Group GAP4(128,899)
Name: C16 x D8
Maximal quotients:GAP4(64,115) GAP4(64,183) GAP4(64,185)
Real polynomial:
x^128-288*x^126+39936*x^124-3553344*x^122+228106496*x^120-11263170880*x^118+\
445340553088*x^116-14494871090816*x^114+396204297027280*x^112-92336350184035\
20*x^110+185645841060107264*x^108-3250311639741222784*x^106+4993295937264218\
1376*x^104-677293525385872512128*x^102+8153354466266834505472*x^100-87485933\
811878678381824*x^98+839757994290319587473264*x^96-7232793778187017463897728\
*x^94+56041058654727594388389888*x^92-391460974680466455533452544*x^90+24696\
29871153904568289863680*x^88-14092277716746657728799036672*x^86+728219220380\
93325190230289920*x^84-341109731646217935009303841280*x^82+14494409208362484\
04603479422656*x^80-5590068005730409459918585779968*x^78+1957485552949281927\
2922467332096*x^76-62247797084346995977646485030400*x^74+1797632073530647578\
53094118378496*x^72-471376491999166964786648153408000*x^70+11220125168482665\
61445142483860480*x^68-2423244109221814841403422002648064*x^66+4745786811306\
677678906549301455968*x^64-8421842307446374508150809454851584*x^62+135301586\
81245617459663323714469888*x^60-19657812046454771097918674239769600*x^58+257\
97095198648197793565988086648832*x^56-30535115156867953167182443181857792*x^\
54+32548336557803323946633664314091520*x^52-31187230297668057381184498998376\
448*x^50+26808023345765230049035565191731968*x^48-20625628934529211863385602\
646983680*x^46+14167724729746832293138873781895168*x^44-86637776772284595278\
74700666693632*x^42+4701575706043677104713665594028032*x^40-2256075768191487\
060912528533460992*x^38+953429870817028528432338315661312*x^36-3532433566141\
12511176334857564160*x^34+114148591593983757446275657266944*x^32-31983469849\
824675118954165237760*x^30+7718041821982394891620207427584*x^28-159153671110\
8435357958705836032*x^26+277886778850450897051339653120*x^24-406362303060284\
78490160328704*x^22+4911199226143072206696521728*x^20-4825130326641469870300\
11904*x^18+37725811232314192368808960*x^16-2281279674911679186194432*x^14+10\
2456385317994951671808*x^12-3211764702362691837952*x^10+63124760240716333056\
*x^8-618480266100891648*x^6+1272270929215488*x^4-792362205184*x^2+151388416
Common denominator of the automorphisms:
2219444912018933344598345907517632329872617616372064802723196439708254236804\
6344981556014561448354645922089465381701929238362891131386565977165636758765\
2004331031948399904619201284481763004927529306483781931081848839732434380045\
0825384050564815296347168616349335869246385409243926365924420090738204504459\
4259787776
Complex polynomial:
x^128-3*x^124+8*x^120-21*x^116+55*x^112-144*x^108+377*x^104-987*x^100+2584*x\
^96-6765*x^92+17711*x^88-46368*x^84+121393*x^80-317811*x^76+832040*x^72-2178\
309*x^68+5702887*x^64-2178309*x^60+832040*x^56-317811*x^52+121393*x^48-46368\
*x^44+17711*x^40-6765*x^36+2584*x^32-987*x^28+377*x^24-144*x^20+55*x^16-21*x\
^12+8*x^8-3*x^4+1
Common denominator of the automorphisms:
5702887
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.