Group GAP4(96,49)

Name: C3 x (((C4 x C2) : C2) : C2)
Maximal quotients:GAP4(32,6) GAP4(48,21)
Real polynomial:
x^96-320*x^94+46052*x^92-3977728*x^90+232081320*x^88-9756271872*x^86+3077156\
71896*x^84-7485785933888*x^82+143290705841334*x^80-2190920717707200*x^78+270\
74140870582688*x^76-272946623014853504*x^74+2262216576071007344*x^72-1551362\
1205072390912*x^70+88508451243964383252*x^68-422076405097332993344*x^66+1689\
315953918666523805*x^64-5695136696928268184128*x^62+16223431223951221995816*\
x^60-39158882828475741585664*x^58+80281384443437206354136*x^56-1400861590673\
17436351104*x^54+208412436669712818252668*x^52-264731164565152559291008*x^50\
+287405028001930388809162*x^48-266864699181109452496384*x^46+211998553099301\
353964656*x^44-144074195649902941866624*x^42+83721212319315688702200*x^40-41\
559424782594085972096*x^38+17598048761528461576168*x^36-63440096362702610734\
72*x^34+1942016429032916646654*x^32-503185712856207081856*x^30+1099155946550\
15501460*x^28-20143705458519182208*x^26+3079100839951347272*x^24-38980702533\
3620992*x^22+40525419467386676*x^20-3424506408068224*x^18+232290348023276*x^\
16-12454948131904*x^14+517805807788*x^12-16285364096*x^10+375002720*x^8-6039\
424*x^6+63432*x^4-384*x^2+1
Common denominator of the automorphisms:
5547352441478050475451360421752817618422232697213453172426086851201274997488\
4627714685244625206024982423105566016510711064250940294788998529384697067634\
36984959213681032052388611899630336
Complex polynomial:
x^96+416*x^92+7904*x^88+19874304*x^84+3176527744*x^80+107756273664*x^76+5682\
622849024*x^72+429218623668224*x^68+11077404055031808*x^64+99258514931449856\
*x^60+336912299018813440*x^56+1160786557992435712*x^52+6596628242693095424*x\
^48+13909425940816986112*x^44+9013800239328395264*x^40+11245345801049735168*\
x^36+19657295714943238144*x^32+4789137605025333248*x^28+6175704770041348096*\
x^24+4917833250086322176*x^20+882894209172897792*x^16+40185191490125824*x^12\
-97375498534912*x^8+7146825580544*x^4+68719476736
Common denominator of the automorphisms:
1911841024564616961486053674550457274313675049443220446980960637792005626313\
0801299339067472304144384

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.