-
nf_fields • Show schema
{'cm': False, 'coeffs': [6066476888883200, 13476478435983360, 9381033208184832, -3861559365624000, -7902598720389120, -2532714300702720, 1878904774656000, 1167100609904640, -199955270615040, -231976756423680, 7709768294400, 28698328270080, 545341833216, -2497379088960, -91269365760, 159244507440, 5311365120, -7264733184, -147947520, 223891200, 1935360, -4446720, -9216, 54000, 0, -360, 0, 1], 'conductor': 0, 'degree': 27, 'dirichlet_group': [], 'disc_abs': 177801404718372423264819198352687104000000000000000000000000000000000000000000000000, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[9, 3]]], [11, [[10, 1], [5, 3], [2, 1]]], [13, [[9, 3]]], [17, [[10, 1], [5, 3], [2, 1]]], [19, [[6, 2], [3, 2], [2, 4], [1, 1]]], [23, [[6, 4], [3, 1]]], [29, [[10, 1], [5, 3], [2, 1]]], [31, [[6, 2], [3, 2], [2, 4], [1, 1]]], [37, [[5, 5], [1, 2]]], [41, [[12, 1], [6, 1], [4, 2], [1, 1]]], [43, [[9, 3]]], [47, [[8, 3], [2, 1], [1, 1]]], [53, [[10, 1], [5, 3], [2, 1]]], [59, [[12, 1], [6, 1], [4, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '27T1161', 'galt': 1161, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 6, 'label': '27.3.177801404718372423264819198352687104000000000000000000000000000000000000000000000000.6', 'local_algs': ['2.1.1.0a1.1', '2.2.1.0a1.1', '2.2.4.22a1.23', '2.2.8.48c13.729', 'm3.27.1.60', '5.1.2.1a1.2', '5.1.5.9a1.1', '5.1.10.19a2.1', '5.1.10.19a1.4'], 'monogenic': -1, 'num_ram': 3, 'r2': 12, 'ramps': [2, 3, 5], 'rd': 1211.5209622360157, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', '1/30*a^4 - 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Number field data - 27.3.177801404718372423264819198352687104000000000000000000000000000000000000000000000000.6