Hilbert modular form data - 2.2.92.1-18.1-b

Formats: - HTML - YAML - JSON - 2024-05-16T04:28:32.422660

• 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': 2, 'disc': 92, 'field_bad_primes': [2, 23], 'field_label': '2.2.92.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.92.1-18.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 3], 'level_ideal': '[18, 6, -3*w - 15]', 'level_label': '18.1', 'level_norm': 18, 'parallel_weight': 2, 'short_label': '18.1-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, -w - 5]', -1], ['[9, 3, 3]', -1]], 'hecke_eigenvalues': [1, '-e', 'e', 1, '-2*e', '2*e', 6, 6, '3*e', '-3*e', 0, 2, -2, -2, -6, -6, '-e', 'e', '-3*e', '3*e', -6, -6, 'e', '-e', '2*e', '-2*e', -10, -10, '3*e', '-3*e', '-2*e', '2*e', 14, 14, '2*e', '-2*e', 10, 10, 6, 6, '-9*e', '9*e', '4*e', '-4*e', -6, -6, '-4*e', '4*e', -14, -14, '-6*e', '6*e', -18, -18, -10, -10, '-7*e', '7*e', 26, -18, -18, -26, -26, 34, 34, '2*e', '-2*e', '-5*e', '5*e', '-e', 'e', '2*e', '-2*e', -18, -18, -14, -14, '-10*e', '10*e', '-4*e', '4*e', 2, 2, 30, 30, '-8*e', '8*e', '-8*e', '8*e', '-8*e', '8*e', -18, -18, '7*e', '-7*e', -10, -10, '-4*e', '4*e', '-e', 'e', 26, 26, -46, -46, -14, -14, 'e', '-e', '-3*e', '3*e', '13*e', '-13*e', 46, 46, '16*e', '-16*e', 26, 26, '5*e', '-5*e', '-2*e', '2*e', '-3*e', '3*e', 26, 26, '5*e', '-5*e', -6, -6, 6, 6, '-8*e', '8*e', 22, 22, '-18*e', '18*e', -10, -10, 42, 42, -18, -18, '15*e', '-15*e', '-8*e', '8*e', '-9*e', '9*e', 18, 18, 2, '-16*e', '16*e', 0, 0, -50, -50, -42, -42, '4*e', '-4*e', -34, -34, '-18*e', '18*e', 22, 22, '-5*e', '5*e', '-20*e', '20*e', 6, 6, -38, -38, '-8*e', '8*e', -2, -2, '9*e', '-9*e', -38, -38, -46, -46, '-23*e', '23*e', -2, -2, '-14*e', '14*e', 22, 22, '-22*e', '22*e', -50, -50, '3*e', '-3*e', 10, 10, 2, 2, 38, 38, '-5*e', '5*e', '14*e', '-14*e', 2, 2, '8*e', '-8*e', 74, 14, 14, 62, 62, '17*e', '-17*e', -46, -46, '15*e', '-15*e', -2, -2, '-7*e', '7*e', 70, 70, '-5*e', '5*e', '-3*e', '3*e', 42, 42, '19*e', '-19*e', 0, 0, '-8*e', '8*e', 54, 54, -30, -30, '-10*e', '10*e', '11*e', '-11*e', '20*e', '-20*e', '10*e', '-10*e', -34, -34, '3*e', '-3*e', -10, -10, 34, 34, '-7*e', '7*e', '14*e', '-14*e', 6, 6, 18, 18, '-15*e', '15*e', '-e', 'e', 54, 54, 14, 14, '-15*e', '15*e', '-21*e', '21*e', -14, -14, 62, 62, '6*e', '-6*e', '-e', 'e', '-2*e', '2*e', 50, 50, '6*e', '-6*e', 10, 10, '-28*e', '28*e', 22, 22, '-3*e', '3*e', 38, 38, '-9*e', '9*e', '-3*e', '3*e', 26, 26, '30*e', '-30*e', -18, -18, '-8*e', '8*e', -62, -62, '9*e', '-9*e', -34, -34, '13*e', '-13*e', '28*e', '-28*e', -30, -82, -82, -50, -50, '-17*e', '17*e', 2, 2, '-15*e', '15*e', 30, 30, 86, 86, '-25*e', '25*e', 30, 30, '-16*e', '16*e', -46, -46, -66, -66, '-27*e', '27*e', 74, 74, '-14*e', '14*e', '24*e', '-24*e', 18, 18, -6, -6, '32*e', '-32*e', 26, 26, 30, 30, '-5*e', '5*e', '-e', 'e', -2, -2, '20*e', '-20*e', -46, -46, 2, 2, '21*e', '-21*e', -74, -74, '-3*e', '3*e', '4*e', '-4*e', 6, 6, '20*e', '-20*e', '-e', 'e', '-7*e', '7*e', 38, 38, -66, -66, -46, -46, '19*e', '-19*e', -90, -90, 18, 18, '7*e', '-7*e', 34, -22, -22, -90, -90, '22*e', '-22*e', '9*e', '-9*e', 78, 78, '-22*e', '22*e', -86, -86, -50, -50, '-8*e', '8*e', 26, 26, '-16*e', '16*e', '-32*e', '32*e', 38, 38, 82, 82, 62, 62, '-9*e', '9*e', 38, 38, '20*e', '-20*e', -62, -62, -94, -94, 34, 34, '-20*e', '20*e', 74, 74, 6, 6, -10, -10, '-31*e', '31*e', '6*e', '-6*e', 70, 70, 66, 66, '-39*e', '39*e', '-8*e', '8*e', '-15*e', '15*e', -22, -22, 94, 94, '-39*e', '39*e', 6, 6, 106, 106, '12*e', '-12*e', -102, '5*e', '-5*e', '-28*e', '28*e', '9*e', '-9*e', '-35*e', '35*e', -34, -34, '-11*e', '11*e', 6, 6, 18, 18, '-e', 'e', 86, 86, '6*e', '-6*e', 98, 98, '15*e', '-15*e', 30, 30, 122, 18, 18, '-26*e', '26*e', -74, -74, 78, 78, '27*e', '-27*e', '8*e', '-8*e', -50, -50, '-22*e', '22*e', -50, -50, -54, -54, '-21*e', '21*e', '-33*e', '33*e', '35*e', '-35*e', '16*e', '-16*e', '15*e', '-15*e', '22*e', '-22*e', '38*e', '-38*e', -14, -14, -38, -38, -86, -86, '-8*e', '8*e', '-21*e', '21*e', '-35*e', '35*e', '-2*e', '2*e', -14, -14, 86, 86, '-22*e', '22*e', 2, 2, '-19*e', '19*e', 42, 42, '-9*e', '9*e', '-7*e', '7*e', 82, 82, '11*e', '-11*e', -82, -82, -70, -70, '26*e', '-26*e', 66, 66, '7*e', '-7*e', -2, -2, -90, -90, '2*e', '-2*e', -82, -82, -86, -86, '-39*e', '39*e', 42, 42, 10, 10, '-9*e', '9*e', 30, 30, '21*e', '-21*e', 118, 118, '-11*e', '11*e', '-18*e', '18*e', 14, 14, '-33*e', '33*e', 0, 0, -70, -70, '-3*e', '3*e', '-37*e', '37*e', -46, -46, '12*e', '-12*e', '-22*e', '22*e', '8*e', '-8*e', -30, -30, -66, -66, '37*e', '-37*e', '29*e', '-29*e', -6, -6, '14*e', '-14*e', 22, 22, 126, 126, -18, -18, 90, 90, '10*e', '-10*e', '4*e', '-4*e', 54, 54, '-48*e', '48*e', 74, 74, '15*e', '-15*e', 74, 74, -46, -46, '9*e', '-9*e', -78, '-28*e', '28*e', '49*e', '-49*e', 102, 102, 2, 2, '13*e', '-13*e', '-18*e', '18*e', '-22*e', '22*e', 10, 10, 38, 38, -102, -102, '17*e', '-17*e', '-15*e', '15*e', '40*e', '-40*e', '40*e', '-40*e', '-46*e', '46*e', -2, -2, -70, -70, '-15*e', '15*e', 86, 86, 34, 34, '9*e', '-9*e', '22*e', '-22*e', 22, 22, '13*e', '-13*e', 62, 62, '-38*e', '38*e', '14*e', '-14*e', 34, 34, '-3*e', '3*e', '-22*e', '22*e', '13*e', '-13*e', -110, -110, '-15*e', '15*e', -6, -6, -74, -74, 122, 122, -114, -114, '2*e', '-2*e', -10, -10, '-36*e', '36*e', '-2*e', '2*e', 30, 30, '-13*e', '13*e', -90, -90, '-34*e', '34*e', 58, 58, 90, 90, '20*e', '-20*e', '-48*e', '48*e', 94, 94, '34*e', '-34*e', 14, 14, '-3*e', '3*e', '-6*e', '6*e', -26, -26, 42, 42, '-5*e', '5*e', '49*e', '-49*e', 54, 54, -110, -110, -62, -62, '-5*e', '5*e', '-17*e', '17*e', 30, 30, '-39*e', '39*e', 82, 82, '-20*e', '20*e', -114, -114, '-27*e', '27*e', '50*e', '-50*e', '12*e', '-12*e', 138, 138, 58, 58, '-16*e', '16*e', -14, -14, '9*e', '-9*e', -58, -58, 134, 134, -98, -98, -50, -50, '33*e', '-33*e', -78, -78, '7*e', '-7*e', 134, 134, 26, 26, '-36*e', '36*e', -86, -86, '13*e', '-13*e', '-6*e', '6*e', -74, -74, '-14*e', '14*e', -74, -74, 78, 78, -22, -22, '-9*e', '9*e', -18, -18, '-5*e', '5*e', -74, -74, '-22*e', '22*e', 10, 10, '-29*e', '29*e', '20*e', '-20*e', 146, 146, 26, 26, '-9*e', '9*e', '58*e', '-58*e', '27*e', '-27*e', '34*e', '-34*e', 38, 38, '-3*e', '3*e', -94, -94, '28*e', '-28*e', '39*e', '-39*e', 58, 58, '32*e', '-32*e', -2, -2, '-10*e', '10*e', 54, 54, '-38*e', '38*e', '-36*e', '36*e', -94, -94, '6*e', '-6*e', '27*e', '-27*e', '-13*e', '13*e', 150, 150, '-8*e', '8*e', 26, 26, 86, 86, 0, 0, 54, 54, '33*e', '-33*e', 34, 34, '-47*e', '47*e', 106, 106, '52*e', '-52*e', '-11*e', '11*e', 118, 118, -54, -54, 58, 58, -22, -22, '-54*e', '54*e', 14, 14, '20*e', '-20*e', -66, -66, '30*e', '-30*e', 98, 98, '31*e', '-31*e', '49*e', '-49*e', '-32*e', '32*e', 62, 62, '4*e', '-4*e', 126, 126, 34, 34, 94, 94, 54, 54, '2*e', '-2*e', 30, 30, '-28*e', '28*e', 170, '33*e', '-33*e', -30, -30, '-3*e', '3*e', 154, 154, '37*e', '-37*e', -158, -158, 46, 46, -30, -30, '10*e', '-10*e', -22, -22, '42*e', '-42*e', '34*e', '-34*e', '-39*e', '39*e', '14*e', '-14*e', -114, -114, -18, -18, 114, 114, '-51*e', '51*e', '44*e', '-44*e', -154, -154, -6, -6, 114, 114, '-26*e', '26*e', '44*e', '-44*e', '62*e', '-62*e', -78, -78, '21*e', '-21*e', -118, -118, '26*e', '-26*e', '-45*e', '45*e', -122, -122, -106, -106, '-3*e', '3*e', '-17*e', '17*e', -66, -66, -110, -110, '-39*e', '39*e', '-50*e', '50*e', 62, 62, -70, -70, '-2*e', '2*e', '-17*e', '17*e', 118, 118, '-26*e', '26*e', 18, 18, '48*e', '-48*e', '51*e', '-51*e', '-50*e', '50*e', '36*e', '-36*e', 62, 62, '-38*e', '38*e', '15*e', '-15*e', 30, 30, '27*e', '-27*e', -138, -138, -14, -14, '3*e', '-3*e', 54, 54, -110, -110, '-16*e', '16*e', '37*e', '-37*e', 118, 118, '-33*e', '33*e', -82, -82, -94, -94, '17*e', '-17*e', -58, -58, 134, 134, '35*e', '-35*e', '13*e', '-13*e', -150, -150, -94, -94, -138, -138, -30, -30, '-27*e', '27*e', 126, 126, '8*e', '-8*e', -34, -34, '19*e', '-19*e', '-30*e', '30*e', 146, 146, '43*e', '-43*e', -98, -98, '11*e', '-11*e', 162, -42, -42, 154, 154, 118, 118, '15*e', '-15*e', '-10*e', '10*e', '-10*e', '10*e', '-2*e', '2*e', '24*e', '-24*e', '21*e', '-21*e', '-21*e', '21*e', 10, 10, -138, -138, '-51*e', '51*e', 42, 42, 14, 14, '-11*e', '11*e', '14*e', '-14*e', '4*e', '-4*e', 118, 118, '-30*e', '30*e', -98, -98, 90, 90, '-8*e', '8*e', 146, 146, '-9*e', '9*e', '46*e', '-46*e', '15*e', '-15*e', '38*e', '-38*e', -6, -6, -2, -2], 'hecke_polynomial': 'x^2 - 8', 'label': '2.2.92.1-18.1-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 92, 'ideals': ['[1, 1, 1]', '[2, 2, -w - 5]', '[4, 2, 2]', '[7, 7, -w + 4]', '[7, 7, w + 4]', '[8, 4, -2*w - 10]', '[9, 3, 3]', '[11, 11, -2*w + 9]', '[11, 11, -2*w - 9]', '[13, 13, w + 6]', '[13, 13, -w + 6]', '[14, 14, w + 3]', '[14, 14, -w + 3]', '[16, 4, 4]', '[18, 6, -3*w - 15]', '[19, 19, -w - 2]', '[19, 19, w - 2]', '[22, 22, w + 1]', '[22, 22, w - 1]', '[23, 23, -w]', '[25, 5, -5]', '[26, 26, -w - 7]', '[26, 26, w - 7]', '[28, 14, -2*w + 8]', '[28, 14, 2*w + 8]', '[29, 29, 7*w + 34]', '[29, 29, 2*w + 11]', '[32, 8, -4*w - 20]', '[36, 6, 6]', '[38, 38, -3*w - 13]', '[38, 38, 7*w + 33]', '[41, 41, -w - 8]', '[41, 41, w - 8]', '[43, 43, 2*w - 7]', '[43, 43, -2*w - 7]', '[44, 22, -4*w + 18]', '[44, 22, -4*w - 18]', '[46, 46, 5*w + 23]', '[49, 7, 7]', '[49, 49, -3*w + 16]', '[49, 49, 3*w + 16]', '[50, 10, 5*w + 25]', '[52, 26, 2*w + 12]', '[52, 26, -2*w + 12]', '[56, 28, 2*w + 6]', '[56, 28, -2*w + 6]', '[58, 58, -w - 9]', '[58, 58, w - 9]', '[63, 21, -3*w + 12]', '[63, 21, 3*w + 12]', '[64, 8, 8]', '[67, 67, 2*w - 5]', '[67, 67, -2*w - 5]', '[72, 12, -6*w - 30]', '[73, 73, 9*w + 44]', '[73, 73, 4*w + 21]', '[76, 38, -2*w - 4]', '[76, 38, 2*w - 4]', '[77, 77, w + 10]', '[77, 77, 2*w - 13]', '[77, 77, 2*w + 13]', '[77, 77, w - 10]', '[79, 79, -4*w - 17]', '[79, 79, 11*w + 52]', '[81, 9, 9]', '[82, 82, 3*w + 17]', '[82, 82, 13*w + 63]', '[83, 83, 2*w - 3]', '[83, 83, -2*w - 3]', '[86, 86, 17*w + 81]', '[86, 86, -3*w - 11]', '[88, 44, 2*w + 2]', '[88, 44, 2*w - 2]', '[91, 91, 5*w - 22]', '[91, 91, -2*w + 1]', '[91, 91, 2*w + 1]', '[91, 91, -5*w - 22]', '[92, 46, -2*w]', '[98, 14, 7*w + 35]', '[98, 98, -w - 11]', '[98, 98, w - 11]', '[99, 33, -6*w + 27]', '[99, 33, -6*w - 27]', '[100, 10, -10]', '[101, 101, 10*w + 49]', '[101, 101, 5*w + 26]', '[103, 103, -7*w - 32]', '[103, 103, 8*w + 37]', '[104, 52, -2*w - 14]', '[104, 52, 2*w - 14]', '[107, 107, -3*w - 10]', '[107, 107, 3*w - 10]', '[112, 28, -4*w + 16]', '[112, 28, 4*w + 16]', '[116, 58, 14*w + 68]', '[116, 58, 4*w + 22]', '[117, 39, 3*w + 18]', '[117, 39, -3*w + 18]', '[121, 11, 11]', '[121, 121, w + 12]', '[121, 121, -w + 12]', '[126, 42, 3*w + 9]', '[126, 42, -3*w + 9]', '[128, 16, -8*w - 40]', '[133, 133, 6*w - 31]', '[133, 133, -2*w + 15]', '[133, 133, 2*w + 15]', '[133, 133, -6*w - 31]', '[134, 134, -5*w - 21]', '[134, 134, 15*w + 71]', '[143, 143, -4*w + 15]', '[143, 143, -3*w + 8]', '[143, 143, -3*w - 8]', '[143, 143, -4*w - 15]', '[144, 12, 12]', '[146, 146, -w - 13]', '[146, 146, w - 13]', '[152, 76, -6*w - 26]', '[152, 76, 14*w + 66]', '[154, 154, 3*w - 19]', '[154, 154, 5*w + 27]', '[154, 154, 5*w - 27]', '[154, 154, 3*w + 19]', '[158, 158, -3*w - 7]', '[158, 158, 3*w - 7]', '[161, 161, -4*w - 23]', '[161, 161, -4*w + 23]', '[162, 18, -9*w - 45]', '[164, 82, -2*w - 16]', '[164, 82, 2*w - 16]', '[166, 166, 13*w + 61]', '[166, 166, -7*w - 31]', '[169, 13, 13]', '[169, 169, -7*w + 36]', '[169, 169, 7*w + 36]', '[171, 57, -3*w - 6]', '[171, 57, 3*w - 6]', '[172, 86, 4*w - 14]', '[172, 86, -4*w - 14]', '[173, 173, -w - 14]', '[173, 173, w - 14]', '[175, 35, 5*w - 20]', '[175, 35, -5*w - 20]', '[176, 44, -8*w + 36]', '[176, 44, -8*w - 36]', '[182, 182, 9*w + 41]', '[182, 182, 3*w - 5]', '[182, 182, -3*w - 5]', '[182, 182, -9*w + 41]', '[184, 92, 10*w + 46]', '[191, 191, -3*w - 4]', '[191, 191, 3*w - 4]', '[193, 193, -3*w - 20]', '[193, 193, 3*w - 20]', '[196, 14, 14]', '[196, 98, -6*w + 32]', '[196, 98, 6*w + 32]', '[197, 197, 2*w - 17]', '[197, 197, -2*w - 17]', '[198, 66, 3*w + 3]', '[198, 66, 3*w - 3]', '[199, 199, -4*w - 13]', '[199, 199, 4*w - 13]', '[200, 20, 10*w + 50]', '[202, 202, -w - 15]', '[202, 202, w - 15]', '[203, 203, -6*w - 25]', '[203, 203, 3*w - 2]', '[203, 203, -3*w - 2]', '[203, 203, 6*w - 25]', '[206, 206, -3*w - 1]', '[206, 206, 3*w - 1]', '[207, 69, -3*w]', '[208, 52, 4*w + 24]', '[208, 52, -4*w + 24]', '[209, 209, 13*w + 64]', '[209, 209, -5*w + 28]', '[209, 209, -5*w - 28]', '[209, 209, 13*w - 64]', '[214, 214, 25*w + 119]', '[214, 214, -5*w - 19]', '[224, 56, 4*w + 12]', '[224, 56, -4*w + 12]', '[225, 15, -15]', '[227, 227, 18*w + 85]', '[227, 227, -7*w - 30]', '[232, 116, -2*w - 18]', '[232, 116, 2*w - 18]', '[233, 233, -w - 16]', '[233, 233, w - 16]', '[234, 78, -3*w - 21]', '[234, 78, 3*w - 21]', '[242, 22, -11*w - 55]', '[242, 242, -7*w - 37]', '[242, 242, 7*w - 37]', '[247, 247, -4*w + 11]', '[247, 247, -8*w - 35]', '[247, 247, 8*w - 35]', '[247, 247, 4*w + 11]', '[251, 251, -5*w - 18]', '[251, 251, 5*w - 18]', '[252, 42, -6*w + 24]', '[252, 42, 6*w + 24]', '[253, 253, -9*w + 46]', '[253, 253, 9*w + 46]', '[256, 16, 16]', '[257, 257, 4*w - 25]', '[257, 257, -4*w - 25]', '[261, 87, 21*w + 102]', '[261, 87, 6*w + 33]', '[263, 263, 16*w + 75]', '[263, 263, -9*w - 40]', '[266, 266, w + 17]', '[266, 266, -5*w - 29]', '[266, 266, 5*w - 29]', '[266, 266, -w + 17]', '[268, 134, 4*w - 10]', '[268, 134, -4*w - 10]', '[269, 269, 2*w - 19]', '[269, 269, -2*w - 19]', '[275, 55, 10*w - 45]', '[275, 55, 10*w + 45]', '[277, 277, 3*w - 22]', '[277, 277, -3*w - 22]', '[283, 283, -11*w - 50]', '[283, 283, 14*w + 65]', '[286, 286, 7*w + 29]', '[286, 286, 5*w - 17]', '[286, 286, 5*w + 17]', '[286, 286, 7*w - 29]', '[287, 287, -4*w - 9]', '[287, 287, 12*w - 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47]', '[7001, 7001, 79*w + 388]', '[7001, 7001, 44*w + 227]', '[7043, 7043, 71*w + 330]', '[7043, 7043, -54*w - 245]', '[7069, 7069, 62*w + 309]', '[7069, 7069, 57*w + 286]', '[7103, 7103, 69*w + 320]', '[7103, 7103, -56*w - 255]', '[7109, 7109, 10*w - 97]', '[7109, 7109, -10*w - 97]', '[7127, 7127, 68*w + 315]', '[7127, 7127, -57*w - 260]', '[7151, 7151, -37*w - 156]', '[7151, 7151, 108*w + 511]', '[7177, 7177, -8*w - 93]', '[7177, 7177, 8*w - 93]', '[7187, 7187, 63*w + 290]', '[7187, 7187, -62*w - 285]', '[7219, 7219, 31*w + 122]', '[7219, 7219, -31*w + 122]', '[7243, 7243, -29*w + 110]', '[7243, 7243, 29*w + 110]', '[7253, 7253, 26*w - 151]', '[7253, 7253, -26*w - 151]', '[7283, 7283, -18*w - 13]', '[7283, 7283, 18*w - 13]', '[7297, 7297, -12*w - 103]', '[7297, 7297, 12*w - 103]', '[7309, 7309, 63*w + 314]', '[7309, 7309, 58*w + 291]', '[7331, 7331, -18*w - 11]', '[7331, 7331, 18*w - 11]', '[7349, 7349, -13*w - 106]', '[7349, 7349, 13*w - 106]', '[7351, 7351, -20*w - 43]', '[7351, 7351, 20*w - 43]', '[7369, 7369, -15*w - 112]', '[7369, 7369, 15*w - 112]', '[7411, 7411, 22*w - 61]', '[7411, 7411, -22*w - 61]', '[7433, 7433, 23*w + 140]', '[7433, 7433, 148*w + 715]', '[7451, 7451, -18*w - 1]', '[7451, 7451, 18*w - 1]', '[7459, 7459, -46*w - 203]', '[7459, 7459, 89*w + 418]', '[7477, 7477, 2*w - 87]', '[7477, 7477, -2*w - 87]', '[7481, 7481, 116*w + 563]', '[7481, 7481, 31*w + 172]', '[7529, 7529, 140*w + 677]', '[7529, 7529, 25*w + 148]', '[7537, 7537, 3*w - 88]', '[7537, 7537, -3*w - 88]', '[7559, 7559, -40*w - 171]', '[7559, 7559, 105*w + 496]', '[7573, 7573, 19*w - 126]', '[7573, 7573, -19*w - 126]', '[7607, 7607, 119*w + 564]', '[7607, 7607, -36*w - 149]', '[7621, 7621, 11*w - 102]', '[7621, 7621, -11*w - 102]', '[7643, 7643, -21*w - 50]', '[7643, 7643, 21*w - 50]', '[7649, 7649, 43*w + 224]', '[7649, 7649, 88*w + 431]', '[7687, 7687, 104*w + 491]', '[7687, 7687, -41*w - 176]', '[7699, 7699, 86*w + 403]', '[7699, 7699, -49*w - 218]', '[7703, 7703, -144*w - 685]', '[7703, 7703, 31*w + 120]', '[7717, 7717, 37*w + 198]', '[7717, 7717, 102*w + 497]', '[7727, 7727, -19*w - 24]', '[7727, 7727, 19*w - 24]', '[7741, 7741, -9*w - 98]', '[7741, 7741, 9*w - 98]', '[7753, 7753, 17*w - 120]', '[7753, 7753, -17*w - 120]', '[7757, 7757, 47*w + 242]', '[7757, 7757, 82*w + 403]', '[7829, 7829, 2*w - 89]', '[7829, 7829, -2*w - 89]', '[7883, 7883, 22*w - 57]', '[7883, 7883, -22*w - 57]', '[7901, 7901, 10*w - 101]', '[7901, 7901, -10*w - 101]', '[7919, 7919, -24*w - 73]', '[7919, 7919, 24*w - 73]', '[7921, 89, -89]', '[7927, 7927, -143*w - 680]', '[7927, 7927, 32*w + 125]', '[7937, 7937, 8*w - 97]', '[7937, 7937, -8*w - 97]', '[7963, 7963, 82*w + 383]', '[7963, 7963, -53*w - 238]', '[7993, 7993, 96*w + 469]', '[7993, 7993, 41*w + 216]', '[8011, 8011, -35*w + 142]', '[8011, 8011, 35*w + 142]', '[8017, 8017, 83*w + 408]', '[8017, 8017, 48*w + 247]', '[8053, 8053, 66*w + 329]', '[8053, 8053, 61*w + 306]', '[8081, 8081, -19*w - 128]', '[8081, 8081, 19*w - 128]', '[8087, 8087, -39*w - 164]', '[8087, 8087, 116*w + 549]', '[8089, 8089, 7*w - 96]', '[8089, 8089, -7*w - 96]', '[8111, 8111, 20*w - 33]', '[8111, 8111, -20*w - 33]', '[8147, 8147, 33*w + 130]', '[8147, 8147, -33*w + 130]', '[8179, 8179, 31*w + 118]', '[8179, 8179, -31*w + 118]', '[8231, 8231, 28*w - 99]', '[8231, 8231, -28*w - 99]', '[8237, 8237, 17*w - 122]', '[8237, 8237, -17*w - 122]', '[8269, 8269, 42*w + 221]', '[8269, 8269, 97*w + 474]', '[8273, 8273, 16*w - 119]', '[8273, 8273, -16*w - 119]', '[8287, 8287, -19*w - 4]', '[8287, 8287, 19*w - 4]', '[8291, 8291, 25*w - 78]', '[8291, 8291, -25*w - 78]', '[8293, 8293, 53*w + 270]', '[8293, 8293, 78*w + 385]', '[8329, 8329, 8*w - 99]', '[8329, 8329, -8*w - 99]', '[8353, 8353, -21*w - 136]', '[8353, 8353, 21*w - 136]', '[8363, 8363, -34*w + 135]', '[8363, 8363, 34*w + 135]', '[8387, 8387, 114*w + 539]', '[8387, 8387, -41*w - 174]', '[8423, 8423, -153*w - 728]', '[8423, 8423, 32*w + 123]', '[8513, 8513, 112*w + 545]', '[8513, 8513, 37*w + 200]', '[8527, 8527, -29*w - 104]', '[8527, 8527, 29*w - 104]', '[8537, 8537, 28*w - 163]', '[8537, 8537, -28*w - 163]', '[8543, 8543, -21*w - 40]', '[8543, 8543, 21*w - 40]', '[8563, 8563, 127*w + 602]', '[8563, 8563, -38*w - 157]', '[8581, 8581, 6*w - 97]', '[8581, 8581, -6*w - 97]', '[8597, 8597, 19*w - 130]', '[8597, 8597, -19*w - 130]', '[8599, 8599, -25*w - 76]', '[8599, 8599, 25*w - 76]', '[8623, 8623, -28*w - 97]', '[8623, 8623, 28*w - 97]', '[8629, 8629, 3*w - 94]', '[8629, 8629, -3*w - 94]', '[8641, 8641, 5*w - 96]', '[8641, 8641, -5*w - 96]', '[8647, 8647, -31*w + 116]', '[8647, 8647, 31*w + 116]', '[8663, 8663, 33*w + 128]', '[8663, 8663, -152*w - 723]', '[8677, 8677, 18*w - 127]', '[8677, 8677, -18*w - 127]', '[8689, 8689, 35*w + 192]', '[8689, 8689, 120*w + 583]', '[8699, 8699, -21*w - 38]', '[8699, 8699, 21*w - 38]', '[8731, 8731, -22*w - 49]', '[8731, 8731, 22*w - 49]', '[8741, 8741, 74*w + 367]', '[8741, 8741, 59*w + 298]', '[8747, 8747, -51*w - 226]', '[8747, 8747, 94*w + 441]', '[8753, 8753, -16*w - 121]', '[8753, 8753, 16*w - 121]', '[8783, 8783, 36*w + 145]', '[8783, 8783, -36*w + 145]', '[8803, 8803, -23*w - 58]', '[8803, 8803, 23*w - 58]', '[8807, 8807, -44*w - 189]', '[8807, 8807, 111*w + 524]', '[8819, 8819, 30*w - 109]', '[8819, 8819, -30*w - 109]', '[8821, 8821, 86*w + 423]', '[8821, 8821, 51*w + 262]', '[8831, 8831, 93*w + 436]', '[8831, 8831, -52*w - 231]', '[8839, 8839, 20*w - 19]', '[8839, 8839, -20*w - 19]', '[8861, 8861, 106*w + 517]', '[8861, 8861, 41*w + 218]', '[8923, 8923, 22*w - 47]', '[8923, 8923, -22*w - 47]', '[8933, 8933, 2*w - 95]', '[8933, 8933, -2*w - 95]', '[9001, 9001, 121*w + 588]', '[9001, 9001, 36*w + 197]', '[9007, 9007, 28*w - 95]', '[9007, 9007, -28*w - 95]', '[9029, 9029, 5*w - 98]', '[9029, 9029, -5*w - 98]', '[9041, 9041, 4*w - 97]', '[9041, 9041, -4*w - 97]', '[9059, 9059, 90*w + 421]', '[9059, 9059, -55*w - 246]', '[9067, 9067, 109*w + 514]', '[9067, 9067, -46*w - 199]', '[9109, 9109, 13*w - 114]', '[9109, 9109, -13*w - 114]', '[9127, 9127, -56*w - 251]', '[9127, 9127, 89*w + 416]', '[9133, 9133, 129*w + 626]', '[9133, 9133, 34*w + 189]', '[9137, 9137, -8*w - 103]', '[9137, 9137, 8*w - 103]', '[9151, 9151, -20*w - 7]', '[9151, 9151, 20*w - 7]', '[9157, 9157, 107*w + 522]', '[9157, 9157, 42*w + 223]', '[9181, 9181, 14*w - 117]', '[9181, 9181, -14*w - 117]', '[9187, 9187, 38*w + 155]', '[9187, 9187, -38*w + 155]', '[9199, 9199, -20*w - 1]', '[9199, 9199, 20*w - 1]', '[9209, 9209, -32*w - 181]', '[9209, 9209, 32*w - 181]', '[9241, 9241, 16*w - 123]', '[9241, 9241, -16*w - 123]', '[9277, 9277, 7*w - 102]', '[9277, 9277, -7*w - 102]', '[9281, 9281, 61*w + 308]', '[9281, 9281, 76*w + 377]', '[9283, 9283, 22*w - 43]', '[9283, 9283, -22*w - 43]', '[9293, 9293, 94*w + 461]', '[9293, 9293, 49*w + 254]', '[9311, 9311, -48*w - 209]', '[9311, 9311, 107*w + 504]', '[9341, 9341, 25*w + 154]', '[9341, 9341, 170*w + 821]', '[9343, 9343, -29*w - 100]', '[9343, 9343, 29*w - 100]', '[9371, 9371, -27*w - 86]', '[9371, 9371, 27*w - 86]', '[9377, 9377, 53*w + 272]', '[9377, 9377, 88*w + 433]', '[9391, 9391, 32*w + 119]', '[9391, 9391, -32*w + 119]', '[9397, 9397, -3*w - 98]', '[9397, 9397, 3*w - 98]', '[9403, 9403, -43*w - 182]', '[9403, 9403, 122*w + 577]', '[9409, 97, -97]', '[9413, 9413, 101*w + 494]', '[9413, 9413, 46*w + 241]', '[9433, 9433, -4*w - 99]', '[9433, 9433, 4*w - 99]', '[9461, 9461, 35*w + 194]', '[9461, 9461, 130*w + 631]', '[9463, 9463, -23*w - 52]', '[9463, 9463, 23*w - 52]', '[9467, 9467, 21*w - 26]', '[9467, 9467, -21*w - 26]', '[9491, 9491, -63*w - 286]', '[9491, 9491, 82*w + 381]', '[9539, 9539, 105*w + 494]', '[9539, 9539, -50*w - 219]', '[9587, 9587, -66*w - 301]', '[9587, 9587, 79*w + 366]', '[9619, 9619, 26*w - 77]', '[9619, 9619, -26*w - 77]', '[9631, 9631, -68*w - 311]', '[9631, 9631, 77*w + 356]', '[9649, 9649, 72*w + 359]', '[9649, 9649, 67*w + 336]', '[9661, 9661, 54*w + 277]', '[9661, 9661, 89*w + 438]', '[9679, 9679, -160*w - 761]', '[9679, 9679, 35*w + 136]', '[9689, 9689, -7*w - 104]', '[9689, 9689, 7*w - 104]', '[9733, 9733, 171*w + 826]', '[9733, 9733, 26*w + 159]', '[9739, 9739, -29*w - 98]', '[9739, 9739, 29*w - 98]', '[9743, 9743, 21*w - 20]', '[9743, 9743, -21*w - 20]', '[9767, 9767, -24*w - 59]', '[9767, 9767, 24*w - 59]', '[9781, 9781, 6*w - 103]', '[9781, 9781, -6*w - 103]', '[9803, 9803, 38*w + 153]', '[9803, 9803, -38*w + 153]', '[9829, 9829, -5*w - 102]', '[9829, 9829, 5*w - 102]', '[9833, 9833, 4*w - 101]', '[9833, 9833, -4*w - 101]', '[9851, 9851, 102*w + 479]', '[9851, 9851, -53*w - 234]', '[9857, 9857, 28*w + 167]', '[9857, 9857, 163*w + 788]', '[9859, 9859, 119*w + 562]', '[9859, 9859, -46*w - 197]', '[9887, 9887, -21*w - 16]', '[9887, 9887, 21*w - 16]', '[9907, 9907, 22*w - 35]', '[9907, 9907, -22*w - 35]', '[9923, 9923, 26*w - 75]', '[9923, 9923, -26*w - 75]', '[9929, 9929, 73*w + 364]', '[9929, 9929, 68*w + 341]', '[9949, 9949, 90*w + 443]', '[9949, 9949, 55*w + 282]']}
• 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': [-23, 0, 1], 'conductor': 92, 'degree': 2, 'dirichlet_group': [1, 91], 'disc_abs': 92, 'disc_rad': 46, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [0]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [2, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 9.591663046625438, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.92.1', 'local_algs': ['2.2.2.1', '23.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 23], 'rd': 9.59166304663, 'regulator': {'__RealLiteral__': 0, 'data': '3.87076670029', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 5 a - 24 \\)'], 'used_grh': False, 'zk': ['1', 'a']}