Group GAP4(128,1996)

Name: (C2 x C2 x D16) : C2
Maximal quotients:GAP4(64,226) GAP4(64,254) GAP4(64,257)
Real polynomial:
x^128-544*x^126+142544*x^124-23977680*x^122+2911584408*x^120-272102463088*x^\
118+20375954115184*x^116-1256832647282272*x^114+65148905347515412*x^112-2881\
187484486742320*x^110+109995332879586303840*x^108-3659078680478200127408*x^1\
06+106866662198412399429200*x^104-2757200253206856480379712*x^102+6316330182\
3544760662712720*x^100-1290242596354358423834797680*x^98+2358416469252820516\
5502889226*x^96-386891414619790296391446339184*x^94+571002215644986393865930\
4335536*x^92-75969898753495720206384255521760*x^90+9126696516319981598423490\
84695048*x^88-9913443750896420699595628576084848*x^86+9745797522436826591554\
5020809716384*x^84-867800138446673395221482852729154544*x^82+700250441895205\
7417976875756053097440*x^80-51220316554289228096872008879006952384*x^78+3396\
39563855762310483790966527064267024*x^76-20413914744446778005925725884826230\
61360*x^74+11118027007648099934700053991820858013096*x^72-548407237054945542\
41353124762175388364400*x^70+244824187560595962741136156517333965337552*x^68\
-988336785985684036487912939426214128710400*x^66+360413830162306401790217104\
5409987086185443*x^64-11858029124445384487938268156194430055101232*x^62+3515\
0257632148759266278265011526956073612272*x^60-937260170291145035268387215407\
30308608923872*x^58+224407171124395554373481058454238337854849864*x^56-48150\
8211187311156284829793618479218038451888*x^54+923888967117054538128022219608\
577003070695840*x^52-1581441931995522430232896464701165602671640240*x^50+240\
8670026770729854665099864220529039519639840*x^48-325509950192468346383637202\
0106543891142779968*x^46+3891151105804410945210664106767525418143715664*x^44\
-4100763639238238304093423899273991345065375664*x^42+37961157021155288355299\
99455761496191997204520*x^40-3074468110305054178801206448684318632501347376*\
x^38+2168974625094936353004810796393885116836056464*x^36-1326452179749009680\
505583526740469812188725632*x^34+6994249303560432953834370613644007642553643\
78*x^32-316060712782557809591091650258383339773142224*x^30+12155785380857006\
0061901077591677501859637280*x^28-394746955850327653989128087558459267557486\
88*x^26+10723028882910480377652386638428251400340592*x^24-240947769604930285\
6114830251761895793553088*x^22+441771870826403502701758541322093615279600*x^\
20-64967359520667759693507281641136509150224*x^18+74951502688313650869934397\
66292046999684*x^16-658434432909530919115254420226341304912*x^14+42232766251\
669277633924575306357684912*x^12-1856683139629736437013663083930120960*x^10+\
50385675028807766991298992218849304*x^8-689128133151620378434049163553200*x^\
6+2809722932377861166963802238208*x^4-4325619409996870000276425808*x^2+22029\
12870101688750244561
Common denominator of the automorphisms:
1207156846134912510591564021695884446239501493041912733973156187307030615231\
3095334425220139383189852845480252678639978466991266690987162020105177870469\
9992639180168867811429730073270467541105824097449401627311841949120476938489\
3801170380027882238807462728113389602498992213004187239214699552500626788957\
4135414574592760434062546267677570240123284128710017025590316228114736565023\
4698130304874764836648716095337946904577466717748868927171332829612987333868\
2030724860856230336874654149595791067533194457859237577962461071325352993039\
2284643855197930566756414745905126570563672737568455468979115622900556564234\
240000
Complex polynomial:
x^128+960*x^124+672960*x^120+161401600*x^116+22694761200*x^112+5717443488000\
*x^108+989586220096000*x^104+78283952591040000*x^100+4177329429078180000*x^9\
6+20271446107763200000*x^92+1548281009951606400000*x^88+87698558312854176000\
000*x^84-221690125037402768000000*x^80+5862238033516524480000000*x^76+456114\
755974850468160000000*x^72-3203916189555717977600000000*x^68+634180482896096\
3352300000000*x^64-114600846121743339648000000000*x^60+576467635098060983584\
000000000*x^56-930691432855842997440000000000*x^52+3993696668936066970720000\
000000*x^48-6978985174134026115200000000000*x^44+254750237515516119456000000\
00000*x^40-13474772237186610816000000000000*x^36+277530383090911997800000000\
0000*x^32-10707368696633580480000000000000*x^28+3745442262863744640000000000\
000*x^24+425067416270409600000000000000*x^20+615450948536329200000000000000*\
x^16-54195255340992000000000000000*x^12+4751626735584000000000000000*x^8-474\
47052480000000000000000*x^4+430467210000000000000000
Common denominator of the automorphisms:
1437705044637020904897457599471595625729792484321615302374792461238939694492\
44296728033089299472145448885973577010726530682624000000000000000000

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.