Group GAP4(96,60)

Name: C3 x (C16 : C2)
Maximal quotients:GAP4(32,17) GAP4(48,23)
Real polynomial:

x^96-480*x^94+109872*x^92-15972288*x^90+1656920664*x^88-130666063680*x^86+81\
48866270112*x^84-412791802273152*x^82+17313456445196220*x^80-609861247571570\
112*x^78+18237902826708127584*x^76-466935465035171537280*x^74+10302112343522\
944105200*x^72-196889305005731726672256*x^70+3272654994015459934915776*x^68-\
47459673992273914890567936*x^66+601915297948401005702612028*x^64-66880166792\
20470517213465344*x^62+65183712893460539777809362816*x^60-557674341102311664\
105351046656*x^58+4189429674616434125108315908032*x^56-276326770748121669462\
78667516416*x^54+159950269600015800517187342572800*x^52-81187033295713160430\
7430592973824*x^50+3609293546455211318837445808791840*x^48-14032450168291604\
954419289736629760*x^46+47621842042592016836793949204359936*x^44-14075437738\
1369508537315888045468672*x^42+361365764627838131471836889492022144*x^40-803\
372416654852213899772701924375552*x^38+1541046231365079320956192149811920384\
*x^36-2540090722292211472426084551545972736*x^34+358055959458138534081338719\
8715700976*x^32-4292754196970191346921315078748329472*x^30+43495243591656490\
38191357727189237504*x^28-3696973681615345605740573408439020544*x^26+2613117\
441738983255381166543903208320*x^24-1520084583536449572924536484823311360*x^\
22+718667896508037669953396000630739456*x^20-2719330560178729088346588921485\
04576*x^18+80783251775601852809842842834758592*x^16-183842165619833920060777\
60282242048*x^14+3103733693671488796025023451463168*x^12-3722980339872463754\
70114642376704*x^10+29885378099070654511254886134528*x^8-1471404961388565711\
468032292864*x^6+38554566764545445962749557760*x^4-4085572800113993108810833\
92*x^2+1201832275808796134635584

Common denominator of the automorphisms:

5017262746814418579468769958391054968881507771208448069590075674684961947500\
8188617722060703862208012988955413799060345418345392313220036781830642489793\
4269132455422529610099923303578904584190470259082145459683013265532168534663\
8092783364388157586966976334482305896535848204107776

Complex polynomial:

x^96+39076553984*x^64+11685629131358208*x^32+16777216

Common denominator of the automorphisms:

65232446926920090791182336

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.