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        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
        - 1
        - 0
        - 0
        - 0
        - 0
        - 1
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
        - 0
        - 1
        - 0
        - 0
        - 1
        - 0
        - 0
        - 0
      - - -1
        - 0
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
      - - 0
        - 0
        - 0
        - 1
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 1
        - 0
      - - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 1
        - 1
        - 0
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 1
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 1
      CharacterField: 13
      GalConj: 3
    - Baselabel: 2.3455.13t2.a
      Character:
      - - 2
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 1
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 1
      - - 0
        - 0
        - 0
        - 0
        - 1
        - 0
        - 0
        - 0
        - 0
        - 1
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 1
        - 1
        - 0
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 0
        - 0
        - 1
        - 0
        - 0
        - 1
        - 0
        - 0
        - 0
      - - 0
        - 0
        - 0
        - 1
        - 0
        - 0
        - 0
        - 0
        - 0
        - 0
        - 1
        - 0
      - - -1
        - 0
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
        - -1
      CharacterField: 13
      GalConj: 5
    ComplexConjugation: 2
    ConjClasses:
    - Order: 1
      Representative:
      - 1
      - 2
      - 3
      - 4
      - 5
      - 6
      - 7
      - 8
      - 9
      - 10
      - 11
      - 12
      - 13
      Size: '1'
    - Order: 2
      Representative:
      - 12
      - 9
      - 3
      - 5
      - 4
      - 10
      - 13
      - 11
      - 2
      - 6
      - 8
      - 1
      - 7
      Size: '13'
    - Order: 13
      Representative:
      - 9
      - 12
      - 7
      - 8
      - 13
      - 1
      - 4
      - 6
      - 2
      - 11
      - 5
      - 10
      - 3
      Size: '2'
    - Order: 13
      Representative:
      - 2
      - 10
      - 4
      - 6
      - 3
      - 9
      - 8
      - 1
      - 12
      - 5
      - 13
      - 11
      - 7
      Size: '2'
    - Order: 13
      Representative:
      - 12
      - 11
      - 8
      - 1
      - 7
      - 2
      - 6
      - 9
      - 10
      - 13
      - 3
      - 5
      - 4
      Size: '2'
    - Order: 13
      Representative:
      - 10
      - 5
      - 6
      - 9
      - 4
      - 12
      - 1
      - 2
      - 11
      - 3
      - 7
      - 13
      - 8
      Size: '2'
    - Order: 13
      Representative:
      - 11
      - 13
      - 1
      - 2
      - 8
      - 10
      - 9
      - 12
      - 5
      - 7
      - 4
      - 3
      - 6
      Size: '2'
    - Order: 13
      Representative:
      - 5
      - 3
      - 9
      - 12
      - 6
      - 11
      - 2
      - 10
      - 13
      - 4
      - 8
      - 7
      - 1
      Size: '2'
    FrobResolvents:
    - Algorithm: CYC
      Classes: 1
      CycleType:
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      - 1
      Data: 0
    - Algorithm: CYC
      Classes: 2
      CycleType:
      - 1
      - 2
      - 2
      - 2
      - 2
      - 2
      - 2
      Data: 0
    - Algorithm: RES
      Classes:
      - ConjugacyClass: 3
        RootOf:
        - '-49'
        - '1'
      - ConjugacyClass: 4
        RootOf:
        - '22'
        - '1'
      - ConjugacyClass: 5
        RootOf:
        - '106'
        - '1'
      - ConjugacyClass: 6
        RootOf:
        - '-2'
        - '1'
      - ConjugacyClass: 7
        RootOf:
        - '-84'
        - '1'
      - ConjugacyClass: 8
        RootOf:
        - '-34'
        - '1'
      CycleType:
      - 13
      Data:
        Powers:
        - 1
        - 12
        Resolvent:
        - 0
        - 0
        - 1
    Frobs:
    - 3
    - 8
    - 1
    - 2
    - 2
    - 4
    - 6
    - 2
    - 5
    - 8
    - 2
    - 2
    - 2
    - 2
    - 2
    - 1
    - 5
    - 5
    - 4
    - 6
    - 7
    - 3
    - 6
    - 7
    - 2
    - 6
    - 2
    - 7
    - 2
    - 2
    - 2
    - 2
    - 3
    - 8
    - 7
    - 7
    - 7
    - 1
    - 2
    - 2
    - 8
    - 4
    - 2
    - 2
    - 2
    - 2
    - 2
    - 2
    - 3
    - 7
    - 2
    - 2
    - 5
    - 2
    - 8
    - 2
    - 2
    - 4
    - 5
    - 2
    - 2
    - 7
    - 6
    - 4
    - 5
    - 2
    - 8
    - 8
    - 2
    - 2
    - 2
    - 5
    - 6
    - 2
    - 7
    - 2
    - 4
    - 8
    - 3
    - 2
    - 4
    - 2
    - 7
    - 3
    - 2
    - 4
    - 6
    - 5
    - 2
    - 7
    - 2
    - 4
    - 3
    - 6
    - 6
    - 4
    - 2
    - 2
    - 3
    - 2
    - 7
    - 8
    - 2
    - 8
    - 2
    - 2
    - 1
    - 2
    - 3
    - 3
    - 2
    - 2
    - 2
    - 3
    - 5
    - 5
    - 2
    - 2
    - 6
    - 7
    - 2
    - 2
    - 2
    - 2
    - 1
    - 2
    - 2
    - 3
    - 2
    - 2
    - 2
    - 7
    - 2
    - 3
    - 2
    - 2
    - 2
    - 2
    - 2
    - 2
    - 3
    - 5
    - 2
    - 2
    - 2
    - 3
    - 3
    - 2
    - 7
    - 2
    - 6
    - 7
    - 3
    - 2
    - 2
    - 2
    - 5
    - 5
    - 4
    - 2
    - 2
    - 2
    - 2
    - 2
    - 5
    - 5
    - 2
    - 2
    G-Gens:
    - - 10
      - 2
      - 7
      - 13
      - 8
      - 11
      - 3
      - 5
      - 12
      - 1
      - 6
      - 9
      - 4
    - - 12
      - 9
      - 3
      - 5
      - 4
      - 10
      - 13
      - 11
      - 2
      - 6
      - 8
      - 1
      - 7
    G-Name: D26
    Polynomial:
    - 25
    - -80
    - 275
    - 1271
    - 1948
    - 1595
    - 532
    - -110
    - -157
    - -70
    - 7
    - 10
    - -2
    - 1
    QpRts:
    - - '-128336'
      - '-530085'
      - '583561'
      - '211165'
      - '-559173'
      - '677766'
      - '-558588'
      - '176711'
      - '427242'
      - '-78242'
      - '93919'
      - '32187'
      - '385136'
    - - '-559575'
      - '-596884'
      - '-672015'
      - '189700'
      - '-437091'
      - '630060'
      - '634127'
      - '-566777'
      - '-528613'
      - '129674'
      - '-465566'
      - '-239181'
      - '440760'
    - - '-462561'
      - '363640'
      - '347104'
      - '455048'
      - '-36364'
      - '155459'
      - '-164275'
      - '-325972'
      - '596983'
      - '597479'
      - '152602'
      - '216631'
      - '400438'
    - - '339777'
      - '636819'
      - '623813'
      - '-85062'
      - '-119161'
      - '-439305'
      - '-77588'
      - '-538404'
      - '266169'
      - '511531'
      - '-422954'
      - '134710'
      - '-346201'
    - - '542542'
      - '638257'
      - '267438'
      - '123877'
      - '-7517'
      - '-656293'
      - '-45700'
      - '95897'
      - '-688236'
      - '-263709'
      - '-301844'
      - '508103'
      - '575574'
    - - '-695279'
      - '584520'
      - '-509541'
      - '-150621'
      - '-292936'
      - '218092'
      - '-478692'
      - '-602868'
      - '388109'
      - '-466839'
      - '591934'
      - '-279500'
      - '83883'
    - - '-486331'
      - '161260'
      - '-612176'
      - '-563231'
      - '-707343'
      - '20236'
      - '-150390'
      - '344146'
      - '-557147'
      - '169574'
      - '-386766'
      - '159685'
      - '-626731'
    - - '-491861'
      - '-111702'
      - '347635'
      - '140569'
      - '319427'
      - '-446163'
      - '655004'
      - '666766'
      - '522073'
      - '442756'
      - '94627'
      - '-420902'
      - '240560'
    - - '-404277'
      - '635676'
      - '-385219'
      - '108380'
      - '284501'
      - '-502983'
      - '136455'
      - '80803'
      - '518603'
      - '433963'
      - '657233'
      - '-561007'
      - '120676'
    - - '-576379'
      - '701636'
      - '260431'
      - '61082'
      - '130114'
      - '-287467'
      - '-624945'
      - '632786'
      - '505238'
      - '81723'
      - '-487520'
      - '618651'
      - '407994'
    - - '-116585'
      - '175382'
      - '-162783'
      - '190992'
      - '502452'
      - '-252696'
      - '-166686'
      - '394590'
      - '90445'
      - '-481291'
      - '91361'
      - '380707'
      - '78349'
    - - '400193'
      - '289142'
      - '576795'
      - '447244'
      - '-52750'
      - '-550214'
      - '164727'
      - '561869'
      - '210799'
      - '-1372'
      - '222245'
      - '194445'
      - '-373390'
    - - '-201040'
      - '-107947'
      - '-665043'
      - '290714'
      - '-444016'
      - '13651'
      - '676551'
      - '500310'
      - '-331808'
      - '344610'
      - '160729'
      - '675328'
      - '32809'
    QpRts-minpoly:
    - 14
    - 15
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 1
    QpRts-p: 17
    QpRts-prec: 5
    Size: 26
    TransitiveDegree: 13
    id: 515066
label_cols:
- Baselabel
- Polynomial
labels:
- 2.3455.13t2.a
- - 25
  - -80
  - 275
  - 1271
  - 1948
  - 1595
  - 532
  - -110
  - -157
  - -70
  - 7
  - 10
  - -2
  - 1
tables:
- artin_reps
- artin_field_data
timestamp: '2024-05-17T17:02:30.541858'