Group GAP4(96,30)

Name: (C3 x (C8 : C2)) : C2
Maximal quotients:GAP4(32,7) GAP4(48,14)
Real polynomial:
x^96-800*x^94+304112*x^92-73179840*x^90+12529310264*x^88-1626548695488*x^86+\
166618016677280*x^84-13838538597051776*x^82+950320375243153800*x^80-54754636\
539199842176*x^78+2676898727992395804736*x^76-112029710355499016362240*x^74+\
4041682347672578056106336*x^72-126398945917899223958604032*x^70+344202413556\
6090827324743040*x^68-81905277347252110616703308288*x^66+1707819208862644479\
011493155568*x^64-31269586700547743496409353647104*x^62+50352318844724649026\
3887794148864*x^60-7137973896211761410913813042493440*x^58+89129635109765515\
614796901987895040*x^56-980391362344689468330829751636957184*x^54+9496377870\
805976555301567494769181696*x^52-80940242080195663795581796908224278528*x^50\
+606319004068734652952627848621218944768*x^48-398530282646224727809296514269\
1495538688*x^46+22937254897910160254032182947095754377216*x^44-1153000243899\
25359209064005635447317864448*x^42+50464770375543953443421061850879568305254\
4*x^40-1916175777620441689101408816668218126835712*x^38+62851373691305575426\
47457317111984139579392*x^36-17719990745489777373449287815854000584278016*x^\
34+42694049937469877624392615539230286069493504*x^32-87318289933050259576631\
126001545283872464896*x^30+150409903977932404228539051564703748041191424*x^2\
8-216224590697553691414123201753250583502503936*x^26+25663176766824819116964\
0108745908283812435968*x^24-248270580337578330770454942210585139979272192*x^\
22+192765908214174700759792814541391230767472640*x^20-1178538158214366805184\
32087909423451733721088*x^18+55379896345234298127286798809047840253642752*x^\
16-19371125930910209876202692010543605635710976*x^14+48233921167292731330969\
92931890473971957760*x^12-799716674594915269282186147914627681681408*x^10+79\
198065757234321679110956421452380037120*x^8-38712995752110647816337462757289\
85751552*x^6+71780233227881236801266058808275206144*x^4-25660003692533529376\
5502273076199424*x^2+198011523188376061371928589111296
Common denominator of the automorphisms:
2856160942416794269812505887798786717648266599084101684963971292809754856353\
6862452903406052811467673718913211216669909743510693086651763995177712774136\
2560009148184121796102683455232747510422606332730089001784116341888352811262\
70147814975376447137975486900248341329151468022792192
Complex polynomial:
x^96+9792*x^88+41985540*x^80-6319995840*x^72+450219381894*x^64-1847741572512\
0*x^56+446094565562628*x^48-5483761099707456*x^40+31454475581746305*x^32+900\
0768846094848*x^24+1198366837277184*x^16+84633297223680*x^8+2821109907456
Common denominator of the automorphisms:
18964505375680858467343667270158276362240

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.