Group GAP4(88,8)

Name: C44 x C2
Maximal quotients:GAP4(8,2) GAP4(44,2) GAP4(44,4)
Real polynomial:
x^88+x^87-87*x^86-87*x^85+3654*x^84+3653*x^83-98688*x^82-98605*x^81+1926262*\
x^80+1922941*x^79-28952315*x^78-28866994*x^77+348662314*x^76+347080657*x^75-\
3456178660*x^74-3433638294*x^73+28751726346*x^72+28494807153*x^71-2036425838\
27*x^70-201236622305*x^69+1241630163449*x^68+1222759202384*x^67-657279235541\
3*x^66-6447039577369*x^65+30412763616339*x^64+29693015526200*x^63-1236525859\
30215*x^62-120084538715679*x^61+443596603432772*x^60+428175776812556*x^59-14\
08637101851905*x^58-1350235870335794*x^57+3968988960191050*x^56+377441811766\
3115*x^55-9939777409833140*x^54-9367824984025609*x^53+22149882798284809*x^52\
+20663274931173342*x^51-43944656447313766*x^50-40523266262768710*x^49+776244\
73511152365*x^48+70646776318773306*x^47-122026347993682180*x^46-109413943977\
659961*x^45+170555716849587290*x^44+150358827470209380*x^43-2116521490047047\
16*x^42-183026618732294255*x^41+232752467648119871*x^40+196898089910026185*x\
^39-226270441040217107*x^38-186666794985372626*x^37+193878383886462639*x^36+\
155405936503373698*x^35-145895591698782183*x^34-113137912203080076*x^33+9600\
9887268116100*x^32+71663788855178945*x^31-54975143055241988*x^30-39259372791\
576607*x^29+27228270103061375*x^28+18469522504412770*x^27-11583521054285282*\
x^26-7398958032545951*x^25+4197847435573389*x^24+2498653737063577*x^23-12831\
25602899785*x^22-702719788667584*x^21+326848617412629*x^20+162168283369257*x\
^19-68363480503786*x^18-30151300159943*x^17+11523879060891*x^16+441362097914\
2*x^15-1528237558916*x^14-493803303194*x^13+154383051473*x^12+40603802423*x^\
11-11359468793*x^10-2326471987*x^9+570188446*x^8+86247475*x^7-17632040*x^6-1\
867154*x^5+283056*x^4+20720*x^3-1728*x^2-96*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^88-x^87+x^83-x^82+x^78-x^77+x^73-x^72+x^68-x^67+x^65-x^64+x^63-x^62+x^60-x\
^59+x^58-x^57+x^55-x^54+x^53-x^52+x^50-x^49+x^48-x^47+x^45-x^44+x^43-x^41+x^\
40-x^39+x^38-x^36+x^35-x^34+x^33-x^31+x^30-x^29+x^28-x^26+x^25-x^24+x^23-x^2\
1+x^20-x^16+x^15-x^11+x^10-x^6+x^5-x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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