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lfunc_lfunctions • Show schema
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{'Lhash': '1272115849951104104677867842473', 'a10': [13796.079764200678, -5714.523345912932], 'a2': [-12.29391409125838, 12.29391409125838], 'a3': [41.531561420088835, -100.26605884690966], 'a4': [0.0, 209.7193526335173], 'a5': [-793.5065661466871, -328.6811815300612], 'a6': [722.0768655585715, 1743.2477619073575], 'a7': [7184.85053132587, -2976.062533698713], 'a8': [-8872.755719275074, -8872.755719275074], 'a9': [5589.570811393475, 5589.570811393475], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.755609214785846, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[17, [[1.0, 0], [-268633.96148558124, -215461.530750998]]]], 'bad_primes': [17], 'central_character': '17.8', 'coefficient_field': 'CDF', 'conductor': 17, 'conductor_radical': 17, 'conjugate': '1925691066533556210445809787281', 'degree': 2, 'euler_factors': [[[1.0, 0], [12.29391409125838, -12.29391409125838], [0, -512.0]], [[1.0, 0], [-41.531561420088835, 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'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.36712421560352819648331192614', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.52872213036317067273615879949', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 8.755609214785846, 'bad_primes': [17], 'central_character': '17.8', 'conductor': 17, 'conductor_radical': 17, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/17/10/d/a/8/5'], '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': '2-17-17.8-c9-0-4', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-17-17.8-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9589878699964025, 'root_angle': -0.15450083571100548, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '1.00352246093842481045596667338', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1272115849951104104677867842473', 'Lhash_array': ['1272115849951104104677867842473'], 'label': '2-17-17.8-c9-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/17/10/d/a/8/5'}