data:
- - cm: false
    coeffs:
    - 823540
    - -48
    - -140
    - -224
    - -210
    - -112
    - -28
    - 0
    - 1
    conductor: 0
    degree: 8
    dirichlet_group: []
    disc_abs: 81784359890073480322911752930604437733376
    disc_rad: 1647094
    disc_sign: 1
    frobs:
    - - 2
      - - 0
    - - 3
      - - - 5
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        - - 3
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    - - 5
      - - - 7
          - 1
        - - 1
          - 1
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      - - - 4
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    - - 11
      - - - 4
          - 2
    - - 13
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        - - 3
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    - - 17
      - - - 4
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    - - 19
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        - - 2
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    - - 23
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    - - 29
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        - - 1
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    - - 31
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        - - 1
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    - - 37
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        - - 1
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    - - 41
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        - - 3
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    - - 43
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        - - 2
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    - - 47
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        - - 3
          - 1
    - - 53
      - - - 7
          - 1
        - - 1
          - 1
    - - 59
      - - - 6
          - 1
        - - 2
          - 1
    gal_is_abelian: false
    gal_is_cyclic: false
    gal_is_solvable: false
    galois_disc_exponents:
    - 64260
    - 17280
    galois_label: 8T49
    galt: 49
    grd: 1071823.2149145736
    id: 15391343
    index: 1
    inessentialp: []
    is_galois: false
    is_minimal_sibling: true
    iso_number: 1
    label: 8.0.81784359890073480322911752930604437733376.1
    local_algs:
    - 2.8.18.16
    - m823547.1.1.0
    - m823547.7.1.6
    monogenic: 0
    num_ram: 2
    r2: 4
    ramps:
    - 2
    - 823547
    rd: 130042.042577
    res:
      sib:
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      - -257033796581,-44090388169,95657490603,29600350983,3741268247,1523633699,233500567,-78942557,-32926095,-3947835,-47103,23445,3101,161,-3,1
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      - 5148624275514589184,3553713115315044352,-22603345115618476032,1557672281914736640,36038973308316680192,-22762915846588203008,-13019783686663438336,14082444031183290368,2602421639731740672,-5174986597006835712,-70496334838235136,1215294294177349632,-70294266466795520,-199129245916594176,16388660626718720,23257687126966272,-1918373806047232,-1907987733594112,143852248489984,108498238042112,-7977729273856,-4389674194944,314591546368,128578905600,-7368024960,-2704748992,39413600,42751920,3630464,-637504,-135968,10416,2184,-140,-14,1
    subfield_mults: []
    subfields: []
    torsion_gen: \( -1 \)
    torsion_order: 2
    used_grh: false
    zk:
    - '1'
    - a
    - a^2
    - a^3
    - 1/2*a^4
    - 1/2*a^5
    - 1/2*a^6
    - 1/2*a^7
label_cols:
- label
labels:
- 8.0.81784359890073480322911752930604437733376.1
tables:
- nf_fields
timestamp: '2024-04-20T02:26:14.339252'