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lfunc_lfunctions • Show schema
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{'Lhash': '2793986241808263622860285369600', 'a10': [2.3819180804289033, -5.654694223508572], 'a2': [2.6840876523007586, 0.5705204425940111], 'a3': [-1.7254885212915978, 0.15062988711054512], 'a4': [5.0517420345305295, 2.2491804645518974], 'a5': [0.4206153951895064, -2.19615179104942], 'a6': [-4.717299864047666, -0.5801226547972967], 'a7': [-0.9311823015512194, 1.6128550573956353], 'a8': [7.83614595728787, 5.693293293626917], 'a9': [2.954621274218129, -0.5198202823453896], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.7254885212915978, -0.15062988711054512]]], [5, [[1.0, 0], [-0.4206153951895064, 2.19615179104942]]]], 'bad_primes': [3, 5], 'central_character': '225.106', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '3111245985307580155706127678848', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0.49839358603835965*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.083038270266', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.20406651588791962160571815918', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.62999677654659908294660014119', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.76753197091191253456747899505', 'prec': 103}}
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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': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/2/q/a/106/28'], '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-c1-0-17', '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': -0.08303827026596312, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.20406651588791962160571815918', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2793986241808263622860285369600', 'Lhash_array': ['2793986241808263622860285369600'], 'label': '2-15e2-225.106-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/2/q/a/106/28'}