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'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e8-0', 'trace_hash': 1115269756265516286, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.26381859171003154244324912129', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.27825117737159696435732776271', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '0.34085115419983131679941007933', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 101551287313236.22, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 6144245739270881311250517590016, 'conductor_radical': 42, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -72, 0, 2428, 0, -49464, 0, 663270, 0, -5985144, 0, 35548348, 0, -127552392, 0, 214358881], 'euler13': [1, 0, -64, 0, 2016, 0, -42560, 0, 649250, 0, -7192640, 0, 57578976, 0, -308915776, 0, 815730721], 'euler17': [1, 0, 64, 0, 2368, 0, 61504, 0, 1210498, 0, 17774656, 0, 197777728, 0, 1544804416, 0, 6975757441], 'euler19': [1, 0, -120, 0, 6780, 0, -234120, 0, 5387942, 0, -84517320, 0, 883576380, 0, -5645505720, 0, 16983563041], 'euler2': [1, 0, 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'is_instance_NF': False, 'label': '16-84e16-1.1-c1e8-0-9', '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': '16-84e16-1.1-c1e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.506160381061377, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e8-0', 'trace_hash': 1115269756265516286, 'z1': {'__RealLiteral__': 0, 'data': '0.26381859171003154244324912129', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '334429796132587670086793819312,352725272009316414503017734088,432080170209900943562050263285,617686040064475631001930027547,871151197187272952077076976490,1516747646399497897692035374924,1550829434891670400116759214332,1781328593815105728158822913352', 'Lhash_array': ['334429796132587670086793819312', '352725272009316414503017734088', '432080170209900943562050263285', '617686040064475631001930027547', '871151197187272952077076976490', '1516747646399497897692035374924', '1550829434891670400116759214332', '1781328593815105728158822913352'], 'label': '16-84e16-1.1-c1e8-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7056/2/k/e'}