Group GAP4(96,212)

Name: C2 x Q8 x S3
Maximal quotients:GAP4(32,47) GAP4(48,40) GAP4(48,51)
Real polynomial:
x^96-684*x^94+195876*x^92-31996296*x^90+3402364041*x^88-253619715600*x^86+13\
895226223884*x^84-578214987242544*x^82+18720968233578480*x^80-48040226432990\
6508*x^78+9914144609165189292*x^76-166491572509026299772*x^74+22972322423270\
56802823*x^72-26251787885317639596144*x^70+250114982191019883349560*x^68-199\
7829465132516401903508*x^66+13441018785679648983649887*x^64-7646221160752266\
9063258912*x^62+368982398998200264354996084*x^60-151449214308525265903085890\
8*x^58+5298750603459236337974253216*x^56-15829709854463405107564195584*x^54+\
40432828934170859983173833688*x^52-88380573172436935400790502692*x^50+165416\
386071225930990671677329*x^48-265141719517310806202371508076*x^46+3638954604\
07537739848564503192*x^44-427402166070511937904233280768*x^42+42919879888019\
8143375914510496*x^40-368021590769716396144498714644*x^38+268988168869687992\
714792145236*x^36-167222856785652077241347240544*x^34+8818652425284417698172\
6908607*x^32-39323277362203320338666747964*x^30+1476903958339753309190816844\
0*x^28-4650425468520363901538121168*x^26+1220843400094533394349057943*x^24-2\
65441343357308337331394356*x^22+47419046327154216262767948*x^20-689324741345\
9245801986756*x^18+805876296400715660164080*x^16-74670777701545052694672*x^1\
4+5383295338422762759276*x^12-294772422713378785200*x^10+1186330986468212444\
1*x^8-334692557347736088*x^6+6146796431972484*x^4-64393934317668*x^2+2824295\
36481
Common denominator of the automorphisms:
2777304330854873362184758243795507588102013264856095437032671016124746343792\
032521234555657930176288875
Complex polynomial:
x^96+877987677924*x^72+72579159285606*x^48+71117001911844*x^24+6561
Common denominator of the automorphisms:
1419391013305349642342400

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.