TA Algorithm to find a lean design Runs n=36, Factors s=20. Initial Design: 1 1 1 1 1 1 1 1 2 2 3 3 2 2 3 3 2 2 3 3 2 2 2 1 1 1 2 1 2 2 3 3 3 3 2 2 3 3 2 2 1 2 1 2 2 2 2 1 3 3 2 2 2 2 3 3 3 3 2 2 2 1 2 2 2 1 2 1 3 3 2 2 3 3 2 2 2 2 3 3 1 1 1 2 1 1 2 2 2 3 2 3 3 1 3 1 1 2 1 2 2 2 1 1 2 1 1 2 2 3 2 3 1 3 1 3 2 1 2 1 1 2 2 1 1 2 2 2 3 2 3 2 3 1 3 1 2 1 2 1 2 1 2 2 1 2 1 2 3 2 3 2 1 3 1 3 1 2 1 2 1 1 2 1 2 2 1 1 2 3 3 2 1 2 2 1 3 1 1 3 2 2 1 2 1 2 1 1 2 3 3 2 2 1 1 2 1 3 3 1 1 2 2 2 2 1 1 2 3 2 2 3 1 2 2 1 1 3 3 1 2 1 1 1 2 2 2 2 3 2 2 3 2 1 1 2 3 1 1 3 1 1 1 1 1 1 1 1 3 3 1 1 3 3 1 1 3 3 1 1 2 2 2 1 1 1 2 1 3 3 1 1 1 1 3 3 1 1 3 3 1 2 1 2 2 2 2 1 1 1 3 3 3 3 1 1 1 1 3 3 2 1 2 2 2 1 2 1 1 1 3 3 1 1 3 3 3 3 1 1 1 1 1 2 1 1 2 2 3 1 3 1 1 2 1 2 2 3 2 3 2 2 1 1 2 1 1 2 3 1 3 1 2 1 2 1 3 2 3 2 1 2 2 1 1 2 2 2 1 3 1 3 1 2 1 2 3 2 3 2 2 1 2 2 1 2 1 2 1 3 1 3 2 1 2 1 2 3 2 3 1 1 2 1 2 2 1 1 3 1 1 3 2 3 3 2 1 2 2 1 2 2 1 2 1 2 1 1 3 1 1 3 3 2 2 3 2 1 1 2 1 2 2 2 2 1 1 2 1 3 3 1 2 3 3 2 2 1 1 2 2 1 1 1 2 2 2 2 1 3 3 1 3 2 2 3 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 1 2 2 2 2 2 1 1 1 2 1 1 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 1 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 2 1 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 1 2 2 1 2 1 2 2 3 2 3 3 1 3 1 2 2 1 1 2 1 1 2 1 2 1 2 3 2 3 2 1 3 1 3 1 2 2 1 1 2 2 2 2 1 2 1 2 3 2 3 1 3 1 3 2 1 2 2 1 2 1 2 2 1 2 1 3 2 3 2 3 1 3 1 1 1 2 1 2 2 1 1 1 2 2 1 3 1 1 3 2 3 3 2 2 2 1 2 1 2 1 1 1 2 2 1 1 3 3 1 3 2 2 3 1 2 2 2 2 1 1 2 2 1 1 2 3 1 1 3 3 2 2 3 2 1 1 1 2 2 2 2 2 1 1 2 1 3 3 1 2 3 3 2 Criterion: maximize Det(X(5)'X(5))*...*Det(X(36)'X(36)) Search Type:(a) - f1(x1) f2(x1), ..., f1(xs) f2(xs) Result Design: 2 2 1 1 2 1 1 2 3 2 1 2 1 3 3 1 3 1 2 2 1 2 2 2 2 1 1 2 1 1 1 2 3 1 2 3 3 2 3 2 1 1 2 1 2 2 1 1 2 2 1 1 3 1 1 2 3 3 2 3 2 1 2 2 2 1 2 1 1 3 3 1 1 1 3 1 3 3 3 1 1 1 1 2 1 1 2 2 3 2 3 2 3 1 3 2 1 2 1 1 2 2 2 1 1 1 2 1 3 1 3 3 1 1 1 3 3 1 1 3 2 2 1 2 1 2 1 1 2 2 3 1 1 3 1 3 1 2 3 2 1 2 1 2 2 2 2 1 1 3 1 1 3 3 3 3 1 1 1 3 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 1 1 2 1 2 2 1 1 2 2 2 1 2 2 2 2 3 1 3 3 3 1 1 2 1 2 2 1 2 1 2 3 1 2 1 2 1 3 3 1 3 2 2 2 1 1 1 2 2 2 2 2 2 1 3 2 1 3 3 2 1 3 1 1 1 1 1 1 1 1 1 2 3 3 2 2 2 3 3 3 2 2 3 1 1 2 1 2 2 1 1 1 1 3 3 2 3 3 1 2 2 1 2 1 2 1 2 2 2 2 1 2 1 2 2 1 1 1 1 2 2 2 1 2 2 1 1 2 1 1 2 2 1 3 1 3 2 2 3 2 3 1 1 1 2 2 2 2 1 1 2 2 2 2 3 1 2 3 1 1 3 1 3 2 1 2 2 2 1 2 1 3 2 2 3 3 3 2 3 2 2 2 3 2 1 2 2 1 2 1 2 2 3 1 3 1 3 2 2 3 2 1 1 1 1 1 2 1 1 2 2 2 1 2 1 2 3 2 1 3 1 3 3 2 2 1 1 2 1 1 2 1 3 2 3 2 1 1 2 1 2 3 3 1 1 1 2 1 1 2 2 1 3 1 3 1 2 1 3 2 3 2 2 1 2 1 2 2 2 2 1 3 2 3 3 2 2 2 2 3 3 3 2 2 2 1 2 1 2 1 1 1 1 2 3 3 2 3 2 3 1 2 1 2 1 2 2 2 1 2 1 2 1 1 2 2 2 1 2 1 1 1 2 2 2 1 2 1 2 1 1 3 3 1 2 2 1 2 1 2 3 1 3 1 2 2 2 2 1 1 2 3 3 3 1 2 3 1 2 2 1 2 1 2 1 1 1 2 2 2 2 3 3 2 1 3 2 1 1 3 2 1 2 1 2 2 1 1 2 2 2 3 1 1 1 1 2 3 2 2 2 3 3 1 1 2 1 2 2 1 1 3 3 2 2 1 2 2 3 1 1 3 1 2 2 2 1 1 1 2 1 1 2 1 1 2 2 2 1 1 2 2 1 2 1 1 1 2 2 2 2 1 1 3 2 1 3 2 2 1 3 2 3 2 2 2 1 1 1 2 1 2 3 2 2 3 3 3 2 2 3 3 2 1 2 2 1 1 2 2 2 2 3 3 3 3 1 2 1 1 1 2 2 1 1 1 1 1 1 1 1 3 1 1 3 3 3 1 1 1 3 3 1 2 1 2 2 1 2 1 2 1 2 3 2 3 2 1 1 2 1 3 3 Runs Permutation: 6 35 33 16 5 14 34 15 25 31 20 12 1 21 27 30 11 4 8 29 18 17 3 22 28 10 23 24 19 9 26 36 2 7 13 32 Factors Permutation: 1 2 3 4 5 6 7 8 10 11 15 9 13 14 12 20 16 18 17 19 Max Product Det: 1.8187e-013 ============================================ Expanded Matrix: 1 1 1 -1 -1 1 -1 -1 1 1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 0 2 1 -1 1 1 1 1 -1 -1 1 -1 -1 -1 -1 -1 -1 0 2 1 -1 -1 -1 0 2 1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 1 -1 1 1 -1 -1 0 2 0 2 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 0 2 1 -1 1 -1 0 2 1 -1 1 1 -1 1 1 1 -1 1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 0 2 -1 -1 0 2 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 1 1 -1 1 -1 1 -1 -1 0 2 0 2 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 1 -1 0 2 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 0 2 0 2 0 2 -1 -1 -1 -1 0 2 1 -1 1 1 -1 -1 1 1 1 -1 -1 0 2 0 2 0 2 0 2 1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 1 1 -1 1 1 -1 1 -1 1 1 -1 -1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 1 -1 -1 -1 1 -1 0 2 0 2 1 1 -1 -1 -1 1 1 1 1 0 2 0 2 -1 -1 1 -1 0 2 -1 -1 1 -1 1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 1 -1 1 -1 0 2 0 2 0 2 1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 -1 -1 1 -1 1 1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 0 2 1 -1 1 -1 -1 -1 0 2 0 2 -1 -1 0 2 1 -1 1 -1 1 1 1 1 -1 0 2 -1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 0 2 -1 -1 1 1 1 -1 -1 1 -1 -1 1 0 2 -1 -1 1 -1 -1 -1 1 -1 0 2 0 2 1 -1 0 2 1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 1 0 2 0 2 0 2 1 -1 -1 -1 0 2 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 -1 0 2 1 -1 0 2 0 2 0 2 1 -1 1 1 -1 1 1 -1 1 -1 1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 0 2 0 2 1 -1 0 2 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 0 2 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 1 -1 0 2 1 -1 0 2 -1 -1 -1 -1 0 2 -1 -1 0 2 1 -1 1 -1 1 -1 -1 -1 1 -1 -1 1 1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 1 -1 0 2 1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 1 -1 0 2 1 -1 1 -1 0 2 0 2 0 2 0 2 1 -1 1 -1 1 -1 0 2 1 1 1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 0 2 1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 0 2 -1 -1 1 1 -1 1 1 1 -1 1 -1 0 2 -1 -1 -1 -1 0 2 0 2 0 2 -1 -1 0 2 -1 -1 -1 -1 -1 -1 0 2 1 1 1 -1 1 -1 1 -1 -1 1 -1 1 -1 -1 -1 0 2 0 2 -1 -1 0 2 -1 -1 0 2 1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 -1 1 1 -1 1 -1 1 -1 -1 -1 0 2 1 -1 -1 -1 0 2 0 2 -1 -1 0 2 -1 -1 1 1 -1 -1 -1 1 1 1 1 1 -1 1 -1 0 2 -1 -1 1 -1 0 2 -1 -1 -1 -1 1 -1 0 2 -1 -1 0 2 1 -1 1 1 -1 -1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 1 -1 0 2 0 2 0 2 1 -1 1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 1 -1 0 2 0 2 -1 -1 0 2 0 2 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 -1 -1 0 2 0 2 0 2 -1 -1 -1 -1 0 2 0 2 -1 -1 1 1 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 -1 0 2 -1 -1 1 -1 0 2 0 2 -1 -1 1 -1 0 2 1 -1 1 1 1 1 -1 -1 -1 1 -1 0 2 1 -1 0 2 0 2 1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 -1 0 2 1 -1 1 1 -1 -1 1 1 1 0 2 1 -1 1 -1 1 -1 1 -1 -1 -1 0 2 -1 -1 -1 -1 -1 -1 0 2 0 2 1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 1 1 -1 1 -1 1 -1 -1 0 2 1 -1 0 2 1 -1 0 2 -1 -1 -1 -1 0 2 -1 -1 1 -1 1 -1 Det(X'X)^(1/k) - Std EachStd Original --------------------------- Top 5 Left 5 Corner: 0.130675 0.940863 4.704316 Top 6 Left 6 Corner: 0.150801 0.904806 5.428835 Top 7 Left 7 Corner: 0.170761 0.878201 6.147409 Top 8 Left 8 Corner: 0.192450 0.866025 6.928203 Top 9 Left 9 Corner: 0.198127 0.792506 7.132557 Top 10 Left 10 Corner: 0.233895 0.826810 8.085646 Top 11 Left 11 Corner: 0.240656 0.791408 8.893184 Top 12 Left 12 Corner: 0.249718 0.780101 8.902037 Top 13 Left 13 Corner: 0.275337 0.768416 10.360689 Top 14 Left 14 Corner: 0.287748 0.734937 10.485397 Top 15 Left 15 Corner: 0.305157 0.734865 11.636263 Top 16 Left 16 Corner: 0.314092 0.711535 11.635365 Top 17 Left 17 Corner: 0.352462 0.749099 13.577257 Top 18 Left 18 Corner: 0.372420 0.744487 13.973875 Top 19 Left 19 Corner: 0.378239 0.719511 14.687494 Top 20 Left 20 Corner: 0.415525 0.741425 15.751789 Top 21 Left 21 Corner: 0.414527 0.715256 16.201385 Top 22 Left 22 Corner: 0.439850 0.719850 16.814246 Top 23 Left 23 Corner: 0.470898 0.739512 18.503517 Top 24 Left 24 Corner: 0.504059 0.756037 19.403816 Top 25 Left 25 Corner: 0.512155 0.738772 20.215507 Top 26 Left 26 Corner: 0.562999 0.779362 21.801177 Top 27 Left 27 Corner: 0.585308 0.781487 23.191723 Top 28 Left 28 Corner: 0.610552 0.786797 23.762677 Top 29 Left 29 Corner: 0.639880 0.795077 25.438008 Top 30 Left 30 Corner: 0.681116 0.816352 26.625657 Top 31 Left 31 Corner: 0.713543 0.829210 28.448277 Top 32 Left 32 Corner: 0.743554 0.836014 29.178290 Top 33 Left 33 Corner: 0.785247 0.856848 31.386378 Top 34 Left 33 Corner: 0.857127 0.907760 34.259401 Top 35 Left 33 Corner: 0.927465 0.954106 37.070830 Top 36 Left 33 Corner: 1.000000 1.000000 39.970057 Det Product: 1.818722616635432e-013 0.0007830302645959072 6.822559487299091e+037 ============================================ Expanded Matrix for initial design: 1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 -1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 1 -1 1 -1 0 2 0 2 0 2 0 2 1 -1 1 -1 1 -1 1 -1 0 2 0 2 1 1 -1 1 1 1 -1 1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 -1 0 2 0 2 0 2 0 2 1 -1 1 -1 1 -1 -1 -1 1 -1 -1 1 1 0 2 1 -1 0 2 1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 0 2 -1 -1 0 2 1 1 1 -1 -1 1 -1 -1 1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 1 1 -1 -1 1 1 1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 -1 -1 1 1 -1 1 1 -1 1 -1 1 1 -1 0 2 1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 1 -1 -1 1 -1 1 1 -1 -1 0 2 1 -1 1 -1 0 2 -1 -1 0 2 0 2 -1 -1 1 -1 -1 -1 -1 -1 1 -1 1 1 1 -1 1 -1 1 -1 -1 0 2 1 -1 1 -1 0 2 0 2 -1 -1 -1 -1 0 2 -1 -1 1 -1 1 -1 -1 -1 1 -1 1 1 1 1 -1 -1 1 1 -1 0 2 0 2 1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 1 -1 1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 1 1 -1 0 2 0 2 1 -1 0 2 -1 -1 -1 -1 0 2 1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 -1 1 -1 1 1 1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 1 1 -1 1 1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 0 2 -1 -1 0 2 0 2 1 -1 0 2 1 -1 1 1 1 -1 -1 1 -1 -1 1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 -1 -1 1 -1 0 2 1 -1 0 2 1 -1 1 1 -1 -1 1 1 1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 0 2 1 1 -1 1 1 -1 1 -1 1 -1 -1 1 -1 -1 -1 1 -1 0 2 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 1 -1 -1 1 -1 1 1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 0 2 1 -1 1 -1 0 2 -1 -1 0 2 0 2 -1 -1 1 1 1 -1 1 -1 1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 1 -1 0 2 0 2 1 -1 0 2 -1 -1 -1 -1 0 2 1 -1 1 1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 -1 0 2 1 -1 1 -1 0 2 0 2 -1 -1 -1 -1 0 2 1 1 -1 -1 -1 1 1 1 1 -1 -1 1 -1 1 -1 -1 -1 1 -1 0 2 0 2 1 -1 -1 -1 0 2 0 2 -1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 0 2 0 2 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 0 2 0 2 0 2 0 2 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 1 -1 1 -1 1 1 1 1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 0 2 0 2 -1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 0 2 0 2 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 -1 -1 -1 -1 0 2 0 2 1 -1 -1 -1 1 -1 -1 1 1 -1 -1 0 2 -1 -1 0 2 0 2 1 -1 0 2 1 -1 1 -1 -1 -1 1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 1 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 0 2 -1 -1 1 -1 -1 -1 1 -1 1 -1 1 1 -1 -1 1 1 1 0 2 -1 -1 0 2 -1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 1 1 -1 1 1 -1 1 -1 1 0 2 -1 -1 0 2 -1 -1 1 -1 0 2 1 -1 0 2 1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 1 -1 1 1 -1 -1 -1 -1 0 2 0 2 -1 -1 1 -1 -1 -1 -1 -1 1 -1 0 2 1 -1 1 -1 0 2 1 1 1 -1 1 -1 1 -1 -1 -1 -1 0 2 0 2 -1 -1 -1 -1 1 -1 1 -1 -1 -1 1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 -1 1 0 2 -1 -1 -1 -1 0 2 1 -1 -1 -1 -1 -1 1 -1 1 -1 0 2 0 2 1 -1 1 1 -1 -1 -1 1 1 1 1 0 2 -1 -1 -1 -1 0 2 -1 -1 1 -1 1 -1 -1 -1 0 2 1 -1 1 -1 0 2 For inital design Det(X'X)^(1/k) - Std EachStd Original --------------------------- Top 5 Left 5 Corner: 0.000000 0.000619 0.000000 Top 6 Left 6 Corner: 0.111111 0.666667 4.000000 Top 7 Left 7 Corner: 0.001042 0.004877 0.000000 Top 8 Left 8 Corner: 0.002254 0.009353 0.000000 Top 9 Left 9 Corner: 0.004807 0.019229 0.000000 Top 10 Left 10 Corner: 0.006480 0.024404 0.000000 Top 11 Left 11 Corner: 0.010356 0.027471 0.000000 Top 12 Left 12 Corner: 0.013211 0.035564 0.000000 Top 13 Left 13 Corner: 0.001372 0.003733 0.000000 Top 14 Left 14 Corner: 0.001855 0.004753 0.000000 Top 15 Left 15 Corner: 0.002581 0.004889 0.000000 Top 16 Left 16 Corner: 0.000459 0.000845 0.000000 Top 17 Left 17 Corner: 0.000726 0.001292 0.000000 Top 18 Left 18 Corner: 0.000882 0.001758 0.000000 Top 19 Left 19 Corner: 0.001185 0.003261 0.000000 Top 20 Left 20 Corner: 0.001838 0.003563 0.000000 Top 21 Left 21 Corner: 0.011261 0.017224 0.000000 Top 22 Left 22 Corner: 0.016890 0.025888 0.000000 Top 23 Left 23 Corner: 0.019570 0.030332 0.000000 Top 24 Left 24 Corner: 0.005634 0.008400 0.000000 Top 25 Left 25 Corner: 0.007581 0.011398 0.000000 Top 26 Left 26 Corner: 0.035196 0.052473 1.306252 Top 27 Left 27 Corner: 0.140319 0.198761 5.592160 Top 28 Left 28 Corner: 0.157485 0.203083 6.316980 Top 29 Left 29 Corner: 0.186360 0.235874 7.231550 Top 30 Left 30 Corner: 0.584191 0.701733 22.836717 Top 31 Left 31 Corner: 0.635649 0.738763 25.342687 Top 32 Left 32 Corner: 0.730304 0.821380 28.658349 Top 33 Left 33 Corner: 0.264955 0.319738 10.752589 Top 34 Left 33 Corner: 0.308134 0.335985 12.013338 Top 35 Left 33 Corner: 0.927465 0.954106 37.070830 Top 36 Left 33 Corner: 1.000000 1.000000 39.970057 Det Product: 0+0i -4.2108e-049+4.7744e-049i 0+0i