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:(b) - f1(x1) ... f1(xs) f2(x1) ... f2(xs) Result Design: 1 1 2 1 2 2 3 1 2 3 3 1 3 1 2 1 2 2 1 2 2 2 2 1 1 3 2 3 1 2 3 3 2 2 1 1 2 2 1 1 2 1 1 1 2 2 2 1 3 2 3 3 1 3 1 1 1 2 1 1 2 2 1 1 3 1 3 3 3 2 1 2 2 1 2 2 1 2 3 3 3 3 2 1 1 2 1 2 1 2 1 2 2 1 1 2 1 1 2 2 3 3 1 3 1 2 3 2 1 2 1 2 2 2 3 2 3 2 2 3 3 3 2 2 2 3 2 2 2 1 1 1 3 1 3 1 1 1 3 3 1 3 3 1 1 1 1 1 1 1 2 3 3 2 3 2 3 2 2 3 3 2 1 2 2 1 1 2 3 3 1 1 2 2 3 2 3 1 2 1 1 1 2 1 2 2 1 2 3 1 1 2 1 2 3 2 3 3 1 1 1 1 1 1 3 1 1 3 1 3 1 3 3 1 1 3 2 1 2 2 2 1 1 3 3 1 3 3 3 1 1 1 1 3 2 1 2 2 1 2 2 2 2 2 1 3 3 1 3 1 3 1 1 2 2 2 2 1 2 1 3 1 2 3 1 1 3 3 2 2 1 1 1 1 1 1 1 2 2 1 2 1 2 1 1 2 2 1 1 1 2 1 2 2 2 3 1 2 2 3 2 3 1 3 1 1 1 2 2 2 2 1 3 2 1 2 3 1 2 2 1 1 3 3 2 2 1 1 2 1 2 2 3 3 3 2 1 3 1 1 2 1 1 2 2 1 1 2 2 2 3 3 1 1 2 1 2 3 1 3 1 2 1 2 2 2 2 1 2 1 1 2 2 2 1 1 1 2 1 2 1 2 2 2 1 3 1 3 3 1 1 1 3 3 3 1 2 1 1 1 2 2 3 2 2 1 3 3 1 2 2 3 1 1 2 1 1 1 2 2 2 1 1 3 2 2 3 1 1 2 3 3 2 2 1 2 1 2 2 3 2 1 2 1 1 3 2 1 3 3 1 1 1 2 1 1 1 1 3 3 2 3 2 2 2 1 3 1 2 2 1 2 1 2 3 1 3 2 3 2 2 1 3 2 1 1 2 1 2 2 2 1 3 2 2 3 2 2 2 3 3 3 3 2 2 2 2 1 1 1 2 3 2 3 3 3 2 2 3 2 2 3 2 1 2 2 1 2 1 1 1 1 3 2 2 3 2 3 2 3 2 2 1 1 2 1 3 3 1 1 1 3 2 1 2 2 3 2 2 1 2 2 2 1 2 1 1 2 1 1 1 2 2 2 2 1 2 2 2 1 1 1 1 2 1 2 2 2 1 1 2 1 1 2 2 1 1 1 2 2 1 3 3 2 1 1 2 3 3 1 2 2 2 2 1 2 1 2 1 2 1 3 1 3 3 2 1 3 2 2 1 1 1 2 1 1 3 3 2 2 1 2 1 1 1 3 2 3 Runs Permutation: 21 23 30 5 8 19 3 14 1 7 33 13 16 32 35 25 9 11 6 31 27 15 12 36 10 29 22 4 2 20 18 28 26 24 34 17 Factors Permutation: 1 2 3 4 5 6 7 9 14 12 10 15 13 8 11 18 17 16 Max Product Det: 6.3429e-013 ============================================ Expanded Matrix: 1 -1 -1 1 -1 1 1 1 -1 0 1 1 -1 1 -1 0 -1 0 0 -1 -1 2 -1 -1 -1 -1 -1 2 -1 2 2 1 -1 1 1 1 1 -1 -1 1 0 1 -1 0 1 1 0 0 -1 -1 -1 -1 2 -1 -1 2 -1 -1 2 2 -1 -1 1 1 1 -1 -1 1 -1 -1 -1 0 0 0 -1 1 0 1 1 -1 1 -1 -1 2 2 2 -1 -1 2 -1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 0 0 -1 -1 1 -1 1 1 1 0 -1 0 2 2 -1 -1 -1 -1 -1 -1 -1 2 -1 2 1 1 -1 1 1 -1 1 1 1 1 1 0 -1 -1 0 -1 0 -1 0 -1 -1 -1 -1 2 -1 -1 2 -1 2 -1 2 1 -1 1 1 -1 -1 1 -1 -1 0 0 1 1 -1 1 -1 0 1 0 -1 -1 2 2 -1 -1 -1 -1 -1 2 -1 2 1 -1 1 -1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 -1 2 -1 2 2 -1 -1 -1 2 2 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 0 1 1 0 1 0 1 0 0 1 1 0 2 -1 -1 2 -1 2 -1 2 2 -1 -1 2 1 -1 1 1 -1 -1 1 1 1 -1 -1 0 0 1 0 1 -1 0 -1 -1 -1 -1 -1 2 2 -1 2 -1 -1 2 -1 1 -1 -1 1 -1 1 1 -1 0 1 -1 -1 0 -1 0 1 0 1 1 -1 2 -1 -1 -1 2 -1 2 -1 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 0 0 0 0 -1 1 1 -1 1 -1 1 -1 2 2 2 2 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 -1 0 -1 1 -1 0 1 -1 -1 1 1 0 0 2 -1 -1 -1 2 -1 -1 -1 -1 -1 2 2 1 -1 -1 -1 -1 -1 -1 -1 0 0 -1 0 -1 0 -1 -1 0 0 -1 -1 2 2 -1 2 -1 2 -1 -1 2 2 -1 1 -1 -1 1 -1 1 1 0 1 -1 0 0 1 0 1 -1 1 -1 -1 2 -1 -1 2 2 -1 2 -1 -1 -1 -1 -1 1 -1 1 1 1 1 -1 1 0 -1 0 1 -1 0 0 -1 -1 1 1 -1 2 -1 2 -1 -1 2 2 -1 -1 -1 -1 1 1 1 -1 -1 1 -1 0 0 1 1 1 0 -1 1 -1 -1 0 -1 2 2 -1 -1 -1 2 -1 -1 -1 -1 2 -1 1 -1 1 1 -1 -1 1 0 0 1 1 -1 -1 0 -1 0 1 -1 1 2 2 -1 -1 -1 -1 2 -1 2 -1 -1 -1 1 -1 1 -1 1 1 1 0 -1 0 -1 -1 0 0 0 -1 -1 -1 0 2 -1 2 -1 -1 2 2 2 -1 -1 -1 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 0 0 -1 1 1 -1 0 0 1 -1 -1 -1 2 2 -1 -1 -1 -1 2 2 -1 -1 -1 1 1 -1 -1 -1 1 1 0 -1 -1 1 0 0 1 -1 -1 0 1 1 2 -1 -1 -1 2 2 -1 -1 -1 2 -1 -1 1 1 1 -1 1 -1 1 0 1 0 -1 0 -1 -1 1 0 -1 1 1 2 -1 2 -1 2 -1 -1 -1 2 -1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 1 1 0 1 0 0 0 -1 1 -1 -1 -1 -1 -1 2 -1 2 2 2 -1 -1 -1 1 1 1 -1 1 -1 1 1 -1 1 0 1 0 0 -1 1 0 -1 -1 -1 -1 -1 2 -1 2 2 -1 -1 2 -1 -1 1 1 -1 1 1 1 -1 1 0 0 1 0 0 0 1 1 1 1 0 -1 2 2 -1 2 2 2 -1 -1 -1 -1 2 1 1 1 1 -1 -1 -1 0 1 0 1 1 1 0 0 1 0 0 1 2 -1 2 -1 -1 -1 2 2 -1 2 2 -1 1 1 -1 1 1 -1 1 -1 -1 -1 -1 1 0 0 1 0 1 0 1 -1 -1 -1 -1 -1 2 2 -1 2 -1 2 -1 1 1 1 -1 -1 1 -1 1 1 -1 -1 -1 1 0 -1 0 0 1 0 -1 -1 -1 -1 -1 -1 2 -1 2 2 -1 2 1 1 -1 1 1 1 -1 0 -1 -1 0 -1 -1 -1 0 0 0 0 -1 2 -1 -1 2 -1 -1 -1 2 2 2 2 -1 1 1 1 1 -1 -1 -1 -1 0 -1 0 0 0 -1 -1 0 -1 -1 0 -1 2 -1 2 2 2 -1 -1 2 -1 -1 2 1 1 -1 -1 -1 1 1 -1 1 1 0 -1 -1 0 1 1 -1 0 0 -1 -1 -1 2 -1 -1 2 -1 -1 -1 2 2 1 1 1 -1 1 -1 1 -1 0 -1 1 -1 1 1 0 -1 1 0 0 -1 2 -1 -1 -1 -1 -1 2 -1 -1 2 2 1 -1 -1 -1 1 -1 -1 1 1 0 0 -1 0 -1 -1 -1 1 0 1 -1 -1 2 2 -1 2 -1 -1 -1 -1 2 -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: 0.193435 0.841365 6.619502 Top 9 Left 9 Corner: 0.205031 0.792506 6.745140 Top 10 Left 10 Corner: 0.229018 0.803363 7.300372 Top 11 Left 11 Corner: 0.248419 0.798448 7.717096 Top 12 Left 12 Corner: 0.270227 0.787975 8.216004 Top 13 Left 13 Corner: 0.299419 0.795883 8.939400 Top 14 Left 14 Corner: 0.317826 0.777185 9.342131 Top 15 Left 15 Corner: 0.330892 0.758368 9.595641 Top 16 Left 16 Corner: 0.347297 0.749957 9.952957 Top 17 Left 17 Corner: 0.366246 0.756824 10.387048 Top 18 Left 18 Corner: 0.383553 0.748978 10.777474 Top 19 Left 19 Corner: 0.411497 0.762779 11.467113 Top 20 Left 20 Corner: 0.432719 0.762285 12.644615 Top 21 Left 21 Corner: 0.462914 0.778787 14.120463 Top 22 Left 22 Corner: 0.471453 0.751498 14.953421 Top 23 Left 23 Corner: 0.482476 0.736849 15.858327 Top 24 Left 24 Corner: 0.526593 0.773058 17.883246 Top 25 Left 25 Corner: 0.565168 0.798391 19.778958 Top 26 Left 26 Corner: 0.558575 0.766428 20.098211 Top 27 Left 27 Corner: 0.598856 0.789979 22.108335 Top 28 Left 28 Corner: 0.625210 0.797460 23.638535 Top 29 Left 29 Corner: 0.662824 0.817741 25.623520 Top 30 Left 30 Corner: 0.690644 0.826974 27.258262 Top 31 Left 31 Corner: 0.720196 0.837330 28.981211 Top 32 Left 31 Corner: 0.770163 0.867254 30.991919 Top 33 Left 31 Corner: 0.823178 0.898613 33.125296 Top 34 Left 31 Corner: 0.879258 0.931252 35.381987 Top 35 Left 31 Corner: 0.938305 0.965266 37.758088 Top 36 Left 31 Corner: 1.000000 1.000000 40.240733 Det Product: 6.342932438619268e-013 0.001489330774707913 5.838090844605031e+036 ============================================ Expanded Matrix for initial design: 1 -1 -1 -1 -1 -1 -1 0 0 1 1 0 0 1 1 0 0 1 1 2 2 -1 -1 2 2 -1 -1 2 2 -1 -1 1 1 1 1 -1 -1 -1 0 0 1 1 1 1 0 0 1 1 0 0 2 2 -1 -1 -1 -1 2 2 -1 -1 2 2 1 -1 1 -1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 -1 -1 2 2 2 2 -1 -1 -1 -1 2 2 1 1 -1 1 1 1 -1 1 1 0 0 1 1 0 0 0 0 1 1 -1 -1 2 2 -1 -1 2 2 2 2 -1 -1 1 -1 -1 -1 1 -1 -1 0 1 0 1 1 -1 1 -1 -1 0 -1 0 2 -1 2 -1 -1 -1 -1 -1 -1 2 -1 2 1 1 1 -1 -1 1 -1 0 1 0 1 -1 1 -1 1 0 -1 0 -1 2 -1 2 -1 -1 -1 -1 -1 2 -1 2 -1 1 -1 1 1 -1 -1 1 1 0 1 0 1 -1 1 -1 0 -1 0 -1 -1 2 -1 2 -1 -1 -1 -1 2 -1 2 -1 1 1 -1 1 1 -1 1 1 0 1 0 -1 1 -1 1 -1 0 -1 0 -1 2 -1 2 -1 -1 -1 -1 -1 2 -1 2 1 -1 -1 1 -1 1 1 0 1 1 0 -1 0 0 -1 1 -1 -1 1 2 -1 -1 2 -1 2 2 -1 -1 -1 -1 -1 1 1 1 -1 1 -1 1 0 1 1 0 0 -1 -1 0 -1 1 1 -1 2 -1 -1 2 2 -1 -1 2 -1 -1 -1 -1 1 -1 1 1 1 1 -1 1 0 0 1 -1 0 0 -1 -1 1 1 -1 -1 2 2 -1 -1 2 2 -1 -1 -1 -1 -1 1 1 -1 -1 -1 1 1 1 0 0 1 0 -1 -1 0 1 -1 -1 1 -1 2 2 -1 2 -1 -1 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 0 -1 0 0 1 0 1 -1 -1 -1 -1 -1 2 -1 2 2 -1 2 -1 1 1 1 -1 -1 1 -1 1 -1 1 -1 0 -1 0 -1 1 0 1 0 -1 -1 -1 -1 2 -1 2 -1 -1 2 -1 2 1 -1 1 1 -1 -1 1 -1 1 -1 1 -1 0 -1 0 1 0 1 0 -1 -1 -1 -1 -1 2 -1 2 -1 2 -1 2 1 1 -1 1 1 -1 1 -1 1 -1 1 0 -1 0 -1 0 1 0 1 -1 -1 -1 -1 2 -1 2 -1 2 -1 2 -1 1 -1 -1 1 -1 1 1 1 -1 -1 1 0 1 1 0 -1 0 0 -1 -1 -1 -1 -1 2 -1 -1 2 -1 2 2 -1 1 1 1 -1 1 -1 1 1 -1 -1 1 1 0 0 1 0 -1 -1 0 -1 -1 -1 -1 -1 2 2 -1 2 -1 -1 2 1 -1 1 1 1 1 -1 -1 1 1 -1 0 1 1 0 0 -1 -1 0 -1 -1 -1 -1 2 -1 -1 2 2 -1 -1 2 1 1 -1 -1 -1 1 1 -1 1 1 -1 1 0 0 1 -1 0 0 -1 -1 -1 -1 -1 -1 2 2 -1 -1 2 2 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 0 0 -1 -1 0 0 -1 -1 0 0 -1 -1 2 2 -1 -1 2 2 -1 -1 2 2 1 1 1 1 -1 -1 -1 -1 -1 0 0 0 0 -1 -1 0 0 -1 -1 -1 -1 2 2 2 2 -1 -1 2 2 -1 -1 1 -1 1 -1 1 1 1 0 0 -1 -1 -1 -1 0 0 0 0 -1 -1 2 2 -1 -1 -1 -1 2 2 2 2 -1 -1 1 1 -1 1 1 1 -1 0 0 -1 -1 0 0 -1 -1 -1 -1 0 0 2 2 -1 -1 2 2 -1 -1 -1 -1 2 2 1 -1 -1 -1 1 -1 -1 -1 0 -1 0 0 1 0 1 1 -1 1 -1 -1 2 -1 2 2 -1 2 -1 -1 -1 -1 -1 1 1 1 -1 -1 1 -1 -1 0 -1 0 1 0 1 0 -1 1 -1 1 -1 2 -1 2 -1 2 -1 2 -1 -1 -1 -1 1 -1 1 1 -1 -1 1 0 -1 0 -1 0 1 0 1 -1 1 -1 1 2 -1 2 -1 2 -1 2 -1 -1 -1 -1 -1 1 1 -1 1 1 -1 1 0 -1 0 -1 1 0 1 0 1 -1 1 -1 2 -1 2 -1 -1 2 -1 2 -1 -1 -1 -1 1 -1 -1 1 -1 1 1 -1 0 0 -1 1 -1 -1 1 0 1 1 0 -1 2 2 -1 -1 -1 -1 -1 2 -1 -1 2 1 1 1 -1 1 -1 1 -1 0 0 -1 -1 1 1 -1 1 0 0 1 -1 2 2 -1 -1 -1 -1 -1 -1 2 2 -1 1 -1 1 1 1 1 -1 0 -1 -1 0 1 -1 -1 1 1 0 0 1 2 -1 -1 2 -1 -1 -1 -1 -1 2 2 -1 1 1 -1 -1 -1 1 1 0 -1 -1 0 -1 1 1 -1 0 1 1 0 2 -1 -1 2 -1 -1 -1 -1 2 -1 -1 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: 0.114058 0.487022 3.752285 Top 10 Left 10 Corner: 0.103131 0.399052 3.287504 Top 11 Left 11 Corner: 0.006787 0.021676 0.000000 Top 12 Left 12 Corner: 0.010760 0.023954 0.000000 Top 13 Left 13 Corner: 0.157080 0.461848 4.689766 Top 14 Left 14 Corner: 0.184552 0.488653 5.424707 Top 15 Left 15 Corner: 0.026616 0.057681 0.000000 Top 16 Left 16 Corner: 0.034033 0.061200 0.000000 Top 17 Left 17 Corner: 0.221040 0.455490 6.268885 Top 18 Left 18 Corner: 0.265534 0.514791 7.461239 Top 19 Left 19 Corner: 0.312885 0.574160 8.719098 Top 20 Left 20 Corner: 0.058619 0.106845 1.756341 Top 21 Left 21 Corner: 0.067435 0.116054 1.954012 Top 22 Left 22 Corner: 0.075555 0.108068 2.286641 Top 23 Left 23 Corner: 0.078350 0.121182 2.336747 Top 24 Left 24 Corner: 0.090744 0.133493 3.001421 Top 25 Left 25 Corner: 0.105484 0.163664 3.749285 Top 26 Left 26 Corner: 0.123216 0.173318 4.375879 Top 27 Left 27 Corner: 0.138424 0.199195 4.957738 Top 28 Left 28 Corner: 0.159270 0.204234 6.005987 Top 29 Left 29 Corner: 0.175459 0.231512 6.605700 Top 30 Left 30 Corner: 0.574090 0.689600 22.658100 Top 31 Left 31 Corner: 0.232816 0.271517 8.915001 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 -3.9815e-026+1.1837e-025i 0+0i