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This function computes and returns the distance matrix computed by using the Cosine similarity to compute the distances between the rows of a data matrix.

Usage

dist(x, ...)

Arguments

x

object of class "Vec3", "Line", or "Plane".

...

optional parameters passed to stats:as.dist()

Value

distance matrix

Examples

set.seed(20250411)
dist(rvmf(100, mu = Line(90, 0), k = 20))
#>               1           2           3           4           5           6
#> 2     8.4989072                                                            
#> 3   163.3726337 164.7365089                                                
#> 4    27.1037252  20.5081257 182.2393505                                    
#> 5   179.8567819 181.8904910  21.7955180 200.1105572                        
#> 6   145.4473295 147.4339587  21.0874992 165.7018028  34.4565742            
#> 7   173.4558655 175.3604283  15.0835435 193.4555898   7.0372131  28.0217527
#> 8    10.8025073   9.5229971 173.2546477  17.8605469 190.0552322 155.6148799
#> 9   164.3363898 166.5639926  17.1876766 185.0258931  15.9573461  19.5542498
#> 10  161.3075956 163.2414842  11.2964075 181.4023804  18.7192371  15.8700746
#> 11  182.0344160 183.7564364  20.2554315 201.6242857   7.1320598  36.8383567
#> 12   24.0490442  22.2145948 186.7216449  15.3934200 203.5789616 169.1368177
#> 13   20.3526313  18.1665787 182.7243574  13.9369515 199.6380946 165.1913789
#> 14   40.7264588  33.7311746 191.5469318  13.6709787 210.0157095 175.7406637
#> 15  164.7394135 166.6750357  11.4272931 184.8278957  15.3092613  19.2973058
#> 16  155.5465766 157.7811546  18.3602681 176.2736843  24.5633159  11.1982524
#> 17  157.6903634 159.7030731  13.6639759 177.9592030  22.1876884  12.2700186
#> 18  179.2364594 181.4309580  23.6796569 199.8231490   3.5687438  34.1510287
#> 19  156.5924178 158.7606322  16.8187646 177.1824837  23.3673697  11.7280788
#> 20  166.5178361 168.2830636   8.6368476 186.2425852  14.6093673  21.3801124
#> 21  161.1677022 163.3205914  15.5871625 181.7138993  18.7989825  16.1119425
#> 22  161.8799722 164.0926159  16.7392271 182.5455769  18.2777908  17.0859344
#> 23   20.7429897  16.9871693 181.6992698  10.2819699 198.8741077 164.4177509
#> 24  177.1309211 179.3391028  22.4307115 197.7502612   4.6318542  32.1002452
#> 25  156.9605268 159.0877256  15.9605039 177.4661686  22.9366370  11.8743358
#> 26   17.0920372   8.6602915 165.0476160  17.2656475 182.8497911 148.4377256
#> 27  169.9803142 171.6910498   9.7094244 189.5788355  12.1538185  24.9639575
#> 28  147.3348714 149.5795766  22.7470741 168.1063972  32.6979353   5.0437596
#> 29   11.0609211  10.9604781 174.0535209  18.9162650 190.7333375 156.3042708
#> 30  183.1028999 183.7217701  24.6850095 200.1954734  30.8046283  45.6100501
#> 31  159.4642916 161.5908174  15.2924698 179.9614568  20.4423274  14.3300367
#> 32  170.3796454 171.2368046  12.1235650 188.0768006  26.6676364  32.3841494
#> 33  152.2041348 154.2975500  17.6084599 172.6550666  27.6575575   7.0833193
#> 34  171.1384836 172.4814191   7.7691088 189.9329373  17.2026451  28.1803879
#> 35  174.6147327 176.3849419  14.1138781 194.3271724   7.8111891  29.3687222
#> 36   28.6684472  22.3743059 184.4160991   2.1796218 202.2754368 167.8641062
#> 37   33.2813616  25.2648137 161.5273785  26.0463168 180.4600667 146.4074431
#> 38  176.8337611 178.5288090  15.2164336 196.3794282   7.9878369  31.7609326
#> 39   31.7695258  23.2892395 168.8723149  18.8555417 187.6218281 153.4728637
#> 40   28.0782659  22.0421307 184.6112034   2.6998304 202.3932236 167.9711683
#> 41   16.3277004  12.2507857 176.9829544  11.9531530 194.1268728 159.6707349
#> 42   13.5831039   8.7293587 173.4515179  13.6470700 190.6183699 156.1619038
#> 43  173.7573043 175.4282536  12.2369974 193.2597168   9.9936086  28.8108100
#> 44  167.0831138 169.0930203  13.4964006 187.3195627  12.7990315  21.6594408
#> 45   23.8740728  21.1512562 185.8678128  12.8416745 202.8965921 168.4442498
#> 46    4.3359128   6.9030106 167.2032636  23.1054228 183.8405120 149.4139338
#> 47  190.8581596 192.3417684  27.6693190 209.9069814  16.3339378  46.2945578
#> 48  172.4044606 173.7671080   9.0340458 191.2385054  16.2477630  29.1993255
#> 49  167.9702656 168.9456613   8.8463916 185.9483680  25.3385404  29.0743994
#> 50  158.9461830 160.8311169  10.9407740 178.9459341  21.2129496  13.5836992
#> 51   19.5674406  11.1561465 165.0695797  17.2006574 183.0506012 148.6689055
#> 52  175.3021262 176.3250787  13.6273493 193.3629006  22.1465909  34.7147616
#> 53   22.9982949  20.7963020 185.4040001  14.1270147 202.3296625 167.8826036
#> 54   33.1270976  31.3358912 195.9261582  20.1839409 212.7789619 178.3387625
#> 55   24.6237776  17.8945960 179.8527404   2.6259555 197.6568895 163.2393149
#> 56  154.2111943 155.4443488   9.5574831 172.8231370  30.6076432  15.9763734
#> 57   16.6602133  16.6860682 179.9255027  18.5744936 196.5071093 162.0909301
#> 58   47.5767816  40.2273307 194.7368729  20.7673119 213.5715993 179.4325247
#> 59  159.1173677 161.2098653  14.7177334 179.5459772  20.7516151  13.8678898
#> 60   21.1563148  20.8626828 184.4318700  18.6694650 201.0098097 166.5954583
#> 61  157.6567666 159.6750029  13.7742186 177.9370993  22.2166145  12.2436323
#> 62   16.9580421  14.4350887 179.0056347  13.8192922 195.9546282 161.5053058
#> 63  187.6620595 189.0425631  24.3071561 206.4910950  16.2994213  43.6316118
#> 64  161.6097064 163.8250041  16.7974148 182.2813960  18.5518471  16.8372138
#> 65   14.0048386  17.4867724 149.3716030  37.9398154 165.8801039 131.4616797
#> 66  175.8989165 177.6154203  14.5968467 195.4931482   7.9855106  30.7758560
#> 67  163.0926946 164.6296222   3.3936580 182.3384402  19.8880215  19.3363025
#> 68  178.8966373 180.0566127  15.9784784 197.2570130  18.9111656  36.7367626
#> 69  169.6894747 171.8907459  18.1644849 190.3121913  10.7021221  24.7038794
#> 70  172.6110533 174.3411660  11.9782468 192.2434844   9.8415533  27.4902730
#> 71  169.7280583 171.5772328  11.7570816 189.6212484  10.9489369  24.3620739
#> 72  162.4684534 163.3118898  10.1628077 180.1648406  30.3084025  26.7343991
#> 73  153.0226091 154.5375183  10.6696473 172.2560439  29.0325226  11.2409156
#> 74   24.9785473  19.5067115 183.1474840   4.5820923 200.7190850 166.2758032
#> 75   14.2058495  14.7310655 177.5093433  19.3929783 194.0600794 159.6470299
#> 76  150.5614559 152.2978342  14.4522047 170.2768537  30.0457804   6.7159580
#> 77   35.4633935  32.5974348 197.3154747  18.3972887 214.4648625 180.0094772
#> 78  174.3654144 175.5559321  11.4557558 192.8091722  18.9240782  32.3560001
#> 79    6.4139452   9.7576794 157.2622794  30.2333291 173.9317405 139.4987636
#> 80  160.3897914 162.5151182  15.1246937 180.8819320  19.5195086  15.2382585
#> 81   18.3495419  14.2376592 178.9407977  10.6392927 196.1278865 161.6713848
#> 82  162.2637788 163.4764543   3.1716575 180.7991763  24.6914823  21.7988653
#> 83   25.6100919  21.2467169 185.6508267   8.1576001 203.0212550 168.5668110
#> 84   12.7821911   9.5977101 174.1664567  15.1905119 191.1569251 156.7049604
#> 85  166.1325642 167.9080821   8.6804838 185.8802859  14.8787619  20.9687621
#> 86  179.2434937 181.1540923  19.6936785 199.2412135   2.7719380  33.8020844
#> 87   27.7059847  25.3883877 190.0730669  15.3366143 207.0405847 172.5916978
#> 88   22.9431874  17.3559652 181.0927790   5.2286854 198.6259503 164.1802061
#> 89   31.0772074  28.1360397 192.8630771  15.1472685 209.9965396 175.5413005
#> 90   16.7154207  10.1894946 173.9567407  10.4808213 191.4082871 156.9585929
#> 91  151.3648497 153.2473565  15.3196592 171.3838753  28.7370606   6.1612084
#> 92   16.5680181   9.0544774 160.6987934  21.6362810 178.4806936 144.0676364
#> 93  172.7477946 174.1403951   9.4101800 191.6469344  15.5341642  29.3065741
#> 94   18.6294869  11.7672056 174.7977553   8.7446271 192.3749757 157.9338795
#> 95   23.3339951  20.0264818 184.7578574  11.1308831 201.8909512 167.4353176
#> 96   30.3920903  24.7688305 187.6777900   5.6653738 205.4346714 171.0086008
#> 97   14.2288253  10.2725644 174.9993959  13.5761583 192.0902512 157.6349987
#> 98  150.6125578 152.0426864  12.7922043 169.6714836  31.8991290  11.0867836
#> 99   52.6752622  48.4030570 211.8232440  29.5857098 229.6193022 195.1919822
#> 100 142.7371732 144.6798397  22.9763373 162.9108660  37.2197516   2.8399837
#>               7           8           9          10          11          12
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8   183.5969766                                                            
#> 9    11.1623920 174.6100918                                                
#> 10   12.1519004 171.4579175   6.6483642                                    
#> 11    9.3535936 192.0955352  20.4378763  21.0904285                        
#> 12  197.1153683  13.5264791 188.1365627 184.9777002 205.6017510            
#> 13  193.1618870   9.6540159 184.2160773 181.0270979 201.6316776   4.0494229
#> 14  203.2606133  31.4424244 195.1924201 191.2982726 211.2029263  25.6773385
#> 15    8.7268376 174.8915659   5.8727462   3.4339500  17.7672475 188.4114464
#> 16   18.9433289 165.8203189   8.7902434   8.0844509  28.2611444 179.3467803
#> 17   15.8661411 167.8734778   7.9711026   3.8923580  24.9319285 181.3964292
#> 18    8.6019855 189.5009727  14.9040156  18.8563829  10.6871985 203.0274186
#> 19   17.5555288 166.8398538   7.8634603   6.4659587  26.8374860 180.3661132
#> 20    7.5741355 176.5944634   9.5168409   6.1254672  15.5259806 190.1040476
#> 21   13.1783440 171.4103632   3.5365432   4.3075116  22.5204209 184.9364841
#> 22   13.0467177 172.1469747   2.4827878   5.5460883  22.3956882 185.6734512
#> 23  192.3472502  10.0262974 183.5342041 180.2275486 200.7415478   6.6205918
#> 24    7.5360473 187.4003834  12.7949289  16.9385348  11.5941727 200.9268589
#> 25   16.9894641 167.1913269   7.6868169   5.6698515  26.2333364 180.7170990
#> 26  176.2011304  15.4884101 167.7604232 164.1432356 184.3897666  24.9706097
#> 27    5.3852441 180.0328824  11.8106951   9.6628873  12.0654684 193.5381764
#> 28   26.7953767 157.6097911  17.0019272  15.0114964  35.9909655 171.1362293
#> 29  184.2991454   1.7382577 175.2534649 172.1555738 192.8302691  12.9897591
#> 30   28.8055898 192.5789355  37.9703203  34.2951501  24.0083245 205.8976670
#> 31   14.5952754 169.6956243   5.3167656   4.1528811  23.8896523 183.2213944
#> 32   21.8571285 179.9911405  28.0840769  23.0244373  21.8477880 193.3677214
#> 33   21.4915617 162.4193493  12.4771979   9.5270952  30.5892624 175.9444907
#> 34   11.9401926 181.0122733  19.0452349  15.1981422  13.6957620 194.4761307
#> 35    3.0358703 184.6959996  13.7869725  13.6419780   7.4700465 198.2059614
#> 36  195.6232558  19.0348521 187.1832005 183.5681132 203.7966082  14.8806087
#> 37  173.6246066  32.1190006 165.9401640 161.7750595 181.3568560  39.0406028
#> 38    5.5168772 186.8809837  16.4806219  16.1668725   5.2481291 200.3849411
#> 39  180.8161649  28.1462568 172.9817595 168.9193828 188.6336867  32.8824928
#> 40  195.7549415  18.2451246 187.2694138 183.6903982 203.9552895  13.6811218
#> 41  187.6040334   6.0365409 178.7821576 175.4828318 196.0063321  10.3995328
#> 42  184.0897150   4.8859800 175.2851865 171.9704730 192.4843216  13.8036095
#> 43    4.9097859 183.7924066  14.6437604  13.4248387   8.3768902 197.2942525
#> 44    6.6875089 177.2679708   5.1398194   6.0103701  16.0137590 190.7908731
#> 45  196.3993311  13.1115872 187.5061779 184.2702264 204.8372825   2.5519828
#> 46  177.4113484   6.4817779 168.3564100 165.2668539 185.9517456  19.8578111
#> 47   19.5213693 200.8076883  30.6477808  30.8449470  10.2175818 214.2896723
#> 48   11.3663772 182.2886505  19.2049872  15.7735995  12.4423126 195.7552414
#> 49   19.9249403 177.6474466  25.2286433  19.9115942  21.2717996 191.0488341
#> 50   14.5293540 169.0742384   8.7537297   2.5695950  23.2567303 182.5915222
#> 51  176.3705753  17.7007192 168.0364461 164.3360757 184.4958620  26.3731164
#> 52   18.4941738 185.0077296  26.7237993  22.8348004  16.5398502 198.4179038
#> 53  195.8522081  12.3376041 186.9085427 183.7177757 204.3192963   1.6059609
#> 54  206.3197420  22.7239168 197.3270504 194.1812664 214.8093867   9.2080099
#> 55  191.0131152  15.7194642 182.5478306 178.9521381 199.2047473  15.1663900
#> 56   23.6244369 164.0226574  21.8824055  15.2459440  29.7471635 177.4707228
#> 57  190.0950811   7.1723577 180.9950263 177.9483341 198.6533623   7.8994210
#> 58  206.7583891  38.6232595 198.9411234 194.8720240 214.5420847  32.9725263
#> 59   14.7474981 169.3345228   5.9265819   3.7481573  23.9927466 182.8596746
#> 60  194.6005050  11.4647606 185.4926237 182.4534690 203.1608347   4.5710447
#> 61   15.9122832 167.8422222   7.9402111   3.9638239  24.9892581 181.3653589
#> 62  189.4700443   6.1574623 180.5469440 177.3373139 197.9290380   7.7800325
#> 63   18.0081632 197.5594047  29.1379654  28.5507340   9.3453063 211.0281200
#> 64   13.3063827 171.8776871   2.7447464   5.5658614  22.6567022 185.4041655
#> 65  159.4660087  24.3048793 150.3835889 147.3190700 168.0337212  37.8064734
#> 66    4.6186904 185.9558482  15.4824005  15.1507403   6.1410591 199.4616146
#> 67   12.9254358 173.0605655  13.8137080   7.9405114  19.4234504 186.5490548
#> 68   16.5543565 188.6773179  26.1704609  23.3640047  12.6294850 202.1122362
#> 69    7.1868836 179.9541940   5.3686792  10.0854417  15.8598979 193.4806540
#> 70    3.7718874 182.6733532  12.9783318  11.9383235   9.4234795 196.1802282
#> 71    3.9294820 179.8435779   9.2992837   8.5516574  12.5410299 193.3588387
#> 72   24.2391402 172.0696371  27.3071741  21.1542497  26.9491904 185.4440206
#> 73   22.0124235 162.9762562  18.0090328  11.6385963  29.4203995 176.4624179
#> 74  194.1185556  14.8675223 185.5157600 182.0315081 202.3893430  10.8264340
#> 75  187.6530909   5.2683037 178.5422161 175.5056895 196.2186935  10.2560930
#> 76   23.2205882 160.6194234  16.8885087  11.4723215  31.4769292 174.1267987
#> 77  207.9484556  24.7464794 199.1013885 195.8254826 216.3537298  11.5707860
#> 78   14.9363615 184.1610197  23.2328005  19.6430881  13.8539279 197.6012920
#> 79  167.4909043  16.1531123 158.4684632 155.3481685 176.0197822  29.6745331
#> 80   13.7143023 170.6209239   4.4868404   3.8435487  23.0250700 184.1466786
#> 81  189.5976264   7.8669230 180.7950024 177.4790811 197.9876086   8.9173179
#> 82   18.1114557 172.0673165  20.1844500  14.0513498  22.6169581 185.5117510
#> 83  196.4589094  14.9509474 187.7427878 184.3532937 204.7945617   7.4433879
#> 84  184.6622680   2.7041455 175.7671045 172.5321852 193.1082862  12.6299766
#> 85    7.8522609 176.2137718   9.2330219   5.6937028  15.9193432 189.7241112
#> 86    5.7936672 189.3888089  16.1782715  17.9359594   4.9272584 202.9075335
#> 87  200.5567809  17.0684441 191.6275156 188.4240503 209.0131431   3.7554843
#> 88  192.0317765  13.0361723 183.4107964 179.9413163 200.3146210  11.0586216
#> 89  203.4816771  20.3266341 194.6320993 191.3581172 211.8907299   7.4532235
#> 90  184.8265408   8.8506369 176.1721092 172.7296560 193.1338610  15.0064312
#> 91   22.1134437 161.4891919  14.7312552  10.0194813  30.7682712 175.0063071
#> 92  171.8339136  17.7274817 163.3898128 159.7746460 180.0283375  28.5617714
#> 93   10.7234026 182.6472272  18.8182582  15.6061397  11.7766839 196.1178988
#> 94  185.7704607  10.7540784 177.1839314 173.6854227 194.0374282  15.4194046
#> 95  195.3732226  12.5325592 186.5343720 183.2504534 203.7805891   4.3266600
#> 96  198.8018698  20.1830049 190.2972682 186.7338409 207.0115246  13.3730703
#> 97  185.5767062   4.3010534 176.7308049 173.4523617 193.9940530  12.0538232
#> 98   24.8716498 160.5234033  20.7544361  14.4814841  32.1086163 173.9994694
#> 99  222.9859893  41.8803555 214.4728335 210.9186237 231.1865958  29.5252971
#> 100  30.7187826 152.8846137  22.3936241  18.5735582  39.4360211 166.4046970
#>              13          14          15          16          17          18
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14   25.8462776                                                            
#> 15  184.4609844 194.7073921                                                
#> 16  175.4269350 186.4908387  10.7709803                                    
#> 17  177.4534944 187.9517698   7.1739758   4.7123723                        
#> 18  199.1034725 209.8906358  15.6051292  23.6911271  21.9632487            
#> 19  176.4391217 187.3309060   9.2365598   1.6249827   3.1555934  22.6703293
#> 20  186.1379709 195.9426343   3.8175368  14.1428653   9.9749740  15.7733216
#> 21  181.0079059 191.8239916   5.5361473   5.8030949   4.4770942  18.1155036
#> 22  181.7512981 192.7096503   6.1578264   6.3389287   5.8024955  17.3565257
#> 23    3.7704035  22.7582333 183.6611558 174.7498146 176.6865172 198.4051575
#> 24  197.0043910 207.8401084  13.7597423  21.5843459  19.9479070   2.1204103
#> 25  176.7857912 187.5733165   8.5544975   2.4661404   2.3000718  22.3589575
#> 26   21.1750461  28.7552329 167.5694078 159.0087851 160.6960043 182.5577323
#> 27  189.5673396 199.2054442   6.8624746  17.5623831  13.5424793  13.9871838
#> 28  167.2173569 178.3778042  18.2317811   8.2117690  11.1198937  31.9022248
#> 29    9.3383245  32.3832280 175.5886601 166.4632249 168.5570546 190.1493020
#> 30  201.8613220 208.5747025  32.5599528  42.2466103  37.5960185  34.3305396
#> 31  179.2900313 190.0548247   6.4093623   4.3919641   2.8654458  19.8618308
#> 32  189.3413053 196.8002287  22.2370211  30.4512716  25.7420657  29.6483074
#> 33  172.0096696 182.7558511  12.8273218   4.3288875   5.6574896  27.1680997
#> 34  190.4771746 199.1729179  13.4564616  23.2287375  18.6621391  19.9463959
#> 35  194.2401973 203.9907383  10.3690721  21.0219028  17.5035653  10.3341631
#> 36   14.0020758  12.4351909 186.9939445 178.4295847 180.1223631 201.9832125
#> 37   35.8417700  30.7731624 165.1600986 157.3204237 158.5338773 180.4970644
#> 38  196.4126518 205.9552127  12.9684574  23.6753074  20.0497784  11.1271057
#> 39   30.0837746  23.0242182 172.3147712 164.3280130 165.6363385 187.5965596
#> 40   12.8673617  13.3439783 187.1176792 178.5107330 180.2328281 202.0799654
#> 41    6.4678828  25.4455976 178.9165165 169.9975037 171.9392113 193.6539693
#> 42    9.7885505  27.3178872 175.4040486 166.5015341 168.4308594 190.1541987
#> 43  193.3199964 202.8261846  10.4106025  21.1814176  17.3162526  12.6084997
#> 44  186.8476379 197.2605431   2.8144035  12.2565065   9.3945147  12.8557517
#> 45    3.5894248  23.4299532 187.7041675 178.7184092 180.7097516 202.3879072
#> 46   16.0870221  36.7708308 168.6997704 159.5661667 161.6654106 183.2526050
#> 47  210.3002428 219.1951868  27.6477008  38.3064493  34.7317358  19.5096043
#> 48  191.7575931 200.4920781  13.7818909  23.8468300  19.3514293  19.1130012
#> 49  187.0281980 194.8157681  19.3571456  27.2036548  22.5018619  28.0857396
#> 50  178.6363387 188.8065278   5.9051056   7.4462019   2.7340536  21.4205066
#> 51   22.7114623  27.8003005 167.7583925 159.2983195 160.9169523 182.8069989
#> 52  194.3994877 202.2368460  21.1822531  30.7926766  26.1548263  25.4043995
#> 53    2.6925001  24.9702383 187.1516729 178.1194101 180.1449205 201.7958699
#> 54   13.2082426  25.9497677 197.6149526 188.5370358 190.5973744 212.2195834
#> 55   13.0605610  16.1027200 182.3788582 173.7917913 175.4995266 197.3531333
#> 56  173.4652045 182.0547290  17.3214991  18.8363527  15.1504298  31.9902846
#> 57    5.4008121  31.0789535 181.3806801 172.2051009 174.3374276 195.8946136
#> 58   33.2275190   7.3820690 198.2655885 190.2852733 191.5942864 213.5550244
#> 59  178.9247833 189.6082819   6.3507131   4.4446214   2.1288627  20.2857997
#> 60    4.8666648  29.9197101 185.8857214 176.7028381 178.8411241 200.3927658
#> 61  177.4229711 187.9352200   7.2276574   4.6035338   0.1106011  21.9746418
#> 62    3.7352643  26.8018684 180.7712498 171.7584184 173.7689247 195.4316701
#> 63  207.0313010 215.6843901  25.5247280  36.2888855  32.4381365  19.7574408
#> 64  181.4822981 192.4493518   6.3241031   6.0671055   5.6405446  17.6267570
#> 65   33.9561919  50.8864919 150.7513837 141.5933633 143.7088834 165.2807895
#> 66  195.4911667 205.0955499  11.9408649  22.6443477  19.0308937  10.9207533
#> 67  182.5643315 191.8259909   8.1096964  15.2899444  10.5783435  21.3860160
#> 68  198.1014089 206.2587607  21.1171343  31.4483790  27.0031922  22.3560216
#> 69  189.5573520 200.4281615   7.4324611  14.1462829  12.6710910   9.5473079
#> 70  192.2110035 201.8762506   8.8328549  19.5982444  15.8289382  12.0711882
#> 71  189.4002367 199.3890343   5.2488378  15.9422601  12.3938385  12.1502485
#> 72  181.4172693 188.9261379  21.5868292  27.3101993  22.8290901  32.7327224
#> 73  172.4763147 181.7835582  14.4042007  13.7809509  10.5680733  29.8617428
#> 74    9.4776713  16.8785606 185.4619259 176.7457487 178.5436234 200.3509903
#> 75    7.2878612  32.3481382 178.9378252 169.7524144 171.8919904 193.4423088
#> 76  170.1585258 180.0409248  14.7802212  10.6603399   8.9191506  30.3281505
#> 77   15.1130639  21.9909843 199.2592584 190.3150369 192.2772050 213.9781103
#> 78  193.5924405 201.8691439  17.7856317  27.6803542  23.1110655  22.0775830
#> 79   25.7937339  43.4847504 158.7814034 149.6784117 151.7533999 173.3615381
#> 80  180.2151956 190.9693707   5.6789614   5.2363810   3.5186848  18.9412364
#> 81    5.2748013  23.8827082 180.9126191 172.0112359 173.9404155 195.6642232
#> 82  181.5046625 189.9558097  14.5012305  20.5745827  15.9697278  26.7130999
#> 83    7.2571761  18.6548904 187.7858092 178.9638638 180.8368199 202.5990224
#> 84    8.5891591  28.8046257 175.9661334 166.9795334 168.9702043 190.6482605
#> 85  185.7589433 195.5927475   3.4696443  13.7173525   9.5420415  15.9615151
#> 86  198.9545799 209.0252695  14.5051351  24.4508197  21.6096257   6.2067725
#> 87    7.4195545  23.7781443 191.8579851 182.8386495 184.8550799 206.5135854
#> 88    8.9291009  18.4553374 183.3721551 174.6393535 176.4486376 198.2493532
#> 89   10.7321450  21.4025412 194.7919156 185.8457536 187.8089018 209.5088589
#> 90   11.3323697  24.0244398 176.1612367 167.3983796 169.2279022 191.0162003
#> 91  171.0509854 181.2860556  13.4443395   7.9058053   6.8451392  28.7281270
#> 92   24.6397626  32.9171708 163.2010101 154.6383091 156.3261844 178.1871977
#> 93  192.1223201 200.9300554  13.4872230  23.6894733  19.2428594  18.4105078
#> 94   12.0265896  22.1618334 177.1155600 168.4159861 170.2010979 192.0149139
#> 95    3.7658111  22.2504666 186.6842157 177.7486917 179.7032689 201.4091392
#> 96   13.4887684  12.4070100 190.1616517 181.5363232 183.2715188 205.1124577
#> 97    8.0187133  27.1918367 176.8861839 167.9451167 169.9026083 191.6057548
#> 98  170.0072416 179.1294876  17.2987083  15.8514982  13.1154553  32.7590142
#> 99   32.5959841  23.1308575 214.3464111 205.7093661 207.4554089 229.2924311
#> 100 162.4550777 172.9250879  22.0070215  14.0083619  15.0483386  36.9658113
#>              19          20          21          22          23          24
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20   12.5426389                                                            
#> 21    4.5788512   9.2888229                                                
#> 22    5.3818586   9.9746174   1.3966256                                    
#> 23  175.7349416 185.2696070 180.2964401 181.0638733                        
#> 24   20.5808338  14.2544076  16.0364331  15.2534204 196.3120676            
#> 25    0.8606870  11.7733587   4.2509345   5.2367881 176.0649872  20.2844771
#> 26  159.9168504 168.9975352 164.4483088 165.2800611  18.5516890 180.4846825
#> 27   15.9877985   3.6103845  12.3679390  12.8150074 188.6762359  12.8433544
#> 28    9.3321880  21.0440683  13.9005376  14.5468362 166.5462859  29.7960618
#> 29  167.4949556 177.3222512 172.0678831 172.7933529  10.3650107 188.0463175
#> 30   40.6275174  28.7468526  38.0068097  38.7167288 200.5411055  34.6814572
#> 31    2.9638346   9.9255530   1.7933657   2.9871032 178.5683300  17.7922435
#> 32   28.8884408  18.6015420  27.1753540  28.1671864 188.1178393  29.1636435
#> 33    4.6473170  15.5137689   9.0682529  10.0047885 171.2765562  25.0981398
#> 34   21.6039112   9.6394769  18.8661790  19.6109837 189.4408113  19.3187280
#> 35   19.5447253   8.1024211  15.3881572  15.4500314 193.3714044   9.7657082
#> 36  179.3407504 188.4128564 183.8732540 184.7030738  10.5722893 199.9096708
#> 37  158.0807469 166.2274205 162.5192532 163.4614511  32.4511807 178.4743514
#> 38   22.1811680  10.3861865  18.0727933  18.1515028 195.5132292  11.0534826
#> 39  165.1188177 173.4486127 169.5796339 170.5006763  26.4665775 185.5627308
#> 40  179.4308848 188.5590824 183.9675730 184.7900786   9.5040920 200.0038201
#> 41  170.9838331 180.5316311 175.5457463 176.3120417   4.7544654 191.5605803
#> 42  167.4838891 177.0118694 172.0446329 172.8143361   8.2578684 188.0617181
#> 43   19.6378970   7.4504978  15.7646528  16.0237960 192.4119120  12.0187534
#> 44   10.8745709   5.0004380   6.5102704   6.5313378 186.0770260  10.9724219
#> 45  179.7202272 189.3523273 184.2864080 185.0391491   4.5943052 200.2910522
#> 46  160.5990347 170.4417059 165.1722108 165.8965512  16.4084860 181.1494227
#> 47   36.8372045  24.9496671  32.6232242  32.5637282 209.3126137  20.9578757
#> 48   22.2230465   9.9816581  19.2683101  19.9330783 190.7284485  18.6011261
#> 49   25.6543761  15.8487175  24.1192742  25.1625875 185.8510832  27.3945583
#> 50    5.8816070   7.8759045   5.7340696   7.1229918 177.8179628  19.5077288
#> 51  160.1853034 169.1339176 164.7061675 165.5547240  19.8291912 180.7402440
#> 52   29.1721859  17.3648375  26.5848809  27.3375796 193.2373086  25.2636272
#> 53  179.1314443 188.8263902 183.7001724 184.4437377   5.0235715 199.6968208
#> 54  189.5600706 199.3112027 194.1311718 194.8648623  14.8249914 210.1182653
#> 55  174.7072375 183.8122088 179.2418490 180.0680702   9.2923245 195.2782582
#> 56   17.7760127  16.2180644  19.0107663  20.4007203 172.3937057  30.4468991
#> 57  173.2486650 183.1404830 177.8235347 178.5380913   8.3955072 193.7894144
#> 58  191.0781125 199.3810230 195.5393631 196.4599690  30.1257571 211.5218505
#> 59    2.8859129   9.7118487   2.3938974   3.6806099 178.1894585  18.2323723
#> 60  177.7484427 187.6477221 182.3235955 183.0362820   8.6331470 198.2871839
#> 61    3.0451707  10.0552102   4.4371231   5.7534772 176.6582170  19.9558590
#> 62  172.7655618 182.4380047 177.3331583 178.0810348   4.2143306 193.3336542
#> 63   34.7608632  22.4972131  30.7544255  30.8526927 206.0038632  20.8731416
#> 64    5.1254421  10.1373430   1.3221884   0.2741319 180.7960093  15.5228651
#> 65  142.6296289 152.5183561 147.2035177 147.9244883  33.7329014 163.1770353
#> 66   21.1509714   9.4135257  17.0438485  17.1309783 194.6005697  10.6566931
#> 67   13.7092336   5.7535870  12.2136291  13.3503729 181.6069733  19.9554899
#> 68   29.8283657  17.4053714  26.6518026  27.1902546 196.9907653  22.5409830
#> 69   13.1343099   9.5440714   8.6045923   7.8096004 188.8636569   7.4484107
#> 70   18.0693430   6.1199063  14.1320868  14.3676004 191.3268027  11.2269648
#> 71   14.4446209   3.6745317  10.4009070  10.6188805 188.5643995  10.7273773
#> 72   25.9151918  18.6783134  25.4560847  26.6877161 180.1926328  31.7698104
#> 73   12.8659909  14.4511254  14.8037970  16.1952553 171.5144002  28.1069333
#> 74  177.6889229 186.9626380 182.2355399 183.0389454   5.9875751 198.2684360
#> 75  170.7979810 180.7045182 175.3731579 176.0858209   9.6132799 191.3367596
#> 76   10.2043700  15.9857980  13.3903710  14.6825403 169.2842622  28.4058791
#> 77  191.3087329 200.8790051 195.8726003 196.6327261  15.6169840 211.8830949
#> 78   26.0554770  13.9748553  23.2480469  23.9417168 192.4954611  21.8293564
#> 79  150.7032698 160.5116017 155.2750080 156.0065434  25.5552985 171.2599164
#> 80    3.8677553   9.3060666   0.9598444   2.3076246 179.4927834  16.8743749
#> 81  172.9939175 182.5169192 177.5546974 178.3242199   2.7594756 193.5716931
#> 82   19.1055634  11.8081276  18.3581253  19.5729497 180.4214534  25.5220010
#> 83  179.9299816 189.3428945 184.4852176 185.2692115   4.9403985 200.5105473
#> 84  167.9804040 177.6205614 172.5464422 173.2998465   8.0406884 188.5515930
#> 85   12.1155288   0.4329343   8.9031571   9.6172515 184.8947917  14.4040291
#> 86   23.1356172  13.1586222  18.6482699  18.3263655 198.1409168   6.7594736
#> 87  183.8482347 193.5232512 188.4163427 189.1621764   8.7924081 204.4150557
#> 88  175.5858656 184.8829132 180.1338496 180.9344068   5.1782240 196.1658848
#> 89  186.8395031 196.4146483 191.4034235 192.1634392  11.1659415 207.4138202
#> 90  168.3505577 177.6921271 172.9008590 173.6964745   8.5469429 188.9311661
#> 91    7.5917567  15.2670423  11.1953649  12.4059997 170.2340979  26.7402531
#> 92  155.5462137 164.6331106 160.0777088 160.9094415  22.3376529 176.1140871
#> 93   22.0683396   9.7137012  18.9992199  19.6223454 191.1047702  17.9178592
#> 94  169.3547138 178.6117755 173.8996562 174.7065753   8.8071230 189.9334471
#> 95  178.7393920 188.3046780 183.3025131 184.0650998   3.0972516 199.3147731
#> 96  182.4606710 191.6113091 186.9991991 187.8183379  10.6679919 203.0351645
#> 97  168.9360668 178.5146399 173.4993610 174.2615613   6.8458980 189.5112991
#> 98   15.1245035  17.3013724  17.4666271  18.8464465 169.0134774  31.0062979
#> 99  206.6383326 215.7917775 211.1785408 211.9943708  31.9821564 227.2141459
#> 100  14.5671440  23.9315549  18.9463683  19.9258491 161.6649864  34.9206842
#>              25          26          27          28          29          30
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26  160.2006293                                                            
#> 27   15.2494387 172.3407484                                                
#> 28    9.8180190 150.8425821  24.6369312                                    
#> 29  167.8539642  17.2147095 180.7702498 158.2516817                        
#> 30   39.7805453 183.2240967  26.1792167  47.4179767 193.5037540            
#> 31    2.5042979 162.6960071  13.2471081  12.2772185 170.3581625  38.4129736
#> 32   28.0279561 171.0118533  17.3558927  34.6300028 180.8763479  13.5561420
#> 33    4.8174655 155.3896380  19.1130066   5.5414060 163.0886344  42.1740247
#> 34   20.7709237 172.7509096   7.5995191  29.0911044 181.8145240  19.1443009
#> 35   18.9006560 177.0845999   4.8269353  28.5970679 185.4224343  25.7938457
#> 36  179.6257989  19.4263968 191.7505198 170.2607058  19.9484046 202.3736152
#> 37  158.2772904  16.9011857 169.4204158 149.2971059  33.8571513 178.0352936
#> 38   21.5198021 179.1460068   6.8554213  31.1640385 187.6208116  23.7759466
#> 39  165.3328942  14.6972175 176.6703007 156.2675470  29.8391380 185.6218384
#> 40  179.7213424  19.5672553 191.9053044 170.3362863  19.0900564 202.6713529
#> 41  171.3147466  14.7369332 183.9409135 161.7936761   6.9646968 195.8922544
#> 42  167.8124698  11.8680578 180.4189786 158.2989298   6.4658233 192.3580740
#> 43   18.9309619 176.0278777   3.8476702  28.4300934 184.5366985  24.0341197
#> 44   10.3307885 170.0578680   6.7026699  20.1481985 177.9513328  32.8818138
#> 45  180.0604204  23.1459343 192.7719960 170.5106800  12.9031696 204.8541842
#> 46  160.9589533  15.3211039 173.8928188 151.3545796   6.8981319 186.7458588
#> 47   36.1913796 192.7116816  21.3451922  45.8484389 201.5846098  20.8935380
#> 48   21.4032465 174.0536705   7.5062182  29.9471659 183.0874262  18.7932947
#> 49   24.7948995 168.8474836  15.0538782  31.2891578 178.5127890  16.6918334
#> 50    5.0219350 161.6890539  11.4858877  13.2654982 169.7809419  34.9138882
#> 51  160.4564400   2.4994572 172.4568444 151.1469925  19.4367122 183.0042528
#> 52   28.3270056 176.2571921  15.0573726  36.1807506 185.8649157  11.4609659
#> 53  179.4779505  23.3771247 192.2548256 169.9098431  11.9535733 204.5110355
#> 54  189.9131315  33.2991342 202.7458950 180.3260744  22.1036940 215.0547644
#> 55  174.9949915  14.8150796 187.1558276 165.6203514  16.8983021 197.9156126
#> 56   17.0882422 155.6481952  18.5074845  19.5063142 164.8444186  31.1082751
#> 57  173.6148724  21.8155389 186.5961176 163.9933565   5.9682591 199.4430544
#> 58  191.2926079  34.4286554 202.5913035 182.2205225  39.6278727 211.1518860
#> 59    2.2427923 162.2809510  13.1179864  12.0537967 170.0033577  38.0423009
#> 60  178.1158063  25.1604364 191.1037239 168.4911423  10.4230812 203.9260548
#> 61    2.1894960 160.6737179  13.6189227  11.0516518 168.5247922  37.6999864
#> 62  173.1092183  17.8994223 185.8643199 163.5497009   6.2264855 198.1263304
#> 63   34.0634165 189.3131441  18.9008125  43.5376095 198.3545891  17.4857654
#> 64    4.9996602 165.0159102  13.0171420  14.2759792 172.5235966  38.8834773
#> 65  142.9922795  22.8263847 155.9786499 133.3816734  24.8740434 169.1865491
#> 66   20.4910217 178.2568396   5.9244095  30.1427804 186.6918741  24.4029878
#> 67   12.8486699 165.1187844   7.7990502  20.3704627 173.8291571  27.1828378
#> 68   29.0195685 180.1203740  14.3962632  37.6174566 189.5110181  12.2642865
#> 69   12.8555259 173.0465481  10.1310320  22.3562020 180.6020097  35.7258253
#> 70   17.3782579 175.0043505   2.6714348  26.9488006 183.4071064  25.5610199
#> 71   13.7880094 172.3699303   2.8501873  23.4780294 180.5560332  28.8617550
#> 72   25.0918185 163.0939567  18.9649876  29.8063782 172.9571866  21.0339270
#> 73   12.2566792 155.0332212  17.4801372  14.3303908 163.7492118  34.6001134
#> 74  177.9933462  18.2963730 190.3310723 168.5587457  15.6286192 201.4920099
#> 75  171.1655010  20.5379008 184.1624116 161.5407127   3.7880793 197.0746130
#> 76    9.8425602 153.0281786  19.4188595   9.6918521 161.3533877  38.8994868
#> 77  191.6436536  33.3367599 204.2883220 182.1090692  24.4244438 216.0941442
#> 78   25.2228806 175.6615454  11.5053556  33.4604251 184.9895632  14.7754091
#> 79  151.0585518  16.6617951 163.9599504 141.4673919  16.8106498 176.8448868
#> 80    3.4296590 163.6165313  12.5402237  13.1931199 171.2836024  37.9208591
#> 81  173.3225399  16.0544933 185.9223574 163.8084672   8.5518789 197.7861431
#> 82   18.2620965 163.6359308  12.7263301  24.0801016 172.8923548  23.8699355
#> 83  180.2482957  21.3096331 192.7313761 170.7667263  15.2972431 204.2314721
#> 84  168.3203325  14.0483402 181.0432190 158.7720851   4.1009979 193.2721827
#> 85   11.3441933 168.6341278   4.0368744  20.6124135 176.9397332  29.1164500
#> 86   22.6188267 181.9877546  10.2737703  32.4366523 190.0895266  28.1282109
#> 87  184.1931130  27.3037118 196.9482666 174.6294518  16.6489208 209.1047284
#> 88  175.8923709  16.3738065 188.2551920 166.4507680  13.9279171 199.4998555
#> 89  187.1745597  29.1246562 199.8252864 177.6398046  20.0686248 211.6857780
#> 90  168.6607115  10.0050534 181.0723250 159.2072938  10.3898591 192.5155715
#> 91    7.3378788 154.1251743  18.8334385   7.6461335 162.1969047  39.9935583
#> 92  155.8300504   4.3706367 167.9783473 146.4723888  19.3691038 178.9380423
#> 93   21.2573949 174.4568095   7.0538653  29.9339385 183.4407618  19.1528045
#> 94  169.6566809  10.1463347 181.9793420 160.2314195  12.2397847 193.1924480
#> 95  179.0727763  21.5497144 191.7151459 169.5435852  12.5647583 203.6295662
#> 96  182.7535791  22.6304358 194.9603737 173.3593256  20.8297760 205.7514255
#> 97  169.2698726  13.6661973 181.9285901 159.7400346   5.5726119 193.9840542
#> 98   14.5986165 152.4591615  20.2484283  14.9918984 161.3112807  35.8708420
#> 99  206.9334746  46.7968317 219.1373001 197.5292455  41.8678196 229.7052591
#> 100  14.7121471 145.6476792  27.4876050   7.1591608 153.5822102  47.2426545
#>              31          32          33          34          35          36
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
#> 27                                                                         
#> 28                                                                         
#> 29                                                                         
#> 30                                                                         
#> 31                                                                         
#> 32   27.1470575                                                            
#> 33    7.3064993  29.6584337                                                
#> 34   19.2881092   9.9253523  23.6375642                                    
#> 35   16.6304202  19.4033814  23.1591936   9.6165634                        
#> 36  182.1214300 190.2563868 174.8151153 192.1102945 196.4979972            
#> 37  160.7369454 166.4203249 153.4671841 169.0933785 174.2279670  27.9222468
#> 38   19.2836086  18.6833188  25.6938730   9.4138496   2.7029381 198.5519168
#> 39  167.8017387 173.9262965 160.5182265 176.4650527 181.4699274  20.5783005
#> 40  182.2182960 190.5181948 174.9124939 192.3120148 196.6473424   1.2007612
#> 41  173.8181674 183.4428096 166.5269598 184.7266285 188.6336236  13.0195345
#> 42  170.3156910 179.9066358 163.0231592 181.1945645 185.1136929  15.1083017
#> 43   16.8141510  17.1449632  22.9192775   7.3403469   2.2762338 195.4324446
#> 44    7.9118522  23.4760286  14.9308229  14.1041229   8.9247588 189.4838581
#> 45  182.5644376 192.3859997 175.2791867 193.6156555 197.4547405  12.3643413
#> 46  163.4631218 174.0840271 156.1945995 174.9658449 178.5413355  24.5757675
#> 47   33.9170231  24.7745420  40.3694890  20.0281950  17.2927945 212.0835488
#> 48   19.8028648  10.5636048  24.4593170   1.3389698   8.8398353 193.4157058
#> 49   24.0039288   3.3409012  26.3301505   8.1484101  17.7516985 188.1279204
#> 50    4.7297966  23.0088771   7.7259085  16.0658056  15.7866927 181.1126724
#> 51  162.9482723 170.8761444 155.6421137 172.7570935 177.2129501  19.3802512
#> 52   26.9564401   6.0529444  30.8506808   7.7267423  15.6607036 195.5424206
#> 53  181.9821865 192.0027488 174.7016583 193.1560964 196.9286575  13.7726807
#> 54  192.4174278 202.5464836 185.1421623 203.6799894 207.4130566  18.7543768
#> 55  177.4913123 185.7572904 170.1852202 187.5526336 191.8995194   4.6696612
#> 56   17.8416069  17.5528222  15.9778028  17.1209957  23.2294839 175.0008213
#> 57  176.1187650 186.7984972 168.8562406 187.6884564 191.2390758  18.9677654
#> 58  193.7614476 199.6104575 186.4779024 202.3082042 207.3945088  19.7171537
#> 59    0.7561348  26.6346026   6.9151862  18.9445097  16.6722579 181.7069579
#> 60  180.6196324 191.2919650 173.3582224 192.1946191 195.7462071  18.5382735
#> 61    2.8043540  25.8516380   5.6003558  18.7615262  17.5644897 180.1000972
#> 62  175.6133773 185.6088732 168.3307475 186.7574962 190.5403540  14.4555282
#> 63   31.9061389  20.7872140  38.0107831  16.5664570  15.4028492 208.6687044
#> 64    2.8012269  28.2731933   9.7547984  19.7686340  15.6960896 184.4387695
#> 65  145.4963347 156.4255809 138.2309279 157.1379083 160.6159605  39.8459773
#> 66   18.2526243  18.7440125  24.6777460   9.2263985   1.6955344 197.6651583
#> 67   11.9951889  15.1977767  15.0155405   8.8500736  12.5721610 184.5127468
#> 68   27.3208404  10.7078661  32.1350370   8.5684592  13.5346928 199.4360708
#> 69   10.3755701  27.4629763  17.6727840  17.7191649  10.1859650 192.4710096
#> 70   15.2197349  18.0876620  21.4591109   8.1684520   2.1921315 194.4149822
#> 71   11.5517611  20.1869709  18.0512266  10.4485109   5.1202516 191.7899127
#> 72   24.9085429   7.9252224  25.4884312  13.3382326  22.5230030 182.3444510
#> 73   13.3999515  21.2275388  10.7064521  18.3419018  22.3013468 174.4299476
#> 74  180.4932244 189.2386995 173.1902910 190.8648491 195.0577002   4.5848008
#> 75  173.6693133 184.4132936 166.4082070 185.2731164 188.8025715  20.0370326
#> 76   11.6981087  25.6750991   6.8164896  21.7550929  24.0871571 172.4462127
#> 77  194.1473608 203.7033807 186.8584233 205.0563947 208.9810246  16.6264088
#> 78   23.7197631   7.9942221  28.0356960   4.4520073  12.1496907 194.9879437
#> 79  153.5628248 164.1623099 146.2902095 165.0249178 168.6117916  32.0538544
#> 80    0.9254998  26.8553675   8.2270447  18.7790644  15.8006258 183.0420587
#> 81  175.8257589 185.3595310 168.5331908 186.6820918 190.6186092  11.4574076
#> 82   17.8868319  10.6049793  19.2666873   9.3110876  16.9270828 182.9773957
#> 83  182.7503561 191.8993154 175.4524869 193.3810275 197.4423556   7.4443474
#> 84  170.8243432 180.7558491 163.5390597 181.9172266 185.7229787  16.4254449
#> 85    9.5110049  18.8591003  15.0828644   9.9942550   8.4827184 188.0503002
#> 86   20.1735811  23.9591334  27.2060468  14.6214861   5.5808392 201.4092256
#> 87  186.6973064 196.6245344 179.4154537 197.8230386 201.6256292  14.3145522
#> 88  178.3926271 187.2232979 171.0903236 188.8131890 192.9789444   6.0206083
#> 89  189.6782789 199.2771418 182.3894737 200.6052966 204.5167474  13.6687304
#> 90  171.1615978 180.1810686 163.8605478 181.6837809 185.7899455  12.2366926
#> 91    9.4329905  27.0433690   4.0123306  22.1374390  23.3064079 173.5498106
#> 92  158.3254617 166.6995426 151.0191008 168.4047786 172.7208657  23.7965197
#> 93   19.5928520  11.2533671  24.4277002   1.9278625   8.1530536 193.8238115
#> 94  172.1561183 180.9146277 164.8525572 182.5162204 186.7065678  10.6233382
#> 95  181.5763834 191.1986669 174.2866018 192.5010602 196.4067580  10.7995867
#> 96  185.2510887 193.5961408 177.9456202 195.3801116 199.7005630   3.5831351
#> 97  171.7735182 181.5080978 164.4841160 182.7457928 186.6168941  14.8197497
#> 98   15.9773443  22.3472934  12.3005018  20.5577469  25.0751983 171.8465298
#> 99  209.4314241 217.6361025 202.1262653 219.5181649 223.8799307  27.4079430
#> 100  17.1622124  33.8608854   9.9231705  30.2979969  31.9731606 165.0740335
#>              37          38          39          40          41          42
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
#> 27                                                                         
#> 28                                                                         
#> 29                                                                         
#> 30                                                                         
#> 31                                                                         
#> 32                                                                         
#> 33                                                                         
#> 34                                                                         
#> 35                                                                         
#> 36                                                                         
#> 37                                                                         
#> 38  176.1156800                                                            
#> 39    7.8203682 183.3889099                                                
#> 40   28.7326098 198.7118131  21.4852622                                    
#> 41   29.9491606 190.7790341  24.7906278  12.2105340                        
#> 42   27.8973051 187.2562685  23.4632938  14.4955364   3.5362266            
#> 43  172.9845961   3.1311021 180.2580611 195.5940259 187.6787236 184.1552514
#> 44  167.7672577  11.6240034 174.9016451 189.5992180 181.3301152 177.8210772
#> 45   36.7439877 199.6139717  30.4555245  11.1673726   8.9792256  12.5034719
#> 46   32.1131684 180.7441197  29.6449198  23.9325219  12.0331460   9.4724945
#> 47  189.1206990  14.6854666 196.4930015 212.2762308 204.5908859 201.0613990
#> 48  170.4198279   8.3514755 177.7885964 193.6155729 186.0130597 182.4813494
#> 49  164.5133083  17.4690839 171.9828737 188.3738055 181.1649843 177.6288729
#> 50  159.2553393  18.2101508 166.4098654 181.2399689 173.0748484 169.5604109
#> 51   14.5010349 179.2496560  12.2696705  19.6723892  16.3733483  13.7833052
#> 52  171.9289587  14.2821307 179.4018065 195.7861961 188.5480774 185.0121134
#> 53   37.4618066 199.0998157  31.3595094  12.5822461   8.8560105  12.2997720
#> 54   45.8500457 209.5927711  38.9693747  17.6871621  19.2619844  22.7688517
#> 55   24.8064449 193.9609170  18.0015417   4.7618220  10.0062214  11.2936344
#> 56  151.9988431  24.6242913 159.3574582 175.2069483 167.6853253 164.1518012
#> 57   37.7863640 193.4482989  32.8410657  17.8937845   8.0573168   9.9920269
#> 58   33.2171145 209.2990107  25.9597293  20.6746717  32.6694592  34.3472981
#> 59  160.2585326  19.3013334 167.3353533 181.8079919 173.4400809 169.9357744
#> 60   40.4199637 197.9559605  34.8608627  17.3655432  10.5541169  13.3480690
#> 61  158.5230762  20.1150627 165.6233147 180.2098437 171.9107521 168.4026793
#> 62   33.2429807 192.7086634  27.9936403  13.4673943   3.2958491   6.2025876
#> 63  185.5509033  12.7012639 192.9479179 208.8731859 201.2885434 197.7568279
#> 64  163.2061722  18.3968493 170.2434091 184.5253080 176.0441264 172.5465955
#> 65   34.3220565 162.8317983  35.9905010  39.5288432  29.0300514  25.7220453
#> 66  175.2793660   1.0310295 182.5429991 197.8219115 189.8652998 186.3433276
#> 67  161.9417243  14.1973865 169.2303850 184.6860397 176.8801289 173.3529179
#> 68  176.0183288  11.5454241 183.4610767 199.6644655 192.2907092 188.7557666
#> 69  171.1074622  12.6944916 178.1766305 192.5629729 184.1121723 180.6133207
#> 70  172.0913101   4.2708687 179.3417209 194.5685269 186.5907241 183.0693782
#> 71  169.7270439   7.7366009 176.9279295 191.9269910 183.8231133 180.3065755
#> 72  158.5747061  22.7189602 166.0664129 182.6035306 175.5176174 171.9814460
#> 73  151.9528297  24.1735726 159.2172351 174.6004206 166.7879453 163.2605284
#> 74   29.4895906 197.1500296  22.7010389   3.5438668   8.8409692  11.4480788
#> 75   36.8943631 191.0150306  32.3718612  19.0326766   7.9625784   9.0146493
#> 76  150.4212294  26.2727214 157.6001343 172.5876158 164.5466015 161.0265596
#> 77   44.4381374 211.1262383  37.1995534  15.7271165  20.3474892  23.8709613
#> 78  171.6691780  10.9641480 179.0934532 195.2103429 187.7925594 184.2580341
#> 79   30.9685970 170.8106881  30.9824733  31.6597039  20.8667631  17.6082873
#> 80  161.6426308  18.4654785 168.7111110 183.1395263 174.7426707 171.2400694
#> 81   30.5951959 192.7588947  25.0180498  10.5554970   2.0692957   5.5100715
#> 82  159.8349555  17.7633656 167.2229539 183.1907269 175.7155336 172.1815230
#> 83   33.2659349 199.5603251  26.5278936   6.2437116   9.3606500  12.6404355
#> 84   30.2936246 187.8863621  25.9167459  15.6772447   3.5659845   2.4541793
#> 85  165.8892203  10.7934482 173.1056734 188.1950358 180.1563507 176.6370044
#> 86  179.3588980   5.2826580 186.5636768 201.5426012 193.3976964 189.8833800
#> 87   40.3507984 203.7920823  33.7468978  13.1427975  13.2467161  16.7666667
#> 88   28.3668656 195.0762016  21.8911495   5.2147567   7.0072158   9.3755002
#> 89   40.9706578 206.6637738  33.9778778  12.6142697  15.8852565  19.4126704
#> 90   24.8061438 187.8974733  19.8315027  11.8574744   5.1448352   3.9688551
#> 91  151.7954381  25.6531938 158.9239289 173.6733478 165.4907109 161.9766142
#> 92   16.7626584 174.7849257  16.5957078  23.9269870  18.1777788  14.9604420
#> 93  170.8776118   7.6369653 178.2380359 194.0200809 186.3874422 182.8563412
#> 94   23.8234417 188.7980080  18.4199963  10.3724811   6.3754443   5.9019587
#> 95   34.9346834 198.5536495  28.6260650   9.6155541   7.7759020  11.3065241
#> 96   31.4768043 201.7684730  24.0690731   3.0801620  14.1929661  16.8596270
#> 97   29.5222037 188.7685531  24.8399846  14.0851017   2.1381151   1.8283478
#> 98  149.2486898  26.8701572 156.5330362 172.0260897 164.2917189 160.7622008
#> 99   53.1994662 225.9428263  45.3815771  27.2326986  36.6119124  39.8999756
#> 100 143.5749905  34.3168186 150.6457889 165.1849743 156.9191762 153.4084172
#>              43          44          45          46          47          48
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
#> 27                                                                         
#> 28                                                                         
#> 29                                                                         
#> 30                                                                         
#> 31                                                                         
#> 32                                                                         
#> 33                                                                         
#> 34                                                                         
#> 35                                                                         
#> 36                                                                         
#> 37                                                                         
#> 38                                                                         
#> 39                                                                         
#> 40                                                                         
#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44    9.5557259                                                            
#> 45  196.5173706 190.1028902                                                
#> 46  177.6616594 171.0595574  19.5818288                                    
#> 47   17.4993901  26.1162046 213.4623848 194.7227176                        
#> 48    6.5838044  14.1653738 194.8995557 176.2368389  18.7047537            
#> 49   15.4774491  20.8104019 190.0969152 171.7050037  25.5680613   9.1177304
#> 50   15.3248506   8.5677400 181.8715262 162.8944584  32.8219225  16.8151102
#> 51  176.1278321 170.2659745  24.4024062  17.8105475 192.7384842 174.0641768
#> 52   13.5843881  21.7115022 197.4761785 179.0508019  18.7217499   7.5522488
#> 53  196.0067308 189.5390283   1.5513693  18.7515926 212.9827129 194.4370577
#> 54  206.5021965 199.9918705  10.2983407  28.9980155 223.4964941 204.9596290
#> 55  190.8426616 184.8638464  12.6530373  20.6960496 207.5182155 188.8564421
#> 56   21.5590786  20.0389622 176.5859733 158.0076088  37.1407239  18.4375769
#> 57  190.3679174 183.7308073   8.7171246  12.7241689 207.4399814 188.9589542
#> 58  206.1679397 200.8560413  30.7682690  43.7383492 222.3358484 203.6342503
#> 59   16.7532161   8.0954396 182.1937934 163.1091997  33.9648370  19.5025654
#> 60  194.8756998 188.2343395   6.4976793  17.2289596 211.9476124 193.4653847
#> 61   17.3886436   9.4266343 180.6801254 161.6329579  34.7980172  19.4477110
#> 62  189.6148068 183.1627303   6.9958323  12.6390137 206.5858298 188.0386259
#> 63   15.1363854  24.3249025 210.1747055 191.5017109   4.0023516  15.2754837
#> 64   16.2507032   6.7740466 184.7705722 165.6267563  32.8214037  20.1050445
#> 65  159.7544458 153.1024611  37.3614552  17.9759121 176.8534586 158.4030168
#> 66    2.3686466  10.6015675 198.6963094 179.8138830  15.7094648   8.2656756
#> 67   11.0731484  10.3472766 185.7391463 166.9641390  27.7695177   9.8706616
#> 68   11.8475937  21.0327106 201.2041646 182.6807463  14.0765810   7.6765518
#> 69   11.7016800   4.7761024 192.8431585 173.7053022  26.0409481  17.5032291
#> 70    1.6663036   7.8903933 195.4187880 176.5284031  18.9114695   7.6292701
#> 71    5.4058222   4.1710664 192.6286176 173.6709224  22.4039236  10.3104679
#> 72   20.3148689  23.6182458 184.4609785 166.1672208  31.7045783  14.5273572
#> 73   21.0435312  17.2185903 175.6485268 156.8864325  37.8365853  19.5384658
#> 74  194.0373264 187.9209776   8.2748971  20.7563534 210.8008454 192.1630771
#> 75  187.9358668 181.2850867  10.8017857  10.3299100 205.0164196 186.5424794
#> 76   23.2059311  17.4757197 173.3694998 154.4751733  40.5122496  22.8413301
#> 77  208.0256425 201.6689084  11.6516319  31.1985367 224.9295837 206.3443928
#> 78   10.0297173  18.1847256 196.7017504 178.1561727  17.8294748   4.0281183
#> 79  167.7270594 161.1478343  29.1808184   9.9410050 184.7827325 166.2958449
#> 80   16.0491331   7.0270045 183.4893694 164.3885740  33.0767729  19.2449485
#> 81  189.6572089 183.3305033   7.2077719  14.0381862 206.5549283 187.9698598
#> 82   14.9209302  16.6472777 184.6201550 166.0572293  29.2984822  10.6493826
#> 83  196.4530944 190.2223083   4.9561649  21.2834022 213.2874141 194.6742012
#> 84  184.7911164 178.3634502  11.7401302   8.4740580 201.7513760 183.1991384
#> 85    7.8727197   4.8587297 188.9750934 170.0586193  25.3708328  10.3654580
#> 86    7.5908934  12.2930983 202.1926789 183.2013207  14.8599978  13.6113269
#> 87  200.6975299 194.2489540   4.2691229  23.4740945 217.6597951 199.1055218
#> 88  191.9645113 185.8274904   8.5806675  18.7573283 208.7429581 190.1102995
#> 89  203.5637094 197.2007178   7.2155277  26.7934493 220.4740474 201.8925749
#> 90  184.7880256 178.6093909  13.1410355  12.9022625 201.5986455 182.9782705
#> 91   22.6770394  15.9783516 174.2863834 155.3107968  40.1476581  23.1180836
#> 92  171.6672757 165.6885020  26.9076323  15.9185442 188.3614637 169.7067070
#> 93    5.9069547  13.7453513 195.2697691 176.5874165  18.2683473   0.7151254
#> 94  185.6852074 179.5771944  13.3311404  14.8720751 202.4502012 183.8140295
#> 95  195.4536406 189.0947584   1.8294931  19.0059812 212.3666199 193.7877729
#> 96  198.6512395 192.6398159  11.0477821  26.1609730 215.3420725 196.6832362
#> 97  185.6699650 179.2944152  10.8787113   9.9584032 202.5994177 184.0305947
#> 98   23.7395986  20.1130489 173.1646790 154.4557440  40.2991983  21.8044139
#> 99  222.8246017 216.8242854  29.0065703  48.3416710 239.4903251 220.8234561
#> 100  31.3265587  24.4209323 165.7010563 146.6937322  48.7726231  31.3693141
#>              49          50          51          52          53          54
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
#> 27                                                                         
#> 28                                                                         
#> 29                                                                         
#> 30                                                                         
#> 31                                                                         
#> 32                                                                         
#> 33                                                                         
#> 34                                                                         
#> 35                                                                         
#> 36                                                                         
#> 37                                                                         
#> 38                                                                         
#> 39                                                                         
#> 40                                                                         
#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44                                                                         
#> 45                                                                         
#> 46                                                                         
#> 47                                                                         
#> 48                                                                         
#> 49                                                                         
#> 50   19.7729705                                                            
#> 51  168.7494143 161.8705382                                                
#> 52    7.4214764  23.4874227 176.1643958                                    
#> 53  189.6946178 181.3264657  24.7685248 197.0675449                        
#> 54  200.2358875 191.7964206  34.3909634 207.6075787  10.5446023            
#> 55  183.6120674 176.4997285  14.9268288 191.0244122  13.7443932  21.0564320
#> 56   14.5021042  13.2777286 155.6443096  21.3925699 176.1411540 186.6712239
#> 57  184.4248927 175.5818021  23.7753136 191.7723881   7.3591180  16.5876497
#> 58  197.7199205 192.3605420  33.1188932 205.1341102  32.3131719  32.5258548
#> 59   23.4677887   4.0291592 162.5235980  26.5816359 181.6167622 192.0573133
#> 60  188.9225262 180.0877534  26.9045592 196.2716173   4.9509741  12.2739134
#> 61   22.6118801   2.8432869 160.8963458  26.2579710 180.1144420 190.5660968
#> 62  183.2979612 174.9435433  19.6178197 190.6701695   6.3990497  16.9381189
#> 63   21.6681435  30.3447206 189.3125769  14.7346232 209.7110580 220.2328388
#> 64   25.2547339   7.0530490 165.2917046  27.4953291 184.1747429 194.5954282
#> 65  154.0006569 144.9535068  24.6208815 161.3258039  36.6422270  46.9690923
#> 66   17.3541154  17.2145784 178.3678666  14.6069703 198.1787207 208.6692923
#> 67   12.0140551   7.8469297 165.1920924  15.8353073 185.2483616 195.7566197
#> 68   11.6606846  24.4877785 180.0638773   4.6652733 200.7743869 211.3090908
#> 69   25.0158191  12.6121879 173.3083425  24.9815079 192.2497667 202.6725806
#> 70   16.1754081  13.9418087 175.1231092  14.9103172 194.8988115 205.3877833
#> 71   17.8138382  10.7909289 172.5272745  17.8480437 192.0898729 202.5645546
#> 72    6.1410279  20.2609455 162.9642262  13.4183447 184.0784316 194.6222500
#> 73   17.9519069   9.2676982 155.1139075  24.0509800 175.1599599 185.6697888
#> 74  187.0499104 179.5947942  18.8408320 194.4549057   9.5449266  16.3610381
#> 75  182.0318553 173.1411814  22.6388674 189.3759937   9.5574961  19.0485580
#> 76   22.3612919   8.9081231 153.1777238  28.0651738 172.8465700 183.3342718
#> 77  201.4478970 193.4194236  34.1049899 208.8368718  12.4708796   4.7151926
#> 78    7.8425392  20.5034182 175.6190940   3.5904591 196.2665542 206.7996248
#> 79  161.7756172 152.9718495  18.8605493 169.1186003  28.4831446  38.8587477
#> 80   23.7536067   4.9311940 163.8672302  26.4756664 182.9073448 193.3427589
#> 81  183.0919549 175.0682949  17.4864334 190.4780324   7.3226549  17.5002834
#> 82    7.2794486  13.3202478 163.6148629  13.4966010 184.1797712 194.7112765
#> 83  189.6738643 181.9305355  22.1148860 197.0708936   6.4293491  12.6000428
#> 84  178.4467905 170.1347989  16.0748139 185.8198424  11.2478275  21.7906412
#> 85   16.0673101   7.4521677 168.7740268  17.7209973 188.4475266 198.9311272
#> 86   22.7250084  20.3229974 182.1526635  19.3768444 201.6449580 212.1117335
#> 87  194.3287030 186.0302364  28.4628911 201.7056263   4.7308852   6.0372708
#> 88  185.0245624 177.5069423  17.0687535 192.4276217   9.6034378  17.6152104
#> 89  197.0143897 188.9527230  30.0161193 204.4014328   8.1463724   5.0921999
#> 90  177.9579190 170.2999216  11.3867493 185.3558026  13.4053893  23.3254426
#> 91   23.7037167   7.5853593 154.3166014  28.8984903 173.7411078 184.2112727
#> 92  164.5248899 157.3211481   5.2466599 171.9329744  26.9945903  37.1586631
#> 93    9.8325124  16.7487679 174.4757460   8.0306672 194.8026130 205.3230366
#> 94  178.7172264 171.2473187  11.1166350 186.1207036  13.8160611  23.2775580
#> 95  188.9275065 180.8441821  22.7284321 196.3123401   2.9989032  11.7642429
#> 96  191.4499081 184.2853861  22.7522766 198.8619908  12.5789985  15.7432047
#> 97  179.2182083 171.0478917  15.5289120 186.5976086  10.5782892  21.0914414
#> 98   19.1865192  12.0570321 152.5185080  25.7357319 172.6888635 183.2055849
#> 99  215.5212655 208.4699387  46.7753090 222.9370696  30.1430851  22.3104244
#> 100  30.5957933  16.2206463 145.8702894  36.5600943 165.1458927 175.6080564
#>              55          56          57          58          59          60
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
#> 27                                                                         
#> 28                                                                         
#> 29                                                                         
#> 30                                                                         
#> 31                                                                         
#> 32                                                                         
#> 33                                                                         
#> 34                                                                         
#> 35                                                                         
#> 36                                                                         
#> 37                                                                         
#> 38                                                                         
#> 39                                                                         
#> 40                                                                         
#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44                                                                         
#> 45                                                                         
#> 46                                                                         
#> 47                                                                         
#> 48                                                                         
#> 49                                                                         
#> 50                                                                         
#> 51                                                                         
#> 52                                                                         
#> 53                                                                         
#> 54                                                                         
#> 55                                                                         
#> 56  170.4469903                                                            
#> 57   17.2218662 170.7317531                                                
#> 58   23.0560411 185.2111527  38.4583015                                    
#> 59  177.0790069  17.0917276 175.7699536 193.2948133                        
#> 60   17.9130748 175.2358964   4.5079198  37.2641458 180.2717384            
#> 61  175.4768598  15.2425962 174.3042483 191.5814452   2.0749315 178.8078275
#> 62   12.2917069 169.7421103   5.0054208  34.1420626 175.2456956   7.2867609
#> 63  204.1134888  33.6682717 204.2230700 218.7679537  31.8749609 208.7298222
#> 64  179.8035409  20.3275944 178.2678966 196.2026206   3.5128195 182.7660117
#> 65   35.3162497 140.2183416  30.6293226  57.0311725 145.1450688  35.1344984
#> 66  193.0718904  23.9263650 192.5163338 208.4578463  18.2715741 197.0238751
#> 67  179.9317300  10.7216576 179.6796245 195.1317388  11.4537591 184.1874124
#> 68  194.9028484  24.6992923 195.4047866 209.2316810  27.0642616 199.9076932
#> 69  187.8384681  24.7532620 186.3475248 204.1363131  10.8525639 190.8457872
#> 70  189.8194245  21.0404365 189.2298913 205.2625840  15.1834442 193.7373601
#> 71  187.1832040  19.8526237 186.3611429 202.8672657  11.5656708 190.8674385
#> 72  177.8424312  10.9032622 178.8806689 191.7727672  24.2562013 183.3734774
#> 73  169.8467271   5.2884920 169.6034475 185.1308304  12.6452561 174.1110963
#> 74    4.7084873 173.7755431  14.3829921  24.2172581 180.0938442  14.1311434
#> 75   17.7594109 168.3233965   2.4671747  39.7019767 173.3216539   6.9504893
#> 76  167.8422483   9.8153428 167.1777153 183.5449787  11.0088650 171.6852817
#> 77   19.8013142 188.0069918  19.4477522  28.2583045 193.7722268  15.5409671
#> 78  190.4490115  20.1567488 190.8803302 204.8852936  23.3874653 195.3838605
#> 79   27.6290328 148.0683243  22.6640520  49.9205690 153.2052018  27.1697256
#> 80  178.4122554  18.1823238 177.0442622 194.6707774   1.4399063 181.5451318
#> 81    9.0098756 169.6345227   8.2762815  31.1731409 175.4457792   9.8702444
#> 82  178.4300512   8.0544528 178.7813976 193.0514294  17.2596479 183.2852405
#> 83    8.5296688 176.3101562  12.6181286  26.0269964 182.3619601  11.3300531
#> 84   13.0203945 164.8981777   7.7834340  35.9577160 170.4536725  11.5004464
#> 85  183.4486416  16.0460906 182.7564740 199.0397576   9.2890761 187.2636259
#> 86  196.8001793  28.7687343 195.8838341 212.5020974  20.3873028 200.3890694
#> 87   15.7475558 180.8001172  11.6515526  30.8984420 186.3304653   8.0021922
#> 88    4.1650012 171.7277482  13.3586609  25.7180438 177.9949236  13.7656963
#> 89   16.1686032 183.5593259  15.3372551  28.2679286 189.3033186  11.7731827
#> 90    7.9347411 164.6081534  13.0722843  30.8743487 170.7669097  15.6732316
#> 91  168.9345344  12.1988080 167.9992009 184.8787996   8.8055017 172.5053077
#> 92   19.1795710 151.3044505  24.5643831  38.3531704 157.9105510  28.2738509
#> 93  189.2614656  18.8806175 189.3086773 204.0906429  19.3171247 193.8154615
#> 94    6.1425361 165.4285194  14.4324086  28.9473095 171.7549615  16.6194402
#> 95   10.8416379 175.4580535   9.1666027  29.6213156 181.2001797   7.7733447
#> 96    7.8388789 178.2761244  18.8001222  19.7737249 184.8426304  17.5230892
#> 97   11.4189928 165.7123527   8.2790572  34.3432881 171.3978210  11.5238317
#> 98  167.2703733   5.0161702 167.1763228 182.4362694  15.2302062 171.6833178
#> 99   31.9819402 202.4087533  37.4090933  24.9783218 209.0243404  33.7160443
#> 100 160.4513744  16.8647131 159.3764045 176.6053173  16.6898698 163.8817705
#>              61          62          63          64          65          66
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
#> 27                                                                         
#> 28                                                                         
#> 29                                                                         
#> 30                                                                         
#> 31                                                                         
#> 32                                                                         
#> 33                                                                         
#> 34                                                                         
#> 35                                                                         
#> 36                                                                         
#> 37                                                                         
#> 38                                                                         
#> 39                                                                         
#> 40                                                                         
#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44                                                                         
#> 45                                                                         
#> 46                                                                         
#> 47                                                                         
#> 48                                                                         
#> 49                                                                         
#> 50                                                                         
#> 51                                                                         
#> 52                                                                         
#> 53                                                                         
#> 54                                                                         
#> 55                                                                         
#> 56                                                                         
#> 57                                                                         
#> 58                                                                         
#> 59                                                                         
#> 60                                                                         
#> 61                                                                         
#> 62  173.7387736                                                            
#> 63   32.5127419 203.3127234                                                
#> 64    5.5877377 177.8122408  31.0980943                                    
#> 65  143.6758566  30.3656261 173.6594069 147.6545795                        
#> 66   19.0954667 191.7883411  13.7237011  17.3753302 161.8977309            
#> 67   10.6867967 178.8528472  24.7169904  13.4123237 149.0878751  13.4100433
#> 68   27.0979514 194.3755627  10.1044190  27.3837976 164.9067937  12.1425612
#> 69   12.6681640 185.8861482  24.9516114   8.0802264 155.7334888  11.8048137
#> 70   15.8974894 188.5089778  16.6920816  14.5964168 158.6102837   3.2944527
#> 71   12.4527977 185.7050701  20.3679775  10.8473004 155.7337290   6.7063526
#> 72   22.9381335 177.6847321  27.8091239  26.7185536 148.5182104  22.4346863
#> 73   10.6456814 168.7640859  34.6904109  16.0771307 139.0180393  23.3270720
#> 74  178.5187638   9.9254380 207.4306265 182.7730214  36.9314936 196.2518616
#> 75  171.8586124   5.5888420 201.8050560 175.8155559  28.1877850 190.0821366
#> 76    8.9544036 166.4573266  37.6280010  14.4987746 136.5598154  25.3387314
#> 77  192.2483771  18.6474618 221.6197609 196.3644884  49.0130869 210.2127030
#> 78   23.2108237 189.8675777  14.0101739  24.1096094 160.3736232  11.1915612
#> 79  151.7214621  22.1853886 181.5607202 155.7370581   8.1875876 169.8814702
#> 80    3.4776719 176.5384429  31.1121225   2.1795350 146.4218153  17.4345532
#> 81  173.9122813   3.2909267 203.2452574 178.0564637  31.0974719 191.8466610
#> 82   16.0800845 177.7807286  25.7286416  19.6096027 148.2715391  17.2405379
#> 83  180.8101253   9.1014506 209.9472476 185.0021998  38.3482922 198.6546438
#> 84  168.9405089   4.8542166 198.4736115 173.0313131  25.7327170 186.9674191
#> 85    9.6222811 182.0595632  22.9279354   9.7745596 152.1335768   9.8156934
#> 86   21.6515176 195.2630235  14.2723109  18.5963608 165.2546218   5.4088550
#> 87  184.8248584  11.0867546 214.3802114 188.8932789  41.3731122 202.8723695
#> 88  176.4234818   8.5967169 205.3793686 180.6683206  34.7866249 194.1765648
#> 89  187.7800217  14.2048928 217.1680274 191.8952003  44.5662852 205.7496846
#> 90  169.2021924   8.4405204 198.2502134 173.4301160  27.6750935 186.9947583
#> 91    6.8542915 167.3581990  37.4704362  12.1988203 137.3712740  24.6777297
#> 92  156.3038412  21.1556674 184.9679331 160.6452966  19.5694179 173.8949246
#> 93   19.3370888 188.4044997  14.9145083  19.8011594 158.7452818   7.5533148
#> 94  170.1764892   9.5822645 199.0821762 174.4408679  29.2244359 187.9000332
#> 95  179.6745474   6.3905523 209.0632540 183.7969935  36.5811984 197.6395440
#> 96  183.2482341  14.8561826 211.9418259 187.5533534  42.2384720 200.8775729
#> 97  169.8737426   4.3858614 199.3059397 173.9934469  26.9018604 187.8529960
#> 98   13.1832406 166.2914521  37.0495877  18.7116670 136.6098267  26.0486183
#> 99  207.4320051  35.7423390 236.0766472 211.7291572  65.6172938 225.0535888
#> 100  15.0265444 158.7662268  46.0161227  19.6771968 128.7472807  33.3439087
#>              67          68          69          70          71          72
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
#> 23                                                                         
#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
#> 27                                                                         
#> 28                                                                         
#> 29                                                                         
#> 30                                                                         
#> 31                                                                         
#> 32                                                                         
#> 33                                                                         
#> 34                                                                         
#> 35                                                                         
#> 36                                                                         
#> 37                                                                         
#> 38                                                                         
#> 39                                                                         
#> 40                                                                         
#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44                                                                         
#> 45                                                                         
#> 46                                                                         
#> 47                                                                         
#> 48                                                                         
#> 49                                                                         
#> 50                                                                         
#> 51                                                                         
#> 52                                                                         
#> 53                                                                         
#> 54                                                                         
#> 55                                                                         
#> 56                                                                         
#> 57                                                                         
#> 58                                                                         
#> 59                                                                         
#> 60                                                                         
#> 61                                                                         
#> 62                                                                         
#> 63                                                                         
#> 64                                                                         
#> 65                                                                         
#> 66                                                                         
#> 67                                                                         
#> 68   17.4165499                                                            
#> 69   15.0910772  23.5463736                                                
#> 70   10.3804670  13.4280953  10.1696945                                    
#> 71    9.2443078  16.9068807   7.2837766   3.7491296                        
#> 72   13.4988206  17.7877189  28.2177751  20.6622820  21.4386270            
#> 73   10.0932533  26.6475791  21.6664100  20.1479178  18.0864999  15.5719106
#> 74  183.1630183 198.2895368 190.8232137 192.9904805 190.3055848 181.3180172
#> 75  177.2544406 192.9997260 183.8953221 186.7952165 183.9215138 176.4967064
#> 76   12.9939438  30.2636842  21.3740150  22.0540685  19.3528890  20.2523528
#> 77  197.2234660 212.5989336 204.4348162 206.9382014 204.1691674 195.7783615
#> 78   13.1210622   4.5627582  21.3921403  11.3258525  14.2768066  13.9287012
#> 79  157.0248993 172.7429478 163.8144499 166.5965899 163.7462345 156.2469560
#> 80   11.7808387  26.7107494   9.4656991  14.4397596  10.7455452  24.8855315
#> 81  178.8503900 194.2312969 186.1232933 188.5732376 185.8135115 177.4343183
#> 82    6.3932198  16.6460067  21.3308289  14.8500413  14.8906060   7.1287716
#> 83  185.6126435 200.8673338 193.0628049 195.3865491 192.6612525 183.9755372
#> 84  174.0218960 189.5286691 181.1036443 183.6890301 180.8933354 172.8316320
#> 85    5.6926662  17.8137371   9.4842131   6.5242441   3.9299486  18.7688721
#> 86   18.0721604  16.1654569  11.2609381   7.7456292   9.6368407  27.8401736
#> 87  189.9304386 205.4250992 196.9677641 199.5933900 196.7915023 188.6996926
#> 88  181.0967985 196.2526275 188.7201716 190.9138409 188.2214427 179.3015882
#> 89  192.7649898 208.1566066 199.9655441 202.4747767 199.7032433 191.3519838
#> 90  173.9349507 189.1574212 181.4847004 183.7293047 181.0215588 172.2573719
#> 91   13.2896573  30.7054118  19.5119350  21.3859426  18.3640512  22.1980439
#> 92  160.7618213 175.7871716 168.6759212 170.6416296 168.0036493 158.7802569
#> 93   10.0167934   7.7634593  16.9649429   7.0078451   9.8205641  15.2148856
#> 94  174.8108958 189.9485310 182.4888753 184.6388839 181.9562676 172.9929942
#> 95  184.6560019 200.0602658 191.8664187 194.3646538 191.5940071 183.2734448
#> 96  187.7468528 202.7378641 195.5934148 197.6231673 194.9759477 185.6812169
#> 97  174.8815522 190.3275348 182.0629518 184.5770535 181.7997830 173.5831203
#> 98   12.6979973  28.6526702  24.5358768  22.9075978  20.9503207  15.9183638
#> 99  211.9122675 226.8390759 219.7716045 221.8007062 219.1590760 209.7270958
#> 100  21.5045139  38.8139471  27.5332652  30.0512697  27.0114409  27.7605671
#>              73          74          75          76          77          78
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
#> 11                                                                         
#> 12                                                                         
#> 13                                                                         
#> 14                                                                         
#> 15                                                                         
#> 16                                                                         
#> 17                                                                         
#> 18                                                                         
#> 19                                                                         
#> 20                                                                         
#> 21                                                                         
#> 22                                                                         
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#> 24                                                                         
#> 25                                                                         
#> 26                                                                         
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#> 28                                                                         
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#> 33                                                                         
#> 34                                                                         
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#> 36                                                                         
#> 37                                                                         
#> 38                                                                         
#> 39                                                                         
#> 40                                                                         
#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44                                                                         
#> 45                                                                         
#> 46                                                                         
#> 47                                                                         
#> 48                                                                         
#> 49                                                                         
#> 50                                                                         
#> 51                                                                         
#> 52                                                                         
#> 53                                                                         
#> 54                                                                         
#> 55                                                                         
#> 56                                                                         
#> 57                                                                         
#> 58                                                                         
#> 59                                                                         
#> 60                                                                         
#> 61                                                                         
#> 62                                                                         
#> 63                                                                         
#> 64                                                                         
#> 65                                                                         
#> 66                                                                         
#> 67                                                                         
#> 68                                                                         
#> 69                                                                         
#> 70                                                                         
#> 71                                                                         
#> 72                                                                         
#> 73                                                                         
#> 74  173.0719921                                                            
#> 75  167.1798473  15.4888418                                                
#> 76    4.6841914 170.9817331 164.7437537                                    
#> 77  187.1309705  15.3464996  21.8261224 184.8940276                        
#> 78   22.1162226 193.8196121 188.4736080  25.8206968 208.1055520            
#> 79  146.9465925  28.9257763  20.2577900 144.5429294  40.8319997 168.2175860
#> 80   13.8976484 181.4158331 174.5948129  12.4305496 195.0720546  23.1923698
#> 81  168.7577355   7.0768440   8.7772614 166.5314521  18.3748394 189.7360407
#> 82   10.7330230 181.7773664 176.3738642  15.0841604 196.0334129  12.1024809
#> 83  175.5194967   3.8278197  14.2337633 173.3576179  12.0275872 196.3847124
#> 84  163.9323456  12.3732688   6.6007774 161.6385862  23.3534728 185.0217130
#> 85   14.1602674 186.5946922 180.3200813  15.6139617 200.5036340  14.3488191
#> 86   27.5861389 199.9096768 193.4413986  28.9863119 213.7420971  16.1734119
#> 87  179.8409383  11.0676233  14.0103561 177.5421434   7.8213073 200.9203269
#> 88  171.0051140   2.1512187  14.1786011 168.9008654  17.0367313 191.7795039
#> 89  182.6727114  11.5278698  17.6464477 180.4298610   4.4692894 203.6614020
#> 90  163.8422239   9.4167174  12.5553150 161.7081994  23.6375111 184.6769228
#> 91    6.9147203 172.0199024 165.5590322   2.8125583 185.8350334  26.3855629
#> 92  150.6754324  22.5542397  22.9724100 148.6627501  37.4353737 171.3252851
#> 93   19.8146089 192.5576629 186.8905629  23.0095266 206.7211930   4.4568384
#> 94  164.7198187   8.3522549  14.1536386 162.6312449  23.1912451 185.4766425
#> 95  174.5638334   6.5492955  10.9763983 172.3198437  12.5752495 195.5633000
#> 96  177.6604983   5.4151169  20.2580531 175.6383246  13.2198352 198.2826911
#> 97  164.7901234  10.8163169   7.5318786 162.5303978  22.3747080 185.8260174
#> 98    2.8993667 170.5228662 164.7572213   5.5528629 184.6304540  24.0925337
#> 99  201.8278422  29.0287818  39.6935807 199.8201940  18.2224328 222.3931504
#> 100  12.6457163 163.5004410 156.9343137   8.5506551 177.2602490  34.3691294
#>              79          80          81          82          83          84
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
#> 9                                                                          
#> 10                                                                         
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#> 12                                                                         
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#> 14                                                                         
#> 15                                                                         
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#> 36                                                                         
#> 37                                                                         
#> 38                                                                         
#> 39                                                                         
#> 40                                                                         
#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44                                                                         
#> 45                                                                         
#> 46                                                                         
#> 47                                                                         
#> 48                                                                         
#> 49                                                                         
#> 50                                                                         
#> 51                                                                         
#> 52                                                                         
#> 53                                                                         
#> 54                                                                         
#> 55                                                                         
#> 56                                                                         
#> 57                                                                         
#> 58                                                                         
#> 59                                                                         
#> 60                                                                         
#> 61                                                                         
#> 62                                                                         
#> 63                                                                         
#> 64                                                                         
#> 65                                                                         
#> 66                                                                         
#> 67                                                                         
#> 68                                                                         
#> 69                                                                         
#> 70                                                                         
#> 71                                                                         
#> 72                                                                         
#> 73                                                                         
#> 74                                                                         
#> 75                                                                         
#> 76                                                                         
#> 77                                                                         
#> 78                                                                         
#> 79                                                                         
#> 80  154.4882092                                                            
#> 81   22.9357382 176.7501354                                                
#> 82  156.1182829  17.8166173 177.6621391                                    
#> 83   30.2046854 183.6740728   7.2970355 184.3256558                        
#> 84   17.5465952 171.7492698   5.5673701 172.9358735  12.8415047            
#> 85  160.1290922   8.9018234 182.1423342  11.8468045 188.9713555 177.2428226
#> 86  173.2815984  19.2694509 195.3912855  22.4789196 202.2519789 190.4555265
#> 87   33.2131151 187.6224102  11.4636383 188.8363590   7.2477761  15.9086052
#> 88   26.7932965 179.3154215   5.4701960 179.7329704   5.0778514  10.4628978
#> 89   36.3822967 190.6029814  13.9253686 191.5873060   7.9212642  18.8882537
#> 90   19.8197119 172.0847074   6.1014412 172.6208986  11.7186050   6.2990743
#> 91  145.3876204  10.2453637 167.4846408  16.4636634 174.3499255 162.5495727
#> 92   14.5228441 159.2460035  19.7177452 159.2954205  25.4298926  16.8323500
#> 93  166.6464344  19.0094298 188.3464202  11.1733593 195.0598316 183.5662875
#> 94   21.4893039 173.0785161   6.7718324 173.4320114  11.1653489   8.1390957
#> 95   28.3939784 182.5010089   5.8438743 183.4874145   3.5958681  10.8507780
#> 96   34.2812961 186.1725741  12.3244938 186.2613738   6.2553434  17.7475950
#> 97   18.7340182 172.6981704   4.2061635 173.7454943  11.4985219   1.6145388
#> 98  144.5148545  16.5393032 166.2558356  12.2416823 172.9941552 161.4556443
#> 99   57.4728557 210.3531071  34.5427527 210.3847194  27.2697828  40.0213616
#> 100 136.7746663  18.0678439 158.9174888  23.3727799 165.8030307 153.9625320
#>              85          86          87          88          89          90
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
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#> 65                                                                         
#> 66                                                                         
#> 67                                                                         
#> 68                                                                         
#> 69                                                                         
#> 70                                                                         
#> 71                                                                         
#> 72                                                                         
#> 73                                                                         
#> 74                                                                         
#> 75                                                                         
#> 76                                                                         
#> 77                                                                         
#> 78                                                                         
#> 79                                                                         
#> 80                                                                         
#> 81                                                                         
#> 82                                                                         
#> 83                                                                         
#> 84                                                                         
#> 85                                                                         
#> 86   13.4814450                                                            
#> 87  193.1450077 206.3497681                                                
#> 88  184.5142951 197.8233359  11.9840824                                    
#> 89  196.0390519 209.2753047   3.7720318  12.9987534                        
#> 90  177.3221326 190.6188459  17.3130625   7.2755791  19.3131271            
#> 91   14.8620931  27.9070677 178.4448954 169.9309072 181.3682377 162.7218278
#> 92  164.2693789 177.6208197  31.1298022  20.5804336  33.1559052  13.8612187
#> 93   10.1099292  12.8962166 199.4734422 190.5028877 202.2682196 183.3662798
#> 94  178.2440270 191.5613452  17.3488013   6.3088982  18.9891810   1.9895794
#> 95  187.9291457 201.1668659   5.7541117   6.7536729   8.1101410  11.5629017
#> 96  191.2467503 204.5901071  12.0014962   7.5022794  10.6693032  14.5923075
#> 97  178.1385100 191.3703066  15.1207546   8.8736543  17.9063030   5.0376165
#> 98   17.0209329  30.4093625 177.3637915 168.4608971 180.1748494 161.3090152
#> 99  215.4277287 228.7739964  25.8018514  31.1628491  22.0738308  38.4380236
#> 100  23.5282915  36.5076849 169.8529115 161.4066576 172.7925120 154.1885367
#>              91          92          93          94          95          96
#> 2                                                                          
#> 3                                                                          
#> 4                                                                          
#> 5                                                                          
#> 6                                                                          
#> 7                                                                          
#> 8                                                                          
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#> 10                                                                         
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#> 41                                                                         
#> 42                                                                         
#> 43                                                                         
#> 44                                                                         
#> 45                                                                         
#> 46                                                                         
#> 47                                                                         
#> 48                                                                         
#> 49                                                                         
#> 50                                                                         
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#> 57                                                                         
#> 58                                                                         
#> 59                                                                         
#> 60                                                                         
#> 61                                                                         
#> 62                                                                         
#> 63                                                                         
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#> 65                                                                         
#> 66                                                                         
#> 67                                                                         
#> 68                                                                         
#> 69                                                                         
#> 70                                                                         
#> 71                                                                         
#> 72                                                                         
#> 73                                                                         
#> 74                                                                         
#> 75                                                                         
#> 76                                                                         
#> 77                                                                         
#> 78                                                                         
#> 79                                                                         
#> 80                                                                         
#> 81                                                                         
#> 82                                                                         
#> 83                                                                         
#> 84                                                                         
#> 85                                                                         
#> 86                                                                         
#> 87                                                                         
#> 88                                                                         
#> 89                                                                         
#> 90                                                                         
#> 91                                                                         
#> 92  149.7567349                                                            
#> 93   23.2006454 170.1083109                                                
#> 94  163.6731169  14.2888262 184.2079233                                    
#> 95  173.2598041  25.3971885 194.1625513  11.6254125                        
#> 96  176.7174035  26.9850697 197.0868929  13.2492390   9.8479137            
#> 97  163.4632660  16.7876848 184.4023497   6.7516810   9.8035754  16.2095004
#> 98    8.2967507 148.1044976  22.1357652 162.1712810 172.0674405 175.0887622
#> 99  200.9021533  51.1591515 221.2311596  37.3138824  29.3524675  24.1847851
#> 100   8.6678578 141.2778730  31.5184755 155.1570270 164.6855131 168.2240764
#>              97          98          99
#> 2                                      
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#> 91                                     
#> 92                                     
#> 93                                     
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#> 95                                     
#> 96                                     
#> 97                                     
#> 98  162.3008328                        
#> 99   38.7486019 199.2489959            
#> 100 154.8864074  11.8503276 192.4081475