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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [9, 0, -3, 0, 4, 0, 1, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 592240896, 'disc_rad': 78, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 2]]], [7, [[2, 4]]], [11, [[4, 2]]], [13, [0]], [17, [[2, 4]]], [19, [[2, 4]]], [23, [[2, 4]]], [29, [[2, 4]]], [31, [[2, 4]]], [37, [[2, 4]]], [41, [[4, 2]]], [43, [[2, 4]]], [47, [[4, 2]]], [53, [[2, 4]]], [59, [[4, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 4, 4], 'galois_label': '8T4', 'galt': 4, 'grd': 12.489995996796797, 'inessentialp': [2, 3], 'is_galois': True, 'is_minimal_sibling': False, 'iso_number': 5, 'label': '8.0.592240896.5', 'local_algs': ['2.4.4.2', '2.4.4.2', '3.2.1.2', '3.2.1.2', '3.2.1.2', '3.2.1.2', '13.4.2.1', '13.4.2.1'], 'minimal_sibling': [13, 0, 7, 0, 1], 'monogenic': -1, 'num_ram': 3, 'r2': 4, 'ramps': [2, 3, 13], 'rd': 12.4899959968, 'regulator': {'__RealLiteral__': 0, 'data': '63.3899064382', 'prec': 44}, 'res': {'sib': ['-3,0,-1,0,1', '13,0,7,0,1']}, 'subfield_mults': [1, 1, 1, 1, 2, 2], 'subfields': ['10.-1.1', '-3.-1.1', '1.-1.1', '9.3.4.-1.1', '-3.0.-1.0.1', '13.0.7.0.1'], 'torsion_gen': '\\( -\\frac{1}{12} a^{6} - \\frac{1}{3} a^{4} - \\frac{1}{3} a^{2} + \\frac{1}{4} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{1}{6} a^{6} - \\frac{1}{3} a^{4} + \\frac{2}{3} a^{2} - \\frac{1}{2} \\)', '\\( \\frac{5}{18} a^{7} - \\frac{1}{12} a^{6} + \\frac{4}{9} a^{5} - \\frac{1}{3} a^{4} + \\frac{7}{9} a^{3} - \\frac{1}{3} a^{2} - \\frac{1}{6} a + \\frac{5}{4} \\)', '\\( \\frac{1}{36} a^{7} + \\frac{1}{6} a^{6} + \\frac{4}{9} a^{5} + \\frac{2}{3} a^{4} + \\frac{7}{9} a^{3} + \\frac{2}{3} a^{2} + \\frac{7}{12} a + \\frac{1}{2} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', '1/12*a^6 + 1/3*a^4 + 1/3*a^2 - 1/4', '1/36*a^7 + 4/9*a^5 - 2/9*a^3 - 5/12*a']}
Number field data - 8.0.592240896.5