You may need to calculate the taxable amount of your pension for New Jersey, depending on your age and whether any of your contributions were after-tax. This should be indicated in Box 5 of your 1099-R, with Code G in Box 7 to indicate a Rollover.
If you were not required to contribute to your retirement plan while you were working, it is a noncontributory plan. All the amounts you receive from that plan are fully taxable.
Click this link for more info from New Jersey Division of Taxation.
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