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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -3, 6, -8, 10, -10, 9, -7, 4, -2, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 214816879, 'disc_rad': 130271, 'disc_sign': -1, 'frobs': [[2, [[5, 2]]], [3, [[4, 1], [3, 2]]], [5, [[5, 2]]], [7, [[10, 1]]], [11, [[8, 1], [2, 1]]], [13, [[8, 1], [2, 1]]], [17, [0]], [19, [[8, 1], [2, 1]]], [23, [[6, 1], [2, 1], [1, 2]]], [29, [[10, 1]]], [31, [[3, 2], [2, 2]]], [37, [[10, 1]]], [41, [[6, 1], [2, 2]]], [43, [[4, 1], [2, 2], [1, 2]]], [47, [[10, 1]]], [53, [[6, 1], [1, 4]]], [59, [[4, 1], [3, 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': 360.93074127871125, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.214816879.1', 'local_algs': ['17.4.2.1', '17.6.0.1', '79.2.1.2', '79.4.0.1', '79.4.0.1', '97.2.0.1', '97.4.0.1', '97.4.2.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 5, 'ramps': [17, 79, 97], 'rd': 6.81093664096, 'regulator': {'__RealLiteral__': 0, 'data': '0.577674891408', 'prec': 47}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-1.1.0.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{9} - 2 a^{8} + 3 a^{7} - 6 a^{6} + 7 a^{5} - 7 a^{4} + 7 a^{3} - 6 a^{2} + 4 a - 2 \\)', '\\( a \\)', '\\( a^{9} - 2 a^{8} + 4 a^{7} - 7 a^{6} + 9 a^{5} - 10 a^{4} + 10 a^{3} - 7 a^{2} + 5 a - 2 \\)', '\\( a^{4} - a^{3} + 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 - 10.0.214816879.1