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      0.7171      1.2399      1.8419      2.1229      2.4029      2.7647
          3.2777      3.8481      4.1180      3.7828      2.9958      2.4886
   1      0.0534      0.1009      0.1621      0.1900      0.2119      0.2388
          0.2845      0.3459      0.3873      0.3645      0.2913      0.2415
   2     -0.0657     -0.1351     -0.2320     -0.2760     -0.3052     -0.3382
         -0.4030     -0.5032     -0.5841     -0.5602     -0.4508     -0.3732

 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     -0.0951     -0.2359     -0.4456     -0.5338     -0.5743     -0.6214
         -0.7541     -0.9877     -1.1863     -1.1429     -0.9146     -0.7545
   2     -0.0084     -0.0113     -0.0087     -0.0060     -0.0068     -0.0118
         -0.0169     -0.0145     -0.0013      0.0086      0.0107      0.0088

 L  =       3
 cosine terms 

   m
   0     -0.2583     -0.3542     -0.4329     -0.5331     -0.6869     -0.7957
         -0.7922     -0.6498     -0.4155     -0.2665     -0.1913     -0.1777
   1      0.0410      0.0688      0.1061      0.1301      0.1601      0.1940
          0.2291      0.2534      0.2491      0.2194      0.1752      0.1503
   2     -0.0878     -0.1662     -0.2812     -0.3435     -0.4152     -0.5134
         -0.6416     -0.7603     -0.7928     -0.7164     -0.5740     -0.4889
   3     -0.0021     -0.0033     -0.0040     -0.0047     -0.0065     -0.0083
         -0.0091     -0.0082     -0.0059     -0.0042     -0.0031     -0.0028

 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     -0.1834     -0.3353     -0.5403     -0.6540     -0.7968     -0.9878
         -1.2149     -1.3949     -1.3999     -1.2355     -0.9788     -0.8339
   2      0.0401      0.0689      0.1143      0.1423      0.1717      0.2056
          0.2480      0.2887      0.3017      0.2751      0.2227      0.1906
   3      0.0548      0.0953      0.1526      0.1874      0.2286      0.2783
          0.3355      0.3822      0.3863      0.3447      0.2760      0.2360

 L  =       4
 cosine terms 

   m
   0      0.3873      0.6066      1.0017      1.3075      1.5985      1.7817
          1.8501      1.7874      1.5837      1.3670      1.1487      1.0452
   1      0.0310      0.0497      0.0830      0.1111      0.1458      0.1779
          0.2022      0.2114      0.1990      0.1761      0.1488      0.1350
   2     -0.1729     -0.2796     -0.4699     -0.6349     -0.8423     -1.0321
         -1.1727     -1.2210     -1.1421     -1.0064     -0.8479     -0.7682
   3      0.0164      0.0259      0.0434      0.0567      0.0717      0.0853
          0.0957      0.0996      0.0938      0.0832      0.0706      0.0642
   4      0.0009      0.0018      0.0034      0.0054      0.0096      0.0150
          0.0202      0.0236      0.0236      0.0213      0.0180      0.0162

 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     -0.1380     -0.2294     -0.3830     -0.5229     -0.7108     -0.8845
         -1.0074     -1.0399     -0.9576     -0.8332     -0.6949     -0.6270
   2     -0.0014     -0.0016      0.0004      0.0022      0.0138      0.0372
          0.0678      0.0953      0.1084      0.1039      0.0907      0.0825
   3      0.0421      0.0694      0.1176      0.1615      0.2223      0.2828
          0.3312      0.3524      0.3341      0.2956      0.2490      0.2252
   4      0.0434      0.0691      0.1153      0.1536      0.1972      0.2331
          0.2567      0.2610      0.2404      0.2108      0.1776      0.1612

 L  =       5
 cosine terms 

   m
   0     -0.3158     -0.5376     -0.9315     -1.1851     -1.3721     -1.4439
         -1.4229     -1.3252     -1.1679     -1.0380     -0.9244     -0.8744
   1      0.0625      0.1004      0.1764      0.2362      0.2943      0.3326
          0.3503      0.3460      0.3201      0.2919      0.2638      0.2507
   2     -0.1078     -0.1632     -0.3165     -0.4753     -0.6583     -0.7986
         -0.8834     -0.9020     -0.8528     -0.7843     -0.7115     -0.6765
   3     -0.0090     -0.0169     -0.0305     -0.0366     -0.0366     -0.0318
         -0.0248     -0.0176     -0.0115     -0.0084     -0.0065     -0.0058
   4      0.0524      0.0835      0.1515      0.2096      0.2691      0.3102
          0.3312      0.3299      0.3068      0.2802      0.2534      0.2407
   5      0.0029      0.0045      0.0084      0.0121      0.0162      0.0192
          0.0210      0.0213      0.0201      0.0185      0.0168      0.0159

 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     -0.1457     -0.2444     -0.4474     -0.6064     -0.7471     -0.8209
         -0.8333     -0.7910     -0.7043     -0.6276     -0.5586     -0.5278
   2      0.0070      0.0047      0.0111      0.0297      0.0633      0.0990
          0.1297      0.1489      0.1529      0.1463      0.1359      0.1302
   3      0.0781      0.1211      0.2294      0.3345      0.4507      0.5365
          0.5853      0.5915      0.5551      0.5087      0.4606      0.4377
   4     -0.0034     -0.0054     -0.0073     -0.0072     -0.0068     -0.0067
         -0.0067     -0.0067     -0.0065     -0.0062     -0.0058     -0.0056
   5      0.0153      0.0250      0.0436      0.0572      0.0695      0.0770
          0.0799      0.0781      0.0717      0.0652      0.0588      0.0559

 L  =       6
 cosine terms 

   m
   0      0.2258      0.3944      0.5836      0.6389      0.6372      0.6005
          0.5475      0.4879      0.4274      0.3881      0.3579      0.3454
   1      0.0457      0.0717      0.1239      0.1640      0.2014      0.2254
          0.2374      0.2379      0.2284      0.2176      0.2068      0.2017
   2     -0.1610     -0.2665     -0.4987     -0.6737     -0.8275     -0.9179
         -0.9556     -0.9470     -0.9004     -0.8525     -0.8070     -0.7861
   3      0.0047      0.0044      0.0071      0.0134      0.0223      0.0302
          0.0359      0.0390      0.0396      0.0387      0.0373      0.0366
   4      0.0391      0.0627      0.1251      0.1777      0.2275      0.2594
          0.2755      0.2769      0.2660      0.2531      0.2403      0.2344
   5     -0.0013     -0.0022     -0.0010      0.0011      0.0036      0.0054
          0.0067      0.0074      0.0075      0.0073      0.0070      0.0068
   6      0.0013      0.0023      0.0035      0.0040      0.0043      0.0044
          0.0043      0.0041      0.0038      0.0035      0.0033      0.0032

 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      0.0012     -0.0082     -0.0287     -0.0361     -0.0305     -0.0156
          0.0029      0.0203      0.0337      0.0395      0.0423      0.0431
   2     -0.0107     -0.0308     -0.0331     -0.0080      0.0342      0.0746
          0.1077      0.1299      0.1405      0.1413      0.1388      0.1369
   3      0.0948      0.1527      0.3106      0.4451      0.5723      0.6534
          0.6937      0.6969      0.6688      0.6360      0.6036      0.5885
   4      0.0094      0.0170      0.0348      0.0474      0.0575      0.0625
          0.0639      0.0622      0.0583      0.0548      0.0516      0.0502
   5     -0.0158     -0.0258     -0.0482     -0.0654     -0.0809     -0.0903
         -0.0944     -0.0939     -0.0895     -0.0848     -0.0804     -0.0783
   6      0.0031      0.0053      0.0086      0.0103      0.0113      0.0115
          0.0112      0.0105      0.0096      0.0089      0.0084      0.0081

 L  =       7
 cosine terms 

   m
   0     -0.3138     -0.5281     -0.8524     -1.0289     -1.1481     -1.1974
         -1.2011     -1.1723     -1.1212     -1.0789     -1.0422     -1.0260
   1      0.0438      0.0675      0.1133      0.1465      0.1759      0.1944
          0.2043      0.2069      0.2038      0.1992      0.1944      0.1922
   2     -0.0028     -0.0083     -0.0667     -0.1245     -0.1818     -0.2218
         -0.2472     -0.2600     -0.2624     -0.2594     -0.2551     -0.2528
   3     -0.0391     -0.0695     -0.1001     -0.1068     -0.1041     -0.0968
         -0.0880     -0.0791     -0.0706     -0.0654     -0.0616     -0.0600
   4      0.0311      0.0540      0.1156      0.1631      0.2050      0.2308
          0.2446      0.2484      0.2447      0.2390      0.2332      0.2304
   5      0.0149      0.0253      0.0475      0.0631      0.0765      0.0846
          0.0888      0.0898      0.0882      0.0861      0.0840      0.0829
   6     -0.0042     -0.0071     -0.0134     -0.0179     -0.0218     -0.0242
         -0.0253     -0.0255     -0.0250     -0.0244     -0.0238     -0.0235
   7     -0.0035     -0.0056     -0.0101     -0.0133     -0.0162     -0.0181
         -0.0191     -0.0194     -0.0191     -0.0187     -0.0182     -0.0180

 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     -0.0400     -0.0813     -0.0904     -0.0576     -0.0035      0.0483
          0.0924      0.1256      0.1476      0.1565      0.1608      0.1619
   2      0.0213      0.0293      0.0754      0.1232      0.1739      0.2115
          0.2372      0.2513      0.2555      0.2538      0.2503      0.2484
   3      0.0993      0.1699      0.3403      0.4668      0.5762      0.6424
          0.6764      0.6841      0.6719      0.6555      0.6389      0.6312
   4      0.0169      0.0321      0.0620      0.0802      0.0933      0.0995
          0.1011      0.0995      0.0956      0.0921      0.0891      0.0877
   5     -0.0179     -0.0302     -0.0577     -0.0776     -0.0945     -0.1045
         -0.1095     -0.1103     -0.1081     -0.1053     -0.1026     -0.1013
   6     -0.0151     -0.0248     -0.0440     -0.0574     -0.0688     -0.0757
         -0.0791     -0.0797     -0.0781     -0.0762     -0.0743     -0.0734
   7     -0.0110     -0.0181     -0.0301     -0.0377     -0.0437     -0.0470
         -0.0484     -0.0483     -0.0470     -0.0457     -0.0444     -0.0438

 L  =       8
 cosine terms 

   m
   0      0.1512      0.2293      0.2775      0.2743      0.2538      0.2292
          0.2049      0.1828      0.1635      0.1522      0.1441      0.1408
   1      0.0503      0.0751      0.1150      0.1404      0.1616      0.1746
          0.1819      0.1848      0.1842      0.1825      0.1806      0.1796
   2     -0.1012     -0.1673     -0.2576     -0.3029     -0.3325     -0.3454
         -0.3482     -0.3444     -0.3361     -0.3291     -0.3229     -0.3202
   3      0.0301      0.0480      0.0848      0.1104      0.1321      0.1456
          0.1532      0.1565      0.1565      0.1552      0.1536      0.1528
   4      0.0419      0.0755      0.1505      0.2025      0.2465      0.2738
          0.2897      0.2968      0.2976      0.2955      0.2927      0.2913
   5      0.0046      0.0104      0.0236      0.0325      0.0399      0.0444
          0.0469      0.0481      0.0481      0.0478      0.0473      0.0471
   6      0.0010      0.0007     -0.0022     -0.0048     -0.0071     -0.0086
         -0.0096     -0.0101     -0.0103     -0.0103     -0.0103     -0.0102
   7      0.0095      0.0150      0.0221      0.0255      0.0277      0.0286
          0.0288      0.0284      0.0277      0.0271      0.0266      0.0264
   8     -0.0056     -0.0090     -0.0143     -0.0175     -0.0200     -0.0214
         -0.0222     -0.0224     -0.0222     -0.0220     -0.0217     -0.0215

 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      0.1020      0.1634      0.2858      0.3719      0.4478      0.4975
          0.5285      0.5443      0.5484      0.5462      0.5423      0.5402
   2     -0.0251     -0.0409     -0.0299     -0.0052      0.0255      0.0513
          0.0719      0.0871      0.0976      0.1022      0.1049      0.1058
   3      0.0776      0.1396      0.2745      0.3668      0.4437      0.4909
          0.5177      0.5292      0.5295      0.5252      0.5199      0.5173
   4      0.0368      0.0648      0.1059      0.1270      0.1408      0.1468
          0.1482      0.1466      0.1430      0.1399      0.1373      0.1361
   5     -0.0164     -0.0295     -0.0566     -0.0744     -0.0888     -0.0973
         -0.1019     -0.1035     -0.1030     -0.1019     -0.1007     -0.1002
   6     -0.0038     -0.0068     -0.0157     -0.0228     -0.0294     -0.0340
         -0.0371     -0.0389     -0.0397     -0.0398     -0.0396     -0.0395
   7      0.0078      0.0125      0.0205      0.0256      0.0297      0.0321
          0.0334      0.0338      0.0336      0.0333      0.0329      0.0327
   8     -0.0081     -0.0130     -0.0203     -0.0245     -0.0277     -0.0294
         -0.0302     -0.0303     -0.0299     -0.0295     -0.0290     -0.0288

 L  =       9
 cosine terms 

   m
   0     -0.2053     -0.3132     -0.4435     -0.5056     -0.5469     -0.5669
         -0.5745     -0.5741     -0.5685     -0.5630     -0.5578     -0.5555
   1      0.0055      0.0058      0.0142      0.0232      0.0328      0.0402
          0.0458      0.0499      0.0526      0.0539      0.0547      0.0549
   2      0.0731      0.1106      0.1569      0.1794      0.1943      0.2014
          0.2040      0.2036      0.2014      0.1993      0.1974      0.1965
   3     -0.0426     -0.0611     -0.0665     -0.0606     -0.0513     -0.0428
         -0.0355     -0.0293     -0.0244     -0.0217     -0.0197     -0.0190
   4      0.0421      0.0769      0.1421      0.1831      0.2165      0.2372
          0.2500      0.2570      0.2599      0.2603      0.2599      0.2595
   5      0.0225      0.0385      0.0634      0.0777      0.0888      0.0953
          0.0992      0.1010      0.1016      0.1014      0.1010      0.1008
   6     -0.0078     -0.0138     -0.0250     -0.0321     -0.0377     -0.0412
         -0.0433     -0.0444     -0.0448     -0.0448     -0.0447     -0.0446
   7     -0.0012     -0.0026     -0.0079     -0.0125     -0.0170     -0.0203
         -0.0227     -0.0244     -0.0255     -0.0260     -0.0263     -0.0264
   8      0.0064      0.0099      0.0153      0.0185      0.0211      0.0227
          0.0237      0.0242      0.0244      0.0243      0.0243      0.0242
   9     -0.0045     -0.0069     -0.0104     -0.0123     -0.0137     -0.0145
         -0.0150     -0.0152     -0.0152     -0.0151     -0.0150     -0.0150

 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     -0.0520     -0.0684     -0.0436     -0.0081      0.0321      0.0645
          0.0904      0.1100      0.1245      0.1318      0.1365      0.1383
   2      0.0071      0.0161      0.0467      0.0722      0.0967      0.1146
          0.1277      0.1368      0.1427      0.1453      0.1467      0.1472
   3      0.0627      0.1136      0.2066      0.2643      0.3107      0.3392
          0.3565      0.3657      0.3692      0.3693      0.3685      0.3679
   4      0.0112      0.0234      0.0394      0.0460      0.0494      0.0501
          0.0495      0.0483      0.0467      0.0456      0.0448      0.0444
   5     -0.0140     -0.0270     -0.0518     -0.0673     -0.0797     -0.0872
         -0.0917     -0.0940     -0.0948     -0.0948     -0.0946     -0.0944
   6     -0.0034     -0.0076     -0.0182     -0.0259     -0.0328     -0.0374
         -0.0406     -0.0426     -0.0438     -0.0443     -0.0444     -0.0445
   7     -0.0012     -0.0015     -0.0013     -0.0010     -0.0008     -0.0006
         -0.0005     -0.0004     -0.0003     -0.0003     -0.0003     -0.0003
   8      0.0053      0.0083      0.0139      0.0176      0.0208      0.0229
          0.0243      0.0252      0.0256      0.0257      0.0258      0.0258
   9     -0.0046     -0.0072     -0.0110     -0.0132     -0.0150     -0.0160
         -0.0167     -0.0170     -0.0170     -0.0170     -0.0170     -0.0169

 L  =      10
 cosine terms 

   m
   0      0.1094      0.1575      0.2038      0.2204      0.2282      0.2294
          0.2276      0.2242      0.2200      0.2170      0.2147      0.2137
   1      0.0536      0.0759      0.1030      0.1170      0.1273      0.1333
          0.1368      0.1386      0.1392      0.1392      0.1390      0.1389
   2     -0.0598     -0.0801     -0.0884     -0.0855     -0.0794     -0.0732
         -0.0675     -0.0625     -0.0582     -0.0556     -0.0538     -0.0531
   3      0.0342      0.0568      0.0893      0.1065      0.1189      0.1258
          0.1296      0.1314      0.1319      0.1318      0.1315      0.1313
   4      0.0218      0.0441      0.0839      0.1083      0.1282      0.1410
          0.1495      0.1550      0.1584      0.1598      0.1605      0.1607
   5      0.0105      0.0197      0.0331      0.0402      0.0455      0.0486
          0.0505      0.0516      0.0521      0.0522      0.0522      0.0522
   6     -0.0013     -0.0050     -0.0129     -0.0180     -0.0223     -0.0250
         -0.0268     -0.0280     -0.0287     -0.0290     -0.0292     -0.0292
   7     -0.0093     -0.0157     -0.0285     -0.0371     -0.0447     -0.0500
         -0.0538     -0.0564     -0.0582     -0.0590     -0.0595     -0.0597
   8      0.0023      0.0035      0.0055      0.0066      0.0075      0.0081
          0.0084      0.0087      0.0088      0.0088      0.0088      0.0089
   9      0.0114      0.0172      0.0258      0.0310      0.0352      0.0379
          0.0398      0.0410      0.0417      0.0420      0.0421      0.0421
  10      0.0051      0.0077      0.0112      0.0133      0.0149      0.0159
          0.0166      0.0170      0.0172      0.0173      0.0173      0.0173

 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      0.1167      0.1795      0.2649      0.3113      0.3469      0.3685
          0.3820      0.3898      0.3937      0.3948      0.3950      0.3950
   2     -0.0358     -0.0487     -0.0545     -0.0522     -0.0473     -0.0420
         -0.0371     -0.0328     -0.0290     -0.0268     -0.0252     -0.0246
   3      0.0111      0.0288      0.0622      0.0829      0.0997      0.1105
          0.1177      0.1223      0.1251      0.1262      0.1269      0.1271
   4      0.0321      0.0508      0.0681      0.0732      0.0745      0.0735
          0.0716      0.0693      0.0669      0.0654      0.0643      0.0638
   5     -0.0206     -0.0369     -0.0618     -0.0755     -0.0859     -0.0920
         -0.0956     -0.0976     -0.0986     -0.0988     -0.0988     -0.0987
   6     -0.0249     -0.0403     -0.0656     -0.0812     -0.0943     -0.1030
         -0.1090     -0.1130     -0.1155     -0.1166     -0.1172     -0.1174
   7      0.0069      0.0110      0.0175      0.0214      0.0247      0.0267
          0.0281      0.0290      0.0295      0.0297      0.0298      0.0299
   8      0.0011      0.0022      0.0055      0.0082      0.0109      0.0128
          0.0144      0.0155      0.0163      0.0167      0.0170      0.0171
   9      0.0002      0.0004      0.0004      0.0004      0.0004      0.0003
          0.0003      0.0002      0.0002      0.0002      0.0001      0.0001
  10     -0.0021     -0.0031     -0.0047     -0.0056     -0.0064     -0.0069
         -0.0073     -0.0075     -0.0076     -0.0077     -0.0077     -0.0077

 L  =      11
 cosine terms 

   m
   0     -0.0945     -0.1236     -0.1494     -0.1597     -0.1662     -0.1696
         -0.1713     -0.1719     -0.1719     -0.1716     -0.1713     -0.1711
   1     -0.0192     -0.0267     -0.0309     -0.0309     -0.0296     -0.0280
         -0.0264     -0.0249     -0.0236     -0.0228     -0.0222     -0.0220
   2      0.0881      0.1306      0.1840      0.2114      0.2318      0.2441
          0.2519      0.2567      0.2595      0.2606      0.2611      0.2613
   3     -0.0563     -0.0723     -0.0848     -0.0892     -0.0918     -0.0930
         -0.0934     -0.0934     -0.0932     -0.0930     -0.0927     -0.0926
   4      0.0238      0.0425      0.0696      0.0846      0.0963      0.1038
          0.1088      0.1122      0.1144      0.1154      0.1160      0.1163
   5      0.0193      0.0293      0.0389      0.0425      0.0443      0.0449
          0.0449      0.0446      0.0441      0.0438      0.0435      0.0434
   6     -0.0132     -0.0221     -0.0348     -0.0418     -0.0472     -0.0506
         -0.0528     -0.0542     -0.0551     -0.0555     -0.0558     -0.0559
   7     -0.0181     -0.0290     -0.0479     -0.0601     -0.0708     -0.0783
         -0.0839     -0.0880     -0.0910     -0.0925     -0.0935     -0.0939
   8      0.0023      0.0034      0.0051      0.0062      0.0072      0.0078
          0.0083      0.0087      0.0089      0.0090      0.0091      0.0091
   9     -0.0008     -0.0009     -0.0001      0.0008      0.0017      0.0025
          0.0031      0.0036      0.0040      0.0042      0.0043      0.0044
  10      0.0061      0.0088      0.0125      0.0144      0.0160      0.0171
          0.0178      0.0182      0.0185      0.0187      0.0188      0.0188
  11      0.0002      0.0003      0.0004      0.0004      0.0005      0.0005
          0.0005      0.0005      0.0005      0.0005      0.0005      0.0005

 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     -0.0988     -0.1316     -0.1614     -0.1729     -0.1796     -0.1825
         -0.1834     -0.1832     -0.1824     -0.1816     -0.1809     -0.1806
   2     -0.0237     -0.0304     -0.0357     -0.0372     -0.0374     -0.0370
         -0.0363     -0.0355     -0.0347     -0.0342     -0.0338     -0.0336
   3      0.0093      0.0191      0.0329      0.0401      0.0453      0.0484
          0.0504      0.0516      0.0523      0.0525      0.0527      0.0527
   4     -0.0176     -0.0237     -0.0350     -0.0429     -0.0502     -0.0555
         -0.0596     -0.0627     -0.0650     -0.0662     -0.0670     -0.0674
   5     -0.0050     -0.0127     -0.0239     -0.0296     -0.0337     -0.0360
         -0.0374     -0.0382     -0.0385     -0.0387     -0.0387     -0.0387
   6     -0.0109     -0.0194     -0.0334     -0.0419     -0.0490     -0.0538
         -0.0572     -0.0597     -0.0614     -0.0623     -0.0629     -0.0631
   7      0.0006      0.0019      0.0042      0.0056      0.0067      0.0074
          0.0079      0.0082      0.0084      0.0085      0.0085      0.0085
   8      0.0082      0.0130      0.0217      0.0275      0.0325      0.0362
          0.0388      0.0408      0.0423      0.0431      0.0436      0.0438
   9      0.0004      0.0006      0.0007      0.0008      0.0008      0.0008
          0.0008      0.0009      0.0009      0.0009      0.0009      0.0009
  10      0.0032      0.0045      0.0061      0.0069      0.0075      0.0078
          0.0080      0.0081      0.0082      0.0082      0.0082      0.0082
  11     -0.0012     -0.0017     -0.0024     -0.0028     -0.0031     -0.0033
         -0.0035     -0.0036     -0.0036     -0.0037     -0.0037     -0.0037

 L  =      12
 cosine terms 

   m
   0      0.0664      0.0935      0.1211      0.1326      0.1396      0.1430
          0.1446      0.1451      0.1450      0.1447      0.1444      0.1443
   1      0.0618      0.0827      0.1042      0.1137      0.1203      0.1240
          0.1262      0.1275      0.1281      0.1284      0.1285      0.1285
   2     -0.0291     -0.0331     -0.0329     -0.0313     -0.0294     -0.0278
         -0.0264     -0.0253     -0.0244     -0.0239     -0.0235     -0.0233
   3      0.0361      0.0542      0.0721      0.0788      0.0823      0.0835
          0.0836      0.0831      0.0824      0.0819      0.0814      0.0812
   4     -0.0086     -0.0070     -0.0041     -0.0027     -0.0016     -0.0010
         -0.0006     -0.0003     -0.0002     -0.0001      0.0000      0.0000
   5     -0.0186     -0.0255     -0.0362     -0.0428     -0.0486     -0.0527
         -0.0558     -0.0582     -0.0600     -0.0609     -0.0616     -0.0618
   6     -0.0037     -0.0090     -0.0175     -0.0225     -0.0265     -0.0292
         -0.0311     -0.0325     -0.0335     -0.0340     -0.0344     -0.0345
   7     -0.0240     -0.0369     -0.0567     -0.0687     -0.0789     -0.0861
         -0.0914     -0.0954     -0.0984     -0.1001     -0.1012     -0.1016
   8     -0.0086     -0.0119     -0.0160     -0.0182     -0.0199     -0.0211
         -0.0220     -0.0226     -0.0231     -0.0234     -0.0235     -0.0236
   9      0.0081      0.0120      0.0181      0.0220      0.0253      0.0277
          0.0295      0.0309      0.0319      0.0325      0.0329      0.0330
  10      0.0003      0.0005      0.0006      0.0007      0.0007      0.0007
          0.0008      0.0008      0.0008      0.0008      0.0008      0.0008
  11      0.0003      0.0004      0.0004      0.0004      0.0003      0.0002
          0.0002      0.0002      0.0001      0.0001      0.0001      0.0001
  12     -0.0048     -0.0067     -0.0092     -0.0106     -0.0117     -0.0124
         -0.0130     -0.0134     -0.0137     -0.0138     -0.0139     -0.0139

 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      0.0847      0.1121      0.1335      0.1395      0.1413      0.1408
          0.1393      0.1374      0.1354      0.1340      0.1330      0.1326
   2     -0.0290     -0.0406     -0.0552     -0.0629     -0.0688     -0.0726
         -0.0752     -0.0770     -0.0782     -0.0788     -0.0792     -0.0794
   3     -0.0236     -0.0309     -0.0396     -0.0442     -0.0479     -0.0503
         -0.0519     -0.0531     -0.0540     -0.0544     -0.0546     -0.0548
   4      0.0223      0.0288      0.0307      0.0290      0.0261      0.0233
          0.0207      0.0185      0.0165      0.0154      0.0146      0.0142
   5     -0.0070     -0.0134     -0.0200     -0.0224     -0.0235     -0.0238
         -0.0236     -0.0233     -0.0229     -0.0227     -0.0224     -0.0223
   6     -0.0168     -0.0259     -0.0379     -0.0444     -0.0497     -0.0532
         -0.0556     -0.0574     -0.0587     -0.0594     -0.0598     -0.0600
   7      0.0018      0.0035      0.0060      0.0075      0.0086      0.0093
          0.0098      0.0101      0.0104      0.0105      0.0106      0.0106
   8      0.0147      0.0224      0.0348      0.0426      0.0495      0.0544
          0.0582      0.0611      0.0633      0.0644      0.0653      0.0656
   9      0.0002      0.0003      0.0001     -0.0001     -0.0004     -0.0006
         -0.0008     -0.0010     -0.0011     -0.0012     -0.0012     -0.0012
  10     -0.0002     -0.0005     -0.0013     -0.0019     -0.0025     -0.0029
         -0.0033     -0.0036     -0.0038     -0.0039     -0.0040     -0.0041
  11      0.0027      0.0037      0.0051      0.0059      0.0066      0.0070
          0.0073      0.0075      0.0077      0.0078      0.0078      0.0079
  12     -0.0057     -0.0080     -0.0109     -0.0125     -0.0138     -0.0147
         -0.0153     -0.0157     -0.0161     -0.0162     -0.0163     -0.0164