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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, 0, -6, 5, 2, -7, 4, 1, -2, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 964631552, 'disc_rad': 1884046, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[10, 1]]], [5, [[10, 1]]], [7, [[10, 1]]], [11, [[6, 1], [4, 1]]], [13, [[7, 1], [3, 1]]], [17, [[8, 1], [2, 1]]], [19, [[5, 1], [4, 1], [1, 1]]], [23, [[9, 1], [1, 1]]], [29, [[8, 1], [2, 1]]], [31, [[8, 1], [1, 2]]], [37, [[9, 1], [1, 1]]], [41, [[6, 1], [3, 1], [1, 1]]], [43, [[3, 1], [2, 3], [1, 1]]], [47, [[8, 1], [2, 1]]], [53, [[8, 1], [2, 1]]], [59, [[9, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [7030800, 1814400, 1814400], 'galois_label': '10T45', 'galt': 45, 'grd': 3717.7173637419914, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.2.964631552.1', 'local_algs': ['2.10.10.8', '61.1.0.1', '61.2.1.2', '61.7.0.1', 'm15443.1.1.0', 'm15443.2.1.1', 'm15443.1.3.0', 'm15443.1.4.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 4, 'ramps': [2, 61, 15443], 'rd': 7.91473076926, 'regulator': {'__RealLiteral__': 0, 'data': '1.8507144334675927', 'prec': 60}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{7} - 2 a^{6} + a^{5} + 3 a^{4} - 5 a^{3} + 2 a^{2} + 2 a - 2 \\)', '\\( a^{8} - 2 a^{7} + 2 a^{6} + 2 a^{5} - 6 a^{4} + 5 a^{3} - 4 a + 2 \\)', '\\( a^{9} - 2 a^{8} + a^{7} + 3 a^{6} - 5 a^{5} + a^{4} + 2 a^{3} - a^{2} - a \\)', '\\( a^{9} - 2 a^{8} + 2 a^{7} + 2 a^{6} - 6 a^{5} + 5 a^{4} - a^{3} - 4 a^{2} + 2 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9']}
Number field data - 10.2.964631552.1