Group GAP4(128,1665)

Name: (C2 x C2 x (C8 : C2)) : C2
Maximal quotients:GAP4(64,196) GAP4(64,248) GAP4(64,249)
Real polynomial:
x^128-688*x^126+226144*x^124-47363632*x^122+7111901496*x^120-816691271104*x^\
118+74709391142152*x^116-5599179304015016*x^114+350900052881356848*x^112-186\
76189983139116464*x^110+854487471475262467224*x^108-33935083058820899568512*\
x^106+1179093396919964513222636*x^104-36077348323923381409538408*x^102+97739\
2510682958735539235664*x^100-23552413025696289734875326960*x^98+506768905444\
616448885083829680*x^96-9768165488437923336619160466240*x^94+169141062579764\
167149297484266520*x^92-2637168072702938681432676565832360*x^90+370969865798\
79992695613649579978320*x^88-471595794860381439956894769233059760*x^86+54253\
10559399690433458173458203957480*x^84-56543479268930397106291745964381815840\
*x^82+534343395366134242215497123532309902870*x^80-4581629325052505210766180\
415437956707144*x^78+35659379540180079769632058453156223317872*x^76-25199431\
2061438835538693290662194813990736*x^74+161696033865721006607194246013871733\
8248208*x^72-9419993826520199709137482690959362758728224*x^70+49810341366412\
949269809662201847780669840056*x^68-2389494126534397969971822179995079332027\
66328*x^66+1039285042916470057179460510523211524769933824*x^64-4095003421832\
241272508693606009387627643600272*x^62+1460277936240184939513097453306797358\
6538449896*x^60-47072660144352426995862437956043437100181009216*x^58+1369809\
47036198483058934471377466253866227296908*x^56-35927530217924961488015826921\
9675797904170588024*x^54+847800163057946869234085584372096940558097493872*x^\
52-1796305857540705436760034112294852598118585271376*x^50+340956960689342625\
1391008625119974144415176539120*x^48-578286601805359871032467613941742570156\
0388072960*x^46+8739181418377800200731399873765100929857750514280*x^44-11729\
942585606461873695908338101107049640607672440*x^42+1393377431785982275613808\
8279401254649549633475920*x^40-145900373649245252658928615022761300011467632\
55440*x^38+13406598068621011674854518032958386102258308256920*x^36-107567014\
38370627637665500937216193281242961264160*x^34+74935992362445914851278396540\
50556525674583681905*x^32-4503909761907068634800215134597510846870176800040*\
x^30+2318683912611124798043132403037061826452842451184*x^28-1014058054888813\
545992130912448781122632800304192*x^26+3731790964363449939394948486113154293\
07030313496*x^24-114278667131856905731676863249621237126017662688*x^22+28736\
834137685402357456288727300615305271372864*x^20-5838493618883747719136995595\
673895560927724096*x^18+939081737254848705122103234639715228669795248*x^16-1\
16442849272571658754565280665537400418157184*x^14+10735537801423930758992909\
497528865169309952*x^12-698728771659076543057103883477077445742336*x^10+2966\
2264997025211297147574362843922839936*x^8-7221697694538900771689002017345695\
55968*x^6+8193073047779142386331621021060399104*x^4-378342849386917085188213\
08136358912*x^2+50367110166626167545841400586496
Common denominator of the automorphisms:
9717742622667334652823090661641312826415203385073147048266817078009292559061\
4280452718438967221169530951400016056265012026270194456665797123711955688867\
7219367570625131775318355272480580337903585730939928664339750941537281446401\
9251649877535449454836665820974439004617835634495234192691001316410249934391\
8352409373702023465678428804296465509243069130897919923823561142246950951895\
7440187625444776630480796751485789237858431794483760755786362764848990221209\
2752586582686051204894937194751081607960722182943580123651293262075979239497\
6208937789577351197079527531480760950161541723485685612410642146089834025616\
00000000
Complex polynomial:
x^128+22680*x^112+337524084*x^96+1224015442641*x^80+5586852519707706*x^64+40\
07659439109154302*x^48+3815688315232217780568*x^32-5177452791614318559*x^16+\
1853020188851841
Common denominator of the automorphisms:
43297139986744902028799208867224150617718784

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.