Group GAP4(96,226)

Name: C2 x C2 x S4
Maximal quotients:GAP4(24,14) GAP4(48,48)
Real polynomial:
x^96-468*x^94+89142*x^92-9466488*x^90+642609231*x^88-30124289160*x^86+102489\
4655066*x^84-26198335744164*x^82+516164594566947*x^80-7993803014231832*x^78+\
98845179795625344*x^76-988398176390926560*x^74+8077592892106539352*x^72-5443\
3246399809244488*x^70+304738516003659358788*x^68-1426266690756235277832*x^66\
+5609999594571282384165*x^64-18624986381138979977892*x^62+523761497648473922\
37830*x^60-125112992660033370029424*x^58+254425916491943430616905*x^56-44120\
1499481999423883240*x^54+653214528937494918186150*x^52-826365161905652740705\
092*x^50+893693653061190232595854*x^48-826365161905652740705092*x^46+6532145\
28937494918186150*x^44-441201499481999423883240*x^42+25442591649194343061690\
5*x^40-125112992660033370029424*x^38+52376149764847392237830*x^36-1862498638\
1138979977892*x^34+5609999594571282384165*x^32-1426266690756235277832*x^30+3\
04738516003659358788*x^28-54433246399809244488*x^26+8077592892106539352*x^24\
-988398176390926560*x^22+98845179795625344*x^20-7993803014231832*x^18+516164\
594566947*x^16-26198335744164*x^14+1024894655066*x^12-30124289160*x^10+64260\
9231*x^8-9466488*x^6+89142*x^4-468*x^2+1
Common denominator of the automorphisms:
1178791003306450309742454474233533001478608910086538291757942136459972541491\
1074652574336769811462224919268061328051348733185163788288
Complex polynomial:
x^96+354*x^92+46593*x^88+2173127*x^84+31401270*x^80-378273831*x^76+216968763\
7*x^72-8166797100*x^68+23863404447*x^64-56093228989*x^60+107054912229*x^56-1\
60083020853*x^52+184301364646*x^48-160083020853*x^44+107054912229*x^40-56093\
228989*x^36+23863404447*x^32-8166797100*x^28+2169687637*x^24-378273831*x^20+\
31401270*x^16+2173127*x^12+46593*x^8+354*x^4+1
Common denominator of the automorphisms:
131486672937807458005919515351918510270141440

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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