Group GAP4(72,22)

Name: (C6 x S3) : C2
Maximal quotients:GAP4(24,8) GAP4(36,10)
Real polynomial:
x^72-420*x^70+81792*x^68-9842616*x^66+822783060*x^64-50915003328*x^62+242660\
8888128*x^60-91486554454656*x^58+2780625373570080*x^56-69080324358494592*x^5\
4+1417203217554951168*x^52-24191456765000963328*x^50+345491612488070577792*x\
^48-4144103967231685665792*x^46+41851072357029341411328*x^44-356286864839769\
727285248*x^42+2557189858441590099866880*x^40-15459495906099964881429504*x^3\
8+78569591312078639242002432*x^36-334698387610956394467833856*x^34+119026696\
3100118805546386432*x^32-3515481322856454457402490880*x^30+85681978239299752\
16333733888*x^28-17098509277387649354913349632*x^26+276742968393485124840551\
54688*x^24-35915164983165551102428446720*x^22+36859450684825793091126951936*\
x^20-29413419392272828781717618688*x^18+17871275353356517573781618688*x^16-8\
049858395569527183453978624*x^14+2595088472148802302904369152*x^12-570110842\
246976865055014912*x^10+79243407957216936836726784*x^8-612523533744193152850\
3296*x^6+200067778439822243266560*x^4-1357238768331034460160*x^2+49659113056\
6066176
Common denominator of the automorphisms:
2603762721276580050546756122418732578024482488176756980237434770921001704396\
5429659060741855350580464166140003745792
Complex polynomial:
x^72+112266*x^60+39472628697*x^48+47768828744448*x^36+180483066362880000*x^2\
4+411767193600000000*x^12+2985984000000000000
Common denominator of the automorphisms:
83509135021597819162874137804800000000000

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.