Hilbert modular form data - 2.2.145.1-9.1-a

Formats: - HTML - YAML - JSON - 2025-01-15T09:42:44.140862

• 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': 1, 'disc': 145, 'field_bad_primes': [5, 29], 'field_label': '2.2.145.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.145.1-9.1-a', 'label_nsuffix': 0, 'label_suffix': 'a', 'level_bad_primes': [3], 'level_ideal': '[9, 3, 3]', 'level_label': '9.1', 'level_norm': 9, 'parallel_weight': 2, 'short_label': '9.1-a', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[3, 3, w]', 1], ['[3, 3, w + 2]', 1]], 'hecke_eigenvalues': [2, 2, -1, -1, 4, 6, 6, -4, 1, 1, 1, 1, -8, -8, -2, 8, 8, 2, 2, -15, -15, -11, -11, -1, -1, 8, 8, 21, -7, -7, 16, 16, 11, 11, 14, 14, -17, -17, -14, -14, 13, 13, 22, 6, 6, -7, -7, -6, -6, -19, -19, -26, -26, 11, 11, -26, -26, -24, -24, -2, -2, -15, -15, 12, 12, 10, 10, -11, -11, 22, -27, -27, -12, -12, 30, 30, -6, -6, -7, -7, 0, 0, -4, -4, 18, 18, -12, -12, 8, 8, -28, -28, -8, -8, -35, 36, 36, -23, -23, 34, 34, -40, -40, -36, -36, 32, 32, 24, 24, -5, -5, 18, 18, 20, 20, 6, 6, 19, 19, 0, 0, 0, 0, -2, -2, -6, -6, 33, 33, -34, -34, -24, -24, 16, 16, 1, 1, 44, 44, -8, -8, 42, 42, 21, 21, 30, 30, -41, -41, 24, 24, 46, 46, -24, -24, 6, 6, 58, 31, 31, 54, 54, -47, -47, 55, 55], 'hecke_polynomial': 'x', 'label': '2.2.145.1-9.1-a'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 145, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[2, 2, w + 1]', '[3, 3, w]', '[3, 3, w + 2]', '[4, 2, 2]', '[4, 4, w]', '[4, 4, w + 3]', '[5, 5, w + 2]', '[6, 6, -w + 6]', '[6, 6, w + 2]', '[6, 6, w + 3]', '[6, 6, -w - 5]', '[8, 4, 2*w]', '[8, 4, 2*w + 2]', '[8, 8, w + 3]', '[8, 8, w + 4]', '[9, 3, 3]', '[9, 9, w]', '[9, 9, w + 8]', '[10, 10, w + 2]', '[10, 10, w + 7]', '[12, 6, 2*w]', '[12, 6, 2*w + 4]', '[12, 12, w]', '[12, 12, w + 3]', '[12, 12, w + 8]', '[12, 12, w + 11]', '[15, 15, w + 2]', '[15, 15, w + 12]', '[16, 4, 4]', '[16, 8, 2*w]', '[16, 8, 2*w + 6]', '[16, 16, -w - 4]', '[16, 16, -w + 5]', '[17, 17, w + 1]', '[17, 17, w + 15]', '[18, 6, 3*w]', '[18, 6, 3*w + 3]', '[18, 18, w]', '[18, 18, w + 8]', '[18, 18, w + 9]', '[18, 18, w + 17]', '[20, 10, 2*w + 4]', '[20, 20, w + 7]', '[20, 20, -w + 8]', '[24, 12, -2*w + 12]', '[24, 12, 2*w + 4]', '[24, 12, 2*w + 6]', '[24, 12, -2*w - 10]', '[24, 24, -w - 3]', '[24, 24, w + 11]', '[24, 24, w + 12]', '[24, 24, -w + 4]', '[25, 5, 5]', '[27, 9, 3*w]', '[27, 9, 3*w + 6]', '[27, 27, w + 9]', '[27, 27, w + 17]', '[29, 29, w + 14]', '[30, 30, -w - 2]', '[30, 30, w + 12]', '[30, 30, w + 17]', '[30, 30, -w + 3]', '[32, 8, 4*w]', '[32, 8, 4*w + 4]', '[32, 16, 2*w + 6]', '[32, 16, 2*w + 8]', '[32, 32, w + 11]', '[32, 32, w + 20]', '[34, 34, w + 1]', '[34, 34, w + 15]', '[34, 34, w + 18]', '[34, 34, w - 2]', '[36, 6, 6]', '[36, 12, 3*w]', '[36, 12, 3*w + 9]', '[36, 18, 2*w]', '[36, 18, 2*w + 16]', '[36, 36, -w]', '[36, 36, w + 8]', '[36, 36, -w + 9]', '[36, 36, -w + 1]', '[37, 37, w + 10]', '[37, 37, w + 26]', '[40, 20, 2*w + 4]', '[40, 20, 2*w + 14]', '[40, 40, w + 12]', '[40, 40, w + 27]', '[43, 43, w + 19]', '[43, 43, w + 23]', '[45, 15, 3*w + 6]', '[45, 45, -2*w + 11]', '[45, 45, -2*w - 9]', '[47, 47, w + 22]', '[47, 47, w + 24]', '[48, 12, 4*w]', '[48, 12, 4*w + 8]', '[48, 24, 2*w]', '[48, 24, 2*w + 6]', '[48, 24, 2*w + 16]', '[48, 24, 2*w + 22]', '[48, 48, w + 11]', '[48, 48, w + 20]', '[48, 48, w + 27]', '[48, 48, w + 36]', '[49, 7, -7]', '[50, 10, 5*w]', '[50, 10, 5*w + 5]', '[51, 51, w + 15]', '[51, 51, 2*w - 15]', '[51, 51, -2*w - 13]', '[51, 51, w + 35]', '[54, 18, -3*w + 18]', '[54, 18, 3*w + 6]', '[54, 18, 3*w + 9]', '[54, 18, -3*w - 15]', '[54, 54, w + 9]', '[54, 54, w + 17]', '[54, 54, w + 36]', '[54, 54, -w + 10]', '[58, 58, w + 14]', '[58, 58, w + 43]', '[59, 59, w + 16]', '[59, 59, w + 42]', '[60, 30, 2*w + 4]', '[60, 30, 2*w + 24]', '[60, 60, w + 12]', '[60, 60, w + 27]', '[60, 60, w + 32]', '[60, 60, w + 47]', '[64, 8, 8]', '[64, 16, 4*w]', '[64, 16, 4*w + 12]', '[64, 32, -2*w - 8]', '[64, 32, -2*w + 10]', '[64, 64, w + 20]', '[64, 64, w + 43]', '[68, 34, 2*w + 2]', '[68, 34, 2*w + 30]', '[68, 68, w + 15]', '[68, 68, w + 32]', '[68, 68, w + 35]', '[68, 68, w + 52]', '[71, 71, w + 21]', '[71, 71, w + 49]', '[72, 12, 6*w]', '[72, 12, 6*w + 6]', '[72, 24, 3*w + 9]', '[72, 24, 3*w + 12]', '[72, 36, 2*w]', '[72, 36, 2*w + 16]', '[72, 36, 2*w + 18]', '[72, 36, 2*w + 34]', '[72, 72, w + 27]', '[72, 72, w + 35]', '[72, 72, w + 36]', '[72, 72, w + 44]', '[73, 73, w + 13]', '[73, 73, w + 59]', '[74, 74, -w - 10]', '[74, 74, w + 26]', '[74, 74, w + 47]', '[74, 74, w - 11]', '[75, 15, 5*w]', '[75, 15, 5*w + 10]', '[80, 20, 4*w + 8]', '[80, 40, 2*w + 14]', '[80, 40, -2*w + 16]', '[80, 80, w + 27]', '[80, 80, w + 52]', '[81, 9, 9]', '[81, 27, 3*w]', '[81, 27, 3*w + 24]', '[81, 81, -2*w + 9]', '[81, 81, -2*w - 7]', '[85, 85, w + 32]', '[85, 85, w + 52]', '[86, 86, w + 19]', '[86, 86, 5*w + 29]', '[86, 86, 5*w - 34]', '[86, 86, w + 66]', '[87, 87, w + 14]', '[87, 87, w + 72]', '[90, 30, 3*w + 6]', '[90, 30, 3*w + 21]', '[90, 90, w + 17]', '[90, 90, w + 27]', '[90, 90, w + 62]', '[90, 90, w + 72]', '[94, 94, w + 22]', '[94, 94, -3*w + 22]', '[94, 94, -3*w - 19]', '[94, 94, w + 71]', '[96, 24, -4*w + 24]', '[96, 24, 4*w + 8]', '[96, 24, 4*w + 12]', '[96, 24, -4*w - 20]', '[96, 48, -2*w - 6]', '[96, 48, 2*w + 22]', '[96, 48, 2*w + 24]', '[96, 48, -2*w + 8]', '[96, 96, w + 11]', '[96, 96, w + 20]', '[96, 96, w + 75]', '[96, 96, -w + 12]', '[97, 97, w + 28]', '[97, 97, w + 68]', '[98, 14, 7*w]', '[98, 14, 7*w + 7]', '[100, 10, 10]', '[100, 20, 5*w]', '[100, 20, 5*w + 15]', '[102, 102, w + 15]', '[102, 102, w + 18]', '[102, 102, w + 32]', '[102, 102, w + 35]', '[102, 102, w + 66]', '[102, 102, w + 69]', '[102, 102, w + 83]', '[102, 102, w + 86]', '[108, 18, 6*w]', '[108, 18, 6*w + 12]', '[108, 36, 3*w]', '[108, 36, 3*w + 9]', '[108, 36, 3*w + 24]', '[108, 36, 3*w + 33]', '[108, 54, 2*w + 18]', '[108, 54, 2*w + 34]', '[108, 108, w + 36]', '[108, 108, w + 44]', '[108, 108, w + 63]', '[108, 108, w + 71]', '[109, 109, 2*w - 7]', '[109, 109, -2*w - 5]', '[111, 111, w + 26]', '[111, 111, 8*w + 43]', '[111, 111, 8*w - 51]', '[111, 111, w + 84]', '[113, 113, w + 45]', '[113, 113, w + 67]', '[116, 58, 2*w + 28]', '[116, 116, -3*w - 13]', '[116, 116, -3*w + 16]', '[118, 118, w + 16]', '[118, 118, w + 42]', '[118, 118, w + 75]', '[118, 118, w + 101]', '[120, 60, -2*w - 4]', '[120, 60, 2*w + 24]', '[120, 60, 2*w + 34]', '[120, 60, -2*w + 6]', '[120, 120, w + 12]', '[120, 120, w + 27]', '[120, 120, w + 92]', '[120, 120, -w + 13]', '[121, 11, -11]', '[125, 25, 5*w + 10]', '[127, 127, w + 39]', '[127, 127, w + 87]', '[128, 16, 8*w]', '[128, 16, 8*w + 8]', '[128, 32, 4*w + 12]', '[128, 32, 4*w + 16]', '[128, 64, 2*w + 22]', '[128, 64, 2*w + 40]', '[128, 128, w + 20]', '[128, 128, w + 107]', '[129, 129, w + 23]', '[129, 129, 2*w - 5]', '[129, 129, -2*w - 3]', '[129, 129, w + 105]', '[135, 45, 3*w + 6]', '[135, 45, 3*w + 36]', '[135, 135, w + 17]', '[135, 135, w + 117]', '[136, 68, 2*w + 2]', '[136, 68, 2*w + 30]', '[136, 68, 2*w + 36]', '[136, 68, 2*w - 4]', '[136, 136, w + 35]', '[136, 136, -3*w - 20]', '[136, 136, 3*w - 23]', '[136, 136, w + 100]', '[137, 137, w + 37]', '[137, 137, w + 99]', '[139, 139, 4*w - 23]', '[139, 139, 4*w + 19]', '[141, 141, w + 24]', '[141, 141, 2*w - 3]', '[141, 141, -2*w - 1]', '[141, 141, w + 116]', '[142, 142, w + 21]', '[142, 142, w + 49]', '[142, 142, w + 92]', '[142, 142, w + 120]', '[144, 12, 12]', '[144, 24, 6*w]', '[144, 24, 6*w + 18]', '[144, 36, 4*w]', '[144, 36, 4*w + 32]', '[144, 48, -3*w - 12]', '[144, 48, -3*w + 15]', '[144, 72, -2*w]', '[144, 72, 2*w + 16]', '[144, 72, -2*w + 18]', '[144, 72, -2*w + 2]', '[144, 144, w + 27]', '[144, 144, w + 36]', '[144, 144, w + 107]', '[144, 144, w + 116]', '[145, 145, -2*w + 1]', '[146, 146, -w - 13]', '[146, 146, w + 59]', '[146, 146, w + 86]', '[146, 146, w - 14]', '[147, 21, 7*w]', '[147, 21, 7*w + 14]', '[148, 74, 2*w + 20]', '[148, 74, 2*w + 52]', '[148, 148, w + 47]', '[148, 148, w + 63]', '[148, 148, w + 84]', '[148, 148, w + 100]', '[149, 149, 6*w + 31]', '[149, 149, 6*w - 37]', '[150, 30, -5*w + 30]', '[150, 30, 5*w + 10]', '[150, 30, 5*w + 15]', '[150, 30, -5*w - 25]', '[151, 151, w + 60]', '[151, 151, w + 90]', '[153, 51, 3*w + 3]', '[153, 51, 3*w + 45]', '[153, 153, w + 18]', '[153, 153, w + 35]', '[153, 153, w + 117]', '[153, 153, w + 134]', '[157, 157, w + 53]', '[157, 157, w + 103]', '[160, 40, 4*w + 8]', '[160, 40, 4*w + 28]', '[160, 80, 2*w + 24]', '[160, 80, 2*w + 54]', '[160, 160, w + 52]', '[160, 160, w + 107]', '[162, 18, 9*w]', '[162, 18, 9*w + 9]', '[162, 54, 3*w]', '[162, 54, 3*w + 24]', '[162, 54, 3*w + 27]', '[162, 54, 3*w + 51]', '[162, 162, w + 36]', '[162, 162, w + 44]', '[162, 162, w + 117]', '[162, 162, w + 125]', '[163, 163, w + 54]', '[163, 163, w + 108]', '[169, 13, -13]', '[170, 170, w + 32]', '[170, 170, 3*w - 14]', '[170, 170, 3*w + 11]', '[170, 170, w + 137]', '[172, 86, 2*w + 38]', '[172, 86, 2*w + 46]', '[172, 172, w + 19]', '[172, 172, w + 23]', '[172, 172, w + 148]', '[172, 172, w + 152]', '[174, 174, w + 14]', '[174, 174, w + 72]', '[174, 174, w + 101]', '[174, 174, -w + 15]', '[177, 177, w + 42]', '[177, 177, w + 75]', '[177, 177, w + 101]', '[177, 177, w + 134]', '[179, 179, 2*w - 19]', '[179, 179, -2*w - 17]', '[180, 30, 6*w + 12]', '[180, 60, 3*w + 21]', '[180, 60, -3*w + 24]', '[180, 90, -4*w + 22]', '[180, 90, -4*w - 18]', '[180, 180, w + 27]', '[180, 180, w + 72]', '[180, 180, w + 107]', '[180, 180, w + 152]', '[181, 181, w + 33]', '[181, 181, w + 147]', '[185, 185, w + 47]', '[185, 185, w + 137]', '[188, 94, 2*w + 44]', '[188, 94, 2*w + 48]', '[188, 188, w + 24]', '[188, 188, w + 71]', '[188, 188, w + 116]', '[188, 188, w + 163]', '[192, 24, 8*w]', '[192, 24, 8*w + 16]', '[192, 48, 4*w]', '[192, 48, 4*w + 12]', '[192, 48, 4*w + 32]', '[192, 48, 4*w + 44]', '[192, 96, 2*w + 22]', '[192, 96, 2*w + 40]', '[192, 96, 2*w + 54]', '[192, 96, 2*w + 72]', '[192, 192, w + 20]', '[192, 192, w + 84]', '[192, 192, w + 107]', '[192, 192, w + 171]', '[193, 193, w + 48]', '[193, 193, w + 144]', '[194, 194, w + 28]', '[194, 194, -3*w - 10]', '[194, 194, 3*w - 13]', '[194, 194, w + 165]', '[196, 14, 14]', '[196, 28, 7*w]', '[196, 28, 7*w + 21]', '[199, 199, w + 77]', '[199, 199, w + 121]', '[200, 20, 10*w]', '[200, 20, 10*w + 10]', '[200, 40, 5*w + 15]', '[200, 40, 5*w + 20]', '[204, 102, 2*w + 30]', '[204, 102, 4*w - 30]', '[204, 102, -4*w - 26]', '[204, 102, 2*w + 70]', '[204, 204, -w - 15]', '[204, 204, w + 32]', '[204, 204, 5*w - 29]', '[204, 204, w + 83]', '[204, 204, w + 120]', '[204, 204, 5*w + 24]', '[204, 204, w + 171]', '[204, 204, w - 16]', '[213, 213, w + 21]', '[213, 213, w + 92]', '[213, 213, w + 120]', '[213, 213, w + 191]', '[215, 215, w + 62]', '[215, 215, w + 152]', '[216, 36, -6*w + 36]', '[216, 36, 6*w + 12]', '[216, 36, 6*w + 18]', '[216, 36, -6*w - 30]', '[216, 72, -3*w - 9]', '[216, 72, 3*w + 33]', '[216, 72, 3*w + 36]', '[216, 72, -3*w + 12]', '[216, 108, 2*w + 18]', '[216, 108, 2*w + 34]', '[216, 108, 2*w + 72]', '[216, 108, -2*w + 20]', '[216, 216, -5*w + 36]', '[216, 216, w + 44]', '[216, 216, w + 171]', '[216, 216, 5*w + 31]', '[218, 218, w + 51]', '[218, 218, w + 57]', '[218, 218, w + 160]', '[218, 218, w + 166]', '[219, 219, 4*w + 17]', '[219, 219, w + 86]', '[219, 219, w + 132]', '[219, 219, 4*w - 21]', '[222, 222, w + 26]', '[222, 222, w + 47]', '[222, 222, w + 63]', '[222, 222, w + 84]', '[222, 222, w + 137]', '[222, 222, w + 158]', '[222, 222, w + 174]', '[222, 222, w + 195]', '[225, 15, 15]', '[225, 45, 5*w]', '[225, 45, 5*w + 40]', '[226, 226, w + 45]', '[226, 226, 11*w + 59]', '[226, 226, 11*w - 70]', '[226, 226, w + 180]', '[232, 116, 2*w + 28]', '[232, 116, 2*w + 86]', '[232, 232, w + 43]', '[232, 232, w + 188]', '[235, 235, w + 22]', '[235, 235, w + 212]', '[236, 118, 2*w + 32]', '[236, 118, 2*w + 84]', '[236, 236, -w - 16]', '[236, 236, 3*w - 11]', '[236, 236, 3*w + 8]', '[236, 236, w - 17]', '[239, 239, w + 31]', '[239, 239, w + 207]', '[240, 60, 4*w + 8]', '[240, 60, 4*w + 48]', '[240, 120, 2*w + 24]', '[240, 120, 2*w + 54]', '[240, 120, 2*w + 64]', '[240, 120, 2*w + 94]', '[240, 240, w + 27]', '[240, 240, w + 107]', '[240, 240, w + 132]', '[240, 240, w + 212]', '[241, 241, w + 38]', '[241, 241, w + 202]', '[242, 22, 11*w]', '[242, 22, 11*w + 11]', '[243, 27, 9*w]', '[243, 27, 9*w + 18]', '[243, 81, 3*w + 27]', '[243, 81, 3*w + 51]', '[243, 243, w + 44]', '[243, 243, w + 198]', '[245, 35, 7*w + 14]', '[250, 50, 5*w + 10]', '[250, 50, 5*w + 35]', '[254, 254, w + 39]', '[254, 254, -3*w - 7]', '[254, 254, 3*w - 10]', '[254, 254, w + 214]', '[255, 255, w + 32]', '[255, 255, 2*w - 21]', '[255, 255, -2*w - 19]', '[255, 255, w + 222]', '[256, 16, 16]', '[256, 32, 8*w]', '[256, 32, 8*w + 24]', '[256, 64, -4*w - 16]', '[256, 64, -4*w + 20]', '[256, 128, 2*w + 40]', '[256, 128, 2*w + 86]', '[256, 256, -5*w - 23]', '[256, 256, -5*w + 28]', '[258, 258, w + 23]', '[258, 258, w + 62]', '[258, 258, w + 66]', '[258, 258, w + 105]', '[258, 258, w + 152]', '[258, 258, w + 191]', '[258, 258, w + 195]', '[258, 258, w + 234]', '[261, 87, 3*w + 42]', '[261, 261, 4*w + 27]', '[261, 261, -4*w + 31]', '[263, 263, w + 56]', '[263, 263, w + 206]', '[270, 90, -3*w - 6]', '[270, 90, 3*w + 36]', '[270, 90, 3*w + 51]', '[270, 90, -3*w + 9]', '[270, 270, w + 17]', '[270, 270, w + 117]', '[270, 270, w + 152]', '[270, 270, -w + 18]', '[272, 68, 4*w + 4]', '[272, 68, 4*w + 60]', '[272, 136, 2*w + 30]', '[272, 136, 2*w + 64]', '[272, 136, 2*w + 70]', '[272, 136, 2*w + 104]', '[272, 272, w + 52]', '[272, 272, w + 100]', '[272, 272, w + 171]', '[272, 272, w + 219]', '[274, 274, w + 37]', '[274, 274, -3*w - 23]', '[274, 274, 3*w - 26]', '[274, 274, w + 236]', '[278, 278, w + 29]', '[278, 278, w + 109]', '[278, 278, w + 168]', '[278, 278, w + 248]', '[281, 281, 6*w - 35]', '[281, 281, 6*w + 29]', '[282, 282, w + 24]', '[282, 282, w + 69]', '[282, 282, w + 71]', '[282, 282, w + 116]', '[282, 282, w + 165]', '[282, 282, w + 210]', '[282, 282, w + 212]', '[282, 282, w + 257]', '[284, 142, 2*w + 42]', '[284, 142, 2*w + 98]', '[284, 284, 3*w - 8]', '[284, 284, 9*w - 56]', '[284, 284, 9*w + 47]', '[284, 284, 3*w + 5]', '[288, 24, 12*w]', '[288, 24, 12*w + 12]', '[288, 48, 6*w + 18]', '[288, 48, 6*w + 24]', '[288, 72, 4*w]', '[288, 72, 4*w + 32]', '[288, 72, 4*w + 36]', '[288, 72, 4*w + 68]', '[288, 96, 3*w + 33]', '[288, 96, 3*w + 60]', '[288, 144, 2*w + 54]', '[288, 144, 2*w + 70]', '[288, 144, 2*w + 72]', '[288, 144, 2*w + 88]', '[288, 288, w + 107]', '[288, 288, w + 116]', '[288, 288, w + 171]', '[288, 288, w + 180]', '[289, 17, 17]', '[289, 289, w + 83]', '[289, 289, w + 205]', '[290, 290, w + 72]', '[290, 290, w + 217]', '[291, 291, 14*w + 79]', '[291, 291, w + 125]', '[291, 291, w + 165]', '[291, 291, 14*w - 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65]', '[1894, 1894, -9*w + 74]', '[1894, 1894, w + 1796]', '[1901, 1901, w + 508]', '[1901, 1901, w + 1392]', '[1902, 1902, w + 123]', '[1902, 1902, w + 440]', '[1902, 1902, w + 510]', '[1902, 1902, w + 827]', '[1902, 1902, w + 1074]', '[1902, 1902, w + 1391]', '[1902, 1902, w + 1461]', '[1902, 1902, w + 1778]', '[1905, 1905, w + 87]', '[1905, 1905, 8*w + 61]', '[1905, 1905, 8*w - 69]', '[1905, 1905, w + 1817]', '[1912, 956, 2*w + 62]', '[1912, 956, 2*w + 414]', '[1912, 956, 2*w + 540]', '[1912, 956, 2*w + 892]', '[1912, 1912, w + 748]', '[1912, 1912, w + 924]', '[1912, 1912, w + 987]', '[1912, 1912, w + 1163]', '[1917, 639, 3*w + 63]', '[1917, 639, 3*w + 276]', '[1917, 639, 3*w + 360]', '[1917, 639, 3*w + 573]', '[1917, 1917, w + 333]', '[1917, 1917, w + 873]', '[1917, 1917, w + 1043]', '[1917, 1917, w + 1583]', '[1920, 240, -8*w - 16]', '[1920, 240, 8*w + 96]', '[1920, 240, 8*w + 136]', '[1920, 240, -8*w + 24]', '[1920, 480, 4*w + 48]', '[1920, 480, 4*w + 108]', '[1920, 480, 4*w + 368]', '[1920, 480, -4*w + 52]', '[1920, 960, 2*w + 214]', '[1920, 960, 14*w + 88]', '[1920, 960, -14*w + 102]', '[1920, 960, 2*w + 744]', '[1920, 1920, -17*w + 101]', '[1920, 1920, w + 747]', '[1920, 1920, w + 1172]', '[1920, 1920, -17*w - 84]', '[1921, 1921, 24*w + 139]', '[1921, 1921, w + 610]', '[1921, 1921, w + 1310]', '[1921, 1921, -24*w + 163]', '[1922, 62, 31*w]', '[1922, 62, 31*w + 31]', '[1928, 964, 2*w + 76]', '[1928, 964, 2*w + 404]', '[1928, 964, 2*w + 558]', '[1928, 964, 2*w + 886]', '[1928, 1928, w + 443]', '[1928, 1928, w + 684]', '[1928, 1928, w + 1243]', '[1928, 1928, w + 1484]', '[1930, 1930, w + 337]', '[1930, 1930, 3*w - 49]', '[1930, 1930, -3*w - 46]', '[1930, 1930, w + 1592]', '[1933, 1933, w + 124]', '[1933, 1933, w + 1808]', '[1934, 1934, w + 256]', '[1934, 1934, 27*w - 170]', '[1934, 1934, 27*w + 143]', '[1934, 1934, w + 1677]', '[1935, 645, 3*w + 186]', '[1935, 645, 3*w + 456]', '[1935, 1935, w + 62]', '[1935, 1935, w + 152]', '[1935, 1935, w + 1782]', '[1935, 1935, w + 1872]', '[1936, 44, 44]', '[1936, 88, 22*w]', '[1936, 88, 22*w + 66]', '[1936, 176, 11*w + 44]', '[1936, 176, 11*w - 55]', '[1940, 970, 2*w + 444]', '[1940, 970, 2*w + 524]', '[1940, 1940, w + 707]', '[1940, 1940, w + 747]', '[1940, 1940, w + 1192]', '[1940, 1940, w + 1232]', '[1944, 108, -18*w + 108]', '[1944, 108, 18*w + 36]', '[1944, 108, 18*w + 54]', '[1944, 108, -18*w - 90]', '[1944, 216, -9*w - 27]', '[1944, 216, 9*w + 99]', '[1944, 216, 9*w + 108]', '[1944, 216, -9*w + 36]', '[1944, 324, 6*w + 54]', '[1944, 324, 6*w + 102]', '[1944, 324, 6*w + 216]', '[1944, 324, -6*w + 60]', '[1944, 648, -15*w + 108]', '[1944, 648, 3*w + 132]', '[1944, 648, 3*w + 513]', '[1944, 648, 15*w + 93]', '[1944, 972, 2*w + 88]', '[1944, 972, -10*w - 36]', '[1944, 972, -10*w + 46]', '[1944, 972, 2*w + 882]', '[1944, 1944, w + 44]', '[1944, 1944, w + 684]', '[1944, 1944, w + 1259]', '[1944, 1944, -w + 45]', '[1949, 1949, w + 88]', '[1949, 1949, w + 1860]', '[1956, 978, 16*w - 114]', '[1956, 978, 2*w + 216]', '[1956, 978, 2*w + 760]', '[1956, 978, -16*w - 98]', '[1956, 1956, 17*w - 120]', '[1956, 1956, 5*w - 56]', '[1956, 1956, w + 543]', '[1956, 1956, w + 923]', '[1956, 1956, w + 1032]', '[1956, 1956, w + 1412]', '[1956, 1956, -5*w - 51]', '[1956, 1956, -17*w - 103]', '[1959, 1959, 8*w - 23]', '[1959, 1959, w + 410]', '[1959, 1959, w + 1548]', '[1959, 1959, -8*w - 15]', '[1960, 140, 14*w + 28]', '[1960, 140, 14*w + 98]', '[1960, 280, 7*w + 84]', '[1960, 280, 7*w + 189]', '[1962, 654, 3*w + 153]', '[1962, 654, 3*w + 171]', '[1962, 654, 3*w + 480]', '[1962, 654, 3*w + 498]', '[1962, 1962, w + 269]', '[1962, 1962, w + 378]', '[1962, 1962, w + 602]', '[1962, 1962, w + 711]', '[1962, 1962, w + 1250]', '[1962, 1962, w + 1359]', '[1962, 1962, w + 1583]', '[1962, 1962, w + 1692]', '[1966, 1966, 27*w + 155]', '[1966, 1966, w + 685]', '[1966, 1966, w + 1280]', '[1966, 1966, 27*w - 182]', '[1971, 657, 12*w + 51]', '[1971, 657, 3*w + 258]', '[1971, 657, 3*w + 396]', '[1971, 657, 12*w - 63]', '[1971, 1971, w + 935]', '[1971, 1971, 2*w - 47]', '[1971, 1971, -2*w - 45]', '[1971, 1971, w + 1035]', '[1972, 986, 2*w + 376]', '[1972, 986, 2*w + 608]', '[1972, 1972, w + 188]', '[1972, 1972, w + 304]', '[1972, 1972, w + 1667]', '[1972, 1972, w + 1783]', '[1979, 1979, w + 922]', '[1979, 1979, w + 1056]', '[1982, 1982, w + 308]', '[1982, 1982, w + 682]', '[1982, 1982, w + 1299]', '[1982, 1982, w + 1673]', '[1983, 1983, w + 422]', '[1983, 1983, w + 899]', '[1983, 1983, w + 1083]', '[1983, 1983, w + 1560]', '[1987, 1987, w + 756]', '[1987, 1987, w + 1230]', '[1990, 1990, w + 77]', '[1990, 1990, w + 917]', '[1990, 1990, w + 1072]', '[1990, 1990, w + 1912]', '[1993, 1993, w + 189]', '[1993, 1993, w + 1803]', '[1994, 1994, w + 470]', '[1994, 1994, 15*w - 86]', '[1994, 1994, 15*w + 71]', '[1994, 1994, w + 1523]', '[1996, 998, 8*w - 22]', '[1996, 998, -8*w - 14]', '[1996, 1996, w + 376]', '[1996, 1996, w + 875]', '[1996, 1996, w + 1120]', '[1996, 1996, w + 1619]', '[1998, 666, 3*w + 78]', '[1998, 666, 3*w + 141]', '[1998, 666, 3*w + 189]', '[1998, 666, 3*w + 252]', '[1998, 666, 3*w + 411]', '[1998, 666, 3*w + 474]', '[1998, 666, 3*w + 522]', '[1998, 666, 3*w + 585]', '[1998, 1998, w + 63]', '[1998, 1998, w + 306]', '[1998, 1998, w + 692]', '[1998, 1998, w + 935]', '[1998, 1998, w + 1062]', '[1998, 1998, w + 1305]', '[1998, 1998, w + 1691]', '[1998, 1998, w + 1934]', '[2000, 100, 20*w + 40]', '[2000, 200, 10*w + 70]', '[2000, 200, -10*w + 80]', '[2000, 400, 5*w + 135]', '[2000, 400, 5*w + 260]', '[2003, 2003, w + 544]', '[2003, 2003, w + 1458]', '[2005, 2005, -12*w - 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150]', '[9924, 4962, 2*w + 4380]', '[9924, 9924, w + 536]', '[9924, 9924, w + 1944]', '[9924, 9924, 61*w + 323]', '[9924, 9924, 17*w + 15]', '[9924, 9924, 17*w - 32]', '[9924, 9924, 61*w - 384]', '[9924, 9924, w + 7979]', '[9924, 9924, w + 9387]', '[9928, 4964, 2*w + 172]', '[9928, 4964, 2*w + 410]', '[9928, 4964, 2*w + 2070]', '[9928, 4964, 2*w + 2308]', '[9928, 4964, 2*w + 2654]', '[9928, 4964, 2*w + 2892]', '[9928, 4964, 2*w + 4552]', '[9928, 4964, 2*w + 4790]', '[9928, 9928, w + 1035]', '[9928, 9928, w + 2276]', '[9928, 9928, w + 2395]', '[9928, 9928, w + 3636]', '[9928, 9928, w + 6291]', '[9928, 9928, w + 7532]', '[9928, 9928, w + 7651]', '[9928, 9928, w + 8892]', '[9931, 9931, 6*w - 109]', '[9931, 9931, -6*w - 103]', '[9934, 9934, 15*w + 127]', '[9934, 9934, w + 3633]', '[9934, 9934, w + 6300]', '[9934, 9934, 15*w - 142]', '[9935, 9935, w + 3217]', '[9935, 9935, w + 6717]', '[9941, 9941, w + 199]', '[9941, 9941, w + 9741]', '[9946, 9946, 9*w - 118]', '[9946, 9946, w + 3880]', '[9946, 9946, w + 6065]', '[9946, 9946, -9*w - 109]', '[9950, 1990, 5*w + 385]', '[9950, 1990, 5*w + 605]', '[9950, 1990, 5*w + 1380]', '[9950, 1990, 5*w + 1600]', '[9957, 9957, w + 564]', '[9957, 9957, w + 2754]', '[9957, 9957, w + 7202]', '[9957, 9957, w + 9392]', '[9962, 9962, w + 423]', '[9962, 9962, w + 1888]', '[9962, 9962, w + 3092]', '[9962, 9962, w + 4557]', '[9962, 9962, w + 5404]', '[9962, 9962, w + 6869]', '[9962, 9962, w + 8073]', '[9962, 9962, w + 9538]', '[9965, 9965, w + 2182]', '[9965, 9965, w + 7782]', '[9969, 9969, 50*w - 309]', '[9969, 9969, w + 4458]', '[9969, 9969, w + 5510]', '[9969, 9969, 50*w + 259]', '[9970, 9970, w + 1467]', '[9970, 9970, 17*w - 31]', '[9970, 9970, 17*w + 14]', '[9970, 9970, w + 8502]', '[9971, 767, 13*w + 208]', '[9971, 767, 13*w + 546]', '[9973, 9973, w + 1474]', '[9973, 9973, w + 8498]', '[9976, 4988, 22*w - 98]', '[9976, 4988, 2*w + 1594]', '[9976, 4988, 2*w + 3392]', '[9976, 4988, -22*w - 76]', '[9976, 9976, w + 2044]', '[9976, 9976, -3*w + 103]', '[9976, 9976, -3*w - 100]', '[9976, 9976, w + 7931]', '[9978, 9978, w + 1547]', '[9978, 9978, w + 1778]', '[9978, 9978, w + 3210]', '[9978, 9978, w + 3441]', '[9978, 9978, w + 6536]', '[9978, 9978, w + 6767]', '[9978, 9978, w + 8199]', '[9978, 9978, w + 8430]', '[9980, 4990, 2*w + 244]', '[9980, 4990, 2*w + 4744]', '[9980, 9980, -21*w + 88]', '[9980, 9980, -39*w - 193]', '[9980, 9980, 39*w - 232]', '[9980, 9980, 21*w + 67]', '[9981, 3327, 18*w - 51]', '[9981, 3327, -18*w - 33]', '[9981, 9981, w + 926]', '[9981, 9981, w + 3509]', '[9981, 9981, w + 6471]', '[9981, 9981, w + 9054]', '[9987, 9987, w + 1968]', '[9987, 9987, w + 4689]', '[9987, 9987, w + 5297]', '[9987, 9987, w + 8018]', '[9990, 3330, 3*w + 141]', '[9990, 3330, 3*w + 411]', '[9990, 3330, 3*w + 1251]', '[9990, 3330, 3*w + 1521]', '[9990, 3330, 3*w + 1806]', '[9990, 3330, 3*w + 2076]', '[9990, 3330, 3*w + 2916]', '[9990, 3330, 3*w + 3186]', '[9990, 9990, w + 692]', '[9990, 9990, w + 1062]', '[9990, 9990, w + 3932]', '[9990, 9990, w + 4302]', '[9990, 9990, w + 5687]', '[9990, 9990, w + 6057]', '[9990, 9990, w + 8927]', '[9990, 9990, w + 9297]', '[9993, 9993, w + 141]', '[9993, 9993, w + 3189]', '[9993, 9993, w + 6803]', '[9993, 9993, w + 9851]', '[9996, 714, 14*w + 210]', '[9996, 714, -28*w + 210]', '[9996, 714, 28*w + 182]', '[9996, 714, 14*w + 490]', '[9996, 1428, 7*w + 105]', '[9996, 1428, 7*w + 224]', '[9996, 1428, -35*w + 203]', '[9996, 1428, 7*w + 581]', '[9996, 1428, 7*w + 840]', '[9996, 1428, -35*w - 168]', '[9996, 1428, 7*w + 1197]', '[9996, 1428, -7*w + 112]', '[10000, 100, 100]', '[10000, 200, 50*w]', '[10000, 200, 50*w + 150]', '[10000, 400, -25*w - 100]', '[10000, 400, -25*w + 125]'], 'label': '2.2.145.1', 'narrow_class_no': 4, 'primes': ['[2, 2, w]', '[2, 2, w + 1]', '[3, 3, w]', '[3, 3, w + 2]', '[5, 5, w + 2]', '[17, 17, w + 1]', '[17, 17, w + 15]', '[29, 29, w + 14]', '[37, 37, w + 10]', '[37, 37, w + 26]', '[43, 43, w + 19]', '[43, 43, w + 23]', '[47, 47, w + 22]', '[47, 47, w + 24]', '[49, 7, -7]', '[59, 59, w + 16]', '[59, 59, w + 42]', '[71, 71, w + 21]', '[71, 71, w + 49]', '[73, 73, w + 13]', '[73, 73, w + 59]', '[97, 97, w + 28]', '[97, 97, w + 68]', '[109, 109, 2*w - 7]', '[109, 109, -2*w - 5]', '[113, 113, w + 45]', '[113, 113, w + 67]', '[121, 11, -11]', '[127, 127, w + 39]', '[127, 127, w + 87]', '[137, 137, w + 37]', '[137, 137, w + 99]', '[139, 139, 4*w - 23]', '[139, 139, 4*w + 19]', '[149, 149, 6*w + 31]', '[149, 149, 6*w - 37]', '[151, 151, w + 60]', '[151, 151, w + 90]', '[157, 157, w + 53]', '[157, 157, w + 103]', '[163, 163, w + 54]', '[163, 163, w + 108]', '[169, 13, -13]', '[179, 179, 2*w - 19]', '[179, 179, -2*w - 17]', '[181, 181, w + 33]', '[181, 181, w + 147]', '[193, 193, w + 48]', '[193, 193, w + 144]', '[199, 199, w + 77]', '[199, 199, w + 121]', '[239, 239, w + 31]', '[239, 239, w + 207]', '[241, 241, w + 38]', '[241, 241, w + 202]', '[263, 263, w + 56]', '[263, 263, w + 206]', '[281, 281, 6*w - 35]', '[281, 281, 6*w + 29]', '[293, 293, w + 130]', '[293, 293, w + 162]', '[307, 307, w + 25]', '[307, 307, w + 281]', '[317, 317, w + 123]', '[317, 317, w + 193]', '[337, 337, w + 151]', '[337, 337, w + 185]', '[349, 349, w + 102]', '[349, 349, w + 246]', '[361, 19, -19]', '[367, 367, w + 81]', '[367, 367, w + 285]', '[401, 401, w + 40]', '[401, 401, w + 360]', '[419, 419, w + 50]', '[419, 419, w + 368]', '[431, 431, 2*w - 25]', '[431, 431, -2*w - 23]', '[433, 433, w + 197]', '[433, 433, w + 235]', '[439, 439, w + 187]', '[439, 439, w + 251]', '[443, 443, w + 89]', '[443, 443, w + 353]', '[467, 467, w + 167]', '[467, 467, w + 299]', '[499, 499, 4*w - 11]', '[499, 499, -4*w - 7]', '[503, 503, w + 155]', '[503, 503, w + 347]', '[509, 509, -4*w - 31]', '[509, 509, 4*w - 35]', '[521, 521, -6*w - 25]', '[521, 521, 6*w - 31]', '[529, 23, -23]', '[563, 563, w + 164]', '[563, 563, w + 398]', '[571, 571, -4*w - 1]', '[571, 571, 4*w - 5]', '[577, 577, w + 34]', '[577, 577, w + 542]', '[607, 607, w + 139]', '[607, 607, w + 467]', '[617, 617, w + 192]', '[617, 617, w + 424]', '[631, 631, 6*w + 41]', '[631, 631, -6*w + 47]', '[653, 653, w + 242]', '[653, 653, w + 410]', '[661, 661, w + 238]', '[661, 661, w + 422]', '[677, 677, w + 82]', '[677, 677, w + 594]', '[691, 691, w + 315]', '[691, 691, w + 375]', '[701, 701, w + 154]', '[701, 701, w + 546]', '[709, 709, 10*w - 59]', '[709, 709, 10*w + 49]', '[719, 719, w + 131]', '[719, 719, w + 587]', '[727, 727, w + 76]', '[727, 727, w + 650]', '[733, 733, w + 273]', '[733, 733, w + 459]', '[743, 743, w + 172]', '[743, 743, w + 570]', '[757, 757, w + 95]', '[757, 757, w + 661]', '[761, 761, w + 55]', '[761, 761, w + 705]', '[773, 773, w + 96]', '[773, 773, w + 676]', '[797, 797, w + 343]', '[797, 797, w + 453]', '[811, 811, 6*w - 49]', '[811, 811, -6*w - 43]', '[821, 821, -6*w - 19]', '[821, 821, 6*w - 25]', '[823, 823, w + 243]', '[823, 823, w + 579]', '[827, 827, w + 290]', '[827, 827, w + 536]', '[853, 853, w + 400]', '[853, 853, w + 452]', '[887, 887, w + 126]', '[887, 887, w + 760]', '[907, 907, w + 104]', '[907, 907, w + 802]', '[919, 919, w + 74]', '[919, 919, w + 844]', '[929, 929, 8*w + 53]', '[929, 929, 8*w - 61]', '[941, 941, 4*w - 41]', '[941, 941, -4*w - 37]', '[947, 947, w + 97]', '[947, 947, w + 849]', '[961, 31, -31]', '[967, 967, w + 256]', '[967, 967, w + 710]', '[983, 983, w + 297]', '[983, 983, w + 685]', '[991, 991, w + 308]', '[991, 991, w + 682]', '[997, 997, w + 470]', '[997, 997, w + 526]']}
• 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
  relative_class_number	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': [4], 'class_number': 4, 'cm': False, 'coeffs': [-36, -1, 1], 'conductor': 145, 'degree': 2, 'dirichlet_group': [1, 144], 'disc_abs': 145, 'disc_rad': 145, 'disc_sign': 1, 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [0]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [0]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [1, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 12.041594578792296, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.145.1', 'local_algs': ['5.2.1.1', '29.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [5, 29], 'rd': 12.0415945788, 'regulator': {'__RealLiteral__': 0, 'data': '3.1797854377', 'prec': 40}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a + 11 \\)'], 'used_grh': False, 'zk': ['1', 'a']}