Group GAP4(112,37)

Name: C28 x C2 x C2
Maximal quotients:GAP4(16,10) GAP4(56,8) GAP4(56,13)
Real polynomial:
x^112-112*x^110+6105*x^108-215820*x^106+5563250*x^104-111469072*x^102+180724\
0368*x^100-24369896000*x^98+278814777549*x^96-2747396807904*x^94+23590152131\
245*x^92-178138759827756*x^90+1191905466437791*x^88-7109235720777960*x^86+37\
990563929384969*x^84-182640865266318004*x^82+792644304699648009*x^80-3114206\
012565330256*x^78+11102363192554935755*x^76-35983435834849499844*x^74+106184\
523818835213910*x^72-285623127034918641776*x^70+700913801358646313376*x^68-1\
570052354728860739840*x^66+3211162657972333366589*x^64-599674952383925702227\
2*x^62+10222835515842632463181*x^60-15900696160314757228556*x^58+22549053244\
334144547771*x^56-29125581485052886924840*x^54+34222091357570648478005*x^52-\
36522026242052879479428*x^50+35336364379740708316045*x^48-309294052463032590\
47408*x^46+24429650957833730705223*x^44-17362249668114390997940*x^42+1106622\
3843218367050627*x^40-6301592766702965303992*x^38+3192076650308368156025*x^3\
6-1431228715356339434308*x^34+564780226789183636853*x^32-1948641630280206550\
08*x^30+58340298504495706567*x^28-15022989556900586180*x^26+3293141482714618\
753*x^24-607073948985345240*x^22+92758104537746927*x^20-11543910854092012*x^\
18+1145427423206205*x^16-88234659717968*x^14+5100511628059*x^12-211552499652\
*x^10+5917522622*x^8-101868592*x^6+929320*x^4-3360*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^112+x^110-x^106-x^104+x^100+x^98-x^94-x^92+x^88+x^86-x^82-x^80+x^76+x^74-x\
^70-x^68+x^64+x^62-x^58-x^56-x^54+x^50+x^48-x^44-x^42+x^38+x^36-x^32-x^30+x^\
26+x^24-x^20-x^18+x^14+x^12-x^8-x^6+x^2+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.