Group GAP4(96,162)

Name: C6 x ((C4 x C2) : C2)
Maximal quotients:GAP4(32,22) GAP4(48,21) GAP4(48,44) GAP4(48,45)
Real polynomial:
x^96-192*x^94+17856*x^92-1071616*x^90+46650240*x^88-1569908736*x^86+42503825\
408*x^84-951321575424*x^82+17950789499904*x^80-289780305592320*x^78+40474895\
70668544*x^76-49349070701199360*x^74+528935872872778687*x^72-501190024490428\
7088*x^70+42173306938854991152*x^68-316282446772158346112*x^66+2120080776052\
294529760*x^64-12729956350776128335872*x^62+68582186507477509500928*x^60-331\
894655346639514533888*x^58+1443741753299852327401728*x^56-564663443955817344\
0929792*x^54+19853400441998639232036864*x^52-62717354977807824796090368*x^50\
+177844363564381532157425793*x^48-452075431574162069864656992*x^46+102834775\
3850655405137035488*x^44-2088712113763473824896407808*x^42+37781172042445294\
41370998720*x^40-6066783927996779388195744768*x^38+8616110652665394964040297\
472*x^36-10775610827015642520527757312*x^34+11807141191954067448623642112*x^\
32-11268107385401684486809026560*x^30+9301770193452050893600948224*x^28-6588\
504086046361563526594560*x^26+3966442071777409718117654528*x^24-200699157792\
5467041010679808*x^22+842216238317599325361930240*x^20-288438780496224653692\
370944*x^18+79052308837673585369481216*x^16-16920924196513041421959168*x^14+\
2742315959386100442595328*x^12-323011967117795115663360*x^10+261091758466686\
58016256*x^8-1324709307577893126144*x^6+35849528563388645376*x^4-35209937693\
7566208*x^2+673732209147904
Common denominator of the automorphisms:
2149856354808188308968964096
Complex polynomial:
x^96-11*x^84-200*x^72-3589*x^60+103359*x^48+9331*x^36+520*x^24+29*x^12+1
Common denominator of the automorphisms:
222915417520961

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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