Group GAP4(72,15)

Name: ((C2 x C2) : C9) : C2
Maximal quotients:GAP4(18,1) GAP4(24,12)
Real polynomial:
x^72-180*x^70+15030*x^68-774870*x^66+27701633*x^64-731355856*x^62+1483109463\
5*x^60-237267751672*x^58+3052431755336*x^56-32031536141940*x^54+277157490942\
379*x^52-1993821969626256*x^50+12000543264264687*x^48-60719425176698858*x^46\
+259147768657801789*x^44-935058041910420768*x^42+2855779686810029100*x^40-73\
84204170955970430*x^38+16153236999306673094*x^36-29844191593126520034*x^34+4\
6444943852762485032*x^32-60654618556791506052*x^30+66143987050878787073*x^28\
-59853508946996586096*x^26+44592044417893482928*x^24-27088561975997218800*x^\
22+13258239150921627923*x^20-5151416403940151284*x^18+1559698548471924783*x^\
16-359323541730266754*x^14+61034713531517999*x^12-7318723562424264*x^10+5816\
29856588083*x^8-27787667219114*x^6+677188144878*x^4-5945482868*x^2+5841889
Common denominator of the automorphisms:
2977357378827996619992331378303497767079539770354360538650868721635653883117\
7367896925031772529704042406440788663259741796856859140085323795224282286283\
693092862037263296117118780859749315812098794719674368
Complex polynomial:
x^72+4320*x^66+3010176*x^60+2488301568*x^54-467095818240*x^48+14985169993728\
*x^42+911088647405568*x^36+8580007899168768*x^30+229301870055653376*x^24+275\
794690798780416*x^18+146414844562636800*x^12+38549255626948608*x^6+405781638\
1784064
Common denominator of the automorphisms:
74135091715823985363321661304323407907651584

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.