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lfunc_lfunctions • Show schema
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{'Lhash': '76304316045808082986561315167', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.766044443118978, -0.6427876096865394], 'a4': [0.0, 0.0], 'a5': [-0.766044443118978, 1.3268278963378768], 'a6': [0.0, 0.0], 'a7': [0.17364817766693036, 0.3007674663608706], 'a8': [0.0, 0.0], 'a9': [0.17364817766693036, 0.984807753012208], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.868499407297961, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.766044443118978, 0.6427876096865394]]], [13, [[1.0, 0], [0.5, -0.8660254037844386]]]], 'bad_primes': [2, 3, 13], 'central_character': '3744.1039', 'coefficient_field': 'CDF', 'conductor': 3744, 'conductor_radical': 78, 'conjugate': '2442709320829149978530674715990', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.766044443118978, 0.6427876096865394]], [[1.0, 0], [0.766044443118978, -1.3268278963378768], [-0.5, -0.8660254037844386]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.868499407297961, 'bad_primes': [2, 3, 13], 'central_character': '936.571', 'conductor': 3744, 'conductor_radical': 78, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3744/1/ci/a/1039/1'], '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': '2-3744-936.571-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3744-936.571-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3669306519710358, 'root_angle': 0.4444444444444444, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.06019349182816634045108503560', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '76304316045808082986561315167', 'Lhash_array': ['76304316045808082986561315167'], 'label': '2-3744-936.571-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3744/1/ci/a/1039/1'}