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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, -2, 3, 0, -3, 3, 0, -1, 1], 'conductor': 0, 'degree': 9, 'dirichlet_group': [], 'disc_abs': 35678113, 'disc_rad': 35678113, 'disc_sign': 1, 'frobs': [[2, [[9, 1]]], [3, [[9, 1]]], [5, [[7, 1], [2, 1]]], [7, [[4, 1], [3, 1], [2, 1]]], [11, [[4, 2], [1, 1]]], [13, [[9, 1]]], [17, [[9, 1]]], [19, [[6, 1], [3, 1]]], [23, [[6, 1], [3, 1]]], [29, [[6, 1], [2, 1], [1, 1]]], [31, [[8, 1], [1, 1]]], [37, [[4, 1], [2, 1], [1, 3]]], [41, [[6, 1], [2, 1], [1, 1]]], [43, [[4, 2], [1, 1]]], [47, [[6, 1], [2, 1], [1, 1]]], [53, [[4, 1], [3, 1], [1, 2]]], [59, [[7, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [181440, 181440], 'galois_label': '9T34', 'galt': 34, 'grd': 5973.115853555831, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '9.1.35678113.1', 'local_algs': ['199.2.1.2', '199.3.0.1', '199.4.0.1', 'm179287.1.1.0', 'm179287.1.1.0', 'm179287.1.2.0', 'm179287.2.1.1', 'm179287.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 4, 'ramps': [199, 179287], 'rd': 6.904874096724272, 'regulator': {'__RealLiteral__': 0, 'data': '0.7740357851599975', 'prec': 60}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( -a \\)', '\\( a^{8} - a^{7} + 2 a^{5} - 2 a^{4} + a^{2} - 1 \\)', '\\( -a^{8} + a^{6} - 3 a^{5} + 2 a^{3} - 3 a^{2} - a + 2 \\)', '\\( a^{7} - a^{6} + 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']}
Number field data - 9.1.35678113.1