data:
- - BadPrimes:
    - 1013
    Baselabel: 1.1013.4t1.a
    CharacterField: 4
    Conductor: 1013
    Container: 4t1
    Dets:
    - '1013.968'
    - '1013.45'
    Dim: 1
    GalConjSigns:
    - 0
    - 0
    Galn: 4
    GaloisConjugates:
    - Character:
      - - 1
      - - -1
      - - 0
        - 1
      - - 0
        - -1
      GalOrbIndex: 1
      HardFactors:
      - 2
      - 1
      - 5
      LocalFactors:
      - - - 1
        - - -1
      - - - 1
        - - 1
      - - - 1
        - - 0
          - -1
      - - - 1
        - - 0
          - 1
      - - - 1
      Sign: 0
    - Character:
      - - 1
      - - -1
      - - 0
        - -1
      - - 0
        - 1
      GalOrbIndex: 2
      HardFactors:
      - 2
      - 1
      - 5
      LocalFactors:
      - - - 1
        - - -1
      - - - 1
        - - 1
      - - - 1
        - - 0
          - 1
      - - - 1
        - - 0
          - -1
      - - - 1
      Sign: 0
    GaloisConjugatesSigns:
    - 0
    - 0
    GaloisLabel: 4T1
    Galt: 1
    HardPrimes:
    - 11
    - 223
    - 1013
    Hide: 0
    Indicator: 0
    Is_Even: false
    NFGal:
    - 26983
    - 2849
    - 127
    - -1
    - 1
    NumBadPrimes: 1
    Proj_GAP:
    - 1
    - 1
    Proj_Polynomial:
    - 0
    - 1
    Proj_nTj:
    - 1
    - 1
    id: 191839
- - ArtinReps:
    - Baselabel: 1.1.1t1.a
      Character:
      - - 1
      - - 1
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.1013.4t1.a
      Character:
      - - 1
        - 0
      - - -1
        - 0
      - - 0
        - 1
      - - 0
        - -1
      CharacterField: 4
      GalConj: 1
    - Baselabel: 1.1013.2t1.a
      Character:
      - - 1
      - - 1
      - - -1
      - - -1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.1013.4t1.a
      Character:
      - - 1
        - 0
      - - -1
        - 0
      - - 0
        - -1
      - - 0
        - 1
      CharacterField: 4
      GalConj: 2
    ComplexConjugation: 2
    ConjClasses:
    - Order: 1
      Representative:
      - 1
      - 2
      - 3
      - 4
      Size: '1'
    - Order: 2
      Representative:
      - 3
      - 4
      - 1
      - 2
      Size: '1'
    - Order: 4
      Representative:
      - 2
      - 3
      - 4
      - 1
      Size: '1'
    - Order: 4
      Representative:
      - 4
      - 1
      - 2
      - 3
      Size: '1'
    FrobResolvents:
    - Algorithm: CYC
      Classes: 1
      CycleType:
      - 1
      - 1
      - 1
      - 1
      Data: 0
    - Algorithm: CYC
      Classes: 2
      CycleType:
      - 2
      - 2
      Data: 0
    - Algorithm: RES
      Classes:
      - ConjugacyClass: 3
        RootOf:
        - '-8294'
        - '1'
      - ConjugacyClass: 4
        RootOf:
        - '2849'
        - '1'
      CycleType:
      - 4
      Data:
        Powers:
        - 1
        Resolvent:
        - 0
        - 0
        - 1
    Frobs:
    - 4
    - 3
    - 3
    - 3
    - 2
    - 2
    - 3
    - 1
    - 2
    - 3
    - 3
    - 4
    - 3
    - 2
    - 3
    - 2
    - 3
    - 3
    - 3
    - 2
    - 2
    - 2
    - 1
    - 1
    - 1
    - 4
    - 3
    - 3
    - 4
    - 1
    - 1
    - 3
    - 4
    - 4
    - 1
    - 4
    - 1
    - 1
    - 1
    - 2
    - 3
    - 2
    - 3
    - 2
    - 1
    - 2
    - 1
    - 1
    - 4
    - 1
    - 1
    - 3
    - 2
    - 2
    - 1
    - 3
    - 3
    - 1
    - 4
    - 2
    - 1
    - 3
    - 3
    - 2
    - 4
    - 3
    - 1
    - 1
    - 2
    - 4
    - 1
    - 3
    - 2
    - 1
    - 2
    - 3
    - 3
    - 2
    - 4
    - 4
    - 2
    - 3
    - 2
    - 2
    - 4
    - 4
    - 2
    - 4
    - 2
    - 3
    - 3
    - 2
    - 2
    - 1
    - 3
    - 1
    - 2
    - 2
    - 1
    - 1
    - 3
    - 1
    - 3
    - 1
    - 1
    - 4
    - 1
    - 4
    - 3
    - 3
    - 4
    - 1
    - 1
    - 3
    - 2
    - 2
    - 3
    - 4
    - 2
    - 4
    - 4
    - 2
    - 1
    - 3
    - 1
    - 2
    - 2
    - 1
    - 3
    - 3
    - 1
    - 3
    - 2
    - 2
    - 4
    - 3
    - 1
    - 3
    - 2
    - 2
    - 1
    - 3
    - 2
    - 4
    - 3
    - 4
    - 2
    - 4
    - 1
    - 1
    - 1
    - 4
    - 1
    - 1
    - 4
    - 4
    - 2
    - 2
    - 1
    - 3
    - 1
    - 2
    - 4
    - 4
    - 2
    - 4
    - 4
    - 2
    G-Gens:
    - - 2
      - 3
      - 4
      - 1
    - - 3
      - 4
      - 1
      - 2
    G-Name: C4
    Polynomial:
    - 26983
    - 2849
    - 127
    - -1
    - 1
    QpRts:
    - - '132566'
    - - '128805'
    - - '-901764'
    - - '640394'
    QpRts-minpoly:
    - -1
    - 1
    QpRts-p: 19
    QpRts-prec: 5
    Size: 4
    TransitiveDegree: 4
    id: 192064
label_cols:
- Baselabel
- Polynomial
labels:
- 1.1013.4t1.a
- - 26983
  - 2849
  - 127
  - -1
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-05-21T05:55:37.970342'