Practica modelo de regresiĆ³n lineal
Marcela Montoya
2025-03-12
Ejercicio 1, carga de datos
library(dplyr)## Warning: package 'dplyr' was built under R version 4.4.3##
## Adjuntando el paquete: 'dplyr'## The following objects are masked from 'package:stats':
##
## filter, lag## The following objects are masked from 'package:base':
##
## intersect, setdiff, setequal, unionlibrary(readr)## Warning: package 'readr' was built under R version 4.4.3ejemplo_regresion <- read_csv("C:/Users/HP/Downloads/ejemplo_regresion.csv")## Rows: 25 Columns: 3## āā Column specification āāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāāā
## Delimiter: ","
## dbl (3): X1, X2, Y
##
## ā¹ Use `spec()` to retrieve the full column specification for this data.
## ā¹ Specify the column types or set `show_col_types = FALSE` to quiet this message.head(ejemplo_regresion, n = 6)## # A tibble: 6 Ć 3
## X1 X2 Y
## <dbl> <dbl> <dbl>
## 1 3.92 7298 0.75
## 2 3.61 6855 0.71
## 3 3.32 6636 0.66
## 4 3.07 6506 0.61
## 5 3.06 6450 0.7
## 6 3.11 6402 0.72Ejericico 1.Correr los datos
library(stargazer)##
## Please cite as:## Hlavac, Marek (2022). stargazer: Well-Formatted Regression and Summary Statistics Tables.## R package version 5.2.3. https://CRAN.R-project.org/package=stargazeroptions(scipen = 999999)
modelo_lineal <- lm(formula = Y ~ X1 + X2, data = ejemplo_regresion)
summary(modelo_lineal)##
## Call:
## lm(formula = Y ~ X1 + X2, data = ejemplo_regresion)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.085090 -0.039102 -0.003341 0.030236 0.105692
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.56449677 0.07939598 19.705 0.00000000000000182 ***
## X1 0.23719747 0.05555937 4.269 0.000313 ***
## X2 -0.00024908 0.00003205 -7.772 0.00000009508790794 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.0533 on 22 degrees of freedom
## Multiple R-squared: 0.8653, Adjusted R-squared: 0.8531
## F-statistic: 70.66 on 2 and 22 DF, p-value: 0.000000000265stargazer(modelo_lineal, title = "Modelo de regresiĆ³n Multiple", type = "text", digits = 6)##
## Modelo de regresiĆ³n Multiple
## ===============================================
## Dependent variable:
## ---------------------------
## Y
## -----------------------------------------------
## X1 0.237197***
## (0.055559)
##
## X2 -0.000249***
## (0.000032)
##
## Constant 1.564497***
## (0.079396)
##
## -----------------------------------------------
## Observations 25
## R2 0.865296
## Adjusted R2 0.853050
## Residual Std. Error 0.053302 (df = 22)
## F Statistic 70.660570*** (df = 2; 22)
## ===============================================
## Note: *p<0.1; **p<0.05; ***p<0.01Ejercicio 1. Vector de coeficientes estimados
options(scipen = 999)
modelo_lineal$coefficients## (Intercept) X1 X2
## 1.5644967711 0.2371974748 -0.0002490793Ejercicio 1. MAtriz Varianza
var_covar <- vcov(modelo_lineal)
print(var_covar)## (Intercept) X1 X2
## (Intercept) 0.0063037218732 0.000240996434 -0.000000982806321
## X1 0.0002409964344 0.003086843196 -0.000001675537651
## X2 -0.0000009828063 -0.000001675538 0.000000001027106Intervalos de confianza
confint(object = modelo_lineal, level = .95)## 2.5 % 97.5 %
## (Intercept) 1.3998395835 1.7291539588
## X1 0.1219744012 0.3524205485
## X2 -0.0003155438 -0.0001826148#Ejericico 1. Valores Ajustados
plot(modelo_lineal$fitted.values, main = "Valores Ajustados", ylab = "Y", xlab = "casos")
# Ejercicio 1
modelo_lineal$fitted.values %>% as.matrix()## [,1]
## 1 0.6765303
## 2 0.7133412
## 3 0.6991023
## 4 0.6721832
## 5 0.6837597
## 6 0.7075753
## 7 0.7397638
## 8 0.7585979
## 9 0.7943078
## 10 0.7935605
## 11 0.7984347
## 12 0.8272778
## 13 0.8021665
## 14 0.7992462
## 15 0.7544349
## 16 0.7339716
## 17 0.7048866
## 18 0.6930338
## 19 0.6350898
## 20 0.6127185
## 21 0.5701215
## 22 0.4796371
## 23 0.4374811
## 24 0.3953981
## 25 0.3773799Ejericico 1 Residuos del Modelo
plot(modelo_lineal$residuals, main = "Residuos",ylab = "Residuos",xlab= "casos")
modelo_lineal$residuals %>% matrix()## [,1]
## [1,] 0.073469743
## [2,] -0.003341163
## [3,] -0.039102258
## [4,] -0.062183196
## [5,] 0.016240338
## [6,] 0.012424659
## [7,] 0.030236216
## [8,] -0.018597878
## [9,] 0.105692240
## [10,] 0.026439478
## [11,] -0.048434733
## [12,] -0.057277771
## [13,] -0.022166535
## [14,] 0.040753758
## [15,] 0.035565142
## [16,] -0.033971640
## [17,] -0.024886579
## [18,] 0.026966239
## [19,] -0.085089833
## [20,] 0.017281530
## [21,] -0.010121525
## [22,] -0.069637086
## [23,] 0.072518915
## [24,] 0.074601871
## [25,] -0.057379932Ejercicio #2
Carga de datos
library(readr)
ejemplo_regresion <- read_csv("C:/Users/HP/Downloads/ejemplo_regresion.csv")
head(ejemplo_regresion,n = 5)## # A tibble: 5 Ć 3
## X1 X2 Y
## <dbl> <dbl> <dbl>
## 1 3.92 7298 0.75
## 2 3.61 6855 0.71
## 3 3.32 6636 0.66
## 4 3.07 6506 0.61
## 5 3.06 6450 0.72. Carga de datos de un archivo de excel
library(readxl)
ejemplo_regresion <- read_excel("C:/Users/HP/Downloads/ejemplo_regresion.xlsx")
head(ejemplo_regresion,n = 6)## # A tibble: 6 Ć 3
## X1 X2 Y
## <chr> <dbl> <chr>
## 1 3.92 7298 0.75
## 2 3.61 6855 0.71
## 3 3.32 6636 0.66
## 4 45841.0 6506 0.61
## 5 45811.0 6450 0.7
## 6 45964.0 6402 0.72Correr el modelo
library(stargazer)
Modelo_clase <- lm(formula = Y~X1+X2,data = ejemplo_regresion)
# Usando summary
summary(Modelo_clase)##
## Call:
## lm(formula = Y ~ X1 + X2, data = ejemplo_regresion)
##
## Residuals:
## 1 2
## 0.00000000000000000357911 -0.00000000000000000052391
## 3 4
## -0.00000000000000000004576 -0.00000000000000003828178
## 5 6
## -0.00000000000000000114771 -0.00000000000000000060404
## 7 8
## -0.00000000000000002977566 0.00000000000000000005929
## 9 10
## 0.03984196821544078864763 -0.03984196821544078170874
## 11 12
## -0.00000000000000000020358 -0.00000000000000000015064
## 13 14
## -0.00000000000000000026043 0.00000000000000005138137
## 15 16
## -0.00000000000000002472962 -0.00000000000000000109402
## 17 18
## -0.00010475539408085431624 -0.00000000000000000087718
## 19 20
## 0.00000000000000002536052 0.00000000000000001321745
## 21 22
## 0.00010475539408085084679 -0.00000000000000000196138
## 23 24
## -0.00000000000000000196138 -0.00000000000000000066034
## 25
## 0.00000000000000000584488
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 1.44089760 0.44827677 3.214 0.192
## X13.26 -0.03294993 0.07970820 -0.413 0.750
## X13.32 -0.08176499 0.08185275 -0.999 0.500
## X13.42 0.08815630 0.06901937 1.277 0.423
## X13.45 -0.02073748 0.07968571 -0.260 0.838
## X13.58 0.00010535 0.07968424 0.001 0.999
## X13.61 -0.00869235 0.08663887 -0.100 0.936
## X13.66 0.02875311 0.08064802 0.357 0.782
## X13.78 0.10202778 0.08246396 1.237 0.433
## X13.82 0.07499506 0.08762723 0.856 0.549
## X13.92 0.07797971 0.10280010 0.759 0.587
## X13.97 0.00869983 0.09524229 0.091 0.942
## X14.25 0.07410763 0.11453201 0.647 0.634
## X14.41 -0.05533088 0.13514590 -0.409 0.753
## X14.49 0.04215797 0.14467089 0.291 0.819
## X14.58 -0.11252223 0.18237592 -0.617 0.648
## X14.69 0.01634491 0.19976315 0.082 0.948
## X14.71 -0.00384844 0.21186746 -0.018 0.988
## X14.78 -0.13920416 0.22089223 -0.630 0.642
## X145811.0 -0.06136093 0.07988972 -0.768 0.583
## X145841.0 -0.14546108 0.08026490 -1.812 0.321
## X145842.0 0.01113974 0.12716819 0.088 0.944
## X145964.0 -0.04641795 0.07971958 -0.582 0.664
## X2 -0.00010535 0.00006984 -1.509 0.373
##
## Residual standard error: 0.05635 on 1 degrees of freedom
## Multiple R-squared: 0.9932, Adjusted R-squared: 0.8358
## F-statistic: 6.311 on 23 and 1 DF, p-value: 0.3057library(stargazer)
Modelo_clase <-lm(formula = Y~X1+X2,data = ejemplo_regresion)
# Usando Stargazer
stargazer(Modelo_clase, litle="Modelo de regresion", type = "text", digits = 6)##
## ===============================================
## Dependent variable:
## ---------------------------
## Y
## -----------------------------------------------
## X13.26 -0.032950
## (0.079708)
##
## X13.32 -0.081765
## (0.081853)
##
## X13.42 0.088156
## (0.069019)
##
## X13.45 -0.020737
## (0.079686)
##
## X13.58 0.000105
## (0.079684)
##
## X13.61 -0.008692
## (0.086639)
##
## X13.66 0.028753
## (0.080648)
##
## X13.78 0.102028
## (0.082464)
##
## X13.82 0.074995
## (0.087627)
##
## X13.92 0.077980
## (0.102800)
##
## X13.97 0.008700
## (0.095242)
##
## X14.25 0.074108
## (0.114532)
##
## X14.41 -0.055331
## (0.135146)
##
## X14.49 0.042158
## (0.144671)
##
## X14.58 -0.112522
## (0.182376)
##
## X14.69 0.016345
## (0.199763)
##
## X14.71 -0.003848
## (0.211867)
##
## X14.78 -0.139204
## (0.220892)
##
## X145811.0 -0.061361
## (0.079890)
##
## X145841.0 -0.145461
## (0.080265)
##
## X145842.0 0.011140
## (0.127168)
##
## X145964.0 -0.046418
## (0.079720)
##
## X2 -0.000105
## (0.000070)
##
## Constant 1.440898
## (0.448277)
##
## -----------------------------------------------
## Observations 25
## R2 0.993158
## Adjusted R2 0.835793
## Residual Std. Error 0.056345 (df = 1)
## F Statistic 6.311156 (df = 23; 1)
## ===============================================
## Note: *p<0.1; **p<0.05; ***p<0.01
##
## ===================
## Modelo de regresion
## -------------------Matrices A, P & M
mat_x <-model.matrix(Modelo_clase)
# Matriz X"X
mat_xx <-t(mat_x)%*%mat_x
print(mat_xx)## (Intercept) X13.26 X13.32 X13.42 X13.45 X13.58 X13.61 X13.66 X13.78
## (Intercept) 25 1 1 2 1 1 1 1 1
## X13.26 1 1 0 0 0 0 0 0 0
## X13.32 1 0 1 0 0 0 0 0 0
## X13.42 2 0 0 2 0 0 0 0 0
## X13.45 1 0 0 0 1 0 0 0 0
## X13.58 1 0 0 0 0 1 0 0 0
## X13.61 1 0 0 0 0 0 1 0 0
## X13.66 1 0 0 0 0 0 0 1 0
## X13.78 1 0 0 0 0 0 0 0 1
## X13.82 1 0 0 0 0 0 0 0 0
## X13.92 1 0 0 0 0 0 0 0 0
## X13.97 1 0 0 0 0 0 0 0 0
## X14.25 1 0 0 0 0 0 0 0 0
## X14.41 1 0 0 0 0 0 0 0 0
## X14.49 1 0 0 0 0 0 0 0 0
## X14.58 1 0 0 0 0 0 0 0 0
## X14.69 1 0 0 0 0 0 0 0 0
## X14.71 1 0 0 0 0 0 0 0 0
## X14.78 1 0 0 0 0 0 0 0 0
## X145811.0 1 0 0 0 0 0 0 0 0
## X145841.0 1 0 0 0 0 0 0 0 0
## X145842.0 2 0 0 0 0 0 0 0 0
## X145964.0 1 0 0 0 0 0 0 0 0
## X2 181083 6340 6636 12701 6361 6369 6855 6546 6672
## X13.82 X13.92 X13.97 X14.25 X14.41 X14.49 X14.58 X14.69 X14.71
## (Intercept) 1 1 1 1 1 1 1 1 1
## X13.26 0 0 0 0 0 0 0 0 0
## X13.32 0 0 0 0 0 0 0 0 0
## X13.42 0 0 0 0 0 0 0 0 0
## X13.45 0 0 0 0 0 0 0 0 0
## X13.58 0 0 0 0 0 0 0 0 0
## X13.61 0 0 0 0 0 0 0 0 0
## X13.66 0 0 0 0 0 0 0 0 0
## X13.78 0 0 0 0 0 0 0 0 0
## X13.82 1 0 0 0 0 0 0 0 0
## X13.92 0 1 0 0 0 0 0 0 0
## X13.97 0 0 1 0 0 0 0 0 0
## X14.25 0 0 0 1 0 0 0 0 0
## X14.41 0 0 0 0 1 0 0 0 0
## X14.49 0 0 0 0 0 1 0 0 0
## X14.58 0 0 0 0 0 0 1 0 0
## X14.69 0 0 0 0 0 0 0 1 0
## X14.71 0 0 0 0 0 0 0 0 1
## X14.78 0 0 0 0 0 0 0 0 0
## X145811.0 0 0 0 0 0 0 0 0 0
## X145841.0 0 0 0 0 0 0 0 0 0
## X145842.0 0 0 0 0 0 0 0 0 0
## X145964.0 0 0 0 0 0 0 0 0 0
## X2 6890 7298 7115 7546 7931 8097 8717 8991 9179
## X14.78 X145811.0 X145841.0 X145842.0 X145964.0 X2
## (Intercept) 1 1 1 2 1 181083
## X13.26 0 0 0 0 0 6340
## X13.32 0 0 0 0 0 6636
## X13.42 0 0 0 0 0 12701
## X13.45 0 0 0 0 0 6361
## X13.58 0 0 0 0 0 6369
## X13.61 0 0 0 0 0 6855
## X13.66 0 0 0 0 0 6546
## X13.78 0 0 0 0 0 6672
## X13.82 0 0 0 0 0 6890
## X13.92 0 0 0 0 0 7298
## X13.97 0 0 0 0 0 7115
## X14.25 0 0 0 0 0 7546
## X14.41 0 0 0 0 0 7931
## X14.49 0 0 0 0 0 8097
## X14.58 0 0 0 0 0 8717
## X14.69 0 0 0 0 0 8991
## X14.71 0 0 0 0 0 9179
## X14.78 1 0 0 0 0 9318
## X145811.0 0 1 0 0 0 6450
## X145841.0 0 0 1 0 0 6506
## X145842.0 0 0 0 2 0 15795
## X145964.0 0 0 0 0 1 6402
## X2 9318 6450 6506 15795 6402 1335796275# Matriz A
solve(mat_xx)%*% t(mat_x) ->mat_A
print(mat_A)## 1 2
## (Intercept) -0.000000000000014210854715 -0.000000000000014210854715
## X13.26 0.000000000000001998401444 0.000000000000000888178420
## X13.32 -0.000000000000000444089210 -0.000000000000001776356839
## X13.42 0.000000000000002026157020 0.000000000000000915933995
## X13.45 0.000000000000000777156117 -0.000000000000000485722573
## X13.58 0.000000000000000026020852 -0.000000000000001177877240
## X13.61 0.000000000000000888178420 1.000000000000000000000000
## X13.66 0.000000000000002886579864 0.000000000000001554312234
## X13.78 -0.000000000000002664535259 -0.000000000000003996802889
## X13.82 0.000000000000000000000000 -0.000000000000000888178420
## X13.92 1.000000000000000000000000 -0.000000000000001776356839
## X13.97 0.000000000000000000000000 -0.000000000000000888178420
## X14.25 -0.000000000000001776356839 -0.000000000000003552713679
## X14.41 -0.000000000000003552713679 -0.000000000000003552713679
## X14.49 -0.000000000000003552713679 -0.000000000000007105427358
## X14.58 -0.000000000000003552713679 -0.000000000000007105427358
## X14.69 -0.000000000000003552713679 -0.000000000000007105427358
## X14.71 0.000000000000003552713679 0.000000000000000000000000
## X14.78 0.000000000000000000000000 -0.000000000000003552713679
## X145811.0 0.000000000000000333066907 -0.000000000000000555111512
## X145841.0 0.000000000000000444089210 -0.000000000000000888178420
## X145842.0 0.000000000000000000000000 -0.000000000000007105427358
## X145964.0 0.000000000000000499600361 -0.000000000000000610622664
## X2 0.000000000000000001734723 0.000000000000000001734723
## 3 4
## (Intercept) 0.0000000000000000000000 -0.000000000000007105427358
## X13.26 0.0000000000000013322676 0.000000000000001332267630
## X13.32 0.9999999999999991118216 -0.000000000000000888178420
## X13.42 0.0000000000000012212453 0.000000000000001221245327
## X13.45 -0.0000000000000001110223 0.000000000000000013877788
## X13.58 -0.0000000000000009159340 -0.000000000000000933281230
## X13.61 0.0000000000000000000000 0.000000000000000000000000
## X13.66 0.0000000000000019984014 0.000000000000001776356839
## X13.78 -0.0000000000000035527137 -0.000000000000003108624469
## X13.82 0.0000000000000000000000 0.000000000000000000000000
## X13.92 -0.0000000000000017763568 0.000000000000000000000000
## X13.97 0.0000000000000008881784 0.000000000000000000000000
## X14.25 -0.0000000000000035527137 -0.000000000000001776356839
## X14.41 -0.0000000000000035527137 -0.000000000000003552713679
## X14.49 -0.0000000000000035527137 -0.000000000000007105427358
## X14.58 0.0000000000000000000000 -0.000000000000003552713679
## X14.69 -0.0000000000000035527137 -0.000000000000003552713679
## X14.71 0.0000000000000035527137 0.000000000000000000000000
## X14.78 -0.0000000000000035527137 0.000000000000000000000000
## X145811.0 -0.0000000000000005551115 -0.000000000000000222044605
## X145841.0 -0.0000000000000002220446 0.999999999999999777955395
## X145842.0 -0.0000000000000017763568 -0.000000000000001776356839
## X145964.0 -0.0000000000000004440892 -0.000000000000000166533454
## X2 0.0000000000000000000000 0.000000000000000001734723
## 5 6
## (Intercept) 0.000000000000000000000000 -0.000000000000014210854715
## X13.26 0.000000000000001498801083 0.000000000000001554312234
## X13.32 -0.000000000000001332267630 -0.000000000000001332267630
## X13.42 0.000000000000001526556659 0.000000000000001193489751
## X13.45 0.000000000000000235922393 0.000000000000000041633363
## X13.58 -0.000000000000000855218674 -0.000000000000000947159018
## X13.61 0.000000000000000000000000 -0.000000000000000888178420
## X13.66 0.000000000000001998401444 0.000000000000001554312234
## X13.78 -0.000000000000003108624469 -0.000000000000003552713679
## X13.82 0.000000000000000000000000 0.000000000000000000000000
## X13.92 0.000000000000000000000000 -0.000000000000001776356839
## X13.97 0.000000000000000000000000 -0.000000000000000888178420
## X14.25 -0.000000000000001776356839 -0.000000000000003552713679
## X14.41 -0.000000000000003552713679 -0.000000000000005329070518
## X14.49 -0.000000000000003552713679 -0.000000000000007105427358
## X14.58 -0.000000000000003552713679 -0.000000000000003552713679
## X14.69 -0.000000000000003552713679 -0.000000000000007105427358
## X14.71 0.000000000000003552713679 0.000000000000000000000000
## X14.78 0.000000000000000000000000 -0.000000000000003552713679
## X145811.0 1.000000000000000000000000 -0.000000000000000222044605
## X145841.0 0.000000000000000000000000 -0.000000000000000222044605
## X145842.0 -0.000000000000003552713679 -0.000000000000005329070518
## X145964.0 0.000000000000000055511151 1.000000000000000000000000
## X2 0.000000000000000001734723 0.000000000000000003469447
## 7 8
## (Intercept) 1.000000000000028421709430 -0.000000000000007105427358
## X13.26 -0.999999999999999333866185 1.000000000000001332267630
## X13.32 -1.000000000000000444089210 -0.000000000000001776356839
## X13.42 -0.999999999999999444888488 0.000000000000001137978600
## X13.45 -1.000000000000000444089210 -0.000000000000000097144515
## X13.58 -1.000000000000001776356839 -0.000000000000001073793832
## X13.61 -0.999999999999998667732370 -0.000000000000000888178420
## X13.66 -0.999999999999998001598556 0.000000000000001332267630
## X13.78 -1.000000000000002442490654 -0.000000000000003552713679
## X13.82 -0.999999999999998223643161 -0.000000000000000888178420
## X13.92 -0.999999999999996447286321 -0.000000000000001776356839
## X13.97 -0.999999999999997335464741 -0.000000000000000888178420
## X14.25 -0.999999999999996447286321 -0.000000000000003552713679
## X14.41 -0.999999999999996447286321 -0.000000000000005329070518
## X14.49 -0.999999999999996447286321 -0.000000000000007105427358
## X14.58 -0.999999999999992894572642 -0.000000000000007105427358
## X14.69 -0.999999999999989341858964 -0.000000000000003552713679
## X14.71 -0.999999999999985789145285 0.000000000000000000000000
## X14.78 -0.999999999999985789145285 -0.000000000000003552713679
## X145811.0 -1.000000000000000444089210 -0.000000000000000444089210
## X145841.0 -1.000000000000000444089210 -0.000000000000000666133815
## X145842.0 -0.999999999999996447286321 -0.000000000000003552713679
## X145964.0 -1.000000000000000888178420 -0.000000000000000444089210
## X2 -0.000000000000000003469447 0.000000000000000001734723
## 9 10 11
## (Intercept) 0.014674050803 -0.014674050803 -0.000000000000007105427358
## X13.26 -0.000064521580 0.000064521580 0.000000000000000888178420
## X13.32 0.000617563696 -0.000617563696 -0.000000000000001332267630
## X13.42 0.499959674012 0.500040325988 0.000000000000000749400542
## X13.45 -0.000016130395 0.000016130395 0.999999999999999222843883
## X13.58 0.000002304342 -0.000002304342 -0.000000000000001464106614
## X13.61 0.001122214626 -0.001122214626 -0.000000000000000888178420
## X13.66 0.000410172902 -0.000410172902 0.000000000000001332267630
## X13.78 0.000700520013 -0.000700520013 -0.000000000000003552713679
## X13.82 0.001202866602 -0.001202866602 -0.000000000000000888178420
## X13.92 0.002143038198 -0.002143038198 -0.000000000000001776356839
## X13.97 0.001721343585 -0.001721343585 0.000000000000000000000000
## X14.25 0.002714515051 -0.002714515051 -0.000000000000001776356839
## X14.41 0.003601686778 -0.003601686778 -0.000000000000005329070518
## X14.49 0.003984207575 -0.003984207575 -0.000000000000007105427358
## X14.58 0.005412899707 -0.005412899707 -0.000000000000003552713679
## X14.69 0.006044289456 -0.006044289456 -0.000000000000003552713679
## X14.71 0.006477505780 -0.006477505780 0.000000000000003552713679
## X14.78 0.006797809339 -0.006797809339 0.000000000000000000000000
## X145811.0 0.000188956056 -0.000188956056 -0.000000000000000666133815
## X145841.0 0.000317999217 -0.000317999217 -0.000000000000000888178420
## X145842.0 0.003524491316 -0.003524491316 -0.000000000000003552713679
## X145964.0 0.000078347633 -0.000078347633 -0.000000000000000610622664
## X2 -0.000002304342 0.000002304342 0.000000000000000001734723
## 12 13
## (Intercept) -0.000000000000007105427358 -0.000000000000014210854715
## X13.26 0.000000000000001332267630 0.000000000000001332267630
## X13.32 -0.000000000000001776356839 -0.000000000000001776356839
## X13.42 0.000000000000001082467449 0.000000000000001137978600
## X13.45 -0.000000000000000055511151 -0.000000000000000249800181
## X13.58 0.999999999999999000799278 -0.000000000000001115427195
## X13.61 0.000000000000000000000000 -0.000000000000000888178420
## X13.66 0.000000000000001554312234 1.000000000000001554312234
## X13.78 -0.000000000000003996802889 -0.000000000000003552713679
## X13.82 -0.000000000000000888178420 -0.000000000000000888178420
## X13.92 -0.000000000000001776356839 -0.000000000000001776356839
## X13.97 0.000000000000000000000000 -0.000000000000000888178420
## X14.25 -0.000000000000003552713679 -0.000000000000003552713679
## X14.41 -0.000000000000005329070518 -0.000000000000005329070518
## X14.49 -0.000000000000007105427358 -0.000000000000003552713679
## X14.58 -0.000000000000007105427358 -0.000000000000007105427358
## X14.69 -0.000000000000003552713679 -0.000000000000003552713679
## X14.71 -0.000000000000003552713679 -0.000000000000003552713679
## X14.78 -0.000000000000003552713679 -0.000000000000003552713679
## X145811.0 -0.000000000000000222044605 -0.000000000000000444089210
## X145841.0 -0.000000000000000444089210 -0.000000000000000666133815
## X145842.0 -0.000000000000003552713679 -0.000000000000005329070518
## X145964.0 -0.000000000000000333066907 -0.000000000000000111022302
## X2 0.000000000000000003469447 0.000000000000000001734723
## 14 15
## (Intercept) 0.000000000000000000000000 0.0000000000000000000000
## X13.26 0.000000000000001221245327 0.0000000000000017763568
## X13.32 -0.000000000000001332267630 -0.0000000000000008881784
## X13.42 0.000000000000001193489751 0.0000000000000014432899
## X13.45 -0.000000000000000111022302 0.0000000000000002636780
## X13.58 -0.000000000000000791033905 -0.0000000000000008656270
## X13.61 0.000000000000000000000000 0.0000000000000000000000
## X13.66 0.000000000000001776356839 0.0000000000000019984014
## X13.78 0.999999999999996891375531 -0.0000000000000031086245
## X13.82 -0.000000000000000888178420 0.9999999999999991118216
## X13.92 0.000000000000000000000000 0.0000000000000000000000
## X13.97 -0.000000000000000888178420 0.0000000000000000000000
## X14.25 -0.000000000000003552713679 -0.0000000000000017763568
## X14.41 -0.000000000000007105427358 -0.0000000000000035527137
## X14.49 -0.000000000000007105427358 -0.0000000000000035527137
## X14.58 -0.000000000000003552713679 0.0000000000000000000000
## X14.69 -0.000000000000003552713679 0.0000000000000000000000
## X14.71 0.000000000000000000000000 0.0000000000000035527137
## X14.78 0.000000000000000000000000 0.0000000000000000000000
## X145811.0 -0.000000000000000333066907 -0.0000000000000001110223
## X145841.0 -0.000000000000000222044605 -0.0000000000000002220446
## X145842.0 -0.000000000000003552713679 0.0000000000000000000000
## X145964.0 -0.000000000000000277555756 0.0000000000000000000000
## X2 0.000000000000000001734723 0.0000000000000000000000
## 16 17
## (Intercept) 0.000000000000000000000000 5.5810306554
## X13.26 0.000000000000001110223025 -0.0245397077
## X13.32 -0.000000000000001332267630 0.2348800590
## X13.42 0.000000000000000943689571 -0.0153373173
## X13.45 0.000000000000000041633363 -0.0061349269
## X13.58 -0.000000000000001143182771 0.0008764181
## X13.61 -0.000000000000000888178420 0.4268156296
## X13.66 0.000000000000001998401444 0.1560024272
## X13.78 -0.000000000000003552713679 0.2664311117
## X13.82 0.000000000000000000000000 0.4574902642
## X13.92 0.000000000000000000000000 0.8150688614
## X13.97 1.000000000000000000000000 0.6546843435
## X14.25 -0.000000000000001776356839 1.0324205578
## X14.41 -0.000000000000003552713679 1.3698415381
## X14.49 -0.000000000000007105427358 1.5153269477
## X14.58 -0.000000000000003552713679 2.0587061887
## X14.69 -0.000000000000007105427358 2.2988447565
## X14.71 0.000000000000000000000000 2.4636113650
## X14.78 0.000000000000000000000000 2.5854334852
## X145811.0 -0.000000000000000111022302 0.0718662867
## X145841.0 -0.000000000000000444089210 0.1209457020
## X145842.0 -0.000000000000003552713679 1.8404815307
## X145964.0 -0.000000000000000277555756 0.0297982164
## X2 0.000000000000000001734723 -0.0008764181
## 18 19
## (Intercept) 0.000000000000000000000000 -0.000000000000014210854715
## X13.26 0.000000000000000444089210 0.000000000000001998401444
## X13.32 -0.000000000000001776356839 -0.000000000000000444089210
## X13.42 0.000000000000000416333634 0.000000000000002192690474
## X13.45 -0.000000000000000985322934 0.000000000000001193489751
## X13.58 -0.000000000000001460637167 0.000000000000000416333634
## X13.61 -0.000000000000001776356839 0.000000000000000000000000
## X13.66 0.000000000000000888178420 0.000000000000002664535259
## X13.78 -0.000000000000003996802889 -0.000000000000002664535259
## X13.82 -0.000000000000000888178420 0.000000000000000000000000
## X13.92 0.000000000000000000000000 0.000000000000000000000000
## X13.97 -0.000000000000001776356839 0.000000000000001776356839
## X14.25 0.999999999999998223643161 -0.000000000000001776356839
## X14.41 -0.000000000000007105427358 0.999999999999996447286321
## X14.49 -0.000000000000007105427358 -0.000000000000007105427358
## X14.58 -0.000000000000003552713679 0.000000000000000000000000
## X14.69 -0.000000000000003552713679 -0.000000000000003552713679
## X14.71 0.000000000000000000000000 0.000000000000000000000000
## X14.78 0.000000000000000000000000 -0.000000000000007105427358
## X145811.0 -0.000000000000000888178420 0.000000000000000333066907
## X145841.0 -0.000000000000001110223025 -0.000000000000000444089210
## X145842.0 -0.000000000000003552713679 -0.000000000000003552713679
## X145964.0 -0.000000000000000555111512 0.000000000000000111022302
## X2 0.000000000000000001734723 0.000000000000000001734723
## 20 21
## (Intercept) -0.000000000000014210854715 -5.5810306554
## X13.26 0.000000000000002609024108 0.0245397077
## X13.32 -0.000000000000000888178420 -0.2348800590
## X13.42 0.000000000000002137179322 0.0153373173
## X13.45 0.000000000000000305311332 0.0061349269
## X13.58 0.000000000000000336536354 -0.0008764181
## X13.61 0.000000000000001776356839 -0.4268156296
## X13.66 0.000000000000003108624469 -0.1560024272
## X13.78 -0.000000000000002664535259 -0.2664311117
## X13.82 0.000000000000000000000000 -0.4574902642
## X13.92 -0.000000000000001776356839 -0.8150688614
## X13.97 0.000000000000001776356839 -0.6546843435
## X14.25 -0.000000000000001776356839 -1.0324205578
## X14.41 -0.000000000000003552713679 -1.3698415381
## X14.49 0.999999999999992894572642 -1.5153269477
## X14.58 -0.000000000000003552713679 -2.0587061887
## X14.69 0.000000000000000000000000 -2.2988447565
## X14.71 0.000000000000000000000000 -2.4636113650
## X14.78 0.000000000000000000000000 -2.5854334852
## X145811.0 0.000000000000000444089210 -0.0718662867
## X145841.0 0.000000000000000222044605 -0.1209457020
## X145842.0 -0.000000000000003552713679 -0.8404815307
## X145964.0 0.000000000000000055511151 -0.0297982164
## X2 0.000000000000000001734723 0.0008764181
## 22 23
## (Intercept) 0.000000000000000000000000 -0.000000000000014210854715
## X13.26 0.000000000000001054711873 0.000000000000001998401444
## X13.32 -0.000000000000001332267630 -0.000000000000001332267630
## X13.42 0.000000000000000610622664 0.000000000000001998401444
## X13.45 -0.000000000000000069388939 0.000000000000000055511151
## X13.58 0.000000000000000058980598 -0.000000000000000091940344
## X13.61 0.000000000000000888178420 -0.000000000000000888178420
## X13.66 0.000000000000002220446049 0.000000000000002664535259
## X13.78 -0.000000000000001776356839 -0.000000000000002664535259
## X13.82 0.000000000000000000000000 0.000000000000000000000000
## X13.92 0.000000000000000000000000 0.000000000000000000000000
## X13.97 0.000000000000001776356839 0.000000000000000000000000
## X14.25 -0.000000000000003552713679 0.000000000000000000000000
## X14.41 -0.000000000000003552713679 -0.000000000000007105427358
## X14.49 -0.000000000000003552713679 -0.000000000000003552713679
## X14.58 1.000000000000000000000000 -0.000000000000007105427358
## X14.69 0.000000000000000000000000 1.000000000000000000000000
## X14.71 0.000000000000007105427358 0.000000000000000000000000
## X14.78 0.000000000000007105427358 0.000000000000000000000000
## X145811.0 -0.000000000000000444089210 -0.000000000000000444089210
## X145841.0 -0.000000000000000444089210 -0.000000000000000666133815
## X145842.0 -0.000000000000003552713679 -0.000000000000007105427358
## X145964.0 0.000000000000000000000000 0.000000000000000055511151
## X2 0.000000000000000001734723 0.000000000000000001734723
## 24 25
## (Intercept) -0.000000000000028421709430 -0.000000000000014210854715
## X13.26 0.000000000000001665334537 0.000000000000001332267630
## X13.32 -0.000000000000001776356839 -0.000000000000003108624469
## X13.42 0.000000000000001332267630 -0.000000000000000333066907
## X13.45 0.000000000000000124900090 -0.000000000000001276756478
## X13.58 -0.000000000000000971445147 -0.000000000000000869096461
## X13.61 0.000000000000000000000000 -0.000000000000001776356839
## X13.66 0.000000000000001776356839 0.000000000000000888178420
## X13.78 -0.000000000000003552713679 -0.000000000000004440892099
## X13.82 -0.000000000000001776356839 -0.000000000000000888178420
## X13.92 -0.000000000000001776356839 -0.000000000000003552713679
## X13.97 -0.000000000000001776356839 -0.000000000000001776356839
## X14.25 0.000000000000000000000000 -0.000000000000007105427358
## X14.41 -0.000000000000007105427358 -0.000000000000010658141036
## X14.49 -0.000000000000010658141036 -0.000000000000010658141036
## X14.58 -0.000000000000007105427358 -0.000000000000007105427358
## X14.69 -0.000000000000007105427358 -0.000000000000007105427358
## X14.71 1.000000000000000000000000 -0.000000000000007105427358
## X14.78 0.000000000000000000000000 0.999999999999992894572642
## X145811.0 0.000000000000000000000000 -0.000000000000000888178420
## X145841.0 -0.000000000000000444089210 -0.000000000000001110223025
## X145842.0 -0.000000000000003552713679 -0.000000000000007105427358
## X145964.0 0.000000000000000222044605 -0.000000000000000055511151
## X2 0.000000000000000001734723 0.000000000000000003469447# Matriz P
mat_x%*%mat_A ->mat_P
print(mat_P)## 1 2
## 1 0.99999999999999844568777 -0.000000000000003327200
## 2 -0.00000000000000143114687 0.999999999999997668532
## 3 -0.00000000000000314331894 -0.000000000000004475587
## 4 -0.00000000000000248065457 -0.000000000000003812922
## 5 -0.00000000000000268882139 -0.000000000000003577000
## 6 -0.00000000000000260555466 -0.000000000000003715778
## 7 -0.00000000000000316413562 -0.000000000000003164136
## 8 -0.00000000000000121430643 -0.000000000000002324529
## 9 -0.00000000000000117093835 -0.000000000000002281161
## 10 -0.00000000000000116573418 -0.000000000000002275957
## 11 -0.00000000000000239912257 -0.000000000000003662001
## 12 -0.00000000000000313638004 -0.000000000000004340278
## 13 0.00000000000000003122502 -0.000000000000001301043
## 14 -0.00000000000000530131494 -0.000000000000006633583
## 15 -0.00000000000000225860997 -0.000000000000003146788
## 16 -0.00000000000000186829718 -0.000000000000002756476
## 17 -0.00000000000000150053581 -0.000000000000008605963
## 18 -0.00000000000000289698820 -0.000000000000004673345
## 19 -0.00000000000000400547651 -0.000000000000004005477
## 20 -0.00000000000000371751241 -0.000000000000007270226
## 21 0.00000000000000047878368 -0.000000000000006626644
## 22 -0.00000000000000264198385 -0.000000000000006194698
## 23 -0.00000000000000216666962 -0.000000000000005719383
## 24 0.00000000000000526488575 0.000000000000001712172
## 25 0.00000000000000195329863 -0.000000000000001599415
## 3 4 5
## 1 -0.0000000000000017763568 0.0000000000000055545846 0.000000000000012660012
## 2 0.0000000000000000000000 0.0000000000000047861021 0.000000000000011891529
## 3 0.9999999999999991118216 0.0000000000000035180192 0.000000000000010179357
## 4 -0.0000000000000002220446 1.0000000000000039968029 0.000000000000011286111
## 5 -0.0000000000000005551115 0.0000000000000038614945 1.000000000000011102230
## 6 -0.0000000000000004440892 0.0000000000000038337389 0.000000000000011161211
## 7 0.0000000000000000000000 0.0000000000000039412917 0.000000000000011046719
## 8 0.0000000000000013322676 0.0000000000000052249871 0.000000000000012496948
## 9 0.0000000000000012212453 0.0000000000000051295773 0.000000000000012540316
## 10 0.0000000000000012212453 0.0000000000000051347815 0.000000000000012545520
## 11 -0.0000000000000001110223 0.0000000000000039430265 0.000000000000011270498
## 12 -0.0000000000000009159340 0.0000000000000030097452 0.000000000000010193235
## 13 0.0000000000000019984014 0.0000000000000060264294 0.000000000000013353901
## 14 -0.0000000000000035527137 0.0000000000000013600232 0.000000000000008465451
## 15 0.0000000000000000000000 0.0000000000000048468174 0.000000000000011952245
## 16 0.0000000000000008881784 0.0000000000000052371302 0.000000000000012342558
## 17 -0.0000000000000017763568 0.0000000000000038285347 0.000000000000009157605
## 18 -0.0000000000000035527137 0.0000000000000042084392 0.000000000000011313867
## 19 -0.0000000000000035527137 0.0000000000000030999509 0.000000000000010205378
## 20 -0.0000000000000035527137 -0.0000000000000001647987 0.000000000000010493342
## 21 -0.0000000000000017763568 0.0000000000000058078542 0.000000000000011136925
## 22 0.0000000000000000000000 0.0000000000000044634435 0.000000000000011568871
## 23 -0.0000000000000035527137 0.0000000000000049387577 0.000000000000012044185
## 24 0.0000000000000035527137 0.0000000000000088175994 0.000000000000019475740
## 25 -0.0000000000000035527137 0.0000000000000090587260 0.000000000000016164153
## 6 7 8
## 1 0.000000000000009332812 0.000000000000006654399 0.0000000000000037782277
## 2 0.000000000000008684026 0.000000000000005970918 0.0000000000000038979237
## 3 0.000000000000007480128 0.000000000000004954370 0.0000000000000026298408
## 4 0.000000000000008139323 0.000000000000005405398 0.0000000000000035145498
## 5 0.000000000000007945034 0.000000000000005599687 0.0000000000000036394499
## 6 1.000000000000007993606 0.000000000000005322132 0.0000000000000035561831
## 7 0.000000000000007882583 1.000000000000006217249 0.0000000000000039412917
## 8 0.000000000000009339751 0.000000000000007091550 1.0000000000000053290705
## 9 0.000000000000009010154 0.000000000000006949302 0.0000000000000050463106
## 10 0.000000000000009020562 0.000000000000006938894 0.0000000000000050515148
## 11 0.000000000000007899931 0.000000000000005908468 0.0000000000000038320042
## 12 0.000000000000006938894 0.000000000000004548445 0.0000000000000028692326
## 13 0.000000000000010054457 0.000000000000007709111 0.0000000000000055823401
## 14 0.000000000000005384582 0.000000000000002831069 0.0000000000000009159340
## 15 0.000000000000009693635 0.000000000000006293577 0.0000000000000039586390
## 16 0.000000000000009586082 0.000000000000006401130 0.0000000000000043489518
## 17 0.000000000000005880713 0.000000000000006553785 0.0000000000000020521779
## 18 0.000000000000008416878 0.000000000000005793976 0.0000000000000024320823
## 19 0.000000000000007976259 0.000000000000004458239 0.0000000000000013235940
## 20 0.000000000000006775830 0.000000000000003882311 -0.0000000000000001647987
## 21 0.000000000000009839352 0.000000000000002595146 0.0000000000000040314974
## 22 0.000000000000012479601 0.000000000000005283968 0.0000000000000009107298
## 23 0.000000000000009877515 0.000000000000007886053 0.0000000000000049387577
## 24 0.000000000000017635199 0.000000000000010786511 0.0000000000000088175994
## 25 0.000000000000014564738 0.000000000000010304257 0.0000000000000055060123
## 9 10
## 1 0.0000000000000005238865 -0.0000000000000023002433
## 2 0.0000000000000022759572 -0.0000000000000013877788
## 3 0.0000000000000009783840 -0.0000000000000027547409
## 4 0.0000000000000017867652 -0.0000000000000020088098
## 5 0.0000000000000017728874 -0.0000000000000018839097
## 6 0.0000000000000016341095 -0.0000000000000020226876
## 7 0.0000000000000018318680 -0.0000000000000018318680
## 8 0.0000000000000028796410 -0.0000000000000007147061
## 9 0.5000034565132257524667 0.4999965434867759683790
## 10 0.4999965434867795766039 0.5000034565132220887307
## 11 0.0000000000000019550334 -0.0000000000000016913554
## 12 0.0000000000000008847090 -0.0000000000000027564756
## 13 0.0000000000000038268000 0.0000000000000001700029
## 14 -0.0000000000000011379786 -0.0000000000000046351811
## 15 0.0000000000000020088098 -0.0000000000000011206314
## 16 0.0000000000000024355518 -0.0000000000000006591949
## 17 0.0013146271958459770923 -0.0013146271958495298060
## 18 0.0000000000000006487866 -0.0000000000000024251434
## 19 -0.0000000000000005342948 -0.0000000000000047947757
## 20 -0.0000000000000025673907 -0.0000000000000045380366
## 21 -0.0013146271958462754648 0.0013146271958427227511
## 22 0.0000000000000012975732 -0.0000000000000012975732
## 23 -0.0000000000000013183898 -0.0000000000000057870375
## 24 0.0000000000000048502868 0.0000000000000022551405
## 25 0.0000000000000025153490 -0.0000000000000025153490
## 11 12 13
## 1 0.0000000000000037782277 0.00000000000001643824 -0.000000000000003327200
## 2 0.0000000000000038979237 0.00000000000001667763 -0.000000000000003207504
## 3 0.0000000000000030739300 0.00000000000001414147 -0.000000000000004475587
## 4 0.0000000000000032925052 0.00000000000001502271 -0.000000000000003590878
## 5 0.0000000000000034174052 0.00000000000001505046 -0.000000000000003465978
## 6 0.0000000000000033896497 0.00000000000001477291 -0.000000000000003216177
## 7 0.0000000000000039412917 0.00000000000001498801 -0.000000000000003164136
## 8 0.0000000000000047808979 0.00000000000001622313 -0.000000000000001880440
## 9 0.0000000000000046577325 0.00000000000001600456 -0.000000000000002059117
## 10 0.0000000000000046629367 0.00000000000001601497 -0.000000000000002053913
## 11 1.0000000000000031086245 0.00000000000001490821 -0.000000000000003426079
## 12 0.0000000000000024789198 1.00000000000001398881 -0.000000000000004277828
## 13 0.0000000000000055823401 0.00000000000001715988 0.999999999999998667732
## 14 0.0000000000000009159340 0.00000000000001204592 -0.000000000000006189493
## 15 0.0000000000000039586390 0.00000000000001591088 -0.000000000000003146788
## 16 0.0000000000000052371302 0.00000000000001757969 -0.000000000000002756476
## 17 0.0000000000000020521779 0.00000000000001476250 -0.000000000000006829606
## 18 0.0000000000000042084392 0.00000000000001552231 -0.000000000000004673345
## 19 0.0000000000000013235940 0.00000000000001508169 -0.000000000000005781833
## 20 -0.0000000000000001647987 0.00000000000001388126 -0.000000000000003717512
## 21 0.0000000000000040314974 0.00000000000001872114 -0.000000000000004850287
## 22 0.0000000000000044634435 0.00000000000001603231 -0.000000000000006194698
## 23 0.0000000000000049387577 0.00000000000002053566 -0.000000000000002166670
## 24 0.0000000000000123703131 0.00000000000002118791 -0.000000000000001840542
## 25 0.0000000000000090587260 0.00000000000002167017 -0.000000000000001599415
## 14 15 16
## 1 0.000000000000012660012 0.0000000000000000000000 0.000000000000012660012
## 2 0.000000000000011891529 0.0000000000000000000000 0.000000000000011003351
## 3 0.000000000000010179357 -0.0000000000000008881784 0.000000000000010179357
## 4 0.000000000000011064066 -0.0000000000000002220446 0.000000000000010842022
## 5 0.000000000000010855900 -0.0000000000000001110223 0.000000000000011077944
## 6 0.000000000000010828144 0.0000000000000000000000 0.000000000000010828144
## 7 0.000000000000011046719 0.0000000000000000000000 0.000000000000011046719
## 8 0.000000000000012219392 0.0000000000000017763568 0.000000000000012108370
## 9 0.000000000000012207249 0.0000000000000014432899 0.000000000000011957449
## 10 0.000000000000012212453 0.0000000000000014432899 0.000000000000011962653
## 11 0.000000000000010923554 0.0000000000000002636780 0.000000000000011076209
## 12 0.000000000000010257420 -0.0000000000000008656270 0.000000000000009905271
## 13 0.000000000000013131857 0.0000000000000019984014 0.000000000000013353901
## 14 1.000000000000008437695 -0.0000000000000031086245 0.000000000000008021361
## 15 0.000000000000011064066 0.9999999999999991118216 0.000000000000011952245
## 16 0.000000000000011454379 0.0000000000000000000000 1.000000000000012434498
## 17 0.000000000000009157605 0.0000000000000000000000 0.000000000000009157605
## 18 0.000000000000009537510 -0.0000000000000017763568 0.000000000000011313867
## 19 0.000000000000006652665 -0.0000000000000035527137 0.000000000000010205378
## 20 0.000000000000006940629 -0.0000000000000035527137 0.000000000000006940629
## 21 0.000000000000011136925 0.0000000000000000000000 0.000000000000011136925
## 22 0.000000000000011568871 0.0000000000000000000000 0.000000000000011568871
## 23 0.000000000000012044185 0.0000000000000000000000 0.000000000000008491471
## 24 0.000000000000015923027 0.0000000000000035527137 0.000000000000015923027
## 25 0.000000000000016164153 0.0000000000000000000000 0.000000000000016164153
## 17 18 19
## 1 0.000000000000007105427 0.000000000000012660012 -0.00000000000000155084279
## 2 0.000000000000005329071 0.000000000000010115173 -0.00000000000000231932529
## 3 0.000000000000003552714 0.000000000000009735268 -0.00000000000000314331894
## 4 0.000000000000004440892 0.000000000000010175888 -0.00000000000000336883299
## 5 0.000000000000004440892 0.000000000000010300788 -0.00000000000000268882139
## 6 0.000000000000004440892 0.000000000000010550588 -0.00000000000000299413272
## 7 0.000000000000008881784 0.000000000000011046719 -0.00000000000000316413562
## 8 0.000000000000006217249 0.000000000000011442236 -0.00000000000000121430643
## 9 0.001314627195852402508 0.000000000000011430093 -0.00000000000000100440489
## 10 -0.001314627195839968010 0.000000000000011435297 -0.00000000000000099920072
## 11 0.000000000000005329071 0.000000000000010049253 -0.00000000000000198278893
## 12 0.000000000000004440892 0.000000000000009587817 -0.00000000000000274606726
## 13 0.000000000000006217249 0.000000000000012243678 -0.00000000000000019081958
## 14 0.000000000000001776357 0.000000000000007577272 -0.00000000000000530131494
## 15 0.000000000000005329071 0.000000000000011064066 -0.00000000000000225860997
## 16 0.000000000000006217249 0.000000000000010566201 -0.00000000000000009194034
## 17 0.999996543486815880897 0.000000000000009157605 -0.00000000000000505324949
## 18 0.000000000000006217249 1.000000000000011324275 -0.00000000000000289698820
## 19 0.000000000000001776357 0.000000000000006652665 0.99999999999999600319711
## 20 0.000000000000002664535 0.000000000000006940629 -0.00000000000000727022609
## 21 0.000003456513190336352 0.000000000000011136925 -0.00000000000000307393000
## 22 0.000000000000007105427 0.000000000000011568871 0.00000000000000091072982
## 23 0.000000000000007993606 0.000000000000012044185 -0.00000000000000216666962
## 24 0.000000000000015987212 0.000000000000015923027 0.00000000000000171217207
## 25 0.000000000000005329071 0.000000000000016164153 -0.00000000000000515212872
## 20 21 22
## 1 -0.00000000000000332719963 0.0000000000000044408921 0.000000000000012660012
## 2 -0.00000000000000054296845 0.0000000000000035527137 0.000000000000012779708
## 3 -0.00000000000000358740815 0.0000000000000026645353 0.000000000000010179357
## 4 -0.00000000000000270269918 0.0000000000000026645353 0.000000000000010842022
## 5 -0.00000000000000257779909 0.0000000000000026645353 0.000000000000010744877
## 6 -0.00000000000000304964387 0.0000000000000035527137 0.000000000000011105700
## 7 -0.00000000000000316413562 -0.0000000000000008881784 0.000000000000011046719
## 8 -0.00000000000000060368377 0.0000000000000053290705 0.000000000000012052859
## 9 -0.00000000000000105991604 -0.0013146271958408561886 0.000000000000011624382
## 10 -0.00000000000000105471187 0.0013146271958515143297 0.000000000000011629586
## 11 -0.00000000000000287096735 0.0000000000000044408921 0.000000000000010965187
## 12 -0.00000000000000282586454 0.0000000000000026645353 0.000000000000011107434
## 13 0.00000000000000025326963 0.0000000000000053290705 0.000000000000013575946
## 14 -0.00000000000000530131494 0.0000000000000017763568 0.000000000000009797718
## 15 -0.00000000000000225860997 0.0000000000000044408921 0.000000000000011952245
## 16 -0.00000000000000009194034 0.0000000000000062172489 0.000000000000014118914
## 17 -0.00000000000000505324949 0.0000034565131885599953 0.000000000000009157605
## 18 -0.00000000000000289698820 0.0000000000000044408921 0.000000000000009537510
## 19 -0.00000000000000400547651 0.0000000000000008881784 0.000000000000010205378
## 20 0.99999999999999278355034 0.0000000000000008881784 0.000000000000010493342
## 21 -0.00000000000000307393000 0.9999965434868176572536 0.000000000000011136925
## 22 -0.00000000000000264198385 0.0000000000000053290705 1.000000000000015099033
## 23 0.00000000000000138604406 0.0000000000000088817842 0.000000000000015596899
## 24 0.00000000000000171217207 0.0000000000000124344979 0.000000000000023028454
## 25 0.00000000000000195329863 0.0000000000000053290705 0.000000000000023269581
## 23 24 25
## 1 -0.0000000000000015508428 -0.00000000000001753805 0.000000000000007556455
## 2 -0.0000000000000032075037 -0.00000000000001653018 0.000000000000007795847
## 3 -0.0000000000000040314974 -0.00000000000001868644 0.000000000000005703771
## 4 -0.0000000000000035908776 -0.00000000000001757969 0.000000000000007251144
## 5 -0.0000000000000034659775 -0.00000000000001723274 0.000000000000007278900
## 6 -0.0000000000000030496439 -0.00000000000001709397 0.000000000000007945034
## 7 -0.0000000000000031641356 -0.00000000000001737499 0.000000000000007882583
## 8 -0.0000000000000012143064 -0.00000000000001575823 0.000000000000009117707
## 9 -0.0000000000000011986939 -0.00000000000001607568 0.000000000000007483597
## 10 -0.0000000000000011934898 -0.00000000000001607048 0.000000000000007494005
## 11 -0.0000000000000031207675 -0.00000000000001726223 0.000000000000006581541
## 12 -0.0000000000000032543412 -0.00000000000001834470 0.000000000000007016956
## 13 -0.0000000000000001908196 -0.00000000000001528985 0.000000000000009388323
## 14 -0.0000000000000053013149 -0.00000000000002040035 0.000000000000004496403
## 15 -0.0000000000000022586100 -0.00000000000001824582 0.000000000000008805456
## 16 -0.0000000000000018682972 -0.00000000000001785551 0.000000000000008697904
## 17 -0.0000000000000086059632 -0.00000000000001926410 0.000000000000004104356
## 18 -0.0000000000000011206314 -0.00000000000001533149 0.000000000000004864165
## 19 -0.0000000000000075581902 -0.00000000000002176904 0.000000000000002647188
## 20 -0.0000000000000037175124 -0.00000000000002503379 0.000000000000003223116
## 21 -0.0000000000000066266437 -0.00000000000001728478 0.000000000000008062995
## 22 -0.0000000000000061946975 -0.00000000000002040555 0.000000000000008926887
## 23 1.0000000000000013322676 -0.00000000000001993024 0.000000000000009877515
## 24 0.0000000000000017121721 0.99999999999998745448 0.000000000000010529771
## 25 0.0000000000000019532986 -0.00000000000001225756 1.000000000000011102230#Matriz M
diag(25)-mat_P ->mat_M
print(mat_M)## 1 2
## 1 0.00000000000000155431223 0.000000000000003327200
## 2 0.00000000000000143114687 0.000000000000002331468
## 3 0.00000000000000314331894 0.000000000000004475587
## 4 0.00000000000000248065457 0.000000000000003812922
## 5 0.00000000000000268882139 0.000000000000003577000
## 6 0.00000000000000260555466 0.000000000000003715778
## 7 0.00000000000000316413562 0.000000000000003164136
## 8 0.00000000000000121430643 0.000000000000002324529
## 9 0.00000000000000117093835 0.000000000000002281161
## 10 0.00000000000000116573418 0.000000000000002275957
## 11 0.00000000000000239912257 0.000000000000003662001
## 12 0.00000000000000313638004 0.000000000000004340278
## 13 -0.00000000000000003122502 0.000000000000001301043
## 14 0.00000000000000530131494 0.000000000000006633583
## 15 0.00000000000000225860997 0.000000000000003146788
## 16 0.00000000000000186829718 0.000000000000002756476
## 17 0.00000000000000150053581 0.000000000000008605963
## 18 0.00000000000000289698820 0.000000000000004673345
## 19 0.00000000000000400547651 0.000000000000004005477
## 20 0.00000000000000371751241 0.000000000000007270226
## 21 -0.00000000000000047878368 0.000000000000006626644
## 22 0.00000000000000264198385 0.000000000000006194698
## 23 0.00000000000000216666962 0.000000000000005719383
## 24 -0.00000000000000526488575 -0.000000000000001712172
## 25 -0.00000000000000195329863 0.000000000000001599415
## 3 4 5
## 1 0.0000000000000017763568 -0.0000000000000055545846 -0.000000000000012660012
## 2 0.0000000000000000000000 -0.0000000000000047861021 -0.000000000000011891529
## 3 0.0000000000000008881784 -0.0000000000000035180192 -0.000000000000010179357
## 4 0.0000000000000002220446 -0.0000000000000039968029 -0.000000000000011286111
## 5 0.0000000000000005551115 -0.0000000000000038614945 -0.000000000000011102230
## 6 0.0000000000000004440892 -0.0000000000000038337389 -0.000000000000011161211
## 7 0.0000000000000000000000 -0.0000000000000039412917 -0.000000000000011046719
## 8 -0.0000000000000013322676 -0.0000000000000052249871 -0.000000000000012496948
## 9 -0.0000000000000012212453 -0.0000000000000051295773 -0.000000000000012540316
## 10 -0.0000000000000012212453 -0.0000000000000051347815 -0.000000000000012545520
## 11 0.0000000000000001110223 -0.0000000000000039430265 -0.000000000000011270498
## 12 0.0000000000000009159340 -0.0000000000000030097452 -0.000000000000010193235
## 13 -0.0000000000000019984014 -0.0000000000000060264294 -0.000000000000013353901
## 14 0.0000000000000035527137 -0.0000000000000013600232 -0.000000000000008465451
## 15 0.0000000000000000000000 -0.0000000000000048468174 -0.000000000000011952245
## 16 -0.0000000000000008881784 -0.0000000000000052371302 -0.000000000000012342558
## 17 0.0000000000000017763568 -0.0000000000000038285347 -0.000000000000009157605
## 18 0.0000000000000035527137 -0.0000000000000042084392 -0.000000000000011313867
## 19 0.0000000000000035527137 -0.0000000000000030999509 -0.000000000000010205378
## 20 0.0000000000000035527137 0.0000000000000001647987 -0.000000000000010493342
## 21 0.0000000000000017763568 -0.0000000000000058078542 -0.000000000000011136925
## 22 0.0000000000000000000000 -0.0000000000000044634435 -0.000000000000011568871
## 23 0.0000000000000035527137 -0.0000000000000049387577 -0.000000000000012044185
## 24 -0.0000000000000035527137 -0.0000000000000088175994 -0.000000000000019475740
## 25 0.0000000000000035527137 -0.0000000000000090587260 -0.000000000000016164153
## 6 7 8
## 1 -0.000000000000009332812 -0.000000000000006654399 -0.0000000000000037782277
## 2 -0.000000000000008684026 -0.000000000000005970918 -0.0000000000000038979237
## 3 -0.000000000000007480128 -0.000000000000004954370 -0.0000000000000026298408
## 4 -0.000000000000008139323 -0.000000000000005405398 -0.0000000000000035145498
## 5 -0.000000000000007945034 -0.000000000000005599687 -0.0000000000000036394499
## 6 -0.000000000000007993606 -0.000000000000005322132 -0.0000000000000035561831
## 7 -0.000000000000007882583 -0.000000000000006217249 -0.0000000000000039412917
## 8 -0.000000000000009339751 -0.000000000000007091550 -0.0000000000000053290705
## 9 -0.000000000000009010154 -0.000000000000006949302 -0.0000000000000050463106
## 10 -0.000000000000009020562 -0.000000000000006938894 -0.0000000000000050515148
## 11 -0.000000000000007899931 -0.000000000000005908468 -0.0000000000000038320042
## 12 -0.000000000000006938894 -0.000000000000004548445 -0.0000000000000028692326
## 13 -0.000000000000010054457 -0.000000000000007709111 -0.0000000000000055823401
## 14 -0.000000000000005384582 -0.000000000000002831069 -0.0000000000000009159340
## 15 -0.000000000000009693635 -0.000000000000006293577 -0.0000000000000039586390
## 16 -0.000000000000009586082 -0.000000000000006401130 -0.0000000000000043489518
## 17 -0.000000000000005880713 -0.000000000000006553785 -0.0000000000000020521779
## 18 -0.000000000000008416878 -0.000000000000005793976 -0.0000000000000024320823
## 19 -0.000000000000007976259 -0.000000000000004458239 -0.0000000000000013235940
## 20 -0.000000000000006775830 -0.000000000000003882311 0.0000000000000001647987
## 21 -0.000000000000009839352 -0.000000000000002595146 -0.0000000000000040314974
## 22 -0.000000000000012479601 -0.000000000000005283968 -0.0000000000000009107298
## 23 -0.000000000000009877515 -0.000000000000007886053 -0.0000000000000049387577
## 24 -0.000000000000017635199 -0.000000000000010786511 -0.0000000000000088175994
## 25 -0.000000000000014564738 -0.000000000000010304257 -0.0000000000000055060123
## 9 10
## 1 -0.0000000000000005238865 0.0000000000000023002433
## 2 -0.0000000000000022759572 0.0000000000000013877788
## 3 -0.0000000000000009783840 0.0000000000000027547409
## 4 -0.0000000000000017867652 0.0000000000000020088098
## 5 -0.0000000000000017728874 0.0000000000000018839097
## 6 -0.0000000000000016341095 0.0000000000000020226876
## 7 -0.0000000000000018318680 0.0000000000000018318680
## 8 -0.0000000000000028796410 0.0000000000000007147061
## 9 0.4999965434867742475333 -0.4999965434867759683790
## 10 -0.4999965434867795766039 0.4999965434867779112693
## 11 -0.0000000000000019550334 0.0000000000000016913554
## 12 -0.0000000000000008847090 0.0000000000000027564756
## 13 -0.0000000000000038268000 -0.0000000000000001700029
## 14 0.0000000000000011379786 0.0000000000000046351811
## 15 -0.0000000000000020088098 0.0000000000000011206314
## 16 -0.0000000000000024355518 0.0000000000000006591949
## 17 -0.0013146271958459770923 0.0013146271958495298060
## 18 -0.0000000000000006487866 0.0000000000000024251434
## 19 0.0000000000000005342948 0.0000000000000047947757
## 20 0.0000000000000025673907 0.0000000000000045380366
## 21 0.0013146271958462754648 -0.0013146271958427227511
## 22 -0.0000000000000012975732 0.0000000000000012975732
## 23 0.0000000000000013183898 0.0000000000000057870375
## 24 -0.0000000000000048502868 -0.0000000000000022551405
## 25 -0.0000000000000025153490 0.0000000000000025153490
## 11 12 13
## 1 -0.0000000000000037782277 -0.00000000000001643824 0.000000000000003327200
## 2 -0.0000000000000038979237 -0.00000000000001667763 0.000000000000003207504
## 3 -0.0000000000000030739300 -0.00000000000001414147 0.000000000000004475587
## 4 -0.0000000000000032925052 -0.00000000000001502271 0.000000000000003590878
## 5 -0.0000000000000034174052 -0.00000000000001505046 0.000000000000003465978
## 6 -0.0000000000000033896497 -0.00000000000001477291 0.000000000000003216177
## 7 -0.0000000000000039412917 -0.00000000000001498801 0.000000000000003164136
## 8 -0.0000000000000047808979 -0.00000000000001622313 0.000000000000001880440
## 9 -0.0000000000000046577325 -0.00000000000001600456 0.000000000000002059117
## 10 -0.0000000000000046629367 -0.00000000000001601497 0.000000000000002053913
## 11 -0.0000000000000031086245 -0.00000000000001490821 0.000000000000003426079
## 12 -0.0000000000000024789198 -0.00000000000001398881 0.000000000000004277828
## 13 -0.0000000000000055823401 -0.00000000000001715988 0.000000000000001332268
## 14 -0.0000000000000009159340 -0.00000000000001204592 0.000000000000006189493
## 15 -0.0000000000000039586390 -0.00000000000001591088 0.000000000000003146788
## 16 -0.0000000000000052371302 -0.00000000000001757969 0.000000000000002756476
## 17 -0.0000000000000020521779 -0.00000000000001476250 0.000000000000006829606
## 18 -0.0000000000000042084392 -0.00000000000001552231 0.000000000000004673345
## 19 -0.0000000000000013235940 -0.00000000000001508169 0.000000000000005781833
## 20 0.0000000000000001647987 -0.00000000000001388126 0.000000000000003717512
## 21 -0.0000000000000040314974 -0.00000000000001872114 0.000000000000004850287
## 22 -0.0000000000000044634435 -0.00000000000001603231 0.000000000000006194698
## 23 -0.0000000000000049387577 -0.00000000000002053566 0.000000000000002166670
## 24 -0.0000000000000123703131 -0.00000000000002118791 0.000000000000001840542
## 25 -0.0000000000000090587260 -0.00000000000002167017 0.000000000000001599415
## 14 15 16
## 1 -0.000000000000012660012 0.0000000000000000000000 -0.000000000000012660012
## 2 -0.000000000000011891529 0.0000000000000000000000 -0.000000000000011003351
## 3 -0.000000000000010179357 0.0000000000000008881784 -0.000000000000010179357
## 4 -0.000000000000011064066 0.0000000000000002220446 -0.000000000000010842022
## 5 -0.000000000000010855900 0.0000000000000001110223 -0.000000000000011077944
## 6 -0.000000000000010828144 0.0000000000000000000000 -0.000000000000010828144
## 7 -0.000000000000011046719 0.0000000000000000000000 -0.000000000000011046719
## 8 -0.000000000000012219392 -0.0000000000000017763568 -0.000000000000012108370
## 9 -0.000000000000012207249 -0.0000000000000014432899 -0.000000000000011957449
## 10 -0.000000000000012212453 -0.0000000000000014432899 -0.000000000000011962653
## 11 -0.000000000000010923554 -0.0000000000000002636780 -0.000000000000011076209
## 12 -0.000000000000010257420 0.0000000000000008656270 -0.000000000000009905271
## 13 -0.000000000000013131857 -0.0000000000000019984014 -0.000000000000013353901
## 14 -0.000000000000008437695 0.0000000000000031086245 -0.000000000000008021361
## 15 -0.000000000000011064066 0.0000000000000008881784 -0.000000000000011952245
## 16 -0.000000000000011454379 0.0000000000000000000000 -0.000000000000012434498
## 17 -0.000000000000009157605 0.0000000000000000000000 -0.000000000000009157605
## 18 -0.000000000000009537510 0.0000000000000017763568 -0.000000000000011313867
## 19 -0.000000000000006652665 0.0000000000000035527137 -0.000000000000010205378
## 20 -0.000000000000006940629 0.0000000000000035527137 -0.000000000000006940629
## 21 -0.000000000000011136925 0.0000000000000000000000 -0.000000000000011136925
## 22 -0.000000000000011568871 0.0000000000000000000000 -0.000000000000011568871
## 23 -0.000000000000012044185 0.0000000000000000000000 -0.000000000000008491471
## 24 -0.000000000000015923027 -0.0000000000000035527137 -0.000000000000015923027
## 25 -0.000000000000016164153 0.0000000000000000000000 -0.000000000000016164153
## 17 18 19
## 1 -0.000000000000007105427 -0.000000000000012660012 0.00000000000000155084279
## 2 -0.000000000000005329071 -0.000000000000010115173 0.00000000000000231932529
## 3 -0.000000000000003552714 -0.000000000000009735268 0.00000000000000314331894
## 4 -0.000000000000004440892 -0.000000000000010175888 0.00000000000000336883299
## 5 -0.000000000000004440892 -0.000000000000010300788 0.00000000000000268882139
## 6 -0.000000000000004440892 -0.000000000000010550588 0.00000000000000299413272
## 7 -0.000000000000008881784 -0.000000000000011046719 0.00000000000000316413562
## 8 -0.000000000000006217249 -0.000000000000011442236 0.00000000000000121430643
## 9 -0.001314627195852402508 -0.000000000000011430093 0.00000000000000100440489
## 10 0.001314627195839968010 -0.000000000000011435297 0.00000000000000099920072
## 11 -0.000000000000005329071 -0.000000000000010049253 0.00000000000000198278893
## 12 -0.000000000000004440892 -0.000000000000009587817 0.00000000000000274606726
## 13 -0.000000000000006217249 -0.000000000000012243678 0.00000000000000019081958
## 14 -0.000000000000001776357 -0.000000000000007577272 0.00000000000000530131494
## 15 -0.000000000000005329071 -0.000000000000011064066 0.00000000000000225860997
## 16 -0.000000000000006217249 -0.000000000000010566201 0.00000000000000009194034
## 17 0.000003456513184119103 -0.000000000000009157605 0.00000000000000505324949
## 18 -0.000000000000006217249 -0.000000000000011324275 0.00000000000000289698820
## 19 -0.000000000000001776357 -0.000000000000006652665 0.00000000000000399680289
## 20 -0.000000000000002664535 -0.000000000000006940629 0.00000000000000727022609
## 21 -0.000003456513190336352 -0.000000000000011136925 0.00000000000000307393000
## 22 -0.000000000000007105427 -0.000000000000011568871 -0.00000000000000091072982
## 23 -0.000000000000007993606 -0.000000000000012044185 0.00000000000000216666962
## 24 -0.000000000000015987212 -0.000000000000015923027 -0.00000000000000171217207
## 25 -0.000000000000005329071 -0.000000000000016164153 0.00000000000000515212872
## 20 21
## 1 0.00000000000000332719963 -0.0000000000000044408921
## 2 0.00000000000000054296845 -0.0000000000000035527137
## 3 0.00000000000000358740815 -0.0000000000000026645353
## 4 0.00000000000000270269918 -0.0000000000000026645353
## 5 0.00000000000000257779909 -0.0000000000000026645353
## 6 0.00000000000000304964387 -0.0000000000000035527137
## 7 0.00000000000000316413562 0.0000000000000008881784
## 8 0.00000000000000060368377 -0.0000000000000053290705
## 9 0.00000000000000105991604 0.0013146271958408561886
## 10 0.00000000000000105471187 -0.0013146271958515143297
## 11 0.00000000000000287096735 -0.0000000000000044408921
## 12 0.00000000000000282586454 -0.0000000000000026645353
## 13 -0.00000000000000025326963 -0.0000000000000053290705
## 14 0.00000000000000530131494 -0.0000000000000017763568
## 15 0.00000000000000225860997 -0.0000000000000044408921
## 16 0.00000000000000009194034 -0.0000000000000062172489
## 17 0.00000000000000505324949 -0.0000034565131885599953
## 18 0.00000000000000289698820 -0.0000000000000044408921
## 19 0.00000000000000400547651 -0.0000000000000008881784
## 20 0.00000000000000721644966 -0.0000000000000008881784
## 21 0.00000000000000307393000 0.0000034565131823427464
## 22 0.00000000000000264198385 -0.0000000000000053290705
## 23 -0.00000000000000138604406 -0.0000000000000088817842
## 24 -0.00000000000000171217207 -0.0000000000000124344979
## 25 -0.00000000000000195329863 -0.0000000000000053290705
## 22 23 24
## 1 -0.000000000000012660012 0.0000000000000015508428 0.00000000000001753805
## 2 -0.000000000000012779708 0.0000000000000032075037 0.00000000000001653018
## 3 -0.000000000000010179357 0.0000000000000040314974 0.00000000000001868644
## 4 -0.000000000000010842022 0.0000000000000035908776 0.00000000000001757969
## 5 -0.000000000000010744877 0.0000000000000034659775 0.00000000000001723274
## 6 -0.000000000000011105700 0.0000000000000030496439 0.00000000000001709397
## 7 -0.000000000000011046719 0.0000000000000031641356 0.00000000000001737499
## 8 -0.000000000000012052859 0.0000000000000012143064 0.00000000000001575823
## 9 -0.000000000000011624382 0.0000000000000011986939 0.00000000000001607568
## 10 -0.000000000000011629586 0.0000000000000011934898 0.00000000000001607048
## 11 -0.000000000000010965187 0.0000000000000031207675 0.00000000000001726223
## 12 -0.000000000000011107434 0.0000000000000032543412 0.00000000000001834470
## 13 -0.000000000000013575946 0.0000000000000001908196 0.00000000000001528985
## 14 -0.000000000000009797718 0.0000000000000053013149 0.00000000000002040035
## 15 -0.000000000000011952245 0.0000000000000022586100 0.00000000000001824582
## 16 -0.000000000000014118914 0.0000000000000018682972 0.00000000000001785551
## 17 -0.000000000000009157605 0.0000000000000086059632 0.00000000000001926410
## 18 -0.000000000000009537510 0.0000000000000011206314 0.00000000000001533149
## 19 -0.000000000000010205378 0.0000000000000075581902 0.00000000000002176904
## 20 -0.000000000000010493342 0.0000000000000037175124 0.00000000000002503379
## 21 -0.000000000000011136925 0.0000000000000066266437 0.00000000000001728478
## 22 -0.000000000000015099033 0.0000000000000061946975 0.00000000000002040555
## 23 -0.000000000000015596899 -0.0000000000000013322676 0.00000000000001993024
## 24 -0.000000000000023028454 -0.0000000000000017121721 0.00000000000001254552
## 25 -0.000000000000023269581 -0.0000000000000019532986 0.00000000000001225756
## 25
## 1 -0.000000000000007556455
## 2 -0.000000000000007795847
## 3 -0.000000000000005703771
## 4 -0.000000000000007251144
## 5 -0.000000000000007278900
## 6 -0.000000000000007945034
## 7 -0.000000000000007882583
## 8 -0.000000000000009117707
## 9 -0.000000000000007483597
## 10 -0.000000000000007494005
## 11 -0.000000000000006581541
## 12 -0.000000000000007016956
## 13 -0.000000000000009388323
## 14 -0.000000000000004496403
## 15 -0.000000000000008805456
## 16 -0.000000000000008697904
## 17 -0.000000000000004104356
## 18 -0.000000000000004864165
## 19 -0.000000000000002647188
## 20 -0.000000000000003223116
## 21 -0.000000000000008062995
## 22 -0.000000000000008926887
## 23 -0.000000000000009877515
## 24 -0.000000000000010529771
## 25 -0.000000000000011102230