Group GAP4(80,9)

Name: C2 x (C5 : C8)
Maximal quotients:GAP4(16,5) GAP4(40,1) GAP4(40,7)
Real polynomial:
x^80-4010*x^78+6939305*x^76-7010502550*x^74+4691304293200*x^72-2231167401632\
875*x^70+789111577471089125*x^68-214223271838082612500*x^66+4569264435234564\
4330625*x^64-7794654894836496086878125*x^62+1078300470771568919841253125*x^6\
0-122305739845551728120462156250*x^58+11474636708681274582786359453125*x^56-\
896794548503994822616162915781250*x^54+58720419897228844569711757709609375*x\
^52-3236073432041035657318998733672656250*x^50+15064702492508822027142051459\
8970312500*x^48-5940763218240852945241390642758392578125*x^46+19887398290703\
7167105629459512171318359375*x^44-565977814204713769510564677256245235351562\
5*x^42+137048581538014099602635480106119935517578125*x^40-282435202305879469\
1916230478284092492089843750*x^38+495221154819911584378094099484999360705566\
40625*x^36-738127533492505038652102422489179608022949218750*x^34+93383549611\
66394416075984221642114163675781250000*x^32-10006734538249492535553360899575\
7369127547607421875*x^30+905664843772750964296809860799960133073052978515625\
*x^28-6897946844104219628796256393821718645017791748046875*x^26+440120648372\
69525623457180958159227288419482421875000*x^24-23392003092967903328773755830\
3237891130278961181640625*x^22+102841495300503670492741858483170719637307101\
4404296875*x^20-3707743176750148337230190874988815221198978424072265625*x^18\
+10844208046805758926471903894378515480713844299316406250*x^16-2538163189037\
6728945272736043414944081521034240722656250*x^14+467198411004787695652508176\
58476926693916320800781250000*x^12-66101071192885865050530265334829029627144\
336700439453125*x^10+6968521783651425567233928714859221223741769790649414062\
5*x^8-52354070679626694235033828453054185956716537475585937500*x^6+261508525\
72299766456851316603069426491856575012207031250*x^4-766584373903831484592664\
6447333041578531265258789062500*x^2+9777861912038666895314600060373777523636\
81793212890625
Common denominator of the automorphisms:
2879383203913782113925384144855805094232525302818589197865547242636534834015\
7323186711083641504219563750976785309545882140063591156811521967448938280668\
8958696467923633718155374728730130517372257295765758992949164550978278639718\
8942267640959471464157104492187500000
Complex polynomial:
x^80+95159999376129*x^64+1395460088346365742020330496*x^48+38225386724204860\
91108160432631793975296*x^32+17609899236448747177755076480015685565544818278\
4*x^16+387277935344509664646249420747911506968969216
Common denominator of the automorphisms:
3078039655577121547731719992137619342854086700252205378055678415602084426108\
8248664333536563912726065441261554070744266178560

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.