Group GAP4(64,207)

Name: C2 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,31) GAP4(32,46) GAP4(32,48)
Real polynomial:

x^64-736*x^62+248464*x^60-51291584*x^58+7279060176*x^56-756601135872*x^54+59\
904029063296*x^52-3708683716534016*x^50+182853027616289184*x^48-727411272576\
3541504*x^46+235684256452222823168*x^44-6260886545873219850240*x^42+13697370\
1439158178567168*x^40-2474558006301531813648384*x^38+36957592306658268902616\
064*x^36-456168212829564517110484992*x^34+4645610662209236189373956864*x^32-\
38918133186336569202765471744*x^30+267017946355476925999208935424*x^28-14915\
69580258160347052416630784*x^26+6732377767729864827998693572608*x^24-2432070\
0573593596914511836053504*x^22+69485613858490532495199595184128*x^20-1546766\
86565235785661361172054016*x^18+263180165023110989436485350957056*x^16-33376\
6868833082570804837500583936*x^14+304807013287449552082314458693632*x^12-190\
718525752436542968805472862208*x^10+75691947104047045060347784658944*x^8-166\
86869518691255724641496858624*x^6+1546978317193617263191321214976*x^4-119534\
77185326372694540681216*x^2+1932371316885590890315776

Common denominator of the automorphisms:

4641930014500936082784697019432984978125542581404516701518446462637500533968\
6303639432064375404355315058323577554906120192

Complex polynomial:

x^64+12*x^60-250*x^56-1608*x^52+104929*x^48+937368*x^44+5403350*x^40+5153650\
8*x^36+197332276*x^32-257682540*x^28+135083750*x^24-117171000*x^20+65580625*\
x^16+5025000*x^12-3906250*x^8-937500*x^4+390625

Common denominator of the automorphisms:

49489475277274297650000000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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