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 998 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 1059 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 1045 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 970 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 991 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 990 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 997 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 1006 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 1011 time(s).