Re: Galois groups and tesseract

Finger trouble - reposting...
The solution appears to be the rather elegant symmetric minimal
polynomial

P[x] = x^8 - x^7 + 2x^6 - 3x^5 + 3x^4 - 3x^3 + 2x^2 - x + 1

(Apols also from the original - I meant the absolute value of the
discriminant)

This contains the quartic subfield defined by Q[y] = y^4 - y - 1
(D=-283).

.