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lfunc_lfunctions • Show schema
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{'Lhash': '3404727304614899454549957755119', 'a10': [-0.20878594415244517, 0.31167314817975283], 'a2': [0.9988188324856829, 1.00117977400262], 'a3': [-0.47737431779835005, -0.7144411549655172], 'a4': [-0.004721879743874473, 1.9999944259551536], 'a5': [0.05175075953976187, 0.2601686371817533], 'a6': [0.23847357530454996, -1.1915347918903878], 'a7': [-0.5151950434850098, -1.243790861248907], 'a8': [-2.007070269797195, 1.9929046470155605], 'a9': [0.8655103724802472, -2.089526879616402], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5110425729361947, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.9988188324856829, -1.00117977400262]]]], 'bad_primes': [2], 'central_character': '64.45', 'coefficient_field': 'CDF', 'conductor': 64, 'conductor_radical': 2, 'conjugate': '4328858429580221960597701608767', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.9988188324856829, -1.00117977400262]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5110425729361947, 'bad_primes': [2], 'central_character': '64.45', 'conductor': 64, 'conductor_radical': 2, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/64/2/i/a/45/7'], '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': '2-2e6-64.45-c1-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-2e6-64.45-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7148724172439406, 'root_angle': -0.10824773319987586, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.68585626354920518872783328907', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3404727304614899454549957755119', 'Lhash_array': ['3404727304614899454549957755119'], 'label': '2-2e6-64.45-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/64/2/i/a/45/7'}