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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 13, 6, -5, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 616225, 'disc_rad': 785, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[5, 1]]], [5, [0]], [7, [[3, 1], [1, 2]]], [11, [[2, 2], [1, 1]]], [13, [[2, 2], [1, 1]]], [17, [[3, 1], [1, 2]]], [19, [[5, 1]]], [23, [[5, 1]]], [29, [[3, 1], [1, 2]]], [31, [[3, 1], [1, 2]]], [37, [[3, 1], [1, 2]]], [41, [[5, 1]]], [43, [[5, 1]]], [47, [[5, 1]]], [53, [[5, 1]]], [59, [[3, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [40, 30], 'galois_label': '5T4', 'galt': 4, 'grd': 36.6378372470484, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.616225.1', 'local_algs': ['5.2.0.1', '5.3.2.1', '157.1.0.1', '157.4.2.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 2, 'ramps': [5, 157], 'rd': 14.3862586003, 'regulator': {'__RealLiteral__': 0, 'data': '8.56015957299', 'prec': 44}, 'res': {'sib': ['-65,25,10,-36,8,2,4,-9,8,-3,1', '32,-96,152,-68,-210,589,-823,771,-499,210,-47,3,-6,9,-5,1', '5,5,-10,7,-3,-1,1', '684,-1475,1026,445,-1004,385,186,-160,-1,25,1,-5,1', '925,1800,900,700,5295,-75,5459,611,1865,814,-198,239,7,94,95,31,-5,-1,-3,-1,1', '-55,-30,1700,-5369,5971,-19279,99290,-326913,651744,-899965,862562,-591890,321933,-251822,267406,-192764,86959,-42299,43087,-43786,31823,-18321,10763,-7331,4901,-2716,1163,-373,86,-13,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{3}{5} a^{4} - \\frac{7}{5} a^{3} - \\frac{4}{5} a^{2} + 4 a + \\frac{9}{5} \\)', '\\( a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/5*a^4 + 1/5*a^3 + 2/5*a^2 - 2/5']}
Number field data - 5.1.616225.1