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lfunc_lfunctions • Show schema
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{'Lhash': '1787849800209956035138403100270', 'a10': [-0.25529067962684293, 2.42892856773596], 'a2': [1.0137484246047106, 0.21547887953237893], 'a3': [0.9673341227408949, 1.6754718484822986], 'a4': [-0.8458361944211988, -0.3765905368285258], 'a5': [0.24632537985355576, 2.343629438251547], 'a6': [0.6196046463959525, 1.906947019770117], 'a7': [2.645710726521619, 0.014654404404333094], 'a8': [-2.453242027400309, -1.7823846643964172], 'a9': [-0.3714706100377936, 0.6434059701040639], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.291706538010748, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-2.645710726521619, -0.014654404404333094]]], [41, [[1.0, 0], [-2.7910597471739744, 5.76281055455627]]]], 'bad_primes': [7, 41], 'central_character': '287.100', 'coefficient_field': 'CDF', 'conductor': 287, 'conductor_radical': 287, 'conjugate': '3299532643206118079835798658184', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0.982025787648469*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.219778728928', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.41036481179283102003889306541', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.96364185550220101369415375541', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.56345199615537112794397445801', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.291706538010748, 'bad_primes': [7, 41], 'central_character': '287.100', 'conductor': 287, 'conductor_radical': 287, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/287/2/s/a/100/17'], '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': '2-287-287.100-c1-0-9', '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': '2-287-287.100-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5138383460629963, 'root_angle': -0.2197787289279538, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.41036481179283102003889306541', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1787849800209956035138403100270', 'Lhash_array': ['1787849800209956035138403100270'], 'label': '2-287-287.100-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/287/2/s/a/100/17'}