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        - '108'
        - '0'
        - '1'
      - ConjugacyClass: 18
        RootOf:
        - '1728'
        - '432'
        - '0'
        - '1'
      CycleType:
      - 6
      - 6
      Data:
        Powers:
        - 1
        Resolvent:
        - 2
        - 5
        - -2
        - -7
        - 1
    Frobs:
    - 14
    - 4
    - 15
    - 18
    - 16
    - 17
    - 12
    - 7
    - 13
    - 16
    - 8
    - 4
    - 15
    - 18
    - 11
    - 12
    - 15
    - 9
    - 17
    - 3
    - 4
    - 9
    - 14
    - 3
    - 18
    - 16
    - 17
    - 2
    - 7
    - 10
    - 4
    - 15
    - 14
    - 6
    - 15
    - 5
    - 17
    - 4
    - 13
    - 14
    - 3
    - 7
    - 16
    - 17
    - 12
    - 1
    - 8
    - 18
    - 14
    - 8
    - 2
    - 15
    - 9
    - 3
    - 13
    - 11
    - 3
    - 7
    - 18
    - 16
    - 17
    - 13
    - 4
    - 15
    - 18
    - 14
    - 5
    - 17
    - 10
    - 9
    - 11
    - 3
    - 18
    - 17
    - 7
    - 13
    - 16
    - 4
    - 15
    - 8
    - 15
    - 9
    - 3
    - 4
    - 9
    - 14
    - 3
    - 18
    - 16
    - 17
    - 12
    - 16
    - 4
    - 15
    - 8
    - 12
    - 15
    - 3
    - 4
    - 1
    - 18
    - 2
    - 10
    - 16
    - 8
    - 4
    - 14
    - 12
    - 15
    - 9
    - 17
    - 4
    - 13
    - 5
    - 7
    - 16
    - 17
    - 12
    - 13
    - 16
    - 6
    - 18
    - 11
    - 12
    - 9
    - 3
    - 5
    - 3
    - 18
    - 17
    - 7
    - 10
    - 8
    - 4
    - 15
    - 8
    - 12
    - 17
    - 13
    - 3
    - 1
    - 16
    - 17
    - 12
    - 1
    - 16
    - 18
    - 14
    - 8
    - 12
    - 17
    - 3
    - 4
    - 13
    - 18
    - 16
    - 1
    - 16
    - 4
    - 15
    - 14
    - 2
    - 17
    - 3
    - 10
    - 14
    - 7
    - 18
    G-Gens:
    - - 6
      - 1
      - 12
      - 7
      - 2
      - 9
      - 8
      - 3
      - 10
      - 5
      - 4
      - 11
    - - 9
      - 10
      - 7
      - 8
      - 1
      - 2
      - 11
      - 12
      - 5
      - 6
      - 3
      - 4
    - - 1
      - 6
      - 11
      - 4
      - 5
      - 10
      - 3
      - 8
      - 9
      - 2
      - 7
      - 12
    - - 8
      - 7
      - 6
      - 5
      - 4
      - 3
      - 2
      - 1
      - 12
      - 11
      - 10
      - 9
    G-Name: C6*S3
    Polynomial:
    - 1
    - 0
    - 0
    - 1
    - 0
    - 0
    - 2
    - 0
    - 0
    - -1
    - 0
    - 0
    - 1
    QpRts:
    - - '362816744'
      - '84331322'
      - '203591624'
      - '-14669268'
      - '-351142913'
      - '17034937'
    - - '-1894845'
      - '-305573344'
      - '-380597829'
      - '-10005205'
      - '327290484'
      - '129036446'
    - - '283017799'
      - '124577803'
      - '241313106'
      - '-180903136'
      - '-68332899'
      - '184215426'
    - - '-213576354'
      - '-346891481'
      - '353653054'
      - '171957389'
      - '-79804505'
      - '-142239380'
    - - '-314396057'
      - '17415311'
      - '-30804612'
      - '-131518292'
      - '-125997533'
      - '-380863843'
    - - '323779886'
      - '-136302420'
      - '229725025'
      - '-148917879'
      - '-7105082'
      - '-233721782'
    - - '360654577'
      - '-392659426'
      - '135406750'
      - '-83332984'
      - '34207231'
      - '-209533712'
    - - '-282836306'
      - '-266110913'
      - '-376451605'
      - '190682211'
      - '-86586958'
      - '-154582588'
    - - '-48420687'
      - '-101746633'
      - '-172787012'
      - '146187560'
      - '-338590275'
      - '363828906'
    - - '-321885041'
      - '-373854957'
      - '150872804'
      - '158923084'
      - '-320185402'
      - '104685336'
    - - '172058345'
      - '268081623'
      - '-376719856'
      - '264236120'
      - '34125668'
      - '25318286'
    - - '-319318061'
      - '-202728327'
      - '22798551'
      - '-362639600'
      - '166391463'
      - '296821968'
    QpRts-minpoly:
    - 2
    - 11
    - 11
    - 10
    - 0
    - 0
    - 1
    QpRts-p: 13
    QpRts-prec: 8
    Size: 36
    TransitiveDegree: 12
    id: 537444
label_cols:
- Baselabel
- Polynomial
labels:
- 2.405.12t18.a
- - 1
  - 0
  - 0
  - 1
  - 0
  - 0
  - 2
  - 0
  - 0
  - -1
  - 0
  - 0
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-04-25T04:01:29.232741'