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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -3, 2, -6, -3, 15, 4, -7, -1, 1], 'conductor': 0, 'degree': 9, 'dirichlet_group': [], 'disc_abs': 9305918251, 'disc_rad': 553693, 'disc_sign': -1, 'frobs': [[2, [[6, 1], [3, 1]]], [3, [[6, 1], [3, 1]]], [5, [[3, 3]]], [7, [0]], [11, [[6, 1], [3, 1]]], [13, [[3, 2], [2, 1], [1, 1]]], [17, [[9, 1]]], [19, [[9, 1]]], [23, [[6, 1], [3, 1]]], [29, [[3, 1], [2, 2], [1, 2]]], [31, [[6, 1], [3, 1]]], [37, [[9, 1]]], [41, [[3, 1], [2, 2], [1, 2]]], [43, [[3, 1], [2, 2], [1, 2]]], [47, [[9, 1]]], [53, [[6, 1], [3, 1]]], [59, [[9, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [432, 324, 324], 'galois_label': '9T28', 'galt': 28, 'grd': 1029.163060638494, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '9.7.9305918251.1', 'local_algs': ['7.9.6.1', '83.1.0.1', '83.1.0.1', '83.1.0.1', '83.1.0.1', '83.1.0.1', '83.2.1.1', '83.2.0.1', 'm953.1.1.0', 'm953.1.1.0', 'm953.1.2.0', 'm953.2.1.1', 'm953.1.3.0'], 'monogenic': 1, 'num_ram': 3, 'r2': 1, 'ramps': [7, 83, 953], 'rd': 12.812678086, 'regulator': {'__RealLiteral__': 0, 'data': '48.5682110199', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} - a^{3} - 3 a^{2} + a + 1 \\)', '\\( a^{8} - 2 a^{7} - 5 a^{6} + 8 a^{5} + 8 a^{4} - 7 a^{3} - 2 a^{2} + a - 1 \\)', '\\( a \\)', '\\( a^{7} - 2 a^{6} - 4 a^{5} + 7 a^{4} + 4 a^{3} - 4 a^{2} - 1 \\)', '\\( a^{8} - 2 a^{7} - 4 a^{6} + 7 a^{5} + 3 a^{4} - 4 a^{3} + 4 a^{2} - 1 \\)', '\\( a^{4} - a^{3} - 3 a^{2} + 2 a \\)', '\\( a^{8} - 2 a^{7} - 5 a^{6} + 8 a^{5} + 8 a^{4} - 7 a^{3} - a^{2} - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8']}
Number field data - 9.7.9305918251.1