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lfunc_lfunctions • Show schema
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{'Lhash': '680520047826868017103060219719', 'a10': [-2.1514733454361084, -0.6092310266868883], 'a2': [1.0, 0.0], 'a3': [-1.0512236837793008, 1.0512236837793008], 'a4': [1.0, 0.0], 'a5': [-2.1514733454361084, -0.6092310266868883], 'a6': [-1.0512236837793008, 1.0512236837793008], 'a7': [-1.2184620533737767, 1.2184620533737767], 'a8': [1.0, 0.0], 'a9': [0.0, 0.7898575333229532], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [2.1514733454361084, 0.6092310266868883]]], [37, [[1.0, 0], [-4.7578335276799315, 3.7898575333229534]]]], 'bad_primes': [2, 5, 37], 'central_character': '370.253', 'coefficient_field': 'CDF', 'conductor': 370, 'conductor_radical': 370, 'conjugate': '3109589319210092961663142337681', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.0512236837793008, -1.0512236837793008], [0, -3.0]], 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{'__RealLiteral__': 0, 'data': '-0.363173084713', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.53683566094974935167656753409', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.91751639459033883558920369938', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.90037076172018305211656057235', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'bad_primes': [2, 5, 37], 'central_character': '185.68', 'conductor': 370, 'conductor_radical': 370, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/370/2/h/d/253/2'], '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': '2-370-185.68-c1-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-370-185.68-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7188556875978203, 'root_angle': -0.36317308471311016, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.53683566094974935167656753409', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '680520047826868017103060219719', 'Lhash_array': ['680520047826868017103060219719'], 'label': '2-370-185.68-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/370/2/h/d/253/2'}