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{'cm': False, 'coeffs': [-1, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 42, 'dirichlet_group': [], 'disc_abs': 5853261720260687939540400640891858773248095902186156682496904257250187676745728, 'disc_rad': 1330877630666847821780811646224687768437455793488460740831420538882, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[37, 1], [3, 1], [2, 1]]], [5, [[22, 1], [17, 1], [3, 1]]], [7, [[42, 1]]], [11, [[30, 1], [8, 1], [2, 2]]], [13, [[25, 1], [11, 1], [6, 1]]], [17, [[38, 1], [4, 1]]], [19, [[16, 1], [11, 1], [8, 1], [2, 3], [1, 1]]], [23, [[25, 1], [7, 2], [2, 1], [1, 1]]], [29, [[27, 1], [7, 1], [4, 1], [2, 2]]], [31, [[31, 1], [9, 1], [2, 1]]], [37, [[20, 1], [12, 1], [6, 1], [3, 1], [1, 1]]], [41, [[10, 4], [1, 2]]], [43, [[23, 1], [9, 1], [5, 1], [3, 1], [2, 1]]], [47, [[21, 1], [6, 1], [5, 2], [2, 2], [1, 1]]], [53, [[20, 1], [15, 1], [7, 1]]], [59, [[21, 1], [11, 1], [3, 1], [2, 2], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '42T9491', 'galt': 9491, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '42.2.5853261720260687939540400640891858773248095902186156682496904257250187676745728.1', 'local_algs': ['2.2.3.1', '2.4.4.1', '2.6.6.1', '2.6.6.1', '2.12.12.4', '2.12.12.4', '151.1.0.1', '151.2.1.1', '151.7.0.1', '151.8.0.1', 'm151.1.24.0', 'm4132611804876851.2.1.1', 'm4132611804876851.1.3.0', 'm4132611804876851.1.6.0', 'm4132611804876851.1.31.0', 'm111869437509421489132043.1.2.0', 'm111869437509421489132043.2.1.1', 'm111869437509421489132043.1.5.0', 'm111869437509421489132043.1.33.0', 'm9532243245509920520310487.1.1.0', 'm9532243245509920520310487.1.2.0', 'm9532243245509920520310487.1.2.0', 'm9532243245509920520310487.2.1.1', 'm9532243245509920520310487.1.17.0', 'm9532243245509920520310487.1.18.0'], 'monogenic': 1, 'num_ram': 5, 'r2': 20, 'ramps': [2, 151, 4132611804876851, 111869437509421489132043, 9532243245509920520310487], 'rd': 75.060981117, 'res': {'ae': []}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36', 'a^37', 'a^38', 'a^39', 'a^40', 'a^41']}