Group GAP4(128,128)
Name: C32 x C4
Maximal quotients:GAP4(64,26) GAP4(64,50)
Real polynomial:
x^128-416*x^126+82256*x^124-10293504*x^122+915812840*x^120-61697924288*x^118\
+3273367532032*x^116-140439868792704*x^114+4965376430631444*x^112-1466968996\
42407296*x^110+3659768566994316320*x^108-77720750804733179520*x^106+14137014\
19389169513184*x^104-22130293965583884522624*x^102+299235962962313651095232*\
x^100-3504623022683621109440000*x^98+35625910932757585226446594*x^96-3148034\
42571091374009757440*x^94+2420600574848791019258306976*x^92-1620826952945830\
8948993546368*x^90+94559087629940844129495637824*x^88-4808308433294847697770\
83123072*x^86+2131860497659557138944765810496*x^84-8244776004334167360446251\
971584*x^82+27827838477440119308660238330952*x^80-82027533613761130518235350\
549376*x^78+211349885238623894167471946403584*x^76-4765116598273511116162998\
36224256*x^74+941274262723387926630024868474464*x^72-16312834563949567738671\
92045009920*x^70+2483974961012126049443085548963456*x^68-3328222849389007897\
107804241327616*x^66+3929625606139333080508064652147616*x^64-409401237891609\
1748356337748210560*x^62+3768166698741019642484865428493376*x^60-30671690816\
72179863237390403149824*x^58+2209632538217760772889099275979744*x^56-1409666\
588949887328942795053334272*x^54+796610020413841537143083896380928*x^52-3987\
46038539526801367951219894784*x^50+176732193507312621326663946155408*x^48-69\
310630149958727405806675144192*x^46+24026069236379093657674443030912*x^44-73\
50602683020287281065558653440*x^42+1981021176610517559578920901504*x^40-4691\
82669796714919222738003456*x^38+97367207327909084185713529600*x^36-176431658\
66094732894336440320*x^34+2779837170113320611886039048*x^32-3789626673861573\
49138282496*x^30+44440503563887126771193984*x^28-4452308950734918610281984*x\
^26+377998022433430572876288*x^24-26933841695126744821248*x^22+1592134680925\
657646848*x^20-76987467923983851520*x^18+2992704538891362464*x^16-9148832776\
9559552*x^14+2137522203890688*x^12-36722067426304*x^10+439127425664*x^8-3362\
770944*x^6+14359040*x^4-26624*x^2+16
Common denominator of the automorphisms:
3391111170666331786439186621470985855401438370459550854385683881597247453623\
3942969746790037538787175746195770767708259597902549983299969058269503029442\
0022612370848214550685521638086358095635763134890437956216093278077849675257\
9825077425849354687662369429098188303062174690135814719419485851712841629909\
4529678480174484229228619844816642002036992767556219500586127911872777947116\
3144696398211193088951688550661890529242770246367612484276832061275045729827\
810338635361443733573055767252531085054372116019081561727096162389523456
Complex polynomial:
x^128+416*x^126+82256*x^124+10293504*x^122+915812840*x^120+61697924288*x^118\
+3273367532032*x^116+140439868792704*x^114+4965376430631444*x^112+1466968996\
42407296*x^110+3659768566994316320*x^108+77720750804733179520*x^106+14137014\
19389169513184*x^104+22130293965583884522624*x^102+299235962962313651095232*\
x^100+3504623022683621109440000*x^98+35625910932757585226446594*x^96+3148034\
42571091374009757440*x^94+2420600574848791019258306976*x^92+1620826952945830\
8948993546368*x^90+94559087629940844129495637824*x^88+4808308433294847697770\
83123072*x^86+2131860497659557138944765810496*x^84+8244776004334167360446251\
971584*x^82+27827838477440119308660238330952*x^80+82027533613761130518235350\
549376*x^78+211349885238623894167471946403584*x^76+4765116598273511116162998\
36224256*x^74+941274262723387926630024868474464*x^72+16312834563949567738671\
92045009920*x^70+2483974961012126049443085548963456*x^68+3328222849389007897\
107804241327616*x^66+3929625606139333080508064652147616*x^64+409401237891609\
1748356337748210560*x^62+3768166698741019642484865428493376*x^60+30671690816\
72179863237390403149824*x^58+2209632538217760772889099275979744*x^56+1409666\
588949887328942795053334272*x^54+796610020413841537143083896380928*x^52+3987\
46038539526801367951219894784*x^50+176732193507312621326663946155408*x^48+69\
310630149958727405806675144192*x^46+24026069236379093657674443030912*x^44+73\
50602683020287281065558653440*x^42+1981021176610517559578920901504*x^40+4691\
82669796714919222738003456*x^38+97367207327909084185713529600*x^36+176431658\
66094732894336440320*x^34+2779837170113320611886039048*x^32+3789626673861573\
49138282496*x^30+44440503563887126771193984*x^28+4452308950734918610281984*x\
^26+377998022433430572876288*x^24+26933841695126744821248*x^22+1592134680925\
657646848*x^20+76987467923983851520*x^18+2992704538891362464*x^16+9148832776\
9559552*x^14+2137522203890688*x^12+36722067426304*x^10+439127425664*x^8+3362\
770944*x^6+14359040*x^4+26624*x^2+16
Common denominator of the automorphisms:
3391111170666331786439186621470985855401438370459550854385683881597247453623\
3942969746790037538787175746195770767708259597902549983299969058269503029442\
0022612370848214550685521638086358095635763134890437956216093278077849675257\
9825077425849354687662369429098188303062174690135814719419485851712841629909\
4529678480174484229228619844816642002036992767556219500586127911872777947116\
3144696398211193088951688550661890529242770246367612484276832061275045729827\
810338635361443733573055767252531085054372116019081561727096162389523456
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.