Group GAP4(96,170)

Name: C3 x ((C4 x C2 x C2) : C2)
Maximal quotients:GAP4(32,30) GAP4(48,45) GAP4(48,47)
Real polynomial:
x^96-768*x^94+225336*x^92-35292656*x^90+3400296436*x^88-218779737200*x^86+99\
27525588248*x^84-330350014466224*x^82+8300228854806754*x^80-1610409843947741\
12*x^78+2455484671260002396*x^76-29834609057648828704*x^74+29206674413499181\
7772*x^72-2324081817260103489824*x^70+15138745283947483127068*x^68-811800823\
72607661550592*x^66+359998538964399174882207*x^64-1325071165376930846816944*\
x^62+4060454950540914777478592*x^60-10384960016471235229977760*x^58+22216350\
422338043115829246*x^56-39829749510199772534820800*x^54+59944204928921113165\
459176*x^52-75847797373280737176367024*x^50+80788569305536492989509048*x^48-\
72511330338233857492034848*x^46+54878678478966940293010080*x^44-350315505449\
23852092125616*x^42+18857279588344485608391618*x^40-855311532112820059796499\
2*x^38+3264205535689440060948012*x^36-1045936394646922301885328*x^34+2805567\
04243415041999103*x^32-62754042759095552487744*x^30+11647871553476970242980*\
x^28-1783297242957992008640*x^26+223571880022083232238*x^24-2275438294449494\
6688*x^22+1860923957487706972*x^20-120837552492408016*x^18+6143017141464951*\
x^16-240468637960496*x^14+7104910847848*x^12-154563704160*x^10+2396873426*x^\
8-25323424*x^6+170012*x^4-640*x^2+1
Common denominator of the automorphisms:
1292613722787352865815105942629911322724798666908808470226367493265984316878\
5369733587581468281541019667886425696434394595886494155577718176079590457330\
2115878739066330753745695725294909339219410086050640
Complex polynomial:
x^96+880*x^84+11974174*x^72+786368*x^60+1146500931*x^48+201702976*x^36+11881\
150*x^24-5488*x^12+1
Common denominator of the automorphisms:
117945677408458304940321916168

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.