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{'Lhash': 'dirichlet_L_149.125', 'a10': [-0.5946331763042866, 0.8039971303669405], 'a2': [0.7780357543184395, 0.6282199972956423], 'a3': [-0.8285096492438421, 0.5599747861375954], 'a4': [0.2106792699957263, 0.9775552389476861], 'a5': [0.0424412031961483, 0.9990989662046815], 'a6': [-0.9963974885425265, -0.08480592447550919], 'a7': [-0.5946331763042866, 0.8039971303669405], 'a8': [-0.4502037448176733, 0.8929258581495685], 'a9': [0.3728564777803086, -0.9278890272965093], 'algebraic': True, 'analytic_conductor': 0.6919530909683064, 'analytic_normalization': 0, 'bad_lfactors': [[149, [1]]], 'bad_primes': [149], 'central_character': '149.125', 'coeff_info': ['x^37 - 1', '0.985615910347708 + 0.169000820321849*I', '\\\\zeta_{37}'], 'conductor': 149, 'conductor_radical': 149, 'conjugate': 'dirichlet_L_149.31', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^4', 'a^15', 'a^8', 'a^9', 'a^19', 'a^13', 'a^12', 'a^30', 'a^13', 'a^29', 'a^23', 'a^27', 'a^17', 'a^24', 'a^16', 'a^15', 'a^34', 'a^3', 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[]], 'index': 0, 'label': '1-149-149.125-r0-0-0', 'leading_term': '0.141108757274943337290377827972+1.08596127909082080689451507230*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/149/125', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [1.0950906725309322, 1.7731123932172235, 2.895817472181137, 4.157907478379373, 5.1513771057530535, 5.506915795020833, 5.016395274874668, 3.7362050169759726, 2.0104312210821145, 0.373853441935622, -0.6497907740701504, -0.77617404919944, -0.10329688705410126, 0.9200652567711578, 1.7086054886057354, 1.8425676990018047, 1.296150542114239, 0.45017143451713665, -0.14181353287602758, -0.11463166759284382, 0.4383863471063576, 0.9775076757850105, 0.8437483195561954, -0.27333656474632945, -2.0259511499184586, -3.497004809191149, -3.695901293194538, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.6919530909683064, 'bad_primes': [149], 'central_character': '149.125', 'conductor': 149, 'conductor_radical': 149, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/149/125'], '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': '1-149-149.125-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': '1-149-149.125-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6919530909683064, 'root_angle': 0.45886957255248145, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '2.90182580055', 'prec': 44}}
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lfunc_instances • Show schema
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{'Lhash': 'dirichlet_L_149.125', 'Lhash_array': ['dirichlet_L_149.125'], 'label': '1-149-149.125-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/149/125'}