Group GAP4(96,74)

Name: ((C8 x C2) : C2) : C3
Maximal quotient:GAP4(48,31)
Real polynomial:
x^96-304*x^94+43680*x^92-3950464*x^90+252689200*x^88-12177908608*x^86+460004\
463232*x^84-13989362007040*x^82+349161290259968*x^80-7255373457766912*x^78+1\
26896949903530496*x^76-1884109773164640256*x^74+23908588911199144448*x^72-26\
0692896803774894080*x^70+2453011726465932007424*x^68-19987400962572118466560\
*x^66+141409659532282963322368*x^64-870529328751774120411136*x^62+4670401293\
925752752775168*x^60-21860947191047207031767040*x^58+89333235100446966902947\
840*x^56-318777798268097902580072448*x^54+993149642450312122420002816*x^52-2\
699792709174552658240995328*x^50+6397088291789925572475469824*x^48-131921329\
93630609621879226368*x^46+23629418092642111465377890304*x^44-366671851566828\
72053883731968*x^42+49135598130773158117777735680*x^40-566375843275247357112\
57296896*x^38+55890616131426391138327068672*x^36-469478558166558901097484779\
52*x^34+33339643029074896934294061056*x^32-19852756537245374676196130816*x^3\
0+9816505445963311811280240640*x^28-3984008333668838965405286400*x^26+130888\
5118896015466929586176*x^24-342410798433313235199328256*x^22+699381474078990\
66724515840*x^20-10891444036638465473904640*x^18+1255775760821323128897536*x\
^16-103246796387610301300736*x^14+5759050719340695388160*x^12-20388283939981\
5184384*x^10+4214774612795326464*x^8-46819507213172736*x^6+252535487070208*x\
^4-534723428352*x^2+268435456
Common denominator of the automorphisms:
5244874441315529619508561921134703105257865540845544385201927098013023357773\
8029940942136986372773415090959154094920642634673223324781449530924805458349\
4301107494831352879506776449449997106119335098856165480955569586786214779469\
7005245881409071583128901198960485536805172443467670750118052459295618004132\
833794121287413595888175546368
Complex polynomial:
x^96+304*x^94+43680*x^92+3950464*x^90+252689200*x^88+12177908608*x^86+460004\
463232*x^84+13989362007040*x^82+349161290259968*x^80+7255373457766912*x^78+1\
26896949903530496*x^76+1884109773164640256*x^74+23908588911199144448*x^72+26\
0692896803774894080*x^70+2453011726465932007424*x^68+19987400962572118466560\
*x^66+141409659532282963322368*x^64+870529328751774120411136*x^62+4670401293\
925752752775168*x^60+21860947191047207031767040*x^58+89333235100446966902947\
840*x^56+318777798268097902580072448*x^54+993149642450312122420002816*x^52+2\
699792709174552658240995328*x^50+6397088291789925572475469824*x^48+131921329\
93630609621879226368*x^46+23629418092642111465377890304*x^44+366671851566828\
72053883731968*x^42+49135598130773158117777735680*x^40+566375843275247357112\
57296896*x^38+55890616131426391138327068672*x^36+469478558166558901097484779\
52*x^34+33339643029074896934294061056*x^32+19852756537245374676196130816*x^3\
0+9816505445963311811280240640*x^28+3984008333668838965405286400*x^26+130888\
5118896015466929586176*x^24+342410798433313235199328256*x^22+699381474078990\
66724515840*x^20+10891444036638465473904640*x^18+1255775760821323128897536*x\
^16+103246796387610301300736*x^14+5759050719340695388160*x^12+20388283939981\
5184384*x^10+4214774612795326464*x^8+46819507213172736*x^6+252535487070208*x\
^4+534723428352*x^2+268435456
Common denominator of the automorphisms:
5244874441315529619508561921134703105257865540845544385201927098013023357773\
8029940942136986372773415090959154094920642634673223324781449530924805458349\
4301107494831352879506776449449997106119335098856165480955569586786214779469\
7005245881409071583128901198960485536805172443467670750118052459295618004132\
833794121287413595888175546368

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.