Group GAP4(96,99)

Name: (C4 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,24) GAP4(48,35) GAP4(48,39) GAP4(48,41)
Real polynomial:
x^96-744*x^94+262512*x^92-58541280*x^90+9277024680*x^88-1113564156192*x^86+1\
05381592432128*x^84-8079850077297984*x^82+511864124632572240*x^80-2718840638\
4245112960*x^78+1224519336073282005504*x^76-47173453037053103275776*x^74+156\
5185421590420694214528*x^72-44970130357945309146562560*x^70+1123620041377326\
881782932480*x^68-24495117051998775937234977792*x^66+46706429525920427266906\
3100928*x^64-7803227741966442434295188711424*x^62+11435636990279487132369226\
3772160*x^60-1470861680756623283536668789719040*x^58+16603958952103659499304\
814112524288*x^56-164422121992870654488020675778404352*x^54+1426863774219597\
154905697702911246336*x^52-10835053368433741231600954973087416320*x^50+71853\
250045355955116706465482920611840*x^48-4151017806267760970071423886370331361\
28*x^46+2082869988958445522197319124116690829312*x^44-9045841637954464429018\
788998209926660096*x^42+33865562202585144038849281638382801551360*x^40-10878\
8612200242316486366630607686611763200*x^38+298297699009547882775001980903213\
437288448*x^36-694049281684701050703276059825117143498752*x^34+1361158443264\
425544543067561620786225217536*x^32-2233204203529699005272844489439081164963\
840*x^30+3038897818092098044429151543391329247559680*x^28-339601683689780426\
0884907613093759654297600*x^26+3080764405440520848454189653760129302528000*x\
^24-2237653322044382783891988162990936686592000*x^22+12796943487900470781398\
76285749230829568000*x^20-564440727003547014051822604263366328320000*x^18+18\
7089329763386914893014304845194199040000*x^16-450855708744361253584560187072\
31539200000*x^14+7568304916095788450592044839285555200000*x^12-8350582832030\
13502100100266852352000000*x^10+55299928491725142109206280273920000000*x^8-1\
841767398389468161361077862400000000*x^6+19200746483585371958563307520000000\
*x^4-62975006172893208143462400000000*x^2+13661981066421868953600000000
Common denominator of the automorphisms:
7325974085530591655145750516413008986222192313012898041644212612862403573705\
6795893332073291132993647837057351912147426627912027266265916264463124817789\
3996630942560371087047617093897204463020915472085364056130210859590867131768\
8575817833038052065934872593878623396664774998889706219488044199767110916049\
0080665600000000
Complex polynomial:
x^96+87696*x^84+57192256*x^72-3576292992*x^60+129949084800*x^48-1879907328*x\
^36-11146932224*x^24+1330274304*x^12+4096
Common denominator of the automorphisms:
973927117430630308674602758963200

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.