data:
- - class_group:
    - 2
    class_number: 2
    cm: true
    coeffs:
    - 16
    - 0
    - 3
    - 0
    - 1
    conductor: 55
    degree: 4
    dirichlet_group:
    - 1
    - 34
    - 21
    - 54
    disc_abs: 3025
    disc_rad: 55
    disc_sign: 1
    frobs:
    - - 2
      - - - 2
          - 2
    - - 3
      - - - 2
          - 2
    - - 5
      - - 0
    - - 7
      - - - 2
          - 2
    - - 11
      - - 0
    - - 13
      - - - 2
          - 2
    - - 17
      - - - 2
          - 2
    - - 19
      - - - 2
          - 2
    - - 23
      - - - 2
          - 2
    - - 29
      - - - 2
          - 2
    - - 31
      - - - 1
          - 4
    - - 37
      - - - 2
          - 2
    - - 41
      - - - 2
          - 2
    - - 43
      - - - 2
          - 2
    - - 47
      - - - 2
          - 2
    - - 53
      - - - 2
          - 2
    - - 59
      - - - 1
          - 4
    gal_is_abelian: true
    gal_is_cyclic: false
    gal_is_solvable: true
    galois_disc_exponents:
    - 2
    - 2
    galois_label: 4T2
    galt: 2
    grd: 7.416198487095663
    id: 2227404
    index: 2
    inessentialp:
    - 2
    is_galois: true
    is_minimal_sibling: true
    iso_number: 1
    label: 4.0.3025.1
    local_algs:
    - 5.2.1.1
    - 5.2.1.1
    - 11.2.1.2
    - 11.2.1.2
    monogenic: -1
    num_ram: 2
    r2: 2
    ramps:
    - 5
    - 11
    rd: 7.4161984871
    regulator:
      __RealLiteral__: 0
      data: '0.962423650119'
      prec: 47
    res: {}
    subfield_mults:
    - 1
    - 1
    - 1
    subfields:
    - 14.-1.1
    - 3.-1.1
    - -1.-1.1
    torsion_gen: \( -1 \)
    torsion_order: 2
    units:
    - \( \frac{1}{8} a^{3} - \frac{1}{8} a - \frac{1}{2} \)
    used_grh: false
    zk:
    - '1'
    - a
    - 1/2*a^2 - 1/2*a
    - 1/8*a^3 - 1/8*a - 1/2
label_cols:
- label
labels:
- 4.0.3025.1
tables:
- nf_fields
timestamp: '2024-04-16T14:20:29.573452'