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 857 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 868 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 876 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 816 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 814 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 819 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 828 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 854 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 851 time(s).