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 1273 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 1335 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 1331 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 1255 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 1267 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 1274 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 1279 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 1305 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 1303 time(s).