Group GAP4(96,206)

Name: C2 x C2 x C4 x S3
Maximal quotients:GAP4(32,45) GAP4(48,35) GAP4(48,51)
Real polynomial:
x^96-884*x^94+317837*x^92-62252164*x^90+7491034174*x^88-593529830140*x^86+32\
495154307767*x^84-1276911241810620*x^82+37153135505891964*x^80-8211589931357\
81716*x^78+14076234906370087841*x^76-190305463900288506276*x^74+205657383569\
8540402246*x^72-17955239887522703426908*x^70+127712797176687778130647*x^68-7\
44915780754951725490220*x^66+3580754612012668174364384*x^64-1423801606715029\
6012392164*x^62+46955971345068009418343673*x^60-128673650806656263840568036*\
x^58+293323773847854634053416390*x^56-556606555766581138188672380*x^54+87948\
4187168517729930034267*x^52-1157264440981148390556837132*x^50+12681425106534\
65228107012562*x^48-1157264440981148390556837132*x^46+8794841871685177299300\
34267*x^44-556606555766581138188672380*x^42+293323773847854634053416390*x^40\
-128673650806656263840568036*x^38+46955971345068009418343673*x^36-1423801606\
7150296012392164*x^34+3580754612012668174364384*x^32-74491578075495172549022\
0*x^30+127712797176687778130647*x^28-17955239887522703426908*x^26+2056573835\
698540402246*x^24-190305463900288506276*x^22+14076234906370087841*x^20-82115\
8993135781716*x^18+37153135505891964*x^16-1276911241810620*x^14+324951543077\
67*x^12-593529830140*x^10+7491034174*x^8-62252164*x^6+317837*x^4-884*x^2+1
Common denominator of the automorphisms:
1380302182498644346710732905116728195320805126405661504705778812605865984488\
2769161039101966127446684478326715432960
Complex polynomial:
x^96-47*x^88+1328*x^80-40321*x^72+749759*x^64-395616*x^56-483519*x^48-395616\
*x^40+749759*x^32-40321*x^24+1328*x^16-47*x^8+1
Common denominator of the automorphisms:
3203185516540625

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