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nf_fields • Show schema
{'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [4, 10, -2, -14, 4, 10, -2, -2, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 3215578176, 'disc_rad': 246, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[7, 1], [1, 1]]], [7, [[8, 1]]], [11, [[8, 1]]], [13, [[8, 1]]], [17, [[6, 1], [1, 2]]], [19, [[6, 1], [1, 2]]], [23, [[3, 2], [1, 2]]], [29, [[8, 1]]], [31, [[3, 2], [1, 2]]], [37, [[4, 2]]], [41, [0]], [43, [[2, 4]]], [47, [[8, 1]]], [53, [[8, 1]]], [59, [[4, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [288, 288, 168], 'galois_label': '8T43', 'galt': 43, 'grd': 29.74258520496421, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.3215578176.1', 'local_algs': ['2.1.0.1', '2.7.6.1', '3.1.0.1', '3.7.6.1', '41.2.0.1', '41.2.1.2', '41.4.2.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 41], 'rd': 15.431473026749007, 'regulator': {'__RealLiteral__': 0, 'data': '52.7514007724994', 'prec': 54}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{7} - 3 a^{6} + a^{5} + 9 a^{4} - 5 a^{3} - 9 a^{2} + 7 a + 3 \\)', '\\( a^{7} - 3 a^{6} + a^{5} + 9 a^{4} - 5 a^{3} - 9 a^{2} + 6 a + 5 \\)', '\\( -5 a^{7} + 13 a^{6} + 2 a^{5} - 51 a^{4} + 11 a^{3} + 63 a^{2} - 28 a - 33 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/6*a^7 + 1/3*a^6 - 1/3*a^4 + 1/3*a^3 - 1/3*a + 1/3']}
Number field data - 8.0.3215578176.1