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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [25, 0, -60, 0, 48, 0, -12, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 419430400, 'disc_rad': 10, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 2]]], [5, [0]], [7, [[4, 2]]], [11, [[2, 4]]], [13, [[4, 2]]], [17, [[2, 2], [1, 4]]], [19, [[2, 4]]], [23, [[4, 2]]], [29, [[4, 2]]], [31, [[2, 4]]], [37, [[4, 2]]], [41, [[1, 8]]], [43, [[4, 2]]], [47, [[4, 2]]], [53, [[4, 2]]], [59, [[2, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 8], 'galois_label': '8T11', 'galt': 11, 'grd': 17.88854381999832, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '8.0.419430400.2', 'local_algs': ['2.8.24.32', '5.4.2.2', '5.4.0.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 4, 'ramps': [2, 5], 'rd': 11.9627902498, 'regulator': {'__RealLiteral__': 0, 'data': '49.4656419524', 'prec': 44}, 'res': {'gal': ['1,0,4,0,8,0,-16,0,23,0,16,0,8,0,-4,0,1'], 'sib': ['4,0,0,0,-6,0,0,0,1', '4,0,0,0,6,0,0,0,1', '1,0,4,0,8,0,-16,0,23,0,16,0,8,0,-4,0,1']}, 'subfield_mults': [1, 1, 1, 1], 'subfields': ['1.0.1', '2.0.1', '-2.0.1', '1.0.0.0.1'], 'torsion_gen': '\\( -\\frac{7}{55} a^{6} + \\frac{79}{55} a^{4} - \\frac{256}{55} a^{2} + \\frac{27}{11} \\)', 'torsion_order': 8, 'units': ['\\( \\frac{14}{55} a^{6} - \\frac{158}{55} a^{4} + \\frac{567}{55} a^{2} - \\frac{98}{11} \\)', '\\( \\frac{7}{55} a^{7} + \\frac{1}{5} a^{6} - \\frac{79}{55} a^{5} - \\frac{12}{5} a^{4} + \\frac{256}{55} a^{3} + \\frac{43}{5} a^{2} - \\frac{16}{11} a - 5 \\)', '\\( \\frac{7}{55} a^{7} + \\frac{13}{55} a^{6} - \\frac{79}{55} a^{5} - \\frac{131}{55} a^{4} + \\frac{256}{55} a^{3} + \\frac{389}{55} a^{2} - \\frac{16}{11} a - \\frac{36}{11} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', '1/55*a^6 - 27/55*a^4 + 13/55*a^2 + 4/11', '1/55*a^7 - 27/55*a^5 + 13/55*a^3 + 4/11*a']}
Number field data - 8.0.419430400.2