You are looking to construct a portfolio that buys $$161,650\mathrm{.}700$ worth of AAPL stock and shorts the same amount of money in the S&P $500$ index. If the S&P $500$ index is currently trading at $5,001$ points, and you decide to open this short position via the futures market, how many E$-$Mini futures contracts do you need to short?

Assume that you can trade a fractional number of contracts $($i$.$e$.,$ do not round the number of contracts to the nearest whole number$)$ and enter the number of contracts you need to short as a negative number $($e$.$g$.,$ if you decide that you need to sell $1\mathrm{.}05$ contracts, enter this number as $-1\mathrm{.}05).$