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lfunc_lfunctions • Show schema
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{'Lhash': '1361570802477589388894946907776', 'a10': [-17.34130773544662, 0.0], 'a2': [5.070163719124402, 0.0], 'a3': [-5.265438625677969, 0.0], 'a4': [17.706560138725386, 0.0], 'a5': [-3.4202658328440325, 0.0], 'a6': [-26.696635885188687, 0.0], 'a7': [25.180168396587884, 0.0], 'a8': [49.21384905286457, 0.0], 'a9': [0.7248439207814942, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 109.09453160061445, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[43, [[1.0, 0], [0, 0]]]], 'bad_primes': [43], 'central_character': '1849.1', 'coefficient_field': 'CDF', 'conductor': 1849, 'conductor_radical': 43, 'degree': 2, 'euler_factors': [[[1.0, 0], [-5.070163719124402, 0], [8.0, 0]], [[1.0, 0], [5.265438625677969, 0], [27.0, 0]], [[1.0, 0], [3.4202658328440325, 0], [125.0, 0]], [[1.0, 0], [-25.180168396587884, 0], [343.0, 0]], [[1.0, 0], [-69.6829545333365, 0], [1331.0, 0]], [[1.0, 0], [-26.49917097825367, 0], [2197.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 109.09453160061445, 'bad_primes': [43], 'central_character': '1.1', 'conductor': 1849, 'conductor_radical': 43, 'degree': 2, 'index': 263, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1849/4/a/h/1/29'], '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': '2-43e2-1.1-c3-0-263', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-43e2-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.44483277035178, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.07408997576497062879353286352', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1361570802477589388894946907776', 'Lhash_array': ['1361570802477589388894946907776'], 'label': '2-43e2-1.1-c3-0-263', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1849/4/a/h/1/29'}