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 KiB) downloaded 217 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20 KiB) downloaded 210 time(s).
Maths Polyroots Radau Wr.sm (28 KiB) downloaded 200 time(s).
Maths Polyroots Jacobi Wr.sm (19 KiB) downloaded 207 time(s).
Maths Polyroots Laguerre Wr.sm (31 KiB) downloaded 205 time(s).
Maths Polyroots Lobatto Wr.sm (48 KiB) downloaded 206 time(s).
Maths Polyroots ChebyShev Wr.sm (97 KiB) downloaded 207 time(s).
Maths Polyroots Hermite Wr.sm (97 KiB) downloaded 209 time(s).
Maths Polyroots Legendre Wr.sm (206 KiB) downloaded 224 time(s).