TA Algorithm to find a lean design Runs n=36, Factors s=19. Initial Design: 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 2 2 3 3 3 3 2 2 3 3 2 2 1 2 1 2 2 2 2 3 3 2 2 2 2 3 3 3 3 2 2 2 1 2 2 2 1 2 3 3 2 2 3 3 2 2 2 2 3 3 1 1 1 2 1 1 2 2 3 2 3 3 1 3 1 1 2 1 2 2 2 1 1 2 1 1 2 3 2 3 1 3 1 3 2 1 2 1 1 2 2 1 1 2 2 3 2 3 2 3 1 3 1 2 1 2 1 2 1 2 2 1 2 1 3 2 3 2 1 3 1 3 1 2 1 2 1 1 2 1 2 2 1 2 3 3 2 1 2 2 1 3 1 1 3 2 2 1 2 1 2 1 2 3 3 2 2 1 1 2 1 3 3 1 1 2 2 2 2 1 1 3 2 2 3 1 2 2 1 1 3 3 1 2 1 1 1 2 2 2 3 2 2 3 2 1 1 2 3 1 1 3 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 3 3 1 1 1 1 3 3 1 1 3 3 1 2 1 2 2 2 2 1 1 3 3 3 3 1 1 1 1 3 3 2 1 2 2 2 1 2 1 1 3 3 1 1 3 3 3 3 1 1 1 1 1 2 1 1 2 3 1 3 1 1 2 1 2 2 3 2 3 2 2 1 1 2 1 1 3 1 3 1 2 1 2 1 3 2 3 2 1 2 2 1 1 2 2 1 3 1 3 1 2 1 2 3 2 3 2 2 1 2 2 1 2 1 1 3 1 3 2 1 2 1 2 3 2 3 1 1 2 1 2 2 1 3 1 1 3 2 3 3 2 1 2 2 1 2 2 1 2 1 2 1 3 1 1 3 3 2 2 3 2 1 1 2 1 2 2 2 2 1 1 1 3 3 1 2 3 3 2 2 1 1 2 2 1 1 1 2 2 2 1 3 3 1 3 2 2 3 1 2 2 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 2 2 2 2 1 1 2 2 1 1 1 2 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 1 1 2 1 2 2 2 1 2 2 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 1 2 1 2 1 2 2 3 2 3 3 1 3 1 2 2 1 1 2 1 1 1 2 1 2 3 2 3 2 1 3 1 3 1 2 2 1 1 2 2 2 1 2 1 2 3 2 3 1 3 1 3 2 1 2 2 1 2 1 2 1 2 1 3 2 3 2 3 1 3 1 1 1 2 1 2 2 1 1 2 2 1 3 1 1 3 2 3 3 2 2 2 1 2 1 2 1 1 2 2 1 1 3 3 1 3 2 2 3 1 2 2 2 2 1 1 2 1 1 2 3 1 1 3 3 2 2 3 2 1 1 1 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: 1 2 2 2 2 1 1 2 1 3 3 1 3 3 1 2 2 2 1 2 1 2 2 2 1 2 3 2 2 3 3 3 2 3 2 3 2 2 1 1 1 2 1 1 2 2 2 1 2 1 3 2 3 3 1 3 1 2 2 1 1 2 1 1 3 2 1 2 1 2 3 1 2 3 1 3 1 1 2 1 2 2 1 1 2 3 3 2 2 2 1 1 3 3 1 2 2 2 1 1 1 2 2 2 2 1 1 2 1 1 1 1 2 2 2 2 1 2 1 2 1 1 1 2 2 1 3 3 2 1 3 3 2 1 2 1 2 2 2 2 1 1 1 2 2 1 2 1 2 1 2 2 1 2 2 1 1 2 2 3 2 3 2 3 1 3 2 1 1 2 1 2 1 1 1 2 2 2 2 3 2 2 3 1 1 1 2 3 3 1 1 2 2 2 2 1 1 1 3 2 2 3 2 2 3 1 1 1 3 1 1 1 2 1 1 2 1 1 3 1 3 2 1 2 2 3 2 3 1 1 2 1 2 2 1 3 1 2 2 1 1 1 3 3 2 2 3 2 1 2 2 1 2 1 2 3 1 3 1 1 2 2 1 3 2 3 1 2 2 1 1 2 2 1 3 1 3 1 2 1 3 2 2 3 2 1 2 1 2 2 2 2 3 3 3 1 1 3 1 3 1 3 1 1 2 1 2 2 2 1 2 1 3 3 1 1 1 3 1 3 1 3 3 2 2 2 1 1 1 2 3 3 3 2 2 3 2 2 2 2 3 3 1 1 1 2 1 1 2 3 3 2 3 2 1 3 1 1 2 1 2 1 1 2 1 2 2 1 2 3 1 1 3 3 3 2 2 1 1 2 2 1 2 2 2 1 2 2 1 1 2 2 2 1 2 1 2 1 1 2 1 1 1 2 2 2 3 1 3 3 1 2 2 2 3 1 1 2 2 2 1 1 2 1 1 2 1 3 1 3 1 2 3 1 2 3 2 2 1 2 2 1 2 1 3 1 2 1 2 2 3 3 2 1 3 1 1 2 2 2 2 1 1 3 2 1 1 2 1 1 2 3 3 3 2 1 1 1 1 1 1 1 3 1 1 3 3 3 1 1 1 1 3 3 1 2 2 1 1 2 2 2 1 2 1 2 3 2 1 3 3 1 3 2 2 1 2 1 2 1 3 3 1 1 3 2 2 1 3 2 2 1 2 2 1 2 1 2 1 2 2 3 3 2 1 1 3 2 1 1 3 1 1 1 1 1 1 1 2 3 3 2 2 2 3 3 3 3 2 2 1 2 1 2 2 2 2 2 2 2 3 3 2 3 2 3 2 3 3 2 2 1 1 2 1 1 1 3 2 3 2 3 1 2 3 1 2 1 2 1 2 2 1 2 1 1 2 3 2 3 3 1 1 3 2 1 2 2 2 2 1 1 1 2 1 1 1 3 3 1 3 3 3 3 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 2 2 2 1 1 2 1 1 1 2 2 2 1 2 1 1 2 3 3 3 1 2 2 3 Runs Permutation: 23 4 29 30 9 26 34 27 7 12 11 17 33 20 19 15 16 2 5 21 28 24 18 32 35 13 31 22 10 1 3 6 8 14 25 36 Factors Permutation: 1 2 3 4 5 6 7 12 11 10 9 8 13 14 18 15 19 16 17 Max Product Det: 2.0973e-13 ============================================ Expanded Matrix: 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 0 2 0 2 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 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 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 0 2 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 0 2 -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 0 2 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 0 2 0 2 -1 -1 0 2 -1 -1 0 2 -1 -1 0 2 0 2 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 0 2 -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 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 -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 0 2 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 0 2 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 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 -1 -1 1 -1 -1 -1 1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 1 -1 1 1 1 -1 1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 1 -1 -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 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 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 0 2 0 2 -1 -1 -1 -1 0 2 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 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 0 2 1 -1 -1 -1 -1 -1 0 2 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 0 2 1 -1 0 2 1 1 -1 1 1 -1 1 -1 1 -1 -1 -1 0 2 -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 0 2 -1 -1 -1 -1 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 -1 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 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 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 0 2 1 -1 1 -1 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 0 2 0 2 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 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 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 1 -1 -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 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 0 2 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: 0.207257 0.829027 7.132557 Top 10 Left 10 Corner: 0.226337 0.815631 8.385925 Top 11 Left 11 Corner: 0.229241 0.776971 8.164781 Top 12 Left 12 Corner: 0.244633 0.737857 9.239342 Top 13 Left 13 Corner: 0.262871 0.742240 9.587833 Top 14 Left 14 Corner: 0.293053 0.755857 11.220734 Top 15 Left 15 Corner: 0.295182 0.726457 10.955719 Top 16 Left 16 Corner: 0.315525 0.713194 12.205946 Top 17 Left 17 Corner: 0.353327 0.738089 13.289790 Top 18 Left 18 Corner: 0.369002 0.743603 14.389182 Top 19 Left 19 Corner: 0.401337 0.763174 15.255349 Top 20 Left 20 Corner: 0.412829 0.746074 16.201485 Top 21 Left 21 Corner: 0.436039 0.750089 16.716276 Top 22 Left 22 Corner: 0.467298 0.767201 18.435277 Top 23 Left 23 Corner: 0.483872 0.760613 18.681056 Top 24 Left 24 Corner: 0.496619 0.746640 19.677605 Top 25 Left 25 Corner: 0.519070 0.751474 20.158835 Top 26 Left 26 Corner: 0.552355 0.765815 21.966889 Top 27 Left 27 Corner: 0.582728 0.774656 22.745358 Top 28 Left 28 Corner: 0.609923 0.785273 24.333159 Top 29 Left 29 Corner: 0.651313 0.808388 25.533038 Top 30 Left 30 Corner: 0.682772 0.820355 27.314238 Top 31 Left 31 Corner: 0.711310 0.827594 27.990740 Top 32 Left 32 Corner: 0.759836 0.855404 30.470123 Top 33 Left 32 Corner: 0.813841 0.888171 32.635802 Top 34 Left 32 Corner: 0.871686 0.923298 34.955408 Top 35 Left 32 Corner: 0.933641 0.960464 37.439880 Top 36 Left 32 Corner: 1.000000 1.000000 40.100938 Det Product: 2.097278714067912e-13 0.0009644859865503165 9.43949859338434e+37 ============================================ Expanded Matrix for initial design: 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 0.000614 0.000000 Top 6 Left 6 Corner: 0.111111 0.666667 4.000000 Top 7 Left 7 Corner: 0.001052 0.004848 0.000000 Top 8 Left 8 Corner: 0.002160 0.009742 0.000000 Top 9 Left 9 Corner: 0.003937 0.016472 0.000000 Top 10 Left 10 Corner: 0.000205 0.000791 0.000000 Top 11 Left 11 Corner: 0.007841 0.020463 0.000000 Top 12 Left 12 Corner: 0.000748 0.001727 0.000000 Top 13 Left 13 Corner: 0.001075 0.002843 0.000000 Top 14 Left 14 Corner: 0.001639 0.004045 0.000000 Top 15 Left 15 Corner: 0.002232 0.004032 0.000000 Top 16 Left 16 Corner: 0.000388 0.000739 0.000000 Top 17 Left 17 Corner: 0.004500 0.009351 0.000000 Top 18 Left 18 Corner: 0.005472 0.010424 0.000000 Top 19 Left 19 Corner: 0.007413 0.017146 0.000000 Top 20 Left 20 Corner: 0.008125 0.015199 0.000000 Top 21 Left 21 Corner: 0.011630 0.021454 0.000000 Top 22 Left 22 Corner: 0.015533 0.023397 0.000000 Top 23 Left 23 Corner: 0.017208 0.027747 0.000000 Top 24 Left 24 Corner: 0.005179 0.008088 0.000000 Top 25 Left 25 Corner: 0.027804 0.041452 1.000000 Top 26 Left 26 Corner: 0.116324 0.170100 4.762396 Top 27 Left 27 Corner: 0.140225 0.206283 5.311327 Top 28 Left 28 Corner: 0.164793 0.212003 6.550554 Top 29 Left 29 Corner: 0.176129 0.226215 6.499876 Top 30 Left 30 Corner: 0.581902 0.698983 23.278924 Top 31 Left 31 Corner: 0.233123 0.268819 8.907056 Top 32 Left 32 Corner: 0.258207 0.293717 10.012853 Top 33 Left 32 Corner: 0.270355 0.313960 11.373361 Top 34 Left 32 Corner: 0.298466 0.326147 11.728721 Top 35 Left 32 Corner: 0.933641 0.960464 37.439880 Top 36 Left 32 Corner: 1.000000 1.000000 40.100938 Det Product: 0+0i -3.1967e-49+2.9366e-49i 0+0i