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        {'Lhash': 'dirichlet_L_351.236', 'a10': [0.5, 0.8660254037844386], 'a2': [-0.984807753012208, 0.17364817766693036], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [0.9396926207859084, -0.3420201433256687], 'a5': [-0.3420201433256687, -0.9396926207859084], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.6427876096865394, 0.766044443118978], 'a8': [-0.8660254037844386, 0.5], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 1.6300371471803727, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]], [13, [1]]], 'bad_primes': [3, 13], 'central_character': '351.236', 'coeff_info': ['x^36 - 1', '0.984807753012208 + 0.173648177666930*I', '\\\\zeta_{36}'], 'conductor': 351, 'conductor_radical': 39, 'conjugate': 'dirichlet_L_351.293', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^17', 0, 'a^34', 'a^25', 0, 'a^5', 'a^15', 0, 'a^6', 'a^23', 0, 0, 'a^22', 0, 'a^32', 'a^0', 0, 'a^3', 'a^23', 0, 'a^4', 'a^4', 0, 'a^14', 0, 0, 'a^3', 'a^26', 0, 'a^19', 'a^13', 0, 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'195.943924106053545048291763201720', '196.36166083791901653092808093684', '197.081583984072171839783778552422', '197.83188745807907262617181227420', '198.576299482959994362753520783260', '199.309151938724533758957197592290', '199.63291231226631926024630812614'], 'prelabel': '1-351-351.236-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6300371471803727, 'root_angle': -0.09669721068239229, 'root_number': '0.821039666253960508920580352668-0.570871146965394583247014144926*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0966972106824', 'prec': 54}, 'spectral_label': 'r0-0', 'st_group': 'mu(36)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.729048946260189735617712806651-0.0780362834945117724030708384985*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.844207115332', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '2.06852920565', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '3.47851691226', 'prec': 44}}
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              lfunc_search •   Show schema
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        {'algebraic': True, 'analytic_conductor': 1.6300371471803727, 'bad_primes': [3, 13], 'central_character': '351.236', 'conductor': 351, 'conductor_radical': 39, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/351/236'], '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': '1-351-351.236-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': '1-351-351.236-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6300371471803727, 'root_angle': -0.09669721068239229, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.844207115332', 'prec': 47}}
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              lfunc_instances •   Show schema
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        {'Lhash': 'dirichlet_L_351.236', 'Lhash_array': ['dirichlet_L_351.236'], 'factors': ['1-351-351.236-r0-0-0'], 'label': '1-351-351.236-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/351/236'}