-
nf_fields • Show schema
{'class_group': [2, 2], 'class_number': 4, 'cm': True, 'coeffs': [64, 0, 116, 0, 21, 0, 1], 'conductor': 124, 'degree': 6, 'dirichlet_group': [1, 67, 5, 87, 25, 63], 'disc_abs': 59105344, 'disc_rad': 62, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [[3, 2]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[3, 2]]], [17, [[3, 2]]], [19, [[6, 1]]], [23, [[2, 3]]], [29, [[1, 6]]], [31, [0]], [37, [[3, 2]]], [41, [[3, 2]]], [43, [[6, 1]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 4], 'galois_label': '6T1', 'galt': 1, 'grd': 19.736544806437948, 'index': 8, 'inessentialp': [2], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.59105344.1', 'local_algs': ['2.1.2.2a1.1', '2.1.2.2a1.1', '2.1.2.2a1.1', '31.2.3.4a1.2'], 'maximal_cm_subfield': [64, 0, 116, 0, 21, 0, 1], 'monogenic': -1, 'narrow_class_group': [2, 2], 'narrow_class_number': 4, 'num_ram': 2, 'r2': 3, 'ramps': [2, 31], 'rd': 19.7365448064, 'regulator': {'__RealLiteral__': 0, 'data': '48.7831276503', 'prec': 44}, 'relative_class_number': 4, 'res': {'sex': ['8,-10,-1,1', '1,0,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.0.1', '8.-10.-1.1'], 'torsion_gen': '\\( -\\frac{1}{16} a^{5} - \\frac{13}{16} a^{3} - \\frac{7}{4} a \\)', 'torsion_order': 4, 'units': ['\\( \\frac{3}{16} a^{5} + \\frac{71}{16} a^{3} + \\frac{101}{4} a \\)', '\\( \\frac{3}{2} a^{4} + \\frac{31}{2} a^{2} + 9 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a', '1/4*a^4 + 1/4*a^2', '1/16*a^5 - 3/16*a^3 - 1/4*a']}
Number field data - 6.0.59105344.1