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        {'Lhash': 'dirichlet_L_1156.55', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [-0.8951632913550623, 0.44573835577653825], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [0.5264321628773558, 0.8502171357296141], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.7980172272802395, 0.6026346363792564], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [0.6026346363792564, -0.7980172272802395], 'algebraic': True, 'analytic_conductor': 124.22945306258653, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [17, [1]]], 'bad_primes': [2, 17], 'central_character': '1156.55', 'coeff_info': ['x^68 - 1', '0.995734176295034 + 0.0922683594633020*I', '\\\\zeta_{68}'], 'conductor': 1156, 'conductor_radical': 34, 'conjugate': 'dirichlet_L_1156.1135', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^97', 0, 'a^11', 0, 'a^75', 0, 'a^58', 0, 'a^55', 0, 'a^40', 0, 'a^40', 0, 0, 0, 'a^100', 0, 'a^36', 0, 'a^75', 0, 'a^22', 0, 'a^87', 0, 'a^55', 0, 'a^57', 0, 'a^16', 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'189.132254849003565985387578413337', '189.43005221531787736398824479047', '189.9221103864661470269809732105', '190.69338387512762421455079355957', '191.51298707680487652445501414460', '192.145327077047867445519987275571', '192.73409346775983442137624507491', '193.26925169938371061561881451567', '193.86711661762567020570115692605', '194.32881036964835403198154751203', '194.9535860950851181020027323796', '195.359625418104576004885465496215', '196.34921435681010134688929454558', '196.55783735241640371682954892998', '197.68814162613036480998230996407', '198.20041889341981681907494663882', '198.46190025511060252636680044780', '199.20058222503104357874970292053', '199.79535466147754101509203367619'], 'prelabel': '1-34e2-1156.55-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 124.22945306258653, 'root_angle': 0.09515570934256055, 'root_number': '0.826530263893994932159877651220+0.562892283538620821803946284844*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0951557093426', 'prec': 50}, 'spectral_label': 'r1-0', 'st_group': 'mu(68)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.961087441963565611979411039093+0.231092605688600686242248963401*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.61740471236', 'prec': 44}, 'z2': {'__RealLiteral__': 0, 'data': '1.91467533298', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.9079500799', 'prec': 40}}
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              lfunc_search •   Show schema
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        {'algebraic': True, 'analytic_conductor': 124.22945306258653, 'bad_primes': [2, 17], 'central_character': '1156.55', 'conductor': 1156, 'conductor_radical': 34, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/1156/55'], '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': '1-34e2-1156.55-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': '1-34e2-1156.55-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 124.22945306258653, 'root_angle': 0.09515570934256055, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.61740471236', 'prec': 44}}
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              lfunc_instances •   Show schema
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        {'Lhash': 'dirichlet_L_1156.55', 'Lhash_array': ['dirichlet_L_1156.55'], 'factors': ['1-34e2-1156.55-r1-0-0'], 'label': '1-34e2-1156.55-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/1156/55'}