Group GAP4(80,26)

Name: C5 x QD16
Maximal quotients:GAP4(16,8) GAP4(40,10)
Real polynomial:
x^80-216*x^78+21528*x^76-1318896*x^74+55822062*x^72-1739184768*x^70+41497765\
056*x^68-778882483584*x^66+11720786118345*x^64-143398573317864*x^62+14413261\
85676936*x^60-11995092674099208*x^58+83137368008502090*x^56-4819251923197324\
56*x^54+2343315602686819392*x^52-9575385297544449576*x^50+329125301335440132\
12*x^48-95170890905853022224*x^46+231387924316870340064*x^44-472456470542941\
434600*x^42+808770961577781637272*x^40-1158202103654196409680*x^38+138390396\
0213303965160*x^36-1375581155555644812576*x^34+1133576567864914129731*x^32-7\
71513153619139929656*x^30+431813652622680069648*x^28-197780993734295002536*x\
^26+73714649019338890206*x^24-22208515149378365712*x^22+5365608584326543296*\
x^20-1029424702604119632*x^18+154907541606602943*x^16-17992076774804496*x^14\
+1578742518242160*x^12-101608100499096*x^10+4597729885674*x^8-137222317728*x\
^6+2435180760*x^4-21257640*x^2+59049
Common denominator of the automorphisms:
4358127558377813858377162305149777804828830900985230991980613842725738286586\
1670911187708432320159245513223187560098855672661683590052449829571171935901\
30081147180
Complex polynomial:
x^80+6168*x^72+8681488*x^64+2719080576*x^56+292964916224*x^48+10287969263616\
*x^40+90842469478400*x^32+240666504953856*x^24+35566793981952*x^16+365203292\
16*x^8+1048576
Common denominator of the automorphisms:
2588288817422396248327045503630366411109270393192448

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