data:
- - class_group: []
    class_number: 1
    cm: false
    coeffs:
    - 2
    - -4
    - 0
    - 0
    - 1
    conductor: 0
    degree: 4
    dirichlet_group: []
    disc_abs: 4864
    disc_rad: 38
    disc_sign: -1
    frobs:
    - - 2
      - - 0
    - - 3
      - - - 4
          - 1
    - - 5
      - - - 3
          - 1
        - - 1
          - 1
    - - 7
      - - - 3
          - 1
        - - 1
          - 1
    - - 11
      - - - 3
          - 1
        - - 1
          - 1
    - - 13
      - - - 2
          - 1
        - - 1
          - 2
    - - 17
      - - - 3
          - 1
        - - 1
          - 1
    - - 19
      - - 0
    - - 23
      - - - 2
          - 2
    - - 29
      - - - 4
          - 1
    - - 31
      - - - 4
          - 1
    - - 37
      - - - 4
          - 1
    - - 41
      - - - 4
          - 1
    - - 43
      - - - 3
          - 1
        - - 1
          - 1
    - - 47
      - - - 3
          - 1
        - - 1
          - 1
    - - 53
      - - - 4
          - 1
    - - 59
      - - - 2
          - 1
        - - 1
          - 2
    gal_is_abelian: false
    gal_is_cyclic: false
    gal_is_solvable: true
    galois_disc_exponents:
    - 52
    - 12
    galois_label: 4T5
    galt: 5
    grd: 19.570794546160904
    id: 2227596
    index: 1
    inessentialp: []
    is_galois: false
    is_minimal_sibling: true
    iso_number: 1
    label: 4.2.4864.1
    local_algs:
    - 2.4.8.8
    - 19.1.0.1
    - 19.1.0.1
    - 19.2.1.2
    monogenic: 1
    num_ram: 2
    r2: 1
    ramps:
    - 2
    - 19
    rd: 8.35119051972
    regulator:
      __RealLiteral__: 0
      data: '3.76605312243'
      prec: 44
    res:
      gal:
      - 64,-384,1536,-3968,7456,-10112,11264,-9344,7648,-4768,1792,-672,648,-256,256,-544,664,-648,544,-360,194,-88,32,-8,1
      sib:
      - -1,0,3,0,-1,0,1
      - 1,0,3,0,4,0,3,0,4,0,3,0,1
      - 19,0,16,-16,4,-8,4,0,1
      - 19,0,25,0,9,0,1
      - 2,0,0,4,4,-4,-8,-4,-6,-12,4,0,1
    subfield_mults: []
    subfields: []
    torsion_gen: \( -1 \)
    torsion_order: 2
    units:
    - \( a^{3} + a^{2} + a - 3 \)
    - \( a^{3} + a^{2} + a - 1 \)
    used_grh: false
    zk:
    - '1'
    - a
    - a^2
    - a^3
label_cols:
- label
labels:
- 4.2.4864.1
tables:
- nf_fields
timestamp: '2024-05-22T13:39:46.708249'