Read TreeRingsPoints shape file, check and save parameters

TreeRingsPoints(TR)

Arguments

TR

a tree ring class (classTreeRingShape )

Value

a list of (P,P00,YR_P,n_id,YR_P,n_YR)

Examples

 #  didectory of tree ring shapefiles
 .dir <- system.file("shp",package = "TreeRingShape")

# path of  P_filename
.file <- "Abies_277_h400_TreeRing_Points.shp"
 TR_@P_filename <- paste(.dir,.file,sep="/")

  TreeRingsPoints(TR_)@P
#> 'data.frame':	3776 obs. of  4 variables:
#>  $ x : num  0 -7117 -7100 -7068 -7047 ...
#>  $ y : num  0 -4837 -4828 -4802 -4786 ...
#>  $ id: num  0 1 1 1 1 1 1 1 1 1 ...
#>  $ yr: num  186 0 1 2 3 4 5 6 7 8 ...






#>                  x             y  id  yr        rad         deg           r
#> 1481 -7117.4617276 -4836.9418441   1   0 -2.5446978 -145.800441  8605.47894
#> 1    -7099.8550239 -4827.8665188   1   1 -2.5444194 -145.784490  8585.81601
#> 2    -7067.8156385 -4801.6524762   1   2 -2.5448478 -145.809040  8544.58217
#> 3    -7047.4269388 -4785.6327835   1   3 -2.5450584 -145.821103  8518.71514
#> 4    -7028.4945747 -4772.5257622   1   4 -2.5450828 -145.822503  8495.68939
#> 5    -7002.2805321 -4759.4187409   1   5 -2.5446242 -145.796229  8466.64038
#> 6    -6971.6974825 -4733.2046984   1   6 -2.5451569 -145.826746  8426.61216
#> 7    -6935.2890900 -4709.9033272   1   7 -2.5450170 -145.818734  8383.40170
#> 8    -6906.1623760 -4689.5146274   1   8 -2.5450773 -145.822187  8347.85159
#> 9    -6863.9286408 -4661.8442492   1   9 -2.5449768 -145.816430  8297.36755
#> 10   -6828.9765841 -4637.0865423   1  10 -2.5450789 -145.822281  8254.54377
#> 11   -6802.7625415 -4619.6105139   1  11 -2.5450463 -145.820413  8223.03955
#> 12   -6788.1991845 -4609.4161641   1  12 -2.5450770 -145.822173  8205.26450
#> 13   -6770.7231561 -4597.7654785   1  13 -2.5450552 -145.820921  8184.26169
#> 14   -6750.3344564 -4584.6584572   1  14 -2.5449803 -145.816633  8160.03115
#> 15   -6732.8584280 -4573.0077716   1  15 -2.5449581 -145.815360  8139.02836
#> 16   -6719.7514067 -4564.2697574   1  16 -2.5449414 -145.814401  8123.27627
#> 17   -6708.1007211 -4559.9007503   1  17 -2.5445799 -145.793689  8111.18426
#> 18   -6697.1951174 -4549.6326272   1  18 -2.5448715 -145.810398  8096.39299
#> 19   -6678.5145208 -4539.6251648   1  19 -2.5445967 -145.794652  8075.31751
#> 20   -6659.1667601 -4526.9490457   1  20 -2.5445479 -145.791855  8052.19036
#> 21   -6644.4891485 -4512.9385983   1  21 -2.5449631 -145.815644  8032.17597
#> 22   -6628.4772086 -4504.2654641   1  22 -2.5447358 -145.802619  8014.05749
#> 23   -6611.7981045 -4492.2565092   1  23 -2.5448056 -145.806621  7993.51254
#> 24   -6587.1130305 -4476.2445693   1  24 -2.5447267 -145.802099  7964.09590
#> 25   -6558.4249715 -4457.5639727   1  25 -2.5446418 -145.797233  7929.86852
#> 26   -6536.4085541 -4443.5535253   1  26 -2.5445420 -145.791517  7903.78420
#> 27   -6505.0518384 -4421.5371079   1  27 -2.5446156 -145.795732  7865.47454
#> 28   -6483.7025852 -4406.8594963   1  28 -2.5446331 -145.796737  7839.56694
#> 29   -6465.6891528 -4394.8505414   1  29 -2.5446083 -145.795316  7817.91836
#> 30   -6446.3413920 -4381.5072581   1  30 -2.5446287 -145.796485  7794.41615
#> 31   -6424.9921388 -4365.4953182   1  31 -2.5447885 -145.805642  7767.75858
#> 32   -6402.3085573 -4350.1505425   1  32 -2.5447813 -145.805228  7740.37238
#> 33   -6379.6249757 -4336.1400950   1  33 -2.5446309 -145.796612  7713.73617
#> 34   -6354.2727375 -4318.7938268   1  34 -2.5446433 -145.797320  7683.01778
#> 35   -6330.2548277 -4302.7818869   1  35 -2.5446095 -145.795387  7654.15300
#> 36   -6313.5757236 -4291.4400961   1  36 -2.5446100 -145.795416  7633.98300
#> 37   -6294.8951270 -4278.0968128   1  37 -2.5446802 -145.799437  7611.03258
#> 38   -6280.2175154 -4269.4236787   1  38 -2.5445384 -145.791312  7594.01808
#> 39   -6263.5384113 -4258.0818879   1  39 -2.5445387 -145.791331  7573.84808
#> 40   -6248.1936356 -4248.0744255   1  40 -2.5444923 -145.788670  7555.53175
#> 41   -6235.5175165 -4241.4027839   1  41 -2.5442788 -145.776439  7541.29805
#> 42   -6228.1787107 -4232.7296498   1  42 -2.5446830 -145.799599  7530.35260
#> 43   -6218.8384124 -4226.7251723   1  43 -2.5446453 -145.797435  7519.25242
#> 44   -6208.1637858 -4219.3863665   1  44 -2.5446545 -145.797963  7506.29862
#> 45   -6194.8205025 -4212.0475607   1  45 -2.5444635 -145.787020  7491.13781
#> 46   -6182.8115476 -4204.7087549   1  46 -2.5443721 -145.781783  7477.08060
#> 47   -6169.4682643 -4196.0356208   1  47 -2.5443276 -145.779236  7461.16972
#> 48   -6158.7936377 -4190.0311433   1  48 -2.5441883 -145.771249  7448.96637
#> 49   -6146.1175186 -4181.3580092   1  49 -2.5441937 -145.771563  7433.60716
#> 50   -6128.7712504 -4170.0162184   1  50 -2.5441425 -145.768627  7412.88556
#> 51   -6112.0921463 -4158.6744276   1  51 -2.5441417 -145.768585  7392.71556
#> 52   -6094.7458781 -4147.3326369   1  52 -2.5440901 -145.765625  7371.99399
#> 53   -6073.3966248 -4132.6550253   1  53 -2.5441070 -145.766592  7346.08631
#> 54   -6054.7160283 -4119.9789062   1  54 -2.5441030 -145.766364  7323.51093
#> 55   -6038.0369242 -4109.3042796   1  55 -2.5440266 -145.761988  7303.71628
#> 56   -6008.6817010 -4091.9580113   1  56 -2.5437273 -145.744839  7269.68886
#> 57   -5988.6667761 -4077.2803997   1  57 -2.5438468 -145.751684  7244.88407
#> 58   -5957.3100605 -4049.2595049   1  58 -2.5446125 -145.795554  7203.19691
#> 59   -5934.6264789 -4036.5833858   1  59 -2.5442965 -145.777450  7177.31126
#> 60   -5887.2578233 -4000.5565210   1  60 -2.5447388 -145.802795  7117.88291
#> 61   -5848.5623019 -3968.5326411   1  61 -2.5454093 -145.841209  7067.88033
#> 62   -5811.2011087 -3941.8460746   1  62 -2.5455666 -145.850224  7021.98040
#> 63   -5749.1548416 -3905.1520456   1  63 -2.5449244 -145.813429  6950.03553
#> 64   -5712.4608126 -3879.7998074   1  64 -2.5449757 -145.816364  6905.43663
#> 65   -5673.7652911 -3853.1132409   1  65 -2.5450245 -145.819165  6858.43234
#> 66   -5633.7354413 -3826.4266744   1  66 -2.5449640 -145.815698  6810.32423
#> 67   -5596.3742482 -3805.7445853   1  67 -2.5443903 -145.782827  6767.79850
#> 68   -5565.6846967 -3783.0610038   1  68 -2.5446132 -145.795595  6729.66542
#> 69   -5531.6593244 -3761.7117506   1  69 -2.5443933 -145.782999  6689.52391
#> 70   -5496.2996237 -3735.0251840   1  70 -2.5447219 -145.801827  6645.27822
#> 71   -5458.9384306 -3708.3386175   1  71 -2.5448846 -145.811145  6599.37755
#> 72   -5424.9130583 -3686.3222001   1  72 -2.5447462 -145.803214  6558.86065
#> 73   -5400.2279842 -3668.9759319   1  73 -2.5448187 -145.807369  6528.69410
#> 74   -5368.8712686 -3648.2938428   1  74 -2.5447394 -145.802827  6491.13447
#> 75   -5340.8503737 -3633.6162313   1  75 -2.5441807 -145.770817  6459.70972
#> 76   -5304.8235089 -3610.2654855   1  76 -2.5440313 -145.762254  6416.78809
#> 77   -5276.8026141 -3590.2505606   1  77 -2.5441537 -145.769267  6382.36202
#> 78   -5247.4473909 -3570.2356358   1  78 -2.5441591 -145.769581  6346.83280
#> 79   -5215.4235111 -3546.2177259   1  79 -2.5444514 -145.786328  6306.84569
#> 80   -5180.0638104 -3522.1998160   1  80 -2.5444481 -145.786140  6264.10030
#> 81   -5144.0369456 -3502.8520553   1  81 -2.5437640 -145.746941  6223.43061
#> 82   -5101.3384392 -3472.8296679   1  82 -2.5438908 -145.754206  6171.23973
#> 83   -5059.9742610 -3445.4759372   1  83 -2.5437820 -145.747972  6121.65369
#> 84   -5021.9459037 -3422.1251915   1  84 -2.5434360 -145.728148  6077.07837
#> 85   -4975.9115765 -3388.7669834   1  85 -2.5437090 -145.743790  6020.25229
#> 86   -4919.8697868 -3350.0714619   1  86 -2.5437825 -145.748000  5952.15066
#> 87   -4868.4981462 -3320.7162387   1  87 -2.5429935 -145.702795  5893.16812
#> 88   -4824.4653115 -3290.0266872   1  88 -2.5430862 -145.708109  5839.49836
#> 89   -4773.0936709 -3249.3296733   1  89 -2.5438967 -145.754545  5774.12907
#> 90   -4724.3906870 -3219.3072859   1  90 -2.5434438 -145.728592  5716.97532
#> 91   -4684.3608372 -3193.2878836   1  91 -2.5432604 -145.718087  5669.24369
#> 92   -4647.6668082 -3169.2699737   1  92 -2.5431141 -145.709704  5625.39589
#> 93   -4612.3071076 -3142.5834072   1  93 -2.5434952 -145.731541  5581.14749
#> 94   -4561.6026312 -3108.5580349   1  94 -2.5434171 -145.727064  5520.08620
#> 95   -4508.8966623 -3077.8684834   1  95 -2.5426258 -145.681726  5459.25119
#> 96   -4452.1877084 -3041.8416185   1  96 -2.5422147 -145.658172  5392.10310
#> 97   -4402.8175603 -3005.8147537   1  97 -2.5425703 -145.678547  5331.01536
#> 98   -4342.1056215 -2962.4490831   1  98 -2.5428716 -145.695809  5256.42329
#> 99   -4292.7354734 -2927.0893825   1  99 -2.5431381 -145.711079  5195.71267
#> 100  -4260.0444294 -2900.4028160   1 100 -2.5438428 -145.751454  5153.67005
#> 101  -4206.0041322 -2861.0401303   1 101 -2.5442604 -145.775381  5086.84788
#> 102  -4146.6265217 -2825.6804297   1 102 -2.5434314 -145.727887  5017.86622
#> 103  -4093.2533886 -2793.6565499   1 103 -2.5427066 -145.686357  4955.72802
#> 104  -4036.5444348 -2755.6281926   1 104 -2.5425924 -145.679815  4887.45104
#> 105  -3982.5041376 -2720.2684919   1 105 -2.5423301 -145.664784  4822.88294
#> 106  -3919.7907062 -2674.9013288   1 106 -2.5427704 -145.690012  4745.50907
#> 107  -3866.4175732 -2644.8789415   1 107 -2.5416419 -145.625355  4684.50312
#> 108  -3816.3802609 -2607.5177483   1 108 -2.5422013 -145.657404  4622.11068
#> 109  -3772.3474262 -2578.8296893   1 109 -2.5419488 -145.642940  4569.56975
#> 110  -3710.3011590 -2534.7968546   1 110 -2.5422459 -145.659962  4493.49861
#> 111  -3638.2474294 -2484.7595423   1 111 -2.5423981 -145.668679  4405.77738
#> 112  -3557.5205656 -2432.7207376   1 112 -2.5418052 -145.634712  4309.76598
#> 113  -3503.4802684 -2380.0147687   1 113 -2.5448752 -145.810606  4235.42729
#> 114  -3439.4325088 -2343.3207397   1 114 -2.5435206 -145.732993  4161.83230
#> 115  -3368.7131075 -2295.9520842   1 115 -2.5433557 -145.723548  4076.71730
#> 116  -3309.3354970 -2254.5879060   1 116 -2.5435405 -145.734133  4004.35614
#> 117  -3247.2892298 -2212.5565638   1 117 -2.5434901 -145.731246  3929.41394
#> 118  -3191.9146042 -2179.8655198   1 118 -2.5424128 -145.669521  3865.24676
#> 119  -3129.2011729 -2137.1670133   1 119 -2.5423843 -145.667890  3789.37763
#> 120  -3073.8265474 -2094.4685069   1 120 -2.5434675 -145.729952  3719.57094
#> 121  -3013.7817727 -2055.7729854   1 121 -2.5429650 -145.701162  3648.16161
#> 122  -2963.0772963 -2025.7505981   1 122 -2.5419145 -145.640972  3589.35824
#> 123  -2905.7011783 -1980.3834350   1 123 -2.5433562 -145.723576  3516.39274
#> 124  -2856.4274175 -1942.9523344   1 124 -2.5442768 -145.776320  3454.59713
#> 125  -2808.6108522 -1911.4368709   1 125 -2.5440311 -145.762242  3397.33511
#> 126  -2751.0136258 -1875.5744469   1 126 -2.5432027 -145.714782  3329.54283
#> 127  -2682.5489982 -1831.0181020   1 127 -2.5426631 -145.683864  3247.87568
#> 128  -2631.4722125 -1788.6352373   1 128 -2.5446150 -145.795702  3181.80169
#> 129  -2583.6556472 -1754.9462936   1 129 -2.5449295 -145.813720  3123.31763
#> 130  -2533.6656017 -1719.0838696   1 130 -2.5454446 -145.843235  3061.81494
#> 131  -2488.0225166 -1693.0021067   1 131 -2.5441009 -145.766243  3009.40396
#> 132  -2435.8589908 -1662.5733833   1 132 -2.5426806 -145.684865  2949.16247
#> 133  -2395.6496064 -1633.2314001   1 133 -2.5432211 -145.715834  2899.41060
#> 134  -2355.4402219 -1603.8894168   1 134 -2.5437805 -145.747885  2849.65961
#> 135  -2314.1440973 -1573.4606934   1 135 -2.5444625 -145.786961  2798.39980
#> 136  -2269.5877524 -1545.2054503   1 136 -2.5438480 -145.751757  2745.66721
#> 137  -2227.2048877 -1515.8634670   1 137 -2.5439973 -145.760308  2694.12020
#> 138  -2172.8678817 -1480.0010431   1 138 -2.5436451 -145.740129  2629.02224
#> 139  -2125.0513164 -1448.4855796   1 139 -2.5433065 -145.720726  2571.76079
#> 140  -2089.1888924 -1423.4905568   1 140 -2.5434863 -145.731033  2528.04976
#> 141  -2058.7601690 -1398.4955340   1 141 -2.5449015 -145.812118  2488.83169
#> 142  -2016.3773043 -1371.3270310   1 142 -2.5443514 -145.780597  2438.50677
#> 143  -1969.6474791 -1338.7248274   1 143 -2.5446366 -145.796940  2381.53214
#> 144  -1930.5248348 -1316.9900250   1 144 -2.5429181 -145.698475  2336.96146
#> 145  -1883.7950096 -1287.6480417   1 145 -2.5419997 -145.645856  2281.82408
#> 146  -1850.1060659 -1262.6530190   1 146 -2.5427248 -145.687401  2239.90739
#> 147  -1805.5497209 -1230.0508153   1 147 -2.5435541 -145.734917  2184.72763
#> 148  -1768.6005568 -1202.8823123   1 148 -2.5443256 -145.779116  2138.89546
#> 149  -1727.3044323 -1178.9740297   1 149 -2.5426734 -145.684455  2091.30590
#> 150  -1689.2685281 -1156.1524872   1 150 -2.5414065 -145.611866  2047.02631
#> 151  -1645.7989232 -1123.5502835   1 151 -2.5425872 -145.679517  1992.74166
#> 152  -1593.6353974 -1090.9480799   1 152 -2.5413006 -145.605798  1931.27976
#> 153  -1553.4260130 -1055.0856559   1 153 -2.5449638 -145.815686  1877.85466
#> 154  -1517.5635890 -1032.2641134   1 154 -2.5442714 -145.776015  1835.36603
#> 155  -1479.5276848 -1009.4425709   1 155 -2.5428630 -145.695317  1791.08249
#> 156  -1426.2774189  -968.1464463   1 156 -2.5452421 -145.831633  1723.82563
#> 157  -1370.8536727  -932.2840223   1 157 -2.5443644 -145.781339  1657.82788
#> 158  -1319.7768871  -892.0746379   1 158 -2.5472055 -145.944124  1592.98719
#> 159  -1268.7001014  -867.0796151   1 159 -2.5420679 -145.649761  1536.69353
#> 160  -1221.9702762  -835.5641516   1 160 -2.5418328 -145.636291  1480.33064
#> 161  -1186.1078523  -812.7426091   1 161 -2.5408564 -145.580351  1437.84644
#> 162  -1142.6382474  -787.7475863   1 162 -2.5380087 -145.417186  1387.86470
#> 163  -1104.6023432  -755.1453827   1 163 -2.5419342 -145.642102  1338.05489
#> 164  -1067.6531791  -725.8033994   1 164 -2.5445446 -145.791666  1290.99724
#> 165  -1035.0509755  -702.9818569   1 165 -2.5449796 -145.816591  1251.20502
#> 166   -992.6681108  -674.7266138   1 166 -2.5446142 -145.795655  1200.26913
#> 167   -955.7189467  -649.7315910   1 167 -2.5445285 -145.790747  1155.65992
#> 168   -917.6830425  -623.6498281   1 168 -2.5446952 -145.800296  1109.54102
#> 169   -877.4736580  -600.8282856   1 169 -2.5411920 -145.599576  1063.46352
#> 170   -835.0907933  -575.8332628   1 170 -2.5379175 -145.411962  1014.37694
#> 171   -789.4477083  -546.4912795   1 171 -2.5360903 -145.307272   960.14603
#> 172   -754.6720244  -521.4962568   1 172 -2.5369165 -145.354608   917.32666
#> 173   -709.0289393  -491.0675334   1 173 -2.5358561 -145.293849   862.47861
#> 174   -676.4267357  -467.1592507   1 174 -2.5371843 -145.369955   822.06502
#> 175   -641.6510519  -442.1642280   1 175 -2.5382170 -145.429123   779.24661
#> 176   -612.3090686  -424.7763860   1 176 -2.5350880 -145.249844   745.22304
#> 177   -566.6659836  -398.6946232   1 177 -2.5284683 -144.870563   692.86921
#> 178   -528.6300793  -363.9189393   1 178 -2.5386816 -145.455741   641.78404
#> 179   -488.4206949  -340.0106566   1 179 -2.5334600 -145.156563   595.11513
#> 180   -438.4306493  -309.5819333   1 180 -2.5267752 -144.773557   536.71446
#> 181   -373.2262421  -262.8521081   1 181 -2.5280066 -144.844106   456.49650
#> 182   -315.6290157  -221.5559835   1 182 -2.5295587 -144.933040   385.62771
#> 183   -250.4246085  -178.0863787   1 183 -2.5234308 -144.581933   307.29016
#> 184   -128.7097150   -93.3206493   1 184 -2.5142534 -144.056107   158.98092
#> 185    -71.1124886   -49.8510445   1 185 -2.5301846 -144.968901    86.84534
#> 1482 -1620.9116721 -8947.7728630   2   0 -1.7500054 -100.267923  9093.40387
#> 186  -1619.0225392 -8908.5113564   2   1 -1.7505730 -100.300446  9054.43585
#> 187  -1615.2210086 -8865.4273423   2   2 -1.7510129 -100.325647  9011.36731
#> 188  -1606.3507704 -8832.4807433   2   3 -1.7506986 -100.307642  8977.36481
#> 189  -1601.2820628 -8794.4654367   2   4 -1.7509017 -100.319277  8939.05625
#> 190  -1594.9461784 -8770.3890759   2   5 -1.7506862 -100.306933  8914.23456
#> 191  -1587.3431171 -8737.4424769   2   6 -1.7505077 -100.296704  8880.45940
#> 192  -1581.0072327 -8695.6256397   2   7 -1.7506481 -100.304747  8838.18359
#> 193  -1574.6713482 -8657.6103331   2   8 -1.7507125 -100.308436  8799.64809
#> 194  -1568.3354638 -8609.4576114   2   9 -1.7509848 -100.324040  8751.13915
#> 195  -1560.7324025 -8572.7094818   2  10 -1.7508822 -100.318160  8713.62344
#> 196  -1556.9308718 -8552.4346516   2  11 -1.7508697 -100.317445  8692.99558
#> 197  -1555.6636949 -8534.6941752   2  12 -1.7510923 -100.330196  8675.31522
#> 198  -1550.5949874 -8518.2208757   2  13 -1.7508575 -100.316745  8658.20026
#> 199  -1550.5949874 -8506.8162837   2  14 -1.7510937 -100.330279  8646.98029
#> 200  -1549.9043184 -8494.5168785   2  15 -1.7512704 -100.340405  8634.75653
#> 201  -1547.3969938 -8485.9919748   2  16 -1.7511619 -100.334185  8625.92008
#> 202  -1545.3911341 -8476.4641413   2  17 -1.7511312 -100.332429  8616.18698
#> 203  -1543.3852744 -8468.4407025   2  18 -1.7510692 -100.328873  8607.93390
#> 204  -1540.8779498 -8454.3996847   2  19 -1.7510751 -100.329211  8593.67086
#> 205  -1537.8691602 -8440.8601317   2  20 -1.7510130 -100.325657  8579.81126
#> 206  -1536.8662304 -8425.3147191   2  21 -1.7512232 -100.337697  8564.33803
#> 207  -1532.8545110 -8413.2795610   2  22 -1.7510142 -100.325725  8551.77852
#> 208  -1530.3471864 -8395.7282887   2  23 -1.7510938 -100.330285  8534.06210
#> 209  -1529.8457215 -8380.1828760   2  24 -1.7513631 -100.345716  8518.67906
#> 210  -1526.3354670 -8367.1447880   2  25 -1.7512324 -100.338227  8505.22262
#> 211  -1525.3325372 -8353.1037702   2  26 -1.7514130 -100.348572  8491.22971
#> 212  -1522.8252125 -8344.5788665   2  27 -1.7513027 -100.342256  8482.39312
#> 213  -1520.8193529 -8332.0422434   2  28 -1.7513355 -100.344132  8469.70008
#> 214  -1517.8105633 -8322.5144099   2  29 -1.7511878 -100.335673  8459.78694
#> 215  -1516.8076335 -8312.9865763   2  30 -1.7512734 -100.340573  8450.23380
#> 216  -1516.3061685 -8297.9426286   2  31 -1.7515350 -100.355564  8435.34447
#> 217  -1511.2915193 -8287.9133302   2  32 -1.7511635 -100.334276  8424.57770
#> 218  -1508.2827298 -8266.8518034   2  33 -1.7512608 -100.339855  8403.31813
#> 219  -1504.7724753 -8241.2770923   2  34 -1.7513966 -100.347632  8377.52877
#> 220  -1498.7548962 -8217.2067760   2  35 -1.7512055 -100.336683  8352.76921
#> 221  -1496.2475716 -8200.1569686   2  36 -1.7512766 -100.340757  8335.54624
#> 222  -1493.2387821 -8177.0895822   2  37 -1.7514186 -100.348895  8312.31352
#> 223  -1487.7226679 -8158.0339151   2  38 -1.7511771 -100.335055  8292.57717
#> 224  -1487.7226679 -8139.9811778   2  39 -1.7515685 -100.357480  8274.81796
#> 225  -1483.7109485 -8127.9460197   2  40 -1.7513527 -100.345119  8262.25784
#> 226  -1481.2036239 -8110.3947474   2  41 -1.7514358 -100.349881  8244.54166
#> 227  -1479.1977642 -8100.8669138   2  42 -1.7514041 -100.348061  8234.80848
#> 228  -1478.6962993 -8095.8522646   2  43 -1.7514536 -100.350898  8229.78533
#> 229  -1478.6962993 -8088.8317557   2  44 -1.7516070 -100.359688  8222.87917
#> 230  -1478.1948344 -8078.8024572   2  45 -1.7517665 -100.368828  8212.92330
#> 231  -1473.6816501 -8065.2629043   2  46 -1.7515223 -100.354834  8198.79280
#> 232  -1471.6757904 -8049.2160267   2  47 -1.7516336 -100.361213  8182.64678
#> 233  -1468.1655359 -8029.1574298   2  48 -1.7516526 -100.362299  8162.28394
#> 234  -1463.6523516 -8008.0959030   2  49 -1.7515726 -100.357715  8140.75415
#> 235  -1459.6406322 -7992.5504904   2  50 -1.7514308 -100.349596  8124.74086
#> 236  -1457.6347725 -7972.4918935   2  51 -1.7516320 -100.361122  8104.64843
#> 237  -1453.1215882 -7955.4420861   2  52 -1.7514622 -100.351393  8087.06505
#> 238  -1452.1186584 -7937.8908138   2  53 -1.7517308 -100.366780  8069.61952
#> 239  -1449.6113338 -7915.8263572   2  54 -1.7519177 -100.377488  8047.46419
#> 240  -1446.6025442 -7903.2897341   2  55 -1.7518304 -100.372487  8034.59069
#> 241  -1441.5878950 -7877.7150230   2  56 -1.7517894 -100.370140  8008.53105
#> 242  -1438.5791055 -7850.6359172   2  57 -1.7520293 -100.383886  7981.35290
#> 243  -1432.0600615 -7816.5363024   2  58 -1.7519958 -100.381967  7946.63676
#> 244  -1427.5468771 -7784.9440122   2  59 -1.7521543 -100.391045  7914.74847
#> 245  -1419.5234384 -7741.3165639   2  60 -1.7521514 -100.390878  7870.38938
#> 246  -1410.4970698 -7678.1319836   2  61 -1.7524739 -100.409357  7806.61340
#> 247  -1402.4736310 -7637.0118599   2  62 -1.7524144 -100.405949  7764.72037
#> 248  -1393.4472624 -7590.8770870   2  63 -1.7523438 -100.401903  7717.71405
#> 249  -1383.4179639 -7555.7745423   2  64 -1.7518847 -100.375598  7681.37840
#> 250  -1375.3945251 -7494.5958217   2  65 -1.7522949 -100.399104  7619.75568
#> 251  -1359.3476476 -7416.3672937   2  66 -1.7520744 -100.386468  7539.91577
#> 252  -1352.3271387 -7361.2061522   2  67 -1.7524805 -100.409736  7484.39341
#> 253  -1340.2919805 -7316.0743091   2  68 -1.7519854 -100.381369  7437.83072
#> 254  -1334.2744014 -7280.9717645   2  69 -1.7520403 -100.384515  7402.21845
#> 255  -1328.2568224 -7251.8867989   2  70 -1.7519486 -100.379259  7372.52523
#> 256  -1323.2421731 -7207.7578857   2  71 -1.7523604 -100.402853  7328.21558
#> 257  -1311.2070150 -7144.5733054   2  72 -1.7523014 -100.399476  7263.89644
#> 258  -1300.1747867 -7076.3740758   2  73 -1.7525043 -100.411100  7194.82623
#> 259  -1293.1542777 -7031.2422327   2  74 -1.7526793 -100.421124  7149.16886
#> 260  -1288.1396285 -6994.1338284   2  75 -1.7529296 -100.435467  7111.76572
#> 261  -1275.1015405 -6930.9492481   2  76 -1.7527341 -100.424264  7047.26482
#> 262  -1264.0693122 -6888.8261945   2  77 -1.7522731 -100.397853  7003.84163
#> 263  -1260.0575928 -6849.7119305   2  78 -1.7527201 -100.423467  6964.64634
#> 264  -1250.0282943 -6805.5830173   2  79 -1.7524485 -100.407901  6919.43140
#> 265  -1243.0077854 -6762.4570339   2  80 -1.7525773 -100.415283  6875.74676
#> 266  -1234.9843466 -6727.3544893   2  81 -1.7523514 -100.402338  6839.77227
#> 267  -1229.9696974 -6689.2431551   2  82 -1.7526380 -100.418758  6801.38217
#> 268  -1220.9433288 -6648.1230314   2  83 -1.7524247 -100.406540  6759.30784
#> 269  -1209.9111005 -6593.9648197   2  84 -1.7522654 -100.397412  6704.04780
#> 270  -1195.8700826 -6534.7919588   2  85 -1.7517941 -100.370406  6643.31327
#> 271  -1183.8349245 -6463.5839397   2  86 -1.7519431 -100.378948  6571.10207
#> 272  -1170.7968365 -6393.3788505   2  87 -1.7519159 -100.377390  6499.69679
#> 273  -1163.7763276 -6335.2089194   2  88 -1.7524706 -100.409168  6441.21475
#> 274  -1154.7499589 -6292.0829360   2  89 -1.7523008 -100.399442  6397.16774
#> 275  -1146.7265202 -6251.9657421   2  90 -1.7521986 -100.393582  6356.26127
#> 276  -1138.7030814 -6192.7928812   2  91 -1.7526406 -100.418910  6296.61245
#> 277  -1127.6708531 -6124.5936516   2  92 -1.7528788 -100.432555  6227.54277
#> 278  -1114.6327651 -6049.3739132   2  93 -1.7530085 -100.439989  6151.20565
#> 279  -1097.5829577 -5974.1541747   2  94 -1.7524920 -100.410396  6074.14245
#> 280  -1087.5536592 -5896.9285765   2  95 -1.7531741 -100.449478  5996.37721
#> 281  -1074.5155712 -5835.7498559   2  96 -1.7528833 -100.432813  5933.84867
#> 282  -1062.4804131 -5765.5447666   2  97 -1.7530328 -100.441381  5862.62493
#> 283  -1043.4247460 -5671.2693611   2  98 -1.7527459 -100.424941  5766.45744
#> 284  -1029.3837281 -5600.0613420   2  99 -1.7525835 -100.415639  5693.88425
#> 285  -1020.3573595 -5554.9294989   2 100 -1.7524563 -100.408352  5647.86428
#> 286  -1009.3251312 -5494.7537081   2 101 -1.7524601 -100.408565  5586.68556
#> 287   -995.2841134 -5430.5661980   2 102 -1.7520591 -100.385595  5521.01799
#> 288   -982.2460254 -5363.3698983   2 103 -1.7519288 -100.378125  5452.57223
#> 289   -972.2167269 -5310.2146164   2 104 -1.7518751 -100.375051  5398.47984
#> 290   -966.1991478 -5268.0915629   2 105 -1.7521863 -100.392881  5355.96205
#> 291   -951.1552001 -5213.9333512   2 106 -1.7512378 -100.338535  5299.98087
#> 292   -947.1434807 -5160.7780693   2 107 -1.7523037 -100.399608  5246.97161
#> 293   -940.1229718 -5115.6462262   2 108 -1.7525424 -100.413285  5201.31402
#> 294   -932.0995331 -5052.4616459   2 109 -1.7532294 -100.452642  5137.72111
#> 295   -917.0555854 -4979.2477671   2 110 -1.7529308 -100.435536  5062.99311
#> 296   -904.0174974 -4908.0397480   2 111 -1.7529459 -100.436402  4990.60135
#> 297   -889.9764795 -4829.8112200   2 112 -1.7530196 -100.440624  4911.12355
#> 298   -881.9530407 -4777.6588680   2 113 -1.7533407 -100.459024  4858.38095
#> 299   -866.9090930 -4711.4654982   2 114 -1.7527609 -100.425802  4790.55722
#> 300   -851.8651453 -4643.2662686   2 115 -1.7522410 -100.396017  4720.76221
#> 301   -835.8182678 -4566.0406704   2 116 -1.7518429 -100.373206  4641.90904
#> 302   -826.7918992 -4490.8209320   2 117 -1.7528646 -100.431742  4566.29582
#> 303   -812.7508813 -4414.5982636   2 118 -1.7528629 -100.431643  4488.79069
#> 304   -801.7186530 -4341.3843849   2 119 -1.7534079 -100.462874  4414.79005
#> 305   -788.6805650 -4276.1939448   2 120 -1.7531819 -100.449924  4348.31596
#> 306   -774.6395472 -4212.0064347   2 121 -1.7526761 -100.420945  4282.64692
#> 307   -762.6043890 -4154.8394334   2 122 -1.7523219 -100.400649  4224.24623
#> 308   -752.5750906 -4095.6665725   2 123 -1.7525183 -100.411904  4164.23510
#> 309   -741.5428623 -4021.4497639   2 124 -1.7531449 -100.447803  4089.24737
#> 310   -722.4871952 -3936.2007269   2 125 -1.7523251 -100.400833  4001.95751
#> 311   -711.4549669 -3863.9897780   2 126 -1.7528814 -100.432705  3928.94199
#> 312   -696.4110192 -3790.7758992   2 127 -1.7524824 -100.409847  3854.21461
#> 313   -687.3846505 -3737.6206174   2 128 -1.7526737 -100.420804  3800.30335
#> 314   -674.3465625 -3680.4536161   2 129 -1.7520101 -100.382784  3741.72181
#> 315   -662.3114044 -3614.2602463   2 130 -1.7520350 -100.384211  3674.44329
#> 316   -652.2821059 -3562.1078943   2 131 -1.7519067 -100.376859  3621.33740
#> 317   -641.2498776 -3486.8881558   2 132 -1.7526674 -100.420444  3545.36182
#> 318   -631.2205792 -3445.7680321   2 133 -1.7519747 -100.380757  3503.10673
#> 319   -624.2000702 -3411.6684173   2 134 -1.7517552 -100.368181  3468.30032
#> 320   -613.1678419 -3354.5014161   2 135 -1.7515900 -100.358712  3410.08131
#> 321   -607.1502628 -3304.3549238   2 136 -1.7525119 -100.411534  3359.67155
#> 322   -596.1180345 -3244.1791330   2 137 -1.7525192 -100.411955  3298.49283
#> 323   -586.0887361 -3179.9916228   2 138 -1.7530561 -100.442717  3233.55017
#> 324   -575.0565078 -3114.8011828   2 139 -1.7533612 -100.460199  3167.44004
#> 325   -562.0184198 -3057.6341816   2 140 -1.7525755 -100.415182  3108.85694
#> 326   -556.0008407 -3013.5052683   2 141 -1.7532475 -100.453683  3064.36795
#> 327   -546.9744721 -2967.3704954   2 142 -1.7530799 -100.444078  3017.36122
#> 328   -535.9422438 -2916.2210732   2 143 -1.7525479 -100.413599  2965.05977
#> 329   -528.9217348 -2861.0599317   2 144 -1.7536016 -100.473969  2909.53985
#> 330   -516.8865767 -2792.8607021   2 145 -1.7537999 -100.485331  2840.28918
#> 331   -503.8484887 -2720.6497532   2 146 -1.7539158 -100.491975  2766.91134
#> 332   -491.8133305 -2653.4534535   2 147 -1.7540649 -100.500518  2698.64699
#> 333   -473.7605933 -2582.2454344   2 148 -1.7522468 -100.396348  2625.34580
#> 334   -462.7283650 -2515.0491347   2 149 -1.7527454 -100.424912  2557.26215
#> 335   -447.6844173 -2445.8469753   2 150 -1.7518309 -100.372519  2486.48120
#> 336   -438.6580487 -2371.6301667   2 151 -1.7536900 -100.479033  2411.85624
#> 337   -423.6141010 -2305.4367968   2 152 -1.7525150 -100.411715  2344.03237
#> 338   -412.5818727 -2239.2434269   2 153 -1.7530034 -100.439694  2276.93542
#> 339   -405.5613637 -2194.1115839   2 154 -1.7535742 -100.472399  2231.27893
#> 340   -397.5379250 -2140.9563020   2 155 -1.7543878 -100.519019  2177.55144
#> 341   -385.5027668 -2079.7775814   2 156 -1.7540739 -100.501033  2115.20381
#> 342   -375.4734683 -2017.5959309   2 157 -1.7547909 -100.542115  2052.23626
#> 343   -361.4324505 -1967.4494386   2 158 -1.7524767 -100.409520  2000.37264
#> 344   -350.4002222 -1908.2765777   2 159 -1.7523947 -100.404820  1940.18036
#> 345   -336.3592043 -1834.0597690   2 160 -1.7521767 -100.392331  1864.64816
#> 346   -327.3328357 -1766.8634693   2 161 -1.7539815 -100.495738  1796.92885
#> 347   -310.2830283 -1681.6144324   2 162 -1.7532591 -100.454345  1710.00078
#> 348   -293.2332209 -1571.2921493   2 163 -1.7552932 -100.570893  1598.41945
#> 349   -282.9446115 -1520.0483286   2 164 -1.7548319 -100.544464  1546.15800
#> 350   -270.7258083 -1453.5237336   2 165 -1.7549411 -100.550719  1478.52078
#> 351   -258.5070052 -1389.7144283   2 166 -1.7547088 -100.537410  1413.55299
#> 352   -247.6458468 -1334.0509917   2 167 -1.7543415 -100.516364  1356.84211
#> 353   -234.0693989 -1270.2416863   2 168 -1.7530237 -100.440857  1291.62782
#> 354   -225.9235301 -1213.2206050   2 169 -1.7549055 -100.548681  1234.07685
#> 355   -213.7047269 -1152.1265892   2 170 -1.7541991 -100.508206  1171.77873
#> 356   -200.1282790 -1095.1055078   2 171 -1.7515497 -100.356405  1113.24184
#> 357   -194.6976998 -1044.8726504   2 172 -1.7550199 -100.555231  1062.85749
#> 358   -182.4788967  -985.1362795   2 173 -1.7539525 -100.494078  1001.89422
#> 359   -175.6906727  -943.0492908   2 174 -1.7549854 -100.553256   959.27534
#> 360   -163.4718695  -899.6046574   2 175 -1.7505502 -100.299137   914.33669
#> 361   -156.6836456  -864.3058927   2 176 -1.7501314 -100.275141   878.39310
#> 362   -144.4648424  -801.8542322   2 177 -1.7490476 -100.213046   814.76395
#> 363   -130.8883945  -720.3955445   2 178 -1.7505254 -100.297716   732.18953
#> 364   -121.3848809  -655.2285943   2 179 -1.7539754 -100.495387   666.37737
#> 365   -101.0202090  -562.9087483   2 180 -1.7483672 -100.174062   571.90151
#> 366    -87.4437610  -467.8736127   2 181 -1.7555608 -100.586227   475.97492
#> 367    -72.5096683  -389.1302146   2 182 -1.7550213 -100.555314   395.82822
#> 368    -57.5755756  -309.0291717   2 183 -1.7549955 -100.553838   314.34690
#> 369    -30.4226797  -167.8341130   2 184 -1.7501156 -100.274238   170.56913
#> 370    -20.9191661   -83.6601358   2 185 -1.8158215 -104.038907    86.23590
#> 1483  5451.5382146 -8002.1516905   3   0 -0.9727592  -55.734998  9682.64946
#> 371   5446.9952446 -7991.2622425   3   1 -0.9725135  -55.720919  9671.09246
#> 372   5439.2167884 -7982.1507489   3   2 -0.9726476  -55.728604  9659.18267
#> 373   5432.1069723 -7974.2925311   3   3 -0.9727979  -55.737216  9648.68527
#> 374   5428.7391647 -7966.8085142   3   4 -0.9726496  -55.728717  9640.60407
#> 375   5424.6229554 -7959.3244972   3   5 -0.9725652  -55.723882  9632.10157
#> 376   5419.3841435 -7950.7178778   3   6 -0.9725114  -55.720797  9622.03925
#> 377   5414.5195325 -7943.9822625   3   7 -0.9725349  -55.722144  9613.73372
#> 378   5410.0291224 -7936.8724464   3   8 -0.9725043  -55.720392  9605.32974
#> 379   5402.1709046 -7925.6464211   3   9 -0.9725221  -55.721409  9591.62769
#> 380   5393.5642851 -7914.0461948   3  10 -0.9725824  -55.724869  9577.19494
#> 381   5390.1964775 -7905.0653745   3  11 -0.9723447  -55.711247  9567.87733
#> 382   5384.2092640 -7895.7103533   3  12 -0.9723108  -55.709307  9556.77516
#> 383   5374.4800420 -7886.3553322   3  13 -0.9726008  -55.725923  9543.56517
#> 384   5365.1250208 -7872.8841017   3  14 -0.9726160  -55.726790  9527.16488
#> 385   5356.1442005 -7857.5418670   3  15 -0.9724878  -55.719449  9509.42926
#> 386   5345.7250784 -7844.4610613   3  16 -0.9726186  -55.726942  9492.75229
#> 387   5337.5378960 -7834.4545050   3  17 -0.9727379  -55.733775  9479.87279
#> 388   5322.5280615 -7812.6220186   3  18 -0.9727497  -55.734454  9453.37864
#> 389   5311.1569749 -7800.7960884   3  19 -0.9730400  -55.751084  9437.20340
#> 390   5301.1504186 -7782.1475062   3  20 -0.9728038  -55.737553  9416.15716
#> 391   5282.5018364 -7752.1278373   3  21 -0.9726452  -55.728463  9380.84813
#> 392   5252.0273240 -7703.9144298   3  22 -0.9724343  -55.716381  9323.84516
#> 393   5234.7432723 -7680.7174129   3  23 -0.9725649  -55.723867  9294.94256
#> 394   5219.2785944 -7662.9785177   3  24 -0.9728657  -55.741100  9271.57531
#> 395   5208.3623511 -7646.1493094   3  25 -0.9728169  -55.738305  9251.52083
#> 396   5198.8106383 -7632.9588488   3  26 -0.9728677  -55.741211  9235.24189
#> 397   5188.3492386 -7614.7651101   3  27 -0.9726945  -55.731290  9214.31579
#> 398   5179.2523692 -7605.6682407   3  28 -0.9729548  -55.746206  9201.67618
#> 399   5174.7039345 -7595.2068410   3  29 -0.9727232  -55.732934  9190.46940
#> 400   5167.4264391 -7584.7454412   3  30 -0.9727367  -55.733708  9177.72627
#> 401   5160.6037870 -7572.4646676   3  31 -0.9725975  -55.725729  9163.73573
#> 402   5154.2359785 -7558.3645201   3  32 -0.9723047  -55.708954  9148.49839
#> 403   5144.2294222 -7544.2643726   3  33 -0.9723401  -55.710983  9131.21138
#> 404   5131.9486486 -7529.7093816   3  34 -0.9725537  -55.723223  9112.26757
#> 405   5121.9420923 -7516.9737645   3  35 -0.9726742  -55.730127  9096.10825
#> 406   5117.3936576 -7506.5123648   3  36 -0.9724395  -55.716682  9084.90208
#> 407   5110.1161621 -7496.0509650   3  37 -0.9724528  -55.717442  9072.15891
#> 408   5104.2031970 -7485.1347218   3  38 -0.9723134  -55.709454  9059.80861
#> 409   5095.5611712 -7474.6733220   3  39 -0.9724511  -55.717346  9046.29675
#> 410   5088.2836757 -7464.2119223   3  40 -0.9724645  -55.718110  9033.55359
#> 411   5082.3707106 -7455.5698964   3  41 -0.9724665  -55.718225  9023.08232
#> 412   5076.4577455 -7446.9278705   3  42 -0.9724685  -55.718339  9012.61105
#> 413   5069.6350935 -7438.7406881   3  43 -0.9725824  -55.724869  9002.00328
#> 414   5065.9963457 -7431.0083491   3  44 -0.9724326  -55.716283  8993.56459
#> 415   5055.5349460 -7417.3630451   3  45 -0.9725393  -55.722394  8976.39728
#> 416   5046.4380766 -7402.3532107   3  46 -0.9724347  -55.716404  8958.87104
#> 417   5032.7927726 -7386.4336893   3  47 -0.9726928  -55.731194  8938.03142
#> 418   5020.0571555 -7369.6044810   3  48 -0.9728104  -55.737932  8916.95262
#> 419   5006.4118515 -7356.8688639   3  49 -0.9732720  -55.764380  8898.74593
#> 420   4994.5859213 -7338.6751252   3  50 -0.9732203  -55.761418  8877.05138
#> 421   4980.9406173 -7318.6620126   3  51 -0.9732226  -55.761550  8852.82910
#> 422   4968.2050002 -7301.3779608   3  52 -0.9733137  -55.766765  8831.37481
#> 423   4958.1984439 -7287.7326568   3  53 -0.9733814  -55.770644  8814.46420
#> 424   4946.3725137 -7272.2679789   3  54 -0.9735040  -55.777670  8795.02601
#> 425   4940.0047052 -7259.5323618   3  55 -0.9732879  -55.765290  8780.91434
#> 426   4922.7206534 -7234.0611276   3  56 -0.9732833  -55.765026  8750.13251
#> 427   4902.7075408 -7196.7639633   3  57 -0.9727737  -55.735830  8708.03955
#> 428   4879.0556805 -7161.2861728   3  58 -0.9727244  -55.733005  8665.40270
#> 429   4855.4038202 -7123.9890084   3  59 -0.9725558  -55.723344  8621.26242
#> 430   4813.5582212 -7063.9496707   3  60 -0.9726453  -55.728469  8548.08328
#> 431   4774.7042111 -6996.2554006   3  61 -0.9719355  -55.687805  8470.26505
#> 432   4734.9895612 -6943.3025340   3  62 -0.9722870  -55.707943  8404.14042
#> 433   4682.0366947 -6863.8732342   3  63 -0.9721663  -55.701026  8308.68361
#> 434   4646.1043924 -6810.9203677   3  64 -0.9721474  -55.699945  8244.69055
#> 435   4610.1720901 -6757.9675012   3  65 -0.9721283  -55.698847  8180.69749
#> 436   4572.3486140 -6703.1234609   3  66 -0.9721700  -55.701238  8114.07641
#> 437   4542.0898331 -6657.7352895   3  67 -0.9720981  -55.697118  8059.52972
#> 438   4509.9398785 -6599.1089016   3  68 -0.9712872  -55.650655  7992.98417
#> 439   4479.6810976 -6557.5030779   3  69 -0.9714768  -55.661523  7941.56089
#> 440   4456.9870119 -6527.2442970   3  70 -0.9716882  -55.673633  7903.77450
#> 441   4419.1635358 -6481.8561257   3  71 -0.9724073  -55.714836  7844.96432
#> 442   4383.2312336 -6425.1209116   3  72 -0.9721154  -55.698108  7777.84641
#> 443   4347.2989313 -6366.4945236   3  73 -0.9716800  -55.673164  7709.16730
#> 444   4307.5842814 -6321.1063523   3  74 -0.9726216  -55.727115  7649.29198
#> 445   4279.2166743 -6277.6093548   3  75 -0.9724831  -55.719177  7597.37287
#> 446   4237.6108506 -6213.3094455   3  76 -0.9722386  -55.705170  7520.80847
#> 447   4199.7873745 -6164.1389266   3  77 -0.9727136  -55.732383  7458.87543
#> 448   4165.7462460 -6109.2948862   3  78 -0.9723419  -55.711088  7394.38475
#> 449   4118.4669009 -6050.6684983   3  79 -0.9731664  -55.758325  7319.31410
#> 450   4078.7522510 -5990.1509365   3  80 -0.9729978  -55.748669  7246.93923
#> 451   4039.0376011 -5933.4157224   3  81 -0.9731226  -55.755815  7177.69092
#> 452   3999.3229512 -5876.6805083   3  82 -0.9732497  -55.763101  7108.44272
#> 453   3952.0436061 -5801.0335561   3  83 -0.9727549  -55.734748  7019.30474
#> 454   3910.4377824 -5746.1895158   3  84 -0.9732593  -55.763651  6950.55520
#> 455   3855.5937421 -5666.7602160   3  85 -0.9733546  -55.769112  6854.03344
#> 456   3808.3143970 -5587.3309162   3  86 -0.9725277  -55.721730  6761.76939
#> 457   3766.7085733 -5523.0310068   3  87 -0.9722531  -55.706002  6685.20493
#> 458   3728.8850972 -5464.4046189   3  88 -0.9719834  -55.690549  6615.45931
#> 459   3681.6057521 -5396.3223619   3  89 -0.9720872  -55.696492  6532.57346
#> 460   3624.8705379 -5328.2401050   3  90 -0.9734057  -55.772040  6444.36413
#> 461   3588.9382357 -5267.7225432   3  91 -0.9727262  -55.733107  6374.11786
#> 462   3547.3324120 -5203.4226339   3  92 -0.9724372  -55.716549  6297.55304
#> 463   3517.0736311 -5165.5991578   3  93 -0.9730287  -55.750437  6249.25768
#> 464   3471.6854598 -5095.6257270   3  94 -0.9727265  -55.733122  6165.87394
#> 465   3437.6443313 -5042.6728605   3  95 -0.9724508  -55.717325  6102.94586
#> 466   3394.1473338 -4982.1552987   3  96 -0.9727580  -55.734928  6028.44155
#> 467   3354.4326839 -4931.0936060   3  97 -0.9734409  -55.774057  5963.88320
#> 468   3314.7180340 -4874.3583919   3  98 -0.9735980  -55.783057  5894.63530
#> 469   3282.5680793 -4825.1878729   3  99 -0.9734156  -55.772604  5835.89678
#> 470   3250.4181246 -4785.4732231   3 100 -0.9741491  -55.814631  5784.97813
#> 471   3222.0505176 -4724.9556613   3 101 -0.9723067  -55.709068  5718.98728
#> 472   3176.6623463 -4662.5469258   3 102 -0.9727211  -55.732815  5641.85497
#> 473   3140.7300440 -4603.9205378   3 103 -0.9721264  -55.698740  5573.17410
#> 474   3095.3418727 -4541.5118023   3 104 -0.9725493  -55.722972  5496.04137
#> 475   3059.4095704 -4488.5589357   3 105 -0.9725252  -55.721590  5432.04825
#> 476   3027.2596157 -4435.6060692   3 106 -0.9719185  -55.686829  5370.18640
#> 477   2993.2184872 -4395.8914193   3 107 -0.9729958  -55.748552  5318.19690
#> 478   2968.6332278 -4348.6120742   3 108 -0.9718015  -55.680123  5265.28349
#> 479   2936.4832731 -4301.3327291   3 109 -0.9717815  -55.678979  5208.10880
#> 480   2906.2244922 -4255.9445578   3 110 -0.9716649  -55.672301  5153.56235
#> 481   2870.2921899 -4208.6652127   3 111 -0.9722562  -55.706175  5094.25560
#> 482   2834.3598876 -4148.1476509   3 112 -0.9713780  -55.655858  5024.01482
#> 483   2796.5364115 -4104.6506534   3 113 -0.9727249  -55.733034  4966.76684
#> 484   2760.6041093 -4055.4801345   3 114 -0.9731346  -55.756507  4905.89993
#> 485   2728.4541546 -4008.2007894   3 115 -0.9731289  -55.756179  4848.72516
#> 486   2694.4130261 -3957.1390967   3 116 -0.9730050  -55.749081  4787.35954
#> 487   2658.4807238 -3902.2950563   3 117 -0.9727580  -55.734929  4721.80331
#> 488   2626.3307691 -3847.4510160   3 118 -0.9718332  -55.681938  4658.37876
#> 489   2586.6161192 -3798.2804971   3 119 -0.9729385  -55.745270  4595.38004
#> 490   2548.7926432 -3751.0011520   3 120 -0.9739640  -55.804024  4535.01418
#> 491   2505.2956456 -3699.9394592   3 121 -0.9755930  -55.897364  4468.33954
#> 492   2476.9280386 -3654.5512879   3 122 -0.9751494  -55.871943  4414.85194
#> 493   2450.4516053 -3609.1631166   3 123 -0.9743361  -55.825344  4362.42725
#> 494   2429.6486935 -3578.9043358   3 124 -0.9743855  -55.828178  4325.70792
#> 495   2406.9546078 -3546.7543811   3 125 -0.9745531  -55.837779  4286.36176
#> 496   2388.0428698 -3512.7132526   3 126 -0.9737369  -55.791014  4247.57615
#> 497   2357.7840889 -3463.5427337   3 127 -0.9731115  -55.755179  4189.90144
#> 498   2323.7429604 -3421.9369100   3 128 -0.9742542  -55.820656  4136.35511
#> 499   2291.5930057 -3374.6575649   3 129 -0.9742631  -55.821165  4079.18033
#> 500   2268.8989201 -3334.9429150   3 130 -0.9733864  -55.770934  4033.57739
#> 501   2240.5313130 -3297.1194389   3 131 -0.9739329  -55.802244  3986.34885
#> 502   2200.0181365 -3242.7404955   3 132 -0.9746844  -55.845301  3918.60252
#> 503   2166.3412237 -3195.5928176   3 133 -0.9750466  -55.866055  3860.67970
#> 504   2135.3584640 -3153.8334458   3 134 -0.9756276  -55.899344  3808.72960
#> 505   2103.0286278 -3097.2562324   3 135 -0.9743056  -55.823601  3743.75822
#> 506   2070.6987915 -3048.7614780   3 136 -0.9741714  -55.815910  3685.47691
#> 507   2034.3277257 -2996.2254941   3 137 -0.9743288  -55.824927  3621.58204
#> 508   1995.2625069 -2935.6070512   3 138 -0.9738411  -55.796983  3549.48746
#> 509   1949.4619056 -2868.2532257   3 139 -0.9738463  -55.797280  3468.03666
#> 510   1907.7025338 -2806.2877062   3 140 -0.9737593  -55.792300  3393.31396
#> 511   1871.3314680 -2748.3634162   3 141 -0.9730118  -55.749467  3324.96360
#> 512   1836.3074787 -2713.3394270   3 142 -0.9758315  -55.911026  3276.31439
#> 513   1810.7130251 -2672.9271317   3 143 -0.9753812  -55.885227  3228.50137
#> 514   1783.7714948 -2629.8206833   3 144 -0.9747924  -55.851491  3177.70319
#> 515   1743.3591995 -2575.9376229   3 145 -0.9758205  -55.910398  3110.42697
#> 516   1717.7647458 -2527.4428686   3 146 -0.9738622  -55.798196  3055.92591
#> 517   1688.1290626 -2485.6834968   3 147 -0.9742074  -55.817974  3004.72997
#> 518   1649.0638438 -2427.7592068   3 148 -0.9741303  -55.813557  2934.86394
#> 519   1619.4281606 -2384.6527585   3 149 -0.9742323  -55.819402  2882.55379
#> 520   1591.1395539 -2350.9758457   3 150 -0.9758114  -55.909873  2838.80477
#> 521   1561.5038707 -2315.9518565   3 151 -0.9775700  -56.010635  2793.19304
#> 522   1535.9094170 -2263.4158726   3 152 -0.9745911  -55.839958  2735.33712
#> 523   1507.6208103 -2229.7389598   3 153 -0.9762623  -55.935711  2691.58993
#> 524   1477.9851270 -2185.2854350   3 154 -0.9761301  -55.928133  2638.16460
#> 525   1449.6965203 -2144.8731397   3 155 -0.9764361  -55.945665  2588.84159
#> 526   1410.6313015 -2085.6017732   3 156 -0.9761084  -55.926894  2517.85929
#> 527   1382.3426948 -2045.1894779   3 157 -0.9764289  -55.945256  2468.53627
#> 528   1345.9716290 -1991.3064175   3 158 -0.9764122  -55.944299  2403.52676
#> 529   1317.6830223 -1948.1999692   3 159 -0.9761135  -55.927182  2351.97187
#> 530   1286.7002626 -1898.3581383   3 160 -0.9751281  -55.870723  2293.32972
#> 531   1246.2879673 -1839.0867719   3 161 -0.9752169  -55.875812  2221.59264
#> 532   1162.7692237 -1723.2381920   3 162 -0.9772127  -55.990166  2078.84154
#> 533   1069.8209444 -1580.4480819   3 163 -0.9757357  -55.905540  1908.48972
#> 534   1028.0615726 -1521.1767155   3 164 -0.9764746  -55.947871  1835.99815
#> 535    974.1785122 -1440.3521249   3 165 -0.9761215  -55.927645  1738.86113
#> 536    908.1717632 -1342.0155396   3 166 -0.9758644  -55.912914  1620.42638
#> 537    858.3299324 -1274.6617141   3 167 -0.9781614  -56.044519  1536.71492
#> 538    808.4881015 -1192.4900470   3 168 -0.9750001  -55.863393  1440.72396
#> 539    769.4228827 -1143.9952926   3 169 -0.9787143  -56.076201  1378.67212
#> 540    722.2752048 -1073.9473141   3 170 -0.9787369  -56.077492  1294.23503
#> 541    691.2924451 -1022.7584067   3 171 -0.9764219  -55.944853  1234.47155
#> 542    642.7976907  -950.0162752   3 172 -0.9759362  -55.917028  1147.04830
#> 543    601.0383189  -886.7036792   3 173 -0.9751020  -55.869227  1071.20982
#> 544    561.9731001  -834.1676953   3 174 -0.9779450  -56.032119  1005.80789
#> 545    529.6432639  -791.0612470   3 175 -0.9808105  -56.196303   951.99784
#> 546    509.4371162  -758.7314107   3 176 -0.9795014  -56.121295   913.89251
#> 547    474.4131269  -708.8895798   3 177 -0.9810183  -56.208210   852.99018
#> 548    440.7362142  -652.3123664   3 178 -0.9765988  -55.954990   787.24827
#> 549    400.3239189  -598.4293060   3 179 -0.9812093  -56.219150   719.98394
#> 550    358.5645471  -529.7284040   3 180 -0.9757537  -55.906567   639.67235
#> 551    299.2931806  -447.5567369   3 181 -0.9813688  -56.228293   538.40825
#> 552    254.8396558  -380.2029113   3 182 -0.9803013  -56.167130   457.70897
#> 553    199.6095189  -291.2958617   3 183 -0.9700407  -55.579238   353.12496
#> 554    103.9670866  -157.9352872   3 184 -0.9886160  -56.643524   189.08387
#> 555     51.4311028   -74.4165435   3 185 -0.9660519  -55.350696    90.45983
#> 1484 10614.8655106 -1787.9535943   4   0 -0.1668723   -9.561077 10764.39259
#> 556  10584.2864824 -1779.8795519   4   1 -0.1666037   -9.545688 10732.89763
#> 557  10538.1010020 -1774.7478319   4   2 -0.1668468   -9.559619 10686.50095
#> 558  10493.1984517 -1768.3331818   4   3 -0.1669532   -9.565712 10641.15670
#> 559  10459.8422714 -1761.9185318   4   4 -0.1668794   -9.561486 10607.19837
#> 560  10429.0519512 -1758.0697418   4   5 -0.1670041   -9.568632 10576.19657
#> 561  10370.0371707 -1745.2404417   4   6 -0.1667340   -9.553154 10515.87063
#> 562  10325.1346204 -1736.2599316   4   7 -0.1665999   -9.545472 10470.10045
#> 563  10259.7051899 -1728.5623515   4   8 -0.1669132   -9.563420 10404.30096
#> 564  10209.6709195 -1722.1477015   4   9 -0.1671051   -9.574416 10353.89651
#> 565  10175.0318093 -1717.0159814   4  10 -0.1671730   -9.578310 10318.88638
#> 566  10137.8268390 -1710.6013314   4  11 -0.1671600   -9.577560 10281.13272
#> 567  10108.3194488 -1704.1866814   4  12 -0.1670219   -9.569648 10250.96943
#> 568  10054.4363884 -1699.0549613   4  13 -0.1674041   -9.591548 10196.98381
#> 569  10019.7972781 -1692.6403113   4  14 -0.1673496   -9.588428 10161.76012
#> 570   9982.5923078 -1687.5085912   4  15 -0.1674620   -9.594863 10124.22019
#> 571   9958.2166376 -1683.6598012   4  16 -0.1674885   -9.596384 10099.54400
#> 572   9935.1238975 -1683.6598012   4  17 -0.1678705   -9.618273 10076.77514
#> 573   9914.5970173 -1677.2451511   4  18 -0.1675827   -9.601779 10055.46544
#> 574   9897.9189272 -1677.2451511   4  19 -0.1678598   -9.617656 10039.02139
#> 575   9877.3920470 -1673.3963611   4  20 -0.1678233   -9.615567 10018.14000
#> 576   9856.8651669 -1666.9817111   4  21 -0.1675336   -9.598970  9996.83044
#> 577   9835.0553567 -1663.1329210   4  22 -0.1675178   -9.598062  9974.68420
#> 578   9813.2455465 -1661.8499910   4  23 -0.1677561   -9.611714  9952.96607
#> 579   9790.2568950 -1660.9452176   4  24 -0.1680528   -9.628714  9930.14950
#> 580   9766.8117817 -1655.7351925   4  25 -0.1679301   -9.621686  9906.16330
#> 581   9740.7616558 -1653.1301799   4  26 -0.1681108   -9.632041  9880.04438
#> 582   9717.3165426 -1650.5251673   4  27 -0.1682483   -9.639915  9856.49401
#> 583   9696.4764418 -1645.3151421   4  28 -0.1680808   -9.630322  9835.07587
#> 584   9683.4513789 -1640.9734545   4  29 -0.1678669   -9.618063  9821.50826
#> 585   9662.6112782 -1640.1051169   4  30 -0.1681348   -9.633413  9800.81637
#> 586   9636.5611523 -1636.6317668   4  31 -0.1682304   -9.638894  9774.55239
#> 587   9605.3010013 -1631.4217417   4  32 -0.1682405   -9.639468  9742.86119
#> 588   9571.4358376 -1625.3433789   4  33 -0.1682073   -9.637568  9708.45637
#> 589   9540.1756866 -1621.0016913   4  34 -0.1683058   -9.643211  9676.91059
#> 590   9512.3888856 -1616.6600037   4  35 -0.1683446   -9.645434  9648.78914
#> 591   9487.2070973 -1613.1866535   4  36 -0.1684272   -9.650167  9623.38141
#> 592   9456.8152838 -1605.3716158   4  37 -0.1681551   -9.634578  9592.10995
#> 593   9431.6334954 -1601.0299281   4  38 -0.1681482   -9.634183  9566.55671
#> 594   9408.1883821 -1599.2932531   4  39 -0.1683800   -9.647461  9543.15187
#> 595   9380.4015812 -1595.8199030   4  40 -0.1685095   -9.654882  9515.17604
#> 596   9351.7464427 -1591.4782153   4  41 -0.1685649   -9.658057  9486.19863
#> 597   9331.7746795 -1588.8732027   4  42 -0.1686476   -9.662793  9466.07293
#> 598   9304.8562161 -1590.6098778   4  43 -0.1693076   -9.700608  9439.82992
#> 599   9281.4111028 -1579.3214899   4  44 -0.1685453   -9.656934  9414.82068
#> 600   9254.4926394 -1573.2431272   4  45 -0.1683880   -9.647921  9387.26414
#> 601   9229.3108511 -1569.7697771   4  46 -0.1684730   -9.652793  9361.85644
#> 602   9207.6024129 -1567.1647645   4  47 -0.1685878   -9.659369  9340.01861
#> 603   9187.6306497 -1565.4280894   4  48 -0.1687636   -9.669445  9320.03874
#> 604   9165.9222115 -1559.3497267   4  49 -0.1685113   -9.654989  9297.61806
#> 605   9144.2137732 -1557.6130517   4  50 -0.1687193   -9.666903  9275.92604
#> 606   9120.7686599 -1552.4030265   4  51 -0.1685897   -9.659477  9251.93905
#> 607   9094.7185340 -1549.7980139   4  52 -0.1687851   -9.670673  9225.82132
#> 608   9066.9317331 -1542.8513137   4  53 -0.1685480   -9.657091  9197.26270
#> 609   9043.4866198 -1541.1146386   4  54 -0.1687901   -9.670962  9173.85876
#> 610   9018.3048315 -1535.9046134   4  55 -0.1686911   -9.665289  9148.15965
#> 611   8988.7813555 -1535.0362759   4  56 -0.1691408   -9.691055  9118.91039
#> 612   8955.7845294 -1533.2996008   4  57 -0.1695637   -9.715286  9086.09290
#> 613   8916.7093405 -1526.3529006   4  58 -0.1695358   -9.713684  9046.40584
#> 614   8880.2391643 -1518.5378628   4  59 -0.1693638   -9.703829  9009.14007
#> 615   8827.2705750 -1510.7228251   4  60 -0.1695005   -9.711666  8955.61217
#> 616   8775.1703233 -1503.7761248   4  61 -0.1697186   -9.724161  8903.08693
#> 617   8731.7534468 -1494.2244120   4  62 -0.1694837   -9.710701  8858.68076
#> 618   8657.9447568 -1484.6726992   4  63 -0.1698292   -9.730495  8784.31901
#> 619   8604.9761675 -1476.8576614   4  64 -0.1699723   -9.738697  8730.79168
#> 620   8548.5342281 -1467.3059486   4  65 -0.1699877   -9.739578  8673.54738
#> 621   8492.0922887 -1456.0175607   4  66 -0.1698046   -9.729088  8616.00943
#> 622   8433.0453367 -1448.2025230   4  67 -0.1700706   -9.744327  8556.49135
#> 623   8378.3400724 -1437.7824726   4  68 -0.1699517   -9.737514  8500.81177
#> 624   8334.0548584 -1427.3624223   4  69 -0.1696229   -9.718678  8455.40264
#> 625   8282.8229442 -1419.5473845   4  70 -0.1697355   -9.725125  8403.58678
#> 626   8225.5126672 -1407.3906591   4  71 -0.1694597   -9.709326  8345.04686
#> 627   8168.2023903 -1403.0489715   4  72 -0.1701096   -9.746560  8287.82702
#> 628   8111.7604509 -1390.8922460   4  73 -0.1698148   -9.729670  8230.14209
#> 629   8062.2652117 -1389.1555710   4  74 -0.1706280   -9.776264  8181.06800
#> 630   8018.8483353 -1379.6038582   4  75 -0.1703772   -9.761893  8136.65997
#> 631   7962.4063959 -1373.5254955   4  76 -0.1708202   -9.787276  8080.00544
#> 632   7899.8860937 -1363.1054451   4  77 -0.1708650   -9.789845  8016.62377
#> 633   7832.1557665 -1352.6853948   4  78 -0.1710221   -9.798843  7948.10806
#> 634   7769.6354644 -1341.3970069   4  79 -0.1709608   -9.795331  7884.57869
#> 635   7701.9051371 -1330.1086190   4  80 -0.1710118   -9.798256  7815.91528
#> 636   7639.3848350 -1317.0835561   4  81 -0.1707286   -9.782030  7752.09067
#> 637   7571.6545077 -1305.7951682   4  82 -0.1707785   -9.784887  7683.42717
#> 638   7503.0558429 -1293.6384428   4  83 -0.1707363   -9.782467  7613.76040
#> 639   7447.4822410 -1284.9550675   4  84 -0.1708534   -9.789179  7557.51952
#> 640   7365.2657446 -1271.9107831   4  85 -0.1710038   -9.797798  7474.28234
#> 641   7285.7548684 -1256.9087310   4  86 -0.1708344   -9.788090  7393.37836
#> 642   7200.2431713 -1246.4072945   4  87 -0.1714076   -9.820934  7307.32734
#> 643   7122.2325003 -1229.9050372   4  88 -0.1709989   -9.797515  7227.64569
#> 644   7044.2218293 -1216.4031903   4  89 -0.1709947   -9.797274  7148.47522
#> 645   6960.2103374 -1204.4015486   4  90 -0.1713442   -9.817301  7063.64715
#> 646   6894.2013081 -1195.4003173   4  91 -0.1716852   -9.836835  6997.07036
#> 647   6837.1935100 -1190.8997017   4  92 -0.1724495   -9.880631  6940.13380
#> 648   6769.6842755 -1183.3986756   4  93 -0.1730599   -9.915602  6872.34004
#> 649   6699.1746305 -1166.8964183   4  94 -0.1724549   -9.880936  6800.04323
#> 650   6636.1660116 -1151.8943662   4  95 -0.1718659   -9.847189  6735.39605
#> 651   6585.1590344 -1144.3933401   4  96 -0.1720653   -9.858614  6683.85784
#> 652   6514.6493894 -1129.3912880   4  97 -0.1716557   -9.835147  6611.82133
#> 653   6438.1389236 -1120.3900567   4  98 -0.1722984   -9.871972  6534.89913
#> 654   6372.1298943 -1109.8886202   4  99 -0.1724486   -9.880574  6468.06711
#> 655   6315.1220962 -1097.8869786   4 100 -0.1721301   -9.862327  6409.84578
#> 656   6246.1126565 -1088.8857473   4 101 -0.1725956   -9.889002  6340.31509
#> 657   6166.6017802 -1075.3839004   4 102 -0.1726522   -9.892242  6259.66677
#> 658   6109.5939822 -1066.3826691   4 103 -0.1728015   -9.900799  6201.96022
#> 659   6033.0835164 -1048.3802066   4 104 -0.1720538   -9.857956  6123.49555
#> 660   5961.0736662 -1033.3781544   4 105 -0.1716485   -9.834734  6049.98096
#> 661   5884.5632004 -1021.3765127   4 106 -0.1718566   -9.846661  5972.54502
#> 662   5823.0547867 -1010.8750763   4 107 -0.1718857   -9.848327  5910.14682
#> 663   5775.0482199 -1006.3744606   4 108 -0.1725300   -9.885242  5862.07911
#> 664   5724.0412427 -1000.3736398   4 109 -0.1730196   -9.913293  5810.79991
#> 665   5667.0334446  -992.8726137   4 110 -0.1734411   -9.937446  5753.35242
#> 666   5596.5237997  -979.3707668   4 111 -0.1732420   -9.926038  5681.57071
#> 667   5521.5135391  -965.8689199   4 112 -0.1731761   -9.922259  5605.35588
#> 668   5461.5053306  -950.8668678   4 113 -0.1723756   -9.876395  5543.66199
#> 669   5389.4954804  -947.8664573   4 114 -0.1740925   -9.974768  5472.21275
#> 670   5323.4864511  -929.8639948   4 115 -0.1729274   -9.908010  5404.08688
#> 671   5248.4761905  -914.8619427   4 116 -0.1725761   -9.887882  5327.61435
#> 672   5191.4683924  -896.8594801   4 117 -0.1710679   -9.801470  5268.36796
#> 673   5131.4601839  -890.8586593   4 118 -0.1718940   -9.848799  5208.21589
#> 674   5068.4515650  -881.8574280   4 119 -0.1722650   -9.870060  5144.59656
#> 675   5008.4433565  -866.8553759   4 120 -0.1713810   -9.819405  5082.90695
#> 676   4954.4359689  -869.8557863   4 121 -0.1737997   -9.957992  5030.21718
#> 677   4906.4294021  -857.8541446   4 122 -0.1730932   -9.917509  4980.85969
#> 678   4855.4224249  -845.8525029   4 123 -0.1724769   -9.882199  4928.54881
#> 679   4807.4158581  -842.8520925   4 124 -0.1735594   -9.944219  4880.74245
#> 680   4747.4076496  -830.8504508   4 125 -0.1732567   -9.926879  4819.56345
#> 681   4693.4002620  -812.8479883   4 126 -0.1714885   -9.825567  4763.26861
#> 682   4639.3928744  -803.8467570   4 127 -0.1715622   -9.829791  4708.51737
#> 683   4582.3850763  -800.8463466   4 128 -0.1730189   -9.913251  4651.83919
#> 684   4531.3780991  -797.8459361   4 129 -0.1742850   -9.985795  4601.08092
#> 685   4480.3711219  -794.8455257   4 130 -0.1755794  -10.059958  4550.33019
#> 686   4426.3637343  -779.8434736   4 131 -0.1743918   -9.991917  4494.53577
#> 687   4363.3551154  -764.8414215   4 132 -0.1735246   -9.942225  4429.88152
#> 688   4288.3448548  -749.8393694   4 133 -0.1731052   -9.918195  4353.40794
#> 689   4216.3350046  -731.8369068   4 134 -0.1718596   -9.846829  4279.37684
#> 690   4153.3263857  -722.8356755   4 135 -0.1723119   -9.872743  4215.75752
#> 691   4090.3177668  -710.8340338   4 136 -0.1720661   -9.858661  4151.62432
#> 692   4009.3066853  -698.8323922   4 137 -0.1725689   -9.887468  4069.75513
#> 693   3931.2960143  -680.8299296   4 138 -0.1714812   -9.825149  3989.81425
#> 694   3874.2882162  -680.8299296   4 139 -0.1739542   -9.966842  3933.65461
#> 695   3808.2791869  -668.8282879   4 140 -0.1738518   -9.960977  3866.56458
#> 696   3745.2705680  -653.8262358   4 141 -0.1728321   -9.902552  3801.91273
#> 697   3682.2619491  -650.8258254   4 142 -0.1749395  -10.023294  3739.33514
#> 698   3622.2537406  -635.8237732   4 143 -0.1737624   -9.955854  3677.63430
#> 699   3565.2459426  -623.8221315   4 144 -0.1732196   -9.924750  3619.41054
#> 700   3505.2377341  -608.8200794   4 145 -0.1719730   -9.853328  3557.71745
#> 701   3451.2303464  -602.8192586   4 146 -0.1729234   -9.907784  3503.48141
#> 702   3388.2217275  -593.8180273   4 147 -0.1734974   -9.940671  3439.86429
#> 703   3319.2122878  -581.8163856   4 148 -0.1735246   -9.942227  3369.81906
#> 704   3262.2044897  -569.8147439   4 149 -0.1729271   -9.907992  3311.59584
#> 705   3202.1962812  -560.8135126   4 150 -0.1733757   -9.933696  3250.93415
#> 706   3139.1876623  -542.8110501   4 151 -0.1712214   -9.810265  3185.77197
#> 707   3070.1782226  -539.8106397   4 152 -0.1740450   -9.972041  3117.27282
#> 708   3010.1700141  -527.8089980   4 153 -0.1735774   -9.945253  3056.09323
#> 709   2947.1613952  -509.8065354   4 154 -0.1712872   -9.814033  2990.93012
#> 710   2866.1503138  -500.8053042   4 155 -0.1729846   -9.911290  2909.57447
#> 711   2791.1400532  -488.8036625   4 156 -0.1733688   -9.933299  2833.61815
#> 712   2716.1297926  -476.8020208   4 157 -0.1737741   -9.956521  2757.66227
#> 713   2653.1211736  -470.8011999   4 158 -0.1756236  -10.062494  2694.56967
#> 714   2584.1117339  -461.7999686   4 159 -0.1768407  -10.132223  2625.05098
#> 715   2506.1010629  -440.7970957   4 160 -0.1741087   -9.975693  2544.57160
#> 716   2431.0908023  -434.7962748   4 161 -0.1769771  -10.140040  2469.66603
#> 717   2290.0715123  -413.7934019   4 162 -0.1787614  -10.242272  2327.15545
#> 718   2173.0555058  -386.7897080   4 163 -0.1761487  -10.092578  2207.21012
#> 719   2113.0472973  -374.7880664   4 164 -0.1755429  -10.057866  2146.02772
#> 720   1999.0317012  -359.7860142   4 165 -0.1780737  -10.202872  2031.15084
#> 721   1897.0177468  -338.7831413   4 166 -0.1767242  -10.125549  1927.03149
#> 722   1801.0046132  -320.7806787   4 167 -0.1762637  -10.099164  1829.34903
#> 723   1695.9902484  -302.7782162   4 168 -0.1766648  -10.122145  1722.80515
#> 724   1557.9713689  -272.7741119   4 169 -0.1733261   -9.930853  1581.67016
#> 725   1479.9606978  -257.7720598   4 170 -0.1724450   -9.880371  1502.24169
#> 726   1395.9492060  -248.7708285   4 171 -0.1763577  -10.104551  1417.94256
#> 727   1287.9344307  -227.7679556   4 172 -0.1750377  -10.028920  1307.91947
#> 728   1191.9212971  -206.7650826   4 173 -0.1717628   -9.841282  1209.72236
#> 729   1098.1584714  -196.2636461   4 174 -0.1768535  -10.132960  1115.55880
#> 730   1032.1494420  -191.7630305   4 175 -0.1836955  -10.524977  1049.81214
#> 731    969.1408231  -172.2603627   4 176 -0.1759083  -10.078802   984.33103
#> 732    885.1293313  -161.7589262   4 177 -0.1807570  -10.356615   899.78880
#> 733    792.1166081  -145.2566689   4 178 -0.1813629  -10.391327   805.32492
#> 734    744.1100413  -140.7560533   4 179 -0.1869513  -10.711523   757.30576
#> 735    664.5991651  -125.7540012   4 180 -0.1870069  -10.714706   676.39199
#> 736    576.0870576  -112.2521542   4 181 -0.1924414  -11.026082   586.92150
#> 737    492.0755657   -97.2501021   4 182 -0.1951180  -11.179440   501.59341
#> 738    385.5609957   -79.2476396   4 183 -0.2027154  -11.614734   393.62097
#> 739    196.5351389   -47.7433301   4 184 -0.2383090  -13.654099   202.25105
#> 740     99.0218002   -28.2406624   4 185 -0.2778208  -15.917960   102.97015
#> 1485  7373.2582510  4980.5321166   5   0  0.5940834   34.038472  8897.78834
#> 741   7348.1810978  4964.2268821   5   1  0.5941427   34.041867  8867.88103
#> 742   7323.6458697  4951.2376436   5   2  0.5944788   34.061126  8840.27958
#> 743   7297.6673928  4932.4754103   5   3  0.5943660   34.054664  8808.24972
#> 744   7276.0186621  4918.0429232   5   4  0.5943849   34.055744  8782.23171
#> 745   7254.3699313  4906.4969334   5   5  0.5946769   34.072476  8757.83051
#> 746   7226.9482057  4883.4049540   5   6  0.5942452   34.047744  8722.18002
#> 747   7198.0832314  4867.5292181   5   7  0.5945913   34.067570  8689.37529
#> 748   7166.3317597  4838.6642438   5   8  0.5938829   34.026986  8646.90595
#> 749   7136.0235367  4821.3452592   5   9  0.5941856   34.044326  8612.09626
#> 750   7104.2720649  4801.1397772   5  10  0.5943061   34.051230  8574.47519
#> 751   7085.5924577  4794.3094598   5  11  0.5948672   34.083378  8555.17526
#> 752   7079.0801407  4786.8668119   5  12  0.5945729   34.066518  8545.61113
#> 753   7062.3341829  4778.4938330   5  13  0.5948595   34.082941  8527.04916
#> 754   7049.3095491  4767.3298611   5  14  0.5946307   34.069830  8510.00582
#> 755   7033.4939222  4758.0265512   5  15  0.5947666   34.077613  8491.69320
#> 756   7024.1906123  4751.5142343   5  16  0.5947452   34.076389  8480.33851
#> 757   7016.7479644  4746.8625793   5  17  0.5947826   34.078534  8471.56753
#> 758   7009.3053165  4741.2805934   5  18  0.5947291   34.075466  8462.27527
#> 759   7000.9323376  4734.7682765   5  19  0.5946459   34.070701  8451.69121
#> 760   6992.5593587  4728.2559595   5  20  0.5945625   34.065924  8441.10720
#> 761   6984.1863797  4723.6043046   5  21  0.5946618   34.071610  8431.56551
#> 762   6976.7437318  4718.0223186   5  22  0.5946078   34.068520  8422.27331
#> 763   6968.3707529  4711.5100017   5  23  0.5945241   34.063723  8411.68933
#> 764   6944.1821472  4699.4156988   5  24  0.5949450   34.087840  8384.87767
#> 765   6930.2271823  4689.1820579   5  25  0.5948669   34.083361  8367.58491
#> 766   6912.5508935  4679.8787480   5  26  0.5951305   34.098465  8347.73172
#> 767   6899.5262596  4669.6451072   5  27  0.5949898   34.090402  8331.20928
#> 768   6889.2926187  4664.0631212   5  28  0.5951236   34.098069  8319.60561
#> 769   6876.2679849  4654.7598113   5  29  0.5950751   34.095294  8303.60466
#> 770   6864.1736820  4644.5261704   5  30  0.5948706   34.083577  8287.85278
#> 771   6847.4277242  4635.2228605   5  31  0.5950737   34.095213  8268.77001
#> 772   6823.2391184  4620.3375647   5  32  0.5952233   34.103785  8240.39509
#> 773   6807.4234916  4610.1039238   5  33  0.5952713   34.106531  8221.56146
#> 774   6782.3045549  4595.2186279   5  34  0.5954861   34.118840  8192.41657
#> 775   6763.6979351  4583.1243251   5  35  0.5955380   34.121814  8170.22878
#> 776   6749.7429702  4571.0300222   5  36  0.5952701   34.106463  8151.89215
#> 777   6734.8576744  4556.1447264   5  37  0.5947808   34.078430  8131.22147
#> 778   6718.1117166  4545.9110855   5  38  0.5948926   34.084837  8111.61714
#> 779   6704.1567517  4533.8167826   5  39  0.5946213   34.069290  8093.28193
#> 780   6687.4107939  4522.6528107   5  40  0.5946378   34.070236  8073.15623
#> 781   6669.7345051  4513.3495008   5  41  0.5949105   34.085859  8053.30256
#> 782   6656.7098712  4503.1158599   5  42  0.5947641   34.077475  8036.78037
#> 783   6640.8942444  4494.7428810   5  43  0.5950044   34.091240  8018.98933
#> 784   6628.7999415  4485.4395711   5  44  0.5948888   34.084615  8003.75892
#> 785   6616.7056386  4477.9969232   5  45  0.5949656   34.089017  7989.57132
#> 786   6604.6113358  4468.6936133   5  46  0.5948494   34.082363  7974.34094
#> 787   6596.2383568  4460.3206344   5  47  0.5945678   34.066225  7962.71440
#> 788   6583.2137230  4453.8083174   5  48  0.5948070   34.079929  7948.27726
#> 789   6573.9104131  4444.5050075   5  49  0.5944929   34.061933  7935.35903
#> 790   6558.0947862  4434.2713666   5  50  0.5945409   34.064685  7916.52511
#> 791   6542.2791594  4424.0377257   5  51  0.5945892   34.067450  7897.69121
#> 792   6526.4635326  4413.8040849   5  52  0.5946377   34.070229  7878.85732
#> 793   6512.5085677  4403.5704440   5  53  0.5945538   34.065424  7861.56476
#> 794   6497.6232719  4397.9884580   5  54  0.5950271   34.092543  7846.10799
#> 795   6482.7379760  4386.8244861   5  55  0.5949119   34.085943  7827.52328
#> 796   6456.6887083  4369.1481973   5  56  0.5949067   34.085646  7796.04291
#> 797   6434.3607645  4352.4022395   5  57  0.5947322   34.075646  7768.16605
#> 798   6402.7295109  4334.7259507   5  58  0.5951307   34.098479  7732.06274
#> 799   6377.6105741  4317.0496619   5  59  0.5950586   34.094349  7701.35277
#> 800   6348.7703135  4294.7217181   5  60  0.5947555   34.076981  7664.95395
#> 801   6312.4874048  4274.2544363   5  61  0.5951985   34.102360  7623.43415
#> 802   6284.5774751  4249.1354996   5  62  0.5945195   34.063456  7586.24192
#> 803   6251.0855595  4230.5288798   5  63  0.5949626   34.088848  7548.07560
#> 804   6223.1756298  4212.8525910   5  64  0.5950962   34.096502  7515.05435
#> 805   6192.4747071  4188.6639852   5  65  0.5947190   34.074891  7476.07176
#> 806   6161.7737844  4167.2663725   5  66  0.5946488   34.070864  7438.65345
#> 807   6128.2818688  4144.0080977   5  67  0.5945808   34.066968  7397.88090
#> 808   6094.7899531  4124.4711469   5  68  0.5949309   34.087030  7359.19335
#> 809   6063.1586995  4101.2128722   5  69  0.5947213   34.075019  7319.96178
#> 810   6037.1094317  4081.6759214   5  70  0.5945034   34.062536  7287.43910
#> 811   6007.3388401  4063.0693016   5  71  0.5946772   34.072492  7252.35493
#> 812   5980.3592413  4041.6716888   5  72  0.5943157   34.051781  7218.01958
#> 813   5949.6583187  4023.0650690   5  73  0.5945628   34.065937  7182.16448
#> 2452 -5456.0589602  2885.2595287   5  73  2.6551577  152.129330  6171.97715
#> 814   5930.1213679  4008.1797731   5  74  0.5943689   34.054832  7157.64239
#> 815   5906.8630931  3997.9461322   5  75  0.5950063   34.091347  7132.64361
#> 816   5888.2564733  3980.2698434   5  76  0.5944140   34.057414  7107.32807
#> 817   5855.6948887  3961.6632236   5  77  0.5948129   34.080269  7069.93197
#> 818   5823.1333040  3939.3352799   5  78  0.5947777   34.078254  7030.45119
#> 819   5796.1537053  3919.7983291   5  79  0.5946256   34.069537  6997.15776
#> 820   5761.7314586  3898.4007163   5  80  0.5948496   34.082372  6956.65707
#> 821   5731.0305360  3873.2817796   5  81  0.5943292   34.052553  6917.15424
#> 822   5694.7476274  3848.1628428   5  82  0.5942572   34.048427  6873.02756
#> 823   5659.3950497  3829.5562230   5  83  0.5948977   34.085126  6833.31934
#> 824   5624.0424721  3806.2979483   5  84  0.5949786   34.089765  6791.00565
#> 825   5577.5259226  3774.6666946   5  85  0.5949603   34.088713  6734.75345
#> 826   5531.9397041  3740.2444480   5  86  0.5945174   34.063337  6677.70810
#> 827   5493.7961335  3711.4041873   5  87  0.5941362   34.041496  6629.95603
#> 828   5460.3042178  3690.9369055   5  88  0.5944076   34.057046  6590.74635
#> 829   5414.7179993  3657.4449898   5  89  0.5940681   34.037595  6534.22336
#> 830   5363.5497948  3628.6047291   5  90  0.5948003   34.079548  6475.68056
#> 831   5330.0578792  3599.7644684   5  91  0.5940042   34.033935  6431.78212
#> 832   5296.5659636  3578.3668557   5  92  0.5941626   34.043012  6392.05134
#> 833   5268.6560339  3557.8995739   5  93  0.5939526   34.030979  6357.46693
#> 834   5229.5821323  3532.7806372   5  94  0.5941191   34.040515  6311.02752
#> 835   5193.2992236  3505.8010384   5  95  0.5937925   34.021806  6265.85970
#> 836   5157.0163150  3481.6124327   5  96  0.5938331   34.024131  6222.25380
#> 837   5123.5243994  3457.4238269   5  97  0.5936216   34.012011  6180.96124
#> 838   5077.0078499  3427.6532353   5  98  0.5938407   34.024567  6125.75019
#> 839   5034.2126243  3397.8826436   5  99  0.5937209   34.017701  6073.62356
#> 840   4998.8600467  3372.7637068   5 100  0.5935481   34.007798  6030.26838
#> 841   4946.7615112  3340.2021222   5 101  0.5939077   34.028405  5968.86921
#> 842   4908.6179407  3312.2921925   5 102  0.5936062   34.011131  5921.63910
#> 843   4865.8227151  3280.6609388   5 103  0.5932173   33.988847  5868.47228
#> 844   4820.2364966  3254.6116711   5 104  0.5938853   34.027124  5816.11357
#> 845   4776.5109400  3225.7714104   5 105  0.5939836   34.032752  5763.73646
#> 846   4730.9247215  3195.0704877   5 106  0.5939960   34.033461  5708.77606
#> 847   4700.2237988  3174.6032059   5 107  0.5940349   34.035695  5671.87881
#> 848   4666.7318832  3151.3449312   5 108  0.5939411   34.030321  5631.10658
#> 849   4625.7973196  3124.3653325   5 109  0.5940395   34.035958  5582.08380
#> 850   4590.4447420  3099.2463957   5 110  0.5938538   34.025319  5538.72830
#> 851   4546.7191855  3072.2667970   5 111  0.5942377   34.047315  5487.39270
#> 852   4497.4116430  3035.9838884   5 112  0.5937850   34.021372  5426.22425
#> 853   4444.3827765  3005.2829657   5 113  0.5945723   34.066481  5365.09683
#> 854   4400.6572200  2972.7213811   5 114  0.5941052   34.039718  5310.63616
#> 855   4348.5586846  2938.2991344   5 115  0.5942269   34.046695  5248.19630
#> 856   4287.1568392  2898.2949018   5 116  0.5944647   34.060316  5174.92291
#> 857   4245.2919447  2863.8726552   5 117  0.5934746   34.003590  5120.96380
#> 858   4199.7057261  2838.7537185   5 118  0.5943959   34.056377  5069.12723
#> 859   4151.3285146  2803.4011409   5 119  0.5939572   34.031242  5009.25008
#> 860   4100.1603102  2769.9092252   5 120  0.5941351   34.041434  4948.10183
#> 861   4050.8527677  2738.2779715   5 121  0.5944196   34.057737  4889.53724
#> 862   4010.8485351  2708.5073799   5 122  0.5939525   34.030974  4839.72295
#> 863   3961.5409926  2677.8064572   5 123  0.5944025   34.056755  4781.67904
#> 864   3916.8851051  2651.7571895   5 124  0.5951269   34.098261  4730.09568
#> 865   3871.2988866  2614.5439498   5 125  0.5940011   34.033757  4671.48746
#> 866   3828.5036610  2584.7733582   5 126  0.5938454   34.024833  4619.36073
#> 867   3766.1737601  2543.7165170   5 127  0.5940322   34.035538  4544.72865
#> 868   3720.8145147  2518.9751105   5 128  0.5951194   34.097828  4493.29459
#> 869   3665.8336113  2476.3649103   5 129  0.5941107   34.040038  4423.88056
#> 870   3619.0998434  2444.7508908   5 130  0.5941024   34.039558  4367.45814
#> 871   3572.3660754  2409.0133036   5 131  0.5933007   33.993628  4308.72887
#> 872   3505.0144687  2365.0285809   5 132  0.5935818   34.009734  4228.29595
#> 873   3452.7826105  2333.4145614   5 133  0.5943038   34.051102  4167.31704
#> 874   3400.5507522  2294.9279290   5 134  0.5936600   34.014212  4102.49188
#> 875   3342.8208036  2256.4412966   5 135  0.5937573   34.019789  4033.11025
#> 876   3298.8360808  2224.8272771   5 136  0.5933566   33.996827  3978.96669
#> 877   3256.2258807  2197.3368254   5 137  0.5936198   34.011907  3928.26884
#> 878   3198.4959320  2157.4756704   5 138  0.5934255   34.000775  3858.11839
#> 879   3135.2678931  2116.2399928   5 139  0.5937352   34.018523  3782.64147
#> 880   3070.6653316  2073.6297926   5 140  0.5939579   34.031279  3705.25655
#> 881   3004.6882474  2033.7686376   5 141  0.5950299   34.092700  3628.27319
#> 882   2962.0780473  1999.4055730   5 142  0.5937503   34.019388  3573.72761
#> 883   2930.4640278  1977.4132116   5 143  0.5935973   34.010618  3535.22028
#> 884   2896.1009631  1954.0463277   5 144  0.5935547   34.008179  3493.66539
#> 885   2849.3671952  1922.4323082   5 145  0.5935349   34.007046  3437.24299
#> 886   2794.3862918  1885.3201984   5 146  0.5935307   34.006804  3370.90893
#> 887   2749.0270464  1855.0807015   5 147  0.5936216   34.012010  3316.39475
#> 888   2709.1658914  1826.2157272   5 148  0.5931227   33.983430  3267.20733
#> 889   2662.4321235  1794.6017077   5 149  0.5930940   33.981782  3210.78497
#> 890   2621.1964459  1765.7367334   5 150  0.5928132   33.965694  3160.45836
#> 891   2566.2155425  1729.9991461   5 151  0.5931615   33.985648  3094.89245
#> 892   2507.1110713  1687.3889460   5 152  0.5924027   33.942177  3022.06674
#> 893   2460.3773034  1657.1494491   5 153  0.5927423   33.961634  2966.41210
#> 894   2390.5511351  1614.0877354   5 154  0.5938835   34.027018  2884.44344
#> 895   2343.7703928  1577.3314380   5 155  0.5923668   33.940116  2825.10781
#> 896   2270.2577979  1525.5384733   5 156  0.5916631   33.899801  2735.20348
#> 897   2195.0744622  1483.7699535   5 157  0.5944050   34.056895  2649.51414
#> 898   2149.9644607  1450.3551376   5 158  0.5934713   34.003403  2593.42962
#> 899   2056.4029763  1386.8669874   5 159  0.5933470   33.996278  2480.36151
#> 900   1969.5244550  1326.7203189   5 160  0.5928042   33.965181  2374.70280
#> 901   1874.2922297  1259.8906871   5 161  0.5918205   33.908814  2258.38347
#> 902   1789.0844492  1203.0855001   5 162  0.5920018   33.919204  2155.97725
#> 903   1732.2792622  1162.9877210   5 163  0.5912467   33.875939  2086.46397
#> 904   1668.7911121  1122.8899420   5 164  0.5922892   33.935674  2011.40389
#> 905   1613.6566659  1084.4629037   5 165  0.5917224   33.903195  1944.20874
#> 906   1553.5099973  1042.6943839   5 166  0.5911249   33.868965  1870.99035
#> 907   1488.3511063  1002.5966048   5 167  0.5928073   33.965355  1794.54422
#> 908   1414.8385114   950.8036402   5 168  0.5917015   33.901998  1704.63943
#> 909   1331.3014717   892.3277124   5 169  0.5904911   33.832650  1602.68910
#> 910   1222.7033201   813.8028951   5 170  0.5872477   33.646813  1468.76770
#> 911   1144.1785027   765.3514121   5 171  0.5895535   33.778925  1376.55629
#> 912   1087.3733157   728.5951146   5 172  0.5903417   33.824085  1308.90472
#> 913   1022.2144248   688.4973355   5 173  0.5927426   33.961652  1232.45727
#> 914    952.0433114   641.7165933   5 174  0.5930908   33.981601  1148.12310
#> 915    876.8599757   593.2651103   5 175  0.5948337   34.081459  1058.70058
#> 916    810.0303439   548.1551088   5 176  0.5949230   34.086580   978.07115
#> 917    726.4933042   486.3376995   5 177  0.5899145   33.799609   874.25218
#> 918    637.9440422   427.8617717   5 178  0.5907818   33.849305   768.13950
#> 919    597.8462631   404.4714006   5 179  0.5948120   34.080219   721.81526
#> 920    526.0044090   352.6784359   5 180  0.5906419   33.841288   633.29513
#> 921    445.8088508   302.5562121   5 181  0.5962653   34.163484   538.78177
#> 922    378.9792191   255.7754699   5 182  0.5936853   34.015662   457.21586
#> 923    298.7836610   200.6410237   5 183  0.5913593   33.882391   359.90068
#> 924    155.0999527   100.3965761   5 184  0.5744765   32.915080   184.75786
#> 925     79.9166170    58.6280562   5 185  0.6329322   36.264344    99.11566
#> 1486  1496.7529757  8359.8985414   6   0  1.3936338   79.849335  8492.83069
#> 926   1493.3633287  8344.6670241   6   1  1.3937107   79.853743  8477.24022
#> 927   1490.0218471  8324.6181346   6   2  1.3936820   79.852099  8456.91623
#> 928   1485.8449951  8308.7460970   6   3  1.3938378   79.861026  8440.55668
#> 929   1483.3388839  8292.0386891   6   4  1.3937816   79.857801  8423.66903
#> 930   1480.8327727  8277.0020219   6   5  1.3937600   79.856568  8408.42602
#> 931   1474.9851800  8260.2946140   6   6  1.3940954   79.875782  8390.95039
#> 932   1471.6436984  8246.0933173   6   7  1.3941901   79.881207  8376.38288
#> 933   1468.3022168  8230.2212797   6   8  1.3942500   79.884640  8360.17067
#> 934   1467.4668464  8211.8431310   6   9  1.3939616   79.868119  8341.93182
#> 935   1464.1253648  8191.7942415   6  10  1.3939331   79.866483  8321.60778
#> 936   1462.4546240  8180.9344263   6  11  1.3939011   79.864649  8310.62342
#> 937   1460.7838832  8174.2514631   6  12  1.3939575   79.867883  8303.75075
#> 938   1459.9485128  8163.3916480   6  13  1.3938263   79.860365  8292.91341
#> 939   1459.1131424  8153.3672032   6  14  1.3937125   79.853846  8282.89852
#> 940   1457.1946318  8146.0572551   6  15  1.3937851   79.858006  8275.36495
#> 941   1456.6561445  8142.5570883   6  16  1.3937747   79.857408  8271.82465
#> 942   1456.1176573  8136.9029726   6  17  1.3937184   79.854181  8266.16408
#> 943   1455.5791701  8129.3641517   6  18  1.3936218   79.848645  8258.64833
#> 944   1452.0790033  8111.3248303   6  19  1.3936540   79.850494  8240.27451
#> 945   1449.6558109  8097.8626502   6  20  1.3936556   79.850585  8226.59598
#> 946   1448.8480801  8084.9389572   6  21  1.3934752   79.840245  8213.73232
#> 947   1446.4248876  8073.0922387   6  22  1.3935112   79.842309  8201.64394
#> 948   1442.9247208  8060.4377893   6  23  1.3936594   79.850801  8188.57064
#> 949   1438.8860667  8033.2441854   6  24  1.3935594   79.845070  8161.09094
#> 950   1434.5781691  8010.6277227   6  25  1.3935904   79.846850  8138.06924
#> 951   1430.8087586  7994.4731066   6  26  1.3936966   79.852936  8121.50318
#> 952   1426.5008610  7974.0105927   6  27  1.3937751   79.857431  8100.60181
#> 953   1424.3469122  7959.4714381   6  28  1.3937207   79.854313  8085.91057
#> 954   1423.2699378  7946.5477452   6  29  1.3935700   79.845680  8072.99934
#> 955   1420.0390145  7928.7776674   6  30  1.3935759   79.846017  8054.93799
#> 956   1415.7311169  7908.3151536   6  31  1.3936547   79.850532  8034.03654
#> 957   1411.4232192  7883.0062549   6  32  1.3936273   79.848962  8008.36457
#> 958   1406.0383472  7860.9282794   6  33  1.3938038   79.859075  7985.68327
#> 959   1401.7304495  7831.8499703   6  34  1.3936933   79.852744  7956.30079
#> 960   1395.8070902  7808.6950204   6  35  1.3939141   79.865393  7932.46465
#> 961   1393.1146542  7789.3094810   6  36  1.3938179   79.859885  7912.90785
#> 962   1388.8067566  7764.5390695   6  37  1.3938027   79.859011  7887.76592
#> 963   1385.0373461  7737.0762220   6  38  1.3936596   79.850811  7860.06851
#> 964   1379.6524741  7709.0748872   6  39  1.3937064   79.853492  7831.55646
#> 965   1375.3445764  7682.1505269   6  40  1.3936419   79.849802  7804.29429
#> 966   1369.4212171  7653.0722178   6  41  1.3937328   79.855006  7774.62725
#> 967   1366.1902939  7636.3791144   6  42  1.3937637   79.856780  7757.62605
#> 968   1364.0363451  7623.9939087   6  43  1.3937559   79.856329  7745.05509
#> 969   1359.7284474  7607.8392925   6  44  1.3939364   79.866675  7728.39441
#> 970   1356.4975242  7592.2231635   6  45  1.3939926   79.869892  7712.45344
#> 971   1354.8820626  7578.2224961   6  46  1.3938793   79.863400  7698.38695
#> 972   1350.5741649  7558.8369567   6  47  1.3939872   79.869585  7678.54587
#> 973   1348.9587033  7543.7593149   6  48  1.3938487   79.861647  7663.41922
#> 974   1345.7277801  7523.8352883   6  49  1.3938060   79.859198  7643.23758
#> 975   1341.9583696  7500.6803384   6  50  1.3937579   79.856444  7619.78069
#> 976   1337.6504720  7480.2178246   6  51  1.3938417   79.861246  7598.87936
#> 977   1332.8040871  7459.2168235   6  52  1.3939834   79.869365  7577.35326
#> 978   1329.5731639  7433.3694376   6  53  1.3938025   79.859002  7551.34068
#> 979   1325.8037534  7413.4454110   6  54  1.3938294   79.860543  7531.06423
#> 980   1322.0343430  7388.6749995   6  55  1.3937428   79.855580  7506.01712
#> 981   1315.5724965  7354.2118183   6  56  1.3937817   79.857810  7470.95459
#> 982   1309.6491372  7317.5946883   6  57  1.3936987   79.853053  7433.86662
#> 983   1300.4948547  7273.9772246   6  58  1.3938783   79.863342  7389.31875
#> 984   1295.1099827  7245.4374027   6  59  1.3939160   79.865505  7360.27669
#> 985   1281.4714443  7190.3234390   6  60  1.3944264   79.894750  7303.62377
#> 986   1274.6832203  7144.1635160   6  61  1.3942313   79.883569  7256.98902
#> 987   1266.5373515  7099.3612377   6  62  1.3942521   79.884759  7211.45248
#> 988   1258.3914828  7042.3401564   6  63  1.3939732   79.868779  7153.88734
#> 989   1246.1726796  6996.1802333   6  64  1.3945232   79.900292  7106.29891
#> 990   1239.3844557  6941.8744416   6  65  1.3941204   79.877216  7051.64481
#> 991   1225.8080077  6882.1380706   6  66  1.3945304   79.900706  6990.45275
#> 992   1219.0197837  6829.1899236   6  67  1.3941554   79.879218  6937.13516
#> 993   1206.8009806  6792.5335141   6  68  1.3949652   79.925621  6898.90427
#> 994   1204.0856910  6746.3735911   6  69  1.3941771   79.880463  6852.98322
#> 995   1194.5821774  6700.2136681   6  70  1.3943601   79.890947  6805.87171
#> 996   1186.4363087  6652.6961003   6  71  1.3943126   79.888225  6757.66206
#> 997   1179.6480847  6610.6091117   6  72  1.3942074   79.882198  6715.03704
#> 998   1172.8598607  6578.0256366   6  73  1.3943508   79.890418  6681.76784
#> 999   1170.1445711  6546.7998063   6  74  1.3939286   79.866227  6650.55081
#> 1000  1166.0716367  6519.6469104   6  75  1.3938126   79.859582  6623.10493
#> 1001  1160.6410576  6489.7787249   6  76  1.3938259   79.860339  6592.74719
#> 1002  1155.2104784  6463.9834738   6  77  1.3939484   79.867360  6566.39883
#> 1003  1144.3493200  6434.1152883   6  78  1.3947804   79.915029  6535.08798
#> 1004  1137.5610960  6397.4588789   6  79  1.3948211   79.917361  6497.80927
#> 1005  1133.4881617  6362.1601142   6  80  1.3944853   79.898125  6462.34298
#> 1006  1129.4152273  6320.0731256   6  81  1.3939601   79.868030  6420.19494
#> 1007  1118.5540689  6276.6284922   6  82  1.3944384   79.895432  6375.51790
#> 1008  1106.3352658  6225.0379900   6  83  1.3949094   79.922419  6322.58457
#> 1009  1103.6199762  6184.3086461   6  84  1.3942004   79.881801  6282.01007
#> 1010  1090.0435282  6123.2146304   6  85  1.3946237   79.906050  6219.48167
#> 1011  1080.5400147  6059.4053250   6  86  1.3943268   79.889043  6154.99469
#> 1012  1069.6788563  5996.9536644   6  87  1.3942823   79.886492  6091.60620
#> 1013  1058.8176980  5944.0055175   6  88  1.3945133   79.899729  6037.57373
#> 1014  1049.3141844  5888.3420809   6  89  1.3944455   79.895844  5981.10631
#> 1015  1038.4530260  5820.4598411   6  90  1.3942398   79.884055  5912.37156
#> 1016  1028.9495125  5763.4387598   6  91  1.3941272   79.877602  5854.56774
#> 1017  1020.8036437  5719.9941263   6  92  1.3941932   79.881385  5810.36771
#> 1018  1015.3730645  5676.5494929   6  93  1.3937967   79.858666  5766.64518
#> 1019  1003.1542614  5623.6013459   6  94  1.3942702   79.885797  5712.37346
#> 1020   992.2931030  5572.0108437   6  95  1.3945586   79.902324  5659.67759
#> 1021   982.7895895  5520.4203415   6  96  1.3946141   79.905503  5607.22000
#> 1022   974.6437207  5462.0416153   6  97  1.3942154   79.882656  5548.31767
#> 1023   962.4249175  5394.1593756   6  98  1.3942344   79.883747  5479.34459
#> 1024   950.2061144  5339.8535838   6  99  1.3946935   79.910054  5423.73745
#> 1025   947.4908248  5301.8395296   6 100  1.3939534   79.867644  5385.83710
#> 1026   931.1990873  5247.5337378   6 101  1.3951700   79.937352  5329.51612
#> 1027   920.3379289  5187.7973668   6 102  1.3952187   79.940143  5268.80095
#> 1028   905.4038362  5130.7762854   6 103  1.3961293   79.992316  5210.05004
#> 1029   894.5426778  5071.0399145   6 104  1.3961904   79.995819  5149.33514
#> 1030   878.2509403  5005.8729643   6 105  1.3971198   80.049067  5082.33104
#> 1031   872.8203611  4942.0636590   6 106  1.3959884   79.984246  5018.54646
#> 1032   861.9592027  4887.7578672   6 107  1.3962405   79.998686  4963.17949
#> 1033   852.4556892  4837.5250098   6 108  1.3963698   80.006094  4912.05954
#> 1034   842.9521756  4796.7956659   6 109  1.3968402   80.033046  4870.29948
#> 1035   832.0910172  4738.4169398   6 110  1.3969634   80.040109  4810.92201
#> 1036   825.3027933  4673.2499896   6 111  1.3959972   79.984748  4745.56532
#> 1037   815.7992797  4627.0900666   6 112  1.3962805   80.000979  4698.45623
#> 1038   806.2957661  4576.8572092   6 113  1.3964176   80.008835  4647.33631
#> 1039   795.4346078  4514.4055486   6 114  1.3963873   80.007101  4583.94739
#> 1040   781.8581598  4454.6691777   6 115  1.3970517   80.045165  4522.76239
#> 1041   769.6393567  4394.9328067   6 116  1.3974345   80.067100  4461.81343
#> 1042   761.4934879  4332.4811461   6 117  1.3968096   80.031296  4398.89364
#> 1043   750.6323296  4265.9565512   6 118  1.3966206   80.020464  4331.49330
#> 1044   738.4135264  4202.1472459   6 119  1.3968493   80.033571  4266.53208
#> 1045   728.9100128  4134.2650061   6 120  1.3962804   80.000974  4198.03013
#> 1046   715.3335649  4071.8133456   6 121  1.3968916   80.035991  4134.17054
#> 1047   703.1147617  4008.0040402   6 122  1.3971357   80.049981  4069.20960
#> 1048   697.6841826  3941.4794453   6 123  1.3956003   79.962009  4002.75198
#> 1049   688.1806690  3893.9618775   6 124  1.3958724   79.977595  3954.30547
#> 1050   681.3924450  3839.6560857   6 125  1.3951630   79.936950  3899.64800
#> 1051   666.4583523  3774.4891355   6 126  1.3960285   79.986543  3832.87555
#> 1052   651.5242595  3702.5339614   6 127  1.3966124   80.019998  3759.42038
#> 1053   648.8089700  3641.4399456   6 128  1.3944729   79.897412  3698.78871
#> 1054   637.9478116  3593.9223778   6 129  1.3951188   79.934420  3650.10349
#> 1055   629.8019428  3551.8353892   6 130  1.3953031   79.944978  3607.24065
#> 1056   618.9407845  3512.4636901   6 131  1.3963742   80.006349  3566.57944
#> 1057   609.4372709  3459.5155432   6 132  1.3964228   80.009134  3512.78544
#> 1058   604.0066917  3420.1438441   6 133  1.3959960   79.984679  3473.06896
#> 1059   592.2731862  3370.1887869   6 134  1.3968338   80.032683  3421.83576
#> 1060   587.5582555  3310.4663318   6 135  1.3951405   79.935662  3362.20345
#> 1061   573.4134635  3264.8886687   6 136  1.3969391   80.038716  3314.86063
#> 1062   563.9836022  3216.1677185   6 137  1.3972025   80.053804  3265.24307
#> 1063   556.1253844  3151.7303327   6 138  1.3961433   79.993119  3200.41865
#> 1064   549.8388102  3101.4377389   6 139  1.3953343   79.946766  3149.79980
#> 1065   538.8373053  3052.7167887   6 140  1.3960852   79.989789  3099.90733
#> 1066   529.4074440  3003.9958385   6 141  1.3963532   80.005144  3050.28904
#> 1067   516.8342955  2952.1316012   6 142  1.3974812   80.069776  2997.03164
#> 1068   508.9760778  2908.1255816   6 143  1.3975326   80.072720  2952.32977
#> 1069   499.5462164  2853.1180572   6 144  1.3974655   80.068872  2896.52017
#> 1070   485.4014244  2788.6806714   6 145  1.3984616   80.125947  2830.61026
#> 1071   475.9715631  2739.9597212   6 146  1.3987979   80.145218  2780.99410
#> 1072   466.5417018  2681.8089096   6 147  1.3985548   80.131287  2722.08747
#> 1073   457.1118404  2645.6611078   6 148  1.3997075   80.197333  2684.86013
#> 1074   446.1103355  2584.3670092   6 149  1.3998620   80.206186  2622.58790
#> 1075   438.2521178  2532.5027719   6 150  1.3994424   80.182142  2570.14303
#> 1076   430.3939000  2471.2086732   6 151  1.3983626   80.120275  2508.40810
#> 1077   416.2491080  2392.6264954   6 152  1.3985487   80.130935  2428.56436
#> 1078   408.3908902  2320.3308919   6 153  1.3965753   80.017868  2355.99630
#> 1079   400.5326724  2274.7532288   6 154  1.3965055   80.013868  2309.74645
#> 1080   387.9595240  2221.3173479   6 155  1.3978875   80.093052  2254.94198
#> 1081   378.5296627  2158.4516057   6 156  1.3971908   80.053135  2191.39180
#> 1082   369.0998013  2100.3007941   6 157  1.3968360   80.032808  2132.48636
#> 1083   362.8132271  2053.1514874   6 158  1.3958916   79.978695  2084.96150
#> 1084   350.2400787  1996.5723194   6 159  1.3971425   80.050369  2027.05923
#> 1085   340.8102173  1932.1349337   6 160  1.3962018   79.996471  1961.96254
#> 1086   334.5236431  1894.4154883   6 161  1.3960141   79.985713  1923.72454
#> 1087   321.9504947  1829.9781026   6 162  1.3966471   80.021987  1858.08288
#> 1088   310.9489898  1756.1108555   6 163  1.3955459   79.958893  1783.42777
#> 1089   300.5684805  1706.1962420   6 164  1.3964225   80.009118  1732.46848
#> 1090   286.0134896  1647.9762781   6 165  1.3989537   80.154141  1672.61159
#> 1091   276.9166202  1577.0206971   6 166  1.3969736   80.040691  1601.14868
#> 1092   264.1810031  1507.8844900   6 167  1.3973568   80.062649  1530.85180
#> 1093   247.8066383  1446.0257784   6 168  1.4010741   80.275635  1467.10555
#> 1094   238.7097689  1385.9864407   6 169  1.4002387   80.227767  1406.39282
#> 1095   227.7935257  1311.3921120   6 170  1.3988088   80.145842  1331.02936
#> 1096   216.8772825  1234.9784094   6 171  1.3969567   80.039724  1253.87696
#> 1097   200.5029176  1167.6615762   6 172  1.4007416   80.256579  1184.75102
#> 1098   189.5866744  1085.7897520   6 173  1.3979318   80.095595  1102.21708
#> 1099   175.0316835  1022.1116665   6 174  1.4011962   80.282630  1036.99004
#> 1100   167.7541880   962.0723288   6 175  1.3981644   80.108919   976.58826
#> 1101   153.1991970   900.2136171   6 176  1.4022303   80.341879   913.15637
#> 1102   133.1860844   812.8836713   6 177  1.4083953   80.695107   823.72228
#> 1103   124.0892151   731.0118472   6 178  1.4026492   80.365880   741.46912
#> 1104   118.6310935   690.9856220   6 179  1.4007700   80.258211   701.09519
#> 1105    98.6179809   603.6556762   6 180  1.4088589   80.721671   611.65814
#> 1106    82.2436160   501.7707394   6 181  1.4083342   80.691604   508.46621
#> 1107    62.2305035   408.9826720   6 182  1.4197953   81.348278   413.69005
#> 1108    47.6755125   328.9302217   6 183  1.4268576   81.752917   332.36733
#> 1109    18.5655306   161.5478256   6 184  1.4563755   83.444168   162.61113
#> 1110     9.4686612   101.5084878   6 185  1.4777860   84.670899   101.94915
#> 1487 -4790.9979491  7015.6291651   7   0  2.1699558  124.329307  8495.45254
#> 1111 -4781.9936171  7000.5559372   7   1  2.1700813  124.336502  8477.92701
#> 1112 -4771.3021644  6989.8644845   7   2  2.1697508  124.317561  8463.06858
#> 1113 -4756.3341305  6967.4124337   7   3  2.1697858  124.319568  8436.08620
#> 1114 -4748.8501136  6952.4443998   7   4  2.1700540  124.334934  8419.50477
#> 1115 -4737.0895155  6937.4763660   7   5  2.1699029  124.326279  8400.51162
#> 1116 -4724.2597722  6921.4391868   7   6  2.1697177  124.315669  8380.03286
#> 1117 -4710.3608836  6904.3328624   7   7  2.1694981  124.303083  8358.06867
#> 1118 -4700.7385762  6886.1573927   7   8  2.1697733  124.318850  8337.63197
#> 1119 -4688.9779781  6873.3276494   7   9  2.1694752  124.301773  8320.40549
#> 1120 -4677.2173801  6857.2904703   7  10  2.1693936  124.297097  8300.52980
#> 1121 -4671.7970257  6844.3051732   7  11  2.1697362  124.316727  8286.74850
#> 1122 -4666.4782746  6838.2266005   7  12  2.1696195  124.310042  8278.72952
#> 1123 -4658.1202372  6829.8685630   7  13  2.1693543  124.294846  8267.11490
#> 1124 -4650.5220213  6816.1917745   7  14  2.1695275  124.304768  8251.53473
#> 1125 -4642.1639839  6804.7944507   7  15  2.1694691  124.301425  8237.40942
#> 1126 -4635.3255896  6797.1962348   7  16  2.1693030  124.291904  8227.27901
#> 1127 -4630.7666601  6788.8381974   7  17  2.1694176  124.298475  8217.80530
#> 1128 -4623.9282658  6780.4801599   7  18  2.1693032  124.291916  8207.04720
#> 1129 -4614.8104067  6766.0435498   7  19  2.1693765  124.296119  8189.98293
#> 1130 -4606.4523693  6750.8471180   7  20  2.1695794  124.307741  8172.71927
#> 1131 -4594.2952239  6735.6506863   7  21  2.1693982  124.297364  8153.31459
#> 1132 -4582.8979001  6720.4542545   7  22  2.1692934  124.291358  8134.33824
#> 1133 -4566.1818252  6692.3408558   7  23  2.1695438  124.305704  8101.69381
#> 1134 -4544.9068208  6664.2274571   7  24  2.1693295  124.293423  8066.48037
#> 1135 -4522.1121732  6630.7953073   7  25  2.1693300  124.293456  8026.01675
#> 1136 -4511.4746709  6614.0792324   7  26  2.1694087  124.297965  8006.21307
#> 1137 -4491.7193097  6588.2452985   7  27  2.1691876  124.285297  7973.73930
#> 1138 -4482.6014507  6573.0488667   7  28  2.1693167  124.292692  7956.04721
#> 1139 -4471.9639484  6554.0533271   7  29  2.1695579  124.306514  7934.36050
#> 1140 -4459.0469815  6535.8176090   7  30  2.1695084  124.303676  7912.01692
#> 1141 -4441.5710850  6509.2238534   7  31  2.1695784  124.307686  7880.19980
#> 1142 -4422.3276864  6476.8975103   7  32  2.1698748  124.324670  7842.65156
#> 1143 -4406.5749875  6455.8939117   7  33  2.1697257  124.316124  7816.42305
#> 1144 -4386.8841139  6421.7630641   7  34  2.1701086  124.338064  7777.13270
#> 1145 -4364.5677904  6392.8831161   7  35  2.1698326  124.322249  7740.69806
#> 1146 -4346.1896417  6367.9413428   7  36  2.1696880  124.313964  7709.73679
#> 1147 -4327.8114929  6341.6868446   7  37  2.1696386  124.311134  7677.69134
#> 1148 -4312.0587940  6314.1196215   7  38  2.1699692  124.330075  7646.04196
#> 1149 -4292.3679204  6291.8032980   7  39  2.1694866  124.302428  7616.50912
#> 1150 -4272.6770467  6262.9233500   7  40  2.1694879  124.302500  7581.55512
#> 1151 -4252.9861731  6234.0434020   7  41  2.1694892  124.302572  7546.60112
#> 1152 -4235.9207493  6210.4143536   7  42  2.1693853  124.296621  7517.46440
#> 1153 -4217.5426005  6184.1598554   7  43  2.1693333  124.293644  7485.41907
#> 1154 -4205.7280763  6157.9053572   7  44  2.1700081  124.332307  7457.07362
#> 1155 -4182.0990280  6123.7745096   7  45  2.1699727  124.330275  7415.56246
#> 1156 -4161.0954294  6094.8945616   7  46  2.1698294  124.322065  7379.86822
#> 1157 -4142.7172807  6063.3891638   7  47  2.1701815  124.342241  7343.48654
#> 1158 -4128.2773067  6034.5092157   7  48  2.1707791  124.376481  7311.49608
#> 1159 -4113.8373327  6013.5056172   7  49  2.1707710  124.376019  7286.00765
#> 1160 -4098.0846338  5993.8147435   7  50  2.1705116  124.361155  7260.86172
#> 1161 -4084.9573847  5968.8729703   7  51  2.1709597  124.386828  7232.86398
#> 1162 -4069.2046858  5945.2439219   7  52  2.1710076  124.389574  7204.46751
#> 1163 -4049.5138121  5925.5530482   7  53  2.1702932  124.348641  7177.09837
#> 1164 -4031.1356634  5903.2367248   7  54  2.1699320  124.327946  7148.30459
#> 1165 -4018.0084143  5876.9822266   7  55  2.1704889  124.359856  7119.22129
#> 1166 -4000.9429905  5852.0404533   7  56  2.1704874  124.359769  7089.00009
#> 1167 -3983.8775666  5821.8477804   7  57  2.1709060  124.383750  7054.44484
#> 1168 -3965.4994179  5795.5932822   7  58  2.1708575  124.380974  7022.39896
#> 1169 -3946.9384722  5768.5125139   7  59  2.1708538  124.380761  6989.56794
#> 1170 -3911.8347149  5715.8568780   7  60  2.1709639  124.387071  6926.28838
#> 1171 -3878.3265829  5671.1793687   7  61  2.1706118  124.366896  6870.49434
#> 1172 -3851.2009523  5636.0756114   7  62  2.1702346  124.345284  6826.20664
#> 1173 -3816.0971950  5589.8024767   7  63  2.1698095  124.320927  6768.19692
#> 1174 -3788.9715643  5551.5074688   7  64  2.1696888  124.314013  6721.27523
#> 1175 -3761.8459337  5511.6168355   7  65  2.1697012  124.314724  6673.03566
#> 1176 -3737.9115537  5471.7262021   7  66  2.1701116  124.338235  6626.59569
#> 1177 -3704.4034217  5431.8355688   7  67  2.1693257  124.293207  6574.75797
#> 1178 -3677.2777911  5391.9449355   7  68  2.1693357  124.293780  6526.51838
#> 1179 -3650.1521604  5350.4586769   7  69  2.1694847  124.302314  6476.96062
#> 1180 -3623.0265298  5310.5680436   7  70  2.1694960  124.302964  6428.72104
#> 1181 -3591.1140232  5269.0817850   7  71  2.1690284  124.276173  6376.46632
#> 1182 -3567.1796432  5229.1911517   7  72  2.1694530  124.300503  6330.02454
#> 1183 -3538.4583872  5190.8961437   7  73  2.1691115  124.280932  6282.20427
#> 1184 -3516.1196325  5157.3880117   7  74  2.1691780  124.284744  6241.93467
#> 1185 -3496.9721286  5127.0711304   7  75  2.1693805  124.296349  6206.09962
#> 1186 -3469.8464979  5087.1804971   7  76  2.1693916  124.296981  6157.86003
#> 1187 -3445.9121179  5042.5029878   7  77  2.1702761  124.347660  6107.46647
#> 1188 -3412.4039860  4994.6342278   7  78  2.1701675  124.341436  6049.03893
#> 1189 -3380.4914793  4953.1479692   7  79  2.1696761  124.313284  5996.78226
#> 1190 -3350.1745980  4908.4704599   7  80  2.1697005  124.314679  5942.78993
#> 1191 -3321.4533420  4866.9842013   7  81  2.1696436  124.311421  5892.33294
#> 1192 -3286.3495847  4819.1154413   7  82  2.1692987  124.291658  5833.00671
#> 1193 -3251.2458274  4768.0554307   7  83  2.1692580  124.289329  5771.04427
#> 1194 -3227.3114474  4724.9735467   7  84  2.1700438  124.334354  5721.96769
#> 1195 -3193.8033155  4678.7004121   7  85  2.1697666  124.318468  5664.85809
#> 1196 -3160.2951835  4624.4491508   7  86  2.1702864  124.348250  5601.16020
#> 1197 -3129.9783022  4578.1760162   7  87  2.1704808  124.359387  5545.85068
#> 1198 -3093.2789195  4538.2853829   7  88  2.1690638  124.278201  5492.21346
#> 1199 -3058.1751622  4490.4166229   7  89  2.1686871  124.256619  5432.88844
#> 1200 -3042.2189089  4455.3128656   7  90  2.1699053  124.326413  5394.89653
#> 1201 -3010.3064023  4410.6353563   7  91  2.1696879  124.313960  5340.00458
#> 1202 -2979.9895209  4370.7447230   7  92  2.1692053  124.286307  5289.96663
#> 1203 -2967.2245183  4335.6409657   7  93  2.1709617  124.386945  5253.77997
#> 1204 -2936.9076370  4298.9415830   7  94  2.1701374  124.339715  5206.37352
#> 1205 -2906.5907557  4252.6684484   7  95  2.1703451  124.351614  5151.06385
#> 1206 -2881.0607504  4214.3734404   7  96  2.1704492  124.357578  5105.04207
#> 1207 -2849.1482437  4172.8871818   7  97  2.1698690  124.324333  5052.78469
#> 1208 -2815.6401117  4123.4227965   7  98  2.1699128  124.326844  4993.03964
#> 1209 -2791.7057318  4086.7234139   7  99  2.1701006  124.337604  4949.23521
#> 1210 -2767.7713518  4054.8109072   7 100  2.1697416  124.317035  4909.38385
#> 1211 -2732.6675945  4005.3465219   7 101  2.1695133  124.303958  4848.73931
#> 1212 -2702.3507132  3957.4777620   7 102  2.1699170  124.327087  4792.11119
#> 1213 -2670.4382065  3909.6090020   7 103  2.1700521  124.334827  4734.58369
#> 1214 -2632.1431985  3853.7621154   7 104  2.1700257  124.333316  4666.86836
#> 1215 -2612.9956946  3812.2758567   7 105  2.1716673  124.427372  4621.81714
#> 1216 -2571.5094359  3767.5983474   7 106  2.1697029  124.314818  4561.51927
#> 1217 -2542.7881799  3722.9208381   7 107  2.1700276  124.333425  4508.42670
#> 1218 -2514.0669240  3687.8170808   7 108  2.1691497  124.283124  4463.24179
#> 1219 -2490.1325440  3644.7351969   7 109  2.1701672  124.341419  4414.16524
#> 1220 -2458.2200373  3600.0576876   7 110  2.1699042  124.326354  4359.27300
#> 1221 -2427.9031560  3553.7845529   7 111  2.1701498  124.340423  4303.96310
#> 1222 -2392.7993987  3497.9376663   7 112  2.1707440  124.374472  4238.04871
#> 1223 -2365.6737681  3461.2382837   7 113  2.1703462  124.351675  4192.44354
#> 1224 -2332.1656361  3419.7520250   7 114  2.1693183  124.292784  4139.28743
#> 1225 -2320.9962588  3389.4351437   7 115  2.1712301  124.402320  4107.95499
#> 1226 -2295.4662535  3352.7357611   7 116  2.1711490  124.397675  4063.25023
#> 1227 -2261.9581215  3306.4626265   7 117  2.1707727  124.376114  4006.13899
#> 1228 -2220.4718629  3256.9982412   7 118  2.1691715  124.284370  3941.89457
#> 1229 -2196.5374829  3213.9163572   7 119  2.1703254  124.350488  3892.81842
#> 1230 -2158.2424749  3169.2388479   7 120  2.1686545  124.254750  3834.32986
#> 1231 -2121.5430923  3107.0094599   7 121  2.1699021  124.326230  3762.24041
#> 1232 -2088.0349603  3047.9713226   7 122  2.1714231  124.413377  3694.59324
#> 1233 -2049.7399523  3001.6981880   7 123  2.1699261  124.327610  3634.78003
#> 1234 -2022.6143217  2958.6163040   7 124  2.1704546  124.357887  3583.90557
#> 1235 -1992.2974404  2912.3431694   7 125  2.1707627  124.375542  3528.59630
#> 1236 -1952.4068071  2848.5181561   7 126  2.1716640  124.427184  3453.39659
#> 1237 -1918.8986751  2803.8406468   7 127  2.1709635  124.387045  3397.60129
#> 1238 -1890.1774191  2765.5456389   7 128  2.1703444  124.351575  3349.77811
#> 1239 -1864.6474138  2730.4418816   7 129  2.1699605  124.329579  3306.39121
#> 1240 -1835.9261578  2688.9556229   7 130  2.1698616  124.323914  3255.93415
#> 1241 -1810.3961525  2645.8737390   7 131  2.1708624  124.381252  3205.96040
#> 1242 -1775.2923952  2601.1962297   7 132  2.1696742  124.313175  3149.26736
#> 1243 -1743.3798885  2554.9230950   7 133  2.1695857  124.308103  3093.05762
#> 1244 -1719.4455086  2513.4368364   7 134  2.1707722  124.376083  3045.30090
#> 1245 -1674.7679993  2454.3986991   7 135  2.1695807  124.307817  2971.35000
#> 1246 -1644.4511180  2411.3168151   7 136  2.1693204  124.292902  2918.67577
#> 1247 -1617.3254873  2365.0436805   7 137  2.1705982  124.366113  2865.16550
#> 1248 -1571.0523527  2302.8142925   7 138  2.1694973  124.303038  2787.67989
#> 1249 -1534.3529700  2242.1805299   7 139  2.1709162  124.384338  2716.91232
#> 1250 -1513.6098407  2210.2680233   7 140  2.1712536  124.403666  2678.86160
#> 1251 -1486.4842101  2165.5905140   7 141  2.1723435  124.466115  2626.67424
#> 1252 -1456.1673288  2130.4867567   7 142  2.1703559  124.352233  2580.58077
#> 1253 -1432.2329488  2096.9786247   7 143  2.1700204  124.333012  2539.41146
#> 1254 -1401.9160675  2052.3011154   7 144  2.1700861  124.336777  2485.41919
#> 1255 -1365.2166848  1996.4542288   7 145  2.1705810  124.365128  2418.60416
#> 1256 -1333.3041782  1946.9898435   7 146  2.1712499  124.403454  2359.76047
#> 1257 -1302.9872969  1899.1210835   7 147  2.1721325  124.454025  2303.13629
#> 1258 -1267.8835396  1857.6348249   7 148  2.1696981  124.314542  2249.07443
#> 1259 -1239.1622836  1816.1485662   7 149  2.1695456  124.305807  2198.61747
#> 1260 -1220.0147796  1782.6404343   7 150  2.1709663  124.387206  2160.14883
#> 1261 -1199.2716503  1745.9410516   7 151  2.1726702  124.484832  2118.15076
#> 1262 -1176.9328956  1710.8372943   7 152  2.1733743  124.525172  2076.56815
#> 1263 -1157.7853917  1690.0941650   7 153  2.1714126  124.412779  2048.63010
#> 1264 -1133.8510117  1661.3729090   7 154  2.1696657  124.312690  2011.41196
#> 1265 -1111.5122570  1627.8647771   7 155  2.1698877  124.325410  1971.14262
#> 1266 -1085.9822517  1587.9741438   7 156  2.1706207  124.367407  1923.80335
#> 1267 -1055.6653704  1544.8922598   7 157  2.1702440  124.345819  1871.12839
#> 1268 -1026.9441144  1506.5972518   7 158  2.1690878  124.279574  1823.30730
#> 1269 -1015.7747371  1482.6628718   7 159  2.1714532  124.415106  1797.24442
#> 1270  -996.6272331  1455.5372412   7 160  2.1711896  124.400002  1764.04493
#> 1271  -972.6928531  1425.2203599   7 161  2.1696709  124.312987  1725.50991
#> 1272  -939.1847212  1378.9472252   7 162  2.1687167  124.258317  1668.40145
#> 1273  -908.8678398  1326.2915893   7 163  2.1715678  124.421671  1607.82155
#> 1274  -883.3378345  1294.3790826   7 164  2.1696405  124.311245  1567.06826
#> 1275  -856.2122039  1246.5103227   7 165  2.1726676  124.484681  1512.24579
#> 1276  -825.8953226  1206.6196894   7 166  2.1710234  124.390481  1462.20182
#> 1277  -776.4309373  1141.1990508   7 167  2.1682220  124.229967  1380.28268
#> 1278  -754.0921826  1099.7127921   7 168  2.1718722  124.439110  1333.42538
#> 1279  -733.3490533  1067.8002855   7 169  2.1725979  124.480690  1295.37573
#> 1280  -696.6496707  1023.1227762   7 170  2.1685917  124.251154  1237.78067
#> 1281  -667.9284147   978.4452669   7 171  2.1697778  124.319110  1184.68709
#> 1282  -639.2071587   928.9808816   7 172  2.1734730  124.530831  1127.64856
#> 1283  -581.7646468   846.0083643   7 173  2.1731911  124.514680  1026.73281
#> 1284  -551.4477655   796.5439790   7 174  2.1763361  124.694874   968.80181
#> 1285  -521.1308841   755.0577204   7 175  2.1749059  124.612926   917.43641
#> 1286  -492.4096282   713.5714617   7 176  2.1748223  124.608141   866.97836
#> 1287  -439.7539922   641.7683218   7 177  2.1715354  124.419813   777.97825
#> 1288  -406.2458602   587.5170605   7 178  2.1757692  124.662394   714.29125
#> 1289  -377.5246042   547.6264272   7 179  2.1743615  124.581737   665.14625
#> 1290  -336.0383456   480.6101633   7 180  2.1809792  124.960903   586.43661
#> 1291  -275.4045830   391.2551447   7 181  2.1841351  125.141723   478.46449
#> 1292  -225.9401977   329.0257567   7 182  2.1725365  124.477174   399.13271
#> 1293  -182.8583137   258.8182421   7 183  2.1858797  125.241682   316.89753
#> 1294   -91.9076698   131.1682155   7 184  2.1819822  125.018373   160.16279
#> 1295   -52.0170365    83.2994556   7 185  2.1290060  121.983059    98.20678
#> 1488 -7633.9570049  1303.2970543   8   0  2.9724993  170.311662  7744.40978
#> 1296 -7609.9812210  1297.2015160   8   1  2.9727549  170.326311  7719.75038
#> 1297 -7587.2245447  1296.3887776   8   2  2.9723622  170.303810  7697.18131
#> 1298 -7574.2207297  1290.6996085   8   3  2.9728070  170.329296  7683.40583
#> 1299 -7563.6551300  1289.0741316   8   4  2.9727846  170.328008  7672.71732
#> 1300 -7554.7150072  1286.6359163   8   5  2.9729022  170.334749  7663.49469
#> 1301 -7542.5239306  1284.1977010   8   6  2.9729488  170.337421  7651.06731
#> 1302 -7524.6436850  1281.7594857   8   7  2.9728706  170.332936  7633.03151
#> 1303 -7507.5761778  1278.5085319   8   8  2.9729150  170.335485  7615.66045
#> 1304 -7487.2577169  1273.6321013   8   9  2.9730989  170.346018  7594.81184
#> 1305 -7465.3137790  1272.0066244   8  10  2.9728245  170.330299  7572.90636
#> 1306 -7446.6207950  1268.7556707   8  11  2.9728331  170.330792  7553.93290
#> 1307 -7437.6806721  1265.5047169   8  12  2.9730589  170.343727  7544.57394
#> 1308 -7426.3023340  1263.0665016   8  13  2.9731246  170.347492  7532.94785
#> 1309 -7413.2985190  1261.4410247   8  14  2.9730478  170.343089  7519.85561
#> 1310 -7401.9201809  1258.1900710   8  15  2.9732204  170.352981  7508.09327
#> 1311 -7389.7291043  1259.0028094   8  16  2.9728410  170.331241  7496.21133
#> 1312 -7379.9762431  1255.7518557   8  17  2.9730503  170.343233  7486.05117
#> 1313 -7371.0361202  1254.9391172   8  18  2.9729569  170.337881  7477.10142
#> 1314 -7358.8450437  1252.5009019   8  19  2.9730048  170.340625  7464.67406
#> 1315 -7346.6539671  1251.6881635   8  20  2.9728378  170.331058  7452.51956
#> 1316 -7338.5265827  1250.8754250   8  21  2.9727620  170.326719  7444.37114
#> 1317 -7327.1482446  1247.6244713   8  22  2.9729360  170.336685  7432.60844
#> 1318 -7315.7699065  1244.3735175   8  23  2.9731105  170.346683  7420.84596
#> 1319 -7283.2603689  1237.8716100   8  24  2.9732402  170.354116  7387.70653
#> 1320 -7261.3164311  1233.8079178   8  25  2.9732849  170.356678  7365.39193
#> 1321 -7240.9979702  1230.5569641   8  26  2.9732579  170.355128  7344.81600
#> 1322 -7217.4285555  1226.4932719   8  27  2.9732657  170.355578  7320.89890
#> 1323 -7199.5483098  1222.4295797   8  28  2.9734041  170.363508  7302.59063
#> 1324 -7180.0425873  1220.8041028   8  29  2.9731758  170.350428  7283.08823
#> 1325 -7161.3496033  1217.5531491   8  30  2.9731857  170.350993  7264.11480
#> 1326 -7137.7801886  1213.4894569   8  31  2.9731934  170.351433  7240.19770
#> 1327 -7109.3343432  1211.0512416   8  32  2.9728656  170.332652  7211.74597
#> 1328 -7082.5139748  1208.6130263   8  33  2.9725733  170.315904  7184.89733
#> 1329 -7053.2553910  1201.2983803   8  34  2.9728932  170.334231  7154.82560
#> 1330 -7026.4350226  1198.8601650   8  35  2.9725986  170.317355  7127.97691
#> 1331 -7001.2401310  1191.5455191   8  36  2.9730172  170.341339  7101.91130
#> 1332 -6976.0452394  1187.4818269   8  37  2.9729860  170.339549  7076.39176
#> 1333 -6955.7267785  1185.0436116   8  38  2.9728434  170.331380  7055.95234
#> 1334 -6930.5318869  1180.9799194   8  39  2.9728113  170.329543  7030.43283
#> 1335 -6907.7752106  1176.9162272   8  40  2.9728375  170.331041  7007.31690
#> 1336 -6887.4567497  1171.2270581   8  41  2.9731518  170.349049  6986.33189
#> 1337 -6865.5128119  1167.9761044   8  42  2.9730837  170.345150  6964.15353
#> 1338 -6856.5726890  1166.3506275   8  43  2.9730986  170.345999  6955.06742
#> 1339 -6829.7523206  1161.4741969   8  44  2.9731433  170.348560  6927.80911
#> 1340 -6809.4338596  1156.5977662   8  45  2.9733461  170.360182  6906.96083
#> 1341 -6789.9281371  1151.7213356   8  46  2.9735699  170.373004  6886.91412
#> 1342 -6767.1714609  1148.4703819   8  47  2.9734824  170.367992  6863.93428
#> 1343 -6751.7294306  1143.5939512   8  48  2.9738072  170.386599  6847.89438
#> 1344 -6733.8491849  1141.1557359   8  49  2.9737219  170.381717  6829.85807
#> 1345 -6715.1562008  1141.1557359   8  50  2.9732634  170.355444  6811.42857
#> 1346 -6691.5867861  1134.6538284   8  51  2.9736260  170.376222  6787.10343
#> 1347 -6668.8301099  1128.1519209   8  52  2.9740113  170.398298  6763.58055
#> 1348 -6648.5116489  1124.9009672   8  53  2.9739841  170.396738  6743.00447
#> 1349 -6626.5677111  1120.8372750   8  54  2.9740356  170.399687  6720.69013
#> 1350 -6607.0619886  1118.3990597   8  55  2.9739089  170.392428  6701.05101
#> 1351 -6575.3651895  1115.1481059   8  56  2.9735963  170.374517  6669.25653
#> 1352 -6539.6046983  1108.6461984   8  57  2.9736613  170.378240  6632.91233
#> 1353 -6503.0314686  1102.1442909   8  58  2.9737064  170.380824  6595.76685
#> 1354 -6468.8964542  1095.6423834   8  59  2.9738141  170.386994  6561.02534
#> 1355 -6420.1321479  1090.7659528   8  60  2.9733019  170.357649  6512.13231
#> 1356 -6376.2442722  1081.0130915   8  61  2.9736520  170.377707  6467.23127
#> 1357 -6329.1054428  1071.2602303   8  62  2.9739224  170.393204  6419.12566
#> 1358 -6259.2099372  1059.8818921   8  63  2.9738522  170.389181  6348.31148
#> 1359 -6202.3182465  1048.5035540   8  64  2.9741257  170.404850  6290.31886
#> 1360 -6144.6138174  1042.0016465   8  65  2.9736110  170.375362  6232.33876
#> 1361 -6098.2877265  1033.8742621   8  66  2.9736543  170.377841  6185.30591
#> 1362 -6049.5234202  1019.2449702   8  67  2.9746768  170.436423  6134.78556
#> 1363 -6014.5756674  1017.6194934   8  68  2.9739877  170.396942  6100.05491
#> 1364 -5973.9387455  1009.4921090   8  69  2.9741914  170.408616  6058.63173
#> 1365 -5932.4890851  1002.1774630   8  70  2.9742423  170.411530  6016.54273
#> 1366 -5894.2903786   997.3010324   8  71  2.9739823  170.396632  5978.06561
#> 1367 -5856.9044104   994.0500787   8  72  2.9734719  170.367393  5940.66199
#> 1368 -5817.8929654   990.7991249   8  73  2.9729089  170.335135  5901.65752
#> 1369 -5792.6980738   985.1099558   8  74  2.9731436  170.348578  5875.86526
#> 1370 -5772.3796129   981.0462636   8  75  2.9732460  170.354446  5855.15313
#> 1371 -5738.2445985   977.7953099   8  76  2.9728140  170.329697  5820.95651
#> 1372 -5703.2968457   972.9188793   8  77  2.9726302  170.319167  5785.68631
#> 1373 -5669.9745697   965.6042333   8  78  2.9729096  170.335175  5751.60875
#> 1374 -5633.4013400   954.2258952   8  79  2.9737982  170.386085  5713.64662
#> 1375 -5596.8281103   948.5367261   8  80  2.9737103  170.381050  5676.63693
#> 1376 -5559.4421421   941.2220802   8  81  2.9738814  170.390854  5638.55442
#> 1377 -5513.1160512   935.5329111   8  82  2.9735016  170.369095  5591.92904
#> 1378 -5474.9173446   929.0310036   8  83  2.9735052  170.369297  5553.18094
#> 1379 -5434.2804227   922.5290961   8  84  2.9734348  170.365262  5512.02900
#> 1380 -5377.3887321   907.0870658   8  85  2.9744804  170.425175  5453.35828
#> 1381 -5309.9314417   898.1469430   8  86  2.9740339  170.399588  5385.35420
#> 1382 -5252.2270126   889.2068202   8  87  2.9738820  170.390889  5326.96699
#> 1383 -5210.7773523   881.8921742   8  88  2.9739375  170.394066  5284.87790
#> 1384 -5157.1366154   871.3265745   8  89  2.9742178  170.410129  5230.22639
#> 1385 -5110.8105244   864.0119286   8  90  2.9741204  170.404545  5183.32913
#> 1386 -5074.2372947   853.4463289   8  91  2.9749602  170.452663  5145.50821
#> 1387 -5040.9150188   852.6335905   8  92  2.9740359  170.399706  5112.51487
#> 1388 -5008.4054812   844.5062061   8  93  2.9745462  170.428943  5079.10585
#> 1389 -4953.9520059   836.3788217   8  94  2.9743392  170.417085  5024.05912
#> 1390 -4910.0641303   826.6259604   8  95  2.9748033  170.443673  4979.16060
#> 1391 -4864.5507777   820.9367914   8  96  2.9744089  170.421075  4933.33472
#> 1392 -4813.3482561   812.8094070   8  97  2.9743051  170.415132  4881.49368
#> 1393 -4754.8310886   798.9928536   8  98  2.9751099  170.461240  4821.49440
#> 1394 -4702.8158286   789.2399923   8  99  2.9753192  170.473235  4768.58223
#> 1395 -4658.9279529   777.0489157   8 100  2.9763268  170.530966  4723.28431
#> 1396 -4593.9088779   766.4833160   8 101  2.9762678  170.527584  4657.41296
#> 1397 -4525.6388491   755.1049779   8 102  2.9762651  170.527431  4588.20123
#> 1398 -4455.7433435   744.5393782   8 103  2.9760257  170.513714  4517.52008
#> 1399 -4402.1026066   735.5992554   8 104  2.9760206  170.513422  4463.13944
#> 1400 -4346.8363928   730.7228248   8 105  2.9750453  170.457540  4407.82741
#> 1401 -4284.2555331   723.4081788   8 106  2.9743178  170.415855  4344.90102
#> 1402 -4228.1765809   709.5916254   8 107  2.9753176  170.473144  4287.30655
#> 1403 -4186.7269205   707.1534101   8 108  2.9742683  170.413018  4246.02735
#> 1404 -4132.2734452   694.9623335   8 109  2.9749727  170.453380  4190.30506
#> 1405 -4077.0072314   688.4604260   8 110  2.9743066  170.415217  4134.72680
#> 1406 -4007.9244642   679.5203032   8 111  2.9736455  170.377339  4065.12071
#> 1407 -3952.6582504   668.9547035   8 112  2.9739396  170.394186  4008.86613
#> 1408 -3896.5792982   659.2018422   8 113  2.9740049  170.397930  3951.94601
#> 1409 -3845.3767766   645.3852888   8 114  2.9753083  170.472610  3899.15949
#> 1410 -3789.2978244   640.5088582   8 115  2.9741444  170.405923  3843.04952
#> 1411 -3734.8443490   627.5050432   8 116  2.9751336  170.462600  3787.19222
#> 1412 -3657.6341974   615.3139666   8 117  2.9749259  170.450698  3709.02941
#> 1413 -3593.4278609   607.9993207   8 118  2.9739825  170.396644  3644.50092
#> 1414 -3541.4126008   593.3700288   8 119  2.9755829  170.488342  3590.77863
#> 1415 -3490.2100792   585.2426444   8 120  2.9754570  170.481129  3538.93704
#> 1416 -3430.0674348   577.1152600   8 121  2.9749020  170.449330  3478.27898
#> 1417 -3382.9286054   570.6133525   8 122  2.9744912  170.425790  3430.71502
#> 1418 -3330.9133454   560.8604913   8 123  2.9747770  170.442169  3377.80227
#> 1419 -3276.4598701   548.6694147   8 124  2.9756741  170.493569  3322.08179
#> 1420 -3226.8828254   542.1675072   8 125  2.9751315  170.462480  3272.11222
#> 1421 -3165.9274425   528.3509537   8 126  2.9762300  170.525416  3209.71203
#> 1422 -3091.1555062   520.2235694   8 127  2.9748608  170.446971  3134.62517
#> 1423 -3031.0128618   507.2197544   8 128  2.9757857  170.499960  3073.15975
#> 1424 -2984.6867709   498.2796315   8 129  2.9761728  170.522142  3025.99367
#> 1425 -2937.5479415   487.7140318   8 130  2.9770658  170.573308  2977.75971
#> 1426 -2892.8473274   478.7739090   8 131  2.9775767  170.602581  2932.19885
#> 1427 -2844.8957595   470.6465246   8 132  2.9776422  170.606330  2883.56377
#> 1428 -2805.0715761   463.3318787   8 133  2.9778942  170.620771  2843.07984
#> 1429 -2761.1837004   456.0172328   8 134  2.9779173  170.622092  2798.58663
#> 1430 -2704.2920098   447.0771099   8 135  2.9777533  170.612694  2740.99858
#> 1431 -2654.7149651   439.7624640   8 136  2.9774301  170.594176  2690.89252
#> 1432 -2605.9506588   429.1968643   8 137  2.9783593  170.647418  2641.05827
#> 1433 -2537.6806300   417.8185262   8 138  2.9784108  170.650371  2571.84667
#> 1434 -2484.8526316   409.6911418   8 139  2.9781873  170.637563  2518.40017
#> 1435 -2439.3392790   402.3764959   8 140  2.9781117  170.633233  2472.30317
#> 1436 -2400.3278340   394.2491115   8 141  2.9787982  170.672563  2432.48969
#> 1437 -2353.1890046   386.1217271   8 142  2.9789574  170.681689  2384.65689
#> 1438 -2304.4246983   378.8070812   8 143  2.9786672  170.665061  2335.35179
#> 1439 -2258.0986074   367.4287430   8 144  2.9802903  170.758057  2287.79658
#> 1440 -2200.3941783   360.1140971   8 145  2.9793719  170.705434  2229.66740
#> 1441 -2148.3789183   351.1739743   8 146  2.9795656  170.716534  2176.89116
#> 1442 -2098.8018735   342.2338515   8 147  2.9799537  170.738771  2126.52141
#> 1443 -2045.9738751   336.5446824   8 148  2.9785614  170.658997  2073.46845
#> 1444 -1995.5840919   325.1663443   8 149  2.9800692  170.745390  2021.90233
#> 1445 -1945.1943088   321.1026521   8 150  2.9779932  170.626440  1971.51916
#> 1446 -1902.1191716   312.9752677   8 151  2.9785136  170.656257  1927.69574
#> 1447 -1850.9166500   304.0351449   8 152  2.9787846  170.671787  1875.72115
#> 1448 -1806.2160359   295.9077605   8 153  2.9792077  170.696029  1830.29445
#> 1449 -1769.6428062   286.9676377   8 154  2.9808307  170.789020  1792.75935
#> 1450 -1728.1931459   280.4657302   8 155  2.9807069  170.781925  1750.80341
#> 1451 -1657.4849018   268.2746536   8 156  2.9811278  170.806040  1679.05553
#> 1452 -1603.8441649   265.0236999   8 157  2.9778297  170.617073  1625.59333
#> 1453 -1560.7690277   252.8326233   8 158  2.9809954  170.798455  1581.11489
#> 1454 -1516.0684136   242.2670236   8 159  2.9831329  170.920923  1535.30347
#> 1455 -1469.7423226   236.5778545   8 160  2.9819961  170.855791  1488.66100
#> 1456 -1428.2926623   228.4504701   8 161  2.9829895  170.912710  1446.44722
#> 1457 -1366.5245410   220.3230858   8 162  2.9817395  170.841090  1384.17180
#> 1458 -1305.5691582   209.7574861   8 163  2.9822904  170.872653  1322.31200
#> 1459 -1260.8685441   200.8173633   8 164  2.9836502  170.950561  1276.76039
#> 1460 -1216.1679300   191.8772404   8 165  2.9851105  171.034235  1231.21132
#> 1461 -1159.2762393   182.9371176   8 166  2.9850804  171.032509  1173.62148
#> 1462 -1118.6393174   173.9969948   8 167  2.9872857  171.158864  1132.09049
#> 1463 -1078.8151340   167.4950873   8 168  2.9875640  171.174811  1091.74022
#> 1464 -1048.7438118   163.4313951   8 169  2.9870007  171.142532  1061.40162
#> 1465 -1000.7922439   154.4912723   8 170  2.9884326  171.224577  1012.64637
#> 1466  -948.7769839   147.9893648   8 171  2.9868604  171.134494   960.24925
#> 1467  -913.8292311   138.2365035   8 172  2.9914592  171.397988   924.22573
#> 1468  -851.2483714   128.4836423   8 173  2.9917879  171.416818   860.89014
#> 1469  -817.9260954   124.4199501   8 174  2.9906335  171.350680   827.33513
#> 1470  -778.1019119   116.2925657   8 175  2.9932341  171.499679   786.74427
#> 1471  -746.4051129   110.6033967   8 176  2.9944817  171.571164   754.55530
#> 1472  -688.7006838   103.2887507   8 177  2.9927259  171.470565   696.40304
#> 1473  -633.4344700    95.9741048   8 178  2.9912225  171.384424   640.66392
#> 1474  -592.7975481    85.4085051   8 179  2.9985003  171.801413   598.91865
#> 1475  -530.2166884    76.4683823   8 180  2.9983593  171.793332   535.70248
#> 1476  -455.4447521    64.2773057   8 181  3.0013878  171.966852   459.95814
#> 1477  -392.8638924    54.5244444   8 182  3.0036865  172.098558   396.62949
#> 1478  -322.1556483    43.1461063   8 183  3.0084555  172.371805   325.03207
#> 1479  -150.6678379    13.8875225   8 184  3.0496793  174.733750   151.30651
#> 1480   -88.8997166     0.8837075   8 185  3.1316525  179.430470    88.90411
#> 1490  6184.7053646 -7353.5786174   9  10 -0.8715229  -49.934587  9608.62628
#> 1491  6178.6877856 -7348.9937953   9  11 -0.8716952  -49.944458  9601.24432
#> 1492  6176.6819259 -7343.5493190   9  12 -0.8714901  -49.932705  9595.78638
#> 1493  6168.3719357 -7334.3796746   9  13 -0.8715378  -49.935439  9583.41993
#> 1494  6159.2022914 -7322.9176193   9  14 -0.8715002  -49.933284  9568.74576
#> 1495  6150.6057499 -7307.7303959   9  15 -0.8711655  -49.914108  9551.59016
#> 1496  6140.2899000 -7292.5431725   9  16 -0.8709676  -49.902766  9533.32817
#> 1497  6127.3950877 -7272.7711269   9  17 -0.8706657  -49.885469  9509.89855
#> 1498  6112.2078643 -7256.1511466   9  18 -0.8707612  -49.890940  9487.40293
#> 1499  6096.1609868 -7229.7884192   9  19 -0.8702630  -49.862398  9456.90327
#> 1500  6075.2427357 -7201.9929349   9  20 -0.8700586  -49.850687  9422.16942
#> 1501  6052.8917277 -7168.7529743   9  21 -0.8695952  -49.824134  9382.35138
#> 1502  6034.2658877 -7140.6709386   9  22 -0.8691796  -49.800323  9348.87941
#> 1503  6024.5231406 -7118.0333792   9  23 -0.8684107  -49.756269  9325.30312
#> 1504  5805.8844341 -7606.3169387  10  10 -0.9188389  -52.645588  9568.92635
#> 1505  5799.5803036 -7597.1472944  10  11 -0.9187810  -52.642276  9557.81244
#> 1506  5790.9837621 -7586.2583418  10  12 -0.9188047  -52.643632  9543.94093
#> 1507  5782.9603233 -7572.5038753  10  13 -0.9185981  -52.631796  9528.13964
#> 1508  5772.6444735 -7557.6032033  10  14 -0.9185093  -52.626704  9510.03630
#> 1509  5764.6210347 -7545.5680451  10  15 -0.9184114  -52.621098  9495.60176
#> 1510  5756.5975959 -7532.3866814  10  16 -0.9182398  -52.611268  9480.25659
#> 1511  5741.6969239 -7514.0473928  10  17 -0.9183142  -52.615528  9456.63745
#> 1512  5730.8079713 -7498.5736181  10  18 -0.9182355  -52.611018  9437.73099
#> 1513  5714.7610938 -7485.9653571  10  19 -0.9187763  -52.642006  9417.97068
#> 1514  5694.1293941 -7470.4915824  10  20 -0.9195226  -52.684765  9393.15464
#> 1515  5670.9187319 -7450.1464340  10  21 -0.9201769  -52.722256  9362.90559
#> 1516  5656.3046113 -7422.3509497  10  22 -0.9196190  -52.690289  9331.93846
#> 1517  5646.8484156 -7404.8713153  10  23 -0.9192890  -52.671377  9312.30456
#> 1518  5627.3629215 -7391.4034002  10  24 -0.9200777  -52.716571  9289.78243
#> 1519  5613.0353522 -7378.2220365  10  25 -0.9204461  -52.737677  9270.61628
#> 1520  5600.4270913 -7364.4675700  10  26 -0.9206306  -52.748246  9252.03579
#> 1521  5583.8071110 -7343.8358703  10  27 -0.9207108  -52.752845  9225.55295
#> 1522  5576.0702236 -7328.9351983  10  28 -0.9204003  -52.735051  9209.00919
#> 1523  5568.0467848 -7320.9117596  10  29 -0.9205663  -52.744565  9197.76571
#> 1524  5555.7250753 -7309.4497042  10  30 -0.9208788  -52.762467  9181.18381
#> 1525  5546.2688796 -7299.9935085  10  31 -0.9210758  -52.773755  9167.93345
#> 1526  5535.9530298 -7288.2449017  10  32 -0.9211967  -52.780682  9152.33794
#> 1527  5529.6488993 -7275.3500894  10  33 -0.9208925  -52.763255  9138.25672
#> 1550  1767.1433585 -8934.2124025  11   1 -1.3755218  -78.811592  9107.30185
#> 1549  1766.2860983 -8916.2099399  11   2 -1.3752300  -78.794874  9089.47558
#> 1548  1766.2860983 -8897.3502172  11   3 -1.3748260  -78.771725  9070.97610
#> 1547  1765.4288382 -8881.4909050  11   4 -1.3745778  -78.757506  9055.25371
#> 1546  1764.5715781 -8870.7751535  11   5 -1.3744398  -78.749598  9044.57653
#> 1545  1764.5715781 -8859.2021419  11   6 -1.3741898  -78.735277  9033.22619
#> 1544  1763.7143180 -8849.3436505  11   7 -1.3740696  -78.728387  9023.39023
#> 1543  1764.5715781 -8839.4851591  11   8 -1.3737625  -78.710795  9013.88988
#> 1542  1763.2856879 -8830.9125579  11   9 -1.3737162  -78.708141  9005.23143
#> 1528  1763.3037946 -8818.6231877  11  10 -1.3734467  -78.692697  8993.18382
#> 1529  1763.9705975 -8808.3988770  11  11 -1.3731507  -78.675740  8983.28910
#> 1530  1763.7483299 -8801.2863131  11  12 -1.3730194  -78.668217  8976.27144
#> 1531  1764.4151327 -8793.2846786  11  13 -1.3727712  -78.653996  8968.55709
#> 1532  1764.4151327 -8787.2834527  11  14 -1.3726395  -78.646448  8962.67322
#> 1533  1764.8596680 -8780.3931564  11  15 -1.3724393  -78.634982  8956.00545
#> 1534  1765.5264708 -8770.1688457  11  16 -1.3721411  -78.617891  8946.11342
#> 1535  1765.5359957 -8765.0106860  11  17 -1.3720262  -78.611308  8941.05864
#> 1536  1765.7503108 -8760.7243854  11  18 -1.3719079  -78.604535  8936.89912
#> 1537  1765.7503108 -8749.1513738  11  19 -1.3716518  -78.589857  8925.55454
#> 1538  1765.7503108 -8734.7922668  11  20 -1.3713330  -78.571593  8911.47968
#> 1539  1765.5359957 -8717.8613794  11  21 -1.3709795  -78.551336  8894.84257
#> 1540  1766.6075709 -8696.2155613  11  22 -1.3703769  -78.516814  8873.84175
#> 1541  1767.1433585 -8667.3901897  11  23 -1.3696688  -78.476243  8845.70225
#> 1551  2375.3694144 -8798.3366732  12  10 -1.3071037  -74.891526  9113.34780
#> 1552  2373.2262641 -8792.3358524  12  11 -1.3071592  -74.894703  9106.99581
#> 1553  2372.7976341 -8786.3350316  12  12 -1.3070328  -74.887464  9101.09070
#> 1554  2372.3690040 -8779.9055806  12  13 -1.3068940  -74.879511  9094.77194
#> 1555  2371.5117439 -8773.9047598  12  14 -1.3068128  -74.874860  9088.75529
#> 1556  2371.5117439 -8768.7611991  12  15 -1.3066651  -74.866395  9083.79001
#> 1557  2371.0831138 -8764.4748985  12  16 -1.3065874  -74.861944  9079.54048
#> 1558  2369.7972236 -8757.6168175  12  17 -1.3065268  -74.858473  9072.58459
#> 1559  2369.7972236 -8747.7583261  12  18 -1.3062427  -74.842193  9063.06872
#> 1560  2368.9399635 -8734.4707942  12  19 -1.3059502  -74.825435  9050.01970
#> 1561  2367.2254433 -8720.3260022  12  20 -1.3057236  -74.812450  9035.91954
#> 1562  2366.3681832 -8699.3231293  12  21 -1.3052050  -74.782739  9015.42685
#> 1563  2364.2250329 -8668.8903950  12  22 -1.3045462  -74.744991  8985.50058
#> 1564  2362.0818825 -8628.5991693  12  23 -1.3035923  -74.690337  8946.06922
#> 1565  2360.7959924 -8614.0257472  12  24 -1.3033003  -74.673609  8931.67382
#> 1566  2359.9387322 -8602.8813656  12  25 -1.3030628  -74.660000  8920.69945
#> 1567  2359.0814721 -8591.3083540  12  26 -1.3028120  -74.645627  8909.31224
#> 1568  2357.3669519 -8578.4494522  12  27 -1.3026151  -74.634347  8896.45851
#> 1569  2356.9383218 -8565.1619203  12  28 -1.3022653  -74.614304  8883.53291
#> 1570   648.8475304 -8879.7763848  13   1 -1.4978557  -85.820810  8903.45055
#> 1571   651.4193108 -8862.6311823  13   2 -1.4974265  -85.796217  8886.53918
#> 1572   651.4193108 -8831.7698180  13   3 -1.4971710  -85.781580  8855.76113
#> 1573   653.1338310 -8790.6213322  13   4 -1.4966337  -85.750792  8814.85151
#> 1574   655.7056114 -8770.0470893  13   5 -1.4961687  -85.724151  8794.52533
#> 1575   657.4201316 -8748.6155862  13   6 -1.4957917  -85.702550  8773.28193
#> 1576   659.1346519 -8733.1849040  13   7 -1.4954644  -85.683801  8758.02358
#> 1577   659.1346519 -8716.8969617  13   8 -1.4953242  -85.675766  8741.78192
#> 1578   659.1346519 -8704.0380599  13   9 -1.4952131  -85.669402  8728.95968
#> 1579   659.9919120 -8692.0364182  13  10 -1.4950111  -85.657827  8717.05721
#> 1580   661.0634871 -8680.6777216  13  11 -1.4947896  -85.645135  8705.81246
#> 1581   660.8491721 -8671.8908054  13  12 -1.4947374  -85.642147  8697.03465
#> 1582   661.2778022 -8662.8895741  13  13 -1.4946095  -85.634818  8688.09209
#> 1583   659.9919120 -8653.8883428  13  14 -1.4946783  -85.638759  8679.01911
#> 1584   659.5632819 -8645.7443717  13  15 -1.4946562  -85.637491  8670.86613
#> 1585   660.4205420 -8638.0290306  13  16 -1.4944898  -85.627956  8663.23847
#> 1586   660.4205420 -8631.1709496  13  17 -1.4944294  -85.624496  8656.40036
#> 1587   660.4205420 -8609.7394466  13  18 -1.4942400  -85.613647  8635.03148
#> 1588   659.9919120 -8593.4515043  13  19 -1.4941451  -85.608207  8618.75850
#> 1589   659.9919120 -8577.1635620  13  20 -1.4940001  -85.599899  8602.51847
#> 1590   662.9923224 -8562.5901399  13  21 -1.4935216  -85.572482  8588.21918
#> 1591   665.9927328 -8547.1594577  13  22 -1.4930337  -85.544528  8573.06719
#> 1592   668.1358831 -8530.0142553  13  23 -1.4926283  -85.521301  8556.14100
#> 1593   328.4465601 -8654.3169729  14  10 -1.5328628  -87.826567  8660.54729
#> 1594   329.3038202 -8646.1730017  14  11 -1.5327281  -87.818850  8652.44177
#> 1595   330.5897104 -8637.1717705  14  12 -1.5325398  -87.808061  8643.49615
#> 1596   331.4469705 -8624.7414987  14  13 -1.5323854  -87.799218  8631.10787
#> 1597   333.1614908 -8615.7402674  14  14 -1.5321466  -87.785537  8622.17936
#> 1598   334.4473810 -8607.1676662  14  15 -1.5319590  -87.774786  8613.66300
#> 1599   335.3046411 -8599.8809552  14  16 -1.5318266  -87.767200  8606.41514
#> 1600   337.0191613 -8591.3083540  14  17 -1.5315885  -87.753558  8597.91609
#> 1601   338.3050515 -8567.7337007  14  18 -1.5313309  -87.738797  8574.41025
#> 1602   339.1623116 -8550.5884982  14  19 -1.5311517  -87.728532  8557.31235
#> 1603   341.3054619 -8538.1582265  14  20 -1.5308435  -87.710870  8544.97720
#> 1604   343.0199822 -8518.4412437  14  21 -1.5305501  -87.694063  8525.34480
#> 1605   346.4490227 -8502.1533014  14  22 -1.5300705  -87.666580  8509.20899
#> 1606   350.3066932 -8478.1500180  14  23 -1.5295011  -87.633955  8485.38405
#> 1607  -310.6698168 -8780.5951508  15   1 -1.6061630  -92.026360  8786.08940
#> 1608  -308.5540067 -8756.6159700  15   2 -1.6060184  -92.018078  8762.05049
#> 1609  -305.0276566 -8727.6998990  15   3 -1.6057315  -92.001637  8733.02854
#> 1610  -298.6802264 -8686.0889677  15   4 -1.6051688  -91.969399  8691.22267
#> 1611  -296.5644163 -8664.2255969  15   5 -1.6050116  -91.960390  8669.29961
#> 1612  -292.3327962 -8631.7831759  15   6 -1.6046504  -91.939696  8636.73198
#> 1613  -287.9153582 -8596.5730212  15   7 -1.6042757  -91.918226  8601.39308
#> 1614  -286.6968807 -8576.4681420  15   8 -1.6042122  -91.914588  8581.25870
#> 1615  -283.6506869 -8560.6279342  15   9 -1.6039185  -91.897763  8565.32593
#> 1616  -281.2137318 -8544.1784876  15  10 -1.6036974  -91.885090  8548.80502
#> 1617  -280.3432058 -8534.4559127  15  11 -1.6036329  -91.881398  8539.05908
#> 1618  -278.9326657 -8524.9347674  15  12 -1.6035043  -91.874028  8529.49683
#> 1619  -278.2273957 -8514.0030820  15  13 -1.6034635  -91.871691  8518.54794
#> 1620  -276.4642206 -8505.1872067  15  14 -1.6032903  -91.861765  8509.67931
#> 1621  -276.1115856 -8499.1924115  15  15 -1.6032717  -91.860702  8503.67622
#> 1622  -275.0536806 -8493.1976163  15  16 -1.6031702  -91.854885  8497.65028
#> 1623  -275.4063156 -8486.1449161  15  17 -1.6032386  -91.858804  8490.61271
#> 1624  -272.5852355 -8469.5710705  15  18 -1.6029693  -91.843375  8473.95639
#> 1625  -271.5273305 -8457.2288451  15  19 -1.6028912  -91.838904  8461.58654
#> 1626  -270.1167904 -8446.6497948  15  20 -1.6027646  -91.831647  8450.96775
#> 1627  -268.3536154 -8426.9022341  15  21 -1.6026304  -91.823960  8431.17399
#> 1628  -264.4746302 -8408.2125785  15  22 -1.6022403  -91.801606  8412.37099
#> 1629  -259.5377401 -8372.9490774  15  23 -1.6017836  -91.775439  8376.97058
#> 1630  -157.3409136 -8567.9651093  16  10 -1.5891581  -91.052053  8569.40968
#> 1631  -155.3360246 -8556.4369978  16  11 -1.5889486  -91.040050  8557.84689
#> 1632  -153.8323579 -8546.4125530  16  12 -1.5887940  -91.031192  8547.79690
#> 1633  -151.3262467 -8534.3832193  16  13 -1.5885258  -91.015826  8535.72472
#> 1634  -149.8225800 -8524.3587746  16  14 -1.5883703  -91.006917  8525.67530
#> 1635  -147.8176911 -8516.3392187  16  15 -1.5881515  -90.994380  8517.62195
#> 1636  -146.8152466 -8508.8208852  16  16 -1.5880491  -90.988511  8510.08740
#> 1637  -146.3140244 -8503.3074405  16  17 -1.5880013  -90.985775  8504.56614
#> 1638  -143.3066909 -8484.2609955  16  18 -1.5876856  -90.967684  8485.47120
#> 1639  -141.8030242 -8469.2243284  16  19 -1.5875381  -90.959233  8470.41137
#> 1640  -138.7956908 -8456.1925502  16  20 -1.5872084  -90.940340  8457.33153
#> 1641  -135.7883574 -8437.6473273  16  21 -1.5868881  -90.921990  8438.73989
#> 1642  -133.7834684 -8421.1069935  16  22 -1.5866817  -90.910163  8422.16961
#> 1643  -127.7688015 -8392.5373259  16  23 -1.5860192  -90.872209  8393.50985
#> 1644    11.5709807 -8826.5957842  17   1 -1.5694854  -89.924890  8826.60337
#> 1645    15.0795363 -8806.0456724  17   2 -1.5690839  -89.901886  8806.05858
#> 1646    18.5880920 -8774.9698937  17   3 -1.5686780  -89.878630  8774.98958
#> 1647    24.1015366 -8724.8476698  17   4 -1.5680339  -89.841726  8724.88096
#> 1648    27.1088701 -8703.7963358  17   5 -1.5676817  -89.821547  8703.83855
#> 1649    31.1186480 -8672.2193348  17   6 -1.5672080  -89.794406  8672.27517
#> 1650    36.1308703 -8648.1606674  17   7 -1.5666185  -89.760627  8648.23614
#> 1651    38.1357593 -8632.6227780  17   8 -1.5663787  -89.746890  8632.70701
#> 1652    40.6418705 -8618.0873331  17   9 -1.5660805  -89.729802  8618.18316
#> 1653    43.6492039 -8605.0555549  17  10 -1.5657239  -89.709369  8605.16626
#> 1654    45.2229584 -8595.6688276  17  11 -1.5655352  -89.698562  8595.78779
#> 1655    46.9548569 -8586.5763607  17  12 -1.5653280  -89.686687  8586.70474
#> 1656    48.6867553 -8574.8860461  17  13 -1.5651186  -89.674688  8575.02426
#> 1657    51.2846030 -8564.4946554  17  14 -1.5648084  -89.656914  8564.64820
#> 1658    53.4494761 -8556.2681377  17  15 -1.5645496  -89.642088  8556.43508
#> 1659    54.7483999 -8549.7735185  17  16 -1.5643929  -89.633112  8549.94881
#> 1660    56.4802984 -8541.9799754  17  17 -1.5641843  -89.621161  8542.16670
#> 1661    60.8100445 -8522.9290924  17  18 -1.5636616  -89.591209  8523.14603
#> 1662    63.4078922 -8507.3420063  17  19 -1.5633432  -89.572964  8507.57830
#> 1663    64.7068161 -8495.2187170  17  20 -1.5631796  -89.563595  8495.46514
#> 1664    68.1706130 -8474.8689102  17  21 -1.5627526  -89.539131  8475.14308
#> 1665    71.6344099 -8456.2510017  17  22 -1.5623254  -89.514649  8456.55441
#> 1666    79.8609276 -8422.9119564  17  23 -1.5613152  -89.456773  8423.29054
#> 1667  -682.6073687 -8798.3009473  18   1 -1.6482252  -94.436349  8824.74092
#> 1668  -685.2052164 -8770.5905719  18   2 -1.6487633  -94.467177  8797.31579
#> 1669  -687.8030641 -8742.0142474  18   3 -1.6493125  -94.498643  8769.02994
#> 1670  -688.6690133 -8707.3762782  18   4 -1.6497223  -94.522127  8734.56734
#> 1671  -690.4009118 -8681.3978013  18   5 -1.6501558  -94.546961  8708.80711
#> 1672  -689.5349625 -8642.4300860  18   6 -1.6504125  -94.561672  8669.89367
#> 1673  -686.9371149 -8599.9985738  18   7 -1.6505035  -94.566886  8627.38999
#> 1674  -687.8030641 -8576.6179446  18   8 -1.6508202  -94.585031  8604.15298
#> 1675  -687.8030641 -8558.4330108  18   9 -1.6509895  -94.594731  8586.02636
#> 1676  -687.8030641 -8539.3821277  18  10 -1.6511677  -94.604938  8567.03684
#> 1677  -688.6690133 -8527.2588385  18  11 -1.6513823  -94.617237  8555.02240
#> 1678  -688.6690133 -8517.7333970  18  12 -1.6514720  -94.622378  8545.52791
#> 1679  -687.8030641 -8503.8782093  18  13 -1.6515018  -94.624080  8531.64800
#> 1680  -687.8030641 -8494.3527678  18  14 -1.6515919  -94.629243  8522.15360
#> 1681  -687.5349844 -8485.5009114  18  15 -1.6516444  -94.632253  8513.30900
#> 1682  -688.0171773 -8480.1967891  18  16 -1.6517512  -94.638374  8508.06119
#> 1683  -687.5349844 -8471.5173163  18  17 -1.6517773  -94.639866  8499.37115
#> 1684  -687.5349844 -8458.4981072  18  18 -1.6519014  -94.646976  8486.39468
#> 1685  -687.5349844 -8443.0679333  18  19 -1.6520489  -94.655431  8471.01532
#> 1686  -687.5349844 -8429.0843382  18  20 -1.6521831  -94.663121  8457.07793
#> 1687  -688.0171773 -8408.3500421  18  21 -1.6524399  -94.677833  8436.45175
#> 1688  -688.0171773 -8389.5445177  18  22 -1.6526221  -94.688271  8417.70900
#> 1689  -687.5349844 -8362.5417135  18  23 -1.6528279  -94.700061  8390.75731
#> 1690  -487.9071101 -8774.8166712  19   1 -1.6263422  -93.182546  8788.37078
#> 1691  -492.2468465 -8750.7070246  19   2 -1.6269893  -93.219623  8764.54108
#> 1692  -490.8002677 -8722.7398345  19   3 -1.6270038  -93.220452  8736.53679
#> 1693  -490.8002677 -8684.1643998  19   4 -1.6272530  -93.234727  8698.02255
#> 1694  -489.8358818 -8662.4657178  19   5 -1.6272831  -93.236454  8676.30402
#> 1695  -488.8714960 -8625.8190549  19   6 -1.6274111  -93.243789  8639.66143
#> 1696  -485.4961454 -8586.7614273  19   7 -1.6272763  -93.236062  8600.47547
#> 1697  -484.5317596 -8567.4737100  19   8 -1.6272909  -93.236903  8581.16407
#> 1698  -482.6029878 -8553.9723079  19   9 -1.6271552  -93.229123  8567.57538
#> 1699  -481.1564090 -8539.0243270  19  10 -1.6270847  -93.225089  8552.56967
#> 1700 -2094.5388383 -8865.5394384  20   1 -1.8027984 -103.292741  9109.60386
#> 1701 -2080.1786834 -8825.7226452  20   2 -1.8022668 -103.262282  9067.55334
#> 1702 -2069.7349344 -8793.0859295  20   3 -1.8019703 -103.245296  9033.39155
#> 1703 -2057.9857167 -8759.1437452  20   4 -1.8015636 -103.221991  8997.66105
#> 1704 -2049.5001707 -8729.7707010  20   5 -1.8013916 -103.212136  8967.12593
#> 1705 -2036.7108110 -8691.8794867  20   6 -1.8009670 -103.187809  8927.31538
#> 1706 -2017.5161893 -8642.3043029  20   7 -1.8001356 -103.140174  8874.67156
#> 1707 -2005.7669716 -8595.9601666  20   8 -1.8000330 -103.134294  8826.86991
#> 1708 -1993.3650196 -8546.3523587  20   9 -1.7999413 -103.129038  8775.74172
#> 1709 -1982.9212706 -8503.2718939  20  10 -1.7998972 -103.126510  8731.41510
#> 1710 -1975.7411931 -8477.1625214  20  11 -1.7997750 -103.119513  8704.35740
#> 1711 -1971.1720529 -8462.1496321  20  12 -1.7996551 -103.112641  8688.69931
#> 1712 -1965.9501784 -8434.7347909  20  13 -1.7997860 -103.120141  8660.81469
#> 1713 -1962.6865069 -8422.3328390  20  14 -1.7997440 -103.117734  8647.99565
#> 1714 -1960.0755696 -8407.9726840  20  15 -1.7998269 -103.122488  8633.41768
#> 1715 -1957.4646323 -8398.8344036  20  16 -1.7997727 -103.119378  8623.92527
#> 1716 -1956.1591637 -8390.3488576  20  17 -1.7998487 -103.123732  8615.36492
#> 1717 -1953.5482265 -8381.8633115  20  18 -1.7997771 -103.119631  8606.50819
#> 1718 -1949.6318206 -8366.1976879  20  19 -1.7997470 -103.117908  8590.36251
#> 1719 -1947.6736176 -8354.4484703  20  20 -1.7998355 -103.122980  8578.47549
#> 1720 -1945.0626804 -8343.3519869  20  21 -1.7998328 -103.122824  8567.07600
#> 1721 -1942.4517431 -8332.9082379  20  22 -1.7998127 -103.121674  8556.31220
#> 1722 -1939.1880715 -8319.8535516  20  23 -1.7997876 -103.120234  8542.85746
#> 1723 -2601.7134006 -8699.7449226  21   1 -1.8613871 -106.649625  9080.44461
#> 1724 -2592.5751202 -8665.8027382  21   2 -1.8614943 -106.655769  9045.30723
#> 1725 -2584.0895741 -8635.7769598  21   3 -1.8615472 -106.658797  9014.10909
#> 1726 -2575.6040280 -8605.0984470  21   4 -1.8616213 -106.663041  8982.28564
#> 1727 -2567.7712162 -8577.0308715  21   5 -1.8616820 -106.666524  8953.15071
#> 1728 -2556.6747329 -8535.9086097  21   6 -1.8618126 -106.674006  8910.57358
#> 1729 -2541.0091094 -8486.9535361  21   7 -1.8617042 -106.667794  8859.18211
#> 1730 -2523.3852829 -8440.6093998  21   8 -1.8612966 -106.644441  8809.73100
#> 1731 -2509.6778623 -8394.9179978  21   9 -1.8612914 -106.644142  8762.02780
#> 1732 -2494.0122387 -8348.5738614  21  10 -1.8610923 -106.632733  8713.13850
#> 1733 -2481.6102868 -8318.5480830  21  11 -1.8607134 -106.611027  8680.81977
#> 1734 -2476.3884122 -8299.6187879  21  12 -1.8607605 -106.613722  8661.18765
#> 1735 -2460.7227887 -8265.0238692  21  13 -1.8601667 -106.579702  8623.55937
#> 1736 -2452.8899769 -8246.7473084  21  14 -1.8599003 -106.564439  8603.80790
#> 1737 -2447.0153681 -8231.7344192  21  15 -1.8597430 -106.555428  8587.74334
#> 1738 -2443.0989622 -8221.2906701  21  16 -1.8596523 -106.550229  8576.61663
#> 1739 -2440.4880250 -8212.8051241  21  17 -1.8596423 -106.549657  8567.73890
#> 1740 -2435.2661504 -8206.2777809  21  18 -1.8592748 -106.528597  8559.99511
#> 1741 -2428.0860730 -8188.6539544  21  19 -1.8590559 -106.516056  8541.05705
#> 1742 -2425.4751357 -8178.2102054  21  20 -1.8591105 -106.519185  8530.30198
#> 1743 -2420.9059955 -8167.7664564  21  21 -1.8589449 -106.509695  8518.99024
#> 1744 -2416.9895896 -8157.3227073  21  22 -1.8588523 -106.504394  8507.86415
#> 1745 -2413.0731837 -8146.8789583  21  23 -1.8587596 -106.499080  8496.73814
#> 1746 -3156.5375678 -8513.7156430  22   1 -1.9258438 -110.342720  9080.03764
#> 1747 -3139.5664756 -8477.1625214  22   2 -1.9254892 -110.322404  9039.86516
#> 1748 -3130.4281952 -8452.3586174  22   3 -1.9254942 -110.322690  9013.43147
#> 1749 -3117.3735089 -8419.7219017  22   4 -1.9253931 -110.316901  8978.29240
#> 1750 -3110.8461658 -8389.6961232  22   5 -1.9258742 -110.344461  8947.86929
#> 1751 -3100.4024168 -8349.2265958  22   6 -1.9263544 -110.371979  8906.29440
#> 1752 -3086.0422618 -8308.7570683  22   7 -1.9264251 -110.376026  8863.35720
#> 1753 -3072.9875756 -8263.0656663  22   8 -1.9268415 -110.399884  8815.98020
#> 1754 -3056.0164834 -8226.5125447  22   9 -1.9264808 -110.379218  8775.80454
#> 1755 -3037.7399226 -8174.2937995  22  10 -1.9266014 -110.386128  8720.48983
#> 1756 -3023.3797677 -8141.6570838  22  11 -1.9263605 -110.372327  8684.89524
#> 1757 -3014.2414873 -8122.0750544  22  12 -1.9261585 -110.360755  8663.35702
#> 1758 -3006.4086755 -8086.8274014  22  13 -1.9267288 -110.393430  8627.58776
#> 1759 -2998.5758637 -8064.6344347  22  14 -1.9267743 -110.396038  8604.05636
#> 1760 -2991.8267907 -8043.8272750  22  15 -1.9268822 -110.402217  8582.20163
#> 1761 -2985.9818260 -8031.1631847  22  16 -1.9267581 -110.395105  8568.29444
#> 1762 -2983.0593436 -8018.4990945  22  17 -1.9269537 -110.406316  8555.40594
#> 1763 -2977.2143788 -8009.7316473  22  18 -1.9266704 -110.390082  8545.15105
#> 1764 -2968.4469317 -7992.1967531  22  19 -1.9264231 -110.375910  8525.66045
#> 1765 -2963.5761278 -7977.5843413  22  20 -1.9264844 -110.379423  8510.26647
#> 1766 -2958.7053238 -7965.8944118  22  21 -1.9264261 -110.376085  8497.61207
#> 1767 -2954.8086807 -7957.1269647  22  22 -1.9263554 -110.372033  8488.03651
#> 1768 -2948.9637159 -7942.5145528  22  23 -1.9263090 -110.369379  8472.30337
#> 1769 -3678.6101480 -8328.2822259  23   1 -1.9867274 -113.831093  9104.52950
#> 1770 -3664.9718970 -8288.3416334  23   2 -1.9871315 -113.854247  9062.48454
#> 1771 -3646.4628419 -8245.4785587  23   3 -1.9871765 -113.856829  9015.79769
#> 1772 -3632.8245909 -8211.3829310  23   4 -1.9873232 -113.865233  8979.09929
#> 1773 -3619.1863398 -8180.2097857  23   5 -1.9873389 -113.866130  8945.07361
#> 1774 -3603.5997672 -8142.2175149  23   6 -1.9874644 -113.873324  8904.02366
#> 1775 -3585.0907121 -8104.2252440  23   7 -1.9872896 -113.863306  8861.79114
#> 1776 -3565.6074963 -8068.1812948  23   8 -1.9869228 -113.842288  8820.94701
#> 1777 -3550.9950845 -8032.1373455  23   9 -1.9870599 -113.850145  8782.07244
#> 1778 -3530.5377079 -7987.3259492  23  10 -1.9869922 -113.846267  8732.81583
#> 1779 -3515.9252960 -7952.2561607  23  11 -1.9870857 -113.851625  8694.83230
#> 1780 -3505.2095273 -7933.7471057  23  12 -1.9868187 -113.836325  8673.57118
#> 1781 -3493.5195978 -7903.5481212  23  13 -1.9869936 -113.846346  8641.22399
#> 1782 -3482.8038291 -7881.1424230  23  14 -1.9869074 -113.841408  8616.39881
#> 1783 -3474.0363820 -7858.7367248  23  15 -1.9870281 -113.848324  8592.36124
#> 1784 -3467.2172565 -7845.0984737  23  16 -1.9869438 -113.843496  8577.13038
#> 1785 -3463.3206133 -7833.4085443  23  17 -1.9870794 -113.851266  8564.86305
#> 1786 -3457.4756486 -7821.7186148  23  18 -1.9870071 -113.847120  8551.80799
#> 1787 -3450.6565230 -7804.1837205  23  19 -1.9871070 -113.852843  8533.01318
#> 1788 -3441.8890759 -7786.6488263  23  20 -1.9869980 -113.846600  8513.43059
#> 1789 -3437.9924328 -7771.0622537  23  21 -1.9873202 -113.865058  8497.59969
#> 1790 -3430.1991464 -7760.3464850  23  22 -1.9869912 -113.846207  8484.64753
#> 1791 -3420.4575385 -7744.7599123  23  23 -1.9866830 -113.828553  8466.45356
#> 1792 -3408.7676091 -7717.4834102  23  24 -1.9867217 -113.830769  8436.77941
#> 1793 -3400.9743227 -7694.1035512  23  25 -1.9869972 -113.846553  8412.24440
#> 1794 -3386.3619109 -7674.6203354  23  26 -1.9863430 -113.809068  8388.51860
#> 1795 -3374.6719814 -7649.2921548  23  27 -1.9862867 -113.805845  8360.62686
#> 1796 -3364.9303735 -7629.8089390  23  28 -1.9861610 -113.798640  8338.86928
#> 1797 -3355.1887656 -7614.2223664  23  29 -1.9858456 -113.780573  8320.67749
#> 1798 -3346.4213185 -7595.7133114  23  30 -1.9857782 -113.776711  8300.20460
#> 1799 -3338.6280321 -7577.2042563  23  31 -1.9858181 -113.778998  8280.12448
#> 1800 -3325.9639419 -7558.6952013  23  32 -1.9853185 -113.750371  8258.08145
#> 1801 -3317.1964947 -7537.2636639  23  33 -1.9853922 -113.754592  8234.93389
#> 1802 -4188.0962415 -8096.4319577  24   1 -2.0481696 -117.351476  9115.50111
#> 1803 -4170.5613473 -8059.4138477  24   2 -2.0483276 -117.360526  9074.56520
#> 1804 -4150.1039707 -8024.3440592  24   3 -2.0481005 -117.347516  9034.01686
#> 1805 -4136.4657196 -7997.0675571  24   4 -2.0481468 -117.350167  9003.52365
#> 1806 -4118.9308254 -7966.8685726  24   5 -2.0479572 -117.339303  8968.64460
#> 1807 -4099.4476096 -7924.9796586  24   6 -2.0481736 -117.351702  8922.48695
#> 1808 -4076.0677506 -7886.0132269  24   7 -2.0478511 -117.333224  8877.13540
#> 1809 -4056.5845348 -7846.0726345  24   8 -2.0479679 -117.339914  8832.70818
#> 1810 -4038.0754798 -7805.1578813  24   9 -2.0482352 -117.355232  8787.86340
#> 1811 -4012.7472992 -7761.3206458  24  10 -2.0479660 -117.339806  8737.29014
#> 1812 -3990.3416010 -7725.2766965  24  11 -2.0475808 -117.317736  8694.98281
#> 1813 -3979.6258323 -7707.7418023  24  12 -2.0474109 -117.308004  8674.48589
#> 1814 -3964.0392597 -7677.5428178  24  13 -2.0474115 -117.308037  8640.50178
#> 1815 -3953.3234910 -7651.2404764  24  14 -2.0477070 -117.324970  8612.21501
#> 1816 -3937.7369183 -7627.8606174  24  15 -2.0473441 -117.304178  8584.28970
#> 1817 -3930.9177928 -7611.2998840  24  16 -2.0475236 -117.314460  8566.44621
#> 1818 -3923.1245065 -7598.6357937  24  17 -2.0473934 -117.307002  8551.61808
#> 1819 -3918.2537025 -7585.9717035  24  18 -2.0475670 -117.316946  8538.13087
#> 1820 -3907.5379338 -7572.3334524  24  19 -2.0471842 -117.295012  8521.09656
#> 1821 -3895.8480043 -7548.9535934  24  20 -2.0472234 -117.297258  8494.95921
#> 1822 -3886.1063964 -7532.3928600  24  21 -2.0470981 -117.290080  8475.77519
#> 1823 -3875.3906277 -7516.8062873  24  22 -2.0468170 -117.273978  8457.01066
#> 1824 -3865.6490198 -7496.3489107  24  23 -2.0469019 -117.278841  8434.36360
#> 1825 -3849.0882864 -7464.2016046  24  24 -2.0469037 -117.278942  8398.20137
#> 1826 -3835.4500353 -7434.9767809  24  25 -2.0470558 -117.287660  8365.97614
#> 1827 -3821.8117842 -7408.6744396  24  26 -2.0470484 -117.287234  8336.34826
#> 1828 -3807.1993724 -7381.3979374  24  27 -2.0469904 -117.283913  8305.40803
#> 1829 -3796.4836037 -7357.0439177  24  28 -2.0471886 -117.295265  8278.85155
#> 1830 -3788.6903174 -7343.4056666  24  29 -2.0471073 -117.290610  8263.15806
#> 1831 -3776.0262271 -7329.7674155  24  30 -2.0465008 -117.255856  8245.23283
#> 1832 -3762.3879760 -7311.2583605  24  31 -2.0460572 -117.230440  8222.53380
#> 1833 -3750.6980465 -7290.8009839  24  32 -2.0459311 -117.223216  8198.99474
#> 1834 -3741.9305994 -7272.2919289  24  33 -2.0460131 -117.227916  8178.52520
#> 1835 -2786.2788639 -7101.8137905  25  63 -1.9446762 -111.421736  7628.83405
#> 1836 -2767.7698089 -7063.8215197  25  64 -1.9442340 -111.396403  7586.70707
#> 1837 -2750.2349146 -7020.9584449  25  65 -1.9441426 -111.391167  7540.40115
#> 1838 -2728.8033772 -6965.4312799  25  66 -1.9441824 -111.393445  7480.88235
#> 1839 -2708.3460006 -6919.6457227  25  67 -1.9438666 -111.375351  7430.78966
#> 1840 -2689.8369456 -6876.7826479  25  68 -1.9436481 -111.362833  7384.12909
#> 1841 -2672.3020514 -6836.8420555  25  69 -1.9434055 -111.348933  7340.54545
#> 1842 -2657.6896395 -6804.6947494  25  70 -1.9431445 -111.333979  7305.28472
#> 1843 -2638.2064237 -6756.9608707  25  71 -1.9430366 -111.327799  7253.73375
#> 1844 -2615.8007255 -6713.1236351  25  72 -1.9423527 -111.288613  7204.75138
#> 1845 -2596.3175097 -6668.3122387  25  73 -1.9420894 -111.273527  7155.92431
#> 1846 -2581.7050979 -6635.1907719  25  74 -1.9418647 -111.260654  7119.75827
#> 1847 -2570.9893292 -6600.1209834  25  75 -1.9422502 -111.282739  7083.19018
#> 1848 -2556.3769173 -6562.1287126  25  76 -1.9422749 -111.284157  7042.48509
#> 1849 -2542.7386662 -6527.0589241  25  77 -1.9422781 -111.284337  7004.85675
#> 1850 -2527.1520936 -6499.7824220  25  78 -1.9416153 -111.246362  6973.78443
#> 1851 -2236.9337970 -6070.5328588  26  88 -1.9238479 -110.228364  6469.56274
#> 1852 -2215.5619439 -6020.1563478  26  89 -1.9234371 -110.204826  6414.90430
#> 1853 -2198.7697735 -5972.8329587  26  90 -1.9235291 -110.210097  6364.69340
#> 1854 -2183.5041641 -5917.8767649  26  91 -1.9242678 -110.252422  6307.84875
#> 1855 -2163.6588719 -5861.3940101  26  92 -1.9244172 -110.260982  6247.98843
#> 1856 -2151.4463844 -5815.5971819  26  93 -1.9251272 -110.301661  6200.79770
#> 1857 -2136.1807750 -5769.8003537  26  94 -1.9253827 -110.316305  6152.54942
#> 1858 -2120.9151656 -5720.9504037  26  95 -1.9258162 -110.341142  6101.43874
#> 1859 -2104.1229953 -5661.4145270  26  96 -1.9266358 -110.388102  6039.78046
#> 1860 -2085.8042640 -5604.9317723  26  97 -1.9270549 -110.412112  5980.45480
#> 1861 -2064.4324109 -5528.6037253  26  98 -1.9281717 -110.476103  5901.46934
#> 1862 -2407.9086222 -5417.1647767  27  98 -1.9890638 -113.964960  5928.21205
#> 1863 -2381.9570863 -5369.8413876  27  99 -1.9882990 -113.921142  5874.42900
#> 1864 -2359.0586722 -5324.0445594  27 100 -1.9878934 -113.897903  5823.28157
#> 1865 -2333.1071362 -5266.0352437  27 101 -1.9878541 -113.895648  5759.73229
#> 1866 -2302.5759174 -5204.9728061  27 102 -1.9872954 -113.863641  5691.53738
#> 1867 -2261.3587721 -5121.0119544  27 103 -1.9866298 -113.825503  5598.08065
#> 1868 -2229.3009923 -5056.8963950  27 104 -1.9860098 -113.789982  5526.48026
#> 1869 -2210.9822611 -5001.9402012  27 105 -1.9869984 -113.846624  5468.80685
#> 1870 -2185.0307251 -4948.5105683  27 106 -1.9866037 -113.824010  5409.44693
#> 1871 -2162.1323110 -4904.2403010  27 107 -1.9860318 -113.791242  5359.70046
#> 1872 -2139.2338969 -4852.3372291  27 108 -1.9860291 -113.791085  5302.97070
#> 1873 -4790.8702488 -7823.0248174  28   1 -2.1202883 -121.483568  9173.44837
#> 1874 -4771.0249566 -7771.1217454  28   2 -2.1214049 -121.547549  9118.82735
#> 1875 -4743.5468597 -7729.9046000  28   3 -2.1212007 -121.535849  9069.32533
#> 1876 -4722.1750065 -7696.3202594  28   4 -2.1211288 -121.531726  9029.52282
#> 1877 -4709.9625190 -7671.8952843  28   5 -2.1213914 -121.546773  9002.31771
#> 1878 -4687.0641049 -7632.2046999  28   6 -2.1215311 -121.554779  8956.51263
#> 1879 -4664.1656908 -7597.0937983  28   7 -2.1214034 -121.547461  8914.61024
#> 1880 -4638.2141549 -7560.4563358  28   8 -2.1210711 -121.528423  8869.81006
#> 1881 -4609.2094970 -7517.7126295  28   9 -2.1208022 -121.513015  8818.20931
#> 1882 -4578.6782782 -7471.9158013  28  10 -2.1205636 -121.499344  8763.20835
#> 1883 -4555.4563282 -7431.9016809  28  11 -2.1206906 -121.506619  8716.95732
#> 1884 -4541.7866088 -7410.2579586  28  12 -2.1206510 -121.504354  8691.36057
#> 1885 -4524.6994597 -7376.0836603  28  13 -2.1210312 -121.526137  8653.29506
#> 1886 -4507.6123105 -7347.6050784  28  14 -2.1210690 -121.528303  8620.08522
#> 1887 -4492.8034479 -7322.5439263  28  15 -2.1211252 -121.531519  8590.97971
#> 1888 -4482.5511584 -7303.1784906  28  16 -2.1212872 -121.540806  8569.11203
#> 1889 -4471.1597257 -7289.5087713  28  17 -2.1209881 -121.523668  8551.50323
#> 1890 -4463.1857227 -7274.6999087  28  18 -2.1210989 -121.530016  8534.71063
#> 1891 -4449.5160034 -7253.0561864  28  19 -2.1210598 -121.527773  8509.11374
#> 1892 -4436.9854274 -7230.2733209  28  20 -2.1212051 -121.536098  8483.14163
#> 1893 -4423.3157080 -7210.9078852  28  21 -2.1210251 -121.525789  8459.48665
#> 1894 -4410.7851320 -7191.5424495  28  22 -2.1209593 -121.522018  8436.42746
#> 1895 -4395.9762694 -7168.7595839  28  23 -2.1208746 -121.517165  8409.26402
#> 1896 -5365.3871981 -7479.7456985  29   1 -2.1930535 -125.652712  9205.10595
#> 1897 -5340.3260460 -7446.7105435  29   2 -2.1929326 -125.645780  9163.65539
#> 1898 -5316.4040372 -7404.5622422  29   3 -2.1934946 -125.677981  9115.46455
#> 1899 -5291.3428851 -7366.9705141  29   4 -2.1936674 -125.687881  9070.31224
#> 1900 -5275.3948792 -7338.4919322  29   5 -2.1940724 -125.711087  9037.87890
#> 1901 -5246.9162973 -7302.0393473  29   6 -2.1938670 -125.699321  8991.65776
#> 1902 -5215.0202855 -7261.0301893  29   7 -2.1936464 -125.686680  8939.74250
#> 1903 -5183.1242738 -7218.8818881  29   8 -2.1934979 -125.678175  8886.90233
#> 1904 -5155.7848351 -7180.1510167  29   9 -2.1935411 -125.680645  8839.49579
#> 1905 -5122.7496801 -7133.4461423  29  10 -2.1935875 -125.683304  8782.29003
#> 1906 -5093.1319549 -7095.8544142  29  11 -2.1933436 -125.669334  8734.48012
#> 1907 -5076.0448057 -7077.6281218  29  12 -2.1929701 -125.647930  8709.71014
#> 1908 -5060.0967999 -7053.7061129  29  13 -2.1930832 -125.654413  8680.97630
#> 1909 -5038.4530776 -7025.2275310  29  14 -2.1929691 -125.647875  8645.22014
#> 1910 -5019.0876419 -6999.0272356  29  15 -2.1929149 -125.644768  8612.64321
#> 1911 -5005.4179226 -6979.6617999  29  16 -2.1929355 -125.645947  8588.93983
#> 1912 -4992.8873465 -6961.4355075  29  17 -2.1929867 -125.648883  8566.82604
#> 1913 -4980.3567705 -6944.3483584  29  18 -2.1929605 -125.647383  8545.63793
#> 1914 -4962.1304780 -6920.4263495  29  19 -2.1928584 -125.641534  8515.57630
#> 1915 -4946.1824722 -6897.6434840  29  20 -2.1928956 -125.643662  8487.76806
#> 1916 -4930.2344663 -6873.7214752  29  21 -2.1930114 -125.650300  8459.03415
#> 1917 -4915.4256037 -6852.0777529  29  22 -2.1930804 -125.654249  8432.81557
#> 1918 -4899.4775978 -6831.5731739  29  23 -2.1929606 -125.647389  8406.85867
#> 1919 -5679.7907425 -7278.1173385  30   1 -2.2334668 -127.968223  9232.06450
#> 1920 -5636.5032980 -7214.3253150  30   2 -2.2340261 -128.000269  9155.14386
#> 1921 -5612.5812892 -7177.8727301  30   3 -2.2344203 -128.022856  9111.69170
#> 1922 -5589.7984236 -7148.2550049  30   4 -2.2344530 -128.024726  9074.32620
#> 1923 -5567.0155581 -7120.9155663  30   5 -2.2343306 -128.017716  9038.75549
#> 1924 -5539.6761195 -7081.0455516  30   6 -2.2346663 -128.036946  8990.50708
#> 1925 -5505.5018212 -7036.6189638  30   7 -2.2347176 -128.039885  8934.45895
#> 1926 -5471.3275228 -6992.1923760  30   8 -2.2347695 -128.042860  8878.41084
#> 1927 -5439.4315111 -6952.3223613  30   9 -2.2347072 -128.039291  8827.35529
#> 1928 -5407.5354993 -6911.3132033  30  10 -2.2347242 -128.040264  8775.40258
#> 1929 -5379.0569174 -6878.2780483  30  11 -2.2344869 -128.026666  8731.83613
#> 1930 -5365.3871981 -6858.9126126  30  12 -2.2346203 -128.034309  8708.16066
#> 1931 -5344.8826191 -6833.8514605  30  13 -2.2345385 -128.029625  8675.78792
#> 1932 -5320.9606103 -6807.6511651  30  14 -2.2342258 -128.011708  8640.41296
#> 1933 -5299.3168880 -6781.4508697  30  15 -2.2341191 -128.005596  8606.44150
#> 1934 -5279.9514523 -6762.0854340  30  16 -2.2337304 -127.983324  8579.25910
#> 1935 -5265.1425897 -6743.8591416  30  17 -2.2336772 -127.980276  8555.77949
#> 1936 -5253.7511569 -6727.9111357  30  18 -2.2337750 -127.985883  8536.19877
#> 1937 -5229.8291481 -6702.8499836  30  19 -2.2333716 -127.962766  8501.72399
#> 1938 -5208.1854259 -6678.9279748  30  20 -2.2330943 -127.946878  8469.54983
#> 1939 -5186.5417036 -6656.1451093  30  21 -2.2327319 -127.926115  8438.27486
#> 1940 -5171.7328410 -6640.1971034  30  22 -2.2325087 -127.913324  8416.59303
#> 1941 -5153.5065486 -6619.6925244  30  23 -2.2322965 -127.901167  8389.21682
#> 1942 -5129.5845398 -6595.7705156  30  24 -2.2317961 -127.872498  8355.64637
#> 1943 -5106.8016742 -6567.2919337  30  25 -2.2317359 -127.869047  8319.17945
#> 1944 -5089.7145251 -6542.2307816  30  26 -2.2319645 -127.882147  8288.90690
#> 1945 -5072.6273759 -6522.8653459  30  27 -2.2317714 -127.871085  8263.13021
#> 1946 -5054.4010835 -6497.8041938  30  28 -2.2318926 -127.878024  8232.15826
#> 1947 -5039.5922209 -6481.8561879  30  29 -2.2316615 -127.864785  8210.47802
#> 1948 -5021.3659284 -6461.3516089  30  30 -2.2314411 -127.852159  8183.10335
#> 1949 -5006.5570658 -6443.1253165  30  31 -2.2313788 -127.848586  8159.62484
#> 1950 -4992.8873465 -6422.6207375  30  32 -2.2315984 -127.861172  8135.04648
#> 1951 -4976.9393406 -6406.6727316  30  33 -2.2312529 -127.841377  8112.66791
#> 1952 -4959.8521915 -6387.3072959  30  34 -2.2310534 -127.829944  8086.89237
#> 1953 -4945.0433289 -6371.9288617  30  35 -2.2307726 -127.813857  8065.66370
#> 1954 -4936.4997543 -6358.8287140  30  36 -2.2309319 -127.822983  8050.07655
#> 1955 -4923.3996066 -6344.5894230  30  37 -2.2307307 -127.811453  8030.79564
#> 1956 -4909.7298873 -6327.5022739  30  38 -2.2306902 -127.809135  8008.91582
#> 1957 -5157.4935500 -7616.4428918  31   1 -2.1660233 -124.103992  9198.36627
#> 1958 -5124.4583950 -7568.5988741  31   2 -2.1659655 -124.100684  9140.22772
#> 1959 -5100.5363862 -7533.2854325  31   3 -2.1659644 -124.100619  9097.57445
#> 1960 -5075.4752341 -7495.6937044  31   4 -2.1660002 -124.102668  9052.39598
#> 1961 -5058.3880849 -7470.6325523  31   5 -2.1659894 -124.102049  9022.06411
#> 1962 -5035.6052194 -7434.1799674  31   6 -2.1661645 -124.112084  8979.10640
#> 1963 -5011.6832106 -7400.0056691  31   7 -2.1660928 -124.107977  8937.39629
#> 1964 -4985.4829152 -7357.8573679  31   8 -2.1663113 -124.120493  8887.80653
#> 1965 -4959.2826199 -7315.7090666  31   9 -2.1665322 -124.133149  8838.21720
#> 1966 -4926.2474648 -7270.1433356  31  10 -2.1663299 -124.121558  8781.96437
#> 1967 -4898.9080262 -7233.6907507  31  11 -2.1660798 -124.107229  8736.45132
#> 1968 -4882.9600203 -7208.6295986  31  12 -2.1661772 -124.112810  8706.75825
#> 1969 -4864.7337279 -7181.2901600  31  13 -2.1662051 -124.114412  8673.90123
#> 1970 -4845.3682922 -7155.0898646  31  14 -2.1660502 -124.105536  8641.34856
#> 1971 -4827.1419997 -7128.8895692  31  15 -2.1660037 -124.102871  8609.43473
#> 1972 -4814.6114237 -7108.3849902  31  16 -2.1661342 -124.110350  8585.43070
#> 1973 -4805.4982775 -7092.4369844  31  17 -2.1662974 -124.119701  8567.11597
#> 1974 -4795.2459880 -7076.4889785  31  18 -2.1663510 -124.122771  8548.16240
#> 1975 -4775.8805523 -7050.2886831  31  19 -2.1661944 -124.113796  8515.60952
#> 1976 -4761.0716897 -7025.2275310  31  20 -2.1664059 -124.125913  8486.55557
#> 1977 -4746.2628271 -7003.5838088  31  21 -2.1663921 -124.125124  8460.33078
#> 1978 -4730.3148212 -6984.2183730  31  22 -2.1661149 -124.109244  8435.35326
#> 1979 -4715.5059586 -6961.4355075  31  23 -2.1661762 -124.112751  8408.18534
#> 1980 -5928.6935485 -7044.5929667  32   1 -2.2703905 -130.083794  9207.37190
#> 1981 -5896.7975368 -7000.1663789  32   2 -2.2708497 -130.110104  9152.84385
#> 1982 -5868.3189549 -6971.6877970  32   3 -2.2704730 -130.088519  9112.71629
#> 1983 -5840.9795162 -6944.3483584  32   4 -2.2701082 -130.067617  9074.19505
#> 1984 -5813.6400776 -6919.2872063  32   5 -2.2695781 -130.037244  9037.41923
#> 1985 -5773.7700629 -6885.1129080  32   6 -2.2686275 -129.982779  8985.61075
#> 1986 -5730.4826184 -6850.9386096  32   7 -2.2673724 -129.910870  8931.61748
#> 1987 -5687.1951738 -6809.9294517  32   8 -2.2665956 -129.866363  8872.39134
#> 1988 -5645.0468726 -6778.0334399  32   9 -2.2652460 -129.789033  8820.90083
#> 1989 -5602.8985713 -6744.9982849  32  10 -2.2639634 -129.715550  8768.55029
#> 1990 -5568.7242730 -6715.3805597  32  11 -2.2631195 -129.667195  8723.93409
#> 1991 -5550.4979806 -6697.1542673  32  12 -2.2628441 -129.651414  8698.27012
#> 1992 -5529.9934016 -6677.7888315  32  13 -2.2624485 -129.628748  8670.27628
#> 1993 -5503.7931062 -6652.7276795  32  14 -2.2619626 -129.600911  8634.26454
#> 1994 -5476.4536676 -6628.8056706  32  15 -2.2612862 -129.562153  8598.40738
#> 1995 -5453.6708021 -6611.7185215  32  16 -2.2605066 -129.517490  8570.72617
#> 1996 -5436.5836529 -6596.9096589  32  17 -2.2600670 -129.492299  8548.43020
#> 1997 -5418.3573605 -6578.6833665  32  18 -2.2597767 -129.475668  8522.77369
#> 1998 -5392.1570651 -6552.4830711  32  19 -2.2593564 -129.451583  8485.89372
#> 1999 -5368.2350563 -6529.7002055  32  20 -2.2588838 -129.424506  8453.10194
#> 2000 -5347.7304773 -6511.4739131  32  21 -2.2583777 -129.395510  8426.00224
#> 2001 -5331.7824714 -6490.9693341  32  22 -2.2584597 -129.400212  8400.03495
#> 2002 -5310.1387492 -6470.4647551  32  23 -2.2580165 -129.374818  8370.45325
#> 2003 -5287.3558836 -6446.5427463  32  24 -2.2577244 -129.358081  8337.50836
#> 2004 -5266.8513046 -6421.4815942  32  25 -2.2577291 -129.358348  8305.12785
#> 2005 -5254.3207286 -6403.2553018  32  26 -2.2579549 -129.371283  8283.08908
#> 2006 -5229.2595765 -6380.4724363  32  27 -2.2573583 -129.337103  8249.58085
#> 2007 -5205.3375677 -6359.9678573  32  28 -2.2566885 -129.298728  8218.56011
#> 2008 -6133.7393384 -6805.3728786  33   1 -2.3043338 -132.028601  9161.65150
#> 2009 -6100.7041834 -6774.6160101  33   2 -2.3039008 -132.003795  9116.68874
#> 2010 -6073.3647447 -6748.4157147  33   3 -2.3035943 -131.986230  9078.92472
#> 2011 -6041.4687330 -6721.0762761  33   4 -2.3029946 -131.951870  9037.26788
#> 2012 -6011.8510078 -6697.1542673  33   5 -2.3023240 -131.913449  8999.67932
#> 2013 -5973.1201363 -6666.3973988  33   6 -2.3013994 -131.860474  8950.92277
#> 2014 -5930.9718351 -6632.2231005  33   7 -2.3004344 -131.805185  8897.34849
#> 2015 -5894.5192502 -6599.1879454  33   8 -2.2998523 -131.771830  8848.42578
#> 2016 -5852.3709490 -6565.0136471  33   9 -2.2988667 -131.715357  8794.86497
#> 2017 -5807.9443612 -6533.1176354  33  10 -2.2975010 -131.637109  8741.50123
#> 2018 -5772.6309196 -6503.4999102  33  11 -2.2967289 -131.592873  8695.90587
#> 2019 -5754.4046272 -6482.9953312  33  12 -2.2967267 -131.592744  8668.47167
#> 2020 -5732.7609049 -6462.4907522  33  13 -2.2964285 -131.575663  8638.76926
#> 2021 -5706.5606095 -6444.2644598  33  14 -2.2955567 -131.525709  8607.75107
#> 2022 -5679.2211709 -6423.7598808  33  15 -2.2947549 -131.479773  8574.27805
#> 2023 -5656.4383053 -6403.2553018  33  16 -2.2943468 -131.456387  8543.82659
#> 2024 -5637.0728696 -6385.0290094  33  17 -2.2940595 -131.439927  8517.34618
#> 2025 -5621.1248638 -6367.9418602  33  18 -2.2939834 -131.435565  8493.98189
#> 2026 -5591.5071386 -6345.1589947  33  19 -2.2931406 -131.387280  8457.30422
#> 2027 -5567.5851297 -6321.2369859  33  20 -2.2928876 -131.372780  8423.54089
#> 2028 -5545.9414075 -6300.7324069  33  21 -2.2925672 -131.354423  8393.84864
#> 2029 -5525.4368285 -6284.7844010  33  22 -2.2919871 -131.321186  8368.33120
#> 2030 -5508.3496793 -6268.8363951  33  23 -2.2917111 -131.305376  8345.07196
#> 2031 -5485.5668138 -6246.0535296  33  24 -2.2914614 -131.291066  8312.91934
#> 2032 -5459.3665184 -6223.2706640  33  25 -2.2908995 -131.258870  8278.51318
#> 2033 -5446.8359424 -6207.3226582  33  26 -2.2910323 -131.266484  8258.26110
#> 2034 -5427.4705067 -6189.0963657  33  27 -2.2907244 -131.248842  8231.78899
#> 2035 -5401.2702113 -6167.4526435  33  28 -2.2900623 -131.210904  8198.24323
#> 2036 -6478.8997513 -6290.4801174  34   1 -2.3709490 -135.845371  9030.29801
#> 2037 -6440.1688799 -6271.1146817  34   2 -2.3694932 -135.761962  8989.02968
#> 2038 -6407.1337249 -6255.1666758  34   3 -2.3681954 -135.687604  8954.24328
#> 2039 -6372.9594266 -6242.6360997  34   4 -2.3665245 -135.591864  8921.04912
#> 2040 -6347.8982745 -6230.1055237  34   5 -2.3655592 -135.536558  8894.38179
#> 2041 -6305.7499732 -6210.7400880  34   6 -2.3637851 -135.434911  8850.74998
#> 2042 -6262.4625287 -6187.9572225  34   7 -2.3621786 -135.342863  8803.93387
#> 2043 -6220.3142274 -6169.7309300  34   8 -2.3602770 -135.233913  8761.15796
#> 2044 -6173.6093531 -6145.8089212  34   9 -2.3584511 -135.129295  8711.16638
#> 2045 -6128.0436220 -6120.7477691  34  10 -2.3567901 -135.034128  8661.20499
#> 2046 -6084.7561775 -6097.9649036  34  11 -2.3551103 -134.937879  8614.48975
#> 2047 -6063.1124552 -6083.1560410  34  12 -2.3545443 -134.905451  8588.72051
#> 2048 -6042.6078762 -6069.4863217  34  13 -2.3539754 -134.872853  8564.56503
#> 2049 -6014.1292943 -6052.3991725  34  14 -2.3530229 -134.818283  8532.36702
#> 2050 -5986.7898557 -6037.5903099  34  15 -2.3519697 -134.757939  8502.59663
#> 2051 -5965.1461334 -6020.5031607  34  16 -2.3515759 -134.735375  8475.22429
#> 2052 -5945.7806977 -6005.6942981  34  17 -2.3511815 -134.712775  8451.07520
#> 2053 -5926.4152620 -5995.4420086  34  18 -2.3504046 -134.668265  8430.16742
#> 2054 -5896.7975368 -5977.2157162  34  19 -2.3494220 -134.611963  8396.38785
#> 2055 -5869.4580981 -5962.4068536  34  20 -2.3483389 -134.549905  8366.65010
#> 2056 -5847.8143759 -5947.5979910  34  21 -2.3477352 -134.515316  8340.91451
#> 2057 -5830.7272267 -5937.3457015  34  22 -2.3471348 -134.480916  8321.62568
#> 2058 -5807.9443612 -5920.2585524  34  23 -2.3466184 -134.451328  8293.47207
#> 2059 -6686.2238277 -5808.6225112  35   1 -2.4263164 -139.017689  8856.95684
#> 2060 -6649.7712429 -5791.5353621  35   2 -2.4250682 -138.946170  8818.23902
#> 2061 -6617.8752311 -5776.7264995  35   3 -2.4239547 -138.882375  8784.46593
#> 2062 -6591.6749357 -5765.3350667  35   4 -2.4229672 -138.825796  8757.24083
#> 2063 -6573.4486433 -5756.2219205  35   5 -2.4223790 -138.792093  8737.52355
#> 2064 -6532.4394853 -5744.8304877  35   6 -2.4202585 -138.670598  8699.18634
#> 2065 -6494.8477572 -5728.8824818  35   7 -2.4187748 -138.585589  8660.43543
#> 2066 -6460.6734589 -5715.2127625  35   8 -2.4173425 -138.503524  8625.77292
#> 2067 -6413.9685845 -5698.1256134  35   9 -2.4152273 -138.382332  8579.48883
#> 2068 -6375.2377131 -5684.4558940  35  10 -2.4134122 -138.278332  8541.46912
#> 2069 -6335.3676984 -5668.5078882  35  11 -2.4116912 -138.179725  8501.10967
#> 2070 -6318.2805493 -5661.6730285  35  12 -2.4109486 -138.137177  8483.82052
#> 2071 -6298.9151136 -5652.5598823  35  13 -2.4102235 -138.095633  8463.31878
#> 2072 -6273.8539615 -5642.3075928  35  14 -2.4091441 -138.033789  8437.82428
#> 2073 -6246.5145228 -5630.9161600  35  15 -2.4079774 -137.966943  8409.88469
#> 2074 -6226.0099438 -5621.8030138  35  16 -2.4071477 -137.919403  8388.55583
#> 2075 -6207.7836514 -5611.5507243  35  17 -2.4065973 -137.887870  8368.15866
#> 2076 -6192.9747888 -5604.7158647  35  18 -2.4060154 -137.854530  8352.59101
#> 2077 -6167.9136367 -5592.1852886  35  19 -2.4051115 -137.802739  8325.60478
#> 2078 -6145.1307712 -5583.0721424  35  20 -2.4040815 -137.743725  8302.60963
#> 2079 -6124.6261922 -5571.6807096  35  21 -2.4034345 -137.706655  8279.77487
#> 2080 -6107.5390430 -5563.7067067  35  22 -2.4027567 -137.667819  8261.77133
#> 2081 -6087.0344640 -5554.5935605  35  23 -2.4018986 -137.618652  8240.47925
#> 2082 -6053.9993090 -5537.5064113  35  24 -2.4007229 -137.551291  8204.56488
#> 2083 -6022.1032973 -5518.1409756  35  25 -2.3998367 -137.500517  8167.96229
#> 2084 -5998.1812884 -5505.6103996  35  26 -2.3989865 -137.451801  8141.86248
#> 2085 -5965.1461334 -5491.9406802  35  27 -2.3974735 -137.365110  8108.29087
#> 2086 -5930.9718351 -5477.1318176  35  28 -2.3959558 -137.278154  8073.12826
#> 2087 -6793.3032957 -5531.8106949  36   1 -2.4581907 -140.843953  8760.70198
#> 2088 -6768.2421437 -5520.4192622  36   2 -2.4573903 -140.798090  8734.07869
#> 2089 -6738.6244185 -5510.1669727  36   3 -2.4561524 -140.727165  8704.65388
#> 2090 -6716.9806962 -5503.3321130  36   4 -2.4551839 -140.671677  8683.57611
#> 2091 -6695.3369739 -5496.4972533  36   5 -2.4542108 -140.615919  8662.50652
#> 2092 -6658.8843891 -5483.9666773  36   6 -2.4526522 -140.526620  8626.39159
#> 2093 -6620.1535177 -5472.5752445  36   7 -2.4508094 -140.421032  8589.26728
#> 2094 -6588.2575059 -5458.9055252  36   8 -2.4496655 -140.355497  8555.97958
#> 2095 -6541.5526315 -5444.0966626  36   9 -2.4475040 -140.231652  8510.58748
#> 2096 -6501.6826168 -5432.7052298  36  10 -2.4455273 -140.118392  8472.67154
#> 2097 -6469.7866051 -5417.8963672  36  11 -2.4444504 -140.056689  8438.70486
#> 2098 -6456.1168858 -5412.2006508  36  12 -2.4439269 -140.026699  8424.56890
#> 2099 -6437.8905933 -5403.0875046  36  13 -2.4433647 -139.994486  8404.74806
#> 2100 -6415.1077278 -5395.1135017  36  14 -2.4423461 -139.936123  8382.17495
#> 2101 -6390.0465757 -5383.7220689  36  15 -2.4414590 -139.885297  8355.66625
#> 2102 -6369.5419967 -5378.0263525  36  16 -2.4403967 -139.824431  8336.32009
#> 2103 -6354.7331341 -5368.9132063  36  17 -2.4400853 -139.806589  8319.12629
#> 2104 -6341.0634148 -5364.3566332  36  18 -2.4394422 -139.769743  8305.74544
#> 2105 -6313.7239762 -5352.9652004  36  19 -2.4383597 -139.707719  8277.52058
#> 2106 -6296.6368270 -5346.1303408  36  20 -2.4376531 -139.667232  8260.06931
#> 2107 -6276.1322480 -5335.8780513  36  21 -2.4369908 -139.629286  8237.80496
#> 2108 -6257.9059556 -5327.9040484  36  22 -2.4362935 -139.589336  8218.75590
#> 2109 -6235.1230900 -5323.3474752  36  23 -2.4349152 -139.510367  8198.46256
#> 2110 -6544.4004897 -5337.0171946  37  10 -2.4574663 -140.802448  8444.69835
#> 2111 -6514.2131929 -5324.4866185  37  11 -2.4563529 -140.738655  8413.39000
#> 2112 -6501.6826168 -5318.2213305  37  12 -2.4559864 -140.717652  8399.72351
#> 2113 -6481.7476095 -5310.2473276  37  13 -2.4552166 -140.673552  8379.24691
#> 2114 -6458.3951723 -5300.5646097  37  14 -2.4543418 -140.623427  8355.04957
#> 2115 -6435.0427351 -5290.8818919  37  15 -2.4534619 -140.573012  8330.85867
#> 2116 -6417.9555860 -5282.3383173  37  16 -2.4529503 -140.543699  8312.23508
#> 2117 -6402.0075801 -5274.3643143  37  17 -2.4524707 -140.516221  8294.85503
#> 2118 -6388.9074324 -5267.5294547  37  18 -2.4521018 -140.495085  8280.39883
#> 2119 -6363.8462803 -5257.8467368  37  19 -2.4510756 -140.436285  8254.90713
#> 2120 -6346.1895595 -5250.4423055  37  20 -2.4504032 -140.397761  8236.58099
#> 2121 -6324.5458373 -5241.8987309  37  21 -2.4495250 -140.347442  8214.46178
#> 2122 -6306.8891165 -5232.2160131  37  22 -2.4490598 -140.320788  8194.68942
#> 2123 -6287.5236808 -5223.6724385  37  23 -2.4483515 -140.280210  8174.33225
#> 2124 -6564.3354971 -5239.0508728  38  10 -2.4680062 -141.406341  8398.69958
#> 2125 -6535.2873435 -5224.8115818  38  11 -2.4671707 -141.358470  8367.11639
#> 2126 -6521.0480526 -5218.5462938  38  12 -2.4666920 -141.331043  8352.08316
#> 2127 -6502.2521885 -5207.7244326  38  13 -2.4662966 -141.308383  8330.64687
#> 2128 -6478.3301797 -5196.3329999  38  14 -2.4655665 -141.266554  8304.85632
#> 2129 -6453.8385992 -5184.3719955  38  15 -2.4648424 -141.225068  8278.26948
#> 2130 -6435.6123068 -5172.9805627  38  16 -2.4645356 -141.207488  8256.92641
#> 2131 -6420.2338725 -5167.2848463  38  17 -2.4639052 -141.171369  8241.37341
#> 2132 -6405.9945816 -5160.4499866  38  18 -2.4634671 -141.146271  8225.99603
#> 2133 -6383.2117160 -5147.3498390  38  19 -2.4629683 -141.117688  8200.03672
#> 2134 -6361.5679938 -5136.5279778  38  20 -2.4623369 -141.081514  8176.39695
#> 2135 -6342.2025581 -5126.2756883  38  21 -2.4618233 -141.052083  8154.89029
#> 2136 -6325.1154089 -5117.1625421  38  22 -2.4613742 -141.026352  8135.87349
#> 2137 -6304.0412583 -5104.6319661  38  23 -2.4609411 -141.001537  8111.60919
#> 2138 -6709.0066933 -4978.1870623  39  10 -2.5032212 -143.424012  8354.22751
#> 2139 -6683.9455412 -4965.0869146  39  11 -2.5026912 -143.393642  8326.29666
#> 2140 -6669.7062502 -4959.9607699  39  12 -2.5021647 -143.363477  8311.81041
#> 2141 -6648.6320996 -4953.1259102  39  13 -2.5013094 -143.314471  8290.82415
#> 2142 -6628.1275206 -4945.7214789  39  14 -2.5005461 -143.270740  8269.95982
#> 2143 -6605.3446551 -4938.8866193  39  15 -2.4995583 -143.214143  8247.61657
#> 2144 -6591.1053641 -4931.4821880  39  16 -2.4992429 -143.196069  8231.77906
#> 2145 -6578.0052164 -4926.3560432  39  17 -2.4987874 -143.169969  8218.21979
#> 2146 -6566.6137836 -4922.9386134  39  18 -2.4982886 -143.141394  8207.05435
#> 2147 -6544.9700614 -4916.1037537  39  19 -2.4973707 -143.088798  8185.64043
#> 2148 -6525.0350540 -4908.1297508  39  20 -2.4966852 -143.049524  8164.91397
#> 2149 -6506.2391900 -4901.8644628  39  21 -2.4959128 -143.005271  8146.12936
#> 2150 -6486.8737542 -4894.4600315  39  22 -2.4952066 -142.964806  8126.20884
#> 2151 -6463.5213171 -4885.9164569  39  23 -2.4943124 -142.913572  8102.42479
#> 2152 -7260.9216109 -4340.2668272  40   1 -2.6028240 -149.130832  8459.24930
#> 2153 -7227.8864559 -4335.7102541  40   2 -2.6012771 -149.042199  8428.56607
#> 2154 -7197.1295874 -4325.4579646  40   3 -2.6004399 -148.994232  8396.91973
#> 2155 -7169.7901488 -4322.0405348  40   4 -2.5991076 -148.917894  8371.73370
#> 2156 -7148.1464265 -4311.7882453  40   5 -2.5988208 -148.901465  8347.90484
#> 2157 -7110.5546984 -4302.6750991  40   6 -2.5974235 -148.821405  8311.01685
#> 2158 -7069.5455404 -4291.2836663  40   7 -2.5960348 -148.741837  8270.04170
#> 2159 -7033.0929555 -4281.0313768  40   8 -2.5948019 -148.671199  8233.56704
#> 2160 -6987.5272245 -4269.6399441  40   9 -2.5930970 -148.573513  8188.73384
#> 2161 -6947.6572098 -4259.3876546  40  10 -2.5916196 -148.488863  8149.37568
#> 2162 -7320.1570613 -4078.2638735  41   1 -2.6332934 -150.876600  8379.55462
#> 2163 -7289.4001929 -4070.2898706  41   2 -2.6323348 -150.821675  8348.80918
#> 2164 -7256.3650378 -4064.5941542  41   3 -2.6309963 -150.744984  8317.19660
#> 2165 -7232.4430290 -4057.7592945  41   4 -2.6303057 -150.705413  8292.98756
#> 2166 -7208.5210202 -4054.3418647  41   5 -2.6292507 -150.644971  8270.45726
#> 2167 -7170.9292921 -4044.0895752  41   6 -2.6280977 -150.578908  8232.67195
#> 2168 -7133.3375639 -4036.1155723  41   7 -2.6266921 -150.498373  8196.01938
#> 2169 -7096.8849791 -4028.1415693  41   8 -2.6253428 -150.421063  8160.37382
#> 2170 -7053.5975345 -4017.8892799  41   9 -2.6238089 -150.333179  8117.67654
#> 2171 -7010.3100900 -4004.2195605  41  10 -2.6226263 -150.265421  8073.30303
#> 2172 -6980.6923648 -3998.5238441  41  11 -2.6214151 -150.196022  8044.76593
#> 2173 -6964.7443589 -3998.5238441  41  12 -2.6204281 -150.139470  8030.93126
#> 2174 -6943.1006367 -3991.6889845  41  13 -2.6198227 -150.104781  8008.75942
#> 2175 -6921.4569144 -3983.7149815  41  14 -2.6193375 -150.076983  7986.02222
#> 2176 -6903.2306220 -3979.1584084  41  15 -2.6186921 -150.040003  7967.95423
#> 2177 -6888.4217594 -3974.6018353  41  16 -2.6182585 -150.015163  7952.84943
#> 2178 -6875.8911833 -3971.1844055  41  17 -2.6178426 -149.991334  7940.28873
#> 2179 -6864.4997506 -3968.9061189  41  18 -2.6173729 -149.964422  7929.28576
#> 2180 -6845.1343149 -3963.2104026  41  19 -2.6167709 -149.929926  7909.67133
#> 2181 -6826.9080224 -3956.3755429  41  20 -2.6163631 -149.906563  7890.47404
#> 2182 -6811.8143740 -3951.8189698  41  21 -2.6159027 -149.880183  7875.13100
#> 2183 -6798.7142263 -3947.5471825  41  22 -2.6155365 -149.859203  7861.65656
#> 2184 -6779.3487906 -3940.9971087  41  23 -2.6150188 -149.829542  7841.62153
#> 2185 -7463.1195426 -3448.0328556  42   1 -2.7087965 -155.202610  8221.13641
#> 2186 -7430.0843876 -3444.6154257  42   2 -2.7074836 -155.127381  8189.72096
#> 2187 -7398.1883758 -3436.6414228  42   3 -2.7067258 -155.083966  8157.43192
#> 2188 -7370.9994287 -3433.1311706  42   4 -2.7057087 -155.025687  8131.29893
#> 2189 -7351.6145279 -3428.2849454  42   5 -2.7052413 -154.998907  8111.68132
#> 2190 -7316.9986335 -3422.0540844  42   6 -2.7041292 -154.935190  8077.68056
#> 2191 -7280.3057856 -3415.8232234  42   7 -2.7028981 -154.864651  8041.80954
#> 2192 -7247.0745270 -3410.9769982  42   8 -2.7016835 -154.795064  8009.67248
#> 2193 -7205.5354538 -3403.3615015  42   9 -2.7003283 -154.717418  7968.85253
#> 2194 -7163.3040628 -3395.0536868  42  10 -2.6990007 -154.641350  7927.12524
#> 2195 -7135.6113473 -3389.5151437  42  11 -2.6981329 -154.591628  7899.73178
#> 2196 -7121.0726717 -3386.7458722  42  12 -2.6976590 -154.564478  7885.41208
#> 2197 -7094.0722741 -3382.5919649  42  13 -2.6966608 -154.507284  7859.24868
#> 2198 -7074.6873733 -3379.8226933  42  14 -2.6959155 -154.464581  7840.56139
#> 2199 -7054.6101546 -3377.7457397  42  15 -2.6950486 -154.414911  7821.55296
#> 2200 -7037.3022074 -3377.0534218  42  16 -2.6941710 -154.364630  7805.64617
#> 2201 -7025.5328034 -3375.6687860  42  17 -2.6936779 -154.336376  7794.43718
#> 2202 -7013.0710814 -3374.2841502  42  18 -2.6931448 -154.305831  7782.60622
#> 2203 -6995.0708164 -3372.2071966  42  19 -2.6923808 -154.262058  7765.48756
#> 2204 -6974.9935977 -3368.7456071  42  20 -2.6916578 -154.220632  7745.90102
#> 2205 -6959.0702863 -3367.3609714  42  21 -2.6909233 -154.178548  7730.96237
#> 2206 -6946.6085643 -3367.3609714  42  22 -2.6902202 -154.138262  7719.74679
#> 2207 -6931.3775708 -3363.8993819  42  23 -2.6897622 -154.112020  7704.53205
#> 2208 -7508.6852737 -3049.9022803  43   1 -2.7557673 -157.893834  8104.45917
#> 2209 -7474.8471116 -3043.3562005  43   2 -2.7549409 -157.846487  8070.64782
#> 2210 -7441.6158531 -3038.5099753  43   3 -2.7539403 -157.789158  8038.04637
#> 2211 -7416.0000913 -3035.7407038  43   4 -2.7530519 -157.738254  8013.28765
#> 2212 -7400.0767799 -3035.0483859  43   5 -2.7523778 -157.699631  7998.29076
#> 2213 -7364.0762498 -3030.2021607  43   6 -2.7512253 -157.633601  7963.14914
#> 2214 -7328.7680376 -3023.9712997  43   7 -2.7502574 -157.578144  7928.12988
#> 2215 -7294.1521433 -3021.2020282  43   8 -2.7489093 -157.500903  7895.08184
#> 2216 -7252.6130701 -3018.4327566  43   9 -2.7472115 -157.403627  7855.65609
#> 2217 -7214.5355863 -3012.2018957  43  10 -2.7460760 -157.338562  7818.11256
#> 2218 -7186.1505530 -3008.0479883  43  11 -2.7451642 -157.286321  7790.32172
#> 2219 -7171.6118774 -3008.7403062  43  12 -2.7443602 -157.240258  7777.18041
#> 2220 -7146.6884335 -3004.5863989  43  13 -2.7436106 -157.197307  7752.59279
#> 2221 -7125.2265790 -3001.8171274  43  14 -2.7428650 -157.154587  7731.73718
#> 2222 -7104.4570424 -2999.0478558  43  15 -2.7421502 -157.113636  7711.52371
#> 2223 -7087.8414131 -2998.3555379  43  16 -2.7413935 -157.070276  7695.94905
#> 2224 -7078.1489627 -2997.6632200  43  17 -2.7409852 -157.046882  7686.75338
#> 2225 -7063.6102871 -2996.2785843  43  18 -2.7404124 -157.014064  7672.82710
#> 2226 -7046.3023400 -2995.5862664  43  19 -2.7396129 -156.968256  7656.62548
#> 2227 -7026.2251212 -2994.2016306  43  20 -2.7387513 -156.918889  7637.60976
#> 2228 -7009.6094920 -2993.5093127  43  21 -2.7379802 -156.874711  7622.05505
#> 2229 -6996.4554521 -2993.5093127  43  22 -2.7373013 -156.835814  7609.95972
#> 2230 -6981.2244586 -2991.4323591  43  23 -2.7367639 -156.805022  7595.14072
#> 2231 -7551.0020791 -2387.7311621  44   1 -2.8353280 -162.452326  7919.52603
#> 2232 -7516.3861848 -2375.2694402  44   2 -2.8355113 -162.462830  7882.76387
#> 2233 -7487.3088336 -2371.1155329  44   3 -2.8349000 -162.427806  7853.78778
#> 2234 -7466.5392970 -2372.5001686  44   4 -2.8339312 -162.372294  7834.40911
#> 2235 -7447.1543962 -2371.1155329  44   5 -2.8333489 -162.338933  7815.51646
#> 2236 -7415.3077734 -2369.7308971  44   6 -2.8322772 -162.277533  7784.75522
#> 2237 -7382.0765149 -2368.3462613  44   7 -2.8311426 -162.212520  7752.68455
#> 2238 -7351.6145279 -2368.3462613  44   8 -2.8299377 -162.143488  7723.68437
#> 2239 -7319.7679051 -2366.9616255  44   9 -2.8288397 -162.080574  7692.95194
#> 2240 -7283.7673750 -2361.4230824  44  10 -2.8280813 -162.037123  7656.99590
#> 2241 -7260.2285668 -2359.3461288  44  11 -2.8273892 -161.997467  7633.96575
#> 2242 -7245.6898912 -2357.9614930  44  12 -2.8269723 -161.973582  7619.71157
#> 2243 -7222.1510831 -2356.5768572  44  13 -2.8261868 -161.928575  7596.90205
#> 2244 -7200.6892286 -2357.2691751  44  14 -2.8252212 -161.873253  7576.71719
#> 2245 -7179.9196920 -2356.5768572  44  15 -2.8244532 -161.829248  7556.76526
#> 2246 -7163.3040628 -2355.8845394  44  16 -2.8238533 -161.794875  7540.76369
#> 2247 -7147.3807514 -2353.8075857  44  17 -2.8234544 -161.772020  7524.98915
#> 2248 -7132.8420758 -2353.1152678  44  18 -2.8229365 -161.742345  7510.96449
#> 2249 -7111.3802213 -2353.1152678  44  19 -2.8220388 -161.690914  7490.58610
#> 2250 -7088.5337310 -2353.1152678  44  20 -2.8210779 -161.635857  7468.89965
#> 2251 -7067.0718765 -2349.6536784  44  21 -2.8206111 -161.609112  7447.44099
#> 2252 -7053.2255188 -2349.6536784  44  22 -2.8200235 -161.575444  7434.30310
#> 2253 -7040.7637969 -2347.5767247  44  23 -2.8197583 -161.560251  7421.82399
#> 2254 -7014.4557172 -2346.1920889  44  24 -2.8188108 -161.505965  7396.43200
#> 2255 -6993.6861806 -2345.4997711  44  25 -2.8180067 -161.459892  7376.51785
#> 2256 -6972.9166440 -2344.1151353  44  26 -2.8172874 -161.418680  7356.38786
#> 2257 -6950.7624716 -2344.1151353  44  27 -2.8163251 -161.363540  7335.39193
#> 2258 -6933.4545245 -2342.0381816  44  28 -2.8158382 -161.335645  7318.32867
#> 2259 -7566.2330726 -1935.6475823  45   1 -2.8911372 -165.649960  7809.90490
#> 2260 -7535.6058563 -1927.2835877  45   2 -2.8912031 -165.653733  7778.16030
#> 2261 -7501.2782856 -1925.4280433  45   3 -2.8903369 -165.604105  7744.44634
#> 2262 -7481.7950698 -1924.5002711  45   4 -2.8898262 -165.574844  7725.34522
#> 2263 -7462.3118540 -1924.5002711  45   5 -2.8891964 -165.538759  7706.47776
#> 2264 -7434.4786886 -1921.7169546  45   6 -2.8886422 -165.507007  7678.83256
#> 2265 -7407.5732953 -1921.7169546  45   7 -2.8877623 -165.456595  7652.78630
#> 2266 -7381.5956742 -1921.7169546  45   8 -2.8869071 -165.407594  7627.64385
#> 2267 -7353.7625088 -1920.7891824  45   9 -2.8861026 -165.361500  7600.47723
#> 2268 -7313.8683050 -1918.9336380  45  10 -2.8850067 -165.298709  7561.41362
#> 2269 -7291.6017726 -1914.2947771  45  11 -2.8848523 -165.289863  7538.69889
#> 2270 -7278.6129621 -1912.4392328  45  12 -2.8846526 -165.278417  7525.66479
#> 2271 -7255.4186575 -1912.4392328  45  13 -2.8838670 -165.233408  7503.23422
#> 2272 -7233.1521252 -1908.7281441  45  14 -2.8835880 -165.217425  7480.75750
#> 2273 -7208.1022763 -1905.9448275  45  15 -2.8830917 -165.188989  7455.82753
#> 2274 -7189.5468326 -1903.1615110  45  16 -2.8828158 -165.173176  7437.17738
#> 2275 -7175.6302499 -1901.3059666  45  17 -2.8825777 -165.159534  7423.24955
#> 2276 -7160.7858950 -1900.3781944  45  18 -2.8821855 -165.137066  7408.66330
#> 2277 -7139.4471348 -1898.5226501  45  19 -2.8816874 -165.108524  7387.56344
#> 2278 -7116.2528303 -1896.6671057  45  20 -2.8811215 -165.076102  7364.67246
#> 2279 -7098.6251589 -1894.8115613  45  21 -2.8807476 -165.054682  7347.16204
#> 2280 -7085.6363483 -1892.0282448  45  22 -2.8806576 -165.049521  7333.89483
#> 2281 -7069.8642212 -1890.1727004  45  23 -2.8803465 -165.031700  7318.17825
#> 2282 -7506.8449187 -1447.6253699  46   1 -2.9510904 -169.085025  7645.15139
#> 2283 -7472.5173480 -1446.6975977  46   2 -2.9503561 -169.042952  7611.27121
#> 2284 -7441.9008660 -1443.9142811  46   3 -2.9499489 -169.019622  7580.68446
#> 2285 -7424.2731946 -1442.0587368  46   4 -2.9497458 -169.007985  7563.02624
#> 2286 -7406.6455231 -1438.3476480  46   5 -2.9497832 -169.010126  7545.01437
#> 2287 -7382.5234464 -1439.2754202  46   6 -2.9490507 -168.968159  7521.51356
#> 2288 -7358.4013697 -1438.3476480  46   7 -2.9485565 -168.939844  7497.66061
#> 2289 -7335.2070651 -1435.5643315  46   8 -2.9483267 -168.926674  7474.36336
#> 2290 -7303.6628110 -1434.6365593  46   9 -2.9476350 -168.887046  7443.22998
#> 2291 -7267.4796959 -1429.0699262  46  10 -2.9474309 -168.875351  7406.65255
#> 2292 -7240.5743026 -1425.3588375  46  11 -2.9472209 -168.863318  7379.53685
#> 2293 -7227.5854921 -1426.2866097  46  12 -2.9467568 -168.836726  7366.97262
#> 2294 -7205.3189597 -1421.6477488  46  13 -2.9467895 -168.838600  7344.22927
#> 2295 -7183.0524274 -1419.7922044  46  14 -2.9464494 -168.819117  7322.02514
#> 2296 -7157.0748063 -1416.0811157  46  15 -2.9462580 -168.808149  7295.82110
#> 2297 -7140.3749070 -1415.1533435  46  16 -2.9459378 -168.789800  7279.25908
#> 2298 -7125.5305521 -1414.2255713  46  17 -2.9456658 -168.774217  7264.51785
#> 2299 -7110.6861972 -1409.5867104  46  18 -2.9458948 -168.787339  7249.05462
#> 2300 -7090.2752092 -1408.6589382  46  19 -2.9454717 -168.763095  7228.85347
#> 2301 -7070.7919934 -1406.8033939  46  20 -2.9451975 -168.747386  7209.38244
#> 2302 -7058.7309551 -1404.9478495  46  21 -2.9451233 -168.743137  7197.19120
#> 2303 -7047.5976889 -1404.9478495  46  22 -2.9448209 -168.725810  7186.27244
#> 2304 -7031.8255618 -1403.0923051  46  23 -2.9446447 -168.715711  7170.44202
#> 2305 -7495.7116525 -1190.6324756  47   1 -2.9840669 -170.974437  7589.68371
#> 2306 -7462.3118540 -1182.2825260  47   2 -2.9844649 -170.997240  7555.38816
#> 2307 -7434.4786886 -1179.4992094  47   3 -2.9842515 -170.985013  7527.46250
#> 2308 -7419.6343336 -1180.4269816  47   4 -2.9838199 -170.960287  7512.94759
#> 2309 -7404.7899787 -1175.7881207  47   5 -2.9841198 -170.977473  7497.55909
#> 2310 -7384.3789908 -1175.7881207  47   6 -2.9836918 -170.952946  7477.40134
#> 2311 -7364.8957749 -1176.7158929  47   7 -2.9831582 -170.922372  7458.30745
#> 2312 -7339.8459260 -1173.0048041  47   8 -2.9831195 -170.920155  7432.98584
#> 2313 -7312.0127606 -1170.2214876  47   9 -2.9828975 -170.907435  7405.06239
#> 2314 -7274.9018733 -1166.5103989  47  10 -2.9825988 -170.890326  7367.83169
#> 2315 -7252.6353410 -1163.7270823  47  11 -2.9824930 -170.884264  7345.40537
#> 2316 -7237.7909861 -1162.7993101  47  12 -2.9822972 -170.873042  7330.60165
#> 2317 -7214.5966815 -1161.8715380  47  13 -2.9819191 -170.851378  7307.55436
#> 2318 -7193.2579214 -1160.9437658  47  14 -2.9815791 -170.831901  7286.33996
#> 2319 -7169.1358446 -1157.2326771  47  15 -2.9815544 -170.830483  7261.93474
#> 2320 -7152.4359454 -1158.1604492  47  16 -2.9810607 -170.802197  7245.59698
#> 2321 -7140.3749070 -1157.2326771  47  17 -2.9809208 -170.794180  7233.54279
#> 2322 -7126.4583243 -1158.1604492  47  18 -2.9804856 -170.769245  7219.95456
#> 2323 -7107.9028807 -1156.3049049  47  19 -2.9803266 -170.760135  7201.34185
#> 2324 -7084.7085761 -1154.4493605  47  20 -2.9800629 -170.745027  7178.15080
#> 2325 -7072.6475378 -1153.5215883  47  21 -2.9799200 -170.736839  7166.09763
#> 2326 -7061.5142716 -1152.5938161  47  22 -2.9797975 -170.729820  7154.96026
#> 2327 -7044.8143723 -1148.8827274  47  23 -2.9799337 -170.737626  7137.88071
#> 2328 -7559.2640470  -656.6995851  48   1 -3.0549367 -175.034981  7587.73532
#> 2329 -7527.7197928  -655.0759838  48   2 -3.0547895 -175.026545  7556.16899
#> 2330 -7510.0921213  -653.2204395  48   3 -3.0548320 -175.028980  7538.44683
#> 2331 -7496.1755386  -651.3648951  48   4 -3.0549174 -175.033874  7524.42183
#> 2332 -7479.4756394  -648.5815786  48   5 -3.0550942 -175.044003  7507.54380
#> 2333 -7462.7757401  -645.7982620  48   6 -3.0552718 -175.054177  7490.66600
#> 2334 -7445.1480686  -643.0149455  48   7 -3.0554395 -175.063786  7472.86411
#> 2335 -7426.5926250  -641.1594011  48   8 -3.0554733 -175.065723  7454.21783
#> 2336 -7401.5427761  -640.2316289  48   9 -3.0553077 -175.056235  7429.18111
#> 2337 -7372.7818385  -636.5205402  48  10 -3.0554724 -175.065671  7400.20746
#> 2338 -7346.8042174  -633.7372237  48  11 -3.0555454 -175.069855  7374.08673
#> 2339 -7333.8154069  -632.8094515  48  12 -3.0555193 -175.068361  7361.06624
#> 2340 -7315.2599632  -631.8816793  48  13 -3.0554280 -175.063127  7342.49976
#> 2341 -7292.9934309  -628.1705906  48  14 -3.0556713 -175.077068  7319.99669
#> 2342 -7275.3657594  -626.3150462  48  15 -3.0557173 -175.079704  7302.27481
#> 2343 -7261.4491767  -625.3872740  48  16 -3.0556803 -175.077587  7288.32995
#> 2344 -7249.3881383  -624.9233879  48  17 -3.0556016 -175.073077  7276.27361
#> 2345 -7236.3993278  -624.4595018  48  18 -3.0555117 -175.067923  7263.29298
#> 2346 -7221.5549729  -622.1400714  48  19 -3.0556544 -175.076101  7248.30425
#> 2347 -7204.8550736  -622.1400714  48  20 -3.0554562 -175.064745  7231.66612
#> 2348 -7192.3301492  -620.2845270  48  21 -3.0555630 -175.070865  7219.02804
#> 2349 -7180.2691108  -619.8206409  48  22 -3.0554834 -175.066301  7206.97177
#> 2350 -7160.7858950  -618.8928687  48  23 -3.0553788 -175.060312  7187.48099
#> 2351 -7385.7706490  -467.6660032  49  10 -3.0783572 -176.376876  7400.56211
#> 2352 -7365.8235471  -465.3465727  49  11 -3.0785001 -176.385060  7380.50838
#> 2353 -7354.2263949  -464.4188005  49  12 -3.0785265 -176.386574  7368.87581
#> 2354 -7334.7431790  -462.0993701  49  13 -3.0786744 -176.395048  7349.28523
#> 2355 -7316.1877354  -461.6354840  49  14 -3.0785784 -176.389548  7330.73736
#> 2356 -7299.0239501  -461.1715979  49  15 -3.0784939 -176.384707  7313.57846
#> 2357 -7284.6434812  -460.2438257  49  16 -3.0784965 -176.384857  7299.16811
#> 2358 -7274.4379872  -457.9243953  49  17 -3.0787258 -176.397995  7288.83686
#> 2359 -7263.3047211  -457.9243953  49  18 -3.0786297 -176.392489  7277.72562
#> 2360 -7249.3881383  -456.0688509  49  19 -3.0787641 -176.400189  7263.71993
#> 2361 -7233.1521252  -455.6049648  49  20 -3.0786873 -176.395790  7247.48684
#> 2362 -7219.6994285  -454.6771926  49  21 -3.0786984 -176.396425  7234.00243
#> 2363 -7206.2467319  -452.8216483  49  22 -3.0788378 -176.404411  7220.45978
#> 2364 -7187.6912883  -450.5022178  49  23 -3.0789976 -176.413569  7201.79549
#> 2365 -6955.2843568  1526.1164148  50  38  2.9255973  167.624378  7120.74517
#> 2366 -6934.8733688  1522.4053261  50  39  2.9254917  167.618328  7100.01314
#> 2367 -6912.6068365  1518.6942374  50  40  2.9253293  167.609021  7077.46886
#> 2368 -6889.4125319  1514.0553765  50  41  2.9252660  167.605396  7053.81944
#> 2369 -6869.0015439  1511.2720599  50  42  2.9250296  167.591852  7033.28696
#> 2370 -6849.5183281  1506.6331990  50  43  2.9250787  167.594663  7013.26207
#> 2371 -6838.3850620  1662.4989255  51  43  2.9031065  166.335750  7037.57152
#> 2372 -6817.9740740  1657.8600646  51  44  2.9030617  166.333184  7016.64239
#> 2373 -6792.9242251  1649.5101150  51  45  2.9033757  166.351174  6990.32926
#> 2374 -6768.8021483  1645.7990262  51  46  2.9030763  166.334018  6966.01299
#> 2375 -6743.7522994  1638.3768488  51  47  2.9032627  166.344700  6939.91886
#> 2376 -6721.4857671  1632.8102157  51  48  2.9032848  166.345964  6916.96755
#> 2377 -6469.9235873  1633.6202768  52  58  2.8942676  165.829317  6672.97733
#> 2378 -6438.7772314  1625.0281786  52  59  2.8943738  165.835406  6640.67533
#> 2379 -6388.2986546  1614.2880559  52  60  2.8940796  165.818546  6589.10355
#> 2380 -6337.8200779  1600.3258964  52  61  2.8942585  165.828799  6536.74279
#> 2381 -6291.6375502  1590.6597859  52  62  2.8939604  165.811720  6489.59950
#> 2382 -6232.5668753  1579.9196632  52  63  2.8933280  165.775485  6429.69953
#> 2383 -6193.9024335  1568.1055282  52  64  2.8936334  165.792982  6389.31783
#> 2384 -6144.4978690  1565.9575037  52  65  2.8920496  165.702236  6340.90506
#> 2385 -6100.4633659  1553.0693564  52  66  2.8923060  165.716927  6295.05184
#> 2386 -6048.9107768  1543.4032460  52  67  2.8917692  165.686168  6242.70896
#> 2387 -6012.3943596  1534.8111478  52  68  2.8916559  165.679680  6205.20195
#> 2388 -5966.2118319  1520.8489883  52  69  2.8919979  165.699273  6157.00132
#> 2389 -5921.1033165  1513.3309024  52  70  2.8913667  165.663111  6111.43477
#> 2390 -5878.1428256  1502.5907797  52  71  2.8913284  165.660916  6067.15272
#> 2391 -5837.3303593  1492.9246692  52  72  2.8912052  165.653855  6025.21782
#> 2392 -5799.7399298  1484.3325710  52  73  2.8910398  165.644380  5986.67073
#> 2393 -5769.6675862  1473.5924483  52  74  2.8915350  165.672751  5954.87521
#> 2394 -5746.0393162  1466.0743624  52  75  2.8917773  165.686637  5930.12157
#> 2395 -5711.6709235  1456.4082520  52  76  2.8919248  165.695087  5894.43040
#> 2396 -5680.5245677  1446.7421415  52  77  2.8922098  165.711417  5861.86167
#> 2397 -5651.5262363  1439.2240556  52  78  2.8922319  165.712680  5831.90489
#> 2398 -5620.3798805  1426.3359084  52  79  2.8930602  165.760140  5798.54328
#> 2399 -5586.0114878  1417.7438102  52  80  2.8930384  165.758888  5763.11737
#> 2400 -5552.7171073  1408.0776998  52  81  2.8932441  165.770676  5728.46839
#> 2401 -5508.6826042  1396.2635648  52  82  2.8933546  165.777006  5682.88096
#> 2402 -5462.5000765  1383.3754175  52  83  2.8935580  165.788660  5634.94762
#> 2403 -5427.0576716  1374.7833193  52  84  2.8934915  165.784854  5598.48052
#> 2404 -5369.0610089  1359.7471475  52  85  2.8935518  165.788308  5538.56736
#> 2405 -5302.4722481  1343.6369635  52  86  2.8934182  165.780654  5470.06145
#> 2406 -5241.2535486  1328.6007917  52  87  2.8933328  165.775759  5407.02495
#> 2407 -5186.4789227  1318.9346812  52  88  2.8925687  165.731977  5351.55606
#> 2408 -7477.3470980  2776.3693338  53   1  2.7860662  159.629834  7976.14859
#> 2409 -7459.6258955  2770.4622663  53   2  2.7859869  159.625292  7957.47948
#> 2410 -7445.1267299  2766.1662172  53   3  2.7858584  159.617929  7942.39180
#> 2411 -7431.1645703  2760.2591497  53   4  2.7859435  159.622804  7927.24652
#> 2412 -7422.5724722  2756.5001067  53   5  2.7860107  159.626654  7917.88324
#> 2413 -7411.8323495  2752.2040577  53   6  2.7860471  159.628743  7906.31937
#> 2414 -7399.4812083  2747.3710024  53   7  2.7860765  159.630422  7893.05832
#> 2415 -7384.4450365  2742.0009411  53   8  2.7860511  159.628971  7877.09322
#> 2416 -7369.9458709  2736.6308797  53   9  2.7860495  159.628877  7861.63156
#> 2417 -7352.7616745  2732.3348306  53  10  2.7858003  159.614601  7844.02689
#> 2418 -7340.9475395  2726.9647693  53  11  2.7859176  159.621321  7831.08215
#> 2419 -7332.8924475  2724.2797386  53  12  2.7858808  159.619212  7822.59623
#> 2420 -7322.1523248  2719.9836895  53  13  2.7859175  159.621315  7811.03232
#> 2421 -7309.8011837  2715.1506343  53  14  2.7859470  159.623003  7797.77124
#> 2422 -7299.0610609  2711.3915913  53  15  2.7859192  159.621414  7786.39433
#> 2423 -7291.0059689  2707.0955422  53  16  2.7860764  159.630418  7777.34751
#> 2424 -7284.5618953  2704.9475177  53  17  2.7860469  159.628727  7770.55874
#> 2425 -7276.5068032  2701.1884748  53  18  2.7861396  159.634042  7761.69894
#> 2426 -7267.3776989  2697.4294318  53  19  2.7861844  159.636607  7751.83231
#> 2427 -7258.2485946  2693.1333827  53  20  2.7862943  159.642904  7741.77887
#> 2428 -7248.0454780  2688.8373336  53  21  2.7863562  159.646449  7730.71856
#> 2429 -7236.2313431  2683.4672723  53  22  2.7864761  159.653321  7717.77433
#> 2430 -7214.7510976  2675.9491864  53  23  2.7864216  159.650197  7695.02030
#> 2431 -7183.0677356  2664.6720575  53  24  2.7863635  159.646872  7661.39278
#> 2432 -7151.9213797  2655.5429532  53  25  2.7860655  159.629795  7629.01617
#> 2433 -7129.9041282  2646.9508550  53  26  2.7861169  159.632740  7605.38505
#> 2434 -7102.5168152  2636.7477385  53  27  2.7861213  159.632993  7576.15890
#> 2435 -7079.9625575  2627.6186341  53  28  2.7862152  159.638371  7551.83749
#> 2436 -6067.2939604  2415.7504462  54  63  2.7626740  158.289558  6530.53644
#> 2437 -6023.5350911  2397.2370784  54  64  2.7628302  158.298511  6483.03329
#> 2438 -5978.0931883  2377.0406772  54  65  2.7631352  158.315983  6433.34443
#> 2439 -5925.9191518  2361.8933763  54  66  2.7623197  158.269259  6379.26784
#> 2440 -5883.8433159  2345.0630419  54  67  2.7623285  158.269765  6333.95081
#> 2441 -5851.8656806  2329.9157410  54  68  2.7626828  158.290064  6298.63789
#> 2477 -6081.9489454  3199.7310823  55  58  2.6572814  152.251011  6872.29088
#> 2476 -6048.3646047  3185.9920338  55  59  2.6567727  152.221863  6836.17288
#> 2475 -5999.5146547  3163.0936197  55  60  2.6564031  152.200685  6782.28113
#> 2474 -5950.6647046  3140.1952056  55  61  2.6560275  152.179167  6728.39032
#> 2473 -5912.5006811  3121.8764744  55  62  2.6557867  152.165369  6686.08832
#> 2442 -5856.0179264  3099.7413407  55  63  2.6547606  152.106577  6625.80881
#> 2443 -5813.2742201  3069.2101220  55  64  2.6558235  152.167477  6573.75144
#> 2444 -5764.4242700  3053.9445126  55  65  2.6543967  152.085726  6523.43194
#> 2445 -5715.5743199  3028.7562571  55  66  2.6543021  152.080309  6468.47387
#> 2446 -5668.2509308  3010.4375258  55  67  2.6533716  152.026996  6418.08404
#> 2447 -5634.6665901  2995.1719164  55  68  2.6530158  152.006607  6381.26339
#> 2448 -5596.5025667  2964.6406976  55  69  2.6544441  152.088446  6333.24052
#> 2449 -5562.9182260  2943.2688444  55  70  2.6549470  152.117256  6293.55946
#> 2450 -5524.7542025  2923.4235522  55  71  2.6548979  152.114446  6250.54512
#> 2451 -5488.1167400  2902.0516991  55  72  2.6551806  152.130640  6208.16635
#> 2453 -5424.0011805  2866.9407975  55  74  2.6553545  152.140607  6135.07444
#> 2454 -5396.5230836  2851.6751881  55  75  2.6554619  152.146762  6103.64750
#> 2455 -5356.8324992  2828.7767740  55  76  2.6557429  152.162858  6057.85708
#> 2456 -5323.2481585  2808.9314818  55  77  2.6560529  152.180623  6018.89251
#> 2457 -5295.7700616  2792.1393114  55  78  2.6563916  152.200030  5986.75392
#> 2458 -5254.5529162  2769.2408973  55  79  2.6565655  152.209989  5939.61459
#> 2459 -5219.4420146  2746.3424833  55  80  2.6572246  152.247754  5897.87860
#> 2460 -5179.7514302  2724.9706301  55  81  2.6572983  152.251979  5852.80188
#> 2461 -5140.0608457  2702.0722160  55  82  2.6576059  152.269600  5807.01470
#> 2462 -5100.3702613  2680.7003629  55  83  2.6576837  152.274062  5761.93815
#> 2463 -5062.2062378  2653.2222659  55  84  2.6588329  152.339901  5715.37579
#> 2464 -5014.8828487  2630.3238519  55  85  2.6585349  152.322830  5662.83088
#> 2465 -4962.9797768  2601.3191940  55  86  2.6588164  152.338960  5603.39449
#> 2466 -4918.7095095  2573.8410971  55  87  2.6594984  152.378031  5551.42876
#> 2467 -4874.4392423  2549.4161221  55  88  2.6597012  152.389654  5500.87997
#> 2468 -4825.5892922  2520.4114642  55  89  2.6602636  152.421877  5444.15154
#> 2469 -4779.7924640  2489.8802454  55  90  2.6613510  152.484179  5389.42665
#> 2470 -4744.6815624  2466.9818313  55  91  2.6621153  152.527969  5347.71002
#> 2471 -4711.0972217  2451.7162219  55  92  2.6617483  152.506945  5310.87088
#> 2472 -4682.0925639  2437.9771735  55  93  2.6615206  152.493896  5278.79944
#> 2478 -5541.5463728  2637.9566566  56  73  2.6973022  154.544030  6137.38963
#> 2479 -5512.5417150  2622.6910472  56  74  2.6975179  154.556389  6104.63959
#> 2480 -5488.1167400  2605.8988768  56  75  2.6982865  154.600431  6075.37113
#> 2481 -5449.9527165  2581.4739018  56  76  2.6992308  154.654534  6030.42222
#> 2482 -5420.9480586  2563.1551705  56  77  2.6999211  154.694085  5996.36909
#> 2483 -5388.8902789  2543.3098783  56  78  2.7006323  154.734831  5958.90624
#> 2484 -6416.2657912  3854.6257253  57  38  2.6006157  149.004302  7485.09226
#> 2485 -6393.3673771  3842.4132378  57  39  2.6004382  148.994136  7459.17461
#> 2486 -6368.9424020  3827.1476284  57  40  2.6005059  148.998011  7430.37592
#> 2487 -6344.5174270  3808.8288971  57  41  2.6009277  149.022179  7400.00533
#> 2488 -6315.5127692  3795.0898487  57  42  2.6005002  148.997687  7368.06681
#> 2489 -6288.0346722  3776.7711174  57  43  2.6007113  149.009784  7335.07874
#> 2490 -6262.0831363  3759.9789471  57  44  2.6008528  149.017887  7304.18557
#> 2491 -6228.4987956  3737.0805330  57  45  2.6011754  149.036370  7263.60573
#> 2492 -6196.4410159  3715.7086798  57  46  2.6014290  149.050904  7225.12092
#> 2493 -6167.4363580  3692.8102657  57  47  2.6020859  149.088539  7188.47125
#> 2494 -6141.4848221  3676.0180954  57  48  2.6022361  149.097148  7157.57954
#> 2495 -6863.5481464  4494.2547590  58   1  2.5618501  146.783201  8204.06113
#> 2496 -6851.3356589  4484.7137531  58   2  2.5620079  146.792240  8188.61757
#> 2497 -6838.7415312  4474.7911070  58   3  2.5621798  146.802088  8172.64591
#> 2498 -6826.9106839  4464.4868207  58   4  2.5624427  146.817152  8157.10439
#> 2499 -6820.0411597  4458.3805769  58   5  2.5626085  146.826651  8148.01318
#> 2500 -6811.2634343  4452.6559734  58   6  2.5626071  146.826571  8137.53370
#> 2501 -6803.2489893  4447.3130101  58   7  2.5626178  146.827183  8127.90193
#> 2502 -6795.2345444  4441.5884066  58   8  2.5626678  146.830051  8118.06135
#> 2503 -6787.9833799  4434.7188823  58   9  2.5628877  146.842650  8108.23347
#> 2504 -6776.9158131  4427.0860776  58  10  2.5629293  146.845032  8094.79333
#> 2505 -6768.7105481  4421.3614741  58  11  2.5629670  146.847195  8084.79312
#> 2506 -6763.9400451  4418.6899925  58  12  2.5629210  146.844555  8079.33823
#> 2507 -6758.2154416  4413.9194895  58  13  2.5630279  146.850680  8071.93665
#> 2508 -6750.3918168  4408.1948860  58  14  2.5630917  146.854339  8062.25600
#> 2509 -6743.9039328  4402.8519227  58  15  2.5632067  146.860928  8053.90249
#> 2510 -6740.2783506  4399.6079807  58  16  2.5632980  146.866154  8049.09328
#> 2511 -6735.8894879  4395.2191180  58  17  2.5634566  146.875246  8043.01923
#> 2512 -6731.1189849  4391.0210754  58  18  2.5635697  146.881726  8036.72999
#> 2513 -6713.3727140  4380.1443288  58  19  2.5634966  146.877535  8015.92400
#> 2514 -6700.2061259  4372.1298838  58  20  2.5634363  146.874080  8000.51760
#> 2515 -6685.3221567  4361.6347774  58  21  2.5635184  146.878786  7982.31735
#> 2516 -6668.7208065  4350.3763904  58  22  2.5635634  146.881361  7962.26173
#> 2517 -6646.7764930  4335.1107810  58  23  2.5636636  146.887107  7935.54177
#> 2518 -6618.9167559  4318.7002509  58  24  2.5634771  146.876420  7903.24180
#> 2519 -6586.8589762  4298.4733185  58  25  2.5634036  146.872210  7865.34068
#> 2520 -6565.8687632  4285.4975505  58  26  2.5633265  146.867791  7840.67101
#> 2521 -6534.5742640  4265.6522583  58  27  2.5632642  146.864222  7803.61775
#> 2522 -6506.7145268  4247.3335270  58  28  2.5632785  146.865040  7770.27516
#> 2523 -5668.2509308  3992.3978501  59  58  2.5279573  144.841283  6933.13127
#> 2524 -5646.8790777  3975.6056798  59  59  2.5281632  144.853079  6905.98898
#> 2525 -5599.5556885  3943.5479001  59  60  2.5280128  144.844462  6848.83888
#> 2526 -5561.3916650  3908.4369984  59  61  2.5290031  144.901204  6797.42282
#> 2527 -5523.2276416  3876.3792187  59  62  2.5296381  144.937584  6747.76700
#> 2528 -5463.6917649  3839.7417562  59  63  2.5290072  144.901440  6677.98955
#> 2529 -5433.1605461  3822.9495858  59  64  2.5284328  144.868527  6643.35586
#> 2530 -5393.4699617  3798.5246108  59  65  2.5279985  144.843647  6596.84072
#> 2531 -5346.1465726  3769.5199530  59  66  2.5274581  144.812680  6541.44968
#> 2532 -5307.9825491  3738.9887342  59  67  2.5279140  144.838803  6492.66629
#> 2533 -5266.7654037  3713.0371982  59  68  2.5275230  144.816399  6444.02538
#> 2556 -6444.1877349  5051.9700921  60   1  2.4767105  141.905058  8188.40384
#> 2555 -6431.0139691  5043.9625090  60   2  2.4764871  141.892258  8173.09601
#> 2554 -6418.8734399  5035.4383076  60   3  2.4763908  141.886744  8158.28261
#> 2553 -6409.5743111  5030.0138158  60   4  2.4762102  141.876395  8147.61817
#> 2552 -6402.8582736  5024.0727057  60   5  2.4762750  141.880109  8138.66701
#> 2551 -6392.5259083  5015.8068135  60   6  2.4762904  141.880988  8125.43571
#> 2550 -6384.2600160  5009.3490852  60   7  2.4762877  141.880832  8114.94635
#> 2549 -6378.0605968  5003.6662842  60   8  2.4763671  141.885383  8106.56112
#> 2548 -6368.7614680  4998.2417924  60   9  2.4761853  141.874967  8095.89672
#> 2534 -6359.7830364  4990.7687045  60  10  2.4762268  141.877346  8084.21997
#> 2535 -6351.7130653  4984.5514084  60  11  2.4762156  141.876701  8074.03317
#> 2536 -6348.0967374  4980.9350805  60  12  2.4762915  141.881049  8068.95572
#> 2537 -6341.6390091  4974.4773522  60  13  2.4764272  141.888827  8059.88897
#> 2538 -6333.6314259  4968.5362421  60  14  2.4763940  141.886922  8049.92170
#> 2539 -6327.6903159  4964.6616051  60  15  2.4763171  141.882517  8042.85581
#> 2540 -6322.7824424  4959.7537316  60  16  2.4764206  141.888447  8035.96509
#> 2541 -6317.3579506  4956.3957129  60  17  2.4763327  141.883411  8029.62452
#> 2542 -6310.9002222  4950.1962937  60  18  2.4764438  141.889778  8020.71723
#> 2543 -6293.8518194  4939.6056192  60  19  2.4761702  141.874103  8000.76711
#> 2544 -6278.6115806  4929.0149448  60  20  2.4760352  141.866365  7982.23977
#> 2545 -6258.9800865  4918.1659612  60  21  2.4755843  141.840533  7960.09976
#> 2546 -6243.2232294  4904.7338862  60  22  2.4756884  141.846495  7939.41124
#> 2547 -6221.2669530  4886.1356287  60  23  2.4758225  141.854179  7910.65635
#> 2557 -6367.9865406  5157.3602184  61   1  2.4608510  140.996379  8194.48699
#> 2558 -6356.1043205  5147.5444714  61   2  2.4608693  140.997427  8179.07551
#> 2559 -6345.2553369  5137.7287243  61   3  2.4609673  141.003042  8164.46702
#> 2560 -6338.0226812  5130.4960686  61   4  2.4610985  141.010558  8154.29466
#> 2561 -6329.7567889  5122.7467946  61   5  2.4611995  141.016345  8142.99427
#> 2562 -6317.3579506  5118.0972302  61   6  2.4606847  140.986847  8130.43238
#> 2563 -6309.3503674  5111.6395019  61   7  2.4606818  140.986684  8120.14535
#> 2564 -6302.6343300  5107.2482466  61   8  2.4605813  140.980923  8112.16273
#> 2565 -6294.6267468  5102.0820639  61   9  2.4604545  140.973656  8102.68889
#> 2566 -6285.5859272  5094.0744808  61  10  2.4605197  140.977395  8090.62329
#> 2567 -6274.7369436  5087.3584433  61  11  2.4603200  140.965953  8077.96631
#> 2568 -6270.8623066  5083.7421155  61  12  2.4603657  140.968571  8072.67911
#> 2569 -6263.3713417  5077.2843872  61  13  2.4604028  140.970696  8062.79339
#> 2570 -6254.8471404  5071.8598954  61  14  2.4602595  140.962485  8052.75577
#> 2571 -6248.1311029  5066.6937127  61  15  2.4602325  140.960938  8044.28539
#> 2572 -6242.4483020  5062.5607666  61  16  2.4601866  140.958306  8037.26834
#> 2573 -6238.3153558  5058.1695113  61  17  2.4602871  140.964066  8031.29238
#> 2574 -6230.3077727  5052.4867104  61  18  2.4602087  140.959572  8021.49343
#> 2575 -6213.2593699  5041.1211085  61  19  2.4599699  140.945891  8001.09330
#> 2576 -6199.5689859  5028.4639610  61  20  2.4601206  140.954527  7982.48742
#> 2577 -6179.9374918  5016.0651226  61  21  2.4597767  140.934824  7959.43068
#> 2578 -6161.8558524  5004.6995208  61  22  2.4594529  140.916271  7938.22933
#> 2579 -6140.1578853  4989.4592819  61  23  2.4592191  140.902876  7911.77874
#> 2580 -6269.8290701  5311.0541526  62   1  2.4387956  139.732693  8216.93695
#> 2581 -6254.3305221  5298.1386960  62   2  2.4387757  139.731556  8196.76301
#> 2582 -6245.0313933  5289.8728037  62   3  2.4388119  139.733631  8184.32474
#> 2583 -6235.7322645  5281.0902932  62   4  2.4388965  139.738477  8171.55258
#> 2584 -6225.3998992  5275.9241105  62   5  2.4385613  139.719272  8160.32960
#> 2585 -6213.0010608  5266.1083634  62   6  2.4384965  139.715558  8144.52451
#> 2586 -6204.7351685  5257.8424712  62   7  2.4386147  139.722328  8132.87440
#> 2587 -6198.5357493  5252.1596703  62   8  2.4386550  139.724639  8124.47085
#> 2588 -6189.2366205  5246.4768693  62   9  2.4384484  139.712804  8113.70258
#> 2589 -6178.9042552  5238.7275953  62  10  2.4383534  139.707359  8100.81012
#> 2590 -6168.0552716  5226.8453752  62  11  2.4386066  139.721868  8084.85117
#> 2591 -6162.8890890  5222.1958108  62  12  2.4386323  139.723338  8077.90387
#> 2592 -6154.8815058  5217.0296282  62  13  2.4384792  139.714566  8068.45490
#> 2593 -6145.3240679  5210.0552816  62  14  2.4383725  139.708453  8056.65464
#> 2594 -6134.2167752  5202.5643167  62  15  2.4381899  139.697989  8043.33829
#> 2595 -6127.7590469  5196.6232066  62  16  2.4382339  139.700513  8034.57054
#> 2596 -6123.1094825  5192.4902605  62  17  2.4382520  139.701547  8028.35132
#> 2597 -6116.1351359  5186.2908413  62  18  2.4382791  139.703100  8019.02249
#> 2598 -6101.1532062  5173.1170755  62  19  2.4383238  139.705666  7999.07562
#> 2599 -6085.1380399  5160.2016189  62  20  2.4382604  139.702030  7978.50774
#> 2600 -6065.7648549  5144.1864526  62  21  2.4382208  139.699760  7953.37397
#> 2601 -6047.6832156  5130.7543777  62  22  2.4380378  139.689278  7930.89609
#> 2602 -6024.9520119  5111.6395019  62  23  2.4380214  139.688338  7901.19644
#> 2603 -6130.6004473  5506.0775481  63   1  2.4098115  138.072031  8240.21552
#> 2604 -6114.0686628  5492.6454732  63   2  2.4096834  138.064689  8218.94092
#> 2605 -6101.6698244  5481.2798713  63   3  2.4097040  138.065868  8202.12190
#> 2606 -6091.8540774  5473.0139791  63   4  2.4096539  138.062996  8189.29595
#> 2607 -6085.1380399  5464.7480868  63   5  2.4098569  138.074628  8178.77599
#> 2608 -6074.2890563  5452.8658667  63   6  2.4100519  138.085800  8162.76508
#> 2609 -6065.5065458  5446.6664475  63   7  2.4098981  138.076989  8152.08839
#> 2610 -6059.8237449  5439.4337918  63   8  2.4100927  138.088138  8143.02793
#> 2611 -6052.0744709  5432.2011360  63   9  2.4101180  138.089589  8132.42981
#> 2612 -6042.2587238  5424.9684803  63  10  2.4099734  138.081305  8120.29393
#> 2613 -6032.7012859  5415.6693515  63  11  2.4100393  138.085081  8106.96980
#> 2614 -6027.5351032  5408.9533141  63  12  2.4102303  138.096022  8098.63911
#> 2615 -6019.0109018  5400.4291127  63  13  2.4103108  138.100635  8086.60169
#> 2616 -6008.1619182  5392.6798387  63  14  2.4101278  138.090151  8073.35156
#> 2617 -5992.4050611  5380.2810003  63  15  2.4099667  138.080918  8053.34353
#> 2618 -5983.1059323  5368.9153984  63  16  2.4102459  138.096915  8038.83133
#> 2619 -5978.4563679  5363.2325975  63  17  2.4103858  138.104936  8031.57546
#> 2620 -5969.9321665  5355.9999418  63  18  2.4103474  138.102732  8020.40058
#> 2621 -5954.6919277  5341.0180120  63  19  2.4104692  138.109711  7999.05178
#> 2622 -5938.1601432  5326.0360823  63  20  2.4104835  138.110534  7976.74158
#> 2623 -5916.4621760  5308.7293704  63  21  2.4102818  138.098973  7949.03341
#> 2624 -5898.8971549  5294.0057498  63  22  2.4101844  138.093393  7926.12670
#> 2625 -5876.6825695  5275.1491831  63  23  2.4100826  138.087561  7896.99924
#> 2626 -6029.8598854  5626.4496041  64   1  2.3907894  136.982144  8247.19015
#> 2627 -6012.2948644  5613.5341475  64   2  2.3904806  136.964449  8225.53677
#> 2628 -5998.8627895  5599.0688360  64   3  2.3906520  136.974269  8205.84710
#> 2629 -5988.5304241  5589.2530890  64   4  2.3906673  136.975149  8191.59610
#> 2630 -5977.1648223  5581.5038150  64   5  2.3904118  136.960508  8178.00001
#> 2631 -5964.2493656  5566.5218852  64   6  2.3906735  136.975503  8158.33539
#> 2632 -5955.4668551  5558.2559930  64   7  2.3906797  136.975858  8146.27492
#> 2633 -5947.2009628  5549.9901007  64   8  2.3907293  136.978697  8134.59215
#> 2634 -5937.3852158  5540.6909719  64   9  2.3907418  136.979414  8121.07134
#> 2635 -5926.5362322  5531.3918431  64  10  2.3906674  136.975151  8106.79514
#> 2636 -5917.7537217  5522.0927143  64  11  2.3907669  136.980855  8094.02972
#> 2637 -5912.5875390  5516.9265317  64  12  2.3907982  136.982644  8086.72800
#> 2638 -5904.8382650  5509.1772577  64  13  2.3908451  136.985334  8075.77544
#> 2639 -5895.5391362  5500.9113654  64  14  2.3908079  136.983203  8063.33725
#> 2640 -5885.7233892  5493.6787097  64  15  2.3906330  136.973181  8051.22634
#> 2641 -5881.0738248  5487.9959088  64  16  2.3907550  136.980174  8043.94980
#> 2642 -5875.3910238  5481.7964896  64  17  2.3908366  136.984847  8035.56547
#> 2643 -5868.6749864  5475.0804521  64  18  2.3908776  136.987196  8026.07326
#> 2644 -5850.0767288  5460.0985224  64  19  2.3906611  136.974793  8002.25428
#> 2645 -5833.0283260  5443.0501196  64  20  2.3907653  136.980760  7978.15856
#> 2646 -5812.8802136  5423.9352438  64  21  2.3907941  136.982413  7950.38678
#> 2647 -5794.2819560  5409.4699323  64  22  2.3905277  136.967148  7926.92048
#> 2648 -5770.0008975  5388.2885834  64  23  2.3903900  136.959259  7894.71749
#> 2649 -5917.7537217  5769.5528639  65   1  2.3688743  135.726500  8264.83813
#> 2650 -5901.7385554  5750.9546063  65   2  2.3691336  135.741357  8240.38815
#> 2651 -5884.6901526  5740.1056227  65   3  2.3686314  135.712585  8220.60769
#> 2652 -5872.2913142  5730.8064939  65   4  2.3683876  135.698614  8205.23908
#> 2653 -5861.4423306  5721.5073651  65   5  2.3682750  135.692163  8190.97996
#> 2654 -5843.3606913  5709.1085267  65   6  2.3678150  135.665809  8169.38090
#> 2655 -5834.5781808  5700.3260162  65   7  2.3678327  135.666823  8156.96140
#> 2656 -5825.7956703  5692.5767422  65   8  2.3677598  135.662641  8145.26397
#> 2657 -5813.9134502  5682.2443769  65   9  2.3676473  135.656198  8129.54431
#> 2658 -5799.9647570  5671.9120115  65  10  2.3673563  135.639527  8112.34720
#> 2659 -5791.1822464  5666.7458289  65  11  2.3670544  135.622224  8102.45642
#> 2660 -5785.4994455  5661.0630280  65  12  2.3670651  135.622842  8094.42020
#> 2661 -5777.7501715  5653.8303722  65  13  2.3670342  135.621069  8083.82304
#> 2662 -5767.9344245  5646.0810982  65  14  2.3668698  135.611653  8071.38769
#> 2663 -5759.6685322  5640.1399882  65  15  2.3666792  135.600732  8061.32500
#> 2664 -5753.9857313  5635.7487329  65  16  2.3665751  135.594767  8054.19242
#> 2665 -5749.3361669  5631.0991685  65  17  2.3665836  135.595253  8047.61730
#> 2666 -5740.5536564  5624.3831311  65  18  2.3664160  135.585648  8036.64370
#> 2667 -5723.2469444  5608.6262739  65  19  2.3663090  135.579521  8013.25429
#> 2668 -5703.0988321  5593.1277260  65  20  2.3659294  135.557769  7988.01690
#> 2669 -5680.3676283  5576.8542506  65  21  2.3653895  135.526836  7960.39445
#> 2670 -5661.2527525  5562.6472482  65  22  2.3649796  135.503349  7936.80207
#> 2671 -5634.1302935  5543.0157541  65  23  2.3643462  135.467057  7903.69836
#> 2672 -5728.6714362  5995.3150462  66   1  2.3334550  133.697122  8292.25415
#> 2673 -5714.2061248  5981.8829713  66   2  2.3333125  133.688957  8272.54952
#> 2674 -5698.1909585  5967.4176598  66   3  2.3331199  133.677924  8251.02743
#> 2675 -5687.8585932  5955.5354397  66   4  2.3332089  133.683026  8235.29828
#> 2676 -5674.4265183  5946.7529292  66   5  2.3327651  133.657598  8219.67072
#> 2677 -5657.3781155  5934.3540908  66   6  2.3323048  133.631220  8198.93198
#> 2678 -5646.0125136  5925.5715802  66   7  2.3320401  133.616055  8184.73310
#> 2679 -5638.2632396  5915.2392149  66   8  2.3322257  133.626692  8171.90720
#> 2680 -5625.3477830  5906.4567044  66   9  2.3318225  133.603587  8156.63953
#> 2681 -5613.9821811  5895.0911025  66  10  2.3317744  133.600830  8140.57093
#> 2682 -5605.7162889  5889.4083016  66  11  2.3315202  133.586265  8130.75552
#> 2683 -5600.5501062  5882.6922642  66  12  2.3316295  133.592531  8122.32909
#> 2684 -5592.2842140  5876.4928450  66  13  2.3314185  133.580439  8112.13972
#> 2685 -5585.3098674  5869.7768075  66  14  2.3313664  133.577452  8102.46667
#> 2686 -5577.8189025  5862.0275335  66  15  2.3313559  133.576851  8091.68898
#> 2687 -5570.8445559  5856.3447326  66  16  2.3312154  133.568804  8082.76455
#> 2688 -5564.9034459  5850.4036225  66  17  2.3311894  133.567314  8074.36517
#> 2689 -5556.8958627  5843.1709668  66  18  2.3310881  133.561508  8063.60580
#> 2690 -5538.0392960  5827.4141097  66  19  2.3307391  133.541512  8039.19364
#> 2691 -5520.2159658  5808.5575430  66  20  2.3307478  133.542014  8013.24685
#> 2692 -5499.8095443  5791.5091402  66  21  2.3303663  133.520152  7986.83186
#> 2693 -5480.6946685  5777.5604470  66  22  2.3298319  133.489534  7963.55566
#> 2694 -5455.1220643  5758.1872620  66  23  2.3291738  133.451828  7931.90250
#> 2695 -5292.6685539  6516.6913562  67   1  2.2529148  129.082507  8395.21332
#> 2696 -5276.5733734  6499.3987394  67   2  2.2527246  129.071613  8371.64324
#> 2697 -5261.2029125  6483.1743641  67   3  2.2525202  129.059899  8349.35961
#> 2698 -5247.5402807  6468.6578177  67   4  2.2523447  129.049846  8329.47855
#> 2699 -5235.5854779  6457.5569294  67   5  2.2520692  129.034059  8313.32646
#> 2700 -5222.7767605  6442.1864686  67   6  2.2520367  129.032198  8293.32042
#> 2701 -5207.0658329  6432.0717514  67   7  2.2513317  128.991804  8275.57138
#> 2702 -5194.2275613  6420.1844629  67   8  2.2510291  128.974468  8258.25457
#> 2703 -5182.8157644  6410.1991406  67   9  2.2507148  128.956457  8243.31440
#> 2704 -5172.3549505  6398.3118521  67  10  2.2506345  128.951856  8227.49356
#> 2705 -5163.7961028  6390.2284959  67  11  2.2504428  128.940877  8215.82683
#> 2706 -5157.6147128  6384.0471059  67  12  2.2503304  128.934435  8207.13391
#> 2707 -5149.0558650  6378.3412075  67  13  2.2499557  128.912964  8197.31742
#> 2708 -5141.9234919  6368.8313767  67  14  2.2500074  128.915931  8185.43770
#> 2709 -5130.9871865  6358.3705628  67  15  2.2497703  128.902341  8170.42874
#> 2710 -5125.7567796  6350.2872066  67  16  2.2498935  128.909403  8160.85352
#> 2711 -5118.1489150  6346.4832743  67  17  2.2494605  128.884591  8153.11586
#> 2712 -5108.1635926  6337.4489350  67  18  2.2492023  128.869799  8139.81537
#> 2713 -5092.9478634  6321.2822227  67  19  2.2489928  128.857793  8117.67990
#> 2714 -5078.6831172  6307.0174765  67  20  2.2487262  128.842520  8097.62259
#> 2715 -5061.0899302  6289.4242895  67  21  2.2483956  128.823579  8072.88605
#> 2716 -5044.9232178  6275.1595433  67  22  2.2479420  128.797590  8051.63819
#> 2717 -5016.8692170  6258.5173394  67  23  2.2465162  128.715895  8021.09818
#> 2718 -4966.0233307  6834.7286869  68   1  2.1991438  126.001658  8448.36694
#> 2719 -4952.0153780  6816.4105949  68   2  2.1990768  125.997817  8425.31363
#> 2720 -4937.2523423  6798.3504152  68   3  2.1989186  125.988755  8402.02530
#> 2721 -4925.4324681  6784.8419876  68   4  2.1987247  125.977643  8384.14968
#> 2722 -4914.4568706  6769.6450065  68   5  2.1987301  125.977957  8365.40375
#> 2723 -4901.7927197  6755.2923021  68   6  2.1985125  125.965487  8346.34926
#> 2724 -4888.2842921  6740.0953211  68   7  2.1982713  125.951668  8326.11604
#> 2725 -4876.4644179  6725.7426167  68   8  2.1981339  125.943793  8307.55794
#> 2726 -4863.8002670  6712.2341891  68   9  2.1978536  125.927733  8289.18819
#> 2727 -4851.1361161  6697.8814847  68  10  2.1976319  125.915032  8270.13531
#> 2728 -4842.6933488  6692.8158243  68  11  2.1971639  125.888217  8261.08120
#> 2729 -4839.3162419  6682.6845036  68  12  2.1975521  125.910459  8250.89413
#> 2730 -4831.0063308  6676.9720973  68  13  2.1971419  125.886961  8241.39421
#> 2731 -4823.6018640  6666.6058438  68  14  2.1971514  125.887501  8228.65532
#> 2732 -4812.2483483  6654.2650659  68  15  2.1969122  125.873797  8212.00205
#> 2733 -4806.3247749  6647.3542303  68  16  2.1968208  125.868558  8202.93095
#> 2734 -4801.3884638  6640.9370257  68  17  2.1967914  125.866878  8194.83836
#> 2735 -4793.9839970  6633.5325590  68  18  2.1965884  125.855242  8184.49979
#> 2736 -4779.6686946  6618.7236255  68  19  2.1962297  125.834691  8164.11264
#> 2737 -4765.8470234  6603.9146920  68  20  2.1959183  125.816853  8144.01542
#> 2738 -4753.0126143  6588.1184962  68  21  2.1957751  125.808647  8123.69585
#> 2739 -4738.2036808  6572.8159316  68  22  2.1953979  125.787034  8102.62201
#> 2740 -4719.9393295  6549.6152691  68  23  2.1952432  125.778171  8073.12130
#> 2741 -4661.9182781  7119.8293827  69   1  2.1505241  123.215957  8510.31448
#> 2742 -4648.6510724  7102.1397751  69   2  2.1503581  123.206445  8488.24753
#> 2743 -4638.0373078  7088.8725694  69   3  2.1501675  123.195524  8471.33427
#> 2744 -4623.0011413  7071.1829618  69   4  2.1498246  123.175874  8448.29971
#> 2745 -4612.3873768  7055.2623149  69   5  2.1498042  123.174707  8429.16625
#> 2746 -4600.8891318  7038.4571877  69   6  2.1497532  123.171788  8408.80850
#> 2747 -4588.5064065  7022.5365408  69   7  2.1495561  123.160492  8388.70732
#> 2748 -4575.2392008  7005.7314136  69   8  2.1493273  123.147384  8367.38229
#> 2749 -4565.5099166  6989.8107667  69   9  2.1493943  123.151222  8348.73256
#> 2750 -4550.0216589  6977.6493527  69  10  2.1486360  123.107774  8330.08329
#> 2751 -4545.4015688  6968.4091724  69  11  2.1487775  123.115881  8319.81982
#> 2752 -4540.1214657  6959.1689921  69  12  2.1488528  123.120196  8309.19587
#> 2753 -4530.2212726  6949.2687989  69  13  2.1485054  123.100289  8295.49526
#> 2754 -4520.3210794  6938.7085929  69  14  2.1482003  123.082808  8281.24264
#> 2755 -4515.0409763  6927.4883740  69  15  2.1484059  123.094591  8268.95944
#> 2756 -4508.4408476  6916.9281679  69  16  2.1484346  123.096234  8256.50859
#> 2757 -4502.5007317  6909.6680262  69  17  2.1483119  123.089203  8247.18286
#> 2758 -4496.5606158  6902.4078846  69  18  2.1481889  123.082157  8237.85724
#> 2759 -4486.6604226  6887.8876013  69  19  2.1481439  123.079581  8220.28694
#> 2760 -4476.7602294  6874.0273308  69  20  2.1480549  123.074479  8203.26971
#> 2761 -4466.2000234  6857.5270088  69  21  2.1480739  123.075569  8183.68006
#> 2762 -4452.9997658  6841.0266869  69  22  2.1478220  123.061135  8162.64988
#> 2763 -4438.4794825  6821.2263005  69  23  2.1476540  123.051508  8138.13421
#> 2764 -4417.7872795  6789.3943192  69  24  2.1476561  123.051629  8100.16788
#> 2765 -4399.8370571  6759.4772819  69  25  2.1478137  123.060659  8065.30218
#> 2766 -4387.8702422  6744.9461494  69  26  2.1475524  123.045690  8046.59579
#> 2767 -4369.0652472  6724.4316095  69  27  2.1469817  123.012993  8019.14656
#> 2768 -4356.2436598  6707.3361596  69  28  2.1468020  123.002695  7997.82578
#> 2769 -4495.5715767  7253.5357848  70   1  2.1256307  121.789665  8533.69470
#> 2770 -4482.7499893  7235.5855624  70   2  2.1254612  121.779959  8511.68291
#> 2771 -4470.7831743  7215.9257950  70   3  2.1254826  121.781182  8488.66817
#> 2772 -4462.2354493  7198.8303450  70   4  2.1256878  121.792937  8469.63420
#> 2773 -4447.7043169  7184.2992126  70   5  2.1251321  121.761100  8449.62892
#> 2774 -4434.8827295  7168.0585352  70   6  2.1248530  121.745107  8429.07160
#> 2775 -4423.7706870  7152.6726302  70   7  2.1246919  121.735879  8410.14107
#> 2776 -4413.5134170  7136.4319528  70   8  2.1246703  121.734644  8390.93330
#> 2777 -4402.4013746  7119.3365029  70   9  2.1246155  121.731504  8370.54897
#> 2778 -4392.1441046  7103.0958254  70  10  2.1245937  121.730252  8351.34122
#> 2779 -4386.0064907  7094.4023017  70  11  2.1245160  121.725800  8340.71921
#> 2780 -4381.9566850  7084.5670593  70  12  2.1247233  121.737680  8330.22418
#> 2781 -4375.5927046  7069.5249239  70  13  2.1250241  121.754910  8314.08408
#> 2782 -4364.6003749  7054.4827884  70  14  2.1248516  121.745031  8295.50865
#> 2783 -4358.2363945  7044.6475460  70  15  2.1248230  121.743390  8283.79644
#> 2784 -4351.2938705  7034.8123036  70  16  2.1247348  121.738337  8271.77989
#> 2785 -4346.6655211  7026.7126922  70  17  2.1247741  121.740587  8262.45680
#> 2786 -4341.4586280  7017.4559935  70  18  2.1248276  121.743653  8251.84535
#> 2787 -4333.9375603  7003.5709454  70  19  2.1249380  121.749978  8236.08042
#> 2788 -4324.6808616  6992.0000719  70  20  2.1247212  121.737555  8221.37030
#> 2789 -4314.2670755  6975.8008492  70  21  2.1246803  121.735212  8202.11545
#> 2790 -4301.5391147  6959.0230827  70  22  2.1244358  121.721206  8181.15157
#> 2791 -4291.7038723  6941.6667726  70  23  2.1245289  121.726539  8161.21680
#> 2792 -4350.5011375  7358.8011255  71   1  2.1047179  120.591452  8548.61475
#> 2793 -4337.1946331  7337.3950096  71   2  2.1046521  120.587683  8523.41615
#> 2794 -4327.3593906  7320.0386995  71   3  2.1046951  120.590144  8503.47022
#> 2795 -4319.8383229  7307.3107387  71   4  2.1046954  120.590163  8488.68620
#> 2796 -4308.8459932  7291.1115159  71   5  2.1045515  120.581917  8469.14759
#> 2797 -4299.5892944  7270.8624874  71   6  2.1048277  120.597742  8447.00594
#> 2798 -4288.0184210  7252.3490900  71   7  2.1047640  120.594095  8425.18067
#> 2799 -4275.8690039  7234.4142361  71   8  2.1046057  120.585025  8403.55907
#> 2800 -4265.4552178  7218.2150134  71   9  2.1045195  120.580088  8384.31489
#> 2801 -4256.1985191  7200.8587032  71  10  2.1046224  120.585983  8364.66329
#> 2802 -4245.7847330  7193.9161792  71  11  2.1039721  120.548723  8353.38961
#> 2803 -4240.5778400  7181.1882184  71  12  2.1042101  120.562361  8339.78205
#> 2804 -4232.4782286  7167.8817140  71  13  2.1041851  120.560927  8324.20568
#> 2805 -4224.9571608  7154.5752095  71  14  2.1042200  120.562923  8308.92348
#> 2806 -4216.8575494  7140.1116177  71  15  2.1042658  120.565549  8292.35078
#> 2807 -4212.2292001  7129.1192880  71  16  2.1044596  120.576652  8280.53239
#> 2808 -4208.1793944  7122.7553076  71  17  2.1044294  120.574925  8272.99323
#> 2809 -4202.9725013  7113.4986089  71  18  2.1044567  120.576490  8262.37498
#> 2810 -4196.0299773  7099.6135608  71  19  2.1045884  120.584035  8246.88913
#> 2811 -4187.3518222  7084.5714253  71  20  2.1046106  120.585306  8229.52414
#> 2812 -4179.8307545  7066.6365715  71  21  2.1049335  120.603805  8210.25807
#> 2813 -4167.1027937  7052.7515234  71  22  2.1044591  120.576624  8191.82823
#> 2814 -4154.3748330  7032.5024949  71  23  2.1043786  120.572011  8167.92027
#> 2838 -4137.0185228  7002.9967677  71  24  2.1043864  120.572459  8133.68834
#> 2839 -4124.2905621  6974.6481278  71  25  2.1048134  120.596927  8102.80749
#> 2840 -4112.7196886  6954.9776430  71  26  2.1048199  120.597298  8079.98622
#> 2841 -4097.6775532  6933.5715271  71  27  2.1045651  120.582700  8053.90436
#> 2842 -4087.8423108  6914.4795860  71  28  2.1047203  120.591592  8032.46430
#> 2815 -4153.2177456  7484.3451021  72   1  2.0774095  119.026799  8559.47658
#> 2816 -4140.4897849  7459.4677242  72   2  2.0775199  119.033124  8531.54818
#> 2817 -4128.3403678  7442.1114141  72   3  2.0772615  119.018316  8510.47687
#> 2818 -4119.6622127  7425.9121913  72   4  2.0772932  119.020133  8492.10154
#> 2819 -4109.2484266  7409.7129685  72   5  2.0771459  119.011695  8472.88433
#> 2820 -4100.5702715  7390.6210274  72   6  2.0773435  119.023017  8451.97940
#> 2821 -4090.1564855  7369.2149115  72   7  2.0774953  119.031714  8428.20909
#> 2822 -4078.0070684  7353.0156887  72   8  2.0771669  119.012897  8408.14970
#> 2823 -4066.4361949  7331.6095729  72   9  2.0771983  119.014696  8383.81788
#> 2824 -4056.6009525  7310.7820007  72  10  2.0773779  119.024983  8360.83397
#> 2825 -4050.2369721  7295.7398653  72  11  2.0775856  119.036887  8344.59344
#> 2826 -4045.0300791  7287.6402539  72  12  2.0775111  119.032617  8334.98463
#> 2827 -4038.0875551  7272.0195748  72  13  2.0776927  119.043023  8317.95767
#> 2828 -4029.9879437  7257.5559830  72  14  2.0776855  119.042612  8301.38071
#> 2829 -4024.7810506  7241.9353039  72  15  2.0780514  119.063573  8285.19701
#> 2830 -4020.7312449  7232.6786051  72  16  2.0781670  119.070198  8275.13864
#> 2831 -4017.8385266  7225.7360811  72  17  2.0782692  119.076054  8267.66523
#> 2832 -4013.7887209  7217.0579260  72  18  2.0783513  119.080757  8258.11268
#> 2833 -4006.2676531  7204.9085089  72  19  2.0782703  119.076116  8243.83934
#> 2834 -3998.1680417  7189.8663735  72  20  2.0782984  119.077726  8226.75672
#> 2835 -3991.8040614  7177.7169564  72  21  2.0783401  119.080116  8213.04574
#> 2836 -3984.8615373  7161.5177336  72  22  2.0785605  119.092742  8195.51449
#> 2837 -3973.8692076  7140.1116177  72  23  2.0786587  119.098371  8171.46440
#> 2843 -3956.5128974  7110.6058905  72  24  2.0785583  119.092620  8137.24219
#> 2844 -3942.0493056  7083.4143380  72  25  2.0786302  119.096736  8106.44875
#> 2845 -3933.9496942  7063.7438531  72  26  2.0789379  119.114367  8085.32234
#> 2846 -3922.3788208  7041.7591936  72  27  2.0790108  119.118546  8060.48560
#> 2847 -3913.1221221  7023.2457962  72  28  2.0791255  119.125117  8039.80760
#> 2848 -3916.7375888  7627.0530544  73   1  2.0452110  117.181960  8573.95892
#> 2849 -3908.0676313  7611.8806289  73   2  2.0451197  117.176727  8556.50158
#> 2850 -3898.3139292  7593.4569693  73   3  2.0450890  117.174968  8535.65699
#> 2851 -3888.5602271  7570.6983311  73   4  2.0452907  117.186527  8510.95611
#> 2852 -3882.0577590  7554.4421609  73   5  2.0454842  117.197611  8493.52511
#> 2853 -3870.1365676  7531.6835226  73   6  2.0454604  117.196251  8467.83406
#> 2854 -3858.2153761  7508.9248844  73   7  2.0454366  117.194882  8442.14302
#> 2855 -3849.5454187  7487.2499908  73   8  2.0456972  117.209816  8418.90209
#> 2856 -3836.5404825  7464.4913526  73   9  2.0455591  117.201901  8392.71553
#> 2857 -3822.4518017  7440.6489696  73  10  2.0453640  117.190726  8365.06993
#> 2858 -3813.7818443  7425.4765441  73  11  2.0452707  117.185381  8347.61246
#> 2859 -3807.2793762  7413.5553526  73  12  2.0452302  117.183059  8334.03739
#> 2860 -3798.6094188  7397.2991825  73  13  2.0451958  117.181089  8315.61596
#> 2861 -3791.0232060  7384.2942463  73  14  2.0450985  117.175513  8300.58181
#> 2862 -3782.8822667  7368.6828385  73  15  2.0450850  117.174736  8282.97561
#> 2863 -3779.0804083  7360.4454786  73  16  2.0451309  117.177367  8273.91119
#> 2864 -3775.2785499  7352.2081187  73  17  2.0451769  117.180003  8264.84678
#> 2865 -3772.1103346  7345.2380450  73  18  2.0452211  117.182539  8257.19918
#> 2866 -3765.1402608  7331.9315405  73  19  2.0452064  117.181694  8242.17819
#> 2867 -3759.4374732  7319.8923222  73  20  2.0452582  117.184665  8228.86345
#> 2868 -3753.7346856  7307.2194609  73  21  2.0453455  117.189665  8214.98511
#> 2869 -3746.7646118  7291.3783842  73  22  2.0454722  117.196924  8197.70967
#> 2870 -3735.3590366  7273.0027352  73  23  2.0452586  117.184688  8176.15288
#> 2871 -3721.4188891  7245.1224402  73  24  2.0453000  117.187060  8144.98359
#> 2872 -3709.3796708  7217.8757882  73  25  2.0455144  117.199343  8115.24667
#> 2873 -3700.5086678  7200.1337823  73  26  2.0455415  117.200897  8095.41172
#> 2874 -3688.4694495  7175.4217026  73  27  2.0456145  117.205076  8067.92932
#> 2875 -3677.0638743  7152.6105522  73  28  2.0456499  117.207105  8042.42727
#> 2876 -3621.6567086  7798.0310513  74   1  2.0055870  114.911673  8598.00474
#> 2877 -3610.3348111  7783.4743259  74   2  2.0051049  114.884048  8580.03438
#> 2878 -3602.2477414  7769.7263075  74   3  2.0049237  114.873669  8564.15995
#> 2879 -3598.2042066  7755.1695821  74   4  2.0052108  114.890118  8549.25311
#> 2880 -3589.3084300  7736.5693219  74   5  2.0051826  114.888499  8528.63646
#> 2881 -3578.7952394  7713.9255269  74   6  2.0051817  114.888451  8503.67111
#> 2882 -3569.0907558  7691.2817318  74   7  2.0052674  114.893360  8479.04614
#> 2883 -3553.7253235  7667.8292298  74   8  2.0047863  114.865794  8451.30574
#> 2884 -3539.1685981  7641.9506069  74   9  2.0045102  114.849974  8421.70550
#> 2885 -3522.9944588  7614.4545701  74  10  2.0041381  114.828656  8389.95878
#> 2886 -3514.0986822  7595.8543099  74  11  2.0041067  114.826855  8369.34240
#> 2887 -3507.6290265  7582.9149984  74  12  2.0040542  114.823845  8354.88248
#> 2888 -3500.3506638  7565.1234452  74  13  2.0041578  114.829781  8335.67919
#> 2889 -3491.4548872  7548.9493059  74  14  2.0040037  114.820953  8317.26475
#> 2890 -3486.6026454  7533.5838736  74  15  2.0042502  114.835076  8301.28207
#> 2891 -3481.9790411  7527.7936560  74  16  2.0040375  114.822889  8294.08557
#> 2892 -3477.5006026  7519.3343833  74  17  2.0039755  114.819339  8284.52775
#> 2893 -3475.0125812  7510.8751105  74  18  2.0041317  114.828288  8275.80554
#> 2894 -3466.5533085  7496.4445864  74  19  2.0039358  114.817064  8259.15694
#> 2895 -3460.5820571  7484.9996880  74  20  2.0038611  114.812783  8246.26270
#> 2896 -3455.6060143  7473.5547896  74  21  2.0038958  114.814775  8233.78614
#> 2897 -3447.1467416  7459.1242655  74  22  2.0036985  114.803465  8217.13791
#> 2898 -3438.1898646  7442.7033243  74  23  2.0035470  114.794786  8198.47439
#> 2899 -3425.7497576  7418.8183190  74  24  2.0033907  114.785834  8171.57431
#> 2900 -3412.3144421  7389.4596665  74  25  2.0034043  114.786611  8139.28768
#> 2901 -3404.3527736  7371.5459125  74  26  2.0034390  114.788600  8119.68638
#> 2902 -3391.9126667  7338.7040301  74  27  2.0037453  114.806146  8084.65512
#> 2903 -3377.9797469  7317.3070461  74  28  2.0032898  114.780053  8059.38767
#> 2904 -3295.9472657  7969.8986607  75   1  1.9629284  112.467514  8624.53205
#> 2905 -3290.8408326  7961.3879389  75   2  1.9627582  112.457762  8614.71597
#> 2906 -3280.1898764  7943.6054494  75   3  1.9624033  112.437426  8594.21394
#> 2907 -3274.4294849  7924.2295870  75   4  1.9626448  112.451265  8574.10654
#> 2908 -3264.4797177  7907.4720843  75   5  1.9623180  112.432539  8554.81985
#> 2909 -3255.0536225  7881.8121584  75   6  1.9624445  112.439788  8527.50473
#> 2910 -3242.4854955  7858.2469203  75   7  1.9621362  112.422120  8500.92682
#> 2911 -3232.0120563  7832.0633224  75   8  1.9621722  112.424186  8472.72789
#> 2912 -3218.9202574  7807.9744124  75   9  1.9618273  112.404425  8445.46695
#> 2913 -3201.1154108  7777.0777669  75  10  1.9612703  112.372508  8410.11762
#> 2914 -3190.6419717  7754.0362008  75  11  1.9611611  112.366257  8384.82401
#> 2915 -3186.9762680  7741.9917458  75  12  1.9613037  112.374423  8372.29084
#> 2916 -3178.5975167  7723.6632273  75  13  1.9612114  112.369133  8352.15277
#> 2917 -3170.2187654  7710.0477564  75  14  1.9609035  112.351493  8336.37352
#> 2918 -3164.4583738  7695.3849416  75  15  1.9609333  112.353204  8320.62174
#> 2919 -3161.2459045  7689.4505412  75  16  1.9608474  112.348283  8313.91155
#> 2920 -3158.4103702  7685.5516815  75  17  1.9607102  112.340421  8309.22744
#> 2921 -3154.5115104  7677.3995202  75  18  1.9606491  112.336918  8300.20519
#> 2922 -3148.1315582  7662.8674067  75  19  1.9606034  112.334302  8284.33879
#> 2923 -3143.8782566  7649.7530603  75  20  1.9607303  112.341571  8270.59202
#> 2924 -3138.9160715  7638.4109229  75  21  1.9606966  112.339641  8258.21503
#> 2925 -3133.2450028  7624.2332512  75  22  1.9607140  112.340638  8242.94589
#> 2926 -3124.3839580  7605.4478361  75  23  1.9605857  112.333284  8222.20238
#> 2927 -3111.3908835  7582.5321456  75  24  1.9601817  112.310140  8196.06899
#> 2928 -3100.5712150  7551.8042869  75  25  1.9603845  112.321757  8163.53415
#> 2929 -3089.7515465  7531.4633101  75  26  1.9601040  112.305687  8140.60834
#> 2930 -3078.9318779  7503.7649586  75  27  1.9601660  112.309239  8110.87604
#> 2931 -3068.9777829  7480.3944746  75  28  1.9601243  112.306848  8085.47625
#> 2932 -3027.3342123  8084.5610442  76   1  1.9290923  110.528850  8632.77937
#> 2933 -3022.9046848  8071.2724614  76   2  1.9291517  110.532252  8618.78135
#> 2934 -3015.8174406  8057.9838787  76   3  1.9289220  110.519092  8603.85141
#> 2935 -3011.3879130  8042.9234848  76   4  1.9290537  110.526633  8588.19395
#> 2936 -3005.1865744  8026.9771855  76   5  1.9290284  110.525188  8571.08564
#> 2937 -2995.4416137  8001.2859255  76   6  1.9290146  110.524394  8543.60854
#> 2938 -2982.1530309  7978.2523820  76   7  1.9285016  110.495001  8517.37916
#> 2939 -2972.4080702  7951.6752164  76   8  1.9285225  110.496198  8489.07230
#> 2940 -2960.8912984  7924.2121453  76   9  1.9283840  110.488262  8459.31530
#> 2941 -2944.0590936  7888.7759246  76  10  1.9279844  110.465370  8420.22978
#> 2942 -2936.0859439  7866.6282866  76  11  1.9280170  110.467238  8396.69228
#> 2943 -2929.8846053  7851.5678928  76  12  1.9279521  110.463521  8380.41420
#> 2944 -2924.5691722  7832.9638769  76  13  1.9281344  110.473966  8361.12600
#> 2945 -2918.3678335  7818.7893886  76  14  1.9280324  110.468119  8345.67782
#> 2946 -2912.1664949  7804.6149003  76  15  1.9279300  110.462251  8330.22973
#> 2947 -2909.2610174  7799.0887267  76  16  1.9278350  110.456811  8324.03656
#> 2948 -2907.0968922  7793.0291762  76  17  1.9278459  110.457432  8317.60278
#> 2949 -2904.9327670  7787.8352757  76  18  1.9278203  110.455969  8311.98007
#> 2950 -2898.0075664  7772.6863994  76  19  1.9276764  110.447721  8295.36628
#> 2951 -2894.1121411  7761.0001233  76  20  1.9277286  110.450714  8283.05547
#> 2952 -2890.2167157  7750.6123224  76  21  1.9277261  110.450572  8271.96132
#> 2953 -2884.5899902  7738.9260464  76  22  1.9275822  110.442324  8259.04569
#> 2954 -2876.7991395  7720.3145697  76  23  1.9274851  110.436762  8238.88526
#> 2955 -2865.1128635  7694.7778925  76  24  1.9272374  110.422568  8210.87563
#> 2956 -2854.7250626  7665.7786149  76  25  1.9272844  110.425259  8180.07439
#> 2957 -2846.0685618  7645.4358381  76  26  1.9271602  110.418145  8157.98967
#> 2958 -2832.6509856  7613.4067853  76  27  1.9269878  110.408266  8123.29210
#> 2959 -2822.2631847  7591.3327083  76  28  1.9267361  110.393846  8098.98153
#> 2960 -2796.2062268  8170.6575054  77   1  1.9005282  108.892247  8635.87942
#> 2961 -2790.2974342  8155.8855241  77   2  1.9004346  108.886880  8619.99005
#> 2962 -2786.6044389  8143.3293400  77   3  1.9005008  108.890677  8606.91449
#> 2963 -2782.1728445  8127.0801606  77   4  1.9006252  108.897800  8590.10580
#> 2964 -2777.0026511  8112.3081793  77   5  1.9006127  108.897084  8574.45553
#> 2965 -2768.8780614  8085.7186130  77   6  1.9007209  108.903284  8546.66784
#> 2966 -2760.0148726  8063.5606411  77   7  1.9005793  108.895173  8522.83358
#> 2967 -2750.4130848  8039.1868720  77   8  1.9004391  108.887140  8496.66392
#> 2968 -2742.2884951  8011.8587066  77   9  1.9005760  108.894982  8468.17726
#> 2969 -2724.5621176  7978.6217487  77  10  1.8998634  108.854154  8430.99305
#> 2970 -2714.1557743  7953.7582121  77  11  1.8996476  108.841793  8404.10086
#> 2971 -2710.9656261  7939.0835304  77  12  1.8998527  108.853540  8389.18244
#> 2972 -2704.5853297  7919.9426411  77  13  1.8998703  108.854550  8369.00671
#> 2973 -2700.7571519  7903.3538704  77  14  1.9000784  108.866474  8352.07110
#> 2974 -2693.7388258  7888.0411590  77  15  1.8998757  108.854859  8335.31176
#> 2975 -2690.5781208  7881.3611463  77  16  1.8997758  108.849133  8327.96879
#> 2976 -2689.1570057  7876.7425222  77  17  1.8997934  108.850146  8323.13872
#> 2977 -2687.3806118  7871.4133405  77  18  1.8997983  108.850427  8317.52142
#> 2978 -2681.6961513  7855.0705167  77  19  1.8997864  108.849742  8300.21850
#> 2979 -2677.7880848  7843.7015958  77  20  1.8997833  108.849567  8288.19665
#> 2980 -2673.5247394  7831.6221173  77  21  1.8997674  108.848653  8275.38758
#> 2981 -2668.9061153  7819.5426389  77  22  1.8997107  108.845404  8262.46373
#> 2982 -2664.6427700  7803.1998151  77  23  1.8998616  108.854050  8245.61996
#> 2983 -2651.4377576  7773.4506972  77  24  1.8995106  108.833939  8213.20022
#> 2984 -2642.1416269  7743.5702771  77  25  1.8996142  108.839876  8181.91866
#> 2985 -2635.5015335  7723.6499971  77  26  1.8996324  108.840918  8160.92137
#> 2986 -2624.2133748  7689.1215117  77  27  1.8996899  108.844214  8124.59756
#> 2987 -2617.5732815  7665.2171756  77  28  1.8998673  108.854377  8099.82989
#> 2988 -2558.4764507  8240.9132690  78   1  1.8718219  107.247494  8628.93118
#> 2989 -2555.1564040  8230.9531290  78   2  1.8717966  107.246048  8618.43452
#> 2990 -2551.1723480  8217.6729423  78   3  1.8718120  107.246929  8604.57024
#> 2991 -2546.5242827  8204.3927556  78   4  1.8717536  107.243583  8590.50909
#> 2992 -2542.5402266  8187.7925222  78   5  1.8718838  107.251041  8573.47404
#> 2993 -2536.5641426  8164.5521955  78   6  1.8720224  107.258981  8549.50702
#> 2994 -2529.2600399  8142.6398875  78   7  1.8719668  107.255796  8526.41429
#> 2995 -2519.2998999  8117.4075327  78   8  1.8717283  107.242132  8499.36333
#> 2996 -2508.6757506  8091.5111687  78   9  1.8714366  107.225421  8471.48198
#> 2997 -2494.0675452  8055.6546646  78  10  1.8710412  107.202764  8432.90845
#> 2998 -2486.0994332  8029.7583005  78  11  1.8710468  107.203087  8405.81399
#> 2999 -2483.4433958  8017.1421232  78  12  1.8711891  107.211239  8392.97676
#> 3000 -2476.1392931  7995.2298151  78  13  1.8711302  107.207862  8369.88444
#> 3001 -2471.4912278  7978.6295817  78  14  1.8711866  107.211093  8352.65221
#> 3002 -2466.6659182  7965.3493950  78  15  1.8711050  107.206422  8338.53894
#> 3003 -2463.8345240  7959.6866066  78  16  1.8709815  107.199343  8332.29209
#> 3004 -2462.4188269  7954.0238181  78  17  1.8710202  107.201559  8326.46392
#> 3005 -2460.5312308  7948.3610297  78  18  1.8710047  107.200674  8320.49620
#> 3006 -2456.2841394  7933.7321595  78  19  1.8710371  107.202529  8305.26566
#> 3007 -2452.9808462  7922.4065826  78  20  1.8710605  107.203870  8293.46979
#> 3008 -2449.2056539  7912.4967028  78  21  1.8709790  107.199199  8282.88672
#> 3009 -2444.9585625  7898.8116308  78  22  1.8709777  107.199126  8268.55777
#> 3010 -2440.7114712  7882.2951644  78  23  1.8710779  107.204866  8251.52407
#> 3011 -2427.4982981  7855.3969193  78  24  1.8705104  107.172352  8221.92245
#> 3012 -2418.0603174  7824.2515828  78  25  1.8705322  107.173599  8189.37901
#> 3013 -2412.3975289  7804.4318233  78  26  1.8705863  107.176698  8168.77089
#> 3014 -2401.5438511  7772.3426887  78  27  1.8704765  107.170409  8134.90773
#> 3015 -2392.5777694  7750.6353330  78  28  1.8702104  107.155164  8111.52122
#> 3016 -2319.3202301  8311.0130844  79   1  1.8429386  105.592605  8628.56795
#> 3017 -2316.9978050  8302.2605732  79   2  1.8429520  105.593374  8619.51330
#> 3018 -2314.0180843  8290.3416905  79   3  1.8429908  105.595596  8607.23214
#> 3019 -2308.5552631  8278.4228078  79   4  1.8427514  105.581880  8594.28366
#> 3020 -2304.5823022  8266.0073050  79   5  1.8426941  105.578595  8581.25727
#> 3021 -2299.6161011  8246.6391207  79   6  1.8427429  105.581391  8561.26690
#> 3022 -2292.1667994  8223.7945955  79   7  1.8426212  105.574416  8537.26105
#> 3023 -2283.2276374  8196.9771095  79   8  1.8424554  105.564917  8509.02827
#> 3024 -2273.2952351  8171.1528636  79   9  1.8421443  105.547091  8481.48633
#> 3025 -2262.3695927  8136.8860759  79  10  1.8419854  105.537991  8445.54505
#> 3026 -2248.9608496  8111.0618301  79  11  1.8412725  105.497142  8417.07484
#> 3027 -2245.4845089  8099.1429474  79  12  1.8412528  105.496015  8404.66044
#> 3028 -2240.0216876  8077.2916625  79  13  1.8413213  105.499937  8382.14398
#> 3029 -2234.0622463  8060.4065787  79  14  1.8411742  105.491509  8364.28050
#> 3030 -2231.0825256  8047.9910759  79  15  1.8412274  105.494560  8351.52020
#> 3031 -2228.5994250  8041.0383943  79  16  1.8411632  105.490883  8344.15687
#> 3032 -2227.1095647  8036.5688133  79  17  1.8411342  105.489220  8339.45174
#> 3033 -2226.1163245  8032.0992323  79  18  1.8411626  105.490846  8334.87924
#> 3034 -2220.6535033  8016.7040088  79  19  1.8410240  105.482907  8318.58432
#> 3035 -2217.1771625  8004.7851261  79  20  1.8410038  105.481746  8306.16996
#> 3036 -2213.2042016  7993.3628636  79  21  1.8409097  105.476358  8294.10168
#> 3037 -2209.7278608  7980.4507406  79  22  1.8409212  105.477017  8280.73012
#> 3038 -2205.2582798  7962.5724166  79  23  1.8409773  105.480230  8262.30740
#> 3039 -2196.3191178  7937.2447909  79  24  1.8407521  105.467326  8235.51289
#> 3040 -2187.3799558  7901.9847630  79  25  1.8408482  105.472833  8199.14595
#> 3041 -2180.4272742  7883.1131987  79  26  1.8406445  105.461162  8179.10367
#> 3042 -2171.9847323  7850.3362713  79  27  1.8407183  105.465388  8145.26226
#> 3043 -2164.5354306  7829.4782266  79  28  1.8405191  105.453978  8123.17321
#> 3044 -2124.1343406  8368.5172314  80   1  1.8193712  104.242293  8633.88831
#> 3045 -2122.0379575  8358.7341102  80   2  1.8194147  104.244784  8623.89013
#> 3046 -2118.5439856  8343.3606341  80   3  1.8194607  104.247422  8608.12960
#> 3047 -2112.9536307  8331.4811298  80   4  1.8191705  104.230792  8595.24001
#> 3048 -2110.8572476  8320.9992142  80   5  1.8192339  104.234427  8584.56442
#> 3049 -2105.9656870  8302.1317663  80   6  1.8192220  104.233744  8565.07346
#> 3050 -2096.8813602  8283.2643183  80   7  1.8187344  104.205807  8544.55260
#> 3051 -2090.5922109  8257.4089266  80   8  1.8187636  104.207476  8517.94447
#> 3052 -2080.1102953  8228.0595631  80   9  1.8184150  104.187507  8486.92070
#> 3053 -2066.8332023  8191.0234615  80  10  1.8179658  104.161770  8447.76094
#> 3054 -2058.4476699  8169.3608361  80  11  1.8176298  104.142518  8424.70553
#> 3055 -2054.2549036  8156.7825374  80  12  1.8175119  104.135759  8411.48409
#> 3056 -2048.6645487  8136.5175007  80  13  1.8174556  104.132536  8390.46742
#> 3057 -2043.7729881  8120.4452302  80  14  1.8173578  104.126931  8373.68729
#> 3058 -2039.5246810  8106.0049480  80  15  1.8172866  104.122850  8358.64685
#> 3059 -2038.2376837  8100.8569585  80  16  1.8172875  104.122905  8353.34043
#> 3060 -2036.0926880  8094.4219716  80  17  1.8172264  104.119404  8346.57657
#> 3061 -2034.8056907  8089.7029812  80  18  1.8172148  104.118738  8341.68619
#> 3062 -2030.9446985  8077.6910057  80  19  1.8171170  104.113136  8329.09529
#> 3063 -2027.5127055  8063.1050355  80  20  1.8171445  104.114709  8314.11274
#> 3064 -2023.2227143  8051.9510582  80  21  1.8169710  104.104768  8302.24945
#> 3065 -2020.2197204  8039.5100836  80  22  1.8169854  104.105593  8289.45174
#> 3066 -2015.9297292  8022.7791178  80  23  1.8169753  104.105017  8272.17973
#> 3067 -2003.9177537  7995.3231738  80  24  1.8163737  104.070548  8242.62574
#> 3068 -1993.6217747  7961.4322429  80  25  1.8161608  104.058348  8207.24869
#> 3069 -1986.3287896  7942.1272823  80  26  1.8158694  104.041655  8186.75075
#> 3070 -1977.7488071  7909.0943497  80  27  1.8158315  104.039484  8152.62312
#> 3071 -1970.4558219  7886.3573960  80  28  1.8156397  104.028492  8128.79629
#> 3072 -2388.2096535  8291.3660073  81   1  1.8512409  106.068291  8628.45847
#> 3073 -2386.3081722  8284.3939093  81   2  1.8512528  106.068972  8621.23246
#> 3074 -2381.8713825  8271.0835403  81   3  1.8511855  106.065117  8607.21408
#> 3075 -2379.3360742  8257.7731714  81   4  1.8513306  106.073431  8593.72201
#> 3076 -2374.8992845  8245.0966295  81   5  1.8512428  106.068399  8580.31264
#> 3077 -2369.8286678  8223.5465084  81   6  1.8513704  106.075711  8558.20104
#> 3078 -2364.1242240  8201.3625602  81   7  1.8514479  106.080152  8535.30499
#> 3079 -2356.5182988  8172.8403410  81   8  1.8515175  106.084138  8505.79201
#> 3080 -2347.6447195  8148.7549115  81   9  1.8512989  106.071616  8480.19117
#> 3081 -2336.8696590  8109.4576317  81  10  1.8513612  106.075181  8439.44684
#> 3082 -1937.5585907  8411.1593278  82   1  1.7972025  102.972120  8631.43873
#> 3083 -1935.2461024  8405.1028042  82   2  1.7970989  102.966181  8625.01772
#> 3084 -1931.9616864  8392.7047459  82   3  1.7970503  102.963395  8612.19884
#> 3085 -1929.3675874  8382.3283499  82   4  1.7970270  102.962061  8601.50498
#> 3086 -1926.7734884  8370.0990259  82   5  1.7970520  102.963496  8589.00540
#> 3087 -1922.3264615  8350.8285761  82   6  1.7970508  102.963424  8569.22849
#> 3088 -1917.8794346  8332.6698830  82   7  1.7970203  102.961681  8550.53501
#> 3089 -1913.0618221  8309.6935774  82   8  1.7970741  102.964763  8527.06356
#> 3090 -1906.0206962  8281.1584882  82   9  1.7970200  102.961663  8497.67620
#> 3091 -1897.4972280  8239.2823184  82  10  1.7971485  102.969026  8454.95528
#> 3092 -1889.7149310  8217.7883551  82  11  1.7968212  102.950272  8432.26351
#> 3093 -1887.1208320  8205.1884456  82  12  1.7968563  102.952284  8419.40274
#> 3094 -1881.9326339  8185.5474102  82  13  1.7967785  102.947823  8399.09857
#> 3095 -1878.2267782  8169.2416449  82  14  1.7967835  102.948110  8382.37704
#> 3096 -1873.7797513  8154.4182220  82  15  1.7966625  102.941176  8366.93415
#> 3097 -1871.9346435  8149.3372385  82  16  1.7965835  102.936651  8361.56904
#> 3098 -1870.1924625  8144.4010591  82  17  1.7965125  102.932586  8356.36814
#> 3099 -1869.0310085  8139.1745162  82  18  1.7965171  102.932845  8351.01423
#> 3100 -1865.5466466  8124.3659780  82  19  1.7965073  102.932283  8335.80151
#> 3101 -1861.1911942  8109.8478033  82  20  1.7963876  102.925426  8320.67690
#> 3102 -1857.4164688  8097.0718095  82  21  1.7962887  102.919762  8307.38032
#> 3103 -1854.2224704  8084.8765428  82  22  1.7962421  102.917092  8294.77966
#> 3104 -1846.9633830  8064.5510982  82  23  1.7959361  102.899559  8273.34625
#> 3105 -1840.2850226  8041.0316552  82  24  1.7957834  102.890812  8248.92957
#> 3106 -1832.1548448  8008.5109439  82  25  1.7957019  102.886138  8215.41471
#> 3107 -1827.5090289  7989.0565898  82  26  1.7956787  102.884809  8195.41423
#> 3108 -1819.6692146  7957.1166054  82  27  1.7956149  102.881158  8162.53029
#> 3109 -1814.7330352  7937.6622513  82  28  1.7955566  102.877816  8142.46511
#> 3110 -1786.5646655  8442.9629159  83   1  1.7793243  101.947771  8629.91519
#> 3111 -1784.0717075  8433.0667025  83   2  1.7792790  101.945177  8619.71727
#> 3112 -1782.4374251  8424.0781494  83   3  1.7793094  101.946917  8610.58510
#> 3113 -1780.3945722  8413.8638845  83   4  1.7793228  101.947689  8600.16920
#> 3114 -1777.5345780  8404.0581903  83   5  1.7792334  101.942566  8589.98389
#> 3115 -1772.6317309  8384.0382311  83   6  1.7791571  101.938193  8569.38273
#> 3116 -1769.3631661  8364.8354131  83   7  1.7792477  101.943382  8549.91915
#> 3117 -1762.8260366  8342.7726010  83   8  1.7790331  101.931087  8526.98131
#> 3118 -1756.6974777  8315.3983711  83   9  1.7789934  101.928815  8498.93147
#> 3119 -1748.9346363  8277.4013058  83  10  1.7790240  101.930567  8460.15040
#> 3120 -1741.5803656  8254.1127818  83  11  1.7787417  101.914395  8435.84495
#> 3121 -1739.1289421  8241.0385228  83  12  1.7787774  101.916440  8422.54625
#> 3122 -1734.6346655  8223.8785578  83  13  1.7786758  101.910617  8404.82813
#> 3123 -1730.1403890  8205.9014516  83  14  1.7785939  101.905921  8386.31054
#> 3124 -1726.4632536  8190.7843396  83  15  1.7785366  101.902641  8370.76003
#> 3125 -1724.8395587  8185.0084605  83  16  1.7784891  101.899918  8364.77346
#> 3126 -1723.6200320  8177.9961822  83  17  1.7785193  101.901650  8357.66041
#> 3127 -1722.7053870  8173.1180755  83  18  1.7785326  101.902411  8352.69854
#> 3128 -1718.4370436  8158.7886370  83  19  1.7783861  101.894020  8337.79695
#> 3129 -1714.7784636  8142.3250269  83  20  1.7783637  101.892733  8320.93276
#> 3130 -1712.0345286  8129.2151152  83  21  1.7783657  101.892848  8307.53878
#> 3131 -1709.9003569  8117.3247301  83  22  1.7784093  101.895348  8295.46382
#> 3132 -1705.9368952  8098.1171850  83  23  1.7784191  101.895908  8275.85178
#> 3133 -1698.0099718  8073.4217698  83  24  1.7780959  101.877392  8250.05315
#> 3134 -1690.0830484  8042.6287213  83  25  1.7779232  101.867496  8218.28799
#> 3135 -1686.7293501  8025.2504661  83  26  1.7779588  101.869535  8200.59150
#> 3136 -1680.6317167  7992.9330093  83  27  1.7780420  101.874304  8167.71088
#> 3137 -1676.3633734  7975.5547541  83  28  1.7779683  101.870078  8149.82624
#> 3138 -2014.5443676  8393.9087405  84   1  1.8063420  103.495774  8632.27044
#> 3141 -2012.1432592  8384.3199953  84   2  1.8063308  103.495129  8622.38611
#> 3140 -2010.0628520  8374.7501218  84   3  1.8063552  103.496528  8612.59498
#> 3142 -2006.7342003  8363.5159224  84   4  1.8062837  103.492432  8600.89418
#> 3143 -2002.9894672  8353.5299675  84   5  1.8061310  103.483685  8590.31022
#> 3144 -1997.5804082  8333.9741390  84   6  1.8060493  103.479004  8570.03223
#> 3145 -1993.4195937  8314.4183105  84   7  1.8061092  103.482435  8550.04523
#> 3146 -1988.4266162  8293.6142377  84   8  1.8061086  103.482402  8528.65039
#> 3147 -1978.4406612  8263.6563728  84   9  1.8057878  103.464019  8497.19036
#> 3148 -1967.6225434  8227.8733675  84  10  1.8055290  103.449192  8459.87226
#> 3149 -1849.4554096  8429.6728741  85   1  1.7867726  102.374528  8630.17208
#> 3150 -1848.6232467  8421.3512449  85   2  1.7868851  102.380977  8621.86550
#> 3151 -1846.9589209  8411.7813714  85   3  1.7869346  102.383813  8612.16135
#> 3152 -1844.4624321  8403.0436608  85   4  1.7868690  102.380054  8603.09156
#> 3153 -1841.9659434  8392.2255430  85   5  1.7868552  102.379259  8591.98976
#> 3154 -1837.3890474  8371.8375516  85   6  1.7868435  102.378593  8571.09459
#> 3155 -1832.8121513  8353.5299675  85   7  1.7867797  102.374936  8552.23148
#> 3156 -1827.4030924  8330.6454874  85   8  1.7867353  102.372389  8528.71950
#> 3157 -1820.7457891  8301.5197854  85   9  1.7867044  102.370623  8498.84380
#> 3158 -1810.3437527  8264.9046172  85  10  1.7864307  102.354937  8460.85060
#> 3159 -1707.9877143  8460.0468204  86   1  1.7700073  101.413946  8630.73660
#> 3160 -1704.6590626  8447.5643767  86   2  1.7699153  101.408677  8617.84233
#> 3161 -1702.5786554  8438.8266661  86   3  1.7698792  101.406607  8608.86575
#> 3162 -1701.3304110  8430.0889555  86   4  1.7699378  101.409968  8600.05378
#> 3163 -1698.0017593  8419.2708377  86   5  1.7698071  101.402478  8588.79103
#> 3164 -1693.8409448  8400.1310906  86   6  1.7697727  101.400507  8569.20647
#> 3165 -1689.2640487  8381.4074251  86   7  1.7696808  101.395243  8549.94757
#> 3166 -1684.6871527  8359.7711893  86   8  1.7696560  101.393820  8527.83355
#> 3167 -1677.6137679  8332.3098132  86   9  1.7694785  101.383648  8499.51615
#> 3168 -1668.8760574  8294.8624821  86  10  1.7693396  101.375694  8461.08095
#> 3169 -1625.1875044  8477.5222416  87   1  1.7602038  100.852250  8631.89538
#> 3170 -1622.2749342  8461.7111463  87   2  1.7602173  100.853024  8615.81868
#> 3171 -1620.6106084  8452.1412727  87   3  1.7602368  100.854138  8606.10660
#> 3172 -1619.3623640  8442.5713992  87   4  1.7603038  100.857978  8596.47290
#> 3173 -1616.4497938  8431.3371999  87   5  1.7602171  100.853012  8584.89120
#> 3174 -1611.8728978  8413.0296158  87   6  1.7600948  100.846003  8566.04936
#> 3175 -1608.5442461  8392.2255430  87   7  1.7601703  100.850331  8544.99059
#> 3176 -1605.2155945  8372.2536330  87   8  1.7602279  100.853627  8524.74915
#> 3177 -1600.2226170  8345.6244198  87   9  1.7602409  100.854373  8497.65611
#> 3178 -1591.9009878  8307.7610072  87  10  1.7601176  100.847311  8458.90310
#> 3179 -1549.4606792  8478.3544045  88   1  1.7515564  100.356790  8618.77728
#> 3180 -1548.6285163  8471.6971012  88   2  1.7516003  100.359306  8612.07885
#> 3181 -1547.3802720  8461.2950648  88   3  1.7516750  100.363586  8601.62193
#> 3182 -1546.5481090  8451.7251913  88   4  1.7517801  100.369608  8592.05853
#> 3183 -1544.8837832  8441.3231549  88   5  1.7518075  100.371178  8581.52682
#> 3184 -1541.5551316  8423.8477337  88   6  1.7517926  100.370320  8563.73767
#> 3185 -1538.2264799  8405.5401496  88   7  1.7517950  100.370462  8545.12995
#> 3186 -1533.6495839  8384.3199953  88   8  1.7517150  100.365876  8523.43257
#> 3187 -1530.3209322  8358.9390264  88   9  1.7518671  100.374591  8497.86701
#> 3188 -1521.9993031  8321.0756138  88  10  1.7517055  100.365332  8459.12414
#> 3189 -2064.1534413  8383.9039138  89   1  1.8121994  103.831378  8634.26744
#> 3190 -2061.2408711  8374.3340403  89   2  1.8121368  103.827789  8624.27878
#> 3191 -2058.3283009  8363.5159224  89   3  1.8121086  103.826175  8613.07808
#> 3192 -2054.1674864  8351.0334787  89   4  1.8119857  103.819131  8599.96304
#> 3193 -2050.8388347  8335.2223834  89   5  1.8120491  103.822764  8583.81454
#> 3194 -2045.4297758  8317.3308807  89   6  1.8119349  103.816224  8565.14892
#> 3195 -2040.8528798  8298.6072152  89   7  1.8119381  103.816404  8545.87399
#> 3196 -2035.4438208  8274.0584092  89   8  1.8120097  103.820506  8520.74375
#> 3197 -2025.8739473  8242.8523000  89   9  1.8117931  103.808097  8488.15523
#> 3198 -2018.8005625  8207.4853761  89  10  1.8119791  103.818754  8452.12233
#> 3199 -1890.2313924  8420.9351635  90   1  1.7916045  102.651374  8630.47645
#> 3200 -1888.5670666  8413.8617787  90   2  1.7915958  102.650877  8623.21028
#> 3201 -1885.2384149  8403.4597423  90   3  1.7914832  102.644426  8612.33183
#> 3202 -1883.5740891  8393.8898688  90   4  1.7915379  102.647562  8602.62974
#> 3203 -1880.2454374  8382.6556695  90   5  1.7914462  102.642306  8590.93935
#> 3204 -1876.0846229  8364.3480854  90   6  1.7914400  102.641951  8572.16498
#> 3205 -1869.8434010  8345.2083383  90   7  1.7912177  102.629215  8552.12351
#> 3206 -1864.0182606  8322.7399397  90   8  1.7911272  102.624031  8528.92515
#> 3207 -1857.7770388  8296.1107264  90   9  1.7910954  102.622208  8501.57566
#> 3208 -1848.6232467  8256.9990695  90  10  1.7910498  102.619596  8461.40896
#> 3209 -1442.1116634  8497.0780701  91   1  1.7389129   99.632371  8618.58583
#> 3210 -1440.8634190  8487.0921151  91   2  1.7389641   99.635301  8608.53181
#> 3211 -1439.6151746  8476.2739972  91   3  1.7390315   99.639167  8597.65740
#> 3212 -1438.7830117  8466.7041237  91   4  1.7391226   99.644384  8588.08333
#> 3213 -1437.5347674  8456.7181688  91   5  1.7391741   99.647339  8578.02940
#> 3214 -1435.0382786  8440.4909920  91   6  1.7392043   99.649067  8561.61334
#> 3215 -1432.9578713  8421.3512449  91   7  1.7393398   99.656828  8542.39574
#> 3216 -1430.0453011  8399.2989277  91   8  1.7394369   99.662395  8520.16737
#> 3217 -1426.3005680  8373.5018774  91   9  1.7395121   99.666700  8494.10778
#> 3218 -1421.3075905  8335.2223834  91  10  1.7396901   99.676903  8455.53354
#> 3219 -1281.0881396  8509.5605138  92   1  1.7202211   98.561410  8605.45216
#> 3220 -1280.6720581  8497.0780701  92   2  1.7203895   98.571057  8593.04699
#> 3221 -1279.8398952  8487.0921151  92   3  1.7204670   98.575499  8583.04857
#> 3222 -1279.4238138  8478.3544045  92   4  1.7205710   98.581456  8574.34655
#> 3223 -1278.1755694  8467.1202052  92   5  1.7206226   98.584413  8563.05187
#> 3224 -1277.3434065  8451.3091098  92   6  1.7208025   98.594718  8547.29383
#> 3225 -1275.6790807  8433.4176072  92   7  1.7209230   98.601625  8529.35459
#> 3226 -1274.8469177  8413.0296158  92   8  1.7211847   98.616617  8509.07175
#> 3227 -1272.3504290  8384.3199953  92   9  1.7214008   98.629001  8480.31234
#> 3228 -1266.5252886  8347.7048271  92  10  1.7213693   98.627199  8443.23766
#> 3229 -1182.8929158  8509.9765952  93   1  1.7089121   97.913449  8591.79477
#> 3230 -1181.6446714  8495.4137443  93   2  1.7090017   97.918583  8577.19877
#> 3231 -1181.2285900  8487.9242780  93   3  1.7090740   97.922726  8569.72342
#> 3232 -1180.3964270  8477.5222416  93   4  1.7091452   97.926807  8559.30599
#> 3233 -1179.5642641  8466.7041237  93   5  1.7092233   97.931282  8548.47651
#> 3234 -1178.3160198  8450.4769469  93   6  1.7093408   97.938016  8532.23237
#> 3235 -1178.7321012  8432.5854443  93   7  1.7096794   97.957416  8514.57026
#> 3236 -1176.2356125  8411.7813714  93   8  1.7097274   97.960166  8493.62090
#> 3237 -1174.5712866  8384.7360767  93   9  1.7099751   97.974357  8466.60598
#> 3238 -1170.8265535  8352.2817231  93  10  1.7100692   97.979750  8433.94598
#> 3239 -1169.5783092  8330.2294059  93  11  1.7102862   97.992182  8411.93410
#> 3240 -1169.1622277  8321.0756138  93  12  1.7103886   97.998051  8402.81142
#> 3241 -1167.0818204  8305.2645185  93  13  1.7104053   97.999006  8386.86465
#> 3242 -1166.2496575  8288.6212602  93  14  1.7105836   98.009218  8370.26766
#> 3243 -1165.4174946  8276.5548980  93  15  1.7106861   98.015094  8358.20309
#> 3244 -1165.4174946  8271.1458390  93  16  1.7107764   98.020268  8352.84691
#> 3245 -1165.0014131  8265.3206986  93  17  1.7108244   98.023018  8347.02070
#> 3246 -1164.5853317  8259.9116397  93  18  1.7108655   98.025374  8341.60652
#> 3247 -1161.6727615  8244.1005443  93  19  1.7107843   98.020717  8325.54367
#> 3248 -1160.8405986  8229.5376933  93  20  1.7109296   98.029045  8311.00725
#> 3249 -1160.0084357  8214.9748424  93  21  1.7110754   98.037402  8296.47101
#> 3250 -1158.7601913  8202.0763172  93  22  1.7111440   98.041327  8283.52468
#> 3251 -1157.5119469  8186.6813033  93  23  1.7112549   98.047686  8268.10647
#> 3252 -1083.4494476  8511.6409211  94   1  1.6974058   97.254186  8580.32015
#> 3253 -1082.2012032  8502.0710476  94   2  1.6974023   97.253987  8570.66926
#> 3254 -1081.7851218  8492.5011741  94   3  1.6974952   97.259311  8561.12348
#> 3255 -1080.9529589  8484.1795449  94   4  1.6975216   97.260826  8552.76340
#> 3256 -1080.1207959  8474.6096714  94   5  1.6975666   97.263401  8543.16511
#> 3257 -1079.2886330  8457.5503317  94   6  1.6977227   97.272348  8526.13755
#> 3258 -1077.6243072  8441.7392363  94   7  1.6977639   97.274708  8510.24297
#> 3259 -1076.7921443  8422.5994893  94   8  1.6979521   97.285491  8491.15207
#> 3260 -1075.5438999  8394.7220317  94   9  1.6982236   97.301042  8463.34170
#> 3261 -1071.7991668  8362.2676781  94  10  1.6982722   97.303829  8430.67460
#> 3262  -964.8662324  8521.2107946  95   1  1.6835472   96.460150  8575.66325
#> 3263  -964.4501509  8508.7283509  95   2  1.6836629   96.466780  8563.21331
#> 3264  -964.0340695  8499.5745588  95   3  1.6837351   96.470917  8554.07092
#> 3265  -963.2019066  8489.5886039  95   4  1.6837701   96.472919  8544.05481
#> 3266  -962.7858251  8479.6026489  95   5  1.6838535   96.477701  8534.08564
#> 3267  -961.5375808  8463.3754721  95   6  1.6839229   96.481673  8517.82125
#> 3268  -960.7054178  8447.5643767  95   7  1.6840355   96.488129  8502.01734
#> 3269  -958.6250106  8427.5924668  95   8  1.6840579   96.489410  8481.93826
#> 3270  -957.7928476  8400.9632536  95   9  1.6843161   96.504201  8455.38590
#> 3271  -953.6320331  8368.5088999  95  10  1.6842617   96.501087  8422.66913
#> 3292  -952.6491658  8350.0584090  95  11  1.6843941   96.508672  8404.22607
#> 3293  -951.8943695  8339.4912609  95  12  1.6844474   96.511729  8393.64149
#> 3294  -951.1395732  8325.5275295  95  13  1.6845469   96.517429  8379.68228
#> 3295  -950.3847770  8311.9411962  95  14  1.6846416   96.522854  8366.09812
#> 3296  -948.1203881  8300.9966499  95  15  1.6845212   96.515953  8354.96724
#> 3297  -947.7429899  8296.0904740  95  16  1.6845429   96.517200  8350.04994
#> 3298  -947.7429899  8291.1842981  95  17  1.6846097   96.521023  8345.17548
#> 3299  -947.7429899  8285.5233259  95  18  1.6846867   96.525440  8339.55116
#> 3300  -945.4786010  8271.1821963  95  19  1.6846123   96.521174  8325.04563
#> 3301  -943.2142122  8255.3314742  95  20  1.6845582   96.518074  8309.04031
#> 3302  -940.9498233  8242.4999372  95  21  1.6844626   96.512596  8296.03470
#> 3303  -939.8176288  8229.2910020  95  22  1.6845076   96.515178  8282.78260
#> 3304  -937.5532400  8211.9306873  95  23  1.6844738   96.513237  8265.27747
#> 3305  -933.7792585  8184.0032244  95  24  1.6844031   96.509191  8237.10219
#> 3306  -932.2696659  8157.5853541  95  25  1.6845852   96.519623  8210.68362
#> 3307  -930.0052770  8139.8476412  95  26  1.6845564   96.517974  8192.80352
#> 3308  -926.9860919  8115.3167617  95  27  1.6845301   96.516466  8168.08848
#> 3309  -925.0991011  8097.9564470  95  28  1.6845418   96.517136  8150.62617
#> 3310  -922.4573141  8082.1057248  95  29  1.6844403   96.511321  8134.57807
#> 3311  -919.8155271  8061.3488267  95  30  1.6844069   96.509408  8113.65550
#> 3312  -915.2867493  8034.1761602  95  31  1.6842314   96.499352  8086.14472
#> 3313  -908.8709808  8000.9651232  95  32  1.6839066   96.480743  8052.42134
#> 3314  -906.6065919  7981.7178177  95  33  1.6838970   96.480191  8033.04144
#> 3272  -831.7201662  8530.7806681  96   1  1.6679855   95.568531  8571.22962
#> 3273  -830.8880033  8518.2982244  96   2  1.6680303   95.571095  8558.72534
#> 3274  -829.6397589  8509.1444323  96   3  1.6679889   95.568725  8549.49362
#> 3275  -828.8075960  8499.9906403  96   4  1.6679959   95.569128  8540.30227
#> 3276  -827.9754331  8489.1725224  96   5  1.6680219   95.570617  8529.45446
#> 3277  -826.3111073  8472.5292641  96   6  1.6680171   95.570341  8512.72825
#> 3278  -825.0628629  8457.1342502  96   7  1.6680468   95.572041  8497.28477
#> 3279  -823.8146185  8436.7462588  96   8  1.6681338   95.577024  8476.87194
#> 3280  -821.3181298  8411.7813714  96   9  1.6681268   95.576627  8451.78261
#> 3281  -817.1573152  8378.9109363  96  10  1.6680144   95.570183  8418.66347
#> 3282  -699.4062630  8538.6862158  97   1  1.6525242   94.682660  8567.28262
#> 3283  -698.9901815  8528.7002608  97   2  1.6525710   94.685342  8557.29603
#> 3284  -697.3258557  8520.7947131  97   3  1.6524525   94.678553  8549.28102
#> 3285  -697.3258557  8511.2248396  97   4  1.6525439   94.683790  8539.74307
#> 3286  -697.3258557  8500.4067217  97   5  1.6526475   94.689724  8528.96112
#> 3287  -696.0776113  8484.5956264  97   6  1.6526532   94.690052  8513.10090
#> 3288  -695.6615298  8467.9523681  97   7  1.6527645   94.696432  8496.47940
#> 3289  -693.1650411  8447.5643767  97   8  1.6526679   94.690897  8475.95550
#> 3290  -691.5007153  8424.6798966  97   9  1.6526931   94.692339  8453.01157
#> 3291  -689.4203080  8393.4737873  97  10  1.6527500   94.695600  8421.73988
#> 3315  -617.3309124  8381.9485524  98  10  1.6443136   94.212232  8404.65103
#> 3316  -617.7083106  8363.4560432  98  11  1.6445205   94.224083  8386.23638
#> 3317  -618.0857087  8355.9080803  98  12  1.6446318   94.230459  8378.73677
#> 3318  -618.8405050  8343.8313396  98  13  1.6448282   94.241714  8366.74877
#> 3319  -618.8405050  8331.3772007  98  14  1.6449385   94.248032  8354.32880
#> 3320  -619.2179032  8320.8100526  98  15  1.6450774   94.255991  8343.81871
#> 3321  -619.2179032  8316.6586730  98  16  1.6451143   94.258108  8339.67879
#> 3322  -619.2179032  8312.8846915  98  17  1.6451479   94.260034  8335.91523
#> 3323  -618.8405050  8306.4689231  98  18  1.6451600   94.260723  8329.48915
#> 3325  -619.2179032  8290.9955990  98  19  1.6453435   94.271239  8314.08677
#> 3326  -619.9726994  8278.1640620  98  20  1.6455493   94.283030  8301.34726
#> 3327  -619.9726994  8264.9551269  98  21  1.6456683   94.289850  8288.17528
#> 3328  -620.3500976  8251.7461918  98  22  1.6458332   94.299297  8275.03169
#> 3329  -620.7274957  8234.3858770  98  23  1.6460364   94.310938  8257.74869
#> 3330  -467.8812463  8540.4557741  99   1  1.6255257   93.135764  8553.26240
#> 3331  -467.8812463  8527.2468389  99   2  1.6256103   93.140611  8540.07327
#> 3332  -467.5038481  8515.1700982  99   3  1.6256437   93.142525  8527.99400
#> 3333  -467.8812463  8504.6029501  99   4  1.6257560   93.148956  8517.46348
#> 3334  -467.1264500  8494.7905983  99   5  1.6257308   93.147511  8507.62449
#> 3335  -466.7490519  8480.0720706  99   6  1.6257815   93.150421  8492.90745
#> 3336  -466.3716537  8464.2213484  99   7  1.6258398   93.153762  8477.05996
#> 3337  -465.6168574  8446.4836355  99   8  1.6258661   93.155266  8459.30759
#> 3338  -465.2394593  8423.0849504  99   9  1.6259741   93.161454  8435.92365
#> 3339  -464.8620611  8391.7609042  99  10  1.6261348   93.170662  8404.62657
#> 3373  -463.3524685  8376.2875802  99  11  1.6260572   93.166213  8389.09346
#> 3374  -462.5976722  8367.6074228  99  12  1.6260244   93.164338  8380.38487
#> 3375  -462.5976722  8356.6628766  99  13  1.6260966   93.168474  8369.45703
#> 3376  -462.5976722  8341.5669507  99  14  1.6261965   93.174196  8354.38423
#> 3377  -462.2202741  8331.3772007  99  15  1.6262190   93.175483  8344.18921
#> 3378  -462.2202741  8327.2258211  99  16  1.6262465   93.177063  8340.04421
#> 3379  -461.4654778  8320.8100526  99  17  1.6261988   93.174326  8333.59648
#> 3380  -461.0880797  8317.0360712  99  18  1.6261786   93.173172  8329.80739
#> 3381  -460.7106815  8301.9401453  99  19  1.6262338   93.176333  8314.71374
#> 3382  -459.5784871  8287.2216176  99  20  1.6261959   93.174160  8299.95509
#> 3383  -459.2010889  8274.7674787  99  21  1.6262336   93.176322  8287.49917
#> 3384  -458.8236908  8261.5585436  99  22  1.6262765   93.178781  8274.28962
#> 3385  -458.0688945  8246.0852196  99  23  1.6262892   93.179505  8258.79825
#> 3340  -220.6854602  8541.9653666 100   1  1.5966260   91.479933  8544.81564
#> 3341  -219.9306639  8528.3790334 100   2  1.5965787   91.477222  8531.21436
#> 3342  -219.1758676  8515.1700982 100   3  1.5965301   91.474437  8517.99037
#> 3343  -219.5532657  8504.2255520 100   4  1.5966076   91.478874  8507.05918
#> 3344  -219.1758676  8495.9227927 100   5  1.5965884   91.477776  8498.74945
#> 3345  -219.1758676  8480.4494687 100   6  1.5966354   91.480471  8483.28128
#> 3346  -219.9306639  8466.1083391 100   7  1.5967683   91.488082  8468.96451
#> 3347  -220.3080620  8449.5028207 100   8  1.5968639   91.493563  8452.37443
#> 3348  -220.3080620  8427.9911263 100   9  1.5969304   91.497373  8430.87007
#> 3349  -219.9306639  8397.7992746 100  10  1.5969794   91.500181  8400.67867
#> 3350  -219.5532657  8382.7033487 100  11  1.5969816   91.500304  8385.57804
#> 3351  -219.5532657  8376.6649784 100  12  1.5970004   91.501385  8379.54174
#> 3352  -219.1758676  8365.3430340 100  13  1.5969908   91.500833  8368.21380
#> 3353  -219.1758676  8351.3793025 100  14  1.5970346   91.503341  8354.25486
#> 3354  -218.7984694  8341.1895526 100  15  1.5970214   91.502586  8344.05872
#> 3355  -218.7984694  8337.0381729 100  16  1.5970345   91.503334  8339.90877
#> 3356  -219.1758676  8331.3772007 100  17  1.5970975   91.506949  8334.25966
#> 3357  -218.7984694  8327.2258211 100  18  1.5970654   91.505105  8330.09980
#> 3358  -218.7984694  8314.3942841 100  19  1.5971059   91.507426  8317.27269
#> 3359  -218.7984694  8299.6757564 100  20  1.5971525   91.510098  8302.55927
#> 3360  -218.4210713  8286.0894231 100  21  1.5971502   91.509965  8288.96771
#> 3361  -219.1758676  8273.6352843 100  22  1.5972810   91.517461  8276.53786
#> 3362  -218.7984694  8253.6331825 100  23  1.5972995   91.518518  8256.53278
#> 3363     3.1116409  8531.0208204 101   1  1.5704316   89.979102  8531.02139
#> 3364     1.9794464  8517.4344871 101   2  1.5705639   89.986684  8517.43472
#> 3365     1.6020483  8502.3385612 101   3  1.5706079   89.989204  8502.33871
#> 3366     0.4698539  8491.0166168 101   4  1.5707410   89.996830  8491.01663
#> 3367    -0.2849424  8480.4494687 101   5  1.5708299   90.001925  8480.44947
#> 3368    -1.0397387  8466.8631354 101   6  1.5709191   90.007036  8466.86320
#> 3369    -1.7945350  8452.5220059 101   7  1.5710086   90.012164  8452.52220
#> 3370    -3.3041276  8434.7842930 101   8  1.5711881   90.022444  8434.78494
#> 3371    -4.0589239  8414.7821912 101   9  1.5712787   90.027637  8414.78317
#> 3372    -5.5685165  8390.6287098 101  10  1.5714600   90.038025  8390.63056
#> 3386   507.6929631  8484.6008483 102   1  1.5110306   86.575676  8499.77669
#> 3387   505.4285743  8469.5049225 102   2  1.5111907   86.584851  8484.57257
#> 3388   504.6737780  8454.0315984 102   3  1.5111709   86.583713  8469.08176
#> 3389   502.7867872  8441.2000615 102   4  1.5113032   86.591294  8456.16066
#> 3390   502.0319909  8429.8781171 102   5  1.5113127   86.591839  8444.81386
#> 3391   500.1450002  8413.2725986 102   6  1.5114191   86.597934  8428.12558
#> 3392   499.0128058  8399.6862653 102   7  1.5114576   86.600139  8414.49601
#> 3393   497.1258150  8384.2129413 102   8  1.5115726   86.606730  8398.93807
#> 3394   495.2388243  8364.9656358 102   9  1.5116614   86.611820  8379.61285
#> 3395   491.4648428  8339.6799600 102  10  1.5119335   86.627409  8354.14864
#> 3396  1872.3646619  8278.5414602 103   1  1.3483677   77.255781  8487.63796
#> 3397  1865.5714952  8256.6523677 103   2  1.3485800   77.267945  8464.78974
#> 3398  1861.7975138  8237.0276640 103   3  1.3485038   77.263576  8444.81585
#> 3399  1858.7783286  8218.9125530 103   4  1.3483793   77.256444  8426.48090
#> 3400  1856.5139397  8205.3262197 103   5  1.3482856   77.251075  8412.72978
#> 3401  1852.7399583  8185.7015161 103   6  1.3482082   77.246639  8392.75608
#> 3402  1848.2111805  8172.1151828 103   7  1.3483774   77.256334  8378.50530
#> 3403  1845.1919953  8154.7548680 103   8  1.3482716   77.250272  8360.90668
#> 3404  1842.1728101  8135.1301644 103   9  1.3481054   77.240749  8341.09965
#> 3405  1836.8892361  8112.4862756 103  10  1.3481237   77.241797  8317.84802
#> 3406  1834.2474491  8100.4095349 103  11  1.3481128   77.241173  8305.48604
#> 3407  1832.7378565  8094.3711646 103  12  1.3481295   77.242131  8299.26338
#> 3408  1830.4734676  8084.5588127 103  13  1.3481345   77.242418  8289.19322
#> 3409  1827.4542824  8072.1046739 103  14  1.3481580   77.243765  8276.37983
#> 3410  1825.1898935  8062.2923221 103  15  1.3481631   77.244055  8266.30967
#> 3411  1823.6803010  8056.6313499 103  16  1.3481900   77.245598  8260.45511
#> 3412  1822.1707084  8050.9703777 103  17  1.3482170   77.247142  8254.60054
#> 3413  1820.2837176  8043.0450166 103  18  1.3482280   77.247774  8246.45414
#> 3414  1816.8871343  8024.9299056 103  19  1.3481446   77.242998  8228.03615
#> 3415  1813.1131528  8010.5887760 103  20  1.3482072   77.246585  8213.21568
#> 3416  1810.0939677  8000.7764242 103  21  1.3483021   77.252023  8202.97894
#> 3417  1807.0747825  7987.5674890 103  22  1.3483058   77.252233  8189.42939
#> 3418  1804.8103936  7976.2455446 103  23  1.3482704   77.250203  8177.88686
#> 3419  2384.8713452  8150.9808866 104   1  1.2861542   73.691208  8492.70868
#> 3420  2379.2103730  8132.4883774 104   2  1.2861826   73.692833  8473.37059
#> 3421  2375.0589934  8114.7506645 104   3  1.2860648   73.686082  8455.18087
#> 3422  2370.1528175  8096.6355534 104   4  1.2860197   73.683502  8436.41699
#> 3423  2366.7562342  8081.5396276 104   5  1.2859032   73.676826  8420.97487
#> 3424  2361.4726601  8060.0279332 104   6  1.2857871   73.670172  8398.84536
#> 3425  2357.3212805  8043.0450166 104   7  1.2856927   73.664764  8381.38036
#> 3426  2353.5472990  8024.1751093 104   8  1.2854911   73.653214  8362.21090
#> 3427  2348.2637250  8001.5312205 104   9  1.2853348   73.644260  8338.99541
#> 3428  2341.4705583  7976.2455446 104  10  1.2852624   73.640110  8312.82006
#> 3429  2338.0739750  7962.2818132 104  11  1.2851811   73.635455  8298.46501
#> 3430  2336.5643824  7956.2434428 104  12  1.2851507   73.633708  8292.24595
#> 3431  2334.6773917  7945.2988966 104  13  1.2849969   73.624898  8281.21326
#> 3432  2330.5260121  7931.3351652 104  14  1.2850025   73.625219  8266.64557
#> 3433  2327.1294288  7921.1454152 104  15  1.2850492   73.627898  8255.91158
#> 3434  2325.2424380  7914.7296467 104  16  1.2850495   73.627913  8249.22407
#> 3435  2323.3554473  7907.5590819 104  17  1.2850239   73.626448  8241.81237
#> 3436  2321.4684566  7899.2563227 104  18  1.2849595   73.622759  8233.31441
#> 3437  2316.9396788  7883.7829987 104  19  1.2849574   73.622634  8217.19197
#> 3438  2313.1656973  7871.3288598 104  20  1.2849707   73.623397  8204.17903
#> 3439  2309.3917159  7858.8747210 104  21  1.2849841   73.624163  8191.16609
#> 3440  2307.1273270  7848.3075729 104  22  1.2848854   73.618512  8180.38925
#> 3441  2302.9759474  7835.8534340 104  23  1.2849430   73.621812  8167.26988
#> 3442  2180.3215497  7867.5548783 105  23  1.3004526   74.510445  8164.08120
#> 3443  2175.0379756  7848.6849710 105  24  1.3004590   74.510813  8144.48562
#> 3444  2169.7544016  7829.0602674 105  25  1.3004406   74.509760  8124.16265
#> 3445  2165.2256238  7812.4547489 105  26  1.3004319   74.509261  8106.95080
#> 3446  2158.4324571  7792.8300453 105  27  1.3005933   74.518508  8086.22475
#> 3447  2154.6584757  7777.7341194 105  28  1.3005447   74.515721  8070.66919
#> 3448  2758.4955105  8030.5908778 106   1  1.2399252   71.042483  8491.15347
#> 3449  2748.6831587  8007.9469889 106   2  1.2401525   71.055502  8466.55031
#> 3450  2742.6447884  7992.0962668 106   3  1.2402194   71.059336  8449.59781
#> 3451  2736.6064180  7975.4907483 106   4  1.2402575   71.061520  8431.93141
#> 3452  2731.7002421  7961.1496187 106   5  1.2402559   71.061426  8416.77429
#> 3453  2726.0392699  7941.5249151 106   6  1.2401350   71.054501  8396.37470
#> 3454  2721.1330940  7924.1646004 106   7  1.2400161   71.047690  8378.36201
#> 3455  2715.4721218  7906.8042856 106   8  1.2399821   71.045742  8360.10424
#> 3456  2708.3015570  7882.6508042 106   9  1.2398545   71.038431  8334.93137
#> 3457  2699.9987978  7859.6295173 106  10  1.2398993   71.040995  8310.46146
#> 3458  2693.2056311  7842.2692025 106  11  1.2399939   71.046415  8291.83591
#> 3459  2690.9412423  7834.7212396 106  12  1.2399564   71.044271  8283.96171
#> 3460  2687.1672608  7821.8897026 106  13  1.2398840   71.040122  8270.60012
#> 3461  2682.2610849  7810.1903600 106  14  1.2399856   71.045942  8257.94151
#> 3462  2677.7323071  7798.8684156 106  15  1.2400591   71.050151  8245.76248
#> 3463  2674.7131219  7789.4334620 106  16  1.2400338   71.048702  8235.85842
#> 3464  2672.4487331  7781.1307027 106  17  1.2399663   71.044838  8227.27034
#> 3465  2669.4295479  7773.5827398 106  18  1.2400155   71.047652  8219.15097
#> 3466  2664.9007701  7760.3738047 106  19  1.2400146   71.047605  8205.18724
#> 3467  2661.1267887  7749.0518603 106  20  1.2400015   71.046851  8193.25335
#> 3468  2657.7302053  7739.2395084 106  21  1.2400046   71.047029  8182.86979
#> 3469  2654.3336220  7729.0497585 106  22  1.2399927   71.046349  8172.12929
#> 3470  2650.5596406  7716.9730178 106  23  1.2399494   71.043868  8159.48154
#> 3471  2643.0116776  7693.9517308 106  24  1.2399077   71.041476  8135.25685
#> 3472  2636.2185110  7673.9496290 106  25  1.2398986   71.040955  8114.13279
#> 3473  2630.5575388  7655.8345180 106  26  1.2398329   71.037193  8095.16122
#> 3474  2624.1417703  7635.0776199 106  27  1.2397490   71.032385  8073.44600
#> 3475  2619.9903907  7620.7364904 106  28  1.2396577   71.027157  8058.53425
#> 3476  3005.3138985  7920.3906189 107   1  1.2081386   69.221246  8471.39299
#> 3477  2997.3885374  7898.8789245 107   2  1.2081124   69.219743  8448.46887
#> 3478  2990.9727689  7880.3864153 107   3  1.2080457   69.215919  8428.90314
#> 3479  2984.9343986  7864.5356932 107   4  1.2080482   69.216061  8411.94122
#> 3480  2980.0282227  7847.9301747 107   5  1.2078927   69.207151  8394.67547
#> 3481  2973.2350560  7830.9472581 107   6  1.2079311   69.209353  8376.38715
#> 3482  2967.9514820  7815.0965359 107   7  1.2078489   69.204646  8359.69317
#> 3483  2961.1583154  7796.9814249 107   8  1.2078393   69.204091  8340.34639
#> 3484  2953.2329543  7773.9601379 107   9  1.2077473   69.198824  8316.01113
#> 3485  2945.3075932  7750.5614528 107  10  1.2076387   69.192600  8291.32315
#> 3486  2941.1562136  7735.8429251 107  11  1.2074758   69.183269  8276.09000
#> 3487  2938.8918247  7729.0497585 107  12  1.2074398   69.181207  8268.93556
#> 3488  2934.7404451  7718.1052122 107  13  1.2074387   69.181141  8257.23014
#> 3489  2929.8342692  7705.2736752 107  14  1.2074418   69.181317  8243.49266
#> 3490  2925.6828896  7693.1969345 107  15  1.2073917   69.178450  8230.72897
#> 3491  2920.7767136  7684.1393790 107  16  1.2075579   69.187972  8220.51912
#> 3492  2918.1349266  7675.8366198 107  17  1.2074994   69.184619  8211.81949
#> 3493  2915.1157414  7667.5338606 107  18  1.2074838   69.183723  8202.98575
#> 3494  2910.2095655  7654.7023236 107  19  1.2074869   69.183904  8189.24828
#> 3495  2906.0581859  7643.7577773 107  20  1.2074858   69.183842  8177.54285
#> 3496  2902.2842045  7633.9454255 107  21  1.2074908   69.184127  8167.02984
#> 3497  2897.7554267  7623.0008792 107  22  1.2075330   69.186542  8155.19031
#> 3498  2892.4718526  7611.3015367 107  23  1.2076290   69.192043  8142.37708
#> 3505  2588.2889463  8087.2005998 108   1  1.2610502   72.252856  8491.29279
#> 3506  2581.1183815  8065.6889054 108   2  1.2610824   72.254697  8468.61911
#> 3507  2576.2122056  8047.1963962 108   3  1.2609683   72.248164  8449.51118
#> 3508  2572.0608260  8032.1004703 108   4  1.2608914   72.243755  8433.86832
#> 3509  2568.2868446  8016.6271463 108   5  1.2607578   72.236100  8417.98124
#> 3510  2562.6258724  7997.7572390 108   6  1.2607142   72.233603  8398.28389
#> 3511  2558.0970946  7982.2839150 108   7  1.2606654   72.230809  8382.16662
#> 3512  2552.8135205  7963.4140076 108   8  1.2605785   72.225826  8362.58450
#> 3513  2544.5107613  7940.7701188 108   9  1.2606977   72.232657  8338.48698
#> 3514  2538.0949928  7915.1070448 108  10  1.2604906   72.220791  8312.09033
#> 3499  2781.5167975  7553.5596202 108  28  1.2179661   69.784315  8049.41604
#> 3500  2775.1010290  7537.7088981 108  29  1.2180337   69.788190  8032.32477
#> 3501  2769.0626586  7523.3677685 108  30  1.2181225   69.793277  8016.78056
#> 3502  2762.2694920  7502.9882686 108  31  1.2180394   69.788518  7995.30898
#> 3503  2753.9667328  7478.8347872 108  32  1.2179700   69.784541  7969.77431
#> 3504  2746.4187698  7461.4744724 108  33  1.2181064   69.792353  7950.87526
#> 3515  2899.6424174  7972.4715632 109   1  1.2219631   70.013327  8483.40904
#> 3516  2890.5848619  7949.4502762 109   2  1.2220391   70.017685  8458.67842
#> 3517  2884.5464916  7932.8447577 109   3  1.2220392   70.017687  8441.00909
#> 3518  2879.2629175  7915.4844430 109   4  1.2219244   70.011108  8422.88840
#> 3519  2875.4889360  7901.8981097 109   5  1.2217938   70.003629  8408.83050
#> 3520  2868.6957694  7884.1603968 109   6  1.2218317   70.005801  8389.83913
#> 3521  2862.6573990  7868.6870728 109   7  1.2218775   70.008426  8373.23376
#> 3522  2856.2416305  7848.3075729 109   8  1.2217652   70.001990  8351.88889
#> 3523  2847.9388713  7826.4184803 109   9  1.2218032   70.004166  8328.48018
#> 3524  2839.6361121  7799.6232119 109  10  1.2216393   69.994776  8300.46116
#> 3525  3106.8340000  7874.3480450 110   1  1.1949959   68.468224  8465.09153
#> 3526  3099.2860371  7855.4781377 110   2  1.1950073   68.468873  8444.76824
#> 3527  3092.4928704  7836.9856285 110   3  1.1949517   68.465692  8425.07305
#> 3528  3086.8318982  7820.0027119 110   4  1.1948366   68.459096  8407.19772
#> 3529  3081.5483242  7806.7937767 110   5  1.1948443   68.459537  8392.97141
#> 3530  3075.1325557  7788.3012675 110   6  1.1947462   68.453913  8373.41489
#> 3531  3070.2263798  7772.8279435 110   7  1.1946122   68.446239  8357.22108
#> 3532  3061.9236205  7754.3354343 110   8  1.1947236   68.452620  8336.97153
#> 3533  3053.2434632  7732.8237399 110   9  1.1947444   68.453812  8313.77523
#> 3534  3044.5633058  7710.5572493 110  10  1.1947319   68.453095  8289.87689
#> 3535  3167.2177035  7839.6274155 111   1  1.1868455   68.001240  8455.23660
#> 3536  3158.9149443  7819.2479156 111   2  1.1868532   68.001677  8433.23079
#> 3537  3152.1217776  7801.5102027 111   3  1.1868121   67.999324  8414.23990
#> 3538  3146.0834073  7783.7724898 111   4  1.1866875   67.992184  8395.53185
#> 3539  3140.7998332  7771.3183509 111   5  1.1867151   67.993767  8382.00528
#> 3540  3133.2518703  7752.8258417 111   6  1.1867233   67.994238  8362.03180
#> 3541  3126.8361018  7737.7299159 111   7  1.1867583   67.996243  8345.63169
#> 3542  3121.1751296  7719.2374067 111   8  1.1865566   67.984683  8326.36537
#> 3543  3113.6271667  7696.5935179 111   9  1.1863770   67.974396  8302.54334
#> 3544  3106.8340000  7673.9496290 111  10  1.1861119   67.959209  8279.00480
#> 3545  3207.9767033  7827.5506748 112   1  1.1818434   67.714637  8459.41275
#> 3546  3201.5609349  7806.0389804 112   2  1.1815801   67.699554  8437.07514
#> 3547  3195.8999626  7788.6786657 112   3  1.1814198   67.690366  8418.86524
#> 3548  3189.4841942  7769.8087583 112   4  1.1812736   67.681991  8398.97241
#> 3549  3185.3328145  7754.3354343 112   5  1.1810308   67.668078  8383.08196
#> 3550  3180.4266386  7736.5977214 112   6  1.1807676   67.652998  8364.81069
#> 3551  3174.7656664  7719.2374067 112   7  1.1806040   67.643629  8346.60189
#> 3552  3167.9724998  7699.2353049 112   8  1.1804448   67.634507  8325.51945
#> 3553  3161.9341294  7674.3270272 112   9  1.1799757   67.607628  8300.18812
#> 3554  3151.3669813  7650.1735458 112  10  1.1800445   67.611569  8273.83038
#> 3555  3131.3648795  7667.5338606 113  10  1.1830759   67.785254  8282.30170
#> 3556  3123.8169166  7651.6831384 113  11  1.1831962   67.792151  8264.77386
#> 3557  3120.4203333  7644.8899717 113  12  1.1832661   67.796155  8257.20084
#> 3558  3115.8915555  7633.5680273 113  13  1.1832557   67.795560  8245.00704
#> 3559  3110.9853796  7622.2460829 113  14  1.1832878   67.797394  8232.67061
#> 3560  3106.4566019  7610.9241385 113  15  1.1832774   67.796799  8220.47680
#> 3561  3102.3052222  7601.1117867 113  16  1.1832939   67.797745  8209.82327
#> 3562  3099.6634352  7592.8090275 113  17  1.1832096   67.792914  8201.13787
#> 3563  3096.2668519  7584.8836664 113  18  1.1832278   67.793958  8192.51663
#> 3564  3091.3606760  7570.1651387 113  19  1.1831030   67.786808  8177.03559
#> 3565  3087.9640927  7559.5979906 113  20  1.1829988   67.780841  8165.96865
#> 3566  3084.9449075  7551.2952313 113  21  1.1829566   67.778419  8157.14072
#> 3567  3080.7935279  7541.1054814 113  22  1.1829553   67.778345  8146.13777
#> 3568  3077.7743427  7531.6705277 113  23  1.1828602   67.772899  8136.26179
#> 3569  3033.6187595  7547.8986480 114  23  1.1886396   68.104032  8134.71676
#> 3570  3025.6933985  7524.1225648 114  24  1.1884530   68.093343  8109.70042
#> 3571  3017.0132411  7505.6300556 114  25  1.1885957   68.101516  8089.30476
#> 3572  3009.8426763  7488.2697408 114  26  1.1886178   68.102783  8070.52270
#> 3573  3003.8043059  7468.6450372 114  27  1.1884046   68.090568  8050.06205
#> 3574  2997.0111393  7452.0395187 114  28  1.1884178   68.091327  8032.12106
#> 3575  2990.2179727  7436.1887966 114  29  1.1884663   68.094102  8014.88037
#> 3576  2984.1796023  7422.6024633 114  30  1.1885330   68.097923  8000.02220
#> 3577  2978.1412320  7402.9777597 114  31  1.1883177   68.085588  7979.56170
#> 3578  2967.5740838  7379.5790746 114  32  1.1884523   68.093301  7953.90994
#> 3579  2958.5165283  7357.6899820 114  33  1.1884822   68.095012  7930.22206
#> 3580  3529.8973226  7499.5916852 115  10  1.1308798   64.794638  8288.79066
#> 3581  3523.8589522  7482.2313705 115  11  1.1306464   64.781269  8270.51197
#> 3582  3520.8397670  7474.6834075 115  12  1.1305878   64.777909  8262.39703
#> 3583  3517.0657856  7462.2292687 115  13  1.1303583   64.764762  8249.52225
#> 3584  3511.4048134  7449.0203336 115  14  1.1302963   64.761209  8235.16045
#> 3585  3506.8760356  7436.5661947 115  15  1.1301487   64.752750  8221.96426
#> 3586  3502.3472578  7426.7538429 115  16  1.1301378   64.752128  8211.15759
#> 3587  3498.9506745  7417.6962874 115  17  1.1300414   64.746601  8201.51657
#> 3588  3495.5540912  7409.3935282 115  18  1.1299840   64.743313  8192.55826
#> 3589  3489.8931190  7394.2976023 115  19  1.1298224   64.734054  8176.49014
#> 3590  3485.7417394  7385.2400468 115  20  1.1298087   64.733270  8166.52717
#> 3591  3481.5903598  7375.4276949 115  21  1.1297555   64.730221  8155.88163
#> 3592  3477.8163783  7367.8797320 115  22  1.1297789   64.731563  8147.44491
#> 3593  3474.4197950  7357.6899820 115  23  1.1296218   64.722564  8136.78037
#> 3594  3591.7906186  7468.2676391 116  10  1.1225124   64.315225  8287.09728
#> 3595  3586.1296464  7451.2847224 116  11  1.1222392   64.299572  8269.33914
#> 3596  3583.1104612  7444.1141577 116  12  1.1221921   64.296874  8261.56863
#> 3597  3577.4494890  7431.2826207 116  13  1.1221359   64.293648  8247.55153
#> 3598  3571.7885168  7419.2058800 116  14  1.1221191   64.292690  8234.21454
#> 3599  3567.2597391  7407.5065374 116  15  1.1219982   64.285761  8221.70877
#> 3600  3562.7309613  7396.9393893 116  16  1.1219367   64.282239  8210.22315
#> 3601  3558.5795817  7388.6366301 116  17  1.1219535   64.283198  8200.94140
#> 3602  3554.4282021  7380.3338709 116  18  1.1219702   64.284159  8191.65965
#> 3603  3549.1446280  7366.3701394 116  19  1.1218114   64.275059  8176.78645
#> 3604  3543.8610540  7355.4255932 116  20  1.1218126   64.275125  8164.63329
#> 3605  3540.8418688  7347.8776302 116  21  1.1217444   64.271218  8156.52296
#> 3606  3537.8226836  7340.7070654 116  22  1.1216961   64.268455  8148.75264
#> 3607  3532.5391096  7329.7625192 116  23  1.1216971   64.268511  8136.59948
#> 3608  3698.5942942  7416.1866948 117  10  1.1081739   63.493689  8287.30504
#> 3609  3691.4237294  7401.8455652 117  11  1.1081759   63.493803  8271.27118
#> 3610  3688.4045442  7395.4297967 117  12  1.1081564   63.492683  8264.18235
#> 3611  3682.7435720  7381.8434634 117  13  1.1080354   63.485753  8249.49775
#> 3612  3677.4599979  7371.2763153 117  14  1.1080367   63.485825  8237.68332
#> 3613  3672.1764239  7358.8221765 117  15  1.1079355   63.480030  8224.18042
#> 3614  3667.6476461  7349.3872228 117  16  1.1079160   63.478910  8213.71608
#> 3615  3663.8736647  7340.7070654 117  17  1.1078552   63.475425  8204.26416
#> 3616  3658.9674887  7331.2721118 117  18  1.1078767   63.476657  8193.63130
#> 3617  3653.6839147  7318.0631766 117  19  1.1077335   63.468454  8179.45321
#> 3618  3648.4003406  7308.2508248 117  20  1.1077756   63.470867  8168.31410
#> 3619  3644.6263592  7299.5706674 117  21  1.1077143   63.467353  8158.86225
#> 3620  3641.9845721  7290.5131119 117  22  1.1075078   63.455524  8149.57870
#> 3621  3636.3235999  7276.5493805 117  23  1.1073632   63.447240  8134.55716
#> 3622  3627.2660444  7258.4342694 117  24  1.1073638   63.447271  8114.30385
#> 3623  3620.0954796  7241.0739547 117  25  1.1071975   63.437744  8095.56936
#> 3624  3613.6797111  7224.4684362 117  26  1.1069887   63.425778  8077.84781
#> 3625  3605.3769519  7206.3533252 117  27  1.1069045   63.420955  8057.93219
#> 3626  3599.3385816  7192.3895938 117  28  1.1067991   63.414917  8042.74246
#> 3627  3593.3002112  7176.9162697 117  29  1.1066091   63.404032  8026.20293
#> 3628  3586.8844427  7160.6881494 117  30  1.1064183   63.393098  8008.81981
#> 3629  3579.3364798  7143.3278347 117  31  1.1062898   63.385737  7989.91753
#> 3630  3571.4111187  7120.3065477 117  32  1.1058846   63.362523  7965.78576
#> 3631  3564.6179521  7100.6818441 117  33  1.1055415   63.342861  7945.19879
#> 3632  3997.4936264  7485.2505557 118   1  1.0802817   61.895580  8485.80763
#> 3633  3986.1716820  7463.7388613 118   2  1.0802643   61.894587  8461.49883
#> 3634  3975.2271358  7443.7367595 118   3  1.0802917   61.896156  8438.69941
#> 3635  3968.0565710  7427.8860373 118   4  1.0801561   61.888388  8421.33979
#> 3636  3962.0182006  7414.2997041 118   5  1.0800282   61.881056  8406.51107
#> 3637  3953.3380432  7395.8071949 118   6  1.0799018   61.873815  8386.11029
#> 3638  3946.9222747  7381.0886671 118   7  1.0797488   61.865050  8370.10546
#> 3639  3938.6195155  7361.8413617 118   8  1.0795387   61.853011  8349.21744
#> 3640  3930.3167563  7336.9330840 118   9  1.0790065   61.822521  8323.33929
#> 3641  3920.1270063  7313.1570007 118  10  1.0787360   61.807019  8297.56959
#> 3642  3913.3338397  7297.3062786 118  11  1.0785547   61.796631  8280.39013
#> 3643  3909.9372564  7289.3809175 118  12  1.0784637   61.791420  8271.80050
#> 3644  3903.8988860  7276.5493805 118  13  1.0783736   61.786258  8257.63873
#> 3645  3898.2379138  7262.5856491 118  14  1.0781779   61.775045  8242.65789
#> 3646  3891.8221453  7249.3767139 118  15  1.0781057   61.770908  8227.98532
#> 3647  3886.9159694  7238.0547695 118  16  1.0779800   61.763707  8215.68942
#> 3648  3883.1419879  7230.1294084 118  17  1.0779283   61.760742  8206.92165
#> 3649  3877.8584139  7219.5622603 118  18  1.0778862   61.758329  8195.11227
#> 3650  3872.5748398  7205.2211307 118  19  1.0776256   61.743399  8179.97845
#> 3651  3867.6686639  7194.2765845 118  20  1.0775203   61.737367  8168.01545
#> 3652  3863.5172843  7184.8416308 118  21  1.0774209   61.731671  8157.73958
#> 3653  3859.7433028  7177.2936679 118  22  1.0773901   61.729907  8149.30443
#> 3654  3854.8371269  7168.2361124 118  23  1.0773939   61.730126  8139.00352
#> 3655  3844.2699788  7145.5922236 118  24  1.0772192   61.720113  8114.05570
#> 3656  3835.9672196  7127.0997144 118  25  1.0770401   61.709852  8093.83684
#> 3657  3829.9288492  7110.4941959 118  26  1.0767240   61.691741  8076.35330
#> 3658  3822.3808863  7092.7564830 118  27  1.0765048   61.679181  8057.15770
#> 3659  3817.0973123  7080.3023442 118  28  1.0763485   61.670226  8043.68778
#> 3660  4172.9837647  7403.7325560 119   1  1.0575470   60.592982  8498.76751
#> 3661  4160.1522277  7378.0694820 119   2  1.0573791   60.583359  8470.11073
#> 3662  4149.5850796  7354.6707969 119   3  1.0571082   60.567837  8444.53900
#> 3663  4140.5275240  7334.2912969 119   4  1.0568558   60.553376  8422.33916
#> 3664  4133.7343574  7319.1953711 119   5  1.0566766   60.543112  8405.85395
#> 3665  4125.4315982  7298.8158711 119   6  1.0563436   60.524028  8384.02642
#> 3666  4117.8836352  7281.4555564 119   7  1.0561079   60.510526  8365.19938
#> 3667  4108.0712834  7259.5664639 119   8  1.0558401   60.495180  8341.31614
#> 3668  4098.2589316  7235.4129825 119   9  1.0554365   60.472059  8315.46314
#> 3669  4088.4465798  7208.9951122 119  10  1.0548957   60.441072  8287.64176
#> 3670  4079.7544767  7193.0666977 119  11  1.0548598   60.439014  8269.49848
#> 3671  4076.2060608  7184.7870606 119  12  1.0547390   60.432091  8260.54604
#> 3672  4068.5178264  7169.4105918 119  13  1.0546297   60.425831  8243.37828
#> 3673  4062.0123973  7158.1739415 119  14  1.0546433   60.426611  8230.39482
#> 3674  4056.0983709  7144.5716807 119  15  1.0544523   60.415664  8215.64596
#> 3675  4050.1843444  7134.5178357 119  16  1.0544741   60.416917  8203.98306
#> 3676  4044.2703179  7124.4639907 119  17  1.0544961   60.418174  8192.32016
#> 3677  4039.5390968  7115.5929510 119  18  1.0544637   60.416319  8182.26980
#> 3678  4031.2594597  7104.3563007 119  19  1.0546660   60.427912  8168.41057
#> 3679  4025.9368359  7093.7110531 119  20  1.0545895   60.423527  8156.52524
#> 3680  4021.7970174  7084.8400134 119  21  1.0544940   60.418053  8146.76680
#> 3681  4018.2486015  7078.9259869 119  22  1.0545144   60.419224  8139.87192
#> 3682  4012.9259777  7069.4635446 119  23  1.0545092   60.418926  8129.01530
#> 3683  3999.9151195  7048.1730493 119  24  1.0546085   60.424617  8104.07702
#> 3684  3991.6354824  7029.8395673 119  25  1.0543799   60.411519  8084.04590
#> 3685  3983.9472480  7014.4630985 119  26  1.0542675   60.405079  8066.87847
#> 3686  3975.0762083  6997.9038244 119  27  1.0542098   60.401773  8048.09846
#> 3687  3967.9793766  6986.6671741 119  28  1.0542871   60.406200  8034.82287
#> 3688  4414.4883746  7291.2395370 120   1  1.0263784   58.807148  8523.48999
#> 3689  4403.2517243  7262.2608073 120   2  1.0257429   58.770742  8492.88277
#> 3690  4394.3806846  7238.6047014 120   3  1.0251904   58.739082  8468.05643
#> 3691  4385.5096449  7214.3571929 120   4  1.0245982   58.705151  8442.72732
#> 3692  4379.5956184  7198.9807241 120   5  1.0242500   58.685204  8426.51655
#> 3693  4370.1331761  7171.7762024 120   6  1.0235290   58.643893  8398.35924
#> 3694  4358.8965258  7148.1200965 120   7  1.0232049   58.625320  8372.31150
#> 3695  4350.0254861  7123.2811854 120   8  1.0225629   58.588539  8346.48768
#> 3696  4338.7888358  7098.4422743 120   9  1.0221596   58.565428  8319.43335
#> 3697  4328.7349908  7067.6893366 120  10  1.0212594   58.513855  8287.95386
#> 3698  4323.4123670  7051.1300625 120  11  1.0207625   58.485386  8271.05372
#> 3699  4319.8639511  7042.8504255 120  12  1.0206049   58.476351  8262.14056
#> 3700  4312.7671194  7025.1083461 120  13  1.0202134   58.453922  8243.30683
#> 3701  4307.4444956  7012.0974879 120  14  1.0199374   58.438110  8229.43432
#> 3702  4302.1218718  6999.0866297 120  15  1.0196605   58.422245  8215.56244
#> 3703  4294.4336374  6986.0757714 120  16  1.0196284   58.420405  8200.45212
#> 3704  4289.7024162  6977.2047317 120  17  1.0195533   58.416103  8190.41713
#> 3705  4284.9711950  6966.5594841 120  18  1.0193644   58.405279  8178.87090
#> 3706  4278.4657659  6952.9572232 120  19  1.0191703   58.394154  8163.87674
#> 3707  4273.7345447  6942.3119756 120  20  1.0189802   58.383265  8152.33111
#> 3708  4270.1861289  6933.4409359 120  21  1.0187802   58.371804  8142.91672
#> 3709  4266.6377130  6923.9784936 120  22  1.0185415   58.358132  8132.99917
#> 3710  4261.3150892  6911.5590380 120  23  1.0182972   58.344132  8119.63390
#> 3711  4251.8526468  6892.6341533 120  24  1.0180654   58.330849  8098.55892
#> 3712  4244.1644124  6874.3006713 120  25  1.0176839   58.308992  8078.91956
#> 3713  4238.2503859  6860.6984104 120  26  1.0174218   58.293975  8064.23890
#> 3714  4231.7449568  6844.7305390 120  27  1.0170667   58.273629  8047.23565
#> 3715  4222.8739171  6826.9884596 120  28  1.0168444   58.260893  8027.48002
#> 3716  4606.3172154  7225.7845706 121   1  1.0032706   57.483168  8569.13770
#> 3717  4583.4964658  7201.0077567 121   2  1.0039646   57.522935  8535.97988
#> 3718  4572.4121017  7172.9708357 121   3  1.0032941   57.484516  8506.37779
#> 3719  4562.6317805  7145.5859362 121   4  1.0025306   57.440771  8478.03085
#> 3720  4554.8075235  7127.9813579 121   5  1.0021901   57.421266  8458.98279
#> 3721  4545.6792236  7099.2924156 121   6  1.0012701   57.368551  8429.89635
#> 3722  4535.8989023  7073.2115589 121   7  1.0005766   57.328818  8402.66033
#> 3723  4524.1625168  7046.4786807 121   8  1.0000331   57.297676  8373.82280
#> 3724  4512.4261313  7017.1377169 121   9  0.9993168   57.256634  8342.79398
#> 3725  4501.3417672  6987.7967531 121  10  0.9985292   57.211507  8312.12254
#> 3726  4492.5045924  6966.4963308 121  11  0.9980339   57.183128  8289.43114
#> 3727  4488.5619080  6956.9212403 121  12  0.9978073   57.170146  8279.24762
#> 3728  4482.9295019  6940.0240218 121  13  0.9972713   57.139439  8261.99675
#> 3729  4475.0441333  6925.3797658 121  14  0.9971110   57.130251  8245.41721
#> 3730  4469.4117271  6911.2987504 121  15  0.9967572   57.109983  8230.53410
#> 3731  4462.6528397  6896.0912538 121  16  0.9964428   57.091969  8214.09429
#> 3732  4456.4571930  6886.5161633 121  17  0.9964428   57.091965  8202.68953
#> 3733  4453.0777493  6875.2513510 121  18  0.9960420   57.069002  8191.39686
#> 3734  4444.6291400  6861.7335763 121  19  0.9960105   57.067197  8175.45814
#> 3735  4440.1232151  6850.4687640 121  20  0.9957236   57.050758  8163.55416
#> 3736  4437.3070120  6841.4569141 121  21  0.9954123   57.032923  8154.46051
#> 3737  4431.1113653  6831.3185830 121  22  0.9953731   57.030680  8142.58322
#> 3738  4426.0421997  6820.0537707 121  23  0.9951422   57.017450  8130.37410
#> 3739  4416.4671092  6798.6506273 121  24  0.9946958   56.991869  8107.20865
#> 3740  4408.0185000  6781.7534089 121  25  0.9944337   56.976852  8088.43659
#> 3741  4400.1331314  6767.1091528 121  26  0.9942640   56.967133  8071.86087
#> 3742  4391.1212815  6751.9016562 121  27  0.9941728   56.961906  8054.19903
#> 3743  4382.1094317  6736.1309190 121  28  0.9940430   56.954466  8036.06513
#> 3744  4375.3505443  6723.1763848 121  29  0.9938686   56.944476  8021.52062
#> 3745  4367.4651757  6707.9688882 121  30  0.9936580   56.932409  8004.47367
#> 3746  4358.4533258  6691.6349104 121  31  0.9934877   56.922651  7985.86834
#> 3747  4345.4987917  6664.0361202 121  32  0.9929588   56.892348  7955.67327
#> 3748  4334.7972200  6644.3226986 121  33  0.9927314   56.879322  7933.31526
#> 3749  4859.7374737  7110.1226877 122   1  0.9712332   55.647566  8612.25249
#> 3750  4843.9667365  7079.7076945 122   2  0.9707503   55.619897  8578.24427
#> 3751  4829.3224805  7052.1089043 122   3  0.9703410   55.596445  8547.19812
#> 3752  4816.9311869  7023.9468735 122   4  0.9696731   55.558179  8516.96282
#> 3753  4806.2296152  7005.9231739 122   5  0.9695121   55.548953  8496.04629
#> 3754  4793.2750811  6978.3243837 122   6  0.9689298   55.515586  8465.96109
#> 3755  4777.5043438  6946.7829092 122   7  0.9683535   55.482567  8431.03437
#> 3756  4758.9174035  6915.8046754 122   8  0.9680867   55.467284  8394.97762
#> 3757  4743.1466663  6883.1367197 122   9  0.9674256   55.429402  8359.12743
#> 3758  4727.9391697  6851.0320046 122  10  0.9667415   55.390205  8324.06441
#> 3759  4716.6743574  6829.0656206 122  11  0.9663553   55.368078  8299.58759
#> 3760  4712.7316730  6820.6170113 122  12  0.9661674   55.357316  8290.39542
#> 3761  4702.5933420  6802.5933116 122  13  0.9659371   55.344119  8269.80410
#> 3762  4694.1447327  6786.8225744 122  14  0.9656925   55.330106  8252.02735
#> 3763  4686.2593641  6773.3047996 122  15  0.9655463   55.321728  8236.42427
#> 3764  4679.5004767  6759.2237842 122  16  0.9652479   55.304630  8220.99938
#> 3765  4673.8680706  6750.2119344 122  17  0.9651871   55.301149  8210.38391
#> 3766  4669.3621456  6741.7633251 122  18  0.9650524   55.293429  8200.87285
#> 3767  4662.0400176  6728.2455504 122  19  0.9648475   55.281689  8185.59132
#> 3768  4655.8443709  6714.7277756 122  20  0.9645285   55.263413  8170.95196
#> 3769  4651.3384459  6705.7159257 122  21  0.9643530   55.253359  8160.97883
#> 3770  4646.8325210  6696.1408353 122  22  0.9641377   55.241022  8150.54321
#> 3771  4641.7633555  6685.4392636 122  23  0.9638998   55.227389  8138.86142
#> 3772  4628.8088213  6664.0361202 122  24  0.9637068   55.216334  8113.89232
#> 3773  4619.7969715  6648.2653830 122  25  0.9635098   55.205043  8095.79870
#> 3774  4612.4748435  6631.9314051 122  26  0.9631003   55.181582  8078.20762
#> 3775  4604.0262342  6615.5974273 122  27  0.9628037   55.164590  8059.97437
#> 3776  4596.7041062  6602.0796525 122  28  0.9625910   55.152399  8044.69666