-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-4, 0, 13, 0, 9, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 59428681, 'disc_rad': 7709, 'disc_sign': 1, 'frobs': [[2, [[2, 2], [1, 2]]], [3, [[4, 1], [2, 1]]], [5, [[3, 2]]], [7, [[3, 2]]], [11, [[2, 2], [1, 2]]], [13, [0]], [17, [[3, 2]]], [19, [[2, 2], [1, 2]]], [23, [[3, 2]]], [29, [[3, 2]]], [31, [[4, 1], [2, 1]]], [37, [[2, 2], [1, 2]]], [41, [[3, 2]]], [43, [[4, 1], [2, 1]]], [47, [[3, 2]]], [53, [[2, 2], [1, 2]]], [59, [[4, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 12], 'galois_label': '6T7', 'galt': 7, 'grd': 87.80091115700337, 'index': 4, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.2.59428681.1', 'local_algs': ['13.1.1.0a1.1', '13.1.1.0a1.1', '13.2.2.2a1.2', 'm593.1.1.0', 'm593.1.1.0', 'm593.2.1.1', 'm593.2.1.1'], 'minimal_sibling': [2, -3, 6, -2, 1], 'monogenic': -1, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 2, 'ramps': [13, 593], 'rd': 19.7544987882, 'regulator': {'__RealLiteral__': 0, 'data': '173.906063779', 'prec': 44}, 'res': {'sex': ['-1927,-1,1', '2,-3,6,-2,1'], 'sib': ['2,-3,6,-2,1', '-144,1168,140,-44,35,-3,1', '973168,80160,-108620,-6404,4949,190,-109,-2,1']}, 'subfield_mults': [1], 'subfields': ['-11.-14.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{2} a^{5} + \\frac{9}{2} a^{3} + \\frac{15}{2} a \\)', '\\( \\frac{1}{2} a^{4} + 2 a^{3} + 2 a^{2} + \\frac{9}{2} a + 2 \\)', '\\( \\frac{1}{2} a^{4} - 2 a^{3} + 2 a^{2} - \\frac{9}{2} a + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a^2 - 1/2*a', '1/2*a^4 - 1/2*a', '1/4*a^5 - 1/4*a^3 + 1/4*a - 1/2']}
Number field data - 6.2.59428681.1