Group GAP4(72,24)
Name: (C3 x C3) : Q8
Maximal quotients:GAP4(24,4) GAP4(36,10)
Real polynomial:
x^72-720*x^70+239760*x^68-49100400*x^66+6936213600*x^64-718649172000*x^62+56\
685363138000*x^60-3487832892000000*x^58+170182709618400000*x^56-665922549180\
6000000*x^54+210547414650927600000*x^52-5404743277735212000000*x^50+11294622\
5510396511000000*x^48-1923571814294154240000000*x^46+26693925949014964560000\
000*x^44-301514107833447703200000000*x^42+2767129699859590204800000000*x^40-\
20587753906272155520000000000*x^38+123853160234364112260000000000*x^36-60060\
3446265455001600000000000*x^34+2338987287868902786960000000000*x^32-72807150\
28249454767200000000000*x^30+18003555250366389357600000000000*x^28-350811387\
90170622864000000000000*x^26+53297592496205014071000000000000*x^24-622627037\
27300844720000000000000*x^22+54933659100287376480000000000000*x^20-357833480\
02455942000000000000000*x^18+16742130965835660000000000000000*x^16-545589524\
8089900000000000000000*x^14+1200674303146458000000000000000*x^12-17267670656\
4960000000000000000*x^10+15548447281680000000000000000*x^8-81796336920000000\
0000000000*x^6+22115818800000000000000000*x^4-236196000000000000000000*x^2+7\
29000000000000000000
Common denominator of the automorphisms:
4558454606556687640487624514234507513180949616441331960096657119205123149381\
2989859075415878345391313712593422260029677406600000000000000000000
Complex polynomial:
x^72+720*x^70+239760*x^68+49100400*x^66+6936213600*x^64+718649172000*x^62+56\
685363138000*x^60+3487832892000000*x^58+170182709618400000*x^56+665922549180\
6000000*x^54+210547414650927600000*x^52+5404743277735212000000*x^50+11294622\
5510396511000000*x^48+1923571814294154240000000*x^46+26693925949014964560000\
000*x^44+301514107833447703200000000*x^42+2767129699859590204800000000*x^40+\
20587753906272155520000000000*x^38+123853160234364112260000000000*x^36+60060\
3446265455001600000000000*x^34+2338987287868902786960000000000*x^32+72807150\
28249454767200000000000*x^30+18003555250366389357600000000000*x^28+350811387\
90170622864000000000000*x^26+53297592496205014071000000000000*x^24+622627037\
27300844720000000000000*x^22+54933659100287376480000000000000*x^20+357833480\
02455942000000000000000*x^18+16742130965835660000000000000000*x^16+545589524\
8089900000000000000000*x^14+1200674303146458000000000000000*x^12+17267670656\
4960000000000000000*x^10+15548447281680000000000000000*x^8+81796336920000000\
0000000000*x^6+22115818800000000000000000*x^4+236196000000000000000000*x^2+7\
29000000000000000000
Common denominator of the automorphisms:
4558454606556687640487624514234507513180949616441331960096657119205123149381\
2989859075415878345391313712593422260029677406600000000000000000000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.