To help buy her new condominium, Lisa is taking out a $$271,000$ mortgage loan for $30$ years at $4\mathrm{.}1\%$ annual interest. Her monthly payment for this loan is $$1309\mathrm{.}47.$

Fill in all the blanks in the amortization schedule for the loan. Assume that each month is $\frac{1}{12}$ of a year. Round your answers to the nearest cent.

$\backslash$table$[[\backslash$table$[[$Payment$],[$number$]],\backslash$table$[[$Interest$],[$payment$]],\backslash$table$[[$Principal$],[$payment$]],\backslash$table$[[$New loan$],[$balance$]]],[1,$$$,$$$,$$$],[2,$$$,$$$,$$$270,231\mathrm{.}59],[$vdots$,$vdots,vdots,vdots$],[175,$$$615\mathrm{.}13,$$$694\mathrm{.}34,$$$179,342\mathrm{.}96],[176,$$$,$$$,$$$]]$