-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 4, 0, 0, 0, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 153125, 'disc_rad': 35, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[2, 3]]], [5, [0]], [7, [0]], [11, [[3, 2]]], [13, [[2, 3]]], [17, [[2, 3]]], [19, [[2, 2], [1, 2]]], [23, [[6, 1]]], [29, [[3, 2]]], [31, [[2, 2], [1, 2]]], [37, [[6, 1]]], [41, [[2, 2], [1, 2]]], [43, [[6, 1]]], [47, [[2, 3]]], [53, [[2, 3]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [10, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 10.116354127720633, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.153125.1', 'local_algs': ['5.6.5.1', '7.2.0.1', '7.4.2.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 2, 'ramps': [5, 7], 'rd': 7.31432662849, 'regulator': {'__RealLiteral__': 0, 'data': '1.56253260729', 'prec': 44}, 'res': {'gal': ['1,3,4,0,0,3,-1,-3,0,0,4,-3,1'], 'sex': ['-3,2,-1,1', '9,-1,1', '0,1'], 'sib': ['1,4,5,0,5,-1,1', '1,3,4,0,0,3,-1,-3,0,0,4,-3,1']}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-3.2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{3} a^{5} - \\frac{1}{3} a^{4} + \\frac{1}{3} a^{3} - \\frac{2}{3} a^{2} + \\frac{2}{3} \\)', '\\( \\frac{1}{3} a^{4} - \\frac{2}{3} a^{3} + \\frac{1}{3} a - \\frac{1}{3} \\)', '\\( \\frac{1}{3} a^{5} - \\frac{1}{3} a^{4} + \\frac{1}{3} a^{3} + \\frac{1}{3} a^{2} + \\frac{2}{3} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4 + 1/3*a^3 + 1/3*a - 1/3', '1/3*a^5 - 1/3*a^3 + 1/3*a^2 + 1/3*a + 1/3']}
Number field data - 6.2.153125.1