data:
- - BadPrimes:
    - 41
    Baselabel: 1.41.2t1.a
    CharacterField: 1
    Conductor: 41
    Container: 2t1
    Dets:
    - '41.40'
    Dim: 1
    GalConjSigns:
    - 1
    Galn: 2
    GaloisConjugates:
    - Character:
      - - 1
      - - -1
      GalOrbIndex: 1
      HardFactors:
      - 3
      LocalFactors:
      - - - 1
        - - -1
      - - - 1
        - - 1
      - - - 1
      Sign: 1
    GaloisConjugatesSigns:
    - 1
    GaloisLabel: 2T1
    Galt: 1
    HardPrimes:
    - 41
    Hide: 0
    Indicator: 1
    Is_Even: true
    NFGal:
    - -10
    - -1
    - 1
    NumBadPrimes: 1
    Proj_GAP:
    - 1
    - 1
    Proj_Polynomial:
    - 0
    - 1
    Proj_nTj:
    - 1
    - 1
    id: 27
- - ArtinReps:
    - Baselabel: 1.1.1t1.a
      Character:
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.41.2t1.a
      Character:
      - - 1
      - - -1
      CharacterField: 1
      GalConj: 1
    ComplexConjugation: 1
    ConjClasses:
    - Order: 1
      Representative:
      - 1
      - 2
      Size: '1'
    - Order: 2
      Representative:
      - 2
      - 1
      Size: '1'
    FrobResolvents:
    - Algorithm: CYC
      Classes: 1
      CycleType:
      - 1
      - 1
      Data: 0
    - Algorithm: CYC
      Classes: 2
      CycleType:
      - 2
      Data: 0
    Frobs:
    - 1
    - 2
    - 1
    - 2
    - 2
    - 2
    - 2
    - 2
    - 1
    - 2
    - 1
    - 1
    - 1
    - 1
    - 2
    - 2
    - 1
    - 1
    - 2
    - 2
    - 1
    - 2
    - 1
    - 2
    - 2
    - 2
    - 1
    - 1
    - 2
    - 1
    - 1
    - 1
    - 2
    - 1
    - 2
    - 2
    - 2
    - 1
    - 2
    - 1
    - 2
    - 2
    - 2
    - 2
    - 1
    - 2
    - 2
    - 1
    - 2
    - 2
    - 2
    - 2
    - 1
    - 1
    - 2
    - 2
    - 1
    - 1
    - 1
    - 2
    - 1
    - 2
    - 1
    - 2
    - 2
    - 2
    - 2
    - 1
    - 2
    - 1
    - 1
    - 1
    - 1
    - 1
    - 1
    - 2
    - 1
    - 2
    - 1
    - 1
    - 1
    - 2
    - 1
    - 1
    - 2
    - 1
    - 1
    - 2
    - 1
    - 2
    - 1
    - 2
    - 1
    - 1
    - 2
    - 2
    - 2
    - 2
    - 1
    - 1
    - 2
    - 2
    - 2
    - 1
    - 2
    - 2
    - 2
    - 2
    - 1
    - 2
    - 1
    - 1
    - 1
    - 1
    - 1
    - 2
    - 2
    - 1
    - 2
    - 2
    - 1
    - 2
    - 1
    - 2
    - 2
    - 1
    - 2
    - 2
    - 2
    - 1
    - 1
    - 1
    - 2
    - 2
    - 1
    - 1
    - 2
    - 1
    - 1
    - 2
    - 1
    - 1
    - 2
    - 2
    - 1
    - 2
    - 1
    - 1
    - 1
    - 1
    - 1
    - 1
    - 2
    - 2
    - 1
    - 1
    - 2
    - 2
    - 2
    - 1
    - 1
    - 1
    - 2
    - 2
    - 2
    - 1
    - 2
    - 2
    G-Gens:
    - - 2
      - 1
    G-Name: C2
    Polynomial:
    - -10
    - -1
    - 1
    QpRts:
    - - '1215'
    - - '-1214'
    QpRts-minpoly:
    - -1
    - 1
    QpRts-p: 5
    QpRts-prec: 5
    Size: 2
    TransitiveDegree: 2
    id: 27
label_cols:
- Baselabel
- Polynomial
labels:
- 1.41.2t1.a
- - -10
  - -1
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-04-25T11:44:27.461551'