John Cremona wrote:
You need 6.2.  The splitting field functionality was only added since 6.1.1:

sage: R.<x> = PolynomialRing(QQ)
sage: sage: K.<a> = NumberField(x^3 + 2)
sage: sage: S.<t> = PolynomialRing(K)
sage: sage: L.<b> = (t^2 - a).splitting_field()
sage: L
Number Field in b with defining polynomial t^6 + 2

?

sage: sage: R.<x> = PolynomialRing(QQ)
sage: sage: K.<a> = NumberField(x^3 + 2)
sage: sage: S.<t> = PolynomialRing(K)
sage: sage: L.<b> = (t^2 - a).splitting_field()
sage: sage: L
Number Field in b with defining polynomial t^6 + 2
sage: version()
'Sage Version 6.1.1, Release Date: 2014-02-04'
sage:

Or did I just "mess it up" somehow?


-leif

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