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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_151.110', 'a10': [0.7289686274214116, -0.6845471059286887], 'a2': [0.30901699437494745, -0.9510565162951535], 'a3': [0.9685831611286311, 0.2486898871648548], 'a4': [-0.8090169943749475, -0.5877852522924731], 'a5': [0.8763066800438636, 0.48175367410171527], 'a6': [0.5358267949789967, -0.8443279255020151], 'a7': [-0.18738131458572463, 0.9822872507286887], 'a8': [-0.8090169943749475, 0.5877852522924731], 'a9': [0.8763066800438636, 0.48175367410171527], 'algebraic': True, 'analytic_conductor': 0.701241051920901, 'analytic_normalization': 0, 'bad_lfactors': [[151, [1]]], 'bad_primes': [151], 'central_character': '151.110', 'coeff_info': ['x^25 - 1', '0.968583161128631 + 0.248689887164855*I', '\\\\zeta_{25}'], 'conductor': 151, 'conductor_radical': 151, 'conjugate': 'dirichlet_L_151.81', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^20', 'a^1', 'a^15', 'a^2', 'a^21', 'a^7', 'a^10', 'a^2', 'a^22', 'a^24', 'a^16', 'a^11', 'a^2', 'a^3', 'a^5', 'a^18', 'a^22', 'a^15', 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0, 'label': '1-151-151.110-r0-0-0', 'leading_term': '1.66626683132347360727525942884-0.528694699292403519811419792632*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/151/110', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [1.7481313561139085, 1.929230660484214, 2.2158298510767924, 2.2094232294762093, 1.7905655582729867, 1.0768826114434047, 0.3395999463557819, -0.11872313013503911, -0.1128161787202433, 0.30996834791887634, 0.8575317093158001, 1.1173896817558904, 0.7794116382403619, -0.15118389769535678, -1.2816937639420527, -1.979163205476518, -1.6997678943951122, -0.3415259288423299, 1.589487338459164, 3.1398542545334935, 3.364096988706495, 1.8547628728985026, -0.9567443516063114, -3.9399608514463216, -5.816373456699952, -5.835562390817604, -4.182706713364357, 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'unitary', 'types': ['DIR'], 'values': [[1, '1.52980445988378220344393987487-0.433248381615944963970479544978*I']], 'z1': {'__RealLiteral__': 0, 'data': '2.07372194511', 'prec': 44}, 'z2': {'__RealLiteral__': 0, 'data': '2.61086455348', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '4.01985210133', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 0.701241051920901, 'bad_primes': [151], 'central_character': '151.110', 'conductor': 151, 'conductor_radical': 151, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/151/110'], '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': '1-151-151.110-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': '1-151-151.110-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.701241051920901, 'root_angle': -0.09779925183444557, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.07372194511', 'prec': 44}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_151.110', 'Lhash_array': ['dirichlet_L_151.110'], 'label': '1-151-151.110-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/151/110'}
Lfunction data - 1-151-151.110-r0-0-0