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lfunc_lfunctions • Show schema
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{'Lhash': '5634379629065956693287739257462', 'a10': [-1.2360679774997898, -5.374945916436401e-61], 'a2': [0.30901699437494745, 0.9510565162951535], 'a3': [-2.118033988749895, -1.5388417685876268], 'a4': [-0.8090169943749475, 0.5877852522924731], 'a5': [-0.38196601125010515, 1.1755705045849463], 'a6': [0.8090169943749475, -2.48989828488278], 'a7': [1.618033988749895, -1.1755705045849463], 'a8': [-0.8090169943749475, -0.5877852522924731], 'a9': [1.1909830056250525, 3.6654687894677265], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.17567088444681694, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.30901699437494745, -0.9510565162951535]]], [11, [[1.0, 0], [0.8090169943749475, -3.216440812888141]]]], 'bad_primes': [2, 11], 'central_character': '22.5', 'coefficient_field': 'CDF', 'conductor': 22, 'conductor_radical': 22, 'conjugate': '6456573983958122238645964414538', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.17567088444681694, 'bad_primes': [2, 11], 'central_character': '11.5', 'conductor': 22, 'conductor_radical': 22, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/22/2/c/a/5/1'], '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': '2-22-11.5-c1-0-0', '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': '2-22-11.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.41913110651300617, 'root_angle': -0.053499132828221496, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '4.44474181454379931595270600981', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5634379629065956693287739257462', 'Lhash_array': ['5634379629065956693287739257462'], 'label': '2-22-11.5-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/22/2/c/a/5/1'}