Group GAP4(96,112)

Name: C2 x (C3 : Q16)
Maximal quotients:GAP4(32,41) GAP4(48,8) GAP4(48,36)
Real polynomial:
x^96-2160*x^94+2037960*x^92-1113523200*x^90+394734171600*x^88-96635174688000\
*x^86+17019626426586000*x^84-2221851032058240000*x^82+220025027462209278750*\
x^80-16834429382303560500000*x^78+1009920965499373781475000*x^76-48070983036\
266167266000000*x^74+1832916195337312868166000000*x^72-564227909881018421830\
20000000*x^70+1411300854169951539574625625000*x^68-2884025986728206823524655\
0000000*x^66+483761322295045282270358363671875*x^64-668825085547370824069569\
1031250000*x^62+76498027584221917392341128734375000*x^60-7262457561690039043\
13373412500000000*x^58+5739668663205867718825605341250000000*x^56-3785808794\
0095751386749549975000000000*x^54+208836954831423899631424786027734375000*x^\
52-965016814064567228870431674656250000000*x^50+3739588738256054707866083512\
296386718750*x^48-12159820465381035617052767806757812500000*x^46+33178799852\
665048347505252763027343750000*x^44-7592721589461027191866775942343750000000\
0*x^42+145566895642002211738103898416894531250000*x^40-233413650319513107735\
842228085937500000000*x^38+312315134581340865444553318430419921875000*x^36-3\
47684527575292167063874554433593750000000*x^34+32086155773989835648260846997\
0855712890625*x^32-244376201651439502125583827868652343750000*x^30+152784698\
471041065876677097619628906250000*x^28-7790802376107212601191459912109375000\
0000*x^26+32151747142634455533774603515625000000000*x^24-1063901080434140223\
4893735351562500000000*x^22+2791167590998837280839833984375000000000*x^20-57\
2704263907093871055175781250000000000*x^18+903852972179280407195068359375000\
00000*x^16-10748975914362758607421875000000000000*x^14+938769743227758011718\
750000000000000*x^12-58248063199878398437500000000000000*x^10+24562411947928\
12500000000000000000*x^8-66145305839062500000000000000000*x^6+10387549476562\
50000000000000000*x^4-8303765625000000000000000000*x^2+256289062500000000000\
00000
Common denominator of the automorphisms:
6294659959926130528966829043083143034083554323649251385476684969093329179028\
9802978475698108438507178252028116885025813451306698354829537016769012112736\
56794638245472908020019531250000000000000000
Complex polynomial:
x^96+972011040*x^88+364299833395574010*x^80+45287328073373070752891824*x^72+\
2695407468468600656450095353595845*x^64+772253494666400985168231737420259588\
11280*x^56+1060460140965456919724338751509903953611699265441*x^48+4863282579\
038374057800040695691622758020982986453688320*x^40+8711915524457524858731409\
066188624979807849980726780672737280*x^32+5579951773934179160984092708408767\
63064513012264219584301486833664*x^24+13497744707716378608387822015684221785\
950535609529821916418768780656640*x^16+8541678285181180428868765249401770353\
1634212113894317367434418430159093760*x^8+2017343391731775168796541236644883\
52513810558310247739873233289683274926391296
Common denominator of the automorphisms:
2132653290049849530558694166772544436374800359823185203374527918245457319097\
0593140536045213912528448207172431953436145538348068697948265563249704960000\
0

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.