Group GAP4(40,1)

Name: C5 : C8
Maximal quotients:GAP4(8,1) GAP4(20,1)
Real polynomial:

x^40-1460*x^38+868700*x^36-275283000*x^34+51725358150*x^32-6176870758160*x^3\
0+491420393585500*x^28-26878872464105000*x^26+1030998975948170625*x^24-28025\
187059539441500*x^22+541029402859231731200*x^20-7373362992944968288000*x^18+\
69897143684392813760000*x^16-449602957472869868800000*x^14+18926126318590325\
45280000*x^12-4971507579728811089920000*x^10+7689941209628807372800000*x^8-6\
377162534869561344000000*x^6+2284499686935429120000000*x^4-12912212325087313\
9200000*x^2+1391214795969003520000

Common denominator of the automorphisms:

7627012100856033149027706225179408895732783095326920321888616546364425492234\
24000

Complex polynomial:

x^40+1460*x^38+868700*x^36+275283000*x^34+51725358150*x^32+6176870758160*x^3\
0+491420393585500*x^28+26878872464105000*x^26+1030998975948170625*x^24+28025\
187059539441500*x^22+541029402859231731200*x^20+7373362992944968288000*x^18+\
69897143684392813760000*x^16+449602957472869868800000*x^14+18926126318590325\
45280000*x^12+4971507579728811089920000*x^10+7689941209628807372800000*x^8+6\
377162534869561344000000*x^6+2284499686935429120000000*x^4+12912212325087313\
9200000*x^2+1391214795969003520000

Common denominator of the automorphisms:

7627012100856033149027706225179408895732783095326920321888616546364425492234\
24000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.