All these tensor examples are from our paper
[A,B]=Ex2_1;
A(:,:,1) = 1 2 3 4 A(:,:,2) = 5 6 7 0 B = 1 0 0 1
Calculate the mode-1 eigenvalues of A. The result is a row vector.
lambda = teneig(A,B,1)
lambda = Columns 1 through 4 0.4105 + 0.0000i -0.4105 + 0.0000i -9.8995 + 0.0000i 9.8995 - 0.0000i Columns 5 through 6 -4.3820 + 0.0000i 4.3820 - 0.0000i
Calculate the mode-2 eigenvalues of A. The result is a row vector.
lambda = teneig(A,B,2)
lambda = Columns 1 through 4 0.2851 + 0.0000i -0.2851 + 0.0000i -9.5652 + 0.0000i 9.5652 - 0.0000i Columns 5 through 6 -4.3536 + 0.0000i 4.3536 - 0.0000i
Calculate the mode-3 eigenvalues of A. The result is a row vector.
lambda = teneig(A,B,3)
lambda = Columns 1 through 4 0.2936 - 0.0000i -0.2936 + 0.0000i -9.4025 + 0.0000i 9.4025 - 0.0000i Columns 5 through 6 -4.3007 + 0.0000i 4.3007 - 0.0000i
[A]=Ex4_1(5)
A(:,:,1) = -3.0000 -1.5000 -2.3333 -1.7500 -2.2000 -1.5000 0 -0.8333 -0.2500 -0.7000 -2.3333 -0.8333 -1.6667 -1.0833 -1.5333 -1.7500 -0.2500 -1.0833 -0.5000 -0.9500 -2.2000 -0.7000 -1.5333 -0.9500 -1.4000 A(:,:,2) = -1.5000 0 -0.8333 -0.2500 -0.7000 0 1.5000 0.6667 1.2500 0.8000 -0.8333 0.6667 -0.1667 0.4167 -0.0333 -0.2500 1.2500 0.4167 1.0000 0.5500 -0.7000 0.8000 -0.0333 0.5500 0.1000 A(:,:,3) = -2.3333 -0.8333 -1.6667 -1.0833 -1.5333 -0.8333 0.6667 -0.1667 0.4167 -0.0333 -1.6667 -0.1667 -1.0000 -0.4167 -0.8667 -1.0833 0.4167 -0.4167 0.1667 -0.2833 -1.5333 -0.0333 -0.8667 -0.2833 -0.7333 A(:,:,4) = -1.7500 -0.2500 -1.0833 -0.5000 -0.9500 -0.2500 1.2500 0.4167 1.0000 0.5500 -1.0833 0.4167 -0.4167 0.1667 -0.2833 -0.5000 1.0000 0.1667 0.7500 0.3000 -0.9500 0.5500 -0.2833 0.3000 -0.1500 A(:,:,5) = -2.2000 -0.7000 -1.5333 -0.9500 -1.4000 -0.7000 0.8000 -0.0333 0.5500 0.1000 -1.5333 -0.0333 -0.8667 -0.2833 -0.7333 -0.9500 0.5500 -0.2833 0.3000 -0.1500 -1.4000 0.1000 -0.7333 -0.1500 -0.6000
Calculate the Z-eigenvalues of A.
lambda = zeig(A)
lambda = Columns 1 through 8 -9.9779 -4.2876 0 0 0 0 0 0 Columns 9 through 16 0 0 0 0 0 0 0 0 Columns 17 through 24 0 0 0 0 0 0 0 0 Columns 25 through 32 0 0 0 0 0 0 0 0 Columns 33 through 40 0 0 0 0 0 0 0 0 Columns 41 through 48 0 0 0 0 0 0 0 0 Columns 49 through 56 0 0 0 0 0 0 0 0 Columns 57 through 62 0 0 0 0 4.2876 9.9779
A = rand(5,5,5)+i*rand(5,5,5);
Calculate the Qi-eigenpairs of A.
[lambda,V] = teig(A); N = length(lambda)
N = 80
Similarly we can compute the Qi-eigenpairs of other random tensors A of different mode and dimension.
A = rand(5,5,5)+i*rand(5,5,5);
Calculate the E-eigenpairs of A.
[lambda,V] = eeig(A); M = length(lambda)
M = 62
Note that M is the number of eigenpairs if choosing m'=2 representatives from each equivalence class. So the number of equivalence classes N in this case should be M/m'=31.
Similarly we can compute the E-eigenpairs of other random tensors A of different mode and dimension.
A = rand(7,7,7)+i*rand(7,7,7); B = rand(7,7,7)+i*rand(7,7,7);
Calculate the B-eigenpairs of A.
[lambda,V] = teig(A,B); N = length(lambda)
N = 448
Similarly we can compute the B-eigenpairs of other random tensors A with A and B having the same mode and dimension.
A = rand(7,7,7)+i*rand(7,7,7); B = rand(7,7)+i*rand(7,7);
Calculate the B-eigenpairs of A.
[lambda,V] = teneig(A,B); M = length(lambda)
M = 254
Note that M is the number of eigenpairs if choosing m'=2 representatives from each equivalence class. So the number of equivalence classes N in this case should be M/m'=127.
Similarly we can compute the B-eigenpairs of other random tensors A with A and B having different mode but the same dimension.
P = Ex5_5()
P = 'z^6+x^4*y^2+x^2*y^4-3*x^2*y^2*z^2'
Calculate the Z-eigenpairs of the symmetric tensor defined by P.
[lambda,V] = zeig(P)
lambda = Columns 1 through 8 0 0 0 0 0 0 0 0 Columns 9 through 16 0 0 0 0 0 0 0 0 Columns 17 through 24 0 0 0 0 0 0 0 0 Columns 25 through 32 0 0 0 0 0.0156 0.0156 0.0156 0.0156 Columns 33 through 40 0.0156 0.0156 0.0156 0.0156 0.0156 0.0156 0.0156 0.0156 Columns 41 through 48 0.0156 0.0156 0.0156 0.0156 0.2500 0.2500 0.2500 0.2500 Columns 49 through 50 1.0000 1.0000 V = Columns 1 through 8 -1.0000 1.0000 -1.0000 1.0000 -1.0000 1.0000 -1.0000 1.0000 0 0 0 0 0 0 0 0 -0.0004 0.0004 -0.0004 0.0004 0.0002 -0.0002 0.0001 -0.0001 Columns 9 through 16 -1.0000 1.0000 -0.5774 0.5774 -0.5774 0.5774 -0.5774 0.5774 0 0 -0.5774 0.5774 -0.5774 0.5774 0.5774 -0.5774 0.0004 -0.0004 -0.5774 0.5774 0.5774 -0.5774 -0.5774 0.5774 Columns 17 through 24 0 0 0 0 0 0 0 0 -1.0000 1.0000 -1.0000 1.0000 -1.0000 1.0000 -1.0000 1.0000 -0.0001 0.0001 0.0003 -0.0003 -0.0005 0.0005 0.0003 -0.0003 Columns 25 through 32 0 0 0.5774 -0.5774 0.2623 -0.2623 -0.8253 0.8253 -1.0000 1.0000 -0.5774 0.5774 -0.8253 0.8253 0.2623 -0.2623 -0.0002 0.0002 -0.5774 0.5774 0.5000 -0.5000 -0.5000 0.5000 Columns 33 through 40 -0.8253 0.8253 -0.8253 0.8253 0.2623 -0.2623 -0.8253 0.8253 -0.2623 0.2623 0.2623 -0.2623 -0.8253 0.8253 -0.2623 0.2623 -0.5000 0.5000 0.5000 -0.5000 -0.5000 0.5000 0.5000 -0.5000 Columns 41 through 48 -0.2623 0.2623 -0.2623 0.2623 -0.7071 0.7071 0.7071 -0.7071 -0.8253 0.8253 -0.8253 0.8253 -0.7071 0.7071 -0.7071 0.7071 -0.5000 0.5000 0.5000 -0.5000 0 0 0 0 Columns 49 through 50 0 0 0 0 -1.0000 1.0000
Calculate the H-eigenpairs of the symmetric tensor defined by P.
[lambda,V] = heig(P)
lambda = Columns 1 through 8 0 0 0 0 0 0 0 0 Columns 9 through 16 0 0 0 0 0 0 0.0555 0.0555 Columns 17 through 24 0.0555 0.0555 0.0555 0.0555 0.0555 0.0555 1.0000 1.0000 Columns 25 through 32 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 Columns 33 through 37 1.0000 1.0000 1.0000 1.0000 1.0000 V = Columns 1 through 8 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 0 0 0 0 0 1.0000 1.0000 -1.0000 0.0006 0.0014 -0.0010 0.0003 -0.0012 1.0000 -1.0000 1.0000 Columns 9 through 16 0 0 0 0 0 -1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 -0.4568 0.4568 -0.0002 0.0012 -0.0013 0.0009 -0.0007 1.0000 0.6856 0.6856 Columns 17 through 24 1.0000 0.4568 0.4568 1.0000 -0.4568 -0.4568 1.0000 0.0000 0.4568 1.0000 1.0000 -0.4568 1.0000 1.0000 1.0000 0 -0.6856 0.6856 -0.6856 -0.6856 0.6856 -0.6856 0 1.0000 Columns 25 through 32 0.0015 -0.0014 0 0 0.0000 -0.0000 0.0000 0 0 0 -0.0000 0.0014 0.0000 -0.0000 -0.0000 -0.0014 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 Columns 33 through 37 0 0 0.0009 -0.0010 -1.0000 0.0008 -0.0008 0 0 1.0000 1.0000 1.0000 1.0000 1.0000 0
P = Ex5_7(4); % n=4
P = '(x1-x2)^4+(x1-x3)^4+(x1-x4)^4+(x2-x3)^4+(x2-x4)^4+(x3-x4)^4'
Calculate the Z-eigenvalues of the symmetric tensor defined by P. The result is a row vector.
lambda = zeig(P); distinct_lambda = distinct(lambda)
distinct_lambda = 0 4.0000 5.0000 5.3333
Simply replace n by 5 to 10, we can calculate the Z-eigenvalues of the corresponding tensors defined by P in Example 5.7.
P = ExA_1()
P = 'x1^4+2*x2^4+3*x3^4'
Calculate the Z-eigenpairs of the symmetric tensor defined by P. The result is a row vector.
[lambda,V] = zeig(P)
lambda = Columns 1 through 8 0.5455 0.5455 0.5455 0.5455 0.5455 0.5455 0.5455 0.5455 Columns 9 through 16 0.6667 0.6667 0.6667 0.6667 0.7500 0.7500 0.7500 0.7500 Columns 17 through 24 1.0000 1.0000 1.2000 1.2000 1.2000 1.2000 2.0000 2.0000 Columns 25 through 26 3.0000 3.0000 V = Columns 1 through 8 -0.7385 0.7385 0.7385 -0.7385 -0.7385 0.7385 -0.7385 0.7385 0.5222 -0.5222 -0.5222 0.5222 -0.5222 0.5222 -0.5222 0.5222 -0.4264 0.4264 -0.4264 0.4264 0.4264 -0.4264 -0.4264 0.4264 Columns 9 through 16 -0.8165 0.8165 -0.8165 0.8165 -0.8660 0.8660 -0.8660 0.8660 -0.5774 0.5774 0.5774 -0.5774 0 0 0 0 0 0 0 0 0.5000 -0.5000 -0.5000 0.5000 Columns 17 through 24 -1.0000 1.0000 0 0 0 0 0 0 0 0 -0.7746 0.7746 -0.7746 0.7746 -1.0000 1.0000 0 0 0.6325 -0.6325 -0.6325 0.6325 0 0 Columns 25 through 26 0 0 0 0 -1.0000 1.0000
P = ExA_2(2)
Calculate the Z-eigenvalues of the symmetric tensor defined by P. The result is a row vector.
lambda = zeig(P)
lambda = Columns 1 through 8 -4.0000 -3.0000 -2.0000 -1.2163 -1.0000 -0.9611 -0.8543 -0.6057 Columns 9 through 16 -0.5550 -0.5402 -0.4805 -0.3887 -0.3466 -0.3261 -0.2518 0.2518 Columns 17 through 24 0.3261 0.3466 0.3887 0.4805 0.5402 0.5550 0.6057 0.8543 Columns 25 through 30 0.9611 1.0000 1.2163 2.0000 3.0000 4.0000
P = ExA_3(0) % a = 0
P = '2*x1^4+3*x2^4+5*x3^4'
Calculate the Z-eigenvalues of the symmetric tensor defined by P. The result is a row vector.
lambda = zeig(P)
lambda = Columns 1 through 8 0.9677 0.9677 0.9677 0.9677 0.9677 0.9677 0.9677 0.9677 Columns 9 through 16 1.2000 1.2000 1.2000 1.2000 1.4286 1.4286 1.4286 1.4286 Columns 17 through 24 1.8750 1.8750 1.8750 1.8750 2.0000 2.0000 3.0000 3.0000 Columns 25 through 26 5.0000 5.0000
Simply replace a by 0.25, 0.5, 1 or 3, we can calculate the Z-eigenvalues of the corresponding tensors defined by P in Problem 3 of Appendix.
P = ExA_4(-1) % a = -1
P = '3*x1^4+x2^4+-6*x1^2*x2^2'
Calculate the Z-eigenvalues of the symmetric tensor defined by P. The result is a row vector.
lambda = zeig(P)
lambda = -0.6000 -0.6000 -0.6000 -0.6000 1.0000 1.0000 3.0000 3.0000
Simply replace a by 0, 0.25, 0.5, 2 or 3, we can calculate the Z-eigenvalues of the corresponding tensors defined by P in Problem 4 of Appendix.
A = ExA_5();
Calculate the Z-eigenpairs of the symmetric tensor A.
[lambda,V] = zeig(A,'symmetric')
lambda = Columns 1 through 8 -1.0954 -1.0954 -0.5629 -0.5629 -0.0451 -0.0451 0.1735 0.1735 Columns 9 through 16 0.2433 0.2433 0.2628 0.2628 0.2682 0.2682 0.3633 0.3633 Columns 17 through 22 0.5105 0.5105 0.8169 0.8169 0.8893 0.8893 V = Columns 1 through 8 0.5915 -0.5915 -0.1762 0.1762 -0.7797 0.7797 -0.3357 0.3357 -0.7467 0.7467 0.1796 -0.1796 -0.6135 0.6135 -0.9073 0.9073 -0.3043 0.3043 -0.9678 0.9678 -0.1250 0.1250 -0.2531 0.2531 Columns 9 through 16 -0.9895 0.9895 0.1318 -0.1318 -0.6099 0.6099 -0.2676 0.2676 -0.0947 0.0947 -0.4425 0.4425 -0.4362 0.4362 -0.6447 0.6447 0.1088 -0.1088 -0.8870 0.8870 -0.6616 0.6616 -0.7160 0.7160 Columns 17 through 22 0.3598 -0.3598 -0.8412 0.8412 -0.6672 0.6672 -0.7780 0.7780 0.2635 -0.2635 -0.2471 0.2471 0.5150 -0.5150 -0.4722 0.4722 0.7027 -0.7027
A = ExA_6();
Calculate the Z-eigenvalues of the symmetric tensor A.
lambda = zeig(A,'symmetric')
lambda = Columns 1 through 8 -16.2345 -15.4552 -15.4298 -10.9711 -8.7347 -8.6596 -8.5979 -8.1889 Columns 9 through 16 -7.2165 -6.0000 -5.5674 -5.5668 -5.5218 -5.4817 -5.1402 -4.3358 Columns 17 through 24 -4.2464 -4.0225 -3.9992 3.9992 4.0225 4.2464 4.3358 5.1402 Columns 25 through 32 5.4817 5.5218 5.5668 5.5674 6.0000 7.2165 8.1889 8.5979 Columns 33 through 38 8.6596 8.7347 10.9711 15.4298 15.4552 16.2345
P = ExA_7();
Calculate the Z-eigenpairs of the symmetric tensor defined by P.
[lambda,V] = zeig(P)
lambda = Columns 1 through 11 -7.2000 -7.2000 -7.2000 -7.2000 -7.2000 -7.2000 -7.2000 -7.2000 -7.2000 -7.2000 -7.2000 Columns 12 through 22 -7.2000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 Columns 23 through 33 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 Columns 34 through 44 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -6.0000 -4.5000 -4.5000 Columns 45 through 55 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 56 through 66 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 67 through 77 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 78 through 88 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 89 through 99 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 100 through 110 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 111 through 121 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 122 through 132 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 133 through 143 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 144 through 154 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 155 through 165 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 166 through 176 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 177 through 187 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 188 through 198 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 199 through 209 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 210 through 220 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 221 through 231 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 232 through 242 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 Columns 243 through 253 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.5000 -4.0000 -4.0000 -4.0000 Columns 254 through 264 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 Columns 265 through 275 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 -4.0000 0 0 0 0 0 Columns 276 through 286 0 0 0 0 0 0 0 0 0 0 0 Columns 287 through 297 0 0 0 0 0 0 0 0 0 0 0 Columns 298 through 308 0 0 0 0 0 0 0 0 0 0 0 Columns 309 through 319 0 0 0 0 0 0 0 0 0 0 0 Columns 320 through 330 0 0 0 0 0 0 0 0 0 0 0 Columns 331 through 341 0 0 0 0 0 0 0 0 0 0 0 Columns 342 through 352 0 0 0 0 0 0 0 0 0 0 0 Columns 353 through 363 0 0 0 0 0 0 0 0 0 0 0 Columns 364 through 374 0 0 0 0 0 0 0 0 0 0 0 Columns 375 through 385 0 0 0 0 0 0 0 0 0 0 0 Columns 386 through 396 0 0 0 0 0 0 0 0 0 0 0 Columns 397 through 407 0 0 0 0 0 0 0 0 0 0 0 Columns 408 through 418 0 0 0 0 0 0 0 0 0 0 0 Columns 419 through 429 0 0 0 0 0 0 0 0 0 0 0 Columns 430 through 440 0 0 0 0 0 0 0 0 0 0 0 Columns 441 through 451 0 0 0 0 0 0 0 0 0 0 0 Columns 452 through 462 0 0 0 0 0 0 0 0 0 0 0 Columns 463 through 473 0 0 0 0 0 0 0 0 0 0 0 Columns 474 through 484 0 0 0 0 0 0 0 0 0 0 0 Columns 485 through 495 0 0 0 0 0 0 0 0 0 0 0 Columns 496 through 506 0 0 0 0 0 0 0 0 0 0 0 Columns 507 through 517 0 0 0 0 0 0 0 0 0 0 0 Columns 518 through 528 0 0 0 0 0 0 0 0 0 0 0 Columns 529 through 539 0 0 0 0 0 0 0 0 0 0 0 Columns 540 through 550 0 0 0 0 0 0 0 0 0 0 0 Columns 551 through 561 0 0 0 0 0 0 0 0 0 0 0 Columns 562 through 572 0 0 0 0 0 0 0 0 0 0 0 Columns 573 through 583 0 0 0 0 0 0 0 0 0 0 0 Columns 584 through 594 0 0 0 0 0 0 0 0 0 0 0 Columns 595 through 605 0 0 0 0 0 0 0 0 0 0 0 Columns 606 through 616 0 0 0 0 0 0 0 0 0 0 0 Columns 617 through 627 0 0 0 0 0 0 0 0 0 0 0 Columns 628 through 638 0 0 0 0 0 0 0 0 0 0 0 Columns 639 through 649 0 0 0 0 0 0 0 0 0 0 0 Columns 650 through 660 0 0 0 0 0 0 0 0 0 0 0 Columns 661 through 671 0 0 0 0 0 0 0 0 0 0 0 Columns 672 through 682 0 0 0 0 0 0 0 0 0 0 0 Columns 683 through 693 0 0 0 0 0 0 0 0 0 0 0 Columns 694 through 704 0 0 0 0 0 0 0 0 0 0 0 Columns 705 through 715 0 0 0 0 0 0 0 0 0 0 0 Columns 716 through 722 0 0 0 0 0 0 0 V = Columns 1 through 11 0.9129 -0.9129 -0.1826 0.1826 -0.1826 0.1826 0.1826 -0.1826 -0.1826 0.1826 0.1826 -0.1826 0.1826 -0.1826 0.1826 0.9129 -0.9129 0.1826 -0.1826 -0.1826 0.1826 0.1826 -0.1826 0.1826 -0.1826 0.1826 -0.1826 0.1826 0.1826 -0.1826 -0.1826 0.1826 -0.9129 -0.1826 0.1826 -0.1826 0.1826 -0.1826 0.1826 0.1826 -0.1826 0.9129 -0.9129 0.1826 -0.1826 0.1826 0.9129 -0.9129 -0.1826 0.1826 0.1826 -0.1826 -0.1826 0.1826 0.1826 -0.1826 0.1826 -0.1826 0.1826 -0.1826 0.1826 -0.9129 0.9129 -0.1826 0.1826 0.1826 Columns 12 through 22 -0.1826 0 0 0 0 0 0 0 0 0 0 -0.1826 0.7071 -0.7071 0 0 0.7071 -0.7071 0 0 0 0 0.9129 0 0 0 0 0 0 -0.7071 0.7071 0 0 -0.1826 -0.7071 0.7071 0.7071 -0.7071 0 0 0 0 0.7071 -0.7071 -0.1826 0 0 0 0 0 0 0.7071 -0.7071 -0.7071 0.7071 -0.1826 0 0 -0.7071 0.7071 -0.7071 0.7071 0 0 0 0 Columns 23 through 33 0 0 0 0 0.7071 -0.7071 0 0 0.7071 -0.7071 0.7071 0.7071 -0.7071 0 0 0 0 0 0 0 0 -0.7071 0 0 -0.7071 0.7071 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.7071 0.7071 0 0 0 0 0.7071 -0.7071 -0.7071 0.7071 0 0 0 0.7071 -0.7071 -0.7071 0.7071 -0.7071 0.7071 0 0 0 Columns 34 through 44 -0.7071 0 0 0 0 0.7071 -0.7071 0.7071 -0.7071 -0.5562 0.5562 0.7071 0 0 0.7071 -0.7071 0 0 0 0 0.4122 -0.4122 0 -0.7071 0.7071 -0.7071 0.7071 0 0 -0.7071 0.7071 -0.5562 0.5562 0 0.7071 -0.7071 0 0 -0.7071 0.7071 0 0 0.1439 -0.1439 0 0 0 0 0 0 0 0 0 0.4122 -0.4122 0 0 0 0 0 0 0 0 0 0.1439 -0.1439 Columns 45 through 55 0.4263 -0.4263 0.2194 -0.2194 0.1028 -0.1028 -0.2797 0.2797 0.3425 -0.3425 0.0551 0.1240 -0.1240 -0.5722 0.5722 -0.5434 0.5434 0.5773 -0.5773 0.2312 -0.2312 0.4701 -0.5503 0.5503 0.2194 -0.2194 -0.5434 0.5434 -0.2797 0.2797 -0.5738 0.5738 -0.5253 0.4263 -0.4263 0.3528 -0.3528 0.4406 -0.4406 0.5773 -0.5773 -0.5738 0.5738 0.0551 -0.5503 0.5503 0.3528 -0.3528 0.4406 -0.4406 -0.2975 0.2975 0.2312 -0.2312 -0.5253 0.1240 -0.1240 -0.5722 0.5722 0.1028 -0.1028 -0.2975 0.2975 0.3425 -0.3425 0.4701 Columns 56 through 66 -0.0551 -0.4267 0.4267 -0.1785 0.1785 0.3091 -0.3091 0.5774 -0.5774 0.3745 -0.3745 -0.4701 0.5502 -0.5502 0.5648 -0.5648 0.2677 -0.2677 0.5774 -0.5774 -0.5678 0.5678 0.5253 -0.1235 0.1235 -0.1785 0.1785 -0.5769 0.5769 -0.2887 0.2887 0.1933 -0.1933 -0.0551 -0.1235 0.1235 -0.3862 0.3862 -0.5769 0.5769 -0.2887 0.2887 -0.5678 0.5678 0.5253 0.5502 -0.5502 0.5648 -0.5648 0.3091 -0.3091 -0.2887 0.2887 0.3745 -0.3745 -0.4701 -0.4267 0.4267 -0.3862 0.3862 0.2677 -0.2677 -0.2887 0.2887 0.1933 -0.1933 Columns 67 through 77 0.5670 -0.5670 0.2887 -0.2887 -0.5772 0.5772 0.5766 -0.5766 0.5774 -0.5774 0.5774 0.5670 -0.5670 0.2887 -0.2887 0.2765 -0.2765 -0.3140 0.3140 -0.2887 0.2887 0.5774 -0.3778 0.3778 0.2887 -0.2887 -0.5772 0.5772 -0.3140 0.3140 -0.2887 0.2887 -0.2887 -0.3778 0.3778 -0.5774 0.5774 0.3006 -0.3006 0.5766 -0.5766 0.5774 -0.5774 -0.2887 -0.1892 0.1892 0.2887 -0.2887 0.2765 -0.2765 -0.2625 0.2625 -0.2887 0.2887 -0.2887 -0.1892 0.1892 -0.5774 0.5774 0.3006 -0.3006 -0.2625 0.2625 -0.2887 0.2887 -0.2887 Columns 78 through 88 -0.5774 0.5470 -0.5470 -0.4742 0.4742 -0.2858 0.2858 0.5114 -0.5114 0.1878 -0.1878 -0.5774 -0.1136 0.1136 0.5224 -0.5224 0.5773 -0.5773 -0.4878 0.4878 0.3789 -0.3789 0.2887 -0.4335 0.4335 -0.4742 0.4742 -0.2916 0.2916 -0.0236 0.0236 -0.5667 0.5667 0.2887 0.5470 -0.5470 0.5224 -0.5224 -0.2858 0.2858 -0.0236 0.0236 0.3789 -0.3789 0.2887 -0.4335 0.4335 -0.0482 0.0482 0.5773 -0.5773 0.5114 -0.5114 0.1878 -0.1878 0.2887 -0.1136 0.1136 -0.0482 0.0482 -0.2916 0.2916 -0.4878 0.4878 -0.5667 0.5667 Columns 89 through 99 0.5314 -0.5314 0.5774 -0.5774 0.5774 -0.5774 -0.2887 0.2887 -0.5101 0.5101 -0.3933 -0.4612 0.4612 -0.2887 0.2887 -0.2887 0.2887 0.5774 -0.5774 0.4893 -0.4893 0.5627 -0.0702 0.0702 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 0.0208 -0.0208 -0.3933 -0.0702 0.0702 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 0.0208 -0.0208 -0.1694 0.5314 -0.5314 0.5774 -0.5774 0.5774 -0.5774 0.5774 -0.5774 0.4893 -0.4893 -0.1694 -0.4612 0.4612 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.5101 0.5101 0.5627 Columns 100 through 110 0.3933 0.2887 -0.2887 -0.5623 0.5623 -0.5595 0.5595 -0.5774 0.5774 0.5774 -0.5774 -0.5627 -0.5774 0.5774 0.3946 -0.3946 0.4030 -0.4030 0.2887 -0.2887 -0.2887 0.2887 0.3933 0.2887 -0.2887 0.1677 -0.1677 -0.5595 0.5595 -0.5774 0.5774 -0.2887 0.2887 0.1694 0.2887 -0.2887 0.3946 -0.3946 0.4030 -0.4030 0.2887 -0.2887 0.5774 -0.5774 0.1694 0.2887 -0.2887 0.1677 -0.1677 0.1565 -0.1565 0.2887 -0.2887 -0.2887 0.2887 -0.5627 -0.5774 0.5774 -0.5623 0.5623 0.1565 -0.1565 0.2887 -0.2887 -0.2887 0.2887 Columns 111 through 121 0.5530 -0.5530 0.5079 -0.5079 0.0796 -0.0796 0.5068 -0.5068 0.4720 -0.4720 -0.1699 -0.4201 0.4201 0.5079 -0.5079 -0.5350 0.5350 0.5068 -0.5068 0.4720 -0.4720 0.5628 -0.4201 0.4201 -0.4917 0.4917 -0.5350 0.5350 -0.0140 0.0140 0.0519 -0.0519 -0.3929 -0.1329 0.1329 -0.0162 0.0162 0.4555 -0.4555 -0.4929 0.4929 0.0519 -0.0519 -0.1699 -0.1329 0.1329 -0.4917 0.4917 0.0796 -0.0796 -0.0140 0.0140 -0.5239 0.5239 0.5628 0.5530 -0.5530 -0.0162 0.0162 0.4555 -0.4555 -0.4929 0.4929 -0.5239 0.5239 -0.3929 Columns 122 through 132 0.1699 0.4653 -0.4653 -0.4675 0.4675 -0.2887 0.2887 0.5476 -0.5476 0.2887 -0.2887 -0.5628 -0.5287 0.5287 -0.0596 0.0596 0.5774 -0.5774 -0.1154 0.1154 0.2887 -0.2887 0.3929 -0.5287 0.5287 -0.4675 0.4675 -0.2887 0.2887 -0.4322 0.4322 -0.5774 0.5774 0.1699 0.4653 -0.4653 0.5271 -0.5271 0.5774 -0.5774 0.5476 -0.5476 0.2887 -0.2887 -0.5628 0.0634 -0.0634 0.5271 -0.5271 -0.2887 0.2887 -0.1154 0.1154 0.2887 -0.2887 0.3929 0.0634 -0.0634 -0.0596 0.0596 -0.2887 0.2887 -0.4322 0.4322 -0.5774 0.5774 Columns 133 through 143 0.2887 -0.2887 -0.5597 0.5597 0.5635 -0.5635 -0.2662 0.2662 0.1393 -0.1393 0.5773 0.2887 -0.2887 0.4025 -0.4025 -0.3906 0.3906 0.5768 -0.5768 -0.5549 0.5549 -0.2951 -0.5774 0.5774 0.4025 -0.4025 -0.1729 0.1729 -0.3106 0.3106 -0.5549 0.5549 -0.2822 0.2887 -0.2887 0.1573 -0.1573 0.5635 -0.5635 -0.3106 0.3106 0.4156 -0.4156 -0.2951 0.2887 -0.2887 0.1573 -0.1573 -0.3906 0.3906 0.5768 -0.5768 0.4156 -0.4156 0.5773 -0.5774 0.5774 -0.5597 0.5597 -0.1729 0.1729 -0.2662 0.2662 0.1393 -0.1393 -0.2822 Columns 144 through 154 -0.5773 0.5131 -0.5131 0.5638 -0.5638 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2951 0.5131 -0.5131 -0.1743 0.1743 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2822 -0.0274 0.0274 0.5638 -0.5638 -0.5774 0.5774 -0.5774 0.5774 -0.5774 0.5774 0.2951 -0.4857 0.4857 -0.3895 0.3895 -0.5774 0.5774 -0.5774 0.5774 -0.5774 0.5774 -0.5773 -0.4857 0.4857 -0.3895 0.3895 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2822 -0.0274 0.0274 -0.1743 0.1743 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 Columns 155 through 165 -0.2887 0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 -0.2887 0.5774 -0.5774 0.2887 -0.2887 0.2887 -0.2887 -0.5774 0.5774 -0.5774 0.5774 -0.2887 -0.2887 0.2887 -0.5774 0.5774 -0.5774 0.5774 -0.5774 0.5774 -0.5774 0.5774 -0.2887 -0.2887 0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.5774 0.5774 -0.5774 -0.5774 0.5774 -0.5774 0.5774 0.2887 -0.2887 0.2887 -0.2887 0.5774 -0.2887 0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 0.2887 -0.2887 -0.2887 Columns 166 through 176 0.2887 0.1364 -0.1364 0.2490 -0.2490 0.2887 -0.2887 0.2887 -0.2887 -0.1229 0.1229 0.2887 0.4176 -0.4176 0.2490 -0.2490 0.2887 -0.2887 0.2887 -0.2887 0.5500 -0.5500 0.2887 0.1364 -0.1364 -0.5756 0.5756 0.2887 -0.2887 0.2887 -0.2887 -0.4271 0.4271 -0.5774 -0.5541 0.5541 -0.5756 0.5756 0.2887 -0.2887 0.2887 -0.2887 -0.4271 0.4271 -0.5774 0.4176 -0.4176 0.3266 -0.3266 -0.5774 0.5774 -0.5774 0.5774 -0.1229 0.1229 0.2887 -0.5541 0.5541 0.3266 -0.3266 -0.5774 0.5774 -0.5774 0.5774 0.5500 -0.5500 Columns 177 through 187 0.2420 -0.2420 0.3899 -0.3899 0.2887 -0.2887 0.3569 -0.3569 -0.0608 0.0608 -0.5774 0.3329 -0.3329 0.1738 -0.1738 -0.5774 0.5774 -0.5715 0.5715 -0.0608 0.0608 0.2887 0.3329 -0.3329 0.3899 -0.3899 0.2887 -0.2887 0.3569 -0.3569 -0.4668 0.4668 0.2887 0.2420 -0.2420 0.1738 -0.1738 0.2887 -0.2887 0.2145 -0.2145 0.5276 -0.5276 0.2887 -0.5750 0.5750 -0.5637 0.5637 0.2887 -0.2887 0.2145 -0.2145 -0.4668 0.4668 0.2887 -0.5750 0.5750 -0.5637 0.5637 -0.5774 0.5774 -0.5715 0.5715 0.5276 -0.5276 -0.5774 Columns 188 through 198 0.5774 -0.5774 0.5774 0.4978 -0.4978 0.5592 -0.5592 -0.4270 0.4270 0.2545 -0.2545 -0.2887 0.2887 -0.2887 0.4978 -0.4978 -0.1553 0.1553 0.5500 -0.5500 0.3216 -0.3216 -0.2887 -0.5774 0.5774 0.0043 -0.0043 -0.4039 0.4039 -0.1230 0.1230 0.3216 -0.3216 -0.2887 0.2887 -0.2887 0.0043 -0.0043 -0.1553 0.1553 0.5500 -0.5500 -0.5760 0.5760 -0.2887 0.2887 -0.2887 -0.5022 0.5022 -0.4039 0.4039 -0.1230 0.1230 0.2545 -0.2545 0.5774 0.2887 -0.2887 -0.5022 0.5022 0.5592 -0.5592 -0.4270 0.4270 -0.5760 0.5760 Columns 199 through 209 -0.2910 0.2910 -0.2891 0.2891 -0.2887 0.2887 -0.3142 0.3142 0.3292 -0.3292 -0.4078 0.5773 -0.5773 0.5774 -0.5774 -0.2887 0.2887 -0.3142 0.3142 0.2462 -0.2462 0.5578 -0.2864 0.2864 -0.2882 0.2882 -0.2887 0.2887 -0.2624 0.2624 0.2462 -0.2462 -0.4078 0.5773 -0.5773 0.5774 -0.5774 0.5774 -0.5774 0.5766 -0.5766 -0.5754 0.5754 0.5578 -0.2910 0.2910 -0.2891 0.2891 0.5774 -0.5774 0.5766 -0.5766 0.3292 -0.3292 -0.1500 -0.2864 0.2864 -0.2882 0.2882 -0.2887 0.2887 -0.2624 0.2624 -0.5754 0.5754 -0.1500 Columns 210 through 220 0.4078 0.5761 -0.5761 0.5444 -0.5444 0.2045 -0.2045 0.4853 -0.4853 0.5774 -0.5774 -0.5578 -0.3207 0.3207 -0.1058 0.1058 -0.5698 0.5698 -0.5135 0.5135 0.5774 -0.5774 0.4078 -0.2554 0.2554 -0.1058 0.1058 -0.5698 0.5698 -0.5135 0.5135 -0.2887 0.2887 -0.5578 -0.2554 0.2554 -0.4386 0.4386 0.3653 -0.3653 0.4853 -0.4853 -0.2887 0.2887 0.1500 -0.3207 0.3207 -0.4386 0.4386 0.2045 -0.2045 0.0282 -0.0282 -0.2887 0.2887 0.1500 0.5761 -0.5761 0.5444 -0.5444 0.3653 -0.3653 0.0282 -0.0282 -0.2887 0.2887 Columns 221 through 231 0.5349 -0.5349 -0.4794 0.4794 0.1069 -0.1069 0.2887 -0.2887 -0.5774 0.5774 -0.2483 -0.0792 0.0792 -0.4794 0.4794 0.4379 -0.4379 0.2887 -0.2887 0.2887 -0.2887 -0.2483 0.5349 -0.5349 -0.0389 0.0389 -0.5448 0.5448 0.2887 -0.2887 0.2887 -0.2887 -0.3273 -0.4556 0.4556 0.5183 -0.5183 0.4379 -0.4379 -0.5774 0.5774 0.2887 -0.2887 0.5755 -0.0792 0.0792 0.5183 -0.5183 -0.5448 0.5448 0.2887 -0.2887 0.2887 -0.2887 -0.3273 -0.4556 0.4556 -0.0389 0.0389 0.1069 -0.1069 -0.5774 0.5774 -0.5774 0.5774 0.5755 Columns 232 through 242 0.2483 0.5465 -0.5465 -0.2825 0.2825 0.4702 -0.4702 0.2803 -0.2803 0.0128 -0.0128 0.2483 -0.1120 0.1120 0.5773 -0.5773 0.0550 -0.0550 0.2970 -0.2970 -0.5063 0.5063 0.3273 -0.4345 0.4345 -0.2825 0.2825 0.0550 -0.0550 -0.5773 0.5773 0.4935 -0.4935 -0.5755 0.5465 -0.5465 0.5773 -0.5773 -0.5252 0.5252 0.2970 -0.2970 -0.5063 0.5063 0.3273 -0.1120 0.1120 -0.2948 0.2948 0.4702 -0.4702 0.2803 -0.2803 0.0128 -0.0128 -0.5755 -0.4345 0.4345 -0.2948 0.2948 -0.5252 0.5252 -0.5773 0.5773 0.4935 -0.4935 Columns 243 through 253 0.3526 -0.3526 -0.1874 0.1874 0.4689 -0.4689 0.2780 -0.2780 0.4082 -0.4082 -0.4082 0.3526 -0.3526 -0.3793 0.3793 0.0573 -0.0573 -0.5772 0.5772 0.4082 -0.4082 0.4082 -0.5722 0.5722 0.5666 -0.5666 -0.5262 0.5262 0.2993 -0.2993 -0.4082 0.4082 -0.4082 0.2196 -0.2196 0.5666 -0.5666 -0.5262 0.5262 0.2780 -0.2780 0.4082 -0.4082 0.4082 0.2196 -0.2196 -0.1874 0.1874 0.0573 -0.0573 0.2993 -0.2993 -0.4082 0.4082 0.4082 -0.5722 0.5722 -0.3793 0.3793 0.4689 -0.4689 -0.5772 0.5772 -0.4082 0.4082 -0.4082 Columns 254 through 264 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 0.4082 -0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 265 through 275 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4073 -0.4073 0.4075 -0.4075 0.4084 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4073 -0.4073 0.4077 -0.4077 0.4082 -0.4082 0.4082 0.4082 -0.4082 -0.4082 0.4082 0.4089 -0.4089 0.4077 -0.4077 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4089 -0.4089 0.4075 -0.4075 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4086 -0.4086 0.4095 -0.4095 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4086 -0.4086 0.4095 -0.4095 0.4084 Columns 276 through 286 -0.4084 0.4084 -0.4084 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4084 -0.4084 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4084 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 287 through 297 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 Columns 298 through 308 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 309 through 319 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 Columns 320 through 330 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 Columns 331 through 341 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 342 through 352 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 Columns 353 through 363 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 364 through 374 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 375 through 385 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 386 through 396 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 Columns 397 through 407 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 408 through 418 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 Columns 419 through 429 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 430 through 440 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 Columns 441 through 451 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 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-0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 474 through 484 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 Columns 485 through 495 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 Columns 496 through 506 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 Columns 507 through 517 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 518 through 528 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 Columns 529 through 539 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 Columns 540 through 550 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 551 through 561 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4082 Columns 562 through 572 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 573 through 583 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 584 through 594 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 595 through 605 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 Columns 606 through 616 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 Columns 617 through 627 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 Columns 628 through 638 -0.4083 0.4081 -0.4081 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4081 -0.4081 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 Columns 639 through 649 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 Columns 650 through 660 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 661 through 671 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 -0.4083 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 Columns 672 through 682 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 683 through 693 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 Columns 694 through 704 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 Columns 705 through 715 0.4083 -0.4083 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4083 -0.4083 0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4083 -0.4083 0.4082 -0.4082 0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4083 -0.4083 0.4082 Columns 716 through 722 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4080 -0.4080 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4085 -0.4085 -0.4083 0.4082 -0.4082 0.4084 -0.4084 0.4082 -0.4082 -0.4082 0.4082 -0.4082 0.4082 -0.4082 0.4085 -0.4085 -0.4082 0.4082 -0.4082 0.4084 -0.4084 0.4080 -0.4080
P = ExA_8()
P = '(x1+x2+x3+x4)^4+(x2+x3+x4+x5)^4'
Calculate the Z-eigenpairs of the symmetric tensor defined by P.
[lambda,V] = zeig(P);
lambda = Columns 1 through 11 0 0 0 0 0 0 0 0 0 0 0 Columns 12 through 22 0 0 0 0 0 0 0 0 0 0 0 Columns 23 through 33 0 0 0 0 0 0 0 0 0 0 0 Columns 34 through 44 0 0 0 0 0 0 0 0 0 0 0 Columns 45 through 55 0 0 0 0 0 0 0 0 0 0 0 Columns 56 through 66 0 0 0 0 0 0 0 0 0 0 0 Columns 67 through 77 0 0 0 0 0 0 0 0 0 0 0 Columns 78 through 88 0 0 0 0 0 0 0 0 0 0 0 Columns 89 through 99 0 0 0 0 0 0 0 0 0 0 0 Columns 100 through 110 0 0 0 0 0 0 0 0 0 0 0 Columns 111 through 121 0 0 0 0 0 0 0 0 0 0 0 Columns 122 through 132 0 0 0 0 0 0 0 0 0 0 0 Columns 133 through 143 0 0 0 0 0 0 0 0 0 0 0 Columns 144 through 154 0 0 0 0 0 0 0 0 0 0 0 Columns 155 through 165 0 0 0 0 0 0 0 0 0 0 0 Columns 166 through 176 0 0 0 0 0 0 0 0 0 0 0 Columns 177 through 187 0 0 0 0 0 0 0 0 0 0 0 Columns 188 through 198 0 0 0 0 0 0 0 0 0 0 0 Columns 199 through 209 0 0 0 0 0 0 0 0 0 0 0 Columns 210 through 220 0 0 0 0 0 0 0 0 0 0 0 Columns 221 through 231 0 0 0 0 0 0 0 0 0 0 0 Columns 232 through 238 0 0 0 0.5000 0.5000 24.5000 24.5000 V = Columns 1 through 11 -0.3557 0.3557 -0.3852 0.3852 -0.3531 0.3531 0.3977 -0.3977 0.0082 -0.0082 -0.0860 0.1818 -0.1818 0.1153 -0.1153 0.0156 -0.0156 -0.5133 0.5133 0.7653 -0.7653 -0.6036 -0.5041 0.5041 -0.4366 0.4366 -0.4201 0.4201 0.5124 -0.5124 -0.1469 0.1469 -0.0929 0.6781 -0.6781 0.7066 -0.7066 0.7576 -0.7576 -0.3968 0.3968 -0.6266 0.6266 0.7825 -0.3557 0.3557 -0.3852 0.3852 -0.3531 0.3531 0.3977 -0.3977 0.0082 -0.0082 -0.0860 Columns 12 through 22 0.0860 -0.2422 0.2422 -0.1210 0.1210 -0.2181 0.2181 -0.2507 0.2507 -0.1973 0.1973 0.6036 -0.2054 0.2054 0.8423 -0.8423 -0.3193 0.3193 0.0786 -0.0786 0.8429 -0.8429 0.0929 -0.3846 0.3846 -0.3377 0.3377 -0.3052 0.3052 -0.5671 0.5671 -0.2820 0.2820 -0.7825 0.8322 -0.8322 -0.3836 0.3836 0.8425 -0.8425 0.7392 -0.7392 -0.3636 0.3636 0.0860 -0.2422 0.2422 -0.1210 0.1210 -0.2181 0.2181 -0.2507 0.2507 -0.1973 0.1973 Columns 23 through 33 -0.0700 0.0700 -0.3930 0.3930 -0.1732 0.1732 -0.2918 0.2918 -0.1499 0.1499 -0.2953 -0.3654 0.3654 0.5064 -0.5064 -0.5065 0.5065 0.8237 -0.8237 -0.3795 0.3795 0.0331 -0.3995 0.3995 -0.5194 0.5194 -0.1359 0.1359 -0.3360 0.3360 -0.3145 0.3145 -0.4975 0.8349 -0.8349 0.4060 -0.4060 0.8155 -0.8155 -0.1960 0.1960 0.8439 -0.8439 0.7596 -0.0700 0.0700 -0.3930 0.3930 -0.1732 0.1732 -0.2918 0.2918 -0.1499 0.1499 -0.2953 Columns 34 through 44 0.2953 -0.0492 0.0492 -0.2814 0.2814 -0.3681 0.3681 -0.3935 0.3935 -0.2565 0.2565 -0.0331 -0.6323 0.6323 0.8148 -0.8148 0.2826 -0.2826 0.4372 -0.4372 0.8193 -0.8193 0.4975 -0.0854 0.0854 -0.4001 0.4001 -0.5254 0.5254 -0.5209 0.5209 -0.1422 0.1422 -0.7596 0.7669 -0.7669 -0.1333 0.1333 0.6109 -0.6109 0.4773 -0.4773 -0.4206 0.4206 0.2953 -0.0492 0.0492 -0.2814 0.2814 -0.3681 0.3681 -0.3935 0.3935 -0.2565 0.2565 Columns 45 through 55 0.3921 -0.3921 0.0278 -0.0278 -0.1404 0.1404 -0.3657 0.3657 -0.3880 0.3880 -0.2119 -0.4953 0.4953 0.4384 -0.4384 0.8354 -0.8354 0.7198 -0.7198 0.4493 -0.4493 -0.0207 0.5216 -0.5216 0.3575 -0.3575 -0.4502 0.4502 -0.4525 0.4525 -0.5283 0.5283 -0.5480 -0.4184 0.4184 -0.8237 0.8237 -0.2450 0.2450 0.0985 -0.0985 0.4670 -0.4670 0.7806 0.3921 -0.3921 0.0278 -0.0278 -0.1403 0.1403 -0.3657 0.3657 -0.3880 0.3880 -0.2119 Columns 56 through 66 0.2119 -0.1235 0.1235 0.1106 -0.1106 -0.3142 0.3142 -0.3440 0.3440 -0.0357 0.0357 0.0207 -0.5819 0.5819 -0.7086 0.7086 0.7597 -0.7597 0.6747 -0.6747 0.8209 -0.8209 0.5480 -0.0844 0.0844 -0.0848 0.0848 -0.4738 0.4738 -0.5213 0.5213 -0.3055 0.3055 -0.7806 0.7898 -0.7898 0.6828 -0.6828 0.0283 -0.0283 0.1906 -0.1906 -0.4798 0.4798 0.2119 -0.1235 0.1235 0.1106 -0.1106 -0.3142 0.3142 -0.3440 0.3440 -0.0357 0.0357 Columns 67 through 77 -0.0889 0.0889 -0.2701 0.2701 0.0876 -0.0876 0.0458 -0.0458 -0.0876 0.0876 0.0738 0.8317 -0.8317 -0.2601 0.2601 -0.6777 0.6777 0.5450 -0.5450 0.7800 -0.7800 -0.8198 -0.2804 0.2804 -0.3031 0.3031 -0.1241 0.1241 0.2167 -0.2167 -0.0848 0.0848 0.2339 -0.4624 0.4624 0.8334 -0.8334 0.7141 -0.7141 -0.8074 0.8074 -0.6075 0.6075 0.5122 -0.0889 0.0889 -0.2701 0.2701 0.0876 -0.0876 0.0458 -0.0458 -0.0877 0.0877 0.0738 Columns 78 through 88 -0.0738 -0.3928 0.3928 -0.2954 0.2954 -0.0390 0.0390 -0.1312 0.1312 -0.2627 0.2627 0.8198 0.7017 -0.7017 0.7195 -0.7195 0.5334 -0.5334 -0.4269 0.4269 0.2201 -0.2201 -0.2339 -0.4295 0.4295 -0.5421 0.5421 0.2961 -0.2961 -0.2811 0.2811 -0.6161 0.6161 -0.5122 0.1206 -0.1206 0.1181 -0.1181 -0.7905 0.7905 0.8392 -0.8392 0.6587 -0.6587 -0.0738 -0.3928 0.3928 -0.2955 0.2955 -0.0390 0.0390 -0.1312 0.1312 -0.2628 0.2628 Columns 89 through 99 -0.3364 0.3364 0.0183 -0.0183 0.1282 -0.1282 -0.0409 0.0409 0.2597 -0.2597 -0.2722 0.8108 -0.8108 0.7624 -0.7624 -0.7379 0.7379 0.5714 -0.5714 -0.7945 0.7945 0.3731 -0.1941 0.1941 -0.1522 0.1522 -0.0391 0.0391 0.2492 -0.2492 0.4805 -0.4805 -0.6452 -0.2802 0.2802 -0.6284 0.6284 0.6489 -0.6489 -0.7797 0.7797 0.0543 -0.0543 0.5444 -0.3364 0.3364 0.0183 -0.0183 0.1282 -0.1282 -0.0409 0.0409 0.2597 -0.2597 -0.2722 Columns 100 through 110 0.2722 -0.0744 0.0744 -0.0737 0.0737 0.0998 -0.0998 0.2329 -0.2329 -0.3338 0.3338 -0.3731 -0.0925 0.0925 -0.2917 0.2917 0.5064 -0.5064 0.6604 -0.6604 0.7900 -0.7900 0.6452 -0.6117 0.6117 -0.4644 0.4644 0.2164 -0.2164 -0.6144 0.6144 -0.3846 0.3846 -0.5444 0.7786 -0.7786 0.8297 -0.8297 -0.8227 0.8227 -0.2790 0.2790 -0.0715 0.0715 0.2722 -0.0744 0.0744 -0.0737 0.0737 0.0998 -0.0998 0.2329 -0.2329 -0.3338 0.3338 Columns 111 through 121 -0.0265 0.0265 0.0294 -0.0294 0.1943 -0.1943 0.4865 -0.4865 0.0128 -0.0128 0.4941 -0.5371 0.5371 0.6622 -0.6622 -0.7066 0.7066 0.3526 -0.3526 0.6762 -0.6762 0.1251 -0.2432 0.2432 0.0546 -0.0546 -0.1273 0.1273 -0.2611 0.2611 0.0460 -0.0460 0.0805 0.8068 -0.8068 -0.7462 0.7462 0.6395 -0.6395 -0.5780 0.5780 -0.7350 0.7350 -0.6997 -0.0265 0.0265 0.0294 -0.0294 0.1943 -0.1943 0.4866 -0.4866 0.0128 -0.0128 0.4941 Columns 122 through 132 -0.4941 0.4410 -0.4410 -0.1686 0.1686 -0.1221 0.1221 0.3055 -0.3055 0.3803 -0.3803 -0.1251 -0.4977 0.4977 0.8424 -0.8424 0.8066 -0.8066 0.0293 -0.0293 -0.1622 0.1622 -0.0805 0.4536 -0.4536 -0.2803 0.2803 -0.1356 0.1356 0.4476 -0.4476 0.4656 -0.4656 0.6997 -0.3969 0.3969 -0.3935 0.3935 -0.5489 0.5489 -0.7824 0.7824 -0.6838 0.6838 -0.4941 0.4410 -0.4410 -0.1686 0.1686 -0.1221 0.1221 0.3055 -0.3055 0.3804 -0.3804 Columns 133 through 143 0.1588 -0.1588 0.2625 -0.2625 0.4302 -0.4302 0.0417 -0.0417 0.2446 -0.2446 -0.0513 -0.5565 0.5565 -0.7632 0.7632 -0.4639 0.4639 -0.7243 0.7243 0.1499 -0.1499 0.7014 -0.3307 0.3307 -0.0275 0.0275 0.4718 -0.4718 -0.0042 0.0042 0.4273 -0.4273 0.0566 0.7284 -0.7284 0.5282 -0.5282 -0.4381 0.4381 0.6869 -0.6869 -0.8218 0.8218 -0.7068 0.1588 -0.1588 0.2625 -0.2625 0.4302 -0.4302 0.0417 -0.0417 0.2446 -0.2446 -0.0513 Columns 144 through 154 0.0513 0.2668 -0.2668 0.5406 -0.5406 0.4426 -0.4426 0.2504 -0.2504 -0.3613 0.3613 -0.7014 0.2624 -0.2624 -0.6280 0.6280 -0.7387 0.7387 0.1593 -0.1593 0.7151 -0.7151 -0.0566 0.3049 -0.3049 0.1368 -0.1368 0.2444 -0.2444 0.4137 -0.4137 -0.4641 0.4641 0.7068 -0.8341 0.8341 -0.0493 0.0493 0.0517 -0.0517 -0.8234 0.8234 0.1103 -0.1103 0.0513 0.2668 -0.2668 0.5406 -0.5406 0.4426 -0.4426 0.2504 -0.2504 -0.3613 0.3613 Columns 155 through 165 0.4599 -0.4599 0.3605 -0.3605 0.3220 -0.3220 -0.0640 0.0640 0.4298 -0.4298 -0.0326 0.0161 -0.0161 0.2275 -0.2275 0.0956 -0.0956 -0.4801 0.4801 -0.5270 0.5270 -0.4388 0.2434 -0.2434 0.2137 -0.2137 0.3813 -0.3813 -0.2817 0.2817 0.4657 -0.4657 -0.3535 -0.7194 0.7194 -0.8017 0.8017 -0.7989 0.7989 0.8258 -0.8258 -0.3685 0.3685 0.8248 0.4599 -0.4599 0.3605 -0.3605 0.3220 -0.3220 -0.0640 0.0640 0.4298 -0.4298 -0.0325 Columns 166 through 176 0.0326 0.4583 -0.4583 0.3848 -0.3848 0.3660 -0.3660 0.3465 -0.3465 0.4471 -0.4471 0.4388 -0.7267 0.7267 -0.7795 0.7795 -0.7826 0.7826 -0.8027 0.8027 -0.4400 0.4400 0.3535 0.2230 -0.2230 0.2933 -0.2933 0.0801 -0.0801 0.3039 -0.3039 0.4474 -0.4474 -0.8248 0.0453 -0.0453 0.1014 -0.1014 0.3365 -0.3365 0.1523 -0.1523 -0.4544 0.4544 0.0325 0.4583 -0.4583 0.3848 -0.3848 0.3660 -0.3660 0.3465 -0.3465 0.4471 -0.4471 Columns 177 through 187 0.1087 -0.1087 0.4137 -0.4137 0.2978 -0.2978 0.3497 -0.3497 -0.0479 0.0479 0.4181 -0.7739 0.7739 -0.1913 0.1913 0.2970 -0.2970 -0.0755 0.0755 -0.7526 0.7526 -0.2115 0.0531 -0.0531 0.4348 -0.4348 0.2305 -0.2305 0.4596 -0.4596 0.1671 -0.1671 0.4372 0.6121 -0.6121 -0.6573 0.6573 -0.8254 0.8254 -0.7338 0.7338 0.6334 -0.6334 -0.6438 0.1087 -0.1087 0.4137 -0.4137 0.2978 -0.2978 0.3497 -0.3497 -0.0479 0.0479 0.4181 Columns 188 through 198 -0.4181 0.3153 -0.3153 -0.0612 0.0612 0.4157 -0.4157 0.2844 -0.2844 0.2251 -0.2251 0.2115 0.0760 -0.0760 0.8113 -0.8113 -0.4225 0.4225 -0.8286 0.8286 0.3487 -0.3487 -0.4372 0.4038 -0.4038 -0.2122 0.2122 0.4912 -0.4912 0.3144 -0.3144 0.2665 -0.2665 0.6438 -0.7952 0.7952 -0.5379 0.5379 -0.4844 0.4844 0.2299 -0.2299 -0.8403 0.8403 -0.4181 0.3153 -0.3153 -0.0611 0.0611 0.4157 -0.4157 0.2844 -0.2844 0.2251 -0.2251 Columns 199 through 209 0.4272 -0.4272 0.3196 -0.3196 0.1710 -0.1710 -0.3601 0.3601 0.2955 -0.2955 0.4189 -0.7144 0.7144 -0.0503 0.0503 0.3801 -0.3801 0.6642 -0.6642 0.2735 -0.2735 -0.3573 0.3478 -0.3478 0.4805 -0.4805 0.2925 -0.2925 -0.5078 0.5078 0.2581 -0.2581 0.4788 -0.0606 0.0606 -0.7498 0.7498 -0.8435 0.8435 0.2037 -0.2037 -0.8270 0.8270 -0.5405 0.4272 -0.4272 0.3196 -0.3196 0.1710 -0.1710 -0.3601 0.3601 0.2955 -0.2955 0.4189 Columns 210 through 220 -0.4189 0.3695 -0.3695 0.3639 -0.3639 0.4033 -0.4033 0.4190 -0.4190 0.3581 -0.3581 0.3573 -0.0406 0.0406 -0.7737 0.7737 -0.2105 0.2105 -0.3217 0.3217 -0.7912 0.7912 -0.4788 0.4148 -0.4148 0.0428 -0.0428 0.4566 -0.4566 0.4713 -0.4713 0.1075 -0.1075 0.5405 -0.7438 0.7438 0.3670 -0.3670 -0.6495 0.6495 -0.5686 0.5686 0.3255 -0.3255 -0.4189 0.3695 -0.3695 0.3639 -0.3639 0.4033 -0.4033 0.4190 -0.4190 0.3581 -0.3581 Columns 221 through 231 0.4170 -0.4170 0.3585 -0.3585 0.3479 -0.3479 0.3808 -0.3808 0.3330 -0.3330 0.2804 -0.3039 0.3039 -0.1029 0.1029 -0.1563 0.1563 -0.7238 0.7238 -0.0080 0.0080 -0.8040 0.4695 -0.4695 0.4637 -0.4637 0.5022 -0.5022 0.4239 -0.4239 0.4397 -0.4397 0.4339 -0.5826 0.5826 -0.7193 0.7193 -0.6938 0.6938 -0.0809 0.0809 -0.7647 0.7647 0.0897 0.4170 -0.4170 0.3585 -0.3585 0.3479 -0.3479 0.3808 -0.3808 0.3330 -0.3330 0.2804 Columns 232 through 238 -0.2804 0.3870 -0.3870 -0.7071 0.7071 -0.2673 0.2673 0.8040 -0.1537 0.1537 0 0 -0.5345 0.5345 -0.4339 0.4532 -0.4532 0 0 -0.5345 0.5345 -0.0897 -0.6866 0.6866 0 0 -0.5345 0.5345 -0.2804 0.3870 -0.3870 0.7071 -0.7071 -0.2673 0.2673
P = ExA_9()
P = '2*x1^3+3*x1*x2^2+3*x1*x3^2'
Calculate the Z-eigenpairs of the symmetric tensor defined by P.
[lambda,V] = zeig(P)
lambda = Columns 1 through 11 -2.0000 -2.0000 -2.0000 -2.0000 -2.0000 -2.0000 -2.0000 2.0000 2.0000 2.0000 2.0000 Columns 12 through 14 2.0000 2.0000 2.0000 V = Columns 1 through 11 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 1.0000 1.0000 1.0000 1.0000 0.0000 -0.0000 -0.0000 0.0000 -0.0000 0.0000 0.0000 -0.0000 0.0000 -0.0000 -0.0000 -0.0000 -0.0000 -0.0000 0.0000 -0.0000 0.0000 -0.0000 0.0000 0.0000 -0.0000 0.0000 Columns 12 through 14 1.0000 1.0000 1.0000 0.0000 0.0000 -0.0000 0.0000 0.0000 -0.0000
[A]=ExA_10(5);
Calculate the Z-eigenpairs of the tensor A.
[lambda,V] = zeig(A)
lambda = Columns 1 through 11 -8.8463 -8.8463 -3.9204 -3.9204 0 0 0 0 0 0 0 Columns 12 through 22 0 0 0 0 0 0 0 0 0 0 0 Columns 23 through 33 0 0 0 0 0 0 0 0 0 0 0 Columns 34 through 44 0 0 0 0 0 0 0 0 0 0 0 Columns 45 through 55 0 0 0 0 0 0 0 0 0 0 0 Columns 56 through 66 0 0 0 0 0 0 0 0 0 0 0 Columns 67 through 77 0 0 0 0 0 0 0 0 0 0 0 Columns 78 through 88 0 0 0 0 0 0 0 0 0 0 0 Columns 89 through 99 0 0 0 0 0 0 0 0 0 0 0 Columns 100 through 110 0 0 0 0 0 0 0 0 0 0 0 Columns 111 through 121 0 0 0 0 0 0 0 0 0 0 0 Columns 122 through 132 0 0 0 0 0 0 0 0 0 0 0 Columns 133 through 143 0 0 0 0 0 0 0 0 0 0 0 Columns 144 through 154 0 0 0 0 0 0 0 0 0 0 0 Columns 155 through 165 0 0 0 0 0 0 0 0 0 0 0 Columns 166 through 176 0 0 0 0 0 0 0 0 0 0 0 Columns 177 through 187 0 0 0 0 0 0 0 0 0 0 0 Columns 188 through 198 0 0 0 0 0 0 0 0 0 0 0 Columns 199 through 209 0 0 0 0 0 0 0 0 0 0 0 Columns 210 through 220 0 0 0 0 0 0 0 0 0 0 0 Columns 221 through 231 0 0 0 0 0 0 0 0 0 0 0 Columns 232 through 242 0 0 0 0 0 0 0 4.6408 4.6408 7.2595 7.2595 V = Columns 1 through 11 0.5809 -0.5809 0.1785 -0.1785 0.1342 -0.1342 -0.5605 0.5605 -0.5085 0.5085 -0.2668 0.3563 -0.3563 -0.4847 0.4847 -0.3929 0.3929 0.6646 -0.6646 0.2023 -0.2023 0.5557 -0.1959 0.1959 -0.7023 0.7023 -0.2948 0.2948 -0.4176 0.4176 -0.6378 0.6378 0.0941 -0.5680 0.5680 -0.2742 0.2742 0.5052 -0.5052 -0.1643 0.1643 0.1980 -0.1980 -0.4348 -0.4179 0.4179 0.4060 -0.4060 -0.6968 0.6968 0.2066 -0.2066 -0.5045 0.5045 0.6498 Columns 12 through 22 0.2668 -0.5231 0.5231 -0.4872 0.4872 -0.6925 0.6925 -0.5686 0.5686 -0.4027 0.4027 -0.5557 0.5969 -0.5969 0.6590 -0.6590 0.5245 -0.5245 0.6248 -0.6248 0.7471 -0.7471 -0.0941 -0.6015 0.6015 -0.2065 0.2065 -0.3412 0.3412 -0.2553 0.2553 -0.3800 0.3800 0.4348 0.0795 -0.0795 -0.3255 0.3255 -0.3421 0.3421 -0.3403 0.3403 -0.0768 0.0768 -0.6498 -0.0443 0.0443 0.4239 -0.4239 0.1095 -0.1095 0.3245 -0.3245 0.3597 -0.3597 Columns 23 through 33 -0.1639 0.1639 -0.3563 0.3563 -0.0080 0.0080 -0.6287 0.6287 -0.2705 0.2705 -0.6668 0.3506 -0.3506 0.7617 -0.7617 -0.1779 0.1779 0.6049 -0.6049 0.3419 -0.3419 0.5089 0.3176 -0.3176 -0.3786 0.3786 -0.4774 0.4774 -0.4238 0.4238 0.2809 -0.2809 -0.2198 -0.5494 0.5494 -0.0391 0.0391 0.5386 -0.5386 -0.2089 0.2089 -0.6041 0.6041 -0.4476 0.6689 -0.6689 0.3848 -0.3848 -0.6710 0.6710 0.1245 -0.1245 0.6050 -0.6050 0.2183 Columns 34 through 44 0.6668 -0.6046 0.6046 -0.4128 0.4128 -0.4238 0.4238 -0.5128 0.5128 -0.2834 0.2834 -0.5089 0.1391 -0.1391 0.7323 -0.7323 0.3366 -0.3366 0.6940 -0.6940 0.6787 -0.6787 0.2198 -0.5771 0.5771 -0.3063 0.3063 0.1989 -0.1989 -0.4453 0.4453 -0.6082 0.6082 0.4476 0.0565 -0.0565 -0.1631 0.1631 -0.6526 0.6526 -0.0963 0.0963 0.2885 -0.2885 -0.2183 -0.5282 0.5282 0.4158 -0.4158 0.4916 -0.4916 0.2186 -0.2186 0.0777 -0.0777 Columns 45 through 55 -0.4951 0.4951 -0.7318 0.7318 -0.7725 0.7725 -0.2108 0.2108 -0.5935 0.5935 -0.2677 0.6939 -0.6939 0.3719 -0.3719 0.3336 -0.3336 0.7309 -0.7309 0.0464 -0.0464 0.5600 -0.3122 0.3122 -0.4951 0.4951 -0.4043 0.4043 -0.1413 0.1413 0.2037 -0.2037 0.0888 -0.2243 0.2243 -0.1854 0.1854 -0.3138 0.3138 -0.1594 0.1594 -0.7617 0.7617 -0.4307 0.3546 -0.3546 -0.2159 0.2159 -0.1734 0.1734 0.6132 -0.6132 0.1543 -0.1543 0.6491 Columns 56 through 66 0.2677 -0.1307 0.1307 -0.4170 0.4170 -0.2295 0.2295 -0.1867 0.1867 -0.3550 0.3550 -0.5600 0.7825 -0.7825 0.7026 -0.7026 0.7469 -0.7469 0.7102 -0.7102 0.2518 -0.2518 -0.0888 -0.3925 0.3925 -0.5503 0.5503 -0.5240 0.5240 -0.0905 0.0905 0.2960 -0.2960 0.4307 0.1753 -0.1753 0.1017 -0.1017 0.2345 -0.2345 -0.1891 0.1891 -0.6814 0.6814 -0.6491 0.4312 -0.4312 0.1389 -0.1389 0.2446 -0.2446 0.6456 -0.6456 0.5086 -0.5086 Columns 67 through 77 -0.7829 0.7829 0.0569 -0.0569 -0.1234 0.1234 0.2014 -0.2014 0.3559 -0.3559 -0.7264 0.0084 -0.0084 0.7491 -0.7491 0.3365 -0.3365 0.6487 -0.6487 -0.1511 0.1511 0.0061 -0.2357 0.2357 -0.3523 0.3523 -0.6718 0.6718 -0.0051 0.0051 -0.3496 0.3496 0.0244 -0.4509 0.4509 0.3062 -0.3062 0.5586 -0.5586 0.0778 -0.0778 0.7232 -0.7232 -0.6808 -0.3579 0.3579 0.4667 -0.4667 -0.3290 0.3290 0.7297 -0.7297 -0.4531 0.4531 -0.0908 Columns 78 through 88 0.7264 -0.5369 0.5369 -0.1174 0.1174 -0.3690 0.3690 0.2172 -0.2172 -0.7494 0.7494 -0.0061 0.3792 -0.3792 0.3188 -0.3188 0.0366 -0.0366 0.1079 -0.1079 0.1767 -0.1767 -0.0244 0.0805 -0.0805 -0.6692 0.6692 0.3895 -0.3895 0.5412 -0.5412 -0.0636 0.0636 0.6808 -0.6335 0.6335 0.5641 -0.5641 -0.7589 0.7589 -0.4076 0.4076 -0.6349 0.6349 0.0908 0.4002 -0.4002 -0.3444 0.3444 0.3672 -0.3672 0.6943 -0.6943 0.0017 -0.0017 Columns 89 through 99 0.4055 -0.4055 -0.0942 0.0942 -0.7151 0.7151 -0.3160 0.3160 -0.0942 0.0942 0.0493 0.3292 -0.3292 0.5793 -0.5793 -0.1023 0.1023 0.7585 -0.7585 0.7807 -0.7807 0.6800 0.3506 -0.3506 0.1246 -0.1246 -0.3148 0.3148 -0.4812 0.4812 -0.3746 0.3746 -0.5030 -0.0693 0.0693 -0.3165 0.3165 -0.2858 0.2858 0.1086 -0.1086 0.1891 -0.1891 0.4738 0.7743 -0.7743 0.7348 -0.7348 -0.5453 0.5453 0.2854 -0.2854 0.4533 -0.4533 0.2401 Columns 100 through 110 -0.0493 -0.3388 0.3388 -0.4013 0.4013 0.5244 -0.5244 -0.0064 0.0064 0.0793 -0.0793 -0.6800 0.7353 -0.7353 0.7188 -0.7188 0.4275 -0.4275 -0.1573 0.1573 -0.3005 0.3005 0.5030 -0.5294 0.5294 -0.2455 0.2455 -0.2003 0.2003 0.6108 -0.6108 -0.3792 0.3792 -0.4738 0.1441 -0.1441 -0.2163 0.2163 0.6164 -0.6164 -0.6394 0.6394 0.5315 -0.5315 -0.2401 0.2083 -0.2083 0.4640 -0.4640 0.3496 -0.3496 0.4397 -0.4397 -0.6907 0.6907 Columns 111 through 121 -0.6561 0.6561 0.1610 -0.1610 0.0425 -0.0425 -0.6365 0.6365 0.0963 -0.0963 0.7655 0.1211 -0.1211 0.4122 -0.4122 0.7524 -0.7524 0.0629 -0.0629 0.5976 -0.5976 -0.0772 0.1070 -0.1070 0.3203 -0.3203 -0.2178 0.2178 -0.5237 0.5237 -0.5411 0.5411 0.0717 -0.7260 0.7260 -0.2705 0.2705 0.1473 -0.1473 -0.0171 0.0171 0.5711 -0.5711 0.6239 0.1278 -0.1278 0.7927 -0.7927 0.6024 -0.6024 -0.5625 0.5625 0.1208 -0.1208 0.1167 Columns 122 through 132 -0.7655 0.3381 -0.3381 0.5209 -0.5209 -0.0775 0.0775 0.3595 -0.3595 0.3369 -0.3369 0.0772 0.5336 -0.5336 0.4547 -0.4547 -0.2933 0.2933 0.5664 -0.5664 0.5927 -0.5927 -0.0717 0.1275 -0.1275 -0.1624 0.1624 0.6086 -0.6086 -0.3146 0.3146 -0.3093 0.3093 -0.6239 0.0768 -0.0768 0.5677 -0.5677 -0.6782 0.6782 0.5683 -0.5683 0.5378 -0.5378 -0.1167 0.7608 -0.7608 0.4162 -0.4162 0.2787 -0.2787 0.3578 -0.3578 0.3877 -0.3877 Columns 133 through 143 0.7490 -0.7490 -0.6938 0.6938 0.6513 -0.6513 -0.0771 0.0771 0.6502 -0.6502 -0.1043 -0.1250 0.1250 0.0642 -0.0642 0.1801 -0.1801 0.7566 -0.7566 0.2937 -0.2937 0.0593 0.4371 -0.4371 -0.4759 0.4759 -0.1381 0.1381 -0.4608 0.4608 -0.0488 0.0488 0.5063 0.2223 -0.2223 -0.1205 0.1205 0.7049 -0.7049 0.3018 -0.3018 0.5883 -0.5883 -0.6508 0.4277 -0.4277 -0.5229 0.5229 0.1657 -0.1657 0.3438 -0.3438 0.3776 -0.3776 0.5529 Columns 144 through 154 0.1043 0.6413 -0.6413 -0.0698 0.0698 -0.3008 0.3008 -0.2385 0.2385 0.6397 -0.6397 -0.0593 0.2725 -0.2725 -0.4458 0.4458 0.7482 -0.7482 -0.2838 0.2838 0.2858 -0.2858 -0.5063 0.2134 -0.2134 -0.2874 0.2874 -0.5146 0.5146 0.5303 -0.5303 0.1921 -0.1921 0.6508 0.3005 -0.3005 0.3225 -0.3225 0.1601 -0.1601 -0.7400 0.7400 0.3198 -0.3198 -0.5529 0.6154 -0.6154 -0.7809 0.7809 0.2434 -0.2434 0.1836 -0.1836 0.6082 -0.6082 Columns 155 through 165 0.5572 -0.5572 0.6883 -0.6883 0.6805 -0.6805 0.2819 -0.2819 0.2445 -0.2445 -0.0885 0.4208 -0.4208 0.2408 -0.2408 -0.0323 0.0323 0.6582 -0.6582 -0.3693 0.3693 0.7279 -0.1214 0.1214 0.0173 -0.0173 -0.0994 0.0994 -0.2359 0.2359 0.6908 -0.6908 -0.1057 0.5618 -0.5618 0.5600 -0.5600 0.7249 -0.7249 0.3981 -0.3981 -0.4647 0.4647 -0.0875 0.4267 -0.4267 0.3929 -0.3929 -0.0202 0.0202 0.5227 -0.5227 0.3327 -0.3327 0.6660 Columns 166 through 176 0.0885 0.4298 -0.4298 -0.2812 0.2812 0.2416 -0.2416 0.6107 -0.6107 0.0346 -0.0346 -0.7279 0.5304 -0.5304 -0.4925 0.4925 0.6579 -0.6579 -0.1086 0.1086 0.6440 -0.6440 0.1057 -0.2422 0.2422 0.4633 -0.4633 -0.3388 0.3388 -0.1648 0.1648 0.0496 -0.0496 0.0875 0.5593 -0.5593 -0.6710 0.6710 0.4730 -0.4730 0.7455 -0.7455 -0.1305 0.1305 -0.6660 0.4031 -0.4031 -0.1161 0.1161 0.4127 -0.4127 -0.1797 0.1797 0.7514 -0.7514 Columns 177 through 187 -0.1856 0.1856 0.6718 -0.6718 0.6746 -0.6746 0.6960 -0.6960 0.6281 -0.6281 0.3285 0.7618 -0.7618 0.2785 -0.2785 -0.4465 0.4465 -0.0394 0.0394 0.3048 -0.3048 0.5437 -0.4886 0.4886 0.0712 -0.0712 0.1461 -0.1461 0.4593 -0.4593 0.1804 -0.1804 -0.3833 0.2333 -0.2333 0.4806 -0.4806 0.5237 -0.5237 0.1362 -0.1362 0.3189 -0.3189 0.6184 0.3035 -0.3035 0.4848 -0.4848 -0.2232 0.2232 0.5334 -0.5334 0.6151 -0.6151 0.2593 Columns 188 through 198 -0.3285 0.4160 -0.4160 -0.2021 0.2021 0.4626 -0.4626 0.0360 -0.0360 0.7416 -0.7416 -0.5437 0.3411 -0.3411 -0.6812 0.6812 0.4461 -0.4461 -0.2694 0.2694 0.1357 -0.1357 0.3833 0.3342 -0.3342 0.3468 -0.3468 -0.2911 0.2911 0.6441 -0.6441 0.1286 -0.1286 -0.6184 -0.0442 0.0442 -0.4423 0.4423 0.6558 -0.6558 -0.6184 0.6184 0.5053 -0.5053 -0.2593 0.7726 -0.7726 -0.4232 0.4232 0.2686 -0.2686 0.3590 -0.3590 0.3997 -0.3997 Columns 199 through 209 0.7055 -0.7055 0.1173 -0.1173 0.6830 -0.6830 0.7609 -0.7609 0.1216 -0.1216 0.6523 0.0564 -0.0564 -0.7688 0.7688 0.2337 -0.2337 0.0814 -0.0814 0.3054 -0.3054 0.2422 -0.0638 0.0638 0.4484 -0.4484 0.1835 -0.1835 0.1562 -0.1562 0.4092 -0.4092 0.2423 0.6940 -0.6940 -0.2502 0.2502 0.3769 -0.3769 0.5018 -0.5018 -0.3840 0.3840 0.2842 0.1155 -0.1155 -0.3626 0.3626 0.5506 -0.5506 0.3718 -0.3718 0.7596 -0.7596 0.6134 Columns 210 through 220 -0.6523 0.6387 -0.6387 0.5260 -0.5260 0.7293 -0.7293 0.3707 -0.3707 0.6067 -0.6067 -0.2422 0.0387 -0.0387 0.1705 -0.1705 0.0729 -0.0729 0.0105 -0.0105 -0.5262 0.5262 -0.2423 0.4616 -0.4616 0.4366 -0.4366 0.3202 -0.3202 0.5838 -0.5838 0.1430 -0.1430 -0.2842 0.0691 -0.0691 -0.0274 0.0274 0.2977 -0.2977 -0.2992 0.2992 0.4794 -0.4794 -0.6134 0.6105 -0.6105 0.7091 -0.7091 0.5212 -0.5212 0.6574 -0.6574 -0.3238 0.3238 Columns 221 through 231 0.4099 -0.4099 0.1052 -0.1052 0.4120 -0.4120 0.4538 -0.4538 0.5272 -0.5272 0.1723 -0.7176 0.7176 -0.6822 0.6822 -0.0721 0.0721 -0.7208 0.7208 -0.1908 0.1908 -0.5185 0.5275 -0.5275 0.0208 -0.0208 0.6150 -0.6150 0.3369 -0.3369 0.6285 -0.6285 -0.1698 -0.0810 0.0810 0.1865 -0.1865 -0.2819 0.2819 0.1649 -0.1649 -0.1730 0.1730 0.4254 -0.1792 0.1792 -0.6987 0.6987 0.6062 -0.6062 -0.3659 0.3659 0.5107 -0.5107 -0.7012 Columns 232 through 242 -0.1723 0.4696 -0.4696 0.3864 -0.3864 0.5213 -0.5213 0.5055 -0.5055 -0.2686 0.2686 0.5185 -0.6920 0.6920 -0.0930 0.0930 -0.3748 0.3748 -0.1228 0.1228 -0.6150 0.6150 0.1698 0.2608 -0.2608 0.6271 -0.6271 0.6608 -0.6608 -0.6382 0.6382 -0.3959 0.3959 -0.4254 0.2566 -0.2566 -0.3146 0.3146 -0.1824 0.1824 -0.5669 0.5669 0.1872 -0.1872 0.7012 -0.4083 0.4083 0.5915 -0.5915 0.3433 -0.3433 0.0256 -0.0256 0.5982 -0.5982
A=ExA_11(6);
Calculate the Z-eigenpairs of the tensor A.
[lambda,V] = zeig(A)
lambda = Columns 1 through 11 -133.2871 -133.2871 0 0 0 0 0 0 0 0 0 Columns 12 through 22 0 0 0 0 0 0 0 0 0 0 0 Columns 23 through 33 0 0 0 0 0 0 0 0 0 0 0 Columns 34 through 44 0 0 0 0 0 0 0 0 0 0 0 Columns 45 through 55 0 0 0 0 0 0 0 0 0 0 0 Columns 56 through 66 0 0 0 0 0 0 0 0 0 0 0 Columns 67 through 77 0 0 0 0 0 0 0 0 0 0 0 Columns 78 through 88 0 0 0 0 0 0 0 0 0 0 0 Columns 89 through 99 0 0 0 0 0 0 0 0 0 0 0 Columns 100 through 110 0 0 0 0 0 0 0 0 0 0 0 Columns 111 through 121 0 0 0 0 0 0 0 0 0 0 0 Columns 122 through 132 0 0 0 0 0 0 0 0 0 0 0 Columns 133 through 143 0 0 0 0 0 0 0 0 0 0 0 Columns 144 through 154 0 0 0 0 0 0 0 0 0 0 0 Columns 155 through 165 0 0 0 0 0 0 0 0 0 0 0 Columns 166 through 176 0 0 0 0 0 0 0 0 0 0 0 Columns 177 through 187 0 0 0 0 0 0 0 0 0 0 0 Columns 188 through 198 0 0 0 0 0 0 0 0 0 0 0 Columns 199 through 209 0 0 0 0 0 0 0 0 0 0 0 Columns 210 through 220 0 0 0 0 0 0 0 0 0 0 0 Columns 221 through 231 0 0 0 0 0 0 0 0 0 0 0 Columns 232 through 242 0 0 0 0 0 0 0 0 0 0 0 Columns 243 through 253 0 0 0 0 0 0 0 0 0 0 0 Columns 254 through 264 0 0 0 0 0 0 0 0 0 0 0 Columns 265 through 275 0 0 0 0 0 0 0 0 0 0 0 Columns 276 through 286 0 0 0 0 0 0 0 0 0 0 0 Columns 287 through 297 0 0 0 0 0 0 0 0 0 0 0 Columns 298 through 308 0 0 0 0 0 0 0 0 0 0 0 Columns 309 through 319 0 0 0 0 0 0 0 0 0 0 0 Columns 320 through 330 0 0 0 0 0 0 0 0 0 0 0 Columns 331 through 341 0 0 0 0 0 0 0 0 0 0 0 Columns 342 through 352 0 0 0 0 0 0 0 0 0 0 0 Columns 353 through 363 0 0 0 0 0 0 0 0 0 0 0 Columns 364 through 374 0 0 0 0 0 0 0 0 0 0 0 Columns 375 through 385 0 0 0 0 0 0 0 0 0 0 0 Columns 386 through 396 0 0 0 0 0 0 0 0 0 0 0 Columns 397 through 407 0 0 0 0 0 0 0 0 0 0 0 Columns 408 through 418 0 0 0 0 0 0 0 0 0 0 0 Columns 419 through 429 0 0 0 0 0 0 0 0 0 0 0 Columns 430 through 440 0 0 0 0 0 0 0 0 0 0 0 Columns 441 through 451 0 0 0 0 0 0 0 0 0 0 0 Columns 452 through 462 0 0 0 0 0 0 0 0 0 0 0 Columns 463 through 473 0 0 0 0 0 0 0 0 0 0 0 Columns 474 through 484 0 0 0 0 0 0 0 0 0 0 0 Columns 485 through 495 0 0 0 0 0 0 0 0 0 0 0 Columns 496 through 506 0 0 0 0 0 0 0 0 0 0 0 Columns 507 through 517 0 0 0 0 0 0 0 0 0 0 0 Columns 518 through 528 0 0 0 0 0 0 0 0 0 0 0 Columns 529 through 539 0 0 0 0 0 0 0 0 0 0 0 Columns 540 through 550 0 0 0 0 0 0 0 0 0 0 0 Columns 551 through 561 0 0 0 0 0 0 0 0 0 0 0 Columns 562 through 572 0 0 0 0 0 0 0 0 0 0 0 Columns 573 through 583 0 0 0 0 0 0 0 0 0 0 0 Columns 584 through 594 0 0 0 0 0 0 0 0 0 0 0 Columns 595 through 605 0 0 0 0 0 0 0 0 0 0 0 Columns 606 through 616 0 0 0 0 0 0 0 0 0 0 0 Columns 617 through 627 0 0 0 0 0 0 0 0 0 0 0 Columns 628 through 638 0 0 0 0 0 0 0 0 0 0 0 Columns 639 through 649 0 0 0 0 0 0 0 0 0 0 0 Columns 650 through 660 0 0 0 0 0 0 0 0 0 0 0 Columns 661 through 671 0 0 0 0 0 0 0 0 0 0 0 Columns 672 through 682 0 0 0 0 0 0 0 0 0 0 0 Columns 683 through 693 0 0 0 0 0 0 0 0 0 0 0 Columns 694 through 704 0 0 0 0 0 0 0 0 0 0 0 Columns 705 through 715 0 0 0 0 0 0 0 0 0 0 0 Columns 716 through 726 0 0 0 0 0 0 0 0 0 0 0 Columns 727 through 728 45.5045 45.5045 V = Columns 1 through 11 0.1936 -0.1936 -0.4464 0.4464 -0.0320 0.0320 -0.2245 0.2245 -0.4143 0.4143 -0.1915 0.5222 -0.5222 0.0092 -0.0092 -0.0173 0.0173 0.0119 -0.0119 -0.1569 0.1569 0.1401 0.3429 -0.3429 0.1305 -0.1305 0.7863 -0.7863 0.4799 -0.4799 -0.2091 0.2091 0.5702 0.2287 -0.2287 0.7286 -0.7286 -0.1086 0.1086 0.4040 -0.4040 0.8080 -0.8080 0.2672 0.6272 -0.6272 0.0752 -0.0752 -0.0216 0.0216 0.0709 -0.0709 0.2172 -0.2172 -0.0478 0.3559 -0.3559 -0.4971 0.4971 -0.6068 0.6068 -0.7422 0.7422 -0.2448 0.2448 -0.7382 Columns 12 through 22 0.1915 -0.3368 0.3368 0.1243 -0.1243 -0.2396 0.2396 -0.2246 0.2246 -0.4864 0.4864 -0.1401 0.2081 -0.2081 -0.3224 0.3224 -0.1777 0.1777 -0.2347 0.2347 -0.0998 0.0998 -0.5702 -0.6462 0.6462 0.7063 -0.7063 0.6105 -0.6105 -0.5286 0.5286 0.3477 -0.3477 -0.2672 0.5025 -0.5025 -0.1812 0.1812 0.3131 -0.3131 0.1628 -0.1628 0.6316 -0.6316 0.0478 -0.1245 0.1245 0.2208 -0.2208 0.1418 -0.1418 0.0604 -0.0604 0.0830 -0.0830 0.7382 0.3970 -0.3970 -0.5478 0.5478 -0.6482 0.6482 0.7648 -0.7648 -0.4762 0.4762 Columns 23 through 33 -0.4973 0.4973 -0.3622 0.3622 -0.6202 0.6202 -0.2709 0.2709 0.1999 -0.1999 -0.3056 0.0708 -0.0708 0.0618 -0.0618 -0.0103 0.0103 0.1739 -0.1739 -0.3035 0.3035 -0.2026 -0.2153 0.2153 -0.6279 0.6279 0.0710 -0.0710 0.5946 -0.5946 -0.5690 0.5690 -0.5685 0.8125 -0.8125 0.5338 -0.5338 0.7573 -0.7573 0.2821 -0.2821 -0.1985 0.1985 0.3562 0.0297 -0.0297 -0.0351 0.0351 -0.0062 0.0062 -0.1078 0.1078 0.1852 -0.1852 0.0811 -0.2004 0.2004 0.4295 -0.4295 -0.1916 0.1916 -0.6720 0.6720 0.6859 -0.6859 0.6395 Columns 34 through 44 0.3056 -0.4581 0.4581 -0.4857 0.4857 -0.2943 0.2943 -0.5603 0.5603 -0.3079 0.3079 0.2026 -0.2726 0.2726 -0.1100 0.1100 0.0725 -0.0725 0.0806 -0.0806 -0.4307 0.4307 0.5685 -0.4115 0.4115 0.2275 -0.2275 0.3278 -0.3278 -0.3900 0.3900 0.6127 -0.6127 -0.3562 0.6373 -0.6373 0.6987 -0.6987 0.5477 -0.5477 0.6356 -0.6356 0.3055 -0.3055 -0.0811 0.1721 -0.1721 0.1154 -0.1154 0.0519 -0.0519 -0.1021 0.1021 0.2529 -0.2529 -0.6395 0.3328 -0.3328 -0.4458 0.4458 -0.7057 0.7057 0.3362 -0.3362 -0.4324 0.4324 Columns 45 through 55 -0.3857 0.3857 -0.1823 0.1823 -0.7517 0.7517 0.0990 -0.0990 -0.3732 0.3732 -0.3654 0.2090 -0.2090 0.1698 -0.1698 0.3164 -0.3164 -0.5508 0.5508 -0.1826 0.1826 -0.4900 0.4841 -0.4841 -0.7041 0.7041 -0.3533 0.3533 0.6748 -0.6748 0.5434 -0.5434 -0.3463 0.4325 -0.4325 0.2448 -0.2448 0.2427 -0.2427 -0.2473 0.2473 0.4486 -0.4486 0.4452 -0.1328 0.1328 -0.1322 0.1322 0.2409 -0.2409 0.3037 -0.3037 0.1252 -0.1252 0.2730 -0.6071 0.6071 0.6040 -0.6040 0.3050 -0.3050 -0.2794 0.2794 -0.5614 0.5614 0.4834 Columns 56 through 66 0.3654 -0.2846 0.2846 -0.1139 0.1139 -0.3681 0.3681 -0.3913 0.3913 -0.1163 0.1163 0.4900 -0.1186 0.1186 -0.5788 0.5788 -0.2393 0.2393 -0.0721 0.0721 -0.1036 0.1036 0.3463 0.1442 -0.1442 0.6710 -0.6710 0.6348 -0.6348 -0.5417 0.5417 0.5600 -0.5600 -0.4452 0.6643 -0.6643 0.0097 -0.0097 0.3580 -0.3580 0.4143 -0.4143 0.2678 -0.2678 -0.2730 0.2220 -0.2220 0.3235 -0.3235 0.1249 -0.1249 -0.0224 0.0224 0.1464 -0.1464 -0.4834 -0.6274 0.6274 -0.3116 0.3116 -0.5103 0.5103 0.6133 -0.6133 -0.7543 0.7543 Columns 67 through 77 -0.4969 0.4969 -0.5456 0.5456 -0.4801 0.4801 -0.4126 0.4126 -0.5363 0.5363 -0.2585 0.0167 -0.0167 -0.0292 0.0292 0.1595 -0.1595 0.1381 -0.1381 -0.1157 0.1157 0.5592 0.1166 -0.1166 -0.3713 0.3713 -0.4881 0.4881 0.4512 -0.4512 -0.3709 0.3709 0.4172 0.7442 -0.7442 0.6997 -0.6997 0.6583 -0.6583 0.3131 -0.3131 0.7006 -0.7006 0.1830 0.0474 -0.0474 -0.0245 0.0245 -0.0997 0.0997 0.1963 -0.1963 0.0645 -0.0645 -0.3913 -0.4280 0.4280 0.2709 -0.2709 0.2501 -0.2501 -0.6860 0.6860 0.2577 -0.2577 -0.5096 Columns 78 through 88 0.2585 -0.5128 0.5128 -0.4601 0.4601 -0.2966 0.2966 -0.4264 0.4264 0.4687 -0.4687 -0.5592 0.1172 -0.1172 -0.0726 0.0726 -0.4995 0.4995 -0.1347 0.1347 -0.2390 0.2390 -0.4172 -0.1029 0.1029 0.3451 -0.3451 -0.1874 0.1874 -0.1650 0.1650 0.4529 -0.4529 -0.1830 0.7946 -0.7946 0.6256 -0.6256 0.6600 -0.6600 0.8083 -0.8083 -0.7030 0.7030 0.3913 -0.0110 0.0110 0.0781 -0.0781 0.4258 -0.4258 0.1999 -0.1999 0.1190 -0.1190 0.5096 -0.2851 0.2851 -0.5162 0.5162 -0.1025 0.1025 -0.2820 0.2820 -0.0985 0.0985 Columns 89 through 99 -0.2196 0.2196 -0.5787 0.5787 -0.4341 0.4341 -0.0365 0.0365 -0.4936 0.4936 -0.3751 -0.0169 0.0169 0.1457 -0.1457 0.0920 -0.0920 0.1688 -0.1688 0.2360 -0.2360 -0.1155 0.5627 -0.5627 -0.3140 0.3140 0.1761 -0.1761 -0.7975 0.7975 -0.1750 0.1750 0.2786 0.3329 -0.3329 0.7201 -0.7201 0.6914 -0.6914 0.1976 -0.1976 0.7677 -0.7677 0.6360 0.0621 -0.0621 -0.1014 0.1014 0.0166 -0.0166 -0.0710 0.0710 -0.0569 0.0569 0.1581 -0.7212 0.7212 0.1284 -0.1284 -0.5420 0.5420 0.5386 -0.5386 -0.2782 0.2782 -0.5821 Columns 100 through 110 0.3751 -0.5297 0.5297 -0.4373 0.4373 -0.3028 0.3028 -0.2139 0.2139 -0.4576 0.4576 0.1155 -0.2910 0.2910 -0.4336 0.4336 0.0150 -0.0150 0.1324 -0.1324 -0.2223 0.2223 -0.2786 -0.1087 0.1087 -0.1715 0.1715 -0.5630 0.5630 0.5112 -0.5112 0.3233 -0.3233 -0.6360 0.7590 -0.7590 0.6962 -0.6962 0.7440 -0.7440 0.3416 -0.3416 0.6342 -0.6342 -0.1581 0.2122 -0.2122 0.3260 -0.3260 -0.0729 0.0729 -0.0244 0.0244 0.1742 -0.1742 0.5821 -0.0419 0.0419 0.0203 -0.0203 0.1796 -0.1796 -0.7470 0.7470 -0.4517 0.4517 Columns 111 through 121 -0.5098 0.5098 -0.2824 0.2824 -0.5573 0.5573 -0.4640 0.4640 0.5419 -0.5419 0.1225 -0.1827 0.1827 -0.1719 0.1719 0.0340 -0.0340 -0.1236 0.1236 -0.2862 0.2862 0.4336 -0.0311 0.0311 0.4641 -0.4641 -0.4840 0.4840 0.2147 -0.2147 0.0196 -0.0196 0.5028 0.7867 -0.7867 0.4661 -0.4661 0.4747 -0.4747 0.6998 -0.6998 -0.7199 0.7199 -0.1395 0.1744 -0.1744 0.1773 -0.1773 0.0581 -0.0581 0.1367 -0.1367 0.1629 -0.1629 -0.2338 -0.2375 0.2375 -0.6532 0.6532 0.4746 -0.4746 -0.4635 0.4635 0.2816 -0.2816 -0.6856 Columns 122 through 132 -0.1225 -0.2171 0.2171 0.0461 -0.0461 -0.2163 0.2163 -0.4077 0.4077 -0.3186 0.3186 -0.4336 0.4705 -0.4705 -0.0628 0.0628 -0.2915 0.2915 0.1742 -0.1742 0.2719 -0.2719 -0.5028 -0.4522 0.4522 -0.6757 0.6757 0.5710 -0.5710 -0.4374 0.4374 0.3343 -0.3343 0.1395 0.6192 -0.6192 -0.0493 0.0493 0.3260 -0.3260 0.7767 -0.7767 0.4963 -0.4963 0.2338 -0.3765 0.3765 0.0104 -0.0104 0.2297 -0.2297 -0.0132 0.0132 -0.1097 0.1097 0.6856 -0.0440 0.0440 0.7313 -0.7313 -0.6190 0.6190 -0.0926 0.0926 -0.6741 0.6741 Columns 133 through 143 -0.3096 0.3096 -0.4662 0.4662 -0.5033 0.5033 -0.3411 0.3411 -0.5360 0.5360 -0.6839 -0.0050 0.0050 -0.5773 0.5773 0.1763 -0.1763 0.4295 -0.4295 -0.1568 0.1568 -0.1129 -0.0149 0.0149 0.2114 -0.2114 -0.1263 0.1263 0.3981 -0.3981 0.3661 -0.3661 0.1515 0.7398 -0.7398 0.2250 -0.2250 0.7847 -0.7847 0.1026 -0.1026 0.6210 -0.6210 0.7025 0.1640 -0.1640 0.5949 -0.5949 -0.0452 0.0452 0.1277 -0.1277 0.1031 -0.1031 -0.0008 -0.5742 0.5742 0.0122 -0.0122 -0.2863 0.2863 -0.7168 0.7168 -0.3973 0.3973 -0.0563 Columns 144 through 154 0.6839 -0.1648 0.1648 -0.3669 0.3669 -0.2647 0.2647 -0.1921 0.1921 -0.1705 0.1705 0.1129 0.0535 -0.0535 0.2216 -0.2216 -0.1037 0.1037 0.1890 -0.1890 -0.3449 0.3449 -0.1515 0.1525 -0.1525 -0.1811 0.1811 0.2646 -0.2646 -0.7464 0.7464 0.5560 -0.5560 -0.7025 0.7757 -0.7757 0.7687 -0.7687 0.7532 -0.7532 0.3680 -0.3680 0.2983 -0.2983 0.0008 -0.4836 0.4836 -0.0036 0.0036 -0.1365 0.1365 -0.0940 0.0940 0.2758 -0.2758 0.0563 -0.3333 0.3333 -0.4387 0.4387 -0.5130 0.5130 0.4755 -0.4755 -0.6147 0.6147 Columns 155 through 165 -0.7356 0.7356 -0.3497 0.3497 -0.3172 0.3172 -0.4675 0.4675 -0.3058 0.3058 -0.6547 0.4981 -0.4981 -0.6483 0.6483 0.3325 -0.3325 -0.1989 0.1989 0.1869 -0.1869 -0.1730 0.0925 -0.0925 -0.0763 0.0763 0.2110 -0.2110 -0.0597 0.0597 0.4559 -0.4559 0.0860 0.2889 -0.2889 0.5021 -0.5021 0.5511 -0.5511 0.7882 -0.7882 0.4277 -0.4277 0.7270 0.1609 -0.1609 0.4200 -0.4200 -0.1256 0.1256 0.2090 -0.2090 -0.0755 0.0755 0.0594 -0.3047 0.3047 0.1521 -0.1521 -0.6518 0.6518 -0.2711 0.2711 -0.6892 0.6892 -0.0445 Columns 166 through 176 0.6547 -0.1012 0.1012 0.3317 -0.3317 -0.3343 0.3343 -0.6532 0.6532 -0.0427 0.0427 0.1730 -0.2661 0.2661 -0.1856 0.1856 -0.0851 0.0851 0.2962 -0.2962 0.3063 -0.3063 -0.0860 -0.7155 0.7155 0.4963 -0.4963 0.5697 -0.5697 -0.2181 0.2181 0.6621 -0.6621 -0.7270 0.3762 -0.3762 -0.3588 0.3588 0.4040 -0.4040 0.6317 -0.6317 -0.0676 0.0676 -0.0594 0.2642 -0.2642 0.3273 -0.3273 0.0690 -0.0690 0.1085 -0.1085 -0.2132 0.2132 0.0445 0.4424 -0.4424 -0.6110 0.6110 -0.6233 0.6233 -0.1652 0.1652 -0.6449 0.6449 Columns 177 through 187 -0.2381 0.2381 -0.3513 0.3513 -0.3497 0.3497 -0.4381 0.4381 -0.2453 0.2453 -0.2289 0.2371 -0.2371 0.1638 -0.1638 -0.3128 0.3128 0.1657 -0.1657 0.3392 -0.3392 -0.0456 0.2797 -0.2797 -0.6064 0.6064 -0.1765 0.1765 -0.2292 0.2292 0.2488 -0.2488 -0.7156 0.5036 -0.5036 0.6828 -0.6828 0.7584 -0.7584 0.7994 -0.7994 0.4873 -0.4873 0.4444 -0.0382 0.0382 -0.0137 0.0137 0.3320 -0.3320 0.0006 -0.0006 -0.1142 0.1142 0.0643 -0.7442 0.7442 0.1248 -0.1248 -0.2514 0.2514 -0.2985 0.2985 -0.7158 0.7158 0.4814 Columns 188 through 198 0.2289 0.0113 -0.0113 -0.5645 0.5645 -0.4557 0.4557 -0.6049 0.6049 -0.3165 0.3165 0.0456 -0.1382 0.1382 0.1053 -0.1053 -0.3042 0.3042 0.3905 -0.3905 -0.1902 0.1902 0.7156 0.2782 -0.2782 -0.1920 0.1920 -0.4161 0.4161 -0.5177 0.5177 -0.5339 0.5339 -0.4444 0.7060 -0.7060 0.7091 -0.7091 0.4969 -0.4969 0.1796 -0.1796 0.7174 -0.7174 -0.0643 -0.2921 0.2921 -0.2828 0.2828 0.4964 -0.4964 0.3961 -0.3961 0.2380 -0.2380 -0.4814 -0.5653 0.5653 0.2248 -0.2248 0.1827 -0.1827 0.1563 -0.1563 0.0853 -0.0853 Columns 199 through 209 -0.3448 0.3448 -0.3518 0.3518 -0.5741 0.5741 -0.1383 0.1383 -0.3042 0.3042 -0.2881 0.6572 -0.6572 0.0646 -0.0646 0.1643 -0.1643 0.3012 -0.3012 -0.0715 0.0715 -0.0066 -0.2584 0.2584 -0.3973 0.3973 -0.2990 0.2990 0.5400 -0.5400 -0.4970 0.4970 0.2258 0.4525 -0.4525 0.8363 -0.8363 0.7286 -0.7286 0.1862 -0.1862 0.8082 -0.8082 0.6186 -0.4104 0.4104 -0.1171 0.1171 -0.1169 0.1169 -0.1541 0.1541 0.0316 -0.0316 0.1326 -0.0961 0.0961 -0.0347 0.0347 0.0970 -0.0970 -0.7350 0.7350 0.0328 -0.0328 -0.6824 Columns 210 through 220 0.2881 -0.4108 0.4108 -0.2551 0.2551 -0.1663 0.1663 -0.2402 0.2402 -0.2131 0.2131 0.0066 -0.4122 0.4122 0.1756 -0.1756 0.4308 -0.4308 0.0018 -0.0018 -0.2434 0.2434 -0.2258 -0.2431 0.2431 0.2506 -0.2506 -0.5620 0.5620 0.0855 -0.0855 0.7091 -0.7091 -0.6186 0.7409 -0.7409 0.5674 -0.5674 -0.4373 0.4373 0.6640 -0.6640 0.1858 -0.1858 -0.1326 0.1762 -0.1762 -0.0180 0.0180 0.2976 -0.2976 0.1707 -0.1707 0.1427 -0.1427 0.6824 0.1491 -0.1491 -0.7205 0.7205 0.4372 -0.4372 -0.6818 0.6818 -0.5810 0.5810 Columns 221 through 231 -0.0242 0.0242 -0.2633 0.2633 0.1904 -0.1904 0.1414 -0.1414 -0.1278 0.1278 0.5277 0.2498 -0.2498 -0.3190 0.3190 -0.3993 0.3993 -0.1600 0.1600 0.2996 -0.2996 -0.3160 -0.7872 0.7872 -0.5709 0.5709 0.5477 -0.5477 -0.7645 0.7645 -0.8144 0.8144 0.2836 0.1860 -0.1860 0.4073 -0.4073 -0.1321 0.1321 0.0356 -0.0356 0.0557 -0.0557 -0.7103 -0.1379 0.1379 0.2012 -0.2012 0.3791 -0.3791 0.1624 -0.1624 0.1270 -0.1270 0.1899 0.5135 -0.5135 0.5446 -0.5446 -0.5858 0.5858 0.5851 -0.5851 0.4599 -0.4599 0.0251 Columns 232 through 242 -0.5277 -0.0287 0.0287 0.0152 -0.0152 -0.0791 0.0791 -0.1496 0.1496 -0.3591 0.3591 0.3160 -0.2501 0.2501 -0.4364 0.4364 0.0204 -0.0204 0.1413 -0.1413 -0.3138 0.3138 -0.2836 0.5896 -0.5896 0.5215 -0.5215 0.4432 -0.4432 -0.6754 0.6754 -0.1583 0.1583 0.7103 0.1594 -0.1594 0.1472 -0.1472 0.3252 -0.3252 0.6710 -0.6710 0.7643 -0.7643 -0.1899 0.2409 -0.2409 0.3687 -0.3687 0.1138 -0.1138 -0.1535 0.1535 0.3173 -0.3173 -0.0251 -0.7110 0.7110 -0.6162 0.6162 -0.8235 0.8235 0.1662 -0.1662 -0.2504 0.2504 Columns 243 through 253 -0.3641 0.3641 -0.4388 0.4388 -0.0435 0.0435 0.2449 -0.2449 -0.6643 0.6643 -0.1309 0.0581 -0.0581 0.1278 -0.1278 -0.0588 0.0588 -0.0109 0.0109 0.0902 -0.0902 0.0836 0.4627 -0.4627 0.0432 -0.0432 -0.8224 0.8224 0.5455 -0.5455 -0.2397 0.2397 0.3020 0.4877 -0.4877 0.7437 -0.7437 0.4204 -0.4204 -0.1204 0.1204 0.6822 -0.6822 0.4968 -0.0025 0.0025 0.0099 -0.0099 0.1675 -0.1675 0.1235 -0.1235 0.1634 -0.1634 0.0458 -0.6419 0.6419 -0.4859 0.4859 0.3369 -0.3369 -0.7826 0.7826 -0.0319 0.0319 -0.7973 Columns 254 through 264 0.1309 -0.1555 0.1555 -0.4170 0.4170 -0.1490 0.1490 0.0973 -0.0973 -0.1865 0.1865 -0.0836 0.6651 -0.6651 -0.2115 0.2115 0.1378 -0.1378 -0.1022 0.1022 -0.0068 0.0068 -0.3020 -0.4030 0.4030 -0.2464 0.2464 -0.6642 0.6642 0.5235 -0.5235 -0.6867 0.6867 -0.4968 0.1758 -0.1758 -0.1702 0.1702 0.6683 -0.6683 0.1012 -0.1012 0.6794 -0.6794 -0.0458 0.2463 -0.2463 0.7924 -0.7924 -0.1849 0.1849 0.1919 -0.1919 0.1772 -0.1772 0.7973 -0.5287 0.5287 0.2527 -0.2527 0.1920 -0.1920 -0.8118 0.8118 0.0234 -0.0234 Columns 265 through 275 -0.2057 0.2057 -0.1845 0.1845 -0.0406 0.0406 -0.2094 0.2094 -0.1979 0.1979 0.0104 -0.0441 0.0441 0.4717 -0.4717 0.8265 -0.8265 0.2272 -0.2272 -0.3793 0.3793 0.4812 -0.6818 0.6818 -0.4552 0.4552 0.0037 -0.0037 -0.3010 0.3010 -0.3535 0.3535 -0.6497 0.2867 -0.2867 0.0110 -0.0110 -0.0544 0.0544 0.7355 -0.7355 0.0048 -0.0048 -0.0079 0.0055 -0.0055 -0.4333 0.4333 -0.5127 0.5127 0.0659 -0.0659 0.1001 -0.1001 -0.3246 0.6393 -0.6393 0.5903 -0.5903 -0.2225 0.2225 -0.5182 0.5182 0.8258 -0.8258 0.4906 Columns 276 through 286 -0.0104 -0.5709 0.5709 -0.1943 0.1943 -0.1237 0.1237 0.0094 -0.0094 -0.2473 0.2473 -0.4812 0.0404 -0.0404 0.1362 -0.1362 0.2837 -0.2837 0.0151 -0.0151 -0.3379 0.3379 0.6497 -0.3401 0.3401 0.5320 -0.5320 -0.6877 0.6877 -0.4899 0.4899 -0.2011 0.2011 0.0079 0.7179 -0.7179 0.3077 -0.3077 0.6424 -0.6424 -0.5205 0.5205 0.6986 -0.6986 0.3246 -0.0458 0.0458 -0.0299 0.0299 0.0202 -0.0202 0.4558 -0.4558 0.4262 -0.4262 -0.4906 0.1985 -0.1985 -0.7517 0.7517 -0.1349 0.1349 0.5302 -0.5302 -0.3385 0.3385 Columns 287 through 297 -0.0281 0.0281 -0.0259 0.0259 0.0111 -0.0111 -0.3997 0.3997 0.0466 -0.0466 -0.0237 0.2266 -0.2266 -0.2765 0.2765 0.2503 -0.2503 -0.5748 0.5748 0.1347 -0.1347 -0.2461 0.3935 -0.3935 -0.5872 0.5872 -0.8288 0.8288 -0.1864 0.1864 -0.4134 0.4134 -0.6576 0.2681 -0.2681 0.1367 -0.1367 0.2099 -0.2099 0.5156 -0.5156 0.6177 -0.6177 0.0896 -0.0110 0.0110 0.0049 -0.0049 -0.0882 0.0882 0.3461 -0.3461 0.2272 -0.2272 0.1471 -0.8491 0.8491 0.7479 -0.7479 0.4456 -0.4456 0.2992 -0.2992 -0.6129 0.6129 0.6905 Columns 298 through 308 0.0237 0.4405 -0.4405 -0.1748 0.1748 0.0179 -0.0179 -0.1546 0.1546 -0.1753 0.1753 0.2461 0.0559 -0.0559 0.0058 -0.0058 0.2735 -0.2735 0.7912 -0.7912 0.3233 -0.3233 0.6576 -0.3141 0.3141 -0.7341 0.7341 -0.8166 0.8166 -0.2225 0.2225 -0.6648 0.6648 -0.0896 -0.6369 0.6369 0.3240 -0.3240 0.5070 -0.5070 0.2062 -0.2062 0.6428 -0.6428 -0.1471 -0.0852 0.0852 0.0085 -0.0085 -0.0119 0.0119 -0.4915 0.4915 -0.0340 0.0340 -0.6905 0.5397 -0.5397 0.5705 -0.5705 0.0301 -0.0301 -0.1288 0.1288 -0.0919 0.0919 Columns 309 through 319 -0.0827 0.0827 -0.1864 0.1864 -0.1207 0.1207 0.1040 -0.1040 0.1838 -0.1838 -0.0193 0.2059 -0.2059 0.3289 -0.3289 -0.3037 0.3037 0.4245 -0.4245 0.2979 -0.2979 0.0822 0.3747 -0.3747 -0.4129 0.4129 0.4182 -0.4182 -0.5059 0.5059 0.0081 -0.0081 0.4878 0.3368 -0.3368 -0.0888 0.0888 0.4201 -0.4201 0.5059 -0.5059 0.3133 -0.3133 0.2498 0.0002 -0.0002 -0.3746 0.3746 0.2706 -0.2706 0.0162 -0.0162 0.0764 -0.0764 0.0312 -0.8348 0.8348 0.7338 -0.7338 -0.6845 0.6845 -0.5448 0.5448 -0.8794 0.8794 -0.8316 Columns 320 through 330 0.0193 0.0300 -0.0300 0.1167 -0.1167 0.3714 -0.3714 0.2997 -0.2997 0.0875 -0.0875 -0.0822 0.0425 -0.0425 0.7014 -0.7014 -0.0533 0.0533 0.1137 -0.1137 0.2431 -0.2431 -0.4878 -0.7530 0.7530 -0.5008 0.5008 -0.7344 0.7344 -0.0019 0.0019 -0.8715 0.8715 -0.2498 0.0482 -0.0482 0.2665 -0.2665 0.3234 -0.3234 -0.8123 0.8123 0.4045 -0.4045 -0.0312 -0.0215 0.0215 -0.2593 0.2593 0.3713 -0.3713 0.4806 -0.4806 0.0471 -0.0471 0.8316 0.6538 -0.6538 -0.3245 0.3245 -0.2784 0.2784 -0.0798 0.0798 0.0894 -0.0894 Columns 331 through 341 0.3752 -0.3752 0.2178 -0.2178 -0.3202 0.3202 0.4258 -0.4258 0.0794 -0.0794 0.0208 -0.1750 0.1750 0.0370 -0.0370 0.1943 -0.1943 0.5364 -0.5364 -0.2387 0.2387 -0.2287 0.2335 -0.2335 -0.6185 0.6185 -0.5579 0.5579 0.1863 -0.1863 0.7597 -0.7597 -0.7843 0.0185 -0.0185 -0.2805 0.2805 0.2422 -0.2422 -0.5391 0.5391 -0.1913 0.1913 0.3499 0.3533 -0.3533 -0.0537 0.0537 -0.2222 0.2222 -0.4046 0.4046 0.1414 -0.1414 0.2791 -0.8055 0.8055 0.6979 -0.6979 0.6637 -0.6637 -0.2048 0.2048 -0.5505 0.5505 0.3632 Columns 342 through 352 -0.0208 0.2126 -0.2126 0.1092 -0.1092 -0.1208 0.1208 0.1149 -0.1149 0.6109 -0.6109 0.2287 0.4281 -0.4281 0.3933 -0.3933 0.1043 -0.1043 0.4091 -0.4091 0.1691 -0.1691 0.7843 -0.8418 0.8418 -0.8366 0.8366 -0.3699 0.3699 0.1453 -0.1453 -0.0714 0.0714 -0.3499 0.2411 -0.2411 0.1774 -0.1774 0.7272 -0.7272 0.0653 -0.0653 -0.7646 0.7646 -0.2791 -0.0644 0.0644 -0.1335 0.1335 0.1838 -0.1838 0.1448 -0.1448 -0.0313 0.0313 -0.3632 0.0244 -0.0244 0.2901 -0.2901 -0.5245 0.5245 -0.8793 0.8793 0.0874 -0.0874 Columns 353 through 363 0.5449 -0.5449 0.6075 -0.6075 -0.3686 0.3686 -0.1873 0.1873 0.3316 -0.3316 0.0443 0.1240 -0.1240 0.0828 -0.0828 0.1397 -0.1397 0.2005 -0.2005 -0.0014 0.0014 -0.1090 -0.4365 0.4365 -0.4530 0.4530 -0.1220 0.1220 0.4821 -0.4821 -0.4888 0.4888 0.2982 -0.5827 0.5827 0.0267 -0.0267 0.7742 -0.7742 0.3264 -0.3264 -0.4612 0.4612 0.5952 -0.0443 0.0443 0.3057 -0.3057 0.0536 -0.0536 -0.0587 0.0587 -0.0410 0.0410 -0.0985 0.3946 -0.3946 -0.5697 0.5697 -0.4769 0.4769 -0.7631 0.7631 0.6609 -0.6609 -0.7302 Columns 364 through 374 -0.0443 0.4658 -0.4658 0.1156 -0.1156 0.6799 -0.6799 0.3670 -0.3670 0.1257 -0.1257 0.1090 0.4863 -0.4863 -0.4409 0.4409 0.0726 -0.0726 0.1922 -0.1922 0.3140 -0.3140 -0.2982 -0.0834 0.0834 0.3037 -0.3037 -0.3137 0.3137 -0.7584 0.7584 0.4830 -0.4830 -0.5952 -0.6616 0.6616 0.6902 -0.6902 -0.5223 0.5223 0.3153 -0.3153 -0.0191 0.0191 0.0985 0.0968 -0.0968 -0.3428 0.3428 0.3227 -0.3227 0.2131 -0.2131 -0.1027 0.1027 0.7302 -0.3040 0.3040 -0.3259 0.3259 -0.2391 0.2391 -0.3291 0.3291 -0.8009 0.8009 Columns 375 through 385 0.4680 -0.4680 0.2576 -0.2576 0.2976 -0.2976 -0.0286 0.0286 0.6889 -0.6889 0.6583 -0.0740 0.0740 0.7446 -0.7446 0.4538 -0.4538 -0.2135 0.2135 0.2466 -0.2466 -0.0048 -0.3739 0.3739 -0.3881 0.3881 -0.8072 0.8072 0.8244 -0.8244 -0.4227 0.4227 -0.5709 -0.5820 0.5820 -0.2193 0.2193 0.2019 -0.2019 -0.1672 0.1672 -0.1922 0.1922 -0.0710 0.0173 -0.0173 -0.4239 0.4239 -0.0380 0.0380 0.0750 -0.0750 0.1540 -0.1540 0.3373 0.5447 -0.5447 0.0291 -0.0291 -0.1080 0.1080 -0.4903 0.4903 -0.4747 0.4747 -0.3490 Columns 386 through 396 -0.6583 0.3410 -0.3410 0.4970 -0.4970 0.2570 -0.2570 0.3376 -0.3376 -0.0697 0.0697 0.0048 0.2068 -0.2068 -0.1154 0.1154 0.6459 -0.6459 -0.4750 0.4750 -0.0289 0.0289 0.5709 -0.8004 0.8004 0.4851 -0.4851 -0.2001 0.2001 -0.5992 0.5992 -0.7563 0.7563 0.0710 0.3178 -0.3178 -0.5725 0.5725 0.1357 -0.1357 -0.0240 0.0240 0.6091 -0.6091 -0.3373 0.1878 -0.1878 0.1112 -0.1112 -0.1880 0.1880 0.4563 -0.4563 0.2254 -0.2254 0.3490 -0.2531 0.2531 -0.4053 0.4053 -0.6504 0.6504 0.3044 -0.3044 0.0204 -0.0204 Columns 397 through 407 -0.0081 0.0081 0.0999 -0.0999 0.4579 -0.4579 0.0581 -0.0581 0.2880 -0.2880 0.4241 0.1475 -0.1475 0.4166 -0.4166 0.0286 -0.0286 0.0213 -0.0213 -0.3291 0.3291 0.4668 0.6377 -0.6377 0.4511 -0.4511 0.5168 -0.5168 0.7225 -0.7225 -0.7226 0.7226 -0.7705 0.0280 -0.0280 -0.2195 0.2195 -0.5956 0.5956 -0.1230 0.1230 0.4884 -0.4884 -0.0353 -0.0515 0.0515 0.0034 -0.0034 0.0020 -0.0020 -0.0013 0.0013 0.2086 -0.2086 -0.0859 -0.7537 0.7537 -0.7515 0.7515 -0.4096 0.4096 -0.6776 0.6776 0.0667 -0.0667 0.0007 Columns 408 through 418 -0.4241 -0.0943 0.0943 0.0602 -0.0602 0.1451 -0.1451 0.4112 -0.4112 0.5107 -0.5107 -0.4668 0.2650 -0.2650 0.0319 -0.0319 0.3331 -0.3331 -0.1471 0.1471 -0.0996 0.0996 0.7705 0.1660 -0.1660 0.7272 -0.7272 -0.7746 0.7746 0.4541 -0.4541 -0.7628 0.7628 0.0353 0.5131 -0.5131 -0.1374 0.1374 -0.0261 0.0261 -0.2597 0.2597 -0.1485 0.1485 0.0859 -0.0582 0.0582 -0.0130 0.0130 -0.1668 0.1668 0.2346 -0.2346 0.2605 -0.2605 -0.0007 -0.7916 0.7916 -0.6690 0.6690 0.4893 -0.4893 -0.6932 0.6932 0.2397 -0.2397 Columns 419 through 429 0.1304 -0.1304 0.6466 -0.6466 0.3593 -0.3593 0.2902 -0.2902 0.6199 -0.6199 0.1707 -0.1806 0.1806 0.0626 -0.0626 -0.2341 0.2341 0.2847 -0.2847 0.1511 -0.1511 0.1477 0.7559 -0.7559 -0.1420 0.1420 -0.4232 0.4232 -0.8270 0.8270 0.0141 -0.0141 -0.4472 -0.3029 0.3029 -0.1563 0.1563 -0.4633 0.4633 -0.0580 0.0580 -0.2394 0.2394 -0.4056 0.1196 -0.1196 0.2683 -0.2683 0.1230 -0.1230 -0.0678 0.0678 0.1669 -0.1669 -0.2028 -0.5225 0.5225 -0.6792 0.6792 0.6382 -0.6382 0.3778 -0.3778 -0.7124 0.7124 0.7372 Columns 430 through 440 -0.1707 -0.2138 0.2138 0.3054 -0.3054 0.5746 -0.5746 0.1916 -0.1916 0.0741 -0.0741 -0.1477 -0.2338 0.2338 0.1505 -0.1505 -0.2504 0.2504 0.1597 -0.1597 0.6494 -0.6494 0.4472 -0.0050 0.0050 -0.4353 0.4353 -0.2013 0.2013 0.5714 -0.5714 -0.1185 0.1185 0.4056 0.7064 -0.7064 -0.5007 0.5007 -0.6463 0.6463 -0.1261 0.1261 -0.7374 0.7374 0.2028 0.3023 -0.3023 -0.1653 0.1653 0.1846 -0.1846 -0.0253 0.0253 0.0107 -0.0107 -0.7372 -0.5560 0.5560 0.6454 -0.6454 0.3389 -0.3389 -0.7712 0.7712 0.1217 -0.1217 Columns 441 through 451 0.3401 -0.3401 -0.1531 0.1531 0.3358 -0.3358 0.2128 -0.2128 0.4981 -0.4981 0.6634 0.6921 -0.6921 0.6705 -0.6705 0.4643 -0.4643 0.1575 -0.1575 0.1164 -0.1164 -0.1985 -0.0034 0.0034 -0.4969 0.4969 0.0124 -0.0124 -0.5402 0.5402 -0.7325 0.7325 0.0750 -0.2265 0.2265 0.1884 -0.1884 0.0513 -0.0513 -0.3619 0.3619 -0.2847 0.2847 0.0827 -0.2744 0.2744 -0.4382 0.4382 -0.0473 0.0473 -0.1618 0.1618 0.0607 -0.0607 0.0850 -0.5280 0.5280 0.2294 -0.2294 -0.8165 0.8165 0.6935 -0.6935 0.3420 -0.3420 -0.7077 Columns 452 through 462 -0.6634 0.1132 -0.1132 0.6947 -0.6947 -0.0312 0.0312 0.0593 -0.0593 0.3912 -0.3912 0.1985 -0.0915 0.0915 0.0885 -0.0885 -0.2030 0.2030 -0.2876 0.2876 0.1463 -0.1463 -0.0750 0.5844 -0.5844 0.0999 -0.0999 0.8289 -0.8289 -0.5798 0.5798 0.3624 -0.3624 -0.0827 0.0163 -0.0163 -0.6323 0.6323 -0.1731 0.1731 -0.0816 0.0816 -0.6097 0.6097 -0.0850 0.1596 -0.1596 0.0594 -0.0594 0.0649 -0.0649 0.1488 -0.1488 0.2293 -0.2293 0.7077 -0.7820 0.7820 -0.3102 0.3102 -0.4865 0.4865 0.7408 -0.7408 -0.5195 0.5195 Columns 463 through 473 0.7040 -0.7040 0.2047 -0.2047 -0.0429 0.0429 -0.0185 0.0185 0.2910 -0.2910 0.5243 0.0426 -0.0426 0.2628 -0.2628 -0.2486 0.2486 -0.0460 0.0460 0.0601 -0.0601 0.0640 -0.1487 0.1487 0.0144 -0.0144 0.2846 -0.2846 0.8174 -0.8174 0.6656 -0.6656 0.1322 -0.6899 0.6899 -0.6774 0.6774 0.7142 -0.7142 -0.1805 0.1805 -0.4722 0.4722 -0.7674 0.0581 -0.0581 -0.3555 0.3555 -0.1357 0.1357 -0.0282 0.0282 -0.0514 0.0514 0.2616 0.0340 -0.0340 0.5509 -0.5509 -0.5717 0.5717 -0.5441 0.5441 -0.4931 0.4931 -0.2147 Columns 474 through 484 -0.5243 0.3530 -0.3530 0.1798 -0.1798 -0.1817 0.1817 0.2937 -0.2937 -0.0999 0.0999 -0.0640 0.1491 -0.1491 -0.2690 0.2690 -0.4349 0.4349 0.3677 -0.3677 0.2070 -0.2070 -0.1322 -0.5252 0.5252 -0.4189 0.4189 0.4832 -0.4832 -0.3098 0.3098 0.6269 -0.6269 0.7674 0.3666 -0.3666 -0.3489 0.3489 0.5482 -0.5482 -0.5509 0.5509 0.1034 -0.1034 -0.2616 0.2664 -0.2664 0.0888 -0.0888 0.0736 -0.0736 -0.3242 0.3242 -0.1082 0.1082 0.2147 -0.6099 0.6099 0.7682 -0.7682 -0.4884 0.4884 0.5235 -0.5235 -0.7292 0.7292 Columns 485 through 495 0.3237 -0.3237 0.2417 -0.2417 0.4608 -0.4608 0.1723 -0.1723 0.5998 -0.5998 0.3866 0.1968 -0.1968 0.6337 -0.6337 -0.0294 0.0294 0.0187 -0.0187 0.1708 -0.1708 -0.1115 -0.7901 0.7901 0.2912 -0.2912 -0.7806 0.7806 -0.6290 0.6290 -0.2933 0.2933 -0.6067 -0.1457 0.1457 -0.3577 0.3577 -0.1697 0.1697 -0.2246 0.2246 -0.6697 0.6697 -0.3268 -0.0422 0.0422 -0.3965 0.3965 0.1756 -0.1756 -0.0587 0.0587 -0.0740 0.0740 0.0587 0.4574 -0.4574 -0.4124 0.4124 0.3432 -0.3432 0.7214 -0.7214 0.2665 -0.2665 0.5998 Columns 496 through 506 -0.3866 0.6381 -0.6381 0.3240 -0.3240 -0.0583 0.0583 0.6790 -0.6790 0.3918 -0.3918 0.1115 -0.0070 0.0070 0.3471 -0.3471 -0.1542 0.1542 0.3869 -0.3869 0.1595 -0.1595 0.6067 0.2532 -0.2532 0.5320 -0.5320 0.6788 -0.6788 -0.1830 0.1830 0.4814 -0.4814 0.3268 -0.5847 0.5847 -0.3423 0.3423 0.0942 -0.0942 -0.5204 0.5204 -0.2496 0.2496 -0.0587 0.1166 -0.1166 -0.4745 0.4745 0.1357 -0.1357 -0.0830 0.0830 -0.0596 0.0596 -0.5998 -0.4162 0.4162 -0.3864 0.3864 -0.6962 0.6962 -0.2795 0.2795 -0.7235 0.7235 Columns 507 through 517 0.5341 -0.5341 0.2395 -0.2395 0.4806 -0.4806 0.1893 -0.1893 0.4915 -0.4915 -0.1582 -0.1626 0.1626 -0.2852 0.2852 -0.0707 0.0707 -0.1346 0.1346 0.0089 -0.0089 -0.2675 0.3621 -0.3621 -0.6577 0.6577 -0.2797 0.2797 0.7431 -0.7431 0.3821 -0.3821 -0.5772 -0.4037 0.4037 0.0218 -0.0218 -0.5636 0.5636 -0.3490 0.3490 -0.3408 0.3408 0.1583 0.2473 -0.2473 0.0279 -0.0279 -0.1537 0.1537 0.0683 -0.0683 0.1471 -0.1471 0.1153 -0.5772 0.5772 0.6538 -0.6538 0.5870 -0.5870 -0.5171 0.5171 -0.6888 0.6888 0.7293 Columns 518 through 528 0.1582 0.3622 -0.3622 0.3306 -0.3306 0.6436 -0.6436 -0.1562 0.1562 0.5329 -0.5329 0.2675 0.5454 -0.5454 -0.1596 0.1596 -0.3148 0.3148 0.1821 -0.1821 0.0943 -0.0943 0.5772 0.2002 -0.2002 -0.4922 0.4922 -0.1078 0.1078 0.5164 -0.5164 -0.2507 0.2507 -0.1583 -0.2351 0.2351 -0.4190 0.4190 -0.6214 0.6214 0.2789 -0.2789 -0.6946 0.6946 -0.1153 -0.2183 0.2183 0.0755 -0.0755 0.2668 -0.2668 -0.0495 0.0495 -0.0767 0.0767 -0.7293 -0.6545 0.6545 0.6646 -0.6646 0.1336 -0.1336 -0.7717 0.7717 0.3949 -0.3949 Columns 529 through 539 0.0840 -0.0840 0.5030 -0.5030 0.0848 -0.0848 0.1637 -0.1637 0.5894 -0.5894 0.4161 0.0868 -0.0868 0.0193 -0.0193 0.1226 -0.1226 0.3463 -0.3463 0.0341 -0.0341 0.3914 -0.7774 0.7774 -0.1946 0.1946 -0.6211 0.6211 0.5444 -0.5444 0.3310 -0.3310 0.3570 0.0209 -0.0209 -0.7749 0.7749 -0.1815 0.1815 -0.1785 0.1785 -0.6362 0.6362 -0.6101 -0.0304 0.0304 0.2881 -0.2881 -0.1394 0.1394 -0.1719 0.1719 0.0486 -0.0486 -0.1765 0.6161 -0.6161 0.1591 -0.1591 0.7346 -0.7346 -0.7039 0.7039 -0.3670 0.3670 -0.3779 Columns 540 through 550 -0.4161 -0.4132 0.4132 0.2996 -0.2996 0.3308 -0.3308 0.2874 -0.2874 -0.2885 0.2885 -0.3914 0.4550 -0.4550 0.4819 -0.4819 0.2988 -0.2988 0.4886 -0.4886 0.1933 -0.1933 -0.3570 0.2890 -0.2890 0.4167 -0.4167 0.5186 -0.5186 -0.1553 0.1553 -0.4965 0.4965 0.6101 0.4570 -0.4570 -0.4010 0.4010 -0.4127 0.4127 -0.7868 0.7868 -0.2103 0.2103 0.1765 -0.2946 0.2946 -0.2848 0.2848 -0.1538 0.1538 0.1872 -0.1872 0.0357 -0.0357 0.3779 -0.4931 0.4931 -0.5124 0.5124 -0.5817 0.5817 -0.0210 0.0210 0.7664 -0.7664 Columns 551 through 561 0.6591 -0.6591 -0.0574 0.0574 0.3535 -0.3535 0.7101 -0.7101 0.2518 -0.2518 0.3050 -0.1162 0.1162 0.0940 -0.0940 0.5063 -0.5063 -0.1505 0.1505 0.3813 -0.3813 -0.3917 0.3275 -0.3275 0.7830 -0.7830 -0.0562 0.0562 -0.1728 0.1728 -0.7195 0.7195 0.6140 -0.6257 0.6257 -0.1165 0.1165 0.0460 -0.0460 -0.6294 0.6294 -0.2247 0.2247 -0.4116 -0.0141 0.0141 -0.1128 0.1128 -0.0695 0.0695 0.2153 -0.2153 -0.1400 0.1400 0.2588 -0.2306 0.2306 -0.5903 0.5903 -0.7801 0.7801 0.0274 -0.0274 0.4511 -0.4511 -0.3744 Columns 562 through 572 -0.3050 0.5773 -0.5773 0.7291 -0.7291 0.6400 -0.6400 -0.1774 0.1774 0.2537 -0.2537 0.3917 0.1344 -0.1344 -0.1147 0.1147 -0.0363 0.0363 0.1011 -0.1011 0.2184 -0.2184 -0.6140 0.3147 -0.3147 -0.0621 0.0621 -0.2661 0.2661 0.5090 -0.5090 0.6224 -0.6224 0.4116 -0.6623 0.6623 -0.6214 0.6214 -0.6693 0.6693 0.3271 -0.3271 -0.6245 0.6245 -0.2588 -0.0325 0.0325 0.2118 -0.2118 0.0786 -0.0786 0.0097 -0.0097 -0.2450 0.2450 0.3744 -0.3316 0.3316 -0.1426 0.1426 0.2531 -0.2531 -0.7695 0.7695 -0.2249 0.2249 Columns 573 through 583 0.5127 -0.5127 0.5314 -0.5314 0.0780 -0.0780 0.3703 -0.3703 0.4667 -0.4667 0.1056 -0.0355 0.0355 0.0122 -0.0122 -0.1325 0.1325 -0.4584 0.4584 0.1546 -0.1546 0.3476 0.4105 -0.4105 -0.1934 0.1934 -0.5656 0.5656 -0.0400 0.0400 -0.5308 0.5308 0.2428 -0.7375 0.7375 -0.7512 0.7512 -0.1836 0.1836 -0.5936 0.5936 -0.4942 0.4942 0.2142 0.0028 -0.0028 0.0674 -0.0674 0.0146 -0.0146 0.2223 -0.2223 -0.0728 0.0728 -0.0374 -0.1530 0.1530 0.3337 -0.3337 0.7890 -0.7890 0.4994 -0.4994 0.4765 -0.4765 -0.8728 Columns 584 through 594 -0.1056 0.3299 -0.3299 0.2887 -0.2887 0.3248 -0.3248 0.4539 -0.4539 0.3591 -0.3591 -0.3476 -0.1924 0.1924 -0.3591 0.3591 0.4996 -0.4996 0.5224 -0.5224 -0.3199 0.3199 -0.2428 0.6555 -0.6555 -0.1562 0.1562 -0.7233 0.7233 -0.1347 0.1347 -0.5260 0.5260 -0.2142 -0.5787 0.5787 -0.6202 0.6202 -0.1596 0.1596 -0.6109 0.6109 -0.3237 0.3237 0.0374 0.0754 -0.0754 0.3229 -0.3229 -0.1882 0.1882 -0.3424 0.3424 0.2339 -0.2339 0.8728 -0.2897 0.2897 0.5239 -0.5239 0.2468 -0.2468 0.1117 -0.1117 0.5766 -0.5766 Columns 595 through 605 -0.0810 0.0810 0.5596 -0.5596 0.2292 -0.2292 0.5066 -0.5066 0.4240 -0.4240 0.2102 0.0059 -0.0059 -0.2011 0.2011 0.4553 -0.4553 -0.0723 0.0723 -0.0725 0.0725 0.3204 0.5430 -0.5430 0.1240 -0.1240 0.4681 -0.4681 -0.4419 0.4419 0.5649 -0.5649 0.4322 0.2409 -0.2409 -0.7665 0.7665 -0.2869 0.2869 -0.5481 0.5481 -0.5546 0.5546 -0.0708 0.0870 -0.0870 0.1022 -0.1022 -0.2540 0.2540 0.0680 -0.0680 0.0669 -0.0669 -0.0831 -0.7956 0.7956 0.1818 -0.1818 -0.6117 0.6117 0.4876 -0.4876 -0.4287 0.4287 -0.8090 Columns 606 through 616 -0.2102 0.5633 -0.5633 0.6895 -0.6895 0.6626 -0.6626 0.4906 -0.4906 0.5211 -0.5211 -0.3204 0.3947 -0.3947 0.1187 -0.1187 0.2142 -0.2142 -0.0103 0.0103 -0.8183 0.8183 -0.4322 -0.1762 0.1762 0.1576 -0.1576 -0.0747 0.0747 0.2026 -0.2026 0.1824 -0.1824 0.0708 -0.6845 0.6845 -0.2370 0.2370 -0.7099 0.7099 -0.8138 0.8138 -0.0589 0.0589 0.0831 0.0578 -0.0578 -0.0780 0.0780 -0.0713 0.0713 0.2192 -0.2192 0.0279 -0.0279 0.8090 -0.1550 0.1550 -0.6507 0.6507 -0.0209 0.0209 -0.0883 0.0883 0.1458 -0.1458 Columns 617 through 627 -0.0119 0.0119 -0.0743 0.0743 0.6871 -0.6871 -0.1419 0.1419 0.4489 -0.4489 0.6143 -0.0553 0.0553 -0.3757 0.3757 -0.1183 0.1183 0.4264 -0.4264 0.1201 -0.1201 0.0427 0.8442 -0.8442 0.4923 -0.4923 0.2553 -0.2553 -0.7306 0.7306 -0.3895 0.3895 -0.2060 -0.2172 0.2172 0.2716 -0.2716 -0.4981 0.4981 0.4664 -0.4664 -0.5947 0.5947 -0.7123 -0.0794 0.0794 0.3369 -0.3369 0.1085 -0.1085 -0.1627 0.1627 -0.1026 0.1026 -0.0051 -0.4803 0.4803 -0.6509 0.6509 -0.4346 0.4346 0.1425 -0.1425 0.5178 -0.5178 0.2664 Columns 628 through 638 -0.6143 0.6396 -0.6396 0.0666 -0.0666 0.4161 -0.4161 0.2303 -0.2303 0.6770 -0.6770 -0.0427 0.1236 -0.1236 0.1891 -0.1891 0.4283 -0.4283 -0.0059 0.0059 0.1055 -0.1055 0.2060 -0.0985 0.0985 -0.7733 0.7733 0.3360 -0.3360 0.6131 -0.6131 -0.1777 0.1777 0.7123 -0.7406 0.7406 0.0262 -0.0262 -0.4292 0.4292 -0.1910 0.1910 -0.7003 0.7003 0.0051 -0.0475 0.0475 -0.1010 0.1010 -0.1967 0.1967 0.0802 -0.0802 0.0035 -0.0035 -0.2664 0.1233 -0.1233 0.5924 -0.5924 -0.5545 0.5545 -0.7267 0.7267 0.0921 -0.0921 Columns 639 through 649 0.3576 -0.3576 0.1462 -0.1462 0.8549 -0.8549 0.4069 -0.4069 0.2418 -0.2418 0.1374 -0.0766 0.0766 0.1764 -0.1764 0.0356 -0.0356 0.4041 -0.4041 -0.0019 0.0019 0.1028 -0.6544 0.6544 0.6365 -0.6365 -0.1239 0.1239 0.3207 -0.3207 -0.7722 0.7722 -0.6347 -0.2998 0.2998 -0.1753 0.1753 -0.2474 0.2474 -0.3275 0.3275 -0.1030 0.1030 -0.2105 0.0901 -0.0901 -0.0723 0.0723 -0.4278 0.4278 -0.1398 0.1398 0.0599 -0.0599 -0.1100 0.5831 -0.5831 -0.7116 0.7116 -0.0913 0.0913 -0.6644 0.6644 0.5754 -0.5754 0.7150 Columns 650 through 660 -0.1374 0.5603 -0.5603 -0.1494 0.1494 -0.1107 0.1107 0.1426 -0.1426 0.1171 -0.1171 -0.1028 0.1975 -0.1975 -0.0550 0.0550 -0.0574 0.0574 -0.2710 0.2710 0.4714 -0.4714 0.6347 0.0426 -0.0426 0.5716 -0.5716 0.6564 -0.6564 -0.3057 0.3057 0.5578 -0.5578 0.2105 -0.7789 0.7789 0.2785 -0.2785 0.1593 -0.1593 -0.4108 0.4108 -0.3220 0.3220 0.1100 -0.1492 0.1492 0.1026 -0.1026 0.0752 -0.0752 0.0437 -0.0437 -0.3431 0.3431 -0.7150 0.1276 -0.1276 -0.7482 0.7482 -0.7229 0.7229 0.8013 -0.8013 -0.4811 0.4811 Columns 661 through 671 0.2465 -0.2465 0.1472 -0.1472 0.5274 -0.5274 0.3738 -0.3738 0.1836 -0.1836 0.5052 -0.0662 0.0662 0.1240 -0.1240 0.1384 -0.1384 0.0659 -0.0659 0.1237 -0.1237 0.2727 0.7007 -0.7007 -0.4843 0.4843 0.3959 -0.3959 -0.4959 0.4959 0.6765 -0.6765 -0.3104 -0.3788 0.3788 -0.3598 0.3598 -0.6074 0.6074 -0.4847 0.4847 -0.2782 0.2782 -0.6431 0.0441 -0.0441 -0.1799 0.1799 -0.0351 0.0351 -0.0679 0.0679 -0.0639 0.0639 -0.1814 -0.5463 0.5463 0.7528 -0.7528 -0.4192 0.4192 0.6087 -0.6087 -0.6418 0.6418 0.3571 Columns 672 through 682 -0.5052 0.5263 -0.5263 0.5586 -0.5586 0.3346 -0.3346 0.4871 -0.4871 0.5905 -0.5905 -0.2727 0.1312 -0.1312 0.0520 -0.0520 -0.2086 0.2086 -0.1386 0.1386 0.0879 -0.0879 0.3104 -0.0318 0.0318 -0.6339 0.6339 0.6511 -0.6511 0.4926 -0.4926 0.0740 -0.0740 0.6431 -0.7785 0.7785 -0.4009 0.4009 -0.5381 0.5381 -0.5883 0.5883 -0.7892 0.7892 0.1814 -0.1322 0.1322 0.0838 -0.0838 0.1069 -0.1069 0.1215 -0.1215 -0.0671 0.0671 -0.3571 0.2850 -0.2850 0.3403 -0.3403 -0.3459 0.3459 -0.3743 0.3743 0.1039 -0.1039 Columns 683 through 693 0.4321 -0.4321 0.3642 -0.3642 0.2141 -0.2141 0.4856 -0.4856 0.5637 -0.5637 0.4629 -0.3675 0.3675 0.0467 -0.0467 0.2007 -0.2007 -0.2331 0.2331 0.4399 -0.4399 0.2078 0.4341 -0.4341 0.5142 -0.5142 -0.7393 0.7393 0.4491 -0.4491 0.1058 -0.1058 0.4496 -0.6736 0.6736 -0.2888 0.2888 -0.1517 0.1517 -0.6829 0.6829 -0.5534 0.5534 -0.5699 0.1892 -0.1892 0.0786 -0.0786 -0.1016 0.1016 0.1349 -0.1349 -0.1868 0.1868 -0.0962 -0.0143 0.0143 -0.7150 0.7150 0.5779 -0.5779 -0.1537 0.1537 -0.3693 0.3693 -0.4542 Columns 694 through 704 -0.4629 0.4390 -0.4390 0.4277 -0.4277 0.2798 -0.2798 0.5697 -0.5697 0.2336 -0.2336 -0.2078 0.1361 -0.1361 -0.3954 0.3954 -0.0264 0.0264 -0.0153 0.0153 -0.5346 0.5346 -0.4496 0.4979 -0.4979 0.2051 -0.2051 0.6259 -0.6259 0.0120 -0.0120 0.5911 -0.5911 0.5699 -0.6597 0.6597 -0.7078 0.7078 -0.2939 0.2939 -0.7865 0.7865 -0.3408 0.3408 0.0962 -0.1062 0.1062 0.1762 -0.1762 0.0758 -0.0758 -0.0170 0.0170 0.3359 -0.3359 0.4542 -0.3071 0.3071 0.2942 -0.2942 -0.6612 0.6612 0.2371 -0.2371 -0.2852 0.2852 Columns 705 through 715 -0.0004 0.0004 0.6086 -0.6086 0.4200 -0.4200 0.2862 -0.2862 0.5217 -0.5217 0.1885 -0.7485 0.7485 0.4025 -0.4025 0.1028 -0.1028 -0.2331 0.2331 0.4776 -0.4776 0.0910 0.4889 -0.4889 -0.1069 0.1069 -0.6979 0.6979 -0.2298 0.2298 -0.0078 0.0078 0.6650 -0.1114 0.1114 -0.6444 0.6444 -0.3117 0.3117 -0.5635 0.5635 -0.6445 0.6445 -0.2452 0.4300 -0.4300 -0.1900 0.1900 0.0085 -0.0085 0.0388 -0.0388 -0.2833 0.2833 -0.0260 -0.0587 0.0587 -0.0698 0.0698 0.4783 -0.4783 0.7014 -0.7014 -0.0636 0.0636 -0.6732 Columns 716 through 726 -0.1885 0.3873 -0.3873 0.5874 -0.5874 0.5304 -0.5304 -0.0953 0.0953 0.5840 -0.5840 -0.0910 -0.2294 0.2294 0.2000 -0.2000 0.1530 -0.1530 -0.0435 0.0435 0.3454 -0.3454 -0.6650 0.5955 -0.5955 0.2411 -0.2411 -0.1756 0.1756 0.8060 -0.8060 -0.1784 0.1784 0.2452 -0.5597 0.5597 -0.7017 0.7017 -0.7274 0.7274 -0.0662 0.0662 -0.6773 0.6773 0.0260 0.1385 -0.1385 -0.0889 0.0889 -0.1260 0.1260 -0.0227 0.0227 -0.1892 0.1892 0.6732 -0.3321 0.3321 -0.2379 0.2379 0.3456 -0.3456 -0.5783 0.5783 0.1156 -0.1156 Columns 727 through 728 0.6281 -0.6281 0.0717 -0.0717 0.3754 -0.3754 0.5687 -0.5687 -0.1060 0.1060 0.3533 -0.3533
A=ExA_12(4);
Calculate the Z-eigenpairs of the tensor A.
[lambda,V] = zeig(A)
lambda = Columns 1 through 11 -132.3070 -0.7074 0 0 0 0 0 0 0 0 0 Columns 12 through 22 0 0 0 0 0 0 0 0 0 0 0 Columns 23 through 33 0 0 0 0 0 0 0 0 0 0 0 Columns 34 through 44 0 0 0 0 0 0 0 0 0 0 0 Columns 45 through 55 0 0 0 0 0 0 0 0 0 0 0 Columns 56 through 66 0 0 0 0 0 0 0 0 0 0 0 Columns 67 through 77 0 0 0 0 0 0 0 0 0 0 0 Columns 78 through 88 0 0 0 0 0 0 0 0 0 0 0 Columns 89 through 99 0 0 0 0 0 0 0 0 0 0 0 Columns 100 through 110 0 0 0 0 0 0 0 0 0 0 0 Columns 111 through 121 0 0 0 0 0 0 0 0 0 0 0 Columns 122 through 132 0 0 0 0 0 0 0 0 0 0 0 Columns 133 through 143 0 0 0 0 0 0 0 0 0 0 0 Columns 144 through 154 0 0 0 0 0 0 0 0 0 0 0 Columns 155 through 165 0 0 0 0 0 0 0 0 0 0 0 Columns 166 through 170 0 0 0 0.7074 132.3070 V = Columns 1 through 11 -0.4030 0.9054 -0.4304 0.4304 -0.8246 0.8246 -0.6830 0.6830 -0.4088 0.4088 -0.7598 -0.4844 0.3082 0.8139 -0.8139 0.3077 -0.3077 -0.0573 0.0573 0.8126 -0.8126 0.0534 -0.5319 -0.0411 0.0069 -0.0069 0.0444 -0.0444 0.0123 -0.0123 0.0115 -0.0115 0.0612 -0.5657 -0.2890 -0.3903 0.3903 0.4726 -0.4726 0.7280 -0.7280 -0.4153 0.4153 0.6451 Columns 12 through 22 0.7598 -0.8494 0.8494 -0.8160 0.8160 -0.4029 0.4029 -0.7659 0.7659 -0.7478 0.7478 -0.0534 0.4315 -0.4315 0.1285 -0.1285 0.8398 -0.8398 -0.0034 0.0034 -0.0401 0.0401 -0.0612 0.1587 -0.1587 0.1422 -0.1422 -0.0828 0.0828 0.6271 -0.6271 0.6478 -0.6478 -0.6451 0.2592 -0.2592 0.5453 -0.5453 -0.3543 0.3543 0.1422 -0.1422 0.1401 -0.1401 Columns 23 through 33 -0.7313 0.7313 -0.7271 0.7271 -0.7090 0.7090 -0.6932 0.6932 -0.6322 0.6322 -0.4931 -0.0820 0.0820 0.1132 -0.1132 -0.1549 0.1549 0.6264 -0.6264 0.1692 -0.1692 -0.1540 0.6594 -0.6594 0.6744 -0.6744 0.6557 -0.6557 0.2833 -0.2833 0.7134 -0.7134 0.8353 0.1539 -0.1539 -0.0605 0.0605 0.2082 -0.2082 -0.2164 0.2164 -0.2505 0.2505 -0.1882 Columns 34 through 44 0.4931 -0.3445 0.3445 -0.2785 0.2785 0.2583 -0.2583 -0.3741 0.3741 -0.3314 0.3314 0.1540 -0.6308 0.6308 -0.0344 0.0344 -0.5546 0.5546 0.3783 -0.3783 -0.3913 0.3913 -0.8353 0.4257 -0.4257 0.8169 -0.8169 0.6875 -0.6875 0.5965 -0.5965 0.8492 -0.8492 0.1882 0.5496 -0.5496 -0.5039 0.5039 -0.3912 0.3912 -0.6009 0.6009 -0.1265 0.1265 Columns 45 through 55 -0.2670 0.2670 -0.2643 0.2643 -0.5537 0.5537 -0.2794 0.2794 -0.3598 0.3598 -0.0645 0.2663 -0.2663 -0.3865 0.3865 -0.0276 0.0276 0.2937 -0.2937 -0.3525 0.3525 -0.2075 0.6553 -0.6553 0.8588 -0.8588 0.8024 -0.8024 0.6393 -0.6393 0.8525 -0.8525 0.8128 -0.6545 0.6545 -0.2080 0.2080 -0.2211 0.2211 -0.6534 0.6534 -0.1402 0.1402 -0.5404 Columns 56 through 66 0.0645 -0.1404 0.1404 0.1244 -0.1244 -0.1380 0.1380 0.1276 -0.1276 -0.2140 0.2140 0.2075 -0.0459 0.0459 -0.5555 0.5555 -0.0117 0.0117 -0.5685 0.5685 0.1117 -0.1117 -0.8128 0.7862 -0.7862 0.7555 -0.7555 0.7711 -0.7711 0.7511 -0.7511 0.7354 -0.7354 0.5404 -0.6000 0.6000 -0.3243 0.3243 -0.6214 0.6214 -0.3103 0.3103 -0.6332 0.6332 Columns 67 through 77 -0.1685 0.1685 0.2422 -0.2422 -0.1979 0.1979 -0.1213 0.1213 -0.0975 0.0975 -0.1778 -0.0235 0.0235 -0.4938 0.4938 0.0784 -0.0784 -0.0879 0.0879 0.1148 -0.1148 0.0400 0.7861 -0.7861 0.7028 -0.7028 0.7480 -0.7480 0.7958 -0.7958 0.6903 -0.6903 0.7608 -0.5942 0.5942 -0.4512 0.4512 -0.6286 0.6286 -0.5867 0.5867 -0.7076 0.7076 -0.6229 Columns 78 through 88 0.1778 -0.1920 0.1920 -0.0376 0.0376 -0.1732 0.1732 -0.1999 0.1999 0.1076 -0.1076 -0.0400 0.0729 -0.0729 -0.2628 0.2628 0.0287 -0.0287 0.0922 -0.0922 -0.5336 0.5336 -0.7608 0.7490 -0.7490 0.8152 -0.8152 0.7646 -0.7646 0.7415 -0.7415 0.7666 -0.7666 0.6229 -0.6300 0.6300 -0.5147 0.5147 -0.6202 0.6202 -0.6338 0.6338 -0.3406 0.3406 Columns 89 through 99 -0.1586 0.1586 -0.2099 0.2099 -0.1685 0.1685 -0.1693 0.1693 -0.1309 0.1309 -0.0433 -0.0018 0.0018 0.1162 -0.1162 0.0176 -0.0176 0.0128 -0.0128 -0.0670 0.0670 -0.2492 0.7737 -0.7737 0.7316 -0.7316 0.7682 -0.7682 0.7707 -0.7707 0.7913 -0.7913 0.8146 -0.6133 0.6133 -0.6381 0.6381 -0.6174 0.6174 -0.6141 0.6141 -0.5936 0.5936 -0.5220 Columns 100 through 110 0.0433 -0.0579 0.0579 0.0818 -0.0818 -0.0564 0.0564 -0.1665 0.1665 -0.1523 0.1523 0.2492 -0.2384 0.2384 -0.8290 0.8290 -0.2249 0.2249 0.0480 -0.0480 -0.0184 0.0184 -0.8146 0.8175 -0.8175 0.4894 -0.4894 0.8140 -0.8140 0.7531 -0.7531 0.7789 -0.7789 0.5220 -0.5211 0.5211 0.2579 -0.2579 -0.5326 0.5326 -0.6346 0.6346 -0.6081 0.6081 Columns 111 through 121 -0.1751 0.1751 -0.1451 0.1451 -0.1226 0.1226 -0.1307 0.1307 -0.0884 0.0884 -0.1138 0.0309 -0.0309 -0.1147 0.1147 -0.0855 0.0855 -0.0915 0.0915 -0.1104 0.1104 -0.1042 0.7642 -0.7642 0.8126 -0.8126 0.7954 -0.7954 0.8003 -0.8003 0.7923 -0.7923 0.7990 -0.6199 0.6199 -0.5527 0.5527 -0.5873 0.5873 -0.5780 0.5780 -0.5935 0.5935 -0.5811 Columns 122 through 132 0.1138 -0.3469 0.3469 0.0553 -0.0553 -0.1225 0.1225 -0.0538 0.0538 -0.0224 0.0224 0.1042 0.5492 -0.5492 -0.4405 0.4405 -0.0816 0.0816 -0.2303 0.2303 -0.2904 0.2904 -0.7990 0.4269 -0.4269 0.7963 -0.7963 0.7940 -0.7940 0.8143 -0.8143 0.8145 -0.8145 0.5811 -0.6291 0.6291 -0.4108 0.4108 -0.5898 0.5898 -0.5301 0.5301 -0.5017 0.5017 Columns 133 through 143 0.0133 -0.0133 0.3347 -0.3347 -0.0716 0.0716 0.1469 -0.1469 -0.1670 0.1670 0.0314 -0.3374 0.3374 -0.8437 0.8437 -0.1857 0.1857 -0.6164 0.6164 0.0152 -0.0152 -0.3966 0.8076 -0.8076 0.4071 -0.4071 0.8095 -0.8095 0.7289 -0.7289 0.7689 -0.7689 0.8052 -0.4835 0.4835 0.1018 -0.1018 -0.5523 0.5523 -0.2594 0.2594 -0.6170 0.6170 -0.4398 Columns 144 through 154 -0.0314 0.3825 -0.3825 -0.5483 0.5483 0.2392 -0.2392 0.2103 -0.2103 0.1729 -0.1729 0.3966 -0.8600 0.8600 0.3666 -0.3666 -0.7363 0.7363 -0.6956 0.6956 0.0788 -0.0788 -0.8052 0.2291 -0.2291 0.6145 -0.6145 0.6208 -0.6208 0.6635 -0.6635 0.5569 -0.5569 0.4398 0.2483 -0.2483 -0.4329 0.4329 -0.1238 0.1238 -0.1782 0.1782 -0.8085 0.8085 Columns 155 through 165 0.2459 -0.2459 0.1150 -0.1150 0.2085 -0.2085 -0.0578 0.0578 0.0681 -0.0681 0.1463 -0.7450 0.7450 -0.5484 0.5484 -0.6950 0.6950 -0.2224 0.2224 -0.4598 0.4598 -0.8127 0.6101 -0.6101 0.7608 -0.7608 0.6646 -0.6646 0.8138 -0.8138 0.7906 -0.7906 0.5525 -0.1109 0.1109 -0.3274 0.3274 -0.1783 0.1783 -0.5337 0.5337 -0.3986 0.3986 0.1139 Columns 166 through 170 -0.1463 0.3066 -0.3066 -0.9054 0.4030 0.8127 -0.8154 0.8154 -0.3082 0.4844 -0.5525 0.4907 -0.4907 0.0411 0.5319 -0.1139 0.0181 -0.0181 0.2890 0.5657
eeig | teig | teneig | heig | zeig | tensor2poly | NwtnHomotopy | evalTensorEig