.SiOMATHEMATICS TRAINING PROGRAM
.,
"
USING WEIGHTED RANKINGS IN THE ANALYSIS
OR RANDOMIZED BLOCKS WITH ORDERED ALTERNATIVES
by
Ibrahim A. Salama and Dana Quade
Department of Biostatistics
University of North Carolina, Chapel Hill
Institute of Statistics Mimeo Series No.
January 1978
1159
USING WEIGHTED RANKINGS IN THE ANALYSIS
OF RANDOMIZED BLOCKS WITH ORDERED ALTERNATIVES
by
Ibrahim A. Salama and Dana Quade
Department of Biostatistics
University of North Carolina, Chapel Hill
1.
Suppose
blocks.
m ~ 2 treatments are applied once each to
n
~
2 different
be the yield of the j-th treatment in the i-th block,
J.J
i = I, ... , nand j =l, ... ,m. We assume that the blocks are indepen-
for
dnet:
-e
Let
INTRODUCTION
X..
i. e., that
{Th:
(I)
•
random vectors
X.
~J.
=
(X·I,···,X.
J.
J.m ),
for
= l, ... ,n, are mutually independent
F.J. be the joint distribution function of X·l'···,X.
J.
J.m ,
simplicity we assume also that F. is such that
J.
Let
p{X •.
(II)
J.)
= X.•
,}
J.)
= 0
for
j
~
where for
j' ,
and hence with probability 1 there will be no ties within blocks.
The hypothesis of interest is that of no treatment effects, specifically
H : X. ' ... ,X.
O J. 1
J.m
are interchangable for each
i
which means that each
F. is symmetric in its m arguments. The alterJ.
native we have in mind is that the treatments tend to induce a certain
specified ordering of the
X•• 's;
J.)
there is no loss in generality in
-2-
taking this ordering to be an increase with
In particular, we consi-
j.
der the alternative of additive treatment effects,
F(x .. )
IJ
= F.1 (x
-
L .),
J
where
L
I
~ ... ~ L m
{ and at least one inequality is strict
This problem can be treated by the well-known method of
Let
R..
IJ
be the within-block rank of
is for each
C., i
1
i = 1, ... ,n
= 1, ... ,n,
(R.I, ... ,R.)
1
1m
alternative.
by Assumption II,
(R.I, ... ,R.)
I J l
a permutation of the integers
and the ranking
(1, ... ,m)
(l, ... ,m) .
1m
And let
considered most likely under the
C = LC'/n,
1
Then we may use as test criterion the statistics
Such a statistic is strictly distribution-free under
and can easily be tabulated for small values of
to infinity
rankings.
be the values of some measure of correlation between
the average correlation.
H '
O
X.. ;
n
m and
C becomes asymptotically normally distributed.
n.
As
n
tends
Two special
cases are the test of Lyerly (1952) and Page (1963), in which Spearman correlation is used, and the test of Jonckheere (1954), based on Kendall correlation.
In the usual "parametric" treatment of this problem, there is made an
additional assumption (besides normality) of "block additivity", of which
one version is that
There exist quantities
(III)
such that for
Bl , .. . ,Bn
(block effects)
i = 1, ... ,n
F.(x.l,··.,X.
) = F(x.l-B.,
... ,x. -B.)
.
111m
111m
1
In such a situation the treatments may properly be compared not only
within blocks but also between them; and the method of
n
uses only the within-block comparisons, wastes information:
rankings, which
to be specific,
~.
-3-
•
its asymptotic relative efficiency against ordered additive treatment effects
is
m/(m+l),
which is substantially less than unity unless the block size is
large.
For the special case where
m=Z,
a standard simple distribution-free
procedure is available which recovers between-block information.
This is
the signed-rank test of Wilcoxon (1945), based on the statistic
Z = lQ i sgn(X il -X i2 ),
QI""'~
where
ranges or absolute differences
IXil-X
iZ
has been extensively tabulated for small
approximation is satisfactory.
ciency of
3/~
= .955
are the ranks of the within-block
'.
The exact distribution under
n,
and for large
The test has an asymptotic relative effi-
This result represents the usual efficiency
of ranks with respect to normal variate values.
On the other hand, the effi-
ciency of the method of n
rankings is only m/(m+l) = 2/3
or
the method of
For
a normal
with respect to the classical t-test, or the randomi-
zation t-test of Fisher (1935).
2/1r = .637.
n
H
O
m= 2
one-sided sign test, based on the statistic
n
times as great,
rankings reduces to a simple
S = Lsgn(Xil-X iZ )'
The success of the signed-rank test in recovering between-block information when
m= 2
leads us to look for generalizations to
is due to Doksum (1967).
n
Let
Q... , be the rank of
1JJ
m ~ 3.
,Ix..
-X .. , I
1J 1J
abs?lute differences within blocks between treatments
j
and
One such
among the
j', and
let
D.. , = l(Q ... ,-I) sgn(X .. -X .. ,) = Z.. , -S .. , ,
JJ
where
Z.. ,
JJ
and
1J J
S .. ,
JJ
1J
1J
JJ
are the signed-rank test statistic and the sign test
statistic, respectively, for comparing treatments
H the quantity
O
JJ
j
and
j ,.
Then under
-4-
D=
L
D {
i<j jj' 2n-l
36/m(m2~1)
+ (m~2)
[24(n-2)A
+
13.6n]
}~
has asymptotically the standard normal distribution, where
X , ... ,X 7 from F. The test which rejects
l
D is unfortunately not distribution-free for any
for independent observations
for large values of
finite experiment, although it is asymptotically distribution-free if a
consistent estimator
upper bound
A S 7/24
~
is substituted for
is used.
A,
or conservative if the
A closely related but slightly less effi-
cient test is given by Hollander (1967).
Another possible approach is provided by the method of ranking after
alignment, discussed by Puri and Sen (1971).
The resulting test, however,
is still only conditionally distribution-free given the sets of scores
which occur in the various blocks, or asymptotically as
infinity.
n
tends to
Hence it is difficult to see that the method offers any real
advantage over a permutation test based on the original observations,
whose asymptotic properties are similar if the variance of
(which could be ensured by mild winsorization).
X..
1J
exists
Thus a simple but com-
pletely distribution-free test which recovers between-block information
for
m ~ 3 has not yet been described.
2.
WEIGHTED RANKINGS
A method of weighted rankings has been introduced by Quade (l972, 1978)
as follows.
Under Assumption III all blocks are equally variable; if some
appear more variable than others, they are perhaps better referred to as
-5-
more discriminating.
It seems intuitively reasonable that these blocks
should receive greater weight in the analysis.
Thus we calculate from
the observations in the i-th block some measure of (apparent) variability
V. = V(X.I, ... ,X.),
111m
where the function
~
be the rank of
V.
for
p{V. = V. ,} = 0
for
is symmetric in its
m argu-
ments and is such that
for all
c.
Let
Q.
1
1
i = l, ... ,n;
for simplicity
we assume
(IV)
1
1
i
~
i' ,
so that with probability I there will be no ties among the
b .,
relative weight given to the i-th block will be
where the
b's
are constants such that
0
~bl ~
Q1
...
V's.
for
i
Then the
=l, ... ,n,
and
~bn
Specifically, we propose the test statistic
where
C.
1
is any measure of rank correlation as in the method of n
(unweighted) rankings;
G is then a weighted average correlation, and
the (unweighted) average correlation is the special case where
The signed-rank statistic
m= 2,
b.1
==
Z is also equivalent to a special case:
lin.
with
set
C. = sgn(X.
-X. )
I I II 2
Clearly the statistic
and
b.=i
1
G is distribution-free under
distribution could be tabulated for small
one may use a normal approximation based on
m and
n.
H ;
O
its sampling
For larger experiments
-6-
Theorem 1.
If the block weights
2 \ 2
max b./ L.b. -.. 0
1
as
1
n -..
00,
and if
bl, ... ,b
are so chosen that
n
0 < V(C) < 00, then under H '
O
asymptotically normally distributed with mean equal to
E[C]
.
is
G
and variance
V(C)Lb~.
1
Proof.
Under H '
O
random variables.
C , .. "C
are independent and identically distributed
l
n
v
See Theorem 1 of Hajek and Sidak (1967, p. 153).
Before this method can be applied in practice, we must choose:
1)
The measure of variability
V',
2) the measure of correlation
C',
and
3) the set of block weights
bl, ... ,b . In all three cases further study
n
is needed to determine the best choice, but some tentative recommendations
can~
be made.
F{)r the measure of variability, the within-block variance is
probably as good a statistic as any, or the within-block range may be used.
Monte-Carlo work by Silva (1977) suggests that, for a related statistic
used to test against unordered alternatives, there is very little difference
between them.
For the measure of correlation, we shall consider using
Spearman's rho and Kendall's tau.
choice
b.1 = i, i = 1, ... ,n
Finally, for the weights
suggests itself on two grounds:
bl, ... ,b
the
n
first, because
these weights are simple; and second, because they provide a generalization
of the signed-rank statistic.
Clearly this choice satisfies the condition
mentioned in Theorem 1.
In particular, we then have immediately
Lemma 2.
Let
n
2
GS = (2 1)
Q. s.
n n+
i=l 1 1
where
Si
(l, ... ,m);
,
is the Spearman rank correlation between
then
(R·l,···,R.
)
1
1m
and
-7-
n
24
•
m
L L
. 1 . 1
jQ.R..
1 1)
3(m+l)
(m-l)
G = __
l=_....J<-=_-;::-_ _
S
2
nm(n+l) (m _1
G has mean o and variance "=3n-('n2(2n+l)
-'+'"="I')'(m-<---=-l') , as
S
G
is asymptotically normally distributed. We also have
S
Furthermore, under H '
O
n
+
00,
Lemma 3.
Let
n
G
T
where T.
= n (2
1) L
n+
i=l
Q. T.
1
1
,
is the Kendall rank correlation between
(R.l, ... ,R.)
1 1 1 m
(l, ... ,m);
then
and
n
8
L Q.P.
1 1
. I
1=
GT =
P.
where
1
nm(n+ 1) (m-l) - I ,
is the number of times
.
GT has mean 0 and varlance
is asymptotically normally distributed.
under
G
T
3.
for j < j , . Furthermore,
4(2n+l) (2m+5)
27nm(n+l) (m-l)' and as n +
X.. < X•. ,
1J
1J
co
TABLES
G and Gr
S
Table 1 represents the exact distribution
The appendix includes tables of the exact distribution of
for various values of m and
n.
of G for m =3 treatments and n =2(1) 11 blocks; for m= 4 treatments
S
and n = 2(1)7 blocks; for m = 5 treatments and n = 2(1)5 blocks; for
m =6 treatments and
n
=2 (1) 4
blocks; and for
m= 7 treatments and
n = 2,3
the first column represents the integral rann
m
, the second
namely
of
the
statistic
=
dom part
L L j Q.1 R..
IS
GS '
lJ
i=l j=l
colunm gives GS ' the third column gives GS/SD(G S)' the fourth column
gives p{G =g} (g is the observed value in Column 2), and the fifth column
S
blocks.
For given
m and
n
-8-
gives
P{GS s g},
Since the distribution of
G is symmetric, the table
S
shows only the left half of the distribution, Table 2 represents the
exact distribution of G for m= 3 treatments and n = 2 (1) 12; for
T
m =4 treatments and n =2 (1) 8; for m =5 treatments and n = 2 (1) 6;
m =6 treatments and
n
for
=2(1)5; and for m =7 treatments and n =2,3,4.
The description of the table is exactly similar to Table 1 with the necessary changes in notations (specifiCallY
IT
=
I Q.P.).
. 1
1=
11
The calculations showed that the normal distribution provides a very
good approximation for the exact distributions of
G and G , Let
S
T
is the standard normal dis-
Tr = P{T s t} and Tr = ~(T ISO (T)), where <P
l
2
tribution function; then Xl' X2 , and X in Table A are
3
Xl = maxlTr l (t) - Tr2 (t)
I
t
X2
= {Tr1(t) - 1T2 (t) ITr2 (t)
< ,Ol}
and
The smoothness of the calculations suggests that in using the normal
approximation for values of n
beyond those reported here, the maximum
absolute deviation from the exact level of significance is less than
.01,
..
-9-
e
TABLE A
•
m=3
n
2
3
4
5
6
7
8
9
10
11
12
13
14
15
X
2
Xl
S
T
.13
.066
.042
.030
.025
.019
.016
.014
.012
.011
.0096
.0087
.0080
.0073
.092
.059
.041
.031
.025
.020
.017
.015
.013
.011
.010
.0090
.0082
.0075
Me
S
X
3
T
-.0014
-.0015
-.0012
- .0010
-.00089
-.00078
-.00071
-.00064
-.00059
-.00055
-.00051
-.00048
-.00045
-.0048
-.0042
-.0030
-.0025
-.0020
-.0018
-.0015
-.0014
- .0013
-.0012
- .00ll
-.0010
S
T
.78
.60
.62
.33
.28
.18
.19
.15
.14
.63
.38
.25
.18
.14
.12
.096
.082
.071
.063
.056
.050
.045
.041
.13
:11
.11
.097
.091
m=4
n
2
3
4
5
6
7
8
9
10
X
2
Xl
S
T
.062
.035
.024
.017
.014
.012
.0099
.0086
.0076
.062
.039
.027
.020
.016
.013
.011
.0095
.0083
S
-.0052
-.0036
-.0027
-.0022
-.0018
-.0016
-.0014
-.0012
X
3
T
S
-.0014
- .00ll
-.00084
-.00070
-.00060
-.00053
-.00048
-.00044
-.00040
.83
.52
.31
.24
.21
.17
.14
.13
.12
T
.40
.23
.16
.12
.090
.073
.061
.052
.046
-10-
e
m=5
n
2
3
4
5
6
7
8
9
X
2
Xl
S
T
.038
.022
.016
.012
.0098
.0082
.0070
.0061
.046
.028
.020
.015
.012
.0096
.0081
.0069
.0060
10
S
-.0055
-.0038
-.0027
-.0021
- .0017
-.0015
-.0013
- .0011
•
X
3
T
S
-.00095
-.00074
-.00060
-.00051
-.00044
-.00040
-.00036
-.00033
-.00030
.61
.36
.25
.21
.17
.14
.12
.11
T
.28
.16
.11
.082
.065
.053
.044
.038
.033
m=6
n
2
3
4
5
6
7
8
X
2
X
3
X
2
S
T
S
T
S
.025
.016
.012
.0091
.0074
.0062
.035
.022
.015
.011
.0091
.0075
.0063
-.0046
-.0030
-.0022
-.0017
-.0014
-.0012
-.00074
-.00058
-.00048
-.00041
-.00036
-.00032
-.00029
.45
.30
.21
.17
.14
.12
T
.20
.12
.085
.063
.050
.041
.034
m=7
n
2
3
4
5
6
7
X
3
X
2
Xl
S
T
S
T
S
.019
.013
.0092
.0072
.028
.018
.012
.0093
.0074
.0060
-.0038
-.0025
-.0019
-.0015
-.00061
-.00048
-.00040
-.00035
-.00030
-.00027
.37
.24
.18
.15
T
.16
.098
.068
.051
.040
.033
e~
-11-
REFERENCES
Kjell A. Doksum (1967). "Robust procedures for some linear models with one
observation per cell". Annals of Mathematiaal Statistias 38, 878-883.
R.A. Fisher (1935).
Design of Experiments.
Jaroslav Hajek and Zbyn~k Sidak (1967).
Press, New York.
Oliver and Boyd, Edinburgh.
Theory of Rank Tests.
Academic
Myles Hollander (1967). "Rank tests for randomized blocks when the alternatives have an a priori ordering". Annals of Mathematiaal Statistias
38, 867-877.
A.R. Jonckheere (1954). "A test of significance for the relation between
m rankings and k ranked categories". British Journal of Statistiaal
Psyahology ~, 93-100.
Samuel B. Lyerly (1952). "The average Spearman rank correlation coefficient".
Psyahometrika !I, 421-428.
-e
E.B. Page (1963). "Ordered hypotheses for multiple treatments: a significance test for linear ranks". Journal of the Ameriaan Statistiaal
Assoaiation 58, 216-230.
M.L. Puri and P.K. Sen (1971). Nonparametria Methods in MUltivariate Analysis.
John Wiley and Sons, New York.
Dana Quade (1972). "Analyzing randomized blocks by weighted rankings".
Report SW 18/72, Mathematical Center, Amsterdam.
Dana Quade (1978). "Using weighted rankings in the analysis of randomized
blocks", submitted to Journal of the Ameriaan Statistiaal Assoaiation.
Claudio Silva (1977). "Analysis of Randomized Blocks Designs Based on
Weighted Rankings". North Carolina Institute of Statistics Mimeo Series
No. 1137.
Frank Wilcoxon (1945).
'!..., 80-83.
"Individual comparisons by ranking methods". Biometrias
Tl-l
e
•
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106
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108
109
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113
114
115
116
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- O. 433
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- o. 233
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- 0.167
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M= 4
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201
202
203
204
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210
211
212
213
214
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216
217
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230
231
232
233
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235
236
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239
240
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- 2.340
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- 2.214
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- 1. 961
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- 1.834
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- 0.949
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- 0.822
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245
246
247
248
249
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M= 4
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
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- O. 100
-0.080
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- 0.020
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,
-0.316
-0.253
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• 439510 13
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N= 5
-1.000
- O. 987
-0.973
- O. 960
-0.947
- 0.933
-0.920
- 0.907
-0.893
-0.880
-0.867
-0.853
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- O. 827
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- 0.800
-0.787
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-0.760
- 0.747
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- O. 72 0
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-0.693
-0.680
-0.661
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- 0.640
-0.627
- O. 613
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- 0.587
-0.573
- 0.560
-0.547
-0.533
-0.520
- 0.507
-0.493
- 0.480
-0.467
-0.453
-3.503
-3.451
- 3.410
-3.363
- 3.316
-3.270
- 3.223
-3.116
- 3. 130
-3.083
- 3. 036
-2.989
- 2.943
-2.896
- 2. U4 9
-2.803
- 2. 756
-2.709
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-2.616
- 2.569
-2.522
-2.476
-2.429
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-2.335
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-2.149
- 2. 102
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-1.962
- 1. 915
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342
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357
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359
360
361
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365
366
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11= 4
420
421
422
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426
427
428
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- 2. 978
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- 2.542
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- 2.324
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- 2.251
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- 2. 179
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- 2. 034
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- 1. 888
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562
563
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594
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600
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604
605
606
607
608
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610
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612
613
614
615
616
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- O. 950
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- O. 807
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- O. 793
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- O. 779
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- O. 693
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- O. 664
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- 0.650
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- 0.636
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- o~ 6 21
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- O. 607
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- O. 593
-3.894
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- 3.806
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- 3.630
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- 3.572
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- 3.513
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- 3.455
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- 3.338
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- 3.279
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- 3.220
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- 3. 103
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- 3.045
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- 2.986
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- 2.811
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- 2.752
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- 2. 6 93
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- 2.635
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.41063503
.42478123
.43782872
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Tl-14
M = 5,
525
526
527
528
529
530
531
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533
534
535
536
537
538
539
540
541
542
543
544
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546
547
548
549
550
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552
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554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
510
571
512
573
514
515
e
N=5
-1.000
- O. 993
-0.987
- O. 980
-0.973
- 0.967
-0.960
- O. 953
-0.947
- O. 940
-0.933
- O. 927
-0.920
- O. 913
-0.901
- 0.900
-0.893
- 0.887
-0.880
- O. 873
-0.867
- O. 860
-0.853
- 0.847
-0.840
- O. 833
-0.827
- O. 820
-0.813
- O. 807
-0.800
- 0.193
-0.187
- 0.780
-0.773
- 0.761
-0.760
- O. 753
-0.747
- 0.740
-0.733
-0.721
-0.120
- 0.113
-0.707
- 0.700
-0.693
- 0.687
-0.680
-0.613
-0.667
-4.045
-4.018
-3.991
-3.964
-3.937
-3.910
- 3.883
-3.856
-3.829
-3.802
-3.716
-3.149
-3.122
-3.695
-3.668
-3.641
- 3.614
-3.587
-3.560
-3.533
-3.506
-3.419
-3.452
-3.425
-3.398
-3.371
-3.344
-3.311
-3.290
-3.263
- 3.236
-3.209
- 3. 182
-3.155
-3.128
-3.101
-3.074
-3.047
-3.020
-2.993
- 2.966
-2.940
-2.913
-2.886
-2.859
-2.832
- 2.805
-2.778
-2.151
-2.124
- 2.697
.00000000
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.00005021
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.00009716
.00010904
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.00015554
.00017180
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• 0000000 8
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.00000081
.00000119
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.00000241
.00000338
.00000463
.00000625
.00000838
.00001108
.00001450
.00001878
.00002412
.00003066
.00003877
.00004848
.00006033
.00007449
.00009149
.00011141
.00013527
.00016295
.00019562
.00023325
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.000327Q6
.00038589
.000Q5185
.00052781
.00061341
.00071117
.00082021
.00094440
.00108208
.00123762
.00140942
.00160222
.00181381
516
571
578
579
580
581
582
583
584
585
506
581
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
6 16
617
618
619
620
621
622
623
624
625
626
-0.660
- O. 653
-0.647
- 0.64 a
-0.633
- O. 627
-0. (j 20
- 0.613
-0.607
- o. ()OO
-0. !j9J
- 0.587
-0. 5 flO
-0.513
-0.567
-0.5&0
-0.553
- O. 54 7
-0.540
- O. 533
-0.521
- 0.520
-0.513
- 0.507
-0.500
-0.493
-0. L'87
-0.480
-0.4" 3
- O./Hi 7
-0.460
-0.4:>3
-0.447
- O. 4lJ 0
-0. 1~33
-0.427
-0. 1'20
-0.413
-0.407
- 0.400
-0.393
-0.387
-0. 380
- 0.373
-0.361
- O. 360
-0.353
- O. 347
-0.340
- O. 333
-0.327
-2.610
-2.643
- 2.616
-2.~89
- 2.562
-2.535
- 2.500
-2.401
-2.1~54
-2.421
-2.400
-2.373
- 2.346
-2.319
- 2.292
-2.265
- 2.238
-2.211
- 2. 184
-2.157
- 2. 130
- 2.104
-2.077
-2.050
- 2. 0 23
- 1.996
-1.9f>9
-1.942
- 1. 915
-1.800
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-1.834
-1. 807
-1.780
- 1. 753
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-1.699
-1.612
- 1. 645
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- 1. 591
-1.564
- 1. 537
-1.510
-1. 483
-1.456
-1.1129
-1.402
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627
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629
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633
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647
648
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650
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652
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660
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-0.293
- 0.281
-0.280
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-0.261
- 0.260
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- 0.189
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M= 6
168
169
110
171
172
173
114
175
176
177
178
179
180
181
182
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185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
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205
206
207
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212
213
2111
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N= 2
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- O. 429
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-0.371
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- O. 276
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-0. 181
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- 0.124
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- 1. 686
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217
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11 = 6
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350
351
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355
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- 3. 142
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- 3.073
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394
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406
407
408
409
410
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1115
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259
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310
311
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317
318
319
320
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322
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324
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326
327
328
329
330
331
332
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.00000000
.00000000
.00000000
.00000001
.00000001
.00000002
.00000003
-0.51~8
-0.509
.08077058
.08793262
.09420699
.10191065
• 10888309
.11739185
.12432142
• 13 I~ 0 I~ 62 0
• 14207504
.15203903
• 160 69 I~ 1 4
.491S1953~
• 508001~54
N= 3
-1.000
- O. 994
-0.988
- O. 982
-0.976
.. 0.970
-0.964
- O. 958
-0.952
- 0.946
.00000000
.00000000
.00000000
.00000000
.00000000
.oooaooo 0
.00000001
.00000002
.00000003
.00000006
e'
.... ,
Tl-21
Tl-22
e
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
6.32
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
-0.333
- O. 327
-0. 321
- 0.315
-0. 310
- 0.304
-0.298
- o. 292
-0.286
- 0.280
-0.274
- O. 268
-0.262
- 0.256
-0.250
-0.244
-0.238
- 0.232
-0.226
- o. 220
-0.214
-0.208
-0.202
- 0.196
-0. 190
- 0.185
-0. 119
- 0.173
-0. 167
- 0.161
-0. 155
- 0.149
-0. 143
- 0.131
-0. 131
-0.125
-0. 119
- 0.113
-0. 107
-0.101
-0.095
-0.089
-0.083
-0.017
-0.071
-0.065
-0.060
- O. 054
-0.048
- o. 042
-0.036
-1.309
-1.286
-1.263
-1.239
- 1. 216
-1.192
-1.169
-1.146
-1.122
-1.099
-1.076
-1.052
-1.029
-1.005
-0.982
- O. 959
-0.935
-0.912
-0.888
-0.865
-0.842
-0.818
-0.795
-0.772
-0.748
-0.725
-0.701
-0.678
-0.655
-0.631
-0.608
-0.585
-0.561
-0.538
-0.514
-0.491
-0.468
-0.444
-0.421
-0.397
-0.314
-0.351
-0.327
- 0.304
-0.281
-0.257
-0.234
-0.210
-0.187
-.0.164
-0.140
.00426570
.00433506
.00453077
.00457157
.00475008
.00483733
.00499160
.00504915
.00526596
.00528916
.0054803<)
.00555723
.00572295
.00576314
.00599345
.00599577
.00620051
.00625964
.00643048
.00644999
.00669493
.00666855
.00687975
.00691750
.00709418
.00108621
.00733763
.00728113
.00749785
.00750911
.00168365
.00764582
.00790322
.00181255
.00802669
.00800A17
.00818097
.00811122
.00836434
.00824062
.00845053
.00840299
.00856237
.00846211
.00870857
.00855228
.00874835
.00861245
.00881889
.00868183
.00891880
.10192b84
• 10626191
.11079267
• 11!:J6425
.12011433
.12495166
• 12994327
• 13499301
.14025898
• 1455110 14
.15102852
• 15658575
.16230810
• 16807244
.17406589
• 18006166
.18626211
.19252181
.19895229
.20540229
.21209722
.21876577
.22564551
.23256301
.23965719
• 24614340
.25408103
• 26136216
.26886001
.21636918
.28405283
.29169864
.29960186
.30741441
.31544110
.32344987
.3316301J4
• 3397420 6
.34810640
.35634702
.36479755
.37320054
.38176291
.39022509
.39893366
.40148594
.41623430
.42490674
.43372563
.44241346
.45133226
667
668
669
670
671
672
-0.030
- O. 024
-0.018
-0.012
-0.006
0.000
-0.117
-0.094
-0.070
-0.047
-0.023
0.000
.00873352
.008913 20
.00881039
.008935A9
.0007790 2
.00899008
.46006578
• 46B9 7898
.14777U937
• 48672525
.49550487
• 50449 1195
••
..
T2-1
e
It= 3
0
1
2
3
4
5
M= 3
0
1
2
3
4
5
6
1
8
9
It= 3
-e
,
N= 2
-1.000
-0.778
-0.556
- 0.333
-0. 111
0.111
,
.02777776
.05555554
.11111108
.. 13888886
.16666664
.16666664
.02777776
.08333330
.19444438
.33333324
.49999988
.66666652
N= 3
-1.000
-0.889
- o. 778
-0.667
-0 .. 556
-0.444
- 0 .. 333
-0.222
- o. 111
0.0
,
- 2. 102
-1.635
-1. 168
-0.701
-0.234
0.234
-2.512
-2.233
- 1. 954
-1.675
-1.396
-1.117
- O. 83 7
-0.558
- 0.279
0·0
.00462963
.00925925
.01851851
.03240739
.04629628
.06'Hl1479
.07870368
.09259256
.10185182
.10185182
.00462963
.013B8A8R
.03240739
.06481478
• 1111110 6
.17592585
.. 25462953
.34722209
• 44907391
.55092573
-2.860
-2.670
- 2.479
-2.288
-2.098
-1.907
- 1. 716
-1.526
-1.335
-1 .. 144
-0.953
- O. 763
-0.572
- 0.3 81
-0. 191
0.0
.00077160
.00154321
.00308642
.00540123
.00925925
.. 013AA888
.01929011
.02623455
.03395060
• 04166665
.04938269
.05709874
.06327158
.06190121
.07098762
.07253083
.00(77160
.00231481
.00540123
.010802116
.02006171
.0339 SO 59
.05324071
.07947526
.11342586
• 15509251
.20447520
.26151394
.32484552
• 39274672
.46373435
.53626518
-3.169
-3.028
-2.887
-2.746
-2.605
-2.465
.00012860
.00025720
.00051440
.00090020
.00154321
.00257201
.00012860
.00038580
.00090020
.00180041
.00334362
.00591563
N= 4
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
M= 3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
-1.000
- O. 933
-0.867
-0.800
-0.733
-0.667
-0.600
- O. 533
-0.467
-0.400
-0.333
- O. 26 7
-0.200
- 0.133
-0.067
0.0
fI= 3
, N= 5
0
1
2
3
4
-1.000
-0.956
- O. 911
-0.867
- O. 822
-0.778
0
1
2
3
4
5
5
,I
6
7
8
9
10
11
12
13
14
15
16
11
18
19
20
21
22
23
24
25
26
27
28
29
-0.733
-0.609
-0.644
- 0.600
-0.556
- O. 511
-0.467
- o. 4n
-0.378
- O. 333
-0.209
-0.244
-0.200
-0.156
-0. 111
- 0.067
-o.on
0.022
,
- 2.324
-2.183
- 2.042
-1.901
-1.760
-1. G2 0
-1.479
-1.338
-1.197
-1.056
-0.915
- O. 775
-0.f>34
-0.493
-0.3S2
-0.211
-0.070
0.070
.00372942
.005 110123
.00745884
.01003086
.01311727
.0164(,089
.02031892
.024434 14
.. 020U0657
.03330759
.03755142
.041 fir) 664
• 04~J9(l06
.. 0486 1108
.. 05110310
.052051191
.05375511
.05375511
-3.449
-3.339
-3.230
- 3. 120
-3.011
- 2.90 1
-2.792
- 2. 682
-2.573
- 2.464
-2.354
- 2. 245
-2.135
- 2.026
-1.916
-1.807
-1.697
-1.588
-1 .. 478
-1.369
-1.259
-1. 150
-1.040
- o. 931
- 0.821
-0.712
-0.602
-0.493
-0.383
-0.2H
.00002143
.00004287
.00008573
.00015003
.00025720
.0001.j2867
.00056444
.0009059ll
.00141461
.00964505
.OE:04628
• 022~10513
.03253598
• 0 II 5 (. 532 6
.06211415
.0!!~4J307
.10686721
.135fi7378
• 1GA <) fl13 7
• 206~)3279
.24819943
.293~195119
• 34 ~ 206 S8
.39338%8
.446244'i9
.49999970
.55375482
N= 6
-1.000
-0.968
- O. 937
-0.905
-0.873
-0.841
- O. 81 0
-0.778
- O. 746
-0. 714
- 0.683
-0.651
- O. 619
-0.587
-0.556
-0.524
-0.492
-0.460
- 0 .. 429
-0.397
-0 .. 365
-0.333
- O. 302
-0.270
- 0.238
-0.206
- 0.17 5
-0. 143
- 0.111
-0.079
.001971BH
.0027006 1
.00360C82
.00467249
.005S5850
.007 115884
.00919495
.. 01114540
.0132P.874
.01560355
.01808984
.02070472
.02340533
.02610595
.02876370
.03133571
.03377913
.03600821
.03795865
.039566 16
.040eOS30
.00002143
.00006 1130
.00015003
.00C30007
.000 55727
.00098594
.00165038
.0026 3(,) 1
.00405092
.00602280
.00872341
.01232423
.01699673
.022'J5523
.03041407
.03960902
.05075441
• C6404 316
.07964671
.09773655
• 11844126
.14184659
• 1679') 254
.19671624
.22805195
.26183108
.29783928
.33579793
.37536409
.41617340
.f'"
T2-2
H = 3,
30
31
32
n= 3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
-0.048
-0.016
0.016
,
-0. 164
-0.055
0.055
.04168807
.04213817
.04213817
.45786147
• 499q9 964
.54213782
-3.701
-3.619
-3.531
-3.443
-3.354
-3.266
-3.178
-3.090
- 3.001
-2.913
- 2.825
-2 .. 736
- 2.648
-2.560
-2.472
-2.383
-2.295
-2.207
- 2. 119
-2.030
-1.942
-1.854
-1.765
-1.677
- 1. 589
-1.501
- 1. lJ 12
-1.324
- 1. 236
-1.148
-1.059
- 0.971
-0.883
-0.794
-0.706
-0.618
-0.530
-0.441
-0.353
-0.265
-0.177
-0.088
0.0
.00000357
.00000714
.00001429
.00002501
.. 000011287
.00007144
.00011074
.00017147
.00025006
.00035722
.00050011
.00068587
.00092164
.001211156
.00157893
.00201832
.00254344
.00316501
.00388660
.001111536
.00565843
.00671939
.00789465
.00918066
.01057741
.,01207418
.013G6025
.01532492
.01704674
.. 01880428
.02057969
.02234795
.02408406
.02575944
.02734909
.02882799
.030161101
.03134285
.03233594
.03312897
.03370768
.03405176
.03417921
.00000357
.00001072
.00002501
.0000500 1
.00009288
.00016432
.00027506
.000114653
.00069659
.00105381
.00155392
.00 V3979
.00316143
.00437600
.00595493
.00797324
.01051668
.01368168
.01756828
.02228364
.02794207
.0346614fi
.04255Gll
.05173677
.06231418
.07438836
.08804861
• 10137353
.12042027
.13922455
.15980424
• 18215219
.20b23624
.23199568
.25934477
.28817276
.31833677
.34967963
.. 38201557
.41514454
.44885222
.48290998
.51708919
N= 7
-1.000
- O. 976
-0.952
-0.929
-0.905
- O. 881
-0.857
- O. 833
- 0.810
- O. 786
-0.762
-0.738
-0.714
-0.690
-0.667
-0.643
-0.619
- 0.595
-0.571
-0.548
-0.524
- O. 500
-0.476
-0.452
-0.429
- 0.405
-0. 3131
-0.357
-0.333
- 0.310
-0.286
- O. 262
-0.238
- O. 214
-0. 190
- 0.167
-0. 143
- 0.119
-0.095
- 0.071
-0.048
- O. 024
0.0
0
1
2
3
4
5
6
7
8
9
10
11
12
13
111
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
N
e
=8
-1.000
-0.981
-0.963
-0.944
- 0.926
-0.907
- 0.889
-0.870
- O. OS2
-0.833
- O. 815
-0.796
- O. 178
-0.75<)
- 0.741
-0.722
- o. 704
-0.605
- 0.667
-0.640
- 0.630
-0.611
- 0.593
-0.574
- 0.556
-0.537
- 0.519
-0.500
- 0.1181
-0.463
-0.444
-0.426
- O. 407
-0. 389
- 0.370
-0.352
- 0.333
-0. J 15
- 0.296
-0.278
-0.259
-0. 24 1
- O. 222
-0.204
- O. 185
-0. 167
-0.148
-0. 130
- 0.111
-0.093
- O. 074
-3. q49
-3.876
-3.003
-3.729
-3.656
- 3.583
-3.510
-3.437
-3.364
- 3. 291
-3.218
- 3. 144
-3.071
- 2.998
-2.925
- 2.852
-2.719
-2.706
-2.633
- 2.. 559
-2.IH16
- 2.413
-2.340
-2.267
-2.194
- 2. 121
-2.048
-1.974
-1.901
-1.828
-1.755
- 1. 682
-1.609
-1.536
-1.463
-1.389
-1.316
-1.243
-1.170
- 1. 097
-1.024
-0.951
- O. 878
-0.004
-0.731
-0.658
- O. 585
- o. 512
-0.1139
-0.366
-0.293
.00000060
.00000119
.00000238
.00000417
.00000714
.00001191
.000011346
.00002858
.00004287
.. 00006192
.00008812
.00012265
.00016790
.00022624
.000] 0007
.000393511
.00050845
.. 00064896
.00081923
.. 00102285
.. 00126457
.00154857
.00187900
.00226004
.00269466
.00318763
.00374133
.00435873
.00504 162
.00579060
.00660626
.00748623
.. 00842930
.00943250
.01049048
.01159907
.01274933
.013931112
.01514392
.. 01636742
.. 01759567
.01881500
.. 02001400
n021179!:l2
.. 02229793
.. 02335110
.02434364
.02524622
.026054 15
.02675609
.02734432
.00000060
.00000179
.00000417
.000a0834
.0000 1548
.00002739
.00004584
• 000071142
.00011729
.00017921
.00026732
.00038997
.OO0557(lfi
.. 00076411
.00 10 Bl.j 17
.00147772
.00198617
• ()O2(,3512
.00345436
.00447721
.. 00574178
.00729035
.00916935
.01142938
.0 1 I.: 12404
.01731167
.02105300
.02541173
.03045335
.03624396
.04:-85022
e~
.0503:~b1.~'i
.05876575
.06019825
.078 68873
.09028780
• 1030371]
.11697126
.13211518
.14848260
• 1660 7827
.184B9326
• 20490734
.22(;08717
.24838510
.27174220
.29608584
.32133206
.34738621
.37414230
.40148662
~t'
T2-3
_
51
52
53
54
H= 3
0
1
2
3
4
--
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
- O. 056
-0.037
- O. 019
0.0
,
-0.219
-0. 1 Q6
-0.073
0.0
.02780931
.02814569
.02841718
.42929 S9 3
.45744162
.48579093
.51420812
-4. 116
-4.114
-4.052
-3.991
-3.929
-3.867
-3.805
-3.743
-3.681
-3.619
-3.557
-3.496
- 3.434
-3.372
-3.310
-3.248
- 3. 186
-3.124
-3.063
-3.001
-2.939
-2.877
- 2.815
-2.153
-2.691
-2.629
- 2.568
-2.506
- 2.444
-2.382
-2.320
-2.258
-2. 196
-2.134
-2.013
-2.011
-1.949
-1.887
-1.825
-1.763
- 1. 101
-1.640
-1.578
-1 .. 516
.00000010
.00000020
.00000040
.. 00000069
.00000119
.00000198
.00000308
.00000476
.00000714
.00001052
.00001508
.00002123
.00002931
.00004009
.00005398
.00007174
.0000Q427
.00012245
.00015738
.00020024
.00025244
.00031545
.00039096
.00048066
.00058644
.000"/1028
.00085416
.00102027
.00121079
.00142790
.00167389
.00195064
.00226024
.00260456
.00298520
.00340375
.00386120
.. 0043585 3
.0041:9615
.00547416
.00609206
.00674896
.00744366
.00817408
.00000010
.00000030
.00000069
• 00000 139
.00000258
.00000456
.00000764
.00001240
.00001955
.00003007
.00004515
.00006638
.00009576
.00013584
.00018982
.00026151
.00035583
.00047828
.00063566
.00083590
.00108834
.00140379
.00179475
.00227542
.00286186
.0035721/'
.00442630
• 00 ~44657
.00665737
.00808527
.00975916
.01170980
.01397004
.01657460
.01955980
.02296355
.02682475
.03118328
.03607943
.0415!:359
.04764565
.05439461
.06183827
.01001235
.02831J931
N= 9
-1.000
- O. 985
-0.910
- O. 956
-0.941
- O. 926
-0.911
-0.89&
-0.881
- O. 867
-0.852
- O. 837
-0.822
- O. 807
-0.793
- O. 778
-0.763
- O. 74 8
-0.733
- O. 719
-0.704
-0.689
-0.674
-0.659
-0.644
- 0.630
-0. 615
- 0.600
-0.585
- 0.570
-0.5~6
- O. 541
-0.526
- O. 511
-0.496
-0.Q81
-0.467
- O. 452
-0.437
- O. 422
-0.407
- 0.393
-0.378
- O. 363
411
45
46
111
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
It= 3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
- O. 3/.8
-0.333
- O. 319
-0.304
-0.2119
-0.2H
-0.259
-0.244
-0.230
-0.21')
-0.200
-0.105
-0. 110
-0.156
-0. 1/"
- 0.126
-0. 111
-0.096
-O.Olll
- O. 067
-0.052
- 0.037
-0.022
- O. 007
0.007
,
-0.035
-0.77.1
-0.711
-0.li50
-0.588
-0.526
-0.464
- 0.402
-0.340
- O. 278
-0.217
- 0.155
-0.093
- O. 03 1
0.031
.00893795
.00973207
.01 05S3 00
.01139664
.01225!l14
.01313315
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.. 01489952
.01577899
.. 01664744
.01749fl13
.018324/11
.01911943
.01907645
.02058901
.02125061
.02185551
.02239195
.. 02287286
.02327583
.02360299
.02385126
.024011:06
.. 02410191
.02410191
.07895029
.08868237
.09923536
.11063200
• 1229901 S
.136023 119
.15003898
.16493850
• 180117 119
• 19136493
.2148&301i
.23318746
.25230689
• 27218334
.29277235
.31402302
.33587859
.35821b"i4
.381149 110
.40442524
.42802823
.45187949
.47589755
.49999946
.52410138
-4.392
-4.338
-4.2U5
-4.232
-4.179
-4.125
-4.072
-4.019
-3.966
-3.912
-3.859
-3.806
- 3.753
-3.100
-3.646
-3.593
- 3.540
-3.487
-3.433
-3.380
- 3.327
-3.274
-3.220
.. 0000000 2
.00000003
.00000001
.00000012
.00000020
.00000033
.00000051
.00000019
.00000119
.00000115
.00000255
.0000036 1
.00000503
.00000691
.00000939
.00001262
.00001674
.00002200
.00002861
.00003688
.00004713
.00005972
.00007508
.00000002
.00000005
.00000012
.00000023
.00000043
.00000016
.00000127
.00000207
.00000326
.00000501
.. 00000156
.00001116
.00001619
.00002310
.00003250
.00004512
.00006185
.00008385
.. 00011246
.00014934
.00019641
.00025619
.00033128
-1.1J54
-1.392
-1.3.10
-1.268
-1.206
-1.145
-1.083
-1.021
-0.959
-o.on
N= 10
-1.000
- 0.988
-0.916
-0.964
-0.952
- O. 939
-0.927
- 0.. 915
-0.903
- 0.891
-0.879
- O. 867
-0.855
- O. 842
-0.830
- O. 818
-0.806
- O. 794
-0.782
- 0.770
-0.758
- O. 745
-0.733
.'
T2-4
e
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
114
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
12
73
-0.721
- 0. 709
-0.697
-0.685
-0.673
- 0.661
-0.648
-0.636
-0.624
- O. 612
-0.600
- O. 588
-0.576
- O. 564
-0.552
- O. 539
-0.527
-0~515
-0.503
- O. 491
-0.479
- 0.467
-0.455
- O. 442
-0.430
- 0.418
-0.406
- o. 394
-0.382
- 0.370
-0.358
-0.345
-0.333
- 0.321
-0.309
- O. 297
-0.285
- 0.273
-0.261
-0.248
-0.236
-0.224
- 0.212
-0.200
- 0.188
-0. 176
-0.164
-0. 152
- 0.139
-0. 121
- 0.115
-3. 167
-3.114
-3.061
-3.008
-2.954
-2.901
- 2.848
-2.195
- 2.741
-2.688
- 2.635
-2.582
- 2.528
-2.475
-2.422
-2.369
-2.316
-2.262
-2.209
-2.156
- 2. 103
-2.049
- 1. 996
-1.943
-1.890
-1.836
- 1. 783
-1.130
-1.677
-1.624
-1.570
-1.517
- 1.464
-1.411
-1.357
-1.304
-1. 251
-1.198
- 1.144
-1.091
-1.038
-0.985
-0.932
-0.878
- O. 02 5
-0.112
- 0.719
-0.665
-0.612
-0.559
- 0.506
.00009371
.00011613
.00014296
.00017481
.00021245
.00025664
.00030824
.. 00036817
.. 00043737
.00051688
.00060779
.. 00071121
.00082830
.00096019
.00110812
.00127327
.00145683
.00165997
.00188373
.00212924
.00239744
.. 00268920
.00300531
.00334633
.00311218
.00410493
.. 0045/.292
.00496664
.00543569
.00592962
.00644'756
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.00155106
.00813366
.00873451
.00935146
.00998220
.01062409
.01127426
.01192913
.01258724
.0132433Cj
.01389466
.01453135
.01516177
.01518213
.01631664
.01694151
.01749115
.01800386
.01848225
.00042498
.00054111
.00060401
.00005888
.00107132
.00132796
.00163620
• 00 ~OO 437
.00244174
.00295862
.00356642
.00 q21762
.00510592
.00606611
.00717423
.00844750
.009<)0433
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.01344803
.01 c,<j7127
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.02066390
.02366922
.02701555
.03072833
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.03935618
.04432282
.04975851
.05568813
.06213~70
.069 12411
.07667523
.00480889
.09354340
• 10289486
.11287706
.12350115
.13477541
.14670514
.15929238
.11253576
• 18643043
.20096118
.21613554
.23191167
.24829431
.26524188
.28213303
.30073689
.31921914
74
75
76
77
18
79
80
81
82
83
1'1= 3
0
1
2
3
4
5
(,
7
8
9
10
"
12
13
14
15
16
11
18
19
20
21
22
23
24
25
26
21
28
29
30
31
32
33
34
35
36
37
- 0.103
-0.09 1
-0.019
-0.067
- O. 055
-0.042
- O. 03 0
-0.018
-0.006
0.006
,
-0.452
-0.399
-0.3 116
-0.293
-0.2/l0
-0. 186
- 0.133
-0.080
- 0.027
0.027
.01092302
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.019990]9
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.02046500
• 020G? 55 9
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.357/16532
• 3171 q 509
.J9713'i tl8
.41738825
.437135326
.45847885
.47921210
.11991)9940
.52078670
-4.597
-4.550
-4.504
-ll.451
- 4.411
-4.365
- 4.318
-4.272
- 4. 225
-ll.119
-4. 132
-4.01l6
-4.040
-3.993
- 3.947
-3 .. 900
- 3. 854
-3.807
-3.761
-3.715
-3.668
.00000000
.00000001
.. 00000001
.. 0000000 2
.00000003
.00000006
.00000009
.00000013
.000C0020
.00000029
.00000042
.0000006 1
.00000085
.00000 117
.00000160
• 000a02 17
.00000290
.00000384
.00000503
.00000654
• COOO0844
.00001080
.00001372
.00001730
.00002168
.00002100
.00003341
.00004 110
.00005028
.00006 117
.00007QOS
.00008919
.00010690
.00012753
.00015145
.00000000
.00000001
.00000002
.00000004
.00COOO07
.00000013
.00000021
.00000034
.00000054
.000000 !l4
.00000126
.000001 H'7
.00000272
.00000389
.00000549
.00000766
.00001056
.00001440
.00001943
.00002598
.00003442
.00004522
.00C05894
• 00001624
.00009793
.000 124«:2
.00015833
.00019943
.00024910
.00031088
.00C38493
.00047412
.00050102
.00070855
.. 00C86000
.00103908
.00124991
.00 149111
N= 11
-1.000
- O. 990
-0.980
- O. 970
-0.960
-0.949
-0.<))9
-0.929
-0.919
- 0.909
-0.899
- O. 089
-0.879
- O. 869
-0.059
- O. 84 B
-0.838
-0.828
-0.018
- 0.808
-0.198
-0.788
-0.178
- O. 768
-0.158
-0.147
-0.131
- 0.727
-0.717
- 0.101
-0.697
-0.687
-0.677
- 0.667
-0.657
- O. 646
-0.636
- O. 626
-3.622
- 3.575
-3.529
-3.482
-3.436
-3.390
-3.343
-3.291
-3.250
- 3. 204
-3.151
- 3. 111
-3.065
-3.018
-2.972
-2.925
-2.879
.00017~08
.00021083
.00024720
e~
.....
T2-S
e
#e
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
5]
54
55
56
57
58
59
60
61
62
63
64
65
66
61
68
69
70
71
72
73
74
75
76
77
78
19
80
81
82
83
84
85
86
87
88
- O. 616 -2.832
-0.606 -2.786
- 0 .. 596 -2.739
-0.586 - 2.693
- O. 576 -2.647
-0.566 -2.600
- O. 556 -2.554
-0.545 -2.507
- O. 535 -2. 1'61
-0.525 -2.414
- 0.515 -2.368
-0.505 -2.322
- O. 495 -2.275
-0.485 -2.229
- O. 475 -2.182
-0.465 - 2. 136
-0.455 -2.089
-0.4114 -2.043
- 0.1134 -1.997
-0.424 -1.950
- 0.414 -1.904
-0.404 -1.857
- 0.394 -1.811
-0.384 -1.164
-0.374 -1.718
-0.364 -1.672
- O. 354 -1.625
-0.3113 -1.579
- O. 333 -1.532
-0.323 -1.486
-0.313 -1.439
-0.303 -1.393
- 0.293 -1.3117
-0.283 - 1. 300
-0.273 -1.254
-0.263 -1.207
- 0.253 -1.161
-0.2112 - 1. 114
- 0.232 -1.068
-0.222 - 1. 022
- O. 212 - 0.975
-0.202 -0.929
- 0.192 -0.882
-0. 182 -0.836
- 0.172 -0.189
-0. 162 -0.143
-0.152 -0.696
-0. 141 -0.650
-0.131 -0.604
-0. 121 -0.557
- O. 111 -0.511
.00028866 .00178577
.00033577 .00212154
.00038908 .00251061
.00044917 .00295918
.00051667 .00347645
.00059220 .00406865
.00067643 .00474507
.00017003 .00551510
.00087368 .00638878
.00098808 .00737686
.0011 13 90 .00849076
.00125185 .00574261
.00140259 .01114521
.00156679 .01271199
.00174505 .01445704
.00193798 .01639503
.00214614 .01854111
.00237002 .02091119
.00261007 .02352125
.00286665 .02638790
.00314006 .02952796
.00343052 .03295848
.00313815 .03669664
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90
91
92
93
94
95
96
97
98
99
I!'" 3
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
11
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
- 0.101
-0.091
-0.081
-0.071
- O. 061
-0.051
- 0.040
-0.030
- 0.020
-0.010
0.0
,
-0.464
-0.418
-0.371
-0.325
- 0.279
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-0.186
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- O. 093
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• 47 27~041
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-4.793
-4.752
-4.111
-4.670
-4.629
-4.588
- 4.547
-4.506
-4.465
-4.11211
-11.384
-4.3113
-4.302
- 4.261
-4.220
-4.119
-11.138
-4.097
-4.056
-11.015
-3.974
- 3.933
-3.892
- 3. 851
-3.610
- 3.769
-3.728
- 3.687
-3.646
-3.605
-3.5611
- 3.523
-3 .. 4 82
-3.441
-3.1100
-3.359
-3.318
.00000000
.00000000
.00000000
.00000000
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.. 00000001
.00000001
.00000002
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.. 00000005
.00000007
.00000010
.00000014
.00000020
.00000021
.00000037
.. 00000049
.00000066
.00000087
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.00000147
.00000190
.00000243
.00000309
.. 00000390
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.. 00000611
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.. 00000936
.00001149
.00001405
.. 00001709
.00002010
.00002495
.00002996
.00003582
.00004265
.00000000
.00000000
N=12
-1.000
-0.991
- 0.983
-0.974
- O. 966
-0.957
- 0.949
-0.940
- O. 932
-0.923
- O. 91 5
-0.906
- o. 897
-0.889
- O. 080
-0.872
- 0.863
-0.855
-0.8116
-0.838
- O. 829
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-0.803
- 0.795
-0.706
-0.778
-0.769
- 0.761
-0.752
- O. 144
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- O. 726
-0.118
- o. 709
-0.701
- 0.692
~OOOOOOOO
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.00000001
.00000002
.00000004
.00000006
.00000009
.00000014
.00000021
.00000031
.00000045
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• OOOOOD 92
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.000002411
.00000331
.00000444
.00000592
.00000781
.00001024
.00001333
.00001123
.. 00002212
.00002823
.00003580
.. 00004516
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.. 00008779
.00010849
.00013344
.00016340
.00019922
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T2-6
e
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
19
80
81
82
83
84
85
86
87
- 0.684
-0.675
-0.667
-0.658
- O. 650
-0.64 1
- 0.632
-0.624
-0.615
-0.607
-0.598
-0.590
-0.581
-0.573
- O. 564
-0.556
- O. S4 7
-0.538
- 0.530
-0.521
-0.513
-0. 50 4
-0.496
-0.481
- O. 479
-0.470
-0.462
-0.453
-0.1S41S
-0.436
-0.427
-0.419
- 0.410
-0.402
- 0.393
-0.385
- 0.376
-0.368
-0.359
-0.350
- 0.342
-0.333
- O. 325
-0.316
- 0.308
-0.299
- 0.291
-0.282
- 0.274
-0.265
- 0.256
-3.277
- 3. 236
-3.195
-3. 154
-3.114
-3.073
-3.032
-2.991
-2.950
-2.909
-2.868
-2.827
-2.786
- 2.745
-2.701S
- 2.663
-2.622
-2.581
-2.540
-2.499
-2. 1.58
-2.417
-2.376
- 2.335
-2.294
- 2.253
-2.212
-2. 171
-2.130
- 2.089
-2.01S8
-2.007
-1.966
-1.925
-1.884
-1.844
-1.803
-1.762
-1.721
-1.680
-1.639
- 1. 598
-1.557
- 1. 516
-1.415
- 1. 434
-1.393
-1.352
-1.311
-1.270
-1.229
.00005059
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.00007039
.00008258
.00009654
.00011249
.00013063
.00015122
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• G0020074
.00023024
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.00030023
.00034139
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.00043778
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.00062322
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.00086734
.00096369
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.00118134
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.00143498
.00157626
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• 00 188~54
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.00224587
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.00264732
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.00385596
.001413298
.00442150
.00472127
.005032 00
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.00568467
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.00637560
.00673386
.00709968
.00747224
.00785066
.00029246
.00035224
.00042263
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• 10021 J7 3
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99
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105
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111
112
113
114
115
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N= 2
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N= 3
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-0.833
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- O. 667
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- 0. 556
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- 0.444
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- 0.333
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- 2. 127
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- 0.933
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- O. 867
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- O. 800
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- O. 733
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- 0.661
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- 2.853
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- 2.605
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- 2.357
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12
13
14
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16
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18
19
20
21
22
23
24
25
26
27
28
29
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11= 4
0
1
2
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4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
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25
26
27
28
-0.600
-0.567
-0.533
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- 1.861
- 1. 736
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- 1.486
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- 1.240
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-0.620
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- 3.206
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- 3. 023
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- 2.840
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- 2.657
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- 2.473
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- 2. 107
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- 1. 924
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- 1. 741
- 1.649
- 1.557
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5
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36
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39
40
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11
12
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14
15
16
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26
27
28
29
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- 0.333
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- O. 289
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- 4.2 73
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- 3.917
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- 3.632
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-2.991
- 2.920
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- 2.706
- 2.635
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- 2.493
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N= 6
-1.000
- 0.984
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- O. 952
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- 0.921
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- 0.889
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- O. 857
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- 0.825
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- 0.667
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- 0.571
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- 0.540
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31
32
33
34
35
36
31
38
39
40
41
42
43
44
45
46
47
/J8
49
50
51
52
53
5/J
55
56
57
58
59
60
61
62
63
M= 4
-0.508
- 0.492
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- O. 460
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- 0.397
-0. 381
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-0. 349
- 0.333
-0.317
- 0.302
-0.286
- 0.270
-0.254
- 0.2313
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-0.206
-0. 190
- 0.175
-0. 159
- 0.143
-0. 127
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- 2. 13 7
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- 1.994
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- 1. 852
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- 1. 567
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- 1. 424
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- 1.282
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- 0.926
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-0.783
-0.712
- O. 641
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-0.427
- 0.356
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0
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- O. 988
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- O. 964
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- 0.940
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- O. 869
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- 4.593
- 4.536
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T2-9
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15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
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37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
51
58
59
60
61
62
63
64
65
-0.821
- 0.810
-0.798
- O. 786
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-0.762
-0.750
- O. 738
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- 0.714
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- o. 643
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- O. 595
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- O. 4 76
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- 0.452
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- 0.429
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- 0.286
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-3.790
-3.732
-3.675
-3.617
-3.560
-3.502
-3.445
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-3.330
- 3.273
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-3.158
-3.101
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-2.986
-2.928
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- 2.813
-2.756
-2.699
-2.641
- 2.584
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-2.469
-2.412
-2.354
-2.297
-2.239
- 2.182
- 2. 124
-2.067
- 2.010
-1.952
-1.895
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- 1. 321
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• 11012018
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66
67
68
69
70
71
72
73
74
75
76
77
18
79
80
81
82
83
84
Mo: 4
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
2S
26
21
28
-0.214
- 0.202
-0. 190
- 0.179
-0. 167
- 0.155
-0. 143
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- 0.107
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,
-1.034
-0.976
-0.919
- 0.861
-0.804
-0.746
-0.689
- 0.632
-0.574
- O. 517
-0.459
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- O. ] 45
-0.2U1
-0.230
-0.172
-0. 115
-0.057
0.0
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.00000000
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• 00000010
.00000016
.00000025
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.00000116
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.00000328
.00000455
• 00000624
.00000849
.00001145
.. 00001532
.00002035
N= 8
-1.000
-0.991
-0.981
- 0 .. S72
-0.963
- O. 954
-0.944
- 0.935
-0.. 926
- 0.917
-0.907
- O. 898
-0.889
- 0.880
-0.870
- 0.861
-0.852
- O. 843
-0.033
-0.B24
-0.815
- O. 806
-0.796
- 0.787
-0. 718
- O. 769
-0.759
- 0.750
-0.741
-5.137
-5.089
-5.042
-4.994
- 4.947
-4.099
-4.852
- 4.804
- 4.757
-4.709
- 4.661
-4.614
-I~. 566
-4.519
-4.ln1
-4. /124
- 4.376
-1l.328
- I••
281
-/~.233
-4.186
-4.138
-4.091
-4.043
-3.995
-3.948
-3.900
-3.853
-3.805
.ooacoooo
.00000000
.OOOCOOOO
.00000001
.00000001
.00000002
.00000002
.00000004
.00000006
.00000009
.00000012
.00000018
.00000025
.00000036
.00000050
.00000069
.00000094
.00000126
.0000016<;
.00000225
.00000296
.00000387
.00000503
~t •
T2-10
e
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
46
49
50
51
52
53
54
5S
56
51
58
59
60
61
62
63
611
65
66
61
68
69
70
71
72
73
7 11
15
76
77
78
79
-0.731
- O. 722
-0.713
-0.704
-0.694
- O. 605
-0.676
- O. 667
-0.657
- 0.648
-0. 639
- 0.. 630
-0.620
- 0.611
-0.602
-0.593
-0.583
- O. 574
-0.565
- 0.. 556
-0.546
- 0.537
-0.528
-0.519
-0.509
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-0.435
- o. 42 6
-0.417
- O. 1107
-0.398
- 0.389
-0.380
- 0.370
-0. 361
- O. 352
-0.343
- O. 333
-0.324
- 0.315
-0. 306
- O. 296
-0.287
-0.278
-0.269
-3.758
-3.710
- 3.663
-3.615
-3.567
-3.520
-3.472
-3.425
-3.377
-3.330
- 3. 282
-3.2H
-3. 187
-3.139
-3.092
-3.044
- 2.997
-2.949
- 2.901
-2 .. 854
- 2.806
-2.759
- 2.711
-2.664
- 2.616
-2.569
- 2.521
-2.473
- 2.. 426
-2.378
-2.331
-2.283
-2.236
-2.188
- 2. 140
-2.093
- 2. 045
-1.998
.- 1. 950
- 1.903
-1.855
-1.801
- 1. 760
-1.712
- 1. 665
-1.617
- 1.; 570
-1.522
- 1.1175
-1.427
-1.379
.00000648 .00002683
.00000829 .00003512
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.00157619 .01260161
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.00351319 .03320459
.00383558 .03704017
.00411653 .04121669
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.00530923 .05597551
.00572225 .06169776
.00615205 .06784982
• C06597S11 .07444766
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.00753343 .08903975
·
80
81
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8 11
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86
87
88
89
90
91
92
93
94
95
96
91
98
99
100
101
102
103
104
105
106
107
108
-0. 259
-0.2')0
-0. 241
- o. 23 1
-0.222
- 0.211
-0.204
- 0.194
-0. 185
- O. 176
-0. 167
-0.157
-0. 148
-0.119
-0. 130
- O. 120
-0 .. 1 1 1
- O. 102
-0.093
- 0 .. 083
-0.074
-0.065
-0.056
- O. 046
-0.037
- 0.028
-0.019
-0.009
0.0
- 1. 332
-1.284
-1.237
-1.189
- 1. 142
-1.094
-1.046
- 0.999
-0. <151
- 0.904
- o. U'i 6
-0.009
- O. 761
-0.713
-0.&66
-0.610
- o. ':I 71
-0.523
-0.476
-0.IJ28
-0.301
-0.333
-0.285
-0.238
- O. 190
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- 0.040
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ft:= 5
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N: 2
30
-0.067
-0.033
0.0
It= 5
, N= 4
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
-1.000
-0.980
- 0.960
-0.940
- O. 920
-0.900
- 0.000
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- 0.840
-0.820
- O. 800
-0.100
- 0.760
-0.740
-0.720
-0.700
-0.680
-0.660
- O. 640
-0.620
- 0.6 00
-0.580
-0.560
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- 0.520
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- 0.440
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-0.380
- 0.3GO
-0.340
- 0.320
-0.300
- O. 280
-0.260
-0.240
-0.220
- 0.200
-0. 180
- 0.160
-0. 140
- 0.120
28
29
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1
2
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5
6
7
8
9
10
11
12
13
14
15
H= 5
0
1
2
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3
4
5
6
7
8
9
10
11
12
13
111
15
16
17
18
19
20
21
22
23
24
25
26
27
-1.000
- O. 933
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- O. 733
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- 2. 191
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-1.534
-1. 315
-1.095
-0.876
-0.657
-0.430
- O. 219
0.0
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• 16916662
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-3.928
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-3.666
-3.535
-3.404
-3.273
-3.142
-3.011
-2.800
-2.750
-2.619
-2.488
-2.357
-2.226
- 2. 095
-1.964
- 1. 833
-1.702
- 1. 511
-1.440
-1.309
-1.178
-1.041
- O. 917
-0.786
-0.655
-0.524
-0.393
.00000058
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N= 3
-1.000
- O. 967
-0.933
- 0.900
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- O. 833
-0.800
- 0.767
-0.133
- 0.700
-0.667
-0.633
-0.600
- O. 567
-0.533
-0.500
-0.467
- O. 433
-0.400
- 0.367
-0.333
- 0.300
-0.267
- 0.233
-0.200
- 0.167
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- 0.1 00
- 0.2 62
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0.0
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-4.472
-4.303
-4.293
-4.204
-4.114
-4.025
-3.935
-3.846
-3.757
-3.667
-3.570
- 3. 488
-3.399
- 3. J09
-3.220
- 3. 130
-3.041
-2.952
-2.862
-2.17J
-2.683
- 2.594
-2.504
- 2.415
-2.326
- 2.236
-2.147
- 2. 057
-1.968
- 1. 078
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-1.699
-1.610
-1.521
-1.431
-1.342
-1.252
- 1. 163
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• 00000340
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• 31~26940
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45
46
47
48
49
50
M= 5
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
- 0.100
-0.080
- O. 060
-0.040
- O. 020
0.0
,
- 0.4 47
-0.358
-0.268
-0. 119
- O. 089
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• q 1360 450
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• ~ 1740375
N= 5
-1.000
- O. 987
-0.973
- O. 960
-0.947
- 0.933
-0.920
- 0.907
-0.893
- 0.880
-0.867
- 0.853
-0.040
- O. 827
-0.813
- o. 800
-0.787
- O. 773
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- O. 74 7
-0.733
-0.720
-0.707
- O. 693
-0.680
-0.667
-0.653
- 0.640
-0.627
- O. 613
-0.600
- 0.587
-0.573
-0.560
-0.547
- 0.533
-0.520
- O. 507
-0.493
- 0.1180
-0.467
- O. 453
-4.. 954 .00000000 .OOCOOOOO
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- 4.558 .00000002
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- 4.426 .00000006 .00000012
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-4.228 .00000032 .00000074
- 4. 162 .00000054 .00000128
-4.096 .00000087 .00000215
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-3.963
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-3.831
.00002064
- 3.765 .00000701
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-3.699
-3.633 .00001436 .00004511
-3.567 .00002013 .00006525
-3.501 .00002786 .00009310
-3.435
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- 3.369 .00005141 .00018258
-3.303 .0000686 "1 .00025125
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- 3.237 .00009075
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-3.105 .00015382 .00061456
-3.039 .00019744 .00081200
- 2.973 .00025118 .00106318
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-2.774
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- 2. ij4 4 .00129585 .00689087
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- 2.312 .00182063 .01025242
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-2.2IJ6
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
'} 2
73
74
75
1'1= 5
-0.1.140
-0. 427
- O. 413
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- O. 387
-D. 373
- D. 360
-0. 347
-0.333
-0. 320
- o. 307
-0.293
- 0.280
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- 0.2!j3
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- 0.227
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- 0.200
-0. 187
- 0.173
-0. 160
- O. 147
-0. 133
- o. 120
-0. 107
- 0.093
-0.000
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- 2. 114
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-1.982
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- 1. 850
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-1.118
-1.b51
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-1.519
-1.453
-1.387
- 1. 321
-1.255
-1.189
-1.123
-1.057
- 0.991
-0.925
-0.059
-0.793
- 0.727
-0.661
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-0.528
- 0.462
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- 0.33 0
-0.264
-0. i 98
-0. 132
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0.0
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•
02~3G535
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• 0 69 59 4B9
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.46130850
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N= 6
~f~
0
1
2
3
4
5
6
7
8
9
10
11
12
13
-1.000
-0.990
-0.981
- 0.971
-0.962
- O. 952
-0.943
- 0.933
-0.924
- O. 91 4
-0.905
- 0. 895
-0.886
-0.876
-5.392
-5.341
-5.290
-5.238
- 5. 187
-5.136
- 5.084
-5.033
- 4.981
-4.93
- 4.879
-4.827
-4.776
-4.725
°
.00000000
.00000000
.00000000
.00000000
.00000000
.00000000
.00000000
.00000000
.OOOCOOOO
.00000000
.oooeoooo
.00000000
.00000001
.00000001
.00000000
.00000000
.oocooooo
.0000000 0
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.00000000
.00000000
.00000000
.00000000
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.00000002
~
T2-13
e
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
.37
38
39
40
41
"_42
43
44
45
46
In
48
49
50
51
52
53
5q
55
56
57
58
59
60
61
62
63
64
- 0.867
-0.057
-0.848
-0.838
- o. 829
-0.819
- 0.810
-0.800
- 0.790
-0.781
-0.771
-0.762
- o. 752
-0.743
- O. 733
-0.724
- 0.714
-0.705
-0.695
-0.686
-0.676
-0.667
-0.657
-0.648
- 0.638
-0.629
-0.619
-0.£>10
-0.600
-0.590
-0.581
-0.571
- 0.562
-0.552
-0.543
-0.533
- O. 524
-0. 514
- o. 505
-0.495
-0.486
-0.476
-0.467
-0.457
-0.41l8
-0.438
- 0.429
-0.419
- 0.410
-0.400
- 0.390
-4.673
-4.£>22
-4.571
-4.519
-4.468
-4.417
-4.365
- 4.314
-4.262
- 4.211
-4.160
- 4. 108
-4.057
-4.006
-3.954
-3.903
-3.852
-3.800
-3.749
-3.698
-3.646
-3.595
-3.544
-3.492
-3.q41
-3.389
-3.330
-3.287
-3.235
-3.184
-3.133
-3.081
-3.030
- 2.979
-2.927
-2.876
-2.825
-2.773
-2.722
- 2.670
-2.619
-2.568
-2.516
- 2.465
-2.1l14
- 2.362
-2.311
-2.260
-2.208
-2.157
-2.106
.00000001
.00000002
.00000003
.00000005
.00000008
.00000012
.00000017
.OCOOO025
.00000035
.00000050
oi 00000070
.00000098
.00000135
.00000183
.00000248
.000003]1
.000004110
.00000580
.00000759
.00000985
.00001270
.00001626
.00002068
.00002615
.00003285
• OOOOLJ 103
.00005095
.000C6292
.000077 27
.00009440
.00011LJ74
.00013877
.00016701
.00020005
.. 00023051
.00028308
• 000334~0
.00039356
.00046108
.00053796
.00062513
.00072353
.0008]417
.00095807
.00109625
.00124976
.00141963
.00160681
.00181246
.00203735
.00228241
.00000003
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.00000009
.00000014
.00000022
.00000033
.00000050
.00000075
.00000110
.00000160
.00000231
.00000329
.00000463
.00000647
.00000894
.00001226
.00001(;66
.00002246
.00003005
.00003990
.00005259
.00006885
.00008954
.00011568
.00014853
.00018956
.00024051
.00030343
.00038070
.00047510
.00058985
.00072862
.00089563
.00109567
.00133418
.00161727
.00195171
.00234532
.00280641
.00J341l37
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.00469303
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65
-0.J01
66
-0. 37 1
- O. 362
-0. 352
-0.343
-0.333
- O. 324
-0. 314
- 0.305
-0.295
- O. 286
-0.276
-0.267
-0.251
- O. 24 8
-0. :>38
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-0. 219
-0.210
-0.200
- 0.190
-0.181
- O. 171
-0. 162
-0.152
-0. 143
- 0.133
-0. 124
- O. 114
-0. 105
- 0.095
-0.006
- 0.076
-0. Ob 7
- 0.057
-0.048
- O. 038
-0.029
-0.019
-0.010
0.0
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
q5
96
97
98
99
100
101
102
10]
104
105
-2.054
- 2.003
-1.951
- 1.900
-1.849
-1.797
-1.7LJ6
- 1. 695
-1.643
- 1.592
-1.5LJ1
- 1. 40 q
-1.430
- 1. 3U 7
-1.335
-1.284
-1.233
- 1. 101
-1.130
- 1. 073
-1.021
-0. <]16
-0.924
-0.873
- 0.822
-0.770
-0.719
-0.668
-0.616
-0.565
-0.514
-0.462
-0.411
-0.359
-0.308
-0.257
-0.205
-0.154
-0.103
-0.051
0.0
• 002~4045
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• 0 205 3(}II 5
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• 28032523
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• 31 ~ 4770 G
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• 42983942
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-.,..
T2-14
e
K=. 6
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
15= 6
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
,
N= 2
-1.000
-0.95f>
- 0.911
-0.867
- O. 822
-0.778
- 0.733
-0.689
- O. 644
-0.600
- 0.556
-0.511
- O. 467
-0. 422
-0.378
-0. 333
- 0.289
-0.244
- 0.200
-0. 156
-0.111
-0.061
- O. 022
0.022
,
-3.781
-3.613
-3.445
-3.277
-3.109
- 2.941
-2.773
- 2.605
-2.436
-2.268
-2.100
- 1.932
- 1.764
-1.596
-1.428
-1.26 a
-1.092
-0.924
-0.756
-0.588
- 0.42 a
-0.252
-0.084
0.084
.00000193
.00000965
.00003665
.00010417
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• 001080 25
.001911251
.00326389
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.00774305
.011C8796
.01522569
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.02570021
.03177467
.03810569
.04441934
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.05992860
.06294557
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.00000193
.00001157
.00004823
.00015239
• 000 110 895
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• 00 20 40 89
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.01240740
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• 0 1161~61110
.06659526
.09229547
.12407014
.162175E3
.20659517
.2569 G9:n
.31262327
.37255187
.43549744
.49999912
.56450201
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
qO
41
42
43
44
- O. 5~6
-0.533
- o. 5 11
-0.409
-0.4&7
-0.444
- O. 422
-0.400
- 0.378
-0. 356
- o. 333
-0. 311
-0.289
-0.267
- 0.244
-0.222
- 0.200
-0. 178
- O. 156
-0. 133
- 0.111
-O.OfllJ
- O. 067
-0.044
-0.022
o. a
45
M= 6
,
-2.510
- 2.410
-2.310
-2.209
-2.109
-2.000
-lu908
-1.808
-1.707
- 1. 607
-1.506
- 1.406
-1.305
-1.205
-1.105
- 1. 004
- O. 901~
-0.803
- 0.703
-0.603
-0.502
-0.402
-0.301
-0.201
- 0.10 0
0.0
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.00277979
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.00~47881
• (J0556 108
.00681257
.00823525
.00982972
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.02229131
.02461033
• 02689Q 21
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.03120507
.03313023
.03484462
.03630810
.03748555
.03834e16
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.0 105100 7
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.04899 147
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.10737912
.12736392
• 14965523
.17426557
• 20 116477
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• 26148268
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• 3 29 1~57 5 3
.. 36576563
• 40 32511 R
.441 ')9933
• 48047385
.51952532
e~
N= 4
N= 3
-1.000
- O. 978
-0.956
- 0.933
-0.911
- 0.889
-0.861
- O. 844
-0.022
- O. 800
-0.778
- 0.756
-0.733
-0.711
-0.689
- 0.667
-0.644
- O. 622
-0.600
-0.578
-4.519
-4.418
-4.318
-4.218
-4. 117
-'4.017
-3.916
-3.816
- 3. 716
-3.615
- 3.515
-3.414
-3.314
-3.213
-3.113
-3.013
- 2.912
-2.012
- 2.711
-2.611
.00000000
.00000001
.00000005
.00000016
.00000042
.00000 102
.00000226
.00000467
.00000908
.00001677
• C000296 2
.00005027
.00008231
.00013049
.00020087
.00030099
.00043994
.00062839
.00087854
.00120394
• OOCOOOOO
.00000002
.00000007
.00000023
.00000065
.00000167
.00000393
.00000860
.000017&7
.00003445
.00006407
.00011434
.00019665
.00032714
.00052802
.0008290 1
.00126894
.00189733
.00277587
.00397981
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
11
18
19
20
21
-1.000
- O. 987
-0.973
- O. 9fiO
-0.947
- O. 933
-0.920
- 0.907
-0.893
- 0.080
-C.8G7
-0.053
- O. 040
-0.827
- 0.813
-0.800
-0.787
-0.713
-0.7GO
-0.747
- 0.733
-0.720
-5. 145
-5.076
- 5.008
-4.939
-11.871
-'4.002
-4.733
-4.665
-11.596
-4.528
-4.459
-4.390
- 4.322
- 4.253
-4.185
-II. 116
-4.047
-3.979
-3.910
-3.842
-3.773
- 3.704
.00000000
.00000000
.00000000
.00000000
• 00000000
.00000000
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.0000000 1
.00000002
.00000003
.00000006
.00000011
.00000019
.00000032
.0000005.3
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.00000329
.00000494
.00000730
.00001062
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.00000003
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.00000012
.00000022
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.00000073
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.00000212
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.00000 893
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.00002117
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T2-15
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.-
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
30
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
-0.707 - 3.636
- 0.693 -3.567
-0.660 - 3.• 499
- O. 667 -3.430
-0.653 -3.361
- O. 640 -3.293
-0.627 - 3.224
- 0.613 -3.156
-0.600 - 3. OR7
- O. 587 -3.018
-0.573 - 2.950
- 0.560 -2.881
-0.547 - 2.813
- o. 533 -2.744
-0.520 - 2.675
- 0.507 -2.607
-0.493 - 2.538
- O. 480 -2.470
-0.467 - 2.401
-0.453 -2.332
-0.440 -2.264
- O. 427 -2.195
-0.413 - 2. 127
- 0.400 -2.058
-0.387 - 1. 989
- O. 373 -1.921
-0.360 -1.852
-0.347 -1. 784
-0.333 - 1. 715
- O. 320 -1.646
-0.307 -1.578
- 0.293 -1.509
-0.280 -1.441
-0.267 -1.372
-0.253 - 1. 303
-0.240 -1.235
-0.227 -1. 166
- 0.213 -1.098
-0.200 -1.029
- 0.187 - O. 96 0
-0. 173 -0.892
- 0.160 -0.823
-0. 147 -0.755
- 0.133 -0.686
-0. 120 -0.617
- 0.107 -0.549
-0.093 -0.460
- 0.080 - O. 412
-0.067 -0 • .lIn
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-0.040 -0.206
.00001522
.00002 15 1
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.00004 13 0
.00005618
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.00010051
.00013229
.00017239
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.000%414
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• DC 104057
.00125721
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• 002~000 2
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.00734 163
.00018987
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.012C4140
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• 00 15440 9
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• 11733064
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.14675756
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• 18055514
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• 21865222
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.28330060
• 30663CJ86
.33075697
.35556797
.38098079
.40609622
.ln320906
73
74
75
PI= 6
0
1
2
J
II
5
6
7
6
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
J2
33
34
35
36
37
38
39
40
41
42
43
44
-0.027
- O. 013
0.0
,
-0.137
- O. 069
0.0
.02660021
.02677406
.02683224
.45980927
• 4R 658333
.51341557
-5.700
-5.649
- 5.598
- 5. 54 8
- 5.497
-5.446
-5.396
-5.345
-5.294
-5.244
-5. 193
-5.142
-5.092
-5.041
-4.990
-4.940
-4.889
-4.838
- 4.788
-4.737
- 4. hU6
-4.636
-4. r,tl~
-4.')34
-4.484
-4.433
- 4.302
-4.332
- 4.281
-4.230
- 4. 180
- 4. 129
-4.078
-4.028
-3.977
- 3.926
- 3.076
- 3.825
-3.774
- 3.724
-3.673
-3.622
-3.572
- 3.521
-3.470
.00000000
.00000000
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.00000000
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.00000013
.00000018
.00000026
.00000037
.00000051
• 00000071
.00000097
.00000132
.00000177
.00000237
.00000314
.00000414
.00000541
.00000703
.000CO<:l06
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.00001480
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.0000000 0
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• 00000007
.00000011
.000000 17
.00000026
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• 00000003
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• 00000171
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.00001198
.00001612
.00002153
.00002856
.00003762
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• COOl 0636
.00013588
No; 5
-1.000
- O. 991
-0.902
- o. 97 3
-0.964
- 0.956
-0.91l?
- 0.938
-0.929
- 0.920
-0.911
- o. 902
-0.893
- O. 884
-0.876
- O. 867
-0.858
- 0.049
-0. A40
-0.831
-0. A22
-0.813
-0.004
-0.796
-0.787
- 0.778
-0.769
- 0.760
-0.751
-0.742
-0.733
-0.724
- O. 716
-0.707
- 0.698
-0.689
-0.680
-0.671
- 0.66 2
-0.653
-0.644
-0.636
- 0.627
-0.618
- O. 609
.,.
T2-16
e
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
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