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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [4, 4, 18, 0, 24, -8, 20, -8, 8, -2, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 102294880256, 'disc_rad': 58, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[8, 1], [2, 1]]], [5, [[5, 2]]], [7, [[4, 2], [2, 1]]], [11, [[8, 1], [2, 1]]], [13, [[4, 2], [1, 2]]], [17, [[4, 1], [2, 2], [1, 2]]], [19, [[8, 1], [2, 1]]], [23, [[4, 2], [2, 1]]], [29, [0]], [31, [[8, 1], [2, 1]]], [37, [[5, 1], [4, 1], [1, 1]]], [41, [[5, 1], [4, 1], [1, 1]]], [43, [[8, 1], [2, 1]]], [47, [[8, 1], [2, 1]]], [53, [[4, 2], [1, 2]]], [59, [[10, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [2300, 600], 'galois_label': '10T33', 'galt': 33, 'grd': 91.67686126362786, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.102294880256.1', 'local_algs': ['2.1.2.2a1.1', '2.1.8.20b1.12', '29.1.1.0a1.1', '29.1.1.0a1.1', '29.4.1.0a1.1', '29.1.4.3a1.4'], 'maximal_cm_subfield': [1, 0, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 29], 'rd': 12.6178508596, 'regulator': {'__RealLiteral__': 0, 'data': '124.32431863', 'prec': 40}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.0.1'], 'torsion_gen': '\\( -\\frac{1}{14} a^{9} + \\frac{3}{7} a^{8} - \\frac{9}{7} a^{7} + \\frac{19}{7} a^{6} - \\frac{30}{7} a^{5} + \\frac{33}{7} a^{4} - \\frac{32}{7} a^{3} + \\frac{16}{7} a^{2} - \\frac{17}{7} a + \\frac{3}{7} \\)', 'torsion_order': 4, 'units': ['\\( \\frac{5}{14} a^{9} - \\frac{8}{7} a^{8} + \\frac{24}{7} a^{7} - \\frac{39}{7} a^{6} + \\frac{59}{7} a^{5} - \\frac{60}{7} a^{4} + \\frac{55}{7} a^{3} - \\frac{45}{7} a^{2} + \\frac{22}{7} a - \\frac{15}{7} \\)', '\\( \\frac{1}{14} a^{9} - \\frac{3}{7} a^{8} + \\frac{9}{7} a^{7} - \\frac{19}{7} a^{6} + \\frac{30}{7} a^{5} - \\frac{33}{7} a^{4} + \\frac{32}{7} a^{3} - \\frac{9}{7} a^{2} + \\frac{10}{7} a + \\frac{11}{7} \\)', '\\( \\frac{1}{14} a^{9} - \\frac{3}{7} a^{8} + \\frac{9}{7} a^{7} - \\frac{19}{7} a^{6} + \\frac{30}{7} a^{5} - \\frac{40}{7} a^{4} + \\frac{39}{7} a^{3} - \\frac{37}{7} a^{2} + \\frac{17}{7} a - \\frac{17}{7} \\)', '\\( \\frac{2}{7} a^{9} - \\frac{5}{7} a^{8} + \\frac{15}{7} a^{7} - \\frac{20}{7} a^{6} + \\frac{36}{7} a^{5} - \\frac{34}{7} a^{4} + \\frac{37}{7} a^{3} - \\frac{15}{7} a^{2} + \\frac{5}{7} a - \\frac{5}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', '1/2*a^8', '1/14*a^9 + 1/14*a^8 + 2/7*a^7 + 2/7*a^6 + 2/7*a^5 + 2/7*a^4 - 3/7*a^3 - 2/7*a^2 + 3/7*a - 3/7']}
Number field data - 10.0.102294880256.1