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lfunc_lfunctions • Show schema
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{'Lhash': '1006250314898784315811391630901', 'a10': [5.075806568227324, 1.4611278113211337], 'a2': [0, -2.362147616008607], 'a3': [0, -2.0525319318231907], 'a4': [-3.579741359815146, 0], 'a5': [-0.6185590610082388, 2.148810063277954], 'a6': [-4.848383409537691, 0], 'a7': [0, 3.0772791606476186], 'a8': [0, 3.7315822869975426], 'a9': [-1.2128873311538386, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.621973443564292, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0.6185590610082388, -2.148810063277954]]], [241, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [5, 241], 'central_character': '1205.724', 'coefficient_field': 'CDF', 'conductor': 1205, 'conductor_radical': 1205, 'conjugate': '1396046600984244628107036959613', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 2.362147616008607], [-2.0, 0]], [[1.0, 0], [0, 2.0525319318231907], [-3.0, 0]], [[1.0, 0], [0.6185590610082388, -2.148810063277954]], [[1.0, 0], [0, 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.793791534289983177562680923674', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '3.50529323792987346893962860950', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.44968654452477592460822691141', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.621973443564292, 'bad_primes': [5, 241], 'central_character': '5.4', 'conductor': 1205, 'conductor_radical': 1205, 'degree': 2, 'index': 28, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1205/2/b/c/724/5'], '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': '2-1205-5.4-c1-0-28', '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': '2-1205-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1019305994113235, 'root_angle': 0.29460849207589523, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.793791534289983177562680923674', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1006250314898784315811391630901', 'Lhash_array': ['1006250314898784315811391630901'], 'label': '2-1205-5.4-c1-0-28', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1205/2/b/c/724/5'}