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 1350 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 1413 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 1396 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 1325 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 1345 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 1346 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 1360 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 1376 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 1380 time(s).