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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -1, 2, -1, 1, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 31223, 'disc_rad': 31223, 'disc_sign': -1, 'frobs': [[2, [[5, 1], [1, 1]]], [3, [[3, 2]]], [5, [[6, 1]]], [7, [[4, 1], [2, 1]]], [11, [[3, 1], [2, 1], [1, 1]]], [13, [[5, 1], [1, 1]]], [17, [[6, 1]]], [19, [[3, 1], [2, 1], [1, 1]]], [23, [[6, 1]]], [29, [[4, 1], [1, 2]]], [31, [[3, 2]]], [37, [[3, 1], [2, 1], [1, 1]]], [41, [[3, 1], [2, 1], [1, 1]]], [43, [[4, 1], [2, 1]]], [47, [[5, 1], [1, 1]]], [53, [[5, 1], [1, 1]]], [59, [[3, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [360], 'galois_label': '6T16', 'galt': 16, 'grd': 176.7003112617519, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.31223.1', 'local_algs': ['m31223.2.1.1', 'm31223.1.4.0'], 'monogenic': 1, 'num_ram': 1, 'r2': 3, 'ramps': 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