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lfunc_lfunctions • Show schema
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{'Lhash': '436785108029023684126456368599', 'a10': [0.0, 0.0], 'a2': [1.118033988749895, -0.36327126400268045], 'a3': [0.4510565162951536, -1.672288258377628], 'a4': [-0.5, 0.36327126400268045], 'a5': [0.0, 0.0], 'a6': [-0.10319775333257945, -2.03353098266474], 'a7': [-3.0776835371752536, 2.23606797749979], 'a8': [-1.8090169943749475, 2.48989828488278], 'a9': [-2.59309603821536, -1.508593032130205], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.587658166755635, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.4510565162951536, 1.672288258377628]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [0.7265425280053609, -3.23606797749979]]]], 'bad_primes': [3, 5, 11], 'central_character': '825.149', 'coefficient_field': 'CDF', 'conductor': 825, 'conductor_radical': 165, 'conjugate': '2559217697709203812273498431592', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.118033988749895, 0.36327126400268045], [1.618033988749895, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.587658166755635, 'bad_primes': [3, 5, 11], 'central_character': '165.149', 'conductor': 825, 'conductor_radical': 165, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/825/2/bs/b/149/2'], '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': '2-825-165.149-c1-0-7', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-825-165.149-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.566643365712431, 'root_angle': -0.2502111675878673, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.34456269570683305502888192806', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '436785108029023684126456368599', 'Lhash_array': ['436785108029023684126456368599'], 'label': '2-825-165.149-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/825/2/bs/b/149/2'}