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lfunc_lfunctions • Show schema
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{'Lhash': '895188475364242541206501645010', 'a10': [22366.84563673661, 0.0], 'a2': [-13.227505326861705, 0.0], 'a3': [-162.5761636966599, 0.0], 'a4': [-337.0331028278452, 0.0], 'a5': [-1690.9345401143196, 0.0], 'a6': [2150.4770713183093, 0.0], 'a7': [10425.980024867264, 0.0], 'a8': [11230.589890337244, 0.0], 'a9': [6748.00900232316, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 148.84535665135937, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [0, 0]]]], 'bad_primes': [17], 'central_character': '289.1', 'coefficient_field': 'CDF', 'conductor': 289, 'conductor_radical': 17, 'degree': 2, 'euler_factors': [[[1.0, 0], [13.227505326861705, 0], [512.0, 0]], [[1.0, 0], [162.5761636966599, 0], [19683.0, 0]], [[1.0, 0], [1690.9345401143196, 0], [1953125.0, 0]], [[1.0, 0], [-10425.980024867264, 0], [40353607.0, 0]], [[1.0, 0], [27907.985891717515, 0], [2357947691.0, 0]], [[1.0, 0], [147571.84052027998, 0], 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'4.15390101913796369041619645403', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 148.84535665135937, 'bad_primes': [17], 'central_character': '1.1', 'conductor': 289, 'conductor_radical': 17, 'degree': 2, 'index': 75, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/289/10/a/d/1/5'], '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': '2-17e2-1.1-c9-0-75', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 1, 'prelabel': '2-17e2-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 12.200219532916584, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.70617919101925379681968462268', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '895188475364242541206501645010', 'Lhash_array': ['895188475364242541206501645010'], 'label': '2-17e2-1.1-c9-0-75', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/289/10/a/d/1/5'}