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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 2, -3, 3, -3, 2, -1, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1361513, 'disc_rad': 4811, 'disc_sign': 1, 'frobs': [[2, [[4, 2]]], [3, [[8, 1]]], [5, [[8, 1]]], [7, [[3, 2], [2, 1]]], [11, [[3, 2], [2, 1]]], [13, [[6, 1], [2, 1]]], [17, [0]], [19, [[4, 2]]], [23, [[6, 1], [1, 2]]], [29, [[6, 1], [1, 2]]], [31, [[8, 1]]], [37, [[4, 1], [2, 2]]], [41, [[6, 1], [1, 2]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[4, 1], [2, 1], [1, 2]]], [59, [[3, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [192, 192], 'galois_label': '8T44', 'galt': 44, 'grd': 69.36137253543934, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.1361513.1', 'local_algs': ['17.2.0.1', '17.2.1.1', '17.4.0.1', 'm283.1.1.0', 'm283.1.1.0', 'm283.1.2.0', 'm283.2.2.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 4, 'ramps': [17, 283], 'rd': 5.84457214701, 'regulator': {'__RealLiteral__': 0, 'data': '0.32641205382', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-1.-1.0.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{6} - a^{5} + 2 a^{4} - 3 a^{3} + 2 a^{2} - 2 a + 1 \\)', '\\( a^{6} - a^{5} + 2 a^{4} - 2 a^{3} + 2 a^{2} - 2 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}
Number field data - 8.0.1361513.1