Group GAP4(128,2002)

Name: (C2 x C2 x Q16) : C2
Maximal quotients:GAP4(64,226) GAP4(64,255) GAP4(64,259)
Real polynomial:
x^128-544*x^126+142128*x^124-23771328*x^122+2862425560*x^120-264606804160*x^\
118+19553389933584*x^116-1187573043671808*x^114+60490643074821012*x^112-2623\
925666866023520*x^110+98093546653272695584*x^108-3190826438267970567552*x^10\
6+91015484747377592251472*x^104-2291195125179975857539040*x^102+511760485959\
22307928551472*x^100-1018785591156879951843246912*x^98+181452203854697211857\
68139738*x^96-290072871346159984574925475264*x^94+41735797574607215254039446\
35792*x^92-54172418955785172346569226117056*x^90+635580550233560064247827585\
254760*x^88-6751549731785278414411962408240096*x^86+650237787421896655958945\
76605400288*x^84-568410158985936740935861850562249408*x^82+45139481683206813\
35483300186487670576*x^80-32587220915877564232377144885580133472*x^78+213962\
454696054171784427650143715744944*x^76-1278049911502306759176770079699708970\
944*x^74+6945745774242935609606187166000838197704*x^72-343410982574846332616\
94873154682000847744*x^70+154426203947646538830488641168303647083184*x^68-63\
1322067906426581061896098823322093927936*x^66+234498322302271937677729261833\
8241877028387*x^64-7907619953802644998368056391929979477086912*x^62+24185133\
524241016948249733626500291989049168*x^60-6701087522821772841532160703800660\
0231925696*x^58+167976281404403749521139771871721196878471848*x^56-380345066\
959534561321680131778944786878890080*x^54+7765322502685847661401819449420272\
70554100320*x^52-1426637773855866641658763465837408229628673728*x^50+2353139\
022238918858397380358852663995209180336*x^48-3475706092654270534494548293562\
149485825296608*x^46+4583975121830441218139800903880548650599226352*x^44-538\
0581583994161236832378067184375857609816256*x^42+560023990866854392603439282\
0429420276396571016*x^40-5147143902995326488536654989574461543875190656*x^38\
+4157683022826894897958588863836087935567211504*x^36-29356707806722865767377\
23507921662060970495232*x^34+1800605043710738474955721528374883749929283994*\
x^32-952409968790414699768912319155674307188359200*x^30+43073167188903965899\
2266374739040371160055200*x^28-164871145980588194866612818352416297236879360\
*x^26+52760208771224873642369970570861009484729296*x^24-13905058928321766043\
821848854046354002206496*x^22+2962403104634992878800258014660774748951056*x^\
20-498295256470859427947036084373292907398848*x^18+6420067170623143841323284\
8815137576067988*x^16-6089312657480566360646367874744224042880*x^14+40324264\
0079153469921852034317206392592*x^12-17336376088217117541931593903993490240*\
x^10+435456802704769532382080372275670136*x^8-550681202658524929850291314744\
1952*x^6+33879626469015691169005171286592*x^4-94581073102513094528919188928*\
x^2+92223238729605607437142081
Common denominator of the automorphisms:
8713341573695543536188661384529720438044181629723383611531783860241185556316\
6525739482480908749867166289696444580682578232782889917653994435604589960735\
8127543766719444758047434783119965654865258063649240792328744152289109163827\
7189870739184173147752526047764390571592736180327766424414130032108756520889\
2130435331135451824252662446181975605924939313452567974473490828057620409151\
4276091847224467954693621270345882473870942532487658621069650031574863721388\
8110820684597803551025655597771625808423671733323701516759921325053790215609\
828750166624936889253326129198530560
Complex polynomial:
x^128+165760*x^120+3123859200*x^112+34626185216000*x^104+259253947950080000*\
x^96+685541269767782400000*x^88+544399456901988352000000*x^80+41619574527788\
0565760000000*x^72+120648608855427140812800000000*x^64+231190173281928494448\
64000000000*x^56+2884665136053636479057920000000000*x^48+2809884497838642623\
9385600000000000*x^40+641596857699052266979328000000000000*x^32+512660404977\
00696227840000000000000*x^24+330154937377043251200000000000000*x^16+42006498\
1417984000000000000000*x^8+42949672960000000000000000
Common denominator of the automorphisms:
2924600411978732051509585941366934847717797346143850246185689815133097820160\
0000000000000000000

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.