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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, -7, 0, -1, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 1597696, 'disc_rad': 158, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[3, 2]]], [5, [[3, 2]]], [7, [[3, 2]]], [11, [[4, 1], [2, 1]]], [13, [[3, 2]]], [17, [[2, 2], [1, 2]]], [19, [[2, 2], [1, 2]]], [23, [[2, 2], [1, 2]]], [29, [[2, 2], [1, 2]]], [31, [[2, 2], [1, 2]]], [37, [[4, 1], [2, 1]]], [41, [[4, 1], [2, 1]]], [43, [[2, 2], [1, 2]]], [47, [[3, 2]]], [53, [[2, 2], [1, 2]]], [59, [[3, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [48, 12], 'galois_label': '6T7', 'galt': 7, 'grd': 35.552777669262355, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 3, 'label': '6.2.1597696.3', 'local_algs': ['2.2.1.0a1.1', '2.1.4.8b1.3', '79.1.1.0a1.1', '79.1.1.0a1.1', '79.2.2.2a1.2'], 'minimal_sibling': [3, -2, 5, -2, 1], 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 79], 'rd': 10.8122403515, 'regulator': {'__RealLiteral__': 0, 'data': '9.78757671285', 'prec': 44}, 'res': {'gal': ['289,-2788,9600,-12192,2685,-9544,59000,-123232,107210,33852,-77616,18720,63013,-109696,93764,-51976,19026,-2716,-1436,1080,-347,32,20,-8,1'], 'sex': ['-79,0,1', '3,-2,5,-2,1'], 'sib': ['-79,0,97,0,25,0,1', '272,-480,392,-192,164,-192,56,-32,36,-8,6,0,1', '3,-2,5,-2,1', '4,0,464,0,-1175,0,-616,0,-58,0,8,0,1', '405,-212,-66,172,1,-24,12,0,1']}, 'subfield_mults': [1], 'subfields': ['2.-4.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - a^{3} - 7 a \\)', '\\( \\frac{1}{4} a^{5} - \\frac{1}{4} a^{4} - \\frac{7}{4} a + \\frac{3}{4} \\)', '\\( a^{2} + 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2', '1/4*a^5 - 1/4*a^4 + 1/4*a - 1/4']}
Number field data - 6.2.1597696.3