Group GAP4(54,14)

Name: (C3 x C3 x C3) : C2
Maximal quotient:GAP4(18,4)
Real polynomial:
x^54-666*x^52-108*x^51+201555*x^50+58860*x^49-36901440*x^48-14596200*x^47+45\
88865865*x^46+2188694520*x^45-412396196670*x^44-222314027220*x^43+2781507001\
5315*x^42+16234780559220*x^41-1443062384369820*x^40-882840074515200*x^39+585\
45053146903995*x^38+36535636107699120*x^37-1877925809595694230*x^36-11661211\
26856470420*x^35+47962003991887554417*x^34+28919463344397145620*x^33-9791148\
63701085091272*x^32-558813890937898139976*x^31+15996727016110260407547*x^30+\
8402381724910707165240*x^29-208933461623173250568402*x^28-977775595887036560\
13036*x^27+2174231443768098412686345*x^26+871790020214145497242380*x^25-1792\
6234268836818927180060*x^24-5862340825216370128627920*x^23+11617454457721222\
2649946880*x^22+29049821157247153221140640*x^21-585680677312251130797421440*\
x^20-102712387092736227781072320*x^19+2267388643070354790685448160*x^18+2496\
91775454244685456720640*x^17-6637919403158341694303011200*x^16-4197699564513\
23685331941120*x^15+14443305331917149363144065536*x^14+639503002312758282487\
011840*x^13-22932161946997272678500891136*x^12-1382158658857496643708069888*\
x^11+26028521414010534256309170432*x^10+2902449891885397054639948800*x^9-204\
62061287734824278268029952*x^8-3942453430344141226099408896*x^7+104826193218\
67851755169878016*x^6+3121757155891834956930170880*x^5-305413181984776522507\
8276096*x^4-1322631729314877509913673728*x^3+321209614522960606465228800*x^2\
+232386102360920077133414400*x+28714432781376465666048000
Common denominator of the automorphisms:
1310549275293364186508363481007756333556247011098405294689457329542872621205\
3117781066830363952171869798400
Complex polynomial:
x^54+111*x^48+21144*x^42+2752*x^36-252606*x^30-812154*x^24+1122976*x^18+5975\
208*x^12-317115*x^6+19683
Common denominator of the automorphisms:
1548189358873755840000

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.