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lfunc_lfunctions • Show schema
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{'Lhash': '4620378850838990005994251655407', 'a10': [36.00576155898485, 28.01798201969625], 'a2': [0.3556485898932862, -4.06508198388358], 'a3': [-0.3596493948462632, -5.183690993181086], 'a4': [-8.519943592104118, -1.5022959294021527], 'a5': [-6.07096895608829, 9.388468242168807], 'a6': [-21.200037666533063, -0.38156811666320484], 'a7': [-6.05376200777723, 8.645668144698194], 'a8': [-0.6879455036339304, 2.5674475724003876], 'a9': [-26.741304625573434, 3.7286226575352055], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.965257850774987, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.3596493948462632, 5.183690993181086]]], [5, [[1.0, 0], [6.07096895608829, -9.388468242168807]]]], 'bad_primes': [3, 5], 'central_character': '135.32', 'coefficient_field': 'CDF', 'conductor': 135, 'conductor_radical': 15, 'conjugate': '114803425601018478448568045116', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.3556485898932862, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.965257850774987, 'bad_primes': [3, 5], 'central_character': '135.32', 'conductor': 135, 'conductor_radical': 15, 'degree': 2, 'index': 50, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/135/4/q/a/32/44'], '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': '2-135-135.32-c3-0-50', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-135-135.32-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.822278840011204, 'root_angle': -0.20574740665770705, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '3.64483624273686393692467368660', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4620378850838990005994251655407', 'Lhash_array': ['4620378850838990005994251655407'], 'label': '2-135-135.32-c3-0-50', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/135/4/q/a/32/44'}