# Group GAP4(64,239)

Name: Q8 x Q8
Maximal quotients:GAP4(32,47) GAP4(32,49)
Real polynomial:
```x^64-276*x^62+28908*x^60-1646136*x^58+59043571*x^56-1445315364*x^54+25396453\
404*x^52-331562929152*x^50+3296263845019*x^48-25408165771404*x^46+1539027313\
45668*x^44-739921655413848*x^42+2844379310505778*x^40-8788329315227472*x^38+\
21896591813871480*x^36-44062752246271248*x^34+71600920746167023*x^32-9377273\
2586836968*x^30+98601346115298900*x^28-82749070630285692*x^26+54965814663545\
698*x^24-28574567440142148*x^22+11452831027823448*x^20-3468662083908024*x^18\
+772184365667314*x^16-121446372075252*x^14+12708024134904*x^12-802444602984*\
x^10+25803504796*x^8-326857176*x^6+1464048*x^4-2376*x^2+1```
Common denominator of the automorphisms:
```1289996891829409913053241780958633988998525097162360832236625196153272850917\
7693121364126586899873206825870730086376269229589```
Complex polynomial:
```x^64+276*x^62+28908*x^60+1646136*x^58+59043571*x^56+1445315364*x^54+25396453\
404*x^52+331562929152*x^50+3296263845019*x^48+25408165771404*x^46+1539027313\
45668*x^44+739921655413848*x^42+2844379310505778*x^40+8788329315227472*x^38+\
21896591813871480*x^36+44062752246271248*x^34+71600920746167023*x^32+9377273\
2586836968*x^30+98601346115298900*x^28+82749070630285692*x^26+54965814663545\
698*x^24+28574567440142148*x^22+11452831027823448*x^20+3468662083908024*x^18\
+772184365667314*x^16+121446372075252*x^14+12708024134904*x^12+802444602984*\
x^10+25803504796*x^8+326857176*x^6+1464048*x^4+2376*x^2+1```
Common denominator of the automorphisms:
```1289996891829409913053241780958633988998525097162360832236625196153272850917\
7693121364126586899873206825870730086376269229589```

Database of Galois polynomials by Bill Allombert and Igor Schein.