# Rayleigh 40 s group velocity model # from Larson & Ekstrom (1999), for more information, see # http://www.seismology.harvard.edu/projects/surfwave/LE99-Pageoph # Spherical harmonics, columns are: l m Alm Blm 0 0 2.152533 0 1 0 -6.04505 0 1 1 5.471867 5.392955 2 0 -2.987305 0 2 1 3.759049 6.391265 2 2 8.122451 2.287949 3 0 1.246855 0 3 1 -1.464008 3.34977 3 2 4.996281 -5.650361 3 3 1.686028 6.783994 4 0 -1.517916 0 4 1 -2.992859 -2.24672 4 2 4.177597 -2.516434 4 3 2.773147 -1.212385 4 4 -0.1297997 -3.749072 5 0 3.808651 0 5 1 -1.041947 -1.175253 5 2 0.04134092 0.5882694 5 3 1.036379 -0.123545 5 4 -5.024438 -0.1664345 5 5 0.1635131 1.750656 6 0 -1.827003 0 6 1 -0.7333216 -1.843447 6 2 -0.5772156 1.730871 6 3 -0.4181096 2.010345 6 4 -2.232831 2.181181 6 5 -1.506582 -2.194155 6 6 -1.563042 -1.109685 7 0 1.021859 0 7 1 0.7059516 1.678902 7 2 -1.411922 -0.4116298 7 3 0.1763394 -0.1025476 7 4 1.155962 0.06128139 7 5 -0.4897815 0.7758108 7 6 2.167678 0.3758939 7 7 -0.6962718 -2.269894 8 0 -0.4140182 0 8 1 -0.174616 0.1238454 8 2 -1.523117 -0.08884896 8 3 0.01434075 0.3206693 8 4 1.057303 -1.317269 8 5 -0.8379121 0.6813779 8 6 -0.7451915 -1.174817 8 7 3.453664 1.195695 8 8 1.286931 1.844395 9 0 1.700638 0 9 1 1.110246 2.173044 9 2 0.6636593 -0.6742082 9 3 -0.9164799 0.1361444 9 4 -0.1557388 -0.4592857 9 5 0.1618832 0.6848151 9 6 1.068053 -1.894855 9 7 0.1403248 -2.396348 9 8 -1.408947 -1.52424 9 9 -1.118942 0.4742773 10 0 0.7286381 0 10 1 0.3948926 -1.530904 10 2 1.622608 0.1811157 10 3 0.1022158 -0.5637005 10 4 1.386559 -0.1765745 10 5 0.1414814 0.1008998 10 6 0.392022 0.01094615 10 7 0.1590836 0.1689361 10 8 -1.91713 0.8089272 10 9 0.7584141 0.5762497 10 10 -0.6278718 0.4637692 11 0 0.6793097 0 11 1 1.172825 -0.6661088 11 2 0.3888542 -0.1304003 11 3 -0.1866282 -0.7416083 11 4 -0.3077332 0.2304378 11 5 0.7293937 0.4811477 11 6 -0.285392 0.07745744 11 7 -0.5128205 -0.3096933 11 8 -0.557709 -1.408212 11 9 -1.515 1.104929 11 10 0.1909633 0.1827724 11 11 0.06996955 -0.9653204 12 0 0.05199496 0 12 1 -0.2894935 -0.4609095 12 2 0.292324 0.09022974 12 3 -0.3638336 -1.000416 12 4 0.7265233 -0.2189679 12 5 -0.03331636 -0.2335387 12 6 -1.052529 0.4391746 12 7 -0.4627022 -0.517701 12 8 0.2378029 -0.284681 12 9 0.9740902 1.010054 12 10 0.1789421 0.7996895 12 11 0.06162877 -0.2517527 12 12 0.402187 1.178359 13 0 -0.2608569 0 13 1 0.5669749 0.4627302 13 2 -0.1340725 0.5827087 13 3 -0.4681642 0.1937524 13 4 -0.2678461 -0.340037 13 5 0.3163593 -0.3218103 13 6 0.3308751 0.3152796 13 7 0.132503 -0.7821414 13 8 0.4408518 -0.2723591 13 9 0.02388217 0.5919915 13 10 0.3427176 0.5965529 13 11 -0.1319285 -0.3221551 13 12 -0.09639873 0.02582448 13 13 -0.6620384 0.1242702 14 0 0.4421265 0 14 1 -0.1311383 0.5049905 14 2 0.8492832 0.6040611 14 3 0.1410127 -0.1218432 14 4 0.4295332 0.1170413 14 5 -0.1199312 0.6622381 14 6 0.3310846 -0.6200428 14 7 0.2509729 0.2030774 14 8 0.09894735 -0.2981672 14 9 0.5603645 0.4060796 14 10 0.1851358 0.1286909 14 11 -0.03546186 -0.963371 14 12 -0.23704 0.5268595 14 13 0.1077086 -0.0392316 14 14 0.1147873 0.402948 15 0 -0.0439521 0 15 1 0.1508348 -0.2639777 15 2 0.06319645 -0.06425039 15 3 0.2472274 0.2399604 15 4 0.3930134 0.3109478 15 5 -0.1403157 -0.07236452 15 6 -0.4018244 0.2061734 15 7 0.2656241 0.5431977 15 8 0.1191353 -0.4292333 15 9 0.4870892 -0.02682509 15 10 -0.2704782 -0.2116619 15 11 -0.3149291 -0.1829996 15 12 -0.04096722 -0.3089333 15 13 -0.2048047 -0.680443 15 14 -0.2019347 0.1384342 15 15 0.1186168 -0.03774798 16 0 0.4950418 0 16 1 -0.4756031 0.002430518 16 2 0.05632262 0.06312726 16 3 -0.8418729 -0.7493919 16 4 0.1648588 0.03049404 16 5 0.2421655 0.09677345 16 6 0.6592022 0.01696642 16 7 -0.05728463 0.150076 16 8 -0.08682348 -0.03282492 16 9 -0.5365816 -0.3157704 16 10 -0.3992198 0.3255712 16 11 0.1373585 0.4449489 16 12 0.4556429 -0.164262 16 13 0.1299796 0.09402406 16 14 0.4905757 0.3147649 16 15 0.3933512 -0.4487218 16 16 -0.191382 -0.08932956 17 0 0.02173858 0 17 1 0.08243256 -0.6480431 17 2 0.2473774 0.08404716 17 3 0.1272075 0.08358015 17 4 0.08779278 0.3732252 17 5 -0.6413215 -0.1966882 17 6 0.08000209 -0.3507115 17 7 0.02669991 -0.021912 17 8 -0.2211209 0.138135 17 9 -0.149047 -0.2974226 17 10 0.4834934 -0.4139584 17 11 -0.04995511 0.9761332 17 12 -0.1183768 -0.3278762 17 13 0.6223229 -0.5063505 17 14 -0.313727 -0.373476 17 15 0.3440764 1.003537 17 16 1.104271 -0.3355343 17 17 -0.2025659 -0.3894649 18 0 0.1638957 0 18 1 0.3837854 -0.6952163 18 2 -0.3006222 -0.333504 18 3 0.02260421 -0.0927011 18 4 0.2291974 0.3539647 18 5 -0.3344754 -0.008814577 18 6 0.3040879 -0.4352949 18 7 -0.04422598 0.03123232 18 8 -0.2239999 0.2449909 18 9 -0.1894667 0.1883487 18 10 0.03886666 0.07246441 18 11 -0.2369228 -0.07847939 18 12 -0.04672258 0.1865609 18 13 0.08711185 -0.1901155 18 14 -0.3280315 0.2542012 18 15 -0.1093948 -0.1199621 18 16 -0.6061229 -0.550068 18 17 -0.2517914 0.3930631 18 18 -0.1626709 -0.4229379 19 0 0.1629511 0 19 1 0.001163596 0.310302 19 2 0.11469 0.08541624 19 3 -0.4204091 0.1085661 19 4 -0.1367607 -0.03156078 19 5 0.1971945 0.1689616 19 6 -0.2402682 0.0954807 19 7 -0.00889682 0.3542147 19 8 0.1611147 0.1065054 19 9 -0.05135566 0.1545325 19 10 0.1908202 -0.01627629 19 11 0.1359155 0.1371429 19 12 -0.01061867 0.208601 19 13 0.2133194 0.2167841 19 14 -0.09580778 0.009075843 19 15 0.1582433 0.122503 19 16 -0.2374337 -0.1407623 19 17 -0.1065593 -0.07853782 19 18 -0.2957766 0.08525 19 19 -0.2204638 0.3289481 20 0 0.1493826 0 20 1 0.1536877 -0.2906919 20 2 0.1602119 0.1549429 20 3 -0.2879542 0.2470984 20 4 -0.1081444 -0.009657298 20 5 -0.1058594 0.06042097 20 6 -0.2064442 0.1547127 20 7 -0.2150547 0.5002634 20 8 0.1077612 0.03843945 20 9 0.2283918 0.115185 20 10 -0.3385977 0.2168741 20 11 0.1779722 0.03804059 20 12 0.05640556 0.458405 20 13 0.2452176 -0.2451457 20 14 0.3567937 0.1106872 20 15 0.07454437 -0.3755829 20 16 0.03109068 0.1185305 20 17 -0.1776662 0.3568835 20 18 -0.1380942 -0.1261371 20 19 -0.3800758 -0.1201554 20 20 -0.1771025 0.3951646 21 0 0.1242544 0 21 1 0.1248742 0.07542631 21 2 0.1478113 0.2636721 21 3 0.2151962 0.2000736 21 4 -0.2469148 0.3550906 21 5 -0.3379494 0.2701726 21 6 0.3363127 -0.09279253 21 7 0.1512009 -0.3744861 21 8 0.3213878 0.3204079 21 9 -0.08040689 -0.07452856 21 10 0.2847911 0.1217569 21 11 0.476953 -0.5850849 21 12 -0.09029555 0.07926504 21 13 -0.04340407 0.0874466 21 14 -0.07891332 -0.1313605 21 15 0.4032915 -0.1423696 21 16 -0.4618917 -0.2034258 21 17 -0.3125419 0.04597123 21 18 0.04677905 -0.09409001 21 19 -0.7698252 -0.02886319 21 20 -0.2827239 0.09625716 21 21 -0.4683057 -0.128326 22 0 0.03811719 0 22 1 0.3327811 -0.0761533 22 2 0.1651291 0.228733 22 3 0.07497183 -0.1999175 22 4 0.1425133 0.2776006 22 5 -0.4493899 -0.6850086 22 6 -0.1666249 0.04211412 22 7 0.184317 -0.0571011 22 8 0.1770964 -0.07287969 22 9 0.08518678 0.2786418 22 10 0.2086182 -0.2593392 22 11 -0.1293843 -0.0827865 22 12 -0.2918635 -0.08504826 22 13 -0.3484958 0.4307648 22 14 -0.1193431 0.1178752 22 15 -0.06788927 0.02872873 22 16 0.1608518 -0.2865564 22 17 0.05679088 0.1637833 22 18 0.1004725 0.5563114 22 19 -0.0104428 -0.4380834 22 20 -0.05713946 -0.2384106 22 21 0.01146237 0.1497176 22 22 0.05472748 -0.2884956 23 0 -0.001800745 0 23 1 -0.0823185 -0.02015626 23 2 0.1479633 0.07074603 23 3 0.1390445 -0.3062883 23 4 0.2712471 0.2511275 23 5 0.02403759 -0.2307614 23 6 0.1897979 -0.001564039 23 7 -0.3322215 -0.3163001 23 8 -0.2603043 -0.2336888 23 9 0.2830204 0.1035011 23 10 -0.1470621 -0.02139514 23 11 0.04385052 0.01260248 23 12 -0.3789047 -0.3192394 23 13 0.05173705 0.06300998 23 14 -0.07653026 -0.1537039 23 15 0.1120048 -0.05503674 23 16 0.1369995 -0.1539009 23 17 -0.09875145 0.1836809 23 18 0.0166051 -0.2360069 23 19 0.1253985 -0.1021211 23 20 -0.1373758 0.4263041 23 21 0.03373372 0.05228241 23 22 0.633357 -0.03918586 23 23 0.2643546 0.4436898 24 0 0.1616133 0 24 1 -0.07925554 0.2116377 24 2 0.041232 0.4730344 24 3 0.1037882 -0.226943 24 4 -0.09569453 -0.05283362 24 5 -0.4136874 -0.05467067 24 6 0.03194376 -0.02260649 24 7 -0.1634956 0.1851763 24 8 -0.2093893 0.0007477709 24 9 -0.2265388 -0.02148205 24 10 -0.07146845 -0.01639314 24 11 -0.2154253 -0.08043156 24 12 0.02222431 0.3140073 24 13 0.01458236 -0.04519003 24 14 0.05783352 -0.02094322 24 15 0.3392443 -0.3069778 24 16 -0.1295786 0.2864666 24 17 0.03622745 0.1354771 24 18 0.192842 0.07208619 24 19 -0.01615225 -0.02132908 24 20 -0.1075786 -0.1431451 24 21 -0.09696173 0.05882729 24 22 -0.3883972 -0.2526833 24 23 -0.3484049 0.3097662 24 24 -0.295442 -0.2549195 25 0 -0.05166911 0 25 1 -0.04816334 -0.08956973 25 2 -0.2007879 0.08561289 25 3 -0.2374424 0.3729287 25 4 -0.06463318 0.1885599 25 5 0.03244352 0.1027276 25 6 -0.3633884 0.04257588 25 7 0.02728401 -0.03451663 25 8 0.1581819 -0.002049321 25 9 -0.2815019 0.4748883 25 10 -0.1551866 0.06733265 25 11 -0.06156515 -0.009938524 25 12 -0.1867287 -0.1899597 25 13 -0.1123026 -0.1861491 25 14 0.08650987 0.1724143 25 15 0.238131 -0.2674905 25 16 0.1553463 -0.101746 25 17 0.06618999 0.1262457 25 18 -0.04275288 -0.1163127 25 19 0.09497286 -0.07350463 25 20 0.02569366 0.3152687 25 21 0.142866 0.08751776 25 22 0.2393999 0.04835815 25 23 -0.02446165 -0.06498685 25 24 -0.1093278 0.01120454 25 25 0.2514468 -0.4398401 26 0 0.1306522 0 26 1 -0.06242575 0.08520114 26 2 0.08769299 -0.2442671 26 3 -0.307614 0.1359816 26 4 0.01840683 0.08818341 26 5 0.03905413 -0.1047328 26 6 0.1145871 -0.1467427 26 7 -0.2493207 -0.1603888 26 8 0.0823392 -0.2882355 26 9 -0.009753194 0.1093022 26 10 0.4554798 0.09149852 26 11 -0.2070466 0.1372489 26 12 0.2806816 -0.1085445 26 13 -0.05858506 -0.06661361 26 14 0.04225365 -0.2935421 26 15 -0.3773006 0.04819833 26 16 0.2470221 0.006525111 26 17 -0.1657723 -0.1680299 26 18 0.1714967 0.3045934 26 19 -0.2987351 -0.2516568 26 20 -0.3088249 0.3095629 26 21 0.09052254 -0.3348399 26 22 -0.2449878 -0.2289409 26 23 0.1571837 0.1039604 26 24 -0.1289137 -0.3857317 26 25 0.01593092 -0.2534085 26 26 0.08208536 -0.06116463 27 0 -0.1824517 0 27 1 0.03566608 0.005657853 27 2 -0.05648235 0.1455688 27 3 0.0495612 0.05213428 27 4 -0.04598931 0.2909517 27 5 -0.2379122 0.2273385 27 6 0.1444757 0.2393064 27 7 -0.1219054 0.1279596 27 8 0.1503953 -0.09869964 27 9 -0.425648 0.2783208 27 10 0.1095712 0.2464243 27 11 0.1367856 0.1845777 27 12 0.04062205 -0.11616 27 13 0.1984518 -0.1270573 27 14 -0.3387007 0.1230151 27 15 -0.08936591 0.1226714 27 16 -0.09505662 0.005603175 27 17 -0.3496457 0.1037658 27 18 -0.2476593 0.03932878 27 19 -0.05980936 -0.05298845 27 20 0.1605217 -0.2537746 27 21 -0.1868247 -0.2581917 27 22 -0.01133112 0.06753487 27 23 -0.004138511 -0.3190593 27 24 0.2213498 0.09814122 27 25 0.01919679 0.2831605 27 26 0.33983 0.5553692 27 27 -0.14129 -0.0008871424 28 0 0.06293427 0 28 1 -0.1627866 0.2162246 28 2 0.02765756 0.04721297 28 3 0.08990087 0.123952 28 4 -0.1061889 0.3706191 28 5 0.1233288 0.02849035 28 6 0.1538595 -0.04081602 28 7 -0.06855001 0.228081 28 8 -0.06961336 -0.01144386 28 9 0.04431754 0.05290534 28 10 -0.03857677 0.1109389 28 11 0.1419005 0.1496807 28 12 -0.05527831 -0.129588 28 13 0.1460718 0.02536195 28 14 -0.0763747 -0.1323791 28 15 0.01892499 -0.2987937 28 16 -0.1297791 0.2290162 28 17 0.2023232 0.3339165 28 18 0.2374816 -0.131035 28 19 -0.0437087 0.03569657 28 20 -0.2524949 0.04656598 28 21 0.1042136 0.2397834 28 22 0.2059323 0.2445945 28 23 0.228203 -0.04839725 28 24 0.2169318 0.1124632 28 25 -0.2657079 -0.05890257 28 26 -0.05445938 -0.01574823 28 27 0.2071351 0.224526 28 28 -0.19619 -0.07064936 29 0 -0.09703279 0 29 1 0.1748793 0.1190118 29 2 -0.2121406 -0.09113062 29 3 -0.02454836 -0.08969573 29 4 -0.2633352 -0.005372258 29 5 -0.2974731 0.05233892 29 6 0.3316106 -0.2246864 29 7 -0.1146475 -0.1920113 29 8 0.0957495 0.262495 29 9 -0.04640698 0.07407475 29 10 -0.2633195 0.1719326 29 11 -0.08877837 -0.05209498 29 12 -0.1627555 0.2369 29 13 -0.06831737 -0.1287059 29 14 -0.01557686 0.2415285 29 15 0.4829281 -0.3571231 29 16 -0.2172055 -0.07003962 29 17 0.124867 -0.153746 29 18 -0.2285815 0.1420581 29 19 0.2341249 0.2021273 29 20 -0.103273 -0.1794646 29 21 0.2060208 0.1147046 29 22 0.001722722 -0.01650676 29 23 -0.03137143 -0.005770791 29 24 0.07790055 -0.3039255 29 25 -0.1044155 0.1896546 29 26 -0.1309253 0.004354172 29 27 -0.07303853 -0.1342147 29 28 -0.1512872 0.06947812 29 29 -0.1483738 -0.03106031 30 0 -0.1006546 0 30 1 -0.08290993 0.2010781 30 2 0.004216471 -0.08559906 30 3 -0.211262 -0.2016242 30 4 -0.0008518985 0.03011035 30 5 -0.2673078 0.1470555 30 6 0.008894615 0.1895694 30 7 0.05621968 -0.1232966 30 8 -0.06734589 -0.08148509 30 9 0.2063706 0.03310272 30 10 0.1377157 0.2355679 30 11 0.02985432 -0.1351521 30 12 0.07211235 0.0547187 30 13 0.02253575 -0.07747605 30 14 0.1780186 0.2198745 30 15 -0.04527419 -0.02743808 30 16 0.1340719 -0.3135639 30 17 -0.1380336 -0.1762574 30 18 -0.09254324 -0.06347753 30 19 -0.1895866 -0.1465923 30 20 -0.2597712 -0.015271 30 21 0.004817653 -0.1708985 30 22 0.01562822 0.06235629 30 23 0.2000921 0.03139818 30 24 -0.05776728 -0.04721098 30 25 -0.0716802 -0.03344195 30 26 0.1517534 -0.2244798 30 27 0.2936257 0.02721534 30 28 0.04015443 -0.3067544 30 29 -0.1778556 0.1381793 30 30 0.1360294 0.07635739 31 0 -0.04592195 0 31 1 -0.2346146 -0.1562426 31 2 -0.05293425 -0.2684977 31 3 -0.1281924 -0.0941052 31 4 -0.3389721 -0.1087973 31 5 -0.07192752 0.3996097 31 6 -0.06381644 0.2624358 31 7 -0.106704 0.1908484 31 8 -0.1473972 0.03662493 31 9 0.2665273 -0.1383326 31 10 -0.02984362 -0.01603493 31 11 -0.1139043 0.3462544 31 12 0.005056691 0.292073 31 13 0.06083458 0.1903263 31 14 -0.06445164 -0.1618301 31 15 0.03701651 0.183268 31 16 0.015462 -0.3048493 31 17 -0.2362788 0.3165475 31 18 0.2710784 0.1118346 31 19 0.1199199 0.1363771 31 20 -0.3155679 -0.08897702 31 21 0.1475171 -0.009132962 31 22 -0.01130055 -0.1858072 31 23 0.0760206 0.150208 31 24 0.2398242 0.024769 31 25 -0.4149449 -0.06716685 31 26 -0.06652558 -0.002236858 31 27 0.2615323 0.2428541 31 28 0.1254119 0.05988775 31 29 -0.1611658 -0.03261694 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