$\rho$

$\epsilon ~N\left(0,{0.5}^2\right)$

$\epsilon ~U\left[-\frac{\sqrt{3}}{2},\frac{\sqrt{3}}{2}\right]$

$\epsilon ~\frac{1}{8}{\chi }^2\left(8\right)-1$

−0.9

Rook

0.0023

0.0022

0.0023

Queen

0.0023

0.0022

0.0023

−0.5

Rook

0.0023

0.0023

0.0024

Queen

0.0023

0.0023

0.0024

−0.1

Rook

0.0021

0.0023

0.0020

Queen

0.0021

0.0023

0.0020

0

Rook

0.0022

0.0023

0.0022

Queen

0.0022

0.0023

0.0022

0.1

Rook

0.0024

0.0023

0.0023

Queen

0.0024

0.0023

0.0023

0.5

Rook

0.0021

0.0022

0.0023

Queen

0.0021

0.0022

0.0023

0.9

Rook

0.0022

0.0022

0.0023

Queen

0.0022

0.0022

0.0023