TA Algorithm to find a lean design Runs n=36, Factors s=18. Initial Design: 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 2 3 3 3 3 2 2 3 3 2 2 1 2 1 2 2 2 3 3 2 2 2 2 3 3 3 3 2 2 2 1 2 2 2 1 3 3 2 2 3 3 2 2 2 2 3 3 1 1 1 2 1 1 2 3 2 3 3 1 3 1 1 2 1 2 2 2 1 1 2 1 2 3 2 3 1 3 1 3 2 1 2 1 1 2 2 1 1 2 3 2 3 2 3 1 3 1 2 1 2 1 2 1 2 2 1 2 3 2 3 2 1 3 1 3 1 2 1 2 1 1 2 1 2 2 2 3 3 2 1 2 2 1 3 1 1 3 2 2 1 2 1 2 2 3 3 2 2 1 1 2 1 3 3 1 1 2 2 2 2 1 3 2 2 3 1 2 2 1 1 3 3 1 2 1 1 1 2 2 3 2 2 3 2 1 1 2 3 1 1 3 1 1 1 1 1 1 3 3 1 1 3 3 1 1 3 3 1 1 2 2 2 1 1 1 3 3 1 1 1 1 3 3 1 1 3 3 1 2 1 2 2 2 1 1 3 3 3 3 1 1 1 1 3 3 2 1 2 2 2 1 1 1 3 3 1 1 3 3 3 3 1 1 1 1 1 2 1 1 3 1 3 1 1 2 1 2 2 3 2 3 2 2 1 1 2 1 3 1 3 1 2 1 2 1 3 2 3 2 1 2 2 1 1 2 1 3 1 3 1 2 1 2 3 2 3 2 2 1 2 2 1 2 1 3 1 3 2 1 2 1 2 3 2 3 1 1 2 1 2 2 3 1 1 3 2 3 3 2 1 2 2 1 2 2 1 2 1 2 3 1 1 3 3 2 2 3 2 1 1 2 1 2 2 2 2 1 1 3 3 1 2 3 3 2 2 1 1 2 2 1 1 1 2 2 1 3 3 1 3 2 2 3 1 2 2 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 1 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 1 1 2 1 2 2 3 2 3 3 1 3 1 2 2 1 1 2 1 1 2 1 2 3 2 3 2 1 3 1 3 1 2 2 1 1 2 2 1 2 1 2 3 2 3 1 3 1 3 2 1 2 2 1 2 2 1 2 1 3 2 3 2 3 1 3 1 1 1 2 1 2 2 1 2 2 1 3 1 1 3 2 3 3 2 2 2 1 2 1 2 1 2 2 1 1 3 3 1 3 2 2 3 1 2 2 2 2 1 2 1 1 2 3 1 1 3 3 2 2 3 2 1 1 1 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 2 3 2 3 1 3 1 2 2 1 3 1 1 1 1 2 1 1 3 2 3 1 1 1 1 2 2 3 2 3 1 1 2 1 2 2 1 1 2 1 3 2 1 2 3 2 3 3 1 2 2 2 2 1 1 3 3 1 2 3 3 2 1 2 2 1 2 1 2 2 2 1 3 3 2 2 3 3 2 2 3 3 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 1 1 2 2 2 1 2 1 2 1 3 2 1 1 2 3 3 2 3 1 2 1 2 2 1 1 2 3 1 3 2 3 2 3 2 2 1 1 1 2 1 2 2 1 2 2 2 2 1 3 1 3 3 3 1 2 1 1 1 2 1 2 2 3 3 1 3 2 1 3 1 2 1 2 2 1 2 1 2 2 2 3 2 2 2 2 3 3 3 2 2 3 3 1 2 2 2 2 1 2 1 1 2 3 1 1 3 2 3 3 2 2 1 1 1 2 2 1 2 3 1 3 3 2 1 2 1 3 2 2 1 2 2 2 1 1 1 3 3 1 1 3 3 1 1 3 3 2 2 2 1 1 1 3 1 1 1 1 3 3 1 3 3 3 1 2 1 1 1 2 2 2 3 1 2 1 1 3 2 3 2 1 3 1 1 1 2 1 1 2 1 2 3 3 3 3 1 1 2 1 2 2 2 1 1 2 1 3 1 3 1 2 1 2 3 3 2 1 2 2 1 2 2 2 1 2 2 1 1 2 2 1 1 2 2 1 1 2 2 1 2 1 2 2 1 3 2 2 3 1 1 3 1 2 3 1 1 2 1 2 2 2 2 3 2 1 3 2 3 1 3 1 1 1 2 2 2 2 1 3 2 2 3 1 2 2 1 3 1 1 3 2 1 2 2 1 2 1 1 1 3 2 3 2 2 2 3 1 3 1 1 1 2 1 1 1 3 1 2 2 2 2 3 3 1 3 1 2 2 1 2 1 2 3 2 1 3 3 1 2 2 1 2 3 1 1 1 1 1 1 1 2 2 3 3 2 2 3 2 3 3 3 2 1 2 1 2 2 2 2 1 1 1 1 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 1 1 2 2 1 1 2 2 3 2 1 2 1 2 1 1 3 3 3 2 2 2 1 1 1 2 3 3 3 3 2 2 3 2 2 2 3 2 2 1 1 2 1 1 2 1 2 3 2 3 1 1 3 2 3 1 2 2 1 1 2 1 2 1 3 1 3 1 3 3 2 2 2 2 1 2 2 1 2 3 3 3 2 1 2 1 1 1 2 3 2 1 1 1 1 1 1 3 3 1 1 3 3 1 3 1 1 1 3 2 1 1 1 2 2 3 1 2 3 2 2 1 3 1 3 2 1 1 2 1 2 2 2 1 3 3 3 3 1 1 1 3 3 1 1 Runs Permutation: 6 17 33 23 4 26 34 7 32 21 3 35 24 16 14 36 5 18 28 10 9 11 20 29 22 1 27 25 31 2 30 19 8 13 12 15 Factors Permutation: 1 2 3 4 5 6 7 12 9 10 11 8 13 15 17 18 14 16 Max Product Det: 1.9879e-013 ============================================ Expanded Matrix: 1 1 1 -1 -1 1 -1 0 2 1 -1 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 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 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 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 0 2 0 2 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 0 2 -1 -1 -1 -1 0 2 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 0 2 1 -1 0 2 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 -1 -1 1 -1 -1 -1 1 -1 1 -1 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 -1 -1 0 2 -1 -1 0 2 0 2 1 -1 1 -1 1 1 1 1 -1 0 2 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 0 2 -1 -1 -1 -1 0 2 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 0 2 1 -1 -1 -1 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 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 -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 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 -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 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 0 2 -1 -1 1 -1 0 2 0 2 1 -1 -1 -1 -1 -1 1 -1 -1 -1 0 2 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 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 -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 -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 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 0 2 0 2 1 -1 1 -1 0 2 0 2 1 -1 0 2 1 -1 1 -1 1 -1 0 2 1 -1 1 -1 1 1 1 0 2 -1 -1 -1 -1 -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 0 2 0 2 -1 -1 -1 -1 0 2 -1 -1 0 2 0 2 0 2 -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 1 -1 1 -1 1 -1 0 2 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 0 2 1 -1 0 2 1 -1 -1 -1 -1 -1 1 -1 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 1 -1 1 -1 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 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 0 2 1 -1 0 2 0 2 -1 -1 1 -1 -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 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: 0.198099 0.861653 6.779122 Top 9 Left 9 Corner: 0.209987 0.842581 7.805068 Top 10 Left 10 Corner: 0.205191 0.738098 7.300372 Top 11 Left 11 Corner: 0.232637 0.765180 8.824633 Top 12 Left 12 Corner: 0.248636 0.776720 9.078514 Top 13 Left 13 Corner: 0.274236 0.767015 10.550141 Top 14 Left 14 Corner: 0.279687 0.726142 10.403246 Top 15 Left 15 Corner: 0.308897 0.745398 12.006945 Top 16 Left 16 Corner: 0.321104 0.719221 12.110927 Top 17 Left 17 Corner: 0.327003 0.695456 12.811524 Top 18 Left 18 Corner: 0.374598 0.741987 14.282060 Top 19 Left 19 Corner: 0.389446 0.740026 15.353364 Top 20 Left 20 Corner: 0.424568 0.757085 16.327781 Top 21 Left 21 Corner: 0.430614 0.742049 17.062271 Top 22 Left 22 Corner: 0.438606 0.721562 16.987360 Top 23 Left 23 Corner: 0.477559 0.749426 19.001459 Top 24 Left 24 Corner: 0.495446 0.748416 19.302254 Top 25 Left 25 Corner: 0.527123 0.760488 21.047092 Top 26 Left 26 Corner: 0.558575 0.773715 21.870517 Top 27 Left 27 Corner: 0.582972 0.778642 23.346603 Top 28 Left 28 Corner: 0.615503 0.790591 24.202766 Top 29 Left 29 Corner: 0.641031 0.797279 25.737823 Top 30 Left 30 Corner: 0.681150 0.818749 26.883536 Top 31 Left 31 Corner: 0.720196 0.837202 28.981211 Top 32 Left 31 Corner: 0.770163 0.867049 30.991919 Top 33 Left 31 Corner: 0.823178 0.898492 33.125296 Top 34 Left 31 Corner: 0.879258 0.931213 35.381987 Top 35 Left 31 Corner: 0.938305 0.965190 37.758088 Top 36 Left 31 Corner: 1.000000 1.000000 40.240733 Det Product: 1.987898105493339e-013 0.0008555552596180599 1.088428397880355e+038 ============================================ Expanded Matrix for initial design: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 0 2 0 2 -1 -1 -1 -1 0 2 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 0 2 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 0 2 0 2 0 2 0 2 -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 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 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 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 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 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 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 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 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: 0.002026 0.006431 0.000000 Top 9 Left 9 Corner: 0.003825 0.014498 0.000000 Top 10 Left 10 Corner: 0.004808 0.016554 0.000000 Top 11 Left 11 Corner: 0.000345 0.000886 0.000000 Top 12 Left 12 Corner: 0.000588 0.001535 0.000000 Top 13 Left 13 Corner: 0.000988 0.002699 0.000000 Top 14 Left 14 Corner: 0.000123 0.000303 0.000000 Top 15 Left 15 Corner: 0.000228 0.000517 0.000000 Top 16 Left 16 Corner: 0.000428 0.000738 0.000000 Top 17 Left 17 Corner: 0.004760 0.009962 0.000000 Top 18 Left 18 Corner: 0.005806 0.011024 0.000000 Top 19 Left 19 Corner: 0.006298 0.015143 0.000000 Top 20 Left 20 Corner: 0.007929 0.016556 0.000000 Top 21 Left 21 Corner: 0.010609 0.020094 0.000000 Top 22 Left 22 Corner: 0.015199 0.023813 0.000000 Top 23 Left 23 Corner: 0.004296 0.006332 0.000000 Top 24 Left 24 Corner: 0.005632 0.008111 0.000000 Top 25 Left 25 Corner: 0.028602 0.043429 1.074301 Top 26 Left 26 Corner: 0.120471 0.176730 4.945877 Top 27 Left 27 Corner: 0.150929 0.215358 5.952172 Top 28 Left 28 Corner: 0.162605 0.204211 6.447454 Top 29 Left 29 Corner: 0.169936 0.232467 6.801649 Top 30 Left 30 Corner: 0.574090 0.689600 22.658100 Top 31 Left 31 Corner: 0.236524 0.265913 9.168845 Top 32 Left 31 Corner: 0.736481 0.829168 29.636518 Top 33 Left 31 Corner: 0.808451 0.882418 32.532679 Top 34 Left 31 Corner: 0.867833 0.919267 34.922220 Top 35 Left 31 Corner: 0.938305 0.965266 37.758088 Top 36 Left 31 Corner: 1.000000 1.000000 40.240733 Det Product: 0+0i -8.0911e-051+7.8184e-051i 0+0i