Group GAP4(96,217)

Name: (Q8 x S3) : C2
Maximal quotients:GAP4(32,50) GAP4(48,51)
Real polynomial:
x^96-360*x^94+59184*x^92-5927040*x^90+407027208*x^88-20457377280*x^86+784258\
090560*x^84-23595936688800*x^82+568893556746288*x^80-11166482045462400*x^78+\
180666105119850816*x^76-2433452719492448640*x^74+27508543848704520640*x^72-2\
62730590972050718080*x^70+2131911637963679241216*x^68-1476627059302864867584\
0*x^66+87643855166273291763072*x^64-447255763838645502504960*x^62+1967775504\
902532537108480*x^60-7481286596444160823027200*x^58+246246345702596185345128\
96*x^56-70274611728713998119628800*x^54+174078815086219929790141440*x^52-374\
579163482798816510699520*x^50+700444603249586149002880512*x^48-1138333365985\
786437637601280*x^46+1607353080924016059900309504*x^44-197070402932579104536\
1582080*x^42+2095820442063217996696442880*x^40-1930557182264202124413665280*\
x^38+1537384775535415467392385024*x^36-1055866710156122837297848320*x^34+623\
547245222880220586446848*x^32-315490792611906263819059200*x^30+1361618013655\
92950665297920*x^28-49863462509331949703823360*x^26+153962070137064959145902\
08*x^24-3977730265001341384949760*x^22+852007152877925975064576*x^20-1496116\
30816986100531200*x^18+21242817734852477485056*x^16-2397270990273262387200*x\
^14+210378065900234342400*x^12-13955052370083840000*x^10+673505546526720000*\
x^8-22413017088000000*x^6+474034176000000*x^4-5529600000000*x^2+25600000000
Common denominator of the automorphisms:
9089426563292831706310892138341612552420571875707420023936415096743803093799\
9733109668955103056755244640596573098730129964430247490600920667363288830774\
1491200000000
Complex polynomial:
x^96+9000*x^90+40500000*x^84+110197125000*x^78+165436220531250*x^72+71742966\
890625000*x^66+17222949632812500000*x^60+2584508016533203125000*x^54+2247391\
39589843994140625*x^48+7753524049599609375000000*x^42+1550065466953125000000\
00000*x^36+1937060106046875000000000000*x^30+13400333863031250000000000000*x\
^24+26777901375000000000000000000*x^18+29524500000000000000000000000*x^12+19\
683000000000000000000000000*x^6+6561000000000000000000000000
Common denominator of the automorphisms:
618942284564682672602903597730206591412000000000000000000000000

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.