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lfunc_lfunctions • Show schema
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{'Lhash': '749781057916549291756457961970', 'a10': [-22782.918981183804, 0.0], 'a2': [-36.452670369894086, 0.0], 'a3': [-81.0, 0.0], 'a4': [816.7971770961541, 0.0], 'a5': [625.0, 0.0], 'a6': [2952.666299961421, 0.0], 'a7': [-11814.34801031609, 0.0], 'a8': [-11110.671026360336, 0.0], 'a9': [6561.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 146.7852133067039, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [81.0, 0]]], [5, [[1.0, 0], [-625.0, 0]]], [19, [[1.0, 0], [130321.0, 0]]]], 'bad_primes': [3, 5, 19], 'central_character': '285.1', 'coefficient_field': 'CDF', 'conductor': 285, 'conductor_radical': 285, 'degree': 2, 'euler_factors': [[[1.0, 0], [36.452670369894086, 0], [512.0, 0]], [[1.0, 0], [81.0, 0]], [[1.0, 0], [-625.0, 0]], [[1.0, 0], [11814.34801031609, 0], [40353607.0, 0]], [[1.0, 0], [-95589.86914876007, 0], [2357947691.0, 0]], [[1.0, 0], [16869.745495380634, 0], [10604499373.0, 0]], [[1.0, 0], 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{'__RealLiteral__': 0, 'data': '2.72862144776252394340991070700', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 146.7852133067039, 'bad_primes': [3, 5, 19], 'central_character': '1.1', 'conductor': 285, 'conductor_radical': 285, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/285/10/a/h/1/2'], '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': '2-285-1.1-c9-0-24', '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': '2-285-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 12.11549476111908, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.59147296406561695404576084507', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '749781057916549291756457961970', 'Lhash_array': ['749781057916549291756457961970'], 'label': '2-285-1.1-c9-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/285/10/a/h/1/2'}