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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, -2, 0, 3, -7, 11, -11, 8, -4, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 853697693, 'disc_rad': 853697693, 'disc_sign': 1, 'frobs': [[2, [[10, 1]]], [3, [[10, 1]]], [5, [[10, 1]]], [7, [[5, 2]]], [11, [[10, 1]]], [13, [[8, 1], [2, 1]]], [17, [[10, 1]]], [19, [[10, 1]]], [23, [0]], [29, [[10, 1]]], [31, [[6, 1], [4, 1]]], [37, [[8, 1], [1, 2]]], [41, [[5, 1], [1, 5]]], [43, [[7, 1], [3, 1]]], [47, [[4, 1], [3, 2]]], [53, [[5, 1], [4, 1], [1, 1]]], [59, [[9, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [1814400, 1814400], 'galois_label': '10T45', 'galt': 45, 'grd': 29218.105568294464, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.2.853697693.1', 'local_algs': ['23.1.0.1', '23.2.0.1', '23.2.0.1', '23.2.1.1', '23.3.0.1', 'm37117291.1.1.0', 'm37117291.1.1.0', 'm37117291.1.1.0', 'm37117291.2.1.1', 'm37117291.1.5.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 4, 'ramps': [23, 37117291], 'rd': 7.81862548528, 'regulator': {'__RealLiteral__': 0, 'data': '1.7143525360225325', 'prec': 60}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{8} - 3 a^{7} + 4 a^{6} - 3 a^{5} + a^{4} + 2 a^{3} - 2 a^{2} + a - 1 \\)', '\\( a^{8} - 4 a^{7} + 7 a^{6} - 8 a^{5} + 7 a^{4} - 3 a^{3} - 2 \\)', '\\( a^{7} - 3 a^{6} + 4 a^{5} - 3 a^{4} + a^{3} + a^{2} \\)', '\\( 2 a^{9} - 7 a^{8} + 11 a^{7} - 11 a^{6} + 8 a^{5} - 2 a^{4} - 2 a \\)'], '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 - 10.2.853697693.1