data:
- - BadPrimes:
    - 3
    - 19
    Baselabel: 3.29241.4t4.b
    CharacterField: 1
    Conductor: 29241
    Container: 4t4
    Dets:
    - 1.1.1t1.a.a
    Dim: 3
    GalConjSigns:
    - 1
    Galn: 4
    GaloisConjugates:
    - Character:
      - - 3
      - - -1
      - - 0
      - - 0
      GalOrbIndex: 1
      HardFactors:
      - 3
      - 5
      - 5
      LocalFactors:
      - - - 1
        - - -3
        - - 3
        - - -1
      - - - 1
        - - 1
        - - -1
        - - -1
      - - - 1
        - - 0
        - - 0
        - - -1
      - - - 1
        - - 0
        - - 0
        - - -1
      - - - 1
        - - -1
      Sign: 1
    GaloisConjugatesSigns:
    - 1
    GaloisLabel: 4T4
    Galt: 4
    HardPrimes:
    - 2
    - 3
    - 19
    Hide: 0
    Indicator: 1
    Is_Even: true
    NFGal:
    - 20
    - 1
    - 3
    - -1
    - 1
    NumBadPrimes: 2
    Proj_GAP:
    - 12
    - 3
    Proj_Polynomial:
    - 20
    - 1
    - 3
    - -1
    - 1
    Proj_nTj:
    - 4
    - 4
    id: 458638
- - ArtinReps:
    - Baselabel: 1.1.1t1.a
      Character:
      - - 1
      - - 1
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.9.3t1.a
      Character:
      - - 1
        - 0
      - - 1
        - 0
      - - 0
        - 1
      - - -1
        - -1
      CharacterField: 3
      GalConj: 1
    - Baselabel: 1.9.3t1.a
      Character:
      - - 1
        - 0
      - - 1
        - 0
      - - -1
        - -1
      - - 0
        - 1
      CharacterField: 3
      GalConj: 2
    - Baselabel: 3.29241.4t4.b
      Character:
      - - 3
      - - -1
      - - 0
      - - 0
      CharacterField: 1
      GalConj: 1
    ComplexConjugation: 2
    ConjClasses:
    - Order: 1
      Representative:
      - 1
      - 2
      - 3
      - 4
      Size: '1'
    - Order: 2
      Representative:
      - 2
      - 1
      - 4
      - 3
      Size: '3'
    - Order: 3
      Representative:
      - 2
      - 3
      - 1
      - 4
      Size: '4'
    - Order: 3
      Representative:
      - 3
      - 1
      - 2
      - 4
      Size: '4'
    FrobResolvents:
    - Algorithm: CYC
      Classes: 1
      CycleType:
      - 1
      - 1
      - 1
      - 1
      Data: 0
    - Algorithm: ALT
      Classes:
      - ConjugacyClass: 4
        RootOf:
        - '-1368'
        - '1'
      - ConjugacyClass: 3
        RootOf:
        - '1368'
        - '1'
      CycleType:
      - 1
      - 3
      Data:
      - 1
      - 3
      - 4
      - 2
    - Algorithm: CYC
      Classes: 2
      CycleType:
      - 2
      - 2
      Data: 0
    Frobs:
    - 3
    - 1
    - 4
    - 3
    - 3
    - 4
    - 2
    - 1
    - 4
    - 3
    - 4
    - 2
    - 4
    - 3
    - 3
    - 2
    - 4
    - 3
    - 4
    - 2
    - 2
    - 3
    - 3
    - 2
    - 3
    - 3
    - 4
    - 2
    - 1
    - 4
    - 2
    - 4
    - 3
    - 4
    - 4
    - 3
    - 4
    - 2
    - 4
    - 3
    - 1
    - 2
    - 3
    - 4
    - 2
    - 2
    - 4
    - 3
    - 3
    - 4
    - 2
    - 4
    - 3
    - 2
    - 4
    - 3
    - 2
    - 2
    - 3
    - 3
    - 4
    - 4
    - 2
    - 4
    - 3
    - 3
    - 3
    - 4
    - 4
    - 3
    - 3
    - 2
    - 3
    - 4
    - 2
    - 4
    - 3
    - 2
    - 4
    - 4
    - 4
    - 3
    - 2
    - 2
    - 3
    - 3
    - 1
    - 3
    - 3
    - 4
    - 1
    - 3
    - 2
    - 4
    - 4
    - 2
    - 4
    - 1
    - 2
    - 2
    - 3
    - 1
    - 4
    - 3
    - 4
    - 2
    - 3
    - 2
    - 4
    - 3
    - 4
    - 2
    - 4
    - 3
    - 2
    - 3
    - 4
    - 2
    - 4
    - 3
    - 4
    - 3
    - 3
    - 2
    - 3
    - 2
    - 3
    - 2
    - 3
    - 4
    - 1
    - 4
    - 4
    - 2
    - 4
    - 4
    - 1
    - 4
    - 4
    - 1
    - 2
    - 3
    - 4
    - 2
    - 2
    - 3
    - 3
    - 3
    - 4
    - 2
    - 4
    - 2
    - 2
    - 4
    - 3
    - 3
    - 2
    - 3
    - 2
    - 4
    - 3
    - 2
    - 4
    - 2
    - 4
    - 3
    - 2
    - 3
    G-Gens:
    - - 2
      - 3
      - 1
      - 4
    - - 2
      - 1
      - 4
      - 3
    G-Name: A4
    Polynomial:
    - 20
    - 1
    - 3
    - -1
    - 1
    QpRts:
    - - '7120954531'
    - - '6411000368'
    - - '-7135928910'
    - - '-6396025988'
    QpRts-minpoly:
    - -1
    - 1
    QpRts-p: 109
    QpRts-prec: 5
    Size: 12
    TransitiveDegree: 4
    id: 458871
label_cols:
- Baselabel
- Polynomial
labels:
- 3.29241.4t4.b
- - 20
  - 1
  - 3
  - -1
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-04-26T20:04:10.158733'