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lfunc_lfunctions • Show schema
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{'Lhash': '3925179207975437619563224097543', 'a10': [-1.9665583283258226, 0.46144326582971606], 'a2': [0.8252589176415662, 0.36742894294070005], 'a3': [-0.45368907530497227, -1.6715759698407127], 'a4': [-0.7922129596813072, -0.8798416274319346], 'a5': [-1.7809704669089803, 1.3520888269629363], 'a6': [0.23977443641166413, -1.5461814729894474], 'a7': [-1.5326513899338492, -2.6546300776564857], 'a8': [-0.8888076951007688, -2.7354688109263186], 'a9': [-2.5883324458978385, 1.5167515121180903], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.45368907530497227, 1.6715759698407127]]], [5, [[1.0, 0], [1.7809704669089803, -1.3520888269629363]]]], 'bad_primes': [3, 5], 'central_character': '225.211', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '829734964015605840645369567846', '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': '225.211', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 27, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/2/q/a/211/19'], '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': '2-15e2-225.211-c1-0-27', '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': '2-15e2-225.211-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323886, 'root_angle': 0.3444981247325026, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.09642042315819788165892093405', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3925179207975437619563224097543', 'Lhash_array': ['3925179207975437619563224097543'], 'label': '2-15e2-225.211-c1-0-27', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/2/q/a/211/19'}