Group GAP4(96,130)

Name: C2 x ((C3 : C4) : C4)
Maximal quotients:GAP4(32,23) GAP4(48,12) GAP4(48,34) GAP4(48,35) GAP4(48,43)
Real polynomial:
x^96-504*x^94+120816*x^92-18351216*x^90+1985325120*x^88-163027550448*x^86+10\
574667454752*x^84-556728939734688*x^82+24259489753237884*x^80-88782478356832\
0560*x^78+27596589542583935616*x^76-734991950366398840608*x^74+1689026001288\
7822688232*x^72-336773890261699239077424*x^70+5852393753364559974700800*x^68\
-88957512660044258726891616*x^66+1186128797612816942420862582*x^64-139047951\
90193797366103743648*x^62+143562542143698504045188227296*x^60-13071605231038\
41828624634586496*x^58+10505714414624102724233924786904*x^56-745720579316160\
63160796782577232*x^54+467611355839404834570697919669952*x^52-25901460448750\
16149521241811152800*x^50+12668843025243804297475492072427340*x^48-546811881\
17898982336792471702623312*x^46+208070360927037678258726469610322816*x^44-69\
7104724104944301909376079402282208*x^42+205303327250404693978923129526555836\
0*x^40-5304372983577521751075825165507992592*x^38+11993820759008508167191215\
748363021056*x^36-23664724610684995375603711040442005280*x^34+40602937060906\
434561814432362621880209*x^32-60329803082801511506112603756964515816*x^30+77\
248819575759739909799261712303616176*x^28-8474124882015450844778854608203165\
3136*x^26+79085491826243916526669608852494212776*x^24-6226276513841942360440\
4722248112605312*x^22+40928528862736240280543465541076148256*x^20-2218173297\
1024394243905478302444646976*x^18+9755925429444331073036694555371616432*x^16\
-3412641902044273501007100558245541120*x^14+92473366500565628369113438642933\
9776*x^12-187314137565543944687221913059451136*x^10+269666658482299917891316\
65650818944*x^8-2555464137357207377195648775691776*x^6+139778223229310537594\
892450221568*x^4-3307034116338399015803250112512*x^2+74522649927745164282097\
05216
Common denominator of the automorphisms:
5037820257082658643926372096277722898823931938299365863617823417727616854985\
9004240381297863363079283251349650689362862724486999841065766848907502226792\
8436763502263831881810963766419958417969962019102356592720158951437579507208\
09460953010689745094982799814180794529578814684903495874117632
Complex polynomial:
x^96-912*x^90+415872*x^84-465192288*x^78+251542498752*x^72+3906131192064*x^6\
6+30058719183360*x^60+145641058373376*x^54+322747623909504*x^48-226759180022\
784*x^42+73680916930560*x^36-13413731383296*x^30-718956269568*x^24+629170716\
672*x^18+1934917632*x^12+2902376448*x^6+2176782336
Common denominator of the automorphisms:
840929981458711482033187808558253427822307578291070192934912000

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.