# Rayleigh 90 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 4.435718 0 1 0 0.9967371 0 1 1 -1.352163 0.1646524 2 0 0.7609721 0 2 1 1.58016 2.662547 2 2 2.717883 -1.470112 3 0 0.5227773 0 3 1 -1.577576 0.3599186 3 2 -0.7978421 0.1752047 3 3 2.645584 1.689424 4 0 0.9467325 0 4 1 -1.758309 -0.1427219 4 2 -1.887488 0.7175851 4 3 2.070816 -0.1287965 4 4 -0.1985033 2.207788 5 0 -0.9638363 0 5 1 -2.118533 -0.6672283 5 2 -3.079053 0.06307553 5 3 1.054401 -1.327992 5 4 2.735941 -3.168702 5 5 -1.133327 -1.751829 6 0 0.3693484 0 6 1 0.9488023 1.057525 6 2 -1.596106 2.105419 6 3 -0.159101 -1.105648 6 4 0.3848319 0.7780726 6 5 -2.489767 -0.4733065 6 6 -0.07473399 0.3736336 7 0 -0.5954115 0 7 1 0.2954945 -1.783298 7 2 -0.03508786 0.7978027 7 3 0.7563707 -0.8785928 7 4 -0.348657 1.597441 7 5 -0.2118863 1.078859 7 6 0.3001707 -2.20535 7 7 0.9623395 0.2954854 8 0 -0.5481727 0 8 1 0.04387247 1.055164 8 2 -1.762729 -0.2471735 8 3 -0.7117832 -0.4857366 8 4 0.1714603 0.07008437 8 5 0.2238548 0.5692804 8 6 -0.5197653 0.1073737 8 7 0.4157896 0.3113164 8 8 0.5777888 -0.4091812 9 0 0.08552293 0 9 1 0.4065768 0.5967233 9 2 -0.5888551 -0.08127236 9 3 -1.568638 -0.3521802 9 4 0.1198576 0.165467 9 5 0.9796674 -0.3298921 9 6 -0.7774216 -0.6283245 9 7 -0.4381304 -1.341372 9 8 -0.2278136 -0.5228069 9 9 -0.1117431 0.219976 10 0 -0.2313157 0 10 1 0.5736098 0.2621619 10 2 -0.3433872 -0.1893406 10 3 0.03352672 -0.3384114 10 4 0.2073397 -0.1031131 10 5 -0.2878312 0.2287853 10 6 0.08188916 0.1867847 10 7 -0.08490832 -0.2671245 10 8 0.04159158 -0.1419708 10 9 0.1874129 0.6124812 10 10 -0.6321938 0.3390456 11 0 0.1686493 0 11 1 -0.4129583 0.4438095 11 2 -0.07048307 0.1066642 11 3 -0.4576742 -0.2482408 11 4 -0.1584976 0.7876931 11 5 0.6859285 1.178487 11 6 0.5370986 0.5087972 11 7 -0.3551191 -0.2455425 11 8 -0.3061741 -0.02520804 11 9 -0.2488015 1.061486 11 10 -0.2798312 0.4347678 11 11 -1.082721 0.8846658 12 0 -0.1421019 0 12 1 -0.3741226 0.2460982 12 2 0.3162578 -0.6783335 12 3 -0.08799876 0.1921051 12 4 -0.2073713 0.8231426 12 5 0.2194851 -0.3863057 12 6 0.02967819 0.04557294 12 7 -0.4952659 0.4896626 12 8 -0.1753718 -0.423009 12 9 0.9807989 0.100116 12 10 0.2332301 0.7524717 12 11 0.5862733 0.6542493 12 12 -0.2247769 -0.6166829 13 0 -0.1494582 0 13 1 -0.4450329 -0.2138855 13 2 0.1233114 0.2077464 13 3 -0.149241 0.2065574 13 4 -0.1467223 0.07452919 13 5 0.1519781 -0.1649574 13 6 0.1630779 0.06764814 13 7 -0.03734188 -0.4138952 13 8 -0.1072799 -0.1206204 13 9 0.3333268 0.2236395 13 10 0.1301494 0.05653758 13 11 -0.2566834 0.03028601 13 12 0.1122774 -0.3982626 13 13 -0.4312721 0.3196876 14 0 -0.1633573 0 14 1 0.07368384 0.2881193 14 2 0.2694018 0.01089439 14 3 0.3099378 0.2251618 14 4 -0.1947454 0.02158848 14 5 0.07958882 0.03673278 14 6 0.2770053 0.05367898 14 7 0.0287526 0.1503607 14 8 0.02506048 -0.3279287 14 9 0.1074832 0.04212638 14 10 -0.09493824 -0.06432596 14 11 0.2431071 -0.4108208 14 12 0.05903045 0.08640607 14 13 0.04077845 -0.04967508 14 14 0.4748898 0.09601342 15 0 0.03763595 0 15 1 -0.1191158 -0.2487157 15 2 -0.02635889 0.1278186 15 3 0.3623771 0.2276375 15 4 -0.07298312 0.1399617 15 5 -0.04659179 -0.1403423 15 6 0.178214 -0.01574181 15 7 0.2096976 0.1700918 15 8 0.05246227 -0.1440532 15 9 -0.1481075 0.1978702 15 10 -0.2042435 -0.1322273 15 11 0.1475392 0.04723008 15 12 -0.1916042 -0.3386181 15 13 -0.2146387 -0.009849733 15 14 0.1498354 -0.350669 15 15 0.09089347 -0.1588617 16 0 0.05009097 0 16 1 0.1209536 0.2281276 16 2 -0.05361574 -0.06317904 16 3 -0.004056874 -0.02175179 16 4 0.0219026 -0.009783918 16 5 0.1419141 -0.04684578 16 6 0.06946774 0.1721184 16 7 0.02334573 0.1370435 16 8 0.01344914 -0.07364119 16 9 -0.2484053 -0.1300578 16 10 0.0028772 -0.003321892 16 11 -0.01997999 0.1119767 16 12 -0.01430916 -0.03928195 16 13 0.02510392 0.07751784 16 14 0.03520016 -0.07931323 16 15 0.168 -0.1173549 16 16 0.07920708 0.1894725 17 0 -0.02325748 0 17 1 -0.07013905 -0.1476613 17 2 -0.005445171 -0.191706 17 3 0.3392051 0.1841903 17 4 0.07652114 0.1316491 17 5 -0.02235518 -0.04941738 17 6 -0.01784215 0.04385852 17 7 0.127674 0.04003067 17 8 -0.2072504 0.1398147 17 9 -0.1766002 -0.3488976 17 10 0.2096869 -0.1108945 17 11 -0.06182069 0.1643706 17 12 -0.1688281 -0.1341774 17 13 0.05988667 -0.1652412 17 14 0.2877585 0.09137876 17 15 -0.2744154 -0.0253206 17 16 0.3151049 -0.1976133 17 17 0.07443182 0.213527 18 0 0.0188931 0 18 1 0.2010477 -0.1233265 18 2 -0.1563511 0.07212652 18 3 0.0724053 -0.001711649 18 4 -0.3880711 -0.176697 18 5 0.0208484 -0.1734682 18 6 -0.04872438 0.1529683 18 7 0.02468864 -0.06416329 18 8 -0.1160651 0.3222008 18 9 -0.1611569 -0.1019936 18 10 -0.02180599 -0.1562141 18 11 -0.1859093 0.1776315 18 12 -0.002906067 0.241852 18 13 0.004945986 -0.06640907 18 14 -0.1134532 -0.09017719 18 15 0.01674375 -0.2617798 18 16 0.03275116 -0.01538086 18 17 0.0151265 0.05123278 18 18 0.006885088 0.1089695 19 0 -0.07613155 0 19 1 0.09955842 -0.1672494 19 2 -0.1165088 -0.140785 19 3 -0.04253735 0.1668702 19 4 0.06091638 -0.2946692 19 5 0.17631 0.07188441 19 6 -0.01770005 0.04045239 19 7 -0.1335698 -0.03107689 19 8 -0.07326967 0.003508066 19 9 -0.1999283 0.02910883 19 10 0.03649823 -0.1227116 19 11 0.2168162 0.2186948 19 12 0.1481651 -0.2083197 19 13 -0.02036585 -0.1254524 19 14 0.0558304 0.04557205 19 15 -0.1971089 0.05977178 19 16 -0.1986492 -0.002823779 19 17 -0.01776889 0.08910484 19 18 -0.3073807 0.1557389 19 19 -0.5793361 0.08024716 20 0 0.01706625 0 20 1 0.1462731 0.005803698 20 2 -0.1210007 -0.09471302 20 3 -0.07478045 0.08743942 20 4 -0.2315814 0.08761782 20 5 0.1363373 -0.0159945 20 6 0.002756349 -0.1443547 20 7 0.0006257459 -0.02036693 20 8 0.2317318 0.1109496 20 9 0.1909343 0.07301091 20 10 0.07949459 -0.0009986255 20 11 0.07333829 -0.1292086 20 12 0.2365001 0.1703428 20 13 0.04351792 0.1237679 20 14 0.003732472 0.143914 20 15 -0.2274645 -0.2448985 20 16 -0.07668341 0.11793 20 17 0.1137903 -0.1265693 20 18 -0.1389631 0.01843569 20 19 -0.156135 0.2505525 20 20 -0.06586126 -0.1513129 21 0 -0.04157371 0 21 1 -0.07295846 0.1622602 21 2 0.1184076 -0.07450202 21 3 0.1519005 0.1823598 21 4 -0.2475532 0.224967 21 5 0.1593796 -0.1101075 21 6 0.01005589 0.2535865 21 7 0.02598383 -0.09012729 21 8 0.3057923 -0.07961205 21 9 0.03103355 0.1184533 21 10 0.04396265 0.02330983 21 11 -0.1276789 -0.2214409 21 12 -0.1195105 -0.1401152 21 13 0.002580793 0.09380976 21 14 -0.08788411 0.01131856 21 15 -0.02180648 -0.04190581 21 16 -0.09072855 -0.1153531 21 17 -0.01580097 0.08151412 21 18 -0.1202525 -0.2453255 21 19 -0.1152273 -0.08208386 21 20 0.07534916 -0.1148489 21 21 -0.04618763 -0.2500053 22 0 0.06277739 0 22 1 0.0721877 0.2660972 22 2 -0.11986 0.02785846 22 3 0.1123093 0.06797718 22 4 -0.05633911 -0.0555032 22 5 -0.0448579 -0.04055262 22 6 -0.06344094 0.0584806 22 7 -0.107241 -0.0986592 22 8 0.08119386 0.1009285 22 9 0.07676409 0.1067343 22 10 -0.05569888 -0.1112416 22 11 -0.0301594 -0.1382496 22 12 -0.1261503 -0.1257675 22 13 -0.1582461 0.04613143 22 14 -0.2512507 0.1303436 22 15 0.0695684 -0.09005328 22 16 0.0802963 0.1049827 22 17 -0.072811 -0.01398625 22 18 0.1886456 0.1251861 22 19 -0.04015888 0.07393211 22 20 -0.06974177 0.02587132 22 21 0.07517578 0.1524243 22 22 0.03461063 -0.255523 23 0 -0.1283302 0 23 1 -0.104866 0.1278623 23 2 0.06524704 0.05411512 23 3 0.0753286 -0.0106865 23 4 0.2733109 -0.09989867 23 5 -0.05494707 -0.07717524 23 6 -0.1188847 0.001505595 23 7 -0.07453748 -0.03521353 23 8 -0.02457204 -0.1015457 23 9 0.2837968 -0.02356853 23 10 -0.1727932 -0.05022303 23 11 0.007176945 0.06214532 23 12 -0.06460284 0.02793728 23 13 0.1024133 -0.007955479 23 14 -0.1017838 0.0522098 23 15 0.02888053 -0.02951096 23 16 0.02461267 0.0008254449 23 17 -0.1391282 -0.08813157 23 18 0.01387595 -0.03759273 23 19 0.211924 -0.03589337 23 20 -0.1210283 0.02114896 23 21 -0.1146313 -0.03762015 23 22 0.1764005 -0.08784454 23 23 0.01122362 0.1047938 24 0 0.03821489 0 24 1 0.1116693 0.08000347 24 2 -0.09794686 0.06916107 24 3 0.05243278 -0.08127382 24 4 -0.141779 -0.03120597 24 5 0.09779072 0.2190709 24 6 -0.1502492 -0.01209382 24 7 0.1820164 0.1000055 24 8 0.01370664 0.1448373 24 9 -0.05778827 -0.1424771 24 10 -0.001984485 -0.0958539 24 11 0.07335269 -0.01737896 24 12 -0.1686942 0.2557317 24 13 -0.2051682 -0.09612925 24 14 0.2205362 0.07857344 24 15 0.05517384 -0.1355844 24 16 -0.1088661 0.06713049 24 17 -0.1072812 0.02984156 24 18 0.1139429 -0.06896075 24 19 0.011116 0.1702275 24 20 -0.001739456 0.1560847 24 21 0.05240763 -0.09129637 24 22 -0.1093926 -0.1386631 24 23 0.001990739 -0.0276686 24 24 0.1487632 0.05060763 25 0 -0.05496584 0 25 1 0.3540789 -0.2624113 25 2 -0.05381667 0.1945405 25 3 0.05075675 -0.02658271 25 4 -0.1149859 0.1651423 25 5 0.06489606 0.02668015 25 6 -0.2061795 -0.05538065 25 7 -0.0002176807 -0.04456937 25 8 -0.05782085 -0.07338972 25 9 -0.2864126 0.1312142 25 10 -0.0282796 -0.101568 25 11 0.1602299 0.04095424 25 12 -0.008389345 -0.04531473 25 13 0.09821475 -0.04367034 25 14 0.05754738 0.2829855 25 15 -0.04340781 -0.04398496 25 16 0.08915417 -0.0669316 25 17 -0.0965451 0.1467445 25 18 -0.01053843 0.01721971 25 19 0.08718833 -0.3089682 25 20 -0.02817289 0.02928707 25 21 0.0224214 0.05420522 25 22 0.1384199 -0.1208739 25 23 -0.01378543 -0.07690489 25 24 0.08530369 0.02985887 25 25 -0.02060947 0.1066674 26 0 0.02405302 0 26 1 -0.02873451 0.06918605 26 2 0.006818444 -0.02931882 26 3 0.2124728 -0.151791 26 4 -0.01790965 0.07827418 26 5 0.1351393 -0.03202185 26 6 0.03025829 -0.0429003 26 7 0.0180018 -0.1493866 26 8 -0.03161113 -0.2211223 26 9 -0.0881866 -0.1042955 26 10 0.1687994 -0.08050587 26 11 0.09570567 0.1709434 26 12 0.03779647 -0.09033016 26 13 -0.1128365 0.1439156 26 14 -0.04590347 0.00280667 26 15 -0.1553856 0.0395011 26 16 0.07564409 0.01210235 26 17 -0.1245316 0.1093071 26 18 -0.04585337 -0.1617842 26 19 0.02171953 0.0605216 26 20 0.01250607 0.08544493 26 21 0.01813253 -0.08932755 26 22 -0.08915509 -0.1179635 26 23 -0.02127289 -0.1102981 26 24 0.1551207 0.0739617 26 25 0.06408708 -0.1280889 26 26 -0.07886199 -0.05277402 27 0 0.04152485 0 27 1 0.1258882 -0.04952405 27 2 0.1750891 -0.01254869 27 3 0.1163228 0.1288438 27 4 0.03687473 -0.07699409 27 5 -0.008460252 0.0009666543 27 6 -0.07569641 -0.06885874 27 7 0.03172027 0.04155874 27 8 0.1506659 0.02707401 27 9 0.02615142 0.01708134 27 10 -0.03723298 0.06204014 27 11 0.1223803 -0.03289333 27 12 -0.05868614 -0.1045066 27 13 -0.03600796 0.0793384 27 14 0.03551324 -0.0388527 27 15 0.02025084 -0.1221432 27 16 0.08867065 -0.2255599 27 17 0.05303703 -0.03041795 27 18 0.03950815 0.03521418 27 19 -0.06811918 -0.09101827 27 20 0.03951992 -0.007978633 27 21 0.09993327 0.0005111482 27 22 0.1142944 -0.1521858 27 23 -0.05121536 0.1396227 27 24 0.0559714 0.1190857 27 25 0.1159926 -0.1309357 27 26 0.0146519 0.1075732 27 27 0.0375788 -0.003505172 28 0 -0.08147401 0 28 1 -0.1295283 0.1374164 28 2 -0.006511824 0.09664956 28 3 0.1070617 0.1346594 28 4 -0.05818404 -0.001229108 28 5 0.008853108 0.1314688 28 6 -0.08375707 -0.04426087 28 7 -0.1052406 0.06225535 28 8 -0.08604327 0.2025113 28 9 -0.04500401 -0.007625549 28 10 -0.01024871 0.01367173 28 11 -0.005463953 0.02986118 28 12 0.2059377 0.09239607 28 13 0.1171993 0.1502326 28 14 -0.04869857 -0.04672552 28 15 -0.1810901 -0.06260857 28 16 0.001796003 -0.05579853 28 17 0.0768325 0.03631932 28 18 -0.1101846 -0.07769348 28 19 0.05627417 0.1010735 28 20 -0.04634231 -0.04359988 28 21 -0.09476218 0.007195824 28 22 0.03213166 0.1961503 28 23 0.1127614 0.03641433 28 24 -0.06713491 -0.07802618 28 25 -0.004413548 0.003227868 28 26 -0.09595517 -0.02884043 28 27 0.01166771 0.1077567 28 28 -0.1090486 -0.09720557 29 0 0.03486685 0 29 1 0.0776597 -0.05445612 29 2 -0.1174005 0.1486751 29 3 0.1383654 0.06051636 29 4 0.07862987 0.04242641 29 5 -0.06015317 -0.03098334 29 6 0.2290799 -0.005603982 29 7 -0.154391 -0.004087051 29 8 0.04690137 0.2002216 29 9 -0.1410053 0.04721489 29 10 -0.069185 0.04406755 29 11 0.09076562 -0.04359009 29 12 0.0808039 0.09320255 29 13 -0.1672748 0.03129308 29 14 -0.0271691 -0.02031879 29 15 -0.06393218 -0.01490616 29 16 -0.08690456 -0.07698465 29 17 0.02761853 -0.05591584 29 18 -0.02755074 0.02794494 29 19 0.04474245 0.08006065 29 20 -0.1211407 -0.08070984 29 21 -0.09609128 -0.01208924 29 22 -0.01050481 -0.008908569 29 23 -0.05672531 -0.0867884 29 24 -0.06442909 0.1259565 29 25 0.03366522 -0.03174769 29 26 0.02797136 -0.0595641 29 27 -0.003538168 0.08951314 29 28 -0.007443953 0.1432713 29 29 0.02427513 -0.03182116 30 0 0.1191033 0 30 1 0.1258749 -0.0125158 30 2 -0.03923281 -0.009307662 30 3 0.02439861 -0.1281837 30 4 -0.05789036 0.06853706 30 5 0.07710766 -0.03726871 30 6 -0.00372344 0.006847573 30 7 0.01575259 0.07760847 30 8 -0.1553931 -0.0943143 30 9 0.0154606 0.0600992 30 10 0.001418694 0.09820157 30 11 -0.04910336 0.04031453 30 12 0.0008817145 0.04524603 30 13 0.02090227 -0.1703515 30 14 -0.009627077 -0.008315924 30 15 -0.1328876 0.08357417 30 16 0.2091233 -0.06858576 30 17 -0.02666246 -0.2151587 30 18 0.09320367 0.09803393 30 19 0.01309735 0.05789088 30 20 -0.006548193 -0.05136724 30 21 -0.04382915 0.05669537 30 22 0.08989399 -0.01691445 30 23 0.09675562 0.0556146 30 24 -0.009190729 0.1025975 30 25 -0.001060197 0.1188359 30 26 0.09675821 0.06522203 30 27 -0.05964819 -0.0586423 30 28 0.02695343 0.09960664 30 29 0.03654256 0.08761413 30 30 0.005374103 -0.0418027 31 0 -0.0682769 0 31 1 -0.05172719 -0.2006508 31 2 0.003306092 -0.02768967 31 3 -0.03881427 -0.1108219 31 4 0.04616573 -0.03679357 31 5 -0.01814832 0.03443919 31 6 0.02529597 0.03490493 31 7 0.08784059 0.03841209 31 8 -0.0009595273 -0.09311774 31 9 0.1142686 -0.09375949 31 10 -0.002213721 -0.05369263 31 11 -0.02755099 0.0678831 31 12 0.06394091 0.01864832 31 13 0.1764249 0.09320554 31 14 -0.033671 -0.1919113 31 15 0.08969225 -0.02637305 31 16 0.006742257 -0.007252458 31 17 -0.04255929 -0.05693063 31 18 0.09211684 0.002263809 31 19 0.1169033 0.01781855 31 20 0.02968809 0.1020087 31 21 -0.1239584 0.03889925 31 22 -0.06015579 0.09134872 31 23 0.00433789 -0.06137465 31 24 -0.03702267 0.05928629 31 25 -0.06884136 -0.0177729 31 26 -0.09708011 0.1199127 31 27 -0.03490606 0.1628115 31 28 -0.02880773 -0.02599004 31 29 0.1063984 -0.09168889 31 30 -0.05963418 0.09743666 31 31 -0.1424588 -0.04395157 32 0 -0.1419579 0 32 1 -0.06527583 -0.01055488 32 2 -0.0006850036 -0.06033036 32 3 0.01005791 0.06218296 32 4 -0.04881775 0.04676199 32 5 0.05399176 0.001794116 32 6 -0.1488341 0.1443947 32 7 0.2405675 -0.04785904 32 8 -0.003758081 0.02248219 32 9 -0.05126462 -0.0924504 32 10 -0.04967695 -0.05896297 32 11 0.01165707 -0.00945678 32 12 0.03842058 -0.04812272 32 13 -0.03413935 0.02835019 32 14 0.08278743 0.06951203 32 15 -0.01611537 -0.06105492 32 16 -0.08898653 -0.02515939 32 17 0.0118511 0.07587755 32 18 -0.009439441 0.0799924 32 19 0.002505867 0.08833215 32 20 0.001081217 -0.1259552 32 21 -0.08749283 -0.03404695 32 22 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