Get your taxes done using TurboTax

I said above that you have to file on paper but there is a way around it.

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Under these circumstances, TurboTax requires the user to calculate the taxable [amount] and enter enter [sic] the result in box 2a of TurboTax's 1099-R form instead of what is shown on the actual Form 1099-R. TurboTax uses this value to determine the amount on Form 1040 line 4b. (thanks to dmertz)

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E-file your return, don't file on paper.

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After it is ACCEPTED,
get Form 1040-X from IRS website and mail it in with your Form(s) 8606. which you can also get in fillable PDF.
Note: since you are not changing any dollar amounts on your tax return, you can leave all the lines 1-23 on 1040-X EMPTY.
The names on 8606 should be "<owner> and <your name> BENE" or Beneficiary if it fits, and your SSN

Part III Explanation: "didn't include 8606 with 1040".
In a few months to a year, you will get an acknowledgement from the IRS.

 

Note: you'll have to file 1040-X on paper, so this won't use up your one 1040-X e-File.