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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 3, 1, -4, -2, 3, 1, -2, -1, 0, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 260270739, 'disc_rad': 3213219, 'disc_sign': -1, 'frobs': [[2, [[10, 1]]], [3, [0]], [5, [[8, 1], [2, 1]]], [7, [[5, 1], [3, 1], [2, 1]]], [11, [[10, 1]]], [13, [[5, 1], [2, 2], [1, 1]]], [17, [[8, 1], [2, 1]]], [19, [[4, 1], [3, 1], [2, 1], [1, 1]]], [23, [[10, 1]]], [29, [[6, 1], [2, 2]]], [31, [[5, 1], [4, 1], [1, 1]]], [37, [[4, 2], [1, 2]]], [41, [[8, 1], [2, 1]]], [43, [[4, 1], [2, 2], [1, 2]]], [47, [[6, 1], [2, 2]]], [53, [[6, 1], [2, 2]]], [59, [[4, 2], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [14400, 14400, 14400], 'galois_label': '10T43', 'galt': 43, 'grd': 1792.545396914678, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.260270739.1', 'local_algs': ['3.10.5.2', '163.1.0.1', '163.1.0.1', '163.1.0.1', '163.2.0.1', '163.2.1.2', '163.3.0.1', 'm6571.1.1.0', 'm6571.1.2.0', 'm6571.2.1.1', 'm6571.1.5.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 5, 'ramps': [3, 163, 6571], 'rd': 6.9429259695, 'regulator': {'__RealLiteral__': 0, 'data': '1.96704129047', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-1.1'], 'torsion_gen': '\\( -5 a^{9} + 4 a^{8} + 3 a^{7} + 8 a^{6} - 11 a^{5} - 8 a^{4} + 17 a^{3} + 8 a^{2} - 13 a - 7 \\)', 'torsion_order': 6, 'units': ['\\( a \\)', '\\( a^{9} - a^{8} - a^{7} - 2 a^{6} + 3 a^{5} + 2 a^{4} - 3 a^{3} - 3 a^{2} + 4 a + 3 \\)', '\\( a^{9} - a^{8} - 2 a^{6} + 3 a^{5} - 2 a^{3} - 2 a^{2} + 2 a + 1 \\)', '\\( 4 a^{9} - 2 a^{8} - 3 a^{7} - 6 a^{6} + 7 a^{5} + 9 a^{4} - 13 a^{3} - 9 a^{2} + 9 a + 7 \\)'], '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 - 10.0.260270739.1