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lfunc_lfunctions • Show schema
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{'Lhash': '1090497323783233284458612450080', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 0], 'a8': [0, 0], 'a9': [0, -243.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.15352792519226, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '400.207', 'coefficient_field': 'CDF', 'conductor': 400, 'conductor_radical': 10, 'conjugate': '800967420226576132539763151457', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [0, 243.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0], [0, -16807.0]], [[1.0, 0], [0, 0], [-161051.0, 0]], [[1.0, 0], [475.0, -475.0], [0, -371293.0]], [[1.0, 0], [-1525.0, -1525.0], [0, 1419857.0]], [[1.0, 0], [0, 0], [2476099.0, 0]], [[1.0, 0], [0, 0], [0, 6436343.0]], [[1.0, 0], [0, 8564.0], [-20511149.0, 0]], [[1.0, 0], [0, 0], [-28629151.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.15352792519226, 'bad_primes': [2, 5], 'central_character': '20.7', 'conductor': 400, 'conductor_radical': 10, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/400/6/n/a/207/1'], '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': '2-20e2-20.7-c5-0-25', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-20e2-20.7-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.009589747620803, 'root_angle': 0.0881040955873917, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.860250705980732214930134167915', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1090497323783233284458612450080', 'Lhash_array': ['1090497323783233284458612450080'], 'label': '2-20e2-20.7-c5-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/400/6/n/a/207/1'}