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lfunc_lfunctions • Show schema
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{'Lhash': '990009869003574725509760960227', 'a10': [0.7917971096031607, -3.061544926540207], 'a2': [-0.6906241353495438, 1.2341143803038255], 'a3': [2.0756559789758158, 2.4736704699340804], 'a4': [-1.04607660734539, -1.704618353639535], 'a5': [-2.1625654069907196, 0.568604309240674], 'a6': [-4.486290414841854, 0.853220362779745], 'a7': [-1.4091753964274152, 2.440763383388297], 'a8': [2.826139775613676, -0.11372760744111753], 'a9': [-1.2897533177650504, 7.314554542832553], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.034315276808656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.6906241353495438, -1.2341143803038255]]], [5, [[1.0, 0], [2.1625654069907196, -0.568604309240674]]], [19, [[1.0, 0], [-3.104127250446258, 3.0601297379419967]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.219', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': 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'sign_arg': {'__RealLiteral__': 0, 'data': '0.46614971691', 'prec': 44}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.78098008143989527472466556194', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.11877820731923578068644714221', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.51846996888275082319163365738', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.034315276808656, 'bad_primes': [2, 5, 19], 'central_character': '380.219', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/2/bb/a/219/18'], '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': '2-380-380.219-c1-0-10', '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': '2-380-380.219-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7419286084132886, 'root_angle': 0.46614971690955853, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.78098008143989527472466556194', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '990009869003574725509760960227', 'Lhash_array': ['990009869003574725509760960227'], 'label': '2-380-380.219-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/2/bb/a/219/18'}