Artin representation data - 70.59016695979796903189671030336103880599899536546706113510462398485376470448700933031830794227899628932208516683788334840174015716296149275377437708869762337735502451514804547629053801764946043923320308820115603135729471109879488607470957425543316278921060343998528431568953907942937110754123402384112093599769621745776180854427079692241715708815385536672320002657161858536581947903538610248914145586055856607561722944815104.120.a

Formats: - HTML - YAML - JSON - 2024-05-13T21:46:48.682522

• 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': [2, 43, 107, 179], 'Baselabel': '70.59016695979796903189671030336103880599899536546706113510462398485376470448700933031830794227899628932208516683788334840174015716296149275377437708869762337735502451514804547629053801764946043923320308820115603135729471109879488607470957425543316278921060343998528431568953907942937110754123402384112093599769621745776180854427079692241715708815385536672320002657161858536581947903538610248914145586055856607561722944815104.120.a', 'CharacterField': 1, 'Conductor': 59016695979796903189671030336103880599899536546706113510462398485376470448700933031830794227899628932208516683788334840174015716296149275377437708869762337735502451514804547629053801764946043923320308820115603135729471109879488607470957425543316278921060343998528431568953907942937110754123402384112093599769621745776180854427079692241715708815385536672320002657161858536581947903538610248914145586055856607561722944815104, 'Container': '120', 'Dets': ['1.1.1t1.a.a'], 'Dim': 70, 'GalConjSigns': [1], 'Galn': 8, 'GaloisConjugates': [{'Sign': 1, 'Character': [[70], [-2], [2], [-5], [1], [-2], [0], [0], [-1], [1], [0], [0], [0], [0]], 'GalOrbIndex': 1, 'HardFactors': [15, 10, 16, 17, 17], 'LocalFactors': [[[1], [-70], [2415], [-54740], [916895], [-12103014], [131115985], [-1198774720], [9440350920], [-65033528560], [396704524216], [-2163842859360], [10638894058520], [-47465835030320], [193253756909160], [-721480692460864], [2480089880334220], [-7877932561061640], [23196134763125940], [-63484158299081520], [161884603662657876], [-385439532530137800], [858478958817125100], [-1791608261879217600], [3508566179513467800], [-6455761770304780752], ['11173433833219812840'], ['-18208558839321176480'], ['27963143931814663880'], ['-40498346384007444240'], ['55347740058143507128'], ['-71416438784701299520'], ['87038784768854708790'], ['-100226479430802391940'], ['109069992321755544170'], ['-112186277816662845432'], ['109069992321755544170'], ['-100226479430802391940'], ['87038784768854708790'], ['-71416438784701299520'], ['55347740058143507128'], ['-40498346384007444240'], ['27963143931814663880'], ['-18208558839321176480'], ['11173433833219812840'], [-6455761770304780752], [3508566179513467800], [-1791608261879217600], [858478958817125100], [-385439532530137800], [161884603662657876], [-63484158299081520], [23196134763125940], [-7877932561061640], [2480089880334220], [-721480692460864], [193253756909160], [-47465835030320], [10638894058520], [-2163842859360], [396704524216], [-65033528560], [9440350920], [-1198774720], [131115985], [-12103014], [916895], [-54740], [2415], [-70], [1]], [[1], [2], [-33], [-68], [527], [1122], [-5423], [-11968], [40392], [92752], [-231880], [-556512], [1066648], [2689808], [-4034712], [-10759232], [12776588], [36312408], [-34295052], [-104902512], [78676884], [262256280], [-154969620], [-572195520], [262256280], [1096708080], [-379629720], [-1855967520], [463991880], [2783951280], [-463991880], [-3711935040], 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[-880], [-200], [480], [344], [208], [72], [-64], [-47], [-30], [-13], [4], [3], [2], [1]], [[1], [0], [-1], [0], [-17], [0], [17], [0], [136], [0], [-136], [0], [-680], [0], [680], [0], [2380], [0], [-2380], [0], [-6188], [0], [6188], [0], [12376], [0], [-12376], [0], [-19448], [0], [19448], [0], [24310], [0], [-24310], [0], [-24310], [0], [24310], [0], [19448], [0], [-19448], [0], [-12376], [0], [12376], [0], [6188], [0], [-6188], [0], [-2380], [0], [2380], [0], [680], [0], [-680], [0], [-136], [0], [136], [0], [17], [0], [-17], [0], [-1], [0], [1]], [[1], [0], [0], [0], [0], [-14], [0], [0], [0], [0], [91], [0], [0], [0], [0], [-364], [0], [0], [0], [0], [1001], [0], [0], [0], [0], [-2002], [0], [0], [0], [0], [3003], [0], [0], [0], [0], [-3432], [0], [0], [0], [0], [3003], [0], [0], [0], [0], [-2002], [0], [0], [0], [0], [1001], [0], [0], [0], [0], [-364], [0], [0], [0], [0], [91], [0], [0], [0], [0], [-14], [0], [0], [0], [0], [1]], [[1], [1], [3], [2], [5], [3], [-5], [-8], [-27], [-19], [-49], [-30], [-5], [25], [105], [80], [215], [135], [105], [-30], [-225], [-195], [-555], [-360], [-390], [-30], [270], [300], [930], [630], [798], [168], [-126], [-294], [-1050], [-756], [-1050], [-294], [-126], [168], [798], [630], [930], [300], [270], [-30], [-390], [-360], [-555], [-195], [-225], [-30], [105], [135], [215], [80], [105], [25], [-5], [-30], [-49], [-19], [-27], [-8], [-5], [3], [5], [2], [3], [1], [1]], [[1], [-1], [0], [1], [-1], [0], [-11], [11], [0], [-11], [11], [0], [55], [-55], [0], [55], [-55], [0], [-165], [165], [0], [-165], [165], [0], [330], [-330], [0], [330], [-330], [0], [-462], [462], [0], [-462], [462], [0], [462], [-462], [0], [462], [-462], [0], [-330], [330], [0], [-330], [330], [0], [165], [-165], [0], [165], [-165], [0], [-55], [55], [0], [-55], [55], [0], [11], [-11], [0], [11], [-11], [0], [-1], [1], [0], [-1], [1]], [[1], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-252], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-252], [0], [0], [0], [0], [0], [0], [210], [0], [0], [0], [0], [0], [0], [-120], [0], [0], [0], [0], [0], [0], [45], [0], [0], [0], [0], [0], [0], [-10], [0], [0], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1]], [[1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [6], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [-4], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1], [0], [0], [0], [0], [1]], [[1], [2], [1]], [[1], [-10], [45], [-120], [210], [-252], [210], [-120], [45], [-10], [1]], [[1], [-1], [0], [-3], [3], [0], [3], [-3], [0], [-1], [1]]]}], 'GaloisConjugatesSigns': [1], 'GaloisLabel': '8T49', 'Galt': 49, 'HardPrimes': [2, 3, 43, 107, 179], 'Hide': 0, 'Indicator': 1, 'Is_Even': True, 'NFGal': [823572, -48, -140, -224, -210, -112, -28, 0, 1], 'NumBadPrimes': 4, 'Proj_GAP': [0, 0], 'Proj_Polynomial': [823572, -48, -140, -224, -210, -112, -28, 0, 1], 'Proj_nTj': [8, 49]}
• 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], [1], [1], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '7.81803428774472904272307991671908472193024.8t49.a', 'Character': [[7], [-1], [3], [4], [1], [-1], [1], [2], [0], [-1], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '14.6691800959260261524989557833098666914517263464001265492376454314331705835914264576.15t72.a', 'Character': [[14], [6], [2], [-1], [2], [2], [0], [-1], [-1], [0], [0], [0], [-1], [-1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '20.547412263143796260651164809894166661274444549795150539175566846599677122422153050393355170500734625865226237535402877517824.28t433.a', 'Character': [[20], [4], [4], [5], [-1], [0], [0], [0], [1], [1], [-1], [-1], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.8968802519347957934508684245306026578320499503843746433852487214689109973764555577644731113484036110175866675780040745252028416.56.a', 'Character': [[21], [-3], [1], [6], [0], [1], [-1], [1], [-2], [0], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '21.8968802519347957934508684245306026578320499503843746433852487214689109973764555577644731113484036110175866675780040745252028416.336.a', 'Character': [[21, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, 1, -1, 2, -1, 0, 1], [1, -2, -1, 1, -2, 1, 0, -1]], 'CharacterField': 15}, {'GalConj': 2, 'Baselabel': '21.8968802519347957934508684245306026578320499503843746433852487214689109973764555577644731113484036110175866675780040745252028416.336.a', 'Character': [[21, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, -2, -1, 1, -2, 1, 0, -1], [-2, 2, 1, -1, 2, -1, 0, 1]], 'CharacterField': 15}, {'GalConj': 1, 'Baselabel': '28.733678798083793818846815636790003837121534483383039940204043295757973822380008242845044637712290728843841211596848422914144058391616775997435785101670508706667884969984.56.a', 'Character': [[28], [-4], [4], [1], [1], [0], [0], [-2], [1], [-1], [0], [0], [1], [1]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '35.983325758298333432739472346831683783169622592307299367168097164471684040029546894302854739614807015997808894697736296766395145328333406700978570876843002102554323628771691186864824483122404006192367745338435436544.70.a', 'Character': [[35], [3], [-5], [5], [2], [-1], [-1], [0], [1], [0], [0], [0], [0], [0]], 'CharacterField': 1}, {'GalConj': 1, 'Baselabel': '45.736214988834978586824887078598173735275964917576818599485961174434340917836333119386105088018830740312720246096531719787116632898806474746056411901316029275157243411745889882971880737948397841553939846010489069307152807525320767876076842238534161528215633189725005713722310656.336.a', 'Character': [[45, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0], [-1, -1, -1, 0, -1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]], 'CharacterField': 7}, {'GalConj': 2, 'Baselabel': 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