Group GAP4(72,5)

Name: C4 x D18
Maximal quotients:GAP4(24,5) GAP4(36,4)
Real polynomial:
x^72-640*x^70+184700*x^68-32108600*x^66+3782510050*x^64-321617319250*x^62+20\
505937621000*x^60-1004626459755625*x^58+38419179905185625*x^56-1157964527126\
443750*x^54+27642521013509803125*x^52-523085016288886140625*x^50+78236116276\
70059250000*x^48-91858392169254550937500*x^46+837297177640167001640625*x^44-\
5830762431811633723046875*x^42+30358504936777453394531250*x^40-1150423981582\
49614708984375*x^38+308398302353120177134765625*x^36-57521199079124807354492\
1875*x^34+758962623419436334863281250*x^32-728845303976454215380859375*x^30+\
523310736025104376025390625*x^28-287057475528920471679687500*x^26+1222439316\
82344675781250000*x^24-40866016897569229736328125*x^22+107978597709022668457\
03125*x^20-2261649467043835449218750*x^18+375187303761578369140625*x^16-4905\
4026355255126953125*x^14+5006332427001953125000*x^12-392599266662597656250*x\
^10+23086609191894531250*x^8-979876708984375000*x^6+28182983398437500*x^4-48\
8281250000000*x^2+3814697265625
Common denominator of the automorphisms:
2387950039793353098598944398685628452680740694975906226993860711892835748324\
97379107313244157335434365483414459228515625
Complex polynomial:
x^72-225*x^66+50598*x^60-11378478*x^54+2558792079*x^48-306915318*x^42+269585\
1*x^36+3770874*x^30-488673*x^24+50274*x^18+486*x^12-729*x^6+81
Common denominator of the automorphisms:
133316326401940800

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