Group GAP4(96,225)

Name: C3 x ((C2 x Q8) : C2)
Maximal quotients:GAP4(32,50) GAP4(48,52)
Real polynomial:
x^96-1008*x^94+380112*x^92-76864032*x^90+9641130284*x^88-811592638248*x^86+4\
8213556695888*x^84-2094188118834840*x^82+68287284721559394*x^80-170577183390\
2683008*x^78+33159018297695702376*x^76-507908443703194125648*x^74+6191356676\
006715730644*x^72-60544847945053819252584*x^70+478052772027133837380168*x^68\
-3063883806305757164296560*x^66+16007728702151141871177631*x^64-684161811452\
19782207009544*x^62+239869703128682308002675456*x^60-69142241372145134225306\
3160*x^58+1641368054720192502486927402*x^56-3212957655744060673082455080*x^5\
4+5190321346386524809392444144*x^52-6922266553331120575829995512*x^50+762206\
5014866607964793607176*x^48-6926552817832285757474096784*x^46+51915174189762\
49080702753600*x^44-3206266119852369071627484432*x^42+1629779381076461882541\
781398*x^40-680905369023399104209143960*x^38+233442737282382825974213448*x^3\
6-65553525930506377256700648*x^34+15043997953903038383649375*x^32-2813907824\
265551880983928*x^30+427576648551646193968536*x^28-52571884733968604201232*x\
^26+5205355983895750378186*x^24-412667920276289802264*x^22+26012245345111196\
232*x^20-1292679290175806904*x^18+50115583417449575*x^16-1495768443502872*x^\
14+33785160156240*x^12-564486582912*x^10+6759760662*x^8-55399680*x^6+288840*\
x^4-840*x^2+1
Common denominator of the automorphisms:
6322588770012291091306304598802829248970151626105334855072676013911654230001\
6510380997237033788273361287708033203102859936369322104446343465529060102756\
74496614348013191649826997852737185932
Complex polynomial:
x^96-14701531250*x^72+216135021094482421875*x^48-3589241027832031250*x^24+59\
604644775390625
Common denominator of the automorphisms:
810759612332154178619384765625000

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.