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lfunc_lfunctions • Show schema
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{'Lhash': '1170875895704266569648812033318', 'a10': [-3.9510027983100997, -2.5155424473289885], 'a2': [-2.0867069893137495, -0.18256320566526454], 'a3': [0.0, 0.0], 'a4': [2.3514012291636592, 0.4146154791726014], 'a5': [1.9836997696557133, 1.0319569874117187], 'a6': [0.0, 0.0], 'a7': [3.3812656440898126, 2.3675876926811963], 'a8': [-0.7843849418442856, -0.2101753117223095], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.233941281861857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.9836997696557133, -1.0319569874117187]]]], 'bad_primes': [3, 5], 'central_character': '405.368', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '2202977626875739652698469698419', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.0867069893137495, 0.18256320566526454], [1.969615506024416, 0.3472963553338607]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.233941281861857, 'bad_primes': [3, 5], 'central_character': '135.113', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/368/2'], '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': '2-405-135.113-c1-0-5', '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': '2-405-135.113-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': -0.16686700381500866, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.923658218986730734117082146200', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1170875895704266569648812033318', 'Lhash_array': ['1170875895704266569648812033318'], 'factors': ['2-405-135.113-c1-0-5'], 'label': '2-405-135.113-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/368/2'}