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  • lfunc_lfunctions • Show schema
    {'Lhash': '2230316263223397035447398898604', 'a10': [0.0, 0.0], 'a2': [0.32117617267967163, -1.8214805890126198], 'a3': [2.2779695373511264, 1.5950514418653439], 'a4': [-1.335252160680781, -0.48599204172743676], 'a5': [0.0, 0.0], 'a6': [3.636984777321632, -3.636984777321632], 'a7': [0.30994008629553793, -3.542631397080363], 'a8': [0.5355036141658832, -0.9275194673720705], 'a9': [1.618895680925987, 4.447879327796764], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.3861621869684395, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [37, [[1.0, 0], [-1.7498768100410977, -5.825627103555496]]]], 'bad_primes': [5, 37], 'central_character': '925.468', 'coefficient_field': 'CDF', 'conductor': 925, 'conductor_radical': 185, 'conjugate': '1761606952270019319452859309274', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.32117617267967163, 1.8214805890126198], [-1.8793852415718169, -0.6840402866513374]], [[1.0, 0], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.3861621869684395, 'bad_primes': [5, 37], 'central_character': '185.98', 'conductor': 925, 'conductor_radical': 185, 'degree': 2, 'index': 42, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/925/2/bn/b/468/15'], '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': '2-925-185.98-c1-0-42', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-925-185.98-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.717749470971973, 'root_angle': 0.20256410639461445, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.75940930633555342653149518727', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2230316263223397035447398898604', 'Lhash_array': ['2230316263223397035447398898604'], 'factors': ['2-925-185.98-c1-0-42'], 'label': '2-925-185.98-c1-0-42', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/925/2/bn/b/468/15'}