38f87611-a174-418b-9728-dde031e4784a 20 4 5 decimal

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The maple num/den coeff

n a x f x a i 1 -^1 x - / (i 1 k product (k 1 n 1 + sum * 11 line :

1 1 x f 2 1 x f 3 1 x f 3 1 sys

1 a x f x 1 x - a + (* 1 x - (2^/

collect f(n,a,x) j 13 range f j el j a x f : for

nd collects index list select 1 f rows range : ct 1 : i select ND ct el f i el numden : ct ct 1 + : 21 line for ND 51 line :

View a 'j' num j 3 : nd j el 1 el 11 mat 12 mat 3 x 1 x - a + (1 x - (* a 3^+ (1 x - (* a 6^+ (* 11 mat 12 mat

nd x 1 x - a + (* 1 x - (2^21 mat x 1 x - a + (1 x - (* a 3^+ (* 1 x - (3^21 mat x 1 x - a + (1 x - (* a 3^+ (1 x - (* a 6^+ (* 1 x - (4^21 mat 31 mat

nd x 1 x - a + (* 1 x - (2^21 mat x 1 x - a + (1 x - (* a 3^+ (* 1 x - (3^21 mat x 1 x - a + (1 x - (* a 3^+ (1 x - (* a 6^+ (* 1 x - (4^21 mat 31 mat :

copy/paste to isolate

C collects index list select 1 f rows range : ct 1 : i select Coeff ct el nd i el 1 el x coeff maple : ct ct 1 + : 21 line for Coeff 51 line :

Smath 5346 does not need the manual transit copy/paste... 6179 is simply not automated.

Global num coeff C 1 a + 1 a 1 a 2^+ (* + 1 a 1 a 2^+ a 5^+ (* + 31 mat

Collect collects index list select 1 nd rows range : ct 1 : i select Num ct el nd i el 1 el : ct ct 1 + : 21 line for Num 51 line :

Collect x 1 x - a + (* x 1 x - a + (1 x - (* a 3^+ (* x 1 x - a + (1 x - (* a 3^+ (1 x - (* a 6^+ (* 31 mat

x N x 1 x - a + (1 x - (* a 3^+ (1 x - (* a 6^+ (* :

copy/paste to isolate

MyCoeff x N x coeff maple : 1 a 1 a 2^+ a 5^+ (* +

a 1.5 : C 12 mat 1.5 2.5 5.875 17.2656 31 mat 12 mat

a 1 : C 12 mat 123431 mat 12 mat

2.5 5.875 17.2656 31 mat polyroots 0.1701 - 0.3404 i * + 0.1701 - 0.3404 i * - 21 mat

r 2.5 5.875 17.2656 31 mat polyroots : 0.1701 - 0.3404 i * + 0.1701 - 0.3404 i * - 21 mat

r 1 el abs r 2 el abs 21 mat 0.3805 0.3805 21 mat