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 1036 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 1096 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 1088 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 1019 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 1027 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 1034 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 1038 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 1055 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 1052 time(s).