Hilbert modular form data - 2.2.120.1-10.1-c

Formats: - HTML - YAML - JSON - 2024-05-02T01:27:43.277228

• 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': 2, 'dimension': 4, 'disc': 120, 'field_bad_primes': [2, 3, 5], 'field_label': '2.2.120.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.120.1-10.1-c', 'label_nsuffix': 2, 'label_suffix': 'c', 'level_bad_primes': [2, 5], 'level_ideal': '[10, 10, w]', 'level_label': '10.1', 'level_norm': 10, 'parallel_weight': 2, 'short_label': '10.1-c', 'weight': '[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 + 5]', 1]], 'hecke_eigenvalues': [1, '1/2*e^3 + 3*e^2 + 3*e - 3/2', -1, 'e', '1/2*e^3 + 3*e^2 + 2*e - 9/2', '-e^3 - 7*e^2 - 9*e + 3', 'e^2 + 3*e - 3', '-e^3 - 6*e^2 - 5*e + 3', '-1/2*e^3 - 3*e^2 - 4*e - 3/2', 'e^2 + 6*e + 4', '1/2*e^3 + 2*e^2 - 3*e - 7/2', '-e^3 - 8*e^2 - 15*e + 3', '-1/2*e^3 - e^2 + 6*e + 9/2', '1/2*e^3 + 4*e^2 + 7*e - 15/2', '-e^2 - 4*e - 6', '1/2*e^3 + e^2 - 6*e - 9/2', 'e^3 + 8*e^2 + 15*e - 3', '1/2*e^3 + 3*e^2 + 4*e + 3/2', 'e^3 + 6*e^2 + 5*e - 3', '3/2*e^3 + 9*e^2 + 3*e - 27/2', '-3/2*e^3 - 9*e^2 - 3*e + 27/2', '3/2*e^3 + 8*e^2 + 2*e - 21/2', '1/2*e^3 + 4*e^2 + 10*e + 3/2', '2*e^3 + 11*e^2 + 2*e - 15', '-1/2*e^3 - 2*e^2 + 7*e + 21/2', '3/2*e^3 + 11*e^2 + 19*e - 3/2', '3/2*e^3 + 7*e^2 - e - 15/2', 'e^3 + 6*e^2 + 6*e - 8', '4*e^3 + 24*e^2 + 21*e - 9', '5/2*e^3 + 15*e^2 + 18*e + 9/2', '-2*e^3 - 14*e^2 - 20*e + 3', '-e^3 - 4*e^2 + 2*e', '-3*e^2 - 9*e + 5', '3*e^3 + 21*e^2 + 27*e - 13', '4*e^3 + 26*e^2 + 27*e - 9', '1/2*e^3 + e^2 + 33/2', '-2*e^3 - 10*e^2 - 2*e + 3', '-2*e^3 - 14*e^2 - 22*e - 3', '3*e^3 + 18*e^2 + 12*e - 18', '6*e + 9', '-4*e^3 - 29*e^2 - 39*e + 14', 'e^3 + 11*e^2 + 21*e - 16', '-3*e^3 - 19*e^2 - 22*e - 6', '-5/2*e^3 - 14*e^2 - 11*e - 15/2', '2*e^3 + 19*e^2 + 39*e - 9', '-2*e^3 - 19*e^2 - 39*e + 6', '5/2*e^3 + 14*e^2 - 39/2', '-5/2*e^3 - 14*e^2 + 57/2', '-2*e^3 - 13*e^2 - 15*e + 9', '-e^3 - 5*e^2 - 3*e + 3', 'e^3 + 9*e^2 + 21*e - 11', 'e^3 + 3*e^2 - 9*e - 20', '-2*e^3 - 13*e^2 - 15*e - 3', '-e^3 - 5*e^2 - 3*e - 9', '-e^3 - 8*e^2 - 18*e - 6', '-2*e^3 - 10*e^2 + 9', '-11/2*e^3 - 36*e^2 - 43*e + 27/2', '-3*e^3 - 15*e^2 - 8*e', '6*e^3 + 36*e^2 + 36*e - 21', '6*e^3 + 36*e^2 + 36*e - 21', '-7/2*e^3 - 21*e^2 - 21*e - 7/2', '-7/2*e^3 - 21*e^2 - 21*e - 7/2', '-3/2*e^3 - 13*e^2 - 23*e - 3/2', '3/2*e^3 + 13*e^2 + 23*e - 33/2', '-1/2*e^3 - e^2 + 18*e + 51/2', '5*e^3 + 28*e^2 + 9*e - 30', '-1/2*e^3 - 4*e^2 - 9*e + 3/2', '-e^3 - 5*e^2 + 9', '-2*e^3 - 12*e^2 - 9*e + 18', '-1/2*e^3 - 3*e^2 - 6*e + 9/2', '-e^3 - 5*e^2 - 5*e + 6', '-3*e^3 - 19*e^2 - 19*e + 21', '-2*e^3 - 13*e^2 - 15*e + 17', '-e^3 - 5*e^2 - 3*e + 11', '4*e^3 + 23*e^2 + 21*e - 3', '5*e^3 + 31*e^2 + 33*e - 9', '2*e^3 + 10*e^2 - 2*e - 30', '2*e^2 + 14*e - 6', '1/2*e^3 + e^2 - 18*e - 53/2', '-5*e^3 - 28*e^2 - 9*e + 29', '9/2*e^3 + 21*e^2 - 3*e - 63/2', '9/2*e^3 + 33*e^2 + 57*e - 27/2', '-2*e^3 - 18*e^2 - 37*e + 21', '1/2*e^3 + 9*e^2 + 28*e + 33/2', '5/2*e^3 + 14*e^2 + 15*e + 33/2', '5*e^3 + 31*e^2 + 30*e - 3', '2*e^2 + 17*e + 3', '7/2*e^3 + 19*e^2 + 4*e - 69/2', '-e^3 - 2*e^2 + 9*e + 3', '-7/2*e^3 - 25*e^2 - 36*e + 27/2', '-5/2*e^3 - 14*e^2 - 3*e + 9/2', 'e^3 + 5*e^2 - 6*e - 30', '-9/2*e^3 - 29*e^2 - 39*e + 3/2', '-11/2*e^3 - 31*e^2 - 21*e + 33/2', '3*e^3 + 16*e^2 + 9*e + 13', '7/2*e^3 + 23*e^2 + 30*e + 29/2', '-5*e^3 - 37*e^2 - 63*e + 18', '-4*e^3 - 17*e^2 + 9*e + 30', '9*e^3 + 54*e^2 + 54*e - 28', '-3/2*e^3 - 15*e^2 - 30*e + 63/2', '3*e^3 + 24*e^2 + 39*e + 9', '4*e^3 + 33*e^2 + 69*e - 11', '4*e^3 + 15*e^2 - 21*e - 38', 'e^3 + e^2 - 17*e - 18', '2*e^3 + 17*e^2 + 35*e - 12', '-4*e^3 - 30*e^2 - 50*e + 15', '-2*e^3 - 6*e^2 + 14*e + 15', '-19/2*e^3 - 64*e^2 - 78*e + 45/2', '-5/2*e^3 - 8*e^2 + 6*e - 39/2', '-3/2*e^3 - 2*e^2 + 21*e + 5/2', '-4*e^3 - 31*e^2 - 54*e + 4', '15/2*e^3 + 50*e^2 + 53*e - 57/2', '-e^3 - 11*e^2 - 14*e + 33', '9/2*e^3 + 32*e^2 + 53*e - 21/2', '5*e^3 + 25*e^2 + 4*e - 30', 'e^3 + 11*e^2 + 21*e - 18', '-4*e^3 - 29*e^2 - 39*e + 12', '2*e^3 + 16*e^2 + 30*e - 7', 'e^3 + 2*e^2 - 12*e - 10', '-11/2*e^3 - 36*e^2 - 35*e + 39/2', 'e^3 + 9*e^2 + 8*e - 30', '-2*e^3 - 9*e^2 + 12*e + 34', '5/2*e^3 + 12*e^2 - 9*e - 31/2', '3*e^2 + 21*e - 12', '3*e^3 + 15*e^2 - 3*e - 48', '-11/2*e^3 - 35*e^2 - 42*e + 51/2', '-5*e^3 - 28*e^2 - 21*e + 27', '-2*e^3 - e^2 + 34*e + 12', '-13/2*e^3 - 50*e^2 - 85*e + 39/2', '4*e^3 + 21*e^2 + 9*e - 9', '4*e^3 + 27*e^2 + 39*e', '-13/2*e^3 - 36*e^2 - 30*e + 23/2', '-19/2*e^3 - 60*e^2 - 66*e + 59/2', '3*e^3 + 27*e^2 + 55*e', '-e^3 - 15*e^2 - 43*e + 9', '17/2*e^3 + 48*e^2 + 30*e - 61/2', '11/2*e^3 + 36*e^2 + 54*e + 11/2', '-6*e^3 - 33*e^2 - 9*e + 35', '-3*e^2 - 27*e - 28', '-5/2*e^3 - 14*e^2 - 15*e + 51/2', '-5*e^3 - 31*e^2 - 30*e + 45', '-5*e^3 - 27*e^2 - 3*e + 54', 'e^3 + 3*e^2 - 21*e - 9', '9*e^3 + 55*e^2 + 56*e - 33', '15/2*e^3 + 44*e^2 + 43*e - 45/2', 'e^3 + 8*e^2 + 18*e + 18', '2*e^3 + 10*e^2 + 3', '7*e^3 + 54*e^2 + 81*e - 27', '-7/2*e^3 - 33*e^2 - 60*e + 63/2', '5/2*e^3 + 22*e^2 + 37*e - 39/2', '-4*e^3 - 31*e^2 - 46*e + 18', '3*e^3 + 18*e^2 + 3*e - 58', '-9/2*e^3 - 27*e^2 - 12*e + 19/2', '-e^3 - 3*e^2 + 2*e - 9', '-9/2*e^3 - 30*e^2 - 35*e + 27/2', '-e^3 + e^2 + 24*e - 21', '-7/2*e^3 - 28*e^2 - 51*e - 39/2', '11/2*e^3 + 41*e^2 + 66*e + 15/2', '2*e^3 + 4*e^2 - 21*e + 15', '4*e^3 + 23*e^2 + 27*e + 6', '8*e^3 + 49*e^2 + 45*e - 27', '17/2*e^3 + 57*e^2 + 80*e - 45/2', '8*e^3 + 42*e^2 + 19*e - 36', '-3/2*e^3 - 9*e^2 - 9*e + 19/2', '-7*e^3 - 41*e^2 - 29*e + 33', '-3*e^3 - 19*e^2 - 31*e - 6', '-6*e^3 - 44*e^2 - 64*e + 6', '8*e^2 + 28*e - 24', '17/2*e^3 + 45*e^2 + 24*e - 45/2', '10*e^3 + 66*e^2 + 87*e - 18'], 'hecke_polynomial': 'x^4 + 7*x^3 + 10*x^2 - 3*x - 3', 'label': '2.2.120.1-10.1-c'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 120, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[3, 3, w]', '[4, 2, 2]', '[5, 5, -w + 5]', '[6, 6, w - 6]', '[7, 7, w + 3]', '[7, 7, w + 4]', '[8, 4, 2*w]', '[9, 3, 3]', '[10, 10, w]', '[12, 6, 2*w]', '[13, 13, w + 2]', '[13, 13, w + 11]', '[14, 14, -w - 4]', '[14, 14, -w + 4]', '[15, 15, w]', '[16, 4, 4]', '[17, 17, w + 8]', '[17, 17, w + 9]', '[18, 6, 3*w]', '[19, 19, w + 7]', '[19, 19, -w + 7]', '[20, 10, -2*w + 10]', '[21, 21, w + 3]', '[21, 21, w - 3]', '[24, 12, 2*w - 12]', '[25, 5, 5]', '[26, 26, w + 2]', '[26, 26, w - 2]', '[27, 9, 3*w]', '[28, 14, 2*w + 6]', '[28, 14, 2*w + 8]', '[29, 29, -w - 1]', '[29, 29, w - 1]', '[30, 30, w]', '[32, 8, 4*w]', '[34, 34, w + 8]', '[34, 34, -w + 8]', '[35, 35, w + 10]', '[35, 35, w + 25]', '[36, 6, 6]', '[37, 37, w + 17]', '[37, 37, w + 20]', '[38, 38, w + 12]', '[38, 38, w + 26]', '[39, 39, -2*w + 9]', '[39, 39, -2*w - 9]', '[40, 20, 2*w]', '[42, 42, w + 18]', '[42, 42, w + 24]', '[45, 15, -3*w + 15]', '[48, 12, 4*w]', '[49, 7, 7]', '[49, 49, -2*w + 13]', '[49, 49, 2*w + 13]', '[50, 10, 5*w]', '[51, 51, -w - 9]', '[51, 51, w - 9]', '[52, 26, 2*w + 4]', '[52, 26, 2*w + 22]', '[54, 18, 3*w - 18]', '[56, 28, -2*w - 8]', '[56, 28, -2*w + 8]', '[57, 57, w + 12]', '[57, 57, w + 45]', '[58, 58, w + 28]', '[58, 58, w + 30]', '[60, 30, 2*w]', '[63, 21, 3*w + 9]', '[63, 21, 3*w + 12]', '[64, 8, 8]', '[65, 65, w + 15]', '[65, 65, w + 50]', '[68, 34, 2*w + 16]', '[68, 34, 2*w + 18]', '[70, 70, w + 10]', '[70, 70, -w + 10]', '[71, 71, 2*w - 7]', '[71, 71, -2*w - 7]', '[72, 12, 6*w]', '[74, 74, 3*w - 14]', '[74, 74, -5*w + 26]', '[75, 15, 5*w]', '[76, 38, 2*w + 14]', '[76, 38, -2*w + 14]', '[78, 78, w + 24]', '[78, 78, w + 54]', '[80, 20, -4*w + 20]', '[81, 9, 9]', '[83, 83, w + 14]', '[83, 83, w + 69]', '[84, 42, 2*w + 6]', '[84, 42, 2*w - 6]', '[85, 85, w + 25]', '[85, 85, w + 60]', '[87, 87, w + 30]', '[87, 87, w + 57]', '[90, 30, 3*w]', '[91, 91, -w - 11]', '[91, 91, 3*w - 19]', '[91, 91, -3*w - 19]', '[91, 91, w - 11]', '[95, 95, -2*w + 5]', '[95, 95, -2*w - 5]', '[96, 24, 4*w - 24]', '[98, 14, 7*w]', '[98, 98, w + 18]', '[98, 98, w + 80]', '[100, 10, 10]', '[101, 101, -7*w + 37]', '[101, 101, -3*w + 13]', '[102, 102, w + 42]', '[102, 102, w + 60]', '[103, 103, w + 37]', '[103, 103, w + 66]', '[104, 52, 2*w + 4]', '[104, 52, 2*w - 4]', '[105, 105, 2*w - 15]', '[105, 105, -2*w - 15]', '[107, 107, w + 43]', '[107, 107, w + 64]', '[108, 18, 6*w]', '[111, 111, 2*w - 3]', '[111, 111, -2*w - 3]', '[112, 28, 4*w + 12]', '[112, 28, 4*w + 16]', '[113, 113, w + 16]', '[113, 113, w + 97]', '[114, 114, -w - 12]', '[114, 114, w - 12]', '[116, 58, -2*w - 2]', '[116, 58, 2*w - 2]', '[117, 39, 3*w + 6]', '[117, 39, 3*w + 33]', '[119, 119, -4*w + 19]', '[119, 119, -2*w + 1]', '[119, 119, -2*w - 1]', '[119, 119, -4*w - 19]', '[120, 60, 2*w]', '[121, 11, -11]', '[125, 25, -5*w + 25]', '[126, 42, -3*w - 12]', '[126, 42, -3*w + 12]', '[127, 127, w + 41]', '[127, 127, w + 86]', '[128, 16, 8*w]', '[130, 130, -3*w - 20]', '[130, 130, 3*w - 20]', '[133, 133, w + 31]', '[133, 133, w + 45]', '[133, 133, w + 88]', '[133, 133, w + 102]', '[135, 45, 3*w]', '[136, 68, 2*w + 16]', '[136, 68, -2*w + 16]', '[137, 137, w + 21]', '[137, 137, w + 116]', '[139, 139, -w - 13]', '[139, 139, w - 13]', '[140, 70, 2*w + 20]', '[140, 70, 2*w + 50]', '[142, 142, w + 32]', '[142, 142, w + 110]', '[144, 12, 12]', '[145, 145, -4*w + 25]', '[145, 145, 6*w - 35]', '[147, 21, 7*w]', '[147, 147, w + 18]', '[147, 147, w + 129]', '[148, 74, 2*w + 34]', '[148, 74, 2*w + 40]', '[149, 149, 3*w - 11]', '[149, 149, -3*w - 11]', '[150, 30, 5*w - 30]', '[152, 76, 2*w + 24]', '[152, 76, 2*w + 52]', '[153, 51, 3*w + 24]', '[153, 51, 3*w + 27]', '[156, 78, -4*w + 18]', '[156, 78, -4*w - 18]', '[157, 157, w + 40]', '[157, 157, w + 117]', '[160, 40, 4*w]', '[162, 18, 9*w]', '[166, 166, -w - 14]', '[166, 166, w - 14]', '[168, 84, 2*w + 36]', '[168, 84, 2*w + 48]', '[169, 13, 13]', '[169, 169, -2*w + 17]', '[169, 169, 2*w + 17]', '[170, 170, -3*w - 10]', '[170, 170, -3*w + 10]', '[171, 57, 3*w + 21]', '[171, 57, -3*w + 21]', '[174, 174, 5*w - 24]', '[174, 174, -7*w + 36]', '[175, 35, 5*w + 15]', '[175, 35, 5*w + 20]', '[180, 30, -6*w + 30]', '[182, 182, w + 24]', '[182, 182, w + 80]', '[182, 182, w + 102]', '[182, 182, w + 158]', '[185, 185, w + 20]', '[185, 185, w + 165]', '[189, 63, 3*w + 9]', '[189, 63, 3*w - 9]', '[190, 190, w + 50]', '[190, 190, w + 140]', '[191, 191, -4*w - 17]', '[191, 191, 4*w - 17]', '[192, 24, 8*w]', '[195, 195, w + 15]', '[195, 195, -w + 15]', '[196, 14, 14]', '[196, 98, -4*w + 26]', '[196, 98, 4*w + 26]', '[200, 20, 10*w]', '[202, 202, w + 38]', '[202, 202, w + 164]', '[203, 203, w + 59]', '[203, 203, w + 88]', '[203, 203, w + 115]', '[203, 203, w + 144]', '[204, 102, -2*w - 18]', '[204, 102, 2*w - 18]', '[206, 206, 3*w - 8]', '[206, 206, -3*w - 8]', '[208, 52, 4*w + 8]', '[208, 52, 4*w + 44]', '[210, 210, w + 60]', '[210, 210, w + 150]', '[211, 211, -5*w + 31]', '[211, 211, -7*w + 41]', '[213, 213, w + 39]', '[213, 213, w + 174]', '[214, 214, 3*w - 22]', '[214, 214, -3*w - 22]', '[216, 36, 6*w - 36]', '[221, 221, 3*w + 7]', '[221, 221, 5*w + 23]', '[221, 221, 5*w - 23]', '[221, 221, 3*w - 7]', '[222, 222, w + 54]', '[222, 222, w + 168]', '[223, 223, w + 91]', '[223, 223, w + 132]', '[224, 56, -4*w - 16]', '[224, 56, -4*w + 16]', '[225, 15, 15]', '[226, 226, -w - 16]', '[226, 226, w - 16]', '[227, 227, w + 22]', '[227, 227, w + 205]', '[228, 114, 2*w + 24]', '[228, 114, 2*w + 90]', '[232, 116, 2*w + 56]', '[232, 116, 2*w + 60]', '[233, 233, w + 27]', '[233, 233, w + 206]', '[234, 78, 3*w + 6]', '[234, 78, 3*w - 6]', '[238, 238, w + 60]', '[238, 238, w + 94]', '[238, 238, w + 144]', '[238, 238, w + 178]', '[239, 239, 6*w - 29]', '[239, 239, 8*w - 41]', '[240, 60, 4*w]', '[241, 241, 2*w - 19]', '[241, 241, -2*w - 19]', '[242, 22, 11*w]', '[243, 27, 9*w]', '[245, 35, -7*w + 35]', '[245, 245, -3*w + 5]', '[245, 245, -3*w - 5]', '[247, 247, w + 50]', '[247, 247, w + 102]', '[247, 247, w + 145]', '[247, 247, w + 197]', '[249, 249, -10*w + 57]', '[249, 249, -4*w + 27]', '[250, 50, 5*w]', '[252, 42, 6*w + 18]', '[252, 42, 6*w + 24]', '[254, 254, -3*w - 4]', '[254, 254, 3*w - 4]', '[255, 255, 4*w - 15]', '[255, 255, 4*w + 15]', '[256, 16, 16]', '[257, 257, w + 95]', '[257, 257, w + 162]', '[259, 259, w + 17]', '[259, 259, -3*w - 23]', '[259, 259, -3*w + 23]', '[259, 259, w - 17]', '[260, 130, 2*w + 30]', '[260, 130, 2*w + 100]', '[261, 87, -3*w - 3]', '[261, 87, 3*w - 3]', '[266, 266, -3*w + 2]', '[266, 266, -5*w + 22]', '[266, 266, -5*w - 22]', '[266, 266, -3*w - 2]', '[269, 269, -3*w - 1]', '[269, 269, 3*w - 1]', '[270, 90, 3*w]', '[272, 68, 4*w + 32]', '[272, 68, 4*w + 36]', '[273, 273, w + 24]', '[273, 273, w + 102]', '[273, 273, w + 171]', '[273, 273, w + 249]', '[274, 274, -9*w + 52]', '[274, 274, -5*w + 32]', '[277, 277, w + 108]', '[277, 277, w + 169]', '[278, 278, w + 126]', '[278, 278, w + 152]', '[280, 140, 2*w + 20]', '[280, 140, -2*w + 20]', '[284, 142, 4*w - 14]', '[284, 142, -4*w - 14]', '[285, 285, w + 45]', '[285, 285, w + 240]', '[288, 24, 12*w]', '[289, 17, 17]', '[289, 289, -6*w + 37]', '[289, 289, 6*w + 37]', '[290, 290, w + 30]', '[290, 290, w + 260]', '[294, 42, 7*w - 42]', '[294, 294, -w - 18]', '[294, 294, w - 18]', '[296, 148, 6*w - 28]', '[296, 148, -10*w + 52]', '[298, 298, w + 46]', '[298, 298, w + 252]', '[300, 30, 10*w]', '[303, 303, w + 63]', '[303, 303, w + 240]', '[304, 76, 4*w + 28]', '[304, 76, -4*w + 28]', '[306, 102, 3*w + 24]', '[306, 102, -3*w + 24]', '[309, 309, -13*w + 69]', '[309, 309, 5*w - 21]', '[311, 311, -4*w - 13]', '[311, 311, 4*w - 13]', '[312, 156, 2*w + 48]', '[312, 156, 2*w + 108]', '[314, 314, 7*w - 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109]', '[9961, 9961, -8*w + 109]', '[9961, 9961, 36*w - 221]', '[9967, 9967, w + 4059]', '[9967, 9967, w + 5908]', '[9969, 9969, -58*w + 333]', '[9969, 9969, -28*w + 183]', '[9970, 9970, -w - 100]', '[9970, 9970, -w + 100]', '[9972, 1662, 6*w + 648]', '[9972, 1662, 6*w + 1014]', '[9973, 9973, w + 882]', '[9973, 9973, w + 9091]', '[9975, 1995, 40*w - 195]', '[9975, 1995, 20*w + 45]', '[9975, 1995, 20*w - 45]', '[9975, 1995, 40*w + 195]', '[9978, 9978, w + 1152]', '[9978, 9978, w + 8826]', '[9979, 9979, -7*w - 107]', '[9979, 9979, -31*w - 197]', '[9979, 9979, 31*w - 197]', '[9979, 9979, 7*w - 107]', '[9980, 4990, 56*w - 290]', '[9980, 4990, 36*w - 170]', '[9981, 3327, -21*w - 57]', '[9981, 3327, 21*w - 57]', '[9984, 624, -32*w + 144]', '[9984, 624, -32*w - 144]', '[9989, 9989, -27*w - 109]', '[9989, 9989, -19*w - 29]', '[9989, 9989, -19*w + 29]', '[9989, 9989, -27*w + 109]', '[9990, 3330, 3*w + 1170]', '[9990, 3330, 3*w + 2160]', '[9992, 4996, 2*w + 1212]', '[9992, 4996, 2*w + 3784]', '[9993, 9993, w + 4026]', '[9993, 9993, w + 5967]', '[9996, 714, -14*w - 126]', '[9996, 714, 14*w - 126]', '[9996, 4998, 26*w - 174]', '[9996, 4998, -10*w - 114]', '[9996, 4998, 10*w - 114]', '[9996, 4998, -26*w - 174]', '[9997, 9997, w + 648]', '[9997, 9997, w + 2186]', '[9997, 9997, w + 7811]', '[9997, 9997, w + 9349]', '[10000, 100, 100]'], 'label': '2.2.120.1', 'narrow_class_no': 4, 'primes': ['[2, 2, w]', '[3, 3, w]', '[5, 5, -w + 5]', '[7, 7, w + 3]', '[7, 7, w + 4]', '[13, 13, w + 2]', '[13, 13, w + 11]', '[17, 17, w + 8]', '[17, 17, w + 9]', '[19, 19, w + 7]', '[19, 19, -w + 7]', '[29, 29, -w - 1]', '[29, 29, w - 1]', '[37, 37, w + 17]', '[37, 37, w + 20]', '[71, 71, 2*w - 7]', '[71, 71, -2*w - 7]', '[83, 83, w + 14]', '[83, 83, w + 69]', '[101, 101, -7*w + 37]', '[101, 101, -3*w + 13]', '[103, 103, w + 37]', '[103, 103, w + 66]', '[107, 107, w + 43]', '[107, 107, w + 64]', '[113, 113, w + 16]', '[113, 113, w + 97]', '[121, 11, -11]', '[127, 127, w + 41]', '[127, 127, w + 86]', '[137, 137, w + 21]', '[137, 137, w + 116]', '[139, 139, -w - 13]', '[139, 139, w - 13]', '[149, 149, 3*w - 11]', '[149, 149, -3*w - 11]', '[157, 157, w + 40]', '[157, 157, w + 117]', '[191, 191, -4*w - 17]', '[191, 191, 4*w - 17]', '[211, 211, -5*w + 31]', '[211, 211, -7*w + 41]', '[223, 223, w + 91]', '[223, 223, w + 132]', '[227, 227, w + 22]', '[227, 227, w + 205]', '[233, 233, w + 27]', '[233, 233, w + 206]', '[239, 239, 6*w - 29]', '[239, 239, 8*w - 41]', '[241, 241, 2*w - 19]', '[241, 241, -2*w - 19]', '[257, 257, w + 95]', '[257, 257, w + 162]', '[269, 269, -3*w - 1]', '[269, 269, 3*w - 1]', '[277, 277, w + 108]', '[277, 277, w + 169]', '[311, 311, -4*w - 13]', '[311, 311, 4*w - 13]', '[331, 331, -w - 19]', '[331, 331, w - 19]', '[347, 347, w + 77]', '[347, 347, w + 270]', '[353, 353, w + 33]', '[353, 353, w + 320]', '[359, 359, 4*w - 11]', '[359, 359, -4*w - 11]', '[367, 367, w + 146]', '[367, 367, w + 221]', '[373, 373, w + 75]', '[373, 373, w + 298]', '[379, 379, -7*w + 43]', '[379, 379, -9*w + 53]', '[389, 389, 5*w - 19]', '[389, 389, -5*w - 19]', '[397, 397, w + 53]', '[397, 397, w + 344]', '[409, 409, 2*w - 23]', '[409, 409, -2*w - 23]', '[431, 431, 4*w - 7]', '[431, 431, -4*w - 7]', '[443, 443, w + 159]', '[443, 443, w + 284]', '[461, 461, 5*w - 17]', '[461, 461, -5*w - 17]', '[463, 463, w + 131]', '[463, 463, w + 332]', '[467, 467, w + 214]', '[467, 467, w + 253]', '[479, 479, -4*w - 1]', '[479, 479, 4*w - 1]', '[487, 487, w + 70]', '[487, 487, w + 417]', '[499, 499, -w - 23]', '[499, 499, w - 23]', '[509, 509, -7*w + 31]', '[509, 509, -15*w + 79]', '[529, 23, -23]', '[563, 563, w + 34]', '[563, 563, w + 529]', '[571, 571, -3*w - 29]', '[571, 571, 3*w - 29]', '[587, 587, w + 183]', '[587, 587, w + 404]', '[593, 593, w + 246]', '[593, 593, w + 347]', '[599, 599, 10*w - 49]', '[599, 599, 12*w - 61]', '[601, 601, -16*w + 91]', '[601, 601, 6*w - 41]', '[607, 607, w + 89]', '[607, 607, w + 518]', '[613, 613, w + 231]', '[613, 613, w + 382]', '[617, 617, w + 257]', '[617, 617, w + 360]', '[619, 619, -5*w - 37]', '[619, 619, 5*w - 37]', '[683, 683, w + 264]', '[683, 683, w + 419]', '[691, 691, 3*w - 31]', '[691, 691, -3*w - 31]', '[701, 701, 5*w - 7]', '[701, 701, -5*w - 7]', '[719, 719, -6*w - 19]', '[719, 719, 6*w - 19]', '[727, 727, w + 311]', '[727, 727, w + 416]', '[733, 733, w + 105]', '[733, 733, w + 628]', '[739, 739, -7*w + 47]', '[739, 739, 17*w - 97]', '[757, 757, w + 73]', '[757, 757, w + 684]', '[769, 769, 6*w - 43]', '[769, 769, -6*w - 43]', '[811, 811, -w - 29]', '[811, 811, w - 29]', '[821, 821, 15*w - 77]', '[821, 821, 11*w - 53]', '[823, 823, w + 186]', '[823, 823, w + 637]', '[827, 827, w + 388]', '[827, 827, w + 439]', '[839, 839, 12*w - 59]', '[839, 839, 14*w - 71]', '[853, 853, w + 258]', '[853, 853, w + 595]', '[857, 857, w + 51]', '[857, 857, w + 806]', '[859, 859, -11*w + 67]', '[859, 859, -13*w + 77]', '[877, 877, w + 192]', '[877, 877, w + 685]', '[911, 911, -6*w - 13]', '[911, 911, 6*w - 13]', '[941, 941, 7*w - 23]', '[941, 941, -7*w - 23]', '[947, 947, w + 127]', '[947, 947, w + 820]', '[953, 953, w + 44]', '[953, 953, w + 909]', '[961, 31, -31]', '[967, 967, w + 442]', '[967, 967, w + 525]', '[977, 977, w + 185]', '[977, 977, w + 792]', '[997, 997, w + 100]', '[997, 997, w + 897]']}
• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [-30, 0, 1], 'conductor': 120, 'degree': 2, 'dirichlet_group': [1, 59], 'disc_abs': 120, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 10.954451150103322, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.120.1', 'local_algs': ['2.2.3.3', '3.2.1.1', '5.2.1.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 0, 'ramps': [2, 3, 5], 'rd': 10.9544511501, 'regulator': {'__RealLiteral__': 0, 'data': '3.08896990484', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a - 11 \\)'], 'used_grh': False, 'zk': ['1', 'a']}