data:
- - BadPrimes:
    - 2
    - 3
    Baselabel: 5.241864704.6t15.b
    CharacterField: 1
    Conductor: 241864704
    Container: 6t15
    Dets:
    - 1.1.1t1.a.a
    Dim: 5
    GalConjSigns:
    - 1
    Galn: 6
    GaloisConjugates:
    - Character:
      - - 5
      - - 1
      - - 2
      - - -1
      - - -1
      - - 0
      - - 0
      GalOrbIndex: 1
      HardFactors:
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      - 8
      LocalFactors:
      - - - 1
        - - -5
        - - 10
        - - -10
        - - 5
        - - -1
      - - - 1
        - - -1
        - - -2
        - - 2
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        - - 0
        - - 0
        - - 0
        - - 0
        - - -1
      - - - 1
        - - -1
      Sign: 1
    GaloisConjugatesSigns:
    - 1
    GaloisLabel: 6T15
    Galt: 15
    HardPrimes:
    - 2
    - 3
    Hide: 0
    Indicator: 1
    Is_Even: true
    NFGal:
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    - 0
    - 9
    - -8
    - 0
    - 0
    - 1
    NumBadPrimes: 2
    Proj_GAP:
    - 360
    - 118
    Proj_Polynomial:
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    - 0
    - 9
    - -8
    - 0
    - 0
    - 1
    Proj_nTj:
    - 6
    - 15
    id: 727268
- - ArtinReps:
    - Baselabel: 1.1.1t1.a
      Character:
      - - 1
      - - 1
      - - 1
      - - 1
      - - 1
      - - 1
      - - 1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 5.241864704.6t15.b
      Character:
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      - - 1
      - - 2
      - - -1
      - - -1
      - - 0
      - - 0
      CharacterField: 1
      GalConj: 1
    - Baselabel: 5.26873856.6t15.b
      Character:
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      - - 1
      - - -1
      - - 2
      - - -1
      - - 0
      - - 0
      CharacterField: 1
      GalConj: 1
    - Baselabel: 8.1624959306694656.36t555.b
      Character:
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        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
      - - -1
        - 0
        - 0
        - 0
      - - -1
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
      - - 1
        - 0
        - 1
        - 1
      - - 0
        - 0
        - -1
        - -1
      CharacterField: 5
      GalConj: 1
    - Baselabel: 8.1624959306694656.36t555.b
      Character:
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        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
      - - -1
        - 0
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        - 0
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        - 0
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        - 0
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        - 0
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      - - 1
        - 0
        - 1
        - 1
      CharacterField: 5
      GalConj: 2
    - Baselabel: 9.1624959306694656.10t26.b
      Character:
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      - - 1
      - - 0
      - - 0
      - - 1
      - - -1
      - - -1
      CharacterField: 1
      GalConj: 1
    - Baselabel: 10.14975624970497949696.30t88.b
      Character:
      - - 10
      - - -2
      - - 1
      - - 1
      - - 0
      - - 0
      - - 0
      CharacterField: 1
      GalConj: 1
    ComplexConjugation: 2
    ConjClasses:
    - Order: 1
      Representative:
      - 1
      - 2
      - 3
      - 4
      - 5
      - 6
      Size: '1'
    - Order: 2
      Representative:
      - 2
      - 1
      - 4
      - 3
      - 5
      - 6
      Size: '45'
    - Order: 3
      Representative:
      - 2
      - 3
      - 1
      - 5
      - 6
      - 4
      Size: '40'
    - Order: 3
      Representative:
      - 2
      - 3
      - 1
      - 4
      - 5
      - 6
      Size: '40'
    - Order: 4
      Representative:
      - 2
      - 3
      - 4
      - 1
      - 6
      - 5
      Size: '90'
    - Order: 5
      Representative:
      - 2
      - 3
      - 4
      - 5
      - 1
      - 6
      Size: '72'
    - Order: 5
      Representative:
      - 3
      - 1
      - 4
      - 5
      - 2
      - 6
      Size: '72'
    FrobResolvents:
    - Algorithm: CYC
      Classes: 1
      CycleType:
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      Data: 0
    - Algorithm: CYC
      Classes: 4
      CycleType:
      - 1
      - 1
      - 1
      - 3
      Data: 0
    - Algorithm: CYC
      Classes: 2
      CycleType:
      - 1
      - 1
      - 2
      - 2
      Data: 0
    - Algorithm: ALT
      Classes:
      - ConjugacyClass: 7
        RootOf:
        - '-82944'
        - '1'
      - ConjugacyClass: 6
        RootOf:
        - '82944'
        - '1'
      CycleType:
      - 1
      - 5
      Data:
      - 1
      - 3
      - 4
      - 5
      - 6
      - 2
    - Algorithm: CYC
      Classes: 5
      CycleType:
      - 2
      - 4
      Data: 0
    - Algorithm: CYC
      Classes: 3
      CycleType:
      - 3
      - 3
      Data: 0
    Frobs:
    - 1
    - 1
    - 7
    - 7
    - 5
    - 5
    - 7
    - 5
    - 7
    - 7
    - 5
    - 6
    - 3
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    - 5
    - 6
    - 5
    - 6
    - 3
    - 3
    - 7
    - 4
    - 6
    - 5
    - 6
    - 7
    - 6
    - 6
    - 6
    - 2
    - 2
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    - 6
    - 5
    - 5
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    - 7
    - 2
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    - 2
    - 2
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    - 7
    - 6
    - 6
    - 4
    - 3
    - 6
    - 2
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    - 5
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    - 6
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    - 5
    - 4
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    - 5
    - 5
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    - 5
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    - 6
    - 7
    - 4
    - 5
    - 2
    - 4
    - 6
    - 3
    - 6
    - 4
    G-Gens:
    - - 2
      - 3
      - 1
      - 4
      - 5
      - 6
    - - 2
      - 1
      - 4
      - 5
      - 6
      - 3
    G-Name: A6
    Polynomial:
    - -6
    - 0
    - 9
    - -8
    - 0
    - 0
    - 1
    QpRts:
    - - '6322024172'
      - '-8072525081'
    - - '-2172052421'
      - '0'
    - - '-7448773332'
      - '8072525081'
    - - '-6046769763'
      - '-8251232870'
    - - '-7310699871'
      - '0'
    - - '-1768080578'
      - '8251232870'
    QpRts-minpoly:
    - 3
    - 101
    - 1
    QpRts-p: 113
    QpRts-prec: 5
    Size: 360
    TransitiveDegree: 6
    id: 599532
label_cols:
- Baselabel
- Polynomial
labels:
- 5.241864704.6t15.b
- - -6
  - 0
  - 9
  - -8
  - 0
  - 0
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-05-21T17:05:14.647025'