Group GAP4(108,29)

Name: C18 x C6
Maximal quotients:GAP4(36,5) GAP4(36,14) GAP4(54,9)
Real polynomial:
x^108+x^107-107*x^106-107*x^105+5564*x^104+5564*x^103-187357*x^102-187358*x^\
101+4592974*x^100+4593075*x^99-87374495*x^98-87379445*x^97+1342622590*x^96+1\
342779440*x^95-17127938056*x^94-17131550431*x^93+185031815533*x^92+185096265\
928*x^91-1718123714840*x^90-1719050892911*x^89+13872146810365*x^88+138831996\
89305*x^87-98283263360388*x^86-98394624932478*x^85+615526222808376*x^84+6164\
88681366902*x^83-3427911276613395*x^82-3435128835164974*x^81+170585025505357\
04*x^80+17105892202081394*x^79-76157271030699722*x^78-76431681954662592*x^77\
+306025192089958269*x^76+307434745022299218*x^75-1109761773297892380*x^74-11\
16215124320985570*x^73+3639597891934874021*x^72+3666033552273203231*x^71-108\
13189054503819682*x^70-10910386526610855772*x^69+29139339547822385887*x^68+2\
9460905563301003887*x^67-71288472895766650366*x^66-72247641431924379777*x^65\
+158420818144719581985*x^64+161004182162125697791*x^63-319858641188703993200\
*x^62-326148152783111725963*x^61+586707624352737345006*x^60+6005591641743737\
81172*x^59-977318490151189396809*x^58-1004923275119448775600*x^57+1477414199\
408447487794*x^56+1527197719074886194783*x^55-2024821879132513182987*x^54-21\
06043381978822952897*x^53+2512562173252129568020*x^52+2632366350151789873749\
*x^51-2818197818828165851775*x^50-2977815799866037879065*x^49+28514811738480\
76587810*x^48+3043327603186384098394*x^47-2596319252732797050776*x^46-280399\
9806975614797603*x^45+2121198492589011405418*x^44+2323297456495073902274*x^4\
3-1549748232586706226950*x^42-1726129401097448121452*x^41+100844703566567207\
8982*x^40+1146129511302340722537*x^39-581691021698803580945*x^38-67751403890\
1472660729*x^37+295743718288691040147*x^36+354986971033646306033*x^35-131626\
597314714901457*x^34-164027639137988386141*x^33+50850887989230374755*x^32+66\
451057128346434173*x^31-16869173180770824008*x^30-23444719410074809551*x^29+\
4736616592656670745*x^28+7147493359981818566*x^27-1102606217718989791*x^26-1\
865773398663413745*x^25+205777494174676777*x^24+412543612846068201*x^23-2881\
7704125823500*x^22-76272809468735176*x^21+2493463528227898*x^20+116068675251\
85086*x^19+17123638878671*x^18-1425530693971634*x^17-46987374087561*x^16+137\
784141345501*x^15+8564103224791*x^14-10132633324683*x^13-908032843833*x^12+5\
40437400896*x^11+62863666987*x^10-19407840978*x^9-2805879482*x^8+409829789*x\
^7+74648952*x^6-3548978*x^5-994320*x^4-11440*x^3+4160*x^2+160*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^108-x^99+x^81-x^72+x^54-x^36+x^27-x^9+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.