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 405 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 404 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 390 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 378 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 379 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 387 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 372 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 398 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 406 time(s).