Group GAP4(108,2)

Name: C108
Maximal quotients:GAP4(36,2) GAP4(54,2)
Real polynomial:
x^108-108*x^106+5670*x^104-192816*x^102+4774977*x^100-91790820*x^98+14257574\
10*x^96-18391665600*x^94+200974925844*x^92-1888397395248*x^90+15434758301976\
*x^88-110748368847168*x^86+702752236347915*x^84-3967278211998108*x^82-x^81+2\
0023299304020846*x^80+81*x^79-90714875699936736*x^78-3159*x^77+3701314833246\
06003*x^76+79002*x^75-1363768232029899300*x^74-1423575*x^73+4547577771250318\
530*x^72+19690290*x^71-13747615355784522960*x^70-217468314*x^69+377278307775\
22298805*x^68+1969809516*x^67-94082100176459547540*x^66-14915235753*x^65+213\
325692260576881050*x^64+95752130760*x^63-439963780662223009920*x^62-52677158\
1336*x^61+825368560746293364840*x^60+2503875308688*x^59-14080986530322306079\
68*x^58-10348141674312*x^57+2183477554842661533744*x^56+37365688036656*x^55-\
3075039263335801336960*x^54-118311400286640*x^53+3928911773065653315348*x^52\
+329359817363616*x^51-4548002628620738800656*x^50-807564936805020*x^49+47617\
97623983252163080*x^48+1745765378093205*x^47-4500467297740350599040*x^46-332\
8346338128315*x^45+3830578662139196439150*x^44+5594334252541650*x^43-2928264\
577279741277928*x^42-8281448901713295*x^41+2004162004004655993876*x^40+10779\
028729214130*x^39-1223676213795406399392*x^38-12307026638440170*x^37+6637688\
10415255168806*x^36+12288575324139660*x^35-318366464074313480280*x^34-106896\
23271729675*x^33+134288410786232979276*x^32+8063030124961812*x^31-4950356874\
7656304512*x^30-5243788822527612*x^29+15833862062669479752*x^28+292040913847\
2169*x^27-4357626399482390496*x^26-1381487341784031*x^25+1021809942158569200\
*x^24+549663398588124*x^23-201802893764411520*x^22-181784104371837*x^21+3310\
8287258223765*x^20+49257628291179*x^19-4437795117504420*x^18-10743691914990*\
x^17+476144917937010*x^16+1844876453661*x^15-39858660727200*x^14-24244318388\
7*x^13+2518845920955*x^12+23491486512*x^11-115007838660*x^10-1595166573*x^9+\
3569208786*x^8+70575570*x^7-68756688*x^6-1820637*x^5+708345*x^4+22959*x^3-29\
16*x^2-108*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^108+x^107+x^106+x^105+x^104+x^103+x^102+x^101+x^100+x^99+x^98+x^97+x^96+x^\
95+x^94+x^93+x^92+x^91+x^90+x^89+x^88+x^87+x^86+x^85+x^84+x^83+x^82+x^81+x^8\
0+x^79+x^78+x^77+x^76+x^75+x^74+x^73+x^72+x^71+x^70+x^69+x^68+x^67+x^66+x^65\
+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x^57+x^56+x^55+x^54+x^53+x^52+x^51+x^50+\
x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41+x^40+x^39+x^38+x^37+x^36+x^35+x\
^34+x^33+x^32+x^31+x^30+x^29+x^28+x^27+x^26+x^25+x^24+x^23+x^22+x^21+x^20+x^\
19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+\
x^2+x+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
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