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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 3, -6, 10, -11, 11, -8, 5, -3, 1], 'conductor': 0, 'degree': 9, 'dirichlet_group': [], 'disc_abs': 66711661, 'disc_rad': 126109, 'disc_sign': 1, 'frobs': [[2, [[6, 1], [3, 1]]], [3, [[9, 1]]], [5, [[4, 1], [3, 1], [2, 1]]], [7, [[4, 1], [3, 1], [2, 1]]], [11, [[6, 1], [2, 1], [1, 1]]], [13, [[9, 1]]], [17, [[6, 1], [3, 1]]], [19, [[4, 1], [3, 1], [2, 1]]], [23, [0]], [29, [[6, 1], [3, 1]]], [31, [[9, 1]]], [37, [[6, 1], [1, 3]]], [41, [[6, 1], [3, 1]]], [43, [[6, 1], [3, 1]]], [47, [[3, 3]]], [53, [[4, 1], [2, 2], [1, 1]]], [59, [[3, 1], [2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [648, 648], 'galois_label': '9T31', 'galt': 31, 'grd': 355.11829015132406, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '9.1.66711661.1', 'local_algs': ['23.1.0.1', '23.2.0.1', '23.2.1.2', '23.4.2.1', 'm5483.1.1.0', 'm5483.1.1.0', 'm5483.1.1.0', 'm5483.1.1.0', 'm5483.1.1.0', 'm5483.1.2.0', 'm5483.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 4, 'ramps': [23, 5483], 'rd': 7.4021136771, 'regulator': {'__RealLiteral__': 0, 'data': '1.17347955045', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.0.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a^{8} - 5 a^{7} + 7 a^{6} - 11 a^{5} + 14 a^{4} - 11 a^{3} + 9 a^{2} - 3 a + 1 \\)', '\\( a^{8} - 3 a^{7} + 5 a^{6} - 8 a^{5} + 11 a^{4} - 11 a^{3} + 10 a^{2} - 6 a + 3 \\)', '\\( a^{8} - 3 a^{7} + 4 a^{6} - 5 a^{5} + 7 a^{4} - 5 a^{3} + 2 a^{2} - 1 \\)', '\\( a^{8} - 3 a^{7} + 5 a^{6} - 8 a^{5} + 11 a^{4} - 11 a^{3} + 10 a^{2} - 6 a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8']}
Number field data - 9.1.66711661.1