Group GAP4(96,194)

Name: C2 x (A4 : C4)
Maximal quotients:GAP4(24,7) GAP4(48,30) GAP4(48,48)
Real polynomial:
x^96-720*x^94+197320*x^92-28647648*x^90+2564794370*x^88-154480582800*x^86+66\
19225068512*x^84-209671090623600*x^82+5048083264724005*x^80-9432342034119816\
0*x^78+1390008182778600880*x^76-16363400906545402320*x^74+155485581486065238\
662*x^72-1202774566042015911360*x^70+7629099124490058557960*x^68-39921217587\
337978347120*x^66+173237304329734007780170*x^64-626227794256396989026640*x^6\
2+1892973764775739494453976*x^60-4800597298471423404506880*x^58+102416012100\
49881746677770*x^56-18421408724778818078795952*x^54+279836146121243681681666\
40*x^52-35945180442091928034255600*x^50+39070683677275299732730989*x^48-3594\
5180442091928034255600*x^46+27983614612124368168166640*x^44-1842140872477881\
8078795952*x^42+10241601210049881746677770*x^40-4800597298471423404506880*x^\
38+1892973764775739494453976*x^36-626227794256396989026640*x^34+173237304329\
734007780170*x^32-39921217587337978347120*x^30+7629099124490058557960*x^28-1\
202774566042015911360*x^26+155485581486065238662*x^24-16363400906545402320*x\
^22+1390008182778600880*x^20-94323420341198160*x^18+5048083264724005*x^16-20\
9671090623600*x^14+6619225068512*x^12-154480582800*x^10+2564794370*x^8-28647\
648*x^6+197320*x^4-720*x^2+1
Common denominator of the automorphisms:
1678615185368187207227934411663147256710764704612639604979882170441035638445\
346372756669225104353668087095098732433861192456738814365925376
Complex polynomial:
x^96+139464*x^88+5579000988*x^80+57592734916024*x^72+158753366397614790*x^64\
+92823776970548072760*x^56+16788650836417069917084*x^48+11779219715168509640\
48520*x^40+28095835883045583011516289*x^32+2451392160617226686375488*x^24+48\
795697584726597379584*x^16+278230123720412381184*x^8+230193853492166656
Common denominator of the automorphisms:
8500476027060407462307155406226303250004326362570247380739263358221702495684\
87422750784722957016547789977281914619058377513525382904285233152

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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