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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -2, 5, -2, -7, 8, 0, -6, 4, 1, -2, 1], 'conductor': 0, 'degree': 11, 'dirichlet_group': [], 'disc_abs': 136113034225, 'disc_rad': 368935, 'disc_sign': 1, 'frobs': [[2, [[11, 1]]], [3, [[11, 1]]], [5, [0]], [7, [0]], [11, [[11, 1]]], [13, [[11, 1]]], [17, [[6, 1], [4, 1], [1, 1]]], [19, [[6, 1], [4, 1], [1, 1]]], [23, [[11, 1]]], [29, [[11, 1]]], [31, [[5, 1], [4, 1], [2, 1]]], [37, [[5, 1], [2, 2], [1, 2]]], [41, [[7, 1], [3, 1], [1, 1]]], [43, [[11, 1]]], [47, [[6, 1], [4, 1], [1, 1]]], [53, [[6, 1], [3, 1], [2, 1]]], [59, [[8, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [9979200, 9979200, 13305600, 13305600], 'galois_label': '11T7', 'galt': 7, 'grd': 2844.1679033165196, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '11.3.136113034225.1', 'local_algs': ['5.1.0.1', '5.4.2.2', '5.6.0.1', '7.4.2.1', '7.7.0.1', '83.1.0.1', '83.2.0.1', '83.3.2.1', '83.5.0.1', '127.1.0.1', '127.3.2.1', '127.7.0.1'], 'monogenic': 1, 'num_ram': 4, 'r2': 4, 'ramps': [5, 7, 83, 127], 'rd': 10.2842518003, 'regulator': {'__RealLiteral__': 0, 'data': '13.1993869045', 'prec': 44}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{9} - a^{8} + 3 a^{6} - 2 a^{5} - 2 a^{4} + 4 a^{3} - 2 a^{2} - 2 a + 1 \\)', '\\( a^{10} - a^{9} - a^{8} + 4 a^{7} - 2 a^{6} - 4 a^{5} + 5 a^{4} - a^{3} - 4 a^{2} + 2 a \\)', '\\( a \\)', '\\( a^{9} - a^{8} - a^{7} + 4 a^{6} - a^{5} - 5 a^{4} + 4 a^{3} + a^{2} - 4 a \\)', '\\( a^{8} - 2 a^{7} + a^{6} + 3 a^{5} - 4 a^{4} + 4 a^{2} - 3 a \\)', '\\( a^{8} - a^{7} + 3 a^{5} - 2 a^{4} - 2 a^{3} + 3 a^{2} - a - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10']}
Number field data - 11.3.136113034225.1