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{'cm': False, 'coeffs': [-5, -3, 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': 41, 'dirichlet_group': [], 'disc_abs': 12104261537244665949753671329667749011270520490725722165292630538833691389299929141998291015625, 'disc_rad': 6654388152921155354193510094957544518315932277320300544757011767565, 'disc_sign': 1, 'frobs': [[2, [[32, 1], [7, 1], [2, 1]]], [3, [[8, 5], [1, 1]]], [5, [0]], [7, [[17, 1], [11, 2], [1, 2]]], [11, [[38, 1], [2, 1], [1, 1]]], [13, [[13, 1], [12, 1], [11, 1], [3, 1], [2, 1]]], [17, [[19, 1], [12, 1], [6, 1], [3, 1], [1, 1]]], [19, [[19, 1], [15, 1], [6, 1], [1, 1]]], [23, [[20, 1], [10, 1], [6, 1], [4, 1], [1, 1]]], [29, [[32, 1], [3, 2], [2, 1], [1, 1]]], [31, [[24, 1], [14, 1], [2, 1], [1, 1]]], [37, [[28, 1], [5, 1], [4, 1], [3, 1], [1, 1]]], [41, [[8, 5], [1, 1]]], [43, [[41, 1]]], [47, [[35, 1], [3, 2]]], [53, [[32, 1], [3, 2], [2, 1], [1, 1]]], [59, [[22, 1], [12, 1], [3, 1], [1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '41T10', 'galt': 10, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '41.1.12104261537244665949753671329667749011270520490725722165292630538833691389299929141998291015625.1', 'local_algs': ['5.1.0.1', 'm5.5.8.40', 'm1330877630584231070838702018991508903663186455464060108951402353513.1.1.0', 'm1330877630584231070838702018991508903663186455464060108951402353513.1.1.0', 'm1330877630584231070838702018991508903663186455464060108951402353513.1.1.0', 'm1330877630584231070838702018991508903663186455464060108951402353513.1.2.0', 'm1330877630584231070838702018991508903663186455464060108951402353513.2.1.1', 'm1330877630584231070838702018991508903663186455464060108951402353513.1.17.0', 'm1330877630584231070838702018991508903663186455464060108951402353513.1.17.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 20, 'ramps': [5, 1330877630584231070838702018991508903663186455464060108951402353513], 'rd': 197.108708415, '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']}