Group GAP4(80,24)

Name: C5 x (C8 : C2)
Maximal quotients:GAP4(16,6) GAP4(40,9)
Real polynomial:

x^80-400*x^78+77000*x^76-9500000*x^74+844062500*x^72-57531300000*x^70+312923\
6250000*x^68-139499025000000*x^66+5194885566406250*x^64-163894981250000000*x\
^62+4427505850659190500*x^60-103250136447757150000*x^58+20915744565007063750\
00*x^56-36980765467570925000000*x^54+572721601436604070312500*x^52-778901407\
0651118081250000*x^50+93179133883701042529296875*x^48-9813827791690125820312\
50000*x^46+9101541113108716699218750000*x^44-74288823329303365234375000000*x\
^42+533024708266939165348031571875*x^40-3355637140379133850856314375000*x^38\
+18487960773831967462143650000000*x^36-88847749516582149673873125000000*x^34\
+370894032825811402994917187500000*x^32-1338160183982245671134510000000000*x\
^30+4147487196292681338373814453125000*x^28-10963125632369079665444023437500\
000*x^26+24502948821976627251640167236328125*x^24-45836118717243920451898193\
359375000*x^22+70902441972503271281972142314062500*x^20-89408294116540704179\
880247031250000*x^18+90368597235502822284402533740234375*x^16-71756421763178\
216859922324218750000*x^14+43695815456694414542913720703125000*x^12-19809633\
311102120084574335937500000*x^10+6435499127915832237529510498046875*x^8-1421\
060853408038665477294921875000*x^6+196763758810520249145507812500000*x^4-148\
26893529386278076171875000000*x^2+439644706261054933382822265625

Common denominator of the automorphisms:

79153900015018687980084922164432362754174716779296875

Complex polynomial:

x^80+608272*x^64+36431187968*x^48+42853544210432*x^32+35318079356928*x^16+10\
48576

Common denominator of the automorphisms:

197946446808464143050414220758745088

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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