Group GAP4(128,639)

Name: (C2 x ((C8 x C2) : C2)) : C2
Maximal quotients:GAP4(64,67) GAP4(64,152) GAP4(64,153)
Real polynomial:
x^128-1024*x^126+482656*x^124-139928000*x^122+28142752560*x^120-419971776115\
2*x^118+485658855087360*x^116-44873088435658368*x^114+3389033481328960912*x^\
112-212938226557005240576*x^110+11287700638771828373120*x^108-51059048491572\
7017477632*x^106+19894403523484613063760128*x^104-67295030038140926981024256\
0*x^102+19892859082360889278207643904*x^100-516783655522021882390195578368*x\
^98+11854852333405831952224750054048*x^96-241123510651689818237324405697536*\
x^94+4363816294344302962702741711174656*x^92-7048349268406797289375569198327\
0912*x^90+1018649205361130704610076855404916480*x^88-13201855526316523032386\
063205317023744*x^86+153719276993087239885433170768273828864*x^84-1610581960\
362079236236217858949254868992*x^82+1520396837461153418854865860477273613619\
2*x^80-129449235071101422469908636599006008336384*x^78+994849646743174247879\
520928480305599547392*x^76-6905298353253581386052675312831360175878144*x^74+\
43304752376894271289390248769337800164082688*x^72-24540926495503471140738707\
1348551367557324800*x^70+1256719443255353380722154589517365397615206400*x^68\
-5814123579719811407630667456760183474735538176*x^66+24291390354353556240465\
684711560015713245082368*x^64-9159726724934437267555491885805835298552569856\
0*x^62+311478913506684221564722317983493374296148852736*x^60-954235363112127\
553447902903137889499237247500288*x^58+2630472779306193025031573053635555666\
732377305088*x^56-6515292169926981162409323355606468240455540113408*x^54+144\
74961902871212763070052335874514880399571402752*x^52-28789025978348184885004\
771542432005773007035760640*x^50+5114143665685034360200903538636082607576383\
7976576*x^48-80931461284280079347452528592226532222997325283328*x^46+1137507\
44247879847594440054906725867728277230485504*x^44-14150923899522444229287305\
1900675078743590109118464*x^42+155198565402668748990526426759419647430004796\
833792*x^40-149376490972462634532281828153815276818974053629952*x^38+1255114\
00479231423920209813835479963384278351740928*x^36-91505070373501604181916609\
968377160514750778834944*x^34+5747708435612455347394289205440882452350957221\
4784*x^32-30849403181329694770709378987677200881275284226048*x^30+1401208347\
1817671487914899569904249474962383831040*x^28-532509790361375373334622893423\
1048086096349495296*x^26+1670719356988358581068113392135508598176962314240*x\
^24-425949630309583735649781851439782200792384012288*x^22+866098299108345816\
70714908201207813274517372928*x^20-13737785818022365757092250005763808540358\
082560*x^18+1655685648507799653079713695497598499045310464*x^16-146867564027\
221995771320813808974112045924352*x^14+9211425743619636036330244409330186424\
680448*x^12-386941973555647504860164733706994136907776*x^10+1005099497289993\
0422205276336624535601152*x^8-141752303432615299930522830971598798848*x^6+86\
4422481712500396265835707596013568*x^4-2227121743303786695238927549202432*x^\
2+2004906320039718737585111105536
Common denominator of the automorphisms:
9387272764600499020626708917446774288736363061328658778519090643218827071912\
6203061492391932387176650482885839401807335223548837160025334528792148436131\
1854762702335245266269700592159084891966866017540686054570303103376756252505\
9278218229063042747408125750128338399750139972584259815365551478711633542933\
1206930426031724050664065370980414507313519951120451070983323478078854358415\
0429645884191678641139192464075015027334496282788428529477909513191682102136\
0317782489007389514508591698501260174960605628797477436323940066728830532797\
6774877378613344428339487192339930478291403950302694648469380881040001808558\
8336699714889803930129220776367468299843106724319418484175258070951445715303\
756964443680358829712920454200190533631915049861208890989963475324764160000
Complex polynomial:
x^128+384*x^120+1650376*x^112-10525824*x^104+169258140*x^96-260923008*x^88+2\
023361912*x^80+8689762176*x^72+5845360454*x^64-8689762176*x^56+2023361912*x^\
48+260923008*x^40+169258140*x^32+10525824*x^24+1650376*x^16-384*x^8+1
Common denominator of the automorphisms:
12551467548408556765014024884584448

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.