Base “Forest Fires”

#Se importa la base a ser analizada: Forest Fires

data_forest=read.csv("https://raw.githubusercontent.com/geovannychoez/prueba/master/forestfires.csv")

View(data_forest)

Se detectan 507 observaciones y 13 variables.

names(data_forest)
##  [1] "X"     "Y"     "month" "day"   "FFMC"  "DMC"   "DC"    "ISI"   "temp" 
## [10] "RH"    "wind"  "rain"  "area"
str(data_forest)
## 'data.frame':    517 obs. of  13 variables:
##  $ X    : int  7 7 7 8 8 8 8 8 8 7 ...
##  $ Y    : int  5 4 4 6 6 6 6 6 6 5 ...
##  $ month: chr  "mar" "oct" "oct" "mar" ...
##  $ day  : chr  "fri" "tue" "sat" "fri" ...
##  $ FFMC : num  86.2 90.6 90.6 91.7 89.3 92.3 92.3 91.5 91 92.5 ...
##  $ DMC  : num  26.2 35.4 43.7 33.3 51.3 ...
##  $ DC   : num  94.3 669.1 686.9 77.5 102.2 ...
##  $ ISI  : num  5.1 6.7 6.7 9 9.6 14.7 8.5 10.7 7 7.1 ...
##  $ temp : num  8.2 18 14.6 8.3 11.4 22.2 24.1 8 13.1 22.8 ...
##  $ RH   : int  51 33 33 97 99 29 27 86 63 40 ...
##  $ wind : num  6.7 0.9 1.3 4 1.8 5.4 3.1 2.2 5.4 4 ...
##  $ rain : num  0 0 0 0.2 0 0 0 0 0 0 ...
##  $ area : num  0 0 0 0 0 0 0 0 0 0 ...

De las 13 variables solo dos no son numéricas, por tanto no se las considera para la matriz de correlacion

#Se importan librerias para graficas

knitr::opts_chunk$set(echo = TRUE)
library(highcharter)
## Registered S3 method overwritten by 'quantmod':
##   method            from
##   as.zoo.data.frame zoo
## Highcharts (www.highcharts.com) is a Highsoft software product which is
## not free for commercial and Governmental use
if (!requireNamespace("corrplot", quietly = TRUE)) {
  install.packages("corrplot")
}
library(corrplot)
## corrplot 0.92 loaded

Se crea “variables_numericas”, matriz que contiene las 11 de las 13 variables numericas.

#La razón se debe a que este dataframe excluye variables no numéricas para poder graficar matriz de correlacion, findamental para empezar el modelo de regresion.

variables_numericas= data_forest[,c(1:2,5:13)]
View(variables_numericas)

matriz_corr <- cor(variables_numericas)
matriz_corr
##                 X            Y        FFMC          DMC          DC
## X     1.000000000  0.539548171 -0.02103927 -0.048384178 -0.08591612
## Y     0.539548171  1.000000000 -0.04630755  0.007781561 -0.10117777
## FFMC -0.021039272 -0.046307546  1.00000000  0.382618800  0.33051180
## DMC  -0.048384178  0.007781561  0.38261880  1.000000000  0.68219161
## DC   -0.085916123 -0.101177767  0.33051180  0.682191612  1.00000000
## ISI   0.006209941 -0.024487992  0.53180493  0.305127835  0.22915417
## temp -0.051258262 -0.024103084  0.43153226  0.469593844  0.49620805
## RH    0.085223194  0.062220731 -0.30099542  0.073794941 -0.03919165
## wind  0.018797818 -0.020340852 -0.02848481 -0.105342253 -0.20346569
## rain  0.065387168  0.033234103  0.05670153  0.074789982  0.03586086
## area  0.063385299  0.044873225  0.04012200  0.072994296  0.04938323
##               ISI        temp          RH        wind         rain         area
## X     0.006209941 -0.05125826  0.08522319  0.01879782  0.065387168  0.063385299
## Y    -0.024487992 -0.02410308  0.06222073 -0.02034085  0.033234103  0.044873225
## FFMC  0.531804931  0.43153226 -0.30099542 -0.02848481  0.056701533  0.040122004
## DMC   0.305127835  0.46959384  0.07379494 -0.10534225  0.074789982  0.072994296
## DC    0.229154169  0.49620805 -0.03919165 -0.20346569  0.035860862  0.049383225
## ISI   1.000000000  0.39428710 -0.13251718  0.10682589  0.067668190  0.008257688
## temp  0.394287104  1.00000000 -0.52739034 -0.22711622  0.069490547  0.097844107
## RH   -0.132517177 -0.52739034  1.00000000  0.06941007  0.099751223 -0.075518563
## wind  0.106825888 -0.22711622  0.06941007  1.00000000  0.061118880  0.012317277
## rain  0.067668190  0.06949055  0.09975122  0.06111888  1.000000000 -0.007365729
## area  0.008257688  0.09784411 -0.07551856  0.01231728 -0.007365729  1.000000000

#Se grafica matriz de correlacion

corrplot(matriz_corr, 
         method = "color", 
         type = "upper", 
         tl.col = "black", 
         tl.srt = 45, 
         title = "Matriz de Correlación",
         addCoef.col = "black") 

Se selecciona variable “temp” como “y” del modelo por ser la que mayor relación guarda con las demas variables: FFMC, DMC, DC, ISI

#temp: Temperatura en grado celcius

#FFMC: contenido de humedad de la hojarasca y de otros combustibles finos

#DMC: contenido de humedad de la materia orgánica poco profunda y poco compacta

#DC: contenido de humedad de la materia orgánica profunda y compacta

#ISI: velocidad de propagación del fuego

#Para facilitar la escritura se renombra matriz

ndata <- variables_numericas

MODELO REGRESION LINEAL MULTIPLE

modelo_lineal <- lm(
  ndata$temp ~ ndata$FFMC+ndata$DMC+ndata$DC+ndata$ISI)
modelo_lineal
## 
## Call:
## lm(formula = ndata$temp ~ ndata$FFMC + ndata$DMC + ndata$DC + 
##     ndata$ISI)
## 
## Coefficients:
## (Intercept)   ndata$FFMC    ndata$DMC     ndata$DC    ndata$ISI  
##   -5.616860     0.188815     0.012710     0.006981     0.239058

Se obtiene: Y=B0+B1(ndata\(FFMC)+B2(ndata\)DMC)+B3(ndata\(DC)+B4(ndata\)ISI)

#B0= -5.616860 | B1= 0.188815 | B2= 0.012710 | B3= 0.006981 | B4= 0.239058

#INFERENCIA SOBRE LOS COEFICIENTE

summary(modelo_lineal)
## 
## Call:
## lm(formula = ndata$temp ~ ndata$FFMC + ndata$DMC + ndata$DC + 
##     ndata$ISI)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -17.710  -3.009  -0.042   2.908  12.188 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -5.616860   3.824265  -1.469  0.14252    
## ndata$FFMC   0.188815   0.045695   4.132 4.20e-05 ***
## ndata$DMC    0.012710   0.004513   2.816  0.00504 ** 
## ndata$DC     0.006981   0.001133   6.159 1.48e-09 ***
## ndata$ISI    0.239058   0.053412   4.476 9.39e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 4.644 on 512 degrees of freedom
## Multiple R-squared:  0.3653, Adjusted R-squared:  0.3603 
## F-statistic: 73.67 on 4 and 512 DF,  p-value: < 2.2e-16

PRUEBA F DE SIGNIFICANCIA GLOBAL |

#Con p-value: < 2.2e-16 menor a 0.05, RECHAZO H0: (b1=b2…=bp=0)

PRUEBA T-STUDENT DE SIGNIFICANCIA INDIVIDUAL |

#Si Pr(>|t|) es menor a significancia, RECHAZO H0: bi=0

#0.14252 es mayor 0.025 (el intercepto no afecta a los estimadores del modelo)

#4.20e-05 es menor 0.025 RECHAZO H0

#0.00504 es menor 0.025 RECHAZO H0

#1.48e-09 es menor 0.025 RECHAZO H0

#9.39e-06 es menor 0.025 RECHAZO H0

#LOS DATOS SE AJUSTAN Adjusted R-squared: 0.3603 AL MODELO, POR TANTO EL MODELO NO ES LO SUFICIENTEMENTE FIABLE PARA LAS PREVISIONES FUTURAS

CONCLUSION DEL MODELO

El modelo de muestra de regresion lineal mùltiple indica que las variables seleccionadas, explican a “y” màs no logran predecirla

ANALISIS DE COMPONENTES PRINCIPALES

#Lo esencial en el análisis de componentes principales es que las primeras componentes representan gran parte de los datos originales

#Se crea la PCA

pca <- prcomp(ndata)
names(pca)
## [1] "sdev"     "rotation" "center"   "scale"    "x"
n=dim(ndata)[1]

#Se muestran las variables, observaciones y varianza al cuadrado

pca$rotation#variables
##                PC1           PC2           PC3          PC4          PC5
## X    -7.819190e-04  2.488328e-03 -0.0005697346  0.011798858  0.027338102
## Y    -4.754947e-04  1.081128e-03 -0.0027724149  0.003454125 -0.002114687
## FFMC  7.398961e-03  3.025536e-03 -0.0237853334 -0.121240890  0.735044642
## DMC   1.794776e-01  7.444924e-02 -0.9786342559 -0.045510859 -0.044016316
## DC    9.835559e-01 -2.772354e-02  0.1778373653  0.013752059 -0.002063621
## ISI   4.269470e-03  5.291811e-04 -0.0194478150 -0.054351708  0.625655872
## temp  1.157550e-02  7.505650e-03 -0.0184970530 -0.200603336  0.193120323
## RH   -2.277440e-03 -1.808009e-02 -0.0581992174  0.969076135  0.164370418
## wind -1.434205e-03  7.288005e-04 -0.0019957919  0.006553691  0.034985687
## rain  4.474913e-05 -2.789263e-05 -0.0004544487  0.001451533  0.005389861
## area  1.380289e-02  9.966384e-01  0.0772231484  0.023231995  0.002103103
##               PC6          PC7          PC8           PC9          PC10
## X    -0.033409162 -0.032623339  0.943062070 -0.0210684304  3.272017e-01
## Y    -0.021480529 -0.020147271  0.326814765  0.0302131970 -9.441314e-01
## FFMC  0.481308595 -0.460180664 -0.015965167 -0.0244893957 -9.466505e-03
## DMC   0.017463059  0.013618842  0.001430389  0.0033995550  2.716830e-03
## DC    0.003781460  0.003490429  0.001365510 -0.0009028741 -7.110235e-04
## ISI  -0.281690008  0.713187183  0.002053551  0.1310850713 -5.447118e-03
## temp -0.816972491 -0.482938810 -0.053566062 -0.1350238737  4.902382e-03
## RH   -0.123914619 -0.117700413 -0.025499343 -0.0167109985 -7.084450e-04
## wind  0.065148471  0.175520027 -0.001805085 -0.9808450364 -3.731146e-02
## rain -0.007114436 -0.006075132  0.005696857 -0.0166976950  3.322178e-03
## area  0.001452656  0.001574642 -0.002788275  0.0011759949 -6.252250e-06
##               PC11
## X    -7.413450e-03
## Y     1.509536e-03
## FFMC -3.455556e-03
## DMC   9.919656e-05
## DC    5.481946e-05
## ISI   1.221807e-03
## temp -1.147289e-02
## RH   -4.048367e-03
## wind -1.491600e-02
## rain  9.997794e-01
## area  7.267633e-05
pca$x#obs
##                 PC1           PC2           PC3          PC4          PC5
##   [1,] -461.7491091   -6.73997739    1.17746514   6.76457818  -1.88967203
##   [2,]  105.4526360  -21.58268873   95.13983837  -5.82060955  -0.51243641
##   [3,]  124.4096648  -21.48346677   90.24477081  -5.26889021  -1.55711911
##   [4,] -477.0421931   -6.55626552  -11.64222974  49.88691013  11.82747568
##   [5,] -449.4984860   -5.92238489  -24.98890498  50.96733114  10.44486428
##   [6,]  -63.6171337  -12.72578683   14.04363818 -15.89366229   4.25386206
##   [7,]  -55.4926132  -12.62300473   12.07853965 -17.95037724   0.15837409
##   [8,]   65.0802958  -12.72777195  -26.34772047  41.40346738   4.78462603
##   [9,]  145.3260512  -15.79839955    5.54374790  20.25862927  -0.05578498
##  [10,]  143.9585210  -18.56573601   48.35176778  -2.21648586   0.94218711
##  [11,]  143.8710022  -18.79981310   47.79767512   9.46734012   1.89661430
##  [12,]  155.4978949  -20.04780343   65.26897421  -3.45975984  10.47742990
##  [13,]  107.7345207  -19.63675964   58.31467766  34.14659068 -19.28306152
##  [14,]  138.9365616  -15.42009791    8.47802743  -1.72017147  -2.01736025
##  [15,]  153.1693450  -14.85016923    5.18588639 -23.57015123  -1.88357049
##  [16,]  168.5809074  -15.09622546   -1.37880730  -1.04022086   4.10987689
##  [17,] -473.1139494   -5.15314051   -9.52867103 -19.34566114   0.73512920
##  [18,]  100.0546727  -21.91600889   96.21834947   8.99182596  -4.67726783
##  [19,] -484.3995407   -5.61066105   -3.96259360 -11.14772018  -0.22266868
##  [20,] -458.7459518   -6.59831762    0.89345077  -0.29752089  -2.91511779
##  [21,]  145.4450121  -15.35263474    6.79821817  -3.12146012  -2.97698710
##  [22,]  167.5002867  -19.98512140   62.38636676  -2.69146632   0.96532420
##  [23,] -344.7604569   -4.18002040  -49.63409106  -8.09525662  33.91546389
##  [24,]  -10.5486527  -12.47802650   -2.76850805  -1.57018391  -2.06592065
##  [25,]   50.5907192  -11.68306985  -20.34862402 -14.75495196   6.81282652
##  [26,]   58.0049496  -12.23289420  -23.25740633  14.60532272   2.21275083
##  [27,]  119.2166960  -15.40877720   13.97063892  -9.30696478   1.15159573
##  [28,]  138.9018879  -15.54208792    8.16797542   4.47787809  -1.40010069
##  [29,]  176.8222328  -14.58196885   -3.00498282 -21.69564047  -1.61363038
##  [30,]  184.4834267  -14.81701102   -6.28151220  -5.75973705  -0.65869462
##  [31,]  137.3613651  -18.29302368   50.74548537 -18.91578639   5.74677042
##  [32,]  155.5016129  -19.38404043   44.73720790  37.39558861   1.99365197
##  [33,]  148.6910877  -20.13650382   68.06288249  -3.22639987  -2.96731593
##  [34,]  161.0516688  -20.06225123   64.15509051  -1.28961684   0.11087243
##  [35,]  167.5379535  -19.85947178   62.69892094  -8.91884540   0.41410716
##  [36,]  173.6066729  -20.42893313   59.99316490  21.08753985   1.80285271
##  [37,]  105.5120566  -21.39314277   95.59134953 -15.27618680  -1.17649992
##  [38,]  119.6840530  -22.03874386   90.08991973  21.59005773   3.30302085
##  [39,]  124.4569742  -21.35008150   90.53215932 -11.71103686  -1.82878055
##  [40,] -487.9962100   -5.85446008   -2.73245945  -2.74078106  -1.62472881
##  [41,] -187.5047349  -11.39770578   16.73186891  -6.70557465 -10.73404103
##  [42,]   72.3134410  -15.92227578   26.39460470  -0.66401350  -0.36687365
##  [43,]   96.9052331  -15.92163842   18.38120863  10.11560775   9.11244838
##  [44,]  143.9079456  -18.74388837   47.95244076   6.13068340   1.51378441
##  [45,]  179.3210096  -20.67862736   58.22218941  33.76732481   2.39120307
##  [46,]  137.3659346  -18.28822428   50.72769102 -19.01490307   5.82364270
##  [47,]  138.7946935  -15.97626464    6.96553310  26.73877276   1.32994450
##  [48,] -112.1070479  -13.31120611   28.14206330  -8.91200769   5.61091065
##  [49,] -491.1840733   -5.78391286   -0.96114052  -9.90305092  -3.80398556
##  [50,] -447.6810685   -4.96127366  -22.36344306   0.09581930  -2.47970567
##  [51,]  160.4725080  -14.74132834    3.12091251 -26.44597692  -3.96393468
##  [52,]   79.7328543  -15.75315598   25.46772444  -8.95673912  -2.99847956
##  [53,]  104.3315469  -15.66784826   17.62803720  -1.58849355   1.10191578
##  [54,]  104.3315469  -15.66784826   17.62803720  -1.58849355   1.10191578
##  [55,]  111.9151019  -15.71582517   15.82818058   2.05769255  -1.50118215
##  [56,]  160.5356215  -14.81652520    2.58686452 -21.04416280  -1.44720972
##  [57,]  173.6007554  -20.45470062   59.94270566  22.11588107   1.84929307
##  [58,]  129.7082263  -21.72458376   87.31468536  10.91954553   3.70237126
##  [59,] -524.0215551   -6.10965294    7.65198075  -4.74690534  -5.39854237
##  [60,] -514.4738084   -6.27342265    4.71015352   5.66153027  -0.33391724
##  [61,] -449.3598253   -4.85316811  -21.49227674  -7.25569217   0.58632411
##  [62,] -449.4755442   -5.25943944  -22.54627666  13.33272739   2.73250338
##  [63,]  -86.5304238  -13.03220048   19.87294674  -9.02863277   1.02967757
##  [64,]   79.7283511  -15.74602323   25.54178559  -9.80916792  -3.33310288
##  [65,]   87.8846245  -15.63253179   23.43164024 -12.34735077  -3.02910272
##  [66,]  111.9297034  -15.69564129   15.86999842   0.86685956  -1.49350664
##  [67,]  119.2628907  -15.44854621   13.73304109  -7.27657206   2.23924575
##  [68,]  119.2313530  -15.40108913   14.02693173 -10.46492693   0.95664210
##  [69,]  119.2300622  -15.40043321   14.02513552 -10.45902861   0.98812922
##  [70,] -476.7745958   -5.21644320   -7.67056472 -20.75052815   1.78512402
##  [71,] -454.1279326   -4.68848184  -18.83464503 -20.01339753   2.90771860
##  [72,]  137.2432399  -18.58867278   50.12691749  -4.78984042   6.33765379
##  [73,] -476.7937272   -5.20765311   -7.58415997 -21.37849757   1.40418812
##  [74,]   71.7960503  -11.93074978  -24.65626100  -1.73973314  -3.62946812
##  [75,]  168.6743340  -14.81438516   -0.63942951 -15.59224554   2.54769182
##  [76,] -531.9008409   -6.82290760    6.51350963  34.26649950   3.49352784
##  [77,] -514.4281894   -6.07667316    5.08507149  -2.65194115  -0.73873907
##  [78,] -447.7648422   -5.46213517  -23.81681042  25.77688215   1.09813935
##  [79,]  -18.6158598  -12.95141982   -2.63682134  21.28061953   4.53082491
##  [80,]   15.1946730  -11.94601750   -7.21425873 -25.59751733  -5.14831741
##  [81,]   58.0941691  -11.84563050  -22.08724631  -6.45900987  -0.74935503
##  [82,]   79.6712293  -15.96952335   24.95680328   1.41734354  -2.12990817
##  [83,]   96.9398039  -15.86267001   18.52786242   6.75896953   8.89630572
##  [84,]  104.2847309  -15.79823151   17.41979470   3.95411434   0.97006828
##  [85,]  111.9480195  -15.70485659   15.78456986   1.49727318  -1.07896893
##  [86,]  160.4890361  -14.70983296    3.23241536 -28.56947783  -4.24927050
##  [87,]  160.5049868  -14.89657458    2.45929171 -17.71439742  -1.47817483
##  [88,]  160.4543183  -15.04565217    2.10738835 -10.32905447  -0.90694287
##  [89,]  184.5235829  -14.75752939   -6.14753609  -9.23092221  -0.80358089
##  [90,] -473.0828357   -5.09759341   -9.45438766 -21.73667907   0.86041036
##  [91,]   72.2311467  -16.25200638   25.47154143  16.57366665   1.73395267
##  [92,] -473.0833147   -5.07309113   -9.40109822 -22.67542651   0.76609431
##  [93,]  -63.6414625  -12.78987910   13.89314019 -12.69969089   4.50809198
##  [94,]   58.0646437  -11.90698573  -22.30828070  -2.23468765  -0.20900177
##  [95,]   87.9025743  -15.44859631   23.93617433 -21.04722881  -4.30892479
##  [96,]  149.8857211  -19.06928700   46.24285920  22.44103604   0.14997942
##  [97,] -528.0196735   -6.25274606    7.79875093   3.23339609  -4.11377671
##  [98,] -543.4974761   -5.83638924   12.35890603 -18.98121050 -18.88913748
##  [99,]   57.8934723  -12.76694246  -24.73777390  41.66012028   5.60224708
## [100,]   58.0964177  -11.83689582  -22.09768351  -6.49458322  -0.67245922
## [101,]   58.0964177  -11.83689582  -22.09768351  -6.49458322  -0.67245922
## [102,]   71.7103733  -12.37267900  -25.94185829  21.11306824  -0.43218653
## [103,]   96.9812032  -15.64824434   19.13519157  -4.18634270   7.38352749
## [104,]  126.1473482  -15.23428260   12.24690636 -15.11701607  -1.20043068
## [105,] -549.5148473   -6.59822842    6.71593343  33.89707251  -1.49659502
## [106,] -499.3024854   -6.20720218    1.06726928   6.75039902  -2.24052734
## [107,] -480.3904893   -5.37075227   -5.84918850 -17.86085678   1.38442445
## [108,]   79.7317324  -15.73300828   25.52043232  -9.89294835  -3.15490427
## [109,]  143.9218316  -18.68302149   48.11051974   3.08910826   1.16773697
## [110,]  155.6272528  -18.94416114   45.90289434  14.80106538  -0.56102531
## [111,] -499.2692203   -6.03842123    1.57633549  -2.17862050  -3.54211894
## [112,] -476.7365981   -5.06336289   -7.23122412 -28.83935555   0.75392978
## [113,]  149.9980178  -18.58056855   47.60133378  -2.78560939  -2.94055044
## [114,]  167.5063678  -19.93735891   62.56580330  -5.58217177   0.37891267
## [115,] -487.9463383   -5.55133622   -1.84192661 -18.56671066  -3.78225919
## [116,] -487.9484220   -5.55345423   -1.83655537 -18.51159533  -3.88779137
## [117,] -473.1605474   -5.23905243   -9.63641333 -15.75747458   0.53124492
## [118,] -473.1100354   -5.15881213   -9.52561096 -19.39605016   0.68438687
## [119,] -466.7829069   -5.12436637  -12.32936980 -15.38872698  -2.10309594
## [120,]  -86.5225922  -13.04093731   19.79742774  -8.21312884   1.30867873
## [121,]   65.1391093  -12.50815175  -25.68347958  29.24726354   3.12389662
## [122,]   65.2838339  -11.89429833  -24.01147034  -2.13722751  -0.54641394
## [123,]  132.8308161  -15.42985464    9.70634182  -2.21269914   0.40509765
## [124,]  114.9374097  -19.07791551   57.96656498   5.04660471  -7.01715782
## [125,]  137.2366176  -18.81020972   49.33123358   7.38342599   8.91777273
## [126,]  129.8425872  -21.20290240   88.69449374 -15.63118642   0.80696716
## [127,] -447.7055823   -5.03455612  -22.49606444   3.37231636  -2.52823633
## [128,]  184.4116061  -14.93703016   -6.41356330  -0.79181900  -1.18642328
## [129,]  110.4684223  -21.78294709   92.81560367   7.10799325   0.73163270
## [130,]  129.7641031  -21.44549959   88.15726540  -3.96604794   1.42392770
## [131,] -469.6114383   -6.70616416    5.54009502  -2.86545076 -18.23094747
## [132,] -491.1705325   -5.83661110   -1.24277026  -6.45264568  -2.68038716
## [133,] -449.3883604   -4.97783859  -21.89345683  -0.26010033   1.57783909
## [134,]  129.4979835  -18.79571370   52.65899074   0.13332497   8.13039152
## [135,] -487.9752560   -5.75946230   -2.45846368  -7.75498914  -2.32153743
## [136,]   50.4772121  -12.09932833  -21.40026982   5.80650978   8.81073382
## [137,]  132.7379562  -15.75974188    8.87582664  14.33575482   1.86381593
## [138,]  138.8165022  -15.90253025    7.18381999  22.65505066   0.77410207
## [139,] -242.1524607  -10.56927054   18.91274253  -1.78245222  -4.03909969
## [140,]  145.4994856  -14.87520686    6.88877914  -5.79394511  -2.80239786
## [141,]  138.9605279  -14.90317902    8.68089898  -4.78665975  -2.51695754
## [142,]  -36.0710880  -11.83349714    4.13052360 -14.88867765   5.30060809
## [143,]  -18.5143052  -11.99722091   -1.86440951   5.59176874   3.72165286
## [144,] -258.4119799   -9.74267514   12.17388163   7.92369364   3.38347654
## [145,]  -36.0680403  -11.62217632    4.06938175 -13.98673259   5.61448251
## [146,]   34.1132056  -10.72665457  -14.81529371 -24.71655392   1.21942146
## [147,] -466.7660440   -4.33284910  -12.89002590  -6.16469102   0.14837519
## [148,]  115.0581514  -17.75477055   58.91248031 -12.61037087  -8.43647987
## [149,]   96.9549648  -14.65654125   19.09332092  -0.70184033   7.45615493
## [150,]  129.6176342  -17.31535900   53.61696229 -17.48225923   6.67481623
## [151,] -122.6282466  -12.35766214   32.23682883  -5.45105904   2.81760366
## [152,] -197.2276838   -8.91968526    7.02264519 -16.77432034  -0.63252092
## [153,] -132.6134514  -12.33126818   35.53571831  -1.46243529   1.46078317
## [154,]  137.2662280  -17.29401338   49.61288634   4.47025617   8.52285146
## [155,]  176.8315660  -13.19589979   -3.05843260 -18.68621739  -1.37424067
## [156,]   96.9439271  -14.23734606   18.91924422   3.41696383   7.86508522
## [157,]  176.8224716  -13.05286687   -3.02515149 -18.47706137  -1.55508559
## [158,]  104.3279661  -14.11958442   17.62281380   1.72223804   1.11417154
## [159,]  104.3736624  -13.91060148   18.16039124  -8.38002827  -0.11419403
## [160,]  119.2400229  -13.72445825   14.10114604  -9.26770271   1.15514998
## [161,] -466.6946461   -3.31159055  -12.23824659 -17.37916836  -1.12375886
## [162,]   34.0020266  -10.12790912  -15.70975421  -4.86004581   2.97552290
## [163,] -451.2633146   -2.77073176  -20.09741019 -15.66703976   0.07759662
## [164,]  126.0380772  -13.81116126   10.93906946  12.41714942   2.09035151
## [165,]  149.9017386  -17.10859367   46.21663251  25.45150863   0.78604275
## [166,] -501.9006266   -4.48765414    1.20736641  25.87765661  -1.26269353
## [167,]  104.3110035  -13.50024447   17.58546979   4.07667227   1.10523084
## [168,]   25.1062093   -9.45731858  -12.37015801 -13.54695301   6.90003325
## [169,] -454.1087699   -2.15162480  -18.56360668 -20.64757835   2.63457508
## [170,]   34.0065857   -9.54358518  -15.90284672  -1.03017248   3.69909232
## [171,]  153.1259742  -12.58124238    4.66152836  -9.07361205  -0.56570589
## [172,]   56.7501939  -13.47760791   30.07164280   8.16585924  -3.73269053
## [173,]   58.1345826   -9.09390151  -21.89392014  -6.44391312  -0.49940822
## [174,]  138.9461363  -12.33925578    8.96020142  -3.86095748  -3.25180966
## [175,]   72.2974556  -12.67548211   26.11387054  10.85216031   0.38401228
## [176,]   72.4097212  -11.34777950   26.88918045  -3.89434053  -0.62851778
## [177,] -503.2891433   -2.42545388   11.34529569  11.18346337  -6.03209679
## [178,]   79.7480875  -11.27943564   25.28504880   1.29095534  -1.83050131
## [179,]  179.5218818  -15.25604193   60.19068728   4.65639247  -1.47367841
## [180,]   71.7777018   -7.14565611  -25.54637473  21.30047412  -0.28872617
## [181,]  132.9435405   -9.93157332   10.67535486 -12.07901067  -0.96410867
## [182,]  100.1925185  -16.20465568   97.46606253  -5.90182621  -6.70149626
## [183,] -508.7552095    0.09190327    3.69102620   7.79417102  -0.69466589
## [184,]  134.4346172  -14.76658652   86.85365933   5.63389673   4.29768031
## [185,]   42.5882433   -4.86947542  -17.49944523 -11.76116428   3.80672248
## [186,]  145.5224954   -8.45861534    7.00432997   2.95585244  -2.20861580
## [187,] -449.2671761    2.33191669  -20.95155037  -7.00404448   0.75701529
## [188,]  139.0377596   -8.15933069    9.05015420  -1.54939120  -2.19663421
## [189,] -463.5134961    2.14844779  -14.20653516  -4.35333012   1.85542778
## [190,] -460.2523754    2.72302006  -16.63528217  13.59100805   2.93033538
## [191,] -454.0707555    3.45668279  -18.46023267 -13.18340473   3.04835230
## [192,]   34.1748780   -3.11620695  -14.49962889 -18.13513675   1.44918727
## [193,]   97.1947439   -6.61010438   20.77670130 -22.33370886   5.33394166
## [194,]  153.2680928   -5.56522487    5.72074052 -19.08084117  -1.68402035
## [195,]   97.2126876   -5.31447442   20.87709139 -22.30350727   5.33667570
## [196,]   42.6616290   -1.85130344  -17.42428994 -10.36452154   4.51890260
## [197,] -503.2019090    3.87330101   11.83334599  11.33028958  -6.01880518
## [198,]  160.6379238   -3.67630353    4.07647693 -28.26677301  -4.15033993
## [199,]  145.5031356   -4.53180666    6.63633261  16.42296546  -0.63610554
## [200,]  108.0410744   -7.71135156   61.07527191   0.26664360 -23.98206816
## [201,]  145.6624518   -3.72178924    8.03602947 -10.35793618  -3.62233223
## [202,] -469.8769078    6.44738528  -11.30877315   7.82669074   3.00483820
## [203,] -525.9416846    6.37193159    7.37416084  23.77171341  -1.77630567
## [204,]  110.7246991   -7.92113861   94.31399156  -2.10145788   0.21461754
## [205,] -451.1674935    8.63884322  -21.08436217  16.58155048   5.31673302
## [206,]  160.6487551   -0.51646506    3.22885060  -9.88724582  -0.87256079
## [207,]   50.7998436    3.71348592  -19.07693012 -15.26133847   6.44297161
## [208,]  145.7164949    1.86500519    8.25431679  -6.09857007  -2.96270564
## [209,]  119.4909376    3.77812054   15.49954048  -9.95471953   1.13158023
## [210,]  129.9180882    4.87492687   55.29683451 -15.90278116   6.80984298
## [211,]  124.8060793    2.83209151   92.50930941 -13.24448066  -2.10630712
## [212,]   50.5885339   12.93279844  -21.72152689  51.60117460  13.79517594
## [213,]  137.6051814    7.29803340   51.51684194   5.06698721   8.62941121
## [214,] -447.3054298   22.30317132  -20.25032674   0.76315682  -2.33805682
## [215,] -472.6943907   23.42084383   -7.34625996 -19.07950832   1.11961647
## [216,] -472.6943907   23.42084383   -7.34625996 -19.07950832   1.11961647
## [217,]  133.1370069   13.58307330   11.04649083  17.02385791   2.22818762
## [218,]  155.9511683   10.92005500   47.35285659  32.94636394   1.28513844
## [219,]  153.5368522   16.73951366    7.88880846 -23.41173079  -3.66407357
## [220,] -466.2845978   26.72519054   -9.78221449 -18.44560699  -1.59243636
## [221,]   80.0513817   15.73110892   26.57493236  17.14186815   0.28918515
## [222,]  169.0203959   20.53062878    1.18857455   5.45067080   4.03389706
## [223,] -447.1719567   31.76377144  -19.51499763   0.94846420  -2.40009165
## [224,] -226.8813014   32.93962832  -80.86192949  30.59599052   0.25584728
## [225,]  179.9073996   17.23790706   62.07650751  17.70037582   0.22703481
## [226,]  185.1539383   33.56758734   -2.53840552  -4.66350781  -0.54858645
## [227,]  135.0162082   27.64395525   90.20810470   5.79370929   4.06798413
## [228,]  -70.5692989   45.20866842   20.49701495  -9.05390556   3.10485952
## [229,]  185.4623182   49.34173708   -0.68283223 -17.98838645  -1.67705251
## [230,]  -70.4524706   57.97411191   21.04655992   0.70875109   3.87949558
## [231,]  154.3928017   73.33630786   12.02327467 -21.54140382  -1.75002845
## [232,]  185.8860679   80.28688052    1.67279415 -16.23580894  -1.62377744
## [233,]  146.8698904   87.63857475   14.60032301   2.10748293  -2.18918793
## [234,]  116.4857113   86.45258819   66.52795625  -2.43345609  -6.87427907
## [235,]  128.2201344  139.15439945   24.55728782 -14.09341117  -2.76457232
## [236,]   60.7961046  183.95985745   -7.04677015   0.11683614   0.17733057
## [237,]  128.8187116  184.67446906   26.89480519   7.18447180   0.78682199
## [238,]  148.3947360  196.80053924   23.23762487   1.65468596  -2.58267242
## [239,]  141.2173330 1071.99312067   96.57885350   8.13399066   1.04784221
## [240,] -550.9183048   -6.48420616    7.16683844  29.42312757  -0.07425214
## [241,] -513.2327816   -5.95193281    0.81812220   4.87884971   0.30982527
## [242,] -470.9802518   -6.10442066    4.20415240 -24.49598575  -9.50723973
## [243,]   43.2387521   -3.43356489   -5.28795108  21.05962935   7.26639211
## [244,]  161.5896959  -12.73988224  -38.53626178  25.75075599   6.16526397
## [245,]  161.6822342   -9.54466912  -37.21479162   7.24423776   3.00274172
## [246,]  161.7415639  -11.32372900  -36.52590722  -9.18937553   1.19996362
## [247,]  161.7170324  -12.01349233  -36.61484245  -7.99750176   1.17368169
## [248,]  -47.2556211  -12.71673303    8.46891246  24.27524654   6.85934791
## [249,]  125.1488799  -12.25295397  -24.69082495 -19.03541464   1.54961718
## [250,]  125.0827745  -10.07703783  -25.05601118  -6.02587067   1.96248638
## [251,]  125.1430065  -11.53604991  -24.42659705 -21.54653160   0.70711638
## [252,]  125.0794700  -12.19446765  -25.04897488 -10.33522685   1.97352871
## [253,]  125.0556318  -12.26131988  -25.07420482  -9.00602221   1.73372406
## [254,]   16.8632268  -11.76023349    4.19637684  -6.62185600  -0.23350660
## [255,]   77.4031476   -2.45445211  -13.49619936  -3.43447250  -2.88805135
## [256,]  138.1852516  -19.42024218   58.26363158   4.80798298  -2.80192035
## [257,]   33.7831551   -5.14162070   -0.69549051  -4.64116163   3.94493879
## [258,]   33.6499079  -12.54278348   -1.38106515  -1.45722869   3.85429696
## [259,]  152.6031216  -12.59118867  -35.06294659  12.43298122   3.40351269
## [260,]  152.6969065  -10.83842914  -33.91200953  -6.51618177   1.02288955
## [261,]   -8.0417751   -4.48734146   11.69873023 -14.06352093   5.83666069
## [262,]   24.6136842  -10.87096150    0.02962273  39.97303226   5.60977384
## [263,]   24.8477553   -9.09400145    2.36823271  -2.79353951   0.49326783
## [264,]   85.1068888  -11.14830661  -15.68978873  -5.67119444  -3.15483383
## [265,]  144.3701516   -5.97106740  -32.45714084   6.33244318   4.32830442
## [266,]    0.6552364  -12.86650920    7.16394101   8.25528681   8.41137498
## [267,]   61.8158577  -12.89167916  -11.82926825   8.68059991  12.07277398
## [268,]  115.8983787  -12.35398834  -21.25564258 -21.81592261  -0.22514418
## [269,]  115.8471724  -12.51424374  -21.67740884 -13.50297742   0.59150303
## [270,]  115.8378772   -8.52078049  -22.52443757   7.34016591   3.69895067
## [271,]  115.8106847  -12.42856001  -23.04271710   9.58774068   4.66887420
## [272,]  115.8986253   -3.73661872  -22.46927017  12.16398340   4.89226247
## [273,]  115.8454170   -9.71258816  -22.30097883   1.26298773   2.91109595
## [274,] -206.5677824   -5.04527539   46.70653118  17.09442236  -2.40069980
## [275,] -205.3650915   -2.89101455   46.28469372  21.12365186  -2.84995605
## [276,] -208.2558764   -8.72577514   46.80211052  21.05573804  -4.63663245
## [277,] -210.4358320    4.41427121   50.63957174 -17.41634028 -10.13941391
## [278,] -210.5333266   -2.68428275   50.09031266 -17.59355094 -10.18172611
## [279,] -210.3781359    8.58021986   50.96236450 -17.31923054 -10.13062294
## [280,] -210.5473593   -3.63856732   50.01560870 -17.60405480 -10.15640698
## [281,] -207.5775146   -4.82734336   47.04244165  19.65804321  -4.14430243
## [282,] -210.3433999   11.26657950   50.98619786 -14.42159629  -9.48262751
## [283,] -206.6356699  -13.87060936   46.15015931  11.28597007  -5.39100823
## [284,] -539.5592955   -4.72574128    7.95176377  -9.03893283  -4.29008466
## [285,] -542.4453551   18.08671308   10.23974007   2.55009487  -1.68752506
## [286,] -123.4218792   -4.53139541  -82.75367527 -10.49546246   2.28002240
## [287,]  -95.8070328   -5.23047939  -93.91955491  40.25893172   6.09122322
## [288,]  -73.1802061  -11.32962269   -7.80534790   2.82588483   2.51874364
## [289,]  -73.1158903  -11.00715519   -6.85300880 -14.07557479   0.09851210
## [290,]  -73.1101779  -10.97024445   -6.73846007 -16.03378740  -0.21091671
## [291,]  -73.2239477  -11.43947870   -7.97338232   7.32280222   2.34932390
## [292,]  -73.0089493   -3.14803142   -6.66230815  -7.30915016   1.50155129
## [293,]  -82.2981497   -8.59797936   -4.65310779  -5.82554287  -0.42910907
## [294,] -101.5673675   82.15084599  -82.49607421 -20.81955881  -0.64317129
## [295,] -109.3932275   -5.34143619    0.75656805  21.62511603   5.52994049
## [296,] -102.8542249   -4.40949407  -90.23810843  -2.53393067   1.41343170
## [297,] -256.9801103   -6.43560234  -25.68943512  -0.08936686  -1.01944489
## [298,] -256.9806109   -7.29881019  -25.72856611  -1.26688801  -0.90883464
## [299,] -161.4557206   -5.27832749  -67.52602220  -5.93439298   1.45321083
## [300,] -316.8197365   -8.06632377  -19.29108291  48.15076577 -24.49287080
## [301,] -249.0088756   -6.82041108  -27.10608290 -21.85330338  -2.62491043
## [302,] -249.0114115   -3.57700972  -27.62044907  -7.88021869  -0.60782133
## [303,] -313.8210382   -5.18216671  -40.36423616  -9.99614506  -0.51064391
## [304,] -313.8210382   -5.18216671  -40.36423616  -9.99614506  -0.51064391
## [305,] -442.3203616   -7.90872919    0.38528741  48.19595945   3.75754812
## [306,]  158.6093843  -19.56366808   54.43837386  10.90976716  -0.91239616
## [307,]  158.5814917  -19.17012502   54.43717559  12.36127972  -0.83810927
## [308,]  158.7715904  -14.05169535   55.73505703  -6.37430852  -2.66516548
## [309,]  205.6034530  -19.04547613   41.30612161   3.78422449   1.01133276
## [310,]  205.7468952  -18.65294268   42.18828544 -15.44189415  -0.21456961
## [311,]  205.7468987  -18.63713438   42.17704005 -15.45986435   0.01686187
## [312,]  205.9386249   -4.42122947   43.23674651 -14.07965264   0.05801493
## [313,]  143.7765469  -22.80887313   89.79857076  44.16819597 -28.22682190
## [314,]  226.1398049  -18.45645544   36.18960029 -15.39326405  -1.13172070
## [315,]  226.0829673  -17.17773105   35.59200910  -0.91408455   0.12341742
## [316,]  269.2541976  -18.25262114   24.49256230 -11.44188153  -4.87857254
## [317,]  185.5525688  -18.83427695   48.56293007 -16.78427845  -2.09803519
## [318,]  185.6134552  -15.06421733   48.84830397 -16.82617596  -2.00358570
## [319,]  233.0492300  -18.38818469   33.88053188 -14.89874688  -2.58561654
## [320,]  233.1032004  -14.01167066   34.15804615 -13.81560050  -2.29375354
## [321,]  233.4700812   15.71096770   36.17203265  -6.74947337  -1.70502807
## [322,]  233.0927125  -11.26873973   34.46992608 -12.84992382  -3.40466189
## [323,]  233.0027495  -17.43437524   33.98552147 -12.93151377  -3.28312531
## [324,]  274.8007824  -16.26849158   23.04714135  -1.48759461  -5.20380027
## [325,]  165.4486373  -17.90444563   87.06431314  17.78495898  -1.10913774
## [326,]  198.6107589  -18.73902488   44.48542897 -15.13307220  -1.26342055
## [327,]  198.6064737  -18.72982214   44.48499974 -15.06581643  -1.17338018
## [328,]  198.5615509  -18.83907545   44.24609917  -9.62933142  -0.91784073
## [329,]  198.5379290  -18.90486572   44.10004541  -6.42381949  -0.72840423
## [330,]  198.6454586  -15.41843308   44.75479699 -14.87744655  -1.27598534
## [331,]  198.7004936  -12.17724847   44.99519023 -14.96006208  -1.19279125
## [332,]  245.8256369   -2.74593039   31.86202942 -13.46669441  -3.11020016
## [333,]  245.6897336   -7.42827954   30.85179983  -0.13920546  -1.99489124
## [334,]  165.9915418  -17.39401566   52.05415760  12.50388110   3.32111567
## [335,]  211.8561571  -19.11178209   39.51129634   9.47851674  -0.51772115
## [336,]  211.6851269  -19.80377865   37.63204494  45.04113324   3.58038456
## [337,]  211.8873517  -18.96427350   39.89541014   2.47567606  -1.39463603
## [338,]  212.7277266   37.09234660   44.73989060  -6.67064961  -2.23116056
## [339,]  212.0487180  -11.31652741   40.92782770  -6.73557806  -2.17852076
## [340,]  211.9316906  -17.44945168   40.16682605  -0.67968075  -1.82290816
## [341,]  211.9450312  -15.05884497   40.19897337   2.51143763  -1.52517604
## [342,]  218.6201837  -19.04111330   37.42640285   9.88386248  -0.66621204
## [343,]  258.2109068  -18.41076724   26.68842242  -5.03992071  -2.63763819
## [344,]  258.1478454  -16.51630549   26.11407064   9.57228167  -1.09673960
## [345,]  258.1273784  -12.91638363   25.62089461  24.91038684   0.62817777
## [346,]  258.2354648  -12.74745420   26.86218370   1.63014155  -2.43476815
## [347,]  258.6155283    9.71481531   28.96807141  -6.51650406  -2.89671926
## [348,]  191.6484433  -19.77584530   44.05534068  34.27338670   4.86553909
## [349,]  191.7742114  -19.39993314   44.96724136  15.34791252   3.29346084
## [350,]  191.7273857  -17.92221201   44.77223599  23.11002068   3.58233845
## [351,]  191.6996520  -16.07831672   44.34183856  34.35957740   4.87334160
## [352,]  191.8577058  -12.05339697   45.79737140  12.06623604   2.35542454
## [353,]  191.8693201  -17.09032038   45.87912010   1.22737402   1.69239461
## [354,]  191.8479619  -17.47825910   45.63897791   5.25106099   2.16324094
## [355,]  191.8877759  -13.30540665   45.81392330   8.47441220   2.43536518
## [356,]  192.0425819   -5.95777415   47.19190044  -6.33598359   0.40271963
## [357,]  191.8797078  -17.71810765   46.28066728  -6.61012114   0.37790302
## [358,]  239.5642117  -18.88636850   30.48045311  13.21944367   2.29309272
## [359,]  239.6459284  -18.56922148   31.34314800  -3.05396549   0.36553614
## [360,]  239.7783648  -10.47773441   31.94537825  -3.20498337   0.49668374
## [361,]  239.6388592  -17.54508536   31.27222282   0.14300153   0.58816114
## [362,]  239.6585653  -14.77298938   31.34114977   3.31839547   0.88736128
## [363,]  171.0711988  -21.92703323   85.24737340  24.80160861   4.42003448
## [364,]  218.6629406  -16.16881844   37.54316502  11.79240602  -0.39569340
## [365,]  218.7984390  -13.08598757   38.69693102  -6.59712792  -2.27647513
## [366,]  218.9562132    1.05390522   39.25235499   3.73123600  -0.87821454
## [367,]  263.5048473  -16.69359104   25.48917617  -3.33507486  -0.58310247
## [368,]  263.5141134  -18.23638630   25.98857095 -14.14766665  -2.36127157
## [369,]  190.2205867   -6.94560646   51.01542398   6.48850081   0.45076830
## [370,]  301.9716124   -8.79986565 -115.38533111  28.78475995  -4.32214357
## [371,]  302.1224021    2.22933927 -114.53017988  29.07364827  -4.21475426
## [372,]  -23.1661456  -10.63565136  -28.83348078  12.40071484   0.61523254
## [373,]  130.8791976   -9.78039160  -72.25842080  28.42741981  -0.63218681
## [374,]  168.0967687   -8.61113021  -83.42727701  -6.57750197   0.71935392
## [375,]  334.3433459    9.57736528 -121.98534714  30.74147423  -5.85865915
## [376,]  190.5502817   19.48329724   52.52195798  17.08063342   1.88027790
## [377,]  139.6953985   -9.24971545  -73.52445241   5.91042579  -1.91276630
## [378,]  188.2882080  165.61788798  -75.40981661  -2.62378179  -3.36631463
## [379,] -525.6567899   -5.50110397   -3.18181727   5.37535031   3.86994653
## [380,] -391.0786970  -11.87319443   38.37415398  65.44127088 -46.56046777
## [381,]  -89.4158528   -3.22918509   -6.71396074  -6.61936245   3.97218633
## [382,]  108.3980141    6.68150107  -65.27663139  16.42358145  -2.60397266
## [383,]  159.0150397   -2.57563096  -79.38881459 -20.76341712   3.25064179
## [384,]  227.5528747   34.23073188  -96.46338293  10.31452999  -4.78227587
## [385,]  295.9604688    3.98108973 -111.30260490  -4.46697772  -7.33049486
## [386,]   76.6899145    6.48737382  -57.46806776   2.81149027  -2.22372633
## [387,]  196.8514691    4.84895608   50.10023379  13.61734069   3.70652328
## [388,] -525.6150331   -5.42787716   -3.05949302   1.87195190   3.89555183
## [389,]  177.3293418   20.31909624  -83.82343327 -14.24450321  -1.32240945
## [390,]  176.9318650   -8.32180397  -86.04339629 -14.90039189  -1.35551452
## [391,] -500.0848912    2.56799067   10.79531475  27.01300855   0.35275942
## [392,]  183.7705288   10.53761122   54.19770085   5.28443532   0.37280682
## [393,]  303.1279591   62.38553777 -108.07763499  -4.21071779  -8.40138103
## [394,] -531.0923781   -5.02584820    1.36368664 -27.35702658   3.96793508
## [395,] -512.5354815   -7.37151603   13.03185821  24.51737257  -2.16320681
## [396,] -500.9157961   44.42216045   14.75328320  18.67962394  -0.90805724
## [397,]  196.5603942  -16.03107741   48.48930882  13.17581895   3.63579916
## [398,]   76.5919413   -5.49751527  -57.50686953 -14.58075515  -4.26066482
## [399,]  185.9463774   -8.21609032  -88.38851753 -17.17986034  -4.60065332
## [400,] -257.1519756  -10.15874086   14.83184197 -13.28025732   8.45935445
## [401,] -257.0393441   -2.02617125   15.46198286 -13.09068423   8.47651577
## [402,]  176.6031447  -14.65825090   54.09053044   4.21292594   1.47619768
## [403,]  176.9417563   -8.33416633  -86.20803747 -13.25649863  -0.62287925
## [404,]  108.2804608   -9.15690778  -65.35343381  -6.29265069  -5.23806476
## [405,]  169.4922981  -13.44852772   57.21495637  -6.51169493  -5.84427210
## [406,]  148.9450937   -8.57193153  -75.66407550 -22.19506492  -2.78376629
## [407,]  339.6545656   -4.53620313 -122.76648525  18.99660203 -10.91905121
## [408,] -503.5668859   -6.87022941   12.06944809   1.24266058  -3.33489373
## [409,]  334.3907789   -0.20835574 -120.98650800  -4.41324662  -9.69731479
## [410,]  -98.8345819  -10.91445001   -3.42422522 -15.16031603   2.59873171
## [411,] -505.8813829   -6.80022294   12.80768571  -2.63145584  -4.40439436
## [412,] -515.7070840   -2.48332373   14.98051749   9.46564197  -2.63988995
## [413,] -107.5273641   -9.28476000   -0.44057029 -18.58968609   0.77419732
## [414,]  185.9430526   -8.21187984  -88.46869882 -16.22665350  -4.16454534
## [415,]  194.4720540   -8.46566497  -91.93494958   0.53229732  -1.05545594
## [416,]  178.5086399  735.49667164  -25.06902111  -5.16369171   1.36852088
## [417,]   36.9879760   -2.45869485  -47.45701387  -9.02340094  -0.40913374
## [418,] -528.0589974   -5.02144805   -0.64439868 -22.17796518   3.51838909
## [419,]  131.1514622   -6.64589706  -70.42269859  -6.40171518  -3.14616028
## [420,]   76.5851387   -6.13430760  -57.73182183 -11.82353220  -3.73811855
## [421,]  103.4541824  176.10802263  -49.47900822  -7.94295861  -3.20150089
## [422,]  158.9887957   -8.23074103  -79.30386780 -31.17189307   2.03138838
## [423,]  271.2414100   -1.67314376 -104.46061575 -22.05054481 -11.65782174
## [424,]  190.1235954  -18.81759540   49.94518076   6.00553235   1.48828325
## [425,]  186.0206002   -3.22507075  -87.98186425 -18.13462376  -4.36107121
## [426,]  226.9726348   -8.48185530  -99.63961546   7.30079707  -5.42088957
## [427,]  226.9660413   -8.46260082  -99.65412353   7.38540672  -5.26531970
## [428,]  139.8600174   -6.49398701  -72.23761117 -15.82738194  -4.20618383
## [429,]  168.1824408   -8.43098129  -83.07195149 -15.54400385   0.54501839
## [430,]   76.5663680   -6.12954649  -58.17993001  -4.01897292  -2.43201102
## [431,]  327.8606391   -8.03930737 -119.94418715  -3.33267723 -10.22930917
## [432,]   68.4526680   -2.95330390  -55.86579290  -7.71316074  -1.60648703
## [433,]  168.1385167   -8.49924706  -83.27630673 -11.10745893   0.97483309
## [434,]  194.6113646    6.50265997  -91.62243041  17.00632671   0.93822012
## [435,]  287.3024606   -8.27033631 -109.73605269  -3.73568380  -9.15990546
## [436,] -173.3641520  -10.09579534   -6.26421303   4.17899581   1.35140316
## [437,]  139.8133946   -8.32588267  -72.48060377 -13.63881283  -3.96536985
## [438,]  242.1462778   -8.83861763 -103.03609383  25.15277628  -3.39975771
## [439,]  185.9571809   -2.19826249  -89.08229622   3.80956746  -1.52704717
## [440,]  183.3476089  -19.24508111   51.93548844   4.81569438  -0.20147882
## [441,]  334.2064284   -8.25909384 -122.33953855   9.73337187  -8.08436207
## [442,]  139.8208179   -7.53911455  -72.05507622 -19.17317838  -5.18370479
## [443,] -513.7553936   -2.25247734   -7.47562734  18.06778745   1.16195880
## [444,] -182.3349568  -10.69989925   -5.64528231  31.63013726  11.36547012
## [445,]  334.3457754    1.66104109 -121.57145920   9.93282010  -8.14754416
## [446,] -451.4340564   -5.73789816  -21.06574272  30.85465893  12.77148016
## [447,]  130.9878633   -9.61876789  -72.13208307  21.86890762   0.32626551
## [448,] -528.1411031   -5.26404949   -1.19386364 -10.55960392   4.37724300
## [449,]  322.0726099   -8.70693125 -120.39859369  29.31817868  -4.49739329
## [450,]   76.4177137   -9.65532175  -59.32247155  13.49727042  -0.52714202
## [451,]  158.9202362   -2.41358676  -80.42212938  -0.43281244   5.63098212
## [452,]  115.5122454   -0.40510706  -68.75153166  40.78417839   6.19510581
## [453,]  202.2686568   -8.76478926  -94.29016861  16.73387550  -3.09342028
## [454,]  278.7996343   -8.51348155 -108.02977776   6.17972300  -9.18986911
## [455,]  226.9279393   -8.50356914  -99.58093685   8.04757451  -6.06152688
## [456,]   27.6287135   -9.74448360  -46.08168896   0.59972556   5.81001692
## [457,]  226.9201475   -8.56209039  -99.75046704  10.98050324  -5.64837207
## [458,]  101.9356298   73.12178364  -58.11594665   4.39509511  -2.53401449
## [459,]  185.8283395   -5.51529856  -89.88370249  15.42013471  -0.43977769
## [460,]  295.6839833   -6.77420067 -113.62208066  23.60389684  -3.77464499
## [461,]  185.7876809   -8.84014925  -90.13389252  15.26875721  -0.60867392
## [462,]  185.7825139   -8.82413816  -90.14008335  15.34300449  -0.44675999
## [463,]  302.0360227   -5.08754913 -115.04910034  27.72260148  -4.42342687
## [464,] -542.6097471   -1.45144089    7.62885837  39.07671075  -6.55978871
## [465,] -542.6356653   -4.59809956    7.66419932  34.04617198  -7.32128815
## [466,] -543.5217069    0.37104595    9.62093048  16.22470539  -7.42048873
## [467,] -520.0987001   -2.68129092    2.32989641   0.09095331   0.05159810
## [468,] -515.2776977   -0.10239846    0.07680992  -4.44393820   1.67026963
## [469,] -512.4564143    1.32392571   -0.74410101 -18.64174601   1.25574032
## [470,] -530.3887948   55.60789871    5.72523075 -11.75307993   5.09903411
## [471,] -531.1682866   -5.18288694    1.28661866 -19.80199964   4.58201693
## [472,] -481.4494289   32.39366078    1.64749369  -5.71891839   1.05578259
## [473,] -316.6499457   -3.78567343  -44.99426469  31.15319645   1.69263480
## [474,] -298.5726148   61.71025826    0.18472884   3.98946566   5.16072295
## [475,] -228.6088854    3.35461518  -34.09792825 -13.83338930   3.48858929
## [476,] -192.5695089   -3.21849567  -46.58700534  -9.20877578   7.91913449
## [477,] -155.0045657   -8.35289960   -2.31002405 -19.07283708   2.88316720
## [478,] -124.1559889   -2.67838994  -13.55767650  -2.85283663   7.95855990
## [479,] -124.4063238   -8.53042537  -15.96809955  34.51022949  12.60117630
## [480,] -112.0219475  267.29425275    5.92526410  16.81389966   1.30476013
## [481,]   12.5449014   -9.67724066   -1.26051319 -21.45534828   1.11530754
## [482,]   12.5199647  -12.38239296   -1.27959435 -24.50356224   0.50640464
## [483,]   41.9573553  -11.03394814  -12.97656842  -6.47563549   5.52841064
## [484,]   42.0528432  -12.01321521  -12.46776924 -20.56489881   4.97506352
## [485,]   42.4536918   14.36282919  -10.34022188 -22.39371889   4.89656648
## [486,]   52.0962095   -9.85346794  -15.94135923 -20.07058307   9.17412234
## [487,]   62.3497438  -10.06695853  -20.62561022  -4.12883042   8.10696925
## [488,]   62.5994983    4.46265095  -19.02695851 -12.99505754   7.00763555
## [489,]   62.8474771   33.93971938  -18.71840222  24.98332816  11.91382741
## [490,]   62.2554151  -12.36383888  -21.57775640  11.01839198   9.69013164
## [491,]   62.4022403  -11.84907306  -20.27799073 -14.81570345   7.23960716
## [492,]   82.3796935  -11.31465652  -26.80680313 -27.29177304   3.56493468
## [493,]   92.7828616  -11.25105802  -31.28303605 -21.54990583   2.61645297
## [494,]   93.3162292   31.85205723  -27.96808246 -17.60731369   2.17047772
## [495,]  103.2014254   -2.55070493  -35.03626807 -18.33776711   4.52272455
## [496,]  123.5478084  -11.04549640  -44.23514964  -5.98321741   6.40397399
## [497,]  123.7239368   -7.93562919  -43.24886273 -23.19048549   5.43894530
## [498,]  134.1242138    4.06446633  -46.13432930 -21.88327469   3.61018349
## [499,]  134.4914710   29.87203244  -44.10311603 -22.41004722   3.79071209
## [500,]  133.9238802   -0.45814588  -48.44844568  13.99444168   8.78999313
## [501,]  133.7024897  -11.31699045  -49.29576261  16.83178718   7.99023276
## [502,]  133.7037472  -11.32055990  -49.29242047  16.81653419   7.96500934
## [503,]  133.6870228  -11.40817031  -49.50390659  20.83395042   8.36662716
## [504,]  144.0366293  -12.30337861   -3.31991437 -16.61587778   7.73368112
## [505,]  144.6919153   35.19620022    0.42437770 -16.39785708   7.66835730
## [506,]  202.6496677   -8.35944330  -16.43636414 -10.57881369  -1.97909097
## [507,]  211.0949571  -14.83711145  -21.06186155  27.90762278   0.84885469
## [508,]  211.2587886  -14.20192725  -19.33269996  -4.60068420  -3.13022943
## [509,]  211.2605215  -14.20657783  -19.32658540  -4.61939131  -3.15333816
## [510,]  211.1568353  -12.60731058  -20.83264500  25.54855277   1.10797215
## [511,]  211.1215815  -14.19850187  -20.38789405  17.36699628  -0.99436085
## [512,]  105.8505493  -19.88629974   73.67253891  -5.48332351  -8.75390828
## [513,]  105.9508264  -13.42690466   74.35504982  -8.29849568  -9.33648390
## [514,]  106.4508212   33.51120117   75.88172070  31.79085708  -3.91314930
## [515,]  105.8444769   -9.44789071   72.61758858  30.02509995  -4.13523313
## [516,]   71.9128934  -11.94485911  -23.61844633  -5.16633262   3.29428187
## [517,] -453.6914380   -8.45099132   27.43201646 -11.11614351 -11.01375743
##                 PC6          PC7           PC8          PC9        PC10
##   [1,]   3.73577367  1.244743653  2.1815086368 -1.626074463  0.10026465
##   [2,]   1.60482273 -1.119421644  2.5302976680  2.624464219  0.88752844
##   [3,]   4.62084196  0.767944340  2.7478785485  2.703352523  0.86582923
##   [4,]  -0.66914405 -4.457168008  2.1864877958  0.661649272 -0.48943284
##   [5,]  -4.50790927 -4.710909530  2.0712897545  2.547168478 -0.34343957
##   [6,]  -2.36271648  3.010613097  3.8092565141 -0.910039869 -0.61334443
##   [7,]  -1.97889230 -2.421471324  3.7654266331  0.315429464 -0.47864771
##   [8,]   4.21245898  1.351194300  3.3768668742  2.784515361 -0.49676482
##   [9,]   3.94750190 -0.173669663  3.7772788671 -1.261483109 -0.65318551
##  [10,]  -1.17164752 -3.507215672  2.5019127649 -0.992947797 -0.05193138
##  [11,]   1.75862924 -1.825562081  2.4834740288 -3.640353528 -0.20363287
##  [12,]  -2.49021736  9.183521450  2.7659267501  1.474214745 -0.20539092
##  [13,] -12.79875428  4.535628246  1.4286594550 -3.515824561 -0.24518495
##  [14,]  -0.39322873 -2.154459439  1.6553364721  1.130637682 -0.19185043
##  [15,]  -1.29655486 -0.955059411  1.9136863712 -1.212299000 -0.25954393
##  [16,]  -2.16794030  1.511494425  1.5471506014 -1.386579478 -0.34466956
##  [17,]   3.05796957  0.052578258  0.4531430371 -0.575377275 -0.48589727
##  [18,]  -0.62735257 -1.558372363  3.5785925434 -1.698034072  0.17559515
##  [19,]   0.35342889 -1.595402455  0.8369472846  0.351585200  0.85341044
##  [20,]   3.69574393  1.184138149  1.0391191000  0.490193058  0.80995406
##  [21,]   2.48315969 -0.346204824  1.5503402983  1.050737779  0.72320163
##  [22,]   1.10540519  0.152421242  0.5775065683  1.064006335  0.22068414
##  [23,] -14.81964802 29.489735104  1.5715327687  5.520092373  0.95500379
##  [24,]   0.22820963 -1.764774135  2.1196262443 -2.231494115  1.01024399
##  [25,]  -3.51104067  6.625323854  2.2697386195 -0.801684832  0.96762657
##  [26,]   0.84014776  0.947702797  1.9805981409 -1.094477599  1.00218489
##  [27,]   1.73676635  3.353906542  2.5414496036 -1.375067904  0.88681792
##  [28,]   0.34496903 -2.113522272  2.2219878115  2.118395957  1.09949780
##  [29,]  -4.00284822 -4.192686532  1.0200912539 -0.205414360  1.73101521
##  [30,]   0.38612585 -2.194251009  1.0461790592 -0.335354573  1.65506021
##  [31,]  -2.94981392  2.509297578  1.1512440410  0.381643271  1.47976204
##  [32,]   2.13936918  0.212946834  0.6342440251 -3.533864424  1.33022880
##  [33,]  -0.86899313 -1.757917265  1.1481513169  1.328221464  1.57100741
##  [34,]   2.44486057 -0.156554086  1.2280027995  0.116774974  1.45582510
##  [35,]   0.12132204 -0.168023848  1.2342612025  0.829440564  1.50656292
##  [36,]  -0.87226433 -3.261700616  0.6559257505 -1.373599385  1.43522017
##  [37,]  -0.01331973 -1.162348813  1.2852221871 -1.264912025  1.39465177
##  [38,]   3.33142102  1.560875838  2.2334310906 -1.050463185  0.66941240
##  [39,]   2.94739910  0.422793973  2.3977747151 -0.306952677  1.72915801
##  [40,]   0.93905390 -3.148545312 -1.1494947617  1.472811426  0.25334938
##  [41,]  -7.55841748 -2.978663808 -0.8991066947 -0.303772266  0.26386791
##  [42,]   0.73283994  1.177907858 -0.5227171394 -2.657845644 -0.12408516
##  [43,]   0.84972677  4.301787472 -0.7391731348 -0.373019138 -0.16588404
##  [44,]   0.48836251 -3.013573532 -0.6843249484  0.613531253 -0.06225520
##  [45,]   2.03323567 -1.929346239 -0.9125528107 -1.184190207 -0.20821873
##  [46,]  -3.36327321  2.310217711  1.1611212016  0.033501341 -1.69230735
##  [47,]   1.63231688 -2.004470756  0.6761164453  0.231985867 -1.56761176
##  [48,]  -2.58217480 -2.521877768  1.5735204209  0.594029728 -1.21122055
##  [49,]   3.19068947 -0.660668177 -0.8122234568  2.857679970  0.28537917
##  [50,]   3.32286263  0.112743626 -0.9677501556 -0.972416225  0.16481477
##  [51,]   3.74430056  1.818054068  0.1230689654  2.767745277  0.13017862
##  [52,]  -0.27413092 -1.940374800 -0.7953876850  1.102895297  1.02533360
##  [53,]   0.08319896 -0.159757510 -0.9210279058 -1.125738123  0.89280340
##  [54,]   0.08319896 -0.159757510 -0.9210279058 -1.125738123  0.89280340
##  [55,]   2.73270065 -1.490902060 -0.8313191274  0.058547225  0.95052119
##  [56,]  -2.68009781 -2.160011313 -0.7534716113  0.806129829  1.06959707
##  [57,]  -0.57651224 -3.050770816 -1.2349933423 -1.686501988  0.76322287
##  [58,]   3.81928120  0.149701309 -0.8182073244  1.418488220  0.73390532
##  [59,]  -0.14807094 -1.785715923 -3.6142842762 -1.264476167  1.41502001
##  [60,]  -0.04501049 -1.927301890 -3.8180184390  3.542475909  1.52943762
##  [61,]   3.39224158  3.281230605 -3.3769580682 -0.381496351  1.36362733
##  [62,]   5.84835839  3.912615214 -3.5664511040 -0.395995597  1.30138841
##  [63,]   1.97849737 -1.390348665 -3.1954201490 -1.004656498  1.21725922
##  [64,]   0.54253753 -1.311463257 -2.9462335460  0.735624153  1.29368276
##  [65,]  -0.39698173 -2.811814780 -3.0190269887 -0.016053211  1.29003106
##  [66,]   2.18657525 -1.612778482 -3.0739493285 -0.930602519  1.21227983
##  [67,]  -1.77755361  1.044285268 -3.1159059484 -0.645282089  1.20506160
##  [68,]   1.55444496  3.315046898 -2.8334085385 -1.002117457  1.15764697
##  [69,]   1.61307858  3.473014922 -2.8350331147 -1.884877990  1.12406665
##  [70,]   1.04685302 -0.158978414 -0.5809017377  0.213395234 -0.77949741
##  [71,]   1.38080034  3.944931397 -0.4726586608 -2.151194526 -0.89074772
##  [72,]   1.75384148  4.722773178 -0.0002833521  1.306647373 -1.10986229
##  [73,]   2.58326224  1.034884075  0.1433014582 -1.370658262  0.41753970
##  [74,]   1.47231627  2.540776840  0.5391421890 -0.161750621  0.43563420
##  [75,]  -4.48512539  0.222626302  0.3899049272  2.225082177  0.45819665
##  [76,]  -1.18545123  0.169972874  4.6648326335  2.103284633 -2.91452628
##  [77,]  -2.07230121 -2.610940752  5.0890183586  1.123237012 -2.84882043
##  [78,]   2.25271541 -1.999419113 -4.6372319632  1.638935966  0.19642618
##  [79,]  -0.56106275  2.011220564 -4.5161398561  1.964159338  0.97529156
##  [80,]   2.21964361  0.867014548 -3.6578557239 -2.832314226  0.92785996
##  [81,]   1.13009244  2.268009885 -3.9689535756 -1.992399370  0.92422247
##  [82,]   1.54953187 -1.260781927 -4.0135442703  1.454863352  0.96312703
##  [83,]  -0.32791944  3.669207629 -4.2509983947  0.292605540  0.78628428
##  [84,]   2.42923546  0.502845081 -3.9937542228  3.260169844  0.98240444
##  [85,]   0.73028019 -2.628525676 -4.1265918659 -0.259522752  0.92579385
##  [86,]   3.53737821  1.783354278 -3.3455222991  3.101767474  1.05660967
##  [87,]  -1.05109692 -1.284336001 -3.8627686739  1.099543837  1.01872272
##  [88,]   0.53241822 -0.659422464 -3.8805658904  1.387638469  0.99905646
##  [89,]  -1.09603518 -2.865232825 -4.0533631833 -0.547652307  0.97756464
##  [90,]   1.36077868 -0.943163531  1.3249043928 -0.383156100 -0.12734751
##  [91,]   1.50215716  0.720512456  1.4565519357 -1.571507417 -0.41041534
##  [92,]   1.42896868 -0.823097054  3.5624400997 -0.868791284 -0.43502292
##  [93,]  -1.53206522  3.491594216  3.8061263951 -1.653899974 -0.65591342
##  [94,]   1.28550409  1.870348186  3.9099056036 -0.537155503 -0.51886251
##  [95,]   0.16072162 -2.243929837  4.1607508000  0.480618833 -0.50051345
##  [96,]  -0.75784724 -4.577560815 -0.9426083770  1.731018385  0.01016575
##  [97,]  -0.69597301 -2.480939102 -2.1552349931  2.401267564 -0.02587727
##  [98,]  -8.11692601  4.079991926 -1.5956134747 -1.253257709  0.02648359
##  [99,]   1.40922679  0.012129381 -2.2267473424  0.055971903 -0.31521064
## [100,]   0.71658769  1.859618996 -1.4436451470 -1.131856466 -0.27458607
## [101,]   0.71658769  1.859618996 -1.4436451470 -1.131856466 -0.27458607
## [102,]   1.11695221  1.457404590 -1.7797498451 -0.995158024 -0.28286058
## [103,]  -0.29926182  4.078826063 -2.4532605676  0.803671195 -0.74097475
## [104,]  -0.58556944 -1.133211547 -2.3128771335 -1.068948982 -0.64933483
## [105,]   0.64530090 -1.266634565 -3.4745715734  1.732742573 -0.44053121
## [106,]   0.25622888 -2.741187829 -0.9735432495 -2.078369110 -0.82159005
## [107,]  -0.01243338 -2.219051438 -0.7148181311  1.206190982 -0.71826217
## [108,]  -0.05284649 -1.656707024 -0.1125267809  0.310774544 -0.89629140
## [109,]   0.29280448 -2.948468720 -0.3192304305  0.207022719 -1.01575423
## [110,]  -0.31920802 -0.553056620 -0.3654034306 -1.742948139 -1.08437164
## [111,]   0.54339425 -2.232435663 -1.1235274442 -1.602784676  0.15247552
## [112,]   0.78590367  0.062693406 -1.7324895259  0.121900258 -0.14905625
## [113,]  -1.56159357 -3.613425133 -1.5201688690 -0.761201175 -0.36062924
## [114,]   1.70736187  0.667356923 -1.2214063294  1.183280966 -0.43257432
## [115,]   1.88547123 -1.193663205 -1.7844745585 -3.274425432 -0.23700928
## [116,]   2.02438944 -1.297104869 -1.4392433643 -1.928606525 -1.13410654
## [117,]   5.69256190  1.633124827 -1.6504372565 -1.023763582 -0.24903314
## [118,]   3.03199693  0.001918313 -1.7642499326 -0.086533481 -0.17702318
## [119,]   6.13034157  1.380915112 -1.5569624401  1.204672390 -0.13778566
## [120,]   1.00736729 -2.283254056 -1.6638315891  0.675492434 -0.27342791
## [121,]   4.03040455  1.856251235 -1.8092828304  2.719408192 -0.22473342
## [122,]   2.52481990  2.782644223 -1.3888286804 -0.819417313 -0.28883211
## [123,]  -0.80782852 -1.727724562 -1.6029403641 -1.980131737 -0.36760468
## [124,]  -0.84750608 -1.082641147 -1.3965824995  0.183540812 -0.33334909
## [125,]  -1.40053386  2.547202968 -1.7173895358 -0.968811574 -0.55900793
## [126,]   1.67347786  0.412308287 -1.1405946540 -1.662188131 -0.58641297
## [127,]   4.36245789  0.106123976 -1.5468650609  2.829822285 -0.98412716
## [128,]   4.49020552  0.009220135 -0.9305025023  0.967989329 -1.22643905
## [129,]   2.86664430 -2.438578540 -1.1448709022 -0.054987050 -1.48160765
## [130,]   4.27743452  0.851521498 -1.7506683305  3.321199320 -1.72312977
## [131,]  -8.52642681  3.565687861 -0.1567005473  1.469949077 -1.44703702
## [132,]   0.93942347 -2.006053717 -0.3807832474  1.279111300 -1.64343716
## [133,]   3.04874043  2.588168854 -0.3122362379  0.584524606 -1.73428606
## [134,]   0.20955248  5.695159293  0.2032772950  2.026226539 -2.05094722
## [135,]   0.91697763 -2.933918226 -1.6810981995  1.499628947 -1.01051960
## [136,]  -0.89364473  7.327588418 -1.3589287833 -0.197772253 -1.32938494
## [137,]   1.22942199 -1.811282135 -1.0659993497  2.550009861 -2.14020831
## [138,]   1.42694420 -1.990827367 -1.1553172354  0.709867754 -2.19611342
## [139,]  -2.20818056 -2.882124932  5.4203716667  0.933414119 -2.90361503
## [140,]   0.08837867 -1.676762170 -3.2963923944  1.221348953 -0.87606864
## [141,]  -0.40340836 -2.030096056 -2.0731418715  1.576920807 -1.48066866
## [142,]  -0.93390976  0.140614112 -4.2080051569 -0.430157457  0.90987701
## [143,]  -3.92764426  1.417856738  3.4139720692 -4.769978958 -0.69966532
## [144,]  -1.17632329 -1.152532449 -4.6994338745 -1.200197685  0.92669593
## [145,]  -1.50520816 -0.153306412 -2.3390191620 -1.327311046 -1.62715461
## [146,]  -1.98446827 -2.288066342  1.6315162349 -0.667948582 -0.18346469
## [147,]   2.79283646 -0.869752654 -0.0702794761 -0.727702384  0.47003742
## [148,]  -3.99948075 -2.177946381  3.0843564445 -1.007871531  2.27105749
## [149,]   1.75523632  5.545543093 -3.0466169427 -1.589347019  1.03117874
## [150,]  -2.70823301  4.867137857  4.0766114463  0.030528225 -0.75243553
## [151,]  -2.80323012 -4.658831782  1.1496084168 -2.248854978 -0.32592442
## [152,]  -4.53120998 -3.925085571  5.4099698764  1.082640434 -2.87567017
## [153,]  -5.58234489 -5.959589457 -2.1610858083  0.991010810 -0.20501271
## [154,]  -1.37115343  2.604714849  0.2259944770 -0.509183131  0.11763805
## [155,]  -3.75820296 -4.130903353 -3.0900188410 -0.007047533 -1.79833188
## [156,]   1.51545352  4.407232437  2.2822728305  3.731056536  0.97266683
## [157,]  -2.98551544 -3.747964429 -2.4197211725  0.567293631 -0.51324636
## [158,]   1.35137376  0.312803451 -3.1055309951  0.383115712  1.21909614
## [159,]   0.85799057  0.505565297 -2.3101466781 -0.065224299 -0.66671195
## [160,]   1.73922134  3.356567687  2.5367374188 -1.373080472  0.88680736
## [161,]   1.57117936 -1.443253686  1.9429169355  1.279296885  1.23226190
## [162,]   1.48459185 -1.073786730  1.1977447132 -0.055825252  0.71239314
## [163,]   2.48934305  0.857681391  0.6889968178 -3.717701024  1.64687383
## [164,]   0.79917832 -1.975476301  3.6475453323  1.915095062 -0.52367201
## [165,]  -1.22315481 -4.920169628  3.0727276300  0.746428082  0.33912273
## [166,]   3.32133935 -1.086775449  0.8586395152  0.394274015 -0.14258855
## [167,]   2.20107465  0.282892501  1.6956152746  3.248160311 -0.21399590
## [168,]  -1.48970446  2.329959595  1.5417370510 -0.028319917 -0.27692945
## [169,]   2.53920609  4.896831596  1.4929406098 -3.777137538 -0.30869526
## [170,]   0.43604197 -2.158217659  3.6155113593  1.607896199 -0.45518268
## [171,]   0.52773883 -0.846727184  0.5255738707  1.803513591  0.42613178
## [172,]  -1.52494717  0.415804974  3.7895878875 -0.226671651 -0.56459137
## [173,]   0.34183957  1.588558515  2.3048934416 -1.253415124  1.03567416
## [174,]   3.01237460  0.027449617 -0.2968265829  1.682390591  0.08233526
## [175,]   2.58714787  1.154879446 -3.4083327130  2.598895594 -0.95126875
## [176,]  -0.45812316  0.402492458 -3.3865625722 -1.030204395 -1.02711797
## [177,]   3.27366831  2.014451886  1.2715343956 -0.665233887 -0.16836768
## [178,]   0.42900408 -1.886522447 -2.1736533376  0.863996374 -1.55437760
## [179,]   1.09163405 -1.545024242 -2.0303710178  1.297670342 -1.65902529
## [180,]   0.91454273  1.262228729  3.5746073582 -1.033923329 -0.53514787
## [181,]  -0.53170930 -0.904871936 -3.6530864393 -3.258962006 -0.11246700
## [182,]  -0.80157898 -1.121468551  4.1457952699 -0.852055249 -0.71259760
## [183,]   0.12881624 -3.150252601 -0.4070916658  2.040133647  0.58179290
## [184,]   0.96353934  1.594800158  2.3101233987 -0.367056652  0.72079263
## [185,]   0.04979417  3.601305630  3.9203930006 -0.210479101 -0.55571284
## [186,]   2.45999492 -0.522710557 -2.0309445244  0.775416408 -1.55238740
## [187,]   3.11630909  3.016223161  3.5686257169 -0.378598742 -0.44973343
## [188,]   0.02951321 -1.834966210 -3.0642584683  1.285071759 -1.82937508
## [189,]   2.05315214 -1.035727982  0.8058515111  3.836345650  0.95227319
## [190,]   2.13895278 -3.398794435  1.3821747383  0.410165654  1.15981977
## [191,]   3.69761859  4.534744537  1.4634180146  1.800815154 -0.12642552
## [192,]  -0.05339871 -1.534296591 -2.1416628765  1.032383332 -1.46375336
## [193,]  -1.65698697  4.165978545 -2.9141376160 -0.043744261  1.16339068
## [194,]  -0.02865752 -0.419385515  0.0127184623 -0.451967368 -0.90847914
## [195,]  -1.65509852  4.168025580 -2.9177623736 -0.042215467  1.16338255
## [196,]  -2.14490593  2.370435744 -2.2698559058 -0.999092145 -1.58164668
## [197,]   3.28284909  2.024403625  1.2539124973 -0.657801599 -0.16840720
## [198,]   3.38877551  1.642457989  0.4332698855  3.142208277 -0.79424883
## [199,]   4.07455072  0.289859184 -1.5654812789 -2.127284805 -0.42782583
## [200,] -13.19110221  5.457338452 -2.1293633761 -0.595791906 -0.44272492
## [201,]   0.78429296 -1.042634967 -2.8676741589  1.361673073 -1.81721750
## [202,]   1.22632130 -1.807891417  0.8527090434  1.060705252 -0.10273207
## [203,]   0.08356115 -3.331650861  1.2813940050  2.067497390  1.23790940
## [204,]   0.24163558 -3.775571098  3.8598394444  0.338551987 -0.72877988
## [205,]  -1.82483816 -3.776822519 -0.1352185164  0.284019836 -1.36876485
## [206,]   0.60794670 -0.720118127 -0.0947686986  1.865052191 -0.83837012
## [207,]  -2.40988980  7.602842815 -3.0764550371 -1.987052906  1.16433505
## [208,]   0.83169132 -1.265603506  2.7211008256  1.296607874  0.13871109
## [209,]   1.44293491  3.312360120  1.8640409329 -1.855897738 -0.39964127
## [210,]  -2.30078071  5.156655448  3.0345781532 -0.375435516  2.06173521
## [211,]   2.76035603  0.326339816 -0.1516730094  0.650128373 -0.15879127
## [212,]   3.79188111  8.116099971  1.5616142515  0.670831184  0.83093923
## [213,]  -1.40213474  2.578314593  2.0433318718 -0.522308197  0.77188712
## [214,]   3.28384580  0.078087343  1.4583619670 -1.033671253  2.09038020
## [215,]   1.56967040 -0.854865638 -0.9975187380 -0.316940870  0.15882358
## [216,]   1.56967040 -0.854865638 -0.9975187380 -0.316940870  0.15882358
## [217,]   1.27906068 -1.847709664 -0.8936940269  2.510268531  0.07218432
## [218,]   1.90497260  0.204606141 -4.1000427736 -2.196241215 -0.24803909
## [219,]   4.57450327  2.214443324  0.3708555411  2.984433648 -0.82764868
## [220,]   2.60995194 -0.713319386  1.3419228117  1.520931202 -0.04225471
## [221,]   0.86509987 -2.305777808  3.5126768804  0.562066358 -0.57572867
## [222,]   0.78203037  2.858208642 -1.6028071797  0.951176043 -0.33982926
## [223,]   3.39787352  0.190916462 -1.3973128568 -0.959294010  1.10871582
## [224,]  -0.38446476 -2.135736495 -4.1625179748  0.701392953  1.57246281
## [225,]   2.02584573 -1.244484512  2.1117832634 -0.864183426  0.81237458
## [226,]   0.50498584 -1.892820568 -0.6562042863 -1.494510898  0.00820723
## [227,]   1.66707590  2.009635732  2.5822230726  0.314833597 -0.20767227
## [228,]  -0.58833719  1.346413066  3.6143252101 -0.128710701 -0.58215680
## [229,]  -2.43341507 -3.302329674 -0.0004485533 -0.162162656 -1.77730960
## [230,]   1.30553974  2.006693278  3.5476805171  0.726189097 -0.58809717
## [231,]  -1.07971050 -0.730325374 -0.5459869945 -1.096311548  0.02963093
## [232,]  -1.98198690 -3.011603514 -3.2418254303 -0.041819701 -1.81813709
## [233,]   1.93481690 -0.729679331  1.1641360849  1.068181346  0.72239082
## [234,]  -5.00786583 -3.143509154  3.8538520703 -0.532367955  1.66695150
## [235,]   5.18419357  2.341157080 -0.0844389764  1.405445280 -0.91633671
## [236,]   0.73362325  1.896988401  3.3364469435 -1.344467984 -0.54539105
## [237,]   2.28697655 -0.401980524 -3.6393579950  2.267764517  1.29744507
## [238,]   2.56134741 -0.136813174 -4.4380480666  1.768909912  0.99523216
## [239,]   0.24221079  0.098532513 -1.2570408838  0.548633408 -0.26650483
## [240,]  -6.15644568 -4.731249034  1.2140252557  1.971585041  0.33940386
## [241,]  -1.28397063 -4.820342141  0.1034266229  1.113559106  1.84659847
## [242,]  -0.31609729 -0.320632723 -0.6039250434  1.017892813  0.30480957
## [243,]   1.22777141  0.647431045 -2.9496504026  0.592193281 -0.67577960
## [244,]  -4.97191964 -0.016728541  1.5334165320 -3.811224525  0.93868372
## [245,]  -2.84769876  2.151820956 -2.7378885320 -3.435812538 -0.68475306
## [246,]  -4.58091109  1.645974934 -1.6142977716 -2.510992839 -0.27612770
## [247,]  -3.93258120  1.835237497  0.3087424147 -1.539341821  0.40575906
## [248,]  -4.62423047 -4.866131326 -3.4427475522  1.154162741 -0.57054832
## [249,]  -5.06886193 -0.104365723  3.8232183819  0.783828307 -0.41251438
## [250,]  -0.77327647  1.667405530 -1.4794865282  3.832227490 -0.11727689
## [251,]  -3.09634261  1.257745293  3.6720591046  0.668755127  0.50949903
## [252,]  -2.17251962  1.314576573  3.5427781430  0.862483553  0.48798222
## [253,]  -0.64483752  2.267419352  1.7321112837  0.653996977 -0.19509961
## [254,]  -0.51646282 -2.059215612  2.1591997981  0.801093793  1.08826053
## [255,]   2.29966694 -1.552720243  1.0408038702  0.529417789  1.72648620
## [256,]  -3.36106033 -3.168692703 -2.2850204517 -1.107155553 -1.66305331
## [257,]  -2.56950510 -2.525559147  3.5304427997  1.300866770 -0.47152663
## [258,]  -0.67882775 -1.404176052 -1.1452692547  1.082873269  1.01906993
## [259,]  -2.54773452  1.061644546 -1.8234911202  3.251091154 -0.12480654
## [260,]  -2.79896984  1.830489758  2.2617174962  2.184614736  1.17906900
## [261,]  -6.41848681 -0.736283205 -2.8577559205 -0.411326243 -0.62316714
## [262,]   2.25836316 -0.704433227 -2.2319961731 -3.180711908 -0.48467745
## [263,]  -1.12872119 -1.442712608 -2.6449856374  0.579894806 -0.56422448
## [264,]   1.85489277 -0.569234508  1.1179760085  0.128712635  1.71452768
## [265,]  -1.35224308 -0.170059920 -0.8707769846  0.861023128  0.10720081
## [266,]  -3.82510109  0.406613079 -1.1682339587 -3.493585398 -0.14527045
## [267,]  -3.32988072  6.975325105  1.2988731009  1.468756478 -0.32465952
## [268,]  -0.99678391  4.064720318 -2.7740291012  1.260065424  1.36258213
## [269,]   0.14135465  4.354133917 -1.2367038789  1.530299858 -0.21738309
## [270,]  -0.96168148  2.704106056 -0.7388988781  1.812358212  0.10052377
## [271,]  -3.40904860  1.216709651 -3.4896824749  0.982470349  1.33059411
## [272,]  -2.45048309  1.785481837  3.4890881020 -0.189861953 -0.54476340
## [273,]  -0.98873568  3.150288506 -2.2028288313  0.559808899 -1.53686441
## [274,]   5.63144038  5.547413646  0.0675767392 -2.892501299 -2.08740818
## [275,]   4.97233866  3.843259206  3.7221643163 -2.776889988 -0.74851744
## [276,]   6.07965722  0.762724212 -0.0501970137 -0.108515460 -1.93128153
## [277,]  11.93021085  6.442133520  0.2855510643 -2.891630871 -0.16345422
## [278,]  11.95327710  6.463545407 -0.6376584875 -2.878935524 -0.49061136
## [279,]  11.93628295  6.448715524  0.2738960746 -2.886715212 -0.16348035
## [280,]  11.91847339  6.429410411  0.3080803268 -2.901132910 -0.16340370
## [281,]   8.16644715  3.862627872  0.1492612279  0.594358243 -1.95610303
## [282,]  11.07173427  5.773065450  2.3759140452 -3.013061582 -0.45289975
## [283,]   7.76016113  3.083753033  1.1770183313  1.102330720  1.58325844
## [284,]   5.39437740  0.150699775 -1.6846188757  1.882105229 -0.11159313
## [285,]   3.64728740  3.274967480 -0.0556020773 -2.502414950  0.34232371
## [286,]  -1.79369038 -0.054241442 -2.5361271113 -2.040518407 -1.38650622
## [287,]  -0.29530105  0.978193903  1.9063876471 -2.656869556 -0.78837765
## [288,]  -3.30961053 -3.227456469  1.7214249271  0.724203093  1.13213622
## [289,]  -2.97733786 -2.398688971  2.0440496102  1.607500465  1.18805510
## [290,]  -2.81120587 -2.211582026  2.0896916908  1.627420075  1.18996223
## [291,]  -0.94063088 -2.071264767 -2.5853188438  2.134756152 -1.43392509
## [292,]  -4.85724064 -3.964442119  3.6720740538  2.192028846  1.87642223
## [293,]  -2.19839261 -4.728450484 -0.6221487333  1.876525951 -0.72112805
## [294,]  -3.04784396 -0.884185546  2.4364394693 -1.534872092 -0.60571479
## [295,]  -1.38314358 -3.843099117  3.0263574013  0.158507665 -0.52137769
## [296,]  -2.05757591 -1.803994061  2.0998455551  2.655106838  0.45472407
## [297,]   2.61255171 -1.376214847  1.0131932059  2.537221412  0.91888035
## [298,]   1.75276920 -1.826497513  3.5213109654  2.030299272 -0.32379711
## [299,]  -1.29957085  2.074950640  3.5439954184 -0.225230431 -0.34746248
## [300,] -16.43793538  7.664902579  0.8912097966  1.556089348  0.26507421
## [301,]  -0.05058763 -0.611029287  1.5472476737 -0.836944317 -0.09551676
## [302,]  -0.44054872 -1.392830221  1.2652452953 -1.341143114 -0.13195654
## [303,]  -0.16934523 -2.236086283 -1.3065204795 -0.373162256 -1.97823865
## [304,]  -0.16934523 -2.236086283 -1.3065204795 -0.373162256 -1.97823865
## [305,]  -4.18259122 -6.139120613  0.0226473008 -1.170916535 -0.16488826
## [306,]  -0.45962516 -2.846753774 -3.5231823530  1.041396153 -1.01765953
## [307,]   0.97732368 -1.680300795  2.2045467801 -1.983402027  0.81612821
## [308,]  -2.24263030 -2.975315031 -1.4776568577 -0.731859725 -0.37994965
## [309,]   3.50836845  1.478424160 -2.1854334433  2.450925798 -0.70685305
## [310,]  -1.50616419 -0.630915799 -2.2039052518  1.157673280 -0.66539443
## [311,]  -1.96742476 -0.899448006  2.4890761321  0.507899060  0.95391909
## [312,]  -1.66583862 -0.858374792  1.1822631100  1.449120732  1.60118021
## [313,] -15.95759983 11.780187703 -2.3360302602 -2.374118116 -0.59272688
## [314,]  -0.34958317 -0.697372073  1.9566481827 -1.597264856 -0.38773096
## [315,]   1.56231941 -0.579889532 -0.3656873556  1.844292333 -0.01481637
## [316,]   4.26217479  1.389455422 -0.8593578220  1.180276129 -0.32800047
## [317,]   4.28658035  2.188022850  0.3745631902 -1.670671690 -1.12390766
## [318,]   3.76473480  1.766390958  0.0066936838 -0.894693418 -0.14327810
## [319,]   2.22986877 -0.815154256  2.1141762925  1.246732733 -0.28980846
## [320,]   2.43435878 -0.153507775  0.7991029733 -2.795401544  0.17340831
## [321,]   3.98690883  0.636877022  1.3218491722 -3.429924189  1.39348674
## [322,]   6.34368934  1.895804804 -2.7196836831  0.196223141 -1.07313090
## [323,]   6.14615654  1.702778054  2.3397287388  0.113803018 -0.38121528
## [324,]   7.63415761  3.011170670 -0.4506004166  1.781292158 -1.29685419
## [325,]   2.03883385 -0.903657873  1.6857245091  1.893911712 -0.41650548
## [326,]  -0.60204571 -1.150714687 -3.1250016736  0.192828688 -1.02436025
## [327,]  -0.65398511 -1.232914164  0.6526032136  0.122057353  0.28395616
## [328,]   0.98213871 -0.631632317  1.9519494895  1.321976894 -0.31715244
## [329,]   1.80979420 -0.330533353  1.9565225869  1.866717724 -0.31170676
## [330,]  -0.04544095 -0.727168685 -0.5960435167 -0.684917559  0.86434338
## [331,]  -0.63782503 -1.185452949 -1.5840391484  0.128216676  0.57413338
## [332,]   1.43542177  1.095491661  2.7139554781 -0.867336742  0.91039191
## [333,]   3.36317595  1.377531090 -0.1945556516  1.823476300 -0.01614934
## [334,]   0.31097903 -0.853765275 -3.5512097426  0.692238615 -1.09650188
## [335,]   2.11187150 -1.756282097 -2.7619251861 -1.942554630  0.13910748
## [336,]   4.17268145 -2.612817094 -1.3225380480  2.068661457  0.86283696
## [337,]   1.52020815 -2.305127713  2.3948357241  1.062466485  0.96171323
## [338,]  -0.12714737 -2.773983619  1.0255029574  0.786746124  1.60351590
## [339,]  -0.20777111 -2.948955506  4.0180405059  0.801938706 -0.57635066
## [340,]   1.13640409 -2.388035754 -2.3062759960  1.463482098 -0.65186172
## [341,]   1.67148237 -2.155969943 -2.0046177827  1.202643494 -1.61845109
## [342,]   3.65887343 -1.320534937  4.0150192562  1.508442532 -0.62194368
## [343,]   1.48197797 -0.707354918  1.3286994891  1.594821689  1.62707530
## [344,]   3.63475177  0.266300005  4.0790854431 -0.601735283 -0.68462972
## [345,]   4.96184441  0.489736504  1.0165692145 -0.789042772  1.44964671
## [346,]   4.09126490  0.809606908 -2.7384108340  0.793464446  1.19097903
## [347,]   1.37050150 -0.552444658 -3.1256171615  1.310095605 -0.96331673
## [348,]   4.40107028  0.801629204  0.1685313963  0.873971453  0.15251464
## [349,]   0.79308619 -0.382001966 -1.6512613950 -0.651528525 -0.48692960
## [350,]   3.56068772  0.794981376  0.2998230341  0.695156609  0.17353371
## [351,]   4.40645964  0.807471127  0.1581868959  0.878334394  0.15249144
## [352,]   3.01716664  1.349500649 -0.5227012692 -2.092629756 -0.23390526
## [353,]  -0.27574250 -0.564865232  2.3025306717 -0.048776861  0.88105052
## [354,]  -0.17690693 -0.807772001  2.2458750895  0.874794218  0.90787709
## [355,]   0.32361850 -0.710708334  2.2173521013  1.468607981  0.91898829
## [356,]   0.75312324  0.623564668 -0.3664752881 -1.141015680 -0.14248029
## [357,]   0.73598190  0.604983890 -0.3335736425 -1.154892420 -0.14240652
## [358,]   2.72205019  1.054164750  1.0724560498  0.480728767  1.49031322
## [359,]   1.54155500  0.944235859  1.2785190832  1.117774556  1.55385771
## [360,]   0.52258012  0.336117033 -3.2067072413  1.564268079 -1.00081374
## [361,]   2.15792348  1.092616876  1.9231497874  1.795303343 -0.32425469
## [362,]   2.91603606  1.696713328 -0.6453749816  0.113237595  0.83490847
## [363,]  -1.75559031  2.060356056  2.0473826286  1.038583495  0.77463678
## [364,]   3.44998421 -1.456974652 -0.8075548660  1.445095556  0.90118927
## [365,]   1.35893648 -1.863147207  1.9041568113  0.574835106 -0.31309864
## [366,]   1.39219760 -2.222891758  1.6886950416  0.234833724 -0.34255115
## [367,]   3.91512052  5.901758711  0.3377164713 -0.545512223 -1.09469984
## [368,]   4.74988569  6.636302177  0.5995548514  1.334259898 -1.01728418
## [369,]   2.26449939  0.548047685  1.7598594245 -0.964296700 -0.45738944
## [370,]   4.97571182  0.910298582 -0.3291259241 -3.301219991 -0.80235722
## [371,]   4.91303124  0.849991378  2.1424071992 -3.381631976  1.12331006
## [372,]   3.35950133 -0.404558076 -1.7620145830  0.370011852 -0.22022086
## [373,]   5.88051930  0.308613483 -0.4216824720  3.766034704 -0.66694512
## [374,]   2.16511321  2.943578073  0.5437254739  1.890165167  0.57895734
## [375,]   7.36845267  2.642652882  1.7470793687  0.740853750 -0.01087375
## [376,]   2.20791512  0.089216580  1.5053836510 -0.910962438 -0.47150422
## [377,]  -0.21235221 -2.204262973  3.6524682528  1.359315748 -0.28036870
## [378,]   2.45642708 -0.743994488 -3.4695674517  1.693341522  1.56329979
## [379,]   4.37895303  0.461565406  1.0467823126 -0.492014562 -0.22573538
## [380,] -31.36124223 23.358313005 -0.5894239959  4.541824659 -0.17059775
## [381,]   0.67059676  1.175208006  0.1568985607 -2.759798899  0.27103314
## [382,]   2.11520683 -1.416901485  3.5996179505  1.232952089 -0.32264594
## [383,]  -3.94839155  3.017530607  3.9037133520  2.447032353 -0.27899237
## [384,]   1.16819513 -2.540382196  4.5794150233  0.743021294  0.09195840
## [385,]   2.69460227  0.633906347  3.5075590275 -0.761104020  1.61484269
## [386,]  -0.03245663 -2.131500479 -2.7028304385  1.438001011 -0.37300650
## [387,]  -2.77667933  0.511536032 -1.8088109516 -1.641403502 -0.50816358
## [388,]   2.38882644 -0.623440574  0.0255987252 -0.420044355 -0.52167022
## [389,]   1.38608315  1.255068335  1.4629657157  0.998436219  0.92851708
## [390,]   1.31092467  1.177189779  2.4861628111  0.943569695  1.25589843
## [391,]   0.97121311 -1.181591032  1.3040024144 -1.610560074  1.04153050
## [392,]  -0.79023984 -2.534284827  3.7306932487  0.533019853 -0.64150212
## [393,]   2.58277565  0.618022414 -3.5696491336 -0.209704992  0.30197597
## [394,]   3.46479630  2.759272178 -2.6330672126 -2.170656471 -0.65226247
## [395,]   2.96158044 -1.745240453  0.9008211118  2.949444348 -0.05953382
## [396,]   0.10802610 -2.601856589 -1.2252780737  2.658744485 -0.69737828
## [397,]  -2.68822084  0.474898958 -1.1225335294 -1.199894929  0.78097576
## [398,]  -0.77356461 -1.684500255  1.0633133725 -0.127502191 -1.30311146
## [399,]   0.26604884 -1.583133996 -3.8866084407  0.253299921  1.23030362
## [400,]  -8.45758996 -2.660573011  3.6604814308 -1.011390501  0.74885232
## [401,]  -8.44573629 -2.647723931  3.6377291063 -1.001794382  0.74880130
## [402,]  -2.63602852 -2.436648527 -1.6936483565 -0.870950070 -0.43716315
## [403,]  -0.44134515  0.112777967  5.8626752089 -0.093224296 -2.83701862
## [404,]   0.70968050 -1.158226208  3.9313245425  0.010007770 -0.31553622
## [405,]  -0.74310080 -2.700324922 -2.2491757979  0.722252337 -0.64280694
## [406,]  -1.17817116 -2.158888271 -3.0075447698  1.016939139  1.56261815
## [407,]   2.75588804 -0.079015221  1.7602698669 -1.247310268  0.04485097
## [408,]  -1.18735287 -2.701475010 -0.8966850993  0.081462075 -0.74241916
## [409,]   3.77450667  1.939293809 -0.4090293618  0.864921564  1.32778177
## [410,]  -2.53428532  0.626564100 -3.6024497334 -1.288075292 -0.94037456
## [411,]  -1.46521404 -2.611735874  0.4182473817  1.240732771  1.85992535
## [412,]   2.83561500  0.473023044  1.7056572104 -4.561742303  0.94072239
## [413,]  -1.32632379 -0.753699282  4.0516151359 -0.732207572  1.71784986
## [414,]  -0.49867435 -2.110725651  2.6990233598 -0.357116524  0.34420627
## [415,]  -1.03872786 -1.504436374  0.1968087135 -0.479394152  0.59255645
## [416,]  -0.77414348  2.655028313  1.9385506208 -0.114358252 -0.36852789
## [417,]  -3.42540709 -3.354327281  0.6669615310  0.003472018  1.84289936
## [418,]   4.18951025  1.351274487  1.4206372005 -0.544963890 -0.21833258
## [419,]  -1.49138794 -1.930809423 -2.5847772233 -2.039358087 -0.45067062
## [420,]  -1.40686985 -2.091758891 -2.1950734994 -0.605175120 -1.35518010
## [421,]  -2.26277376 -2.334491692  3.9029337478 -1.068108262 -2.22817774
## [422,]  -4.42256950  3.639605083 -2.2811013652 -0.326108473 -0.43481311
## [423,]  -2.71465822 -2.203398293  4.1751556155 -0.897955828 -0.16193747
## [424,]  -2.21870634 -2.199142701 -3.8943323296 -0.809980572 -0.14522536
## [425,]  -0.70701588 -2.161754614  3.9792860067 -0.376228763 -0.26888644
## [426,]   1.72265828 -2.102999952 -3.1524873426  1.256579520  1.59792297
## [427,]   1.43628119 -2.379329074  3.8131441402  1.251021726 -0.21539284
## [428,]  -2.91872838 -2.776803215 -2.4948491589  0.860832152 -0.30711693
## [429,]  -1.30663009  1.730595115 -3.6729783562 -1.759346788  0.13320822
## [430,]  -2.24650304 -2.949014306 -1.7725259706 -0.762963562 -0.09049597
## [431,]   3.76725733  1.809644074  2.7652501272  0.315076215  1.34909590
## [432,]  -1.00536213 -0.635556827 -3.8417527604 -0.259289680  0.17655494
## [433,]  -0.16292394  2.239715560  3.9284804253 -2.455235828 -0.45646406
## [434,]  -0.22590494 -1.562245739 -2.9133523076 -1.116209211 -0.44974750
## [435,]   2.03163323 -1.058103680 -3.1370602258 -0.153783852 -0.62200884
## [436,]  -4.99890933 -6.964220341 -2.9638392100  1.075919867 -1.36449722
## [437,]  -2.57256684 -2.877824056  3.8317481292  1.790584209 -0.20538773
## [438,]   2.55692863  2.260756659  3.7803422548  1.817721888 -0.27043422
## [439,]  -0.48699798 -2.869055588 -2.3949395273 -0.592703863 -1.33466239
## [440,]   0.73928586 -1.607540625 -3.6813472863  1.261216544 -0.08852086
## [441,]   5.02885406  2.101068815  0.7228971002  0.640105406  0.66418798
## [442,]  -0.73343832 -1.454954609  4.0515536189  1.576770154 -0.22617020
## [443,]   0.71340469 -4.165689496  0.6556466903  1.166179212 -0.06313808
## [444,]  -3.79088504  3.338599474 -5.0970977287 -2.845695331  0.78163141
## [445,]   5.12206947  2.194474999 -1.8072455648  0.745236803 -1.26161071
## [446,]  -4.78881552 -6.161902216 -1.0008261612 -0.528363667 -0.49792464
## [447,]  -0.58969358 -3.141522738  1.1235670319  1.357646587 -0.01485376
## [448,]   7.09464930  2.927131460 -1.7573540333 -2.192034878 -0.36970590
## [449,]   6.10932029  4.715289366  2.4215366832  1.019245716  1.24741411
## [450,]  -0.10274888 -2.367909826  1.8574315074 -1.302221444  1.14672418
## [451,]  -2.11473628  3.765038905 -0.4563070844 -0.715384312 -0.81569273
## [452,]   0.32348111  5.338066003 -4.0067659494  0.583845648 -0.89354505
## [453,]   2.06850088 -1.063891525  2.0861286496 -0.193669588  1.24208951
## [454,]   3.98510751  0.541854881  0.0508929305  0.838752268 -0.58913541
## [455,]   4.64602265 -0.279370095 -1.3645824929  0.899262897 -0.01436714
## [456,]   0.97760536  4.242177579 -1.6265774518  2.434534836 -0.18092268
## [457,]   4.44502307 -0.573468244 -2.3727073471  1.289541121 -0.32975003
## [458,]   1.28692222 -0.880794420 -3.7371616635 -0.055502328 -0.76356705
## [459,]   1.82189229 -1.956764148  3.5685623348 -1.124527902 -0.37997883
## [460,]   4.20998701  0.770158975  2.1834326441 -3.869804894  1.10884466
## [461,]   2.03900497 -1.746104652 -2.4073677789 -1.032234820 -1.39903659
## [462,]   1.81706947 -1.961991960  3.5778194080 -1.128432205 -0.37995807
## [463,]   4.65484306  0.813801041 -3.5074683010 -3.341670669 -0.83571384
## [464,]  -2.26644303  1.561826340  0.6593111794 -1.389520182 -0.13284347
## [465,]  -2.09723041  1.765920660  0.4438965701 -0.524751774  0.85088203
## [466,]   2.56052910  1.404195999 -3.5740174020  4.163966398  1.56586984
## [467,]   2.33174422  1.479405127  1.1709527214 -0.636516934 -0.18902595
## [468,]   3.57236595  0.341868460 -1.9793894500 -0.316064354 -0.22709157
## [469,]   3.59125230  0.929821012  1.4125908012  1.503450934 -0.11520161
## [470,]   1.63371548  3.878576970  0.4016206246 -3.834802764  1.53259145
## [471,]  -1.12039623  1.985664184 -0.0935927044 -0.750694690  0.41933177
## [472,]  -1.50874337 -3.687999275 -1.7305040855 -0.057908003  1.14027838
## [473,]  -2.07382871 -5.242129223  1.6809806892 -0.333620956  2.50417513
## [474,]  -7.56825910 -4.959940684  2.9098781597  0.165216335  1.83143204
## [475,]  -5.38985890 -3.440547282 -1.5712757646  0.765543370  1.21393740
## [476,]  -3.78827494  4.121439173 -2.6509970214 -4.338348695 -1.62138741
## [477,]  -4.81213153 -4.112431278 -1.3392812041  1.874091964  1.16934115
## [478,]  -6.70502248 -1.451091544 -1.6660047295 -0.250103057  1.04636574
## [479,]  -4.93239565 -2.029156917  0.9831495080 -0.331192385  1.00027447
## [480,]  -4.75320163 -4.490874340  0.6834791894 -1.551278108  1.11194758
## [481,]  -5.87692160 -4.103915411  5.5150824771 -1.637583897 -2.99524994
## [482,]  -5.18718418 -3.400936103 -1.0776727133 -2.058959931  1.02074836
## [483,]  -1.88720742  0.746399869 -1.7518263759 -1.680613043 -0.34748227
## [484,]  -6.72324849 -1.669480252  3.5458218043 -2.143646280 -0.53833632
## [485,]  -8.02194015 -2.436473863 -2.5720224181 -0.893312436 -1.49363215
## [486,]  -8.24565819  3.521212474 -2.7395858783  0.678326653 -0.58138490
## [487,]  -3.51906008  2.769388800  0.0628903350 -1.869467435  0.28465327
## [488,]  -4.43784787  2.266704030  0.1339050499  0.635592566  0.40295567
## [489,]  -2.96586282  2.074775519 -1.4693753624 -2.904226332 -0.13421042
## [490,]  -2.81361415  1.846042356 -1.0605786943  3.275392768  0.11623642
## [491,]  -6.15732498  1.350652400 -0.8618539436 -0.048807245  0.07291589
## [492,]  -5.96901105 -1.830016249 -0.7338492733 -1.346807827  0.11157586
## [493,]  -5.84757413 -4.536011400 -4.0238703338  0.523520268  0.17788542
## [494,]  -1.87946763 -1.933102497 -3.9373350847 -1.053284232  0.06635964
## [495,]  -5.52737829 -1.858428394  1.6776331689 -1.600065826 -1.13530093
## [496,]  -1.98617640  1.701138908  1.8147498568  2.153507893 -1.07610297
## [497,]  -6.96024683 -0.369498392 -0.4655723960  0.378596805 -0.76598665
## [498,]  -6.03607950 -2.056634934 -1.7591539278  0.975301587 -0.09463510
## [499,]  -6.78070547 -2.411410359  1.2957729939  0.363985327 -0.07036815
## [500,]  -6.44249927 -3.600851279  1.7321119666 -1.764921702  0.14056929
## [501,]  -2.06435189 -1.119288389  3.2545834077 -0.938780025 -0.52425750
## [502,]  -2.00946220 -1.066517778  1.9847065721 -0.947924791  0.09267228
## [503,]  -1.64529164 -0.982227159 -1.2273610642 -0.853576127  0.04662395
## [504,]  -6.72063915  3.869885344 -2.5799933048 -0.669995932 -0.68174212
## [505,]  -6.32776606  4.162383946 -1.1119481912 -0.629103433  0.91573252
## [506,]  -3.68889181 -0.909173168 -4.0303016889  1.408749140  1.09156257
## [507,]  -0.32971223 -2.315389687 -4.5456281333 -5.085635981  0.79505483
## [508,]  -2.80563859 -3.055689674 -2.5205014904 -0.704562053 -0.52423237
## [509,]  -2.72926837 -2.982771792 -4.1171930914 -0.743920016  1.03682886
## [510,]  -2.44805075 -3.669473902 -0.2044737779 -4.565187714  0.26797946
## [511,]   0.84561730 -1.642796999  1.4510859145 -1.834885106 -0.27934618
## [512,]  -9.22937716 -4.848412319  3.7073114773 -0.791588043 -0.52236521
## [513,]  -8.65019996 -4.294235213 -0.9868395608 -0.740247510  1.00330755
## [514,]  -8.34592477 -5.370654226 -3.3635982846 -3.507333795 -0.76774532
## [515,]  -7.82119463 -4.987959637  1.5333413808 -4.434929430  0.83222910
## [516,]  -3.05808294 -2.260869125 -3.7375706978 -0.531286482 -0.88233339
## [517,]   0.74974823  1.504731928  0.9884369798 -0.109765970  1.78859548
##                 PC11
##   [1,] -0.0060613733
##   [2,]  0.0585515110
##   [3,]  0.0933920427
##   [4,]  0.0264344390
##   [5,] -0.1722029124
##   [6,] -0.0460354253
##   [7,] -0.0322318362
##   [8,] -0.0557179193
##   [9,] -0.0685917844
##  [10,] -0.0688289162
##  [11,] -0.1037277354
##  [12,] -0.0033544376
##  [13,] -0.0757116078
##  [14,] -0.0168916005
##  [15,] -0.0275248881
##  [16,] -0.0879787901
##  [17,]  0.0306597702
##  [18,] -0.0341293521
##  [19,]  0.0065282754
##  [20,]  0.0483031201
##  [21,]  0.0169426890
##  [22,]  0.0198768475
##  [23,] -0.0461998132
##  [24,] -0.0711889780
##  [25,] -0.0630780677
##  [26,] -0.0894691584
##  [27,] -0.0214348118
##  [28,] -0.0148819006
##  [29,] -0.0601136484
##  [30,] -0.0489281860
##  [31,] -0.0196248962
##  [32,] -0.1244115442
##  [33,]  0.0162886668
##  [34,]  0.0075615701
##  [35,]  0.0111510019
##  [36,] -0.1005484018
##  [37,]  0.0047434310
##  [38,] -0.0351459714
##  [39,]  0.0391862587
##  [40,]  0.0293631789
##  [41,] -0.0110974935
##  [42,] -0.0390360322
##  [43,] -0.0511871484
##  [44,] -0.0243809959
##  [45,] -0.0768638030
##  [46,] -0.0193856826
##  [47,] -0.0664842485
##  [48,] -0.0502587176
##  [49,]  0.1047011735
##  [50,]  0.0143515327
##  [51,]  0.1147051259
##  [52,]  0.0208723080
##  [53,] -0.0392952134
##  [54,] -0.0392952134
##  [55,] -0.0018729580
##  [56,] -0.0077303053
##  [57,] -0.0911471162
##  [58,]  0.0297975655
##  [59,]  0.0239594235
##  [60,]  0.0607116034
##  [61,]  0.0483303675
##  [62,]  0.0287423428
##  [63,]  0.0014461005
##  [64,]  0.0388110573
##  [65,]  0.0116065809
##  [66,] -0.0094045184
##  [67,] -0.0260324781
##  [68,]  0.0157444023
##  [69,]  0.0023199981
##  [70,]  0.0324902023
##  [71,]  0.0068691500
##  [72,]  0.0339335325
##  [73,]  0.0191233940
##  [74,]  0.0043652538
##  [75,] -0.0181646853
##  [76,] -0.0528453411
##  [77,] -0.0200518803
##  [78,]  0.0010748061
##  [79,] -0.0141916801
##  [80,]  0.0304773517
##  [81,] -0.0131294623
##  [82,]  0.0424218426
##  [83,] -0.0293421394
##  [84,]  0.0644547533
##  [85,] -0.0109716506
##  [86,]  0.1399585185
##  [87,]  0.0272430467
##  [88,]  0.0333231372
##  [89,] -0.0299075884
##  [90,]  0.0124134170
##  [91,] -0.0653015523
##  [92,] -0.0043135817
##  [93,] -0.0555428893
##  [94,] -0.0393817761
##  [95,]  0.0121238671
##  [96,] -0.0402395217
##  [97,]  0.0552623795
##  [98,]  0.0926080151
##  [99,] -0.1017743002
## [100,] -0.0149547515
## [101,] -0.0149547515
## [102,] -0.0540733240
## [103,]  0.0010441945
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## [105,]  0.0117476426
## [106,] -0.0379974073
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## [108,]  0.0156626323
## [109,] -0.0247237807
## [110,] -0.0558181821
## [111,] -0.0070865234
## [112,]  0.0524244344
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## [114,]  0.0491434265
## [115,]  0.0089581736
## [116,]  0.0333003820
## [117,]  0.0585627325
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## [119,]  0.1086212477
## [120,]  0.0106738548
## [121,]  0.0005230244
## [122,]  0.0002755616
## [123,] -0.0615661140
## [124,]  0.0290280695
## [125,] -0.0637331987
## [126,]  0.0256892552
## [127,]  0.0877728080
## [128,]  0.0318439371
## [129,]  0.0168144102
## [130,]  0.1168612354
## [131,]  0.0953705840
## [132,]  0.0468956199
## [133,]  0.0349530448
## [134,]  0.0275176287
## [135,]  0.0493496916
## [136,] -0.0428974652
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## [139,] -0.0170396929
## [140,]  0.0305881106
## [141,]  0.0240241286
## [142,] -0.0174872441
## [143,] -0.1663308380
## [144,] -0.0463051046
## [145,] -0.0435653112
## [146,] -0.0487852467
## [147,]  0.0026678056
## [148,] -0.0203938951
## [149,] -0.0233386338
## [150,] -0.0240995481
## [151,] -0.1004303886
## [152,] -0.0414176561
## [153,] -0.0520664793
## [154,] -0.0622927533
## [155,] -0.0251825879
## [156,]  0.0184746437
## [157,] -0.0151637835
## [158,]  0.0043320910
## [159,]  0.0177760980
## [160,] -0.0213119888
## [161,]  0.0334665244
## [162,] -0.0456835861
## [163,] -0.0369180482
## [164,] -0.0453958549
## [165,] -0.0938072117
## [166,] -0.0103463401
## [167,]  0.0320825412
## [168,] -0.0509894568
## [169,] -0.0168068556
## [170,] -0.0513779891
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## [172,] -0.0344758381
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## [175,]  0.0602011936
## [176,]  0.0007289662
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## [178,]  0.0175050982
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## [187,]  0.0104103558
## [188,]  0.0241480527
## [189,]  0.0536310258
## [190,] -0.0543944147
## [191,]  0.0690924405
## [192,]  0.0132478161
## [193,]  0.0124427487
## [194,]  0.0033434923
## [195,]  0.0125372280
## [196,] -0.0402193488
## [197,]  0.0404297351
## [198,]  0.1230505778
## [199,] -0.0401359702
## [200,]  0.0728912842
## [201,]  0.0542934790
## [202,] -0.0222212718
## [203,] -0.0160697902
## [204,] -0.0172213425
## [205,] -0.0894270478
## [206,]  0.0260785584
## [207,] -0.0355627709
## [208,]  0.0043569834
## [209,] -0.0214076270
## [210,] -0.0312865273
## [211,]  0.0793344989
## [212,] -0.1068882867
## [213,] -0.0753267282
## [214,] -0.0074106559
## [215,]  0.0243061046
## [216,]  0.0243061046
## [217,] -0.0143038894
## [218,] -0.0592755703
## [219,]  0.1257454632
## [220,]  0.0630001277
## [221,] -0.0557494364
## [222,] -0.0086999635
## [223,]  0.0155201191
## [224,] -0.0786561625
## [225,] -0.0502571015
## [226,] -0.0496014087
## [227,] -0.0009696496
## [228,] -0.0283401577
## [229,] -0.0279282267
## [230,] -0.0139229861
## [231,] -0.0077763960
## [232,] -0.0032505565
## [233,]  0.0077224384
## [234,] -0.0447648210
## [235,]  0.1011186661
## [236,] -0.0464920422
## [237,]  0.0434030799
## [238,]  0.0681837622
## [239,]  0.0478934021
## [240,] -0.0839265369
## [241,] -0.0337991348
## [242,]  0.1032025753
## [243,] -0.0542375709
## [244,]  0.7718329303
## [245,] -0.1194880842
## [246,] -0.0933709026
## [247,] -0.0862502830
## [248,] -0.1099673417
## [249,] -0.0635798359
## [250,]  0.0366844649
## [251,] -0.0370627673
## [252,] -0.0495027006
## [253,] -0.0243858652
## [254,] -0.0286989445
## [255,] -0.0066760835
## [256,] -0.0369029163
## [257,] -0.0686238436
## [258,] -0.0349529835
## [259,] -0.0277628134
## [260,] -0.0293876967
## [261,] -0.0658265565
## [262,] -0.1383407795
## [263,] -0.0107282905
## [264,] -0.0078561266
## [265,] -0.0672480098
## [266,] -0.1520886711
## [267,] -0.0709616996
## [268,]  0.0459550336
## [269,]  0.0401505134
## [270,] -0.0241939850
## [271,] -0.0617564402
## [272,] -0.1090383099
## [273,] -0.0156735332
## [274,]  0.0288154243
## [275,] -0.0131857628
## [276,]  0.0558986978
## [277,]  0.1655027724
## [278,]  0.1723987669
## [279,]  0.1658065594
## [280,]  0.1649155476
## [281,]  0.0998324061
## [282,]  0.1348067838
## [283,]  0.1012510738
## [284,]  0.1229216671
## [285,]  0.0164052267
## [286,] -0.0790544509
## [287,] -0.0002348545
## [288,] -0.0845766240
## [289,] -0.0264230399
## [290,] -0.0194735941
## [291,] -0.0097610867
## [292,] -0.0682028711
## [293,] -0.0166625841
## [294,] -0.0832005212
## [295,] -0.1238453785
## [296,] -0.0568820827
## [297,]  0.0273797758
## [298,]  0.0009683294
## [299,] -0.0639417718
## [300,] -0.0047140830
## [301,] -0.0037053591
## [302,] -0.0492280625
## [303,] -0.0158548536
## [304,] -0.0158548536
## [305,] -0.1783511015
## [306,]  0.0047920014
## [307,] -0.0696399979
## [308,] -0.0167884566
## [309,]  0.0661118759
## [310,]  0.0309073896
## [311,] -0.0182070173
## [312,]  0.0038479216
## [313,]  0.0337815847
## [314,] -0.0306675971
## [315,]  0.0251023487
## [316,]  0.0842881561
## [317,]  0.0447509385
## [318,]  0.0500567907
## [319,]  0.0390109015
## [320,] -0.0199686685
## [321,] -0.0334528113
## [322,]  0.0992652933
## [323,]  0.0632569866
## [324,]  0.1155168197
## [325,]  0.0225870148
## [326,]  0.0310768600
## [327,]  0.0025703489
## [328,]  0.0231203756
## [329,]  0.0341510063
## [330,]  0.0021756027
## [331,]  0.0152186340
## [332,]  0.0019499124
## [333,]  0.0560277725
## [334,] -0.0095148809
## [335,] -0.0375061511
## [336,] -0.0462506134
## [337,] -0.0119088323
## [338,] -0.0038981469
## [339,] -0.0183321015
## [340,]  0.0307565795
## [341,]  0.0269535718
## [342,] -0.0033368004
## [343,]  0.0198344897
## [344,] -0.0333331515
## [345,] -0.0469921975
## [346,]  0.0483184175
## [347,]  0.0545593333
## [348,] -0.0374443665
## [349,] -0.0469233359
## [350,] -0.0237699328
## [351,] -0.0371747373
## [352,] -0.0415150875
## [353,] -0.0430412960
## [354,] -0.0366545808
## [355,] -0.0284126300
## [356,] -0.0092977720
## [357,] -0.0101553527
## [358,] -0.0278763864
## [359,]  0.0067249226
## [360,]  0.0372878011
## [361,]  0.0200508662
## [362,]  0.0056920867
## [363,] -0.0478923343
## [364,]  0.0116100203
## [365,]  0.0057534678
## [366,] -0.0224421901
## [367,]  0.0419678203
## [368,]  0.1074850409
## [369,] -0.0242062478
## [370,] -0.1160230796
## [371,] -0.1389691656
## [372,] -0.0169554562
## [373,]  0.0127296797
## [374,] -0.0018427352
## [375,] -0.0339156767
## [376,] -0.0466866934
## [377,] -0.0719519595
## [378,]  0.0180200948
## [379,] -0.0078739699
## [380,]  0.1674960502
## [381,] -0.0685858911
## [382,] -0.0582163591
## [383,] -0.0425312415
## [384,] -0.0850530928
## [385,] -0.0544292956
## [386,] -0.0156613623
## [387,] -0.0793920805
## [388,] -0.0156203887
## [389,] -0.0165866849
## [390,] -0.0260888526
## [391,] -0.0734855308
## [392,] -0.0458931160
## [393,]  0.0067524921
## [394,]  0.0432497613
## [395,]  0.0378510039
## [396,]  0.0251354023
## [397,] -0.0800850562
## [398,] -0.0268496254
## [399,] -0.0060902028
## [400,] -0.1466127888
## [401,] -0.1460197500
## [402,] -0.0564767970
## [403,] -0.0743931174
## [404,] -0.0422752128
## [405,]  0.0426563613
## [406,] -0.0083087590
## [407,] -0.0733961562
## [408,]  0.0064121187
## [409,]  0.0180582234
## [410,] -0.0231921793
## [411,]  0.0200330701
## [412,] -0.0573363225
## [413,] -0.0495406121
## [414,] -0.0632851066
## [415,] -0.0951107772
## [416,] -0.0215216089
## [417,] -0.0842815133
## [418,]  0.0363179653
## [419,] -0.0736583906
## [420,] -0.0300089111
## [421,] -0.0780462970
## [422,] -0.0311145442
## [423,] -0.0574317400
## [424,] -0.0447492140
## [425,] -0.0664682547
## [426,] -0.0256106972
## [427,] -0.0640532517
## [428,] -0.0233194631
## [429,] -0.0552411815
## [430,] -0.0690133562
## [431,] -0.0082758094
## [432,] -0.0243917352
## [433,] -0.1058369553
## [434,] -0.1132406136
## [435,] -0.0044321849
## [436,] -0.0688888617
## [437,] -0.0469647889
## [438,] -0.0561290420
## [439,] -0.0805602105
## [440,]  0.0251176578
## [441,] -0.0100980270
## [442,] -0.0151676882
## [443,] -0.0389153266
## [444,] -0.1513353307
## [445,]  0.0143757154
## [446,] -0.1978329915
## [447,] -0.1010603070
## [448,]  0.0359186755
## [449,] -0.0381679984
## [450,] -0.1203400661
## [451,] -0.0939406559
## [452,] -0.0804217201
## [453,] -0.0924380845
## [454,]  0.0044082235
## [455,] -0.0021270856
## [456,]  0.0069479206
## [457,]  0.0014022420
## [458,] -0.0166166320
## [459,] -0.1277912720
## [460,] -0.1467776049
## [461,] -0.0850613940
## [462,] -0.1280325575
## [463,] -0.0990052906
## [464,] -0.0484837799
## [465,] -0.0222997175
## [466,]  0.1349503394
## [467,]  0.0110923609
## [468,]  0.0331276036
## [469,]  0.0699116501
## [470,] -0.0404342064
## [471,] -0.0027103635
## [472,] -0.0238969965
## [473,] -0.1524904796
## [474,] -0.1440145241
## [475,] -0.0671201482
## [476,] -0.1175141065
## [477,] -0.0280523255
## [478,] -0.1158030355
## [479,] -0.2035199142
## [480,] -0.1325594827
## [481,] -0.1135154079
## [482,] -0.0795265362
## [483,] -0.0759804788
## [484,] -0.1387211739
## [485,] -0.0889430968
## [486,] -0.0602478917
## [487,] -0.1125662219
## [488,] -0.0611988053
## [489,] -0.1807266591
## [490,] -0.0512885051
## [491,] -0.0832829219
## [492,] -0.0897295388
## [493,] -0.0612662279
## [494,] -0.0443042881
## [495,] -0.1231784673
## [496,] -0.0480457150
## [497,] -0.0829916836
## [498,] -0.0650424511
## [499,] -0.0987763769
## [500,]  6.1764707830
## [501,]  0.6283147105
## [502,]  0.6342186242
## [503,]  0.2491698156
## [504,] -0.0660685709
## [505,] -0.0714524735
## [506,] -0.0013234466
## [507,] -0.1642913568
## [508,] -0.0509489243
## [509,] -0.0465545469
## [510,]  1.2006143867
## [511,] -0.1025852270
## [512,] -0.0660663520
## [513,] -0.0283280239
## [514,] -0.1449499276
## [515,] -0.1864967237
## [516,] -0.0663584886
## [517,]  0.0874565639
pca$sdev^2#varianza
##  [1] 6.353907e+04 4.054369e+03 2.121816e+03 2.728532e+02 3.008339e+01
##  [6] 1.463921e+01 9.900818e+00 5.732704e+00 2.756244e+00 9.516251e-01
## [11] 8.353983e-02

#Se observan los datos que contiene cada componente

#pca$rotation contiene los coeficiente de las componentes en función de las variables originales

#pca$x contiene los coeficiente de las componentes en función de las observaciones originales

#pca$sdev^2 contiene los coeficiente de las componentes en función de las varianzas

Gráfica de los coeficientes de las componentes y variables originales

#Variables sobre las componentes

plot(pca$rotation[,1],pca$rotation[,2], main = "Variables sobre las componentes",xlab = "Componente 1", ylab = "Componente 2", col="blue",pch=19,xlim = c(-0.5, 1.5),ylim = c(-0.5, 1.5))
text(pca$rotation[,1], pca$rotation[,2],
     labels = row.names(pca$rotation),cex = 1, pos = 3, col = "red")

#Si los ángulos entre esas dos puntos,desde el origen , es cercano a cero significa que existe una relación directa.

De las 11 Variables, 8 tienen relacion directa con “DMC”

#Observaciones sobre las componentes

plot(pca$x[,1],pca$x[,2], main = "Observaciones sobre las componentes",xlab = "Componente 1", ylab = "Componente 2", col="blue",pch=19, xlim = c(-150,150))
# Asignamos las etiquetas
text(pca$x[,1], pca$x[,2],
     labels = row.names(pca$x),cex = 0.6, pos = 2, col = "red")

#De las 90 observaciones, la mayorìa se encuentra agrupada en el componente 1

Biplot

biplot(x = pca, scale = 0, cex = 0.6, col = c("blue4", "brown3"))
## Warning in arrows(0, 0, y[, 1L] * 0.8, y[, 2L] * 0.8, col = col[2L], length =
## arrow.len): zero-length arrow is of indeterminate angle and so skipped

Gráfico de la varianza explicada por cada componente

#elevamos las desviaciones para obtener las varianzas #dividimos para la suma total de varianza

var=pca$sdev^2 
prop=var/sum(var) 

#GRAFICA

barp=barplot(prop,col = "deepskyblue4")
 text(barp, c(0.2,0.2,0.2,0.2), labels = round(prop,3))

# La primera componente explica el PCA en un 90% de la varianza total de las variables originales

CONSLUSION

#Existen variables que estan relacionadas entre sì, por lo que se avizora multicolinealidad. Asì mismo vale la pena conservar los datos del componente 1 ya que conservan mayir varianza lo que Facilita examinar la distribución de los datos y cómo se agrupan.