-
nf_fields • Show schema
Hide schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1], 'conductor': 40, 'degree': 16, 'dirichlet_group': [1, 3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39], 'disc_abs': 1048576000000000000, 'disc_rad': 10, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 4]]], [5, [0]], [7, [[4, 4]]], [11, [[2, 8]]], [13, [[4, 4]]], [17, [[4, 4]]], [19, [[2, 8]]], [23, [[4, 4]]], [29, [[2, 8]]], [31, [[2, 8]]], [37, [[4, 4]]], [41, [[1, 16]]], [43, [[4, 4]]], [47, [[4, 4]]], [53, [[4, 4]]], [59, [[2, 8]]]], 'gal_is_abelian': True, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [32, 12], 'galois_label': '16T2', 'galt': 2, 'grd': 13.37480609952844, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '16.0.1048576000000000000.1', 'local_algs': ['m2.4.4.32', '5.8.6.1', '5.8.6.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 8, 'ramps': [2, 5], 'rd': 13.3748060995, 'regulator': {'__RealLiteral__': 0, 'data': '3557.06767863', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'subfields': ['1.0.1', '2.0.1', '-2.0.1', '-1.-1.1', '5.0.1', '10.0.1', '-10.0.1', '1.0.0.0.1', '1.0.3.0.1', '25.0.0.0.1', '4.0.6.0.1', '9.0.-4.0.1', '4.0.-6.0.1', '9.0.4.0.1', '1.-1.1.-1.1', '5.0.-5.0.1', '20.0.-10.0.1', '20.0.10.0.1', '1.0.0.0.7.0.0.0.1', '1.0.-1.0.1.0.-1.0.1', '25.0.0.0.15.0.0.0.1', '16.0.-8.0.4.0.-2.0.1', '1.0.12.0.19.0.8.0.1', '16.0.8.0.4.0.2.0.1', '1.0.-12.0.19.0.-8.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 40, 'units': ['\\( a^{8} - a^{4} \\)', '\\( a^{10} - a^{6} - a^{4} + 1 \\)', '\\( a^{14} + a^{12} + a^{6} + a^{4} - a^{2} - 1 \\)', '\\( a^{15} - a^{11} + a^{7} + a^{6} - a^{3} \\)', '\\( a^{13} + a^{12} \\)', '\\( a^{12} - a \\)', '\\( a^{12} + a^{9} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15']}