viscosity factors for lower mantle x 10^21 Pa S 1.0000 1.5000 2.5000 3.5000 5.0000 7.0000 10.0000 15.0000 25.0000 40.0000 70.0000 100.0000 L = 2 cosine terms m 0 0.7957 1.3200 1.9559 2.2809 2.6025 2.9788 3.4701 3.9693 4.0960 3.6082 2.6577 2.0719 1 0.0595 0.1085 0.1737 0.2062 0.2329 0.2627 0.3080 0.3641 0.3925 0.3548 0.2649 0.2070 2 -0.0733 -0.1460 -0.2500 -0.3019 -0.3396 -0.3784 -0.4444 -0.5384 -0.6006 -0.5534 -0.4174 -0.3267 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.1097 -0.2617 -0.4884 -0.5931 -0.6523 -0.7132 -0.8511 -1.0736 -1.2321 -1.1385 -0.8538 -0.6662 2 -0.0102 -0.0124 -0.0091 -0.0057 -0.0055 -0.0094 -0.0130 -0.0090 0.0054 0.0151 0.0162 0.0135 L = 3 cosine terms m 0 -0.3304 -0.4374 -0.5413 -0.6444 -0.7758 -0.8427 -0.7863 -0.5914 -0.3195 -0.1629 -0.0959 -0.0898 1 0.0434 0.0744 0.1193 0.1501 0.1863 0.2232 0.2570 0.2747 0.2569 0.2138 0.1565 0.1261 2 -0.0808 -0.1682 -0.3059 -0.3924 -0.4922 -0.6105 -0.7457 -0.8517 -0.8437 -0.7212 -0.5313 -0.4252 3 -0.0028 -0.0043 -0.0053 -0.0062 -0.0080 -0.0095 -0.0097 -0.0081 -0.0053 -0.0034 -0.0023 -0.0020 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.1846 -0.3554 -0.6059 -0.7640 -0.9535 -1.1729 -1.4025 -1.5495 -1.4770 -1.2334 -0.8999 -0.7225 2 0.0379 0.0693 0.1221 0.1580 0.1962 0.2364 0.2812 0.3176 0.3162 0.2726 0.2021 0.1618 3 0.0552 0.1002 0.1687 0.2145 0.2671 0.3236 0.3814 0.4198 0.4037 0.3407 0.2503 0.2009 L = 4 cosine terms m 0 0.4416 0.7081 1.1774 1.5151 1.8068 1.9563 1.9580 1.7966 1.4635 1.1458 0.8448 0.7102 1 0.0282 0.0498 0.0901 0.1242 0.1638 0.1965 0.2164 0.2148 0.1847 0.1464 0.1057 0.0866 2 -0.1563 -0.2807 -0.5148 -0.7170 -0.9538 -1.1474 -1.2606 -1.2454 -1.0647 -0.8413 -0.6070 -0.4977 3 0.0158 0.0268 0.0471 0.0625 0.0792 0.0929 0.1012 0.1001 0.0861 0.0684 0.0495 0.0406 4 -0.0009 0.0000 0.0022 0.0054 0.0110 0.0172 0.0223 0.0245 0.0223 0.0178 0.0125 0.0099 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.1207 -0.2269 -0.4228 -0.6007 -0.8186 -0.9965 -1.0940 -1.0696 -0.9004 -0.7044 -0.5063 -0.4157 2 -0.0131 -0.0155 -0.0148 -0.0096 0.0085 0.0381 0.0716 0.0962 0.0985 0.0820 0.0570 0.0437 3 0.0328 0.0640 0.1243 0.1804 0.2523 0.3161 0.3581 0.3611 0.3123 0.2471 0.1772 0.1443 4 0.0435 0.0740 0.1300 0.1751 0.2229 0.2578 0.2743 0.2649 0.2234 0.1762 0.1280 0.1058 L = 5 cosine terms m 0 -0.3780 -0.6474 -1.0946 -1.3538 -1.5088 -1.5186 -1.4120 -1.2119 -0.9422 -0.7359 -0.5656 -0.4949 1 0.0635 0.1097 0.1986 0.2643 0.3215 0.3501 0.3489 0.3168 0.2555 0.2003 0.1507 0.1292 2 -0.0761 -0.1466 -0.3394 -0.5261 -0.7210 -0.8448 -0.8828 -0.8251 -0.6733 -0.5253 -0.3881 -0.3278 3 -0.0138 -0.0239 -0.0392 -0.0441 -0.0415 -0.0340 -0.0250 -0.0168 -0.0109 -0.0086 -0.0076 -0.0074 4 0.0494 0.0877 0.1690 0.2343 0.2946 0.3273 0.3302 0.3020 0.2440 0.1909 0.1428 0.1219 5 0.0024 0.0044 0.0093 0.0135 0.0177 0.0203 0.0210 0.0195 0.0160 0.0125 0.0093 0.0079 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.1553 -0.2776 -0.5194 -0.6928 -0.8246 -0.8661 -0.8273 -0.7200 -0.5602 -0.4333 -0.3271 -0.2828 2 -0.0068 -0.0098 0.0005 0.0258 0.0665 0.1044 0.1304 0.1366 0.1191 0.0941 0.0678 0.0555 3 0.0624 0.1165 0.2504 0.3721 0.4939 0.5670 0.5843 0.5409 0.4390 0.3425 0.2540 0.2153 4 -0.0045 -0.0067 -0.0080 -0.0076 -0.0069 -0.0066 -0.0065 -0.0061 -0.0053 -0.0045 -0.0036 -0.0031 5 0.0165 0.0283 0.0497 0.0643 0.0760 0.0811 0.0796 0.0716 0.0575 0.0452 0.0342 0.0295 L = 6 cosine terms m 0 0.3168 0.5027 0.6785 0.7029 0.6590 0.5824 0.4924 0.3999 0.3103 0.2542 0.2126 0.1961 1 0.0479 0.0801 0.1412 0.1841 0.2180 0.2313 0.2256 0.2024 0.1645 0.1329 0.1057 0.0940 2 -0.1663 -0.3023 -0.5757 -0.7599 -0.8932 -0.9344 -0.8979 -0.7947 -0.6385 -0.5130 -0.4067 -0.3615 3 0.0022 0.0021 0.0068 0.0152 0.0255 0.0326 0.0356 0.0341 0.0286 0.0231 0.0180 0.0157 4 0.0353 0.0675 0.1438 0.2014 0.2475 0.2663 0.2607 0.2335 0.1886 0.1514 0.1194 0.1057 5 -0.0027 -0.0032 -0.0011 0.0016 0.0043 0.0059 0.0066 0.0062 0.0051 0.0040 0.0030 0.0026 6 0.0018 0.0028 0.0040 0.0045 0.0046 0.0044 0.0040 0.0035 0.0028 0.0023 0.0019 0.0017 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.0045 -0.0168 -0.0383 -0.0406 -0.0258 -0.0030 0.0191 0.0340 0.0380 0.0341 0.0276 0.0242 2 -0.0342 -0.0535 -0.0433 -0.0051 0.0477 0.0899 0.1152 0.1202 0.1049 0.0850 0.0649 0.0557 3 0.0837 0.1634 0.3575 0.5051 0.6227 0.6700 0.6553 0.5861 0.4726 0.3788 0.2984 0.2640 4 0.0098 0.0200 0.0408 0.0537 0.0617 0.0630 0.0592 0.0515 0.0408 0.0326 0.0258 0.0230 5 -0.0160 -0.0289 -0.0555 -0.0738 -0.0875 -0.0921 -0.0889 -0.0789 -0.0635 -0.0510 -0.0404 -0.0359 6 0.0040 0.0066 0.0100 0.0114 0.0119 0.0114 0.0103 0.0087 0.0068 0.0055 0.0045 0.0040 L = 7 cosine terms m 0 -0.4102 -0.6634 -1.0016 -1.1471 -1.1966 -1.1559 -1.0541 -0.9105 -0.7405 -0.6194 -0.5226 -0.4821 1 0.0503 0.0809 0.1354 0.1698 0.1934 0.1996 0.1915 0.1717 0.1429 0.1204 0.1014 0.0932 2 0.0137 -0.0077 -0.0924 -0.1605 -0.2156 -0.2405 -0.2408 -0.2204 -0.1842 -0.1539 -0.1277 -0.1164 3 -0.0584 -0.0902 -0.1136 -0.1114 -0.0987 -0.0835 -0.0683 -0.0545 -0.0425 -0.0356 -0.0307 -0.0288 4 0.0312 0.0663 0.1433 0.1935 0.2273 0.2365 0.2266 0.2020 0.1666 0.1391 0.1162 0.1064 5 0.0170 0.0312 0.0576 0.0735 0.0839 0.0863 0.0825 0.0736 0.0610 0.0512 0.0430 0.0395 6 -0.0047 -0.0086 -0.0162 -0.0209 -0.0239 -0.0245 -0.0233 -0.0207 -0.0171 -0.0143 -0.0119 -0.0110 7 -0.0039 -0.0068 -0.0121 -0.0156 -0.0179 -0.0186 -0.0179 -0.0161 -0.0134 -0.0113 -0.0095 -0.0087 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.0811 -0.1147 -0.0920 -0.0317 0.0443 0.1025 0.1381 0.1488 0.1365 0.1178 0.0983 0.0892 2 0.0111 0.0302 0.0978 0.1566 0.2084 0.2349 0.2386 0.2218 0.1882 0.1589 0.1331 0.1218 3 0.1070 0.2091 0.4175 0.5485 0.6342 0.6543 0.6241 0.5549 0.4575 0.3824 0.3199 0.2932 4 0.0213 0.0416 0.0749 0.0912 0.0985 0.0965 0.0886 0.0765 0.0618 0.0514 0.0429 0.0394 5 -0.0200 -0.0372 -0.0703 -0.0905 -0.1034 -0.1059 -0.1005 -0.0892 -0.0735 -0.0614 -0.0514 -0.0472 6 -0.0176 -0.0303 -0.0530 -0.0665 -0.0752 -0.0769 -0.0732 -0.0652 -0.0540 -0.0453 -0.0381 -0.0350 7 -0.0136 -0.0223 -0.0357 -0.0429 -0.0469 -0.0470 -0.0442 -0.0391 -0.0323 -0.0271 -0.0228 -0.0210 L = 8 cosine terms m 0 0.2225 0.2849 0.2917 0.2571 0.2080 0.1643 0.1275 0.0986 0.0768 0.0659 0.0589 0.0563 1 0.0656 0.0967 0.1423 0.1665 0.1799 0.1802 0.1708 0.1540 0.1321 0.1157 0.1022 0.0964 2 -0.1454 -0.2217 -0.3090 -0.3392 -0.3431 -0.3266 -0.2973 -0.2600 -0.2183 -0.1895 -0.1667 -0.1571 3 0.0387 0.0648 0.1103 0.1357 0.1501 0.1514 0.1434 0.1287 0.1096 0.0955 0.0838 0.0789 4 0.0553 0.1076 0.2008 0.2526 0.2827 0.2868 0.2726 0.2453 0.2092 0.1821 0.1598 0.1502 5 0.0066 0.0159 0.0321 0.0408 0.0456 0.0461 0.0437 0.0392 0.0334 0.0290 0.0254 0.0238 6 0.0016 0.0001 -0.0044 -0.0072 -0.0091 -0.0097 -0.0093 -0.0084 -0.0071 -0.0061 -0.0053 -0.0049 7 0.0134 0.0195 0.0261 0.0283 0.0284 0.0270 0.0246 0.0216 0.0182 0.0158 0.0140 0.0132 8 -0.0077 -0.0119 -0.0177 -0.0205 -0.0219 -0.0216 -0.0203 -0.0182 -0.0155 -0.0136 -0.0119 -0.0113 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.1313 0.2198 0.3723 0.4622 0.5203 0.5342 0.5148 0.4694 0.4051 0.3553 0.3135 0.2955 2 -0.0458 -0.0489 -0.0114 0.0295 0.0695 0.0947 0.1065 0.1064 0.0967 0.0862 0.0762 0.0716 3 0.1035 0.1985 0.3642 0.4544 0.5052 0.5101 0.4832 0.4336 0.3689 0.3209 0.2814 0.2645 4 0.0544 0.0882 0.1289 0.1432 0.1453 0.1381 0.1252 0.1090 0.0911 0.0788 0.0691 0.0650 5 -0.0224 -0.0418 -0.0741 -0.0908 -0.0993 -0.0991 -0.0930 -0.0829 -0.0701 -0.0609 -0.0533 -0.0501 6 -0.0043 -0.0100 -0.0223 -0.0305 -0.0363 -0.0384 -0.0377 -0.0348 -0.0302 -0.0265 -0.0233 -0.0219 7 0.0105 0.0166 0.0258 0.0304 0.0328 0.0327 0.0308 0.0276 0.0235 0.0206 0.0181 0.0171 8 -0.0112 -0.0171 -0.0249 -0.0284 -0.0298 -0.0291 -0.0271 -0.0241 -0.0205 -0.0178 -0.0157 -0.0148 L = 9 cosine terms m 0 -0.3103 -0.4259 -0.5389 -0.5707 -0.5671 -0.5384 -0.4945 -0.4416 -0.3839 -0.3446 -0.3136 -0.3005 1 0.0048 0.0107 0.0283 0.0417 0.0524 0.0575 0.0584 0.0558 0.0508 0.0464 0.0427 0.0410 2 0.1095 0.1503 0.1911 0.2025 0.2007 0.1896 0.1732 0.1538 0.1330 0.1190 0.1081 0.1035 3 -0.0637 -0.0718 -0.0588 -0.0424 -0.0260 -0.0145 -0.0069 -0.0023 -0.0001 0.0004 0.0004 0.0003 4 0.0710 0.1243 0.2022 0.2388 0.2561 0.2545 0.2407 0.2188 0.1919 0.1725 0.1567 0.1500 5 0.0367 0.0578 0.0847 0.0960 0.1005 0.0987 0.0928 0.0842 0.0739 0.0665 0.0605 0.0579 6 -0.0128 -0.0220 -0.0353 -0.0414 -0.0441 -0.0436 -0.0410 -0.0371 -0.0324 -0.0291 -0.0264 -0.0252 7 -0.0019 -0.0059 -0.0149 -0.0208 -0.0252 -0.0271 -0.0271 -0.0257 -0.0232 -0.0212 -0.0194 -0.0186 8 0.0096 0.0142 0.0202 0.0230 0.0242 0.0239 0.0226 0.0207 0.0182 0.0164 0.0150 0.0144 9 -0.0068 -0.0098 -0.0133 -0.0147 -0.0151 -0.0147 -0.0137 -0.0124 -0.0109 -0.0098 -0.0089 -0.0085 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.0761 -0.0626 0.0093 0.0691 0.1211 0.1512 0.1642 0.1632 0.1517 0.1397 0.1285 0.1234 2 0.0122 0.0357 0.0852 0.1175 0.1411 0.1510 0.1507 0.1425 0.1286 0.1172 0.1073 0.1030 3 0.1053 0.1817 0.2911 0.3413 0.3637 0.3598 0.3391 0.3074 0.2691 0.2417 0.2194 0.2100 4 0.0222 0.0362 0.0483 0.0492 0.0455 0.0400 0.0341 0.0283 0.0231 0.0200 0.0177 0.0168 5 -0.0246 -0.0448 -0.0742 -0.0875 -0.0931 -0.0918 -0.0861 -0.0777 -0.0677 -0.0606 -0.0549 -0.0525 6 -0.0064 -0.0148 -0.0296 -0.0379 -0.0431 -0.0445 -0.0433 -0.0401 -0.0357 -0.0323 -0.0294 -0.0282 7 -0.0017 -0.0016 -0.0010 -0.0006 -0.0004 -0.0004 -0.0004 -0.0004 -0.0004 -0.0005 -0.0004 -0.0004 8 0.0079 0.0125 0.0196 0.0233 0.0254 0.0258 0.0248 0.0229 0.0203 0.0184 0.0168 0.0161 9 -0.0070 -0.0102 -0.0144 -0.0162 -0.0170 -0.0167 -0.0157 -0.0143 -0.0126 -0.0114 -0.0103 -0.0099 L = 10 cosine terms m 0 0.1713 0.2110 0.2315 0.2248 0.2064 0.1850 0.1631 0.1422 0.1229 0.1111 0.1024 0.0988 1 0.0831 0.1073 0.1320 0.1399 0.1404 0.1353 0.1268 0.1161 0.1043 0.0963 0.0898 0.0871 2 -0.0859 -0.0919 -0.0784 -0.0632 -0.0477 -0.0362 -0.0275 -0.0212 -0.0168 -0.0147 -0.0133 -0.0129 3 0.0632 0.0921 0.1226 0.1312 0.1302 0.1230 0.1127 0.1009 0.0888 0.0809 0.0747 0.0722 4 0.0507 0.0870 0.1346 0.1551 0.1639 0.1623 0.1545 0.1427 0.1286 0.1186 0.1104 0.1070 5 0.0222 0.0342 0.0472 0.0515 0.0523 0.0505 0.0473 0.0431 0.0386 0.0354 0.0329 0.0319 6 -0.0060 -0.0132 -0.0234 -0.0278 -0.0297 -0.0293 -0.0277 -0.0254 -0.0227 -0.0208 -0.0193 -0.0187 7 -0.0180 -0.0298 -0.0477 -0.0569 -0.0624 -0.0637 -0.0620 -0.0584 -0.0535 -0.0498 -0.0466 -0.0453 8 0.0039 0.0057 0.0078 0.0087 0.0090 0.0088 0.0083 0.0077 0.0069 0.0063 0.0059 0.0057 9 0.0191 0.0270 0.0369 0.0413 0.0433 0.0430 0.0412 0.0383 0.0348 0.0322 0.0302 0.0293 10 0.0085 0.0117 0.0156 0.0171 0.0177 0.0174 0.0166 0.0153 0.0139 0.0129 0.0120 0.0117 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.1990 0.2758 0.3611 0.3923 0.4003 0.3897 0.3674 0.3379 0.3043 0.2809 0.2620 0.2540 2 -0.0519 -0.0559 -0.0454 -0.0323 -0.0184 -0.0078 -0.0001 0.0049 0.0077 0.0086 0.0088 0.0088 3 0.0337 0.0642 0.1047 0.1219 0.1291 0.1276 0.1209 0.1112 0.0998 0.0917 0.0852 0.0825 4 0.0554 0.0701 0.0745 0.0687 0.0590 0.0495 0.0409 0.0335 0.0275 0.0241 0.0217 0.0208 5 -0.0414 -0.0638 -0.0890 -0.0974 -0.0986 -0.0947 -0.0879 -0.0796 -0.0707 -0.0647 -0.0599 -0.0580 6 -0.0454 -0.0685 -0.0995 -0.1139 -0.1211 -0.1212 -0.1166 -0.1088 -0.0991 -0.0919 -0.0860 -0.0834 7 0.0123 0.0182 0.0259 0.0292 0.0305 0.0302 0.0287 0.0266 0.0240 0.0222 0.0207 0.0201 8 0.0027 0.0059 0.0119 0.0157 0.0184 0.0196 0.0197 0.0189 0.0176 0.0165 0.0155 0.0151 9 0.0004 0.0004 0.0003 0.0002 0.0001 0.0000 -0.0001 -0.0001 -0.0002 -0.0002 -0.0002 -0.0002 10 -0.0035 -0.0049 -0.0067 -0.0075 -0.0079 -0.0079 -0.0075 -0.0070 -0.0064 -0.0059 -0.0055 -0.0054 L = 11 cosine terms m 0 -0.1425 -0.1628 -0.1750 -0.1755 -0.1711 -0.1639 -0.1547 -0.1443 -0.1332 -0.1257 -0.1197 -0.1172 1 -0.0297 -0.0314 -0.0262 -0.0204 -0.0145 -0.0101 -0.0067 -0.0043 -0.0027 -0.0019 -0.0014 -0.0012 2 0.1621 0.2105 0.2560 0.2680 0.2661 0.2551 0.2393 0.2210 0.2017 0.1888 0.1786 0.1744 3 -0.0822 -0.0915 -0.0956 -0.0951 -0.0925 -0.0889 -0.0843 -0.0790 -0.0733 -0.0694 -0.0662 -0.0649 4 0.0576 0.0833 0.1106 0.1199 0.1220 0.1189 0.1127 0.1048 0.0961 0.0902 0.0854 0.0834 5 0.0351 0.0425 0.0451 0.0431 0.0392 0.0352 0.0314 0.0278 0.0245 0.0226 0.0211 0.0205 6 -0.0291 -0.0411 -0.0536 -0.0574 -0.0577 -0.0556 -0.0523 -0.0482 -0.0439 -0.0411 -0.0388 -0.0379 7 -0.0400 -0.0596 -0.0863 -0.0994 -0.1069 -0.1085 -0.1063 -0.1015 -0.0951 -0.0902 -0.0861 -0.0844 8 0.0044 0.0062 0.0085 0.0096 0.0101 0.0101 0.0098 0.0093 0.0087 0.0082 0.0078 0.0076 9 -0.0004 0.0008 0.0033 0.0050 0.0064 0.0072 0.0075 0.0075 0.0072 0.0070 0.0067 0.0066 10 0.0110 0.0144 0.0181 0.0195 0.0199 0.0196 0.0187 0.0176 0.0162 0.0153 0.0146 0.0143 11 0.0004 0.0004 0.0005 0.0005 0.0004 0.0004 0.0003 0.0003 0.0003 0.0002 0.0002 0.0002 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 -0.1519 -0.1750 -0.1863 -0.1831 -0.1735 -0.1618 -0.1491 -0.1361 -0.1235 -0.1154 -0.1091 -0.1065 2 -0.0339 -0.0374 -0.0365 -0.0330 -0.0282 -0.0238 -0.0199 -0.0166 -0.0139 -0.0124 -0.0114 -0.0110 3 0.0265 0.0391 0.0508 0.0536 0.0527 0.0498 0.0460 0.0418 0.0376 0.0348 0.0327 0.0318 4 -0.0308 -0.0431 -0.0618 -0.0721 -0.0788 -0.0811 -0.0804 -0.0775 -0.0732 -0.0697 -0.0668 -0.0655 5 -0.0183 -0.0285 -0.0374 -0.0388 -0.0371 -0.0340 -0.0305 -0.0269 -0.0235 -0.0214 -0.0199 -0.0192 6 -0.0273 -0.0413 -0.0586 -0.0660 -0.0695 -0.0695 -0.0672 -0.0635 -0.0590 -0.0557 -0.0530 -0.0518 7 0.0030 0.0053 0.0079 0.0087 0.0088 0.0084 0.0077 0.0070 0.0063 0.0058 0.0054 0.0052 8 0.0181 0.0272 0.0400 0.0465 0.0503 0.0512 0.0503 0.0482 0.0452 0.0429 0.0410 0.0402 9 0.0007 0.0008 0.0009 0.0009 0.0009 0.0009 0.0009 0.0008 0.0008 0.0007 0.0007 0.0007 10 0.0055 0.0069 0.0081 0.0084 0.0083 0.0080 0.0075 0.0069 0.0063 0.0059 0.0056 0.0055 11 -0.0021 -0.0028 -0.0035 -0.0038 -0.0039 -0.0039 -0.0037 -0.0035 -0.0033 -0.0031 -0.0029 -0.0029 L = 12 cosine terms m 0 0.1202 0.1397 0.1461 0.1392 0.1266 0.1134 0.1008 0.0893 0.0791 0.0731 0.0687 0.0669 1 0.1051 0.1216 0.1318 0.1311 0.1259 0.1189 0.1110 0.1029 0.0949 0.0899 0.0859 0.0843 2 -0.0335 -0.0303 -0.0237 -0.0198 -0.0169 -0.0150 -0.0137 -0.0127 -0.0119 -0.0114 -0.0110 -0.0109 3 0.0704 0.0815 0.0811 0.0729 0.0614 0.0508 0.0415 0.0337 0.0274 0.0239 0.0215 0.0206 4 -0.0046 -0.0020 -0.0003 -0.0002 -0.0006 -0.0012 -0.0016 -0.0020 -0.0023 -0.0024 -0.0025 -0.0025 5 -0.0375 -0.0496 -0.0649 -0.0719 -0.0755 -0.0760 -0.0745 -0.0717 -0.0680 -0.0654 -0.0632 -0.0622 6 -0.0176 -0.0265 -0.0358 -0.0389 -0.0397 -0.0388 -0.0370 -0.0347 -0.0323 -0.0307 -0.0294 -0.0288 7 -0.0587 -0.0804 -0.1064 -0.1179 -0.1238 -0.1244 -0.1218 -0.1172 -0.1112 -0.1068 -0.1032 -0.1016 8 -0.0164 -0.0204 -0.0246 -0.0262 -0.0269 -0.0268 -0.0260 -0.0250 -0.0237 -0.0227 -0.0219 -0.0216 9 0.0189 0.0259 0.0347 0.0389 0.0413 0.0419 0.0413 0.0399 0.0381 0.0367 0.0355 0.0350 10 0.0006 0.0007 0.0008 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 0.0007 0.0007 11 0.0004 0.0003 0.0001 -0.0001 -0.0003 -0.0004 -0.0005 -0.0005 -0.0005 -0.0005 -0.0005 -0.0005 12 -0.0094 -0.0119 -0.0145 -0.0155 -0.0158 -0.0156 -0.0151 -0.0144 -0.0136 -0.0130 -0.0126 -0.0124 sine terms m 0 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 1 0.1327 0.1420 0.1332 0.1189 0.1018 0.0871 0.0745 0.0640 0.0553 0.0505 0.0470 0.0456 2 -0.0558 -0.0694 -0.0819 -0.0850 -0.0843 -0.0812 -0.0769 -0.0720 -0.0669 -0.0635 -0.0608 -0.0597 3 -0.0405 -0.0487 -0.0568 -0.0595 -0.0599 -0.0586 -0.0563 -0.0535 -0.0503 -0.0481 -0.0463 -0.0456 4 0.0294 0.0256 0.0125 0.0022 -0.0072 -0.0136 -0.0180 -0.0206 -0.0219 -0.0222 -0.0222 -0.0222 5 -0.0190 -0.0229 -0.0218 -0.0180 -0.0131 -0.0088 -0.0053 -0.0026 -0.0005 0.0005 0.0012 0.0014 6 -0.0387 -0.0504 -0.0623 -0.0664 -0.0676 -0.0665 -0.0641 -0.0609 -0.0572 -0.0547 -0.0526 -0.0518 7 0.0060 0.0085 0.0109 0.0115 0.0113 0.0108 0.0100 0.0092 0.0084 0.0079 0.0075 0.0074 8 0.0363 0.0506 0.0691 0.0779 0.0831 0.0845 0.0835 0.0808 0.0771 0.0743 0.0719 0.0709 9 0.0000 -0.0005 -0.0014 -0.0020 -0.0025 -0.0027 -0.0029 -0.0029 -0.0028 -0.0028 -0.0027 -0.0027 10 -0.0015 -0.0026 -0.0044 -0.0054 -0.0062 -0.0066 -0.0067 -0.0066 -0.0064 -0.0062 -0.0061 -0.0060 11 0.0053 0.0067 0.0082 0.0088 0.0090 0.0089 0.0086 0.0083 0.0078 0.0075 0.0072 0.0071 12 -0.0112 -0.0140 -0.0170 -0.0182 -0.0185 -0.0183 -0.0177 -0.0168 -0.0159 -0.0152 -0.0146 -0.0144