Group GAP4(108,28)

Name: C2 x (((C3 x C3) : C3) : C2)
Maximal quotients:GAP4(36,13) GAP4(54,8)
Real polynomial:

x^108-645*x^106+189693*x^104-33875050*x^102+4127542392*x^100-365574145455*x^\
98+24481748305938*x^96-1272933725926320*x^94+52358960581261668*x^92-17270714\
84622376745*x^90+46148614814002691991*x^88-1006624184141804535450*x^86+18031\
297144006215672044*x^84-266523586602282540622050*x^82+3264360883476279531815\
835*x^80-33256962258908281683822210*x^78+282898294484374929320354781*x^76-20\
17036598462313122295998280*x^74+12101605406241561255187793968*x^72-613387391\
79507046071890767125*x^70+263671208764518044483079898932*x^68-96472211679123\
2758421385992575*x^66+3014275151873642393185958714106*x^64-80658300275133662\
84859911262915*x^62+18528093507080742005678192480709*x^60-366034448370975961\
33726801692975*x^58+62267970894766940164508946306333*x^56-912716048713085688\
59799445415890*x^54+115274727073923424599761659401954*x^52-12536289137612132\
5986790493800230*x^50+117231672359882576529780631181212*x^48-940688335439172\
03382584640319370*x^46+64582678368209123785693276914897*x^44-377956678435598\
26461314374614390*x^42+18768650854801469086406851704945*x^40-786516913663459\
6030506601836930*x^38+2763707623750834198541600610332*x^36-80840777678723503\
9012309391190*x^34+195266603205739051023500329104*x^32-386113520194058988362\
94993365*x^30+6193392906358575978147781080*x^28-798306366044603699148990465*\
x^26+81879083840026478382923442*x^24-6612025308956448172654050*x^22+41531253\
6749027409334179*x^20-19991726168509027686490*x^18+723598048580444829204*x^1\
6-19202932960761198060*x^14+361119588925577992*x^12-4593057925633050*x^10+37\
081552544829*x^8-174771708255*x^6+432374220*x^4-451575*x^2+81

Common denominator of the automorphisms:

8042824520980772976965902243908881223312291582505380181295707657424074986511\
9023917390845215715258514006209410998354374573933091028654915752335435034457\
5020917867950137185749764902135795517424282331961453770518698590675803147528\
0730060859758812640346705548760597246769398988354055128728292124455343691010\
7951571555114991230300763098600650246483358382396240064085480838549891053451\
3195986720341920204902616193223978932007545837695467406627105680996962665738\
172376237602175998186758361799136809728734147556645503812059441144150

Complex polynomial:

x^108-552*x^102+899970*x^96-270489760*x^90+92763566727*x^84-10667661190392*x\
^78+639608161491532*x^72-12547903035787344*x^66+130785616708031295*x^60-8869\
92693776615304*x^54+3124610961493188834*x^48-3902608893068562960*x^42+273645\
46895750968473*x^36-3287200127565520728*x^30+82993411606188528*x^24+17166033\
79888896*x^18+32424850831104*x^12+170877413376*x^6+2176782336

Common denominator of the automorphisms:

6458645506833928205464189726736665163400337240213055336109227194540883584856\
73193863971673141939001941214088950817179961109840494592

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.