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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-3, -3, 18, -18, 6, -12, 6, -3, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 2832228423, 'disc_rad': 327, 'disc_sign': -1, 'frobs': [[2, [[3, 2], [1, 2]]], [3, [0]], [5, [[8, 1]]], [7, [[6, 1], [2, 1]]], [11, [[4, 2]]], [13, [[8, 1]]], [17, [[6, 1], [2, 1]]], [19, [[8, 1]]], [23, [[3, 2], [1, 2]]], [29, [[2, 3], [1, 2]]], [31, [[6, 1], [2, 1]]], [37, [[8, 1]]], [41, [[3, 2], [1, 2]]], [43, [[6, 1], [2, 1]]], [47, [[6, 1], [2, 1]]], [53, [[4, 2]]], [59, [[6, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [42, 24], 'galois_label': '8T23', 'galt': 23, 'grd': 27.301992740901024, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '8.2.2832228423.2', 'local_algs': ['3.8.7.2', '109.1.0.1', '109.1.0.1', '109.2.1.1', '109.2.1.1', '109.2.1.1'], 'minimal_sibling': [-8, -13, 10, 2, 10, -16, 10, -4, 1], 'monogenic': 0, 'num_ram': 2, 'r2': 3, 'ramps': [3, 109], 'rd': 15.1885401868, 'regulator': {'__RealLiteral__': 0, 'data': '143.077001818', 'prec': 44}, 'res': {'ae': ['-8,-13,10,2,10,-16,10,-4,1'], 'sib': ['64,-408,644,492,-1181,-819,4715,-6324,4948,-2661,1220,-525,223,-81,26,-6,1', '9,-45,99,-45,-456,1080,204,-2931,1465,3709,-2929,-3000,2552,1364,-1829,-591,913,237,-320,-80,80,15,-13,-1,1']}, 'subfield_mults': [1], 'subfields': ['-2.-1.0.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{43}{1297} a^{7} - \\frac{286}{1297} a^{6} + \\frac{518}{1297} a^{5} - \\frac{869}{1297} a^{4} + \\frac{1048}{1297} a^{3} - \\frac{76}{1297} a^{2} + \\frac{3555}{1297} a + \\frac{766}{1297} \\)', '\\( \\frac{278}{1297} a^{7} - \\frac{733}{1297} a^{6} + \\frac{1509}{1297} a^{5} - \\frac{3175}{1297} a^{4} + \\frac{1135}{1297} a^{3} - \\frac{5800}{1297} a^{2} + \\frac{3438}{1297} a - \\frac{1955}{1297} \\)', '\\( \\frac{56}{1297} a^{7} - \\frac{101}{1297} a^{6} + \\frac{192}{1297} a^{5} - \\frac{257}{1297} a^{4} + \\frac{98}{1297} a^{3} - \\frac{1215}{1297} a^{2} + \\frac{226}{1297} a + \\frac{334}{1297} \\)', '\\( \\frac{321}{1297} a^{7} - \\frac{1019}{1297} a^{6} + \\frac{2027}{1297} a^{5} - \\frac{4044}{1297} a^{4} + \\frac{2183}{1297} a^{3} - \\frac{4579}{1297} a^{2} + \\frac{5696}{1297} a + \\frac{2702}{1297} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/2594*a^7 + 57/1297*a^6 + 187/1297*a^5 - 176/1297*a^4 + 163/1297*a^3 - 393/1297*a^2 - 577/1297*a - 133/2594']}
Number field data - 8.2.2832228423.2