Artin representation data - 6.296065125.8t33.b

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• artin_reps •

  Column	Type
  BadPrimes	jsonb
  Baselabel	text
  CharacterField	smallint
  Conductor	numeric
  Container	text
  Dets	text[]
  Dim	smallint
  GalConjSigns	jsonb
  Galn	smallint
  GaloisConjugates	jsonb
  GaloisConjugatesSigns	integer[]
  GaloisLabel	text
  Galt	integer
  HardPrimes	jsonb
  Hide	smallint
  Indicator	smallint
  Is_Even	boolean
  NFGal	jsonb
  NumBadPrimes	smallint
  Proj_GAP	integer[]
  Proj_Polynomial	numeric[]
  Proj_nTj	integer[]

  
  {'BadPrimes': [3, 5, 19], 'Baselabel': '6.296065125.8t33.b', 'CharacterField': 1, 'Conductor': 296065125, 'Container': '8t33', 'Dets': ['1.5.2t1.a.a'], 'Dim': 6, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[6], [-2], [0], [-2], [2], [0], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [9, 11, 12, 6, 13, 2, 6, 9], 'LocalFactors': [[[1], [-6], [15], [-20], [15], [-6], [1]], [[1], [2], [-1], [-4], [-1], [2], [1]], [[1], [0], [-3], [0], [3], [0], [-1]], [[1], [2], [-1], [-4], [-1], [2], [1]], [[1], [-2], [-1], [4], [-1], [-2], [1]], [[1], [0], [0], [-2], [0], [0], [1]], [[1], [0], [0], [-2], [0], [0], [1]], [[1], [0], [1], [0], [-1], [0], [-1]], [[1], [0], [0], [0], [0], [0], [-1]], [[1], [0], [0], [0], [0], [0], [-1]], [[1], [0], [-1]], [[1], [0], [0], [-1]], [[1], [2], [0], [-2], [-1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T33', 'Galt': 33, 'HardPrimes': [2, 3, 5, 11, 19, 1005490979, 4348745701, 1899360267377], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [5, 15, 11, -5, -3, 7, 1, -3, 1], 'NumBadPrimes': 3, 'Proj_GAP': [96, 70], 'Proj_Polynomial': [5, 15, 11, -5, -3, 7, 1, -3, 1], 'Proj_nTj': [8, 33]}
• artin_field_data •

  Column	Type
  ArtinReps	jsonb
  ComplexConjugation	smallint
  ConjClasses	jsonb
  FrobResolvents	jsonb
  Frobs	jsonb
  G-Gens	jsonb
  G-Name	text
  Polynomial	jsonb
  QpRts	jsonb
  QpRts-minpoly	jsonb
  QpRts-p	integer
  QpRts-prec	integer
  Size	numeric
  TransitiveDegree	smallint

  
  {'ArtinReps': [{'GalConj': 1, 'Baselabel': '1.1.1t1.a', 'Character': [[1], [1], [1], [1], [1], [1], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.5.2t1.a', 'Character': [[1], [1], [-1], [1], [1], [1], [1], [-1], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '1.45.6t1.a', 'Character': [[1, 0], [1, 0], [-1, 0], [1, 0], [1, 0], [0, 1], [-1, -1], [-1, 0], [0, -1], [1, 1]], 'CharacterField': 3}, {'GalConj': 1, 'Baselabel': '1.9.3t1.a', 'Character': [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0], [-1, -1], [0, 1], [1, 0], [-1, -1], [0, 1]], 'CharacterField': 3}, {'GalConj': 2, 'Baselabel': '1.9.3t1.a', 'Character': [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0], [0, 1], [-1, -1], [1, 0], [0, 1], [-1, -1]], 'CharacterField': 3}, {'GalConj': 2, 'Baselabel': '1.45.6t1.a', 'Character': [[1, 0], [1, 0], [-1, 0], [1, 0], [1, 0], [-1, -1], [0, 1], [-1, 0], [1, 1], [0, -1]], 'CharacterField': 3}, {'GalConj': 1, 'Baselabel': '3.29241.4t4.b', 'Character': [[3], [3], [3], [-1], [-1], [0], [0], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '3.3655125.6t6.a', 'Character': [[3], [3], [-3], [-1], [-1], [0], [0], [1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.106879510125.8t33.b', 'Character': [[6], [-2], [0], [2], [-2], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '6.296065125.8t33.b', 'Character': [[6], [-2], [0], [-2], [2], [0], [0], [0], [0], [0]], 'CharacterField': 1}], 'ComplexConjugation': 4, 'ConjClasses': [{'Size': '1', 'Order': 1, 'Representative': [1, 2, 3, 4, 5, 6, 7, 8]}, {'Size': '3', 'Order': 2, 'Representative': [6, 5, 7, 8, 2, 1, 3, 4]}, {'Size': '4', 'Order': 2, 'Representative': [7, 4, 6, 2, 8, 3, 1, 5]}, {'Size': '6', 'Order': 2, 'Representative': [4, 3, 2, 1, 7, 8, 5, 6]}, {'Size': '6', 'Order': 2, 'Representative': [6, 2, 3, 8, 5, 1, 7, 4]}, {'Size': '16', 'Order': 3, 'Representative': [8, 2, 5, 1, 7, 6, 3, 4]}, {'Size': '16', 'Order': 3, 'Representative': [4, 2, 7, 8, 3, 6, 5, 1]}, {'Size': '12', 'Order': 4, 'Representative': [7, 8, 1, 2, 4, 3, 6, 5]}, {'Size': '16', 'Order': 6, 'Representative': [5, 4, 8, 7, 1, 3, 6, 2]}, {'Size': '16', 'Order': 6, 'Representative': [5, 8, 6, 2, 1, 7, 4, 3]}], 'FrobResolvents': [{'Data': 0, 'Classes': 1, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 1, 1, 1, 1]}, {'Data': 0, 'Classes': 5, 'Algorithm': 'CYC', 'CycleType': [1, 1, 1, 1, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['1661330879614183296', '-896415364485795032', '271536776871179544', '-56437768908013338', '8940172157501629', '-1133153767133772', '118578558624399', '-10417390125814', '778607799777', '-49533577068', '2701552451', '-124296048', '4862061', '-153730', '4011', '-72', '1'], 'ConjugacyClass': 6}, {'RootOf': ['427703852504324865', '-153257059269408383', '38438809294161645', '-7041246862267188', '1018228020732868', '-123576513520506', '13573318152843', '-1340279518537', '116973437949', '-8970151377', '607782236', '-36271368', '1867257', '-81154', '2859', '-72', '1'], 'ConjugacyClass': 7}], 'Algorithm': 'RES', 'CycleType': [1, 1, 3, 3]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['197', '-24', '-21', '1'], 'ConjugacyClass': 2}, {'RootOf': ['21861', '-4330', '183', '-3', '1'], 'ConjugacyClass': 3}, {'RootOf': ['3511', '-4371', '-1434', '1897', '357', '-42', '1'], 'ConjugacyClass': 4}], 'Algorithm': 'RES', 'CycleType': [2, 2, 2, 2]}, {'Data': {'Powers': [1], 'Resolvent': [0, 0, 1]}, 'Classes': [{'RootOf': ['1774005589034496', '-371857065247232', '208001940493824', '-54956492744448', '7601348104384', '-1143793568832', '169576707144', '-15677894224', '1434729312', '-157250043', '9295916', '-410643', '53661', '-2215', '-39', '-12', '1'], 'ConjugacyClass': 9}, {'RootOf': ['5557862272661505', '3155529075734107', '1039787312624190', '217759151197302', '32462638014298', '3175571784819', '177399485643', '-3913364152', '-1398015756', '-108889497', '3016121', '713637', '61032', '-1459', '-111', '-12', '1'], 'ConjugacyClass': 10}], 'Algorithm': 'RES', 'CycleType': [2, 6]}, {'Data': 0, 'Classes': 8, 'Algorithm': 'CYC', 'CycleType': [4, 4]}], 'Frobs': [9, 9, 7, 9, 6, 10, 8, 4, 10, 6, 7, 8, 7, 9, 9, 8, 7, 6, 10, 5, 8, 6, 9, 4, 9, 6, 10, 8, 1, 10, 8, 7, 9, 7, 7, 6, 10, 8, 10, 9, 2, 4, 6, 10, 8, 4, 7, 9, 9, 7, 8, 7, 6, 5, 10, 9, 5, 5, 9, 6, 10, 10, 8, 7, 9, 9, 6, 10, 10, 6, 9, 5, 9, 10, 4, 10, 6, 8, 7, 7, 7, 6, 4, 8, 6, 9, 2, 9, 6, 10, 3, 6, 8, 7, 7, 8, 7, 2, 8, 5, 9, 3, 10, 6, 7, 8, 9, 8, 7, 6, 10, 8, 10, 6, 4, 6, 10, 8, 10, 6, 7, 9, 9, 8, 6, 4, 6, 5, 9, 10, 2, 10, 7, 8, 7, 7, 3, 10, 10, 2, 4, 6, 10, 8, 4, 6, 9, 9, 7, 8, 10, 5, 8, 10, 9, 6, 5, 6, 8, 7, 9, 8, 10, 5, 10, 9, 5, 9], 'G-Gens': [[6, 2, 5, 4, 7, 8, 3, 1], [6, 2, 3, 8, 5, 1, 7, 4], [4, 3, 2, 1, 7, 8, 5, 6], [6, 5, 7, 8, 2, 1, 3, 4], [7, 4, 6, 2, 8, 3, 1, 5], [8, 2, 3, 6, 5, 4, 7, 1]], 'G-Name': 'C2^4:C6', 'Polynomial': [5, 15, 11, -5, -3, 7, 1, -3, 1], 'QpRts': [['-58113811006544077549550764019769273', '0', '0'], ['-40434057464877362969977735513471291', '21468938965815709094003316517699426', '-32860097604132452673127454693876368'], ['-6328981891449247388915401803317804', '8078299325886710827099330182511582', '-38577516127744630325201637613626173'], ['286974274037761373310687763715310', '59593229631451129145603747631034313', '51666947060120571016513254730979630'], ['56901257378224332141469749551880694', '-29547238291702419921102646700211008', '-53747287082855974353154640501957140'], ['-30003066488589251941156665389959441', '-45914987146594870947705074391230650', '60245641691833575368533673068088487'], ['3412656773549241010127641798530905', '0', '0'], ['-50905872389084452026791245197068778', '-13678242484856258197898673239803663', '13272312062778910966436805010391564']], 'QpRts-minpoly': [27, 2, 0, 1], 'QpRts-p': 29, 'QpRts-prec': 24, 'Size': 96, 'TransitiveDegree': 8}