Group GAP4(50,4)

Name: (C5 x C5) : C2
Maximal quotient:GAP4(10,1)
Real polynomial:

x^50-840*x^48+317700*x^46-71945750*x^44+10943489900*x^42-1188812026500*x^40+\
95729655049375*x^38-5853668276372500*x^36+276193306973325000*x^34-1016153871\
2306512500*x^32+293389949463307355000*x^30-6668400424919920725000*x^28+11934\
8068418445559859375*x^26-1678180831720250313750000*x^24+18451741899159607058\
812500*x^22-157501146644459380448593750*x^20+1033498468612279470985937500*x^\
18-5147086114509324843970312500*x^16+19140586526980875280394140625*x^14-5206\
2825929568414710445312500*x^12+100917954404348128864162500000*x^10-134887942\
774373288848125000000*x^8+119086816336417676425000000000*x^6-651749372176783\
16250000000000*x^4+19729128632726925000000000000*x^2-24934276524391200000000\
00000

Common denominator of the automorphisms:

3734814353077236825761362212608276316390517133132434334808121151366957004566\
6370553334450465077512564721642287195338845755039368389219644412800000000000\
00

Complex polynomial:

x^50+90*x^48+4875*x^46+177660*x^44+4392825*x^42+73148406*x^40+740481195*x^38\
+3584358240*x^36+49336357515*x^34+1841008774630*x^32+28343496425721*x^30+257\
262477115980*x^28+2495715498893835*x^26+31730894049232650*x^24+3630645750597\
79665*x^22+3068152075050527256*x^20+26106724105672923120*x^18+16658623772747\
3660160*x^16+1163844723848809066240*x^14+5163668081154990151680*x^12+2310730\
1146200449028096*x^10+58425837176046321008640*x^8+99714755933579551703040*x^\
6+151088620138472102952960*x^4+152400998535874058649600*x^2+5274225894498534\
1624320

Common denominator of the automorphisms:

1876386027951403007819222835311733556275836802834066368172819874119686228005\
1769866091579993704575795200

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.