Group GAP4(80,22)

Name: C5 x (C4 : C4)
Maximal quotients:GAP4(16,4) GAP4(40,9) GAP4(40,10) GAP4(40,11)
Real polynomial:
x^80-240*x^78+27720*x^76-2052000*x^74+109390500*x^72-4473633888*x^70+1459976\
46480*x^68-3905079906240*x^66+87254129155050*x^64-1651683796963200*x^62+2677\
1434800434748*x^60-374588455300910640*x^58+4552902327275271720*x^56-48299446\
005327316800*x^54+448808487145175342700*x^52-3662277217135458668496*x^50+262\
86852252091174501275*x^48-166115220095191704145200*x^46+92435061657071817961\
2000*x^44-4526843202390190495968000*x^42+19488035636476494048327555*x^40-736\
10777296870438768266600*x^38+243329467677492290794903800*x^36-70158191753481\
6900087324000*x^34+1757042156986583179522986000*x^32-38026855223785956618154\
92096*x^30+7068395479279150762775603640*x^28-11200610982056438769485389920*x\
^26+14995421034398257882456252125*x^24-16778709786035067651166761000*x^22+15\
484232802494613591508199868*x^20-11594297446906997425395952080*x^18+69006006\
18413567361767807415*x^16-3179235248455240154992798800*x^14+1094752959888090\
768988363200*x^12-268444720963764012480835968*x^10+4368632723628528166715191\
5*x^8-4223316409977375545254920*x^6+199667766981843854236800*x^4-32657381529\
76903435200*x^2+12847445556753555801
Common denominator of the automorphisms:
1809451057080506178375
Complex polynomial:
x^80+240*x^78+27720*x^76+2052000*x^74+109390500*x^72+4473633888*x^70+1459976\
46480*x^68+3905079906240*x^66+87254129155050*x^64+1651683796963200*x^62+2677\
1434800549444*x^60+374588455321555920*x^58+4552902329040443160*x^56+48299446\
100708510400*x^54+448808490801170558100*x^52+3662277322906723882032*x^50+262\
86854651531913141675*x^48+166115263867199572388400*x^46+92435126999420102045\
4000*x^44+4526851282633520789256000*x^42+19488119121550582638579171*x^40+736\
11502176548981629820520*x^38+243334775910971620291491360*x^36+70161475734259\
4094026932800*x^34+1757213801075058388840879200*x^32+38034422820931174735637\
14560*x^30+7071201079925318275080803400*x^28+11209315636318419505337911200*x\
^26+15017873515629557399536168125*x^24+16826439322516495122648585000*x^22+15\
566924224448264056817002140*x^20+11709399059858005162692728400*x^18+70269921\
01872571148712883575*x^16+3286170455020989894651474000*x^14+1162329997481756\
562395286000*x^12+299027781446185613601806400*x^10+5302611110827782835946887\
5*x^8+5982162190736558601141000*x^6+374295028890220491915000*x^4+95183442124\
40258460000*x^2+10165580536909070025
Common denominator of the automorphisms:
1809451057080506178375

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.