Version 3-1-6 gives me:
Singular interprets 3x^2 as (3x)^2 which is 9*x^2, then the result 6x2 follows
Everything left from the ^ upto an * or + or - is taken as one token,
thus e.g. 2x2y^3 is 8*x^6*y^3;
Certainly a user should know this behaviour
but it seems to be a bit hidden in the manual.
Sadly, it is not stated precisely in the Getting started part:http://www.singular.uni-kl.de/Manual/la ... .htm#SEC13
But see Section
6.4 Miscellaneous oddities
2. monomials and precedence http://www.singular.uni-kl.de/Manual/3-1-6/sing_458.htmTo remember
If the variable names consist only of single letters,
Singular allows to omit the * for the multiplication.
If one do so, then also one don't use the caret ^ for the exponentiation.
Conversely, if you use the long version with ^, then you should put the *, too.