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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_1441.1092', 'a10': [0.9813701261394134, -0.19212671735370837], 'a2': [0.024163745236132288, 0.9997080140801929], 'a3': [-0.9895063994510511, -0.14448904956922132], 'a4': [-0.9988322268323266, 0.048313379525507065], 'a5': [-0.16835704134703855, -0.9857260809316509], 'a6': [0.12053668025532305, -0.992708874098054], 'a7': [-0.9068743608505454, 0.4214011077725291], 'a8': [-0.07243480016176236, -0.9973731496914912], 'a9': [0.9582458291091662, 0.2859456783986893], 'algebraic': True, 'analytic_conductor': 6.691975866344493, 'analytic_normalization': 0, 'bad_lfactors': [[11, [1]], [131, [1]]], 'bad_primes': [11, 131], 'central_character': '1441.1092', 'coeff_info': ['x^65 - 1', '0.995331634717649 + 0.0965139209145151*I', '\\\\zeta_{65}'], 'conductor': 1441, 'conductor_radical': 1441, 'conjugate': 'dirichlet_L_1441.1313', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^16', 'a^34', 'a^32', 'a^47', 'a^50', 'a^28', 'a^48', 'a^3', 'a^63', 0, 'a^1', 'a^54', 'a^44', 'a^16', 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[]], 'index': 0, 'label': '1-1441-1441.1092-r0-0-0', 'leading_term': '0.619731362804493545462152411220+0.0163973284551260026767390002713*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/1441/1092', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [0.6199482514081153, 0.30201548240718723, -0.5152300152858106, -1.5384778535012584, -1.6309192456013029, 0.3350294495756664, 4.280756743888525, 8.435486438833962, 10.263938559142598, 8.356493789463457, 3.7530920771434557, -0.643434461566494, -2.3061511809263178, -1.0681503325742188, 1.003931644049547, 1.734565537110671, 0.8335719625615017, -0.24089539077436162, -0.24558650282634215, 0.3842323899129608, 0.27329339029266475, -0.9252199893626543, -1.8836004710025542, -1.2508394876262399, 0.4060120193174384, 1.0059885662202777, 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lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 6.691975866344493, 'bad_primes': [11, 131], 'central_character': '1441.1092', 'conductor': 1441, 'conductor_radical': 1441, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/1441/1092'], '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': '1-1441-1441.1092-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': '1-1441-1441.1092-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.691975866344493, 'root_angle': 0.008420122969161265, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.453722901417', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_1441.1092', 'Lhash_array': ['dirichlet_L_1441.1092'], 'label': '1-1441-1441.1092-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/1441/1092'}
Lfunction data - 1-1441-1441.1092-r0-0-0