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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-3, 0, 8, 0, -3, 0, -2, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 1354432512, 'disc_rad': 498, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[8, 1]]], [7, [[6, 1], [2, 1]]], [11, [[3, 2], [2, 1]]], [13, [[4, 2]]], [17, [[6, 1], [1, 2]]], [19, [[4, 2]]], [23, [[4, 1], [2, 2]]], [29, [[3, 2], [2, 1]]], [31, [[3, 2], [1, 2]]], [37, [[6, 1], [2, 1]]], [41, [[4, 1], [2, 2]]], [43, [[4, 1], [2, 1], [1, 2]]], [47, [[8, 1]]], [53, [[4, 1], [1, 4]]], [59, [[6, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [960, 192, 192], 'galois_label': '8T44', 'galt': 44, 'grd': 89.26365441768559, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 6, 'label': '8.2.1354432512.6', 'local_algs': ['2.2.4.16b2.8', '3.1.2.1a1.1', '3.3.1.0a1.1', '3.3.1.0a1.1', '83.4.1.0a1.1', '83.2.2.2a1.2'], 'monogenic': 1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 3, 'ramps': [2, 3, 83], 'rd': 13.8506345733, 'regulator': {'__RealLiteral__': 0, 'data': '31.4149011924', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-2.-3.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{6} - a^{4} - 4 a^{2} + 4 \\)', '\\( a^{6} - 3 a^{2} + 1 \\)', '\\( a^{7} - a^{6} - a^{5} + a^{4} - 4 a^{3} + 4 a^{2} + 4 a - 4 \\)', '\\( a^{7} - a^{6} - 2 a^{5} + a^{4} - 4 a^{3} + 3 a^{2} + 7 a - 5 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7']}
Number field data - 8.2.1354432512.6