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lfunc_lfunctions • Show schema
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{'Lhash': '3201662142582555005194673071589', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.3553365525107923, -0.2695932022561059], 'a4': [0.0, 0.0], 'a5': [4.439415706547599, -6.644055129286821], 'a6': [0.0, 0.0], 'a7': [-5.050244846371974, -7.558225539951983], 'a8': [0.0, 0.0], 'a9': [-6.550659116732443, 2.713371848633537], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.7057315953000383, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [-16.62824291178179, 3.5357513581668454]]]], 'bad_primes': [2, 17], 'central_character': '136.57', 'coefficient_field': 'CDF', 'conductor': 136, 'conductor_radical': 34, 'conjugate': '1528158417570090957647257042639', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.3553365525107923, 0.2695932022561059], [8.31491579260158, -3.444150891285808]], [[1.0, 0], [-4.439415706547599, 6.644055129286821], [-9.567085809127244, -23.09698831278217]], 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'5.95736491411320657904816528221', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.7057315953000383, 'bad_primes': [2, 17], 'central_character': '17.6', 'conductor': 136, 'conductor_radical': 34, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/136/3/t/a/57/3'], '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': '2-136-17.6-c2-0-7', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-136-17.6-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9250276868918115, 'root_angle': 0.1837952598557146, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.52566609600951850906070310413', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3201662142582555005194673071589', 'Lhash_array': ['3201662142582555005194673071589'], 'label': '2-136-17.6-c2-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/136/3/t/a/57/3'}