Discriminant Analysis with Various Examples

Data Mining

Description for Discriminant Analysis with Various Examples

Yeongeun Jeon , Jung In Seo
2023-06-21

Discriminant Analysis의 장점


Discriminant Analysis의 단점



예제 1


1. 데이터 불러오기

mowers <- read.csv("RidingMowers.csv")
head(mowers)
  Income Lot_Size Ownership
1   60.0     18.4     Owner
2   85.5     16.8     Owner
3   64.8     21.6     Owner
4   61.5     20.8     Owner
5   87.0     23.6     Owner
6  110.1     19.2     Owner

2. 데이터 전처리

pacman::p_load("dplyr")

## 예측변수 선택
mowers.X <- mowers %>%
  dplyr::select(1:2)                             

head(mowers.X)
  Income Lot_Size
1   60.0     18.4
2   85.5     16.8
3   64.8     21.6
4   61.5     20.8
5   87.0     23.6
6  110.1     19.2
## 표준화
# mowers.X <- scale(mowers.X)

3. 공분산행렬의 동일성 검정

pacman::p_load("biotools")

mowers.boxM <- boxM(mowers.X,                     # Features
                    mowers$Ownership)             # Target
mowers.boxM

    Box's M-test for Homogeneity of Covariance Matrices

data:  mowers.X
Chi-Sq (approx.) = 0.99346, df = 3, p-value = 0.8028

Result! 가설 \(H_0 : \boldsymbol{\Sigma}_{\text{Owner}}=\boldsymbol{\Sigma}_{\text{Nonowner}}\) vs \(H_1 : \boldsymbol{\Sigma}_{\text{Owner}}\ne\boldsymbol{\Sigma}_{\text{Nonowner}}\)에 대하여, 카이제곱 검정통계량 \(\chi^2\) 값은 0.99346, \(p\)값은 0.8028이다. 이에 근거하여, 유의수준 5%에서 \(p\)값이 0.05보다 크기 때문에 귀무가설 \(H_0\)를 기각할 수 없다. 즉, 두 클래스의 공분산행렬이 동일하지 않다는 증거가 부족하다.


4. 선형판별분석(LDA)

# 함수 lda
pacman::p_load("MASS")

mowers.lda <- lda(Ownership ~ Income + Lot_Size,    # formula : 반응변수(클래스) ~ 예측변수
                  # prior = c(1/2, 1/2),            # 사전확률
                  data = mowers)               
mowers.lda
Call:
lda(Ownership ~ Income + Lot_Size, data = mowers)

Prior probabilities of groups:
Nonowner    Owner 
     0.5      0.5 

Group means:
         Income Lot_Size
Nonowner 57.400 17.63333
Owner    79.475 20.26667

Coefficients of linear discriminants:
               LD1
Income   0.0484468
Lot_Size 0.3795228

Result! “Prior probabilities of groups”는 사전확률을 의미하며, 함수 lda()의 옵션 prior을 이용하여 직접 지정할 수 있다. 만약 옵션으로 따로 지정해주지 않는다면, 예제처럼 데이터에서 계산된 각 클래스의 비율이 사전확률로 지정된다. 즉, 데이터 “mowers”에서 잔디 깎기 기계 소유 집단과 그렇지 않은 집단의 비율은 각각 50%이다. “Groups means”는 판별변수들의 클래스별 평균을 의미한다. “Coefficients of linear discriminants”는 선형판별계수로 이 계수들을 이용하여 선형판별함수 \(L(\boldsymbol{x})\)를 표현하면 다음과 같다.

\[ \begin{align} 0.0484(x_{\text{Income}}-\bar{x}_{\text{Income}})+0.3795(x_{\text{Lot_Size}}-\bar{x}_{\text{Lot_Size}}). \end{align} \] 여기서, \(\bar{x}_i\)\(i\)번째 예측변수의 전체 평균을 의미한다.
선형판별계수들의 부호에 관심을 가지고 이를 해석해보면, Income과 Lot_Size가 클수록 \(L(\boldsymbol{x})\)가 커지며, 이는 잔디 깎기 기계를 소유할 확률이 커진다는 것을 의미한다. 반면, \(L(\boldsymbol{x})\)이 작을수록 잔디 깎기 기계를 소유하지 않을 확률이 커진다.


# 새로운 개체에 대한 클래스 예측
pred.mowers <- predict(mowers.lda,                  # 함수 lda로부터 출력된 객체
                       mowers)                      # 새로운 데이터
pred.mowers
$class
 [1] Nonowner Owner    Owner    Owner    Owner    Owner    Owner   
 [8] Owner    Owner    Owner    Owner    Owner    Owner    Nonowner
[15] Nonowner Nonowner Owner    Nonowner Nonowner Nonowner Nonowner
[22] Nonowner Nonowner Nonowner
Levels: Nonowner Owner

$posterior
     Nonowner       Owner
1  0.78203155 0.217968446
2  0.49449211 0.505507885
3  0.15236751 0.847632493
4  0.31924493 0.680755073
5  0.00402325 0.995976750
6  0.01246680 0.987533203
7  0.05188913 0.948110866
8  0.01554353 0.984456467
9  0.29300716 0.706992840
10 0.01956031 0.980439689
11 0.34365520 0.656344803
12 0.11070233 0.889297671
13 0.23719290 0.762807097
14 0.52865847 0.471341530
15 0.85051690 0.149483096
16 0.80075893 0.199241067
17 0.37757951 0.622420495
18 0.95203727 0.047962735
19 0.96165849 0.038341510
20 0.66288177 0.337118228
21 0.98387005 0.016129950
22 0.97514892 0.024851077
23 0.99644001 0.003559993
24 0.97819391 0.021806086

$x
           LD1
1  -0.61750748
2   0.01064948
3   0.82951029
4   0.36601756
5   2.66407504
6   2.11329570
7   1.40432086
8   2.00517105
9   0.42575032
10  1.89209190
11  0.31275353
12  1.00711197
13  0.56462200
14 -0.05546964
15 -0.84039023
16 -0.67236810
17  0.24159755
18 -1.44435124
19 -1.55743039
20 -0.32682665
21 -1.98698291
22 -1.77376206
23 -2.72342924
24 -1.83844931
# 선형판별점수, 예측 확률, 예측 클래스
pf <- cbind(mowers, pred.mowers$x, pred.mowers$posterior, pred.mowers$class)
pf
   Income Lot_Size Ownership         LD1   Nonowner       Owner
1    60.0     18.4     Owner -0.61750748 0.78203155 0.217968446
2    85.5     16.8     Owner  0.01064948 0.49449211 0.505507885
3    64.8     21.6     Owner  0.82951029 0.15236751 0.847632493
4    61.5     20.8     Owner  0.36601756 0.31924493 0.680755073
5    87.0     23.6     Owner  2.66407504 0.00402325 0.995976750
6   110.1     19.2     Owner  2.11329570 0.01246680 0.987533203
7   108.0     17.6     Owner  1.40432086 0.05188913 0.948110866
8    82.8     22.4     Owner  2.00517105 0.01554353 0.984456467
9    69.0     20.0     Owner  0.42575032 0.29300716 0.706992840
10   93.0     20.8     Owner  1.89209190 0.01956031 0.980439689
11   51.0     22.0     Owner  0.31275353 0.34365520 0.656344803
12   81.0     20.0     Owner  1.00711197 0.11070233 0.889297671
13   75.0     19.6  Nonowner  0.56462200 0.23719290 0.762807097
14   52.8     20.8  Nonowner -0.05546964 0.52865847 0.471341530
15   64.8     17.2  Nonowner -0.84039023 0.85051690 0.149483096
16   43.2     20.4  Nonowner -0.67236810 0.80075893 0.199241067
17   84.0     17.6  Nonowner  0.24159755 0.37757951 0.622420495
18   49.2     17.6  Nonowner -1.44435124 0.95203727 0.047962735
19   59.4     16.0  Nonowner -1.55743039 0.96165849 0.038341510
20   66.0     18.4  Nonowner -0.32682665 0.66288177 0.337118228
21   47.4     16.4  Nonowner -1.98698291 0.98387005 0.016129950
22   33.0     18.8  Nonowner -1.77376206 0.97514892 0.024851077
23   51.0     14.0  Nonowner -2.72342924 0.99644001 0.003559993
24   63.0     14.8  Nonowner -1.83844931 0.97819391 0.021806086
   pred.mowers$class
1           Nonowner
2              Owner
3              Owner
4              Owner
5              Owner
6              Owner
7              Owner
8              Owner
9              Owner
10             Owner
11             Owner
12             Owner
13             Owner
14          Nonowner
15          Nonowner
16          Nonowner
17             Owner
18          Nonowner
19          Nonowner
20          Nonowner
21          Nonowner
22          Nonowner
23          Nonowner
24          Nonowner

# 오분류표
pacman::p_load("DescTools")

# 도수분포표
mowers.ctbl1 <- table(mowers$Ownership,             # 실제 클래스
                       pred.mowers$class)           # 예측 클래스
mowers.ctbl1
          
           Nonowner Owner
  Nonowner       10     2
  Owner           1    11
Desc(mowers.ctbl1,                                  # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
mowers.ctbl1 (table)

Summary: 
n: 24, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 10.741, df = 1, p-value = 0.001048
Fisher's exact test p-value = 0.0006442
McNemar's chi-squared = 0, df = 1, p-value = 1

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio           55.0000   4.3003 703.4323
rel. risk (col1)     10.0000   1.5054  66.4261
rel. risk (col2)      0.1818   0.0507   0.6517


Contingency Coeff.     0.601
Cramer's V             0.753
Kendall Tau-b          0.753

                                               
                   Nonowner     Owner       Sum
                                               
Nonowner   freq          10         2        12
           perc    41.6667%   8.3333%  50.0000%
           p.row   83.3333%  16.6667%         .
           p.col   90.9091%  15.3846%         .
                                               
Owner      freq           1        11        12
           perc     4.1667%  45.8333%  50.0000%
           p.row    8.3333%  91.6667%         .
           p.col    9.0909%  84.6154%         .
                                               
Sum        freq          11        13        24
           perc    45.8333%  54.1667% 100.0000%
           p.row          .         .         .
           p.col          .         .         .
                                               

----------
' 95% conf. level

Caution! Package "DescTools"에서 제공하는 함수 Desc()를 이용하여 오분류표를 작성할 수 있다.
Result! 원래 “Nonowner”에 속하는 12개의 개체 중 10개(10/12=83.33%)는 제대로 분류되었으나 2개(2/12=16.67%)는 “Owner”로 잘못 분류되었다. 또한, 원래 “Owner”에 속하는 12개의 개체 중 1개(1/12=8.33%)는 “Nonowner”로 잘못 분류되었으나 11개(11/12=91.67%)는 “Owner”에 제대로 분류되었다. 유도된 선형판별함수에 대한 오류율은 (2+1)/24=12.5%이며, 정확도는 (10+11)/24=87.5%이다.


5. 이차판별분석(QDA)

# 이차판별분석
pacman::p_load("MASS")

mowers.qda <- qda(Ownership ~ Income + Lot_Size,    # formula : 반응변수(클래스) ~ 예측변수
                  data = mowers)
mowers.qda
Call:
qda(Ownership ~ Income + Lot_Size, data = mowers)

Prior probabilities of groups:
Nonowner    Owner 
     0.5      0.5 

Group means:
         Income Lot_Size
Nonowner 57.400 17.63333
Owner    79.475 20.26667

Caution! 이차판별분석에서는 판별계수벡터를 출력하지 않는다.


# 새로운 개체에 대한 클래스 예측
pred2.mowers <- predict(mowers.qda,               # 함수 qda로부터 출력된 객체
                        mowers)                   # 새로운 데이터
cbind(mowers, pred2.mowers$posterior, pred2.mowers$class)
   Income Lot_Size Ownership    Nonowner       Owner
1    60.0     18.4     Owner 0.817481728 0.182518272
2    85.5     16.8     Owner 0.424306433 0.575693567
3    64.8     21.6     Owner 0.196670872 0.803329128
4    61.5     20.8     Owner 0.362856648 0.637143352
5    87.0     23.6     Owner 0.008863376 0.991136624
6   110.1     19.2     Owner 0.002551633 0.997448367
7   108.0     17.6     Owner 0.009182382 0.990817618
8    82.8     22.4     Owner 0.025410871 0.974589129
9    69.0     20.0     Owner 0.342411556 0.657588444
10   93.0     20.8     Owner 0.016962533 0.983037467
11   51.0     22.0     Owner 0.320524407 0.679475593
12   81.0     20.0     Owner 0.119918671 0.880081329
13   75.0     19.6  Nonowner 0.267754450 0.732245550
14   52.8     20.8  Nonowner 0.518509465 0.481490535
15   64.8     17.2  Nonowner 0.887293377 0.112706623
16   43.2     20.4  Nonowner 0.722912545 0.277087455
17   84.0     17.6  Nonowner 0.332541972 0.667458028
18   49.2     17.6  Nonowner 0.959215641 0.040784359
19   59.4     16.0  Nonowner 0.977443180 0.022556820
20   66.0     18.4  Nonowner 0.711989501 0.288010499
21   47.4     16.4  Nonowner 0.989035961 0.010964039
22   33.0     18.8  Nonowner 0.949199992 0.050800008
23   51.0     14.0  Nonowner 0.998832342 0.001167658
24   63.0     14.8  Nonowner 0.989540868 0.010459132
   pred2.mowers$class
1            Nonowner
2               Owner
3               Owner
4               Owner
5               Owner
6               Owner
7               Owner
8               Owner
9               Owner
10              Owner
11              Owner
12              Owner
13              Owner
14           Nonowner
15           Nonowner
16           Nonowner
17              Owner
18           Nonowner
19           Nonowner
20           Nonowner
21           Nonowner
22           Nonowner
23           Nonowner
24           Nonowner

Caution! 이차판별분석에서 함수 predict()는 예측 클래스와 각 클래스에 대한 사후확률 예측값만 출력한다.


# 오분류표
pacman::p_load("DescTools")

# 도수분포표
mowers.ctbl2 <- table(mowers$Ownership,           # 실제 클래스
                      pred2.mowers$class)         # 예측 클래스
mowers.ctbl2
          
           Nonowner Owner
  Nonowner       10     2
  Owner           1    11
Desc(mowers.ctbl2,                                # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
mowers.ctbl2 (table)

Summary: 
n: 24, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 10.741, df = 1, p-value = 0.001048
Fisher's exact test p-value = 0.0006442
McNemar's chi-squared = 0, df = 1, p-value = 1

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio           55.0000   4.3003 703.4323
rel. risk (col1)     10.0000   1.5054  66.4261
rel. risk (col2)      0.1818   0.0507   0.6517


Contingency Coeff.     0.601
Cramer's V             0.753
Kendall Tau-b          0.753

                                               
                   Nonowner     Owner       Sum
                                               
Nonowner   freq          10         2        12
           perc    41.6667%   8.3333%  50.0000%
           p.row   83.3333%  16.6667%         .
           p.col   90.9091%  15.3846%         .
                                               
Owner      freq           1        11        12
           perc     4.1667%  45.8333%  50.0000%
           p.row    8.3333%  91.6667%         .
           p.col    9.0909%  84.6154%         .
                                               
Sum        freq          11        13        24
           perc    45.8333%  54.1667% 100.0000%
           p.row          .         .         .
           p.col          .         .         .
                                               

----------
' 95% conf. level

Result! 원래 “Nonowner”에 속하는 12개의 개체 중 10개(10/12=83.33%)는 제대로 분류되었으나 2개(2/12=16.67%)는 “Owner”로 잘못 분류되었다. 또한, 원래 “Owner”에 속하는 12개의 개체 중 1개(1/12=8.33%)는 “Nonowner”로 잘못 분류되었으나 11개(11/12=91.67%)는 “Owner”에 제대로 분류되었다. 유도된 이차판별함수에 대한 오류율은 (2+1)/24=12.5%이며, 정확도는 (10+11)/24=87.5%이다.


Caution! Package "klaR"에서 제공하는 함수 partimat()을 통해 판별분석의 분류 영역을 각 예측변수의 쌍에 대하여 표현할 수 있다.

# 그래프적 표현
pacman::p_load("klaR")

mowers$Ownership <- as.factor(mowers$Ownership)

# 선형판별함수
partimat(Ownership ~ Income + Lot_Size,      
         data = mowers,
         method = "lda")
# 이차판별함수
partimat(Ownership ~ Income + Lot_Size,      
         data = mowers,
         method = "qda")

Result! 그래프를 통해 선형판별함수와 이차판별함수의 “선형”, “이차”라는 용어의 의미를 이해할 수 있다. 선형판별함수는 각 예측변수의 쌍에 대하여 “Nonowner” (N)와 “Owner” (O)는 선형(직선)으로 분류되었으며, 이차판별함수는 “Nonowner” (N)와 “Owner” (O)가 비선형으로 분류되었다. 또한, 각 집단에 대해 잘못 분류된 개체는 빨간색으로 표시되어 있다.


6. 오분류율 계산

# 1. 재대입에 의한 오분류율 계산 
pacman::p_load("MASS")

mowers.lda <- lda(Ownership ~ Income + Lot_Size,    # formula : 반응변수(클래스) ~ 예측변수
                  # prior = c(1/2, 1/2),            # 사전확률
                  data = mowers)               

## 예측
pred <- predict(mowers.lda,                         # 함수 lda로부터 출력된 객체
                mowers)                             # 판별함수를 유도하는 데 사용했던 데이터

## 오분류율 계산
## 함수 table()
ctbl <- table(mowers$Ownership,                     # 실제 클래스
              pred$class)                           # 예측 클래스
ctbl
          
           Nonowner Owner
  Nonowner       10     2
  Owner           1    11
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                          # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 24, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 10.741, df = 1, p-value = 0.001048
Fisher's exact test p-value = 0.0006442
McNemar's chi-squared = 0, df = 1, p-value = 1

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio           55.0000   4.3003 703.4323
rel. risk (col1)     10.0000   1.5054  66.4261
rel. risk (col2)      0.1818   0.0507   0.6517


Contingency Coeff.     0.601
Cramer's V             0.753
Kendall Tau-b          0.753

                                               
                   Nonowner     Owner       Sum
                                               
Nonowner   freq          10         2        12
           perc    41.6667%   8.3333%  50.0000%
           p.row   83.3333%  16.6667%         .
           p.col   90.9091%  15.3846%         .
                                               
Owner      freq           1        11        12
           perc     4.1667%  45.8333%  50.0000%
           p.row    8.3333%  91.6667%         .
           p.col    9.0909%  84.6154%         .
                                               
Sum        freq          11        13        24
           perc    45.8333%  54.1667% 100.0000%
           p.row          .         .         .
           p.col          .         .         .
                                               

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(pred$class,                          # 예측 클래스
                mowers$Ownership)                    # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction Nonowner Owner
  Nonowner       10     1
  Owner           2    11
                                          
               Accuracy : 0.875           
                 95% CI : (0.6764, 0.9734)
    No Information Rate : 0.5             
    P-Value [Acc > NIR] : 0.0001386       
                                          
                  Kappa : 0.75            
                                          
 Mcnemar's Test P-Value : 1.0000000       
                                          
            Sensitivity : 0.8333          
            Specificity : 0.9167          
         Pos Pred Value : 0.9091          
         Neg Pred Value : 0.8462          
             Prevalence : 0.5000          
         Detection Rate : 0.4167          
   Detection Prevalence : 0.4583          
      Balanced Accuracy : 0.8750          
                                          
       'Positive' Class : Nonowner        
                                          

# 2. 표본분할에 의한 오분류율 계산
## 표본 분할
pacman::p_load("caret")

set.seed(200)                                        # Seed 고정
ind <- createDataPartition(mowers$Ownership,         # 반응변수 (클래스)
                           p = .7,                   # 판별함수를 유도하는 데 사용되는 데이터 비율
                           list = F)                 # 출력 결과를 List로 반환할 것인지 여부  

trd <- mowers[ind,]                                  # 판별함수를 유도하는 데 사용되는 데이터
ted <- mowers[-ind,]                                 # 오분류율 계산을 위해 사용되는 데이터  

Caution! Package "caret"에서 제공하는 함수 createDataPartition()은 반응변수의 클래스별 비율을 원본 데이터와 같게 유지하면서 판별함수를 유도하는 데 사용할 데이터의 인덱스를 추출한다.

pacman::p_load("MASS")

mowers.lda <- lda(Ownership ~ Income + Lot_Size, 
                  data = trd)

## 예측
pred <- predict(mowers.lda,                          # 함수 lda로부터 출력된 객체
                ted)                                 # 새로운 데이터

## 오분류율 계산
## 함수 table()
ctbl <- table(ted$Ownership,                         # 실제 클래스
              pred$class)                            # 예측 클래스
ctbl
          
           Nonowner Owner
  Nonowner        2     1
  Owner           1     2
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                           # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 6, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 0, df = 1, p-value = 1
Fisher's exact test p-value = 1
McNemar's chi-squared = 0, df = 1, p-value = 1

Warning message:
  Exp. counts < 5: Chi-squared approx. may be incorrect!!

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio            4.0000   0.1342 119.2297
rel. risk (col1)      2.0000   0.3342  11.9693
rel. risk (col2)      0.5000   0.0835   2.9923


Contingency Coeff.     0.316
Cramer's V             0.333
Kendall Tau-b          0.333

                                               
                   Nonowner     Owner       Sum
                                               
Nonowner   freq           2         1         3
           perc    33.3333%  16.6667%  50.0000%
           p.row   66.6667%  33.3333%         .
           p.col   66.6667%  33.3333%         .
                                               
Owner      freq           1         2         3
           perc    16.6667%  33.3333%  50.0000%
           p.row   33.3333%  66.6667%         .
           p.col   33.3333%  66.6667%         .
                                               
Sum        freq           3         3         6
           perc    50.0000%  50.0000% 100.0000%
           p.row          .         .         .
           p.col          .         .         .
                                               

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(pred$class,                          # 예측 클래스
                ted$Ownership)                       # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction Nonowner Owner
  Nonowner        2     1
  Owner           1     2
                                          
               Accuracy : 0.6667          
                 95% CI : (0.2228, 0.9567)
    No Information Rate : 0.5             
    P-Value [Acc > NIR] : 0.3437          
                                          
                  Kappa : 0.3333          
                                          
 Mcnemar's Test P-Value : 1.0000          
                                          
            Sensitivity : 0.6667          
            Specificity : 0.6667          
         Pos Pred Value : 0.6667          
         Neg Pred Value : 0.6667          
             Prevalence : 0.5000          
         Detection Rate : 0.3333          
   Detection Prevalence : 0.5000          
      Balanced Accuracy : 0.6667          
                                          
       'Positive' Class : Nonowner        
                                          

# 3. 교차타당성에 의한 오분류율 계산
pacman::p_load("MASS")

mowers.lda <- lda(Ownership ~ Income + Lot_Size, 
                  data = mowers,
                  CV = TRUE)

Caution! 함수 lda()의 옵션 CV = TRUE을 지정하면 교차타당성에 의한 오분류율을 계산할 수 있다.

## 오분류율 계산
## 함수 table()
ctbl <- table(mowers$Ownership,                     # 실제 클래스
              mowers.lda$class)                     # 예측 클래스
ctbl
          
           Nonowner Owner
  Nonowner        9     3
  Owner           2    10
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                           # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 24, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 6.042, df = 1, p-value = 0.01397
Fisher's exact test p-value = 0.01228
McNemar's chi-squared = 0, df = 1, p-value = 1

                    estimate  lwr.ci  upr.ci'
                                            
odds ratio            15.000   2.024 111.174
rel. risk (col1)       4.500   1.218  16.622
rel. risk (col2)       0.300   0.109   0.825


Contingency Coeff.     0.505
Cramer's V             0.585
Kendall Tau-b          0.585

                                               
                   Nonowner     Owner       Sum
                                               
Nonowner   freq           9         3        12
           perc    37.5000%  12.5000%  50.0000%
           p.row   75.0000%  25.0000%         .
           p.col   81.8182%  23.0769%         .
                                               
Owner      freq           2        10        12
           perc     8.3333%  41.6667%  50.0000%
           p.row   16.6667%  83.3333%         .
           p.col   18.1818%  76.9231%         .
                                               
Sum        freq          11        13        24
           perc    45.8333%  54.1667% 100.0000%
           p.row          .         .         .
           p.col          .         .         .
                                               

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(mowers.lda$class,                    # 예측 클래스
                mowers$Ownership)                    # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction Nonowner Owner
  Nonowner        9     2
  Owner           3    10
                                          
               Accuracy : 0.7917          
                 95% CI : (0.5785, 0.9287)
    No Information Rate : 0.5             
    P-Value [Acc > NIR] : 0.003305        
                                          
                  Kappa : 0.5833          
                                          
 Mcnemar's Test P-Value : 1.000000        
                                          
            Sensitivity : 0.7500          
            Specificity : 0.8333          
         Pos Pred Value : 0.8182          
         Neg Pred Value : 0.7692          
             Prevalence : 0.5000          
         Detection Rate : 0.3750          
   Detection Prevalence : 0.4583          
      Balanced Accuracy : 0.7917          
                                          
       'Positive' Class : Nonowner        
                                          

예제 2


1. 데이터 불러오기

finance <- read.csv("finance.csv")
head(finance)
  ID     x1     x2    x3    x4 y
1  1 -0.448 -0.410 1.086 0.452 1
2  2 -0.563 -0.311 1.513 0.164 1
3  3  0.064  0.015 1.007 0.397 1
4  4 -0.072 -0.093 1.454 0.258 1
5  5 -0.100 -0.091 1.564 0.668 1
6  6 -0.142 -0.065 0.706 0.279 1

2. 데이터 전처리

pacman::p_load("dplyr")

## 예측변수 선택 
finance.X <- finance %>%
  dplyr::select(2:5)                            

head(finance.X)
      x1     x2    x3    x4
1 -0.448 -0.410 1.086 0.452
2 -0.563 -0.311 1.513 0.164
3  0.064  0.015 1.007 0.397
4 -0.072 -0.093 1.454 0.258
5 -0.100 -0.091 1.564 0.668
6 -0.142 -0.065 0.706 0.279
## 표준화
# finance.X <- scale(finance.X)

3. 공분산행렬의 동일성 검정

pacman::p_load("biotools")

finance.boxM <- boxM(finance.X,                   # Features
                     finance$y)                   # Target
finance.boxM

    Box's M-test for Homogeneity of Covariance Matrices

data:  finance.X
Chi-Sq (approx.) = 64.869, df = 10, p-value = 4.294e-10

Result! 가설 \(H_0 : \boldsymbol{\Sigma}_1=\boldsymbol{\Sigma}_2\) vs \(H_1 : \boldsymbol{\Sigma}_1\ne\boldsymbol{\Sigma}_2\)에 대하여, 카이제곱 검정통계량 \(\chi^2\) 값은 64.869, \(p\)값은 0에 가깝다. 이에 근거하여, 유의수준 5%에서 \(p\)값이 0.05보다 작기 때문에 귀무가설 \(H_0\)를 기각할 수 있다. 즉, 두 클래스의 공분산행렬은 동일하지 않다.


4. 선형판별분석(LDA)

# 함수 lda
pacman::p_load("MASS")

finance.lda <- lda(y ~ x1 + x2 + x3 + x4,           # formula : 반응변수(클래스) ~ 예측변수
                   # prior = c(1/2, 1/2),           # 사전확률
                   data = finance)               
finance.lda
Call:
lda(y ~ x1 + x2 + x3 + x4, data = finance)

Prior probabilities of groups:
        1         2 
0.4565217 0.5434783 

Group means:
           x1          x2       x3        x4
1 -0.07319048 -0.08180952 1.367048 0.4378571
2  0.23492000  0.05472000 2.580400 0.4281200

Coefficients of linear discriminants:
          LD1
x1  1.0023665
x2  3.9998578
x3  0.8450508
x4 -1.0153181

Result! “Prior probabilities of groups”는 사전확률을 의미하며, 함수 lda()의 옵션 prior을 이용하여 직접 지정할 수 있다. 만약 옵션으로 따로 지정해주지 않는다면, 예제처럼 데이터에서 계산된 각 클래스의 비율이 사전확률로 지정된다. 즉, 데이터 “finance”에서 파산 기업(\(y=1\))의 비율은 46%, 건전 기업(\(y=2\))의 비율은 54%이다. “Groups means”는 판별변수들의 클래스별 평균을 의미한다. 예를 들어, 변수 \(x_4\)(순매출 대비 자산)은 두 클래스의 평균이 0.438과 0.428로서 큰 차이가 없으므로, 이 변수는 판별에 기여하는 정도가 작을 것임을 짐작할 수 있다. “Coefficients of linear discriminants”는 선형판별계수로 이 계수들을 이용하여 선형판별함수 \(L(\boldsymbol{x})\)를 표현하면 다음과 같다.

\[ \begin{align} 1.002(x_1-\bar{x}_1)+3.999(x_2-\bar{x}_2)+0.845(x_3-\bar{x}_3)-1.015(x_4-\bar{x}_4). \end{align} \] 여기서, \(\bar{x}_i\)\(i\)번째 예측변수의 전체 평균을 의미한다.
선형판별계수들의 부호에 관심을 가지고 이를 해석해보면, \(x_1\)(총부채 대비 현금 유출입), \(x_2\)(총자산 대비 순이익), \(x_3\)(채무 대비 자산)이 클수록 \(L(\boldsymbol{x})\) 값이 커지므로 파산 기업(\(y=1\))에 비해 건전 기업(\(y=2\))에 속할 확률의 추정치가 커지며, 반면에 \(x_4\)(순매출 대비 자산)이 클수록 \(L(\boldsymbol{x})\) 값이 작아지므로 건전 기업(\(y=2\))에 속할 확률의 추정치가 작아진다.


# 새로운 개체에 대한 클래스 예측
pred.finance <- predict(finance.lda,                # 함수 lda로부터 출력된 객체
                        finance)                    # 새로운 데이터
pred.finance
$class
 [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2
[34] 1 2 2 2 2 2 2 2 2 2 2 2 2
Levels: 1 2

$posterior
              1           2
1  0.9949306255 0.005069374
2  0.9710865699 0.028913430
3  0.7534057857 0.246594214
4  0.7703536176 0.229646382
5  0.8652242888 0.134775711
6  0.9142224102 0.085777590
7  0.7275761568 0.272423843
8  0.7900065070 0.209993493
9  0.6986301491 0.301369851
10 0.8910355393 0.108964461
11 0.9909008401 0.009099160
12 0.5721926558 0.427807344
13 0.5186738620 0.481326138
14 0.9767718689 0.023228131
15 0.2830962416 0.716903758
16 0.1444402841 0.855559716
17 0.7959204159 0.204079584
18 0.7430841132 0.256915887
19 0.7948128315 0.205187169
20 0.4167975396 0.583202460
21 0.9765310652 0.023468935
22 0.0777227190 0.922277281
23 0.4312959648 0.568704035
24 0.0206146974 0.979385303
25 0.1849003795 0.815099620
26 0.0107529268 0.989247073
27 0.0102128980 0.989787102
28 0.3399783669 0.660021633
29 0.3647147773 0.635285223
30 0.1440766724 0.855923328
31 0.3964772846 0.603522715
32 0.2946098358 0.705390164
33 0.3978140247 0.602185975
34 0.8742880520 0.125711948
35 0.1431237130 0.856876287
36 0.2675674570 0.732432543
37 0.1440439732 0.855956027
38 0.2674111138 0.732588886
39 0.0819781313 0.918021869
40 0.3937354665 0.606264534
41 0.2631920057 0.736807994
42 0.0033216079 0.996678392
43 0.2147405101 0.785259490
44 0.0281618125 0.971838188
45 0.1156120162 0.884387984
46 0.0008935622 0.999106438

$x
            LD1
1  -2.967536513
2  -2.033574427
3  -0.765301792
4  -0.814741367
5  -1.158132769
6  -1.426330659
7  -0.694143990
8  -0.875400305
9  -0.619242570
10 -1.286156120
11 -2.655911886
12 -0.328273634
13 -0.213959740
14 -2.152494806
15  0.317148807
16  0.766703877
17 -0.894459197
18 -0.736310023
19 -0.890858943
20  0.003303386
21 -2.146907954
22  1.134294600
23 -0.028105557
24  1.868209164
25  0.610423361
26  2.217831504
27  2.245380525
28  0.176545470
29  0.119179080
30  0.768262185
31  0.047866131
32  0.287492462
33  0.044912308
34 -1.200478173
35  0.772361805
36  0.358332875
37  0.768402482
38  0.358755017
39  1.103646750
40  0.053935539
41  0.370206933
42  2.843285122
43  0.511538395
44  1.699071683
45  0.902017830
46  3.539213134
# 선형판별점수, 예측 확률, 예측 클래스
pf <- cbind(finance, pred.finance$x, pred.finance$posterior, pred.finance$class)
pf
   ID     x1     x2    x3    x4 y          LD1            1
1   1 -0.448 -0.410 1.086 0.452 1 -2.967536513 0.9949306255
2   2 -0.563 -0.311 1.513 0.164 1 -2.033574427 0.9710865699
3   3  0.064  0.015 1.007 0.397 1 -0.765301792 0.7534057857
4   4 -0.072 -0.093 1.454 0.258 1 -0.814741367 0.7703536176
5   5 -0.100 -0.091 1.564 0.668 1 -1.158132769 0.8652242888
6   6 -0.142 -0.065 0.706 0.279 1 -1.426330659 0.9142224102
7   7  0.035  0.014 1.504 0.708 1 -0.694143990 0.7275761568
8   8 -0.065 -0.056 1.373 0.403 1 -0.875400305 0.7900065070
9   9 -0.072 -0.007 1.372 0.336 1 -0.619242570 0.6986301491
10 10 -0.135 -0.143 1.419 0.434 1 -1.286156120 0.8910355393
11 11 -0.229 -0.296 0.331 0.182 1 -2.655911886 0.9909008401
12 12  0.073  0.020 1.312 0.249 1 -0.328273634 0.5721926558
13 13  0.010  0.001 2.149 0.696 1 -0.213959740 0.5186738620
14 14 -0.227 -0.231 1.191 0.660 1 -2.152494806 0.9767718689
15 15  0.145  0.050 1.876 0.272 1  0.317148807 0.2830962416
16 16  0.370  0.109 1.994 0.382 1  0.766703877 0.1444402841
17 17 -0.075 -0.082 1.507 0.421 1 -0.894459197 0.7959204159
18 18  0.045  0.026 1.675 0.949 1 -0.736310023 0.7430841132
19 19  0.011 -0.003 1.260 0.608 1 -0.890858943 0.7948128315
20 20  0.122  0.105 1.143 0.165 1  0.003303386 0.4167975396
21 21 -0.284 -0.270 1.272 0.512 1 -2.146907954 0.9765310652
22 22  0.513  0.100 2.487 0.536 2  1.134294600 0.0777227190
23 23  0.076  0.019 2.006 0.530 2 -0.028105557 0.4312959648
24 24  0.377  0.107 3.265 0.354 2  1.868209164 0.0206146974
25 25  0.193  0.047 2.250 0.330 2  0.610423361 0.1849003795
26 26  0.324  0.071 4.240 0.627 2  2.217831504 0.0107529268
27 27  0.313  0.051 4.450 0.685 2  2.245380525 0.0102128980
28 28  0.118  0.049 2.251 0.692 2  0.176545470 0.3399783669
29 29 -0.017  0.023 2.053 0.348 2  0.119179080 0.3647147773
30 30  0.216  0.077 2.348 0.397 2  0.768262185 0.1440766724
31 31  0.170  0.069 1.797 0.571 2  0.047866131 0.3964772846
32 32  0.146  0.051 2.169 0.550 2  0.287492462 0.2946098358
33 33 -0.098 -0.012 2.502 0.577 2  0.044912308 0.3978140247
34 34  0.139 -0.031 0.461 0.264 2 -1.200478173 0.8742880520
35 35  0.137  0.072 2.612 0.515 2  0.772361805 0.1431237130
36 36  0.148  0.056 2.234 0.556 2  0.358332875 0.2675674570
37 37  0.163  0.048 2.308 0.197 2  0.768402482 0.1440439732
38 38  0.290  0.059 1.838 0.378 2  0.358755017 0.2674111138
39 39  0.538  0.106 2.329 0.483 2  1.103646750 0.0819781313
40 40 -0.333 -0.085 3.012 0.473 2  0.053935539 0.3937354665
41 41  0.478  0.091 1.244 0.184 2  0.370206933 0.2631920057
42 42  0.560  0.111 4.291 0.444 2  2.843285122 0.0033216079
43 43  0.202  0.079 1.936 0.301 2  0.511538395 0.2147405101
44 44  0.474  0.138 2.916 0.448 2  1.699071683 0.0281618125
45 45  0.166  0.035 2.452 0.137 2  0.902017830 0.1156120162
46 46  0.580  0.037 5.059 0.126 2  3.539213134 0.0008935622
             2 pred.finance$class
1  0.005069374                  1
2  0.028913430                  1
3  0.246594214                  1
4  0.229646382                  1
5  0.134775711                  1
6  0.085777590                  1
7  0.272423843                  1
8  0.209993493                  1
9  0.301369851                  1
10 0.108964461                  1
11 0.009099160                  1
12 0.427807344                  1
13 0.481326138                  1
14 0.023228131                  1
15 0.716903758                  2
16 0.855559716                  2
17 0.204079584                  1
18 0.256915887                  1
19 0.205187169                  1
20 0.583202460                  2
21 0.023468935                  1
22 0.922277281                  2
23 0.568704035                  2
24 0.979385303                  2
25 0.815099620                  2
26 0.989247073                  2
27 0.989787102                  2
28 0.660021633                  2
29 0.635285223                  2
30 0.855923328                  2
31 0.603522715                  2
32 0.705390164                  2
33 0.602185975                  2
34 0.125711948                  1
35 0.856876287                  2
36 0.732432543                  2
37 0.855956027                  2
38 0.732588886                  2
39 0.918021869                  2
40 0.606264534                  2
41 0.736807994                  2
42 0.996678392                  2
43 0.785259490                  2
44 0.971838188                  2
45 0.884387984                  2
46 0.999106438                  2

# 오분류표
pacman::p_load("DescTools")

# 도수분포표
finance.ctbl1 <- table(finance$y,                   # 실제 클래스
                       pred.finance$class)          # 예측 클래스
finance.ctbl1
   
     1  2
  1 18  3
  2  1 24
Desc(finance.ctbl1,                                 # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
finance.ctbl1 (table)

Summary: 
n: 46, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 28.154, df = 1, p-value = 1.121e-07
Fisher's exact test p-value = 8.054e-09
McNemar's chi-squared = 0.25, df = 1, p-value = 0.6171

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio           144.000   13.813 1501.237
rel. risk (col1)      21.429    3.116  147.380
rel. risk (col2)       0.149    0.052    0.426


Contingency Coeff.     0.637
Cramer's V             0.827
Kendall Tau-b          0.827

                                         
                    1         2       Sum
                                         
1     freq         18         3        21
      perc   39.1304%   6.5217%  45.6522%
      p.row  85.7143%  14.2857%         .
      p.col  94.7368%  11.1111%         .
                                         
2     freq          1        24        25
      perc    2.1739%  52.1739%  54.3478%
      p.row   4.0000%  96.0000%         .
      p.col   5.2632%  88.8889%         .
                                         
Sum   freq         19        27        46
      perc   41.3043%  58.6957% 100.0000%
      p.row         .         .         .
      p.col         .         .         .
                                         

----------
' 95% conf. level

Result! 원래 집단 1에 속하는 21개의 개체 중 18개(18/21=85.7%)는 집단 1에 제대로 분류되었으나 3개(3/21=14.3%)는 집단 2로 잘못 분류되었다. 또한, 원래 집단 2에 속하는 25개의 개체 중 1개(1/25=4%)는 집단 1로 잘못 분류되었으나 24개(24/25=96%)는 집단 2에 제대로 분류되었다. 유도된 선형판별함수에 대한 오류율은 (3+1)/46=8.7%이며, 정확도는 (18+24)/46=91.3%이다.


5. 이차판별분석(QDA)

# 이차판별분석
pacman::p_load("MASS")

finance.qda <- qda(y ~ x1 + x2 + x3 + x4,           # formula : 반응변수(클래스) ~ 예측변수
                   data = finance)
finance.qda
Call:
qda(y ~ x1 + x2 + x3 + x4, data = finance)

Prior probabilities of groups:
        1         2 
0.4565217 0.5434783 

Group means:
           x1          x2       x3        x4
1 -0.07319048 -0.08180952 1.367048 0.4378571
2  0.23492000  0.05472000 2.580400 0.4281200

Caution! 이차판별분석에서는 판별계수벡터를 출력하지 않는다.


# 새로운 개체에 대한 클래스 예측
pred2.finance <- predict(finance.qda,               # 함수 qda로부터 출력된 객체
                         finance)                   # 새로운 데이터
cbind(finance, pred2.finance$posterior, pred2.finance$class)
   ID     x1     x2    x3    x4 y            1            2
1   1 -0.448 -0.410 1.086 0.452 1 1.000000e+00 3.116818e-39
2   2 -0.563 -0.311 1.513 0.164 1 1.000000e+00 1.111932e-14
3   3  0.064  0.015 1.007 0.397 1 5.421135e-01 4.578865e-01
4   4 -0.072 -0.093 1.454 0.258 1 9.983000e-01 1.699964e-03
5   5 -0.100 -0.091 1.564 0.668 1 9.999242e-01 7.579056e-05
6   6 -0.142 -0.065 0.706 0.279 1 8.842837e-01 1.157163e-01
7   7  0.035  0.014 1.504 0.708 1 8.582123e-01 1.417877e-01
8   8 -0.065 -0.056 1.373 0.403 1 9.739957e-01 2.600431e-02
9   9 -0.072 -0.007 1.372 0.336 1 5.907891e-01 4.092109e-01
10 10 -0.135 -0.143 1.419 0.434 1 9.999995e-01 4.807386e-07
11 11 -0.229 -0.296 0.331 0.182 1 1.000000e+00 3.046234e-22
12 12  0.073  0.020 1.312 0.249 1 6.209643e-01 3.790357e-01
13 13  0.010  0.001 2.149 0.696 1 5.581252e-01 4.418748e-01
14 14 -0.227 -0.231 1.191 0.660 1 1.000000e+00 3.388701e-17
15 15  0.145  0.050 1.876 0.272 1 2.419224e-01 7.580776e-01
16 16  0.370  0.109 1.994 0.382 1 1.601880e-02 9.839812e-01
17 17 -0.075 -0.082 1.507 0.421 1 9.977404e-01 2.259613e-03
18 18  0.045  0.026 1.675 0.949 1 9.755293e-01 2.447070e-02
19 19  0.011 -0.003 1.260 0.608 1 8.489113e-01 1.510887e-01
20 20  0.122  0.105 1.143 0.165 1 9.869655e-01 1.303450e-02
21 21 -0.284 -0.270 1.272 0.512 1 1.000000e+00 1.199323e-19
22 22  0.513  0.100 2.487 0.536 2 3.561964e-06 9.999964e-01
23 23  0.076  0.019 2.006 0.530 2 3.296200e-01 6.703800e-01
24 24  0.377  0.107 3.265 0.354 2 4.602133e-08 1.000000e+00
25 25  0.193  0.047 2.250 0.330 2 1.477562e-02 9.852244e-01
26 26  0.324  0.071 4.240 0.627 2 1.289663e-14 1.000000e+00
27 27  0.313  0.051 4.450 0.685 2 1.958738e-16 1.000000e+00
28 28  0.118  0.049 2.251 0.692 2 2.487000e-01 7.513000e-01
29 29 -0.017  0.023 2.053 0.348 2 1.896533e-01 8.103467e-01
30 30  0.216  0.077 2.348 0.397 2 2.116533e-02 9.788347e-01
31 31  0.170  0.069 1.797 0.571 2 4.594406e-01 5.405594e-01
32 32  0.146  0.051 2.169 0.550 2 1.360733e-01 8.639267e-01
33 33 -0.098 -0.012 2.502 0.577 2 1.747878e-02 9.825212e-01
34 34  0.139 -0.031 0.461 0.264 2 6.910115e-01 3.089885e-01
35 35  0.137  0.072 2.612 0.515 2 1.254622e-02 9.874538e-01
36 36  0.148  0.056 2.234 0.556 2 1.067476e-01 8.932524e-01
37 37  0.163  0.048 2.308 0.197 2 1.527945e-02 9.847205e-01
38 38  0.290  0.059 1.838 0.378 2 3.006097e-02 9.699390e-01
39 39  0.538  0.106 2.329 0.483 2 2.952091e-06 9.999970e-01
40 40 -0.333 -0.085 3.012 0.473 2 8.847632e-06 9.999912e-01
41 41  0.478  0.091 1.244 0.184 2 3.000447e-04 9.997000e-01
42 42  0.560  0.111 4.291 0.444 2 5.720113e-20 1.000000e+00
43 43  0.202  0.079 1.936 0.301 2 2.514586e-01 7.485414e-01
44 44  0.474  0.138 2.916 0.448 2 2.602885e-06 9.999974e-01
45 45  0.166  0.035 2.452 0.137 2 2.169365e-03 9.978306e-01
46 46  0.580  0.037 5.059 0.126 2 1.908462e-35 1.000000e+00
   pred2.finance$class
1                    1
2                    1
3                    1
4                    1
5                    1
6                    1
7                    1
8                    1
9                    1
10                   1
11                   1
12                   1
13                   1
14                   1
15                   2
16                   2
17                   1
18                   1
19                   1
20                   1
21                   1
22                   2
23                   2
24                   2
25                   2
26                   2
27                   2
28                   2
29                   2
30                   2
31                   2
32                   2
33                   2
34                   1
35                   2
36                   2
37                   2
38                   2
39                   2
40                   2
41                   2
42                   2
43                   2
44                   2
45                   2
46                   2

Caution! 이차판별분석에서 함수 predict()는 예측 클래스와 각 클래스에 대한 사후확률 예측값만 출력한다.


# 오분류표
pacman::p_load("DescTools")

# 도수분포표
finance.ctbl2 <- table(finance$y,                   # 실제 클래스
                       pred2.finance$class)         # 예측 클래스
finance.ctbl2
   
     1  2
  1 19  2
  2  1 24
Desc(finance.ctbl2,                                 # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
finance.ctbl2 (table)

Summary: 
n: 46, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 31.3, df = 1, p-value = 2.21e-08
Fisher's exact test p-value = 9.399e-10
McNemar's chi-squared = 0, df = 1, p-value = 1

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio          2.28e+02 1.92e+01 2.71e+03
rel. risk (col1)    2.26e+01 3.30e+00 1.55e+02
rel. risk (col2)    9.92e-02 2.65e-02 3.72e-01


Contingency Coeff.     0.656
Cramer's V             0.869
Kendall Tau-b          0.869

                                         
                    1         2       Sum
                                         
1     freq         19         2        21
      perc   41.3043%   4.3478%  45.6522%
      p.row  90.4762%   9.5238%         .
      p.col  95.0000%   7.6923%         .
                                         
2     freq          1        24        25
      perc    2.1739%  52.1739%  54.3478%
      p.row   4.0000%  96.0000%         .
      p.col   5.0000%  92.3077%         .
                                         
Sum   freq         20        26        46
      perc   43.4783%  56.5217% 100.0000%
      p.row         .         .         .
      p.col         .         .         .
                                         

----------
' 95% conf. level

Result! 원래 집단 1에 속하는 21개의 개체 중 19개(19/21=90.5%)는 집단 1에 제대로 분류되었으나 2개(5/21=9.5%)는 집단 2로 잘못 분류되었다. 또한, 원래 집단 2에 속하는 25개의 개체 중 1개(1/25=4%)는 집단 1로 잘못 분류되었으나 24개(24/25=96%)는 집단 2에 제대로 분류되었다. 유도된 이차판별함수에 대한 오류율은 (2+1)/46=6.5%이며, 정확도는 (19+24)/46=93.5%이다.


Caution! Package "klaR"에서 제공하는 함수 partimat()을 통해 판별분석의 분류 영역을 각 예측변수의 쌍에 대하여 표현할 수 있다.

# 그래프적 표현
pacman::p_load("klaR")

finance$y <- as.factor(finance$y)

# 선형판별함수
partimat(y ~ x1 + x2 + x3 + x4,      
         data = finance,
         method = "lda")
# 이차판별함수
partimat(y ~ x1 + x2 + x3 + x4,
         data = finance,
         method = "qda")


6. 오분류율 계산

# 1. 재대입에 의한 오분류율 계산 
pacman::p_load("MASS")

finance.lda <- lda(y ~ x1 + x2 + x3 + x4,           # formula : 반응변수(클래스) ~ 예측변수
                   # prior = c(1/2, 1/2),           # 사전확률
                   data = finance)                   

## 예측
pred <- predict(finance.lda,                        # 함수 lda로부터 출력된 객체
                finance)                            # 판별함수를 유도하는 데 사용했던 데이터

## 오분류율 계산
## 함수 table()
ctbl <- table(finance$y,                            # 실제 클래스
              pred$class)                           # 예측 클래스
ctbl
   
     1  2
  1 18  3
  2  1 24
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                          # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 46, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 28.154, df = 1, p-value = 1.121e-07
Fisher's exact test p-value = 8.054e-09
McNemar's chi-squared = 0.25, df = 1, p-value = 0.6171

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio           144.000   13.813 1501.237
rel. risk (col1)      21.429    3.116  147.380
rel. risk (col2)       0.149    0.052    0.426


Contingency Coeff.     0.637
Cramer's V             0.827
Kendall Tau-b          0.827

                                         
                    1         2       Sum
                                         
1     freq         18         3        21
      perc   39.1304%   6.5217%  45.6522%
      p.row  85.7143%  14.2857%         .
      p.col  94.7368%  11.1111%         .
                                         
2     freq          1        24        25
      perc    2.1739%  52.1739%  54.3478%
      p.row   4.0000%  96.0000%         .
      p.col   5.2632%  88.8889%         .
                                         
Sum   freq         19        27        46
      perc   41.3043%  58.6957% 100.0000%
      p.row         .         .         .
      p.col         .         .         .
                                         

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(pred$class,                          # 예측 클래스
                finance$y)                           # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction  1  2
         1 18  1
         2  3 24
                                          
               Accuracy : 0.913           
                 95% CI : (0.7921, 0.9758)
    No Information Rate : 0.5435          
    P-Value [Acc > NIR] : 5.991e-08       
                                          
                  Kappa : 0.8234          
                                          
 Mcnemar's Test P-Value : 0.6171          
                                          
            Sensitivity : 0.8571          
            Specificity : 0.9600          
         Pos Pred Value : 0.9474          
         Neg Pred Value : 0.8889          
             Prevalence : 0.4565          
         Detection Rate : 0.3913          
   Detection Prevalence : 0.4130          
      Balanced Accuracy : 0.9086          
                                          
       'Positive' Class : 1               
                                          

# 2. 표본분할에 의한 오분류율 계산
## 표본 분할
pacman::p_load("caret")

set.seed(200)                                        # Seed 고정
ind <- createDataPartition(finance$y,                # 반응변수 (클래스)
                           p = .7,                   # 판별함수를 유도하는 데 사용되는 데이터 비율
                           list = F)                 # 출력 결과를 List로 반환할 것인지 여부  

trd <- finance[ind,]                                 # 판별함수를 유도하는 데 사용되는 데이터
ted <- finance[-ind,]                                # 오분류율 계산을 위해 사용되는 데이터 
pacman::p_load("MASS")

finance.lda <- lda(y ~ x1 + x2 + x3 + x4, 
                   data = trd)

## 예측
pred <- predict(finance.lda,                         # 함수 lda로부터 출력된 객체
                ted)                                 # 새로운 데이터

## 오분류율 계산
## 함수 table()
ctbl <- table(ted$y,                                 # 실제 클래스
              pred$class)                            # 예측 클래스
ctbl
   
    1 2
  1 5 1
  2 0 7
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                           # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 13, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 6.2853, df = 1, p-value = 0.01217
Fisher's exact test p-value = 0.004662
McNemar's chi-squared = 0, df = 1, p-value = 1

Warning message:
  Exp. counts < 5: Chi-squared approx. may be incorrect!!

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio          5.50e+01 1.86e+00 1.62e+03
rel. risk (col1)         Inf      NaN      Inf
rel. risk (col2)    1.67e-01 2.78e-02 9.97e-01


Contingency Coeff.     0.649
Cramer's V             0.854
Kendall Tau-b          0.854

                                         
                    1         2       Sum
                                         
1     freq          5         1         6
      perc   38.4615%   7.6923%  46.1538%
      p.row  83.3333%  16.6667%         .
      p.col 100.0000%  12.5000%         .
                                         
2     freq          0         7         7
      perc    0.0000%  53.8462%  53.8462%
      p.row   0.0000% 100.0000%         .
      p.col   0.0000%  87.5000%         .
                                         
Sum   freq          5         8        13
      perc   38.4615%  61.5385% 100.0000%
      p.row         .         .         .
      p.col         .         .         .
                                         

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(pred$class,                          # 예측 클래스
                ted$y)                               # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction 1 2
         1 5 0
         2 1 7
                                          
               Accuracy : 0.9231          
                 95% CI : (0.6397, 0.9981)
    No Information Rate : 0.5385          
    P-Value [Acc > NIR] : 0.003884        
                                          
                  Kappa : 0.8434          
                                          
 Mcnemar's Test P-Value : 1.000000        
                                          
            Sensitivity : 0.8333          
            Specificity : 1.0000          
         Pos Pred Value : 1.0000          
         Neg Pred Value : 0.8750          
             Prevalence : 0.4615          
         Detection Rate : 0.3846          
   Detection Prevalence : 0.3846          
      Balanced Accuracy : 0.9167          
                                          
       'Positive' Class : 1               
                                          

# 3. 교차타당성에 의한 오분류율 계산
pacman::p_load("MASS")

finance.lda <- lda(y ~ x1 + x2 + x3 + x4, 
                   data = finance,
                   CV = TRUE)
## 오분류율 계산
## 함수 table()
ctbl <- table(finance$y,                             # 실제 클래스
              finance.lda$class)                     # 예측 클래스
ctbl
   
     1  2
  1 17  4
  2  2 23
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                           # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 46, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 22.135, df = 1, p-value = 2.541e-06
Fisher's exact test p-value = 4.829e-07
McNemar's chi-squared = 0.16667, df = 1, p-value = 0.6831

                    estimate   lwr.ci   upr.ci'
                                              
odds ratio           48.8750   8.0031 298.4817
rel. risk (col1)     10.1190   2.6353  38.8545
rel. risk (col2)      0.2070   0.0851   0.5038


Contingency Coeff.     0.594
Cramer's V             0.738
Kendall Tau-b          0.738

                                         
                    1         2       Sum
                                         
1     freq         17         4        21
      perc   36.9565%   8.6957%  45.6522%
      p.row  80.9524%  19.0476%         .
      p.col  89.4737%  14.8148%         .
                                         
2     freq          2        23        25
      perc    4.3478%  50.0000%  54.3478%
      p.row   8.0000%  92.0000%         .
      p.col  10.5263%  85.1852%         .
                                         
Sum   freq         19        27        46
      perc   41.3043%  58.6957% 100.0000%
      p.row         .         .         .
      p.col         .         .         .
                                         

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(finance.lda$class,                   # 예측 클래스
                finance$y)                           # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction  1  2
         1 17  2
         2  4 23
                                          
               Accuracy : 0.8696          
                 95% CI : (0.7374, 0.9506)
    No Information Rate : 0.5435          
    P-Value [Acc > NIR] : 2.603e-06       
                                          
                  Kappa : 0.7351          
                                          
 Mcnemar's Test P-Value : 0.6831          
                                          
            Sensitivity : 0.8095          
            Specificity : 0.9200          
         Pos Pred Value : 0.8947          
         Neg Pred Value : 0.8519          
             Prevalence : 0.4565          
         Detection Rate : 0.3696          
   Detection Prevalence : 0.4130          
      Balanced Accuracy : 0.8648          
                                          
       'Positive' Class : 1               
                                          

예제 3


1. 데이터 불러오기

pacman::p_load("ISLR")

data(Smarket)

smarket <- Smarket
head(smarket)
  Year   Lag1   Lag2   Lag3   Lag4   Lag5 Volume  Today Direction
1 2001  0.381 -0.192 -2.624 -1.055  5.010 1.1913  0.959        Up
2 2001  0.959  0.381 -0.192 -2.624 -1.055 1.2965  1.032        Up
3 2001  1.032  0.959  0.381 -0.192 -2.624 1.4112 -0.623      Down
4 2001 -0.623  1.032  0.959  0.381 -0.192 1.2760  0.614        Up
5 2001  0.614 -0.623  1.032  0.959  0.381 1.2057  0.213        Up
6 2001  0.213  0.614 -0.623  1.032  0.959 1.3491  1.392        Up

2. 데이터 전처리

pacman::p_load("dplyr")

## 예측변수 선택 
smarket.X <- smarket %>%
  dplyr::select(2:3)                           

head(smarket.X)
    Lag1   Lag2
1  0.381 -0.192
2  0.959  0.381
3  1.032  0.959
4 -0.623  1.032
5  0.614 -0.623
6  0.213  0.614
## 표준화
# smarket.X <- scale(smarket.X)

3. 공분산행렬의 동일성 검정

pacman::p_load("biotools")

smarket.boxM <- boxM(smarket.X,                   # Features
                     smarket$Direction)           # Target
smarket.boxM

    Box's M-test for Homogeneity of Covariance Matrices

data:  smarket.X
Chi-Sq (approx.) = 0.8415, df = 3, p-value = 0.8395

Result! 가설 \(H_0 : \boldsymbol{\Sigma}_{\text{Up}}=\boldsymbol{\Sigma}_\text{Down}\) vs \(H_1 : \boldsymbol{\Sigma}_\text{Up}\ne\boldsymbol{\Sigma}_\text{Down}\)에 대하여, 카이제곱 검정통계량 \(\chi^2\) 값은 0.8415, \(p\)값은 0.8395이다. 이에 근거하여, 유의수준 5%에서 \(p\)값이 0.05보다 크기 때문에 귀무가설 \(H_0\)를 기각할 수 없다. 즉, 두 클래스의 공분산행렬이 동일하지 않다는 증거가 부족하다.


4. 선형판별분석(LDA)

# 함수 lda
pacman::p_load("MASS")

smarket.lda <- lda(Direction ~ Lag1 + Lag2,         # formula : 반응변수(클래스) ~ 예측변수
                   # prior = c(1/2, 1/2),           # 사전확률
                   data = smarket)               
smarket.lda
Call:
lda(Direction ~ Lag1 + Lag2, data = smarket)

Prior probabilities of groups:
  Down     Up 
0.4816 0.5184 

Group means:
            Lag1        Lag2
Down  0.05068605  0.03229734
Up   -0.03969136 -0.02244444

Coefficients of linear discriminants:
            LD1
Lag1 -0.7567605
Lag2 -0.4707872

Result! “Prior probabilities of groups”는 사전확률을 의미하며, 함수 lda()의 옵션 prior을 이용하여 직접 지정할 수 있다. 만약 옵션으로 따로 지정해주지 않는다면, 예제처럼 데이터에서 계산된 각 클래스의 비율이 사전확률로 지정된다. 즉, 데이터 “smarket”에서 “Down”과 “Up”의 비율은 각각 48%와 52%이다. “Groups means”는 판별변수들의 클래스별 평균을 의미한다. “Coefficients of linear discriminants”는 선형판별계수로 이 계수들을 이용하여 선형판별함수 \(L(\boldsymbol{x})\)를 표현하면 다음과 같다.

\[ \begin{align} -0.757(x_{\text{Lag1}}-\bar{x}_{\text{Lag1}})-0.471(x_{\text{Lag2}}-\bar{x}_{\text{Lag2}}). \end{align} \] 여기서, \(\bar{x}_i\)\(i\)번째 예측변수의 전체 평균을 의미한다.
선형판별계수들의 부호에 관심을 가지고 이를 해석해보면, 하루 전의 수익률 \(x_{\text{Lag1}}\)과 2일 전의 수익률 \(x_{\text{Lag2}}\)이 클수록 \(L(\boldsymbol{x})\)은 작아지므로 오늘의 수익률은 감소(“Down”)일 확률이 커진다. 반면, \(L(\boldsymbol{x})\)이 클수록 오늘의 수익률은 증가(“Up”)일 확률이 커진다.


# 새로운 개체에 대한 클래스 예측
pred.smarket <- predict(smarket.lda,                # 함수 lda로부터 출력된 객체
                        smarket)                    # 새로운 데이터
pred.smarket
$class
   [1] Up   Down Down Up   Up   Up   Down Up   Up   Down Down Up  
  [13] Up   Up   Down Up   Up   Up   Up   Up   Up   Up   Up   Up  
  [25] Up   Up   Up   Up   Up   Up   Up   Up   Down Up   Up   Up  
  [37] Up   Up   Down Down Up   Up   Up   Up   Up   Up   Up   Up  
  [49] Up   Up   Up   Down Down Down Up   Up   Up   Up   Up   Up  
  [61] Down Up   Up   Down Down Down Up   Up   Down Down Up   Up  
  [73] Up   Up   Down Down Up   Down Up   Up   Up   Up   Up   Up  
  [85] Up   Up   Up   Up   Down Down Up   Down Up   Up   Up   Up  
  [97] Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
 [109] Up   Up   Up   Up   Down Down Up   Up   Up   Up   Up   Up  
 [121] Up   Up   Up   Up   Up   Up   Up   Down Down Up   Up   Up  
 [133] Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
 [145] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [157] Up   Up   Down Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [169] Up   Up   Up   Up   Up   Up   Down Down Up   Up   Down Down
 [181] Down Down Up   Up   Up   Up   Down Down Up   Up   Up   Up  
 [193] Up   Up   Down Up   Up   Down Down Up   Up   Up   Down Down
 [205] Down Down Up   Up   Up   Up   Down Down Up   Up   Up   Up  
 [217] Up   Up   Down Up   Up   Up   Up   Up   Up   Down Down Up  
 [229] Up   Up   Up   Up   Up   Down Down Down Up   Up   Up   Up  
 [241] Up   Up   Up   Up   Down Down Up   Up   Up   Up   Up   Up  
 [253] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Down
 [265] Up   Up   Up   Up   Up   Down Down Up   Up   Up   Up   Up  
 [277] Up   Up   Up   Down Down Up   Up   Down Down Up   Up   Up  
 [289] Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
 [301] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [313] Up   Up   Down Down Up   Up   Up   Up   Up   Up   Up   Up  
 [325] Up   Down Up   Up   Up   Up   Down Up   Up   Up   Down Up  
 [337] Up   Down Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
 [349] Up   Up   Up   Up   Up   Up   Up   Up   Up   Down Down Up  
 [361] Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Down Down
 [373] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Down
 [385] Down Down Down Down Down Up   Up   Up   Up   Down Down Down
 [397] Up   Up   Down Down Up   Down Up   Up   Down Up   Up   Up  
 [409] Up   Up   Up   Up   Up   Up   Up   Down Down Up   Up   Up  
 [421] Up   Up   Up   Up   Up   Up   Up   Down Down Up   Up   Down
 [433] Up   Up   Up   Up   Up   Up   Down Down Down Down Up   Up  
 [445] Down Down Up   Up   Up   Up   Up   Up   Up   Up   Down Down
 [457] Down Down Up   Up   Up   Up   Up   Down Down Up   Up   Down
 [469] Down Up   Up   Up   Down Down Up   Up   Up   Up   Up   Up  
 [481] Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up   Up  
 [493] Up   Up   Up   Down Down Down Up   Up   Down Down Up   Up  
 [505] Up   Up   Up   Up   Up   Up   Up   Up   Up   Down Up   Up  
 [517] Down Up   Up   Up   Up   Up   Up   Up   Up   Down Down Up  
 [529] Up   Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up  
 [541] Up   Up   Up   Down Down Down Down Down Up   Down Up   Up  
 [553] Up   Up   Up   Up   Up   Down Down Up   Up   Up   Up   Up  
 [565] Up   Down Down Up   Up   Up   Down Down Up   Up   Up   Down
 [577] Up   Up   Down Up   Up   Up   Up   Up   Down Up   Up   Up  
 [589] Up   Up   Up   Up   Down Up   Down Down Up   Down Down Up  
 [601] Down Down Up   Up   Up   Down Up   Up   Down Down Up   Up  
 [613] Up   Up   Up   Up   Up   Up   Up   Up   Down Up   Down Down
 [625] Up   Up   Up   Down Up   Up   Up   Up   Up   Up   Up   Up  
 [637] Down Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [649] Down Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [661] Up   Up   Down Down Up   Up   Up   Up   Up   Up   Up   Up  
 [673] Down Up   Down Up   Up   Up   Up   Up   Up   Up   Up   Down
 [685] Down Down Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [697] Up   Up   Up   Up   Up   Up   Down Down Up   Up   Up   Up  
 [709] Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
 [721] Up   Down Down Up   Up   Down Up   Up   Up   Up   Up   Up  
 [733] Up   Down Up   Up   Up   Up   Down Up   Up   Up   Up   Up  
 [745] Down Up   Up   Up   Down Up   Up   Up   Up   Up   Up   Up  
 [757] Up   Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up  
 [769] Up   Up   Up   Down Up   Up   Down Up   Up   Up   Up   Up  
 [781] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [793] Up   Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up  
 [805] Down Up   Down Down Up   Up   Down Down Up   Up   Up   Up  
 [817] Up   Up   Up   Up   Up   Up   Up   Down Up   Up   Up   Up  
 [829] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [841] Up   Up   Up   Up   Up   Up   Down Down Up   Up   Up   Up  
 [853] Up   Up   Down Down Up   Up   Up   Up   Up   Up   Up   Up  
 [865] Up   Down Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [877] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [889] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Down Up  
 [901] Up   Up   Down Down Down Up   Up   Up   Up   Up   Up   Up  
 [913] Up   Up   Up   Down Up   Up   Up   Up   Up   Up   Up   Up  
 [925] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Down
 [937] Down Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [949] Up   Up   Up   Up   Down Down Up   Up   Up   Up   Down Down
 [961] Down Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
 [973] Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
 [985] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
 [997] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1009] Up   Down Up   Up   Up   Up   Up   Up   Up   Up   Up   Down
[1021] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1033] Up   Up   Up   Down Down Up   Up   Up   Up   Up   Up   Up  
[1045] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1057] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1069] Up   Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up  
[1081] Up   Down Up   Down Up   Up   Up   Up   Up   Up   Up   Up  
[1093] Down Down Down Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1105] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1117] Up   Up   Up   Up   Up   Up   Up   Up   Up   Down Up   Up  
[1129] Down Down Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1141] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1153] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1165] Up   Up   Up   Up   Up   Down Up   Up   Up   Up   Up   Up  
[1177] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1189] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1201] Up   Up   Up   Down Up   Up   Up   Up   Down Up   Up   Down
[1213] Up   Up   Up   Up   Up   Up   Up   Up   Up   Down Up   Up  
[1225] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1237] Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up   Up  
[1249] Up   Up  
Levels: Down Up

$posterior
          Down        Up
1    0.4861024 0.5138976
2    0.5027466 0.4972534
3    0.5104516 0.4895484
4    0.4817860 0.5182140
5    0.4854771 0.5145229
6    0.4920394 0.5079606
7    0.5085978 0.4914022
8    0.4896886 0.5103114
9    0.4774690 0.5225310
10   0.5049515 0.4950485
11   0.5009933 0.4990067
12   0.4757670 0.5242330
13   0.4725803 0.5274197
14   0.4914597 0.5085403
15   0.5014641 0.4985359
16   0.4792082 0.5207918
17   0.4849422 0.5150578
18   0.4564777 0.5435223
19   0.4685145 0.5314855
20   0.4827347 0.5172653
21   0.4648411 0.5351589
22   0.4610982 0.5389018
23   0.4509274 0.5490726
24   0.4877323 0.5122677
25   0.4791523 0.5208477
26   0.4680124 0.5319876
27   0.4934894 0.5065106
28   0.4568575 0.5431425
29   0.4300164 0.5699836
30   0.4296920 0.5703080
31   0.4575529 0.5424471
32   0.4694109 0.5305891
33   0.5064355 0.4935645
34   0.4871797 0.5128203
35   0.4476485 0.5523515
36   0.4674781 0.5325219
37   0.4725005 0.5274995
38   0.4855877 0.5144123
39   0.5057132 0.4942868
40   0.5039907 0.4960093
41   0.4926145 0.5073855
42   0.4401221 0.5598779
43   0.3794898 0.6205102
44   0.4600878 0.5399122
45   0.4519891 0.5480109
46   0.4633242 0.5366758
47   0.4531294 0.5468706
48   0.4911035 0.5088965
49   0.4581774 0.5418226
50   0.4234334 0.5765666
51   0.4544719 0.5455281
52   0.5124070 0.4875930
53   0.5235835 0.4764165
54   0.5394124 0.4605876
55   0.4663069 0.5336931
56   0.4463226 0.5536774
57   0.4955127 0.5044873
58   0.4712207 0.5287793
59   0.4074426 0.5925574
60   0.4384717 0.5615283
61   0.5558085 0.4441915
62   0.4942552 0.5057448
63   0.4737853 0.5262147
64   0.5385875 0.4614125
65   0.5076456 0.4923544
66   0.5059792 0.4940208
67   0.4924208 0.5075792
68   0.4961735 0.5038265
69   0.5617983 0.4382017
70   0.5467444 0.4532556
71   0.4801335 0.5198665
72   0.4455044 0.5544956
73   0.4434169 0.5565831
74   0.4963598 0.5036402
75   0.5074781 0.4925219
76   0.5133856 0.4866144
77   0.4929622 0.5070378
78   0.5024692 0.4975308
79   0.4978906 0.5021094
80   0.4559270 0.5440730
81   0.4906850 0.5093150
82   0.4930787 0.5069213
83   0.4754833 0.5245167
84   0.4714430 0.5285570
85   0.4759648 0.5240352
86   0.4676590 0.5323410
87   0.4777028 0.5222972
88   0.4850845 0.5149155
89   0.5325429 0.4674571
90   0.5178085 0.4821915
91   0.4892477 0.5107523
92   0.5131890 0.4868110
93   0.4946530 0.5053470
94   0.4510149 0.5489851
95   0.4699643 0.5300357
96   0.4639906 0.5360094
97   0.4545865 0.5454135
98   0.4451287 0.5548713
99   0.4751491 0.5248509
100  0.4951874 0.5048126
101  0.4948210 0.5051790
102  0.5102431 0.4897569
103  0.4770570 0.5229430
104  0.4794852 0.5205148
105  0.4707775 0.5292225
106  0.4562398 0.5437602
107  0.4742631 0.5257369
108  0.4625746 0.5374254
109  0.4380039 0.5619961
110  0.4541208 0.5458792
111  0.4677805 0.5322195
112  0.4821489 0.5178511
113  0.5007577 0.4992423
114  0.5113286 0.4886714
115  0.4772099 0.5227901
116  0.4612275 0.5387725
117  0.4726696 0.5273304
118  0.4714591 0.5285409
119  0.4985035 0.5014965
120  0.4926457 0.5073543
121  0.4977566 0.5022434
122  0.4893344 0.5106656
123  0.4575539 0.5424461
124  0.4264564 0.5735436
125  0.4676960 0.5323040
126  0.4634755 0.5365245
127  0.4635314 0.5364686
128  0.5223761 0.4776239
129  0.5188026 0.4811974
130  0.4690117 0.5309883
131  0.4871455 0.5128545
132  0.4826263 0.5173737
133  0.4860810 0.5139190
134  0.4820415 0.5179585
135  0.4486558 0.5513442
136  0.4346862 0.5653138
137  0.4920547 0.5079453
138  0.5178699 0.4821301
139  0.4972966 0.5027034
140  0.4821826 0.5178174
141  0.4901665 0.5098335
142  0.4945249 0.5054751
143  0.4927947 0.5072053
144  0.4765101 0.5234899
145  0.4554055 0.5445945
146  0.4746297 0.5253703
147  0.4543172 0.5456828
148  0.4621623 0.5378377
149  0.4914882 0.5085118
150  0.4894394 0.5105606
151  0.4756880 0.5243120
152  0.4641794 0.5358206
153  0.4788218 0.5211782
154  0.4553033 0.5446967
155  0.4774561 0.5225439
156  0.4689577 0.5310423
157  0.4804602 0.5195398
158  0.4842411 0.5157589
159  0.5133840 0.4866160
160  0.4946127 0.5053873
161  0.4495180 0.5504820
162  0.4451611 0.5548389
163  0.4390996 0.5609004
164  0.4698143 0.5301857
165  0.4849125 0.5150875
166  0.4789426 0.5210574
167  0.4406571 0.5593429
168  0.4240100 0.5759900
169  0.4719089 0.5280911
170  0.4019442 0.5980558
171  0.4173219 0.5826781
172  0.4465161 0.5534839
173  0.4092664 0.5907336
174  0.4139771 0.5860229
175  0.5297568 0.4702432
176  0.5402133 0.4597867
177  0.4819784 0.5180216
178  0.4961790 0.5038210
179  0.5331757 0.4668243
180  0.5016356 0.4983644
181  0.5008206 0.4991794
182  0.5305500 0.4694500
183  0.4991272 0.5008728
184  0.4816316 0.5183684
185  0.4684409 0.5315591
186  0.4627163 0.5372837
187  0.5163610 0.4836390
188  0.5339084 0.4660916
189  0.4889096 0.5110904
190  0.4728993 0.5271007
191  0.4921079 0.5078921
192  0.4560547 0.5439453
193  0.4469711 0.5530289
194  0.4808499 0.5191501
195  0.5137468 0.4862532
196  0.4900243 0.5099757
197  0.4769413 0.5230587
198  0.5063136 0.4936864
199  0.5039670 0.4960330
200  0.4437969 0.5562031
201  0.4250204 0.5749796
202  0.4624626 0.5375374
203  0.5222992 0.4777008
204  0.5119675 0.4880325
205  0.5102436 0.4897564
206  0.5232563 0.4767437
207  0.4926797 0.5073203
208  0.4828028 0.5171972
209  0.4869833 0.5130167
210  0.4800476 0.5199524
211  0.5125399 0.4874601
212  0.5053227 0.4946773
213  0.4851084 0.5148916
214  0.4768592 0.5231408
215  0.4973777 0.5026223
216  0.4805244 0.5194756
217  0.4646248 0.5353752
218  0.4968369 0.5031631
219  0.5053735 0.4946265
220  0.4760878 0.5239122
221  0.4416131 0.5583869
222  0.4796627 0.5203373
223  0.4917350 0.5082650
224  0.4658318 0.5341682
225  0.4956500 0.5043500
226  0.5357601 0.4642399
227  0.5012238 0.4987762
228  0.4650005 0.5349995
229  0.4450438 0.5549562
230  0.4589901 0.5410099
231  0.4788517 0.5211483
232  0.4541471 0.5458529
233  0.4701265 0.5298735
234  0.5029763 0.4970237
235  0.5060056 0.4939944
236  0.5001575 0.4998425
237  0.4729756 0.5270244
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1250 0.4775860 0.5224140

$x
               LD1
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2    -0.9003564131
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941   1.0444330887
942   0.2071407006
943   0.0819032494
944   0.6640506949
945   1.0522087408
946   0.1058204620
947  -0.6020527270
948   0.4908845127
949   0.4314259314
950  -0.2073445602
951   0.6197965408
952   0.5274333575
953  -1.0808251221
954  -1.6704920116
955  -0.7386006867
956  -0.2658719715
957  -0.1310285571
958  -0.0109914639
959  -0.8431945753
960  -1.7445182113
961  -1.0489115423
962  -0.0942041432
963   0.1095066556
964   0.1141347451
965  -0.6355989752
966  -1.1126075298
967  -0.4014374575
968   0.5546568926
969  -0.0811811843
970  -0.3589886865
971   0.7852645148
972   0.0836565992
973  -0.2540985811
974  -0.2937553014
975  -0.2450329436
976   0.2305201729
977   0.4721428909
978  -0.9368829154
979  -0.6332418106
980  -0.0080246821
981   0.0295915029
982   0.8787313356
983   0.1566090875
984  -0.6366750248
985  -0.1726582908
986  -0.6266190086
987  -0.7151409498
988  -0.3266132763
989   0.0708203097
990   0.6694841887
991   0.3286095162
992  -0.6972545881
993  -0.6796568597
994  -0.1910733616
995   0.3092544050
996  -0.3334276714
997  -0.3265686656
998   0.0019882576
999   0.1023864436
1000  0.6823218513
1001  1.2701655307
1002  0.8288595173
1003 -0.0899803702
1004 -0.0522827083
1005 -0.1867427012
1006  0.3053615377
1007 -0.0092636855
1008  0.4704578675
1009 -0.0430201580
1010 -1.0095128858
1011  0.2676613768
1012  1.0402835307
1013  0.8561027351
1014  0.5736578650
1015 -0.1317695071
1016 -0.5498401236
1017 -0.2541413360
1018  0.1912834186
1019 -0.5074184579
1020 -0.9149471038
1021 -0.5602753675
1022  0.0646591773
1023 -0.7003087356
1024 -0.4325152989
1025  0.0197381274
1026  0.6314495716
1027  0.0900860388
1028 -0.7178896020
1029 -0.3744819079
1030 -0.2779392404
1031 -0.1642346212
1032  0.5956269923
1033  0.3246370277
1034  1.0698512407
1035  0.2633163534
1036 -0.8564488144
1037 -1.0712482808
1038  0.0515274753
1039 -0.1218050503
1040 -0.2412861681
1041 -0.0067582516
1042 -0.7383219752
1043 -0.6456649132
1044  0.2451164306
1045  1.0018636364
1046  0.3437214934
1047  0.4908048915
1048 -0.0636959103
1049  0.3092483555
1050  0.9702412753
1051  0.2489259654
1052 -0.0444271133
1053  0.3999567632
1054  1.0087406300
1055  0.4319765006
1056  0.0436839794
1057 -0.1351779542
1058  0.4650127571
1059 -0.6795141575
1060 -0.5913106148
1061  0.5291254819
1062  0.1041628657
1063 -0.4628067754
1064 -0.3779504544
1065 -0.5539078830
1066  0.3548251672
1067  0.3966265641
1068 -0.4157260426
1069  0.6334103249
1070  1.3151530513
1071  1.7408375783
1072  0.5694153743
1073 -0.5824235808
1074  0.7282777298
1075 -0.8653054398
1076 -0.4137736770
1077 -0.3328264420
1078  0.2660214465
1079  0.1220022785
1080  0.6799793712
1081 -0.3615559146
1082 -0.9037845429
1083 -0.1470198318
1084 -0.8989166246
1085 -0.3878373065
1086  0.2082260286
1087 -0.4275073383
1088  0.5144043490
1089  0.1918772253
1090  0.5665178095
1091  0.8235426719
1092 -0.5432040101
1093 -0.9969827348
1094 -1.0811950714
1095 -0.8196323058
1096 -0.1003691478
1097 -0.2155171061
1098 -0.1901279151
1099  0.2535712385
1100 -0.3187555039
1101 -0.3694919351
1102  0.4184341108
1103 -0.3905698266
1104 -0.5491244232
1105  0.4436659150
1106  0.2335825472
1107 -0.0382095928
1108  0.1780936337
1109 -0.2901056525
1110 -0.0641069198
1111 -0.0556460623
1112 -0.2961385200
1113 -0.2842463039
1114 -0.3744719861
1115 -0.5407453642
1116 -0.1745628169
1117  0.1933086261
1118  0.0846094684
1119  0.8139611542
1120  1.0920176026
1121  0.4199577144
1122 -0.6520940312
1123 -0.3173358805
1124  0.6093693630
1125  0.1414912216
1126 -0.7863481544
1127  0.2201800389
1128  0.2119769979
1129 -0.9944923072
1130 -1.0181078969
1131 -0.4612797821
1132 -0.1687167797
1133 -0.2349536942
1134 -0.2063836249
1135  0.3686240868
1136 -0.2442076959
1137 -0.6723109346
1138  0.2808708444
1139 -0.0934702942
1140  0.0353496919
1141  0.0513140222
1142 -0.4225389038
1143 -0.6341887911
1144  0.3215413376
1145  0.2939483357
1146 -0.5772779160
1147 -0.3855123317
1148  0.5276410828
1149  0.9298820051
1150  0.5672400419
1151 -0.3791387976
1152 -0.1740765409
1153 -0.4433720429
1154  0.1256706450
1155  0.0725851152
1156  0.7629779540
1157  0.5033338301
1158  0.0455846333
1159  0.0086901983
1160 -0.1477102825
1161  0.1831379780
1162  0.6615353393
1163  0.1399990780
1164  0.3505220946
1165 -0.1638101395
1166 -0.0344357120
1167 -0.5912379337
1168 -0.5373956434
1169  0.1772298249
1170 -0.8128150899
1171 -0.7717658515
1172  0.1780993616
1173 -0.4192062057
1174 -0.3139994711
1175  0.6101825115
1176  0.6079378013
1177  0.1243540369
1178 -0.6442638466
1179  0.0359798824
1180  0.8617890473
1181  1.0649511326
1182  0.1578871345
1183 -0.2087123110
1184 -0.0423357568
1185 -0.0099487300
1186 -0.0726275550
1187 -0.7140492506
1188 -0.4824633487
1189  0.0915972216
1190  0.8402124591
1191  1.6009380422
1192  1.0160207278
1193 -0.0822318234
1194  0.3731528725
1195  0.4989506538
1196  0.5615534081
1197  0.3442446356
1198 -0.5876682277
1199 -0.6093520250
1200  0.6254673643
1201 -0.6542258044
1202  0.4371035341
1203  0.5968415502
1204 -1.3366569649
1205 -0.6058817836
1206  0.4424871719
1207  1.0007411204
1208 -0.7543068787
1209 -1.3177599729
1210 -0.0668986487
1211 -0.5847830836
1212 -0.7874787364
1213 -0.2079166677
1214 -0.1685163163
1215  0.1627268215
1216  0.0392758750
1217 -0.7142788358
1218 -0.6238802780
1219 -0.0798159325
1220  0.3328210293
1221  0.0505397564
1222 -0.7916357171
1223 -0.7712385154
1224 -0.6012123123
1225 -0.6277923455
1226 -0.4970089462
1227 -0.3167792617
1228  0.5503555149
1229  0.4038731854
1230  0.4851049462
1231 -0.6160533223
1232 -0.5919466939
1233  0.1682771245
1234  0.0189872556
1235  0.3236230940
1236  0.3329359828
1237 -0.1504668400
1238 -0.1911122444
1239 -0.4548013771
1240 -0.5736227000
1241 -0.0858097564
1242  0.2868045688
1243  0.5808693148
1244  0.2978487866
1245 -0.1746579269
1246 -0.4332444715
1247 -0.2264660530
1248  0.7072092775
1249  0.3559697040
1250  0.1690591346
# 선형판별점수, 예측 확률, 예측 클래스
pf <- cbind(smarket, pred.smarket$x, pred.smarket$posterior, pred.smarket$class)
pf
     Year   Lag1   Lag2   Lag3   Lag4   Lag5  Volume  Today Direction
1    2001  0.381 -0.192 -2.624 -1.055  5.010 1.19130  0.959        Up
2    2001  0.959  0.381 -0.192 -2.624 -1.055 1.29650  1.032        Up
3    2001  1.032  0.959  0.381 -0.192 -2.624 1.41120 -0.623      Down
4    2001 -0.623  1.032  0.959  0.381 -0.192 1.27600  0.614        Up
5    2001  0.614 -0.623  1.032  0.959  0.381 1.20570  0.213        Up
6    2001  0.213  0.614 -0.623  1.032  0.959 1.34910  1.392        Up
7    2001  1.392  0.213  0.614 -0.623  1.032 1.44500 -0.403      Down
8    2001 -0.403  1.392  0.213  0.614 -0.623 1.40780  0.027        Up
9    2001  0.027 -0.403  1.392  0.213  0.614 1.16400  1.303        Up
10   2001  1.303  0.027 -0.403  1.392  0.213 1.23260  0.287        Up
11   2001  0.287  1.303  0.027 -0.403  1.392 1.30900 -0.498      Down
12   2001 -0.498  0.287  1.303  0.027 -0.403 1.25800 -0.189      Down
13   2001 -0.189 -0.498  0.287  1.303  0.027 1.09800  0.680        Up
14   2001  0.680 -0.189 -0.498  0.287  1.303 1.05310  0.701        Up
15   2001  0.701  0.680 -0.189 -0.498  0.287 1.14980 -0.562      Down
16   2001 -0.562  0.701  0.680 -0.189 -0.498 1.29530  0.546        Up
17   2001  0.546 -0.562  0.701  0.680 -0.189 1.11880 -1.747      Down
18   2001 -1.747  0.546 -0.562  0.701  0.680 1.04840  0.359        Up
19   2001  0.359 -1.747  0.546 -0.562  0.701 1.01300 -0.151      Down
20   2001 -0.151  0.359 -1.747  0.546 -0.562 1.05960 -0.841      Down
21   2001 -0.841 -0.151  0.359 -1.747  0.546 1.15830 -0.623      Down
22   2001 -0.623 -0.841 -0.151  0.359 -1.747 1.10720 -1.334      Down
23   2001 -1.334 -0.623 -0.841 -0.151  0.359 1.07550  1.183        Up
24   2001  1.183 -1.334 -0.623 -0.841 -0.151 1.03910 -0.865      Down
25   2001 -0.865  1.183 -1.334 -0.623 -0.841 1.07520 -0.218      Down
26   2001 -0.218 -0.865  1.183 -1.334 -0.623 1.15030  0.812        Up
27   2001  0.812 -0.218 -0.865  1.183 -1.334 1.15370 -1.891      Down
28   2001 -1.891  0.812 -0.218 -0.865  1.183 1.25720 -1.736      Down
29   2001 -1.736 -1.891  0.812 -0.218 -0.865 1.11220 -1.851      Down
30   2001 -1.851 -1.736 -1.891  0.812 -0.218 1.20850 -0.195      Down
31   2001 -0.195 -1.851 -1.736 -1.891  0.812 1.36590 -0.556      Down
32   2001 -0.556 -0.195 -1.851 -1.736 -1.891 1.23130  1.749        Up
33   2001  1.749 -0.556 -0.195 -1.851 -1.736 1.13080 -0.766      Down
34   2001 -0.766  1.749 -0.556 -0.195 -1.851 1.11410 -1.431      Down
35   2001 -1.431 -0.766  1.749 -0.556 -0.195 1.22530  0.104        Up
36   2001  0.104 -1.431 -0.766  1.749 -0.556 1.29490 -0.568      Down
37   2001 -0.568  0.104 -1.431 -0.766  1.749 1.29400  0.586        Up
38   2001  0.586 -0.568  0.104 -1.431 -0.766 0.92920  0.998        Up
39   2001  0.998  0.586 -0.568  0.104 -1.431 1.09180  0.645        Up
40   2001  0.645  0.998  0.586 -0.568  0.104 1.13220  0.226        Up
41   2001  0.226  0.645  0.998  0.586 -0.568 1.11410 -2.476      Down
42   2001 -2.476  0.226  0.645  0.998  0.586 1.08590 -4.318      Down
43   2001 -4.318 -2.476  0.226  0.645  0.998 1.22900  1.483        Up
44   2001  1.483 -4.318 -2.476  0.226  0.645 1.36090 -2.584      Down
45   2001 -2.584  1.483 -4.318 -2.476  0.226 1.39740  0.587        Up
46   2001  0.587 -2.584  1.483 -4.318 -2.476 1.25950 -1.962      Down
47   2001 -1.962  0.587 -2.584  1.483 -4.318 1.54356  1.763        Up
48   2001  1.763 -1.962  0.587 -2.584  1.483 1.12620 -2.408      Down
49   2001 -2.408  1.763 -1.962  0.587 -2.584 1.23590 -1.792      Down
50   2001 -1.792 -2.408  1.763 -1.962  0.587 1.34630 -0.406      Down
51   2001 -0.406 -1.792 -2.408  1.763 -1.962 1.72395  1.991        Up
52   2001  1.991 -0.406 -1.792 -2.408  1.763 1.36490  1.128        Up
53   2001  1.128  1.991 -0.406 -1.792 -2.408 1.11400  2.557        Up
54   2001  2.557  1.128  1.991 -0.406 -1.792 1.31420 -2.443      Down
55   2001 -2.443  2.557  1.128  1.991 -0.406 1.33340 -0.463      Down
56   2001 -0.463 -2.443  2.557  1.128  1.991 1.23450  1.078        Up
57   2001  1.078 -0.463 -2.443  2.557  1.128 1.28080 -1.246      Down
58   2001 -1.246  1.078 -0.463 -2.443  2.557 1.25490 -3.439      Down
59   2001 -3.439 -1.246  1.078 -0.463 -2.443 1.38610 -0.290      Down
60   2001 -0.290 -3.439 -1.246  1.078 -0.463 1.42559  4.368        Up
61   2001  4.368 -0.290 -3.439 -1.246  1.078 1.36800 -1.998      Down
62   2001 -1.998  4.368 -0.290 -3.439 -1.246 1.26680  0.812        Up
63   2001  0.812 -1.998  4.368 -0.290 -3.439 1.06280  2.707        Up
64   2001  2.707  0.812 -1.998  4.368 -0.290 1.34960 -0.213      Down
65   2001 -0.213  2.707  0.812 -1.998  4.368 1.29030  1.510        Up
66   2001  1.510 -0.213  2.707  0.812 -1.998 1.10200 -0.323      Down
67   2001 -0.323  1.510 -0.213  2.707  0.812 0.91390  1.028        Up
68   2001  1.028 -0.323  1.510 -0.213  2.707 1.10960  3.889        Up
69   2001  3.889  1.028 -0.323  1.510 -0.213 1.91890  1.254        Up
70   2001  1.254  3.889  1.028 -0.323  1.510 1.48680 -0.854      Down
71   2001 -0.854  1.254  3.889  1.028 -0.323 1.33870 -1.498      Down
72   2001 -1.498 -0.854  1.254  3.889  1.028 1.01260 -1.216      Down
73   2001 -1.216 -1.498 -0.854  1.254  3.889 1.21650  1.594        Up
74   2001  1.594 -1.216 -1.498 -0.854  1.254 1.20360  0.470        Up
75   2001  0.470  1.594 -1.216 -1.498 -0.854 1.34520  1.501        Up
76   2001  1.501  0.470  1.594 -1.216 -1.498 1.09130 -0.287      Down
77   2001 -0.287  1.501  0.470  1.594 -1.216 1.26680  1.359        Up
78   2001  1.359 -0.287  1.501  0.470  1.594 1.18130  0.078        Up
79   2001  0.078  1.359 -0.287  1.501  0.470 1.34220 -1.487      Down
80   2001 -1.487  0.078  1.359 -0.287  1.501 1.13790  1.444        Up
81   2001  1.444 -1.487  0.078  1.359 -0.287 1.08210 -0.245      Down
82   2001 -0.245  1.444 -1.487  0.078  1.359 0.94900 -0.183      Down
83   2001 -0.183 -0.245  1.444 -1.487  0.078 1.00630 -0.449      Down
84   2001 -0.449 -0.183 -0.245  1.444 -1.487 1.13240 -0.029      Down
85   2001 -0.029 -0.449 -0.183 -0.245  1.444 1.05670 -0.758      Down
86   2001 -0.758 -0.029 -0.449 -0.183 -0.245 0.90620  0.261        Up
87   2001  0.261 -0.758 -0.029 -0.449 -0.183 0.85820  0.042        Up
88   2001  0.042  0.261 -0.758 -0.029 -0.449 1.07180  2.845        Up
89   2001  2.845  0.042  0.261 -0.758 -0.029 1.40530  0.272        Up
90   2001  0.272  2.845  0.042  0.261 -0.758 1.35560  0.269        Up
91   2001  0.269  0.272  2.845  0.042  0.261 1.13080  1.615        Up
92   2001  1.615  0.269  0.272  2.845  0.042 1.17490 -0.263      Down
93   2001 -0.263  1.615  0.269  0.272  2.845 1.26040 -1.553      Down
94   2001 -1.553 -0.263  1.615  0.269  0.272 1.13480  0.320        Up
95   2001  0.320 -1.553 -0.263  1.615  0.269 1.10070 -1.182      Down
96   2001 -1.182  0.320 -1.553 -0.263  1.615 0.82810 -0.779      Down
97   2001 -0.779 -1.182  0.320 -1.553 -0.263 1.02600 -1.566      Down
98   2001 -1.566 -0.779 -1.182  0.320 -1.553 1.15860  0.620        Up
99   2001  0.620 -1.566 -0.779 -1.182  0.320 1.22660  0.386        Up
100  2001  0.386  0.620 -1.566 -0.779 -1.182 1.01500  0.511        Up
101  2001  0.511  0.386  0.620 -1.566 -0.779 0.83650  1.299        Up
102  2001  1.299  0.511  0.386  0.620 -1.566 1.11680 -1.055      Down
103  2001 -1.055  1.299  0.511  0.386  0.620 1.06190  0.546        Up
104  2001  0.546 -1.055  1.299  0.511  0.386 1.08960 -0.940      Down
105  2001 -0.940  0.546 -1.055  1.299  0.511 0.72620 -0.836      Down
106  2001 -0.836 -0.940  0.546 -1.055  1.299 0.87010  0.116        Up
107  2001  0.116 -0.836 -0.940  0.546 -1.055 1.13650 -1.135      Down
108  2001 -1.135  0.116 -0.836 -0.940  0.546 1.06360 -1.750      Down
109  2001 -1.750 -1.135  0.116 -0.836 -0.940 1.24290 -0.452      Down
110  2001 -0.452 -1.750 -1.135  0.116 -0.836 1.63555 -0.488      Down
111  2001 -0.488 -0.452 -1.750 -1.135  0.116 1.11160  0.343        Up
112  2001  0.343 -0.488 -0.452 -1.750 -1.135 1.18490  0.871        Up
113  2001  0.871  0.343 -0.488 -0.452 -1.750 1.35010  1.136        Up
114  2001  1.136  0.871  0.343 -0.488 -0.452 1.54682 -0.945      Down
115  2001 -0.945  1.136  0.871  0.343 -0.488 1.18920 -0.551      Down
116  2001 -0.551 -0.945  1.136  0.871  0.343 1.05010 -0.151      Down
117  2001 -0.151 -0.551 -0.945  1.136  0.871 1.19890 -0.468      Down
118  2001 -0.468 -0.151 -0.551 -0.945  1.136 1.16210  1.249        Up
119  2001  1.249 -0.468 -0.151 -0.551 -0.945 1.32730 -0.148      Down
120  2001 -0.148  1.249 -0.468 -0.151 -0.551 1.83236  1.008        Up
121  2001  1.008 -0.148  1.249 -0.468 -0.151 1.12830 -0.184      Down
122  2001 -0.184  1.008 -0.148  1.249 -0.468 0.62211 -1.232      Down
123  2001 -1.232 -0.184  1.008 -0.148  1.249 0.93490 -2.350      Down
124  2001 -2.350 -1.232 -0.184  1.008 -0.148 1.05670  0.688        Up
125  2001  0.688 -2.350 -1.232 -0.184  1.008 1.04570 -1.440      Down
126  2001 -1.440  0.688 -2.350 -1.232 -0.184 1.26380 -0.113      Down
127  2001 -0.113 -1.440  0.688 -2.350 -1.232 1.38410  2.369        Up
128  2001  2.369 -0.113 -1.440  0.688 -2.350 1.39400  0.624        Up
129  2001  0.624  2.369 -0.113 -1.440  0.688 1.12170 -1.088      Down
130  2001 -1.088  0.624  2.369 -0.113 -1.440 1.03980  0.997        Up
131  2001  0.997 -1.088  0.624  2.369 -0.113 1.23810 -0.554      Down
132  2001 -0.554  0.997 -1.088  0.624  2.369 1.31630  0.605        Up
133  2001  0.605 -0.554  0.997 -1.088  0.624 1.34350 -0.343      Down
134  2001 -0.343  0.605 -0.554  0.997 -1.088 1.17090 -1.637      Down
135  2001 -1.637 -0.343  0.605 -0.554  0.997 0.98690 -1.627      Down
136  2001 -1.627 -1.637 -0.343  0.605 -0.554 1.19870  1.608        Up
137  2001  1.608 -1.627 -1.637 -0.343  0.605 1.28070  1.045        Up
138  2001  1.045  1.608 -1.627 -1.637 -0.343 1.21390  0.240        Up
139  2001  0.240  1.045  1.608 -1.627 -1.637 1.01530 -0.108      Down
140  2001 -0.108  0.240  1.045  1.608 -1.627 0.90910  0.557        Up
141  2001  0.557 -0.108  0.240  1.045  1.608 1.12920  0.388        Up
142  2001  0.388  0.557 -0.108  0.240  1.045 1.34030  0.396        Up
143  2001  0.396  0.388  0.557 -0.108  0.240 1.21830 -0.524      Down
144  2001 -0.524  0.396  0.388  0.557 -0.108 0.93990 -1.142      Down
145  2001 -1.142 -0.524  0.396  0.388  0.557 0.81170  0.327        Up
146  2001  0.327 -1.142 -0.524  0.396  0.388 1.01200 -1.733      Down
147  2001 -1.733  0.327 -1.142 -0.524  0.396 1.12460 -0.008      Down
148  2001 -0.008 -1.733  0.327 -1.142 -0.524 1.10420  0.569        Up
149  2001  0.569 -0.008 -1.733  0.327 -1.142 0.96090  0.095        Up
150  2001  0.095  0.569 -0.008 -1.733  0.327 0.83760 -0.383      Down
151  2001 -0.383  0.095  0.569 -0.008 -1.733 0.96460 -0.734      Down
152  2001 -0.734 -0.383  0.095  0.569 -0.008 1.06560  0.309        Up
153  2001  0.309 -0.734 -0.383  0.095  0.569 1.05540 -1.666      Down
154  2001 -1.666  0.309 -0.734 -0.383  0.095 0.97430  0.812        Up
155  2001  0.812 -1.666  0.309 -0.734 -0.383 0.89710 -1.208      Down
156  2001 -1.208  0.812 -1.666  0.309 -0.734 1.04160  0.696        Up
157  2001  0.696 -1.208  0.812 -1.666  0.309 1.11080 -0.276      Down
158  2001 -0.276  0.696 -1.208  0.812 -1.666 0.98620  1.965        Up
159  2001  1.965 -0.276  0.696 -1.208  0.812 1.04360 -0.483      Down
160  2001 -0.483  1.965 -0.276  0.696 -1.208 0.84260 -1.501      Down
161  2001 -1.501 -0.483  1.965 -0.276  0.696 0.98710 -1.115      Down
162  2001 -1.115 -1.501 -0.483  1.965 -0.276 0.96370 -1.700      Down
163  2001 -1.700 -1.115 -1.501 -0.483  1.965 1.15700  0.403        Up
164  2001  0.403 -1.700 -1.115 -1.501 -0.483 0.92010 -0.056      Down
165  2001 -0.056  0.403 -1.700 -1.115 -1.501 1.17830 -0.106      Down
166  2001 -0.106 -0.056  0.403 -1.700 -1.115 1.38450 -2.239      Down
167  2001 -2.239 -0.106 -0.056  0.403 -1.700 1.35970 -1.864      Down
168  2001 -1.864 -2.239 -0.106 -0.056  0.403 1.42430  0.623        Up
169  2001  0.623 -1.864 -2.239 -0.106 -0.056 1.27660 -4.922      Down
170  2001 -4.922  0.623 -1.864 -2.239 -0.106 2.33083 -0.580      Down
171  2001 -0.580 -4.922  0.623 -1.864 -2.239 1.65041 -1.611      Down
172  2001 -1.611 -0.580 -4.922  0.623 -1.864 2.12055 -3.106      Down
173  2001 -3.106 -1.611 -0.580 -4.922  0.623 2.00480 -1.903      Down
174  2001 -1.903 -3.106 -1.611 -0.580 -4.922 2.31730  3.898        Up
175  2001  3.898 -1.903 -3.106 -1.611 -0.580 1.74660  0.879        Up
176  2001  0.879  3.898 -1.903 -3.106 -1.611 1.61380 -0.517      Down
177  2001 -0.517  0.879  3.898 -1.903 -3.106 1.51910  1.149        Up
178  2001  1.149 -0.517  0.879  3.898 -1.903 1.46700  2.192        Up
179  2001  2.192  1.149 -0.517  0.879  3.898 1.63150 -0.230      Down
180  2001 -0.230  2.192  1.149 -0.517  0.879 1.17560  1.231        Up
181  2001  1.231 -0.230  2.192  1.149 -0.517 1.28980  1.993        Up
182  2001  1.993  1.231 -0.230  2.192  1.149 1.65060 -0.247      Down
183  2001 -0.247  1.993  1.231 -0.230  2.192 1.60910  0.164        Up
184  2001  0.164 -0.247  1.993  1.231 -0.230 1.30170 -0.834      Down
185  2001 -0.834  0.164 -0.247  1.993  1.231 0.97900 -0.536      Down
186  2001 -0.536 -0.834  0.164 -0.247  1.993 1.22780  2.294        Up
187  2001  2.294 -0.536 -0.834  0.164 -0.247 1.31240  1.521        Up
188  2001  1.521  2.294 -0.536 -0.834  0.164 1.70458 -0.527      Down
189  2001 -0.527  1.521  2.294 -0.536 -0.834 1.33140 -0.153      Down
190  2001 -0.153 -0.527  1.521  2.294 -0.536 1.02470  0.694        Up
191  2001  0.694 -0.153 -0.527  1.521  2.294 1.21050 -1.863      Down
192  2001 -1.863  0.694 -0.153 -0.527  1.521 1.45220 -0.787      Down
193  2001 -0.787 -1.863  0.694 -0.153 -0.527 1.26290  0.456        Up
194  2001  0.456 -0.787 -1.863  0.694 -0.153 1.29490  1.530        Up
195  2001  1.530  0.456 -0.787 -1.863  0.694 1.10570 -0.470      Down
196  2001 -0.470  1.530  0.456 -0.787 -1.863 1.31730  0.039        Up
197  2001  0.039 -0.470  1.530  0.456 -0.787 1.33620  1.372        Up
198  2001  1.372  0.039 -0.470  1.530  0.456 1.36440  0.411        Up
199  2001  0.411  1.372  0.039 -0.470  1.530 1.24450 -2.382      Down
200  2001 -2.382  0.411  1.372  0.039 -0.470 1.10610 -1.717      Down
201  2001 -1.717 -2.382  0.411  1.372  0.039 1.29740 -0.001      Down
202  2001 -0.001 -1.717 -2.382  0.411  1.372 1.35250  2.295        Up
203  2001  2.295 -0.001 -1.717 -2.382  0.411 1.31740  0.286        Up
204  2001  0.286  2.295 -0.001 -1.717 -2.382 1.12190  1.439        Up
205  2001  1.439  0.286  2.295 -0.001 -1.717 1.26770  1.453        Up
206  2001  1.453  1.439  0.286  2.295 -0.001 1.35600 -0.273      Down
207  2001 -0.273  1.453  1.439  0.286  2.295 1.41130  0.246        Up
208  2001  0.246 -0.273  1.453  1.439  0.286 1.51750  0.158        Up
209  2001  0.158  0.246 -0.273  1.453  1.439 1.09380 -0.177      Down
210  2001 -0.177  0.158  0.246 -0.273  1.453 0.99160  1.856        Up
211  2001  1.856 -0.177  0.158  0.246 -0.273 1.37010  0.186        Up
212  2001  0.186  1.856 -0.177  0.158  0.246 1.44340  0.090        Up
213  2001  0.090  0.186  1.856 -0.177  0.158 1.45450 -0.314      Down
214  2001 -0.314  0.090  0.186  1.856 -0.177 1.33740  1.090        Up
215  2001  1.090 -0.314  0.090  0.186  1.856 1.31680 -0.730      Down
216  2001 -0.730  1.090 -0.314  0.090  0.186 1.33020 -0.493      Down
217  2001 -0.493 -0.730  1.090 -0.314  0.090 1.02930  1.171        Up
218  2001  1.171 -0.493 -0.730  1.090 -0.314 0.41030  0.615        Up
219  2001  0.615  1.171 -0.493 -0.730  1.090 1.12980 -0.684      Down
220  2001 -0.684  0.615  1.171 -0.493 -0.730 1.28800 -1.825      Down
221  2001 -1.825 -0.684  0.615  1.171 -0.493 1.42370  1.035        Up
222  2001  1.035 -1.825 -0.684  0.615  1.171 1.37570 -0.066      Down
223  2001 -0.066  1.035 -1.825 -0.684  0.615 1.34360 -0.838      Down
224  2001 -0.838 -0.066  1.035 -1.825 -0.684 1.20290  1.319        Up
225  2001  1.319 -0.838 -0.066  1.035 -1.825 1.31850  2.232        Up
226  2001  2.232  1.319 -0.838 -0.066  1.035 1.76530 -0.278      Down
227  2001 -0.278  2.232  1.319 -0.838 -0.066 1.48790 -0.753      Down
228  2001 -0.753 -0.278  2.232  1.319 -0.838 1.24820 -1.587      Down
229  2001 -1.587 -0.753 -0.278  2.232  1.319 1.21870 -0.278      Down
230  2001 -0.278 -1.587 -0.753 -0.278  2.232 1.36720  0.027        Up
231  2001  0.027 -0.278 -1.587 -0.753 -0.278 1.44970 -1.556      Down
232  2001 -1.556  0.027 -0.278 -1.587 -0.753 1.51150  0.331        Up
233  2001  0.331 -1.556  0.027 -0.278 -1.587 1.30680  1.003        Up
234  2001  1.003  0.331 -1.556  0.027 -0.278 1.26040  0.755        Up
235  2001  0.755  1.003  0.331 -1.556  0.027 1.35400  0.581        Up
236  2001  0.581  0.755  1.003  0.331 -1.556 1.48490 -0.838      Down
237  2001 -0.838  0.581  0.755  1.003  0.331 1.49050  0.435        Up
238  2001  0.435 -0.838  0.581  0.755  1.003 1.69400 -0.021      Down
239  2001 -0.021  0.435 -0.838  0.581  0.755 0.43967  0.412        Up
240  2001  0.412 -0.021  0.435 -0.838  0.581 0.79110  0.675        Up
241  2001  0.675  0.412 -0.021  0.435 -0.838 0.87630  0.336        Up
242  2001  0.336  0.675  0.412 -0.021  0.435 0.91740 -1.115      Down
243  2002 -1.115  0.336  0.675  0.412 -0.021 0.94360  0.574        Up
244  2002  0.574 -1.115  0.336  0.675  0.412 1.17100  0.918        Up
245  2002  0.918  0.574 -1.115  0.336  0.675 1.39890  0.621        Up
246  2002  0.621  0.918  0.574 -1.115  0.336 1.51300 -0.650      Down
247  2002 -0.650  0.621  0.918  0.574 -1.115 1.30830 -0.359      Down
248  2002 -0.359 -0.650  0.621  0.918  0.574 1.25880 -0.480      Down
249  2002 -0.480 -0.359 -0.650  0.621  0.918 1.45200  0.122        Up
250  2002  0.122 -0.480 -0.359 -0.650  0.621 1.29900 -0.947      Down
251  2002 -0.947  0.122 -0.480 -0.359 -0.650 1.21190 -0.628      Down
252  2002 -0.628 -0.947  0.122 -0.480 -0.359 1.28640  0.683        Up
253  2002  0.683 -0.628 -0.947  0.122 -0.480 1.38690 -1.625      Down
254  2002 -1.625  0.683 -0.628 -0.947  0.122 1.48250  1.003        Up
255  2002  1.003 -1.625  0.683 -0.628 -0.947 1.38010 -0.992      Down
256  2002 -0.992  1.003 -1.625  0.683 -0.628 1.33330 -0.733      Down
257  2002 -0.733 -0.992  1.003 -1.625  0.683 1.31160  0.792        Up
258  2002  0.792 -0.733 -0.992  1.003 -1.625 1.47920  0.352        Up
259  2002  0.352  0.792 -0.733 -0.992  1.003 1.55280  0.100        Up
260  2002  0.100  0.352  0.792 -0.733 -0.992 1.34510 -0.019      Down
261  2002 -0.019  0.100  0.352  0.792 -0.733 1.18680 -2.861      Down
262  2002 -2.861 -0.019  0.100  0.352  0.792 1.81200  1.175        Up
263  2002  1.175 -2.861 -0.019  0.100  0.352 2.01960  1.493        Up
264  2002  1.493  1.175 -2.861 -0.019  0.100 1.55700 -0.708      Down
265  2002 -0.708  1.493  1.175 -2.861 -0.019 1.36720 -2.474      Down
266  2002 -2.474 -0.708  1.493  1.175 -2.861 1.43760 -0.404      Down
267  2002 -0.404 -2.474 -0.708  1.493  1.175 1.77830 -0.597      Down
268  2002 -0.597 -0.404 -2.474 -0.708  1.493 1.66580 -0.308      Down
269  2002 -0.308 -0.597 -0.404 -2.474 -0.708 1.44160  1.486        Up
270  2002  1.486 -0.308 -0.597 -0.404 -2.474 1.37190  1.434        Up
271  2002  1.434  1.486 -0.308 -0.597 -0.404 1.15940 -0.399      Down
272  2002 -0.399  1.434  1.486 -0.308 -0.597 1.09420  0.994        Up
273  2002  0.994 -0.399  1.434  1.486 -0.308 1.21590 -0.181      Down
274  2002 -0.181  0.994 -0.399  1.434  1.486 1.27250 -1.102      Down
275  2002 -1.102 -0.181  0.994 -0.399  1.434 1.35920 -1.887      Down
276  2002 -1.887 -1.102 -0.181  0.994 -0.399 1.18990  1.351        Up
277  2002  1.351 -1.887 -1.102 -0.181  0.994 1.43890 -1.551      Down
278  2002 -1.551  1.351 -1.887 -1.102 -0.181 1.38160  0.822        Up
279  2002  0.822 -1.551  1.351 -1.887 -1.102 1.41100  1.798        Up
280  2002  1.798  0.822 -1.551  1.351 -1.887 1.36740 -0.005      Down
281  2002 -0.005  1.798  0.822 -1.551  1.351 1.30920  0.046        Up
282  2002  0.046 -0.005  1.798  0.822 -1.551 1.39380 -0.285      Down
283  2002 -0.285  0.046 -0.005  1.798  0.822 1.39220  2.263        Up
284  2002  2.263 -0.285  0.046 -0.005  1.798 1.45650  1.949        Up
285  2002  1.949  2.263 -0.285  0.046 -0.005 1.59430 -0.667      Down
286  2002 -0.667  1.949  2.263 -0.285  0.046 1.54930  1.451        Up
287  2002  1.451 -0.667  1.949  2.263 -0.285 1.54130 -0.450      Down
288  2002 -0.450  1.451 -0.667  1.949  2.263 1.51740  0.585        Up
289  2002  0.585 -0.450  1.451 -0.667  1.949 1.41200  0.339        Up
290  2002  0.339  0.585 -0.450  1.451 -0.667 1.21020 -0.229      Down
291  2002 -0.229  0.339  0.585 -0.450  1.451 1.30440 -0.986      Down
292  2002 -0.986 -0.229  0.339  0.585 -0.450 1.35400 -0.091      Down
293  2002 -0.091 -0.986 -0.229  0.339  0.585 1.20880  1.138        Up
294  2002  1.138 -0.091 -0.986 -0.229  0.339 1.49390 -0.052      Down
295  2002 -0.052  1.138 -0.091 -0.986 -0.229 1.16950  0.407        Up
296  2002  0.407 -0.052  1.138 -0.091 -0.986 1.25500 -1.576      Down
297  2002 -1.576  0.407 -0.052  1.138 -0.091 1.30490  0.151        Up
298  2002  0.151 -1.576  0.407 -0.052  1.138 1.33920 -0.424      Down
299  2002 -0.424  0.151 -1.576  0.407 -0.052 1.24330 -1.465      Down
300  2002 -1.465 -0.424  0.151 -1.576  0.407 1.05790  0.585        Up
301  2002  0.585 -1.465 -0.424  0.151 -1.576 1.22360  0.535        Up
302  2002  0.535  0.585 -1.465 -0.424  0.151 1.18010  0.246        Up
303  2002  0.246  0.535  0.585 -1.465 -0.424 1.14760 -0.074      Down
304  2002 -0.074  0.246  0.535  0.585 -1.465 1.05090 -0.853      Down
305  2002 -0.853 -0.074  0.246  0.535  0.585 1.17670 -0.999      Down
306  2002 -0.999 -0.853 -0.074  0.246  0.535 1.21970  0.084        Up
307  2002  0.084 -0.999 -0.853 -0.074  0.246 1.28380 -0.321      Down
308  2002 -0.321  0.084 -0.999 -0.853 -0.074 1.11020  0.228        Up
309  2002  0.228 -0.321  0.084 -0.999 -0.853 1.09530 -0.666      Down
310  2002 -0.666  0.228 -0.321  0.084 -0.999 1.23540  1.133        Up
311  2002  1.133 -0.666  0.228 -0.321  0.084 1.44790 -2.369      Down
312  2002 -2.369  1.133 -0.666  0.228 -0.321 1.50560  0.663        Up
313  2002  0.663 -2.369  1.133 -0.666  0.228 1.28210 -0.761      Down
314  2002 -0.761  0.663 -2.369  1.133 -0.666 1.12040  2.342        Up
315  2002  2.342 -0.761  0.663 -2.369  1.133 1.34130 -0.204      Down
316  2002 -0.204  2.342 -0.761  0.663 -2.369 1.37690 -0.142      Down
317  2002 -0.142 -0.204  2.342 -0.761  0.663 1.35930  0.062        Up
318  2002  0.062 -0.142 -0.204  2.342 -0.761 1.18500 -1.541      Down
319  2002 -1.541  0.062 -0.142 -0.204  2.342 1.18180 -0.620      Down
320  2002 -0.620 -1.541  0.062 -0.142 -0.204 1.38850 -0.710      Down
321  2002 -0.710 -0.620 -1.541  0.062 -0.142 1.37320 -0.152      Down
322  2002 -0.152 -0.710 -0.620 -1.541  0.062 1.51740 -1.389      Down
323  2002 -1.389 -0.152 -0.710 -0.620 -1.541 1.37420 -1.010      Down
324  2002 -1.010 -1.389 -0.152 -0.710 -0.620 1.31470  1.077        Up
325  2002  1.077 -1.010 -1.389 -0.152 -0.710 1.62860  0.886        Up
326  2002  0.886  1.077 -1.010 -1.389 -0.152 1.45140 -0.175      Down
327  2002 -0.175  0.886  1.077 -1.010 -1.389 1.36400 -1.026      Down
328  2002 -1.026 -0.175  0.886  1.077 -1.010 1.28450 -1.934      Down
329  2002 -1.934 -1.026 -0.175  0.886  1.077 1.12260 -0.302      Down
330  2002 -0.302 -1.934 -1.026 -0.175  0.886 1.35470  3.750        Up
331  2002  3.750 -0.302 -1.934 -1.026 -0.175 1.50200 -1.455      Down
332  2002 -1.455  3.750 -0.302 -1.934 -1.026 1.15300 -1.679      Down
333  2002 -1.679 -1.455  3.750 -0.302 -1.934 1.17190  1.855        Up
334  2002  1.855 -1.679 -1.455  3.750 -0.302 1.08860  2.114        Up
335  2002  2.114  1.855 -1.679 -1.455  3.750 1.41450 -0.566      Down
336  2002 -0.566  2.114  1.855 -1.679 -1.455 1.42020  0.656        Up
337  2002  0.656 -0.566  2.114  1.855 -1.679 1.25660  0.761        Up
338  2002  0.761  0.656 -0.566  2.114  1.855 1.27440 -1.329      Down
339  2002 -1.329  0.761  0.656 -0.566  2.114 0.98980 -1.099      Down
340  2002 -1.099 -1.329  0.761  0.656 -0.566 1.20050  0.569        Up
341  2002  0.569 -1.099 -1.329  0.761  0.656 1.13630  1.018        Up
342  2002  1.018  0.569 -1.099 -1.329  0.761 1.19290 -1.209      Down
343  2002 -1.209  1.018  0.569 -1.099 -1.329 0.88540 -0.855      Down
344  2002 -0.855 -1.209  1.018  0.569 -1.099 0.99650 -0.641      Down
345  2002 -0.641 -0.855 -1.209  1.018  0.569 1.08180 -0.281      Down
346  2002 -0.281 -0.641 -0.855 -1.209  1.018 1.28660  0.233        Up
347  2002  0.233 -0.281 -0.641 -0.855 -1.209 1.27730 -2.480      Down
348  2002 -2.480  0.233 -0.281 -0.641 -0.855 1.32430  0.001        Up
349  2002  0.001 -2.480  0.233 -0.281 -0.641 1.46660  0.885        Up
350  2002  0.885  0.001 -2.480  0.233 -0.281 1.30010 -1.976      Down
351  2002 -1.976  0.885  0.001 -2.480  0.233 1.60150 -0.157      Down
352  2002 -0.157 -1.976  0.885  0.001 -2.480 1.34130  0.312        Up
353  2002  0.312 -0.157 -1.976  0.885  0.001 1.22620 -1.663      Down
354  2002 -1.663  0.312 -0.157 -1.976  0.885 1.21240  0.657        Up
355  2002  0.657 -1.663  0.312 -0.157 -1.976 1.79572 -1.049      Down
356  2002 -1.049  0.657 -1.663  0.312 -0.157 1.40550 -0.227      Down
357  2002 -0.227 -1.049  0.657 -1.663  0.312 1.54900  2.869        Up
358  2002  2.869 -0.227 -1.049  0.657 -1.663 1.23660  0.094        Up
359  2002  0.094  2.869 -0.227 -1.049  0.657 1.19310 -1.654      Down
360  2002 -1.654  0.094  2.869 -0.227 -1.049 1.33610 -1.343      Down
361  2002 -1.343 -1.654  0.094  2.869 -0.227 1.38970 -1.704      Down
362  2002 -1.704 -1.343 -1.654  0.094  2.869 1.49720  0.362        Up
363  2002  0.362 -1.704 -1.343 -1.654  0.094 1.55260 -1.670      Down
364  2002 -1.670  0.362 -1.704 -1.343 -1.654 1.51370 -0.267      Down
365  2002 -0.267 -1.670  0.362 -1.704 -1.343 2.01429  1.758        Up
366  2002  1.758 -0.267 -1.670  0.362 -1.704 1.90860 -0.083      Down
367  2002 -0.083  1.758 -0.267 -1.670  0.362 2.11700 -2.139      Down
368  2002 -2.139 -0.083  1.758 -0.267 -1.670 1.42550 -2.123      Down
369  2002 -2.123 -2.139 -0.083  1.758 -0.267 1.82300  0.622        Up
370  2002  0.622 -2.123 -2.139 -0.083  1.758 1.52780  3.673        Up
371  2002  3.673  0.622 -2.123 -2.139 -0.083 0.69940 -1.218      Down
372  2002 -1.218  3.673  0.622 -2.123 -2.139 1.18440 -2.472      Down
373  2002 -2.472 -1.218  3.673  0.622 -2.123 1.34890 -3.396      Down
374  2002 -3.396 -2.472 -1.218  3.673  0.622 1.81690  0.750        Up
375  2002  0.750 -3.396 -2.472 -1.218  3.673 2.08048 -0.645      Down
376  2002 -0.645  0.750 -3.396 -2.472 -1.218 1.60740 -0.376      Down
377  2002 -0.376 -0.645  0.750 -3.396 -2.472 2.57480 -1.851      Down
378  2002 -1.851 -0.376 -0.645  0.750 -3.396 1.84370  0.566        Up
379  2002  0.566 -1.851 -0.376 -0.645  0.750 2.56650 -2.702      Down
380  2002 -2.702  0.566 -1.851 -0.376 -0.645 1.73630 -3.835      Down
381  2002 -3.835 -2.702  0.566 -1.851 -0.376 2.65410 -3.291      Down
382  2002 -3.291 -3.835 -2.702  0.566 -1.851 2.24806 -2.702      Down
383  2002 -2.702 -3.291 -3.835 -2.702  0.566 2.44102  5.733        Up
384  2002  5.733 -2.702 -3.291 -3.835 -2.702 2.77556 -0.563      Down
385  2002 -0.563  5.733 -2.702 -3.291 -3.835 2.42470  1.688        Up
386  2002  1.688 -0.563  5.733 -2.702 -3.291 1.79610  5.408        Up
387  2002  5.408  1.688 -0.563  5.733 -2.702 1.77865  0.425        Up
388  2002  0.425  5.408  1.688 -0.563  5.733 1.82609  0.979        Up
389  2002  0.979  0.425  5.408  1.688 -0.563 2.04936 -2.957      Down
390  2002 -2.957  0.979  0.425  5.408  1.688 1.67220 -2.308      Down
391  2002 -2.308 -2.957  0.979  0.425  5.408 1.53810 -3.430      Down
392  2002 -3.430 -2.308 -2.957  0.979  0.425 1.42550  2.992        Up
393  2002  2.992 -3.430 -2.308 -2.957  0.979 1.51410  2.001        Up
394  2002  2.001  2.992 -3.430 -2.308 -2.957 1.49040  3.272        Up
395  2002  3.272  2.001  2.992 -3.430 -2.308 1.64670  0.351        Up
396  2002  0.351  3.272  2.001  2.992 -3.430 1.29490 -0.533      Down
397  2002 -0.533  0.351  3.272  2.001  2.992 1.03650 -2.168      Down
398  2002 -2.168 -0.533  0.351  3.272  2.001 1.29770  4.005        Up
399  2002  4.005 -2.168 -0.533  0.351  3.272 1.53380  1.156        Up
400  2002  1.156  4.005 -2.168 -0.533  0.351 1.50510 -0.159      Down
401  2002 -0.159  1.156  4.005 -2.168 -0.533 1.26530  2.361        Up
402  2002  2.361 -0.159  1.156  4.005 -2.168 1.29980 -1.396      Down
403  2002 -1.396  2.361 -0.159  1.156  4.005 1.30850  1.273        Up
404  2002  1.273 -1.396  2.361 -0.159  1.156 1.35310  1.405        Up
405  2002  1.405  1.273 -1.396  2.361 -0.159 1.37300 -2.269      Down
406  2002 -2.269  1.405  1.273 -1.396  2.361 1.07150  0.754        Up
407  2002  0.754 -2.269  1.405  1.273 -1.396 1.01690 -1.385      Down
408  2002 -1.385  0.754 -2.269  1.405  1.273 1.30770 -1.813      Down
409  2002 -1.813 -1.385  0.754 -2.269  1.405 1.14660 -0.008      Down
410  2002 -0.008 -1.813 -1.385  0.754 -2.269 1.27110 -0.188      Down
411  2002 -0.188 -0.008 -1.813 -1.385  0.754 0.92990 -4.154      Down
412  2002 -4.154 -0.188 -0.008 -1.813 -1.385 1.28980  1.752        Up
413  2002  1.752 -4.154 -0.188 -0.008 -1.813 1.37210 -1.595      Down
414  2002 -1.595  1.752 -4.154 -0.188 -0.008 1.40130  1.680        Up
415  2002  1.680 -1.595  1.752 -4.154 -0.188 1.18450  1.011        Up
416  2002  1.011  1.680 -1.595  1.752 -4.154 1.13060  0.733        Up
417  2002  0.733  1.011  1.680 -1.595  1.752 1.18640 -0.014      Down
418  2002 -0.014  0.733  1.011  1.680 -1.595 0.84660 -2.478      Down
419  2002 -2.478 -0.014  0.733  1.011  1.680 1.19160  0.327        Up
420  2002  0.327 -2.478 -0.014  0.733  1.011 1.27100  0.145        Up
421  2002  0.145  0.327 -2.478 -0.014  0.733 1.00140 -1.973      Down
422  2002 -1.973  0.145  0.327 -2.478 -0.014 1.44860 -0.465      Down
423  2002 -0.465 -1.973  0.145  0.327 -2.478 1.50100 -3.006      Down
424  2002 -3.006 -0.465 -1.973  0.145  0.327 1.52400  0.245        Up
425  2002  0.245 -3.006 -0.465 -1.973  0.145 1.79280 -1.383      Down
426  2002 -1.383  0.245 -3.006 -0.465 -1.973 1.38110 -1.728      Down
427  2002 -1.728 -1.383  0.245 -3.006 -0.465 1.67024  2.486        Up
428  2002  2.486 -1.728 -1.383  0.245 -3.006 1.65150  1.821        Up
429  2002  1.821  2.486 -1.728 -1.383  0.245 1.65000 -3.226      Down
430  2002 -3.226  1.821  2.486 -1.728 -1.383 1.50730 -1.461      Down
431  2002 -1.461 -3.226  1.821  2.486 -1.728 1.72187  4.002        Up
432  2002  4.002 -1.461 -3.226  1.821  2.486 1.78090 -2.359      Down
433  2002 -2.359  4.002 -1.461 -3.226  1.821 1.66890 -1.082      Down
434  2002 -1.082 -2.359  4.002 -1.461 -3.226 1.67450 -2.243      Down
435  2002 -2.243 -1.082 -2.359  4.002 -1.461 1.83593 -1.911      Down
436  2002 -1.911 -2.243 -1.082 -2.359  4.002 1.57650  1.690        Up
437  2002  1.690 -1.911 -2.243 -1.082 -2.359 1.93843 -2.729      Down
438  2002 -2.729  1.690 -1.911 -2.243 -1.082 1.88503  3.497        Up
439  2002  3.497 -2.729  1.690 -1.911 -2.243 2.09023  3.906        Up
440  2002  3.906  3.497 -2.729  1.690 -1.911 1.85413  0.733        Up
441  2002  0.733  3.906  3.497 -2.729  1.690 1.20030  4.734        Up
442  2002  4.734  0.733  3.906  3.497 -2.729 1.95600 -2.411      Down
443  2002 -2.411  4.734  0.733  3.906  3.497 1.58500  2.230        Up
444  2002  2.230 -2.411  4.734  0.733  3.906 1.78039  0.590        Up
445  2002  0.590  2.230 -2.411  4.734  0.733 1.42310  1.733        Up
446  2002  1.733  0.590  2.230 -2.411  4.734 1.44700 -1.063      Down
447  2002 -1.063  1.733  0.590  2.230 -2.411 1.54920  0.672        Up
448  2002  0.672 -1.063  1.733  0.590  2.230 1.59390 -1.522      Down
449  2002 -1.522  0.672 -1.063  1.733  0.590 1.70057  1.717        Up
450  2002  1.717 -1.522  0.672 -1.063  1.733 1.34040 -0.827      Down
451  2002 -0.827  1.717 -1.522  0.672 -1.063 1.38260 -0.908      Down
452  2002 -0.908 -0.827  1.717 -1.522  0.672 1.52970  0.970        Up
453  2002  0.970 -0.908 -0.827  1.717 -1.522 1.42230 -0.556      Down
454  2002 -0.556  0.970 -0.908 -0.827  1.717 1.64130  1.716        Up
455  2002  1.716 -0.556  0.970 -0.908 -0.827 1.45040  0.820        Up
456  2002  0.820  1.716 -0.556  0.970 -0.908 1.64590  0.775        Up
457  2002  0.775  0.820  1.716 -0.556  0.970 1.35410  0.914        Up
458  2002  0.914  0.775  0.820  1.716 -0.556 1.67400 -2.285      Down
459  2002 -2.285  0.914  0.775  0.820  1.716 1.46690 -0.876      Down
460  2002 -0.876 -2.285  0.914  0.775  0.820 1.44650 -2.073      Down
461  2002 -2.073 -0.876 -2.285  0.914  0.775 1.11300  0.772        Up
462  2002  0.772 -2.073 -0.876 -2.285  0.914 1.37710 -0.048      Down
463  2002 -0.048  0.772 -2.073 -0.876 -2.285 1.46340  2.463        Up
464  2002  2.463 -0.048  0.772 -2.073 -0.876 1.51900  0.615        Up
465  2002  0.615  2.463 -0.048  0.772 -2.073 1.40010 -1.041      Down
466  2002 -1.041  0.615  2.463 -0.048  0.772 1.28260 -0.402      Down
467  2002 -0.402 -1.041  0.615  2.463 -0.048 1.33740  1.941        Up
468  2002  1.941 -0.402 -1.041  0.615  2.463 1.51730  2.145        Up
469  2002  2.145  1.941 -0.402 -1.041  0.615 2.41510 -0.344      Down
470  2002 -0.344  2.145  1.941 -0.402 -1.041 1.62680  0.249        Up
471  2002  0.249 -0.344  2.145  1.941 -0.402 1.57400 -2.097      Down
472  2002 -2.097  0.249 -0.344  2.145  1.941 1.54360  2.799        Up
473  2002  2.799 -2.097  0.249 -0.344  2.145 1.35030 -0.273      Down
474  2002 -0.273  2.799 -2.097  0.249 -0.344 0.64346 -0.190      Down
475  2002 -0.190 -0.273  2.799 -2.097  0.249 1.61200 -1.475      Down
476  2002 -1.475 -0.190 -0.273  2.799 -2.097 1.48840 -0.344      Down
477  2002 -0.344 -1.475 -0.190 -0.273  2.799 1.58890 -1.202      Down
478  2002 -1.202 -0.344 -1.475 -0.190 -0.273 1.25020  0.627        Up
479  2002  0.627 -1.202 -0.344 -1.475 -0.190 1.24110 -2.218      Down
480  2002 -2.218  0.627 -1.202 -0.344 -1.475 1.32080  1.396        Up
481  2002  1.396 -2.218  0.627 -1.202 -0.344 1.28660  0.056        Up
482  2002  0.056  1.396 -2.218  0.627 -1.202 1.28510 -0.373      Down
483  2002 -0.373  0.056  1.396 -2.218  0.627 1.25530 -1.342      Down
484  2002 -1.342 -0.373  0.056  1.396 -2.218 1.33080  2.352        Up
485  2002  2.352 -1.342 -0.373  0.056  1.396 1.27160 -0.814      Down
486  2002 -0.814  2.352 -1.342 -0.373  0.056 1.25180 -1.315      Down
487  2002 -1.315 -0.814  2.352 -1.342 -0.373 1.44620 -0.771      Down
488  2002 -0.771 -1.315 -0.814  2.352 -1.342 1.38590  1.302        Up
489  2002  1.302 -0.771 -1.315 -0.814  2.352 1.78273  0.181        Up
490  2002  0.181  1.302 -0.771 -1.315 -0.814 1.11210 -0.547      Down
491  2002 -0.547  0.181  1.302 -0.771 -1.315 0.45831 -0.315      Down
492  2002 -0.315 -0.547  0.181  1.302 -0.771 0.72110 -1.603      Down
493  2002 -1.603 -0.315 -0.547  0.181  1.302 0.75840  0.456        Up
494  2002  0.456 -1.603 -0.315 -0.547  0.181 1.05780  0.049        Up
495  2003  0.049  0.456 -1.603 -0.315 -0.547 1.08850  3.320        Up
496  2003  3.320  0.049  0.456 -1.603 -0.315 1.22920 -0.048      Down
497  2003 -0.048  3.320  0.049  0.456 -1.603 1.13080  2.247        Up
498  2003  2.247 -0.048  3.320  0.049  0.456 1.43590 -0.654      Down
499  2003 -0.654  2.247 -0.048  3.320  0.049 1.54520 -1.409      Down
500  2003 -1.409 -0.654  2.247 -0.048  3.320 1.46760  1.939        Up
501  2003  1.939 -1.409 -0.654  2.247 -0.048 1.56030  0.000        Up
502  2003  0.000  1.939 -1.409 -0.654  2.247 1.48540 -0.141      Down
503  2003 -0.141  0.000  1.939 -1.409 -0.654 1.39630  0.583        Up
504  2003  0.583 -0.141  0.000  1.939 -1.409 1.37940 -1.443      Down
505  2003 -1.443  0.583 -0.141  0.000  1.939 1.43210 -0.394      Down
506  2003 -0.394 -1.443  0.583 -0.141  0.000 1.53460 -1.402      Down
507  2003 -1.402 -0.394 -1.443  0.583 -0.141 1.35820 -1.570      Down
508  2003 -1.570 -1.402 -0.394 -1.443  0.583 1.33520 -1.043      Down
509  2003 -1.043 -1.570 -1.402 -0.394 -1.443 1.56080  1.022        Up
510  2003  1.022 -1.043 -1.570 -1.402 -0.394 1.74455 -2.923      Down
511  2003 -2.923  1.022 -1.043 -1.570 -1.402 1.57480 -1.616      Down
512  2003 -1.616 -2.923  1.022 -1.043 -1.570 1.43590  1.305        Up
513  2003  1.305 -1.616 -2.923  1.022 -1.043 1.45910  0.678        Up
514  2003  0.678  1.305 -1.616 -2.923  1.022 1.59540 -2.285      Down
515  2003 -2.285  0.678  1.305 -1.616 -2.923 1.51030  1.313        Up
516  2003  1.313 -2.285  0.678  1.305 -1.616 1.57853  0.540        Up
517  2003  0.540  1.313 -2.285  0.678  1.305 1.25850 -1.409      Down
518  2003 -1.409  0.540  1.313 -2.285  0.678 1.45160 -0.544      Down
519  2003 -0.544 -1.409  0.540  1.313 -2.285 1.45080 -0.645      Down
520  2003 -0.645 -0.544 -1.409  0.540  1.313 1.43090 -1.009      Down
521  2003 -1.009 -0.645 -0.544 -1.409  0.540 1.27680  0.757        Up
522  2003  0.757 -1.009 -0.645 -0.544 -1.409 1.23820 -0.810      Down
523  2003 -0.810  0.757 -1.009 -0.645 -0.544 1.30700 -1.269      Down
524  2003 -1.269 -0.810  0.757 -1.009 -0.645 1.26050 -0.160      Down
525  2003 -0.160 -1.269 -0.810  0.757 -1.009 1.48930  2.143        Up
526  2003  2.143 -0.160 -1.269 -0.810  0.757 1.40460  1.950        Up
527  2003  1.950  2.143 -0.160 -1.269 -0.810 1.25080 -0.710      Down
528  2003 -0.710  1.950  2.143 -0.160 -1.269 1.07560 -0.950      Down
529  2003 -0.950 -0.710  1.950  2.143 -0.160 1.19410  1.322        Up
530  2003  1.322 -0.950 -0.710  1.950  2.143 1.39820 -1.838      Down
531  2003 -1.838  1.322 -0.950 -0.710  1.950 1.22920  0.719        Up
532  2003  0.719 -1.838  1.322 -0.950 -0.710 1.48370 -1.314      Down
533  2003 -1.314  0.719 -1.838  1.322 -0.950 1.37440  1.176        Up
534  2003  1.176 -1.314  0.719 -1.838  1.322 1.28780  0.462        Up
535  2003  0.462  1.176 -1.314  0.719 -1.838 1.37330 -0.754      Down
536  2003 -0.754  0.462  1.176 -1.314  0.719 1.20890 -1.536      Down
537  2003 -1.536 -0.754  0.462  1.176 -1.314 1.25660  0.956        Up
538  2003  0.956 -1.536 -0.754  0.462  1.176 1.33270 -0.934      Down
539  2003 -0.934  0.956 -1.536 -0.754  0.462 1.29920  0.826        Up
540  2003  0.826 -0.934  0.956 -1.536 -0.754 1.36850 -2.583      Down
541  2003 -2.583  0.826 -0.934  0.956 -1.536 1.25500 -0.836      Down
542  2003 -0.836 -2.583  0.826 -0.934  0.956 1.42770  0.432        Up
543  2003  0.432 -0.836 -2.583  0.826 -0.934 1.62000  3.446        Up
544  2003  3.446  0.432 -0.836 -2.583  0.826 1.81630  0.165        Up
545  2003  0.165  3.446  0.432 -0.836 -2.583 1.54190  3.543        Up
546  2003  3.543  0.165  3.446  0.432 -0.836 1.70042  0.424        Up
547  2003  0.424  3.543  0.165  3.446  0.432 1.55510  0.874        Up
548  2003  0.874  0.424  3.543  0.165  3.446 1.47340  0.189        Up
549  2003  0.189  0.874  0.424  3.543  0.165 1.43910  2.298        Up
550  2003  2.298  0.189  0.874  0.424  3.543 1.88371 -3.523      Down
551  2003 -3.523  2.298  0.189  0.874  0.424 1.29300  1.216        Up
552  2003  1.216 -3.523  2.298  0.189  0.874 1.33340 -0.548      Down
553  2003 -0.548  1.216 -3.523  2.298  0.189 1.31970 -0.164      Down
554  2003 -0.164 -0.548  1.216 -3.523  2.298 1.23290 -0.578      Down
555  2003 -0.578 -0.164 -0.548  1.216 -3.523 1.22700 -1.774      Down
556  2003 -1.774 -0.578 -0.164 -0.548  1.216 1.49550  1.214        Up
557  2003  1.214 -1.774 -0.578 -0.164 -0.548 1.46160  2.612        Up
558  2003  2.612  1.214 -1.774 -0.578 -0.164 1.58980 -0.505      Down
559  2003 -0.505  2.612  1.214 -1.774 -0.578 1.33950  0.274        Up
560  2003  0.274 -0.505  2.612  1.214 -1.774 1.24120  0.123        Up
561  2003  0.123  0.274 -0.505  2.612  1.214 1.49400 -0.186      Down
562  2003 -0.186  0.123  0.274 -0.505  2.612 1.23540 -1.400      Down
563  2003 -1.400 -0.186  0.123  0.274 -0.505 1.29370  0.646        Up
564  2003  0.646 -1.400 -0.186  0.123  0.274 1.27530 -0.376      Down
565  2003 -0.376  0.646 -1.400 -0.186  0.123 1.14160  1.950        Up
566  2003  1.950 -0.376  0.646 -1.400 -0.186 1.13100  0.630        Up
567  2003  0.630  1.950 -0.376  0.646 -1.400 1.46020 -1.224      Down
568  2003 -1.224  0.630  1.950 -0.376  0.646 1.58760  1.554        Up
569  2003  1.554 -1.224  0.630  1.950 -0.376 1.43060 -0.176      Down
570  2003 -0.176  1.554 -1.224  0.630  1.950 1.11870  2.170        Up
571  2003  2.170 -0.176  1.554 -1.224  0.630 1.63120  0.839        Up
572  2003  0.839  2.170 -0.176  1.554 -1.224 1.66720 -0.826      Down
573  2003 -0.826  0.839  2.170 -0.176  1.554 1.64810 -1.385      Down
574  2003 -1.385 -0.826  0.839  2.170 -0.176 1.33580  1.783        Up
575  2003  1.783 -1.385 -0.826  0.839  2.170 1.27300  0.328        Up
576  2003  0.328  1.783 -1.385 -0.826  0.839 1.52560 -0.100      Down
577  2003 -0.100  0.328  1.783 -1.385 -0.826 1.78851 -0.068      Down
578  2003 -0.068 -0.100  0.328  1.783 -1.385 1.39750  1.504        Up
579  2003  1.504 -0.068 -0.100  0.328  1.783 1.55430 -0.380      Down
580  2003 -0.380  1.504 -0.068 -0.100  0.328 1.44630  0.846        Up
581  2003  0.846 -0.380  1.504 -0.068 -0.100 1.64960 -0.510      Down
582  2003 -0.510  0.846 -0.380  1.504 -0.068 1.53190 -1.006      Down
583  2003 -1.006 -0.510  0.846 -0.380  1.504 1.37960  1.428        Up
584  2003  1.428 -1.006 -0.510  0.846 -0.380 1.32610  1.253        Up
585  2003  1.253  1.428 -1.006 -0.510  0.846 1.37880 -0.297      Down
586  2003 -0.297  1.253  1.428 -1.006 -0.510 1.41810 -0.320      Down
587  2003 -0.320 -0.297  1.253  1.428 -1.006 1.40180  0.787        Up
588  2003  0.787 -0.320 -0.297  1.253  1.428 1.50870 -0.250      Down
589  2003 -0.250  0.787 -0.320 -0.297  1.253 1.50550 -2.492      Down
590  2003 -2.492 -0.250  0.787 -0.320 -0.297 1.37570 -0.113      Down
591  2003 -0.113 -2.492 -0.250  0.787 -0.320 1.50530  0.401        Up
592  2003  0.401 -0.113 -2.492 -0.250  0.787 1.45780  0.915        Up
593  2003  0.915  0.401 -0.113 -2.492 -0.250 1.44850  0.145        Up
594  2003  0.145  0.915  0.401 -0.113 -2.492 1.20100  1.957        Up
595  2003  1.957  0.145  0.915  0.401 -0.113 1.53200  0.183        Up
596  2003  0.183  1.957  0.145  0.915  0.401 1.55900 -0.376      Down
597  2003 -0.376  0.183  1.957  0.145  0.915 1.68580  1.469        Up
598  2003  1.469 -0.376  0.183  1.957  0.145 1.68880  0.354        Up
599  2003  0.354  1.469 -0.376  0.183  1.957 1.66250  0.472        Up
600  2003  0.472  0.354  1.469 -0.376  0.183 1.45020  1.511        Up
601  2003  1.511  0.472  0.354  1.469 -0.376 1.61870  0.395        Up
602  2003  0.395  1.511  0.472  0.354  1.469 1.69310 -0.240      Down
603  2003 -0.240  0.395  1.511  0.472  0.354 1.83720 -1.198      Down
604  2003 -1.198 -0.240  0.395  1.511  0.472 1.30700  0.913        Up
605  2003  0.913 -1.198 -0.240  0.395  1.511 1.27540  1.283        Up
606  2003  1.283  0.913 -1.198 -0.240  0.395 1.52000  0.103        Up
607  2003  0.103  1.283  0.913 -1.198 -0.240 1.55310 -0.991      Down
608  2003 -0.991  0.103  1.283  0.913 -1.198 1.27160  2.238        Up
609  2003  2.238 -0.991  0.103  1.283  0.913 1.34590  0.091        Up
610  2003  0.091  2.238 -0.991  0.103  1.283 1.47970 -0.155      Down
611  2003 -0.155  0.091  2.238 -0.991  0.103 1.48890 -1.524      Down
612  2003 -1.524 -0.155  0.091  2.238 -0.991 1.53010  0.100        Up
613  2003  0.100 -1.524 -0.155  0.091  2.238 1.69800 -1.411      Down
614  2003 -1.411  0.100 -1.524 -0.155  0.091 1.39810  0.184        Up
615  2003  0.184 -1.411  0.100 -1.524 -0.155 1.38830 -0.827      Down
616  2003 -0.827  0.184 -1.411  0.100 -1.524 1.45920  1.077        Up
617  2003  1.077 -0.827  0.184 -1.411  0.100 1.38740 -0.974      Down
618  2003 -0.974  1.077 -0.827  0.184 -1.411 1.26780 -0.176      Down
619  2003 -0.176 -0.974  1.077 -0.827  0.184 1.58720  0.802        Up
620  2003  0.802 -0.176 -0.974  1.077 -0.827 1.46020  1.164        Up
621  2003  1.164  0.802 -0.176 -0.974  1.077 1.51930 -0.810      Down
622  2003 -0.810  1.164  0.802 -0.176 -0.974 0.77590  1.899        Up
623  2003  1.899 -0.810  1.164  0.802 -0.176 1.42910  0.340        Up
624  2003  0.340  1.899 -0.810  1.164  0.802 1.56570 -0.559      Down
625  2003 -0.559  0.340  1.899 -0.810  1.164 1.61800 -1.348      Down
626  2003 -1.348 -0.559  0.340  1.899 -0.810 1.46570  0.955        Up
627  2003  0.955 -1.348 -0.559  0.340  1.899 1.21270  0.573        Up
628  2003  0.573  0.955 -1.348 -0.559  0.340 1.44890 -0.343      Down
629  2003 -0.343  0.573  0.955 -1.348 -0.559 1.51860 -0.633      Down
630  2003 -0.633 -0.343  0.573  0.955 -1.348 1.66200 -1.243      Down
631  2003 -1.243 -0.633 -0.343  0.573  0.955 1.66140  1.181        Up
632  2003  1.181 -1.243 -0.633 -0.343  0.573 1.36520 -1.462      Down
633  2003 -1.462  1.181 -1.243 -0.633 -0.343 1.25420  0.951        Up
634  2003  0.951 -1.462  1.181 -1.243 -0.633 1.43970  0.051        Up
635  2003  0.051  0.951 -1.462  1.181 -1.243 1.36270 -0.709      Down
636  2003 -0.709  0.051  0.951 -1.462  1.181 1.55900  1.740        Up
637  2003  1.740 -0.709  0.051  0.951 -1.462 1.39750 -0.216      Down
638  2003 -0.216  1.740 -0.709  0.051  0.951 1.32860 -0.727      Down
639  2003 -0.727 -0.216  1.740 -0.709  0.051 1.50890 -0.181      Down
640  2003 -0.181 -0.727 -0.216  1.740 -0.709 1.39190  0.286        Up
641  2003  0.286 -0.181 -0.727 -0.216  1.740 1.60800 -1.026      Down
642  2003 -1.026  0.286 -0.181 -0.727 -0.216 1.39060  0.272        Up
643  2003  0.272 -1.026  0.286 -0.181 -0.727 1.31870 -1.766      Down
644  2003 -1.766  0.272 -1.026  0.286 -0.181 1.35170  0.168        Up
645  2003  0.168 -1.766  0.272 -1.026  0.286 1.49100  0.728        Up
646  2003  0.728  0.168 -1.766  0.272 -1.026 1.38930  0.356        Up
647  2003  0.356  0.728  0.168 -1.766  0.272 1.08660  0.307        Up
648  2003  0.307  0.356  0.728  0.168 -1.766 1.02220  0.995        Up
649  2003  0.995  0.307  0.356  0.728  0.168 1.13230 -0.638      Down
650  2003 -0.638  0.995  0.307  0.356  0.728 1.20880  0.659        Up
651  2003  0.659 -0.638  0.995  0.307  0.356 1.18680  0.016        Up
652  2003  0.016  0.659 -0.638  0.995  0.307 0.63637  0.916        Up
653  2003  0.916  0.016  0.659 -0.638  0.995 1.12760  0.261        Up
654  2003  0.261  0.916  0.016  0.659 -0.638 1.30060 -0.205      Down
655  2003 -0.205  0.261  0.916  0.016  0.659 1.21080  0.297        Up
656  2003  0.297 -0.205  0.261  0.916  0.016 1.40710 -1.018      Down
657  2003 -1.018  0.297 -0.205  0.261  0.916 1.30890  0.065        Up
658  2003  0.065 -1.018  0.297 -0.205  0.261 0.97170  0.304        Up
659  2003  0.304  0.065 -1.018  0.297 -0.205 1.17870  0.006        Up
660  2003  0.006  0.304  0.065 -1.018  0.297 1.05140  0.607        Up
661  2003  0.607  0.006  0.304  0.065 -1.018 1.16520  0.516        Up
662  2003  0.516  0.607  0.006  0.304  0.065 0.94510  1.387        Up
663  2003  1.387  0.516  0.607  0.006  0.304 1.47050  0.419        Up
664  2003  0.419  1.387  0.516  0.607  0.006 1.67560  0.166        Up
665  2003  0.166  0.419  1.387  0.516  0.607 1.45390 -0.640      Down
666  2003 -0.640  0.166  0.419  1.387  0.516 1.46520  1.004        Up
667  2003  1.004 -0.640  0.166  0.419  1.387 1.29930 -0.821      Down
668  2003 -0.821  1.004 -0.640  0.166  0.419 1.41480 -1.197      Down
669  2003 -1.197 -0.821  1.004 -0.640  0.166 1.58210  0.544        Up
670  2003  0.544 -1.197 -0.821  1.004 -0.640 1.33590  0.217        Up
671  2003  0.217  0.544 -1.197 -0.821  1.004 1.23670 -0.375      Down
672  2003 -0.375  0.217  0.544 -1.197 -0.821 1.15130  1.430        Up
673  2003  1.430 -0.375  0.217  0.544 -1.197 1.40320 -0.325      Down
674  2003 -0.325  1.430 -0.375  0.217  0.544 1.33821  1.327        Up
675  2003  1.327 -0.325  1.430 -0.375  0.217 1.49880 -0.316      Down
676  2003 -0.316  1.327 -0.325  1.430 -0.375 1.51860 -1.301      Down
677  2003 -1.301 -0.316  1.327 -0.325  1.430 1.27880  0.607        Up
678  2003  0.607 -1.301 -0.316  1.327 -0.325 1.30170 -1.910      Down
679  2003 -1.910  0.607 -1.301 -0.316  1.327 1.55600 -0.605      Down
680  2003 -0.605 -1.910  0.607 -1.301 -0.316 1.53000 -0.640      Down
681  2003 -0.640 -0.605 -1.910  0.607 -1.301 1.47250  0.976        Up
682  2003  0.976 -0.640 -0.605 -1.910  0.607 1.36650 -1.054      Down
683  2003 -1.054  0.976 -0.640 -0.605 -1.910 1.59050  2.234        Up
684  2003  2.234 -1.054  0.976 -0.640 -0.605 1.56630  0.198        Up
685  2003  0.198  2.234 -1.054  0.976 -0.640 1.26930  0.942        Up
686  2003  0.942  0.198  2.234 -1.054  0.976 1.57050  0.437        Up
687  2003  0.437  0.942  0.198  2.234 -1.054 1.02580  0.474        Up
688  2003  0.474  0.437  0.942  0.198  2.234 1.27950 -0.526      Down
689  2003 -0.526  0.474  0.437  0.942  0.198 1.26250  0.479        Up
690  2003  0.479 -0.526  0.474  0.437  0.942 1.57870 -0.065      Down
691  2003 -0.065  0.479 -0.526  0.474  0.437 1.10810  0.702        Up
692  2003  0.702 -0.065  0.479 -0.526  0.474 1.04050  0.395        Up
693  2003  0.395  0.702 -0.065  0.479 -0.526 1.27190 -0.259      Down
694  2003 -0.259  0.395  0.702 -0.065  0.479 1.52110  0.316        Up
695  2003  0.316 -0.259  0.395  0.702 -0.065 1.41770 -1.024      Down
696  2003 -1.024  0.316 -0.259  0.395  0.702 1.35200  0.516        Up
697  2003  0.516 -1.024  0.316 -0.259  0.395 1.17260  0.129        Up
698  2003  0.129  0.516 -1.024  0.316 -0.259 1.49800 -1.498      Down
699  2003 -1.498  0.129  0.516 -1.024  0.316 1.64720  0.331        Up
700  2003  0.331 -1.498  0.129  0.516 -1.024 1.60430 -0.470      Down
701  2003 -0.470  0.331 -1.498  0.129  0.516 1.42030  0.216        Up
702  2003  0.216 -0.470  0.331 -1.498  0.129 1.37180  1.519        Up
703  2003  1.519  0.216 -0.470  0.331 -1.498 1.62920  0.126        Up
704  2003  0.126  1.519  0.216 -0.470  0.331 1.56260 -0.112      Down
705  2003 -0.112  0.126  1.519  0.216 -0.470 1.62970  0.360        Up
706  2003  0.360 -0.112  0.126  1.519  0.216 1.49890  0.791        Up
707  2003  0.791  0.360 -0.112  0.126  1.519 1.37820 -0.545      Down
708  2003 -0.545  0.791  0.360 -0.112  0.126 1.41760 -0.137      Down
709  2003 -0.137 -0.545  0.791  0.360 -0.112 1.40180  0.593        Up
710  2003  0.593 -0.137 -0.545  0.791  0.360 1.45390 -0.457      Down
711  2003 -0.457  0.593 -0.137 -0.545  0.791 1.44050 -0.579      Down
712  2003 -0.579 -0.457  0.593 -0.137 -0.545 1.24360 -0.052      Down
713  2003 -0.052 -0.579 -0.457  0.593 -0.137 1.16250  1.143        Up
714  2003  1.143 -0.052 -0.579 -0.457  0.593 1.34930 -0.011      Down
715  2003 -0.011  1.143 -0.052 -0.579 -0.457 1.38300 -0.762      Down
716  2003 -0.762 -0.011  1.143 -0.052 -0.579 1.35610 -0.640      Down
717  2003 -0.640 -0.762 -0.011  1.143 -0.052 1.37430 -0.908      Down
718  2003 -0.908 -0.640 -0.762 -0.011  1.143 1.35430  0.802        Up
719  2003  0.802 -0.908 -0.640 -0.762 -0.011 1.32620 -0.843      Down
720  2003 -0.843  0.802 -0.908 -0.640 -0.762 1.32670  0.158        Up
721  2003  0.158 -0.843  0.802 -0.908 -0.640 1.27380  1.623        Up
722  2003  1.623  0.158 -0.843  0.802 -0.908 1.30280  0.172        Up
723  2003  0.172  1.623  0.158 -0.843  0.802 1.33370  0.433        Up
724  2003  0.433  0.172  1.623  0.158 -0.843 1.09770 -0.024      Down
725  2003 -0.024  0.433  0.172  1.623  0.158 0.48722  1.126        Up
726  2003  1.126 -0.024  0.433  0.172  1.623 1.37500 -0.327      Down
727  2003 -0.327  1.126 -0.024  0.433  0.172 1.38320 -0.177      Down
728  2003 -0.177 -0.327  1.126 -0.024  0.433 1.44170  0.469        Up
729  2003  0.469 -0.177 -0.327  1.126 -0.024 1.46310 -0.768      Down
730  2003 -0.768  0.469 -0.177 -0.327  1.126 1.26590  0.735        Up
731  2003  0.735 -0.768  0.469 -0.177 -0.327 1.21890 -0.853      Down
732  2003 -0.853  0.735 -0.768  0.469 -0.177 1.46550 -0.107      Down
733  2003 -0.107 -0.853  0.735 -0.768  0.469 1.44400  1.148        Up
734  2003  1.148 -0.107 -0.853  0.735 -0.768 1.44110  0.274        Up
735  2003  0.274  1.148 -0.107 -0.853  0.735 1.22310 -0.568      Down
736  2003 -0.568  0.274  1.148 -0.107 -0.853 1.52080  0.664        Up
737  2003  0.664 -0.568  0.274  1.148 -0.107 1.54790  0.126        Up
738  2003  0.126  0.664 -0.568  0.274  1.148 1.44170  1.180        Up
739  2003  1.180  0.126  0.664 -0.568  0.274 1.57990 -0.048      Down
740  2003 -0.048  1.180  0.126  0.664 -0.568 1.65730  0.393        Up
741  2003  0.393 -0.048  1.180  0.126  0.664 1.25170  0.282        Up
742  2003  0.282  0.393 -0.048  1.180  0.126 1.14530 -0.181      Down
743  2003 -0.181  0.282  0.393 -0.048  1.180 0.51806  0.169        Up
744  2003  0.169 -0.181  0.282  0.393 -0.048 0.35607  1.240        Up
745  2003  1.240  0.169 -0.181  0.282  0.393 1.05880  0.014        Up
746  2003  0.014  1.240  0.169 -0.181  0.282 1.01260  0.205        Up
747  2004  0.205  0.014  1.240  0.169 -0.181 1.02750 -0.309      Down
748  2004 -0.309  0.205  0.014  1.240  0.169 1.15320  1.240        Up
749  2004  1.240 -0.309  0.205  0.014  1.240 1.57820  0.129        Up
750  2004  0.129  1.240 -0.309  0.205  0.014 1.49450  0.237        Up
751  2004  0.237  0.129  1.240 -0.309  0.205 1.70490  0.496        Up
752  2004  0.496  0.237  0.129  1.240 -0.309 1.86840 -0.889      Down
753  2004 -0.889  0.496  0.237  0.129  1.240 1.72070  0.479        Up
754  2004  0.479 -0.889  0.496  0.237  0.129 1.51020 -0.533      Down
755  2004 -0.533  0.479 -0.889  0.496  0.237 1.59590  0.829        Up
756  2004  0.829 -0.533  0.479 -0.889  0.496 1.51460  0.135        Up
757  2004  0.135  0.829 -0.533  0.479 -0.889 1.69500  0.687        Up
758  2004  0.687  0.135  0.829 -0.533  0.479 1.72110 -0.093      Down
759  2004 -0.093  0.687  0.135  0.829 -0.533 1.69820  0.777        Up
760  2004  0.777 -0.093  0.687  0.135  0.829 1.75760 -0.321      Down
761  2004 -0.321  0.777 -0.093  0.687  0.135 1.69370 -0.209      Down
762  2004 -0.209 -0.321  0.777 -0.093  0.687 1.56120  1.211        Up
763  2004  1.211 -0.209 -0.321  0.777 -0.093 1.48060 -0.980      Down
764  2004 -0.980  1.211 -0.209 -0.321  0.777 1.67310 -1.361      Down
765  2004 -1.361 -0.980  1.211 -0.209 -0.321 1.84200  0.499        Up
766  2004  0.499 -1.361 -0.980  1.211 -0.209 1.92190 -0.263      Down
767  2004 -0.263  0.499 -1.361 -0.980  1.211 1.63500  0.365        Up
768  2004  0.365 -0.263  0.499 -1.361 -0.980 1.59920  0.068        Up
769  2004  0.068  0.365 -0.263  0.499 -1.361 1.47690 -0.837      Down
770  2004 -0.837  0.068  0.365 -0.263  0.499 1.63480  0.184        Up
771  2004  0.184 -0.837  0.068  0.365 -0.263 1.56660  1.256        Up
772  2004  1.256  0.184 -0.837  0.068  0.365 1.47760 -0.258      Down
773  2004 -0.258  1.256  0.184 -0.837  0.068 1.30350  0.503        Up
774  2004  0.503 -0.258  1.256  0.184 -0.837 1.40390  1.067        Up
775  2004  1.067  0.503 -0.258  1.256  0.184 1.69930 -0.488      Down
776  2004 -0.488  1.067  0.503 -0.258  1.256 1.46430 -0.547      Down
777  2004 -0.547 -0.488  1.067  0.503 -0.258 1.32920  0.976        Up
778  2004  0.976 -0.547 -0.488  1.067  0.503 1.39650 -0.447      Down
779  2004 -0.447  0.976 -0.547 -0.488  1.067 1.38240 -0.413      Down
780  2004 -0.413 -0.447  0.976 -0.547 -0.488 1.56280 -0.257      Down
781  2004 -0.257 -0.413 -0.447  0.976 -0.547 1.47960 -0.273      Down
782  2004 -0.273 -0.257 -0.413 -0.447  0.976 1.38040 -0.167      Down
783  2004 -0.167 -0.273 -0.257 -0.413 -0.447 1.54360  0.402        Up
784  2004  0.402 -0.167 -0.273 -0.257 -0.413 1.36070  0.108        Up
785  2004  0.108  0.402 -0.167 -0.273 -0.257 1.38390  0.003        Up
786  2004  0.003  0.108  0.402 -0.167 -0.273 1.54040  0.963        Up
787  2004  0.963  0.003  0.108  0.402 -0.167 1.49710 -0.594      Down
788  2004 -0.594  0.963  0.003  0.108  0.402 1.47600  0.168        Up
789  2004  0.168 -0.594  0.963  0.003  0.108 1.33450  0.334        Up
790  2004  0.334  0.168 -0.594  0.963  0.003 1.26580  0.172        Up
791  2004  0.172  0.334  0.168 -0.594  0.963 1.39820 -0.835      Down
792  2004 -0.835  0.172  0.334  0.168 -0.594 1.25440 -0.577      Down
793  2004 -0.577 -0.835  0.172  0.334  0.168 1.49940 -1.463      Down
794  2004 -1.463 -0.577 -0.835  0.172  0.334 1.64840 -1.522      Down
795  2004 -1.522 -1.463 -0.577 -0.835  0.172 1.88990  1.246        Up
796  2004  1.246 -1.522 -1.463 -0.577 -0.835 1.38850 -1.435      Down
797  2004 -1.435  1.246 -1.522 -1.463 -0.577 1.60060  0.562        Up
798  2004  0.562 -1.435  1.246 -1.522 -1.463 1.50070  1.175        Up
799  2004  1.175  0.562 -1.435  1.246 -1.522 1.49010 -0.127      Down
800  2004 -0.127  1.175  0.562 -1.435  1.246 1.36920 -1.117      Down
801  2004 -1.117 -0.127  1.175  0.562 -1.435 1.45740 -1.296      Down
802  2004 -1.296 -1.117 -0.127  1.175  0.562 1.45230 -0.132      Down
803  2004 -0.132 -1.296 -1.117 -0.127  1.175 1.45820 -0.239      Down
804  2004 -0.239 -0.132 -1.296 -1.117 -0.127 1.52780  1.637        Up
805  2004  1.637 -0.239 -0.132 -1.296 -1.117 1.47170 -0.102      Down
806  2004 -0.102  1.637 -0.239 -0.132 -1.296 1.31910  1.300        Up
807  2004  1.300 -0.102  1.637 -0.239 -0.132 1.40550  0.404        Up
808  2004  0.404  1.300 -0.102  1.637 -0.239 1.33240 -0.070      Down
809  2004 -0.070  0.404  1.300 -0.102  1.637 1.56070  0.529        Up
810  2004  0.529 -0.070  0.404  1.300 -0.102 1.56070  0.851        Up
811  2004  0.851  0.529 -0.070  0.404  1.300 1.62920  0.767        Up
812  2004  0.767  0.851  0.529 -0.070  0.404 1.41370 -0.209      Down
813  2004 -0.209  0.767  0.851  0.529 -0.070 1.39770 -0.665      Down
814  2004 -0.665 -0.209  0.767  0.851  0.529 1.45880 -0.106      Down
815  2004 -0.106 -0.665 -0.209  0.767  0.851 1.19980  0.516        Up
816  2004  0.516 -0.106 -0.665 -0.209  0.767 1.10240 -1.376      Down
817  2004 -1.376  0.516 -0.106 -0.665 -0.209 1.42320 -0.112      Down
818  2004 -0.112 -1.376  0.516 -0.106 -0.665 1.54770  0.059        Up
819  2004  0.059 -0.112 -1.376  0.516 -0.106 1.56870  0.511        Up
820  2004  0.511  0.059 -0.112 -1.376  0.516 1.48780  0.107        Up
821  2004  0.107  0.511  0.059 -0.112 -1.376 1.19490 -1.556      Down
822  2004 -1.556  0.107  0.511  0.059 -0.112 1.50850  0.531        Up
823  2004  0.531 -1.556  0.107  0.511  0.059 1.73810  1.409        Up
824  2004  1.409  0.531 -1.556  0.107  0.511 1.82670  0.059        Up
825  2004  0.059  1.409  0.531 -1.556  0.107 1.39610 -0.445      Down
826  2004 -0.445  0.059  1.409  0.531 -1.556 1.29060  0.227        Up
827  2004  0.227 -0.445  0.059  1.409  0.531 1.51800 -1.379      Down
828  2004 -1.379  0.227 -0.445  0.059  1.409 1.85560 -0.759      Down
829  2004 -0.759 -1.379  0.227 -0.445  0.059 1.85900 -0.592      Down
830  2004 -0.592 -0.759 -1.379  0.227 -0.445 1.63470  0.920        Up
831  2004  0.920 -0.592 -0.759 -1.379  0.227 1.57160  0.184        Up
832  2004  0.184  0.920 -0.592 -0.759 -1.379 1.66210  0.177        Up
833  2004  0.177  0.184  0.920 -0.592 -0.759 1.46900 -0.672      Down
834  2004 -0.672  0.177  0.184  0.920 -0.592 1.50930 -1.373      Down
835  2004 -1.373 -0.672  0.177  0.184  0.920 1.65360 -1.054      Down
836  2004 -1.054 -1.373 -0.672  0.177  0.184 1.91840  0.766        Up
837  2004  0.766 -1.054 -1.373 -0.672  0.177 1.53380  0.167        Up
838  2004  0.167  0.766 -1.054 -1.373 -0.672 1.69760 -0.077      Down
839  2004 -0.077  0.167  0.766 -1.054 -1.373 1.41110 -0.067      Down
840  2004 -0.067 -0.077  0.167  0.766 -1.054 1.33590 -1.059      Down
841  2004 -1.059 -0.067 -0.077  0.167  0.766 1.43010  0.682        Up
842  2004  0.682 -1.059 -0.067 -0.077  0.167 1.35300 -0.257      Down
843  2004 -0.257  0.682 -1.059 -0.067 -0.077 1.54860  0.047        Up
844  2004  0.047 -0.257  0.682 -1.059 -0.067 1.21100  0.401        Up
845  2004  0.401  0.047 -0.257  0.682 -1.059 1.25860  0.169        Up
846  2004  0.169  0.401  0.047 -0.257  0.682 1.22750  1.610        Up
847  2004  1.610  0.169  0.401  0.047 -0.257 1.54570  0.170        Up
848  2004  0.170  1.610  0.169  0.401  0.047 1.36940  0.569        Up
849  2004  0.569  0.170  1.610  0.169  0.401 1.44750 -0.054      Down
850  2004 -0.054  0.569  0.170  1.610  0.169 1.17260  0.046        Up
851  2004  0.046 -0.054  0.569  0.170  1.610 1.23800  0.338        Up
852  2004  0.338  0.046 -0.054  0.569  0.170 1.25170 -0.742      Down
853  2004 -0.742  0.338  0.046 -0.054  0.569 1.23240  0.525        Up
854  2004  0.525 -0.742  0.338  0.046 -0.054 1.11530  1.596        Up
855  2004  1.596  0.525 -0.742  0.338  0.046 1.21180  0.154        Up
856  2004  0.154  1.596  0.525 -0.742  0.338 1.19030 -0.950      Down
857  2004 -0.950  0.154  1.596  0.525 -0.742 1.27680  0.454        Up
858  2004  0.454 -0.950  0.154  1.596  0.525 1.16060 -0.984      Down
859  2004 -0.984  0.454 -0.950  0.154  1.596 1.17940  0.597        Up
860  2004  0.597 -0.984  0.454 -0.950  0.154 1.34590  0.137        Up
861  2004  0.137  0.597 -0.984  0.454 -0.950 1.16840 -0.133      Down
862  2004 -0.133  0.137  0.597 -0.984  0.454 1.29670  0.262        Up
863  2004  0.262 -0.133  0.137  0.597 -0.984 1.50060 -0.416      Down
864  2004 -0.416  0.262 -0.133  0.137  0.597 1.12390  0.364        Up
865  2004  0.364 -0.416  0.262 -0.133  0.137 1.38230  0.851        Up
866  2004  0.851  0.364 -0.416  0.262 -0.133 1.44420 -0.298      Down
867  2004 -0.298  0.851  0.364 -0.416  0.262 1.39490 -0.545      Down
868  2004 -0.545 -0.298  0.851  0.364 -0.416 1.81290 -0.095      Down
869  2004 -0.095 -0.545 -0.298  0.851  0.364 1.35460  0.251        Up
870  2004  0.251 -0.095 -0.545 -0.298  0.851 1.37500  0.408        Up
871  2004  0.408  0.251 -0.095 -0.545 -0.298 1.47380 -1.043      Down
872  2004 -1.043  0.408  0.251 -0.095 -0.545 1.49570 -0.315      Down
873  2004 -0.315 -1.043  0.408  0.251 -0.095 1.08500 -0.815      Down
874  2004 -0.815 -0.315 -1.043  0.408  0.251 1.28330  0.190        Up
875  2004  0.190 -0.815 -0.315 -1.043  0.408 1.32860 -0.824      Down
876  2004 -0.824  0.190 -0.815 -0.315 -1.043 1.40110  0.334        Up
877  2004  0.334 -0.824  0.190 -0.815 -0.315 1.18630  0.138        Up
878  2004  0.138  0.334 -0.824  0.190 -0.815 1.11460  0.071        Up
879  2004  0.071  0.138  0.334 -0.824  0.190 1.19970 -0.329      Down
880  2004 -0.329  0.071  0.138  0.334 -0.824 1.46200 -0.430      Down
881  2004 -0.430 -0.329  0.071  0.138  0.334 1.40870 -0.479      Down
882  2004 -0.479 -0.430 -0.329  0.071  0.138 1.45030 -0.044      Down
883  2004 -0.044 -0.479 -0.430 -0.329  0.071 1.31990  0.706        Up
884  2004  0.706 -0.044 -0.479 -0.430 -0.329 1.44580 -1.334      Down
885  2004 -1.334  0.706 -0.044 -0.479 -0.430 1.67950  0.271        Up
886  2004  0.271 -1.334  0.706 -0.044 -0.479 1.68080 -0.970      Down
887  2004 -0.970  0.271 -1.334  0.706 -0.044 1.33750 -0.196      Down
888  2004 -0.196 -0.970  0.271 -1.334  0.706 1.41340  0.993        Up
889  2004  0.993 -0.196 -0.970  0.271 -1.334 1.61080  0.054        Up
890  2004  0.054  0.993 -0.196 -0.970  0.271 1.55430  0.457        Up
891  2004  0.457  0.054  0.993 -0.196 -0.970 1.53010  0.117        Up
892  2004  0.117  0.457  0.054  0.993 -0.196 1.29820  0.445        Up
893  2004  0.445  0.117  0.457  0.054  0.993 1.27600 -0.626      Down
894  2004 -0.626  0.445  0.117  0.457  0.054 1.33830 -0.096      Down
895  2004 -0.096 -0.626  0.445  0.117  0.457 1.36920 -1.632      Down
896  2004 -1.632 -0.096 -0.626  0.445  0.117 1.39740 -1.548      Down
897  2004 -1.548 -1.632 -0.096 -0.626  0.445 1.52100  0.117        Up
898  2004  0.117 -1.548 -1.632 -0.096 -0.626 1.08600  1.297        Up
899  2004  1.297  0.117 -1.548 -1.632 -0.096 1.24560 -0.301      Down
900  2004 -0.301  1.297  0.117 -1.548 -1.632 1.41040 -1.168      Down
901  2004 -1.168 -0.301  1.297  0.117 -1.548 1.40510  0.148        Up
902  2004  0.148 -1.168 -0.301  1.297  0.117 1.17510  1.366        Up
903  2004  1.366  0.148 -1.168 -0.301  1.297 1.20620  0.220        Up
904  2004  0.220  1.366  0.148 -1.168 -0.301 1.26780  1.244        Up
905  2004  1.244  0.220  1.366  0.148 -1.168 1.28250 -0.360      Down
906  2004 -0.360  1.244  0.220  1.366  0.148 1.24940  0.652        Up
907  2004  0.652 -0.360  1.244  0.220  1.366 1.19990 -0.243      Down
908  2004 -0.243  0.652 -0.360  1.244  0.220 1.02190  0.047        Up
909  2004  0.047 -0.243  0.652 -0.360  1.244 1.09250  0.800        Up
910  2004  0.800  0.047 -0.243  0.652 -0.360 1.19220  0.012        Up
911  2004  0.012  0.800  0.047 -0.243  0.652 1.02360  0.243        Up
912  2004  0.243  0.012  0.800  0.047 -0.243 0.84540 -0.778      Down
913  2004 -0.778  0.243  0.012  0.800  0.047 0.84310  0.463        Up
914  2004  0.463 -0.778  0.243  0.012  0.800 1.13820  0.151        Up
915  2004  0.151  0.463 -0.778  0.243  0.012 1.14210  1.121        Up
916  2004  1.121  0.151  0.463 -0.778  0.243 1.11840 -0.418      Down
917  2004 -0.418  1.121  0.151  0.463 -0.778 0.92417  0.689        Up
918  2004  0.689 -0.418  1.121  0.151  0.463 1.21440 -0.449      Down
919  2004 -0.449  0.689 -0.418  1.121  0.151 1.24630  0.189        Up
920  2004  0.189 -0.449  0.689 -0.418  1.121 1.37130  0.495        Up
921  2004  0.495  0.189 -0.449  0.689 -0.418 1.26120  0.169        Up
922  2004  0.169  0.495  0.189 -0.449  0.689 1.29980  0.223        Up
923  2004  0.223  0.169  0.495  0.189 -0.449 1.20450 -0.705      Down
924  2004 -0.705  0.223  0.169  0.495  0.189 1.25600  0.279        Up
925  2004  0.279 -0.705  0.223  0.169  0.495 1.11390  0.449        Up
926  2004  0.449  0.279 -0.705  0.223  0.169 1.42260 -0.563      Down
927  2004 -0.563  0.449  0.279 -0.705  0.223 1.19760  0.633        Up
928  2004  0.633 -0.563  0.449  0.279 -0.705 1.32500 -1.394      Down
929  2004 -1.394  0.633 -0.563  0.449  0.279 1.37990 -0.467      Down
930  2004 -0.467 -1.394  0.633 -0.563  0.449 1.28630  0.158        Up
931  2004  0.158 -0.467 -1.394  0.633 -0.563 1.25540 -0.594      Down
932  2004 -0.594  0.158 -0.467 -1.394  0.633 1.26350  0.593        Up
933  2004  0.593 -0.594  0.158 -0.467 -1.394 1.39660  0.427        Up
934  2004  0.427  0.593 -0.594  0.158 -0.467 1.40290 -0.020      Down
935  2004 -0.020  0.427  0.593 -0.594  0.158 1.74800  1.518        Up
936  2004  1.518 -0.020  0.427  0.593 -0.594 1.58220  0.324        Up
937  2004  0.324  1.518 -0.020  0.427  0.593 1.53400 -0.061      Down
938  2004 -0.061  0.324  1.518 -0.020  0.427 1.41840  0.667        Up
939  2004  0.667 -0.061  0.324  1.518 -0.020 1.41670 -0.998      Down
940  2004 -0.998  0.667 -0.061  0.324  1.518 1.44750 -0.753      Down
941  2004 -0.753 -0.998  0.667 -0.061  0.324 1.29160  0.201        Up
942  2004  0.201 -0.753 -0.998  0.667 -0.061 0.94380 -0.227      Down
943  2004 -0.227  0.201 -0.753 -0.998  0.667 1.32010 -0.730      Down
944  2004 -0.730 -0.227  0.201 -0.753 -0.998 1.54620 -0.930      Down
945  2004 -0.930 -0.730 -0.227  0.201 -0.753 1.48950  0.445        Up
946  2004  0.445 -0.930 -0.730 -0.227  0.201 1.64510  0.525        Up
947  2004  0.525  0.445 -0.930 -0.730 -0.227 1.37330 -0.969      Down
948  2004 -0.969  0.525  0.445 -0.930 -0.730 1.73750  0.039        Up
949  2004  0.039 -0.969  0.525  0.445 -0.930 1.68570  0.256        Up
950  2004  0.256  0.039 -0.969  0.525  0.445 1.67300 -0.972      Down
951  2004 -0.972  0.256  0.039 -0.969  0.525 1.46960 -0.086      Down
952  2004 -0.086 -0.972  0.256  0.039 -0.969 1.38050  1.488        Up
953  2004  1.488 -0.086 -0.972  0.256  0.039 1.68540  1.288        Up
954  2004  1.288  1.488 -0.086 -0.972  0.256 1.74190  0.181        Up
955  2004  0.181  1.288  1.488 -0.086 -0.972 1.62820  0.245        Up
956  2004  0.245  0.181  1.288  1.488 -0.086 1.50080  0.027        Up
957  2004  0.027  0.245  0.181  1.288  1.488 1.39590  0.004        Up
958  2004  0.004  0.027  0.245  0.181  1.288 1.65900  1.118        Up
959  2004  1.118  0.004  0.027  0.245  0.181 1.76750  1.616        Up
960  2004  1.616  1.118  0.004  0.027  0.245 1.78270  0.387        Up
961  2004  0.387  1.616  1.118  0.004  0.027 1.72440 -0.110      Down
962  2004 -0.110  0.387  1.616  1.118  0.004 1.35870 -0.070      Down
963  2004 -0.070 -0.110  0.387  1.616  1.118 1.45080 -0.101      Down
964  2004 -0.101 -0.070 -0.110  0.387  1.616 1.50430  0.909        Up
965  2004  0.909 -0.101 -0.070 -0.110  0.387 1.39300  0.911        Up
966  2004  0.911  0.909 -0.101 -0.070 -0.110 1.53160 -0.030      Down
967  2004 -0.030  0.911  0.909 -0.101 -0.070 1.45330 -0.708      Down
968  2004 -0.708 -0.030  0.911  0.909 -0.101 1.36440  0.554        Up
969  2004  0.554 -0.708 -0.030  0.911  0.909 1.68420  0.136        Up
970  2004  0.136  0.554 -0.708 -0.030  0.911 1.45670 -1.116      Down
971  2004 -1.116  0.136  0.554 -0.708 -0.030 1.52660  0.590        Up
972  2004  0.590 -1.116  0.136  0.554 -0.708 1.39270 -0.025      Down
973  2004 -0.025  0.590 -1.116  0.136  0.554 1.42830  0.410        Up
974  2004  0.410 -0.025  0.590 -1.116  0.136 1.14960  0.075        Up
975  2004  0.075  0.410 -0.025  0.590 -1.116 0.50458 -0.345      Down
976  2004 -0.345  0.075  0.410 -0.025  0.590 1.37850 -0.403      Down
977  2004 -0.403 -0.345  0.075  0.410 -0.025 1.55350  1.495        Up
978  2004  1.495 -0.403 -0.345  0.075  0.410 1.77280 -0.087      Down
979  2004 -0.087  1.495 -0.403 -0.345  0.075 1.77490  0.071        Up
980  2004  0.071 -0.087  1.495 -0.403 -0.345 1.56670 -0.077      Down
981  2004 -0.077  0.071 -0.087  1.495 -0.403 1.35440 -1.107      Down
982  2004 -1.107 -0.077  0.071 -0.087  1.495 1.53390  0.488        Up
983  2004  0.488 -1.107 -0.077  0.071 -0.087 1.52520  0.544        Up
984  2004  0.544  0.488 -1.107 -0.077  0.071 1.62470 -0.104      Down
985  2004 -0.104  0.544  0.488 -1.107 -0.077 1.44370  0.899        Up
986  2004  0.899 -0.104  0.544  0.488 -1.107 1.43610  0.392        Up
987  2004  0.392  0.899 -0.104  0.544  0.488 1.54440  0.194        Up
988  2004  0.194  0.392  0.899 -0.104  0.544 1.69580 -0.208      Down
989  2004 -0.208  0.194  0.392  0.899 -0.104 1.79390 -0.749      Down
990  2004 -0.749 -0.208  0.194  0.392  0.899 2.33500  0.038        Up
991  2004  0.038 -0.749 -0.208  0.194  0.392 1.42280  0.904        Up
992  2004  0.904  0.038 -0.749 -0.208  0.194 1.48370  0.342        Up
993  2004  0.342  0.904  0.038 -0.749 -0.208 1.39080  0.046        Up
994  2004  0.046  0.342  0.904  0.038 -0.749 0.95610 -0.431      Down
995  2004 -0.431  0.046  0.342  0.904  0.038 0.92200  0.715        Up
996  2004  0.715 -0.431  0.046  0.342  0.904 0.98300 -0.007      Down
997  2004 -0.007  0.715 -0.431  0.046  0.342 0.92590  0.008        Up
998  2004  0.008 -0.007  0.715 -0.431  0.046 0.82980 -0.134      Down
999  2005 -0.134  0.008 -0.007  0.715 -0.431 0.78690 -0.812      Down
1000 2005 -0.812 -0.134  0.008 -0.007  0.715 1.51080 -1.167      Down
1001 2005 -1.167 -0.812 -0.134  0.008 -0.007 1.72100 -0.363      Down
1002 2005 -0.363 -1.167 -0.812 -0.134  0.008 1.73890  0.351        Up
1003 2005  0.351 -0.363 -1.167 -0.812 -0.134 1.56910 -0.143      Down
1004 2005 -0.143  0.351 -0.363 -1.167 -0.812 1.47790  0.342        Up
1005 2005  0.342 -0.143  0.351 -0.363 -1.167 1.49040 -0.610      Down
1006 2005 -0.610  0.342 -0.143  0.351 -0.363 1.48880  0.398        Up
1007 2005  0.398 -0.610  0.342 -0.143  0.351 1.56210 -0.863      Down
1008 2005 -0.863  0.398 -0.610  0.342 -0.143 1.51030  0.600        Up
1009 2005  0.600 -0.863  0.398 -0.610  0.342 1.33540  0.967        Up
1010 2005  0.967  0.600 -0.863  0.398 -0.610 1.59680 -0.949      Down
1011 2005 -0.949  0.967  0.600 -0.863  0.398 1.49870 -0.778      Down
1012 2005 -0.778 -0.949  0.967  0.600 -0.863 1.69200 -0.641      Down
1013 2005 -0.641 -0.778 -0.949  0.967  0.600 1.64350 -0.353      Down
1014 2005 -0.353 -0.641 -0.778 -0.949  0.967 1.49460  0.400        Up
1015 2005  0.400 -0.353 -0.641 -0.778 -0.949 1.61040  0.484        Up
1016 2005  0.484  0.400 -0.353 -0.641 -0.778 1.63590  0.041        Up
1017 2005  0.041  0.484  0.400 -0.353 -0.641 1.60060 -0.272      Down
1018 2005 -0.272  0.041  0.484  0.400 -0.353 1.64180  0.846        Up
1019 2005  0.846 -0.272  0.041  0.484  0.400 1.67980  0.689        Up
1020 2005  0.689  0.846 -0.272  0.041  0.484 1.68198  0.318        Up
1021 2005  0.318  0.689  0.846 -0.272  0.041 1.56174 -0.277      Down
1022 2005 -0.277  0.318  0.689  0.846 -0.272 1.55446  1.104        Up
1023 2005  1.104 -0.277  0.318  0.689  0.846 1.64816 -0.109      Down
1024 2005 -0.109  1.104 -0.277  0.318  0.689 1.34727  0.048        Up
1025 2005  0.048 -0.109  1.104 -0.277  0.318 1.41617 -0.858      Down
1026 2005 -0.858  0.048 -0.109  1.104 -0.277 1.51104  0.421        Up
1027 2005  0.421 -0.858  0.048 -0.109  1.104 1.49167  0.693        Up
1028 2005  0.693  0.421 -0.858  0.048 -0.109 1.56230  0.070        Up
1029 2005  0.070  0.693  0.421 -0.858  0.048 1.29018  0.330        Up
1030 2005  0.330  0.070  0.693  0.421 -0.858 1.52708  0.018        Up
1031 2005  0.018  0.330  0.070  0.693  0.421 1.49010 -0.792      Down
1032 2005 -0.792  0.018  0.330  0.070  0.693 1.58012  0.070        Up
1033 2005  0.070 -0.792  0.018  0.330  0.070 1.55120 -1.451      Down
1034 2005 -1.451  0.070 -0.792  0.018  0.330 1.74494  0.561        Up
1035 2005  0.561 -1.451  0.070 -0.792  0.018 1.50109  0.789        Up
1036 2005  0.789  0.561 -1.451  0.070 -0.792 1.51875  0.931        Up
1037 2005  0.931  0.789  0.561 -1.451  0.070 1.52368 -0.641      Down
1038 2005 -0.641  0.931  0.789  0.561 -1.451 1.79548  0.566        Up
1039 2005  0.566 -0.641  0.931  0.789  0.561 1.70806 -0.027      Down
1040 2005 -0.027  0.566 -0.641  0.931  0.789 1.56854  0.032        Up
1041 2005  0.032 -0.027  0.566 -0.641  0.931 1.61624  0.962        Up
1042 2005  0.962  0.032 -0.027  0.566 -0.641 1.63682  0.261        Up
1043 2005  0.261  0.962  0.032 -0.027  0.566 1.48883 -0.480      Down
1044 2005 -0.480  0.261  0.962  0.032 -0.027 1.52309 -1.019      Down
1045 2005 -1.019 -0.480  0.261  0.962  0.032 1.70497  0.186        Up
1046 2005  0.186 -1.019 -0.480  0.261  0.962 1.60402 -0.758      Down
1047 2005 -0.758  0.186 -1.019 -0.480  0.261 1.44982  0.562        Up
1048 2005  0.562 -0.758  0.186 -1.019 -0.480 1.43743 -0.752      Down
1049 2005 -0.752  0.562 -0.758  0.186 -1.019 1.51353 -0.808      Down
1050 2005 -0.808 -0.752  0.562 -0.758  0.186 1.65319  0.180        Up
1051 2005  0.180 -0.808 -0.752  0.562 -0.758 1.58193 -0.047      Down
1052 2005 -0.047  0.180 -0.808 -0.752  0.562 2.34437 -0.493      Down
1053 2005 -0.493 -0.047  0.180 -0.808 -0.752 1.81944 -1.020      Down
1054 2005 -1.020 -0.493 -0.047  0.180 -0.808 2.11447  0.070        Up
1055 2005  0.070 -1.020 -0.493 -0.047  0.180 2.24687 -0.095      Down
1056 2005 -0.095  0.070 -1.020 -0.493 -0.047 1.72172  0.244        Up
1057 2005  0.244 -0.095  0.070 -1.020 -0.493 1.74622 -0.760      Down
1058 2005 -0.760  0.244 -0.095  0.070 -1.020 2.22325  1.377        Up
1059 2005  1.377 -0.760  0.244 -0.095  0.070 2.09711 -0.069      Down
1060 2005 -0.069  1.377 -0.760  0.244 -0.095 2.21423 -0.650      Down
1061 2005 -0.650 -0.069  1.377 -0.760  0.244 2.16869  0.273        Up
1062 2005  0.273 -0.650 -0.069  1.377 -0.760 2.07977  0.448        Up
1063 2005  0.448  0.273 -0.650 -0.069  1.377 1.87080  0.227        Up
1064 2005  0.227  0.448  0.273 -0.650 -0.069 1.79740  0.597        Up
1065 2005  0.597  0.227  0.448  0.273 -0.650 1.90062 -0.834      Down
1066 2005 -0.834  0.597  0.227  0.448  0.273 1.66133  0.001        Up
1067 2005  0.001 -0.834  0.597  0.227  0.448 1.52531  0.555        Up
1068 2005  0.555  0.001 -0.834  0.597  0.227 1.97983 -1.176      Down
1069 2005 -1.176  0.555  0.001 -0.834  0.597 2.04974 -1.000      Down
1070 2005 -1.000 -1.176  0.555  0.001 -0.834 2.35504 -1.672      Down
1071 2005 -1.672 -1.000 -1.176  0.555  0.001 2.68996  0.294        Up
1072 2005  0.294 -1.672 -1.000 -1.176  0.555 2.18067  0.593        Up
1073 2005  0.593  0.294 -1.672 -1.000 -1.176 2.14270 -1.325      Down
1074 2005 -1.325  0.593  0.294 -1.672 -1.000 2.21705  1.974        Up
1075 2005  1.974 -1.325  0.593  0.294 -1.672 2.30856 -0.675      Down
1076 2005 -0.675  1.974 -1.325  0.593  0.294 2.04588  0.866        Up
1077 2005  0.866 -0.675  1.974 -1.325  0.593 1.79503 -0.884      Down
1078 2005 -0.884  0.866 -0.675  1.974 -1.325 1.95974  0.395        Up
1079 2005  0.395 -0.884  0.866 -0.675  1.974 2.15152 -1.138      Down
1080 2005 -1.138  0.395 -0.884  0.866 -0.675 2.18227  1.192        Up
1081 2005  1.192 -1.138  0.395 -0.884  0.866 2.36236  0.459        Up
1082 2005  0.459  1.192 -1.138  0.395 -0.884 1.98004 -0.085      Down
1083 2005 -0.085  0.459  1.192 -1.138  0.395 2.16702  1.247        Up
1084 2005  1.247 -0.085  0.459  1.192 -1.138 2.30648 -0.257      Down
1085 2005 -0.257  1.247 -0.085  0.459  1.192 1.99710 -0.109      Down
1086 2005 -0.109 -0.257  1.247 -0.085  0.459 1.70720  0.639        Up
1087 2005  0.639 -0.109 -0.257  1.247 -0.085 1.85702 -1.071      Down
1088 2005 -1.071  0.639 -0.109 -0.257  1.247 1.88966  0.419        Up
1089 2005  0.419 -1.071  0.639 -0.109 -0.257 1.83497 -1.003      Down
1090 2005 -1.003  0.419 -1.071  0.639 -0.109 1.99529 -0.458      Down
1091 2005 -0.458 -1.003  0.419 -1.071  0.639 2.18859  1.009        Up
1092 2005  1.009 -0.458 -1.003  0.419 -1.071 1.85686  0.696        Up
1093 2005  0.696  1.009 -0.458 -1.003  0.419 1.88726  1.002        Up
1094 2005  1.002  0.696  1.009 -0.458 -1.003 2.26632  0.466        Up
1095 2005  0.466  1.002  0.696  1.009 -0.458 1.77586 -0.151      Down
1096 2005 -0.151  0.466  1.002  0.696  1.009 1.63175  0.385        Up
1097 2005  0.385 -0.151  0.466  1.002  0.696 1.68117  0.018        Up
1098 2005  0.018  0.385 -0.151  0.466  1.002 1.68100 -0.340      Down
1099 2005 -0.340  0.018  0.385 -0.151  0.466 1.74218  0.639        Up
1100 2005  0.639 -0.340  0.018  0.385 -0.151 1.65411  0.097        Up
1101 2005  0.097  0.639 -0.340  0.018  0.385 1.38143 -0.607      Down
1102 2005 -0.607  0.097  0.639 -0.340  0.018 1.84068  0.900        Up
1103 2005  0.900 -0.607  0.097  0.639 -0.340 1.81010  0.172        Up
1104 2005  0.172  0.900 -0.607  0.097  0.639 1.81379 -0.687      Down
1105 2005 -0.687  0.172  0.900 -0.607  0.097 1.62752  0.125        Up
1106 2005  0.125 -0.687  0.172  0.900 -0.607 1.54712 -0.021      Down
1107 2005 -0.021  0.125 -0.687  0.172  0.900 1.85137 -0.216      Down
1108 2005 -0.216 -0.021  0.125 -0.687  0.172 1.71549  0.524        Up
1109 2005  0.524 -0.216 -0.021  0.125 -0.687 1.82412 -0.235      Down
1110 2005 -0.235  0.524 -0.216 -0.021  0.125 1.66418  0.226        Up
1111 2005  0.226 -0.235  0.524 -0.216 -0.021 1.66135  0.257        Up
1112 2005  0.257  0.226 -0.235  0.524 -0.216 1.69815  0.222        Up
1113 2005  0.222  0.257  0.226 -0.235  0.524 1.84044  0.363        Up
1114 2005  0.363  0.222  0.257  0.226 -0.235 1.77604  0.495        Up
1115 2005  0.495  0.363  0.222  0.257  0.226 2.40737 -0.071      Down
1116 2005 -0.071  0.495  0.363  0.222  0.257 1.71453 -0.205      Down
1117 2005 -0.205 -0.071  0.495  0.363  0.222 1.72070  0.022        Up
1118 2005  0.022 -0.205 -0.071  0.495  0.363 1.82325 -1.083      Down
1119 2005 -1.083  0.022 -0.205 -0.071  0.495 2.02992 -0.763      Down
1120 2005 -0.763 -1.083  0.022 -0.205 -0.071 2.41880 -0.074      Down
1121 2005 -0.074 -0.763 -1.083  0.022 -0.205 1.73862  0.914        Up
1122 2005  0.914 -0.074 -0.763 -1.083  0.022 1.77241 -0.143      Down
1123 2005 -0.143  0.914 -0.074 -0.763 -1.083 1.76928 -0.710      Down
1124 2005 -0.710 -0.143  0.914 -0.074 -0.763 2.10949  0.261        Up
1125 2005  0.261 -0.710 -0.143  0.914 -0.074 1.59382  0.883        Up
1126 2005  0.883  0.261 -0.710 -0.143  0.914 1.80582 -0.834      Down
1127 2005 -0.834  0.883  0.261 -0.710 -0.143 1.88347  0.245        Up
1128 2005  0.245 -0.834  0.883  0.261 -0.710 1.95244  1.168        Up
1129 2005  1.168  0.245 -0.834  0.883  0.261 1.90081  0.625        Up
1130 2005  0.625  1.168  0.245 -0.834  0.883 1.84630  0.227        Up
1131 2005  0.227  0.625  1.168  0.245 -0.834 1.93201  0.088        Up
1132 2005  0.088  0.227  0.625  1.168  0.245 1.81250  0.262        Up
1133 2005  0.262  0.088  0.227  0.625  1.168 2.04871  0.116        Up
1134 2005  0.116  0.262  0.088  0.227  0.625 1.71640 -0.553      Down
1135 2005 -0.553  0.116  0.262  0.088  0.227 1.58210  0.673        Up
1136 2005  0.673 -0.553  0.116  0.262  0.088 2.04128  0.476        Up
1137 2005  0.476  0.673 -0.553  0.116  0.262 2.06334 -0.661      Down
1138 2005 -0.661  0.476  0.673 -0.553  0.116 2.12984  0.541        Up
1139 2005  0.541 -0.661  0.476  0.673 -0.553 1.76699 -0.377      Down
1140 2005 -0.377  0.541 -0.661  0.476  0.673 1.71758  0.173        Up
1141 2005  0.173 -0.377  0.541 -0.661  0.476 1.93418  0.457        Up
1142 2005  0.457  0.173 -0.377  0.541 -0.661 1.94580  0.560        Up
1143 2005  0.560  0.457  0.173 -0.377  0.541 2.00168 -0.767      Down
1144 2005 -0.767  0.560  0.457  0.173 -0.377 1.78960  0.095        Up
1145 2005  0.095 -0.767  0.560  0.457  0.173 1.71687  0.710        Up
1146 2005  0.710  0.095 -0.767  0.560  0.457 2.04312  0.074        Up
1147 2005  0.074  0.710  0.095 -0.767  0.560 1.99998 -0.737      Down
1148 2005 -0.737  0.074  0.710  0.095 -0.767 1.98122 -0.764      Down
1149 2005 -0.764 -0.737  0.074  0.710  0.095 1.93028 -0.268      Down
1150 2005 -0.268 -0.764 -0.737  0.074  0.710 1.80414  0.674        Up
1151 2005  0.674 -0.268 -0.764 -0.737  0.074 1.89752 -0.183      Down
1152 2005 -0.183  0.674 -0.268 -0.764 -0.737 2.17232  0.706        Up
1153 2005  0.706 -0.183  0.674 -0.268 -0.764 1.94156 -0.599      Down
1154 2005 -0.599  0.706 -0.183  0.674 -0.268 1.70930  0.283        Up
1155 2005  0.283 -0.599  0.706 -0.183  0.674 1.56288 -1.178      Down
1156 2005 -1.178  0.283 -0.599  0.706 -0.183 1.82041  0.074        Up
1157 2005  0.074 -1.178  0.283 -0.599  0.706 1.85915 -0.100      Down
1158 2005 -0.100  0.074 -1.178  0.283 -0.599 1.80817  0.057        Up
1159 2005  0.057 -0.100  0.074 -1.178  0.283 1.55879  0.166        Up
1160 2005  0.166  0.057 -0.100  0.074 -1.178 1.62133 -0.339      Down
1161 2005 -0.339  0.166  0.057 -0.100  0.074 1.67862 -0.657      Down
1162 2005 -0.657 -0.339  0.166  0.057 -0.100 1.93080  0.230        Up
1163 2005  0.230 -0.657 -0.339  0.166  0.057 1.57111 -0.600      Down
1164 2005 -0.600  0.230 -0.657 -0.339  0.166 1.54109  0.596        Up
1165 2005  0.596 -0.600  0.230 -0.657 -0.339 1.59945 -0.319      Down
1166 2005 -0.319  0.596 -0.600  0.230 -0.657 1.91647  0.986        Up
1167 2005  0.986 -0.319  0.596 -0.600  0.230 2.36551  0.103        Up
1168 2005  0.103  0.986 -0.319  0.596 -0.600 2.22986 -0.292      Down
1169 2005 -0.292  0.103  0.986 -0.319  0.596 1.64016  1.262        Up
1170 2005  1.262 -0.292  0.103  0.986 -0.319 1.93209  0.241        Up
1171 2005  0.241  1.262 -0.292  0.103  0.986 2.06770 -0.379      Down
1172 2005 -0.379  0.241  1.262 -0.292  0.103 1.95538  0.796        Up
1173 2005  0.796 -0.379  0.241  1.262 -0.292 1.99256 -0.074      Down
1174 2005 -0.074  0.796 -0.379  0.241  1.262 1.93805 -0.754      Down
1175 2005 -0.754 -0.074  0.796 -0.379  0.241 2.08236 -0.328      Down
1176 2005 -0.328 -0.754 -0.074  0.796 -0.379 1.98675  0.046        Up
1177 2005  0.046 -0.328 -0.754 -0.074  0.796 2.07934  0.829        Up
1178 2005  0.829  0.046 -0.328 -0.754 -0.074 3.15247 -0.557      Down
1179 2005 -0.557  0.829  0.046 -0.328 -0.754 2.07654 -0.786      Down
1180 2005 -0.786 -0.557  0.829  0.046 -0.328 2.31925 -0.912      Down
1181 2005 -0.912 -0.786 -0.557  0.829  0.046 2.54815  0.365        Up
1182 2005  0.365 -0.912 -0.786 -0.557  0.829 2.42472  0.055        Up
1183 2005  0.055  0.365 -0.912 -0.786 -0.557 1.97302  0.028        Up
1184 2005  0.028  0.055  0.365 -0.912 -0.786 2.02222  0.002        Up
1185 2005  0.002  0.028  0.055  0.365 -0.912 1.97627  0.101        Up
1186 2005  0.101  0.002  0.028  0.055  0.365 2.10698  0.887        Up
1187 2005  0.887  0.101  0.002  0.028  0.055 2.17612  0.092        Up
1188 2005  0.092  0.887  0.101  0.002  0.028 2.09752 -0.172      Down
1189 2005 -0.172  0.092  0.887  0.101  0.002 2.09749 -0.997      Down
1190 2005 -0.997 -0.172  0.092  0.887  0.101 2.34142 -1.489      Down
1191 2005 -1.489 -0.997 -0.172  0.092  0.887 2.54678 -0.410      Down
1192 2005 -0.410 -1.489 -0.997 -0.172  0.092 2.79203  0.370        Up
1193 2005  0.370 -0.410 -1.489 -0.997 -0.172 2.12608 -0.717      Down
1194 2005 -0.717  0.370 -0.410 -1.489 -0.997 2.19599 -0.207      Down
1195 2005 -0.207 -0.717  0.370 -0.410 -1.489 2.29904 -0.607      Down
1196 2005 -0.607 -0.207 -0.717  0.370 -0.410 2.49128 -0.071      Down
1197 2005 -0.071 -0.607 -0.207 -0.717  0.370 2.35115  0.827        Up
1198 2005  0.827 -0.071 -0.607 -0.207 -0.717 2.18894  0.297        Up
1199 2005  0.297  0.827 -0.071 -0.607 -0.207 2.05457 -1.005      Down
1200 2005 -1.005  0.297  0.827 -0.071 -0.607 2.19701  1.496        Up
1201 2005  1.496 -1.005  0.297  0.827 -0.071 2.70359 -1.502      Down
1202 2005 -1.502  1.496 -1.005  0.297  0.827 2.61725  0.152        Up
1203 2005  0.152 -1.502  1.496 -1.005  0.297 2.47092  1.678        Up
1204 2005  1.678  0.152 -1.502  1.496 -1.005 2.19779 -0.237      Down
1205 2005 -0.237  1.678  0.152 -1.502  1.496 2.31247 -0.431      Down
1206 2005 -0.431 -0.237  1.678  0.152 -1.502 2.46775 -1.048      Down
1207 2005 -1.048 -0.431 -0.237  1.678  0.152 2.39537  1.655        Up
1208 2005  1.655 -1.048 -0.431 -0.237  1.678 2.37940  0.718        Up
1209 2005  0.718  1.655 -1.048 -0.431 -0.237 2.56747 -0.352      Down
1210 2005 -0.352  0.718  1.655 -1.048 -0.431 2.45785  0.998        Up
1211 2005  0.998 -0.352  0.718  1.655 -1.048 2.64809  0.426        Up
1212 2005  0.426  0.998 -0.352  0.718  1.655 2.71663  0.016        Up
1213 2005  0.016  0.426  0.998 -0.352  0.718 2.05051  0.219        Up
1214 2005  0.219  0.016  0.426  0.998 -0.352 1.98758 -0.345      Down
1215 2005 -0.345  0.219  0.016  0.426  0.998 1.96505  0.169        Up
1216 2005  0.169 -0.345  0.219  0.016  0.426 2.21446  0.845        Up
1217 2005  0.845  0.169 -0.345  0.219  0.016 2.37846  0.305        Up
1218 2005  0.305  0.845  0.169 -0.345  0.219 1.77314 -0.078      Down
1219 2005 -0.078  0.305  0.845  0.169 -0.345 1.89978 -0.385      Down
1220 2005 -0.385 -0.078  0.305  0.845  0.169 2.35937  0.179        Up
1221 2005  0.179 -0.385 -0.078  0.305  0.845 2.12158  0.941        Up
1222 2005  0.941  0.179 -0.385 -0.078  0.305 2.29804  0.440        Up
1223 2005  0.440  0.941  0.179 -0.385 -0.078 2.45329  0.527        Up
1224 2005  0.527  0.440  0.941  0.179 -0.385 2.11735  0.508        Up
1225 2005  0.508  0.527  0.440  0.941  0.179 2.29142  0.347        Up
1226 2005  0.347  0.508  0.527  0.440  0.941 1.98540  0.209        Up
1227 2005  0.209  0.347  0.508  0.527  0.440 0.72494 -0.851      Down
1228 2005 -0.851  0.209  0.347  0.508  0.527 2.01690  0.002        Up
1229 2005  0.002 -0.851  0.209  0.347  0.508 2.26834 -0.636      Down
1230 2005 -0.636  0.002 -0.851  0.209  0.347 2.37469  1.216        Up
1231 2005  1.216 -0.636  0.002 -0.851  0.209 2.61483  0.032        Up
1232 2005  0.032  1.216 -0.636  0.002 -0.851 2.12558 -0.236      Down
1233 2005 -0.236  0.032  1.216 -0.636  0.002 2.32584  0.128        Up
1234 2005  0.128 -0.236  0.032  1.216 -0.636 2.11074 -0.501      Down
1235 2005 -0.501  0.128 -0.236  0.032  1.216 2.09383 -0.122      Down
1236 2005 -0.122 -0.501  0.128 -0.236  0.032 2.17830  0.281        Up
1237 2005  0.281 -0.122 -0.501  0.128 -0.236 1.89629  0.084        Up
1238 2005  0.084  0.281 -0.122 -0.501  0.128 1.87655  0.555        Up
1239 2005  0.555  0.084  0.281 -0.122 -0.501 2.39002  0.419        Up
1240 2005  0.419  0.555  0.084  0.281 -0.122 2.14552 -0.141      Down
1241 2005 -0.141  0.419  0.555  0.084  0.281 2.18059 -0.285      Down
1242 2005 -0.285 -0.141  0.419  0.555  0.084 2.58419 -0.584      Down
1243 2005 -0.584 -0.285 -0.141  0.419  0.555 2.20881 -0.024      Down
1244 2005 -0.024 -0.584 -0.285 -0.141  0.419 1.99669  0.252        Up
1245 2005  0.252 -0.024 -0.584 -0.285 -0.141 2.06517  0.422        Up
1246 2005  0.422  0.252 -0.024 -0.584 -0.285 1.88850  0.043        Up
1247 2005  0.043  0.422  0.252 -0.024 -0.584 1.28581 -0.955      Down
1248 2005 -0.955  0.043  0.422  0.252 -0.024 1.54047  0.130        Up
1249 2005  0.130 -0.955  0.043  0.422  0.252 1.42236 -0.298      Down
1250 2005 -0.298  0.130 -0.955  0.043  0.422 1.38254 -0.489      Down
               LD1      Down        Up pred.smarket$class
1    -0.1931877904 0.4861024 0.5138976                 Up
2    -0.9003564131 0.5027466 0.4972534               Down
3    -1.2277149105 0.5104516 0.4895484               Down
4    -0.0096437174 0.4817860 0.5182140                 Up
5    -0.1666037241 0.4854771 0.5145229                 Up
6    -0.4455064760 0.4920394 0.5079606                 Up
7    -1.1489414739 0.5085978 0.4914022               Down
8    -0.3456144095 0.4896886 0.5103114                 Up
9     0.1740415239 0.4774690 0.5225310                 Up
10   -0.9940233757 0.5049515 0.4950485               Down
11   -0.8258791089 0.5009933 0.4990067               Down
12    0.2464976537 0.4757670 0.5242330                 Up
13    0.3822265760 0.4725803 0.5274197                 Up
14   -0.4208715465 0.4914597 0.5085403                 Up
15   -0.8458775611 0.5014641 0.4985359               Down
16    0.1000244417 0.4792082 0.5207918                 Up
17   -0.1438620258 0.4849422 0.5150578                 Up
18    1.0697576647 0.4564777 0.5435223                 Up
19    0.5555349779 0.4685145 0.5314855                 Up
20   -0.0499949215 0.4827347 0.5172653                 Up
21    0.7122712880 0.4648411 0.5351589                 Up
22    0.8721406370 0.4610982 0.5389018                 Up
23    1.3075657634 0.4509274 0.5490726                 Up
24   -0.2624707862 0.4877323 0.5122677                 Up
25    0.1024034663 0.4791523 0.5208477                 Up
26    0.5769515194 0.4680124 0.5319876                 Up
27   -0.5071111071 0.4934894 0.5065106                 Up
28    1.0535017941 0.4568575 0.5431425                 Up
29    2.2087416128 0.4300164 0.5699836                 Up
30    2.2227970621 0.4296920 0.5703080                 Up
31    1.0237421692 0.4575529 0.5424471                 Up
32    0.5173091757 0.4694109 0.5305891                 Up
33   -1.0570696510 0.5064355 0.4935645               Down
34   -0.2389813585 0.4871797 0.5128203                 Up
35    1.4482940978 0.4476485 0.5523515                 Up
36    0.5997401666 0.4674781 0.5325219                 Up
37    0.3856249405 0.4725005 0.5274995                 Up
38   -0.1713077235 0.4855877 0.5144123                 Up
39   -1.0263814415 0.5057132 0.4942868               Down
40   -0.9532092897 0.5039907 0.4960093               Down
41   -0.4699387648 0.4926145 0.5073855                 Up
42    1.7720879736 0.4401221 0.5598779                 Up
43    4.4381077580 0.3794898 0.6205102                 Up
44    0.9153299500 0.4600878 0.5399122                 Up
45    1.2620386468 0.4519891 0.5480109                 Up
46    0.7770424345 0.4633242 0.5366758                 Up
47    1.2131589023 0.4531294 0.5468706                 Up
48   -0.4057375485 0.4911035 0.5088965                 Up
49    0.9970283905 0.4581774 0.5418226                 Up
50    2.4945171645 0.4234334 0.5765666                 Up
51    1.1556421958 0.4544719 0.5455281                 Up
52   -1.3108237704 0.5124070 0.4875930               Down
53   -1.7862162713 0.5235835 0.4764165               Down
54   -2.4613377297 0.5394124 0.4605876               Down
55    0.6497100020 0.4663069 0.5336931                 Up
56    1.5052599878 0.4463226 0.5536774                 Up
57   -0.5930665500 0.4955127 0.5044873                 Up
58    0.4401618754 0.4712207 0.5287793                 Up
59    3.1938470541 0.4074426 0.5925574                 Up
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61   -3.1642548306 0.5558085 0.4441915               Down
62   -0.5396439785 0.4942552 0.5057448                 Up
63    0.3308900412 0.4737853 0.5262147                 Up
64   -2.4260830641 0.5385875 0.4614125               Down
65   -1.1084840257 0.5076456 0.4923544               Down
66   -1.0376838839 0.5059792 0.4940208               Down
67   -0.4617081360 0.4924208 0.5075792                 Up
68   -0.6211387268 0.4961735 0.5038265                 Up
69   -3.4222640224 0.5617983 0.4382017               Down
70   -2.7751221299 0.5467444 0.4532556               Down
71    0.0606532122 0.4801335 0.5198665                 Up
72    1.5404263227 0.4455044 0.5544956                 Up
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75   -1.1013653477 0.5074781 0.4925219               Down
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77   -0.4847144301 0.4929622 0.5070378                 Up
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80    1.0933283220 0.4559270 0.5440730                 Up
81   -0.3879548454 0.4906850 0.5093150                 Up
82   -0.4896635036 0.4930787 0.5069213                 Up
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89   -2.1680099007 0.5325429 0.4674571               Down
90   -1.5404815049 0.5178085 0.4821915               Down
91   -0.3268758556 0.4892477 0.5107523                 Up
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93   -0.5565464190 0.4946530 0.5053470                 Up
94    1.3038129384 0.4510149 0.5489851                 Up
95    0.4937159286 0.4699643 0.5300357                 Up
96    0.7485858711 0.4639906 0.5360094                 Up
97    1.1507336999 0.4545865 0.5454135                 Up
98    1.5565770007 0.4451287 0.5548713                 Up
99    0.2728080066 0.4751491 0.5248509                 Up
100  -0.5792507685 0.4951874 0.5048126                 Up
101  -0.5636816372 0.4948210 0.5051790                 Up
102  -1.2188573201 0.5102431 0.4897569               Down
103   0.1915766538 0.4770570 0.5229430                 Up
104   0.0882360451 0.4794852 0.5205148                 Up
105   0.4590519273 0.4707775 0.5292225                 Up
106   1.0799385562 0.4562398 0.5437602                 Up
107   0.3105406790 0.4742631 0.5257369                 Up
108   0.8090587078 0.4625746 0.5374254                 Up
109   1.8634211655 0.4380039 0.5619961                 Up
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112  -0.0250778908 0.4821489 0.5178511                 Up
113  -0.8158715755 0.5007577 0.4992423               Down
114  -1.2649887341 0.5113286 0.4886714               Down
115   0.1850713043 0.4772099 0.5227901                 Up
116   0.8666157446 0.4612275 0.5387725                 Up
117   0.3784213959 0.4726696 0.5273304                 Up
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119  -0.7201186626 0.4985035 0.5014965                 Up
120  -0.4712657772 0.4926457 0.5073543                 Up
121  -0.6883912698 0.4977566 0.5022434                 Up
122  -0.3305626925 0.4893344 0.5106656                 Up
123   1.0237006266 0.4575539 0.5424461                 Up
124   2.3631438306 0.4264564 0.5735436                 Up
125   0.5904454264 0.4676960 0.5323040                 Up
126   0.7705804089 0.4634755 0.5365245                 Up
127   0.7681942833 0.4635314 0.5364686                 Up
128  -1.7348198844 0.5223761 0.4776239               Down
129  -1.5827665179 0.5188026 0.4811974               Down
130   0.5343310852 0.4690117 0.5309883                 Up
131  -0.2375269719 0.4871455 0.5128545                 Up
132  -0.0453826424 0.4826263 0.5173737                 Up
133  -0.1922771936 0.4860810 0.5139190                 Up
134  -0.0205105440 0.4820415 0.5179585                 Up
135   1.4050437948 0.4486558 0.5513442                 Up
136   2.0066747772 0.4346862 0.5653138                 Up
137  -0.4461533676 0.4920547 0.5079453                 Up
138  -1.5430936654 0.5178699 0.4821301               Down
139  -0.6688482768 0.4972966 0.5027034                 Up
140  -0.0265119514 0.4821826 0.5178174                 Up
141  -0.3659237630 0.4901665 0.5098335                 Up
142  -0.5511046983 0.4945249 0.5054751                 Up
143  -0.4775957521 0.4927947 0.5072053                 Up
144   0.2148576265 0.4765101 0.5234899                 Up
145   1.1156598151 0.4554055 0.5445945                 Up
146   0.2949250814 0.4746297 0.5253703                 Up
147   1.1622654059 0.4543172 0.5456828                 Up
148   0.8266750674 0.4621623 0.5378377                 Up
149  -0.4220836054 0.4914882 0.5085118                 Up
150  -0.3350233127 0.4894394 0.5105606                 Up
151   0.2498613293 0.4756880 0.5243120                 Up
152   0.7405205342 0.4641794 0.5358206                 Up
153   0.1164656086 0.4788218 0.5211782                 Up
154   1.1200366202 0.4553033 0.5446967                 Up
155   0.1745887034 0.4774561 0.5225439                 Up
156   0.5366343608 0.4689577 0.5310423                 Up
157   0.0467524033 0.4804602 0.5195398                 Up
158  -0.1140551304 0.4842411 0.5157589                 Up
159  -1.3523503280 0.5133840 0.4866160               Down
160  -0.5548346119 0.4946127 0.5053873                 Up
161   1.3680345671 0.4495180 0.5504820                 Up
162   1.5551863384 0.4451611 0.5548389                 Up
163   1.8161673964 0.4390996 0.5609004                 Up
164   0.5001105185 0.4698143 0.5301857                 Up
165  -0.1426018057 0.4849125 0.5150875                 Up
166   0.1113275275 0.4789426 0.5210574                 Up
167   1.7490370688 0.4406571 0.5593429                 Up
168   2.4694408913 0.4240100 0.5759900                 Up
169   0.4108322993 0.4719089 0.5280911                 Up
170   3.4362216954 0.4019442 0.5980558                 Up
171   2.7608823428 0.4173219 0.5826781                 Up
172   1.4969445788 0.4465161 0.5534839                 Up
173   3.1136831160 0.4092664 0.5907336                 Up
174   2.9071270209 0.4139771 0.5860229                 Up
175  -2.0491976953 0.5297568 0.4702432               Down
176  -2.4955740204 0.5402133 0.4597867               Down
177  -0.0178298964 0.4819784 0.5180216                 Up
178  -0.6213740400 0.4961790 0.5038210                 Up
179  -2.1950066713 0.5331757 0.4668243               Down
180  -0.8531637085 0.5016356 0.4983644               Down
181  -0.8185443179 0.5008206 0.4991794               Down
182  -2.0830158756 0.5305500 0.4694500               Down
183  -0.7466121345 0.4991272 0.5008728                 Up
184  -0.0030774642 0.4816316 0.5183684                 Up
185   0.5586760084 0.4684409 0.5315591                 Up
186   0.8030069619 0.4627163 0.5372837                 Up
187  -1.4789198761 0.5163610 0.4836390               Down
188  -2.2262716647 0.5339084 0.4660916               Down
189  -0.3125076492 0.4889096 0.5110904                 Up
190   0.3686360251 0.4728993 0.5271007                 Up
191  -0.4484145316 0.4921079 0.5078921                 Up
192   1.0878653847 0.4560547 0.5439453                 Up
193   1.4773938414 0.4469711 0.5530289                 Up
194   0.0301735322 0.4808499 0.5191501                 Up
195  -1.3677757056 0.5137468 0.4862532               Down
196  -0.3598800832 0.4900243 0.5099757                 Up
197   0.1965031375 0.4769413 0.5230587                 Up
198  -1.0518892974 0.5063136 0.4936864               Down
199  -0.9522017272 0.5039670 0.4960330               Down
200   1.6138568600 0.4437969 0.5562031                 Up
201   2.4255196595 0.4250204 0.5749796                 Up
202   0.8138451492 0.4624626 0.5375374                 Up
203  -1.7315477683 0.5222992 0.4777008               Down
204  -1.2921432131 0.5119675 0.4880325               Down
205  -1.2188766810 0.5102436 0.4897564               Down
206  -1.7722889260 0.5232563 0.4767437               Down
207  -0.4727112936 0.4926797 0.5073203                 Up
208  -0.0528913604 0.4828028 0.5171972                 Up
209  -0.2306349720 0.4869833 0.5130167                 Up
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211  -1.3164713607 0.5125399 0.4874601               Down
212  -1.0097915973 0.5053227 0.4946773               Down
213  -0.1509280271 0.4851084 0.5148916                 Up
214   0.1999987894 0.4768592 0.5231408                 Up
215  -0.6722949633 0.4973777 0.5026223                 Up
216   0.0440240026 0.4805244 0.5194756                 Up
217   0.7215043948 0.4646248 0.5353752                 Up
218  -0.6493216632 0.4968369 0.5031631                 Up
219  -1.0119526532 0.5053735 0.4946265               Down
220   0.2328369207 0.4760878 0.5239122                 Up
221   1.7078531943 0.4416131 0.5583869                 Up
222   0.0806862669 0.4796627 0.5203373                 Up
223  -0.4325716869 0.4917350 0.5082650                 Up
224   0.6699840977 0.4658318 0.5341682                 Up
225  -0.5989006489 0.4956500 0.5043500                 Up
226  -2.3053109095 0.5357601 0.4642399               Down
227  -0.8356706902 0.5012238 0.4987762               Down
228   0.7054663321 0.4650005 0.5349995                 Up
229   1.5602285054 0.4450438 0.5549562                 Up
230   0.9622654814 0.4589901 0.5410099                 Up
231   0.1151931286 0.4788517 0.5211483                 Up
232   1.1695549430 0.4541471 0.5458529                 Up
233   0.4868039244 0.4701265 0.5298735                 Up
234  -0.9101145178 0.5029763 0.4970237               Down
235  -1.0388068824 0.5060056 0.4939944               Down
236  -0.7903753362 0.5001575 0.4998425               Down
237   0.3653848039 0.4729756 0.5270244                 Up
238   0.0700756483 0.4799120 0.5200880                 Up
239  -0.1841536130 0.4858899 0.5141101                 Up
240  -0.2971519711 0.4885483 0.5114517                 Up
241  -0.7000308283 0.4980306 0.5019694                 Up
242  -0.5673060365 0.4949063 0.5050937                 Up
243   0.6903503218 0.4653547 0.5346453                 Up
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245  -0.9601911542 0.5041551 0.4958449               Down
246  -0.8973840643 0.5026766 0.4973234               Down
247   0.2042823402 0.4767586 0.5232414                 Up
248   0.5824355125 0.4678838 0.5321162                 Up
249   0.5370044710 0.4689490 0.5310510                 Up
250   0.1383998862 0.4783064 0.5216936                 Up
251   0.6639630076 0.4659729 0.5340271                 Up
252   0.9258278788 0.4598423 0.5401577                 Up
253  -0.2164662640 0.4866500 0.5133500                 Up
254   0.9129350404 0.4601438 0.5398562                 Up
255   0.0107451710 0.4813067 0.5186933                 Up
256   0.2832537412 0.4749038 0.5250962                 Up
257   1.0264731554 0.4574891 0.5425109                 Up
258  -0.2495205083 0.4874276 0.5125724                 Up
259  -0.6344963028 0.4964879 0.5035121                 Up
260  -0.2366463012 0.4871247 0.5128753                 Up
261  -0.0279534348 0.4822165 0.5177835                 Up
262   2.1787836274 0.4307080 0.5692920                 Up
263   0.4624752943 0.4706972 0.5293028                 Up
264  -1.6782715360 0.5210474 0.4789526               Down
265  -0.1623519551 0.4853771 0.5146229                 Up
266   2.2102896618 0.4299807 0.5700193                 Up
267   1.4752055193 0.4470220 0.5529780                 Up
268   0.6467308738 0.4663767 0.5336233                 Up
269   0.5188890066 0.4693739 0.5306261                 Up
270  -0.9747968511 0.5044989 0.4955011               Down
271  -1.7800374728 0.5234384 0.4765616               Down
272  -0.3684145123 0.4902252 0.5097748                 Up
273  -0.5596290449 0.4947256 0.5052744                 Up
274  -0.3262419538 0.4892328 0.5107672                 Up
275   0.9239093979 0.4598871 0.5401129                 Up
276   1.9515613801 0.4359620 0.5640380                 Up
277  -0.1292612525 0.4845988 0.5154012                 Up
278   0.5424489379 0.4688214 0.5311786                 Up
279   0.1128805746 0.4789061 0.5210939                 Up
280  -1.7428956255 0.5225658 0.4774342               Down
281  -0.8379446831 0.5012773 0.4987227               Down
282  -0.0277102164 0.4822107 0.5177893                 Up
283   0.1987673695 0.4768881 0.5231119                 Up
284  -1.5736278777 0.5185878 0.4814122               Down
285  -2.5355707640 0.5411486 0.4588514               Down
286  -0.4080580821 0.4911581 0.5088419                 Up
287  -0.7792976419 0.4998967 0.5001033                 Up
288  -0.3378231077 0.4895053 0.5104947                 Up
289  -0.2261038481 0.4868767 0.5131233                 Up
290  -0.5272054735 0.4939624 0.5060376                 Up
291   0.0184481421 0.4811256 0.5188744                 Up
292   0.8587229616 0.4614122 0.5385878                 Up
293   0.5378081803 0.4689302 0.5310698                 Up
294  -0.8136050053 0.5007043 0.4992957               Down
295  -0.4916574119 0.4931257 0.5068743                 Up
296  -0.2787737665 0.4881159 0.5118841                 Up
297   1.0057910318 0.4579725 0.5420275                 Up
298   0.6324365607 0.4667117 0.5332883                 Up
299   0.2545244294 0.4755785 0.5244215                 Up
300   1.3130147460 0.4508004 0.5491996                 Up
301   0.2517451213 0.4756437 0.5243563                 Up
302  -0.6755305349 0.4974539 0.5025461                 Up
303  -0.4332873873 0.4917519 0.5082481                 Up
304  -0.0550665320 0.4828540 0.5171460                 Up
305   0.6851018027 0.4654776 0.5345224                 Up
306   1.1623320374 0.4543157 0.5456843                 Up
307   0.4114953229 0.4718934 0.5281066                 Up
308   0.2081208360 0.4766684 0.5233316                 Up
309  -0.0166718874 0.4819512 0.5180488                 Up
310   0.4014098631 0.4721300 0.5278700                 Up
311  -0.5391185846 0.4942428 0.5057572                 Up
312   1.2641106423 0.4519407 0.5480593                 Up
313   0.6183093954 0.4670429 0.5329571                 Up
314   0.2685096968 0.4752500 0.5247500                 Up
315  -1.4093172695 0.5147240 0.4852760               Down
316  -0.9434575563 0.5037612 0.4962388               Down
317   0.2082474061 0.4766654 0.5233346                 Up
318   0.0246794565 0.4809791 0.5190209                 Up
319   1.1417259846 0.4547968 0.5452032                 Up
320   1.1994213689 0.4534500 0.5465500                 Up
321   0.8339348392 0.4619923 0.5380077                 Up
322   0.4540333152 0.4708952 0.5291048                 Up
323   1.1274468386 0.4551302 0.5448698                 Up
324   1.4229983219 0.4482376 0.5517624                 Up
325  -0.3347892119 0.4894339 0.5105661                 Up
326  -1.1727807601 0.5091588 0.4908412               Down
327  -0.2799375034 0.4881433 0.5118567                 Up
328   0.8635708756 0.4612988 0.5387012                 Up
329   1.9513493001 0.4359669 0.5640331                 Up
330   1.1437908790 0.4547486 0.5452514                 Up
331  -2.6909273851 0.5447789 0.4552211               Down
332  -0.6596184733 0.4970793 0.5029207                 Up
333   1.9603430607 0.4357586 0.5642414                 Up
334  -0.6085922829 0.4958781 0.5041219                 Up
335  -2.4683550873 0.5395766 0.4604234               Down
336  -0.5621707761 0.4947854 0.5052146                 Up
337  -0.2252225340 0.4868560 0.5131440                 Up
338  -0.8799843003 0.5022670 0.4977330               Down
339   0.6522125287 0.4662483 0.5337517                 Up
340   1.4621027783 0.4473270 0.5526730                 Up
341   0.0915451883 0.4794074 0.5205926                 Up
342  -1.0335132701 0.5058810 0.4941190               Down
343   0.4404089660 0.4712149 0.5287851                 Up
344   1.2209587526 0.4529474 0.5470526                 Up
345   0.8923533466 0.4606253 0.5393747                 Up
346   0.5191711077 0.4693673 0.5306327                 Up
347  -0.0392871764 0.4824829 0.5175171                 Up
348   1.7718195055 0.4401283 0.5598717                 Up
349   1.1715422328 0.4541007 0.5458993                 Up
350  -0.6654570133 0.4972167 0.5027833                 Up
351   1.0834589752 0.4561576 0.5438424                 Up
352   1.0538336648 0.4568497 0.5431503                 Up
353  -0.1574488654 0.4852617 0.5147383                 Up
354   1.1163539772 0.4553893 0.5446107                 Up
355   0.2904742221 0.4747343 0.5252657                 Up
356   0.4892814487 0.4700683 0.5299317                 Up
357   0.6703872019 0.4658224 0.5341776                 Up
358  -2.0595304065 0.5299991 0.4700009               Down
359  -1.4170770248 0.5149065 0.4850935               Down
360   1.2121747338 0.4531524 0.5468476                 Up
361   1.7997581721 0.4394802 0.5605198                 Up
362   1.9265339114 0.4365416 0.5634584                 Up
363   0.5330208483 0.4690425 0.5309575                 Up
364   1.0981119427 0.4558153 0.5441847                 Up
365   0.9930164502 0.4582711 0.5417289                 Up
366  -1.1999379854 0.5097979 0.4902021               Down
367  -0.7600858763 0.4994444 0.5005556                 Up
368   1.6625329123 0.4426658 0.5573342                 Up
369   2.6183631491 0.4205888 0.5794112                 Up
370   0.5335229347 0.4690307 0.5309693                 Up
371  -3.0676641629 0.5535618 0.4464382               Down
372  -0.8027201044 0.5004481 0.4995519               Down
373   2.4488775934 0.4244830 0.5755170                 Up
374   3.7384914124 0.3951215 0.6048785                 Up
375   1.0359696457 0.4572672 0.5427328                 Up
376   0.1397669937 0.4782743 0.5217257                 Up
377   0.5929465055 0.4676374 0.5323626                 Up
378   1.5825265218 0.4445253 0.5554747                 Up
379   0.4478474156 0.4710404 0.5289596                 Up
380   1.7830482154 0.4398678 0.5601322                 Up
381   4.1789903268 0.3852521 0.6147479                 Up
382   4.3007144599 0.3825411 0.6174589                 Up
383   3.5988742992 0.3982680 0.6017320                 Up
384  -3.0616943020 0.5534229 0.4465771               Down
385  -2.2682197968 0.5348913 0.4651087               Down
386  -1.0076117493 0.5052713 0.4947287               Down
387  -4.8825027749 0.5953118 0.4046882               Down
388  -2.8628933602 0.5487918 0.4512082               Down
389  -0.9362062586 0.5035905 0.4964095               Down
390   1.7815870494 0.4399017 0.5600983                 Up
391   3.1434677433 0.4085885 0.5914115                 Up
392   3.6870121755 0.3962806 0.6037194                 Up
393  -0.6446806704 0.4967277 0.5032723                 Up
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395  -3.4134186919 0.5615933 0.4384067               Down
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397   0.2428538934 0.4758526 0.5241474                 Up
398   1.8963331902 0.4372412 0.5627588                 Up
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400  -2.7555709100 0.5462881 0.4537119               Down
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403  -0.0503439758 0.4827429 0.5172571                 Up
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406   1.0603804826 0.4566968 0.5433032                 Up
407   0.5023654721 0.4697614 0.5302386                 Up
408   0.6978866278 0.4651781 0.5348219                 Up
409   2.0287938686 0.4341745 0.5658255                 Up
410   0.8643380404 0.4612808 0.5387192                 Up
411   0.1507841061 0.4780154 0.5219846                 Up
412   3.2368380065 0.4064656 0.5935344                 Up
413   0.6345522763 0.4666622 0.5333378                 Up
414   0.3869607487 0.4724692 0.5275308                 Up
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418  -0.3297455109 0.4893152 0.5106848                 Up
419   1.8865904135 0.4374670 0.5625330                 Up
420   0.9238967298 0.4598874 0.5401126                 Up
421  -0.2589308454 0.4876490 0.5123510                 Up
422   1.4295711936 0.4480845 0.5519155                 Up
423   1.2855035427 0.4514418 0.5485582                 Up
424   2.4984849766 0.4233422 0.5766578                 Up
425   1.2345267138 0.4526308 0.5473692                 Up
426   0.9360037722 0.4596043 0.5403957                 Up
427   1.9635276503 0.4356849 0.5643151                 Up
428  -1.0630395983 0.5065760 0.4934240               Down
429  -2.5436909549 0.5413385 0.4586615               Down
430   1.5887528381 0.4443805 0.5556195                 Up
431   2.6291333318 0.4203417 0.5796583                 Up
432  -2.3359887147 0.5364785 0.4635215               Down
433  -0.0941453305 0.4837729 0.5162271                 Up
434   1.9341486263 0.4363652 0.5636348                 Up
435   2.2115523809 0.4299515 0.5700485                 Up
436   2.5068917843 0.4231490 0.5768510                 Up
437  -0.3745041760 0.4903685 0.5096315                 Up
438   1.2743159793 0.4517027 0.5482973                 Up
439  -1.3568665321 0.5134902 0.4865098               Down
440  -4.5975024541 0.5888301 0.4111699               Down
441  -2.3888532822 0.5377162 0.4622838               Down
442  -3.9228444467 0.5733669 0.4266331               Down
443  -0.3994099862 0.4909546 0.5090454                 Up
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445  -1.4915972448 0.5166591 0.4833409               Down
446  -1.5844835703 0.5188430 0.4811570               Down
447  -0.0066908903 0.4817166 0.5182834                 Up
448  -0.0033494828 0.4816380 0.5183620                 Up
449   0.8401673659 0.4618465 0.5381535                 Up
450  -0.5780729160 0.4951597 0.5048403                 Up
451  -0.1777537778 0.4857393 0.5142607                 Up
452   1.0812263642 0.4562097 0.5437903                 Up
453  -0.3018361271 0.4886585 0.5113415                 Up
454  -0.0311578680 0.4822918 0.5177082                 Up
455  -1.0320965539 0.5058477 0.4941523               Down
456  -1.4236675625 0.5150615 0.4849385               Down
457  -0.9677880421 0.5043339 0.4956661               Down
458  -1.0517923317 0.5063113 0.4936887               Down
459   1.3036451474 0.4510188 0.5489812                 Up
460   1.7434177098 0.4407875 0.5592125                 Up
461   1.9859209377 0.4351665 0.5648335                 Up
462   0.3964694991 0.4722460 0.5277540                 Up
463  -0.3223763526 0.4891418 0.5108582                 Up
464  -1.8365565386 0.5247658 0.4752342               Down
465  -1.6202096665 0.5196828 0.4803172               Down
466   0.5030004254 0.4697465 0.5302535                 Up
467   0.7990539951 0.4628088 0.5371912                 Up
468  -1.2748688932 0.5115611 0.4884389               Down
469  -2.5323023593 0.5410722 0.4589278               Down
470  -0.7447660129 0.4990838 0.5009162                 Up
471  -0.0217357535 0.4820703 0.5179297                 Up
472   1.4744476328 0.4470397 0.5529603                 Up
473  -1.1261851774 0.5080622 0.4919378               Down
474  -1.1063908136 0.5075964 0.4924036               Down
475   0.2770562251 0.4750493 0.5249507                 Up
476   1.2104181552 0.4531934 0.5468066                 Up
477   0.9594835134 0.4590552 0.5409448                 Up
478   1.0763237570 0.4563243 0.5436757                 Up
479   0.0961441560 0.4792994 0.5207006                 Up
480   1.3880581082 0.4490514 0.5509486                 Up
481  -0.0074849252 0.4817352 0.5182648                 Up
482  -0.6948506355 0.4979087 0.5020913                 Up
483   0.2606544234 0.4754345 0.5245655                 Up
484   1.1959230571 0.4535316 0.5464684                 Up
485  -1.1433575335 0.5084664 0.4915336               Down
486  -0.4865415124 0.4930052 0.5069948                 Up
487   1.3831076616 0.4491668 0.5508332                 Up
488   1.2072943083 0.4532663 0.5467337                 Up
489  -0.6175784600 0.4960897 0.5039103                 Up
490  -0.7451917069 0.4990938 0.5009062                 Up
491   0.3334823582 0.4737245 0.5262755                 Up
492   0.5006469721 0.4698017 0.5301983                 Up
493   1.3661318967 0.4495623 0.5504377                 Up
494   0.4143358564 0.4718267 0.5281733                 Up
495  -0.2470133796 0.4873686 0.5126314                 Up
496  -2.5307666565 0.5410363 0.4589637               Down
497  -1.5219420414 0.5173726 0.4826274               Down
498  -1.6730962668 0.5209258 0.4790742               Down
499  -0.5581905431 0.4946917 0.5053083                 Up
500   1.3789172043 0.4492644 0.5507356                 Up
501  -0.7992727001 0.5003669 0.4996331               Down
502  -0.9081094755 0.5029291 0.4970709               Down
503   0.1114500645 0.4789397 0.5210603                 Up
504  -0.3700635601 0.4902640 0.5097360                 Up
505   0.8222833425 0.4622650 0.5377350                 Up
506   0.9822563501 0.4585227 0.5414773                 Up
507   1.2512152185 0.4522415 0.5477585                 Up
508   1.8529044447 0.4382477 0.5617523                 Up
509   1.5331838953 0.4456729 0.5543271                 Up
510  -0.2776314071 0.4880890 0.5119110                 Up
511   1.7356133439 0.4409686 0.5590314                 Up
512   2.6037827018 0.4209235 0.5790765                 Up
513  -0.2220335896 0.4867810 0.5132190                 Up
514  -1.1227140455 0.5079805 0.4920195               Down
515   1.4147509176 0.4484297 0.5515703                 Up
516   0.0868689376 0.4795173 0.5204827                 Up
517  -1.0220473914 0.5056111 0.4943889               Down
518   0.8167973329 0.4623935 0.5376065                 Up
519   1.0797636642 0.4562439 0.5437561                 Up
520   0.7489655813 0.4639817 0.5360183                 Up
521   1.0719759129 0.4564259 0.5435741                 Up
522  -0.0930966335 0.4837483 0.5162517                 Up
523   0.2613369689 0.4754185 0.5245815                 Up
524   1.3464135291 0.4500218 0.5499782                 Up
525   0.7232574229 0.4645838 0.5354162                 Up
526  -1.5416650109 0.5178363 0.4821637               Down
527  -2.4798330651 0.5398451 0.4601549               Down
528  -0.3759881671 0.4904034 0.5095966                 Up
529   1.0579282079 0.4567541 0.5432459                 Up
530  -0.5484427683 0.4944623 0.5055377                 Up
531   0.7732920341 0.4634120 0.5365880                 Up
532   0.3259428234 0.4739015 0.5260985                 Up
533   0.6606341817 0.4660509 0.5339491                 Up
534  -0.2665892058 0.4878292 0.5121708                 Up
535  -0.8985222299 0.5027034 0.4972966               Down
536   0.3578405927 0.4731527 0.5268473                 Up
537   1.5221045061 0.4459306 0.5540694                 Up
538   0.0044128579 0.4814555 0.5185445                 Up
539   0.2614886278 0.4754149 0.5245851                 Up
540  -0.1806221464 0.4858068 0.5141932                 Up
541   1.5705890517 0.4448028 0.5551972                 Up
542   1.8534418633 0.4382353 0.5617647                 Up
543   0.0714043555 0.4798808 0.5201192                 Up
544  -2.8064299647 0.5474749 0.4525251               Down
545  -1.7424512139 0.5225554 0.4774446               Down
546  -2.7541355626 0.5462546 0.4537454               Down
547  -1.9841185426 0.5282299 0.4717701               Down
548  -0.8562756172 0.5017089 0.4982911               Down
549  -0.5497488857 0.4944930 0.5055070                 Up
550  -1.8232676106 0.5244537 0.4755463               Down
551   1.5889452355 0.4443760 0.5556240                 Up
552   0.7431092143 0.4641188 0.5358812                 Up
553  -0.1530255940 0.4851577 0.5148423                 Up
554   0.3868469212 0.4724718 0.5275282                 Up
555   0.5193635051 0.4693628 0.5306372                 Up
556   1.6193549687 0.4436691 0.5563309                 Up
557  -0.0787840110 0.4834117 0.5165883                 Up
558  -2.5434472540 0.5413328 0.4586672               Down
559  -0.8427851743 0.5013913 0.4986087               Down
560   0.0351419667 0.4807332 0.5192668                 Up
561  -0.2173303944 0.4866703 0.5133297                 Up
562   0.0875974669 0.4795002 0.5204998                 Up
563   1.1517779678 0.4545621 0.5454379                 Up
564   0.1749815642 0.4774469 0.5225531                 Up
565  -0.0148397206 0.4819081 0.5180919                 Up
566  -1.2939202041 0.5120093 0.4879907               Down
567  -1.3900472601 0.5142707 0.4857293               Down
568   0.6344257926 0.4666651 0.5333349                 Up
569  -0.5950155259 0.4955585 0.5044415                 Up
570  -0.5936665671 0.4955268 0.5044732                 Up
571  -1.5545649503 0.5181396 0.4818604               Down
572  -1.6517833839 0.5204249 0.4795751               Down
573   0.2348405899 0.4760408 0.5239592                 Up
574   1.4417303437 0.4478014 0.5521986                 Up
575  -0.6925169513 0.4978538 0.5021462                 Up
576  -1.0828841279 0.5070431 0.4929569               Down
577  -0.0739953058 0.4832991 0.5167009                 Up
578   0.1032852629 0.4791315 0.5208685                 Up
579  -1.1014074593 0.5074791 0.4925209               Down
580  -0.4157480635 0.4913391 0.5086609                 Up
581  -0.4565734444 0.4922999 0.5077001                 Up
582  -0.0075912437 0.4817377 0.5182623                 Up
583   1.0061493645 0.4579641 0.5420359                 Up
584  -0.6022953021 0.4957299 0.5042701                 Up
585  -1.6157581638 0.5195782 0.4804218               Down
586  -0.3603916088 0.4900364 0.5099636                 Up
587   0.3867339842 0.4724745 0.5275255                 Up
588  -0.4401718036 0.4919139 0.5080861                 Up
589  -0.1765725356 0.4857116 0.5142884                 Up
590   2.0082908310 0.4346488 0.5653512                 Up
591   1.2634623777 0.4519559 0.5480441                 Up
592  -0.2455151865 0.4873334 0.5126666                 Up
593  -0.8764746936 0.5021844 0.4978156               Down
594  -0.5357536966 0.4941636 0.5058364                 Up
595  -1.5444976391 0.5179029 0.4820971               Down
596  -1.0550708191 0.5063884 0.4936116               Down
597   0.2031347354 0.4767855 0.5232145                 Up
598  -0.9299183953 0.5034425 0.4965575               Down
599  -0.9547327325 0.5040266 0.4959734               Down
600  -0.5191027879 0.4937717 0.5062283                 Up
601  -1.3609298504 0.5135858 0.4864142               Down
602  -1.0055329745 0.5052224 0.4947776               Down
603   0.0004084267 0.4815497 0.5184503                 Up
604   1.0243348501 0.4575391 0.5424609                 Up
605  -0.1221725006 0.4844320 0.5155680                 Up
606  -1.3960055909 0.5144109 0.4855891               Down
607  -0.6772194305 0.4974936 0.5025064                 Up
608   0.7062054264 0.4649832 0.5350168                 Up
609  -1.2223331284 0.5103249 0.4896751               Down
610  -1.1177400440 0.5078635 0.4921365               Down
611   0.0792030800 0.4796975 0.5203025                 Up
612   1.2310218699 0.4527126 0.5472874                 Up
613   0.6465504147 0.4663810 0.5336190                 Up
614   1.0254572052 0.4575129 0.5424871                 Up
615   0.5297835820 0.4691184 0.5308816                 Up
616   0.5439629415 0.4687859 0.5312141                 Up
617  -0.4209432625 0.4914613 0.5085387                 Up
618   0.2347938019 0.4760419 0.5239581                 Up
619   0.5964833784 0.4675545 0.5324455                 Up
620  -0.5193165627 0.4937767 0.5062233                 Up
621  -1.2536937144 0.5110629 0.4889371               Down
622   0.0697265940 0.4799202 0.5200798                 Up
623  -1.0510037894 0.5062927 0.4937073               Down
624  -1.1465765649 0.5085421 0.4914579               Down
625   0.2677083256 0.4752689 0.5247311                 Up
626   1.2880300323 0.4513829 0.5486171                 Up
627  -0.0833383680 0.4835188 0.5164812                 Up
628  -0.8784786845 0.5022315 0.4977685               Down
629  -0.0054453548 0.4816873 0.5183127                 Up
630   0.6452562355 0.4664113 0.5335887                 Up
631   1.2434084280 0.4524236 0.5475764                 Up
632  -0.3037988969 0.4887047 0.5112953                 Up
633   0.5551310694 0.4685240 0.5314760                 Up
634  -0.0266415895 0.4821856 0.5178144                 Up
635  -0.4815665458 0.4928882 0.5071118                 Up
636   0.5172798930 0.4694116 0.5305884                 Up
637  -0.9782283705 0.5045797 0.4954203               Down
638  -0.6509625585 0.4968755 0.5031245                 Up
639   0.6566017546 0.4661454 0.5338546                 Up
640   0.4839827519 0.4701926 0.5298074                 Up
641  -0.1264742000 0.4845332 0.5154668                 Up
642   0.6465379939 0.4663813 0.5336187                 Up
643   0.2819355991 0.4749348 0.5250652                 Up
644   1.2131317969 0.4531300 0.5468700                 Up
645   0.7090211927 0.4649173 0.5350827                 Up
646  -0.6252670682 0.4962707 0.5037293                 Up
647  -0.6073929665 0.4958499 0.5041501                 Up
648  -0.3951788769 0.4908550 0.5091450                 Up
649  -0.8927615418 0.5025678 0.4974322               Down
650   0.0191268154 0.4811096 0.5188904                 Up
651  -0.1935961399 0.4861120 0.5138880                 Up
652  -0.3176100764 0.4890297 0.5109703                 Up
653  -0.6959783968 0.4979352 0.5020648                 Up
654  -0.6240087038 0.4962410 0.5037590                 Up
655   0.0370072883 0.4806893 0.5193107                 Up
656  -0.1234996738 0.4844633 0.5155367                 Up
657   0.6353052510 0.4666445 0.5333555                 Up
658   0.4348187288 0.4713461 0.5286539                 Up
659  -0.2559095312 0.4875779 0.5124221                 Up
660  -0.1429130288 0.4849199 0.5150801                 Up
661  -0.4574315253 0.4923201 0.5076799                 Up
662  -0.6715094026 0.4973592 0.5026408                 Up
663  -1.2878061814 0.5118655 0.4881345               Down
664  -0.9653176188 0.5042758 0.4957242               Down
665  -0.3181352352 0.4890420 0.5109580                 Up
666   0.4109228937 0.4719068 0.5280932                 Up
667  -0.4537369440 0.4922331 0.5077669                 Up
668   0.1533769056 0.4779545 0.5220455                 Up
669   1.2971054307 0.4511713 0.5488287                 Up
670   0.1566013431 0.4778787 0.5221213                 Up
671  -0.4155784168 0.4913351 0.5086649                 Up
672   0.1863712114 0.4771793 0.5228207                 Up
673  -0.9008755223 0.5027588 0.4972412               Down
674  -0.4225316420 0.4914987 0.5085013                 Up
675  -0.8464685471 0.5014780 0.4985220               Down
676  -0.3808514089 0.4905178 0.5094822                 Up
677   1.1380610077 0.4548824 0.5451176                 Up
678   0.1578872954 0.4778485 0.5221515                 Up
679   1.1643916121 0.4542676 0.5457324                 Up
680   1.3617904239 0.4496635 0.5503365                 Up
681   0.7738997956 0.4633978 0.5366022                 Up
682  -0.4325476496 0.4917344 0.5082656                 Up
683   0.3428841466 0.4735038 0.5264962                 Up
684  -1.1896464952 0.5095557 0.4904443               Down
685  -1.1968302707 0.5097248 0.4902752               Down
686  -0.8013374337 0.5004155 0.4995845               Down
687  -0.7694390210 0.4996646 0.5003354                 Up
688  -0.5596916434 0.4947270 0.5052730                 Up
689   0.1796497489 0.4773372 0.5226628                 Up
690  -0.1101074090 0.4841483 0.5158517                 Up
691  -0.1715707854 0.4855939 0.5144061                 Up
692  -0.4958978860 0.4932255 0.5067745                 Up
693  -0.6246661604 0.4962565 0.5037435                 Up
694   0.0147868766 0.4812116 0.5187884                 Up
695  -0.1124556169 0.4842035 0.5157965                 Up
696   0.6309008580 0.4667477 0.5332523                 Up
697   0.0963444586 0.4792947 0.5207053                 Up
698  -0.3358014507 0.4894577 0.5105423                 Up
699   1.0776425425 0.4562935 0.5437065                 Up
700   0.4594982690 0.4707670 0.5292330                 Up
701   0.2045937240 0.4767512 0.5232488                 Up
702   0.0625565260 0.4800888 0.5199112                 Up
703  -1.2464624211 0.5108927 0.4891073               Down
704  -0.8057306926 0.5005190 0.4994810               Down
705   0.0301848271 0.4808497 0.5191503                 Up
706  -0.2149587925 0.4866145 0.5133855                 Up
707  -0.7633341159 0.4995209 0.5004791                 Up
708   0.0447886683 0.4805064 0.5194936                 Up
709   0.3650020257 0.4729846 0.5270154                 Up
710  -0.3795143139 0.4904864 0.5095136                 Up
711   0.0714096009 0.4798807 0.5201193                 Up
712   0.6580609041 0.4661112 0.5338888                 Up
713   0.3166841453 0.4741188 0.5258812                 Up
714  -0.8357495072 0.5012256 0.4987744               Down
715  -0.5250385289 0.4939114 0.5060886                 Up
716   0.5865770045 0.4677867 0.5322133                 Up
717   0.8478133800 0.4616675 0.5383325                 Up
718   0.9931891649 0.4582671 0.5417329                 Up
719  -0.1747003602 0.4856675 0.5143325                 Up
720   0.2651246437 0.4753295 0.5246705                 Up
721   0.2820522474 0.4749320 0.5250680                 Up
722  -1.2978598595 0.5121020 0.4878980               Down
723  -0.8895035413 0.5024911 0.4975089               Down
724  -0.4039058642 0.4910604 0.5089396                 Up
725  -0.1809417572 0.4858143 0.5141857                 Up
726  -0.8360666189 0.5012331 0.4987669               Down
727  -0.2778988237 0.4880953 0.5119047                 Up
728   0.2926408451 0.4746834 0.5253166                 Up
729  -0.2668445233 0.4878352 0.5121648                 Up
730   0.3651397298 0.4729813 0.5270187                 Up
731  -0.1899076082 0.4860252 0.5139748                 Up
732   0.3042349887 0.4744111 0.5255889                 Up
733   0.4873016561 0.4701148 0.5298852                 Up
734  -0.8136400159 0.5007052 0.4992948               Down
735  -0.7430692121 0.4990438 0.5009562                 Up
736   0.3055911230 0.4743793 0.5256207                 Up
737  -0.2303350439 0.4869763 0.5130237                 Up
738  -0.4032076691 0.4910439 0.5089561                 Up
739  -0.9475497612 0.5038575 0.4961425               Down
740  -0.5144575147 0.4936623 0.5063377                 Up
741  -0.2700622679 0.4879109 0.5120891                 Up
742  -0.3936789889 0.4908197 0.5091803                 Up
743   0.0089585055 0.4813487 0.5186513                 Up
744  -0.0379332195 0.4824511 0.5175489                 Up
745  -1.0131992401 0.5054029 0.4945971               Down
746  -0.5896238965 0.4954316 0.5045684                 Up
747  -0.1569800947 0.4852507 0.5147493                 Up
748   0.1420744632 0.4782201 0.5217799                 Up
749  -0.7881629767 0.5001054 0.4998946               Down
750  -0.6766513560 0.4974803 0.5025197                 Up
751  -0.2353369549 0.4870939 0.5129061                 Up
752  -0.4821829424 0.4929027 0.5070973                 Up
753   0.4439964990 0.4711307 0.5288693                 Up
754   0.0607883308 0.4801303 0.5198697                 Up
755   0.1825931367 0.4772681 0.5227319                 Up
756  -0.3716780799 0.4903020 0.5096980                 Up
757  -0.4876983955 0.4930325 0.5069675                 Up
758  -0.5787039106 0.4951746 0.5048254                 Up
759  -0.2483052206 0.4873990 0.5126010                 Up
760  -0.5394728842 0.4942511 0.5057489                 Up
761  -0.1181346673 0.4843371 0.5156629                 Up
762   0.3140324587 0.4741811 0.5258189                 Up
763  -0.8132956379 0.5006971 0.4993029               Down
764   0.1762488853 0.4774171 0.5225829                 Up
765   1.4960693142 0.4465364 0.5534636                 Up
766   0.2678646609 0.4752652 0.5247348                 Up
767  -0.0311479462 0.4822916 0.5177084                 Up
768  -0.1476537336 0.4850314 0.5149686                 Up
769  -0.2185501977 0.4866990 0.5133010                 Up
770   0.6061418575 0.4673281 0.5326719                 Up
771   0.2595517510 0.4754604 0.5245396                 Up
772  -1.0323692159 0.5058541 0.4941459               Down
773  -0.3913176304 0.4907641 0.5092359                 Up
774  -0.2544406208 0.4875434 0.5124566                 Up
775  -1.0395225828 0.5060225 0.4939775               Down
776  -0.1282839379 0.4845758 0.5154242                 Up
777   0.6484389695 0.4663367 0.5336633                 Up
778  -0.4763308556 0.4927649 0.5072351                 Up
779  -0.1164694873 0.4842979 0.5157021                 Up
780   0.5277307866 0.4691665 0.5308335                 Up
781   0.3936693824 0.4723117 0.5276883                 Up
782   0.3323347534 0.4737514 0.5262486                 Up
783   0.2596507332 0.4754581 0.5245419                 Up
784  -0.2208494403 0.4867531 0.5132469                 Up
785  -0.2662397434 0.4878210 0.5121790                 Up
786  -0.0483684635 0.4826965 0.5173035                 Up
787  -0.7254259080 0.4986285 0.5013715                 Up
788   0.0008945418 0.4815382 0.5184618                 Up
789   0.1572586389 0.4778633 0.5221367                 Up
790  -0.3271034244 0.4892530 0.5107470                 Up
791  -0.2826588895 0.4882073 0.5117927                 Up
792   0.5556664716 0.4685114 0.5314886                 Up
793   0.8345049303 0.4619790 0.5380210                 Up
794   1.3835316607 0.4491569 0.5508431                 Up
795   1.8452979567 0.4384241 0.5615759                 Up
796  -0.2216387123 0.4867717 0.5132283                 Up
797   0.5040973700 0.4697208 0.5302792                 Up
798   0.2550269983 0.4755667 0.5244333                 Up
799  -1.1490291612 0.5085999 0.4914001               Down
800  -0.4523194981 0.4921998 0.5078002                 Up
801   0.9098382989 0.4602163 0.5397837                 Up
802   1.5113777218 0.4461802 0.5538198                 Up
803   0.7147793818 0.4647824 0.5352176                 Up
804   0.2477565006 0.4757374 0.5242626                 Up
805  -1.1215520034 0.5079532 0.4920468               Down
806  -0.6887421798 0.4977649 0.5022351                 Up
807  -0.9310215503 0.5034684 0.4965316               Down
808  -0.9130077280 0.5030444 0.4969556               Down
809  -0.1324779457 0.4846744 0.5153256                 Up
810  -0.3626243807 0.4900889 0.5099111                 Up
811  -0.8883027773 0.5024628 0.4975372               Down
812  -0.9763283600 0.5045350 0.4954650               Down
813  -0.1981839736 0.4862199 0.5137801                 Up
814   0.6063870924 0.4673223 0.5326777                 Up
815   0.3980369091 0.4722092 0.5277908                 Up
816  -0.3358381561 0.4894586 0.5105414                 Up
817   0.8031231277 0.4627136 0.5372864                 Up
818   0.7373071444 0.4642547 0.5357453                 Up
819   0.0128261232 0.4812577 0.5187423                 Up
820  -0.4097342353 0.4911975 0.5088025                 Up
821  -0.3167987835 0.4890106 0.5109894                 Up
822   1.1318919700 0.4550264 0.5449736                 Up
823   0.3354518210 0.4736782 0.5263218                 Up
824  -1.3115167202 0.5124233 0.4875767               Down
825  -0.7032411502 0.4981062 0.5018938                 Up
826   0.3137288192 0.4741882 0.5258118                 Up
827   0.0424624812 0.4805611 0.5194389                 Up
828   0.9414508990 0.4594769 0.5405231                 Up
829   1.2283435605 0.4527751 0.5472249                 Up
830   0.8100765137 0.4625508 0.5374492                 Up
831  -0.4127668444 0.4912689 0.5087311                 Up
832  -0.5676212926 0.4949137 0.5050863                 Up
833  -0.2158246178 0.4866349 0.5133651                 Up
834   0.4299605715 0.4714601 0.5285399                 Up
835   1.3601479946 0.4497018 0.5502982                 Up
836   1.4487631901 0.4476376 0.5523624                 Up
837  -0.0787220559 0.4834102 0.5165898                 Up
838  -0.4822551409 0.4929044 0.5070956                 Up
839  -0.0156040647 0.4819261 0.5180739                 Up
840   0.0917003977 0.4794038 0.5205962                 Up
841   0.8376989592 0.4619042 0.5380958                 Up
842  -0.0128002366 0.4818602 0.5181398                 Up
843  -0.1218425600 0.4844243 0.5155757                 Up
844   0.0901713879 0.4794397 0.5205603                 Up
845  -0.3208411324 0.4891057 0.5108943                 Up
846  -0.3119313478 0.4888960 0.5111040                 Up
847  -1.2932006315 0.5119924 0.4880076               Down
848  -0.8818697871 0.5023114 0.4976886               Down
849  -0.5058837203 0.4934605 0.5065395                 Up
850  -0.2222659957 0.4867864 0.5132136                 Up
851  -0.0046416455 0.4816684 0.5183316                 Up
852  -0.2726944327 0.4879728 0.5120272                 Up
853   0.4071370746 0.4719956 0.5280044                 Up
854  -0.0432283658 0.4825756 0.5174244                 Up
855  -1.4502062139 0.5156857 0.4843143               Down
856  -0.8631705986 0.5018712 0.4981288               Down
857   0.6511681000 0.4662728 0.5337272                 Up
858   0.1084253606 0.4790108 0.5209892                 Up
859   0.5356618090 0.4689805 0.5310195                 Up
860   0.0162153702 0.4811781 0.5188219                 Up
861  -0.3799892950 0.4904975 0.5095025                 Up
862   0.0408981392 0.4805978 0.5194022                 Up
863  -0.1309097314 0.4846375 0.5153625                 Up
864   0.1962129703 0.4769481 0.5230519                 Up
865  -0.0748665373 0.4833196 0.5166804                 Up
866  -0.8106228955 0.5006341 0.4993659               Down
867  -0.1703784091 0.4855659 0.5144341                 Up
868   0.5574758877 0.4684690 0.5315310                 Up
869   0.3332180840 0.4737307 0.5262693                 Up
870  -0.1404752779 0.4848625 0.5151375                 Up
871  -0.4221790371 0.4914904 0.5085096                 Up
872   0.6019668889 0.4674259 0.5325741                 Up
873   0.7341574044 0.4643285 0.5356715                 Up
874   0.7698046091 0.4634937 0.5365063                 Up
875   0.2446538703 0.4758103 0.5241897                 Up
876   0.5388679370 0.4689053 0.5310947                 Up
877   0.1399174403 0.4782707 0.5217293                 Up
878  -0.2569290319 0.4876019 0.5123981                 Up
879  -0.1139517935 0.4842387 0.5157613                 Up
880   0.2202951532 0.4763824 0.5236176                 Up
881   0.4850428303 0.4701678 0.5298322                 Up
882   0.5696735990 0.4681830 0.5318170                 Up
883   0.2635513449 0.4753665 0.5246335                 Up
884  -0.5088114585 0.4935294 0.5064706                 Up
885   0.6818896252 0.4655529 0.5344471                 Up
886   0.4276948055 0.4715132 0.5284868                 Up
887   0.6112212124 0.4672090 0.5327910                 Up
888   0.6097354401 0.4672438 0.5327562                 Up
889  -0.6544420783 0.4969574 0.5030426                 Up
890  -0.5036098882 0.4934070 0.5065930                 Up
891  -0.3665152315 0.4901805 0.5098195                 Up
892  -0.2989438820 0.4885905 0.5114095                 Up
893  -0.3870936965 0.4906647 0.5093353                 Up
894   0.2689786283 0.4752390 0.5247610                 Up
895   0.3721086046 0.4728178 0.5271822                 Up
896   1.2849755632 0.4514541 0.5485459                 Up
897   1.9445367606 0.4361246 0.5638754                 Up
898   0.6449843778 0.4664177 0.5335823                 Up
899  -1.0318536572 0.5058420 0.4941580               Down
900  -0.3780792018 0.4904526 0.5095474                 Up
901   1.0303500514 0.4573985 0.5426015                 Up
902   0.4426256802 0.4711629 0.5288371                 Up
903  -1.0986645349 0.5074145 0.4925855               Down
904  -0.8048357455 0.5004979 0.4995021               Down
905  -1.0402364275 0.5060393 0.4939607               Down
906  -0.3084786117 0.4888148 0.5111852                 Up
907  -0.3191776473 0.4890665 0.5109335                 Up
908  -0.1183135924 0.4843413 0.5156587                 Up
909   0.0835803676 0.4795946 0.5204054                 Up
910  -0.6227885788 0.4962123 0.5037877                 Up
911  -0.3809640242 0.4905205 0.5094795                 Up
912  -0.1847954201 0.4859050 0.5140950                 Up
913   0.4791052336 0.4703070 0.5296930                 Up
914   0.0206391241 0.4810741 0.5189259                 Up
915  -0.3274984625 0.4892623 0.5107377                 Up
916  -0.9146705697 0.5030835 0.4969165               Down
917  -0.2066796808 0.4864198 0.5135802                 Up
918  -0.3198721311 0.4890829 0.5109171                 Up
919   0.0201599492 0.4810853 0.5189147                 Up
920   0.0731025295 0.4798409 0.5201591                 Up
921  -0.4588283981 0.4923530 0.5076470                 Up
922  -0.3561853410 0.4899374 0.5100626                 Up
923  -0.2435737941 0.4872877 0.5127123                 Up
924   0.4332774591 0.4713822 0.5286178                 Up
925   0.1255155965 0.4786091 0.5213909                 Up
926  -0.4663882588 0.4925309 0.5074691                 Up
927   0.2194195670 0.4764030 0.5235970                 Up
928  -0.2092294036 0.4864798 0.5135202                 Up
929   0.7616627190 0.4636843 0.5363157                 Up
930   1.0144312969 0.4577706 0.5422294                 Up
931   0.1050362745 0.4790904 0.5209096                 Up
932   0.3798782072 0.4726354 0.5273646                 Up
933  -0.1643645809 0.4854244 0.5145756                 Up
934  -0.5975666963 0.4956186 0.5043814                 Up
935  -0.1811440762 0.4858191 0.5141809                 Up
936  -1.1345998903 0.5082603 0.4917397               Down
937  -0.9550984879 0.5040352 0.4959648               Down
938  -0.1016258174 0.4839488 0.5160512                 Up
939  -0.4712944165 0.4926464 0.5073536                 Up
940   0.4459787907 0.4710842 0.5289158                 Up
941   1.0444330887 0.4570694 0.5429306                 Up
942   0.2071407006 0.4766914 0.5233086                 Up
943   0.0819032494 0.4796341 0.5203659                 Up
944   0.6640506949 0.4659709 0.5340291                 Up
945   1.0522087408 0.4568877 0.5431123                 Up
946   0.1058204620 0.4790720 0.5209280                 Up
947  -0.6020527270 0.4957242 0.5042758                 Up
948   0.4908845127 0.4700307 0.5299693                 Up
949   0.4314259314 0.4714257 0.5285743                 Up
950  -0.2073445602 0.4864354 0.5135646                 Up
951   0.6197965408 0.4670080 0.5329920                 Up
952   0.5274333575 0.4691735 0.5308265                 Up
953  -1.0808251221 0.5069946 0.4930054               Down
954  -1.6704920116 0.5208646 0.4791354               Down
955  -0.7386006867 0.4989386 0.5010614                 Up
956  -0.2658719715 0.4878123 0.5121877                 Up
957  -0.1310285571 0.4846403 0.5153597                 Up
958  -0.0109914639 0.4818177 0.5181823                 Up
959  -0.8431945753 0.5014009 0.4985991               Down
960  -1.7445182113 0.5226040 0.4773960               Down
961  -1.0489115423 0.5062435 0.4937565               Down
962  -0.0942041432 0.4837743 0.5162257                 Up
963   0.1095066556 0.4789853 0.5210147                 Up
964   0.1141347451 0.4788766 0.5211234                 Up
965  -0.6355989752 0.4965139 0.5034861                 Up
966  -1.1126075298 0.5077427 0.4922573               Down
967  -0.4014374575 0.4910023 0.5089977                 Up
968   0.5546568926 0.4685351 0.5314649                 Up
969  -0.0811811843 0.4834680 0.5165320                 Up
970  -0.3589886865 0.4900033 0.5099967                 Up
971   0.7852645148 0.4631317 0.5368683                 Up
972   0.0836565992 0.4795928 0.5204072                 Up
973  -0.2540985811 0.4875353 0.5124647                 Up
974  -0.2937553014 0.4884684 0.5115316                 Up
975  -0.2450329436 0.4873220 0.5126780                 Up
976   0.2305201729 0.4761423 0.5238577                 Up
977   0.4721428909 0.4704704 0.5295296                 Up
978  -0.9368829154 0.5036064 0.4963936               Down
979  -0.6332418106 0.4964584 0.5035416                 Up
980  -0.0080246821 0.4817479 0.5182521                 Up
981   0.0295915029 0.4808636 0.5191364                 Up
982   0.8787313356 0.4609440 0.5390560                 Up
983   0.1566090875 0.4778785 0.5221215                 Up
984  -0.6366750248 0.4965392 0.5034608                 Up
985  -0.1726582908 0.4856195 0.5143805                 Up
986  -0.6266190086 0.4963025 0.5036975                 Up
987  -0.7151409498 0.4983864 0.5016136                 Up
988  -0.3266132763 0.4892415 0.5107585                 Up
989   0.0708203097 0.4798945 0.5201055                 Up
990   0.6694841887 0.4658436 0.5341564                 Up
991   0.3286095162 0.4738389 0.5261611                 Up
992  -0.6972545881 0.4979653 0.5020347                 Up
993  -0.6796568597 0.4975510 0.5024490                 Up
994  -0.1910733616 0.4860527 0.5139473                 Up
995   0.3092544050 0.4742933 0.5257067                 Up
996  -0.3334276714 0.4894019 0.5105981                 Up
997  -0.3265686656 0.4892405 0.5107595                 Up
998   0.0019882576 0.4815125 0.5184875                 Up
999   0.1023864436 0.4791527 0.5208473                 Up
1000  0.6823218513 0.4655428 0.5344572                 Up
1001  1.2701655307 0.4517995 0.5482005                 Up
1002  0.8288595173 0.4621111 0.5378889                 Up
1003 -0.0899803702 0.4836750 0.5163250                 Up
1004 -0.0522827083 0.4827885 0.5172115                 Up
1005 -0.1867427012 0.4859508 0.5140492                 Up
1006  0.3053615377 0.4743847 0.5256153                 Up
1007 -0.0092636855 0.4817771 0.5182229                 Up
1008  0.4704578675 0.4705099 0.5294901                 Up
1009 -0.0430201580 0.4825707 0.5174293                 Up
1010 -1.0095128858 0.5053161 0.4946839               Down
1011  0.2676613768 0.4752700 0.5247300                 Up
1012  1.0402835307 0.4571664 0.5428336                 Up
1013  0.8561027351 0.4614735 0.5385265                 Up
1014  0.5736578650 0.4680896 0.5319104                 Up
1015 -0.1317695071 0.4846578 0.5153422                 Up
1016 -0.5498401236 0.4944952 0.5055048                 Up
1017 -0.2541413360 0.4875363 0.5124637                 Up
1018  0.1912834186 0.4770639 0.5229361                 Up
1019 -0.5074184579 0.4934966 0.5065034                 Up
1020 -0.9149471038 0.5030900 0.4969100               Down
1021 -0.5602753675 0.4947408 0.5052592                 Up
1022  0.0646591773 0.4800393 0.5199607                 Up
1023 -0.7003087356 0.4980372 0.5019628                 Up
1024 -0.4325152989 0.4917337 0.5082663                 Up
1025  0.0197381274 0.4810953 0.5189047                 Up
1026  0.6314495716 0.4667349 0.5332651                 Up
1027  0.0900860388 0.4794417 0.5205583                 Up
1028 -0.7178896020 0.4984511 0.5015489                 Up
1029 -0.3744819079 0.4903679 0.5096321                 Up
1030 -0.2779392404 0.4880962 0.5119038                 Up
1031 -0.1642346212 0.4854214 0.5145786                 Up
1032  0.5956269923 0.4675745 0.5324255                 Up
1033  0.3246370277 0.4739321 0.5260679                 Up
1034  1.0698512407 0.4564755 0.5435245                 Up
1035  0.2633163534 0.4753720 0.5246280                 Up
1036 -0.8564488144 0.5017129 0.4982871               Down
1037 -1.0712482808 0.5067692 0.4932308               Down
1038  0.0515274753 0.4803480 0.5196520                 Up
1039 -0.1218050503 0.4844234 0.5155766                 Up
1040 -0.2412861681 0.4872339 0.5127661                 Up
1041 -0.0067582516 0.4817182 0.5182818                 Up
1042 -0.7383219752 0.4989321 0.5010679                 Up
1043 -0.6456649132 0.4967508 0.5032492                 Up
1044  0.2451164306 0.4757994 0.5242006                 Up
1045  1.0018636364 0.4580643 0.5419357                 Up
1046  0.3437214934 0.4734841 0.5265159                 Up
1047  0.4908048915 0.4700326 0.5299674                 Up
1048 -0.0636959103 0.4830569 0.5169431                 Up
1049  0.3092483555 0.4742934 0.5257066                 Up
1050  0.9702412753 0.4588036 0.5411964                 Up
1051  0.2489259654 0.4757100 0.5242900                 Up
1052 -0.0444271133 0.4826038 0.5173962                 Up
1053  0.3999567632 0.4721641 0.5278359                 Up
1054  1.0087406300 0.4579036 0.5420964                 Up
1055  0.4319765006 0.4714128 0.5285872                 Up
1056  0.0436839794 0.4805324 0.5194676                 Up
1057 -0.1351779542 0.4847379 0.5152621                 Up
1058  0.4650127571 0.4706376 0.5293624                 Up
1059 -0.6795141575 0.4975477 0.5024523                 Up
1060 -0.5913106148 0.4954713 0.5045287                 Up
1061  0.5291254819 0.4691338 0.5308662                 Up
1062  0.1041628657 0.4791109 0.5208891                 Up
1063 -0.4628067754 0.4924466 0.5075534                 Up
1064 -0.3779504544 0.4904496 0.5095504                 Up
1065 -0.5539078830 0.4945909 0.5054091                 Up
1066  0.3548251672 0.4732234 0.5267766                 Up
1067  0.3966265641 0.4722423 0.5277577                 Up
1068 -0.4157260426 0.4913386 0.5086614                 Up
1069  0.6334103249 0.4666889 0.5333111                 Up
1070  1.3151530513 0.4507505 0.5492495                 Up
1071  1.7408375783 0.4408474 0.5591526                 Up
1072  0.5694153743 0.4681891 0.5318109                 Up
1073 -0.5824235808 0.4952621 0.5047379                 Up
1074  0.7282777298 0.4644662 0.5355338                 Up
1075 -0.8653054398 0.5019214 0.4980786               Down
1076 -0.4137736770 0.4912926 0.5087074                 Up
1077 -0.3328264420 0.4893877 0.5106123                 Up
1078  0.2660214465 0.4753085 0.5246915                 Up
1079  0.1220022785 0.4786917 0.5213083                 Up
1080  0.6799793712 0.4655976 0.5344024                 Up
1081 -0.3615559146 0.4900638 0.5099362                 Up
1082 -0.9037845429 0.5028273 0.4971727               Down
1083 -0.1470198318 0.4850164 0.5149836                 Up
1084 -0.8989166246 0.5027127 0.4972873               Down
1085 -0.3878373065 0.4906822 0.5093178                 Up
1086  0.2082260286 0.4766659 0.5233341                 Up
1087 -0.4275073383 0.4916158 0.5083842                 Up
1088  0.5144043490 0.4694791 0.5305209                 Up
1089  0.1918772253 0.4770500 0.5229500                 Up
1090  0.5665178095 0.4682570 0.5317430                 Up
1091  0.8235426719 0.4622356 0.5377644                 Up
1092 -0.5432040101 0.4943389 0.5056611                 Up
1093 -0.9969827348 0.5050211 0.4949789               Down
1094 -1.0811950714 0.5070033 0.4929967               Down
1095 -0.8196323058 0.5008462 0.4991538               Down
1096 -0.1003691478 0.4839193 0.5160807                 Up
1097 -0.2155171061 0.4866277 0.5133723                 Up
1098 -0.1901279151 0.4860304 0.5139696                 Up
1099  0.2535712385 0.4756009 0.5243991                 Up
1100 -0.3187555039 0.4890566 0.5109434                 Up
1101 -0.3694919351 0.4902505 0.5097495                 Up
1102  0.4184341108 0.4717305 0.5282695                 Up
1103 -0.3905698266 0.4907465 0.5092535                 Up
1104 -0.5491244232 0.4944783 0.5055217                 Up
1105  0.4436659150 0.4711385 0.5288615                 Up
1106  0.2335825472 0.4760703 0.5239297                 Up
1107 -0.0382095928 0.4824576 0.5175424                 Up
1108  0.1780936337 0.4773738 0.5226262                 Up
1109 -0.2901056525 0.4883825 0.5116175                 Up
1110 -0.0641069198 0.4830665 0.5169335                 Up
1111 -0.0556460623 0.4828676 0.5171324                 Up
1112 -0.2961385200 0.4885244 0.5114756                 Up
1113 -0.2842463039 0.4882446 0.5117554                 Up
1114 -0.3744719861 0.4903677 0.5096323                 Up
1115 -0.5407453642 0.4942811 0.5057189                 Up
1116 -0.1745628169 0.4856643 0.5143357                 Up
1117  0.1933086261 0.4770163 0.5229837                 Up
1118  0.0846094684 0.4795704 0.5204296                 Up
1119  0.8139611542 0.4624599 0.5375401                 Up
1120  1.0920176026 0.4559577 0.5440423                 Up
1121  0.4199577144 0.4716948 0.5283052                 Up
1122 -0.6520940312 0.4969022 0.5030978                 Up
1123 -0.3173358805 0.4890232 0.5109768                 Up
1124  0.6093693630 0.4672524 0.5327476                 Up
1125  0.1414912216 0.4782338 0.5217662                 Up
1126 -0.7863481544 0.5000627 0.4999373               Down
1127  0.2201800389 0.4763851 0.5236149                 Up
1128  0.2119769979 0.4765778 0.5234222                 Up
1129 -0.9944923072 0.5049625 0.4950375               Down
1130 -1.0181078969 0.5055184 0.4944816               Down
1131 -0.4612797821 0.4924107 0.5075893                 Up
1132 -0.1687167797 0.4855268 0.5144732                 Up
1133 -0.2349536942 0.4870849 0.5129151                 Up
1134 -0.2063836249 0.4864128 0.5135872                 Up
1135  0.3686240868 0.4728995 0.5271005                 Up
1136 -0.2442076959 0.4873026 0.5126974                 Up
1137 -0.6723109346 0.4973781 0.5026219                 Up
1138  0.2808708444 0.4749598 0.5250402                 Up
1139 -0.0934702942 0.4837570 0.5162430                 Up
1140  0.0353496919 0.4807283 0.5192717                 Up
1141  0.0513140222 0.4803530 0.5196470                 Up
1142 -0.4225389038 0.4914989 0.5085011                 Up
1143 -0.6341887911 0.4964807 0.5035193                 Up
1144  0.3215413376 0.4740048 0.5259952                 Up
1145  0.2939483357 0.4746527 0.5253473                 Up
1146 -0.5772779160 0.4951410 0.5048590                 Up
1147 -0.3855123317 0.4906275 0.5093725                 Up
1148  0.5276410828 0.4691686 0.5308314                 Up
1149  0.9298820051 0.4597474 0.5402526                 Up
1150  0.5672400419 0.4682401 0.5317599                 Up
1151 -0.3791387976 0.4904775 0.5095225                 Up
1152 -0.1740765409 0.4856529 0.5143471                 Up
1153 -0.4433720429 0.4919892 0.5080108                 Up
1154  0.1256706450 0.4786055 0.5213945                 Up
1155  0.0725851152 0.4798531 0.5201469                 Up
1156  0.7629779540 0.4636535 0.5363465                 Up
1157  0.5033338301 0.4697387 0.5302613                 Up
1158  0.0455846333 0.4804877 0.5195123                 Up
1159  0.0086901983 0.4813550 0.5186450                 Up
1160 -0.1477102825 0.4850327 0.5149673                 Up
1161  0.1831379780 0.4772553 0.5227447                 Up
1162  0.6615353393 0.4660298 0.5339702                 Up
1163  0.1399990780 0.4782688 0.5217312                 Up
1164  0.3505220946 0.4733245 0.5266755                 Up
1165 -0.1638101395 0.4854114 0.5145886                 Up
1166 -0.0344357120 0.4823689 0.5176311                 Up
1167 -0.5912379337 0.4954696 0.5045304                 Up
1168 -0.5373956434 0.4942022 0.5057978                 Up
1169  0.1772298249 0.4773941 0.5226059                 Up
1170 -0.8128150899 0.5006857 0.4993143               Down
1171 -0.7717658515 0.4997194 0.5002806                 Up
1172  0.1780993616 0.4773736 0.5226264                 Up
1173 -0.4192062057 0.4914205 0.5085795                 Up
1174 -0.3139994711 0.4889447 0.5110553                 Up
1175  0.6101825115 0.4672333 0.5327667                 Up
1176  0.6079378013 0.4672860 0.5327140                 Up
1177  0.1243540369 0.4786364 0.5213636                 Up
1178 -0.6442638466 0.4967178 0.5032822                 Up
1179  0.0359798824 0.4807135 0.5192865                 Up
1180  0.8617890473 0.4613405 0.5386595                 Up
1181  1.0649511326 0.4565900 0.5434100                 Up
1182  0.1578871345 0.4778485 0.5221515                 Up
1183 -0.2087123110 0.4864676 0.5135324                 Up
1184 -0.0423357568 0.4825546 0.5174454                 Up
1185 -0.0099487300 0.4817932 0.5182068                 Up
1186 -0.0726275550 0.4832669 0.5167331                 Up
1187 -0.7140492506 0.4983607 0.5016393                 Up
1188 -0.4824633487 0.4929093 0.5070907                 Up
1189  0.0915972216 0.4794062 0.5205938                 Up
1190  0.8402124591 0.4618454 0.5381546                 Up
1191  1.6009380422 0.4440972 0.5559028                 Up
1192  1.0160207278 0.4577334 0.5422666                 Up
1193 -0.0822318234 0.4834928 0.5165072                 Up
1194  0.3731528725 0.4727932 0.5272068                 Up
1195  0.4989506538 0.4698415 0.5301585                 Up
1196  0.5615534081 0.4683734 0.5316266                 Up
1197  0.3442446356 0.4734718 0.5265282                 Up
1198 -0.5876682277 0.4953856 0.5046144                 Up
1199 -0.6093520250 0.4958960 0.5041040                 Up
1200  0.6254673643 0.4668751 0.5331249                 Up
1201 -0.6542258044 0.4969524 0.5030476                 Up
1202  0.4371035341 0.4712925 0.5287075                 Up
1203  0.5968415502 0.4675461 0.5324539                 Up
1204 -1.3366569649 0.5130148 0.4869852               Down
1205 -0.6058817836 0.4958143 0.5041857                 Up
1206  0.4424871719 0.4711661 0.5288339                 Up
1207  1.0007411204 0.4580906 0.5419094                 Up
1208 -0.7543068787 0.4993084 0.5006916                 Up
1209 -1.3177599729 0.5125702 0.4874298               Down
1210 -0.0668986487 0.4831322 0.5168678                 Up
1211 -0.5847830836 0.4953177 0.5046823                 Up
1212 -0.7874787364 0.5000893 0.4999107               Down
1213 -0.2079166677 0.4864489 0.5135511                 Up
1214 -0.1685163163 0.4855221 0.5144779                 Up
1215  0.1627268215 0.4777348 0.5222652                 Up
1216  0.0392758750 0.4806360 0.5193640                 Up
1217 -0.7142788358 0.4983661 0.5016339                 Up
1218 -0.6238802780 0.4962380 0.5037620                 Up
1219 -0.0798159325 0.4834359 0.5165641                 Up
1220  0.3328210293 0.4737400 0.5262600                 Up
1221  0.0505397564 0.4803712 0.5196288                 Up
1222 -0.7916357171 0.5001871 0.4998129               Down
1223 -0.7712385154 0.4997070 0.5002930                 Up
1224 -0.6012123123 0.4957044 0.5042956                 Up
1225 -0.6277923455 0.4963301 0.5036699                 Up
1226 -0.4970089462 0.4932516 0.5067484                 Up
1227 -0.3167792617 0.4890101 0.5109899                 Up
1228  0.5503555149 0.4686360 0.5313640                 Up
1229  0.4038731854 0.4720722 0.5279278                 Up
1230  0.4851049462 0.4701663 0.5298337                 Up
1231 -0.6160533223 0.4960538 0.5039462                 Up
1232 -0.5919466939 0.4954863 0.5045137                 Up
1233  0.1682771245 0.4776044 0.5223956                 Up
1234  0.0189872556 0.4811129 0.5188871                 Up
1235  0.3236230940 0.4739559 0.5260441                 Up
1236  0.3329359828 0.4737373 0.5262627                 Up
1237 -0.1504668400 0.4850975 0.5149025                 Up
1238 -0.1911122444 0.4860536 0.5139464                 Up
1239 -0.4548013771 0.4922582 0.5077418                 Up
1240 -0.5736227000 0.4950550 0.5049450                 Up
1241 -0.0858097564 0.4835769 0.5164231                 Up
1242  0.2868045688 0.4748204 0.5251796                 Up
1243  0.5808693148 0.4679205 0.5320795                 Up
1244  0.2978487866 0.4745611 0.5254389                 Up
1245 -0.1746579269 0.4856665 0.5143335                 Up
1246 -0.4332444715 0.4917508 0.5082492                 Up
1247 -0.2264660530 0.4868852 0.5131148                 Up
1248  0.7072092775 0.4649597 0.5350403                 Up
1249  0.3559697040 0.4731966 0.5268034                 Up
1250  0.1690591346 0.4775860 0.5224140                 Up

# 오분류표
pacman::p_load("DescTools")

# 도수분포표
smarket.ctbl1 <- table(smarket$Direction,           # 실제 클래스
                       pred.smarket$class)          # 예측 클래스
smarket.ctbl1
      
       Down  Up
  Down  114 488
  Up    102 546
Desc(smarket.ctbl1,                                 # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
smarket.ctbl1 (table)

Summary: 
n: 1'250, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 2.0123, df = 1, p-value = 0.156
Fisher's exact test p-value = 0.1548
McNemar's chi-squared = 251.23, df = 1, p-value < 2.2e-16

                    estimate lwr.ci upr.ci'
                                          
odds ratio             1.250  0.932  1.677
rel. risk (col1)       1.203  0.944  1.534
rel. risk (col2)       0.962  0.914  1.012


Contingency Coeff.     0.042
Cramer's V             0.042
Kendall Tau-b          0.042

                                          
                  Down        Up       Sum
                                          
Down   freq        114       488       602
       perc    9.1200%  39.0400%  48.1600%
       p.row  18.9369%  81.0631%         .
       p.col  52.7778%  47.1954%         .
                                          
Up     freq        102       546       648
       perc    8.1600%  43.6800%  51.8400%
       p.row  15.7407%  84.2593%         .
       p.col  47.2222%  52.8046%         .
                                          
Sum    freq        216     1'034     1'250
       perc   17.2800%  82.7200% 100.0000%
       p.row         .         .         .
       p.col         .         .         .
                                          

----------
' 95% conf. level

Result! 원래 “Down”에 속하는 602개의 개체 중 114개(114/602=18.9%)는 제대로 분류되었으나 488개(488/602=81.1%)는 잘못 분류되었다. 또한, 원래 “Up”에 속하는 648개의 개체 중 546개(546/648=84.3%)는 제대로 분류되었으나 102개(102/648=15.7%)는 잘못 분류되었다. 유도된 선형판별함수에 대한 오류율은 (488+102)/1250=47.2%이며, 정확도는 (114+546)/1250=52.8%이다.


5. 이차판별분석(QDA)

# 이차판별분석
pacman::p_load("MASS")

smarket.qda <- qda(Direction ~ Lag1 + Lag2,         # formula : 반응변수(클래스) ~ 예측변수
                   data = smarket)
smarket.qda
Call:
qda(Direction ~ Lag1 + Lag2, data = smarket)

Prior probabilities of groups:
  Down     Up 
0.4816 0.5184 

Group means:
            Lag1        Lag2
Down  0.05068605  0.03229734
Up   -0.03969136 -0.02244444

Caution! 이차판별분석에서는 판별계수벡터를 출력하지 않는다.


# 새로운 개체에 대한 클래스 예측
pred2.smarket <- predict(smarket.qda,               # 함수 qda로부터 출력된 객체
                         smarket)                   # 새로운 데이터
cbind(smarket, pred2.smarket$posterior, pred2.smarket$class)
     Year   Lag1   Lag2   Lag3   Lag4   Lag5  Volume  Today Direction
1    2001  0.381 -0.192 -2.624 -1.055  5.010 1.19130  0.959        Up
2    2001  0.959  0.381 -0.192 -2.624 -1.055 1.29650  1.032        Up
3    2001  1.032  0.959  0.381 -0.192 -2.624 1.41120 -0.623      Down
4    2001 -0.623  1.032  0.959  0.381 -0.192 1.27600  0.614        Up
5    2001  0.614 -0.623  1.032  0.959  0.381 1.20570  0.213        Up
6    2001  0.213  0.614 -0.623  1.032  0.959 1.34910  1.392        Up
7    2001  1.392  0.213  0.614 -0.623  1.032 1.44500 -0.403      Down
8    2001 -0.403  1.392  0.213  0.614 -0.623 1.40780  0.027        Up
9    2001  0.027 -0.403  1.392  0.213  0.614 1.16400  1.303        Up
10   2001  1.303  0.027 -0.403  1.392  0.213 1.23260  0.287        Up
11   2001  0.287  1.303  0.027 -0.403  1.392 1.30900 -0.498      Down
12   2001 -0.498  0.287  1.303  0.027 -0.403 1.25800 -0.189      Down
13   2001 -0.189 -0.498  0.287  1.303  0.027 1.09800  0.680        Up
14   2001  0.680 -0.189 -0.498  0.287  1.303 1.05310  0.701        Up
15   2001  0.701  0.680 -0.189 -0.498  0.287 1.14980 -0.562      Down
16   2001 -0.562  0.701  0.680 -0.189 -0.498 1.29530  0.546        Up
17   2001  0.546 -0.562  0.701  0.680 -0.189 1.11880 -1.747      Down
18   2001 -1.747  0.546 -0.562  0.701  0.680 1.04840  0.359        Up
19   2001  0.359 -1.747  0.546 -0.562  0.701 1.01300 -0.151      Down
20   2001 -0.151  0.359 -1.747  0.546 -0.562 1.05960 -0.841      Down
21   2001 -0.841 -0.151  0.359 -1.747  0.546 1.15830 -0.623      Down
22   2001 -0.623 -0.841 -0.151  0.359 -1.747 1.10720 -1.334      Down
23   2001 -1.334 -0.623 -0.841 -0.151  0.359 1.07550  1.183        Up
24   2001  1.183 -1.334 -0.623 -0.841 -0.151 1.03910 -0.865      Down
25   2001 -0.865  1.183 -1.334 -0.623 -0.841 1.07520 -0.218      Down
26   2001 -0.218 -0.865  1.183 -1.334 -0.623 1.15030  0.812        Up
27   2001  0.812 -0.218 -0.865  1.183 -1.334 1.15370 -1.891      Down
28   2001 -1.891  0.812 -0.218 -0.865  1.183 1.25720 -1.736      Down
29   2001 -1.736 -1.891  0.812 -0.218 -0.865 1.11220 -1.851      Down
30   2001 -1.851 -1.736 -1.891  0.812 -0.218 1.20850 -0.195      Down
31   2001 -0.195 -1.851 -1.736 -1.891  0.812 1.36590 -0.556      Down
32   2001 -0.556 -0.195 -1.851 -1.736 -1.891 1.23130  1.749        Up
33   2001  1.749 -0.556 -0.195 -1.851 -1.736 1.13080 -0.766      Down
34   2001 -0.766  1.749 -0.556 -0.195 -1.851 1.11410 -1.431      Down
35   2001 -1.431 -0.766  1.749 -0.556 -0.195 1.22530  0.104        Up
36   2001  0.104 -1.431 -0.766  1.749 -0.556 1.29490 -0.568      Down
37   2001 -0.568  0.104 -1.431 -0.766  1.749 1.29400  0.586        Up
38   2001  0.586 -0.568  0.104 -1.431 -0.766 0.92920  0.998        Up
39   2001  0.998  0.586 -0.568  0.104 -1.431 1.09180  0.645        Up
40   2001  0.645  0.998  0.586 -0.568  0.104 1.13220  0.226        Up
41   2001  0.226  0.645  0.998  0.586 -0.568 1.11410 -2.476      Down
42   2001 -2.476  0.226  0.645  0.998  0.586 1.08590 -4.318      Down
43   2001 -4.318 -2.476  0.226  0.645  0.998 1.22900  1.483        Up
44   2001  1.483 -4.318 -2.476  0.226  0.645 1.36090 -2.584      Down
45   2001 -2.584  1.483 -4.318 -2.476  0.226 1.39740  0.587        Up
46   2001  0.587 -2.584  1.483 -4.318 -2.476 1.25950 -1.962      Down
47   2001 -1.962  0.587 -2.584  1.483 -4.318 1.54356  1.763        Up
48   2001  1.763 -1.962  0.587 -2.584  1.483 1.12620 -2.408      Down
49   2001 -2.408  1.763 -1.962  0.587 -2.584 1.23590 -1.792      Down
50   2001 -1.792 -2.408  1.763 -1.962  0.587 1.34630 -0.406      Down
51   2001 -0.406 -1.792 -2.408  1.763 -1.962 1.72395  1.991        Up
52   2001  1.991 -0.406 -1.792 -2.408  1.763 1.36490  1.128        Up
53   2001  1.128  1.991 -0.406 -1.792 -2.408 1.11400  2.557        Up
54   2001  2.557  1.128  1.991 -0.406 -1.792 1.31420 -2.443      Down
55   2001 -2.443  2.557  1.128  1.991 -0.406 1.33340 -0.463      Down
56   2001 -0.463 -2.443  2.557  1.128  1.991 1.23450  1.078        Up
57   2001  1.078 -0.463 -2.443  2.557  1.128 1.28080 -1.246      Down
58   2001 -1.246  1.078 -0.463 -2.443  2.557 1.25490 -3.439      Down
59   2001 -3.439 -1.246  1.078 -0.463 -2.443 1.38610 -0.290      Down
60   2001 -0.290 -3.439 -1.246  1.078 -0.463 1.42559  4.368        Up
61   2001  4.368 -0.290 -3.439 -1.246  1.078 1.36800 -1.998      Down
62   2001 -1.998  4.368 -0.290 -3.439 -1.246 1.26680  0.812        Up
63   2001  0.812 -1.998  4.368 -0.290 -3.439 1.06280  2.707        Up
64   2001  2.707  0.812 -1.998  4.368 -0.290 1.34960 -0.213      Down
65   2001 -0.213  2.707  0.812 -1.998  4.368 1.29030  1.510        Up
66   2001  1.510 -0.213  2.707  0.812 -1.998 1.10200 -0.323      Down
67   2001 -0.323  1.510 -0.213  2.707  0.812 0.91390  1.028        Up
68   2001  1.028 -0.323  1.510 -0.213  2.707 1.10960  3.889        Up
69   2001  3.889  1.028 -0.323  1.510 -0.213 1.91890  1.254        Up
70   2001  1.254  3.889  1.028 -0.323  1.510 1.48680 -0.854      Down
71   2001 -0.854  1.254  3.889  1.028 -0.323 1.33870 -1.498      Down
72   2001 -1.498 -0.854  1.254  3.889  1.028 1.01260 -1.216      Down
73   2001 -1.216 -1.498 -0.854  1.254  3.889 1.21650  1.594        Up
74   2001  1.594 -1.216 -1.498 -0.854  1.254 1.20360  0.470        Up
75   2001  0.470  1.594 -1.216 -1.498 -0.854 1.34520  1.501        Up
76   2001  1.501  0.470  1.594 -1.216 -1.498 1.09130 -0.287      Down
77   2001 -0.287  1.501  0.470  1.594 -1.216 1.26680  1.359        Up
78   2001  1.359 -0.287  1.501  0.470  1.594 1.18130  0.078        Up
79   2001  0.078  1.359 -0.287  1.501  0.470 1.34220 -1.487      Down
80   2001 -1.487  0.078  1.359 -0.287  1.501 1.13790  1.444        Up
81   2001  1.444 -1.487  0.078  1.359 -0.287 1.08210 -0.245      Down
82   2001 -0.245  1.444 -1.487  0.078  1.359 0.94900 -0.183      Down
83   2001 -0.183 -0.245  1.444 -1.487  0.078 1.00630 -0.449      Down
84   2001 -0.449 -0.183 -0.245  1.444 -1.487 1.13240 -0.029      Down
85   2001 -0.029 -0.449 -0.183 -0.245  1.444 1.05670 -0.758      Down
86   2001 -0.758 -0.029 -0.449 -0.183 -0.245 0.90620  0.261        Up
87   2001  0.261 -0.758 -0.029 -0.449 -0.183 0.85820  0.042        Up
88   2001  0.042  0.261 -0.758 -0.029 -0.449 1.07180  2.845        Up
89   2001  2.845  0.042  0.261 -0.758 -0.029 1.40530  0.272        Up
90   2001  0.272  2.845  0.042  0.261 -0.758 1.35560  0.269        Up
91   2001  0.269  0.272  2.845  0.042  0.261 1.13080  1.615        Up
92   2001  1.615  0.269  0.272  2.845  0.042 1.17490 -0.263      Down
93   2001 -0.263  1.615  0.269  0.272  2.845 1.26040 -1.553      Down
94   2001 -1.553 -0.263  1.615  0.269  0.272 1.13480  0.320        Up
95   2001  0.320 -1.553 -0.263  1.615  0.269 1.10070 -1.182      Down
96   2001 -1.182  0.320 -1.553 -0.263  1.615 0.82810 -0.779      Down
97   2001 -0.779 -1.182  0.320 -1.553 -0.263 1.02600 -1.566      Down
98   2001 -1.566 -0.779 -1.182  0.320 -1.553 1.15860  0.620        Up
99   2001  0.620 -1.566 -0.779 -1.182  0.320 1.22660  0.386        Up
100  2001  0.386  0.620 -1.566 -0.779 -1.182 1.01500  0.511        Up
101  2001  0.511  0.386  0.620 -1.566 -0.779 0.83650  1.299        Up
102  2001  1.299  0.511  0.386  0.620 -1.566 1.11680 -1.055      Down
103  2001 -1.055  1.299  0.511  0.386  0.620 1.06190  0.546        Up
104  2001  0.546 -1.055  1.299  0.511  0.386 1.08960 -0.940      Down
105  2001 -0.940  0.546 -1.055  1.299  0.511 0.72620 -0.836      Down
106  2001 -0.836 -0.940  0.546 -1.055  1.299 0.87010  0.116        Up
107  2001  0.116 -0.836 -0.940  0.546 -1.055 1.13650 -1.135      Down
108  2001 -1.135  0.116 -0.836 -0.940  0.546 1.06360 -1.750      Down
109  2001 -1.750 -1.135  0.116 -0.836 -0.940 1.24290 -0.452      Down
110  2001 -0.452 -1.750 -1.135  0.116 -0.836 1.63555 -0.488      Down
111  2001 -0.488 -0.452 -1.750 -1.135  0.116 1.11160  0.343        Up
112  2001  0.343 -0.488 -0.452 -1.750 -1.135 1.18490  0.871        Up
113  2001  0.871  0.343 -0.488 -0.452 -1.750 1.35010  1.136        Up
114  2001  1.136  0.871  0.343 -0.488 -0.452 1.54682 -0.945      Down
115  2001 -0.945  1.136  0.871  0.343 -0.488 1.18920 -0.551      Down
116  2001 -0.551 -0.945  1.136  0.871  0.343 1.05010 -0.151      Down
117  2001 -0.151 -0.551 -0.945  1.136  0.871 1.19890 -0.468      Down
118  2001 -0.468 -0.151 -0.551 -0.945  1.136 1.16210  1.249        Up
119  2001  1.249 -0.468 -0.151 -0.551 -0.945 1.32730 -0.148      Down
120  2001 -0.148  1.249 -0.468 -0.151 -0.551 1.83236  1.008        Up
121  2001  1.008 -0.148  1.249 -0.468 -0.151 1.12830 -0.184      Down
122  2001 -0.184  1.008 -0.148  1.249 -0.468 0.62211 -1.232      Down
123  2001 -1.232 -0.184  1.008 -0.148  1.249 0.93490 -2.350      Down
124  2001 -2.350 -1.232 -0.184  1.008 -0.148 1.05670  0.688        Up
125  2001  0.688 -2.350 -1.232 -0.184  1.008 1.04570 -1.440      Down
126  2001 -1.440  0.688 -2.350 -1.232 -0.184 1.26380 -0.113      Down
127  2001 -0.113 -1.440  0.688 -2.350 -1.232 1.38410  2.369        Up
128  2001  2.369 -0.113 -1.440  0.688 -2.350 1.39400  0.624        Up
129  2001  0.624  2.369 -0.113 -1.440  0.688 1.12170 -1.088      Down
130  2001 -1.088  0.624  2.369 -0.113 -1.440 1.03980  0.997        Up
131  2001  0.997 -1.088  0.624  2.369 -0.113 1.23810 -0.554      Down
132  2001 -0.554  0.997 -1.088  0.624  2.369 1.31630  0.605        Up
133  2001  0.605 -0.554  0.997 -1.088  0.624 1.34350 -0.343      Down
134  2001 -0.343  0.605 -0.554  0.997 -1.088 1.17090 -1.637      Down
135  2001 -1.637 -0.343  0.605 -0.554  0.997 0.98690 -1.627      Down
136  2001 -1.627 -1.637 -0.343  0.605 -0.554 1.19870  1.608        Up
137  2001  1.608 -1.627 -1.637 -0.343  0.605 1.28070  1.045        Up
138  2001  1.045  1.608 -1.627 -1.637 -0.343 1.21390  0.240        Up
139  2001  0.240  1.045  1.608 -1.627 -1.637 1.01530 -0.108      Down
140  2001 -0.108  0.240  1.045  1.608 -1.627 0.90910  0.557        Up
141  2001  0.557 -0.108  0.240  1.045  1.608 1.12920  0.388        Up
142  2001  0.388  0.557 -0.108  0.240  1.045 1.34030  0.396        Up
143  2001  0.396  0.388  0.557 -0.108  0.240 1.21830 -0.524      Down
144  2001 -0.524  0.396  0.388  0.557 -0.108 0.93990 -1.142      Down
145  2001 -1.142 -0.524  0.396  0.388  0.557 0.81170  0.327        Up
146  2001  0.327 -1.142 -0.524  0.396  0.388 1.01200 -1.733      Down
147  2001 -1.733  0.327 -1.142 -0.524  0.396 1.12460 -0.008      Down
148  2001 -0.008 -1.733  0.327 -1.142 -0.524 1.10420  0.569        Up
149  2001  0.569 -0.008 -1.733  0.327 -1.142 0.96090  0.095        Up
150  2001  0.095  0.569 -0.008 -1.733  0.327 0.83760 -0.383      Down
151  2001 -0.383  0.095  0.569 -0.008 -1.733 0.96460 -0.734      Down
152  2001 -0.734 -0.383  0.095  0.569 -0.008 1.06560  0.309        Up
153  2001  0.309 -0.734 -0.383  0.095  0.569 1.05540 -1.666      Down
154  2001 -1.666  0.309 -0.734 -0.383  0.095 0.97430  0.812        Up
155  2001  0.812 -1.666  0.309 -0.734 -0.383 0.89710 -1.208      Down
156  2001 -1.208  0.812 -1.666  0.309 -0.734 1.04160  0.696        Up
157  2001  0.696 -1.208  0.812 -1.666  0.309 1.11080 -0.276      Down
158  2001 -0.276  0.696 -1.208  0.812 -1.666 0.98620  1.965        Up
159  2001  1.965 -0.276  0.696 -1.208  0.812 1.04360 -0.483      Down
160  2001 -0.483  1.965 -0.276  0.696 -1.208 0.84260 -1.501      Down
161  2001 -1.501 -0.483  1.965 -0.276  0.696 0.98710 -1.115      Down
162  2001 -1.115 -1.501 -0.483  1.965 -0.276 0.96370 -1.700      Down
163  2001 -1.700 -1.115 -1.501 -0.483  1.965 1.15700  0.403        Up
164  2001  0.403 -1.700 -1.115 -1.501 -0.483 0.92010 -0.056      Down
165  2001 -0.056  0.403 -1.700 -1.115 -1.501 1.17830 -0.106      Down
166  2001 -0.106 -0.056  0.403 -1.700 -1.115 1.38450 -2.239      Down
167  2001 -2.239 -0.106 -0.056  0.403 -1.700 1.35970 -1.864      Down
168  2001 -1.864 -2.239 -0.106 -0.056  0.403 1.42430  0.623        Up
169  2001  0.623 -1.864 -2.239 -0.106 -0.056 1.27660 -4.922      Down
170  2001 -4.922  0.623 -1.864 -2.239 -0.106 2.33083 -0.580      Down
171  2001 -0.580 -4.922  0.623 -1.864 -2.239 1.65041 -1.611      Down
172  2001 -1.611 -0.580 -4.922  0.623 -1.864 2.12055 -3.106      Down
173  2001 -3.106 -1.611 -0.580 -4.922  0.623 2.00480 -1.903      Down
174  2001 -1.903 -3.106 -1.611 -0.580 -4.922 2.31730  3.898        Up
175  2001  3.898 -1.903 -3.106 -1.611 -0.580 1.74660  0.879        Up
176  2001  0.879  3.898 -1.903 -3.106 -1.611 1.61380 -0.517      Down
177  2001 -0.517  0.879  3.898 -1.903 -3.106 1.51910  1.149        Up
178  2001  1.149 -0.517  0.879  3.898 -1.903 1.46700  2.192        Up
179  2001  2.192  1.149 -0.517  0.879  3.898 1.63150 -0.230      Down
180  2001 -0.230  2.192  1.149 -0.517  0.879 1.17560  1.231        Up
181  2001  1.231 -0.230  2.192  1.149 -0.517 1.28980  1.993        Up
182  2001  1.993  1.231 -0.230  2.192  1.149 1.65060 -0.247      Down
183  2001 -0.247  1.993  1.231 -0.230  2.192 1.60910  0.164        Up
184  2001  0.164 -0.247  1.993  1.231 -0.230 1.30170 -0.834      Down
185  2001 -0.834  0.164 -0.247  1.993  1.231 0.97900 -0.536      Down
186  2001 -0.536 -0.834  0.164 -0.247  1.993 1.22780  2.294        Up
187  2001  2.294 -0.536 -0.834  0.164 -0.247 1.31240  1.521        Up
188  2001  1.521  2.294 -0.536 -0.834  0.164 1.70458 -0.527      Down
189  2001 -0.527  1.521  2.294 -0.536 -0.834 1.33140 -0.153      Down
190  2001 -0.153 -0.527  1.521  2.294 -0.536 1.02470  0.694        Up
191  2001  0.694 -0.153 -0.527  1.521  2.294 1.21050 -1.863      Down
192  2001 -1.863  0.694 -0.153 -0.527  1.521 1.45220 -0.787      Down
193  2001 -0.787 -1.863  0.694 -0.153 -0.527 1.26290  0.456        Up
194  2001  0.456 -0.787 -1.863  0.694 -0.153 1.29490  1.530        Up
195  2001  1.530  0.456 -0.787 -1.863  0.694 1.10570 -0.470      Down
196  2001 -0.470  1.530  0.456 -0.787 -1.863 1.31730  0.039        Up
197  2001  0.039 -0.470  1.530  0.456 -0.787 1.33620  1.372        Up
198  2001  1.372  0.039 -0.470  1.530  0.456 1.36440  0.411        Up
199  2001  0.411  1.372  0.039 -0.470  1.530 1.24450 -2.382      Down
200  2001 -2.382  0.411  1.372  0.039 -0.470 1.10610 -1.717      Down
201  2001 -1.717 -2.382  0.411  1.372  0.039 1.29740 -0.001      Down
202  2001 -0.001 -1.717 -2.382  0.411  1.372 1.35250  2.295        Up
203  2001  2.295 -0.001 -1.717 -2.382  0.411 1.31740  0.286        Up
204  2001  0.286  2.295 -0.001 -1.717 -2.382 1.12190  1.439        Up
205  2001  1.439  0.286  2.295 -0.001 -1.717 1.26770  1.453        Up
206  2001  1.453  1.439  0.286  2.295 -0.001 1.35600 -0.273      Down
207  2001 -0.273  1.453  1.439  0.286  2.295 1.41130  0.246        Up
208  2001  0.246 -0.273  1.453  1.439  0.286 1.51750  0.158        Up
209  2001  0.158  0.246 -0.273  1.453  1.439 1.09380 -0.177      Down
210  2001 -0.177  0.158  0.246 -0.273  1.453 0.99160  1.856        Up
211  2001  1.856 -0.177  0.158  0.246 -0.273 1.37010  0.186        Up
212  2001  0.186  1.856 -0.177  0.158  0.246 1.44340  0.090        Up
213  2001  0.090  0.186  1.856 -0.177  0.158 1.45450 -0.314      Down
214  2001 -0.314  0.090  0.186  1.856 -0.177 1.33740  1.090        Up
215  2001  1.090 -0.314  0.090  0.186  1.856 1.31680 -0.730      Down
216  2001 -0.730  1.090 -0.314  0.090  0.186 1.33020 -0.493      Down
217  2001 -0.493 -0.730  1.090 -0.314  0.090 1.02930  1.171        Up
218  2001  1.171 -0.493 -0.730  1.090 -0.314 0.41030  0.615        Up
219  2001  0.615  1.171 -0.493 -0.730  1.090 1.12980 -0.684      Down
220  2001 -0.684  0.615  1.171 -0.493 -0.730 1.28800 -1.825      Down
221  2001 -1.825 -0.684  0.615  1.171 -0.493 1.42370  1.035        Up
222  2001  1.035 -1.825 -0.684  0.615  1.171 1.37570 -0.066      Down
223  2001 -0.066  1.035 -1.825 -0.684  0.615 1.34360 -0.838      Down
224  2001 -0.838 -0.066  1.035 -1.825 -0.684 1.20290  1.319        Up
225  2001  1.319 -0.838 -0.066  1.035 -1.825 1.31850  2.232        Up
226  2001  2.232  1.319 -0.838 -0.066  1.035 1.76530 -0.278      Down
227  2001 -0.278  2.232  1.319 -0.838 -0.066 1.48790 -0.753      Down
228  2001 -0.753 -0.278  2.232  1.319 -0.838 1.24820 -1.587      Down
229  2001 -1.587 -0.753 -0.278  2.232  1.319 1.21870 -0.278      Down
230  2001 -0.278 -1.587 -0.753 -0.278  2.232 1.36720  0.027        Up
231  2001  0.027 -0.278 -1.587 -0.753 -0.278 1.44970 -1.556      Down
232  2001 -1.556  0.027 -0.278 -1.587 -0.753 1.51150  0.331        Up
233  2001  0.331 -1.556  0.027 -0.278 -1.587 1.30680  1.003        Up
234  2001  1.003  0.331 -1.556  0.027 -0.278 1.26040  0.755        Up
235  2001  0.755  1.003  0.331 -1.556  0.027 1.35400  0.581        Up
236  2001  0.581  0.755  1.003  0.331 -1.556 1.48490 -0.838      Down
237  2001 -0.838  0.581  0.755  1.003  0.331 1.49050  0.435        Up
238  2001  0.435 -0.838  0.581  0.755  1.003 1.69400 -0.021      Down
239  2001 -0.021  0.435 -0.838  0.581  0.755 0.43967  0.412        Up
240  2001  0.412 -0.021  0.435 -0.838  0.581 0.79110  0.675        Up
241  2001  0.675  0.412 -0.021  0.435 -0.838 0.87630  0.336        Up
242  2001  0.336  0.675  0.412 -0.021  0.435 0.91740 -1.115      Down
243  2002 -1.115  0.336  0.675  0.412 -0.021 0.94360  0.574        Up
244  2002  0.574 -1.115  0.336  0.675  0.412 1.17100  0.918        Up
245  2002  0.918  0.574 -1.115  0.336  0.675 1.39890  0.621        Up
246  2002  0.621  0.918  0.574 -1.115  0.336 1.51300 -0.650      Down
247  2002 -0.650  0.621  0.918  0.574 -1.115 1.30830 -0.359      Down
248  2002 -0.359 -0.650  0.621  0.918  0.574 1.25880 -0.480      Down
249  2002 -0.480 -0.359 -0.650  0.621  0.918 1.45200  0.122        Up
250  2002  0.122 -0.480 -0.359 -0.650  0.621 1.29900 -0.947      Down
251  2002 -0.947  0.122 -0.480 -0.359 -0.650 1.21190 -0.628      Down
252  2002 -0.628 -0.947  0.122 -0.480 -0.359 1.28640  0.683        Up
253  2002  0.683 -0.628 -0.947  0.122 -0.480 1.38690 -1.625      Down
254  2002 -1.625  0.683 -0.628 -0.947  0.122 1.48250  1.003        Up
255  2002  1.003 -1.625  0.683 -0.628 -0.947 1.38010 -0.992      Down
256  2002 -0.992  1.003 -1.625  0.683 -0.628 1.33330 -0.733      Down
257  2002 -0.733 -0.992  1.003 -1.625  0.683 1.31160  0.792        Up
258  2002  0.792 -0.733 -0.992  1.003 -1.625 1.47920  0.352        Up
259  2002  0.352  0.792 -0.733 -0.992  1.003 1.55280  0.100        Up
260  2002  0.100  0.352  0.792 -0.733 -0.992 1.34510 -0.019      Down
261  2002 -0.019  0.100  0.352  0.792 -0.733 1.18680 -2.861      Down
262  2002 -2.861 -0.019  0.100  0.352  0.792 1.81200  1.175        Up
263  2002  1.175 -2.861 -0.019  0.100  0.352 2.01960  1.493        Up
264  2002  1.493  1.175 -2.861 -0.019  0.100 1.55700 -0.708      Down
265  2002 -0.708  1.493  1.175 -2.861 -0.019 1.36720 -2.474      Down
266  2002 -2.474 -0.708  1.493  1.175 -2.861 1.43760 -0.404      Down
267  2002 -0.404 -2.474 -0.708  1.493  1.175 1.77830 -0.597      Down
268  2002 -0.597 -0.404 -2.474 -0.708  1.493 1.66580 -0.308      Down
269  2002 -0.308 -0.597 -0.404 -2.474 -0.708 1.44160  1.486        Up
270  2002  1.486 -0.308 -0.597 -0.404 -2.474 1.37190  1.434        Up
271  2002  1.434  1.486 -0.308 -0.597 -0.404 1.15940 -0.399      Down
272  2002 -0.399  1.434  1.486 -0.308 -0.597 1.09420  0.994        Up
273  2002  0.994 -0.399  1.434  1.486 -0.308 1.21590 -0.181      Down
274  2002 -0.181  0.994 -0.399  1.434  1.486 1.27250 -1.102      Down
275  2002 -1.102 -0.181  0.994 -0.399  1.434 1.35920 -1.887      Down
276  2002 -1.887 -1.102 -0.181  0.994 -0.399 1.18990  1.351        Up
277  2002  1.351 -1.887 -1.102 -0.181  0.994 1.43890 -1.551      Down
278  2002 -1.551  1.351 -1.887 -1.102 -0.181 1.38160  0.822        Up
279  2002  0.822 -1.551  1.351 -1.887 -1.102 1.41100  1.798        Up
280  2002  1.798  0.822 -1.551  1.351 -1.887 1.36740 -0.005      Down
281  2002 -0.005  1.798  0.822 -1.551  1.351 1.30920  0.046        Up
282  2002  0.046 -0.005  1.798  0.822 -1.551 1.39380 -0.285      Down
283  2002 -0.285  0.046 -0.005  1.798  0.822 1.39220  2.263        Up
284  2002  2.263 -0.285  0.046 -0.005  1.798 1.45650  1.949        Up
285  2002  1.949  2.263 -0.285  0.046 -0.005 1.59430 -0.667      Down
286  2002 -0.667  1.949  2.263 -0.285  0.046 1.54930  1.451        Up
287  2002  1.451 -0.667  1.949  2.263 -0.285 1.54130 -0.450      Down
288  2002 -0.450  1.451 -0.667  1.949  2.263 1.51740  0.585        Up
289  2002  0.585 -0.450  1.451 -0.667  1.949 1.41200  0.339        Up
290  2002  0.339  0.585 -0.450  1.451 -0.667 1.21020 -0.229      Down
291  2002 -0.229  0.339  0.585 -0.450  1.451 1.30440 -0.986      Down
292  2002 -0.986 -0.229  0.339  0.585 -0.450 1.35400 -0.091      Down
293  2002 -0.091 -0.986 -0.229  0.339  0.585 1.20880  1.138        Up
294  2002  1.138 -0.091 -0.986 -0.229  0.339 1.49390 -0.052      Down
295  2002 -0.052  1.138 -0.091 -0.986 -0.229 1.16950  0.407        Up
296  2002  0.407 -0.052  1.138 -0.091 -0.986 1.25500 -1.576      Down
297  2002 -1.576  0.407 -0.052  1.138 -0.091 1.30490  0.151        Up
298  2002  0.151 -1.576  0.407 -0.052  1.138 1.33920 -0.424      Down
299  2002 -0.424  0.151 -1.576  0.407 -0.052 1.24330 -1.465      Down
300  2002 -1.465 -0.424  0.151 -1.576  0.407 1.05790  0.585        Up
301  2002  0.585 -1.465 -0.424  0.151 -1.576 1.22360  0.535        Up
302  2002  0.535  0.585 -1.465 -0.424  0.151 1.18010  0.246        Up
303  2002  0.246  0.535  0.585 -1.465 -0.424 1.14760 -0.074      Down
304  2002 -0.074  0.246  0.535  0.585 -1.465 1.05090 -0.853      Down
305  2002 -0.853 -0.074  0.246  0.535  0.585 1.17670 -0.999      Down
306  2002 -0.999 -0.853 -0.074  0.246  0.535 1.21970  0.084        Up
307  2002  0.084 -0.999 -0.853 -0.074  0.246 1.28380 -0.321      Down
308  2002 -0.321  0.084 -0.999 -0.853 -0.074 1.11020  0.228        Up
309  2002  0.228 -0.321  0.084 -0.999 -0.853 1.09530 -0.666      Down
310  2002 -0.666  0.228 -0.321  0.084 -0.999 1.23540  1.133        Up
311  2002  1.133 -0.666  0.228 -0.321  0.084 1.44790 -2.369      Down
312  2002 -2.369  1.133 -0.666  0.228 -0.321 1.50560  0.663        Up
313  2002  0.663 -2.369  1.133 -0.666  0.228 1.28210 -0.761      Down
314  2002 -0.761  0.663 -2.369  1.133 -0.666 1.12040  2.342        Up
315  2002  2.342 -0.761  0.663 -2.369  1.133 1.34130 -0.204      Down
316  2002 -0.204  2.342 -0.761  0.663 -2.369 1.37690 -0.142      Down
317  2002 -0.142 -0.204  2.342 -0.761  0.663 1.35930  0.062        Up
318  2002  0.062 -0.142 -0.204  2.342 -0.761 1.18500 -1.541      Down
319  2002 -1.541  0.062 -0.142 -0.204  2.342 1.18180 -0.620      Down
320  2002 -0.620 -1.541  0.062 -0.142 -0.204 1.38850 -0.710      Down
321  2002 -0.710 -0.620 -1.541  0.062 -0.142 1.37320 -0.152      Down
322  2002 -0.152 -0.710 -0.620 -1.541  0.062 1.51740 -1.389      Down
323  2002 -1.389 -0.152 -0.710 -0.620 -1.541 1.37420 -1.010      Down
324  2002 -1.010 -1.389 -0.152 -0.710 -0.620 1.31470  1.077        Up
325  2002  1.077 -1.010 -1.389 -0.152 -0.710 1.62860  0.886        Up
326  2002  0.886  1.077 -1.010 -1.389 -0.152 1.45140 -0.175      Down
327  2002 -0.175  0.886  1.077 -1.010 -1.389 1.36400 -1.026      Down
328  2002 -1.026 -0.175  0.886  1.077 -1.010 1.28450 -1.934      Down
329  2002 -1.934 -1.026 -0.175  0.886  1.077 1.12260 -0.302      Down
330  2002 -0.302 -1.934 -1.026 -0.175  0.886 1.35470  3.750        Up
331  2002  3.750 -0.302 -1.934 -1.026 -0.175 1.50200 -1.455      Down
332  2002 -1.455  3.750 -0.302 -1.934 -1.026 1.15300 -1.679      Down
333  2002 -1.679 -1.455  3.750 -0.302 -1.934 1.17190  1.855        Up
334  2002  1.855 -1.679 -1.455  3.750 -0.302 1.08860  2.114        Up
335  2002  2.114  1.855 -1.679 -1.455  3.750 1.41450 -0.566      Down
336  2002 -0.566  2.114  1.855 -1.679 -1.455 1.42020  0.656        Up
337  2002  0.656 -0.566  2.114  1.855 -1.679 1.25660  0.761        Up
338  2002  0.761  0.656 -0.566  2.114  1.855 1.27440 -1.329      Down
339  2002 -1.329  0.761  0.656 -0.566  2.114 0.98980 -1.099      Down
340  2002 -1.099 -1.329  0.761  0.656 -0.566 1.20050  0.569        Up
341  2002  0.569 -1.099 -1.329  0.761  0.656 1.13630  1.018        Up
342  2002  1.018  0.569 -1.099 -1.329  0.761 1.19290 -1.209      Down
343  2002 -1.209  1.018  0.569 -1.099 -1.329 0.88540 -0.855      Down
344  2002 -0.855 -1.209  1.018  0.569 -1.099 0.99650 -0.641      Down
345  2002 -0.641 -0.855 -1.209  1.018  0.569 1.08180 -0.281      Down
346  2002 -0.281 -0.641 -0.855 -1.209  1.018 1.28660  0.233        Up
347  2002  0.233 -0.281 -0.641 -0.855 -1.209 1.27730 -2.480      Down
348  2002 -2.480  0.233 -0.281 -0.641 -0.855 1.32430  0.001        Up
349  2002  0.001 -2.480  0.233 -0.281 -0.641 1.46660  0.885        Up
350  2002  0.885  0.001 -2.480  0.233 -0.281 1.30010 -1.976      Down
351  2002 -1.976  0.885  0.001 -2.480  0.233 1.60150 -0.157      Down
352  2002 -0.157 -1.976  0.885  0.001 -2.480 1.34130  0.312        Up
353  2002  0.312 -0.157 -1.976  0.885  0.001 1.22620 -1.663      Down
354  2002 -1.663  0.312 -0.157 -1.976  0.885 1.21240  0.657        Up
355  2002  0.657 -1.663  0.312 -0.157 -1.976 1.79572 -1.049      Down
356  2002 -1.049  0.657 -1.663  0.312 -0.157 1.40550 -0.227      Down
357  2002 -0.227 -1.049  0.657 -1.663  0.312 1.54900  2.869        Up
358  2002  2.869 -0.227 -1.049  0.657 -1.663 1.23660  0.094        Up
359  2002  0.094  2.869 -0.227 -1.049  0.657 1.19310 -1.654      Down
360  2002 -1.654  0.094  2.869 -0.227 -1.049 1.33610 -1.343      Down
361  2002 -1.343 -1.654  0.094  2.869 -0.227 1.38970 -1.704      Down
362  2002 -1.704 -1.343 -1.654  0.094  2.869 1.49720  0.362        Up
363  2002  0.362 -1.704 -1.343 -1.654  0.094 1.55260 -1.670      Down
364  2002 -1.670  0.362 -1.704 -1.343 -1.654 1.51370 -0.267      Down
365  2002 -0.267 -1.670  0.362 -1.704 -1.343 2.01429  1.758        Up
366  2002  1.758 -0.267 -1.670  0.362 -1.704 1.90860 -0.083      Down
367  2002 -0.083  1.758 -0.267 -1.670  0.362 2.11700 -2.139      Down
368  2002 -2.139 -0.083  1.758 -0.267 -1.670 1.42550 -2.123      Down
369  2002 -2.123 -2.139 -0.083  1.758 -0.267 1.82300  0.622        Up
370  2002  0.622 -2.123 -2.139 -0.083  1.758 1.52780  3.673        Up
371  2002  3.673  0.622 -2.123 -2.139 -0.083 0.69940 -1.218      Down
372  2002 -1.218  3.673  0.622 -2.123 -2.139 1.18440 -2.472      Down
373  2002 -2.472 -1.218  3.673  0.622 -2.123 1.34890 -3.396      Down
374  2002 -3.396 -2.472 -1.218  3.673  0.622 1.81690  0.750        Up
375  2002  0.750 -3.396 -2.472 -1.218  3.673 2.08048 -0.645      Down
376  2002 -0.645  0.750 -3.396 -2.472 -1.218 1.60740 -0.376      Down
377  2002 -0.376 -0.645  0.750 -3.396 -2.472 2.57480 -1.851      Down
378  2002 -1.851 -0.376 -0.645  0.750 -3.396 1.84370  0.566        Up
379  2002  0.566 -1.851 -0.376 -0.645  0.750 2.56650 -2.702      Down
380  2002 -2.702  0.566 -1.851 -0.376 -0.645 1.73630 -3.835      Down
381  2002 -3.835 -2.702  0.566 -1.851 -0.376 2.65410 -3.291      Down
382  2002 -3.291 -3.835 -2.702  0.566 -1.851 2.24806 -2.702      Down
383  2002 -2.702 -3.291 -3.835 -2.702  0.566 2.44102  5.733        Up
384  2002  5.733 -2.702 -3.291 -3.835 -2.702 2.77556 -0.563      Down
385  2002 -0.563  5.733 -2.702 -3.291 -3.835 2.42470  1.688        Up
386  2002  1.688 -0.563  5.733 -2.702 -3.291 1.79610  5.408        Up
387  2002  5.408  1.688 -0.563  5.733 -2.702 1.77865  0.425        Up
388  2002  0.425  5.408  1.688 -0.563  5.733 1.82609  0.979        Up
389  2002  0.979  0.425  5.408  1.688 -0.563 2.04936 -2.957      Down
390  2002 -2.957  0.979  0.425  5.408  1.688 1.67220 -2.308      Down
391  2002 -2.308 -2.957  0.979  0.425  5.408 1.53810 -3.430      Down
392  2002 -3.430 -2.308 -2.957  0.979  0.425 1.42550  2.992        Up
393  2002  2.992 -3.430 -2.308 -2.957  0.979 1.51410  2.001        Up
394  2002  2.001  2.992 -3.430 -2.308 -2.957 1.49040  3.272        Up
395  2002  3.272  2.001  2.992 -3.430 -2.308 1.64670  0.351        Up
396  2002  0.351  3.272  2.001  2.992 -3.430 1.29490 -0.533      Down
397  2002 -0.533  0.351  3.272  2.001  2.992 1.03650 -2.168      Down
398  2002 -2.168 -0.533  0.351  3.272  2.001 1.29770  4.005        Up
399  2002  4.005 -2.168 -0.533  0.351  3.272 1.53380  1.156        Up
400  2002  1.156  4.005 -2.168 -0.533  0.351 1.50510 -0.159      Down
401  2002 -0.159  1.156  4.005 -2.168 -0.533 1.26530  2.361        Up
402  2002  2.361 -0.159  1.156  4.005 -2.168 1.29980 -1.396      Down
403  2002 -1.396  2.361 -0.159  1.156  4.005 1.30850  1.273        Up
404  2002  1.273 -1.396  2.361 -0.159  1.156 1.35310  1.405        Up
405  2002  1.405  1.273 -1.396  2.361 -0.159 1.37300 -2.269      Down
406  2002 -2.269  1.405  1.273 -1.396  2.361 1.07150  0.754        Up
407  2002  0.754 -2.269  1.405  1.273 -1.396 1.01690 -1.385      Down
408  2002 -1.385  0.754 -2.269  1.405  1.273 1.30770 -1.813      Down
409  2002 -1.813 -1.385  0.754 -2.269  1.405 1.14660 -0.008      Down
410  2002 -0.008 -1.813 -1.385  0.754 -2.269 1.27110 -0.188      Down
411  2002 -0.188 -0.008 -1.813 -1.385  0.754 0.92990 -4.154      Down
412  2002 -4.154 -0.188 -0.008 -1.813 -1.385 1.28980  1.752        Up
413  2002  1.752 -4.154 -0.188 -0.008 -1.813 1.37210 -1.595      Down
414  2002 -1.595  1.752 -4.154 -0.188 -0.008 1.40130  1.680        Up
415  2002  1.680 -1.595  1.752 -4.154 -0.188 1.18450  1.011        Up
416  2002  1.011  1.680 -1.595  1.752 -4.154 1.13060  0.733        Up
417  2002  0.733  1.011  1.680 -1.595  1.752 1.18640 -0.014      Down
418  2002 -0.014  0.733  1.011  1.680 -1.595 0.84660 -2.478      Down
419  2002 -2.478 -0.014  0.733  1.011  1.680 1.19160  0.327        Up
420  2002  0.327 -2.478 -0.014  0.733  1.011 1.27100  0.145        Up
421  2002  0.145  0.327 -2.478 -0.014  0.733 1.00140 -1.973      Down
422  2002 -1.973  0.145  0.327 -2.478 -0.014 1.44860 -0.465      Down
423  2002 -0.465 -1.973  0.145  0.327 -2.478 1.50100 -3.006      Down
424  2002 -3.006 -0.465 -1.973  0.145  0.327 1.52400  0.245        Up
425  2002  0.245 -3.006 -0.465 -1.973  0.145 1.79280 -1.383      Down
426  2002 -1.383  0.245 -3.006 -0.465 -1.973 1.38110 -1.728      Down
427  2002 -1.728 -1.383  0.245 -3.006 -0.465 1.67024  2.486        Up
428  2002  2.486 -1.728 -1.383  0.245 -3.006 1.65150  1.821        Up
429  2002  1.821  2.486 -1.728 -1.383  0.245 1.65000 -3.226      Down
430  2002 -3.226  1.821  2.486 -1.728 -1.383 1.50730 -1.461      Down
431  2002 -1.461 -3.226  1.821  2.486 -1.728 1.72187  4.002        Up
432  2002  4.002 -1.461 -3.226  1.821  2.486 1.78090 -2.359      Down
433  2002 -2.359  4.002 -1.461 -3.226  1.821 1.66890 -1.082      Down
434  2002 -1.082 -2.359  4.002 -1.461 -3.226 1.67450 -2.243      Down
435  2002 -2.243 -1.082 -2.359  4.002 -1.461 1.83593 -1.911      Down
436  2002 -1.911 -2.243 -1.082 -2.359  4.002 1.57650  1.690        Up
437  2002  1.690 -1.911 -2.243 -1.082 -2.359 1.93843 -2.729      Down
438  2002 -2.729  1.690 -1.911 -2.243 -1.082 1.88503  3.497        Up
439  2002  3.497 -2.729  1.690 -1.911 -2.243 2.09023  3.906        Up
440  2002  3.906  3.497 -2.729  1.690 -1.911 1.85413  0.733        Up
441  2002  0.733  3.906  3.497 -2.729  1.690 1.20030  4.734        Up
442  2002  4.734  0.733  3.906  3.497 -2.729 1.95600 -2.411      Down
443  2002 -2.411  4.734  0.733  3.906  3.497 1.58500  2.230        Up
444  2002  2.230 -2.411  4.734  0.733  3.906 1.78039  0.590        Up
445  2002  0.590  2.230 -2.411  4.734  0.733 1.42310  1.733        Up
446  2002  1.733  0.590  2.230 -2.411  4.734 1.44700 -1.063      Down
447  2002 -1.063  1.733  0.590  2.230 -2.411 1.54920  0.672        Up
448  2002  0.672 -1.063  1.733  0.590  2.230 1.59390 -1.522      Down
449  2002 -1.522  0.672 -1.063  1.733  0.590 1.70057  1.717        Up
450  2002  1.717 -1.522  0.672 -1.063  1.733 1.34040 -0.827      Down
451  2002 -0.827  1.717 -1.522  0.672 -1.063 1.38260 -0.908      Down
452  2002 -0.908 -0.827  1.717 -1.522  0.672 1.52970  0.970        Up
453  2002  0.970 -0.908 -0.827  1.717 -1.522 1.42230 -0.556      Down
454  2002 -0.556  0.970 -0.908 -0.827  1.717 1.64130  1.716        Up
455  2002  1.716 -0.556  0.970 -0.908 -0.827 1.45040  0.820        Up
456  2002  0.820  1.716 -0.556  0.970 -0.908 1.64590  0.775        Up
457  2002  0.775  0.820  1.716 -0.556  0.970 1.35410  0.914        Up
458  2002  0.914  0.775  0.820  1.716 -0.556 1.67400 -2.285      Down
459  2002 -2.285  0.914  0.775  0.820  1.716 1.46690 -0.876      Down
460  2002 -0.876 -2.285  0.914  0.775  0.820 1.44650 -2.073      Down
461  2002 -2.073 -0.876 -2.285  0.914  0.775 1.11300  0.772        Up
462  2002  0.772 -2.073 -0.876 -2.285  0.914 1.37710 -0.048      Down
463  2002 -0.048  0.772 -2.073 -0.876 -2.285 1.46340  2.463        Up
464  2002  2.463 -0.048  0.772 -2.073 -0.876 1.51900  0.615        Up
465  2002  0.615  2.463 -0.048  0.772 -2.073 1.40010 -1.041      Down
466  2002 -1.041  0.615  2.463 -0.048  0.772 1.28260 -0.402      Down
467  2002 -0.402 -1.041  0.615  2.463 -0.048 1.33740  1.941        Up
468  2002  1.941 -0.402 -1.041  0.615  2.463 1.51730  2.145        Up
469  2002  2.145  1.941 -0.402 -1.041  0.615 2.41510 -0.344      Down
470  2002 -0.344  2.145  1.941 -0.402 -1.041 1.62680  0.249        Up
471  2002  0.249 -0.344  2.145  1.941 -0.402 1.57400 -2.097      Down
472  2002 -2.097  0.249 -0.344  2.145  1.941 1.54360  2.799        Up
473  2002  2.799 -2.097  0.249 -0.344  2.145 1.35030 -0.273      Down
474  2002 -0.273  2.799 -2.097  0.249 -0.344 0.64346 -0.190      Down
475  2002 -0.190 -0.273  2.799 -2.097  0.249 1.61200 -1.475      Down
476  2002 -1.475 -0.190 -0.273  2.799 -2.097 1.48840 -0.344      Down
477  2002 -0.344 -1.475 -0.190 -0.273  2.799 1.58890 -1.202      Down
478  2002 -1.202 -0.344 -1.475 -0.190 -0.273 1.25020  0.627        Up
479  2002  0.627 -1.202 -0.344 -1.475 -0.190 1.24110 -2.218      Down
480  2002 -2.218  0.627 -1.202 -0.344 -1.475 1.32080  1.396        Up
481  2002  1.396 -2.218  0.627 -1.202 -0.344 1.28660  0.056        Up
482  2002  0.056  1.396 -2.218  0.627 -1.202 1.28510 -0.373      Down
483  2002 -0.373  0.056  1.396 -2.218  0.627 1.25530 -1.342      Down
484  2002 -1.342 -0.373  0.056  1.396 -2.218 1.33080  2.352        Up
485  2002  2.352 -1.342 -0.373  0.056  1.396 1.27160 -0.814      Down
486  2002 -0.814  2.352 -1.342 -0.373  0.056 1.25180 -1.315      Down
487  2002 -1.315 -0.814  2.352 -1.342 -0.373 1.44620 -0.771      Down
488  2002 -0.771 -1.315 -0.814  2.352 -1.342 1.38590  1.302        Up
489  2002  1.302 -0.771 -1.315 -0.814  2.352 1.78273  0.181        Up
490  2002  0.181  1.302 -0.771 -1.315 -0.814 1.11210 -0.547      Down
491  2002 -0.547  0.181  1.302 -0.771 -1.315 0.45831 -0.315      Down
492  2002 -0.315 -0.547  0.181  1.302 -0.771 0.72110 -1.603      Down
493  2002 -1.603 -0.315 -0.547  0.181  1.302 0.75840  0.456        Up
494  2002  0.456 -1.603 -0.315 -0.547  0.181 1.05780  0.049        Up
495  2003  0.049  0.456 -1.603 -0.315 -0.547 1.08850  3.320        Up
496  2003  3.320  0.049  0.456 -1.603 -0.315 1.22920 -0.048      Down
497  2003 -0.048  3.320  0.049  0.456 -1.603 1.13080  2.247        Up
498  2003  2.247 -0.048  3.320  0.049  0.456 1.43590 -0.654      Down
499  2003 -0.654  2.247 -0.048  3.320  0.049 1.54520 -1.409      Down
500  2003 -1.409 -0.654  2.247 -0.048  3.320 1.46760  1.939        Up
501  2003  1.939 -1.409 -0.654  2.247 -0.048 1.56030  0.000        Up
502  2003  0.000  1.939 -1.409 -0.654  2.247 1.48540 -0.141      Down
503  2003 -0.141  0.000  1.939 -1.409 -0.654 1.39630  0.583        Up
504  2003  0.583 -0.141  0.000  1.939 -1.409 1.37940 -1.443      Down
505  2003 -1.443  0.583 -0.141  0.000  1.939 1.43210 -0.394      Down
506  2003 -0.394 -1.443  0.583 -0.141  0.000 1.53460 -1.402      Down
507  2003 -1.402 -0.394 -1.443  0.583 -0.141 1.35820 -1.570      Down
508  2003 -1.570 -1.402 -0.394 -1.443  0.583 1.33520 -1.043      Down
509  2003 -1.043 -1.570 -1.402 -0.394 -1.443 1.56080  1.022        Up
510  2003  1.022 -1.043 -1.570 -1.402 -0.394 1.74455 -2.923      Down
511  2003 -2.923  1.022 -1.043 -1.570 -1.402 1.57480 -1.616      Down
512  2003 -1.616 -2.923  1.022 -1.043 -1.570 1.43590  1.305        Up
513  2003  1.305 -1.616 -2.923  1.022 -1.043 1.45910  0.678        Up
514  2003  0.678  1.305 -1.616 -2.923  1.022 1.59540 -2.285      Down
515  2003 -2.285  0.678  1.305 -1.616 -2.923 1.51030  1.313        Up
516  2003  1.313 -2.285  0.678  1.305 -1.616 1.57853  0.540        Up
517  2003  0.540  1.313 -2.285  0.678  1.305 1.25850 -1.409      Down
518  2003 -1.409  0.540  1.313 -2.285  0.678 1.45160 -0.544      Down
519  2003 -0.544 -1.409  0.540  1.313 -2.285 1.45080 -0.645      Down
520  2003 -0.645 -0.544 -1.409  0.540  1.313 1.43090 -1.009      Down
521  2003 -1.009 -0.645 -0.544 -1.409  0.540 1.27680  0.757        Up
522  2003  0.757 -1.009 -0.645 -0.544 -1.409 1.23820 -0.810      Down
523  2003 -0.810  0.757 -1.009 -0.645 -0.544 1.30700 -1.269      Down
524  2003 -1.269 -0.810  0.757 -1.009 -0.645 1.26050 -0.160      Down
525  2003 -0.160 -1.269 -0.810  0.757 -1.009 1.48930  2.143        Up
526  2003  2.143 -0.160 -1.269 -0.810  0.757 1.40460  1.950        Up
527  2003  1.950  2.143 -0.160 -1.269 -0.810 1.25080 -0.710      Down
528  2003 -0.710  1.950  2.143 -0.160 -1.269 1.07560 -0.950      Down
529  2003 -0.950 -0.710  1.950  2.143 -0.160 1.19410  1.322        Up
530  2003  1.322 -0.950 -0.710  1.950  2.143 1.39820 -1.838      Down
531  2003 -1.838  1.322 -0.950 -0.710  1.950 1.22920  0.719        Up
532  2003  0.719 -1.838  1.322 -0.950 -0.710 1.48370 -1.314      Down
533  2003 -1.314  0.719 -1.838  1.322 -0.950 1.37440  1.176        Up
534  2003  1.176 -1.314  0.719 -1.838  1.322 1.28780  0.462        Up
535  2003  0.462  1.176 -1.314  0.719 -1.838 1.37330 -0.754      Down
536  2003 -0.754  0.462  1.176 -1.314  0.719 1.20890 -1.536      Down
537  2003 -1.536 -0.754  0.462  1.176 -1.314 1.25660  0.956        Up
538  2003  0.956 -1.536 -0.754  0.462  1.176 1.33270 -0.934      Down
539  2003 -0.934  0.956 -1.536 -0.754  0.462 1.29920  0.826        Up
540  2003  0.826 -0.934  0.956 -1.536 -0.754 1.36850 -2.583      Down
541  2003 -2.583  0.826 -0.934  0.956 -1.536 1.25500 -0.836      Down
542  2003 -0.836 -2.583  0.826 -0.934  0.956 1.42770  0.432        Up
543  2003  0.432 -0.836 -2.583  0.826 -0.934 1.62000  3.446        Up
544  2003  3.446  0.432 -0.836 -2.583  0.826 1.81630  0.165        Up
545  2003  0.165  3.446  0.432 -0.836 -2.583 1.54190  3.543        Up
546  2003  3.543  0.165  3.446  0.432 -0.836 1.70042  0.424        Up
547  2003  0.424  3.543  0.165  3.446  0.432 1.55510  0.874        Up
548  2003  0.874  0.424  3.543  0.165  3.446 1.47340  0.189        Up
549  2003  0.189  0.874  0.424  3.543  0.165 1.43910  2.298        Up
550  2003  2.298  0.189  0.874  0.424  3.543 1.88371 -3.523      Down
551  2003 -3.523  2.298  0.189  0.874  0.424 1.29300  1.216        Up
552  2003  1.216 -3.523  2.298  0.189  0.874 1.33340 -0.548      Down
553  2003 -0.548  1.216 -3.523  2.298  0.189 1.31970 -0.164      Down
554  2003 -0.164 -0.548  1.216 -3.523  2.298 1.23290 -0.578      Down
555  2003 -0.578 -0.164 -0.548  1.216 -3.523 1.22700 -1.774      Down
556  2003 -1.774 -0.578 -0.164 -0.548  1.216 1.49550  1.214        Up
557  2003  1.214 -1.774 -0.578 -0.164 -0.548 1.46160  2.612        Up
558  2003  2.612  1.214 -1.774 -0.578 -0.164 1.58980 -0.505      Down
559  2003 -0.505  2.612  1.214 -1.774 -0.578 1.33950  0.274        Up
560  2003  0.274 -0.505  2.612  1.214 -1.774 1.24120  0.123        Up
561  2003  0.123  0.274 -0.505  2.612  1.214 1.49400 -0.186      Down
562  2003 -0.186  0.123  0.274 -0.505  2.612 1.23540 -1.400      Down
563  2003 -1.400 -0.186  0.123  0.274 -0.505 1.29370  0.646        Up
564  2003  0.646 -1.400 -0.186  0.123  0.274 1.27530 -0.376      Down
565  2003 -0.376  0.646 -1.400 -0.186  0.123 1.14160  1.950        Up
566  2003  1.950 -0.376  0.646 -1.400 -0.186 1.13100  0.630        Up
567  2003  0.630  1.950 -0.376  0.646 -1.400 1.46020 -1.224      Down
568  2003 -1.224  0.630  1.950 -0.376  0.646 1.58760  1.554        Up
569  2003  1.554 -1.224  0.630  1.950 -0.376 1.43060 -0.176      Down
570  2003 -0.176  1.554 -1.224  0.630  1.950 1.11870  2.170        Up
571  2003  2.170 -0.176  1.554 -1.224  0.630 1.63120  0.839        Up
572  2003  0.839  2.170 -0.176  1.554 -1.224 1.66720 -0.826      Down
573  2003 -0.826  0.839  2.170 -0.176  1.554 1.64810 -1.385      Down
574  2003 -1.385 -0.826  0.839  2.170 -0.176 1.33580  1.783        Up
575  2003  1.783 -1.385 -0.826  0.839  2.170 1.27300  0.328        Up
576  2003  0.328  1.783 -1.385 -0.826  0.839 1.52560 -0.100      Down
577  2003 -0.100  0.328  1.783 -1.385 -0.826 1.78851 -0.068      Down
578  2003 -0.068 -0.100  0.328  1.783 -1.385 1.39750  1.504        Up
579  2003  1.504 -0.068 -0.100  0.328  1.783 1.55430 -0.380      Down
580  2003 -0.380  1.504 -0.068 -0.100  0.328 1.44630  0.846        Up
581  2003  0.846 -0.380  1.504 -0.068 -0.100 1.64960 -0.510      Down
582  2003 -0.510  0.846 -0.380  1.504 -0.068 1.53190 -1.006      Down
583  2003 -1.006 -0.510  0.846 -0.380  1.504 1.37960  1.428        Up
584  2003  1.428 -1.006 -0.510  0.846 -0.380 1.32610  1.253        Up
585  2003  1.253  1.428 -1.006 -0.510  0.846 1.37880 -0.297      Down
586  2003 -0.297  1.253  1.428 -1.006 -0.510 1.41810 -0.320      Down
587  2003 -0.320 -0.297  1.253  1.428 -1.006 1.40180  0.787        Up
588  2003  0.787 -0.320 -0.297  1.253  1.428 1.50870 -0.250      Down
589  2003 -0.250  0.787 -0.320 -0.297  1.253 1.50550 -2.492      Down
590  2003 -2.492 -0.250  0.787 -0.320 -0.297 1.37570 -0.113      Down
591  2003 -0.113 -2.492 -0.250  0.787 -0.320 1.50530  0.401        Up
592  2003  0.401 -0.113 -2.492 -0.250  0.787 1.45780  0.915        Up
593  2003  0.915  0.401 -0.113 -2.492 -0.250 1.44850  0.145        Up
594  2003  0.145  0.915  0.401 -0.113 -2.492 1.20100  1.957        Up
595  2003  1.957  0.145  0.915  0.401 -0.113 1.53200  0.183        Up
596  2003  0.183  1.957  0.145  0.915  0.401 1.55900 -0.376      Down
597  2003 -0.376  0.183  1.957  0.145  0.915 1.68580  1.469        Up
598  2003  1.469 -0.376  0.183  1.957  0.145 1.68880  0.354        Up
599  2003  0.354  1.469 -0.376  0.183  1.957 1.66250  0.472        Up
600  2003  0.472  0.354  1.469 -0.376  0.183 1.45020  1.511        Up
601  2003  1.511  0.472  0.354  1.469 -0.376 1.61870  0.395        Up
602  2003  0.395  1.511  0.472  0.354  1.469 1.69310 -0.240      Down
603  2003 -0.240  0.395  1.511  0.472  0.354 1.83720 -1.198      Down
604  2003 -1.198 -0.240  0.395  1.511  0.472 1.30700  0.913        Up
605  2003  0.913 -1.198 -0.240  0.395  1.511 1.27540  1.283        Up
606  2003  1.283  0.913 -1.198 -0.240  0.395 1.52000  0.103        Up
607  2003  0.103  1.283  0.913 -1.198 -0.240 1.55310 -0.991      Down
608  2003 -0.991  0.103  1.283  0.913 -1.198 1.27160  2.238        Up
609  2003  2.238 -0.991  0.103  1.283  0.913 1.34590  0.091        Up
610  2003  0.091  2.238 -0.991  0.103  1.283 1.47970 -0.155      Down
611  2003 -0.155  0.091  2.238 -0.991  0.103 1.48890 -1.524      Down
612  2003 -1.524 -0.155  0.091  2.238 -0.991 1.53010  0.100        Up
613  2003  0.100 -1.524 -0.155  0.091  2.238 1.69800 -1.411      Down
614  2003 -1.411  0.100 -1.524 -0.155  0.091 1.39810  0.184        Up
615  2003  0.184 -1.411  0.100 -1.524 -0.155 1.38830 -0.827      Down
616  2003 -0.827  0.184 -1.411  0.100 -1.524 1.45920  1.077        Up
617  2003  1.077 -0.827  0.184 -1.411  0.100 1.38740 -0.974      Down
618  2003 -0.974  1.077 -0.827  0.184 -1.411 1.26780 -0.176      Down
619  2003 -0.176 -0.974  1.077 -0.827  0.184 1.58720  0.802        Up
620  2003  0.802 -0.176 -0.974  1.077 -0.827 1.46020  1.164        Up
621  2003  1.164  0.802 -0.176 -0.974  1.077 1.51930 -0.810      Down
622  2003 -0.810  1.164  0.802 -0.176 -0.974 0.77590  1.899        Up
623  2003  1.899 -0.810  1.164  0.802 -0.176 1.42910  0.340        Up
624  2003  0.340  1.899 -0.810  1.164  0.802 1.56570 -0.559      Down
625  2003 -0.559  0.340  1.899 -0.810  1.164 1.61800 -1.348      Down
626  2003 -1.348 -0.559  0.340  1.899 -0.810 1.46570  0.955        Up
627  2003  0.955 -1.348 -0.559  0.340  1.899 1.21270  0.573        Up
628  2003  0.573  0.955 -1.348 -0.559  0.340 1.44890 -0.343      Down
629  2003 -0.343  0.573  0.955 -1.348 -0.559 1.51860 -0.633      Down
630  2003 -0.633 -0.343  0.573  0.955 -1.348 1.66200 -1.243      Down
631  2003 -1.243 -0.633 -0.343  0.573  0.955 1.66140  1.181        Up
632  2003  1.181 -1.243 -0.633 -0.343  0.573 1.36520 -1.462      Down
633  2003 -1.462  1.181 -1.243 -0.633 -0.343 1.25420  0.951        Up
634  2003  0.951 -1.462  1.181 -1.243 -0.633 1.43970  0.051        Up
635  2003  0.051  0.951 -1.462  1.181 -1.243 1.36270 -0.709      Down
636  2003 -0.709  0.051  0.951 -1.462  1.181 1.55900  1.740        Up
637  2003  1.740 -0.709  0.051  0.951 -1.462 1.39750 -0.216      Down
638  2003 -0.216  1.740 -0.709  0.051  0.951 1.32860 -0.727      Down
639  2003 -0.727 -0.216  1.740 -0.709  0.051 1.50890 -0.181      Down
640  2003 -0.181 -0.727 -0.216  1.740 -0.709 1.39190  0.286        Up
641  2003  0.286 -0.181 -0.727 -0.216  1.740 1.60800 -1.026      Down
642  2003 -1.026  0.286 -0.181 -0.727 -0.216 1.39060  0.272        Up
643  2003  0.272 -1.026  0.286 -0.181 -0.727 1.31870 -1.766      Down
644  2003 -1.766  0.272 -1.026  0.286 -0.181 1.35170  0.168        Up
645  2003  0.168 -1.766  0.272 -1.026  0.286 1.49100  0.728        Up
646  2003  0.728  0.168 -1.766  0.272 -1.026 1.38930  0.356        Up
647  2003  0.356  0.728  0.168 -1.766  0.272 1.08660  0.307        Up
648  2003  0.307  0.356  0.728  0.168 -1.766 1.02220  0.995        Up
649  2003  0.995  0.307  0.356  0.728  0.168 1.13230 -0.638      Down
650  2003 -0.638  0.995  0.307  0.356  0.728 1.20880  0.659        Up
651  2003  0.659 -0.638  0.995  0.307  0.356 1.18680  0.016        Up
652  2003  0.016  0.659 -0.638  0.995  0.307 0.63637  0.916        Up
653  2003  0.916  0.016  0.659 -0.638  0.995 1.12760  0.261        Up
654  2003  0.261  0.916  0.016  0.659 -0.638 1.30060 -0.205      Down
655  2003 -0.205  0.261  0.916  0.016  0.659 1.21080  0.297        Up
656  2003  0.297 -0.205  0.261  0.916  0.016 1.40710 -1.018      Down
657  2003 -1.018  0.297 -0.205  0.261  0.916 1.30890  0.065        Up
658  2003  0.065 -1.018  0.297 -0.205  0.261 0.97170  0.304        Up
659  2003  0.304  0.065 -1.018  0.297 -0.205 1.17870  0.006        Up
660  2003  0.006  0.304  0.065 -1.018  0.297 1.05140  0.607        Up
661  2003  0.607  0.006  0.304  0.065 -1.018 1.16520  0.516        Up
662  2003  0.516  0.607  0.006  0.304  0.065 0.94510  1.387        Up
663  2003  1.387  0.516  0.607  0.006  0.304 1.47050  0.419        Up
664  2003  0.419  1.387  0.516  0.607  0.006 1.67560  0.166        Up
665  2003  0.166  0.419  1.387  0.516  0.607 1.45390 -0.640      Down
666  2003 -0.640  0.166  0.419  1.387  0.516 1.46520  1.004        Up
667  2003  1.004 -0.640  0.166  0.419  1.387 1.29930 -0.821      Down
668  2003 -0.821  1.004 -0.640  0.166  0.419 1.41480 -1.197      Down
669  2003 -1.197 -0.821  1.004 -0.640  0.166 1.58210  0.544        Up
670  2003  0.544 -1.197 -0.821  1.004 -0.640 1.33590  0.217        Up
671  2003  0.217  0.544 -1.197 -0.821  1.004 1.23670 -0.375      Down
672  2003 -0.375  0.217  0.544 -1.197 -0.821 1.15130  1.430        Up
673  2003  1.430 -0.375  0.217  0.544 -1.197 1.40320 -0.325      Down
674  2003 -0.325  1.430 -0.375  0.217  0.544 1.33821  1.327        Up
675  2003  1.327 -0.325  1.430 -0.375  0.217 1.49880 -0.316      Down
676  2003 -0.316  1.327 -0.325  1.430 -0.375 1.51860 -1.301      Down
677  2003 -1.301 -0.316  1.327 -0.325  1.430 1.27880  0.607        Up
678  2003  0.607 -1.301 -0.316  1.327 -0.325 1.30170 -1.910      Down
679  2003 -1.910  0.607 -1.301 -0.316  1.327 1.55600 -0.605      Down
680  2003 -0.605 -1.910  0.607 -1.301 -0.316 1.53000 -0.640      Down
681  2003 -0.640 -0.605 -1.910  0.607 -1.301 1.47250  0.976        Up
682  2003  0.976 -0.640 -0.605 -1.910  0.607 1.36650 -1.054      Down
683  2003 -1.054  0.976 -0.640 -0.605 -1.910 1.59050  2.234        Up
684  2003  2.234 -1.054  0.976 -0.640 -0.605 1.56630  0.198        Up
685  2003  0.198  2.234 -1.054  0.976 -0.640 1.26930  0.942        Up
686  2003  0.942  0.198  2.234 -1.054  0.976 1.57050  0.437        Up
687  2003  0.437  0.942  0.198  2.234 -1.054 1.02580  0.474        Up
688  2003  0.474  0.437  0.942  0.198  2.234 1.27950 -0.526      Down
689  2003 -0.526  0.474  0.437  0.942  0.198 1.26250  0.479        Up
690  2003  0.479 -0.526  0.474  0.437  0.942 1.57870 -0.065      Down
691  2003 -0.065  0.479 -0.526  0.474  0.437 1.10810  0.702        Up
692  2003  0.702 -0.065  0.479 -0.526  0.474 1.04050  0.395        Up
693  2003  0.395  0.702 -0.065  0.479 -0.526 1.27190 -0.259      Down
694  2003 -0.259  0.395  0.702 -0.065  0.479 1.52110  0.316        Up
695  2003  0.316 -0.259  0.395  0.702 -0.065 1.41770 -1.024      Down
696  2003 -1.024  0.316 -0.259  0.395  0.702 1.35200  0.516        Up
697  2003  0.516 -1.024  0.316 -0.259  0.395 1.17260  0.129        Up
698  2003  0.129  0.516 -1.024  0.316 -0.259 1.49800 -1.498      Down
699  2003 -1.498  0.129  0.516 -1.024  0.316 1.64720  0.331        Up
700  2003  0.331 -1.498  0.129  0.516 -1.024 1.60430 -0.470      Down
701  2003 -0.470  0.331 -1.498  0.129  0.516 1.42030  0.216        Up
702  2003  0.216 -0.470  0.331 -1.498  0.129 1.37180  1.519        Up
703  2003  1.519  0.216 -0.470  0.331 -1.498 1.62920  0.126        Up
704  2003  0.126  1.519  0.216 -0.470  0.331 1.56260 -0.112      Down
705  2003 -0.112  0.126  1.519  0.216 -0.470 1.62970  0.360        Up
706  2003  0.360 -0.112  0.126  1.519  0.216 1.49890  0.791        Up
707  2003  0.791  0.360 -0.112  0.126  1.519 1.37820 -0.545      Down
708  2003 -0.545  0.791  0.360 -0.112  0.126 1.41760 -0.137      Down
709  2003 -0.137 -0.545  0.791  0.360 -0.112 1.40180  0.593        Up
710  2003  0.593 -0.137 -0.545  0.791  0.360 1.45390 -0.457      Down
711  2003 -0.457  0.593 -0.137 -0.545  0.791 1.44050 -0.579      Down
712  2003 -0.579 -0.457  0.593 -0.137 -0.545 1.24360 -0.052      Down
713  2003 -0.052 -0.579 -0.457  0.593 -0.137 1.16250  1.143        Up
714  2003  1.143 -0.052 -0.579 -0.457  0.593 1.34930 -0.011      Down
715  2003 -0.011  1.143 -0.052 -0.579 -0.457 1.38300 -0.762      Down
716  2003 -0.762 -0.011  1.143 -0.052 -0.579 1.35610 -0.640      Down
717  2003 -0.640 -0.762 -0.011  1.143 -0.052 1.37430 -0.908      Down
718  2003 -0.908 -0.640 -0.762 -0.011  1.143 1.35430  0.802        Up
719  2003  0.802 -0.908 -0.640 -0.762 -0.011 1.32620 -0.843      Down
720  2003 -0.843  0.802 -0.908 -0.640 -0.762 1.32670  0.158        Up
721  2003  0.158 -0.843  0.802 -0.908 -0.640 1.27380  1.623        Up
722  2003  1.623  0.158 -0.843  0.802 -0.908 1.30280  0.172        Up
723  2003  0.172  1.623  0.158 -0.843  0.802 1.33370  0.433        Up
724  2003  0.433  0.172  1.623  0.158 -0.843 1.09770 -0.024      Down
725  2003 -0.024  0.433  0.172  1.623  0.158 0.48722  1.126        Up
726  2003  1.126 -0.024  0.433  0.172  1.623 1.37500 -0.327      Down
727  2003 -0.327  1.126 -0.024  0.433  0.172 1.38320 -0.177      Down
728  2003 -0.177 -0.327  1.126 -0.024  0.433 1.44170  0.469        Up
729  2003  0.469 -0.177 -0.327  1.126 -0.024 1.46310 -0.768      Down
730  2003 -0.768  0.469 -0.177 -0.327  1.126 1.26590  0.735        Up
731  2003  0.735 -0.768  0.469 -0.177 -0.327 1.21890 -0.853      Down
732  2003 -0.853  0.735 -0.768  0.469 -0.177 1.46550 -0.107      Down
733  2003 -0.107 -0.853  0.735 -0.768  0.469 1.44400  1.148        Up
734  2003  1.148 -0.107 -0.853  0.735 -0.768 1.44110  0.274        Up
735  2003  0.274  1.148 -0.107 -0.853  0.735 1.22310 -0.568      Down
736  2003 -0.568  0.274  1.148 -0.107 -0.853 1.52080  0.664        Up
737  2003  0.664 -0.568  0.274  1.148 -0.107 1.54790  0.126        Up
738  2003  0.126  0.664 -0.568  0.274  1.148 1.44170  1.180        Up
739  2003  1.180  0.126  0.664 -0.568  0.274 1.57990 -0.048      Down
740  2003 -0.048  1.180  0.126  0.664 -0.568 1.65730  0.393        Up
741  2003  0.393 -0.048  1.180  0.126  0.664 1.25170  0.282        Up
742  2003  0.282  0.393 -0.048  1.180  0.126 1.14530 -0.181      Down
743  2003 -0.181  0.282  0.393 -0.048  1.180 0.51806  0.169        Up
744  2003  0.169 -0.181  0.282  0.393 -0.048 0.35607  1.240        Up
745  2003  1.240  0.169 -0.181  0.282  0.393 1.05880  0.014        Up
746  2003  0.014  1.240  0.169 -0.181  0.282 1.01260  0.205        Up
747  2004  0.205  0.014  1.240  0.169 -0.181 1.02750 -0.309      Down
748  2004 -0.309  0.205  0.014  1.240  0.169 1.15320  1.240        Up
749  2004  1.240 -0.309  0.205  0.014  1.240 1.57820  0.129        Up
750  2004  0.129  1.240 -0.309  0.205  0.014 1.49450  0.237        Up
751  2004  0.237  0.129  1.240 -0.309  0.205 1.70490  0.496        Up
752  2004  0.496  0.237  0.129  1.240 -0.309 1.86840 -0.889      Down
753  2004 -0.889  0.496  0.237  0.129  1.240 1.72070  0.479        Up
754  2004  0.479 -0.889  0.496  0.237  0.129 1.51020 -0.533      Down
755  2004 -0.533  0.479 -0.889  0.496  0.237 1.59590  0.829        Up
756  2004  0.829 -0.533  0.479 -0.889  0.496 1.51460  0.135        Up
757  2004  0.135  0.829 -0.533  0.479 -0.889 1.69500  0.687        Up
758  2004  0.687  0.135  0.829 -0.533  0.479 1.72110 -0.093      Down
759  2004 -0.093  0.687  0.135  0.829 -0.533 1.69820  0.777        Up
760  2004  0.777 -0.093  0.687  0.135  0.829 1.75760 -0.321      Down
761  2004 -0.321  0.777 -0.093  0.687  0.135 1.69370 -0.209      Down
762  2004 -0.209 -0.321  0.777 -0.093  0.687 1.56120  1.211        Up
763  2004  1.211 -0.209 -0.321  0.777 -0.093 1.48060 -0.980      Down
764  2004 -0.980  1.211 -0.209 -0.321  0.777 1.67310 -1.361      Down
765  2004 -1.361 -0.980  1.211 -0.209 -0.321 1.84200  0.499        Up
766  2004  0.499 -1.361 -0.980  1.211 -0.209 1.92190 -0.263      Down
767  2004 -0.263  0.499 -1.361 -0.980  1.211 1.63500  0.365        Up
768  2004  0.365 -0.263  0.499 -1.361 -0.980 1.59920  0.068        Up
769  2004  0.068  0.365 -0.263  0.499 -1.361 1.47690 -0.837      Down
770  2004 -0.837  0.068  0.365 -0.263  0.499 1.63480  0.184        Up
771  2004  0.184 -0.837  0.068  0.365 -0.263 1.56660  1.256        Up
772  2004  1.256  0.184 -0.837  0.068  0.365 1.47760 -0.258      Down
773  2004 -0.258  1.256  0.184 -0.837  0.068 1.30350  0.503        Up
774  2004  0.503 -0.258  1.256  0.184 -0.837 1.40390  1.067        Up
775  2004  1.067  0.503 -0.258  1.256  0.184 1.69930 -0.488      Down
776  2004 -0.488  1.067  0.503 -0.258  1.256 1.46430 -0.547      Down
777  2004 -0.547 -0.488  1.067  0.503 -0.258 1.32920  0.976        Up
778  2004  0.976 -0.547 -0.488  1.067  0.503 1.39650 -0.447      Down
779  2004 -0.447  0.976 -0.547 -0.488  1.067 1.38240 -0.413      Down
780  2004 -0.413 -0.447  0.976 -0.547 -0.488 1.56280 -0.257      Down
781  2004 -0.257 -0.413 -0.447  0.976 -0.547 1.47960 -0.273      Down
782  2004 -0.273 -0.257 -0.413 -0.447  0.976 1.38040 -0.167      Down
783  2004 -0.167 -0.273 -0.257 -0.413 -0.447 1.54360  0.402        Up
784  2004  0.402 -0.167 -0.273 -0.257 -0.413 1.36070  0.108        Up
785  2004  0.108  0.402 -0.167 -0.273 -0.257 1.38390  0.003        Up
786  2004  0.003  0.108  0.402 -0.167 -0.273 1.54040  0.963        Up
787  2004  0.963  0.003  0.108  0.402 -0.167 1.49710 -0.594      Down
788  2004 -0.594  0.963  0.003  0.108  0.402 1.47600  0.168        Up
789  2004  0.168 -0.594  0.963  0.003  0.108 1.33450  0.334        Up
790  2004  0.334  0.168 -0.594  0.963  0.003 1.26580  0.172        Up
791  2004  0.172  0.334  0.168 -0.594  0.963 1.39820 -0.835      Down
792  2004 -0.835  0.172  0.334  0.168 -0.594 1.25440 -0.577      Down
793  2004 -0.577 -0.835  0.172  0.334  0.168 1.49940 -1.463      Down
794  2004 -1.463 -0.577 -0.835  0.172  0.334 1.64840 -1.522      Down
795  2004 -1.522 -1.463 -0.577 -0.835  0.172 1.88990  1.246        Up
796  2004  1.246 -1.522 -1.463 -0.577 -0.835 1.38850 -1.435      Down
797  2004 -1.435  1.246 -1.522 -1.463 -0.577 1.60060  0.562        Up
798  2004  0.562 -1.435  1.246 -1.522 -1.463 1.50070  1.175        Up
799  2004  1.175  0.562 -1.435  1.246 -1.522 1.49010 -0.127      Down
800  2004 -0.127  1.175  0.562 -1.435  1.246 1.36920 -1.117      Down
801  2004 -1.117 -0.127  1.175  0.562 -1.435 1.45740 -1.296      Down
802  2004 -1.296 -1.117 -0.127  1.175  0.562 1.45230 -0.132      Down
803  2004 -0.132 -1.296 -1.117 -0.127  1.175 1.45820 -0.239      Down
804  2004 -0.239 -0.132 -1.296 -1.117 -0.127 1.52780  1.637        Up
805  2004  1.637 -0.239 -0.132 -1.296 -1.117 1.47170 -0.102      Down
806  2004 -0.102  1.637 -0.239 -0.132 -1.296 1.31910  1.300        Up
807  2004  1.300 -0.102  1.637 -0.239 -0.132 1.40550  0.404        Up
808  2004  0.404  1.300 -0.102  1.637 -0.239 1.33240 -0.070      Down
809  2004 -0.070  0.404  1.300 -0.102  1.637 1.56070  0.529        Up
810  2004  0.529 -0.070  0.404  1.300 -0.102 1.56070  0.851        Up
811  2004  0.851  0.529 -0.070  0.404  1.300 1.62920  0.767        Up
812  2004  0.767  0.851  0.529 -0.070  0.404 1.41370 -0.209      Down
813  2004 -0.209  0.767  0.851  0.529 -0.070 1.39770 -0.665      Down
814  2004 -0.665 -0.209  0.767  0.851  0.529 1.45880 -0.106      Down
815  2004 -0.106 -0.665 -0.209  0.767  0.851 1.19980  0.516        Up
816  2004  0.516 -0.106 -0.665 -0.209  0.767 1.10240 -1.376      Down
817  2004 -1.376  0.516 -0.106 -0.665 -0.209 1.42320 -0.112      Down
818  2004 -0.112 -1.376  0.516 -0.106 -0.665 1.54770  0.059        Up
819  2004  0.059 -0.112 -1.376  0.516 -0.106 1.56870  0.511        Up
820  2004  0.511  0.059 -0.112 -1.376  0.516 1.48780  0.107        Up
821  2004  0.107  0.511  0.059 -0.112 -1.376 1.19490 -1.556      Down
822  2004 -1.556  0.107  0.511  0.059 -0.112 1.50850  0.531        Up
823  2004  0.531 -1.556  0.107  0.511  0.059 1.73810  1.409        Up
824  2004  1.409  0.531 -1.556  0.107  0.511 1.82670  0.059        Up
825  2004  0.059  1.409  0.531 -1.556  0.107 1.39610 -0.445      Down
826  2004 -0.445  0.059  1.409  0.531 -1.556 1.29060  0.227        Up
827  2004  0.227 -0.445  0.059  1.409  0.531 1.51800 -1.379      Down
828  2004 -1.379  0.227 -0.445  0.059  1.409 1.85560 -0.759      Down
829  2004 -0.759 -1.379  0.227 -0.445  0.059 1.85900 -0.592      Down
830  2004 -0.592 -0.759 -1.379  0.227 -0.445 1.63470  0.920        Up
831  2004  0.920 -0.592 -0.759 -1.379  0.227 1.57160  0.184        Up
832  2004  0.184  0.920 -0.592 -0.759 -1.379 1.66210  0.177        Up
833  2004  0.177  0.184  0.920 -0.592 -0.759 1.46900 -0.672      Down
834  2004 -0.672  0.177  0.184  0.920 -0.592 1.50930 -1.373      Down
835  2004 -1.373 -0.672  0.177  0.184  0.920 1.65360 -1.054      Down
836  2004 -1.054 -1.373 -0.672  0.177  0.184 1.91840  0.766        Up
837  2004  0.766 -1.054 -1.373 -0.672  0.177 1.53380  0.167        Up
838  2004  0.167  0.766 -1.054 -1.373 -0.672 1.69760 -0.077      Down
839  2004 -0.077  0.167  0.766 -1.054 -1.373 1.41110 -0.067      Down
840  2004 -0.067 -0.077  0.167  0.766 -1.054 1.33590 -1.059      Down
841  2004 -1.059 -0.067 -0.077  0.167  0.766 1.43010  0.682        Up
842  2004  0.682 -1.059 -0.067 -0.077  0.167 1.35300 -0.257      Down
843  2004 -0.257  0.682 -1.059 -0.067 -0.077 1.54860  0.047        Up
844  2004  0.047 -0.257  0.682 -1.059 -0.067 1.21100  0.401        Up
845  2004  0.401  0.047 -0.257  0.682 -1.059 1.25860  0.169        Up
846  2004  0.169  0.401  0.047 -0.257  0.682 1.22750  1.610        Up
847  2004  1.610  0.169  0.401  0.047 -0.257 1.54570  0.170        Up
848  2004  0.170  1.610  0.169  0.401  0.047 1.36940  0.569        Up
849  2004  0.569  0.170  1.610  0.169  0.401 1.44750 -0.054      Down
850  2004 -0.054  0.569  0.170  1.610  0.169 1.17260  0.046        Up
851  2004  0.046 -0.054  0.569  0.170  1.610 1.23800  0.338        Up
852  2004  0.338  0.046 -0.054  0.569  0.170 1.25170 -0.742      Down
853  2004 -0.742  0.338  0.046 -0.054  0.569 1.23240  0.525        Up
854  2004  0.525 -0.742  0.338  0.046 -0.054 1.11530  1.596        Up
855  2004  1.596  0.525 -0.742  0.338  0.046 1.21180  0.154        Up
856  2004  0.154  1.596  0.525 -0.742  0.338 1.19030 -0.950      Down
857  2004 -0.950  0.154  1.596  0.525 -0.742 1.27680  0.454        Up
858  2004  0.454 -0.950  0.154  1.596  0.525 1.16060 -0.984      Down
859  2004 -0.984  0.454 -0.950  0.154  1.596 1.17940  0.597        Up
860  2004  0.597 -0.984  0.454 -0.950  0.154 1.34590  0.137        Up
861  2004  0.137  0.597 -0.984  0.454 -0.950 1.16840 -0.133      Down
862  2004 -0.133  0.137  0.597 -0.984  0.454 1.29670  0.262        Up
863  2004  0.262 -0.133  0.137  0.597 -0.984 1.50060 -0.416      Down
864  2004 -0.416  0.262 -0.133  0.137  0.597 1.12390  0.364        Up
865  2004  0.364 -0.416  0.262 -0.133  0.137 1.38230  0.851        Up
866  2004  0.851  0.364 -0.416  0.262 -0.133 1.44420 -0.298      Down
867  2004 -0.298  0.851  0.364 -0.416  0.262 1.39490 -0.545      Down
868  2004 -0.545 -0.298  0.851  0.364 -0.416 1.81290 -0.095      Down
869  2004 -0.095 -0.545 -0.298  0.851  0.364 1.35460  0.251        Up
870  2004  0.251 -0.095 -0.545 -0.298  0.851 1.37500  0.408        Up
871  2004  0.408  0.251 -0.095 -0.545 -0.298 1.47380 -1.043      Down
872  2004 -1.043  0.408  0.251 -0.095 -0.545 1.49570 -0.315      Down
873  2004 -0.315 -1.043  0.408  0.251 -0.095 1.08500 -0.815      Down
874  2004 -0.815 -0.315 -1.043  0.408  0.251 1.28330  0.190        Up
875  2004  0.190 -0.815 -0.315 -1.043  0.408 1.32860 -0.824      Down
876  2004 -0.824  0.190 -0.815 -0.315 -1.043 1.40110  0.334        Up
877  2004  0.334 -0.824  0.190 -0.815 -0.315 1.18630  0.138        Up
878  2004  0.138  0.334 -0.824  0.190 -0.815 1.11460  0.071        Up
879  2004  0.071  0.138  0.334 -0.824  0.190 1.19970 -0.329      Down
880  2004 -0.329  0.071  0.138  0.334 -0.824 1.46200 -0.430      Down
881  2004 -0.430 -0.329  0.071  0.138  0.334 1.40870 -0.479      Down
882  2004 -0.479 -0.430 -0.329  0.071  0.138 1.45030 -0.044      Down
883  2004 -0.044 -0.479 -0.430 -0.329  0.071 1.31990  0.706        Up
884  2004  0.706 -0.044 -0.479 -0.430 -0.329 1.44580 -1.334      Down
885  2004 -1.334  0.706 -0.044 -0.479 -0.430 1.67950  0.271        Up
886  2004  0.271 -1.334  0.706 -0.044 -0.479 1.68080 -0.970      Down
887  2004 -0.970  0.271 -1.334  0.706 -0.044 1.33750 -0.196      Down
888  2004 -0.196 -0.970  0.271 -1.334  0.706 1.41340  0.993        Up
889  2004  0.993 -0.196 -0.970  0.271 -1.334 1.61080  0.054        Up
890  2004  0.054  0.993 -0.196 -0.970  0.271 1.55430  0.457        Up
891  2004  0.457  0.054  0.993 -0.196 -0.970 1.53010  0.117        Up
892  2004  0.117  0.457  0.054  0.993 -0.196 1.29820  0.445        Up
893  2004  0.445  0.117  0.457  0.054  0.993 1.27600 -0.626      Down
894  2004 -0.626  0.445  0.117  0.457  0.054 1.33830 -0.096      Down
895  2004 -0.096 -0.626  0.445  0.117  0.457 1.36920 -1.632      Down
896  2004 -1.632 -0.096 -0.626  0.445  0.117 1.39740 -1.548      Down
897  2004 -1.548 -1.632 -0.096 -0.626  0.445 1.52100  0.117        Up
898  2004  0.117 -1.548 -1.632 -0.096 -0.626 1.08600  1.297        Up
899  2004  1.297  0.117 -1.548 -1.632 -0.096 1.24560 -0.301      Down
900  2004 -0.301  1.297  0.117 -1.548 -1.632 1.41040 -1.168      Down
901  2004 -1.168 -0.301  1.297  0.117 -1.548 1.40510  0.148        Up
902  2004  0.148 -1.168 -0.301  1.297  0.117 1.17510  1.366        Up
903  2004  1.366  0.148 -1.168 -0.301  1.297 1.20620  0.220        Up
904  2004  0.220  1.366  0.148 -1.168 -0.301 1.26780  1.244        Up
905  2004  1.244  0.220  1.366  0.148 -1.168 1.28250 -0.360      Down
906  2004 -0.360  1.244  0.220  1.366  0.148 1.24940  0.652        Up
907  2004  0.652 -0.360  1.244  0.220  1.366 1.19990 -0.243      Down
908  2004 -0.243  0.652 -0.360  1.244  0.220 1.02190  0.047        Up
909  2004  0.047 -0.243  0.652 -0.360  1.244 1.09250  0.800        Up
910  2004  0.800  0.047 -0.243  0.652 -0.360 1.19220  0.012        Up
911  2004  0.012  0.800  0.047 -0.243  0.652 1.02360  0.243        Up
912  2004  0.243  0.012  0.800  0.047 -0.243 0.84540 -0.778      Down
913  2004 -0.778  0.243  0.012  0.800  0.047 0.84310  0.463        Up
914  2004  0.463 -0.778  0.243  0.012  0.800 1.13820  0.151        Up
915  2004  0.151  0.463 -0.778  0.243  0.012 1.14210  1.121        Up
916  2004  1.121  0.151  0.463 -0.778  0.243 1.11840 -0.418      Down
917  2004 -0.418  1.121  0.151  0.463 -0.778 0.92417  0.689        Up
918  2004  0.689 -0.418  1.121  0.151  0.463 1.21440 -0.449      Down
919  2004 -0.449  0.689 -0.418  1.121  0.151 1.24630  0.189        Up
920  2004  0.189 -0.449  0.689 -0.418  1.121 1.37130  0.495        Up
921  2004  0.495  0.189 -0.449  0.689 -0.418 1.26120  0.169        Up
922  2004  0.169  0.495  0.189 -0.449  0.689 1.29980  0.223        Up
923  2004  0.223  0.169  0.495  0.189 -0.449 1.20450 -0.705      Down
924  2004 -0.705  0.223  0.169  0.495  0.189 1.25600  0.279        Up
925  2004  0.279 -0.705  0.223  0.169  0.495 1.11390  0.449        Up
926  2004  0.449  0.279 -0.705  0.223  0.169 1.42260 -0.563      Down
927  2004 -0.563  0.449  0.279 -0.705  0.223 1.19760  0.633        Up
928  2004  0.633 -0.563  0.449  0.279 -0.705 1.32500 -1.394      Down
929  2004 -1.394  0.633 -0.563  0.449  0.279 1.37990 -0.467      Down
930  2004 -0.467 -1.394  0.633 -0.563  0.449 1.28630  0.158        Up
931  2004  0.158 -0.467 -1.394  0.633 -0.563 1.25540 -0.594      Down
932  2004 -0.594  0.158 -0.467 -1.394  0.633 1.26350  0.593        Up
933  2004  0.593 -0.594  0.158 -0.467 -1.394 1.39660  0.427        Up
934  2004  0.427  0.593 -0.594  0.158 -0.467 1.40290 -0.020      Down
935  2004 -0.020  0.427  0.593 -0.594  0.158 1.74800  1.518        Up
936  2004  1.518 -0.020  0.427  0.593 -0.594 1.58220  0.324        Up
937  2004  0.324  1.518 -0.020  0.427  0.593 1.53400 -0.061      Down
938  2004 -0.061  0.324  1.518 -0.020  0.427 1.41840  0.667        Up
939  2004  0.667 -0.061  0.324  1.518 -0.020 1.41670 -0.998      Down
940  2004 -0.998  0.667 -0.061  0.324  1.518 1.44750 -0.753      Down
941  2004 -0.753 -0.998  0.667 -0.061  0.324 1.29160  0.201        Up
942  2004  0.201 -0.753 -0.998  0.667 -0.061 0.94380 -0.227      Down
943  2004 -0.227  0.201 -0.753 -0.998  0.667 1.32010 -0.730      Down
944  2004 -0.730 -0.227  0.201 -0.753 -0.998 1.54620 -0.930      Down
945  2004 -0.930 -0.730 -0.227  0.201 -0.753 1.48950  0.445        Up
946  2004  0.445 -0.930 -0.730 -0.227  0.201 1.64510  0.525        Up
947  2004  0.525  0.445 -0.930 -0.730 -0.227 1.37330 -0.969      Down
948  2004 -0.969  0.525  0.445 -0.930 -0.730 1.73750  0.039        Up
949  2004  0.039 -0.969  0.525  0.445 -0.930 1.68570  0.256        Up
950  2004  0.256  0.039 -0.969  0.525  0.445 1.67300 -0.972      Down
951  2004 -0.972  0.256  0.039 -0.969  0.525 1.46960 -0.086      Down
952  2004 -0.086 -0.972  0.256  0.039 -0.969 1.38050  1.488        Up
953  2004  1.488 -0.086 -0.972  0.256  0.039 1.68540  1.288        Up
954  2004  1.288  1.488 -0.086 -0.972  0.256 1.74190  0.181        Up
955  2004  0.181  1.288  1.488 -0.086 -0.972 1.62820  0.245        Up
956  2004  0.245  0.181  1.288  1.488 -0.086 1.50080  0.027        Up
957  2004  0.027  0.245  0.181  1.288  1.488 1.39590  0.004        Up
958  2004  0.004  0.027  0.245  0.181  1.288 1.65900  1.118        Up
959  2004  1.118  0.004  0.027  0.245  0.181 1.76750  1.616        Up
960  2004  1.616  1.118  0.004  0.027  0.245 1.78270  0.387        Up
961  2004  0.387  1.616  1.118  0.004  0.027 1.72440 -0.110      Down
962  2004 -0.110  0.387  1.616  1.118  0.004 1.35870 -0.070      Down
963  2004 -0.070 -0.110  0.387  1.616  1.118 1.45080 -0.101      Down
964  2004 -0.101 -0.070 -0.110  0.387  1.616 1.50430  0.909        Up
965  2004  0.909 -0.101 -0.070 -0.110  0.387 1.39300  0.911        Up
966  2004  0.911  0.909 -0.101 -0.070 -0.110 1.53160 -0.030      Down
967  2004 -0.030  0.911  0.909 -0.101 -0.070 1.45330 -0.708      Down
968  2004 -0.708 -0.030  0.911  0.909 -0.101 1.36440  0.554        Up
969  2004  0.554 -0.708 -0.030  0.911  0.909 1.68420  0.136        Up
970  2004  0.136  0.554 -0.708 -0.030  0.911 1.45670 -1.116      Down
971  2004 -1.116  0.136  0.554 -0.708 -0.030 1.52660  0.590        Up
972  2004  0.590 -1.116  0.136  0.554 -0.708 1.39270 -0.025      Down
973  2004 -0.025  0.590 -1.116  0.136  0.554 1.42830  0.410        Up
974  2004  0.410 -0.025  0.590 -1.116  0.136 1.14960  0.075        Up
975  2004  0.075  0.410 -0.025  0.590 -1.116 0.50458 -0.345      Down
976  2004 -0.345  0.075  0.410 -0.025  0.590 1.37850 -0.403      Down
977  2004 -0.403 -0.345  0.075  0.410 -0.025 1.55350  1.495        Up
978  2004  1.495 -0.403 -0.345  0.075  0.410 1.77280 -0.087      Down
979  2004 -0.087  1.495 -0.403 -0.345  0.075 1.77490  0.071        Up
980  2004  0.071 -0.087  1.495 -0.403 -0.345 1.56670 -0.077      Down
981  2004 -0.077  0.071 -0.087  1.495 -0.403 1.35440 -1.107      Down
982  2004 -1.107 -0.077  0.071 -0.087  1.495 1.53390  0.488        Up
983  2004  0.488 -1.107 -0.077  0.071 -0.087 1.52520  0.544        Up
984  2004  0.544  0.488 -1.107 -0.077  0.071 1.62470 -0.104      Down
985  2004 -0.104  0.544  0.488 -1.107 -0.077 1.44370  0.899        Up
986  2004  0.899 -0.104  0.544  0.488 -1.107 1.43610  0.392        Up
987  2004  0.392  0.899 -0.104  0.544  0.488 1.54440  0.194        Up
988  2004  0.194  0.392  0.899 -0.104  0.544 1.69580 -0.208      Down
989  2004 -0.208  0.194  0.392  0.899 -0.104 1.79390 -0.749      Down
990  2004 -0.749 -0.208  0.194  0.392  0.899 2.33500  0.038        Up
991  2004  0.038 -0.749 -0.208  0.194  0.392 1.42280  0.904        Up
992  2004  0.904  0.038 -0.749 -0.208  0.194 1.48370  0.342        Up
993  2004  0.342  0.904  0.038 -0.749 -0.208 1.39080  0.046        Up
994  2004  0.046  0.342  0.904  0.038 -0.749 0.95610 -0.431      Down
995  2004 -0.431  0.046  0.342  0.904  0.038 0.92200  0.715        Up
996  2004  0.715 -0.431  0.046  0.342  0.904 0.98300 -0.007      Down
997  2004 -0.007  0.715 -0.431  0.046  0.342 0.92590  0.008        Up
998  2004  0.008 -0.007  0.715 -0.431  0.046 0.82980 -0.134      Down
999  2005 -0.134  0.008 -0.007  0.715 -0.431 0.78690 -0.812      Down
1000 2005 -0.812 -0.134  0.008 -0.007  0.715 1.51080 -1.167      Down
1001 2005 -1.167 -0.812 -0.134  0.008 -0.007 1.72100 -0.363      Down
1002 2005 -0.363 -1.167 -0.812 -0.134  0.008 1.73890  0.351        Up
1003 2005  0.351 -0.363 -1.167 -0.812 -0.134 1.56910 -0.143      Down
1004 2005 -0.143  0.351 -0.363 -1.167 -0.812 1.47790  0.342        Up
1005 2005  0.342 -0.143  0.351 -0.363 -1.167 1.49040 -0.610      Down
1006 2005 -0.610  0.342 -0.143  0.351 -0.363 1.48880  0.398        Up
1007 2005  0.398 -0.610  0.342 -0.143  0.351 1.56210 -0.863      Down
1008 2005 -0.863  0.398 -0.610  0.342 -0.143 1.51030  0.600        Up
1009 2005  0.600 -0.863  0.398 -0.610  0.342 1.33540  0.967        Up
1010 2005  0.967  0.600 -0.863  0.398 -0.610 1.59680 -0.949      Down
1011 2005 -0.949  0.967  0.600 -0.863  0.398 1.49870 -0.778      Down
1012 2005 -0.778 -0.949  0.967  0.600 -0.863 1.69200 -0.641      Down
1013 2005 -0.641 -0.778 -0.949  0.967  0.600 1.64350 -0.353      Down
1014 2005 -0.353 -0.641 -0.778 -0.949  0.967 1.49460  0.400        Up
1015 2005  0.400 -0.353 -0.641 -0.778 -0.949 1.61040  0.484        Up
1016 2005  0.484  0.400 -0.353 -0.641 -0.778 1.63590  0.041        Up
1017 2005  0.041  0.484  0.400 -0.353 -0.641 1.60060 -0.272      Down
1018 2005 -0.272  0.041  0.484  0.400 -0.353 1.64180  0.846        Up
1019 2005  0.846 -0.272  0.041  0.484  0.400 1.67980  0.689        Up
1020 2005  0.689  0.846 -0.272  0.041  0.484 1.68198  0.318        Up
1021 2005  0.318  0.689  0.846 -0.272  0.041 1.56174 -0.277      Down
1022 2005 -0.277  0.318  0.689  0.846 -0.272 1.55446  1.104        Up
1023 2005  1.104 -0.277  0.318  0.689  0.846 1.64816 -0.109      Down
1024 2005 -0.109  1.104 -0.277  0.318  0.689 1.34727  0.048        Up
1025 2005  0.048 -0.109  1.104 -0.277  0.318 1.41617 -0.858      Down
1026 2005 -0.858  0.048 -0.109  1.104 -0.277 1.51104  0.421        Up
1027 2005  0.421 -0.858  0.048 -0.109  1.104 1.49167  0.693        Up
1028 2005  0.693  0.421 -0.858  0.048 -0.109 1.56230  0.070        Up
1029 2005  0.070  0.693  0.421 -0.858  0.048 1.29018  0.330        Up
1030 2005  0.330  0.070  0.693  0.421 -0.858 1.52708  0.018        Up
1031 2005  0.018  0.330  0.070  0.693  0.421 1.49010 -0.792      Down
1032 2005 -0.792  0.018  0.330  0.070  0.693 1.58012  0.070        Up
1033 2005  0.070 -0.792  0.018  0.330  0.070 1.55120 -1.451      Down
1034 2005 -1.451  0.070 -0.792  0.018  0.330 1.74494  0.561        Up
1035 2005  0.561 -1.451  0.070 -0.792  0.018 1.50109  0.789        Up
1036 2005  0.789  0.561 -1.451  0.070 -0.792 1.51875  0.931        Up
1037 2005  0.931  0.789  0.561 -1.451  0.070 1.52368 -0.641      Down
1038 2005 -0.641  0.931  0.789  0.561 -1.451 1.79548  0.566        Up
1039 2005  0.566 -0.641  0.931  0.789  0.561 1.70806 -0.027      Down
1040 2005 -0.027  0.566 -0.641  0.931  0.789 1.56854  0.032        Up
1041 2005  0.032 -0.027  0.566 -0.641  0.931 1.61624  0.962        Up
1042 2005  0.962  0.032 -0.027  0.566 -0.641 1.63682  0.261        Up
1043 2005  0.261  0.962  0.032 -0.027  0.566 1.48883 -0.480      Down
1044 2005 -0.480  0.261  0.962  0.032 -0.027 1.52309 -1.019      Down
1045 2005 -1.019 -0.480  0.261  0.962  0.032 1.70497  0.186        Up
1046 2005  0.186 -1.019 -0.480  0.261  0.962 1.60402 -0.758      Down
1047 2005 -0.758  0.186 -1.019 -0.480  0.261 1.44982  0.562        Up
1048 2005  0.562 -0.758  0.186 -1.019 -0.480 1.43743 -0.752      Down
1049 2005 -0.752  0.562 -0.758  0.186 -1.019 1.51353 -0.808      Down
1050 2005 -0.808 -0.752  0.562 -0.758  0.186 1.65319  0.180        Up
1051 2005  0.180 -0.808 -0.752  0.562 -0.758 1.58193 -0.047      Down
1052 2005 -0.047  0.180 -0.808 -0.752  0.562 2.34437 -0.493      Down
1053 2005 -0.493 -0.047  0.180 -0.808 -0.752 1.81944 -1.020      Down
1054 2005 -1.020 -0.493 -0.047  0.180 -0.808 2.11447  0.070        Up
1055 2005  0.070 -1.020 -0.493 -0.047  0.180 2.24687 -0.095      Down
1056 2005 -0.095  0.070 -1.020 -0.493 -0.047 1.72172  0.244        Up
1057 2005  0.244 -0.095  0.070 -1.020 -0.493 1.74622 -0.760      Down
1058 2005 -0.760  0.244 -0.095  0.070 -1.020 2.22325  1.377        Up
1059 2005  1.377 -0.760  0.244 -0.095  0.070 2.09711 -0.069      Down
1060 2005 -0.069  1.377 -0.760  0.244 -0.095 2.21423 -0.650      Down
1061 2005 -0.650 -0.069  1.377 -0.760  0.244 2.16869  0.273        Up
1062 2005  0.273 -0.650 -0.069  1.377 -0.760 2.07977  0.448        Up
1063 2005  0.448  0.273 -0.650 -0.069  1.377 1.87080  0.227        Up
1064 2005  0.227  0.448  0.273 -0.650 -0.069 1.79740  0.597        Up
1065 2005  0.597  0.227  0.448  0.273 -0.650 1.90062 -0.834      Down
1066 2005 -0.834  0.597  0.227  0.448  0.273 1.66133  0.001        Up
1067 2005  0.001 -0.834  0.597  0.227  0.448 1.52531  0.555        Up
1068 2005  0.555  0.001 -0.834  0.597  0.227 1.97983 -1.176      Down
1069 2005 -1.176  0.555  0.001 -0.834  0.597 2.04974 -1.000      Down
1070 2005 -1.000 -1.176  0.555  0.001 -0.834 2.35504 -1.672      Down
1071 2005 -1.672 -1.000 -1.176  0.555  0.001 2.68996  0.294        Up
1072 2005  0.294 -1.672 -1.000 -1.176  0.555 2.18067  0.593        Up
1073 2005  0.593  0.294 -1.672 -1.000 -1.176 2.14270 -1.325      Down
1074 2005 -1.325  0.593  0.294 -1.672 -1.000 2.21705  1.974        Up
1075 2005  1.974 -1.325  0.593  0.294 -1.672 2.30856 -0.675      Down
1076 2005 -0.675  1.974 -1.325  0.593  0.294 2.04588  0.866        Up
1077 2005  0.866 -0.675  1.974 -1.325  0.593 1.79503 -0.884      Down
1078 2005 -0.884  0.866 -0.675  1.974 -1.325 1.95974  0.395        Up
1079 2005  0.395 -0.884  0.866 -0.675  1.974 2.15152 -1.138      Down
1080 2005 -1.138  0.395 -0.884  0.866 -0.675 2.18227  1.192        Up
1081 2005  1.192 -1.138  0.395 -0.884  0.866 2.36236  0.459        Up
1082 2005  0.459  1.192 -1.138  0.395 -0.884 1.98004 -0.085      Down
1083 2005 -0.085  0.459  1.192 -1.138  0.395 2.16702  1.247        Up
1084 2005  1.247 -0.085  0.459  1.192 -1.138 2.30648 -0.257      Down
1085 2005 -0.257  1.247 -0.085  0.459  1.192 1.99710 -0.109      Down
1086 2005 -0.109 -0.257  1.247 -0.085  0.459 1.70720  0.639        Up
1087 2005  0.639 -0.109 -0.257  1.247 -0.085 1.85702 -1.071      Down
1088 2005 -1.071  0.639 -0.109 -0.257  1.247 1.88966  0.419        Up
1089 2005  0.419 -1.071  0.639 -0.109 -0.257 1.83497 -1.003      Down
1090 2005 -1.003  0.419 -1.071  0.639 -0.109 1.99529 -0.458      Down
1091 2005 -0.458 -1.003  0.419 -1.071  0.639 2.18859  1.009        Up
1092 2005  1.009 -0.458 -1.003  0.419 -1.071 1.85686  0.696        Up
1093 2005  0.696  1.009 -0.458 -1.003  0.419 1.88726  1.002        Up
1094 2005  1.002  0.696  1.009 -0.458 -1.003 2.26632  0.466        Up
1095 2005  0.466  1.002  0.696  1.009 -0.458 1.77586 -0.151      Down
1096 2005 -0.151  0.466  1.002  0.696  1.009 1.63175  0.385        Up
1097 2005  0.385 -0.151  0.466  1.002  0.696 1.68117  0.018        Up
1098 2005  0.018  0.385 -0.151  0.466  1.002 1.68100 -0.340      Down
1099 2005 -0.340  0.018  0.385 -0.151  0.466 1.74218  0.639        Up
1100 2005  0.639 -0.340  0.018  0.385 -0.151 1.65411  0.097        Up
1101 2005  0.097  0.639 -0.340  0.018  0.385 1.38143 -0.607      Down
1102 2005 -0.607  0.097  0.639 -0.340  0.018 1.84068  0.900        Up
1103 2005  0.900 -0.607  0.097  0.639 -0.340 1.81010  0.172        Up
1104 2005  0.172  0.900 -0.607  0.097  0.639 1.81379 -0.687      Down
1105 2005 -0.687  0.172  0.900 -0.607  0.097 1.62752  0.125        Up
1106 2005  0.125 -0.687  0.172  0.900 -0.607 1.54712 -0.021      Down
1107 2005 -0.021  0.125 -0.687  0.172  0.900 1.85137 -0.216      Down
1108 2005 -0.216 -0.021  0.125 -0.687  0.172 1.71549  0.524        Up
1109 2005  0.524 -0.216 -0.021  0.125 -0.687 1.82412 -0.235      Down
1110 2005 -0.235  0.524 -0.216 -0.021  0.125 1.66418  0.226        Up
1111 2005  0.226 -0.235  0.524 -0.216 -0.021 1.66135  0.257        Up
1112 2005  0.257  0.226 -0.235  0.524 -0.216 1.69815  0.222        Up
1113 2005  0.222  0.257  0.226 -0.235  0.524 1.84044  0.363        Up
1114 2005  0.363  0.222  0.257  0.226 -0.235 1.77604  0.495        Up
1115 2005  0.495  0.363  0.222  0.257  0.226 2.40737 -0.071      Down
1116 2005 -0.071  0.495  0.363  0.222  0.257 1.71453 -0.205      Down
1117 2005 -0.205 -0.071  0.495  0.363  0.222 1.72070  0.022        Up
1118 2005  0.022 -0.205 -0.071  0.495  0.363 1.82325 -1.083      Down
1119 2005 -1.083  0.022 -0.205 -0.071  0.495 2.02992 -0.763      Down
1120 2005 -0.763 -1.083  0.022 -0.205 -0.071 2.41880 -0.074      Down
1121 2005 -0.074 -0.763 -1.083  0.022 -0.205 1.73862  0.914        Up
1122 2005  0.914 -0.074 -0.763 -1.083  0.022 1.77241 -0.143      Down
1123 2005 -0.143  0.914 -0.074 -0.763 -1.083 1.76928 -0.710      Down
1124 2005 -0.710 -0.143  0.914 -0.074 -0.763 2.10949  0.261        Up
1125 2005  0.261 -0.710 -0.143  0.914 -0.074 1.59382  0.883        Up
1126 2005  0.883  0.261 -0.710 -0.143  0.914 1.80582 -0.834      Down
1127 2005 -0.834  0.883  0.261 -0.710 -0.143 1.88347  0.245        Up
1128 2005  0.245 -0.834  0.883  0.261 -0.710 1.95244  1.168        Up
1129 2005  1.168  0.245 -0.834  0.883  0.261 1.90081  0.625        Up
1130 2005  0.625  1.168  0.245 -0.834  0.883 1.84630  0.227        Up
1131 2005  0.227  0.625  1.168  0.245 -0.834 1.93201  0.088        Up
1132 2005  0.088  0.227  0.625  1.168  0.245 1.81250  0.262        Up
1133 2005  0.262  0.088  0.227  0.625  1.168 2.04871  0.116        Up
1134 2005  0.116  0.262  0.088  0.227  0.625 1.71640 -0.553      Down
1135 2005 -0.553  0.116  0.262  0.088  0.227 1.58210  0.673        Up
1136 2005  0.673 -0.553  0.116  0.262  0.088 2.04128  0.476        Up
1137 2005  0.476  0.673 -0.553  0.116  0.262 2.06334 -0.661      Down
1138 2005 -0.661  0.476  0.673 -0.553  0.116 2.12984  0.541        Up
1139 2005  0.541 -0.661  0.476  0.673 -0.553 1.76699 -0.377      Down
1140 2005 -0.377  0.541 -0.661  0.476  0.673 1.71758  0.173        Up
1141 2005  0.173 -0.377  0.541 -0.661  0.476 1.93418  0.457        Up
1142 2005  0.457  0.173 -0.377  0.541 -0.661 1.94580  0.560        Up
1143 2005  0.560  0.457  0.173 -0.377  0.541 2.00168 -0.767      Down
1144 2005 -0.767  0.560  0.457  0.173 -0.377 1.78960  0.095        Up
1145 2005  0.095 -0.767  0.560  0.457  0.173 1.71687  0.710        Up
1146 2005  0.710  0.095 -0.767  0.560  0.457 2.04312  0.074        Up
1147 2005  0.074  0.710  0.095 -0.767  0.560 1.99998 -0.737      Down
1148 2005 -0.737  0.074  0.710  0.095 -0.767 1.98122 -0.764      Down
1149 2005 -0.764 -0.737  0.074  0.710  0.095 1.93028 -0.268      Down
1150 2005 -0.268 -0.764 -0.737  0.074  0.710 1.80414  0.674        Up
1151 2005  0.674 -0.268 -0.764 -0.737  0.074 1.89752 -0.183      Down
1152 2005 -0.183  0.674 -0.268 -0.764 -0.737 2.17232  0.706        Up
1153 2005  0.706 -0.183  0.674 -0.268 -0.764 1.94156 -0.599      Down
1154 2005 -0.599  0.706 -0.183  0.674 -0.268 1.70930  0.283        Up
1155 2005  0.283 -0.599  0.706 -0.183  0.674 1.56288 -1.178      Down
1156 2005 -1.178  0.283 -0.599  0.706 -0.183 1.82041  0.074        Up
1157 2005  0.074 -1.178  0.283 -0.599  0.706 1.85915 -0.100      Down
1158 2005 -0.100  0.074 -1.178  0.283 -0.599 1.80817  0.057        Up
1159 2005  0.057 -0.100  0.074 -1.178  0.283 1.55879  0.166        Up
1160 2005  0.166  0.057 -0.100  0.074 -1.178 1.62133 -0.339      Down
1161 2005 -0.339  0.166  0.057 -0.100  0.074 1.67862 -0.657      Down
1162 2005 -0.657 -0.339  0.166  0.057 -0.100 1.93080  0.230        Up
1163 2005  0.230 -0.657 -0.339  0.166  0.057 1.57111 -0.600      Down
1164 2005 -0.600  0.230 -0.657 -0.339  0.166 1.54109  0.596        Up
1165 2005  0.596 -0.600  0.230 -0.657 -0.339 1.59945 -0.319      Down
1166 2005 -0.319  0.596 -0.600  0.230 -0.657 1.91647  0.986        Up
1167 2005  0.986 -0.319  0.596 -0.600  0.230 2.36551  0.103        Up
1168 2005  0.103  0.986 -0.319  0.596 -0.600 2.22986 -0.292      Down
1169 2005 -0.292  0.103  0.986 -0.319  0.596 1.64016  1.262        Up
1170 2005  1.262 -0.292  0.103  0.986 -0.319 1.93209  0.241        Up
1171 2005  0.241  1.262 -0.292  0.103  0.986 2.06770 -0.379      Down
1172 2005 -0.379  0.241  1.262 -0.292  0.103 1.95538  0.796        Up
1173 2005  0.796 -0.379  0.241  1.262 -0.292 1.99256 -0.074      Down
1174 2005 -0.074  0.796 -0.379  0.241  1.262 1.93805 -0.754      Down
1175 2005 -0.754 -0.074  0.796 -0.379  0.241 2.08236 -0.328      Down
1176 2005 -0.328 -0.754 -0.074  0.796 -0.379 1.98675  0.046        Up
1177 2005  0.046 -0.328 -0.754 -0.074  0.796 2.07934  0.829        Up
1178 2005  0.829  0.046 -0.328 -0.754 -0.074 3.15247 -0.557      Down
1179 2005 -0.557  0.829  0.046 -0.328 -0.754 2.07654 -0.786      Down
1180 2005 -0.786 -0.557  0.829  0.046 -0.328 2.31925 -0.912      Down
1181 2005 -0.912 -0.786 -0.557  0.829  0.046 2.54815  0.365        Up
1182 2005  0.365 -0.912 -0.786 -0.557  0.829 2.42472  0.055        Up
1183 2005  0.055  0.365 -0.912 -0.786 -0.557 1.97302  0.028        Up
1184 2005  0.028  0.055  0.365 -0.912 -0.786 2.02222  0.002        Up
1185 2005  0.002  0.028  0.055  0.365 -0.912 1.97627  0.101        Up
1186 2005  0.101  0.002  0.028  0.055  0.365 2.10698  0.887        Up
1187 2005  0.887  0.101  0.002  0.028  0.055 2.17612  0.092        Up
1188 2005  0.092  0.887  0.101  0.002  0.028 2.09752 -0.172      Down
1189 2005 -0.172  0.092  0.887  0.101  0.002 2.09749 -0.997      Down
1190 2005 -0.997 -0.172  0.092  0.887  0.101 2.34142 -1.489      Down
1191 2005 -1.489 -0.997 -0.172  0.092  0.887 2.54678 -0.410      Down
1192 2005 -0.410 -1.489 -0.997 -0.172  0.092 2.79203  0.370        Up
1193 2005  0.370 -0.410 -1.489 -0.997 -0.172 2.12608 -0.717      Down
1194 2005 -0.717  0.370 -0.410 -1.489 -0.997 2.19599 -0.207      Down
1195 2005 -0.207 -0.717  0.370 -0.410 -1.489 2.29904 -0.607      Down
1196 2005 -0.607 -0.207 -0.717  0.370 -0.410 2.49128 -0.071      Down
1197 2005 -0.071 -0.607 -0.207 -0.717  0.370 2.35115  0.827        Up
1198 2005  0.827 -0.071 -0.607 -0.207 -0.717 2.18894  0.297        Up
1199 2005  0.297  0.827 -0.071 -0.607 -0.207 2.05457 -1.005      Down
1200 2005 -1.005  0.297  0.827 -0.071 -0.607 2.19701  1.496        Up
1201 2005  1.496 -1.005  0.297  0.827 -0.071 2.70359 -1.502      Down
1202 2005 -1.502  1.496 -1.005  0.297  0.827 2.61725  0.152        Up
1203 2005  0.152 -1.502  1.496 -1.005  0.297 2.47092  1.678        Up
1204 2005  1.678  0.152 -1.502  1.496 -1.005 2.19779 -0.237      Down
1205 2005 -0.237  1.678  0.152 -1.502  1.496 2.31247 -0.431      Down
1206 2005 -0.431 -0.237  1.678  0.152 -1.502 2.46775 -1.048      Down
1207 2005 -1.048 -0.431 -0.237  1.678  0.152 2.39537  1.655        Up
1208 2005  1.655 -1.048 -0.431 -0.237  1.678 2.37940  0.718        Up
1209 2005  0.718  1.655 -1.048 -0.431 -0.237 2.56747 -0.352      Down
1210 2005 -0.352  0.718  1.655 -1.048 -0.431 2.45785  0.998        Up
1211 2005  0.998 -0.352  0.718  1.655 -1.048 2.64809  0.426        Up
1212 2005  0.426  0.998 -0.352  0.718  1.655 2.71663  0.016        Up
1213 2005  0.016  0.426  0.998 -0.352  0.718 2.05051  0.219        Up
1214 2005  0.219  0.016  0.426  0.998 -0.352 1.98758 -0.345      Down
1215 2005 -0.345  0.219  0.016  0.426  0.998 1.96505  0.169        Up
1216 2005  0.169 -0.345  0.219  0.016  0.426 2.21446  0.845        Up
1217 2005  0.845  0.169 -0.345  0.219  0.016 2.37846  0.305        Up
1218 2005  0.305  0.845  0.169 -0.345  0.219 1.77314 -0.078      Down
1219 2005 -0.078  0.305  0.845  0.169 -0.345 1.89978 -0.385      Down
1220 2005 -0.385 -0.078  0.305  0.845  0.169 2.35937  0.179        Up
1221 2005  0.179 -0.385 -0.078  0.305  0.845 2.12158  0.941        Up
1222 2005  0.941  0.179 -0.385 -0.078  0.305 2.29804  0.440        Up
1223 2005  0.440  0.941  0.179 -0.385 -0.078 2.45329  0.527        Up
1224 2005  0.527  0.440  0.941  0.179 -0.385 2.11735  0.508        Up
1225 2005  0.508  0.527  0.440  0.941  0.179 2.29142  0.347        Up
1226 2005  0.347  0.508  0.527  0.440  0.941 1.98540  0.209        Up
1227 2005  0.209  0.347  0.508  0.527  0.440 0.72494 -0.851      Down
1228 2005 -0.851  0.209  0.347  0.508  0.527 2.01690  0.002        Up
1229 2005  0.002 -0.851  0.209  0.347  0.508 2.26834 -0.636      Down
1230 2005 -0.636  0.002 -0.851  0.209  0.347 2.37469  1.216        Up
1231 2005  1.216 -0.636  0.002 -0.851  0.209 2.61483  0.032        Up
1232 2005  0.032  1.216 -0.636  0.002 -0.851 2.12558 -0.236      Down
1233 2005 -0.236  0.032  1.216 -0.636  0.002 2.32584  0.128        Up
1234 2005  0.128 -0.236  0.032  1.216 -0.636 2.11074 -0.501      Down
1235 2005 -0.501  0.128 -0.236  0.032  1.216 2.09383 -0.122      Down
1236 2005 -0.122 -0.501  0.128 -0.236  0.032 2.17830  0.281        Up
1237 2005  0.281 -0.122 -0.501  0.128 -0.236 1.89629  0.084        Up
1238 2005  0.084  0.281 -0.122 -0.501  0.128 1.87655  0.555        Up
1239 2005  0.555  0.084  0.281 -0.122 -0.501 2.39002  0.419        Up
1240 2005  0.419  0.555  0.084  0.281 -0.122 2.14552 -0.141      Down
1241 2005 -0.141  0.419  0.555  0.084  0.281 2.18059 -0.285      Down
1242 2005 -0.285 -0.141  0.419  0.555  0.084 2.58419 -0.584      Down
1243 2005 -0.584 -0.285 -0.141  0.419  0.555 2.20881 -0.024      Down
1244 2005 -0.024 -0.584 -0.285 -0.141  0.419 1.99669  0.252        Up
1245 2005  0.252 -0.024 -0.584 -0.285 -0.141 2.06517  0.422        Up
1246 2005  0.422  0.252 -0.024 -0.584 -0.285 1.88850  0.043        Up
1247 2005  0.043  0.422  0.252 -0.024 -0.584 1.28581 -0.955      Down
1248 2005 -0.955  0.043  0.422  0.252 -0.024 1.54047  0.130        Up
1249 2005  0.130 -0.955  0.043  0.422  0.252 1.42236 -0.298      Down
1250 2005 -0.298  0.130 -0.955  0.043  0.422 1.38254 -0.489      Down
          Down        Up pred2.smarket$class
1    0.4754475 0.5245525                  Up
2    0.4944981 0.5055019                  Up
3    0.5083068 0.4916932                Down
4    0.4780731 0.5219269                  Up
5    0.4773961 0.5226039                  Up
6    0.4836726 0.5163274                  Up
7    0.5013701 0.4986299                Down
8    0.4916379 0.5083621                  Up
9    0.4675238 0.5324762                  Up
10   0.4967838 0.5032162                  Up
11   0.5019613 0.4980387                Down
12   0.4655520 0.5344480                  Up
13   0.4633996 0.5366004                  Up
14   0.4812826 0.5187174                  Up
15   0.4947436 0.5052564                  Up
16   0.4716662 0.5283338                  Up
17   0.4762915 0.5237085                  Up
18   0.4519277 0.5480723                  Up
19   0.4782173 0.5217827                  Up
20   0.4724980 0.5275020                  Up
21   0.4553187 0.5446813                  Up
22   0.4561118 0.5438882                  Up
23   0.4464450 0.5535550                  Up
24   0.4899983 0.5100017                  Up
25   0.4780292 0.5219708                  Up
26   0.4624040 0.5375960                  Up
27   0.4836893 0.5163107                  Up
28   0.4551567 0.5448433                  Up
29   0.4515832 0.5484168                  Up
30   0.4480566 0.5519434                  Up
31   0.4705341 0.5294659                  Up
32   0.4592714 0.5407286                  Up
33   0.5019030 0.4980970                Down
34   0.4968984 0.5031016                  Up
35   0.4452302 0.5547698                  Up
36   0.4704687 0.5295313                  Up
37   0.4620207 0.5379793                  Up
38   0.4770378 0.5229622                  Up
39   0.4991427 0.5008573                  Up
40   0.5009467 0.4990533                Down
41   0.4845367 0.5154633                  Up
42   0.4395789 0.5604211                  Up
43   0.4505552 0.5494448                  Up
44   0.5754054 0.4245946                Down
45   0.4641476 0.5358524                  Up
46   0.4976466 0.5023534                  Up
47   0.4501044 0.5498956                  Up
48   0.5089911 0.4910089                Down
49   0.4747007 0.5252993                  Up
50   0.4614096 0.5385904                  Up
51   0.4665073 0.5334927                  Up
52   0.5085804 0.4914196                Down
53   0.5437403 0.4562597                Down
54   0.5507365 0.4492635                Down
55   0.5049951 0.4950049                Down
56   0.4777557 0.5222443                  Up
57   0.4874610 0.5125390                  Up
58   0.4695970 0.5304030                  Up
59   0.4309245 0.5690755                  Up
60   0.5099301 0.4900699                Down
61   0.5768345 0.4231655                Down
62   0.6118375 0.3881625                Down
63   0.4900290 0.5099710                  Up
64   0.5465029 0.4534971                Down
65   0.5463364 0.4536636                Down
66   0.4988286 0.5011714                  Up
67   0.4966858 0.5033142                  Up
68   0.4873182 0.5126818                  Up
69   0.5870258 0.4129742                Down
70   0.6427579 0.3572421                Down
71   0.4801219 0.5198781                  Up
72   0.4445640 0.5554360                  Up
73   0.4520087 0.5479913                  Up
74   0.4981965 0.5018035                  Up
75   0.5148047 0.4851953                Down
76   0.5082577 0.4917423                Down
77   0.4970521 0.5029479                  Up
78   0.4947702 0.5052298                  Up
79   0.4995199 0.5004801                  Up
80   0.4486950 0.5513050                  Up
81   0.4966227 0.5033773                  Up
82   0.4960425 0.5039575                  Up
83   0.4649395 0.5350605                  Up
84   0.4610540 0.5389460                  Up
85   0.4663183 0.5336817                  Up
86   0.4576457 0.5423543                  Up
87   0.4705620 0.5294380                  Up
88   0.4744482 0.5255518                  Up
89   0.5355154 0.4644846                Down
90   0.5628103 0.4371897                Down
91   0.4788155 0.5211845                  Up
92   0.5074261 0.4925739                Down
93   0.5011675 0.4988325                Down
94   0.4450548 0.5549452                  Up
95   0.4753172 0.5246828                  Up
96   0.4557379 0.5442621                  Up
97   0.4550809 0.5449191                  Up
98   0.4436563 0.5563437                  Up
99   0.4808514 0.5191486                  Up
100  0.4871399 0.5128601                  Up
101  0.4853219 0.5146781                  Up
102  0.5043745 0.4956255                Down
103  0.4782406 0.5217594                  Up
104  0.4761270 0.5238730                  Up
105  0.4628222 0.5371778                  Up
106  0.4532446 0.5467554                  Up
107  0.4679856 0.5320144                  Up
108  0.4537588 0.5462412                  Up
109  0.4429117 0.5570883                  Up
110  0.4652554 0.5347446                  Up
111  0.4587776 0.5412224                  Up
112  0.4727777 0.5272223                  Up
113  0.4919864 0.5080136                  Up
114  0.5084683 0.4915317                Down
115  0.4755494 0.5244506                  Up
116  0.4573698 0.5426302                  Up
117  0.4638412 0.5361588                  Up
118  0.4610150 0.5389850                  Up
119  0.4910943 0.5089057                  Up
120  0.4920809 0.5079191                  Up
121  0.4884104 0.5115896                  Up
122  0.4850580 0.5149420                  Up
123  0.4496254 0.5503746                  Up
124  0.4379049 0.5620951                  Up
125  0.4941889 0.5058111                  Up
126  0.4583756 0.5416244                  Up
127  0.4669800 0.5330200                  Up
128  0.5208108 0.4791892                Down
129  0.5480602 0.4519398                Down
130  0.4620579 0.5379421                  Up
131  0.4850208 0.5149792                  Up
132  0.4783633 0.5216367                  Up
133  0.4774579 0.5225421                  Up
134  0.4734543 0.5265457                  Up
135  0.4436330 0.5563670                  Up
136  0.4489779 0.5510221                  Up
137  0.5014627 0.4985373                Down
138  0.5278071 0.4721929                Down
139  0.4939534 0.5060466                  Up
140  0.4714697 0.5285303                  Up
141  0.4796190 0.5203810                  Up
142  0.4859533 0.5140467                  Up
143  0.4830915 0.5169085                  Up
144  0.4667869 0.5332131                  Up
145  0.4491059 0.5508941                  Up
146  0.4724488 0.5275512                  Up
147  0.4487351 0.5512649                  Up
148  0.4718648 0.5281352                  Up
149  0.4809239 0.5190761                  Up
150  0.4805840 0.5194160                  Up
151  0.4648987 0.5351013                  Up
152  0.4553653 0.5446347                  Up
153  0.4714519 0.5285481                  Up
154  0.4492939 0.5507061                  Up
155  0.4855314 0.5144686                  Up
156  0.4640575 0.5359425                  Up
157  0.4795831 0.5204169                  Up
158  0.4763989 0.5236011                  Up
159  0.5089932 0.4910068                Down
160  0.5095749 0.4904251                Down
161  0.4446977 0.5553023                  Up
162  0.4532831 0.5467169                  Up
163  0.4433254 0.5566746                  Up
164  0.4784064 0.5215936                  Up
165  0.4748907 0.5251093                  Up
166  0.4679110 0.5320890                  Up
167  0.4386395 0.5613605                  Up
168  0.4569333 0.5430667                  Up
169  0.4845107 0.5154893                  Up
170  0.4321299 0.5678701                  Up
171  0.5754964 0.4245036                Down
172  0.4431835 0.5568165                  Up
173  0.4367665 0.5632335                  Up
174  0.4803605 0.5196395                  Up
175  0.5632175 0.4367825                Down
176  0.6346748 0.3653252                Down
177  0.4762168 0.5237832                  Up
178  0.4886849 0.5113151                  Up
179  0.5415492 0.4584508                Down
180  0.5231491 0.4768509                Down
181  0.4924362 0.5075638                  Up
182  0.5387720 0.4612280                Down
183  0.5149460 0.4850540                Down
184  0.4709848 0.5290152                  Up
185  0.4586616 0.5413384                  Up
186  0.4574026 0.5425974                  Up
187  0.5152647 0.4847353                Down
188  0.5656623 0.4343377                Down
189  0.4934331 0.5065669                  Up
190  0.4638899 0.5361101                  Up
191  0.4818954 0.5181046                  Up
192  0.4531774 0.5468226                  Up
193  0.4622027 0.5377973                  Up
194  0.4741104 0.5258896                  Up
195  0.5086758 0.4913242                Down
196  0.4947093 0.5052907                  Up
197  0.4673985 0.5326015                  Up
198  0.4984856 0.5015144                  Up
199  0.5065178 0.4934822                Down
200  0.4428909 0.5571091                  Up
201  0.4615139 0.5384861                  Up
202  0.4717741 0.5282259                  Up
203  0.5202747 0.4797253                Down
204  0.5376695 0.4623305                Down
205  0.5035939 0.4964061                Down
206  0.5317700 0.4682300                Down
207  0.4958108 0.5041892                  Up
208  0.4722811 0.5277189                  Up
209  0.4763542 0.5236458                  Up
210  0.4691549 0.5308451                  Up
211  0.5073001 0.4926999                Down
212  0.5181906 0.4818094                Down
213  0.4742615 0.5257385                  Up
214  0.4659830 0.5340170                  Up
215  0.4886990 0.5113010                  Up
216  0.4777750 0.5222250                  Up
217  0.4580319 0.5419681                  Up
218  0.4892764 0.5107236                  Up
219  0.5049085 0.4950915                Down
220  0.4680223 0.5319777                  Up
221  0.4407274 0.5592726                  Up
222  0.4918170 0.5081830                  Up
223  0.4878848 0.5121152                  Up
224  0.4561025 0.5438975                  Up
225  0.4914528 0.5085472                  Up
226  0.5476611 0.4523389                Down
227  0.5238948 0.4761052                Down
228  0.4556876 0.5443124                  Up
229  0.4433908 0.5566092                  Up
230  0.4658597 0.5341403                  Up
231  0.4683124 0.5316876                  Up
232  0.4473144 0.5526856                  Up
233  0.4755402 0.5244598                  Up
234  0.4946052 0.5053948                  Up
235  0.5033952 0.4966048                Down
236  0.4938766 0.5061234                  Up
237  0.4649907 0.5350093                  Up
238  0.4737108 0.5262892                  Up
239  0.4760549 0.5239451                  Up
240  0.4777249 0.5222751                  Up
241  0.4890753 0.5109247                  Up
242  0.4872736 0.5127264                  Up
243  0.4569050 0.5430950                  Up
244  0.4768593 0.5231407                  Up
245  0.4971740 0.5028260                  Up
246  0.4984636 0.5015364                  Up
247  0.4686779 0.5313221                  Up
248  0.4602097 0.5397903                  Up
249  0.4593635 0.5406365                  Up
250  0.4688123 0.5311877                  Up
251  0.4564906 0.5435094                  Up
252  0.4562359 0.5437641                  Up
253  0.4787236 0.5212764                  Up
254  0.4558814 0.5441186                  Up
255  0.4888050 0.5111950                  Up
256  0.4715249 0.5284751                  Up
257  0.4548510 0.5451490                  Up
258  0.4806350 0.5193650                  Up
259  0.4900942 0.5099058                  Up
260  0.4768965 0.5231035                  Up
261  0.4711854 0.5288146                  Up
262  0.4338888 0.5661112                  Up
263  0.5156310 0.4843690                Down
264  0.5247437 0.4752563                Down
265  0.4894872 0.5105128                  Up
266  0.4345405 0.5654595                  Up
267  0.4793078 0.5206922                  Up
268  0.4573178 0.5426822                  Up
269  0.4611359 0.5388641                  Up
270  0.4974523 0.5025477                  Up
271  0.5328336 0.4671664                Down
272  0.4929746 0.5070254                  Up
273  0.4860797 0.5139203                  Up
274  0.4847671 0.5152329                  Up
275  0.4513944 0.5486056                  Up
276  0.4412989 0.5587011                  Up
277  0.4990702 0.5009298                  Up
278  0.4725621 0.5274379                  Up
279  0.4845207 0.5154793                  Up
280  0.5229232 0.4770768                Down
281  0.5123252 0.4876748                Down
282  0.4711215 0.5288785                  Up
283  0.4659564 0.5340436                  Up
284  0.5163240 0.4836760                Down
285  0.5751609 0.4248391                Down
286  0.5057528 0.4942472                Down
287  0.4946639 0.5053361                  Up
288  0.4925971 0.5074029                  Up
289  0.4775486 0.5224514                  Up
290  0.4855333 0.5144667                  Up
291  0.4708302 0.5291698                  Up
292  0.4526556 0.5473444                  Up
293  0.4647085 0.5352915                  Up
294  0.4917801 0.5082199                  Up
295  0.4908161 0.5091839                  Up
296  0.4772930 0.5227070                  Up
297  0.4518141 0.5481859                  Up
298  0.4726519 0.5273481                  Up
299  0.4649141 0.5350859                  Up
300  0.4453334 0.5546666                  Up
301  0.4792583 0.5207417                  Up
302  0.4894161 0.5105839                  Up
303  0.4827915 0.5172085                  Up
304  0.4721545 0.5278455                  Up
305  0.4558086 0.5441914                  Up
306  0.4508275 0.5491725                  Up
307  0.4676873 0.5323127                  Up
308  0.4657950 0.5342050                  Up
309  0.4716112 0.5283888                  Up
310  0.4620549 0.5379451                  Up
311  0.4877715 0.5122285                  Up
312  0.4570077 0.5429923                  Up
313  0.4941357 0.5058643                  Up
314  0.4677250 0.5322750                  Up
315  0.5155537 0.4844463                Down
316  0.5299401 0.4700599                Down
317  0.4659512 0.5340488                  Up
318  0.4700359 0.5299641                  Up
319  0.4478541 0.5521459                  Up
320  0.4603079 0.5396921                  Up
321  0.4549069 0.5450931                  Up
322  0.4634805 0.5365195                  Up
323  0.4478314 0.5521686                  Up
324  0.4535217 0.5464783                  Up
325  0.4864580 0.5135420                  Up
326  0.5081488 0.4918512                Down
327  0.4823047 0.5176953                  Up
328  0.4524887 0.5475113                  Up
329  0.4404242 0.5595758                  Up
330  0.4701752 0.5298248                  Up
331  0.5575156 0.4424844                Down
332  0.5809081 0.4190919                Down
333  0.4463077 0.5536923                  Up
334  0.5075163 0.4924837                Down
335  0.5629820 0.4370180                Down
336  0.5138633 0.4861367                Down
337  0.4784038 0.5215962                  Up
338  0.4954976 0.5045024                  Up
339  0.4613122 0.5386878                  Up
340  0.4518661 0.5481339                  Up
341  0.4767055 0.5232945                  Up
342  0.4992409 0.5007591                  Up
343  0.4686717 0.5313283                  Up
344  0.4541999 0.5458001                  Up
345  0.4558640 0.5441360                  Up
346  0.4614746 0.5385254                  Up
347  0.4719840 0.5280160                  Up
348  0.4396247 0.5603753                  Up
349  0.4854754 0.5145246                  Up
350  0.4874401 0.5125599                  Up
351  0.4556821 0.5443179                  Up
352  0.4730585 0.5269415                  Up
353  0.4744619 0.5255381                  Up
354  0.4493714 0.5506286                  Up
355  0.4825752 0.5174248                  Up
356  0.4632461 0.5367539                  Up
357  0.4626972 0.5373028                  Up
358  0.5328947 0.4671053                Down
359  0.5603347 0.4396653                Down
360  0.4468171 0.5531829                  Up
361  0.4523394 0.5476606                  Up
362  0.4449606 0.5550394                  Up
363  0.4777340 0.5222660                  Up
364  0.4499885 0.5500115                  Up
365  0.4669954 0.5330046                  Up
366  0.5041024 0.4958976                Down
367  0.5094085 0.4905915                Down
368  0.4398103 0.5601897                  Up
369  0.4525617 0.5474383                  Up
370  0.4886209 0.5113791                  Up
371  0.5701700 0.4298300                Down
372  0.5801189 0.4198811                Down
373  0.4367945 0.5632055                  Up
374  0.4524578 0.5475422                  Up
375  0.5245608 0.4754392                Down
376  0.4713159 0.5286841                  Up
377  0.4599492 0.5400508                  Up
378  0.4410772 0.5589228                  Up
379  0.4832905 0.5167095                  Up
380  0.4423001 0.5576999                  Up
381  0.4575390 0.5424610                  Up
382  0.5009984 0.4990016                Down
383  0.4813009 0.5186991                  Up
384  0.6330973 0.3669027                Down
385  0.7294159 0.2705841                Down
386  0.5004501 0.4995499                Down
387  0.6580426 0.3419574                Down
388  0.7243740 0.2756260                Down
389  0.4956949 0.5043051                  Up
390  0.4479485 0.5520515                  Up
391  0.4723522 0.5276478                  Up
392  0.4482725 0.5517275                  Up
393  0.5729374 0.4270626                Down
394  0.6109880 0.3890120                Down
395  0.6011498 0.3988502                Down
396  0.5868007 0.4131993                Down
397  0.4659378 0.5340622                  Up
398  0.4373700 0.5626300                  Up
399  0.5698804 0.4301196                Down
400  0.6475416 0.3524584                Down
401  0.4893258 0.5106742                  Up
402  0.5200888 0.4799112                Down
403  0.5104259 0.4895741                Down
404  0.4922923 0.5077077                  Up
405  0.5254978 0.4745022                Down
406  0.4652435 0.5347565                  Up
407  0.4937556 0.5062444                  Up
408  0.4604065 0.5395935                  Up
409  0.4442217 0.5557783                  Up
410  0.4729387 0.5270613                  Up
411  0.4670016 0.5329984                  Up
412  0.4258371 0.5741629                  Up
413  0.5732000 0.4268000                Down
414  0.4843814 0.5156186                  Up
415  0.5027398 0.4972602                Down
416  0.5295173 0.4704827                Down
417  0.5031319 0.4968681                Down
418  0.4818502 0.5181498                  Up
419  0.4371292 0.5628708                  Up
420  0.4906979 0.5093021                  Up
421  0.4773336 0.5226664                  Up
422  0.4437217 0.5562783                  Up
423  0.4684159 0.5315841                  Up
424  0.4306136 0.5693864                  Up
425  0.5033879 0.4966121                Down
426  0.4520074 0.5479926                  Up
427  0.4450769 0.5549231                  Up
428  0.5230554 0.4769446                Down
429  0.5817443 0.4182557                Down
430  0.4688146 0.5311854                  Up
431  0.4884956 0.5115044                  Up
432  0.5624996 0.4375004                Down
433  0.5834872 0.4165128                Down
434  0.4678327 0.5321673                  Up
435  0.4377991 0.5622009                  Up
436  0.4565875 0.5434125                  Up
437  0.5066561 0.4933439                Down
438  0.4690084 0.5309916                  Up
439  0.5663085 0.4336915                Down
440  0.6910420 0.3089580                Down
441  0.6319028 0.3680972                Down
442  0.6066537 0.3933463                Down
443  0.6310909 0.3689091                Down
444  0.5274250 0.4725750                Down
445  0.5413532 0.4586468                Down
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724  0.4805237 0.5194763                  Up
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800  0.4904239 0.5095761                  Up
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826  0.4634668 0.5365332                  Up
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849  0.4831691 0.5168309                  Up
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857  0.4568307 0.5431693                  Up
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938  0.4735427 0.5264573                  Up
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948  0.4620247 0.5379753                  Up
949  0.4668445 0.5331555                  Up
950  0.4754584 0.5245416                  Up
951  0.4578266 0.5421734                  Up
952  0.4647553 0.5352447                  Up
953  0.4996298 0.5003702                  Up
954  0.5294331 0.4705669                Down
955  0.4994321 0.5005679                  Up
956  0.4770588 0.5229412                  Up
957  0.4739451 0.5260549                  Up
958  0.4707295 0.5292705                  Up
959  0.4924300 0.5075700                  Up
960  0.5261095 0.4738905                Down
961  0.5138258 0.4861742                Down
962  0.4736679 0.5263321                  Up
963  0.4680088 0.5319912                  Up
964  0.4678574 0.5321426                  Up
965  0.4868079 0.5131921                  Up
966  0.5044091 0.4955909                Down
967  0.4855268 0.5144732                  Up
968  0.4583912 0.5416088                  Up
969  0.4760462 0.5239538                  Up
970  0.4810664 0.5189336                  Up
971  0.4542555 0.5457445                  Up
972  0.4771638 0.5228362                  Up
973  0.4787763 0.5212237                  Up
974  0.4776425 0.5223575                  Up
975  0.4773828 0.5226172                  Up
976  0.4652903 0.5347097                  Up
977  0.4606633 0.5393367                  Up
978  0.4969515 0.5030485                  Up
979  0.5005548 0.4994452                Down
980  0.4707166 0.5292834                  Up
981  0.4698116 0.5301884                  Up
982  0.4521764 0.5478236                  Up
983  0.4752281 0.5247719                  Up
984  0.4877659 0.5122341                  Up
985  0.4764901 0.5235099                  Up
986  0.4865685 0.5134315                  Up
987  0.4933480 0.5066520                  Up
988  0.4792938 0.5207062                  Up
989  0.4690973 0.5309027                  Up
990  0.4562328 0.5437672                  Up
991  0.4666499 0.5333501                  Up
992  0.4882835 0.5117165                  Up
993  0.4924741 0.5075259                  Up
994  0.4757497 0.5242503                  Up
995  0.4635472 0.5364528                  Up
996  0.4802041 0.5197959                  Up
997  0.4816015 0.5183985                  Up
998  0.4704227 0.5295773                  Up
999  0.4681011 0.5318989                  Up
1000 0.4558845 0.5441155                  Up
1001 0.4485594 0.5514406                  Up
1002 0.4610956 0.5389044                  Up
1003 0.4736048 0.5263952                  Up
1004 0.4725124 0.5274876                  Up
1005 0.4751531 0.5248469                  Up
1006 0.4645666 0.5354334                  Up
1007 0.4733398 0.5266602                  Up
1008 0.4615144 0.5384856                  Up
1009 0.4768179 0.5231821                  Up
1010 0.4987500 0.5012500                  Up
1011 0.4713279 0.5286721                  Up
1012 0.4540826 0.5459174                  Up
1013 0.4558011 0.5441989                  Up
1014 0.4603210 0.5396790                  Up
1015 0.4745862 0.5254138                  Up
1016 0.4850220 0.5149780                  Up
1017 0.4780315 0.5219685                  Up
1018 0.4661180 0.5338820                  Up
1019 0.4839330 0.5160670                  Up
1020 0.4981702 0.5018298                  Up
1021 0.4872121 0.5127879                  Up
1022 0.4696871 0.5303129                  Up
1023 0.4892898 0.5107102                  Up
1024 0.4888647 0.5111353                  Up
1025 0.4700933 0.5299067                  Up
1026 0.4569550 0.5430450                  Up
1027 0.4734584 0.5265416                  Up
1028 0.4896009 0.5103991                  Up
1029 0.4825695 0.5174305                  Up
1030 0.4772223 0.5227777                  Up
1031 0.4750539 0.5249461                  Up
1032 0.4576147 0.5423853                  Up
1033 0.4671828 0.5328172                  Up
1034 0.4490641 0.5509359                  Up
1035 0.4786950 0.5213050                  Up
1036 0.4941777 0.5058223                  Up
1037 0.5020193 0.4979807                Down
1038 0.4753591 0.5246409                  Up
1039 0.4764222 0.5235778                  Up
1040 0.4782857 0.5217143                  Up
1041 0.4706343 0.5293657                  Up
1042 0.4894306 0.5105694                  Up
1043 0.4922826 0.5077174                  Up
1044 0.4654730 0.5345270                  Up
1045 0.4508969 0.5491031                  Up
1046 0.4695074 0.5304926                  Up
1047 0.4600854 0.5399146                  Up
1048 0.4761294 0.5238706                  Up
1049 0.4659757 0.5340243                  Up
1050 0.4533792 0.5466208                  Up
1051 0.4691004 0.5308996                  Up
1052 0.4717184 0.5282816                  Up
1053 0.4615698 0.5384302                  Up
1054 0.4508395 0.5491605                  Up
1055 0.4675077 0.5324923                  Up
1056 0.4694849 0.5305151                  Up
1057 0.4737861 0.5262139                  Up
1058 0.4608219 0.5391781                  Up
1059 0.4928065 0.5071935                  Up
1060 0.4972635 0.5027365                  Up
1061 0.4589005 0.5410995                  Up
1062 0.4709431 0.5290569                  Up
1063 0.4822754 0.5177246                  Up
1064 0.4808662 0.5191338                  Up
1065 0.4845404 0.5154596                  Up
1066 0.4653450 0.5346550                  Up
1067 0.4660091 0.5339909                  Up
1068 0.4807509 0.5192491                  Up
1069 0.4595565 0.5404435                  Up
1070 0.4520531 0.5479469                  Up
1071 0.4430537 0.5569463                  Up
1072 0.4761676 0.5238324                  Up
1073 0.4854729 0.5145271                  Up
1074 0.4581653 0.5418347                  Up
1075 0.5074251 0.4925749                Down
1076 0.5065524 0.4934476                Down
1077 0.4822338 0.5177662                  Up
1078 0.4700263 0.5299737                  Up
1079 0.4729973 0.5270027                  Up
1080 0.4574630 0.5425370                  Up
1081 0.4892062 0.5107938                  Up
1082 0.5022635 0.4977365                Down
1083 0.4753160 0.5246840                  Up
1084 0.4942269 0.5057731                  Up
1085 0.4900433 0.5099567                  Up
1086 0.4661072 0.5338928                  Up
1087 0.4812277 0.5187723                  Up
1088 0.4625846 0.5374154                  Up
1089 0.4738316 0.5261684                  Up
1090 0.4597709 0.5402291                  Up
1091 0.4589368 0.5410632                  Up
1092 0.4860403 0.5139597                  Up
1093 0.5022978 0.4977022                Down
1094 0.5015111 0.4984889                Down
1095 0.4973604 0.5026396                  Up
1096 0.4742658 0.5257342                  Up
1097 0.4758906 0.5241094                  Up
1098 0.4759295 0.5240705                  Up
1099 0.4647293 0.5352707                  Up
1100 0.4792729 0.5207271                  Up
1101 0.4819794 0.5180206                  Up
1102 0.4613241 0.5386759                  Up
1103 0.4831228 0.5168772                  Up
1104 0.4890695 0.5109305                  Up
1105 0.4609957 0.5390043                  Up
1106 0.4682330 0.5317670                  Up
1107 0.4714625 0.5285375                  Up
1108 0.4663881 0.5336119                  Up
1109 0.4779786 0.5220214                  Up
1110 0.4738175 0.5261825                  Up
1111 0.4722068 0.5277932                  Up
1112 0.4779149 0.5220851                  Up
1113 0.4777074 0.5222926                  Up
1114 0.4798746 0.5201254                  Up
1115 0.4846223 0.5153777                  Up
1116 0.4761959 0.5238041                  Up
1117 0.4660672 0.5339328                  Up
1118 0.4687843 0.5312157                  Up
1119 0.4534567 0.5465433                  Up
1120 0.4547845 0.5452155                  Up
1121 0.4647406 0.5352594                  Up
1122 0.4871984 0.5128016                  Up
1123 0.4835323 0.5164677                  Up
1124 0.4573297 0.5426703                  Up
1125 0.4706151 0.5293849                  Up
1126 0.4909319 0.5090681                  Up
1127 0.4711804 0.5288196                  Up
1128 0.4702567 0.5297433                  Up
1129 0.4968334 0.5031666                  Up
1130 0.5050351 0.4949649                Down
1131 0.4841568 0.5158432                  Up
1132 0.4747950 0.5252050                  Up
1133 0.4761628 0.5238372                  Up
1134 0.4758132 0.5241868                  Up
1135 0.4624019 0.5375981                  Up
1136 0.4787867 0.5212133                  Up
1137 0.4900019 0.5099981                  Up
1138 0.4659037 0.5340963                  Up
1139 0.4758947 0.5241053                  Up
1140 0.4716898 0.5283102                  Up
1141 0.4702593 0.5297407                  Up
1142 0.4810045 0.5189955                  Up
1143 0.4875295 0.5124705                  Up
1144 0.4657062 0.5342938                  Up
1145 0.4676237 0.5323763                  Up
1146 0.4850000 0.5150000                  Up
1147 0.4829965 0.5170035                  Up
1148 0.4590534 0.5409466                  Up
1149 0.4540079 0.5459921                  Up
1150 0.4615529 0.5384471                  Up
1151 0.4804963 0.5195037                  Up
1152 0.4775869 0.5224131                  Up
1153 0.4818570 0.5181430                  Up
1154 0.4711624 0.5288376                  Up
1155 0.4712585 0.5287415                  Up
1156 0.4552746 0.5447254                  Up
1157 0.4682196 0.5317804                  Up
1158 0.4694452 0.5305548                  Up
1159 0.4703399 0.5296601                  Up
1160 0.4740049 0.5259951                  Up
1161 0.4665106 0.5334894                  Up
1162 0.4567517 0.5432483                  Up
1163 0.4701527 0.5298473                  Up
1164 0.4631183 0.5368817                  Up
1165 0.4771198 0.5228802                  Up
1166 0.4736946 0.5263054                  Up
1167 0.4864665 0.5135335                  Up
1168 0.4898279 0.5101721                  Up
1169 0.4665076 0.5334924                  Up
1170 0.4925872 0.5074128                  Up
1171 0.4998622 0.5001378                  Up
1172 0.4668529 0.5331471                  Up
1173 0.4821424 0.5178576                  Up
1174 0.4821072 0.5178928                  Up
1175 0.4572754 0.5427246                  Up
1176 0.4605965 0.5394035                  Up
1177 0.4683047 0.5316953                  Up
1178 0.4868205 0.5131795                  Up
1179 0.4744381 0.5255619                  Up
1180 0.4539406 0.5460594                  Up
1181 0.4519361 0.5480639                  Up
1182 0.4724787 0.5275213                  Up
1183 0.4762794 0.5237206                  Up
1184 0.4714807 0.5285193                  Up
1185 0.4707054 0.5292946                  Up
1186 0.4721877 0.5278123                  Up
1187 0.4887308 0.5112692                  Up
1188 0.4872429 0.5127571                  Up
1189 0.4684139 0.5315861                  Up
1190 0.4529175 0.5470825                  Up
1191 0.4451038 0.5548962                  Up
1192 0.4628334 0.5371666                  Up
1193 0.4736782 0.5263218                  Up
1194 0.4633125 0.5366875                  Up
1195 0.4625691 0.5374309                  Up
1196 0.4583897 0.5416103                  Up
1197 0.4650229 0.5349771                  Up
1198 0.4854268 0.5145732                  Up
1199 0.4898011 0.5101989                  Up
1200 0.4579164 0.5420836                  Up
1201 0.4954003 0.5045997                  Up
1202 0.4774724 0.5225276                  Up
1203 0.4719241 0.5280759                  Up
1204 0.5071210 0.4928790                Down
1205 0.5037563 0.4962437                Down
1206 0.4609271 0.5390729                  Up
1207 0.4506858 0.5493142                  Up
1208 0.4990310 0.5009690                  Up
1209 0.5221444 0.4778556                Down
1210 0.4755354 0.5244646                  Up
1211 0.4864783 0.5135217                  Up
1212 0.4964508 0.5035492                  Up
1213 0.4765731 0.5234269                  Up
1214 0.4745045 0.5254955                  Up
1215 0.4671156 0.5328844                  Up
1216 0.4703843 0.5296157                  Up
1217 0.4887795 0.5112205                  Up
1218 0.4903680 0.5096320                  Up
1219 0.4729509 0.5270491                  Up
1220 0.4630093 0.5369907                  Up
1221 0.4703202 0.5296798                  Up
1222 0.4909410 0.5090590                  Up
1223 0.4953210 0.5046790                  Up
1224 0.4865672 0.5134328                  Up
1225 0.4877642 0.5122358                  Up
1226 0.4842384 0.5157616                  Up
1227 0.4788439 0.5211561                  Up
1228 0.4589818 0.5410182                  Up
1229 0.4660365 0.5339635                  Up
1230 0.4598203 0.5401797                  Up
1231 0.4896300 0.5103700                  Up
1232 0.4945187 0.5054813                  Up
1233 0.4666238 0.5333762                  Up
1234 0.4704217 0.5295783                  Up
1235 0.4633786 0.5366214                  Up
1236 0.4645079 0.5354921                  Up
1237 0.4742102 0.5257898                  Up
1238 0.4755079 0.5244921                  Up
1239 0.4817527 0.5182473                  Up
1240 0.4865249 0.5134751                  Up
1241 0.4736458 0.5263542                  Up
1242 0.4640764 0.5359236                  Up
1243 0.4581946 0.5418054                  Up
1244 0.4658855 0.5341145                  Up
1245 0.4746714 0.5253286                  Up
1246 0.4814533 0.5185467                  Up
1247 0.4769978 0.5230022                  Up
1248 0.4554885 0.5445115                  Up
1249 0.4683755 0.5316245                  Up
1250 0.4667390 0.5332610                  Up

Caution! 이차판별분석에서 함수 predict()는 예측 클래스와 각 클래스에 대한 사후확률 예측값만 출력한다.


# 오분류표
pacman::p_load("DescTools")

# 도수분포표
smarket.ctbl2 <- table(smarket$Direction,           # 실제 클래스
                       pred2.smarket$class)         # 예측 클래스
smarket.ctbl2
      
       Down  Up
  Down  109 493
  Up     94 554
Desc(smarket.ctbl2,                                 # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
smarket.ctbl2 (table)

Summary: 
n: 1'250, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 2.7148, df = 1, p-value = 0.09942
Fisher's exact test p-value = 0.09145
McNemar's chi-squared = 269.85, df = 1, p-value < 2.2e-16

                    estimate lwr.ci upr.ci'
                                          
odds ratio             1.303  0.964  1.761
rel. risk (col1)       1.248  0.970  1.607
rel. risk (col2)       0.958  0.912  1.006


Contingency Coeff.     0.049
Cramer's V             0.049
Kendall Tau-b          0.049

                                          
                  Down        Up       Sum
                                          
Down   freq        109       493       602
       perc    8.7200%  39.4400%  48.1600%
       p.row  18.1063%  81.8937%         .
       p.col  53.6946%  47.0869%         .
                                          
Up     freq         94       554       648
       perc    7.5200%  44.3200%  51.8400%
       p.row  14.5062%  85.4938%         .
       p.col  46.3054%  52.9131%         .
                                          
Sum    freq        203     1'047     1'250
       perc   16.2400%  83.7600% 100.0000%
       p.row         .         .         .
       p.col         .         .         .
                                          

----------
' 95% conf. level

Result! 원래 “Down”에 속하는 602개의 개체 중 109개(109/602=18.1%)는 제대로 분류되었으나 493개(493/602=81.9%)는 잘못 분류되었다. 또한, 원래 “Up”에 속하는 648개의 개체 중 554개(554/648=85.5%)는 제대로 분류되었으나 94개(94/648=14.5%)는 잘못 분류되었다. 유도된 이차판별함수에 대한 오류율은 (493+94)/1250=47%이며, 정확도는 (109+554)/1250=53%이다.


Caution! Package "klaR"에서 제공하는 함수 partimat()을 통해 판별분석의 분류 영역을 각 예측변수의 쌍에 대하여 표현할 수 있다.

# 그래프적 표현
pacman::p_load("klaR")

smarket$Direction <- as.factor(smarket$Direction)

# 선형판별함수
partimat(Direction ~ Lag1 + Lag2,      
         data = smarket,
         method = "lda")
# 이차판별함수
partimat(Direction ~ Lag1 + Lag2,
         data = smarket,
         method = "qda")


6. 오분류율 계산

# 1. 재대입에 의한 오분류율 계산 
pacman::p_load("MASS")

smarket.lda <- lda(Direction ~ Lag1 + Lag2,         # formula : 반응변수(클래스) ~ 예측변수
                   # prior = c(1/2, 1/2),           # 사전확률
                   data = smarket)                   

## 예측
pred <- predict(smarket.lda,                        # 함수 lda로부터 출력된 객체
                smarket)                            # 판별함수를 유도하는 데 사용했던 데이터

## 오분류율 계산
## 함수 table()
ctbl <- table(smarket$Direction,                    # 실제 클래스
              pred$class)                           # 예측 클래스
ctbl
      
       Down  Up
  Down  114 488
  Up    102 546
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                          # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 1'250, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 2.0123, df = 1, p-value = 0.156
Fisher's exact test p-value = 0.1548
McNemar's chi-squared = 251.23, df = 1, p-value < 2.2e-16

                    estimate lwr.ci upr.ci'
                                          
odds ratio             1.250  0.932  1.677
rel. risk (col1)       1.203  0.944  1.534
rel. risk (col2)       0.962  0.914  1.012


Contingency Coeff.     0.042
Cramer's V             0.042
Kendall Tau-b          0.042

                                          
                  Down        Up       Sum
                                          
Down   freq        114       488       602
       perc    9.1200%  39.0400%  48.1600%
       p.row  18.9369%  81.0631%         .
       p.col  52.7778%  47.1954%         .
                                          
Up     freq        102       546       648
       perc    8.1600%  43.6800%  51.8400%
       p.row  15.7407%  84.2593%         .
       p.col  47.2222%  52.8046%         .
                                          
Sum    freq        216     1'034     1'250
       perc   17.2800%  82.7200% 100.0000%
       p.row         .         .         .
       p.col         .         .         .
                                          

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(pred$class,                          # 예측 클래스
                smarket$Direction)                   # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction Down  Up
      Down  114 102
      Up    488 546
                                         
               Accuracy : 0.528          
                 95% CI : (0.4999, 0.556)
    No Information Rate : 0.5184         
    P-Value [Acc > NIR] : 0.2576         
                                         
                  Kappa : 0.0327         
                                         
 Mcnemar's Test P-Value : <2e-16         
                                         
            Sensitivity : 0.1894         
            Specificity : 0.8426         
         Pos Pred Value : 0.5278         
         Neg Pred Value : 0.5280         
             Prevalence : 0.4816         
         Detection Rate : 0.0912         
   Detection Prevalence : 0.1728         
      Balanced Accuracy : 0.5160         
                                         
       'Positive' Class : Down           
                                         

# 2. 표본분할에 의한 오분류율 계산
## 표본 분할
pacman::p_load("caret")

set.seed(200)                                        # Seed 고정
ind <- createDataPartition(smarket$Direction,        # 반응변수 (클래스)
                           p = .7,                   # 판별함수를 유도하는 데 사용되는 데이터 비율
                           list = F)                 # 출력 결과를 List로 반환할 것인지 여부  

trd <- smarket[ind,]                                 # 판별함수를 유도하는 데 사용되는 데이터
ted <- smarket[-ind,]                                # 오분류율 계산을 위해 사용되는 데이터 
pacman::p_load("MASS")

smarket.lda <- lda(Direction ~ Lag1 + Lag2,
                   data = trd)

## 예측
pred <- predict(smarket.lda,                         # 함수 lda로부터 출력된 객체
                ted)                                 # 새로운 데이터

## 오분류율 계산
## 함수 table()
ctbl <- table(ted$Direction,                         # 실제 클래스
              pred$class)                            # 예측 클래스
ctbl
      
       Down  Up
  Down   39 141
  Up     46 148
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                           # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 374, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 0.12109, df = 1, p-value = 0.7279
Fisher's exact test p-value = 0.7113
McNemar's chi-squared = 47.251, df = 1, p-value = 6.244e-12

                    estimate lwr.ci upr.ci'
                                          
odds ratio             0.890  0.548  1.445
rel. risk (col1)       0.914  0.628  1.330
rel. risk (col2)       1.027  0.920  1.146


Contingency Coeff.     0.024
Cramer's V             0.024
Kendall Tau-b          -0.024

                                          
                  Down        Up       Sum
                                          
Down   freq         39       141       180
       perc   10.4278%  37.7005%  48.1283%
       p.row  21.6667%  78.3333%         .
       p.col  45.8824%  48.7889%         .
                                          
Up     freq         46       148       194
       perc   12.2995%  39.5722%  51.8717%
       p.row  23.7113%  76.2887%         .
       p.col  54.1176%  51.2111%         .
                                          
Sum    freq         85       289       374
       perc   22.7273%  77.2727% 100.0000%
       p.row         .         .         .
       p.col         .         .         .
                                          

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(pred$class,                          # 예측 클래스
                ted$Direction)                       # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction Down  Up
      Down   39  46
      Up    141 148
                                          
               Accuracy : 0.5             
                 95% CI : (0.4482, 0.5518)
    No Information Rate : 0.5187          
    P-Value [Acc > NIR] : 0.7812          
                                          
                  Kappa : -0.0208         
                                          
 Mcnemar's Test P-Value : 6.244e-12       
                                          
            Sensitivity : 0.2167          
            Specificity : 0.7629          
         Pos Pred Value : 0.4588          
         Neg Pred Value : 0.5121          
             Prevalence : 0.4813          
         Detection Rate : 0.1043          
   Detection Prevalence : 0.2273          
      Balanced Accuracy : 0.4898          
                                          
       'Positive' Class : Down            
                                          

# 3. 교차타당성에 의한 오분류율 계산
pacman::p_load("MASS")

smarket.lda <- lda(Direction ~ Lag1 + Lag2, 
                   data = smarket,
                   CV = TRUE)
## 오분류율 계산
## 함수 table()
ctbl <- table(smarket$Direction,                     # 실제 클래스
              smarket.lda$class)                     # 예측 클래스
ctbl
      
       Down  Up
  Down  109 493
  Up    109 539
## 함수 Desc()
pacman::p_load("DescTools")

Desc(ctbl,                                           # 도수분포표
     digits = 4)
-------------------------------------------------------------------- 
ctbl (table)

Summary: 
n: 1'250, rows: 2, columns: 2

Pearson's Chi-squared test (cont. adj):
  X-squared = 0.27437, df = 1, p-value = 0.6004
Fisher's exact test p-value = 0.5518
McNemar's chi-squared = 243.67, df = 1, p-value < 2.2e-16

                    estimate lwr.ci upr.ci'
                                          
odds ratio             1.093  0.816  1.464
rel. risk (col1)       1.076  0.846  1.370
rel. risk (col2)       0.985  0.936  1.036


Contingency Coeff.     0.017
Cramer's V             0.017
Kendall Tau-b          0.017

                                          
                  Down        Up       Sum
                                          
Down   freq        109       493       602
       perc    8.7200%  39.4400%  48.1600%
       p.row  18.1063%  81.8937%         .
       p.col  50.0000%  47.7713%         .
                                          
Up     freq        109       539       648
       perc    8.7200%  43.1200%  51.8400%
       p.row  16.8210%  83.1790%         .
       p.col  50.0000%  52.2287%         .
                                          
Sum    freq        218     1'032     1'250
       perc   17.4400%  82.5600% 100.0000%
       p.row         .         .         .
       p.col         .         .         .
                                          

----------
' 95% conf. level
## 함수 confusionMatrix()
pacman::p_load("caret")

confusionMatrix(smarket.lda$class,                   # 예측 클래스
                smarket$Direction)                   # 실제 클래스
Confusion Matrix and Statistics

          Reference
Prediction Down  Up
      Down  109 109
      Up    493 539
                                          
               Accuracy : 0.5184          
                 95% CI : (0.4903, 0.5464)
    No Information Rate : 0.5184          
    P-Value [Acc > NIR] : 0.5114          
                                          
                  Kappa : 0.0132          
                                          
 Mcnemar's Test P-Value : <2e-16          
                                          
            Sensitivity : 0.1811          
            Specificity : 0.8318          
         Pos Pred Value : 0.5000          
         Neg Pred Value : 0.5223          
             Prevalence : 0.4816          
         Detection Rate : 0.0872          
   Detection Prevalence : 0.1744          
      Balanced Accuracy : 0.5064          
                                          
       'Positive' Class : Down            
                                          

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