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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [18, -24, 16, -6, 0, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 3385600, 'disc_rad': 230, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[2, 3]]], [5, [0]], [7, [[6, 1]]], [11, [[2, 3]]], [13, [[2, 2], [1, 2]]], [17, [[3, 2]]], [19, [[2, 3]]], [23, [0]], [29, [[3, 2]]], [31, [[6, 1]]], [37, [[3, 2]]], [41, [[3, 2]]], [43, [[2, 3]]], [47, [[2, 3]]], [53, [[3, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 27.02229605169353, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.3385600.1', 'local_algs': ['2.6.8.1', '5.1.0.1', '5.1.0.1', '5.2.1.2', '5.2.1.2', '23.2.0.1', '23.4.2.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 3, 'ramps': [2, 5, 23], 'rd': 12.2538513505, 'regulator': {'__RealLiteral__': 0, 'data': '33.8354673478', 'prec': 44}, 'res': {'gal': ['625,-2250,5035,-6270,2934,906,-1225,48,240,-12,-23,0,1'], 'sex': ['-3,5,-1,1', '-115,0,1', '0,1'], 'sib': ['110,-120,16,-30,8,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['1.0.1', '-3.5.-1.1'], 'torsion_gen': '\\( \\frac{16}{165} a^{5} + \\frac{4}{55} a^{4} + \\frac{3}{55} a^{3} - \\frac{16}{55} a^{2} + \\frac{4}{3} a - \\frac{73}{55} \\)', 'torsion_order': 4, 'units': ['\\( \\frac{23}{165} a^{5} - \\frac{8}{55} a^{4} - \\frac{6}{55} a^{3} - \\frac{78}{55} a^{2} + \\frac{11}{3} a - \\frac{129}{55} \\)', '\\( \\frac{53}{165} a^{5} + \\frac{27}{55} a^{4} + \\frac{34}{55} a^{3} - \\frac{108}{55} a^{2} + \\frac{11}{3} a - \\frac{259}{55} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/165*a^5 + 14/55*a^4 - 17/55*a^3 - 1/55*a^2 + 1/3*a - 8/55']}
Number field data - 6.0.3385600.1