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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, 2, -3, 3, -3, 3, -2, 2, -1, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 274550779, 'disc_rad': 274550779, 'disc_sign': -1, 'frobs': [[2, [[10, 1]]], [3, [[10, 1]]], [5, [[5, 2]]], [7, [[8, 1], [2, 1]]], [11, [[9, 1], [1, 1]]], [13, [[7, 1], [3, 1]]], [17, [[10, 1]]], [19, [0]], [23, [[5, 1], [4, 1], [1, 1]]], [29, [[8, 1], [2, 1]]], [31, [[5, 2]]], [37, [[9, 1], [1, 1]]], [41, [[5, 1], [4, 1], [1, 1]]], [43, [[8, 1], [1, 2]]], [47, [[9, 1], [1, 1]]], [53, [[5, 1], [4, 1], [1, 1]]], [59, [[3, 1], [2, 2], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [1814400, 1814400], 'galois_label': '10T45', 'galt': 45, 'grd': 16569.57389313316, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.274550779.1', 'local_algs': ['19.2.0.1', '19.2.1.2', '19.6.0.1', 'm14450041.1.1.0', 'm14450041.2.1.1', 'm14450041.1.7.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 5, 'ramps': [19, 14450041], 'rd': 6.98011002054, 'regulator': {'__RealLiteral__': 0, 'data': '0.6811521995711005', 'prec': 60}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{9} + 2 a^{7} + 3 a^{5} - a^{4} + 3 a^{3} - a^{2} + a - 2 \\)', '\\( a^{6} + a^{4} + a^{2} \\)', '\\( 2 a^{9} - a^{8} + 3 a^{7} - a^{6} + 4 a^{5} - 2 a^{4} + 3 a^{3} - 2 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']}
Number field data - 10.0.274550779.1