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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3455363544.9736395, 'bad_primes': [2, 3, 5, 13], 'central_character': '1.1', 'conductor': 209062861737539062500000000, 'conductor_radical': 390, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 2, 0, 0, 0, 0, 2, 0, -12, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 48, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, -20, 0, 0, -2, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -48, 0, 1, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0], 'euler11': [1, 12, 46, 168, 1561, 7056, 15694, 77124, 392452, 848364, 1898974, 9391536, 22854601, 27056568, 81491806, 233846052, 214358881], 'euler13': [1, 0, -14, 0, 27, 0, -2366, 0, 28561, 0, 0, 0, 0, 0, 0, 0, 0], 'euler17': [1, 0, 16, 0, 254, 0, -9216, 0, -157501, 0, -2663424, 0, 21214334, 0, 386201104, 0, 6975757441], 'euler19': [1, 0, -56, 0, 1630, 0, -43904, 0, 1005619, 0, -15849344, 0, 212423230, 0, -2634569336, 0, 16983563041], 'euler2': 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-11346181374, 0, 337208031329, 0, 54976152325314, 0, 7837433594376961]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1950/2/z/o'], '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': '16-1950e8-1.1-c1e8-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '16-1950e8-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.9459888993951417, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 282135744869398723, 'z1': {'__RealLiteral__': 0, 'data': '0.04144562858573414914770073029', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '52538575953542156614349077943,346613816638733888875705572423,1109302219135811340877038269628,1141058247497075999424098071259,1283731396142055912536793098088,1341974914700132765127288165069,1881062405307426829689916895036,2864872502369422039308107395147', 'Lhash_array': ['52538575953542156614349077943', '346613816638733888875705572423', '1109302219135811340877038269628', '1141058247497075999424098071259', '1283731396142055912536793098088', '1341974914700132765127288165069', '1881062405307426829689916895036', '2864872502369422039308107395147'], 'label': '16-1950e8-1.1-c1e8-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1950/2/z/o'}