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nf_fields • Show schema
{'class_group': [3, 12], 'class_number': 36, 'cm': False, 'coeffs': [272, 0, -72, 0, 1, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 754951232, 'disc_rad': 238, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[3, 2]]], [5, [[2, 3]]], [7, [0]], [11, [[3, 2]]], [13, [[3, 2]]], [17, [0]], [19, [[2, 3]]], [23, [[1, 6]]], [29, [[2, 3]]], [31, [[1, 6]]], [37, [[2, 3]]], [41, [[2, 3]]], [43, [[2, 3]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[2, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_label': '6T2', 'galt': 2, 'index': 8, 'inessentialp': [2], 'is_galois': True, 'iso_number': 1, 'label': '6.0.754951232.1', 'local_algs': ['2.2.2.1', '2.2.2.1', '2.2.2.1', '7.3.2.2', '7.3.2.2', '17.2.1.1', '17.2.1.1', '17.2.1.1'], 'monogenic': -1, 'num_ram': 3, 'r2': 3, 'ramps': [2, 7, 17], 'rd': 30.1754079177, 'regulator': {'__RealLiteral__': 0, 'data': '18.3805689725', 'prec': 44}, 'res': {'sex': ['-20,12,-1,1', '0,1', '0,1', '0,1'], 'sib': ['-20,12,-1,1']}, 'subfield_mults': [1, 3], 'subfields': ['17.0.1', '-20.12.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{64} a^{5} + \\frac{1}{32} a^{4} - \\frac{3}{64} a^{3} - \\frac{3}{32} a^{2} + \\frac{1}{16} a + \\frac{1}{8} \\)', '\\( \\frac{1}{16} a^{5} - \\frac{1}{8} a^{4} + \\frac{5}{16} a^{3} - \\frac{5}{8} a^{2} - \\frac{13}{4} a + \\frac{15}{2} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a', '1/32*a^4 - 1/4*a^3 + 13/32*a^2 - 1/4*a - 3/8', '1/64*a^5 + 13/64*a^3 - 1/2*a^2 + 5/16*a - 1/2']}
Number field data - 6.0.754951232.1