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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [2, -4, 0, 0, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 4864, 'disc_rad': 38, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[4, 1]]], [5, [[3, 1], [1, 1]]], [7, [[3, 1], [1, 1]]], [11, [[3, 1], [1, 1]]], [13, [[2, 1], [1, 2]]], [17, [[3, 1], [1, 1]]], [19, [0]], [23, [[2, 2]]], [29, [[4, 1]]], [31, [[4, 1]]], [37, [[4, 1]]], [41, [[4, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[4, 1]]], [59, [[2, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [52, 12], 'galois_label': '4T5', 'galt': 5, 'grd': 19.570794546160904, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.2.4864.1', 'local_algs': ['2.4.8.8', '19.1.0.1', '19.1.0.1', '19.2.1.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [2, 19], 'rd': 8.35119051972, 'regulator': {'__RealLiteral__': 0, 'data': '3.76605312243', 'prec': 44}, 'res': {'gal': ['64,-384,1536,-3968,7456,-10112,11264,-9344,7648,-4768,1792,-672,648,-256,256,-544,664,-648,544,-360,194,-88,32,-8,1'], 'sib': ['-1,0,3,0,-1,0,1', '1,0,3,0,4,0,3,0,4,0,3,0,1', '19,0,16,-16,4,-8,4,0,1', '19,0,25,0,9,0,1', '2,0,0,4,4,-4,-8,-4,-6,-12,4,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{3} + a^{2} + a - 3 \\)', '\\( a^{3} + a^{2} + a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3']}