Group GAP4(54,15)
Name: C6 x C3 x C3
Maximal quotients:GAP4(18,5) GAP4(27,5)
Real polynomial:
x^54-798*x^52+264537*x^50-48693162*x^48+5625208134*x^46-437662016316*x^44+24\
039043582869*x^42-964231664599917*x^40+28965882080864610*x^38-66422525489348\
3073*x^36+11796443842057886718*x^34-164033148382873958790*x^32+1800346320293\
329597068*x^30-15685201270768779660645*x^28+108866708742465648598995*x^26-60\
2973276547266760586850*x^24+2664475730021755154775123*x^22-93735970253454317\
10265350*x^20+26141152887220699938450834*x^18-57401720891605890356372676*x^1\
6+98267972320363596730564599*x^14-129330208969390552787612991*x^12+128287096\
863943053421927710*x^10-93211936130570250127162707*x^8+475364365436158121242\
27602*x^6-15890872776627225755103138*x^4+3075652795476237242923188*x^2-25630\
4399623019770243599
Common denominator of the automorphisms:
768539131499612503587080655881200419373082305958400
Complex polynomial:
x^54+798*x^52+264537*x^50+48693162*x^48+5625208134*x^46+437662016316*x^44+24\
039043582869*x^42+964231664599917*x^40+28965882080864610*x^38+66422525489348\
3073*x^36+11796443842057886718*x^34+164033148382873958790*x^32+1800346320293\
329597068*x^30+15685201270768779660645*x^28+108866708742465648598995*x^26+60\
2973276547266760586850*x^24+2664475730021755154775123*x^22+93735970253454317\
10265350*x^20+26141152887220699938450834*x^18+57401720891605890356372676*x^1\
6+98267972320363596730564599*x^14+129330208969390552787612991*x^12+128287096\
863943053421927710*x^10+93211936130570250127162707*x^8+475364365436158121242\
27602*x^6+15890872776627225755103138*x^4+3075652795476237242923188*x^2+25630\
4399623019770243599
Common denominator of the automorphisms:
768539131499612503587080655881200419373082305958400
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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