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lfunc_lfunctions • Show schema
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{'Lhash': '679121174343525186054691611807', 'a10': [-2609156.112366062, 0.0], 'a2': [-147.25086431373458, 0.0], 'a3': [-729.0, 0.0], 'a4': [13490.817041141869, 0.0], 'a5': [17719.122563565816, 0.0], 'a6': [107345.88008471251, 0.0], 'a7': [-561917.9810775968, 0.0], 'a8': [-780255.3891484858, 0.0], 'a9': [531441.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 189.79874424488557, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '6.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [729.0, 0]]], [59, [[1.0, 0], [-42180533641.0, 0]]]], 'bad_primes': [3, 59], 'central_character': '177.1', 'coefficient_field': 'CDF', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'euler_factors': [[[1.0, 0], [147.25086431373458, 0], [8192.0, 0]], [[1.0, 0], [729.0, 0]], [[1.0, 0], [-17719.122563565816, 0], [1220703125.0, 0]], [[1.0, 0], [561917.9810775968, 0], [96889010407.0, 0]], [[1.0, 0], [-4988155.598195284, 0], [34522712143931.0, 0]], [[1.0, 0], [-11814708.320709104, 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.53573214434738985599639318258', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.25891858917520058508238622230', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.60040204711513486689202180037', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 189.79874424488557, 'bad_primes': [3, 59], 'central_character': '1.1', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'index': 29, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/177/14/a/d/1/4'], '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': '2-177-1.1-c13-0-29', 'motivic_weight': 13, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [13], 'order_of_vanishing': 0, 'prelabel': '2-177-1.1-c13-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.776746504341494, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c13-0', 'z1': {'__RealLiteral__': 0, 'data': '0.53573214434738985599639318258', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '679121174343525186054691611807', 'Lhash_array': ['679121174343525186054691611807'], 'label': '2-177-1.1-c13-0-29', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/177/14/a/d/1/4'}