Group GAP4(96,121)

Name: (D8 x S3) : C2
Maximal quotients:GAP4(32,43) GAP4(48,38)
Real polynomial:
x^96-240*x^94+27072*x^92-1911680*x^90+94978032*x^88-3538097280*x^86+10284847\
9232*x^84-2397553297920*x^82+45716115130272*x^80-723729748533760*x^78+962318\
4463073280*x^76-108465056213391360*x^74+1044030204978553880*x^72-86341933127\
82033120*x^70+61657258216409182080*x^68-381762253608622700800*x^66+205650648\
7133617546848*x^64-9665287453600632529920*x^62+39722735322167273152512*x^60-\
143019235941337597255680*x^58+451742007887428993331904*x^56-1253052882479283\
811998720*x^54+3054324697340051018348544*x^52-6544241202266406620375040*x^50\
+12324882100559336176476376*x^48-20394616359518787713336640*x^46+29630051484\
833698251939072*x^44-37752528205860064894947840*x^42+42120800076820665129943\
872*x^40-41071231683161480525990400*x^38+34915487663896714581073920*x^36-258\
02287268101069343139840*x^34+16516594423805375093938560*x^32-911952097189999\
0575892480*x^30+4321521079814922087997440*x^28-1747165512911936583352320*x^2\
6+598413031400837085815648*x^24-172182263075025936927360*x^22+41202554256966\
641859072*x^20-8100807502660942044160*x^18+1289309278120148623488*x^16-16309\
4519587691427840*x^14+16023051337473769472*x^12-1186813699252346880*x^10+637\
27450983523584*x^8-2350969218560000*x^6+55096704000000*x^4-720000000000*x^2+\
3906250000
Common denominator of the automorphisms:
5169770957991085641016484735076129148927078510047508567326620655203121095434\
5481448971230777023435963657921995785391351166450790705490199383051987662515\
6568991705890890965800000000000
Complex polynomial:
x^96+976245656064*x^72+130542258173607936*x^48+143953279460573184*x^24+21743\
271936
Common denominator of the automorphisms:
858220050150154523639808000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.