Group GAP4(96,12)

Name: (C12 x C4) : C2
Maximal quotients:GAP4(32,11) GAP4(48,14)
Real polynomial:
x^96-592*x^94+166112*x^92-29440544*x^90+3705542936*x^88-353071321056*x^86+26\
508847472640*x^84-1611849561983680*x^82+80954055832824584*x^80-3408467251220\
614336*x^78+121683728344027246464*x^76-3716536619325200975744*x^74+978042139\
61705252984544*x^72-2230246343224698309126272*x^70+4426859647070937943543654\
4*x^68-767639288094307408109104384*x^66+11662019738175154510715791088*x^64-1\
55559748414488591567604560384*x^62+1824868745456453535555044760576*x^60-1884\
7837672874449755486195946496*x^58+171503650541897941058515942097664*x^56-137\
5218002808440480930458719988736*x^54+9716062127786063221021963075969024*x^52\
-60450767767939147014034328987416576*x^50+3309188305227253257217460009198650\
88*x^48-1591877289443819546396303774593259520*x^46+6718467116734946433235440\
299340247040*x^44-24828257093023526280726376208683429888*x^42+80151267759854\
717785280677472258264064*x^40-225398413733702249205773215320532914176*x^38+5\
50364575157335667769939895298752626688*x^36-11624058188828339626865282890706\
39718400*x^34+2114206626834468583684369123678913490688*x^32-3294330424448734\
117620475821121300959232*x^30+4370860660015929448343901861630236254208*x^28-\
4902355911416666590396529794003880288256*x^26+460808538770325737234671193396\
7463528448*x^24-3592234389353090401521438641847991754752*x^22+22927895395606\
53404209947743897408897024*x^20-1179215176580292355016942701411869507584*x^1\
8+478958710436728844703195789095498614784*x^16-14968947861767924919447579147\
6201996288*x^14+34780835783456706681113892124009791488*x^12-5731703637421110\
705693330553701498880*x^10+625714685294399639155411766516670464*x^8-40533385\
454879259085209976700829696*x^6+1243950656568330537256933031280640*x^4-78132\
07635467682447534928232448*x^2+2361510078236174515513593856
Common denominator of the automorphisms:
7220992536681111294121054900125939234004182804676902481688468946289713181478\
8966354736524255813233847981879708832964374505023456328276280129218208956069\
2799429019062056330549776915058454896623765052018619322795386241982376397891\
71493738093343316205633536
Complex polynomial:
x^96-2800*x^88+391694832*x^80+3233753925696*x^72+6838601450941536*x^64+18316\
62715232105728*x^56+143384145576489096960*x^48+1541039039343367789568*x^40+6\
75478928343600693504*x^32-13430067145371541504*x^24+1935075012861067264*x^16\
+911435081711616*x^8+1048576
Common denominator of the automorphisms:
2292371192381977296252037699601999491175174333916201563699083440267445816850\
9427630758428672

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.