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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 4, 5, 0, -4, -8, 4, 0, 5, -4, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 209715200000, 'disc_rad': 10, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[8, 1], [2, 1]]], [5, [0]], [7, [[8, 1], [2, 1]]], [11, [[4, 2], [2, 1]]], [13, [[4, 1], [2, 2], [1, 2]]], [17, [[5, 1], [4, 1], [1, 1]]], [19, [[10, 1]]], [23, [[8, 1], [2, 1]]], [29, [[4, 2], [1, 2]]], [31, [[4, 2], [2, 1]]], [37, [[4, 1], [2, 2], [1, 2]]], [41, [[4, 2], [1, 2]]], [43, [[8, 1], [2, 1]]], [47, [[8, 1], [2, 1]]], [53, [[4, 1], [2, 2], [1, 2]]], [59, [[10, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2400, 920], 'galois_label': '10T33', 'galt': 33, 'grd': 50.92200462185694, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.209715200000.1', 'local_algs': ['2.2.2.1', '2.8.24.75', '5.5.5.2', '5.5.0.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 5, 'ramps': [2, 5], 'rd': 13.5569811094, 'regulator': {'__RealLiteral__': 0, 'data': '208.253170812', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.0.1'], 'torsion_gen': '\\( \\frac{1}{2} a^{9} - \\frac{3}{2} a^{8} + 4 a^{6} + 2 a^{5} - 7 a^{4} - 4 a^{3} + \\frac{13}{2} a + \\frac{5}{2} \\)', 'torsion_order': 4, 'units': ['\\( a \\)', '\\( \\frac{3}{2} a^{9} - \\frac{15}{2} a^{8} + 14 a^{7} - 10 a^{6} + 10 a^{5} - 19 a^{4} + 7 a^{3} - a^{2} + \\frac{15}{2} a + \\frac{1}{2} \\)', '\\( a^{7} - 5 a^{6} + 9 a^{5} - 4 a^{4} - a^{3} - 4 a^{2} + 2 a + 3 \\)', '\\( a^{9} - 6 a^{8} + 15 a^{7} - 17 a^{6} + 9 a^{5} - 5 a^{4} + 9 a^{3} - 2 a^{2} - 3 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', '1/2*a^8 - 1/2', '1/2*a^9 - 1/2*a']}
Number field data - 10.0.209715200000.1