Hilbert modular form data - 2.2.229.1-5.2-c

Formats: - HTML - YAML - JSON - 2024-06-06T19:33:01.459832

• 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': 11, 'disc': 229, 'field_bad_primes': [229], 'field_label': '2.2.229.1', 'is_CM': 'no', 'is_base_change': 'no', 'label': '2.2.229.1-5.2-c', 'label_nsuffix': 2, 'label_suffix': 'c', 'level_bad_primes': [5], 'level_ideal': '[5,5,-w + 2]', 'level_label': '5.2', 'level_norm': 5, 'parallel_weight': 2, 'short_label': '5.2-c', 'weight': '[2, 2]'}
• hmf_hecke •

  Column	Type
  AL_eigenvalues	jsonb
  hecke_eigenvalues	jsonb
  hecke_polynomial	text
  label	text

  
  {'AL_eigenvalues': [['[5,5,-w + 2]', -1]], 'hecke_eigenvalues': ['48465/27167*e^10 + 197726/27167*e^9 - 715586/27167*e^8 - 3171832/27167*e^7 + 3171772/27167*e^6 + 16308489/27167*e^5 - 2274298/27167*e^4 - 27169880/27167*e^3 - 1430834/3881*e^2 + 3481939/27167*e - 129347/27167', 'e', '-36506/27167*e^10 - 150403/27167*e^9 + 534500/27167*e^8 + 2413885/27167*e^7 - 2318852/27167*e^6 - 12426542/27167*e^5 + 1362721/27167*e^4 + 20753116/27167*e^3 + 1159394/3881*e^2 - 2637395/27167*e - 19787/27167', '88012/27167*e^10 + 364113/27167*e^9 - 1280175/27167*e^8 - 5839685/27167*e^7 + 5449392/27167*e^6 + 30016093/27167*e^5 - 2552539/27167*e^4 - 49840279/27167*e^3 - 2958994/3881*e^2 + 5504511/27167*e - 28324/27167', 1, '-31687/3881*e^10 - 130218/3881*e^9 + 464412/3881*e^8 + 2089718/3881*e^7 - 2018216/3881*e^6 - 10753943/3881*e^5 + 1208644/3881*e^4 + 17939274/3881*e^3 + 6977951/3881*e^2 - 2247157/3881*e + 28698/3881', '-108587/27167*e^10 - 447191/27167*e^9 + 1589080/27167*e^8 + 7180832/27167*e^7 - 6867390/27167*e^6 - 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599*x^4 - 724*x^3 - 128*x^2 + 60*x - 1', 'label': '2.2.229.1-5.2-c'}
• hmf_fields •

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

  
  {'degree': 2, 'discriminant': 229, 'ideals': ['[1, 1, 1]', '[3, 3, w]', '[3, 3, w + 2]', '[4, 2, 2]', '[5, 5, w + 1]', '[5, 5, w + 3]', '[9, 3, 3]', '[9, 9, w + 3]', '[9, 9, w + 5]', '[11, 11, w + 1]', '[11, 11, w + 9]', '[12, 6, 2*w]', '[12, 6, 2*w + 4]', '[15, 15, w + 3]', '[15, 15, -w - 6]', '[15, 15, w - 7]', '[15, 15, w + 11]', '[16, 4, 4]', '[17, 17, w + 2]', '[17, 17, w + 14]', '[19, 19, w]', '[19, 19, w + 18]', '[20, 10, 2*w + 2]', '[20, 10, 2*w + 6]', '[25, 5, 5]', '[25, 25, w + 11]', '[25, 25, w + 13]', '[27, 9, 3*w]', '[27, 9, 3*w + 6]', '[27, 27, w + 5]', '[27, 27, w - 6]', '[33, 33, -w - 9]', '[33, 33, w + 12]', '[33, 33, w + 20]', '[33, 33, w - 10]', '[36, 6, 6]', '[36, 18, 2*w + 6]', '[36, 18, 2*w + 10]', '[37, 37, -w - 4]', '[37, 37, w - 5]', '[43, 43, w + 16]', '[43, 43, w + 26]', '[44, 22, 2*w + 2]', '[44, 22, 2*w + 18]', '[45, 15, 3*w + 3]', '[45, 15, 3*w + 9]', '[45, 45, w + 3]', '[45, 45, w + 21]', '[45, 45, w + 23]', '[45, 45, -w + 4]', '[48, 12, 4*w]', '[48, 12, 4*w + 8]', '[49, 7, -7]', '[51, 51, -w - 2]', '[51, 51, w + 14]', '[51, 51, w + 36]', '[51, 51, w - 3]', '[53, 53, -w - 10]', '[53, 53, w - 11]', '[55, 55, w + 1]', '[55, 55, w + 23]', '[55, 55, w + 31]', '[55, 55, -w + 2]', '[57, 57, -w]', '[57, 57, w + 18]', '[57, 57, w + 38]', '[57, 57, w - 1]', '[60, 30, 2*w + 6]', '[60, 30, -2*w - 12]', '[60, 30, 2*w - 14]', '[60, 30, 2*w + 22]', '[61, 61, w + 15]', '[61, 61, w + 45]', '[64, 8, 8]', '[68, 34, 2*w + 4]', '[68, 34, 2*w + 28]', '[71, 71, w + 33]', '[71, 71, w + 37]', '[75, 15, 5*w]', '[75, 15, 5*w + 10]', '[75, 75, w + 11]', '[75, 75, w + 36]', '[75, 75, w + 38]', '[75, 75, -w + 12]', '[76, 38, 2*w]', '[76, 38, 2*w + 36]', '[80, 20, 4*w + 4]', '[80, 20, 4*w + 12]', '[81, 9, 9]', '[81, 27, 3*w + 9]', '[81, 27, 3*w + 15]', '[81, 81, w + 21]', '[81, 81, w + 59]', '[83, 83, w + 17]', '[83, 83, w + 65]', '[85, 85, w + 31]', '[85, 85, 2*w - 13]', '[85, 85, 2*w + 11]', '[85, 85, w + 53]', '[95, 95, w + 18]', '[95, 95, 2*w - 19]', '[95, 95, -2*w - 17]', '[95, 95, w + 76]', '[97, 97, w + 30]', '[97, 97, w + 66]', '[99, 33, 3*w + 3]', '[99, 33, 3*w + 27]', '[99, 99, -w - 12]', '[99, 99, w + 23]', '[99, 99, w + 75]', '[99, 99, w - 13]', '[100, 10, 10]', '[100, 50, 2*w + 22]', '[100, 50, 2*w + 26]', '[103, 103, w + 34]', '[103, 103, w + 68]', '[108, 18, 6*w]', '[108, 18, 6*w + 12]', '[108, 54, 2*w + 10]', '[108, 54, 2*w - 12]', '[111, 111, w + 32]', '[111, 111, w + 41]', '[111, 111, w + 69]', '[111, 111, w + 78]', '[121, 11, 11]', '[121, 121, w + 20]', '[121, 121, w + 100]', '[125, 25, 5*w + 5]', '[125, 25, 5*w + 15]', '[125, 125, w + 13]', '[125, 125, w - 14]', '[129, 129, w + 26]', '[129, 129, 2*w - 11]', '[129, 129, 2*w + 9]', '[129, 129, w + 102]', '[132, 66, -2*w - 18]', '[132, 66, 2*w + 24]', '[132, 66, 2*w + 40]', '[132, 66, 2*w - 20]', '[135, 45, 3*w + 9]', '[135, 45, -3*w - 18]', '[135, 45, 3*w - 21]', '[135, 45, 3*w + 33]', '[135, 135, w + 21]', '[135, 135, w + 48]', '[135, 135, w + 86]', '[135, 135, w + 113]', '[144, 12, 12]', '[144, 36, 4*w + 12]', '[144, 36, 4*w + 20]', '[147, 21, 7*w]', '[147, 21, 7*w + 14]', '[148, 74, -2*w - 8]', '[148, 74, 2*w - 10]', '[149, 149, w + 61]', '[149, 149, w + 87]', '[151, 151, w + 28]', '[151, 151, w + 122]', '[153, 51, 3*w + 6]', '[153, 51, 3*w + 42]', '[153, 153, w + 14]', '[153, 153, w + 48]', '[153, 153, w + 104]', '[153, 153, w - 15]', '[159, 159, w + 42]', '[159, 159, w + 63]', '[159, 159, w + 95]', '[159, 159, w + 116]', '[165, 165, w + 23]', '[165, 165, w + 53]', '[165, 165, w + 56]', '[165, 165, -2*w + 9]', '[165, 165, 2*w + 7]', '[165, 165, w + 108]', '[165, 165, w + 111]', '[165, 165, w + 141]', '[167, 167, w + 39]', '[167, 167, w + 127]', '[169, 13, -13]', '[171, 57, 3*w]', '[171, 57, 3*w + 54]', '[171, 171, w + 57]', '[171, 171, -2*w + 21]', '[171, 171, -2*w - 19]', '[171, 171, w + 113]', '[172, 86, 2*w + 32]', '[172, 86, 2*w + 52]', '[173, 173, 3*w - 20]', '[173, 173, -3*w - 17]', '[176, 44, 4*w + 4]', '[176, 44, 4*w + 36]', '[180, 30, 6*w + 6]', '[180, 30, 6*w + 18]', '[180, 90, 2*w + 6]', '[180, 90, 2*w + 42]', '[180, 90, 2*w + 46]', '[180, 90, -2*w + 8]', '[181, 181, w + 24]', '[181, 181, w + 156]', '[183, 183, -w - 15]', '[183, 183, w + 45]', '[183, 183, w + 137]', '[183, 183, w - 16]', '[185, 185, w + 41]', '[185, 185, w + 78]', '[185, 185, w + 106]', '[185, 185, w + 143]', '[187, 187, w + 31]', '[187, 187, -3*w + 28]', '[187, 187, -3*w - 25]', '[187, 187, w + 155]', '[192, 24, 8*w]', '[192, 24, 8*w + 16]', '[193, 193, 2*w - 7]', '[193, 193, -2*w - 5]', '[196, 14, -14]', '[204, 102, -2*w - 4]', '[204, 102, 2*w + 28]', '[204, 102, 2*w + 72]', '[204, 102, 2*w - 6]', '[209, 209, w + 56]', '[209, 209, -3*w - 16]', '[209, 209, 3*w - 19]', '[209, 209, w + 152]', '[212, 106, -2*w - 20]', '[212, 106, 2*w - 22]', '[213, 213, w + 33]', '[213, 213, 2*w - 5]', '[213, 213, -2*w - 3]', '[213, 213, w + 179]', '[215, 215, -w - 16]', '[215, 215, w + 26]', '[215, 215, w + 188]', '[215, 215, -w + 17]', '[220, 110, 2*w + 2]', '[220, 110, 2*w + 46]', '[220, 110, 2*w + 62]', '[220, 110, -2*w + 4]', '[225, 15, 15]', '[225, 45, 5*w + 15]', '[225, 45, 5*w + 25]', '[225, 75, 3*w + 33]', '[225, 75, 3*w + 39]', '[225, 225, w + 86]', '[225, 225, 2*w - 3]', '[225, 225, 2*w + 1]', '[225, 225, w + 138]', '[228, 114, -2*w]', '[228, 114, 2*w + 36]', '[228, 114, 2*w + 76]', '[228, 114, 2*w - 2]', '[229, 229, 2*w - 1]', '[233, 233, w + 27]', '[233, 233, w + 205]', '[240, 60, 4*w + 12]', '[240, 60, -4*w - 24]', '[240, 60, 4*w - 28]', '[240, 60, 4*w + 44]', '[241, 241, -3*w - 26]', '[241, 241, 3*w - 29]', '[243, 27, 9*w]', '[243, 27, 9*w + 18]', '[243, 81, 3*w + 15]', '[243, 81, 3*w - 18]', '[243, 243, w + 102]', '[243, 243, w + 140]', '[244, 122, 2*w + 30]', '[244, 122, 2*w + 90]', '[245, 35, 7*w + 7]', '[245, 35, 7*w + 21]', '[249, 249, -w - 17]', '[249, 249, w + 65]', '[249, 249, w + 183]', '[249, 249, w - 18]', '[255, 255, w + 36]', '[255, 255, w + 48]', '[255, 255, w + 53]', '[255, 255, 2*w - 23]', '[255, 255, -2*w - 21]', '[255, 255, w + 201]', '[255, 255, w + 206]', '[255, 255, w + 218]', '[256, 16, 16]', '[265, 265, w + 63]', '[265, 265, w + 116]', '[265, 265, w + 148]', '[265, 265, w + 201]', '[271, 271, w + 29]', '[271, 271, w + 241]', '[272, 68, 4*w + 8]', '[272, 68, 4*w + 56]', '[275, 55, 5*w + 5]', '[275, 55, 5*w + 45]', '[275, 275, -3*w + 17]', '[275, 275, w + 111]', '[275, 275, w + 163]', '[275, 275, -3*w - 14]', '[277, 277, w + 50]', '[277, 277, w + 226]', '[284, 142, 2*w + 66]', '[284, 142, 2*w + 74]', '[285, 285, w + 18]', '[285, 285, w + 38]', '[285, 285, w + 56]', '[285, 285, w + 113]', '[285, 285, w + 171]', '[285, 285, w + 228]', '[285, 285, w + 246]', '[285, 285, -w + 19]', '[289, 17, 17]', '[289, 289, w + 70]', '[289, 289, w + 218]', '[291, 291, w + 30]', '[291, 291, -5*w - 39]', '[291, 291, 5*w - 44]', '[291, 291, w + 260]', '[293, 293, w + 112]', '[293, 293, w + 180]', '[297, 99, -3*w - 27]', '[297, 99, 3*w + 36]', '[297, 99, 3*w + 60]', '[297, 99, 3*w - 30]', '[297, 297, w + 75]', '[297, 297, w + 86]', '[297, 297, w + 210]', '[297, 297, w + 221]', '[300, 30, 10*w]', '[300, 30, 10*w + 20]', '[300, 150, 2*w + 22]', '[300, 150, 2*w + 72]', '[300, 150, 2*w + 76]', '[300, 150, -2*w + 24]', '[304, 76, 4*w]', '[304, 76, 4*w + 72]', '[305, 305, w + 76]', '[305, 305, 3*w + 13]', '[305, 305, -3*w + 16]', '[305, 305, w + 228]', '[307, 307, w + 132]', '[307, 307, w + 174]', '[309, 309, 4*w - 37]', '[309, 309, w + 137]', '[309, 309, w + 171]', '[309, 309, 4*w + 33]', '[311, 311, w + 88]', '[311, 311, w + 222]', '[320, 40, 8*w + 8]', '[320, 40, 8*w + 24]', '[323, 323, w + 19]', '[323, 323, w + 133]', '[323, 323, w + 189]', '[323, 323, -w + 20]', '[324, 18, 18]', '[324, 54, 6*w + 18]', '[324, 54, 6*w + 30]', '[324, 162, 2*w + 42]', '[324, 162, 2*w + 118]', '[332, 166, 2*w + 34]', '[332, 166, 2*w + 130]', '[333, 111, -3*w - 12]', '[333, 111, 3*w - 15]', '[333, 333, w + 32]', '[333, 333, w + 41]', '[333, 333, w + 291]', '[333, 333, w + 300]', '[337, 337, w + 71]', '[337, 337, w + 265]', '[340, 170, 2*w + 62]', '[340, 170, 4*w - 26]', '[340, 170, 4*w + 22]', '[340, 170, 2*w + 106]', '[347, 347, 2*w - 25]', '[347, 347, -2*w - 23]', '[355, 355, w + 33]', '[355, 355, 3*w - 31]', '[355, 355, -3*w - 28]', '[355, 355, w + 321]', '[359, 359, 3*w - 14]', '[359, 359, -3*w - 11]', '[361, 19, 19]', '[361, 361, w + 57]', '[361, 361, w + 303]', '[363, 33, 11*w]', '[363, 33, 11*w + 22]', '[363, 363, w + 20]', '[363, 363, w + 141]', '[363, 363, w + 221]', '[363, 363, -w + 21]', '[367, 367, w + 43]', '[367, 367, w + 323]', '[373, 373, w + 64]', '[373, 373, w + 308]', '[375, 75, 5*w + 15]', '[375, 75, 5*w + 30]', '[375, 75, -5*w + 35]', '[375, 75, 5*w + 55]', '[375, 375, w + 111]', '[375, 375, w + 138]', '[375, 375, w + 236]', '[375, 375, w + 263]', '[380, 190, 2*w + 36]', '[380, 190, 4*w - 38]', '[380, 190, -4*w - 34]', '[380, 190, 2*w + 152]', '[383, 383, -3*w - 10]', '[383, 383, 3*w - 13]', '[387, 129, 3*w + 48]', '[387, 129, 3*w + 78]', '[387, 387, w + 59]', '[387, 387, 4*w + 21]', '[387, 387, 4*w - 25]', '[387, 387, w + 327]', '[388, 194, 2*w + 60]', '[388, 194, 2*w + 132]', '[396, 66, 6*w + 6]', '[396, 66, 6*w + 54]', '[396, 198, -2*w - 24]', '[396, 198, 2*w + 46]', '[396, 198, 2*w + 150]', '[396, 198, 2*w - 26]', '[397, 397, w + 82]', '[397, 397, w + 314]', '[400, 20, 20]', '[400, 100, 4*w + 44]', '[400, 100, 4*w + 52]', '[401, 401, w + 35]', '[401, 401, w + 365]', '[405, 45, 9*w + 9]', '[405, 45, 9*w + 27]', '[405, 135, 3*w + 9]', '[405, 135, 3*w + 63]', '[405, 135, 3*w + 69]', '[405, 135, -3*w + 12]', '[405, 405, -w - 21]', '[405, 405, w + 183]', '[405, 405, w + 221]', '[405, 405, -w + 22]', '[407, 407, w + 78]', '[407, 407, w + 152]', '[407, 407, w + 254]', '[407, 407, w + 328]', '[409, 409, w + 67]', '[409, 409, w + 341]', '[412, 206, 2*w + 68]', '[412, 206, 2*w + 136]', '[415, 415, -8*w + 61]', '[415, 415, w + 183]', '[415, 415, w + 231]', '[415, 415, 8*w + 53]', '[421, 421, w + 46]', '[421, 421, w + 374]', '[425, 85, 5*w + 10]', '[425, 85, 5*w + 70]', '[425, 425, w + 36]', '[425, 425, -3*w + 11]', '[425, 425, 3*w + 8]', '[425, 425, w + 388]', '[431, 431, w + 119]', '[431, 431, w + 311]', '[432, 36, 12*w]', '[432, 36, 12*w + 24]', '[432, 108, 4*w + 20]', '[432, 108, 4*w - 24]', '[433, 433, w + 175]', '[433, 433, w + 257]', '[439, 439, 5*w - 34]', '[439, 439, -5*w - 29]', '[441, 21, 21]', '[441, 63, 7*w + 21]', '[441, 63, 7*w + 35]', '[443, 443, -3*w - 7]', '[443, 443, 3*w - 10]', '[444, 222, 2*w + 64]', '[444, 222, 2*w + 82]', '[444, 222, 2*w + 138]', '[444, 222, 2*w + 156]', '[447, 447, w + 87]', '[447, 447, 2*w - 27]', '[447, 447, -2*w - 25]', '[447, 447, w + 359]', '[449, 449, -w - 22]', '[449, 449, w - 23]', '[453, 453, 7*w - 52]', '[453, 453, w + 179]', '[453, 453, w + 273]', '[453, 453, -7*w - 45]', '[457, 457, w + 208]', '[457, 457, w + 248]', '[459, 153, -3*w - 6]', '[459, 153, 3*w + 42]', '[459, 153, 3*w + 108]', '[459, 153, 3*w - 9]', '[459, 459, w + 48]', '[459, 459, w + 167]', '[459, 459, w + 291]', '[459, 459, w + 410]', '[461, 461, 5*w - 46]', '[461, 461, -5*w - 41]', '[463, 463, w + 186]', '[463, 463, w + 276]', '[467, 467, w + 94]', '[467, 467, w + 372]', '[473, 473, -3*w + 8]', '[473, 473, w + 188]', '[473, 473, w + 284]', '[473, 473, -3*w - 5]', '[475, 95, 5*w]', '[475, 95, 5*w + 90]', '[475, 475, w + 38]', '[475, 475, 4*w - 23]', '[475, 475, -4*w - 19]', '[475, 475, w + 436]', '[477, 159, -3*w - 30]', '[477, 159, 3*w - 33]', '[477, 477, w + 95]', '[477, 477, w + 201]', '[477, 477, w + 275]', '[477, 477, w + 381]', '[484, 22, 22]', '[484, 242, 2*w + 40]', '[484, 242, 2*w + 200]', '[485, 485, w + 66]', '[485, 485, -3*w - 4]', '[485, 485, 3*w - 7]', '[485, 485, w + 418]', '[491, 491, w + 145]', '[491, 491, w + 345]', '[495, 165, 3*w + 3]', '[495, 165, 3*w + 69]', '[495, 165, 3*w + 93]', '[495, 165, -3*w + 6]', '[495, 495, -w - 23]', '[495, 495, w + 86]', '[495, 495, w + 111]', '[495, 495, w + 221]', '[495, 495, w + 273]', '[495, 495, w + 383]', '[495, 495, w + 408]', '[495, 495, -w + 24]', '[500, 50, 10*w + 10]', '[500, 50, 10*w + 30]', '[500, 250, 2*w + 26]', '[500, 250, 2*w - 28]', '[501, 501, w + 39]', '[501, 501, 7*w - 61]', '[501, 501, -7*w - 54]', '[501, 501, w + 461]', '[503, 503, 3*w - 5]', '[503, 503, -3*w - 2]', '[507, 39, 13*w]', '[507, 39, 13*w + 26]', '[509, 509, -3*w - 1]', '[509, 509, 3*w - 4]', '[513, 171, -3*w]', '[513, 171, 3*w + 54]', '[513, 171, 3*w + 114]', '[513, 171, 3*w - 3]', '[513, 513, w + 75]', '[513, 513, w + 113]', '[513, 513, w + 399]', '[513, 513, w + 437]', '[515, 515, w + 68]', '[515, 515, 3*w - 2]', '[515, 515, 3*w - 1]', '[515, 515, w + 446]', '[516, 258, 2*w + 52]', '[516, 258, 4*w - 22]', '[516, 258, 4*w + 18]', '[516, 258, 2*w + 204]', '[519, 519, w + 51]', '[519, 519, w + 224]', '[519, 519, w + 294]', '[519, 519, w + 467]', '[528, 132, -4*w - 36]', '[528, 132, 4*w + 48]', '[528, 132, 4*w + 80]', '[528, 132, 4*w - 40]', '[529, 23, -23]', '[539, 77, 7*w + 7]', '[539, 77, 7*w + 63]', '[540, 90, 6*w + 18]', '[540, 90, -6*w - 36]', '[540, 90, 6*w - 42]', '[540, 90, 6*w + 66]', '[540, 270, 2*w + 42]', '[540, 270, 2*w + 96]', '[540, 270, 2*w + 172]', '[540, 270, 2*w + 226]', '[541, 541, 3*w - 34]', '[541, 541, -3*w - 31]', '[543, 543, -w - 24]', '[543, 543, w + 156]', '[543, 543, w + 386]', '[543, 543, w - 25]', '[549, 183, 3*w + 45]', '[549, 183, 3*w + 135]', '[549, 549, w + 167]', '[549, 549, -7*w + 51]', '[549, 549, -7*w - 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100]', '[9847, 9847, w + 1488]', '[9847, 9847, w + 8358]', '[9851, 9851, 7*w - 116]', '[9851, 9851, -7*w - 109]', '[9852, 4926, -14*w - 30]', '[9852, 4926, 2*w + 2350]', '[9852, 4926, 2*w + 2574]', '[9852, 4926, 14*w - 44]', '[9859, 9859, w + 3503]', '[9859, 9859, w + 6355]', '[9861, 9861, -35*w - 228]', '[9861, 9861, w + 2127]', '[9861, 9861, w + 3857]', '[9861, 9861, 20*w + 171]', '[9861, 9861, -20*w + 191]', '[9861, 9861, w + 6003]', '[9861, 9861, w + 7733]', '[9861, 9861, 35*w - 263]', '[9872, 2468, 24*w - 164]', '[9872, 2468, -24*w - 140]', '[9873, 3291, 24*w - 219]', '[9873, 3291, -24*w - 195]', '[9873, 9873, w + 968]', '[9873, 9873, w + 3162]', '[9873, 9873, w + 6710]', '[9873, 9873, w + 8904]', '[9883, 9883, -9*w - 116]', '[9883, 9883, 9*w - 125]', '[9892, 4946, 2*w + 1894]', '[9892, 4946, 2*w + 3050]', '[9895, 9895, w + 861]', '[9895, 9895, 16*w + 61]', '[9895, 9895, -16*w + 77]', '[9895, 9895, w + 9033]', '[9900, 330, 30*w + 30]', '[9900, 330, 30*w + 270]', '[9900, 990, 10*w + 120]', '[9900, 990, 10*w + 230]', '[9900, 990, 10*w + 750]', '[9900, 990, -10*w + 130]', '[9900, 1650, -18*w + 102]', '[9900, 1650, 6*w + 666]', '[9900, 1650, 6*w + 978]', '[9900, 1650, -18*w - 84]', '[9900, 4950, 2*w + 172]', '[9900, 4950, 2*w + 222]', '[9900, 4950, 2*w + 2026]', '[9900, 4950, 4*w - 106]', '[9900, 4950, -4*w - 102]', '[9900, 4950, 2*w + 2922]', '[9900, 4950, 2*w + 4726]', '[9900, 4950, 2*w + 4776]', '[9903, 9903, w + 2519]', '[9903, 9903, -17*w - 73]', '[9903, 9903, 17*w - 90]', '[9903, 9903, w + 7383]', '[9904, 2476, -20*w - 104]', '[9904, 2476, 20*w - 124]', '[9907, 9907, w + 3927]', '[9907, 9907, w + 5979]', '[9908, 4954, 2*w + 298]', '[9908, 4954, 2*w + 4654]', '[9909, 3303, 30*w - 219]', '[9909, 3303, 3*w + 1230]', '[9909, 3303, 3*w + 2070]', '[9909, 3303, 30*w + 189]', '[9909, 9909, w + 410]', '[9909, 9909, w + 777]', '[9909, 9909, w + 9131]', '[9909, 9909, w + 9498]', '[9911, 9911, 5*w + 104]', '[9911, 9911, w + 2586]', '[9911, 9911, 58*w + 421]', '[9911, 9911, w + 4706]', '[9911, 9911, w + 5204]', '[9911, 9911, 58*w - 479]', '[9911, 9911, w + 7324]', '[9911, 9911, 5*w - 109]', '[9915, 9915, w + 738]', '[9915, 9915, w + 2721]', '[9915, 9915, -28*w + 201]', '[9915, 9915, w + 4043]', '[9915, 9915, w + 5871]', '[9915, 9915, -28*w - 173]', '[9915, 9915, w + 7193]', '[9915, 9915, w + 9176]', '[9923, 9923, w + 2878]', '[9923, 9923, w + 7044]', '[9925, 1985, 5*w + 410]', '[9925, 1985, 5*w + 1570]', '[9925, 9925, 14*w + 29]', '[9925, 9925, w + 2861]', '[9925, 9925, w + 7063]', '[9925, 9925, -14*w + 43]', '[9927, 3309, 3*w + 777]', '[9927, 3309, 3*w + 2529]', '[9927, 9927, -29*w + 210]', '[9927, 9927, w + 4152]', '[9927, 9927, w + 5774]', '[9927, 9927, -29*w - 181]', '[9929, 9929, w + 3761]', '[9929, 9929, w + 6167]', '[9941, 9941, w + 863]', '[9941, 9941, w + 9077]', '[9955, 9955, w + 386]', '[9955, 9955, 19*w - 113]', '[9955, 9955, w + 3463]', '[9955, 9955, w + 4368]', '[9955, 9955, w + 5586]', '[9955, 9955, w + 6491]', '[9955, 9955, -19*w - 94]', '[9955, 9955, w + 9568]', '[9965, 9965, w + 573]', '[9965, 9965, w + 2566]', '[9965, 9965, w + 7398]', '[9965, 9965, w + 9391]', '[9972, 1662, 6*w + 300]', '[9972, 1662, 6*w + 1356]', '[9972, 4986, 2*w + 100]', '[9972, 4986, 2*w + 654]', '[9972, 4986, 2*w + 4330]', '[9972, 4986, 2*w - 102]', '[9973, 9973, w + 1457]', '[9973, 9973, w + 8515]', '[9977, 9977, w + 1134]', '[9977, 9977, w + 3400]', '[9977, 9977, w + 6576]', '[9977, 9977, w + 8842]', '[9979, 9979, w + 223]', '[9979, 9979, 30*w + 233]', '[9979, 9979, 30*w - 263]', '[9979, 9979, w + 9755]', '[9981, 3327, -12*w - 129]', '[9981, 3327, 12*w - 141]', '[9981, 9981, w + 1929]', '[9981, 9981, w + 3038]', '[9981, 9981, w + 6942]', '[9981, 9981, w + 8051]', '[9985, 9985, w + 331]', '[9985, 9985, w + 2328]', '[9985, 9985, w + 7656]', '[9985, 9985, w + 9653]', '[9991, 9991, w + 2746]', '[9991, 9991, -3*w - 101]', '[9991, 9991, 3*w - 104]', '[9991, 9991, w + 7244]', '[9993, 9993, 37*w - 280]', '[9993, 9993, w + 4778]', '[9993, 9993, w + 5214]', '[9993, 9993, -37*w - 243]', '[9995, 9995, w + 2183]', '[9995, 9995, -34*w + 293]', '[9995, 9995, 34*w + 259]', '[9995, 9995, w + 7811]', '[9996, 714, 14*w + 28]', '[9996, 714, 14*w + 196]', '[9996, 714, 14*w + 504]', '[9996, 714, -14*w + 42]', '[10000, 100, 100]', '[10000, 500, 20*w + 220]', '[10000, 500, 20*w + 260]', '[10000, 2500, 4*w + 1052]', '[10000, 2500, 4*w + 1444]'], 'label': '2.2.229.1', 'narrow_class_no': 3, 'primes': ['[3, 3, w]', '[3, 3, w + 2]', '[4, 2, 2]', '[5, 5, w + 1]', '[5, 5, w + 3]', '[11, 11, w + 1]', '[11, 11, w + 9]', '[17, 17, w + 2]', '[17, 17, w + 14]', '[19, 19, w]', '[19, 19, w + 18]', '[37, 37, -w - 4]', '[37, 37, w - 5]', '[43, 43, w + 16]', '[43, 43, w + 26]', '[49, 7, -7]', '[53, 53, -w - 10]', '[53, 53, w - 11]', '[61, 61, w + 15]', '[61, 61, w + 45]', '[71, 71, w + 33]', '[71, 71, w + 37]', '[83, 83, w + 17]', '[83, 83, w + 65]', '[97, 97, w + 30]', '[97, 97, w + 66]', '[103, 103, w + 34]', '[103, 103, w + 68]', '[149, 149, w + 61]', '[149, 149, w + 87]', '[151, 151, w + 28]', '[151, 151, w + 122]', '[167, 167, w + 39]', '[167, 167, w + 127]', '[169, 13, -13]', '[173, 173, 3*w - 20]', '[173, 173, -3*w - 17]', '[181, 181, w + 24]', '[181, 181, w + 156]', '[193, 193, 2*w - 7]', '[193, 193, -2*w - 5]', '[229, 229, 2*w - 1]', '[233, 233, w + 27]', '[233, 233, w + 205]', '[241, 241, -3*w - 26]', '[241, 241, 3*w - 29]', '[271, 271, w + 29]', '[271, 271, w + 241]', '[277, 277, w + 50]', '[277, 277, w + 226]', '[293, 293, w + 112]', '[293, 293, w + 180]', '[307, 307, w + 132]', '[307, 307, w + 174]', '[311, 311, w + 88]', '[311, 311, w + 222]', '[337, 337, w + 71]', '[337, 337, w + 265]', '[347, 347, 2*w - 25]', '[347, 347, -2*w - 23]', '[359, 359, 3*w - 14]', '[359, 359, -3*w - 11]', '[367, 367, w + 43]', '[367, 367, w + 323]', '[373, 373, w + 64]', '[373, 373, w + 308]', '[383, 383, -3*w - 10]', '[383, 383, 3*w - 13]', '[397, 397, w + 82]', '[397, 397, w + 314]', '[401, 401, w + 35]', '[401, 401, w + 365]', '[409, 409, w + 67]', '[409, 409, w + 341]', '[421, 421, w + 46]', '[421, 421, w + 374]', '[431, 431, w + 119]', '[431, 431, w + 311]', '[433, 433, w + 175]', '[433, 433, w + 257]', '[439, 439, 5*w - 34]', '[439, 439, -5*w - 29]', '[443, 443, -3*w - 7]', '[443, 443, 3*w - 10]', '[449, 449, -w - 22]', '[449, 449, w - 23]', '[457, 457, w + 208]', '[457, 457, w + 248]', '[461, 461, 5*w - 46]', '[461, 461, -5*w - 41]', '[463, 463, w + 186]', '[463, 463, w + 276]', '[467, 467, w + 94]', '[467, 467, w + 372]', '[491, 491, w + 145]', '[491, 491, w + 345]', '[503, 503, 3*w - 5]', '[503, 503, -3*w - 2]', '[509, 509, -3*w - 1]', '[509, 509, 3*w - 4]', '[529, 23, -23]', '[541, 541, 3*w - 34]', '[541, 541, -3*w - 31]', '[557, 557, w + 158]', '[557, 557, w + 398]', '[569, 569, w + 262]', '[569, 569, w + 306]', '[587, 587, w + 223]', '[587, 587, w + 363]', '[593, 593, -w - 25]', '[593, 593, w - 26]', '[607, 607, -3*w - 32]', '[607, 607, 3*w - 35]', '[617, 617, 6*w - 41]', '[617, 617, -6*w - 35]', '[619, 619, -5*w - 26]', '[619, 619, 5*w - 31]', '[631, 631, w + 144]', '[631, 631, w + 486]', '[641, 641, w + 44]', '[641, 641, w + 596]', '[643, 643, 7*w + 43]', '[643, 643, 7*w - 50]', '[661, 661, w + 77]', '[661, 661, w + 583]', '[673, 673, w + 58]', '[673, 673, w + 614]', '[683, 683, w + 101]', '[683, 683, w + 581]', '[691, 691, -4*w - 13]', '[691, 691, 4*w - 17]', '[701, 701, w + 196]', '[701, 701, w + 504]', '[733, 733, w + 47]', '[733, 733, w + 685]', '[743, 743, w + 136]', '[743, 743, w + 606]', '[751, 751, w + 318]', '[751, 751, w + 432]', '[757, 757, w + 353]', '[757, 757, w + 403]', '[769, 769, w + 209]', '[769, 769, w + 559]', '[787, 787, w + 84]', '[787, 787, w + 702]', '[821, 821, w + 354]', '[821, 821, w + 466]', '[841, 29, -29]', '[859, 859, w + 97]', '[859, 859, w + 761]', '[863, 863, w + 264]', '[863, 863, w + 598]', '[883, 883, w + 250]', '[883, 883, w + 632]', '[907, 907, -4*w - 1]', '[907, 907, 4*w - 5]', '[911, 911, w + 261]', '[911, 911, w + 649]', '[919, 919, w + 203]', '[919, 919, w + 715]', '[941, 941, w + 356]', '[941, 941, w + 584]', '[953, 953, w + 177]', '[953, 953, w + 775]', '[961, 31, -31]', '[967, 967, 3*w - 40]', '[967, 967, -3*w - 37]', '[971, 971, w + 54]', '[971, 971, w + 916]', '[977, 977, -7*w - 58]', '[977, 977, 7*w - 65]', '[991, 991, w + 459]', '[991, 991, w + 531]', '[997, 997, w + 385]', '[997, 997, w + 611]']}
• 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': [3], 'class_number': 3, 'cm': False, 'coeffs': [-57, -1, 1], 'conductor': 229, 'degree': 2, 'dirichlet_group': [1, 228], 'disc_abs': 229, 'disc_rad': 229, 'disc_sign': 1, 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [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_disc_exponents': [1], 'galois_label': '2T1', 'galt': 1, 'grd': 15.132745950421556, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '2.2.229.1', 'local_algs': ['m229.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 0, 'ramps': [229], 'rd': 15.1327459504, 'regulator': {'__RealLiteral__': 0, 'data': '2.71246530518', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a + 7 \\)'], 'used_grh': False, 'zk': ['1', 'a']}