Group GAP4(96,116)
Name: (C3 x (C8 : C2)) : C2
Maximal quotients:GAP4(32,44) GAP4(48,36)
Real polynomial:
x^96-720*x^94+246240*x^92-53308800*x^90+8214706800*x^88-960619824000*x^86+88\
753148928000*x^84-6660217016640000*x^82+414159777504900000*x^80-216664385271\
40800000*x^78+964810359083980800000*x^76-36911876146749792000000*x^74+122236\
6311160354206000000*x^72-35251326881381167740000000*x^70+8896685606387212581\
00000000*x^68-19728846899003683288800000000*x^66+385661171722063520726100000\
000*x^64-6662970802167874783056000000000*x^62+101945541388326508880712000000\
000*x^60-1383465585936726166455360000000000*x^58+166698226398304469040957900\
00000000*x^56-178457473246286042541936000000000000*x^54+16977915057555576301\
83535800000000000*x^52-14352145028840788405507620000000000000*x^50+107746729\
895454231083213899125000000000*x^48-717716140282398939699046545000000000000*\
x^46+4236430622802644378252846970000000000000*x^44-2212116109548785421382069\
3800000000000000*x^42+101965220213853929042460316275000000000000*x^40-413817\
708670850590970039991000000000000000*x^38+1474139410528403586898266750000000\
000000000*x^36-4592624568946817466715907220000000000000000*x^34+124603343459\
29955358474732146250000000000000*x^32-29295218542525492633031075400000000000\
000000*x^30+59342985888529098507000409800000000000000000*x^28-10288597308801\
6293809827624000000000000000000*x^26+151494800254184153605158714375000000000\
000000*x^24-187748740649321651065128648750000000000000000*x^22+1937757522833\
12330908383161250000000000000000*x^20-16448544591464870369298045000000000000\
0000000*x^18+113121531402558945496943231250000000000000000*x^16-618883773518\
81141640306000000000000000000000*x^14+26327344582066205634489000000000000000\
000000*x^12-8456341078060673543460000000000000000000000*x^10+197163391057393\
2717943125000000000000000000*x^8-315558498870013321125000000000000000000000*\
x^6+31822684354205895937500000000000000000000*x^4-17419756943370937500000000\
00000000000000*x^2+36845677722854003906250000000000000000
Common denominator of the automorphisms:
1978608412979943993904349972945318391638292335995784503585676823272013558472\
8981144964286509065496465985178640838862759995915016856255480442008382751186\
0686106639445214411969867404690600700809676075125714746093750000000000000000\
00
Complex polynomial:
x^96+67956125872824*x^72+4000471223662560972744315666*x^48+20450485061990610\
7677386823864*x^24+3561315854426244934294437163521
Common denominator of the automorphisms:
8243100547831746159401840163306972530795510320912544910459258554724316098984\
000
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.