data:
- - class_group:
    - 11
    class_number: 11
    cm: true
    coeffs:
    - 158
    - -216
    - 246
    - -61
    - 33
    - -3
    - 1
    conductor: 0
    degree: 6
    dirichlet_group: []
    disc_abs: 2865961584
    disc_rad: 1626
    disc_sign: -1
    frobs:
    - - 2
      - - 0
    - - 3
      - - 0
    - - 5
      - - - 2
          - 2
        - - 1
          - 2
    - - 7
      - - - 3
          - 2
    - - 11
      - - - 2
          - 2
        - - 1
          - 2
    - - 13
      - - - 2
          - 3
    - - 17
      - - - 2
          - 2
        - - 1
          - 2
    - - 19
      - - - 2
          - 3
    - - 23
      - - - 6
          - 1
    - - 29
      - - - 2
          - 3
    - - 31
      - - - 3
          - 2
    - - 37
      - - - 3
          - 2
    - - 41
      - - - 2
          - 2
        - - 1
          - 2
    - - 43
      - - - 2
          - 3
    - - 47
      - - - 6
          - 1
    - - 53
      - - - 2
          - 2
        - - 1
          - 2
    - - 59
      - - - 6
          - 1
    gal_is_abelian: false
    gal_is_cyclic: false
    gal_is_solvable: true
    galois_disc_exponents:
    - 8
    - 6
    - 6
    galois_label: 6T3
    galt: 3
    grd: 45.26181201773813
    id: 8663961
    index: 1
    inessentialp: []
    is_galois: false
    is_minimal_sibling: false
    iso_number: 1
    label: 6.0.2865961584.1
    local_algs:
    - 2.3.2.1
    - 2.3.2.1
    - 3.2.0.1
    - 3.4.2.1
    - m271.2.1.1
    - m271.2.1.1
    - m271.2.1.1
    minimal_sibling:
    - 9
    - -27
    - 84
    - 3
    - 10
    - -1
    - 1
    monogenic: 0
    num_ram: 3
    r2: 3
    ramps:
    - 2
    - 3
    - 271
    rd: 37.6887494574
    regulator:
      __RealLiteral__: 0
      data: '69.0480087831'
      prec: 44
    res:
      gal:
      - 660969,0,813,0,-4064,4872,-1609,-30,36,-30,17,-6,1
      sex:
      - 3,-9,-1,1
      - 1,-1,1
      - 0,1
      sib:
      - 9,-27,84,3,10,-1,1
    subfield_mults:
    - 1
    - 1
    subfields:
    - 68.-1.1
    - 3.-9.-1.1
    torsion_gen: \( -1 \)
    torsion_order: 2
    units:
    - \( \frac{1}{9} a^{4} - \frac{2}{9} a^{3} + \frac{29}{9} a^{2} - \frac{28}{9}
      a + \frac{169}{9} \)
    - \( \frac{4}{9} a^{4} - \frac{8}{9} a^{3} + \frac{125}{9} a^{2} - \frac{121}{9}
      a + \frac{811}{9} \)
    used_grh: false
    zk:
    - '1'
    - a
    - 1/3*a^2 - 1/3*a - 1/3
    - 1/3*a^3 + 1/3*a - 1/3
    - 1/9*a^4 + 1/9*a^3 - 1/9*a^2 - 4/9*a - 2/9
    - 1/45*a^5 - 2/45*a^3 + 1/15*a^2 + 1/9*a + 14/45
label_cols:
- label
labels:
- 6.0.2865961584.1
tables:
- nf_fields
timestamp: '2024-05-23T18:36:33.192411'