Group GAP4(128,1770)
Name: (C2 x ((C4 x C4) : C2)) : C2
Maximal quotients:GAP4(64,203) GAP4(64,254)
Real polynomial:
x^128-352*x^126+59504*x^124-6440592*x^122+502100016*x^120-30067976080*x^118+\
1440497944504*x^116-56773672991104*x^114+1878625974354868*x^112-530019743929\
08336*x^110+1290444519898455576*x^108-27376100842698711488*x^106+51003525047\
3340104288*x^104-8399271440420296728176*x^102+122926654897553304563864*x^100\
-1606165922023645020577344*x^98+18808188131575917563719638*x^96-198031995724\
370183670047920*x^94+1880019666478223226313444536*x^92-161306881983581631743\
66577696*x^90+125335509267216163828477552832*x^88-88339516617308769900919724\
7888*x^86+5655897194027750554724554363368*x^84-32931294493032927005200902469\
696*x^82+174530415746386884350607648678316*x^80-8425377941268736865898425480\
39248*x^78+3706612777484171145675433899633064*x^76-1486501739104066619227974\
9681782912*x^74+54350714448108612075524637537052064*x^72-1811634171906875998\
65717874873976016*x^70+550374721903402386024472593823571912*x^68-15233161359\
19183991219612291801556800*x^66+3838915944932612049567659375186088193*x^64-8\
801934139854472374324513375198243248*x^62+1834340746037049114118563032001828\
8888*x^60-34706355945687383953980120304278385104*x^58+5953435689358043289702\
8432428583597072*x^56-92439896045217408004719874674122693408*x^54+1296821707\
37539490420843803795564342336*x^52-164024238231959923058404947031226857024*x\
^50+186590648599490082443186287507724596888*x^48-190382375250640554026425816\
017648119488*x^46+173681885606551279855899156268820102304*x^44-1411630911239\
96303649445043989387702848*x^42+101802538233718024521058661553150968576*x^40\
-64840824706615818291047834672103020160*x^38+3628106647040533615618389015660\
5385408*x^36-17725458610474614674699359178221405312*x^34+7508194830391958555\
963463632596064688*x^32-2734880873632450074123756917384680704*x^30+848513366\
252026125848670825538116992*x^28-221733018834754553740325790688302848*x^26+4\
8162549639813229911896114076345344*x^24-8559997224003537730175006302335488*x\
^22+1221716971644028105359709411793664*x^20-13690000015751609844560715347097\
6*x^18+11720298481453605504300162209152*x^16-741707101135204860461921167360*\
x^14+33337198190266179687403847680*x^12-1014891168522233261791565824*x^10+19\
834875524069607511520256*x^8-234485640360120572719104*x^6+154605482378030614\
0160*x^4-4965351597766088704*x^2+5757237789143296
Common denominator of the automorphisms:
1534430026238026368589694410188496715950826201763866590440852147542431776625\
3345953003372626514504776593334876917211370194799539086869139706200421999656\
0343157769000057771976604066591558105366633756935626794705145740278455602328\
1078570994345896032073286058821716633787019249196486381943679968077716142280\
6537668430659922504289006933294274958317775302116324288817182998607716467995\
1840827069097968606432030365496320000
Complex polynomial:
x^128+401360*x^120+56171072400*x^112+3117394995376000*x^104+8782015070446346\
0000*x^96+1701257738986246360800000*x^88+10381035830857848628336000000*x^80+\
42118502671197873528080000000*x^72+127799164651891997659070700000000*x^64-11\
422572132268873987893928000000000*x^56+298665524351795227953950560000000000*\
x^48-1829330145194912425635064800000000000*x^40+4463820320389716504457706000\
000000000*x^32-75630175331955081476960000000000000*x^24+23337862107789487524\
00000000000000*x^16+898819925405624000000000000000*x^8+214358881000000000000\
0000
Common denominator of the automorphisms:
3873429235572020270910042963981453944115381830137277770021884949713384664537\
1203955972461234263228390948043665405464778126810768268512622535757985180203\
441576734510203280785943958336758595666544483331258880000000000000000
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.