data:
- - BadPrimes:
    - 2
    - 7
    - 17
    Baselabel: 2.3332.6t3.b
    CharacterField: 1
    Conductor: 3332
    Container: 6t3
    Dets:
    - 1.68.2t1.a.a
    Dim: 2
    GalConjSigns:
    - 1
    Galn: 6
    GaloisConjugates:
    - Character:
      - - 2
      - - -2
      - - 0
      - - 0
      - - -1
      - - 1
      GalOrbIndex: 1
      HardFactors:
      - 7
      - 8
      - 9
      - 3
      LocalFactors:
      - - - 1
        - - -2
        - - 1
      - - - 1
        - - 2
        - - 1
      - - - 1
        - - 0
        - - -1
      - - - 1
        - - 0
        - - -1
      - - - 1
        - - 1
        - - 1
      - - - 1
        - - -1
        - - 1
      - - - 1
        - - -1
      - - - 1
      - - - 1
        - - 1
      Sign: 1
    GaloisConjugatesSigns:
    - 1
    GaloisLabel: 6T3
    Galt: 3
    HardPrimes:
    - 2
    - 7
    - 17
    - 29
    Hide: 0
    Indicator: 1
    Is_Even: false
    NFGal:
    - 92
    - 2
    - -10
    - 15
    - -5
    - -3
    - 1
    NumBadPrimes: 3
    Proj_GAP:
    - 6
    - 1
    Proj_Polynomial:
    - -20
    - 12
    - -1
    - 1
    Proj_nTj:
    - 3
    - 2
    id: 461497
- - ArtinReps:
    - Baselabel: 1.1.1t1.a
      Character:
      - - 1
      - - 1
      - - 1
      - - 1
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.68.2t1.a
      Character:
      - - 1
      - - 1
      - - -1
      - - -1
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.476.2t1.a
      Character:
      - - 1
      - - -1
      - - -1
      - - 1
      - - 1
      - - -1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 1.7.2t1.a
      Character:
      - - 1
      - - -1
      - - 1
      - - -1
      - - 1
      - - -1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 2.3332.3t2.a
      Character:
      - - 2
      - - 2
      - - 0
      - - 0
      - - -1
      - - -1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 2.3332.6t3.b
      Character:
      - - 2
      - - -2
      - - 0
      - - 0
      - - -1
      - - 1
      CharacterField: 1
      GalConj: 1
    ComplexConjugation: 4
    ConjClasses:
    - Order: 1
      Representative:
      - 1
      - 2
      - 3
      - 4
      - 5
      - 6
      Size: '1'
    - Order: 2
      Representative:
      - 5
      - 4
      - 6
      - 2
      - 1
      - 3
      Size: '1'
    - Order: 2
      Representative:
      - 1
      - 6
      - 4
      - 3
      - 5
      - 2
      Size: '3'
    - Order: 2
      Representative:
      - 2
      - 1
      - 6
      - 5
      - 4
      - 3
      Size: '3'
    - Order: 3
      Representative:
      - 3
      - 5
      - 4
      - 1
      - 6
      - 2
      Size: '2'
    - Order: 6
      Representative:
      - 2
      - 3
      - 5
      - 6
      - 4
      - 1
      Size: '2'
    FrobResolvents:
    - Algorithm: CYC
      Classes: 1
      CycleType:
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      Data: 0
    - Algorithm: CYC
      Classes: 3
      CycleType:
      - 1
      - 1
      - 2
      - 2
      Data: 0
    - Algorithm: RES
      Classes:
      - ConjugacyClass: 2
        RootOf:
        - '8'
        - '1'
      - ConjugacyClass: 4
        RootOf:
        - '-12032'
        - '80'
        - '-32'
        - '1'
      CycleType:
      - 2
      - 2
      - 2
      Data:
        Powers:
        - 1
        Resolvent:
        - 0
        - 0
        - 1
    - Algorithm: CYC
      Classes: 5
      CycleType:
      - 3
      - 3
      Data: 0
    - Algorithm: CYC
      Classes: 6
      CycleType:
      - 6
      Data: 0
    Frobs:
    - 1
    - 6
    - 4
    - 1
    - 5
    - 6
    - 4
    - 4
    - 1
    - 3
    - 2
    - 3
    - 4
    - 3
    - 4
    - 5
    - 4
    - 4
    - 3
    - 5
    - 4
    - 5
    - 4
    - 6
    - 4
    - 2
    - 4
    - 5
    - 3
    - 3
    - 3
    - 2
    - 5
    - 6
    - 5
    - 3
    - 6
    - 1
    - 6
    - 4
    - 3
    - 4
    - 3
    - 3
    - 3
    - 6
    - 1
    - 4
    - 6
    - 2
    - 3
    - 3
    - 4
    - 4
    - 6
    - 3
    - 4
    - 4
    - 3
    - 5
    - 6
    - 6
    - 4
    - 6
    - 4
    - 3
    - 3
    - 3
    - 1
    - 2
    - 6
    - 3
    - 6
    - 5
    - 5
    - 4
    - 5
    - 4
    - 3
    - 6
    - 6
    - 1
    - 5
    - 2
    - 6
    - 3
    - 3
    - 1
    - 6
    - 3
    - 4
    - 2
    - 5
    - 3
    - 5
    - 6
    - 2
    - 4
    - 4
    - 3
    - 5
    - 5
    - 4
    - 5
    - 1
    - 6
    - 4
    - 6
    - 3
    - 4
    - 6
    - 5
    - 3
    - 6
    - 3
    - 3
    - 6
    - 4
    - 3
    - 3
    - 2
    - 3
    - 4
    - 5
    - 2
    - 5
    - 3
    - 6
    - 4
    - 6
    - 3
    - 5
    - 5
    - 5
    - 6
    - 6
    - 6
    - 2
    - 6
    - 3
    - 6
    - 3
    - 5
    - 5
    - 6
    - 2
    - 4
    - 4
    - 4
    - 3
    - 3
    - 4
    - 3
    - 6
    - 1
    - 1
    - 3
    - 4
    - 2
    - 4
    - 5
    - 5
    - 3
    - 4
    - 1
    - 6
    - 5
    - 4
    G-Gens:
    - - 1
      - 6
      - 4
      - 3
      - 5
      - 2
    - - 2
      - 3
      - 5
      - 6
      - 4
      - 1
    G-Name: D12
    Polynomial:
    - 92
    - 2
    - -10
    - 15
    - -5
    - -3
    - 1
    QpRts:
    - - '-30766319'
      - '0'
    - - '-1182462516'
      - '1261069977'
    - - '-819577195'
      - '1261069977'
    - - '1182462517'
      - '-1261069977'
    - - '30766320'
      - '0'
    - - '819577196'
      - '-1261069977'
    QpRts-minpoly:
    - 2
    - 33
    - 1
    QpRts-p: 37
    QpRts-prec: 6
    Size: 12
    TransitiveDegree: 6
    id: 461730
label_cols:
- Baselabel
- Polynomial
labels:
- 2.3332.6t3.b
- - 92
  - 2
  - -10
  - 15
  - -5
  - -3
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-04-20T02:54:11.607825'