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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_1441.1080', 'a10': [-0.3546048870425356, 0.9350162426854148], 'a2': [0.6448422127361706, 0.7643157205458483], 'a3': [-0.9068743608505454, -0.4214011077725291], 'a4': [-0.16835704134703855, 0.9857260809316509], 'a5': [0.4859834132426061, 0.873968032626518], 'a6': [-0.2627073781985869, -0.9648755533435515], 'a7': [-0.7796743540632224, 0.6261851975383137], 'a8': [-0.8619696668800493, 0.5069598538135904], 'a9': [0.6448422127361706, 0.7643157205458483], 'algebraic': True, 'analytic_conductor': 6.691975866344493, 'analytic_normalization': 0, 'bad_lfactors': [[11, [1]], [131, [1]]], 'bad_primes': [11, 131], 'central_character': '1441.1080', 'coeff_info': ['x^130 - 1', '0.998832226832327 + 0.0483133795255071*I', '\\\\zeta_{130}'], 'conductor': 1441, 'conductor_radical': 1441, 'conjugate': 'dirichlet_L_1441.479', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^18', 'a^74', 'a^36', 'a^22', 'a^92', 'a^51', 'a^54', 'a^18', 'a^40', 0, 'a^110', 'a^103', 'a^69', 'a^96', 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[1, 'a^23']], 'gamma_factors': [[0], []], 'index': 0, 'label': '1-1441-1441.1080-r0-0-0', 'leading_term': '0.691188167262784267340674105885-0.173245282037621179842896548148*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/1441/1080', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [0.7125693021119995, -0.21633310150805338, -2.0734625690920963, -4.560715846228115, -6.343927118018967, -6.105311672793002, -3.7466481445792543, -0.7478581315572747, 0.8229038567755682, 0.0032409964225129147, -2.1456608112829407, -3.3958287418109117, -2.365090010450616, 0.18607965457137715, 2.1071042256243953, 1.9718251298333107, 0.3973059603854712, -0.8058379064469396, -0.6632378633764173, 0.07549616384212882, 0.1678118124899778, -0.37904139273875287, -0.3570018247031449, 0.7524684513015996, 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 6.691975866344493, 'bad_primes': [11, 131], 'central_character': '1441.1080', 'conductor': 1441, 'conductor_radical': 1441, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/1441/1080'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': True, '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': '1-1441-1441.1080-r0-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-1441-1441.1080-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.691975866344493, 'root_angle': -0.07817338412252076, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.258215136201', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_1441.1080', 'Lhash_array': ['dirichlet_L_1441.1080'], 'label': '1-1441-1441.1080-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/1441/1080'}
Lfunction data - 1-1441-1441.1080-r0-0-0