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lfunc_lfunctions • Show schema
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{'Lhash': '754728430293964716260291949597', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.3857634317521277, -0.34302099609291387], 'a4': [0.0, 0.0], 'a5': [2.0499687176300343, 0.8931003620748754], 'a6': [0.0, 0.0], 'a7': [-0.8266912837426275, 0.7163320750533435], 'a8': [0.0, 0.0], 'a9': [2.6957248276816212, 0.7915362270790374], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.6731184929788996, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.0499687176300343, -0.8931003620748754]]], [23, [[1.0, 0], [-1.3713877445556835, -4.595573484787559]]]], 'bad_primes': [2, 5, 23], 'central_character': '460.449', 'coefficient_field': 'CDF', 'conductor': 460, 'conductor_radical': 230, 'conjugate': '1979295995927352793374427239653', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.3857634317521277, 0.34302099609291387], [2.878478920843492, 0.8451976705242891]], [[1.0, 0], 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'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.59537575271773031508199119925', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.48883155112028960898098970634', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.46271422173558794150778709796', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.6731184929788996, 'bad_primes': [2, 5, 23], 'central_character': '115.104', 'conductor': 460, 'conductor_radical': 230, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/460/2/s/a/449/2'], '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': '2-460-115.104-c1-0-2', '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': '2-460-115.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9165381532802575, 'root_angle': -0.22432006945582886, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.59537575271773031508199119925', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '754728430293964716260291949597', 'Lhash_array': ['754728430293964716260291949597'], 'label': '2-460-115.104-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/460/2/s/a/449/2'}