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{'class_group': [4], 'class_number': 4, 'cm': False, 'coeffs': [20, 1, 3, -1, 1], 'conductor': 0, 'degree': 4, 'dirichlet_group': [], 'disc_abs': 29241, 'disc_rad': 57, 'disc_sign': 1, 'frobs': [[2, [[3, 1], [1, 1]]], [3, [0]], [5, [[3, 1], [1, 1]]], [7, [[3, 1], [1, 1]]], [11, [[3, 1], [1, 1]]], [13, [[3, 1], [1, 1]]], [17, [[2, 2]]], [19, [0]], [23, [[3, 1], [1, 1]]], [29, [[3, 1], [1, 1]]], [31, [[3, 1], [1, 1]]], [37, [[2, 2]]], [41, [[3, 1], [1, 1]]], [43, [[3, 1], [1, 1]]], [47, [[3, 1], [1, 1]]], [53, [[2, 2]]], [59, [[3, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 6], 'galois_label': '4T4', 'galt': 4, 'grd': 18.859860385004858, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '4.0.29241.1', 'local_algs': ['3.1.0.1', '3.3.4.2', '19.2.1.1', '19.2.1.1'], 'monogenic': -1, 'num_ram': 2, 'r2': 2, 'ramps': [3, 19], 'rd': 13.0766968306, 'regulator': {'__RealLiteral__': 0, 'data': '3.40952909212', 'prec': 44}, 'res': {'gal': ['327,-297,-129,20,72,-27,14,39,21,-11,-6,0,1'], 'sib': ['-9,-18,-18,-10,-3,0,1', '327,-297,-129,20,72,-27,14,39,21,-11,-6,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{4} a^{3} - \\frac{1}{4} a - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2 - 1/2*a', '1/4*a^3 - 1/4*a']}