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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [416, 0, -64, 0, 40, 0, -4, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 778657857536, 'disc_rad': 26, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 2], [2, 1]]], [5, [[2, 4]]], [7, [[3, 2], [2, 1]]], [11, [[3, 2], [1, 2]]], [13, [0]], [17, [[6, 1], [2, 1]]], [19, [[6, 1], [2, 1]]], [23, [[6, 1], [2, 1]]], [29, [[3, 2], [2, 1]]], [31, [[4, 1], [2, 2]]], [37, [[6, 1], [2, 1]]], [41, [[3, 2], [2, 1]]], [43, [[6, 1], [1, 2]]], [47, [[2, 3], [1, 2]]], [53, [[4, 1], [2, 2]]], [59, [[3, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [666, 160], 'galois_label': '8T38', 'galt': 38, 'grd': 93.86072930307273, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '8.0.778657857536.1', 'local_algs': ['2.8.21.29', '13.2.1.2', '13.3.2.2', '13.3.2.2'], 'minimal_sibling': [26, 0, 0, 0, 26, 0, 10, 0, 1], 'monogenic': 0, 'num_ram': 2, 'r2': 4, 'ramps': [2, 13], 'rd': 30.6491428848, 'regulator': {'__RealLiteral__': 0, 'data': '752.014675319', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['2.4.2.-2.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{8} a^{6} - \\frac{1}{4} a^{4} + 2 a^{2} - 5 \\)', '\\( \\frac{1}{20} a^{7} - \\frac{1}{2} a^{5} + \\frac{5}{4} a^{4} + \\frac{1}{2} a^{3} - \\frac{46}{5} a + 21 \\)', '\\( \\frac{1}{20} a^{7} + \\frac{3}{10} a^{6} + \\frac{1}{2} a^{5} - \\frac{1}{4} a^{4} - \\frac{1}{2} a^{3} + 6 a^{2} + \\frac{84}{5} a + \\frac{79}{5} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/2*a^3', '1/4*a^4', '1/8*a^5', '1/40*a^6 + 2/5', '1/80*a^7 + 1/5*a']}
Number field data - 8.0.778657857536.1