Group GAP4(96,42)

Name: (C3 x Q8) : C4
Maximal quotients:GAP4(32,10) GAP4(48,17) GAP4(48,18) GAP4(48,19)
Real polynomial:
x^96-5100*x^94+9474576*x^92-8727768720*x^90+4790243698887*x^88-1734282301376\
508*x^86+440096689888845600*x^84-81361166778858049116*x^82+11244230874069041\
083827*x^80-1182685857228772080095844*x^78+95912433932874226900414152*x^76-6\
057004398017803964803518000*x^74+300292032129472066902795272020*x^72-1177080\
0871606931040812664998040*x^70+367133218828476577410644084492676*x^68-916441\
4616950349304182874462901616*x^66+184006744162214053788521686162359567*x^64-\
2983996642657286970404875270184402700*x^62+392034387376653495001295094567240\
89652*x^60-418050671912187631178780256849770041908*x^58+36207221180808458017\
21851227074487757930*x^56-25454197313872057403263203803471532218040*x^54+144\
982398254817455993585264315749602393168*x^52-6670102877486364539752707840833\
30857497288*x^50+2468276552611136259382588072798658009981865*x^48-7308913259\
776403823002968833868311836140680*x^46+1721520041824494751757053731529950997\
9997652*x^44-32041258036259864394219103190862516322859328*x^42+4679401041326\
7908987822265191701001067668988*x^40-532278364478663268184460016642967901115\
08640*x^38+46791665660427838932332983210434932863408560*x^36-315279411016432\
94857634602091413587044140224*x^34+16141980514499654613113535413115701336528\
880*x^32-6224929236151029418247570066130782984499840*x^30+179315229429614070\
9706179135769617109467456*x^28-383101898432866102860375098095867629029376*x^\
26+60360669114936334898494711395372723493888*x^24-69770311812689292956690956\
06870424534016*x^22+587796366018002318631787613381653279488*x^20-35741315028\
417290584918282300639610880*x^18+1545564482050243570863308464170581760*x^16-\
46545443733878001773589304568481792*x^14+950226462593674446050777052198912*x\
^12-12767678634504777376069423214592*x^10+110098828417809089400859895808*x^8\
-593283893800952227536322560*x^6+1908702218390048700407808*x^4-3321897591700\
796669952*x^2+2386420683693101056
Common denominator of the automorphisms:
5524039166349944897103649760228577461469776824461801298151788254074388885204\
5997691135119984879929819928432344932861417192895050802693799474117765002225\
8182903437797290483637158977917447828463476552003439642224373448206281235153\
0365000612590733054665484090370626114733654017913882167524915382590528604178\
1533032222697228862208721149459956945070012481492807270400
Complex polynomial:
x^96+5100*x^94+9474576*x^92+8727768720*x^90+4790243698887*x^88+1734282301376\
508*x^86+440096689888845600*x^84+81361166778858049116*x^82+11244230874069041\
083827*x^80+1182685857228772080095844*x^78+95912433932874226900414152*x^76+6\
057004398017803964803518000*x^74+300292032129472066902795272020*x^72+1177080\
0871606931040812664998040*x^70+367133218828476577410644084492676*x^68+916441\
4616950349304182874462901616*x^66+184006744162214053788521686162359567*x^64+\
2983996642657286970404875270184402700*x^62+392034387376653495001295094567240\
89652*x^60+418050671912187631178780256849770041908*x^58+36207221180808458017\
21851227074487757930*x^56+25454197313872057403263203803471532218040*x^54+144\
982398254817455993585264315749602393168*x^52+6670102877486364539752707840833\
30857497288*x^50+2468276552611136259382588072798658009981865*x^48+7308913259\
776403823002968833868311836140680*x^46+1721520041824494751757053731529950997\
9997652*x^44+32041258036259864394219103190862516322859328*x^42+4679401041326\
7908987822265191701001067668988*x^40+532278364478663268184460016642967901115\
08640*x^38+46791665660427838932332983210434932863408560*x^36+315279411016432\
94857634602091413587044140224*x^34+16141980514499654613113535413115701336528\
880*x^32+6224929236151029418247570066130782984499840*x^30+179315229429614070\
9706179135769617109467456*x^28+383101898432866102860375098095867629029376*x^\
26+60360669114936334898494711395372723493888*x^24+69770311812689292956690956\
06870424534016*x^22+587796366018002318631787613381653279488*x^20+35741315028\
417290584918282300639610880*x^18+1545564482050243570863308464170581760*x^16+\
46545443733878001773589304568481792*x^14+950226462593674446050777052198912*x\
^12+12767678634504777376069423214592*x^10+110098828417809089400859895808*x^8\
+593283893800952227536322560*x^6+1908702218390048700407808*x^4+3321897591700\
796669952*x^2+2386420683693101056
Common denominator of the automorphisms:
5524039166349944897103649760228577461469776824461801298151788254074388885204\
5997691135119984879929819928432344932861417192895050802693799474117765002225\
8182903437797290483637158977917447828463476552003439642224373448206281235153\
0365000612590733054665484090370626114733654017913882167524915382590528604178\
1533032222697228862208721149459956945070012481492807270400

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.