Consider the elliptic curve group based on the equation

y$2$x$3+$ax$+$bmodp

where a$=3$

$,$ b$=9$

$,$ and p$=11$

$.$

This curve contains the point P$=(0,3)$

$.$ We will use the Double and Add algorithm to efficiently compute $30$P

$.$

In the space below enter a comma separated list of the points that are considered during the computation of $30$P

when using the Double and Add algorithm. Begin the list with P

and end with $30$P

$.$ If the point at infinity occurs in your list, please enter it as $(0,$inf$)$

$.$