For k = 5

The coordinates of these five added points are

x_i = (x_i₁ , x_i_{2 ,} …, x_i₅) i = 1, …, 10,

where x_i₁ =sinθ_i₄ sinθ_i₃ sinθ_i₂ cosθ_i₁, x_i₂ =sinθ_i₄ sinθ_i₃ sinθ_i₂ sinθ_i₁, x_i₃ =sinθ_i₄ sinθ_i₃ cosθ_i₂, x_i₄ =sinθ_i₄ cosθ_i₃, and x_i₅ =cosθ_i₄.

After 200 iterations, the optimal added points obtained by BA sampler are

The maximum of P_eff value is 0.7580.

For k = 5, the determinants of X^’X for 200 × 10 × 40 = 80000 steps.