Group GAP4(96,200)

Name: C2 x (SL(2,3) : C2)
Maximal quotients:GAP4(48,33) GAP4(48,49)
Real polynomial:
x^96-420*x^94+74494*x^92-7541784*x^90+494831365*x^88-22621332648*x^86+755880\
978582*x^84-19102187741100*x^82+374455985056994*x^80-5804490833674356*x^78+7\
2217112704769282*x^76-729638490349092600*x^74+6042467934080173147*x^72-41327\
241205678498584*x^70+234894571129843879714*x^68-1115292519166512153372*x^66+\
4443415878665393956896*x^64-14911748172827625498372*x^62+4229368101609873264\
6846*x^60-101674784538295211367528*x^58+207687368039537314591953*x^56-361199\
952792117412644888*x^54+535695790045261992438662*x^52-6782972450468424512194\
68*x^50+733759642323223629901344*x^48-678297245046842451219468*x^46+53569579\
0045261992438662*x^44-361199952792117412644888*x^42+207687368039537314591953\
*x^40-101674784538295211367528*x^38+42293681016098732646846*x^36-14911748172\
827625498372*x^34+4443415878665393956896*x^32-1115292519166512153372*x^30+23\
4894571129843879714*x^28-41327241205678498584*x^26+6042467934080173147*x^24-\
729638490349092600*x^22+72217112704769282*x^20-5804490833674356*x^18+3744559\
85056994*x^16-19102187741100*x^14+755880978582*x^12-22621332648*x^10+4948313\
65*x^8-7541784*x^6+74494*x^4-420*x^2+1
Common denominator of the automorphisms:
1507641986478168221877096421536816622214996828949897614201933785083635679156\
03761835201851499005399873716667946352905356491555340288
Complex polynomial:
x^96+192*x^92+5856*x^88+269184*x^84+5232512*x^80+127501312*x^76+1418952704*x\
^72+28457295872*x^68+50630250496*x^64+4044584845312*x^60-16076852953088*x^56\
+311541422882816*x^52+87828692729856*x^48-19656054681894912*x^44+77600335501\
197312*x^40-115609690318045184*x^36+171834611020595200*x^32+1385070524874358\
784*x^28+696812518227574784*x^24+155410539747475456*x^20+8500539142701056*x^\
16-420150880763904*x^12+138985141698560*x^8-5909874999296*x^4+68719476736
Common denominator of the automorphisms:
1009881408328534071592704626659042849625657494568005534215016416044349901132\
01805210073789880277106658005143545192523737391378945270553247744

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