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lfunc_lfunctions • Show schema
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{'Lhash': '1640312790492856596514652259584', 'a10': [1.0, 0], 'a2': [1.0, 0], 'a3': [-1.687037282565175, 0.39230754164954584], 'a4': [1.0, 0], 'a5': [1.0, 0], 'a6': [-1.687037282565175, 0.39230754164954584], 'a7': [0, -2.7226334107353694], 'a8': [1.0, 0], 'a9': [2.6921895855297797, -1.323674897988548], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 16.049930806277366, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [3, [[1.0, 0], [1.687037282565175, -0.39230754164954584]]], [5, [[1.0, 0], [-1.0, 0]]], [67, [[1.0, 0], [-5.24904985414226, -6.280722540339536]]]], 'bad_primes': [2, 3, 5, 67], 'central_character': '2010.401', 'coefficient_field': 'CDF', 'conductor': 2010, 'conductor_radical': 2010, 'conjugate': '1099415255703857213164050863672', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.687037282565175, -0.39230754164954584]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 16.049930806277366, 'bad_primes': [2, 3, 5, 67], 'central_character': '201.200', 'conductor': 2010, 'conductor_radical': 2010, 'degree': 2, 'index': 60, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2010/2/d/d/401/2'], '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': '2-2010-201.200-c1-0-60', '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': '2-2010-201.200-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.006236489060196, 'root_angle': 0.10283922323430998, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.29397863275379874202854513510', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1640312790492856596514652259584', 'Lhash_array': ['1640312790492856596514652259584'], 'label': '2-2010-201.200-c1-0-60', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2010/2/d/d/401/2'}