Group GAP4(96,136)

Name: (C12 x C2 x C2) : C2
Maximal quotients:GAP4(32,30) GAP4(48,37) GAP4(48,43)
Real polynomial:
x^96-432*x^94+89100*x^92-11685384*x^90+1095056766*x^88-78121942344*x^86+4414\
146432408*x^84-202925650326624*x^82+7737861871501749*x^80-248277331765192968\
*x^78+6777257360902877520*x^76-158738938014114833904*x^74+321179714764701473\
2554*x^72-56436786755840790302760*x^70+864885560982323351679540*x^68-1159788\
4337526045386778648*x^66+136439267977535680090387242*x^64-141085214234179324\
7141385792*x^62+12841248764860478268931183140*x^60-1029692214359139072939862\
94712*x^58+727749545524666104415709646774*x^56-45337211035254996566092624362\
96*x^54+24887679060916973050503803533728*x^52-120301195703683695554383057516\
464*x^50+511510303396187774630901732359853*x^48-1910398844728475414269953559\
679736*x^46+6256118925879338499489067247229024*x^44-179248686501105735019181\
87066851248*x^42+44818521023556553402456568210205990*x^40-974981673408738569\
36620938884633016*x^38+183884394966409517703496075022129676*x^36-29945517582\
7535566207660152475724136*x^34+419088014506411515826863827235830730*x^32-501\
280301707896011458319230926385440*x^30+509179766394841100935370941271344668*\
x^28-435904069821046585713112006354075848*x^26+31168798231886613757996201752\
1733178*x^24-184124498615079552188208751277665368*x^22+886562917029502222303\
58180320254960*x^20-34207678616414509918480225676766768*x^18+103456638131508\
01053479841541410645*x^16-2380642761865015974115368214490088*x^14+3996349602\
84008526611060861323464*x^12-45914227157627580635943780719232*x^10+323933504\
5808210714160052592622*x^8-111722333317079510702887491384*x^6+78623990927381\
2515061797252*x^4-613670985473865021367704*x^2+78117230966435163441
Common denominator of the automorphisms:
3973425020146473947988948976670054591396864417726404865273285805056256933825\
6016147250757685259538090934271029664031926281437364643685585734488659887686\
3557205202539005791453209892862503517680324862991235893525405744329143709613\
7410964100350412324864
Complex polynomial:
x^96-504*x^90+127008*x^84-6058152*x^78+148096260*x^72-916529256*x^66+3123782\
496*x^60-7319154168*x^54+13731581862*x^48-21957462504*x^42+28114042464*x^36-\
24746289912*x^30+11995797060*x^24-1472130936*x^18+92588832*x^12-1102248*x^6+\
6561
Common denominator of the automorphisms:
1061276434511830652448822528

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.