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lfunc_lfunctions • Show schema
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{'Lhash': '2173501551252517047068184627110', 'a10': [-2.4965024205473116, -0.9034813270756893], 'a2': [-1.0282608747910014, 0.5936666928577446], 'a3': [0.2988739863202706, -0.17255497645578477], 'a4': [-0.2951197155826965, 0.5111623417045069], 'a5': [1.440449560200687, 1.7102938532654695], 'a6': [-0.2048802844173035, 0.3548630620799318], 'a7': [1.757647763261732, 1.0147784092597045], 'a8': [0.0, -3.0754777536193694], 'a9': [-1.440449560200687, 2.494931824007834], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5190276131383228, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-1.440449560200687, -1.7102938532654695]]], [13, [[1.0, 0], [-2.9623158497285433, 2.055403806177039]]]], 'bad_primes': [5, 13], 'central_character': '65.29', 'coefficient_field': 'CDF', 'conductor': 65, 'conductor_radical': 65, 'conjugate': '3660743253701532448752879588380', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0282608747910014, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.5190276131383228, 'bad_primes': [5, 13], 'central_character': '65.29', 'conductor': 65, 'conductor_radical': 65, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/65/2/n/a/29/2'], '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': '2-65-65.29-c1-0-1', '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': '2-65-65.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7204357106212342, 'root_angle': -0.16729749844338473, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.71459040122033398318564720035', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2173501551252517047068184627110', 'Lhash_array': ['2173501551252517047068184627110'], 'factors': ['2-65-65.29-c1-0-1'], 'label': '2-65-65.29-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/65/2/n/a/29/2'}