Hilbert modular form data - 2.2.152.1-38.1-b

Formats: - HTML - YAML - JSON - 2023-10-04T19:35:03.054406

• 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': 152, 'field_bad_primes': [2, 19], 'field_label': '2.2.152.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.152.1-38.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2, 19], 'level_ideal': '[38, 38, w]', 'level_label': '38.1', 'level_norm': 38, 'parallel_weight': 2, 'short_label': '38.1-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w - 6]', -1], ['[19, 19, -3*w + 19]', -1]], 'hecke_eigenvalues': [1, -5, -6, -6, -5, -5, 3, 3, 1, -10, -9, -9, 4, 4, -2, -2, 8, 8, -13, 3, 3, 6, 6, -7, -7, 10, 10, -6, -6, -14, -14, -11, -11, -2, -2, 0, 0, -9, -9, -4, -4, 10, 10, 20, 20, -12, -12, -6, -6, -2, -2, -26, -26, -6, -6, 6, 6, 6, 6, -22, -22, 21, 21, -19, -19, 9, 9, 18, 18, -15, -15, -23, -23, -18, -18, -12, -12, -17, -17, -6, -6, 28, 28, -18, -18, 17, 17, 18, 18, -2, -2, -36, -36, -4, -4, -30, -30, -37, -4, -4, 11, 11, -12, -12, -30, -30, 24, 24, 22, 22, -6, -6, -10, -10, -22, -22, 13, 13, 33, 33, -10, -10, -16, -16, 36, 36, 40, 40, -21, -21, 5, 5, -51, -51, 39, 39, 9, 9, -11, -11, 48, 48, 14, 14, 18, 18, -23, -23, -18, -18, -34, -34, 42, 42, -48, -48, 33, 33, -7, -7, -21, -21, -48, -48, 30, 30, -20, -20], 'hecke_polynomial': 'x', 'label': '2.2.152.1-38.1-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 152, 'ideals': ['[1, 1, 1]', '[2, 2, w - 6]', '[4, 2, 2]', '[8, 4, 2*w - 12]', '[9, 3, 3]', '[11, 11, -w + 7]', '[11, 11, w + 7]', '[13, 13, -w - 5]', '[13, 13, w - 5]', '[16, 4, 4]', '[17, 17, -2*w + 13]', '[17, 17, -2*w - 13]', '[18, 6, 3*w - 18]', '[19, 19, -3*w + 19]', '[22, 22, w + 4]', '[22, 22, w - 4]', '[25, 5, 5]', '[26, 26, w + 8]', '[26, 26, w - 8]', '[29, 29, -w - 3]', '[29, 29, w - 3]', '[31, 31, -2*w + 11]', '[31, 31, -8*w + 49]', '[32, 8, 4*w - 24]', '[34, 34, w + 2]', '[34, 34, -w + 2]', '[36, 6, 6]', '[37, 37, -w - 1]', '[37, 37, w - 1]', '[38, 38, w]', '[43, 43, -w - 9]', '[43, 43, w - 9]', '[44, 22, -2*w + 14]', '[44, 22, 2*w + 14]', '[49, 7, -7]', '[50, 10, 5*w - 30]', '[52, 26, -2*w - 10]', '[52, 26, 2*w - 10]', '[53, 53, -3*w + 17]', '[53, 53, -9*w + 55]', '[58, 58, -9*w + 56]', '[58, 58, 3*w - 20]', '[62, 62, -w - 10]', '[62, 62, w - 10]', '[64, 8, 8]', '[68, 34, -4*w + 26]', '[68, 34, -4*w - 26]', '[71, 71, 2*w - 9]', '[71, 71, -2*w - 9]', '[72, 12, 6*w - 36]', '[73, 73, 2*w - 15]', '[73, 73, -2*w - 15]', '[74, 74, -7*w + 44]', '[74, 74, 5*w - 32]', '[76, 38, -6*w + 38]', '[79, 79, -4*w + 23]', '[79, 79, -10*w + 61]', '[81, 9, 9]', '[83, 83, -w - 11]', '[83, 83, w - 11]', '[86, 86, -15*w + 92]', '[86, 86, -3*w + 16]', '[88, 44, 2*w + 8]', '[88, 44, 2*w - 8]', '[98, 14, -7*w + 42]', '[99, 33, -3*w + 21]', '[99, 33, 3*w + 21]', '[100, 10, 10]', '[103, 103, 2*w - 7]', '[103, 103, -2*w - 7]', '[104, 52, 2*w + 16]', '[104, 52, 2*w - 16]', '[106, 106, -w - 12]', '[106, 106, w - 12]', '[109, 109, -5*w + 29]', '[109, 109, -11*w + 67]', '[116, 58, -2*w - 6]', '[116, 58, 2*w - 6]', '[117, 39, -3*w - 15]', '[117, 39, 3*w - 15]', '[121, 11, 11]', '[121, 121, 4*w + 27]', '[121, 121, -4*w + 27]', '[124, 62, -4*w + 22]', '[124, 62, -16*w + 98]', '[127, 127, 2*w - 5]', '[127, 127, -2*w - 5]', '[128, 16, 8*w - 48]', '[131, 131, -w - 13]', '[131, 131, w - 13]', '[136, 68, 2*w + 4]', '[136, 68, -2*w + 4]', '[137, 137, 2*w - 17]', '[137, 137, -2*w - 17]', '[139, 139, 5*w - 33]', '[139, 139, -13*w + 81]', '[142, 142, 3*w - 22]', '[142, 142, -21*w + 130]', '[143, 143, -6*w + 35]', '[143, 143, -2*w + 3]', '[143, 143, 2*w + 3]', '[143, 143, 6*w + 35]', '[144, 12, 12]', '[146, 146, -3*w + 14]', '[146, 146, -27*w + 166]', '[148, 74, -2*w - 2]', '[148, 74, 2*w - 2]', '[151, 151, 2*w - 1]', '[151, 151, -2*w - 1]', '[152, 76, 2*w]', '[153, 51, -6*w + 39]', '[153, 51, -6*w - 39]', '[158, 158, -w - 14]', '[158, 158, w - 14]', '[162, 18, 9*w - 54]', '[163, 163, -11*w + 69]', '[163, 163, 7*w - 45]', '[166, 166, -17*w + 104]', '[166, 166, -5*w + 28]', '[167, 167, 4*w + 21]', '[167, 167, -4*w + 21]', '[169, 13, 13]', '[169, 169, -8*w + 51]', '[169, 169, 8*w + 51]', '[171, 57, -9*w + 57]', '[172, 86, -2*w - 18]', '[172, 86, 2*w - 18]', '[173, 173, -3*w - 13]', '[173, 173, 3*w - 13]', '[176, 44, -4*w + 28]', '[176, 44, 4*w + 28]', '[181, 181, -7*w + 41]', '[181, 181, -13*w + 79]', '[187, 187, -w - 15]', '[187, 187, 3*w + 23]', '[187, 187, 3*w - 23]', '[187, 187, -w + 15]', '[196, 14, -14]', '[198, 66, 3*w + 12]', '[198, 66, 3*w - 12]', '[200, 20, 10*w - 60]', '[206, 206, -19*w + 118]', '[206, 206, 5*w - 34]', '[208, 52, -4*w - 20]', '[208, 52, 4*w - 20]', '[209, 209, -2*w + 19]', '[209, 209, 2*w + 19]', '[212, 106, -6*w + 34]', '[212, 106, -18*w + 110]', '[218, 218, -w - 16]', '[218, 218, w - 16]', '[221, 221, -3*w + 11]', '[221, 221, 5*w - 27]', '[221, 221, 5*w + 27]', '[221, 221, -3*w - 11]', '[223, 223, -8*w + 47]', '[223, 223, -14*w + 85]', '[225, 15, 15]', '[232, 116, -18*w + 112]', '[232, 116, 6*w - 40]', '[233, 233, 4*w - 29]', '[233, 233, -4*w - 29]', '[234, 78, 3*w + 24]', '[234, 78, 3*w - 24]', '[242, 22, 11*w - 66]', '[242, 242, 3*w + 10]', '[242, 242, 3*w - 10]', '[247, 247, -4*w + 19]', '[247, 247, 4*w + 19]', '[248, 124, -2*w - 20]', '[248, 124, 2*w - 20]', '[251, 251, -w - 17]', '[251, 251, w - 17]', '[254, 254, 7*w - 46]', '[254, 254, -17*w + 106]', '[256, 16, 16]', '[261, 87, -3*w - 9]', '[261, 87, 3*w - 9]', '[262, 262, -19*w + 116]', '[262, 262, -7*w + 40]', '[269, 269, -9*w + 53]', '[269, 269, -15*w + 91]', '[272, 68, -8*w + 52]', '[272, 68, -8*w - 52]', '[274, 274, -29*w + 178]', '[274, 274, -5*w + 26]', '[275, 55, -5*w + 35]', '[275, 55, 5*w + 35]', '[278, 278, 3*w - 8]', '[278, 278, -3*w - 8]', '[279, 93, -6*w + 33]', '[279, 93, -24*w + 147]', '[283, 283, 3*w - 25]', '[283, 283, -3*w - 25]', '[284, 142, 4*w - 18]', '[284, 142, -4*w - 18]', '[286, 286, -w - 18]', '[286, 286, -9*w - 58]', '[286, 286, -9*w + 58]', '[286, 286, -w + 18]', '[288, 24, 12*w - 72]', '[289, 17, 17]', '[289, 289, -2*w + 21]', '[289, 289, 2*w + 21]', '[292, 146, 4*w - 30]', '[292, 146, -4*w - 30]', '[293, 293, -3*w - 7]', '[293, 293, 3*w - 7]', '[296, 148, -14*w + 88]', '[296, 148, 10*w - 64]', '[302, 302, 11*w - 70]', '[302, 302, -13*w + 82]', '[304, 76, -12*w + 76]', '[306, 102, 3*w + 6]', '[306, 102, -3*w + 6]', '[313, 313, -24*w + 149]', '[313, 313, 6*w - 41]', '[316, 158, -8*w + 46]', '[316, 158, -20*w + 122]', '[317, 317, 3*w - 5]', '[317, 317, -3*w - 5]', '[319, 319, 10*w - 59]', '[319, 319, 4*w + 17]', '[319, 319, -4*w + 17]', '[319, 319, -10*w - 59]', '[323, 323, w + 19]', '[323, 323, w - 19]', '[324, 18, 18]', '[325, 65, -5*w - 25]', '[325, 65, 5*w - 25]', '[326, 326, -3*w - 4]', '[326, 326, 3*w - 4]', '[332, 166, -2*w - 22]', '[332, 166, 2*w - 22]', '[333, 111, -3*w - 3]', '[333, 111, 3*w - 3]', '[334, 334, 45*w - 278]', '[334, 334, -3*w + 26]', '[338, 26, -13*w + 78]', '[338, 338, 3*w - 2]', '[338, 338, 3*w + 2]', '[341, 341, -7*w - 39]', '[341, 341, -3*w - 1]', '[341, 341, -3*w + 1]', '[341, 341, -7*w + 39]', '[342, 114, 3*w]', '[344, 172, -30*w + 184]', '[344, 172, -6*w + 32]', '[346, 346, 5*w - 36]', '[346, 346, -31*w + 192]', '[347, 347, 7*w - 47]', '[347, 347, -23*w + 143]', '[352, 88, 4*w + 16]', '[352, 88, 4*w - 16]', '[353, 353, -4*w - 31]', '[353, 353, 4*w - 31]', '[361, 19, 19]', '[362, 362, -w - 20]', '[362, 362, w - 20]', '[373, 373, -11*w + 65]', '[373, 373, -17*w + 103]', '[374, 374, 5*w - 24]', '[374, 374, 9*w + 52]', '[374, 374, -9*w + 52]', '[374, 374, -5*w - 24]', '[377, 377, 8*w + 53]', '[377, 377, 2*w - 23]', '[377, 377, -2*w - 23]', '[377, 377, -8*w + 53]', '[383, 383, 4*w - 15]', '[383, 383, -4*w - 15]', '[387, 129, -3*w - 27]', '[387, 129, 3*w - 27]', '[392, 28, -14*w + 84]', '[396, 66, -6*w + 42]', '[396, 66, 6*w + 42]', '[400, 20, 20]', '[403, 403, -w - 21]', '[403, 403, -9*w + 59]', '[403, 403, -9*w - 59]', '[403, 403, -w + 21]', '[407, 407, 6*w + 31]', '[407, 407, 8*w - 45]', '[407, 407, -8*w - 45]', '[407, 407, -6*w + 31]', '[412, 206, 4*w - 14]', '[412, 206, -4*w - 14]', '[416, 104, 4*w + 32]', '[416, 104, 4*w - 32]', '[418, 418, 7*w - 38]', '[418, 418, 7*w + 38]', '[419, 419, 37*w - 229]', '[419, 419, -5*w + 37]', '[421, 421, -5*w - 23]', '[421, 421, 5*w - 23]', '[424, 212, -2*w - 24]', '[424, 212, 2*w - 24]', '[425, 85, -10*w + 65]', '[425, 85, -10*w - 65]', '[431, 431, -12*w + 71]', '[431, 431, -18*w + 109]', '[436, 218, -10*w + 58]', '[436, 218, -22*w + 134]', '[439, 439, -4*w - 13]', '[439, 439, 4*w - 13]', '[441, 21, -21]', '[442, 442, -7*w - 48]', '[442, 442, -3*w + 28]', '[442, 442, 3*w + 28]', '[442, 442, 7*w - 48]', '[443, 443, -19*w + 119]', '[443, 443, 11*w - 71]', '[446, 446, -w - 22]', '[446, 446, w - 22]', '[450, 30, 15*w - 90]', '[457, 457, 12*w - 77]', '[457, 457, -18*w + 113]', '[464, 116, -4*w - 12]', '[464, 116, 4*w - 12]', '[466, 466, -5*w + 22]', '[466, 466, -53*w + 326]', '[467, 467, -17*w + 107]', '[467, 467, 13*w - 83]', '[468, 78, -6*w - 30]', '[468, 78, 6*w - 30]', '[473, 473, -16*w - 101]', '[473, 473, 2*w - 25]', '[473, 473, -2*w - 25]', '[473, 473, 16*w - 101]', '[475, 95, -15*w + 95]', '[477, 159, -9*w + 51]', '[477, 159, -27*w + 165]', '[481, 481, -6*w + 43]', '[481, 481, 4*w - 33]', '[481, 481, -4*w - 33]', '[481, 481, 6*w + 43]', '[484, 22, 22]', '[484, 242, 8*w + 54]', '[484, 242, -8*w + 54]', '[487, 487, 4*w - 11]', '[487, 487, -4*w - 11]', '[491, 491, -w - 23]', '[491, 491, w - 23]', '[493, 493, 19*w + 115]', '[493, 493, -7*w + 37]', '[493, 493, -7*w - 37]', '[493, 493, 19*w - 115]', '[494, 494, -5*w + 38]', '[494, 494, -5*w - 38]', '[496, 124, -8*w + 44]', '[496, 124, -32*w + 196]', '[499, 499, -3*w - 29]', '[499, 499, 3*w - 29]', '[502, 502, -23*w + 140]', '[502, 502, -11*w + 64]', '[508, 254, 4*w - 10]', '[508, 254, -4*w - 10]', '[509, 509, -5*w - 21]', '[509, 509, 5*w - 21]', '[512, 32, 16*w - 96]', '[522, 174, -27*w + 168]', '[522, 174, 9*w - 60]', '[524, 262, -2*w - 26]', '[524, 262, 2*w - 26]', '[527, 527, 6*w - 29]', '[527, 527, 4*w + 9]', '[527, 527, -4*w + 9]', '[527, 527, -6*w - 29]', '[529, 23, -23]', '[538, 538, -w - 24]', '[538, 538, w - 24]', '[539, 77, 7*w - 49]', '[539, 77, -7*w - 49]', '[544, 136, 4*w + 8]', '[544, 136, -4*w + 8]', '[548, 274, 4*w - 34]', '[548, 274, -4*w - 34]', '[550, 110, 5*w + 20]', '[550, 110, 5*w - 20]', '[551, 551, 28*w - 171]', '[551, 551, -10*w + 57]', '[556, 278, 10*w - 66]', '[556, 278, -26*w + 162]', '[558, 186, -3*w - 30]', '[558, 186, 3*w - 30]', '[559, 559, -14*w + 83]', '[559, 559, -4*w + 7]', '[559, 559, 4*w + 7]', '[559, 559, 14*w + 83]', '[566, 566, -43*w + 264]', '[566, 566, -7*w + 36]', '[568, 284, 6*w - 44]', '[568, 284, -42*w + 260]', '[571, 571, -5*w - 39]', '[571, 571, 5*w - 39]', '[572, 286, -12*w + 70]', '[572, 286, -4*w + 6]', '[572, 286, 4*w + 6]', '[572, 286, 12*w + 70]', '[576, 24, 24]', '[577, 577, 2*w - 27]', '[577, 577, -2*w - 27]', '[578, 34, -17*w + 102]', '[578, 578, 9*w + 50]', '[578, 578, 9*w - 50]', '[583, 583, -4*w - 5]', '[583, 583, -8*w - 43]', '[583, 583, -8*w + 43]', '[583, 583, -4*w + 5]', '[584, 292, -6*w + 28]', '[584, 292, -54*w + 332]', '[586, 586, 11*w - 72]', '[586, 586, -25*w + 156]', '[587, 587, -w - 25]', '[587, 587, w - 25]', '[589, 589, -5*w + 19]', '[589, 589, -5*w - 19]', '[592, 148, -4*w - 4]', '[592, 148, 4*w - 4]', '[593, 593, -34*w + 211]', '[593, 593, 8*w - 55]', '[599, 599, 4*w - 3]', '[599, 599, -4*w - 3]', '[604, 302, 4*w - 2]', '[604, 302, -4*w - 2]', '[607, 607, -4*w - 1]', '[607, 607, 4*w - 1]', '[608, 152, 4*w]', '[612, 102, -12*w + 78]', '[612, 102, -12*w - 78]', '[617, 617, -4*w - 35]', '[617, 617, 4*w - 35]', '[619, 619, 3*w - 31]', '[619, 619, -3*w - 31]', '[625, 25, 25]', '[626, 626, -5*w - 18]', '[626, 626, 5*w - 18]', '[629, 629, 15*w - 89]', '[629, 629, -11*w + 63]', '[629, 629, -11*w - 63]', '[629, 629, 15*w + 89]', '[632, 316, -2*w - 28]', '[632, 316, 2*w - 28]', '[634, 634, -23*w + 144]', '[634, 634, 13*w - 84]', '[637, 91, 7*w + 35]', '[637, 91, -7*w + 35]', '[638, 638, w + 26]', '[638, 638, -7*w + 50]', '[638, 638, -7*w - 50]', '[638, 638, w - 26]', '[639, 213, 6*w - 27]', '[639, 213, -6*w - 27]', '[643, 643, 9*w - 61]', '[643, 643, -33*w + 205]', '[646, 646, -13*w - 76]', '[646, 646, 13*w - 76]', '[648, 36, 18*w - 108]', '[650, 130, 5*w + 40]', '[650, 130, 5*w - 40]', '[652, 326, -22*w + 138]', '[652, 326, 14*w - 90]', '[657, 219, 6*w - 45]', '[657, 219, -6*w - 45]', '[661, 661, 5*w - 17]', '[661, 661, -5*w - 17]', '[664, 332, -34*w + 208]', '[664, 332, -10*w + 56]', '[666, 222, -21*w + 132]', '[666, 222, 15*w - 96]', '[668, 334, 8*w + 42]', '[668, 334, -8*w + 42]', '[676, 26, 26]', '[676, 338, -16*w + 102]', '[676, 338, 16*w + 102]', '[677, 677, -9*w + 49]', '[677, 677, -39*w + 239]', '[682, 682, 17*w - 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359]', '[9713, 9713, -14*w - 131]', '[9719, 9719, 16*w - 3]', '[9719, 9719, -16*w - 3]', '[9724, 4862, -64*w + 382]', '[9724, 4862, 16*w + 2]', '[9724, 4862, 40*w - 226]', '[9724, 4862, -20*w - 74]', '[9724, 4862, -20*w + 74]', '[9724, 4862, 40*w + 226]', '[9724, 4862, 16*w - 2]', '[9724, 4862, -64*w - 382]', '[9727, 9727, -16*w - 1]', '[9727, 9727, -52*w + 305]', '[9727, 9727, -94*w + 571]', '[9727, 9727, 16*w - 1]', '[9728, 608, 16*w]', '[9736, 4868, -98*w + 596]', '[9736, 4868, -50*w + 292]', '[9739, 9739, 173*w - 1071]', '[9739, 9739, -25*w + 183]', '[9743, 9743, -22*w - 93]', '[9743, 9743, 22*w - 93]', '[9746, 9746, -27*w + 134]', '[9746, 9746, 43*w - 246]', '[9746, 9746, -43*w - 246]', '[9746, 9746, 27*w + 134]', '[9749, 9749, 19*w - 63]', '[9749, 9749, -19*w - 63]', '[9754, 9754, -17*w - 144]', '[9754, 9754, 17*w - 144]', '[9757, 9757, -17*w - 35]', '[9757, 9757, -29*w + 149]', '[9757, 9757, -29*w - 149]', '[9757, 9757, -17*w + 35]', '[9763, 9763, -w - 99]', '[9763, 9763, -57*w + 365]', '[9763, 9763, -57*w - 365]', '[9763, 9763, -w + 99]', '[9764, 4882, -20*w - 158]', '[9764, 4882, 20*w - 158]', '[9778, 9778, -59*w + 350]', '[9778, 9778, -83*w + 502]', '[9781, 9781, -67*w + 401]', '[9781, 9781, -73*w + 439]', '[9788, 4894, 24*w - 110]', '[9788, 4894, -24*w - 110]', '[9792, 408, -48*w + 312]', '[9792, 408, -48*w - 312]', '[9796, 4898, -24*w + 178]', '[9796, 4898, 4*w - 102]', '[9796, 4898, -4*w - 102]', '[9796, 4898, 180*w - 1114]', '[9800, 140, -70*w + 420]', '[9801, 99, 99]', '[9801, 1089, 36*w + 243]', '[9801, 1089, -36*w + 243]', '[9802, 754, 117*w - 728]', '[9802, 754, -39*w + 260]', '[9802, 9802, -11*w - 120]', '[9802, 9802, -7*w - 108]', '[9802, 9802, -7*w + 108]', '[9802, 9802, -11*w + 120]', '[9809, 9809, 80*w - 503]', '[9809, 9809, 28*w + 199]', '[9809, 9809, 28*w - 199]', '[9809, 9809, 80*w + 503]', '[9811, 9811, 21*w - 163]', '[9811, 9811, -21*w - 163]', '[9812, 4906, -18*w - 50]', '[9812, 4906, -26*w - 126]', '[9812, 4906, -26*w + 126]', '[9812, 4906, -18*w + 50]', '[9826, 578, -17*w - 34]', '[9826, 578, 17*w - 34]', '[9826, 9826, 25*w + 118]', '[9826, 9826, -25*w + 118]', '[9827, 9827, -23*w + 173]', '[9827, 9827, -107*w + 667]', '[9827, 9827, 43*w - 283]', '[9827, 9827, 187*w - 1157]', '[9832, 4916, -194*w + 1200]', '[9832, 4916, 22*w - 168]', '[9837, 3279, -129*w + 789]', '[9837, 3279, -39*w + 219]', '[9848, 4924, -2*w - 100]', '[9848, 4924, 2*w - 100]', '[9851, 9851, 59*w - 377]', '[9851, 9851, -79*w + 497]', '[9859, 9859, -3*w - 101]', '[9859, 9859, 3*w - 101]', '[9864, 1644, -174*w + 1068]', '[9864, 1644, -30*w + 156]', '[9866, 9866, -5*w - 104]', '[9866, 9866, 5*w - 104]', '[9868, 4934, -6*w - 106]', '[9868, 4934, 6*w - 106]', '[9869, 9869, 21*w - 83]', '[9869, 9869, -111*w + 677]', '[9869, 9869, -45*w + 259]', '[9869, 9869, -21*w - 83]', '[9871, 9871, 20*w - 73]', '[9871, 9871, -20*w - 73]', '[9872, 2468, -16*w - 140]', '[9872, 2468, 16*w - 140]', '[9874, 9874, -19*w - 62]', '[9874, 9874, 19*w - 62]', '[9886, 9886, -95*w + 594]', '[9886, 9886, 49*w - 318]', '[9889, 9889, -8*w - 111]', '[9889, 9889, 78*w - 491]', '[9889, 9889, 10*w - 117]', '[9889, 9889, -18*w - 149]', '[9889, 9889, -18*w + 149]', '[9889, 9889, 10*w + 117]', '[9889, 9889, -78*w - 491]', '[9889, 9889, 8*w - 111]', '[9893, 9893, -17*w + 33]', '[9893, 9893, -57*w + 337]', '[9893, 9893, 57*w + 337]', '[9893, 9893, 17*w + 33]', '[9896, 4948, -134*w + 832]', '[9896, 4948, 34*w - 232]', '[9900, 330, -30*w + 210]', '[9900, 330, 30*w + 210]', '[9901, 9901, 23*w - 101]', '[9901, 9901, -23*w - 101]', '[9904, 2476, 12*w - 124]', '[9904, 2476, -12*w - 124]', '[9911, 9911, -28*w - 141]', '[9911, 9911, -42*w + 239]', '[9911, 9911, -80*w - 483]', '[9911, 9911, 18*w + 49]', '[9911, 9911, -18*w + 49]', '[9911, 9911, 80*w - 483]', '[9911, 9911, 42*w + 239]', '[9911, 9911, 28*w - 141]', '[9918, 3306, -9*w - 114]', '[9918, 3306, -9*w + 114]', '[9923, 9923, 61*w - 389]', '[9923, 9923, -77*w + 485]', '[9928, 4964, -38*w - 212]', '[9928, 4964, -22*w + 92]', '[9928, 4964, 22*w + 92]', '[9928, 4964, 38*w - 212]', '[9929, 9929, -142*w + 881]', '[9929, 9929, 32*w - 221]', '[9934, 9934, 27*w - 194]', '[9934, 9934, -165*w + 1022]', '[9946, 9946, -15*w + 136]', '[9946, 9946, 261*w - 1612]', '[9949, 9949, 31*w + 163]', '[9949, 9949, -31*w + 163]', '[9953, 9953, -106*w + 661]', '[9953, 9953, 62*w - 395]', '[9953, 9953, -76*w + 479]', '[9953, 9953, 44*w - 289]', '[9956, 4978, 116*w - 722]', '[9956, 4978, 40*w - 266]', '[9958, 9958, -47*w - 272]', '[9958, 9958, 17*w + 32]', '[9958, 9958, 17*w - 32]', '[9958, 9958, -47*w + 272]', '[9962, 9962, w + 100]', '[9962, 9962, 13*w - 128]', '[9962, 9962, -13*w - 128]', '[9962, 9962, -w + 100]', '[9974, 9974, -91*w + 552]', '[9974, 9974, -55*w + 324]', '[9976, 4988, -94*w + 588]', '[9976, 4988, 274*w - 1692]', '[9976, 4988, -14*w + 132]', '[9976, 4988, 50*w - 324]', '[9979, 9979, 63*w - 401]', '[9979, 9979, 37*w - 249]', '[9979, 9979, 37*w + 249]', '[9979, 9979, 63*w + 401]', '[9997, 9997, 19*w + 61]', '[9997, 9997, -37*w - 205]', '[9997, 9997, -37*w + 205]', '[9997, 9997, 19*w - 61]', '[9998, 9998, -19*w - 154]', '[9998, 9998, 19*w - 154]', '[10000, 100, 100]'], 'label': '2.2.152.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w - 6]', '[9, 3, 3]', '[11, 11, -w + 7]', '[11, 11, w + 7]', '[13, 13, -w - 5]', '[13, 13, w - 5]', '[17, 17, -2*w + 13]', '[17, 17, -2*w - 13]', '[19, 19, -3*w + 19]', '[25, 5, 5]', '[29, 29, -w - 3]', '[29, 29, w - 3]', '[31, 31, -2*w + 11]', '[31, 31, -8*w + 49]', '[37, 37, -w - 1]', '[37, 37, w - 1]', '[43, 43, -w - 9]', '[43, 43, w - 9]', '[49, 7, -7]', '[53, 53, -3*w + 17]', '[53, 53, -9*w + 55]', '[71, 71, 2*w - 9]', '[71, 71, -2*w - 9]', '[73, 73, 2*w - 15]', '[73, 73, -2*w - 15]', '[79, 79, -4*w + 23]', '[79, 79, -10*w + 61]', '[83, 83, -w - 11]', '[83, 83, w - 11]', '[103, 103, 2*w - 7]', '[103, 103, -2*w - 7]', '[109, 109, -5*w + 29]', '[109, 109, -11*w + 67]', '[127, 127, 2*w - 5]', '[127, 127, -2*w - 5]', '[131, 131, -w - 13]', '[131, 131, w - 13]', '[137, 137, 2*w - 17]', '[137, 137, -2*w - 17]', '[139, 139, 5*w - 33]', '[139, 139, -13*w + 81]', '[151, 151, 2*w - 1]', '[151, 151, -2*w - 1]', '[163, 163, -11*w + 69]', '[163, 163, 7*w - 45]', '[167, 167, 4*w + 21]', '[167, 167, -4*w + 21]', '[173, 173, -3*w - 13]', '[173, 173, 3*w - 13]', '[181, 181, -7*w + 41]', '[181, 181, -13*w + 79]', '[223, 223, -8*w + 47]', '[223, 223, -14*w + 85]', '[233, 233, 4*w - 29]', '[233, 233, -4*w - 29]', '[251, 251, -w - 17]', '[251, 251, w - 17]', '[269, 269, -9*w + 53]', '[269, 269, -15*w + 91]', '[283, 283, 3*w - 25]', '[283, 283, -3*w - 25]', '[293, 293, -3*w - 7]', '[293, 293, 3*w - 7]', '[313, 313, -24*w + 149]', '[313, 313, 6*w - 41]', '[317, 317, 3*w - 5]', '[317, 317, -3*w - 5]', '[347, 347, 7*w - 47]', '[347, 347, -23*w + 143]', '[353, 353, -4*w - 31]', '[353, 353, 4*w - 31]', '[373, 373, -11*w + 65]', '[373, 373, -17*w + 103]', '[383, 383, 4*w - 15]', '[383, 383, -4*w - 15]', '[419, 419, 37*w - 229]', '[419, 419, -5*w + 37]', '[421, 421, -5*w - 23]', '[421, 421, 5*w - 23]', '[431, 431, -12*w + 71]', '[431, 431, -18*w + 109]', '[439, 439, -4*w - 13]', '[439, 439, 4*w - 13]', '[443, 443, -19*w + 119]', '[443, 443, 11*w - 71]', '[457, 457, 12*w - 77]', '[457, 457, -18*w + 113]', '[467, 467, -17*w + 107]', '[467, 467, 13*w - 83]', '[487, 487, 4*w - 11]', '[487, 487, -4*w - 11]', '[491, 491, -w - 23]', '[491, 491, w - 23]', '[499, 499, -3*w - 29]', '[499, 499, 3*w - 29]', '[509, 509, -5*w - 21]', '[509, 509, 5*w - 21]', '[529, 23, -23]', '[571, 571, -5*w - 39]', '[571, 571, 5*w - 39]', '[577, 577, 2*w - 27]', '[577, 577, -2*w - 27]', '[587, 587, -w - 25]', '[587, 587, w - 25]', '[593, 593, -34*w + 211]', '[593, 593, 8*w - 55]', '[599, 599, 4*w - 3]', '[599, 599, -4*w - 3]', '[607, 607, -4*w - 1]', '[607, 607, 4*w - 1]', '[617, 617, -4*w - 35]', '[617, 617, 4*w - 35]', '[619, 619, 3*w - 31]', '[619, 619, -3*w - 31]', '[643, 643, 9*w - 61]', '[643, 643, -33*w + 205]', '[661, 661, 5*w - 17]', '[661, 661, -5*w - 17]', '[677, 677, -9*w + 49]', '[677, 677, -39*w + 239]', '[691, 691, -w - 27]', '[691, 691, w - 27]', '[739, 739, 47*w - 291]', '[739, 739, -7*w + 51]', '[743, 743, -6*w - 25]', '[743, 743, 6*w - 25]', '[751, 751, -50*w + 307]', '[751, 751, -8*w + 41]', '[761, 761, 4*w - 37]', '[761, 761, -4*w - 37]', '[769, 769, -30*w + 187]', '[769, 769, 12*w - 79]', '[773, 773, -7*w - 33]', '[773, 773, 7*w - 33]', '[797, 797, -31*w + 189]', '[797, 797, -13*w + 75]', '[809, 809, 2*w - 31]', '[809, 809, -2*w - 31]', '[829, 829, -5*w - 11]', '[829, 829, 5*w - 11]', '[839, 839, 6*w - 23]', '[839, 839, -6*w - 23]', '[859, 859, -27*w + 169]', '[859, 859, 15*w - 97]', '[863, 863, -18*w + 107]', '[863, 863, -24*w + 145]', '[877, 877, -41*w + 251]', '[877, 877, -11*w + 61]', '[881, 881, 16*w - 103]', '[881, 881, -26*w + 163]', '[883, 883, -3*w - 35]', '[883, 883, 3*w - 35]', '[887, 887, -14*w + 81]', '[887, 887, -32*w + 195]', '[911, 911, 8*w - 39]', '[911, 911, -8*w - 39]', '[929, 929, 20*w - 127]', '[929, 929, -22*w + 139]', '[937, 937, 2*w - 33]', '[937, 937, -2*w - 33]', '[941, 941, -5*w - 3]', '[941, 941, 5*w - 3]', '[947, 947, 7*w - 53]', '[947, 947, -7*w - 53]', '[983, 983, -12*w + 67]', '[983, 983, -42*w + 257]', '[991, 991, -10*w + 53]', '[991, 991, 10*w + 53]']}
• 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_label	text
  galt	integer
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	integer[]
  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': [-38, 0, 1], 'conductor': 152, 'degree': 2, 'dirichlet_group': [1, 75], 'disc_abs': 152, 'disc_rad': 38, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [0]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_label': '2T1', 'galt': 1, 'index': 1, 'inessentialp': [], 'is_galois': True, 'iso_number': 1, 'label': '2.2.152.1', 'local_algs': ['2.2.3.4', '19.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 19], 'rd': 12.3288280059, 'regulator': {'__RealLiteral__': 0, 'data': '4.30388242811', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 6 a - 37 \\)'], 'used_grh': False, 'zk': ['1', 'a']}