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lfunc_lfunctions • Show schema
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{'Lhash': '1576568817245908296883980441134', 'a10': [0.0, 0.0], 'a2': [2.743586615570344, 0.0], 'a3': [0.08771949895584168, 0.0], 'a4': [5.5272675171367345, 0.0], 'a5': [0.0, 0.0], 'a6': [0.240666043259784, 0.0], 'a7': [1.3886340680676101, 0.0], 'a8': [9.677363949552383, 0.0], 'a9': [-2.9923052895029363, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.10986721782145, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [241, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [5, 241], 'central_character': '6025.1', 'coefficient_field': 'CDF', 'conductor': 6025, 'conductor_radical': 1205, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.743586615570344, 0], [2.0, 0]], [[1.0, 0], [-0.08771949895584168, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.3886340680676101, 0], [7.0, 0]], [[1.0, 0], [1.6868649787192884, 0], [11.0, 0]], [[1.0, 0], [-1.3451066591302616, 0], [13.0, 0]], [[1.0, 0], [-3.066875088835142, 0], 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['1.24369350431582714728225722954831', '2.25986582712691220687309921414713', '3.27360207020829919769945207249403', '3.37816592005364724335776840676961', '4.66226782369405731330378580821070', '5.15885819214785430906461699288813', '5.71265919718386329043466807968323', '6.28855346144780669301535298623205', '7.29836865089081023396866278285159', '7.73210815584656109537918992892742'], 'prelabel': '2-6025-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.936127681770388, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.24369350431582714728225722955', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.25986582712691220687309921415', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.27360207020829919769945207249', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.10986721782145, 'bad_primes': [5, 241], 'central_character': '1.1', 'conductor': 6025, 'conductor_radical': 1205, 'degree': 2, 'index': 265, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6025/2/a/o/1/39'], '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': '2-6025-1.1-c1-0-265', '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': '2-6025-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.936127681770388, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.24369350431582714728225722955', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1576568817245908296883980441134', 'Lhash_array': ['1576568817245908296883980441134'], 'label': '2-6025-1.1-c1-0-265', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6025/2/a/o/1/39'}