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lfunc_lfunctions • Show schema
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{'Lhash': '2616366116792929074277167942098', 'a10': [320.8256274120016, 0.0], 'a2': [4.0, 0.0], 'a3': [-10.068802284333465, 0.0], 'a4': [16.0, 0.0], 'a5': [80.2064068530004, 0.0], 'a6': [-40.27520913733386, 0.0], 'a7': [208.61922055900118, 0.0], 'a8': [64.0, 0.0], 'a9': [-141.61922055900118, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.169979315137497, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-4.0, 0]]], [13, [[1.0, 0], [169.0, 0]]]], 'bad_primes': [2, 13], 'central_character': '26.1', 'coefficient_field': 'CDF', 'conductor': 26, 'conductor_radical': 26, 'conjugate': '2616366116792929074277167942098', 'degree': 2, 'euler_factors': [[[1.0, 0], [-4.0, 0]], [[1.0, 0], [10.068802284333465, 0], [243.0, 0]], [[1.0, 0], [-80.2064068530004, 0], [3125.0, 0]], [[1.0, 0], [-208.61922055900118, 0], [16807.0, 0]], [[1.0, 0], [459.65125482400316, 0], [161051.0, 0]], [[1.0, 0], [169.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.169979315137497, 'bad_primes': [2, 13], 'central_character': '1.1', 'conductor': 26, 'conductor_radical': 26, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/26/6/a/c/1/1'], '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': '2-26-1.1-c5-0-2', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-26-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0420527209495587, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '2.06394894328285352622557765711', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2616366116792929074277167942098', 'Lhash_array': ['2616366116792929074277167942098'], 'factors': ['2-26-1.1-c5-0-2'], 'label': '2-26-1.1-c5-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/26/6/a/c/1/1'}