# Numerical integration in 2D over a triangle - Quadrature formula

I am looking for highly (order 6 at least) accurate (for small triangle) quadrature formulas (using only values of the function, no derivatives) to calculate an integral of a continuous function (no singularity) over a generic triangle (or reference where I can find such formulas) :

I give you the coordinates of the three vertices (and the area of the triangle) and you give me the coordinates of the integration points and the weights associated to these points.

I found an order 3 accurate quadrature formula in the book of Quarteroni, Sacco and Saleri entitled Numerical Mathematics page 415 : if $T$ is a triangle with $a_j$ the vertices, $a^T$ the center of gravity, $a^j$ the midpoints of the edges and $|T|$ the area of $T$ then

$$\int_T f \approx \frac{|T|}{60} \left(27f(a^T) + 3 \sum_{j=1}^3 f(a_j) + 8\sum_{j=1}^3 f(a^j) \right).$$

Do you have a similar formula for high ($\ge 6$) order of accuracy?