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nf_fields • Show schema
{'class_group': [5], 'class_number': 5, 'cm': True, 'coeffs': [36, -6, -1, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 272473, 'disc_rad': 5141, 'disc_sign': 1, 'frobs': [[2, [[2, 2]]], [3, [[2, 2]]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[2, 2]]], [13, [[2, 1], [1, 2]]], [17, [[2, 1], [1, 2]]], [19, [[4, 1]]], [23, [[4, 1]]], [29, [[2, 1], [1, 2]]], [31, [[2, 2]]], [37, [[2, 1], [1, 2]]], [41, [[4, 1]]], [43, [[1, 4]]], [47, [[1, 4]]], [53, [0]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 71.7007670809734, 'index': 2, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.272473.1', 'local_algs': ['53.2.1.1', '53.2.1.1', '97.2.1.2', '97.2.0.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [53, 97], 'rd': 22.8470887313, 'regulator': {'__RealLiteral__': 0, 'data': '3.9314409433', 'prec': 40}, 'relative_class_number': 5, 'res': {'gal': ['21103,13522,1439,76,704,-20,41,-2,1'], 'sib': ['6,-11,12,-2,1', '21103,13522,1439,76,704,-20,41,-2,1']}, 'subfield_mults': [1], 'subfields': ['-13.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{6} a^{3} - \\frac{1}{6} a^{2} - \\frac{7}{6} a - 4 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/6*a^3 - 1/6*a^2 - 1/6*a']}
Number field data - 4.0.272473.1