Group GAP4(96,107)

Name: C2 x (C24 : C2)
Maximal quotients:GAP4(32,37) GAP4(48,5) GAP4(48,35)
Real polynomial:

x^96-840*x^94+333360*x^92-83332120*x^90+14758003740*x^88-1974364333800*x^86+\
207743684508000*x^84-17672718426631800*x^82+1239944418595396650*x^80-7283016\
7259642411000*x^78+3622649271921463950000*x^76-153980002067442571257000*x^74\
+5632896641924462678997500*x^72-178363203890759321567295000*x^70+49108658313\
88660944400080000*x^68-117991597574640278284807365000*x^66+24808446163270443\
54496930434375*x^64-45742845660721939121969158050000*x^62+740771121298614405\
844303819900000*x^60-10546686348412735728723240626550000*x^58+13208317681683\
7793991665112157275000*x^56-1455187632535724416482189327486250000*x^54+14099\
274902615570559813240308241000000*x^52-1200557633939314612284933822932167500\
00*x^50+897475633211629669389661006411353187500*x^48-58817589137534785423160\
93685395973750000*x^46+33734544251632432990614429016865647500000*x^44-168968\
766778778787395170823148887031250000*x^42+7372529641729398409998406274710463\
19375000*x^40-2794074637325289551731740814302588018750000*x^38+9166402436892\
070365206138834660911450000000*x^36-2592923265243564059822603599558439630625\
0000*x^34+62953232205394459302038913727186493349609375*x^32-1304815858283009\
22518841003424359805640625000*x^30+22941755196454158067127057667588533934375\
0000*x^28-339599978381220432350473643566547016046875000*x^26+419397506302495\
347657741111291625975742187500*x^24-4273726339368947122780006001765019269531\
25000*x^22+354500420494858262184276179886877785937500000*x^20-23534979914607\
9328756328294090036187734375000*x^18+122406877182539832705337710996708719003\
906250*x^16-48518433191684549619660345984979655859375000*x^14+14131396935911\
122585561589007893589843750000*x^12-2877867286903302202049735306120426953125\
000*x^10+381778913749171139401490619859985742187500*x^8-29568169067160012005\
142699525419921875000*x^6+1091893745100899467808400958125000000000*x^4-11709\
078518230494171671162150390625000*x^2+26988021498217004031467666259765625

Common denominator of the automorphisms:

1016133652410358563845791105819140703929251376319440488592401213553960386018\
2796339474401530957111245654683785082875142551714386393506661891627611602305\
8185632207673550876205222806687765633573707676950154312942699894742235780269\
4850456464654336000000000000

Complex polynomial:

x^96+591364962*x^48+6561

Common denominator of the automorphisms:

27655402320

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.