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True, 'root_analytic_conductor': 2.5666433657124306, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e6-0', 'trace_hash': 2103302931631219503, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.56744977828891505152320765071', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.789668403743869964662877748110', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '0.870957704152696615837526597776', 'prec': 107}}
-
lfunc_search • Show schema
Hide schema
{'algebraic': True, 'analytic_conductor': 81730.90980441129, 'bad_primes': [3, 5, 11], 'central_character': '1.1', 'conductor': 315299797119140625, 'conductor_radical': 165, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, -2, 0, 0, 0, 0, -3, 0, 6, 0, 0, 0, 0, -1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 34, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 0, -12, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, -4, 0, 0, -12, 0, 6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0], 'euler11': [1, -6, 15, -20, 15, -6, 1, 0, 0, 0, 0, 0, 0], 'euler13': [1, 0, -53, 0, 1315, 0, -20606, 0, 222235, 0, -1513733, 0, 4826809], 'euler17': [1, 0, -36, 0, 296, 0, 1402, 0, 85544, 0, -3006756, 0, 24137569], 'euler19': [1, -2, 77, -202, 3014, -6954, 73281, -132126, 1088054, -1385518, 10034717, -4952198, 47045881], 'euler2': [1, 0, 2, 0, 5, 0, 12, 0, 20, 0, 32, 0, 64], 'euler23': [1, 0, -52, 0, 1872, 0, -52066, 0, 990288, 0, -14551732, 0, 148035889], 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'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/825/2/c/f'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, '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': '12-825e6-1.1-c1e6-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-825e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.5666433657124306, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 2103302931631219503, 'z1': {'__RealLiteral__': 0, 'data': '0.56744977828891505152320765071', 'prec': 103}}
-
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