# Single Linkage
A<-matrix(nrow=5,ncol=5)
A
## [,1] [,2] [,3] [,4] [,5]
## [1,] NA NA NA NA NA
## [2,] NA NA NA NA NA
## [3,] NA NA NA NA NA
## [4,] NA NA NA NA NA
## [5,] NA NA NA NA NA
A[lower.tri(A)]<-c(9,3,7,6,5,9,11,10,2,8)
A
## [,1] [,2] [,3] [,4] [,5]
## [1,] NA NA NA NA NA
## [2,] 9 NA NA NA NA
## [3,] 3 5 NA NA NA
## [4,] 7 9 10 NA NA
## [5,] 6 11 2 8 NA
diag(A)<-0
A
## [,1] [,2] [,3] [,4] [,5]
## [1,] 0 NA NA NA NA
## [2,] 9 0 NA NA NA
## [3,] 3 5 0 NA NA
## [4,] 7 9 10 0 NA
## [5,] 6 11 2 8 0
#Distance Calculate
A<-as.dist(A,diag=T)
A
## 1 2 3 4 5
## 1 0
## 2 9 0
## 3 3 5 0
## 4 7 9 10 0
## 5 6 11 2 8 0
#single
hclust1<-hclust(A,method="single")
hclust1
##
## Call:
## hclust(d = A, method = "single")
##
## Cluster method : single
## Number of objects: 5
#Plot dendogram
plot(hclust1)
#Complete
hclust2<-hclust(A,method="complete")
hclust2
##
## Call:
## hclust(d = A, method = "complete")
##
## Cluster method : complete
## Number of objects: 5
plot(hclust2)
#Average
hclust3<-hclust(A,method='average')
hclust3
##
## Call:
## hclust(d = A, method = "average")
##
## Cluster method : average
## Number of objects: 5
plot(hclust3)
B=matrix(c(12,32,6,11,75,35,40,34,7,13,73,30,35.5,5,12,76,50,42,6,14.5,77,12.8,39,8,14,78,13.2,38.5,7,16,74),nrow=6,ncol=5,byrow=TRUE)
## Warning in matrix(c(12, 32, 6, 11, 75, 35, 40, 34, 7, 13, 73, 30, 35.5, : data
## length [31] is not a sub-multiple or multiple of the number of rows [6]
B
## [,1] [,2] [,3] [,4] [,5]
## [1,] 12 32.0 6.0 11 75.0
## [2,] 35 40.0 34.0 7 13.0
## [3,] 73 30.0 35.5 5 12.0
## [4,] 76 50.0 42.0 6 14.5
## [5,] 77 12.8 39.0 8 14.0
## [6,] 78 13.2 38.5 7 16.0
Bdistance<-dist(B,method="euclidean")
Bdistance
## 1 2 3 4 5
## 2 72.367120
## 3 92.737533 39.385911
## 4 96.960043 42.991278 21.412613
## 5 97.018761 50.307455 18.360011 37.391042
## 6 96.242870 50.955765 18.336848 37.063999 2.531798
#Single
hclust4<-hclust(Bdistance,method="single")
hclust4
##
## Call:
## hclust(d = Bdistance, method = "single")
##
## Cluster method : single
## Distance : euclidean
## Number of objects: 6
plot(hclust4)
#Average
hclust5<-hclust(Bdistance,method="average")
hclust5
##
## Call:
## hclust(d = Bdistance, method = "average")
##
## Cluster method : average
## Distance : euclidean
## Number of objects: 6
plot(hclust5)
#Complete
hclust6<-hclust(Bdistance,method="complete")
hclust6
##
## Call:
## hclust(d = Bdistance, method = "complete")
##
## Cluster method : complete
## Distance : euclidean
## Number of objects: 6
plot(hclust6)
USArrests
## Murder Assault UrbanPop Rape
## Alabama 13.2 236 58 21.2
## Alaska 10.0 263 48 44.5
## Arizona 8.1 294 80 31.0
## Arkansas 8.8 190 50 19.5
## California 9.0 276 91 40.6
## Colorado 7.9 204 78 38.7
## Connecticut 3.3 110 77 11.1
## Delaware 5.9 238 72 15.8
## Florida 15.4 335 80 31.9
## Georgia 17.4 211 60 25.8
## Hawaii 5.3 46 83 20.2
## Idaho 2.6 120 54 14.2
## Illinois 10.4 249 83 24.0
## Indiana 7.2 113 65 21.0
## Iowa 2.2 56 57 11.3
## Kansas 6.0 115 66 18.0
## Kentucky 9.7 109 52 16.3
## Louisiana 15.4 249 66 22.2
## Maine 2.1 83 51 7.8
## Maryland 11.3 300 67 27.8
## Massachusetts 4.4 149 85 16.3
## Michigan 12.1 255 74 35.1
## Minnesota 2.7 72 66 14.9
## Mississippi 16.1 259 44 17.1
## Missouri 9.0 178 70 28.2
## Montana 6.0 109 53 16.4
## Nebraska 4.3 102 62 16.5
## Nevada 12.2 252 81 46.0
## New Hampshire 2.1 57 56 9.5
## New Jersey 7.4 159 89 18.8
## New Mexico 11.4 285 70 32.1
## New York 11.1 254 86 26.1
## North Carolina 13.0 337 45 16.1
## North Dakota 0.8 45 44 7.3
## Ohio 7.3 120 75 21.4
## Oklahoma 6.6 151 68 20.0
## Oregon 4.9 159 67 29.3
## Pennsylvania 6.3 106 72 14.9
## Rhode Island 3.4 174 87 8.3
## South Carolina 14.4 279 48 22.5
## South Dakota 3.8 86 45 12.8
## Tennessee 13.2 188 59 26.9
## Texas 12.7 201 80 25.5
## Utah 3.2 120 80 22.9
## Vermont 2.2 48 32 11.2
## Virginia 8.5 156 63 20.7
## Washington 4.0 145 73 26.2
## West Virginia 5.7 81 39 9.3
## Wisconsin 2.6 53 66 10.8
## Wyoming 6.8 161 60 15.6
#when get a data first we need to clean data
#we need to scale the data
data1=na.omit(USArrests) # to remove null values : step 1
data1
## Murder Assault UrbanPop Rape
## Alabama 13.2 236 58 21.2
## Alaska 10.0 263 48 44.5
## Arizona 8.1 294 80 31.0
## Arkansas 8.8 190 50 19.5
## California 9.0 276 91 40.6
## Colorado 7.9 204 78 38.7
## Connecticut 3.3 110 77 11.1
## Delaware 5.9 238 72 15.8
## Florida 15.4 335 80 31.9
## Georgia 17.4 211 60 25.8
## Hawaii 5.3 46 83 20.2
## Idaho 2.6 120 54 14.2
## Illinois 10.4 249 83 24.0
## Indiana 7.2 113 65 21.0
## Iowa 2.2 56 57 11.3
## Kansas 6.0 115 66 18.0
## Kentucky 9.7 109 52 16.3
## Louisiana 15.4 249 66 22.2
## Maine 2.1 83 51 7.8
## Maryland 11.3 300 67 27.8
## Massachusetts 4.4 149 85 16.3
## Michigan 12.1 255 74 35.1
## Minnesota 2.7 72 66 14.9
## Mississippi 16.1 259 44 17.1
## Missouri 9.0 178 70 28.2
## Montana 6.0 109 53 16.4
## Nebraska 4.3 102 62 16.5
## Nevada 12.2 252 81 46.0
## New Hampshire 2.1 57 56 9.5
## New Jersey 7.4 159 89 18.8
## New Mexico 11.4 285 70 32.1
## New York 11.1 254 86 26.1
## North Carolina 13.0 337 45 16.1
## North Dakota 0.8 45 44 7.3
## Ohio 7.3 120 75 21.4
## Oklahoma 6.6 151 68 20.0
## Oregon 4.9 159 67 29.3
## Pennsylvania 6.3 106 72 14.9
## Rhode Island 3.4 174 87 8.3
## South Carolina 14.4 279 48 22.5
## South Dakota 3.8 86 45 12.8
## Tennessee 13.2 188 59 26.9
## Texas 12.7 201 80 25.5
## Utah 3.2 120 80 22.9
## Vermont 2.2 48 32 11.2
## Virginia 8.5 156 63 20.7
## Washington 4.0 145 73 26.2
## West Virginia 5.7 81 39 9.3
## Wisconsin 2.6 53 66 10.8
## Wyoming 6.8 161 60 15.6
# standardise the data using scaleing
data2=scale(data1)
data2
## Murder Assault UrbanPop Rape
## Alabama 1.24256408 0.78283935 -0.52090661 -0.003416473
## Alaska 0.50786248 1.10682252 -1.21176419 2.484202941
## Arizona 0.07163341 1.47880321 0.99898006 1.042878388
## Arkansas 0.23234938 0.23086801 -1.07359268 -0.184916602
## California 0.27826823 1.26281442 1.75892340 2.067820292
## Colorado 0.02571456 0.39885929 0.86080854 1.864967207
## Connecticut -1.03041900 -0.72908214 0.79172279 -1.081740768
## Delaware -0.43347395 0.80683810 0.44629400 -0.579946294
## Florida 1.74767144 1.97077766 0.99898006 1.138966691
## Georgia 2.20685994 0.48285493 -0.38273510 0.487701523
## Hawaii -0.57123050 -1.49704226 1.20623733 -0.110181255
## Idaho -1.19113497 -0.60908837 -0.79724965 -0.750769945
## Illinois 0.59970018 0.93883125 1.20623733 0.295524916
## Indiana -0.13500142 -0.69308401 -0.03730631 -0.024769429
## Iowa -1.28297267 -1.37704849 -0.58999237 -1.060387812
## Kansas -0.41051452 -0.66908525 0.03177945 -0.345063775
## Kentucky 0.43898421 -0.74108152 -0.93542116 -0.526563903
## Louisiana 1.74767144 0.93883125 0.03177945 0.103348309
## Maine -1.30593210 -1.05306531 -1.00450692 -1.434064548
## Maryland 0.80633501 1.55079947 0.10086521 0.701231086
## Massachusetts -0.77786532 -0.26110644 1.34440885 -0.526563903
## Michigan 0.99001041 1.01082751 0.58446551 1.480613993
## Minnesota -1.16817555 -1.18505846 0.03177945 -0.676034598
## Mississippi 1.90838741 1.05882502 -1.48810723 -0.441152078
## Missouri 0.27826823 0.08687549 0.30812248 0.743936999
## Montana -0.41051452 -0.74108152 -0.86633540 -0.515887425
## Nebraska -0.80082475 -0.82507715 -0.24456358 -0.505210947
## Nevada 1.01296983 0.97482938 1.06806582 2.644350114
## New Hampshire -1.30593210 -1.36504911 -0.65907813 -1.252564419
## New Jersey -0.08908257 -0.14111267 1.62075188 -0.259651949
## New Mexico 0.82929443 1.37080881 0.30812248 1.160319648
## New York 0.76041616 0.99882813 1.41349461 0.519730957
## North Carolina 1.19664523 1.99477641 -1.41902147 -0.547916860
## North Dakota -1.60440462 -1.50904164 -1.48810723 -1.487446939
## Ohio -0.11204199 -0.60908837 0.65355127 0.017936483
## Oklahoma -0.27275797 -0.23710769 0.16995096 -0.131534211
## Oregon -0.66306820 -0.14111267 0.10086521 0.861378259
## Pennsylvania -0.34163624 -0.77707965 0.44629400 -0.676034598
## Rhode Island -1.00745957 0.03887798 1.48258036 -1.380682157
## South Carolina 1.51807718 1.29881255 -1.21176419 0.135377743
## South Dakota -0.91562187 -1.01706718 -1.41902147 -0.900240639
## Tennessee 1.24256408 0.20686926 -0.45182086 0.605142783
## Texas 1.12776696 0.36286116 0.99898006 0.455672088
## Utah -1.05337842 -0.60908837 0.99898006 0.178083656
## Vermont -1.28297267 -1.47304350 -2.31713632 -1.071064290
## Virginia 0.16347111 -0.17711080 -0.17547783 -0.056798864
## Washington -0.86970302 -0.30910395 0.51537975 0.530407436
## West Virginia -0.47939280 -1.07706407 -1.83353601 -1.273917376
## Wisconsin -1.19113497 -1.41304662 0.03177945 -1.113770203
## Wyoming -0.22683912 -0.11711392 -0.38273510 -0.601299251
## attr(,"scaled:center")
## Murder Assault UrbanPop Rape
## 7.788 170.760 65.540 21.232
## attr(,"scaled:scale")
## Murder Assault UrbanPop Rape
## 4.355510 83.337661 14.474763 9.366385
USdistance<-dist(data2,method="euclidean")
USdistance
## Alabama Alaska Arizona Arkansas California Colorado
## Alaska 2.7037541
## Arizona 2.2935197 2.7006429
## Arkansas 1.2898102 2.8260386 2.7177583
## California 3.2631104 3.0125415 1.3104842 3.7636409
## Colorado 2.6510673 2.3265187 1.3650307 2.8310512 1.2876185
## Connecticut 3.2152975 4.7399125 3.2628575 2.6076395 4.0663898 3.3279920
## Delaware 2.0192927 3.6213633 1.9093696 1.8003239 3.0737852 2.5547456
## Florida 2.2981353 2.9967642 1.7493928 3.3721968 2.0250039 2.4458600
## Georgia 1.1314351 2.8194388 2.7871963 2.2117614 3.3780585 2.8649105
## Hawaii 3.3885300 4.5301340 3.2621208 2.9723097 3.6589083 2.8233524
## Idaho 2.9146623 4.0580555 3.5210071 1.7687255 4.4879436 3.4767685
## Illinois 1.8734993 3.2670626 1.0825512 2.4626424 1.9117469 1.7898322
## Indiana 2.0761411 3.3655952 2.6407486 1.4450503 3.4061273 2.3655622
## Iowa 3.4878952 4.7251910 4.1157513 2.4252661 4.9708591 3.9406898
## Kansas 2.2941096 3.6808173 2.7762838 1.5718411 3.6071725 2.6272281
## Kentucky 1.8475879 3.5440903 3.3567681 1.0598104 4.2463809 3.2274013
## Louisiana 0.7722224 2.9631431 2.2178519 2.0254276 3.0176625 2.6546743
## Maine 3.4851115 4.8322605 4.2961903 2.3621893 5.2699843 4.2713441
## Maryland 1.2896460 2.2777590 1.2117356 2.0582244 2.2312581 1.9667562
## Massachusetts 2.9874810 4.3729925 2.5162281 2.6881270 3.2156499 2.6522793
## Michigan 1.8814771 2.1154937 1.1940906 2.5895050 1.5146739 1.2363108
## Minnesota 3.2314338 4.4266606 3.5388450 2.3300992 4.3123134 3.3283853
## Mississippi 1.2831907 3.2554326 3.4551406 1.9318631 4.4200736 3.8491042
## Missouri 1.6309686 2.5360573 1.5958731 1.6717500 2.2891751 1.3127406
## Montana 2.3317271 3.6575988 3.3270869 1.2290066 4.2494176 3.1845338
## Nebraska 2.6625170 3.9136902 3.1641791 1.7240495 4.0197242 3.0034613
## Nevada 3.1024305 2.3443182 1.9260292 3.7086787 1.1968261 1.3988595
## New Hampshire 3.5619825 4.8650686 4.2430411 2.4949861 5.1270892 4.1126287
## New Jersey 2.6980230 4.1791832 2.1755787 2.7398478 2.7463023 2.3229870
## New Mexico 1.5993970 2.0580889 1.0376848 2.3183196 1.8010201 1.5467439
## New York 2.0723680 3.2903769 1.0725219 2.7478626 1.6787069 1.7363385
## North Carolina 1.6043662 3.2403071 3.1478947 2.0717938 4.2802569 3.8649275
## North Dakota 4.0614988 5.2110254 4.9319844 2.8756492 5.8660699 4.8014019
## Ohio 2.2698519 3.5903348 2.3585705 1.9617104 3.0133425 2.1188236
## Oklahoma 1.9570874 3.3416664 2.2648377 1.4224574 3.1488712 2.2263966
## Oregon 2.3705678 2.6990696 2.0008664 1.8477626 2.6574019 1.5331980
## Pennsylvania 2.5161340 4.1239537 2.9188907 1.9739986 3.7144562 2.8541709
## Rhode Island 3.3951297 5.0629572 3.0570151 3.0883430 3.8883995 3.4810739
## South Carolina 0.9157968 2.5640542 2.7992041 1.7074195 3.7546959 3.2131137
## South Dakota 3.0835587 4.2467198 4.1020099 1.8724822 5.0529153 3.9667318
## Tennessee 0.8407489 2.3362541 2.2989846 1.4254486 3.0119267 2.1972111
## Texas 1.6463225 3.1527905 1.6448574 2.3505545 2.1698156 1.7947199
## Utah 3.0906007 3.9480881 2.5244431 2.6049855 3.0701663 2.2461228
## Vermont 3.9791527 4.8707876 5.1003665 2.7442984 6.0323504 4.8924735
## Virginia 1.4859733 3.0492081 2.3106550 0.9971035 3.2159723 2.2622539
## Washington 2.6481824 3.2715253 2.1399117 2.1313402 2.7746720 1.7897920
## West Virginia 3.1243471 4.5004558 4.4974190 1.9951691 5.4883565 4.4210375
## Wisconsin 3.5047330 4.8711543 3.9425867 2.6102451 4.7354960 3.7846917
## Wyoming 1.8291027 3.4993456 2.6923028 0.9912639 3.7242766 2.8211492
## Connecticut Delaware Florida Georgia Hawaii Idaho
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware 1.7568475
## Florida 4.4700701 3.0614170
## Georgia 3.9738227 2.9838715 2.1812958
## Hawaii 1.3843291 2.4748807 4.3596338 3.8105218
## Idaho 1.6354214 2.0382540 4.6999827 3.8005715 2.3658101
## Illinois 2.7400560 1.5584719 1.7711863 2.3135778 2.7329756 3.2728945
## Indiana 1.6147898 1.6973340 3.6150778 2.6924143 1.5460727 1.4923351
## Iowa 1.5470089 2.6068606 5.2682765 4.2517889 2.1564575 0.8584962
## Kansas 1.2280424 1.5510864 3.8424558 3.0071474 1.4648766 1.2103118
## Kentucky 2.3346386 2.2514939 3.9474983 2.4408198 2.5203345 1.6565236
## Louisiana 3.5329409 2.3266996 1.7529677 0.8592544 3.5687157 3.5283772
## Maine 1.8792141 2.6560808 5.3946798 4.3334217 2.7160558 0.8486112
## Maryland 3.4968269 1.9624834 1.4355204 1.8388691 3.6148670 3.4014584
## Massachusetts 0.9468199 1.4382527 3.7753087 3.6706708 1.3276676 2.2201020
## Michigan 3.7037870 2.5165292 1.3357020 1.9185489 3.4123472 3.7775301
## Minnesota 0.9843793 2.1652930 4.7635252 3.9621842 1.4673850 1.0124936
## Mississippi 4.1762631 3.0510628 3.0886673 1.5828594 4.4777223 3.6002946
## Missouri 2.4383227 1.6723281 2.5182466 2.1021909 2.1832480 2.4697182
## Montana 1.8584328 2.0306850 4.2696476 3.0967288 2.2488801 0.8286936
## Nebraska 1.2116949 1.8113430 4.3082894 3.4295510 1.6628657 0.7515014
## Nevada 4.5868149 3.5920897 1.9500388 2.9023041 4.0281974 4.7300228
## New Hampshire 1.6169000 2.6744233 5.3778074 4.3427351 2.3112009 0.9249563
## New Jersey 1.6108823 1.5808719 3.1900596 3.1989350 1.5050500 2.7425260
## New Mexico 3.6233659 2.2271650 1.2965798 1.9015384 3.5506088 3.5883476
## New York 3.0239174 1.8992106 1.5730970 2.3634498 2.9055803 3.5910319
## North Carolina 4.1894604 2.7475286 2.9994188 2.3351307 4.7330517 3.5929592
## North Dakota 2.5099838 3.3615239 6.0356613 4.8596758 3.1974906 1.4144557
## Ohio 1.4443671 1.5838515 3.3897305 2.8043208 1.1494313 1.9647327
## Oklahoma 1.4510623 1.1802929 3.3553471 2.7121515 1.6585736 1.5168111
## Oregon 2.1756954 1.7742778 3.3399718 2.9998878 2.0031861 1.9757247
## Pennsylvania 0.8721491 1.5894850 3.9389869 3.1817981 1.2119256 1.5171866
## Rhode Island 1.0756115 1.6230495 4.2314871 4.1832075 2.0590981 2.4592705
## South Carolina 4.0127954 2.7039667 2.5295912 1.3970074 4.2531214 3.4549959
## South Dakota 2.2397424 2.6722813 5.1015141 3.8729745 2.8044891 0.8070290
## Tennessee 3.2302375 2.3195070 2.3992285 1.0122252 3.0747375 2.9234395
## Texas 2.8734475 2.0031365 1.8537984 1.7575559 2.5901696 3.3172180
## Utah 1.2825907 1.8080931 3.9274528 3.7183994 1.0709720 2.0268663
## Vermont 3.2066152 3.7144653 6.0766416 4.7091538 3.7208347 1.7797462
## Virginia 1.9277004 1.4088230 3.1515587 2.2249559 2.0479238 1.6999289
## Washington 1.6963486 1.6350170 3.5570666 3.3016469 1.5452901 1.8861921
## West Virginia 2.7117590 3.0381601 5.3004067 3.8545331 3.2831874 1.4398440
## Wisconsin 1.0354597 2.4410507 5.1085370 4.2281611 1.6666970 1.2105401
## Wyoming 1.6218573 1.2586225 3.6325811 2.7329062 2.1883414 1.1687896
## Illinois Indiana Iowa Kansas Kentucky Louisiana
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware
## Florida
## Georgia
## Hawaii
## Idaho
## Illinois
## Indiana 2.2027081
## Iowa 3.7380070 1.7786548
## Kansas 2.3228505 0.4287712 1.4699265
## Kentucky 2.8478883 1.1790552 1.9426473 1.3020180
## Louisiana 1.6535178 2.4957547 4.0359614 2.7284126 2.4221964
## Maine 3.9342034 2.1029158 0.6457158 1.7913753 1.9925855 4.0901924
## Maryland 1.3429997 2.5430878 4.0642448 2.7400943 2.8229479 1.2739137
## Massachusetts 2.0080982 1.6615695 2.3510287 1.4343401 2.6284451 3.1524549
## Michigan 1.3959090 2.6118471 4.3248636 2.9020920 3.1163494 1.6677999
## Minnesota 3.1558788 1.3184866 0.7644384 0.9745872 1.9333640 3.6905974
## Mississippi 3.0869477 3.0859068 4.1603272 3.2683740 2.3898884 1.6268879
## Missouri 1.3552973 1.2203931 2.9398546 1.5192717 1.9677184 1.8362172
## Montana 2.9659043 1.0033431 1.2403561 0.9170466 0.8523702 2.9444756
## Nebraska 2.7962196 0.8570429 0.9821819 0.5279092 1.4219429 3.1706333
## Nevada 2.3891753 3.5278633 5.2227312 3.8391728 4.1644286 2.8410670
## New Hampshire 3.8490624 1.9278736 0.2058539 1.6084091 2.0093558 4.1168122
## New Jersey 1.4562775 1.7638332 2.9122979 1.7071034 2.6914828 2.6826380
## New Mexico 1.3393276 2.5909993 4.2131394 2.8356373 3.0007332 1.4911656
## New York 0.3502188 2.4628527 4.0411586 2.6096016 3.1213366 1.7495096
## North Carolina 3.0124311 3.3437548 4.2973973 3.4387635 2.8798080 1.9868618
## North Dakota 4.6139615 2.6587932 1.0534375 2.3970805 2.4482563 4.6977846
## Ohio 1.8124981 0.6976320 2.1610242 0.7817000 1.7726720 2.4996969
## Oklahoma 1.8439860 0.5303259 1.9391446 0.5198728 1.4623483 2.3535566
## Oregon 2.0743434 1.1780815 2.4662295 1.3426890 2.1388677 2.7490592
## Pennsylvania 2.3134187 0.8412900 1.5708895 0.5456840 1.5944097 2.8440845
## Rhode Island 2.5057761 2.3335609 2.5453686 2.0087021 3.0457816 3.5648047
## South Carolina 2.6163680 2.8469842 4.1015324 3.0609333 2.4166385 1.3151908
## South Dakota 3.8004708 1.8411735 0.9886706 1.6701106 1.5114990 3.7457555
## Tennessee 1.9478353 1.8100316 3.4176329 2.1533060 1.7489942 1.1298534
## Texas 0.8241352 2.0035762 3.6962443 2.2378289 2.5297839 1.3325285
## Utah 2.2771632 1.4019666 2.1682069 1.2751603 2.5461745 3.3440990
## Vermont 4.8624402 2.8667983 1.7298425 2.7298377 2.3888326 4.6795933
## Virginia 1.8624960 0.6127246 2.1704984 0.8351949 1.0918624 1.9554079
## Washington 2.0612962 1.1405746 2.2502832 1.1579118 2.2630242 2.9705622
## West Virginia 4.1148082 2.2478563 1.5256890 2.1244674 1.5236299 3.7947215
## Wisconsin 3.4790637 1.6806129 0.6318069 1.3242947 2.0950212 3.9559184
## Wyoming 2.2643574 0.8898783 1.7194683 0.7588728 1.0694408 2.3837077
## Maine Maryland Massachusetts Michigan Minnesota
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware
## Florida
## Georgia
## Hawaii
## Idaho
## Illinois
## Indiana
## Iowa
## Kansas
## Kentucky
## Louisiana
## Maine
## Maryland 4.1259083
## Massachusetts 2.6920282 2.9743193
## Michigan 4.5333420 1.0800988 3.0576915
## Minnesota 1.2980362 3.6448929 1.6587245 3.7995101
## Mississippi 4.0014591 2.2992240 4.1217248 2.9722824 4.1067600
## Missouri 3.2055955 1.5705755 1.9810531 1.4068840 2.4088795
## Montana 1.3271199 3.0249456 2.2919046 3.3348908 1.2662635
## Nebraska 1.3218907 3.1309065 1.6863806 3.3478988 0.6083415
## Nevada 5.5153139 2.2551337 3.8556049 1.2609417 4.6391114
## New Hampshire 0.4995971 4.1663744 2.4573524 4.4646172 0.9279247
## New Jersey 3.2532459 2.6263456 0.7977642 2.5678440 2.2254151
## New Mexico 4.3460538 0.5353893 3.0274701 0.5782474 3.7377675
## New York 4.2595904 1.4362170 2.2479437 1.2897453 3.4391596
## North Carolina 4.0631653 2.0542355 4.0773401 3.0232021 4.2219622
## North Dakota 0.7305609 4.7423030 3.3446903 5.1171939 1.8065731
## Ohio 2.5455752 2.5061694 1.1567960 2.4459855 1.5216293
## Oklahoma 2.1929825 2.2492942 1.3383233 2.4336743 1.4198434
## Oregon 2.7813372 2.2466329 1.8709252 2.1626274 1.9270100
## Pennsylvania 1.9197571 2.9585539 1.1337883 3.1048542 1.0106613
## Rhode Island 2.7331079 3.4379146 0.9440940 3.7320501 2.0310592
## South Carolina 4.0015575 1.6165582 3.8310425 2.3233363 3.9484630
## South Dakota 0.7812991 3.7991896 2.8925136 4.1744724 1.4990317
## Tennessee 3.5420469 1.5202431 2.9678843 1.5970196 3.1023238
## Texas 3.9386296 1.5431868 2.2593978 1.2888621 3.1438264
## Utah 2.6218087 3.0338001 0.9015809 2.9441421 1.4177147
## Vermont 1.4253680 4.7430576 3.9277625 5.1250778 2.4019924
## Virginia 2.3474650 2.0124420 1.8503795 2.2439957 1.7932233
## Washington 2.6292546 2.5434911 1.3472994 2.4715215 1.5955418
## West Virginia 1.1818120 4.0251562 3.3782752 4.4668346 2.0791705
## Wisconsin 1.1485830 4.0091486 1.8882704 4.2034334 0.4940832
## Wyoming 1.7665064 2.4041294 1.8201580 2.8324573 1.4845967
## Mississippi Missouri Montana Nebraska Nevada
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware
## Florida
## Georgia
## Hawaii
## Idaho
## Illinois
## Indiana
## Iowa
## Kansas
## Kentucky
## Louisiana
## Maine
## Maryland
## Massachusetts
## Michigan
## Minnesota
## Mississippi
## Missouri 2.8692946
## Montana 3.0015255 2.0313649
## Nebraska 3.5269565 1.9651798 0.7389936
## Nevada 4.1064793 2.3489003 4.3243112 4.2628916
## New Hampshire 4.1895936 3.0885710 1.3329504 1.1300720 5.3871427
## New Jersey 3.8894324 1.7079555 2.5912431 2.1246377 3.3464214
## New Mexico 2.6557350 1.4579057 3.1915871 3.2494088 1.7234839
## New York 3.2655822 1.5284764 3.2662661 3.0925340 2.1674148
## North Carolina 1.1826891 3.0224849 3.2209267 3.6500186 4.1773437
## North Dakota 4.4753078 3.7811273 1.8291157 1.9038740 6.0519445
## Ohio 3.4148987 1.1327425 1.6436336 1.2654510 3.2930712
## Oklahoma 3.0466140 1.0927654 1.2225315 0.9674809 3.4108696
## Oregon 3.5033774 0.9974171 1.8044622 1.5727910 2.8581280
## Pennsylvania 3.4971746 1.7793568 1.3246445 0.8483058 4.0392694
## Rhode Island 4.3875001 2.7475003 2.6888576 2.1303973 4.6185330
## South Carolina 0.7865674 2.3846001 2.9024302 3.3517226 3.4427701
## South Dakota 3.5355186 2.8862448 0.8857149 1.2591419 5.1416772
## Tennessee 1.8269569 1.2413874 2.2494023 2.5526834 2.6666268
## Texas 2.8431727 1.1654171 2.8298991 2.7568751 2.2765693
## Utah 4.2571173 1.7478909 2.0956369 1.4573012 3.5868975
## Vermont 4.2046660 3.8803394 1.9261350 2.2952287 6.0437845
## Virginia 2.5383053 0.9787310 1.1556682 1.2472262 3.3001850
## Washington 3.8140404 1.2502752 1.8442691 1.3859985 3.1570805
## West Virginia 3.3281129 3.2538044 1.2758193 1.8117833 5.4963193
## Wisconsin 4.2987974 2.8171535 1.4916365 0.9719877 5.0751736
## Wyoming 2.6813279 1.6073860 0.8150071 0.9268202 3.9202716
## New Hampshire New Jersey New Mexico New York North Carolina
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware
## Florida
## Georgia
## Hawaii
## Idaho
## Illinois
## Indiana
## Iowa
## Kansas
## Kentucky
## Louisiana
## Maine
## Maryland
## Massachusetts
## Michigan
## Minnesota
## Mississippi
## Missouri
## Montana
## Nebraska
## Nevada
## New Hampshire
## New Jersey 3.0269198
## New Mexico 4.3360809 2.6208087
## New York 4.1586415 1.6344744 1.3324096
## North Carolina 4.3157112 3.9418824 2.5348334 3.2163998
## North Dakota 0.9231894 3.9166205 4.9450519 4.9325292 4.5836787
## Ohio 2.3095495 1.1099823 2.4960904 2.0434995 3.6205693
## Oklahoma 2.0697098 1.4711183 2.3426252 2.1367108 3.1366639
## Oregon 2.6377191 1.9738854 2.1553130 2.2727718 3.5095191
## Pennsylvania 1.6822035 1.4216058 3.0619915 2.5949374 3.6803956
## Rhode Island 2.5813199 1.4668378 3.6032966 2.7682543 4.2185789
## South Carolina 4.1596914 3.5826726 1.9596343 2.7755634 1.0476313
## South Dakota 0.9874611 3.3318222 3.9969513 4.1124693 3.6955387
## Tennessee 3.5298430 2.6339707 1.5528304 2.0847931 2.3374653
## Texas 3.8178258 1.6226525 1.4418241 0.8457697 3.0857436
## Utah 2.3304873 1.3141843 2.9843796 2.4826984 4.2680823
## Vermont 1.6716127 4.4005416 4.9416825 5.1704762 4.3880034
## Virginia 2.2878085 1.8255601 2.1341562 2.1439207 2.7517523
## Washington 2.4214987 1.5759539 2.4796057 2.2747965 3.8055684
## West Virginia 1.4648924 3.7402121 4.2681325 4.4279608 3.5978058
## Wisconsin 0.7155628 2.4671212 4.1327758 3.7687073 4.4429456
## Wyoming 1.7950754 2.0372127 2.6286722 2.5890441 2.7501141
## North Dakota Ohio Oklahoma Oregon Pennsylvania
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware
## Florida
## Georgia
## Hawaii
## Idaho
## Illinois
## Indiana
## Iowa
## Kansas
## Kentucky
## Louisiana
## Maine
## Maryland
## Massachusetts
## Michigan
## Minnesota
## Mississippi
## Missouri
## Montana
## Nebraska
## Nevada
## New Hampshire
## New Jersey
## New Mexico
## New York
## North Carolina
## North Dakota
## Ohio 3.1448279
## Oklahoma 2.8246690 0.6483903
## Oregon 3.2862071 1.2407607 1.0734082
## Pennsylvania 2.5555137 0.7781298 0.8180221 1.7293732
## Rhode Island 3.4042300 1.9659747 1.9746699 2.6621371 1.6369255
## South Carolina 4.5104172 3.1289884 2.7470931 3.0134453 3.3429642
## South Dakota 1.0324944 2.4394250 2.0340486 2.4988870 1.9790714
## Tennessee 4.0623149 2.0167804 1.8500296 2.0306758 2.4343114
## Texas 4.5749422 1.6711510 1.8312655 2.1053000 2.2460705
## Utah 3.1738212 1.0154223 1.2372916 1.2825152 1.2529078
## Vermont 0.9824857 3.4825859 3.1010306 3.4262789 3.0270572
## Virginia 2.9443461 0.9774388 0.5646254 1.2664430 1.1769236
## Washington 3.1725909 0.9725013 0.9586525 0.5935343 1.3993323
## West Virginia 1.2716808 2.8650371 2.4631736 3.0349855 2.3799278
## Wisconsin 1.6216339 1.8649801 1.7916829 2.4088700 1.2204658
## Wyoming 2.4170757 1.3086480 0.7366465 1.6013015 1.0684605
## Rhode Island South Carolina South Dakota Tennessee Texas
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware
## Florida
## Georgia
## Hawaii
## Idaho
## Illinois
## Indiana
## Iowa
## Kansas
## Kentucky
## Louisiana
## Maine
## Maryland
## Massachusetts
## Michigan
## Minnesota
## Mississippi
## Missouri
## Montana
## Nebraska
## Nevada
## New Hampshire
## New Jersey
## New Mexico
## New York
## North Carolina
## North Dakota
## Ohio
## Oklahoma
## Oregon
## Pennsylvania
## Rhode Island
## South Carolina 4.1861320
## South Dakota 3.1262712 3.5215978
## Tennessee 3.5743861 1.4375120 3.0589938
## Texas 2.8757996 2.4532276 3.7101039 1.4712840
## Utah 1.7565845 3.8912317 2.6823382 2.8678113 2.4039834
## Vermont 4.1104165 4.2668977 1.0856574 3.9356721 4.7444455
## Virginia 2.4330133 2.2636538 2.0316897 1.3514491 1.6921625
## Washington 2.1743525 3.3802314 2.5083824 2.3809584 2.1635337
## West Virginia 3.5400858 3.4651680 0.7108812 3.1707450 3.9586581
## Wisconsin 2.0779526 4.2190973 1.5437375 3.4257189 3.4539515
## Wyoming 2.1726807 2.5059056 1.5644785 1.9298669 2.2564704
## Utah Vermont Virginia Washington West Virginia Wisconsin
## Alaska
## Arizona
## Arkansas
## California
## Colorado
## Connecticut
## Delaware
## Florida
## Georgia
## Hawaii
## Idaho
## Illinois
## Indiana
## Iowa
## Kansas
## Kentucky
## Louisiana
## Maine
## Maryland
## Massachusetts
## Michigan
## Minnesota
## Mississippi
## Missouri
## Montana
## Nebraska
## Nevada
## New Hampshire
## New Jersey
## New Mexico
## New York
## North Carolina
## North Dakota
## Ohio
## Oklahoma
## Oregon
## Pennsylvania
## Rhode Island
## South Carolina
## South Dakota
## Tennessee
## Texas
## Utah
## Vermont 3.6546040
## Virginia 1.7612066 3.0638337
## Washington 0.6940667 3.4804319 1.3809295
## West Virginia 3.2680139 1.0380554 2.3353210 3.0846553
## Wisconsin 1.8082282 2.3518637 2.1266497 2.0637823 2.0308890
## Wyoming 1.8552036 2.6299335 0.7038309 1.5929546 1.8821600 1.7446366
bclust1<-hclust(USdistance,method='single') #Single
bclust1
##
## Call:
## hclust(d = USdistance, method = "single")
##
## Cluster method : single
## Distance : euclidean
## Number of objects: 50
plot(bclust1,col='green')
bclust2<-hclust(USdistance,method='complete') #Complete
bclust2
##
## Call:
## hclust(d = USdistance, method = "complete")
##
## Cluster method : complete
## Distance : euclidean
## Number of objects: 50
plot(bclust2,col='blue')
bclust3<-hclust(USdistance,method='average') #Average
bclust3
##
## Call:
## hclust(d = USdistance, method = "average")
##
## Cluster method : average
## Distance : euclidean
## Number of objects: 50
plot(bclust3,col='brown')
# aggolomerative : Single ,Complete, Average
#Non Heirachial : KMeans
kdata<-kmeans(data2,6)
kdata
## K-means clustering with 6 clusters of sizes 1, 13, 7, 11, 11, 7
##
## Cluster means:
## Murder Assault UrbanPop Rape
## 1 0.5078625 1.1068225 -1.21176419 2.48420294
## 2 -0.2162425 -0.2611064 -0.04793489 -0.06172647
## 3 1.5803956 0.9662584 -0.77751086 0.04844071
## 4 -1.1034717 -1.1654231 -0.99194587 -1.04874074
## 5 0.7499801 1.1199128 0.93617482 1.21564322
## 6 -0.6958674 -0.5679476 1.12728218 -0.55096728
##
## Clustering vector:
## Alabama Alaska Arizona Arkansas California
## 3 1 5 2 5
## Colorado Connecticut Delaware Florida Georgia
## 5 6 2 5 3
## Hawaii Idaho Illinois Indiana Iowa
## 6 4 5 2 4
## Kansas Kentucky Louisiana Maine Maryland
## 2 2 3 4 5
## Massachusetts Michigan Minnesota Mississippi Missouri
## 6 5 4 3 2
## Montana Nebraska Nevada New Hampshire New Jersey
## 4 2 5 4 6
## New Mexico New York North Carolina North Dakota Ohio
## 5 5 3 4 2
## Oklahoma Oregon Pennsylvania Rhode Island South Carolina
## 2 2 6 6 3
## South Dakota Tennessee Texas Utah Vermont
## 4 3 5 6 4
## Virginia Washington West Virginia Wisconsin Wyoming
## 2 2 4 4 2
##
## Within cluster sum of squares by cluster:
## [1] 0.000000 10.860162 6.128432 8.499862 12.499127 5.244931
## (between_SS / total_SS = 77.9 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"
# Clustering Analysis for Iris Data
iris
## Sepal.Length Sepal.Width Petal.Length Petal.Width Species
## 1 5.1 3.5 1.4 0.2 setosa
## 2 4.9 3.0 1.4 0.2 setosa
## 3 4.7 3.2 1.3 0.2 setosa
## 4 4.6 3.1 1.5 0.2 setosa
## 5 5.0 3.6 1.4 0.2 setosa
## 6 5.4 3.9 1.7 0.4 setosa
## 7 4.6 3.4 1.4 0.3 setosa
## 8 5.0 3.4 1.5 0.2 setosa
## 9 4.4 2.9 1.4 0.2 setosa
## 10 4.9 3.1 1.5 0.1 setosa
## 11 5.4 3.7 1.5 0.2 setosa
## 12 4.8 3.4 1.6 0.2 setosa
## 13 4.8 3.0 1.4 0.1 setosa
## 14 4.3 3.0 1.1 0.1 setosa
## 15 5.8 4.0 1.2 0.2 setosa
## 16 5.7 4.4 1.5 0.4 setosa
## 17 5.4 3.9 1.3 0.4 setosa
## 18 5.1 3.5 1.4 0.3 setosa
## 19 5.7 3.8 1.7 0.3 setosa
## 20 5.1 3.8 1.5 0.3 setosa
## 21 5.4 3.4 1.7 0.2 setosa
## 22 5.1 3.7 1.5 0.4 setosa
## 23 4.6 3.6 1.0 0.2 setosa
## 24 5.1 3.3 1.7 0.5 setosa
## 25 4.8 3.4 1.9 0.2 setosa
## 26 5.0 3.0 1.6 0.2 setosa
## 27 5.0 3.4 1.6 0.4 setosa
## 28 5.2 3.5 1.5 0.2 setosa
## 29 5.2 3.4 1.4 0.2 setosa
## 30 4.7 3.2 1.6 0.2 setosa
## 31 4.8 3.1 1.6 0.2 setosa
## 32 5.4 3.4 1.5 0.4 setosa
## 33 5.2 4.1 1.5 0.1 setosa
## 34 5.5 4.2 1.4 0.2 setosa
## 35 4.9 3.1 1.5 0.2 setosa
## 36 5.0 3.2 1.2 0.2 setosa
## 37 5.5 3.5 1.3 0.2 setosa
## 38 4.9 3.6 1.4 0.1 setosa
## 39 4.4 3.0 1.3 0.2 setosa
## 40 5.1 3.4 1.5 0.2 setosa
## 41 5.0 3.5 1.3 0.3 setosa
## 42 4.5 2.3 1.3 0.3 setosa
## 43 4.4 3.2 1.3 0.2 setosa
## 44 5.0 3.5 1.6 0.6 setosa
## 45 5.1 3.8 1.9 0.4 setosa
## 46 4.8 3.0 1.4 0.3 setosa
## 47 5.1 3.8 1.6 0.2 setosa
## 48 4.6 3.2 1.4 0.2 setosa
## 49 5.3 3.7 1.5 0.2 setosa
## 50 5.0 3.3 1.4 0.2 setosa
## 51 7.0 3.2 4.7 1.4 versicolor
## 52 6.4 3.2 4.5 1.5 versicolor
## 53 6.9 3.1 4.9 1.5 versicolor
## 54 5.5 2.3 4.0 1.3 versicolor
## 55 6.5 2.8 4.6 1.5 versicolor
## 56 5.7 2.8 4.5 1.3 versicolor
## 57 6.3 3.3 4.7 1.6 versicolor
## 58 4.9 2.4 3.3 1.0 versicolor
## 59 6.6 2.9 4.6 1.3 versicolor
## 60 5.2 2.7 3.9 1.4 versicolor
## 61 5.0 2.0 3.5 1.0 versicolor
## 62 5.9 3.0 4.2 1.5 versicolor
## 63 6.0 2.2 4.0 1.0 versicolor
## 64 6.1 2.9 4.7 1.4 versicolor
## 65 5.6 2.9 3.6 1.3 versicolor
## 66 6.7 3.1 4.4 1.4 versicolor
## 67 5.6 3.0 4.5 1.5 versicolor
## 68 5.8 2.7 4.1 1.0 versicolor
## 69 6.2 2.2 4.5 1.5 versicolor
## 70 5.6 2.5 3.9 1.1 versicolor
## 71 5.9 3.2 4.8 1.8 versicolor
## 72 6.1 2.8 4.0 1.3 versicolor
## 73 6.3 2.5 4.9 1.5 versicolor
## 74 6.1 2.8 4.7 1.2 versicolor
## 75 6.4 2.9 4.3 1.3 versicolor
## 76 6.6 3.0 4.4 1.4 versicolor
## 77 6.8 2.8 4.8 1.4 versicolor
## 78 6.7 3.0 5.0 1.7 versicolor
## 79 6.0 2.9 4.5 1.5 versicolor
## 80 5.7 2.6 3.5 1.0 versicolor
## 81 5.5 2.4 3.8 1.1 versicolor
## 82 5.5 2.4 3.7 1.0 versicolor
## 83 5.8 2.7 3.9 1.2 versicolor
## 84 6.0 2.7 5.1 1.6 versicolor
## 85 5.4 3.0 4.5 1.5 versicolor
## 86 6.0 3.4 4.5 1.6 versicolor
## 87 6.7 3.1 4.7 1.5 versicolor
## 88 6.3 2.3 4.4 1.3 versicolor
## 89 5.6 3.0 4.1 1.3 versicolor
## 90 5.5 2.5 4.0 1.3 versicolor
## 91 5.5 2.6 4.4 1.2 versicolor
## 92 6.1 3.0 4.6 1.4 versicolor
## 93 5.8 2.6 4.0 1.2 versicolor
## 94 5.0 2.3 3.3 1.0 versicolor
## 95 5.6 2.7 4.2 1.3 versicolor
## 96 5.7 3.0 4.2 1.2 versicolor
## 97 5.7 2.9 4.2 1.3 versicolor
## 98 6.2 2.9 4.3 1.3 versicolor
## 99 5.1 2.5 3.0 1.1 versicolor
## 100 5.7 2.8 4.1 1.3 versicolor
## 101 6.3 3.3 6.0 2.5 virginica
## 102 5.8 2.7 5.1 1.9 virginica
## 103 7.1 3.0 5.9 2.1 virginica
## 104 6.3 2.9 5.6 1.8 virginica
## 105 6.5 3.0 5.8 2.2 virginica
## 106 7.6 3.0 6.6 2.1 virginica
## 107 4.9 2.5 4.5 1.7 virginica
## 108 7.3 2.9 6.3 1.8 virginica
## 109 6.7 2.5 5.8 1.8 virginica
## 110 7.2 3.6 6.1 2.5 virginica
## 111 6.5 3.2 5.1 2.0 virginica
## 112 6.4 2.7 5.3 1.9 virginica
## 113 6.8 3.0 5.5 2.1 virginica
## 114 5.7 2.5 5.0 2.0 virginica
## 115 5.8 2.8 5.1 2.4 virginica
## 116 6.4 3.2 5.3 2.3 virginica
## 117 6.5 3.0 5.5 1.8 virginica
## 118 7.7 3.8 6.7 2.2 virginica
## 119 7.7 2.6 6.9 2.3 virginica
## 120 6.0 2.2 5.0 1.5 virginica
## 121 6.9 3.2 5.7 2.3 virginica
## 122 5.6 2.8 4.9 2.0 virginica
## 123 7.7 2.8 6.7 2.0 virginica
## 124 6.3 2.7 4.9 1.8 virginica
## 125 6.7 3.3 5.7 2.1 virginica
## 126 7.2 3.2 6.0 1.8 virginica
## 127 6.2 2.8 4.8 1.8 virginica
## 128 6.1 3.0 4.9 1.8 virginica
## 129 6.4 2.8 5.6 2.1 virginica
## 130 7.2 3.0 5.8 1.6 virginica
## 131 7.4 2.8 6.1 1.9 virginica
## 132 7.9 3.8 6.4 2.0 virginica
## 133 6.4 2.8 5.6 2.2 virginica
## 134 6.3 2.8 5.1 1.5 virginica
## 135 6.1 2.6 5.6 1.4 virginica
## 136 7.7 3.0 6.1 2.3 virginica
## 137 6.3 3.4 5.6 2.4 virginica
## 138 6.4 3.1 5.5 1.8 virginica
## 139 6.0 3.0 4.8 1.8 virginica
## 140 6.9 3.1 5.4 2.1 virginica
## 141 6.7 3.1 5.6 2.4 virginica
## 142 6.9 3.1 5.1 2.3 virginica
## 143 5.8 2.7 5.1 1.9 virginica
## 144 6.8 3.2 5.9 2.3 virginica
## 145 6.7 3.3 5.7 2.5 virginica
## 146 6.7 3.0 5.2 2.3 virginica
## 147 6.3 2.5 5.0 1.9 virginica
## 148 6.5 3.0 5.2 2.0 virginica
## 149 6.2 3.4 5.4 2.3 virginica
## 150 5.9 3.0 5.1 1.8 virginica
# Scale the data
iris_data<-na.omit(iris) # Checking the missing values
iris_data
## Sepal.Length Sepal.Width Petal.Length Petal.Width Species
## 1 5.1 3.5 1.4 0.2 setosa
## 2 4.9 3.0 1.4 0.2 setosa
## 3 4.7 3.2 1.3 0.2 setosa
## 4 4.6 3.1 1.5 0.2 setosa
## 5 5.0 3.6 1.4 0.2 setosa
## 6 5.4 3.9 1.7 0.4 setosa
## 7 4.6 3.4 1.4 0.3 setosa
## 8 5.0 3.4 1.5 0.2 setosa
## 9 4.4 2.9 1.4 0.2 setosa
## 10 4.9 3.1 1.5 0.1 setosa
## 11 5.4 3.7 1.5 0.2 setosa
## 12 4.8 3.4 1.6 0.2 setosa
## 13 4.8 3.0 1.4 0.1 setosa
## 14 4.3 3.0 1.1 0.1 setosa
## 15 5.8 4.0 1.2 0.2 setosa
## 16 5.7 4.4 1.5 0.4 setosa
## 17 5.4 3.9 1.3 0.4 setosa
## 18 5.1 3.5 1.4 0.3 setosa
## 19 5.7 3.8 1.7 0.3 setosa
## 20 5.1 3.8 1.5 0.3 setosa
## 21 5.4 3.4 1.7 0.2 setosa
## 22 5.1 3.7 1.5 0.4 setosa
## 23 4.6 3.6 1.0 0.2 setosa
## 24 5.1 3.3 1.7 0.5 setosa
## 25 4.8 3.4 1.9 0.2 setosa
## 26 5.0 3.0 1.6 0.2 setosa
## 27 5.0 3.4 1.6 0.4 setosa
## 28 5.2 3.5 1.5 0.2 setosa
## 29 5.2 3.4 1.4 0.2 setosa
## 30 4.7 3.2 1.6 0.2 setosa
## 31 4.8 3.1 1.6 0.2 setosa
## 32 5.4 3.4 1.5 0.4 setosa
## 33 5.2 4.1 1.5 0.1 setosa
## 34 5.5 4.2 1.4 0.2 setosa
## 35 4.9 3.1 1.5 0.2 setosa
## 36 5.0 3.2 1.2 0.2 setosa
## 37 5.5 3.5 1.3 0.2 setosa
## 38 4.9 3.6 1.4 0.1 setosa
## 39 4.4 3.0 1.3 0.2 setosa
## 40 5.1 3.4 1.5 0.2 setosa
## 41 5.0 3.5 1.3 0.3 setosa
## 42 4.5 2.3 1.3 0.3 setosa
## 43 4.4 3.2 1.3 0.2 setosa
## 44 5.0 3.5 1.6 0.6 setosa
## 45 5.1 3.8 1.9 0.4 setosa
## 46 4.8 3.0 1.4 0.3 setosa
## 47 5.1 3.8 1.6 0.2 setosa
## 48 4.6 3.2 1.4 0.2 setosa
## 49 5.3 3.7 1.5 0.2 setosa
## 50 5.0 3.3 1.4 0.2 setosa
## 51 7.0 3.2 4.7 1.4 versicolor
## 52 6.4 3.2 4.5 1.5 versicolor
## 53 6.9 3.1 4.9 1.5 versicolor
## 54 5.5 2.3 4.0 1.3 versicolor
## 55 6.5 2.8 4.6 1.5 versicolor
## 56 5.7 2.8 4.5 1.3 versicolor
## 57 6.3 3.3 4.7 1.6 versicolor
## 58 4.9 2.4 3.3 1.0 versicolor
## 59 6.6 2.9 4.6 1.3 versicolor
## 60 5.2 2.7 3.9 1.4 versicolor
## 61 5.0 2.0 3.5 1.0 versicolor
## 62 5.9 3.0 4.2 1.5 versicolor
## 63 6.0 2.2 4.0 1.0 versicolor
## 64 6.1 2.9 4.7 1.4 versicolor
## 65 5.6 2.9 3.6 1.3 versicolor
## 66 6.7 3.1 4.4 1.4 versicolor
## 67 5.6 3.0 4.5 1.5 versicolor
## 68 5.8 2.7 4.1 1.0 versicolor
## 69 6.2 2.2 4.5 1.5 versicolor
## 70 5.6 2.5 3.9 1.1 versicolor
## 71 5.9 3.2 4.8 1.8 versicolor
## 72 6.1 2.8 4.0 1.3 versicolor
## 73 6.3 2.5 4.9 1.5 versicolor
## 74 6.1 2.8 4.7 1.2 versicolor
## 75 6.4 2.9 4.3 1.3 versicolor
## 76 6.6 3.0 4.4 1.4 versicolor
## 77 6.8 2.8 4.8 1.4 versicolor
## 78 6.7 3.0 5.0 1.7 versicolor
## 79 6.0 2.9 4.5 1.5 versicolor
## 80 5.7 2.6 3.5 1.0 versicolor
## 81 5.5 2.4 3.8 1.1 versicolor
## 82 5.5 2.4 3.7 1.0 versicolor
## 83 5.8 2.7 3.9 1.2 versicolor
## 84 6.0 2.7 5.1 1.6 versicolor
## 85 5.4 3.0 4.5 1.5 versicolor
## 86 6.0 3.4 4.5 1.6 versicolor
## 87 6.7 3.1 4.7 1.5 versicolor
## 88 6.3 2.3 4.4 1.3 versicolor
## 89 5.6 3.0 4.1 1.3 versicolor
## 90 5.5 2.5 4.0 1.3 versicolor
## 91 5.5 2.6 4.4 1.2 versicolor
## 92 6.1 3.0 4.6 1.4 versicolor
## 93 5.8 2.6 4.0 1.2 versicolor
## 94 5.0 2.3 3.3 1.0 versicolor
## 95 5.6 2.7 4.2 1.3 versicolor
## 96 5.7 3.0 4.2 1.2 versicolor
## 97 5.7 2.9 4.2 1.3 versicolor
## 98 6.2 2.9 4.3 1.3 versicolor
## 99 5.1 2.5 3.0 1.1 versicolor
## 100 5.7 2.8 4.1 1.3 versicolor
## 101 6.3 3.3 6.0 2.5 virginica
## 102 5.8 2.7 5.1 1.9 virginica
## 103 7.1 3.0 5.9 2.1 virginica
## 104 6.3 2.9 5.6 1.8 virginica
## 105 6.5 3.0 5.8 2.2 virginica
## 106 7.6 3.0 6.6 2.1 virginica
## 107 4.9 2.5 4.5 1.7 virginica
## 108 7.3 2.9 6.3 1.8 virginica
## 109 6.7 2.5 5.8 1.8 virginica
## 110 7.2 3.6 6.1 2.5 virginica
## 111 6.5 3.2 5.1 2.0 virginica
## 112 6.4 2.7 5.3 1.9 virginica
## 113 6.8 3.0 5.5 2.1 virginica
## 114 5.7 2.5 5.0 2.0 virginica
## 115 5.8 2.8 5.1 2.4 virginica
## 116 6.4 3.2 5.3 2.3 virginica
## 117 6.5 3.0 5.5 1.8 virginica
## 118 7.7 3.8 6.7 2.2 virginica
## 119 7.7 2.6 6.9 2.3 virginica
## 120 6.0 2.2 5.0 1.5 virginica
## 121 6.9 3.2 5.7 2.3 virginica
## 122 5.6 2.8 4.9 2.0 virginica
## 123 7.7 2.8 6.7 2.0 virginica
## 124 6.3 2.7 4.9 1.8 virginica
## 125 6.7 3.3 5.7 2.1 virginica
## 126 7.2 3.2 6.0 1.8 virginica
## 127 6.2 2.8 4.8 1.8 virginica
## 128 6.1 3.0 4.9 1.8 virginica
## 129 6.4 2.8 5.6 2.1 virginica
## 130 7.2 3.0 5.8 1.6 virginica
## 131 7.4 2.8 6.1 1.9 virginica
## 132 7.9 3.8 6.4 2.0 virginica
## 133 6.4 2.8 5.6 2.2 virginica
## 134 6.3 2.8 5.1 1.5 virginica
## 135 6.1 2.6 5.6 1.4 virginica
## 136 7.7 3.0 6.1 2.3 virginica
## 137 6.3 3.4 5.6 2.4 virginica
## 138 6.4 3.1 5.5 1.8 virginica
## 139 6.0 3.0 4.8 1.8 virginica
## 140 6.9 3.1 5.4 2.1 virginica
## 141 6.7 3.1 5.6 2.4 virginica
## 142 6.9 3.1 5.1 2.3 virginica
## 143 5.8 2.7 5.1 1.9 virginica
## 144 6.8 3.2 5.9 2.3 virginica
## 145 6.7 3.3 5.7 2.5 virginica
## 146 6.7 3.0 5.2 2.3 virginica
## 147 6.3 2.5 5.0 1.9 virginica
## 148 6.5 3.0 5.2 2.0 virginica
## 149 6.2 3.4 5.4 2.3 virginica
## 150 5.9 3.0 5.1 1.8 virginica
summary(iris_data)
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## Min. :4.300 Min. :2.000 Min. :1.000 Min. :0.100
## 1st Qu.:5.100 1st Qu.:2.800 1st Qu.:1.600 1st Qu.:0.300
## Median :5.800 Median :3.000 Median :4.350 Median :1.300
## Mean :5.843 Mean :3.057 Mean :3.758 Mean :1.199
## 3rd Qu.:6.400 3rd Qu.:3.300 3rd Qu.:5.100 3rd Qu.:1.800
## Max. :7.900 Max. :4.400 Max. :6.900 Max. :2.500
## Species
## setosa :50
## versicolor:50
## virginica :50
##
##
##
library(dplyr)
##
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
##
## filter, lag
## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, union
#Selecting the columns
iris_selected<-iris_data%>%select(Sepal.Length , Sepal.Width ,Petal.Length , Petal.Width)
iris_selected
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 1 5.1 3.5 1.4 0.2
## 2 4.9 3.0 1.4 0.2
## 3 4.7 3.2 1.3 0.2
## 4 4.6 3.1 1.5 0.2
## 5 5.0 3.6 1.4 0.2
## 6 5.4 3.9 1.7 0.4
## 7 4.6 3.4 1.4 0.3
## 8 5.0 3.4 1.5 0.2
## 9 4.4 2.9 1.4 0.2
## 10 4.9 3.1 1.5 0.1
## 11 5.4 3.7 1.5 0.2
## 12 4.8 3.4 1.6 0.2
## 13 4.8 3.0 1.4 0.1
## 14 4.3 3.0 1.1 0.1
## 15 5.8 4.0 1.2 0.2
## 16 5.7 4.4 1.5 0.4
## 17 5.4 3.9 1.3 0.4
## 18 5.1 3.5 1.4 0.3
## 19 5.7 3.8 1.7 0.3
## 20 5.1 3.8 1.5 0.3
## 21 5.4 3.4 1.7 0.2
## 22 5.1 3.7 1.5 0.4
## 23 4.6 3.6 1.0 0.2
## 24 5.1 3.3 1.7 0.5
## 25 4.8 3.4 1.9 0.2
## 26 5.0 3.0 1.6 0.2
## 27 5.0 3.4 1.6 0.4
## 28 5.2 3.5 1.5 0.2
## 29 5.2 3.4 1.4 0.2
## 30 4.7 3.2 1.6 0.2
## 31 4.8 3.1 1.6 0.2
## 32 5.4 3.4 1.5 0.4
## 33 5.2 4.1 1.5 0.1
## 34 5.5 4.2 1.4 0.2
## 35 4.9 3.1 1.5 0.2
## 36 5.0 3.2 1.2 0.2
## 37 5.5 3.5 1.3 0.2
## 38 4.9 3.6 1.4 0.1
## 39 4.4 3.0 1.3 0.2
## 40 5.1 3.4 1.5 0.2
## 41 5.0 3.5 1.3 0.3
## 42 4.5 2.3 1.3 0.3
## 43 4.4 3.2 1.3 0.2
## 44 5.0 3.5 1.6 0.6
## 45 5.1 3.8 1.9 0.4
## 46 4.8 3.0 1.4 0.3
## 47 5.1 3.8 1.6 0.2
## 48 4.6 3.2 1.4 0.2
## 49 5.3 3.7 1.5 0.2
## 50 5.0 3.3 1.4 0.2
## 51 7.0 3.2 4.7 1.4
## 52 6.4 3.2 4.5 1.5
## 53 6.9 3.1 4.9 1.5
## 54 5.5 2.3 4.0 1.3
## 55 6.5 2.8 4.6 1.5
## 56 5.7 2.8 4.5 1.3
## 57 6.3 3.3 4.7 1.6
## 58 4.9 2.4 3.3 1.0
## 59 6.6 2.9 4.6 1.3
## 60 5.2 2.7 3.9 1.4
## 61 5.0 2.0 3.5 1.0
## 62 5.9 3.0 4.2 1.5
## 63 6.0 2.2 4.0 1.0
## 64 6.1 2.9 4.7 1.4
## 65 5.6 2.9 3.6 1.3
## 66 6.7 3.1 4.4 1.4
## 67 5.6 3.0 4.5 1.5
## 68 5.8 2.7 4.1 1.0
## 69 6.2 2.2 4.5 1.5
## 70 5.6 2.5 3.9 1.1
## 71 5.9 3.2 4.8 1.8
## 72 6.1 2.8 4.0 1.3
## 73 6.3 2.5 4.9 1.5
## 74 6.1 2.8 4.7 1.2
## 75 6.4 2.9 4.3 1.3
## 76 6.6 3.0 4.4 1.4
## 77 6.8 2.8 4.8 1.4
## 78 6.7 3.0 5.0 1.7
## 79 6.0 2.9 4.5 1.5
## 80 5.7 2.6 3.5 1.0
## 81 5.5 2.4 3.8 1.1
## 82 5.5 2.4 3.7 1.0
## 83 5.8 2.7 3.9 1.2
## 84 6.0 2.7 5.1 1.6
## 85 5.4 3.0 4.5 1.5
## 86 6.0 3.4 4.5 1.6
## 87 6.7 3.1 4.7 1.5
## 88 6.3 2.3 4.4 1.3
## 89 5.6 3.0 4.1 1.3
## 90 5.5 2.5 4.0 1.3
## 91 5.5 2.6 4.4 1.2
## 92 6.1 3.0 4.6 1.4
## 93 5.8 2.6 4.0 1.2
## 94 5.0 2.3 3.3 1.0
## 95 5.6 2.7 4.2 1.3
## 96 5.7 3.0 4.2 1.2
## 97 5.7 2.9 4.2 1.3
## 98 6.2 2.9 4.3 1.3
## 99 5.1 2.5 3.0 1.1
## 100 5.7 2.8 4.1 1.3
## 101 6.3 3.3 6.0 2.5
## 102 5.8 2.7 5.1 1.9
## 103 7.1 3.0 5.9 2.1
## 104 6.3 2.9 5.6 1.8
## 105 6.5 3.0 5.8 2.2
## 106 7.6 3.0 6.6 2.1
## 107 4.9 2.5 4.5 1.7
## 108 7.3 2.9 6.3 1.8
## 109 6.7 2.5 5.8 1.8
## 110 7.2 3.6 6.1 2.5
## 111 6.5 3.2 5.1 2.0
## 112 6.4 2.7 5.3 1.9
## 113 6.8 3.0 5.5 2.1
## 114 5.7 2.5 5.0 2.0
## 115 5.8 2.8 5.1 2.4
## 116 6.4 3.2 5.3 2.3
## 117 6.5 3.0 5.5 1.8
## 118 7.7 3.8 6.7 2.2
## 119 7.7 2.6 6.9 2.3
## 120 6.0 2.2 5.0 1.5
## 121 6.9 3.2 5.7 2.3
## 122 5.6 2.8 4.9 2.0
## 123 7.7 2.8 6.7 2.0
## 124 6.3 2.7 4.9 1.8
## 125 6.7 3.3 5.7 2.1
## 126 7.2 3.2 6.0 1.8
## 127 6.2 2.8 4.8 1.8
## 128 6.1 3.0 4.9 1.8
## 129 6.4 2.8 5.6 2.1
## 130 7.2 3.0 5.8 1.6
## 131 7.4 2.8 6.1 1.9
## 132 7.9 3.8 6.4 2.0
## 133 6.4 2.8 5.6 2.2
## 134 6.3 2.8 5.1 1.5
## 135 6.1 2.6 5.6 1.4
## 136 7.7 3.0 6.1 2.3
## 137 6.3 3.4 5.6 2.4
## 138 6.4 3.1 5.5 1.8
## 139 6.0 3.0 4.8 1.8
## 140 6.9 3.1 5.4 2.1
## 141 6.7 3.1 5.6 2.4
## 142 6.9 3.1 5.1 2.3
## 143 5.8 2.7 5.1 1.9
## 144 6.8 3.2 5.9 2.3
## 145 6.7 3.3 5.7 2.5
## 146 6.7 3.0 5.2 2.3
## 147 6.3 2.5 5.0 1.9
## 148 6.5 3.0 5.2 2.0
## 149 6.2 3.4 5.4 2.3
## 150 5.9 3.0 5.1 1.8
# Scaling the data
iris_data1<-scale(iris_selected)
iris_data1
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 1 -0.89767388 1.01560199 -1.33575163 -1.3110521482
## 2 -1.13920048 -0.13153881 -1.33575163 -1.3110521482
## 3 -1.38072709 0.32731751 -1.39239929 -1.3110521482
## 4 -1.50149039 0.09788935 -1.27910398 -1.3110521482
## 5 -1.01843718 1.24503015 -1.33575163 -1.3110521482
## 6 -0.53538397 1.93331463 -1.16580868 -1.0486667950
## 7 -1.50149039 0.78617383 -1.33575163 -1.1798594716
## 8 -1.01843718 0.78617383 -1.27910398 -1.3110521482
## 9 -1.74301699 -0.36096697 -1.33575163 -1.3110521482
## 10 -1.13920048 0.09788935 -1.27910398 -1.4422448248
## 11 -0.53538397 1.47445831 -1.27910398 -1.3110521482
## 12 -1.25996379 0.78617383 -1.22245633 -1.3110521482
## 13 -1.25996379 -0.13153881 -1.33575163 -1.4422448248
## 14 -1.86378030 -0.13153881 -1.50569459 -1.4422448248
## 15 -0.05233076 2.16274279 -1.44904694 -1.3110521482
## 16 -0.17309407 3.08045544 -1.27910398 -1.0486667950
## 17 -0.53538397 1.93331463 -1.39239929 -1.0486667950
## 18 -0.89767388 1.01560199 -1.33575163 -1.1798594716
## 19 -0.17309407 1.70388647 -1.16580868 -1.1798594716
## 20 -0.89767388 1.70388647 -1.27910398 -1.1798594716
## 21 -0.53538397 0.78617383 -1.16580868 -1.3110521482
## 22 -0.89767388 1.47445831 -1.27910398 -1.0486667950
## 23 -1.50149039 1.24503015 -1.56234224 -1.3110521482
## 24 -0.89767388 0.55674567 -1.16580868 -0.9174741184
## 25 -1.25996379 0.78617383 -1.05251337 -1.3110521482
## 26 -1.01843718 -0.13153881 -1.22245633 -1.3110521482
## 27 -1.01843718 0.78617383 -1.22245633 -1.0486667950
## 28 -0.77691058 1.01560199 -1.27910398 -1.3110521482
## 29 -0.77691058 0.78617383 -1.33575163 -1.3110521482
## 30 -1.38072709 0.32731751 -1.22245633 -1.3110521482
## 31 -1.25996379 0.09788935 -1.22245633 -1.3110521482
## 32 -0.53538397 0.78617383 -1.27910398 -1.0486667950
## 33 -0.77691058 2.39217095 -1.27910398 -1.4422448248
## 34 -0.41462067 2.62159911 -1.33575163 -1.3110521482
## 35 -1.13920048 0.09788935 -1.27910398 -1.3110521482
## 36 -1.01843718 0.32731751 -1.44904694 -1.3110521482
## 37 -0.41462067 1.01560199 -1.39239929 -1.3110521482
## 38 -1.13920048 1.24503015 -1.33575163 -1.4422448248
## 39 -1.74301699 -0.13153881 -1.39239929 -1.3110521482
## 40 -0.89767388 0.78617383 -1.27910398 -1.3110521482
## 41 -1.01843718 1.01560199 -1.39239929 -1.1798594716
## 42 -1.62225369 -1.73753594 -1.39239929 -1.1798594716
## 43 -1.74301699 0.32731751 -1.39239929 -1.3110521482
## 44 -1.01843718 1.01560199 -1.22245633 -0.7862814418
## 45 -0.89767388 1.70388647 -1.05251337 -1.0486667950
## 46 -1.25996379 -0.13153881 -1.33575163 -1.1798594716
## 47 -0.89767388 1.70388647 -1.22245633 -1.3110521482
## 48 -1.50149039 0.32731751 -1.33575163 -1.3110521482
## 49 -0.65614727 1.47445831 -1.27910398 -1.3110521482
## 50 -1.01843718 0.55674567 -1.33575163 -1.3110521482
## 51 1.39682886 0.32731751 0.53362088 0.2632599711
## 52 0.67224905 0.32731751 0.42032558 0.3944526477
## 53 1.27606556 0.09788935 0.64691619 0.3944526477
## 54 -0.41462067 -1.73753594 0.13708732 0.1320672944
## 55 0.79301235 -0.59039513 0.47697323 0.3944526477
## 56 -0.17309407 -0.59039513 0.42032558 0.1320672944
## 57 0.55148575 0.55674567 0.53362088 0.5256453243
## 58 -1.13920048 -1.50810778 -0.25944625 -0.2615107354
## 59 0.91377565 -0.36096697 0.47697323 0.1320672944
## 60 -0.77691058 -0.81982329 0.08043967 0.2632599711
## 61 -1.01843718 -2.42582042 -0.14615094 -0.2615107354
## 62 0.06843254 -0.13153881 0.25038262 0.3944526477
## 63 0.18919584 -1.96696410 0.13708732 -0.2615107354
## 64 0.30995914 -0.36096697 0.53362088 0.2632599711
## 65 -0.29385737 -0.36096697 -0.08950329 0.1320672944
## 66 1.03453895 0.09788935 0.36367793 0.2632599711
## 67 -0.29385737 -0.13153881 0.42032558 0.3944526477
## 68 -0.05233076 -0.81982329 0.19373497 -0.2615107354
## 69 0.43072244 -1.96696410 0.42032558 0.3944526477
## 70 -0.29385737 -1.27867961 0.08043967 -0.1303180588
## 71 0.06843254 0.32731751 0.59026853 0.7880306775
## 72 0.30995914 -0.59039513 0.13708732 0.1320672944
## 73 0.55148575 -1.27867961 0.64691619 0.3944526477
## 74 0.30995914 -0.59039513 0.53362088 0.0008746178
## 75 0.67224905 -0.36096697 0.30703027 0.1320672944
## 76 0.91377565 -0.13153881 0.36367793 0.2632599711
## 77 1.15530226 -0.59039513 0.59026853 0.2632599711
## 78 1.03453895 -0.13153881 0.70356384 0.6568380009
## 79 0.18919584 -0.36096697 0.42032558 0.3944526477
## 80 -0.17309407 -1.04925145 -0.14615094 -0.2615107354
## 81 -0.41462067 -1.50810778 0.02379201 -0.1303180588
## 82 -0.41462067 -1.50810778 -0.03285564 -0.2615107354
## 83 -0.05233076 -0.81982329 0.08043967 0.0008746178
## 84 0.18919584 -0.81982329 0.76021149 0.5256453243
## 85 -0.53538397 -0.13153881 0.42032558 0.3944526477
## 86 0.18919584 0.78617383 0.42032558 0.5256453243
## 87 1.03453895 0.09788935 0.53362088 0.3944526477
## 88 0.55148575 -1.73753594 0.36367793 0.1320672944
## 89 -0.29385737 -0.13153881 0.19373497 0.1320672944
## 90 -0.41462067 -1.27867961 0.13708732 0.1320672944
## 91 -0.41462067 -1.04925145 0.36367793 0.0008746178
## 92 0.30995914 -0.13153881 0.47697323 0.2632599711
## 93 -0.05233076 -1.04925145 0.13708732 0.0008746178
## 94 -1.01843718 -1.73753594 -0.25944625 -0.2615107354
## 95 -0.29385737 -0.81982329 0.25038262 0.1320672944
## 96 -0.17309407 -0.13153881 0.25038262 0.0008746178
## 97 -0.17309407 -0.36096697 0.25038262 0.1320672944
## 98 0.43072244 -0.36096697 0.30703027 0.1320672944
## 99 -0.89767388 -1.27867961 -0.42938920 -0.1303180588
## 100 -0.17309407 -0.59039513 0.19373497 0.1320672944
## 101 0.55148575 0.55674567 1.27004036 1.7063794137
## 102 -0.05233076 -0.81982329 0.76021149 0.9192233541
## 103 1.51759216 -0.13153881 1.21339271 1.1816087073
## 104 0.55148575 -0.36096697 1.04344975 0.7880306775
## 105 0.79301235 -0.13153881 1.15674505 1.3128013839
## 106 2.12140867 -0.13153881 1.60992627 1.1816087073
## 107 -1.13920048 -1.27867961 0.42032558 0.6568380009
## 108 1.75911877 -0.36096697 1.43998331 0.7880306775
## 109 1.03453895 -1.27867961 1.15674505 0.7880306775
## 110 1.63835547 1.24503015 1.32668801 1.7063794137
## 111 0.79301235 0.32731751 0.76021149 1.0504160307
## 112 0.67224905 -0.81982329 0.87350679 0.9192233541
## 113 1.15530226 -0.13153881 0.98680210 1.1816087073
## 114 -0.17309407 -1.27867961 0.70356384 1.0504160307
## 115 -0.05233076 -0.59039513 0.76021149 1.5751867371
## 116 0.67224905 0.32731751 0.87350679 1.4439940605
## 117 0.79301235 -0.13153881 0.98680210 0.7880306775
## 118 2.24217198 1.70388647 1.66657392 1.3128013839
## 119 2.24217198 -1.04925145 1.77986923 1.4439940605
## 120 0.18919584 -1.96696410 0.70356384 0.3944526477
## 121 1.27606556 0.32731751 1.10009740 1.4439940605
## 122 -0.29385737 -0.59039513 0.64691619 1.0504160307
## 123 2.24217198 -0.59039513 1.66657392 1.0504160307
## 124 0.55148575 -0.81982329 0.64691619 0.7880306775
## 125 1.03453895 0.55674567 1.10009740 1.1816087073
## 126 1.63835547 0.32731751 1.27004036 0.7880306775
## 127 0.43072244 -0.59039513 0.59026853 0.7880306775
## 128 0.30995914 -0.13153881 0.64691619 0.7880306775
## 129 0.67224905 -0.59039513 1.04344975 1.1816087073
## 130 1.63835547 -0.13153881 1.15674505 0.5256453243
## 131 1.87988207 -0.59039513 1.32668801 0.9192233541
## 132 2.48369858 1.70388647 1.49663097 1.0504160307
## 133 0.67224905 -0.59039513 1.04344975 1.3128013839
## 134 0.55148575 -0.59039513 0.76021149 0.3944526477
## 135 0.30995914 -1.04925145 1.04344975 0.2632599711
## 136 2.24217198 -0.13153881 1.32668801 1.4439940605
## 137 0.55148575 0.78617383 1.04344975 1.5751867371
## 138 0.67224905 0.09788935 0.98680210 0.7880306775
## 139 0.18919584 -0.13153881 0.59026853 0.7880306775
## 140 1.27606556 0.09788935 0.93015445 1.1816087073
## 141 1.03453895 0.09788935 1.04344975 1.5751867371
## 142 1.27606556 0.09788935 0.76021149 1.4439940605
## 143 -0.05233076 -0.81982329 0.76021149 0.9192233541
## 144 1.15530226 0.32731751 1.21339271 1.4439940605
## 145 1.03453895 0.55674567 1.10009740 1.7063794137
## 146 1.03453895 -0.13153881 0.81685914 1.4439940605
## 147 0.55148575 -1.27867961 0.70356384 0.9192233541
## 148 0.79301235 -0.13153881 0.81685914 1.0504160307
## 149 0.43072244 0.78617383 0.93015445 1.4439940605
## 150 0.06843254 -0.13153881 0.76021149 0.7880306775
## attr(,"scaled:center")
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 5.843333 3.057333 3.758000 1.199333
## attr(,"scaled:scale")
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 0.8280661 0.4358663 1.7652982 0.7622377
#Measure the distance
irisdistance<-dist(iris_data1,method="euclidean")
irisdistance
## 1 2 3 4 5 6 7
## 2 1.1722914
## 3 0.8427840 0.5216255
## 4 1.0999999 0.4325508 0.2829432
## 5 0.2592702 1.3818560 0.9882608 1.2459861
## 6 1.0349769 2.1739229 1.8477070 2.0937597 0.8971079
## 7 0.6591230 0.9953200 0.4955334 0.7029623 0.6790442 1.5150531
## 8 0.2653865 0.9273560 0.5955157 0.8408781 0.4623398 1.2770882 0.5037468
## 9 1.6154093 0.6459347 0.7798708 0.5216255 1.7618861 2.6114809 1.1796095
## 10 0.9596625 0.2702920 0.3755259 0.3853122 1.1622978 1.9751253 0.8228272
## 11 0.5873773 1.7166916 1.4294659 1.6817561 0.5377608 0.5405840 1.1947877
## 12 0.4435393 0.9325321 0.5039975 0.7316280 0.5307731 1.3831135 0.2972919
## 13 1.2101229 0.1783123 0.4955334 0.3624815 1.4037410 2.2298924 0.9845698
## 14 1.5150531 0.7557169 0.6884307 0.5024401 1.6296132 2.5097176 1.0349769
## 15 1.4294659 2.5412300 2.2664138 2.5283520 1.3373085 0.6595814 2.0062535
## 16 2.2046974 3.3648661 3.0199053 3.2755432 2.0384911 1.2083136 2.6549549
## 17 1.0224996 2.1680104 1.8337606 2.0937597 0.8826840 0.2265906 1.5065570
## 18 0.1311927 1.1796095 0.8529340 1.1077957 0.2905728 1.0097240 0.6459347
## 19 1.0221759 2.0852433 1.8498309 2.0913897 0.9855183 0.4484448 1.6234882
## 20 0.7029623 1.8567557 1.4691255 1.7207651 0.4955334 0.4625350 1.0999999
## 21 0.4612720 1.1116076 0.9881788 1.1916094 0.6875828 1.1767659 0.9896736
## 22 0.5316053 1.6460914 1.2770882 1.5259039 0.3731971 0.5955157 0.9266879
## 23 0.6845254 1.4413672 0.9410956 1.1815904 0.5335576 1.2779601 0.5283029
## 24 0.6279597 0.8460821 0.7015872 0.8619066 0.8198192 1.4294781 0.7176060
## 25 0.5139214 0.9679898 0.5836569 0.7638154 0.5908537 1.3865893 0.3946778
## 26 1.1590305 0.1655887 0.6088380 0.5377608 1.3812233 2.1375255 1.0514677
## 27 0.3858795 0.9687426 0.6629704 0.8826840 0.5405840 1.2459861 0.5132132
## 28 0.1333894 1.2043234 0.9225864 1.1692786 0.3379073 0.9910668 0.7733522
## 29 0.2592702 0.9866359 0.7604949 1.0009797 0.5185405 1.2132575 0.7363609
## 30 0.8484761 0.5307731 0.1699430 0.2653865 0.9931195 1.8346353 0.5051537
## 31 0.9931195 0.2829432 0.3100027 0.2480807 1.1777533 1.9914459 0.7497453
## 32 0.5059113 1.1308607 1.0034122 1.2148840 0.7182928 1.1527219 0.9766177
## 33 1.3892251 2.5535829 2.1583006 2.4095550 1.1809689 0.6607751 1.7822171
## 34 1.6770710 2.8468903 2.4900399 2.7483824 1.5031755 0.7655364 2.1371203
## 35 0.9506527 0.2363181 0.3518639 0.3622899 1.1548700 1.9532184 0.7908287
## 36 0.7079231 0.4878204 0.3666919 0.5611223 0.9246796 1.7209408 0.6884307
## 37 0.4863634 1.3579974 1.1862113 1.4269962 0.6484139 0.9884177 1.1199748
## 38 0.3580278 1.3828064 0.9596625 1.2114481 0.1783123 1.0109966 0.6408191
## 39 1.4260947 0.6064679 0.5846393 0.3518639 1.5566525 2.4170616 0.9596625
## 40 0.2363181 0.9506527 0.6758146 0.9156036 0.4778513 1.2364740 0.6204957
## 41 0.1870942 1.1622978 0.7887972 1.0514677 0.2702920 1.0696222 0.5377608
## 42 2.8504745 1.6831481 2.0830666 1.8475435 3.0464266 3.8373148 2.5272324
## 43 1.0915812 0.7604949 0.3622899 0.3518639 1.1706500 2.0390669 0.5378705
## 44 0.5502762 1.2722955 0.9535483 1.1636710 0.5838299 1.0712572 0.6735853
## 45 0.7891803 1.8910820 1.5207403 1.7504315 0.6117212 0.4435393 1.1420273
## 46 1.2101229 0.1783123 0.4955334 0.3624815 1.4037410 2.1988014 0.9489634
## 47 0.6975467 1.8547121 1.4687284 1.7166916 0.4878204 0.5059113 1.1121323
## 48 0.9156036 0.5846393 0.1333894 0.2363181 1.0370809 1.9000829 0.4772427
## 49 0.5216255 1.6780274 1.3615373 1.6154093 0.4325508 0.5539087 1.0994367
## 50 0.4744817 0.6987985 0.4325508 0.6686542 0.6882845 1.4919816 0.5506262
## 51 3.4222055 3.5517610 3.7286498 3.7705864 3.5565037 3.3048277 3.7666897
## 52 2.9884691 3.0796838 3.2263647 3.2518591 3.1133856 2.9387106 3.2400553
## 53 3.5223654 3.5673331 3.7654666 3.7859104 3.6633855 3.4667998 3.8207307
## 54 3.4734647 2.7122115 3.1014359 2.9390923 3.6758867 4.0720264 3.3824256
## 55 3.4106253 3.1841347 3.4598612 3.4250594 3.5839717 3.5937548 3.5950125
## 56 2.8758727 2.5120334 2.7693211 2.6849631 3.0413470 3.2265027 2.9093879
## 57 3.0296244 3.1937700 3.2968311 3.3293677 3.1315180 2.9056406 3.2665959
## 58 2.9474424 2.0383603 2.4108589 2.2026620 3.1391596 3.6944675 2.7197021
## 59 3.2472845 3.1041768 3.3638706 3.3482025 3.4177827 3.3847684 3.4866266
## 60 2.8048933 2.2558914 2.5155993 2.3862167 2.9674924 3.3033907 2.6818714
## 61 3.7913927 2.7919525 3.2195799 2.9979278 3.9989787 4.5710738 3.5789330
## 62 2.7701737 2.6235369 2.8139104 2.7866416 2.9156125 2.9523559 2.8811690
## 63 3.6534611 2.8990023 3.3420432 3.1983081 3.8789272 4.2490402 3.6675342
## 64 3.0539044 2.8505637 3.0854769 3.0424215 3.2119894 3.2538509 3.1897380
## 65 2.4280167 2.0983257 2.3313415 2.2730311 2.5961455 2.8061770 2.4593894
## 66 3.1531195 3.1850118 3.3835504 3.4071448 3.3010851 3.1454610 3.4461333
## 67 2.7700325 2.5898183 2.7543698 2.7032984 2.9004330 2.9866989 2.8040756
## 68 2.7430380 2.2574073 2.5880355 2.4925994 2.9390216 3.2064127 2.8039230
## 69 4.0807954 3.4388948 3.8392441 3.7140105 4.2906322 4.5545528 4.1079777
## 70 3.0046719 2.3302935 2.7062705 2.5682312 3.2084042 3.5737573 2.9713856
## 71 3.0859034 3.1280392 3.2306631 3.2276923 3.1842086 3.0661190 3.2027102
## 72 2.8791409 2.5617301 2.8500069 2.8005850 3.0635390 3.1898882 3.0110958
## 73 3.7687544 3.3187453 3.6578993 3.5676257 3.9589755 4.1069159 3.8584662
## 74 3.0419253 2.7434136 3.0218077 2.9601027 3.2170061 3.3276589 3.1725350
## 75 3.0233965 2.8487388 3.1079094 3.0877351 3.1967128 3.2071004 3.2343406
## 76 3.1565489 3.0953563 3.3222820 3.3261597 3.3158571 3.2286475 3.4126765
## 77 3.6030473 3.4151580 3.6990636 3.6749551 3.7791456 3.7459965 3.8400048
## 78 3.6167358 3.5716302 3.7828180 3.7799002 3.7604591 3.6237519 3.8478444
## 79 3.0114418 2.7946069 3.0221038 2.9775454 3.1670425 3.2229117 3.1203554
## 80 2.7028360 2.0717734 2.4511205 2.3378812 2.9146218 3.2689862 2.7188117
## 81 3.1376653 2.3795903 2.7752258 2.6176676 3.3446756 3.7571913 3.0651117
## 82 3.0661909 2.2845203 2.6929619 2.5328215 3.2777184 3.7096050 2.9976518
## 83 2.7946629 2.3198644 2.6402604 2.5518172 2.9872615 3.2353950 2.8423619
## 84 3.5095001 3.1630510 3.4333338 3.3515491 3.6726715 3.7805815 3.5692373
## 85 2.7275886 2.5213386 2.6683089 2.6043821 2.8497081 2.9769171 2.7088418
## 86 2.7732991 3.0106641 3.0552637 3.0973656 2.8506475 2.6144270 2.9750586
## 87 3.3134488 3.3438123 3.5361628 3.5533312 3.4545540 3.2869589 3.5886199
## 88 3.8275954 3.2261899 3.6281493 3.5163650 4.0411648 4.2883437 3.8978244
## 89 2.4703136 2.2663910 2.4474988 2.4005964 2.6156990 2.7503539 2.5221132
## 90 3.1223255 2.4683590 2.8168265 2.6766433 3.3144462 3.6637633 3.0553743
## 91 3.0176436 2.4446728 2.7628360 2.6300384 3.1996148 3.5144204 2.9719128
## 92 2.9221122 2.8043705 3.0069887 2.9826586 3.0698549 3.0656335 3.0809270
## 93 2.9780247 2.4318488 2.7784996 2.6725915 3.1760819 3.4537105 3.0053681
## 94 3.1391596 2.2031298 2.6038421 2.3965320 3.3400106 3.8922477 2.9333000
## 95 2.8864851 2.4055677 2.6978777 2.5927779 3.0638295 3.3223236 2.8765566
## 96 2.4653441 2.2738371 2.4675516 2.4244082 2.6165857 2.7389795 2.5528001
## 97 2.6492213 2.3631366 2.5910305 2.5292507 2.8093144 2.9655881 2.7050957
## 98 2.9053236 2.7015961 2.9539363 2.9227404 3.0758115 3.1241763 3.0772167
## 99 2.7348408 1.8947013 2.2658527 2.0918137 2.9324598 3.4400347 2.5595398
## 100 2.7433858 2.3592019 2.6265928 2.5475911 2.9163871 3.1213550 2.7784996
## 101 4.2668089 4.3848832 4.4698503 4.4752978 4.3397510 4.0742936 4.4031665
## 102 3.6675034 3.3199716 3.5620824 3.4749383 3.8163034 3.9236787 3.6713077
## 103 4.4565611 4.4463516 4.6491197 4.6468693 4.5867071 4.3718484 4.6937964
## 104 3.7499005 3.6024721 3.8140125 3.7716925 3.8872397 3.8339659 3.8812155
## 105 4.1558993 4.1025106 4.2800043 4.2585617 4.2747443 4.1229897 4.3049782
## 106 5.0320143 5.0519252 5.2633469 5.2666772 5.1617778 4.8990816 5.3123577
## 107 3.5040636 2.8761660 3.1298762 2.9642619 3.6524093 4.0132368 3.2942584
## 108 4.5895907 4.5347266 4.7708393 4.7583301 4.7333811 4.5488548 4.8502371
## 109 4.4289799 4.0816374 4.3951135 4.3204046 4.6046184 4.6421200 4.5585300
## 110 4.7620962 5.0796887 5.1434798 5.2028463 4.8220354 4.3590937 5.0485781
## 111 3.6471563 3.7300923 3.8646356 3.8797835 3.7540830 3.5298110 3.8525942
## 112 3.9608579 3.6891783 3.9546305 3.8955361 4.1203145 4.1315306 4.0732470
## 113 4.1398378 4.1075974 4.3030165 4.2963791 4.2693910 4.0902202 4.3441376
## 114 3.9400614 3.4618829 3.7426191 3.6286475 4.1011042 4.2835573 3.8937377
## 115 4.0021579 3.7570296 3.9460032 3.8811057 4.1262070 4.1468798 3.9972924
## 116 3.9254931 3.9953724 4.1157406 4.1233231 4.0214076 3.7960203 4.0867007
## 117 3.7382826 3.6788383 3.8732984 3.8545894 3.8699737 3.7463912 3.9209421
## 118 5.1216144 5.5408512 5.5912668 5.6706138 5.1711398 4.6223779 5.4849359
## 119 5.6053211 5.4381292 5.7161094 5.6814203 5.7613083 5.6125657 5.8288502
## 120 4.1405966 3.4929897 3.8768794 3.7365436 4.3408339 4.6167453 4.1322457
## 121 4.3269526 4.4235392 4.5674245 4.5845756 4.4306410 4.1482845 4.5544850
## 122 3.5286435 3.2299625 3.4291139 3.3493580 3.6607794 3.7576011 3.5012027
## 123 5.1988796 5.1219839 5.3760062 5.3611840 5.3470411 5.1490259 5.4679098
## 124 3.7156386 3.4160322 3.6897608 3.6294090 3.8814170 3.9268923 3.8206676
## 125 4.0113233 4.1648046 4.2792576 4.3030165 4.1030678 3.8036902 4.2419305
## 126 4.2545835 4.3728328 4.5397790 4.5624067 4.3700165 4.0756825 4.5532323
## 127 3.5298110 3.2849520 3.5299669 3.4796385 3.6857227 3.7094120 3.6346298
## 128 3.3333812 3.2306631 3.4108541 3.3837389 3.4636252 3.4114006 3.4535647
## 129 4.1131305 3.9199306 4.1477254 4.0995723 4.2545462 4.2050494 4.2257800
## 130 4.1633369 4.1594248 4.3814385 4.3838439 4.3057504 4.1062729 4.4522034
## 131 4.7282933 4.6247294 4.8827588 4.8653567 4.8817778 4.7209906 4.9823042
## 132 5.0503800 5.4857184 5.5454265 5.6340212 5.1063125 4.5455726 5.4516463
## 133 4.1939351 4.0046355 4.2278689 4.1806389 4.3327142 4.2760780 4.3004700
## 134 3.4613723 3.2203691 3.4811094 3.4287025 3.6242588 3.6527447 3.6029395
## 135 3.7230438 3.3288614 3.6283855 3.5312881 3.8945376 4.0264476 3.7938540
## 136 5.0846267 5.1100435 5.3216221 5.3336738 5.2158776 4.9400744 5.3693944
## 137 4.0179192 4.2061372 4.2670518 4.2910462 4.0824235 3.7765921 4.1791853
## 138 3.6203949 3.6241401 3.7860397 3.7769859 3.7382826 3.5825067 3.8033835
## 139 3.2577477 3.1433007 3.3184827 3.2881240 3.3865945 3.3534908 3.3589822
## 140 4.1127884 4.1513655 4.3265227 4.3369342 4.2341898 4.0021651 4.3473457
## 141 4.3088998 4.3322921 4.4888621 4.4895518 4.4183274 4.1951012 4.4895500
## 142 4.1893533 4.2272318 4.3971806 4.4117915 4.3085979 4.0710008 4.4120541
## 143 3.6675034 3.3199716 3.5620824 3.4749383 3.8163034 3.9236787 3.6713077
## 144 4.3332278 4.4230881 4.5620035 4.5731831 4.4334813 4.1607216 4.5444296
## 145 4.3568623 4.4985700 4.6047346 4.6268225 4.4414750 4.1333050 4.5549772
## 146 4.1561269 4.1169353 4.3029248 4.2973740 4.2817830 4.1076280 4.3349720
## 147 4.0616164 3.6479156 3.9597807 3.8748876 4.2387151 4.3434247 4.1283516
## 148 3.7927058 3.7341280 3.9233974 3.9098559 3.9225702 3.7901685 3.9641899
## 149 3.8133822 4.0039311 4.0591174 4.0839055 3.8775279 3.5854865 3.9689273
## 150 3.3239290 3.2027469 3.3690495 3.3290016 3.4460757 3.4221668 3.4018388
## 8 9 10 11 12 13 14
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9 1.3579974
## 10 0.7110069 0.7717279
## 11 0.8408781 2.1978108 1.5088897
## 12 0.2480807 1.2498433 0.7132600 1.0009797
## 13 0.9596625 0.5506262 0.2653865 1.7676717 0.9339400
## 14 1.2748946 0.3366202 0.7930930 2.1005757 1.1420273 0.6272758
## 15 1.6903208 3.0397972 2.3432878 0.8578791 1.8451729 2.5984905 2.9266872
## 16 2.4591013 3.7921104 3.1597414 1.6671313 2.5528550 3.4141332 3.6580834
## 17 1.2770882 2.6065611 1.9751253 0.5405840 1.3923630 2.2241287 2.4891758
## 18 0.2960431 1.6207278 0.9861981 0.6018501 0.4625350 1.2312725 1.5319988
## 19 1.2597019 2.6027620 1.8958561 0.4625350 1.4296513 2.1558753 2.5321087
## 20 0.9348753 2.2357650 1.6451164 0.4484448 0.9969308 1.8899987 2.1029353
## 21 0.4961615 1.6742730 0.9318676 0.6975467 0.7267908 1.1888249 1.6551638
## 22 0.7464351 2.0384911 1.4519576 0.4473254 0.8228272 1.6936922 1.9284282
## 23 0.7239568 1.6397881 1.2428280 1.0325807 0.6200054 1.4219114 1.4306001
## 24 0.4847273 1.3193126 0.7463942 1.0682649 0.5848110 0.9535483 1.3408967
## 25 0.3311773 1.2765173 0.7462400 1.0247413 0.1699430 0.9693461 1.1955650
## 26 0.9194593 0.7684328 0.2960431 1.6780274 0.9489634 0.2972919 0.9011328
## 27 0.2684307 1.3865893 0.8040099 0.8826840 0.3566247 1.0335720 1.3386295
## 28 0.3331252 1.6827099 0.9953200 0.5185405 0.5377608 1.2528739 1.6018029
## 29 0.2480807 1.4997645 0.7908287 0.7316280 0.4961615 1.0453461 1.4386015
## 30 0.5873773 0.7860187 0.3624815 1.4260947 0.4744817 0.5051537 0.7357479
## 31 0.7316280 0.6758146 0.1870942 1.5566525 0.6882845 0.2875493 0.7174030
## 32 0.5497149 1.6871172 0.9966110 0.7366014 0.7727037 1.2350405 1.6772240
## 33 1.6293475 2.9212241 2.3227101 0.9579891 1.6831481 2.5701479 2.7571253
## 34 1.9330259 3.2650172 2.6295527 1.1548700 2.0239137 2.8829820 3.1186414
## 35 0.6987985 0.7604949 0.1311927 1.5031755 0.7010908 0.2960431 0.8038706
## 36 0.4893156 1.0057769 0.3366202 1.2562456 0.5658865 0.5467463 0.9724066
## 37 0.6557953 1.9138411 1.1820574 0.4878204 0.8922572 1.4321164 1.8563521
## 38 0.4955334 1.7207651 1.1485386 0.6615528 0.5051537 1.3818560 1.5648766
## 39 1.1747545 0.2363181 0.6687892 2.0125705 1.0509127 0.5037468 0.2112608
## 40 0.1207633 1.4260947 0.7411357 0.7778107 0.3666919 0.9969308 1.3579812
## 41 0.2875493 1.5621711 0.9687426 0.6884307 0.3963136 1.2026313 1.4533475
## 42 2.6007216 1.3892251 1.9193250 3.3953262 2.5586045 1.6680935 1.6490130
## 43 0.8651016 0.6906117 0.6687892 1.6694746 0.6875828 0.6814030 0.5051537
## 44 0.5755263 1.6456543 1.1359037 0.8499899 0.6215760 1.3481064 1.5940668
## 45 0.9884177 2.2643530 1.6863596 0.5514351 1.0349769 1.9326582 2.1592648
## 46 0.9596625 0.5506262 0.3731971 1.7676717 0.9339400 0.2623854 0.6799420
## 47 0.9273560 2.2340682 1.6303320 0.4325508 0.9866359 1.8788527 2.0975183
## 48 0.6686542 0.7294317 0.4520086 1.5008340 0.5307731 0.5348792 0.6228124
## 49 0.7778107 2.1338418 1.4647505 0.1207633 0.9173543 1.7216973 2.0263660
## 50 0.2363181 1.1692786 0.4955334 1.0386269 0.3518639 0.7411357 1.1110502
## 51 3.4363482 4.0379920 3.5607303 3.2884356 3.5820891 3.6976204 4.2319824
## 52 2.9775454 3.5071070 3.0976612 2.9276470 3.0905460 3.2250985 3.7047274
## 53 3.5152210 4.0205879 3.5939562 3.4343255 3.6480790 3.7132885 4.2330202
## 54 3.2896652 2.8127259 2.8944530 3.7973257 3.3188354 2.8180747 3.1395034
## 55 3.3419822 3.5607303 3.2656465 3.4671040 3.4505739 3.3293677 3.8175287
## 56 2.7532166 2.7719481 2.6026173 3.0603151 2.8031329 2.6370629 3.0425288
## 57 3.0293109 3.6020759 3.1980513 2.9466780 3.1290975 3.3350008 3.7866403
## 58 2.7238853 1.9850685 2.2389867 3.3766157 2.7031902 2.1123665 2.3167274
## 59 3.1962133 3.5252110 3.1603047 3.2611732 3.3183926 3.2468770 3.7652204
## 60 2.6390111 2.3723337 2.3938580 3.1062648 2.6435892 2.3709535 2.6607499
## 61 3.5639903 2.7028360 3.0102177 4.2226336 3.5546044 2.8515515 3.0365811
## 62 2.6965827 2.9594856 2.6877131 2.8621490 2.7721534 2.7665712 3.1922893
## 63 3.4850080 3.0957172 3.0705028 3.9338962 3.5538329 3.0053681 3.4170693
## 64 2.9740543 3.1918213 2.9163900 3.1381238 3.0566086 2.9867366 3.4417052
## 65 2.3105609 2.3949514 2.1951680 2.6315137 2.3696983 2.2399983 2.6460068
## 66 3.1409613 3.6458038 3.2144396 3.0881695 3.2760890 3.3337948 3.8543731
## 67 2.6765687 2.8539893 2.6511810 2.9041986 2.7171745 2.7185707 3.0899303
## 68 2.6044923 2.5514379 2.3636560 2.9610573 2.6729645 2.3802469 2.8350095
## 69 3.9340360 3.6464947 3.6041360 4.3097050 4.0057044 3.5615265 3.9644092
## 70 2.8339244 2.5183310 2.4857711 3.2985748 2.8790020 2.4445947 2.8315303
## 71 3.0483663 3.4454009 3.1590659 3.0953560 3.1092292 3.2647922 3.6484498
## 72 2.7834817 2.9187663 2.6566625 3.0110490 2.8793320 2.7060895 3.1800760
## 73 3.6532969 3.5981464 3.4404031 3.9216520 3.7347382 3.4498856 3.8931520
## 74 2.9439263 3.0794567 2.8182201 3.1599601 3.0273023 2.8726912 3.3432161
## 75 2.9618858 3.2580418 2.9131047 3.0701106 3.0775480 2.9938729 3.4997875
## 76 3.1229528 3.5323794 3.1424238 3.1395034 3.2498646 3.2437556 3.7574083
## 77 3.5486755 3.8263434 3.4845055 3.6187086 3.6732659 3.5584209 4.0776484
## 78 3.5861499 3.9747772 3.6214501 3.5843337 3.6998763 3.7188303 4.2056184
## 79 2.9276470 3.1186536 2.8699659 3.1129744 3.0039099 2.9342743 3.3690295
## 80 2.5433267 2.3356114 2.2196867 2.9808530 2.6096058 2.1983551 2.6349779
## 81 2.9529635 2.5145697 2.5540032 3.4643838 2.9875744 2.4857711 2.8382190
## 82 2.8780192 2.4247977 2.4599818 3.4007288 2.9146218 2.3877224 2.7492532
## 83 2.6612214 2.6068599 2.4401711 3.0110761 2.7306216 2.4536309 2.8902423
## 84 3.4014511 3.4220629 3.2616303 3.6497958 3.4617510 3.2923323 3.7007254
## 85 2.6215157 2.7392642 2.5843278 2.8941379 2.6409641 2.6424006 2.9744996
## 86 2.7784701 3.3921443 2.9998375 2.6944888 2.8587154 3.1462134 3.5551446
## 87 3.2989642 3.7853225 3.3741032 3.2487410 3.4250594 3.4907580 3.9981442
## 88 3.6898638 3.4828637 3.3770397 4.0347886 3.7747683 3.3506858 3.7928550
## 89 2.3704558 2.5641029 2.3270057 2.6247686 2.4215180 2.3981554 2.7984241
## 90 2.9523559 2.6189085 2.6275491 3.4179736 2.9848245 2.5842311 2.9314138
## 91 2.8553922 2.6167891 2.5733779 3.2868798 2.8845042 2.5548887 2.9188024
## 92 2.8581636 3.1672983 2.8539893 2.9759196 2.9450592 2.9426818 3.4007148
## 93 2.8335309 2.6874824 2.5662052 3.2139074 2.8977015 2.5597700 2.9841032
## 94 2.9172504 2.1633142 2.4118882 3.5625113 2.9079841 2.2781853 2.4982193
## 95 2.7433858 2.6285031 2.5247949 3.1215359 2.7864739 2.5300944 2.9155890
## 96 2.3700807 2.5988977 2.3254939 2.6021072 2.4318488 2.4041010 2.8328115
## 97 2.5401693 2.6576444 2.4416590 2.8145982 2.5978965 2.4956369 2.9108973
## 98 2.8309736 3.0832563 2.7693840 2.9833812 2.9319405 2.8439846 3.3289353
## 99 2.5287055 1.9422738 2.0967700 3.1348318 2.5333697 1.9974561 2.2647028
## 100 2.6194265 2.6342396 2.4606524 2.9405309 2.6766433 2.4919115 2.9043912
## 101 4.2567975 4.6906273 4.4137218 4.1983940 4.3187289 4.5231705 4.8913991
## 102 3.5560547 3.5264939 3.4291139 3.8249189 3.5975971 3.4498850 3.8034126
## 103 4.4384163 4.8369106 4.4953678 4.3840433 4.5501354 4.5932082 5.0706728
## 104 3.6852401 3.9155448 3.6656996 3.7882023 3.7600213 3.7374744 4.1663429
## 105 4.1160070 4.4250683 4.1604956 4.1426841 4.1954873 4.2447062 4.6623397
## 106 5.0260006 5.4659674 5.0907084 4.9191084 5.1489441 5.1957007 5.6985465
## 107 3.3224774 2.8571296 3.0313614 3.8347119 3.2938621 2.9699279 3.1554160
## 108 4.5640260 4.9371863 4.5802149 4.5203001 4.6824700 4.6740058 5.1796894
## 109 4.3379534 4.3790070 4.1865946 4.5148572 4.4266365 4.2151327 4.6667869
## 110 4.8129140 5.4960335 5.0729415 4.5467379 4.9207554 5.2247121 5.6653440
## 111 3.6369270 4.1078916 3.7627449 3.5799313 3.7326618 3.8770710 4.3147172
## 112 3.8788540 3.9873564 3.7860020 4.0410355 3.9597807 3.8294303 4.2593792
## 113 4.1127884 4.4788956 4.1636904 4.0969910 4.2154344 4.2558634 4.7129615
## 114 3.8060121 3.6113978 3.6017542 4.1495212 3.8380973 3.5873923 3.9074970
## 115 3.9137560 3.9540477 3.8624762 4.1214248 3.9515397 3.8944680 4.2108339
## 116 3.9106242 4.3333991 4.0370899 3.8727668 3.9909067 4.1418828 4.5423527
## 117 3.6964882 4.0354042 3.7275385 3.7261700 3.7873314 3.8187820 4.2714419
## 118 5.1995571 6.0036586 5.5027452 4.8300186 5.3233687 5.6778499 6.1547703
## 119 5.5630886 5.8011068 5.5170013 5.5705946 5.6778499 5.5807365 6.0684714
## 120 3.9847038 3.6578993 3.6513951 4.3827072 4.0370945 3.6057059 3.9796705
## 121 4.3273746 4.8075186 4.4583766 4.2247083 4.4301839 4.5722784 5.0189349
## 122 3.4214096 3.4147042 3.3333545 3.6889078 3.4495491 3.3597977 3.6772678
## 123 5.1749458 5.5249307 5.1766584 5.1217172 5.2993325 5.2633469 5.7746029
## 124 3.6276145 3.7165054 3.5191333 3.8158507 3.7096197 3.5581154 3.9893743
## 125 4.0176244 4.5501354 4.1810165 3.8962561 4.1139998 4.3077194 4.7485523
## 126 4.2630250 4.8066325 4.3863105 4.1164743 4.3851445 4.5138769 5.0154100
## 127 3.4490155 3.5907496 3.3774363 3.6190722 3.5278155 3.4282140 3.8525942
## 128 3.2745283 3.5502773 3.2918662 3.3778002 3.3477689 3.3719072 3.7858956
## 129 4.0448703 4.2142739 4.0042413 4.1628850 4.1202035 4.0606899 4.4749009
## 130 4.1481998 4.5904591 4.1920647 4.0756825 4.2751033 4.2994634 4.8193497
## 131 4.6967518 5.0240172 4.6856460 4.6756187 4.8193194 4.7680497 5.2748915
## 132 5.1369629 5.9772625 5.4426728 4.7380094 5.2751466 5.6231258 6.1234529
## 133 4.1270117 4.2931753 4.0914081 4.2427421 4.2008721 4.1466703 4.5530660
## 134 3.3804074 3.5523497 3.2961221 3.5372955 3.4664117 3.3553565 3.8146883
## 135 3.6064023 3.5815506 3.4233022 3.8673545 3.6669106 3.4461863 3.8696541
## 136 5.0847026 5.5329226 5.1581822 4.9673409 5.2149370 5.2615506 5.7629515
## 137 4.0235915 4.5355980 4.2227129 3.9216899 4.0921944 4.3461521 4.7200357
## 138 3.5878454 3.9805105 3.6592087 3.5907936 3.6734389 3.7622425 4.2036592
## 139 3.1939437 3.4498965 3.2071727 3.3173702 3.2610398 3.2838615 3.6853631
## 140 4.1027624 4.5467678 4.1951091 4.0336674 4.2133445 4.3015137 4.7675190
## 141 4.2910462 4.6814891 4.3845515 4.2525558 4.3821437 4.4813918 4.9046837
## 142 4.1818137 4.6161401 4.2805014 4.1140465 4.2926020 4.3826383 4.8348707
## 143 3.5560547 3.5264939 3.4291139 3.8249189 3.5975971 3.4498850 3.8034126
## 144 4.3288003 4.7919105 4.4564891 4.2399494 4.4235392 4.5686509 5.0049195
## 145 4.3626644 4.8574960 4.5288107 4.2511583 4.4515760 4.6460385 5.0574674
## 146 4.1279836 4.4711818 4.1834456 4.1264059 4.2256392 4.2695258 4.7037097
## 147 3.9539067 3.9038283 3.7763561 4.2031125 4.0284801 3.7858448 4.1960454
## 148 3.7540830 4.0858717 3.7937453 3.7833130 3.8460690 3.8809538 4.3204353
## 149 3.8172197 4.3319378 4.0186554 3.7253456 3.8836108 4.1431053 4.5133884
## 150 3.2539881 3.4832739 3.2625069 3.3924589 3.3081647 3.3364393 3.7204712
## 15 16 17 18 19 20 21
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16 0.9769887
## 17 0.5983583 1.2083136
## 18 1.4354736 2.1929560 0.9969308
## 19 0.5679510 1.3874399 0.5024401 1.0137219
## 20 0.9855183 1.5611437 0.4625350 0.6906117 0.7333838
## 21 1.4861044 2.3402273 1.1983828 0.4795658 0.9953200 1.0017474
## 22 1.1340490 1.7618861 0.5955157 0.4805930 0.7795515 0.2642892 0.8286564
## 23 1.7190392 2.2983674 1.2267126 0.6969838 1.4661638 0.8201091 1.1406794
## 24 1.8785525 2.6313826 1.4473254 0.5552259 1.3819530 1.1822072 0.5820609
## 25 1.8736484 2.5622653 1.4231361 0.5304024 1.4330142 1.0207866 0.7333838
## 26 2.4996866 3.3322015 2.1435221 1.1664318 2.0257866 1.8449364 1.0386269
## 27 1.7171177 2.4457191 1.2562456 0.3118788 1.2558750 0.9365900 0.5526259
## 28 1.3674167 2.1672702 0.9910668 0.1870942 0.9318676 0.7110069 0.3518639
## 29 1.5597416 2.3875463 1.2026313 0.2905728 1.1193226 0.9365900 0.2953231
## 30 2.2770081 3.0183109 1.8416184 0.8585588 1.8367744 1.4658455 0.9635160
## 31 2.4027777 3.1857560 1.9978810 1.0017474 1.9444621 1.6525439 1.0009797
## 32 1.4919816 2.3227101 1.1527219 0.4520086 1.0017474 0.9953200 0.2858005
## 33 0.7897755 0.9966110 0.6607751 1.4076864 0.9591725 0.7464351 1.6332817
## 34 0.5955157 0.5839000 0.7485815 1.6821946 0.9729459 1.0468798 1.8472277
## 35 2.3396124 3.1460941 1.9532184 0.9596625 1.8821891 1.6293475 0.9225864
## 36 2.0741619 2.8969122 1.6984176 0.7199768 1.6452910 1.3984341 0.7239568
## 37 1.2043234 2.0984844 0.9620948 0.5037468 0.7750003 0.8585588 0.3443318
## 38 1.4330142 2.1119328 0.9982197 0.4240501 1.1142879 0.5839000 0.7881850
## 39 2.8505012 3.5865369 2.4064171 1.4321164 2.4294030 2.0281613 1.5335962
## 40 1.6243238 2.4202459 1.2364740 0.2702920 1.1820574 0.9270426 0.3795916
## 41 1.5065570 2.2379169 1.0453461 0.1333894 1.1134109 0.7079231 0.5954263
## 42 4.2068103 5.0341982 3.8306189 2.8474538 3.7409618 3.5186986 2.7602448
## 43 2.4960799 3.1821547 2.0264378 1.0994367 2.1043182 1.6246829 1.3115906
## 44 1.6049988 2.2472828 1.0831729 0.4269933 1.1603677 0.8040099 0.7513794
## 45 1.0729581 1.5720373 0.5471871 0.7557585 0.7450257 0.2618298 1.0271964
## 46 2.5984905 3.3939083 2.1929560 1.2029904 2.1398487 1.8716968 1.1888249
## 47 0.9881788 1.5786111 0.5306769 0.7097766 0.7385366 0.1429002 0.9882608
## 48 2.3412999 3.0686251 1.8933155 0.9249548 1.9250120 1.5099526 1.0829549
## 49 0.9312414 1.6974726 0.5539087 0.5378705 0.5621610 0.3580278 0.7079231
## 50 1.8776113 2.6750273 1.4833535 0.4922849 1.4410514 1.1622978 0.5611223
## 51 3.4464881 3.8796327 3.4268614 3.3638706 3.0545466 3.5395268 3.0513137
## 52 3.2089098 3.6421186 3.0669479 2.9155890 2.7575039 3.1186727 2.6633616
## 53 3.6510361 4.0973054 3.5904786 3.4607470 3.2316746 3.6731978 3.1543308
## 54 4.4656292 5.1644077 4.1500831 3.4210401 3.9141299 3.9753589 3.1880757
## 55 3.8616931 4.4243538 3.7028226 3.3469504 3.3725778 3.6992450 3.0441843
## 56 3.6292561 4.2139456 3.3437209 2.8123303 3.0823208 3.2245863 2.5738321
## 57 3.2012889 3.5578866 3.0437214 2.9519338 2.7636489 3.1001151 2.7377804
## 58 4.1440459 4.8628788 3.7564850 2.9033160 3.5937621 3.5011867 2.7479724
## 59 3.6186489 4.1836126 3.5003540 3.1911463 3.1408263 3.5142465 2.8630965
## 60 3.7733943 4.3756462 3.3953660 2.7334157 3.2201606 3.2116425 2.5824708
## 61 4.9786895 5.7390658 4.6268940 3.7571913 4.4330746 4.3813251 3.5625113
## 62 3.3279302 3.8467084 3.0674974 2.6913889 2.8126816 3.0199231 2.4740928
## 63 4.5530400 5.3134650 4.3239026 3.6179559 4.0183703 4.1839445 3.3020993
## 64 3.5930204 4.1332616 3.3777268 2.9883887 3.0769489 3.3302496 2.7197530
## 65 3.2184466 3.8297852 2.9006437 2.3524080 2.6754044 2.7864881 2.1483236
## 66 3.3480346 3.8436912 3.2616565 3.0897083 2.9085267 3.3307656 2.7849922
## 67 3.4242318 3.9117957 3.1129600 2.6912436 2.8944171 3.0166040 2.5149752
## 68 3.5631405 4.2444820 3.3088586 2.6955676 3.0125435 3.1774730 2.4005131
## 69 4.8673524 5.5508281 4.6383295 4.0277293 4.3398178 4.5394163 3.7333227
## 70 3.9541352 4.6592237 3.6589426 2.9555807 3.4007288 3.4943084 2.6961496
## 71 3.4566351 3.8086894 3.2012889 2.9982065 2.9849080 3.1930313 2.8399119
## 72 3.5084809 4.1362078 3.2889479 2.8156723 2.9859267 3.2324689 2.5277814
## 73 4.4169889 5.0318209 4.2118398 3.7112292 3.8968123 4.1453319 3.4116893
## 74 3.6555637 4.2539385 3.4488849 2.9876899 3.1271812 3.3767159 2.6867750
## 75 3.4728271 4.0580720 3.3172729 2.9630195 2.9780247 3.3113821 2.6506901
## 76 3.4585430 3.9897465 3.3419519 3.0932080 2.9953288 3.3810444 2.7856863
## 77 3.9592186 4.5227742 3.8574155 3.5476873 3.4921005 3.8801529 3.2117951
## 78 3.8666961 4.3145107 3.7456756 3.5470613 3.4198209 3.7956108 3.2671088
## 79 3.5820031 4.1164665 3.3402559 2.9391315 3.0641727 3.2880731 2.6954622
## 80 3.6236123 4.3540414 3.3465959 2.6546468 3.0761721 3.1987078 2.3751377
## 81 4.1436440 4.8635532 3.8349621 3.0906872 3.5905333 3.6536725 2.8438697
## 82 4.0882188 4.8255567 3.7849631 3.0237979 3.5358435 3.5981588 2.7682904
## 83 3.5994696 4.2634087 3.3292493 2.7355295 3.0546625 3.2134418 2.4671550
## 84 4.1482907 4.6883573 3.9008943 3.4426559 3.6219698 3.8233429 3.1917478
## 85 3.4496911 3.9266800 3.1035761 2.6475369 2.9145018 2.9776769 2.5033508
## 86 2.9700654 3.2804728 2.7577850 2.6882107 2.5294306 2.7964781 2.5326459
## 87 3.5049428 3.9651788 3.4096321 3.2478693 3.0666144 3.4752127 2.9555373
## 88 4.5766072 5.2755021 4.3742851 3.7800853 4.0532561 4.2852463 3.4601040
## 89 3.1785829 3.7275835 2.8691305 2.3960400 2.6368315 2.7611206 2.1980638
## 90 4.0710021 4.7392114 3.7503271 3.0638986 3.5174885 3.5854972 2.8387207
## 91 3.9313209 4.5730825 3.6187883 2.9629637 3.3721752 3.4505035 2.7283421
## 92 3.4033798 3.9185720 3.1927935 2.8535723 2.8954192 3.1612599 2.5949937
## 93 3.8149549 4.4917923 3.5454065 2.9226037 3.2689483 3.4196643 2.6496823
## 94 4.3199795 5.0583557 3.9511621 3.0977653 3.7713195 3.7068906 2.9198427
## 95 3.7315801 4.3543335 3.4250502 2.8231816 3.1796925 3.2854507 2.5934058
## 96 3.1444434 3.7091473 2.8627161 2.3981040 2.6016373 2.7617502 2.1679945
## 97 3.3696215 3.9467519 3.0802350 2.5801030 2.8267241 2.9747465 2.3527383
## 98 3.4305761 4.0147151 3.2371721 2.8424396 2.9186676 3.2039398 2.5497337
## 99 3.8719282 4.5926522 3.4955563 2.6808130 3.3263444 3.2740270 2.5162115
## 100 3.5179082 4.1277756 3.2265027 2.6767002 2.9720765 3.1111333 2.4407271
## 101 4.4093254 4.5806706 4.2136792 4.1750616 4.0130641 4.2713590 4.0338786
## 102 4.3302023 4.8226712 4.0397319 3.5892341 3.8078074 3.9558403 3.3906120
## 103 4.5858837 4.9357872 4.4991790 4.3845309 4.1790354 4.5816337 4.1147132
## 104 4.1656205 4.5974033 3.9688578 3.6780697 3.6799525 3.9535466 3.4328107
## 105 4.4331808 4.7707611 4.2547533 4.0743404 3.9887042 4.2864816 3.8581986
## 106 5.0556450 5.3760836 5.0309298 4.9683339 4.6813209 5.1387424 4.6710605
## 107 4.5157302 5.0726943 4.1080676 3.4321026 3.9646364 3.9007120 3.3191306
## 108 4.7331918 5.1326141 4.6823413 4.5310910 4.3197002 4.7527039 4.2162751
## 109 4.9214809 5.4559375 4.7595335 4.3683299 4.4295514 4.7365704 4.0655482
## 110 4.5288204 4.5859096 4.4925042 4.6800686 4.2467415 4.6650317 4.5003472
## 111 3.8132330 4.1325641 3.6583802 3.5636141 3.3929318 3.7264324 3.3557818
## 112 4.4484942 4.9429853 4.2479487 3.8884978 3.9558403 4.2277241 3.6291240
## 113 4.3438260 4.7106266 4.2138780 4.0621953 3.9171020 4.2771906 3.8141457
## 114 4.6976842 5.2286881 4.3871826 3.8628591 4.1670593 4.2808664 3.6695993
## 115 4.5597112 4.9530942 4.2568523 3.9086024 4.0716268 4.2103943 3.7640684
## 116 4.1083254 4.3750960 3.9224091 3.8345565 3.6949915 3.9847134 3.6630607
## 117 4.0395349 4.4450036 3.8810196 3.6662241 3.5788926 3.9030921 3.4127284
## 118 4.6975518 4.6884968 4.7645885 5.0556587 4.4798727 4.9748375 4.8439666
## 119 5.7963634 6.2015050 5.7347331 5.5420170 5.3828342 5.8034752 5.2298089
## 120 4.9654097 5.6232787 4.7130505 4.0883068 4.4248627 4.5897560 3.8089480
## 121 4.3842718 4.6426059 4.2762687 4.2446256 4.0017426 4.3778182 4.0269726
## 122 4.1961526 4.6481642 3.8720024 3.4422263 3.6794581 3.7831211 3.2887354
## 123 5.3035966 5.6913813 5.2770630 5.1406173 4.9085393 5.3640943 4.8175390
## 124 4.2496476 4.7770494 4.0364984 3.6431323 3.7486918 4.0064099 3.3841739
## 125 4.0585721 4.2967682 3.9428757 3.9311434 3.6722162 4.0356548 3.7235714
## 126 4.2457968 4.5533188 4.2150222 4.1914107 3.8706903 4.3240161 3.9083502
## 127 4.0469822 4.5505768 3.8218977 3.4534054 3.5474951 3.7941416 3.2122048
## 128 3.7675180 4.1991974 3.5370171 3.2523642 3.2803490 3.5226849 3.0412040
## 129 4.5310796 4.9556164 4.3283921 4.0349741 4.0540952 4.3242541 3.8009868
## 130 4.2761849 4.6914897 4.2385562 4.1071478 3.8669287 4.3176774 3.7861660
## 131 4.8981678 5.3247158 4.8444451 4.6678450 4.4829820 4.9167922 4.3491517
## 132 4.5711644 4.5895907 4.6818950 4.9903843 4.3727864 4.9104494 4.7562772
## 133 4.6045555 5.0160280 4.3974289 4.1131305 4.1318899 4.3972719 3.8882837
## 134 3.9666021 4.4990622 3.7771317 3.3986483 3.4607451 3.7417988 3.1136037
## 135 4.3748325 4.9399623 4.1550954 3.6694945 3.8440246 4.0638646 3.3827019
## 136 5.0816784 5.3994377 5.0581845 5.0147539 4.7222286 5.1867309 4.7286185
## 137 4.0990793 4.2506008 3.9134621 3.9247394 3.7199886 3.9908390 3.7937427
## 138 3.8894916 4.2565354 3.7230660 3.5459416 3.4351356 3.7484406 3.3124002
## 139 3.7265291 4.1612705 3.4775084 3.1748013 3.2336417 3.4521322 2.9760995
## 140 4.2311008 4.5662584 4.1253509 4.0346254 3.8273860 4.2144661 3.7896576
## 141 4.4707740 4.7574091 4.3187280 4.2221466 4.0630908 4.3928588 4.0186554
## 142 4.3010881 4.6225458 4.1829686 4.1042671 3.9081263 4.2834314 3.8800668
## 143 4.3302023 4.8226712 4.0397319 3.5892341 3.8078074 3.9558403 3.3906120
## 144 4.4165629 4.6658657 4.2943168 4.2510223 4.0255168 4.3825564 4.0397831
## 145 4.4004026 4.5911183 4.2617390 4.2670518 4.0297661 4.3635252 4.0934727
## 146 4.3783129 4.7309306 4.2216654 4.0703463 3.9550907 4.2871787 3.8507280
## 147 4.6707435 5.2278712 4.4456547 3.9910836 4.1619008 4.3969176 3.7300922
## 148 4.0852412 4.4776644 3.9134675 3.7124404 3.6341778 3.9489741 3.4805656
## 149 3.9216274 4.0893158 3.7224868 3.7197059 3.5333355 3.7910768 3.5939814
## 150 3.8164491 4.2317263 3.5546315 3.2426759 3.3180215 3.5119150 3.0532758
## 22 23 24 25 26 27 28
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
## 17
## 18
## 19
## 20
## 21
## 22
## 23 0.7525302
## 24 0.9339400 1.0726008
## 25 0.8515744 0.7271930 0.5929846
## 26 1.6327479 1.4979336 0.8040099 0.9640603
## 27 0.7010908 0.7926273 0.2960431 0.3950466 0.9544855
## 28 0.5421983 0.8110962 0.6267953 0.5807934 1.1736593 0.4278170
## 29 0.7485815 0.8870785 0.5010043 0.5599681 0.9557026 0.3741885 0.2363181
## 30 1.2733136 0.9860541 0.6664010 0.5039975 0.5846393 0.6408191 0.9173543
## 31 1.4485341 1.2205694 0.7070472 0.7089543 0.3331252 0.7751882 1.0386269
## 32 0.7778107 1.1370931 0.4625350 0.8032467 1.0712572 0.4863634 0.4240501
## 33 1.0058250 1.3922584 1.9161393 1.6973868 2.5392650 1.6720271 1.3828064
## 34 1.2733136 1.7684940 2.1635028 2.0404938 2.8208507 1.9532184 1.6473280
## 35 1.4220138 1.2358843 0.6607751 0.7346173 0.2653865 0.7485815 0.9866359
## 36 1.1950910 1.0432510 0.5498624 0.6527810 0.5117543 0.5750987 0.7489668
## 37 0.7249631 1.1237454 0.8063104 0.9395556 1.3074429 0.7176060 0.3795916
## 38 0.5187340 0.4469998 0.9145138 0.5679510 1.3926856 0.6267953 0.4520086
## 39 1.8372571 1.4078913 1.1809265 1.0913566 0.7442422 1.2103467 1.5040377
## 40 0.7366014 0.8095477 0.4694430 0.4273140 0.9273560 0.2943447 0.2592702
## 41 0.5051537 0.5762550 0.5876413 0.4936662 1.1670579 0.3142124 0.2972919
## 42 3.2972671 2.9927206 2.4308298 2.5754803 1.7291366 2.6038044 2.8852072
## 43 1.4533475 0.9640603 0.9866556 0.7479385 0.8743258 0.9128481 1.1916094
## 44 0.5451495 0.8227299 0.4955334 0.6443891 1.2614739 0.3485446 0.5804553
## 45 0.3224602 0.9507445 1.1601635 1.0209293 1.8657697 0.9410956 0.7800697
## 46 1.6525439 1.4219114 0.8382817 0.9693461 0.2972919 0.9646652 1.2528739
## 47 0.3531180 0.8310631 1.2141024 1.0011649 1.8393939 0.9620948 0.7010908
## 48 1.3238510 0.9452723 0.7752522 0.5908537 0.6758146 0.7249631 1.0009797
## 49 0.3566247 0.9205793 1.0335720 0.9432249 1.6473280 0.8228272 0.4744817
## 50 0.9637610 0.8708727 0.4453853 0.4372600 0.6975467 0.3664958 0.5216255
## 51 3.4040855 4.0142211 3.0983179 3.5019105 3.4068057 3.2937848 3.3110888
## 52 2.9582503 3.5223654 2.5988977 3.0036639 2.9455811 2.8018378 2.8932001
## 53 3.5230999 4.1012582 3.1532230 3.5639848 3.4235479 3.3638706 3.4169003
## 54 3.7349670 3.8791289 2.8803027 3.2529155 2.6219790 3.1585119 3.4349984
## 55 3.5054872 3.9624592 2.9315928 3.3701230 3.0477378 3.1854271 3.3221136
## 56 3.0117818 3.3387106 2.3363020 2.7070420 2.3888240 2.5889018 2.8132678
## 57 2.9507101 3.5291593 2.6590822 3.0369831 3.0652338 2.8424569 2.9384715
## 58 3.2578140 3.2419281 2.3608760 2.6474147 1.9845532 2.6125304 2.9396605
## 59 3.3358770 3.8280724 2.8149273 3.2346558 2.9591786 3.0547622 3.1495655
## 60 2.9745290 3.1568698 2.2038135 2.5640999 2.1698081 2.4609453 2.7740951
## 61 4.1388350 4.1006852 3.2218433 3.5068892 2.7429361 3.4777802 3.7797941
## 62 2.8168265 3.2487410 2.2657994 2.6857248 2.5018567 2.5050610 2.6978905
## 63 3.9559937 4.1430574 3.1109842 3.4923515 2.7887380 3.3920672 3.5966925
## 64 3.1359666 3.5682063 2.5656905 2.9622408 2.7165309 2.8081182 2.9733244
## 65 2.5578630 2.8791409 1.8619241 2.2933111 1.9859077 2.1257148 2.3719245
## 66 3.1699011 3.7330134 2.7708226 3.1972699 3.0432924 2.9875442 3.0497110
## 67 2.8132678 3.1926537 2.2528435 2.6179303 2.4763875 2.4796247 2.7103653
## 68 2.9609462 3.2479267 2.2109260 2.5869434 2.1246722 2.4774585 2.6766759
## 69 4.3102992 4.5705658 3.5172036 3.9390595 3.3281119 3.8027830 4.0188164
## 70 3.2613013 3.4525865 2.4302531 2.8061890 2.2209500 2.7073120 2.9562748
## 71 3.0194875 3.5137923 2.6416950 3.0133150 3.0139600 2.8374749 3.0148039
## 72 3.0202199 3.4089280 2.3608017 2.8030954 2.4302548 2.6271793 2.8015539
## 73 3.9334437 4.2864194 3.2366608 3.6526397 3.1912208 3.5079089 3.6941393
## 74 3.1795449 3.5727229 2.5506342 2.9319914 2.6038711 2.8008790 2.9610194
## 75 3.1214418 3.5890831 2.5646922 2.9967201 2.7079476 2.8120836 2.9314538
## 76 3.2063157 3.7304778 2.7365210 3.1703937 2.9542727 2.9686052 3.0580293
## 77 3.7005454 4.1880216 3.1636345 3.5924425 3.2711041 3.4098693 3.5050942
## 78 3.6266226 4.1633291 3.1906417 3.6143240 3.4346552 3.4169003 3.5214833
## 79 3.0855674 3.5039071 2.5020903 2.9144462 2.6680506 2.7487517 2.9368540
## 80 2.9660283 3.1836300 2.1387455 2.5442291 1.9536560 2.4210409 2.6482700
## 81 3.4161299 3.5596361 2.5557239 2.9207703 2.2818423 2.8328116 3.0971012
## 82 3.3618136 3.4931248 2.4921538 2.8494863 2.1854573 2.7682281 3.0257292
## 83 2.9880143 3.2838343 2.2374196 2.6537405 2.1967674 2.5123024 2.7319064
## 84 3.6169435 3.9861953 2.9779818 3.3673015 3.0391680 3.2321873 3.4401181
## 85 2.7714861 3.1093443 2.2004461 2.5387425 2.4167787 2.4200957 2.6778862
## 86 2.6498190 3.2207760 2.4150235 2.7645571 2.8935729 2.5759597 2.6921213
## 87 3.3161655 3.8793279 2.9245868 3.3411146 3.2031082 3.1392431 3.2122055
## 88 4.0632298 4.3477073 3.2870440 3.7065688 3.1052054 3.5698353 3.7584214
## 89 2.5509231 2.9188560 1.9463366 2.3262173 2.1478378 2.1833330 2.4085516
## 90 3.3485578 3.5385098 2.5300596 2.9113516 2.3688561 2.8054779 3.0794762
## 91 3.2253249 3.4461166 2.4485222 2.7946629 2.3331876 2.7112247 2.9689658
## 92 2.9736448 3.4370856 2.4545831 2.8503758 2.6704225 2.6862699 2.8389230
## 93 3.1923112 3.4602029 2.4155194 2.8219612 2.3119405 2.6929619 2.9181133
## 94 3.4627745 3.4537105 2.5554046 2.8562106 2.1466607 2.8135590 3.1271940
## 95 3.0597034 3.3302496 2.3166077 2.7005037 2.2914187 2.5821755 2.8326753
## 96 2.5583411 2.9439263 1.9615590 2.3328464 2.1459290 2.1971785 2.3960400
## 97 2.7617502 3.1164770 2.1152653 2.5054639 2.2403327 2.3651479 2.5848519
## 98 3.0072209 3.4481619 2.4243814 2.8469817 2.5641029 2.6738470 2.8198821
## 99 3.0240946 3.0678039 2.1285475 2.4854155 1.8312849 2.3980249 2.7192756
## 100 2.8899867 3.2093338 2.1887997 2.5907444 2.2390502 2.4513829 2.6824745
## 101 4.1268240 4.6707313 3.8623868 4.2229298 4.2726838 4.0398162 4.1926383
## 102 3.7429577 4.0904851 3.1132874 3.5068083 3.2112611 3.3639488 3.6092573
## 103 4.4271216 4.9927812 4.0464792 4.4614686 4.3102394 4.2639337 4.3596528
## 104 3.7731370 4.2414901 3.2759471 3.6601218 3.4724306 3.5054783 3.6687850
## 105 4.1167389 4.6300894 3.7014241 4.1015043 3.9782604 3.9192700 4.0741328
## 106 5.0014709 5.5943709 4.6582667 5.0574518 4.9086028 4.8679922 4.9270722
## 107 3.6653664 3.7820534 2.9019651 3.2124834 2.8110211 3.1441505 3.4864932
## 108 4.6037188 5.1605142 4.1951927 4.5879712 4.3888709 4.4150642 4.4861979
## 109 4.5409287 4.9598528 3.9249503 4.3376646 3.9493532 4.1847805 4.3456400
## 110 4.5677690 5.2258991 4.4723962 4.8349039 4.9554535 4.6214189 4.6670325
## 111 3.5692168 4.1325207 3.2393213 3.6452385 3.6054684 3.4393341 3.5600187
## 112 4.0292320 4.4605215 3.4484584 3.8725128 3.5636141 3.7017968 3.8828741
## 113 4.1112525 4.6545660 3.7051759 4.1289069 3.9773514 3.9271225 4.0493292
## 114 4.0548619 4.3410379 3.3557335 3.7556950 3.3640188 3.6185532 3.8904789
## 115 4.0027040 4.3810364 3.4573760 3.8690653 3.6613191 3.6937627 3.9488511
## 116 3.8246152 4.3693226 3.5003764 3.9043346 3.8797307 3.6980250 3.8467924
## 117 3.7343587 4.2501730 3.2976712 3.6907809 3.5451828 3.5182135 3.6498040
## 118 4.9157725 5.6156980 4.9164097 5.2330865 5.4066127 5.0395234 5.0149996
## 119 5.6390086 6.1676084 5.1663729 5.5898490 5.2988685 5.4062626 5.5069116
## 120 4.3632831 4.6063439 3.5729683 3.9588364 3.3831145 3.8510120 4.0827418
## 121 4.2326153 4.8203608 3.9355613 4.3435017 4.2964901 4.1331472 4.2354841
## 122 3.5698623 3.9095419 2.9730606 3.3604905 3.1315572 3.2125785 3.4783118
## 123 5.2158814 5.7780815 4.8030768 5.2086337 4.9764595 5.0278384 5.0938823
## 124 3.8008950 4.2148905 3.1921347 3.6269527 3.2922782 3.4513615 3.6399348
## 125 3.9000476 4.4952334 3.6433399 4.0205064 4.0368379 3.8256676 3.9199306
## 126 4.1974958 4.8093002 3.9148677 4.2908284 4.2293953 4.1054955 4.1486782
## 127 3.5911374 4.0177250 3.0121624 3.4435800 3.1627097 3.2641132 3.4551855
## 128 3.3347587 3.8030597 2.8507597 3.2559275 3.1089128 3.0781235 3.2577477
## 129 4.1348110 4.5931949 3.6149082 4.0292441 3.7969274 3.8551033 4.0357037
## 130 4.1740257 4.7455735 3.7923647 4.1829094 4.0115588 4.0049721 4.0566316
## 131 4.7582749 5.3031208 4.3147128 4.7316279 4.4814138 4.5459790 4.6262355
## 132 4.8576919 5.5701103 4.8693725 5.1895928 5.3482435 4.9906649 4.9382734
## 133 4.2070257 4.6656927 3.6926334 4.1116976 3.8843155 3.9324578 4.1180279
## 134 3.5503640 3.9857872 2.9743405 3.3720928 3.0846273 3.2207399 3.3780790
## 135 3.8656042 4.2206265 3.2113175 3.5644023 3.1968144 3.4624998 3.6493314
## 136 5.0439438 5.6432903 4.7033434 5.1340072 4.9719200 4.9178515 4.9810865
## 137 3.8539152 4.4210617 3.6396266 4.0005982 4.0953095 3.8057320 3.9423223
## 138 3.5871142 4.1164743 3.1965117 3.5738128 3.4925676 3.4038854 3.5330920
## 139 3.2601417 3.7139257 2.7654249 3.1697226 3.0249790 2.9933264 3.1859058
## 140 4.0589453 4.6321320 3.7060629 4.1291053 4.0205064 3.9174405 4.0188417
## 141 4.2316961 4.7820397 3.8779088 4.2967330 4.2109445 4.0874667 4.2247102
## 142 4.1221658 4.6920448 3.7711773 4.2168035 4.1034901 3.9853241 4.0995115
## 143 3.7429577 4.0904851 3.1132874 3.5068083 3.2112611 3.3639488 3.6092573
## 144 4.2375159 4.8161943 3.9375728 4.3322822 4.2964325 4.1330873 4.2438192
## 145 4.2221466 4.8061064 3.9689273 4.3653186 4.3803648 4.1535387 4.2728668
## 146 4.1132825 4.6451336 3.7033344 4.1462962 3.9954722 3.9279859 4.0719310
## 147 4.1813150 4.5488769 3.5123868 3.9500513 3.5304777 3.7829120 3.9916745
## 148 3.7731760 4.2891510 3.3370224 3.7587223 3.6078649 3.5620924 3.7081240
## 149 3.6513769 4.2126969 3.4332008 3.7920537 3.8943899 3.5982155 3.7392669
## 150 3.3233798 3.7629782 2.8329132 3.2091983 3.0851914 3.0541630 3.2550719
## 29 30 31 32 33 34 35
## 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 0.7667981
## 31 0.8484761 0.2592702
## 32 0.3610957 0.9986036 1.0347978
## 33 1.6123422 2.1560692 2.3489336 1.6710672
## 34 1.8708394 2.4919722 2.6639354 1.8588773 0.4520086
## 35 0.7798708 0.3379073 0.1333894 0.9524579 2.3264122 2.6262779
## 36 0.5307731 0.4273140 0.4028842 0.7359458 2.0899873 2.3751123 0.3100027
## 37 0.4325508 1.1983229 1.2592387 0.3858795 1.4339607 1.6069959 1.1747545
## 38 0.5991783 0.9646652 1.1664318 0.8563038 1.2043234 1.5611437 1.1560071
## 39 1.3337043 0.6088380 0.5611223 1.5434558 2.7078626 3.0573868 0.6557953
## 40 0.1333894 0.6686542 0.7798708 0.4473254 1.6158657 1.8987721 0.7294317
## 41 0.3624815 0.8068963 0.9729459 0.5621610 1.4265199 1.7216973 0.9417153
## 42 2.6653586 2.0899873 1.8831176 2.7532606 4.2250167 4.5255780 1.9058263
## 43 1.0710367 0.4001682 0.5611223 1.3231056 2.2862696 2.6517115 0.6557953
## 44 0.6318168 0.9382824 1.0843966 0.5983583 1.5449188 1.7977879 1.0655391
## 45 1.0029209 1.4919816 1.6757707 1.0123210 0.8334064 1.1066196 1.6606478
## 46 1.0453461 0.5051537 0.2875493 1.1779783 2.5835066 2.8829820 0.2960431
## 47 0.9325321 1.4588634 1.6463538 1.0224996 0.7132600 1.0432510 1.6250449
## 48 0.8576509 0.1655887 0.3518639 1.1027084 2.1929560 2.5387032 0.4325508
## 49 0.7010908 1.3579974 1.5042425 0.7464351 0.9348753 1.1736593 1.4588634
## 50 0.3331252 0.4435393 0.5307731 0.5983583 1.8567557 2.1513285 0.4778513
## 51 3.3028328 3.6437732 3.5599790 2.9918420 3.8965986 3.8102611 3.4997875
## 52 2.8815216 3.1340373 3.0648920 2.5767385 3.5531960 3.5266936 3.0217204
## 53 3.3953151 3.6762052 3.5825612 3.0898596 4.0695762 4.0083973 3.5287123
## 54 3.2790568 3.0212471 2.8309616 3.1278468 4.6550821 4.8222305 2.8252422
## 55 3.2487410 3.3710751 3.2380942 2.9708551 4.2210927 4.2391040 3.1937025
## 56 2.7250573 2.6611840 2.5369958 2.5116508 3.8245018 3.9422891 2.5254211
## 57 2.9470808 3.2005232 3.1542294 2.6454401 3.5059928 3.4734698 3.1190380
## 58 2.7667585 2.3358182 2.1500549 2.6995627 4.2163092 4.4541515 2.1726633
## 59 3.0891612 3.2724812 3.1474350 2.8096149 4.0000568 4.0036112 3.0970407
## 60 2.6576838 2.4200254 2.2916225 2.4913997 3.8825266 4.0569322 2.3022311
## 61 3.5905333 3.1576879 2.9474424 3.5289439 5.0940251 5.3251972 2.9612184
## 62 2.6422282 2.7182005 2.6258856 2.3724911 3.5772200 3.6383619 2.5998251
## 63 3.4327717 3.2677641 3.0518158 3.2756674 4.8306470 4.9689333 3.0224810
## 64 2.9103660 2.9823516 2.8700998 2.6528589 3.8672694 3.9234842 2.8416620
## 65 2.2770597 2.2408029 2.1236966 2.0453728 3.4215080 3.5420351 2.1030686
## 66 3.0201994 3.2985494 3.2029710 2.7126146 3.7619884 3.7196363 3.1467975
## 67 2.6585881 2.6456217 2.5677768 2.4230531 3.5866377 3.6860421 2.5620401
## 68 2.5583411 2.4875096 2.3254481 2.3667354 3.7954329 3.9262589 2.3009290
## 69 3.8769446 3.7619884 3.5678451 3.6720273 5.1693282 5.2689725 3.5390797
## 70 2.8101051 2.6176676 2.4330998 2.6483350 4.1566808 4.3158416 2.4190988
## 71 3.0068017 3.1292465 3.0837306 2.7282146 3.6670025 3.6895489 3.0678522
## 72 2.7070420 2.7625295 2.6209438 2.4513829 3.8158934 3.8850703 2.5810832
## 73 3.5871960 3.5659464 3.4028799 3.3521714 4.7247002 4.7942939 3.3721895
## 74 2.8795717 2.9164320 2.7826880 2.6451948 3.9300829 4.0071971 2.7533475
## 75 2.8630965 3.0183389 2.8923898 2.5853944 3.8306804 3.8546482 2.8443478
## 76 3.0111685 3.2356719 3.1260296 2.7133272 3.8516243 3.8354823 3.0731969
## 77 3.4374992 3.6108270 3.4744317 3.1573830 4.3626193 4.3554078 3.4222055
## 78 3.4863943 3.6913689 3.5915909 3.1853685 4.2411768 4.2084714 3.5470190
## 79 2.8708618 2.9233324 2.8139104 2.6099047 3.8437805 3.9054896 2.7878295
## 80 2.5000135 2.3692383 2.1810980 2.3244864 3.8581988 4.0062658 2.1527688
## 81 2.9389580 2.6924739 2.4982193 2.7962858 4.3315261 4.5052160 2.4891592
## 82 2.8625264 2.6112898 2.4105018 2.7296632 4.2767623 4.4557327 2.3997739
## 83 2.6136167 2.5493644 2.3914982 2.4005131 3.8435499 3.9624982 2.3649510
## 84 3.3584382 3.3294173 3.2010450 3.1211390 4.3910896 4.4692842 3.1841951
## 85 2.6254686 2.5559016 2.4869926 2.4109855 3.5621573 3.6860421 2.4927974
## 86 2.7185707 2.9575999 2.9404063 2.4272485 3.2051897 3.1922790 2.9154572
## 87 3.1872222 3.4465492 3.3551895 2.8821795 3.8992956 3.8564848 3.3045213
## 88 3.6200003 3.5490114 3.3538860 3.4122225 4.8986025 4.9905986 3.3179108
## 89 2.3446663 2.3409456 2.2525964 2.1127989 3.3541265 3.4664499 2.2403327
## 90 2.9405309 2.7282854 2.5574401 2.7709086 4.2532875 4.4118049 2.5511075
## 91 2.8476749 2.6580590 2.5034997 2.6802312 4.0934055 4.2525706 2.5021655
## 92 2.7906831 2.9043912 2.8078132 2.5222531 3.6800748 3.7241394 2.7775829
## 93 2.7900194 2.6886966 2.5186942 2.5902242 4.0566730 4.1829182 2.4947881
## 94 2.9474424 2.5345215 2.3358182 2.8743291 4.4211592 4.6504433 2.3504486
## 95 2.7223120 2.5978965 2.4550777 2.5240888 3.9202086 4.0566473 2.4451430
## 96 2.3331876 2.3578238 2.2636982 2.1010276 3.3400042 3.4460234 2.2464372
## 97 2.5057817 2.4867572 2.3756437 2.2761037 3.5724153 3.6813654 2.3592019
## 98 2.7487517 2.8595468 2.7369494 2.4817833 3.7459881 3.7936304 2.6969655
## 99 2.5482993 2.1990124 2.0122834 2.4413630 3.9916030 4.2025160 2.0172817
## 100 2.5848519 2.5276007 2.3965001 2.3642300 3.7293442 3.8467084 2.3788538
## 101 4.2086006 4.3707570 4.3369726 3.9143760 4.6417017 4.5926056 4.3211109
## 102 3.5314916 3.4620325 3.3474878 3.2930178 4.5362168 4.6197221 3.3401226
## 103 4.3380219 4.5560424 4.4625299 4.0303320 4.9730273 4.9015008 4.4200772
## 104 3.6259229 3.7077838 3.6100384 3.3563270 4.4399088 4.4604719 3.5873909
## 105 4.0501854 4.1810165 4.1003116 3.7572231 4.7283622 4.7048159 4.0748069
## 106 4.9125174 5.1682931 5.0716926 4.6066656 5.4772684 5.3760199 5.0243471
## 107 3.3691650 3.0346146 2.9121899 3.2287802 4.5717182 4.7637788 2.9420392
## 108 4.4562574 4.6719483 4.5629094 4.1650412 5.1360274 5.0726420 4.5177857
## 109 4.2618843 4.2987771 4.1504738 4.0043846 5.2596561 5.2849717 4.1182028
## 110 4.7156693 5.0556984 5.0318204 4.3950112 4.8839972 4.7226191 4.9925739
## 111 3.5559528 3.7726180 3.7114488 3.2465585 4.1352682 4.0855476 3.6771488
## 112 3.8123801 3.8597711 3.7340103 3.5417410 4.7568094 4.7832652 3.7055914
## 113 4.0228419 4.2114338 4.1207194 3.7160565 4.7033494 4.6531753 4.0822872
## 114 3.7899279 3.6501630 3.5160082 3.5681920 4.8973532 5.0005848 3.5122368
## 115 3.8914514 3.8559279 3.7674208 3.6292833 4.7628161 4.8136885 3.7608781
## 116 3.8446996 4.0246804 3.9710735 3.5377985 4.3963384 4.3492662 3.9443630
## 117 3.6203949 3.7712947 3.6816192 3.3338598 4.3522670 4.3403399 3.6505565
## 118 5.0848424 5.5001312 5.4840938 4.7760406 5.0848690 4.8784536 5.4382472
## 119 5.4571988 5.6235734 5.4940991 5.1627782 6.2165859 6.1506962 5.4495145
## 120 3.9472375 3.7877020 3.6030520 3.7574393 5.2191809 5.3373271 3.5871960
## 121 4.2366142 4.4769501 4.4123256 3.9199306 4.7401798 4.6525034 4.3745887
## 122 3.4111268 3.3308509 3.2370021 3.1731656 4.3648543 4.4540986 3.2364218
## 123 5.0596731 5.2811572 5.1634986 4.7637093 5.7359338 5.6538434 5.1147791
## 124 3.5610369 3.5986221 3.4675998 3.2929506 4.5568878 4.5949832 3.4374873
## 125 3.9345528 4.1825544 4.1331472 3.6265718 4.3812489 4.3023717 4.0999573
## 126 4.1521512 4.4422458 4.3671020 3.8480237 4.6442863 4.5469484 4.3210809
## 127 3.3865945 3.4373923 3.3202825 3.1138906 4.3385205 4.3757530 3.2922782
## 128 3.2187890 3.3120494 3.2276923 2.9393558 4.0291537 4.0548619 3.2044349
## 129 3.9835867 4.0502588 3.9439663 3.7042819 4.8243784 4.8344752 3.9195279
## 130 4.0325803 4.2847947 4.1817399 3.7388713 4.6913296 4.6239028 4.1321027
## 131 4.5843432 4.7902019 4.6695431 4.2884957 5.3217414 5.2577907 4.6209172
## 132 5.0072639 5.4588181 5.4372973 4.6976493 5.0023365 4.7792650 5.3838519
## 133 4.0669660 4.1322930 4.0281658 3.7847203 4.8969684 4.9034069 4.0042413
## 134 3.3107985 3.3786626 3.2549659 3.0524792 4.2652787 4.3072122 3.2248581
## 135 3.5621805 3.5165539 3.3754080 3.3464606 4.6181897 4.7052330 3.3598676
## 136 4.9634585 5.2368276 5.1386777 4.6433311 5.5321332 5.4145342 5.0859363
## 137 3.9693338 4.1723735 4.1496735 3.6688076 4.3408539 4.2770459 4.1299862
## 138 3.5176986 3.6816192 3.6083816 3.2310836 4.1799822 4.1654293 3.5807581
## 139 3.1450374 3.2198334 3.1376458 2.8697079 3.9712914 4.0075011 3.1173669
## 140 4.0045143 4.2377206 4.1567459 3.6891783 4.6091072 4.5359916 4.1143275
## 141 4.2126072 4.3989604 4.3277532 3.9009302 4.8004402 4.7392139 4.2953200
## 142 4.0831100 4.3165305 4.2370622 3.7586235 4.6869629 4.6055262 4.1931608
## 143 3.5314916 3.4620325 3.3474878 3.2930178 4.5362168 4.6197221 3.3401226
## 144 4.2464588 4.4671115 4.4056540 3.9363520 4.7476290 4.6708460 4.3726650
## 145 4.2862852 4.5150079 4.4692775 3.9709160 4.7142941 4.6262228 4.4386017
## 146 4.0432114 4.2181923 4.1311581 3.7300501 4.7301054 4.6801544 4.0940349
## 147 3.8937377 3.8725128 3.7228986 3.6398446 4.9746642 5.0277701 3.6957357
## 148 3.6765636 3.8302783 3.7420165 3.3772834 4.4091029 4.3873011 3.7088647
## 149 3.7660307 3.9643299 3.9441309 3.4680748 4.1531677 4.0997562 3.9254931
## 150 3.2180758 3.2630864 3.1865961 2.9561895 4.0269905 4.0758213 3.1742670
## 36 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 0.9173543
## 38 0.9417153 0.7733522
## 39 0.8595196 1.7551549 1.5099526
## 40 0.5039975 0.5466384 0.5378705 1.2528517
## 41 0.7029623 0.6179044 0.3731971 1.3631432 0.3118788
## 42 2.1560692 3.0092121 3.0333308 1.6158657 2.6313826 2.8185746
## 43 0.7267908 1.4961191 1.1077957 0.4588563 0.9684988 1.0079499 2.0725383
## 44 0.8946860 0.8178382 0.7143842 1.4646545 0.5880598 0.4287007 2.8509905
## 45 1.4613729 0.9441634 0.7099379 2.0658556 0.9810127 0.7880693 3.5356948
## 46 0.5467463 1.4321164 1.4065461 0.5037468 0.9969308 1.1736593 1.6473280
## 47 1.4003104 0.8578791 0.5467463 2.0278737 0.9194593 0.7310345 3.5234211
## 48 0.4961615 1.2877229 0.9953200 0.5216255 0.7604949 0.8529340 2.0733123
## 49 1.2149348 0.5307731 0.5535324 1.9425108 0.7294317 0.6097954 3.3586182
## 50 0.2558771 0.7604949 0.7110069 1.0009797 0.2653865 0.4805930 2.3767084
## 51 3.4989913 3.1532677 3.6982349 4.0320210 3.3525695 3.4784182 4.3784274
## 52 3.0433074 2.8017386 3.2528158 3.4983964 2.9106725 3.0160546 3.9106000
## 53 3.5523497 3.2814891 3.8018247 4.0292742 3.4376124 3.5699027 4.2902572
## 54 3.0375368 3.4643457 3.7507905 2.9607071 3.2696549 3.4648007 2.3492251
## 55 3.2774756 3.2312388 3.7096713 3.6118270 3.2780964 3.4399983 3.6224928
## 56 2.6709453 2.8295100 3.1407664 2.8361545 2.7185681 2.8811378 2.9022610
## 57 3.1339631 2.8682612 3.2709786 3.5807108 2.9685232 3.0485254 4.0751898
## 58 2.4290032 3.0461856 3.1831328 2.1551465 2.7319045 2.9173004 1.5533592
## 59 3.1621716 3.0391983 3.5437788 3.5620685 3.1246892 3.2930372 3.6799582
## 60 2.4883840 2.8544269 3.0511011 2.4606524 2.6307087 2.7710953 2.4101141
## 61 3.2216213 3.8552114 4.0372033 2.9057557 3.5660357 3.7735776 1.7985631
## 62 2.6811644 2.6752105 3.0401643 2.9814138 2.6502140 2.7702723 3.2580420
## 63 3.2155038 3.5638689 3.9553674 3.2470138 3.4450238 3.6792352 2.5527789
## 64 2.9407147 2.9339343 3.3290525 3.2334750 2.9221122 3.0743660 3.3794283
## 65 2.2202937 2.3853003 2.7065523 2.4357407 2.2755812 2.4163294 2.6605016
## 66 3.1672983 2.9162520 3.4406224 3.6509889 3.0633924 3.1973909 3.9488902
## 67 2.6718655 2.7432160 3.0111147 2.8800663 2.6464312 2.7577850 3.1793543
## 68 2.4595860 2.6678454 3.0295821 2.6361932 2.5621521 2.7679115 2.5818677
## 69 3.7104032 3.9755532 4.3862090 3.7800327 3.8911711 4.0939216 3.1672983
## 70 2.6149006 2.9734995 3.2879273 2.6418522 2.8054779 3.0099063 2.2904099
## 71 3.1218972 3.0073570 3.3142505 3.4393341 3.0074263 3.0754812 3.8633668
## 72 2.6842595 2.7433858 3.1806545 2.9744215 2.7279133 2.8990248 3.0182544
## 73 3.5136438 3.6420659 4.0659513 3.6943510 3.6030520 3.7902048 3.4019051
## 74 2.8738401 2.9214634 3.3235519 3.1394212 2.8914430 3.0736867 3.1863875
## 75 2.9152284 2.8367027 3.3223135 3.2949661 2.8946512 3.0598325 3.4305827
## 76 3.1158347 2.9398698 3.4505739 3.5525784 3.0497110 3.1962133 3.7652453
## 77 3.4935091 3.3842747 3.9053590 3.8755947 3.4760129 3.6493746 3.8787001
## 78 3.5960513 3.4178427 3.8967989 3.9975580 3.5184096 3.6465274 4.1718453
## 79 2.8871116 2.9076201 3.2865070 3.1592407 2.8799349 3.0195612 3.3076762
## 80 2.3256445 2.6413305 3.0010619 2.4416238 2.5057777 2.7156443 2.2294166
## 81 2.7012530 3.1255146 3.4167668 2.6569361 2.9306551 3.1370114 2.1489881
## 82 2.6154379 3.0527049 3.3461105 2.5708899 2.8551253 3.0700861 2.0500581
## 83 2.5119265 2.7185375 3.0875714 2.6874824 2.6197982 2.8045561 2.6211147
## 84 3.3209321 3.4264517 3.7807287 3.4949067 3.3604728 3.5170504 3.4155564
## 85 2.6167135 2.7432160 2.9524229 2.7664229 2.6019719 2.7043858 3.0862506
## 86 2.9218039 2.6601994 2.9885757 3.3518759 2.7281503 2.7759202 3.9806003
## 87 3.3327266 3.0920156 3.5929217 3.7928557 3.2251977 3.3533446 4.0761925
## 88 3.4780516 3.6985850 4.1377095 3.6069891 3.6401237 3.8534900 3.0870864
## 89 2.3488063 2.4349397 2.7253137 2.5881420 2.3363731 2.4653441 2.9293066
## 90 2.7463133 3.1121779 3.3973284 2.7390677 2.9300429 3.1126843 2.3936181
## 91 2.6956743 3.0114081 3.2801522 2.7224607 2.8323154 3.0176405 2.5318083
## 92 2.8571311 2.7953462 3.1921347 3.1918213 2.8040756 2.9423997 3.4481619
## 93 2.6580590 2.9078093 3.2706058 2.7858746 2.7946629 2.9883848 2.5829936
## 94 2.6039022 3.2139512 3.3856832 2.3429388 2.9197489 3.1155602 1.5784617
## 95 2.6099047 2.8573932 3.1579274 2.7120334 2.7139904 2.8833463 2.6507956
## 96 2.3525235 2.4071044 2.7252008 2.6238411 2.3297411 2.4745509 2.9617825
## 97 2.4817323 2.5951114 2.9166537 2.7015961 2.5025729 2.6513075 2.9008430
## 98 2.7821215 2.7532166 3.1970417 3.1222484 2.7710981 2.9332948 3.2739679
## 99 2.2422412 2.7961742 2.9950110 2.0861588 2.5258203 2.7031902 1.6626757
## 100 2.5175638 2.6899772 3.0199231 2.6969655 2.5829840 2.7442313 2.7664001
## 101 4.3606908 4.1638190 4.4761749 4.6831567 4.2137550 4.2537239 5.0406181
## 102 3.4791156 3.6204837 3.9261303 3.5972236 3.5251621 3.6526743 3.5137923
## 103 4.4658635 4.2488691 4.7261225 4.8615926 4.3705382 4.4848702 4.9804159
## 104 3.6819943 3.6287481 4.0090366 3.9568787 3.6354367 3.7637152 4.0529048
## 105 4.1432666 4.0195838 4.4080844 4.4513132 4.0643061 4.1603818 4.5961105
## 106 5.0635814 4.7931924 5.2998245 5.4919125 4.9514553 5.0759290 5.5843286
## 107 3.1560982 3.5982367 3.7227768 2.9730606 3.3290550 3.4551036 2.6652052
## 108 4.5761553 4.3644731 4.8639813 4.9745484 4.4915547 4.6373206 5.0223107
## 109 4.2414901 4.2741171 4.7202672 4.4648667 4.2821228 4.4552405 4.1999791
## 110 4.9709497 4.5569373 4.9716432 5.4614056 4.7473191 4.7785976 5.9372623
## 111 3.7065758 3.4845915 3.8964166 4.1051503 3.5783109 3.6555365 4.4390305
## 112 3.8134940 3.8286461 4.2429146 4.0516299 3.8277600 3.9708544 3.9556818
## 113 4.1330873 3.9565828 4.4089169 4.5026894 4.0502588 4.1567062 4.6401697
## 114 3.6747921 3.9104548 4.2041216 3.7081240 3.7810236 3.9173363 3.4172801
## 115 3.8712732 3.9591146 4.2482969 4.0041325 3.8857084 3.9669385 4.0005753
## 116 3.9803210 3.7920484 4.1635014 4.3322822 3.8599508 3.9180471 4.6419070
## 117 3.7190601 3.5834421 3.9995966 4.0617967 3.6388316 3.7590520 4.2362634
## 118 5.3961296 4.8758801 5.3149287 5.9575533 5.1246906 5.1648798 6.5075225
## 119 5.5265444 5.3829113 5.8936301 5.8632324 5.4931789 5.6429679 5.6881821
## 120 3.7768486 4.0696564 4.4287480 3.7952655 3.9497813 4.1503732 3.1946059
## 121 4.3992226 4.1394414 4.5759635 4.8091816 4.2645716 4.3400029 5.0755316
## 122 3.3670173 3.5112890 3.7719651 3.4707279 3.3978850 3.4981680 3.4947826
## 123 5.1727550 4.9569772 5.4799437 5.5701103 5.0997181 5.2480706 5.5300238
## 124 3.5468014 3.5870746 4.0033911 3.7819882 3.5770089 3.7235525 3.6876468
## 125 4.1205392 3.8388163 4.2446256 4.5403139 3.9572770 4.0267024 4.9103306
## 126 4.3425950 4.0228323 4.5079146 4.8102975 4.1888279 4.3004022 5.0849158
## 127 3.3922288 3.4104182 3.8101347 3.6431872 3.4000414 3.5331082 3.6516033
## 128 3.2824375 3.2258184 3.5916718 3.5748661 3.2274257 3.3334619 3.7873569
## 129 4.0157831 3.9883870 4.3812489 4.2650648 3.9958997 4.1167389 4.2533008
## 130 4.1752492 3.9245684 4.4378926 4.6157637 4.0719110 4.2167953 4.7558051
## 131 4.6820171 4.4957240 5.0148542 5.0698630 4.6232067 4.7727419 5.0379035
## 132 5.3304266 4.7746223 5.2508757 5.9293287 5.0554043 5.1048325 6.4825039
## 133 4.0985075 4.0716680 4.4610553 4.3430435 4.0790273 4.1933716 4.3275159
## 134 3.3311295 3.3249163 3.7408188 3.6080149 3.3260427 3.4865565 3.6267433
## 135 3.5143388 3.6332430 3.9916334 3.6699764 3.5636888 3.7475606 3.4961602
## 136 5.1124461 4.8330316 5.3616771 5.5556680 5.0081194 5.1210885 5.6383558
## 137 4.1494725 3.9050908 4.2230867 4.5133884 3.9780264 4.0051137 4.9616423
## 138 3.6401328 3.4771008 3.8685483 3.9941076 3.5325448 3.6378300 4.2622435
## 139 3.1990441 3.1650666 3.5132978 3.4742721 3.1502674 3.2523642 3.6965037
## 140 4.1462438 3.9125734 4.3781708 4.5579722 4.0364662 4.1325207 4.7686296
## 141 4.3370800 4.1480110 4.5614217 4.6937394 4.2345971 4.3105159 4.8939732
## 142 4.2176394 3.9905675 4.4579007 4.6250956 4.1167907 4.1982472 4.8257000
## 143 3.4791156 3.6204837 3.9261303 3.5972236 3.5251621 3.6526743 3.5137923
## 144 4.4049980 4.1615892 4.5755274 4.7949176 4.2694355 4.3443800 5.0648984
## 145 4.4576203 4.1985766 4.5876000 4.8482972 4.3071541 4.3552468 5.1831641
## 146 4.1412402 3.9858623 4.4254032 4.4928743 4.0692731 4.1588548 4.6263597
## 147 3.8277600 3.9451590 4.3546378 3.9934778 3.9075291 4.0654146 3.7060629
## 148 3.7686550 3.6375355 4.0589999 4.1095985 3.6973247 3.8016093 4.2740716
## 149 3.9448056 3.7083389 4.0174510 4.3071888 3.7730279 3.7988899 4.7814940
## 150 3.2678443 3.2540981 3.5665824 3.5101611 3.2156670 3.3171588 3.7341628
## 43 44 45 46 47 48 49
## 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 1.1414974
## 45 1.6715010 0.7655364
## 46 0.6814030 1.2417756 1.8967012
## 47 1.6243238 0.8739014 0.3126127 1.8788527
## 48 0.2480807 0.9976453 1.5519686 0.5348792 1.5074390
## 49 1.5843149 0.7876524 0.4807928 1.7216973 0.3379073 1.4260947
## 50 0.7621431 0.7062360 1.2163823 0.7411357 1.1590305 0.5347688 0.9882608
## 51 4.0058263 3.2392267 3.3758938 3.5841657 3.5667844 3.7912091 3.3608144
## 52 3.4681736 2.7248891 2.9345269 3.0832226 3.1570681 3.2737894 2.9794926
## 53 4.0292742 3.3159653 3.5035731 3.5907537 3.7023871 3.8219331 3.4995269
## 54 3.2326737 3.2613013 3.8582394 2.6803429 4.0009600 3.1139611 3.8030821
## 55 3.6982349 3.1847716 3.5417610 3.1921294 3.7308116 3.5073719 3.5151440
## 56 2.9454065 2.6145609 3.0581255 2.4893360 3.2511644 2.7880520 3.0769489
## 57 3.5214189 2.7349892 2.9000476 3.1872222 3.1421745 3.3369686 2.9933264
## 58 2.4735602 2.7543543 3.4093712 1.9777066 3.5219551 2.4000022 3.3571238
## 59 3.6206947 3.0593813 3.3583376 3.1280831 3.5377427 3.4169885 3.3166014
## 60 2.6262153 2.4952347 3.0640544 2.1898099 3.2495679 2.5149561 3.0992143
## 61 3.2801610 3.6437900 4.3023447 2.7532848 4.3964796 3.2140000 4.2105282
## 62 3.0165175 2.4618297 2.8429350 2.5997918 3.0627029 2.8460105 2.8900378
## 63 3.5267607 3.5323960 4.0854858 2.9122961 4.1959893 3.3753429 3.9579197
## 64 3.2979477 2.8008790 3.1557837 2.8450734 3.3592057 3.1189898 3.1727871
## 65 2.5207005 2.1323473 2.6362351 2.0640459 2.8274353 2.3596275 2.6453324
## 66 3.6509889 2.9452108 3.1685048 3.2074966 3.3625814 3.4424703 3.1512780
## 67 2.9163900 2.4359420 2.8258147 2.5486521 3.0562820 2.7679379 2.9167256
## 68 2.7913636 2.5657610 3.0424440 2.2615938 3.1923112 2.6185611 2.9831383
## 69 4.0228832 3.8844085 4.4149325 3.4335800 4.5658799 3.8716570 4.3383731
## 70 2.8710064 2.8136400 3.3744988 2.3143959 3.5145364 2.7271478 3.3096094
## 71 3.4085877 2.7238670 2.9833695 3.0914934 3.2435203 3.2527466 3.1211617
## 72 3.0787709 2.6524681 3.0872947 2.5623453 3.2639023 2.8940273 3.0471582
## 73 3.8615442 3.5520519 3.9958001 3.3176365 4.1712186 3.6923781 3.9568227
## 74 3.2384584 2.8367738 3.2155038 2.7502534 3.3951531 3.0560189 3.1943864
## 75 3.3582585 2.8171006 3.1576526 2.8646061 3.3391916 3.1591462 3.1195895
## 76 3.5820891 2.9439323 3.2213173 3.1138076 3.4123915 3.3779548 3.1970417
## 77 3.9562459 3.4193389 3.7280455 3.4403788 3.9042117 3.7534992 3.6766808
## 78 4.0238066 3.3649354 3.6186719 3.5772906 3.8320201 3.8305865 3.6388473
## 79 3.2251977 2.7287699 3.1139611 2.7775829 3.3245127 3.0536387 3.1432783
## 80 2.6484471 2.5322011 3.0896427 2.0692985 3.2194339 2.4852094 2.9979278
## 81 2.9211562 2.9524783 3.5428866 2.3578472 3.6738965 2.7915164 3.4706925
## 82 2.8431178 2.9024540 3.4942187 2.2694602 3.6148215 2.7109310 3.4071554
## 83 2.8398518 2.5728001 3.0771473 2.3090786 3.2407415 2.6725915 3.0327930
## 84 3.6133875 3.2371727 3.6489487 3.1425479 3.8541959 3.4555565 3.6756766
## 85 2.8042191 2.3753185 2.7842213 2.4672417 3.0178666 2.6714162 2.8966563
## 86 3.2562900 2.4353437 2.5828658 2.9891159 2.8452895 3.0864598 2.7294430
## 87 3.7928557 3.0878549 3.3031937 3.3601179 3.5078807 3.5899000 3.3087883
## 88 3.8333749 3.6610945 4.1645147 3.2357053 4.3060269 3.6672858 4.0689815
## 89 2.6285031 2.1656200 2.5846950 2.2346907 2.7967073 2.4679647 2.6386226
## 90 2.9607071 2.8844490 3.4551879 2.4332989 3.6138613 2.8306114 3.4243678
## 91 2.9093879 2.7863328 3.3045792 2.4164013 3.4713229 2.7722627 3.2935286
## 92 3.2246352 2.6589785 2.9812153 2.7987896 3.1927548 3.0424215 3.0124499
## 93 2.9688117 2.7685655 3.2880177 2.4215618 3.4443990 2.8080976 3.2342627
## 94 2.6783867 2.9635352 3.6202959 2.1539173 3.7265128 2.5994097 3.5481545
## 95 2.8630965 2.6280070 3.1345456 2.3757253 3.3144462 2.7152763 3.1331941
## 96 2.6636613 2.1953146 2.5870595 2.2563778 2.7900194 2.4924204 2.6216499
## 97 2.7784383 2.3711107 2.8071884 2.3389948 3.0067398 2.6147252 2.8326753
## 98 3.1889706 2.6791229 3.0447904 2.7075711 3.2326737 2.9980841 3.0246467
## 99 2.3696736 2.5174502 3.1823495 1.8358148 3.3043591 2.2714416 3.1231797
## 100 2.8116312 2.4784660 2.9556745 2.3350195 3.1427592 2.6511802 2.9578385
## 101 4.6379800 3.8860140 4.0497569 4.3446072 4.3282131 4.4902554 4.2312651
## 102 3.7124404 3.3379434 3.7738944 3.2758698 3.9986018 3.5753581 3.8420384
## 103 4.8831989 4.1896693 4.3944004 4.4485375 4.6204994 4.6943480 4.4418766
## 104 4.0097366 3.4601140 3.7590161 3.5870848 3.9880023 3.8412491 3.8246004
## 105 4.4749009 3.8293641 4.0846739 4.0792902 4.3327142 4.3095753 4.1829724
## 106 5.5110482 4.8030768 4.9544282 5.0682571 5.1690807 5.3128451 4.9853684
## 107 3.1784248 3.1716932 3.7459360 2.7906595 3.9402233 3.1091606 3.8175596
## 108 5.0166952 4.3791326 4.5725446 4.5546452 4.7767039 4.8183151 4.5827809
## 109 4.6041644 4.1973202 4.5698389 4.0823775 4.7640209 4.4305034 4.5582560
## 110 5.3641593 4.4522668 4.4601427 5.0709128 4.7164631 5.1859721 4.6056949
## 111 4.0794252 3.3255848 3.5278155 3.7138188 3.7763561 3.9031188 3.6264770
## 112 4.1542630 3.6781808 4.0516557 3.6734389 4.2662582 3.9869822 4.0787531
## 113 4.5260094 3.8463606 4.0885735 4.0993046 4.3217679 4.3447336 4.1482845
## 114 3.8747230 3.6140482 4.1122588 3.4103012 4.3251361 3.7522264 4.1618040
## 115 4.0822450 3.6083365 4.0185709 3.6948975 4.2707938 3.9579915 4.1373176
## 116 4.3079137 3.5636141 3.7792211 3.9635118 4.0426404 4.1468356 3.9121071
## 117 4.0876328 3.4578263 3.7093761 3.6717242 3.9388041 3.9084136 3.7709110
## 118 5.8325464 4.8844603 4.7779284 5.5552730 5.0089655 5.6399039 4.9004609
## 119 5.9523307 5.3743166 5.6279792 5.4496653 5.8346070 5.7625795 5.6317814
## 120 4.0371998 3.9316364 4.4522837 3.4793844 4.6124538 3.8973969 4.4042833
## 121 4.7872413 4.0133356 4.1793751 4.4113447 4.4277105 4.6085201 4.2778800
## 122 3.5605617 3.1578876 3.5947923 3.1700175 3.8339807 3.4362884 3.6987781
## 123 5.6265244 4.9930704 5.1886361 5.1442776 5.3893773 5.4265731 5.1882005
## 124 3.8917388 3.4360524 3.8380585 3.3998012 4.0459705 3.7239446 3.8519875
## 125 4.4937014 3.7002848 3.8284776 4.1531158 4.0812979 4.3163411 3.9464635
## 126 4.7883623 4.0278134 4.1345012 4.3901648 4.3525941 4.5885654 4.1815022
## 127 3.7288685 3.2316746 3.6194689 3.2636045 3.8367284 3.5624914 3.6531641
## 128 3.6041943 3.0089169 3.3299673 3.2044065 3.5676135 3.4393341 3.4100280
## 129 4.3384819 3.8006011 4.1346797 3.8962965 4.3676166 4.1762779 4.1995084
## 130 4.6385152 3.9694118 4.1424042 4.1858740 4.3398488 4.4334161 4.1413510
## 131 5.1317793 4.5151262 4.7446534 4.6436962 4.9447761 4.9334156 4.7391292
## 132 5.8037138 4.8482557 4.7263057 5.5118340 4.9400048 5.6013924 4.8158598
## 133 4.4151641 3.8701584 4.2068967 3.9771790 4.4437961 4.2558837 4.2786820
## 134 3.6945120 3.2200915 3.5682428 3.2192264 3.7687544 3.5154965 3.5762482
## 135 3.8107050 3.5020171 3.8926031 3.3241612 4.0805557 3.6490203 3.8955342
## 136 5.5745848 4.8393977 5.0101273 5.1223185 5.2264552 5.3762832 5.0358627
## 137 4.4428625 3.6370534 3.7709321 4.1682640 4.0505512 4.2914140 3.9568603
## 138 3.9941076 3.3256425 3.5462868 3.6128841 3.7856117 3.8181389 3.6331884
## 139 3.5044423 2.9221122 3.2591811 3.1116248 3.4988844 3.3443492 3.3458234
## 140 4.5579722 3.8227299 4.0260987 4.1466787 4.2604532 4.3720868 4.0893238
## 141 4.6937394 3.9708651 4.1940842 4.3090903 4.4471765 4.5249372 4.2986036
## 142 4.6250956 3.8745374 4.0992316 4.2144692 4.3388502 4.4441867 4.1686300
## 143 3.7124404 3.3379434 3.7738944 3.2758698 3.9986018 3.5753581 3.8420384
## 144 4.7729117 4.0132740 4.1781984 4.4075848 4.4309472 4.5985828 4.2895339
## 145 4.8046735 4.0041072 4.1561269 4.4723835 4.4213717 4.6392172 4.2972211
## 146 4.5162450 3.8293053 4.1000176 4.0967162 4.3418106 4.3435017 4.1738457
## 147 4.1486335 3.7877020 4.2369993 3.6279798 4.4361522 3.9908488 4.2359469
## 148 4.1351359 3.4827499 3.7587110 3.7178721 3.9953154 3.9604996 3.8273860
## 149 4.2332290 3.4293677 3.5708771 3.9647893 3.8510838 4.0827204 3.7584736
## 150 3.5400255 2.9844008 3.3108272 3.1670633 3.5551748 3.3873909 3.4160209
## 50 51 52 53 54 55 56
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
## 16
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## 20
## 21
## 22
## 23
## 24
## 25
## 26
## 27
## 28
## 29
## 30
## 31
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## 34
## 35
## 36
## 37
## 38
## 39
## 40
## 41
## 42
## 43
## 44
## 45
## 46
## 47
## 48
## 49
## 50
## 51 3.4437131
## 52 2.9838919 0.7450257
## 53 3.5092749 0.3118788 0.6845254
## 54 3.1432739 2.7783843 2.3651587 2.5604643
## 55 3.2851179 1.1077957 0.9273560 0.8578791 1.7200808
## 56 2.6827109 1.8267189 1.2750088 1.6413374 1.2060228 1.0027047
## 57 3.0549418 0.9143787 0.3118788 0.8749928 2.5513197 1.1809689 1.4172817
## 58 2.5569853 3.2717840 2.7463636 3.1087807 0.9432898 2.3554712 1.5467875
## 59 3.1534438 0.8529340 0.7772552 0.6629704 1.9429620 0.3688728 1.1122644
## 60 2.5371901 2.4992896 1.8838072 2.3227171 0.9969308 1.6406540 0.7415967
## 61 3.3782225 3.7617486 3.3450519 3.5627373 1.0360779 2.7328935 2.1352260
## 62 2.6607499 1.4396601 0.7771899 1.2916089 1.7012493 0.8870785 0.6054840
## 63 3.3314081 2.6748325 2.4510366 2.4769172 0.7563963 1.6749170 1.5037698
## 64 2.9291373 1.2864763 0.7968920 1.0834935 1.6107167 0.5535324 0.5621610
## 65 2.2367255 1.9333005 1.3175237 1.8128339 1.4003104 1.2742311 0.5719672
## 66 3.1291819 0.4612720 0.4520086 0.3946778 2.3531690 0.7497453 1.3973309
## 67 2.6441076 1.7604023 1.0695376 1.6026973 1.6561644 1.1811198 0.5421983
## 68 2.5038311 1.9511285 1.5240010 1.8006928 1.0637495 1.1303779 0.5229417
## 69 3.8028579 2.4954232 2.3069597 2.2426698 0.9572420 1.4245719 1.5259039
## 70 2.7006541 2.4078878 1.9757265 2.2261806 0.5451495 1.4448683 0.8201755
## 71 3.0577157 1.4294160 0.7405259 1.2919471 2.2655289 1.2389318 1.1660618
## 72 2.7078436 1.4825426 1.0594907 1.3175237 1.3568154 0.6463040 0.5599681
## 73 3.5599385 1.8231509 1.6263929 1.5556214 1.2135412 0.7489668 1.0578000
## 74 2.8803254 1.4464883 1.0682649 1.2549249 1.4196472 0.6256621 0.5132132
## 75 2.9123775 1.0331052 0.7452633 0.8714999 1.7621318 0.4061376 0.8832203
## 76 3.0941399 0.6875828 0.5378705 0.5304024 2.1005757 0.5051537 1.1883835
## 77 3.4970112 0.9506527 1.0590699 0.7132600 2.0007935 0.4016234 1.3456333
## 78 3.5664893 0.7249741 0.7006234 0.4278170 2.2968610 0.6237576 1.4228615
## 79 2.8797791 1.4007714 0.8408781 1.2013235 1.5519686 0.6484139 0.5027299
## 80 2.4105018 2.2576701 1.8332296 2.1154761 0.8758985 1.4008863 0.8284615
## 81 2.8054779 2.6580001 2.2321951 2.4700839 0.3664958 1.6677324 1.0614219
## 82 2.7253054 2.6919167 2.2772204 2.5159540 0.4862320 1.7293893 1.1228573
## 83 2.5602838 1.9209932 1.4530568 1.7557427 0.9969308 1.0389345 0.4471633
## 84 3.3346422 1.7013227 1.2969219 1.4330142 1.3228674 0.7174030 0.6740307
## 85 2.5883643 1.9935002 1.2918694 1.8399266 1.6561644 1.4065543 0.6408191
## 86 2.8228141 1.3231056 0.6790442 1.3128504 2.6398547 1.5099526 1.4768547
## 87 3.2906778 0.4484448 0.4435393 0.2667788 2.3864062 0.7316280 1.4190824
## 88 3.5635713 2.2414988 2.0857273 2.0106894 0.9923230 1.2066271 1.3579974
## 89 2.3282342 1.7893303 1.1243221 1.6707826 1.6115271 1.2413319 0.5258100
## 90 2.8258147 2.4566291 1.9772664 2.2543588 0.4588563 1.4548132 0.7824925
## 91 2.7482783 2.2965231 1.7984272 2.0998761 0.7364037 1.3552366 0.5378705
## 92 2.8289225 1.1811198 0.6018501 1.0159188 1.7991600 0.6790442 0.6814030
## 93 2.7208445 2.0545293 1.6294433 1.8695983 0.7887972 1.0934259 0.5679510
## 94 2.7429361 3.3168463 2.8309746 3.1440912 0.8226402 2.3600600 1.6271234
## 95 2.6492213 2.0668303 1.5319988 1.8796115 0.9325321 1.1636634 0.3100027
## 96 2.3292304 1.6805586 1.0530614 1.5699820 1.6332817 1.1619629 0.5065977
## 97 2.4809710 1.7423630 1.1340490 1.5927014 1.4021815 1.0517549 0.2855134
## 98 2.7791341 1.2147642 0.7834236 1.0533388 1.6243238 0.5306769 0.6557953
## 99 2.3662197 2.9876850 2.4579024 2.8379399 0.9130341 2.1045267 1.3377641
## 100 2.5401693 1.8546127 1.2949868 1.6876073 1.1736593 1.0403997 0.2265906
## 101 4.2848224 1.8417789 1.5844204 1.6867130 3.1558091 1.9298638 2.2453111
## 102 3.4922047 1.9742408 1.4939393 1.7014856 1.4076039 1.0596464 0.8957445
## 103 4.4290716 1.2371690 1.4743555 1.0254183 2.9279077 1.3774953 2.1907674
## 104 3.6569936 1.3128786 1.0156312 1.0235759 2.0199219 0.7660102 1.1816196
## 105 4.1051470 1.4369984 1.2691773 1.1786719 2.5439023 1.2312608 1.7550947
## 106 5.0222250 1.6544977 2.0845568 1.5212644 3.5044919 1.9693611 2.8270088
## 107 3.2155511 3.0295893 2.4350405 2.8015427 1.0445924 2.0686317 1.2971050
## 108 4.5461926 1.3045561 1.6880838 1.1080382 2.9576868 1.4381554 2.2926128
## 109 4.2664019 1.8368856 1.8459951 1.5388653 1.9443772 1.0719440 1.7043223
## 110 4.8709096 1.9005475 2.0780286 1.9053681 4.1235931 2.5547129 3.1543758
## 111 3.6474073 1.0176209 0.7485948 0.8538744 2.6369766 1.1630599 1.6536157
## 112 3.8220824 1.5449137 1.3404065 1.2383531 1.7847719 0.7069966 1.2618360
## 113 4.0995723 1.1478771 1.1766052 0.8957445 2.6205795 1.1051440 1.8432631
## 114 3.7173553 2.3858709 1.9504727 2.1044008 1.1971400 1.3743102 1.1820845
## 115 3.8694612 2.1713487 1.6961332 1.9092776 1.9794099 1.4795141 1.4875147
## 116 3.9220096 1.4264191 1.1432018 1.2530412 2.7763953 1.4544952 1.8663672
## 117 3.6817780 1.0275704 0.8372169 0.7459248 2.2781368 0.7908086 1.3766243
## 118 5.2769376 2.2348751 2.5992498 2.3228549 4.7576672 3.1019842 3.7476000
## 119 5.5234203 2.3572898 2.7036080 2.1527688 3.4571906 2.2604619 3.1005757
## 120 3.8594096 2.6015760 2.3616292 2.3341196 0.8983170 1.5201578 1.4748783
## 121 4.3406244 1.3151473 1.3886041 1.1659964 3.1257927 1.6016734 2.2639571
## 122 3.3687463 2.0816020 1.5023945 1.8353968 1.5600659 1.2808022 0.9535678
## 123 5.1515041 1.8601072 2.3000603 1.6961978 3.3995842 1.9863286 2.8687993
## 124 3.5632458 1.5227466 1.2396624 1.2337407 1.5702775 0.5429150 1.0292155
## 125 4.0449264 1.1610992 1.1249870 1.0458834 3.0647540 1.5434266 2.0827713
## 126 4.2787247 0.9359664 1.3454666 0.8526891 3.1925227 1.5299218 2.2969217
## 127 3.3958354 1.4332311 1.0413049 1.1603677 1.6328497 0.5468030 0.9076139
## 128 3.2519983 1.2961694 0.7403040 1.0681304 1.9479364 0.7922587 0.9620399
## 129 4.0060341 1.5717832 1.3601819 1.2708987 2.1024385 0.9772892 1.4847309
## 130 4.1374243 0.8520646 1.3051574 0.6789906 2.8264011 1.1850972 2.0467330
## 131 4.6667869 1.4610887 1.8432176 1.2553103 2.9352069 1.4760370 2.3781965
## 132 5.2134259 2.1501700 2.6009638 2.2781368 4.7890882 3.0971177 3.7847157
## 133 4.0889557 1.6518702 1.4400849 1.3560727 2.1709085 1.0857457 1.5801967
## 134 3.3290236 1.2748946 0.9860541 1.0057769 1.6451211 0.3722352 0.8422496
## 135 3.5331178 1.8265140 1.5593881 1.5568378 1.3555279 0.8843058 0.9216207
## 136 5.0778117 1.7170447 2.1443501 1.5967548 3.5740839 2.0332646 2.9303078
## 137 4.0630370 1.7047673 1.4168802 1.5969105 3.1947706 1.9152822 2.2115233
## 138 3.5873909 1.0287909 0.7269364 0.7968817 2.3879646 0.9503412 1.3926680
## 139 3.1698289 1.3955357 0.7922587 1.1798456 1.8919520 0.8619066 0.8949702
## 140 4.1015827 1.0333559 1.1387589 0.8365636 2.8209393 1.2377657 1.9837494
## 141 4.2914140 1.4713832 1.4022510 1.2687423 2.8936026 1.4990328 2.0983304
## 142 4.1783529 1.2299176 1.2783940 1.0556387 2.8873243 1.3743497 2.1001127
## 143 3.4922047 1.9742408 1.4939393 1.7014856 1.4076039 1.0596464 0.8957445
## 144 4.3435236 1.3836755 1.4013683 1.2205138 3.0996553 1.6178076 2.2264188
## 145 4.3878200 1.6085337 1.5385489 1.4816914 3.2817128 1.8664680 2.3905769
## 146 4.1124761 1.3476498 1.2651400 1.1141769 2.6196435 1.2189930 1.8834323
## 147 3.8686406 1.9372662 1.7173872 1.6427268 1.4437524 0.9267137 1.3032997
## 148 3.7370242 1.1291510 0.9014764 0.8632185 2.3115057 0.8696893 1.4644159
## 149 3.8571117 1.6417316 1.2768504 1.5395134 3.0714530 1.8256797 2.0592751
## 150 3.2333004 1.5172058 0.9195486 1.2956675 1.9055547 0.9852373 0.9026044
## 57 58 59 60 61 62 63
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
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## 15
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## 53
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## 57
## 58 2.8932006
## 59 1.0637495 2.4955681
## 60 1.9833805 0.9979460 1.8009496
## 61 3.5273308 0.9325321 2.9223712 1.7217112
## 62 0.8969456 2.0108538 0.9420359 1.1110502 2.6518938
## 63 2.6976320 1.4602824 1.8370272 1.5899330 1.3225546 1.9561425
## 64 0.9845698 2.0785417 0.6204957 1.2638070 2.6011018 0.4565170 1.7396648
## 65 1.4491338 1.4880596 1.3338940 0.6999869 2.2241287 0.6068441 1.7374735
## 66 0.7359458 2.8227713 0.5051537 2.0503097 3.3345362 1.0079912 2.3032482
## 67 1.1038061 1.8713430 1.2582010 0.9164114 2.5573282 0.4001682 2.0279641
## 68 1.7305125 1.3639628 1.1743246 0.9017960 1.9047600 0.9601126 1.1736593
## 69 2.5325367 1.8888051 1.6984176 1.7050054 1.7497989 1.8785421 0.7542194
## 70 2.1723379 0.9486708 1.5895468 0.7738173 1.3818476 1.3234239 0.8529340
## 71 0.5983583 2.5788982 1.2772879 1.6018261 3.2256635 0.6935238 2.5661688
## 72 1.2986184 1.8039963 0.7299001 1.1199748 2.3170132 0.5920862 1.4368123
## 73 1.8435925 2.0403034 1.0349769 1.5209514 2.1999621 1.3063351 1.1380698
## 74 1.2843876 1.9078946 0.6615528 1.2280645 2.3799913 0.7099379 1.4613729
## 75 1.0310321 2.2523500 0.2953231 1.5424550 2.7353823 0.6994903 1.7309972
## 76 0.8382817 2.6025605 0.2875493 1.8472627 3.0874722 0.8629324 2.0543927
## 77 1.3238510 2.6653966 0.3755259 2.0114694 2.9852348 1.2347343 1.8190825
## 78 0.8678526 2.8966943 0.6276533 2.0732275 3.3232241 1.0988999 2.2907752
## 79 1.0017474 1.9932252 0.7727037 1.1298870 2.5442447 0.3100027 1.7577652
## 80 2.0459587 1.0755215 1.4826357 0.8625307 1.6154093 1.2198600 1.0264864
## 81 2.4263542 0.7889559 1.8316081 0.8735572 1.1193226 1.5668472 0.7779401
## 82 2.4773961 0.7591833 1.8695983 0.9450977 1.1043671 1.6244366 0.7771899
## 83 1.6553833 1.3562411 1.1481991 0.7706244 1.9059847 0.8198192 1.2026313
## 84 1.4413672 1.9742565 0.9852373 1.2100816 2.3406648 0.8749036 1.5244115
## 85 1.2981019 1.7753631 1.4915616 0.8153555 2.4996504 0.6272758 2.0986457
## 86 0.4435393 2.8478183 1.4138814 1.9227472 3.5659213 0.9501960 2.8774306
## 87 0.6790442 2.8919912 0.5451495 2.0847375 3.3876540 1.0325807 2.3591845
## 88 2.3339907 1.8585598 1.4279467 1.6444661 1.8311807 1.7012493 0.6246105
## 89 1.2077941 1.7233177 1.2614431 0.8585588 2.4615382 0.4508980 1.9391336
## 90 2.1480899 0.9432898 1.6499563 0.6018501 1.3840715 1.2770882 0.9966110
## 91 1.9536769 1.0921057 1.5061274 0.5770279 1.6088219 1.1150230 1.1519463
## 92 0.7772552 2.1937875 0.6591230 1.3462021 2.7734514 0.3562161 1.9427497
## 93 1.8375104 1.2719748 1.2408993 0.8060448 1.7255068 1.0121856 0.9845698
## 94 2.9961569 0.2592702 2.5150757 1.1364147 0.6975467 2.1096744 1.2916089
## 95 1.6866163 1.2661634 1.3115906 0.5286138 1.8483466 0.8208749 1.3103480
## 96 1.1637696 1.7768160 1.1412615 0.9675002 2.4908669 0.4617778 1.8925438
## 97 1.2658357 1.6322141 1.1102383 0.7881850 2.3000798 0.4240501 1.6965318
## 98 1.0310321 2.0631019 0.5120752 1.3181356 2.5930600 0.5059113 1.6796863
## 99 2.6127621 0.3963136 2.2391706 0.7999763 1.1949691 1.7282267 1.4117820
## 100 1.4530568 1.4614496 1.1463625 0.6687892 2.0865802 0.5839000 1.4779407
## 101 1.3915627 3.6515696 2.0201150 2.6753173 4.1519330 1.8622378 3.4141674
## 102 1.5702813 2.0220920 1.3578473 1.1905434 2.3933688 1.0117456 1.7767059
## 103 1.5164019 3.6339149 1.4356471 2.8045366 3.9529894 1.9097295 2.8938642
## 104 1.0821128 2.6407247 0.9393815 1.7826830 3.0405534 1.0343292 2.1525591
## 105 1.2409549 3.1800071 1.3868828 2.2799921 3.5666615 1.4798220 2.6928685
## 106 2.1277018 4.2548398 1.9738629 3.4722736 4.5043047 2.5850889 3.3695817
## 107 2.5014502 1.1653718 2.3098703 0.7824508 1.5794859 1.6947083 1.7781903
## 108 1.7863127 3.7021324 1.4395421 2.9606988 3.9491513 2.1168634 2.8005285
## 109 2.0147596 2.8080092 1.3225574 2.2193954 2.8861251 1.7960206 1.8247136
## 110 1.9178399 4.6565007 2.5109195 3.7057872 5.1551467 2.6905734 4.2076968
## 111 0.6615890 3.1405551 1.1882372 2.2050611 3.6611149 1.1940597 2.7816826
## 112 1.4764660 2.5362966 1.0226132 1.7774440 2.8056161 1.2255603 1.8670080
## 113 1.2140803 3.2856375 1.2134393 2.4232291 3.6544558 1.5307561 2.6658501
## 114 2.0489184 1.9064467 1.7082711 1.2581899 2.1151132 1.4177194 1.6269717
## 115 1.6832727 2.5370538 1.7744905 1.6615940 2.9149782 1.3708360 2.3906105
## 116 1.0129698 3.2927898 1.5525660 2.3321844 3.7929720 1.4369984 2.9913423
## 117 0.8979365 2.8780307 0.8703071 2.0087983 3.3060849 1.1055466 2.3573147
## 118 2.4652686 5.2856976 2.9727999 4.3705068 5.7836391 3.3080041 4.7442220
## 119 2.7989545 4.3257119 2.3784579 3.6673820 4.3754788 3.0013674 3.2656372
## 120 2.5586045 1.8256129 1.7956704 1.6293523 1.6796517 1.8943978 0.8667085
## 121 1.3198156 3.7362283 1.6475512 2.8221407 4.1600953 1.8688175 3.2064231
## 122 1.5227466 2.0247089 1.5437810 1.1074692 2.4987815 0.9640176 2.0271556
## 123 2.3944350 4.2079189 2.0188582 3.5075537 4.3597570 2.7150650 3.1890648
## 124 1.4059246 2.2924191 0.8949702 1.5365275 2.6027634 1.0095635 1.6759023
## 125 0.9922318 3.5944006 1.5318620 2.6569452 4.0922048 1.6579285 3.1770581
## 126 1.3583382 3.8110982 1.4345713 2.9732097 4.2125349 1.9671839 3.1223247
## 127 1.1843018 2.2650401 0.8538744 1.4304980 2.6669646 0.7824508 1.8055990
## 128 0.7834236 2.4327013 0.9361625 1.5004337 2.9595367 0.6086687 2.1782636
## 129 1.4215236 2.8113480 1.2383074 1.9807710 3.1184851 1.3504494 2.2432943
## 130 1.4294422 3.4978524 1.0929989 2.7449089 3.8261505 1.8175154 2.6698626
## 131 1.9658148 3.7238436 1.5256568 3.0157267 3.9156644 2.2193954 2.7500263
## 132 2.5004302 5.3148155 2.9345092 4.4301124 5.8085556 3.3445058 4.7232825
## 133 1.4866257 2.8808927 1.3512961 2.0449026 3.1813227 1.4308960 2.3298571
## 134 1.1766422 2.2738967 0.5770279 1.5154456 2.6618086 0.8389368 1.6866439
## 135 1.7223047 2.0696703 1.0846368 1.4701400 2.3130311 1.2436634 1.3977330
## 136 2.1919113 4.3304954 2.0640836 3.5406021 4.5796617 2.6429366 3.4507091
## 137 1.1891593 3.6322367 1.9623138 2.6443154 4.1916790 1.7602913 3.4505033
## 138 0.7066486 2.9180898 0.9793353 2.0097605 3.4077340 1.0556747 2.5140630
## 139 0.8228272 2.3416087 1.0103351 1.3937026 2.8923963 0.5338632 2.1623359
## 140 1.1502573 3.4511564 1.2840224 2.5733805 3.8567967 1.6101923 2.8559508
## 141 1.3436339 3.5178638 1.6213026 2.6023232 3.9207690 1.7346721 3.0287250
## 142 1.2768213 3.5158477 1.4639600 2.6292832 3.9197058 1.6948385 2.9566765
## 143 1.5702813 2.0220920 1.3578473 1.1905434 2.3933688 1.0117456 1.7767059
## 144 1.3125113 3.7029083 1.6719857 2.7797651 4.1306195 1.8495298 3.2037899
## 145 1.3958399 3.8353244 1.9296431 2.8807268 4.3053615 1.9622090 3.4472737
## 146 1.2769746 3.2691383 1.3798171 2.3856931 3.6489141 1.5348597 2.7302431
## 147 1.8848263 2.2874830 1.2823449 1.6714537 2.4283200 1.4247912 1.5231606
## 148 0.9421671 2.9168431 1.0129698 2.0249251 3.3456864 1.1296900 2.4324107
## 149 1.0333559 3.4716397 1.8643491 2.4806758 4.0600678 1.5928206 3.3430234
## 150 0.9095413 2.3440475 1.1303779 1.3877372 2.8927571 0.6440723 2.2075304
## 64 65 66 67 68 69 70
## 2
## 3
## 4
## 5
## 6
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## 50
## 51
## 52
## 53
## 54
## 55
## 56
## 57
## 58
## 59
## 60
## 61
## 62
## 63
## 64
## 65 0.8775475
## 66 0.8743258 1.4824880
## 67 0.6687892 0.6175831 1.3556159
## 68 0.8559847 0.7099379 1.5256956 1.0068276
## 69 1.6198327 1.8528395 2.1560692 1.9732719 1.4250978
## 70 1.2518258 0.9694964 1.9735011 1.3064604 0.5467463 1.1788376
## 71 0.9003687 1.2236696 1.1457428 0.7249741 1.6091277 2.3619412 1.9528878
## 72 0.4765372 0.6845254 1.0331052 0.8510073 0.5848110 1.4347808 0.9541409
## 73 0.9646652 1.4723998 1.4918840 1.4428722 1.1003657 0.7346173 1.1449388
## 74 0.3485446 0.9070429 1.0471285 0.8619066 0.6068441 1.4412721 1.0300071
## 75 0.4469998 1.0443182 0.6018501 1.0332864 0.9504233 1.6490130 1.3768615
## 76 0.6679164 1.3166623 0.2592702 1.2160584 1.3081904 1.9032989 1.7347729
## 77 0.8777535 1.6223446 0.7346173 1.5351563 1.3941442 1.5703662 1.7287650
## 78 0.8726038 1.6497314 0.5683866 1.3833679 1.6608164 1.9703934 2.0219958
## 79 0.2112608 0.7497413 0.9724066 0.5347688 0.8663230 1.6240572 1.2109681
## 80 1.2018943 0.8040099 1.8192359 1.2680552 0.4274851 1.3992764 0.3684778
## 81 1.5019245 1.1883592 2.2247958 1.5304081 0.8068963 1.1652370 0.2653865
## 82 1.5611623 1.2200936 2.2609541 1.5953642 0.8101437 1.2493259 0.3118788
## 83 0.7848709 0.5612275 1.4739580 0.8958218 0.2858005 1.3489620 0.5348792
## 84 0.5876413 1.1492643 1.3352477 0.9164114 0.9994225 1.2275997 1.1559702
## 85 0.8929107 0.6631319 1.5930210 0.2415266 1.0902785 2.0741619 1.3285985
## 86 1.1883592 1.4014641 1.1226734 1.0453461 1.8189337 2.7668240 2.2456114
## 87 0.8676270 1.5595883 0.2146908 1.3528155 1.6029013 2.1543096 2.0347817
## 88 1.4139906 1.6777724 1.9024558 1.8346353 1.1792265 0.3731971 1.0364478
## 89 0.7415967 0.3645013 1.3650517 0.3466834 0.8288391 2.0034948 1.1822072
## 90 1.2416371 0.9529552 2.0158275 1.2163823 0.7070472 1.1564647 0.2943447
## 91 1.0471285 0.8431513 1.8667731 1.0074189 0.5306769 1.3095473 0.4057789
## 92 0.2363181 0.8691023 0.7684328 0.6204957 0.9801009 1.8449364 1.4116193
## 93 0.9116328 0.7750003 1.6178403 1.0656731 0.3531180 1.1448426 0.3624815
## 94 2.1363330 1.6136116 2.8717878 1.9991549 1.4074556 1.7450154 0.9318256
## 95 0.8201091 0.5710268 1.6238475 0.7559512 0.4652394 1.3923630 0.5552259
## 96 0.6595814 0.4471633 1.2620209 0.4453853 0.7485815 1.9791828 1.1732894
## 97 0.5751311 0.3607024 1.3034470 0.4061376 0.6190683 1.7440034 0.9769887
## 98 0.2883376 0.8259872 0.7717279 0.8119945 0.7820671 1.6312292 1.2195908
## 99 1.8392569 1.1794742 2.5322416 1.6364370 1.1535378 1.7988251 0.7902657
## 100 0.6470793 0.3839856 1.4064868 0.5876413 0.4713011 1.5426360 0.7549842
## 101 1.8776152 2.4256173 1.8297476 1.9056515 2.7001040 2.9710035 2.9785900
## 102 0.9074328 1.2690603 1.6158617 0.9607171 1.3095910 1.3929031 1.3537027
## 103 1.6782339 2.4765019 1.3606459 2.1283608 2.4618467 2.4080369 2.7571753
## 104 0.7704835 1.5583567 1.0869055 1.1447400 1.5487724 1.7711572 1.8241585
## 105 1.3325909 2.0447961 1.3570059 1.6021747 2.1434056 2.2103660 2.3954634
## 106 2.3099317 3.1425699 1.9053667 2.8050445 3.0474695 2.8743643 3.3481223
## 107 1.7635191 1.4464132 2.6034972 1.4489248 1.5121318 1.7341394 1.2040524
## 108 1.7879991 2.6427880 1.4728824 2.3370823 2.4792278 2.3533952 2.7836363
## 109 1.4250896 2.1424883 1.6731055 1.9436528 1.8495298 1.2391720 1.9407304
## 110 2.6562027 3.2858377 2.1657582 2.8585019 3.5040282 3.7839040 3.8767448
## 111 1.1738969 1.7945476 0.9422451 1.3919933 2.0180645 2.4373741 2.3699652
## 112 0.9421324 1.6404005 1.2898310 1.3739922 1.5431263 1.3619929 1.6954066
## 113 1.3475830 2.1006359 1.1396794 1.7437242 2.1549158 2.1987069 2.4410326
## 114 1.3130241 1.5261390 2.0219933 1.3568447 1.4853317 1.1613965 1.3405225
## 115 1.3987088 1.7075073 1.8797372 1.3336190 1.9357145 1.9073379 1.9755776
## 116 1.4541819 2.0138613 1.3557100 1.5655099 2.2829333 2.5746793 2.5729365
## 117 0.8756342 1.6800727 0.8801366 1.2872782 1.7084593 1.9939507 2.0401164
## 118 3.2221400 3.8952541 2.6147045 3.4923817 4.0350424 4.3764132 4.4638057
## 119 2.6747803 3.4815063 2.4847616 3.1974267 3.2774912 2.6595943 3.4424703
## 120 1.6247777 1.8735978 2.2607429 1.9189451 1.4368300 0.3722352 1.1707878
## 121 1.7669538 2.4646897 1.4308805 2.0588429 2.6097525 2.7462629 2.9260973
## 122 1.0245400 1.1992978 1.7141210 0.8319738 1.4274093 1.7034052 1.4794472
## 123 2.3852214 3.2266474 2.0613747 2.9369060 3.0344335 2.6757643 3.2886373
## 124 0.7463942 1.3775905 1.1963048 1.1809265 1.2928669 1.2396624 1.4454806
## 125 1.5910602 2.2635194 1.2634188 1.8221078 2.4454682 2.7956054 2.8096755
## 126 1.7481620 2.5467291 1.2304913 2.1956581 2.5365966 2.7566328 2.9276590
## 127 0.5880598 1.2124483 1.0793783 0.9588270 1.2428812 1.4417789 1.4498418
## 128 0.5838299 1.1789119 0.9660545 0.7555404 1.3827147 1.8946284 1.6866495
## 129 1.1345401 1.8360606 1.3821880 1.4669046 1.8390927 1.7208067 2.0138613
## 130 1.5081127 2.3439544 1.0559513 2.0719487 2.2088817 2.3209241 2.5764510
## 131 1.8911739 2.7208441 1.5956243 2.4561290 2.5424003 2.2565201 2.8024187
## 132 3.2458845 3.9163278 2.5656359 3.5598208 4.0273125 4.3907375 4.4732816
## 133 1.2431226 1.9140832 1.4726223 1.5412848 1.9437405 1.7846359 2.1016849
## 134 0.4237065 1.2482402 0.9388963 1.0201355 1.0809326 1.4230419 1.3877372
## 135 0.8565401 1.4625744 1.5175762 1.2697583 1.0868720 1.1235104 1.2245504
## 136 2.4102224 3.1954392 1.9576864 2.8904108 3.1513184 2.9279968 3.4320505
## 137 1.8317599 2.3230827 1.7000934 1.8273528 2.6531668 3.0621510 2.9688987
## 138 0.9069513 1.6530674 0.8915840 1.2090485 1.7600298 2.1903776 2.1197078
## 139 0.5880598 1.0855208 1.0459301 0.6458519 1.3382252 1.9002382 1.6286689
## 140 1.4644159 2.1946403 1.1057102 1.8430506 2.2872999 2.4202820 2.6082115
## 141 1.6482240 2.3111387 1.4775796 1.8972851 2.4736522 2.5319224 2.7378302
## 142 1.6091572 2.2623824 1.2687423 1.9324479 2.4158799 2.4890328 2.7018787
## 143 0.9074328 1.2690603 1.6158617 0.9607171 1.3095910 1.3929031 1.3537027
## 144 1.7448677 2.4479561 1.4776228 2.0102501 2.5928282 2.7421227 2.9053970
## 145 1.9418295 2.5495964 1.6838814 2.1027634 2.7875280 2.9861257 3.0897544
## 146 1.4324839 2.0880419 1.2853573 1.7387964 2.2253206 2.2343134 2.4700893
## 147 1.1660618 1.6749244 1.6352654 1.5447153 1.4930512 0.9186553 1.4847309
## 148 0.9928828 1.7025805 0.9674504 1.3299671 1.8159780 2.0217732 2.1056269
## 149 1.6976123 2.1451810 1.5979232 1.6518702 2.5027240 2.9901891 2.8265013
## 150 0.6615890 1.1559388 1.1910592 0.6337824 1.3822996 1.9417688 1.6591082
## 71 72 73 74 75 76 77
## 2
## 3
## 4
## 5
## 6
## 7
## 8
## 9
## 10
## 11
## 12
## 13
## 14
## 15
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## 66
## 67
## 68
## 69
## 70
## 71
## 72 1.2394324
## 73 1.7235660 0.9278158
## 74 1.2342428 0.4176726 0.8365465
## 75 1.1613965 0.4612720 1.0203670 0.5024401
## 76 1.1188752 0.8023081 1.2428280 0.8202866 0.3624815
## 77 1.5162014 0.9680856 0.9266879 0.8869386 0.6192036 0.5658865
## 78 1.0834935 1.1540559 1.2733136 1.0930387 0.7851843 0.5338632 0.6267953
## 79 0.8198192 0.4650710 1.0123210 0.4847273 0.5612685 0.7733522 1.0159188
## 80 1.8966096 0.8240249 1.2794126 0.9873324 1.2444346 1.5996225 1.6711923
## 81 2.1832055 1.2037003 1.2843936 1.2823219 1.6267415 1.9824240 1.9449046
## 82 2.2565344 1.2453902 1.3705388 1.3255015 1.6636237 2.0229192 1.9926170
## 83 1.4866257 0.4520086 1.0251550 0.6239106 0.8967273 1.2474643 1.3563872
## 84 1.1950910 0.7812864 0.6097954 0.6276533 0.8967533 1.1067233 1.0410214
## 85 0.8711646 1.0364478 1.5964213 1.0454155 1.2620209 1.4561882 1.7649536
## 86 0.5682073 1.4644635 2.1126828 1.4824797 1.3103480 1.1996947 1.7105644
## 87 1.0696315 1.1067233 1.4632561 1.0740834 0.6797003 0.3366202 0.7132600
## 88 2.2312757 1.1939893 0.5996825 1.1917883 1.3830166 1.6515727 1.3225283
## 89 0.9640176 0.7604949 1.5181424 0.8413545 0.9994172 1.2265682 1.5764083
## 90 1.8569406 0.9993755 1.1234470 1.0831444 1.4326070 1.7745770 1.7779140
## 91 1.6730931 0.8967273 1.1050459 0.8743258 1.2943886 1.6357504 1.6719439
## 92 0.7463942 0.5859036 1.1917883 0.5316053 0.4795658 0.6143535 0.9684988
## 93 1.6536365 0.5991783 0.9121737 0.7064290 1.0221759 1.3768615 1.3939677
## 94 2.6960078 1.8419314 1.9816629 1.9438031 2.2867360 2.6412764 2.6530124
## 95 1.4117352 0.6557953 1.0729581 0.7174030 1.0710367 1.4007714 1.5117655
## 96 1.0020086 0.6884307 1.4673413 0.7239568 0.8875037 1.1238184 1.4695422
## 97 1.0382105 0.5466384 1.2622588 0.6192036 0.8472390 1.1242644 1.3964269
## 98 1.0561730 0.3100027 1.0203670 0.3684778 0.2415266 0.5535324 0.8216378
## 99 2.3228549 1.5237634 1.8798620 1.6960876 1.9793974 2.3197286 2.4255004
## 100 1.2198600 0.4863634 1.1282600 0.6050408 0.8832203 1.1991360 1.3925111
## 101 1.2615196 2.2663425 2.3405601 2.1966628 2.0646131 1.8732528 2.0555315
## 102 1.1732894 1.0916912 0.9291736 1.0385562 1.2492209 1.4123116 1.4036322
## 103 1.6893194 1.9821446 1.7860022 1.8775381 1.6402050 1.3892350 1.2543728
## 104 0.9552220 1.1673702 1.0744017 0.9952450 0.9935720 0.9598777 0.9476229
## 105 1.1540559 1.6963857 1.5740257 1.5979127 1.4776228 1.3210134 1.3282454
## 106 2.3706256 2.6005173 2.3081579 2.4585493 2.2252586 1.9633840 1.7398210
## 107 2.0208158 1.7115512 1.7258648 1.7369292 2.1004204 2.3851112 2.4335699
## 108 2.0134971 2.0689434 1.7562554 1.8957343 1.7015159 1.4835969 1.1893827
## 109 1.9579285 1.5712229 0.8050898 1.4165627 1.4579964 1.4949433 1.0414409
## 110 2.1662254 3.0045018 3.1198779 2.9446774 2.6515559 2.3302232 2.4954025
## 111 0.7891404 1.5189421 1.7551882 1.4927885 1.2397810 1.0009927 1.2735563
## 112 1.3334024 1.1600946 0.7428731 1.0690080 1.0728744 1.1055696 0.8924626
## 113 1.3053649 1.6579223 1.5542405 1.5889180 1.3600017 1.1357743 1.1005237
## 114 1.6490130 1.3679678 0.9790367 1.3555419 1.5991888 1.7978751 1.6943503
## 115 1.2268967 1.6131123 1.4984321 1.6312743 1.6928143 1.7384768 1.7912035
## 116 0.9354711 1.7991431 1.9356371 1.7808893 1.5861220 1.3867021 1.5968387
## 117 0.9448830 1.2634052 1.2824559 1.1264446 0.9795911 0.8235604 0.8800149
## 118 2.8379399 3.5680018 3.6928562 3.4643771 3.1576526 2.8164691 2.9504210
## 119 2.9095572 2.8920373 2.3013424 2.7531299 2.6131973 2.4508293 2.0496628
## 120 2.3336776 1.5163336 0.7798708 1.4468276 1.7431730 2.0066230 1.6906659
## 121 1.4658073 2.1033541 2.1002745 2.0442719 1.7856196 1.5093872 1.5845626
## 122 1.0224996 1.2115627 1.2722533 1.2161280 1.3945916 1.5390793 1.6501173
## 123 2.6066490 2.6298555 2.1913798 2.4735736 2.2823275 2.0717960 1.7202714
## 124 1.2459861 0.8950898 0.6045269 0.8622197 0.8780338 0.9801009 0.8341612
## 125 1.1835658 1.9671994 2.1040709 1.8857297 1.6443671 1.3689402 1.5600659
## 126 1.7107740 2.0786303 2.0745361 1.9413299 1.6627608 1.3536773 1.3464809
## 127 0.9866359 0.8063777 0.8040099 0.7983780 0.7883427 0.8778480 0.8946509
## 128 0.5216255 0.9490851 1.2365965 0.9181501 0.8542258 0.8486475 1.0971542
## 129 1.2518258 1.4332774 1.1247990 1.3361558 1.3024930 1.2547264 1.1322888
## 130 1.7506995 1.7803908 1.6656395 1.6244550 1.3648875 1.1058108 0.9130341
## 131 2.1640404 2.1211842 1.7250642 1.9841819 1.7805424 1.5816406 1.2237718
## 132 2.9357778 3.5609822 3.7123375 3.4666694 3.1310515 2.7814818 2.9102358
## 133 1.2990567 1.5319529 1.2202141 1.4533861 1.4103489 1.3537027 1.2410684
## 134 1.1221948 0.7179588 0.6975467 0.5143754 0.5843290 0.7185078 0.6408483
## 135 1.5601393 1.0243308 0.5342497 0.7343846 1.0791268 1.2918516 1.0632626
## 136 2.4306982 2.6608828 2.3954079 2.5798342 2.2974223 2.0214248 1.8243578
## 137 1.1264446 2.2039428 2.4114294 2.1660243 1.9888246 1.7767082 2.0459867
## 138 0.7579383 1.3256292 1.4764660 1.1958166 1.0502032 0.8801366 1.0675669
## 139 0.4744817 0.9277899 1.2670038 0.9208455 0.8924626 0.9228995 1.1913417
## 140 1.3347063 1.7713243 1.7662946 1.7200201 1.4369984 1.1610992 1.2029988
## 141 1.3457291 1.9755602 1.9182425 1.9331672 1.7224141 1.5001542 1.5539769
## 142 1.4036322 1.8752420 1.8799817 1.8817636 1.5816664 1.3172939 1.3825096
## 143 1.1732894 1.0916912 0.9291736 1.0385562 1.2492209 1.4123116 1.4036322
## 144 1.4141632 2.1062732 2.0895583 2.0252123 1.8026982 1.5443550 1.6200658
## 145 1.4454372 2.2905884 2.3513085 2.2517971 2.0201150 1.7644338 1.9165164
## 146 1.2749674 1.7084515 1.6369759 1.7024637 1.4713832 1.2704684 1.2925205
## 147 1.6860055 1.2134995 0.5278193 1.1850382 1.2781368 1.4117352 1.1320131
## 148 0.9250699 1.3226276 1.3540442 1.2750100 1.0819015 0.9162814 1.0063603
## 149 0.9421324 2.0638879 2.3366567 2.0369974 1.8664680 1.6704986 1.9823253
## 150 0.4893156 1.0428115 1.3103480 0.9694546 1.0261057 1.0710874 1.3023440
## 78 79 80 81 82 83 84
## 2
## 3
## 4
## 5
## 6
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## 78
## 79 0.9572420
## 80 1.9662028 1.1645485
## 81 2.2531556 1.4536676 0.5612275
## 82 2.3196301 1.5219026 0.5307731 0.1429002
## 83 1.5727660 0.7343775 0.4329093 0.7908287 0.8286564
## 84 1.0994367 0.5859036 1.2747544 1.3457086 1.4446107 0.8920813
## 85 1.6167028 0.7600350 1.3132532 1.5304081 1.5953642 0.9886870 1.0637130
## 86 1.2861714 1.1546184 2.1072613 2.4931605 2.5403367 1.7402496 1.6415691
## 87 0.3877679 0.9684988 1.9148596 2.2835499 2.3303377 1.5439427 1.2748946
## 88 1.7898251 1.4485341 1.1889409 1.0818352 1.1393601 1.1420273 1.1338399
## 89 1.5165575 0.6373124 1.0616998 1.4167754 1.4545696 0.7497453 1.0876007
## 90 2.0030665 1.1644144 0.5883026 0.3664958 0.4862320 0.6018501 1.0575117
## 91 1.8676377 0.9982197 0.6221790 0.5859036 0.6607829 0.5139214 0.9218757
## 92 0.8551391 0.2960431 1.3187892 1.6674036 1.7190892 0.9116328 0.7983666
## 93 1.6657328 0.8758985 0.4045414 0.6097954 0.6629704 0.2363181 0.8801366
## 94 2.9265493 2.0605090 1.0959819 0.7174030 0.6845254 1.3999738 1.9899474
## 95 1.6489784 0.7359458 0.6159250 0.7800697 0.8505568 0.3231520 0.8050898
## 96 1.4470794 0.6063625 1.0335770 1.4219114 1.4499473 0.7191661 1.0678480
## 97 1.4113016 0.4785192 0.8864976 1.2224797 1.2686192 0.5207927 0.8698461
## 98 0.9218757 0.3741885 1.0948090 1.4763492 1.5168926 0.7158522 0.7931968
## 99 2.6367737 1.7380684 0.8216378 0.7009643 0.6785485 1.0964904 1.7992423
## 100 1.4846671 0.5514351 0.6935238 0.9991288 1.0520354 0.3118788 0.8122134
## 101 1.4592836 1.8484095 2.9970706 3.1817564 3.2813276 2.5658201 1.9183990
## 102 1.3141828 0.8122752 1.5109093 1.4996134 1.6211348 1.1425647 0.4617778
## 103 0.8767270 1.7509552 2.7625295 2.9605219 3.0437012 2.3698331 1.6952975
## 104 0.6470793 0.8212438 1.8749502 2.0328207 2.1235028 1.4567589 0.7006234
## 105 0.8330644 1.3427247 2.4395809 2.5921991 2.6920119 2.0169099 1.2708987
## 106 1.5093585 2.4126434 3.3575795 3.5444831 3.6204576 2.9887022 2.3150562
## 107 2.4741259 1.6357504 1.4663761 1.1638328 1.2753003 1.3919933 1.4518677
## 108 1.0663856 1.9129202 2.7972381 2.9816166 3.0515352 2.4412849 1.7905706
## 109 1.2403696 1.5013390 2.0760756 2.0687310 2.1608766 1.7804165 1.0729581
## 110 1.9363257 2.6873658 3.8192831 4.1067597 4.1851440 3.4035160 2.8423075
## 111 0.6534500 1.1764949 2.3175307 2.6006942 2.6790429 1.8958280 1.3985388
## 112 0.8382817 0.9615857 1.7891554 1.8650935 1.9673960 1.4132713 0.6333087
## 113 0.6084340 1.3879875 2.4439741 2.6472892 2.7353054 2.0365998 1.3743102
## 114 1.7114944 1.2181799 1.5798115 1.4025673 1.5409211 1.3095624 0.7876524
## 115 1.4961311 1.2730388 2.1023994 2.1034521 2.2306644 1.7300826 1.1011401
## 116 0.9951374 1.4191499 2.5608584 2.7839802 2.8775530 2.1336582 1.5509586
## 117 0.3946778 0.9450032 2.0397740 2.2636414 2.3440475 1.6215573 0.9790400
## 118 2.4869338 3.2977007 4.3792361 4.7070989 4.7688545 3.9838207 3.4676980
## 119 2.0195598 2.7637552 3.5287123 3.5820891 3.6693071 3.2074966 2.4800029
## 120 2.0377039 1.6307822 1.4579964 1.1456952 1.2440840 1.3847218 1.1560071
## 121 1.0226132 1.7940591 2.9080728 3.1407161 3.2279305 2.4905550 1.8590602
## 122 1.4605816 0.8761330 1.6047555 1.6245606 1.7435658 1.2383074 0.7577584
## 123 1.6586798 2.5001542 3.3243319 3.4631790 3.5369417 2.9891034 2.3160798
## 124 0.8529340 0.7403040 1.5192583 1.6244215 1.7235788 1.1424118 0.4614498
## 125 0.9520287 1.6243478 2.7700781 3.0402744 3.1192723 2.3473523 1.7763326
## 126 0.9556415 1.8576108 2.8780942 3.1591132 3.2221999 2.4918099 1.9351401
## 127 0.7779401 0.5429150 1.4896289 1.6495640 1.7454576 1.0795915 0.4568359
## 128 0.7385366 0.5229417 1.6751208 1.9109176 1.9958920 1.2431813 0.7549842
## 129 0.8559847 1.1374867 2.1030686 2.1873125 2.2944519 1.7026963 0.8924626
## 130 0.7662761 1.6468837 2.5378531 2.7970563 2.8538426 2.1831109 1.6525853
## 131 1.1757057 2.0019826 2.8264196 2.9842946 3.0576840 2.4864801 1.8403414
## 132 2.5005417 3.3342291 4.3655698 4.7202277 4.7725929 3.9884447 3.5286756
## 133 0.9421324 1.2319196 2.1951680 2.2684307 2.3791541 1.7961608 0.9928828
## 134 0.7182928 0.5471871 1.4097325 1.6103590 1.6836869 1.0169686 0.4484448
## 135 1.2797025 0.9454177 1.3870380 1.3893058 1.4728824 1.0863359 0.4650710
## 136 1.5704381 2.4880471 3.4283681 3.6234632 3.7027820 3.0617327 2.4192368
## 137 1.4263323 1.7971095 2.9465928 3.1852061 3.2755123 2.5198548 1.9728765
## 138 0.5304024 0.9590041 2.1013464 2.3518642 2.4293521 1.6758043 1.0934927
## 139 0.8629324 0.4862320 1.6178076 1.8503504 1.9363257 1.1881123 0.7559512
## 140 0.6615890 1.5071082 2.5801207 2.8249410 2.9064805 2.1732422 1.5756430
## 141 1.0057456 1.6454698 2.7500758 2.9373013 3.0349928 2.3300921 1.6548603
## 142 0.8566189 1.6152073 2.6732443 2.9083361 2.9958886 2.2696953 1.6931765
## 143 1.3141828 0.8122752 1.5109093 1.4996134 1.6211348 1.1425647 0.4617778
## 144 1.0510343 1.7713243 2.9011523 3.1188223 3.2086330 2.4780004 1.8160483
## 145 1.3162491 1.9339191 3.0762527 3.3008445 3.3940916 2.6504106 2.0295819
## 146 0.7952676 1.4233827 2.4772382 2.6650366 2.7614792 2.0687989 1.4265041
## 147 1.2720529 1.1528481 1.6412804 1.5967548 1.7095162 1.3441695 0.7070472
## 148 0.4754730 1.0023764 2.1033541 2.3187083 2.4075894 1.6829116 1.0568459
## 149 1.3703098 1.6540042 2.7929483 3.0460277 3.1328051 2.3700582 1.8734479
## 150 0.9766177 0.5810741 1.6803457 1.8745561 1.9643765 1.2530059 0.7464351
## 85 86 87 88 89 90 91
## 2
## 3
## 4
## 5
## 6
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## 82
## 83
## 84
## 85
## 86 1.1766155
## 87 1.5906386 1.1038061
## 88 1.9576945 2.5804026 1.9235002
## 89 0.4225216 1.1321589 1.4147942 1.8228309
## 90 1.2163823 2.2052986 2.0545293 1.0932767 1.1548700
## 91 1.0074189 2.0029912 1.8973086 1.1934440 0.9501960 0.3481266
## 92 0.8573363 0.9637610 0.7733522 1.6332817 0.6797277 1.4048779 1.2037003
## 93 1.1448426 1.9449240 1.6761147 0.9523050 0.9596625 0.4484448 0.4273140
## 94 1.9248233 2.9848271 2.9398538 1.7343141 1.8613220 0.9419586 1.1381826
## 95 0.7935977 1.7309972 1.6600913 1.2528517 0.6906117 0.4878204 0.3118788
## 96 0.5612827 1.1303607 1.3214168 1.7703926 0.1870942 1.1850377 0.9557026
## 97 0.5306769 1.2770945 1.3483311 1.5597416 0.2653865 0.9557026 0.7497453
## 98 1.0332864 1.2417756 0.8338662 1.3830166 0.7684328 1.2592387 1.0994367
## 99 1.5635170 2.5685032 2.6136490 1.7344781 1.4620726 0.7893555 0.9654764
## 100 0.6797003 1.4941362 1.4548132 1.3674167 0.4744817 0.7316280 0.5612275
## 101 2.0243983 1.5165881 1.6454042 2.9263765 2.1966412 2.8397515 2.6912502
## 102 1.0478467 1.7052824 1.5330394 1.4084191 1.2134995 1.1617665 1.0883449
## 103 2.3373663 1.9147002 1.1694794 2.3100088 2.3286452 2.7035808 2.5868497
## 104 1.3330831 1.3799695 0.9266707 1.6695268 1.3854766 1.7399250 1.5775936
## 105 1.7749126 1.5390644 1.1587150 2.1588539 1.8715788 2.2821359 2.1565438
## 106 3.0155118 2.5339851 1.7355031 2.7746273 2.9900911 3.3193627 3.1970157
## 107 1.3226385 2.4587534 2.5887772 1.8296345 1.5353386 0.9384157 1.0055596
## 108 2.5518593 2.2111395 1.3084195 2.2230701 2.5001542 2.7740161 2.6413873
## 109 2.1160830 2.3641879 1.5614511 1.2260232 2.1067143 1.8894585 1.8442535
## 110 3.0270002 2.1274959 2.0076438 3.6718978 3.0643808 3.8049219 3.6489141
## 111 1.5877646 0.9828785 0.7698075 2.3070670 1.5987792 2.2954852 2.1475790
## 112 1.5533417 1.7812479 1.1680570 1.3176951 1.5775936 1.5980498 1.5287946
## 113 1.9490845 1.5895728 0.9445681 2.1056215 1.9571807 2.3673070 2.2559413
## 114 1.3991776 2.1795600 1.9525594 1.3017111 1.5600659 1.1057102 1.1524027
## 115 1.3976927 1.7805440 1.7608230 1.9799896 1.6347396 1.7538150 1.7255436
## 116 1.7250615 1.2217312 1.1836177 2.5018555 1.8240483 2.4543794 2.3278202
## 117 1.4968086 1.2635397 0.6864760 1.8590679 1.4968397 1.9815682 1.8189207
## 118 3.6715259 2.6888022 2.4828514 4.2182317 3.6556283 4.4370835 4.2493535
## 119 3.3921836 3.2054985 2.3300175 2.6568600 3.3927297 3.3957427 3.3386732
## 120 1.9934959 2.7707768 2.2376562 0.6068441 1.9826492 1.1081839 1.2154081
## 121 2.2484496 1.6423425 1.2383074 2.6555792 2.2842618 2.8436222 2.7162970
## 122 0.8663230 1.5668472 1.6375274 1.7187569 1.1221795 1.2615899 1.1861256
## 123 3.1478229 2.8174762 1.9094459 2.5913808 3.1071873 3.2733739 3.1730382
## 124 1.3642831 1.6824595 1.1150230 1.1630599 1.3505561 1.3542984 1.2983980
## 125 2.0050182 1.2882624 1.0728744 2.6722499 2.0399516 2.7382066 2.5721075
## 126 2.4109357 1.7611002 1.0556747 2.5877957 2.3521728 2.9168148 2.7478647
## 127 1.1522565 1.4321326 0.9982197 1.3461601 1.1502573 1.3505561 1.2633733
## 128 0.9596103 0.9884177 0.8633613 1.7742812 1.0001278 1.5909624 1.4377242
## 129 1.6361006 1.7166404 1.2184128 1.7012180 1.7226326 1.8915738 1.8022368
## 130 2.2988406 1.8667013 0.9070429 2.1317532 2.1944791 2.5933084 2.4415666
## 131 2.6722530 2.3936914 1.4466099 2.1511792 2.6151271 2.7880536 2.6918478
## 132 3.7513153 2.7460439 2.4570240 4.2075862 3.6911388 4.4707581 4.2854571
## 133 1.7031074 1.7709266 1.3070116 1.7851438 1.8055633 1.9673960 1.8907873
## 134 1.2277448 1.4693298 0.8708727 1.2417798 1.1466891 1.3653670 1.2066703
## 135 1.4008200 1.9597193 1.4553642 1.0056699 1.3949973 1.1901082 1.0275951
## 136 3.1044882 2.5926366 1.8004187 2.8436222 3.0718365 3.3927542 3.3031388
## 137 1.9508713 1.2732144 1.5365983 2.9855978 2.0883990 2.8462375 2.6912257
## 138 1.4095439 1.0472906 0.7010926 2.0498638 1.4301197 2.0563392 1.8721956
## 139 0.8419027 0.9694964 0.9619537 1.7866483 0.9060172 1.5219026 1.3703098
## 140 2.0526877 1.5314159 0.9138866 2.3056961 2.0398887 2.5463414 2.4268046
## 141 2.0735747 1.6365089 1.2861020 2.4792761 2.1498565 2.6266123 2.5212188
## 142 2.1333181 1.6167585 1.1005524 2.4025388 2.1352618 2.6196942 2.5326240
## 143 1.0478467 1.7052824 1.5330394 1.4084191 1.2134995 1.1617665 1.0883449
## 144 2.1907674 1.6174766 1.2770466 2.6592069 2.2519917 2.8148659 2.6766040
## 145 2.2631030 1.6197114 1.5008653 2.9185340 2.3533644 2.9790429 2.8513770
## 146 1.9296202 1.5991888 1.1110348 2.1769456 1.9682663 2.3662707 2.2869690
## 147 1.6890311 2.1517438 1.5596626 0.9724640 1.7058948 1.3688944 1.3945916
## 148 1.5336765 1.2803960 0.7883427 1.9199738 1.5533621 2.0198425 1.8993379
## 149 1.7711637 1.0777871 1.4481388 2.9027129 1.9054338 2.7070892 2.5469355
## 150 0.7968817 1.0203670 1.0919001 1.8439344 0.9393815 1.5387801 1.3610255
## 92 93 94 95 96 97 98
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## 93 1.0760200
## 94 2.2719070 1.2779601
## 95 0.9523050 0.3755259 1.3349313
## 96 0.5945837 0.9325321 1.9033138 0.7110069
## 97 0.5954263 0.7199768 1.7390734 0.4744817 0.2642892
## 98 0.3366202 0.8678526 2.1144278 0.8595196 0.6615528 0.6064679
## 99 1.9366740 1.0513560 0.5207927 1.0517031 1.5232364 1.3777330 1.7938765
## 100 0.7357479 0.4955334 1.5462257 0.2653865 0.4805930 0.2363181 0.6557953
## 101 1.8010052 2.6713574 3.7336721 2.4754207 2.2242302 2.2102880 2.0646131
## 102 1.0561730 1.1332632 2.0516805 0.9684396 1.2615899 1.0510343 1.1264446
## 103 1.6864328 2.4206240 3.6417743 2.4049970 2.2759484 2.2226072 1.7767817
## 104 0.8409830 1.5097806 2.6755701 1.4086865 1.3513783 1.2586736 0.9935720
## 105 1.3405101 2.0778968 3.2163073 1.9673960 1.8644051 1.7893085 1.5165881
## 106 2.3255744 3.0217093 4.2444088 3.0425551 2.9167164 2.8752872 2.3895883
## 107 1.8905312 1.3207706 1.2371690 1.1087917 1.6457406 1.4421591 1.8960682
## 108 1.8317952 2.4641911 3.6877306 2.5041362 2.4126434 2.3619662 1.8650757
## 109 1.6057465 1.7009526 2.7445209 1.7963760 2.0531481 1.8847692 1.5359343
## 110 2.5424767 3.5278952 4.7268024 3.4108589 3.0403078 3.0817962 2.7487751
## 111 1.0694522 2.0246896 3.2102684 1.8975004 1.5828371 1.5844201 1.2859732
## 112 1.0920240 1.4011892 2.5255360 1.3932911 1.5556313 1.3903426 1.0997248
## 113 1.3482933 2.1015999 3.3075820 2.0536918 1.9238200 1.8604099 1.4633113
## 114 1.4900438 1.2205138 1.8904217 1.1286587 1.6195192 1.3751124 1.4857302
## 115 1.4639600 1.7542211 2.5811728 1.5663625 1.7214869 1.5523338 1.6043518
## 116 1.3759269 2.2460778 3.3636838 2.0877570 1.8428325 1.8159780 1.6044058
## 117 0.8767270 1.7024780 2.9180898 1.6209944 1.4475116 1.3995001 1.0374338
## 118 3.1014383 4.1115681 5.3537812 4.0249580 3.5956982 3.6738074 3.2844271
## 119 2.7689915 3.1695534 4.2629640 3.2472393 3.3313105 3.2198954 2.7650482
## 120 1.8579356 1.1731713 1.6937211 1.3503673 1.9647689 1.7276284 1.6922313
## 121 1.7106512 2.5825493 3.7796122 2.4947459 2.2616856 2.2398585 1.8810762
## 122 1.1061821 1.2768504 2.0937031 1.0262751 1.2181580 1.0333559 1.2395725
## 123 2.4451503 2.9859937 4.1687180 3.0550032 3.0250941 2.9555219 2.4547322
## 124 0.9145138 1.1387589 2.2868941 1.1411099 1.3325183 1.1502573 0.8780338
## 125 1.4934522 2.4661780 3.6618836 2.3416087 2.0120291 2.0307945 1.7138505
## 126 1.6969165 2.5800309 3.8422693 2.5533054 2.2696288 2.2858423 1.8137777
## 127 0.7164866 1.1264446 2.2890059 1.0599356 1.1446749 0.9813471 0.7504326
## 128 0.5516021 1.3612460 2.5033764 1.1940924 1.0050840 0.9346146 0.7829632
## 129 1.2272176 1.7179030 2.8203694 1.6481782 1.7170447 1.5804224 1.3246974
## 130 1.5151147 2.2395764 3.5018547 2.2767473 2.0924212 2.0761462 1.5452940
## 131 1.9564024 2.4904838 3.6913604 2.5604352 2.5351643 2.4587388 1.9524388
## 132 3.1230187 4.1183867 5.3771091 4.0596093 3.6169055 3.7038718 3.2767125
## 133 1.3282454 1.8105827 2.8896970 1.7346721 1.8097683 1.6704283 1.4308805
## 134 0.6052435 1.0575117 2.2914144 1.0469068 1.0725643 0.9520634 0.5843290
## 135 1.0784675 1.0107388 2.0521439 1.0312122 1.3316675 1.1632897 1.0236427
## 136 2.4185935 3.0991423 4.3168701 3.1280610 3.0123972 2.9606980 2.4687731
## 137 1.7153947 2.6520430 3.7289093 2.4505879 2.1153313 2.1336582 1.9888246
## 138 0.8480572 1.7839781 2.9802480 1.6577574 1.3889458 1.3775905 1.0776186
## 139 0.5502762 1.3135903 2.4209826 1.1193240 0.9308013 0.8542258 0.7883427
## 140 1.4264419 2.2591275 3.4829976 2.2069167 2.0022297 1.9683088 1.5540190
## 141 1.6185489 2.4077312 3.5573154 2.3061619 2.1490530 2.0929586 1.7888686
## 142 1.5685521 2.3561507 3.5471083 2.2995503 2.1201934 2.0716395 1.6886916
## 143 1.0561730 1.1332632 2.0516805 0.9684396 1.2615899 1.0510343 1.1264446
## 144 1.6916267 2.5679460 3.7505685 2.4626278 2.2327490 2.2106362 1.8818598
## 145 1.8626940 2.7562017 3.8986395 2.6191702 2.3585748 2.3454313 2.0770664
## 146 1.4264191 2.1373268 3.2956210 2.0689175 1.9651633 1.8849568 1.5486475
## 147 1.3623136 1.2575737 2.2353363 1.3229293 1.6999075 1.4806081 1.2781368
## 148 0.9841125 1.7664734 2.9563764 1.6790716 1.5348597 1.4663761 1.1345401
## 149 1.5672544 2.5127028 3.5767403 2.2994530 1.9368723 1.9656470 1.8507749
## 150 0.6433843 1.3655324 2.4293521 1.1380698 0.9684396 0.8950898 0.9052914
## 99 100 101 102 103 104 105
## 2
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## 100 1.2065990
## 101 3.4249625 2.3404786
## 102 1.8552200 1.0038582 1.7717440
## 103 3.4013712 2.2825880 1.2983414 1.7923763
## 104 2.4402621 1.3152781 1.3179166 0.8201091 1.0815651
## 105 2.9618858 1.8615671 0.8365465 1.2249421 0.7385366 0.6318168
## 106 4.0386571 2.9295779 1.8246370 2.4473945 0.7223803 1.7300562 1.4096884
## 107 1.1832012 1.3167478 2.8373858 1.2554694 3.0461154 2.0263543 2.4539723
## 108 3.4983799 2.4019797 1.7812409 1.9927869 0.5632223 1.2710690 1.1582776
## 109 2.6631997 1.8137777 2.1114750 1.2515132 1.3066694 1.0432510 1.2843876
## 110 4.3883733 3.2267905 1.2877229 2.8394630 1.4824797 2.1642784 1.6713262
## 111 2.8717468 1.7145898 0.8950898 1.4309956 0.9788512 0.8253124 0.6607829
## 112 2.3397184 1.3597598 1.6390178 0.7333838 1.1716267 0.5207927 0.8505568
## 113 3.0425964 1.9250139 1.0926748 1.4325859 0.4273140 0.7585145 0.4211248
## 114 1.7896177 1.2557967 2.1552228 0.4955334 2.1098552 1.2456247 1.5885569
## 115 2.3478154 1.5550155 1.3991652 0.6949282 1.7422640 1.0569154 1.0729581
## 116 3.0364258 1.9339191 0.5415773 1.4591669 1.0533388 0.9733899 0.5679510
## 117 2.6501536 1.4843026 1.2065069 1.1211134 0.8551391 0.3379073 0.5516021
## 118 5.0229461 3.8289197 2.1181347 3.5510914 2.0288880 2.7902881 2.3934860
## 119 4.1557852 3.2064050 2.4013368 2.5753575 1.3255015 2.0747908 1.8296872
## 120 1.7927599 1.5345904 2.9227406 1.2856362 2.4521344 1.7265303 2.1868054
## 121 3.4816889 2.3419874 0.8218150 1.8631896 0.5920862 1.1967658 0.6814030
## 122 1.8414386 1.0311748 1.6879303 0.3755259 1.9570400 0.9966580 1.3117189
## 123 4.0149174 2.9742443 2.1821729 2.4811458 0.9788512 1.8352621 1.6246182
## 124 2.0766344 1.1015055 1.7682167 0.6282052 1.3721867 0.6064553 1.0331410
## 125 3.3410647 2.1673347 0.7332157 1.8057122 0.8484761 1.1106978 0.7432975
## 126 3.5696074 2.3900350 1.4412798 2.1098552 0.6190683 1.3062789 1.1015327
## 127 2.0301327 0.9757670 1.6235670 0.5762550 1.3910508 0.5221056 0.9685469
## 128 2.1854307 1.0390143 1.3280507 0.7968920 1.3907469 0.5178912 0.8767270
## 129 2.6131973 1.5931596 1.2873397 0.8524806 0.9767470 0.4713011 0.5051537
## 130 3.2700897 2.1387358 1.7498543 1.9090044 0.6693883 1.1469982 1.1550843
## 131 3.5176550 2.4734406 1.9244200 2.0265684 0.6507573 1.3837303 1.2552367
## 132 5.0431207 3.8552792 2.3518099 3.6551445 2.0975183 2.8759843 2.5321087
## 133 2.6814626 1.6824842 1.2396624 0.9015435 0.9855183 0.5853250 0.4878204
## 134 2.0650262 0.9564296 1.8157669 0.8322355 1.4031745 0.5364372 1.1267154
## 135 1.9583598 1.0877115 2.1843761 0.8333085 1.7812409 0.8985850 1.4798344
## 136 4.0910671 3.0081213 1.8450503 2.5168946 0.7789081 1.8497484 1.4649764
## 137 3.3825559 2.2857312 0.3481266 1.8585836 1.3997651 1.3912393 0.9910668
## 138 2.6848766 1.4991944 1.0717841 1.1982350 0.9866556 0.4778513 0.6094965
## 139 2.0929128 0.9640176 1.3821880 0.7603701 1.5191525 0.6239106 0.9802420
## 140 3.1921147 2.0536918 1.0613537 1.6445546 0.4372600 0.9504233 0.5954263
## 141 3.2720620 2.1764012 0.7158522 1.5918524 0.6853918 1.0312634 0.4389240
## 142 3.2424826 2.1484521 1.0316669 1.6977095 0.6206381 1.1162781 0.6785485
## 143 1.8552200 1.0038582 1.7717440 0.0000000 1.7923763 0.8201091 1.2249421
## 144 3.4599319 2.3168269 0.6994903 1.8041804 0.6408191 1.1390779 0.6018501
## 145 3.5798072 2.4646016 0.5120752 1.9522718 0.9976453 1.3864019 0.8307727
## 146 3.0134651 1.9438010 0.9906035 1.3905447 0.6778092 0.8761330 0.4371145
## 147 2.1178252 1.3705078 2.0758845 0.7604949 1.6056354 0.9873857 1.3170209
## 148 2.6686363 1.5412848 1.0806164 1.0994367 0.8363410 0.4807928 0.4293815
## 149 3.2179301 2.1267351 0.5015870 1.7654552 1.4739580 1.3317806 1.0207866
## 150 2.1231599 1.0099841 1.3454983 0.7110069 1.5685473 0.6051459 0.9785903
## 106 107 108 109 110 111 112
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## 107 3.6929715
## 108 0.6063625 3.2092623
## 109 1.6904126 2.2988406 1.2030945
## 110 1.5760364 4.0008697 1.8574205 2.7578888
## 111 1.6475475 2.5657551 1.3921325 1.6922313 1.5192054
## 112 1.7846453 1.9406488 1.3152726 0.6627507 2.4539701 1.1664318
## 113 1.1496283 2.6789839 0.8817644 1.2305690 1.5871954 0.6405919 0.8881204
## 114 2.7238537 1.0809668 2.2774553 1.3162814 3.2355884 1.8750460 0.9855183
## 115 2.4109357 1.6167585 2.1013546 1.5594470 2.5622867 1.3535826 1.0103351
## 116 1.7093193 2.5856458 1.5511947 1.7947124 1.4317044 0.4269933 1.2614739
## 117 1.5191525 2.3210958 1.0914999 1.1845454 1.8890299 0.5750987 0.7199768
## 118 1.8449364 4.7236430 2.1962895 3.2999072 0.9195486 2.2102816 3.1012301
## 119 0.9769887 3.7355442 1.1193240 1.5262983 2.4295147 2.2780718 1.9010977
## 120 2.9228992 1.5451350 2.3960597 1.2444346 3.8113523 2.4620762 1.3614468
## 121 1.1197882 3.0813051 1.1193240 1.7524437 1.0457724 0.7097651 1.4167759
## 122 2.6436072 1.1809265 2.2282616 1.6022309 2.8274742 1.4269962 1.0269147
## 123 0.4955334 3.6899124 0.6373124 1.5036238 2.0686205 1.9400394 1.7786125
## 124 2.0051647 1.7713057 1.5158767 0.8389368 2.5981454 1.2066271 0.2883376
## 125 1.3838160 2.9717677 1.2797025 1.8780039 1.0793783 0.4936662 1.4650548
## 126 0.8451719 3.3216367 0.7191661 1.7194932 1.2995268 1.0214580 1.5568378
## 127 2.0648425 1.7275664 1.5935148 1.0766734 2.4925572 1.0349769 0.4565170
## 128 2.0889331 1.8666951 1.6678298 1.4494390 2.2282354 0.7249631 0.8206975
## 129 1.6221925 2.1020830 1.2434089 0.8790501 2.1581834 0.9768396 0.3877679
## 130 0.9322025 3.0968168 0.4650710 1.3226385 1.8215257 1.1652370 1.2814932
## 131 0.6464938 3.2371182 0.3118788 1.1110502 2.0116500 1.5367464 1.3101099
## 132 1.8788527 4.8305730 2.2046974 3.3436705 1.1765724 2.3012335 3.1711127
## 133 1.6274888 2.1386109 1.2909478 0.9450977 2.1300881 1.0029209 0.4862320
## 134 2.0042048 1.8752397 1.4587694 1.0095635 2.5675123 1.1536115 0.5961889
## 135 2.2995230 1.6419160 1.7339038 0.9305231 3.0316963 1.6817018 0.8019101
## 136 0.4045414 3.7670571 0.8538744 1.7981874 1.5259039 1.6692549 1.8490947
## 137 1.9449046 2.8902747 1.8844530 2.2648202 1.2203566 0.7902483 1.7472776
## 138 1.6419160 2.3482757 1.2638070 1.4335539 1.7911394 0.4329093 0.9339400
## 139 2.2199216 1.7682367 1.7998085 1.5334382 2.3196301 0.8202866 0.8969456
## 140 1.1087525 2.8746760 0.9266707 1.4695320 1.3710613 0.5762550 1.1308607
## 141 1.3075635 2.8020945 1.2298043 1.5897775 1.3334024 0.6830670 1.1969206
## 142 1.2482402 2.9092249 1.1559702 1.5939900 1.3553331 0.6639890 1.2227064
## 143 2.4473945 1.2554694 1.9927869 1.2515132 2.8394630 1.4309956 0.7333838
## 144 1.1704681 3.0153838 1.1488956 1.7399159 1.0757410 0.7010926 1.3929031
## 145 1.4799767 3.1076609 1.5251555 2.0531340 0.9432249 0.8104214 1.6423015
## 146 1.3707981 2.6111164 1.1816196 1.3644568 1.6088219 0.6534500 0.9399908
## 147 2.1612332 1.7342116 1.6911828 0.6752223 2.9254564 1.6303320 0.5039975
## 148 1.5526763 2.3154958 1.2013029 1.2484533 1.8165243 0.4623398 0.7132600
## 149 2.0570737 2.7582273 1.9418502 2.2604967 1.3765942 0.7249741 1.7076754
## 150 2.2564640 1.7050054 1.8366129 1.5513003 2.3502894 0.8968897 0.9318676
## 113 114 115 116 117 118 119
## 2
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## 114 1.7826958
## 115 1.3693698 0.8757354
## 116 0.7249631 1.8648367 1.1820574
## 117 0.5349370 1.5486651 1.2633733 0.8174697
## 118 2.2426264 3.9655321 3.3791730 2.2373572 2.4912494
## 119 1.6496314 2.6831855 2.5558179 2.2762014 2.0003759 2.7585895
## 120 2.2365121 1.0174859 1.8304697 2.5743905 1.9921114 4.4114179 2.7049728
## 121 0.5539087 2.2341515 1.6551638 0.6449323 0.9418138 1.7794412 1.8139442
## 122 1.5631208 0.7010908 0.5886894 1.4077660 1.2554694 3.5782287 2.8426185
## 123 1.3678948 2.6897275 2.5222252 2.0225513 1.6856893 2.3092367 0.6150517
## 124 1.0529748 0.8986768 1.0245400 1.3461601 0.8047317 3.2469397 2.1505645
## 125 0.7079231 2.2364288 1.6636237 0.5514351 0.8365465 1.7642043 2.1374143
## 126 0.8240249 2.5000636 2.1401300 1.2332431 1.0026854 1.6407802 1.7174836
## 127 1.0235759 0.9591725 0.9390611 1.1878735 0.7064290 3.1589389 2.3102676
## 128 0.9924873 1.2733136 0.9870429 0.9074328 0.5906461 2.9012616 2.5078902
## 129 0.6686542 1.1493800 0.8718621 0.9694964 0.6190683 2.8519960 1.8128339
## 130 0.8321712 2.2534505 2.0803233 1.4378801 0.9012944 2.1477711 1.5615502
## 131 0.9591317 2.2569763 2.1176945 1.6677324 1.2347343 2.3802118 0.9069513
## 132 2.3260610 4.0722479 3.5373537 2.3915432 2.5604643 0.3950466 2.8059279
## 133 0.6814030 1.1716267 0.8210273 0.9424906 0.7097367 2.8489770 1.7985362
## 134 1.1162892 1.1967658 1.3261702 1.4039777 0.6892976 3.1284190 2.2825880
## 135 1.5502822 1.0105022 1.4639600 1.8572048 1.1636710 3.5781330 2.3811537
## 136 1.1686121 2.7735590 2.4110992 1.6972272 1.6266143 1.8712349 1.0235085
## 137 1.1682908 2.2758608 1.5296275 0.5207927 1.2342428 2.0390552 2.6051355
## 138 0.6639890 1.6609085 1.2921724 0.7041030 0.2592702 2.4044456 2.1999621
## 139 1.1160216 1.2364740 0.9577993 0.9769347 0.7223803 3.0028844 2.6272315
## 140 0.2653865 2.0158275 1.5563279 0.6994903 0.6664010 2.0179479 1.7436040
## 141 0.4746932 1.9350003 1.3172871 0.4795658 0.8566189 2.1200788 1.8258792
## 142 0.4329093 2.0379201 1.5018601 0.6557953 0.8761330 2.0859753 1.8135588
## 143 1.4325859 0.4955334 0.6949282 1.4591669 1.1211134 3.5510914 2.5753575
## 144 0.5750987 2.1814428 1.5884454 0.5906461 0.9074328 1.8162634 1.8431287
## 145 0.8812147 2.3269487 1.6217126 0.5514351 1.1782491 1.8028058 2.1374143
## 146 0.3351275 1.7152402 1.1883835 0.5873773 0.7193773 2.3593199 1.7966531
## 147 1.3526257 0.7363609 1.1277530 1.7023735 1.2131375 3.5827939 2.0844363
## 148 0.4211248 1.5040377 1.0971542 0.6190683 0.3126127 2.5019414 2.0061287
## 149 1.1996947 2.1987408 1.4745761 0.5216255 1.1861481 2.1640404 2.7151705
## 150 1.1779358 1.2026313 0.9191015 1.0090923 0.7591833 3.0316343 2.6527965
## 120 121 122 123 124 125 126
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## 121 2.7755702
## 122 1.6005560 1.9149756
## 123 2.7326415 1.5004524 2.7333399
## 124 1.2670038 1.5737246 0.9143787 2.0048953
## 125 2.8036707 0.4240501 1.8174580 1.7642043 1.5775168
## 126 2.7999270 0.7683896 2.2433842 1.1970279 1.6986764 0.7752522
## 127 1.4563711 1.4990046 0.7727037 2.1233532 0.2653865 1.4475343 1.6621263
## 128 1.8818827 1.3340060 0.8024896 2.2477864 0.7294317 1.1657737 1.5373580
## 129 1.6921642 1.1308607 1.0525265 1.6941527 0.6159250 1.2043234 1.4077660
## 130 2.3856727 1.0901268 2.1164369 1.0537805 1.4084718 1.1277530 0.5405840
## 131 2.3274514 1.2383531 2.2813251 0.5137976 1.5154456 1.4665355 0.9596625
## 132 4.4496213 1.9145397 3.7014268 2.3132107 3.3005179 1.8948472 1.6521914
## 133 1.7570342 1.1077957 1.0767760 1.7093238 0.7069966 1.2114481 1.4499261
## 134 1.4245719 1.6075671 1.0759781 2.0273630 0.4694430 1.5114263 1.5615093
## 135 0.9947433 2.0556375 1.1627541 2.2252851 0.7372893 1.9876660 1.9965737
## 136 3.0121949 1.0932767 2.6942508 0.6935238 2.0553669 1.4325859 1.0043109
## 137 3.0365569 0.8694743 1.7441818 2.3274514 1.8319608 0.6664010 1.4362426
## 138 2.1753362 0.9275535 1.2615331 1.8626136 0.9860541 0.7138225 1.0325807
## 139 1.8805652 1.4429305 0.7182928 2.3775070 0.7798708 1.2661634 1.6651434
## 140 2.4730272 0.3877679 1.7423630 1.4023631 1.2658357 0.5456783 0.6740307
## 141 2.5471318 0.3624815 1.6343180 1.6111428 1.3610255 0.6071752 1.0431633
## 142 2.5592287 0.4100728 1.7624225 1.5438567 1.3454873 0.6732405 0.9349357
## 143 1.2856362 1.8631896 0.3755259 2.4811458 0.6282052 1.8057122 2.1098552
## 144 2.7492822 0.1655887 1.8487995 1.5439427 1.5593941 0.3858795 0.8166011
## 145 2.9936778 0.4240501 1.9277526 1.8776297 1.7824197 0.5247707 1.1355513
## 146 2.2798605 0.5908537 1.4693435 1.5955706 1.0799280 0.7891803 1.1003657
## 147 0.9382824 1.8806557 1.0994367 2.0680318 0.4805930 1.9565815 2.0245048
## 148 2.0436497 0.8240249 1.1919377 1.7414442 0.7935977 0.7934142 1.0951591
## 149 2.9649594 0.9767470 1.6294433 2.4235323 1.7619087 0.7176060 1.4881993
## 150 1.8818827 1.4881993 0.6507573 2.4137173 0.8484761 1.2951924 1.7132229
## 127 128 129 130 131 132 133
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## 127
## 128 0.4778513
## 129 0.6470023 0.8086691
## 130 1.4348060 1.4468615 1.2597756
## 131 1.6308246 1.7760936 1.2678515 0.6728064
## 132 3.2200587 2.9807366 2.9610238 2.1152536 2.3821030
## 133 0.7342293 0.8800149 0.1311927 1.3328020 1.3013474 2.9697301
## 134 0.4453853 0.6607751 0.8452351 1.2515132 1.5365275 3.1574952 0.9685928
## 135 0.8401728 1.1290791 1.0886540 1.6396692 1.7848583 3.6235203 1.2013910
## 136 2.1129364 2.1507729 1.6805586 1.1121328 0.7856128 1.9002382 1.6651254
## 137 1.6536365 1.2951390 1.4368123 1.7713992 2.0420800 2.2486441 1.4065461
## 138 0.8302466 0.5471871 0.7948888 1.0410214 1.4369575 2.4878400 0.8673689
## 139 0.5185405 0.1333894 0.8967533 1.5779117 1.9048607 3.0860764 0.9615857
## 140 1.2077941 1.1050459 0.9225864 0.8157956 1.0317048 2.0918201 0.9318676
## 141 1.2896968 1.1638328 0.8717185 1.2375802 1.3034003 2.2715739 0.8208749
## 142 1.2835533 1.1954592 0.9936800 1.0883449 1.1977520 2.1759645 0.9673496
## 143 0.5762550 0.7968920 0.8524806 1.9090044 2.0265684 3.6551445 0.9015435
## 144 1.4784397 1.2947346 1.0831729 1.1359854 1.2866361 1.9735011 1.0590699
## 145 1.6684772 1.4309050 1.3136892 1.4952163 1.6436225 2.0008804 1.2670038
## 146 1.0279955 0.9920607 0.6797003 1.1504265 1.2084965 2.4669501 0.6405919
## 147 0.7199768 1.1809689 0.8201755 1.6904126 1.6206962 3.6435304 0.8710599
## 148 0.6797003 0.5753843 0.5419296 1.0514332 1.2918870 2.5863673 0.5876413
## 149 1.5622908 1.1693127 1.4265199 1.7875351 2.1041932 2.3521707 1.4083056
## 150 0.6088380 0.2667788 0.9001506 1.6403484 1.9570400 3.1326436 0.9647547
## 134 135 136 137 138 139 140
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## 133
## 134
## 135 0.6052435
## 136 2.1192928 2.4596747
## 137 1.8355650 2.2689806 1.9488591
## 138 0.8334064 1.3136892 1.7501730 1.0541076
## 139 0.7249741 1.1565197 2.2775673 1.3410587 0.6657451
## 140 1.2834511 1.7622411 1.1009468 1.0800421 0.7229848 1.2265191
## 141 1.4769674 1.8873526 1.2682469 0.8408781 0.8683764 1.2618360 0.4754730
## 142 1.4492373 1.9296763 1.1431949 1.0469894 0.9199052 1.3011885 0.3126127
## 143 0.8322355 0.8333085 2.5168946 1.8585836 1.1982350 0.7603701 1.6445546
## 144 1.5854656 2.0081237 1.1851881 0.7881850 0.8761330 1.4008863 0.4650710
## 145 1.8400942 2.2781671 1.4325859 0.5535324 1.0945334 1.5138132 0.7570661
## 146 1.2444419 1.6771072 1.3108406 1.0696222 0.8019101 1.0937259 0.4389240
## 147 0.8673689 0.8104214 2.1995499 2.1930413 1.4166726 1.2154149 1.5937840
## 148 0.8380818 1.3215502 1.5858413 1.1078173 0.4061376 0.6962641 0.5621610
## 149 1.7435434 2.1886842 2.0690057 0.2112608 0.9826330 1.2026396 1.1212433
## 150 0.7738173 1.1207764 2.3401553 1.3324322 0.6845254 0.2084811 1.3018445
## 141 142 143 144 145 146 147
## 2
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## 141
## 142 0.3946778
## 143 1.5918524 1.6977095
## 144 0.3366202 0.5221056 1.8041804
## 145 0.4805930 0.6732405 1.9522718 0.3858795
## 146 0.3481266 0.3379073 1.3905447 0.6183622 0.7891803
## 147 1.6352654 1.6427268 0.7604949 1.8652429 2.0926012 1.3555414
## 148 0.6615890 0.6664010 1.0994367 0.8086691 1.0210693 0.4617778 1.1850377
## 149 0.9318676 1.1032774 1.7654552 0.9032104 0.7176060 1.1043671 2.1459103
## 150 1.2983980 1.3933064 0.7110069 1.4239017 1.5381755 1.1691272 1.2528739
## 148 149
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## 145
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## 147
## 148
## 149 1.0682649
## 150 0.7727037 1.1969206
# Single,Complete,Average Linkage
iclust1<-hclust(irisdistance,method="single")
iclust1
##
## Call:
## hclust(d = irisdistance, method = "single")
##
## Cluster method : single
## Distance : euclidean
## Number of objects: 150
plot(iclust1,col='green')
iclust2<-hclust(irisdistance,method="complete")
iclust2
##
## Call:
## hclust(d = irisdistance, method = "complete")
##
## Cluster method : complete
## Distance : euclidean
## Number of objects: 150
plot(iclust2,col="brown")
iclust3<-hclust(irisdistance,method="average")
iclust3
##
## Call:
## hclust(d = irisdistance, method = "average")
##
## Cluster method : average
## Distance : euclidean
## Number of objects: 150
plot(iclust3,col='blue')
# Non Heirarchial Clustering (K Means)
k_irisdata<-kmeans(iris_data1,9)
k_irisdata
## K-means clustering with 9 clusters of sizes 7, 17, 9, 16, 22, 28, 14, 19, 18
##
## Cluster means:
## Sepal.Length Sepal.Width Petal.Length Petal.Width
## 1 0.51698195 -1.5081078 0.71974888 0.46941989
## 2 0.82142725 0.0169147 0.57360746 0.47162481
## 3 1.92013650 -0.3099829 1.42110076 1.03583907
## 4 0.26467290 -0.6047344 0.77437340 0.91102381
## 5 -1.34779164 0.1187465 -1.31000270 -1.29316224
## 6 -0.74671975 1.4252951 -1.29326590 -1.21734309
## 7 -0.59576562 -1.4589446 0.00760697 -0.05535081
## 8 -0.03326287 -0.4454931 0.28317863 0.15278193
## 9 1.13517504 0.5057616 1.08750903 1.40026317
##
## Clustering vector:
## 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
## 6 5 5 5 6 6 5 6 5 5 6 5 5 5 6 6 6 6 6 6
## 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
## 6 6 6 5 5 5 6 6 6 5 5 6 6 6 5 5 6 6 5 6
## 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
## 6 5 5 6 6 5 6 5 6 5 2 2 2 7 2 8 2 7 2 7
## 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
## 7 8 7 8 8 2 8 8 1 7 2 8 1 8 2 2 2 2 8 7
## 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
## 7 7 8 4 8 2 2 1 8 7 7 8 8 7 8 8 8 8 7 8
## 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120
## 9 4 3 4 9 3 7 3 1 9 9 4 9 4 4 9 2 9 3 1
## 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140
## 9 4 3 4 9 3 4 4 4 3 3 9 4 4 1 3 9 2 4 9
## 141 142 143 144 145 146 147 148 149 150
## 9 9 4 9 9 9 1 2 9 4
##
## Within cluster sum of squares by cluster:
## [1] 2.266398 5.977859 3.091184 4.618372 8.032603 13.761588 6.046325
## [8] 3.860582 12.220084
## (between_SS / total_SS = 90.0 %)
##
## Available components:
##
## [1] "cluster" "centers" "totss" "withinss" "tot.withinss"
## [6] "betweenss" "size" "iter" "ifault"
#To find the single complete and average linkage for upper triangular matrix.
#Single Linkage
C<-matrix(nrow=5,ncol=5)
C
## [,1] [,2] [,3] [,4] [,5]
## [1,] NA NA NA NA NA
## [2,] NA NA NA NA NA
## [3,] NA NA NA NA NA
## [4,] NA NA NA NA NA
## [5,] NA NA NA NA NA
C[lower.tri(C)]<-c(2,4,7,9,8,9,8,3,7,5)
C
## [,1] [,2] [,3] [,4] [,5]
## [1,] NA NA NA NA NA
## [2,] 2 NA NA NA NA
## [3,] 4 8 NA NA NA
## [4,] 7 9 3 NA NA
## [5,] 9 8 7 5 NA
diag(C)<-0
C
## [,1] [,2] [,3] [,4] [,5]
## [1,] 0 NA NA NA NA
## [2,] 2 0 NA NA NA
## [3,] 4 8 0 NA NA
## [4,] 7 9 3 0 NA
## [5,] 9 8 7 5 0
C[upper.tri(C)]<-0
C
## [,1] [,2] [,3] [,4] [,5]
## [1,] 0 0 0 0 0
## [2,] 2 0 0 0 0
## [3,] 4 8 0 0 0
## [4,] 7 9 3 0 0
## [5,] 9 8 7 5 0
D<-t(C)
D
## [,1] [,2] [,3] [,4] [,5]
## [1,] 0 2 4 7 9
## [2,] 0 0 8 9 8
## [3,] 0 0 0 3 7
## [4,] 0 0 0 0 5
## [5,] 0 0 0 0 0
#To calculate the distance
Ddistance<-dist(D,method="euclidean")
Ddistance
## 1 2 3 4
## 2 5.000000
## 3 6.324555 10.049876
## 4 9.219544 12.409674 3.605551
## 5 12.247449 14.456832 7.615773 5.000000
#Single Linkage
Dclust1<-hclust(Ddistance,method="single")
Dclust1
##
## Call:
## hclust(d = Ddistance, method = "single")
##
## Cluster method : single
## Distance : euclidean
## Number of objects: 5
plot(Dclust1)
#Complete Linkage
Dclust2<-hclust(Ddistance,method="complete")
Dclust2
##
## Call:
## hclust(d = Ddistance, method = "complete")
##
## Cluster method : complete
## Distance : euclidean
## Number of objects: 5
plot(Dclust2)
#Average Linkage
Dclust3<-hclust(Ddistance,method="average")
Dclust3
##
## Call:
## hclust(d = Ddistance, method = "average")
##
## Cluster method : average
## Distance : euclidean
## Number of objects: 5
plot(Dclust3)
