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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': True, 'coeffs': [1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 27, 'degree': 18, 'dirichlet_group': [1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26], 'disc_abs': 2954312706550833698643, 'disc_rad': 3, 'disc_sign': -1, 'frobs': [[2, [[18, 1]]], [3, [0]], [5, [[18, 1]]], [7, [[9, 2]]], [11, [[18, 1]]], [13, [[9, 2]]], [17, [[6, 3]]], [19, [[3, 6]]], [23, [[18, 1]]], [29, [[18, 1]]], [31, [[9, 2]]], [37, [[3, 6]]], [41, [[18, 1]]], [43, [[9, 2]]], [47, [[18, 1]]], [53, [[2, 9]]], [59, [[18, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [45], 'galois_label': '18T1', 'galt': 1, 'grd': 15.588457268119896, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '18.0.2954312706550833698643.1', 'local_algs': ['m3.18.1.45'], 'monogenic': 1, 'num_ram': 1, 'r2': 9, 'ramps': [3], 'rd': 15.5884572681, 'regulator': {'__RealLiteral__': 0, 'data': '40934.0329443', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['1.-1.1', '-1.-3.0.1', '1.0.0.-1.0.0.1', '-1.9.0.-30.0.27.0.-9.0.1'], 'torsion_gen': '\\( a \\)', 'torsion_order': 54, 'units': ['\\( a^{13} + a \\)', '\\( a^{15} - a^{9} + 1 \\)', '\\( a^{14} + a^{9} - a^{5} \\)', '\\( a^{13} + a^{9} \\)', '\\( a^{8} - a^{7} \\)', '\\( a^{16} + a^{9} - a^{7} \\)', '\\( a^{4} + a^{2} \\)', '\\( a^{10} + a^{9} - a \\)'], '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 - 18.0.2954312706550833698643.1