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lfunc_lfunctions • Show schema
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{'Lhash': '1280900506101368933816998474901', 'a10': [-0.9076037345479523, 0.7615699589143088], 'a2': [-1.032088886237956, -0.8660254037844386], 'a3': [-0.5, 2.8356409098088546], 'a4': [-0.03208888623795607, -0.18198511713310117], 'a5': [0.1527036446661393, -0.8660254037844386], 'a6': [2.9717815070238642, -2.493620766483186], 'a7': [0.0, 0.0], 'a8': [-1.4717815070238645, 2.5492003478056238], 'a9': [-4.971781507023865, -1.8095804798318487], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.434072428181207, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-1.5209445330007911, 4.08493913388376]]]], 'bad_primes': [7, 19], 'central_character': '931.226', 'coefficient_field': 'CDF', 'conductor': 931, 'conductor_radical': 133, 'conjugate': '750167179725982767209218713713', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.032088886237956, 0.8660254037844386], [0.3472963553338607, 1.969615506024416]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.434072428181207, 'bad_primes': [7, 19], 'central_character': '133.93', 'conductor': 931, 'conductor_radical': 133, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/931/2/x/a/226/1'], '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': '2-931-133.93-c1-0-23', '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': '2-931-133.93-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7265495462546077, 'root_angle': 0.10719349039007195, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.01045233274117805227602290997', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1280900506101368933816998474901', 'Lhash_array': ['1280900506101368933816998474901'], 'label': '2-931-133.93-c1-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/931/2/x/a/226/1'}