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 167 time(s).
Maths Polyroots Hermite Wr SPECIFIC.sm (20 KiB) downloaded 167 time(s).
Maths Polyroots Radau Wr.sm (28 KiB) downloaded 159 time(s).
Maths Polyroots Jacobi Wr.sm (19 KiB) downloaded 164 time(s).
Maths Polyroots Laguerre Wr.sm (31 KiB) downloaded 163 time(s).
Maths Polyroots Lobatto Wr.sm (48 KiB) downloaded 166 time(s).
Maths Polyroots ChebyShev Wr.sm (97 KiB) downloaded 166 time(s).
Maths Polyroots Hermite Wr.sm (97 KiB) downloaded 170 time(s).
Maths Polyroots Legendre Wr.sm (206 KiB) downloaded 180 time(s).