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 1120 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20.06 KiB) downloaded 1172 time(s).
Maths Polyroots Radau Wr.sm (28.65 KiB) downloaded 1171 time(s).
Maths Polyroots Jacobi Wr.sm (19.23 KiB) downloaded 1106 time(s).
Maths Polyroots Laguerre Wr.sm (31.96 KiB) downloaded 1114 time(s).
Maths Polyroots Lobatto Wr.sm (48.38 KiB) downloaded 1112 time(s).
Maths Polyroots ChebyShev Wr.sm (97.91 KiB) downloaded 1125 time(s).
Maths Polyroots Hermite Wr.sm (97.52 KiB) downloaded 1141 time(s).
Maths Polyroots Legendre Wr.sm (206.12 KiB) downloaded 1140 time(s).