data:
- - class_group: []
    class_number: 1
    cm: false
    coeffs:
    - 2
    - 3
    - -2
    - -2
    - 0
    - 1
    conductor: 0
    degree: 5
    dirichlet_group: []
    disc_abs: 53824
    disc_rad: 58
    disc_sign: 1
    frobs:
    - - 2
      - - 0
    - - 3
      - - - 5
          - 1
    - - 5
      - - - 5
          - 1
    - - 7
      - - - 3
          - 1
        - - 1
          - 2
    - - 11
      - - - 5
          - 1
    - - 13
      - - - 3
          - 1
        - - 1
          - 2
    - - 17
      - - - 5
          - 1
    - - 19
      - - - 5
          - 1
    - - 23
      - - - 2
          - 2
        - - 1
          - 1
    - - 29
      - - 0
    - - 31
      - - - 5
          - 1
    - - 37
      - - - 3
          - 1
        - - 1
          - 2
    - - 41
      - - - 5
          - 1
    - - 43
      - - - 2
          - 2
        - - 1
          - 1
    - - 47
      - - - 3
          - 1
        - - 1
          - 2
    - - 53
      - - - 2
          - 2
        - - 1
          - 1
    - - 59
      - - - 5
          - 1
    gal_is_abelian: false
    gal_is_cyclic: false
    gal_is_solvable: false
    galois_disc_exponents:
    - 90
    - 40
    galois_label: 5T4
    galt: 4
    grd: 26.697893241960433
    id: 4566317
    index: 1
    inessentialp: []
    is_galois: false
    is_minimal_sibling: true
    iso_number: 1
    label: 5.1.53824.1
    local_algs:
    - 2.1.0.1
    - 2.4.6.7
    - 29.2.0.1
    - 29.3.2.1
    monogenic: 1
    num_ram: 2
    r2: 2
    ramps:
    - 2
    - 29
    rd: 8.834768905
    regulator:
      __RealLiteral__: 0
      data: '6.23781662192'
      prec: 44
    res:
      sib:
      - -1,4,-2,-14,10,8,-11,4,5,-2,1
      - 2,-4,6,-50,225,-550,1078,-1830,2856,-4092,5242,-5814,5465,-4298,2800,-1494,643,-218,56,-10,1
      - 23,-42,29,5,15,-100,109,47,-90,18,30,-6,-11,2,-1,1
      - 25,0,174,0,301,0,58,0,2,0,0,0,1
      - 3,-10,10,-10,7,-2,1
      - 409,-1840,4787,-6868,3116,9976,-27361,35848,-26830,6604,9274,-13250,13200,-19344,31722,-41330,42305,-36490,28439,-21174,15528,-11128,7575,-4752,2675,-1314,549,-190,52,-10,1
    subfield_mults: []
    subfields: []
    torsion_gen: \( -1 \)
    torsion_order: 2
    units:
    - \( a^{4} - a^{3} - a^{2} - a + 3 \)
    - \( a^{2} - a - 1 \)
    used_grh: false
    zk:
    - '1'
    - a
    - a^2
    - a^3
    - a^4
label_cols:
- label
labels:
- 5.1.53824.1
tables:
- nf_fields
timestamp: '2024-05-19T01:43:20.783040'