# Rayleigh 175 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 1.567943 0 1 0 0.7060001 0 1 1 -1.441361 -0.2239794 2 0 0.9172115 0 2 1 0.5191457 0.6545765 2 2 1.006975 -1.174486 3 0 0.4613106 0 3 1 -0.7870792 -0.1470266 3 2 -0.5606139 0.02362583 3 3 0.7203049 0.2943121 4 0 0.3288136 0 4 1 -0.4195191 0.1931019 4 2 -1.058001 0.7544589 4 3 1.173042 -0.2021634 4 4 -0.1293117 0.9248719 5 0 -0.7974171 0 5 1 -1.501864 -0.2371127 5 2 -1.552342 0.3189545 5 3 0.6288201 -0.7835893 5 4 1.339587 -1.401709 5 5 -0.8694125 -0.5702235 6 0 -0.007414408 0 6 1 0.5959505 0.7008693 6 2 -0.9154246 0.8092833 6 3 0.1119421 -0.9224243 6 4 -0.1004661 0.5561862 6 5 -1.264035 -0.7033813 6 6 0.3360344 0.3533493 7 0 -0.4665045 0 7 1 0.02007341 -1.059818 7 2 -0.286136 0.4298475 7 3 0.01393303 -0.5266725 7 4 0.05008612 0.5145801 7 5 -0.1225529 0.8397008 7 6 0.1446242 -1.005885 7 7 0.5650191 -0.03002582 8 0 -0.2879488 0 8 1 0.1623831 0.3652846 8 2 -0.7984682 0.1104678 8 3 -0.1927508 -0.2640997 8 4 0.0279923 0.299231 8 5 0.2299578 0.1451916 8 6 -0.538343 0.08089925 8 7 -0.298811 0.103244 8 8 0.6912182 -0.1172169 9 0 -0.1214345 0 9 1 0.2683922 0.06118761 9 2 -0.4056154 -0.1634508 9 3 -0.4511901 -0.4642077 9 4 0.003939162 -0.05470226 9 5 0.4691992 -0.02175667 9 6 -0.5714403 -0.02308771 9 7 0.03748947 -0.4754691 9 8 -0.1089592 0.01696489 9 9 0.3185359 0.125539 10 0 -0.05655401 0 10 1 0.01800114 0.05324374 10 2 -0.4321344 0.06545038 10 3 -0.1563269 -0.2949722 10 4 0.1398084 0.0244036 10 5 -0.1347332 0.3048526 10 6 -0.005861517 0.1742322 10 7 0.06055592 -0.1677173 10 8 0.08901424 -0.1827758 10 9 0.07379894 0.208735 10 10 -0.2726457 0.01144918 11 0 -0.006317031 0 11 1 -0.1946823 0.2259855 11 2 -0.1457955 0.2006456 11 3 -0.4962895 -0.1560291 11 4 -0.03359915 0.3985229 11 5 0.2850863 0.5772431 11 6 0.2654586 0.1908164 11 7 -0.1505058 -0.07272625 11 8 -0.09955996 -0.04490308 11 9 0.1878974 0.4402295 11 10 -0.2823369 0.09740679 11 11 -0.3766645 0.6310418 12 0 -0.03462464 0 12 1 -0.2614554 0.3506981 12 2 0.2580639 -0.5894893 12 3 -0.2287529 -0.08235359 12 4 0.02106467 0.6485648 12 5 0.1258473 -0.4741504 12 6 0.08872382 -0.06757871 12 7 -0.1023189 0.2429297 12 8 -0.03794729 -0.009033558 12 9 0.46316 0.2517787 12 10 0.2132725 0.03010561 12 11 0.3898245 0.6287466 12 12 -0.206204 -0.2224482 13 0 -0.08685982 0 13 1 -0.2645265 -0.1357757 13 2 0.04990108 0.09010817 13 3 -0.1130751 0.1104157 13 4 -0.0009045179 0.01893637 13 5 0.08350094 -0.0498841 13 6 0.006263117 0.01530616 13 7 -0.07770792 -0.01983193 13 8 0.002819885 -0.07754561 13 9 0.2066262 0.03774871 13 10 0.06658252 0.2122964 13 11 -0.2037026 0.004956671 13 12 0.1084931 -0.3659329 13 13 -0.1468187 0.1169719 14 0 -0.1309347 0 14 1 -0.1493094 0.09801986 14 2 0.09183052 -0.09438523 14 3 0.08636227 0.04473766 14 4 -0.08698145 -0.006426172 14 5 0.02485724 -0.01867454 14 6 0.0405797 0.02205398 14 7 -0.04629404 0.1154094 14 8 0.05883042 -0.1041566 14 9 -0.01184283 0.05052024 14 10 0.006863868 0.008934676 14 11 0.03278131 -0.2654456 14 12 0.1273964 -0.06959682 14 13 -0.03405415 0.1006296 14 14 0.3192501 -0.1432924 15 0 0.02686022 0 15 1 -0.09676989 -0.09489737 15 2 0.05473909 0.1306081 15 3 0.2074707 0.02992396 15 4 -0.1204251 0.09561636 15 5 0.05712461 -0.0842851 15 6 0.1080176 -0.05433544 15 7 0.01939686 0.1349136 15 8 0.0337922 -0.08435084 15 9 -0.1029001 0.1492004 15 10 -0.03241539 -0.07885447 15 11 0.02888237 0.04545829 15 12 -0.1717568 -0.1266449 15 13 -0.01251208 0.08751229 15 14 0.09367169 -0.144172 15 15 -0.03145741 -0.08822476 16 0 -0.021456 0 16 1 0.1060562 0.07525842 16 2 0.0434798 -0.03516793 16 3 0.09807098 0.1443342 16 4 -0.02246911 0.004433857 16 5 -0.05122378 -0.003937049 16 6 0.01911204 0.07560726 16 7 -0.07107259 0.01129103 16 8 -0.1587538 -0.06670006 16 9 -0.06779117 -0.06753021 16 10 0.03192743 -0.06911562 16 11 0.04923407 -0.05126885 16 12 0.07533087 -0.1190228 16 13 -0.1272271 0.01444388 16 14 0.01558856 0.01016062 16 15 0.07065994 -0.03940591 16 16 0.1989048 0.09783674 17 0 0.03612547 0 17 1 -0.02558528 -0.003370093 17 2 -0.1237182 -0.09778456 17 3 0.1388616 0.1114967 17 4 0.03930093 0.02037981 17 5 -0.0884091 -0.03423877 17 6 0.003769551 0.04927463 17 7 0.0862841 0.03974328 17 8 -0.008339575 0.04797053 17 9 -0.08773772 -0.1149237 17 10 0.02389193 -0.005751864 17 11 -0.02513777 0.093918 17 12 -0.04905424 -0.05721332 17 13 0.005877984 -0.08644088 17 14 0.08559034 -0.04087666 17 15 -0.1770467 0.005513989 17 16 -0.1162332 -0.009879518 17 17 0.08924448 0.1513605 18 0 -0.04482807 0 18 1 0.03806241 0.05287483 18 2 0.0207842 -0.01759897 18 3 0.01012673 0.03543846 18 4 -0.1718357 -0.1570947 18 5 0.07878944 0.03970001 18 6 0.003090702 0.09455772 18 7 -0.06516167 -0.03756345 18 8 -0.07335329 0.1126013 18 9 -0.07835565 -0.1203553 18 10 -0.03615189 -0.1179962 18 11 -0.03198242 0.06297123 18 12 -0.01871601 0.03597125 18 13 0.04509523 0.1300808 18 14 0.01122052 -0.003878701 18 15 0.005235512 -0.1239806 18 16 -0.05870497 0.04834422 18 17 -0.01542299 0.09948885 18 18 -0.08659904 0.09986044 19 0 -0.05046035 0 19 1 0.03623031 -0.1046585 19 2 -0.06561652 -0.06205101 19 3 -0.1342307 0.01059176 19 4 -0.004945436 -0.06905129 19 5 0.09404659 0.01702838 19 6 -0.04344011 0.05366635 19 7 -0.06148459 -0.04880492 19 8 -0.04830069 -0.0441433 19 9 -0.1426949 -0.004235327 19 10 0.05316163 -0.006525606 19 11 0.1039581 0.1066104 19 12 0.07936504 -0.07743291 19 13 -0.02131063 -0.2030117 19 14 0.009533221 0.08379422 19 15 -0.09646036 0.02774265 19 16 -0.03976981 -0.01642063 19 17 0.02651235 0.06615661 19 18 0.04987135 -0.09968877 19 19 -0.1685295 0.1544331 20 0 -0.0138472 0 20 1 0.02596149 -0.01420783 20 2 -0.06485202 -0.08141673 20 3 0.0658128 0.1002308 20 4 0.01331754 0.04787401 20 5 0.05901159 -0.04474417 20 6 0.07865903 -0.01209631 20 7 -0.07018577 0.04306138 20 8 0.02099513 -0.03476265 20 9 0.05642155 0.05627689 20 10 -0.02408803 0.01947697 20 11 -0.01813318 -0.01875338 20 12 0.06988074 0.001501226 20 13 0.1003393 0.08033123 20 14 -0.04926511 -0.05489812 20 15 -0.01783933 0.02930365 20 16 -0.0588184 0.0981447 20 17 0.07984982 -0.1160577 20 18 -0.07401573 -0.05077236 20 19 -0.1194635 0.02138992 20 20 -0.0802668 -0.02291533 21 0 -0.0249678 0 21 1 -0.1096938 0.001829694 21 2 -0.05015462 -0.07365821 21 3 -0.03382444 0.08036182 21 4 -0.1151568 0.06398376 21 5 0.007449244 -0.07669221 21 6 0.02564175 0.1202123 21 7 0.002329353 -0.03807819 21 8 0.02644896 0.0216783 21 9 0.1063879 0.02688869 21 10 0.09380037 -0.150855 21 11 -0.06563087 0.05208757 21 12 0.02950777 0.1025798 21 13 0.02811625 -0.02951417 21 14 -0.06023722 -0.01298517 21 15 0.045642 -0.07486331 21 16 -0.01201805 -0.001521581 21 17 -0.09452199 0.01615661 21 18 -0.05394023 -0.007413638 21 19 0.02333659 0.06568524 21 20 0.1247221 -0.01397555 21 21 -0.1300211 -0.1791745 22 0 -0.0255638 0 22 1 0.02128466 0.06232482 22 2 -0.08970149 0.002634311 22 3 0.03137836 0.007588867 22 4 -0.05320136 -0.09903943 22 5 0.02441831 0.0005407083 22 6 -0.007882899 0.0453396 22 7 -0.002947277 -0.09041855 22 8 -0.01304221 0.06899036 22 9 -0.08540262 -0.003612631 22 10 -0.007434884 0.01921033 22 11 -0.009879346 -0.03496397 22 12 -0.05747287 -0.04029791 22 13 -0.1331768 -0.04442994 22 14 -0.07107344 0.05877229 22 15 0.02156609 -0.0646294 22 16 0.1118182 -0.009509923 22 17 -0.03163597 -0.0913154 22 18 0.05609776 0.0568867 22 19 0.01041487 0.04397461 22 20 0.02897057 0.0677585 22 21 0.09105428 0.03135699 22 22 0.02193919 -0.1143333 23 0 0.01491136 0 23 1 -0.0324855 0.05276658 23 2 -0.1126657 0.02188411 23 3 0.009669744 -0.09511115 23 4 0.1376692 0.03023146 23 5 -0.1067076 0.04330517 23 6 -0.1238974 0.02595264 23 7 -0.008541635 0.09230177 23 8 0.06964424 0.01382052 23 9 0.07761864 0.002740777 23 10 -0.127547 -0.05660807 23 11 0.01373452 0.0206893 23 12 -0.09911059 0.006068818 23 13 -0.003383863 0.007736835 23 14 -0.06588703 -0.02651944 23 15 -0.1030675 0.03503221 23 16 0.05243789 -0.058491 23 17 0.01291764 0.07338473 23 18 0.04995309 0.01936799 23 19 0.04541992 -0.139873 23 20 -0.01137499 -0.04293738 23 21 0.01799863 0.03249339 23 22 0.0422243 -0.144269 23 23 0.03383066 0.01636619 24 0 0.02456303 0 24 1 0.04450845 -0.01019743 24 2 0.0142559 0.003065166 24 3 0.00808375 0.02831928 24 4 -0.002145729 0.02571222 24 5 0.004150039 -0.0733033 24 6 0.005595079 -0.02095426 24 7 -0.005776062 -0.03422177 24 8 -0.04608547 -0.002971101 24 9 0.02333649 -0.0906233 24 10 -0.02998849 -0.009859668 24 11 -0.007060341 -0.03480167 24 12 -0.03192263 0.02329593 24 13 -0.005647202 0.004845986 24 14 0.06355419 0.03585362 24 15 0.00338922 -0.09618331 24 16 -0.1358962 0.06697966 24 17 -0.03079056 0.04814324 24 18 -0.02035623 0.02627863 24 19 -0.01674103 0.113596 24 20 0.001916393 0.07053739 24 21 0.03642475 -0.02975788 24 22 -0.06862031 0.02324108 24 23 -0.01067929 -0.01010881 24 24 0.1044252 0.0702301 25 0 -0.04331826 0 25 1 0.0523026 -0.02378089 25 2 0.03623976 0.05224293 25 3 -0.02812686 -0.05430274 25 4 -0.07714964 -0.00648755 25 5 0.08081165 0.03900371 25 6 -0.0787737 0.009064322 25 7 0.07464802 -0.03345468 25 8 -0.0382254 0.02290547 25 9 -0.04145222 0.04866164 25 10 0.09543913 0.02979611 25 11 0.06994213 -0.0001635573 25 12 -0.05557457 0.009582496 25 13 -0.02388133 0.05869655 25 14 0.05301146 0.0681151 25 15 -0.04983536 -0.007744793 25 16 0.1088845 -0.09785408 25 17 0.02018857 0.01670939 25 18 0.001327838 0.007914007 25 19 0.04845291 -0.08418008 25 20 0.07768321 0.0438164 25 21 0.003486356 -0.05555826 25 22 -0.01762146 0.02601594 25 23 -0.06790584 0.1006371 25 24 0.05141802 0.02574781 25 25 0.01185988 0.1386273 26 0 -0.002855016 0 26 1 0.00203139 -0.05693775 26 2 -0.1153882 -0.02859872 26 3 0.0587866 0.04244325 26 4 0.03292551 0.02200554 26 5 -0.05739762 -0.02937819 26 6 -0.01022995 -0.003075547 26 7 0.03188112 0.01358553 26 8 0.05454688 -0.0531157 26 9 -0.1070821 -0.06306577 26 10 0.004380452 -0.06379412 26 11 0.1038015 0.1105856 26 12 0.03662222 -0.008253596 26 13 -0.01395014 0.003320161 26 14 -0.01240159 -0.04812175 26 15 -0.03847713 -0.02617649 26 16 0.004054705 -0.02116641 26 17 -0.1268319 0.03880851 26 18 -0.04303791 -0.06424563 26 19 0.05042062 0.003728603 26 20 -0.03597312 -0.06799664 26 21 0.03096379 0.0465527 26 22 -0.0170492 -0.06248314 26 23 -0.06053391 -0.1142098 26 24 -0.02385317 0.002598713 26 25 -0.01928541 -0.05357195 26 26 0.0008450052 0.08039319 27 0 0.02072299 0 27 1 -0.005864247 -0.0546734 27 2 0.05369788 0.05271456 27 3 0.07908286 -0.002827079 27 4 0.03975761 -0.1424939 27 5 0.09356786 -0.01055515 27 6 0.01632093 0.1497387 27 7 -0.02454646 0.0272349 27 8 0.01984932 0.0116288 27 9 0.06742193 -0.02646812 27 10 -0.003755588 0.008527271 27 11 -0.04235843 -0.01297057 27 12 -0.02460419 -0.03441487 27 13 0.04159723 0.01058003 27 14 -0.04648557 -0.06052286 27 15 0.01413429 0.005640174 27 16 0.009756986 -0.0583487 27 17 0.07597374 -0.03710366 27 18 -0.01761211 0.09064746 27 19 0.02484897 -0.1031653 27 20 -0.03050511 -0.03322164 27 21 0.06274922 -0.006029656 27 22 0.01530234 -0.09428386 27 23 -0.02998112 0.02411306 27 24 0.05597739 -0.006503436 27 25 0.03900817 0.0293984 27 26 -0.06701484 0.01921619 27 27 0.04508573 -0.02195989 28 0 -0.007356723 0 28 1 -0.05180605 0.1477594 28 2 -0.01038888 0.04658079 28 3 -0.040611 -0.02397273 28 4 -0.05649032 -0.01529408 28 5 -0.08326464 0.07018146 28 6 0.03360886 0.002288616 28 7 -0.05405496 -0.05595347 28 8 -0.0252822 0.002970096 28 9 -0.03319352 8.289536e-05 28 10 0.01322299 -0.0162576 28 11 0.02762929 -0.02825745 28 12 0.1271485 0.01744512 28 13 -0.03785152 0.07075826 28 14 0.07181302 0.01244429 28 15 -0.0677698 -0.01593231 28 16 0.02304945 0.05150604 28 17 -0.03314692 -0.04964942 28 18 0.03295314 -0.05579434 28 19 0.03523499 0.01599864 28 20 -0.01320191 0.01576046 28 21 -0.04058346 -0.03863695 28 22 0.01421526 0.007461022 28 23 0.04486721 0.09716374 28 24 0.01521399 -0.03915876 28 25 0.0342627 -0.01119745 28 26 -0.01315795 0.0297302 28 27 0.02597956 -0.02912595 28 28 -0.05666714 0.05428346 29 0 0.01614312 0 29 1 -0.01122784 -0.07087033 29 2 -0.02938471 -0.004929129 29 3 0.07874928 0.04455968 29 4 0.06288973 0.03492378 29 5 0.05985291 -0.02040774 29 6 0.1138915 0.01154419 29 7 -0.04635721 0.006132723 29 8 -0.04266025 0.03640864 29 9 -0.04343884 -0.04262066 29 10 -0.05506228 0.06487025 29 11 0.03601383 0.01930542 29 12 -0.06054755 0.07600105 29 13 0.00980755 0.02604699 29 14 -0.006646656 -0.03957817 29 15 -0.01844163 0.1209051 29 16 -0.00998924 -0.05647372 29 17 0.05495576 0.07903276 29 18 -0.03203957 0.02253855 29 19 -0.04622832 0.05010204 29 20 -0.1376206 -0.0002548082 29 21 -0.02139679 0.06064781 29 22 0.003652487 0.04220502 29 23 -0.00106324 -0.03494272 29 24 -0.03497089 0.09257355 29 25 -0.02432613 -0.08550727 29 26 -0.01618992 0.003558246 29 27 -0.01067961 0.02395152 29 28 -0.05746785 0.04116554 29 29 0.01815944 -0.07525389 30 0 0.004043133 0 30 1 0.0002448065 0.07349542 30 2 -0.02182963 0.01524796 30 3 -0.009667738 -0.02380034 30 4 -0.04803248 0.06643935 30 5 0.04639888 0.0345484 30 6 -0.01126368 0.06906839 30 7 0.01817381 0.0875989 30 8 -0.0252958 0.05264707 30 9 -0.05954464 -0.03653432 30 10 -0.06225283 -0.05496038 30 11 -0.004615209 0.06374371 30 12 0.04382379 -0.03557898 30 13 0.007764463 0.02239767 30 14 -0.06138184 -0.01113042 30 15 -0.03171316 -0.07001689 30 16 -0.02212746 -0.02987224 30 17 0.00301518 -0.09903334 30 18 -0.03499437 -0.05031552 30 19 -0.05755947 0.02967408 30 20 -0.007453177 -0.04129461 30 21 0.001169426 -0.09838067 30 22 -0.0529705 0.04541287 30 23 0.05294589 0.05997603 30 24 -0.01140495 0.01482448 30 25 -0.01075859 0.04949716 30 26 0.01782041 0.05202863 30 27 -0.03682463 -0.07326796 30 28 -0.05202125 0.04385064 30 29 0.04797525 -0.04458682 30 30 -0.05952679 0.01090997 31 0 -0.01645141 0 31 1 0.02300112 -0.06103703 31 2 -0.005015073 0.009788121 31 3 -0.07608177 0.02038253 31 4 0.04264262 -0.1197148 31 5 -0.0643261 0.00398538 31 6 -0.01080783 -0.05470269 31 7 0.07396939 -0.05951282 31 8 -0.00275431 -0.01622742 31 9 0.04682716 -0.0686308 31 10 0.01907148 0.05012379 31 11 0.003644315 -0.04006186 31 12 0.05183301 -0.02853703 31 13 0.08982016 0.01901248 31 14 0.0268396 -0.05074051 31 15 -0.002299398 -0.07947629 31 16 0.04398325 0.02356749 31 17 0.03380916 0.004979654 31 18 0.01397895 0.03083798 31 19 0.006809229 0.0284262 31 20 -0.00219292 -0.0005077416 31 21 -0.09018639 0.02410944 31 22 -0.06988122 0.07733174 31 23 -0.03430802 -0.07868642 31 24 0.03032174 0.04515836 31 25 0.01291982 -0.00834171 31 26 -0.0934452 -0.07501987 31 27 0.01610785 -0.0146311 31 28 -0.004185958 -0.009479875 31 29 0.05691962 -0.00167766 31 30 0.01700731 -0.01746267 31 31 0.007282095 -0.05227995 32 0 -0.03488854 0 32 1 -0.007175358 -0.01547954 32 2 0.03012906 0.02741174 32 3 0.009592189 0.01738337 32 4 -0.07695641 0.02354077 32 5 0.03557597 -0.04103551 32 6 -0.01800043 0.00729567 32 7 0.09346064 -0.008318658 32 8 0.02831557 0.007556108 32 9 -0.00261671 0.04195475 32 10 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