Group GAP4(140,4)

x^140+x^139-139*x^138-138*x^137+9453*x^136+9316*x^135-419220*x^134-410040*x^\
133+13633830*x^132+13232835*x^131-346700277*x^130-333859526*x^129+7177979809\
*x^128+6856577728*x^127-124397910208*x^126-117850651776*x^125+1841416434000*\
x^124+1729815438000*x^123-23640810986000*x^122-22016633132000*x^121+26640126\
0897200*x^120+245908856212800*x^119-2660286717211200*x^118-2433440563030400*\
x^117+23726045489546400*x^116+21501728724901425*x^115-190207600258743375*x^1\
14-170737530940919250*x^113+1378095785451705375*x^112+1224974031512627000*x^\
111-9064807833193439800*x^110-7977030893210227024*x^109+54343522959994671601\
*x^108+47331455481285681717*x^107-297909749205739290807*x^106-25673523102283\
2234354*x^105+1497622180966521367065*x^104+1276661531315723132580*x^103-6920\
849353974709613460*x^102-5834104414094383310520*x^101+2946222729117663571812\
6*x^100+24551856075980529765105*x^99-115744464358193926035495*x^98-953189706\
47924409676290*x^97+420270006947666715390915*x^96+341914581923525463368880*x\
^95-1412255881858039957393200*x^94-1134632930723553470042400*x^93+4396702606\
553769696414300*x^92+3487039998301265621294100*x^91-126928255938166068615105\
24*x^90-9933515682117344500312584*x^89+34003188296478602327993076*x^88+26248\
075176229096533889392*x^87-84577131123404866609199152*x^86-64368436076219632\
994611744*x^85+195404180945666743019357080*x^84+146553135709250057264517810*\
x^83-419445181512681198377757870*x^82-309860404360719443846631940*x^81+83662\
3091773942498385906238*x^80+608453157653776362462477264*x^79-155057417595639\
7826920506576*x^78-1109585190133936059631188192*x^77+26699393637597836434875\
46587*x^76+1878846218942069971343088339*x^75-4270105043050159025779746225*x^\
74-2953156758744969793529917950*x^73+6340601276128905733167176775*x^72+43068\
23508313973705547516300*x^71-8736699116865489516967818780*x^70-5824466077910\
326344645212520*x^69+11163559982661458827236657330*x^68+72992507578940307716\
54737485*x^67-13217562183213515181104524635*x^66-846950586497176700925144297\
0*x^65+14487312663767496200035362975*x^64+9090078534128625066688855200*x^63-\
14683973016669317415420458400*x^62-9013924030034630492634340800*x^61+1374623\
4145802811501267369720*x^60+8247740487481686900760421832*x^59-11868699725888\
281149874753368*x^58-6953379637389094006997330256*x^57+943672950788519900949\
6376776*x^56+5392416861648685148283643872*x^55-6897277381178550771060474720*\
x^54-3839721428697337542652223040*x^53+4625118993658156585467450480*x^52+250\
5272788231501483794869010*x^51-2839309159995701681634184878*x^50-14943732421\
03000885070623620*x^49+1591832366587979203662186030*x^48+8128505701725851252\
74307760*x^47-812850570172585125274307760*x^46-402055120730525975942130720*x\
^45+376926675684868102445747550*x^44+180269279675371701169705350*x^43-158195\
490327367003067292450*x^42-73013303228015539877211900*x^41+59870908646972742\
699313758*x^40+26609292731987885644139448*x^39-20348282677402500786694872*x^\
38-8688030806081966628027024*x^37+6181868073558322408403844*x^36+25289460300\
92040985256118*x^35-1670058699117385556301210*x^34-652666618045874815106220*\
x^33+398851822139145720342690*x^32+148409980330844919197280*x^31-83649261641\
021681729376*x^30-29523268814478240610368*x^29+15288835636069088887512*x^28+\
5096278545356362962504*x^27-2414026679379329824344*x^26-75620112848027199316\
8*x^25+325948762275979307400*x^24+95399637739311016800*x^23-3718968928820598\
9600*x^22-10100903263463355200*x^21+3535316142212174320*x^20+883829035553043\
580*x^19-275291011073898820*x^18-62724534168736440*x^17+17198662594653540*x^\
16+3527930788646880*x^15-839983521106400*x^14-152724276564800*x^13+310221186\
77225*x^12+4898229264825*x^11-828931106355*x^10-110524147514*x^9+15071474661\
*x^8+1629348612*x^7-170230452*x^6-13991544*x^5+1028790*x^4+57155*x^3-2485*x^\
2-70*x+1

1

x^140-x^139+5*x^138-6*x^137+20*x^136-27*x^135+75*x^134-110*x^133+275*x^132-4\
29*x^131+1001*x^130-1637*x^129+3639*x^128-6172*x^127+13243*x^126-23104*x^125\
+48280*x^124-86090*x^123+176341*x^122-319792*x^121+645150*x^120-1185305*x^11\
9+2363596*x^118-4386331*x^117+8669142*x^116-16212913*x^115+31825005*x^114-59\
873834*x^113+116914020*x^112-62694343*x^111+271466819*x^110-23705634*x^109+6\
30621655*x^108+160125275*x^107+1539538329*x^106+792477819*x^105+3977891991*x\
^104+2699636792*x^103+10810624367*x^102+8004626988*x^101+30610627064*x^100+2\
1762951622*x^99+89561927705*x^98+54497254644*x^97+269202802862*x^96+12157251\
6899*x^95+828281723744*x^94+212563060801*x^93+2603175721642*x^92+98001339235\
*x^91+8345973041605*x^90-1610411425886*x^89+27266217384284*x^88-115671237023\
60*x^87+90664838497788*x^86-58649419918323*x^85+306419162075429*x^84-2615871\
72532561*x^83+473411546083589*x^82-515219328730365*x^81+763495929159074*x^80\
-925796250307513*x^79+1275474515034508*x^78-1615925288679832*x^77+2165166139\
148468*x^76-2788550927000807*x^75+3700812322759172*x^74-4787216262312008*x^7\
3+6345239643580703*x^72-8191181082697266*x^71+10896604828807345*x^70-1396477\
3764677448*x^69+18729147163384929*x^68-23670124131161591*x^67+32193758086944\
194*x^66-39689096656210772*x^65+55231088885025436*x^64-65124976018936098*x^6\
3+94070891460734535*x^62-102003996999714497*x^61+156908464786978807*x^60-142\
567939231850332*x^59+247102109017354562*x^58-134707372045410513*x^57+3266905\
93058055841*x^56+146581598720937982*x^55+157320269554840489*x^54+12058931922\
4182845*x^53+103072148029236047*x^52+84810548311147013*x^51+7070359409288626\
1*x^50+58666816012020908*x^49+48773441981074189*x^48+40500811382991140*x^47+\
33672073987562544*x^46+27947455358675598*x^45+23256132785304523*x^44+1927403\
4482037892*x^43+16075829389528222*x^42+13274266830947577*x^41+11135300458689\
820*x^40+9111018802266955*x^39+7751460874712498*x^38+6199885828053829*x^37+5\
458845870579991*x^36+4126723200282134*x^35+3942916339794868*x^34+25893957141\
99656*x^33+2986015806032416*x^32+1361300598724419*x^31+2395477548337475*x^30\
+296668782263613*x^29+1821700074962640*x^28-518509903101436*x^27+14758330600\
5991*x^26-42006588652129*x^25+11956321740905*x^24-3403123989780*x^23+9686300\
80476*x^22-275700866485*x^21+78472648463*x^20-22335644540*x^19+6357387289*x^\
18-1809501081*x^17+515037713*x^16-146595013*x^15+41725295*x^14-11876254*x^13\
+3380337*x^12-962142*x^11+273856*x^10-77946*x^9+22187*x^8-6314*x^7+1798*x^6-\
511*x^5+146*x^4-41*x^3+12*x^2-3*x+1

7652458130626939574904160847488118418189857609447325239