data: - - BadPrimes: - 2 - 7 - 17 Baselabel: 2.3332.4t3.b CharacterField: 1 Conductor: 3332 Container: 4t3 Dets: - 1.68.2t1.a.a Dim: 2 GalConjSigns: - 1 Galn: 4 GaloisConjugates: - Character: - - 2 - - -2 - - 0 - - 0 - - 0 GalOrbIndex: 1 HardFactors: - 6 - 7 - 6 - 3 LocalFactors: - - - 1 - - -2 - - 1 - - - 1 - - 2 - - 1 - - - 1 - - 0 - - -1 - - - 1 - - 0 - - -1 - - - 1 - - 0 - - 1 - - - 1 - - 1 - - - 1 Sign: 1 GaloisConjugatesSigns: - 1 GaloisLabel: 4T3 Galt: 3 HardPrimes: - 2 - 7 - 17 - 47 Hide: 0 Indicator: 1 Is_Even: false NFGal: - 53 - -14 - -3 - 0 - 1 NumBadPrimes: 3 Proj_GAP: - 4 - 2 Proj_Polynomial: - 16 - 0 - 9 - 0 - 1 Proj_nTj: - 4 - 2 id: 418264 - - ArtinReps: - Baselabel: 1.1.1t1.a Character: - - 1 - - 1 - - 1 - - 1 - - 1 CharacterField: 1 GalConj: 1 - Baselabel: 1.4.2t1.a Character: - - 1 - - 1 - - -1 - - 1 - - -1 CharacterField: 1 GalConj: 1 - Baselabel: 1.17.2t1.a Character: - - 1 - - 1 - - 1 - - -1 - - -1 CharacterField: 1 GalConj: 1 - Baselabel: 1.68.2t1.a Character: - - 1 - - 1 - - -1 - - -1 - - 1 CharacterField: 1 GalConj: 1 - Baselabel: 2.3332.4t3.b Character: - - 2 - - -2 - - 0 - - 0 - - 0 CharacterField: 1 GalConj: 1 ComplexConjugation: 3 ConjClasses: - Order: 1 Representative: - 1 - 2 - 3 - 4 Size: '1' - Order: 2 Representative: - 2 - 1 - 4 - 3 Size: '1' - Order: 2 Representative: - 3 - 4 - 1 - 2 Size: '2' - Order: 2 Representative: - 2 - 1 - 3 - 4 Size: '2' - Order: 4 Representative: - 4 - 3 - 1 - 2 Size: '2' FrobResolvents: - Algorithm: CYC Classes: 1 CycleType: - 1 - 1 - 1 - 1 Data: 0 - Algorithm: CYC Classes: 4 CycleType: - 1 - 1 - 2 Data: 0 - Algorithm: RES Classes: - ConjugacyClass: 2 RootOf: - '-10' - '1' - ConjugacyClass: 3 RootOf: - '-7208' - '34' - '1' CycleType: - 2 - 2 Data: Powers: - 1 Resolvent: - 1 - -3 - 1 - Algorithm: CYC Classes: 5 CycleType: - 4 Data: 0 Frobs: - 2 - 5 - 4 - 5 - 5 - 1 - 4 - 3 - 5 - 4 - 5 - 4 - 4 - 3 - 3 - 1 - 3 - 4 - 3 - 5 - 4 - 5 - 3 - 1 - 4 - 1 - 3 - 5 - 4 - 4 - 3 - 5 - 2 - 5 - 1 - 3 - 2 - 5 - 5 - 4 - 3 - 4 - 3 - 4 - 4 - 5 - 5 - 3 - 5 - 1 - 4 - 3 - 4 - 3 - 1 - 3 - 4 - 3 - 4 - 1 - 5 - 2 - 3 - 5 - 4 - 4 - 3 - 4 - 5 - 2 - 2 - 3 - 5 - 2 - 5 - 3 - 2 - 4 - 4 - 2 - 5 - 2 - 5 - 1 - 5 - 3 - 4 - 2 - 2 - 3 - 3 - 5 - 5 - 3 - 5 - 5 - 2 - 4 - 3 - 4 - 5 - 2 - 3 - 1 - 5 - 1 - 3 - 2 - 3 - 4 - 5 - 1 - 4 - 5 - 3 - 4 - 5 - 3 - 4 - 3 - 2 - 4 - 4 - 5 - 5 - 2 - 4 - 5 - 3 - 2 - 3 - 5 - 5 - 2 - 1 - 1 - 1 - 5 - 2 - 4 - 5 - 4 - 5 - 5 - 2 - 5 - 4 - 4 - 3 - 3 - 4 - 4 - 3 - 5 - 5 - 5 - 3 - 4 - 2 - 4 - 5 - 2 - 3 - 3 - 1 - 5 - 5 - 4 G-Gens: - - 3 - 4 - 1 - 2 - - 1 - 2 - 4 - 3 G-Name: D8 Polynomial: - 53 - -14 - -3 - 0 - 1 QpRts: - - '7948697' - - '-14775015' - - '22412240' - - '-15585922' QpRts-minpoly: - -1 - 1 QpRts-p: 13 QpRts-prec: 7 Size: 8 TransitiveDegree: 4 id: 418489 label_cols: - Baselabel - Polynomial labels: - 2.3332.4t3.b - - 53 - -14 - -3 - 0 - 1 tables: - artin_reps - artin_field_data timestamp: '2024-03-29T11:32:55.279439'