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lfunc_lfunctions • Show schema
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{'Lhash': '1528765911192457818081964121629', 'a10': [0.0, 0.0], 'a2': [2.163545134279965, 0.0], 'a3': [0.0, 0.0], 'a4': [2.680927548066512, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [3.2681688371420643, 0.0], 'a8': [1.4732174834164886, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.356242591224525, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 5, 13], 'central_character': '2925.1', 'coefficient_field': 'CDF', 'conductor': 2925, 'conductor_radical': 195, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.163545134279965, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-3.2681688371420643, 0], [7.0, 0]], [[1.0, 0], [2.8538727851434413, 0], [11.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-6.380503134740648, 0], [17.0, 0]], [[1.0, 0], [-3.680927548066512, 0], [19.0, 0]], [[1.0, 0], 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'5.08740245950269372653917752531792', '5.26846308173924436650166264253076', '6.14899653666966733870256304151468', '7.25320913932674012615604088437275', '7.75550008047041607595718329448039', '8.542506733591677960901054433379041'], 'prelabel': '2-2925-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.832829667102341, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.20598366057430721763101498119', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.50458365983028852498984502990', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.18085052532622902094055859210', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.356242591224525, 'bad_primes': [3, 5, 13], 'central_character': '1.1', 'conductor': 2925, 'conductor_radical': 195, 'degree': 2, 'index': 49, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2925/2/a/bp/1/5'], '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': '2-2925-1.1-c1-0-49', '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': '2-2925-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.832829667102341, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20598366057430721763101498119', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1528765911192457818081964121629', 'Lhash_array': ['1528765911192457818081964121629'], 'label': '2-2925-1.1-c1-0-49', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2925/2/a/bp/1/5'}