47902890-e86f-44a9-9904-0af672af9cee 20 4 5 decimal

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Fermat polynomials

Fermat polynomials W(n,x) x p 3 x * : x q 2 - : 21 sys

x c 11 - x ≤ (x 1 ≤ (& cases :

n x W x p x p (2^4 x q * + sqrt + (n^x p x p (2^4 x q * + sqrt - (n^- 2 n^x p (2^4 x q * + sqrt * / x c * ≡

n x W 3 x * 9 x 2^* 8 - sqrt + (n^3 x * 9 x 2^* 8 - sqrt - (n^- 2 n^9 x 2^* 8 - sqrt * / eval x c * :

X 5 x W 2 x W - 0 ≡ x 1 - 1 solve : 0.7214 - 0.3333 - 0.2576 0.7971 41 mat

p 5 x W 2 x W X 1 el 2 X 1 el 4 - 22 mat X 4 el 6 X 4 el 2 - 22 mat 41 sys :

5 x W 1 x W - 0 ≡ x 1 - 1 solve 4 x W 2 x W - 0 ≡ x 1 - 1 solve 21 mat 0.7781 - 0.2473 - 0.2473 0.7781 41 mat 0.7454 - 0 0.7454 31 mat 21 mat

5 X 1 el W 5 X 4 el W 21 mat 2.1642 - 2.3913 21 mat

2 X 1 el W 2 X 4 el W 21 mat 2.1642 - 2.3914 21 mat

5 x W 4 x W 3 x W 2 x W 1 x W 5 1 sys p 7 x W x c * 6 x W x c * 2 1 sys

recast Fermat generatrix n x W 3 x * 9 x 2^* 8 - sqrt + (n^3 x * 9 x 2^* 8 - sqrt - (n^- 2 n^9 x 2^* 8 - sqrt * / eval :

x expr 5 x W op maple : x 1 : coeffs x expr : 31 sys

coeffs 0.0312 992131 mat

coeffs polyroots 3.1502 105 -^* - 992 - 21 mat