Source code:
Introduction to Numerical Analysis 2nd Edition F.B. Hildebrand [1987]
many sanity: Milton Abramowitz and Irene A. Stegun
Legendre is the principal Quadrature in practical Engineering works.
BTW, if you have higher Legendre than given 63/64, welcome to add/attach.
Thanks Andrey for your Polyroots Smath Examples
Jean

Maths Polyroots Rodrigues Wr.sm (13.45 KiB) downloaded 799 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 794 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 806 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 747 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 737 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 747 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 753 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 785 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 779 time(s).