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lfunc_lfunctions • Show schema
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{'Lhash': '1146651950364177364921364878296', 'a10': [-45.65601617864346, -6.6978663807138155], 'a2': [-0.8210879013936301, 5.596946905071103], 'a3': [0.0, 0.0], 'a4': [-30.65162931637001, -9.191170776992811], 'a5': [0.0, 8.157307359352814], 'a6': [0.0, 0.0], 'a7': [0.0, -63.00259539820998], 'a8': [76.6101768239436, -164.00878271301235], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.32145253980191, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.8210879013936301, -5.596946905071103]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '108.107', 'coefficient_field': 'CDF', 'conductor': 108, 'conductor_radical': 6, 'conjugate': '1337375379169630987214905778458', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8210879013936301, -5.596946905071103]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -8.157307359352814], [-3125.0, 0]], [[1.0, 0], [0, 63.00259539820998], [-16807.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 17.32145253980191, 'bad_primes': [2, 3], 'central_character': '12.11', 'conductor': 108, 'conductor_radical': 6, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/108/6/b/c/107/10'], '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': '2-108-12.11-c5-0-15', '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': '2-108-12.11-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.161904917198603, 'root_angle': -0.2036337807952399, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.904548895537723653401249760891', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1146651950364177364921364878296', 'Lhash_array': ['1146651950364177364921364878296'], 'label': '2-108-12.11-c5-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/108/6/b/c/107/10'}