$(1$ point$)$ Consider the elliptic curve group based on the equation

$y^2-=x^3+ax+b,$modp

where $a=3,b=6,$ and $p=13.$

This curve contains the point $P=(1,6).$ We will use the Double and Add algorithm to efficiently compute $48P.$

In the space below enter a comma separated list of the points that are considered during the computation of $48P$ when using the Double and Add algorithm. Begin the list with $P$ and end with $48P.$ If the point at infinity occurs in your list, please enter it as $(0,$ inf