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lfunc_lfunctions • Show schema
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{'Lhash': '1198866586512150823362299691588', 'a10': [39278.80316546435, 0.0], 'a2': [-16.0, 0.0], 'a3': [-81.0, 0.0], 'a4': [256.0, 0.0], 'a5': [-2454.925197841522, 0.0], 'a6': [1296.0, 0.0], 'a7': [-11429.487931239993, 0.0], 'a8': [-4096.0, 0.0], 'a9': [6561.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 52.533655288715075, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [16.0, 0]]], [3, [[1.0, 0], [81.0, 0]]], [17, [[1.0, 0], [83521.0, 0]]]], 'bad_primes': [2, 3, 17], 'central_character': '102.1', 'coefficient_field': 'CDF', 'conductor': 102, 'conductor_radical': 102, 'degree': 2, 'euler_factors': [[[1.0, 0], [16.0, 0]], [[1.0, 0], [81.0, 0]], [[1.0, 0], [2454.925197841522, 0], [1953125.0, 0]], [[1.0, 0], [11429.487931239993, 0], [40353607.0, 0]], [[1.0, 0], [-62287.77055020163, 0], [2357947691.0, 0]], [[1.0, 0], [-165080.895919522, 0], [10604499373.0, 0]], [[1.0, 0], [83521.0, 0]], [[1.0, 0], 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'4.09404730306663039499949481892', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 52.533655288715075, 'bad_primes': [2, 3, 17], 'central_character': '1.1', 'conductor': 102, 'conductor_radical': 102, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/102/10/a/h/1/1'], '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': '2-102-1.1-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': 1, 'prelabel': '2-102-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.248010436576031, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.945738980675199760746925605121', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1198866586512150823362299691588', 'Lhash_array': ['1198866586512150823362299691588'], 'factors': ['2-102-1.1-c9-0-7'], 'label': '2-102-1.1-c9-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/102/10/a/h/1/1'}