Group GAP4(96,125)

Name: (C3 x Q16) : C2
Maximal quotients:GAP4(32,44) GAP4(48,38)
Real polynomial:
x^96-672*x^94+215280*x^92-43783872*x^90+6351932016*x^88-700227877248*x^86+61\
017402714048*x^84-4316881807210752*x^82+252758435461980192*x^80-124232469855\
16819968*x^78+518155777221844720896*x^76-18493615384509665498112*x^74+568545\
916502567718353664*x^72-15132926910298689454270464*x^70+35013534708341612816\
5377024*x^68-7063926907921684722290257920*x^66+12455447477455595168991024307\
2*x^64-1922614566068800640586020438016*x^62+26008022203875844208633411297280\
*x^60-308487469690190672849901723549696*x^58+3208511371799853796093546184368\
128*x^56-29249974429270850711524955678244864*x^54+23352256739877354767821456\
3111206912*x^52-1630597881926705765915090886516670464*x^50+99407323805986205\
86475095790451277824*x^48-52793725524988423212115341367787126784*x^46+243595\
201154952192280256024910542536704*x^44-9733896461757454619783307817872717250\
56*x^42+3355902669303922082543525606107328151552*x^40-9939308297140204893491\
696849572837982208*x^38+25163665752660411094038391882316455084032*x^36-54152\
308924364947441264489524222819827712*x^34+9843045921551639805688465384213922\
8078080*x^32-150048812853156765157635205051013004263424*x^30+190335848144839\
546982802488320746819944448*x^28-199191791298760789841720910173767905312768*\
x^26+170400439579971563919762532903753010380800*x^24-11798906239711534976548\
2421583162634141696*x^22+65441707783723506012738874989923612491776*x^20-2875\
1978111669182862558607455169118470144*x^18+988436142954489303317912890630913\
9693568*x^16-2621383945993572141638557922637304037376*x^14+52706206788885460\
3073930459748256186368*x^12-78551804974396262523869469162382295040*x^10+8414\
341712620513717556566660170645504*x^8-619382020074107218510560569510068224*x\
^6+29179763184122528524517333494923264*x^4-773050226311350236403255685939200\
*x^2+8443947623111648508285284253696
Common denominator of the automorphisms:
7917591870702582662043993452180552676405689437554943081679929426144343121025\
4998546223881694080647147124484701860429206491714950208476001980564926219514\
9550642012422015522687209822489340886734993221278740330322307743790737895617\
4328783711224788524944934757115074202017424977428480
Complex polynomial:
x^96+68638624992*x^72+648372761149824*x^48+28821633188640768*x^24+1763193692\
16
Common denominator of the automorphisms:
2699494497083335311360000

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.