Group GAP4(60,1)

Name: C5 x (C3 : C4)
Maximal quotients:GAP4(12,1) GAP4(20,2) GAP4(30,1)
Real polynomial:

x^60-240*x^58+26640*x^56-1818400*x^54+85615200*x^52-2956667760*x^50+77760264\
800*x^48-1596477100800*x^46+26026225920000*x^44-340965670240000*x^42+3620392\
753724160*x^40-31343204936851200*x^38+222146559844499200*x^36-12922600373671\
68000*x^34+6177657905691264000*x^32-24272040815559628800*x^30+78297041211099\
648000*x^28-206900860397810688000*x^26+446259144588375040000*x^24-7815569269\
92414720000*x^22+1103569197330202214400*x^20-1244561090836418560000*x^18+110\
7320841122611200000*x^16-764964787138560000000*x^14+401871635993600000000*x^\
12-156191479910400000000*x^10+43254881280000000000*x^8-8085721600000000000*x\
^6+936960000000000000*x^4-57600000000000000*x^2+1280000000000000

Common denominator of the automorphisms:

7266208692580710394166085164483945613171899328845652759087702774622434266457\
56273755850355961472000000000000

Complex polynomial:

x^60-240*x^55+294912*x^50-127734784*x^45+100642750464*x^40+30313601040384*x^\
35+16608598948839424*x^30+3207614484197670912*x^25+3171561316412075016192*x^\
20+13685329696064012288*x^15+59052381526032384*x^10+254811819737088*x^5+1099\
511627776

Common denominator of the automorphisms:

4610393034876655154372140700008448000

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