Group GAP4(80,29)

Name: (C5 : C8) : C2
Maximal quotients:GAP4(16,6) GAP4(40,12)
Real polynomial:
x^80-560*x^78+136400*x^76-19230400*x^74+1768825760*x^72-113725123200*x^70+53\
47931130880*x^68-189870030316800*x^66+5208065582088640*x^64-1122746151112064\
00*x^62+1926973471579714560*x^60-26589561287287424000*x^58+29717361782075680\
0000*x^56-2705123513695801395200*x^54+20137462449558519398400*x^52-122939235\
497647184384000*x^50+616628895156526431782400*x^48-2543342377900477085696000\
*x^46+8627918679618308227686400*x^44-24060723185247951563571200*x^42+5509597\
7396509088531783680*x^40-103411862635418823490764800*x^38+158705556682126564\
130816000*x^36-198508918721154810758758400*x^34+201531031243987645745971200*\
x^32-165213160023451973337088000*x^30+108683143808380131717939200*x^28-56942\
169958940827418624000*x^26+23552681252354446927462400*x^24-76137895064784747\
23328000*x^22+1901923535717028016947200*x^20-362544787306485514240000*x^18+5\
2004661576914870272000*x^16-5524265239021486080000*x^14+42618054733896089600\
0*x^12-23279445564456960000*x^10+869073541398528000*x^8-21041439047680000*x^\
6+304162537472000*x^4-2281701376000*x^2+6710886400
Common denominator of the automorphisms:
7249098744705217153857068634761255294026690270432587384772159506586028947828\
2693186722874614531583226265642630738137961216838155439955251469505194225704\
791963835350374154240
Complex polynomial:
x^80+644*x^64+562054*x^48-325967996*x^32+89231429249*x^16+1048576
Common denominator of the automorphisms:
7215943487370294702112768

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.