Group GAP4(80,15)
Name: (C5 x D8) : C2
Maximal quotients:GAP4(16,7) GAP4(40,8)
Real polynomial:
x^80-226*x^78+19665*x^76-966572*x^74+31317148*x^72-726434847*x^70+1269567420\
0*x^68-173048914985*x^66+1885971410478*x^64-16744459815205*x^62+122877735227\
758*x^60-753937345819914*x^58+3903696559990697*x^56-17185147489976190*x^54+6\
4715453763971447*x^52-209490511500013136*x^50+585192481387693735*x^48-141477\
6563797946056*x^46+2966476154955052650*x^44-5401555685120133638*x^42+8545622\
711760835971*x^40-11743485744521379827*x^38+14002619947313047874*x^36-144590\
18928438865319*x^34+12892550518108949578*x^32-9888058296270370445*x^30+64899\
62546005587313*x^28-3621764725248965710*x^26+1704604220805967003*x^24-669849\
191140933886*x^22+217052731488056973*x^20-57107291335586025*x^18+11969250763\
887331*x^16-1951638881750314*x^14+240328255282461*x^12-21517581746310*x^10+1\
330852203764*x^8-52706345706*x^6+1172670777*x^4-10889073*x^2+6561
Common denominator of the automorphisms:
3978857830736980565894031598019546431060205096617786923454156129268507303633\
0721558532353301157686622759341278959305922437633943565215782332806049152542\
655313
Complex polynomial:
x^80-2900*x^72+3857340*x^64-675620576*x^56+886732854000*x^48-24166159421760*\
x^40+6555618421270592*x^32-6155790878566400*x^24+192306515192668160*x^16-269\
844110245888*x^8+102400000000
Common denominator of the automorphisms:
7844293444310964928657439088028849557967931546009600000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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