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lfunc_lfunctions • Show schema
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{'Lhash': '1124339293856948059587318726003', 'a10': [-0.9845643345292053, 0.17502305897527604], 'a2': [0.8509944817946918, 0.5251746299612957], 'a3': [0.0, 0.0], 'a4': [0.44838321609003223, 0.8938414241512638], 'a5': [-0.7459411454241821, 0.6660118674342517], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [-0.08785119655074318, 0.9961336091431725], 'a9': [0.49272734154829156, -0.8701837546695257], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.247662531582506, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8509944817946918, -0.5251746299612957]]], [5, [[1.0, 0], [0.7459411454241821, -0.6660118674342517]]]], 'bad_primes': [2, 5], 'central_character': '2500.431', 'coefficient_field': 'CDF', 'conductor': 2500, 'conductor_radical': 10, 'conjugate': '2349246435192476953908492297452', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8509944817946918, -0.5251746299612957]], [[1.0, 0], [0, 0], [-0.49272734154829156, 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'3.25455238234379251334081414918', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.247662531582506, 'bad_primes': [2, 5], 'central_character': '2500.431', 'conductor': 2500, 'conductor_radical': 10, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2500/1/t/a/431/1'], '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': '2-50e2-2500.431-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-50e2-2500.431-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1169881519436569, 'root_angle': -0.3184, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.886947313127545244054718283510', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1124339293856948059587318726003', 'Lhash_array': ['1124339293856948059587318726003'], 'label': '2-50e2-2500.431-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2500/1/t/a/431/1'}