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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-4, 0, 0, 0, 2, 0, 0, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 2621440000, 'disc_rad': 10, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[8, 1]]], [5, [0]], [7, [[8, 1]]], [11, [[2, 3], [1, 2]]], [13, [[2, 4]]], [17, [[2, 4]]], [19, [[2, 3], [1, 2]]], [23, [[8, 1]]], [29, [[4, 2]]], [31, [[2, 3], [1, 2]]], [37, [[2, 4]]], [41, [[4, 2]]], [43, [[8, 1]]], [47, [[8, 1]]], [53, [[2, 4]]], [59, [[2, 3], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 8], 'galois_label': '8T6', 'galt': 6, 'grd': 17.88854381999832, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '8.2.2621440000.2', 'local_algs': ['2.2.4.22a1.76', '5.2.2.2a1.2', '5.2.2.2a1.2'], 'minimal_sibling': [5, 0, -12, 0, 12, 0, -4, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 3, 'ramps': [2, 5], 'rd': 15.0424123723, 'regulator': {'__RealLiteral__': 0, 'data': '33.4431402995', 'prec': 44}, 'res': {'gal': ['25,0,-20,0,44,0,96,0,99,0,32,0,-4,0,-4,0,1'], 'sib': ['5,0,-12,0,12,0,-4,0,1', '25,0,-20,0,44,0,96,0,99,0,32,0,-4,0,-4,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-4.0.-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{2} a^{4} \\)', '\\( \\frac{1}{2} a^{6} + \\frac{1}{2} a^{4} + a^{2} + 1 \\)', '\\( \\frac{1}{2} a^{6} + a^{2} - a - 1 \\)', '\\( \\frac{1}{2} a^{5} + \\frac{1}{2} a^{4} + a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4', '1/2*a^5', '1/2*a^6', '1/2*a^7']}
Number field data - 8.2.2621440000.2