-
nf_fields • Show schema
Hide schema
{'class_group': [8], 'class_number': 8, 'cm': False, 'coeffs': [40, 0, 2, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 60840, 'disc_rad': 390, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[4, 1]]], [11, [[2, 1], [1, 2]]], [13, [0]], [17, [[4, 1]]], [19, [[4, 1]]], [23, [[4, 1]]], [29, [[4, 1]]], [31, [[2, 2]]], [37, [[2, 2]]], [41, [[1, 4]]], [43, [[1, 4]]], [47, [[2, 1], [1, 2]]], [53, [[2, 2]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 4, 4, 4], 'galois_label': '4T3', 'galt': 3, 'grd': 39.496835316262995, 'index': 2, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 4, 'label': '4.0.60840.4', 'local_algs': ['2.1.0.1', '2.1.0.1', '2.2.3.2', '3.4.2.1', '5.2.1.1', '5.2.0.1', '13.2.1.1', '13.2.1.1'], 'monogenic': -1, 'num_ram': 4, 'r2': 2, 'ramps': [2, 3, 5, 13], 'rd': 15.705338503, 'regulator': {'__RealLiteral__': 0, 'data': '4.15272439305', 'prec': 44}, 'res': {'gal': ['1600,-3200,3320,-1800,554,-84,5,-2,1'], 'sib': ['-1,-20,-4,0,1', '1600,-3200,3320,-1800,554,-84,5,-2,1']}, 'subfield_mults': [1], 'subfields': ['10.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{4} a^{3} + \\frac{1}{2} a^{2} + \\frac{1}{2} a - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/8*a^3 - 1/4*a^2 - 1/4*a - 1/2']}