Group GAP4(56,9)

Name: C7 x D8
Maximal quotients:GAP4(8,3) GAP4(28,4)
Real polynomial:
x^56-348*x^54+48024*x^52-3534288*x^50+157032245*x^48-4534749372*x^46+8941890\
6936*x^44-1246664328828*x^42+12602056453258*x^40-94078783328592*x^38+5257621\
58743824*x^36-2221686703327908*x^34+7150246496676019*x^32-17613498207912600*\
x^30+33302985355338384*x^28-48369252107693520*x^26+53893606585830922*x^24-45\
908033314595388*x^22+29726668465707192*x^20-14512889694143940*x^18+528293384\
0486182*x^16-1412651209162620*x^14+271977801790512*x^12-36686062866588*x^10+\
3336587508285*x^8-193418720508*x^6+6535276440*x^4-110335836*x^2+707281
Common denominator of the automorphisms:
1005950041240046609289290839750884041437123198278208329094148577207830483798\
037596156522365
Complex polynomial:
x^56+1566*x^52+622253*x^48+91481022*x^44+4869691078*x^40+111882041412*x^36+1\
151010751303*x^32+5587832879832*x^28+12290364720406*x^24+10494348809694*x^20\
+3485078593390*x^16+489925061328*x^12+26054110197*x^8+258864846*x^4+707281
Common denominator of the automorphisms:
5387315254323912177137318562453075855816322

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.