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lfunc_lfunctions • Show schema
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{'Lhash': '163311219418442679742960524213', 'a10': [-9213691635090198.0, 89355774226332260], 'a2': [-83255.72571596704, 83255.72571596704], 'a3': [-26505519.918289978, -26505519.918289978], 'a4': [0, 3316837455.0153294], 'a5': [591968089964.7632, -481300726779.1563], 'a6': [4413472592552.503, 0], 'a7': [-123464862342607.55, 123464862342607.55], 'a8': [-1706468186018501.0, -1706468186018501.0], 'a9': [0, -15272096527388836], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 36.612827021342156, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '17.0', 'prec': 14}, 'bad_lfactors': [[5, [[1.0, 0], [-591968089964.7632, 481300726779.1563]]]], 'bad_primes': [5], 'central_character': '5.3', 'coefficient_field': 'CDF', 'conductor': 5, 'conductor_radical': 5, 'conjugate': '1792440438888665748548540700336', 'degree': 2, 'euler_factors': [[[1.0, 0], [83255.72571596704, -83255.72571596704], [0, -17179869184.0]], [[1.0, 0], [26505519.918289978, 26505519.918289978], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 36.612827021342156, 'bad_primes': [5], 'central_character': '5.3', 'conductor': 5, 'conductor_radical': 5, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/5/35/c/a/3/6'], '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': '2-5-5.3-c34-0-0', 'motivic_weight': 34, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [34], 'order_of_vanishing': 0, 'prelabel': '2-5-5.3-c34-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.050853412647026, 'root_angle': 0.47945715683072876, 'self_dual': False, 'spectral_label': 'c34-0', 'z1': {'__RealLiteral__': 0, 'data': '0.12882983638317997348031796751', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '163311219418442679742960524213', 'Lhash_array': ['163311219418442679742960524213'], 'label': '2-5-5.3-c34-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/5/35/c/a/3/6'}