data: - - class_group: - 2 class_number: 2 cm: true coeffs: - 13 - -1 - 1 conductor: 51 degree: 2 dirichlet_group: - 1 - 50 disc_abs: 51 disc_rad: 51 disc_sign: -1 frobs: - - 2 - - - 2 - 1 - - 3 - - 0 - - 5 - - - 1 - 2 - - 7 - - - 2 - 1 - - 11 - - - 1 - 2 - - 13 - - - 1 - 2 - - 17 - - 0 - - 19 - - - 1 - 2 - - 23 - - - 1 - 2 - - 29 - - - 1 - 2 - - 31 - - - 2 - 1 - - 37 - - - 2 - 1 - - 41 - - - 1 - 2 - - 43 - - - 1 - 2 - - 47 - - - 2 - 1 - - 53 - - - 2 - 1 - - 59 - - - 2 - 1 gal_is_abelian: true gal_is_cyclic: true gal_is_solvable: true galois_disc_exponents: - 1 - 1 galois_label: 2T1 galt: 1 grd: 7.14142842854285 id: 31 index: 1 inessentialp: [] is_galois: true is_minimal_sibling: true iso_number: 1 label: 2.0.51.1 local_algs: - 3.2.1.1 - 17.2.1.2 monogenic: 1 num_ram: 2 r2: 1 ramps: - 3 - 17 rd: 7.14142842854 regulator: 1 res: {} subfield_mults: [] subfields: [] torsion_gen: \( -1 \) torsion_order: 2 units: [] used_grh: false zk: - '1' - a label_cols: - label labels: - 2.0.51.1 tables: - nf_fields timestamp: '2024-03-28T20:16:34.934862'