data: - - BadPrimes: - 19 Baselabel: 1.19.3t1.a CharacterField: 3 Conductor: 19 Container: 3t1 Dets: - '19.7' - '19.11' Dim: 1 GalConjSigns: - 0 - 0 Galn: 3 GaloisConjugates: - Character: - - 1 - - 0 - 1 - - -1 - -1 GalOrbIndex: 1 HardFactors: - 2 - 4 LocalFactors: - - - 1 - - -1 - - - 1 - - 0 - -1 - - - 1 - - 1 - 1 - - - 1 Sign: 0 - Character: - - 1 - - -1 - -1 - - 0 - 1 GalOrbIndex: 2 HardFactors: - 2 - 4 LocalFactors: - - - 1 - - -1 - - - 1 - - 1 - 1 - - - 1 - - 0 - -1 - - - 1 Sign: 0 GaloisConjugatesSigns: - 0 - 0 GaloisLabel: 3T1 Galt: 1 HardPrimes: - 2 - 19 Hide: 0 Indicator: 0 Is_Even: true NFGal: - 7 - -6 - -1 - 1 NumBadPrimes: 1 Proj_GAP: - 1 - 1 Proj_Polynomial: - 0 - 1 Proj_nTj: - 1 - 1 id: 188440 - - ArtinReps: - Baselabel: 1.1.1t1.a Character: - - 1 - - 1 - - 1 CharacterField: 1 GalConj: 1 - Baselabel: 1.19.3t1.a Character: - - 1 - 0 - - 0 - 1 - - -1 - -1 CharacterField: 3 GalConj: 1 - Baselabel: 1.19.3t1.a Character: - - 1 - 0 - - -1 - -1 - - 0 - 1 CharacterField: 3 GalConj: 2 ComplexConjugation: 1 ConjClasses: - Order: 1 Representative: - 1 - 2 - 3 Size: '1' - Order: 3 Representative: - 2 - 3 - 1 Size: '1' - Order: 3 Representative: - 3 - 1 - 2 Size: '1' FrobResolvents: - Algorithm: CYC Classes: 1 CycleType: - 1 - 1 - 1 Data: 0 - Algorithm: ALT Classes: - ConjugacyClass: 2 RootOf: - '19' - '1' - ConjugacyClass: 3 RootOf: - '-19' - '1' CycleType: - 3 Data: - 2 - 3 - 1 Frobs: - 2 - 2 - 2 - 1 - 1 - 3 - 2 - 1 - 3 - 3 - 1 - 1 - 2 - 2 - 3 - 3 - 2 - 3 - 3 - 2 - 2 - 2 - 1 - 3 - 2 - 3 - 1 - 1 - 2 - 1 - 3 - 2 - 3 - 3 - 2 - 1 - 2 - 1 - 3 - 2 - 1 - 3 - 1 - 2 - 1 - 3 - 2 - 2 - 1 - 1 - 2 - 1 - 3 - 3 - 3 - 2 - 2 - 2 - 1 - 3 - 2 - 1 - 2 - 1 - 3 - 3 - 1 - 2 - 2 - 1 - 1 - 2 - 3 - 1 - 1 - 2 - 3 - 2 - 2 - 3 - 1 - 2 - 3 - 3 - 2 - 3 - 1 - 1 - 2 - 1 - 1 - 3 - 1 - 2 - 2 - 3 - 3 - 1 - 3 - 3 - 3 - 3 - 1 - 1 - 1 - 1 - 2 - 3 - 3 - 1 - 1 - 2 - 3 - 1 - 3 - 2 - 2 - 1 - 1 - 3 - 3 - 1 - 1 - 1 - 1 - 2 - 3 - 2 - 2 - 1 - 2 - 2 - 3 - 2 - 1 - 3 - 3 - 1 - 1 - 1 - 3 - 3 - 3 - 3 - 1 - 2 - 2 - 2 - 3 - 1 - 2 - 1 - 3 - 3 - 2 - 1 - 1 - 2 - 3 - 3 - 2 - 2 - 2 - 2 - 1 - 2 - 2 - 3 G-Gens: - - 2 - 3 - 1 G-Name: C3 Polynomial: - 7 - -6 - -1 - 1 QpRts: - - '-2065' - - '-4757' - - '6823' QpRts-minpoly: - -1 - 1 QpRts-p: 7 QpRts-prec: 5 Size: 3 TransitiveDegree: 3 id: 188440 label_cols: - Baselabel - Polynomial labels: - 1.19.3t1.a - - 7 - -6 - -1 - 1 tables: - artin_reps - artin_field_data timestamp: '2024-03-29T06:56:50.286244'