Group GAP4(100,13)

Name: D10 x D10
Maximal quotient:GAP4(20,4)
Real polynomial:
x^100-850*x^98+345375*x^96-89331750*x^94+16525024775*x^92-2328777454200*x^90\
+260054591461450*x^88-23633629073915500*x^86+1781541090465452375*x^84-112975\
948552255373250*x^82+6091881888322282026875*x^80-281631979714888543043750*x^\
78+11235060733629185808386875*x^76-388705597880074816640075000*x^74+11709180\
578116722427406041250*x^72-308044463225999357765116517500*x^70+7093877715455\
923934771029398750*x^68-143242857320184708695934209275000*x^66+2539160652771\
048373554588164137500*x^64-39541075483550280481005851121300000*x^62+54111450\
5219245549665503838986993750*x^60-6507287976704292710830885298186562500*x^58\
+68743054880307560024962815242116718750*x^56-6375186249573394545184739149883\
39062500*x^54+5185427866587175942939614865340905484375*x^52-3694651481393717\
3646898039811656493406250*x^50+230252491626678875319759656568980490046875*x^\
48-1252829100462974058288719407972024589218750*x^46+593896810792506159746754\
3837574474028046875*x^44-24467160018887771988204850648385737607500000*x^42+8\
7349354647949157267470309921872447165156250*x^40-269336075362255944341960098\
651229522689062500*x^38+714527106473094033515329866360045876219921875*x^36-1\
623685777134219944520467668930120288285156250*x^34+3144184856747676013640453\
494039360368277734375*x^32-5157493049745851736452236163723746723139843750*x^\
30+7116446636899867906705322073459204724005078125*x^28-819274754679941641212\
4598134837216039210937500*x^26+779376847034724594677357172724162931516406250\
0*x^24-6056638317810064729833982093553752594250000000*x^22+37921104926309976\
50743344181769947863500000000*x^20-18808376423947544892912618300582459800000\
00000*x^18+723495435211093012589598097081298620000000000*x^16-20997942292908\
9733761836909458320000000000000*x^14+442805244329079396449970351241062400000\
00000*x^12-6417890618791959832478416586821120000000000*x^10+5833046007960985\
63749831144901120000000000*x^8-27783250793488819644510570496000000000000*x^6\
+430639763387184577091218636800000000000*x^4-1984273444273756531405619200000\
000000*x^2+871976042947696352296960000000000
Common denominator of the automorphisms:
4132051558992262528724094697956513533134693181324216258281167019465687578866\
7804123323013942890199166328447984620603702767484043779876357637968751357249\
2930429016657604576767518076939939364055071550247680840996646339689012559086\
2756632916461337674791591362500244684167189339689581603616978872724904977140\
7701898600432587890553116597165260919839034381946202876237505794827858287970\
7116757659299591345587882590766704537378437657391694300053504000000000000
Complex polynomial:
x^100-63*x^96-1100*x^92+152436*x^88+2837142*x^84-186577130*x^80-1244627700*x\
^76+129155831948*x^72-780068753855*x^68-139200155631871*x^64-186436349993152\
8*x^60+54075285694879032*x^56+2145118111020422128*x^52+28788152811381765872*\
x^48+190302468562601769728*x^44+732800851385101980416*x^40+21993260661054184\
97792*x^36+7019456389606600072960*x^32+15412782652312624838656*x^28+30171806\
661319942207488*x^24+22247267519085318443008*x^20+101628809183214897074176*x\
^16+71045530016380657991680*x^12+272398314799060728807424*x^8-25055175198159\
005548544*x^4+83668255425284801560576
Common denominator of the automorphisms:
7839348232635592662780642909123239148718814648512281048688930119757189981506\
0650164455990939720962429771997537036853581460453139415627810526661603709471\
442828761079663203749466354128109931680517470946261342169631555584

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.