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lfunc_lfunctions • Show schema
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{'Lhash': '366992838907105085790417180473', 'a10': [-192.52998315008657, 113.7198557342885], 'a2': [0, 4.0], 'a3': [0, 27.53010012328433], 'a4': [-16.0, 0], 'a5': [28.429963933572125, 48.13249578752164], 'a6': [-110.12040049313732, 0], 'a7': [0, 119.18413026614243], 'a8': [0, -64.0], 'a9': [-514.9064127980599, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 36.888278556985554, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, -4.0]]], [5, [[1.0, 0], [-28.429963933572125, -48.13249578752164]]], [23, [[1.0, 0], [0, -529.0]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.139', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': '3434965040076309125028937006055', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -4.0]], [[1.0, 0], [0, -27.53010012328433], [-243.0, 0]], [[1.0, 0], [-28.429963933572125, -48.13249578752164]], [[1.0, 0], [0, -119.18413026614243], [-16807.0, 0]], 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'prec': 60}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.28950630310988787880676609468', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.37226131385584400785577579578', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.06616604736391435101426095530', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 36.888278556985554, 'bad_primes': [2, 5, 23], 'central_character': '5.4', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/6/b/a/139/26'], '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': '2-230-5.4-c5-0-6', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-230-5.4-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.073572141416084, 'root_angle': 0.1650870315250745, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.28950630310988787880676609468', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '366992838907105085790417180473', 'Lhash_array': ['366992838907105085790417180473'], 'label': '2-230-5.4-c5-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/6/b/a/139/26'}