Group GAP4(72,25)

Name: C3 x SL(2,3)
Maximal quotients:GAP4(24,3) GAP4(36,11)
Real polynomial:
x^72-252*x^70+29190*x^68-2067784*x^66+100540552*x^64-3570034944*x^62+9617571\
2328*x^60-2016192257184*x^58+33476447607232*x^56-445823092943616*x^54+480546\
6819491520*x^52-42192964022285440*x^50+303070684990798912*x^48-1785463157178\
437632*x^46+8635619531990105088*x^44-34276057450219483648*x^42+1114506827620\
47831552*x^40-295969929848618403840*x^38+639158744364668677632*x^36-11161689\
23777968736256*x^34+1565310277867298385920*x^32-1748276833554901827584*x^30+\
1540001168552142141440*x^28-1057917356087262748672*x^26+55964318615948728729\
6*x^24-224865685981542301696*x^22+67647665708042305536*x^20-1501848961591197\
6960*x^18+2424724466034884608*x^16-280078265261096960*x^14+22688460254707712\
*x^12-1256337513381888*x^10+46009424412672*x^8-1066676781056*x^6+14595653632\
*x^4-102760448*x^2+262144
Common denominator of the automorphisms:
1968762778485623268386686965691619185334155165361055138177698638614492724919\
12911215873301092465346178662555438753435375365564530688
Complex polynomial:
x^72+252*x^70+29190*x^68+2067784*x^66+100540552*x^64+3570034944*x^62+9617571\
2328*x^60+2016192257184*x^58+33476447607232*x^56+445823092943616*x^54+480546\
6819491520*x^52+42192964022285440*x^50+303070684990798912*x^48+1785463157178\
437632*x^46+8635619531990105088*x^44+34276057450219483648*x^42+1114506827620\
47831552*x^40+295969929848618403840*x^38+639158744364668677632*x^36+11161689\
23777968736256*x^34+1565310277867298385920*x^32+1748276833554901827584*x^30+\
1540001168552142141440*x^28+1057917356087262748672*x^26+55964318615948728729\
6*x^24+224865685981542301696*x^22+67647665708042305536*x^20+1501848961591197\
6960*x^18+2424724466034884608*x^16+280078265261096960*x^14+22688460254707712\
*x^12+1256337513381888*x^10+46009424412672*x^8+1066676781056*x^6+14595653632\
*x^4+102760448*x^2+262144
Common denominator of the automorphisms:
1968762778485623268386686965691619185334155165361055138177698638614492724919\
12911215873301092465346178662555438753435375365564530688

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.