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 3.1316 3.7383 4.0874 4.0682 3.9243 3.7655 3.6410 3.5624 3.4442 3.1938 2.7257 2.4020 1 0.2717 0.3352 0.3788 0.3825 0.3722 0.3582 0.3466 0.3403 0.3329 0.3120 0.2678 0.2359 2 -0.3850 -0.4874 -0.5651 -0.5770 -0.5654 -0.5455 -0.5282 -0.5200 -0.5127 -0.4843 -0.4176 -0.3677 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 -0.7227 -0.9491 -1.1304 -1.1638 -1.1440 -1.1033 -1.0672 -1.0533 -1.0455 -0.9898 -0.8518 -0.7488 2 -0.0162 -0.0129 -0.0047 0.0002 0.0037 0.0051 0.0054 0.0061 0.0091 0.0120 0.0124 0.0109 L = 3 cosine terms m 0 -0.7107 -0.7761 -0.7048 -0.6154 -0.5261 -0.4573 -0.3951 -0.3275 -0.2455 -0.1882 -0.1570 -0.1540 1 0.1472 0.2000 0.2471 0.2597 0.2595 0.2517 0.2397 0.2243 0.2023 0.1789 0.1499 0.1334 2 -0.3685 -0.5428 -0.7253 -0.7886 -0.8060 -0.7920 -0.7625 -0.7222 -0.6611 -0.5898 -0.4936 -0.4361 3 -0.0068 -0.0082 -0.0083 -0.0077 -0.0069 -0.0063 -0.0057 -0.0050 -0.0040 -0.0033 -0.0028 -0.0026 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 -0.7351 -1.0448 -1.3423 -1.4310 -1.4415 -1.4039 -1.3425 -1.2622 -1.1436 -1.0118 -0.8445 -0.7484 2 0.1499 0.2127 0.2781 0.3013 0.3078 0.3024 0.2910 0.2754 0.2523 0.2258 0.1897 0.1678 3 0.2068 0.2895 0.3694 0.3941 0.3980 0.3883 0.3716 0.3497 0.3177 0.2822 0.2364 0.2097 L = 4 cosine terms m 0 1.0872 1.5045 1.8409 1.9131 1.8804 1.7799 1.6343 1.4532 1.2338 1.0574 0.8903 0.8103 1 0.0801 0.1301 0.1863 0.2079 0.2155 0.2113 0.1993 0.1810 0.1561 0.1342 0.1119 0.1006 2 -0.4591 -0.7542 -1.0816 -1.2045 -1.2450 -1.2176 -1.1457 -1.0381 -0.8930 -0.7664 -0.6379 -0.5733 3 0.0420 0.0644 0.0893 0.0988 0.1020 0.0998 0.0940 0.0853 0.0737 0.0635 0.0531 0.0478 4 0.0013 0.0073 0.0162 0.0206 0.0230 0.0235 0.0229 0.0212 0.0185 0.0159 0.0131 0.0115 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 -0.3812 -0.6451 -0.9315 -1.0321 -1.0589 -1.0289 -0.9621 -0.8661 -0.7394 -0.6305 -0.5218 -0.4681 2 -0.0202 -0.0013 0.0421 0.0692 0.0889 0.0982 0.1006 0.0973 0.0883 0.0775 0.0640 0.0564 3 0.1089 0.1953 0.2980 0.3394 0.3560 0.3513 0.3326 0.3027 0.2611 0.2240 0.1858 0.1664 4 0.1176 0.1797 0.2430 0.2643 0.2689 0.2604 0.2433 0.2193 0.1880 0.1614 0.1349 0.1217 L = 5 cosine terms m 0 -0.7652 -1.1436 -1.4452 -1.4972 -1.4506 -1.3483 -1.2138 -1.0598 -0.8907 -0.7689 -0.6650 -0.6188 1 0.1277 0.2138 0.3102 0.3464 0.3573 0.3474 0.3239 0.2909 0.2499 0.2180 0.1890 0.1755 2 -0.1759 -0.3965 -0.6973 -0.8325 -0.8967 -0.8941 -0.8479 -0.7698 -0.6657 -0.5811 -0.5022 -0.4647 3 -0.0296 -0.0390 -0.0380 -0.0322 -0.0252 -0.0194 -0.0146 -0.0107 -0.0077 -0.0061 -0.0052 -0.0049 4 0.1033 0.1860 0.2841 0.3231 0.3371 0.3299 0.3089 0.2780 0.2391 0.2084 0.1804 0.1673 5 0.0052 0.0104 0.0171 0.0200 0.0213 0.0212 0.0201 0.0182 0.0158 0.0138 0.0119 0.0111 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 -0.3374 -0.5685 -0.7912 -0.8503 -0.8436 -0.7946 -0.7210 -0.6319 -0.5310 -0.4568 -0.3926 -0.3637 2 -0.0150 0.0087 0.0673 0.1053 0.1329 0.1452 0.1466 0.1394 0.1249 0.1110 0.0968 0.0895 3 0.1391 0.2863 0.4772 0.5590 0.5944 0.5879 0.5543 0.5012 0.4321 0.3767 0.3255 0.3014 4 -0.0068 -0.0071 -0.0071 -0.0072 -0.0072 -0.0071 -0.0068 -0.0063 -0.0057 -0.0052 -0.0047 -0.0044 5 0.0329 0.0527 0.0732 0.0802 0.0816 0.0787 0.0730 0.0653 0.0560 0.0488 0.0424 0.0394 L = 6 cosine terms m 0 0.4755 0.6296 0.6766 0.6395 0.5740 0.5069 0.4411 0.3788 0.3199 0.2824 0.2535 0.2415 1 0.0699 0.1236 0.1932 0.2242 0.2387 0.2376 0.2265 0.2085 0.1856 0.1680 0.1524 0.1453 2 -0.2637 -0.5032 -0.7959 -0.9140 -0.9597 -0.9440 -0.8908 -0.8129 -0.7179 -0.6466 -0.5845 -0.5564 3 0.0004 0.0049 0.0189 0.0285 0.0354 0.0384 0.0387 0.0370 0.0339 0.0311 0.0285 0.0272 4 0.0565 0.1234 0.2148 0.2557 0.2752 0.2748 0.2621 0.2410 0.2140 0.1933 0.1749 0.1666 5 -0.0034 -0.0016 0.0025 0.0048 0.0063 0.0070 0.0071 0.0068 0.0061 0.0056 0.0050 0.0048 6 0.0026 0.0037 0.0044 0.0045 0.0044 0.0042 0.0038 0.0034 0.0030 0.0027 0.0025 0.0023 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 -0.0197 -0.0393 -0.0387 -0.0213 0.0017 0.0203 0.0338 0.0421 0.0457 0.0457 0.0443 0.0431 2 -0.0583 -0.0493 0.0124 0.0612 0.1018 0.1247 0.1348 0.1350 0.1275 0.1187 0.1094 0.1047 3 0.1362 0.3064 0.5397 0.6436 0.6926 0.6912 0.6585 0.6049 0.5367 0.4843 0.4381 0.4170 4 0.0176 0.0357 0.0557 0.0625 0.0641 0.0620 0.0577 0.0520 0.0454 0.0407 0.0366 0.0348 5 -0.0251 -0.0484 -0.0776 -0.0898 -0.0947 -0.0935 -0.0885 -0.0809 -0.0716 -0.0645 -0.0583 -0.0555 6 0.0061 0.0091 0.0115 0.0118 0.0115 0.0107 0.0097 0.0086 0.0074 0.0066 0.0059 0.0057 L = 7 cosine terms m 0 -0.5095 -0.8183 -1.1160 -1.2043 -1.2124 -1.1668 -1.0920 -1.0010 -0.9011 -0.8313 -0.7740 -0.7489 1 0.0587 0.1028 0.1622 0.1902 0.2051 0.2071 0.2010 0.1896 0.1746 0.1631 0.1532 0.1487 2 0.0156 -0.0411 -0.1471 -0.2056 -0.2436 -0.2583 -0.2583 -0.2483 -0.2316 -0.2175 -0.2048 -0.1989 3 -0.0747 -0.1033 -0.1112 -0.1032 -0.0905 -0.0784 -0.0674 -0.0576 -0.0489 -0.0437 -0.0399 -0.0383 4 0.0395 0.0988 0.1836 0.2230 0.2437 0.2469 0.2396 0.2255 0.2070 0.1930 0.1808 0.1753 5 0.0210 0.0423 0.0701 0.0825 0.0888 0.0895 0.0866 0.0815 0.0748 0.0698 0.0654 0.0635 6 -0.0058 -0.0119 -0.0200 -0.0236 -0.0253 -0.0254 -0.0245 -0.0230 -0.0211 -0.0196 -0.0184 -0.0178 7 -0.0047 -0.0090 -0.0148 -0.0176 -0.0191 -0.0193 -0.0188 -0.0178 -0.0164 -0.0153 -0.0144 -0.0140 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 -0.1112 -0.1178 -0.0468 0.0221 0.0866 0.1290 0.1548 0.1671 0.1689 0.1654 0.1599 0.1569 2 0.0088 0.0538 0.1434 0.1973 0.2353 0.2519 0.2544 0.2468 0.2320 0.2191 0.2071 0.2015 3 0.1338 0.2975 0.5222 0.6238 0.6753 0.6805 0.6581 0.6180 0.5666 0.5277 0.4941 0.4791 4 0.0286 0.0571 0.0881 0.0986 0.1013 0.0984 0.0925 0.0850 0.0766 0.0706 0.0657 0.0635 5 -0.0248 -0.0513 -0.0864 -0.1019 -0.1095 -0.1098 -0.1058 -0.0992 -0.0908 -0.0845 -0.0791 -0.0767 6 -0.0213 -0.0398 -0.0636 -0.0741 -0.0792 -0.0795 -0.0768 -0.0721 -0.0661 -0.0617 -0.0578 -0.0561 7 -0.0165 -0.0280 -0.0413 -0.0466 -0.0487 -0.0482 -0.0461 -0.0430 -0.0393 -0.0365 -0.0342 -0.0331 L = 8 cosine terms m 0 0.2407 0.2917 0.2798 0.2450 0.2038 0.1695 0.1409 0.1175 0.0984 0.0876 0.0801 0.0771 1 0.0667 0.1047 0.1519 0.1734 0.1850 0.1871 0.1834 0.1760 0.1662 0.1587 0.1524 0.1496 2 -0.1543 -0.2416 -0.3231 -0.3472 -0.3508 -0.3409 -0.3239 -0.3032 -0.2807 -0.2652 -0.2526 -0.2472 3 0.0390 0.0734 0.1209 0.1433 0.1555 0.1583 0.1554 0.1491 0.1406 0.1342 0.1286 0.1262 4 0.0557 0.1258 0.2227 0.2680 0.2935 0.3002 0.2958 0.2845 0.2688 0.2568 0.2464 0.2417 5 0.0068 0.0192 0.0358 0.0433 0.0474 0.0484 0.0476 0.0457 0.0432 0.0412 0.0395 0.0387 6 0.0018 -0.0008 -0.0056 -0.0082 -0.0097 -0.0103 -0.0103 -0.0100 -0.0095 -0.0091 -0.0087 -0.0086 7 0.0141 0.0210 0.0271 0.0288 0.0290 0.0282 0.0267 0.0250 0.0232 0.0219 0.0209 0.0205 8 -0.0079 -0.0130 -0.0189 -0.0213 -0.0225 -0.0225 -0.0219 -0.0209 -0.0197 -0.0187 -0.0179 -0.0176 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 0.1302 0.2457 0.4071 0.4880 0.5379 0.5549 0.5517 0.5348 0.5089 0.4882 0.4699 0.4616 2 -0.0547 -0.0464 0.0028 0.0420 0.0761 0.0976 0.1103 0.1164 0.1175 0.1162 0.1141 0.1130 3 0.1050 0.2314 0.4026 0.4813 0.5243 0.5342 0.5250 0.5037 0.4752 0.4534 0.4348 0.4264 4 0.0583 0.0978 0.1358 0.1471 0.1490 0.1447 0.1372 0.1282 0.1184 0.1117 0.1063 0.1040 5 -0.0231 -0.0485 -0.0814 -0.0958 -0.1030 -0.1040 -0.1015 -0.0968 -0.0909 -0.0865 -0.0828 -0.0812 6 -0.0038 -0.0120 -0.0255 -0.0329 -0.0378 -0.0400 -0.0404 -0.0396 -0.0380 -0.0366 -0.0353 -0.0347 7 0.0108 0.0184 0.0277 0.0318 0.0338 0.0341 0.0333 0.0318 0.0299 0.0285 0.0274 0.0268 8 -0.0117 -0.0187 -0.0264 -0.0293 -0.0305 -0.0303 -0.0293 -0.0278 -0.0260 -0.0247 -0.0237 -0.0232 L = 9 cosine terms m 0 -0.2958 -0.4249 -0.5404 -0.5756 -0.5833 -0.5728 -0.5529 -0.5279 -0.5005 -0.4816 -0.4664 -0.4599 1 0.0023 0.0099 0.0284 0.0408 0.0508 0.0566 0.0598 0.0609 0.0607 0.0600 0.0592 0.0588 2 0.1046 0.1502 0.1919 0.2045 0.2069 0.2026 0.1950 0.1856 0.1754 0.1685 0.1630 0.1606 3 -0.0650 -0.0719 -0.0583 -0.0440 -0.0301 -0.0201 -0.0127 -0.0073 -0.0034 -0.0015 -0.0002 0.0003 4 0.0618 0.1243 0.2039 0.2398 0.2602 0.2664 0.2647 0.2581 0.2485 0.2412 0.2348 0.2320 5 0.0333 0.0576 0.0851 0.0965 0.1024 0.1036 0.1021 0.0991 0.0952 0.0922 0.0897 0.0886 6 -0.0113 -0.0221 -0.0356 -0.0416 -0.0449 -0.0458 -0.0453 -0.0440 -0.0423 -0.0410 -0.0399 -0.0394 7 -0.0006 -0.0057 -0.0149 -0.0205 -0.0247 -0.0271 -0.0282 -0.0285 -0.0282 -0.0278 -0.0274 -0.0271 8 0.0088 0.0141 0.0203 0.0230 0.0246 0.0250 0.0247 0.0241 0.0232 0.0225 0.0219 0.0216 9 -0.0063 -0.0097 -0.0133 -0.0147 -0.0154 -0.0154 -0.0151 -0.0146 -0.0140 -0.0135 -0.0131 -0.0130 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 -0.0863 -0.0652 0.0096 0.0643 0.1111 0.1411 0.1601 0.1708 0.1755 0.1762 0.1756 0.1751 2 0.0052 0.0341 0.0854 0.1158 0.1387 0.1511 0.1571 0.1584 0.1567 0.1542 0.1517 0.1505 3 0.0926 0.1819 0.2936 0.3430 0.3703 0.3778 0.3743 0.3641 0.3500 0.3393 0.3301 0.3261 4 0.0213 0.0370 0.0489 0.0505 0.0486 0.0454 0.0418 0.0382 0.0348 0.0327 0.0312 0.0305 5 -0.0214 -0.0451 -0.0750 -0.0881 -0.0951 -0.0969 -0.0957 -0.0929 -0.0891 -0.0863 -0.0838 -0.0828 6 -0.0045 -0.0146 -0.0298 -0.0378 -0.0432 -0.0456 -0.0464 -0.0461 -0.0450 -0.0439 -0.0430 -0.0426 7 -0.0017 -0.0015 -0.0009 -0.0006 -0.0004 -0.0003 -0.0003 -0.0003 -0.0003 -0.0003 -0.0003 -0.0003 8 0.0070 0.0124 0.0196 0.0233 0.0256 0.0265 0.0266 0.0262 0.0255 0.0248 0.0243 0.0240 9 -0.0064 -0.0102 -0.0144 -0.0163 -0.0172 -0.0174 -0.0172 -0.0167 -0.0161 -0.0156 -0.0152 -0.0150 L = 10 cosine terms m 0 0.1582 0.2045 0.2320 0.2325 0.2239 0.2124 0.2001 0.1880 0.1766 0.1695 0.1640 0.1618 1 0.0740 0.1013 0.1282 0.1384 0.1430 0.1433 0.1412 0.1378 0.1336 0.1305 0.1281 0.1270 2 -0.0839 -0.0925 -0.0827 -0.0707 -0.0584 -0.0487 -0.0410 -0.0349 -0.0300 -0.0273 -0.0254 -0.0246 3 0.0535 0.0858 0.1189 0.1306 0.1350 0.1343 0.1311 0.1267 0.1217 0.1183 0.1155 0.1143 4 0.0375 0.0773 0.1267 0.1492 0.1629 0.1684 0.1694 0.1676 0.1642 0.1613 0.1588 0.1576 5 0.0179 0.0313 0.0453 0.0507 0.0533 0.0538 0.0533 0.0521 0.0505 0.0494 0.0484 0.0480 6 -0.0035 -0.0114 -0.0218 -0.0266 -0.0295 -0.0307 -0.0309 -0.0305 -0.0299 -0.0293 -0.0288 -0.0286 7 -0.0133 -0.0261 -0.0441 -0.0536 -0.0602 -0.0636 -0.0651 -0.0654 -0.0648 -0.0641 -0.0634 -0.0630 8 0.0033 0.0052 0.0075 0.0085 0.0090 0.0092 0.0092 0.0090 0.0088 0.0086 0.0085 0.0084 9 0.0160 0.0247 0.0351 0.0399 0.0429 0.0442 0.0444 0.0439 0.0431 0.0424 0.0418 0.0415 10 0.0072 0.0108 0.0149 0.0167 0.0177 0.0181 0.0181 0.0178 0.0174 0.0171 0.0168 0.0167 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 0.1700 0.2560 0.3475 0.3848 0.4045 0.4094 0.4063 0.3985 0.3879 0.3799 0.3732 0.3702 2 -0.0517 -0.0573 -0.0495 -0.0394 -0.0285 -0.0197 -0.0127 -0.0073 -0.0030 -0.0007 0.0008 0.0014 3 0.0229 0.0563 0.0982 0.1172 0.1286 0.1330 0.1337 0.1322 0.1293 0.1269 0.1249 0.1239 4 0.0510 0.0684 0.0759 0.0733 0.0675 0.0615 0.0558 0.0506 0.0461 0.0434 0.0414 0.0406 5 -0.0337 -0.0585 -0.0856 -0.0960 -0.1010 -0.1017 -0.1003 -0.0977 -0.0945 -0.0922 -0.0903 -0.0895 6 -0.0363 -0.0618 -0.0938 -0.1091 -0.1191 -0.1236 -0.1249 -0.1242 -0.1223 -0.1205 -0.1188 -0.1181 7 0.0100 0.0166 0.0246 0.0282 0.0304 0.0312 0.0313 0.0310 0.0303 0.0298 0.0293 0.0291 8 0.0012 0.0046 0.0106 0.0142 0.0170 0.0187 0.0196 0.0201 0.0202 0.0202 0.0201 0.0200 9 0.0004 0.0004 0.0004 0.0003 0.0002 0.0001 0.0000 0.0000 -0.0001 -0.0001 -0.0001 -0.0001 10 -0.0029 -0.0045 -0.0064 -0.0073 -0.0078 -0.0081 -0.0081 -0.0080 -0.0079 -0.0078 -0.0077 -0.0076 L = 11 cosine terms m 0 -0.1276 -0.1536 -0.1715 -0.1761 -0.1768 -0.1752 -0.1724 -0.1688 -0.1650 -0.1623 -0.1602 -0.1593 1 -0.0282 -0.0319 -0.0295 -0.0256 -0.0213 -0.0178 -0.0149 -0.0125 -0.0106 -0.0095 -0.0088 -0.0085 2 0.1327 0.1878 0.2417 0.2618 0.2715 0.2732 0.2710 0.2664 0.2607 0.2566 0.2532 0.2517 3 -0.0748 -0.0873 -0.0945 -0.0958 -0.0956 -0.0945 -0.0929 -0.0910 -0.0890 -0.0877 -0.0866 -0.0861 4 0.0422 0.0706 0.1013 0.1141 0.1215 0.1243 0.1247 0.1237 0.1218 0.1203 0.1190 0.1185 5 0.0303 0.0399 0.0454 0.0455 0.0441 0.0422 0.0401 0.0382 0.0364 0.0352 0.0344 0.0340 6 -0.0221 -0.0354 -0.0495 -0.0552 -0.0582 -0.0592 -0.0590 -0.0582 -0.0571 -0.0563 -0.0556 -0.0553 7 -0.0281 -0.0484 -0.0754 -0.0895 -0.0996 -0.1053 -0.1084 -0.1097 -0.1099 -0.1096 -0.1091 -0.1089 8 0.0034 0.0052 0.0076 0.0088 0.0096 0.0101 0.0103 0.0103 0.0103 0.0102 0.0102 0.0101 9 -0.0012 -0.0001 0.0021 0.0036 0.0049 0.0058 0.0065 0.0069 0.0072 0.0073 0.0074 0.0074 10 0.0089 0.0127 0.0168 0.0186 0.0197 0.0201 0.0202 0.0201 0.0199 0.0197 0.0195 0.0194 11 0.0003 0.0004 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 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 -0.1362 -0.1659 -0.1848 -0.1877 -0.1855 -0.1811 -0.1757 -0.1700 -0.1643 -0.1606 -0.1577 -0.1565 2 -0.0319 -0.0369 -0.0381 -0.0365 -0.0339 -0.0312 -0.0288 -0.0266 -0.0246 -0.0234 -0.0226 -0.0222 3 0.0191 0.0334 0.0474 0.0524 0.0546 0.0549 0.0542 0.0531 0.0517 0.0507 0.0499 0.0495 4 -0.0232 -0.0355 -0.0536 -0.0639 -0.0719 -0.0766 -0.0795 -0.0810 -0.0816 -0.0816 -0.0814 -0.0813 5 -0.0127 -0.0242 -0.0352 -0.0387 -0.0399 -0.0395 -0.0385 -0.0372 -0.0358 -0.0348 -0.0341 -0.0338 6 -0.0189 -0.0338 -0.0520 -0.0607 -0.0665 -0.0695 -0.0708 -0.0711 -0.0708 -0.0703 -0.0699 -0.0696 7 0.0018 0.0042 0.0071 0.0083 0.0089 0.0091 0.0091 0.0090 0.0088 0.0086 0.0085 0.0084 8 0.0126 0.0219 0.0347 0.0415 0.0465 0.0494 0.0509 0.0517 0.0518 0.0517 0.0516 0.0515 9 0.0006 0.0008 0.0008 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 10 0.0046 0.0062 0.0078 0.0083 0.0085 0.0086 0.0085 0.0083 0.0081 0.0080 0.0079 0.0078 11 -0.0017 -0.0024 -0.0033 -0.0036 -0.0039 -0.0040 -0.0040 -0.0040 -0.0040 -0.0039 -0.0039 -0.0039 L = 12 cosine terms m 0 0.1015 0.1287 0.1466 0.1487 0.1459 0.1412 0.1358 0.1304 0.1253 0.1221 0.1197 0.1187 1 0.0891 0.1107 0.1276 0.1323 0.1334 0.1324 0.1303 0.1278 0.1251 0.1233 0.1218 0.1212 2 -0.0347 -0.0334 -0.0280 -0.0245 -0.0215 -0.0194 -0.0179 -0.0167 -0.0157 -0.0152 -0.0148 -0.0147 3 0.0594 0.0765 0.0851 0.0838 0.0794 0.0743 0.0693 0.0646 0.0605 0.0580 0.0561 0.0553 4 -0.0068 -0.0038 -0.0010 -0.0002 0.0001 0.0001 0.0000 -0.0001 -0.0003 -0.0004 -0.0004 -0.0005 5 -0.0274 -0.0396 -0.0552 -0.0633 -0.0691 -0.0726 -0.0746 -0.0756 -0.0760 -0.0761 -0.0760 -0.0760 6 -0.0103 -0.0198 -0.0305 -0.0352 -0.0382 -0.0396 -0.0402 -0.0404 -0.0402 -0.0400 -0.0398 -0.0397 7 -0.0403 -0.0627 -0.0901 -0.1038 -0.1136 -0.1193 -0.1225 -0.1242 -0.1249 -0.1250 -0.1249 -0.1248 8 -0.0128 -0.0172 -0.0220 -0.0242 -0.0257 -0.0265 -0.0269 -0.0270 -0.0270 -0.0269 -0.0268 -0.0268 9 0.0130 0.0201 0.0291 0.0337 0.0373 0.0393 0.0406 0.0414 0.0417 0.0418 0.0418 0.0418 10 0.0005 0.0007 0.0008 0.0008 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 0.0009 11 0.0004 0.0004 0.0002 0.0001 0.0000 -0.0001 -0.0002 -0.0003 -0.0003 -0.0003 -0.0003 -0.0004 12 -0.0073 -0.0100 -0.0129 -0.0143 -0.0152 -0.0156 -0.0158 -0.0159 -0.0159 -0.0158 -0.0157 -0.0157 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 0.1396 0.1433 0.1374 0.1285 0.1200 0.1122 0.1053 0.0992 0.0956 0.0929 0.0918 2 -0.0440 -0.0595 -0.0753 -0.0815 -0.0849 -0.0861 -0.0861 -0.0854 -0.0844 -0.0836 -0.0830 -0.0827 3 -0.0332 -0.0425 -0.0521 -0.0563 -0.0588 -0.0600 -0.0603 -0.0602 -0.0598 -0.0595 -0.0591 -0.0590 4 0.0310 0.0309 0.0227 0.0153 0.0079 0.0023 -0.0022 -0.0058 -0.0086 -0.0101 -0.0112 -0.0116 5 -0.0151 -0.0214 -0.0241 -0.0231 -0.0209 -0.0186 -0.0164 -0.0145 -0.0128 -0.0119 -0.0111 -0.0109 6 -0.0283 -0.0414 -0.0553 -0.0614 -0.0653 -0.0672 -0.0681 -0.0682 -0.0680 -0.0677 -0.0674 -0.0672 7 0.0039 0.0067 0.0097 0.0108 0.0115 0.0117 0.0117 0.0116 0.0114 0.0113 0.0112 0.0111 8 0.0243 0.0386 0.0572 0.0669 0.0743 0.0787 0.0815 0.0831 0.0840 0.0842 0.0843 0.0843 9 0.0003 0.0000 -0.0007 -0.0012 -0.0017 -0.0020 -0.0022 -0.0024 -0.0025 -0.0026 -0.0026 -0.0027 10 -0.0006 -0.0015 -0.0031 -0.0041 -0.0049 -0.0055 -0.0059 -0.0061 -0.0063 -0.0064 -0.0064 -0.0065 11 0.0041 0.0056 0.0073 0.0081 0.0086 0.0089 0.0090 0.0090 0.0090 0.0090 0.0090 0.0090 12 -0.0086 -0.0118 -0.0152 -0.0168 -0.0178 -0.0183 -0.0186 -0.0186 -0.0186 -0.0185 -0.0184 -0.0184