# Group GAP4(64,159)

Name: (C8 : C4) : C2
Maximal quotients:GAP4(32,29) GAP4(32,42) GAP4(32,43)
Real polynomial:
```x^64-192*x^62+16704*x^60-876192*x^58+31099032*x^56-794437632*x^54+1516422009\
6*x^52-221609032416*x^50+2520062659836*x^48-22542551940672*x^46+159745425037\
632*x^44-900655863710112*x^42+4049437821871464*x^40-14531623509414528*x^38+4\
1616926116214976*x^36-95046839136354528*x^34+172904952918902310*x^32-2501584\
10867043648*x^30+287283576350342592*x^28-261200425320428256*x^26+18736381693\
6476840*x^24-105527637147882240*x^22+46362655414260288*x^20-1574744743926057\
6*x^18+4085157277801404*x^16-796078115347392*x^14+113899239516096*x^12-11585\
750772960*x^10+799110641880*x^8-34658036352*x^6+823431744*x^4-7768224*x^2+65\
61```
Common denominator of the automorphisms:
```1345710777612132561741112574254517250140919835795962317870275969317778445156\
3520```
Complex polynomial:
```x^64-192*x^56+19620*x^48-409536*x^40+2758374*x^32+11337408*x^24+26223588*x^1\
6+699840*x^8+6561```
Common denominator of the automorphisms:
`9780021015552`

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