Group GAP4(108,5)
Name: C54 x C2
Maximal quotients:GAP4(36,5) 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+200232\
99304020846*x^80-90714875699936736*x^78+370131483324606003*x^76-136376823202\
9899300*x^74+4547577771250318530*x^72-13747615355784522960*x^70+377278307775\
22298805*x^68-94082100176459547540*x^66+213325692260576881050*x^64-439963780\
662223009920*x^62+825368560746293364840*x^60-1408098653032230607968*x^58+218\
3477554842661533744*x^56-3075039263335801336960*x^54+3928911773065653315348*\
x^52-4548002628620738800656*x^50+4761797623983252163080*x^48-450046729774035\
0599040*x^46+3830578662139196439150*x^44-2928264577279741277928*x^42+2004162\
004004655993876*x^40-1223676213795406399392*x^38+663768810415255168806*x^36-\
318366464074313480280*x^34+134288410786232979276*x^32-49503568747656304512*x\
^30+15833862062669479752*x^28-4357626399482390496*x^26+1021809942158569200*x\
^24-201802893764411520*x^22+33108287258223765*x^20-4437795117504420*x^18+476\
144917937010*x^16-39858660727200*x^14+2518845920955*x^12-115007838660*x^10+3\
569208786*x^8-68756688*x^6+708345*x^4-2916*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^108-x^54+1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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