Group GAP4(72,37)

Name: C3 x C3 x D8
Maximal quotients:GAP4(24,10) GAP4(36,14)
Real polynomial:
x^72-192*x^70+16272*x^68-815748*x^66+27348804*x^64-656731908*x^62+1180268395\
2*x^60-163644473124*x^58+1789411621014*x^56-15687678071952*x^54+111661608106\
728*x^52-651568447526616*x^50+3140486442093915*x^48-12576075531212484*x^46+4\
2028157251950408*x^44-117604753719785316*x^42+276196293039228885*x^40-545206\
044797313552*x^38+905195152847525616*x^36-1263882687506870220*x^34+148267667\
3659475571*x^32-1458746635053099168*x^30+1200375156111853032*x^28-8230200421\
79982384*x^26+467833197534865965*x^24-219071278701637416*x^22+83831772716836\
704*x^20-25955033543465004*x^18+6421448560418172*x^16-1249991086167396*x^14+\
187715379333168*x^12-21197038011300*x^10+1738093202289*x^8-98377523568*x^6+3\
545774352*x^4-70150212*x^2+531441
Common denominator of the automorphisms:
1312371879262740236607405172432607413477948887328295012790148175169569027645\
940570246331128
Complex polynomial:
x^72+7*x^69+37*x^66+173*x^63+752*x^60+3107*x^57+12342*x^54+40811*x^51+130607\
*x^48+396726*x^45+1115834*x^42+2748101*x^39+4922640*x^36-1147126*x^33-151006\
*x^30+115089*x^27-10693*x^24-6781*x^21+1677*x^18-592*x^15-13*x^12+47*x^9-8*x\
^6-2*x^3+1
Common denominator of the automorphisms:
2696195190470691

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