Group GAP4(72,34)

Name: C2 x ((C3 x C3) : C4)
Maximal quotients:GAP4(24,7) GAP4(36,7) GAP4(36,13)
Real polynomial:
x^72-600*x^70+167724*x^68-29099760*x^66+3521083536*x^64-316489376736*x^62+21\
975191354952*x^60-1210018599218304*x^58+53820451350042390*x^56-1959680352835\
843920*x^54+58984187651575224048*x^52-1478015979456830535648*x^50+3098906637\
2747245220436*x^48-545507526227073914089440*x^46+8078539699014065750229912*x\
^44-100729970378304947580690432*x^42+1057202817969117461259695985*x^40-93275\
12463809731229648068632*x^38+69020722703166601562913535812*x^36-426927684313\
948365394037964720*x^34+2197737099167591513409930325620*x^32-936286982874082\
4230562152673664*x^30+32780395802282845644272485135296*x^28-9349988851251805\
8031298780071680*x^26+214915259651162553564085543555872*x^24-392616234131635\
890800489617194240*x^22+559886358258596877960411708008832*x^20-6084402905003\
66892010376082086400*x^18+487384526778882238812182456670336*x^16-27429514176\
5113755225593071097856*x^14+100849391223658571771136625591296*x^12-215568629\
92112340967507233091584*x^10+2189614966001311792377282133248*x^8-60992993372\
329596673681643520*x^6+545786202839948665637225472*x^4-762744602889293066809\
344*x^2+206604894664671151104
Common denominator of the automorphisms:
3474040315684922289262388622845044573511051250411958873712598648728712727435\
2082451888880147008331263146848358493266794054378999151460187663693301467804\
0254687171433511206587990016
Complex polynomial:
x^72-185*x^69+20656*x^66-1266300*x^63-54363253*x^60-19066573910*x^57+4206997\
093723*x^54-521938570501300*x^51+38623073758395405*x^48+126519484109449000*x\
^45+241574324688976072*x^42+269779588421609155*x^39-84986619805510313*x^36+7\
18181872721743450*x^33+2887893239566078264*x^30+6131173385811905680*x^27+800\
6888665774080816*x^24+1654244432829982400*x^21+209396075819416000*x^18+14195\
840660800000*x^15-379431724000000*x^12+354337200000000*x^9+85996000000000*x^\
6+12100000000000*x^3+1000000000000
Common denominator of the automorphisms:
272117007511083849263902653980941933364887648311549309160091000000000000

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.