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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'conductor': 19, 'degree': 18, 'dirichlet_group': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], 'disc_abs': 5480386857784802185939, 'disc_rad': 19, 'disc_sign': -1, 'frobs': [[2, [[18, 1]]], [3, [[18, 1]]], [5, [[9, 2]]], [7, [[3, 6]]], [11, [[3, 6]]], [13, [[18, 1]]], [17, [[9, 2]]], [19, [0]], [23, [[9, 2]]], [29, [[18, 1]]], [31, [[6, 3]]], [37, [[2, 9]]], [41, [[18, 1]]], [43, [[9, 2]]], [47, [[9, 2]]], [53, [[18, 1]]], [59, [[18, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [17], 'galois_label': '18T1', 'galt': 1, 'grd': 16.132873714522805, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '18.0.5480386857784802185939.1', 'local_algs': ['19.18.17.14'], 'monogenic': 1, 'num_ram': 1, 'r2': 9, 'ramps': [19], 'rd': 16.1328737145, 'regulator': {'__RealLiteral__': 0, 'data': '22305.8950792', 'prec': 44}, 'relative_class_number': 1, 'res': {}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['5.-1.1', '7.-6.-1.1', '7.-5.-1.8.2.-1.1', '-1.5.10.-20.-15.21.7.-8.-1.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 38, 'units': ['\\( a^{12} - a^{11} \\)', '\\( a^{12} + a^{2} \\)', '\\( a^{7} - a^{2} \\)', '\\( a^{16} - a^{9} + a^{4} \\)', '\\( a^{13} - a^{12} + a^{11} - a^{10} + a^{9} - a^{8} + a^{7} - a^{6} + a^{5} - a^{4} + a^{3} - a^{2} + a \\)', '\\( a^{9} - a^{8} + a^{7} \\)', '\\( a^{17} - a^{16} + a^{15} - a^{14} - a^{12} + a^{11} + a^{9} - a^{8} + a^{7} - a^{6} - a^{4} + a^{3} + a - 1 \\)', '\\( a^{17} - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17']}
Number field data - 18.0.5480386857784802185939.1