Group GAP4(72,13)

Name: (C3 x C3) : C8
Maximal quotients:GAP4(24,1) GAP4(36,7)
Real polynomial:
x^72-4080*x^70+7129800*x^68-7092761250*x^66+4500885915000*x^64-1932101254288\
125*x^62+580080432442033125*x^60-124234441063470028125*x^58+1921701676141998\
5343750*x^56-2167049995937748700593750*x^54+179777045945997827560546875*x^52\
-11083209415629400375400390625*x^50+513403811603295483691353515625*x^48-1807\
1049299503548886143960937500*x^46+488428111295636061518999208984375*x^44-102\
30364208224856057118673710937500*x^42+167302560264101770476174888427734375*x\
^40-2148290775763002415233719499023437500*x^38+21743171945298223461859626705\
322265625*x^36-173806171444214009282433413353271484375*x^34+1097527123444228\
043737938308349609375000*x^32-5466274312293324248818485320068359375000*x^30+\
21400573252556117981712309852996826171875*x^28-65515339942342949814425641840\
209960937500*x^26+155716117972827233744937031110076904296875*x^24-2847087354\
71095463441368418657684326171875*x^22+39589158586369467236396138398361206054\
6875*x^20-412824630528138168943321267913818359375000*x^18+317307518302931913\
161926665458679199218750*x^16-175942613872430670562518776893615722656250*x^1\
4+68457766011083984284163009548187255859375*x^12-180159895093236424196494503\
02124023437500*x^10+3049128952615472597164313793182373046875*x^8-30941814951\
2514695263652801513671875000*x^6+17101529235202840269219875335693359375*x^4-\
439502464639707488358020782470703125*x^2+3756431321706901609897613525390625
Common denominator of the automorphisms:
1792048459635910441249039311699726965046688159639433443823720190670865355067\
3519518902195693026162704098655629660604221446856861070606562551202095970916\
08635139493207455587120744470214843750000000000
Complex polynomial:
x^72+4080*x^70+7129800*x^68+7092761250*x^66+4500885915000*x^64+1932101254288\
125*x^62+580080432442033125*x^60+124234441063470028125*x^58+1921701676141998\
5343750*x^56+2167049995937748700593750*x^54+179777045945997827560546875*x^52\
+11083209415629400375400390625*x^50+513403811603295483691353515625*x^48+1807\
1049299503548886143960937500*x^46+488428111295636061518999208984375*x^44+102\
30364208224856057118673710937500*x^42+167302560264101770476174888427734375*x\
^40+2148290775763002415233719499023437500*x^38+21743171945298223461859626705\
322265625*x^36+173806171444214009282433413353271484375*x^34+1097527123444228\
043737938308349609375000*x^32+5466274312293324248818485320068359375000*x^30+\
21400573252556117981712309852996826171875*x^28+65515339942342949814425641840\
209960937500*x^26+155716117972827233744937031110076904296875*x^24+2847087354\
71095463441368418657684326171875*x^22+39589158586369467236396138398361206054\
6875*x^20+412824630528138168943321267913818359375000*x^18+317307518302931913\
161926665458679199218750*x^16+175942613872430670562518776893615722656250*x^1\
4+68457766011083984284163009548187255859375*x^12+180159895093236424196494503\
02124023437500*x^10+3049128952615472597164313793182373046875*x^8+30941814951\
2514695263652801513671875000*x^6+17101529235202840269219875335693359375*x^4+\
439502464639707488358020782470703125*x^2+3756431321706901609897613525390625
Common denominator of the automorphisms:
1792048459635910441249039311699726965046688159639433443823720190670865355067\
3519518902195693026162704098655629660604221446856861070606562551202095970916\
08635139493207455587120744470214843750000000000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.