TA Algorithm to find a lean design Runs n=36, Factors s=23. Initial Design: 1 1 1 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 1 2 2 2 3 3 3 3 2 2 3 3 2 2 1 2 1 2 2 2 2 1 1 1 2 3 3 2 2 2 2 3 3 3 3 2 2 2 1 2 2 2 1 2 1 1 2 1 3 3 2 2 3 3 2 2 2 2 3 3 1 1 1 2 1 1 2 2 2 2 2 2 3 2 3 3 1 3 1 1 2 1 2 2 2 1 1 2 1 1 2 1 2 2 2 3 2 3 1 3 1 3 2 1 2 1 1 2 2 1 1 2 2 2 1 2 1 3 2 3 2 3 1 3 1 2 1 2 1 2 1 2 2 1 2 1 2 1 1 2 3 2 3 2 1 3 1 3 1 2 1 2 1 1 2 1 2 2 1 1 2 2 2 2 3 3 2 1 2 2 1 3 1 1 3 2 2 1 2 1 2 1 1 2 2 1 2 3 3 2 2 1 1 2 1 3 3 1 1 2 2 2 2 1 1 2 2 1 1 3 2 2 3 1 2 2 1 1 3 3 1 2 1 1 1 2 2 2 2 2 1 1 3 2 2 3 2 1 1 2 3 1 1 3 1 1 1 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 2 1 2 3 3 1 1 1 1 3 3 1 1 3 3 1 2 1 2 2 2 2 1 1 1 2 1 1 3 3 3 3 1 1 1 1 3 3 2 1 2 2 2 1 2 1 1 2 1 1 1 3 3 1 1 3 3 3 3 1 1 1 1 1 2 1 1 2 2 2 2 2 3 1 3 1 1 2 1 2 2 3 2 3 2 2 1 1 2 1 1 2 1 2 2 3 1 3 1 2 1 2 1 3 2 3 2 1 2 2 1 1 2 2 2 1 2 1 1 3 1 3 1 2 1 2 3 2 3 2 2 1 2 2 1 2 1 2 1 1 2 1 3 1 3 2 1 2 1 2 3 2 3 1 1 2 1 2 2 1 1 2 2 2 3 1 1 3 2 3 3 2 1 2 2 1 2 2 1 2 1 2 1 1 2 2 1 3 1 1 3 3 2 2 3 2 1 1 2 1 2 2 2 2 1 1 2 2 1 1 1 3 3 1 2 3 3 2 2 1 1 2 2 1 1 1 2 2 2 2 2 1 1 1 3 3 1 3 2 2 3 1 2 2 1 1 1 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 2 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 1 1 1 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 2 1 1 2 1 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 1 2 2 2 2 2 1 2 1 2 2 3 2 3 3 1 3 1 2 2 1 1 2 1 1 2 1 2 2 1 2 1 2 3 2 3 2 1 3 1 3 1 2 2 1 1 2 2 2 1 2 1 2 1 2 1 2 3 2 3 1 3 1 3 2 1 2 2 1 2 1 2 1 1 2 2 1 2 1 3 2 3 2 3 1 3 1 1 1 2 1 2 2 1 1 2 2 2 1 2 2 1 3 1 1 3 2 3 3 2 2 2 1 2 1 2 1 1 2 2 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 1 1 2 3 1 1 3 3 2 2 3 2 1 1 1 2 2 2 2 2 1 1 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 2 1 2 1 1 2 2 1 2 2 1 2 3 1 3 1 2 3 3 1 2 2 2 1 1 1 2 1 2 1 2 1 1 1 3 3 3 1 1 3 3 1 3 1 2 2 2 2 1 1 2 2 1 1 2 3 1 3 1 1 1 3 2 2 2 3 2 1 2 2 1 2 1 2 1 1 2 1 3 2 2 1 3 2 3 2 3 1 1 1 1 1 1 1 1 1 1 1 1 1 3 2 2 3 2 3 3 2 2 3 2 3 2 1 1 1 2 2 2 2 2 1 1 3 2 1 2 2 1 2 3 3 1 1 3 1 2 2 1 1 2 2 2 1 2 1 2 3 1 1 2 3 3 2 3 2 1 1 1 1 1 2 1 1 2 2 2 2 2 1 1 2 2 1 1 3 2 3 2 3 3 1 1 2 1 2 2 1 1 2 2 2 2 1 2 1 3 2 3 3 2 1 1 3 2 1 2 2 2 1 2 1 1 2 1 1 2 2 1 2 1 1 1 2 2 1 2 2 2 1 1 2 1 1 2 1 2 2 1 2 1 1 1 2 3 3 3 3 2 2 1 2 1 2 2 2 2 1 1 1 2 3 3 3 1 1 1 3 1 1 3 1 3 2 2 2 1 1 1 2 1 2 1 2 3 3 3 2 2 2 3 3 2 2 3 2 1 2 2 1 1 2 2 2 1 2 1 3 1 2 2 3 1 1 3 1 3 2 2 2 1 2 2 1 2 1 2 1 1 2 2 1 3 3 2 1 3 1 3 1 2 2 2 2 1 2 1 2 1 1 2 2 1 1 1 3 1 2 3 2 3 1 2 2 3 1 2 2 1 1 2 2 2 1 2 1 1 2 3 3 1 2 2 1 2 1 3 3 2 1 1 1 2 2 2 2 2 1 1 1 3 2 3 3 2 3 1 1 2 2 1 2 2 2 1 1 1 2 1 2 1 2 2 2 2 1 1 1 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 2 2 1 1 2 1 2 1 2 2 2 2 1 1 2 2 1 1 1 2 3 2 3 3 3 2 1 1 1 2 1 2 1 2 2 2 2 1 1 1 2 1 1 1 2 2 2 1 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 1 3 1 1 3 3 1 3 1 2 1 2 2 1 2 1 2 1 1 2 3 2 1 1 3 2 1 2 1 2 3 3 1 1 1 2 1 1 2 2 2 2 2 2 2 3 3 2 2 1 3 1 3 1 1 2 1 1 1 2 2 2 2 2 1 1 2 1 3 1 1 3 1 2 2 3 3 2 2 1 2 2 2 1 2 1 1 2 1 3 1 1 3 1 3 3 3 1 1 3 1 2 2 1 1 2 1 1 2 1 2 2 3 1 3 3 3 1 2 2 2 2 1 1 1 1 2 1 2 2 1 1 2 2 2 1 3 1 3 2 1 2 2 1 3 3 2 2 2 1 2 1 2 1 1 2 2 1 3 3 2 3 1 2 1 2 3 1 1 2 2 2 1 1 2 1 1 2 1 2 2 2 3 2 2 2 3 1 1 1 1 3 3 1 2 1 2 2 2 2 1 1 1 2 2 2 2 3 3 3 2 3 3 2 3 2 1 2 2 2 2 1 1 2 2 1 1 3 1 2 1 2 2 2 1 3 3 3 1 2 1 2 2 2 1 2 1 1 2 1 2 3 3 2 3 2 2 2 3 3 2 3 1 1 2 1 2 2 1 1 2 2 2 3 2 3 2 1 3 1 1 3 2 2 1 1 1 1 2 1 1 2 2 2 2 2 3 3 1 1 3 3 2 1 2 1 2 2 Runs Permutation: 10 14 35 32 1 12 7 17 9 28 18 15 2 19 8 34 31 24 26 25 23 27 13 20 29 36 16 6 33 22 30 3 11 4 21 5 Factors Permutation: 1 2 3 4 5 6 7 8 9 10 11 15 16 17 19 13 18 14 20 12 22 21 23 Max Product Det: 2.6905e-013 ============================================ Expanded Matrix: 1 1 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 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 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 1 -1 -1 1 -1 0 2 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 0 2 0 2 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 -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 -1 0 2 1 -1 -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 -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 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 1 -1 0 2 -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 -1 -1 0 2 0 2 -1 -1 0 2 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 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 -1 1 -1 1 1 -1 1 -1 1 -1 0 2 0 2 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 -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 1 0 2 -1 -1 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 -1 -1 -1 -1 -1 1 -1 -1 -1 0 2 1 -1 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 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 -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 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 0 2 0 2 -1 -1 -1 -1 0 2 -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 0 2 -1 -1 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 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 -1 -1 -1 0 2 0 2 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 -1 1 -1 -1 -1 -1 -1 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 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 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 0 2 -1 -1 1 -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 -1 1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 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 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 0 2 -1 -1 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 -1 1 -1 0 2 1 -1 -1 -1 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 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 1 1 1 -1 -1 -1 1 0 2 0 2 0 2 1 -1 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 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 -1 1 -1 0 2 1 -1 1 -1 0 2 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 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 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 0 2 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: 0.232942 0.838593 8.385925 Top 11 Left 11 Corner: 0.265932 0.870324 9.573569 Top 12 Left 12 Corner: 0.333333 1.000000 12.000000 Top 13 Left 13 Corner: 0.316026 0.872612 11.027565 Top 14 Left 14 Corner: 0.295767 0.760823 10.868684 Top 15 Left 15 Corner: 0.329579 0.790990 11.772047 Top 16 Left 16 Corner: 0.310202 0.698039 11.576144 Top 17 Left 17 Corner: 0.340334 0.722159 12.375095 Top 18 Left 18 Corner: 0.347686 0.695910 13.131449 Top 19 Left 19 Corner: 0.375494 0.711274 13.847288 Top 20 Left 20 Corner: 0.396671 0.714434 15.125883 Top 21 Left 21 Corner: 0.422608 0.725001 15.763520 Top 22 Left 22 Corner: 0.448076 0.733874 17.220661 Top 23 Left 23 Corner: 0.465957 0.728320 17.544960 Top 24 Left 24 Corner: 0.499483 0.749591 19.322246 Top 25 Left 25 Corner: 0.529612 0.759130 20.100270 Top 26 Left 26 Corner: 0.540266 0.749006 21.015862 Top 27 Left 27 Corner: 0.561090 0.747574 21.439014 Top 28 Left 28 Corner: 0.604401 0.777745 23.622405 Top 29 Left 29 Corner: 0.636142 0.792171 24.448385 Top 30 Left 30 Corner: 0.679010 0.815425 26.647716 Top 31 Left 31 Corner: 0.709643 0.824135 27.411628 Top 32 Left 32 Corner: 0.732997 0.824874 28.870094 Top 33 Left 33 Corner: 0.814732 0.886680 31.611227 Top 34 Left 34 Corner: 0.836538 0.885978 33.052905 Top 35 Left 35 Corner: 0.920736 0.946391 35.865167 Top 36 Left 36 Corner: 1.000000 1.000000 39.623127 Det Product: 2.690523149616316e-013 0.001099080258441071 6.262435406375092e+037 ============================================ Expanded Matrix for initial design: 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 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 -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 -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 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 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 -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 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 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 -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 -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 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 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 -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 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 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 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 -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 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 -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 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 -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 -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 -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 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 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 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 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 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 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 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 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: 0.007752 0.027739 0.000000 Top 11 Left 11 Corner: 0.265932 0.870324 9.573569 Top 12 Left 12 Corner: 0.333333 1.000000 12.000000 Top 13 Left 13 Corner: 0.284060 0.799658 9.912137 Top 14 Left 14 Corner: 0.027418 0.067563 0.000000 Top 15 Left 15 Corner: 0.032509 0.068845 0.978148 Top 16 Left 16 Corner: 0.004979 0.008841 0.000000 Top 17 Left 17 Corner: 0.006279 0.011860 0.000000 Top 18 Left 18 Corner: 0.001060 0.002006 0.000000 Top 19 Left 19 Corner: 0.000199 0.000651 0.000000 Top 20 Left 20 Corner: 0.000058 0.000116 0.000000 Top 21 Left 21 Corner: 0.000543 0.000832 0.000000 Top 22 Left 22 Corner: 0.000829 0.001053 0.000000 Top 23 Left 23 Corner: 0.001085 0.001582 0.000000 Top 24 Left 24 Corner: 0.001428 0.002112 0.000000 Top 25 Left 25 Corner: 0.007637 0.012761 0.000000 Top 26 Left 26 Corner: 0.010472 0.014860 0.000000 Top 27 Left 27 Corner: 0.009758 0.018714 0.000000 Top 28 Left 28 Corner: 0.004201 0.005789 0.000000 Top 29 Left 29 Corner: 0.017399 0.023178 0.000000 Top 30 Left 30 Corner: 0.063351 0.087497 2.594079 Top 31 Left 31 Corner: 0.078454 0.087010 2.909616 Top 32 Left 32 Corner: 0.094154 0.106549 3.399715 Top 33 Left 33 Corner: 0.285676 0.317605 10.518892 Top 34 Left 34 Corner: 0.836538 0.886079 33.052905 Top 35 Left 35 Corner: 0.920736 0.946391 35.865167 Top 36 Left 36 Corner: 1.000000 1.000000 39.623127 Det Product: 0+0i -9.4596e-053+1.7694e-052i 0+0i