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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [7, -2, -5, -3, 1, 5, 0, -3, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 8719893, 'disc_rad': 273, 'disc_sign': 1, 'frobs': [[2, [[8, 1]]], [3, [0]], [5, [[8, 1]]], [7, [0]], [11, [[8, 1]]], [13, [0]], [17, [[2, 4]]], [19, [[4, 1], [2, 2]]], [23, [[4, 2]]], [29, [[2, 4]]], [31, [[4, 1], [2, 2]]], [37, [[4, 1], [2, 2]]], [41, [[8, 1]]], [43, [[2, 2], [1, 4]]], [47, [[8, 1]]], [53, [[2, 4]]], [59, [[8, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 16, 24], 'galois_label': '8T17', 'galt': 17, 'grd': 31.37380273734233, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '8.0.8719893.2', 'local_algs': ['3.8.4.1', '7.1.0.1', '7.1.0.1', '7.1.0.1', '7.1.0.1', '7.4.2.2', '13.4.0.1', '13.4.3.4'], 'monogenic': 1, 'num_ram': 3, 'r2': 4, 'ramps': [3, 7, 13], 'rd': 7.37163620696, 'regulator': {'__RealLiteral__': 0, 'data': '3.59771330101', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['1.-1.1', '1.1.-1.-1.1'], 'torsion_gen': '\\( 4 a^{7} - 6 a^{6} - 9 a^{5} + 6 a^{4} + 14 a^{3} + 9 a^{2} - 7 a - 18 \\)', 'torsion_order': 6, 'units': ['\\( a^{7} - a^{6} - 2 a^{5} + 2 a^{3} + 3 a^{2} - 3 \\)', '\\( 3 a^{7} - 4 a^{6} - 7 a^{5} + 4 a^{4} + 10 a^{3} + 6 a^{2} - 4 a - 12 \\)', '\\( a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}
Number field data - 8.0.8719893.2