data:
- - BadPrimes:
    - 2
    - 3
    - 7
    Baselabel: 2.588.3t2.a
    CharacterField: 1
    Conductor: 588
    Container: 3t2
    Dets:
    - 1.3.2t1.a.a
    Dim: 2
    GalConjSigns:
    - 1
    Galn: 3
    GaloisConjugates:
    - Character:
      - - 2
      - - 0
      - - -1
      GalOrbIndex: 1
      HardFactors:
      - 4
      - 5
      - 4
      LocalFactors:
      - - - 1
        - - -2
        - - 1
      - - - 1
        - - 0
        - - -1
      - - - 1
        - - 1
        - - 1
      - - - 1
      - - - 1
        - - -1
      Sign: 1
    GaloisConjugatesSigns:
    - 1
    GaloisLabel: 3T2
    Galt: 2
    HardPrimes:
    - 2
    - 3
    - 7
    Hide: 0
    Indicator: 1
    Is_Even: false
    NFGal:
    - 1
    - 5
    - -1
    - 1
    NumBadPrimes: 3
    Proj_GAP:
    - 6
    - 1
    Proj_Polynomial:
    - 1
    - 5
    - -1
    - 1
    Proj_nTj:
    - 3
    - 2
    id: 192553
- - ArtinReps:
    - Baselabel: 1.1.1t1.a
      Character:
      - - 1
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.3.2t1.a
      Character:
      - - 1
      - - -1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 2.588.3t2.a
      Character:
      - - 2
      - - 0
      - - -1
      CharacterField: 1
      GalConj: 1
    ComplexConjugation: 2
    ConjClasses:
    - Order: 1
      Representative:
      - 1
      - 2
      - 3
      Size: '1'
    - Order: 2
      Representative:
      - 2
      - 1
      - 3
      Size: '3'
    - Order: 3
      Representative:
      - 2
      - 3
      - 1
      Size: '2'
    FrobResolvents:
    - Algorithm: CYC
      Classes: 1
      CycleType:
      - 1
      - 1
      - 1
      Data: 0
    - Algorithm: CYC
      Classes: 2
      CycleType:
      - 1
      - 2
      Data: 0
    - Algorithm: CYC
      Classes: 3
      CycleType:
      - 3
      Data: 0
    Frobs:
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    - 1
    - 2
    - 1
    - 2
    - 3
    - 2
    - 3
    - 2
    - 2
    - 3
    - 3
    - 2
    - 3
    - 2
    - 2
    - 2
    - 1
    - 3
    - 2
    - 3
    - 3
    - 2
    - 2
    - 1
    - 2
    - 3
    - 2
    - 3
    - 2
    - 3
    - 2
    - 2
    - 3
    - 2
    - 1
    - 1
    - 1
    - 2
    - 2
    - 2
    - 3
    - 2
    - 3
    - 2
    - 1
    - 1
    - 1
    - 2
    - 3
    - 2
    - 2
    - 1
    - 2
    - 2
    - 2
    - 2
    - 1
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    - 3
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    - 3
    - 2
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    - 1
    - 2
    - 2
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    - 3
    - 3
    - 2
    - 2
    - 3
    - 2
    - 3
    - 2
    - 3
    - 2
    - 3
    - 1
    - 2
    - 2
    - 3
    - 2
    - 3
    - 2
    - 2
    - 3
    - 2
    - 3
    - 2
    - 2
    - 2
    - 3
    - 3
    - 1
    - 2
    - 2
    - 2
    - 3
    - 3
    - 2
    - 2
    - 2
    - 3
    - 3
    - 1
    - 2
    - 3
    - 1
    - 2
    - 3
    - 2
    - 2
    - 2
    - 3
    - 3
    - 2
    - 2
    - 3
    - 2
    - 1
    - 2
    - 3
    - 3
    - 3
    - 2
    - 3
    - 1
    - 2
    - 3
    - 2
    - 1
    - 2
    - 2
    - 1
    - 2
    - 1
    - 2
    - 3
    - 2
    - 3
    - 2
    - 1
    - 2
    - 1
    - 2
    - 3
    - 2
    - 3
    - 2
    - 3
    - 2
    - 3
    - 2
    - 2
    - 2
    - 3
    - 2
    - 2
    - 2
    - 3
    - 3
    G-Gens:
    - - 2
      - 3
      - 1
    - - 2
      - 1
      - 3
    G-Name: S3
    Polynomial:
    - 1
    - 5
    - -1
    - 1
    QpRts:
    - - '43257817'
    - - '63107954'
    - - '-106365770'
    QpRts-minpoly:
    - -1
    - 1
    QpRts-p: 61
    QpRts-prec: 5
    Size: 6
    TransitiveDegree: 3
    id: 192778
label_cols:
- Baselabel
- Polynomial
labels:
- 2.588.3t2.a
- - 1
  - 5
  - -1
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-05-12T02:32:40.574527'