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lfunc_lfunctions • Show schema
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{'Lhash': '991417271576270022693171948017', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.722562563412072, -1.260021066612415], 'a4': [0.0, 0.0], 'a5': [0.6890111562528956, 4.952298822421668], 'a6': [0.0, 0.0], 'a7': [0.0, -0.735748124181275], 'a8': [0.0, 0.0], 'a9': [5.824693823385824, 6.860972370139019], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.269763172323563, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [2.722562563412072, 1.260021066612415]]], [5, [[1.0, 0], [-0.6890111562528956, -4.952298822421668]]]], 'bad_primes': [2, 3, 5], 'central_character': '120.89', 'coefficient_field': 'CDF', 'conductor': 120, 'conductor_radical': 30, 'conjugate': '2532995341487847060159331862554', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.722562563412072, 1.260021066612415]], [[1.0, 0], [-0.6890111562528956, -4.952298822421668]], [[1.0, 0], [0, 0.735748124181275], [-49.0, 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'5.32211256024026797864486446262', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.269763172323563, 'bad_primes': [2, 3, 5], 'central_character': '15.14', 'conductor': 120, 'conductor_radical': 30, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/120/3/c/a/89/1'], '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': '2-120-15.14-c2-0-1', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-120-15.14-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8082486478146647, 'root_angle': -0.20301572194917827, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.78209032630740206773354760394', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '991417271576270022693171948017', 'Lhash_array': ['991417271576270022693171948017'], 'label': '2-120-15.14-c2-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/120/3/c/a/89/1'}