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lfunc_lfunctions • Show schema
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{'Lhash': '993714538652549188058601419717', 'a10': [-26475307663.425148, 36707560376.9826], 'a2': [1174.530992096673, 847.1298298397982], 'a3': [0.0, -178661.65845923455], 'a4': [661894.1027911891, 1989960.4789528477], 'a5': [0.0, 31252951.709222574], 'a6': [151349620.3294675, -209843654.95976165], 'a7': [298845786.4702691, 0.0], 'a8': [-908339744.7089766, 2897980494.247124], 'a9': [-21459635000.40417, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 22.35818754296497, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '10.5', 'prec': 14}, 'bad_lfactors': [[2, [[1.0, 0], [-1174.530992096673, -847.1298298397982]]]], 'bad_primes': [2], 'central_character': '8.5', 'coefficient_field': 'CDF', 'conductor': 8, 'conductor_radical': 2, 'conjugate': '2279332467119074732692386110569', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1174.530992096673, -847.1298298397982]], [[1.0, 0], [0, 178661.65845923455], [-10460353203.0, 0]], [[1.0, 0], [0, -31252951.709222574], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 22.35818754296497, 'bad_primes': [2], 'central_character': '8.5', 'conductor': 8, 'conductor_radical': 2, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8/22/b/a/5/16'], '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': '2-2e3-8.5-c21-0-7', 'motivic_weight': 21, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [21], 'order_of_vanishing': 0, 'prelabel': '2-2e3-8.5-c21-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.728444516219364, 'root_angle': -0.20165828006444542, 'self_dual': False, 'spectral_label': 'c21-0', 'z1': {'__RealLiteral__': 0, 'data': '0.78390255049273007730040633420', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '993714538652549188058601419717', 'Lhash_array': ['993714538652549188058601419717'], 'label': '2-2e3-8.5-c21-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8/22/b/a/5/16'}