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'3.49597279815061322255561467576297' - '4.57260614924339785961083986405176' - '5.67961360659597809460663018094690' - '6.55895443587506111554054254621779' - '7.36437350569723422554403866588670' - '8.203183620132552849886121851832760' - '9.136884268012323542494651105478102' - '10.31790327359193048529385548740726' prelabel: 2-75-5.4-c21-0 primitive: true rational: false root_analytic_conductor: 14.477845427248372 root_angle: 0.14758361765043326 root_number: 0.89442719099991587856366946749251049417624734384461028971 + 0.44721359549995793928183473374625524708812367192230514485*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.07379180882521663' prec: 64 spectral_label: c21-0 types: - CMF z1: __RealLiteral__: 0 data: '0.29829578101666617833321259049' prec: 103 z2: __RealLiteral__: 0 data: '1.35881730184474954745301644058' prec: 103 z3: __RealLiteral__: 0 data: '3.49597279815061322255561467576' prec: 103 - - algebraic: true analytic_conductor: 209.6080082152966 bad_primes: - 3 - 5 central_character: '5.4' conductor: 75 conductor_radical: 15 degree: 2 id: 23781645 index: 15 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/75/22/b/a/49/1 is_instance_Artin: false is_instance_BMF: false is_instance_CMF: true is_instance_DIR: false 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: 2-75-5.4-c21-0-15 motivic_weight: 21 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 21 order_of_vanishing: 0 prelabel: 2-75-5.4-c21-0 primitive: true rational: false root_analytic_conductor: 14.477845427248372 root_angle: 0.07379180882521663 self_dual: false spectral_label: c21-0 z1: __RealLiteral__: 0 data: '0.29829578101666617833321259049' prec: 103 - - Lhash: '378134825851325358534229303747' Lhash_array: - '378134825851325358534229303747' id: 24151504 label: 2-75-5.4-c21-0-15 type: CMF url: ModularForm/GL2/Q/holomorphic/75/22/b/a/49/1 label_cols: - label - label - label labels: - 2-75-5.4-c21-0-15 - 2-75-5.4-c21-0-15 - 2-75-5.4-c21-0-15 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-05-07T11:34:40.466863'