Hilbert modular form data - 2.2.104.1-16.1-b

Formats: - HTML - YAML - JSON - 2024-12-14T22:22:01.401462

• 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': 104, 'field_bad_primes': [2, 13], 'field_label': '2.2.104.1', 'is_CM': 'no', 'is_base_change': 'yes', 'label': '2.2.104.1-16.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2], 'level_ideal': '[16, 4, 4]', 'level_label': '16.1', 'level_norm': 16, 'parallel_weight': 2, 'short_label': '16.1-b', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[2, 2, w]', 1]], 'hecke_eigenvalues': [0, 1, 1, 5, -2, -2, -6, 3, 3, 0, 0, 6, 6, 3, 3, 5, -10, -10, 12, 12, 0, 0, 16, 16, -4, -4, 15, 15, -6, -6, -18, -18, -10, -10, 6, 6, 18, 18, 23, 23, 0, 0, 2, 2, -15, -15, 9, 9, 3, 3, 6, 6, -1, -1, -18, -18, -12, -12, 9, 9, -2, -2, -12, -12, -27, -27, -15, -15, -28, -28, 30, 30, 18, 18, -3, -3, 9, 9, 10, 10, 7, 7, -30, -30, -24, -24, -10, -10, -3, -3, -33, -33, 23, 23, 15, 15, 2, 2, 30, 30, 27, 27, 22, 22, -6, -6, 30, 30, -18, -18, -24, -24, -18, -18, -18, -18, 19, 19, -4, -4, -12, -12, 30, 30, 0, 0, -18, -18, -51, -51, -30, -30, -22, -22, 49, 49, -18, -18, -15, -15, -12, -12, -43, -43, -14, -14, 32, 32, 22, 9, 9, -42, -42, 33, 33, -33, -33, 42, 42, -42, -42, 0, 0, 18, 18, 17, 17, 2, 2, -21, -21, 62, -52, -52], 'hecke_polynomial': 'x', 'label': '2.2.104.1-16.1-b'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 104, 'ideals': ['[1, 1, 1]', '[2, 2, w]', '[4, 2, 2]', '[5, 5, w + 1]', '[5, 5, w + 4]', '[8, 4, 2*w]', '[9, 3, 3]', '[10, 10, w + 4]', '[10, 10, w - 4]', '[11, 11, w + 2]', '[11, 11, w + 9]', '[13, 13, w]', '[16, 4, 4]', '[17, 17, w + 3]', '[17, 17, -w + 3]', '[18, 6, 3*w]', '[19, 19, w + 8]', '[19, 19, w + 11]', '[20, 10, 2*w + 2]', '[20, 10, 2*w + 8]', '[22, 22, w + 2]', '[22, 22, w - 2]', '[23, 23, -w - 7]', '[23, 23, w - 7]', '[25, 5, 5]', '[25, 25, w + 1]', '[25, 25, w - 1]', '[26, 26, w]', '[32, 8, 4*w]', '[34, 34, w + 14]', '[34, 34, w + 20]', '[36, 6, 6]', '[37, 37, w + 10]', '[37, 37, w + 27]', '[38, 38, -w - 8]', '[38, 38, -w + 8]', '[40, 20, 2*w + 8]', '[40, 20, 2*w - 8]', '[44, 22, 2*w + 4]', '[44, 22, 2*w + 18]', '[45, 15, 3*w + 3]', '[45, 15, 3*w + 12]', '[46, 46, w + 16]', '[46, 46, w + 30]', '[49, 7, -7]', '[50, 10, 5*w]', '[50, 50, w + 24]', '[50, 50, w + 26]', '[52, 26, 2*w]', '[55, 55, w + 9]', '[55, 55, 2*w - 7]', '[55, 55, 2*w + 7]', '[55, 55, -w + 9]', '[59, 59, w + 12]', '[59, 59, w + 47]', '[64, 8, 8]', '[65, 65, -2*w + 13]', '[65, 65, 2*w + 13]', '[67, 67, w + 19]', '[67, 67, w + 48]', '[68, 34, 2*w + 6]', '[68, 34, -2*w + 6]', '[72, 12, 6*w]', '[74, 74, -w - 10]', '[74, 74, w - 10]', '[76, 38, 2*w + 16]', '[76, 38, 2*w + 22]', '[79, 79, 2*w - 5]', '[79, 79, -2*w - 5]', '[80, 20, 4*w + 4]', '[80, 20, 4*w + 16]', '[81, 9, 9]', '[83, 83, w + 21]', '[83, 83, w + 62]', '[85, 85, w + 14]', '[85, 85, w + 31]', '[85, 85, w + 54]', '[85, 85, w + 71]', '[88, 44, 2*w + 4]', '[88, 44, 2*w - 4]', '[90, 30, 3*w + 12]', '[90, 30, 3*w - 12]', '[92, 46, -2*w - 14]', '[92, 46, 2*w - 14]', '[95, 95, w + 11]', '[95, 95, -2*w + 3]', '[95, 95, 2*w + 3]', '[95, 95, w - 11]', '[98, 14, 7*w]', '[99, 33, 3*w + 6]', '[99, 33, 3*w + 27]', '[100, 10, 10]', '[100, 50, 2*w + 2]', '[100, 50, 2*w - 2]', '[103, 103, 2*w - 1]', '[103, 103, -2*w - 1]', '[104, 52, 2*w]', '[109, 109, w + 35]', '[109, 109, w + 74]', '[110, 110, w + 24]', '[110, 110, w + 46]', '[110, 110, w + 64]', '[110, 110, w + 86]', '[113, 113, 3*w - 11]', '[113, 113, -3*w - 11]', '[115, 115, w + 16]', '[115, 115, w + 39]', '[115, 115, w + 76]', '[115, 115, w + 99]', '[117, 39, 3*w]', '[118, 118, -w - 12]', '[118, 118, w - 12]', '[121, 11, 11]', '[121, 121, -2*w + 15]', '[121, 121, 2*w + 15]', '[125, 25, 5*w + 5]', '[125, 25, 5*w + 20]', '[125, 125, w + 49]', '[125, 125, w + 76]', '[127, 127, 4*w + 17]', '[127, 127, -4*w + 17]', '[128, 16, 8*w]', '[130, 130, w + 26]', '[130, 130, w + 104]', '[134, 134, 5*w - 28]', '[134, 134, 5*w + 28]', '[136, 68, 2*w + 28]', '[136, 68, 2*w + 40]', '[143, 143, w + 13]', '[143, 143, -w + 13]', '[144, 12, 12]', '[148, 74, 2*w + 20]', '[148, 74, 2*w + 54]', '[149, 149, w + 18]', '[149, 149, w + 131]', '[152, 76, -2*w - 16]', '[152, 76, -2*w + 16]', '[153, 51, 3*w + 9]', '[153, 51, -3*w + 9]', '[158, 158, w + 42]', '[158, 158, w + 116]', '[160, 40, 4*w + 16]', '[160, 40, 4*w - 16]', '[162, 18, 9*w]', '[163, 163, w + 29]', '[163, 163, w + 134]', '[166, 166, -5*w + 22]', '[166, 166, -5*w - 22]', '[169, 13, 13]', '[170, 170, -w - 14]', '[170, 170, 3*w - 8]', '[170, 170, -3*w - 8]', '[170, 170, -w + 14]', '[171, 57, 3*w + 24]', '[171, 57, 3*w + 33]', '[176, 44, 4*w + 8]', '[176, 44, 4*w + 36]', '[180, 30, 6*w + 6]', '[180, 30, 6*w + 24]', '[184, 92, 2*w + 32]', '[184, 92, 2*w + 60]', '[185, 185, -3*w - 7]', '[185, 185, -7*w - 33]', '[185, 185, -7*w + 33]', '[185, 185, -3*w + 7]', '[187, 187, w + 20]', '[187, 187, w + 31]', '[187, 187, w + 156]', '[187, 187, w + 167]', '[190, 190, w + 46]', '[190, 190, w + 84]', '[190, 190, w + 106]', '[190, 190, w + 144]', '[191, 191, 4*w - 15]', '[191, 191, -4*w - 15]', '[196, 14, -14]', '[197, 197, w + 82]', '[197, 197, w + 115]', '[198, 66, 3*w + 6]', '[198, 66, 3*w - 6]', '[199, 199, -w - 15]', '[199, 199, w - 15]', '[200, 20, 10*w]', '[200, 100, 2*w + 48]', '[200, 100, 2*w + 52]', '[206, 206, w + 52]', '[206, 206, w + 154]', '[207, 69, -3*w - 21]', '[207, 69, 3*w - 21]', '[208, 52, 4*w]', '[209, 209, 4*w - 25]', '[209, 209, 3*w - 5]', '[209, 209, -3*w - 5]', '[209, 209, 4*w + 25]', '[218, 218, -3*w - 4]', '[218, 218, 3*w - 4]', '[220, 110, 2*w + 18]', '[220, 110, 4*w - 14]', '[220, 110, 4*w + 14]', '[220, 110, -2*w + 18]', '[221, 221, w + 65]', '[221, 221, w + 156]', '[225, 15, 15]', '[225, 75, 3*w + 3]', '[225, 75, 3*w - 3]', '[226, 226, w + 34]', '[226, 226, w + 192]', '[227, 227, w + 88]', '[227, 227, w + 139]', '[229, 229, w + 22]', '[229, 229, w + 207]', '[230, 230, -w - 16]', '[230, 230, -3*w + 2]', '[230, 230, -3*w - 2]', '[230, 230, w - 16]', '[233, 233, -3*w - 1]', '[233, 233, 3*w - 1]', '[234, 78, 3*w]', '[236, 118, 2*w + 24]', '[236, 118, 2*w + 94]', '[242, 22, 11*w]', '[242, 242, w + 68]', '[242, 242, w + 174]', '[245, 35, 7*w + 7]', '[245, 35, 7*w + 28]', '[247, 247, -4*w - 13]', '[247, 247, 4*w - 13]', '[250, 50, 5*w + 20]', '[250, 50, 5*w - 20]', '[250, 250, -3*w + 22]', '[250, 250, 3*w + 22]', '[253, 253, w + 53]', '[253, 253, w + 108]', '[253, 253, w + 145]', '[253, 253, w + 200]', '[254, 254, w + 36]', '[254, 254, w + 218]', '[256, 16, 16]', '[257, 257, 2*w - 19]', '[257, 257, -2*w - 19]', '[260, 130, -4*w + 26]', '[260, 130, 4*w + 26]', '[263, 263, -w - 17]', '[263, 263, w - 17]', '[268, 134, 2*w + 38]', '[268, 134, 2*w + 96]', '[272, 68, 4*w + 12]', '[272, 68, -4*w + 12]', '[275, 55, 5*w + 10]', '[275, 55, 5*w + 45]', '[275, 275, w + 24]', '[275, 275, w + 101]', '[275, 275, w + 174]', '[275, 275, w + 251]', '[286, 286, w + 130]', '[286, 286, w + 156]', '[288, 24, 12*w]', '[289, 17, 17]', '[289, 289, 5*w - 19]', '[289, 289, 5*w + 19]', '[293, 293, w + 57]', '[293, 293, w + 236]', '[295, 295, -4*w + 11]', '[295, 295, -8*w + 37]', '[295, 295, -8*w - 37]', '[295, 295, -4*w - 11]', '[296, 148, -2*w - 20]', '[296, 148, 2*w - 20]', '[298, 298, -w - 18]', '[298, 298, w - 18]', '[299, 299, w + 39]', '[299, 299, w + 260]', '[304, 76, 4*w + 32]', '[304, 76, 4*w + 44]', '[306, 102, 3*w + 42]', '[306, 102, 3*w + 60]', '[307, 307, w + 124]', '[307, 307, w + 183]', '[311, 311, 5*w - 31]', '[311, 311, -5*w - 31]', '[313, 313, -4*w - 27]', '[313, 313, 4*w - 27]', '[316, 158, 4*w - 10]', '[316, 158, -4*w - 10]', '[317, 317, w + 126]', '[317, 317, w + 191]', '[320, 40, 8*w + 8]', '[320, 40, 8*w + 32]', '[323, 323, w + 65]', '[323, 323, w + 122]', '[323, 323, w + 201]', '[323, 323, w + 258]', '[324, 18, 18]', '[325, 65, 5*w]', '[325, 325, w + 26]', '[325, 325, w + 299]', '[326, 326, -5*w - 18]', '[326, 326, -5*w + 18]', '[331, 331, w + 41]', '[331, 331, w + 290]', '[332, 166, 2*w + 42]', '[332, 166, 2*w + 124]', '[333, 111, 3*w + 30]', '[333, 111, 3*w + 81]', '[335, 335, w + 19]', '[335, 335, 4*w + 9]', '[335, 335, -4*w + 9]', '[335, 335, w - 19]', '[337, 337, 2*w - 21]', '[337, 337, -2*w - 21]', '[338, 26, 13*w]', '[340, 170, 2*w + 28]', '[340, 170, 2*w + 62]', '[340, 170, 2*w + 108]', '[340, 170, 2*w + 142]', '[342, 114, -3*w - 24]', '[342, 114, -3*w + 24]', '[349, 349, w + 153]', '[349, 349, w + 196]', '[352, 88, 4*w + 8]', '[352, 88, 4*w - 8]', '[360, 60, 6*w + 24]', '[360, 60, 6*w - 24]', '[361, 19, 19]', '[361, 361, 5*w - 17]', '[361, 361, 5*w + 17]', '[367, 367, 4*w - 7]', '[367, 367, -4*w - 7]', '[368, 92, -4*w - 28]', '[368, 92, 4*w - 28]', '[370, 370, w + 64]', '[370, 370, w + 84]', '[370, 370, w + 286]', '[370, 370, w + 306]', '[374, 374, w + 20]', '[374, 374, 5*w + 32]', '[374, 374, 5*w - 32]', '[374, 374, w - 20]', '[379, 379, w + 28]', '[379, 379, w + 351]', '[380, 190, 2*w + 22]', '[380, 190, -4*w + 6]', '[380, 190, 4*w + 6]', '[380, 190, 2*w - 22]', '[382, 382, w + 44]', '[382, 382, w + 338]', '[391, 391, 4*w + 5]', '[391, 391, 3*w - 25]', '[391, 391, 3*w + 25]', '[391, 391, -4*w + 5]', '[392, 28, 14*w]', '[394, 394, -5*w - 16]', '[394, 394, -5*w + 16]', '[395, 395, w + 116]', '[395, 395, w + 121]', '[395, 395, w + 274]', '[395, 395, w + 279]', '[396, 66, 6*w + 12]', '[396, 66, 6*w + 54]', '[397, 397, w + 87]', '[397, 397, w + 310]', '[398, 398, w + 184]', '[398, 398, w + 214]', '[400, 20, 20]', '[400, 100, 4*w + 4]', '[400, 100, 4*w - 4]', '[405, 45, 9*w + 9]', '[405, 45, 9*w + 36]', '[407, 407, -6*w + 23]', '[407, 407, -4*w + 3]', '[407, 407, -4*w - 3]', '[407, 407, -6*w - 23]', '[412, 206, 4*w - 2]', '[412, 206, -4*w - 2]', '[414, 138, 3*w + 48]', '[414, 138, 3*w + 90]', '[415, 415, -w - 21]', '[415, 415, -4*w - 1]', '[415, 415, -4*w + 1]', '[415, 415, w - 21]', '[416, 104, 4*w]', '[418, 418, w + 46]', '[418, 418, w + 68]', '[418, 418, w + 350]', '[418, 418, w + 372]', '[421, 421, w + 187]', '[421, 421, w + 234]', '[425, 85, 5*w + 15]', '[425, 85, -5*w + 15]', '[425, 425, 4*w - 29]', '[425, 425, 2*w - 23]', '[425, 425, 2*w + 23]', '[425, 425, 4*w + 29]', '[433, 433, 6*w - 37]', '[433, 433, -6*w - 37]', '[436, 218, 2*w + 70]', '[436, 218, 2*w + 148]', '[437, 437, w + 30]', '[437, 437, w + 122]', '[437, 437, w + 315]', '[437, 437, w + 407]', '[439, 439, -8*w - 35]', '[439, 439, 8*w - 35]', '[440, 220, 2*w + 48]', '[440, 220, 2*w + 92]', '[440, 220, 2*w + 128]', '[440, 220, 2*w + 172]', '[441, 21, -21]', '[442, 442, 3*w + 26]', '[442, 442, 3*w - 26]', '[450, 30, 15*w]', '[450, 150, 3*w + 72]', '[450, 150, 3*w + 78]', '[452, 226, 6*w - 22]', '[452, 226, -6*w - 22]', '[454, 454, 5*w - 14]', '[454, 454, -5*w - 14]', '[458, 458, -w - 22]', '[458, 458, w - 22]', '[460, 230, 2*w + 32]', '[460, 230, 2*w + 78]', '[460, 230, 2*w + 152]', '[460, 230, 2*w + 198]', '[461, 461, w + 165]', '[461, 461, w + 296]', '[466, 466, w + 78]', '[466, 466, w + 388]', '[468, 78, 6*w]', '[472, 236, -2*w - 24]', '[472, 236, 2*w - 24]', '[475, 95, 5*w + 40]', '[475, 95, 5*w + 55]', '[475, 475, w + 49]', '[475, 475, w + 201]', '[475, 475, w + 274]', '[475, 475, w + 426]', '[481, 481, -5*w - 13]', '[481, 481, -5*w + 13]', '[484, 22, 22]', '[484, 242, -4*w + 30]', '[484, 242, 4*w + 30]', '[490, 70, -7*w - 28]', '[490, 70, -7*w + 28]', '[494, 494, w + 182]', '[494, 494, w + 312]', '[495, 165, 3*w + 27]', '[495, 165, 6*w - 21]', '[495, 165, 6*w + 21]', '[495, 165, -3*w + 27]', '[499, 499, w + 32]', '[499, 499, w + 467]', '[500, 50, 10*w + 10]', '[500, 50, 10*w + 40]', '[500, 250, 2*w + 98]', '[500, 250, 2*w + 152]', '[503, 503, -w - 23]', '[503, 503, w - 23]', '[506, 506, -5*w - 34]', '[506, 506, -5*w + 12]', '[506, 506, -5*w - 12]', '[506, 506, 5*w - 34]', '[508, 254, 8*w + 34]', '[508, 254, -8*w + 34]', '[509, 509, w + 75]', '[509, 509, w + 434]', '[512, 32, 16*w]', '[514, 514, w + 138]', '[514, 514, w + 376]', '[515, 515, w + 51]', '[515, 515, w + 154]', '[515, 515, w + 361]', '[515, 515, w + 464]', '[520, 260, 2*w + 52]', '[520, 260, 2*w + 208]', '[521, 521, 2*w - 25]', '[521, 521, -2*w - 25]', '[526, 526, w + 246]', '[526, 526, w + 280]', '[529, 23, 23]', '[529, 529, 5*w + 11]', '[529, 529, 5*w - 11]', '[531, 177, 3*w + 36]', '[531, 177, 3*w + 141]', '[536, 268, 10*w - 56]', '[536, 268, 10*w + 56]', '[539, 77, 7*w + 14]', '[539, 77, 7*w + 63]', '[541, 541, w + 244]', '[541, 541, w + 297]', '[544, 136, 4*w + 56]', '[544, 136, 4*w + 80]', '[545, 545, -8*w - 47]', '[545, 545, 4*w + 31]', '[545, 545, 4*w - 31]', '[545, 545, -8*w + 47]', '[550, 110, 5*w + 10]', '[550, 110, 5*w - 10]', '[550, 550, w + 24]', '[550, 550, -3*w + 28]', '[550, 550, 3*w + 28]', '[550, 550, -w + 24]', '[557, 557, w + 103]', '[557, 557, w + 454]', '[565, 565, w + 34]', '[565, 565, w + 79]', '[565, 565, w + 486]', '[565, 565, w + 531]', '[569, 569, 5*w - 9]', '[569, 569, -5*w - 9]', '[572, 286, 2*w + 26]', '[572, 286, -2*w + 26]', '[575, 115, -5*w - 35]', '[575, 115, 5*w - 35]', '[575, 575, -8*w - 33]', '[575, 575, -6*w - 19]', '[575, 575, -6*w + 19]', '[575, 575, -8*w + 33]', '[576, 24, 24]', '[578, 34, 17*w]', '[578, 578, w + 54]', '[578, 578, w + 524]', '[585, 195, -6*w + 39]', '[585, 195, 6*w + 39]', '[586, 586, -5*w - 8]', '[586, 586, 5*w - 8]', '[587, 587, w + 253]', '[587, 587, w + 334]', '[590, 590, w + 106]', '[590, 590, w + 224]', '[590, 590, w + 366]', '[590, 590, w + 484]', '[592, 148, 4*w + 40]', '[592, 148, 4*w + 108]', '[596, 298, 2*w + 36]', '[596, 298, 2*w + 262]', '[598, 598, -7*w - 26]', '[598, 598, -7*w + 26]', '[599, 599, -w - 25]', '[599, 599, w - 25]', '[601, 601, 5*w - 7]', '[601, 601, -5*w - 7]', '[603, 201, 3*w + 57]', '[603, 201, 3*w + 144]', '[605, 55, 11*w + 11]', '[605, 55, 11*w + 44]', '[605, 605, w + 174]', '[605, 605, w + 189]', '[605, 605, w + 416]', '[605, 605, w + 431]', '[607, 607, -3*w - 29]', '[607, 607, 3*w - 29]', '[608, 152, -4*w - 32]', '[608, 152, -4*w + 32]', '[612, 102, 6*w + 18]', '[612, 102, -6*w + 18]', '[613, 613, w + 168]', '[613, 613, w + 445]', '[614, 614, -5*w - 6]', '[614, 614, 5*w - 6]', '[619, 619, w + 176]', '[619, 619, w + 443]', '[622, 622, w + 56]', '[622, 622, w + 566]', '[625, 25, 25]', '[625, 125, 5*w + 5]', '[625, 125, 5*w - 5]', '[625, 625, -2*w + 27]', '[625, 625, 2*w + 27]', '[626, 626, w + 228]', '[626, 626, w + 398]', '[629, 629, w + 269]', '[629, 629, w + 286]', '[629, 629, w + 343]', '[629, 629, w + 360]', '[632, 316, 2*w + 84]', '[632, 316, 2*w + 232]', '[634, 634, 5*w - 4]', '[634, 634, -5*w - 4]', '[635, 635, w + 36]', '[635, 635, w + 91]', '[635, 635, w + 544]', '[635, 635, w + 599]', '[637, 91, 7*w]', '[640, 80, 8*w + 32]', '[640, 80, 8*w - 32]', '[641, 641, -5*w - 3]', '[641, 641, 5*w - 3]', '[643, 643, w + 266]', '[643, 643, w + 377]', '[646, 646, 5*w - 36]', '[646, 646, 5*w - 2]', '[646, 646, 5*w + 2]', '[646, 646, -5*w - 36]', '[647, 647, 6*w - 17]', '[647, 647, -6*w - 17]', '[648, 36, 18*w]', '[649, 649, -5*w - 1]', '[649, 649, -7*w - 25]', '[649, 649, -7*w + 25]', '[649, 649, -5*w + 1]', '[650, 130, 5*w]', '[650, 650, w + 26]', '[650, 650, -w + 26]', '[652, 326, 2*w + 58]', '[652, 326, 2*w + 268]', '[661, 661, w + 150]', '[661, 661, w + 511]', '[662, 662, -9*w + 38]', '[662, 662, -9*w - 38]', '[664, 332, -10*w + 44]', '[664, 332, -10*w - 44]', '[666, 222, -3*w - 30]', '[666, 222, 3*w - 30]', '[670, 670, w + 86]', '[670, 670, w + 316]', '[670, 670, w + 354]', '[670, 670, w + 584]', '[673, 673, 4*w - 33]', '[673, 673, -4*w - 33]', '[674, 674, w + 158]', '[674, 674, w + 516]', '[676, 26, 26]', '[680, 340, -2*w - 28]', '[680, 340, 6*w - 16]', '[680, 340, -6*w - 16]', '[680, 340, -2*w + 28]', '[683, 683, w + 241]', '[683, 683, w + 442]', '[684, 114, 6*w + 48]', '[684, 114, 6*w + 66]', '[691, 691, w + 59]', '[691, 691, w + 632]', '[698, 698, 11*w + 62]', '[698, 698, 11*w - 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184]', '[9854, 9854, w + 4576]', '[9854, 9854, w + 5278]', '[9857, 9857, -32*w - 191]', '[9857, 9857, 32*w - 191]', '[9859, 9859, w + 2668]', '[9859, 9859, w + 7191]', '[9866, 9866, -21*w - 40]', '[9866, 9866, 21*w - 40]', '[9871, 9871, -20*w - 23]', '[9871, 9871, 20*w - 23]', '[9874, 9874, w + 2504]', '[9874, 9874, w + 7370]', '[9875, 1975, 5*w + 580]', '[9875, 1975, 5*w + 605]', '[9875, 1975, 5*w + 1370]', '[9875, 1975, 5*w + 1395]', '[9875, 9875, w + 674]', '[9875, 9875, w + 1701]', '[9875, 9875, w + 8174]', '[9875, 9875, w + 9201]', '[9880, 4940, 22*w + 52]', '[9880, 4940, 6*w - 104]', '[9880, 4940, 6*w + 104]', '[9880, 4940, -22*w + 52]', '[9886, 9886, w + 3024]', '[9886, 9886, w + 6862]', '[9892, 4946, 28*w - 174]', '[9892, 4946, -28*w - 174]', '[9896, 4948, -2*w - 100]', '[9896, 4948, 2*w - 100]', '[9899, 9899, w + 3374]', '[9899, 9899, w + 4416]', '[9899, 9899, w + 5483]', '[9899, 9899, w + 6525]', '[9900, 330, 30*w + 60]', '[9900, 330, 30*w + 270]', '[9900, 1650, 6*w + 144]', '[9900, 1650, 6*w + 606]', '[9900, 1650, 6*w + 1044]', '[9900, 1650, 6*w + 1506]', '[9901, 9901, w + 1914]', '[9901, 9901, w + 7987]', '[9904, 2476, 4*w + 704]', '[9904, 2476, 4*w + 1772]', '[9908, 4954, 2*w + 434]', '[9908, 4954, 2*w + 4520]', '[9910, 9910, -47*w - 218]', '[9910, 9910, -23*w + 62]', '[9910, 9910, -23*w - 62]', '[9910, 9910, -47*w + 218]', '[9916, 4958, -20*w - 22]', '[9916, 4958, 22*w - 150]', '[9916, 4958, -22*w - 150]', '[9916, 4958, 20*w - 22]', '[9925, 1985, 5*w + 435]', '[9925, 1985, 5*w + 1550]', '[9925, 9925, w + 1501]', '[9925, 9925, w + 4851]', '[9925, 9925, w + 5074]', '[9925, 9925, w + 8424]', '[9929, 9929, -27*w - 95]', '[9929, 9929, 27*w - 95]', '[9932, 4966, 2*w + 676]', '[9932, 4966, 2*w + 4290]', '[9934, 9934, w + 2140]', '[9934, 9934, w + 7794]', '[9935, 9935, -24*w + 71]', '[9935, 9935, -44*w + 201]', '[9935, 9935, -44*w - 201]', '[9935, 9935, -24*w - 71]', '[9938, 9938, w + 1482]', '[9938, 9938, w + 8456]', '[9944, 4972, -10*w + 112]', '[9944, 4972, -34*w + 200]', '[9944, 4972, -34*w - 200]', '[9944, 4972, -10*w - 112]', '[9945, 3315, 21*w - 39]', '[9945, 3315, -12*w - 117]', '[9945, 3315, -12*w + 117]', '[9945, 3315, -21*w - 39]', '[9946, 9946, -35*w + 148]', '[9946, 9946, -35*w - 148]', '[9950, 1990, 5*w + 920]', '[9950, 1990, 5*w + 1070]', '[9950, 9950, w + 1776]', '[9950, 9950, w + 2174]', '[9950, 9950, w + 7776]', '[9950, 9950, w + 8174]', '[9952, 2488, 4*w + 224]', '[9952, 2488, 4*w + 2264]', '[9959, 9959, -79*w + 415]', '[9959, 9959, -5*w + 103]', '[9959, 9959, 5*w + 103]', '[9959, 9959, 79*w + 415]', '[9962, 9962, -7*w + 106]', '[9962, 9962, -23*w - 154]', '[9962, 9962, 23*w - 154]', '[9962, 9962, 7*w + 106]', '[9965, 9965, w + 1376]', '[9965, 9965, w + 3369]', '[9965, 9965, w + 6596]', '[9965, 9965, w + 8589]', '[9967, 9967, -3*w - 101]', '[9967, 9967, 3*w - 101]', '[9971, 767, 13*w + 156]', '[9971, 767, 13*w + 611]', '[9973, 9973, w + 1275]', '[9973, 9973, w + 8698]', '[9974, 9974, -w - 100]', '[9974, 9974, w - 100]', '[9979, 9979, w + 921]', '[9979, 9979, w + 3856]', '[9979, 9979, w + 6123]', '[9979, 9979, w + 9058]', '[9980, 4990, -28*w + 102]', '[9980, 4990, -36*w + 154]', '[9980, 4990, -36*w - 154]', '[9980, 4990, -28*w - 102]', '[9983, 9983, 31*w - 187]', '[9983, 9983, 22*w - 51]', '[9983, 9983, -22*w - 51]', '[9983, 9983, -31*w - 187]', '[9985, 9985, 16*w - 129]', '[9985, 9985, -36*w + 209]', '[9985, 9985, -36*w - 209]', '[9985, 9985, 16*w + 129]', '[9986, 9986, w + 4148]', '[9986, 9986, w + 5838]', '[9988, 4994, -24*w - 158]', '[9988, 4994, -4*w + 102]', '[9988, 4994, -4*w - 102]', '[9988, 4994, -24*w + 158]', '[9992, 4996, 2*w + 1072]', '[9992, 4996, 2*w + 3924]', '[9994, 9994, 25*w + 162]', '[9994, 9994, 9*w + 110]', '[9994, 9994, 9*w - 110]', '[9994, 9994, 25*w - 162]', '[9995, 9995, w + 1954]', '[9995, 9995, w + 2044]', '[9995, 9995, w + 7951]', '[9995, 9995, w + 8041]', '[10000, 100, 100]', '[10000, 500, 20*w + 20]', '[10000, 500, 20*w - 20]', '[10000, 2500, -8*w + 108]', '[10000, 2500, 8*w + 108]'], 'label': '2.2.104.1', 'narrow_class_no': 2, 'primes': ['[2, 2, w]', '[5, 5, w + 1]', '[5, 5, w + 4]', '[9, 3, 3]', '[11, 11, w + 2]', '[11, 11, w + 9]', '[13, 13, w]', '[17, 17, w + 3]', '[17, 17, -w + 3]', '[19, 19, w + 8]', '[19, 19, w + 11]', '[23, 23, -w - 7]', '[23, 23, w - 7]', '[37, 37, w + 10]', '[37, 37, w + 27]', '[49, 7, -7]', '[59, 59, w + 12]', '[59, 59, w + 47]', '[67, 67, w + 19]', '[67, 67, w + 48]', '[79, 79, 2*w - 5]', '[79, 79, -2*w - 5]', '[83, 83, w + 21]', '[83, 83, w + 62]', '[103, 103, 2*w - 1]', '[103, 103, -2*w - 1]', '[109, 109, w + 35]', '[109, 109, w + 74]', '[113, 113, 3*w - 11]', '[113, 113, -3*w - 11]', '[127, 127, 4*w + 17]', '[127, 127, -4*w + 17]', '[149, 149, w + 18]', '[149, 149, w + 131]', '[163, 163, w + 29]', '[163, 163, w + 134]', '[191, 191, 4*w - 15]', '[191, 191, -4*w - 15]', '[197, 197, w + 82]', '[197, 197, w + 115]', '[199, 199, -w - 15]', '[199, 199, w - 15]', '[227, 227, w + 88]', '[227, 227, w + 139]', '[229, 229, w + 22]', '[229, 229, w + 207]', '[233, 233, -3*w - 1]', '[233, 233, 3*w - 1]', '[257, 257, 2*w - 19]', '[257, 257, -2*w - 19]', '[263, 263, -w - 17]', '[263, 263, w - 17]', '[293, 293, w + 57]', '[293, 293, w + 236]', '[307, 307, w + 124]', '[307, 307, w + 183]', '[311, 311, 5*w - 31]', '[311, 311, -5*w - 31]', '[313, 313, -4*w - 27]', '[313, 313, 4*w - 27]', '[317, 317, w + 126]', '[317, 317, w + 191]', '[331, 331, w + 41]', '[331, 331, w + 290]', '[337, 337, 2*w - 21]', '[337, 337, -2*w - 21]', '[349, 349, w + 153]', '[349, 349, w + 196]', '[367, 367, 4*w - 7]', '[367, 367, -4*w - 7]', '[379, 379, w + 28]', '[379, 379, w + 351]', '[397, 397, w + 87]', '[397, 397, w + 310]', '[421, 421, w + 187]', '[421, 421, w + 234]', '[433, 433, 6*w - 37]', '[433, 433, -6*w - 37]', '[439, 439, -8*w - 35]', '[439, 439, 8*w - 35]', '[461, 461, w + 165]', '[461, 461, w + 296]', '[499, 499, w + 32]', '[499, 499, w + 467]', '[503, 503, -w - 23]', '[503, 503, w - 23]', '[509, 509, w + 75]', '[509, 509, w + 434]', '[521, 521, 2*w - 25]', '[521, 521, -2*w - 25]', '[541, 541, w + 244]', '[541, 541, w + 297]', '[557, 557, w + 103]', '[557, 557, w + 454]', '[569, 569, 5*w - 9]', '[569, 569, -5*w - 9]', '[587, 587, w + 253]', '[587, 587, w + 334]', '[599, 599, -w - 25]', '[599, 599, w - 25]', '[601, 601, 5*w - 7]', '[601, 601, -5*w - 7]', '[607, 607, -3*w - 29]', '[607, 607, 3*w - 29]', '[613, 613, w + 168]', '[613, 613, w + 445]', '[619, 619, w + 176]', '[619, 619, w + 443]', '[641, 641, -5*w - 3]', '[641, 641, 5*w - 3]', '[643, 643, w + 266]', '[643, 643, w + 377]', '[647, 647, 6*w - 17]', '[647, 647, -6*w - 17]', '[661, 661, w + 150]', '[661, 661, w + 511]', '[673, 673, 4*w - 33]', '[673, 673, -4*w - 33]', '[683, 683, w + 241]', '[683, 683, w + 442]', '[691, 691, w + 59]', '[691, 691, w + 632]', '[709, 709, w + 38]', '[709, 709, w + 671]', '[719, 719, -5*w - 37]', '[719, 719, 5*w - 37]', '[727, 727, 3*w - 31]', '[727, 727, -3*w - 31]', '[733, 733, w + 284]', '[733, 733, w + 449]', '[739, 739, w + 61]', '[739, 739, w + 678]', '[751, 751, -10*w + 43]', '[751, 751, 10*w + 43]', '[773, 773, w + 355]', '[773, 773, w + 418]', '[787, 787, w + 40]', '[787, 787, w + 747]', '[809, 809, -4*w - 35]', '[809, 809, 4*w - 35]', '[811, 811, w + 358]', '[811, 811, w + 453]', '[821, 821, w + 125]', '[821, 821, w + 696]', '[823, 823, 8*w - 29]', '[823, 823, -8*w - 29]', '[827, 827, w + 175]', '[827, 827, w + 652]', '[841, 29, -29]', '[853, 853, w + 97]', '[853, 853, w + 756]', '[857, 857, 2*w - 31]', '[857, 857, -2*w - 31]', '[877, 877, w + 405]', '[877, 877, w + 472]', '[881, 881, 9*w - 35]', '[881, 881, -9*w - 35]', '[887, 887, -6*w - 7]', '[887, 887, 6*w - 7]', '[911, 911, 6*w - 5]', '[911, 911, -6*w - 5]', '[919, 919, 9*w - 55]', '[919, 919, -9*w - 55]', '[937, 937, 11*w + 47]', '[937, 937, -11*w + 47]', '[941, 941, w + 329]', '[941, 941, w + 612]', '[947, 947, w + 69]', '[947, 947, w + 878]', '[953, 953, 4*w - 37]', '[953, 953, -4*w - 37]', '[961, 31, -31]', '[991, 991, -3*w - 35]', '[991, 991, 3*w - 35]']}
• 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': [2], 'class_number': 2, 'cm': False, 'coeffs': [-26, 0, 1], 'conductor': 104, 'degree': 2, 'dirichlet_group': [1, 77], 'disc_abs': 104, 'disc_rad': 26, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [0]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [3, 1], 'galois_label': '2T1', 'galt': 1, 'grd': 10.198039027185569, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.104.1', 'local_algs': ['2.2.3.2', '13.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [2, 13], 'rd': 10.1980390272, 'regulator': {'__RealLiteral__': 0, 'data': '2.31243834127', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a - 5 \\)'], 'used_grh': False, 'zk': ['1', 'a']}