# Establish data and the two datasets I will be using
data <- read.csv("/Users/yahavmanor/Desktop/ENP164/Project/Smallnproject - Sheet1.csv")
data
## Participant.Ratings Black White
## 1 Participant 1 Rating 1 4
## 2 Participant 2 Rating 2 4
## 3 Participant 3 Rating 1 4
## 4 Participant 4 Rating 1 4
## 5 Participant 5 Rating 2 3
black <- c(data$Black)
white <- c(data$White)
black
## [1] 1 2 1 1 2
white
## [1] 4 4 4 4 3
# Use an arbitrary number like 10,000 for tests to be performed, this will be used as the number of replications of the test to be conducted
replications <-10000
results <- numeric(replications)
#Combine data from two datasets into one group
combined <- c(black, white)
combined
## [1] 1 2 1 1 2 4 4 4 4 3
# Next, I need to create one random permutation of the original data using sample ()
temp <- sample (combined)
cat("The new permutation is: ", temp[1:5], " ", temp[6:10], "\n") #need 5 values in each group since there were 5 participants from this research
## The new permutation is: 3 4 4 4 2 2 1 1 4 1
# Using a for loop, I will create 10,000 permutations (1 example of doing this being shown in the previous R chunk)
# The difference of the mean between the two samples will be calculated here so as to not overcomplicate the code
for (i in 1:replications) {
temp <- sample (combined)
results[i] <- mean(temp[1:5]) -mean(temp[6:10])
}
cat("The values in the 'results' vector are the differences of the means of the two samples for each permutation. There are 10,000 in total.", "\n")
## The values in the 'results' vector are the differences of the means of the two samples for each permutation. There are 10,000 in total.
results
## [1] -0.4 -0.8 -1.6 0.4 0.4 0.0 1.6 0.8 -0.4 -1.2 0.4 -0.8 0.8 0.4
## [15] 0.8 0.0 0.4 0.4 -1.6 0.4 0.8 0.8 0.4 -0.8 -0.4 0.0 0.0 0.0
## [29] 1.2 -1.2 -1.6 0.4 0.0 -1.2 0.4 -0.4 -0.4 -0.8 0.4 0.4 2.4 -0.4
## [43] -0.4 0.0 1.6 0.0 0.8 -1.6 0.4 0.4 0.4 0.8 -0.8 -0.4 1.2 1.6
## [57] -1.2 0.4 0.4 0.0 -0.4 -0.4 -0.4 0.4 0.4 -2.4 0.8 0.8 1.2 -0.4
## [71] 0.0 0.4 0.4 1.2 -1.2 0.4 0.8 0.0 0.4 0.0 0.4 -0.4 -1.6 -0.8
## [85] -0.4 -1.6 -0.8 -1.2 1.2 -1.2 1.6 -0.4 -0.8 -1.2 0.8 1.6 0.0 0.4
## [99] 0.4 1.2 1.6 1.6 -1.2 1.2 -0.8 0.4 0.8 -0.8 -0.8 0.0 1.6 -0.8
## [113] 0.4 0.4 0.8 -0.8 -0.4 1.2 0.4 -0.4 0.4 -1.6 -0.4 0.8 0.4 0.8
## [127] 1.2 -0.4 0.8 -0.4 -0.8 0.4 -1.6 1.2 0.0 0.4 0.0 -0.8 0.8 0.4
## [141] -1.2 0.0 -0.4 0.0 0.8 0.0 -0.8 0.8 -1.2 0.8 0.4 -1.2 -0.4 -1.6
## [155] -0.4 0.0 -0.4 1.6 1.2 0.8 0.8 0.8 0.8 -0.8 1.6 -0.4 1.2 1.6
## [169] 0.4 0.8 0.8 -0.8 0.8 0.0 1.2 -0.8 -0.8 1.2 1.6 -1.2 0.4 0.4
## [183] 1.2 0.4 0.0 0.4 -0.8 -0.4 -0.8 -0.4 0.8 0.4 -0.8 0.0 -0.4 -0.8
## [197] -0.4 -0.8 0.0 0.4 -0.8 -0.4 -0.4 0.4 -2.4 0.8 0.4 0.4 0.4 0.4
## [211] -0.4 0.4 0.4 0.4 0.8 0.0 0.8 0.0 0.8 0.0 1.6 0.0 0.4 0.0
## [225] 0.0 2.0 -1.6 -0.8 0.8 0.4 -0.4 1.6 1.2 -0.8 0.4 0.4 0.8 0.0
## [239] -1.6 0.4 0.0 0.0 -1.2 0.4 1.2 0.8 -1.6 -2.0 1.2 0.4 0.8 -1.2
## [253] -0.4 -0.8 -1.2 0.0 -0.8 -0.4 -0.4 -0.8 -0.8 0.4 -0.8 2.0 -1.2 0.4
## [267] -0.8 -1.2 -0.4 -0.4 0.8 0.0 2.0 -0.4 0.0 0.8 -1.2 -0.8 -0.8 -0.8
## [281] 0.8 1.6 -0.4 0.0 -0.4 0.4 0.8 0.0 -1.2 1.2 2.4 -0.8 -0.8 0.0
## [295] 0.0 -1.6 -1.6 0.8 0.4 -1.2 -0.8 0.0 -1.6 0.4 2.4 0.0 0.8 -0.4
## [309] 0.8 0.4 1.2 1.2 1.2 0.0 0.0 0.8 1.6 -0.4 0.4 1.2 0.4 -0.4
## [323] -0.8 -0.4 0.4 0.4 -0.8 -1.6 -0.8 -0.4 1.2 -0.4 0.4 0.0 1.2 1.6
## [337] 1.6 -0.4 0.8 0.4 -0.4 -0.4 -1.2 -0.4 1.6 0.0 -0.8 -0.4 -0.8 -0.4
## [351] 0.4 0.4 1.6 0.4 0.4 0.8 0.0 1.2 0.0 0.8 -0.4 -0.4 2.0 0.8
## [365] 0.4 0.4 -0.4 0.0 1.6 0.0 0.4 -0.4 -0.8 0.0 -0.4 0.0 -0.4 -0.4
## [379] 0.8 -0.4 0.0 0.4 -0.8 0.4 2.0 -0.4 2.4 -1.2 -1.6 -1.2 -1.2 0.0
## [393] 0.4 0.8 -0.8 0.8 -0.4 0.8 0.4 0.0 -0.8 1.2 0.4 0.0 0.0 -0.4
## [407] 0.0 0.4 0.8 -0.8 -0.4 -0.4 0.4 1.6 -1.2 0.4 0.0 -1.2 0.0 0.4
## [421] 0.0 -0.8 0.8 0.4 2.4 -1.2 -0.8 1.2 1.2 -0.4 0.8 -1.6 0.0 0.0
## [435] -0.4 0.4 1.2 -1.2 2.0 0.4 1.6 0.0 1.6 0.0 0.0 0.4 -0.4 -0.4
## [449] 1.2 0.8 0.4 -0.4 -0.8 1.6 -0.4 -0.4 1.2 1.2 0.4 -0.4 0.0 0.0
## [463] 0.4 -0.4 0.4 1.2 1.2 0.0 1.2 1.6 0.4 0.8 0.0 0.8 -0.4 -0.4
## [477] 0.4 0.8 -0.4 0.8 0.0 0.0 -1.2 1.6 -1.2 0.4 0.8 1.2 0.8 0.8
## [491] 0.0 0.4 1.2 0.4 -1.6 -1.2 0.0 0.8 1.6 0.4 -0.8 -0.4 -0.4 -1.2
## [505] 1.6 1.6 1.6 -0.8 -0.8 0.8 -0.4 -0.8 -0.4 0.0 0.0 -0.8 0.0 -0.8
## [519] -0.8 -1.6 -0.8 -1.2 0.0 0.4 0.4 -0.8 0.4 0.0 0.0 -1.2 -0.8 -0.4
## [533] 0.4 -0.8 0.0 0.4 -1.2 -0.4 -0.8 0.4 -0.8 -1.2 -0.8 0.4 0.0 0.8
## [547] 0.8 -1.6 -1.6 0.8 -0.8 1.2 0.4 0.0 -0.8 -1.2 -0.4 -0.4 0.4 -1.2
## [561] 0.4 -1.2 -0.4 -0.4 0.8 0.4 -1.6 -1.2 -0.4 1.2 0.0 1.6 0.0 0.8
## [575] 0.8 0.0 0.4 1.6 -0.4 0.0 0.0 0.8 0.0 0.4 -1.6 0.0 -0.8 -0.4
## [589] -0.8 0.8 -0.4 -0.8 -0.4 -0.4 0.4 -0.4 -1.2 0.8 -0.8 -1.6 -0.8 0.4
## [603] 0.8 1.2 0.8 0.8 1.6 -0.4 0.8 0.0 0.4 0.0 -1.6 0.0 0.8 1.2
## [617] -1.6 0.8 1.6 0.8 -0.4 -0.8 0.0 -0.4 -0.4 1.6 -0.4 -1.6 -1.2 1.6
## [631] -0.4 2.0 0.8 -1.6 0.4 0.8 0.8 -0.4 0.8 0.8 -0.4 0.0 -0.4 -0.8
## [645] -0.8 -0.4 -0.4 -0.4 0.4 0.0 -0.4 -1.6 0.4 -0.4 0.8 1.2 -0.4 -0.4
## [659] -0.8 -1.6 -0.4 0.4 1.6 0.8 -0.4 1.2 -0.4 1.2 -0.4 0.4 -0.4 0.0
## [673] -0.8 0.0 0.8 -0.4 1.2 0.0 1.6 0.8 0.4 0.4 -0.8 -2.0 -0.4 -0.8
## [687] -0.4 0.4 -0.8 0.4 0.0 1.2 0.0 0.0 -0.8 0.0 -0.4 0.0 0.8 0.4
## [701] 0.8 -2.4 -0.8 -0.8 0.4 0.0 -0.8 1.2 0.8 0.8 0.4 0.8 -0.8 0.4
## [715] 0.0 0.4 0.0 0.0 -0.4 0.4 -0.4 0.4 -0.8 0.0 -0.8 -0.4 0.8 -1.2
## [729] 0.4 0.8 -0.4 -0.4 -1.2 -0.4 -0.8 -0.4 -0.8 0.4 -2.0 1.6 -0.4 -1.6
## [743] 1.2 0.0 0.4 0.0 -0.4 0.0 -0.8 -0.8 0.8 -1.2 -1.6 -0.4 -0.4 0.4
## [757] -1.6 0.8 -0.4 1.6 -1.6 0.8 0.4 0.0 0.0 0.4 0.0 -0.4 -0.4 -0.8
## [771] 0.8 0.0 0.0 0.4 1.2 -0.4 -0.4 1.2 -1.2 2.0 0.4 -0.4 0.0 0.4
## [785] 0.4 1.6 -0.4 -1.2 -0.8 -0.4 0.0 -1.2 0.8 1.2 -1.2 0.4 0.0 1.6
## [799] -0.8 0.0 0.0 -1.2 -0.4 1.2 0.8 -0.8 -1.2 0.4 0.4 1.6 0.8 0.0
## [813] 0.4 0.4 -0.4 0.4 0.0 -1.6 -0.8 -0.8 -1.2 -0.8 0.0 -0.8 1.2 -0.8
## [827] 0.0 1.2 0.4 -0.4 -1.6 0.4 0.4 0.8 0.4 0.4 -0.4 -0.4 0.0 1.2
## [841] -0.8 1.2 -0.4 0.8 0.4 -0.4 0.4 -0.8 0.4 0.8 0.4 -1.2 0.8 1.2
## [855] -0.4 -0.8 -0.4 -0.4 0.4 1.6 -0.4 -1.2 -0.8 0.4 -0.8 -1.2 0.4 0.0
## [869] -0.4 0.4 -0.4 -0.4 -1.2 0.4 -1.2 0.4 0.4 -1.2 0.4 0.4 -0.4 -1.2
## [883] -0.4 -0.4 0.4 1.2 -1.6 0.8 -0.8 0.0 0.0 -0.4 -0.4 0.0 0.0 -0.4
## [897] -0.8 0.4 0.4 0.0 -0.4 -0.4 0.0 -1.6 0.4 -0.8 -0.4 -0.4 -0.8 0.0
## [911] 1.6 0.0 -1.6 1.2 0.4 0.4 -0.8 0.8 0.4 0.4 0.4 -0.4 0.4 -0.4
## [925] -1.2 -0.4 0.4 0.8 0.0 1.2 -1.2 -0.4 0.4 -0.8 1.6 -0.4 0.4 0.8
## [939] 0.8 0.8 -0.4 0.8 0.4 -0.4 0.8 -0.8 0.4 0.0 -1.6 1.2 0.0 0.0
## [953] -1.6 -0.8 0.0 0.0 0.4 0.4 -0.4 0.8 -0.8 -0.4 0.8 -0.8 0.0 0.4
## [967] 0.0 -0.4 1.2 -0.4 0.8 1.6 0.0 0.4 -2.0 -1.2 0.8 -0.8 -0.4 0.0
## [981] 1.2 -0.4 -1.2 -0.4 0.4 0.4 0.0 0.8 0.8 0.4 0.4 -0.8 1.2 1.2
## [995] 0.0 1.2 -1.6 -0.4 0.4 0.8 0.4 -0.4 0.0 -0.8 1.2 0.4 -0.8 -0.4
## [1009] 0.4 1.2 -0.8 -0.4 0.4 0.4 -0.8 0.4 -1.6 0.4 -1.6 0.8 0.4 1.2
## [1023] 0.4 0.0 0.0 -0.4 -0.4 -0.4 0.0 -0.4 -0.4 1.6 0.8 -1.6 -0.4 -0.8
## [1037] -0.8 -0.4 0.4 -0.4 -1.2 2.0 0.4 -0.8 -0.8 0.0 -0.8 2.0 -0.4 -0.8
## [1051] -0.8 -0.4 -0.4 -0.4 0.8 2.4 -0.8 1.6 -0.4 0.4 -1.2 -0.8 -0.4 -0.4
## [1065] -0.4 0.4 -0.4 0.8 0.0 0.8 0.4 0.4 0.4 0.4 0.4 0.0 0.8 0.8
## [1079] 1.2 1.6 0.0 -0.4 -1.2 -0.8 -0.8 0.0 -0.8 0.0 -2.4 0.4 0.0 0.4
## [1093] 0.8 -0.4 -1.6 -0.4 1.6 0.8 -0.8 1.6 0.8 -0.4 0.8 0.4 -0.8 1.2
## [1107] -0.8 -0.8 0.4 0.8 0.8 1.6 0.0 0.0 -1.2 -0.8 -1.2 1.2 0.0 0.8
## [1121] -0.4 0.0 0.0 -0.4 -0.4 0.0 -0.4 0.4 -0.8 0.8 -1.2 0.0 -0.8 0.4
## [1135] -0.4 0.4 0.4 0.4 1.6 -0.8 0.8 0.0 0.4 0.4 -0.4 1.6 0.4 0.8
## [1149] 0.8 -0.8 0.4 0.0 0.0 0.0 0.0 -0.8 -0.4 -0.4 -0.4 -0.4 0.0 -0.8
## [1163] -1.2 -1.6 0.0 -1.2 -1.2 -0.8 -1.2 0.0 0.4 -0.4 -1.2 0.8 1.6 0.4
## [1177] -0.4 1.6 0.8 -0.4 1.6 -0.8 -0.8 -0.8 0.8 0.8 0.0 1.6 0.4 0.0
## [1191] 1.2 0.4 -1.2 -0.4 0.4 1.2 -0.4 -0.8 -0.8 -0.8 0.8 1.6 0.4 0.4
## [1205] 0.4 0.4 1.6 -0.8 1.6 0.8 -0.4 0.4 1.6 0.8 0.4 0.8 -0.8 0.8
## [1219] 1.2 -0.8 0.4 0.4 -1.6 -1.6 0.4 1.2 0.4 -0.4 0.8 0.4 0.0 0.4
## [1233] -0.4 1.2 0.4 2.0 0.8 0.4 -0.4 0.4 0.8 1.2 -1.2 -0.4 0.4 0.4
## [1247] 1.6 -1.6 -0.8 -0.8 0.0 1.2 -0.8 -1.2 0.8 -0.8 -0.4 0.4 0.8 0.4
## [1261] 1.2 -1.2 -0.8 -0.8 1.2 -0.8 0.0 -0.4 1.6 0.0 0.0 -0.8 0.0 1.2
## [1275] 0.0 1.2 0.4 0.0 0.0 0.4 -0.4 -0.8 0.0 1.6 0.0 0.4 0.0 -0.4
## [1289] -0.4 0.4 0.4 -0.4 0.4 0.4 1.6 1.6 -0.8 -0.4 -0.4 0.0 0.4 -1.6
## [1303] -0.8 1.6 0.4 -0.4 0.8 0.8 -1.2 -0.8 1.2 0.4 -0.4 -0.4 1.2 0.4
## [1317] -0.8 0.0 0.8 1.2 0.8 0.0 0.8 1.6 -1.2 0.8 -0.4 0.0 -0.8 -0.4
## [1331] 0.0 -1.2 -0.4 0.0 0.0 0.0 -0.4 0.4 0.0 0.4 -1.2 0.4 -0.4 -0.8
## [1345] 0.0 -1.2 -1.6 0.0 -0.8 2.0 0.8 -0.8 0.8 1.2 -2.0 -0.8 -0.4 1.2
## [1359] 0.0 -0.8 1.2 -0.8 -0.8 -0.4 -1.6 0.0 1.6 0.0 0.4 -0.4 0.4 1.6
## [1373] 0.0 0.4 -0.4 -0.8 1.6 0.4 0.4 0.0 0.8 1.2 0.8 -0.8 -0.4 1.6
## [1387] -0.8 0.4 -1.6 0.0 -0.8 0.0 0.4 -0.4 0.8 -0.4 0.0 0.4 -1.2 0.8
## [1401] 0.8 -0.4 -0.8 -0.4 1.6 0.4 0.0 -0.4 1.6 -0.8 1.6 -1.6 1.6 -1.6
## [1415] 0.0 -0.4 1.6 -1.6 0.4 0.4 0.0 0.4 -0.4 -0.4 -1.2 -0.4 0.8 -1.2
## [1429] 1.2 0.8 -1.2 0.4 0.8 -0.4 0.4 1.6 -1.6 0.8 0.8 0.0 0.4 -0.8
## [1443] 0.4 0.4 0.0 -0.4 -1.6 -0.4 0.4 -1.6 0.8 -0.8 0.4 -1.6 0.8 -0.8
## [1457] 0.0 0.0 0.8 0.0 -1.2 -2.4 0.4 -0.4 0.8 0.8 -1.2 -0.4 1.6 -0.4
## [1471] -0.4 0.0 -0.4 0.0 0.8 0.4 -0.8 1.2 0.4 0.0 -0.8 -0.8 0.8 1.2
## [1485] 0.0 -0.8 -1.2 0.0 0.0 -0.4 0.8 -0.8 0.8 -0.8 0.4 -0.4 0.0 -0.8
## [1499] 0.8 0.0 0.8 0.8 0.0 -0.8 1.2 -0.8 -0.8 0.4 0.4 -0.4 0.4 0.4
## [1513] -0.4 0.8 -0.4 0.4 0.4 1.6 0.4 1.6 1.2 0.4 -1.2 -0.4 0.0 0.4
## [1527] -0.4 0.4 -1.6 -0.4 0.4 -0.4 -1.2 0.0 0.0 -0.4 1.6 -0.4 -0.8 -0.4
## [1541] -0.4 0.4 -0.4 0.8 -0.8 0.0 -2.0 -0.8 1.2 -0.4 0.4 -0.8 -0.4 0.0
## [1555] 0.0 0.8 0.8 -0.4 0.4 0.4 -0.8 2.4 0.8 -0.4 1.2 -0.4 0.8 -0.4
## [1569] 0.8 1.6 0.0 0.4 0.4 0.4 -0.8 -1.2 -1.2 1.6 0.4 0.0 0.4 -0.4
## [1583] -0.8 0.8 -0.4 -0.4 0.4 -0.4 0.0 -0.4 -0.8 1.2 0.4 -0.4 0.8 2.0
## [1597] 0.0 0.0 0.0 -0.4 0.0 0.0 -0.4 0.8 0.4 0.8 1.2 -1.6 0.4 0.4
## [1611] 0.0 1.6 0.0 1.6 0.4 0.4 -0.4 1.2 0.0 -0.4 0.4 -0.8 0.0 -0.8
## [1625] 0.0 -0.8 0.0 0.4 -0.4 -1.2 -1.2 1.6 0.0 0.0 0.0 0.0 0.4 -0.4
## [1639] -1.2 0.0 -1.2 0.4 0.8 1.2 0.0 -2.0 0.0 -0.8 -0.4 -0.4 -0.4 0.4
## [1653] -1.6 0.8 0.0 1.2 0.8 -0.4 0.0 1.6 0.0 -1.2 0.8 -0.4 -0.4 0.4
## [1667] 0.8 0.8 0.0 -0.4 -0.8 -0.8 0.0 -0.8 0.4 0.8 0.4 -1.6 -0.4 0.4
## [1681] 0.4 -0.4 0.4 0.0 0.8 -1.2 0.0 0.8 1.2 1.6 0.8 0.4 -1.6 -1.2
## [1695] 0.0 0.4 2.0 2.4 -0.4 0.4 -0.8 -0.8 -1.2 0.8 -0.4 1.2 -1.2 1.2
## [1709] 0.4 -0.8 -0.4 0.8 0.4 -0.8 0.4 0.0 0.0 0.0 -0.8 -1.2 1.6 -1.2
## [1723] -1.2 -0.8 0.4 -0.4 -1.6 -0.8 -1.6 0.8 -0.8 0.8 1.6 0.0 0.0 0.4
## [1737] 0.0 -0.4 1.2 0.4 0.4 0.0 0.0 -1.6 -1.2 0.4 -0.4 -1.2 -1.2 0.4
## [1751] -0.4 -0.4 0.4 0.4 0.0 0.4 -0.8 0.8 -0.4 -0.4 -0.4 -0.4 0.8 0.0
## [1765] -0.4 1.6 0.0 1.2 -0.4 2.4 0.0 1.6 -0.8 -0.4 0.0 -1.2 0.4 -0.8
## [1779] -0.8 -0.8 0.0 -0.8 0.8 0.4 -0.8 -0.8 -0.4 -1.2 0.0 0.4 0.4 -0.8
## [1793] 0.4 0.0 -0.4 0.8 0.0 0.8 -1.2 -0.8 0.0 -0.4 -0.4 0.0 0.4 -0.8
## [1807] -0.4 0.8 -0.4 -0.4 0.0 0.4 1.6 0.4 0.8 0.4 1.2 0.4 -0.4 0.0
## [1821] 0.4 -1.2 -0.8 -1.2 -0.8 0.8 -1.6 -0.8 -0.8 -0.4 0.8 0.0 0.0 0.0
## [1835] -0.4 1.2 0.0 -1.2 1.2 0.4 -0.4 0.0 0.4 -0.8 1.6 -1.2 -0.8 -1.6
## [1849] 0.8 0.0 -0.8 -0.8 0.4 0.4 -0.8 0.0 0.8 0.4 1.6 0.0 1.6 0.8
## [1863] 0.4 -1.2 0.4 0.0 -1.2 -0.4 0.4 0.8 -0.4 0.0 1.2 -0.4 0.8 0.0
## [1877] 0.8 -0.4 -0.8 -0.4 0.4 0.0 0.8 1.2 -0.4 -0.4 0.0 -0.8 -0.8 -0.4
## [1891] -0.4 -0.8 0.4 0.4 0.4 -0.4 -0.8 -0.4 -0.8 0.0 -0.4 -0.8 -0.4 0.4
## [1905] -1.2 -0.4 0.8 2.4 -0.4 -0.4 -0.4 0.8 -0.4 -0.8 0.4 0.4 -1.6 0.4
## [1919] 1.2 -0.4 0.0 0.4 0.8 1.6 -0.8 0.4 -0.8 -0.8 0.0 -2.4 -0.8 -0.4
## [1933] -1.2 0.0 -1.2 1.6 1.6 0.0 -0.8 -0.8 1.6 -0.4 -0.4 -0.4 0.4 0.0
## [1947] 0.8 1.6 0.8 0.0 -0.8 1.6 -1.2 0.4 -0.4 -0.4 1.2 -0.4 -0.4 0.0
## [1961] 1.6 1.6 0.0 0.0 0.8 0.4 0.8 0.0 -0.4 -1.6 0.4 -0.4 0.4 -1.2
## [1975] 0.8 0.4 1.6 0.4 2.4 -0.4 0.8 -1.6 0.4 -0.4 1.2 0.4 -1.6 1.2
## [1989] 0.0 -0.4 -1.2 0.8 0.8 0.4 -0.8 2.0 0.8 -2.0 0.4 0.4 1.6 0.4
## [2003] 1.6 0.8 -1.2 0.4 1.2 -0.4 -0.4 0.4 0.0 0.4 0.4 0.8 -0.8 0.4
## [2017] 0.0 -1.6 0.0 1.2 -0.4 2.0 1.2 -0.4 0.0 0.8 -1.2 -0.4 0.0 0.4
## [2031] 0.8 0.4 -1.6 0.0 0.4 1.6 -0.4 -0.4 0.0 -0.8 -0.4 0.8 -0.8 0.4
## [2045] 1.2 -1.2 -1.2 1.2 0.8 -0.4 -0.4 0.0 0.0 2.0 -0.8 -1.2 0.0 0.4
## [2059] 0.0 0.8 -0.8 0.0 0.4 -0.8 0.0 1.2 0.4 0.4 0.8 -1.2 -0.8 -0.4
## [2073] 0.4 -0.8 0.4 -1.6 -0.8 1.2 0.8 0.0 0.4 1.2 0.8 -0.8 -0.4 0.4
## [2087] 0.4 -0.8 -1.6 1.2 -1.6 0.4 0.0 1.2 -0.4 -0.4 0.0 0.8 0.0 0.4
## [2101] 1.2 0.8 0.4 0.4 0.0 -1.6 0.0 0.0 -0.8 0.8 0.0 0.4 -0.8 1.6
## [2115] -0.4 -0.4 0.0 -0.4 0.0 0.4 0.4 0.0 0.8 0.4 0.4 0.4 0.8 1.6
## [2129] 0.0 0.0 -0.4 0.4 -0.8 -1.6 -1.2 -0.8 -0.8 -1.6 0.8 1.2 -1.6 0.0
## [2143] 0.4 -1.2 0.4 0.0 1.2 0.4 0.4 0.0 -0.4 1.2 0.4 -0.4 0.0 0.4
## [2157] 0.4 -1.6 0.4 -1.2 -1.2 0.0 -0.8 0.0 0.4 -1.6 0.0 -0.8 0.0 -1.6
## [2171] 1.6 -1.6 1.6 0.8 -0.8 0.8 -0.4 0.4 -0.8 0.0 0.8 -0.8 -0.8 -0.4
## [2185] -0.4 0.4 -0.4 -0.8 0.0 0.4 0.0 -0.8 -1.6 2.4 0.4 0.0 0.4 -0.8
## [2199] 0.4 1.2 0.0 -0.4 0.4 -0.4 0.8 0.8 -1.2 1.2 0.0 -0.4 -0.4 1.2
## [2213] 1.6 -0.4 0.0 -0.8 -0.8 1.6 -1.2 0.4 -0.8 -0.4 0.0 -1.2 0.0 -1.2
## [2227] -0.8 -0.8 1.6 -0.8 -0.8 2.4 0.4 0.8 0.8 0.4 -1.6 0.8 0.8 0.8
## [2241] 0.4 0.4 0.8 0.4 0.0 -0.8 -0.4 -0.4 0.8 1.6 -1.2 -0.4 0.4 -0.4
## [2255] 0.4 0.4 0.4 0.4 0.8 0.4 -0.8 0.4 0.0 0.4 0.4 -2.0 0.4 0.0
## [2269] -1.6 0.4 0.4 0.0 0.8 0.0 0.8 -1.6 -2.0 0.8 -0.4 -0.4 -0.4 0.0
## [2283] -0.8 0.0 0.8 0.0 0.4 0.0 2.0 1.2 -0.4 -0.4 0.8 0.0 0.0 -1.2
## [2297] -1.6 -0.8 1.2 -1.2 0.4 -0.4 -1.6 2.0 -0.4 1.2 -0.4 -0.4 0.4 -1.6
## [2311] -0.4 0.0 0.8 -0.4 0.4 -1.6 -0.4 0.8 -0.8 0.8 0.4 -0.4 1.2 1.2
## [2325] 0.4 0.4 -0.4 0.0 -1.2 -0.8 0.4 0.8 0.0 -0.8 -0.4 0.8 -0.8 -0.8
## [2339] 0.8 -1.6 0.4 -1.6 -0.8 -1.6 -0.4 0.4 -0.8 0.4 -1.2 0.8 1.2 -1.2
## [2353] 1.2 0.0 -1.2 -0.8 1.6 -1.6 0.0 1.2 0.4 -0.8 -1.6 0.4 0.8 0.0
## [2367] 0.0 -0.4 -0.4 -1.2 0.4 0.4 0.0 -0.4 -0.8 -0.4 -0.4 -1.6 0.4 -0.4
## [2381] 0.4 0.4 0.8 -1.6 0.4 -1.2 0.4 1.6 -0.4 1.2 1.6 0.4 -0.4 -1.6
## [2395] 0.0 0.4 -0.4 0.4 -0.8 0.8 -1.6 1.2 1.6 1.2 -0.8 -0.4 -1.2 -0.4
## [2409] -0.8 0.8 -1.2 -0.4 -0.8 -1.2 0.8 0.4 0.4 0.4 0.8 0.4 0.8 2.4
## [2423] 0.4 0.4 1.6 0.4 0.0 -0.8 -0.4 -0.4 -1.2 0.8 0.4 -0.4 -0.4 0.0
## [2437] -0.8 0.4 0.8 -0.4 0.8 -2.0 1.2 0.8 -0.8 -1.2 0.0 -1.2 -0.4 -0.4
## [2451] -0.4 -0.8 0.4 -0.8 -0.8 1.6 -0.8 0.0 0.4 1.2 1.2 0.0 -0.4 -1.2
## [2465] -0.4 -0.4 1.2 1.2 0.4 0.0 0.4 0.4 0.4 -0.4 0.8 -0.8 -0.8 -0.8
## [2479] -0.4 -0.4 1.6 0.4 0.4 0.4 0.8 -0.4 0.8 1.6 0.8 0.8 0.4 0.8
## [2493] -1.2 0.0 0.4 0.4 -1.2 0.4 0.0 0.0 -0.8 0.4 0.8 0.4 0.0 -0.8
## [2507] 0.0 -0.8 0.0 -0.4 0.4 -1.6 -0.4 0.0 0.0 1.6 0.4 -1.2 -0.4 -0.4
## [2521] 1.6 -0.4 2.4 0.0 -0.4 1.2 0.4 0.4 -1.2 0.4 -0.4 -2.0 1.2 0.4
## [2535] -0.8 0.0 0.0 -1.6 0.4 1.2 0.8 -0.4 -1.2 -1.2 -0.4 0.0 0.8 -0.8
## [2549] 0.8 0.4 1.6 -0.4 0.8 -1.2 1.2 -1.6 0.8 1.2 0.4 1.2 0.4 0.4
## [2563] 0.8 -1.6 -1.2 0.4 0.4 -0.8 0.4 0.8 -0.4 0.8 -0.4 0.8 1.2 0.8
## [2577] -1.6 0.4 0.0 -0.4 -0.4 -0.8 -0.4 0.4 2.4 0.4 -0.8 -0.4 0.4 -2.4
## [2591] -0.4 0.8 0.4 -0.4 0.4 -2.0 0.0 -1.6 -0.8 -1.2 0.0 0.8 -2.4 -0.4
## [2605] 0.4 0.4 -0.4 0.4 0.0 -0.4 -0.4 1.6 1.2 -0.4 0.8 0.4 -1.6 0.4
## [2619] -0.8 -1.6 -0.8 -1.6 -0.4 0.8 -0.8 0.4 1.2 -1.6 0.8 0.8 0.4 0.0
## [2633] 0.4 -1.6 0.4 -0.4 0.8 0.4 -0.4 -1.6 -0.4 0.8 0.0 0.4 -0.8 1.2
## [2647] 0.4 0.4 -1.2 0.4 0.8 0.4 1.2 1.2 -2.0 -0.4 0.4 -1.2 -0.4 0.4
## [2661] 0.8 -0.4 0.4 0.8 0.4 0.4 -1.6 -0.4 0.4 -0.4 -0.4 0.4 -0.8 -0.4
## [2675] 0.0 -0.4 -0.4 0.8 -0.8 -0.8 0.0 0.4 -1.6 0.8 -0.4 0.8 0.0 -1.6
## [2689] 0.8 -1.2 -0.4 -2.4 -0.4 -0.4 1.6 0.0 -0.4 0.4 2.0 0.4 1.2 -0.8
## [2703] -0.4 -0.4 1.2 1.6 -1.6 -0.4 0.0 -0.8 -0.4 0.4 0.4 -1.6 0.0 -0.4
## [2717] 0.4 -0.4 -1.2 0.4 0.4 0.8 2.4 -1.2 -0.8 0.4 0.8 -0.8 -1.2 -0.4
## [2731] -0.4 -0.8 0.0 0.4 0.4 1.6 0.8 0.0 -1.2 0.0 -0.8 -1.2 -0.8 0.4
## [2745] -0.4 0.8 1.6 -0.4 -0.4 0.4 -0.4 -0.4 0.4 0.8 -0.8 -0.8 -0.8 -1.6
## [2759] 0.0 -0.4 1.6 0.0 -2.0 -0.8 -0.8 0.8 -0.8 0.0 1.2 -0.4 -1.6 -0.8
## [2773] -0.8 0.8 1.2 -0.8 0.4 0.4 0.0 -1.2 -0.4 -0.4 0.8 -0.8 0.8 0.0
## [2787] -1.2 -0.4 0.0 -1.6 0.0 0.4 -0.4 -0.8 -0.4 2.0 -2.0 0.4 -0.4 -0.4
## [2801] -0.8 -0.8 1.2 0.4 -0.4 -0.4 -1.6 0.4 0.0 0.0 -0.4 0.8 -0.4 0.4
## [2815] 1.2 -0.8 1.6 -0.4 -1.2 0.8 -1.6 0.8 -1.6 0.8 0.4 0.4 -1.2 -0.4
## [2829] -0.4 0.4 1.2 0.8 -1.6 0.8 -1.2 0.0 -0.4 0.4 0.0 -0.4 0.8 -0.4
## [2843] -0.4 -0.4 0.4 -1.6 2.4 0.8 0.4 -0.8 -1.2 -0.8 0.4 -1.2 -0.8 -0.4
## [2857] -1.6 0.4 0.4 1.2 0.8 0.8 -0.8 0.4 -0.4 -0.4 -0.4 -0.4 -0.8 -0.4
## [2871] -1.2 0.4 -1.6 -0.4 -1.2 -2.0 2.0 0.4 -0.8 0.8 -0.8 -0.4 -0.4 -0.4
## [2885] 0.8 -2.4 -0.8 -0.4 0.8 0.0 0.8 -0.4 0.4 -0.8 0.4 1.2 -1.6 -2.4
## [2899] 0.0 0.4 0.4 0.8 0.4 0.4 0.4 0.4 0.8 1.6 0.0 -0.8 0.8 -0.4
## [2913] 1.2 0.4 -0.8 0.0 -0.4 0.0 0.0 0.0 -0.4 -0.8 -1.6 0.8 -1.2 -1.2
## [2927] 0.4 1.6 -0.4 1.2 -1.2 -0.4 -0.4 -0.4 0.4 0.0 -0.8 0.8 -0.8 0.4
## [2941] 0.8 1.6 1.6 -0.4 0.0 -0.4 -0.4 -0.8 -0.4 0.0 0.4 0.8 0.0 0.4
## [2955] 0.4 -1.2 0.0 1.6 -0.8 0.0 -0.4 -0.4 0.4 -1.6 -0.4 0.8 -0.8 -0.4
## [2969] -1.2 0.8 -0.8 0.4 1.2 0.0 0.8 0.0 -0.8 -0.8 0.4 0.0 1.6 -0.8
## [2983] 0.0 0.0 0.8 -0.8 0.8 0.4 0.4 1.2 -0.4 -0.8 0.4 1.2 1.6 0.8
## [2997] 1.6 -1.2 0.4 0.8 0.4 -0.4 0.0 -0.8 -1.6 0.0 -0.4 1.6 -0.4 1.6
## [3011] -0.4 -0.4 0.8 -1.2 -0.4 1.6 0.0 -1.2 -1.6 0.4 -1.2 0.4 -1.2 0.4
## [3025] 0.4 0.4 -0.4 0.8 -0.8 -1.2 0.4 -0.4 1.6 0.8 0.0 1.6 -0.4 -1.2
## [3039] -0.4 -1.2 -1.2 0.4 -1.6 0.4 -0.4 0.8 0.4 0.4 0.0 -0.8 1.6 -1.6
## [3053] 0.4 -0.8 0.4 -0.4 0.0 0.8 -1.2 -1.6 -1.2 -0.4 -1.2 0.4 -1.6 -0.8
## [3067] -0.8 1.6 1.2 0.0 -0.4 -0.8 0.0 -0.8 0.8 0.0 1.2 -0.8 0.4 -1.2
## [3081] 0.4 -0.4 0.0 -1.6 -1.2 0.4 0.8 0.8 -1.6 0.0 0.0 0.4 0.8 0.8
## [3095] 1.2 0.4 -1.2 0.8 0.8 0.8 0.8 0.4 0.4 -0.8 0.4 1.2 -0.4 0.8
## [3109] 0.8 0.4 0.4 -0.4 2.0 0.8 -1.6 -0.4 2.4 0.4 -0.4 0.4 0.0 0.4
## [3123] 0.8 0.4 -0.4 0.4 0.0 0.0 -0.4 0.0 1.6 0.0 0.8 -1.6 0.4 -0.4
## [3137] 0.8 0.4 0.0 0.0 0.8 0.8 -2.0 0.8 -0.8 -1.6 -0.8 -1.6 -0.4 -2.4
## [3151] -1.6 -0.8 -1.6 -0.4 -0.4 0.0 0.0 0.4 -0.4 1.6 -0.8 1.2 0.4 0.4
## [3165] -0.8 -0.8 -2.4 0.8 0.4 -0.8 -0.8 -0.8 -0.4 -0.8 0.0 1.2 0.4 0.0
## [3179] -0.4 -1.2 -0.8 0.4 0.8 -1.2 -0.8 -0.4 0.0 -0.8 0.0 -0.4 1.2 -1.6
## [3193] 0.4 -1.2 1.6 0.0 0.0 0.4 -0.8 0.4 0.4 -1.2 0.0 0.4 1.2 1.2
## [3207] -0.4 0.8 0.4 -0.4 0.8 0.4 1.6 -1.6 -0.8 -0.8 -1.2 0.4 0.4 0.4
## [3221] 1.6 1.6 0.8 0.4 0.4 -0.4 -1.6 0.0 0.8 0.4 2.4 0.4 0.4 0.4
## [3235] 0.4 0.4 -1.2 0.4 0.8 -0.8 -0.8 -0.4 0.4 0.0 0.4 -0.4 1.2 0.0
## [3249] -0.4 -0.8 0.0 1.2 0.0 -0.4 0.4 0.0 0.8 1.2 -1.6 -1.6 0.8 -0.8
## [3263] -0.8 0.4 -0.4 -0.8 -0.4 0.8 -0.4 -0.8 -0.4 -2.4 0.4 0.8 -1.6 0.0
## [3277] 1.6 0.0 1.2 0.8 0.0 1.2 -2.0 0.0 0.0 -1.2 0.8 0.0 -0.8 -0.8
## [3291] -1.6 2.4 0.4 -0.8 0.0 0.4 1.6 0.4 -1.6 -1.2 -1.6 0.8 1.2 0.4
## [3305] 0.4 0.8 -0.4 -1.6 1.6 0.8 -1.6 0.4 0.0 -1.2 -0.4 0.4 0.8 0.4
## [3319] -0.4 0.0 2.0 1.6 0.4 0.4 -0.4 -1.2 0.0 0.4 0.4 0.4 1.2 0.4
## [3333] -0.8 1.2 -0.4 0.4 -0.4 -1.2 -0.8 0.0 -0.8 0.8 0.0 0.4 0.4 -0.4
## [3347] -1.6 -0.8 0.0 -2.4 -0.8 0.4 0.8 0.8 -0.4 0.4 0.4 -0.8 -0.8 0.8
## [3361] -0.4 0.0 1.6 -0.4 -0.4 0.8 0.8 0.0 -0.4 -0.4 0.4 0.4 0.4 -1.2
## [3375] -1.2 1.6 -1.6 1.2 -0.4 1.2 0.4 -0.8 0.8 -0.4 0.4 0.4 -0.4 0.4
## [3389] 0.8 -0.4 -0.8 -0.8 0.0 1.6 0.4 0.0 -0.4 0.0 1.2 0.0 0.0 0.0
## [3403] -0.8 -0.8 0.8 0.4 0.4 0.4 0.8 -0.8 0.0 0.4 -0.8 1.2 -0.4 -0.4
## [3417] 0.4 1.6 1.6 0.4 0.4 -0.8 0.0 1.6 -0.4 -0.8 0.0 0.0 1.6 2.0
## [3431] 0.0 1.2 -1.2 0.4 0.0 -0.8 -0.4 0.0 0.4 0.0 -1.6 1.2 2.0 0.4
## [3445] -0.4 -0.4 1.6 0.4 -0.4 -0.4 -0.4 0.0 0.0 -0.4 0.4 -1.2 1.6 1.2
## [3459] 0.8 -0.4 0.4 0.4 1.2 0.8 1.6 0.4 -0.4 -0.4 -0.4 1.6 -0.4 2.0
## [3473] -0.4 -0.4 -1.6 0.4 0.4 -1.2 1.2 0.0 0.0 -0.4 0.8 0.4 -0.8 -0.4
## [3487] 0.4 1.2 -0.8 -1.2 -0.4 -1.6 -0.4 -1.6 1.2 -0.8 -0.4 0.4 0.8 0.4
## [3501] 0.8 -0.4 0.8 0.0 -0.8 0.8 -0.4 -0.4 -0.4 0.4 0.4 -0.4 -0.8 0.8
## [3515] 0.4 2.4 0.0 -1.2 0.4 -0.8 0.4 0.0 -0.4 0.4 0.0 -0.4 0.8 -0.4
## [3529] -0.4 -0.8 -0.4 -1.6 -0.4 1.6 0.0 -0.8 1.6 1.6 -0.8 -0.4 -0.4 -0.4
## [3543] 0.8 1.2 -0.4 0.4 0.4 -0.8 0.4 -1.2 1.6 0.4 0.4 0.4 0.4 0.4
## [3557] -0.8 -0.8 1.2 -0.4 -0.4 -0.4 -0.4 -0.4 0.4 -0.4 -0.8 0.8 0.4 0.8
## [3571] 0.4 -0.4 0.4 0.8 -0.8 0.0 -0.4 1.6 0.8 -1.2 1.2 1.2 -0.8 1.2
## [3585] 1.2 -0.4 -0.4 -1.6 -0.4 1.2 0.0 1.6 -0.4 0.8 -0.8 0.4 2.0 -0.4
## [3599] 0.0 0.4 0.0 0.0 0.8 0.0 0.8 0.8 -0.4 0.4 -0.4 1.2 0.8 0.8
## [3613] 0.4 1.2 0.4 -0.4 -1.2 0.4 0.8 -0.4 -1.6 1.6 -0.8 -0.4 -1.6 0.4
## [3627] 0.8 0.0 0.8 -0.4 0.8 -0.4 1.2 -1.2 -0.8 0.0 -0.8 0.0 0.4 0.4
## [3641] 0.4 0.4 0.8 0.0 0.0 -0.4 -0.4 0.0 0.4 1.2 2.0 0.0 -0.4 1.6
## [3655] 1.6 -0.8 0.4 0.0 0.4 0.0 -0.4 -0.8 0.8 -0.4 -0.4 -0.4 -0.4 0.4
## [3669] 0.0 0.4 -0.4 -0.4 1.6 0.8 2.4 -1.2 -0.4 0.8 0.4 0.4 0.4 0.4
## [3683] -0.8 -0.4 -0.4 -0.4 0.8 0.8 -0.4 -2.4 2.0 0.0 -0.8 0.4 0.4 0.4
## [3697] -0.8 -0.4 0.0 0.8 -0.8 0.4 -1.6 0.4 0.4 0.0 -0.4 1.6 -0.8 0.4
## [3711] -1.2 0.4 -0.4 -0.4 -0.8 0.8 -0.4 -0.8 -0.4 0.0 0.4 -0.8 1.6 0.4
## [3725] 0.0 -0.4 0.0 0.4 -1.2 -0.8 -0.8 -0.4 0.0 -0.8 -0.8 -1.2 0.4 0.4
## [3739] 1.6 1.2 0.4 0.0 0.0 -0.4 1.2 0.0 0.4 0.8 1.6 1.2 -1.6 0.0
## [3753] 0.4 0.8 -0.4 0.8 -0.4 -0.8 1.6 -0.8 -0.4 -0.4 -0.4 -0.4 0.4 -1.6
## [3767] -0.4 0.4 0.4 -1.2 -0.8 -0.4 -1.2 0.0 -0.8 -0.4 0.8 -0.4 0.8 0.4
## [3781] -0.4 0.4 0.8 0.4 -0.4 0.4 -0.4 -1.6 -1.2 -0.4 0.8 2.0 -1.6 -0.8
## [3795] 0.4 -0.4 -1.6 0.0 1.6 0.0 -1.2 0.8 1.6 0.8 -0.4 -0.4 -1.2 1.6
## [3809] -0.8 -0.4 0.8 0.8 0.0 -0.8 -0.4 0.0 0.0 0.0 -0.4 1.2 0.4 -0.4
## [3823] 0.0 0.0 -0.8 0.4 -0.8 -0.8 -0.4 0.8 0.0 0.4 0.4 0.4 -0.4 -0.4
## [3837] 0.0 0.4 -1.2 -0.8 0.4 1.2 0.0 1.6 0.8 -0.4 0.4 0.4 -0.4 -1.2
## [3851] -0.4 1.2 -1.2 1.6 1.6 0.0 0.4 -0.8 -0.4 0.4 0.0 2.0 1.2 -0.4
## [3865] -1.2 -0.8 1.6 1.2 0.8 0.4 -0.8 0.4 2.0 1.6 0.4 0.0 -0.8 0.8
## [3879] 0.4 -1.2 -0.4 0.4 -0.4 -0.4 -0.4 1.6 -1.2 1.2 -1.6 0.4 0.0 0.4
## [3893] 1.2 1.6 0.0 0.0 -1.2 0.8 -0.4 0.8 -0.4 -1.6 0.8 0.0 -0.4 0.8
## [3907] -0.4 0.4 0.0 0.4 0.4 0.4 -0.8 -0.4 1.2 1.2 0.8 1.6 0.8 1.6
## [3921] 0.8 0.0 0.4 0.4 0.0 1.6 0.8 -0.8 1.6 0.0 0.4 0.4 0.0 0.4
## [3935] 0.0 -2.0 1.6 -1.2 0.8 -0.4 0.4 -0.8 -0.4 -0.4 0.8 0.0 0.8 0.0
## [3949] -1.2 -1.2 0.0 -1.2 0.4 0.0 1.2 0.0 -0.8 1.6 0.0 0.4 -0.4 0.4
## [3963] -0.4 0.4 -0.8 1.2 1.6 0.4 0.8 -0.4 0.4 0.4 -0.4 0.4 -0.8 0.0
## [3977] 0.8 0.4 1.2 -0.8 0.8 -0.4 -0.4 0.0 0.0 -0.8 0.0 -2.4 -1.6 0.8
## [3991] 1.2 -1.6 0.0 0.4 0.4 -0.4 0.8 0.4 -0.4 -0.8 0.0 0.4 0.4 0.0
## [4005] 2.0 0.0 -1.6 -0.4 -1.2 -0.8 -0.4 0.8 0.0 0.4 1.2 0.4 -0.8 -0.8
## [4019] -1.2 0.0 -0.4 1.2 -1.2 0.0 0.8 0.4 0.4 0.0 0.4 -0.4 0.8 1.2
## [4033] -0.8 0.8 1.2 -1.6 0.0 0.0 0.4 0.4 0.8 -0.4 0.0 0.4 -2.4 0.0
## [4047] 0.4 -0.8 1.2 -0.4 0.8 -0.8 0.4 -1.6 -0.4 0.8 0.4 0.0 -0.8 -1.2
## [4061] 0.0 0.0 -2.0 -0.8 -1.2 0.4 0.0 1.6 -1.6 0.4 0.0 -0.8 0.4 0.4
## [4075] -0.4 -1.2 0.8 0.4 -0.4 0.0 1.2 -0.4 -0.4 -1.2 0.4 1.6 -0.4 0.8
## [4089] 0.4 0.0 0.8 -0.4 0.0 -0.8 -0.4 0.4 0.4 0.0 0.4 0.0 1.6 0.0
## [4103] 0.4 0.4 1.2 0.4 -0.8 1.2 -0.4 0.0 -0.4 0.0 -0.4 0.4 0.0 0.8
## [4117] 0.0 -0.8 0.4 0.8 -0.4 0.4 -0.8 -0.4 -0.4 0.4 0.8 0.0 0.0 -0.4
## [4131] 0.0 1.2 -0.8 -1.2 1.2 -0.4 -1.2 0.4 -0.4 -0.4 0.0 2.0 1.2 0.8
## [4145] -1.2 -0.4 -0.4 0.0 -1.2 -1.6 -0.4 -1.2 -0.8 0.8 -0.8 0.0 0.4 -0.4
## [4159] 0.4 1.2 0.0 1.2 0.8 -0.4 0.8 -0.8 -0.4 -1.6 0.8 0.4 -0.8 -0.8
## [4173] 0.4 -0.4 -0.4 0.4 -0.8 0.4 -0.8 -0.4 0.0 -0.8 0.4 0.0 1.2 0.0
## [4187] -0.8 0.4 0.4 0.8 0.4 -0.4 -0.4 0.8 0.0 0.0 1.2 0.8 -0.4 -0.4
## [4201] 0.0 0.4 0.0 0.0 -2.0 1.6 0.0 0.4 0.0 -0.4 0.4 0.4 -0.4 0.4
## [4215] 0.4 -1.6 0.0 -0.4 0.0 -0.8 0.0 -0.8 0.4 -1.2 0.0 -0.4 0.8 0.8
## [4229] 0.8 0.4 0.8 -0.4 0.4 1.2 0.4 -0.4 0.4 0.4 0.4 -0.4 -0.4 0.0
## [4243] 1.6 -0.8 0.8 -0.4 0.8 1.6 0.4 0.0 0.0 -0.4 0.0 -0.4 0.0 -0.4
## [4257] 0.8 1.6 0.4 0.0 -1.2 0.0 0.4 0.4 0.0 1.6 1.6 -0.4 -0.4 0.0
## [4271] 0.8 0.4 2.0 1.6 -0.4 -1.2 0.8 1.6 1.6 0.4 1.6 1.6 -0.8 -0.4
## [4285] 0.4 -0.8 0.8 -0.4 0.8 0.4 0.4 -1.2 0.0 -0.4 -0.8 0.4 0.0 -0.4
## [4299] 0.0 0.0 -0.4 -0.4 -1.2 1.2 -0.4 0.8 -1.6 -0.4 1.6 0.8 0.4 -1.2
## [4313] -0.8 -1.2 0.0 1.2 0.4 0.0 0.4 0.0 0.4 0.0 -0.4 0.8 0.8 0.4
## [4327] -0.8 -0.8 0.0 0.0 -0.4 0.4 -0.4 1.6 -0.8 -0.4 -1.2 0.4 0.0 -0.4
## [4341] -1.2 -1.6 -1.2 -0.8 0.0 2.0 -0.8 -0.4 -1.6 1.2 0.0 -0.4 0.0 -0.4
## [4355] 0.4 1.2 -0.8 0.0 1.6 -0.4 -0.4 -1.2 -1.6 0.4 -0.4 -1.6 2.4 -0.4
## [4369] -0.4 -1.2 -0.8 -0.4 1.6 -0.4 -0.4 0.8 0.4 -2.0 0.4 0.4 -2.0 -0.4
## [4383] -0.4 0.4 0.8 0.4 -1.6 0.0 -0.4 -1.2 0.0 -0.4 0.8 0.8 0.4 -1.2
## [4397] -0.4 0.4 0.4 -0.8 -0.4 0.8 -1.2 -1.2 -0.4 0.0 -0.4 -0.8 0.4 -1.2
## [4411] 0.8 -1.6 0.8 -0.4 -0.4 0.4 -0.8 -1.2 0.4 -1.6 1.6 0.0 0.8 0.4
## [4425] -0.4 -0.4 0.4 -1.2 -0.8 0.4 -1.2 -0.8 -1.2 0.4 0.4 -0.8 -0.8 -0.4
## [4439] -0.4 0.0 1.6 0.4 -0.8 -0.4 -0.8 0.4 0.8 -0.4 -0.8 -1.2 -1.6 -0.4
## [4453] 0.8 0.8 -1.2 -0.8 -1.2 0.4 0.0 1.6 0.4 0.4 -0.4 1.6 0.4 -0.4
## [4467] 0.0 -0.4 0.0 0.8 0.4 0.0 -1.2 0.0 -0.4 0.0 1.6 0.0 -0.8 0.4
## [4481] -0.8 -0.4 1.2 -0.8 0.4 -1.2 0.4 0.4 -0.4 0.0 0.4 -0.4 -0.8 -1.6
## [4495] 0.0 -0.8 -0.4 0.8 -0.4 0.8 0.0 -1.2 -1.2 -0.8 2.4 -1.6 0.8 0.8
## [4509] 0.8 0.0 -0.4 0.0 0.4 -1.2 0.0 0.0 -1.6 1.6 -0.4 0.4 0.8 -0.4
## [4523] -0.4 0.0 1.6 0.0 0.8 -0.4 -0.4 0.8 0.4 0.8 -0.8 -0.8 -0.8 0.4
## [4537] 1.2 0.0 -2.4 -0.8 0.0 1.2 0.0 -0.4 -1.2 0.0 0.8 0.8 -0.4 0.4
## [4551] 0.4 0.8 0.0 0.4 -1.6 0.0 -0.4 0.0 -0.4 0.4 -1.6 1.2 -0.4 0.0
## [4565] -0.4 0.0 0.4 -0.4 -0.4 1.6 0.0 0.0 -1.2 0.8 0.4 1.2 0.8 -0.4
## [4579] -0.4 0.4 0.4 0.8 0.8 0.0 0.4 -1.2 0.8 1.6 -0.8 0.4 0.4 0.4
## [4593] 0.4 1.6 0.8 -0.4 0.8 -2.0 -0.8 0.0 -0.8 0.8 -0.4 -0.4 -0.4 0.0
## [4607] -0.8 0.0 -2.4 0.8 0.4 -0.4 -0.4 -0.8 -0.4 0.0 0.4 0.4 0.8 -0.8
## [4621] 0.4 0.4 0.4 -0.4 1.2 0.8 -0.4 -0.4 0.8 -0.8 -1.2 0.8 0.4 0.0
## [4635] 0.8 -1.2 -0.4 0.8 -0.8 -0.4 1.6 -0.4 0.4 0.0 -0.8 -1.2 1.6 -0.8
## [4649] 1.2 -0.8 0.0 -1.2 0.0 -2.0 0.8 -2.4 0.8 -0.4 -0.4 -0.8 -0.8 -1.2
## [4663] 0.0 0.8 0.8 0.0 0.4 -0.8 -0.4 0.8 -1.6 0.0 0.8 0.0 0.4 -1.6
## [4677] -1.6 -0.4 1.2 -0.4 -0.8 1.6 -0.8 0.0 -1.2 -0.8 -1.2 0.4 0.0 -1.2
## [4691] -0.4 -0.4 0.4 0.4 0.0 0.8 0.8 0.4 -0.4 -0.8 1.2 1.2 0.8 -0.8
## [4705] 0.4 -1.2 0.0 0.8 1.6 0.0 -0.8 0.4 1.2 0.0 -0.4 0.4 -0.4 -0.4
## [4719] -0.4 0.4 0.4 -0.8 0.8 0.8 1.6 -1.2 0.0 -0.8 -0.4 1.2 -0.4 0.8
## [4733] -0.4 -0.8 -0.4 -0.8 -0.8 0.8 1.6 -0.4 0.0 -0.8 1.6 -0.4 -0.8 0.4
## [4747] -0.8 -1.2 0.0 1.2 0.4 0.8 -0.4 -0.8 0.0 -0.8 0.0 0.8 -1.2 0.8
## [4761] -0.8 0.0 0.4 -0.8 0.0 -0.4 -0.4 -0.4 1.6 0.8 0.0 1.6 0.4 -0.4
## [4775] 0.0 0.4 -0.4 2.0 -0.4 -1.6 0.0 -0.8 0.0 0.4 0.4 -0.4 -0.4 -0.4
## [4789] 0.4 -1.6 0.4 -1.2 0.0 1.2 -0.4 -1.6 -0.4 -0.4 0.0 2.0 0.0 0.4
## [4803] 1.2 0.0 0.4 0.0 -0.4 0.0 0.8 1.2 0.4 1.6 -0.8 0.4 -0.4 -0.8
## [4817] -1.2 0.4 0.8 1.2 0.4 -1.2 0.0 -0.8 0.4 0.4 -1.2 -0.8 1.2 -1.6
## [4831] -0.4 -1.2 0.4 0.4 1.2 0.0 1.2 0.4 1.6 -0.8 -1.6 0.4 -0.4 0.4
## [4845] 0.0 0.8 0.0 -0.4 -0.4 -0.4 -0.4 0.0 -0.4 1.2 1.6 2.0 -0.8 0.4
## [4859] -0.8 0.4 -0.4 -0.4 0.4 0.8 -0.4 1.6 -0.8 0.8 -0.4 -0.8 0.4 -0.4
## [4873] 0.0 1.2 0.4 -0.8 -0.8 -0.8 0.0 -1.2 0.4 -0.4 -2.0 0.4 -0.8 0.8
## [4887] -0.4 -0.4 1.6 0.4 0.0 -0.8 0.0 -2.0 -0.8 -2.0 0.0 -0.8 -1.6 -0.4
## [4901] 0.4 -0.4 0.0 1.2 0.8 2.0 0.4 -0.8 1.6 0.0 0.0 0.4 0.0 -0.4
## [4915] 0.8 0.8 0.8 0.4 -0.8 0.0 -0.4 1.2 -0.8 -0.8 0.4 0.0 -1.6 0.0
## [4929] -0.4 -1.2 0.4 0.8 0.4 0.0 0.4 1.6 0.4 -0.4 0.0 0.8 0.4 0.8
## [4943] -0.4 0.8 0.0 -0.8 1.2 -0.4 0.4 -0.4 0.0 -1.2 0.0 1.2 -1.2 0.0
## [4957] -1.2 0.8 0.0 1.2 -0.8 0.4 0.0 -0.4 -0.4 0.4 0.8 -1.6 -0.4 0.4
## [4971] -1.2 -0.4 0.0 -0.4 -1.2 0.0 -0.4 0.8 -0.4 0.4 -1.6 -0.4 -0.4 0.0
## [4985] -0.4 0.4 0.0 -0.4 1.2 -1.6 -1.6 -0.4 0.0 0.8 0.0 0.4 -1.6 0.4
## [4999] 0.8 0.4 0.8 0.8 0.0 0.4 -0.8 -1.2 0.0 0.8 0.0 0.0 1.2 0.4
## [5013] -0.8 0.4 0.4 0.0 1.6 0.0 -0.4 0.4 -0.4 0.0 0.8 0.4 -0.4 1.2
## [5027] 0.8 0.0 -0.8 -0.8 -0.4 -2.0 -0.8 0.0 0.4 -0.8 0.8 1.2 0.4 0.0
## [5041] 0.4 -1.6 0.4 -0.8 -0.4 0.8 -0.8 1.6 -0.8 -0.8 2.4 0.4 0.4 -0.4
## [5055] -0.8 -1.2 0.0 -0.8 0.4 0.4 -0.8 1.2 1.6 2.4 0.4 0.0 0.8 -1.2
## [5069] 0.8 -1.2 -1.2 0.8 0.8 -0.4 0.8 -0.8 -0.4 0.4 0.8 0.8 0.4 0.8
## [5083] -0.8 -0.8 -0.4 0.4 -0.8 0.0 0.8 -0.4 -0.4 -0.4 -0.8 -0.4 0.8 -0.4
## [5097] -0.4 -0.8 0.4 0.8 -0.4 1.2 0.4 -1.2 1.6 1.2 -0.4 1.6 -0.4 0.4
## [5111] 1.2 -0.8 0.0 0.4 1.6 0.4 2.0 1.2 1.2 0.8 0.8 0.4 -0.4 0.4
## [5125] -0.4 0.0 0.4 0.0 0.4 -0.8 -0.4 0.8 -0.4 -0.4 -1.6 1.6 0.8 -0.8
## [5139] -0.4 0.4 1.6 0.8 1.2 0.8 -1.6 0.4 0.0 1.6 1.2 1.2 0.0 0.0
## [5153] -0.4 0.8 -0.8 1.2 2.0 -0.4 0.4 -1.2 0.4 -0.4 -0.8 0.8 -1.2 0.4
## [5167] -0.8 1.2 0.0 -1.2 0.0 0.4 0.4 0.0 -0.8 -1.2 1.2 1.2 0.0 -1.6
## [5181] -1.6 -0.4 -1.2 1.2 -0.4 0.4 -0.8 0.0 -1.6 0.0 0.8 0.8 -0.4 1.2
## [5195] -1.6 0.0 -0.8 0.8 1.2 1.6 -1.6 -0.4 0.8 -0.8 0.8 -0.4 -0.8 0.0
## [5209] -0.4 -0.8 0.4 1.2 -0.8 -0.4 -1.6 1.6 -0.4 0.0 0.4 -0.4 -1.2 0.4
## [5223] 1.6 2.0 0.4 0.8 -0.8 0.4 0.0 -1.2 -0.4 0.8 0.4 0.4 -1.6 0.0
## [5237] -0.8 1.6 -0.4 -0.8 -0.8 0.8 0.0 -0.4 -0.4 -0.8 0.0 -0.8 -0.8 -0.8
## [5251] 0.4 -0.4 0.8 -0.4 1.2 1.6 0.4 -0.8 0.8 0.0 0.4 0.4 0.4 -1.2
## [5265] 0.8 1.2 -1.2 0.4 0.4 1.2 1.2 0.8 0.4 1.2 -0.4 0.4 -1.6 0.0
## [5279] -0.4 -1.6 -1.2 -2.0 0.4 -0.8 0.0 -1.6 -0.8 0.4 0.0 1.2 0.4 0.4
## [5293] -0.8 -0.4 -1.2 -0.8 0.0 -0.8 0.0 0.0 0.8 1.2 0.0 -1.6 -0.4 0.8
## [5307] -0.4 -0.4 1.2 -1.2 1.6 0.4 -0.4 -1.2 -0.4 -1.2 -0.4 -0.4 1.6 -0.4
## [5321] 1.6 0.8 1.6 -0.4 0.4 0.8 -1.2 0.0 0.0 1.2 0.4 -0.4 -1.2 0.0
## [5335] 1.6 0.8 -1.6 1.6 0.0 1.2 -0.4 -1.6 -0.8 0.8 -0.4 -0.4 -0.8 -1.2
## [5349] -0.8 -0.8 -1.2 0.4 0.4 0.4 -0.8 -0.8 -0.4 1.6 0.0 0.4 -0.4 -0.4
## [5363] -0.4 2.4 1.6 0.4 -1.2 0.4 -0.4 0.0 1.2 0.8 0.0 -0.4 1.2 0.8
## [5377] 0.4 0.0 0.0 1.2 0.4 -1.6 1.2 0.0 -0.4 0.4 -0.8 0.4 0.0 0.4
## [5391] 0.0 -0.8 0.4 -0.8 0.8 0.8 0.8 -0.8 -0.4 0.4 0.8 0.4 -0.4 0.4
## [5405] 0.4 -0.4 1.2 -0.4 -0.4 -0.4 0.8 -0.4 0.4 0.0 1.6 0.4 -0.4 0.4
## [5419] 0.4 1.2 1.6 0.4 1.2 0.4 -0.4 0.4 -0.4 -1.6 1.2 -0.4 -0.4 0.4
## [5433] -1.2 0.8 1.2 -0.4 -1.2 -0.8 -1.2 -0.4 0.0 -0.4 0.4 -1.6 0.8 0.0
## [5447] 0.4 -0.4 -0.4 0.0 1.6 -0.4 -0.4 0.4 -1.6 1.2 -0.4 -0.8 0.8 0.4
## [5461] -0.8 0.4 -1.6 0.4 1.2 0.8 1.6 1.2 -1.2 -0.4 -0.8 0.0 0.8 0.4
## [5475] -0.8 -0.8 0.4 0.4 -0.4 -1.6 0.0 1.6 -1.2 1.2 -1.2 -0.4 0.0 -1.6
## [5489] 0.4 -0.4 1.6 0.8 0.8 -0.4 0.4 0.8 0.8 -1.2 0.4 2.4 -1.2 -0.4
## [5503] -0.4 -0.4 0.4 0.4 0.0 -0.4 -0.4 0.8 -1.6 0.4 1.2 -0.4 0.0 0.4
## [5517] -1.6 0.8 -0.4 -0.4 -0.8 -0.4 -1.2 0.4 -0.4 -0.4 -0.4 -0.8 0.0 0.8
## [5531] 0.4 -1.2 -0.4 -1.6 0.4 0.4 -0.8 -0.8 0.4 0.4 0.0 -0.8 -0.4 0.4
## [5545] -0.4 0.4 -1.2 0.4 0.4 -0.8 0.4 -0.8 0.4 2.4 1.2 0.4 0.0 -2.0
## [5559] 0.8 1.2 0.4 -0.4 -0.8 -0.4 -0.8 0.4 1.2 0.4 -0.4 -1.6 -0.4 0.4
## [5573] 2.4 -0.8 1.6 0.8 0.8 -0.8 0.4 -0.8 0.0 -1.2 -1.2 2.4 0.8 -1.6
## [5587] 1.2 0.8 0.0 -0.4 1.2 -0.4 1.2 0.4 -0.4 -1.6 -2.4 -0.4 -1.6 1.6
## [5601] -1.6 1.2 -1.2 0.4 -1.2 -1.6 -1.2 0.0 0.8 -0.4 0.4 1.6 -0.4 0.4
## [5615] 0.4 0.4 -0.8 -0.8 0.0 0.4 -0.4 1.2 -0.8 0.0 0.4 0.4 -0.8 0.4
## [5629] 0.0 0.4 0.8 -0.4 0.0 0.8 1.2 -0.4 0.4 -1.2 -0.4 -0.8 -0.8 0.8
## [5643] -0.4 0.4 1.6 1.2 0.0 -0.8 0.8 0.0 -1.6 0.8 0.0 0.4 -1.2 -0.4
## [5657] -1.2 0.0 0.4 -0.4 2.0 0.0 1.2 -1.6 0.0 0.8 -1.2 -1.2 0.4 0.4
## [5671] -0.8 0.4 0.4 0.0 0.4 0.0 -0.8 0.0 -0.8 -0.4 0.4 -0.4 -0.4 0.4
## [5685] -0.8 0.0 -0.4 -1.2 -0.4 0.0 -0.8 0.8 0.8 0.0 0.4 0.8 0.0 -0.4
## [5699] -0.4 0.0 0.8 0.0 -0.8 -0.4 0.0 0.0 0.8 0.8 0.0 0.4 -2.4 1.6
## [5713] -0.4 0.4 1.6 2.4 0.8 0.0 -0.8 0.0 1.2 0.4 0.8 -0.8 0.8 0.4
## [5727] 1.6 1.2 0.8 0.4 0.4 0.0 0.4 0.8 0.0 0.0 -0.4 0.4 1.2 -1.2
## [5741] -0.4 0.4 0.0 0.8 0.4 -0.8 1.6 -1.6 -0.4 0.0 0.0 1.2 -1.2 -0.8
## [5755] -1.2 0.8 -1.6 0.4 0.4 -0.8 1.2 0.0 -1.6 -0.8 0.0 1.2 0.8 0.4
## [5769] 0.4 0.8 0.4 2.0 1.2 0.4 0.8 -1.6 0.4 0.0 -1.2 -0.4 -0.8 1.6
## [5783] -1.2 -0.4 0.4 0.4 -0.4 -0.8 -0.4 1.2 0.4 0.8 -0.8 -0.4 0.8 0.8
## [5797] 0.8 0.4 0.8 -0.4 0.4 -0.4 0.4 0.0 0.0 0.4 -0.4 0.4 -0.4 0.4
## [5811] -1.6 2.4 -0.4 1.2 1.2 -1.6 0.4 0.0 0.0 2.4 1.2 -0.4 -1.2 -1.6
## [5825] -0.4 1.6 -0.4 0.4 -0.8 0.8 -0.8 0.4 -1.2 -0.4 0.8 0.8 1.6 0.4
## [5839] 0.0 0.8 1.2 -0.4 1.2 0.0 -0.4 0.0 0.8 -1.2 -0.8 -0.4 -0.8 -1.6
## [5853] 0.0 -0.8 0.0 0.8 0.8 0.4 -0.4 0.4 -0.4 1.2 1.2 1.6 0.8 -0.4
## [5867] 0.4 -0.4 0.8 -0.4 0.8 -1.6 0.0 0.4 -1.2 0.8 1.6 -0.4 -1.2 0.0
## [5881] -2.0 -0.8 -1.2 -1.6 0.4 0.4 0.0 -0.4 -0.8 -1.2 -0.4 -0.4 -0.8 1.6
## [5895] -0.4 -0.4 0.4 0.4 -1.2 -0.4 -0.4 -0.8 0.0 -0.8 0.4 0.8 1.6 0.4
## [5909] 1.6 -0.4 -0.4 -0.4 1.6 0.8 0.0 0.4 0.0 -0.8 0.8 0.4 -0.4 1.2
## [5923] -0.4 -0.4 -0.4 1.2 0.4 0.4 -1.2 -0.8 1.2 0.4 0.0 -1.6 0.0 -0.8
## [5937] 1.6 -1.6 0.4 0.0 1.2 0.0 0.0 0.8 0.4 -0.8 -0.4 0.8 2.4 -0.4
## [5951] -0.8 2.0 0.4 0.8 0.4 0.4 -0.4 0.4 0.4 0.4 -1.6 -1.6 -2.0 0.8
## [5965] 0.4 0.4 -1.2 -1.2 -0.4 0.4 -0.8 0.8 0.4 0.8 -0.4 0.8 -0.4 0.4
## [5979] 0.8 0.8 1.2 0.4 -0.4 -1.2 -1.2 1.6 0.8 -0.8 -1.2 -0.4 0.4 -2.0
## [5993] -0.8 0.0 0.4 0.8 0.4 0.8 1.2 0.0 1.2 0.8 -0.4 -0.8 0.4 -0.4
## [6007] -1.2 -0.4 0.4 -0.4 0.8 0.4 0.0 -0.4 0.4 0.8 0.4 2.0 1.2 0.8
## [6021] -0.4 -0.4 -0.8 -0.4 0.4 0.4 1.6 -0.8 -0.8 0.4 0.4 -1.2 0.8 0.0
## [6035] -1.2 0.0 0.8 0.0 0.4 0.4 0.4 0.8 -0.4 -0.8 -0.8 0.4 2.0 1.6
## [6049] 1.2 -0.4 1.2 0.8 -1.2 0.0 1.2 0.8 0.0 0.4 0.0 0.0 0.4 -0.4
## [6063] 0.4 -0.8 -0.8 -0.4 -0.4 1.2 1.6 -1.6 0.4 -2.4 -0.4 0.0 -0.8 -0.4
## [6077] -1.6 -0.4 0.8 0.8 -0.4 -0.4 0.0 0.8 0.4 0.4 1.2 -1.6 0.4 -1.2
## [6091] 0.0 -0.8 -0.8 -0.4 -0.8 0.0 1.6 0.0 -1.2 0.8 -0.4 -0.8 -0.4 -1.6
## [6105] 1.2 0.4 -0.8 0.4 0.4 0.4 1.2 -0.4 0.0 -0.8 -0.4 -0.4 1.6 -0.8
## [6119] -0.4 -1.6 -0.4 1.2 -1.2 1.6 0.0 0.8 0.0 -0.4 -0.4 0.0 -0.8 0.4
## [6133] -0.4 -0.8 -0.4 -0.4 0.8 -0.8 2.4 0.4 -0.8 -0.4 0.4 0.4 0.8 -1.2
## [6147] 0.8 -0.4 -1.6 0.0 0.8 0.8 1.6 -0.4 0.4 1.6 0.4 -1.2 0.4 1.6
## [6161] 1.2 -2.4 -0.4 0.4 -1.6 0.4 0.0 0.0 0.4 0.8 -1.2 2.0 0.8 -0.4
## [6175] -0.4 -0.4 0.8 0.0 1.6 -0.4 1.6 0.4 0.4 0.4 0.8 -0.4 1.6 0.0
## [6189] -0.4 1.2 -0.4 -1.6 1.2 0.8 -0.4 -0.8 0.4 0.0 0.8 -0.4 -1.2 2.4
## [6203] -0.4 -0.8 0.8 -0.4 -0.4 0.8 -0.8 0.4 -0.8 0.0 -0.8 -0.4 0.0 0.0
## [6217] -0.8 0.8 0.0 1.6 -1.6 -1.2 -1.2 -0.4 -0.4 0.0 -0.4 -0.8 -0.4 -0.4
## [6231] 0.4 0.8 0.4 -0.8 -1.2 1.2 -0.8 0.4 -0.8 -0.8 -0.4 -0.4 -1.2 0.4
## [6245] 0.4 -0.4 0.8 0.0 0.4 0.8 0.4 0.4 -0.8 -0.8 0.8 1.6 -0.4 0.0
## [6259] 0.0 0.4 0.0 -0.8 -1.2 -0.8 0.4 -1.2 -0.4 -0.4 1.2 -0.4 -0.4 0.4
## [6273] 0.8 0.4 0.0 0.4 -0.4 0.0 -0.4 1.2 0.4 2.4 0.8 0.4 -0.4 -1.6
## [6287] -2.4 0.4 0.4 -0.4 -0.4 0.8 -0.8 -0.4 -0.4 -1.6 0.4 -0.4 -0.8 -0.4
## [6301] 2.4 0.8 0.0 0.8 0.8 0.0 -0.8 0.4 -0.4 -0.4 0.8 0.4 0.4 -0.8
## [6315] 0.4 -1.2 -0.8 -0.4 0.8 0.4 0.8 0.8 0.4 0.0 -0.4 1.6 -0.4 -1.6
## [6329] 1.2 0.0 1.2 -0.8 0.0 0.4 1.2 1.6 -0.8 -0.4 0.4 0.8 0.0 1.2
## [6343] -1.2 -0.4 0.4 1.6 0.4 0.4 0.8 0.4 1.2 0.8 1.2 0.4 -0.4 -1.6
## [6357] 0.8 0.8 -0.4 0.0 0.8 0.8 -1.2 0.0 0.0 0.4 1.6 -1.6 0.0 -0.4
## [6371] -0.8 -0.4 0.4 0.0 -0.4 0.0 -2.4 -0.4 0.4 0.4 -0.8 -0.8 0.0 0.4
## [6385] 0.4 1.2 -1.6 0.4 -1.6 0.8 -0.8 -0.4 1.6 -0.8 0.8 0.0 0.8 -0.4
## [6399] 0.8 -0.8 0.0 -1.2 0.4 1.2 1.2 1.2 -0.8 -0.8 -0.4 -1.2 0.4 0.8
## [6413] -0.4 0.0 0.4 -1.2 -0.4 0.0 -0.4 -0.8 -0.4 -0.4 -1.6 -0.4 -0.8 0.8
## [6427] 0.0 -0.4 0.0 0.0 -0.4 0.4 0.4 1.2 -0.8 0.0 0.0 -1.2 -0.4 1.2
## [6441] 1.2 -1.2 -0.4 -0.4 -0.4 0.8 0.8 0.0 -0.4 0.4 1.6 -1.2 1.2 -0.4
## [6455] -0.4 0.4 1.6 -0.4 -0.4 -0.4 0.4 0.8 -0.8 -2.0 -1.2 0.4 0.0 0.0
## [6469] 1.2 0.8 -1.2 0.4 -1.2 -1.6 1.2 0.0 -1.6 1.6 -0.8 -1.2 1.6 1.6
## [6483] -1.6 1.6 -0.4 -0.4 -0.8 -0.8 -1.2 0.4 0.0 0.0 -0.4 0.4 2.4 -0.8
## [6497] -2.0 -2.0 -0.8 0.0 0.4 -1.6 -2.0 0.4 0.4 0.4 0.4 -0.4 0.8 0.8
## [6511] -0.8 -0.4 0.8 0.8 0.4 -0.4 -0.8 -1.6 0.0 -0.4 0.8 -0.4 0.0 1.2
## [6525] -0.4 -2.0 0.8 -0.8 -1.2 -2.0 1.2 0.8 -0.4 -0.4 -0.4 -0.8 -0.8 -1.2
## [6539] 0.8 -0.8 -0.8 1.6 0.8 0.8 1.6 -0.4 -0.4 -0.8 -1.2 -0.4 -0.4 0.4
## [6553] -0.4 -0.4 1.2 -0.8 -0.4 0.8 -0.8 0.0 -0.4 -1.2 -1.2 0.4 -0.4 0.0
## [6567] -0.4 -0.4 1.2 0.0 -0.8 0.4 -1.2 1.2 -0.4 0.4 0.4 0.8 1.6 -1.6
## [6581] -1.6 0.0 -0.4 0.0 0.0 0.4 -0.8 0.8 0.0 0.4 0.0 0.8 0.8 1.2
## [6595] 0.0 0.8 -1.6 0.0 -0.8 -0.4 -0.4 0.8 0.4 1.2 0.0 1.2 -1.2 0.4
## [6609] 1.2 -1.6 0.0 0.4 -1.6 0.0 0.4 0.4 1.2 -0.8 0.4 0.4 -1.2 0.4
## [6623] -1.6 0.0 0.4 -0.4 1.6 0.0 0.8 -0.4 0.8 1.2 0.8 0.0 -1.2 -0.8
## [6637] 0.4 -0.8 1.6 -1.2 0.4 0.4 -2.0 0.8 -1.2 0.8 -1.2 -0.8 0.8 -1.6
## [6651] 1.2 0.0 -0.8 0.8 1.6 0.4 -1.2 0.4 0.0 -1.2 1.6 0.8 -0.8 -0.4
## [6665] 0.4 0.8 -0.4 -0.4 -2.4 -0.4 -0.8 -0.4 0.0 0.0 0.4 0.0 2.4 -1.2
## [6679] -0.4 -0.4 -1.2 -0.4 -1.2 0.0 1.2 0.8 -1.6 -0.4 1.2 1.6 0.0 0.0
## [6693] 0.4 0.4 -0.4 -0.8 2.0 -1.2 0.0 0.0 0.8 -0.4 -0.4 0.4 0.4 0.4
## [6707] 0.4 0.0 0.8 0.0 0.0 1.2 0.4 0.8 -0.4 1.2 -0.8 0.4 0.4 -0.8
## [6721] 0.4 -1.6 0.4 1.2 0.8 -1.6 0.0 -0.4 0.4 1.2 0.4 0.0 0.4 0.4
## [6735] 0.8 -0.4 -1.2 0.4 0.8 -0.4 1.2 0.0 -0.4 -1.6 0.8 0.4 0.4 0.0
## [6749] 0.4 -0.8 0.0 1.6 -0.8 0.8 -1.6 0.4 0.8 0.4 0.4 -0.8 0.0 0.4
## [6763] 0.4 -0.8 0.8 0.8 -1.2 1.6 1.6 0.4 1.6 0.4 -0.4 -0.4 0.8 1.2
## [6777] -0.8 -0.4 -0.4 -0.4 0.4 -0.4 -0.4 0.4 -1.6 0.0 0.0 0.0 0.0 0.0
## [6791] -0.8 -0.4 -0.4 1.2 0.0 -0.8 0.0 0.4 -0.4 -1.2 -1.2 1.2 1.6 -1.6
## [6805] -1.2 0.4 1.2 0.4 0.8 -0.8 -1.2 -0.4 -0.4 0.8 0.0 0.8 0.4 0.8
## [6819] 0.4 0.4 0.8 1.2 -0.8 0.0 0.0 -1.2 -0.8 -0.4 -1.6 0.0 0.8 0.4
## [6833] 0.0 0.8 0.0 0.0 -1.2 0.0 0.8 0.4 0.4 0.0 -1.2 -0.8 0.0 -0.4
## [6847] -0.8 1.6 -0.4 2.0 -0.8 0.8 0.8 0.0 -0.8 -0.8 0.4 0.0 -0.4 0.4
## [6861] 0.0 0.4 0.4 -0.4 0.4 0.4 -1.6 -0.4 -1.6 -1.6 -0.8 -0.4 -1.2 0.0
## [6875] -0.8 -0.8 -0.8 0.0 1.6 0.4 0.8 -1.6 0.0 -0.4 1.6 -1.2 0.4 0.0
## [6889] 0.4 -0.4 1.2 1.2 1.2 -0.4 -1.2 -0.4 -0.4 0.4 0.8 0.4 0.0 -1.2
## [6903] -0.4 0.0 -0.4 -1.2 -0.4 -1.6 -0.4 0.4 -0.4 0.4 -0.4 0.8 0.0 -2.4
## [6917] 0.4 1.2 -0.8 -1.2 -0.8 0.4 -0.4 0.0 0.8 0.8 0.8 0.4 0.4 0.4
## [6931] 0.0 -1.2 -0.4 -0.4 -1.2 0.0 0.8 0.8 1.6 0.4 -0.4 1.2 0.4 0.4
## [6945] -0.4 -1.2 0.8 -0.4 -0.8 -0.8 -0.8 0.0 0.8 0.4 0.0 -0.4 0.0 -1.2
## [6959] 0.0 0.0 0.8 -1.6 -1.6 -0.8 1.6 0.8 0.8 -0.8 -0.4 -0.4 2.4 -0.8
## [6973] 1.2 -0.4 0.8 -0.4 -0.4 0.4 -0.8 -1.2 -0.8 -0.4 -0.4 -0.8 -0.8 -0.4
## [6987] -0.4 -0.4 2.4 -1.2 0.0 0.4 0.4 -0.8 0.4 0.8 1.6 0.0 0.0 -0.4
## [7001] 0.8 0.8 -2.4 0.8 0.4 0.0 -0.4 -0.4 0.0 -0.8 0.8 -0.4 -0.4 0.4
## [7015] -0.8 0.8 0.0 -0.4 0.4 1.6 -1.2 0.8 0.0 0.4 0.0 0.4 -1.6 -1.2
## [7029] 0.4 -0.4 0.4 0.8 -0.8 0.4 -0.8 -0.8 -0.4 -0.4 0.8 0.4 -0.8 0.4
## [7043] 0.4 0.0 -0.8 0.4 0.4 -0.8 0.4 -0.4 -1.2 0.4 -0.4 -0.8 0.8 0.0
## [7057] 1.6 0.8 0.4 -0.4 0.0 0.4 -0.4 0.0 -0.4 1.6 -1.6 0.0 0.0 0.4
## [7071] 0.4 -0.4 -0.4 0.4 -0.4 1.2 0.8 0.4 -1.2 0.4 0.4 -0.4 0.0 -0.4
## [7085] 0.4 0.0 0.8 0.0 -1.2 1.2 -0.4 0.4 -0.4 1.2 -0.4 -0.4 -0.8 0.4
## [7099] 0.0 0.0 0.8 0.0 0.4 1.6 -0.8 -0.4 0.4 -1.6 -0.4 -1.6 -0.4 1.2
## [7113] -1.2 -1.6 0.8 0.4 0.0 0.0 0.4 -0.4 -0.4 -0.8 -0.8 -0.8 0.0 -1.2
## [7127] -0.4 0.0 0.4 -0.4 0.4 0.0 -2.0 1.2 1.6 0.4 0.4 1.6 0.4 0.4
## [7141] 0.4 0.8 -0.8 0.0 -0.4 0.0 0.0 0.0 -0.4 0.8 0.0 -0.4 -0.8 0.4
## [7155] -1.6 0.0 -0.4 -0.4 1.2 1.2 0.4 0.0 0.0 2.0 0.4 1.6 -0.8 -0.8
## [7169] -0.8 0.4 0.0 1.2 0.4 1.2 1.2 -0.4 0.8 0.4 1.6 1.2 -0.8 0.4
## [7183] 1.6 -0.8 -1.2 0.4 0.0 0.4 -0.8 -0.4 -0.4 0.8 0.0 -0.4 1.6 0.4
## [7197] 0.0 0.8 0.4 -0.4 -0.8 0.8 -0.4 0.8 0.0 0.4 -0.4 0.0 0.4 0.4
## [7211] 1.6 -0.4 0.0 0.0 0.4 0.4 0.4 -1.2 -0.4 -1.2 -1.2 0.8 -0.8 -0.4
## [7225] -0.8 -0.8 -1.2 -0.4 -0.4 -0.8 0.0 0.0 0.0 0.8 0.4 1.2 0.8 0.8
## [7239] -0.8 2.0 0.8 0.8 0.0 -0.4 -0.8 1.2 0.4 0.8 -0.4 -0.4 -0.4 0.4
## [7253] 0.8 -0.4 -0.4 -0.8 0.4 -0.8 0.4 0.4 -1.2 -0.8 0.4 -1.6 -0.8 -1.6
## [7267] 0.8 0.4 -0.8 -1.2 -1.6 0.8 1.2 0.4 0.0 -0.8 0.4 -1.6 0.8 -0.4
## [7281] 0.8 -0.4 1.6 0.0 0.8 0.0 -0.4 -0.4 0.0 0.0 0.4 -0.4 -1.2 -0.4
## [7295] 0.0 1.2 -0.4 -0.4 -0.4 0.0 0.4 0.4 -0.4 -1.2 -1.2 1.6 -0.8 0.8
## [7309] -0.8 0.4 0.8 0.0 1.2 1.2 -1.6 -0.4 -1.6 0.8 0.4 -0.4 1.6 1.6
## [7323] -0.8 -0.4 -0.8 -1.2 -1.2 1.2 1.6 0.4 0.0 0.8 0.0 -1.2 -0.4 -0.8
## [7337] 0.4 -0.4 1.6 0.0 -1.6 0.8 0.4 -0.4 -0.4 0.0 -0.4 0.8 0.4 -0.8
## [7351] -0.8 -0.8 0.8 -1.2 -0.8 1.6 0.0 -1.6 0.8 0.8 -0.8 0.0 1.2 1.2
## [7365] 0.8 -0.4 0.8 0.4 -0.8 -0.8 0.8 0.4 -0.4 0.8 -0.4 0.4 -0.8 1.6
## [7379] -1.2 -1.6 -0.8 -1.6 0.0 0.8 0.0 -0.4 0.0 -0.4 -0.4 -0.4 -0.8 0.4
## [7393] 1.2 -1.6 -0.8 0.4 0.4 -0.8 -0.8 0.0 -2.0 0.4 -1.2 0.8 0.8 -1.6
## [7407] 0.4 0.0 -0.8 0.4 0.4 0.8 -0.4 -0.4 -0.4 0.4 0.4 0.8 -1.2 -1.2
## [7421] 0.8 0.8 0.0 -0.8 0.4 -1.6 0.0 1.2 -0.4 -2.0 0.0 0.0 -0.8 0.0
## [7435] 1.2 1.2 -0.8 -0.4 0.8 0.4 0.8 0.8 -0.4 1.2 0.4 0.4 0.4 0.4
## [7449] 0.4 -1.6 -0.4 -0.8 0.8 0.4 -0.4 -0.8 1.2 0.4 -0.4 -0.4 -0.4 1.6
## [7463] -0.8 0.4 -0.8 0.4 -0.4 -0.4 0.4 0.4 0.8 -0.4 -1.6 -0.8 -0.4 0.0
## [7477] 0.0 -2.0 -0.4 1.6 0.4 0.0 0.4 -0.4 0.0 0.8 -0.4 -0.8 -1.6 -0.8
## [7491] -1.2 0.8 0.4 0.0 -1.6 0.8 0.4 0.0 0.8 -1.6 0.4 1.6 0.8 0.0
## [7505] 0.4 -1.2 0.4 0.0 -0.8 0.4 2.0 0.0 1.2 0.4 0.4 -1.2 -0.8 0.4
## [7519] -0.4 0.0 0.0 -0.4 1.2 -0.8 -2.0 0.4 1.2 1.2 1.6 1.6 -1.2 -0.8
## [7533] 0.8 -1.6 0.8 0.4 1.6 -0.8 0.4 0.4 -2.4 0.4 0.8 -0.4 1.2 0.4
## [7547] 1.2 -0.4 0.0 0.4 0.4 -1.2 1.2 -0.8 0.0 0.4 0.4 1.6 1.6 -0.4
## [7561] 0.4 -2.0 -1.2 -1.6 -1.2 -0.4 0.8 1.2 -2.0 -0.8 -0.8 0.4 0.8 1.6
## [7575] 0.8 -1.6 0.0 0.4 0.8 0.0 -0.4 0.4 -1.6 0.8 -1.6 1.2 0.0 -1.2
## [7589] -0.8 2.4 0.0 0.4 -0.4 0.8 -0.4 -0.4 0.8 0.4 0.8 1.2 0.0 0.8
## [7603] 0.8 -0.4 0.0 -1.2 1.2 0.4 0.0 0.0 0.0 -0.8 -1.6 0.8 0.4 -1.6
## [7617] 0.4 1.6 1.6 0.4 1.6 2.0 0.0 0.0 -1.6 -0.4 -1.6 -0.8 0.4 0.0
## [7631] -0.4 0.0 -0.4 -1.2 -0.4 -0.4 -0.4 0.0 0.4 -1.2 -0.8 -0.4 0.0 -0.4
## [7645] 0.0 0.0 0.4 0.4 0.8 -2.4 0.8 0.4 -0.4 1.2 -1.6 0.0 -0.4 -2.0
## [7659] -0.8 -0.4 -0.4 -0.8 0.8 -0.4 -0.4 0.8 -0.8 -0.8 -0.4 0.8 -2.0 -0.4
## [7673] -1.6 1.6 -0.4 -1.6 0.0 0.8 0.4 0.0 -0.8 -0.4 -0.8 0.8 0.8 0.0
## [7687] -0.4 0.0 -0.8 0.4 -1.2 0.4 0.4 -0.8 0.0 0.4 -1.6 -0.4 -0.8 1.6
## [7701] -1.2 1.2 0.4 0.0 -1.6 -0.4 -0.4 -1.2 0.4 -0.4 -0.4 0.0 1.2 0.0
## [7715] 0.4 0.4 -0.4 -1.2 1.2 -0.4 -1.2 -1.6 0.4 -0.4 0.8 0.0 -1.2 1.2
## [7729] -0.4 -0.4 0.4 -0.4 0.8 0.4 -0.8 0.4 0.8 -1.6 0.0 0.4 2.0 0.8
## [7743] -0.8 -2.0 0.0 0.4 0.0 0.4 0.0 0.8 0.4 -1.2 -2.0 -0.8 0.8 -0.4
## [7757] 0.4 0.0 1.2 0.4 -1.2 -1.6 1.2 -2.0 -0.8 0.0 -2.0 -0.4 0.4 -0.4
## [7771] -0.4 -0.4 -1.6 -1.2 0.4 0.8 0.0 0.8 -1.6 0.0 0.8 -0.4 1.2 0.0
## [7785] -0.8 0.4 -0.4 -1.2 0.0 0.0 -0.4 1.2 -0.4 1.6 0.0 -1.2 -0.4 1.6
## [7799] -0.4 0.8 -0.8 -0.8 0.4 -0.8 0.4 0.4 -1.2 -0.8 0.4 1.6 -0.8 0.8
## [7813] -0.4 -0.4 0.4 0.0 -0.8 0.8 0.4 0.8 -0.8 -0.4 -1.2 1.2 -1.2 -1.6
## [7827] -0.8 -1.6 0.8 -0.4 0.0 0.4 -0.8 -1.6 1.6 0.0 -0.8 0.8 1.6 -0.8
## [7841] 0.8 0.8 0.0 0.0 0.0 -0.4 -0.8 0.0 -1.2 1.2 -0.4 0.4 0.4 0.0
## [7855] 0.4 0.4 -1.2 -0.8 0.0 0.4 -0.4 0.0 -0.8 0.0 0.0 0.8 0.8 1.2
## [7869] -1.2 -0.4 -0.4 0.8 0.0 -0.4 -0.4 0.0 0.4 0.8 0.4 -0.8 -1.2 0.4
## [7883] 0.4 0.4 0.4 -0.4 0.0 0.0 0.8 0.8 0.0 0.4 1.2 1.2 -0.4 0.4
## [7897] 0.4 -1.2 0.0 -0.4 -0.8 -1.2 1.6 -0.8 0.0 0.0 0.8 -0.4 -0.8 -0.8
## [7911] -0.4 0.8 1.2 0.0 -1.6 0.8 0.4 1.2 -1.6 -0.8 -1.6 0.0 0.4 -0.4
## [7925] 0.0 -0.4 -0.4 -1.2 0.4 0.4 -0.4 0.4 -1.6 0.8 0.0 0.8 0.0 0.8
## [7939] -0.8 0.0 0.8 0.0 -1.6 1.6 0.0 -0.8 -0.8 -0.4 -0.8 -0.4 0.0 -0.4
## [7953] 0.8 -1.2 -0.8 -0.8 -0.8 0.0 0.8 -0.4 -1.6 1.2 -0.4 -0.4 -0.4 -0.8
## [7967] -0.4 -0.8 2.0 0.8 -0.4 -0.4 0.8 0.0 -2.0 -0.4 -1.2 0.0 -0.4 -0.8
## [7981] 1.2 0.0 0.0 0.8 -0.8 0.0 -0.4 -1.2 0.0 -0.8 -1.6 -1.2 0.4 -0.8
## [7995] 0.4 -1.2 0.4 -0.4 0.0 0.0 0.4 0.4 -0.4 -0.4 0.0 0.0 0.8 1.2
## [8009] -0.4 -0.4 -0.8 0.0 -1.2 -0.8 -0.4 -0.4 0.4 0.0 0.4 0.0 1.2 0.4
## [8023] 1.6 -0.8 0.4 0.4 1.2 0.8 0.0 -2.0 1.2 -0.4 -1.6 0.8 0.8 -1.6
## [8037] 0.4 0.0 0.8 -1.2 -0.4 1.6 -2.0 0.8 -0.4 0.0 0.4 0.4 -0.4 0.8
## [8051] 0.0 0.4 2.4 0.0 0.4 0.0 0.8 0.8 1.2 -1.2 0.4 1.2 -0.4 1.2
## [8065] 0.8 -2.4 0.0 -0.4 0.4 1.2 0.8 -0.8 -1.6 -1.2 0.8 -0.8 -1.2 0.4
## [8079] 0.4 1.6 -0.8 0.4 -0.8 0.8 1.2 -0.4 0.8 0.0 -0.8 0.0 1.2 -0.8
## [8093] 0.4 -0.4 -0.8 0.8 -0.8 -2.4 -0.4 0.8 0.4 0.0 -0.4 0.0 0.8 -1.6
## [8107] 1.2 -1.6 -0.4 0.8 0.0 -0.4 0.4 -1.6 -0.4 1.2 0.4 -0.4 0.0 0.8
## [8121] 0.0 -0.8 1.6 -0.4 -0.8 0.8 0.4 0.4 -0.4 0.4 0.4 0.0 -0.4 0.4
## [8135] -0.4 -0.8 -1.2 0.0 -0.4 0.0 0.0 -1.6 -0.4 1.6 -0.8 0.4 -0.8 -0.4
## [8149] 0.4 0.0 0.4 -0.8 -0.8 0.0 -2.4 -0.4 -0.4 0.4 -2.0 1.2 -1.2 1.6
## [8163] 0.0 0.0 0.4 0.8 0.4 0.4 1.6 0.4 -0.4 0.0 -1.6 -1.6 1.2 0.0
## [8177] 0.0 0.8 -0.4 0.4 0.8 1.2 0.0 -0.4 0.4 -0.4 1.2 0.4 0.4 0.4
## [8191] -2.0 -1.2 0.0 -0.8 0.8 0.4 -0.4 -1.2 0.4 -0.8 -0.4 0.0 0.4 0.0
## [8205] -0.4 -1.2 -0.4 -0.8 -0.8 2.0 1.6 0.0 -0.4 -0.8 1.2 -0.4 1.2 -0.4
## [8219] 0.8 -0.4 -0.4 -1.6 1.2 0.4 0.4 -0.4 0.0 0.0 -1.2 -0.4 -0.4 -0.4
## [8233] 1.6 -0.8 -1.2 1.2 -0.4 0.4 1.6 0.4 1.6 -0.4 -0.4 -1.6 -1.6 0.8
## [8247] -0.4 -0.4 0.4 -1.2 0.8 0.4 -1.6 0.8 -0.4 0.4 -0.4 -1.6 0.4 0.0
## [8261] 0.0 -1.2 1.2 0.0 0.4 0.0 -1.2 0.4 1.6 0.0 1.2 -1.2 0.8 -0.8
## [8275] 0.0 1.2 -1.6 1.2 0.8 1.2 -0.4 -0.8 -0.4 0.4 -0.4 0.8 -1.6 0.4
## [8289] 0.0 0.4 0.0 -1.6 0.0 0.4 0.4 0.0 -0.4 0.4 -0.4 -2.0 0.8 1.6
## [8303] 1.2 -1.2 0.4 0.0 0.4 0.0 -0.4 1.2 -1.6 0.0 0.4 0.0 0.8 0.8
## [8317] 0.0 0.8 2.0 0.8 0.4 -1.2 0.4 0.4 0.0 0.0 0.8 2.0 1.6 -0.4
## [8331] -1.2 0.8 0.4 -0.4 0.8 0.4 0.8 -0.4 1.2 0.0 1.2 -0.4 1.2 0.0
## [8345] 0.0 0.4 0.8 -0.4 0.0 -0.4 0.0 -0.4 -1.6 0.4 -0.8 -0.8 0.4 -0.4
## [8359] 0.4 0.8 0.4 -1.2 -0.8 -0.4 -0.8 -0.4 0.8 0.8 -0.8 -1.2 -0.4 -0.8
## [8373] -0.4 -0.8 0.0 0.0 -0.8 0.4 0.8 -1.2 0.0 0.8 1.6 0.8 0.8 0.8
## [8387] 0.8 0.0 1.2 -2.0 0.0 0.8 1.6 0.8 -0.4 -1.6 0.4 -0.4 1.2 -0.8
## [8401] 0.0 2.0 0.4 -1.2 1.2 2.0 -0.4 0.0 0.0 -1.2 -0.8 -0.8 -1.2 1.6
## [8415] 0.0 1.2 -0.4 0.0 0.4 0.4 0.8 0.0 1.2 -1.2 -1.6 -0.8 -1.2 -0.4
## [8429] 0.4 0.0 0.8 0.4 0.4 0.4 0.0 0.4 -0.8 -0.4 -0.8 -0.4 0.4 -0.4
## [8443] 0.4 0.8 0.4 -0.4 0.0 -0.4 -0.8 -0.4 -0.8 -0.4 0.0 1.2 -0.8 -1.2
## [8457] -0.4 0.4 -0.8 1.2 2.0 0.0 0.8 0.4 -1.2 -0.8 1.2 -0.8 -1.6 1.6
## [8471] -0.4 -0.4 0.0 0.8 -0.8 0.4 1.6 0.8 0.4 0.0 -0.8 0.4 0.8 0.0
## [8485] -1.6 -0.8 0.8 -0.8 -0.8 0.4 0.4 -1.6 -0.4 0.0 1.2 0.4 0.4 -0.4
## [8499] 0.4 0.8 0.0 0.4 -0.4 -0.4 0.8 0.4 1.2 -0.8 0.4 0.4 1.2 0.8
## [8513] -0.4 1.6 0.4 0.0 -1.2 -0.8 0.8 -1.6 0.4 0.0 -0.8 -1.2 0.8 0.4
## [8527] -1.2 -0.4 0.8 0.8 0.0 -1.2 0.4 1.6 -0.4 0.4 -0.4 0.4 0.4 2.0
## [8541] -0.8 -0.4 0.4 0.0 -0.8 -1.2 -0.4 -0.8 -0.4 0.0 -1.6 0.0 0.4 0.4
## [8555] 0.4 0.4 0.4 -0.4 1.2 0.4 0.4 -0.8 0.8 0.8 1.6 -1.2 -0.4 0.0
## [8569] -0.4 1.6 -0.8 0.4 -0.4 0.0 0.8 0.4 0.4 0.0 1.6 1.2 0.4 -0.4
## [8583] 0.4 0.8 1.2 -0.4 0.4 -0.8 -0.4 -0.8 1.2 -0.8 -0.4 1.6 0.0 -0.8
## [8597] -1.6 -0.4 0.4 0.8 0.0 -1.2 0.0 -0.8 0.0 0.4 0.8 -0.8 -0.4 0.4
## [8611] 1.2 -1.6 0.4 0.0 0.0 -0.8 0.8 0.4 -0.4 -0.4 0.0 0.4 0.4 -1.2
## [8625] 0.8 -0.4 2.4 -0.8 -0.4 0.0 0.0 -1.2 -1.6 0.8 -1.6 -0.4 0.4 0.0
## [8639] 1.6 0.8 0.8 0.4 0.4 0.0 0.4 0.4 0.8 0.4 -0.8 0.4 1.6 0.8
## [8653] 0.8 0.0 0.4 -0.8 -0.8 0.4 1.6 1.6 1.6 -0.4 -1.2 -0.4 1.6 0.4
## [8667] 0.4 0.0 -0.4 -0.4 0.4 0.4 0.0 0.4 0.4 0.8 -1.2 0.8 -0.4 0.0
## [8681] 0.4 -1.6 1.2 -2.4 1.2 0.8 -0.4 -0.4 -0.8 0.0 -0.4 0.0 -0.4 -1.6
## [8695] -0.4 1.2 -0.4 -0.4 0.0 -0.8 -0.4 -1.6 1.2 0.4 0.4 0.0 0.0 -0.4
## [8709] 0.0 -0.4 0.0 -0.4 0.4 0.0 0.8 1.2 1.6 1.2 0.4 0.4 0.0 0.4
## [8723] 0.4 2.0 0.4 0.0 0.4 0.0 0.0 1.2 -0.4 -0.4 -2.0 0.0 -0.8 -0.4
## [8737] 0.0 -0.8 -0.4 2.0 -0.8 0.4 -1.6 0.8 -0.4 -0.4 0.8 -0.4 -0.4 0.4
## [8751] -0.8 -0.8 0.4 -1.2 -0.8 1.2 0.8 0.8 1.6 0.4 1.2 2.4 0.4 1.2
## [8765] -0.8 -0.8 0.4 0.4 0.8 -0.8 1.2 0.4 0.4 0.0 0.0 -0.8 0.4 0.4
## [8779] -1.6 -0.4 -0.8 -1.6 -1.2 0.8 -0.4 -0.4 -0.4 -0.4 0.0 0.4 1.2 0.0
## [8793] -0.4 -0.8 -0.8 0.0 0.0 -1.2 0.4 -0.4 0.0 0.8 0.0 0.4 0.4 -0.8
## [8807] -0.8 -0.8 0.0 -0.4 -0.4 0.0 0.4 0.8 0.0 -0.4 0.4 0.4 0.0 0.0
## [8821] -0.4 0.4 0.8 0.0 -0.8 0.4 1.6 0.8 0.4 -0.4 0.8 1.2 -0.4 -0.8
## [8835] 0.0 1.6 0.0 1.2 -0.4 -0.8 -0.8 0.0 -0.4 1.6 0.4 0.0 -0.4 -0.4
## [8849] 0.0 0.4 -0.4 0.4 -0.4 0.0 0.8 -0.4 0.8 -0.4 -0.4 -0.8 0.4 -1.2
## [8863] 1.2 0.0 -0.8 -1.2 0.8 0.0 0.8 1.2 -0.4 -1.2 1.6 -1.6 -0.8 0.4
## [8877] 1.2 0.8 0.0 0.8 -1.6 -0.4 0.4 1.6 1.2 -1.2 0.8 0.4 1.2 0.0
## [8891] 0.8 0.4 -1.6 -1.6 -0.4 1.2 0.4 -0.4 -0.4 -0.8 0.0 2.0 0.4 -1.2
## [8905] 1.2 -1.6 -0.4 0.0 0.0 0.4 -0.8 -0.4 -0.8 -0.4 1.2 1.2 1.6 0.0
## [8919] -1.2 0.0 1.6 -0.4 -1.6 -1.2 0.0 0.4 1.2 0.4 -0.4 -1.2 0.0 0.0
## [8933] -0.4 -0.8 -0.4 -0.8 -1.6 0.0 -0.4 0.8 0.8 0.0 1.2 1.2 0.4 -0.4
## [8947] -0.8 -0.4 -0.4 -0.4 -0.8 1.6 0.8 0.8 0.4 1.2 0.4 0.4 0.8 0.8
## [8961] 0.0 -0.8 0.4 -1.2 1.6 -1.2 0.0 1.6 0.0 0.0 -1.2 0.4 1.2 0.8
## [8975] -2.4 -0.4 0.0 0.0 0.0 0.0 0.0 -0.8 -0.4 -0.8 -0.4 0.4 0.0 0.0
## [8989] -0.8 0.0 2.0 0.8 -0.4 -0.8 -0.4 0.4 -0.4 1.6 -1.6 0.4 -1.6 -0.4
## [9003] 0.4 1.2 1.6 -0.8 -0.8 -1.2 1.2 1.2 0.4 0.4 -0.4 0.4 -0.8 -0.4
## [9017] 0.8 1.6 1.2 -0.4 -1.2 -0.4 -0.8 1.6 0.4 1.6 0.8 0.4 0.8 1.2
## [9031] 0.4 0.4 -1.2 -0.4 1.2 -0.8 -0.8 -1.6 0.4 -0.4 2.0 0.0 0.0 1.2
## [9045] 0.0 -0.4 -0.4 -0.4 -0.4 0.0 1.6 -0.4 -0.4 -1.2 0.4 0.0 0.4 -0.4
## [9059] 0.8 0.4 0.8 0.4 -0.8 -0.8 2.0 -0.8 0.0 -0.4 0.4 0.8 0.4 0.4
## [9073] 2.4 0.8 1.6 -0.4 0.8 0.8 0.4 -1.6 0.8 0.8 -0.4 1.2 1.6 0.4
## [9087] 0.4 0.8 -1.2 0.0 0.4 0.4 -0.4 -0.8 -0.8 0.4 1.6 1.6 0.0 1.2
## [9101] 0.0 -0.4 -0.4 -0.4 -1.6 0.8 0.8 -1.2 0.4 0.4 -2.0 0.8 0.4 1.2
## [9115] 0.0 0.4 -0.8 1.2 0.0 0.0 0.4 -1.6 -0.8 -0.8 0.4 -0.8 0.8 0.4
## [9129] 0.4 0.8 0.4 0.4 0.8 1.2 1.6 0.8 -1.2 -0.4 0.8 0.0 1.6 0.0
## [9143] 0.4 -0.4 1.6 1.2 0.4 0.0 -0.4 1.2 -0.4 0.4 0.0 0.4 0.0 1.6
## [9157] -0.8 0.0 -1.2 -0.4 -1.2 0.8 -1.2 -0.4 -0.4 -0.4 0.0 0.0 0.4 0.8
## [9171] 0.0 0.0 0.8 -0.8 0.4 -0.8 -0.4 -0.4 1.6 0.8 0.8 0.8 0.8 -1.2
## [9185] -1.6 0.8 0.4 -0.4 -0.8 0.8 0.0 -0.8 -0.4 0.4 1.2 -0.4 -2.0 0.8
## [9199] 0.8 0.4 0.0 0.8 -0.4 -1.6 0.0 -0.8 -0.8 1.2 -1.6 0.4 0.4 0.8
## [9213] -0.4 0.0 0.4 -0.4 -0.4 0.0 -0.4 1.2 0.4 0.0 -1.6 -0.4 0.0 0.4
## [9227] -0.4 0.0 -0.4 -0.4 -1.6 0.4 -0.4 0.0 0.0 -1.2 0.4 0.0 1.6 1.6
## [9241] 0.4 -0.4 1.2 0.4 -0.4 0.8 1.2 -0.8 -0.8 1.2 0.8 0.4 0.8 1.2
## [9255] -0.4 0.4 0.4 0.0 -0.4 -1.2 -0.8 0.4 -0.8 -0.4 1.2 1.6 -0.8 -1.2
## [9269] 0.0 -1.6 1.6 -0.4 -0.4 -0.4 -0.4 -0.4 0.8 0.8 -0.8 -0.4 -0.8 -0.8
## [9283] 0.8 0.0 0.0 -1.6 0.4 0.4 -0.4 1.6 1.6 1.2 -0.4 -0.8 0.4 0.4
## [9297] -0.8 0.0 -1.6 -0.4 1.2 0.4 -0.8 0.8 -0.8 -0.4 -0.8 -0.4 0.4 0.8
## [9311] 0.0 -1.6 -1.6 0.4 -0.4 0.8 -0.8 1.2 0.0 -1.6 0.0 -0.4 0.4 -0.8
## [9325] -0.8 -0.8 0.8 -0.4 -0.4 0.0 0.8 0.8 1.2 -0.4 0.4 0.4 -0.4 -0.4
## [9339] 1.2 0.0 0.8 -0.4 -1.2 0.4 0.4 -0.4 -0.4 -0.8 0.4 0.0 -0.4 0.4
## [9353] -1.2 0.0 -0.8 -1.2 1.6 -1.6 0.4 0.8 -0.4 0.8 0.4 -0.8 1.2 -0.4
## [9367] 0.0 0.4 -0.4 0.4 0.4 -0.8 -0.8 -1.2 -0.4 0.0 0.0 -0.4 0.0 0.8
## [9381] -0.4 0.4 2.4 -0.4 -1.2 0.0 0.0 -1.6 0.8 0.4 0.8 -0.4 0.0 0.8
## [9395] -0.4 0.4 -0.8 -1.2 -0.8 -0.4 -0.8 -0.8 -0.4 1.6 0.4 0.8 0.0 0.4
## [9409] 1.2 -1.2 0.0 -1.6 -0.8 -0.4 -1.2 0.0 0.0 0.8 0.0 0.0 -0.4 -1.6
## [9423] -1.2 0.8 0.0 0.0 0.0 1.6 0.4 0.0 1.2 -0.4 -1.2 0.0 -0.4 -1.2
## [9437] 0.4 -0.4 -1.2 0.0 -0.4 -1.6 0.4 0.0 1.2 -1.2 0.4 -1.6 -1.2 -2.4
## [9451] -1.6 0.0 -0.8 -0.8 0.0 -0.4 0.0 -0.4 1.2 0.8 -1.6 0.0 -0.4 1.6
## [9465] -0.4 -0.8 1.2 0.0 0.4 -0.8 0.4 0.4 0.8 0.4 -0.4 0.0 0.0 -0.8
## [9479] -0.4 1.6 0.0 0.0 0.0 -1.2 1.6 0.8 -0.4 -0.4 -1.2 1.2 -0.4 -0.4
## [9493] -0.4 0.8 0.4 0.4 0.8 0.0 0.0 -0.4 0.4 0.0 0.8 0.4 1.2 0.4
## [9507] 0.0 0.0 -1.6 -1.2 0.8 -1.6 -0.4 -1.2 -0.4 0.4 -0.8 -1.2 2.0 -2.0
## [9521] 0.8 -0.4 0.8 1.2 0.0 0.0 0.0 -2.0 0.4 0.4 0.8 0.0 0.0 -0.4
## [9535] 0.4 -2.4 1.6 -0.8 -0.4 0.0 -0.8 -1.6 -0.4 -1.6 0.0 -0.4 -0.8 0.8
## [9549] 0.4 -0.8 -1.2 -0.8 0.4 0.0 -0.4 -2.0 -0.4 1.2 -1.2 -0.4 0.0 -1.6
## [9563] 1.2 0.8 0.8 0.4 0.4 1.6 0.0 -0.8 0.8 0.8 1.2 1.2 2.4 0.4
## [9577] -1.2 0.4 0.8 0.0 0.0 -0.4 0.0 0.4 0.8 -0.8 0.0 -0.4 0.4 0.4
## [9591] 1.2 0.4 0.8 1.6 0.0 0.0 0.8 1.2 -0.8 0.4 0.8 0.8 -1.6 0.8
## [9605] -0.4 1.2 -0.4 0.0 1.2 0.8 0.8 1.2 0.0 1.2 -0.8 -0.4 -0.4 0.4
## [9619] 0.4 -0.4 0.4 0.8 1.2 -0.4 0.8 -0.8 0.4 1.6 -0.4 -1.6 0.4 -0.8
## [9633] -1.6 0.4 -2.0 0.0 1.6 0.0 -0.4 -0.4 -0.8 2.4 0.8 0.4 0.0 -0.4
## [9647] 1.6 2.0 -0.8 -1.2 -0.8 0.0 -0.4 2.0 0.0 1.2 -0.8 0.8 -0.8 -0.4
## [9661] 0.4 0.4 -0.4 0.0 -0.4 -1.2 -0.4 -0.8 -1.2 -0.8 -1.2 0.4 0.4 -0.8
## [9675] 0.0 0.4 -0.4 0.4 1.6 -0.4 -0.4 1.2 1.2 1.6 0.0 -2.4 0.4 0.4
## [9689] -0.4 0.0 0.0 0.8 -0.4 1.6 -0.4 -0.4 0.0 0.8 0.4 0.8 0.0 -0.4
## [9703] 0.8 -1.2 0.4 -0.4 0.0 0.8 -1.2 0.0 -1.6 1.6 0.0 0.4 1.6 -0.8
## [9717] 1.6 -0.4 -0.4 -0.4 -0.4 -1.6 0.0 -0.8 0.0 1.2 -0.4 -0.8 -0.4 1.6
## [9731] -0.8 -0.8 0.4 1.6 0.0 0.0 1.6 -2.4 -0.4 0.4 -0.8 0.4 -1.2 0.0
## [9745] -0.4 -0.8 -0.8 -0.4 0.4 -0.4 0.4 -1.6 0.0 0.4 0.0 0.8 -0.8 0.8
## [9759] 0.4 1.6 -0.4 -0.4 0.0 -0.4 0.8 -0.4 1.6 0.0 0.4 1.6 0.4 0.0
## [9773] -0.8 -1.2 0.4 0.0 0.0 0.8 -0.8 -0.4 0.4 0.4 0.8 -0.8 0.0 1.2
## [9787] -1.2 -0.4 -0.4 0.4 -0.4 0.4 -0.8 -0.4 0.4 0.0 1.2 0.4 -1.6 0.4
## [9801] 0.8 -0.8 1.6 -0.4 -0.8 0.8 -1.2 0.0 0.4 -2.4 0.8 -0.4 0.0 -1.2
## [9815] 0.4 0.4 -0.8 0.4 0.0 0.0 0.8 -1.2 1.2 -0.8 0.4 -0.8 1.2 -0.8
## [9829] -0.8 0.4 0.0 -1.2 -2.0 -0.4 -0.8 -0.4 -0.8 0.8 0.4 0.4 0.4 0.4
## [9843] -1.2 0.8 1.6 -0.8 0.0 -0.4 0.4 -0.8 -0.4 0.4 0.8 -1.6 0.4 0.0
## [9857] 0.8 -1.2 -1.2 -0.4 0.8 0.8 0.4 0.8 0.0 -0.4 0.8 0.4 0.4 0.8
## [9871] -0.4 -0.8 0.4 -0.4 0.8 1.2 -0.8 -0.4 -0.4 -0.8 -0.8 0.0 1.2 0.0
## [9885] 0.0 0.8 -0.4 0.4 1.6 0.4 -0.8 1.2 -1.2 0.0 0.4 -0.4 0.8 0.4
## [9899] -0.8 0.4 0.8 0.0 -0.4 -1.2 0.8 -0.8 0.8 -0.8 -0.8 -1.6 -0.8 -0.8
## [9913] 0.4 -0.4 0.4 0.0 -1.6 0.4 -2.4 -0.4 0.8 -0.4 0.4 -0.4 -0.4 1.2
## [9927] 0.8 -0.4 -0.4 -1.2 0.0 -1.6 0.8 0.0 -0.4 0.4 -0.8 1.6 1.2 0.4
## [9941] -0.8 -0.4 -0.8 0.8 0.4 -1.2 -1.2 0.8 -0.8 0.4 0.4 -0.8 -0.8 1.2
## [9955] -0.4 0.0 -0.4 0.4 -0.8 -0.4 0.4 1.6 -0.8 -1.6 -0.4 -0.8 -0.4 -1.6
## [9969] 0.8 -0.4 1.6 -0.8 1.2 -0.4 -0.8 0.8 -0.8 0.0 -0.8 -0.4 -0.8 0.0
## [9983] 0.4 0.8 0.4 -0.8 -0.4 0.8 0.0 0.4 0.4 -0.4 0.4 1.2 0.0 -1.6
## [9997] 1.6 -0.8 1.2 1.6
# Console prints out the first 1000 entries, omits 9000 from console view
# Plotting results in a histogram to see if the data is normally distributed
hist(results)
cat("It seems to be that the distribution of the differences of the means from the two groups are nicely and normally distributed")
## It seems to be that the distribution of the differences of the means from the two groups are nicely and normally distributed
# To find the p-value of the data and ultimately determine the likelihood of the difference between the two conditions, we can compare the outcome of this permutation testing with the actual outcome of our testing.
# Therefore, first, we calculate the mean of each of the datasets and find the difference between the two
mean_black <- mean(black)
mean_white <- mean(white)
mean_black
## [1] 1.4
mean_white
## [1] 3.8
difference = mean_white - mean_black
# Then, to find our p-value by comparing the two tests to each other, we find the percentage of values that are greater or equal to the difference of the means between our two original datasets. This would give us a large number of the total percentage across all 10,000 permutations, so we will need to divide this total number by the variable replications.
p <-sum(results >=difference)/replications
p
## [1] 0.0052
cat("The p-value is less than 0.05 (0.0046), so we can conclude that the difference between the black clothing and white clothing groups IS statistically significant (essentially meaning that we reject our null hypothesis in favor of the alternative). Therefore, we can conclude that there does exist a likely difference between the two conditions using this small n-method.")
## The p-value is less than 0.05 (0.0046), so we can conclude that the difference between the black clothing and white clothing groups IS statistically significant (essentially meaning that we reject our null hypothesis in favor of the alternative). Therefore, we can conclude that there does exist a likely difference between the two conditions using this small n-method.