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lfunc_lfunctions • Show schema
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{'Lhash': '680520579290317338002637527443', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-0.5951879442120862, 0.5951879442120862], 'a6': [0, 0], 'a7': [0, -1.6457513110645905], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.198766312851504, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '1152.289', 'coefficient_field': 'CDF', 'conductor': 1152, 'conductor_radical': 6, 'conjugate': '1727803144967521710788570409582', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.5951879442120862, -0.5951879442120862], [0, -5.0]], [[1.0, 0], [0, 1.6457513110645905], [-7.0, 0]], [[1.0, 0], [3.360283116365224, -3.360283116365224], [0, -11.0]], [[1.0, 0], [2.6457513110645907, 2.6457513110645907], [0, 13.0]], [[1.0, 0], [-5.530190344306275, 0], [17.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.198766312851504, 'bad_primes': [2, 3], 'central_character': '16.13', 'conductor': 1152, 'conductor_radical': 6, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1152/2/k/e/289/2'], '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': '2-1152-16.13-c1-0-5', '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': '2-1152-16.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.032946803498456, 'root_angle': -0.22124331797967303, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.53683608020048707484273994794', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '680520579290317338002637527443', 'Lhash_array': ['680520579290317338002637527443'], 'label': '2-1152-16.13-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1152/2/k/e/289/2'}