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lfunc_lfunctions • Show schema
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{'Lhash': '1072869790440627965198025871331', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 272.2111106770494], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, -10002.56663671641], 'a8': [0, 0], 'a9': [-54415.88877603285, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 51.503583616387324, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '100.49', 'coefficient_field': 'CDF', 'conductor': 100, 'conductor_radical': 10, 'conjugate': '1001996387557662269648438227619', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -272.2111106770494], [-19683.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 10002.56663671641], [-40353607.0, 0]], [[1.0, 0], [-47093.66667968852, 0], [2357947691.0, 0]], [[1.0, 0], [0, 9362.933578144126], [-10604499373.0, 0]], [[1.0, 0], [0, -108520.5334843868], [-118587876497.0, 0]], [[1.0, 0], [-665173.331093575, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 51.503583616387324, 'bad_primes': [2, 5], 'central_character': '5.4', 'conductor': 100, 'conductor_radical': 10, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/100/10/c/c/49/4'], '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': '2-10e2-5.4-c9-0-7', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-10e2-5.4-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.17659972524505, 'root_angle': -0.17620819117478337, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.846345034071271014751409264546842', 'prec': 117}}
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lfunc_instances • Show schema
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{'Lhash': '1072869790440627965198025871331', 'Lhash_array': ['1072869790440627965198025871331'], 'label': '2-10e2-5.4-c9-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/100/10/c/c/49/4'}