Group GAP4(80,43)

Name: C2 x C2 x (C5 : C4)
Maximal quotients:GAP4(16,10) GAP4(40,7) GAP4(40,13)
Real polynomial:
x^80-800*x^78+293350*x^76-65756320*x^74+10139353775*x^72-1147357953840*x^70+\
99250215068050*x^68-6749437088584000*x^66+368221322351646825*x^64-1636286325\
8574578000*x^62+599226032617596053700*x^60-18249557175116529619000*x^58+4655\
16153757338482498750*x^56-10001073528551381271593000*x^54+181734305409968499\
299210000*x^52-2802081907389444233884127000*x^50+367401207175854594658242062\
50*x^48-410211866092493576268665125000*x^46+3902425676459690103638635150000*\
x^44-31626237090252578124986940375000*x^42+218152223043928648507529016418750\
*x^40-1278698586834307306522653362625000*x^38+635396652755445243354505253531\
2500*x^36-26681885122622278186328540580125000*x^34+9430471186296083494737947\
8132265625*x^32-279141866733868869495444596947675000*x^30+687760962482404117\
484896739304531250*x^28-1400068723192244834425572137008125000*x^26+233375502\
4178656404262678224795609375*x^24-3150700961885305036712045974648125000*x^22\
+3399308140443709496244012981256843750*x^20-28827174995751456958708665752056\
25000*x^18+1881785199267051762862373523131640625*x^16-9204644438023869339218\
87663988125000*x^14+325519655091929037702393104681250000*x^12-79194632918634\
837650120276260000000*x^10+12312883783218087234339868200000000*x^8-108482911\
6130321097613364000000000*x^6+43587869358286323041894400000000*x^4-611224608\
490587905408000000000*x^2+1971664787587722265600000000
Common denominator of the automorphisms:
2548807183555932827507371483781723165419091716742410307248264478619574668541\
5989618476593755773332808283756642979295575178490342865805466442522790869804\
5358263827554673019450950150737856721181638081099747499721400405473885463135\
93198794116543283200000000000
Complex polynomial:
x^80+14146778404*x^60-481481091824136472794*x^40+951724509960304937459874809\
5204*x^20+452592555681759518058893560348969204658401
Common denominator of the automorphisms:
147431424497072373333455670632468354301534504814156800

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.