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 861 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 878 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 883 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 822 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 821 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 825 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 829 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 858 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 859 time(s).