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nf_fields • Show schema
{'class_group': [8], 'class_number': 8, 'cm': False, 'coeffs': [16, 8, 10, -2, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 78608, 'disc_rad': 34, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[2, 1], [1, 2]]], [5, [[4, 1]]], [7, [[2, 1], [1, 2]]], [11, [[2, 1], [1, 2]]], [13, [[2, 2]]], [17, [0]], [19, [[2, 2]]], [23, [[2, 1], [1, 2]]], [29, [[4, 1]]], [31, [[2, 1], [1, 2]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[2, 2]]], [47, [[2, 2]]], [53, [[2, 2]]], [59, [[2, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [8, 6], 'galois_label': '4T3', 'galt': 3, 'grd': 16.74428805718538, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '4.0.78608.2', 'local_algs': ['2.2.2.1', '2.2.2.1', '17.4.3.1'], 'minimal_sibling': [-17, 0, 0, 0, 1], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 17], 'rd': 16.7442880572, 'regulator': {'__RealLiteral__': 0, 'data': '4.88251485167', 'prec': 44}, 'res': {'gal': ['16,8,2,-22,17,-10,8,-4,1'], 'sib': ['-17,0,0,0,1', '16,8,2,-22,17,-10,8,-4,1']}, 'subfield_mults': [1], 'subfields': ['17.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{4} a^{3} - \\frac{1}{2} a^{2} - \\frac{1}{2} a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/4*a^3 - 1/2*a']}
Number field data - 4.0.78608.2