# Rayleigh 50 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 4.12322 0 1 0 -3.048095 0 1 1 2.789288 3.118066 2 0 -1.372262 0 2 1 3.090555 5.030806 2 2 6.638723 0.8002877 3 0 0.7329679 0 3 1 -1.499487 2.260529 3 2 2.40517 -3.15542 3 3 2.642055 4.955623 4 0 -0.4521602 0 4 1 -2.438772 -1.425619 4 2 1.53616 -1.104908 4 3 2.394443 -1.208015 4 4 -0.1009752 -0.5161881 5 0 1.778694 0 5 1 -1.313149 -1.238107 5 2 -1.344791 -0.06027193 5 3 1.241617 -0.6556726 5 4 -1.325509 -1.792268 5 5 -0.8406318 -0.3216195 6 0 -0.9112068 0 6 1 -0.006386638 -0.547613 6 2 -1.128824 2.069152 6 3 -0.6573793 0.6990498 6 4 -1.472404 1.896156 6 5 -2.040587 -0.9899464 6 6 -1.022567 -0.6292998 7 0 0.3463213 0 7 1 0.5556344 0.1079291 7 2 -0.3647868 -0.2163844 7 3 0.6385483 -0.07851098 7 4 0.368987 0.7785794 7 5 -0.2235432 1.222929 7 6 2.042929 -0.7461506 7 7 -0.2539502 -1.015829 8 0 -0.4228468 0 8 1 -0.2137098 0.6444082 8 2 -2.14818 -0.4509436 8 3 -0.4536237 -0.01947309 8 4 1.15139 -0.9915317 8 5 -0.2313531 0.9576414 8 6 -0.6984779 -0.6688089 8 7 2.35084 0.4814068 8 8 0.7981235 0.881282 9 0 1.07681 0 9 1 1.184121 1.565213 9 2 0.02624829 -0.2793893 9 3 -1.477418 0.04323755 9 4 -0.0759552 -0.1415749 9 5 0.5732154 0.4062843 9 6 0.4512653 -1.39677 9 7 -0.6390027 -2.323895 9 8 -1.540067 -1.441999 9 9 -0.412543 0.4073303 10 0 0.2355317 0 10 1 0.6367571 -0.9887031 10 2 1.105026 0.203747 10 3 0.3657482 -0.1917805 10 4 0.9755176 0.06460664 10 5 0.09441362 0.1232686 10 6 0.03391471 0.176196 10 7 -0.3931142 0.1319565 10 8 -1.047556 0.5174183 10 9 0.4945857 0.8032969 10 10 -0.5419028 0.3033924 11 0 0.6258249 0 11 1 0.5606689 0.002512117 11 2 0.05847006 -0.1532873 11 3 -0.5465464 -0.9302844 11 4 -0.5361335 0.2893671 11 5 0.7175957 1.039762 11 6 0.1316916 -0.05336023 11 7 -0.551802 -0.2611932 11 8 -0.6109816 -0.8082073 11 9 -0.7920404 0.9390909 11 10 0.2614959 0.241304 11 11 -0.3143956 -0.4311141 12 0 -0.1441213 0 12 1 -0.2055453 -0.1015952 12 2 0.3797784 -0.4582587 12 3 -0.1626134 -0.5367888 12 4 0.2062313 0.3409615 12 5 0.3499781 -0.4400668 12 6 -0.8054904 0.7431632 12 7 -0.1927678 0.07238988 12 8 -0.1181091 -0.4719234 12 9 0.9039484 0.7665343 12 10 -0.1522937 0.8846503 12 11 0.4258249 -0.06173641 12 12 -0.08957415 0.5592226 13 0 -0.3379535 0 13 1 -0.1006109 0.2771915 13 2 0.007763551 0.4703107 13 3 -0.2020975 0.3657695 13 4 -0.162178 -0.0258006 13 5 0.4814737 -0.1999925 13 6 0.2100507 0.3830905 13 7 -0.08190341 -0.6270139 13 8 0.2082013 -0.2800965 13 9 0.1459087 0.4906819 13 10 0.07481925 0.1948758 13 11 -0.3601036 -0.3935072 13 12 0.05634011 -0.04360106 13 13 -0.6213404 0.3493312 14 0 0.1170449 0 14 1 -0.009742014 0.5336438 14 2 0.6499164 0.06640839 14 3 0.3464004 0.03016492 14 4 -0.06878752 0.219771 14 5 -0.1375103 0.1003902 14 6 0.495242 -0.2773421 14 7 0.3338118 0.01424642 14 8 0.05752281 -0.2693526 14 9 0.3688717 0.2513319 14 10 0.2272505 -0.09992978 14 11 0.09859138 -0.4675779 14 12 0.1778237 0.2736312 14 13 0.4505724 0.07100406 14 14 0.1553219 0.4004154 15 0 0.001111563 0 15 1 0.001427477 -0.2032843 15 2 0.08136345 0.1436095 15 3 0.433445 0.2784793 15 4 0.1388948 0.122924 15 5 0.05429548 -0.07314697 15 6 -0.2281394 0.2388096 15 7 0.3881542 0.6092278 15 8 0.2246617 -0.319479 15 9 0.07289325 0.09953701 15 10 -0.2185704 -0.2209472 15 11 -0.0176508 -0.08943185 15 12 -0.07222993 -0.6387125 15 13 -0.2529546 -0.2373794 15 14 -0.2254339 -0.01381934 15 15 0.1614961 -0.2020027 16 0 0.3986561 0 16 1 -0.06613683 -0.0913104 16 2 -0.206132 -0.1888722 16 3 -0.3752423 -0.4173395 16 4 -0.07585832 -0.13937 16 5 0.1630071 -0.06563795 16 6 0.4966169 0.3462224 16 7 -0.2648406 0.189257 16 8 -0.05006802 0.07679073 16 9 -0.3503634 -0.3970545 16 10 0.09672179 0.05857355 16 11 0.3280161 0.4436324 16 12 0.2488205 -0.06877044 16 13 0.2689894 0.1823321 16 14 0.4024359 0.2348952 16 15 0.4817029 -0.2785501 16 16 -0.1347528 -0.1020092 17 0 0.0120151 0 17 1 -0.0327488 -0.21891 17 2 0.1962215 0.2480766 17 3 0.3283006 0.454447 17 4 0.251675 0.3993311 17 5 -0.1555737 -0.06323574 17 6 -0.1159562 -0.2020163 17 7 0.101495 -0.05133684 17 8 -0.4508436 0.2581232 17 9 -0.1623041 -0.07631211 17 10 0.3941683 -0.4592747 17 11 0.04823501 0.593999 17 12 -0.3452211 -0.3037214 17 13 0.254041 -0.3259545 17 14 -0.1834743 -0.09179336 17 15 -0.1368345 0.6706679 17 16 0.8673106 -0.1624156 17 17 -0.05868543 -0.3181105 18 0 0.01994186 0 18 1 0.06196187 -0.3408242 18 2 -0.01626258 -0.04183284 18 3 0.09136076 0.09780797 18 4 -0.1680932 -0.0928673 18 5 0.04082433 -0.05209684 18 6 0.007563973 -0.0621343 18 7 -0.2047628 -0.01679892 18 8 0.04519518 0.2654743 18 9 -0.2528488 0.3165277 18 10 -0.1174618 -0.2347043 18 11 -0.1012692 -0.1323678 18 12 -0.04978185 0.1564906 18 13 0.01404966 -0.2848936 18 14 -0.216546 0.1143491 18 15 0.1203562 -0.2374144 18 16 -0.3545962 -0.2173613 18 17 -0.009139186 0.2348965 18 18 0.2228546 -0.345581 19 0 0.002402016 0 19 1 0.0741128 0.1341533 19 2 0.1470952 -0.127194 19 3 -0.06171938 -0.1248738 19 4 -0.1342973 -0.1854639 19 5 -0.09131187 0.03336067 19 6 -0.2156904 0.2272889 19 7 0.0675411 0.1529099 19 8 -0.1347955 -0.09362597 19 9 0.01510838 -0.04395008 19 10 0.220107 -0.1780962 19 11 0.2754082 0.1327905 19 12 0.02258206 0.03869268 19 13 0.2518186 0.1487766 19 14 -0.007642825 -0.04247782 19 15 0.1387207 0.3878135 19 16 -0.2252521 -0.1932431 19 17 -0.3531286 -0.1669385 19 18 -0.2423041 0.1668298 19 19 -0.253004 0.1984954 20 0 0.2159412 0 20 1 0.07138757 -0.05822808 20 2 0.06452189 -0.0882876 20 3 -0.1357168 0.3203666 20 4 -0.2000147 -0.03469675 20 5 0.3072334 0.0417816 20 6 -0.3696081 -0.01477732 20 7 -0.2942968 0.3829801 20 8 0.2133854 -0.0261178 20 9 0.1765808 0.04742055 20 10 -0.06425004 0.3872625 20 11 0.2176864 0.0761187 20 12 0.0396249 0.2548983 20 13 0.2736227 -0.0006925262 20 14 0.2362034 0.05306443 20 15 0.01298866 -0.336999 20 16 -0.07970113 0.2074744 20 17 -0.1147648 0.08144581 20 18 -0.1787446 0.05966976 20 19 -0.2198789 0.02336651 20 20 -0.3735888 -0.02088574 21 0 -0.002473144 0 21 1 0.1116898 0.3539835 21 2 0.03521571 0.07780509 21 3 0.04265716 0.2174345 21 4 -0.2711424 0.3362961 21 5 -0.1195836 0.02804189 21 6 0.1586889 0.05480763 21 7 0.0142994 -0.3407536 21 8 0.116666 0.1115422 21 9 -0.219348 0.08206669 21 10 0.1688448 -0.04164797 21 11 0.1273774 -0.524278 21 12 0.1519706 0.007210848 21 13 0.08381775 -0.0950806 21 14 -0.1150582 -0.09599251 21 15 0.2461404 -0.03439368 21 16 -0.2325557 -0.01017815 21 17 -0.3003879 0.112901 21 18 0.1069274 -0.01230511 21 19 -0.3244374 0.08373752 21 20 -0.115404 0.01554032 21 21 -0.1788301 -0.108373 22 0 0.1189361 0 22 1 0.1589799 0.04694615 22 2 0.07127476 -0.109258 22 3 0.2268327 0.1470835 22 4 0.18787 0.2280905 22 5 -0.1654237 -0.3028162 22 6 0.03565611 -0.06863511 22 7 0.08673982 -0.02699593 22 8 0.04857674 0.01587035 22 9 0.1674686 0.1794536 22 10 -0.1403414 -0.2891786 22 11 0.1000323 -0.2378157 22 12 -0.2588381 -0.3604565 22 13 -0.4473104 0.1975788 22 14 -0.1889911 0.1935101 22 15 0.120207 0.03453552 22 16 0.005349027 -0.1832753 22 17 -0.1311376 0.1278936 22 18 0.07170925 0.2325603 22 19 0.05099174 -0.1173033 22 20 -0.1567506 -0.198779 22 21 0.1884629 0.1029656 22 22 0.116681 -0.03206969 23 0 -0.05326457 0 23 1 -0.2336537 0.1315974 23 2 0.1152905 -0.01722336 23 3 0.01998996 -0.2096262 23 4 0.2383428 0.03012901 23 5 0.08775936 0.03036068 23 6 -0.05449869 0.1887787 23 7 -0.3480369 -0.2963842 23 8 -0.2100647 -0.2625767 23 9 0.2242235 0.03907413 23 10 -0.2684878 0.1280697 23 11 0.01182739 0.1232939 23 12 -0.247987 -0.1592688 23 13 0.0388977 -0.04439811 23 14 -0.1527705 -0.168562 23 15 0.2066152 0.02814469 23 16 0.1003901 0.03064391 23 17 -0.1347916 -0.1253704 23 18 0.004249609 -0.02806364 23 19 0.1309526 0.2523884 23 20 -0.1500505 0.2935044 23 21 0.03851891 0.05704743 23 22 0.3497627 -0.07019556 23 23 0.241761 0.2913908 24 0 0.1368082 0 24 1 0.2173462 0.1051725 24 2 -0.1041777 0.05874907 24 3 0.1571714 -0.06741241 24 4 -0.1454266 0.03482035 24 5 -0.2983579 -0.01216536 24 6 -0.1269375 0.04494842 24 7 0.2056314 0.000196086 24 8 -0.2004728 0.008922189 24 9 -0.216609 -0.06743004 24 10 -0.2491433 -0.01780663 24 11 -0.01355544 -0.0740293 24 12 -0.05824605 0.3098202 24 13 -0.01906653 -0.1466712 24 14 0.3814711 0.04287726 24 15 0.08405625 -0.06726247 24 16 -0.2672319 0.08828297 24 17 -0.286284 0.178625 24 18 0.2024148 0.1477056 24 19 -0.1135736 0.03558265 24 20 0.03506472 -0.2433634 24 21 -0.03664877 -0.1028344 24 22 -0.5038294 -0.02005287 24 23 0.07347727 0.1974779 24 24 0.02462129 0.06404454 25 0 -0.04115223 0 25 1 0.08516925 -0.1459797 25 2 -0.1083386 0.08294426 25 3 -0.07210211 0.1271176 25 4 0.09149732 0.1179567 25 5 0.1005993 -0.002681717 25 6 -0.2500591 0.09896778 25 7 0.1604751 -0.06421923 25 8 -0.1332866 -0.3799191 25 9 -0.2103116 0.1063764 25 10 -0.0969103 0.0749761 25 11 -0.02960468 -0.06515717 25 12 0.01170379 -0.1512887 25 13 -0.03920926 -0.1988451 25 14 0.07980809 0.2312769 25 15 0.03754408 -0.2231352 25 16 0.2144041 0.1099823 25 17 -0.02140593 0.1673852 25 18 -0.0252261 0.0723257 25 19 0.2713655 -0.1744254 25 20 -0.02773021 0.1531494 25 21 -0.03519247 0.07522465 25 22 0.2755557 -0.2754278 25 23 -0.1459302 -0.04015113 25 24 -0.06664788 -0.1059982 25 25 0.2561041 -0.1585024 26 0 0.0256878 0 26 1 0.1366412 -0.0218114 26 2 -0.1308568 -0.1506102 26 3 -0.2170824 -0.09171338 26 4 0.1642952 0.1172372 26 5 0.1411016 -0.1147622 26 6 0.08527493 0.02221513 26 7 -0.1772943 -0.0752798 26 8 -0.04179222 0.01611504 26 9 -0.07874869 -0.002907638 26 10 0.26075 -0.06517546 26 11 0.1789043 0.09567907 26 12 0.1063342 -0.1178449 26 13 -0.1267107 0.009510929 26 14 0.01566537 -0.09275959 26 15 -0.04578211 0.07145654 26 16 0.2131407 -0.05927234 26 17 0.06865237 -0.04785037 26 18 0.02276214 0.07347575 26 19 -0.2018901 -0.05921948 26 20 -0.0359338 0.06811976 26 21 0.140442 -0.3927398 26 22 -0.2931042 -0.0997469 26 23 0.1646816 0.227768 26 24 0.07692461 -0.04791363 26 25 -0.254415 -0.01519323 26 26 -0.0373376 -0.07713196 27 0 -0.02717408 0 27 1 -0.01271475 0.09959189 27 2 0.09286997 -0.02318271 27 3 -0.02627842 0.1506831 27 4 -0.06238607 0.03809655 27 5 -0.05020606 0.06212226 27 6 0.07084124 0.05649702 27 7 -0.07426783 -0.02096474 27 8 0.09045989 -0.2411894 27 9 -0.1845986 -0.05075047 27 10 0.04785583 0.1444528 27 11 0.08508974 -0.1018424 27 12 0.1508147 0.08958506 27 13 0.1845217 -0.147136 27 14 0.0002138944 -0.07636869 27 15 0.05466885 -0.0346864 27 16 0.005317199 -0.04020988 27 17 -0.1746356 -0.1499119 27 18 -0.08999757 -0.04327305 27 19 -0.1111718 -0.2912505 27 20 0.02124353 -0.0786017 27 21 0.1011442 -0.1935948 27 22 0.2113008 0.03913883 27 23 0.06395885 -0.1604948 27 24 0.207134 0.2177557 27 25 0.04205151 -0.1874774 27 26 0.1509795 0.2925183 27 27 -0.08818732 -0.06397239 28 0 0.03039085 0 28 1 -0.1077109 0.02875115 28 2 0.1054797 -0.1016477 28 3 0.03396269 0.1255628 28 4 0.05257995 0.09733628 28 5 0.1626372 0.009239799 28 6 -0.0809271 -0.1038736 28 7 -0.1258316 0.04201009 28 8 0.01429143 0.1451472 28 9 0.1701689 -0.01424684 28 10 -0.01650455 -0.005027565 28 11 0.2847723 0.09496123 28 12 -0.01926709 -0.02493064 28 13 0.1674881 -0.06822202 28 14 0.1277639 -0.005467244 28 15 -0.161433 -0.08225378 28 16 0.04196332 0.221961 28 17 0.1620443 -0.004520166 28 18 0.02845063 0.1094711 28 19 -0.09145459 0.03462462 28 20 -0.08136017 0.0005369548 28 21 0.07356425 0.09143493 28 22 0.1047613 0.1474687 28 23 0.1299677 0.2414706 28 24 0.1328358 -0.04647269 28 25 -0.249743 0.003093918 28 26 -0.02982164 0.06567147 28 27 0.08213612 0.03108673 28 28 -0.2120774 0.04151971 29 0 0.02906775 0 29 1 0.1811498 0.03901578 29 2 -0.06004728 0.03748515 29 3 -0.09418308 -0.1460445 29 4 -0.03285494 0.07246134 29 5 -0.2145947 0.1388645 29 6 0.2407307 0.0102129 29 7 0.05325591 -0.1268594 29 8 -0.09738365 0.3806266 29 9 -0.006086922 0.1012181 29 10 -0.2269308 0.1333814 29 11 0.0292997 -0.05858963 29 12 -0.1114745 0.2547167 29 13 0.001518792 -0.01710745 29 14 0.08810163 -0.006436226 29 15 0.2961105 -0.07012541 29 16 -0.1727495 -0.1083051 29 17 -0.02788411 -0.01903483 29 18 0.01078952 0.04950543 29 19 0.007109141 0.196702 29 20 0.01443027 -0.07711669 29 21 -0.01451804 0.1471818 29 22 -0.039738 -0.05850972 29 23 0.02106515 0.1498463 29 24 0.0006535335 -0.1061872 29 25 0.03262847 0.2528178 29 26 -0.04947939 -0.01908677 29 27 -0.08249994 0.05913145 29 28 -0.008302344 0.004133299 29 29 -0.2042447 0.0003823032 30 0 -0.1123571 0 30 1 -0.05519371 -0.004087384 30 2 0.2301052 0.05717403 30 3 0.1543904 -0.290162 30 4 -0.1093834 0.1512554 30 5 -0.130364 0.03325195 30 6 0.0693688 0.1368628 30 7 0.07334463 0.05977182 30 8 -0.2211353 -0.05993208 30 9 0.1228471 -0.1863421 30 10 -0.06953449 0.1740139 30 11 -0.05396795 -0.04312487 30 12 -0.05098762 -0.0227127 30 13 0.08100011 -0.1815362 30 14 0.2358341 0.07165382 30 15 -0.07410154 -0.0768622 30 16 0.1976037 -0.2354515 30 17 0.01641994 -0.02736329 30 18 -0.1123267 -0.01293384 30 19 -0.08959975 0.07183399 30 20 0.01453786 -0.1981651 30 21 -0.04682707 -0.08467735 30 22 0.0347366 -0.05505181 30 23 0.07757241 -0.02893343 30 24 -0.0649493 -0.110442 30 25 -0.09946794 -0.1882221 30 26 -0.1085 -0.1197381 30 27 0.1110396 0.1068777 30 28 -0.07102436 -0.2019111 30 29 -0.02983758 -0.03411761 30 30 0.05384498 -0.2160552 31 0 -0.101067 0 31 1 -0.1078442 0.1175361 31 2 -0.1099545 -0.1795732 31 3 -0.1644443 0.0108823 31 4 -0.2187959 -0.07150581 31 5 -0.2002241 0.1053111 31 6 -0.1111641 0.09241094 31 7 -0.09850124 0.1225066 31 8 0.08845817 -0.09453466 31 9 0.2355895 0.04372873 31 10 -0.05840068 0.1258283 31 11 -0.09632184 0.1849605 31 12 0.02674069 0.1932759 31 13 0.1474312 0.1547242 31 14 -0.05522201 -0.2923717 31 15 -0.01277143 0.1360347 31 16 0.2826247 -0.2755558 31 17 0.2454396 0.06881905 31 18 0.08466596 0.08973178 31 19 0.3119168 0.05085269 31 20 -0.2480464 0.009196376 31 21 -0.08751073 -0.1308154 31 22 0.1887098 -0.015295 31 23 0.02251439 -0.04014356 31 24 -0.1051705 0.0844714 31 25 -0.148948 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