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The following is the 35-year data. begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} hline 18 & 6 & 0.0194 & -0.0260 & -0.0078 & -0.0125 & -0.0091 & 0.0395 & 0.0409
The following is the 35-year data.
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 18 & 6 & 0.0194 & -0.0260 & -0.0078 & -0.0125 & -0.0091 & 0.0395 & 0.0409 & -0.0166 & -0.0056 & -0.0049 & 0.0071 \\ \hline 18 & 7 & 0.0370 & 0.0027 & 0.0089 & 0.0322 & 0.0585 & 0.0178 & 0.0250 & 0.1258 & 0.0901 & 0.0771 & 0.0070 \\ \hline 18 & 8 & 0.0092 & -0.0238 & 0.0130 & 0.0203 & 0.0275 & -0.0163 & -0.0241 & -0.0448 & 0.0199 & 0.0221 & 0.0067 \\ \hline 18 & 9 & -0.0094 & -0.0136 & 0.0117 & 0.0046 & 0.0007 & 0.0040 & 0.0032 & 0.0457 & -0.0040 & -0.0015 & 0.0064 \\ \hline 18 & 10 & -0.0258 & 0.0066 & -0.0475 & -0.0539 & -0.0416 & 0.0276 & 0.0332 & -0.0400 & -0.0236 & -0.0293 & 0.0068 \\ \hline 18 & 11 & -0.0031 & 0.0623 & -0.0193 & -0.0012 & 0.0124 & 0.0070 & 0.0085 & 0.0505 & 0.0205 & 0.0178 & 0.0063 \\ \hline 18 & 12 & -0.0020 & 0.0080 & -0.0148 & -0.0109 & 0.0093 & 0.0006 & -0.0004 & 0.0371 & 0.0227 & 0.0183 & 0.0059 \\ \hline 19 & 1 & -0.0415 & -0.0308 & -0.0139 & -0.0575 & -0.0752 & -0.0191 & -0.0244 & -0.0370 & -0.0677 & -0.0701 & 0.0059 \\ \hline 19 & 2 & -0.0070 & 0.0111 & 0.0133 & 0.0080 & 0.0205 & -0.0012 & -0.0021 & -0.0696 & 0.0134 & 0.0149 & 0.0058 \\ \hline 19 & 3 & 0.0100 & -0.0497 & 0.0184 & 0.0165 & 0.0254 & -0.0011 & -0.0017 & -0.1040 & 0.0266 & 0.0241 & 0.0064 \\ \hline 19 & 4 & -0.0174 & -0.0269 & -0.0234 & -0.0297 & -0.0314 & -0.0191 & -0.0174 & -0.0077 & -0.0245 & -0.0283 & 0.0068 \\ \hline 19 & 5 & -0.0008 & 0.0021 & 0.0116 & 0.0413 & 0.0786 & 0.0385 & 0.0328 & 0.1144 & 0.0974 & 0.0889 & 0.0064 \\ \hline 19 & 6 & 0.0173 & -0.0374 & 0.0083 & 0.0092 & -0.0015 & 0.0216 & 0.0178 & -0.0086 & -0.0068 & -0.0042 & 0.0059 \\ \hline 19 & 7 & -0.0091 & -0.0004 & -0.0212 & -0.0393 & -0.0227 & 0.0102 & 0.0119 & 0.0143 & -0.0045 & -0.0094 & 0.0067 \\ \hline 19 & 8 & -0.0720 & 0.0349 & -0.0955 & -0.1266 & -0.1055 & -0.0292 & -0.0258 & -0.0968 & -0.0908 & -0.0919 & 0.0062 \\ \hline 19 & 9 & -0.0707 & -0.0480 & -0.0646 & -0.0860 & -0.0704 & 0.0091 & 0.0092 & -0.1391 & -0.0490 & -0.0538 & 0.0060 \\ \hline 19 & 10 & -0.0337 & -0.0698 & -0.0713 & -0.0597 & -0.0316 & 0.0132 & 0.0190 & 0.1561 & -0.0036 & -0.0125 & 0.0066 \\ \hline 19 & 11 & 0.0710 & -0.0187 & -0.0256 & 0.0314 & 0.0719 & 0.0285 & 0.0301 & -0.0587 & 0.0646 & 0.0657 & 0.0057 \\ \hline 19 & 12 & -0.0030 & -0.0177 & -0.0209 & 0.0041 & 0.0351 & 0.0167 & 0.0194 & 0.0166 & 0.0280 & 0.0295 & 0.0060 \\ \hline 20 & 1 & 0.1094 & -0.0133 & 0.0958 & 0.0778 & 0.0665 & 0.0150 & 0.0101 & 0.0326 & 0.0450 & 0.0491 & 0.0046 \\ \hline 20 & 2 & 0.0181 & -0.0626 & 0.1541 & 0.1326 & 0.0887 & 0.0121 & 0.0064 & 0.1075 & 0.0716 & 0.0758 & 0.0048 \\ \hline 20 & 3 & 0.0867 & 0.0352 & 0.0996 & 0.0791 & 0.0445 & 0.0108 & 0.0042 & -0.0598 & 0.0244 & 0.0289 & 0.0044 \\ \hline 20 & 4 & 0.0253 & -0.0067 & 0.0547 & 0.0128 & 0.0052 & 0.0138 & 0.0095 & 0.0101 & 0.0023 & 0.0033 & 0.0053 \\ \hline 20 & 5 & 0.0111 & -0.0031 & 0.0230 & 0.0280 & 0.0431 & 0.0039 & 0.0044 & 0.0107 & 0.0429 & 0.0407 & 0.0045 \\ \hline 20 & 6 & -0.0279 & 0.0208 & -0.0233 & -0.0425 & -0.0414 & -0.0018 & -0.0061 & -0.0732 & -0.0454 & -0.0440 & 0.0042 \\ \hline 20 & 7 & 0.0202 & -0.0074 & 0.0199 & 0.0352 & 0.0458 & 0.0167 & 0.0132 & 0.0494 & 0.0465 & 0.0468 & 0.0048 \\ \hline 20 & 8 & -0.0040 & -0.0687 & 0.0215 & 0.0357 & 0.0308 & 0.0275 & 0.0259 & -0.0201 & 0.0239 & 0.0268 & 0.0046 \\ \hline 20 & 9 & 0.0245 & -0.0001 & 0.0197 & 0.0152 & -0.0036 & 0.0271 & 0.0311 & 0.0567 & -0.0169 & -0.0110 & 0.0046 \\ \hline 20 & 10 & -0.0110 & 0.0269 & 0.0297 & 0.0347 & 0.0200 & 0.0043 & 0.0060 & 0.0144 & 0.0135 & 0.0178 & 0.0042 \\ \hline 20 & 11 & -0.0056 & -0.0076 & 0.0043 & -0.0355 & -0.0420 & 0.0106 & 0.0083 & -0.0464 & -0.0402 & -0.0373 & 0.0039 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 13 & 6 & 0.0000 & -0.0159 & -0.0127 & 0.0124 & 0.0263 & 0.0199 & 0.0149 & -0.0009 & 0.0229 & 0.0234 & 0.0075 \\ \hline 13 & 7 & -0.0169 & -0.1172 & -0.0639 & -0.0477 & -0.0310 & 0.0586 & 0.0646 & -0.0638 & -0.0138 & -0.0206 & 0.0088 \\ \hline 13 & 8 & 0.0418 & 0.0070 & 0.0536 & 0.0810 & 0.1172 & 0.0307 & 0.0141 & 0.0851 & 0.1124 & 0.1127 & 0.0080 \\ \hline 13 & 9 & 0.0708 & -0.0449 & -0.0006 & 0.0036 & -0.0022 & 0.0314 & 0.0278 & -0.0085 & -0.0001 & 0.0004 & 0.0083 \\ \hline 13 & 10 & 0.0209 & -0.0093 & -0.0371 & -0.0196 & -0.0042 & 0.0572 & 0.0539 & 0.0254 & 0.0033 & -0.0001 & 0.0098 \\ \hline 13 & 11 & 0.0202 & 0.0137 & -0.0413 & -0.0298 & -0.0124 & 0.0212 & 0.0181 & 0.0041 & -0.0098 & -0.0107 & 0.0073 \\ \hline 13 & 12 & 0.0200 & -0.0918 & -0.0093 & 0.0042 & 0.0242 & 0.0128 & 0.0088 & 0.0204 & 0.0256 & 0.0237 & 0.0069 \\ \hline 14 & 1 & 0.0488 & -0.0766 & 0.1155 & 0.1366 & 0.1025 & 0.0325 & 0.0332 & 0.0228 & 0.0769 & 0.0857 & 0.0065 \\ \hline 14 & 2 & 0.0273 & -0.0142 & 0.0763 & 0.0375 & 0.0185 & -0.0373 & -0.0346 & -0.0056 & 0.0142 & 0.0169 & 0.0060 \\ \hline 14 & 3 & 0.0157 & -0.0106 & -0.0117 & -0.0151 & -0.0100 & 0.0179 & 0.0249 & 0.0779 & -0.0006 & -0.0017 & 0.0062 \\ \hline 14 & 4 & 0.0094 & 0.0688 & -0.0193 & -0.0101 & -0.0045 & 0.0296 & 0.0240 & -0.0031 & -0.0037 & -0.0022 & 0.0076 \\ \hline 14 & 5 & 0.0310 & -0.0376 & -0.0027 & 0.0224 & 0.0483 & 0.0820 & 0.0678 & 0.0428 & 0.0627 & 0.0558 & 0.0061 \\ \hline 14 & 6 & 0.0204 & -0.0138 & -0.0188 & 0.0101 & 0.0193 & 0.0083 & 0.0098 & 0.0260 & 0.0161 & 0.0271 & 0.0055 \\ \hline 14 & 7 & 0.0193 & -0.0040 & 0.0213 & 0.0255 & 0.0101 & -0.0121 & -0.0095 & 0.0520 & -0.0033 & -0.0003 & 0.0062 \\ \hline 14 & 8 & -0.0245 & 0.0714 & 0.0012 & -0.0021 & -0.0059 & 0.0260 & 0.0258 & 0.0324 & -0.0065 & -0.0048 & 0.0058 \\ \hline 14 & 9 & -0.0203 & -0.0239 & -0.0671 & -0.0611 & -0.0468 & 0.0071 & 0.0048 & 0.0588 & -0.0333 & -0.0398 & 0.0060 \\ \hline 14 & 10 & 0.0282 & 0.0248 & -0.0121 & 0.0279 & 0.0426 & 0.0329 & 0.0264 & 0.0683 & 0.0451 & 0.0444 & 0.0060 \\ \hline 14 & 11 & -0.0044 & 0.0022 & 0.0367 & 0.0539 & 0.0694 & 0.0370 & 0.0280 & 0.0414 & 0.0719 & 0.0692 & 0.0062 \\ \hline 14 & 12 & 0.0275 & -0.0194 & 0.0101 & 0.0367 & 0.0404 & 0.0469 & 0.0463 & 0.0477 & 0.0482 & 0.0431 & 0.0061 \\ \hline 15 & 1 & 0.0443 & 0.0616 & 0.0719 & 0.0397 & 0.0133 & 0.0045 & 0.0039 & 0.0254 & 0.0047 & 0.0098 & 0.0049 \\ \hline 15 & 2 & 0.0206 & -0.0086 & 0.0435 & 0.0599 & 0.0738 & 0.0752 & 0.0648 & 0.1111 & 0.0765 & 0.0725 & 0.0053 \\ \hline 15 & 3 & 0.0666 & 0.0313 & 0.0465 & 0.0435 & 0.0520 & 0.0256 & 0.0573 & 0.1409 & 0.0558 & 0.0539 & 0.0060 \\ \hline 15 & 4 & -0.0017 & -0.0251 & 0.0191 & 0.0145 & 0.0053 & 0.0016 & 0.0066 & 0.0657 & -0.0133 & -0.0079 & 0.0053 \\ \hline 15 & 5 & -0.0170 & -0.0135 & 0.0387 & 0.0341 & 0.0464 & -0.0164 & -0.0380 & -0.0442 & 0.0553 & 0.0508 & 0.0049 \\ \hline 15 & 6 & 0.0512 & 0.0142 & 0.0051 & 0.0069 & 0.0125 & 0.0218 & 0.0561 & 0.0684 & 0.0157 & 0.0142 & 0.0052 \\ \hline 15 & 7 & -0.0052 & 0.0050 & -0.0756 & -0.0792 & -0.0729 & 0.0031 & 0.0068 & 0.0619 & -0.0575 & -0.0597 & 0.0050 \\ \hline 15 & 8 & 0.0332 & 0.1092 & -0.0054 & 0.0093 & 0.0501 & 0.0275 & 0.0336 & 0.0988 & 0.0744 & 0.0662 & 0.0046 \\ \hline 15 & 9 & -0.0082 & 0.0941 & -0.0671 & -0.0665 & -0.0710 & -0.0114 & -0.0275 & -0.0100 & -0.0832 & -0.0790 & 0.0048 \\ \hline 15 & 10 & 0.0225 & -0.0086 & 0.0080 & 0.0248 & 0.0417 & 0.0189 & 0.0143 & -0.0666 & 0.0565 & 0.0493 & 0.0042 \\ \hline 15 & 11 & -0.0070 & -0.0672 & -0.0192 & -0.0081 & 0.0048 & 0.0233 & 0.0121 & 0.0579 & 0.0249 & 0.0151 & 0.0039 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 30 & 12 & 0.0244 & 0.0745 & 0.0513 & 0.0575 & 0.0457 & -0.0090 & -0.0174 & 0.0060 & 0.0091 & 0.0178 & 0.0015 \\ \hline 31 & 1 & 0.0020 & -0.0549 & 0.0684 & 0.0050 & -0.0154 & 0.0175 & 0.0046 & -0.0531 & -0.0143 & -0.0161 & 0.0014 \\ \hline 31 & 2 & 0.0193 & 0.0650 & -0.0360 & -0.0363 & -0.0238 & 0.0130 & 0.0120 & 0.0071 & -0.0195 & -0.0217 & 0.0013 \\ \hline 31 & 3 & 0.0600 & 0.0365 & 0.0743 & 0.0731 & 0.0622 & -0.0295 & -0.0368 & 0.0546 & 0.0376 & 0.0447 & 0.0013 \\ \hline 31 & 4 & 0.0085 & -0.0015 & 0.0137 & 0.0134 & -0.0232 & 0.0253 & 0.0294 & 0.0072 & -0.0610 & -0.0496 & 0.0015 \\ \hline 31 & 5 & 0.0135 & 0.0640 & 0.0033 & -0.0119 & -0.0238 & 0.0113 & 0.0081 & 0.0136 & -0.0078 & -0.0105 & 0.0014 \\ \hline 31 & 6 & 0.0273 & -0.0314 & -0.0444 & -0.0311 & -0.0643 & 0.0073 & 0.0216 & -0.0394 & -0.0714 & -0.0702 & 0.0013 \\ \hline 31 & 7 & -0.0523 & -0.0365 & -0.0900 & -0.1170 & -0.1014 & 0.0094 & 0.0308 & -0.0986 & -0.0740 & -0.0811 & 0.0015 \\ \hline 31 & 8 & -0.0020 & 0.0220 & 0.0099 & 0.0023 & 0.0104 & 0.0452 & 0.0302 & -0.0020 & 0.0070 & 0.0080 & 0.0014 \\ \hline 31 & 9 & -0.0384 & 0.0148 & -0.0343 & -0.0598 & -0.0859 & 0.0330 & 0.0469 & -0.1071 & -0.1090 & -0.1000 & 0.0014 \\ \hline 31 & 10 & -0.0481 & -0.0072 & 0.0017 & 0.0126 & 0.0448 & -0.0240 & -0.0202 & 0.0538 & 0.0886 & 0.0750 & 0.0013 \\ \hline 31 & 11 & 0.0471 & -0.0008 & 0.0303 & 0.0658 & 0.0678 & 0.0103 & -0.0212 & 0.0455 & 0.0590 & 0.0613 & 0.0012 \\ \hline 31 & 12 & 0.0074 & 0.0750 & 0.0342 & -0.0184 & -0.0448 & 0.0361 & 0.0360 & -0.0335 & -0.0588 & -0.0533 & 0.0011 \\ \hline 32 & 1 & -0.0291 & 0.0479 & 0.0472 & -0.0080 & -0.0220 & 0.0021 & -0.0083 & -0.0417 & -0.0266 & -0.0234 & 0.0009 \\ \hline 32 & 2 & 0.0165 & -0.0362 & -0.0122 & -0.0227 & -0.0216 & 0.0264 & 0.0262 & -0.0229 & -0.0153 & -0.0154 & 0.0009 \\ \hline 32 & 3 & 0.0200 & -0.0409 & 0.0074 & 0.0136 & 0.0117 & -0.0080 & -0.0057 & -0.0189 & 0.0103 & 0.0103 & 0.0010 \\ \hline 32 & 4 & 0.0440 & -0.0070 & 0.0890 & 0.0945 & 0.0897 & 0.0229 & -0.0001 & 0.1014 & 0.0828 & 0.0828 & 0.0009 \\ \hline 32 & 5 & 0.0604 & 0.0377 & 0.1665 & 0.1284 & 0.0839 & 0.0471 & 0.0425 & 0.0648 & 0.0533 & 0.0635 & 0.0009 \\ \hline 32 & 6 & 0.0218 & 0.0009 & 0.0753 & 0.0436 & 0.0186 & -0.0143 & -0.0091 & 0.0192 & 0.0128 & 0.0163 & 0.0010 \\ \hline 32 & 7 & 0.0535 & 0.0552 & 0.0868 & 0.0679 & 0.0321 & -0.0881 & -0.0668 & 0.0151 & 0.0179 & 0.0231 & 0.0007 \\ \hline 32 & 8 & 0.0054 & 0.0275 & 0.0544 & 0.0418 & 0.0382 & 0.0219 & 0.0047 & 0.0329 & 0.0196 & 0.0249 & 0.0007 \\ \hline 32 & 9 & 0.0340 & 0.0058 & 0.0570 & 0.0185 & 0.0124 & 0.0503 & 0.0468 & 0.0302 & -0.0107 & -0.0091 & 0.0009 \\ \hline 32 & 10 & 0.0181 & 0.0135 & 0.1098 & 0.0888 & 0.0685 & -0.0203 & -0.0244 & 0.0650 & 0.0556 & 0.0603 & 0.0007 \\ \hline 32 & 11 & 0.0436 & 0.0435 & 0.0527 & 0.0390 & 0.0275 & 0.0052 & 0.0017 & 0.0253 & 0.0093 & 0.0166 & 0.0007 \\ \hline 32 & 12 & 0.0350 & 0.0730 & 0.0231 & 0.0273 & 0.0336 & 0.0139 & 0.0103 & 0.0872 & 0.0518 & 0.0455 & 0.0008 \\ \hline 33 & 1 & 0.0433 & 0.0068 & 0.1115 & 0.0566 & 0.0294 & 0.0187 & 0.0130 & 0.0114 & 0.0191 & 0.0231 & 0.0007 \\ \hline 33 & 2 & 0.0175 & 0.0365 & 0.0049 & 0.0082 & 0.0162 & 0.0178 & 0.0175 & 0.0229 & 0.0144 & 0.0155 & 0.0006 \\ \hline 33 & 3 & 0.0553 & 0.0866 & 0.0126 & 0.0014 & 0.0010 & 0.0118 & 0.0144 & 0.0009 & -0.0150 & -0.0107 & 0.0008 \\ \hline 33 & 4 & -0.1458 & -0.1569 & -0.0314 & -0.0559 & -0.0399 & -0.0534 & -0.0491 & -0.0340 & -0.0156 & -0.0242 & 0.0008 \\ \hline 33 & 5 & 0.0713 & 0.0176 & -0.0100 & -0.0018 & 0.0188 & -0.0071 & -0.0067 & 0.0114 & 0.0137 & 0.0141 & 0.0006 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 20 & 12 & 0.0715 & -0.0252 & 0.0027 & 0.0546 & 0.1032 & 0.0436 & 0.0544 & 0.0520 & 0.1141 & 0.1068 & 0.0038 \\ \hline 21 & 1 & 0.0487 & -0.0014 & 0.2616 & 0.1218 & 0.0383 & -0.0173 & -0.0245 & -0.0211 & -0.0184 & -0.0012 & 0.0031 \\ \hline 21 & 2 & -0.0239 & 0.0127 & 0.0929 & 0.0403 & 0.0157 & 0.0096 & 0.0089 & -0.0355 & 0.0129 & 0.0133 & 0.0028 \\ \hline 21 & 3 & -0.0166 & -0.0181 & 0.0000 & -0.0240 & -0.0291 & -0.0073 & -0.0075 & -0.0657 & -0.0195 & -0.0237 & 0.0034 \\ \hline 21 & 4 & -0.0036 & -0.0240 & -0.0529 & -0.0483 & -0.0110 & 0.0016 & 0.0039 & 0.0050 & 0.0286 & 0.0134 & 0.0033 \\ \hline 21 & 5 & 0.0437 & 0.0110 & 0.0047 & 0.0005 & 0.0079 & 0.0254 & 0.0213 & 0.0672 & 0.0049 & 0.0064 & 0.0028 \\ \hline 21 & 6 & -0.0131 & 0.0093 & -0.0399 & -0.0479 & -0.0254 & 0.0156 & 0.0200 & -0.0471 & -0.0150 & -0.0193 & 0.0032 \\ \hline 21 & 7 & 0.0434 & 0.0117 & 0.0147 & 0.0311 & 0.0377 & 0.0308 & 0.0357 & -0.0253 & 0.0409 & 0.0399 & 0.0029 \\ \hline 21 & 8 & 0.0031 & -0.0489 & -0.0397 & -0.0259 & -0.0235 & 0.0090 & 0.0098 & 0.0631 & -0.0206 & -0.0208 & 0.0026 \\ \hline 21 & 9 & 0.0206 & -0.0003 & 0.0043 & 0.0166 & 0.0180 & 0.0099 & 0.0198 & -0.0194 & 0.0113 & 0.0124 & 0.0026 \\ \hline 21 & 10 & -0.0013 & -0.0104 & 0.0049 & 0.0197 & 0.0227 & -0.0156 & -0.0175 & -0.0522 & 0.0048 & 0.0110 & 0.0023 \\ \hline 21 & 11 & 0.0212 & -0.0107 & 0.0730 & 0.0751 & 0.0554 & 0.0069 & -0.0035 & 0.0097 & 0.0338 & 0.0402 & 0.0023 \\ \hline 21 & 12 & 0.0180 & 0.0014 & 0.0380 & 0.0437 & 0.0280 & 0.0228 & 0.0224 & 0.0055 & 0.0134 & 0.0178 & 0.0023 \\ \hline 22 & 1 & 0.0642 & -0.0170 & 0.1128 & 0.0582 & 0.0214 & 0.0250 & 0.0278 & 0.0002 & 0.0073 & 0.0126 & 0.0023 \\ \hline 22 & 2 & 0.0538 & -0.0070 & -0.0030 & -0.0220 & -0.0057 & 0.0256 & 0.0267 & 0.0305 & 0.0135 & 0.0054 & 0.0022 \\ \hline 22 & 3 & 0.0847 & -0.0069 & 0.0294 & 0.0258 & 0.0296 & 0.0025 & 0.0053 & 0.0875 & 0.0212 & 0.0251 & 0.0025 \\ \hline 22 & 4 & -0.0440 & 0.0583 & -0.0022 & -0.0202 & -0.0235 & 0.0052 & 0.0078 & 0.0952 & -0.0245 & -0.0254 & 0.0024 \\ \hline 22 & 5 & -0.0158 & 0.0759 & 0.0442 & 0.0339 & 0.0364 & 0.0020 & -0.0006 & 0.0214 & 0.0263 & 0.0296 & 0.0022 \\ \hline 22 & 6 & 0.0324 & -0.0046 & 0.0278 & 0.0066 & 0.0063 & 0.0293 & 0.0321 & -0.0154 & 0.0035 & 0.0054 & 0.0028 \\ \hline 22 & 7 & 0.0175 & 0.0899 & 0.0181 & 0.0146 & 0.0055 & 0.0100 & 0.0044 & 0.0352 & -0.0046 & -0.0008 & 0.0024 \\ \hline 22 & 8 & 0.0247 & -0.0433 & 0.0299 & 0.0419 & 0.0425 & 0.0287 & 0.0251 & 0.0542 & 0.0374 & 0.0395 & 0.0025 \\ \hline 22 & 9 & 0.0488 & -0.0936 & 0.0431 & 0.0295 & 0.0127 & 0.0043 & 0.0080 & -0.0223 & -0.0076 & 0.0006 & 0.0024 \\ \hline 22 & 10 & -0.0191 & 0.0272 & 0.0514 & 0.0421 & 0.0146 & 0.0051 & 0.0041 & 0.0310 & 0.0199 & 0.0181 & 0.0022 \\ \hline 22 & 11 & -0.0542 & 0.0265 & -0.0299 & -0.0394 & -0.0264 & -0.0188 & -0.0180 & -0.0872 & -0.0087 & -0.0176 & 0.0025 \\ \hline 22 & 12 & -0.0017 & 0.0520 & -0.0090 & 0.0220 & 0.0311 & 0.0067 & 0.0051 & 0.0724 & 0.0126 & 0.0195 & 0.0023 \\ \hline 23 & 1 & 0.0291 & 0.0130 & 0.0606 & 0.0460 & 0.0297 & 0.0202 & 0.0174 & 0.0848 & 0.0334 & 0.0315 & 0.0025 \\ \hline 23 & 2 & 0.0434 & 0.0058 & -0.0043 & -0.0156 & -0.0168 & -0.0286 & -0.0313 & -0.0026 & -0.0272 & -0.0242 & 0.0021 \\ \hline 23 & 3 & -0.0370 & 0.0182 & -0.0348 & -0.0560 & -0.0530 & -0.0383 & -0.0385 & -0.0429 & -0.0435 & -0.0458 & 0.0025 \\ \hline 23 & 4 & 0.0170 & -0.0179 & -0.0285 & -0.0135 & 0.0052 & -0.0097 & -0.0098 & 0.0427 & 0.0128 & 0.0095 & 0.0027 \\ \hline 23 & 5 & 0.0223 & 0.0150 & 0.0042 & -0.0034 & -0.0013 & -0.0062 & -0.0014 & -0.0055 & 0.0163 & 0.0094 & 0.0032 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 33 & 6 & 0.0293 & -0.0374 & 0.0089 & 0.0304 & 0.0297 & 0.0093 & 0.0101 & 0.0337 & 0.0195 & 0.0216 & 0.0008 \\ \hline 33 & 7 & 0.0033 & 0.0562 & -0.0554 & -0.0553 & -0.0459 & 0.0184 & 0.0121 & -0.0428 & -0.0329 & -0.0377 & 0.0009 \\ \hline 33 & 8 & 0.0794 & 0.0482 & -0.0148 & -0.0024 & -0.0002 & 0.0395 & 0.0322 & 0.0120 & 0.0038 & 0.0027 & 0.0011 \\ \hline 33 & 9 & -0.0006 & 0.0094 & 0.0362 & 0.0472 & 0.0346 & 0.0101 & 0.0028 & 0.0207 & 0.0108 & 0.0206 & 0.0012 \\ \hline 33 & 10 & 0.0536 & 0.0083 & 0.0135 & 0.0189 & 0.0206 & 0.0164 & 0.0111 & 0.0351 & 0.0150 & 0.0178 & 0.0011 \\ \hline 33 & 11 & 0.0430 & 0.0543 & 0.0714 & 0.0816 & 0.0630 & -0.0200 & -0.0177 & 0.0608 & 0.0406 & 0.0482 & 0.0015 \\ \hline 33 & 12 & 0.0485 & -0.0516 & 0.0700 & 0.0390 & 0.0340 & 0.0257 & 0.0134 & 0.0481 & 0.0337 & 0.0352 & 0.0017 \\ \hline 34 & 1 & -0.0840 & -0.0110 & -0.0430 & -0.0286 & -0.0286 & 0.0277 & 0.0300 & -0.0186 & -0.0253 & -0.0238 & 0.0016 \\ \hline 34 & 2 & 0.0272 & 0.0389 & 0.0262 & 0.0373 & 0.0232 & -0.0112 & -0.0128 & 0.0384 & 0.0189 & 0.0212 & 0.0016 \\ \hline 34 & 3 & -0.0168 & -0.0139 & -0.0251 & -0.0116 & -0.0158 & -0.0125 & -0.0072 & -0.0268 & -0.0191 & -0.0172 & 0.0021 \\ \hline 34 & 4 & 0.0598 & -0.0081 & -0.0435 & -0.0369 & -0.0218 & 0.0327 & 0.0373 & -0.0158 & -0.0201 & -0.0189 & 0.0021 \\ \hline 34 & 5 & 0.0356 & 0.0088 & 0.0617 & 0.0554 & 0.0390 & 0.0295 & 0.0297 & -0.0076 & 0.0300 & 0.0317 & 0.0024 \\ \hline 34 & 6 & 0.0459 & 0.0061 & 0.0373 & 0.0288 & 0.0047 & 0.0141 & 0.0167 & 0.0137 & -0.0001 & 0.0017 & 0.0023 \\ \hline 34 & 7 & 0.0714 & 0.0123 & 0.0594 & 0.0517 & 0.0360 & -0.0244 & -0.0288 & 0.0280 & 0.0360 & 0.0374 & 0.0024 \\ \hline 34 & 8 & -0.0405 & -0.0185 & -0.0191 & -0.0037 & -0.0106 & 0.0233 & 0.0333 & 0.0384 & -0.0112 & -0.0092 & 0.0030 \\ \hline 34 & 9 & 0.0130 & 0.0728 & 0.0092 & 0.0153 & 0.0096 & -0.0310 & -0.0338 & 0.0363 & 0.0069 & 0.0080 & 0.0029 \\ \hline 34 & 10 & -0.0288 & 0.0040 & -0.0385 & -0.0346 & -0.0162 & -0.0204 & -0.0196 & -0.0297 & -0.0177 & -0.0156 & 0.0027 \\ \hline 34 & 11 & 0.0416 & 0.0696 & 0.0549 & 0.0515 & 0.0385 & 0.0099 & 0.0076 & 0.0213 & 0.0352 & 0.0384 & 0.0021 \\ \hline 34 & 12 & 0.0006 & 0.0326 & -0.0019 & 0.0131 & 0.0038 & 0.0225 & 0.0267 & 0.0532 & -0.0010 & -0.0001 & 0.0022 \\ \hline 35 & 1 & 0.0000 & 0.0522 & 0.2465 & 0.1224 & 0.0461 & -0.0033 & -0.0099 & 0.0582 & 0.0191 & 0.0284 & 0.0019 \\ \hline 35 & 2 & 0.0174 & 0.0498 & 0.0761 & 0.0422 & 0.0318 & 0.0107 & 0.0028 & 0.0656 & 0.0302 & 0.0313 & 0.0017 \\ \hline 35 & 3 & -0.0032 & -0.0010 & -0.0237 & -0.0062 & 0.0092 & 0.0024 & 0.0006 & 0.0330 & 0.0073 & 0.0087 & 0.0026 \\ \hline 35 & 4 & 0.0384 & 0.0120 & -0.0021 & 0.0013 & 0.0050 & 0.0035 & 0.0093 & 0.0240 & 0.0055 & 0.0055 & 0.0026 \\ \hline 35 & 5 & -0.0937 & 0.1113 & -0.0390 & -0.0307 & 0.0046 & 0.0163 & 0.0063 & 0.0325 & 0.0220 & 0.0164 & 0.0028 \\ \hline 35 & 6 & 0.0998 & 0.1340 & -0.0308 & -0.0396 & -0.0235 & -0.0068 & -0.0013 & -0.0265 & -0.0202 & -0.0209 & 0.0027 \\ \hline 35 & 7 & 0.0580 & 0.0526 & -0.0307 & -0.0371 & -0.0174 & 0.0030 & 0.0038 & 0.0540 & 0.0032 & -0.0043 & 0.0031 \\ \hline 35 & 8 & -0.0134 & 0.0183 & -0.0124 & -0.0030 & 0.0263 & 0.0072 & 0.0045 & 0.0112 & 0.0394 & 0.0360 & 0.0029 \\ \hline 35 & 9 & 0.0386 & -0.0256 & -0.0364 & -0.0394 & -0.0169 & 0.0031 & 0.0007 & -0.0325 & -0.0033 & -0.0077 & 0.0025 \\ \hline 35 & 10 & -0.0232 & -0.0140 & -0.0327 & -0.0217 & 0.0004 & 0.0101 & 0.0181 & 0.0106 & 0.0109 & 0.0087 & 0.0029 \\ \hline 35 & 11 & -0.0131 & -0.0324 & 0.0137 & 0.0472 & 0.0537 & 0.0249 & 0.0146 & 0.0659 & 0.0503 & 0.0498 & 0.0027 \\ \hline 35 & 12 & -0.0154 & 0.0135 & -0.0345 & -0.0185 & -0.0003 & -0.0004 & -0.0015 & 0.0332 & 0.0137 & 0.0112 & 0.0032 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 3 & 6 & 0.0156 & -0.0639 & 0.0319 & 0.0315 & -0.0317 & -0.0285 & -0.0041 & -0.0451 & -0.0128 & -0.0229 & 0.0069 \\ \hline 3 & 7 & -0.0765 & -0.0797 & -0.0553 & -0.0538 & -0.0548 & -0.0211 & -0.0131 & -0.0505 & -0.0767 & -0.0709 & 0.0068 \\ \hline 3 & 8 & -0.0754 & 0.0686 & -0.0746 & -0.0814 & -0.0925 & -0.0268 & -0.0099 & -0.1028 & -0.0822 & -0.0878 & 0.0059 \\ \hline 3 & 9 & -0.0048 & -0.0302 & -0.0767 & -0.0799 & -0.0931 & 0.0174 & 0.0301 & -0.0723 & -0.1175 & -0.1097 & 0.0080 \\ \hline 3 & 10 & 0.0429 & 0.0360 & 0.0423 & 0.0826 & 0.1340 & 0.0895 & 0.0357 & 0.0092 & 0.1681 & 0.1656 & 0.0053 \\ \hline 3 & 11 & -0.0535 & 0.1352 & -0.0537 & -0.0579 & -0.0383 & 0.0117 & 0.0232 & 0.0321 & -0.0457 & -0.0410 & 0.0051 \\ \hline 3 & 12 & -0.0161 & 0.0043 & -0.1126 & -0.0759 & -0.0425 & -0.0075 & 0.0129 & -0.0099 & -0.0180 & -0.0270 & 0.0070 \\ \hline 4 & 1 & 0.1408 & -0.0449 & 0.3798 & 0.3135 & 0.1986 & 0.0596 & 0.0087 & 0.1787 & 0.1236 & 0.1416 & 0.0054 \\ \hline 4 & 2 & 0.0243 & 0.0473 & 0.0554 & 0.0334 & 0.0494 & 0.0137 & 0.0100 & 0.1321 & 0.0675 & 0.0584 & 0.0043 \\ \hline 4 & 3 & 0.0282 & 0.0040 & 0.1060 & 0.0861 & 0.0455 & -0.0247 & -0.0034 & -0.0105 & 0.0240 & 0.0302 & 0.0040 \\ \hline 4 & 4 & 0.0275 & -0.0247 & 0.0114 & 0.0286 & 0.0428 & -0.0052 & -0.0092 & 0.0474 & 0.0494 & 0.0465 & 0.0045 \\ \hline 4 & 5 & -0.0137 & 0.0061 & 0.0740 & 0.0799 & 0.0592 & 0.0106 & 0.0060 & -0.0074 & 0.0512 & 0.0551 & 0.0049 \\ \hline 4 & 6 & 0.0625 & -0.0241 & 0.0678 & 0.0771 & 0.0552 & 0.0304 & 0.0015 & -0.0388 & 0.0462 & 0.0515 & 0.0041 \\ \hline 4 & 7 & -0.0153 & 0.0543 & 0.0142 & -0.0214 & -0.0483 & -0.0030 & -0.0019 & -0.0410 & -0.0655 & -0.0604 & 0.0048 \\ \hline 4 & 8 & -0.0153 & 0.0503 & -0.0626 & -0.0614 & -0.0320 & -0.0175 & -0.0064 & -0.0013 & -0.0157 & -0.0236 & 0.0048 \\ \hline 4 & 9 & -0.0631 & -0.0834 & -0.0472 & -0.0369 & -0.0371 & -0.0126 & -0.0273 & -0.0453 & -0.0323 & -0.0380 & 0.0056 \\ \hline 4 & 10 & -0.0245 & -0.0509 & -0.0080 & 0.0180 & 0.0458 & 0.0553 & 0.0172 & 0.0864 & 0.0649 & 0.0559 & 0.0052 \\ \hline 4 & 11 & 0.0169 & -0.0049 & 0.0097 & 0.0204 & 0.0303 & -0.0088 & 0.0115 & 0.0239 & 0.0301 & 0.0312 & 0.0041 \\ \hline 4 & 12 & 0.0232 & -0.0397 & -0.0085 & -0.0103 & -0.0072 & 0.0442 & 0.0328 & 0.0216 & -0.0105 & -0.0110 & 0.0050 \\ \hline 5 & 1 & 0.1368 & -0.0006 & 0.2226 & 0.2018 & 0.1470 & 0.0188 & 0.0353 & 0.0530 & 0.1201 & 0.1260 & 0.0044 \\ \hline 5 & 2 & 0.0593 & 0.0006 & 0.1753 & 0.1100 & 0.0381 & 0.0061 & -0.0003 & -0.0075 & -0.0058 & 0.0073 & 0.0035 \\ \hline 5 & 3 & 0.0041 & 0.0234 & 0.0183 & 0.0100 & 0.0196 & 0.0167 & 0.0039 & -0.0168 & 0.0326 & 0.0268 & 0.0043 \\ \hline 5 & 4 & 0.0185 & 0.0906 & 0.0047 & -0.0149 & -0.0097 & -0.0015 & -0.0026 & -0.0045 & -0.0096 & -0.0104 & 0.0044 \\ \hline 5 & 5 & -0.0280 & 0.0157 & -0.0367 & -0.0225 & -0.0121 & -0.0103 & -0.0003 & -0.0270 & -0.0081 & -0.0094 & 0.0041 \\ \hline 5 & 6 & 0.0399 & 0.0534 & 0.0080 & 0.0257 & 0.0448 & 0.0150 & 0.0146 & 0.0198 & 0.0440 & 0.0445 & 0.0044 \\ \hline 5 & 7 & 0.0251 & 0.0124 & 0.0047 & -0.0012 & -0.0043 & 0.0149 & 0.0060 & -0.0117 & -0.0072 & -0.0062 & 0.0044 \\ \hline 5 & 8 & 0.0370 & -0.0956 & -0.0269 & -0.0179 & -0.0093 & 0.0231 & 0.0092 & 0.0007 & 0.0016 & -0.0014 & 0.0047 \\ \hline 5 & 9 & 0.0100 & -0.0114 & 0.0059 & 0.0237 & 0.0268 & 0.0167 & 0.0215 & -0.0172 & 0.0244 & 0.0245 & 0.0039 \\ \hline 5 & 10 & 0.0116 & -0.0536 & -0.0266 & -0.0193 & -0.0221 & 0.0070 & 0.0182 & -0.0637 & -0.0202 & -0.0204 & 0.0041 \\ \hline 5 & 11 & 0.0332 & 0.0096 & 0.0128 & 0.0343 & 0.0235 & 0.0319 & 0.0243 & 0.0123 & -0.0010 & 0.0054 & 0.0044 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 5 & 12 & 0.0664 & -0.0133 & 0.1103 & 0.1002 & 0.0767 & 0.0347 & 0.0380 & 0.1126 & 0.0538 & 0.0616 & 0.0036 \\ \hline 6 & 1 & 0.0582 & 0.0335 & 0.0892 & 0.0406 & -0.0150 & -0.0303 & -0.0261 & -0.0058 & -0.0497 & -0.0363 & 0.0036 \\ \hline 6 & 2 & 0.0099 & 0.0243 & 0.0241 & -0.0031 & -0.0162 & -0.0020 & 0.0042 & 0.0222 & -0.0156 & -0.0158 & 0.0035 \\ \hline 6 & 3 & 0.0066 & 0.0382 & 0.0141 & 0.0100 & -0.0016 & 0.0094 & 0.0003 & 0.0033 & -0.0125 & -0.0092 & 0.0038 \\ \hline 6 & 4 & 0.0131 & -0.0371 & 0.0164 & 0.0173 & 0.0127 & 0.0100 & -0.0046 & 0.0294 & 0.0006 & 0.0050 & 0.0041 \\ \hline 6 & 5 & 0.0034 & -0.0303 & 0.0093 & 0.0005 & -0.0052 & 0.0106 & -0.0022 & -0.0040 & -0.0151 & -0.0108 & 0.0039 \\ \hline 6 & 6 & 0.0428 & -0.0531 & 0.0374 & 0.0591 & 0.0580 & 0.0175 & 0.0140 & 0.0225 & 0.0478 & 0.0514 & 0.0037 \\ \hline 6 & 7 & 0.0023 & -0.0226 & 0.0248 & 0.0116 & -0.0091 & -0.0005 & -0.0049 & -0.0149 & -0.0155 & -0.0128 & 0.0039 \\ \hline 6 & 8 & 0.0017 & -0.0299 & 0.0077 & -0.0021 & -0.0111 & 0.0136 & 0.0117 & 0.0443 & -0.0123 & -0.0134 & 0.0050 \\ \hline 6 & 9 & 0.0049 & 0.0193 & 0.0238 & 0.0147 & 0.0052 & -0.0022 & 0.0019 & 0.0299 & -0.0008 & 0.0016 & 0.0043 \\ \hline 6 & 10 & -0.0002 & 0.0386 & -0.0250 & -0.0238 & -0.0322 & -0.0038 & -0.0036 & 0.0252 & -0.0420 & -0.0393 & 0.0049 \\ \hline 6 & 11 & 0.0446 & 0.0164 & 0.0637 & 0.0847 & 0.0576 & 0.0061 & 0.0074 & -0.0083 & 0.0368 & 0.0454 & 0.0050 \\ \hline 6 & 12 & 0.0189 & 0.0200 & 0.0361 & 0.0229 & 0.0121 & -0.0105 & -0.0098 & 0.0374 & 0.0056 & 0.0082 & 0.0047 \\ \hline 7 & 1 & -0.0229 & 0.0589 & 0.0209 & -0.0104 & -0.0480 & -0.0089 & -0.0033 & 0.0131 & -0.0606 & -0.0552 & 0.0054 \\ \hline 7 & 2 & 0.0144 & 0.0228 & 0.0416 & 0.0291 & 0.0024 & 0.0051 & 0.0000 & 0.0118 & -0.0163 & -0.0093 & 0.0049 \\ \hline 7 & 3 & 0.0475 & 0.0246 & 0.0806 & 0.0714 & 0.0453 & 0.0042 & -0.0003 & 0.0731 & 0.0269 & 0.0340 & 0.0050 \\ \hline 7 & 4 & 0.0332 & -0.0328 & 0.0848 & 0.0791 & 0.0762 & -0.0023 & 0.0009 & -0.0070 & 0.0890 & 0.0828 & 0.0057 \\ \hline 7 & 5 & -0.0299 & 0.0200 & 0.0924 & 0.0672 & 0.0367 & -0.0108 & -0.0059 & 0.0208 & 0.0137 & 0.0232 & 0.0053 \\ \hline 7 & 6 & -0.0075 & 0.0252 & 0.0271 & 0.0013 & -0.0037 & 0.0023 & -0.0064 & 0.0454 & -0.0166 & -0.0108 & 0.0054 \\ \hline 7 & 7 & 0.0332 & 0.0028 & 0.0432 & 0.0569 & 0.0593 & 0.0101 & 0.0118 & 0.0874 & 0.0570 & 0.0567 & 0.0056 \\ \hline 7 & 8 & 0.0435 & 0.0426 & 0.1437 & 0.0897 & 0.0563 & 0.0257 & 0.0179 & 0.0206 & 0.0336 & 0.0424 & 0.0056 \\ \hline 7 & 9 & 0.0002 & -0.0003 & 0.0237 & -0.0094 & -0.0103 & -0.0048 & -0.0038 & 0.0301 & -0.0052 & -0.0069 & 0.0060 \\ \hline 7 & 10 & -0.0754 & 0.0979 & -0.1189 & -0.2123 & -0.1436 & -0.0205 & -0.0179 & 0.0579 & -0.0896 & -0.1110 & 0.0075 \\ \hline 7 & 11 & 0.0328 & -0.0171 & 0.0169 & 0.0614 & 0.0413 & 0.0134 & 0.0141 & -0.0927 & 0.0268 & 0.0338 & 0.0070 \\ \hline 7 & 12 & 0.0374 & 0.0187 & 0.0066 & 0.0198 & 0.0206 & -0.0133 & -0.0121 & 0.0499 & 0.0166 & 0.0177 & 0.0074 \\ \hline 8 & 1 & 0.0390 & 0.0540 & 0.1154 & 0.1009 & 0.0618 & 0.0184 & 0.0221 & 0.0063 & 0.0427 & 0.0495 & 0.0079 \\ \hline 8 & 2 & 0.0207 & 0.1455 & -0.0113 & -0.0184 & -0.0269 & -0.0128 & -0.0072 & -0.0050 & -0.0287 & -0.0268 & 0.0073 \\ \hline 8 & 3 & 0.0722 & -0.0072 & 0.0785 & 0.0904 & 0.0792 & 0.0107 & 0.0113 & 0.0234 & 0.0574 & 0.0656 & 0.0089 \\ \hline 8 & 4 & 0.0078 & -0.0095 & 0.0473 & 0.0259 & 0.0157 & -0.0052 & -0.0068 & -0.0037 & 0.0042 & 0.0085 & 0.0085 \\ \hline 8 & 5 & -0.0094 & 0.0322 & -0.0056 & -0.0094 & -0.0139 & 0.0228 & 0.0261 & -0.0206 & -0.0168 & -0.0136 & 0.0082 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 15 & 12 & -0.0182 & -0.0428 & -0.0519 & -0.0391 & -0.0233 & 0.0117 & 0.0010 & 0.0532 & -0.0275 & -0.0264 & 0.0048 \\ \hline 16 & 1 & 0.0560 & 0.0494 & 0.1196 & 0.1103 & 0.1205 & 0.0216 & 0.0100 & 0.1064 & 0.1352 & 0.1285 & 0.0042 \\ \hline 16 & 2 & 0.0359 & -0.0114 & 0.0753 & 0.0792 & 0.0629 & 0.0058 & 0.0043 & 0.0302 & 0.0418 & 0.0479 & 0.0043 \\ \hline 16 & 3 & 0.0018 & 0.0255 & 0.0594 & 0.0264 & 0.0243 & -0.0087 & -0.0145 & 0.0822 & 0.0263 & 0.0236 & 0.0050 \\ \hline 16 & 4 & -0.0121 & 0.1451 & -0.0097 & -0.0235 & -0.0236 & -0.0502 & -0.0383 & 0.1060 & -0.0091 & -0.0170 & 0.0043 \\ \hline 16 & 5 & -0.0076 & 0.0764 & 0.0098 & -0.0084 & 0.0003 & -0.0052 & -0.0140 & 0.0002 & 0.0091 & 0.0051 & 0.0038 \\ \hline 16 & 6 & 0.0276 & -0.0726 & 0.0179 & 0.0128 & 0.0324 & 0.0155 & 0.0145 & -0.0317 & 0.0501 & 0.0437 & 0.0050 \\ \hline 16 & 7 & 0.0000 & 0.0152 & 0.0445 & 0.0249 & 0.0425 & -0.0119 & -0.0108 & -0.0016 & 0.0498 & 0.0442 & 0.0041 \\ \hline 16 & 8 & -0.0239 & 0.0226 & -0.0106 & 0.0124 & 0.0335 & -0.0075 & -0.0165 & 0.0752 & 0.0391 & 0.0371 & 0.0047 \\ \hline 16 & 9 & -0.0077 & -0.0231 & -0.0209 & -0.0137 & -0.0197 & -0.0422 & -0.0324 & -0.0156 & -0.0219 & -0.0208 & 0.0048 \\ \hline 16 & 10 & -0.1524 & -0.0099 & -0.2891 & -0.2951 & -0.2590 & 0.0507 & 0.0568 & -0.1399 & -0.2158 & -0.2253 & 0.0060 \\ \hline 16 & 11 & 0.0225 & -0.0814 & -0.0525 & -0.0497 & -0.0532 & 0.0125 & -0.0037 & 0.0101 & -0.0819 & -0.0723 & 0.0034 \\ \hline 16 & 12 & 0.0396 & 0.0167 & -0.0201 & 0.0339 & 0.0762 & 0.0212 & 0.0182 & 0.0299 & 0.0739 & 0.0703 & 0.0030 \\ \hline 17 & 1 & 0.0548 & -0.0171 & 0.1155 & 0.0750 & 0.0441 & 0.0517 & 0.0442 & 0.0181 & 0.0427 & 0.0449 & 0.0028 \\ \hline 17 & 2 & 0.0382 & -0.0758 & 0.0293 & 0.0643 & 0.0680 & 0.0138 & 0.0139 & 0.0669 & 0.0474 & 0.0517 & 0.0046 \\ \hline 17 & 3 & 0.0050 & 0.0331 & 0.0349 & 0.0397 & 0.0086 & -0.0188 & -0.0199 & 0.0617 & -0.0309 & -0.0166 & 0.0044 \\ \hline 17 & 4 & 0.0070 & 0.0255 & 0.0099 & 0.0120 & 0.0134 & -0.0149 & -0.0125 & 0.0147 & 0.0105 & 0.0110 & 0.0046 \\ \hline 17 & 5 & -0.0148 & 0.0148 & -0.0155 & -0.0284 & -0.0092 & -0.0057 & -0.0158 & -0.0318 & 0.0080 & 0.0004 & 0.0051 \\ \hline 17 & 6 & 0.0347 & 0.0356 & 0.0344 & 0.0522 & 0.0620 & 0.0379 & 0.0323 & -0.0262 & 0.0477 & 0.0515 & 0.0048 \\ \hline 17 & 7 & 0.0107 & -0.0244 & 0.0086 & -0.0018 & -0.0097 & -0.0111 & -0.0120 & 0.0316 & -0.0045 & -0.0073 & 0.0051 \\ \hline 17 & 8 & -0.0047 & -0.0390 & -0.0262 & -0.0238 & -0.0262 & 0.0054 & 0.0006 & -0.0648 & -0.0325 & -0.0280 & 0.0060 \\ \hline 17 & 9 & 0.0056 & -0.0568 & 0.0097 & 0.0137 & 0.0297 & 0.0326 & 0.0321 & 0.0439 & 0.0427 & 0.0372 & 0.0061 \\ \hline 17 & 10 & -0.0044 & 0.0002 & -0.0253 & -0.0144 & 0.0064 & 0.0273 & 0.0217 & 0.0858 & 0.0269 & 0.0176 & 0.0061 \\ \hline 17 & 11 & -0.0203 & 0.0390 & -0.0431 & -0.0391 & -0.0217 & -0.0169 & -0.0200 & 0.0598 & -0.0144 & -0.0164 & 0.0057 \\ \hline 17 & 12 & 0.0179 & -0.0182 & 0.0016 & 0.0270 & 0.0282 & 0.0039 & 0.0030 & 0.0058 & 0.0186 & 0.0211 & 0.0063 \\ \hline 18 & 1 & 0.0222 & -0.0468 & 0.0841 & 0.0449 & 0.0564 & 0.0202 & 0.0161 & 0.0178 & 0.0723 & 0.0661 & 0.0058 \\ \hline 18 & 2 & -0.0030 & -0.0193 & -0.0089 & 0.0059 & 0.0027 & -0.0129 & -0.0149 & 0.0053 & -0.0250 & -0.0164 & 0.0061 \\ \hline 18 & 3 & 0.0046 & 0.0076 & 0.0121 & 0.0184 & 0.0201 & 0.0064 & 0.0094 & -0.0194 & 0.0230 & 0.0215 & 0.0062 \\ \hline 18 & 4 & 0.0283 & -0.0198 & 0.0202 & 0.0214 & 0.0472 & 0.0213 & 0.0248 & 0.0095 & 0.0517 & 0.0482 & 0.0068 \\ \hline 18 & 5 & 0.0093 & -0.0516 & 0.0161 & 0.0260 & 0.0388 & 0.0379 & 0.0316 & -0.0542 & 0.0410 & 0.0393 & 0.0080 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 25 & 12 & 0.1039 & -0.0207 & -0.0095 & 0.0181 & 0.0043 & -0.0186 & -0.0212 & -0.0126 & -0.0198 & -0.0114 & 0.0044 \\ \hline 26 & 1 & 0.0112 & -0.0285 & 0.1065 & 0.0486 & 0.0363 & -0.0029 & -0.0001 & -0.0348 & 0.0628 & 0.0534 & 0.0040 \\ \hline 26 & 2 & -0.0020 & 0.0193 & -0.0138 & -0.0169 & -0.0139 & 0.0028 & -0.0021 & 0.0166 & 0.0078 & -0.0011 & 0.0038 \\ \hline 26 & 3 & -0.0021 & 0.0206 & -0.0543 & -0.0530 & -0.0367 & -0.0221 & -0.0192 & 0.0039 & -0.0417 & -0.0448 & 0.0043 \\ \hline 26 & 4 & -0.0275 & -0.0457 & -0.0388 & -0.0327 & 0.0169 & 0.0184 & 0.0190 & 0.0055 & 0.0603 & 0.0423 & 0.0043 \\ \hline 26 & 5 & 0.0294 & 0.0134 & 0.0429 & 0.0950 & 0.0937 & 0.0128 & 0.0112 & 0.0653 & 0.0614 & 0.0716 & 0.0043 \\ \hline 26 & 6 & 0.0486 & 0.0100 & 0.0369 & 0.0509 & 0.0490 & 0.0187 & 0.0175 & 0.0554 & 0.0441 & 0.0441 & 0.0037 \\ \hline 26 & 7 & 0.0309 & -0.0571 & 0.0392 & 0.0535 & 0.0621 & 0.0528 & 0.0403 & 0.0164 & 0.0804 & 0.0765 & 0.0043 \\ \hline 26 & 8 & -0.0024 & 0.0291 & 0.0457 & 0.0349 & -0.0055 & -0.0240 & -0.0203 & -0.0745 & -0.0550 & -0.0363 & 0.0041 \\ \hline 26 & 9 & 0.0873 & 0.0143 & 0.0921 & 0.0905 & 0.0668 & 0.0227 & 0.0224 & 0.0562 & 0.0539 & 0.0584 & 0.0046 \\ \hline 26 & 10 & -0.0270 & 0.0147 & 0.0002 & -0.0385 & -0.0399 & 0.0191 & 0.0248 & -0.0766 & -0.0326 & -0.0345 & 0.0039 \\ \hline 26 & 11 & 0.0216 & -0.0387 & -0.0265 & -0.0218 & 0.0049 & 0.0101 & 0.0012 & -0.0100 & 0.0463 & 0.0305 & 0.0038 \\ \hline 26 & 12 & 0.0236 & 0.0183 & -0.0446 & -0.0056 & 0.0188 & 0.0163 & 0.0148 & 0.0090 & 0.0172 & 0.0178 & 0.0046 \\ \hline 27 & 1 & -0.0053 & 0.0363 & 0.0365 & 0.0017 & -0.0038 & 0.0137 & 0.0211 & 0.0460 & 0.0120 & 0.0045 & 0.0042 \\ \hline 27 & 2 & -0.0170 & 0.0089 & 0.0434 & 0.0582 & 0.0739 & -0.0007 & -0.0077 & 0.0644 & 0.0720 & 0.0732 & 0.0038 \\ \hline 27 & 3 & 0.0179 & 0.0206 & 0.0400 & 0.0463 & 0.0466 & 0.0038 & 0.0025 & 0.0310 & 0.0513 & 0.0513 & 0.0045 \\ \hline 27 & 4 & -0.0326 & -0.0152 & 0.0449 & 0.0180 & 0.0080 & 0.0053 & 0.0033 & 0.0081 & 0.0113 & 0.0109 & 0.0043 \\ \hline 27 & 5 & -0.0070 & -0.1021 & -0.0420 & -0.0498 & -0.0393 & 0.0167 & 0.0101 & -0.0046 & -0.0177 & -0.0258 & 0.0038 \\ \hline 27 & 6 & -0.0068 & 0.0242 & -0.0364 & -0.0236 & 0.0146 & 0.0115 & 0.0135 & 0.0078 & 0.0410 & 0.0320 & 0.0040 \\ \hline 27 & 7 & -0.0649 & -0.0016 & -0.0519 & -0.0570 & -0.0520 & -0.0056 & 0.0004 & 0.0104 & -0.0101 & -0.0233 & 0.0039 \\ \hline 27 & 8 & -0.0944 & -0.0782 & -0.2089 & -0.2037 & -0.1791 & 0.0089 & 0.0369 & -0.1237 & -0.1431 & -0.1577 & 0.0040 \\ \hline 27 & 9 & 0.0566 & 0.0641 & 0.0198 & 0.0476 & 0.0681 & 0.0413 & 0.0527 & -0.0304 & 0.0632 & 0.0638 & 0.0039 \\ \hline 27 & 10 & -0.0185 & -0.0430 & 0.0026 & 0.0234 & 0.0542 & -0.0190 & -0.0103 & 0.1045 & 0.0801 & 0.0744 & 0.0034 \\ \hline 27 & 11 & 0.0147 & 0.0111 & 0.0967 & 0.0779 & 0.0581 & 0.0270 & -0.0066 & 0.0515 & 0.0622 & 0.0620 & 0.0032 \\ \hline 27 & 12 & -0.0252 & 0.0100 & -0.0118 & 0.0409 & 0.0608 & 0.0010 & 0.0097 & 0.0397 & 0.0597 & 0.0631 & 0.0038 \\ \hline 28 & 1 & -0.0209 & -0.0067 & 0.1303 & 0.0358 & 0.0166 & 0.0123 & 0.0033 & -0.0027 & 0.0428 & 0.0383 & 0.0035 \\ \hline 28 & 2 & -0.0235 & 0.0532 & -0.0321 & -0.0567 & -0.0573 & -0.0401 & -0.0440 & -0.0236 & -0.0319 & -0.0381 & 0.0034 \\ \hline 28 & 3 & -0.0045 & -0.0662 & -0.0312 & -0.0113 & 0.0331 & 0.0002 & 0.0086 & 0.0420 & 0.0390 & 0.0379 & 0.0041 \\ \hline 28 & 4 & 0.0949 & 0.0224 & 0.0923 & 0.0838 & 0.0712 & -0.0024 & -0.0035 & 0.0407 & 0.0376 & 0.0490 & 0.0038 \\ \hline 28 & 5 & 0.0220 & -0.0409 & 0.0287 & 0.0143 & -0.0050 & -0.0176 & -0.0225 & -0.0513 & -0.0232 & -0.0207 & 0.0035 \\ \hline \end{tabular} Assignment \#3 Due on Nov 5 Hawksville College is a private liberal arts college with a $500 million endowment. It has had a fixed investment policy of 60% stocks (spread 25/20/15 amongst large, medium, and small cap stock portfolios, labeled LRGSTK, MEDSTK, and SMLSTK), 20\% Corporate Bonds (CBOND), and 20\% Government Bonds (GBOND) over the past 35 years. The spreadsheet Data for Assignment \#3 contains monthly returns on these asset classes. It also provides returns on three additional asset classes: Real Estate (Equity REITs), International Stocks (EAFE), and Precious Metals (PM). In addition, it provides the monthly returns on the valueweighted market portfolio (VWRET), the S\&P 500 Index (SPRET), and one-month U.S. Treasury bills (TBILL). The College Board wants to have your company to review the fund's investment policy. The Board felt strongly that a return of 1% per month represented a floor below which the portfolio return should not drop. You are required to address the following list of issues drawn up by your manager. In your analysis assume that short-sales are allowed and borrowing at the risk-free rate is possible. 1. Provide performance statistics, including the annualized mean returns, standard deviation, and Sharpe ratio of the endowment fund, the value-weighted market portfolio (VWRETD), the S\&P500 index, the Corporate Bond index (CBOND), and the Government Bond index (GBOND) over the 35 -year period. 2. Plot the portfolio frontier given only the five risky assets in which the college is investing. 3. Is the portfolio of risky assets currently chosen by the college's fund manager an efficient portfolio? If not, calculate the investment proportions in the five risky assets (chosen by the fund) required to construct an efficient risky portfolio that would deliver the same expected return as the current choice of risky portfolio. For this part, assume there is no risk-free investment undertaken by the fund. 4. Calculate the investment proportions required to achieve the optimal (tangency) portfolio with the five risky assets, given the possibility of investing in risk-free T-bills. Calculate the expected return and standard deviation of the tangency portfolio. 5. Assume that you can invest in the risk-free asset. Suggest an efficient portfolio allocation to achieve the college's objective of a floor rate of return equal to 1% per month. Also calculate the expected standard deviation of such a portfolio. 6. Your manager is interested in knowing if the college should diversify its portfolio holdings by including real estate (represented by Equity REITs), international stocks (represented by the MSCI EAFE index which includes stocks from Europe, Asia, and the Far East), and precious metals (denoted PM) in its portfolio. Plot the minimum variance frontier in the presence of the eight risky assets vs. the earlier five risky assets. Calculate the efficient portfolio allocations (risk-free asset \& optimal risky portfolio) required to achieve the 'floor' rate of return of 1% per month with this expanded universe of assets. Also calculate the expected standard deviation of such a portfolio. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 10 & 12 & -0.0027 & -0.0098 & -0.0173 & -0.0176 & -0.0239 & -0.0580 & -0.0328 & -0.0092 & -0.0271 & -0.0281 & 0.0087 \\ \hline 11 & 1 & -0.0039 & -0.0484 & 0.0001 & -0.0147 & -0.0344 & -0.0129 & 0.0029 & -0.0066 & -0.0154 & -0.0262 & 0.0073 \\ \hline 11 & 2 & -0.0184 & 0.0088 & -0.0501 & -0.0494 & -0.0465 & 0.0312 & 0.0191 & -0.0636 & -0.0504 & -0.0511 & 0.0092 \\ \hline 11 & 3 & -0.0150 & -0.1028 & -0.0071 & -0.0173 & -0.0082 & 0.0306 & 0.0056 & -0.0485 & -0.0068 & -0.0101 & 0.0111 \\ \hline 11 & 4 & 0.0281 & 0.0285 & 0.0480 & 0.0499 & 0.0508 & 0.0338 & 0.0269 & 0.0650 & 0.0416 & 0.0433 & 0.0113 \\ \hline 11 & 5 & -0.0002 & -0.0689 & -0.0189 & -0.0204 & -0.0298 & 0.0245 & 0.0206 & -0.0130 & -0.0295 & -0.0282 & 0.0096 \\ \hline 11 & 6 & -0.0377 & -0.1480 & -0.0357 & -0.0342 & -0.0232 & -0.0468 & -0.0250 & -0.0747 & -0.0158 & -0.0239 & 0.0107 \\ \hline 11 & 7 & 0.0044 & 0.0833 & -0.0048 & -0.0138 & -0.0146 & 0.0540 & 0.0415 & -0.0115 & -0.0202 & -0.0205 & 0.0102 \\ \hline 11 & 8 & 0.0367 & 0.0255 & 0.0182 & 0.0514 & 0.1081 & 0.0837 & 0.0761 & 0.0006 & 0.1274 & 0.1190 & 0.0083 \\ \hline 11 & 9 & 0.0460 & 0.0971 & 0.0464 & 0.0386 & 0.0298 & 0.0623 & 0.0395 & -0.0063 & 0.0105 & 0.0168 & 0.0051 \\ \hline 11 & 10 & 0.1012 & 0.0431 & 0.1232 & 0.1401 & 0.1288 & 0.0759 & 0.1000 & 0.0043 & 0.1139 & 0.1186 & 0.0055 \\ \hline 11 & 11 & 0.0373 & 0.0243 & 0.1454 & 0.1082 & 0.0729 & 0.0201 & -0.0101 & 0.0803 & 0.0458 & 0.0519 & 0.0072 \\ \hline 11 & 12 & 0.0260 & 0.0633 & 0.0520 & 0.0184 & 0.0112 & 0.0108 & 0.0363 & 0.0898 & 0.0168 & 0.0145 & 0.0063 \\ \hline 12 & 1 & 0.0401 & 0.1650 & 0.1980 & 0.1048 & 0.0539 & -0.0094 & -0.0204 & -0.0084 & 0.0353 & 0.0419 & 0.0069 \\ \hline 12 & 2 & -0.0064 & 0.0577 & 0.0364 & 0.0466 & 0.0404 & 0.0428 & 0.0423 & 0.0279 & 0.0257 & 0.0302 & 0.0062 \\ \hline 12 & 3 & 0.0941 & -0.1367 & 0.0539 & 0.0457 & 0.0384 & 0.0072 & -0.0112 & 0.0390 & 0.0355 & 0.0347 & 0.0063 \\ \hline 12 & 4 & 0.0639 & 0.0506 & 0.0866 & 0.0803 & 0.0749 & 0.0548 & 0.0300 & 0.0573 & 0.0757 & 0.0742 & 0.0069 \\ \hline 12 & 5 & 0.0128 & 0.0660 & 0.1344 & 0.0936 & 0.0346 & -0.0324 & -0.0298 & -0.0047 & -0.0057 & 0.0132 & 0.0076 \\ \hline 12 & 6 & 0.0178 & -0.0693 & 0.0492 & 0.0442 & 0.0373 & -0.0046 & 0.0008 & 0.0230 & 0.0370 & 0.0378 & 0.0067 \\ \hline 12 & 7 & -0.0242 & 0.0201 & -0.0100 & -0.0304 & -0.0295 & -0.0455 & -0.0440 & 0.0025 & -0.0312 & -0.0316 & 0.0069 \\ \hline 12 & 8 & -0.0028 & -0.0068 & -0.0537 & -0.0396 & -0.0139 & 0.0051 & 0.0128 & -0.0158 & 0.0159 & 0.0035 & 0.0083 \\ \hline 12 & 9 & -0.0116 & -0.0361 & -0.0302 & -0.0015 & 0.0224 & 0.0392 & 0.0425 & 0.0391 & 0.0142 & 0.0161 & 0.0076 \\ \hline 12 & 10 & 0.0334 & -0.1140 & -0.0620 & -0.0635 & -0.0482 & -0.0025 & -0.0110 & -0.0006 & -0.0131 & -0.0280 & 0.0074 \\ \hline 12 & 11 & 0.0209 & -0.0523 & 0.0060 & 0.0360 & 0.0412 & 0.0142 & 0.0161 & 0.0240 & 0.0239 & 0.0296 & 0.0072 \\ \hline 12 & 12 & 0.0383 & 0.0199 & -0.0257 & -0.0177 & -0.0143 & -0.0033 & -0.0003 & 0.0418 & -0.0058 & -0.0105 & 0.0070 \\ \hline 13 & 1 & 0.0370 & 0.1475 & 0.0325 & 0.0068 & -0.0185 & 0.0270 & 0.0179 & 0.0449 & -0.0039 & -0.0130 & 0.0081 \\ \hline 13 & 2 & 0.0063 & 0.0651 & -0.0500 & -0.0586 & -0.0479 & -0.0172 & -0.0134 & 0.0093 & -0.0340 & -0.0391 & 0.0073 \\ \hline 13 & 3 & 0.0007 & 0.0305 & 0.0081 & 0.0025 & 0.0099 & -0.0235 & -0.0211 & 0.0942 & 0.0173 & 0.0134 & 0.0073 \\ \hline 13 & 4 & 0.0141 & -0.0354 & -0.0364 & -0.0233 & -0.0003 & -0.0073 & -0.0052 & -0.0163 & 0.0068 & 0.0035 & 0.0081 \\ \hline 13 & 5 & -0.0199 & -0.0173 & -0.0429 & -0.0539 & -0.0514 & -0.0483 & -0.0506 & -0.1013 & -0.0531 & -0.0523 & 0.0079 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline Year & Month & Equity REITs & PM & SMLSTK & MEDSTK & LRGSTK & CBOND & MBOND & EAFE & SPRET & VWRET & Tbill \\ \hline 1 & 1 & 0.0747 & 0.1115 & 0.0762 & 0.0534 & 0.0254 & -0.0093 & -0.0118 & 0.0609 & 0.0255 & 0.0264 & 0.0038 \\ \hline 1 & 2 & 0.0192 & -0.0183 & 0.0019 & -0.0071 & 0.0021 & 0.0128 & 0.0238 & -0.0102 & 0.0005 & 0.0024 & 0.0036 \\ \hline 1 & 3 & 0.0473 & 0.0710 & 0.0414 & 0.0312 & 0.0170 & -0.0404 & -0.0539 & 0.0407 & 0.0111 & 0.0129 & 0.0035 \\ \hline 1 & 4 & -0.0340 & 0.1298 & 0.0006 & 0.0089 & 0.0083 & -0.0224 & -0.0247 & 0.0471 & 0.0122 & 0.0121 & 0.0040 \\ \hline 1 & 5 & -0.0271 & -0.0065 & -0.0507 & -0.0356 & -0.0285 & -0.0020 & 0.0010 & -0.0382 & -0.0309 & -0.0283 & 0.0043 \\ \hline 1 & 6 & 0.0493 & -0.0618 & 0.0008 & -0.0053 & 0.0037 & 0.0039 & 0.0092 & -0.0003 & 0.0001 & 0.0016 & 0.0040 \\ \hline 1 & 7 & 0.0389 & 0.0289 & -0.0294 & -0.0212 & 0.0034 & 0.0237 & 0.0199 & 0.0081 & 0.0051 & 0.0056 & 0.0040 \\ \hline 1 & 8 & 0.0354 & 0.0427 & 0.0211 & 0.0198 & 0.0233 & 0.0361 & 0.0299 & 0.0267 & 0.0213 & 0.0242 & 0.0042 \\ \hline 1 & 9 & 0.0175 & -0.0834 & 0.0084 & 0.0156 & 0.0246 & 0.0183 & 0.0170 & 0.0013 & 0.0246 & 0.0265 & 0.0041 \\ \hline 1 & 10 & 0.0619 & 0.0068 & 0.0512 & 0.0372 & 0.0329 & 0.0127 & 0.0077 & 0.0370 & 0.0315 & 0.0325 & 0.0041 \\ \hline 1 & 11 & 0.0478 & 0.1006 & 0.0331 & 0.0403 & 0.0245 & 0.0246 & 0.0207 & 0.0306 & 0.0165 & 0.0184 & 0.0042 \\ \hline 1 & 12 & -0.0187 & -0.0455 & -0.0008 & -0.0023 & 0.0095 & -0.0232 & -0.0236 & 0.0330 & 0.0126 & 0.0138 & 0.0040 \\ \hline 2 & 1 & 0.0161 & 0.0169 & 0.0044 & -0.0341 & -0.0419 & -0.0054 & -0.0048 & 0.0173 & -0.0168 & -0.0276 & 0.0044 \\ \hline 2 & 2 & -0.0552 & 0.1311 & -0.0762 & -0.0829 & -0.0595 & 0.0023 & -0.0045 & 0.0827 & -0.0338 & -0.0445 & 0.0043 \\ \hline 2 & 3 & 0.0238 & 0.1266 & -0.0412 & -0.0296 & -0.0190 & 0.0045 & 0.0067 & 0.0063 & -0.0011 & -0.0079 & 0.0048 \\ \hline 2 & 4 & -0.0470 & 0.0653 & -0.0628 & -0.0755 & -0.0636 & 0.0061 & 0.0088 & -0.0560 & -0.0401 & -0.0518 & 0.0050 \\ \hline 2 & 5 & -0.0283 & 0.1189 & -0.1020 & -0.0898 & -0.0487 & -0.0029 & -0.0093 & 0.0244 & -0.0140 & -0.0245 & 0.0051 \\ \hline 2 & 6 & 0.0212 & 0.1701 & -0.0489 & -0.0408 & -0.0191 & -0.0056 & 0.0046 & 0.0248 & -0.0052 & -0.0087 & 0.0054 \\ \hline 2 & 7 & 0.0352 & -0.0018 & 0.0772 & 0.1045 & 0.0763 & -0.0476 & -0.0306 & -0.0123 & 0.0391 & 0.0571 & 0.0065 \\ \hline 2 & 8 & -0.0467 & -0.1274 & -0.0429 & -0.0515 & -0.0297 & 0.0356 & 0.0261 & -0.0507 & -0.0315 & -0.0297 & 0.0069 \\ \hline 2 & 9 & 0.0648 & -0.0376 & 0.0320 & 0.0770 & 0.0794 & 0.0356 & 0.0329 & -0.0066 & 0.0422 & 0.0540 & 0.0067 \\ \hline 2 & 10 & 0.0091 & -0.0366 & 0.0139 & 0.0079 & 0.0002 & -0.0066 & 0.0116 & 0.0216 & 0.0003 & -0.0003 & 0.0069 \\ \hline 2 & 11 & -0.1400 & -0.0588 & -0.1686 & -0.1753 & -0.1452 & 0.0078 & 0.0059 & -0.1438 & -0.1072 & -0.1208 & 0.0055 \\ \hline 2 & 12 & -0.0023 & 0.1182 & -0.0766 & -0.0303 & 0.0046 & -0.0089 & -0.0047 & -0.0408 & 0.0180 & 0.0114 & 0.0070 \\ \hline 3 & 1 & 0.0458 & 0.2002 & 0.2159 & 0.1300 & 0.0441 & -0.0053 & -0.0034 & 0.0068 & -0.0081 & 0.0044 & 0.0063 \\ \hline 3 & 2 & 0.0429 & 0.1481 & 0.0069 & 0.0003 & 0.0034 & 0.0009 & 0.0132 & 0.0333 & 0.0020 & 0.0023 & 0.0058 \\ \hline 3 & 3 & -0.0218 & 0.1070 & 0.0277 & 0.0051 & -0.0198 & -0.0307 & -0.0167 & -0.0258 & -0.0218 & -0.0234 & 0.0057 \\ \hline 3 & 4 & -0.0549 & 0.0184 & -0.0479 & -0.0591 & -0.0582 & -0.0341 & -0.0211 & 0.0270 & -0.0377 & -0.0460 & 0.0079 \\ \hline 3 & 5 & -0.0702 & -0.0638 & -0.0763 & -0.0752 & -0.0626 & 0.0105 & 0.0139 & -0.0389 & -0.0269 & -0.0420 & 0.0072 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 8 & 6 & 0.0920 & -0.0112 & 0.0513 & 0.0600 & 0.0521 & 0.0269 & 0.0235 & 0.0181 & 0.0403 & 0.0469 & 0.0079 \\ \hline 8 & 7 & 0.0431 & -0.0069 & 0.0146 & 0.0177 & 0.0256 & -0.0031 & -0.0052 & 0.0120 & 0.0121 & 0.0150 & 0.0084 \\ \hline 8 & 8 & 0.1260 & 0.0123 & 0.0747 & 0.0765 & 0.0702 & 0.0006 & -0.0067 & 0.0243 & 0.0619 & 0.0647 & 0.0075 \\ \hline 8 & 9 & -0.0229 & 0.2007 & -0.0016 & -0.0034 & 0.0022 & -0.0179 & -0.0050 & 0.0441 & 0.0014 & 0.0014 & 0.0077 \\ \hline 8 & 10 & -0.1065 & 0.1115 & -0.0997 & -0.1090 & -0.0842 & -0.0890 & -0.0667 & -0.0796 & -0.0656 & -0.0727 & 0.0096 \\ \hline 8 & 11 & 0.0351 & -0.0132 & 0.0597 & 0.0859 & 0.0736 & 0.0222 & 0.0480 & 0.0127 & 0.0528 & 0.0636 & 0.0099 \\ \hline 8 & 12 & 0.0326 & 0.1735 & 0.0969 & 0.0826 & 0.0387 & -0.0108 & 0.0120 & 0.0339 & 0.0183 & 0.0282 & 0.0102 \\ \hline 9 & 1 & 0.0750 & 0.3453 & 0.1618 & 0.1013 & 0.0652 & -0.0645 & -0.0375 & 0.0484 & 0.0613 & 0.0656 & 0.0080 \\ \hline 9 & 2 & 0.0119 & 0.0678 & 0.0136 & -0.0123 & -0.0155 & -0.0665 & -0.0505 & -0.0040 & 0.0026 & 0.0010 & 0.0107 \\ \hline 9 & 3 & -0.1215 & -0.2082 & -0.1854 & -0.1893 & -0.1415 & -0.0062 & 0.0483 & -0.1062 & -0.0975 & -0.1202 & 0.0120 \\ \hline 9 & 4 & -0.0031 & -0.2863 & 0.0197 & 0.0611 & 0.0609 & 0.1376 & 0.0844 & 0.0946 & 0.0424 & 0.0523 & 0.0129 \\ \hline 9 & 5 & 0.0510 & -0.0914 & 0.0530 & 0.0673 & 0.0747 & 0.0560 & 0.0385 & 0.0467 & 0.0556 & 0.0601 & 0.0079 \\ \hline 9 & 6 & 0.0698 & 0.1125 & 0.0396 & 0.0447 & 0.0418 & 0.0341 & 0.0293 & 0.0639 & 0.0297 & 0.0377 & 0.0063 \\ \hline 9 & 7 & 0.0779 & 0.0528 & 0.0890 & 0.0940 & 0.0957 & -0.0429 & -0.0427 & -0.0049 & 0.0682 & 0.0694 & 0.0053 \\ \hline 9 & 8 & 0.0303 & -0.0283 & 0.0889 & 0.0717 & 0.0356 & -0.0445 & -0.0276 & 0.0347 & 0.0135 & 0.0236 & 0.0060 \\ \hline 9 & 9 & -0.0164 & 0.1075 & 0.0824 & 0.0422 & 0.0320 & -0.0237 & -0.0072 & 0.0350 & 0.0279 & 0.0295 & 0.0087 \\ \hline 9 & 10 & 0.1021 & -0.0168 & 0.0938 & 0.0568 & 0.0210 & -0.0159 & -0.0236 & 0.0421 & 0.0178 & 0.0201 & 0.0089 \\ \hline 9 & 11 & -0.0198 & -0.0508 & 0.0935 & 0.0832 & 0.0927 & 0.0017 & 0.0098 & -0.0202 & 0.1099 & 0.1049 & 0.0089 \\ \hline 9 & 12 & -0.0161 & -0.1039 & -0.0291 & -0.0454 & -0.0304 & 0.0248 & 0.0275 & 0.0051 & -0.0306 & -0.0344 & 0.0141 \\ \hline 10 & 1 & 0.0206 & -0.0745 & 0.0369 & 0.0068 & -0.0243 & -0.0130 & -0.0040 & -0.0136 & -0.0434 & -0.0401 & 0.0100 \\ \hline 10 & 2 & 0.0089 & -0.0908 & -0.0033 & -0.0062 & 0.0168 & -0.0269 & -0.0290 & -0.0132 & 0.0213 & 0.0155 & 0.0107 \\ \hline 10 & 3 & 0.0253 & -0.0195 & 0.0698 & 0.0695 & 0.0658 & 0.0311 & 0.0277 & 0.0361 & 0.0383 & 0.0462 & 0.0132 \\ \hline 10 & 4 & 0.0150 & -0.0355 & 0.0435 & 0.0324 & 0.0074 & -0.0769 & -0.0383 & 0.0272 & -0.0202 & -0.0113 & 0.0108 \\ \hline 10 & 5 & -0.0038 & -0.0404 & 0.0372 & 0.0310 & 0.0220 & 0.0595 & 0.0452 & -0.0421 & 0.0065 & 0.0136 & 0.0106 \\ \hline 10 & 6 & 0.0233 & -0.0616 & 0.0006 & -0.0174 & -0.0158 & 0.0023 & -0.0070 & 0.0071 & -0.0083 & -0.0102 & 0.0152 \\ \hline 10 & 7 & -0.0075 & -0.0911 & -0.0287 & -0.0263 & -0.0133 & -0.0372 & -0.0285 & -0.0404 & 0.0007 & -0.0031 & 0.0119 \\ \hline 10 & 8 & -0.0381 & 0.0426 & -0.0769 & -0.0810 & -0.0624 & -0.0345 & -0.0226 & 0.0237 & -0.0555 & -0.0563 & 0.0128 \\ \hline 10 & 9 & -0.0645 & 0.0205 & -0.0991 & -0.0899 & -0.0642 & -0.0199 & -0.0080 & -0.0993 & -0.0505 & -0.0638 & 0.0128 \\ \hline 10 & 10 & 0.0506 & -0.0565 & 0.0568 & 0.0870 & 0.0667 & 0.0521 & 0.0743 & 0.0166 & 0.0521 & 0.0602 & 0.0117 \\ \hline 10 & 11 & 0.0372 & -0.0628 & 0.0145 & 0.0244 & 0.0403 & 0.1267 & 0.0845 & 0.1113 & 0.0438 & 0.0459 & 0.0110 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 28 & 6 & -0.0162 & 0.0016 & 0.0157 & 0.0502 & 0.0575 & -0.0160 & -0.0072 & 0.0392 & 0.0544 & 0.0510 & 0.0041 \\ \hline 28 & 7 & -0.0318 & -0.0070 & 0.0286 & -0.0012 & -0.0193 & -0.0113 & -0.0042 & 0.0300 & -0.0302 & -0.0306 & 0.0037 \\ \hline 28 & 8 & -0.0127 & -0.0130 & -0.0325 & -0.0254 & -0.0192 & -0.0026 & -0.0045 & 0.0039 & -0.0050 & -0.0100 & 0.0039 \\ \hline 28 & 9 & -0.0380 & 0.1105 & -0.0063 & -0.0068 & -0.0103 & 0.0093 & 0.0120 & 0.0103 & -0.0281 & -0.0228 & 0.0037 \\ \hline 28 & 10 & -0.0246 & -0.0186 & 0.0086 & 0.0000 & 0.0464 & 0.0047 & -0.0061 & 0.0377 & 0.0642 & 0.0620 & 0.0036 \\ \hline 28 & 11 & -0.0163 & 0.0059 & 0.1357 & 0.0965 & 0.0680 & -0.0024 & -0.0066 & 0.0350 & 0.0208 & 0.0369 & 0.0038 \\ \hline 28 & 12 & 0.0317 & 0.0219 & 0.1805 & 0.1355 & 0.1223 & -0.0102 & -0.0124 & 0.0899 & 0.0626 & 0.0839 & 0.0038 \\ \hline 29 & 1 & 0.0033 & 0.0020 & 0.1328 & 0.0370 & -0.0297 & -0.0021 & -0.0098 & -0.0634 & -0.0496 & -0.0398 & 0.0043 \\ \hline 29 & 2 & -0.0119 & 0.0039 & 0.1999 & 0.1486 & 0.0715 & 0.0092 & 0.0136 & 0.0271 & -0.0175 & 0.0317 & 0.0043 \\ \hline 29 & 3 & 0.0329 & -0.0092 & -0.0388 & -0.0500 & 0.0110 & 0.0169 & 0.0348 & 0.0390 & 0.0985 & 0.0535 & 0.0044 \\ \hline 29 & 4 & 0.0672 & -0.0162 & -0.1481 & -0.1162 & -0.0783 & -0.0115 & -0.0100 & -0.0524 & -0.0316 & -0.0595 & 0.0046 \\ \hline 29 & 5 & 0.0098 & 0.0259 & -0.0716 & -0.0725 & -0.0430 & -0.0161 & 0.0018 & -0.0242 & -0.0224 & -0.0390 & 0.0048 \\ \hline 29 & 6 & 0.0257 & 0.0395 & 0.0615 & 0.1302 & 0.0671 & 0.0326 & 0.0221 & 0.0393 & 0.0262 & 0.0516 & 0.0037 \\ \hline 29 & 7 & 0.0874 & -0.0049 & -0.0315 & -0.0371 & -0.0246 & 0.0179 & 0.0046 & -0.0417 & -0.0120 & -0.0171 & 0.0048 \\ \hline 29 & 8 & -0.0406 & 0.0020 & 0.0566 & 0.0809 & 0.0788 & 0.0135 & 0.0166 & 0.0089 & 0.0638 & 0.0764 & 0.0050 \\ \hline 29 & 9 & 0.0318 & -0.0211 & -0.0205 & -0.0220 & -0.0470 & 0.0046 & -0.0013 & -0.0485 & -0.0519 & -0.0511 & 0.0051 \\ \hline 29 & 10 & -0.0433 & -0.0249 & -0.0854 & -0.0697 & -0.0331 & 0.0045 & 0.0086 & -0.0234 & -0.0042 & -0.0246 & 0.0052 \\ \hline 29 & 11 & 0.0128 & 0.0212 & -0.1057 & -0.1185 & -0.1076 & 0.0263 & 0.0256 & -0.0373 & -0.0783 & -0.1025 & 0.0050 \\ \hline 29 & 12 & 0.0704 & -0.0020 & -0.0350 & 0.0449 & 0.0592 & 0.0270 & 0.0307 & 0.0358 & 0.0057 & 0.0203 & 0.0049 \\ \hline 30 & 1 & 0.0104 & -0.0076 & 0.3939 & 0.2048 & 0.0638 & 0.0359 & 0.0042 & -0.0005 & 0.0323 & 0.0395 & 0.0052 \\ \hline 30 & 2 & -0.0160 & -0.0193 & -0.1063 & -0.0919 & -0.0948 & 0.0127 & 0.0116 & -0.0749 & -0.0911 & -0.0993 & 0.0037 \\ \hline 30 & 3 & 0.0097 & -0.0628 & -0.0926 & -0.0541 & -0.0642 & -0.0029 & 0.0028 & -0.0662 & -0.0635 & -0.0703 & 0.0043 \\ \hline 30 & 4 & 0.0239 & 0.0317 & 0.0470 & 0.0521 & 0.0880 & -0.0128 & -0.0274 & 0.0701 & 0.0778 & 0.0839 & 0.0039 \\ \hline 30 & 5 & 0.0242 & 0.0083 & 0.0822 & 0.0802 & 0.0217 & 0.0132 & 0.0014 & -0.0345 & 0.0070 & 0.0106 & 0.0032 \\ \hline 30 & 6 & 0.0586 & -0.0267 & 0.0088 & 0.0330 & 0.0083 & 0.0055 & 0.0022 & -0.0405 & -0.0244 & -0.0175 & 0.0028 \\ \hline 30 & 7 & -0.0199 & -0.0616 & -0.0031 & -0.0255 & -0.0299 & 0.0361 & 0.0305 & -0.0181 & -0.0093 & -0.0183 & 0.0030 \\ \hline 30 & 8 & 0.0366 & -0.0155 & -0.0208 & -0.0265 & -0.0447 & 0.0156 & 0.0151 & -0.0251 & -0.0634 & -0.0591 & 0.0030 \\ \hline 30 & 9 & -0.0415 & 0.0417 & -0.1033 & -0.1173 & -0.1177 & -0.0152 & 0.0226 & -0.1011 & -0.0804 & -0.0915 & 0.0027 \\ \hline 30 & 10 & -0.0286 & -0.0587 & 0.0736 & 0.0563 & 0.0438 & 0.0437 & 0.0318 & 0.0256 & 0.0196 & 0.0280 & 0.0022 \\ \hline 30 & 11 & 0.0550 & 0.0174 & 0.0584 & 0.0629 & 0.0753 & -0.0188 & -0.0352 & 0.0369 & 0.0788 & 0.0787 & 0.0017 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 23 & 6 & -0.0204 & -0.0023 & -0.0390 & -0.0265 & -0.0286 & -0.0081 & -0.0059 & 0.0144 & -0.0248 & -0.0279 & 0.0031 \\ \hline 23 & 7 & -0.0049 & 0.0013 & 0.0084 & 0.0076 & 0.0251 & 0.0309 & 0.0194 & 0.0098 & 0.0327 & 0.0306 & 0.0028 \\ \hline 23 & 8 & 0.0030 & -0.0136 & 0.0177 & 0.0309 & 0.0487 & -0.0031 & 0.0030 & 0.0239 & 0.0413 & 0.0426 & 0.0037 \\ \hline 23 & 9 & -0.0186 & 0.0320 & 0.0169 & 0.0101 & -0.0105 & -0.0265 & -0.0233 & -0.0313 & -0.0239 & -0.0184 & 0.0037 \\ \hline 23 & 10 & -0.0347 & -0.0045 & 0.0020 & 0.0018 & 0.0033 & -0.0050 & -0.0039 & 0.0335 & 0.0226 & 0.0145 & 0.0038 \\ \hline 23 & 11 & -0.0344 & -0.0281 & -0.0376 & -0.0376 & -0.0294 & 0.0018 & -0.0013 & -0.0478 & -0.0363 & -0.0372 & 0.0037 \\ \hline 23 & 12 & 0.0730 & -0.0345 & -0.0294 & -0.0072 & 0.0164 & 0.0157 & 0.0112 & 0.0065 & 0.0150 & 0.0126 & 0.0044 \\ \hline 24 & 1 & -0.0218 & -0.0013 & 0.0512 & 0.0282 & 0.0042 & 0.0256 & 0.0229 & -0.0382 & 0.0260 & 0.0204 & 0.0042 \\ \hline 24 & 2 & 0.0247 & -0.0118 & 0.0139 & 0.0288 & 0.0402 & 0.0289 & 0.0300 & -0.0026 & 0.0392 & 0.0396 & 0.0040 \\ \hline 24 & 3 & -0.0040 & 0.0025 & 0.0098 & 0.0175 & 0.0249 & 0.0095 & 0.0072 & 0.0627 & 0.0293 & 0.0270 & 0.0041 \\ \hline 24 & 4 & -0.0003 & 0.0900 & 0.0262 & 0.0267 & 0.0217 & 0.0175 & 0.0170 & 0.0379 & 0.0294 & 0.0250 & 0.0045 \\ \hline 24 & 5 & 0.0425 & -0.0175 & 0.0169 & 0.0250 & 0.0248 & 0.0631 & 0.0549 & -0.0117 & 0.0398 & 0.0340 & 0.0054 \\ \hline 24 & 6 & 0.0159 & -0.0108 & 0.0643 & 0.0578 & 0.0381 & 0.0079 & 0.0113 & -0.0173 & 0.0242 & 0.0312 & 0.0047 \\ \hline 24 & 7 & 0.0172 & -0.0185 & 0.0610 & 0.0621 & 0.0505 & -0.0101 & -0.0086 & 0.0625 & 0.0334 & 0.0408 & 0.0045 \\ \hline 24 & 8 & 0.0120 & 0.0025 & 0.0481 & 0.0339 & 0.0116 & 0.0214 & 0.0141 & -0.0379 & 0.0035 & 0.0093 & 0.0046 \\ \hline 24 & 9 & 0.0171 & 0.0022 & 0.0402 & 0.0243 & 0.0267 & 0.0153 & 0.0130 & 0.0198 & 0.0421 & 0.0364 & 0.0043 \\ \hline 24 & 10 & -0.0214 & -0.0212 & -0.0454 & -0.0460 & -0.0241 & 0.0185 & 0.0161 & -0.0266 & -0.0034 & -0.0113 & 0.0047 \\ \hline 24 & 11 & 0.0091 & -0.0012 & -0.0074 & 0.0313 & 0.0419 & 0.0242 & 0.0220 & 0.0281 & 0.0440 & 0.0427 & 0.0041 \\ \hline 24 & 12 & 0.0546 & -0.0089 & 0.0089 & 0.0231 & 0.0155 & 0.0228 & 0.0179 & 0.0405 & 0.0176 & 0.0152 & 0.0049 \\ \hline 25 & 1 & 0.0165 & 0.0339 & 0.0577 & 0.0209 & 0.0168 & 0.0014 & 0.0064 & 0.0043 & 0.0349 & 0.0281 & 0.0043 \\ \hline 25 & 2 & 0.0117 & 0.0126 & 0.0445 & 0.0265 & 0.0234 & -0.0373 & -0.0290 & 0.0036 & 0.0101 & 0.0163 & 0.0039 \\ \hline 25 & 3 & -0.0055 & -0.0231 & 0.0248 & 0.0232 & 0.0129 & -0.0130 & -0.0102 & 0.0215 & 0.0096 & 0.0109 & 0.0039 \\ \hline 25 & 4 & 0.0051 & -0.0190 & 0.0573 & 0.0719 & 0.0429 & -0.0160 & -0.0171 & 0.0293 & 0.0151 & 0.0255 & 0.0046 \\ \hline 25 & 5 & 0.0258 & -0.0063 & 0.1077 & 0.0605 & 0.0289 & 0.0005 & -0.0059 & -0.0182 & 0.0253 & 0.0268 & 0.0040 \\ \hline 25 & 6 & 0.0130 & -0.0282 & -0.0429 & -0.0487 & -0.0240 & 0.0172 & 0.0145 & 0.0059 & 0.0041 & -0.0083 & 0.0040 \\ \hline 25 & 7 & 0.0075 & -0.0080 & -0.1054 & -0.0869 & -0.0679 & 0.0010 & 0.0005 & -0.0290 & -0.0444 & -0.0538 & 0.0045 \\ \hline 25 & 8 & 0.0394 & 0.0135 & 0.0333 & 0.0498 & 0.0470 & -0.0070 & -0.0051 & 0.0024 & 0.0219 & 0.0325 & 0.0041 \\ \hline 25 & 9 & 0.0174 & -0.0275 & 0.0180 & 0.0322 & 0.0485 & 0.0259 & 0.0228 & 0.0268 & 0.0560 & 0.0530 & 0.0044 \\ \hline 25 & 10 & 0.0297 & -0.0133 & -0.0313 & -0.0209 & -0.0034 & 0.0361 & 0.0297 & -0.0100 & 0.0268 & 0.0136 & 0.0042 \\ \hline 25 & 11 & 0.0456 & -0.0129 & 0.0047 & 0.0198 & 0.0474 & 0.0263 & 0.0265 & 0.0400 & 0.0765 & 0.0655 & 0.0039 \\ \hline \end{tabular}Step by Step Solution
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