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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, 3, -5, 9, -12, 13, -11, 7, -3, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 209352647, 'disc_rad': 69391, 'disc_sign': -1, 'frobs': [[2, [[5, 2]]], [3, [[6, 1], [4, 1]]], [5, [[4, 2], [2, 1]]], [7, [0]], [11, [[10, 1]]], [13, [[5, 2]]], [17, [[10, 1]]], [19, [[4, 1], [3, 2]]], [23, [0]], [29, [[3, 2], [2, 2]]], [31, [[6, 1], [2, 1], [1, 2]]], [37, [[4, 2], [2, 1]]], [41, [[4, 2], [1, 2]]], [43, [[4, 2], [2, 1]]], [47, [[3, 2], [1, 4]]], [53, [[10, 1]]], [59, [[3, 2], [2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [1920, 1920, 1920], 'galois_label': '10T39', 'galt': 39, 'grd': 263.4217151261452, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.209352647.1', 'local_algs': ['7.4.2.1', '7.6.0.1', '23.2.0.1', '23.2.1.1', '23.2.0.1', '23.4.0.1', 'm431.1.1.0', 'm431.1.1.0', 'm431.2.1.1', 'm431.2.1.1', 'm431.1.4.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 5, 'ramps': [7, 23, 431], 'rd': 6.79341030426, 'regulator': {'__RealLiteral__': 0, 'data': '0.568036883757', 'prec': 47}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.0.-1.0.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{8} - 2 a^{7} + 5 a^{6} - 6 a^{5} + 6 a^{4} - 4 a^{3} + 2 a^{2} + 1 \\)', '\\( a \\)', '\\( a^{9} - 3 a^{8} + 6 a^{7} - 10 a^{6} + 10 a^{5} - 10 a^{4} + 7 a^{3} - 4 a^{2} + 2 a - 2 \\)', '\\( 2 a^{9} - 4 a^{8} + 10 a^{7} - 13 a^{6} + 14 a^{5} - 12 a^{4} + 7 a^{3} - 3 a^{2} + 3 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 - 10.0.209352647.1