Group GAP4(64,229)

Name: (C2 x C2 x Q8) : C2
Maximal quotients:GAP4(32,46) GAP4(32,48) GAP4(32,50)
Real polynomial:
x^64-1320*x^62+752400*x^60-250470000*x^58+55240287300*x^56-8655678009000*x^5\
4+1007345015820000*x^52-89775470846655000*x^50+6263816353919066250*x^48-3478\
51935082317600000*x^46+15570035897775009750000*x^44-567190397176310617875000\
*x^42+16941129649119844319250000*x^40-417231700323599047156875000*x^38+85079\
90379337546876143750000*x^36-144051457960032906415275000000*x^34+20284495788\
71570233793944921875*x^32-23768490563405429558520375000000*x^30+231630038077\
464713703013593750000*x^28-1874256951816147369709577109375000*x^26+125567758\
84133659309330799531250000*x^24-69366309685378144751909218359375000*x^22+314\
190666221196616574807777343750000*x^20-1158195926542567065359648062500000000\
*x^18+3441205196574489292893530260253906250*x^16-813791575171389613133890081\
0546875000*x^14+15066684151765585203013507617187500000*x^12-2136114257223637\
0436546257470703125000*x^10+22493822263344857235893382641601562500*x^8-16828\
561358324031646722546386718750000*x^6+8341113021082346120549436035156250000*\
x^4-2414532716629100192790626220703125000*x^2+301816589578637524098828277587\
890625
Common denominator of the automorphisms:
71126322866116756659132255445338291039766259765625000000
Complex polynomial:
x^64+658*x^56-47*x^48-94094*x^40+453220*x^32-94094*x^24-47*x^16+658*x^8+1
Common denominator of the automorphisms:
8421120000

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.