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lfunc_lfunctions • Show schema
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{'Lhash': '847089352654267012132569037245', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, -2621.9337659771604], 'a6': [0, 0], 'a7': [0, 22511.91772732949], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 182.98288877003264, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '288.271', 'coefficient_field': 'CDF', 'conductor': 288, 'conductor_radical': 6, 'conjugate': '1252505857200428204495055901709', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 2621.9337659771604], [-9765625.0, 0]], [[1.0, 0], [0, -22511.91772732949], [-282475249.0, 0]], [[1.0, 0], [-246418.17564706126, 0], [25937424601.0, 0]], [[1.0, 0], [0, -223392.34313506162], [-137858491849.0, 0]], [[1.0, 0], [-2636619.62802406, 0], [2015993900449.0, 0]], [[1.0, 0], [-1106833.854164362, 0], 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67}, 'spectral_label': 'c10-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.66823567353792597447771636783', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.42040614740454701485074472572', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.14960959196841022372317164443', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 182.98288877003264, 'bad_primes': [2, 3], 'central_character': '8.3', 'conductor': 288, 'conductor_radical': 6, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/288/11/b/c/271/6'], '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': '2-288-8.3-c10-0-26', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-288-8.3-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.527116794425657, 'root_angle': -0.11973786947263787, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '0.66823567353792597447771636783', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '847089352654267012132569037245', 'Lhash_array': ['847089352654267012132569037245'], 'label': '2-288-8.3-c10-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/288/11/b/c/271/6'}