Group GAP4(96,178)

Name: C3 x ((C8 x C2) : C2)
Maximal quotients:GAP4(32,38) GAP4(48,44)
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+528935872872775680*x^72-501190024490385\
4080*x^70+42173306938825113600*x^68-316282446770843156480*x^66+2120080776010\
808033280*x^64-12729956349777480253440*x^62+68582186488402322391040*x^60-331\
894655049821218406400*x^58+1443741749466722300067840*x^56-564663439791429166\
2487552*x^54+19853400057531575845257216*x^52-62717351938741797667209216*x^50\
+177844342881848847585046528*x^48-452075309905860284978429952*x^46+102834713\
3522121883953266688*x^44-2088709368356262043915911168*x^42+37781066515856633\
63623157760*x^40-6066748714847787687239221248*x^38+8616008780896006638825111\
552*x^36-10775355894814942886061146112*x^34+11806591127600767236405460992*x^\
32-11267088410224378347866030080*x^30+9300158381894005341869309952*x^28-6586\
341735057551082733436928*x^26+3964002152573834896059924480*x^24-200469964837\
1744778674503680*x^22+840446611057583435494195200*x^20-287333456374980931989\
012480*x^18+78505125396264104409169920*x^16-16712000910132435474186240*x^14+\
2683094892477687047127040*x^12-311250046021146142310400*x^10+246271925162231\
62122240*x^8-1229565193255187906560*x^6+34976490449025368064*x^4-48541899050\
0315136*x^2+2513111546331136
Common denominator of the automorphisms:
191960120995872768
Complex polynomial:
x^96+4680*x^72+7300799*x^48-4680*x^24+1
Common denominator of the automorphisms:
3287794951

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