Group GAP4(80,34)

Name: (C2 x (C5 : C4)) : C2
Maximal quotients:GAP4(16,3) GAP4(40,12)
Real polynomial:
x^80-720*x^78+243840*x^76-51760880*x^74+7741735620*x^72-869414782512*x^70+76\
278386536120*x^68-5370613816737840*x^66+309314093595129270*x^64-147788670259\
47227600*x^62+592020950447579772744*x^60-20043102158142868726800*x^58+576975\
403591539041666860*x^56-14186687120292478596537360*x^54+29892407403232205835\
0167400*x^52-5409623038006373616081611408*x^50+84193029240353731521919730145\
*x^48-1127496854306969775428351767200*x^46+12989475890072103533939278296760*\
x^44-128620779815513426440249835357760*x^42+10929240232044253266792528359150\
16*x^40-7951675692078190823036507186468480*x^38+4939262931585884688989887588\
5400800*x^36-261010225706816433762115365231897600*x^34+116845538717091193291\
6303244114917360*x^32-4409659446771257612890281737133757440*x^30+13951936646\
760346765708569372929376000*x^28-36781707841416070656764795396858419200*x^26\
+80256104266861769181101449642271404800*x^24-1438826642488065587215251077407\
14393600*x^22+210272751672714804090609654761945134080*x^20-24830728978241297\
3869619383008427315200*x^18+234558423644142427055732462034549600000*x^16-175\
109554933465818266591899863905280000*x^14+1017520512274373224922057096097375\
74400*x^12-45103988992277954361410774726628556800*x^10+148332447887694056818\
67651514156288000*x^8-3474388639078015395038673341288448000*x^6+543116911713\
378065163473174092800000*x^4-50303532633446034684631362060288000*x^2+2065891\
047990495911537149551513600
Common denominator of the automorphisms:
1277751678666669387337994859765121801546342661384574496494244278290961524563\
3407438057644714922104024169688161474267573176694132108482764560646214677589\
9715709442817677328429053707069566222336000
Complex polynomial:
x^80+203240*x^60-1888050*x^40+5081000*x^20+625
Common denominator of the automorphisms:
56994300000

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.