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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_2183.110', 'a10': [0.6473862847818277, -0.7621620551276365], 'a2': [0.9476531711828025, 0.31930153013597995], 'a3': [-0.8568571761675893, -0.5155538571770217], 'a4': [0.7960930657056438, 0.6051742151937651], 'a5': [0.37013815533991434, -0.9289767198167914], 'a6': [-0.6473862847818277, -0.7621620551276365], 'a7': [0.907575419670957, -0.4198891015602646], 'a8': [0.5611870653623824, 0.8276889981568906], 'a9': [0.46840844069979015, 0.8835120444460229], 'algebraic': True, 'analytic_conductor': 10.137809379757133, 'analytic_normalization': 0, 'bad_lfactors': [[37, [1]], [59, [1]]], 'bad_primes': [37, 59], 'central_character': '2183.110', 'coeff_info': ['x^58 - 1', '0.994137957154360 + 0.108119018423942*I', '\\\\zeta_{58}'], 'conductor': 2183, 'conductor_radical': 2183, 'conjugate': 'dirichlet_L_2183.258', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^3', 'a^34', 'a^6', 'a^47', 'a^37', 'a^54', 'a^9', 'a^10', 'a^50', 'a^46', 'a^40', 'a^19', 'a^57', 'a^23', 'a^12', 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[[0], []], 'index': 0, 'label': '1-2183-2183.110-r0-0-0', 'leading_term': '1.66446902481889976553584898695-1.63990688372536114053737613912*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/2183/110', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.3125', 'prec': 20}, 'plot_values': [2.3366111618905276, 1.3225856008395565, -0.2383649808060386, -1.9097010125560387, -2.421655331805612, -1.3104399569107699, 0.2604322514603014, 0.36224607154478755, -1.802062954579515, -4.832516549432908, -6.218526707942603, -4.729563677633477, -1.6672274392794044, 0.4710802563603468, 0.5488988774777307, -0.28105596087205104, -0.29599734222288987, 0.5994176223079669, 0.976219516263792, 0.09348150865090663, -0.8539368477725577, -0.36054342350812785, 0.9964459254731082, 0.9598920154941322, -1.250613173656908, -3.2726308420992245, 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'r0-0', 'st_group': 'mu(58)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '1.52995858564202142114176351398-0.391779344390396329140253744390*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.583510836553', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.8111782236', 'prec': 40}, 'z3': {'__RealLiteral__': 0, 'data': '2.26862634538', 'prec': 44}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 10.137809379757133, 'bad_primes': [37, 59], 'central_character': '2183.110', 'conductor': 2183, 'conductor_radical': 2183, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/2183/110'], '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': '1-2183-2183.110-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': '1-2183-2183.110-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.137809379757133, 'root_angle': -0.24763397731926814, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.583510836553', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_2183.110', 'Lhash_array': ['dirichlet_L_2183.110'], 'factors': ['1-2183-2183.110-r0-0-0'], 'label': '1-2183-2183.110-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/2183/110'}
Lfunction data - 1-2183-2183.110-r0-0-0