Group GAP4(72,35)

Name: (C6 x C6) : C2
Maximal quotients:GAP4(24,8) GAP4(36,13)
Real polynomial:
x^72-1260*x^70+739746*x^68-269491320*x^66+68442622731*x^64-12906887467320*x^\
62+1879609926650526*x^60-217044832803776460*x^58+20249051655328993161*x^56-1\
547322200565910050240*x^54+97835090124619934074548*x^52-51574431951926924222\
17080*x^50+227936480691177137848126158*x^48-8478858417933835623100318560*x^4\
6+266138952635675647080198624888*x^44-7058261974538051056705934441160*x^42+1\
58191682113305137861003094684498*x^40-2993434897718149764260414311275480*x^3\
8+47729298350907130780255670423251128*x^36-639243087415719072512825930648249\
520*x^34+7160191079608124192193350441735660526*x^32-666959198782702853852301\
20049188993160*x^30+512968950100605472711399527332986726596*x^28-32291215191\
51122527500823688303009826120*x^26+16460918224687770135856065787172134915881\
*x^24-67090796263128032274877322944737375340020*x^22+21535471313315185466093\
7322741568143503726*x^20-534859373992947888694864874798531174146560*x^18+100\
6840577774710920997785145538531921225211*x^16-140239828254757176577415749563\
8551478856240*x^14+1404931214781643527364802772469973202400050*x^12-97843114\
9504592920970098657665694398274500*x^10+454371573032114024410602222881795139\
050625*x^8-133560738165034526714615050346565787275000*x^6+231801710860019139\
88389376531067088750000*x^4-2119935181526062359362836510205250000000*x^2+774\
43219705600349637162930562500000000
Common denominator of the automorphisms:
8455265153110166290329475264771853446218238194273393656304213389434050852793\
6754005145964874900338961181207008780932550183697323006979898439039807678809\
03521280000000000
Complex polynomial:
x^72+3654*x^60+1896831*x^48+350838108*x^36+223951959*x^24-199746*x^12+729
Common denominator of the automorphisms:
55410517834452000

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.