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 0.7171 1.2399 1.8419 2.1229 2.4029 2.7647 3.2777 3.8481 4.1180 3.7828 2.9958 2.4886 1 0.0534 0.1009 0.1621 0.1900 0.2119 0.2388 0.2845 0.3459 0.3873 0.3645 0.2913 0.2415 2 -0.0657 -0.1351 -0.2320 -0.2760 -0.3052 -0.3382 -0.4030 -0.5032 -0.5841 -0.5602 -0.4508 -0.3732 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 -0.0951 -0.2359 -0.4456 -0.5338 -0.5743 -0.6214 -0.7541 -0.9877 -1.1863 -1.1429 -0.9146 -0.7545 2 -0.0084 -0.0113 -0.0087 -0.0060 -0.0068 -0.0118 -0.0169 -0.0145 -0.0013 0.0086 0.0107 0.0088 L = 3 cosine terms m 0 -0.2583 -0.3542 -0.4329 -0.5331 -0.6869 -0.7957 -0.7922 -0.6498 -0.4155 -0.2665 -0.1913 -0.1777 1 0.0410 0.0688 0.1061 0.1301 0.1601 0.1940 0.2291 0.2534 0.2491 0.2194 0.1752 0.1503 2 -0.0878 -0.1662 -0.2812 -0.3435 -0.4152 -0.5134 -0.6416 -0.7603 -0.7928 -0.7164 -0.5740 -0.4889 3 -0.0021 -0.0033 -0.0040 -0.0047 -0.0065 -0.0083 -0.0091 -0.0082 -0.0059 -0.0042 -0.0031 -0.0028 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 -0.1834 -0.3353 -0.5403 -0.6540 -0.7968 -0.9878 -1.2149 -1.3949 -1.3999 -1.2355 -0.9788 -0.8339 2 0.0401 0.0689 0.1143 0.1423 0.1717 0.2056 0.2480 0.2887 0.3017 0.2751 0.2227 0.1906 3 0.0548 0.0953 0.1526 0.1874 0.2286 0.2783 0.3355 0.3822 0.3863 0.3447 0.2760 0.2360 L = 4 cosine terms m 0 0.3873 0.6066 1.0017 1.3075 1.5985 1.7817 1.8501 1.7874 1.5837 1.3670 1.1487 1.0452 1 0.0310 0.0497 0.0830 0.1111 0.1458 0.1779 0.2022 0.2114 0.1990 0.1761 0.1488 0.1350 2 -0.1729 -0.2796 -0.4699 -0.6349 -0.8423 -1.0321 -1.1727 -1.2210 -1.1421 -1.0064 -0.8479 -0.7682 3 0.0164 0.0259 0.0434 0.0567 0.0717 0.0853 0.0957 0.0996 0.0938 0.0832 0.0706 0.0642 4 0.0009 0.0018 0.0034 0.0054 0.0096 0.0150 0.0202 0.0236 0.0236 0.0213 0.0180 0.0162 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 -0.1380 -0.2294 -0.3830 -0.5229 -0.7108 -0.8845 -1.0074 -1.0399 -0.9576 -0.8332 -0.6949 -0.6270 2 -0.0014 -0.0016 0.0004 0.0022 0.0138 0.0372 0.0678 0.0953 0.1084 0.1039 0.0907 0.0825 3 0.0421 0.0694 0.1176 0.1615 0.2223 0.2828 0.3312 0.3524 0.3341 0.2956 0.2490 0.2252 4 0.0434 0.0691 0.1153 0.1536 0.1972 0.2331 0.2567 0.2610 0.2404 0.2108 0.1776 0.1612 L = 5 cosine terms m 0 -0.3158 -0.5376 -0.9315 -1.1851 -1.3721 -1.4439 -1.4229 -1.3252 -1.1679 -1.0380 -0.9244 -0.8744 1 0.0625 0.1004 0.1764 0.2362 0.2943 0.3326 0.3503 0.3460 0.3201 0.2919 0.2638 0.2507 2 -0.1078 -0.1632 -0.3165 -0.4753 -0.6583 -0.7986 -0.8834 -0.9020 -0.8528 -0.7843 -0.7115 -0.6765 3 -0.0090 -0.0169 -0.0305 -0.0366 -0.0366 -0.0318 -0.0248 -0.0176 -0.0115 -0.0084 -0.0065 -0.0058 4 0.0524 0.0835 0.1515 0.2096 0.2691 0.3102 0.3312 0.3299 0.3068 0.2802 0.2534 0.2407 5 0.0029 0.0045 0.0084 0.0121 0.0162 0.0192 0.0210 0.0213 0.0201 0.0185 0.0168 0.0159 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 -0.1457 -0.2444 -0.4474 -0.6064 -0.7471 -0.8209 -0.8333 -0.7910 -0.7043 -0.6276 -0.5586 -0.5278 2 0.0070 0.0047 0.0111 0.0297 0.0633 0.0990 0.1297 0.1489 0.1529 0.1463 0.1359 0.1302 3 0.0781 0.1211 0.2294 0.3345 0.4507 0.5365 0.5853 0.5915 0.5551 0.5087 0.4606 0.4377 4 -0.0034 -0.0054 -0.0073 -0.0072 -0.0068 -0.0067 -0.0067 -0.0067 -0.0065 -0.0062 -0.0058 -0.0056 5 0.0153 0.0250 0.0436 0.0572 0.0695 0.0770 0.0799 0.0781 0.0717 0.0652 0.0588 0.0559 L = 6 cosine terms m 0 0.2258 0.3944 0.5836 0.6389 0.6372 0.6005 0.5475 0.4879 0.4274 0.3881 0.3579 0.3454 1 0.0457 0.0717 0.1239 0.1640 0.2014 0.2254 0.2374 0.2379 0.2284 0.2176 0.2068 0.2017 2 -0.1610 -0.2665 -0.4987 -0.6737 -0.8275 -0.9179 -0.9556 -0.9470 -0.9004 -0.8525 -0.8070 -0.7861 3 0.0047 0.0044 0.0071 0.0134 0.0223 0.0302 0.0359 0.0390 0.0396 0.0387 0.0373 0.0366 4 0.0391 0.0627 0.1251 0.1777 0.2275 0.2594 0.2755 0.2769 0.2660 0.2531 0.2403 0.2344 5 -0.0013 -0.0022 -0.0010 0.0011 0.0036 0.0054 0.0067 0.0074 0.0075 0.0073 0.0070 0.0068 6 0.0013 0.0023 0.0035 0.0040 0.0043 0.0044 0.0043 0.0041 0.0038 0.0035 0.0033 0.0032 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 0.0012 -0.0082 -0.0287 -0.0361 -0.0305 -0.0156 0.0029 0.0203 0.0337 0.0395 0.0423 0.0431 2 -0.0107 -0.0308 -0.0331 -0.0080 0.0342 0.0746 0.1077 0.1299 0.1405 0.1413 0.1388 0.1369 3 0.0948 0.1527 0.3106 0.4451 0.5723 0.6534 0.6937 0.6969 0.6688 0.6360 0.6036 0.5885 4 0.0094 0.0170 0.0348 0.0474 0.0575 0.0625 0.0639 0.0622 0.0583 0.0548 0.0516 0.0502 5 -0.0158 -0.0258 -0.0482 -0.0654 -0.0809 -0.0903 -0.0944 -0.0939 -0.0895 -0.0848 -0.0804 -0.0783 6 0.0031 0.0053 0.0086 0.0103 0.0113 0.0115 0.0112 0.0105 0.0096 0.0089 0.0084 0.0081 L = 7 cosine terms m 0 -0.3138 -0.5281 -0.8524 -1.0289 -1.1481 -1.1974 -1.2011 -1.1723 -1.1212 -1.0789 -1.0422 -1.0260 1 0.0438 0.0675 0.1133 0.1465 0.1759 0.1944 0.2043 0.2069 0.2038 0.1992 0.1944 0.1922 2 -0.0028 -0.0083 -0.0667 -0.1245 -0.1818 -0.2218 -0.2472 -0.2600 -0.2624 -0.2594 -0.2551 -0.2528 3 -0.0391 -0.0695 -0.1001 -0.1068 -0.1041 -0.0968 -0.0880 -0.0791 -0.0706 -0.0654 -0.0616 -0.0600 4 0.0311 0.0540 0.1156 0.1631 0.2050 0.2308 0.2446 0.2484 0.2447 0.2390 0.2332 0.2304 5 0.0149 0.0253 0.0475 0.0631 0.0765 0.0846 0.0888 0.0898 0.0882 0.0861 0.0840 0.0829 6 -0.0042 -0.0071 -0.0134 -0.0179 -0.0218 -0.0242 -0.0253 -0.0255 -0.0250 -0.0244 -0.0238 -0.0235 7 -0.0035 -0.0056 -0.0101 -0.0133 -0.0162 -0.0181 -0.0191 -0.0194 -0.0191 -0.0187 -0.0182 -0.0180 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 -0.0400 -0.0813 -0.0904 -0.0576 -0.0035 0.0483 0.0924 0.1256 0.1476 0.1565 0.1608 0.1619 2 0.0213 0.0293 0.0754 0.1232 0.1739 0.2115 0.2372 0.2513 0.2555 0.2538 0.2503 0.2484 3 0.0993 0.1699 0.3403 0.4668 0.5762 0.6424 0.6764 0.6841 0.6719 0.6555 0.6389 0.6312 4 0.0169 0.0321 0.0620 0.0802 0.0933 0.0995 0.1011 0.0995 0.0956 0.0921 0.0891 0.0877 5 -0.0179 -0.0302 -0.0577 -0.0776 -0.0945 -0.1045 -0.1095 -0.1103 -0.1081 -0.1053 -0.1026 -0.1013 6 -0.0151 -0.0248 -0.0440 -0.0574 -0.0688 -0.0757 -0.0791 -0.0797 -0.0781 -0.0762 -0.0743 -0.0734 7 -0.0110 -0.0181 -0.0301 -0.0377 -0.0437 -0.0470 -0.0484 -0.0483 -0.0470 -0.0457 -0.0444 -0.0438 L = 8 cosine terms m 0 0.1512 0.2293 0.2775 0.2743 0.2538 0.2292 0.2049 0.1828 0.1635 0.1522 0.1441 0.1408 1 0.0503 0.0751 0.1150 0.1404 0.1616 0.1746 0.1819 0.1848 0.1842 0.1825 0.1806 0.1796 2 -0.1012 -0.1673 -0.2576 -0.3029 -0.3325 -0.3454 -0.3482 -0.3444 -0.3361 -0.3291 -0.3229 -0.3202 3 0.0301 0.0480 0.0848 0.1104 0.1321 0.1456 0.1532 0.1565 0.1565 0.1552 0.1536 0.1528 4 0.0419 0.0755 0.1505 0.2025 0.2465 0.2738 0.2897 0.2968 0.2976 0.2955 0.2927 0.2913 5 0.0046 0.0104 0.0236 0.0325 0.0399 0.0444 0.0469 0.0481 0.0481 0.0478 0.0473 0.0471 6 0.0010 0.0007 -0.0022 -0.0048 -0.0071 -0.0086 -0.0096 -0.0101 -0.0103 -0.0103 -0.0103 -0.0102 7 0.0095 0.0150 0.0221 0.0255 0.0277 0.0286 0.0288 0.0284 0.0277 0.0271 0.0266 0.0264 8 -0.0056 -0.0090 -0.0143 -0.0175 -0.0200 -0.0214 -0.0222 -0.0224 -0.0222 -0.0220 -0.0217 -0.0215 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 0.1020 0.1634 0.2858 0.3719 0.4478 0.4975 0.5285 0.5443 0.5484 0.5462 0.5423 0.5402 2 -0.0251 -0.0409 -0.0299 -0.0052 0.0255 0.0513 0.0719 0.0871 0.0976 0.1022 0.1049 0.1058 3 0.0776 0.1396 0.2745 0.3668 0.4437 0.4909 0.5177 0.5292 0.5295 0.5252 0.5199 0.5173 4 0.0368 0.0648 0.1059 0.1270 0.1408 0.1468 0.1482 0.1466 0.1430 0.1399 0.1373 0.1361 5 -0.0164 -0.0295 -0.0566 -0.0744 -0.0888 -0.0973 -0.1019 -0.1035 -0.1030 -0.1019 -0.1007 -0.1002 6 -0.0038 -0.0068 -0.0157 -0.0228 -0.0294 -0.0340 -0.0371 -0.0389 -0.0397 -0.0398 -0.0396 -0.0395 7 0.0078 0.0125 0.0205 0.0256 0.0297 0.0321 0.0334 0.0338 0.0336 0.0333 0.0329 0.0327 8 -0.0081 -0.0130 -0.0203 -0.0245 -0.0277 -0.0294 -0.0302 -0.0303 -0.0299 -0.0295 -0.0290 -0.0288 L = 9 cosine terms m 0 -0.2053 -0.3132 -0.4435 -0.5056 -0.5469 -0.5669 -0.5745 -0.5741 -0.5685 -0.5630 -0.5578 -0.5555 1 0.0055 0.0058 0.0142 0.0232 0.0328 0.0402 0.0458 0.0499 0.0526 0.0539 0.0547 0.0549 2 0.0731 0.1106 0.1569 0.1794 0.1943 0.2014 0.2040 0.2036 0.2014 0.1993 0.1974 0.1965 3 -0.0426 -0.0611 -0.0665 -0.0606 -0.0513 -0.0428 -0.0355 -0.0293 -0.0244 -0.0217 -0.0197 -0.0190 4 0.0421 0.0769 0.1421 0.1831 0.2165 0.2372 0.2500 0.2570 0.2599 0.2603 0.2599 0.2595 5 0.0225 0.0385 0.0634 0.0777 0.0888 0.0953 0.0992 0.1010 0.1016 0.1014 0.1010 0.1008 6 -0.0078 -0.0138 -0.0250 -0.0321 -0.0377 -0.0412 -0.0433 -0.0444 -0.0448 -0.0448 -0.0447 -0.0446 7 -0.0012 -0.0026 -0.0079 -0.0125 -0.0170 -0.0203 -0.0227 -0.0244 -0.0255 -0.0260 -0.0263 -0.0264 8 0.0064 0.0099 0.0153 0.0185 0.0211 0.0227 0.0237 0.0242 0.0244 0.0243 0.0243 0.0242 9 -0.0045 -0.0069 -0.0104 -0.0123 -0.0137 -0.0145 -0.0150 -0.0152 -0.0152 -0.0151 -0.0150 -0.0150 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 -0.0520 -0.0684 -0.0436 -0.0081 0.0321 0.0645 0.0904 0.1100 0.1245 0.1318 0.1365 0.1383 2 0.0071 0.0161 0.0467 0.0722 0.0967 0.1146 0.1277 0.1368 0.1427 0.1453 0.1467 0.1472 3 0.0627 0.1136 0.2066 0.2643 0.3107 0.3392 0.3565 0.3657 0.3692 0.3693 0.3685 0.3679 4 0.0112 0.0234 0.0394 0.0460 0.0494 0.0501 0.0495 0.0483 0.0467 0.0456 0.0448 0.0444 5 -0.0140 -0.0270 -0.0518 -0.0673 -0.0797 -0.0872 -0.0917 -0.0940 -0.0948 -0.0948 -0.0946 -0.0944 6 -0.0034 -0.0076 -0.0182 -0.0259 -0.0328 -0.0374 -0.0406 -0.0426 -0.0438 -0.0443 -0.0444 -0.0445 7 -0.0012 -0.0015 -0.0013 -0.0010 -0.0008 -0.0006 -0.0005 -0.0004 -0.0003 -0.0003 -0.0003 -0.0003 8 0.0053 0.0083 0.0139 0.0176 0.0208 0.0229 0.0243 0.0252 0.0256 0.0257 0.0258 0.0258 9 -0.0046 -0.0072 -0.0110 -0.0132 -0.0150 -0.0160 -0.0167 -0.0170 -0.0170 -0.0170 -0.0170 -0.0169 L = 10 cosine terms m 0 0.1094 0.1575 0.2038 0.2204 0.2282 0.2294 0.2276 0.2242 0.2200 0.2170 0.2147 0.2137 1 0.0536 0.0759 0.1030 0.1170 0.1273 0.1333 0.1368 0.1386 0.1392 0.1392 0.1390 0.1389 2 -0.0598 -0.0801 -0.0884 -0.0855 -0.0794 -0.0732 -0.0675 -0.0625 -0.0582 -0.0556 -0.0538 -0.0531 3 0.0342 0.0568 0.0893 0.1065 0.1189 0.1258 0.1296 0.1314 0.1319 0.1318 0.1315 0.1313 4 0.0218 0.0441 0.0839 0.1083 0.1282 0.1410 0.1495 0.1550 0.1584 0.1598 0.1605 0.1607 5 0.0105 0.0197 0.0331 0.0402 0.0455 0.0486 0.0505 0.0516 0.0521 0.0522 0.0522 0.0522 6 -0.0013 -0.0050 -0.0129 -0.0180 -0.0223 -0.0250 -0.0268 -0.0280 -0.0287 -0.0290 -0.0292 -0.0292 7 -0.0093 -0.0157 -0.0285 -0.0371 -0.0447 -0.0500 -0.0538 -0.0564 -0.0582 -0.0590 -0.0595 -0.0597 8 0.0023 0.0035 0.0055 0.0066 0.0075 0.0081 0.0084 0.0087 0.0088 0.0088 0.0088 0.0089 9 0.0114 0.0172 0.0258 0.0310 0.0352 0.0379 0.0398 0.0410 0.0417 0.0420 0.0421 0.0421 10 0.0051 0.0077 0.0112 0.0133 0.0149 0.0159 0.0166 0.0170 0.0172 0.0173 0.0173 0.0173 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 0.1167 0.1795 0.2649 0.3113 0.3469 0.3685 0.3820 0.3898 0.3937 0.3948 0.3950 0.3950 2 -0.0358 -0.0487 -0.0545 -0.0522 -0.0473 -0.0420 -0.0371 -0.0328 -0.0290 -0.0268 -0.0252 -0.0246 3 0.0111 0.0288 0.0622 0.0829 0.0997 0.1105 0.1177 0.1223 0.1251 0.1262 0.1269 0.1271 4 0.0321 0.0508 0.0681 0.0732 0.0745 0.0735 0.0716 0.0693 0.0669 0.0654 0.0643 0.0638 5 -0.0206 -0.0369 -0.0618 -0.0755 -0.0859 -0.0920 -0.0956 -0.0976 -0.0986 -0.0988 -0.0988 -0.0987 6 -0.0249 -0.0403 -0.0656 -0.0812 -0.0943 -0.1030 -0.1090 -0.1130 -0.1155 -0.1166 -0.1172 -0.1174 7 0.0069 0.0110 0.0175 0.0214 0.0247 0.0267 0.0281 0.0290 0.0295 0.0297 0.0298 0.0299 8 0.0011 0.0022 0.0055 0.0082 0.0109 0.0128 0.0144 0.0155 0.0163 0.0167 0.0170 0.0171 9 0.0002 0.0004 0.0004 0.0004 0.0004 0.0003 0.0003 0.0002 0.0002 0.0002 0.0001 0.0001 10 -0.0021 -0.0031 -0.0047 -0.0056 -0.0064 -0.0069 -0.0073 -0.0075 -0.0076 -0.0077 -0.0077 -0.0077 L = 11 cosine terms m 0 -0.0945 -0.1236 -0.1494 -0.1597 -0.1662 -0.1696 -0.1713 -0.1719 -0.1719 -0.1716 -0.1713 -0.1711 1 -0.0192 -0.0267 -0.0309 -0.0309 -0.0296 -0.0280 -0.0264 -0.0249 -0.0236 -0.0228 -0.0222 -0.0220 2 0.0881 0.1306 0.1840 0.2114 0.2318 0.2441 0.2519 0.2567 0.2595 0.2606 0.2611 0.2613 3 -0.0563 -0.0723 -0.0848 -0.0892 -0.0918 -0.0930 -0.0934 -0.0934 -0.0932 -0.0930 -0.0927 -0.0926 4 0.0238 0.0425 0.0696 0.0846 0.0963 0.1038 0.1088 0.1122 0.1144 0.1154 0.1160 0.1163 5 0.0193 0.0293 0.0389 0.0425 0.0443 0.0449 0.0449 0.0446 0.0441 0.0438 0.0435 0.0434 6 -0.0132 -0.0221 -0.0348 -0.0418 -0.0472 -0.0506 -0.0528 -0.0542 -0.0551 -0.0555 -0.0558 -0.0559 7 -0.0181 -0.0290 -0.0479 -0.0601 -0.0708 -0.0783 -0.0839 -0.0880 -0.0910 -0.0925 -0.0935 -0.0939 8 0.0023 0.0034 0.0051 0.0062 0.0072 0.0078 0.0083 0.0087 0.0089 0.0090 0.0091 0.0091 9 -0.0008 -0.0009 -0.0001 0.0008 0.0017 0.0025 0.0031 0.0036 0.0040 0.0042 0.0043 0.0044 10 0.0061 0.0088 0.0125 0.0144 0.0160 0.0171 0.0178 0.0182 0.0185 0.0187 0.0188 0.0188 11 0.0002 0.0003 0.0004 0.0004 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 0.0005 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 -0.0988 -0.1316 -0.1614 -0.1729 -0.1796 -0.1825 -0.1834 -0.1832 -0.1824 -0.1816 -0.1809 -0.1806 2 -0.0237 -0.0304 -0.0357 -0.0372 -0.0374 -0.0370 -0.0363 -0.0355 -0.0347 -0.0342 -0.0338 -0.0336 3 0.0093 0.0191 0.0329 0.0401 0.0453 0.0484 0.0504 0.0516 0.0523 0.0525 0.0527 0.0527 4 -0.0176 -0.0237 -0.0350 -0.0429 -0.0502 -0.0555 -0.0596 -0.0627 -0.0650 -0.0662 -0.0670 -0.0674 5 -0.0050 -0.0127 -0.0239 -0.0296 -0.0337 -0.0360 -0.0374 -0.0382 -0.0385 -0.0387 -0.0387 -0.0387 6 -0.0109 -0.0194 -0.0334 -0.0419 -0.0490 -0.0538 -0.0572 -0.0597 -0.0614 -0.0623 -0.0629 -0.0631 7 0.0006 0.0019 0.0042 0.0056 0.0067 0.0074 0.0079 0.0082 0.0084 0.0085 0.0085 0.0085 8 0.0082 0.0130 0.0217 0.0275 0.0325 0.0362 0.0388 0.0408 0.0423 0.0431 0.0436 0.0438 9 0.0004 0.0006 0.0007 0.0008 0.0008 0.0008 0.0008 0.0009 0.0009 0.0009 0.0009 0.0009 10 0.0032 0.0045 0.0061 0.0069 0.0075 0.0078 0.0080 0.0081 0.0082 0.0082 0.0082 0.0082 11 -0.0012 -0.0017 -0.0024 -0.0028 -0.0031 -0.0033 -0.0035 -0.0036 -0.0036 -0.0037 -0.0037 -0.0037 L = 12 cosine terms m 0 0.0664 0.0935 0.1211 0.1326 0.1396 0.1430 0.1446 0.1451 0.1450 0.1447 0.1444 0.1443 1 0.0618 0.0827 0.1042 0.1137 0.1203 0.1240 0.1262 0.1275 0.1281 0.1284 0.1285 0.1285 2 -0.0291 -0.0331 -0.0329 -0.0313 -0.0294 -0.0278 -0.0264 -0.0253 -0.0244 -0.0239 -0.0235 -0.0233 3 0.0361 0.0542 0.0721 0.0788 0.0823 0.0835 0.0836 0.0831 0.0824 0.0819 0.0814 0.0812 4 -0.0086 -0.0070 -0.0041 -0.0027 -0.0016 -0.0010 -0.0006 -0.0003 -0.0002 -0.0001 0.0000 0.0000 5 -0.0186 -0.0255 -0.0362 -0.0428 -0.0486 -0.0527 -0.0558 -0.0582 -0.0600 -0.0609 -0.0616 -0.0618 6 -0.0037 -0.0090 -0.0175 -0.0225 -0.0265 -0.0292 -0.0311 -0.0325 -0.0335 -0.0340 -0.0344 -0.0345 7 -0.0240 -0.0369 -0.0567 -0.0687 -0.0789 -0.0861 -0.0914 -0.0954 -0.0984 -0.1001 -0.1012 -0.1016 8 -0.0086 -0.0119 -0.0160 -0.0182 -0.0199 -0.0211 -0.0220 -0.0226 -0.0231 -0.0234 -0.0235 -0.0236 9 0.0081 0.0120 0.0181 0.0220 0.0253 0.0277 0.0295 0.0309 0.0319 0.0325 0.0329 0.0330 10 0.0003 0.0005 0.0006 0.0007 0.0007 0.0007 0.0008 0.0008 0.0008 0.0008 0.0008 0.0008 11 0.0003 0.0004 0.0004 0.0004 0.0003 0.0002 0.0002 0.0002 0.0001 0.0001 0.0001 0.0001 12 -0.0048 -0.0067 -0.0092 -0.0106 -0.0117 -0.0124 -0.0130 -0.0134 -0.0137 -0.0138 -0.0139 -0.0139 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 0.0847 0.1121 0.1335 0.1395 0.1413 0.1408 0.1393 0.1374 0.1354 0.1340 0.1330 0.1326 2 -0.0290 -0.0406 -0.0552 -0.0629 -0.0688 -0.0726 -0.0752 -0.0770 -0.0782 -0.0788 -0.0792 -0.0794 3 -0.0236 -0.0309 -0.0396 -0.0442 -0.0479 -0.0503 -0.0519 -0.0531 -0.0540 -0.0544 -0.0546 -0.0548 4 0.0223 0.0288 0.0307 0.0290 0.0261 0.0233 0.0207 0.0185 0.0165 0.0154 0.0146 0.0142 5 -0.0070 -0.0134 -0.0200 -0.0224 -0.0235 -0.0238 -0.0236 -0.0233 -0.0229 -0.0227 -0.0224 -0.0223 6 -0.0168 -0.0259 -0.0379 -0.0444 -0.0497 -0.0532 -0.0556 -0.0574 -0.0587 -0.0594 -0.0598 -0.0600 7 0.0018 0.0035 0.0060 0.0075 0.0086 0.0093 0.0098 0.0101 0.0104 0.0105 0.0106 0.0106 8 0.0147 0.0224 0.0348 0.0426 0.0495 0.0544 0.0582 0.0611 0.0633 0.0644 0.0653 0.0656 9 0.0002 0.0003 0.0001 -0.0001 -0.0004 -0.0006 -0.0008 -0.0010 -0.0011 -0.0012 -0.0012 -0.0012 10 -0.0002 -0.0005 -0.0013 -0.0019 -0.0025 -0.0029 -0.0033 -0.0036 -0.0038 -0.0039 -0.0040 -0.0041 11 0.0027 0.0037 0.0051 0.0059 0.0066 0.0070 0.0073 0.0075 0.0077 0.0078 0.0078 0.0079 12 -0.0057 -0.0080 -0.0109 -0.0125 -0.0138 -0.0147 -0.0153 -0.0157 -0.0161 -0.0162 -0.0163 -0.0164