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{'class_group': [3, 3, 3, 6, 126], 'class_number': 20412, 'cm': False, 'coeffs': [-2355430, 0, 0, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 3057089042700, 'disc_rad': 1009470, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [0]], [11, [0]], [13, [[1, 3]]], [17, [[2, 1], [1, 1]]], [19, [0]], [23, [0]], [29, [[2, 1], [1, 1]]], [31, [[3, 1]]], [37, [[1, 3]]], [41, [[2, 1], [1, 1]]], [43, [[3, 1]]], [47, [[2, 1], [1, 1]]], [53, [[2, 1], [1, 1]]], [59, [[2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [4, 7, 4, 4, 4, 4, 4], 'galois_label': '3T2', 'galt': 2, 'grd': 17429.68634812931, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 8, 'label': '3.1.3057089042700.8', 'local_algs': ['2.3.2.1', '3.3.3.2', '5.3.2.1', '7.3.2.2', '11.3.2.1', '19.3.2.3', '23.3.2.1'], 'monogenic': -1, 'num_ram': 7, 'r2': 1, 'ramps': [2, 3, 5, 7, 11, 19, 23], 'rd': 14513.4066139, 'regulator': {'__RealLiteral__': 0, 'data': '16.7693751342', 'prec': 44}, 'res': {'gal': ['5548055195761,-7066293,-7066284,4710853,6,-3,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{7} a^{2} - 19 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/7*a^2']}