Hilbert modular form data - 4.4.15529.1-10.1-f

Formats: - HTML - YAML - JSON - 2024-04-30T13:51:50.037324

• 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': 4, 'dimension': 3, 'disc': 15529, 'field_bad_primes': [53, 293], 'field_label': '4.4.15529.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '4.4.15529.1-10.1-f', 'label_nsuffix': 5, 'label_suffix': 'f', 'level_bad_primes': [2, 5], 'level_ideal': '[10, 10, w^3 - w^2 - 5*w]', 'level_label': '10.1', 'level_norm': 10, 'parallel_weight': 2, 'short_label': '10.1-f', 'weight': '[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], ['[5, 5, w - 1]', -1]], 'hecke_eigenvalues': [-1, 1, 'e', '1/2*e^2 + 1/2*e - 4', '-1/2*e^2 - 3/2*e + 3', '-e - 1', '-e - 5', '1/2*e^2 + 5/2*e - 6', '1/2*e^2 + 5/2*e - 2', 'e - 1', '3/2*e^2 + 5/2*e - 13', '-5/2*e^2 - 11/2*e + 19', '-5/2*e^2 - 9/2*e + 16', '-e^2 - 2*e + 5', '1/2*e^2 - 3/2*e - 8', '-2*e', '1/2*e^2 + 1/2*e - 12', 'e^2 + 4*e - 13', '-2*e - 4', '-3/2*e^2 - 7/2*e + 10', '2*e^2 + 7*e - 23', '-e^2 - 5*e + 12', '3*e + 1', '3*e - 3', '3/2*e^2 + 13/2*e - 7', '2*e - 8', '-3/2*e^2 - 9/2*e + 9', '7/2*e^2 + 11/2*e - 24', '2*e^2 + 8*e - 18', 'e^2 + 3*e - 16', '1/2*e^2 + 3/2*e - 9', '-3/2*e^2 - 11/2*e + 6', '1/2*e^2 - 3/2*e - 12', '4*e^2 + 8*e - 28', '-2*e^2 - 5*e + 27', '3/2*e^2 - 3/2*e - 23', '-1/2*e^2 + 1/2*e + 5', '-e^2 - e + 12', '2*e^2 + 4*e - 26', '3/2*e^2 + 7/2*e - 16', '-1/2*e^2 - 1/2*e - 2', '4*e^2 + 8*e - 22', '-3*e^2 - 8*e + 13', '3/2*e^2 + 5/2*e - 11', '-5/2*e^2 - 15/2*e + 25', '9/2*e^2 + 11/2*e - 37', '-3*e^2 - 2*e + 29', 'e^2 + 6*e + 7', '-1/2*e^2 - 7/2*e + 17', '-5*e - 7', '-4*e^2 - 6*e + 38', '-1/2*e^2 + 3/2*e + 10', '3/2*e^2 + 13/2*e - 19', '-3*e^2 - 9*e + 24', '-5/2*e^2 - 15/2*e + 7', '-1/2*e^2 + 1/2*e - 15', '3*e^2 + 9*e - 12', '-11/2*e^2 - 17/2*e + 33', '-e^2 + 1', '2*e^2 + 2*e - 8', '-e^2 - 7*e + 12', '-2*e^2 - 6*e + 14', '-5/2*e^2 - 5/2*e + 30', '-2*e^2 - 4*e + 12', '-3*e^2 - e + 26', '5/2*e^2 + 27/2*e - 23', '-3/2*e^2 - 15/2*e - 4', '-3*e^2 - 11*e + 16', '-9/2*e^2 - 19/2*e + 27', '5*e^2 + 17*e - 42', '9/2*e^2 + 9/2*e - 40', '7*e^2 + 13*e - 48', '-2*e + 14', '4*e^2 + 10*e - 42', '-7/2*e^2 - 23/2*e + 30', '-6*e^2 - 7*e + 41', '6*e + 16', '-7/2*e^2 - 11/2*e + 34', '6*e + 16', '3*e^2 + 9*e - 34', '5*e^2 + 10*e - 29', '-5*e - 23', '-3/2*e^2 - 17/2*e + 13', '-1/2*e^2 + 1/2*e + 3', '3*e^2 + 11*e - 32', '11/2*e^2 + 31/2*e - 38', '2*e^2 - 24', '-6*e^2 - 14*e + 54', '-5/2*e^2 - 19/2*e + 17', '-9/2*e^2 - 15/2*e + 43', '6*e^2 + 19*e - 47', '-5/2*e^2 - 1/2*e + 30', -4, '1/2*e^2 - 7/2*e - 34', '-1/2*e^2 - 15/2*e - 9', '9/2*e^2 + 9/2*e - 26', '-3/2*e^2 - 15/2*e', '-13/2*e^2 - 25/2*e + 52', '-4*e - 24', 'e^2 + 3*e - 14', '-e^2 - 6*e + 27', '-5*e^2 - 16*e + 37', '-4*e^2 - 10*e + 16', '-6*e^2 - 16*e + 56', '5/2*e^2 + 9/2*e - 26', '-3/2*e^2 - 11/2*e + 20', '-3*e^2 - 11*e + 22', '-9/2*e^2 - 17/2*e + 10', '-1/2*e^2 + 19/2*e + 26', '-1/2*e^2 - 13/2*e', '-2*e^2 + 2*e + 24', '-7/2*e^2 + 1/2*e + 38', '-3*e^2 - 5*e + 20', '5/2*e^2 + 13/2*e - 18', '7/2*e^2 + 23/2*e - 32', '7/2*e^2 - 5/2*e - 34', '15/2*e^2 + 25/2*e - 47', '-5*e^2 - 13*e + 50', '11/2*e^2 + 15/2*e - 36', '-3*e^2 - 7*e + 42', '-5*e^2 - 11*e + 50', '4*e^2 + 12*e - 24', '2*e^2 - 5*e - 29', '-4*e^2 - 10*e + 56', '3*e^2 + 13*e - 32', '11/2*e^2 + 11/2*e - 44', '3/2*e^2 + 1/2*e - 31', '13/2*e^2 + 37/2*e - 58', '-2*e^2 + 30', '7/2*e^2 + 29/2*e - 19', '-3*e^2 - 6*e + 1', '7/2*e^2 + 25/2*e - 17', '-7*e^2 - 17*e + 56', 'e^2 + e + 6', '-9/2*e^2 - 21/2*e + 38', '4*e^2 + 5*e - 41', '-2*e^2 - 8*e - 12', '2*e^2 - 3*e - 45', '2*e^2 + e - 39', '-2*e^2 - 11*e + 5', '13/2*e^2 + 23/2*e - 47', '1/2*e^2 + 11/2*e - 3', '-9/2*e^2 - 39/2*e + 35', '-5/2*e^2 - 25/2*e + 8', '-7/2*e^2 - 29/2*e + 43', '2*e^2 + 8*e - 24', '3/2*e^2 - 1/2*e', '6*e^2 + 10*e - 62', '7/2*e^2 + 23/2*e - 40', '-e^2 - 7*e + 32', '5*e^2 + 11*e - 16', '-3*e^2 + 3*e + 42', '-11/2*e^2 - 21/2*e + 47', '5*e^2 + 21*e - 38', '-9*e^2 - 22*e + 69', '-3/2*e^2 - 19/2*e + 14', '2*e^2 + 4*e + 10', '-4*e^2 - 2*e + 58', '3*e^2 + 3*e - 6', '-1/2*e^2 - 21/2*e + 12', '1/2*e^2 - 9/2*e - 27', '-2*e^2 - 4*e - 6', '-1/2*e^2 + 7/2*e + 10', '23/2*e^2 + 43/2*e - 82', '-3*e^2 - 11*e + 28', '5/2*e^2 + 7/2*e - 61', '-3*e^2 - e + 54'], 'hecke_polynomial': 'x^3 + x^2 - 12*x + 8', 'label': '4.4.15529.1-10.1-f'}
• hmf_fields •

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

  
  {'degree': 4, 'discriminant': 15529, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[4, 4, w^3 - 2*w^2 - 4*w + 4]', '[5, 5, w - 1]', '[8, 2, -w^3 + w^2 + 6*w + 1]', '[8, 8, -w^3 + w^2 + 5*w + 2]', '[9, 3, -w^3 + w^2 + 5*w + 1]', '[9, 3, -w^3 + 2*w^2 + 3*w - 1]', '[10, 10, w^3 - w^2 - 5*w]', '[16, 2, 2]', '[16, 16, -w + 2]', '[18, 6, -w^2 + w + 4]', '[18, 6, w^3 - 2*w^2 - 5*w + 4]', '[19, 19, -w^3 + 2*w^2 + 4*w - 1]', '[20, 20, w^2 - 2*w - 4]', '[23, 23, w^2 - 2*w - 1]', '[25, 25, w^3 - 2*w^2 - 4*w + 5]', '[29, 29, w^2 - 3*w - 1]', '[29, 29, -w^2 + w + 3]', '[32, 4, 2*w]', '[32, 32, -w^2 + 2*w]', '[36, 12, -w^2 + 3*w + 2]', '[36, 12, -w^3 + w^2 + 4*w]', '[37, 37, w^3 - w^2 - 5*w + 1]', '[38, 38, w^3 - 2*w^2 - 2*w + 2]', '[40, 10, w^3 - w^2 - 6*w + 1]', '[40, 40, w^3 - 2*w^2 - 4*w]', '[43, 43, -w^3 + 2*w^2 + 3*w - 3]', '[45, 15, 2*w^3 - 3*w^2 - 10*w + 1]', '[45, 15, w^3 - 2*w^2 - 5*w + 1]', '[46, 46, w^3 - 6*w - 6]', '[47, 47, -w^2 + 2*w + 5]', '[47, 47, 2*w^3 - 2*w^2 - 11*w - 5]', '[50, 50, -w^3 + 7*w + 4]', '[53, 53, -w^3 + 2*w^2 + 2*w + 1]', '[58, 58, w^3 - 7*w - 8]', '[58, 58, -w^3 + w^2 + 6*w - 2]', '[59, 59, -w - 3]', '[64, 4, w^3 - 3*w^2 + 3]', '[64, 8, 2*w^3 - 4*w^2 - 8*w + 8]', '[64, 64, -w^2 + 4]', '[72, 6, w^3 - 3*w^2 - 2*w + 3]', '[72, 6, -w^3 + w^2 + 4*w + 3]', '[72, 24, 2*w^3 - 5*w^2 - 4*w + 4]', '[72, 24, -w^3 + 2*w^2 + 3*w + 2]', '[73, 73, w^2 - w + 1]', '[73, 73, 2*w^3 - 2*w^2 - 12*w - 5]', '[74, 74, w^2 + 2*w - 2]', '[76, 76, -w^3 + 2*w^2 + 6*w]', '[79, 79, 4*w^3 - 4*w^2 - 22*w - 7]', '[80, 10, 2*w - 2]', '[80, 80, -w^2 + 3*w - 2]', '[81, 3, 3]', '[81, 9, w^2 + 1]', '[81, 9, -w^2 + w + 7]', '[86, 86, w^3 - 3*w^2 - 4*w + 2]', '[90, 30, -w^3 + 2*w^2 + 3*w - 4]', '[90, 30, w^3 - 2*w^2 - 2*w - 2]', '[92, 92, 2*w^3 - 3*w^2 - 9*w + 2]', '[94, 94, -w^3 + 2*w^2 + 5*w]', '[94, 94, w^2 - 3*w - 4]', '[95, 95, 2*w^3 - 4*w^2 - 6*w + 3]', '[97, 97, 2*w^3 - 3*w^2 - 9*w + 1]', '[100, 100, w^3 - 3*w^2 - 2*w + 4]', '[101, 101, 2*w^2 - 2*w - 9]', '[103, 103, -w^3 + 2*w^2 + 3*w - 5]', '[106, 106, -2*w^3 + w^2 + 12*w + 6]', '[107, 107, 2*w^3 - 4*w^2 - 6*w + 1]', '[113, 113, 2*w^2 - 4*w - 7]', '[113, 113, w^3 - w^2 - 7*w + 1]', '[115, 115, -2*w^3 + 2*w^2 + 12*w + 3]', '[116, 116, w^3 - 3*w^2 - 4*w + 8]', '[116, 116, w^3 - w^2 - 7*w - 2]', '[118, 118, -w^2 - 3*w]', '[125, 5, -2*w^3 + 5*w^2 + 7*w - 11]', '[125, 125, w^3 - w^2 - 5*w - 5]', '[128, 4, -2*w^3 + 2*w^2 + 12*w + 2]', '[128, 16, -2*w^3 + 2*w^2 + 10*w + 4]', '[128, 128, -2*w^3 + 3*w^2 + 9*w + 2]', '[137, 137, -w^2 + 4*w + 3]', '[137, 137, -w^3 + 3*w^2 + 3*w - 7]', '[139, 139, -3*w - 1]', '[144, 6, -2*w^3 + 2*w^2 + 10*w + 2]', '[144, 6, -2*w^3 + 4*w^2 + 6*w - 2]', '[144, 48, w^3 - 3*w^2 + w + 2]', '[144, 48, -2*w^3 + 3*w^2 + 10*w]', '[145, 145, -w^3 + 2*w^2 + 2*w - 3]', '[145, 145, -3*w^3 + 3*w^2 + 17*w + 3]', '[146, 146, -4*w^3 + 7*w^2 + 19*w - 8]', '[146, 146, -3*w - 4]', '[148, 148, 5*w^3 - 8*w^2 - 23*w + 10]', '[151, 151, 2*w^3 - 2*w^2 - 11*w - 1]', '[152, 38, -w^3 + w^2 + 6*w + 5]', '[152, 152, -w^3 + w^2 + 4*w + 4]', '[157, 157, -2*w^3 + 3*w^2 + 11*w - 3]', '[158, 158, 2*w^2 - 3*w - 8]', '[160, 20, 2*w^3 - 2*w^2 - 10*w]', '[160, 160, 2*w^3 - 3*w^2 - 11*w + 2]', '[162, 6, 3*w]', '[162, 18, -w^3 + w^2 + 7*w]', '[162, 18, -3*w^3 + 5*w^2 + 15*w - 4]', '[163, 163, 2*w^3 - 3*w^2 - 8*w + 3]', '[163, 163, -w^3 + w^2 + 7*w + 1]', '[167, 167, 2*w^3 - 5*w^2 - 5*w + 1]', '[167, 167, -w^3 + 7*w + 3]', '[171, 57, -w^2 + 5]', '[171, 57, -2*w^2 + 2*w + 11]', '[172, 172, -4*w^3 + 7*w^2 + 18*w - 12]', '[173, 173, -3*w^3 + 4*w^2 + 16*w - 3]', '[180, 60, 3*w^3 - 2*w^2 - 18*w - 8]', '[180, 60, 2*w^2 - 5*w - 2]', '[181, 181, 2*w - 3]', '[184, 46, w^3 - w^2 - 4*w - 5]', '[184, 184, -w^3 + 3*w^2 + 4*w - 4]', '[185, 185, -w^3 + 2*w^2 + 7*w - 3]', '[188, 188, w^3 - 3*w^2 - 4*w]', '[188, 188, w^3 - w^2 - w + 2]', '[190, 190, -w^3 + 3*w^2 + 4*w - 6]', '[194, 194, -w^3 + 3*w^2 + 3*w - 4]', '[197, 197, -2*w^3 + 6*w^2 + 6*w - 17]', '[199, 199, 2*w^3 - 4*w^2 - 5*w + 1]', '[200, 50, -w^3 + 3*w^2 + 4*w - 1]', '[200, 200, -2*w^3 + 4*w^2 + 5*w - 2]', '[202, 202, 2*w^3 - 2*w^2 - 9*w]', '[206, 206, w^3 - 3*w^2 - 6*w + 2]', '[207, 69, w^2 - 3*w - 5]', '[207, 69, w^3 + w^2 - 9*w - 11]', '[211, 211, w^3 - 2*w^2 - 6*w + 5]', '[212, 212, -w^3 + 4*w + 4]', '[214, 214, w^3 + w^2 - 8*w - 10]', '[215, 215, 2*w^3 - 5*w^2 - 7*w + 5]', '[225, 75, -2*w^3 + 4*w^2 + 7*w + 1]', '[225, 75, -3*w^3 + 5*w^2 + 13*w - 5]', '[226, 226, 2*w^3 - 4*w^2 - 7*w]', '[226, 226, -w^2 + 2*w - 2]', '[227, 227, -w^3 + 4*w^2 + 2*w - 13]', '[227, 227, w^3 - 2*w^2 - 5*w - 3]', '[229, 229, 2*w^2 - w - 7]', '[230, 230, w + 4]', '[232, 58, -w^3 + 3*w^2 + 4*w - 5]', '[232, 58, -3*w^3 + 3*w^2 + 16*w + 5]', '[232, 232, -3*w^3 + 4*w^2 + 15*w + 2]', '[232, 232, -2*w^3 + 4*w^2 + 7*w - 6]', '[233, 233, 2*w - 5]', '[233, 233, 3*w^3 - 4*w^2 - 16*w - 1]', '[235, 235, -w^3 + 3*w^2 + 3*w - 5]', '[235, 235, -2*w^3 + 3*w^2 + 8*w + 1]', '[236, 236, -2*w^3 + 4*w^2 + 7*w - 10]', '[239, 239, -2*w^3 + w^2 + 12*w + 11]', '[239, 239, -3*w^3 + 2*w^2 + 19*w + 9]', '[250, 10, 3*w^3 - 5*w^2 - 13*w + 4]', '[250, 250, w^2 - 4*w - 2]', '[251, 251, 3*w^3 - 2*w^2 - 17*w - 7]', '[256, 4, 4]', '[256, 32, -2*w + 4]', '[256, 256, w^3 - 3*w^2 + 4]', '[257, 257, -w^3 - w^2 + 7*w + 9]', '[257, 257, 3*w^3 - 4*w^2 - 15*w + 3]', '[261, 87, 2*w^2 - 3*w - 7]', '[261, 87, -w^3 + 2*w^2 + 3*w - 7]', '[261, 87, -w^2 + 4*w + 1]', '[261, 87, -2*w^3 + 2*w^2 + 13*w + 5]', '[265, 265, w^3 - 7*w - 9]', '[269, 269, -3*w^3 + 4*w^2 + 14*w + 3]', '[271, 271, 2*w^3 - 14*w - 15]', '[274, 274, -w^3 + 4*w^2 + 3*w]', '[274, 274, 2*w^3 - 3*w^2 - 8*w + 2]', '[277, 277, w^3 - 2*w^2 - w + 3]', '[277, 277, 2*w^3 - 6*w^2 + w + 5]', '[278, 278, -3*w^2 - w]', '[281, 281, w^3 - 2*w^2 - 3*w - 3]', '[281, 281, -2*w^3 + 3*w^2 + 10*w + 1]', '[288, 12, -2*w^2 + 2*w + 8]', '[288, 12, 2*w^3 - 4*w^2 - 10*w + 8]', '[288, 96, w^3 - 2*w^2 - 2*w + 4]', '[288, 96, w^3 - 3*w^2 - 2*w + 8]', '[289, 17, w^3 + 2*w^2 - 10*w - 17]', '[289, 17, 3*w^3 - 6*w^2 - 13*w + 13]', '[290, 290, -w^2 + 6]', '[290, 290, 2*w^3 - 3*w^2 - 12*w - 2]', '[292, 292, w^3 - 2*w^2 - 7*w + 2]', '[292, 292, -2*w^2 + 3*w + 6]', '[293, 293, 2*w^3 - w^2 - 13*w - 5]', '[295, 295, -w^2 - 2*w + 3]', '[296, 74, -w^3 + 3*w^2 + 4*w - 9]', '[296, 296, w^2 - 3*w - 6]', '[302, 302, w^2 + w - 4]', '[304, 38, -2*w^3 + 4*w^2 + 8*w - 2]', '[304, 304, -2*w^2 + 3*w + 2]', '[311, 311, w^3 - w^2 - 3*w - 3]', '[311, 311, 2*w^3 - 3*w^2 - 11*w - 1]', '[313, 313, -2*w^3 + 4*w^2 + 9*w - 3]', '[314, 314, w^3 - w^2 - 5*w + 4]', '[316, 316, 2*w^3 - 3*w^2 - 8*w]', '[317, 317, -3*w^3 + 3*w^2 + 17*w + 7]', '[320, 20, w^3 + w^2 - 8*w - 9]', '[320, 40, 2*w^2 - 4*w - 8]', '[320, 320, -w^3 + w^2 + 4*w - 4]', '[324, 12, 3*w^3 - 6*w^2 - 12*w + 12]', '[324, 36, w^2 - w + 2]', '[324, 36, -w^3 - w^2 + 8*w + 8]', '[326, 326, -w^3 + 4*w^2 + 5*w - 4]', '[326, 326, w^2 + 2]', '[331, 331, -2*w^3 + 3*w^2 + 8*w - 1]', '[333, 111, -2*w^3 + 4*w^2 + 6*w - 5]', '[333, 111, -w^3 + 2*w^2 + 2*w - 7]', '[334, 334, w^2 - w - 8]', '[334, 334, -w^3 + w^2 + 2*w + 2]', '[337, 337, -4*w^3 + 6*w^2 + 19*w - 3]', '[342, 114, -w^3 + 5*w]', '[342, 114, -2*w^3 + 2*w^2 + 11*w]', '[344, 86, 3*w^3 - 5*w^2 - 14*w + 3]', '[344, 344, w^3 - 7*w - 2]', '[346, 346, w^3 - 2*w^2 - 6*w + 6]', '[347, 347, w^3 - 3*w^2 - 5*w + 1]', '[347, 347, -2*w^3 + 2*w^2 + 9*w - 3]', '[347, 347, 3*w^3 - 6*w^2 - 12*w + 11]', '[347, 347, w - 5]', '[349, 349, -w^3 + 5*w^2 - 3*w - 5]', '[349, 349, 2*w^3 - w^2 - 13*w - 11]', '[353, 353, w^3 - 2*w^2 - 4*w - 3]', '[353, 353, 2*w^2 - 6*w - 5]', '[359, 359, -2*w^3 + 3*w^2 + 6*w + 1]', '[360, 30, w^3 - 3*w^2 - 2*w - 1]', '[360, 30, -w^3 + 3*w^2 + 2*w - 9]', '[360, 120, w^3 - 5*w - 6]', '[360, 120, 2*w^3 - 5*w^2 - 2*w]', '[361, 361, w^2 - 3*w + 3]', '[362, 362, 2*w^2 - 3*w]', '[365, 365, -w^3 + 3*w^2 + 5*w - 7]', '[365, 365, -2*w^3 + 2*w^2 + 9*w + 1]', '[367, 367, 2*w^3 - 2*w^2 - 8*w + 1]', '[367, 367, w^2 - 7]', '[368, 46, 2*w^2 - 4*w - 2]', '[368, 368, -w^3 + 4*w^2 - 3*w - 2]', '[370, 370, 2*w^3 - 3*w^2 - 7*w + 8]', '[373, 373, w^3 + w^2 - 7*w - 11]', '[373, 373, -2*w^3 + 2*w^2 + 12*w - 1]', '[373, 373, -2*w^3 + 15*w + 13]', '[373, 373, -3*w^3 + 3*w^2 + 15*w + 7]', '[376, 94, w^3 - 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8]', '[1692, 564, -4*w^3 + 6*w^2 + 17*w - 6]', '[1692, 564, -3*w^3 + 2*w^2 + 16*w + 4]', '[1696, 212, -4*w^3 + 2*w^2 + 24*w + 12]', '[1696, 1696, -3*w^3 + 2*w^2 + 20*w + 8]', '[1702, 1702, -3*w^3 + 4*w^2 + 19*w + 4]', '[1706, 1706, w^3 + w^2 - w - 4]', '[1706, 1706, 7*w^3 - 11*w^2 - 35*w + 8]', '[1709, 1709, -w^3 + 4*w^2 + 3*w - 7]', '[1710, 570, 5*w^3 - 11*w^2 - 13*w + 4]', '[1710, 570, 2*w^3 - 3*w^2 - 13*w + 4]', '[1711, 1711, -w^3 + 10*w + 3]', '[1711, 1711, w^3 + 2*w^2 - 6*w - 9]', '[1712, 214, 4*w^3 - 8*w^2 - 12*w + 2]', '[1712, 1712, 5*w^3 - 6*w^2 - 25*w + 2]', '[1714, 1714, -5*w + 4]', '[1720, 430, -5*w^3 + 9*w^2 + 20*w - 9]', '[1720, 1720, -w^2 + 6*w]', '[1721, 1721, -3*w^3 + 4*w^2 + 14*w - 9]', '[1723, 1723, -w^3 - w^2 + 13*w + 11]', '[1723, 1723, 3*w^3 - 2*w^2 - 20*w - 7]', '[1724, 1724, -5*w^3 + 7*w^2 + 23*w - 6]', '[1724, 1724, w^3 - 3*w^2 - 5*w + 10]', '[1726, 1726, w^3 - w^2 - 9*w]', '[1730, 1730, -2*w^3 + 2*w^2 + 13*w - 8]', '[1732, 1732, w^2 + 6*w - 4]', '[1733, 1733, 3*w^3 - 4*w^2 - 16*w - 5]', '[1735, 1735, 2*w^3 - 5*w^2 - 14*w + 7]', '[1735, 1735, w^2 - 6*w + 5]', '[1735, 1735, -4*w^3 + 4*w^2 + 19*w + 1]', '[1735, 1735, -6*w^3 + 12*w^2 + 26*w - 17]', '[1739, 1739, -4*w^3 + 5*w^2 + 19*w - 1]', '[1739, 1739, 4*w^3 - 12*w^2 - 6*w + 7]', '[1745, 1745, -w^3 + 4*w + 7]', '[1745, 1745, -4*w^3 + 2*w^2 + 27*w + 15]', '[1746, 582, -w^3 + 4*w^2 - 5*w]', '[1746, 582, 2*w^3 - 3*w^2 - 13*w]', '[1748, 1748, -2*w^3 + 4*w^2 + 11*w - 10]', '[1754, 1754, -w^3 + 4*w^2 + 3*w - 8]', '[1754, 1754, 3*w^2 - 4*w - 2]', '[1759, 1759, w - 7]', '[1762, 1762, w^3 - 5*w^2 - 6*w + 2]', '[1765, 1765, -2*w^3 + 4*w^2 + 2*w + 1]', '[1765, 1765, -6*w^3 + 3*w^2 + 37*w + 21]', '[1772, 1772, -11*w^3 + 19*w^2 + 51*w - 30]', '[1772, 1772, -9*w^3 + 17*w^2 + 39*w - 30]', '[1773, 591, 3*w^3 - 4*w^2 - 18*w + 5]', '[1773, 591, 4*w^3 - 5*w^2 - 21*w - 5]', '[1774, 1774, 3*w^3 - 6*w^2 - 11*w]', '[1777, 1777, 4*w^3 - 9*w^2 - 16*w + 17]', '[1777, 1777, 2*w^3 - w^2 - 14*w - 1]', '[1786, 1786, 2*w^2 - 7*w - 4]', '[1786, 1786, w^2 - w + 4]', '[1791, 597, -3*w^3 + 7*w^2 + 9*w - 11]', '[1791, 597, -5*w^3 + 10*w^2 + 24*w - 17]', '[1795, 1795, 2*w^3 - 7*w^2 + 4*w + 1]', '[1800, 150, 3*w^3 - 7*w^2 - 12*w + 11]', '[1800, 150, -w^3 - w^2 + 6*w + 11]', '[1800, 600, w^2 + 4]', '[1800, 600, -w^2 + w + 10]', '[1801, 1801, -3*w^3 + 6*w^2 + 10*w - 9]', '[1805, 1805, w^3 + 2*w^2 - 7*w - 11]', '[1808, 226, 4*w^2 - 8*w - 14]', '[1808, 226, 2*w^3 - 2*w^2 - 14*w + 2]', '[1808, 1808, 4*w^3 - 5*w^2 - 17*w - 10]', '[1808, 1808, 2*w^3 - w^2 - 16*w + 4]', '[1810, 1810, -3*w^3 + 5*w^2 + 17*w - 4]', '[1816, 454, 13*w^3 - 15*w^2 - 70*w - 9]', '[1816, 454, 3*w^3 - w^2 - 22*w - 13]', '[1816, 1816, 9*w^3 - 7*w^2 - 54*w - 24]', '[1816, 1816, 5*w^3 - 4*w^2 - 25*w - 14]', '[1817, 1817, -2*w^3 - 3*w^2 + 20*w + 23]', '[1818, 606, w^2 - 6*w - 14]', '[1818, 606, -w^3 + w^2 + 4*w - 6]', '[1825, 1825, 2*w^3 - 5*w^2 - 10*w + 3]', '[1825, 1825, -2*w^3 + 2*w^2 + 8*w + 7]', '[1832, 458, 7*w^3 - 7*w^2 - 38*w - 9]', '[1832, 1832, 5*w^3 - 4*w^2 - 32*w - 16]', '[1835, 1835, -2*w^3 + 6*w^2 + 11*w - 5]', '[1835, 1835, w^3 - w^2 - 7*w + 7]', '[1838, 1838, 3*w^2 - 4*w - 10]', '[1838, 1838, -3*w^3 + 4*w^2 + 16*w + 6]', '[1840, 230, -4*w^3 + 4*w^2 + 24*w + 6]', '[1840, 1840, -4*w^3 + 4*w^2 + 23*w + 2]', '[1843, 1843, 3*w^2 - 3*w - 7]', '[1847, 1847, w^2 + w - 9]', '[1849, 1849, 3*w^3 - 6*w^2 - 7*w - 3]', '[1850, 1850, w^3 - w^2 - 7*w - 8]', '[1854, 618, -w^3 + 5*w^2 + 3*w - 16]', '[1854, 618, -7*w^3 + 14*w^2 + 32*w - 22]', '[1856, 116, 5*w^3 - 7*w^2 - 24*w + 3]', '[1856, 116, 3*w^3 - 9*w^2 - 4*w + 9]', '[1856, 232, 2*w^3 - 6*w^2 - 8*w + 16]', '[1856, 232, 2*w^3 - 2*w^2 - 14*w - 4]', '[1856, 1856, -w^2 + 5*w + 10]', '[1856, 1856, 2*w^3 - w^2 - 13*w - 2]', '[1863, 69, 3*w^2 - 6*w - 3]', '[1863, 207, 6*w^3 - 8*w^2 - 30*w + 1]', '[1863, 207, 2*w^3 - 5*w^2 - 11*w + 3]', '[1864, 466, 5*w^3 - 5*w^2 - 30*w - 1]', '[1864, 466, w^3 + 5*w^2 - 14*w - 33]', '[1864, 1864, 5*w^3 - w^2 - 32*w - 28]', '[1864, 1864, 5*w^3 - 7*w^2 - 23*w - 6]', '[1865, 1865, w^3 - 2*w^2 - 3*w + 9]', '[1865, 1865, 3*w^2 - 4*w - 9]', '[1865, 1865, -2*w^3 + 2*w^2 + 15*w - 5]', '[1865, 1865, 3*w^3 - 6*w^2 - 11*w - 1]', '[1871, 1871, 3*w^3 - 2*w^2 - 14*w - 1]', '[1871, 1871, -4*w^3 + 6*w^2 + 19*w + 1]', '[1874, 1874, w^2 - 5*w - 8]', '[1877, 1877, -4*w^3 + 7*w^2 + 19*w - 5]', '[1879, 1879, 3*w^2 - 4*w - 1]', '[1880, 470, 3*w^3 - w^2 - 18*w - 9]', '[1880, 470, -5*w^3 + 3*w^2 + 28*w + 19]', '[1880, 1880, -4*w^3 + 4*w^2 + 21*w + 14]', '[1880, 1880, 2*w^3 - w^2 - 15*w - 6]', '[1888, 236, -2*w^2 - 6*w]', '[1888, 1888, w^3 + w^2 - 6*w]', '[1889, 1889, 3*w^3 - 4*w^2 - 10*w - 5]', '[1894, 1894, 2*w^3 - w^2 - 12*w - 2]', '[1895, 1895, -w^3 + 2*w^2 + 4*w + 5]', '[1899, 633, -4*w^3 + 7*w^2 + 20*w - 5]', '[1899, 633, -5*w^3 + 11*w^2 + 17*w - 9]', '[1900, 1900, -3*w^2 + 8*w]', '[1908, 636, -2*w^3 + 5*w^2 + 8*w]', '[1908, 636, -4*w^3 + 5*w^2 + 23*w + 2]', '[1912, 478, -5*w^3 + 11*w^2 + 14*w + 1]', '[1912, 478, w^3 - 5*w^2 + 6*w + 9]', '[1912, 1912, w^3 - 4*w^2 + 16]', '[1912, 1912, -5*w^3 + 7*w^2 + 26*w]', '[1913, 1913, 2*w^3 - 7*w^2 - 5*w + 21]', '[1916, 1916, -6*w^3 + 14*w^2 + 25*w - 30]', '[1916, 1916, 2*w^2 - 5*w - 10]', '[1919, 1919, 4*w^3 - 2*w^2 - 20*w - 9]', '[1926, 642, w^2 - 6*w - 2]', '[1926, 642, 2*w^3 - w^2 - 15*w - 4]', '[1931, 1931, 5*w^3 - 6*w^2 - 27*w + 1]', '[1933, 1933, 2*w^3 - 8*w^2 + 3*w + 5]', '[1933, 1933, -2*w^2 + 7*w + 3]', '[1934, 1934, 5*w^2 + 4*w - 6]', '[1935, 645, -5*w^3 + 8*w^2 + 26*w - 9]', '[1935, 645, -2*w^3 + 4*w^2 + 13*w - 5]', '[1940, 1940, -3*w^3 + 6*w^2 + 16*w - 4]', '[1942, 1942, 2*w^3 + 2*w^2 - 17*w - 20]', '[1942, 1942, 3*w^2 - w - 8]', '[1948, 1948, w^3 + w^2 - 7*w - 2]', '[1948, 1948, 4*w^3 - 7*w^2 - 18*w + 4]', '[1951, 1951, 3*w^2 - 3*w - 11]', '[1954, 1954, -4*w^3 + 5*w^2 + 19*w + 4]', '[1957, 1957, 3*w^3 - 5*w^2 - 17*w + 5]', '[1961, 1961, w^2 - 6*w - 1]', '[1964, 1964, -6*w^3 + 9*w^2 + 30*w - 4]', '[1964, 1964, -5*w^3 + 8*w^2 + 26*w - 8]', '[1966, 1966, w^2 + 2*w - 6]', '[1970, 1970, -6*w^3 + 11*w^2 + 27*w - 12]', '[1973, 1973, -4*w^3 + 5*w^2 + 18*w - 3]', '[1975, 1975, w^3 + w^2 - 9*w - 3]', '[1978, 1978, -3*w^2 + 2*w + 10]', '[1982, 1982, 3*w^3 - 2*w^2 - 6*w + 2]', '[1982, 1982, 3*w^3 - 5*w^2 - 8*w + 6]', '[1985, 1985, 3*w^3 - 6*w^2 - 15*w + 13]', '[1985, 1985, 3*w^2 - 11*w + 3]', '[1990, 1990, 3*w^3 - 5*w^2 - 15*w + 12]', '[1999, 1999, -5*w^3 + 11*w^2 + 9*w - 3]', '[1999, 1999, -2*w - 7]', '[2000, 10, -4*w^3 + 10*w^2 + 14*w - 22]', '[2000, 80, w^3 - 6*w - 12]', '[2000, 250, 2*w^3 - 2*w^2 - 10*w - 10]', '[2000, 2000, -2*w^3 + 3*w^2 + 5*w - 6]', '[2003, 2003, -w^2 + 3*w - 5]', '[2003, 2003, 7*w^3 - 10*w^2 - 36*w + 3]', '[2005, 2005, 4*w^3 - 9*w^2 - 16*w + 11]', '[2008, 502, w^3 - w^2 - 2*w - 5]', '[2008, 2008, -w^3 + 6*w^2 + 4*w - 16]', '[2011, 2011, -7*w^3 + 8*w^2 + 38*w + 3]', '[2011, 2011, 3*w^3 - 5*w^2 - 9*w + 3]', '[2012, 2012, 13*w^3 - 22*w^2 - 63*w + 26]', '[2012, 2012, 11*w^3 - 21*w^2 - 51*w + 30]', '[2014, 2014, -w^3 - 2*w^2 + 9*w + 12]', '[2017, 2017, -w^3 + 6*w^2 - 3*w - 19]', '[2018, 2018, 2*w^3 - 7*w^2 - 11*w + 8]', '[2020, 2020, 2*w^3 - 3*w^2 - 3*w + 14]', '[2021, 2021, -w^3 + 2*w^2 + 4*w - 9]', '[2021, 2021, -2*w^3 + w^2 + 15*w + 5]', '[2025, 75, 3*w^3 - 6*w^2 - 12*w + 15]', '[2025, 225, w^3 - 5*w^2 + w + 13]', '[2025, 225, 2*w^3 - 4*w^2 - 3*w + 5]', '[2027, 2027, 3*w^3 - 4*w^2 - 14*w - 9]', '[2029, 2029, -w^3 + 3]', '[2033, 2033, -2*w^3 + 4*w^2 + 5*w - 13]', '[2034, 678, 5*w^3 - 13*w^2 - 6*w + 2]', '[2034, 678, 2*w^3 - w^2 - 10*w - 10]', '[2034, 678, 5*w^3 - 7*w^2 - 24*w + 2]', '[2034, 678, 7*w^3 - 11*w^2 - 35*w + 16]', '[2036, 2036, w^3 + 2*w^2 - 8*w - 12]', '[2036, 2036, 5*w^3 - 8*w^2 - 22*w + 8]', '[2038, 2038, w^2 - 2*w - 10]', '[2038, 2038, 2*w^3 - w^2 - 9*w - 8]', '[2039, 2039, w^3 + 2*w^2 - 9*w - 11]', '[2039, 2039, -2*w^2 + 5*w + 13]', '[2043, 681, 5*w^3 - 7*w^2 - 27*w + 5]', '[2043, 681, 10*w^3 - 11*w^2 - 56*w - 11]', '[2043, 681, 4*w^3 - 2*w^2 - 20*w - 11]', '[2043, 681, 4*w^3 - 8*w^2 - 9*w + 1]', '[2048, 8, -4*w^3 + 4*w^2 + 24*w + 4]', '[2048, 32, -4*w^3 + 4*w^2 + 20*w + 8]', '[2048, 256, -4*w^3 + 6*w^2 + 18*w + 4]', '[2048, 2048, -w^3 + 2*w^2 + 9*w - 2]', '[2056, 514, -9*w^3 + 7*w^2 + 52*w + 23]', '[2056, 514, -w^3 + 5*w^2 + 2*w - 5]', '[2056, 2056, -8*w^3 + 5*w^2 + 51*w + 30]', '[2056, 2056, -9*w^3 + 18*w^2 + 42*w - 28]', '[2060, 2060, -2*w^2 + 3*w + 14]', '[2061, 687, 5*w^3 - 6*w^2 - 31*w - 9]', '[2061, 687, 2*w^3 - 3*w^2 - 13*w + 1]', '[2062, 2062, 3*w^3 - 8*w^2 - 15*w + 8]', '[2069, 2069, -3*w^3 + 6*w^2 + 13*w - 15]', '[2070, 690, -7*w^3 + 10*w^2 + 35*w - 8]', '[2070, 690, -3*w^3 + 5*w^2 + 10*w - 2]', '[2083, 2083, 4*w - 5]', '[2083, 2083, 2*w^3 - w^2 - 11*w - 1]', '[2084, 2084, 8*w^3 - 11*w^2 - 42*w + 4]', '[2088, 174, 3*w^3 - 5*w^2 - 18*w + 1]', '[2088, 174, w^3 - w^2 - 10*w + 3]', '[2088, 174, -w^3 + w^2 + 4*w + 9]', '[2088, 174, -w^3 + 3*w^2 + 2*w + 3]', '[2088, 696, -2*w^3 + 5*w^2 + w + 2]', '[2088, 696, 3*w^3 - 5*w^2 - 10*w + 8]', '[2088, 696, 4*w^3 - 5*w^2 - 20*w + 4]', '[2088, 696, 3*w^3 - 5*w^2 - 7*w + 2]', '[2089, 2089, 8*w^3 - 9*w^2 - 42*w - 11]', '[2089, 2089, 4*w^3 - 6*w^2 - 22*w + 7]', '[2095, 2095, 2*w^3 - 6*w^2 - 8*w + 7]', '[2095, 2095, 4*w^3 - w^2 - 25*w - 23]', '[2097, 699, 7*w^3 - 16*w^2 - 19*w + 9]', '[2097, 699, 5*w^3 - 7*w^2 - 25*w - 1]', '[2097, 699, 2*w^3 + 3*w^2 - 16*w - 27]', '[2097, 699, -w^3 + 3*w^2 + 5*w - 11]', '[2098, 2098, -3*w^3 + 8*w^2 + 11*w - 8]', '[2099, 2099, -w^3 + 5*w^2 - w - 17]', '[2102, 2102, -4*w^3 + 5*w^2 + 12*w - 6]', '[2105, 2105, w^3 - 4*w^2 - 6*w + 9]', '[2105, 2105, -5*w^3 + 3*w^2 + 33*w + 19]', '[2105, 2105, 2*w^3 - 4*w^2 - 5*w + 7]', '[2105, 2105, -5*w^3 + 7*w^2 + 25*w - 7]', '[2110, 2110, 5*w^3 - 9*w^2 - 26*w + 10]', '[2111, 2111, 5*w^3 - 7*w^2 - 23*w - 3]', '[2113, 2113, -2*w^3 + 6*w^2 + 5*w - 7]', '[2113, 2113, -2*w^3 + 4*w^2 + 11*w - 11]', '[2115, 705, 3*w^3 - 4*w^2 - 18*w - 1]', '[2115, 705, 2*w^3 - 6*w^2 - 7*w + 1]', '[2115, 705, -2*w^3 + w^2 + 13*w + 13]', '[2115, 705, 2*w^3 - 6*w^2 + 2*w + 7]', '[2116, 2116, 2*w^3 - 5*w^2 - 4*w + 8]', '[2117, 2117, 4*w^3 - 4*w^2 - 24*w - 5]', '[2117, 2117, 2*w^3 - 3*w^2 - 14*w + 9]', '[2117, 2117, -w^3 - 3*w^2 + w + 7]', '[2117, 2117, 6*w^3 - 3*w^2 - 35*w - 19]', '[2120, 530, 3*w^3 - 7*w^2 - 10*w - 1]', '[2120, 2120, 5*w^3 - 8*w^2 - 26*w + 4]', '[2124, 708, 3*w^3 - w^2 - 11*w - 2]', '[2124, 708, w^3 - 11*w - 6]', '[2131, 2131, -2*w^3 + 3*w^2 + 10*w + 7]', '[2131, 2131, -3*w^3 + 8*w^2 + 11*w - 19]', '[2140, 2140, -2*w^3 + 5*w^2 + 9*w - 2]', '[2141, 2141, 4*w^3 - 2*w^2 - 27*w - 13]', '[2141, 2141, 4*w^2 - 5*w - 5]', '[2143, 2143, 3*w^3 - 3*w^2 - 19*w - 5]', '[2146, 2146, -5*w^3 + 5*w^2 + 27*w + 4]', '[2146, 2146, -4*w^3 + 6*w^2 + 19*w - 12]', '[2147, 2147, 4*w^3 - 6*w^2 - 18*w - 7]', '[2147, 2147, -4*w^3 + 9*w^2 + 12*w - 11]', '[2150, 2150, 3*w^3 - 4*w^2 - 12*w - 2]', '[2151, 717, -2*w^3 - 2*w^2 + 18*w + 13]', '[2151, 717, -4*w^3 + 8*w^2 + 11*w - 1]', '[2151, 717, -4*w^3 + 3*w^2 + 20*w + 13]', '[2151, 717, w^3 - 5*w^2 + w + 7]', '[2152, 538, -3*w^3 - 3*w^2 + 26*w + 31]', '[2152, 2152, -7*w^3 + 5*w^2 + 40*w + 28]', '[2155, 2155, -6*w + 1]', '[2155, 2155, w^3 + 2*w^2 - 11*w - 17]', '[2162, 2162, -4*w^3 + 7*w^2 + 12*w + 2]', '[2162, 2162, -w^3 + 5*w^2 - 6]', '[2164, 2164, -2*w^3 + 3*w^2 + 13*w - 2]', '[2164, 2164, 4*w^3 - 7*w^2 - 15*w + 6]', '[2165, 2165, 4*w^3 - 6*w^2 - 21*w + 13]', '[2168, 542, 3*w^3 - 5*w^2 - 14*w - 5]', '[2168, 2168, 7*w^3 - 10*w^2 - 37*w + 2]', '[2174, 2174, -3*w^3 + 6*w^2 + 12*w - 2]', '[2179, 2179, 2*w^3 - 14*w - 17]', '[2179, 2179, -2*w^3 + 6*w^2 + 8*w - 13]', '[2183, 2183, -5*w^3 + 6*w^2 + 26*w + 7]', '[2185, 2185, w^3 - 4*w^2 + 13]', '[2188, 2188, 4*w^2 - 5*w - 18]', '[2192, 274, -2*w^2 + 8*w + 6]', '[2192, 274, -2*w^3 + 6*w^2 + 6*w - 14]', '[2192, 2192, w^3 - 6*w^2 + 5*w + 6]', '[2192, 2192, -4*w^3 + 9*w^2 + 14*w - 16]', '[2204, 2204, -6*w^3 + 9*w^2 + 28*w - 8]', '[2204, 2204, -w^3 + 3*w^2 - 8]', '[2206, 2206, 3*w^2 - 3*w - 8]', '[2209, 47, -3*w^3 + 10*w^2 - 2*w - 7]', '[2209, 47, 9*w^3 - 11*w^2 - 47*w - 5]', '[2209, 2209, 3*w^3 - 21*w - 23]', '[2209, 2209, w^3 + 2*w^2 - 8*w - 17]', '[2213, 2213, 8*w^3 - 8*w^2 - 44*w - 13]', '[2213, 2213, 5*w^3 - 7*w^2 - 27*w + 3]', '[2215, 2215, 6*w^3 - 14*w^2 - 20*w + 13]', '[2215, 2215, 2*w^3 - 4*w^2 - 12*w + 9]', '[2216, 554, -3*w^3 + 5*w^2 + 14*w + 1]', '[2216, 554, -w^3 + w^2 + 3]', '[2216, 2216, -4*w^3 + 7*w^2 + 15*w - 2]', '[2216, 2216, 2*w^3 - 3*w^2 + 4]', '[2218, 2218, 8*w^3 - 12*w^2 - 39*w + 12]', '[2218, 2218, 2*w^3 - 4*w^2 - 13*w + 4]', '[2224, 278, -6*w - 2]', '[2224, 2224, 3*w^2 - 5*w - 2]', '[2228, 2228, w^3 - 9*w + 6]', '[2231, 2231, 2*w^3 - 6*w^2 - 2*w + 9]', '[2237, 2237, -3*w^3 + 3*w^2 + 13*w + 1]', '[2242, 2242, -2*w^3 + 2*w^2 + 3*w - 4]', '[2246, 2246, 3*w^3 - 6*w^2 - 9*w + 8]', '[2248, 562, 3*w^3 - w^2 - 22*w - 9]', '[2248, 562, w^3 + 3*w^2 - 12*w - 21]', '[2248, 2248, 5*w^3 - 6*w^2 - 23*w - 10]', '[2248, 2248, 4*w^3 - 2*w^2 - 23*w - 18]', '[2250, 30, -w^3 + 11*w - 8]', '[2250, 30, -2*w^3 + 5*w^2 + 7*w - 16]', '[2250, 750, -w^3 + 3*w^2 + 5*w - 12]', '[2250, 750, 3*w^3 + w^2 - 22*w - 22]', '[2252, 2252, -11*w^3 + 21*w^2 + 50*w - 36]', '[2259, 753, 2*w^2 - 5*w - 11]', '[2259, 753, -w^3 + w^2 - w - 5]', '[2260, 2260, -5*w^3 + 8*w^2 + 22*w]', '[2260, 2260, -3*w^2 + 3*w + 10]', '[2270, 2270, -3*w^3 + 15*w + 8]', '[2270, 2270, -11*w^3 + 15*w^2 + 58*w - 2]', '[2273, 2273, 6*w^3 - 7*w^2 - 32*w - 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7*w^2 - 4*w + 7]', '[5288, 5288, 2*w^3 - 11*w - 2]', '[5288, 5288, 5*w^3 - 14*w^2 - 9*w + 10]', '[5290, 5290, w^3 + 2*w^2 - 9*w - 4]', '[5296, 662, -4*w^3 + 6*w^2 + 16*w - 2]', '[5296, 5296, -5*w^3 + 10*w^2 + 19*w - 6]', '[5297, 5297, 5*w^3 - 2*w^2 - 32*w - 17]', '[5297, 5297, w^3 - w^2 - 11*w - 3]', '[5297, 5297, -7*w^3 + 8*w^2 + 34*w - 1]', '[5297, 5297, -3*w^3 + 2*w^2 + 21*w + 7]', '[5300, 5300, -w^3 - 3*w^2 + 5*w + 14]', '[5303, 5303, -3*w^3 + 11*w^2 - w - 5]', '[5308, 5308, -2*w^3 + 4*w^2 + w - 6]', '[5309, 5309, 6*w^3 - 5*w^2 - 33*w - 9]', '[5310, 1770, -2*w^3 + 2*w^2 + 7*w + 8]', '[5310, 1770, 2*w^3 - 3*w^2 - 4*w + 10]', '[5311, 5311, w^3 + 4*w^2 - 15*w - 21]', '[5311, 5311, 6*w^3 - 7*w^2 - 33*w + 1]', '[5311, 5311, 6*w^3 - 9*w^2 - 29*w + 1]', '[5311, 5311, -4*w^2 + 2*w + 13]', '[5318, 5318, -4*w^3 + 9*w^2 + 15*w - 24]', '[5323, 5323, -4*w^3 + 6*w^2 + 16*w - 1]', '[5323, 5323, w^3 + 4*w^2 - 14*w - 19]', '[5328, 222, -4*w^3 + 8*w^2 + 12*w - 10]', '[5328, 222, -2*w^3 + 4*w^2 + 4*w - 14]', '[5328, 1776, -3*w^3 + 8*w^2 + 12*w - 16]', '[5328, 1776, 2*w^3 - 3*w^2 - w - 2]', '[5329, 73, w^3 + w^2 - 13*w - 7]', '[5329, 73, -5*w^3 + 8*w^2 + 27*w - 9]', '[5329, 5329, 5*w^2 - 8*w - 19]', '[5329, 5329, -2*w^3 + 5*w^2 + 4*w - 11]', '[5333, 5333, -4*w^3 + 8*w^2 + 17*w - 5]', '[5333, 5333, 6*w^3 - 5*w^2 - 36*w - 9]', '[5336, 1334, w^3 + 3*w^2 - 14*w - 17]', '[5336, 1334, -3*w^3 + 7*w^2 + 12*w - 3]', '[5336, 5336, -5*w^3 + 10*w^2 + 15*w - 6]', '[5336, 5336, -w^3 + 3*w - 6]', '[5337, 1779, 2*w^3 - 6*w^2 - w - 3]', '[5337, 1779, 4*w^2 - 10*w - 13]', '[5337, 1779, 5*w^2 - 14*w - 5]', '[5337, 1779, 8*w^3 - 6*w^2 - 49*w - 21]', '[5339, 5339, 5*w^3 - 11*w^2 - 15*w + 3]', '[5339, 5339, w - 9]', '[5344, 668, 2*w^2 - 2*w - 16]', '[5344, 668, -2*w^3 + 2*w^2 + 4*w + 4]', '[5344, 5344, w^3 + 3*w^2 - 11*w - 14]', '[5344, 5344, -2*w^3 + 6*w^2 + 3*w + 2]', '[5347, 5347, -7*w^3 + 7*w^2 + 39*w + 7]', '[5350, 5350, -3*w^3 + 8*w^2 + 10*w - 10]', '[5353, 5353, 4*w^3 - 9*w^2 - 17*w + 25]', '[5354, 5354, w^3 - 5*w^2 + 2*w - 2]', '[5354, 5354, 3*w^3 - 7*w^2 - 13*w + 4]', '[5359, 5359, -4*w^2 + 5*w + 15]', '[5359, 5359, 2*w^3 - 9*w^2 + 8*w + 5]', '[5365, 5365, -3*w^3 + 8*w^2 + 10*w - 25]', '[5365, 5365, -4*w^3 + 5*w^2 + 14*w - 5]', '[5366, 5366, 5*w^2 - 6*w - 6]', '[5366, 5366, 2*w^3 + w^2 - 17*w - 8]', '[5374, 5374, -w^3 - 2*w^2 + 6*w + 14]', '[5374, 5374, 6*w^3 - 7*w^2 - 33*w - 8]', '[5375, 215, -w^3 + 5*w^2 + w - 13]', '[5375, 5375, 2*w^3 - 6*w^2 - 2*w + 11]', '[5378, 5378, 2*w^3 - 2*w^2 - 9*w + 8]', '[5380, 5380, 7*w^3 - 2*w^2 - 49*w - 26]', '[5381, 5381, 6*w^3 - 7*w^2 - 31*w + 1]', '[5384, 1346, -3*w^3 + 3*w^2 + 20*w - 1]', '[5384, 5384, -4*w^3 + 6*w^2 + 15*w + 2]', '[5386, 5386, w^2 - 3*w - 12]', '[5387, 5387, w^3 - 6*w^2 + 5*w + 3]', '[5392, 674, -8*w^3 + 12*w^2 + 38*w - 6]', '[5392, 5392, -10*w^3 + 17*w^2 + 45*w - 14]', '[5393, 5393, -2*w^3 + 6*w^2 + 4*w - 17]', '[5393, 5393, 2*w^3 - 2*w^2 - 15*w + 1]', '[5402, 5402, w^3 - 7*w^2 - 9*w + 12]', '[5402, 5402, -5*w^3 + 3*w^2 + 33*w + 16]', '[5405, 5405, -3*w^3 + 10*w^2 - w - 11]', '[5405, 5405, -4*w^3 + 9*w^2 + 13*w - 3]', '[5407, 5407, 2*w^3 + 2*w^2 - 16*w - 17]', '[5409, 1803, -7*w^3 + 20*w^2 + 9*w - 13]', '[5409, 1803, w^3 + 3*w^2 - 11*w - 15]', '[5409, 1803, 4*w^3 - 12*w^2 + w - 1]', '[5409, 1803, 2*w^2 - 13]', '[5410, 5410, 2*w^2 - w + 4]', '[5410, 5410, -3*w^3 + 6*w^2 + 16*w - 14]', '[5414, 5414, 5*w^3 - 6*w^2 - 27*w - 8]', '[5414, 5414, -4*w^3 + 13*w^2 + 14*w - 10]', '[5419, 5419, -6*w^3 + 5*w^2 + 32*w + 11]', '[5420, 5420, -2*w^3 - 3*w^2 + 13*w + 22]', '[5428, 5428, -5*w^3 + 6*w^2 + 23*w - 2]', '[5431, 5431, 2*w^3 + w^2 - 13*w - 19]', '[5431, 5431, 5*w^3 - 6*w^2 - 29*w - 3]', '[5435, 5435, -4*w^3 + 10*w^2 + 12*w - 13]', '[5436, 1812, 3*w^3 - 2*w^2 - 15*w - 14]', '[5436, 1812, -w^3 + 3*w^2 - w - 14]', '[5437, 5437, 7*w^3 - 7*w^2 - 41*w - 15]', '[5441, 5441, w^3 - 2*w^2 - 8*w + 11]', '[5441, 5441, -3*w^3 + 2*w^2 + 14*w - 5]', '[5443, 5443, -2*w^3 + 12*w + 3]', '[5443, 5443, -6*w^3 + 11*w^2 + 23*w - 9]', '[5443, 5443, w^3 + 2*w^2 - 12*w - 19]', '[5443, 5443, w^3 - 3*w^2 - w - 5]', '[5444, 5444, 4*w^2 - 5*w - 2]', '[5449, 5449, 3*w^3 - 6*w^2 - 14*w + 1]', '[5449, 5449, 5*w^3 - 8*w^2 - 17*w + 11]', '[5452, 5452, 4*w^3 - 7*w^2 - 13*w + 2]', '[5452, 5452, -7*w^3 + 2*w^2 + 48*w + 36]', '[5452, 5452, 3*w^3 - 8*w^2 - 11*w + 10]', '[5452, 5452, 6*w^3 - 6*w^2 - 35*w - 14]', '[5459, 5459, -w^3 + 5*w^2 + w - 9]', '[5462, 5462, 8*w^3 - 7*w^2 - 46*w - 14]', '[5463, 1821, 5*w^3 - 4*w^2 - 25*w - 7]', '[5463, 1821, 4*w^3 - 7*w^2 - 13*w + 3]', '[5464, 1366, w^3 + 3*w^2 - 10*w - 17]', '[5464, 5464, 3*w^3 - 3*w^2 - 19*w - 14]', '[5470, 5470, -5*w^3 + 4*w^2 + 32*w + 14]', '[5472, 228, -2*w^3 + 10*w]', '[5472, 228, -4*w^3 + 4*w^2 + 22*w]', '[5472, 1824, -w^3 + w^2 + 11*w - 2]', '[5472, 1824, -3*w^3 + 5*w^2 + 16*w + 4]', '[5476, 5476, 3*w^3 - 9*w^2 - 8*w + 8]', '[5479, 5479, 3*w^3 + w^2 - 23*w - 29]', '[5479, 5479, 4*w^3 - 10*w^2 - 17*w + 9]', '[5480, 1370, -9*w^3 + 15*w^2 + 42*w - 13]', '[5480, 1370, 3*w^3 - 5*w^2 - 8*w - 5]', '[5480, 5480, -2*w^3 + 7*w^2 - 5*w - 10]', '[5480, 5480, -3*w^3 + 2*w^2 + 19*w + 2]', '[5482, 5482, -10*w^3 + 17*w^2 + 48*w - 18]', '[5483, 5483, -5*w^3 + 8*w^2 + 21*w - 5]', '[5483, 5483, 4*w^3 - 7*w^2 - 12*w + 9]', '[5483, 5483, -4*w^3 + 9*w^2 + 16*w - 7]', '[5483, 5483, 3*w^3 - 6*w^2 - 6*w + 7]', '[5491, 323, -3*w^3 + 4*w^2 + 19*w + 1]', '[5491, 323, 7*w^3 - 6*w^2 - 42*w - 21]', '[5492, 5492, -13*w^3 + 23*w^2 + 63*w - 30]', '[5497, 5497, 5*w^3 - 4*w^2 - 26*w - 19]', '[5497, 5497, 3*w^3 + 2*w^2 - 27*w - 17]', '[5503, 5503, -4*w^3 - 3*w^2 + 33*w + 37]', '[5504, 172, 6*w^3 - 10*w^2 - 28*w + 6]', '[5504, 688, 2*w^3 - 14*w - 4]', '[5504, 5504, w^3 + w^2 - 13*w - 2]', '[5506, 5506, 3*w^3 - 7*w^2 - 12*w - 2]', '[5510, 5510, -5*w^3 + 8*w^2 + 21*w - 4]', '[5510, 5510, -w^3 + 2*w^2 + w - 12]', '[5515, 5515, -4*w^3 + 7*w^2 + 18*w - 1]', '[5517, 1839, -5*w^3 + 11*w^2 + 11*w - 9]', '[5517, 1839, -2*w^3 + 3*w^2 + 4*w - 9]', '[5519, 5519, 7*w^3 - 7*w^2 - 41*w - 11]', '[5519, 5519, -7*w^2 + 8*w + 37]', '[5521, 5521, 6*w^3 - 7*w^2 - 32*w - 9]', '[5524, 5524, -4*w^3 + 11*w^2 + 19*w - 22]', '[5524, 5524, -w^3 - 3*w^2 + 10*w + 12]', '[5528, 1382, -w^3 + 5*w^2 - 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12*w + 4]', '[5552, 5552, -w^2 + 7*w - 10]', '[5552, 5552, -2*w^2 - w + 10]', '[5554, 5554, 3*w^3 - 6*w^2 - 4*w + 6]', '[5554, 5554, 2*w^3 - 5*w^2 - 10*w + 14]', '[5557, 5557, 4*w^3 - 8*w^2 - 9*w - 3]', '[5557, 5557, -2*w^3 - 2*w^2 + 14*w + 17]', '[5560, 1390, -w^3 + w^2 + 5]', '[5560, 5560, 2*w^3 - 4*w^2 + w + 6]', '[5567, 5567, 4*w^3 - 3*w^2 - 19*w - 13]', '[5570, 5570, 4*w^3 - 7*w^2 - 11*w + 4]', '[5571, 1857, -3*w^3 + 10*w^2 + 2*w - 1]', '[5571, 1857, w^2 + 3*w + 7]', '[5578, 5578, 3*w^3 - 3*w^2 - 21*w - 8]', '[5578, 5578, 5*w^3 - 10*w^2 - 24*w + 10]', '[5581, 5581, -w^3 + 3*w^2 - 5*w - 3]', '[5582, 5582, -w^3 + 6*w - 6]', '[5584, 698, -2*w^3 + 10*w^2 - 6*w - 10]', '[5584, 698, 4*w^3 - 2*w^2 - 26*w - 22]', '[5584, 5584, 7*w^3 - 9*w^2 - 36*w + 4]', '[5584, 5584, 5*w^3 - 32*w - 24]', '[5587, 5587, -w^3 - 6*w^2 + 16*w + 33]', '[5591, 5591, w^2 + 2*w - 11]', '[5591, 5591, -w^3 + 5*w^2 + 3*w - 11]', '[5596, 5596, -3*w^3 + 5*w^2 + 11*w - 14]', '[5598, 1866, -w^3 + w^2 + 5*w - 8]', '[5598, 1866, w^3 + w^2 - 12*w - 14]', '[5598, 1866, 7*w^3 - 6*w^2 - 38*w - 10]', '[5598, 1866, 8*w^3 - 12*w^2 - 37*w + 12]', '[5602, 5602, 4*w^3 - 5*w^2 - 17*w - 4]', '[5605, 5605, -4*w^3 + 6*w^2 + 13*w - 5]', '[5615, 5615, 7*w^3 - 13*w^2 - 27*w + 13]', '[5618, 106, -3*w^3 + 2*w^2 + 14*w - 2]', '[5618, 106, 9*w^3 - 13*w^2 - 44*w + 6]', '[5620, 5620, -5*w^3 + 3*w^2 + 33*w + 14]', '[5620, 5620, -6*w^2 + 13*w + 18]', '[5624, 1406, 3*w^3 - w^2 - 16*w - 5]', '[5624, 5624, 2*w^3 - 2*w^2 - 15*w - 2]', '[5625, 15, -10*w^3 + 15*w^2 + 50*w - 15]', '[5625, 15, -5*w^3 + 10*w^2 + 15*w - 5]', '[5625, 1875, -4*w^3 + 6*w^2 + 20*w + 3]', '[5625, 1875, -8*w^3 + 9*w^2 + 43*w + 11]', '[5626, 5626, -w^2 - 6]', '[5626, 5626, -6*w^3 + 13*w^2 + 16*w - 6]', '[5630, 5630, -8*w^3 + 13*w^2 + 40*w - 10]', '[5634, 1878, -5*w^3 + 6*w^2 + 25*w - 4]', '[5634, 1878, -10*w^3 + 17*w^2 + 44*w - 22]', '[5636, 5636, 7*w^3 - 6*w^2 - 40*w - 12]', '[5636, 5636, -2*w^3 + 7*w^2 + 10*w - 4]', '[5641, 5641, -4*w^3 + 8*w^2 + 15*w + 3]', '[5648, 706, 2*w^3 - 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10]', '[5692, 5692, 5*w^3 - 2*w^2 - 30*w - 16]', '[5702, 5702, -w^3 - 2*w^2 + 12*w + 18]', '[5702, 5702, -2*w^3 + 8*w^2 + w - 8]', '[5706, 1902, -7*w^3 + 9*w^2 + 35*w]', '[5706, 1902, -4*w^2 + 7*w + 4]', '[5708, 5708, -w^3 + 3*w^2 - 16]', '[5710, 5710, -6*w^3 + 10*w^2 + 25*w - 4]', '[5710, 5710, -2*w^3 + 7*w^2 + 10*w - 10]', '[5711, 5711, 2*w^3 - 3*w^2 - 15*w + 5]', '[5713, 5713, 7*w^2 - 9*w - 39]', '[5713, 5713, -9*w^3 + 15*w^2 + 45*w - 17]', '[5716, 5716, -23*w^3 + 37*w^2 + 112*w - 40]', '[5716, 5716, -3*w^3 + w^2 + 17*w + 6]', '[5723, 5723, -5*w^3 + 6*w^2 + 24*w + 1]', '[5725, 5725, -4*w^3 + 12*w^2 + 16*w - 29]', '[5732, 5732, -16*w^3 + 29*w^2 + 72*w - 48]', '[5737, 5737, -3*w^3 + 6*w^2 + 8*w - 9]', '[5738, 5738, 4*w^3 - 6*w^2 - 15*w + 4]', '[5743, 5743, -2*w^3 + 4*w^2 + 4*w - 9]', '[5744, 718, 4*w^2 - 10*w - 2]', '[5744, 5744, -2*w^3 + 9*w^2 - 9*w - 2]', '[5749, 5749, 2*w^3 - 9*w^2 - 3*w + 31]', '[5749, 5749, w^3 - 2*w^2 - 4*w - 7]', '[5750, 230, 4*w^3 - 10*w^2 - 9*w + 12]', '[5750, 5750, 3*w^3 - 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w - 7]', '[233, 233, 2*w - 5]', '[233, 233, 3*w^3 - 4*w^2 - 16*w - 1]', '[239, 239, -2*w^3 + w^2 + 12*w + 11]', '[239, 239, -3*w^3 + 2*w^2 + 19*w + 9]', '[251, 251, 3*w^3 - 2*w^2 - 17*w - 7]', '[257, 257, -w^3 - w^2 + 7*w + 9]', '[257, 257, 3*w^3 - 4*w^2 - 15*w + 3]', '[269, 269, -3*w^3 + 4*w^2 + 14*w + 3]', '[271, 271, 2*w^3 - 14*w - 15]', '[277, 277, w^3 - 2*w^2 - w + 3]', '[277, 277, 2*w^3 - 6*w^2 + w + 5]', '[281, 281, w^3 - 2*w^2 - 3*w - 3]', '[281, 281, -2*w^3 + 3*w^2 + 10*w + 1]', '[289, 17, w^3 + 2*w^2 - 10*w - 17]', '[289, 17, 3*w^3 - 6*w^2 - 13*w + 13]', '[293, 293, 2*w^3 - w^2 - 13*w - 5]', '[311, 311, w^3 - w^2 - 3*w - 3]', '[311, 311, 2*w^3 - 3*w^2 - 11*w - 1]', '[313, 313, -2*w^3 + 4*w^2 + 9*w - 3]', '[317, 317, -3*w^3 + 3*w^2 + 17*w + 7]', '[331, 331, -2*w^3 + 3*w^2 + 8*w - 1]', '[337, 337, -4*w^3 + 6*w^2 + 19*w - 3]', '[347, 347, w^3 - 3*w^2 - 5*w + 1]', '[347, 347, -2*w^3 + 2*w^2 + 9*w - 3]', '[347, 347, 3*w^3 - 6*w^2 - 12*w + 11]', '[347, 347, w - 5]', '[349, 349, -w^3 + 5*w^2 - 3*w - 5]', '[349, 349, 2*w^3 - w^2 - 13*w - 11]', '[353, 353, w^3 - 2*w^2 - 4*w - 3]', '[353, 353, 2*w^2 - 6*w - 5]', '[359, 359, -2*w^3 + 3*w^2 + 6*w + 1]', '[367, 367, 2*w^3 - 2*w^2 - 8*w + 1]', '[367, 367, w^2 - 7]', '[373, 373, w^3 + w^2 - 7*w - 11]', '[373, 373, -2*w^3 + 2*w^2 + 12*w - 1]', '[373, 373, -2*w^3 + 15*w + 13]', '[373, 373, -3*w^3 + 3*w^2 + 15*w + 7]', '[379, 379, -2*w^3 + w^2 + 11*w + 9]', '[397, 397, -w^3 + 3*w^2 + 3*w - 11]', '[397, 397, -w^3 + 9*w - 1]', '[401, 401, -2*w^3 + 4*w^2 + 7*w - 7]', '[419, 419, -w^3 + 2*w^2 + 2*w - 5]', '[419, 419, -2*w^3 + 4*w^2 + 6*w + 3]', '[421, 421, 2*w^2 - 2*w - 7]', '[421, 421, 4*w^3 - 5*w^2 - 22*w - 1]', '[421, 421, w^2 - 3*w - 9]', '[421, 421, 3*w^2 - 5*w - 5]', '[431, 431, w^3 - 4*w^2 + 5]', '[431, 431, -w^3 + 6*w + 1]', '[433, 433, -2*w^3 + 4*w^2 + 10*w - 9]', '[443, 443, -w^3 + 2*w^2 + 4*w - 7]', '[443, 443, -3*w^3 + 6*w^2 + 10*w - 7]', '[479, 479, 2*w^2 - w - 9]', '[479, 479, 2*w^3 - 4*w^2 - 7*w - 3]', '[487, 487, 4*w^3 - 3*w^2 - 24*w - 9]', '[487, 487, -w^3 + 4*w^2 - 3*w - 3]', '[491, 491, -w^3 + 9*w + 3]', '[491, 491, -2*w^3 + 4*w^2 + 8*w - 1]', '[503, 503, 3*w^3 - 5*w^2 - 15*w + 3]', '[503, 503, w^3 - 2*w^2 - 8*w + 5]', '[509, 509, 2*w^3 - 2*w^2 - 8*w - 5]', '[509, 509, 2*w^2 - 4*w - 1]', '[521, 521, 3*w^3 - 4*w^2 - 15*w - 3]', '[541, 541, 3*w^3 - 2*w^2 - 18*w - 7]', '[541, 541, -2*w^3 + 5*w^2 + 6*w - 1]', '[547, 547, 2*w^3 - 2*w^2 - 9*w - 7]', '[557, 557, -2*w^2 + 4*w + 9]', '[563, 563, -2*w^3 + 5*w^2 + 7*w - 9]', '[571, 571, 3*w^3 - 7*w^2 - 7*w - 1]', '[571, 571, -2*w^3 + 5*w^2 + 7*w - 3]', '[577, 577, -3*w^3 + 4*w^2 + 16*w - 9]', '[587, 587, w^2 + w - 5]', '[593, 593, 4*w^3 - 5*w^2 - 20*w - 3]', '[593, 593, 3*w^2 - 5*w - 11]', '[601, 601, -2*w^2 + 6*w + 3]', '[601, 601, 3*w^3 - 6*w^2 - 11*w + 3]', '[607, 607, -w - 5]', '[613, 613, w^3 - 6*w + 1]', '[619, 619, -2*w^3 + 3*w^2 + 6*w - 1]', '[647, 647, -3*w^2 + 6*w + 5]', '[653, 653, 2*w^3 - w^2 - 11*w - 11]', '[661, 661, -2*w^3 + 3*w^2 + 6*w - 5]', '[661, 661, -2*w^3 + 3*w^2 + 12*w + 3]', '[673, 673, w^2 - 2*w + 3]', '[683, 683, 2*w^3 - 2*w^2 - 8*w - 1]', '[691, 691, 2*w^3 - 3*w^2 - 12*w + 1]', '[691, 691, 3*w^3 - 4*w^2 - 14*w - 1]', '[691, 691, -3*w^3 + 6*w^2 + 10*w + 1]', '[691, 691, -2*w^3 + 2*w^2 + 10*w - 3]', '[727, 727, -w^3 - 2*w^2 + 9*w + 15]', '[733, 733, 2*w^3 - 5*w^2 - 3*w + 5]', '[733, 733, 2*w^3 - 2*w^2 - 5*w + 1]', '[761, 761, -w^3 + 3*w^2 + w - 7]', '[769, 769, -2*w^3 + 4*w^2 + 5*w - 5]', '[773, 773, -2*w^3 + 2*w^2 + 13*w + 3]', '[787, 787, -w^3 + 4*w^2 + w - 5]', '[809, 809, 6*w^3 - 9*w^2 - 30*w + 5]', '[809, 809, 2*w^2 - 4*w - 11]', '[809, 809, -3*w^2 + 4*w + 13]', '[809, 809, w^3 - 8*w + 1]', '[811, 811, -5*w^3 + 11*w^2 + 11*w - 1]', '[823, 823, 3*w^3 - 6*w^2 - 7*w + 1]', '[827, 827, 3*w^3 - 20*w - 17]', '[829, 829, 4*w^3 - 4*w^2 - 23*w - 3]', '[839, 839, -w^3 + 6*w + 11]', '[841, 29, 4*w^3 - 4*w^2 - 22*w - 11]', '[853, 853, -w^2 - 3]', '[853, 853, 2*w^3 - w^2 - 11*w - 3]', '[857, 857, 2*w^3 - 2*w^2 - 12*w + 3]', '[863, 863, w^2 - w - 9]', '[877, 877, 4*w^3 - 5*w^2 - 20*w - 1]', '[877, 877, w^3 - w^2 - 3*w - 5]', '[881, 881, -w^3 + 2*w^2 + w - 5]', '[887, 887, -3*w^2 + 6*w + 11]', '[919, 919, -3*w^3 + 22*w + 19]', '[919, 919, 5*w^3 - 5*w^2 - 27*w - 9]', '[937, 937, 4*w^3 - 4*w^2 - 23*w - 9]', '[947, 947, w^3 + w^2 - 7*w - 13]', '[967, 967, 3*w^3 - 3*w^2 - 13*w + 1]', '[971, 971, -w^3 + 6*w^2 - 5*w - 7]', '[971, 971, 4*w^3 - 4*w^2 - 21*w - 5]', '[977, 977, -2*w^3 - 2*w^2 + 17*w + 21]', '[983, 983, 3*w^3 - 3*w^2 - 17*w - 1]', '[991, 991, -w^3 + 4*w^2 + 4*w - 5]', '[991, 991, -3*w^3 + 6*w^2 + 13*w - 5]']}
• 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, -1, -6, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 15529, 'disc_rad': 15529, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [[2, 2]]], [5, [[3, 1], [1, 1]]], [7, [[4, 1]]], [11, [[4, 1]]], [13, [[4, 1]]], [17, [[2, 2]]], [19, [[3, 1], [1, 1]]], [23, [[3, 1], [1, 1]]], [29, [[2, 1], [1, 2]]], [31, [[4, 1]]], [37, [[3, 1], [1, 1]]], [41, [[2, 2]]], [43, [[3, 1], [1, 1]]], [47, [[2, 1], [1, 2]]], [53, [0]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 124.61540835707277, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.15529.1', 'local_algs': ['53.2.0.1', '53.2.1.2', 'm293.1.2.0', 'm293.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [53, 293], 'rd': 11.1631271764, 'regulator': {'__RealLiteral__': 0, 'data': '9.77175030835', 'prec': 44}, 'res': {'gal': ['-1478088,-25025760,-114817014,-102792411,313905418,441651592,-323849192,-584589776,162022990,387729224,-41396081,-147931944,4852356,34561148,-99380,-5091912,-15070,474275,-3018,-27092,708,868,-46,-12,1'], 'sib': ['-2984,-5128,5426,13315,1705,-7223,-2536,1282,625,-55,-45,0,1', '-81,-625,539,171,-83,-3,1', '-9,-29,17,23,-9,-3,1', '6561,0,-29716,0,34330,0,-13838,0,1625,0,-70,0,1', '661158,-36525,-195760,-12838,11314,600,-226,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} - 2 a^{2} - 4 a + 3 \\)', '\\( a^{3} - 2 a^{2} - 5 a + 3 \\)', '\\( a^{3} - 7 a - 7 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}