Hilbert modular form data - 5.5.126032.1-6.1-b

Formats: - HTML - YAML - JSON - 2024-06-10T17:56:55.798725

• hmf_forms •

  Column	Type
  deg	smallint
  dimension	integer
  disc	bigint
  field_bad_primes	integer[]
  field_label	text
  is_CM	text
  is_base_change	text
  label	text
  label_nsuffix	smallint
  label_suffix	text
  level_bad_primes	integer[]
  level_ideal	text
  level_label	text
  level_norm	integer
  parallel_weight	smallint
  short_label	text
  weight	text

  
  {'deg': 5, 'dimension': 1, 'disc': 126032, 'field_bad_primes': [2, 7877], 'field_label': '5.5.126032.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '5.5.126032.1-6.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 3], 'level_ideal': '[6, 6, w^4 + w^3 - 6*w^2 - 5*w + 4]', 'level_label': '6.1', 'level_norm': 6, 'parallel_weight': 2, 'short_label': '6.1-b', 'weight': '[2, 2, 2, 2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', -1], ['[3, 3, w^4 - 5*w^2 - w + 3]', 1]], 'hecke_eigenvalues': [1, -1, -3, -8, 3, -5, -3, 0, 10, 3, -3, 6, -9, 3, -8, -5, 7, 8, -3, 12, 6, 12, 11, 15, -6, 6, 12, 21, 0, 15, 18, -23, -4, -1, -2, 18, -11, 2, 24, 22, 8, 16, 0, 0, 14, 4, -18, -30, -14, 18, 16, -25, -26, 2, -6, -18, 24, 4, 26, 11, -28, 28, -16, -18, 12, 36, 36, -28, -22, -22, 0, -6, 1, -6, -15, 22, -13, 33, 18, -27, 0, -15, -6, -26, -17, -32, -6, 35, -42, -25, 0, -14, 20, -1, -26, -8, -19, 30, -30, -27, -22, -24, -6, 6, -40, -22, 8, -13, 32, -28, 6, -18, 1, -30, 3, -22, -19, -42, 22, 34, 33, 1, 2, -51, 44, 46, -20, 6, 33, -27, -26, 30, 0, 3, -16, 31, -32, -18, -30, -25, 20, -34, -45, 26, 36, 18, 4, 16, 22, 26, 55, 37, -43, -9, 27, -13, -21, -42, 44, 45, -6, -18, -52, 53, 29, -33, 12, 20], 'hecke_polynomial': 'x', 'label': '5.5.126032.1-6.1-b'}
• hmf_fields •

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

  
  {'degree': 5, 'discriminant': 126032, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, w^4 - 5*w^2 - w + 3]', '[4, 2, -w^4 + 5*w^2 - 2]', '[6, 6, w^4 + w^3 - 6*w^2 - 5*w + 4]', '[8, 2, -w^4 - w^3 + 6*w^2 + 4*w - 4]', '[9, 9, w^4 + w^3 - 6*w^2 - 4*w + 5]', '[12, 6, -w^3 + w^2 + 4*w - 4]', '[16, 2, w^4 - 6*w^2 + 6]', '[18, 18, -w^2 + w + 2]', '[23, 23, -w^2 + 3]', '[24, 6, w^3 - 4*w]', '[25, 5, w^3 - 5*w + 1]', '[27, 27, w^3 - w^2 - 4*w + 1]', '[29, 29, -w^2 + w + 1]', '[32, 2, 2]', '[36, 18, -w^4 + 5*w^2 - 4]', '[37, 37, -w^4 + 5*w^2 + 2*w - 1]', '[41, 41, w^3 - 4*w - 1]', '[41, 41, -2*w^4 - w^3 + 10*w^2 + 6*w - 5]', '[43, 43, 2*w^4 + w^3 - 11*w^2 - 5*w + 7]', '[46, 46, -w^3 + 3*w]', '[47, 47, 2*w^4 + 2*w^3 - 11*w^2 - 9*w + 9]', '[48, 6, w^4 - 6*w^2 - 2*w + 6]', '[50, 10, -w^2 + w + 4]', '[53, 53, w^4 + w^3 - 6*w^2 - 6*w + 5]', '[53, 53, 2*w^4 - 11*w^2 - 2*w + 5]', '[53, 53, -2*w^3 + w^2 + 9*w - 5]', '[54, 54, 2*w^4 - 10*w^2 - w + 4]', '[58, 58, -2*w^4 + 11*w^2 + w - 6]', '[59, 59, -w^4 + 6*w^2 + w - 3]', '[61, 61, w^4 + w^3 - 7*w^2 - 5*w + 7]', '[64, 4, 2*w]', '[69, 69, 2*w^4 + w^3 - 12*w^2 - 5*w + 9]', '[72, 18, -w^4 - w^3 + 6*w^2 + 6*w - 6]', '[73, 73, -4*w^4 - w^3 + 23*w^2 + 6*w - 19]', '[74, 74, -2*w^4 + 10*w^2 + 3*w - 6]', '[75, 15, w^4 + w^3 - 5*w^2 - 4*w + 1]', '[79, 79, -2*w^4 - w^3 + 12*w^2 + 4*w - 9]', '[81, 3, w^4 - w^3 - 5*w^2 + 2*w + 1]', '[81, 81, 2*w^4 - 11*w^2 - 2*w + 7]', '[82, 82, w^4 - 4*w^2 - w]', '[82, 82, w^4 - w^3 - 5*w^2 + 3*w + 2]', '[83, 83, -w^3 - w^2 + 4*w + 3]', '[83, 83, -2*w^4 + 11*w^2 - 7]', '[86, 86, w^4 + w^3 - 5*w^2 - 5*w + 4]', '[87, 87, 2*w^4 + 2*w^3 - 12*w^2 - 9*w + 9]', '[89, 89, w^4 - 4*w^2 - 1]', '[89, 89, 2*w^4 - 11*w^2 - w + 9]', '[92, 46, w^4 + w^3 - 5*w^2 - 6*w + 4]', '[94, 94, 2*w^4 + w^3 - 9*w^2 - 3*w + 4]', '[96, 6, 2*w^4 - 10*w^2 - 2*w + 6]', '[97, 97, 2*w^4 + 2*w^3 - 11*w^2 - 9*w + 7]', '[100, 10, -w^3 + w^2 + 4*w]', '[101, 101, 4*w^4 + 3*w^3 - 23*w^2 - 16*w + 17]', '[101, 101, -3*w^4 - w^3 + 16*w^2 + 7*w - 11]', '[106, 106, w^4 - 6*w^2 - w + 2]', '[106, 106, w^3 - 2*w^2 - 7*w + 4]', '[106, 106, 2*w^4 - 10*w^2 - w + 6]', '[107, 107, -w^3 + w^2 + 5*w - 1]', '[108, 54, -2*w^4 - w^3 + 11*w^2 + 6*w - 10]', '[111, 111, -w^4 - w^3 + 7*w^2 + 6*w - 7]', '[116, 58, -2*w^4 - 2*w^3 + 11*w^2 + 10*w - 8]', '[118, 118, w^2 + 3*w - 2]', '[122, 122, 2*w^4 + w^3 - 10*w^2 - 5*w + 6]', '[123, 123, 2*w^4 - 12*w^2 - 2*w + 11]', '[123, 123, -w^3 + w^2 + 2*w - 3]', '[125, 5, w^4 + 2*w^3 - 5*w^2 - 8*w + 3]', '[128, 4, -2*w^4 + 10*w^2 - 4]', '[129, 129, w^4 + w^3 - 7*w^2 - 4*w + 9]', '[131, 131, 2*w^3 - 2*w^2 - 8*w + 3]', '[131, 131, -w^4 - w^3 + 7*w^2 + 4*w - 5]', '[131, 131, -2*w^4 + 10*w^2 + w - 5]', '[137, 137, -3*w^4 - w^3 + 16*w^2 + 7*w - 9]', '[138, 138, w^4 - 5*w^2 - 3*w + 4]', '[139, 139, -w^4 - w^3 + 7*w^2 + 7*w - 5]', '[141, 141, 2*w^4 - 11*w^2 + 9]', '[144, 18, -3*w^4 - 2*w^3 + 16*w^2 + 10*w - 8]', '[146, 146, -w^4 - w^3 + 6*w^2 + 5*w - 8]', '[148, 74, 2*w^4 + w^3 - 11*w^2 - 4*w + 8]', '[150, 30, -3*w^4 - w^3 + 15*w^2 + 7*w - 6]', '[151, 151, 2*w^4 + 2*w^3 - 12*w^2 - 10*w + 9]', '[158, 158, -w^4 + 4*w^2 + 3*w - 4]', '[159, 159, w^3 - 2*w^2 - 5*w + 7]', '[159, 159, w^4 - w^3 - 5*w^2 + 3*w + 3]', '[159, 159, -2*w^4 - w^3 + 10*w^2 + 4*w - 5]', '[162, 6, -w^4 + w^3 + 2*w^2 - 5*w + 2]', '[162, 162, 2*w^4 + 2*w^3 - 11*w^2 - 9*w + 8]', '[163, 163, w^4 - w^3 - 4*w^2 + 2*w - 1]', '[163, 163, w^4 + w^3 - 6*w^2 - 3*w + 7]', '[164, 82, w^4 + 2*w^3 - 7*w^2 - 10*w + 8]', '[164, 82, -w^4 + 5*w^2 + 2*w]', '[166, 166, -w^4 - w^3 + 4*w^2 + 3*w]', '[166, 166, -w^3 + 5*w - 4]', '[172, 86, -2*w^3 + w^2 + 8*w - 2]', '[173, 173, -w^2 - 1]', '[174, 174, -2*w^4 - w^3 + 12*w^2 + 7*w - 10]', '[177, 177, -w^3 + 2*w^2 + 4*w - 5]', '[178, 178, -3*w^4 + 15*w^2 + w - 4]', '[178, 178, w^3 - w^2 - 3*w + 4]', '[181, 181, w^4 - 5*w^2 - 1]', '[181, 181, w^4 + w^3 - 5*w^2 - 5*w - 1]', '[183, 183, 3*w^4 + w^3 - 18*w^2 - 5*w + 17]', '[184, 46, -w^3 + 2*w^2 + 6*w - 4]', '[188, 94, -2*w^4 + w^3 + 9*w^2 - 6*w - 4]', '[192, 12, 2*w^4 + 2*w^3 - 12*w^2 - 10*w + 8]', '[194, 194, 2*w^4 + w^3 - 9*w^2 - 5*w + 4]', '[197, 197, -2*w^4 + 10*w^2 - 3]', '[200, 10, -3*w^4 - w^3 + 16*w^2 + 6*w - 10]', '[202, 202, -w^4 - 2*w^3 + 7*w^2 + 7*w - 6]', '[202, 202, 3*w^4 + w^3 - 16*w^2 - 7*w + 8]', '[207, 207, -2*w^4 - 2*w^3 + 12*w^2 + 11*w - 7]', '[211, 211, w^4 + w^3 - 5*w^2 - 5*w + 5]', '[212, 106, -w^4 + 2*w^3 + 5*w^2 - 8*w]', '[212, 106, 2*w^4 - 2*w^3 - 7*w^2 + 10*w - 6]', '[212, 106, w^4 + w^3 - 7*w^2 - 6*w + 6]', '[214, 214, w^4 + 2*w^3 - 6*w^2 - 11*w + 6]', '[216, 54, -2*w^4 - w^3 + 12*w^2 + 6*w - 8]', '[219, 219, -3*w^4 - w^3 + 18*w^2 + 8*w - 17]', '[222, 222, -w^4 + w^3 + 5*w^2 - 5*w - 2]', '[223, 223, w^4 + 2*w^3 - 7*w^2 - 6*w + 7]', '[223, 223, -w^4 - 2*w^3 + 7*w^2 + 8*w - 7]', '[225, 45, -2*w^4 + 10*w^2 + 3*w - 5]', '[227, 227, -w^4 - w^3 + 4*w^2 + 5*w - 1]', '[227, 227, -2*w^4 - w^3 + 12*w^2 + 7*w - 11]', '[229, 229, -w^4 + w^3 + 5*w^2 - 2*w - 3]', '[229, 229, w^4 - 6*w^2 - 2*w + 7]', '[232, 58, 3*w^4 + w^3 - 16*w^2 - 6*w + 12]', '[233, 233, 3*w^4 - 17*w^2 - 3*w + 13]', '[236, 118, -w^4 + w^3 + 3*w^2 - 6*w + 4]', '[237, 237, -2*w^4 - 3*w^3 + 15*w^2 + 11*w - 17]', '[239, 239, w^4 - w^3 - 4*w^2 + 4*w + 1]', '[241, 241, w^4 + w^3 - 5*w^2 - 3*w + 1]', '[243, 3, 3]', '[243, 243, 2*w^4 + w^3 - 13*w^2 - 7*w + 11]', '[244, 122, -w^4 - w^3 + 5*w^2 + 4*w]', '[246, 246, -2*w^2 - w + 4]', '[246, 246, 2*w^4 + 2*w^3 - 12*w^2 - 9*w + 12]', '[249, 249, 3*w^4 + 2*w^3 - 18*w^2 - 11*w + 15]', '[249, 249, -2*w^4 - 3*w^3 + 14*w^2 + 13*w - 17]', '[250, 10, -2*w^4 - 3*w^3 + 11*w^2 + 15*w - 8]', '[256, 4, -2*w^4 - 2*w^3 + 12*w^2 + 8*w - 8]', '[257, 257, -w^4 + 5*w^2 + w + 1]', '[258, 258, w^4 - w^3 - 4*w^2 + 3*w + 2]', '[261, 261, -w^4 + 4*w^2 + 3]', '[262, 262, 2*w^4 - 2*w^3 - 8*w^2 + 3*w]', '[262, 262, -w^4 + w^3 + 4*w^2 + w - 2]', '[262, 262, -2*w^4 - 2*w^3 + 12*w^2 + 11*w - 8]', '[267, 267, -2*w^4 + 11*w^2 + w - 5]', '[267, 267, 4*w^4 + 2*w^3 - 23*w^2 - 12*w + 21]', '[271, 271, -4*w^4 - w^3 + 24*w^2 + 7*w - 21]', '[274, 274, -w^4 - 2*w^3 + 7*w^2 + 9*w - 6]', '[276, 138, -w^4 - w^3 + 7*w^2 + 6*w - 10]', '[277, 277, 2*w^4 + w^3 - 10*w^2 - 6*w + 7]', '[278, 278, w^4 + 2*w^3 - 6*w^2 - 11*w + 4]', '[282, 282, -2*w^4 - 2*w^3 + 9*w^2 + 9*w]', '[283, 283, -2*w^4 + 9*w^2 + 2*w - 3]', '[288, 18, 2*w^4 + 2*w^3 - 12*w^2 - 8*w + 10]', '[289, 17, 3*w^4 + w^3 - 17*w^2 - 6*w + 11]', '[291, 291, -w^2 + 2*w + 3]', '[292, 146, -w^4 + 5*w^2 - 2*w - 2]', '[293, 293, -w^4 - 2*w^3 + 6*w^2 + 10*w - 7]', '[293, 293, 2*w^4 + 2*w^3 - 12*w^2 - 11*w + 11]', '[293, 293, -6*w^4 - 3*w^3 + 34*w^2 + 17*w - 27]', '[296, 74, w^3 - 2*w^2 - 4*w + 6]', '[300, 30, 2*w^4 - 11*w^2 - 2*w + 4]', '[302, 302, 2*w^4 - 10*w^2 - 3*w + 4]', '[303, 303, -3*w^4 + 16*w^2 + 4*w - 15]', '[303, 303, 3*w^4 + w^3 - 16*w^2 - 6*w + 11]', '[307, 307, 3*w^4 - w^3 - 15*w^2 + 3*w + 3]', '[307, 307, -3*w^4 - w^3 + 19*w^2 + 6*w - 21]', '[307, 307, w^2 - 2*w - 5]', '[316, 158, w^4 + 2*w^3 - 7*w^2 - 10*w + 12]', '[318, 318, -w^4 - 2*w^3 + 6*w^2 + 11*w - 2]', '[318, 318, 2*w^4 - 9*w^2 - w]', '[318, 318, -2*w^4 - w^3 + 10*w^2 + 7*w - 2]', '[321, 321, w^4 + w^3 - 5*w^2 - 6*w + 5]', '[324, 6, 2*w^4 - 2*w^3 - 7*w^2 + 10*w - 4]', '[324, 162, -w^4 - 2*w^3 + 5*w^2 + 10*w - 2]', '[326, 326, -w^4 + 2*w^3 + 2*w^2 - 7*w + 2]', '[326, 326, w^4 - 3*w^2 + w + 2]', '[328, 82, -3*w^4 - w^3 + 18*w^2 + 6*w - 14]', '[328, 82, -4*w^4 - w^3 + 22*w^2 + 8*w - 16]', '[331, 331, 2*w^4 - 11*w^2 - 3*w + 7]', '[332, 166, -2*w^4 - 2*w^3 + 13*w^2 + 12*w - 12]', '[332, 166, 4*w^3 - 3*w^2 - 18*w + 14]', '[333, 333, -2*w^4 + 12*w^2 + w - 9]', '[337, 337, -w^4 + 6*w^2 - w - 5]', '[337, 337, 2*w^4 + 2*w^3 - 12*w^2 - 9*w + 11]', '[344, 86, w^3 - 4*w - 4]', '[346, 346, -w^3 - w]', '[347, 347, w^4 - w^3 - 4*w^2 + 3*w - 3]', '[347, 347, w^4 - w^3 - 6*w^2 + 3*w + 5]', '[348, 174, -w^4 + w^3 + 5*w^2 - 4*w - 4]', '[354, 354, w^3 - w^2 - 5*w]', '[356, 178, w^4 + 2*w^3 - 7*w^2 - 8*w + 8]', '[356, 178, -2*w^4 - 3*w^3 + 13*w^2 + 14*w - 16]', '[359, 359, -2*w^4 - w^3 + 11*w^2 + 4*w - 7]', '[359, 359, -3*w^4 - 2*w^3 + 14*w^2 + 9*w - 5]', '[362, 362, w^3 - 7*w + 2]', '[362, 362, -w^4 - w^3 + 5*w^2 + 7*w - 2]', '[366, 366, w^4 - 5*w^2 - w + 6]', '[367, 367, w^4 + 2*w^3 - 6*w^2 - 8*w + 7]', '[367, 367, -3*w^4 - w^3 + 15*w^2 + 5*w - 7]', '[368, 46, 3*w^4 - 16*w^2 - 2*w + 12]', '[369, 369, -3*w^4 - 2*w^3 + 18*w^2 + 10*w - 13]', '[369, 369, -w^4 - 2*w^3 + 7*w^2 + 10*w - 7]', '[373, 373, w^4 + w^3 - 5*w^2 - 4*w - 1]', '[375, 15, -w^4 - w^3 + 6*w^2 + 7*w - 5]', '[376, 94, w^3 - 6*w - 4]', '[384, 12, -2*w^3 + 2*w^2 + 8*w - 8]', '[387, 387, 2*w^4 + 2*w^3 - 11*w^2 - 12*w + 5]', '[388, 194, w^3 - w^2 - 6*w]', '[389, 389, w^4 - 2*w^3 - 4*w^2 + 7*w + 1]', '[389, 389, -w^4 + 7*w^2 - w - 9]', '[393, 393, -2*w^3 + 4*w^2 + 5*w - 7]', '[393, 393, -w^4 + 7*w^2 + w - 11]', '[393, 393, -w^4 + 3*w^2 + 5*w - 3]', '[394, 394, 3*w^4 + 2*w^3 - 18*w^2 - 11*w + 14]', '[397, 397, w^3 - 2*w^2 - 6*w + 7]', '[400, 10, -w^4 - 2*w^3 + 6*w^2 + 8*w - 6]', '[401, 401, -w^4 + w^3 + 7*w^2 - 3*w - 9]', '[404, 202, w^4 + 2*w^3 - 7*w^2 - 10*w + 6]', '[404, 202, w^4 + w^3 - 7*w^2 - 4*w + 10]', '[411, 411, -w^4 - 2*w^3 + 7*w^2 + 7*w - 7]', '[414, 414, w^4 - w^3 - 5*w^2 + 3*w + 6]', '[417, 417, w^3 + w^2 - 4*w - 1]', '[419, 419, 2*w^3 - 9*w + 1]', '[421, 421, 2*w^4 + w^3 - 11*w^2 - 4*w + 5]', '[421, 421, w^2 + w - 5]', '[422, 422, w^4 + w^3 - 5*w^2 - w + 2]', '[423, 423, 2*w^4 + w^3 - 11*w^2 - 3*w + 13]', '[424, 106, w^4 + w^3 - 4*w^2 - 6*w]', '[424, 106, w^4 + w^3 - 4*w^2 - 4*w - 2]', '[424, 106, -w^3 + 6*w]', '[428, 214, -2*w^4 + w^3 + 9*w^2 - 4]', '[431, 431, 3*w^4 + 3*w^3 - 18*w^2 - 13*w + 13]', '[431, 431, 2*w^2 + w - 5]', '[431, 431, 2*w^4 + 2*w^3 - 13*w^2 - 10*w + 13]', '[431, 431, w^3 + w^2 - 5*w - 3]', '[431, 431, -w^4 + 6*w^2 - w - 7]', '[432, 54, w^4 - 4*w^2 - 2*w - 2]', '[438, 438, -4*w^4 + 21*w^2 + 3*w - 14]', '[443, 443, w^4 + 2*w^3 - 5*w^2 - 9*w + 5]', '[444, 222, w^4 - w^3 - 5*w^2 + 4*w - 2]', '[446, 446, 2*w^4 - w^3 - 6*w^2 + w + 2]', '[446, 446, -2*w^4 + w^3 + 8*w^2 - w - 2]', '[450, 90, 2*w^4 + w^3 - 10*w^2 - 3*w + 6]', '[453, 453, 2*w^4 - 9*w^2 - 2*w + 5]', '[454, 454, -w^4 - 2*w^3 + 5*w^2 + 5*w - 2]', '[454, 454, -w^4 + 7*w^2 + w - 4]', '[457, 457, -2*w^4 - w^3 + 10*w^2 + 7*w - 7]', '[457, 457, 2*w^4 - 11*w^2 - 3*w + 5]', '[458, 458, w^4 - w^3 - 2*w^2 + 3*w - 2]', '[458, 458, 2*w^2 - w - 2]', '[463, 463, -3*w^4 - w^3 + 15*w^2 + 7*w - 7]', '[464, 58, w^4 - 6*w^2 - 2*w + 8]', '[466, 466, w^3 - 3*w^2 - 5*w + 6]', '[472, 118, -w^3 + 2*w + 2]', '[474, 474, -2*w^4 + w^3 + 10*w^2 - w - 8]', '[477, 477, -w^3 + w^2 + 3*w - 5]', '[477, 477, w^4 - w^3 - 7*w^2 + 2*w + 7]', '[477, 477, -2*w^2 + 5]', '[478, 478, -w^4 + 2*w^3 + 4*w^2 - 5*w + 2]', '[479, 479, 2*w^3 + w^2 - 7*w - 1]', '[482, 482, w^4 + w^3 - 3*w^2 - 5*w + 2]', '[486, 6, 3*w]', '[486, 486, w^4 - 6*w^2 + w + 6]', '[487, 487, -4*w^4 - 2*w^3 + 22*w^2 + 13*w - 9]', '[488, 122, -2*w^4 + w^3 + 10*w^2 - 8]', '[489, 489, 3*w^4 + 2*w^3 - 18*w^2 - 8*w + 15]', '[489, 489, -w^4 - w^3 + 7*w^2 + w - 3]', '[491, 491, 2*w^4 + 2*w^3 - 11*w^2 - 10*w + 9]', '[492, 246, 2*w^4 + w^3 - 11*w^2 - 4*w + 6]', '[492, 246, 3*w^4 + w^3 - 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7*w^2 - 6*w + 11]', '[547, 547, 6*w^4 + 4*w^3 - 35*w^2 - 21*w + 29]', '[548, 274, -2*w^4 + w^3 + 9*w^2 - 2]', '[549, 549, 3*w^4 - 17*w^2 - 5*w + 15]', '[552, 138, w^3 - 6*w - 2]', '[554, 554, w^4 + 2*w^3 - 6*w^2 - 5*w + 4]', '[556, 278, w^3 - w^2 - 2*w + 4]', '[557, 557, 6*w^4 + 2*w^3 - 34*w^2 - 13*w + 25]', '[557, 557, 5*w^4 + 4*w^3 - 30*w^2 - 21*w + 27]', '[564, 282, -2*w^4 - 4*w^3 + 13*w^2 + 18*w - 18]', '[566, 566, -3*w^3 + 2*w^2 + 9*w - 4]', '[569, 569, w^4 - w^3 - 3*w^2 + 4*w - 3]', '[575, 115, 2*w^3 - w^2 - 9*w + 1]', '[576, 36, -2*w^2 + 2*w + 4]', '[577, 577, w^4 - w^3 - 4*w^2 + 2*w + 5]', '[578, 34, w^4 + w^3 - 6*w^2 - 7*w + 6]', '[582, 582, -4*w^4 - 4*w^3 + 21*w^2 + 19*w - 8]', '[584, 146, 4*w^4 - w^3 - 20*w^2 + 4*w + 8]', '[586, 586, 2*w^4 - 11*w^2 - w + 4]', '[586, 586, -3*w^4 - 2*w^3 + 17*w^2 + 9*w - 12]', '[586, 586, 3*w^4 - 15*w^2 - 3*w + 10]', '[587, 587, 2*w^4 + w^3 - 13*w^2 - 7*w + 9]', '[591, 591, -2*w^4 - 2*w^3 + 10*w^2 + 9*w - 7]', '[592, 74, -w^4 - 2*w^3 + 6*w^2 + 10*w - 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19]', '[822, 822, 2*w^2 - 3*w - 2]', '[823, 823, 3*w^4 + 2*w^3 - 19*w^2 - 10*w + 15]', '[823, 823, -2*w^4 - 3*w^3 + 11*w^2 + 13*w - 9]', '[827, 827, w^3 + w^2 - 6*w + 1]', '[827, 827, 2*w^4 + w^3 - 12*w^2 - 5*w + 7]', '[828, 414, -2*w^4 + 13*w^2 + 2*w - 12]', '[829, 829, -w^4 - 2*w^3 + 7*w^2 + 8*w - 11]', '[829, 829, 4*w^4 + w^3 - 22*w^2 - 8*w + 15]', '[829, 829, 3*w^4 + w^3 - 14*w^2 - 6*w + 5]', '[831, 831, 2*w^4 - w^3 - 9*w^2 + w + 7]', '[834, 834, w^4 + w^3 - 4*w^2 - w]', '[838, 838, w^4 + w^3 - 8*w^2 - 5*w + 10]', '[839, 839, -2*w^4 + 12*w^2 + 2*w - 7]', '[841, 841, -2*w^4 + 11*w^2 - 11]', '[842, 842, w^4 + w^3 - 4*w^2 - 7*w + 4]', '[842, 842, w^3 + w^2 - 5*w]', '[844, 422, -2*w^4 + w^3 + 9*w^2 - 6*w - 2]', '[846, 846, 5*w^4 + 2*w^3 - 28*w^2 - 13*w + 18]', '[848, 106, 5*w^4 + 2*w^3 - 28*w^2 - 12*w + 18]', '[848, 106, 5*w^4 + 4*w^3 - 30*w^2 - 22*w + 26]', '[848, 106, -w^4 + 2*w^3 + 6*w^2 - 6*w - 2]', '[849, 849, w^3 - 2*w^2 - w - 1]', '[851, 851, -2*w^4 - 2*w^3 + 10*w^2 + 8*w - 3]', '[853, 853, -3*w^4 - 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11]', '[1028, 514, -4*w^4 + w^3 + 19*w^2 - 4*w - 4]', '[1032, 258, -3*w^4 - 3*w^3 + 18*w^2 + 16*w - 14]', '[1033, 1033, 6*w^4 + 2*w^3 - 33*w^2 - 13*w + 21]', '[1033, 1033, -2*w^3 + 2*w^2 + 11*w - 7]', '[1038, 1038, -w^4 - 2*w^3 + 8*w^2 + 9*w - 6]', '[1039, 1039, 4*w^4 - 22*w^2 - 2*w + 17]', '[1041, 1041, -6*w^4 - 3*w^3 + 33*w^2 + 17*w - 19]', '[1041, 1041, 3*w^4 + 2*w^3 - 18*w^2 - 12*w + 17]', '[1044, 522, w^2 - 2*w - 6]', '[1046, 1046, w^4 - w^3 - 4*w^2 + 3*w + 4]', '[1048, 262, w^4 + 5*w^3 - 10*w^2 - 16*w + 8]', '[1048, 262, w^4 - 3*w^3 - 2*w^2 + 6*w + 2]', '[1048, 262, w^3 - 2*w^2 - 2*w + 6]', '[1049, 1049, -w^4 + 4*w^2 + 2*w + 3]', '[1051, 1051, 2*w^4 - 10*w^2 - 3*w + 1]', '[1058, 1058, 3*w + 2]', '[1062, 1062, -2*w^4 - w^3 + 10*w^2 + 7*w - 8]', '[1068, 534, -2*w^4 + 3*w^3 + 7*w^2 - 14*w + 8]', '[1068, 534, -6*w^4 + 33*w^2 + 2*w - 22]', '[1069, 1069, -w^3 - w^2 + 6*w + 1]', '[1073, 1073, -2*w^4 - 3*w^3 + 13*w^2 + 15*w - 13]', '[1075, 215, w^4 - w^3 - 5*w^2 + w - 1]', '[1077, 1077, w^4 + 2*w^3 - 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8]', '[1228, 614, -3*w^4 - w^3 + 15*w^2 + 6*w - 8]', '[1228, 614, w^4 - 3*w^2 - 2]', '[1228, 614, 4*w^4 + 2*w^3 - 21*w^2 - 10*w + 14]', '[1229, 1229, -3*w^4 - w^3 + 14*w^2 + 3*w - 5]', '[1229, 1229, -7*w^4 - 3*w^3 + 41*w^2 + 17*w - 33]', '[1231, 1231, 3*w^4 + 2*w^3 - 19*w^2 - 11*w + 17]', '[1233, 1233, -4*w^4 - 5*w^3 + 22*w^2 + 24*w - 11]', '[1234, 1234, w^4 - 6*w^2 - w]', '[1234, 1234, 3*w^4 + 2*w^3 - 16*w^2 - 13*w + 10]', '[1237, 1237, w^4 + 3*w^3 - 7*w^2 - 12*w + 7]', '[1238, 1238, 3*w^3 - 3*w^2 - 13*w + 6]', '[1242, 1242, 4*w^4 + w^3 - 22*w^2 - 7*w + 12]', '[1247, 1247, 2*w^4 + w^3 - 11*w^2 - 8*w + 9]', '[1249, 1249, -4*w^4 - 2*w^3 + 20*w^2 + 10*w - 9]', '[1250, 50, -2*w^4 - 2*w^3 + 11*w^2 + 7*w - 6]', '[1251, 1251, -w^4 - 2*w^3 + 8*w^2 + 9*w - 9]', '[1257, 1257, 2*w^4 + 2*w^3 - 9*w^2 - 8*w + 1]', '[1259, 1259, -w^3 + 7*w - 1]', '[1263, 1263, -w^4 + 2*w^3 + 2*w^2 - 5*w + 5]', '[1263, 1263, -4*w^4 + 21*w^2 + 4*w - 13]', '[1264, 158, -9*w^4 - 4*w^3 + 52*w^2 + 24*w - 46]', '[1266, 1266, -w^4 + 3*w^2 + w + 2]', '[1269, 1269, -4*w^4 - 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4*w + 7]', '[1384, 346, w^4 + 3*w^3 - 8*w^2 - 8*w + 6]', '[1388, 694, -6*w^4 - 7*w^3 + 33*w^2 + 36*w - 20]', '[1388, 694, -w^4 - 3*w^3 + 9*w^2 + 16*w - 14]', '[1389, 1389, w^3 - w^2 - 2*w - 3]', '[1392, 174, w^4 - 8*w^2 + 10]', '[1398, 1398, 2*w^4 + w^3 - 14*w^2 - 3*w + 10]', '[1402, 1402, w^4 - 2*w^3 - 6*w^2 + w + 2]', '[1403, 1403, 4*w^4 + 2*w^3 - 22*w^2 - 11*w + 19]', '[1416, 354, w^4 + 3*w^3 - 6*w^2 - 12*w + 8]', '[1418, 1418, 3*w^4 + 3*w^3 - 17*w^2 - 13*w + 12]', '[1418, 1418, -2*w^4 - w^3 + 11*w^2 + 3*w - 6]', '[1422, 1422, -5*w^4 + 25*w^2 + 9*w - 20]', '[1424, 178, -3*w^4 + 2*w^3 + 14*w^2 - 8*w - 4]', '[1424, 178, 9*w^4 + 4*w^3 - 54*w^2 - 22*w + 52]', '[1429, 1429, -w^3 + w^2 + 2*w - 5]', '[1431, 1431, -w^4 - 3*w^3 + 8*w^2 + 16*w - 9]', '[1431, 1431, -3*w^4 - w^3 + 17*w^2 + 4*w - 11]', '[1431, 1431, -3*w^4 + 15*w^2 + 4*w - 5]', '[1434, 1434, 2*w^4 + w^3 - 12*w^2 - 5*w + 6]', '[1436, 718, -2*w^3 + w^2 + 8*w - 8]', '[1436, 718, -w^4 - 3*w^3 + 7*w^2 + 10*w - 6]', '[1437, 1437, 2*w^4 + 2*w^3 - 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14*w^2 - 12*w + 2]', '[1616, 202, -11*w^4 - 6*w^3 + 64*w^2 + 32*w - 52]', '[1618, 1618, 3*w^4 + 4*w^3 - 18*w^2 - 21*w + 12]', '[1619, 1619, 5*w^4 + 3*w^3 - 28*w^2 - 15*w + 19]', '[1622, 1622, w^4 - 5*w^2 - 5*w + 6]', '[1623, 1623, 2*w^4 - w^3 - 10*w^2 - 2*w + 5]', '[1623, 1623, 2*w^4 - w^3 - 11*w^2 + 3*w + 11]', '[1626, 1626, -4*w^4 + 22*w^2 + 5*w - 16]', '[1627, 1627, -2*w^4 - w^3 + 14*w^2 + 6*w - 15]', '[1627, 1627, 11*w^4 + 5*w^3 - 62*w^2 - 28*w + 47]', '[1629, 1629, -7*w^4 - 6*w^3 + 37*w^2 + 32*w - 19]', '[1629, 1629, -2*w^4 - 3*w^3 + 13*w^2 + 12*w - 11]', '[1641, 1641, -4*w^4 - w^3 + 21*w^2 + 6*w - 15]', '[1641, 1641, 2*w^4 + w^3 - 12*w^2 - 2*w + 9]', '[1641, 1641, 5*w^4 + w^3 - 28*w^2 - 9*w + 21]', '[1644, 822, 3*w^4 + 3*w^3 - 17*w^2 - 14*w + 6]', '[1646, 1646, -3*w^4 - w^3 + 13*w^2 + 3*w - 4]', '[1646, 1646, 2*w^4 - w^3 - 10*w^2 - 3*w + 6]', '[1647, 1647, -4*w^4 - 3*w^3 + 22*w^2 + 14*w - 13]', '[1654, 1654, w^4 + w^3 - 6*w^2 + w]', '[1654, 1654, w^4 - 5*w^2 - 5*w + 4]', '[1656, 414, -3*w^4 - 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9*w^2 + 8*w - 4]', '[1684, 842, 4*w^4 - w^3 - 21*w^2 + 2*w + 8]', '[1688, 422, -w^3 + 2*w^2 - 4]', '[1692, 846, -6*w^4 - 3*w^3 + 31*w^2 + 12*w - 22]', '[1693, 1693, 2*w^3 - 7*w - 3]', '[1693, 1693, 5*w^4 + 4*w^3 - 27*w^2 - 19*w + 15]', '[1696, 106, 2*w^4 + 2*w^3 - 12*w^2 - 12*w + 10]', '[1696, 106, 4*w^4 - 22*w^2 - 4*w + 10]', '[1696, 106, -4*w^3 + 2*w^2 + 18*w - 10]', '[1697, 1697, -5*w^4 - 4*w^3 + 30*w^2 + 19*w - 21]', '[1697, 1697, 2*w^4 + w^3 - 12*w^2 - 5*w + 5]', '[1698, 1698, 3*w^4 + 2*w^3 - 14*w^2 - 13*w + 6]', '[1699, 1699, -3*w^3 + w^2 + 14*w - 1]', '[1702, 1702, -4*w^4 - 3*w^3 + 24*w^2 + 13*w - 18]', '[1706, 1706, -2*w^4 - 2*w^3 + 9*w^2 + 11*w - 6]', '[1707, 1707, -4*w^4 - 2*w^3 + 22*w^2 + 10*w - 13]', '[1709, 1709, w^3 - 4*w - 5]', '[1709, 1709, -5*w^4 - 2*w^3 + 27*w^2 + 11*w - 15]', '[1709, 1709, 3*w^4 + 4*w^3 - 15*w^2 - 16*w + 7]', '[1711, 1711, -w^4 - w^3 + 4*w^2 + 6*w - 5]', '[1712, 214, -w^4 + 2*w^3 + 2*w^2 - 8*w + 6]', '[1714, 1714, -5*w^4 - 3*w^3 + 27*w^2 + 15*w - 12]', '[1714, 1714, 2*w^4 + w^3 - 7*w^2 - 7*w + 4]', '[1718, 1718, -2*w^4 + w^3 + 8*w^2 - 3*w + 2]', '[1718, 1718, -w^4 - 2*w^3 + 4*w^2 + 9*w]', '[1723, 1723, 3*w^4 + 3*w^3 - 19*w^2 - 18*w + 15]', '[1723, 1723, -4*w^4 - w^3 + 21*w^2 + 7*w - 13]', '[1724, 862, -w^4 + w^3 + 5*w^2 - 4*w - 6]', '[1724, 862, 3*w^4 - w^3 - 17*w^2 + 8]', '[1724, 862, -3*w^4 - 2*w^3 + 15*w^2 + 10*w - 2]', '[1724, 862, 2*w^4 + 3*w^3 - 13*w^2 - 16*w + 14]', '[1724, 862, 3*w^4 + 3*w^3 - 17*w^2 - 14*w + 16]', '[1725, 345, 2*w^4 + w^3 - 10*w^2 - 8*w + 1]', '[1728, 108, 4*w^4 - 20*w^2 - 2*w + 8]', '[1731, 1731, 2*w^4 + 2*w^3 - 13*w^2 - 11*w + 11]', '[1733, 1733, -4*w^4 - w^3 + 21*w^2 + 7*w - 15]', '[1733, 1733, 3*w^4 + w^3 - 15*w^2 - 9*w + 11]', '[1734, 102, -2*w^3 + 9*w + 4]', '[1739, 1739, 4*w^4 + 5*w^3 - 20*w^2 - 21*w + 13]', '[1741, 1741, 3*w^4 + w^3 - 14*w^2 - 11*w + 5]', '[1746, 1746, 5*w^4 + 2*w^3 - 26*w^2 - 15*w + 14]', '[1747, 1747, 5*w^4 + 3*w^3 - 26*w^2 - 16*w + 15]', '[1752, 438, w^4 + 5*w^3 - 10*w^2 - 22*w + 22]', '[1753, 1753, w^4 - 3*w^2 + 3*w - 3]', '[1754, 1754, -3*w^4 + 15*w^2 + 5*w - 8]', '[1758, 1758, -2*w^4 - 2*w^3 + 14*w^2 + 7*w - 16]', '[1758, 1758, 3*w^4 + w^3 - 14*w^2 - 7*w + 2]', '[1758, 1758, -2*w^4 - w^3 + 9*w^2 + 7*w + 2]', '[1759, 1759, -2*w^4 - 3*w^3 + 13*w^2 + 14*w - 11]', '[1761, 1761, w^4 + w^3 - 9*w^2 - 4*w + 11]', '[1763, 1763, -w^4 - 3*w^3 + 8*w^2 + 12*w - 11]', '[1763, 1763, w^4 - w^3 - 2*w^2 + 2*w - 3]', '[1766, 1766, -w^4 + 2*w^3 + 4*w^2 - 5*w - 2]', '[1769, 1769, 4*w^4 + w^3 - 22*w^2 - 9*w + 15]', '[1772, 886, w^3 - w^2 - 2]', '[1773, 1773, -w^4 + w^3 + 4*w^2 - 4*w - 3]', '[1776, 222, 3*w^4 + 2*w^3 - 16*w^2 - 12*w + 12]', '[1777, 1777, 7*w^4 + 4*w^3 - 40*w^2 - 20*w + 31]', '[1779, 1779, 3*w^4 - w^3 - 16*w^2 + w + 7]', '[1779, 1779, -2*w^4 - 2*w^3 + 14*w^2 + 11*w - 15]', '[1783, 1783, -2*w^4 + w^3 + 11*w^2 - 2*w - 9]', '[1784, 446, -3*w^4 + 3*w^3 + 10*w^2 - 4*w - 6]', '[1784, 446, w^4 - 3*w^3 - 2*w^2 + 8*w + 2]', '[1787, 1787, -5*w^4 - w^3 + 25*w^2 + 8*w - 9]', '[1787, 1787, -2*w^4 - 3*w^3 + 10*w^2 + 12*w - 9]', '[1800, 90, -3*w^4 - w^3 + 18*w^2 + 4*w - 18]', '[1803, 1803, w^4 - 3*w^3 - w^2 + 8*w - 1]', '[1803, 1803, -5*w^4 - 3*w^3 + 32*w^2 + 14*w - 31]', '[1812, 906, -3*w^4 - 2*w^3 + 15*w^2 + 14*w - 6]', '[1814, 1814, -2*w^3 + 3*w^2 + 9*w - 6]', '[1814, 1814, 3*w^3 - 13*w + 4]', '[1814, 1814, w^4 - 7*w^2 - 5*w + 6]', '[1816, 454, -4*w^4 - w^3 + 20*w^2 + 12*w - 10]', '[1816, 454, 2*w^4 + w^3 - 14*w^2 - 4*w + 14]', '[1817, 1817, -6*w^4 - w^3 + 33*w^2 + 10*w - 25]', '[1818, 1818, -w^3 - 2*w^2 + 5*w + 6]', '[1818, 1818, -5*w^4 - 5*w^3 + 32*w^2 + 21*w - 26]', '[1821, 1821, -w^3 + 3*w^2 + 3*w - 7]', '[1821, 1821, -4*w^4 - 4*w^3 + 22*w^2 + 19*w - 15]', '[1821, 1821, -4*w^4 + 2*w^3 + 20*w^2 - 7*w - 9]', '[1822, 1822, -w^4 + 3*w^3 + 4*w^2 - 11*w + 2]', '[1822, 1822, 5*w^4 + 3*w^3 - 25*w^2 - 17*w + 8]', '[1823, 1823, -3*w^4 - 3*w^3 + 16*w^2 + 15*w - 11]', '[1823, 1823, 3*w^4 - 14*w^2 + 7]', '[1823, 1823, -2*w^4 - 2*w^3 + 13*w^2 + 12*w - 15]', '[1825, 365, w^4 + 3*w^3 - 7*w^2 - 12*w + 11]', '[1828, 914, w^4 - w^3 - 5*w^2 + 6*w + 2]', '[1828, 914, 2*w^4 - w^3 - 7*w^2 + 6*w - 4]', '[1831, 1831, -3*w^4 - 3*w^3 + 18*w^2 + 16*w - 13]', '[1832, 458, w^4 + 3*w^3 - 10*w^2 - 10*w + 10]', '[1832, 458, 3*w^4 + 3*w^3 - 20*w^2 - 12*w + 16]', '[1838, 1838, w^4 + 3*w^3 - 8*w^2 - 13*w + 8]', '[1839, 1839, -3*w^4 + w^3 + 16*w^2 - 15]', '[1842, 1842, -4*w^4 - 2*w^3 + 23*w^2 + 13*w - 20]', '[1842, 1842, -w^4 - 4*w^3 + 7*w^2 + 19*w - 6]', '[1842, 1842, 5*w^4 + w^3 - 30*w^2 - 11*w + 24]', '[1847, 1847, w^4 - 3*w^2 - 3]', '[1849, 1849, w^4 + w^3 - 7*w^2 - 7*w + 11]', '[1850, 370, -2*w^4 + 9*w^2 - w - 6]', '[1851, 1851, 3*w^4 + w^3 - 15*w^2 - 8*w + 11]', '[1851, 1851, -2*w^4 - 3*w^3 + 13*w^2 + 13*w - 13]', '[1852, 926, -2*w^4 + w^3 + 9*w^2 - 2*w + 2]', '[1856, 116, -4*w^4 + 22*w^2 + 2*w - 12]', '[1857, 1857, -w^4 + 5*w^2 - 2*w + 3]', '[1858, 1858, w^4 + w^3 - 3*w^2 - 5*w]', '[1858, 1858, 4*w^4 - 23*w^2 - w + 20]', '[1861, 1861, -w^3 + 4*w - 5]', '[1863, 69, 2*w^4 + w^3 - 10*w^2 - 2*w + 5]', '[1863, 1863, 5*w^4 + 2*w^3 - 28*w^2 - 10*w + 21]', '[1864, 466, -3*w^4 + 3*w^3 + 16*w^2 - 8*w - 4]', '[1867, 1867, 2*w^4 - w^3 - 8*w^2 + 3*w - 3]', '[1867, 1867, -3*w^4 - w^3 + 19*w^2 + 5*w - 17]', '[1871, 1871, 7*w^4 + 4*w^3 - 40*w^2 - 23*w + 31]', '[1871, 1871, 4*w^4 + 3*w^3 - 22*w^2 - 15*w + 17]', '[1874, 1874, -5*w^4 + 29*w^2 + 3*w - 26]', '[1875, 75, -2*w^4 + w^3 + 10*w^2 - 2*w - 9]', '[1879, 1879, 3*w^3 - w^2 - 9*w + 5]', '[1882, 1882, w^4 - w^3 - 4*w^2 + w - 2]', '[1886, 1886, 2*w^4 - 11*w^2 + w + 8]', '[1886, 1886, w^4 + w^3 - 6*w^2 - 5*w]', '[1888, 118, -2*w^4 + 12*w^2 + 2*w - 6]', '[1896, 474, 2*w^4 + 3*w^3 - 14*w^2 - 14*w + 16]', '[1899, 1899, w^4 + 2*w^3 - 7*w^2 - 5*w + 9]', '[1906, 1906, 5*w^4 + 3*w^3 - 28*w^2 - 17*w + 22]', '[1906, 1906, 2*w^4 - w^3 - 11*w^2 - 3*w + 6]', '[1907, 1907, -3*w^4 - 4*w^3 + 18*w^2 + 20*w - 13]', '[1908, 954, 4*w^4 - w^3 - 19*w^2 + 4*w + 6]', '[1908, 954, -2*w^4 - 2*w^3 + 15*w^2 + 14*w - 16]', '[1908, 954, -3*w^4 + 17*w^2 + 4*w - 10]', '[1909, 1909, -5*w^4 + 28*w^2 + 4*w - 21]', '[1909, 1909, w^4 - w^3 - 6*w^2 + 6*w + 11]', '[1912, 478, -w^4 - 3*w^3 + 8*w^2 + 10*w - 8]', '[1916, 958, -4*w^4 - w^3 + 21*w^2 + 6*w - 14]', '[1922, 62, -2*w^4 - 3*w^3 + 12*w^2 + 13*w - 10]', '[1923, 1923, -5*w^4 - 2*w^3 + 31*w^2 + 9*w - 25]', '[1923, 1923, w^4 - 2*w^3 - 4*w^2 + 5*w + 3]', '[1926, 1926, -2*w^4 + 8*w^2 + 3*w]', '[1927, 1927, -7*w^4 - 3*w^3 + 39*w^2 + 19*w - 23]', '[1927, 1927, 3*w^4 + 3*w^3 - 17*w^2 - 19*w + 5]', '[1928, 482, 2*w^4 + 3*w^3 - 14*w^2 - 12*w + 8]', '[1929, 1929, 4*w^4 - 23*w^2 + 13]', '[1929, 1929, 4*w^4 + 4*w^3 - 25*w^2 - 19*w + 27]', '[1933, 1933, -3*w^4 - w^3 + 15*w^2 + 8*w - 3]', '[1933, 1933, -2*w^4 - 3*w^3 + 13*w^2 + 13*w - 15]', '[1934, 1934, -w^4 + 2*w^3 + 5*w^2 - 7*w - 2]', '[1934, 1934, -4*w^4 + 24*w^2 + w - 24]', '[1941, 1941, -5*w^4 + 26*w^2 + 8*w - 19]', '[1944, 6, -3*w^3 + 12*w - 6]', '[1944, 486, -2*w^4 - 3*w^3 + 12*w^2 + 14*w - 14]', '[1948, 974, -w^4 - w^3 + 5*w^2 + 8*w - 2]', '[1949, 1949, w^2 - 3*w - 3]', '[1949, 1949, -5*w^4 - 3*w^3 + 25*w^2 + 16*w - 11]', '[1951, 1951, -w^4 + 3*w^3 + 4*w^2 - 12*w + 1]', '[1952, 122, 2*w^4 + 2*w^3 - 14*w^2 - 10*w + 14]', '[1954, 1954, w^4 + w^3 - 5*w^2 - w]', '[1954, 1954, -3*w^4 - 2*w^3 + 13*w^2 + 7*w - 6]', '[1956, 978, -3*w^4 - 2*w^3 + 17*w^2 + 10*w - 18]', '[1956, 978, -2*w^4 + 3*w^3 + 9*w^2 - 14*w + 6]', '[1961, 1961, 2*w^4 + 2*w^3 - 11*w^2 - 10*w + 11]', '[1961, 1961, 4*w^4 - 22*w^2 - 6*w + 7]', '[1961, 1961, 2*w^4 + 3*w^3 - 13*w^2 - 16*w + 9]', '[1964, 982, -2*w^4 + 2*w^3 + 9*w^2 - 10*w - 2]', '[1968, 246, w^4 - 2*w^3 - 4*w^2 + 8*w - 6]', '[1968, 246, -3*w^4 + 16*w^2 + 2*w - 14]', '[1971, 1971, w^4 + 2*w^3 - 8*w^2 - 8*w + 13]', '[1975, 395, w^4 + 2*w^3 - 6*w^2 - 13*w + 11]', '[1978, 1978, 2*w^4 + 2*w^3 - 13*w^2 - 11*w + 10]', '[1979, 1979, w^4 + 3*w^3 - 7*w^2 - 16*w + 9]', '[1982, 1982, -w^4 + w^3 + 6*w^2 - 5*w + 2]', '[1983, 1983, -5*w^4 - w^3 + 30*w^2 + 11*w - 27]', '[1986, 1986, -w^2 + 3*w + 4]', '[1992, 498, 2*w^4 + w^3 - 10*w^2 - 8*w - 2]', '[1992, 498, 3*w^3 - 4*w^2 - 14*w + 14]', '[1993, 1993, -5*w^4 - 2*w^3 + 26*w^2 + 13*w - 17]', '[1996, 998, -4*w^4 - 3*w^3 + 25*w^2 + 16*w - 24]', '[1997, 1997, 3*w^4 - 17*w^2 - 5*w + 7]', '[1998, 1998, -4*w^4 - w^3 + 21*w^2 + 7*w - 14]', '[1999, 1999, w^4 - 4*w^3 - 4*w^2 + 18*w - 3]', '[2000, 10, w^4 - 2*w^3 - 4*w^2 + 6*w - 4]', '[2001, 2001, 3*w^4 - w^3 - 16*w^2 + 2*w + 5]', '[2003, 2003, 4*w^4 + 4*w^3 - 20*w^2 - 19*w + 11]', '[2007, 2007, 4*w^4 - w^3 - 17*w^2 - 2*w + 13]', '[2007, 2007, -2*w^4 + w^3 + 9*w^2 - 9]', '[2011, 2011, -2*w^3 + 7*w + 1]', '[2017, 2017, -2*w^3 + 2*w^2 + 8*w - 1]', '[2018, 2018, -2*w^4 + w^3 + 7*w^2 - 5*w + 2]', '[2019, 2019, 3*w^4 + w^3 - 17*w^2 - 6*w + 9]', '[2021, 2021, 2*w^4 - w^3 - 11*w^2 + 6*w + 13]', '[2022, 2022, -4*w^4 - w^3 + 21*w^2 + 9*w - 12]', '[2022, 2022, -w^3 - w^2 + 3*w + 6]', '[2025, 15, 2*w^4 - 5*w^3 - 7*w^2 + 19*w - 7]', '[2025, 405, w^4 - 6*w^2 - 3*w - 1]', '[2036, 1018, -2*w^4 - 2*w^3 + 13*w^2 + 12*w - 14]', '[2039, 2039, 5*w^4 + w^3 - 29*w^2 - 8*w + 21]', '[2043, 2043, 3*w^4 - 16*w^2 - 7*w + 9]', '[2043, 2043, -4*w^4 - 2*w^3 + 26*w^2 + 11*w - 25]', '[2047, 2047, 5*w^4 + w^3 - 30*w^2 - 7*w + 27]', '[2047, 2047, -5*w^3 + 4*w^2 + 22*w - 15]', '[2048, 8, 4*w]', '[2050, 410, -w^4 - w^3 + 8*w^2 + w - 8]', '[2050, 410, 4*w^4 + 3*w^3 - 23*w^2 - 13*w + 20]', '[2056, 514, -4*w^4 - 3*w^3 + 22*w^2 + 14*w - 12]', '[2061, 2061, -2*w^4 - 2*w^3 + 15*w^2 + 8*w - 13]', '[2061, 2061, -4*w^4 - 3*w^3 + 26*w^2 + 14*w - 23]', '[2063, 2063, 7*w^4 + 3*w^3 - 40*w^2 - 17*w + 29]', '[2063, 2063, -4*w^4 - 4*w^3 + 22*w^2 + 21*w - 15]', '[2064, 258, -3*w^4 + 16*w^2 + 4*w - 6]', '[2066, 2066, 2*w^4 + 3*w^3 - 13*w^2 - 15*w + 12]', '[2066, 2066, -4*w^4 - 2*w^3 + 20*w^2 + 9*w - 8]', '[2069, 2069, -2*w^4 - 2*w^3 + 14*w^2 + 10*w - 11]', '[2075, 415, 3*w^4 + w^3 - 15*w^2 - 7*w + 1]', '[2075, 415, -2*w^4 + 4*w^3 + 7*w^2 - 19*w + 11]', '[2076, 1038, -w^4 + 3*w^3 + 3*w^2 - 10*w + 6]', '[2078, 2078, 2*w^3 - 2*w^2 - 7*w + 8]', '[2081, 2081, w^4 + w^3 - 9*w^2 - 6*w + 11]', '[2082, 2082, -3*w^4 - 3*w^3 + 17*w^2 + 17*w - 12]', '[2082, 2082, 5*w^4 + 3*w^3 - 27*w^2 - 15*w + 16]', '[2087, 2087, 2*w^4 + w^3 - 13*w^2 - 5*w + 9]', '[2088, 522, -5*w^4 - 3*w^3 + 28*w^2 + 16*w - 16]', '[2089, 2089, -w^4 + 6*w^2 - 2*w - 5]', '[2092, 1046, -6*w^4 - 2*w^3 + 33*w^2 + 12*w - 24]', '[2096, 262, 3*w^4 - 14*w^2 - 4*w + 2]', '[2096, 262, -5*w^4 - 2*w^3 + 28*w^2 + 14*w - 22]', '[2096, 262, -3*w^4 - 4*w^3 + 16*w^2 + 18*w - 6]', '[2097, 2097, -2*w^4 + w^3 + 11*w^2 - 5]', '[2098, 2098, -2*w^3 + 2*w^2 + 9*w - 2]', '[2099, 2099, w^4 + 2*w^3 - 8*w^2 - 10*w + 9]', '[2102, 2102, 2*w^3 - 3*w^2 - 11*w + 4]', '[2103, 2103, w^4 + w^3 - 9*w^2 - 3*w + 9]', '[2113, 2113, 2*w^4 - 13*w^2 - 5*w + 13]', '[2116, 1058, 2*w^4 + 3*w^3 - 13*w^2 - 14*w + 10]', '[2117, 2117, -4*w^4 - 2*w^3 + 24*w^2 + 13*w - 25]', '[2124, 1062, w^4 + w^3 - 9*w^2 - 8*w + 10]', '[2127, 2127, -2*w^4 - w^3 + 14*w^2 + 5*w - 11]', '[2127, 2127, 3*w^4 + 2*w^3 - 20*w^2 - 11*w + 17]', '[2133, 2133, 4*w^3 - 5*w^2 - 12*w + 9]', '[2136, 534, -w^3 + 2*w + 4]', '[2136, 534, -w^4 - w^3 + 8*w^2 + 6*w - 14]', '[2137, 2137, 6*w^4 + 2*w^3 - 37*w^2 - 12*w + 41]', '[2138, 2138, -w^4 - w^3 + 6*w^2 + w]', '[2141, 2141, 2*w^3 + 2*w^2 - 5*w - 3]', '[2141, 2141, -w^4 - w^3 + 3*w^2 + 7*w + 3]', '[2141, 2141, 2*w^4 - w^3 - 9*w^2 + 3*w + 5]', '[2143, 2143, -4*w^4 - w^3 + 23*w^2 + 9*w - 13]', '[2146, 2146, -3*w^4 + w^3 + 15*w^2 - w - 4]', '[2150, 430, 4*w^4 - 21*w^2 - 5*w + 14]', '[2151, 2151, 2*w^4 + 2*w^3 - 12*w^2 - 6*w + 9]', '[2153, 2153, 2*w^4 - 2*w^3 - 11*w^2 + 6*w + 5]', '[2154, 2154, -2*w^3 + 7*w + 2]', '[2154, 2154, w^4 - 6*w^2 - 7*w + 4]', '[2157, 2157, -2*w^4 + 9*w^2 - 7]', '[2161, 2161, 6*w^4 + 3*w^3 - 32*w^2 - 15*w + 21]', '[2162, 2162, 3*w^4 - 19*w^2 - 7*w + 10]', '[2164, 1082, -4*w^4 - w^3 + 19*w^2 + 8*w - 4]', '[2164, 1082, w^4 + 4*w^3 - 7*w^2 - 12*w + 6]', '[2168, 542, 3*w^4 - w^3 - 18*w^2 + 10]', '[2169, 2169, -w^4 - 2*w^3 + 9*w^2 + 9*w - 7]', '[2172, 1086, -3*w^4 + 5*w^3 + 11*w^2 - 20*w + 10]', '[2172, 1086, 6*w^4 + 3*w^3 - 31*w^2 - 20*w + 14]', '[2173, 2173, -5*w^4 - 2*w^3 + 26*w^2 + 12*w - 13]', '[2173, 2173, -4*w^4 - w^3 + 21*w^2 + 5*w - 17]', '[2173, 2173, -4*w^4 - 5*w^3 + 23*w^2 + 24*w - 19]', '[2173, 2173, 3*w^4 + 4*w^3 - 16*w^2 - 18*w + 7]', '[2173, 2173, -3*w^4 - w^3 + 18*w^2 + 4*w - 17]', '[2173, 2173, 4*w^4 + 3*w^3 - 19*w^2 - 14*w + 5]', '[2174, 2174, -2*w^3 - w^2 + 5*w + 2]', '[2174, 2174, -2*w^4 - w^3 + 9*w^2 + 11*w - 8]', '[2174, 2174, w^4 - 2*w^3 + 7*w - 4]', '[2175, 435, -3*w^2 - 2*w + 7]', '[2179, 2179, 2*w^4 - w^3 - 7*w^2 + 3*w - 1]', '[2181, 2181, -4*w^4 - 3*w^3 + 21*w^2 + 16*w - 13]', '[2182, 2182, -2*w^4 - 2*w^3 + 13*w^2 + 5*w - 10]', '[2183, 2183, -2*w^4 + w^3 + 11*w^2 + w - 3]', '[2187, 27, 6*w - 3]', '[2187, 2187, -w^4 - w^3 + 6*w^2 + 8*w - 7]', '[2188, 1094, 4*w^4 + w^3 - 23*w^2 - 10*w + 20]', '[2188, 1094, -w^4 + 5*w^2 - 4*w + 2]', '[2188, 1094, w^4 + 3*w^3 - 7*w^2 - 12*w + 8]', '[2192, 274, -w^4 - 4*w^3 + 8*w^2 + 14*w - 4]', '[2196, 1098, 3*w^4 + 3*w^3 - 19*w^2 - 14*w + 14]', '[2199, 2199, 4*w^4 + 3*w^3 - 26*w^2 - 14*w + 29]', '[2202, 2202, -w^4 + w^3 + 4*w^2 - 7*w]', '[2202, 2202, -w^4 - 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w^2 - 5*w - 2]', '[2468, 1234, w^4 + 4*w^3 - 7*w^2 - 18*w + 12]', '[2468, 1234, 2*w^4 + 2*w^3 - 13*w^2 - 8*w + 6]', '[2469, 2469, -w^4 + w^3 + 5*w^2 - 6*w - 3]', '[2469, 2469, 3*w^4 + 3*w^3 - 22*w^2 - 11*w + 23]', '[2473, 2473, -4*w^4 - 2*w^3 + 23*w^2 + 11*w - 23]', '[2473, 2473, -3*w^4 - 3*w^3 + 17*w^2 + 17*w - 13]', '[2474, 2474, 3*w^4 - w^3 - 12*w^2 + w + 2]', '[2476, 1238, 4*w^4 - 3*w^3 - 17*w^2 + 12*w - 4]', '[2477, 2477, 3*w^4 + w^3 - 14*w^2 - 4*w + 9]', '[2481, 2481, w^4 - 4*w^3 + 13*w - 7]', '[2481, 2481, 2*w^3 - 4*w^2 - 6*w + 9]', '[2484, 1242, w^4 + 2*w^3 - 7*w^2 - 12*w + 8]', '[2487, 2487, -8*w^4 - 3*w^3 + 46*w^2 + 18*w - 35]', '[2487, 2487, -w^4 - w^3 + 7*w^2 + 3*w - 1]', '[2487, 2487, 4*w^4 + w^3 - 23*w^2 - 9*w + 23]', '[2491, 2491, -w^4 - 2*w^3 + 4*w^2 + 10*w + 1]', '[2491, 2491, -13*w^4 - 6*w^3 + 74*w^2 + 34*w - 55]', '[2491, 2491, 3*w^4 - w^3 - 17*w^2 + 2*w + 13]', '[2493, 2493, w^4 + 2*w^3 - 8*w^2 - 4*w + 11]', '[2494, 2494, 5*w^4 + 4*w^3 - 27*w^2 - 19*w + 14]', '[2498, 2498, 5*w^4 + 2*w^3 - 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10]', '[4254, 4254, w^4 + w^3 - 8*w^2 - w + 10]', '[4259, 4259, 2*w^4 + w^3 - 11*w^2 - 5*w + 13]', '[4261, 4261, -4*w^4 + 21*w^2 + 5*w - 13]', '[4266, 4266, -w^4 - 4*w^3 + 10*w^2 + 17*w - 20]', '[4272, 534, -5*w^4 - 4*w^3 + 30*w^2 + 22*w - 28]', '[4272, 534, 9*w^4 + 2*w^3 - 52*w^2 - 16*w + 44]', '[4274, 4274, 2*w^4 - w^3 - 12*w^2 + 5*w + 12]', '[4276, 2138, -4*w^3 + 3*w^2 + 20*w - 12]', '[4282, 4282, 3*w^4 + 3*w^3 - 16*w^2 - 15*w + 12]', '[4282, 4282, -w^4 - 3*w^3 + 7*w^2 + 9*w - 2]', '[4282, 4282, -w^4 + 3*w^3 + 3*w^2 - 7*w + 4]', '[4286, 4286, 3*w^4 - 14*w^2 - 3*w - 2]', '[4287, 4287, -3*w^4 - 2*w^3 + 18*w^2 + 7*w - 13]', '[4289, 4289, -6*w^4 - w^3 + 32*w^2 + 12*w - 23]', '[4289, 4289, w^4 - 6*w^2 - w - 1]', '[4292, 2146, 5*w^4 + 3*w^3 - 27*w^2 - 16*w + 20]', '[4293, 159, 2*w^4 + 4*w^3 - 10*w^2 - 17*w + 5]', '[4293, 159, -w^4 + w^3 + 5*w^2 - 5*w - 7]', '[4293, 159, w^4 - w^3 - 2*w^2 + 2*w - 5]', '[4293, 4293, w^4 + 4*w^3 - 8*w^2 - 16*w + 19]', '[4293, 4293, 3*w^4 - w^3 - 15*w^2 + 4*w + 9]', '[4293, 4293, -4*w^4 - 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w - 3]', '[4404, 2202, 6*w^4 - 2*w^3 - 29*w^2 + 8*w + 8]', '[4404, 2202, -5*w^3 + 3*w^2 + 22*w - 16]', '[4406, 4406, 2*w^4 + 2*w^3 - 12*w^2 - 3*w + 8]', '[4409, 4409, -7*w^4 - 5*w^3 + 39*w^2 + 25*w - 23]', '[4412, 2206, -3*w^4 - 4*w^3 + 19*w^2 + 18*w - 22]', '[4412, 2206, -w^4 - w^3 + 3*w^2 + 2]', '[4412, 2206, 2*w^4 + 3*w^3 - 15*w^2 - 12*w + 14]', '[4413, 4413, 5*w^4 - 2*w^3 - 23*w^2 + 4*w + 5]', '[4416, 276, 2*w^4 - 10*w^2 - 6*w + 8]', '[4418, 94, w^4 - 2*w^3 - 2*w^2 + w - 4]', '[4418, 94, 4*w^4 - 19*w^2 - w + 6]', '[4418, 4418, -w^4 + 3*w^3 + 4*w^2 - 7*w]', '[4419, 4419, w^4 + w^3 - 7*w^2 - 2*w + 11]', '[4421, 4421, -3*w^4 - w^3 + 17*w^2 + 6*w - 7]', '[4421, 4421, 4*w^4 - 20*w^2 - 3*w + 11]', '[4423, 4423, -5*w^4 - 3*w^3 + 28*w^2 + 16*w - 15]', '[4425, 885, 3*w^4 + 2*w^3 - 15*w^2 - 7*w + 7]', '[4428, 2214, 2*w^4 - w^3 - 9*w^2 + 2*w + 8]', '[4428, 2214, 6*w^4 + w^3 - 33*w^2 - 10*w + 24]', '[4432, 554, 7*w^4 + 4*w^3 - 40*w^2 - 20*w + 30]', '[4436, 2218, -3*w^2 + 8]', '[4436, 2218, -5*w^4 + 2*w^3 + 25*w^2 - 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22*w^2 - 8*w + 17]', '[5129, 5129, -4*w^4 - 2*w^3 + 22*w^2 + 14*w - 17]', '[5133, 5133, -w^4 + 2*w^3 + 5*w^2 - 6*w - 5]', '[5136, 642, 5*w^4 + 2*w^3 - 28*w^2 - 10*w + 18]', '[5141, 5141, w^4 - 2*w^3 - 4*w^2 + 4*w - 3]', '[5141, 5141, -2*w^3 + 5*w^2 + 6*w - 9]', '[5141, 5141, -15*w^4 - 8*w^3 + 88*w^2 + 44*w - 75]', '[5142, 5142, -2*w^4 + 9*w^2 + 7*w - 6]', '[5142, 5142, -4*w^4 - 6*w^3 + 23*w^2 + 25*w - 12]', '[5143, 5143, w^4 - 6*w^2 - 4*w + 9]', '[5144, 1286, -4*w^4 + w^3 + 20*w^2 + 2*w - 12]', '[5144, 1286, -5*w^4 - 3*w^3 + 28*w^2 + 16*w - 24]', '[5147, 5147, -6*w^4 - 4*w^3 + 34*w^2 + 23*w - 25]', '[5153, 5153, 2*w^4 - w^3 - 8*w^2 + 5*w + 3]', '[5153, 5153, -w^4 - 2*w^3 + 6*w^2 + 6*w + 3]', '[5153, 5153, 3*w^4 + 3*w^3 - 20*w^2 - 14*w + 19]', '[5154, 5154, 7*w^4 + 4*w^3 - 38*w^2 - 21*w + 20]', '[5154, 5154, 3*w^4 + 3*w^3 - 19*w^2 - 15*w + 16]', '[5156, 2578, -w^4 + 5*w^2 + 6*w - 6]', '[5156, 2578, -5*w^4 + w^3 + 27*w^2 - 14]', '[5162, 5162, -7*w^4 - 6*w^3 + 44*w^2 + 31*w - 46]', '[5162, 5162, 6*w^4 - 2*w^3 - 29*w^2 + 7*w + 8]', '[5169, 5169, 2*w^4 - 2*w^3 - 12*w^2 + 7*w + 9]', '[5169, 5169, -3*w^4 - w^3 + 17*w^2 + 8*w - 19]', '[5171, 5171, -5*w^4 - 2*w^3 + 29*w^2 + 18*w - 13]', '[5172, 2586, -5*w^4 - 2*w^3 + 27*w^2 + 14*w - 22]', '[5172, 2586, w^4 + 2*w^3 - 9*w^2 - 12*w + 16]', '[5172, 2586, 4*w^4 - 2*w^3 - 21*w^2 + 6*w + 12]', '[5172, 2586, -w^2 + 4*w + 2]', '[5172, 2586, 5*w^4 - 27*w^2 - 2*w + 20]', '[5175, 1035, -4*w^4 - 3*w^3 + 23*w^2 + 13*w - 15]', '[5176, 1294, 4*w^4 + 5*w^3 - 28*w^2 - 20*w + 22]', '[5179, 5179, -3*w^4 - 2*w^3 + 14*w^2 + 10*w + 1]', '[5179, 5179, 2*w^4 + w^3 - 11*w^2 - 9*w - 1]', '[5182, 5182, 2*w^4 + 2*w^3 - 11*w^2 - 7*w + 2]', '[5182, 5182, 6*w^4 + 2*w^3 - 32*w^2 - 13*w + 20]', '[5184, 12, -2*w^4 + 2*w^3 + 4*w^2 - 10*w + 4]', '[5184, 324, 4*w^4 + 4*w^3 - 22*w^2 - 18*w + 16]', '[5186, 5186, -2*w^4 - 4*w^3 + 13*w^2 + 21*w - 14]', '[5186, 5186, -6*w^4 - w^3 + 32*w^2 + 9*w - 22]', '[5188, 2594, w^4 - w^3 - 5*w^2 - 2]', '[5189, 5189, -w^4 + 5*w^2 - 3*w - 5]', '[5189, 5189, 3*w^4 + 2*w^3 - 18*w^2 - 13*w + 17]', '[5193, 5193, 2*w^4 - 13*w^2 + 11]', '[5197, 5197, -3*w^4 - 4*w^3 + 18*w^2 + 17*w - 13]', '[5199, 5199, -2*w^4 + 2*w^3 + 7*w^2 - 8*w + 7]', '[5199, 5199, -5*w^4 - w^3 + 27*w^2 + 10*w - 25]', '[5202, 306, 6*w^4 + 3*w^3 - 33*w^2 - 19*w + 26]', '[5204, 2602, 2*w^4 + w^3 - 13*w^2 - 2*w + 12]', '[5212, 2606, 8*w^4 - 43*w^2 - 2*w + 26]', '[5216, 326, 2*w^4 - 2*w^3 - 8*w^2 + 4*w - 2]', '[5216, 326, 2*w^4 + 2*w^3 - 12*w^2 - 6*w + 14]', '[5217, 5217, -w^4 + 12*w^2 + 7*w - 19]', '[5218, 5218, -w^4 + 8*w^2 - w - 6]', '[5218, 5218, 6*w^4 + 4*w^3 - 34*w^2 - 21*w + 28]', '[5221, 5221, -w^4 - 2*w^3 + 7*w^2 + 11*w - 1]', '[5221, 5221, -6*w^4 - 4*w^3 + 35*w^2 + 19*w - 31]', '[5223, 5223, -5*w^4 - w^3 + 26*w^2 + 10*w - 9]', '[5227, 5227, -4*w^4 - 2*w^3 + 21*w^2 + 9*w - 11]', '[5228, 2614, w^4 - 3*w^2 - 2*w - 8]', '[5231, 5231, 2*w^4 + 3*w^3 - 10*w^2 - 13*w - 1]', '[5231, 5231, 5*w^4 + 2*w^3 - 26*w^2 - 12*w + 15]', '[5234, 5234, 6*w^4 + 5*w^3 - 32*w^2 - 29*w + 18]', '[5234, 5234, w^4 - w^3 - 3*w^2 + 5*w + 2]', '[5238, 5238, -2*w^4 - 3*w^3 + 11*w^2 + 17*w - 4]', '[5241, 5241, w^4 - w^3 - 5*w^2 + 3*w + 9]', '[5246, 5246, w^3 - 4*w^2 - 5*w + 8]', '[5248, 164, 2*w^4 + 4*w^3 - 14*w^2 - 20*w + 16]', '[5248, 164, -2*w^4 + 10*w^2 + 4*w]', '[5249, 5249, w^3 + 2*w^2 - 9*w + 1]', '[5249, 5249, -w^4 - w^3 + 3*w^2 + 8*w + 1]', '[5251, 5251, w^4 + 3*w^3 - 10*w^2 - 11*w + 11]', '[5251, 5251, 3*w^4 + 3*w^3 - 20*w^2 - 16*w + 21]', '[5256, 1314, 6*w^4 + w^3 - 32*w^2 - 6*w + 24]', '[5259, 5259, -3*w^4 + 2*w^3 + 15*w^2 - 4*w - 5]', '[5261, 5261, -11*w^4 - 5*w^3 + 62*w^2 + 30*w - 43]', '[5261, 5261, -3*w^4 + w^3 + 16*w^2 + w - 9]', '[5262, 5262, w^4 + 3*w^3 - 5*w^2 - 13*w - 6]', '[5266, 5266, -w^4 - 5*w^3 + 8*w^2 + 17*w - 8]', '[5266, 5266, 3*w^4 + w^3 - 12*w^2 - 9*w + 6]', '[5266, 5266, 4*w^4 - 19*w^2 + w + 6]', '[5266, 5266, -9*w^4 - 5*w^3 + 47*w^2 + 29*w - 22]', '[5266, 5266, -3*w^4 - w^3 + 15*w^2 + 3*w - 6]', '[5267, 5267, -2*w^4 - w^3 + 12*w^2 + 2*w - 11]', '[5267, 5267, -3*w^4 - 2*w^3 + 19*w^2 + 8*w - 21]', '[5273, 5273, 2*w^4 + 3*w^3 - 9*w^2 - 14*w - 5]', '[5274, 5274, 6*w^4 + 3*w^3 - 34*w^2 - 15*w + 22]', '[5274, 5274, -4*w^4 + 21*w^2 + 3*w - 20]', '[5274, 5274, -w^4 + 2*w^3 + 2*w^2 - 7*w]', '[5275, 1055, -3*w^4 + w^3 + 16*w^2 - 4*w - 3]', '[5276, 2638, 2*w^4 - 13*w^2 + 10]', '[5276, 2638, 4*w^4 - 2*w^3 - 17*w^2 + 6]', '[5277, 5277, -w^4 + 8*w^2 - 3*w - 7]', '[5283, 5283, 2*w^4 - 2*w^3 - 13*w^2 + w + 13]', '[5288, 1322, 5*w^4 + w^3 - 26*w^2 - 4*w + 16]', '[5289, 5289, -4*w^4 - w^3 + 20*w^2 + 7*w - 13]', '[5289, 5289, -5*w^4 - 4*w^3 + 29*w^2 + 18*w - 19]', '[5294, 5294, 6*w^4 + 2*w^3 - 29*w^2 - 13*w + 4]', '[5296, 662, 7*w^4 + 4*w^3 - 42*w^2 - 22*w + 36]', '[5297, 5297, -3*w^4 - 2*w^3 + 16*w^2 + 8*w - 17]', '[5298, 5298, -6*w^4 - 3*w^3 + 32*w^2 + 19*w - 22]', '[5300, 530, 4*w^4 + w^3 - 21*w^2 - 10*w + 10]', '[5300, 530, 3*w^4 + 3*w^3 - 19*w^2 - 18*w + 14]', '[5300, 530, -4*w^4 + 19*w^2 + 2*w - 6]', '[5303, 5303, -4*w^4 - 2*w^3 + 23*w^2 + 8*w - 17]', '[5307, 5307, 4*w^4 - 22*w^2 - 6*w + 21]', '[5308, 2654, w^4 - 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7]', '[5392, 674, -5*w^4 - 2*w^3 + 30*w^2 + 12*w - 32]', '[5392, 674, 11*w^4 + 4*w^3 - 62*w^2 - 24*w + 48]', '[5393, 5393, 7*w^4 + 3*w^3 - 36*w^2 - 23*w + 19]', '[5393, 5393, 8*w^4 + 4*w^3 - 45*w^2 - 21*w + 33]', '[5398, 5398, -2*w^4 - 5*w^3 + 10*w^2 + 19*w - 10]', '[5398, 5398, -w^4 - 4*w^3 + 8*w^2 + 9*w - 4]', '[5398, 5398, 2*w^4 - 9*w^2 - 7*w + 8]', '[5398, 5398, -9*w^4 - 5*w^3 + 48*w^2 + 27*w - 22]', '[5398, 5398, 2*w^4 - w^3 - 12*w^2 - 3*w + 2]', '[5400, 270, 3*w^4 + 3*w^3 - 16*w^2 - 16*w + 12]', '[5402, 5402, w^4 - 2*w^3 - 4*w^2 + 5*w - 4]', '[5407, 5407, 3*w^4 + 3*w^3 - 20*w^2 - 12*w + 15]', '[5409, 5409, -8*w^4 - w^3 + 46*w^2 + 13*w - 41]', '[5409, 5409, -2*w^4 + 2*w^3 + 7*w^2 + w + 1]', '[5413, 5413, -w^4 + 2*w^3 + 5*w^2 - 5*w - 5]', '[5414, 5414, -w^4 - 2*w^3 + 7*w^2 + 7*w - 12]', '[5414, 5414, 7*w^4 + w^3 - 36*w^2 - 9*w + 10]', '[5422, 5422, -8*w^4 - 6*w^3 + 47*w^2 + 31*w - 40]', '[5422, 5422, w^3 + 3*w^2 + w - 6]', '[5422, 5422, 3*w^4 + 4*w^3 - 16*w^2 - 13*w + 12]', '[5426, 5426, -4*w^3 + w^2 + 13*w - 8]', '[5428, 2714, 2*w^3 + w^2 - 10*w + 2]', '[5429, 5429, -16*w^4 - 7*w^3 + 92*w^2 + 39*w - 75]', '[5429, 5429, -2*w^4 - 3*w^3 + 11*w^2 + 13*w - 13]', '[5436, 2718, 2*w^4 + 5*w^3 - 15*w^2 - 18*w + 12]', '[5438, 5438, -9*w^4 - 3*w^3 + 52*w^2 + 19*w - 40]', '[5438, 5438, 11*w^4 + 4*w^3 - 62*w^2 - 25*w + 46]', '[5438, 5438, -2*w^4 - w^3 + 11*w^2 + w - 4]', '[5442, 5442, -5*w^4 - 6*w^3 + 28*w^2 + 29*w - 18]', '[5442, 5442, -w^4 + 8*w^2 - 3*w - 4]', '[5442, 5442, w^4 - w^3 - 5*w^2 + 5*w + 8]', '[5444, 2722, -w^4 + 2*w^3 + 5*w^2 - 4*w + 8]', '[5444, 2722, -w^4 + 3*w^3 + 5*w^2 - 12*w - 2]', '[5448, 1362, 3*w^4 + w^3 - 16*w^2 - 10*w + 4]', '[5448, 1362, 5*w^4 + w^3 - 26*w^2 - 6*w + 16]', '[5451, 5451, -9*w^4 - 2*w^3 + 50*w^2 + 19*w - 45]', '[5452, 2726, 3*w^4 + w^3 - 15*w^2 - 10*w - 4]', '[5454, 5454, -4*w^4 - 4*w^3 + 22*w^2 + 23*w - 14]', '[5454, 5454, -w^4 + 7*w^2 + w - 14]', '[5458, 5458, -2*w^4 - 2*w^3 + 12*w^2 + 13*w - 10]', '[5458, 5458, -6*w^4 - w^3 + 32*w^2 + 9*w - 16]', '[5462, 5462, 8*w^4 + 3*w^3 - 40*w^2 - 19*w + 14]', '[5462, 5462, -3*w^4 + 2*w^3 + 13*w^2 + w - 2]', '[5463, 5463, -2*w^4 - 2*w^3 + 13*w^2 + 8*w - 17]', '[5463, 5463, -w^4 + w^3 + 6*w^2 - 6*w - 7]', '[5463, 5463, -w^4 + 2*w^3 + 6*w^2 - 4*w - 7]', '[5466, 5466, -4*w^4 - 4*w^3 + 22*w^2 + 21*w - 16]', '[5466, 5466, 2*w^3 - 3*w^2 - 9*w + 2]', '[5468, 2734, 2*w^3 - w^2 - 6*w + 8]', '[5468, 2734, 7*w^4 - 3*w^3 - 35*w^2 + 12*w + 14]', '[5469, 5469, 2*w^4 + 2*w^3 - 11*w^2 - 11*w + 15]', '[5469, 5469, -w^4 + 2*w^3 + 4*w^2 - 8*w - 3]', '[5469, 5469, -7*w^4 - w^3 + 40*w^2 + 8*w - 35]', '[5471, 5471, 5*w^4 + 4*w^3 - 29*w^2 - 19*w + 23]', '[5471, 5471, 4*w^4 + w^3 - 22*w^2 - 10*w + 13]', '[5471, 5471, 4*w^4 - 20*w^2 - 8*w + 15]', '[5475, 1095, 4*w^4 - 22*w^2 + w + 13]', '[5476, 74, -2*w^4 + 4*w^3 + 5*w^2 - 20*w + 10]', '[5476, 74, -3*w^2 + 2*w + 4]', '[5476, 2738, -2*w^3 - w^2 + 10*w + 2]', '[5479, 5479, -2*w^4 + w^3 + 10*w^2 - 3*w - 9]', '[5484, 2742, -4*w^4 + 2*w^3 + 21*w^2 - 6*w - 6]', '[5484, 2742, w^4 + 4*w^3 - 9*w^2 - 16*w + 14]', '[5493, 5493, -w^4 + w^3 + 7*w^2 - 5*w - 7]', '[5496, 1374, w^3 - 4*w + 6]', '[5496, 1374, 2*w^4 - w^3 - 10*w^2 + 4*w + 8]', '[5497, 5497, w^4 - w^3 - 7*w^2 + 4*w + 5]', '[5498, 5498, -3*w^4 - 6*w^3 + 19*w^2 + 29*w - 16]', '[5498, 5498, -w^4 + 3*w^3 + 4*w^2 - 11*w]', '[5498, 5498, -2*w^3 - w^2 + 9*w]', '[5501, 5501, -2*w^4 - 3*w^3 + 14*w^2 + 16*w - 15]', '[5501, 5501, -w^4 - w^3 + 6*w^2 + 9*w - 7]', '[5503, 5503, -4*w^4 - 2*w^3 + 24*w^2 + 8*w - 15]', '[5504, 172, -4*w^3 + 2*w^2 + 16*w - 4]', '[5506, 5506, 8*w^4 + 8*w^3 - 43*w^2 - 43*w + 20]', '[5507, 5507, -w^4 + 3*w^3 + 3*w^2 - 11*w + 9]', '[5507, 5507, 2*w^4 + 2*w^3 - 14*w^2 - 12*w + 13]', '[5514, 5514, -3*w^2 + 5*w + 2]', '[5517, 5517, -2*w^4 - w^3 + 16*w^2 + 3*w - 21]', '[5524, 2762, 2*w^4 - 2*w^3 - 7*w^2 + 8*w - 6]', '[5526, 5526, -6*w^4 - 3*w^3 + 36*w^2 + 17*w - 28]', '[5526, 5526, -2*w^4 + w^3 + 7*w^2 - 3*w + 2]', '[5526, 5526, 4*w^4 + 3*w^3 - 21*w^2 - 19*w + 4]', '[5527, 5527, -w^4 - 2*w^3 + 3*w^2 + 11*w + 5]', '[5531, 5531, w^4 - w^3 - 2*w^2 + 3*w - 5]', '[5531, 5531, -3*w^3 + w^2 + 12*w + 3]', '[5536, 346, -2*w^2 - 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8*w^2 - 5*w + 2]', '[5578, 5578, w^4 + 3*w^3 - 8*w^2 - 13*w + 4]', '[5578, 5578, -5*w^4 - 4*w^3 + 29*w^2 + 21*w - 26]', '[5583, 5583, -4*w^4 + w^3 + 19*w^2 - w - 9]', '[5587, 5587, 5*w^4 + 4*w^3 - 27*w^2 - 24*w + 15]', '[5589, 69, 3*w^3 - 3*w^2 - 9*w + 9]', '[5589, 5589, 2*w^4 - 2*w^3 - 9*w^2 + 8*w - 5]', '[5591, 5591, -3*w^4 - 2*w^3 + 16*w^2 + 14*w - 11]', '[5592, 1398, -3*w^3 + 4*w^2 + 18*w - 16]', '[5594, 5594, 3*w^4 + 3*w^3 - 19*w^2 - 15*w + 14]', '[5594, 5594, -4*w^4 - 2*w^3 + 19*w^2 + 11*w - 4]', '[5594, 5594, -2*w^4 - 2*w^3 + 6*w^2 + 5*w]', '[5601, 5601, w^4 + 3*w^3 - 5*w^2 - 12*w + 1]', '[5601, 5601, -4*w^4 + 18*w^2 + 5*w - 15]', '[5606, 5606, 2*w^4 - 9*w^2 + w - 2]', '[5608, 1402, -w^4 + 3*w^3 + 4*w^2 - 6*w - 4]', '[5612, 2806, -2*w^4 - w^3 + 9*w^2 + 8*w + 2]', '[5613, 5613, 5*w^4 + 3*w^3 - 29*w^2 - 13*w + 23]', '[5613, 5613, 4*w^4 - 22*w^2 - 2*w + 19]', '[5617, 5617, -2*w^3 + 3*w^2 + 4*w + 1]', '[5617, 5617, -2*w^4 - w^3 + 8*w^2 + 6*w + 1]', '[5618, 106, -w^4 - 3*w^3 + 11*w^2 + 11*w - 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9]', '[9942, 9942, -8*w^4 - 5*w^3 + 43*w^2 + 25*w - 18]', '[9942, 9942, -3*w^4 - 2*w^3 + 15*w^2 + 11*w - 12]', '[9942, 9942, -4*w^4 - 3*w^3 + 22*w^2 + 19*w - 14]', '[9942, 9942, w^3 + 2*w^2 - 3*w - 10]', '[9942, 9942, 7*w^4 + 6*w^3 - 38*w^2 - 31*w + 24]', '[9943, 9943, 4*w^4 + 3*w^3 - 21*w^2 - 16*w + 15]', '[9943, 9943, w^4 - w^3 - 4*w^2 + 4*w - 7]', '[9946, 9946, 7*w^4 + 2*w^3 - 36*w^2 - 15*w + 14]', '[9948, 4974, -2*w^4 + 13*w^2 + 2*w - 6]', '[9948, 4974, -4*w^4 + w^3 + 19*w^2 - 6*w - 2]', '[9948, 4974, -8*w^4 - w^3 + 45*w^2 + 8*w - 30]', '[9949, 9949, -6*w^4 - 7*w^3 + 35*w^2 + 36*w - 25]', '[9949, 9949, 3*w^4 + 3*w^3 - 17*w^2 - 15*w + 19]', '[9949, 9949, w^4 - 3*w^3 - 3*w^2 + 12*w - 11]', '[9957, 9957, -5*w^4 + w^3 + 24*w^2 + w - 11]', '[9963, 123, 6*w^2 - 3]', '[9963, 123, 3*w^4 + 3*w^3 - 15*w^2 - 12*w + 15]', '[9963, 9963, -5*w^4 + 26*w^2 + 7*w - 17]', '[9963, 9963, -7*w^4 - 4*w^3 + 39*w^2 + 19*w - 29]', '[9964, 4982, -5*w^4 - 4*w^3 + 31*w^2 + 16*w - 24]', '[9964, 4982, -4*w^4 - 2*w^3 + 23*w^2 + 10*w - 12]', '[9964, 4982, -2*w^4 - 6*w^3 + 17*w^2 + 30*w - 28]', '[9967, 9967, 2*w^4 + 2*w^3 - 10*w^2 - 7*w + 1]', '[9967, 9967, 13*w^4 + 8*w^3 - 77*w^2 - 42*w + 67]', '[9969, 9969, 5*w^4 - 24*w^2 - 9*w + 19]', '[9972, 4986, -5*w^4 - 2*w^3 + 25*w^2 + 10*w - 18]', '[9973, 9973, w^4 + 4*w^3 - 7*w^2 - 15*w + 9]', '[9974, 9974, 3*w^4 + 4*w^3 - 17*w^2 - 17*w + 14]', '[9976, 2494, 3*w^4 + w^3 - 16*w^2 - 8*w + 2]', '[9978, 9978, -w^4 + w^3 + w^2 - w + 6]', '[9981, 9981, -4*w^4 - 4*w^3 + 24*w^2 + 18*w - 21]', '[9981, 9981, 2*w^4 + 5*w^3 - 16*w^2 - 20*w + 11]', '[9992, 2498, -5*w^4 - 3*w^3 + 26*w^2 + 20*w - 8]', '[9993, 9993, -w^4 - 3*w^3 + 9*w^2 + 12*w - 17]', '[9993, 9993, 6*w^4 + w^3 - 33*w^2 - 13*w + 27]', '[9993, 9993, 5*w^4 - w^3 - 24*w^2 + 9]', '[9998, 9998, -w^3 - 2*w^2 + 5*w - 4]', '[9998, 9998, -10*w^4 - 6*w^3 + 58*w^2 + 33*w - 50]', '[10000, 50, -5*w^4 - 2*w^3 + 30*w^2 + 10*w - 22]'], 'label': '5.5.126032.1', 'narrow_class_no': 1, 'primes': ['[2, 2, w]', '[3, 3, w^4 - 5*w^2 - w + 3]', '[23, 23, -w^2 + 3]', '[25, 5, w^3 - 5*w + 1]', '[29, 29, -w^2 + w + 1]', '[37, 37, -w^4 + 5*w^2 + 2*w - 1]', '[41, 41, w^3 - 4*w - 1]', '[41, 41, -2*w^4 - w^3 + 10*w^2 + 6*w - 5]', '[43, 43, 2*w^4 + w^3 - 11*w^2 - 5*w + 7]', '[47, 47, 2*w^4 + 2*w^3 - 11*w^2 - 9*w + 9]', '[53, 53, w^4 + w^3 - 6*w^2 - 6*w + 5]', '[53, 53, 2*w^4 - 11*w^2 - 2*w + 5]', '[53, 53, -2*w^3 + w^2 + 9*w - 5]', '[59, 59, -w^4 + 6*w^2 + w - 3]', '[61, 61, w^4 + w^3 - 7*w^2 - 5*w + 7]', '[73, 73, -4*w^4 - w^3 + 23*w^2 + 6*w - 19]', '[79, 79, -2*w^4 - w^3 + 12*w^2 + 4*w - 9]', '[81, 3, w^4 - w^3 - 5*w^2 + 2*w + 1]', '[83, 83, -w^3 - w^2 + 4*w + 3]', '[83, 83, -2*w^4 + 11*w^2 - 7]', '[89, 89, w^4 - 4*w^2 - 1]', '[89, 89, 2*w^4 - 11*w^2 - w + 9]', '[97, 97, 2*w^4 + 2*w^3 - 11*w^2 - 9*w + 7]', '[101, 101, 4*w^4 + 3*w^3 - 23*w^2 - 16*w + 17]', '[101, 101, -3*w^4 - w^3 + 16*w^2 + 7*w - 11]', '[107, 107, -w^3 + w^2 + 5*w - 1]', '[125, 5, w^4 + 2*w^3 - 5*w^2 - 8*w + 3]', '[131, 131, 2*w^3 - 2*w^2 - 8*w + 3]', '[131, 131, -w^4 - w^3 + 7*w^2 + 4*w - 5]', '[131, 131, -2*w^4 + 10*w^2 + w - 5]', '[137, 137, -3*w^4 - w^3 + 16*w^2 + 7*w - 9]', '[139, 139, -w^4 - w^3 + 7*w^2 + 7*w - 5]', '[151, 151, 2*w^4 + 2*w^3 - 12*w^2 - 10*w + 9]', '[163, 163, w^4 - w^3 - 4*w^2 + 2*w - 1]', '[163, 163, w^4 + w^3 - 6*w^2 - 3*w + 7]', '[173, 173, -w^2 - 1]', '[181, 181, w^4 - 5*w^2 - 1]', '[181, 181, w^4 + w^3 - 5*w^2 - 5*w - 1]', '[197, 197, -2*w^4 + 10*w^2 - 3]', '[211, 211, w^4 + w^3 - 5*w^2 - 5*w + 5]', '[223, 223, w^4 + 2*w^3 - 7*w^2 - 6*w + 7]', '[223, 223, -w^4 - 2*w^3 + 7*w^2 + 8*w - 7]', '[227, 227, -w^4 - w^3 + 4*w^2 + 5*w - 1]', '[227, 227, -2*w^4 - w^3 + 12*w^2 + 7*w - 11]', '[229, 229, -w^4 + w^3 + 5*w^2 - 2*w - 3]', '[229, 229, w^4 - 6*w^2 - 2*w + 7]', '[233, 233, 3*w^4 - 17*w^2 - 3*w + 13]', '[239, 239, w^4 - w^3 - 4*w^2 + 4*w + 1]', '[241, 241, w^4 + w^3 - 5*w^2 - 3*w + 1]', '[257, 257, -w^4 + 5*w^2 + w + 1]', '[271, 271, -4*w^4 - w^3 + 24*w^2 + 7*w - 21]', '[277, 277, 2*w^4 + w^3 - 10*w^2 - 6*w + 7]', '[283, 283, -2*w^4 + 9*w^2 + 2*w - 3]', '[289, 17, 3*w^4 + w^3 - 17*w^2 - 6*w + 11]', '[293, 293, -w^4 - 2*w^3 + 6*w^2 + 10*w - 7]', '[293, 293, 2*w^4 + 2*w^3 - 12*w^2 - 11*w + 11]', '[293, 293, -6*w^4 - 3*w^3 + 34*w^2 + 17*w - 27]', '[307, 307, 3*w^4 - w^3 - 15*w^2 + 3*w + 3]', '[307, 307, -3*w^4 - w^3 + 19*w^2 + 6*w - 21]', '[307, 307, w^2 - 2*w - 5]', '[331, 331, 2*w^4 - 11*w^2 - 3*w + 7]', '[337, 337, -w^4 + 6*w^2 - w - 5]', '[337, 337, 2*w^4 + 2*w^3 - 12*w^2 - 9*w + 11]', '[347, 347, w^4 - w^3 - 4*w^2 + 3*w - 3]', '[347, 347, w^4 - w^3 - 6*w^2 + 3*w + 5]', '[359, 359, -2*w^4 - w^3 + 11*w^2 + 4*w - 7]', '[359, 359, -3*w^4 - 2*w^3 + 14*w^2 + 9*w - 5]', '[367, 367, w^4 + 2*w^3 - 6*w^2 - 8*w + 7]', '[367, 367, -3*w^4 - w^3 + 15*w^2 + 5*w - 7]', '[373, 373, w^4 + w^3 - 5*w^2 - 4*w - 1]', '[389, 389, w^4 - 2*w^3 - 4*w^2 + 7*w + 1]', '[389, 389, -w^4 + 7*w^2 - w - 9]', '[397, 397, w^3 - 2*w^2 - 6*w + 7]', '[401, 401, -w^4 + w^3 + 7*w^2 - 3*w - 9]', '[419, 419, 2*w^3 - 9*w + 1]', '[421, 421, 2*w^4 + w^3 - 11*w^2 - 4*w + 5]', '[421, 421, w^2 + w - 5]', '[431, 431, 3*w^4 + 3*w^3 - 18*w^2 - 13*w + 13]', '[431, 431, 2*w^2 + w - 5]', '[431, 431, 2*w^4 + 2*w^3 - 13*w^2 - 10*w + 13]', '[431, 431, w^3 + w^2 - 5*w - 3]', '[431, 431, -w^4 + 6*w^2 - w - 7]', '[443, 443, w^4 + 2*w^3 - 5*w^2 - 9*w + 5]', '[457, 457, -2*w^4 - w^3 + 10*w^2 + 7*w - 7]', '[457, 457, 2*w^4 - 11*w^2 - 3*w + 5]', '[463, 463, -3*w^4 - w^3 + 15*w^2 + 7*w - 7]', '[479, 479, 2*w^3 + w^2 - 7*w - 1]', '[487, 487, -4*w^4 - 2*w^3 + 22*w^2 + 13*w - 9]', '[491, 491, 2*w^4 + 2*w^3 - 11*w^2 - 10*w + 9]', '[499, 499, 3*w^4 - 17*w^2 - 3*w + 15]', '[509, 509, -w^4 + 7*w^2 - 7]', '[523, 523, 2*w^4 - w^3 - 9*w^2 + 5*w + 3]', '[541, 541, w^4 + w^3 - 6*w^2 - 7*w + 7]', '[541, 541, 3*w^4 + w^3 - 16*w^2 - 4*w + 11]', '[547, 547, -w^4 - w^3 + 5*w^2 + 3*w - 7]', '[547, 547, w^4 + w^3 - 7*w^2 - 6*w + 11]', '[547, 547, 6*w^4 + 4*w^3 - 35*w^2 - 21*w + 29]', '[557, 557, 6*w^4 + 2*w^3 - 34*w^2 - 13*w + 25]', '[557, 557, 5*w^4 + 4*w^3 - 30*w^2 - 21*w + 27]', '[569, 569, w^4 - w^3 - 3*w^2 + 4*w - 3]', '[577, 577, w^4 - w^3 - 4*w^2 + 2*w + 5]', '[587, 587, 2*w^4 + w^3 - 13*w^2 - 7*w + 9]', '[593, 593, 2*w^4 + 2*w^3 - 11*w^2 - 12*w + 9]', '[593, 593, w^4 + w^3 - 7*w^2 - 2*w + 7]', '[601, 601, 2*w^4 + w^3 - 9*w^2 - 7*w + 5]', '[601, 601, -4*w^4 - 2*w^3 + 24*w^2 + 11*w - 19]', '[607, 607, -2*w^4 - w^3 + 12*w^2 + 6*w - 7]', '[607, 607, -w^4 - 3*w^3 + 7*w^2 + 14*w - 11]', '[607, 607, w^4 + 2*w^3 - 5*w^2 - 8*w - 1]', '[613, 613, -4*w^4 - 2*w^3 + 22*w^2 + 13*w - 15]', '[617, 617, w^3 - 6*w - 1]', '[617, 617, 9*w^4 + 5*w^3 - 52*w^2 - 27*w + 43]', '[619, 619, 2*w^4 + 3*w^3 - 12*w^2 - 14*w + 13]', '[641, 641, 2*w^4 + w^3 - 11*w^2 - 8*w + 7]', '[641, 641, -2*w^4 - 2*w^3 + 14*w^2 + 10*w - 15]', '[643, 643, 2*w^3 - 3*w^2 - 9*w + 9]', '[643, 643, -3*w^4 + 16*w^2 - 11]', '[647, 647, -w^4 + w^3 + 6*w^2 - w - 7]', '[661, 661, -6*w^4 - 2*w^3 + 35*w^2 + 11*w - 31]', '[673, 673, w^4 - 2*w^3 - 3*w^2 + 5*w + 3]', '[701, 701, w^4 + w^3 - 8*w^2 - 6*w + 7]', '[709, 709, 6*w^4 + 3*w^3 - 33*w^2 - 17*w + 23]', '[709, 709, -3*w^4 - 2*w^3 + 17*w^2 + 11*w - 15]', '[719, 719, 2*w^2 - 7]', '[727, 727, 3*w^4 + 3*w^3 - 17*w^2 - 17*w + 7]', '[733, 733, 5*w^4 + 2*w^3 - 28*w^2 - 11*w + 19]', '[757, 757, -4*w^4 - 3*w^3 + 21*w^2 + 15*w - 13]', '[761, 761, -6*w^4 - 3*w^3 + 35*w^2 + 16*w - 27]', '[761, 761, 2*w^4 - 12*w^2 - w + 7]', '[761, 761, w^4 + 2*w^3 - 5*w^2 - 11*w - 1]', '[769, 769, -4*w^4 - 2*w^3 + 21*w^2 + 10*w - 13]', '[797, 797, -4*w^4 - 4*w^3 + 23*w^2 + 20*w - 17]', '[797, 797, 2*w^4 - 8*w^2 - w + 1]', '[809, 809, -w^4 - w^3 + 7*w^2 + 9*w - 3]', '[811, 811, 3*w^4 + w^3 - 18*w^2 - 5*w + 13]', '[823, 823, 3*w^4 + 2*w^3 - 19*w^2 - 10*w + 15]', '[823, 823, -2*w^4 - 3*w^3 + 11*w^2 + 13*w - 9]', '[827, 827, w^3 + w^2 - 6*w + 1]', '[827, 827, 2*w^4 + w^3 - 12*w^2 - 5*w + 7]', '[829, 829, -w^4 - 2*w^3 + 7*w^2 + 8*w - 11]', '[829, 829, 4*w^4 + w^3 - 22*w^2 - 8*w + 15]', '[829, 829, 3*w^4 + w^3 - 14*w^2 - 6*w + 5]', '[839, 839, -2*w^4 + 12*w^2 + 2*w - 7]', '[853, 853, -3*w^4 - 2*w^3 + 16*w^2 + 9*w - 7]', '[857, 857, 2*w^4 + w^3 - 9*w^2 - 6*w + 1]', '[857, 857, 2*w^4 + 2*w^3 - 11*w^2 - 7*w + 5]', '[859, 859, w^4 - 2*w^3 - 5*w^2 + 8*w + 3]', '[859, 859, w^4 + w^3 - 6*w^2 - 5*w + 9]', '[877, 877, -4*w^4 - 3*w^3 + 24*w^2 + 15*w - 19]', '[883, 883, -w^4 - w^3 + 8*w^2 + 4*w - 11]', '[907, 907, 3*w^4 + w^3 - 18*w^2 - 7*w + 13]', '[907, 907, -3*w^4 + 16*w^2 + 3*w - 9]', '[907, 907, -2*w^4 + 9*w^2 + 1]', '[911, 911, w^4 - w^3 - 3*w^2 + 4*w - 5]', '[911, 911, -4*w^4 - 3*w^3 + 21*w^2 + 14*w - 11]', '[919, 919, 4*w^4 + w^3 - 21*w^2 - 8*w + 11]', '[929, 929, w^3 + w^2 - 3*w - 5]', '[929, 929, -3*w^4 - 2*w^3 + 17*w^2 + 9*w - 11]', '[937, 937, 4*w^4 + w^3 - 21*w^2 - 9*w + 13]', '[941, 941, -w^4 + w^3 + 5*w^2 - 4*w - 5]', '[953, 953, 2*w^3 - 2*w^2 - 6*w - 1]', '[953, 953, 3*w^4 + 2*w^3 - 19*w^2 - 11*w + 15]', '[961, 31, -5*w^4 - 2*w^3 + 27*w^2 + 12*w - 17]', '[967, 967, -w^4 - w^3 + 8*w^2 + 5*w - 13]', '[967, 967, 4*w^4 + 3*w^3 - 23*w^2 - 14*w + 15]', '[977, 977, w^3 + w^2 - 5*w - 1]', '[977, 977, -3*w^4 - 3*w^3 + 16*w^2 + 13*w - 11]', '[991, 991, -w^4 + w^3 + 5*w^2 - 6*w - 1]']}
• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 6, 0, -6, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 126032, 'disc_rad': 15754, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1], [1, 1]]], [5, [[3, 1], [2, 1]]], [7, [[5, 1]]], [11, [[5, 1]]], [13, [[5, 1]]], [17, [[3, 1], [2, 1]]], [19, [[5, 1]]], [23, [[4, 1], [1, 1]]], [29, [[4, 1], [1, 1]]], [31, [[3, 1], [2, 1]]], [37, [[2, 2], [1, 1]]], [41, [[3, 1], [1, 2]]], [43, [[4, 1], [1, 1]]], [47, [[2, 2], [1, 1]]], [53, [[2, 1], [1, 3]]], [59, [[4, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [96, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 154.52701637191086, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.5.126032.1', 'local_algs': ['2.5.4.1', 'm7877.2.1.1', 'm7877.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 7877], 'rd': 10.4736043891, 'regulator': {'__RealLiteral__': 0, 'data': '12.0598883245', 'prec': 44}, 'res': {'sib': ['-1793861572,36923384,193373400,-315584,-6896948,-80710,91996,1172,-508,-4,1', '-21122,-1295,2849,134,-106,-3,1', '-4898789,-174420116,2216583681,-4656653992,-4312031072,7752196740,3220610760,-5485533070,-1214758555,2200254596,238740964,-553263288,-17229991,90726070,-2361692,-9760570,681779,674172,-70038,-28294,3686,644,-97,-6,1', '-58200643357,96664027138,59223333353,-139511486298,3963598515,60001808836,-10106042238,-12103084508,2643773195,1348528908,-322932243,-88385320,21958081,3436530,-865172,-76406,19273,880,-221,-4,1', '1,-10,15,66,-62,-80,56,26,-15,-2,1', '1,13,-42,-802,-461,15408,30401,-103398,-303236,265841,1292857,-105880,-2923530,-732470,3909686,1561158,-3279212,-1481604,1772534,787102,-618603,-246121,136566,45166,-18337,-4674,1417,246,-58,-5,1', '1,7,-79,-97,1010,649,-5149,-2373,12526,4537,-15175,-4295,9286,1921,-2899,-381,460,33,-35,-1,1', '11,290,1071,-1490,-1918,2080,1011,-1154,-88,240,-37,-6,1', '146,2526,11140,11406,-18414,-31519,8136,22867,-2096,-6308,264,802,-12,-47,0,1', '1711932,-34042328,76046128,1224873168,-4709774028,-12223991264,67131112170,702225258,-310980316974,364662657238,149391624541,-444377329303,111388462719,181012892421,-102677503592,-23598987875,28796343745,-1827218827,-3623620520,722729521,228649875,-74177673,-6580402,3870345,-445,-112211,5192,1725,-127,-11,1', '177731,630749,-973521,-3607069,2347408,7980279,-3299115,-8687715,2877258,4907921,-1491747,-1387851,415816,175883,-53589,-10411,3266,287,-93,-3,1', '731851919,-13571901248,60026560417,190020336728,-1725613363748,1253070312404,13110660078442,-26434111641254,-29165991823084,120968828232428,-28217429658031,-223448155137594,184027213040594,184707580101836,-275200552770912,-40943749190752,203468138580141,-42836829819002,-82904234787844,38153031225282,18179920169314,-14204762814682,-1546395168054,3026954915452,-201960508966,-397279762028,73574727902,32038889592,-9710324372,-1425368628,733296868,14584592,-33706101,1905122,904871,-106362,-11666,2356,6,-20,1', '99052,-4103492,56642752,-239574548,-683221660,5456154126,30006800,-30876650646,18590024538,60166140962,-48647933993,-51282457646,50784060808,19750159010,-26600394361,-2455942890,7605575402,-511157306,-1224892424,206085606,110709278,-27723908,-5377392,1922496,110008,-73444,1001,1468,-82,-12,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} + a^{3} - 6 a^{2} - 5 a + 5 \\)', '\\( a - 1 \\)', '\\( a^{4} - 6 a^{2} - a + 5 \\)', '\\( a^{4} - 5 a^{2} - a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}