Multiple mixture constraints
In this example we want to obtain a design with 125 experiments for the following problem with two mixture constraints
problem = opti.Problem(
inputs=[opti.Continuous(f"x{i+1}", [0, 1]) for i in range(12)]
+ [opti.Continuous(f"p{i+1}", [-1, 1]) for i in range(3)],
outputs=[opti.Continuous("y")],
constraints=[
opti.LinearEquality(names=[f"x{i+1}" for i in range(6)], rhs=1),
opti.LinearEquality(names=[f"x{i+1}" for i in range(6, 12)], rhs=1),
],
)
res = find_local_max_ipopt(
problem=problem,
model_type="fully-quadratic",
n_experiments=125,
ipopt_options={"maxiter":2000},
)
We obtain the following design.
| x1 | x2 | x3 | x4 | x5 | x6 | x7 | x8 | x9 | x10 | x11 | x12 | p1 | p2 | p3 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.56 | 0.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.29 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -0.47 | -1.00 | -1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.42 | 0.59 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.38 | 0.00 | 0.62 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 | 0.50 | 0.00 | -1.00 | 0.12 | 0.23 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.09 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.19 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.51 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.48 | 0.00 | 0.52 | 0.00 | 0.00 | -1.00 | 0.08 | -1.00 |
| 0.00 | 0.00 | 0.47 | 0.53 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.50 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 | 0.48 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.89 | 0.00 | 0.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.58 | 0.00 | 0.42 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | -1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.56 | 0.00 | 0.44 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 | 0.49 | -1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.41 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.58 | 0.42 | 0.00 | 0.00 | 1.00 | -1.00 | -1.00 |
| 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.26 | 0.00 | 0.73 | 0.00 | 0.00 | 0.27 | 0.00 | 0.18 | -1.00 | -0.92 |
| 0.61 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.55 | 0.45 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.49 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.54 | -1.00 | -1.00 | 1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.50 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.38 | 0.61 | 0.00 | 0.05 | 1.00 | 1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | -0.61 |
| 0.48 | 0.00 | 0.00 | 0.00 | 0.53 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.46 | 0.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.56 | -1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.69 | 0.30 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.44 | 0.00 | 0.00 | 0.56 | 0.00 | 0.00 | 0.43 | 0.00 | 0.00 | 0.57 | 1.00 | 1.00 | 0.25 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.57 | 0.43 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 | 0.49 | 0.00 | -0.27 | 1.00 | 1.00 |
| 0.59 | 0.00 | 0.00 | 0.41 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.53 | 0.01 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.16 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.00 | 0.53 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 | 0.39 | 0.00 | 0.61 | 0.00 | 0.00 | 1.00 | 1.00 | -0.49 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.78 | 0.22 | 0.45 | 0.00 | 0.00 | 0.55 | 0.00 | 0.00 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.60 | 0.00 | 0.41 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | -0.24 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 | -1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.59 | 0.00 | 0.41 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.44 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.53 | 0.00 | 0.48 | 1.00 | 0.06 | -1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 | 0.48 | 0.52 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | -1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 0.55 | 0.00 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.55 | 0.45 | -0.19 | 1.00 | 0.24 |
| 0.76 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | -0.15 | 1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.47 | 0.54 | 0.00 | 0.00 | 0.00 | 0.51 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 | 0.39 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.52 | 0.48 | 0.00 | 0.54 | 0.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.15 | 1.00 | -1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 0.04 |
| 0.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.36 | 0.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.56 | 1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.02 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.53 | 0.48 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.51 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.46 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.48 | 0.52 | 0.00 | 1.00 | -1.00 | 0.50 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.43 | 0.57 | 0.00 | 0.00 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.43 | -1.00 | -1.00 | 1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.84 | -1.00 | -0.83 |
| 0.45 | 0.00 | 0.00 | 0.00 | 0.55 | 0.00 | 0.48 | 0.00 | 0.00 | 0.53 | 0.00 | 0.00 | -0.04 | -1.00 | 1.00 |
| 0.00 | 0.54 | 0.00 | 0.00 | 0.46 | 0.00 | 0.00 | 0.58 | 0.00 | 0.00 | 0.42 | 0.00 | 1.00 | -0.12 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.33 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.49 | 0.00 | 0.51 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.56 | 0.00 | 0.00 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | -0.27 | 1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | -0.09 | 1.00 |
| 0.00 | 0.00 | 0.47 | 0.53 | 0.00 | 0.00 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.50 | 1.00 | 0.64 | 0.24 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 | 1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.65 | 0.00 | 0.35 | 0.00 | 0.56 | 0.00 | 0.00 | 0.45 | 0.00 | 0.00 | 1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.45 | 0.00 | 0.55 | 0.00 | 0.51 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.51 | 0.00 | 0.49 | 0.52 | 0.49 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 | 1.00 |
| 0.34 | 0.00 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.54 | 0.46 | 0.00 | 0.00 | -1.00 | -1.00 | -0.01 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.48 | 0.52 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | -0.35 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | 0.27 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | -1.00 | 1.00 |
| 0.00 | 0.53 | 0.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.49 | 0.00 | 0.51 | 0.57 | 1.00 | -1.00 |
| 0.00 | 0.61 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.64 | 0.00 | 0.36 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | -0.50 | -0.70 |
| 0.00 | 0.00 | 0.00 | 0.53 | 0.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.49 | 0.51 | 1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | -1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.49 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -1.00 | -1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -1.00 | 1.00 | 0.04 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.58 | 0.43 | 0.00 | 0.00 | 0.00 | -1.00 | 0.62 | -1.00 |
| 0.41 | 0.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.48 | 0.00 | 0.00 | 0.52 | 0.00 | 0.00 | 1.00 | 1.00 | 0.37 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.45 | 0.55 | 0.00 | 0.00 | 0.72 | 0.00 | 0.28 | 0.00 | -0.32 | 0.43 | 1.00 |
| 0.00 | 0.46 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 | 0.48 | 0.52 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.69 | 0.30 | 0.00 | 0.00 | 0.00 | 0.47 | 0.53 | 0.00 | 1.00 | 1.00 | 1.00 |
| 0.77 | 0.00 | 0.00 | 0.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 | -1.00 |
| 0.47 | 0.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.53 | 0.00 | 0.00 | 0.47 | 1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.56 | 0.44 | 0.00 | 0.49 | 0.00 | 0.00 | 0.50 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.55 | 0.44 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.40 | 0.60 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | -1.00 | -0.86 | 1.00 |
| 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.00 | 1.00 | 0.83 |
| 0.49 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 | 0.46 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | -1.00 | 1.00 | 1.00 |
| 0.50 | 0.00 | 0.00 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.46 | 0.00 | 0.54 | -1.00 | 1.00 | 0.04 |
| 0.00 | 0.00 | 0.49 | 0.00 | 0.00 | 0.51 | 0.00 | 0.00 | 0.54 | 0.00 | 0.46 | 0.00 | 1.00 | 1.00 | -1.00 |
| 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | -1.00 | -1.00 | 1.00 |
| 0.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 | -1.00 | -1.00 | -1.00 |