library(NMRr)
ca <- as.numeric(RefDB_data$getData(986)[,4])## Warning: NAs introduced by coercioncb <- as.numeric(RefDB_data$getData(986)[,5])## Warning: NAs introduced by coercionaa <- RefDB_data$getData(986)[,2]
peak_list <- data.frame(AA=aa, CA=ca, CB=cb)
peak_list <- na.omit(peak_list)
assignments <- peak_list$AA
peak_list <- peak_list[,c(2,3)]
TypingAssign <- function(peak_list) {
row_len <- nrow(peak_list)
density_norm <- lapply(c(1:row_len), function(indx){
chistr <- ChiStr(unlist(peak_list[indx,]))
density_result <- lapply(chistr[, 2:4], function(x) { sapply(x, FUN = function(x) { return(dchisq(as.numeric(x), 2)) }) })
density_result_unlist <- unlist(density_result)
density_result_names <- c(sapply(chistr[,1], function(s){paste0(s, "-H")}), sapply(chistr[,1], function(s){paste0(s, "-B")}), sapply(chistr[,1], function(s){paste0(s, "-C")}))
names(density_result_unlist) <- NULL
density_result <- data.frame(Name=density_result_names, Density=round(density_result_unlist/sum(density_result_unlist),4))
density_result_ordered <- density_result[ order(-density_result[,2]), ]
return(density_result_ordered)
})
return(density_norm)
}
result <- TypingAssign(peak_list)## [1] E
## Levels: A C D E G H K L N P Q S V W
## 39 42 13 48 49 26 28
## Name "W-B" "B-C" "P-H" "I-C" "K-C" "F-B" "I-B"
## Density "0.0900" "0.0809" "0.0711" "0.0684" "0.0683" "0.0674" "0.0658"
## 52 46 59 29 22 53 27
## Name "N-C" "F-C" "W-C" "K-B" "B-B" "P-C" "H-B"
## Density "0.0636" "0.0598" "0.0573" "0.0532" "0.0519" "0.0513" "0.0276"
## 47 2 12 9 32 19 33
## Name "H-C" "B-H" "N-H" "K-H" "N-B" "W-H" "P-B"
## Density "0.0263" "0.0231" "0.0202" "0.0172" "0.0141" "0.0107" "0.0038"
## 8 5 6 45 7 25 60
## Name "I-H" "E-H" "F-H" "E-C" "H-H" "E-B" "Y-C"
## Density "0.0036" "0.0015" "0.0007" "0.0007" "0.0006" "0.0006" "0.0004"
## 1 3 4 10 11 14 15
## Name "A-H" "C-H" "D-H" "L-H" "M-H" "Q-H" "R-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 16 17 18 20 21 23 24
## Name "S-H" "T-H" "V-H" "Y-H" "A-B" "C-B" "D-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 30 31 34 35 36 37 38
## Name "L-B" "M-B" "Q-B" "R-B" "S-B" "T-B" "V-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 40 41 43 44 50 51 54
## Name "Y-B" "A-C" "C-C" "D-C" "L-C" "M-C" "Q-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 55 56 57 58
## Name "R-C" "S-C" "T-C" "V-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] A
## Levels: A C D E G H K L N P Q S V W
## 21 41 1 2 3 4 5
## Name "A-B" "A-C" "A-H" "B-H" "C-H" "D-H" "E-H"
## Density "0.6828" "0.3154" "0.0018" "0.0000" "0.0000" "0.0000" "0.0000"
## 6 7 8 9 10 11 12
## Name "F-H" "H-H" "I-H" "K-H" "L-H" "M-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 13 14 15 16 17 18 19
## Name "P-H" "Q-H" "R-H" "S-H" "T-H" "V-H" "W-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 20 22 23 24 25 26 27
## Name "Y-H" "B-B" "C-B" "D-B" "E-B" "F-B" "H-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 28 29 30 31 32 33 34
## Name "I-B" "K-B" "L-B" "M-B" "N-B" "P-B" "Q-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 35 36 37 38 39 40 42
## Name "R-B" "S-B" "T-B" "V-B" "W-B" "Y-B" "B-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 46 47 48 49
## Name "C-C" "D-C" "E-C" "F-C" "H-C" "I-C" "K-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 50 51 52 53 54 55 56
## Name "L-C" "M-C" "N-C" "P-C" "Q-C" "R-C" "S-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 57 58 59 60
## Name "T-C" "V-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] C
## Levels: A C D E G H K L N P Q S V W
## 25 34 45 38 51 11 4
## Name "E-B" "Q-B" "E-C" "V-B" "M-C" "M-H" "D-H"
## Density "0.1465" "0.1370" "0.1177" "0.1160" "0.1141" "0.0813" "0.0640"
## 24 54 31 44 58 5 23
## Name "D-B" "Q-C" "M-B" "D-C" "V-C" "E-H" "C-B"
## Density "0.0555" "0.0417" "0.0392" "0.0280" "0.0238" "0.0179" "0.0068"
## 30 3 50 33 43 14 1
## Name "L-B" "C-H" "L-C" "P-B" "C-C" "Q-H" "A-H"
## Density "0.0052" "0.0026" "0.0017" "0.0006" "0.0002" "0.0001" "0.0000"
## 2 6 7 8 9 10 12
## Name "B-H" "F-H" "H-H" "I-H" "K-H" "L-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 13 15 16 17 18 19 20
## Name "P-H" "R-H" "S-H" "T-H" "V-H" "W-H" "Y-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 21 22 26 27 28 29 32
## Name "A-B" "B-B" "F-B" "H-B" "I-B" "K-B" "N-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 35 36 37 39 40 41 42
## Name "R-B" "S-B" "T-B" "W-B" "Y-B" "A-C" "B-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 46 47 48 49 52 53 55
## Name "F-C" "H-C" "I-C" "K-C" "N-C" "P-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] E
## Levels: A C D E G H K L N P Q S V W
## 59 46 48 26 42 2 9
## Name "W-C" "F-C" "I-C" "F-B" "B-C" "B-H" "K-H"
## Density "0.0927" "0.0910" "0.0855" "0.0772" "0.0746" "0.0686" "0.0639"
## 49 39 47 8 19 13 28
## Name "K-C" "W-B" "H-C" "I-H" "W-H" "P-H" "I-B"
## Density "0.0612" "0.0573" "0.0428" "0.0397" "0.0387" "0.0367" "0.0337"
## 52 22 7 29 53 27 6
## Name "N-C" "B-B" "H-H" "K-B" "P-C" "H-B" "F-H"
## Density "0.0241" "0.0224" "0.0223" "0.0220" "0.0192" "0.0121" "0.0083"
## 12 32 5 33 25 45 60
## Name "N-H" "N-B" "E-H" "P-B" "E-B" "E-C" "Y-C"
## Density "0.0027" "0.0021" "0.0004" "0.0003" "0.0001" "0.0001" "0.0001"
## 1 3 4 10 11 14 15
## Name "A-H" "C-H" "D-H" "L-H" "M-H" "Q-H" "R-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 16 17 18 20 21 23 24
## Name "S-H" "T-H" "V-H" "Y-H" "A-B" "C-B" "D-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 30 31 34 35 36 37 38
## Name "L-B" "M-B" "Q-B" "R-B" "S-B" "T-B" "V-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 40 41 43 44 50 51 54
## Name "Y-B" "A-C" "C-C" "D-C" "L-C" "M-C" "Q-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 55 56 57 58
## Name "R-C" "S-C" "T-C" "V-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] L
## Levels: A C D E G H K L N P Q S V W
## 24 23 51 44 31 25 45
## Name "D-B" "C-B" "M-C" "D-C" "M-B" "E-B" "E-C"
## Density "0.3151" "0.2169" "0.1449" "0.1125" "0.1103" "0.0387" "0.0325"
## 38 34 43 54 58 4 3
## Name "V-B" "Q-B" "C-C" "Q-C" "V-C" "D-H" "C-H"
## Density "0.0089" "0.0083" "0.0055" "0.0023" "0.0017" "0.0016" "0.0003"
## 5 33 1 2 6 7 8
## Name "E-H" "P-B" "A-H" "B-H" "F-H" "H-H" "I-H"
## Density "0.0003" "0.0002" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 9 10 11 12 13 14 15
## Name "K-H" "L-H" "M-H" "N-H" "P-H" "Q-H" "R-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 16 17 18 19 20 21 22
## Name "S-H" "T-H" "V-H" "W-H" "Y-H" "A-B" "B-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 26 27 28 29 30 32 35
## Name "F-B" "H-B" "I-B" "K-B" "L-B" "N-B" "R-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 36 37 39 40 41 42 46
## Name "S-B" "T-B" "W-B" "Y-B" "A-C" "B-C" "F-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 47 48 49 50 52 53 55
## Name "H-C" "I-C" "K-C" "L-C" "N-C" "P-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] P
## Levels: A C D E G H K L N P Q S V W
## 15 20 55 60 35 40 46
## Name "R-H" "Y-H" "R-C" "Y-C" "R-B" "Y-B" "F-C"
## Density "0.3003" "0.2342" "0.2217" "0.1812" "0.0404" "0.0189" "0.0015"
## 9 6 19 5 2 12 13
## Name "K-H" "F-H" "W-H" "E-H" "B-H" "N-H" "P-H"
## Density "0.0005" "0.0004" "0.0003" "0.0002" "0.0001" "0.0001" "0.0001"
## 50 1 3 4 7 8 10
## Name "L-C" "A-H" "C-H" "D-H" "H-H" "I-H" "L-H"
## Density "0.0001" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 11 14 16 17 18 21 22
## Name "M-H" "Q-H" "S-H" "T-H" "V-H" "A-B" "B-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 23 24 25 26 27 28 29
## Name "C-B" "D-B" "E-B" "F-B" "H-B" "I-B" "K-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 30 31 32 33 34 36 37
## Name "L-B" "M-B" "N-B" "P-B" "Q-B" "S-B" "T-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 38 39 41 42 43 44 45
## Name "V-B" "W-B" "A-C" "B-C" "C-C" "D-C" "E-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 47 48 49 51 52 53 54
## Name "H-C" "I-C" "K-C" "M-C" "N-C" "P-C" "Q-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 58 59
## Name "S-C" "T-C" "V-C" "W-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] E
## Levels: A C D E G H K L N P Q S V W
## 7 46 59 9 8 48 19
## Name "H-H" "F-C" "W-C" "K-H" "I-H" "I-C" "W-H"
## Density "0.1038" "0.1036" "0.1008" "0.0954" "0.0736" "0.0695" "0.0625"
## 26 2 47 42 49 6 39
## Name "F-B" "B-H" "H-C" "B-C" "K-C" "F-H" "W-B"
## Density "0.0606" "0.0571" "0.0493" "0.0490" "0.0485" "0.0386" "0.0271"
## 28 13 22 29 52 53 27
## Name "I-B" "P-H" "B-B" "K-B" "N-C" "P-C" "H-B"
## Density "0.0154" "0.0092" "0.0084" "0.0082" "0.0070" "0.0068" "0.0049"
## 32 5 12 1 3 4 10
## Name "N-B" "E-H" "N-H" "A-H" "C-H" "D-H" "L-H"
## Density "0.0003" "0.0001" "0.0001" "0.0000" "0.0000" "0.0000" "0.0000"
## 11 14 15 16 17 18 20
## Name "M-H" "Q-H" "R-H" "S-H" "T-H" "V-H" "Y-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 21 23 24 25 30 31 33
## Name "A-B" "C-B" "D-B" "E-B" "L-B" "M-B" "P-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 34 35 36 37 38 40 41
## Name "Q-B" "R-B" "S-B" "T-B" "V-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 50 51 54 55
## Name "C-C" "D-C" "E-C" "L-C" "M-C" "Q-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 58 60
## Name "S-C" "T-C" "V-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] C
## Levels: A C D E G H K L N P Q S V W
## 45 58 5 54 3 25 53
## Name "E-C" "V-C" "E-H" "Q-C" "C-H" "E-B" "P-C"
## Density "0.1450" "0.1410" "0.1346" "0.1086" "0.0950" "0.0711" "0.0508"
## 33 32 38 29 14 43 40
## Name "P-B" "N-B" "V-B" "K-B" "Q-H" "C-C" "Y-B"
## Density "0.0484" "0.0456" "0.0264" "0.0166" "0.0165" "0.0153" "0.0129"
## 18 52 34 4 50 30 49
## Name "V-H" "N-C" "Q-B" "D-H" "L-C" "L-B" "K-C"
## Density "0.0113" "0.0109" "0.0083" "0.0076" "0.0074" "0.0070" "0.0044"
## 28 44 23 60 39 22 13
## Name "I-B" "D-C" "C-B" "Y-C" "W-B" "B-B" "P-H"
## Density "0.0041" "0.0022" "0.0015" "0.0015" "0.0014" "0.0012" "0.0011"
## 51 31 24 46 27 42 26
## Name "M-C" "M-B" "D-B" "F-C" "H-B" "B-C" "F-B"
## Density "0.0010" "0.0005" "0.0003" "0.0003" "0.0002" "0.0002" "0.0001"
## 1 2 6 7 8 9 10
## Name "A-H" "B-H" "F-H" "H-H" "I-H" "K-H" "L-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 11 12 15 16 17 19 20
## Name "M-H" "N-H" "R-H" "S-H" "T-H" "W-H" "Y-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 21 35 36 37 41 47 48
## Name "A-B" "R-B" "S-B" "T-B" "A-C" "H-C" "I-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 55 56 57 59
## Name "R-C" "S-C" "T-C" "W-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] Q
## Levels: A C D E G H K L N P Q S V W
## 19 6 9 46 8 7 59
## Name "W-H" "F-H" "K-H" "F-C" "I-H" "H-H" "W-C"
## Density "0.1595" "0.1552" "0.1179" "0.1102" "0.0968" "0.0927" "0.0818"
## 2 48 26 42 49 47 39
## Name "B-H" "I-C" "F-B" "B-C" "K-C" "H-C" "W-B"
## Density "0.0444" "0.0385" "0.0242" "0.0227" "0.0188" "0.0162" "0.0104"
## 28 52 13 22 29 53 27
## Name "I-B" "N-C" "P-H" "B-B" "K-B" "P-C" "H-B"
## Density "0.0032" "0.0027" "0.0013" "0.0013" "0.0010" "0.0010" "0.0002"
## 1 3 4 5 10 11 12
## Name "A-H" "C-H" "D-H" "E-H" "L-H" "M-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 14 15 16 17 18 20 21
## Name "Q-H" "R-H" "S-H" "T-H" "V-H" "Y-H" "A-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 23 24 25 30 31 32 33
## Name "C-B" "D-B" "E-B" "L-B" "M-B" "N-B" "P-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 34 35 36 37 38 40 41
## Name "Q-B" "R-B" "S-B" "T-B" "V-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 50 51 54 55
## Name "C-C" "D-C" "E-C" "L-C" "M-C" "Q-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 58 60
## Name "S-C" "T-C" "V-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] E
## Levels: A C D E G H K L N P Q S V W
## 59 46 48 26 42 2 39
## Name "W-C" "F-C" "I-C" "F-B" "B-C" "B-H" "W-B"
## Density "0.0910" "0.0891" "0.0848" "0.0765" "0.0761" "0.0690" "0.0611"
## 49 9 13 47 19 8 28
## Name "K-C" "K-H" "P-H" "H-C" "W-H" "I-H" "I-B"
## Density "0.0611" "0.0610" "0.0419" "0.0394" "0.0375" "0.0365" "0.0354"
## 52 22 29 53 7 27 6
## Name "N-C" "B-B" "K-B" "P-C" "H-H" "H-B" "F-H"
## Density "0.0278" "0.0238" "0.0234" "0.0209" "0.0170" "0.0121" "0.0068"
## 12 32 5 33 45 25 60
## Name "N-H" "N-B" "E-H" "P-B" "E-C" "E-B" "Y-C"
## Density "0.0041" "0.0026" "0.0004" "0.0004" "0.0002" "0.0001" "0.0001"
## 1 3 4 10 11 14 15
## Name "A-H" "C-H" "D-H" "L-H" "M-H" "Q-H" "R-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 16 17 18 20 21 23 24
## Name "S-H" "T-H" "V-H" "Y-H" "A-B" "C-B" "D-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 30 31 34 35 36 37 38
## Name "L-B" "M-B" "Q-B" "R-B" "S-B" "T-B" "V-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 40 41 43 44 50 51 54
## Name "Y-B" "A-C" "C-C" "D-C" "L-C" "M-C" "Q-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 55 56 57 58
## Name "R-C" "S-C" "T-C" "V-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] D
## Levels: A C D E G H K L N P Q S V W
## 31 24 51 25 23 45 34
## Name "M-B" "D-B" "M-C" "E-B" "C-B" "E-C" "Q-B"
## Density "0.2726" "0.2066" "0.1876" "0.1146" "0.0584" "0.0497" "0.0376"
## 44 38 54 4 58 11 5
## Name "D-C" "V-B" "Q-C" "D-H" "V-C" "M-H" "E-H"
## Density "0.0320" "0.0275" "0.0047" "0.0034" "0.0021" "0.0015" "0.0010"
## 3 33 43 1 2 6 7
## Name "C-H" "P-B" "C-C" "A-H" "B-H" "F-H" "H-H"
## Density "0.0002" "0.0002" "0.0002" "0.0000" "0.0000" "0.0000" "0.0000"
## 8 9 10 12 13 14 15
## Name "I-H" "K-H" "L-H" "N-H" "P-H" "Q-H" "R-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 16 17 18 19 20 21 22
## Name "S-H" "T-H" "V-H" "W-H" "Y-H" "A-B" "B-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 26 27 28 29 30 32 35
## Name "F-B" "H-B" "I-B" "K-B" "L-B" "N-B" "R-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 36 37 39 40 41 42 46
## Name "S-B" "T-B" "W-B" "Y-B" "A-C" "B-C" "F-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 47 48 49 50 52 53 55
## Name "H-C" "I-C" "K-C" "L-C" "N-C" "P-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] A
## Levels: A C D E G H K L N P Q S V W
## 41 1 21 2 3 4 5
## Name "A-C" "A-H" "A-B" "B-H" "C-H" "D-H" "E-H"
## Density "0.4988" "0.3596" "0.1416" "0.0000" "0.0000" "0.0000" "0.0000"
## 6 7 8 9 10 11 12
## Name "F-H" "H-H" "I-H" "K-H" "L-H" "M-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 13 14 15 16 17 18 19
## Name "P-H" "Q-H" "R-H" "S-H" "T-H" "V-H" "W-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 20 22 23 24 25 26 27
## Name "Y-H" "B-B" "C-B" "D-B" "E-B" "F-B" "H-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 28 29 30 31 32 33 34
## Name "I-B" "K-B" "L-B" "M-B" "N-B" "P-B" "Q-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 35 36 37 38 39 40 42
## Name "R-B" "S-B" "T-B" "V-B" "W-B" "Y-B" "B-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 46 47 48 49
## Name "C-C" "D-C" "E-C" "F-C" "H-C" "I-C" "K-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 50 51 52 53 54 55 56
## Name "L-C" "M-C" "N-C" "P-C" "Q-C" "R-C" "S-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 57 58 59 60
## Name "T-C" "V-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] N
## Levels: A C D E G H K L N P Q S V W
## 23 43 45 25 3 33 44
## Name "C-B" "C-C" "E-C" "E-B" "C-H" "P-B" "D-C"
## Density "0.4204" "0.4105" "0.0494" "0.0213" "0.0172" "0.0158" "0.0113"
## 24 58 32 53 54 5 28
## Name "D-B" "V-C" "N-B" "P-C" "Q-C" "E-H" "I-B"
## Density "0.0111" "0.0098" "0.0072" "0.0070" "0.0040" "0.0030" "0.0023"
## 22 29 4 38 51 27 52
## Name "B-B" "K-B" "D-H" "V-B" "M-C" "H-B" "N-C"
## Density "0.0019" "0.0015" "0.0014" "0.0014" "0.0014" "0.0006" "0.0006"
## 31 34 49 39 1 2 6
## Name "M-B" "Q-B" "K-C" "W-B" "A-H" "B-H" "F-H"
## Density "0.0003" "0.0003" "0.0003" "0.0001" "0.0000" "0.0000" "0.0000"
## 7 8 9 10 11 12 13
## Name "H-H" "I-H" "K-H" "L-H" "M-H" "N-H" "P-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 14 15 16 17 18 19 20
## Name "Q-H" "R-H" "S-H" "T-H" "V-H" "W-H" "Y-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 21 26 30 35 36 37 40
## Name "A-B" "F-B" "L-B" "R-B" "S-B" "T-B" "Y-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 41 42 46 47 48 50 55
## Name "A-C" "B-C" "F-C" "H-C" "I-C" "L-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] K
## Levels: A C D E G H K L N P Q S V W
## 46 59 7 9 48 26 47
## Name "F-C" "W-C" "H-H" "K-H" "I-C" "F-B" "H-C"
## Density "0.1040" "0.1004" "0.0875" "0.0832" "0.0764" "0.0714" "0.0618"
## 49 42 8 2 19 39 6
## Name "K-C" "B-C" "I-H" "B-H" "W-H" "W-B" "F-H"
## Density "0.0593" "0.0567" "0.0535" "0.0521" "0.0474" "0.0321" "0.0295"
## 28 29 13 22 53 27 52
## Name "I-B" "K-B" "P-H" "B-B" "P-C" "H-B" "N-C"
## Density "0.0207" "0.0124" "0.0122" "0.0120" "0.0097" "0.0089" "0.0081"
## 32 5 12 33 1 3 4
## Name "N-B" "E-H" "N-H" "P-B" "A-H" "C-H" "D-H"
## Density "0.0005" "0.0001" "0.0001" "0.0001" "0.0000" "0.0000" "0.0000"
## 10 11 14 15 16 17 18
## Name "L-H" "M-H" "Q-H" "R-H" "S-H" "T-H" "V-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 20 21 23 24 25 30 31
## Name "Y-H" "A-B" "C-B" "D-B" "E-B" "L-B" "M-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 34 35 36 37 38 40 41
## Name "Q-B" "R-B" "S-B" "T-B" "V-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 50 51 54 55
## Name "C-C" "D-C" "E-C" "L-C" "M-C" "Q-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 58 60
## Name "S-C" "T-C" "V-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] V
## Levels: A C D E G H K L N P Q S V W
## 40 60 35 13 55 5 12
## Name "Y-B" "Y-C" "R-B" "P-H" "R-C" "E-H" "N-H"
## Density "0.3893" "0.3177" "0.1276" "0.0636" "0.0241" "0.0233" "0.0146"
## 50 46 30 58 9 52 45
## Name "L-C" "F-C" "L-B" "V-C" "K-H" "N-C" "E-C"
## Density "0.0086" "0.0071" "0.0041" "0.0028" "0.0027" "0.0025" "0.0023"
## 54 10 49 39 19 2 29
## Name "Q-C" "L-H" "K-C" "W-B" "W-H" "B-H" "K-B"
## Density "0.0022" "0.0016" "0.0013" "0.0011" "0.0006" "0.0004" "0.0004"
## 42 14 15 18 20 59 26
## Name "B-C" "Q-H" "R-H" "V-H" "Y-H" "W-C" "F-B"
## Density "0.0004" "0.0003" "0.0002" "0.0002" "0.0002" "0.0002" "0.0001"
## 53 1 3 4 6 7 8
## Name "P-C" "A-H" "C-H" "D-H" "F-H" "H-H" "I-H"
## Density "0.0001" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 11 16 17 21 22 23 24
## Name "M-H" "S-H" "T-H" "A-B" "B-B" "C-B" "D-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 25 27 28 31 32 33 34
## Name "E-B" "H-B" "I-B" "M-B" "N-B" "P-B" "Q-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 36 37 38 41 43 44 47
## Name "S-B" "T-B" "V-B" "A-C" "C-C" "D-C" "H-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 48 51 56 57
## Name "I-C" "M-C" "S-C" "T-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] C
## Levels: A C D E G H K L N P Q S V W
## 45 4 54 58 38 25 34
## Name "E-C" "D-H" "Q-C" "V-C" "V-B" "E-B" "Q-B"
## Density "0.1324" "0.1151" "0.1131" "0.1086" "0.1082" "0.0845" "0.0782"
## 3 5 44 51 30 11 50
## Name "C-H" "E-H" "D-C" "M-C" "L-B" "M-H" "L-C"
## Density "0.0620" "0.0590" "0.0352" "0.0276" "0.0131" "0.0125" "0.0102"
## 24 14 31 33 43 23 18
## Name "D-B" "Q-H" "M-B" "P-B" "C-C" "C-B" "V-H"
## Density "0.0096" "0.0082" "0.0061" "0.0047" "0.0042" "0.0035" "0.0021"
## 53 32 29 40 1 2 6
## Name "P-C" "N-B" "K-B" "Y-B" "A-H" "B-H" "F-H"
## Density "0.0012" "0.0004" "0.0002" "0.0002" "0.0000" "0.0000" "0.0000"
## 7 8 9 10 12 13 15
## Name "H-H" "I-H" "K-H" "L-H" "N-H" "P-H" "R-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 16 17 19 20 21 22 26
## Name "S-H" "T-H" "W-H" "Y-H" "A-B" "B-B" "F-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 27 28 35 36 37 39 41
## Name "H-B" "I-B" "R-B" "S-B" "T-B" "W-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 42 46 47 48 49 52 55
## Name "B-C" "F-C" "H-C" "I-C" "K-C" "N-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] S
## Levels: A C D E G H K L N P Q S V W
## 56 36 16 1 2 3 4
## Name "S-C" "S-B" "S-H" "A-H" "B-H" "C-H" "D-H"
## Density "0.5308" "0.4163" "0.0529" "0.0000" "0.0000" "0.0000" "0.0000"
## 5 6 7 8 9 10 11
## Name "E-H" "F-H" "H-H" "I-H" "K-H" "L-H" "M-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 12 13 14 15 17 18 19
## Name "N-H" "P-H" "Q-H" "R-H" "T-H" "V-H" "W-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 20 21 22 23 24 25 26
## Name "Y-H" "A-B" "B-B" "C-B" "D-B" "E-B" "F-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 27 28 29 30 31 32 33
## Name "H-B" "I-B" "K-B" "L-B" "M-B" "N-B" "P-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 34 35 37 38 39 40 41
## Name "Q-B" "R-B" "T-B" "V-B" "W-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 42 43 44 45 46 47 48
## Name "B-C" "C-C" "D-C" "E-C" "F-C" "H-C" "I-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 49 50 51 52 53 54 55
## Name "K-C" "L-C" "M-C" "N-C" "P-C" "Q-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 57 58 59 60
## Name "T-C" "V-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] L
## Levels: A C D E G H K L N P Q S V W
## 45 11 5 38 34 30 54
## Name "E-C" "M-H" "E-H" "V-B" "Q-B" "L-B" "Q-C"
## Density "0.1630" "0.1284" "0.1056" "0.1026" "0.0931" "0.0896" "0.0893"
## 25 4 58 50 51 14 24
## Name "E-B" "D-H" "V-C" "L-C" "M-C" "Q-H" "D-B"
## Density "0.0631" "0.0607" "0.0526" "0.0213" "0.0209" "0.0036" "0.0035"
## 44 31 3 18 23 1 2
## Name "D-C" "M-B" "C-H" "V-H" "C-B" "A-H" "B-H"
## Density "0.0015" "0.0006" "0.0003" "0.0002" "0.0001" "0.0000" "0.0000"
## 6 7 8 9 10 12 13
## Name "F-H" "H-H" "I-H" "K-H" "L-H" "N-H" "P-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 15 16 17 19 20 21 22
## Name "R-H" "S-H" "T-H" "W-H" "Y-H" "A-B" "B-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 26 27 28 29 32 33 35
## Name "F-B" "H-B" "I-B" "K-B" "N-B" "P-B" "R-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 36 37 39 40 41 42 43
## Name "S-B" "T-B" "W-B" "Y-B" "A-C" "B-C" "C-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 46 47 48 49 52 53 55
## Name "F-C" "H-C" "I-C" "K-C" "N-C" "P-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] Q
## Levels: A C D E G H K L N P Q S V W
## 6 46 47 59 49 9 7
## Name "F-H" "F-C" "H-C" "W-C" "K-C" "K-H" "H-H"
## Density "0.1874" "0.1689" "0.1222" "0.1063" "0.0987" "0.0679" "0.0555"
## 26 48 19 42 28 39 27
## Name "F-B" "I-C" "W-H" "B-C" "I-B" "W-B" "H-B"
## Density "0.0534" "0.0363" "0.0299" "0.0261" "0.0093" "0.0080" "0.0063"
## 8 29 2 53 22 13 52
## Name "I-H" "K-B" "B-H" "P-C" "B-B" "P-H" "N-C"
## Density "0.0057" "0.0057" "0.0043" "0.0036" "0.0032" "0.0006" "0.0006"
## 1 3 4 5 10 11 12
## Name "A-H" "C-H" "D-H" "E-H" "L-H" "M-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 14 15 16 17 18 20 21
## Name "Q-H" "R-H" "S-H" "T-H" "V-H" "Y-H" "A-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 23 24 25 30 31 32 33
## Name "C-B" "D-B" "E-B" "L-B" "M-B" "N-B" "P-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 34 35 36 37 38 40 41
## Name "Q-B" "R-B" "S-B" "T-B" "V-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 50 51 54 55
## Name "C-C" "D-C" "E-C" "L-C" "M-C" "Q-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 58 60
## Name "S-C" "T-C" "V-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] C
## Levels: A C D E G H K L N P Q S V W
## 44 23 24 25 45 51 43
## Name "D-C" "C-B" "D-B" "E-B" "E-C" "M-C" "C-C"
## Density "0.1857" "0.1319" "0.1099" "0.0870" "0.0797" "0.0786" "0.0477"
## 4 31 38 3 34 58 54
## Name "D-H" "M-B" "V-B" "C-H" "Q-B" "V-C" "Q-C"
## Density "0.0463" "0.0450" "0.0448" "0.0419" "0.0337" "0.0252" "0.0245"
## 33 5 53 11 32 50 14
## Name "P-B" "E-H" "P-C" "M-H" "N-B" "L-C" "Q-H"
## Density "0.0088" "0.0065" "0.0011" "0.0007" "0.0007" "0.0002" "0.0001"
## 29 30 1 2 6 7 8
## Name "K-B" "L-B" "A-H" "B-H" "F-H" "H-H" "I-H"
## Density "0.0001" "0.0001" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 9 10 12 13 15 16 17
## Name "K-H" "L-H" "N-H" "P-H" "R-H" "S-H" "T-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 18 19 20 21 22 26 27
## Name "V-H" "W-H" "Y-H" "A-B" "B-B" "F-B" "H-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 28 35 36 37 39 40 41
## Name "I-B" "R-B" "S-B" "T-B" "W-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 42 46 47 48 49 52 55
## Name "B-C" "F-C" "H-C" "I-C" "K-C" "N-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] N
## Levels: A C D E G H K L N P Q S V W
## 23 44 24 43 51 45 25
## Name "C-B" "D-C" "D-B" "C-C" "M-C" "E-C" "E-B"
## Density "0.3676" "0.1747" "0.1431" "0.1218" "0.0448" "0.0442" "0.0336"
## 31 3 38 58 4 54 34
## Name "M-B" "C-H" "V-B" "V-C" "D-H" "Q-C" "Q-B"
## Density "0.0164" "0.0119" "0.0094" "0.0082" "0.0080" "0.0061" "0.0051"
## 33 5 53 32 1 2 6
## Name "P-B" "E-H" "P-C" "N-B" "A-H" "B-H" "F-H"
## Density "0.0026" "0.0013" "0.0006" "0.0005" "0.0000" "0.0000" "0.0000"
## 7 8 9 10 11 12 13
## Name "H-H" "I-H" "K-H" "L-H" "M-H" "N-H" "P-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 14 15 16 17 18 19 20
## Name "Q-H" "R-H" "S-H" "T-H" "V-H" "W-H" "Y-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 21 22 26 27 28 29 30
## Name "A-B" "B-B" "F-B" "H-B" "I-B" "K-B" "L-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 35 36 37 39 40 41 42
## Name "R-B" "S-B" "T-B" "W-B" "Y-B" "A-C" "B-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 46 47 48 49 50 52 55
## Name "F-C" "H-C" "I-C" "K-C" "L-C" "N-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] N
## Levels: A C D E G H K L N P Q S V W
## 23 43 44 24 45 51 25
## Name "C-B" "C-C" "D-C" "D-B" "E-C" "M-C" "E-B"
## Density "0.4554" "0.1776" "0.1305" "0.1178" "0.0372" "0.0256" "0.0204"
## 3 58 31 38 4 54 34
## Name "C-H" "V-C" "M-B" "V-B" "D-H" "Q-C" "Q-B"
## Density "0.0072" "0.0059" "0.0058" "0.0043" "0.0036" "0.0036" "0.0018"
## 33 5 53 32 1 2 6
## Name "P-B" "E-H" "P-C" "N-B" "A-H" "B-H" "F-H"
## Density "0.0014" "0.0009" "0.0005" "0.0004" "0.0000" "0.0000" "0.0000"
## 7 8 9 10 11 12 13
## Name "H-H" "I-H" "K-H" "L-H" "M-H" "N-H" "P-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 14 15 16 17 18 19 20
## Name "Q-H" "R-H" "S-H" "T-H" "V-H" "W-H" "Y-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 21 22 26 27 28 29 30
## Name "A-B" "B-B" "F-B" "H-B" "I-B" "K-B" "L-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 35 36 37 39 40 41 42
## Name "R-B" "S-B" "T-B" "W-B" "Y-B" "A-C" "B-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 46 47 48 49 50 52 55
## Name "F-C" "H-C" "I-C" "K-C" "L-C" "N-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] H
## Levels: A C D E G H K L N P Q S V W
## 19 2 9 46 8 59 42
## Name "W-H" "B-H" "K-H" "F-C" "I-H" "W-C" "B-C"
## Density "0.1585" "0.1582" "0.1578" "0.1097" "0.0845" "0.0652" "0.0354"
## 48 39 26 13 6 49 52
## Name "I-C" "W-B" "F-B" "P-H" "F-H" "K-C" "N-C"
## Density "0.0349" "0.0297" "0.0264" "0.0262" "0.0235" "0.0208" "0.0191"
## 12 7 60 28 47 29 53
## Name "N-H" "H-H" "Y-C" "I-B" "H-C" "K-B" "P-C"
## Density "0.0119" "0.0074" "0.0066" "0.0053" "0.0051" "0.0030" "0.0028"
## 22 35 40 55 5 27 32
## Name "B-B" "R-B" "Y-B" "R-C" "E-H" "H-B" "N-B"
## Density "0.0024" "0.0020" "0.0017" "0.0009" "0.0005" "0.0002" "0.0002"
## 45 1 3 4 10 11 14
## Name "E-C" "A-H" "C-H" "D-H" "L-H" "M-H" "Q-H"
## Density "0.0001" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 15 16 17 18 20 21 23
## Name "R-H" "S-H" "T-H" "V-H" "Y-H" "A-B" "C-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 24 25 30 31 33 34 36
## Name "D-B" "E-B" "L-B" "M-B" "P-B" "Q-B" "S-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 37 38 41 43 44 50 51
## Name "T-B" "V-B" "A-C" "C-C" "D-C" "L-C" "M-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 54 56 57 58
## Name "Q-C" "S-C" "T-C" "V-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] A
## Levels: A C D E G H K L N P Q S V W
## 1 41 21 2 3 4 5
## Name "A-H" "A-C" "A-B" "B-H" "C-H" "D-H" "E-H"
## Density "0.7127" "0.2588" "0.0285" "0.0000" "0.0000" "0.0000" "0.0000"
## 6 7 8 9 10 11 12
## Name "F-H" "H-H" "I-H" "K-H" "L-H" "M-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 13 14 15 16 17 18 19
## Name "P-H" "Q-H" "R-H" "S-H" "T-H" "V-H" "W-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 20 22 23 24 25 26 27
## Name "Y-H" "B-B" "C-B" "D-B" "E-B" "F-B" "H-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 28 29 30 31 32 33 34
## Name "I-B" "K-B" "L-B" "M-B" "N-B" "P-B" "Q-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 35 36 37 38 39 40 42
## Name "R-B" "S-B" "T-B" "V-B" "W-B" "Y-B" "B-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 46 47 48 49
## Name "C-C" "D-C" "E-C" "F-C" "H-C" "I-C" "K-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 50 51 52 53 54 55 56
## Name "L-C" "M-C" "N-C" "P-C" "Q-C" "R-C" "S-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 57 58 59 60
## Name "T-C" "V-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] C
## Levels: A C D E G H K L N P Q S V W
## 31 25 51 24 45 34 38
## Name "M-B" "E-B" "M-C" "D-B" "E-C" "Q-B" "V-B"
## Density "0.3913" "0.2484" "0.1244" "0.1043" "0.0585" "0.0305" "0.0185"
## 23 54 44 5 58 4 11
## Name "C-B" "Q-C" "D-C" "E-H" "V-C" "D-H" "M-H"
## Density "0.0183" "0.0020" "0.0017" "0.0008" "0.0005" "0.0003" "0.0003"
## 30 1 2 3 6 7 8
## Name "L-B" "A-H" "B-H" "C-H" "F-H" "H-H" "I-H"
## Density "0.0001" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 9 10 12 13 14 15 16
## Name "K-H" "L-H" "N-H" "P-H" "Q-H" "R-H" "S-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 17 18 19 20 21 22 26
## Name "T-H" "V-H" "W-H" "Y-H" "A-B" "B-B" "F-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 27 28 29 32 33 35 36
## Name "H-B" "I-B" "K-B" "N-B" "P-B" "R-B" "S-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 37 39 40 41 42 43 46
## Name "T-B" "W-B" "Y-B" "A-C" "B-C" "C-C" "F-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 47 48 49 50 52 53 55
## Name "H-C" "I-C" "K-C" "L-C" "N-C" "P-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] W
## Levels: A C D E G H K L N P Q S V W
## 46 47 49 6 59 26 9
## Name "F-C" "H-C" "K-C" "F-H" "W-C" "F-B" "K-H"
## Density "0.1780" "0.1620" "0.1483" "0.1436" "0.0885" "0.0624" "0.0554"
## 48 7 42 19 27 28 29
## Name "I-C" "H-H" "B-C" "W-H" "H-B" "I-B" "K-B"
## Density "0.0310" "0.0284" "0.0274" "0.0148" "0.0137" "0.0119" "0.0110"
## 39 53 22 2 8 13 52
## Name "W-B" "P-C" "B-B" "B-H" "I-H" "P-H" "N-C"
## Density "0.0082" "0.0052" "0.0040" "0.0027" "0.0018" "0.0009" "0.0005"
## 1 3 4 5 10 11 12
## Name "A-H" "C-H" "D-H" "E-H" "L-H" "M-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 14 15 16 17 18 20 21
## Name "Q-H" "R-H" "S-H" "T-H" "V-H" "Y-H" "A-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 23 24 25 30 31 32 33
## Name "C-B" "D-B" "E-B" "L-B" "M-B" "N-B" "P-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 34 35 36 37 38 40 41
## Name "Q-B" "R-B" "S-B" "T-B" "V-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 43 44 45 50 51 54 55
## Name "C-C" "D-C" "E-C" "L-C" "M-C" "Q-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 58 60
## Name "S-C" "T-C" "V-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] D
## Levels: A C D E G H K L N P Q S V W
## 44 25 24 23 45 51 4
## Name "D-C" "E-B" "D-B" "C-B" "E-C" "M-C" "D-H"
## Density "0.1684" "0.0984" "0.0951" "0.0909" "0.0888" "0.0825" "0.0613"
## 38 3 31 34 43 54 58
## Name "V-B" "C-H" "M-B" "Q-B" "C-C" "Q-C" "V-C"
## Density "0.0583" "0.0463" "0.0463" "0.0461" "0.0329" "0.0317" "0.0310"
## 33 5 11 53 32 50 30
## Name "P-B" "E-H" "M-H" "P-C" "N-B" "L-C" "L-B"
## Density "0.0090" "0.0089" "0.0017" "0.0010" "0.0006" "0.0004" "0.0003"
## 14 29 1 2 6 7 8
## Name "Q-H" "K-B" "A-H" "B-H" "F-H" "H-H" "I-H"
## Density "0.0001" "0.0001" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 9 10 12 13 15 16 17
## Name "K-H" "L-H" "N-H" "P-H" "R-H" "S-H" "T-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 18 19 20 21 22 26 27
## Name "V-H" "W-H" "Y-H" "A-B" "B-B" "F-B" "H-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 28 35 36 37 39 40 41
## Name "I-B" "R-B" "S-B" "T-B" "W-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 42 46 47 48 49 52 55
## Name "B-C" "F-C" "H-C" "I-C" "K-C" "N-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] D
## Levels: A C D E G H K L N P Q S V W
## 34 45 11 38 25 4 51
## Name "Q-B" "E-C" "M-H" "V-B" "E-B" "D-H" "M-C"
## Density "0.1370" "0.1305" "0.1303" "0.1260" "0.1147" "0.0832" "0.0686"
## 54 58 5 24 30 44 31
## Name "Q-C" "V-C" "E-H" "D-B" "L-B" "D-C" "M-B"
## Density "0.0617" "0.0371" "0.0348" "0.0232" "0.0162" "0.0146" "0.0117"
## 50 3 23 14 33 43 1
## Name "L-C" "C-H" "C-B" "Q-H" "P-B" "C-C" "A-H"
## Density "0.0051" "0.0025" "0.0018" "0.0006" "0.0003" "0.0001" "0.0000"
## 2 6 7 8 9 10 12
## Name "B-H" "F-H" "H-H" "I-H" "K-H" "L-H" "N-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 13 15 16 17 18 19 20
## Name "P-H" "R-H" "S-H" "T-H" "V-H" "W-H" "Y-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 21 22 26 27 28 29 32
## Name "A-B" "B-B" "F-B" "H-B" "I-B" "K-B" "N-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 35 36 37 39 40 41 42
## Name "R-B" "S-B" "T-B" "W-B" "Y-B" "A-C" "B-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 46 47 48 49 52 53 55
## Name "F-C" "H-C" "I-C" "K-C" "N-C" "P-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] C
## Levels: A C D E G H K L N P Q S V W
## 31 25 51 24 45 34 38
## Name "M-B" "E-B" "M-C" "D-B" "E-C" "Q-B" "V-B"
## Density "0.2642" "0.2378" "0.1606" "0.1245" "0.0764" "0.0592" "0.0380"
## 23 44 54 11 4 5 58
## Name "C-B" "D-C" "Q-C" "M-H" "D-H" "E-H" "V-C"
## Density "0.0189" "0.0056" "0.0054" "0.0030" "0.0022" "0.0021" "0.0017"
## 30 33 1 2 3 6 7
## Name "L-B" "P-B" "A-H" "B-H" "C-H" "F-H" "H-H"
## Density "0.0002" "0.0001" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 8 9 10 12 13 14 15
## Name "I-H" "K-H" "L-H" "N-H" "P-H" "Q-H" "R-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 16 17 18 19 20 21 22
## Name "S-H" "T-H" "V-H" "W-H" "Y-H" "A-B" "B-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 26 27 28 29 32 35 36
## Name "F-B" "H-B" "I-B" "K-B" "N-B" "R-B" "S-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 37 39 40 41 42 43 46
## Name "T-B" "W-B" "Y-B" "A-C" "B-C" "C-C" "F-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 47 48 49 50 52 53 55
## Name "H-C" "I-C" "K-C" "L-C" "N-C" "P-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 56 57 59 60
## Name "S-C" "T-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"
## [1] S
## Levels: A C D E G H K L N P Q S V W
## 16 56 36 1 2 3 4
## Name "S-H" "S-C" "S-B" "A-H" "B-H" "C-H" "D-H"
## Density "0.4859" "0.3789" "0.1351" "0.0000" "0.0000" "0.0000" "0.0000"
## 5 6 7 8 9 10 11
## Name "E-H" "F-H" "H-H" "I-H" "K-H" "L-H" "M-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 12 13 14 15 17 18 19
## Name "N-H" "P-H" "Q-H" "R-H" "T-H" "V-H" "W-H"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 20 21 22 23 24 25 26
## Name "Y-H" "A-B" "B-B" "C-B" "D-B" "E-B" "F-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 27 28 29 30 31 32 33
## Name "H-B" "I-B" "K-B" "L-B" "M-B" "N-B" "P-B"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 34 35 37 38 39 40 41
## Name "Q-B" "R-B" "T-B" "V-B" "W-B" "Y-B" "A-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 42 43 44 45 46 47 48
## Name "B-C" "C-C" "D-C" "E-C" "F-C" "H-C" "I-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 49 50 51 52 53 54 55
## Name "K-C" "L-C" "M-C" "N-C" "P-C" "Q-C" "R-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000" "0.0000"
## 57 58 59 60
## Name "T-C" "V-C" "W-C" "Y-C"
## Density "0.0000" "0.0000" "0.0000" "0.0000"Note that the echo = FALSE parameter was added to the code chunk to prevent printing of the R code that generated the plot.