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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [9, -13, 10, 10, -14, 6, 3, -3, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 411778125, 'disc_rad': 165, 'disc_sign': 1, 'frobs': [[2, [[8, 1]]], [3, [0]], [5, [0]], [7, [[8, 1]]], [11, [0]], [13, [[8, 1]]], [17, [[8, 1]]], [19, [[4, 2]]], [23, [[4, 1], [2, 2]]], [29, [[2, 4]]], [31, [[4, 2]]], [37, [[4, 1], [2, 2]]], [41, [[4, 2]]], [43, [[8, 1]]], [47, [[4, 1], [2, 2]]], [53, [[4, 1], [1, 4]]], [59, [[2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 24, 16], 'galois_label': '8T17', 'galt': 17, 'grd': 19.208102881010017, 'inessentialp': [3], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '8.0.411778125.2', 'local_algs': ['3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.1.0a1.1', '3.1.1.0a1.1', '3.2.2.2a1.1', '5.2.2.2a1.1', '5.1.4.3a1.2', '11.4.2.4a1.2'], 'maximal_cm_subfield': [3, -1, 1], 'minimal_sibling': [1, 1, 1, -2, -3, 2, 1, -1, 1], 'monogenic': -1, 'narrow_class_group': [2], 'narrow_class_number': 2, 'num_ram': 3, 'r2': 4, 'ramps': [3, 5, 11], 'rd': 11.9352881627, 'regulator': {'__RealLiteral__': 0, 'data': '14.3782492286', 'prec': 44}, 'res': {'sib': ['1,-3,3,-9,7,-15,27,-3,-15,-3,27,-15,7,-9,3,-3,1', '1,-5,18,-31,21,-9,14,6,-33,19,5,-6,5,-10,9,-4,1']}, 'subfield_mults': [1, 1], 'subfields': ['3.-1.1', '1.1.1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{3} a^{7} - \\frac{4}{3} a^{6} + \\frac{7}{3} a^{5} - \\frac{1}{3} a^{4} - \\frac{10}{3} a^{3} + \\frac{14}{3} a^{2} - \\frac{4}{3} a + 1 \\)', '\\( \\frac{1}{3} a^{7} - \\frac{7}{3} a^{6} + \\frac{19}{3} a^{5} - \\frac{22}{3} a^{4} - \\frac{7}{3} a^{3} + \\frac{47}{3} a^{2} - \\frac{52}{3} a + 5 \\)', '\\( a^{4} - a^{3} + 3 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/3*a^7 - 1/3*a^6 + 1/3*a^5 - 1/3*a^4 - 1/3*a^3 - 1/3*a^2 - 1/3*a']}
Number field data - 8.0.411778125.2