Group GAP4(80,5)

Name: C40 : C2
Maximal quotients:GAP4(16,6) GAP4(40,5)
Real polynomial:
x^80-496*x^78+95720*x^76-9621408*x^74+586378292*x^72-23980846576*x^70+704123\
386800*x^68-15545476062560*x^66+266638795121540*x^64-3638689241180960*x^62+4\
0214006050337232*x^60-364807270966730560*x^58+2744569642563995040*x^56-17259\
819492100605312*x^54+91275743028174339616*x^52-407729547169248722816*x^50+15\
43373860782418960000*x^48-4960870607027893119104*x^46+1355544232193890645913\
6*x^44-31494371830189366338560*x^42+62179659716521454605344*x^40-10417084434\
6763639998464*x^38+147765933439850011648000*x^36-176947306206362902671360*x^\
34+178207709529213494075392*x^32-150260878036262413942784*x^30+1055034817943\
29841516544*x^28-61302290265118975197184*x^26+29265839929829074010112*x^24-1\
1385823487553399422976*x^22+3576267034245837881344*x^20-89721228660523925504\
0*x^18+177546909192006139904*x^16-27298211489900396544*x^14+3199968369524604\
928*x^12-278917673859940352*x^10+17449095786397696*x^8-742311008927744*x^6+1\
9590419578880*x^4-266287972352*x^2+1073741824
Common denominator of the automorphisms:
2078769070642673182384813845175507357190376792136524757470024653484044260196\
1749853809596184705584810587268390574460843202215718083034068718448192515158\
8352
Complex polynomial:
x^80+324*x^70+37422*x^60+4540212*x^50+490992435*x^40+9216781263*x^30+2323948\
97772*x^20+603988542351*x^10+3486784401
Common denominator of the automorphisms:
1691320147260188098253850

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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