data:
- - BadPrimes:
    - 2
    - 3
    - 7
    Baselabel: 2.1764.4t3.a
    CharacterField: 1
    Conductor: 1764
    Container: 4t3
    Dets:
    - 1.4.2t1.a.a
    Dim: 2
    GalConjSigns:
    - 1
    Galn: 4
    GaloisConjugates:
    - Character:
      - - 2
      - - -2
      - - 0
      - - 0
      - - 0
      GalOrbIndex: 1
      HardFactors:
      - 6
      - 7
      - 7
      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
    - 3
    - 7
    Hide: 0
    Indicator: 1
    Is_Even: false
    NFGal:
    - 16
    - 10
    - -4
    - -1
    - 1
    NumBadPrimes: 3
    Proj_GAP:
    - 4
    - 2
    Proj_Polynomial:
    - 4
    - 0
    - -3
    - 0
    - 1
    Proj_nTj:
    - 4
    - 2
    id: 418209
- - ArtinReps:
    - Baselabel: 1.1.1t1.a
      Character:
      - - 1
      - - 1
      - - 1
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.7.2t1.a
      Character:
      - - 1
      - - 1
      - - -1
      - - 1
      - - -1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.28.2t1.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: 2.1764.4t3.a
      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:
        - '-4'
        - '1'
      - ConjugacyClass: 3
        RootOf:
        - '58'
        - '-22'
        - '1'
      CycleType:
      - 2
      - 2
      Data:
        Powers:
        - 1
        Resolvent:
        - 0
        - 0
        - 1
    - Algorithm: CYC
      Classes: 5
      CycleType:
      - 4
      Data: 0
    Frobs:
    - 1
    - 3
    - 5
    - 4
    - 4
    - 5
    - 5
    - 3
    - 4
    - 1
    - 3
    - 2
    - 5
    - 4
    - 3
    - 2
    - 3
    - 5
    - 4
    - 4
    - 5
    - 4
    - 3
    - 5
    - 5
    - 5
    - 3
    - 4
    - 2
    - 2
    - 4
    - 3
    - 1
    - 3
    - 2
    - 4
    - 5
    - 4
    - 3
    - 5
    - 4
    - 5
    - 4
    - 1
    - 2
    - 3
    - 4
    - 3
    - 3
    - 5
    - 1
    - 4
    - 5
    - 3
    - 5
    - 4
    - 5
    - 3
    - 1
    - 1
    - 3
    - 5
    - 3
    - 3
    - 5
    - 2
    - 4
    - 2
    - 4
    - 5
    - 5
    - 4
    - 3
    - 1
    - 4
    - 3
    - 1
    - 5
    - 1
    - 5
    - 3
    - 1
    - 4
    - 5
    - 3
    - 4
    - 2
    - 1
    - 5
    - 4
    - 3
    - 3
    - 4
    - 4
    - 4
    - 3
    - 5
    - 5
    - 3
    - 1
    - 4
    - 2
    - 3
    - 1
    - 4
    - 5
    - 3
    - 5
    - 4
    - 5
    - 3
    - 2
    - 1
    - 3
    - 4
    - 1
    - 3
    - 3
    - 1
    - 4
    - 5
    - 2
    - 5
    - 4
    - 3
    - 1
    - 2
    - 3
    - 3
    - 5
    - 4
    - 4
    - 4
    - 2
    - 5
    - 5
    - 5
    - 3
    - 5
    - 2
    - 3
    - 2
    - 4
    - 4
    - 5
    - 3
    - 5
    - 5
    - 3
    - 4
    - 2
    - 5
    - 4
    - 3
    - 4
    - 4
    - 4
    - 5
    - 5
    - 5
    - 4
    - 2
    - 4
    - 3
    - 1
    - 3
    - 4
    - 5
    G-Gens:
    - - 2
      - 1
      - 3
      - 4
    - - 3
      - 4
      - 1
      - 2
    G-Name: D8
    Polynomial:
    - 16
    - 10
    - -4
    - -1
    - 1
    QpRts:
    - - '1051439'
    - - '2827145'
    - - '-6535183'
    - - '2656600'
    QpRts-minpoly:
    - -1
    - 1
    QpRts-p: 29
    QpRts-prec: 5
    Size: 8
    TransitiveDegree: 4
    id: 418434
label_cols:
- Baselabel
- Polynomial
labels:
- 2.1764.4t3.a
- - 16
  - 10
  - -4
  - -1
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-04-18T01:47:46.898001'