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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_3751.598', 'a10': [0.2725855764553978, 0.9621315416867272], 'a2': [0.5163974616389619, 0.8563490302515889], 'a3': [-0.5, -0.8660254037844386], 'a4': [-0.4666673232256737, 0.8844329309978143], 'a5': [0.9646829124588557, 0.2634138918316567], 'a6': [0.48342128388456385, -0.8753878353549357], 'a7': [0.38048352246492306, -0.9247876994925291], 'a8': [-0.9983691039261356, 0.057088810862767986], 'a9': [-0.5, 0.8660254037844386], 'algebraic': True, 'analytic_conductor': 17.41957076659139, 'analytic_normalization': 0, 'bad_lfactors': [[11, [1]], [31, [1]]], 'bad_primes': [11, 31], 'central_character': '3751.598', 'coeff_info': ['x^165 - 1', '0.999275047800474 + 0.0380707084693900*I', '\\\\zeta_{165}'], 'conductor': 3751, 'conductor_radical': 341, 'conjugate': 'dirichlet_L_3751.69', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^27', 'a^110', 'a^54', 'a^7', 'a^137', 'a^134', 'a^81', 'a^55', 'a^34', 0, 'a^164', 'a^109', 'a^161', 'a^117', 'a^108', 'a^14', 'a^82', 'a^8', 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'0.935873954445', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.70459761032', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.90288518309', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 17.41957076659139, 'bad_primes': [11, 31], 'central_character': '3751.598', 'conductor': 3751, 'conductor_radical': 341, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/3751/598'], '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': '1-3751-3751.598-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': '1-3751-3751.598-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 17.41957076659139, 'root_angle': 0.16383379358274558, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.935873954445', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_3751.598', 'Lhash_array': ['dirichlet_L_3751.598'], 'factors': ['1-3751-3751.598-r0-0-0'], 'label': '1-3751-3751.598-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/3751/598'}
Lfunction data - 1-3751-3751.598-r0-0-0