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lfunc_lfunctions • Show schema
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{'Lhash': '3416363444581819512376689166119', 'a10': [3.2295743593752317, 5.4189592664884545e-61], 'a2': [-0.3208269713783411, 1.197342557622415], 'a3': [0.0, -2.225307416031381], 'a4': [0.40135155283889, 0.23172042707120746], 'a5': [-0.6743212998684889, -2.5166013517350887], 'a6': [2.664455273007141, 0.71393863867111], 'a7': [2.6402214424561277, -0.17096998214564937], 'a8': [-2.159244304446241, 2.159244304446241], 'a9': [-1.9519930958442606, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-2.6402214424561277, 0.17096998214564937]]], [13, [[1.0, 0], [0.4452091202674636, -3.5779587531483186]]]], 'bad_primes': [7, 13], 'central_character': '91.33', 'coefficient_field': 'CDF', 'conductor': 91, 'conductor_radical': 91, 'conjugate': '2309526693265918540507505462837', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.3208269713783411, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'bad_primes': [7, 13], 'central_character': '91.33', 'conductor': 91, 'conductor_radical': 91, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/91/2/w/a/33/3'], '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': '2-91-91.33-c1-0-5', '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': '2-91-91.33-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8524310285258578, 'root_angle': 0.025479024842528793, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.69503555945678813990979353663', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3416363444581819512376689166119', 'Lhash_array': ['3416363444581819512376689166119'], 'label': '2-91-91.33-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/91/2/w/a/33/3'}