-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-256, 0, 192, -384, -432, 1008, -728, 0, 1332, -768, 18, 366, -369, -27, 117, -1, -18, 0, 1], 'conductor': 0, 'degree': 18, 'dirichlet_group': [], 'disc_abs': 727702811914257020738325491712, 'disc_rad': 78, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[12, 1], [4, 1], [2, 1]]], [7, [[12, 1], [4, 1], [2, 1]]], [11, [[12, 1], [6, 1]]], [13, [0]], [17, [[2, 7], [1, 4]]], [19, [[4, 4], [2, 1]]], [23, [[6, 2], [2, 2], [1, 2]]], [29, [[6, 1], [3, 4]]], [31, [[4, 4], [2, 1]]], [37, [[4, 3], [2, 3]]], [41, [[12, 1], [4, 1], [2, 1]]], [43, [[6, 1], [2, 4], [1, 4]]], [47, [[4, 3], [2, 3]]], [53, [[6, 1], [3, 4]]], [59, [[12, 1], [6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [17496, 25560, 8748], 'galois_label': '18T576', 'galt': 576, 'grd': 215.0532439469929, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '18.6.727702811914257020738325491712.1', 'local_algs': ['2.2.1.0a1.1', '2.2.2.4a2.1', '2.4.1.0a1.1', '2.4.2.8a3.1', '3.1.9.18c4.3', '3.3.3.9a2.1', '13.3.2.3a1.2', '13.3.4.9a1.3'], 'monogenic': -1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 3, 'r2': 6, 'ramps': [2, 3, 13], 'rd': 45.6034235559, 'regulator': {'__RealLiteral__': 0, 'data': '289404566.926', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-3.-1.1', '-3.0.6.1.-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{11286251129364843}{13994876904719596192} a^{17} + \\frac{15239878347654063}{27989753809439192384} a^{16} - 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Number field data - 18.6.727702811914257020738325491712.1