For k = 6

These added support points are

x_i = (x_i1 , x_i2 , x_i3 , x_i4 , x_i5 , x_i6), i = 1, …, 12,

where x_i1 =sin θ_i5sinθ_i4sinθ_i3sinθ_i2cosθ_i1, x_i2 =sinθ_i5sin θ_i4sinθ_i3sinθ_i2sin θ_i1, x_i3 =sinθ_i5sin θ_i4sinθ_i3cosθ_i2,

x_i4 =sinθ_i5sin θ_i4cosθ_i3, x_i5 =sinθ_i5cosθ_i4 and x_i6 =cosθi5.

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

.

 The maximum of P_eff value is 0.7810.

For k = 6, the determinants of X^’X for 200 × 10 × 60 = 120000 steps.