Group GAP4(112,28)

Name: C2 x C4 x D14
Maximal quotients:GAP4(16,10) GAP4(56,4) GAP4(56,12)
Real polynomial:
x^112-840*x^110+307524*x^108-66638400*x^106+9727039508*x^104-1028176129344*x\
^102+82436663994672*x^100-5177799291483936*x^98+260881196287539936*x^96-1073\
7535892866311552*x^94+366241704165834792768*x^92-10473273098423566574208*x^9\
0+253521711096657474462784*x^88-5236647691382159935440384*x^86+9292811931517\
9669965893760*x^84-1424987560790309767734150144*x^82+18975748927623756415400\
546816*x^80-220373962799031414621090407424*x^78+2240186914538345616233470619\
136*x^76-19995584988708684773561557579776*x^74+15713580768353589454619045213\
9008*x^72-1089676447811763742008804082925568*x^70+66809035672518634516035663\
38113536*x^68-36272822168005925796675960199397376*x^66+174623077552514285557\
577255065694208*x^64-746181972919442712554785232242163712*x^62+2832376239771\
745205607870440871714816*x^60-9555613959730893953393264548466884608*x^58+286\
62158466643122890071354630605651968*x^56-76444911677847151627146116387735076\
864*x^54+181272079345391693158903708215789748224*x^52-3820451701347546688280\
50038907987820544*x^50+715256125655098513643836436749083475968*x^48-11885878\
36801218176505477863813853216768*x^46+17513587847336724926571652941384347811\
84*x^44-2285217141881335955081247500115520782336*x^42+2636301386841141346554\
659192673799241728*x^40-2683761987215385324175626726498713468928*x^38+240538\
2383717335339916930752441497944064*x^36-189299792622352109254839906349079121\
1008*x^34+1304003536980017676749048629043790872576*x^32-78339519626255262286\
4323954026712399872*x^30+408702190937582181240409225841124311040*x^28-184248\
160871712997052890485863888191488*x^26+7136001772657732142573895346500822630\
4*x^24-23583714411704907250743177170946883584*x^22+6597624009635156021120848\
899669491712*x^20-1547442004671681496467724418200633344*x^18+300775541347464\
724535539780640833536*x^16-47756769197519405818653704913420288*x^14+60827521\
72000405150936498131959808*x^12-606928061462593837191061127036928*x^10+45934\
645350128044207564094701568*x^8-2517527573056484524866876211200*x^6+92943425\
937792305580585517056*x^4-2030995376952577013506375680*x^2+19342813113834066\
795298816
Common denominator of the automorphisms:
4235397606047085361543373780747921039938909753986561532301135651341825563666\
2093884691967941686020270113937425077465642523958307654365265447234875331287\
193360397340245979046856045100872966692479906611200000000
Complex polynomial:
x^112-8113*x^104+16879681*x^96-686389991*x^88+18192724823*x^80-37216445756*x\
^72+164256588321*x^64-82399161003*x^56+164256588321*x^48-37216445756*x^40+18\
192724823*x^32-686389991*x^24+16879681*x^16-8113*x^8+1
Common denominator of the automorphisms:
3869098265466449111401621875

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.