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lfunc_lfunctions • Show schema
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{'Lhash': '1996714177503535898841546214632', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-5.540156611303866, -5.540156611303866], 'a4': [0.0, 0.0], 'a5': [21.73738197694438, 21.73738197694438], 'a6': [0.0, 0.0], 'a7': [6.620540421529044, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, -19.613329444452123], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.615677637366039, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '64.15', 'coefficient_field': 'CDF', 'conductor': 64, 'conductor_radical': 2, 'conjugate': '1488325413713808451357278460126', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [5.540156611303866, 5.540156611303866], [0, 81.0]], [[1.0, 0], [-21.73738197694438, -21.73738197694438], [0, 625.0]], [[1.0, 0], [-6.620540421529044, 0], [2401.0, 0]], [[1.0, 0], [-90.99855391246705, 90.99855391246705], [0, -14641.0]], [[1.0, 0], [-221.40153373903362, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.615677637366039, 'bad_primes': [2], 'central_character': '16.11', 'conductor': 64, 'conductor_radical': 2, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/64/5/f/a/15/2'], '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': '2-2e6-16.11-c4-0-3', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-2e6-16.11-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.5720959619279444, 'root_angle': 0.10427304628021188, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.57512975353306737512138172494', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1996714177503535898841546214632', 'Lhash_array': ['1996714177503535898841546214632'], 'label': '2-2e6-16.11-c4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/64/5/f/a/15/2'}