - 3*w^3 + 23*w^2 + 15*w - 12]', '[1644, 822, 8*w^4 + 5*w^3 - 63*w^2 - 32*w + 34]', '[1646, 1646, -3*w^4 - w^3 + 25*w^2 + 7*w - 12]', '[1654, 1654, 6*w^4 + 4*w^3 - 45*w^2 - 27*w + 24]', '[1661, 1661, -3*w^4 + 25*w^2 + 6*w - 9]', '[1662, 1662, -3*w^4 - 2*w^3 + 24*w^2 + 17*w - 18]', '[1663, 1663, 5*w^4 + 2*w^3 - 39*w^2 - 14*w + 23]', '[1666, 238, -4*w^4 - w^3 + 31*w^2 + 7*w - 16]', '[1668, 834, -4*w^4 - 2*w^3 + 33*w^2 + 18*w - 18]', '[1668, 834, -w^4 - w^3 + 9*w^2 + 4*w - 8]', '[1676, 838, 4*w^4 + 3*w^3 - 31*w^2 - 20*w + 18]', '[1676, 838, 14*w^4 + 7*w^3 - 107*w^2 - 56*w + 48]', '[1682, 58, w^4 - 11*w^2 - 3*w + 6]', '[1682, 58, -2*w^4 - w^3 + 12*w^2 + 5*w - 4]', '[1682, 1682, 6*w^4 + 4*w^3 - 47*w^2 - 31*w + 22]', '[1683, 1683, -9*w^4 - 6*w^3 + 69*w^2 + 44*w - 29]', '[1686, 1686, -28*w^4 - 14*w^3 + 218*w^2 + 107*w - 118]', '[1689, 1689, w^4 + w^3 - 9*w^2 - 12*w + 1]', '[1689, 1689, 17*w^4 + 9*w^3 - 130*w^2 - 68*w + 61]', '[1689, 1689, 10*w^4 + 5*w^3 - 78*w^2 - 39*w + 39]', '[1692, 846, -7*w^4 - 3*w^3 + 53*w^2 + 22*w - 26]', '[1692, 846, -w^4 + 9*w^2 - 2*w - 6]', '[1696, 106, -12*w^4 - 6*w^3 + 92*w^2 + 46*w - 46]', '[1696, 106, 4*w^4 + 2*w^3 - 30*w^2 - 14*w + 10]', '[1697, 1697, -w^4 - 2*w^3 + 8*w^2 + 13*w - 5]', '[1697, 1697, 6*w^4 + 4*w^3 - 48*w^2 - 28*w + 31]', '[1699, 1699, -2*w^4 - 2*w^3 + 16*w^2 + 15*w - 7]', '[1699, 1699, -9*w^4 - 4*w^3 + 69*w^2 + 30*w - 33]', '[1704, 426, -30*w^4 - 17*w^3 + 230*w^2 + 132*w - 108]', '[1704, 426, 3*w^4 + w^3 - 22*w^2 - 6*w + 12]', '[1704, 426, 5*w^4 + 3*w^3 - 38*w^2 - 22*w + 22]', '[1706, 1706, -w^4 - 2*w^3 + 7*w^2 + 13*w - 6]', '[1707, 1707, -2*w^4 - w^3 + 14*w^2 + 7*w - 3]', '[1709, 1709, -16*w^4 - 8*w^3 + 123*w^2 + 63*w - 59]', '[1711, 1711, w^4 - 6*w^2 - 2*w - 3]', '[1712, 214, 19*w^4 + 8*w^3 - 148*w^2 - 64*w + 84]', '[1714, 1714, -w^4 + 6*w^2 - 3*w + 2]', '[1718, 1718, -2*w^4 + 16*w^2 + 3*w - 10]', '[1718, 1718, -4*w^4 - w^3 + 28*w^2 + 11*w - 14]', '[1719, 1719, -9*w^4 - 4*w^3 + 71*w^2 + 32*w - 45]', '[1721, 1721, -12*w^4 - 6*w^3 + 93*w^2 + 47*w - 45]', '[1721, 1721, 7*w^4 + 5*w^3 - 55*w^2 - 37*w + 27]', '[1723, 1723, -2*w^4 - 2*w^3 + 15*w^2 + 16*w - 5]', '[1727, 1727, -2*w^4 + 14*w^2 - 3*w - 7]', '[1728, 108, -2*w^2 - 2*w + 4]', '[1731, 1731, -6*w^4 - 3*w^3 + 47*w^2 + 22*w - 21]', '[1732, 866, -3*w^2 + 4]', '[1732, 866, 2*w^4 + w^3 - 13*w^2 - 8*w + 4]', '[1732, 866, 3*w^4 + 3*w^3 - 25*w^2 - 24*w + 18]', '[1733, 1733, 3*w^4 + 2*w^3 - 25*w^2 - 14*w + 21]', '[1734, 1734, 11*w^4 + 5*w^3 - 84*w^2 - 41*w + 40]', '[1737, 1737, -w^4 + w^3 + 7*w^2 - 5*w - 5]', '[1741, 1741, 4*w^4 + w^3 - 30*w^2 - 10*w + 19]', '[1741, 1741, -10*w^4 - 7*w^3 + 76*w^2 + 53*w - 27]', '[1744, 218, 11*w^4 + 8*w^3 - 84*w^2 - 60*w + 34]', '[1747, 1747, -5*w^4 - w^3 + 39*w^2 + 9*w - 19]', '[1747, 1747, 6*w^4 + 4*w^3 - 48*w^2 - 29*w + 29]', '[1747, 1747, -8*w^4 - 4*w^3 + 62*w^2 + 29*w - 29]', '[1749, 1749, 8*w^4 + 5*w^3 - 63*w^2 - 36*w + 35]', '[1749, 1749, -10*w^4 - 4*w^3 + 77*w^2 + 33*w - 39]', '[1753, 1753, w^4 - 8*w^2 - 4*w + 1]', '[1754, 1754, -7*w^4 - 3*w^3 + 55*w^2 + 23*w - 28]', '[1754, 1754, 3*w^4 + w^3 - 22*w^2 - 9*w + 4]', '[1759, 1759, -5*w^4 - 3*w^3 + 39*w^2 + 24*w - 15]', '[1759, 1759, -6*w^4 - 4*w^3 + 46*w^2 + 30*w - 25]', '[1761, 1761, -w^4 + w^3 + 9*w^2 - 4*w - 5]', '[1761, 1761, 20*w^4 + 12*w^3 - 154*w^2 - 91*w + 69]', '[1762, 1762, -3*w^4 - 3*w^3 + 23*w^2 + 19*w - 16]', '[1764, 126, -10*w^4 - 5*w^3 + 79*w^2 + 38*w - 48]', '[1766, 1766, 3*w^4 + 3*w^3 - 25*w^2 - 21*w + 14]', '[1773, 1773, -17*w^4 - 7*w^3 + 131*w^2 + 58*w - 75]', '[1773, 1773, -9*w^4 - 5*w^3 + 71*w^2 + 38*w - 41]', '[1779, 1779, 3*w^4 + 3*w^3 - 23*w^2 - 21*w + 5]', '[1779, 1779, -w^4 + 11*w^2 + 8*w - 9]', '[1782, 66, -2*w^4 - 2*w^3 + 17*w^2 + 17*w - 10]', '[1782, 1782, 6*w^4 + 4*w^3 - 46*w^2 - 29*w + 26]', '[1788, 894, -7*w^4 - 4*w^3 + 53*w^2 + 32*w - 20]', '[1789, 1789, w^3 - w^2 - 7*w + 9]', '[1791, 1791, 5*w^4 + 3*w^3 - 38*w^2 - 24*w + 21]', '[1791, 1791, 7*w^4 + 4*w^3 - 55*w^2 - 33*w + 29]', '[1797, 1797, 8*w^4 + 6*w^3 - 59*w^2 - 39*w + 27]', '[1801, 1801, 4*w^4 + 2*w^3 - 33*w^2 - 14*w + 21]', '[1802, 1802, 4*w^4 + 3*w^3 - 31*w^2 - 23*w + 12]', '[1802, 1802, -9*w^4 - 5*w^3 + 68*w^2 + 39*w - 28]', '[1808, 226, 13*w^4 + 4*w^3 - 102*w^2 - 32*w + 62]', '[1808, 226, -13*w^4 - 6*w^3 + 100*w^2 + 46*w - 48]', '[1809, 1809, 11*w^4 + 6*w^3 - 84*w^2 - 44*w + 39]', '[1809, 1809, 5*w^4 + w^3 - 37*w^2 - 8*w + 15]', '[1811, 1811, -6*w^4 - 3*w^3 + 45*w^2 + 20*w - 19]', '[1811, 1811, -18*w^4 - 9*w^3 + 138*w^2 + 69*w - 65]', '[1811, 1811, 12*w^4 + 6*w^3 - 91*w^2 - 47*w + 37]', '[1812, 906, 3*w^4 + 2*w^3 - 23*w^2 - 10*w + 10]', '[1816, 454, w^4 - w^3 - 8*w^2 + 6*w + 6]', '[1819, 1819, 4*w^4 + w^3 - 30*w^2 - 15*w + 17]', '[1821, 1821, 7*w^4 + 4*w^3 - 56*w^2 - 29*w + 35]', '[1821, 1821, 13*w^4 + 8*w^3 - 99*w^2 - 61*w + 43]', '[1821, 1821, -w^4 - 2*w^3 + 8*w^2 + 12*w - 11]', '[1826, 1826, -5*w^4 - 2*w^3 + 39*w^2 + 13*w - 20]', '[1828, 914, -5*w^4 - 2*w^3 + 37*w^2 + 14*w - 18]', '[1828, 914, -3*w^4 - 2*w^3 + 25*w^2 + 16*w - 14]', '[1828, 914, -7*w^4 - 5*w^3 + 55*w^2 + 36*w - 26]', '[1831, 1831, -5*w^4 - 3*w^3 + 39*w^2 + 21*w - 15]', '[1832, 458, -2*w^4 - w^3 + 18*w^2 + 10*w - 12]', '[1832, 458, 9*w^4 + 5*w^3 - 70*w^2 - 36*w + 40]', '[1832, 458, 11*w^4 + 5*w^3 - 84*w^2 - 38*w + 36]', '[1836, 918, -5*w^4 - 2*w^3 + 37*w^2 + 16*w - 16]', '[1837, 1837, 6*w^4 + 4*w^3 - 45*w^2 - 26*w + 27]', '[1837, 1837, 13*w^4 + 6*w^3 - 102*w^2 - 45*w + 55]', '[1839, 1839, -3*w^4 - 2*w^3 + 25*w^2 + 15*w - 17]', '[1839, 1839, -10*w^4 - 6*w^3 + 76*w^2 + 42*w - 39]', '[1842, 1842, -8*w^4 - 4*w^3 + 63*w^2 + 29*w - 38]', '[1847, 1847, -11*w^4 - 6*w^3 + 85*w^2 + 44*w - 47]', '[1849, 43, -4*w^4 - 2*w^3 + 29*w^2 + 14*w - 11]', '[1849, 1849, 2*w^4 + w^3 - 14*w^2 - 7*w + 1]', '[1849, 1849, -8*w^4 - 5*w^3 + 63*w^2 + 37*w - 35]', '[1851, 1851, -3*w^4 - w^3 + 23*w^2 + 10*w - 17]', '[1852, 926, 2*w^4 + w^3 - 17*w^2 - 10*w + 14]', '[1853, 1853, -5*w^4 - 3*w^3 + 38*w^2 + 26*w - 21]', '[1856, 116, 16*w^4 + 8*w^3 - 124*w^2 - 62*w + 68]', '[1857, 1857, -11*w^4 - 7*w^3 + 86*w^2 + 54*w - 47]', '[1858, 1858, -3*w^4 - w^3 + 23*w^2 + 11*w - 8]', '[1861, 1861, 15*w^4 + 6*w^3 - 117*w^2 - 47*w + 69]', '[1861, 1861, 15*w^4 + 8*w^3 - 115*w^2 - 60*w + 55]', '[1861, 1861, -20*w^4 - 10*w^3 + 154*w^2 + 78*w - 77]', '[1864, 466, -5*w^4 - 3*w^3 + 40*w^2 + 24*w - 28]', '[1867, 1867, 5*w^4 + 3*w^3 - 38*w^2 - 23*w + 21]', '[1873, 1873, w^4 + w^3 - 6*w^2 - 12*w + 3]', '[1873, 1873, 7*w^4 + 3*w^3 - 53*w^2 - 24*w + 27]', '[1873, 1873, -12*w^4 - 6*w^3 + 93*w^2 + 45*w - 47]', '[1873, 1873, 12*w^4 + 6*w^3 - 93*w^2 - 48*w + 49]', '[1873, 1873, -15*w^4 - 8*w^3 + 117*w^2 + 63*w - 63]', '[1877, 1877, -2*w^4 + 15*w^2 + 2*w - 13]', '[1877, 1877, -2*w^4 - w^3 + 14*w^2 + 8*w - 3]', '[1877, 1877, 6*w^4 + 4*w^3 - 47*w^2 - 28*w + 25]', '[1878, 1878, -2*w^4 - w^3 + 18*w^2 + 15*w - 6]', '[1878, 1878, 8*w^4 + 6*w^3 - 61*w^2 - 43*w + 30]', '[1879, 1879, 9*w^4 + 3*w^3 - 70*w^2 - 25*w + 39]', '[1884, 942, -w^3 - w^2 + 6*w + 2]', '[1888, 118, 26*w^4 + 14*w^3 - 202*w^2 - 108*w + 110]', '[1889, 1889, 9*w^4 + 5*w^3 - 69*w^2 - 37*w + 37]', '[1892, 946, 8*w^4 + 3*w^3 - 61*w^2 - 24*w + 30]', '[1892, 946, 5*w^4 + 2*w^3 - 39*w^2 - 16*w + 26]', '[1894, 1894, -6*w^4 - w^3 + 45*w^2 + 11*w - 18]', '[1894, 1894, -w^4 - w^3 + 7*w^2 + 5*w]', '[1901, 1901, w^4 + w^3 - 8*w^2 - 3*w + 7]', '[1901, 1901, -4*w^4 + 31*w^2 + w - 15]', '[1902, 1902, w^4 + 2*w^3 - 9*w^2 - 17*w + 8]', '[1902, 1902, -12*w^4 - 5*w^3 + 95*w^2 + 37*w - 58]', '[1903, 1903, 6*w^4 + 2*w^3 - 49*w^2 - 22*w + 29]', '[1906, 1906, 2*w^4 - 16*w^2 - 7*w + 10]', '[1907, 1907, 16*w^4 + 8*w^3 - 124*w^2 - 64*w + 61]', '[1908, 954, w^3 + w^2 - 6*w - 8]', '[1908, 954, 6*w^4 + 2*w^3 - 45*w^2 - 14*w + 18]', '[1912, 478, 6*w^4 + 3*w^3 - 46*w^2 - 22*w + 28]', '[1914, 1914, -19*w^4 - 10*w^3 + 147*w^2 + 77*w - 72]', '[1917, 1917, 14*w^4 + 5*w^3 - 108*w^2 - 39*w + 53]', '[1917, 1917, 8*w^4 + 4*w^3 - 61*w^2 - 31*w + 23]', '[1917, 1917, 10*w^4 + 6*w^3 - 79*w^2 - 45*w + 51]', '[1921, 1921, 5*w^4 + 4*w^3 - 40*w^2 - 28*w + 25]', '[1921, 1921, -21*w^4 - 11*w^3 + 163*w^2 + 85*w - 85]', '[1922, 62, -3*w^4 - w^3 + 23*w^2 + 9*w - 6]', '[1926, 1926, 5*w^4 + 3*w^3 - 40*w^2 - 23*w + 22]', '[1928, 482, -16*w^4 - 7*w^3 + 124*w^2 + 56*w - 66]', '[1929, 1929, 16*w^4 + 8*w^3 - 122*w^2 - 64*w + 57]', '[1931, 1931, w^4 - w^3 - 8*w^2 + 6*w + 7]', '[1933, 1933, 9*w^4 + 4*w^3 - 69*w^2 - 33*w + 33]', '[1933, 1933, -2*w^4 - w^3 + 18*w^2 + 3*w - 13]', '[1933, 1933, 6*w^4 + 3*w^3 - 46*w^2 - 21*w + 21]', '[1936, 242, 5*w^4 + 4*w^3 - 38*w^2 - 30*w + 12]', '[1941, 1941, -4*w^4 - 3*w^3 + 30*w^2 + 24*w - 11]', '[1943, 1943, 4*w^4 + w^3 - 29*w^2 - 9*w + 11]', '[1943, 1943, -9*w^4 - 5*w^3 + 71*w^2 + 37*w - 39]', '[1944, 6, 3*w^4 + 3*w^3 - 24*w^2 - 18*w + 12]', '[1944, 486, -6*w^4 - 3*w^3 + 46*w^2 + 26*w - 24]', '[1947, 1947, -5*w^4 - 4*w^3 + 40*w^2 + 30*w - 31]', '[1948, 974, 6*w^4 + 3*w^3 - 47*w^2 - 20*w + 24]', '[1949, 1949, -8*w^4 - 3*w^3 + 62*w^2 + 21*w - 31]', '[1951, 1951, -3*w^4 + 22*w^2 + 3*w - 11]', '[1958, 1958, 6*w^4 + 2*w^3 - 45*w^2 - 17*w + 14]', '[1958, 1958, 11*w^4 + 4*w^3 - 84*w^2 - 33*w + 40]', '[1959, 1959, -8*w^4 - 4*w^3 + 62*w^2 + 33*w - 35]', '[1962, 1962, -19*w^4 - 12*w^3 + 147*w^2 + 91*w - 72]', '[1964, 982, 2*w^4 + 2*w^3 - 15*w^2 - 16*w + 4]', '[1964, 982, -23*w^4 - 12*w^3 + 177*w^2 + 92*w - 82]', '[1969, 1969, -8*w^4 - 5*w^3 + 62*w^2 + 41*w - 41]', '[1969, 1969, -5*w^4 - 2*w^3 + 36*w^2 + 11*w - 15]', '[1969, 1969, w^4 - w^3 - 10*w^2 - w + 1]', '[1972, 986, w^3 + w^2 - 8*w - 4]', '[1977, 1977, 3*w^4 + 2*w^3 - 21*w^2 - 12*w + 7]', '[1979, 1979, -24*w^4 - 13*w^3 + 185*w^2 + 99*w - 89]', '[1986, 1986, 7*w^4 + 5*w^3 - 52*w^2 - 33*w + 22]', '[1986, 1986, -7*w^4 - 3*w^3 + 55*w^2 + 25*w - 34]', '[1987, 1987, -10*w^4 - 5*w^3 + 78*w^2 + 37*w - 47]', '[1987, 1987, -12*w^4 - 6*w^3 + 93*w^2 + 48*w - 43]', '[1987, 1987, 14*w^4 + 7*w^3 - 108*w^2 - 53*w + 51]', '[1992, 498, -9*w^4 - 5*w^3 + 70*w^2 + 36*w - 38]', '[1993, 1993, 4*w^4 + 3*w^3 - 34*w^2 - 18*w + 25]', '[1996, 998, 4*w^4 + w^3 - 31*w^2 - 8*w + 20]', '[1996, 998, -5*w^4 - 4*w^3 + 39*w^2 + 28*w - 18]', '[1999, 1999, 5*w^4 + w^3 - 37*w^2 - 12*w + 15]', '[1999, 1999, 12*w^4 + 5*w^3 - 93*w^2 - 38*w + 47]', '[2004, 1002, -5*w^4 - 2*w^3 + 39*w^2 + 20*w - 22]', '[2004, 1002, 11*w^4 + 5*w^3 - 87*w^2 - 38*w + 52]', '[2006, 2006, 2*w^4 - w^3 - 14*w^2 + 5*w + 4]', '[2011, 2011, -22*w^4 - 13*w^3 + 170*w^2 + 99*w - 85]', '[2011, 2011, -4*w^4 + 31*w^2 + 2*w - 13]', '[2012, 1006, -2*w^4 - 2*w^3 + 17*w^2 + 18*w - 14]', '[2021, 2021, -4*w^4 - 3*w^3 + 31*w^2 + 19*w - 17]', '[2021, 2021, w^2 - 9]', '[2021, 2021, -4*w^4 - 4*w^3 + 31*w^2 + 29*w - 15]', '[2021, 2021, -4*w^4 - 2*w^3 + 31*w^2 + 15*w - 11]', '[2022, 2022, -7*w^4 - 5*w^3 + 53*w^2 + 35*w - 28]', '[2026, 2026, -8*w^4 - 4*w^3 + 61*w^2 + 29*w - 28]', '[2027, 2027, -12*w^4 - 4*w^3 + 93*w^2 + 33*w - 51]', '[2031, 2031, 16*w^4 + 9*w^3 - 124*w^2 - 70*w + 61]', '[2031, 2031, -3*w^4 - 3*w^3 + 23*w^2 + 21*w - 11]', '[2031, 2031, -7*w^4 - 3*w^3 + 54*w^2 + 26*w - 25]', '[2034, 2034, 8*w^4 + 5*w^3 - 61*w^2 - 35*w + 32]', '[2034, 2034, 12*w^4 + 8*w^3 - 93*w^2 - 61*w + 50]', '[2036, 1018, -5*w^4 - 4*w^3 + 39*w^2 + 28*w - 14]', '[2036, 1018, -w^4 + 9*w^2 - 6]', '[2038, 2038, 10*w^4 + 5*w^3 - 77*w^2 - 41*w + 42]', '[2039, 2039, -10*w^4 - 6*w^3 + 78*w^2 + 46*w - 41]', '[2042, 2042, 2*w^4 + w^3 - 18*w^2 - 7*w + 8]', '[2043, 2043, w^4 + w^3 - 6*w^2 - 4*w - 1]', '[2048, 8, 4*w]', '[2049, 2049, 8*w^4 + 2*w^3 - 61*w^2 - 18*w + 27]', '[2053, 2053, -15*w^4 - 7*w^3 + 116*w^2 + 54*w - 57]', '[2056, 514, -12*w^4 - 5*w^3 + 94*w^2 + 38*w - 56]', '[2057, 2057, 3*w^4 - 22*w^2 - w + 9]', '[2058, 42, 23*w^4 + 10*w^3 - 180*w^2 - 79*w + 106]', '[2059, 2059, 3*w^4 - w^3 - 21*w^2 + 4*w + 1]', '[2059, 2059, -w^2 - 2*w + 5]', '[2059, 2059, 6*w^4 + 2*w^3 - 46*w^2 - 18*w + 21]', '[2061, 2061, w^4 - 2*w^3 - 6*w^2 + 16*w - 3]', '[2061, 2061, -7*w^4 - 3*w^3 + 54*w^2 + 25*w - 33]', '[2061, 2061, -w^4 + 7*w^2 - 2*w - 7]', '[2062, 2062, -w^4 - 2*w^3 + 9*w^2 + 9*w - 4]', '[2062, 2062, -w^4 + 10*w^2 + w - 2]', '[2063, 2063, 8*w^4 + 4*w^3 - 63*w^2 - 30*w + 41]', '[2063, 2063, 7*w^4 + 5*w^3 - 56*w^2 - 34*w + 29]', '[2064, 258, w^4 - 8*w^2 + 10]', '[2064, 258, -3*w^4 - 2*w^3 + 24*w^2 + 18*w - 16]', '[2066, 2066, -17*w^4 - 10*w^3 + 130*w^2 + 75*w - 62]', '[2068, 1034, 9*w^4 + 5*w^3 - 69*w^2 - 36*w + 32]', '[2068, 1034, w^3 + w^2 - 6*w]', '[2069, 2069, -22*w^4 - 11*w^3 + 171*w^2 + 85*w - 89]', '[2069, 2069, 3*w^4 + w^3 - 24*w^2 - 9*w + 21]', '[2076, 1038, -5*w^4 - 2*w^3 + 37*w^2 + 16*w - 22]', '[2081, 2081, w^2 + w - 7]', '[2082, 2082, w^3 + w^2 - 7*w - 4]', '[2082, 2082, 13*w^4 + 5*w^3 - 102*w^2 - 39*w + 60]', '[2083, 2083, -20*w^4 - 11*w^3 + 155*w^2 + 84*w - 81]', '[2083, 2083, -14*w^4 - 6*w^3 + 108*w^2 + 45*w - 57]', '[2083, 2083, -8*w^4 - 4*w^3 + 62*w^2 + 33*w - 39]', '[2084, 1042, 6*w^4 + 3*w^3 - 45*w^2 - 24*w + 14]', '[2087, 2087, 17*w^4 + 8*w^3 - 133*w^2 - 64*w + 77]', '[2088, 522, -w^4 - w^3 + 8*w^2 + 10*w - 4]', '[2089, 2089, -9*w^4 - 5*w^3 + 68*w^2 + 38*w - 27]', '[2094, 2094, 7*w^4 + 3*w^3 - 54*w^2 - 27*w + 26]', '[2097, 2097, 12*w^4 + 7*w^3 - 94*w^2 - 53*w + 53]', '[2098, 2098, 5*w^4 + 2*w^3 - 36*w^2 - 17*w + 18]', '[2098, 2098, 2*w^4 + w^3 - 14*w^2 - 7*w + 2]', '[2098, 2098, -12*w^4 - 7*w^3 + 93*w^2 + 51*w - 46]', '[2099, 2099, 6*w^4 + 3*w^3 - 48*w^2 - 23*w + 33]', '[2101, 2101, -3*w^4 - w^3 + 26*w^2 + 13*w - 19]', '[2102, 2102, 2*w^4 + 2*w^3 - 14*w^2 - 13*w + 10]', '[2103, 2103, -5*w^4 - 3*w^3 + 40*w^2 + 28*w - 15]', '[2107, 301, 2*w^4 - 15*w^2 + 9]', '[2107, 301, 10*w^4 + 5*w^3 - 76*w^2 - 40*w + 31]', '[2112, 132, 6*w^4 + 2*w^3 - 46*w^2 - 18*w + 20]', '[2113, 2113, -12*w^4 - 6*w^3 + 92*w^2 + 44*w - 47]', '[2116, 46, -10*w^4 - 6*w^3 + 77*w^2 + 48*w - 38]', '[2118, 2118, -3*w^4 - w^3 + 22*w^2 + 7*w - 4]', '[2122, 2122, w^4 - 8*w^2 - w + 10]', '[2123, 2123, w^3 - w^2 - 8*w + 1]', '[2124, 1062, -5*w^4 - 5*w^3 + 39*w^2 + 38*w - 22]', '[2126, 2126, 8*w^4 + 4*w^3 - 62*w^2 - 29*w + 30]', '[2126, 2126, -w^4 - w^3 + 6*w^2 + 3*w]', '[2126, 2126, -3*w + 4]', '[2127, 2127, -11*w^4 - 6*w^3 + 86*w^2 + 51*w - 39]', '[2129, 2129, -11*w^4 - 6*w^3 + 84*w^2 + 45*w - 35]', '[2136, 534, -4*w^4 - 3*w^3 + 30*w^2 + 22*w - 6]', '[2136, 534, -31*w^4 - 17*w^3 + 238*w^2 + 130*w - 110]', '[2137, 2137, -7*w^4 - 3*w^3 + 55*w^2 + 25*w - 27]', '[2137, 2137, -13*w^4 - 7*w^3 + 100*w^2 + 54*w - 51]', '[2138, 2138, 9*w^4 + 5*w^3 - 71*w^2 - 37*w + 44]', '[2144, 134, 10*w^4 + 6*w^3 - 78*w^2 - 46*w + 38]', '[2144, 134, -8*w^4 - 4*w^3 + 64*w^2 + 32*w - 38]', '[2148, 1074, -2*w^4 - w^3 + 13*w^2 + 6*w - 4]', '[2148, 1074, 4*w^4 + w^3 - 31*w^2 - 12*w + 14]', '[2148, 1074, -9*w^4 - 3*w^3 + 69*w^2 + 26*w - 38]', '[2151, 2151, -11*w^4 - 6*w^3 + 86*w^2 + 44*w - 47]', '[2152, 538, -18*w^4 - 9*w^3 + 140*w^2 + 70*w - 80]', '[2152, 538, -5*w^4 - 3*w^3 + 40*w^2 + 24*w - 22]', '[2152, 538, 3*w^4 + w^3 - 22*w^2 - 10*w + 6]', '[2153, 2153, -13*w^4 - 7*w^3 + 99*w^2 + 53*w - 47]', '[2153, 2153, -9*w^4 - 4*w^3 + 70*w^2 + 29*w - 39]', '[2153, 2153, w - 5]', '[2156, 154, -4*w^4 - 2*w^3 + 33*w^2 + 18*w - 22]', '[2157, 2157, -w - 5]', '[2157, 2157, 2*w^4 + 2*w^3 - 16*w^2 - 14*w + 5]', '[2157, 2157, 2*w^4 + w^3 - 15*w^2 - 4*w + 13]', '[2161, 2161, -w^4 + 9*w^2 + w - 13]', '[2161, 2161, 16*w^4 + 9*w^3 - 123*w^2 - 70*w + 61]', '[2164, 1082, -w^4 + 2*w^3 + 7*w^2 - 12*w + 2]', '[2167, 2167, -8*w^4 - 4*w^3 + 60*w^2 + 27*w - 35]', '[2167, 2167, -4*w^4 - 2*w^3 + 34*w^2 + 21*w - 21]', '[2169, 2169, 10*w^4 + 4*w^3 - 79*w^2 - 30*w + 47]', '[2174, 2174, -3*w^4 - 2*w^3 + 21*w^2 + 13*w - 12]', '[2174, 2174, 2*w^3 - 15*w]', '[2176, 68, -10*w^4 - 4*w^3 + 78*w^2 + 32*w - 40]', '[2178, 2178, 6*w^4 + 3*w^3 - 47*w^2 - 25*w + 30]', '[2181, 2181, 4*w^4 + 2*w^3 - 31*w^2 - 16*w + 11]', '[2186, 2186, -17*w^4 - 9*w^3 + 130*w^2 + 69*w - 60]', '[2187, 27, 3*w^4 - 21*w^2 - 3*w + 3]', '[2187, 2187, -2*w^4 - w^3 + 17*w^2 + 11*w - 13]', '[2188, 1094, 7*w^4 + 3*w^3 - 53*w^2 - 24*w + 26]', '[2188, 1094, 11*w^4 + 6*w^3 - 85*w^2 - 46*w + 46]', '[2189, 2189, 3*w^4 + 3*w^3 - 21*w^2 - 17*w + 13]', '[2189, 2189, 4*w^4 + 2*w^3 - 31*w^2 - 16*w + 21]', '[2192, 274, -11*w^4 - 4*w^3 + 86*w^2 + 32*w - 54]', '[2193, 2193, -15*w^4 - 8*w^3 + 116*w^2 + 61*w - 55]', '[2193, 2193, -7*w^4 - 3*w^3 + 53*w^2 + 23*w - 27]', '[2199, 2199, -12*w^4 - 7*w^3 + 90*w^2 + 48*w - 41]', '[2202, 2202, 7*w^4 + 5*w^3 - 56*w^2 - 35*w + 34]', '[2203, 2203, -6*w^4 - 3*w^3 + 48*w^2 + 24*w - 31]', '[2209, 47, -6*w^4 - 3*w^3 + 46*w^2 + 26*w - 25]', '[2209, 2209, -12*w^4 - 5*w^3 + 92*w^2 + 40*w - 45]', '[2209, 2209, 3*w^4 + 2*w^3 - 23*w^2 - 16*w + 17]', '[2211, 2211, -15*w^4 - 8*w^3 + 115*w^2 + 62*w - 49]', '[2211, 2211, 3*w^4 + w^3 - 22*w^2 - 7*w + 13]', '[2213, 2213, 9*w^4 + 5*w^3 - 70*w^2 - 40*w + 41]', '[2216, 554, w^4 + w^3 - 6*w^2 - 6*w + 6]', '[2221, 2221, -9*w^4 - 6*w^3 + 69*w^2 + 47*w - 33]', '[2221, 2221, 21*w^4 + 11*w^3 - 161*w^2 - 85*w + 75]', '[2224, 278, 21*w^4 + 10*w^3 - 162*w^2 - 78*w + 82]', '[2224, 278, 3*w^4 - 24*w^2 - 2*w + 16]', '[2234, 2234, -11*w^4 - 6*w^3 + 86*w^2 + 47*w - 46]', '[2241, 2241, 3*w^4 + 3*w^3 - 23*w^2 - 21*w + 17]', '[2243, 2243, 14*w^4 + 6*w^3 - 109*w^2 - 49*w + 55]', '[2243, 2243, 9*w^4 + 4*w^3 - 69*w^2 - 33*w + 31]', '[2243, 2243, 5*w^4 + 3*w^3 - 37*w^2 - 26*w + 17]', '[2244, 1122, 9*w^4 + 5*w^3 - 69*w^2 - 38*w + 36]', '[2246, 2246, 19*w^4 + 11*w^3 - 147*w^2 - 85*w + 74]', '[2248, 562, -21*w^4 - 9*w^3 + 164*w^2 + 70*w - 92]', '[2252, 1126, 25*w^4 + 14*w^3 - 191*w^2 - 108*w + 84]', '[2252, 1126, 7*w^4 + 5*w^3 - 55*w^2 - 34*w + 22]', '[2252, 1126, 18*w^4 + 10*w^3 - 139*w^2 - 78*w + 68]', '[2253, 2253, -5*w^4 - 3*w^3 + 37*w^2 + 18*w - 23]', '[2256, 282, -w^4 + 6*w^2 + 2*w + 2]', '[2256, 282, -5*w^4 - 4*w^3 + 40*w^2 + 28*w - 26]', '[2258, 2258, 8*w^4 + 4*w^3 - 62*w^2 - 33*w + 34]', '[2272, 142, 8*w^4 + 6*w^3 - 62*w^2 - 44*w + 30]', '[2272, 142, -18*w^4 - 10*w^3 + 140*w^2 + 76*w - 78]', '[2272, 142, -8*w^4 - 2*w^3 + 62*w^2 + 16*w - 34]', '[2273, 2273, 2*w^4 + w^3 - 15*w^2 - 10*w + 3]', '[2276, 1138, -11*w^4 - 5*w^3 + 83*w^2 + 42*w - 38]', '[2278, 2278, 6*w^4 + 2*w^3 - 45*w^2 - 17*w + 22]', '[2278, 2278, 16*w^4 + 9*w^3 - 123*w^2 - 67*w + 58]', '[2279, 2279, 20*w^4 + 10*w^3 - 156*w^2 - 76*w + 87]', '[2279, 2279, 15*w^4 + 8*w^3 - 117*w^2 - 61*w + 63]', '[2279, 2279, -w^4 - w^3 + 7*w^2 + 3*w - 7]', '[2279, 2279, -6*w^4 - 4*w^3 + 48*w^2 + 28*w - 25]', '[2283, 2283, 8*w^4 + 2*w^3 - 62*w^2 - 16*w + 29]', '[2283, 2283, 5*w^4 + 5*w^3 - 40*w^2 - 36*w + 27]', '[2292, 1146, 2*w^4 + w^3 - 15*w^2 - 6*w + 12]', '[2293, 2293, -w^3 - w^2 + 6*w + 1]', '[2293, 2293, 5*w^4 + w^3 - 39*w^2 - 9*w + 25]', '[2297, 2297, 5*w^4 + 4*w^3 - 40*w^2 - 30*w + 21]', '[2298, 2298, -6*w^4 - 2*w^3 + 46*w^2 + 17*w - 28]', '[2302, 2302, 5*w^4 + 2*w^3 - 37*w^2 - 19*w + 14]', '[2302, 2302, 5*w^4 + 3*w^3 - 39*w^2 - 25*w + 22]', '[2303, 329, -7*w^4 - 3*w^3 + 55*w^2 + 26*w - 25]', '[2303, 329, -12*w^4 - 5*w^3 + 93*w^2 + 41*w - 49]', '[2304, 36, -10*w^4 - 6*w^3 + 76*w^2 + 44*w - 32]', '[2308, 1154, w^4 - w^3 - 7*w^2 + 4*w - 2]', '[2309, 2309, 4*w^4 + 2*w^3 - 31*w^2 - 15*w + 21]', '[2311, 2311, -7*w^4 - 3*w^3 + 53*w^2 + 23*w - 25]', '[2311, 2311, 7*w^4 + 4*w^3 - 56*w^2 - 29*w + 31]', '[2311, 2311, -3*w^4 - 2*w^3 + 23*w^2 + 13*w - 5]', '[2312, 578, w^4 + w^3 - 8*w^2 - 8*w + 10]', '[2313, 2313, 29*w^4 + 14*w^3 - 224*w^2 - 110*w + 117]', '[2316, 1158, -w^4 - 2*w^3 + 9*w^2 + 10*w - 4]', '[2319, 2319, 9*w^4 + 6*w^3 - 70*w^2 - 47*w + 33]', '[2319, 2319, 15*w^4 + 8*w^3 - 116*w^2 - 60*w + 57]', '[2319, 2319, 10*w^4 + 6*w^3 - 77*w^2 - 44*w + 39]', '[2322, 2322, -12*w^4 - 6*w^3 + 92*w^2 + 45*w - 44]', '[2322, 2322, w^4 - w^3 - 7*w^2 + 5*w - 4]', '[2326, 2326, -6*w^4 - 5*w^3 + 47*w^2 + 37*w - 24]', '[2326, 2326, 3*w^4 + 2*w^3 - 22*w^2 - 9*w + 10]', '[2326, 2326, 15*w^4 + 8*w^3 - 116*w^2 - 63*w + 62]', '[2329, 2329, -5*w^4 - 2*w^3 + 36*w^2 + 18*w - 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51*w^2 - 26*w + 21]', '[4122, 4122, 4*w^4 + 2*w^3 - 30*w^2 - 13*w + 10]', '[4122, 4122, 9*w^4 + 4*w^3 - 68*w^2 - 27*w + 34]', '[4122, 4122, -6*w^4 - w^3 + 46*w^2 + 9*w - 24]', '[4124, 2062, 13*w^4 + 8*w^3 - 101*w^2 - 58*w + 44]', '[4124, 2062, 6*w^4 + 5*w^3 - 47*w^2 - 34*w + 24]', '[4126, 4126, 4*w^4 + w^3 - 30*w^2 - 7*w + 16]', '[4126, 4126, 9*w^4 + 5*w^3 - 70*w^2 - 39*w + 30]', '[4127, 4127, -33*w^4 - 15*w^3 + 256*w^2 + 117*w - 135]', '[4128, 258, 4*w + 2]', '[4128, 258, 10*w^4 + 4*w^3 - 76*w^2 - 32*w + 34]', '[4131, 51, 9*w^4 + 3*w^3 - 69*w^2 - 27*w + 27]', '[4131, 4131, 5*w^4 + 2*w^3 - 39*w^2 - 13*w + 21]', '[4132, 2066, -3*w^4 + 23*w^2 + 4*w - 4]', '[4136, 1034, -w^4 + w^3 + 6*w^2 - 8*w]', '[4136, 1034, -10*w^4 - 5*w^3 + 76*w^2 + 40*w - 30]', '[4138, 4138, -11*w^4 - 5*w^3 + 85*w^2 + 43*w - 44]', '[4138, 4138, w^4 - 9*w^2 + 3*w + 6]', '[4152, 1038, w^4 - w^3 - 8*w^2 + 4*w + 10]', '[4157, 4157, 8*w^4 + 3*w^3 - 63*w^2 - 23*w + 35]', '[4159, 4159, -5*w^4 - 4*w^3 + 38*w^2 + 28*w - 17]', '[4162, 4162, w^3 + w^2 - 7*w]', '[4164, 2082, w^4 + w^3 - 7*w^2 - 4*w]', '[4164, 2082, 5*w^4 + 2*w^3 - 39*w^2 - 18*w + 26]', '[4166, 4166, 21*w^4 + 11*w^3 - 164*w^2 - 85*w + 92]', '[4166, 4166, -11*w^4 - 5*w^3 + 84*w^2 + 39*w - 40]', '[4166, 4166, 9*w^4 + 5*w^3 - 71*w^2 - 39*w + 40]', '[4167, 4167, -6*w^4 - 3*w^3 + 47*w^2 + 27*w - 17]', '[4168, 1042, -22*w^4 - 11*w^3 + 172*w^2 + 84*w - 102]', '[4174, 4174, -22*w^4 - 9*w^3 + 171*w^2 + 71*w - 96]', '[4176, 522, 15*w^4 + 8*w^3 - 114*w^2 - 62*w + 48]', '[4177, 4177, -w^4 + 9*w^2 + 2*w - 11]', '[4177, 4177, 11*w^4 + 6*w^3 - 85*w^2 - 46*w + 47]', '[4178, 4178, 2*w^4 + 2*w^3 - 17*w^2 - 9*w + 12]', '[4183, 4183, -10*w^4 - 4*w^3 + 76*w^2 + 30*w - 33]', '[4183, 4183, -14*w^4 - 9*w^3 + 107*w^2 + 68*w - 49]', '[4183, 4183, 7*w^4 + 4*w^3 - 55*w^2 - 31*w + 37]', '[4183, 4183, -15*w^4 - 8*w^3 + 116*w^2 + 63*w - 61]', '[4188, 2094, -27*w^4 - 15*w^3 + 207*w^2 + 116*w - 98]', '[4189, 4189, 6*w^4 + 2*w^3 - 44*w^2 - 21*w + 17]', '[4189, 4189, -4*w^4 - 2*w^3 + 32*w^2 + 17*w - 23]', '[4189, 4189, 12*w^4 + 5*w^3 - 93*w^2 - 41*w + 47]', '[4194, 4194, 10*w^4 + 8*w^3 - 78*w^2 - 59*w + 44]', '[4196, 2098, -14*w^4 - 7*w^3 + 107*w^2 + 58*w - 52]', '[4196, 2098, w^4 + 2*w^3 - 7*w^2 - 10*w + 4]', '[4196, 2098, 2*w^4 + w^3 - 15*w^2 - 8*w + 12]', '[4197, 4197, 8*w^4 + 4*w^3 - 63*w^2 - 34*w + 37]', '[4198, 4198, -16*w^4 - 9*w^3 + 123*w^2 + 67*w - 64]', '[4201, 4201, 9*w^4 + 5*w^3 - 71*w^2 - 38*w + 37]', '[4202, 4202, -10*w^4 - 6*w^3 + 78*w^2 + 47*w - 44]', '[4204, 2102, -8*w^4 - 3*w^3 + 61*w^2 + 26*w - 26]', '[4206, 4206, -5*w^4 - w^3 + 40*w^2 + 7*w - 32]', '[4211, 4211, -w^2 - w - 3]', '[4213, 4213, 3*w^4 + w^3 - 26*w^2 - 12*w + 17]', '[4214, 602, w^3 - 3*w + 4]', '[4214, 602, 9*w^4 + 5*w^3 - 69*w^2 - 35*w + 34]', '[4217, 4217, w^4 - 7*w^2 - 2*w - 3]', '[4224, 132, -12*w^4 - 6*w^3 + 94*w^2 + 44*w - 48]', '[4226, 4226, w^3 + w^2 - 9*w - 4]', '[4227, 4227, -17*w^4 - 8*w^3 + 133*w^2 + 61*w - 79]', '[4231, 4231, 3*w^4 + w^3 - 25*w^2 - 8*w + 15]', '[4232, 46, -5*w^4 - 3*w^3 + 40*w^2 + 26*w - 24]', '[4233, 4233, -6*w^4 - 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w^3 + 15*w^2 + 12*w - 6]', '[5029, 5029, 12*w^4 + 6*w^3 - 94*w^2 - 42*w + 51]', '[5029, 5029, -6*w^4 - 3*w^3 + 49*w^2 + 20*w - 29]', '[5038, 5038, -6*w^4 - 3*w^3 + 45*w^2 + 27*w - 26]', '[5038, 5038, -3*w^4 + 21*w^2 - 3*w - 8]', '[5038, 5038, 17*w^4 + 7*w^3 - 133*w^2 - 55*w + 72]', '[5041, 71, -23*w^4 - 12*w^3 + 179*w^2 + 93*w - 101]', '[5041, 71, 17*w^4 + 7*w^3 - 131*w^2 - 56*w + 65]', '[5041, 71, -39*w^4 - 20*w^3 + 303*w^2 + 155*w - 163]', '[5041, 71, -27*w^4 - 11*w^3 + 211*w^2 + 87*w - 121]', '[5041, 5041, -4*w^4 - 2*w^3 + 31*w^2 + 20*w - 17]', '[5041, 5041, 13*w^4 + 6*w^3 - 99*w^2 - 50*w + 47]', '[5041, 5041, -6*w^4 - 3*w^3 + 48*w^2 + 24*w - 35]', '[5042, 5042, -6*w^4 - 3*w^3 + 46*w^2 + 27*w - 24]', '[5042, 5042, 8*w^4 + 5*w^3 - 61*w^2 - 37*w + 32]', '[5042, 5042, -2*w^4 - 3*w^3 + 16*w^2 + 13*w - 10]', '[5046, 174, -15*w^4 - 7*w^3 + 118*w^2 + 55*w - 64]', '[5046, 174, -9*w^4 - 5*w^3 + 71*w^2 + 39*w - 36]', '[5046, 5046, 5*w^4 + 3*w^3 - 41*w^2 - 25*w + 28]', '[5049, 5049, 8*w^4 + 5*w^3 - 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w^3 + 18*w^2 + 11*w - 14]', '[5266, 5266, -11*w^4 - 5*w^3 + 87*w^2 + 39*w - 54]', '[5272, 1318, 11*w^4 + 5*w^3 - 84*w^2 - 38*w + 44]', '[5273, 5273, -19*w^4 - 10*w^3 + 148*w^2 + 74*w - 75]', '[5273, 5273, -20*w^4 - 8*w^3 + 156*w^2 + 64*w - 89]', '[5276, 2638, -8*w^4 - 4*w^3 + 63*w^2 + 34*w - 36]', '[5277, 5277, 15*w^4 + 9*w^3 - 112*w^2 - 61*w + 53]', '[5277, 5277, 4*w^4 + 3*w^3 - 33*w^2 - 27*w + 17]', '[5279, 5279, -36*w^4 - 17*w^3 + 279*w^2 + 133*w - 145]', '[5279, 5279, 5*w^4 + 4*w^3 - 39*w^2 - 27*w + 25]', '[5279, 5279, -11*w^4 - 6*w^3 + 86*w^2 + 48*w - 47]', '[5279, 5279, -16*w^4 - 7*w^3 + 122*w^2 + 56*w - 55]', '[5279, 5279, 17*w^4 + 8*w^3 - 130*w^2 - 65*w + 63]', '[5281, 5281, 10*w^4 + 4*w^3 - 77*w^2 - 34*w + 39]', '[5283, 5283, -14*w^4 - 7*w^3 + 110*w^2 + 53*w - 67]', '[5283, 5283, -35*w^4 - 20*w^3 + 268*w^2 + 152*w - 125]', '[5284, 2642, -6*w^4 - w^3 + 45*w^2 + 8*w - 20]', '[5286, 5286, 12*w^4 + 6*w^3 - 94*w^2 - 45*w + 58]', '[5292, 378, -14*w^4 - 6*w^3 + 109*w^2 + 48*w - 56]', '[5294, 5294, -3*w^4 - 2*w^3 + 21*w^2 + 13*w - 6]', '[5294, 5294, -9*w^4 - 5*w^3 + 71*w^2 + 41*w - 40]', '[5296, 662, 19*w^4 + 10*w^3 - 148*w^2 - 78*w + 82]', '[5296, 662, 15*w^4 + 8*w^3 - 116*w^2 - 58*w + 62]', '[5297, 5297, -8*w^4 - 6*w^3 + 62*w^2 + 43*w - 27]', '[5297, 5297, -10*w^4 - 5*w^3 + 76*w^2 + 36*w - 35]', '[5297, 5297, -4*w^4 - 3*w^3 + 33*w^2 + 21*w - 27]', '[5298, 5298, 16*w^4 + 8*w^3 - 122*w^2 - 63*w + 56]', '[5302, 5302, 12*w^4 + 6*w^3 - 94*w^2 - 43*w + 46]', '[5303, 5303, -40*w^4 - 21*w^3 + 310*w^2 + 162*w - 161]', '[5308, 2654, -w^3 - w^2 + 8*w + 2]', '[5309, 5309, 14*w^4 + 7*w^3 - 108*w^2 - 54*w + 49]', '[5311, 5311, 9*w^4 + 4*w^3 - 68*w^2 - 32*w + 31]', '[5311, 5311, -2*w^4 + w^3 + 15*w^2 - 4*w - 5]', '[5311, 5311, 2*w^3 - 13*w - 5]', '[5311, 5311, 16*w^4 + 6*w^3 - 123*w^2 - 49*w + 61]', '[5312, 332, 4*w^4 + 2*w^3 - 32*w^2 - 14*w + 24]', '[5314, 5314, -20*w^4 - 9*w^3 + 155*w^2 + 69*w - 82]', '[5314, 5314, -3*w^4 - 2*w^3 + 23*w^2 + 13*w - 18]', '[5314, 5314, -5*w^4 - 4*w^3 + 39*w^2 + 29*w - 16]', '[5319, 5319, -19*w^4 - 9*w^3 + 146*w^2 + 69*w - 79]', '[5319, 5319, -5*w^4 - w^3 + 40*w^2 + 11*w - 21]', '[5321, 5321, 5*w^4 + 5*w^3 - 39*w^2 - 36*w + 21]', '[5321, 5321, 2*w^4 - 15*w^2 + w + 11]', '[5323, 5323, -14*w^4 - 6*w^3 + 110*w^2 + 45*w - 61]', '[5324, 2662, -w^4 + w^3 + 7*w^2 - 8*w - 4]', '[5326, 5326, 6*w^4 + 4*w^3 - 47*w^2 - 33*w + 26]', '[5326, 5326, 4*w^4 + 2*w^3 - 33*w^2 - 17*w + 22]', '[5329, 73, 15*w^4 + 8*w^3 - 115*w^2 - 64*w + 59]', '[5333, 5333, -3*w^4 - 2*w^3 + 25*w^2 + 15*w - 19]', '[5337, 5337, -22*w^4 - 12*w^3 + 169*w^2 + 92*w - 83]', '[5337, 5337, -11*w^4 - 4*w^3 + 84*w^2 + 33*w - 45]', '[5338, 5338, -22*w^4 - 12*w^3 + 170*w^2 + 91*w - 88]', '[5341, 763, -3*w^4 - 2*w^3 + 22*w^2 + 18*w - 7]', '[5342, 5342, -3*w^4 + 22*w^2 + w - 10]', '[5342, 5342, -3*w^4 - 3*w^3 + 22*w^2 + 11*w - 10]', '[5344, 334, 4*w^4 + 2*w^3 - 32*w^2 - 18*w + 22]', '[5344, 334, -28*w^4 - 14*w^3 + 218*w^2 + 108*w - 118]', '[5346, 66, -12*w^4 - 9*w^3 + 93*w^2 + 69*w - 48]', '[5346, 5346, 17*w^4 + 7*w^3 - 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199*w^2 - 117*w + 89]', '[5671, 5671, -3*w^4 - 2*w^3 + 24*w^2 + 12*w - 17]', '[5671, 5671, -19*w^4 - 9*w^3 + 149*w^2 + 70*w - 81]', '[5672, 1418, -10*w^4 - 5*w^3 + 78*w^2 + 42*w - 40]', '[5674, 5674, 9*w^4 + 4*w^3 - 68*w^2 - 33*w + 26]', '[5676, 2838, 2*w^4 + 2*w^3 - 15*w^2 - 12*w + 14]', '[5676, 2838, 5*w^4 + 4*w^3 - 39*w^2 - 32*w + 20]', '[5678, 5678, 10*w^4 + 4*w^3 - 77*w^2 - 31*w + 44]', '[5678, 5678, -2*w^4 - w^3 + 18*w^2 + 5*w - 10]', '[5682, 5682, w^4 - w^3 - 6*w^2 + 9*w - 6]', '[5682, 5682, -2*w^2 + w - 2]', '[5683, 5683, -13*w^4 - 7*w^3 + 100*w^2 + 53*w - 53]', '[5684, 406, -9*w^4 - 5*w^3 + 67*w^2 + 34*w - 32]', '[5687, 5687, -8*w^4 - 4*w^3 + 63*w^2 + 30*w - 31]', '[5687, 5687, -14*w^4 - 8*w^3 + 109*w^2 + 60*w - 59]', '[5692, 2846, -3*w^4 - 2*w^3 + 23*w^2 + 10*w - 8]', '[5692, 2846, -5*w^4 - 3*w^3 + 39*w^2 + 18*w - 18]', '[5693, 5693, -3*w^4 - w^3 + 20*w^2 + 13*w - 3]', '[5693, 5693, 14*w^4 + 8*w^3 - 107*w^2 - 61*w + 43]', '[5693, 5693, 8*w^4 + 4*w^3 - 64*w^2 - 33*w + 35]', '[5696, 356, 6*w^4 + 4*w^3 - 48*w^2 - 30*w + 28]', '[5696, 356, 4*w^4 + 4*w^3 - 30*w^2 - 26*w + 16]', '[5701, 5701, 4*w^4 + 4*w^3 - 31*w^2 - 30*w + 13]', '[5702, 5702, 6*w^4 + 2*w^3 - 47*w^2 - 17*w + 18]', '[5702, 5702, 4*w^4 + 4*w^3 - 34*w^2 - 25*w + 22]', '[5703, 5703, 21*w^4 + 9*w^3 - 162*w^2 - 71*w + 83]', '[5703, 5703, -10*w^4 - 7*w^3 + 79*w^2 + 54*w - 47]', '[5706, 5706, -w^4 - 2*w^3 + 10*w^2 + 13*w - 14]', '[5706, 5706, -9*w^4 - 5*w^3 + 69*w^2 + 37*w - 26]', '[5709, 5709, 7*w^4 + 3*w^3 - 56*w^2 - 24*w + 37]', '[5713, 5713, -8*w^4 - 5*w^3 + 64*w^2 + 30*w - 35]', '[5713, 5713, -4*w^4 + w^3 + 30*w^2 - 2*w - 9]', '[5717, 5717, 10*w^4 + 6*w^3 - 78*w^2 - 44*w + 45]', '[5718, 5718, -22*w^4 - 10*w^3 + 171*w^2 + 81*w - 94]', '[5721, 5721, -10*w^4 - 7*w^3 + 73*w^2 + 45*w - 29]', '[5722, 5722, -5*w^4 - 3*w^3 + 41*w^2 + 19*w - 20]', '[5724, 2862, w^4 - 7*w^2 - 2*w + 8]', '[5724, 2862, 2*w^4 + w^3 - 13*w^2 - 12*w + 4]', '[5728, 358, 2*w^3 - 12*w + 2]', '[5728, 358, 20*w^4 + 8*w^3 - 154*w^2 - 64*w + 78]', '[5728, 358, -6*w^4 - 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39*w + 31]', '[9447, 9447, w^4 - 6*w^2 + 5*w - 3]', '[9447, 9447, 21*w^4 + 12*w^3 - 159*w^2 - 89*w + 71]', '[9448, 2362, -11*w^4 - 5*w^3 + 84*w^2 + 34*w - 46]', '[9449, 9449, -9*w^4 - 4*w^3 + 73*w^2 + 35*w - 43]', '[9449, 9449, 10*w^4 + 4*w^3 - 79*w^2 - 31*w + 43]', '[9452, 4726, -12*w^4 - 5*w^3 + 91*w^2 + 36*w - 46]', '[9452, 4726, -12*w^4 - 4*w^3 + 93*w^2 + 34*w - 50]', '[9456, 1182, 15*w^4 + 8*w^3 - 118*w^2 - 56*w + 64]', '[9456, 1182, 5*w^4 - 38*w^2 - 4*w + 16]', '[9457, 1351, 8*w^4 + 4*w^3 - 60*w^2 - 33*w + 31]', '[9458, 9458, 3*w^4 + 2*w^3 - 25*w^2 - 21*w + 16]', '[9459, 9459, 7*w^4 + 2*w^3 - 55*w^2 - 16*w + 29]', '[9461, 9461, -11*w^4 - 7*w^3 + 87*w^2 + 49*w - 47]', '[9463, 9463, 40*w^4 + 20*w^3 - 308*w^2 - 155*w + 147]', '[9466, 9466, 2*w^4 - 15*w^2 - 7*w + 4]', '[9474, 9474, w^4 - w^3 - 7*w^2 + 7*w - 6]', '[9479, 9479, 17*w^4 + 8*w^3 - 134*w^2 - 62*w + 83]', '[9479, 9479, 15*w^4 + 5*w^3 - 119*w^2 - 39*w + 83]', '[9479, 9479, 26*w^4 + 13*w^3 - 202*w^2 - 103*w + 105]', '[9483, 9483, 12*w^4 + 8*w^3 - 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2*w^3 + 19*w^2 + 14*w - 8]', '[9853, 9853, 34*w^4 + 16*w^3 - 265*w^2 - 125*w + 153]', '[9853, 9853, 17*w^4 + 8*w^3 - 131*w^2 - 60*w + 57]', '[9857, 9857, -23*w^4 - 13*w^3 + 179*w^2 + 98*w - 93]', '[9859, 9859, -13*w^4 - 5*w^3 + 101*w^2 + 44*w - 59]', '[9859, 9859, -11*w^4 - 6*w^3 + 86*w^2 + 42*w - 41]', '[9862, 9862, 24*w^4 + 12*w^3 - 185*w^2 - 95*w + 92]', '[9864, 2466, 11*w^4 + 7*w^3 - 82*w^2 - 52*w + 32]', '[9866, 9866, -16*w^4 - 9*w^3 + 124*w^2 + 69*w - 68]', '[9868, 4934, -2*w^3 - w^2 + 12*w - 2]', '[9869, 9869, -7*w^4 - 4*w^3 + 53*w^2 + 31*w - 29]', '[9869, 9869, -18*w^4 - 9*w^3 + 138*w^2 + 68*w - 69]', '[9869, 9869, -10*w^4 - 2*w^3 + 78*w^2 + 19*w - 41]', '[9869, 9869, w^3 - w^2 - 2*w - 5]', '[9869, 9869, 2*w^3 + w^2 - 13*w - 9]', '[9869, 9869, -8*w^4 - 2*w^3 + 63*w^2 + 19*w - 29]', '[9871, 9871, 9*w^4 + 4*w^3 - 68*w^2 - 31*w + 33]', '[9871, 9871, -9*w^4 - 3*w^3 + 68*w^2 + 25*w - 31]', '[9872, 1234, -15*w^4 - 6*w^3 + 116*w^2 + 48*w - 66]', '[9874, 9874, -15*w^4 - 9*w^3 + 117*w^2 + 69*w - 56]', '[9876, 4938, 10*w^4 + 4*w^3 - 77*w^2 - 38*w + 44]', '[9887, 9887, -4*w^4 - 3*w^3 + 29*w^2 + 28*w - 15]', '[9887, 9887, 3*w^4 + w^3 - 24*w^2 - 5*w + 15]', '[9892, 4946, -w^4 - w^3 + 9*w^2 + 4*w - 10]', '[9892, 4946, -17*w^4 - 10*w^3 + 129*w^2 + 76*w - 54]', '[9896, 2474, -20*w^4 - 11*w^3 + 156*w^2 + 82*w - 92]', '[9896, 2474, 9*w^4 + 5*w^3 - 72*w^2 - 38*w + 50]', '[9897, 9897, 2*w^4 + w^3 - 16*w^2 - 8*w + 3]', '[9897, 9897, 17*w^4 + 11*w^3 - 132*w^2 - 82*w + 75]', '[9901, 9901, -7*w^4 - 4*w^3 + 55*w^2 + 29*w - 39]', '[9902, 9902, -2*w^4 + 12*w^2 + 5*w - 2]', '[9902, 9902, 3*w^4 + 4*w^3 - 22*w^2 - 25*w + 18]', '[9903, 9903, 12*w^4 + 5*w^3 - 94*w^2 - 43*w + 45]', '[9904, 1238, -5*w^4 - 2*w^3 + 42*w^2 + 16*w - 44]', '[9909, 9909, -2*w^4 - 3*w^3 + 17*w^2 + 24*w - 21]', '[9911, 9911, 6*w^4 + 2*w^3 - 47*w^2 - 14*w + 27]', '[9911, 9911, -w^4 + 8*w^2 + 3*w - 11]', '[9914, 9914, -w^4 - 2*w^3 + 8*w^2 + 5*w - 2]', '[9923, 9923, 17*w^4 + 8*w^3 - 130*w^2 - 64*w + 69]', '[9924, 4962, -w^4 + 7*w^2 - 4*w - 8]', '[9929, 9929, -4*w^4 - 2*w^3 + 29*w^2 + 16*w - 7]', '[9934, 9934, -8*w^4 - 4*w^3 + 61*w^2 + 27*w - 30]', '[9938, 9938, 2*w^2 - w - 8]', '[9939, 9939, 8*w^4 + w^3 - 65*w^2 - 20*w + 31]', '[9939, 9939, 7*w^4 + 3*w^3 - 52*w^2 - 23*w + 17]', '[9944, 2486, 30*w^4 + 15*w^3 - 232*w^2 - 118*w + 124]', '[9944, 2486, w^4 + w^3 - 8*w^2 - 6*w - 2]', '[9946, 9946, -19*w^4 - 10*w^3 + 147*w^2 + 75*w - 72]', '[9946, 9946, -11*w^4 - 7*w^3 + 85*w^2 + 51*w - 44]', '[9947, 203, -14*w^4 - 8*w^3 + 109*w^2 + 61*w - 65]', '[9949, 9949, 8*w^4 + 3*w^3 - 61*w^2 - 28*w + 29]', '[9957, 9957, -10*w^4 - 4*w^3 + 76*w^2 + 32*w - 37]', '[9964, 4982, -w^4 + 9*w^2 - 16]', '[9964, 4982, -6*w^4 - 5*w^3 + 45*w^2 + 38*w - 16]', '[9964, 4982, w^4 + 2*w^3 - 7*w^2 - 12*w]', '[9964, 4982, -6*w^4 - 3*w^3 + 45*w^2 + 26*w - 16]', '[9966, 9966, -3*w^4 - 4*w^3 + 26*w^2 + 31*w - 20]', '[9967, 9967, -16*w^4 - 7*w^3 + 123*w^2 + 54*w - 65]', '[9972, 4986, 16*w^4 + 7*w^3 - 125*w^2 - 54*w + 66]', '[9973, 9973, -3*w^4 - w^3 + 21*w^2 + 8*w - 5]', '[9974, 9974, 34*w^4 + 17*w^3 - 265*w^2 - 131*w + 146]', '[9976, 2494, -w^4 + w^3 + 8*w^2 - 4*w - 6]', '[9976, 2494, -4*w^4 - 3*w^3 + 32*w^2 + 26*w - 22]', '[9978, 9978, -27*w^4 - 13*w^3 + 209*w^2 + 101*w - 114]', '[9979, 9979, -w^4 - w^3 + 9*w^2 + 11*w - 11]', '[9979, 9979, 41*w^4 + 23*w^3 - 316*w^2 - 176*w + 147]', '[9983, 9983, 24*w^4 + 13*w^3 - 187*w^2 - 99*w + 103]', '[9983, 9983, w^4 + 2*w^3 - 7*w^2 - 11*w - 1]', '[9986, 9986, w^4 + w^3 - 5*w^2 - 7*w]', '[9986, 9986, 21*w^4 + 11*w^3 - 164*w^2 - 83*w + 94]', '[9987, 9987, -4*w^4 - 2*w^3 + 31*w^2 + 17*w - 9]', '[9987, 9987, 13*w^4 + 7*w^3 - 103*w^2 - 60*w + 53]', '[9988, 4994, 10*w^4 + 6*w^3 - 79*w^2 - 44*w + 42]', '[9992, 2498, 8*w^4 + 5*w^3 - 62*w^2 - 36*w + 24]', '[9993, 9993, -16*w^4 - 9*w^3 + 122*w^2 + 71*w - 51]', '[9993, 9993, 4*w^4 - 32*w^2 - 8*w + 9]', '[9996, 714, 20*w^4 + 10*w^3 - 155*w^2 - 78*w + 86]', '[9998, 9998, -w^3 + 3*w^2 + 5*w - 6]', '[9998, 9998, 4*w^4 + 2*w^3 - 30*w^2 - 21*w + 14]'], 'label': '5.5.179024.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w]', '[3, 3, 2*w^4 + w^3 - 15*w^2 - 7*w + 7]', '[11, 11, 2*w^4 + w^3 - 16*w^2 - 9*w + 9]', '[17, 17, w^4 + w^3 - 8*w^2 - 6*w + 5]', '[29, 29, w^4 - 8*w^2 + 3]', '[43, 43, 6*w^4 + 3*w^3 - 46*w^2 - 24*w + 21]', '[43, 43, 2*w^4 + w^3 - 15*w^2 - 6*w + 7]', '[47, 47, 3*w^4 + w^3 - 23*w^2 - 9*w + 11]', '[47, 47, w^4 + w^3 - 8*w^2 - 7*w + 3]', '[49, 7, -w^4 + 8*w^2 + 2*w - 5]', '[53, 53, -6*w^4 - 3*w^3 + 46*w^2 + 23*w - 23]', '[53, 53, 2*w^4 + w^3 - 15*w^2 - 7*w + 5]', '[59, 59, 13*w^4 + 7*w^3 - 101*w^2 - 54*w + 55]', '[67, 67, 5*w^4 + 3*w^3 - 39*w^2 - 23*w + 19]', '[67, 67, 4*w^4 + 2*w^3 - 32*w^2 - 16*w + 19]', '[71, 71, 4*w^4 + 3*w^3 - 31*w^2 - 22*w + 15]', '[71, 71, 9*w^4 + 5*w^3 - 70*w^2 - 38*w + 39]', '[71, 71, 4*w^4 + w^3 - 31*w^2 - 8*w + 17]', '[81, 3, -5*w^4 - 2*w^3 + 38*w^2 + 17*w - 19]', '[83, 83, -3*w^4 - w^3 + 24*w^2 + 9*w - 13]', '[89, 89, 7*w^4 + 3*w^3 - 54*w^2 - 24*w + 27]', '[89, 89, 4*w^4 + 2*w^3 - 30*w^2 - 15*w + 11]', '[107, 107, 4*w^4 + 2*w^3 - 32*w^2 - 15*w + 19]', '[109, 109, 4*w^4 + 2*w^3 - 30*w^2 - 16*w + 11]', '[113, 113, 2*w^4 + w^3 - 16*w^2 - 8*w + 13]', '[113, 113, -3*w^4 - 2*w^3 + 23*w^2 + 15*w - 13]', '[137, 137, -2*w^4 - w^3 + 16*w^2 + 6*w - 11]', '[139, 139, 5*w^4 + 3*w^3 - 39*w^2 - 22*w + 21]', '[139, 139, w^2 + w - 3]', '[149, 149, 2*w^4 + w^3 - 16*w^2 - 10*w + 9]', '[151, 151, w^4 + w^3 - 8*w^2 - 9*w + 5]', '[157, 157, -7*w^4 - 3*w^3 + 54*w^2 + 24*w - 25]', '[167, 167, 2*w^4 + w^3 - 16*w^2 - 9*w + 11]', '[167, 167, -14*w^4 - 7*w^3 + 109*w^2 + 54*w - 59]', '[173, 173, 6*w^4 + 3*w^3 - 46*w^2 - 23*w + 25]', '[179, 179, w^3 - 6*w + 1]', '[179, 179, 10*w^4 + 4*w^3 - 77*w^2 - 32*w + 39]', '[179, 179, -3*w^4 - 2*w^3 + 24*w^2 + 16*w - 13]', '[191, 191, 7*w^4 + 4*w^3 - 54*w^2 - 30*w + 29]', '[193, 193, -3*w^4 - w^3 + 24*w^2 + 8*w - 15]', '[197, 197, 7*w^4 + 3*w^3 - 54*w^2 - 26*w + 29]', '[197, 197, -w^4 - w^3 + 8*w^2 + 6*w - 7]', '[199, 199, -2*w^4 - w^3 + 15*w^2 + 6*w - 5]', '[199, 199, 2*w^4 + 2*w^3 - 15*w^2 - 15*w + 3]', '[227, 227, 3*w^4 + w^3 - 23*w^2 - 10*w + 15]', '[229, 229, -7*w^4 - 4*w^3 + 53*w^2 + 31*w - 21]', '[229, 229, -4*w^4 - 2*w^3 + 31*w^2 + 17*w - 17]', '[229, 229, -10*w^4 - 6*w^3 + 78*w^2 + 46*w - 43]', '[233, 233, -w^4 + 7*w^2 + w + 1]', '[239, 239, w^2 - 3]', '[241, 241, 8*w^4 + 4*w^3 - 62*w^2 - 30*w + 31]', '[257, 257, -2*w^4 - 2*w^3 + 15*w^2 + 14*w - 3]', '[269, 269, 7*w^4 + 4*w^3 - 55*w^2 - 30*w + 31]', '[269, 269, -5*w^4 - 3*w^3 + 38*w^2 + 23*w - 19]', '[269, 269, 6*w^4 + 2*w^3 - 47*w^2 - 16*w + 27]', '[277, 277, -6*w^4 - 2*w^3 + 47*w^2 + 18*w - 25]', '[281, 281, -10*w^4 - 4*w^3 + 77*w^2 + 30*w - 41]', '[307, 307, 5*w^4 + 2*w^3 - 38*w^2 - 16*w + 19]', '[313, 313, 18*w^4 + 9*w^3 - 139*w^2 - 69*w + 71]', '[313, 313, -16*w^4 - 8*w^3 + 123*w^2 + 62*w - 57]', '[317, 317, -8*w^4 - 3*w^3 + 61*w^2 + 24*w - 27]', '[317, 317, 10*w^4 + 5*w^3 - 77*w^2 - 40*w + 41]', '[331, 331, 5*w^4 + 2*w^3 - 39*w^2 - 16*w + 19]', '[331, 331, -19*w^4 - 10*w^3 + 147*w^2 + 77*w - 73]', '[337, 337, 4*w^4 + 2*w^3 - 30*w^2 - 16*w + 9]', '[343, 7, -13*w^4 - 6*w^3 + 101*w^2 + 47*w - 53]', '[347, 347, -5*w^4 - 3*w^3 + 39*w^2 + 24*w - 21]', '[347, 347, -9*w^4 - 5*w^3 + 70*w^2 + 39*w - 39]', '[349, 349, w^4 - 9*w^2 + w + 9]', '[353, 353, 2*w^4 - 16*w^2 - 2*w + 9]', '[367, 367, 9*w^4 + 4*w^3 - 70*w^2 - 30*w + 37]', '[383, 383, 5*w^4 + 3*w^3 - 39*w^2 - 21*w + 21]', '[389, 389, -w^4 + 8*w^2 + 2*w - 7]', '[397, 397, -8*w^4 - 4*w^3 + 63*w^2 + 31*w - 35]', '[397, 397, -6*w^4 - 3*w^3 + 47*w^2 + 25*w - 25]', '[401, 401, w^2 - 5]', '[419, 419, -4*w^4 - 2*w^3 + 32*w^2 + 18*w - 19]', '[419, 419, 6*w^4 + 3*w^3 - 46*w^2 - 22*w + 21]', '[433, 433, 6*w^4 + 2*w^3 - 48*w^2 - 16*w + 33]', '[433, 433, 2*w^4 + 2*w^3 - 14*w^2 - 15*w - 1]', '[433, 433, -11*w^4 - 7*w^3 + 84*w^2 + 53*w - 37]', '[457, 457, -8*w^4 - 5*w^3 + 62*w^2 + 37*w - 31]', '[457, 457, -13*w^4 - 7*w^3 + 101*w^2 + 54*w - 53]', '[457, 457, w^4 + w^3 - 7*w^2 - 8*w + 3]', '[463, 463, w^4 - 8*w^2 - w + 9]', '[487, 487, -8*w^4 - 3*w^3 + 62*w^2 + 26*w - 33]', '[491, 491, 6*w^4 + 2*w^3 - 47*w^2 - 17*w + 27]', '[491, 491, 13*w^4 + 6*w^3 - 100*w^2 - 47*w + 49]', '[499, 499, -12*w^4 - 5*w^3 + 94*w^2 + 40*w - 53]', '[499, 499, -w^4 + 8*w^2 - w - 5]', '[503, 503, -4*w^4 - 2*w^3 + 30*w^2 + 18*w - 17]', '[509, 509, -5*w^4 - 2*w^3 + 40*w^2 + 15*w - 25]', '[509, 509, -9*w^4 - 3*w^3 + 71*w^2 + 24*w - 45]', '[521, 521, 4*w^4 + 2*w^3 - 32*w^2 - 16*w + 23]', '[529, 23, 4*w^4 + 3*w^3 - 31*w^2 - 21*w + 17]', '[541, 541, w^4 + 2*w^3 - 9*w^2 - 12*w + 5]', '[547, 547, -7*w^4 - 3*w^3 + 55*w^2 + 24*w - 29]', '[547, 547, -12*w^4 - 6*w^3 + 94*w^2 + 47*w - 53]', '[563, 563, -5*w^4 - 3*w^3 + 38*w^2 + 23*w - 13]', '[563, 563, 2*w^4 + w^3 - 17*w^2 - 6*w + 13]', '[563, 563, -11*w^4 - 6*w^3 + 85*w^2 + 45*w - 45]', '[569, 569, 6*w^4 + 3*w^3 - 47*w^2 - 22*w + 23]', '[577, 577, -2*w^4 + 13*w^2 + 5*w - 3]', '[587, 587, -7*w^4 - 4*w^3 + 55*w^2 + 31*w - 31]', '[587, 587, 7*w^4 + 4*w^3 - 54*w^2 - 29*w + 29]', '[593, 593, 14*w^4 + 7*w^3 - 109*w^2 - 53*w + 61]', '[593, 593, -4*w^4 - w^3 + 31*w^2 + 11*w - 15]', '[599, 599, -9*w^4 - 5*w^3 + 70*w^2 + 40*w - 35]', '[607, 607, -13*w^4 - 6*w^3 + 102*w^2 + 46*w - 61]', '[607, 607, 8*w^4 + 4*w^3 - 63*w^2 - 33*w + 35]', '[607, 607, -6*w^4 - 2*w^3 + 46*w^2 + 15*w - 21]', '[613, 613, -6*w^4 - 3*w^3 + 48*w^2 + 20*w - 25]', '[613, 613, -w^4 + 8*w^2 - w - 7]', '[617, 617, 2*w^4 + 2*w^3 - 15*w^2 - 13*w + 7]', '[619, 619, -w^4 + w^3 + 8*w^2 - 7*w - 5]', '[643, 643, -3*w^4 - 2*w^3 + 24*w^2 + 14*w - 17]', '[647, 647, -9*w^4 - 5*w^3 + 70*w^2 + 38*w - 41]', '[653, 653, -7*w^4 - 2*w^3 + 53*w^2 + 20*w - 29]', '[659, 659, 6*w^4 + 3*w^3 - 47*w^2 - 23*w + 23]', '[677, 677, w^4 + w^3 - 8*w^2 - 5*w + 1]', '[677, 677, 4*w^4 + 3*w^3 - 30*w^2 - 23*w + 11]', '[677, 677, -9*w^4 - 4*w^3 + 71*w^2 + 31*w - 43]', '[683, 683, -14*w^4 - 6*w^3 + 108*w^2 + 47*w - 55]', '[701, 701, 13*w^4 + 7*w^3 - 100*w^2 - 53*w + 51]', '[709, 709, 10*w^4 + 6*w^3 - 77*w^2 - 44*w + 37]', '[719, 719, -9*w^4 - 4*w^3 + 69*w^2 + 32*w - 35]', '[719, 719, 7*w^4 + 4*w^3 - 54*w^2 - 28*w + 31]', '[719, 719, 12*w^4 + 6*w^3 - 93*w^2 - 45*w + 49]', '[727, 727, -7*w^4 - 3*w^3 + 53*w^2 + 25*w - 25]', '[733, 733, 6*w^4 + 3*w^3 - 46*w^2 - 25*w + 19]', '[751, 751, -9*w^4 - 4*w^3 + 69*w^2 + 31*w - 37]', '[761, 761, -13*w^4 - 5*w^3 + 101*w^2 + 39*w - 55]', '[761, 761, 13*w^4 + 8*w^3 - 101*w^2 - 61*w + 53]', '[773, 773, -8*w^4 - 4*w^3 + 62*w^2 + 30*w - 37]', '[773, 773, -w^4 - w^3 + 7*w^2 + 9*w - 1]', '[773, 773, -10*w^4 - 6*w^3 + 77*w^2 + 46*w - 39]', '[809, 809, -8*w^4 - 5*w^3 + 63*w^2 + 36*w - 33]', '[809, 809, -7*w^4 - 3*w^3 + 55*w^2 + 25*w - 33]', '[809, 809, -5*w^4 - 4*w^3 + 38*w^2 + 30*w - 13]', '[811, 811, 9*w^4 + 4*w^3 - 70*w^2 - 33*w + 35]', '[821, 821, -6*w^4 - 3*w^3 + 45*w^2 + 23*w - 21]', '[823, 823, -6*w^4 - 3*w^3 + 47*w^2 + 25*w - 29]', '[827, 827, 12*w^4 + 6*w^3 - 92*w^2 - 45*w + 45]', '[841, 29, 3*w^4 + w^3 - 24*w^2 - 11*w + 15]', '[841, 29, -2*w^4 - 2*w^3 + 15*w^2 + 12*w - 7]', '[853, 853, -3*w^4 - w^3 + 22*w^2 + 7*w - 5]', '[857, 857, w^4 - w^3 - 8*w^2 + 6*w + 3]', '[859, 859, -7*w^4 - 4*w^3 + 55*w^2 + 28*w - 31]', '[859, 859, -5*w^4 - 2*w^3 + 40*w^2 + 16*w - 27]', '[877, 877, -14*w^4 - 7*w^3 + 109*w^2 + 55*w - 61]', '[877, 877, 2*w^4 + 3*w^3 - 15*w^2 - 22*w + 3]', '[881, 881, -8*w^4 - 3*w^3 + 61*w^2 + 23*w - 29]', '[883, 883, 7*w^4 + 3*w^3 - 53*w^2 - 25*w + 21]', '[929, 929, -4*w^4 - 2*w^3 + 30*w^2 + 19*w - 17]', '[947, 947, -9*w^4 - 6*w^3 + 71*w^2 + 45*w - 43]', '[947, 947, -6*w^4 - 4*w^3 + 48*w^2 + 27*w - 27]', '[953, 953, 5*w^4 + 2*w^3 - 40*w^2 - 16*w + 23]', '[961, 31, -3*w^4 - 3*w^3 + 23*w^2 + 23*w - 9]']}
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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 6, 0, -8, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 179024, 'disc_rad': 22378, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1], [1, 1]]], [5, [[5, 1]]], [7, [[3, 1], [2, 1]]], [11, [[4, 1], [1, 1]]], [13, [[5, 1]]], [17, [[4, 1], [1, 1]]], [19, [[5, 1]]], [23, [[3, 1], [2, 1]]], [29, [[2, 2], [1, 1]]], [31, [[3, 1], [2, 1]]], [37, [[3, 1], [2, 1]]], [41, [[5, 1]]], [43, [[3, 1], [1, 2]]], [47, [[3, 1], [1, 2]]], [53, [[3, 1], [1, 2]]], [59, [[4, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [96, 60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 184.17031608098438, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.179024.1', 'local_algs': ['2.5.4.1', '67.1.0.1', '67.2.1.2', '67.2.0.1', '167.1.0.1', '167.2.0.1', '167.2.1.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 67, 167], 'rd': 11.2352373438, 'regulator': {'__RealLiteral__': 0, 'data': '15.1926139168', 'prec': 44}, 'res': {'sib': ['-1,14,48,-1055,769,21421,-31801,-186640,300056,870658,-1305336,-2383348,3096655,3921474,-4384190,-3901481,3905158,2328017,-2242951,-803399,829340,141147,-192391,-5011,26434,-2255,-1883,343,43,-15,1', '-1637,-81098,300934,346623,-2252777,1316030,3092960,-2906252,-1662442,2109718,357996,-727096,-3251,129022,-10664,-11621,1584,464,-80,-5,1', '-220913216,-8755792704,-48543209920,198389360576,2615394256,-664560278696,650899400392,492874217236,-1169490629388,414964441562,497236781513,-462201867520,3761160307,150837672102,-52131812903,-18510185328,14738508840,-533957330,-1838058531,397392806,104868905,-45328024,-980767,2437982,-181290,-66852,8861,866,-159,-4,1', '-259911,-9655042,-12247025,232061985,641768621,-888527305,-4656608703,-2190500860,9167538149,10724663930,-4869707097,-12834664097,-2124294894,6552725755,3014938704,-1571602793,-1216370772,153985085,257695176,6133569,-33041612,-3107117,2724806,333055,-148076,-17657,5222,473,-109,-5,1', '-786330101,-705370583,337064965,29351524,-14769257,-539279,179983,2978,-753,-5,1', '1,5,-51,-167,452,1401,-1395,-4779,1656,7613,-967,-6475,458,3079,-259,-799,98,103,-17,-5,1', '1,5,-67,62,87,-109,-11,46,-11,-3,1', '25,19480,254793,80400,-6673299,-672878,53001073,-18723590,-136994893,65475696,119589104,-57241028,-47141385,22142972,9393462,-4532258,-951669,516136,41753,-32068,-14,996,-50,-12,1', '33,-2569,27315,75797,-1687,-88435,-20505,36387,9047,-7399,-1511,807,111,-45,-3,1', '401893870401,0,-15905802431565,0,132382589118638,0,-467116973488259,0,906941435118722,0,-1104016054606455,0,910687375619780,0,-535555067378831,0,232359471957993,0,-76109638454934,0,19100444457292,0,-3702519060442,0,555662587053,0,-64350700767,0,5696882532,0,-379087231,0,18455190,0,-629927,0,14062,0,-181,0,1', '484,-1365,641,94,-58,-1,1', '576,0,-55988,0,56388,0,-15960,0,1624,0,-68,0,1', '7453601284,-77649514244,-33857582208,151641017824,85401565484,-60983134082,-38463551388,9748516212,7306220090,-708474894,-723482167,20700482,40646521,76434,-1336098,-17348,25244,338,-251,-2,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} + a^{3} - 8 a^{2} - 7 a + 5 \\)', '\\( 2 a^{4} + a^{3} - 15 a^{2} - 8 a + 7 \\)', '\\( 3 a^{4} + 2 a^{3} - 23 a^{2} - 15 a + 11 \\)', '\\( 5 a^{4} + 2 a^{3} - 39 a^{2} - 16 a + 23 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}