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{'algebraic': True, 'analytic_conductor': 59.13720773696028, 'bad_primes': [2, 7, 23], 'central_character': '1.1', 'conductor': 7406, 'conductor_radical': 322, 'degree': 2, 'dirichlet_coefficients': [1, 1, -1, 1, -4, -1, -1, 1, -2, -4, 0, -1, 2, -1, 4, 1, 5, -2, -7, -4, 1, 0, 0, -1, 11, 2, 5, -1, 8, 4, -2, 1, 0, 5, 4, -2, 8, -7, -2, -4, -2, 1, -3, 0, 8, 0, 0, -1, 1, 11, -5, 2, -6, 5, 0, -1, 7, 8, -9, 4, 6, -2, 2, 1, -8, 0, 5, 5, 0, 4, -2, -2, 17, 8, -11, -7, 0, -2, 0, -4, 1, -2, -13, 1, -20, -3, -8, 0, 6, 8, -2, 0, 2, 0, 28, -1, -14, 1, 0, 11], 'euler11': [1, 0, 11], 'euler13': [1, -2, 13], 'euler17': [1, -5, 17], 'euler19': [1, 7, 19], 'euler2': [1, -1, 0], 'euler23': [1, 0, 0], 'euler29': [1, -8, 29], 'euler3': [1, 1, 3], 'euler31': [1, 2, 31], 'euler37': [1, -8, 37], 'euler41': [1, 2, 41], 'euler43': [1, 3, 43], 'euler47': [1, 0, 47], 'euler5': [1, 4, 5], 'euler53': [1, 6, 53], 'euler59': [1, 9, 59], 'euler61': [1, -6, 61], 'euler67': [1, -5, 67], 'euler7': [1, 1, 0], 'euler71': [1, 2, 71], 'euler73': [1, -17, 73], 'euler79': [1, 0, 79], 'euler83': [1, 13, 83], 'euler89': [1, -6, 89], 'euler97': [1, 14, 97], 'euler_factors': [[1, -1, 0], [1, 1, 3], [1, 4, 5], [1, 1, 0], [1, 0, 11], [1, -2, 13], [1, -5, 17], [1, 7, 19], [1, 0, 0], [1, -8, 29], [1, 2, 31], [1, -8, 37], [1, 2, 41], [1, 3, 43], [1, 0, 47], [1, 6, 53], [1, 9, 59], [1, -6, 61], [1, -5, 67], [1, 2, 71], [1, -17, 73], [1, 0, 79], [1, 13, 83], [1, -6, 89], [1, 14, 97]], 'id': 21865641, 'index': 131, 'instance_types': ['ECQ', 'CMF', 'CMF'], 'instance_urls': ['EllipticCurve/Q/7406/g', 'ModularForm/GL2/Q/holomorphic/7406/2/a/g/1/1', 'ModularForm/GL2/Q/holomorphic/7406/2/a/g'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': True, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '2-7406-1.1-c1-0-131', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-7406-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 7.690072024172483, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'trace_hash': 1437095553148498332, 'z1': {'__RealLiteral__': 0, 'data': '1.03716910523787943216076071801', 'prec': 103}}