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lfunc_lfunctions • Show schema
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{'Lhash': '2665108257354329698626371347332', 'a10': [-87657.38149158286, 0.0], 'a2': [33.500789964252206, 0.0], 'a3': [86.6312497560265, 0.0], 'a4': [610.3029282289414, 0.0], 'a5': [-2616.576551929662, 0.0], 'a6': [2902.215302417319, 0.0], 'a7': [8620.812482338863, 0.0], 'a8': [3293.225751468725, 0.0], 'a9': [-12178.026565708959, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 56.138906141862186, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[109, [[1.0, 0], [141158161.0, 0]]]], 'bad_primes': [109], 'central_character': '109.1', 'coefficient_field': 'CDF', 'conductor': 109, 'conductor_radical': 109, 'degree': 2, 'euler_factors': [[[1.0, 0], [-33.500789964252206, 0], [512.0, 0]], [[1.0, 0], [-86.6312497560265, 0], [19683.0, 0]], [[1.0, 0], [2616.576551929662, 0], [1953125.0, 0]], [[1.0, 0], [-8620.812482338863, 0], [40353607.0, 0]], [[1.0, 0], [-34066.069367414595, 0], [2357947691.0, 0]], [[1.0, 0], [-4808.379659091774, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 56.138906141862186, 'bad_primes': [109], 'central_character': '1.1', 'conductor': 109, 'conductor_radical': 109, 'degree': 2, 'index': 73, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/109/10/a/a/1/33'], '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': '2-109-1.1-c9-0-73', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 1, 'prelabel': '2-109-1.1-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.492590082332156, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '2.10239971240852981930236268830', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2665108257354329698626371347332', 'Lhash_array': ['2665108257354329698626371347332'], 'label': '2-109-1.1-c9-0-73', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/109/10/a/a/1/33'}