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 73 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20 KiB) downloaded 68 time(s).
Maths Polyroots Radau Wr.sm (28 KiB) downloaded 70 time(s).
Maths Polyroots Jacobi Wr.sm (19 KiB) downloaded 69 time(s).
Maths Polyroots Laguerre Wr.sm (31 KiB) downloaded 66 time(s).
Maths Polyroots Lobatto Wr.sm (48 KiB) downloaded 66 time(s).
Maths Polyroots ChebyShev Wr.sm (97 KiB) downloaded 70 time(s).
Maths Polyroots Hermite Wr.sm (97 KiB) downloaded 69 time(s).
Maths Polyroots Legendre Wr.sm (206 KiB) downloaded 75 time(s).