Yes it is a feature of the Singular 4 update that Singular and Sage work by 
default with 16 bit exponents on 32 and 64 bit platform by default.
If only all of of you had read carefully the 543 comments of the update 
ticket and remembered this tcomment 
https://trac.sagemath.org/ticket/17254#comment:126 and commit 
https://git.sagemath.org/sage.git/commit/?id=8c0275427c66b709413188b82da7845a3196e4bb
 
that would be obvious to you.
Now if we want to give more bits when fewer variables are used that should 
be possible.
(I'm just kidding, this is a not so serious post except for the previous 
sentence.)

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