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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 3, -2, 5, -6, 5, -2, 3, -3, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 1538775332, 'disc_rad': 161738, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[6, 1], [4, 1]]], [5, [[4, 1], [3, 2]]], [7, [[5, 2]]], [11, [[5, 2]]], [13, [[5, 2]]], [17, [0]], [19, [[10, 1]]], [23, [[8, 1], [2, 1]]], [29, [[4, 2], [2, 1]]], [31, [[6, 1], [2, 1], [1, 2]]], [37, [[10, 1]]], [41, [[4, 2], [2, 1]]], [43, [[8, 1], [1, 2]]], [47, [[6, 1], [2, 2]]], [53, [[6, 1], [2, 1], [1, 2]]], [59, [[8, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [3840, 1920, 1920, 1920], 'galois_label': '10T39', 'galt': 39, 'grd': 568.7495054942905, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.1538775332.1', 'local_algs': ['2.2.2.1', '2.4.0.1', '2.4.0.1', '17.2.1.2', '17.8.0.1', '67.1.0.1', '67.1.0.1', '67.4.2.1', '67.4.0.1', '71.2.1.2', '71.2.1.2', '71.3.0.1', '71.3.0.1'], 'monogenic': 1, 'num_ram': 4, 'r2': 5, 'ramps': [2, 17, 67, 71], 'rd': 8.29311182634, 'regulator': {'__RealLiteral__': 0, 'data': '3.11760635261', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['-1.2.-1.2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( 2 a^{9} - 5 a^{8} + 2 a^{7} + 3 a^{6} + 2 a^{5} - 3 a^{4} + a^{3} + 5 a^{2} - a - 1 \\)', '\\( a \\)', '\\( 2 a^{9} - 6 a^{8} + 6 a^{7} - 4 a^{6} + 9 a^{5} - 9 a^{4} + 7 a^{3} - 3 a^{2} + 4 a - 3 \\)', '\\( a^{8} - 3 a^{7} + 3 a^{6} - a^{5} + 2 a^{4} - 3 a^{3} + 3 a^{2} + a \\)'], '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 - 10.0.1538775332.1