data: - - Lhash: '1513154584543683289298208793752' a10: - 98.03199590504823 - -169.79639767492768 a2: - -2.723110997362451 - -4.716566602081325 a3: - -4.5 - 7.794228634059948 a4: - 1.1693329920873534 - -2.025344153261832 a5: - 18.0 - 31.176914536239792 a6: - 49.01599795252412 - 0 a7: - 0 - 0 a8: - -187.01599795252412 - 0 a9: - -40.5 - -70.14805770653953 accuracy: 100 algebraic: true analytic_conductor: 23.57642151250816 analytic_normalization: __RealLiteral__: 0 data: '2.5' prec: 10 bad_lfactors: - - 3 - - - 1.0 - 0 - - 4.5 - -7.794228634059948 - - 7 - - - 1.0 - 0 - - 0 - 0 bad_primes: - 3 - 7 central_character: '147.67' coefficient_field: CDF conductor: 147 conductor_radical: 21 conjugate: '624250517694990872624087618832' degree: 2 euler_factors: - - - 1.0 - 0 - - 2.723110997362451 - 4.716566602081325 - - -16.0 - 27.712812921102035 - - - 1.0 - 0 - - 4.5 - -7.794228634059948 - - - 1.0 - 0 - - -18.0 - -31.176914536239792 - - -1562.5 - 2706.329386826371 - - - 1.0 - 0 - - 0 - 0 - - - 1.0 - 0 - - 92.2151120211004 - -159.7212592462014 - - -80525.5 - -139474.25730488764 - - - 1.0 - 0 - - 147.87201637980704 - 0 - - 371293.0 - 0 - - - 1.0 - 0 - - -984.1919754302894 - 1704.6705058468415 - - -709928.5 - -1229632.2317411618 - - - 1.0 - 0 - - -946.2559672403859 - -1638.9634122255795 - - -1238049.5 - 2144364.636285245 - - - 1.0 - 0 - - 68.49421585229726 - 118.63546188076847 - - -3218171.5 - 5574036.5454701455 - - - 1.0 - 0 - - 1259.5820766239374 - 0 - - 20511149.0 - 0 - - - 1.0 - 0 - - -4484.511934480772 - 7767.402517669689 - - -14314575.5 - -24793572.054780666 - - - 1.0 - 0 - - 6448.605213214749 - 11169.311867241477 - - -34671978.5 - 60053628.36093575 - - - 1.0 - 0 - - 8975.61604913942 - 0 - - 115856201.0 - 0 - - - 1.0 - 0 - - -13538.932787339765 - 0 - - 147008443.0 - 0 - - - 1.0 - 0 - - 10023.07160688463 - 17360.46927102521 - - -114672503.5 - 198618602.2931199 - - - 1.0 - 0 - - 4667.163420877142 - -8083.764172186178 - - -209097746.5 - -362167920.6861574 - - - 1.0 - 0 - - -4433.232098278842 - 7678.583235964137 - - -357462149.5 - -619142604.7167817 - - - 1.0 - 0 - - 20574.15946765627 - 35635.48952100491 - - -422298150.5 - 731441852.6083683 - - - 1.0 - 0 - - -27675.759262908683 - 47935.82118140282 - - -675062553.5 - -1169242640.9491835 - - - 1.0 - 0 - - 63866.75853053795 - 0 - - 1804229351.0 - 0 - - - 1.0 - 0 - - -20649.66378706251 - 35766.26683840742 - - -1036535796.5 - -1795332663.4018745 - - - 1.0 - 0 - - 8481.759262908683 - 14690.83798092579 - - -1538528199.5 - 2664809010.4114656 - - - 1.0 - 0 - - -101692.89383786547 - 0 - - 3939040643.0 - 0 - - - 1.0 - 0 - - -43551.26358231492 - -75433.00125839359 - - -2792029724.5 - 4835937339.076535 - - - 1.0 - 0 - - -118106.81154469248 - 0 - - 8587340257.0 - 0 - - - 1.0 - 0 - - -11116.36667323563 - 19254.111873609527 - - -5255050250.5 - -9102014030.193556 - - - 1.0 - 0 - - -67965.27983620192 - -117719.31782693829 - - -5796370371.5 - 10039607982.924889 - - - 1.0 - 0 - - 58813.10016143778 - 101867.27763024757 - - -7012758653.5 - 12146454289.080307 - - - 1.0 - 0 - - -17332.119344807717 - 30020.11130805437 - - -7693119774.5 - -13324874318.146824 - - - 1.0 - 0 - - 26584.467126040614 - 0 - - 18424351793.0 - 0 gamma_factors: - [] - - 0 group: GL2 id: 23712861 index: 16 label: 2-147-7.4-c5-0-16 leading_term: '1.074914322364639828852689753354482176878050532005329784' load_key: CMFs-workshop motivic_weight: 5 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 5 order_of_vanishing: 0 origin: ModularForm/GL2/Q/holomorphic/147/6/e/m/67/1 plot_delta: __RealLiteral__: 0 data: '0.07421875' prec: 34 plot_values: - 1.0749143223646398 - 1.1899019681953211 - 1.2856417051748037 - 1.3601582391902518 - 1.411707444337035 - 1.4388003007140193 - 1.4402268183501596 - 1.4150798281555634 - 1.3627783984583814 - 1.2830905101692256 - 1.1761544997905629 - 1.0424986623640933 - 0.8830583010362982 - 0.6991894211266149 - 0.4926781990902308 - 0.26574531493194814 - 0.021044224356326476 - -0.23834753242204837 - -0.5089448320691798 - -0.7868800329233606 - -1.0679372243279024 - -1.3475961112611974 - -1.621085777525851 - -1.8834483285951784 - -2.1296121421278804 - -2.3544741552439388 - -2.5529902993609053 - -2.7202728635041877 - -2.8516932345636525 - -2.9429881381272085 - -2.9903671973647716 - -2.9906193517282853 - -2.9412154441130993 - -2.8404041067403787 - -2.687297964114184 - -2.481947136870859 - -2.225397082728571 - -1.9197279577911888 - -1.5680729285793973 - -1.1746132149934836 - -0.7445480964048005 - -0.28403866313522275 - 0.19987526417199147 - 0.6993849061895372 - 1.2060480652839278 - 1.7109486882293428 - 2.204877860868545 - 2.6785328066790055 - 3.1227296584821564 - 3.528625034971926 - 3.8879408122362835 - 4.193185965499883 - 4.437868996840856 - 4.6166942867160135 - 4.725735732757987 - 4.762581285144752 - 4.726442464058099 - 4.6182236540075525 - 4.440546906433704 - 4.19772913144798 - 3.895709898060679 - 3.541929556926349 - 3.1451590089500616 - 2.715284117663281 - 2.2630494470992613 - 1.7997676389924877 - 1.3370022595019677 - 0.8862332815970521 - 0.4585154618331449 - 0.06414066105658339 - -0.2876844035853021 - -0.5891334443767693 - -0.8340177751057389 - -1.017995034984864 - -1.1387203820407894 - -1.1959327410904486 - -1.1914707362768509 - -1.1292153042226436 - -1.014958597904282 - -0.8562015646814318 - -0.661885413033572 - -0.4420649604653532 - -0.2075344632854901 - 0.030581149790699414 - 0.2612547972225795 - 0.4739892574417412 - 0.6592355913044718 - 0.8087807302213819 - 0.9160875345485 - 0.9765719024305489 - 0.9878034994970742 - 0.9496193400832805 - 0.8641427040857101 - 0.7357036121359622 - 0.57066116904933 - 0.3771323608936823 - 0.16463617547109133 - -0.056333981060863236 - -0.27479287137109853 - -0.4797811550351084 - -0.6608959707940016 - -0.8088105526425432 - -0.9157585350870228 - -0.9759591673717353 - -0.985961343132251 - -0.9448871436712241 - -0.854559419764724 - -0.7195026754829915 - -0.5468119943727648 - -0.34589074462644115 - -0.12806405911466717 - 0.0939186755460783 - 0.30647316870018354 - 0.4958369652582319 - 0.6487647391454701 - 0.7532300872123961 - 0.7990999407734447 - 0.7787474327243605 - 0.6875704245439214 - 0.5243859289842133 - 0.29167529925448615 - -0.0043388505353542176 - -0.35379570101270835 - -0.7434827036348687 - -1.1573000854196573 - -1.576888991223171 - -1.9824001504589222 - -2.353371960235931 - -2.6696800459738568 - -2.9125150945041063 - -3.065342395764314 - -3.1147953402885604 - -3.051456266316757 - -2.870481586879791 - -2.572033988124078 - -2.1614924869888976 - -1.6494209611628412 - -1.0512869993444525 - -0.38693505404810286 - 0.3201696700711285 - 1.0438980191234342 - 1.7565746215156148 - 2.4302071677776804 - 3.0377703792771507 - 3.5544829464846766 - 3.9590138408097877 - 4.234555733348124 - 4.369707851716539 - 4.3591183639911675 - 4.2038470149127605 - 3.9114218063414037 - 3.495578414527706 - 2.975687050663226 - 2.3758877881172986 - 1.72397114001079 - 1.0500550100397965 - 0.38512123623891253 - -0.2405159299630402 - -0.7987315160088398 - -1.2650222436996237 - -1.6197728825233078 - -1.8492866325137973 - -1.9465204835737768 - -1.9114808662981904 - -1.7512521129658287 - -1.4796494270913836 - -1.1165082158002073 - -0.6866416821855369 - -0.2185173850273813 - 0.257280036782339 - 0.7097196001192085 - 1.1090387696922692 - 1.4284086482123737 - 1.6454568013235487 - 1.7435610874302843 - 1.7128390262673705 - 1.5507729290370367 - 1.2624304452780915 - 0.8602623351616125 - 0.36348294042110185 - -0.20293733032686076 - -0.8096155462936179 - -1.4243637847435722 - -2.0139722984615696 - -2.5460684968957845 - -2.9909460545656668 - -3.323258679809059 - -3.5234794969594208 - -3.579039364774551 - -3.4850751581977084 - -3.2447411269306987 - -2.8690616720167035 - -2.37633078953459 - -1.7910904210242444 - -1.1427453843163002 - -0.46389485585073653 - 0.21152188519996568 - 0.8501557297744332 - 1.4211388639853233 - 1.897823152468073 - 2.259260788045503 - 2.4913374238313595 - 2.5874889674145307 - 2.5489587031942404 - 2.3845798735879478 - 2.110098527559603 - 1.7470804586204607 - 1.3214725338606754 - 0.8619109187894423 - 0.39788513277929444 - -0.04212362184225567 - -0.43240954422619865 - -0.7516004164866055 - -0.9839061406499786 - -1.119977247333731 - -1.1573188711010944 - -1.1002354320226935 - -0.9593129278446388 - -0.7504772144699801 - -0.4936957951366446 - -0.2114154290220326 - 0.0731534558268032 - 0.33778338169494787 - 0.5628825169860115 - 0.7329344175668624 - 0.8376201560593998 - 0.8725401426496975 - 0.8394810806014067 - 0.7462059448437028 - 0.6057794057041326 - 0.43547532761333596 - 0.25534440731330293 - 0.08654636974506832 - -0.05042958965888371 - -0.13752178607126506 - -0.1606950748761723 - -0.11125541180920129 - 0.01322821417171336 - 0.208475862252973 - 0.46357066914796624 - 0.7615648829230606 - 1.080588297279311 - 1.3953908838816147 - 1.6792167338214656 - 1.905878293891459 - 2.0518805699625258 - 2.0984361461055023 - 2.0332144996815815 - 1.8516833408418976 - 1.5579248904876772 - 1.1648446371101713 - 0.693731949296198 - 0.17317814141665874 - -0.3625950384890372 - -0.8758984263970602 - -1.3280924197342385 - -1.6822895818781207 positive_zeros: - '1.19366849530245403822619531517954' - '3.08689152358515393756691772641023' - '5.13393218386062056853210059318243' - '6.15056555912752834632810224664915' - '7.18036492138922651352710120274938' - '8.206762316558817103292743599757071' - '8.979475802117528928242096572000304' - '10.28318524510038007904870296454073' - '11.62303347943035976234938067510470' - '12.50269142519634616817399501586790' prelabel: 2-147-7.4-c5-0 primitive: true rational: false root_analytic_conductor: 4.855555736731704 root_angle: 0.6263207605587745 root_number: -0.3865135727591552881869185769990697126707082293252108640 + 0.922283718859306965671513774586725112483883643078436164*I self_dual: false sign_arg: __RealLiteral__: 0 data: '0.31316038027938725' prec: 64 spectral_label: c5-0 types: - CMF z1: __RealLiteral__: 0 data: '1.19366849530245403822619531518' prec: 103 z2: __RealLiteral__: 0 data: '3.08689152358515393756691772641' prec: 103 z3: __RealLiteral__: 0 data: '5.13393218386062056853210059318' prec: 103 - - algebraic: true analytic_conductor: 23.57642151250816 bad_primes: - 3 - 7 central_character: '7.4' conductor: 147 conductor_radical: 21 degree: 2 id: 23712861 index: 16 instance_types: - CMF instance_urls: - ModularForm/GL2/Q/holomorphic/147/6/e/m/67/1 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: 2-147-7.4-c5-0-16 motivic_weight: 5 mu_imag: [] mu_real: [] nu_imag: - __RealLiteral__: 0 data: '0.0' prec: 10 nu_real_doubled: - 5 order_of_vanishing: 0 prelabel: 2-147-7.4-c5-0 primitive: true rational: false root_analytic_conductor: 4.855555736731704 root_angle: 0.31316038027938725 self_dual: false spectral_label: c5-0 z1: __RealLiteral__: 0 data: '1.19366849530245403822619531518' prec: 103 - - Lhash: '1513154584543683289298208793752' Lhash_array: - '1513154584543683289298208793752' id: 24081353 label: 2-147-7.4-c5-0-16 type: CMF url: ModularForm/GL2/Q/holomorphic/147/6/e/m/67/1 label_cols: - label - label - label labels: - 2-147-7.4-c5-0-16 - 2-147-7.4-c5-0-16 - 2-147-7.4-c5-0-16 tables: - lfunc_lfunctions - lfunc_search - lfunc_instances timestamp: '2024-04-25T16:40:54.466694'