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lfunc_lfunctions • Show schema
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{'Lhash': '2784641941837975983547112869862', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-1.0849536139705258, -1.9552175468556678], 'a6': [0, 0], 'a7': [-0.5951879442120862, -2.5779354745735183], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.061150654681333, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0849536139705258, 1.9552175468556678]]], [7, [[1.0, 0], [0.5951879442120862, 2.5779354745735183]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1260.629', 'coefficient_field': 'CDF', 'conductor': 1260, 'conductor_radical': 210, 'conjugate': '237290224889330448111650695203', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.0849536139705258, 1.9552175468556678]], [[1.0, 0], [0.5951879442120862, 2.5779354745735183]], [[1.0, 0], [0, 3.7416573867739413], [-11.0, 0]], [[1.0, 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'2.81775087891245844873887001936818', '4.12317583147173153151675061130666', '4.99220532521110805403779477204695', '6.08371605212911623346550381215205', '6.91587629007814984103490357268609', '7.55987111078539525625763747785435', '8.451898575006817097183183291722964', '9.525770876160708164487890245347375', '9.932741516476678044285302359383317'], 'prelabel': '2-1260-105.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1719316913643225, 'root_angle': -0.9293937776729443, 'root_number': '-0.97549953770945617175883842850046570576153818807125843835 - 0.22000148165100456057335877013018334649581027897860388001*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.46469688883647214', 'prec': 67}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.19669516295470184074007328987', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.81775087891245844873887001937', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.12317583147173153151675061131', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.061150654681333, 'bad_primes': [2, 3, 5, 7], 'central_character': '105.104', 'conductor': 1260, 'conductor_radical': 210, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1260/2/f/a/629/3'], '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': '2-1260-105.104-c1-0-15', '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': '2-1260-105.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1719316913643225, 'root_angle': -0.46469688883647214, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.19669516295470184074007328987', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2784641941837975983547112869862', 'Lhash_array': ['2784641941837975983547112869862'], 'label': '2-1260-105.104-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1260/2/f/a/629/3'}