I wondered about this one:

sage: k=GF(2)
sage: kx.<x>=GF(2)[]
sage: kxy.<y>=kx[]
sage: kx.extension(y^3+y+1)
Univariate Quotient Polynomial Ring in y over Univariate Polynomial Ring in 
x over Finite Field of size 2 (using NTL) with modulus y^3 + y + 1
sage: exit
Exiting Sage (CPU time 0m0.11s, Wall time 0m21.50s).
Exiting Singular with PID 19781 running 
/usr/local/sage/sage-git/local/bin/Singular -t --ticks-per-sec 1000 
--cntrlc=a

Observations:

 - this extension does not need a name specified, whereas in another case a 
name is required:

sage: kx.<x>=GF(2)[]
sage: k.extension(x^3+x+1)
ValueError: parameter 'conway' is required if no name given

 - Polynomial quotient rings seem to trigger starting a separate Singular 
process. Shouldn't we be doing this with LibSingular?

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