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lfunc_lfunctions • Show schema
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{'Lhash': '1402265279827770054561848863299', 'a10': [-0.4270509831248423, 0.739674000194466], 'a2': [-0.33079226912480375, 0.19098300562505258], 'a3': [0.0, 0.0], 'a4': [-0.9270509831248422, 1.6056994039789048], 'a5': [1.9364916731037085, -1.118033988749895], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, -1.4721359549995794], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.8272093728194765, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.9364916731037085, 1.118033988749895]]], [19, [[1.0, 0], [-4.354101966249685, 0.20444086553483115]]]], 'bad_primes': [3, 5, 19], 'central_character': '855.64', 'coefficient_field': 'CDF', 'conductor': 855, 'conductor_radical': 285, 'conjugate': '1397700153592850895391875926854', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.33079226912480375, -0.19098300562505258], [1.0, -1.7320508075688772]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.8272093728194765, 'bad_primes': [3, 5, 19], 'central_character': '95.64', 'conductor': 855, 'conductor_radical': 285, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/855/2/be/c/64/2'], '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': '2-855-95.64-c1-0-26', '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': '2-855-95.64-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.612892912619933, 'root_angle': -0.05692410617989162, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10619225800493011053447769347', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1402265279827770054561848863299', 'Lhash_array': ['1402265279827770054561848863299'], 'label': '2-855-95.64-c1-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/855/2/be/c/64/2'}