Group GAP4(96,72)

Name: ((C4 x C4) : C3) : C2
Maximal quotient:GAP4(24,13)
Real polynomial:
x^96-480*x^94+107952*x^92-15161392*x^90+1495408488*x^88-110447901120*x^86+63\
60300829648*x^84-293589465869664*x^82+11082663410545800*x^80-347312400320015\
872*x^78+9141082975009168608*x^76-203896851639788561280*x^74+388207302659959\
0205536*x^72-63447104832776476472832*x^70+894097320218014936486080*x^68-1090\
1299200261958721562496*x^66+115297514570891278089849744*x^64-105978919929407\
0805865430016*x^62+8476297076273070133824958720*x^60-59027950254129369425530\
510080*x^58+357949824225703693285285609728*x^56-1889445173912217606537415410\
688*x^54+8674155720081152073800380096512*x^52-345891233782061940753807132011\
52*x^50+119596481866685777617824534646912*x^48-35778123032342569579678664259\
9936*x^46+923614121636902946521093252133376*x^44-205105736814571245460606529\
2987392*x^42+3903789266965937295860289184876032*x^40-63410533268806813142882\
02405146624*x^38+8746760581109195070733110622725120*x^36-1018675317091050786\
7537636216283136*x^34+9949457229617210073212645594777088*x^32-80854438100529\
77040768736780394496*x^30+5416211989526069687660950427523072*x^28-2957700331\
948904319469658014347264*x^26+1299257211385817255950106394820608*x^24-451754\
702026611918330853186486272*x^22+121886426747529639237019513430016*x^20-2489\
4110597386964836723027329024*x^18+3729952380464569062619942920192*x^16-39392\
7050079088332289857847296*x^14+27909452770837886309720924160*x^12-1257727638\
342038830955790336*x^10+34724687164697914171932672*x^8-561193986024691596656\
640*x^6+4833001525420955860992*x^4-17311567448844435456*x^2+5155754675245056
Common denominator of the automorphisms:
2885997414252176114702454715812661147366102562562261679946247661851773426850\
0522547561341627597700003953130447531567478072435141843883884142894199238304\
5511118902389853827204490094986991774283576330027090271506109027875190257057\
7043480256814638470149228327741781863826978817820585577282102009897514908653\
9548815482277639307241535511585712684789638634015402558500514949206669179041\
9279004981986211572300269307831611030582469360889898667911058144945810353298\
0112317637696236107503671241539584
Complex polynomial:
x^96-8*x^92+516*x^88+14504*x^84+646066*x^80+18003432*x^76+6343508*x^72+17732\
84600*x^68-62410202177*x^64+816832593712*x^60+2340685685384*x^56+18302171782\
928*x^52+321496746151676*x^48+1727295230083408*x^44+4885374383915592*x^40+86\
58065705681008*x^36+8843638413553295*x^32+5159089689645144*x^28+271188832567\
1028*x^24+1021464142547656*x^20+235223016563826*x^16+36969533438280*x^12+467\
8836604260*x^8+382700613656*x^4+8882874001
Common denominator of the automorphisms:
9742229608466844274243029012079078937327333334272733102302437047273347234266\
494069470030434952292652757314817347841179393393984073776496640

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.