Group GAP4(108,24)

Name: C18 x S3
Maximal quotients:GAP4(36,5) GAP4(36,12) GAP4(54,4)
Real polynomial:
x^108-540*x^106+139806*x^104-23117364*x^102+2743916985*x^100-249127925400*x^\
98+18004164182712*x^96-1064116475424864*x^94+52449011342688996*x^92-21874916\
26861886736*x^90+78068882774008917000*x^88-2405131818497020152432*x^86+64409\
452501847745588228*x^84-1507737650022467421596352*x^82+309888496014859384778\
39760*x^80-561229770771948310541268192*x^78+8981835645417680556290533806*x^7\
6-127304707380869438382543152040*x^74+1600720362064878631829822999412*x^72-1\
7877862507458676816070550967032*x^70+177503280177654553582578869055918*x^68-\
1567442910471049235390919474477168*x^66+12312101423725713591982514804596896*\
x^64-86011408554166223351841991548533472*x^62+534155759824615411098761830438\
632612*x^60-2946827491238059348570724012717154960*x^58+144274609961650860907\
40428044630188808*x^56-62608833728750516639086757672777360880*x^54+240460011\
345223080151976015956338637428*x^52-815924587573333928235048502146899773824*\
x^50+2441064653896354385245592680403739482544*x^48-6424380220828846573387215\
965525955978528*x^46+14834653538372581145139699038955169362009*x^44-29967512\
419812082229658438770370257158428*x^42+5278779759057954380968825809583561981\
5390*x^40-80787401118781082529894213902416548453492*x^38+1069834719677352911\
48967451574044686032673*x^36-122035357332461287655457920651568956956344*x^34\
+119304135872363065691233177499287029604968*x^32-993965556834302779840023707\
65826099638464*x^30+70125858641563312773484569640233547558512*x^28-415975475\
15974695707528197106916815891328*x^26+20578158938074868628241835438609148376\
704*x^24-8410794204012508312127803111468356025344*x^22+280955613029374548175\
0014716065366853376*x^20-757219040670335792267708184152191749120*x^18+162120\
171158828380046504110053031004160*x^16-2704656379047733198581974085602492006\
4*x^14+3430262515138640325305329094541729792*x^12-32003582985616958063820466\
9580722176*x^10+20973578885528592178139744346439680*x^8-90037491644578402328\
7968013090816*x^6+22468666804796670556813326876672*x^4-250638064711869695972\
378148864*x^2+319889800041455637286354944
Common denominator of the automorphisms:
2353540376729833026859778830779180009176275104759073813712440951188360429113\
8474597044464841037236679726233247552759509172472006406293017039776193728716\
1111714579448734130713539925960830244803913093837978537627546900232463095605\
6796856449438816380431591028351054281613949072002690430943398334413018450237\
0631730660872860267109514530494608967810547127862900962199144884510632560748\
934323064567565099365823697366513799908611325952
Complex polynomial:
x^108-9*x^102-2835*x^96+7785*x^90+2553093*x^84-12730365*x^78+20151936*x^72+3\
0884247*x^66-97413354*x^60+39445893*x^54+157754385*x^48-418090977*x^42+47591\
3556*x^36-255884832*x^30+72101016*x^24-10730151*x^18+756702*x^12-19683*x^6+7\
29
Common denominator of the automorphisms:
498029924934786158593217400491917255371366

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.