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'189.33983012939115681692474659092' - '189.9293172410060362618448332318' - '190.20862715005094353817551330927' - '191.06271739830622178600578911578' - '191.93503470310546051067825119064' - '192.344015148399624429690423849338' - '193.072181175944035231112427225444' - '193.92922293181849075718597416875' - '194.409042872904118958148000930735' - '195.20733457431276400428568330748' - '196.05095581442557418258315793220' - '196.51420821149322698587600416135' - '197.13286614999510312936977201817' - '197.761068566447074906334036956829' - '198.05333128378501158557548231188' - '199.0982568429965349652473197515' - '199.51753320390794117402011744937' - '199.876907945600217484612903450292' prelabel: 1-475-475.116-r1-0 primitive: true rational: false root_analytic_conductor: 51.04583927744689 root_angle: -0.7473744080055851 root_number: -0.701250193311234657750780137384-0.712915258905962836364428949043*I self_dual: false sign_arg: __RealLiteral__: 0 data: '-0.373687204003' prec: 50 spectral_label: r1-0 st_group: mu(90) symmetry_type: unitary types: - DIR values: - - 1 - 0.649758116869730589002115167957+0.951909090383827992331331692567*I z1: __RealLiteral__: 0 data: '1.5951852355' prec: 40 z2: __RealLiteral__: 0 data: '3.38875926425' prec: 44 z3: __RealLiteral__: 0 data: '3.84986246311' prec: 44 - - algebraic: true analytic_conductor: 51.04583927744689 bad_primes: - 5 - 19 central_character: '475.116' conductor: 475 conductor_radical: 95 degree: 1 id: 41611 index: 0 instance_types: - DIR instance_urls: - Character/Dirichlet/475/116 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: 1-475-475.116-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: 1-475-475.116-r1-0 primitive: true rational: false root_analytic_conductor: 51.04583927744689 root_angle: -0.37368720400279254 self_dual: false spectral_label: r1-0 z1: __RealLiteral__: 0 data: '1.5951852355' prec: 40 - - Lhash: dirichlet_L_475.116 Lhash_array: - dirichlet_L_475.116 id: 1823083 label: 1-475-475.116-r1-0-0 type: DIR url: Character/Dirichlet/475/116 label_cols: - label - label - label labels: - 1-475-475.116-r1-0-0 - 1-475-475.116-r1-0-0 - 1-475-475.116-r1-0-0 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-24T09:54:06.748529'