Group GAP4(96,61)

Name: C3 x D32
Maximal quotients:GAP4(32,18) GAP4(48,25)
Real polynomial:
x^96-448*x^94+95100*x^92-12745328*x^90+1212393790*x^88-87253568704*x^86+4945\
222286244*x^84-226862466654160*x^82+8592739497123671*x^80-272759005870618976\
*x^78+7340536622106051800*x^76-169023933817671176288*x^74+335447549692080020\
7012*x^72-57721129579817024880128*x^70+865316170210282705138536*x^68-1134613\
2621612828692072480*x^66+130535571736418631027966879*x^64-132102731023669811\
7270480384*x^62+11782684065027631121167268812*x^60-9275830671890937798945670\
0336*x^58+645150666753220654755979623838*x^56-396644931686615135921442215763\
2*x^54+21558763363756011887642380771700*x^52-1035605710836331304705288182231\
20*x^50+439337613601313978418005410191529*x^48-16441146693765948659120672033\
42816*x^46+5418686722898996031927258403172704*x^44-1569533555740941115367339\
1378939264*x^42+39848969114899045331851479065773344*x^40-8839606779660361130\
4800067126191872*x^38+170659404930014270860283548418437888*x^36-285426164446\
570348188323648852583424*x^34+411273801595326026629290580181090560*x^32-5072\
34059661878548077485355924045824*x^30+531336503164705389164896794686648320*x\
^28-468413692682062997640422300006318080*x^26+343741373984352202452767687181\
295616*x^24-207229999600955968879055105501888512*x^22+1009997373102822077453\
62858634379264*x^20-39011841025528729161649434364477440*x^18+116446995566056\
82890570334869258240*x^16-2599010255110023157225460910260224*x^14+4148201247\
12026025391180303302656*x^12-44463671447735381931989563080704*x^10+292275544\
3911023240976655187968*x^8-104104618723740234486818799616*x^6+18453555719369\
78544466329600*x^4-13833938257615455134941184*x^2+22547576304297727492096
Common denominator of the automorphisms:
1199872198007875246686188920335785735658070977244362504715064378276990490012\
0276116998764406897735871630826915690919505907100049602937125397858469615520\
9603774939446162603925622110371603079918901145410963845188884765855816527651\
0408085645126591877695996462621790744553603528346307755467843234609296008564\
0099189742750896567303529419800644399119730362179714174554002853724160000
Complex polynomial:
x^96+208*x^92+17888*x^88+841248*x^84+26702494*x^80+553455552*x^76+7320523904\
*x^72+63906758864*x^68+408079922445*x^64+1756336514400*x^60+5542262805664*x^\
56+11970511377552*x^52+17332110868050*x^48+17263962252992*x^44+1226626633148\
8*x^40+6022790013344*x^36+1970777144206*x^32+418815864272*x^28+57105668768*x\
^24+5053378928*x^20+284137308*x^16+5024336*x^12+65728*x^8+416*x^4+1
Common denominator of the automorphisms:
2238910785582156908725952269876712307232239031291425453610342286774778950280\
580

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.