-
nf_fields • Show schema
Hide schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [12, 15, -12, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 408321, 'disc_rad': 213, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [0]], [5, [[3, 1], [1, 1]]], [7, [[3, 1], [1, 1]]], [11, [[3, 1], [1, 1]]], [13, [[3, 1], [1, 1]]], [17, [[2, 2]]], [19, [[2, 2]]], [23, [[3, 1], [1, 1]]], [29, [[3, 1], [1, 1]]], [31, [[3, 1], [1, 1]]], [37, [[2, 2]]], [41, [[3, 1], [1, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[2, 2]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 6], 'galois_label': '4T4', 'galt': 4, 'grd': 36.45783266912841, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.4.408321.1', 'local_algs': ['3.1.0.1', '3.3.4.2', '71.4.2.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 0, 'ramps': [3, 71], 'rd': 25.2784493195, 'regulator': {'__RealLiteral__': 0, 'data': '111.84406831', 'prec': 40}, 'res': {'gal': ['648,324,-4212,-1899,7236,2880,-3153,-882,543,92,-39,-3,1'], 'sib': ['-57,36,57,-16,-18,0,1', '648,324,-4212,-1899,7236,2880,-3153,-882,543,92,-39,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{2} + 2 a - 5 \\)', '\\( 2 a^{2} + a - 19 \\)', '\\( 2 a^{3} + 2 a^{2} - 19 a - 11 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}