Group GAP4(96,134)

Name: C2 x ((C12 x C2) : C2)
Maximal quotients:GAP4(32,22) GAP4(48,14) GAP4(48,35) GAP4(48,36) GAP4(48,43)
Real polynomial:
x^96-1020*x^94+400500*x^92-86704080*x^90+11984509000*x^88-1145249349600*x^86\
+79553221099200*x^84-4159187895126000*x^82+167941155429510000*x^80-534302874\
3378000000*x^78+136090507215667260000*x^76-2811301672925466840000*x^74+47604\
978784476803320000*x^72-666638342373240987000000*x^70+7776798162173939680200\
000*x^68-76037898832960708956000000*x^66+626296852691339791506000000*x^64-43\
63955443833078302976000000*x^62+25813283309804066073936000000*x^60-129990348\
323601878859180000000*x^58+558587231433936556487740000000*x^56-2052026398158\
418519086720000000*x^54+6453577903887209926963800000000*x^52-173934402065574\
24959298000000000*x^50+40199071213818992723069400000000*x^48-796912132799104\
24625490000000000*x^46+135495741130735681783110000000000*x^44-19749286311478\
0089706872000000000*x^42+246547557368942551281500000000000*x^40-263267019939\
378023587440000000000*x^38+240024072671694787577760000000000*x^36-1864081501\
56448999830600000000000*x^34+122960319373732418489800000000000*x^32-68645796\
925237743336000000000000*x^30+32296628697774465858000000000000*x^28-12740440\
879211611812000000000000*x^26+4188669246992317772000000000000*x^24-113954442\
5029641540000000000000*x^22+254371564699902780000000000000*x^20-461191748496\
51600000000000000*x^18+6708456410706200000000000000*x^16-7710278485488000000\
00000000*x^14+68675423755200000000000000*x^12-4620967914000000000000000*x^10\
+226802738000000000000000*x^8-7717728000000000000000*x^6+1681800000000000000\
00*x^4-2040000000000000000*x^2+10000000000000000
Common denominator of the automorphisms:
5003820219903971233005277687992141192457803375898325807192447763937972493161\
854069545166019420936110906277888000000000000000
Complex polynomial:
x^96+134680*x^84+95668188*x^72+2194610600*x^60+18212925638*x^48+2194610600*x\
^36+95668188*x^24+134680*x^12+1
Common denominator of the automorphisms:
285059548850878054400

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.