Group GAP4(128,298)

Name: (C8 : C8) : C2
Maximal quotients:GAP4(64,104) GAP4(64,106) GAP4(64,110)
Real polynomial:
x^128-576*x^126+158360*x^124-27709872*x^122+3471547828*x^120-332111111424*x^\
118+25267102739896*x^116-1572018480934128*x^114+81621500006791442*x^112-3591\
481101992580864*x^110+135543163012652254528*x^108-4429763031927930529056*x^1\
06+126347664714041468858892*x^104-3165390552098296398646992*x^102+7002988491\
5745464142784632*x^100-1374308332713909379429010880*x^98+2401445181626685330\
5420773011*x^96-374833110056158398744221685744*x^94+524027847049506641332229\
6479632*x^92-65767621653731833771755428612016*x^90+7424054068387928685802289\
65005132*x^88-7549699706148232917109691343838272*x^86+6925314926948326445417\
6224331310000*x^84-573611266570374935217309873013710144*x^82+429344411152998\
0985994303990034896916*x^80-29056803817462504298126510671168423968*x^78+1778\
67138939247327027088738757326158872*x^76-98494967130016008605949058356114686\
1456*x^74+4933821615104346824922541916497233606624*x^72-22351314592567570974\
513572854795265703408*x^70+91536046621182199867166195660690079772200*x^68-33\
8680977433101422459070612870116550366816*x^66+113125395775110167351124409553\
6569983008709*x^64-3407857858688231198510298851055251365337952*x^62+92481579\
23268703191311458157436234439761816*x^60-22578682225811933119140488417187911\
761246992*x^58+49515665033752108974411866213594586044856912*x^56-97370735053\
359132936726596312352892290035760*x^54+1713572184738565718885347607300867281\
76139144*x^52-269283608744591615656614556598029701376194336*x^50+37695379533\
9583156473138364428695564785468644*x^48-468766772695591255074177262542423539\
809859808*x^46+516306632730884497854434189830087404400232256*x^44-5019858622\
30187425135427446779502713188228256*x^42+42924257849950715915282437226147145\
8789271876*x^40-321486371667073719472433163650682073667886000*x^38+209941199\
685696760228462764306813267124825968*x^36-1189371176885547394582980905415452\
42901609072*x^34+58128097130765269348627949887267777454007291*x^32-243551299\
17404713231184841659813436431112288*x^30+86875755137588755458733760822550998\
02163160*x^28-2617613934883903452390393352279688412267120*x^26+6603216403882\
89685341930948622899274126860*x^24-13804610243562209828652729910211522864784\
0*x^22+23633965958855495660033664255198198913840*x^20-3266483465754948106580\
264260086800048928*x^18+358054526991974307154313872385867902058*x^16-3042298\
2623259697376663946136902156720*x^14+1942761983882688597525558477506487976*x\
^12-89228295254018867621565742266608544*x^10+2757315694324956140318143636311\
580*x^8-51412950965122577796442223504496*x^6+479588606819256006262257348344*\
x^4-1806603747915787946109451872*x^2+2128206292732795339207441
Common denominator of the automorphisms:
1953066818610965768023455819636454189119352845878030431904530106168873075207\
0244909693371116306335003398666903534134602287148189626967823176130554509643\
2452608640074303239047088595324909561552186378334167495061861619709221921704\
8755645634920710150743218196838064662222850004600621207037766912871197738127\
3079883930399143594409355591964628675608121981864984229355797023483242392005\
3886160173379081526086834570156203287845863310326381628070228521937279355498\
0288578999838504588591210488345593260148833299865876500619403421366618344165\
5927096332498176050717420481937959240210962762498145601645185230472600920173\
5924264970270471987171461651103160394507165334464409490415399714407029955030\
327990835200
Complex polynomial:
x^128-384*x^124+103752*x^120-23509440*x^116+4363002468*x^112-588282720192*x^\
108+73628625084048*x^104-6966025763697216*x^100-196516729215945558*x^96+1333\
36943153327574720*x^92+12719429297359550283672*x^88+145200189442059961951104\
0*x^84+202253169831856717335322608*x^80+29637294813411617259160013952*x^76+3\
390952976200574964426311142840*x^72+318124943936318730555172453521600*x^68+2\
6585813592477555715899913049820819*x^64+183849009594604971366825043727879980\
8*x^60+97013976643443102187684351992858565272*x^56+3773659808760521759002426\
182828604259328*x^52+107696677264132512216956188026476982396528*x^48+2233532\
624384912050019613386472304413573504*x^44+3319402802972668503212599981686053\
0528151096*x^40+356313956480653295216490738453633974624284608*x^36+280865797\
9321294172520988784120304776455736778*x^32+426539917655949294334202395962439\
2593778396480*x^28+2239651851575977093726367152525222675856890704*x^24+31491\
3364305677973241546088099876641426293696*x^20+287557853917712011062381828960\
57513449229636*x^16+1464224486311553909384025287999706690861120*x^12+4634096\
0082436684257108278392329241406760*x^8+7169412679664025902855186503444180216\
32*x^4+6750094731200903671876651695884024481
Common denominator of the automorphisms:
4966862898963118212801081879518728723892583966895022162106749517695736387499\
4523073240569906207885920915887566117432456950131242827347251860704145614912\
8389384013267660501370145152537384692507204361808465843964868957738661146780\
3259037481254091741945088244447687788915135186322501987197284614507198462428\
0765435052253972955377683125784981323645975024141905042343006307880713497684\
7205386929276362650119328615286497709178190003816562003783810988215031275420\
946996133888

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.