data:
- - class_group: []
    class_number: 1
    cm: false
    coeffs:
    - -14
    - -1
    - 1
    conductor: 57
    degree: 2
    dirichlet_group:
    - 1
    - 56
    disc_abs: 57
    disc_rad: 57
    disc_sign: 1
    frobs:
    - - 2
      - - - 1
          - 2
    - - 3
      - - 0
    - - 5
      - - - 2
          - 1
    - - 7
      - - - 1
          - 2
    - - 11
      - - - 2
          - 1
    - - 13
      - - - 2
          - 1
    - - 17
      - - - 2
          - 1
    - - 19
      - - 0
    - - 23
      - - - 2
          - 1
    - - 29
      - - - 1
          - 2
    - - 31
      - - - 2
          - 1
    - - 37
      - - - 2
          - 1
    - - 41
      - - - 1
          - 2
    - - 43
      - - - 1
          - 2
    - - 47
      - - - 2
          - 1
    - - 53
      - - - 1
          - 2
    - - 59
      - - - 1
          - 2
    gal_is_abelian: true
    gal_is_cyclic: true
    gal_is_solvable: true
    galois_disc_exponents:
    - 1
    - 1
    galois_label: 2T1
    galt: 1
    grd: 7.54983443527075
    id: 37
    index: 1
    inessentialp: []
    is_galois: true
    is_minimal_sibling: true
    iso_number: 1
    label: 2.2.57.1
    local_algs:
    - 3.2.1.1
    - 19.2.1.2
    monogenic: 1
    num_ram: 2
    r2: 0
    ramps:
    - 3
    - 19
    rd: 7.54983443527
    regulator:
      __RealLiteral__: 0
      data: '5.71041605276'
      prec: 44
    res: {}
    subfield_mults: []
    subfields: []
    torsion_gen: \( -1 \)
    torsion_order: 2
    units:
    - \( 40 a + 131 \)
    used_grh: false
    zk:
    - '1'
    - a
label_cols:
- label
labels:
- 2.2.57.1
tables:
- nf_fields
timestamp: '2024-04-23T06:47:06.056992'