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lfunc_lfunctions • Show schema
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{'Lhash': '2691286445710560059170949954999', 'a10': [0.1714927682670135, 5.926364014886075], 'a2': [-2.5935192207855775, -0.5512695281952974], 'a3': [0.49495750086272033, -1.6598244100927453], 'a4': [4.595352940582362, 2.045982948264201], 'a5': [-0.5279753839584715, -2.172841916461919], 'a6': [-2.198692411398325, 4.0319315227273025], 'a7': [1.0264442815256085, -1.777853646740886], 'a8': [-6.500095750850039, -4.722595999099492], 'a9': [-2.5100341446794605, -1.6430850837808886], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.49495750086272033, 1.6598244100927453]]], [5, [[1.0, 0], [0.5279753839584715, 2.172841916461919]]]], 'bad_primes': [3, 5], 'central_character': '225.106', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '1121408358470717073722190081490', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'bad_primes': [3, 5], 'central_character': '225.106', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/2/q/a/106/1'], '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': '2-15e2-225.106-c1-0-14', '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': '2-15e2-225.106-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323886, 'root_angle': 0.40081662292260295, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.12305066177227185258105402451', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2691286445710560059170949954999', 'Lhash_array': ['2691286445710560059170949954999'], 'label': '2-15e2-225.106-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/2/q/a/106/1'}