Group GAP4(66,1)

Name: C11 x S3
Maximal quotients:GAP4(6,1) GAP4(22,2)
Real polynomial:

x^66-226*x^64+24235*x^62-1640940*x^60+78760191*x^58-2852018043*x^56+80971502\
555*x^54-1849202450366*x^52+34585088153744*x^50-536565026502260*x^48+6969780\
455385257*x^46-76308333619138559*x^44+707435091208053572*x^42-55698770804797\
34492*x^40+37300473116782875584*x^38-212522851196547503040*x^36+102923313822\
2360589312*x^34-4227880797547736203008*x^32+14682200503936600565248*x^30-429\
05514810058987674112*x^28+104870270752431747927040*x^26-21273748181366380969\
2672*x^24+354694091943954057744384*x^22-480154866656516458459136*x^20+519730\
459229860085415936*x^18-441207854812860463661056*x^16+2865559080376727256432\
64*x^14-137835084527955990020096*x^12+46980116270094066909184*x^10-106509580\
05716350402560*x^8+1457508926102597271552*x^6-102620794068821606400*x^4+2822\
545841019944960*x^2-2251447454400512

Common denominator of the automorphisms:

234815063187077217188363113351272620358203009400832

Complex polynomial:

x^66+594*x^60+137817*x^54+15854292*x^48+950862888*x^42+28809016146*x^36+3988\
20644946*x^30+2094088279320*x^24+3042551373192*x^18+711888386391*x^12+914875\
6815*x^6+177147

Common denominator of the automorphisms:

4670791970264867540831581525403961403002744480533394

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