The calculations aren't showing because the form can't be filed in this format. You cannot file the return as prepared, using MFJ but listing you as a nonresident of NY.
New York requires either that you include the spouse as a resident or file the return Married Filing Separately in New York.
From the New York Department of Taxation and Finance (in the link previously mentioned):
[When] one spouse is a New York State resident and the other is a nonresident or part-year resident... (Y)ou must either:
- file separate New York State returns using filing status (3); or
- file jointly, as if you both were New York State residents, using filing status (2).
Filing status 3= MFS and filing status 2= MFJ (but treating you as if you were a resident, meaning your income would be taxed).
TurboTax state programs don't work with each other, so these sorts of things require manual adjustment. I am sorry that I didn't explain this part more clearly in my initial answer.
The return as you have prepared it cannot be filed, and that's why it's not calculating any numbers.
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