Group GAP4(128,324)

Name: (Q8 : C8) : C2
Maximal quotients:GAP4(64,117) GAP4(64,121) GAP4(64,125)
Real polynomial:
x^128-432*x^126+90000*x^124-12049536*x^122+1165651824*x^120-86857883296*x^11\
8+5189857509992*x^116-255604890196880*x^114+10585807709057656*x^112-37425612\
7281516624*x^110+11428745489014612272*x^108-304275298854820844384*x^106+7116\
312563072066065100*x^104-147114459137964399188592*x^102+27020762263587852340\
72648*x^100-44283495644289162334744736*x^98+649900621181418670475165092*x^96\
-8566855708374161761308469680*x^94+101686568905707434178872885576*x^92-10891\
60531184534742740009307024*x^90+10545557410247731025567970210184*x^88-924323\
17846592823284577358992208*x^86+734280462562838506503406560516680*x^84-52915\
60494603367597417062766938864*x^82+34617224988874126583889396003490286*x^80-\
205684864726709135682898968917883520*x^78+1110319568124644341376055751981658\
520*x^76-5446132606637894784116280760235572320*x^74+242723521804420254133241\
54066858755180*x^72-98274684090618941947377637505347528640*x^70+361357593975\
958071102231139384932402976*x^68-1206138516238137043275730717844514708912*x^\
66+3652253584250143187962785772388363239630*x^64-100255620062511992665685797\
94484748213376*x^62+24926515724541432541662060254222469459344*x^60-560763399\
49473735188620862701439009704000*x^58+11401442048269585850363643858074715407\
7420*x^56-209233627192023280754204970688106115450320*x^54+346060213730772177\
388703254360160041468080*x^52-514988610776021678901882422585970903143120*x^5\
0+688268784674985185393706481200116946554756*x^48-82436986723152814313089290\
3774808326924832*x^46+882806548219597798383213674387404481911160*x^44-843013\
011746667493679575444384631953906576*x^42+7156884394642417915904762389898411\
16884844*x^40-538338527402230670678679158816867662116512*x^38+35739134049288\
0669636607236357795627591264*x^36-208478808879816705269985952829599441254160\
*x^34+106314061462930647031166410017733683230157*x^32-4711514967649453728264\
1492849266488665408*x^30+18020679113841723718562326695864235195552*x^28-5900\
466238072664824213786887250983051184*x^26+1637914342913927138713096028206056\
810220*x^24-380971870019681010765383425680993056272*x^22+7318747905416436314\
6380723644944018368*x^20-11404874538322010596074848178876136208*x^18+1408702\
810075482235632893939799218686*x^16-133789579669738748148053489827212240*x^1\
4+9375825597946899967789346500396648*x^12-457679531839718061356007698833632*\
x^10+14319869917418062617529713140004*x^8-252846541280389946743692520768*x^6\
+1931390595663961551412678840*x^4-1406362197612982793794624*x^2+140814431737\
832513761
Common denominator of the automorphisms:
8599318953719708909548325577922213871193546662762960077433451846338292011169\
5274440871481102128941847948825627626739695176930265204659893527103624740768\
3033446663422617286189257432161225329230592968984836422537213150191146263370\
1943673326919442768617222343215852204961156160021426155720921378408879303502\
0806405794742234559539864830048171463177071678804242999071277912999563614257\
4195589721542505663423737305152227670519236855136549563382461793070205549767\
6542207249120783012097924620288066295351672233366448480827042364629411205603\
1507186417937916691598085326147076840940320241901160633239852272247735171210\
2400
Complex polynomial:
x^128+58165248*x^112-196628676083712*x^96+223292055855873130496*x^80-9267228\
3505061566894571520*x^64+19920189106496364502712378720256*x^48+1131802872694\
9291339318415073476608*x^32+1786214790452541216427850939328626688*x^16+34182\
189187166852111368841966125056
Common denominator of the automorphisms:
4741537953662410938354058500998920008773767922170789386247447318285316593644\
8311370044145664

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.