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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [20, 0, 0, 0, -4, 0, 0, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 2097152000, 'disc_rad': 10, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [0]], [7, [[8, 1]]], [11, [[4, 2]]], [13, [[4, 1], [1, 4]]], [17, [[4, 1], [1, 4]]], [19, [[2, 4]]], [23, [[8, 1]]], [29, [[4, 2]]], [31, [[4, 2]]], [37, [[4, 1], [1, 4]]], [41, [[4, 2]]], [43, [[8, 1]]], [47, [[8, 1]]], [53, [[4, 1], [1, 4]]], [59, [[2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [96, 24], 'galois_label': '8T17', 'galt': 17, 'grd': 26.74961219905688, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 7, 'label': '8.0.2097152000.7', 'local_algs': ['2.8.24.70', '5.2.0.1', '5.2.0.1', '5.4.3.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 4, 'ramps': [2, 5], 'rd': 14.6286327998, 'regulator': {'__RealLiteral__': 0, 'data': '85.2483025563', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['1.0.1', '5.0.-4.0.1'], 'torsion_gen': '\\( -\\frac{1}{4} a^{4} + \\frac{1}{2} \\)', 'torsion_order': 4, 'units': ['\\( \\frac{1}{4} a^{4} - a^{2} + \\frac{3}{2} \\)', '\\( \\frac{1}{8} a^{6} + \\frac{1}{4} a^{5} + \\frac{1}{4} a^{4} + \\frac{1}{4} a^{2} - \\frac{1}{2} a - \\frac{3}{2} \\)', '\\( \\frac{1}{8} a^{6} - \\frac{1}{4} a^{4} + \\frac{1}{4} a^{2} + a + \\frac{3}{2} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/4*a^4 - 1/2', '1/8*a^5 - 1/2*a^3 + 1/4*a', '1/8*a^6 + 1/4*a^2', '1/8*a^7 + 1/4*a^3']}
Number field data - 8.0.2097152000.7