Group GAP4(96,80)

Name: C4 x D24
Maximal quotients:GAP4(32,25) GAP4(48,35) GAP4(48,36) GAP4(48,37)
Real polynomial:
x^96-384*x^94+69984*x^92-8066304*x^90+661022412*x^88-41051468928*x^86+201089\
0102944*x^84-79844938785792*x^82+2620886501148738*x^80-72174941733145216*x^7\
8+1686478807654470816*x^76-33735435654598381824*x^74+581783473805555847580*x\
^72-8698605645988383951744*x^70+113267685194381847650400*x^68-12891018689869\
01916495360*x^66+12859313144100055516110447*x^64-112677881793191196850867968\
*x^62+868648034263636586959356352*x^60-5898030271836379642712283648*x^58+352\
94050088201176831905568920*x^56-186172027226638757539212754176*x^54+86547790\
9832836112800528764480*x^52-3543764079308849562441523519488*x^50+12767607057\
849646067213275355548*x^48-40419106959114495683665709057280*x^46+11223159173\
4746713158020197679424*x^44-272725219514920815200314649352704*x^42+578421054\
059002818904424368911000*x^40-1067264599714410205362355291076352*x^38+170667\
8842252644502737318563581120*x^36-2354629912149398401426726429983744*x^34+27\
87776959255177673970197172137199*x^32-2814337646829726255387923610851200*x^3\
0+2403888278881311466427378732396256*x^28-1720868782584424041080067387920640\
*x^26+1020302315026946153084283950259356*x^24-493514060119274500221326706173\
568*x^22+190942975888173759652820618399520*x^20-5755310094943361369906180898\
3040*x^18+13029614687001068455696682700354*x^16-2103172955880889828258024081\
536*x^14+224484173953977270603599587360*x^12-14326619897771987254848066816*x\
^10+509161767637003170837440460*x^8-9328100492951925293262208*x^6+7767540777\
1689176059104*x^4-265719301382001384960*x^2+308342631752338561
Common denominator of the automorphisms:
1886024314407838531605109840691163104896218251731544433718329564814066371950\
5083911149044113300142226207537589492344534386435635226221670088794932359834\
05883217950508892097421379773479318978560
Complex polynomial:
x^96+307944*x^84+972020412*x^72+6680223576*x^60-33064041402*x^48+54109810965\
6*x^36+6377425923132*x^24+163654067304*x^12+43046721
Common denominator of the automorphisms:
429732826698518061943044096

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.