Group GAP4(80,4)

Name: C8 x D10
Maximal quotients:GAP4(16,5) GAP4(40,5)
Real polynomial:

x^80-3208*x^78+4755860*x^76-4337767776*x^74+2733874603202*x^72-1267726204140\
400*x^70+449708221898243592*x^68-125285958148758409664*x^66+2792934810644054\
8490240*x^64-5051477723652893311260032*x^62+749143461590806627688898144*x^60\
-91853287462443635020391512960*x^58+9373171257630647232449031606792*x^56-800\
375443812656914790877808630080*x^54+57447790464915482095726558355392864*x^52\
-3479151031839480936196170167650006400*x^50+17835627373925903633515662088759\
0073680*x^48-7760543013508417939980945287270925305984*x^46+28724363441047028\
7661539477332230095703232*x^44-9059875057224319738169783215978970694424832*x\
^42+243809144981266155649712176424840407094700576*x^40-560200216225845198155\
1035637262709698988027648*x^38+109914819706821096569870088647739949850717704\
576*x^36-1840603130278235191622876604265020689957735394816*x^34+262730002266\
48814584785559461772706885553062470976*x^32-31900832626946837776850571876933\
4438209818788424192*x^30+328493182333190777110134050917302328763060352438144\
0*x^28-28569335416878329999259242212941898616001937063293952*x^26+2087314264\
28264426626979476527287391118047086812438656*x^24-12723190130867651107756974\
34053594565936188281456105472*x^22+64141067486630575882957246990677712427744\
46583003589632*x^20-26451134550589270599835926933750941748217921307481522176\
*x^18+88011888298565650340720855359491365838070746940779364352*x^16-23222730\
3524087201736869196279822956200443249563296800768*x^14+475421132842549794194\
127844981616066238662564576600556544*x^12-7344864217343957530676727779783879\
19520797174625630367744*x^10+82619440031496664770225288038185346662363302816\
1935491584*x^8-645080209653615907836237533308469763168377910724902354944*x^6\
+326140936890211190592534074993529963534524886233078835200*x^4-9468417425735\
7239766592697970972318825226772401422344192*x^2+1183552178216965497082408724\
6371539853153346550177793024

Common denominator of the automorphisms:

6096150928104662922357817442926041862598108117458854597787179285787735184817\
229418951885502543234582295716301602278362658493615227641010688

Complex polynomial:

x^80+91842*x^64+2188639681*x^48+91052278016*x^32+569867031805952*x^16+109951\
1627776

Common denominator of the automorphisms:

649597918781177028631405055180800

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.