Group GAP4(80,2)

Name: C80
Maximal quotients:GAP4(16,1) GAP4(40,2)
Real polynomial:
x^80-x^79-80*x^78+79*x^77+3080*x^76-3002*x^75-76000*x^74+73075*x^73+1350500*\
x^72-1280274*x^71-18410016*x^70+17197195*x^69+200271119*x^68-184222065*x^67-\
1785587452*x^66+1616330980*x^65+13298904840*x^64-11837948199*x^63-8391418470\
5*x^62+73395700873*x^61+453375924079*x^60-389320732735*x^59-2114555209376*x^\
58+1781127087063*x^57+8567021578278*x^56-7071591908941*x^55-30294157080495*x\
^54+24480020541060*x^53+93831810558040*x^52-74146378063074*x^51-255215952919\
352*x^50+196979481463851*x^49+610597721020399*x^48-459717430521578*x^47-1286\
098480966202*x^46+943284948000314*x^45+2385238369320545*x^44-170177827372873\
0*x^43-3893085380810740*x^42+2697710914504475*x^41+5585094718982609*x^40-375\
2732714658134*x^39-7029279603051835*x^38+4571791348784721*x^37+7740866997845\
061*x^36-4864350221032749*x^35-7433340528163637*x^34+4504426880169976*x^33+6\
197820281249928*x^32-3614398810074214*x^31-4463537910537392*x^30+24997686428\
61730*x^29+2758955809316140*x^28-1480566021226782*x^27-1452459838477110*x^26\
+745133641572443*x^25+645265821262385*x^24-315659636823981*x^23-239213452021\
614*x^22+111271289709117*x^21+73000128316558*x^20-32178209610504*x^19-180332\
29982290*x^18+7499545514161*x^17+3531598966391*x^16-1377001191633*x^15-53400\
3755351*x^14+193335201518*x^13+60251857391*x^12-19933319002*x^11-4848585875*\
x^10+1424728723*x^9+261603584*x^8-64694510*x^7-8663170*x^6+1615798*x^5+15277\
2*x^4-17092*x^3-1008*x^2+48*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^80-x^79+5*x^78-6*x^77+20*x^76-27*x^75+75*x^74-110*x^73+275*x^72-429*x^71+1\
001*x^70-1637*x^69+3639*x^68-6172*x^67+13243*x^66-23104*x^65+48280*x^64-2803\
4*x^63+118285*x^62-29512*x^61+296814*x^60-24185*x^59+796084*x^58-32131*x^57+\
2282982*x^56-247513*x^55+6918981*x^54-1759778*x^53+21876348*x^52-9698960*x^5\
1+71415588*x^50-46222031*x^49+238918237*x^48-202339065*x^47+370200903*x^46-3\
95551947*x^45+598805684*x^44-702311805*x^43+1002615056*x^42-1198990286*x^41+\
1701649990*x^40-1981636235*x^39+2885731974*x^38-3112971142*x^37+4805030649*x\
^36-4356460580*x^35+7562110063*x^34-4119678984*x^33+9996616691*x^32+44753486\
53*x^31+4822211550*x^30+3674051562*x^29+3170669508*x^28+2569508740*x^27+2193\
340675*x^26+1752336573*x^25+1543492261*x^24+1166680328*x^23+1114767670*x^22+\
732080031*x^21+844218277*x^20+384871612*x^19+677258251*x^18+83875265*x^17+51\
5037713*x^16-146595013*x^15+41725295*x^14-11876254*x^13+3380337*x^12-962142*\
x^11+273856*x^10-77946*x^9+22187*x^8-6314*x^7+1798*x^6-511*x^5+146*x^4-41*x^\
3+12*x^2-3*x+1
Common denominator of the automorphisms:
73841114427407758595215909549

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.