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 829 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 835 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 839 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 783 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 771 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 785 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 789 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 817 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 817 time(s).