Group GAP4(128,1644)

Name: (C2 x (C8 : C4)) : C2
Maximal quotients:GAP4(64,194) GAP4(64,258)
Real polynomial:
x^128-496*x^126+119096*x^124-18449200*x^122+2073298236*x^120-180201698368*x^\
118+12611629782408*x^116-730633727365408*x^114+35748522630373510*x^112-14998\
10945753149408*x^110+54597411566104699256*x^108-1740853693627840012176*x^106\
+48993014086579545539496*x^104-1224690751852654531010400*x^102+2733490135398\
3606550892616*x^100-547164284811126556608456672*x^98+98591083849582116336707\
07087*x^96-160412874363249281074098676272*x^94+23630631347985460664042592824\
40*x^92-31587856770089953628735930071152*x^90+383878032990389186424186121065\
744*x^88-4247940867132295656349002236932944*x^86+428587018356963204182581095\
49980144*x^84-394665932811159076410951025146101040*x^82+33197562668136152823\
03480015127359504*x^80-25523094596901556434947569186949461104*x^78+179428109\
814229216227003035820828508104*x^76-1153656597639364511671184904510378682304\
*x^74+6784429557328224081825518507274065139800*x^72-364878188233483803536753\
90385299113416784*x^70+179413048440212695987312047532194479293040*x^68-80618\
1289985242590481054291058158094392320*x^66+330835325742945758124397671311079\
5529336545*x^64-12389252737984304142250631873978387252132400*x^62+4229700730\
7994530111288118552973143070563800*x^60-131493193102631046313016015089469258\
322652736*x^58+371740930997294547778075908575245808336247296*x^56-9542161281\
79666222260466033117584054330017296*x^54+22200008189814959453777167927725958\
20080671440*x^52-4671833405276240805890606307843801933400894176*x^50+8872881\
091598136197470214808450899217855278436*x^48-1516967060779808275107059177309\
8468084626524736*x^46+23279552749071505226460522777578825513773332816*x^44-3\
1963747415615870044432869219157807163318874000*x^42+391243526517675856649913\
92885232138751009050156*x^40-42517167123858747776463579273175010348099688048\
*x^38+40831908506274627074063813433928017646760693208*x^36-34472774652799163\
261236441934443254418399782048*x^34+2543339833154319263307944788034483402790\
4345695*x^32-16286446798413601724597591821199237906136237168*x^30+8981463621\
154618381395236227165017761568372768*x^28-4227154205651710189782489163960613\
976874075728*x^26+1680263796338462320414519784633931464853516048*x^24-557197\
471492382350112920555585016529109250640*x^22+1519345229551636097855347158118\
63730061305768*x^20-33482462440444868843508968435970633035276480*x^18+583989\
4454171301522806277519942800981849110*x^16-785537629605636921855152558539296\
420807680*x^14+78827062474995854496083929592549656430400*x^12-56411103521496\
53144382446861582851439600*x^10+269317262766090089884471861907122761936*x^8-\
7657706325397759590113926824964322336*x^6+1013263826163215776966669330806023\
36*x^4-209277221792847140877831702928880*x^2+109166652879668483782960046641
Common denominator of the automorphisms:
1052813730685455762425278464526947477032856814898825521984185930695201104917\
3893390204086722917292236649337497075039618220610929269667983804934711332021\
5304167552360141527830346748036489654605266371964899275936487203224869823184\
0337691455227580255195864761505615738287833328024006723378223660842894056714\
4301769682672741082237370275987319827131899649792067652526287473490646121774\
3983667701816649890749946050611856468179825247802496985372862878981933188396\
4594400764034887619942898641158924392926024868452722001085404029708769612032\
9589382873250446238609000099146723839426586244269694511824431382075719519233\
3044253320456016468482583904464985548476293446575969090000
Complex polynomial:
x^128+12*x^120+81*x^112+1188*x^104+14256*x^96+153576*x^88+1568079*x^80+15204\
024*x^72+139401567*x^64+1231525944*x^56+10288166319*x^48+81616583016*x^40+61\
3674054576*x^32+4142299868388*x^24+22876792454961*x^16+274521509459532*x^8+1\
853020188851841
Common denominator of the automorphisms:
2951258929279605864675

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.