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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_283.124', 'a10': [-0.33852827608637553, 0.9409562191143575], 'a2': [0.9799617050365869, -0.1991859851038361], 'a3': [-0.011140169045865561, -0.9999379463914896], 'a4': [0.9206498866764288, -0.3903892751634948], 'a5': [-0.5191700380805753, 0.8546709726903178], 'a6': [-0.21009056394727793, -0.9776819293309633], 'a7': [0.9990072962822006, 0.04454685145919221], 'a8': [0.8244415603417603, -0.5659470943305952], 'a9': [-0.999751793267259, 0.0222789555163537], 'algebraic': True, 'analytic_conductor': 30.41257371687888, 'analytic_normalization': 0, 'bad_lfactors': [[283, [1]]], 'bad_primes': [283], 'central_character': '283.124', 'coeff_info': ['x^282 - 1', '0.999751793267259 + 0.0222789555163537*I', '\\\\zeta_{282}'], 'conductor': 283, 'conductor_radical': 283, 'conjugate': 'dirichlet_L_283.194', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^273', 'a^211', 'a^264', 'a^95', 'a^202', 'a^2', 'a^255', 'a^140', 'a^86', 'a^206', 'a^193', 'a^14', 'a^275', 'a^24', 'a^246', 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'2.23323559171', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '3.22225637069', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 30.41257371687888, 'bad_primes': [283], 'central_character': '283.124', 'conductor': 283, 'conductor_radical': 283, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/283/124'], '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': '1-283-283.124-r1-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-283-283.124-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 30.41257371687888, 'root_angle': -0.2434979336156639, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.913391974525', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_283.124', 'Lhash_array': ['dirichlet_L_283.124'], 'label': '1-283-283.124-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/283/124'}
Lfunction data - 1-283-283.124-r1-0-0