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lfunc_lfunctions • Show schema
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{'Lhash': '1174849992760516625358942185824', 'a10': [5.0157635065150545, 0.5706572226005566], 'a2': [-1.3881870748211056, 0.2700678531399516], 'a3': [-1.7179559252055991, 0.22051630110033474], 'a4': [1.8541267094007552, -0.7498094061071305], 'a5': [-3.4043509495585225, -1.0733877313148197], 'a6': [2.325289846462216, -0.7700825474841791], 'a7': [0.5090996742658939, -0.23739707687440156], 'a8': [-2.3713753164992215, 1.5416157459945126], 'a9': [2.902745121898053, -0.7576745721594842], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.899074734638629, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3881870748211056, -0.2700678531399516]]], [3, [[1.0, 0], [1.7179559252055991, -0.22051630110033474]]]], 'bad_primes': [2, 3], 'central_character': '864.13', 'coefficient_field': 'CDF', 'conductor': 864, 'conductor_radical': 6, 'conjugate': '372376304538243405014939505880', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.1576894274626694 + 0.9874887566278897*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.224797756418', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.926793228787960311336159096597', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.81020536436852299582885113661', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.87039239567521510066918484841', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.899074734638629, 'bad_primes': [2, 3], 'central_character': '864.13', 'conductor': 864, 'conductor_radical': 6, 'degree': 2, 'index': 50, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/864/2/bu/a/13/9'], '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': '2-864-864.13-c1-0-50', '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': '2-864-864.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6266089801564734, 'root_angle': 0.2247977564175591, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.926793228787960311336159096597', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1174849992760516625358942185824', 'Lhash_array': ['1174849992760516625358942185824'], 'label': '2-864-864.13-c1-0-50', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/864/2/bu/a/13/9'}