National Bureau c*

Library, E-01 Admin. gkig,/
National Standard Reference Data Series

National Bureau of Standards

National Standard Reference Data System, Plan of Operation

NSRDS-NBS 1-15 cents*

Thermal Properties of Aqueous Uni-univalent Electrolytes

NSRDS-NBS 2-45 cents*

Selected Tables of Atomic Spectra, Atomic Energy Levels and Multiplet Tables — Si II, Si III, Si IV

NSRDS-NBS 3, Section 1 — 35 cents*

Selected Tables of Atomic Spectra, Atomic Energy Levels and Multiplet Tables — Si I NSRDS-NBS 3, Section 2 — 20 cents*

Atomic Transition Probabilities, Volume I, Hydrogen Through Neon

NSRDS-NBS 4 — $2.50*

The Band Spectrum of Carbon Monoxide

NSRDS-NBS 5-70 cents*

Tables of Molecular Vibrational Frequencies. Part 1. Data for Fifty-Nine Molecules

NSRDS-NBS 6-40 cents*

High Temperature Properties and Decomposition of Inorganic Salts. Part 1. Sulfates

NSRDS-NBS 7-35 cents*

Thermal Conductivity of Selected Materials

NSRDS-NBS 8-11.00*

Tables of Bimolecular Gas Reactions

NSRDS-NBS 9-12.00*

Selected Values of Electric Dipole Moments for Molecules in the Gas Phase

NSRDS-NBS 10-40 cents*

Tables of Molecular Vibrational Frequencies. Part 2

NSRDS-NBS 11-30 cents*

*Send orders with remittance to: Superintendent of Documents, U.S. Government Printing Office, Washington,

D.C. 20402. Remittances from foreign countries should include an additional one-fourth of the purchase

price for postage.
UNITED STATES DEPARTMENT OF COMMERCE

C. R. Smith, Secretary

NATIONAL BUREAU OF STANDARDS* A. V. Astin, Director

Tables for the Rigid Asymmetric Rotor:

Transformation Coefficients from Symmetric to

Asymmetric Bases and Expectation Values of Pf, P*, and P

R. H. Schwendeman

Department of Chemistry

Michigan State University East Lansing, Michigan 48823

NSRDS-NBS 12

0National Standard Reference Data SeriesNational Bureau of Standards 12

Issued June 1968

For sale by the Superintendent of Documents, U.S. Government Printing Office Washington, D.C. 20402 — Price 60 cents

Foreword

The National Standard Reference Data System is a Government-wide effort to provide for the

technical community of the United States effective access to the quantitative data of physical

science, critically evaluated and compiled for convenience, and readily accessible through a variety

of distribution channels. The System was established in 1963 by action of the President’s Office of

Science and Technology and the Federal Council for Science and Technology.

The responsibility to administer the System was assigned to the National Bureau of Standards

and an Office of Standard Reference Data was set up at the Bureau for this purpose. Since 1963,

this Office has developed systematic plans for meeting high-priority needs for reliable reference

data. It has undertaken to coordinate and integrate existing data evaluation and compilation

activities (primarily those under sponsorship of Federal agencies) into a comprehensive program,

supplementing and expanding technical coverage when necessary, establishing and maintaining

standards for the output of the participating groups, and providing mechanisms for the dissemination of the output as required.

The System now comprises a complex of data centers and other activities, carried on in Government agencies, academic institutions, and nongovernmental laboratories. The independent

operational status of existing critical data projects is maintained and encouraged. Data centers

that are components of the NSRDS produce compilations of critically evaluated data, critical

reviews of the state of quantitative knowledge in specialized areas, and computations of useful

functions derived from standard reference data. In addition, the centers and projects establish

criteria for evaluation and compilation of data and make recommendations on needed modifications

or extensions of experimental techniques.

Data publications of the NSRDS take a variety of physical forms, including books, pamphlets,

loose-leaf sheets and computer tapes. While most of the compilations have been issued by the

Government Printing Office, several have appeared in scientific journals. Under some circumstances, private publishing houses are regarded as appropriate primary dissemination mechanisms.

The technical scope of the NSRDS is indicated by the principal categories of data compilation

projects now active or being planned: nuclear properties, atomic and molecular properties, solid state properties, thermodynamic and transport properties, chemical kinetics, colloid and surface

properties, and mechanical properties.

An important aspect of the NSRDS is the advice and planning assistance which the National

Research Council of the National Academy of Sciences-National Academy of Engineering provides. These services are organized under an overall Review Committee which considers the

program as a whole and makes recommendations on policy, long-term planning, and international

collaboration. Advisory Panels, each concerned with a single technical area, meet regularly to examine major portions of the program, assign relative priorities, and identify specific key problems in need of further attention. For selected specific topics, the Advisory Panels sponsor subpanels which make detailed studies of users’ needs, the present state of knowledge, and existing

data resources as a basis for recommending one or more data compilation activities. This assembly

of advisory services contributes greatly to the guidance of NSRDS activities.

The NSRDS-NBS series of publications is intended primarily to include evaluated reference

data and critical reviews of long-term interest to the scientific and technical community.

A. V. Astin, Director.

Ill
Preface

The rigid asymmetric rotor provides the first approximation for treating the rotational energy

of asymmetric molecules. It is thus of considerable importance in the interpretation of both purerotational spectra and the rotational fine structure in vibrational and electronic bands. The quantum

mechanics of the rigid asymmetric rotor has been discussed in many places, and several tabulations

of energy eigenvalues and direction-cosine matrix elements are available. For some purposes,

however, it is necessary to have an explicit description of the asymmetric rotor eigenfunctions.

This can be given most conveniently in terms of the transformation coefficients from a symmetric

rotor basis to the asymmetric rotor basis. The first part of this volume is a tabulation of transformation coefficients for varying degrees of asymmetry.

The transformation coefficients may be used to derive expectation values and matrix elements

for the asymmetric rotor from the well-known properties of the symmetric rotor. Three quantities

which are of particular importance in spectral analysis are the angular-momentum expectation

values ( Pf ), (P|), and (Pf). Values of these quantities have been computed at the same asymmetry

intervals used in the table of transformation coefficients. They are tabulated in Part II of the volume.

IV
Contents

Page Preface IV Tables for the rigid asymmetric rotor: Transformation coefficients from symmetric to asymmetric bases and expectation values of Pf , P\, and P® 1 Description of tables 1, 2

I. Transformation coefficients from Wang symmetric to asymmetric rotor bases 1 Table 1-1 (k = 0) 4

Table 1-2 (k = - 0.1) 9

Table I—10 {k — — 0.9) 52

II. Expectation values w(b), (PI), (P^), and (P®) for the rigid asymmetric rotor 2

Table II-l (k = 0) 58

Table II-2 (k = - 0.1) 62

Table II—10 (k = — 0.9) 95

V
1
Tables for the Rigid Asymmetric Rotor: Transformation Coefficients from

Symmetric to Asymmetric Bases and Expectation Values of Pf,

Pu and P,6

R. H. Schwendeman

Department of Chemistry, Michigan State University, East Lansing, Michigan

Tables of computed quantities associated with the rigid asymmetric rotor are presented. The first group of tables gives transformation coefficients from symmetric to asymmetric rotor bases. These

coefficients permit the eigenfunctions of the asymmetric rotor to be written in terms of symmetricrotor eigenfunctions. In Part II the angular-momentum expectation values (Pj), (P*), and P| are tabulated. In both sets of tables values are given at intervals of 0.1 in the asymmetry parameter k and for J ^ 15. The tabulated quantities find use in the analysis of microwave rotational spectra and the

rotational fine structure in vibrational and electronic band spectra.

Key Words: Angular momentum, asymmetric rotor, eigenfunction, microwave spectra, rotational spectrum, and transformation coefficients.

Description of the Tables

1. Transformation Coefficients from Wang Symmetric to Asymmetric

Rotor Bases

The matrices reproduced on the following pages

contain the coefficients of the transformation from

the Wang symmetric rotator basis to asymmetric

rotator bases of varying degrees of asymmetry. The

coefficients were computed on the CDC 3600 computer at Michigan State University, stored on

magnetic tape, and prepared for duplication.

The computed transformation coefficients are

the elements of a matrix T where

w = THWT.

Here H, is the Wang reduced energy matrix [1] for a rigid asymmetric rotator in the Wang symmetric

rotator basis and w is diagonal. The matrices T

were computed for 2 J 15 at intervals of 0.1 in

the asymmetry parameter k. The King, Hainer,

Cross representation I

r was used [2] and the cal- culations were performed for 0 3= k 2= —0.9 using a continued fraction expansion which has been described [3]. The matrices for positive k may be

obtained from those for negative k by interchanging

K~ i and K+

1

in the labeling of the eigenvectors

(the columns of the matrices). In this case the

representation will be IIP. To obtain the matrices

for representations F and IIP' from the corresponding matrices for I

r and IIP, the signs of the matrix

elements in alternate rows must be changed.

The matrix T is diagonal in J and in a symmetry

symbol cr(a = E +

, 0 + , 0

_

, or E~) [2]. Consequently,

the table consists of a reproduction of the submatrices for each J, cr, and k. The eigenvalues of

HM, used to compute the entries were accurate to

at least ±1X10“ 7 and the uncertainty in the

matrix elements of T is believed to be no more

than ±1 X 10 -8 (the elements are normalized and

given to eight decimal places). For checking purposes the elements of the matrix TT were computed

and found to differ in every case by less than

±1X10~ 8 from the elements of the unit matrix.

The principal application of the T matrices is to express the wave functions of the asymmetric

rotator as a linear combination of Wang symmetric

rotator functions or to transform the matrix of an

observable from the symmetric to the asymmetric

rotator basis. If ^ is a row matrix of the Wang

functions and ^ is a row matrix of the asymmetric

rotator functions, then ^=0 T. If is the matrix

of an observable in the <j> basis and Aj, is the matrix

of the same observable in the ip basis, then

A^ — TA^T.

References

[1] S. C. Wang, Phys. Rev. 34, 243 (1929).

[2] G. W. King, R. M. Hainer and P. C. Cross, J. Chem. Phys.

11, 27 (1943).

[3] J. D. Swalen and L. Pierce, J. Math. Phys. 2, 736 (1961).

1
II. Expectation values w(b), <P*>, <P*>,and <P*>, for the Rigid Asymmetric

Rotator

The computer program which was used to generate the transformation coefficients in the previous

table has also been used to compute a table of

(P|), (P'1), and (Pf) for asymmetric rotator molecules. These quantities are the average values of

the square, fourth power, and sixth power of the

molecule-fixed 2-axis component of the rotational

angular momentum. The calculations were performed on the CDC 3600 computer at Michigan

State University.

The values of (Pf), (P|), and (Pf) have been

computed for J 15 at intervals of 0.1 in the

asymmetry parameter k. The calculations were

performed for 0 5= k 3?— 0.9 using coordinate identification I

r in which the a and 2 axes are indentical

[1]. The expectation values for 0 k 0.9 are obtained by changing the sign of k in the table,

interchanging the K~ 1 and K+

labels of the energy

states, and identifying (P”) with (P'1 ) (coordinate

identification IIP or III r

). Values of the Wang

reduced energy, w, have also been computed.

The values of w, (Pf), (Pf), and (Pf) are given

to eight significant figures in floating decimal

format and should be accurate to within ± 1 in the

last figure given. (The last three digits and asso- ciated sign for each number give the exponent of

10. Thus, for example,

it may be shown that

2 (PI) = J(J + 1) - (PI) - (w-(PD)lb,

2 (Pt)=J(J+l)-(P2

z ) + (w-(Pl))lb,

4<(P%) = (JU+l)-wlb) 2 -2(l-l/b)UU+l

)

-zc/&)(Pf)+(l-l/&) 2 (Pf>

4(P4y )=U(J+l) + wlb) 2 -2(l + llb)UU+l)

+ w/b) (P2

Z ) + (1 + l/6) 2 (Pf).

In addition, from an equation given by Watson [3],

it may be shown that

(Pj) = (Pl) 2 -(f+g)((Pi)(PD + (Pi))

+f((Pl)(Pl) + (P2x »

+ g((Pl)(P2x ) + (P2y )) (6) where

/= 2 b\ (3 b + 3),

g=2bl (36 — 3). 4.5808604-004 = 4.5808604 X 10 ~ 4

.) For checking purposes the expectation values were

read back into the computer from the computer

tape used for duplication. Sums of the values read

in were then compared with theoretical values of

the sums. In no case did the calculated and theoretical sums differ by more than ± 1 in the eighth

significant figure. As an additional check the values

of (

4

) were compared with values computed from

(Pf) and w using eq (6) below and found to agree

to within the significance of the comparison.

Making use of the familiar relations, [1, 2]

Hw = P* + b(Pl-P* ), (1)

b=(Y-X)l(2Z-X-Y), (2 )

Representation I

r

: Z = A, X — B, Y=C, b = bp = (#c+ l)/(#c — 3)

Representation IIP: Z = C , X — B, Y=A , b = bo = (k— 1)/(k + 3)

P

2 = P2x + P2y + Pl (3)

< Hw)=w, (4) <P2 >=y(J+l), (5)

The principal application of the (Pn

z ) is for the

evaluation of the effects of centrifugal distortion.

The centrifugal distortion contribution, Wi, to the

total rotational energy of an asymmetric rotator

may be written to first order as follows [3]:

Wx = d'JPU + 1

)

2 - d'JKJ (J + l)(P2z )-d'K (P\)

-^jwJU + D-^wiP2

) where

d’j — dj+ (X + Y) dwj/2

d'jK — djK + (X + F) dwn/2

d'K = dK

d'wj = (2Z —X— Y) dwj/2

d'wK— [2Z —X — Y)dWKl2.

Equations for the unprimed gT s and the effective

rotational constants X, F, 2 in terms of the t s of

Kivelson and Wilson may be found in the recent

paper by Watson [3].

The values of (P2

) and (P4

) are also useful in

evaluating higher order corrections for internal

2
rotation [4]. In addition, the squares find use in

fitting spectra since [5]

dW {Pl)=—,a = A,B, C,

where W is the energy of a rigid rotator.

References

[1] G. W. King, R. M. Hainer and P. C. Cross, J. Chem. Phys. 11,

27 (1943).

[2] S. C. Wang, Phys. Rev. 34, 243 (1929).

[3] J. K. G. Watson, J. Chem. Phys. 46, 1935 (1967).

[4] D. R. Herschbach, J. Chem. Phys. 31, 91 (1959).

[5] J. K. Bragg and S. Golden, Phys. Rev. 75 , 735 (1949).

3
TABLE I. -TRANSFORMATION COEFFICIENTS

'

I FC4PPA = 0.000000 J =2,E +

0.965925h3 0.25881905

J = 3, E +

0.89787873 0.44024287

J = 3, 0+

0.99202970

0.12600429

J = 3, O0.97942806 0.20179364

J =4, E+

0.83381372

0.54966953 0.05116735

J = 4, 0+

0.97624358

0.21667597

J =4,0-

0.91143783

0.41143783

J = 4, E -

0.98979877

0.14247241

J = 5, E+

0.78475981 0.61178117

0.09937724

J =5, 0 +

0.95621138

0.29188419

0.02152698

J =5, 0-

0.80656305

0.58815883

0.05937377

J =5, E0.96592583

0.25881905

J = 6, E +

0.74727358

0.64808206

0.14660088 0.00894570

J = 6, 0+

0.93511825

0.35145568

0.04508620

J =6,0-

0.70707808

0.69541148

0.12823205

-0.25881905

0.96592583

-0.44024287

0.89787873

-0.12600429

0.99202970

-0.20179364

0.97942806

-0.55034954

0.82041265

0.15504342

-0.21667597

0.97624358

-0.41143783

0.91143783

-0.14247241

0.98979877

-0.60715177

0.72657296

0.32164959

-0.29193710

0.94598434

0.14101902

-0.59027098

0.79582457 0.13506823

-0.25881905

0.96592583

0.61776066 -0.59620107

-0.51013166

-0.05178552

-0.35063801

0.89950338

0.26066580

0.70076489 -0.66480395

-0.25877458

0.04324430 -0.15743726

0.98658170

0.12457435 -0.31275474

0.94162928

0.02079704 -0.14112851

0.98977282

0.03219047 -0.14398766

0.98905578

0.24476185 -0.47316748

0.83613453

0.13070278

0.05105729 -0.25956228

0.96437574

0.09470565 -0.27283435

0.95738825

-0.00675222

0.02542573 -0.13839408

0.99002779

4
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

1

1 KAPPA = 0.000000 -CONTINUED

J = 6, E -

0.93032179 -0.36600202 0.02332157

0.36559680 0.92050745 -0.13785870

0.02898888 0.13677924 0.99017730

J = 7, E+

0.71749372 -0.59352776 0.36379975 -0.02402699

0.66984854 0.44521464 -0.59016328 0.06923984

0.19000003 0.65817717 0.68219434 -0.25556541

0.02014134 0.12771659 0.23230998 0.96400979

J =1,0+

0.91465078 -0.39380384 0.09121784 -0.00343362

0.39786249 0.83704043 -0.37489223 0.02290353

0.07145320 0.37858346 0.91285778 -0.13512838

0.00371858 0.03092604 0.13351327 0.99055740

II i© © 1

0.62852847 0.75028014 0.20495136 -0.00515816

0.75129332 -0.51752422 -0.40888220 0.02328893

0.20084959 -0.40946588 0.87960827 -0.13522728

0.01302899 -0.03982555 0.13076532 0.99052744

II t© 1

0.88838164 -0.45526960 0.05922544

0.45456865 0.85416148 -0.25253814

0.06438484 0.25127227 0.96577266

J =8, E+

0.69296867 -0.55990468 -0.44994324 -0.06205720 0.00107967

0.68291513 0.31069024 0.64534204 0.14357865 -0.00416107

0.22860655 0.73673375 -0.51275791 -0.37622535 0.02227660

0.03402956 0.21677734 -0.34232660 0.90385355 -0.13308204

0.00154377 0.01446701 -0.03125000 0.13052707 0.99084532

J = 8, 0+

0.89545773 -0.42370978 0.13605618 -0.01068665

0.43398701 0.76304325 -0.47545159 0.05801774

0.09864746 0.48273561 0.83480291 -0.24564022

0.00891133 0.07212048 0.24194753 0.96756427

J =8, 0-

0.56775286 0.74289023 0.35417527 -0.01818423

0.77715277 -0.34236372 -0.52459128 0.06020505

0.26968636 -0.56489973 0.73992899 -0.24629790

0.03097634 -0.10857938 0.22774757 0.96715150

J = 8, E0.84507523 -0.52295022 0.11115804 -0.00385026

0.52389257 0.76848937 -0.36669815 0.02220650

0.10653740 0.36747989 0.91427693 -0.13306395

0.00584975 0.03009470 0.13143080 0.99085117

J = 9. E +

0.67220912 -0.53072338 -0.49933608 -0.13081213 0.00438862

0.69050368 0.20448662 0.64565117 0.25364481 -0.01373933

0.26239919 0.76332501 -0.33022453 -0.48610630 0.05598228

0.04970848 0.30415717 -0.46636843 0.79359067 -0.24027447

0.00391232 0.03662316 -0.08514864 0.22905679 0.96898201

J =9, 0+

0.87769149 -0.44346672 0.18005377 -0.02398413 0.00056729

0.46226275 0.68444885 -0.55287273 0.11027403 -0.00378261

0.12536574 0.56511658 0.73325481 -0.35608500 0.02162255

0.01593187 0.12434151 0.35134449 0.91845091 -0.13149276

0.00064057 0.00703411 0.02840452 0.13006077 0.99107391

5
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

K.4PPA = 0.000000 —CONTINUED

J = 9 , 0-

0.51955135

0.78568551 0.33135754

0.05440732

0.00258830

0.69340063 - 0.16100172 - 0.67179521 - 0.20439785 - 0.01366492

- 0.49701018

0.58538431 - 0.55667077 -0.31574027 -0.02705237

- 0.04735120 0.11868954 - 0.35852887 0.91557536

0.12980551

0.00083914 - 0.00383846

0.02163522 -0.13149604

0.99107279

J = 9, E -

0.80333137

0.57572528

0.15160622

0.01465176

- 0.56909591 0.66708428

0.47527219

0.07242069

0.17504583 - 0.46952787

0.83274632 0.23544874

- 0.01214584

0.05552068 - 0.24013636

0.96907402

J = 10 . E+

0.65427064 -0.50759368 - 0.51237580 - 0.22711767 0.01292872 - 0.00017537

0.69450976 0.12191611 0.59468763 0.38470298 - 0.03379971 0.00068675

0.29176088 0.75928778 - 0.13016935 - 0.55670542 0.10714086 - 0.00367514

0.06638878 0.38269382 - 0.58036029 0.62544995 -0.34739623 0.02116908

0.00735960 0.06709570 - 0.17299499 0.31410156 0.92189345 - 0.13026667

0.00026569 0.00328557 - 0.01132559 0.02555044 0.12899452 0.99124591

J = 10 , 0 +

0.86130557 0.48455360

0.15085816

0.02448323

0.00170725

- 0.45615507 0.60721825

0.62417037

0.18243088

0.01840843

0.21933252 - 0.60386861 0.61274107 0.45498108 0.06911263

- 0.04431909 0.17803710 - 0.45755623

0.83873551 0.23130855

0.00208130 -0.01180292

0.05332767 -0.23586968

0.97024637

J = 10 , 0 -

0.48022542 0.78396650

0.38477744

0.08173077 0.00681810

- 0.63341016

0.00741970

0.70979497

0.30580459

0.03756562

0.59781044 - 0.58663543

0.36229471 0.40312664

0.06865126

- 0.10385762

0.20261578 - 0.46262944

0.82561776

0.22910642

0.00337470 - 0.01213242

0.05342262 - 0.23589796

0.97022657

J = 10, E0.76440999 0.61340556

0.19666129

0.02709319

0.00113682

0.59637746 -0.55680339 - 0.56350715 - 0.12926283 - 0.007397150.24336590 -0.55013311 0.72322975

0.33815212

0.02680426

-0.02799874

0.10508918 - 0.34680646

0.92262721 0.12906063

0.00063837 - 0.00366514

0.02116680 - 0.13026608

0.99124612

J = 11 , E +

0.63852113 - 0.48906214 0.49686009 0.32439125 0.03176041 -0.00079165

0.69610651 0.05663204 -0.50927668 - 0.49780893 - 0.07102981 0.00261532

0.31720658 0.73799407 -0.06151950 0.56505344 0.17761388 -0.01131396

0.08346058 0.44957680 0.63993482 - 0.42273939 - 0.44724255 0.05161370

0.01184333 0.10380445 0.28156398 -0.38116822 0.84288158 - 0.23252425

0.00074134 0.00900693 0.03446458 - 0.06060852 0.22786860 0.97115036

J = 11 , 0+

0.84618578 - 0.46415651 - 0.25191893 - 0.07095741 0.00549971 - 0.00009404

0.50224641 0.53481201 0.62915820 0.25523600 - 0.02718104 0.00062893

0.17474584 0.66249776 - 0.47969564 - 0.53891950 0.10002889 - 0.00356332

0.03421604 0.24163695 -0.54279904 0.72816792 - 0.33933544 0.02080824

0.00336338 0.03522546 - 0.12611998 0.32939828 0.92607997 - 0.12928364

0.00011017 0.00151982 - 0.00720131 0.02556669 0.12826733 0.99138270

J = 11 , 0-

0.44738231 - 0.58068592 0.65062819 - 0.19808474 0.00991492 - 0.00013784

0.77609117 - 0.11031040 - 0.53737435 0.30972139 - 0.02855131 0.00063753

0.43006332 0.69785347 0.16107058 -0.54035912 0.10050698 - 0.00356511 0.11136476 0.39795821 0.49268217 0.68616140 - 0.33947160 0.02080865 0.01321936 0.07247295 0.13840599 0.31844447 0.92590255 - 0.12928375

0.00049608 0.00359781 0.00872327 0.02495545 0.12825117 0.99138266

6
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

!

1 KAPPA = 0.000000 -CONTINUED

J =11, E0.72865224 -0.60916635 -0.30835317 -0.05380574 0.00235196

0.64009539 0.44588473 0.60184376 0.17065252 -0.01124724

0.23981142 0.62570586 -0.59124021 -0.44582023 0.05159455

0.04271364 0.19541725 -0.43464981 0.84675989 -0.23251857

0.00313472 0.02018509 -0.06493824 0.22852719 0.97115451

J = 12, E+

0.62451719 -0.47375508 0.47139717 -0.39829147 0.06838405 -0.00257708 0.00002877

0.69604940 0.00396958 -0.41970797 0.56691499 -0.13378556 0.00731468 -0.00011397

0.33925882 0.70718403 -0.21426924 -0.51688730 0.26652922 -0.02592703 0.00061181 0.10048319 0.50424073 0.63352913 0.21640585 -0.52747102 0.09599985 -0.00348157

0.01725611 0.14438663 0.38633739 0.43914575 0.72468669 -0.33340259 0.02052023

0.00152359 0.01801148 0.07134651 0.11432843 0.31999031 0.92876864 -0.12847946

0.00004568 0.00069414 0.00354435 0.00688176 0.02443257 0.12760566 0.99149354

J = 12, 0+

0.83220318 -0.46906842 -0.27744559 -0.10145192 0.01199956 -0.00039073

0.51636954 0.46861590 0.63256378 0.33292149 -0.05275186 0.00228553

0.19688013 0.68410166 -0.34290443 -0.59103434 0.16193285 -0.01076345

0.04479522 0.29851431 -0.60550500 0.59141679 -0.43583178 0.05023079

0.00564588 0.05700240 -0.19558371 0.41954775 0.85418030 -0.22982940

0.00032061 0.00433720 -0.02035339 0.06127865 0.22644572 0.97187144

J =12, 0-

0.41944340 -0.53758541 0.65552600 0.32365893 0.02448126 -0.00061587

0.76452985 -0.19895292 -0.44269401 -0.42028041 -0.05738263 0.00233819

0.46789626 0.65742607 -0.04560389 0.56554961 0.16377370 -0.01077674

0.14197879 0.47502729 0.56053380 -0.49718704 -0.43620463 0.05023459

0.02178127 0.11598928 0.23919396 -0.38499401 0.85312124 -0.22983052

0.00142699 0.01030394 0.02856682 -0.05785810 0.22626475 0.97187058

J =12, £-

0.69598362 -0.61203979 -0.36441663 -0.09041562 0.00629373 -0.00010623

0.65838658 0.34082907 0.62297148 0.24821899 -0.02561525 0.00061028

0.27998340 0.66152159 -0.44388243 -0.52702888 0.09589222 -0.00348125

0.06085125 0.26463111 -0.51748363 0.73954047 -0.33337219 0.02052015

0.00634662 0.03999167 -0.11933472 0.32392114 0.92880985 -0.12847944

0.00021539 0.00175265 -0.00673467 0.02465564 0.12760945 0.99149355

J = 13, E+

0.61193586 -0.46075506 0.44793807 -0.44228056 -0.13011529 -0.00697525 0.00014166

0.69484077 -0.03924641 -0.34187556 0.58875105 0.22770653 0.01728635 -0.00048595

0.35839687 0.67143790 -0.32417671 -0.42358927 -0.36555676 -0.05067420 0.00218969

0.11715378 0.54732238 0.58211680 0.01166099 0.56890078 0.15479498 -0.01037709

0.02346020 0.18666954 0.47347169 0.48951465 -0.56164999 -0.42771331 0.04913943

0.00265913 0.03039896 0.11929811 0.19511817 -0.39403058 0.86005333 -0.22762660

0.00013818 0.00205908 0.01070515 0.02237329 -0.05682515 0.22470596 0.97244985

J = 13, 0+

0.81923408 -0.47190592 0.29671994 0.13266003 0.02274985 -0.00116716 0.00001564

0.52769060 0.40882842 -0.61982542 -0.40247719 -0.09051880 0.00607094 -0.00010499

0.21724798 0.69287609 0.21139590 0.60955009 0.23643262 -0.02420242 0.00059354

0.05592764 0.35092530 0.63874614 -0.43634057 -0.51647471 0.09260685 -0.00341486

0.00854962 0.08280513 0.27082605 -0.49584673 0.75199879 -0.32855118 0.02028386

0.00068511 0.00902735 0.04169831 -0.11209987 0.32025884 0.93097370 -0.12780905

0.00001893 0.00031424 0.00183753 -0.00621818 0.02396633 0.12705152 0.99158529

II CO © 1

0.39532384 -0.50214425 0.62346667 0.44719034 0.05363152 -0.00199573 0.00002279

0.75081740 -0.26618804 -0.32242019 -0.50063816 -0.10384662 0.00629932 -0.00010636

0.49916287 0.60216141 -0.22951542 0.52574744 0.24199362 -0.02427130 0.00059381

0.17255391 0.53543578 0.57139785 -0.28557001 -0.51661968 0.09263043 -0.00341492

0.03232357 0.16507906 0.35212063 -0.42522837 0.74735155 -0.32855778 0.02028388

0.00300682 0.02129434 0.06451924 -0.10279827 0.31902568 0.93096442 -0.12780906

0.00009313 0.00083422 0.00316951 -0.00591386 0.02389608 0.12705066 0.99158529

7
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

H4PPA = 0.0<

130000 -CONTINUED

J =13, E0.66616906 -0.60864734 -0.40871806 -0.13608744 0.01402732 -0.00044139

0.67029193 0.24515890 0.61587202 0.32992884 -0.04949449 0.00217931 0.31666846 0.67455051 -0.28984679 -0.58031496 0.15433223 -0.01037448

0.08080599 0.33162888 -0.57784351 0.60358571 -0.42762044 0.04913869

0.01088948 0.06650256 -0.18803641 0.41003093 0.86032668 -0.22762638

0.00064432 0.00517982 -0.01947366 0.05848619 0.22475287 0.97245002

J — 14, E +

0.60053473 -0.44947334 0.42896477 -0.45530438 -0.21387469 -0.01662153 0.00050135 -0.00000475

0.69282347 -0.07521147 -0.27725003 0.56457378 0.34262743 0.03649537 -0.00150872 0.00001899

0.37504062 0.63352687 -0.40043411 -0.29254023 -0.45177332 -0.08904305 0.00575961 -0.00010233

0.13327430 0.58003548 0.50707783 -0.18565841 0.54984153 0.22658654 -0.02307214 0.00057971 0.03030937 0.22888350 0.53910564 0.51005967 -0.36081384 -0.50754677 0.08997935 -0.00336027

0.00417371 0.04595675 0.17459418 0.30141865 -0.43632138 0.76183840 -0.32458691 0.02008660

0.00030616 0.00444933 0.02296542 0.05371045 -0.09922747 0.31713206 0.93271572 -0.12724165

0.00000785 0.00014118 0.00090663 0.00257999 -0.00549238 0.02339801 0.12657178 0.99166247

J = 14, 0+

0.80716680 -0.47331476 0.31107988 0.16186605 0.03840927 -0.00288227 0.00007183

0.53678855 0.35509979 -0.59676812 -0.45797379 -0.14038136 0.01352395 -0.00042998

0.23591212 0.69208572 0.09165522 0.59504639 0.31737993 -0.04634203 0.00208530

0.06737046 0.39774905 0.64391888 -0.27216308 -0.57140420 0.14815079 -0.01006177

0.01204020 0.11152859 0.34488608 -0.55146318 0.62040220 -0.42087022 0.04824642

0.00123974 0.01583589 0.07132218 -0.17738743 0.40435494 0.86528082 -0.22578911

0.00005938 0.00096642 0.00562545 -0.01812457 0.05641996 0.22331575 0.97292640

II O 1

0.37424884 -0.47234953 0.57887871 0.53882097 0.10661111 -0.00540308 0.00011114

0.73592683 -0.31767924 -0.20628337 -0.53361485 -0.17317119 0.01433560 -0.00043869

0.52477047 0.54007608 -0.36442455 0.43468594 0.33014832 -0.04663029 0.00208732

0.20236168 0.57961629 0.52222398 -0.07973668 -0.56739389 0.14826262 -0.01006228

0.04456948 0.21671043 0.45117082 -0.44960390 0.60487452 -0.42089245 0.04824656

0.00535603 0.03686010 0.11472910 -0.16477130 0.39840385 0.86521323 -0.22578915

0.00028893 0.00255432 0.01027596 -0.01800277 0.05579655 0.22330411 0.97292637

II 1

0.63892804 -0.60146974 0.44092593 0.18664398 0.02741707 -0.00132595 0.00001773

0.67734382 0.16001334 -0.58605758 -0.40600408 -0.08523882 0.00570985 -0.00010209

0.34971906 0.66969002 0.13919168 0.59889370 0.22501534 -0.02305727 0.00057966

0.10192794 0.39280722 0.60879684 -0.44610961 -0.50750284 0.08997430 -0.00336026

0.01678081 0.09861264 0.26537858 -0.48100355 0.76318053 -0.32458551 0.02008659

0.00140885 0.01109236 0.04103498 -0.10601693 0.31748806 0.93271776 -0.12724165

0.00004013 0.00039263 0.00180323 -0.00576709 0.02341829 0.12657197 0.99166247

J = 15, E+

0.59012725 -0.43952044 0.41373052 -0.44358241 0.29890193 -0.03589972 0.00147080 -0.00002520

0.69023657 -0.10549156 -0.22333839 0.50710918 -0.44763525 0.07079891 -0.00392848 0.00008888

0.38954975 0.59513957 -0.45220030 -0.14653939 0.49707014 -0.14442440 0.01279379 -0.00041260

0.14872327 0.60379034 0.42188915 -0.34696554 -0.46753586 0.30729609 -0.04379923 0.00200851 0.03766232 0.26971008 0.58337197 0.47476978 0.15103448 -0.56276009 0.14318632 -0.00980647

0.00607496 0.06426700 0.23338812 0.41000840 0.44591001 0.63223333 -0.41526448 0.04750415

0.00057300 0.00809035 0.04086990 0.10305251 0.15072483 0.39875618 0.86927493 -0.22423354

0.00002545 0.00044920 0.00287124 0.00910971 0.01570652 0.05463550 0.22206877 0.97332538

J = 15, 0+

0.79590296 -0.47371660 0.32182124 -0.18731895 -0.05860987 -0.00621184 0.00023669 -0.00000261

0.54410514 0.30687570 -0.56797110 0.49677770 0.19921627 0.02662520 -0.00127888 0.00001758

0.25297432 0.68430227 -0.01324610 -0.55203147 -0.39557085 -0.07946610 0.00538727 -0.00009939

0.07892994 0.43856839 0.62593573 0.10913320 0.59234892 0.21530110 -0.02213850 0.00056819

0.01606466 0.14207926 0.41234162 0.57949664 -0.46482898 -0.49992280 0.08782752- -0.00331461

0.00201213 0.02483667 0.10811655 0.25326526 -0.47238034 0.77252367 -0.32126908 0.01991942

0.00013608 0.00216254 0.01240672 0.03888733 -0.10141882 0.31518259 0.93415011 -0.12675518

0.00000325 0.00006303 0.00044327 0.00169299 -0.00541084 0.02296500 0.12615563 0.99172830

8
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA =0.0

i r 00000 -CONTINUED

J =15, 0-

0.35564705 -0.44677753 0.53759916 0.58990852 -0.19165756 -0.01293495 0.00039125 -0.00000379

0.72048297 -0.35738410 -0.10805196 -0.51948902 0.26605687 0.02913458 -0.00131824 0.00001780

0.54556176 0.47591929 -0.45095476 0.30580269 -0.41530637 -0.08049342 0.00539788 -0.00009943

0.23091357 0.60905675 0.43588012 0.11494139 0.57052556 0.21572159 -0.02214164 0.00056820

0.05820020 0.26824758 0.52442043 -0.45914921 -0.42563049 -0.49993502 0.08782858 -0.00331461

0.00854782 0.05681782 0.17438140 -0.25052582 -0.45131817 0.77215784 -0.32126937 0.01991942

0.00065395 0.00566420 0.02310310 -0.04274493 -0.09810779 0.31508567 0.93414968 -0.12675518

0.00001724 0.00018276 0.00091211 -0.00198959 -0.00527100 0.02295949 0.12615559 0.99172830

J =15, E0.61398317 -0.59207237 0.46257992 0.23699157 0.04815398 -0.00331160 0.00008126

0.68070261 0.08517450 -0.54075701 -0.46786698 -0.13383835 0.01259906 -0.00041092

0.37920494 0.65161590 0.00107938 0.58118269 0.30316563 -0.04373111 0.00200812

0.12365802 0.44611382 0.60850882 -0.27698207 -0.56400187 0.14316014 -0.00980637

0.02396163 0.13482167 0.34362998 -0.53129861 0.63733211 -0.41525933 0.04750412

0.00259855 0.01990872 0.07213432 -0.16698632 0.40070119 0.86929108 -0.22423353

0.00012881 0.00124210 0.00570867 -0.01674655 0.05483904 0.22207155 0.97332539 KAPPA = -0. 100000 J = 2, E+

0.97298642 -0.23086235

0.23086235 0.97298642

J = 3, E+

0.91229299 -0.40953814

0.40953814 0.91229299

J = 3, 0+

0.99357337 -0.11318995

0.11318995 0.99357337

J =3, 0-

0.98516052 -0.17163550

0.17163550 0.98516052

II +

0.84920211 -0.52707128 0.03242903

0.52623972 0.83955909 -0.13495297

0.04390374 0.13166779 0.99032119

J — 4, 0-\- 0.98007494 -0.19862808

0.19862808 0.98007494

II © 1

0.93320063 -0.35935580

0.35935580 0.93320063

J =4, E0.99215674 -0.12500000

0.12500000 0.99215674

J =5, E+

0.79883549 -0.59399507 0.09503536

0.59509662 0.75726347 -0126909488

0.08787423 0.27151775 0.95841339

J = 5, 0 +

0.96202453 -0.27248477 0.01615124

0.27236690 0.95433336 -0.12273590

0.01802999 0.12247401 0.99230793

J = 5, 0-

0.84137178 -0.53994423 0.02353205

0.53836151 0.83348479 -0.12437845

0.04754382 0.11731727 0.99195577

9
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0. r"100000 -CONTIN JED

II LO 1

0.97298642 -0.23086235

0.23086235 0.97298642

J = 6, E+

0.75999919 -0.61962526 0.19607820 -0.00437081

0.63624238 0.64779005 -0.41857908 0.01884802

0.13245449 0.44155062 0.87927564 -0.11984661

0.00725780 0.03828367 0.11497498 0.99260387

J =6,0+

0.94228076 -0.33235423 0.04059097

0.33257869 0.91504367 -0.22822468

0.03870893 0.22855142 0.97276198

J = 6, 0-

0.74281769 -0.66590884 0.06919022

0.66071614 0.71247323 -0.23629660

0.10805582 0.22124038 0.96921444

J = 6, E0.94274932 -0.33303377 0.01766993

0.33268760 0.93542472 -0.11958075

0.02329553 0.11861324 0.99266722

J =7, E+

0.72919708 0.60849051 0.31267743 -0.01561224

0.66147651 -0.51010859 -0.54737348 0.05118907

0.17446964 -0.59955012 0.74878079 -0.22232257

0.01675656 -0.10034032 0.20479850 0.97350327

II © +

0.92264711 -0.37833442 0.07469997 -0.00229948

0.38051714 0.86164920 -0.33536718 0.01721093

0.06261343 0.33741391 0.93193957 -0.11713261

0.00292722 0.02399120 0.11591982 0.99296447

II -j © 1

0.66037311 0.73537631 0.15204728 -0.00326450

0.73010150 -0.58140916 -0.35862586 0.01739747

0.17537856 -0.34696104 0.91385470 -0.11717507

0.01007486 -0.02833920 0.11462423 0.99295351

II t'4 1

0.90513933 -0.42266938 0.04553459

0.42176625 0.87942509 -0.22073683

0.05325444 0.21900254 0.97426991

J = 8. E +

0.70391768 -0.57857866 -0.40998752 -0.04070016 0.00060447

0.67710731 0.37327510 0.62522784 0.10618104 -0.00266974

0.21257622 0.70232581 -0.59331554 -0.33052727 0.01667922

0.02890573 0.18038981 -0.29742954 0.92997792 -0.11532874

0.00117830 0.01050779 -0.02264346 0.11385025 0.99318356

J = 8, 0 +

0.90395629 -0.41178327 0.11508486 -0.00728335

0.41843137 0.79631553 -0.43458290 0.04398273

0.08790090 0.43932924 0.86796288 -0.21425147

0.00718719 0.05749735 0.21102991 0.97576062

J = 8. 0-

0.59561102 0.75420446 0.27620845 -0.01149081

0.76569825 -0.42940467 -0.47674777 0.04504871 0.24153642 -0.49043232 0.80938564 -0.21454880

0.02477606 -0.07914169 0.20326178 0.97560616

10
KAPPA = -0. J = 8, E0.86459947 0.49423320

0.09045354

0.00441067

J = 9. E +

0.68258317

0.68665168

0.24644343 0.04296478

0.00305851

J = 9, 0 +

0.88649247

0.44847831 0.11325177

0.01311923

0.00047407

J =9,0-

0.54425825 0.78118953

0.30252639

0.04472224

0.00189279

J = 9, E0.82434279

0.55045587

0.13163531

0.01137781

J = 10, E+

0.66418885 0.69218758

0.27623227

0.05822983

0.00587471 0.00019064

J = 10, 0+

0.87028797 0.47241616

0.13783656

0.02052390

0.00129371

J =10, 0-

0.50251112

0.78455341 0.35666288

0.06872962

0.00513272

J = 10, E0.78607424

0.59274251 0.17400265 0.02158769

0.00080700

J = 11, E+

0.64806566

0.69500568

0.30230960

0.07412110

0.00962761 0.00054453

TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

T

0000 -CONTINUED

-0.49479827

0.80613718 0.32372334

0.02281926

0.08738463

0.32496027

0.93473108 0.11420404

-0.00251938

0.01664989 -0.11532202

0.99318541

-0.54796084

0.25894608

0.74988760

0.26376871 0.02793749

-0.47542698

0.65201549 -0.42916114

-0.40126655

-0.06042231

-0.08821701

0.19040647 -0.43701711

0.85072997 0.20307067

0.00246583 -0.00880763

0.04208311 -0.20934127

0.97689385

-0.43492783

0.72399801 0.52556622

0.10207405

0.00507072

0.15712535 -0.51719318

0.78231168

0.30879801 0.02133208

-0.01674516

0.08484847 -0.31413385

0.93865183 0.11301770

0.00032801 -0.00245671

0.01620340 -0.11395307

0.99335090

0.72657317 -0.25834213

-0.61654434

-0.15855865

-0.00911069

0.41830396 -0.56130997

0.65470355

0.28443271 0.02035185

-0.02993270

0.08903497 -0.31535920

0.93753484

0.11293280

0.00045959 -0.00248007

0.01620798 -0.11395412

0.99335059

-0.54800586

0.71761241 0.42612744

0.05601251

0.14171797 -0.42458932

0.87022202

0.20579982

-0.00803498

0.04188880 -0.20928733

0.97692353

-0.52254668

0.16858021

0.76081981 0.34183650

0.05311742 0.00229105

-0.50891448

0.63258845 -0.25088579

-0.51201901

-0.12523001

-0.00694237

-0.16355710

0.30301827 -0.52472605

0.72386137

0.28589229

0.01954195

0.00729794 -0.02164949

0.08100731 -0.30555979

0.94179815 0.11209514

-0.00008491

0.00038120 -0.00237935

0.01586065 -0.11288630

0.99347839

-0.45037026

0.65021273

0.59202890

0.15395912 0.01372595

0.19683325 -0.57823665

0.67821666

0.40517603

0.05247461

-0.03194770

0.14010411 -0.41098770

0.87719968

0.20238580

0.00121995 -0.00771966

0.04017629 -0.20549564

0.97780178

-0.67301926

0.09602886

0.68790286 0.25276614

0.02687874

-0.53865977

0.59312254 -0.47578721

-0.35938775

-0.05018244

-0.06610512

0.15296504 -0.41423527

0.87177611 0.20161191

0.00184801 -0.00785774

0.04021082 -0.20550519

0.97779627

-0.58328003

0.61801688

0.51697517

0.10271381 0.00510786

0.20375756 -0.51018154

0.78038258

0.29798722

0.02010733

-0.01882613

0.08012863 -0.30530518

0.94204256

0.11211398

0.00036096 -0.00237574

0.01585994 -0.11288614

0.99347844

-0.50213263

0.09699603 0.75002055

0.41074760

0.08466302 0.00650747

0.51144406 -0.57126125

0.06276422 0.60042073

0.21709414

0.02261167

0.25685139 -0.42325715

0.56898837 -0.55143911

-0.35342450

-0.04624943

0.01805319 -0.04550539

0.13541374 -0.39961515

0.88299533

0.19973344

-0.00038476

0.00145233 -0.00735412

0.03885940 -0.20253393

0.97847515

284-758 0-68—2 11
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0. V~

00000 -CONTIN UED

J = 11, 0 +

0.85527402 -0.46044170 -0.23164589 -0.05319024 0.00328168 -0.00004697

0.49160045 0.57902917 0.61635371 0.20697645 -0.01797088 0.00035312

0.16118358 0.63899343 -0.55995904 -0.49635628 0.07601473 -0.00230869

0.02912762 0.20897696 -0.49328817 0.78921578 -0.29839970 0.01559079

0.00260251 0.02708559 -0.09766205 0.29108675 0.94468993 -0.11203195

0.00007664 0.00103210 -0.00480265 0.01920833 0.11138488 0.99357954

J =11, 0-

0.46776535 -0.61764523 0.61879128 -0.12952902 0.00543347 -0.00006531

0.78046102 -0.03660589 -0.57638803 0.23869089 -0.01854661 0.00035623

0.40355508 0.70374491 0.29186162 -0.50089195 0.07619128 -0.00230925

0.09547338 0.34484074 0.43580975 0.76988560 -0.29845041 0.01559090

0.01020702 0.05474234 0.09865947 0.28682957 0.94463910 -0.11203198

0.00034163 0.00236955 0.00521153 0.01900271 0.11138092 0.99357954

J =11, E0.75047348 0.60340188 0.26706241 -0.03703513 0.00134179

0.62378440 -0.51361577 -0.57404964 0.13230703 -0.00732995

0.21555988 -0.58846437 0.66832846 -0.39883720 0.03885338

0.03480356 -0.16002020 0.38740467 0.88435318 -0.20253228

0.00228819 -0.01443044 0.04898334 0.19992897 0.97847614

J = 12, E+

0.63374728 -0.48543440 0.49298017 0.34370259 0.03943762 -0.00125839 0.00001205

0.69594037 0.03932347 -0.48727182 -0.51888166 -0.08620983 0.00406477 -0.00005472

0.32510265 0.72662644 -0.10828841 0.55842380 0.20608629 -0.01694357 0.00034250

0.09019525 0.46911011 0.63511973 -0.35891220 -0.48404380 0.07281489 -0.00225539

0.01425371 0.12073358 0.31918709 -0.40590853 0.79530766 -0.29296320 0.01537474

0.00114278 0.01341731 0.05047964 -0.08482531 0.28528348 0.94672778 -0.11133276

0.00003080 0.00045760 0.00216326 -0.00426340 0.01848342 0.11077848 0.99366163

J = 12, 0+

0.84134835 -0.46687984 -0.26038436 -0.07938756 0.00733074 -0.00019743

0.50705910 0.51263529 0.63297455 0.27960911 -0.03544603 0.00129108

0.18305920 0.66908043 -0.43347096 -0.56153591 0.12470745 -0.00700771

0.03864577 0.26366942 -0.56499911 0.67606187 -0.38893568 0.03781978

0.00445033 0.04504261 -0.15564873 0.37549328 0.89031815 -0.20015800

0.00022826 0.00304228 -0.01398607 0.04624860 0.19799122 0.97900747

J =12, 0-

0.43828619 -0.57011421 0.65687374 -0.22629872 0.01344237 -0.00029201

0.77175242 -0.13880780 -0.51718153 0.34095890 -0.03740546 0.00131019

0.44350275 0.68254628 0.10168599 -0.55795926 0.12541187 -0.00701187

0.12374162 0.42597510 0.51027717 0.62451014 -0.38911065 0.03782081 0.01719652 0.09125505 0.17325458 0.35943535 0.89000142 -0.20015828

0.00100984 0.00710520 0.01732538 0.04484067 0.19794535 0.97900729

II r-H c\f 1

0.71767664 -0.61210002 -0.32578024 -0.06424822 0.00363499 -0.00005192

0.64599966 0.41080586 0.61217647 0.19717905 -0.01683042 0.00034202

0.25504155 0.63709888 -0.53916653 -0.48275892 0.07278058 -0.00225531

0.05055603 0.22315891 -0.46914098 0.80093248 -0.29295342 0.01537473

0.00474920 0.02959629 -0.09107183 0.28653043 0.94673795 -0.11133276

0.00014388 0.00113580 -0.00439651 0.01854410 0.11077928 0.99366163

J = 13, E+

0.62089595 -0.47140548 0.46879581 -0.40795422 0.07782801 -0.00342535 0.00005954

0.69554876 -0.00794734 -0.40426899 0.57445072 -0.15043008 0.00961558 -0.00023359

0.34503066 0.69612654 -0.24223360 -0.50180922 0.29113362 -0.03334341 0.00123069

0.10613016 0.51686927 0.61622487 0.16692929 -0.54759268 0.11866215 -0.00675334

0.01965301 0.15945118 0.41269219 0.45156726 0.67336669 -0.38101180 0.03699386

0.00203230 0.02326090 0.08957377 0.14074822 0.36243864 0.89496967 -0.19821402

0.00009536 0.00140082 0.00696834 0.01337140 0.04373316 0.19637365 0.97943630

12
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.

1100000 -CONTI

m

J = 13, 0+

JED

— 0.82840355 -0.47085768 -0.28302186 0.10832064 0.01433581 -0.00059819 0.00000675

0.51957112 0.45183948 0.63170668 -0.35063501 -0.06226335 0.00345911 -0.00005097

0.20337985 0.68555743 -0.30611334 0.60017160 0.18569966 -0.01586958 0.00033250

0.04881454 0.31561162 -0.61384690 -0.54252424 -0.47109046 0.07024786 -0.00221225

0.00685107 0.06702167 -0.22237436 -0.45111417 0.81178938 -0.28857208 0.01519754

0.00049812 0.00651895 -0.02966912 -0.08522343 0.28316097 0.94835030 -0.11074989

0.00001238 0.00020114 -0.00113553 -0.00402627 0.01802871 0.11026756 0.99372959

J =13, O0.41288723 -0.53084916 0.65371060 0.34570154 0.02958558 -0.00094773 0.00000934

0.76021141 -0.21701799 -0.42082850 -0.43959788 -0.06801717 0.00354217 -0.00005139

0.47712983 0.64013308 -0.08879552 0.56488915 0.18798865 -0.01589118 0.00033257

0.15253775 0.49304906 0.55863249 -0.44088969 -0.47142371 0.07025435 -0.00221227

0.02602591 0.13417106 0.27176609 -0.40909457 0.81030842 -0.28857391 0.01519754

0.00218060 0.01524721 0.04184547 -0.07992196 0.28283232 0.94834833 -0.11074989

0.00006034 0.00052452 0.00175284 -0.00384729 0.01801269 0.11026740 0.99372959

J =13, E0.68757179 -0.61296560 -0.37593175 -0.10062600 0.00823909 -0.00021740

0.66136457 0.31420758 0.62414232 0.27061430 -0.03291313 0.00122744

0.29173558 0.66366019 -0.39905286 -0.54873685 0.11850989 -0.00675263

0.06828389 0.28723998 -0.53690430 0.69141474 -0.38097429 0.03699368

0.00833109 0.05082320 -0.14643761 0.36812853 0.89503979 -0.19821398

0.00044204 0.00348193 -0.01297317 0.04424054 0.19638385 0.97943634

J = 14, E +

0.60925921 -0.45933947 0.44704447 -0.44578308 -0.13846135 -0.00821978 0.00021173 -0.00000172

0.69421277 -0.04726321 -0.33243325 0.58878566 0.24133064 0.02033195 -0.00072637 0.00000789

0.36247623 0.66189447 -0.33947178 -0.40734993 -0.38187687 -0.05908557 0.00325384 -0.00004953

0.12170176 0.55471019 0.56240638 -0.02276295 0.57390394 0.17627242 -0.01511245 0.00032471 0.02570878 0.19914645 0.48893577 0.48849452 -0.51415983 -0.46149150 0.06822902 -0.00217688

0.00324413 0.03601040 0.13708464 0.22017707 -0.42059939 0.82041488 -0.28497661 0.01504960

0.00021577 0.00311397 0.01570559 0.03240689 -0.07819760 0.28034084 0.94964785 -0.11025652

0.00000497 0.00008770 0.00054024 0.00131285 -0.00364124 0.01760694 0.10982965 0.99378678

J = 14, 0+

0.81633825 -0.47314024 0.30033758 0.13744483 0.02518264 -0.00150383 0.00003132

0.52973058 0.39667582 -0.61733429 -0.41343697 -0.09970554 0.00779858 -0.00020989

0.22215247 0.69148468 0.18485643 0.60969712 0.25622496 -0.03069422 0.00117357

0.05940491 0.36331392 0.63745246 -0.39536786 -0.53746065 0.11360384 -0.00654848

0.00979092 0.09219739 0.29223298 -0.51314996 0.70788962 -0.37450500 0.03631900

0.00091864 0.01173784 0.05258315 -0.13663431 0.36328474 0.89877852 -0.19659307

0.00003972 0.00063767 0.00361537 -0.01185962 0.04273106 0.19501830 0.97978967

II H-i © 1

0.39072748 -0.49809995 0.62091978 0.45840139 0.05957057 -0.00257221 0.00004561 0.74698458 -0.27731824 -0.30654282 -0.50788393 -0.11457959 0.00809450 -0.00021262

0.50517312 0.58647970 -0.25391632 0.51635568 0.26228972 -0.03078493 0.00117412

0.18109947 0.54545629 0.55562036 -0.24383001 -0.53717542 0.11363554 -0.00654860

0.03651531 0.18100869 0.37519273 -0.43604029 0.70244067 -0.37451275 0.03631903

0.00397093 0.02725995 0.08059039 -0.12485077 0.36157120 0.89876361 -0.19659308

0.00019216 0.00166585 0.00618505 -0.01126787 0.04257816 0.19501613 0.97978966

J = 14, E0.65995004 -0.60879615 -0.41561322 0.14431532 0.01647736 -0.00065974 0.00000749

0.67143293 0.22621033 0.61243626 -0.34581984 -0.05767733 0.00323820 -0.00004947

0.32531282 0.67138952 -0.25533172 0.58915799 0.17572105 -0.01510842 0.00032470

0.08742354 0.34836020 -0.58395585 -0.55896164 -0.46141085 0.06822782 -0.00217687

0.01309483 0'.07757516 -0.21259071 -0.43988664 0.82077865 -0.28497627 0.01504960

0.00099022 0.00771055 -0.02815693 -0.08076059 0.28042153 0.94964822 -0.11025652

0.00002521 0.00024024 -0.00106659 -0.00373374 0.01761087 0.10982968 0.99378678

13
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

1 1 KAPPA = -0.100000 -CONTINUED

J = 15 , E+

0.59864344 - 0.44876824 0.42924345 - 0.45656833 - 0.21727074 - 0.01793199 0.00062465 -0.00000916

0.69220005 - 0.08036180 - 0.27218650 0.56330131 0.34847804 0.03958126 - 0.00189524 0.00003697

0.37777635 0.62603841 - 0.40802462 - 0.28167530 - 0.45836289 - 0.09688332 0.00727431 - 0.00020051 0.13676125 0.58367642 0.49011444 - 0.20330027 0.54650744 0.24406125 - 0.02893932 0.00113001 0.03230102 0.23846943 0.54594989 0.49720901 - 0.32592108 - 0.52774384 0.10969071 - 0.00638195

0.00479428 0.05143242 0.18988801 0.31924271 - 0.44930140 0.72105875 -0.36916430 0.03575773

0.00041164 0.00580919 0.02909274 0.06639016 - 0.11994140 0.35916354 0.90178516 - 0.19522088

0.00001650 0.00028742 0.00178772 0.00496565 - 0.01035973 0.04149424 0.19384226 0.98008579

J = 15 , 0+

0.80506090 - 0.47422895 0.31344267 0.16462760 - 0.04030251 -0.00331532 0.00010446 - 0.00000097

0.53799457 0.34681473 - 0.59450434 - 0.46356881 0.14732915 0.01560982 - 0.00062891 0.00000738

0.23943585 0.68942906 0.07450953 0.59114629 - 0.33089799 - 0.05338216 0.00305091 - 0.00004814

0.07022648 0.40600199 0.63752198 - 0.24223370 0.58035275 0.16762891 - 0.01450227 0.00031827

0.01323639 0.11966237 0.35981629 - 0.55629808 - 0.58014775 - 0.45338848 0.06658281 - 0.00214729

0.00151687 0.01884580 0.08243769 - 0.19931914 -0.43333737 0.82801307 -0.28197305 0.01492422

0.00009296 0.00146691 0.00827891 - 0.02596151 - 0.07747274 0.27808541 0.95071467 - 0.10983352

0.00000200 0.00003799 0.00025858 - 0.00096813 - 0.00351104 0.01726247 0.10945101 0.99383558

J = 15 , 0-

0.37119099 - 0.47024825 0.57874743 0.54201075 - 0.11100169 - 0.00617985 0.00016087 - 0.00000134

0.73282066 -0.32418909 - 0.19800983 - 0.53444124 0.18101492 0.01652779 - 0.00064131 0.00000744

0.52836974 0.52763065 -0.37498015 0.42535583 - 0.34351072 - 0.05370920 0.00305379 - 0.00004815

0.20887691 0.58384043 0.50326634 - 0.05415408 0.57527285 0.16775526 -0.01450300 0.00031827

0.04842516 0.22939196 0.46330907 - 0.44957602 - 0.56413177 - 0.45340697 0.06658303 - 0.00214729

0.00646478 0.04323212 0.13068552 -0.18427350 - 0.42644688 0.82792829 -0.28197311 0.01492422

0.00044547 0.00381682 0.01490406 - 0.02569721 -0.07655106 0.27806662 0.95071460 - 0.10983352

0.00001050 0.00010862 0.00050860 - 0.00100140 - 0.00347741 0.01726156 0.10945100 0.99383558

J =15, E0.63457627 - 0.60151464 0.44477969 0.19175640 0.02984649 - 0.00166949 0.00003457

0.67740805 0.14752505 - 0.58180675 - 0.41495575 -0.09281844 0.00721300 - 0.00020006

0.35569360 0.66425579 0.11610584 0.59930020 0.24241972 - 0.02892081 0.00112992

0.10745982 0.40389717 0.60548119 -0.40995017 - 0.52780819 0.10968431 - 0.00638193

0.01903278 0.10882875 0.28450494 - 0.49719827 0.72255458 - 0.36916275 0.03575772

0.00186703 0.01426541 0.05126936 - 0.12843874 0.35963143 0.90178822 - 0.19522088

0.00008305 KAPPA = -0 .;

0.00078650

100000

0.00350661 - 0.01089530 0.04153586 0.19384271 0.98008579

J = 2 , E+

0.97919940

0.20290030 - 0.20290030 0.97919940

J = 3 , E +

0.92693614

0.37521913 - 0.37521913 0.92693614

J = 3 , 0+

0.99494979

0.10037384 - 0.10037384

0.99494979

J =3, 0-

0.98953846

0.14426934 - 0.14426934 0.98953846

J = 4 , £ +

0.86625878

0.49824120

0.03676196

- 0.49902775

0.85942127

0.11120428

0.02381254 - 0.11467692

0.99311740

J = 4 , 0 +

0.98372109

0.17970205 - 0.17970205 0.98372109

J = 4, 0 -

0.95155945

0.30746483 - 0.30746483 0.95155945

14
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.200000 -CONTINUED

J = 4, E0.99411925

0.10829093 -0.10829093

0.99411925

J = 5, E+

0.81495011 -0.57522374 0.07052637

0.57451184 0.78590525 -0.22866807

0.07610826 0.22687130 0.97094642

J = 5, 0+

0.96786062 -0.25118899 0.01224402

0.25105570 0.96220310 -0.10552833

0.01472632 0.10521065 0.99434092

J =5,0-

0.87597098 -0.48206832 0.01688107

0.48097207 0.87025200 -0.10642991

0.03661570 0.10134883 0.99417690

J =5, E0.97919940

0.20290030 -0.20290030

0.97919940

J — 6, E +

0.77467201 -0.61416013 0.15060905 -0.00274565

0.62131536 0.69492778 -0.36173794 0.01372117

0.11754960 0.37301494 0.91459593 -0.10274354

0.00571004 0.02725028 0.09988424 0.99460945

J = 6, 0+

0.94974637 -0.31144161 0.03139980

0.31133337 0.92946189 -0.19791947

0.03245544 0.19774911 0.97971523

II On 0 1

0.78269251 -0.62043825 0.04948557

0.61615579 0.76113516 -0.20254707

0.08800275 0.18902289 0.97802140

J = 6, E0.95440708 -0.29822113 0.01308771 0.29795392 0.94904841 -0.10261864

0.01818218 0.10183949 0.99463467

II +

0.74267673 0.61870810 0.25599778 -0.00983347

0.65067130 -0.57656678 -0.49276358 0.03717062

0.15771671 -0.52834300 0.81202435 -0.19129969

0.01354882 -0.07499805 0.17962641 0.98077830

J = 7, 0 +

0.93118573 -0.35968021 0.05933863 -0.00148877

0.36056431 0.88474429 -0.29506032 0.01266181 0.05368023 0.29585599 0.94841585 -0.10047405

0.00222584 0.01808088 0.09962781 0.99485799

II r- O 1

0.69764939 0.70804057 0.10936108 -0.00200768

0.70074410 -0.64260327 -0.30960659 0.01274766

0.14895357 -0.29213987 0.93934481 -0.10049113

0.00747478 -0.01984638 0.09907194 0.99485426

J =7, E0.92179406 -0.38617590 0.03411587

0.38531318 0.90290335 -0.19052373

0.04277233 0.18876893 0.98108961

15
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0 . r

200000 -CONTI

N

JED

J = 8 . E+

0.71649521 - 0.59762330 0.35891055 -0.02577037 0.00032517

0.66936911 0.44484245 -0.59002914 0.07696126 - 0.00166530

0.19495395 0.65140111 0.67488442 -0.28644495 0.01224127

0.02391276 0.14347991 0.25944448 0.94960336 - 0.09891265

0.00086482 0.00718893 0.01638321 0.09805917 0.99501938

J = 8 . 0+

0.91316991 - 0.39649428 0.09428740 - 0.00478466

0.40024370 0.82869898 - 0.38987465 0.03256899

0.07677389 0.39253081 0.89773512 -0.18465369

0.00560982 0.04438298 0.18215185 0.98225220

J = 8 . 0 -

0.62864177 0.75025927 0.20462362 -0.00705166

0.74816856 - 0.51174975 - 0.42102606 0.03306146

0.21139670 - 0.41490875 0.86545897 - 0.18477806

0.01909888 - 0.05544323 0.17845728 0.98219870

J =8,E0.88487837 - 0.46102636 0.06665152 - 0.00159609

0.45978732 0.84147204 - 0.28349754 0.01222971 0.07467070 0.28123788 0.95160196 - 0.09891034

0.00319087 0.01687457 0.09818572 0.99501992

J = 9 . E +

0.69447226 - 0.56799125 -0.43804268 - 0.05666625 0.00133024

0.68126117 0.32450059 0.64135560 0.13861977 - 0.00548986

0.22863305 0.72317427 - 0.52542132 - 0.38434102 0.03098901

0.03623700 0.22066714 - 0.34482934 0.89363094 - 0.18030353

0.00230368 0.02025583 -0.04250609 0.17685932 0.98310651

J = 9 , 0 +

0.89612668 - 0.42328432 0.13289637 - 0.01121945 0.00018158

0.43215174 0.76424209 - 0.47448985 0.06352862 - 0.00154690

0.10045894 0.47977536 0.82764693 - 0.27309816 0.01189791 0.01047508 0.08104231 0.26823948 0.95489182 - 0.09773232

0.00033591 0.00348815 0.01568651 0.09714549 0.99514040

J = 9 , 0-

0.57356321 0.74944949 0.33017272 -0.01834726 0.00024218

0.77228323 - 0.36093436 - 0.51866587 0.06548513 - 0.00155610

0.27081088 - 0.54276597 0.74635150 -0.27365017 0.01189946

0.03554701 - 0.11586713 0.25436420 0.95449379 - 0.09773263

0.00132086 - 0.00563592 0.01516515 0.09711980 0.99514032

J =9, E0.84684045 - 0.52014704 0.11082398 - 0.00513362

0.51998911 0.76603240 -0.37662997 0.03091221 0.11135734 0.37533346 0.90234247 -0.18028423

0.00849272 0.04202631 0.17789318 0.98311529

J = 10 . E +

0.67553533 - 0.54060295 -0.48934779 - 0.10919527 0.00395112 - 0.00003911 0.68863870 0.22563415 0.65083444 0.22605017 - 0.01348305 0.00020367

0.25868044 0.75314508 -0.36819969 - 0.47612012 0.05994414 - 0.00149506

0.04992685 0.29662809 - 0.44017432 0.80332828 —0.26512963 0.01164517

0.00452677 0.04024521 - 0.08724958 0.25443718 0.95741106 -0.09681496

0.00013038 0.00150814 - 0.00404260 0.01458582 0.09633092 0.99523313

J = 10 , 0 +

0.88018408 - 0.44199878 0.17155071 - 0.02197611 0.00068305

0.45788031 0.69572861 - 0.54304095 0.10672377 - 0.00488629

0.12386025 0.55197943 0.74013796 - 0.36234748 0.02962185

0.01671378 0.12578565 0.35547658 0.90896347 - 0.17697579

0.00094036 0.00977050 0.03884685 0.17497658 0.98375697

16
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.200000 —

-CONT1NUED

II 0 © 1

0.52887447 0.71290427 0.45870626 -0.04058221 0.00097302

0.78200026 -0.20115280 -0.57899831 0.11291453 -0.00494078

0.32498183 -0.64192379 0.59068972 -0.36404418 0.02963353

0.05604053 -0.19728042 0.32260637 0.90694187 -0.17697872

0.00369676 -0.01786977 0.03688234 0.17473314 0.98375557

J =10, E0.80974226 -0.56317823 0.16431490 -0.01217874 0.00019568

0.56695874 0.67887769 -0.46274102 0.05959354 -0.00149384

0.15033429 0.46447059 0.83143805 -0.26503177 0.01164497

0.01656992 0.07881071 0.25954443 0.95748518 -0.09681492

0.00054466 0.00336167 0.01479281 0.09633577 0.99523314

J = 11, E +

0.65897029 -0.51796636 -0.51299443 -0.18495744 0.00982030 -0.00017776

0.69293079 0.14648852 0.62108053 0.33443139 -0.02832036 0.00077616

0.28529488 0.75607283 -0.19836520 -0.54535619 0.10088157 -0.00463606

0.06445516 0.36630154 -0.53581613 0.67130143 -0.35086162 0.02864091 0.00756913 0.06640141 -0.15640340 0.32352387 0.91432463 -0.17439701

0.00038195 0.00445866 -0.01363774 0.03492430 0.17271660 0.98424756

J = 11, 0 +

0.86533162 -0.45469578 0.20740741 -0.03783692 0.00186418 -0.00002225

0.47872091 0.62726982 -0.59255912 0.16155819 -0.01146594 0.00019033

0.14642888 0.60715905 0.63815659 -0.44664102 0.05641217 -0.00145128

0.02413136 0.17534253 0.43958244 0.84161190 -0.25884036 0.01144716

0.00193530 0.01991902 0.07327960 0.25390621 0.95944242 -0.09608053

0.00005059 0.00066141 0.00306671 0.01414798 0.09567987 0.99530666

J =11,0-

0.49181323 -0.66064760 -0.56142734 -0.08034712 0.00286049 -0.00002948

0.78267649 0.05645192 0.59368953 0.17783885 -0.01169340 0.00019138

0.37302963 0.69089769 -0.42151168 -0.45016212 0.05647238 -0.00145144

0.07955487 0.28549095 -0.38691043 0.83386346 -0.25885701 0.01144719

0.00755812 0.03887334 -0.07036169 0.25247767 0.95942927 -0.09608053

0.00022269 0.00144621 -0.00308782 0.01408913 0.09567900 0.99530666

J =11, E0.77463239 0.59139510 0.22271307 -0.02438950 0.00073248

0.60269262 -0.58400749 -0.53455858 0.09961209 -0.00462790

0.18961556 -0.54143429 0.73973797 -0.35051732 0.02863916

0.02738011 -0.12625339 0.34077119 0.91475201 -0.17439658

0.00159143 -0.00980225 0.03617670 0.17276849 0.98424777

J = 12. E+

0.64428224 -0.49947744 0.51077046 0.27215552 0.02161585 -0.00058355

0.69506514 0.08266463 -0.55758640 -0.44301280 -0.05369684 0.00217338

0.30878918 0.74254308 0.02464319 0.57317251 0.15501566 -0.01072922

0.07939325 0.42747547 0.60506376 -0.50447578 -0.43295198 0.05398191 0.01140710 0.09743098 0.24582488 -0.37761271 0.85012696 -0.25399324

0.00082009 0.00951122 0.03271424 -0.06364008 0.24953956 0.96093823

0.00001962 0.00028325 0.00119094 -0.00265916 0.01364873 0.09513635

J = 12, 0+

0.85150206 -0.46313476 -0.23870589 -0.05875308 0.00424264 -0.00009440

0.49568402 0.56169724 0.62257083 0.22511103 -0.02288346 0.00069911

0.16785057 0.64615641 -0.52550161 -0.51903818 0.09346632 -0.00442177

0.03250153 0.22652975 -0.51473571 0.75198727 -0.34119385 0.02787428

0.00337751 0.03412472 -0.11931804 0.33138640 0.91927809 -0.17233151

0.00015451 0.00201817 -0.00913618 0.03421496 0.17098814 0.98463436

J =12, 0-

0.46047011 -0.60974737 0.62853240 -0.14516292 0.00708179 -0.00013180

0.77759929 -0.06102181 -0.56838797 0.26074991 -0.02365975 0.00070557

0.41484876 0.69570842 0.24927384 -0.52244756 0.09371146 -0.00442298

0.10505408 0.36851997 0.45268870 0.72869365 -0.34125971 0.02787453

0.01305012 0.06816370 0.12131390 0.32534834 0.91919347 -0.17233157

0.00067794 0.00458468 0.01002823 0.03376067 0.17097781 0.98463433

0.00000475 0.00002504

0.00018425 0.00141768

0.01128843 0.09547937

0.99536637

17
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.:r'00000 -CONTINlJED

J =12, E0.74191201 0.60728139 0.28087507 -0.04337134 0.00200314 -0.00002409

0.62929122 -0.48660469 -0.58671694 0.15118645 -0.01069098 0.00018411 0.22780625 -0.60090520 0.63037436 -0.43212318 0.05397191 -0.00141766

0.04064390 -0.18139662 0.41821430 0.85199855 -0.25399049 0.01128843

0.00339354 -0.02080685 0.06774751 0.24988582 0.96094048 -0.09547937

0.00009059 -0.00068980 0.00276878 0.01366304 0.09513650 0.99536637

J = 13, E +

0.63111491 -0.48409884 0.49226351 0.35090837 0.04335540 -0.00159558 0.00002356

0.69566381 0.03040967 -0.47799326 -0.52698315 -0.09440253 0.00514495 -0.00010697

0.32950692 0.71917357 -0.13005060 0.55436281 0.22255748 -0.02123693 0.00066420

0.09441136 0.47941767 0.62680074 -0.32492576 -0.50487823 0.08870792 -0.00426037

0.01597822 0.13184180 0.33983826 -0.41912288 0.76093964 -0.33382028 0.02726348

0.00148881 0.01698754 0.06244601 -0.10261032 0.32354253 0.92275820 -0.17064104

0.00006229 0.00089729 0.00414716 -0.00802067 0.03264529 0.16950579 0.98494656

J = 13, 0+

0.83860956 -0.46862253 -0.26468360 -0.08364924 0.00849992 -0.00028935 0.00000274

0.50955157 0.50050014 0.63458339 0.29237909 -0.04088571 0.00188515 -0.00002352

0.18796964 0.67121515 -0.40721594 -0.57295039 0.14120649 -0.01006792 0.00017894

0.04159883 0.27680962 -0.57471381 0.64192495 -0.42020064 0.05207550 -0.00139059

0.00529533 0.05214659 -0.17528877 0.40391864 0.86064061 -0.25009901 0.01115825

0.00034496 0.00446311 -0.01997853 0.06340995 0.24671775 0.96211719 -0.09497819

0.00000761 0.00012046 -0.00065529 0.00252942 0.01327986 0.09467910 0.99541583

II CO © 1

0.43353260 -0.56605211 0.65921421 -0.23838430 0.01561637 -0.00042803 0.00000361

0.76885231 -0.15273575 -0.50717547 0.35558741 -0.04318437 0.00191331 -0.00002364

0.45075843 0.67151087 0.07210301 -0.56605202 0.14203782 -0.01007417 0.00017896

0.13161573 0.44086488 0.51422937 0.58689862 -0.42038037 0.05207712 -0.00139059

0.02018635 0.10422234 0.19484320 0.38484193 0.86022601 -0.25009945 0.01115825

0.00150344 0.01028235 0.02478594 0.06128830 0.24664100 0.96211682 -0.09497819

0.00003668 0.00030639 0.00087182 0.00246489 0.01327669 0.09467908 0.99541583

J =13, E0.71163666 -0.61385495 -0.33437906 -0.07017727 0.00459841 -0.00010149

0.64861382 0.39154313 0.61664835 0.21282299 -0.02109125 0.00066325

0.26401753 0.64089849 -0.50770050 -0.50388971 0.08866271 -0.00426019

0.05595384 0.24032126 -0.48777226 0.76747758 -0.33380824 0.02726344

0.00609951 0.03696030 -0.11038801 0.32523951 0.92277414 -0.17064103

0.00028644 0.00219638 -0.00826868 0.03277354 0.16950774 0.98494657

J = 14, £ +

0.61920338 -0.47101040 0.46958551 -0.40961172 0.08018256 -0.00384958 0.00008407 -0.00000058

0.69515522 -0.01300979 -0.40059286 0.57600459 -0.15561279 0.01088922 -0.00033303 0.00000309

0.34778160 0.69009043 -0.25180350 -0.49710256 0.30144218 -0.03790388 0.00176347 -0.00002281

0.10926634 0.52224515 0.60438043 0.14718355 -0.55724652 0.13329155 -0.00958232 0.00017474

0.02119741 0.16817178 0.42424359 0.45474630 0.64292108 -0.41059195 0.05056641 -0.00136834

0.00242135 0.02700318 0.10125405 0.15657108 0.38867774 0.86737620 -0.24690914 0.01104955

0.00014420 0.00205732 0.00995040 0.01881217 0.05950650 0.24406540 0.96306461 -0.09455396

0.00000295 0.00005075 0.00029404 0.00063478 0.00232695 0.01296611 0.09428903 0.99545746

J = 14, 0 +

0.82656642 -0.47205946 -0.28540954 0.11068589 0.01540448 -0.00073787 0.00001280

0.52092871 0.44421823 0.63164304 -0.35751420 -0.06705010 0.00428773 -0.00009726

0.20673292 0.68492705 -0.28919171 0.60379677 0.19886848 -0.01962069 0.00063385

0.05121647 0.32440831 -0.61491295 -0.51562094 -0.49084125 0.08491783 -0.00413118

0.00769275 0.07345529 -0.23763585 -0.46789793 0.78162968 -0.32784839 0.02676459

0.00064957 0.00826938 -0.03664966 -0.10252896 0.32069592 0.92552178 -0.16923169

0.00002504 0.00039457 -0.00216603 -0.00748787 0.03165983 0.16825553 0.98520395

J =14, 0-

0.41007523 -0.52949686 0.65449729 0.34943563 0.03159212 -0.00116335 0.00001764

0.75779124 -0.22409405 -0.41503146 -0.44487803 -0.07312622 0.00438820 -0.00009805

0.48128182 0.63030187 -0.10318074 0.56528750 0.20125791 -0.01964695 0.00063399

0.15848240 0.50069367 0.55109800 -0.41481880 -0.49109680 0.08492587 -0.00413120

0.02887899 0.14517393 0.28705939 -0.42318721 0.77999854 -0.32785051 0.02676460

0.00280486 0.01907452 0.05111646 -0.09599579 0.32027429 0.92551889 -0.16923169

0.00012018 0.00101372 0.00330629 -0.00714671 0.03162804 0.16825518 0.98520394

18
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

K.4PPA = -0..

1

200000 —CONT1NI

1JED

II Tj- 1

0.68369896 -0.61393318 -0.38024789 -0.10471730 0.00935443 -0.00031041 0.00000298

0.66219362 0.30224891 0.62436714 0.28090424 -0.03742442 0.00175894 -0.00002280

0.29774310 0.66238724 -0.37680739 -0.55928096 0.13312160 -0.00958133 0.00017474

0.07285547 0.29926428 -0.54448995 0.66147501 -0.41055531 0.05056616 -0.00136834

0.00979959 0.05822577 -0.16367004 0.39515646 0.86746241 -0.24690907 0.01104955

0.00065877 0.00504151 -0.01832661 0.06023756 0.24408135 0.96306467 -0.09455396

0.00001480 0.00013642 -0.00059090 0.00234964 0.01296677 0.09428904 0.99545746

J = 15, E+

0.60834538 -0.45964414 0.44903089 -0.44543404 -0.13613009 -0.00845406 0.00024914 -0.00000310

0.69384110 -0.04954733 -0.33303628 0.58940363 0.23951693 0.02122923 -0.00087030 0.00001450

0.36391875 0.65791814 -0.34176260 -0.40777722 -0.38428696 -0.06269570 0.00396342 -0.00009265

0.12378570 0.556^6272 0.55295542 -0.02774171 0.57699059 0.18741901 -0.01847543 0.00061023

0.02696943 0.20513133 0.49296925 0.48234456 -0.49435479 -0.48000141 0.08194263 -0.00402597

0.00363945 0.03949065 0.14663665 0.23013503 -0.43625033 0.79288101 -0.32294559 0.02634956

0.00028094 0.00394742 0.01935682 0.03893236 -0.09359258 0.31688150 0.92773028 -0.16803869

0.00001004 0.00017173 0.00102565 0.00242466 -0.00671188 0.03075167 0.16718317 0.98541976

J = 15, 0 +

0.81529008 -0.47404991 0.30153069 0.13783306 0.02563819 -0.00165566 0.00004312 -0.00000034

0.53028624 0.39284779 -0.61759065 -0.41534778 -0.10227219 0.00868576 -0.00029307 0.00000291 0.22415103 0.68970476 0.17685345 0.60981653 0.26404313 -0.03447898 0.00165577 -0.00002218

0.06117431 0.36822182 0.63378428 -0.37859964 -0.54726588 0.12675039 -0.00919534 0.00017128

0.01055467 0.09736938 0.30188324 -0.51961495 0.68168050 -0.40267889 0.04933763 -0.00134975

0.00109316 0.01362559 0.05950876 -0.15165659 0.38938879 0.87285276 -0.24424680 0.01095742

0.00005995 0.00093536 0.00515500 -0.01657387 0.05785791 0.24183403 0.96384377 -0.09419022

0.00000114 0.00002125 0.00013885 -0.00052341 0.00221292 0.01270543 0.09395263 0.99549299

J =15, 0-

0.38942509 -0.49864517 0.62421611 0.45441453 0.05962320 -0.00280125 0.00006228 -0.00000044

0.74531488 -0.27997993 -0.30800469 -0.50748157 -0.11675399 0.00899797 -0.00029667 0.00000293

0.50701375 0.57979696 -0.25555616 0.51716278 0.26982983 -0.03457402 0.00165648 -0.00002218

0.18506828 0.54779162 0.54438669 -0.23277116 -0.54678711 0.12678353 -0.00919549 0.00017128

0.03897115 0.18905686 0.38171148 -0.44152208 0.67638843 -0.40268600 0.04933767 -0.00134975

0.00466796 0.03123704 0.08968183 -0.13835281 0.38755568 0.87283570 -0.24424681 0.01095742

0.00028596 0.00240818 0.00866020 -0.01570459 0.05765167 0.24183088 0.96384376 -0.09419022

0.00000595 0.00005963 0.00025164 -0.00050843 0.00220652 0.01270530 0.09395263 0.99549299

J =15, E0.65792521 -0.60972583 -0.41704120 0.14541100 0.01733413 -0.00079340 0.00001381 0.67125605 0.22051362 0.61200263 -0.34995691 -0.06128973 0.00394561 -0.00009253

0.32874610 0.66800934 -0.24362101 0.59251507 0.18687610 -0.01847085 0.00061021 0.09090136 0.35526295 -0.58329210 -0.53686250 -0.47994122 0.08194125 -0.00402596

0.01452773 0.08406391 -0.22530846 -0.45575732 0.79325635 -0.32294523 0.02634956

0.00127237 0.00964155 -0.03436033 -0.09658310 0.31697806 0.92773078 -0.16803869

0.00005013 0.00046334 -0.00200356 -0.00687832 0.03075892 0.16718324 0.98541976

19
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = 300000 -0 . J = 2 , E+

0.98454360

0.17513965

J = 3 , E+

0.94145719 0.33713254

J = 3 , 0 +

0.99615792

0.08757515

J = 3 , 0 -

0.99283541 0.11948994

J = 4, E +

0.88504074

0.46455831 0.02980703

J = 4 , 0 +

0.98713313 0.15990054

J = 4 , 0-

0.96636774

0.25716413

J = 4, E0.99572789

0.09233615

J = 5 , £+

0.83355441 0.54870259

0.06412893

7 = 5 , 0+

0.97364279 0.22778066

0.01164854

J =5,0-

0.90847345

0.41707739 0.02687816

J =5, E0.98454360

0.17513965

J = 6 , E +

0.79186261 0.60212734

0.10187076

0.00431599

J = 6 , 0 +

0.95747069

0.28732088 0.02639298

./ = 6, O -

0.82589483

0.55965188

0.06846532

- 0.17513965 0.98454360

-0.33713254

0.94145719

-0.08757515

0.99615792

- 0.11948994

0.99283541

-0.46520288

0.88029617

0.09308562

- 0.15990054 0.98713313

- 0.25716413

0.96636774

- 0.09233615

0.99572789

- 0.55010800

0.81377927

0.18746862

- 0.22790063

0.96959901 0.08910142

- 0.41777604

0.90441643 0.08656845

- 0.17513965 0.98454360

-0.60059209

0.73759087

0.30805950

0.01866001

-0.28757285

0.94284492

0.16836065

- 0.56277189

0.81083769

0.16071724

0.01700468 - 0.09625089

0.99521184

0.05067772 - 0.19154313

0.98017498

0.00900117 - 0.08940767 0.99595444

0.01179669 -0.08987419

0.99588326

0.11063458 - 0.30546294

0.94189911

0.08531381

0.02348904 - 0.16879030

0.98537206

0.03443144 - 0.17126589

0.98462301

- 0.00165562

0.00973527 -0.08687781 0.99617003

20
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0 ..

1300000 -CONTINIJED

J = 6 . E0.96506081 - 0.26185689 0.00941279

0.26166829 0.96124473 - 0.08682323

0.01368727 0.08625273 0.99617926

J = 7 , E+

0.75849486 - 0.62091305 0.19778077 - 0.00594120

0.63645753 0.64069248 - 0.42865191 0.02631530

0.13962781 0.44852759 0.86775732 - 0.16224765

0.01055584 0.05294460 0.15536259 0.98638122

J =1,0+

0.94028806 - 0.33733228 0.04543620 - 0.00092236

0.33742424 0.90622966 -0.25457938 0.00905648

0.04472833 0.25452217 0.96228646 - 0.08498594

0.00161861 0.01316057 0.08443732 0.99634056

II t-4 O 1

0.74126538 -0.66688470 0.07608564 - 0.00118661 0.66005312 0.70366366 - 0.26287760 0.00909339

0.12177021 0.24481717 0.95812989 - 0.08499225

0.00524620 0.01366757 0.08422265 0.99633941

II

Fq 1

0.93796632 - 0.34584145 0.02475647

0.34514245 0.92448136 - 0.16189785

0.03310409 0.16039924 0.98649694

J = 8 . E+

0.73122201 0.61381038 0.29716527 - 0.01561975 0.00016564

0.65889533 -0.52322046 - 0.53771914 0.05435459 - 0.00099859

0.17551562 -0.58130831 0.75599411 - 0.24427731 0.00874206

0.01911072 - 0.10741123 0.22558042 0.96447514 - 0.08365876

0.00060340 -0.00454432 0.01171818 0.08317395 0.99645560

J = 8 , 0 +

0.92318677 -0.37709173 0.07429004 - 0.00300076

0.37873792 0.85963076 - 0.34211786 0.02340751 0.06531585 0.34314839 0.92380220 - 0.15675626

0.00419668 0.03295397 0.15500279 0.98735534

J = 8 , O0.66841126 0.72964483 0.14431745 - 0.00415692

0.72173363 - 0.58939985 - 0.36214707 0.02361961 0.17924986 - 0.34469506 0.90800190 - 0.15680356

0.01401594 - 0.03757064 0.15347483 0.98733858

J = 8 , E0.90560175 - 0.42128205 0.04905070 - 0.00096883

0.41993563 0.87440955 - 0.24286965 0.00873787

0.05945377 0.24038068 0.96523764 - 0.08365804

0.00218957 0.01210405 0.08321451 0.99645574

J = 9 . E +

0.70835578 - 0.58995629 0.38598746 - 0.03459599 0.00067914

0.67366397 0.40283309 - 0.61181272 0.09786078 - 0.00328995

0.20863911 0.67730723 0.62262084 - 0.33102184 0.02219151 0.02959597 0.17534149 0.29691813 0.92563973 - 0.15300377

0.00165341 0.01368806 0.02969493 0.15113575 0.98797070

J =9,0+

0.90673634 - 0.40755422 0.10806299 -0.00715130 0.00009491 0.41255056 0.80431226 - 0.42516363 0.04603097 - 0.00093431

0.08698642 0.42797667 0.86875476 - 0.23337152 0.00849919

0.00803478 0.06174291 0.22955937 0.96777743 - 0.08265954

0.00022500 0.00226418 0.01122288 0.08230789 0.99654116

21
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0. r~

300000 -CONT1N JED

J =9, 0-

0.60907762 0.75496045 0.24278108 -0.01079332 0.00012098

0.75671075 -0.46176503 -0.46039484 0.04687857 -0.00093765

0.23597079 -0.45874714 0.82415462 -0.23359314 0.00849967

0.02702449 -0.07967712 0.22302898 0.96765009 -0.08265963

0.00086700 -0.00322234 0.01100746 0.08230099 0.99654114

J =9, E0.87072733

0.48322682

0.09104656

0.00602339

-0.48466087

0.81186245

0.32412416

0.03044239

0.08323413 -0.32692504

0.92911022

0.15148036

-0.00313656

0.02216359 -0.15299757

0.98797302

J = 10, £+

0.68875563 -0.56235541 -0.45249055 -0.06797262 0.00202290 -0.00001683

0.68330558 0.29639956 0.64750820 0.16096184 -0.00807428 0.00010319

0.23868805 0.73082665 -0.48196059 -0.41806199 0.04310189 -0.00090177

0.04154599 0.24692389 -0.37438422 0.86363419 -0.22628694 0.00831829

0.00333162 0.02870281 -0.05942004 0.22072670 0.96964392 -0.08188219

0.00008382 0.00091837 -0.00226795 0.01053061 0.08159549 0.99660689

J = 10, 0 +

0.89117622 -0.42996927 0.14396684 -0.01431094 0.00036044

0.44020611 0.74306235 -0.49792892 0.07832583 -0.00296282

0.10886399 0.50320881 0.79782819 -0.31296824 0.02122692

0.01310532 0.09860355 0.30664583 0.93462522 -0.15016530

0.00064765 0.00655768 0.02790790 0.14895246 0.98842850

J =10, 0-

0.56078975 0.74433105 0.36182449 -0.02385270 0.00048544

0.77454257 -0.31814419 -0.54063832 0.08105176 -0.00298263

0.28925443 -0.56939668 0.70231662 -0.31371950 0.02123051 0.04386594 -0.14292010 0.28779306 0.93395660 -0.15016609

0.00251319 -0.01080848 0.02682851 0.14888523 0.98842819

II © 1

0.83555379 -0.53453568 0.12674790 -0.00751202 0.00010029

0.53466258 0.73810763 -0.40924991 0.04297383 -0.00090140

0.12585276 0.40754490 0.87567588 -0.22625385 0.00831824

0.01211426 0.05806473 0.22255117 0.96966387 -0.08188218

0.00034439 0.00209044 0.01059323 0.08159658 0.99660689

J = 11, E +

0.67165405 -0.53756965 -0.49531702 -0.12056239 0.00504558 -0.00007667

0.68941502 0.20857907 0.64851907 0.24563676 -0.01694571 0.00039331 0.26567638 0.75194733 -0.33411098 -0.49702336 0.07294540 -0.00280374

0.05450970 0.31566132 -0.45943938 0.77108307 -0.30217858 0.02052016

0.00569676 0.04938295 -0.10635440 0.28787620 0.93885715 -0.14795995

0.00025240 0.00284623 -0.00762380 0.02555888 0.14697517 0.98877639

J = 11, 0 +

0.87656988 -0.44591443 0.17928413 -0.02533340 0.00099547 -0.00000982

0.46288315 0.67933580 -0.55641307 0.12082070 -0.00699334 0.00009709

0.13034723 0.56522306 0.71290122 -0.39198617 0.04062540 -0.00087559

0.01929167 0.14140252 0.38368144 0.88520007 -0.22085220 0.00817687

0.00136672 0.01382971 0.05309078 0.21777399 0.97106105 -0.08125988

0.00003121 0.00039346 0.00186305 0.01013680 0.08102114 0.99665902

J = 11, 0-

0.52084417 0.70620878 -0.47722827 -0.04734612 0.00142595 -0.00001244

0.78136139 -0.17158259 0.58611735 0.12825819 -0.00707610 0.00009741

0.33777581 -0.64988283 -0.55385952 -0.39388671 0.04064395 -0.00087563

0.06383679 -0.22099992 -0.34558141 0.88250367 -0.22085695 0.00817687

0.00529896 -0.02528418 -0.05029362 0.21736200 0.97105807 -0.08125989

0.00013519 -0.00079371 -0.00181515 0.01012253 0.08102097 0.99665902

22
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

1 1 KAPPA = -0.300000 -CONTINUED

J =11, E0.80146570 - 0.57095252 0.17729442 - 0.01524801 0.00037741 0.57530178 0.65531730 -0.48407284 0.07247572 - 0.00280123

0.16203802 0.48524095 0.80413253 -0.30205086 0.02051971

0.02057165 0.09526016 0.29484804 0.93897541 - 0.14795985

0.00103954 0.00625911 0.02599394 0.14698715 0.98877643

J = 12 , E +

0.65652011 - 0.51687408 - 0.51453966 - 0.19221570 0.01115866 - 0.00025243 0.00000173

0.69303227 0.13715570 0.61648788 0.34612855 - 0.03211056 0.00110172 - 0.00001072

0.28978244 0.75180978 - 0.17603054 - 0.55409878 0.11293168 - 0.00651247 0.00009387

0.06809352 0.37835712 - 0.54184149 0.64361666 -0.37797386 0.03885343 - 0.00085528

0.00875853 0.07495030 -0.17392191 0.34606156 0.89291756 - 0.21663683 0.00806344

0.00055570 0.00631408 - 0.01906583 0.04710673 0.21407728 0.97212528 - 0.08075046

0.00001162 0.00016144 - 0.00057849 0.00162533 0.00978489 0.08054595 0.99670136

J = 12 , 0 +

0.86289668 - 0.45697769 0.21193812 - 0.04071415 0.00229972 - 0.00004198

0.48154752 0.61617723 - 0.59868158 0.17268376 - 0.01407708 0.00035785

0.15105204 0.61295872 0.61645922 - 0.46565856 0.06780756 - 0.00267551 0.02643132 0.18755899 0.45706642 0.81767392 - 0.29363898 0.01997027

0.00243981 0.02446825 0.08774490 0.28720732 0.94225012 - 0.14619453

0.00009797 0.00124546 0.00563425 0.02461915 0.14539441 0.98905058

II r-H <N © 1

l -> 0.48718017 - 0.65721762 - 0.56851112 - 0.08662059 0.00352956 - 0.00005560

0.78100485 0.04057683 0.59329731 0.19020230 - 0.01435976 0.00035983

0.38102557 0.68769743 -0.39660052 - 0.46902494 0.06788392 - 0.00267583

0.08612679 0.30207540 - 0.40047571 0.80889870 - 0.29365951 0.01997033

0.00940339 0.04726458 - 0.08419253 0.28533867 0.94223047 - 0.14619455

0.00042501 0.00269581 - 0.00567938 0.02450097 0.14539240 0.98905058

J =12, E0.76917081 0.59509261 0.23125019 - 0.02762811 0.00103964 - 0.00001043

0.60672962 - 0.56686822 - 0.54595870 0.11147381 - 0.00650073 0.00009383

0.19816948 - 0.55182647 0.71562662 -0.37760406 0.03885083 - 0.00085528

0.03129008 -0.14079917 0.36597142 0.89345688 - 0.21663617 0.00806344

0.00228343 -0.01371829 0.04891946 0.21415988 0.97212571 - 0.08075046

0.00005284 - 0.00038628 0.00167049 0.00978776 0.08054597 0.99670136

J = 13 , E +

0.64297379 - 0.49970043 0.51193652 0.27257287 0.02255521 - 0.00069268 0.00000858

0.69485789 0.07862759 - 0.55649378 - 0.44508893 - 0.05651470 0.00260942 - 0.00004581 0.31125582 0.73829731 0.01627669 0.57511564 0.16384770 - 0.01295264 0.00033925

0.08197546 0.43360104 0.60021182 - 0.48837065 - 0.44985931 0.06426507 - 0.00257758

0.01248955 0.10434574 0.25725508 - 0.39067083 0.82908400 - 0.28703718 0.01953162

0.00103216 0.01166530 0.03913563 - 0.07542606 0.28132259 0.94474723 - 0.14474957

0.00003789 0.00053127 0.00217528 - 0.00481577 0.02356284 0.14407383 0.98927211

J = 13 , 0 +

0.85009999 - 0.46450583 - 0.24063262 - 0.06031762 0.00469559 - 0.00012992 0.00000102

0.49696938 0.55566610 0.62454233 0.23141808 - 0.02546048 0.00096958 - 0.00001013

0.17075283 0.64723031 - 0.51162874 - 0.52859781 0.10353429 - 0.00611725 0.00009118

0.03434562 0.23467213 - 0.52225634 0.73176033 - 0.36622298 0.03747714 - 0.00083895

0.00390422 0.03851381 - 0.13178766 0.35470017 0.89987715 - 0.21325765 0.00797040

0.00022428 0.00285045 - 0.01261167 0.04587033 0.21123866 0.97296181 - 0.08032575

0.00000432 0.00006617 - 0.00034870 0.00152696 0.00950961 0.08014721 0.99673644

J = 13, 0-

0.45833813 - 0.60998954 0.62931492 - 0.14744818 0.00778743 - 0.00018056 0.00000129

0.77592801 - 0.06684801 - 0.56706251 0.26686053 - 0.02629982 0.00097825 - 0.00001016

0.41898835 0.68930535 0.23722712 - 0.53124233 0.10379946 - 0.00611887 0.00009119

0.10994314 0.37747796 0.45630239 0.70826378 - 0.36628974 0.03747750 - 0.00083895

0.01490654 0.07597236 0.13313533 0.34805051 0.89977743 - 0.21325774 0.00797040

0.00097058 0.00638751 0.01375079 0.04524448 0.21122338 0.97296175 - 0.08032575

0.00002055 0.00016201 0.00039931 0.00151066 0.00950908 0.08014720 0.99673644

23
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0. r

300000 -CONTIN

1UED

J = 13, E0.73894460 0.60896514 0.28463055 -0.04584721 0.00240971 -0.00004413

0.63056220 -0.47682393 -0.59100483 0.15992755 -0.01290789 0.00033900

0.23323067 -0.60351249 0.61282543 -0.44909465 0.06425321 -0.00257754

0.04402083 -0.19218612 0.43319669 0.83108199 -0.28703402 0.01953161 0.00421636 -0.02521780 0.08036899 0.28174715 0.94475035 -0.14474957

0.00017238 -0.00127732 0.00501868 0.02358968 0.14407415 0.98927212

J = 14, E+

0.63073424 -0.48522732 0.49523791 0.34593074 0.04239444 -0.00167833 0.00003072 -0.00000018

0.69537667 0.03003901 -0.48270665 -0.52316419 -0.09387169 0.00552661 -0.00014276 0.00000112

0.33036593 0.71650050 -0.12697372 0.55666181 0.22571864 -0.02325846 0.00090377 -0.00000982

0.09590372 0.48094183 0.61880977 -0.32285188 -0.51265248 0.09742749 -0.00582053 0.00008904

0.01683706 0.13640908 0.34350110 -0.42410267 0.74454310 -0.35718905 0.03638480 -0.00082553

0.00171404 0.01910664 0.06827139 -0.11200009 0.34553310 0.90480137 -0.21049004 0.00789272

0.00008995 0.00126062 0.00564219 -0.01087420 0.04347169 0.20880103 0.97363549 -0.07996623

0.00000161 0.00002679 0.00014064 -0.00030181 0.00141627 0.00928193 0.07980796 0.99676598

J = 14, 0 +

0.83811080 -0.46951762 -0.26478803 -0.08327466 0.00871796 -0.00033516 0.00000480

0.50975729 0.49892956 0.63521984 0.29309317 -0.04247387 0.00221969 -0.00004204

0.18933391 0.66979227 -0.40240567 -0.57580474 0.14800572 -r 0.01 198994 0.00032388

0.04285893 0.28083055 -0.57456744 0.62909001 -0.43546100 0.06150457 -0.00249940

0.00577781 0.05572479 -0.18372527 0.41744644 0.84208582 -0.28172453 0.01917335

0.00043217 0.00545099 -0.02384545 0.07466126 0.27741776 0.94671084 -0.14354497

0.00001461 0.00022460 -0.00119059 0.00453276 0.02277836 0.14296245 0.98945483

J = 14, 0 -

0.43328463 -0.56893835 0.65906270 -0.23229435 0.01578050 -0.00049100 0.00000629

0.76774443 -0.15216737 -0.51051574 0.35324646 -0.04471158 0.00225067 -0.00004224

0.45193147 0.66658331 0.07423830 -0.56888199 0.14880380 -0.01199675 0.00032391 0.13458130 0.44333616 0.50824720 0.57747144 -0.43561814 0.06150635 -0.00249941

0.02180079 0.11009184 0.20084686 0.39863922 0.84167407 -0.28172500 0.01917335 0.00185993 0.01238729 0.02901070 0.07227392 0.27733063 0.94671037 -0.14354497

0.00006941 0.00056255 0.00155034- 0.00442192 0.02277287 0.14296240 0.98945483

J = 14, E0.71082307 -0.61493293 -0.33401976 -0.07066952 0.00496471 -0.00013579 0.00000109

0.64823935 0.38893153 0.61732308 0.21655323 -0.02311097 0.00090259 -0.00000981

0.26655796 0.63890348 -0.49921994 -0.51187060 0.09738195 -0.00582032 0.00008904

0.05843628 0.24636178 -0.49335385 0.75072807 -0.35717767 0.03638475 -0.00082553

0.00694209 0.04109376 -0.12082024 0.34727550 0.90481875 -0.21049003 0.00789272

0.00040805 0.00304475 -0.01126168 0.04363573 0.20880370 0.97363550 -0.07996623

0.00000796 0.00007034 -0.00030434 0.00142056 0.00928202 0.07980796 0.99676598

J = 15, E+

0.61958814 -0.47279018 0.47418306 -0.40266962 0.07465819 -0.00370446 0.00009136 -0.00000095

0.69493174 -0.01081497 -0.40990531 0.57171267 -0.14818484 0.01078395 -0.00037351 0.00000525

0.34737532 0.68970660 -0.24229444 -0.50521663 0.29694878 -0.03875576 0.00204000 -0.00003997

0.10968842 0.52050221 0.59979593 0.15900273 -0.55916530 0.13862051 -0.01128256 0.00031179

0.02173307 0.17001364 0.42133167 0.45192188 0.63656006 -0.42442333 0.05932507 -0.00243568

0.00262587 0.02870277 0.10492244 0.16052460 0.40190970 0.85063090 -0.27736577 0.01887526

0.00017937 0.00249556 0.01170204 0.02175610 0.06975507 0.27377932 0.94828746 -0.14252534

0.00000562 0.00009387 0.00052500 0.00110997 0.00413622 0.02211585 0.14201424 0.98960811

J = 15, 0+

0.82685885 -0.47273627 -0.28443099 0.10816414 0.01496062 -0.00076265 0.00001631 -0.00000011

0.52039197 0.44640806 0.63305638 -0.35317610 -0.06631526 0.00453577 -0.00012720 0.00000106

0.20675318 0.68265478 -0.29336058 0.60373223 0.20057665 -0.02123269 0.00084921 -0.00000955

0.05180956 0.32467078 -0.61048814 -0.51296305 -0.49746360 0.09260971 -0.00558523 0.00008727

0.00806153 0.07566919 -0.24076683 -0.47267424 0.76756647 -0.34985809 0.03549570 -0.00081430

0.00074289 0.00924536 -0.04006378 -0.11144822 0.34170313 0.90869490 -0.20818128 0.00782687

0.00003588 0.00055026 -0.00294032 -0.01008712 0.04190865 0.20674061 0.97418987 -0.07965796

0.00000060 0.00001078 -0.00006714 -0.00026607 0.00133862 0.00909229 0.07951594 0.99679119

24
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0. r300000 -CONTIN JED

J =15, 0-

0.41127200 -0.53412694 0.65831572 0.33359902 0.02990741 -0.00118367 0.00002222 -0.00000013

0.75753796 -0.21967472 -0.42723673 -0.43609202 -0.07176559 0.00463215 -0.00012813 0.00000106

0.48026546 0.62903062 -0.08757018 0.56961969 0.20267669 -0.02125734 0.00084937 -0.00000955

0.15945530 0.49837802 0.54091307 -0.42110564 -0.49766183 0.09261719 -0.00558526 0.00008727

0.03000957 0.14814086 0.28436090 -0.43088681 0.76613743 -0.34985994 0.03549571 -0.00081430

0.00317228 0.02106191 0.05434734 -0.10479632 0.34130419 0.90869201 -0.20818128 0.00782687

0.00016995 0.00139295 0.00435055 -0.00964968 0.04187131 0.20674017 0.97418986 -0.07965796

0.00000307 0.00002951 0.00010558 -0.00025745 0.00133765 0.00909228 0.07951594 0.99679119

J =15, E0.68472293 -0.61522052 -0.37703865 -0.10204142 0.00935467 -0.00034975 0.00000507

0.66096901 0.30589278 0.62488140 0.27856808 -0.03832095 0.00203537 -0.00003994

0.29775902 0.65870441 -0.37881638 -0.56093239 0.13846915 -0.01128156 0.00031179

0.07417987 0.30042260 -0.54272854 0.65272830 -0.42439339 0.05932481 -0.00243568

0.01052343 0.06125020 -0.16983353 0.40779783 0.85070980 -0.27736571 0.01887526

0.00080939 0.00603650 -0.02155090 0.07050903 0.27379595 0.94828753 -0.14252534

0.00002779 0.00024852 -0.00105378 0.00417176 0.02211689 0.14201425 0.98960811 KAPPA = -0.<100000 J = 2, E+

0.98902091 -0.14777565

0.14777565 0.98902091

J = 3, E+

0.95540384 -0.29530240

0.29530240 0.95540384

J = 3, 0+

0.99719759 -0.07481283

0.07481283 0.99719759

J =3, 0-

0.99527770 -0.09706852

0.09706852 0.99527770

J = 4, E-\- 0.90542706 -0.42434082 0.01169195

0.42387096 0.90223732 -0.07938022

0.02313535 0.07682888 0.99677584

J = 4, 0 +

0.99025885 -0.13923867

0.13923867 0.99025885

II O 1

0.97779538 -0.20956190

0.20956190 0.97779538

J = 4, E -

0.99702180 -0.07712027

0.07712027 0.99702180

J = 5, E+

0.85514680 -0.51720533 0.03496566

0.51576866 0.84212222 -0.15752095

0.05202532 0.15273773 0.98689642

J = 5, 0+

0.97926831 -0.20246777 0.00635506

0.20237477 0.97648698 -0.07428077

0.00883383 0.07402691 0.99721712

J = 5, 0-

0.93695781 -0.34935211 0.00794792

0.34894696 0.93417621 -0.07450393

0.01860335 0.07258044 0.99718905

25
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0 .<100000 —

—CONTINlJED

J = 5 , E0.98902091 - 0.14777565

0.14777565 0.98902091

J = 6 , E+

0.81235467 - 0.57801452 0.07731890 - 0.00094370

0.57686391 0.77705223 - 0.25174092 0.00666148

0.08543050 0.24887539 0.96206348 - 0.07208691 0.00309038 0.01225102 0.07128920 0.99737566

J = 6 , 0+

0.96536766 -0.26034952 0.01683452

0.26007805 0.95524888 - 0.14092190

0.02060779 0.14041973 0.98987758

J = 6, 0 -

0.87030390 - 0.49197400 0.02308057 0.48996274 0.86007775 - 0.14213647

0.05007636 0.13501054 0.98957795

J = 6, E0.97449543 - 0.22431292 0.00650919

0.22419154 0.97187692 - 0.07206527

0.00983904 0.07168658 0.99737868

J = 7 , E+

0.77748363 - 0.61240960 0.14304606 - 0.00339149

0.61728057 0.69961642 - 0.35941408 0.01797456

0.12009462 0.36641187 0.91274689 - 0.13495459

0.00782168 0.03512394 0.13134862 0.99068293

J = 7 , 04-

0.94994228 - 0.31065296 0.03322823 -0.00053877

0.31035786 0.92608825 - 0.21447536 0.00623516

0.03586693 0.21394204 0.97363649 -0.07052908

0.00110911 0.00917047 0.07020108 0.99749009

II r~7 O 1

0.79146376 - 0.60909787 0.05083757 - 0.00066361 0.60389303 0.76643653 - 0.21874458 0.00624961

0.09426931 0.20369160 0.97193024 - 0.07053116

0.00340861 0.00919555 0.07012820 0.99748978

J = 7 , E0.95319351 - 0.30186918 0.01723761

0.30137281 0.94392796 - 0.13481257

0.02442469 0.13369742 0.99072117

J = 8 , E +

0.74889107 0.62202905 0.22839042 - 0.00893519 0.00007828

0.64438429 - 0.60326292 - 0.46847656 0.03704223 -0.00056672

0.15400796 - 0.49356447 0.83126270 - 0.20406329 0.00601276

0.01457541 - 0.07443842 0.19314109 0.97576801 - 0.06942473

0.00039340 - 0.00259707 0.00814702 0.06915924 0.99756891

II co ©+

0.93408690 - 0.35266363 0.05573946 - 0.00177104

0.35298433 0.88866088 - 0.29227106 0.01617216

0.05361831 0.29217524 0.94590776 - 0.13045003

0.00296603 0.02332051 0.12934157 0.99132140

J = 8 , 0-

0.71677327 0.69055597 0.09676344 - 0.00231790

0.68195141 - 0.66526147 - 0.30348842 0.01625524

0.14521057 -0.28275441 0.93911792 - 0.13046593

0.00960456 - 0.02468958 0.12879884 0.99131682

26
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.400000 -CONTINUED

J = 8, E0.92626218 -0.37529465 0.03452517 -0.00055506

0.37416461 0.90474634 -0.20346690 0.00601140

0.04513593 0.20129160 0.97602494 -0.06942454

0.00140183 0.00834777 0.06917052 0.99756894

J =9, E+

0.72496959 0.61048242 0.31833246 -0.01986579 0.00032151

0.66276971 -0.49308894 -0.55961316 0.06655248 -0.00186617

0.18606116 -0.60611739 0.72125121 -0.27850610 0.01529700

0.02313903 -0.12932917 0.25471075 0.94955584 -0.12729768

0.00111230 -0.00837715 0.02041294 0.12630986 0.99174478

J =9, 0 +

0.91848467 -0.38650713 0.08354554 -0.00427763 0.00004591 0.38864056 0.84321723 -0.37002640 0.03199047 -0.00053316

0.07287195 0.37094463 0.90496523 -0.19517561 0.00584658

0.00583875 0.04466715 0.19255835 0.97784805 -0.06859472

0.00013982 0.00136573 0.00773477 0.06839586 0.99762733

II 7° 0 1

0.65313054 0.73876360 0.16617103 -0.00600246 0.00005613

0.73069614 -0.55735273 -0.39293256 0.03232331 -0.00053424

0.19781346 -0.37535645 0.88420551 -0.19525316 0.00584671 0.01931840 -0.05187385 0.19003438 0.97781266 -0.06859474

0.00052353 -0.00170695 0.00766461 0.06839428 0.99762733

J =9, E0.89568628 -0.44068019 0.05952976 -0.00180604

0.43894664 0.85473033 -0.27663728 0.01528794

0.07110554 0.27347907 0.95076230 -0.12729595

0.00399145 0.02112420 0.12640838 0.99174531

J = 10, E +

0.70453331 -0.58729731 -0.39643771 -0.03938147 0.00095978 -0.00000659

0.67527042 0.38422413 0.61996524 0.10956198 -0.00457732 0.00004856

0.21572174 0.68544233 -0.59662389 -0.35606738 0.02980986 -0.00051415

0.03318865 0.19305567 -0.31769918 0.90824019 -0.18910916 0.00572202

0.00230508 0.01875517 -0.03982324 0.18630059 0.97914866 -0.06794874

0.00004960 0.00050077 -0.00123039 0.00729024 0.06778735 0.99767227

J = 10, 0+

0.90349365 -0.41281177 0.11493376 -0.00871044 0.00017577

0.41831871 0.79105849 -0.44296098 0.05494197 -0.00169560

0.09280735 0.44545180 0.85036839 -0.26385381 0.01463724

0.00976281 0.07327314 0.25899288 0.95490950 -0.12492509

0.00041497 0.00407976 0.01928960 0.12423577 0.99205674

J = 10, 0 -

0.60053901 0.75599256 0.26010163 -0.01323748 0.00022481 0.75915007 -0.43731210 -0.47886121 0.05602097 -0.00170204

0.24897405 -0.47762858 0.79993827 -0.26413511 0.01463820

0.03245754 -0.09523601 0.25056305 0.95471904 -0.12492527

0.00157988 -0.00586664 0.01886836 0.12422004 0.99205668

J = 10, E0.86349588 -0.49575157 0.09266205 -0.00435675 0.00004762

0.49408746 0.79463948 -0.35148152 0.02976822 -0.00051404

0.10091370 0.34801642 0.91263881 -0.18909958 0.00572201 0.00829609 0.04076241 0.18684620 0.97915324 -0.06794873

0.00019961 0.00121331 0.00730575 0.06778755 0.99767227

J = 11, E+

0.68675764 -0.56195170 -0.45548523 -0.07142606 0.00240047 -0.00003009

0.68368257 0.28816135 0.64874423 0.16905595 -0.00959980 0.00018511 0.24281049 0.73025031 -0.46669169 -0.43290297 0.05068399 -0.00160191

0.04437111 0.25835468 -0.38600571 0.84700758 -0.25428654 0.01414846

0.00404218 0.03402887 -0.06961631 0.24733038 0.95794484 -0.12307983

0.00015399 0.00164517 -0.00401934 0.01786829 0.12252862 0.99229460

284-758 0-68—3 27
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0 . r

100000 -CONTIN UED

J = 11 , 0 +

0.88926780 - 0.43257374 0.14776273 - 0.01576952 0.00049027 - 0.00000393

0.44301305 0.73444613 - 0.50688061 0.08593138 -0.00401949 0.00004592

0.11280748 0.51155681 0.78288684 - 0.33448673 0.02811904 - 0.00049928

0.01469283 0.10816286 0.32705468 0.92034881 - 0.18451718 0.00562474

0.00090048 0.00890033 0.03688529 0.18274286 0.98011095 - 0.06743159

0.00001759 0.00021224 0.00106482 0.00699093 0.06729677 0.99770792

J =n, 6 -

0.55694547 0.74355467 0.36911847 - 0.02625482 0.00065947 - 0.00000479

0.77410909 - 0.30482549 - 0.54764136 0.08893318 - 0.00404639 0.00004601

0.29696817 - 0.57422348 0.68473953 - 0.33528774 0.02812404 - 0.00049929

0.04862986 - 0.15576437 0.30613349 0.91955219 - 0.18451832 0.00562474

0.00344981 - 0.01458031 0.03540462 0.18264347 0.98011039 - 0.06743159

0.00007459 - 0.00037702 0.00103669 0.00698809 0.06729675 0.99770792

J = 11 , E0.83126330

0.53952763

0.13304121 0.01452262 0.00062427

- 0.53959639

0.72557772 0.42156900

0.06810694

0.00370555

0.13325621 - 0.42413563

0.86008013

0.24958055

0.01798507

- 0.00893332

0.05053035 - 0.25424713

0.95797257

0.12253093

0.00017994 - 0.00160124

0.01414836 - 0.12307981

0.99229461

J = 12 , E+

0.67106729 - 0.53906074 - 0.49473952 - 0.11952671 0.00532687 - 0.00009931 0.00000056

0.68918437 0.20774475 0.64877459 0.24622736 - 0.01817614 0.00051864 - 0.00000418

0.26735306 0.74865782 - 0.33088370 - 0.50229766 0.07894878 - 0.00373181 0.00004436

0.05635068 0.32070214 - 0.46017770 0.76042398 - 0.32131542 0.02688419 - 0.00048770

0.00635758 0.05387556 - 0.11391227 0.30564638 0.92622282 - 0.18094698 0.00554669

0.00034862 0.00382721 - 0.01003670 0.03342587 0.17952857 0.98083974 - 0.06700822

0.00000624 0.00008217 - 0.00024803 0.00094085 0.00674741 0.06689265 0.99773689

J = 12 , 0+

0.87584806 - 0.44699931 0.18000171 - 0.02607414 0.00114645 - 0.00001694

0.46360100 0.67599223 - 0.55889068 0.12523388 - 0.00814116 0.00016970

0.13243872 0.56671180 0.70404961 - 0.40420591 0.04719238 - 0.00152907

0.02053163 0.14764106 0.39466199 0.87226764 - 0.24694547 0.01376887

0.00164891 0.01629405 0.06153141 0.24313139 0.96023202 - 0.12160293

0.00005691 0.00069805 0.00324720 0.01704373 0.12115155 0.99248213

J = 12 , 0-

0.52030059 0.70854019 - 0.47427344 - 0.04816787 0.00163083 - 0.00002137

0.78006414 - 0.17081111 0.58708973 0.13259465 - 0.00823305 0.00017024

0.34091110 - 0.64505318 - 0.54828385 - 0.40600423 0.04721304 - 0.00152914

0.06728233 - 0.22768071 - 0.35549201 0.86953193 - 0.24695070 0.01376888

0.00631549 - 0.02933164 - 0.05822909 0.24265954 0.96022821 - 0.12160294

0.00024303 - 0.00138447 - 0.00315833 0.01701914 0.12115124 0.99248213

J =12, E0.79999113 -0.57230858 0.17946429 - 0.01641348 0.00049842 - 0.00000410

0.57610151 0.64931158 - 0.49023554 0.07846481 - 0.00372865 0.00004436

0.16614325 0.49004804 0.79269451 - 0.32118810 0.02688361 - 0.00048770

0.02270794 0.10315336 0.31295530 0.92635316 - 0.18094685 0.00554669

0.00141704 0.00834413 0.03398790 0.17954486 0.98083981 - 0.06700822

0.00002782 0.00019525 0.00095284 0.00674787 0.06689265 0.99773689

J = 13 , E+

0.65705131 - 0.51961546 - 0.51423461 - 0.18365475 0.01081611 - 0.00027326 0.00000279

0.69257349 0.14124019 0.62125491 0.33676680 - 0.03197067 0.00122886 - 0.00001788

0.28948500 0.74913690 - 0.18687921 - 0.55378924 0.11545755 - 0.00745112 0.00016066

0.06883247 0.37783636 - 0.53248581 0.64528879 - 0.38802507 0.04469217 - 0.00147302

0.00925383 0.07765526 - 0.17515417 0.35613512 0.88204011 - 0.24123999 0.01346589

0.00066435 0.00735971 - 0.02145215 0.05421134 0.23812988 0.96194893 - 0.12039411 0.00002096 0.00028263 - 0.00097306 0.00279769 0.01632149 0.12001260 0.99263373

28
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.

1 400000 -CONTI

N

T~

UED

J = 13, 0+

0.86321813 -0.45729706 0.21006972 -0.03998652 0.00237632 -0.00005284 0.00000034

0.48081551 0.61799516 -0.59752094 0.17218109 -0.01485320 0.00046145 -0.00000397

0.15141421 0.61012067 0.61579859 -0.46939591 0.07262081 -0.00350716 0.00004310

0.02715384 0.18976082 0.45909901 0.80940222 -0.31092942 0.02592900 -0.00047838

0.00270051 0.02649968 0.09383579 0.30376117 0.93084328 -0.17808764 0.00548267

0.00013397 0.00165807 0.00737951 0.03191651 0.17694829 0.98141250 -0.06665524

0.00000221 0.00003239 0.00016843 0.00087207 0.00655377 0.06655426 0.99776089

J =13, 0-

0.48901379 -0.66376502 -0.55980225 -0.08300603 0.00359679 -0.00006935 0.00000041

0.77994221 0.04949131 0.59462606 0.18823281 -0.01512615 0.00046379 -0.00000398

0.38044695 0.68071395 -0.40428154 -0.47238590 0.0?269343 -0.00350753 0.00004310

0.08780342 0.30174297 -0.40191997 0.80146160 -0.31094829 0.02592907 -0.00047838

0.01029565 0.05033798 -0.08946355 0.30195822 0.93082346 -0.17808765 0.00548267

0.00057345 0.00351977 -0.00736901 0.03177673 0.17694581 0.98141249 -0.06665524

0.00001031 0.00007427 -0.00017332 0.00086904 0.00655370 0.06655426 0.99776089

J =13, E0.77021862 0.59477465 0.22854912 -0.02775499 0.00116371 -0.00001743

0.60499594 -0.56841876 -0.54571254 0.11411614 -0.00743907 0.00016061

0.19915605 -0.54945516 0.71142560 -0.38769857 0.04468951 -0.00147301

0.03275324 -0.14488246 0.37506693 0.88254369 -0.24123933 0.01346589

0.00269682 -0.01583958 0.05615424 0.23821647 0.96194943 -0.12039411

0.00009394 -0.00066864 0.00287074 0.01632599 0.12001264 0.99263373

J = 14, E+

0.64440770 -0.50323727 0.51497699 0.25665140 0.02047648 -0.00066434 0.00001002 -0.00000005

0.69440469 0.08594279 -0.56945882 -0.42813677 -0.05314830 0.00260401 -0.00005576 0.00000036

0.30939340 0.73788519 0.04027435 0.57632429 0.16077462 -0.01344630 0.00042917 -0.00000385

0.08157071 0.42872105 0.58717893 -0.50616735 -0.45154707 0.06822104 -0.00333654 0.00004209

0.01270877 0.10456330 0.24998389 -0.39496403 0.82344151 -0.30286432 0.02517008 -0.00047073

0.00112958 0.01248309 0.04018572 -0.08024032 0.29670835 0.93425768- -0.17574631 0.00542921 0.00005116 0.00069741 0.00272095 -0.00622688 0.03033665 0.17479348 0.98187427 -0.06635644

0.00000078 0.00001249 0.00005585 -0.00014010 0.00081120 0.00639509 0.06626688 0.99778110

J = 14, 0 +

0.85133536 -0.46451494 -0.23692698 -0.05744001 0.00449532 — 0.Q0013762 0.00000160

0.49525421 0.56209097 0.62252348 0.22496989 -0.02507872 0.00106149 -0.00001652

0.16955724 0.64230377 -0.52050454 -0.52603360 0.10493905 -0.00690400 0.00015342

0.03442363 0.23270686 -0.51703409 0.73153746 -0.37464734 0.04276159 -0.00142833

0.00408194 0.03952461 -0.13370412 0.36261852 0.89043171 -0.23666180 0.01321843

0.00026491 0.00328386 -0.01427422 0.05226728 0.23422459 0.96329604 -0.11938641

0.00000770 0.00011429 -0.00058902 0.00259493 0.01575557 0.11905702 0.99275883

II © 1

0.46192319 -0.61951583 0.62008282 -0.13517102 0.00729045 -0.00018854 0.00000201 0.77568630 -0.05224352 -0.57393480 0.25595511 -0.02580806 0.00106986 -0.00001657

0.41555597 0.68540918 0.25874018 -0.52865304 0.10516304 -0.00690552 0.00015343

0.10959552 0.37111009 0.44871609 0.71182027 -0.37470158 0.04276192 -0.00142833

0.01544343 0.07687632 0.13256179 0.35690006 0.89034694 -0.23666189 0.01321843

0.00113248 0.00722921 0.01518122 0.05166609 0.23421007 0.96329597 -0.11938641

0.00003603 0.00027415 0.00065538 0.00257153 0.01575482 0.11905701 0.99275883

II

t—

*

£*• i

0.74217680 0.60847570 0.27749171 -0.04385663 0.00242045 -0.00005388 0.00000035

0.62743502 -0.48595799 -0.58753477 0.15745824 -0.01340660 0.00042891 -0.00000385

0.23130233 -0.59686111 0.61827953 -0.45091312 0.06821074 -0.00333650 0.00004209

0.04446599 -0.19142217 0.43386664 0.82509461 -0.30286168 0.02517007 -0.00047073

0.00456506 -0.02671673 0.08514331 0.29708085 0.93426052 -0.17574631 0.00542921

0.00022961 -0.00165536 0.00648094 0.03036540 0.17479384 0.98187427 -0.06635644

0.00000381 -0.00003194 0.00014397 0.00081182 0.00639510 0.06626688 0.99778110

29
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

1 1 KAPPA = -0.400000 -CONTINUED

J = 15 , E+

0.63290848 - 0.48929044 0.50209061 0.32647683 0.03657118 - 0.00147220 0.00002988 -0.00000026

0.69507268 0.03947406 - 0.50324826 - 0.50488306 - 0.08440486 0.00508450 - 0.00014603 0.00000170

0.32728274 0.71906663 - 0.09537801 0.56569309 0.21497533 - 0.02254366 0.00097206 - 0.00001569

0.09436830 0.47299054 0.61066219 - 0.35585081 - 0.50813408 0.09794904 -0.00649436 0.00014769

0.01668267 0.13372910 0.32888486 - 0.42320139 0.74844999 - 0.36427185 0.04123411 -0.00139189

0.00176846 0.01934636 0.06661998 - 0.11235245 0.35286362 0.89645569 - 0.23290861 0.01301251 0.00010470 0.00143048 0.00611622 - 0.01203203 0.04927389 0.23088779 0.96437985 - 0.11853346

0.00000282 0.00004551 0.00022677 - 0.00049441 0.00238632 0.01529005 0.11824419 0.99286380

'j = 15 , 0+

0.84014695 - 0.46947491 - 0.26004178 - 0.07786023 0.00789690 - 0.00031669 0.00000548 - 0.00000003

0.50739984 0.50924006 0.63466296 0.28077354 - 0.03980384 0.00218284 - 0.00005015 0.00000034

0.18677034 0.66450498 - 0.42111356 - 0.57029408 0.14431435 - 0.01229681 0.00040342 - 0.00000374

0.04220670 0.27499528 - 0.56497538 0.63976026 - 0.43576864 0.06481713 -0.00320150 0.00004125

0.00580661 0.05518518 - 0.18009750 0.41757106 0.83766589 - 0.29636632 0.02455240 - 0.00046433

0.00046639 0.00575427 - 0.02469860 0.07858952 0.29171615 0.93693584 - 0.17379377 0.00538389

0.00001943 0.00029040 - 0.00150102 0.00579330 0.02914302 0.17297882 0.98225448 - 0.06610023

0.00000028 0.00000480 - 0.00002843 0.00012536 0.00076496 0.00626303 0.06601982 0.99779835

J = 15 , 0-

0.43818293 - 0.58010859 0.65444267 - 0.20732333 0.01383361 - 0.00045464 0.00000708 - 0.00000004

0.76861562 - 0.13478352 - 0.52778443 0.33282448 - 0.04159334 0.00220891 -0.00005036 0.00000035

0.44642258 0.66813379 0.11082174 - 0.56645055 0.14493076 - 0.01230230 0.00040345 - 0.00000374

0.13211926 0.43254609 0.49364352 0.59795821 -0.43588845 0.06481853 -0.00320151 0.00004125 0.02175260 0.10789842 0.19065275 0.40240870 0.83735732 - 0.29636668 0.02455241 - 0.00046433

0.00198589 0.01288289 0.02882791 0.07654834 0.29164720 0.93693545 - 0.17379377 0.00538389

0.00009106 0.00071420 0.00186425 0.00567726 0.02913774 0.17297877 0.98225448 - 0.06610023

0.00000140 0.00001266 0.00003688 0.00012335 0.00076485 0.00626303 0.06601982 0.99779835

J = 15 , E0.71591508 -0.61518989 - 0.32359720 - 0.06534914 0.00461690 - 0.00013959 0.00000166

0.64453539 0.40484231 0.61404912 0.20764542 - 0.02242655 0.00097103 - 0.00001568

0.26205240 0.63095298 - 0.51587805 - 0.50741241 0.09791407 - 0.00649417 0.00014769

0.05759916 0.24048267 - 0.48706081 0.75314817 - 0.36426343 0.04123407 - 0.00139189

0.00709840 0.04121753 - 0.12129502 0.35421151 0.89646903 - 0.23290860 0.01301251

0.00046921 0.00340992 - 0.01254609 0.04941492 0.23089007 0.96437986 - 0.11853346

0.00001374 0.00011759 -0.00050395 0.00239181 0.01529017 0.11824419 0.99286380 KAPPA = -0. 500000

J = 2 , E+

0.99265436 - 0.12098483

0.12098483 0.99265436

J = 3 , E+

0.96824584 - 0.25000000

0.25000000 0.96824584

J = 3 , 0+

0.99806959 - 0.06210548

0.06210548 0.99806959

J = 3, 0-

0.99704859 - 0.07677314

0.07677314 0.99704859

7 = 4, E +

0.92696856 - 0.37506157 0.00762242

0.37475870 0.92492291 - 0.06382412

0.01688782 0.06201952 0.99793205

II O +

0.99304376 - 0.11774586

0.11774586 0.99304376

II ** O 1

0.98622872 - 0.16538716

0.16538716 0.98622872

30
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.500000 -CONTINUED

J = 4, E -

0.99803726

0.06262291

J = 5 , E +

0.88015834

0.47299531 0.03995916

J = 5 , 0+

0.98460403

0.17468516

0.00632394

J = 5 , O0.96001546

0.27969107 0.01196754

J =5, E0.99265436

0.12098483

J = 6 , E+

0.83719374

0.54262081 0.06830157

0.00204917

J =6, 0+

0.97328863 0.22908056

0.01520989

J = 6, O0.91234522

0.40803175

0.03370898

J = 6, E -

0.98253527

0.18595752 0.00665196

J = 7 , E+

0.80090191 0.59052406

0.09903706

0.00539770

J =1,0+

0.96007030 0.27842719

0.02725486

0.00069979

J = 1,0-

0.84659891 0.52794534

0.06738010

0.00198261

J = 1, E0.96696068

0.25436442

0.01690507

- 0.06262291 0.99803726

- 0.47413056 0.87196874

0.12194564

- 0.17474805 0.98279082

, 0.05987755

-0.27990084

0.95820358

0.05917278

- 0.12098483 0.99265436

- 0.54453819

0.81542377 0.19622392

0.00764206

- 0.22930221 0.96666759

0.11390464

-0.40915854

0.90571105

0.11080066

- 0.18602763

0.98083062

0.05800869

- 0.59105564

0.75310220

0.28812561 0.02177016

- 0.27882194 0.94433260

0.17452189

0.00603186

- 0.53125789 0.83058920

0.16688673

0.00595405

- 0.25467289

0.96092421 0.10847297

0.02283658 - 0.12627733 0.99173208

0.00424461 - 0.06006078

0.99818570

0.00508276 -0.06015650

0.99817602

0.05083849 - 0.20156390

0.97644207

0.05786477

0.01139043 - 0.11434975

0,99337525

0.01467959 - 0.11488077

0.99327082

0.00426271 - 0.05823304

0.99829392

0.09594880 - 0.28979726 0.94617174

0.10756591

0.02287488 - 0.17520756

0.98262496 0.05680884

0.03217496 - 0.17714033

0.98201894 0.05678799

0.01134717 - 0.10919436

0.99395565

- 0.00049676

0.00432739 - 0.05824053

0.99829308

- 0.00178730

0.01166028 - 0.10924442 0.99394492

- 0.00029000

0.00406907 - 0.05698663

0.99836661

- 0.00034305

0.00407402 - 0.05698721 0.99836654

31
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.500000 -CONTINUED

J =8, E+

0.77076649

0.62359411 0.13015815 0.01040248

0.00023322

J = 8, 0 +

0.94591189

0.32170837 0.04184102

0.00193609

J = 8, 0-

0.77517835 0.62210796

0.10974873

0.00595172

J =8,E0.94611929

0.32222069

0.03211613

0.00081681

J = 9, E+

0.74551091 0.64667633

0.16041741 0.01699986

0.00068323

J = 9, 0+

0.93154004

0.35892553

0.05822501 0.00393222 0.00007825

J =9,0-

0.70884161 0.68771277

0.15631841 0.01261750 0.00028034

J =9, E0.92104461 0.38594852

0.05210347

0.00240855

J = 10, E+

0.72398643

0.66291651 0.18909727 0.02500854

0.00146187

0.00002615

J = 10, 0+

0.91741588 0.39060270

0.07570875

0.00676427 0.00024030

-0.61668838

0.67883040

0.39581083

0.04708278

0.00131324

-0.32204064

0.91549557

0.24065977 0.01551014

-0.62877871

0.74295186

0.22894396

0.01563768

-0.32300647

0.93207163

0.16394979 0.00545548

0.62236582 -0.58919589

-0.50802529

-0.08601910

-0.00447319

-0.35857371

0.88000844

0.30999332

0.03022615 0.00074850

0.69741501 -0.65006200

-0.29999872

-0.03212109

-0.00083658

-0.38739735

0.89417178

0.22402709 0.01385593

0.61128193 -0.48936754

-0.60661516

-0.13695344

-0.01074991

-0.00023214

-0.38854711

0.83818062

0.37934637 0.05074889

0.00229572

0.15997572 -0.38696813

0.89381456

0.16040577

0.00538062

0.03923772 -0.24137033

0.96393796

0.10499699

0.06110998 -0.24676238

0.96144845

0.10483693

0.02291332 -0.16553225

0.98434882

0.05595939

0.23825163 -0.48250237

0.81507716

0.21423030

0.01349907

0.06043614 -0.31034786

0.93559667

0.15705092

0.00505561

0.10557635 -0.32252739

0.92756954

0.15626607 0.00503788

0.03999013 -0.22671730

0.96771743

0.10258186

0.31896772 -0.56219613

0.71407972 0.26759816

0.02600153 0.00063529

0.08576538 -0.37889552

0.89651889 0.21254794

0.01263885

-0.00471579

0.02398424 -0.16574918

0.98427565

0.05595681

-0.00096175

0.01058062 -0.10562105

0.99434970

-0.00119434

0.01060911 -0.10562557

0.99434866

-0.00029333

0.00392119 -0.05609297

0.99841781

-0.01050776

0.04299330 -0.22743330

0.96736598

0.10255884

-0.00234908

0.02101765 -0.15861374

0.98556296

0.05531795

-0.00308332

0.02113184 -0.15863645

0.98555485

0.05531765

-0.00095804

0.00999163 -0.10305375

0.99462514

-0.02091595

0.07064606 -0.29320475

0.9409562

1

0.15225391 0.00477316

-0.00485166

0.03633394 -0.21570099

0.97055432 0.10076560

0.00003327 -0.00029732

0.00392157 -0.05609301

0.99841780

0.00013683 -0.00097868

0.00999413 -0.10305414

0.99462505

0.00001993 -0.00028087

0.00381348 -0.05542183

0.99845571

0.00002344 -0.00028117

0.00381350 -0.05542183

0.99845571

0.00040917 -0.00239940

0.01952736 -0.15361323

0.98641322

0.05481515

0.00007684 -0.00089513

0.00956469 -0.10112608

0.99482723

-0.00000226

0.00002057 -0.00027071

0.00373220 -0.05489935

0.99848488

32
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.1r~

II © 0 1

iOOOOO -CONTINlJED

— 0.65168783 0.73933308 0.16924416 -0.00678071 0.00009369

0.73029589 -0.55147938 -0.40148516 0.03670528 -0.00089691

0.20366783 -0.38185953 0.87524113 -0.21578738 0.00956490

0.02212514 -0.05858551 0.20967185 0.97050989 -0.10112611

0.00088791 -0.00285072 0.01252052 0.10076266 0.99482723

J =10, £ -

0.89321593 -0.44514108 0.06331921 -0.00232365 0.00002031 0.44310768 0.84759907 -0.29129104 0.01951584 -0.00027069

0.07611827 0.28757545 0.94228239 -0.15361097 0.00373220

0.00518533 0.02692932 0.15238533 0.98641406 -0.05489935

0.00010254 0.00064456 0.00477617 0.05481518 0.99848488

J = 11, E +

0.70532776 -0.59060762 -0.39016440 -0.03828928 0.00102553 -0.00001034

0.67435380 0.39064946 0.61701121 0.10914120 -0.00502939 0.00007843

0.21583282 0.67842866 -0.60124325 -0.36131156 0.03332472 -0.00084482

0.03418941 0.19461310 -0.32188169 0.90230188 -0.20764116 0.00924478

0.00263887 0.02086262 -0.04431246 0.20442330 0.97256361 -0.09962600

0.00008399 0.00081982 -0.00200940 0.01176915 0.09933930 0.99498165

J = 11, 0+

0.90379389 -0.41241917 0.11396055 -0.00894281 0.00021611 -0.00000138

0.41745122 0.79101422 -0.44354624 0.05738624 -0.00212855 0.00001953

0.09371073 0.44525310 0.84647343 -0.27588242 0.01842625 -0.00026290

0.01044471 0.07700567 0.27050678 0.94779677 -0.14984970 0.00366874

0.00053815 0.00516933 0.02425317 0.14891655 0.98703619 -0.05448107

0.00000874 0.00010031 0.00056111 0.00456907 0.05441061 0.99850803

J = 11, o0.60357923 0.75608107 0.25269235 -0.01341789 0.00027431 -0.00000161

0.75641610 -0.44324036 -0.47744552 0.05842849 -0.00213600 0.00001955

0.24968522 -0.47136629 0.79929582 -0.27614792 0.01842737 -0.00026290

0.03435130 -0.09818551 0.26221002 0.94760595 -0.14984992 0.00366874

0.00202088 -0.00726727 0.02375193 0.14889755 0.98703611 -0.05448107

0.00003596 -0.00014997 0.00055275 0.00456863 0.05441061 0.99850803

J =11, E0.86409923 -0.49460481 0.09314260 -0.00480040 0.00007699

0.49255638 0.79295345 -0.35707788 0.03328211 -0.00084467

0.10311385 0.35286257 0.90645423 -0.20763143 0.00924477

0.00938882 0.04555135 0.20499147 0.97256881 -0.09962600

0.00033330 0.00199384 0.01179292 0.09933965 0.99498165

J = 12, E+

0.68891107 -0.56751537 -0.44613437 -0.06547337 0.00228166 -0.00003418 0.00000016

0.68234025 0.30183672 0.64607293 0.16064103 -0.00951620 0.00021977 -0.00000143

0.24048656 0.72200493 -0.48386586 -0.42897983 0.05216644 -0.00197260 0.00001886

0.04428707 0.25358517 -0.37999742 0.84801599 -0.26437424 0.01761392 -0.00025680

0.00426120 0.03493178 -0.07075283 0.25740557 0.95178727 -0.14692152 0.00361782

0.00019626 0.00202750 -0.00486925 0.02224863 0.14618729 0.98750971 -0.05413863

0.00000292 0.00003547 -0.00009525 0.00050010 0.00440859 0.05407818 0.99852684

J = 12, 0 +

0.89079324 -0.43089889 0.14347301 -0.01512562 0.00051043 -0.00000597

0.44019105 0.74013259 -0.50122220 0.08481238 -0.00433033 0.00007231

0.11178141 0.50468865 0.78602095 -0.33763959 0.03105168 -0.00080651

0.01493732 0.10827370 0.32970375 0.91577759 -0.20154302 0.00899650

0.00101446 0.00979598 0.04068602 0.19950971 0.97404105 -0.09842543

0.00002925 0.00034272 0.00171781 0.01117422 0.09818974 0.99510343

J =12, 0-

0.56302429 0.74845783 0.34958465 -0.02458946 0.00067732 -0.00000720

0.77113903 -0.32471136 -0.54059783 0.08741933 -0.00435580 0.00007243

0.29314233 -0.55778204 0.69822862 -0.33831703 0.03105631 -0.00080653

0.04900080 -0.15169534 0.31061790 0.91509727 -0.20154406 0.00899650

0.00383710 -0.01551721 0.03917991 0.19941668 0.97404048 -0.09842543

0.00012206 -0.00058639 0.00167484 0.01117033 0.09818970 0.99510343

33
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

J

KAPPA = 12,

=E-

-O.i —00000 -CONTINlJED

— 0.83486083 - 0.53505675 0.12900479 - 0.00891036 0.00021416 - 0.00000141

0.53418647 0.73106112 - 0.42128768 0.05203138 - 0.00197189 0.00001886

0.13199265 0.41749817 0.85911990 - 0.26434051 0.01761382 - 0.00025680

0.01515076 0.07027243 0.25939676 0.95181224 -0.14692150 0.00361782

0.00078476 0.00457948 0.02237250 0.14618978 0.98750972 - 0.05413863

0.00001269 0.00008649 0.00050225 0.00440865 0.05407818 0.99852684

J = 13 , E+

0.67428620 - 0.54596994 - 0.48597046 - 0.10519531 0.00464753 - 0.00009427 0.00000077

0.68779729 0.22579753 0.65149360 0.22633261 - 0.01672520 0.00052086 -0.00000612

0.26306141 0.74284391 -0.36239436 - 0.49167231 0.07677679 - 0.00395067 0.00006840

0.05505633 0.31035795 -0.44297141 0.77423850 -0.32266580 0.02939365 - 0.00077693

0.00635304 0.05269079 - 0.10829875 0.30850473 0.92275312 - 0.19679636 0.00879828

0.00038511 0.00410182 - 0.01032967 0.03664914 0.19519996 0.97515898 -0.09744278

0.00001015 0.00012884 - 0.00037049 0.00150071 0.01069747 0.09724336 0.99520193

J = 13 , 0+

0.87845317 - 0.44485115 0.17279207 - 0.02385853 0.00107085 - 0.00001874 0.00000010

0.45947374 0.68742929 - 0.54966699 0.11886056 - 0.00794912 0.00019713 - 0.00000136

0.12959190 0.55562998 0.71625185 - 0.39893820 0.04805644 - 0.00185432 0.00001832

0.02017252 0.14335535 0.38865863 0.87314502 - 0.25556985 0.01698651 - 0.00025190

0.00170645 0.01650115 0.06262076 0.25164872 0.95475702 - 0.14457732 0.00357605

0.00007106 0.00084658 0.00393515 0.02101732 0.14398263 0.98788203 - 0.05385311 0.00000098 0.00001351 0.00007210 0.00046003 0.00428062 0.05380026 0.99854243

J = 13 , 0 -

0.52847062 0.72074482 - 0.44658829 - 0.04245446 0.00149212 - 0.00002333 0.00000011

0.77796637 - 0.20282923 0.58137502 0.12476891 - 0.00802474 0.00019766 -0.00000137

0.33336419 - 0.62624773 - 0.57798700 - 0.40037321 0.04807276 - 0.00185438 0.00001832

0.06567789 - 0.21534772 - 0.35348927 0.87106286 - 0.25557386 0.01698652 - 0.00025190

0.00646364 - 0.02870099 - 0.05936138 0.25127705 0.95475398 - 0.14457733 0.00357605

0.00029899 -0.00161398 - 0.00381734 0.02099422 0.14398233 0.98788203 - 0.05385311 0.00000443 - 0.00002745 - 0.00007101 0.00045962 0.00428061 0.05380026 0.99854243

J = 13 , E0.80629151 - 0.56645374 0.16967793 - 0.01527456 0.00050275 - 0.00000602

0.56852226 0.66315573 -0.48078564 0.07639699 -0.00394798 ' 0.00006839

0.16176520 0.47859164 0.79991685 - 0.32256865 0.02939317 - 0.00077693

0.02249606 0.10111822 0.31433417 0.92285258 - 0.19679626 0.00879828

0.00154556 0.00892740 0.03713942 0.19521352 0.97515904 - 0.09744278

0.00004454 0.00030478 0.00151602 0.01069804 0.09724337 0.99520193

J = 14, E+

0.66112257 - 0.52718608 - 0.50972778 - 0.15840225 0.00883437 - 0.00022977 0.00000278 - 0.00000001 0.69136942 0.16172861 0.63437536 0.30437954 - 0.02778433 0.00110416 - 0.00001909 0.00000010

0.28364179 0.74740306 - 0.23469109 - 0.54239231 0.10777481 - 0.00715758 0.00018309 - 0.00000132

0.06627684 0.36307849 -0.50686738 0.67799136 - 0.38099505 0.04510228 - 0.00176396 0.00001789

0.00891806 0.07367831 - 0.15922367 0.35404969 0.88411503 - 0.24871132 0.01648779 -0.00024787

0.00067280 0.00726387 - 0.01994295 0.05511467 0.24559837 0.95698953 - 0.14265821 0.00354117

0.00002556 0.00033330 -0.00106907 0.00336310 0.01998035 0.14216031 0.98818241 -0.05361141

0.00000033 0.00000488 - 0.00001749 0.00006010 0.00042819 0.00417612 0.05356451 0.99855556

J = 14 , 0 +

0.86676907 - 0.45517187 0.20067059 - 0.03545460 0.00205566 - 0.00004920 0.00000046

0.47585890 0.63466199 - 0.58756581 0.15920269 -0.01353424 0.00045505 -0.00000568

0.14691322 0.59721401 0.63855435 - 0.45726271 0.06998339 - 0.00366221 0.00006533

0.02606107 0.18084966 0.44552525 0.81891869 - 0.31097020 0.02811779 - 0.00075335

0.00264367 0.02546582 0.09051901 0.30410616 0.92808917 - 0.19299266 0.00863636

0.00014469 0.00174251 0.00771838 0.03461239 0.19171978 0.97603624 - 0.09662364

0.00000351 0.00004971 0.00025572 0.00137220 0.01031910 0.09645129 0.99528323

J = 14, 0-

0.49865373 0.68186924 - 0.53058468 -0.06978217 0.00302230 - 0.00006337 0.00000055

0.77927525 - 0.08843789 0.59610110 0.17141590 - 0.01373628 0.00045692 -0.00000569

0.37003773 - 0.66730040 - 0.44894004 - 0.45969216 0.07003428 - 0.00366248 0.00006533

0.08394340 - 0.28234282 - 0.39269975 0.81333960 - 0.31098304 0.02811784 -0.00075335

0.00998794 - 0.04704243 - 0.08558939 0.30284696 0.92807579 - 0.19299267 0.00863636

0.00061117 -0.00357543 - 0.00758337 0.03450641 0.19171796 0.97603624 -0.09662364

0.00001610 - 0.00010970 - 0.00025760 0.00136887 0.01031903 0.09645129 0.99528323

34
TABLE I.- TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.

1500000 -CONTINUED

*-» II i—H to 1

0.77885814 -0.58930439 0.21329627 -0.02457488 0.00105307 -0.00001867 0.00000010

0.59638144 0.59099574 -0.53253534 0.10680908 -0.00714871 0.00018305 -0.00000132

0.19162036 0.53320268 0.72935599 -0.38076137 0.04510042 -0.00176396 0.00001789

0.03136085 0.13746642 0.36841485 0.88445519 -0.24871086 0.01648779 -0.00024787

0.00270090 0.01554467 0.05665129 0.24565861 0.95698989 -0.14265821 0.00354117

0.00011287 0.00078100 0.00343273 0.01998407 0.14216034 0.98818241 -0.05361141

0.00000154 0.00001221 0.00006106 0.00042826 0.00417612 0.05356451 0.99855556

J = 15, E+

0.64917189 -0.51109884 -0.51758221 0.22183387 0.01587321 -0.00051076 0.00000832 -0.00000006

0.69351774 0.10769054 0.59599205 -0.38765598 -0.04413109 0.00215703 -0.00005002 0.00000047

0.30235517 0.74079706 -0.10236118 0.57269080 0.14561212 -0.01205959 0.00041581 -0.00000539

0.07775947 0.41084140 -0.56179252 -0.56031043 -0.43742564 0.06520064 -0.00344424 0.00006288

0.01194317 0.09732722 -0.22262805 -0.39055673 0.83452889 -0.30184955 0.02710758 -0.00073412

0.00108019 0.01169092 "- 0.03526490 -0.07754837 0.29622204 0.93205791 -0.18987645 0.00850162

0.00005388 0.00071296 -0.00257184 -0.00645689 0.03269326 0.18882061 0.97674279 -0.09593031

0.00000121 0.00001862 -0.00007623 -0.00020930 0.00126475 0.01001039 0.09577885 0.99535147

J = 15, 0+

0.85571400 -0.46267785 -0.22621160 -0.04997537 0.00367629 -0.00011426 0.00000157 -0.00000001

0.48981523 0.58319330 0.61445328 0.20479498 -0.02172367 0.00094002 -0.00001729 0.00000010

0.16359448 0.62954125 -0.55457149 -0.50977007 0.09724535 -0.00655085 0.00017214 -0.00000128

0.03250478 0.21939512 -0.49805031 0.75273259 -0.36648486 0.04283393 -0.00169250 0.00001754

0.00384694 0.03671961 -0.12444052 0.35543654 0.89297781 -0.24320409 0.01608189 -0.00024450

0.00026182 0.00316796 -0.01363632 0.05239300 0.24076948 0.95873837 -0.14105810 0.00351160

0.00000915 0.00013154 -0.00066594 0.00307245 0.01916453 0.14063155 0.98842986 -0.05340415

0.00000011 0.00000178 -0.00001016 0.00005320 0.00040344 0.00408924 0.05336204 0.99856678

J =15, 0-

0.47261290 -0.64070529 0.59502240 -0.10976898 0.00573389 -0.00015274 0.00000193 -0.00000001

0.77669849 -0.01117805 -0.58671457 0.22778474 -0.02221999 0.00094588 -0.00001733 0.00000010

0.40309217 0.68129518 0.31793322 -0.51258615 0.09738853 -0.00655184 0.00017215 -0.00000128

0.10335869 0.34678172 0.43127839 0.73951628 -0.36651932 0.04283413 -0.00169250 0.00001754

0.01445527 0.07003483 0.12015230 0.35174322 0.89292741 -0.24320414 0.01608189 -0.00024450

0.00110655 0.00679236 0.01395319 0.05199391 0.24076062 0.95873833 -0.14105810 0.00351160

0.00004217 0.00030581 0.00070742 0.00305401 0.01916399 0.14063155 0.98842986 -0.05340415

0.00000054 0.00000440 0.00001108 0.00005294 0.00040343 0.00408924 0.05336204 0.99856678

J =15, E0.75279484 0.60455818 0.25768257 -0.03748227 0.00202675 -0.00004858 0.00000046

0.61865675 -0.51673722 -0.57406161 0.14336931 -0.01203345 0.00041562 -0.00000539

0.22093685 -0.57892416 0.64871420 -0.43696849 0.06519425 -0.00344421 0.00006288

0.04161614 -0.17809969 0.42018607 0.83555055 -0.30184795 0.02710758 -0.00073412

0.00432555 -0.02483092 0.08137461 0.29644974 0.93205960 0.18987645 0.00850162 0.00023860 -0.00167114 0.00668115 0.03271225 0.18882083 0.97674280 -0.09593031

0.00000579 -0.00004683 0.00021457 0.00126534 0.01001040 0.09577885 0.99535147

35
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.600000 J = 2, E +

0.99548493

0.09491969

J = 3, E +

0.97942806 0.20179364

J =3, 0 +

0.99877555 0.04947116

J =3, 0-

0.99829437

0.05838113

J = 4, E +

0.94869586

0.31598944

0.01126203

J =4, 0 +

0.99543255

0.09546742

J =4,0-

0.99215674

0.12500000

-0.09491969

0.99548493

-0.20179364

0.97942806

-0.04947116

0.99877555

-0.05838113

0.99829437

-0.31615671

0.94747649

0.04830362

-0.09546742

0.99543255

-0.12500000

0.99215674

0.00459292 -0.04938601

0.99876921

J = 4, E -

0.99880759

0.04882006

J = 5, E +

0.90862973

0.41664765 0.02822688

J = 5, 0 +

0.98948302

0.14458909

0.00416470

J =5,0-

0.97713417

0.21250857 0.00699420

J =5, E0.99548493 0.09491969

J = 6, E +

0.86762551 0.49462586

0.05069284

0.00120941

J = 6, 0+

0.98099439

0.19376049

0.01033821

J =5,0-

0.94785924

0.31804285

0.02028807

-0.04882006

0.99880759

-0.41737555

0.90382945 0.09428669

-0.14462541

0.98839068 0.04655494

-0.21260237

0.97604251 0.04627375

-0.09491969

0.99548493

-0.49626619

0.85514204

0.14977397

0.00443982

-0.19390628

0.97699708

0.08875284

-0.31857229

0.94386442 0.08735934

0.01377204 -0.09745290

0.99514484

0.00261499 -0.04666764

0.99890705

0.00300693 -0.04670264

0.99890431

0.03075361 -0.15514696

0.98638331 0.04507320

0.00709639 -0.08907068

0.99600003

0.00863483 -0.08926757

0.99597025

-0.00023238

0.00260076 -0.04523218

0.99897309

36
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

I I KAPPA = -0.600000 -CONTINUED

J = 6, E0.98906139 -0.14748197 0.00257728

0.14744682 0.98803526 -0.04523005

0.00412417 0.04511531 0.99897327 = 7, E +

0.83065088 -0.55369954 0.05861087 -0.00083678

0.55150790 0.80372742 -0.22318662 0.00700048

0.07646549 0.21744999 0.96935471 -0.08497046

0.00334374 0.01243229 0.08428489 0.99635853 = 7, 0 +

0.97047030 -0.24078663 0.01446268 -0.00013846

0.24046120 0.96092094 -0.13712528 0.00245367

0.01912193 0.13652615 0.98946249 -0.04425989

0.00039107 0.00365511 0.04417539 0.99901703

II j-0 © 1

0.90161874 -0.43212215 0.01881673 -0.00015772

0.43040918 0.89204063 -0.13786015 0.00245506

0.04278581 0.13236680 0.98928735 -0.04426002

0.00098018 0.00360393 0.04417072 0.99901702

II 1

0.97875603 -0.20491270 0.00688685

0.20474936 0.97512059 -0.08495607

0.01069306 0.08456134 0.99636090 = 8, E+

0.79895306 -0.59299403 0.10013592 -0.00221025

0.59234506 0.74718874 -0.30104742 0.01437851 0.10371236 0.29891123 0.93977807 -0.12925718

0.00671263 0.02681075 0.12708150 0.99054959

0.00011991 0.00057279 0.00327493 0.04350255 = 8, 0 +

0.95859641 -0.28364322 0.02528310 -0.00046269

0.28315418 0.93996035 -0.19041375 0.00639146

0.03025508 0.18955591 0.97795870 -0.08215818

0.00112329 0.00946681 0.08185444 0.99659870

II 00 © 1

0.84241343 -0.53765667 0.03556151 -0.00054719

0.53368393 0.82344665 -0.19255164 0.00639948

0.07423692 0.18103498 0.97722315 -0.08215919

0.00315564 0.00934163 0.08181785 0.99659852

II CO faj 1

0.96421265 -0.26476072 0.01398983 -0.00013761

0.26430975 0.95574256 -0.12919338 0.00236383

0.02083637 0.12824613 0.99056592 -0.04356525

0.00041604 0.00329457 0.04350300 0.99904778 = 9, E +

0.77206439 -0.61599995 0.15632116 -0.00493187

0.62176097 0.68122889 -0.38558852 0.02572496

0.13115119 0.39236945 0.89280178 -0.17808475

0.01136225 0.05013451 0.17239977 0.98041369

0.00036623 0.00199971 0,00827588 0.07992944 = 9, 0+

0.94602152 -0.32163940 0.03987575 -0.00114081

0.32119120 0.91394183 -0.24775872 0.01273311

0.04328857 0.24679858 0.96015956 -0.12371297

0.00236377 0.01867488 0.12292209 0.99130372

0.00003750 0.00035933 0.00305374 0.04299535

0.00001208 -0.00013874

0.00236391 -0.04356526

0.99904778

0.00004974 -0.00045654

0.00603236 -0.08015446

0.99676410

0.00000738 -0.00013145

0.00229884 -0.04304363

0.99907054

37
TABLE I.- TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -o.e

,

>00000 -CONTINlJED

J = 9, 0-

0.77914672 -0.62383373 0.06131797 -0.00140775 0.00000837

0.61670139 0.74534939 -0.25292433 0.01276527 -0.00013152

0.11206565 0.23438008 0.95770340 -0.12371814 0.00229884

0.00714583 0.01875139 0.12273662 0.99130232 -0.04304363

0.00012466 0.00037192 0.00305048 0.04299531 0.99907054

II VO C*3 1

0.94563148 -0.32430556 0.02463337 -0.00045072

0.32337045 0.92938621 -0.17786636 0.00603181 0.03480002 0.17605919 0.98049344 -0.08015439

0.00126919 0.00838700 0.07993347 0.99676411

J = 10, E+

0.74909833 0.62331314 0.22413305 -0.00983757 0.00014892 -0.00000064

0.64312336 -0.60336525 -0.46964108 0.04217493 -0.00111889 0.00000745

0.15794374 -0.49025137 0.82536152 -0.23096804 0.01181027 -0.00012666

0.01723779 -0.08401729 0.21845961 0.96465919 -0.11977870 0.00224983

0.00081356 -0.00507936 0.01597828 0.11917462 0.99181535 -0.04263754

0.00001161 -0.00008483 0.00029823 0.00288405 0.04259840 0.99908807

J = 10, 0+

0.93324883 -0.35447474 0.05821165 -0.00238373 . 0.00002862

0.35453871 0.88278503 -0.30741473 0.02211118 -0.00041956

0.05771700 0.30662354 0.93491695 -0.16896069 0.00577355

0.00420248 0.03192157 0.16727027 0.98224137 -0.07865046

0.00011971 0.00112437 0.00765128 0.07848303 0.99688545

V— II © 0 1

0.71940220 0.68751393 0.09887134 -0.00308550 0.00003337

0.67737207 -0.66294730 -0.31807898 0.02221577 -0.00041996

0.15313969 -0.29446219 0.92803681 -0.16898104 0.00577359

0.01325156 -0.03340610 0.16655242 0.98223359 -0.07865047

0.00041984 -0.00123249 0.00762820 0.07848263 0.99688545

J =10, E0.92371472 -0.38103785 0.03949778 -0.00109752 0.00000739

0.37946646 0.89599359 -0.23035028 0.01180775 -0.00012665

0.05242418 0.22745911 0.96496744 -0.11977830 0.00224983

0.00283374 0.01636787 0.11919814 0.99181546 -0.04263754

0.00004415 0.00030272 0.00288446 0.04259840 0.99908807

J = 11, E +

0.72923100 0.61671429 0.29590325 -0.01807659 0.00037385 -0.00000292

0.65873717 -0.51629021 -0.54339270 0.06502794 -0.00234435 0.00002841 0.18357189 -0.58026919 0.73941793 -0.28712619 0.02021276 -0.00039576

0.02421839 -0.12760511 0.26400645 0.94179769 -0.16253295 0.00558027

0.00151962 -0.01060249 0.02695377 0.16115001 0.98345629 -0.07748017

0.00003878 -0.00032357 0.00092689 0.00713648 0.07734713 0.99697820

J = 11, 0+

0.92061903 -0.38218095 0.07986515 -0.00445744 0.00008106 -0.00000040

0.38350744 0.84666959 -0.36719988 0.03515538 -0.00099989 0.00000709

0.07306040 0.36690950 0.90145356 -0.21747834 0.01114576 -0.00012301

0.00668899 0.04958819 0.21436038 0.96844883 -0.11682410 0.00221158

0.00027798 0.00259981 0.01472535 0.11639012 0.99218916 -0.04231242

0.00000360 0.00003935 0.00026275 0.00275842 0.04227964 0.99910197

J = 11, 0-

0.66659102 0.72997485 0.15085116 -0.00608662 0.00009750 -0.00000045

0.71913556 -0.57659485 -0.38616674 0.03544974 -0.00100152 0.00000710

0.19502529 -0.36275868 0.88482856 -0.21754413 0.01114595 -0.00012301

0.02155430 -0.05542214 0.21209401 0.96841477 -0.11682413 0.00221158

0.00100683 -0.00310216 0.01461711 0.11638751 0.99218915 -0.04231242

0.00001413 -0.00004894 0.00026131 0.00275838 0.04227964 0.99910197

38
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

i r

iAPPA = -0.600000 -CONTINUED = 11 , E0.89945454 - 0.43299297 0.05910522 - 0.00227975 0.00002810

0.43080418 0.85581131 - 0.28563338 0.02020346 - 0.00039573

0.07321839 0.28164782 0.94279693 - 0.16253118 0.00558027

0.00532357 0.02788752 0.16125482 0.98345699 - 0.07748017

0.00014956 0.00094275 0.00713987 0.07734717 0.99697820 = 12, E +

0.71181040 - 0.60064731 0.36273609 - 0.03115432 0.00083339 - 0.00000966 0.00000003

0.67017117 0.42736577 - 0.59920237 0.09573901 - 0.00443360 0.00007962 - 0.00000040

0.20774209 0.65169132 0.64172096 - 0.34543608 0.03176338 - 0.00092567 0.00000685

0.03214594 0.17752290 0.30951729 0.91007355 - 0.20809599 0.01065326 - 0.00012016

0.00253188 0.01909431 0.04204238 0.20522967 0.97088696 - 0.11452502 0.00218088

0.00009398 0.00086501 0.00217780 0.01357328 0.11418510 0.99247375 - 0.04204624

0.00000112 0.00001180 0.00003245 0.00023509 0.00266081 0.04201810 0.99911328 = 12 , 0+

0.90833870 - 0.40501250 0.10405161 - 0.00767454 0.00019306 - 0.00000172

0.40855810 0.80617519 - 0.42474269 0.05245304 - 0.00204049 0.00002630

0.08890466 0.42530051 0.85949330 - 0.26857337 0.01883882 - 0.00037784

0.00983579 0.07169399 0.26348161 0.94891664 -0.15769713 0.00543028

0.00054204 0.00508595 0.02479837 0.15674694 0.98434260 - 0.07654355

0.00001253 0.00013918 0.00080585 0.00676215 0.07643396 0.99705138 = 12 , 0-

0.62110920 0.75257936 0.21845793 - 0.01112391 0.00024024 - 0.00000199

0.74661590 - 0.48373791 - 0.45357295 0.05319510 - 0.00204606 0.00002632

0.23613838 - 0.43817500 0.82441323 - 0.26875471 0.01883960 - 0.00037784 0.03197994 - 0.08705867 0.25747610 0.94879198 - 0.15769728 0.00543028

0.00200027 - 0.00673501 0.02441249 0.15673388 0.98434254 - 0.07654355 0.00005040 - 0.00019467 0.00079667 0.00676173 0.07643396 0.99705138 = 12 , E0.87388181 - 0.47885914 0.08370385 - 0.00426267 0.00007839 - 0.00000040

0.47638231 0.80924379 - 0.34231050 0.03173384 - 0.00092555 0.00000685

0.09649382 0.33751860 0.91288300 - 0.20808954 0.01065324 - 0.00012016

0.00890429 0.04352929 0.20561377 0.97089039 - 0.11452502 0.00218088 0.00036676 0.00219120 0.01359177 0.11418536 0.99247375 - 0.04204624

0.00000469 0.00003205 0.00023534 0.00266081 0.04201810 0.99911328 = 13, E +

0.69634529 - 0.58052458 - 0.41892602 - 0.05091709 0.00170156 - 0.00002668 0.00000017

0.67850902 0.34393096 0.63468790 0.13582191 - 0.00778752 0.00018875 - 0.00000172

0.23031520 0.70069857 - 0.53883026 - 0.40426174 0.04698263 - 0.00185821 0.00002487

0.04084758 0.22973638 - 0.35692157 0.86737413 - 0.25593710 0.01782827 - 0.00036397

0.00388493 0.03069039 - 0.06261993 0.25036762 0.95326510 - 0.15393263 0.00531052

0.00019082 0.00187470 - 0.00446591 0.02258244 0.15319619 0.98501539 - 0.07577694

0.00000403 0.00004609 - 0.00012157 0.00070969 0.00647076 0.07568413 0.99711059 = 13 , 0+

0.89651921 - 0.42339521 0.12975556 - 0.01237423 0.00040901 - 0.00000544 0.00000002

0.43018575 0.76228782 - 0.47780254 0.07448542 -0.00376159 0.00007184 - 0.00000038

0.10491423 0.47958070 0.80926710 - 0.32128539 0.02927573 -0.00087025 0.00000665

0.01362492 0.09786339 0.31381317 0.92263104 - 0.20100951 0.01027304 - 0.00011786

0.00094097 0.00887437 0.03837785 0.19915703 0.97266719 - 0.11268484 0.00215569

0.00003155 0.00035736 0.00185252 0.01276293 0.11240845 0.99269764 - 0.04182431 0.00000035 0.00000447 0.00002619 0.00021558 0.00258301 0.04179969 0.99912265 = 13 , 0-

0.58210102 0.75575808 0.29936662 - 0.01916966 0.00052828 - 0.00000645 0.00000002

0.76372688 - 0.38256662 - 0.51433837 0.07619582 - 0.00377814 0.00007193 - 0.00000038

0.27550056 - 0.51527185 0.74446839 - 0.32171912 0.02927850 - 0.00087026 0.00000665

0.04434839 - 0.12959714 0.30034758 0.92223561 - 0.20101010 0.01027304 - 0.00011786

0.00350754 - 0.01310321 0.03728969 0.19910332 0.97266686 - 0.11268484 0.00215569

0.00012911 - 0.00056502 0.00181549 0.01276035 0.11240843 0.99269764 - 0.04182431

0.00000151 - 0.00000740 0.00002581 0.00021554 0.00258301 0.04179969 0.99912265

39
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

J r

KAPPA = -0.600000 -CONTINUED

J =13, E0.84788379 - 0.51791382 0.11315424 - 0.00737827 0.00018477 - 0.00000170

0.51589092 0.75681683 - 0.39859988 0.04689914 - 0.00185776 0.00002487 0.12149887 0.39359141 0.87436390 - 0.25591720 0.01782821 - 0.00036397

0.01367862 0.06372142 0.25157105 0.95327909 - 0.15393262 0.00531052

0.00075117 0.00434992 0.02266095 0.15319765 0.98501540 - 0.07577694

0.00001717 0.00011512 0.00071161 0.00647081 0.07568413 0.99711059

J = 14, E +

0.68246861 - 0.56027089 - 0.46262722 - 0.07936415 0.00324361 - 0.00006515 0.00000061 - 0.00000000

0.68451506 0.26986245 0.65088930 0.18651873 - 0.01292722 0.00040023 - 0.00000537 0.00000002

0.25125499 0.72947965 - 0.43322270 -0.46112086 0.06636729 - 0.00337676 0.00006667 - 0.00000037

0.05015166 0.28119493 - 0.40787060 0.81121586 - 0.30533559 0.02746120 -0.00082781 0.00000650

0.00559982 0.04524647 - 0.09059482 0.29498762 0.92972106 - 0.19548812 0.00997075 - 0.00011598

0.00034417 0.00351934 - 0.00844453 0.03447033 0.19406081 0.97401394 - 0.11117858 0.00213466

0.00001052 0.00012691 - 0.00034279 0.00160496 0.01212614 0.11094688 0.99287836 - 0.04163643

0.00000011 0.00000146 - 0.00000428 0.00002203 0.00020064 0.00251958 0.04161458 0.99913054

J = 14, 0+

0.88521028 - 0.43788034 0.15590435 - 0.01888849 0.00079433 - 0.00001438 0.00000010

0.44886093 0.71625490 - 0.52454759 0.10154354 - 0.00644103 0.00016625 - 0.00000160

0.12082963 0.52802401 0.75139940 - 0.37436484 0.04286931 - 0.00172284 0.00002375

0.01801576 0.12738894 0.36441808 0.88864058 - 0.24632093 0.01705152 - 0.00035292

0.00150112 0.01420714 0.05593454 0.24301169 0.95645654 - 0.15091807 0.00521269

0.00006649 0.00076605 0.00365750 0.02111696 0.15032653 0.98554368 - 0.07513790

0.00000129 0.00001716 0.00009342 0.00064445 0.00623927 0.07505763 0.99715947

J = 14 , 0-

0.54844947 0.74089524 0.38637198 - 0.03151149 0.00106843 - 0.00001749 0.00000012

0.77336169 - 0.27530740 - 0.56125748 0.10519261 - 0.00648520 0.00016657 - 0.00000161 0.31252435 - 0.58452615 0.64652130 - 0.37526847 0.04287797 - 0.00172287 0.00002375

0.05841004 - 0.18186043 0.33888427 0.88752838 - 0.24632295 0.01705153 - 0.00035292

0.00562011 - 0.02311305 0.05349546 0.24282229 0.95645509 - 0.15091807 0.00521269

0.00027495 - 0.00135257 0.00355354 0.02110469 0.15032638 0.98554368 - 0.07513790

0.00000575 - 0.00003207 0.00009171 0.00064415 0.00623926 0.07505763 0.99715947

J =14, E0.82212624 - 0.54990582 0.14685833 - 0.01202147 0.00038901 - 0.00000530 0.00000002

0.54950632 0.69925101 - 0.45244146 0.06615252 - 0.00337525 0.00006667 - 0.00000037

0.14751922 0.44803696 0.82677018 - 0.30528223 0.02746095 - 0.00082781 0.00000650

0.01968443 0.08862352 0.29827933 0.92977031 - 0.19548807 0.00997075 - 0.00011598

0.00136233 0.00776352 0.03474560 0.19406745 0.97401397 -0.11117858 0.00213466

0.00004534 0.00030286 0.00161483 0.01212645 0.11094688 0.99287836 - 0.04163643

0.00000049 0.00000368 0.00002213 0.00020065 0.00251958 0.04161458 0.99913054

J = 15, E+

0.66990363 - 0.54174153 -0.49373131 - 0.11806952 0.00584827 -0.00014516 0.00000183 -0.00000001 0.68873976 0.20581733 0.64911234 0.24800890 - 0.02051630 0.00078217 - 0.00001408 0.00000010

0.27059109 0.74246639 - 0.32395557 - 0.51222879 0.09036553 - 0.00571108 0.00015173 - 0.00000152

0.05989782 0.33009117 - 0.46188076 0.73907792 - 0.35536959 0.03989855 - 0.00162011 0.00002286

0.00768469 0.06247633 -0.12796141 0.33687788 0.89937343 - 0.23881791 0.01643636 -0.00034391 0.00056933 0.00595347 - 0.01505695 0.04939905 0.23626472 0.95886007 - 0.14844957 0.00513127

0.00002296 0.00028651 - 0.00083134 0.00311296 0.01993667 0.14795816 0.98596944 - 0.07459702

0.00000041 0.00000588 - 0.00001882 0.00007710 0.00059411 0.00605095 0.07452644 0.99720050

J = 15 , 0 +

0.87442423 -0.44908165 0.18152115 - 0.02749443 0.00144029 - 0.00003364 0.00000035 -0.00000000

0.46500496 0.66936451 - 0.56369843 0.13363009 - 0.01041646 0.00034453 - 0.00000489 0.00000002

0.13645801 0.56958477 0.68675947 - 0.42626754 0.06000214 - 0.00309143 0.00006269 - 0.00000036

0.02295253 0.15936272 0.41418882 0.84615235 - 0.29303614 0.02607146 - 0.00079425 0.00000637

0.00224471 0.02124708 0.07784885 0.28752963 0.93499223 - 0.19106215 0.00972471 - 0.00011440

0.00012425 0.00145076 0.00653477 0.03215365 0.18993005 0.97506942 - 0.10992287 0.00211683

0.00000349 0.00004746 0.00024595 0.00144701 0.01162177 0.10972417 0.99302728 - 0.04147532

0.00000003 0.00000050 0.00000290 0.00001931 0.00018898 0.00246689 0.04145570 0.99913728

40
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.<riOOOOO -CONTINlJED

II LO © 1

0.51914567 0.71243835 -0.46950550 -0.04979804 0.00202470 -0.00004210 0.00000041 -0.00000000

0.77758024 -0.16852970 0.58907382 0.14088243 -0.01052487 0.00034553 -0.00000489 0.00000002 0.34688340 -0.63645175 -0.53656466 -0.42788628 0.06002671 -0.00309156 0.00006269 -0.00000036

0.07387625 -0.23992950 -0.37310188 0.84333687 -0.29304214 0.02607148 -0.00079425 0.00000637

0.00840762 -0.03720921 -0.07355084 0.28694205 0.93498663 -0.19106216 0.00972471 -0.00011440

0.00051708 -0.00279226 -0.00633899 0.03210488 0.18992930 0.97506942 -0.10992287 0.00211683

0.00001570 -0.00009750 -0.00024273 0.00144526 0.01162174 0.10972417 0.99302728 -0.04147532

0.00000016 -0.00000109 -0.00000290 0.00001930 0.00018898 0.00246689 0.04145570 0.99913728

J =15, E0.79705549 -0.57496245 0.18377392 -0.01863631 0.00075354 -0.00001384 0.00000010

0.57768580 0.63755629 -0.50169163 0.08985557 -0.00570665 0.00015170 -0.00000152

0.17393344 0.49884311 0.77013605 -0.35524460 0.03989770 -0.00162011 0.00002286

0.02690186 0.11803320 0.34480640 0.89952700 -0.23881771 0.01643636 -0.00034391

0.00225933 0.01278406 0.05021682 0.23629055 0.95886021 -0.14844957 0.00513127

0.00009967 0.00066956 0.00315208 0.01993832 0.14795817 0.98596944 -0.07459702

0.00000192 0.00001461 0.00007787 0.00059415 0.00605095 0.07452644 0.99720050 KAPPA = -0.'700000 J = 2, E+

0.99756762 -0.06970547

0.06970547 0.99756762

J =3, E+

0.98844946 -0.15155089

0.15155089 0.98844946

J =3, 0+

0.99931795 -0.03692730

0.03692730 0.99931795

J = 3, 0-

0.99913077 -0.04168576

0.04168576 0.99913077

J = 4, E +

0.96897302 -0.24715450 0.00243879

0.24708071 0.96832946 -0.03590519

0.00651258 0.03539374 0.99935222

J = 4, 0 +

0.99737091 -0.07246560

0.07246560 0.99737091

II © 1 ’"s 0.99607941 -0.08846363

0.08846363 0.99607941

II 1

0.99936309 -0.03568507

0.03568507 0.99936309

J =5, E +

0.93947959 -0.34252677 0.00731537

0.34216463 0.93697632 -0.07070175

0.01736292 0.06892592 0.99747067

J = 5, 0 +

0.99370364 -0.11203158 0.00141715

0.11201473 0.99312375 -0.03402825

0.00240484 0.03397274 0.99941987

II yi © 1

0.98869040 -0.14996276 0.00156878

0.14992884 0.98811070 -0.03403817

0.00355433 0.03388842 0.99941930

41
TABLE I.- TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0. 700000 -CONTIN JED 1

J =5, E0.99756762 -0.06970547

0.06970547 0.99756762

J = 6, E +

0.90454622 -0.42606181 0.01635417 -0.00008993

0.42508581 0.89816536 -0.11224591 0.00137849

0.03313360 0.10846674 0.99300045 -0.03297335

0.00058821 0.00230134 0.03291668 0.99945528

J =6, 0+

0.98812174 -0.15362407 0.00388342

0.15354945 0.98599730 -0.06505304

0.00616468 0.06487662 0.99787425

J = 6, 0-

0.97389800 -0.22694191 0.00447858

0.22674662 0.97177504 -0.06510939.

0.01042387 0.06442541 0.99786808

II v© 1

0.99402242 -0.10916750 0.00137187

0.10915321 0.99347791 -0.03297291

0.00223664 0.03292556 0.99945530

J =1, E +

0.86935882 -0.49318988 0.03128706 -0.00032402

0.49136410 0.85591859 -0.16109297 0.00370772

0.05266475 0.15532960 0.98450700 -0.06200893

0.00172887 0.00631070 0.06177496 0.99806866

J = 7, 0 +

0.98072165 -0.19524552 0.00801405 -0.00005460

0.19505341 0.97563263 -0.10046613 0.00130354

0.01179714 0.10008182 0.99438596 -0.03226494

0.00018001 0.00194771 0.03223201 0.99947850

II © 1

0.94838532 -0.31697196 0.00969852 -0.00006003

0.31630200 0.94329998 -0.10068015 0.00130383

0.02276380 0.09854030 0.99434933 -0.03226496

0.00037920 0.00193148 0.03223130 0.99947850

J = 7, E0.98814413 -0.15348505 0.00367570

0.15341596 0.98621438 -0.06200593

0.00589196 0.06183471 0.99806901

J = 8, E +

0.83701391 -0.54450813 0.05401736 -0.00085651 0.00000341 0.54206323 0.81166670 -0.21750111 0.00760748 -0.00005359

0.07457731 0.21102005 0.97003880 -0.09450879 0.00125563

0.00365817 0.01336260 0.09379260 0.99498865 -0.03175831

0.00004876 0.00020487 0.00174973 0.03173427 0.99949479

J = 8, 0 +

0.97182079 -0.23529070 0.01423364 -0.00018366

0.23492774 0.96183429 -0.14025758 0.00339957

0.01931345 0.13959732 0.98820279 -0.05995687

0.00053878 0.00506592 0.05983697 0.99819516

J = 8, 0-

0.91044192 -0.41323570 0.01821347 -0.00020750

0.41151522 0.90043953 -0.14089819 0.00340122

0.04182162 0.13572002 0.98804665 -0.05995703

0.00129911 0.00499805 0.05983133 0.99819514

42
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

CAPPA = -0.

1700000 -CONTIN UED = 8, E0.97946191 -0.20148980 0.00749799 -0.00005336

0.20128770 0.97496273 -0.09449528 0.00125562

0.01173004 0.09405563 0.99499113 -0.03175831

0.00017214 0.00175300 0.03173432 0.99949479 = 9, E+

0.80851719 -0.58209971 0.08634938 -0.00191305 0.00001404

0.58026757 0.76421065 -0.28122389 0.01359153 -0.00017632

0.09771126 0.27663024 0.94702781 -0.13059964 0.00320723

0.00647917 0.02484389 0.12874565 0.98961817 -0.05849138

0.00015683 0.00071007 0.00445002 0.05840572 0.99828275 = 9, 0 +

0.96184063 -0.27265012 0.02289761 -0.00045647 0.00000212

0.27211342 0.94448190 -0.18401680 0.00678572 -0.00005088

0.02855676 0.18306959 0.97851247 -0.09045384 0.00122108

0.00118065 0.01006796 0.09013449 0.99538357 -0.03137787

0.00001399 0.00014107 0.00162477 0.03135927 0.99950685

II o7 O 1

0.86198226 -0.50597538 0.03122840 -0.00053181 0.00000232

0.50240803 0.84444056 -0.18563452 0.00679231 -0.00005089

0.06754778 0.17552992 0.97797904 -0.09045463 0.00122108

0.00316927 0 00991405 0.09010527 0.99538341 -0.03137787

0.00004055 0.00014097 0.00162440 0.03135927 0.99950685 = 9, E0.96772416 -0.25166138 0.01328409 -0.00017513

0.25120699 0.95908335 -0.13055225 0.00320714

0.02011728 0.12963676 0.98963042 -0.05849138

0.00054143 0.00447032 0.05840617 0.99828275 = 10, E+

0.78375160 -0.60744109 0.12936057 -0.00382072 0.00004206 -0.00000013

0.60904664 0.71096706 -0.35084632 0.02224169 -0.00043202 0.00000210

0.12120597 0.35177407 0.91246053 -0.17011865 0.00628832 -0.00004902

0.01022718 0.04234144 0.16587170 0.98128523 -0.08756175 0.00119505

0.00036495 0.00183542 0.00866318 0.08733443 0.99565460 -0.03108168

0.00000389 0.00002213 0.00011658 0.00153417 0.03106660 0.99951613 = 10, 0+

0.95120146 -0.30666302 0.03424393 -0.00096302 0.00000826

0.30605419 0.92347528 -0.23105095 0.01181816 -0.00016258

0.03926639 0.22988641 0.96449384 -0.12390559 0.00306969

0.00218226 0.01741376 0.12319822 0.99056570 -0.05739158

0.00004669 0.00044713 0.00407874 0.05732717 0.99834701

II o 0 1

0.80819247 -0.58677495 0.05018705 -0.00116118 0.00000924

0.58058344 0.77957395 -0.23462122 0.01183961 -0.00016264

0.09852808 0.21831380 0.96294781 -0.12390880 0.00306970

0.00632427 0.01727677 0.12308144 0.99056483 -0.05739158

0.00014771 0.00045434 0.00407600 0.05732714 0.99834701 = 10 , E0.95296760 -0.30230924 0.02148703 -0.00042763 0.00000209

0.30145537 0.93818553 -0.16997948 0.00628795 -0.00004902

0.03123851 0.16834641 0.98133336 -0.08756171 0.00119505

0.00125227 0.00874652 0.08733709 0.99565461 -0.03108168

0.00001438 0.00011735 0.00153420 0.03106660 0.99951613 = 11, E +

0.76220557 -0.62107045 0.18238610 -0.00703282 0.00010572 -0.00000060

0.63083543 0.64958890 -0.42297670 0.03421722 -0.00090493 0.00000800

0.14445519 0.43332983 0.86369696 -0.21276556 0.01078467 -0.00015331

0.01488354 0.06719288 0.20405213 0.96923837 -0.11914070 0.00296687

0.00071110 0.00401587 0.01470295 0.11862988 0.99121030 -0.05653576

0.00001362 0.00008869 0.00036233 0.00380443 0.05648455 0.99839616

284-758 0- 68—4 43
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

nr

KAPPA = -0.700000 -CONTINl

r

JED

J = 11, o+

0.94025882 - 0.33700578 0.04834402 - 0.00182175 0.00002353 - 0.00000008

0.33657907 0.89874423 - 0.28038735 0.01887101 - 0.00038803 0.00000200

0.05113600 0.27915546 0.94539042 - 0.16018452 0.00593466 - 0.00004761 0.00360335 0.02751420 0.15881059 0.98321723 - 0.08539135 0.00117473

0.00011313 0.00105346 0.00787004 0.08522450 0.99585257 - 0.03084454

0.00000110 0.00001164 0.00010181 0.00146673 0.03083190 0.99952350

J = 11 , o0.75465309 - 0.65161575 0.07674910 - 0.00228199 0.00002692 - 0.00000009

0.64245913 0.71013084 - 0.28740548 0.01893135 - 0.00038827 0.00000200

0.13275661 0.26519795 0.94146056 - 0.16019524 0.00593468 - 0.00004761 0.01097835 0.02792706 0.15842329 0.98321338 - 0.08539135 0.00117473

0.00038018 0.00110834 0.00785650 0.08522428 0.99585257 - 0.03084454

0.00000393 0.00001253 0.00010168 0.00146673 0.03083190 0.99952350

J =11, E0.93551643 0.35038770 0.04507210

0.00244435

0.00005083

- 0.35178015 0.91213706

0.20983973 0.01496173

0.00036653

0.03254134 - 0.21241030

0.96939803

0.11864197

0.00380471

- 0.00089165 0.01078328 -0.11914049

0.99121035

0.05648455

0.00000795 - 0.00015331 0.00296687 - 0.05653576 0.99839616

J = 12, E+

0.74331793 0.62344806 0.24216354 - 0.01215480 0.00023601 - 0.00000199 0.00000001 0.64742299 - 0.57977013 - 0.49211876 0.05026199 - 0.00171080 0.00002242 - 0.00000008

0.16704695 - 0.51494747 0.80000759 - 0.25811489 0.01699577 - 0.00035903 0.00000193

0.02038957 - 0.09973932 0.24215698 0.95263480 - 0.15313747 0.00567206 - 0.00004651 0.00123169 - 0.00775972 0.02287121 0.15210818 0.98451552 - 0.08370256 0.00115842

0.00003451 - 0.00025537 0.00084268 0.00726084 0.08357188 0.99600341 - 0.03065039

0.00000031 - 0.00000253 0.00000901 0.00009119 0.00141454 0.03063953 0.99952949

J = 12 , 0 +

0.92928119 - 0.36358299 0.06506736 - 0.00318058 0.00005644 - 0.00000036

0.36377003 0.87031155 - 0.33079613 0.02832784 - 0.00079350 0.00000743

0.06385696 0.32970607 0.92059711 - 0.19903793 0.01005194 - 0.00014637

0.00548362 0.04067752 0.19663221 0.97277330 - 0.11556305 0.00288708

0.00022971 0.00211297 0.01329666 0.11519748 0.99167984 - 0.05585081 0.00000399 0.00004230 0.00031265 0.00360169 0.05580859 0.99843494

J = 12 , 0-

0.70499771 0.70019141 0.11266295 - 0.00415544 0.00006616 - 0.00000040

0.68870336 - 0.63804145 - 0.34318950 0.02848017 - 0.00079434 0.00000743

0.16843012 - 0.31745742 0.91165924 - 0.19906894 0.01005202 - 0.00014637

0.01722091 - 0.04301569 0.19552479 0.97275896 - 0.11556306 0.00288708

0.00080331 - 0.00234992 0.01324416 0.11519640 0.99167984 - 0.05585081 0.00001499 - 0.00004858 0.00031172 0.00360166 0.05580859 0.99843494

J = 12 , E0.91590975 - 0.39864021 0.04682414 - 0.00167566 0.00002223 - 0.00000008

0.39663693 0.88101219 - 0.25730884 0.01699136 - 0.00035902 0.00000193

0.06140331 0.25367391 0.95309819 - 0.15313671 0.00567206 - 0.00004651 0.00425342 0.02350151 0.15215372 0.98451581 - 0.08370256 0.00115842

0.00013026 0.00085659 0.00726244 0.08357189 0.99600341 - 0.03065039

0.00000123 0.00000910 0.00009121 0.00141454 0.03063953 0.99952949

J = 13 , E +

0.72659837 0.61617132 0.30329644 - 0.01996867 0.00048270 - 0.00000550 0.00000003

0.66009638 - 0.50429958 - 0.55215495 0.07120808 - 0.00300376 0.00005315 - 0.00000035

0.18871407 - 0.58870020 0.72373520 - 0.30559648 0.02523278 - 0.00072194 0.00000702

0.02665968 - 0.13879507 0.27967130 0.93051736 - 0.18935709 0.00951124 - 0.00014100

0.00195901 - 0.01350799 0.03353589 0.18743348 0.97510550 -0.11277869 0.00282337

0.00007304 - 0.00060231 0.00168724 0.01214507 0.11249598 0.99203676 - 0.05529021 0.00000116 - 0.00001081 0.00003280 0.00027611 0.00344525 0.05525442 0.99846632

44
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.'r~700000 -CONTINlJED

J = 13, 0+

0.91845419 -0.38645335 0.08407437 -0.00521512 0.00012053 -0.00000115 0.00000000

0.38785159 0.83837097 -0.38086423 0.04056530 -0.00146693 0.00002031 -0.00000008

0.07714510 0.38015595 0.88973903 -0.24010209 0.01566570 -0.00033755 0.00000188

0.00784259 0.05705180 0.23624360 0.95863757 -0.14783991 0.00546933 -0.00004562

0.00041432 0.00380157 0.02066020 0.14712513 0.98545915 -0.08235101 0.00114504

0.00001048 0.00011228 0.00072002 0.00681480 0.08224455 0.99612214 -0.03048850

0.00000009 0.00000103 0.00000738 0.00008353 0.00137298 0.03047901 0.99953446

J =13, 0-

0.66065925 0.73352949 0.15941419 -0.00713680 0.00014512 -0.00000130 0.00000000

0.72193321 -0.56277144 -0.40053003 0.04091816 -0.00146940 0.00002032 -0.00000008

0.20423577 -0.37565132 0.87134443 -0.24018155 0.01566600 -0.00033755 0.00000188

0.02504666 -0.06393831 0.23345515 0.95859099 -0.14783996 0.00546933 -0.00004562

0.00148654 -0.00455577 0.02049093 0.14712058 0.98545913 -0.08235101 0.00114504

0.00004071 -0.00014039 0.00071563 0.00681464 0.08224455 0.99612214 -0.03048850

0.00000035 -0.00000132 0.00000734 0.00008353 0.00137298 0.03047901 0.99953446

J =13, E0.89478881 -0.44178104 0.06460625 -0.00291962 0.00005255 -0.00000035

0.43923474 0.84501484 -0.30395095 0.02522032 -0.00072189 0.00000702

0.07987207 0.29928178 0.93172164 -0.18935463 0.00951123 -0.00014100

0.00679676 0.03474061 0.18758169 0.97510666 -0.11277869 0.00282337

0.00027886 0.00171653 0.01215209 0.11249607 0.99203676 -0.05529021

0.00000473 0.00003298 0.00027623 0.00344526 0.05525442 0.99846632

J = 14, EA

0.71165151 -0.60226753 0.36032776 -0.03144843 0.00092205 -0.00001344 0.00000009 -0.00000000

0.66978370 0.42807434 -0.59876565 0.09796425 -0.00498369 0.00011272 -0.00000110 0.00000000

0.20929620 0.64841596 0.63940130 -0.35444829 0.03581209 -0.00131477 0.00001884 -0.00000008

0.03359283 0.18198625 0.31712107 0.90177875 -0.22752129 0.01469001 -0.00032108 0.00000183

0.00291945 0.02150398 0.04726827 0.22411103 0.96248994 -0.14371484 0.00530815 -0.00004489

0.00013697 0.00122757 0.00308305 0.01869093 0.14316812 0.98617468 -0.08124483 0.00113387

0.00000316 0.00003244 0.00008897 0.00062744 0.00647101 0.08115549 0.99621800 -0.03035146

0.00000002 0.00000027 0.00000080 0.00000623 0.00007773 0.00133913 0.03034303 0.99953864

J = 14, 0 +

0.90789631 -0.40578992 0.10484652 -0.00812315 0.00023627 -0.00000305 0.00000002

0.40911303 0.80333593 -0.42911933 0.05592987 -0.00252122 0.00004708 -0.00000033

0.09075380 0.42904643 0.85271555 -0.28289291 0.02302725 -0.00066937 0.00000670

0.01068161 0.07658515 0.27716788 0.94019625 -0.18206275 0.00909574 -0.00013672

0.00068523 0.00630346 0.03026442 0.18077722 0.97679808 -0.11054990 0.00277132

0.00002301 0.00025008 0.00142550 0.01131433 0.11032207 0.99231718 -0.05482289

0.00000034 0.0000041

1

0.00002635 0.00025013 0.00332112 0.05479192 0.99849224

J = 14, 0 -

0.62168743 0.75236686 0.21751306 -0.01169730 0.00029284 -0.00000352 0.00000002

0.74501946 -0.48263030 -0.45693953 0.05669101 -0.00252783 0.00004711 -0.00000033

0.23929541 -0.43871476 0.81829354 -0.28307598 0.02302819 -0.00066938 0.00000670

0.03438317 -0.09205041 0.27092449 0.94006105 -0.18206293 0.00909574 -0.00013672

0.00249848 -0.00824979 0.02979854 0.18076078 0.97679800 -0.11054990 0.00277132

0.00009136 -0.00034536 0.00140940 0.01131356 0.11032207 0.99231718 -0.05482289

0.00000142 -0.00000590 0.00002612 0.00025011 0.00332112 0.05479192 0.99849224

II 1

0.87278759 -0.48044053 0.08599818 -0.00479756 0.00011104 -0.00000109 0.00000000

0.47763070 0.80442339 -0.35141143 0.03577995 -0.00131461 0.00001884 -0.00000008

0.10003588 0.34593105 0.90462472 -0.22751428 0.01468999 -0.00032108 0.00000183

0.01016269 0.04900964 0.22453890 0.96249412 -0.14371484 0.00530815 -0.00004489

0.00052823 0.00310836 0.01871691 0.14316853 0.98617468 -0.08124483 0.00113387

0.00001309 0.00008809 0.00062812 0.00647103 0.08115549 0.99621800 -0.03035146

0.0000001

1

0.00000078 0.00000624 0.00007773 0.00133913 0.03034303 0.99953864

45
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0 . r700000 -CONTIN

r

UED

J = 15 , E+

0.69816750 - 0.58516912 - 0.40970316 - 0.04774710 0.00166650 - 0.00003000 0.00000027 - 0.00000000

0.67716230 0.35570754 0.63053828 0.13146220 - 0.00790446 0.00022034 - 0.00000289 0.00000002

0.22871054 0.69182286 - 0.55113407 -0.40362517 0.04904697 - 0.00222982 0.00004294 -0.00000031 0.04108177 0.22675024 - 0.35576586 0.86512219 - 0.26726709 0.02141888 - 0.00062942 0.00000645 0.00413254 0.03177591 - 0.06494962 0.26144135 0.94615919 - 0.17637768 0.00876665 - 0.00013323 0.00023506 0.00223493 - 0.00530957 0.02711329 0.17540313 0.97807807 - 0.10872543 0.00272800

0.00000718 0.00007916 - 0.00020759 0.00122614 0.01067283 0.10853592 0.99254328 - 0.05442736

0.00000010

J = 15 , 0 +

0.00000119 - 0.00000336 0.00002192 0.00023053 0.00322028 0.05440012 0.99851400

0.89767669 - 0.42185792 0.12674981 - 0.01211456 0.00043305 - 0.00000718 0.00000005 - 0.00000000

0.42785997 0.76583005 - 0.47417534 0.07470697 - 0.00409718 0.00009777 -0.00000101 0.00000000

0.10447800 0.47501493 0.80969258 - 0.32679130 0.03238962 - 0.00120376 0.00001772 - 0.00000007 0.01398694 0.09901975 0.31888120 0.91683924 - 0.21800352 0.01394327 - 0.00030805 0.00000180

0.00106002 0.00979227 0.04240749 0.21583687 0.96528592 - 0.14041131 0.00517694 - 0.00004428

0.00004471 0.00049378 0.00255854 0.01730580 0.13997524 0.98673585 - 0.08032274 0.00112440 0.00000095 0.00001189 0.00006961 0.00056289 0.00619897 0.08024607 0.99629701 - 0.03023395

0.00000001 0.00000009 0.00000059 0.00000545 0.00007320 0.00131103 0.03022637 0.99954222

J = 15 , 0-

0.58753179 0.75694481 0.28548257 - 0.01844855 0.00055382 - 0.00000845 0.00000006 - 0.00000000 0.76039983 - 0.39650758 -0.50866751 0.07625138 - 0.00411339 0.00009788 - 0.00000101 0.00000000

0.27303544 - 0.50320169 0.75109695 - 0.32717328 0.03239229 -0.00120377 0.00001772 - 0.00000007

0.04510970 - 0.12808673 0.30642794 0.91648270 - 0.21800409 0.01394327 - 0.00030805 0.00000180

0.00390251 - 0.01405567 0.04130427 0.21578413 0.96528557 - 0.14041131 0.00517694 - 0.00004428

0.00018025 - 0.00075666 0.00251112 0.01730264 0.13997521 0.98673585 - 0.08032274 0.00112440

0.00000408 - 0.00001907 0.00006867 0.00056281 0.00619897 0.08024607 0.99629701 - 0.03023395

0.00000003 - 0.00000015 0.00000059 0.00000545 0.00007320 0.00131103 0.03022637 0.99954222

J =15, E0.85045709 - 0.51416663 0.11090014 - 0.00751829 0.00021604 - 0.00000286 0.00000002

0.51163407 0.75958312 -0.39857373 0.04897014 - 0.00222934 0.00004293 - 0.00000031 0.12142877 0.39269593 0.87130000 - 0.26724915 0.02141881 - 0.00062942 0.00000645

0.01440578 0.06654882 0.26255526 0.94617256 - 0.17637767 0.00876665 - 0.00013323

0.00091362 0.00522401 0.02719690 0.17540473 0.97807808 - 0.10872543 0.00272800

0.00003014 0.00019897 0.00122908 0.01067290 0.10853592 0.99254328 -0.05442736

0.00000043 KAPPA = -0.0.00000316

800000

0.00002196 0.00023053 0.00322028 0.05440012 0.99851400

J = 2 , E+

0.99896712

0.04543900 - 0.045439000.99896712

J = 3 , E+

0.99494979

0.10037384 -0.10037384

0.99494979

J = 3 , 0 +

0.99970006 0.02449049 - 0.02449049

0.99970006

J = 3 , 0 -

0.99964883 0.02649933 - 0.02649933

0.99964883

J — 4, E +

0.98559923

0.16907285

0.00292081

- 0.16909497 0.98532929

0.02308846

0.00102567 - 0.02324986

0.99972916

J = 4, 0 +

0.99880759

0.04882006 -0.04882006

0.99880759

J = 4, 0 -

0.99845110

0.05563629 - 0.05563629 0.99845110

46
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.800000 -CONTINUED

J =4, E0.99973108

0.02318962

J =5, E+

0.96930735

0.24571337

0.00825863

J = 5, 0 +

0.99703310

0.07696619

0.00109387

J =5, 0-

0.99562435 0.09343520

0.00141737

J = 5, E -

0.99896712

0.04543900

J = 6, E+

0.94637918

0.32261585

0.01689412 0.00019780

J = 6, 0+

0.99415081 0.10796194

0.00289482

J =6,0-

0.99001627

0.14089246

0.00413479

J = 6, E0.99743669

0.07154814

0.00095417

J = 7, E+

0.91905180

0.39308397

0.02878151 0.00062839

J =1,0+

0.99004262

0.14065085 0.00574025

0.00005803

J =1,0-

0.98007945 0.19839653

0.00911457

0.00009778

J = 7, E0.99483884

0.10143583

0.00254209

-0.02318962

0.99973108

-0.24583286

0.96826402

0.04506661

-0.07697157

0.99678927

0.02205746

-0.09344369

0.99538054 0.02204198

-0.04543900

0.99896712

-0.32298467

0.94375587 0.07074497

0.00095899

-0.10798770

0.99325703

0.04217967

-0.14094110

0.98912273

0.04209310

-0.07155217

0.99720778

0.02137588

-0.39391644

0.91364288

0.10039838

0.00258634

-0.14072441

0.98789889

0.06520542

0.00082103

-0.19856633

0.97793693

0.06488529 0.00081869

-0.10145582

0.99402739

0.04020277

0.00307693 -0.04571364

0.99894985

0.00060733 -0.02207622

0.99975611

0.00064868 -0.02207798

0.99975604

0.00688058 -0.07241231

0.99712197 0.02137485

0.00167849 -0.04224556

0.99910585

0.00184079 -0.04225562

0.99910514

0.00057790 -0.02138936

0.99977105

0.01317611 -0.10363037

0.99371598

0.04019570

0.00350086 -0.06536679

0.99763583

0.02092090

0.00396007 -0.06540545

0.99763158

0.02092085

0.00155109 -0.04025319

0.99918831

-0.00002453

0.00057907 -0.02138941

0.99977105

-0.00008842

0.00155676 -0.04025354

0.99918828

-0.00001515

0.00054840 -0.02092990

0.99978080

-0.00001611

0.00054843 -0.02092990

0.99978080

47
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.800000 -CONTINUED

J =8, E+

0.89023257 0.45343262

0.04339100

0.00142909

0.00001261

J = 8, 0 +

0.98471367

0.17390717

0.00975937 0.00018156

J = 8, 0 -

0.96403347

0.26521919

0.01726637

0.00034613

J =8, E0.99086771

0.13473951 0.00514300

0.00004924

J =9, E+

0.86222327

0.50295477

0.06000202

0.00269897

0.00004352

J = 9, 0 +

0.97827822

0.20675259

0.01499718

0.00041659

0.00000327

J =9,0-

0.94036541 0.33889075 0.02941349

0.00089444

0.00000742

J =9, E0.98524569

0.17090852 0.00900990

0.00015866

J = 10, E +

0.83629344

0.54269801 0.07792184

0.00450838

0.00010790

0.00000076

J = 10, 0+

0.97092504

0.23842192

0.02142204

0.00080638 0.00001150

-0.45493433

0.88029326

0.13449850

0.00535618 0.00005244

-0.17406691

0.98049605

0.09123391 0.00214025

-0.26567825

0.95981946

0.09031691 0.00212815

-0.13480031

0.98897499

0.06129268

0.00073851

-0.50519252

0.84527899

0.17375026

0.00973499 0.00017704

-0.20704018

0.97091215

0.12019041 0.00426992 0.00003874

-0.33993363

0.93300383

0.11803007

0.00422898

0.00003855

-0.17105285

0.98160795 0.08475378

0.00188593

-0.54541368

0.80891192

0.21890335

0.01632611 0.00044904

0.00000347

-0.23886778

0.95906548

0.15192216 0.00743186

0.00012357

0.02281809 -0.13954372

0.98805539

0.06126078 0.00073826

0.00630000 -0.09155187

0.99502076

0.03888777

0.00738463 -0.09166971

0.99500247 0.03888734

0.00317262 -0.06142838

0.99789396

0.02059464

0.03675969 -0.18029828

0.97927194 0.08464144

0.00188425

0.01029906 -0.12072609

0.99089495

0.05870151 0.00068430

0.01256988 -0.12103193

0.99083157 0.05869926

0.00068428

0.00564321 -0.08505465

0.99563750

0.03794496

0.05600086 -0.22595055

0.96625755

0.11019518

0.00368957

0.00003201

0.01570588 -0.15272030

0.98485971 0.08048749

0.00172025

-0.00023385

0.00319197 -0.06142996

0.99789377 0.02059464

-0.00005127

0.00143125 -0.03892070

0.99924128

-0.00005549

0.00143144 -0.03892071

0.99924128

-0.00001458

0.00052820 -0.02060116

0.99978763

-0.00052265

0.00569750 -0.08506028

0.99563658 0.03794494

-0.00012830

0.00286023 -0.05879015

0.99805883

0.02034924

-0.00014164

0.00286098 -0.05879021

0.99805882 0.02034924

-0.00004790

0.00135001 -0.03796811

0.99927804

-0.00104466

0.00931214 -0.11112529

0.99213497

0.05684317 0.00064595

-0.00027286

0.00499032 -0.08068732

0.99603116

0.03723573

0.00000060 -0.00001460

0.00052820 -0.02060116

0.99978763

0.00000248 -0.00004803

0.00135002 -0.03796811

0.99927804

0.00000038 -0.00001388

0.00051367 -0.02035429

0.99979270

0.00000040 -0.00001388

0.00051367 -0.02035429

0.99979270

0.00000745 -0.00011767

0.00264950 -0.05690434

0.99817259

0.02015799

0.00000149 -0.00004438

0.00129213 -0.03725322

0.99930502

- 0.00000002

0.00000037 -0.00001337

0.00050272 -0.02016209

0.99979660

48
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.)r~

J = 10, 0 -

100000 —CONTINlJED

— 0.90862494 - 0.41713098 0.02005900 - 0.00030795 0.00000160

0.41506694 0.89674743 - 0.15342279 0.00499278 - 0.00004439

0.04600472 0.14762131 0.98467221 - 0.08068757 0.00129213

0.00192603 0.00733001 0.08047835 0.99603112 - 0.03725322

0.00002929 0.00012288 0.00172011 0.03723573 0.99930502

J = 10 , E0.97776083 - 0.20952207 0.00917898 - 0.00011717 0.00000037

0.20923026 0.97153003 - 0.11110837 0.00264948 - 0.00001337

0.01436381 0.11052704 0.99213865 - 0.05690433 0.00050272

0.00037821 0.00369698 0.05684330 0.99817259 - 0.02016209

0.00000284 0.00003205 0.00064595 0.02015799 0.99979660

J = 11 , E+

0.81288579 - 0.57669381 0.08146927 -0.00192482 0.00001874 - 0.00000007

0.57431911 0.77045555 - 0.27631715 0.01430318 - 0.00024643 0.00000141 0.09657442 0.27046661 0.94764264 - 0.13954897 0.00455031 - 0.00004185

0.00689885 0.02587181 0.13764134 0.98707654 -0.07756460 0.00124883

0.00022268 0.00097981 0.00631410 0.07742825 0.99630182 - 0.03669692 0.00000284 0.00001385 0.00009994 0.00160391 0.03668300 0.99932566

J = 11 , 0 +

0.96287679 - 0.26898488 0.02269681 - 0.00052104 0.00000427 - 0.00000001 0.26838170 0.94490011 - 0.18727309 0.00798893 - 0.00010603 0.00000035

0.02894141 0.18619953 0.97649557 - 0.10460537 0.00250047 - 0.00001299

0.00139326 0.01185603 0.10420645 0.99293464 - 0.05548937 0.00049417 0.00002933 0.00029411 0.00332595 0.05544409 0.99825572 - 0.02000821 0.00000019 0.00000211 0.00002781 0.00061742 0.02000477 0.99979969

J = 11 , 0-

0.87002852 - 0.49205719 0.03049149 -0.00060256 0.00000466 - 0.00000001

0.48843021 0.85191031 - 0.18873477 0.00799583 - 0.00010605 0.00000035

0.06688103 0.17886396 0.97600507 - 0.10460621 0.00250047 -0.00001299

0.00363613 0.01166824 0.10417533 0.99293445 - 0.05548937 0.00049417

0.00008241 0.00029333 0.00332524 0.05544408 0.99825572 -0.02000821 0.00000056 0.00000212 0.00002780 0.00061742 0.02000477 0.99979969

J = 11 , E0.96830083 - 0.24939373 0.01400757 - 0.00024491 0.00000141 0.24886979 0.95842666 - 0.13950431 0.00455020 - 0.00004185

0.02137156 0.13849511 0.98708892 - 0.07756459 0.00124883

0.00076486 0.00633997 0.07742886 0.99630183 - 0.03669692

0.00001043 0.00010023 0.00160391 0.03668300 0.99932566

J = 12 , E+

0.79196912 - 0.59985399 0.11379372 -0.00333088 0.00004187 -0.00000023

0.59945333 0.72858357 - 0.33072919 0.02096818 - 0.00046578 0.00000396

0.11551068 0.32833059 0.92186334 -0.17021355 0.00718459 -0.00009808

0.00988600 0.03919765 0.16654959 0.98011784 - 0.09995174 0.00238973

0.00040652 0.00193382 0.00991687 0.09968046 0.99348035 -0.05438845

0.00000763 0.00004075 0.00023347 0.00306713 0.05435295 0.99831908

0.00000004 0.00000026 0.00000160 0.00002490 0.00059537 0.01987927

J = 12 , 0 +

0.95435523 - 0.29701741 0.03139914 - 0.00091974 0.00001031 - 0.00000004 0.29631200 0.92836913 - 0.22402023 0.01203541 - 0.00021710 0.00000131 0.03742166 0.22269986 0.96538063 - 0.13048621 0.00424099 - 0.00003995 0.00221524 0.01777171 0.12975950 0.98852516 - 0.07522142 0.00121523

0.00006261 0.00059877 0.00563420 0.07512228 0.99649905 - 0.03625169

0.00000072 0.00000778 0.00008548 0.00151779 0.03624020 0.99934195

J = 12 , 0 -

0.82723570 - 0.56008038 0.04460798 - 0.00109244 0.00001143 - 0.00000005

0.55435315 0.80068815 -0.22681657 0.01205281 - 0.00021717 0.00000131 0.09129785 0.21189694 0.96421942 - 0.13048871 0.00424099 - 0.00003995

0.00619231 0.01754377 0.12966709 0.98852444 - 0.07522142 0.00121523

0.00019012 0.00060312 0.00563135 0.07512224 0.99649905 - 0.03625169

0.00000232 0.00000794 0.00008545 0.00151779 0.03624020 0.99934195

0.00000000 - 0.00000001 0.00000034 - 0.00001269

0.00048731 - 0.01988222

0.99980221

49
TABLE I. -TRANSFORMATION COEFFICIENTS-CONTINUED

KAPPA = -0.)r300000 -CONTINl

r

JED

J =12, E0.95687465 -0.28978632 0.02036111 -0.00046175 0.00000395 -0.00000001

0.28893148 0.94208834 -0.17010745 0.00718426 -0.00009808 0.00000034

0.03012612 0.16850385 0.98015449 -0.09995170 0.00238973 -0.00001269

0.00138474 0.00999262 0.09968278 0.99348036 -0.05438845 0.00048731

0.00002793 0.00023471 0.00306718 0.05435295 0.99831908 -0.01988222

0.00000017 0.00000161 0.00002490 0.00059537 0.01987927 0.99980221

J = 13, E+

0.77330401 -0.61528388 0.15295950 -0.00548168 0.00008573 -0.00000063 0.00000000

0.61948223 0.68192452 -0.38773922 0.02963695 -0.00081759 0.00000939 -0.00000004

0.13439105 0.39132567 0.88740980 -0.20295993 0.01069342 -0.00019744 0.00000124

0.01346353 0.05706514 0.19634327 0.97088306 -0.12402258 0.00401248 -0.00003849

0.00067874 0.00353269 0.01465084 0.12352519 0.98950757 -0.07339824 0.00118840

0.00001705 0.00010109 0.00046783 0.00514506 0.07332149 0.99664907 -0.03588728

0.00000018 0.00000117 0.00000582 0.00007551 0.00145152 0.03587754 0.99935514

J = 13, 0+

0.94555816 -0.32274447 0.04187400 -0.00152755 0.00002216 -0.00000013 0.00000000

0.32206715 0.90943591 -0.26248617 0.01731865 -0.00040205 0.00000360 -0.00000001

0.04670742 0.26099110 0.95111489 -0.15823613 0.00662178 -0.00009221 0.00000033

0.00330369 0.02539247 0.15700592 0.98253948 -0.09645880 0.00230424 -0.00001244

0.00011853 0.00109950 0.00878331 0.09626497 0.99387696 -0.05350744 0.00048168

0.00000201 0.00002110 0.00019714 0.00287647 0.05347848 0.99836897 -0.01977717

0.00000001 0.00000013 0.00000130 0.00002280 0.00057783 0.01977458 0.99980430

II

h1

00 0 1

0.78333406 -0.61837234 0.06324486 -0.00186806 0.00002499 -0.00000015 0.00000000

0.61018132 0.74555157 -0.26745116 0.01735893 -0.00040223 0.00000360 -0.00000001

0.11820361 0.24723293 0.94858797 -0.15824281 0.00662179 -0.00009221 0.00000033

0.00970888 0.02535970 0.15676037 0.98253712 -0.09645880 0.00230424 -0.00001244

0.00038162 0.00113012 0.00877359 0.09626483 0.99387696 -0.05350744 0.00048168

0.00000688 0.00002209 0.00019698 0.00287647 0.05347848 0.99836897 -0.01977717

0.00000004 0.00000013 0.00000130 0.00002280 0.00057783 0.01977458 0.99980430

J =13, E0.94361453 -0.32981907 0.02846648 -0.00080794 0.00000935 -0.00000004

0.32853463 0.92241612 -0.20272919 0.01069249 -0.00019744 0.00000124

0.04063585 0.20036810 0.97098078 -0.12402246 0.00401248 -0.00003849

0.00230892 0.01484185 0.12353289 0.98950761 -0.07339824 0.00118840

0.00006265 0.00047197 0.00514529 0.07332149 0.99664907 -0.03588728

0.00000070 0.00000586 0.00007552 0.00145152 0.03587754 0.99935514

J = 14, E'+

0.75659186 -0.62314741 0.19794220 -0.00865596 0.00016399 -0.00000155 0.00000001 -0.00000000

0.63549948 0.62968606 -0.44494907 0.04067381 -0.00135610 0.00001992 -0.00000013 0.00000000

0.15296415 0.45690054 0.84330651 -0.23758374 0.01522570 -0.00036009 0.00000334 -0.00000001

0.01760745 0.07992581 0.22637517 0.95896087 -0.14970510 0.00620819 -0.00008771 0.00000032

0.00105827 0.00603960 0.02066139 0.14884719 0.98416856 -0.09374048 0.00223626 -0.00001225

0.00003365 0.00022207 0.00084839 0.00795044 0.09359217 0.99417800 -0.05278641 0.00047698

0.00000052 0.00000379 0.00001559 0.00017198 0.00273028 0.05276210 0.99840926 -0.01968824

0.00000000 0.00000002 0.00000009 0.00000110 0.00002122 0.00056355 0.01968594 0.99980605

II o +

0.93664839 -0.34605910 0.05410232 -0.00241529 0.00004377 -0.00000036 0.00000000

0.34562993 0.88809151 -0.30208497 0.02403349 -0.00069258 0.00000835 -0.00000004

0.05663727 0.30052496 0.93334905 -0.18772658 0.00975736 -0.00018306 0.00000119

0.00468195 0.03489717 0.18576905 0.97469705 -0.11916819 0.00383689 -0.00003732

0.00020536 0.00187135 0.01291738 0.11881932 0.99021965 -0.07193919 0.00116648

0.00000464 0.00004834 0.00039099 0.00478644 0.07187724 0.99676698 -0.03558352

0.00000005 0.00000052 0.00000466 0.00006836 0.00139900 0.03557509 0.99936602

J = 14, 0 -

0.74082328 -0.66599495 0.08730579 -0.00304872 0.00005028 -0.00000039 0.00000000

0.65536125 0.68820556 -0.31031027 0.02412046 -0.00069307 0.00000835 -0.00000004

0.14655753 0.28556794 0.92823986 -0.18774282 0.00975741 -0.00018306 0.00000119

0.01424454 0.03564888 0.18517490 0.97469007 -0.11916820 0.00383689 -0.00003732

0.00068999 0.00198793 0.01288828 0.11881877 0.99021965 -0.07193919 0.00116648

0.00001668 0.00005265 0.00039033 0.00478642 0.07187724 0.99676698 -0.03558352

0.00000017 0.00000057 0.00000466 0.00006836 0.00139900 0.03557509 0.99936602

50
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0. r

~

800000 -CONTINUED

J = 14, E -

0.92875734 - 0.36867768 0.03853290 - 0.00133475 0.00001980 - 0.00000013 0.00000000

0.36688723 0.89940889 - 0.23711922 0.01522332 - 0.00036009 0.00000334 - 0.00000001 0.05282546 0.23387021 0.95919974 - 0.14970472 0.00620819 - 0.00008771 0.00000032

0.00360809 0.02108064 0.14887006 0.98416869 - 0.09374048 0.00223626 - 0.00001225

0.00012462 0.00085954 0.00795133 0.09359218 0.99417800 - 0.05278641 0.00047698

0.00000204 0.00001572 0.00017199 0.00273028 0.05276210 0.99840926 - 0.01968824

0.00000001 0.00000009 0.00000110 0.00002122 0.00056355 0.01968594 0.99980605

J = 15 , E +

0.74154403 ,0.62381006 0.24657473 -0.01320107 0.00029688 - 0.00000346 0.00000002 - 0.00000000

0.64834871 - 0.57223162 - 0.49922168 0.05447954 - 0.00215008 0.00003895 - 0.00000033 0.00000000

0.17104835 - 0.52127425 0.78968024 - 0.27382845 0.02093651 - 0.00061183 0.00000761 -0.00000004

0.02228036 - 0.10765928 0.25610939 0.94389869 - 0.17690101 0.00907276 - 0.00017213 0.00000114

0.00156271 - 0.00971715 0.02810085 0.17548875 0.97723533 -0.11538894 0.00369781 - 0.00003636

0.00006061 -0.00044234 0.00143309 0.01159934 0.11512483 0.99075895 - 0.07074507 0.00114824

0.00000125 - 0.00001016 0.00003547 0.00033717 0.00451221 0.07069349 0.99686208 - 0.03532641

0.00000001 - 0.00000010 0.00000037 0.00000389 0.00006299 0.00135636 0.03531900 0.99937517

J = 15 , 0 +

0.92775163 - 0.36693676 0.06797712 - 0.00366580 0.00008090 - 0.00000085 0.00000000 - 0.00000000

0.36706938 0.86438073 - 0.34213531 0.03237577 - 0.00112879 0.00001736 - 0.00000012 0.00000000

0.06705497 0.34064720 0.91181361 - 0.21879074 0.01376788 -0.00032968 0.00000314 - 0.00000001

0.00636501 0.04640959 0.21584089 0.96470263 - 0.14329152 0.00589168 - 0.00008415 0.00000032

0.00033213 0.00300044 0.01818486 0.14270204 0.98534637 -0.09156473 0.00218093 -0.00001208 0.00000948 0.00009876 0.00070332 0.00734304 0.09144616 0.99441422 - 0.05218542 0.00047300

0.00000013 0.00000155 0.00001232 0.00015407 0.00261477 0.05216455 0.99844247 - 0.01961198

0.00000000 0.00000001 0.00000007 0.00000096 0.00001998 0.00055169 0.01960991 0.99980755

J = 15 , 0 -

0.70119992 0.70316822 0.11768680 -0.00478867 0.00009481 -0.00000095 0.00000000 - 0.00000000 0.69074016 - 0.62919065 - 0.35487489 0.03255293 - 0.00113000 0.00001737 - 0.00000012 0.00000000 0.17550728 - 0.32749715 0.90214622 - 0.21882719 0.01376801 - 0.00032968 0.00000314 - 0.00000001 0.01981328 -0.04907179 0.21451686 0.96468374 -0.14329154 0.00589168 -0.00008415 0.00000032

0.00115037 - 0.00333878 0.01810672 0.14270026 0.98534636 - 0.09156473 0.00218093 - 0.00001208

0.00003530 - 0.00011351 0.00070104 0.00734297 0.09144615 0.99441422 - 0.05218542 0.00047300

0.00000053 -0.00000182 0.00001229 0.00015407 0.00261477 0.05216455 0.99844247 - 0.01961198 0.00000000 -0.00000001 0.00000007 0.00000096 0.00001998 0.00055169 0.01960991 0.99980755

J = 15, E -

0.91261057 - 0.40566402 0.05073672 -0.00210581 0.00003863 - 0.00000033 0.00000000

0.40334189 0.87313899 - 0.27295631 0.02093084 - 0.00061181 0.00000761 -0.00000004

0.06654784 0.26875181 0.94444052 - 0.17690000 0.00907276 -0.00017213 0.00000114

0.00534744 0.02890240 0.17555060 0.97723577 - 0.11538894 0.00369781 - 0.00003636

0.00022652 0.00145750 0.01160233 0.11512486 0.99075895 - 0.07074507 0.00114824

0.00000495 0.00003581 0.00033724 0.00451221 0.07069349 0.99686208 - 0.03532641 0.00000005 0.00000037 0.00000389 0.00006299 0.00135636 0.03531900 0.99937517

51
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

1 KAPPA = -0.900000 J =2, E +

0.99975379

0.02218938

J =3, E+

0.99877555

0.04947116

J = 3, 0+

0.99992586

0.01217648

J = 3, 0-

0.99991994

0.01265377

J =4, E+

0.99637300

0.08509016 0.00072024

J = 4, 0 +

0.99969670

0.02462743

J =4, O0.99965528

0.02625511

J = 4, E0.99993610

0.01130446

J = 5, E +

0.99173973 0.12824893

0.00212687 7=5, 0 +

0.99921755

0.03955021 0.00027883

J =5, 0-

0.99905231 0.04352440

0.00031682

7 = 5, E0.99975379

0.02218938

7 = 6, E +

0.98413040

0.17738626

0.00463264

0.00002671

7 = 6 , 0+

0.99838916

0.05673185

0.00076062

7 = 6, 0 -

0.99789591 0.06482992 0.00090889

-0.02218938

0.99975379

-0.04947116

0.99877555

-0.01217648

0.99992586

-0.01265377

0.99991994

-0.08509286

0.99630905

0.01129110

-0.02462743

0.99969670

-0.02625511

0.99965528

-0.01130446

0.99993610

-0.12826449

0.99149303 0.02213128

-0.03955092

0.99915974

0.01074889

-0.04352529

0.99899451 0.01074800

-0.02218938

0.99975379

-0.17743925

0.98351336

0.03488182 0.00022792

-0.05673549

0.99817722

0.02057461

-0.06483488

0.99768398

0.02056955

0.00024318 -0.01131143

0.99993599

0.00072954 -0.02222127

0.99975281

0.00014652 -0.01075151

0.99994219

0.00015130 -0.01075161

0.99994219

0.00163135 -0.03515075

0.99932642

0.01041501

0.00040800 -0.02058463

0.99978803

0.00042674 -0.02058520

0.99978801

-0.00000283

0.00013721 -0.01041663

0.99994574

52
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.

1900000 -CONTIN

r

UED

J = 6, E -

0.99938555 -0.03505012 0.00013714

0.03504965 0.99933128 -0.01041663

0.00022806 0.01041503 0.99994574

J = 7, E +

0.97309307 -0.23039122 0.00312402 -0.00001021

0.23025443 0.97183454 -0.05020350 0.00036876

0.00853024 0.04956954 0.99854168 -0.01961138

0.00009233 0.00061152 0.01960510 0.99980761

II ©+

0.99711844 -0.07585567 0.00085875 -0.00000178

0.07584443 0.99660986 -0.03188104 0.00013004

0.00156252 0.03185397 0.99943934 -0.01019283

0.00000784 0.00019495 0.01019180 0.99994804

II © 1

0.99589518 -0.09050946 0.00091174 -0.00000183

0.09049243 0.99538664 -0.03188323 0.00013004

0.00197820 0.03183453 0.99943922 -0.01019283

0.00001022 0.00019488 0.01019180 0.99994804 -

II 1

0.99875185 -0.04994596 0.00036844

0.04994357 0.99855948 -0.01961137

0.00061160 0.01960530 0.99980761

J =8, E +

0.95866195 -0.28449601 0.00541162 -0.00002701 0.00000003

0.28420252 0.95639040 -0.06742223 0.00075582 -0.00000168

0.01400511 0.06616533 0.99726074 -0.02995010 0.00012525

0.00023065 0.00125168 0.02993235 0.99950076 -0.01003271

0.00000101 0.00000589 0.00017529 0.01003196 0.99994966

J = 8, 0+

0.99532812 -0.09653751 0.00156227 -0.00000605

0.09651057 0.99432659 -0.04472389 0.00033953

0.00276414 0.04466411 0.99881827 -0.01896170

0.00002567 0.00050881 0.01895789 0.99982015

J = 8, 0-

0.99266984 -0.12084590 0.00168738 -0.00000628

0.12080004 0.99166850 -0.04473066 0.00033953

0.00373218 0.04460499 0.99881776 -0.01896170

0.00003600 0.00050841 0.01895789 0.99982015

J = 8, E0.99776277 -0.06684967 0.00075474 -0.00000168

0.06684225 0.99731394 -0.02995006 0.00012525

0.00124945 0.02993325 0.99950077 -0.01003271

0.00000584 0.00017529 0.01003196 0.99994966

J =9, E+

0.94139152 -0.33720297 0.00872737 -0.00006040 0.00000014

0.33665503 0.93761391 -0.08684315 0.00134842 -0.00000554

0.02109918 0.08467191 0.99531985 -0.04151843 0.00032024

0.00047933 0.00223273 0.04147636 0.99896564 -0.01849727

0.00000384 0.00001943 0.00044805 0.01849460 0.99982886

J =9, 0+

0.99296449 -0.11838424 0.00258712 -0.00001522 0.00000002

0.11832941 0.99121242 -0.05912387 0.00067893 -0.00000160

0.00443499 0.05900915 0.99783604 -0.02866134 0.00012181

0.00006191 0.00101694 0.02865107 0.99953980 -0.00991247

0.00000024 0.00000448 0.00016237 0.00991189 0.99995086

53
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0 . (

J =9, 0-

100000 -CONTINlJED

0.98774319 - 0.15606174 0.00284889 -0.00001597 0.00000002

0.15595560 0.98599171 - 0.05914170 0.00067895 - 0.00000160

0.00642072 0.05885620 0.99783427 - 0.02866134 0.00012181 0.00009395 0.00101539 0.02865104 0.99953980 -0.00991247

0.00000038 0.00000448 0.00016237 0.00991189 0.99995086

J = 9 , E0.99632046 - 0.08569551 0.00134537 -0.00000554

0.08567735 0.99545744 - 0.04151827 0.00032024

0.00221869 0.04147958 0.99896565 - 0.01849727

0.00001912 0.00044808 0.01849460 0.99982886

J = 10 , E+

0.92219646 - 0.38649178 0.01333341 -0.00012077 0.00000042 - 0.00000000

0.38557734 0.91627054 - 0.10850604 0.00220242 - 0.00001357 0.00000002 0.02971594 0.10516197 0.99252486 -0.05433171 0.00062883 - 0.00000154

0.00087804 0.00365443 0.05424291 0.99813528 - 0.02774038 0.00011921 0.00001052 0.00004787 0.00087946 0.02773336 0.99956674 - 0.00981885 0.00000004 0.00000018 0.00000370 0.00015325 0.00981838 0.99995179

J = 10, 0+

0.99000193 - 0.14099694 0.00400575 - 0.00003259 0.00000009

0.14089785 0.98717313 -0.07507065 0.00118564 - 0.00000513

0.00663053 0.07487273 0.99639318 - 0.03937832 0.00030650

0.00012641 0.00177475 0.03935505 0.99905888 - 0.01814873

0.00000090 0.00001434 0.00040853 0.01814671 0.99983525

J = 10 , 0-

0.98055159 - 0.19620975 0.00450722 - 0.00003456 0.00000009

0.19598932 0.97772435 - 0.07511246 0.00118571 - 0.00000513

0.01033079 0.07452316 0.99638789 - 0.03937832 0.00030650

0.00020848 0.00176993 0.03935493 0.99905888 - 0.01814873

0.00000154 0.00001431 0.00040853 0.01814671 0.99983525

J = 10, E0.99432270 - 0.10638399 0.00219495 - 0.00001356 0.00000002

0.10634568 0.99284355 - 0.05433123 0.00062883 - 0.00000154

0.00360083 0.05425269 0.99813533 - 0.02774038 0.00011921 0.00004652 0.00087956 0.02773336 0.99956674 - 0.00981885

0.00000017 0.00000370 0.00015325 0.00981838 0.99995179

J = 11 , E +

0.90208971 - 0.43110682 0.01951969 - 0.00022265 0.00000105 - 0.00000000

0.42971974 0.89318819 - 0.13245518 0.00337990 - 0.00002843 0.00000008

0.03966051 0.12778878 0.98864506 - 0.06838743 0.00108080 - 0.00000483

0.00146431 0.00563772 0.06821482 0.99693538 - 0.03784922 0.00029623

0.00002384 0.00010119 0.00151068 0.03783361 0.99912298 - 0.01787750

0.00000015 0.00000068 0.00001159 0.00038077 0.01787590 0.99984014

J = 11 , 0 +

0.98644387 - 0.16399320 0.00589281 -0.00006271 0.00000025 - 0.00000000

0.16383007 0.98213661 - 0.09254065 0.00190054 - 0.00001225 0.00000002

0.00938899 0.09222703 0.99437992 - 0.05112965 0.00059345 - 0.00000150

0.00023087 0.00284250 0.05108277 0.99832396 - 0.02704940 0.00011718

0.00000244 0.00003424 0.00079081 0.02704418 0.99958644 - 0.00974389

0.00000001 0.00000012 0.00000321 0.00014646 0.00974350 0.99995252

J =11, 0-

0.97048472 - 0.24106697 0.00679041 - 0.00006729 0.00000026 - 0.00000000

0.24064616 0.96618086 - 0.09263019 0.00190073 - 0.00001225 0.00000002

0.01576877 0.09150543 0.99436588 -0.05112966 0.00059345 - 0.00000150

0.00041473 0.00282979 0.05108234 0.99832396 - 0.02704940 0.00011718

0.00000456 0.00003415 0.00079080 0.02704418 0.99958644 - 0.00974389

0.00000001 0.00000012 0.00000321 0.00014646 0.00974350 0.99995252

54
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.ST>00000 —CONTINl\ed r

J = 11 , E -

0.99166743 -0.12878041 0.00336334 - 0.00002838 0.00000008 0.12870770 0.98932123 - 0.06838615 0.00108080 - 0.00000483

0.00547965 0.06824095 0.99693555 - 0.03784922 0.00029623

0.00009651 0.00151107 0.03783361 0.99912298 - 0.01787750

0.00000065 0.00001159 0.00038078 0.01787590 0.99984014

J = 12 , E +

0.88195662 - 0.47052159 0.02760101 - 0.00038556 0.00000236 - 0.00000001 0.00000000

0.46859129 0.86902288 - 0.15873539 0.00494933 - 0.00005372 0.00000022 - 0.00000000

0.05069091 0. 1527.7182 0.98340576 - 0.08367431 0.00170833 - 0.00001133 0.00000002

0.00227076 0.00833040 0.08335870 0.99528434 - 0.04884190 0.00056715 - 0.00000146

0.00004747 0.00019393 0.00238580 0.04881097 0.99845324 - 0.02651179 0.00011555

0.00000045 0.00000195 0.00002717 0.00072890 0.02650770 0.99960145 - 0.00968253

0.00000000 0.00000001 0.00000009 0.00000288 0.00014122 0.00968218 0.99995312

J = 12 , 0+

0.98232033 - 0.18702269 0.00832318 - 0.00011166 0.00000060 - 0.00000000

0.18677412 0.97605098 - 0.11149750 0.00286830 - 0.00002511 0.00000007

0.01272997 0.11103438 0.99167693 - 0.06391531 0.00100729 - 0.00000461 0.00038845 0.00428541 0.06382868 0.99727642 - 0.03670205 0.00028826 0.00000554 0.00007011 0.00134187 0.03669065 0.99916971 - 0.01766043 0.00000003 0.00000044 0.00000988 . 0.00036026 0.01765911 0.99984400

J = 12 , 0 -

0.95696957 - 0.29002120 0.00984499 - 0.00012137 0.00000063 - 0.00000000 0.28927220 0.95070601 -0.11167560 0.00286878 - 0.00002511 0.00000007 0.02302722 0.10967068 0.99164303 - 0.06391534 0.00100729 - 0.00000461 0.00075974 0.00425611 0.06382737 0.99727642 - 0.03670205 0.00028826 0.00001136 0.00006984 0.00134185 0.03669065 0.99916971 - 0.01766043 0.00000007 0.00000044 0.00000988 0.00036026 0.01765911 0.99984400

II c4 1

0.98825832 - 0.15271323 0.00491536 - 0.00005361 0.00000022 - 0.00000000

0.15258587 0.98474046 - 0.08367119 0.00170832 - 0.00001133 0.00000002

0.00793802 0.08342186 0.99528485 - 0.04884190 0.00056715 - 0.00000146

0.00018025 0.00238701 0.04881098 0.99845324 - 0.02651179 0.00011555

0.00000179 0.00002718 0.00072890 0.02650770 0.99960145 - 0.00968253

0.00000001 0.00000009 0.00000288 0.00014122 0.00968218 0.99995312

J = 13 , E +

0.86244142 - 0.50473475 0.03791070 - 0.00063505 0.00000483 - 0.00000002 0.00000000 0.50226489 0.84413807 - 0.18738219 0.00698566 - 0.00009428 0.00000053 - 0.00000000

0.06255972 0.18036555 0.97647999 - 0.10017435 0.00254624 - 0.00002283 0.00000007 0.00332366 0.01191184 0.09962385 0.99309330 - 0.06072012 0.00095297 - 0.00000445 0.00008589 0.00034675 0.00355185 0.06066373 0.99750928 - 0.03580959 0.00028190 0.00000109 0.00000473 0.00005468 0.00122449 0.03580075 0.99920526 - 0.01748276

0.00000001 0.00000003 0.00000033 0.00000873 0.00034448 0.01748164 0.99984713

J = 13 , 0+

0.97768284 -0.20977836 0.01136970 - 0.00018729 0.00000129 - 0.00000000 0.00000000

0.20942423 0.96888044 - 0.13189033 0.00413728 - 0.00004653 0.00000020 -0.00000000

0.01665472 0.13124634 0.98815634 - 0.07772759 0.00157437 - 0.00001066 0.00000002

0.00061321 0.00617314 0.07757780 0.99585244 - 0.04712559 0.00054685 - 0.00000144

0.00001118 0.00012980 0.00209647 0.04710330 0.99854725 - 0.02608158 0.00011422 0.00000009 0.00000121 0.00002282 0.00068335 0.02607825 0.99961327 - 0.00963135 0.00000000 0.00000000 0.00000007 0.00000263 0.00013705 0.00963106 0.99995361

J = 13 , O -

0.93959806 - 0.34199994 0.01383754 - 0.00020645 0.00000137 - 0.00000000 0.00000000

0.34074636 0.93080169 - 0.13222330 0.00413837 - 0.00004654 0.00000020 - 0.00000000 0.03233730 0.12886763 0.98808065 - 0.07772768 0.00157437 - 0.00001066 0.00000002

0.00130157 0.00611324 0.07757425 0.99585242 -0.04712559 0.00054685 - 0.00000144

0.00002503 0.00012915 0.00209641 0.04710330 ' 0.99854725 - 0.02608158 0.00011422

0.00000022 0.00000121 0.00002282 0.00068335 0.02607825 0.99961327 -0.00963135

0.00000000 0.00000000 0.00000007 0.00000263 0.00013705 0.00963106 0.99995361

55
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0 .<100000 —CONTINlJED

J I 13 , E0.98401083 - 0.17797409 0.00692026 - 0.00009402 0.00000053 - 0.00000000

0.17776498 0.97895844 - 0.10016735 0.00254623 - 0.00002283 0.00000007 0.01105406 0.09976446 0.99309467 - 0.06072012 0.00095297 - 0.00000445

0.00031172 0.00355522 0.06066378 0.99750928 - 0.03580959 0.00028190

0.00000417 0.00005472 0.00122449 0.03580075 0.99920526 -0.01748276

0.00000002 0.00000033 0.00000873 0.00034448 0.01748164 0.99984713

J — 14 , E-\- 0.84393794 - 0.53403020 0.05078859 -0.00100377 0.00000925 - 0.00000004 0.00000000 - 0.00000000

0.53114626 0.81859121 -0.21840433 0.00957049 -0.00015636 0.00000112 - 0.00000000 0.00000000 0.07503876 0.21081842 0.96748121 - 0.11786305 0.00363205 -0.00004167 0.00000019 -0.00000000

0.00464269 0.01659568 0.11693837 0.99026621 -0.07347858 0.00147589 - 0.00001014 0.00000002

0.00014428 0.00058840 0.00505837 0.07338215 0.99623896 - 0.04579034 0.00053071 - 0.00000141 0.00000233 0.00001031 0.00009971 0.00189586 0.04577327 0.99861864 - 0.02572952 0.00011311 0.00000002 0.00000008 0.00000088 0.00001990 0.00064848 0.02572671 0.99962282 - 0.00958804

0.00000000 0.00000000 0.00000000 0.00000006 0.00000245 0.00013366 0.00958777 0.99995403

J = 14, 0+

0.97259794 - 0.23200244 0.01510067 -0.00029946 0.00000256 - 0.00000001 0.00000000

0.23152792 0.96060029 - 0.15365132 0.00575935 - 0.00008026 0.00000047 - 0.00000000

0.02114781 0.15280150 0.98368336 - 0.09255331 0.00232300 -0.00002117 0.00000007

0.00091944 0.00857896 0.09230776 0.99398312 -0.05832284 0.00091123 - 0.00000431 0.00002063 0.00022350 0.00309177 0.05828275 0.99767818 - 0.03509546 0.00027669

0.00000023 0.00000281 0.00004532 0.00113849 0.03508832 0.99923322 - 0.01733466

0.00000000 0.00000001 0.00000026 0.00000790 0.00033199 0.01733369 0.99984971

II o 1

0.91827040 - 0.39549972 0.01895609 - 0.00033511 0.00000274 - 0.00000001 0.00000000

0.39351633 0.90626774 -0.15424160 0.00576172 - 0.00008026 0.00000047 - 0.00000000

0.04381716 0.14895286 0.98352506 - 0.09255354 0.00232300 - 0.00002117 0.00000007

0.00210557 0.00846993 0.09229890 0.99398308 - 0.05832284 0.00091123 - 0.00000431 0.00005018 0.00022221 0.00309156 0.05828275 0.99767818 - 0.03509546 0.00027669

0.00000060 0.00000281 0.00004532 0.00113849 0.03508832 0.99923322 - 0.01733466

0.00000000 0.00000001 0.00000026 0.00000790 0.00033199 0.01733369 0.99984971

II i

—

tn 1

0.97885842 - 0.20432047 0.00945093 - 0.00015577 0.00000112 -0.00000000 0.00000000

0.20399514 0.97184595 - 0.11784836 0.00363202 -0.00004167 0.00000019 -0.00000000

0.01489705 0.11723016 0.99026960 - 0.07347858 0.00147589 - 0.00001014 0.00000002

0.00050769 0.00506680 0.07338230 0.99623896 - 0.04579034 0.00053071 - 0.00000141 0.00000868 0.00009983 0.00189586 0.04577327 0.99861864 - 0.02572952 0.00011311 0.00000007 0.00000088 0.00001990 0.00064848 0.02572671 0.99962282 - 0.00958804

0.00000000 0.00000000 0.00000006 0.00000245 0.00013366 0.00958777 0.99995403

J = 15 , E+

0.82663728 -0.55878282 0.06655993 - 0.00153270 0.00001676 - 0.00000009 0.00000000 - 0.00000000

0.55578795 0.79218351 - 0.25175651 0.01279221 - 0.00024786 0.00000219 - 0.00000001 0.00000000

0.08792929 0.24432372 0.95596022 - 0.13670899 0.00500579 - 0.00007087 0.00000043 -0.00000000

0.00624109 0.02262865 0.13520379 0.98669983 - 0.08710745 0.00215963 - 0.00001990 0.00000006

0.00022838 0.00095782 0.00695650 0.08695064 0.99458634 - 0.05645771 0.00087816 - 0.00000420

0.00000452 0.00002077 0.00016937 0.00277315 0.05642731 0.99780617 - 0.03451107 0.00027237

0.00000005 0.00000023 0.00000202 0.00003907 0.00107290 0.03450512 0.99925576 - 0.01720931 0.00000000 0.00000000 0.00000001 0.00000022 0.00000728 0.00032185 0.01720846 0.99985187

J = 15 , 0 +

0.96714037 -0.25348773 0.01957705 - 0.00046029 0.00000477 - 0.00000002 0.00000000 - 0.00000000

0.25288806 0.95119217 —0. 1766929'| 0.00778973 - 0.00013100 0.00000098 -0.00000000 0.00000000

0.02617983 0.17562244 0.97811841 - 0.10837422 0.00328347 - 0.00003815 0.00000018 - 0.00000000

0.00132106 0.01157848 0.10798909 0.99159462 - 0.07029014 0.00140052 -0.00000972 0.00000002

0.00003552 0.00036402 0.00436726 0.07022244 0.99651858 - 0.04472192 0.00051757 - 0.00000139

0.00000051 0.00000583 0.00008165 0.00174945 0.04470825 0.99867467 - 0.02543607 0.00011216

0.00000000 0.00000004 0.00000069 0.00001782 0.00062096 0.02543366 0.99963069 - 0.00955089

0.00000000 0.00000000 0.00000000 0.00000005 0.00000231 0.00013085 0.00955065 0.99995438

56
TABLE I. -TRANSFORMATION COEFFICIENTS -CONTINUED

KAPPA = -0.900000 -CONTINUED

J = 15 , 0-

0.89329538

0.44577359 0.05743496

0.00323821 0.00009309

0.00000141 0.00000001 0.00000000

0.44875087

0.87729743 0.16982850

0.01140249

0.00036211 0.00000584

0.00000004

0.00000000

0.02541155 - 0.17769171 0.97780552

0.10796853

0.00436667 0.00008164

0.00000069

0.00000000

- 0.00052349 0.00779454 - 0.10837477

0.99159449

0.07022243

0.00174945

0.00001782

0.00000005

0.00000515 - 0.00013102

0.00328347 - 0.07029014

0.99651858

0.04470825 0.00062096

0.00000231

- 0.00000003 0.00000098 - 0.00003815

0.00140052 -0.04472192

0.99867467 0.02543366

0.00013085

0.00000000 - 0.00000000

0.00000018 - 0.00000972

0.00051757 - 0.02543607

0.99963069

0.00955065

-0.00000000

0.00000000 - 0.00000000

0.00000002 -0.00000139 0.00011216 - 0.00955089

0.99995438

J = 15 , E0.97275798

0.23099812 0.01952349

0.00078759 0.00001658

0.00000018

0.00000000

- 0.23148115

0.96329300

0.13577327 0.00697598

0.00016971 0.00000202

0.00000001

0.01258309 -0.13667993 0.98670770

0.08695107 0.00277316

0.00003907

0.00000022

- 0.00024665

0.00500572 - 0.08710745 0.99458634

0.05642731 0.00107290

0.00000728

0.00000218 - 0 . 0000708?

0.00215963 - 0.05645771 0.99780617

0.03450512

0.00032185

- 0.00000001 0.00000043 - 0.00001990 0.00087816 - 0.03451107 0.99925576

0.01720846

0.00000000 - 0.00000000

0.00000006 - 0.00000420

0.00027237 - 0.01720931 0.99985187

57
TABLE II. -EXPECTATION VALUES

KAPPA = 0.000000

2 0 . 2 -3.0940108-001 2.6794919-001 1.0717968+000 4.2871871+000

2 1 , 2 0.0000000+000 1.0000000+000 1.0000000+000 1.0000000+000

2 1 . 1 2.0000000+000 1.0000000+000 1.0000000+000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.3094011+000 3.7320508+000 1.4928203+001 5.9712813+001

3 0 . 3 -1.2659863+000 7.7525513-001 3.1010205+000 1.2404082+001

3 1 . 3 -1.1639778+000 1.1270167+000 2.2701665+000 1.2558515+001

3 1 , 2 2.7340137+000 1.3257654+000 4.2576539+000 3.0644650+001

3 2. 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2. 1 5.2659863+000 3.2247449+000 1.2898979+001 5.1595918+001

3 3, 1 9.1639778+000 8.8729833+000 7.9729833+001 7.1744148+002

3 3, 0 9.2659863+000 8.6742346+000 7.7742346+001 6.9935535+002

4 0 . 4 -2.9481367+000 1.2504359+000 5.5044184+000 3.0060469+001

4 1 , 4 -2.9205543+000 1.3755878+000 4.7558782+000 3.5178492+001

4 1 . 3 3.1389983+000 2.3542487+000 1.4542487.+001 1.2423663+002

4 2. 3 3.7461123+000 4.2435807+000 2.0871613+001 1.4584310+002

4 2. 2 6.6666667+000 3.0769231+000 1.6923077+001 1.4153846+002

4 3, 2 9.5872210+000 8.6244122+000 7.7244122+001 6.9482151+002

4 3, 1 1.0194335+001 7.6457513+000 6.7457513+001 6.0576337+002

4 4, 1 1.6253888+001 1.5756419+001 2.5112839+002 4.0141569+003

4 4, 0 1.6281470+001 1.5672641+001 2.4957250+002 3.9884011+003

5 0 , 5 -5.3255289+000 1.6551182+000 8.5166331+000 6.4405098+001

5 1 , 5 -5.3188337+000 1.6926929+000 8.1048786+000 7.0263294+001

5 1 , 4 2.8494260+000 3.8520524+000 3.0874218+001 3.0791605+002

5 2. 4 3.0717968+000 4.8038476+000 3.2076952+001 3.3409279+002

5 2, 3 8.1749548+000 3.7669684+000 3.4931898+001 4.5755198+002

5 3, 3 1.0000000+001 8.6363636+000 8.5000000+001 9.6318182+002

5 3, 2 1.1825045+001 6.5045362+000 6.3050838+001 7.4710445+002

5 4, 2 1.6928203+001 1.5196152+001 2.3992305+002 3.8259072+003

5 4, 1 1.7150574+001 1.4577913+001 2.2855147+002 3.6380429+003

5 5, 1 2.5318834+001 2.4670943+001 6.1389512+002 1.5321555+004

5 5, 0 2.5325529+001 2.4643411+001 6.1307494+002 1.5299979+004

6 0 , 6 -8.3785479+000 2.0267914+000 1.2325784+001 1.1864482+002

6 1 . 6 -8.3770265+000 2.0369551+000 1.2150133+001 1.2268329+002

6 1 . 5 1.7797981+000 5.2634200+000 4.9948488+001 6.0997131+002

6 2, 5 1.8475661+000 5.6308236+000 4.9154299+001 6.4207506+002

6 2. 4 9.3237557+000 5.6821144+000 7.5782809+001 1.2137881+003

6 3, 4 1.0224593+001 9.1035704+000 1.0812722+002 1.6516280+003

6 3. 3 1.4000000+001 6.1428571+000 7.8142857+001 1.3690000+003

6 4, 3 1.7775407+001 1.4766681+001 2.4330711+002 4.3521198+003

6 4, 2 1.8676244+001 1.2696481+001 2.0469701+002 3.6749627+003

6 5, 2 2.6152434+001 2.3859474+001 5.8672265+002 1.4580689+004

6 5. 1 2.6220202+001 2.3593723+001 5.7890865+002 1.4376029+004

6 6. 1 3.6377027+001 3.5602495+001 1.2755386+003 4.5821805+004

6 6. 0 3.6378548+001 3.5594613+001 1.2751944+003 4.5808604+004

7 0 , 7 -1.2100774+001 2.3869927+000 1.6946509+001 1.9550936+002

7 1 , 7 -1.2100444+001 2.3895537+000 1.6882621+001 1.9763453+002

7 1 , 6 -1.8450669-002 6.4918548+000 7.1735252+001 1.0621657+003

7 2, 6 -4.6169513-011 6.6122449+000 7.0897959+001 1.0902857+003

7 2, 5 9.7226138+000 8.3112344+000 1.3520968+002 2.5480922+003

7 3, 5 1.0074264+001 1.0090812+001 1.4878141+002 2.8629010+003

7 3. 4 1.6306957+001 7.2426776+000 1.3085437+002 3.0021356+003

7 4, 4 1.8666667+001 1.4775510+001 2.7191837+002 5.9474286+003

7 4, 3 2.1026376+001 1.0782242+001 1.9465473+002 4.4464522+003

7 5, 3 2.7259069+001 2.2979415+001 5.7501046+002 1.5220110+004

7 5, 2 2.7610720+001 2.1727314+001 5.3820922+002 1.4222897+004

7 6, 2 3.7333333+001 3.4612245+001 1.2251837+003 4.3778286+004

7 6, 1 3.7351784+001 3.4519531+001 1.2211891+003 4.3625946+004

7 7, 1 4.9433777+001 4.8540219+001 2.3673255+003 1.1572335+005

7 7, 0 4.9434107+001 4.8538154+001 2.3672012+003 1.1571680+005

58
112

23

3

4

4

5

56

6

7

78

8

0 . 1

12 , 2 . 3 , 3 . 4 . 4 . 5 . 5 . 6 . 6 . 7 . 7 . 8 . 8 . 9 . 9 .

0 . 1 . 1.2 . 2 . 3 . 3 . 4 . 4 , 5 , 5 , 6 . 6 , 7 , 7 , 8 , 8 . 9 , 9 , 0 . 0 ,

0 , 1,1 , 2 , 2 ,

TABLE II. -EXPECTATION VALUES -CONTINUED

-CONTINUED -1 . 6490437+001 -1 . 6490367+001 -2 . 5066078+000 -2 . 5019438+000

9 . 2852272+000

9 . 4009507+000

1 . 8220749+001

1 . 9412527+001

2 . 4000000+001

2 . 8587473+001

2 . 9779251+001

3 . 8599049+001

3 . 8714773+001

5 . 0501944+001

5 . 0506608+001

6 . 4490367+001

6 . 4490437+001 -2 . 1547056+001 -2 . 1547041+001 -5 . 6695551+000 -5 . 6684370+000

8 . 0820775+000

8 . 1161586+000

1 . 9327178+001

1 . 9813607+001

2 . 7122601+001

3 . 0000000+001

3 . 2877399+001

4 . 0186393+001

4 . 0672822+001

5 . 1883841+001

5 . 1917922+001

6 . 5668437+001

6 . 5669555+001

8 . 1547041+001

8 . 1547056+001 -2 . 7270487+001 -2 . 7270484+001 -9 . 5023107+000 -9 . 5020531+000

6 . 1704504+000

6 . 1797510+000

1 . 9540242+001

1 . 9709382+001

2 . 9817571+001

3 . 1298062+001

3 . 6666667+001

4 . 2035272+001

4 . 3515763+001

5 . 3623951+001

5 . 3793091+001

6 . 7153582+001

6 . 7162883+001

8 . 2835386+001

8 . 2835644+001

1 . 0060382+002

1 . 0060382+002 -3 . 3660674+001 -3 . 3660674+001 -1 . 4003230+001 -1 . 4003172+001

3 . 5753662+000

2 . 7435085+000

2 . 7441213+000

7 . 6233266+000

7 . 6588213+000

1 . 0775661+001

1 . 1500353+001

1 . 0162279+001

1 . 5462579+001

1 . 0153846+001

2 . 2343788+001

1 . 8831156+001

3 . 3398927+001

3 . 2847821+001

4 . 7411737+001

4 . 7383238+001

6 . 3479672+001

6 . 3479163+001

3 . 0987678+000

3 . 0989088+000

8 . 7161848+000

8 . 7258979+000

1 . 2906158+001

1 . 3158401+001

1 . 4059089+001

1 . 6882980+001

1 . 1706235+001

2 . 2339056+001

1 . 6022333+001

3 . 2162569+001

3 . 0068322+001

4 . 5984163+001

4 . 5783041+001

6 . 2228553+001

6 . 2220517+001

8 . 0419471+001

8 . 0419351+001

3 . 4535082+000

3 . 4535397+000

9 . 7944710+000

9 . 7969843+000

1 . 4845302+001

1 . 4924439+001

1 . 7693538+001

1 . 8889436+001

1 . 5739341+001

2 . 3246595+001

1 . 5080880+001

3 . 1299503+001

2 . 6012985+001

4 . 4325363+001

4 . 3383175+001

6 . 0654812+001

6 . 0589626+001

7 . 9050064+001

7 . 9047937+001

9 . 9359265+001

9 . 9359238+001

3 . 8079732+000

3.8079801 +000

1 . 0866758+001

1 . 0867380+001

1 . 6701023+001

2 . 2351317+001

2 . 2330511+001

9 . 7004172+001

9 . 6539117+001

2 . 0225471+002

2 . 0547508+002

2 . 3779749+002

3 . 3428652+002

2 . 2984615+002

5 . 9444003+002

4 . 8913800+002

1 . 1887053+003

1 . 1651191+003

2 . 2857544+003

2 . 2840603+003

4 . 0444691+003

4 . 0444287+003

2 . 8520202+001

2 . 8513958+001

1 . 2604630+002

1 . 2584626+002

2 . 7522009+002

2 . 7518676+002

3 . 8618372+002

4 . 3333003+002

3 . 4616276+002

6 . 6251073+002

4 . 6584198+002

1 . 1827259+003

1 . 0926297+003

2 . 2165865+003

2 . 2047381+003

3 . 9220978+003

3 . 9214672+003

6 . 4862020+003

6 . 4861899+003

3 . 5443991+001

3 . 5442231+001

1 . 5889053+002

1 . 5881657+002

3 . 5617897+002

3 . 5569789+002

5 . 4907795+002

5 . 6557734+002

5 . 7037712+002

7 . 9260727+002

5 . 3137981+002

1 . 2318620+003

9 . 9932564+002

2 . 1735043+003

2 . 1181165+003

3 . 8119653+003

3 . 8068988+003

6 . 3117483+003

6 . 3115352+003

9 . 8957789+003

9 . 8957755+003

4 . 3119277+001

4 . 3118805+001

1 . 9551202+002

1 . 9548737+002

4 . 4637168+002

2 . 9856163+002

2. 9949977+002

1 . 6899197+003

1 . 7084342+003

4 . 4767343+003

4 . 6777151+003

6 . 4591412+003

8 . 9744177+003

6 . 8270769+003

1 . 7940819+004

1 . 4857682+004

4 . 4079718+004

4 . 3162997+004

1 . 1108597+005

1 . 1099726+005

2 . 5819743+005

2 . 5819463+005

4 . 3183445+002

4. 3219972+002

2 . 5176935+003

2 . 5275981+003

7 . 0570950+003

7 . 1769048+003

1 . 2085510+004

1 . 3757163+004

1 . 2521618+004

2 . 3575558+004

1 . 7209548+004

4 . 7791563+004

4 . 4109215+004

1 . 1022287+005

1 . 0959585+005

2 . 4888368+005

2 . 4884024+005

5 . 2403747+005

5 . 2403640+005

5 . 9944378+002

5 . 9957312+002

3 . 5722059+003

3 . 5767522+003

1 . 0386276+004

1 . 0451892+004

1 . 9624529+004

2 . 0542657+004

2 . 3780143+004

3 . 3025031+004

2 . 3926081+004

5 . 6341189+004

4 . 6046056+004

1 . 1449175+005

1 . 1146412+005

2 . 4546118+005

2 . 4511024+005

5 . 0687675+005

5 . 0685807+005

9 . 8703822+005

9 . 8703785+005

8 . 0546096+002

8 . 0550346+002

4 . 8816050+003

4 . 8834619+003

1 . 4566931+004

5 59
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = 0.000

11 3. 9

000 -CONTINUED

3.5777655+000 1.6724058+001 4.4606345+002 1.4599451+004

11 3. 8 1.8947893+001 2.0808869+001 7.2059568+002 2.9064967+004

11 4. 8 1.9000694+001 2.1244397+001 7.2471967+002 2.9522444+004

11 4. 7 3.1647694+001 2.1033192+001 8.7245404+002 4.1108638+004

11 5. 7 3.2272707+001 2.5110311+001 9.8847266+002 4.7092189+004

11 5. 6 4.0617722+001 1.7125762+001 7.4963513+002 3.9489130+004

11 6. 6 4.4000000+001 3.1272727+001 1.3632727+003 7.1540364+004

11 6. 5 4.7382278+001 2.2199179+001 9.4914696+002 5.1421569+004

11 7. 5 5.5727293+001 4.2701251+001 2.1813417+003 1.2578744+005

11 7. 4 5.6352306+001 3.9561652+001 1.9951832+003 1.1501854+005

11 8. 4 6.8999306+001 5.8743356+001 3.7241772+003 2.4957514+005

11 8. 3 6.9052107+001 5.8387029+001 3.6966318+003 2.4762608+005

11 9. 3 8.4422234+001 7.7357410+001 6.1505381+003- 4.9862723+005

11 9, 2 8.4424634+001 7.7337974+001 6.1486097+003 4.9845769+005

11 10. 2 1.0200317+002 9.7872139+001 9.6563430+003 9.5743859+005

11 10. 1 1.0200323+002 9.7871603+001 9.6562762+003 9.5743132+005

11 11. 1 1.2166067+002 1.2029899+002 1.4500465+004 1.7500942+006

11 11, 0 1.2166067+002 1.2029898+002 1.4500464+004 1.7500941+006

12 0.12 -4.0717591+001 4.1622612+000 5.1544955+001 1.0539092+003

12 1.12 -4.0717591+001 4.1622626+000 5.1544834+001 1.0539224+003

12 1.11 -1.9171695+001 1.1936074+001 2.3589204+002 6.4743152+003

12 2.11 -1.9171683+001 1.1936223+001 2.3588443+002 6.4750071+003

12 2.10 3.0611005-001 1.8521875+001 5.4619299+002 1.9702042+004

12 3.10 3.0670260-001 1.8528206+001 5.4605352+002 1.9716650+004

12 3. 9 1.7625295+001 2.3609941+001 9.0523664+002 4.0667854+004

12 4. 9 1.7640573+001 2.3753263+001 9.0577356+002 4.0883305+004

12 4. 8 3.2527198+001 2.5951392+001 1.1972519+003 6.3179691+004

12 5, 8 3.2753889+001 2.7731591+001 1.2433145+003 6.6326507+004

12 5, 7 4.4106788+001 2.2374275+001 1.1593209+003 6.8992327+004

12 6, 7 4.5874111+001 3.2402956+001 1.5970429+003 9.5366404+004

12 6. 6 5.2000000+001 2.0902518+001 1.0558334+003 6.7066485+004

12 7. 6 5.8125889+001 4.1591789+001 2.2769683+003 1.4688625+005

12 7. 5 5.9893212+001 3.4214094+001 1.8293169+003 1.1890951+005

12 8. 5 7.1246111+001 5.6600757+001 3.6779191+003 2.6332394+005

12 8, 4 7.1472802+001 5.5160595+001 3.5664685+003 2.5511967+005

12 9, 4 8.6359427+001 7.5292404+001 6.0105022+003 5.0135272+005

12 9. 3 8.6374705+001 7.5171998+001 5.9986366+003 5.0029465+005

12 10. 3 1.0369330+002 9.6068152+001 9.4318489+003 9.4087762+005

12 10. 2 1.0369389+002 9.6062710+001 9.4311774+003 9.4080452+005

12 11, 2 1.2317168+002 1.1869375+002 1.4181617+004 1.7016699+006

12 11, 1 1.2317170+002 1.1869362+002 1.4181597+004 1.7016673+006

12 12, 1 1.4471759+002 1.4323865+002 2.0551531+004 2.9520177+006

12 12, 0 1.4471759+002 1.4323865+002 2.0551531+004 2.9520177+006

13 0.13 -4.8441221+001 4.5164224+000 6.0720704+001 1.3487847+003

13 1.13 -4.8441221+001 4.5164227+000 6.0720674+001 1.3487886+003

13 1,12 -2.5007421+001 1.3003604+001 2.8002244+002 8.3785907+003

13 2.12 -2.5007418+001 1.3003639+001 2.8002023+002 8.3788301+003

13 2,11 -3.6338378+000 2.0326780+001 6.5572503+002 2.5894348+004

13 3.11 -3.6336964+000 2.0328442+001 6.5567181+002 2.5900354+004

13 3,10 1.5607945+001 2.6265019+001 1.1064150+003 5.4735492+004

13 4.10 1.5612119+001 2.6308811+001 1.1062684+003 5.4831932+004

13 4, 9 3.2560104+001 3.0134857+001 1.5308551+003 8.9588262+004

13 5, 9 3.2634168+001 3.0806781+001 1.5455184+003 9.1054875+004

13 5, 8 4.6674215+001 2.9188008+001 1.7003729+003 1.1262695+005

13 6, 8 4.7440638+001 3.4721554+001 1.9377593+003 1.2950467+005

13 6, 7 5.6789694+001 2.3477418+001 1.4242488+003 1.0314539+005

13 7, 7 6.0666667+001 4.1535582+001 2.5006943+003 1.8143409+005

13 7, 6 6.4543639+001 2.9292876+001 1.7311323+003 1.2908061+005

13 8, 6 7.3892696+001 5.4560598+001 3.7090318+003 2.9000168+005

13 8, 5 7.4659118+001 5.0176686+001 3.3661329+003 2.6324644+005

13 9. 5 8.8699166+001 7.2855530+001 5.9043889+003 5.1726675+005

13 9, 4 8.8773230 +001 7.2294702 +001 5.8492694 +003 5.1221202 +005

13 10, 4 1.0572121+002 9.3890632 +001 9.2295657 +003 9.4005233 +005

60
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = 0.00(

13 10, 3

)000 -CONTINUED

1.0572539+002 9.3853101+001 9.2249684+003 9.3954708+005

13 11, 3 1.2496703+002 1.1677899+002 1.3879758+004 1.6717330+006

13 11, 2 1.2496717+002 1.1677754+002 1.3879540+004 1.6717042+006

13 12, 2 1.4634075+002 1.4151477+002 2.0137355+004 2.8761746+006

13 12, 1 1.4634075+002 1.4151474+002 2.0137349+004 2.8761737+006

13 13, 1 1.6977455+002 1.6817825+002 2.8324248+004 4.7750771+006

13 13, 0 1.6977455+002 1.6817825+002 2.8324248+004 4.7750771+006

14 0,14 -5.6831553+001 4.8704879+000 7.0646441+001 1.6940717+003

14 1,14 -5.6831553+001 4.8704880+000 7.0646433+001 1.6940728+003

14 1,13 -3.1510245+001 1.4069907+001 3.2790071+002 1.0622488+004

14 2,13 -3.1510244+001 1.4069915+001 3.2790009 +002 1.0622566+004

14 2,12 -8.2429982+000 2.2123076+001 7.7497680+002 3.3245711+004

14 3,12 -8.2429654+000 2.2123497+001 7.7495858+002 3.3247998+004

14 3,11 1.2910164+001 2.8854784+001 1.3255326+003 7.1552839+004

14 4,11 1.2911254+001 2.8867416+001 1.3253836+003 7.1593709+004

14 4,10 3.1838679+001 3.3854689+001 1.8817564+003 1.2091061+005

14 5,10 3.1861132+001 3.4084439+001 1.8855120+003 1.2154938+005

14 5, 9 4.8234104+001 3.5499888+001 2.2728379+003 1.6619729+005

14 6, 9 4.8521632+001 3.7976798+001 2.3735612+003 1.7496085+005

14 6, 8 6.1083504+001 3.0037470+001 2.1059063+003 1.6969606+005

14 7, 8 6.3136029+001 4.2891412+001 2.8815208+003 2,3334749+005

14 7, 7 7.0000000+001 2.7601876+001 1.8897332+003 1.6099719+005

14 8, 7 7.6863971+001 5.3187368+001 3.8707437+003 3.34758034005

14 8, 6 7.8916496+001 4.3412214+001 3.0882770+003 2.6908020+005

14 9, 6 9.1478368+001 7.0194350+001 5.8585707+003 5.4957220+005

14 9, 5 9.1765896+001 6.8148733+001 5.6568456+003 5.3025962+005

14 10, 5 1.0813887+002 9.1292741+001 9.0581276+003 9.5746673+005

14 10, 4 1.0816132+002 9.1096671+001 9.0342199+003 9.5478575+005

14 11, 4 1.2708875+002 1.1450053+002 1.3602428+004 1.6638506+006

14 11, 3 1.2708984+002 1.1448954+002 1.3600788+004 1.6636326+006

14 12, 3 1.4824297+002 1.3948794+002 1.9742396+004 2.8258233+006

14 12, 2 1.4824300+002 1.3948757+002 1.9742330+004 2.8258128+006

14 13, 2 1.7151024+002 1.6633528+002 2.7797363+004 4.6605533+006

14 13, 1 1.7151024+002 1.6633527+002 2.7797362+004 4.6605530+006

14 14, 1 1.96831554002 1.9511782+002 3.8117888+004 7.4532548+006

14 14, 0 1.96831554002 1.9511782+002 3.8117888+004 7.4532548+006

15 0,15 -6.58885804001 5.2244790+000 8.1322149+001 2.0937499+003

15 1,15 -6.58885804001 5.2244790+000 8.1322147+001 2.0937502+003

15 1,14 -3.8680062+001 1.5135301+001 3.7952648+002 1.3233945+004

15 2,14 -3.8680062+001 1.5135303+001 3.7952631+002 1.3233969+004

15 2,13 -1.3520616+001 2.3913907+001 9.0394931 +002 4.1857010+004

15 3,13 -1.35206094001 2.3914010+001 9.0394354+002 4.1857825+004

15 3,12 9.53780174000 3.1412703+001 1.5630498+003 9.1389352+004

15 4,12 9.5380761+000 3.1416181+001 1.5629747+003 9.1405712+004

15 4,11 3.0409108+001 3.7348748+001 2.2574375+003 1.5787840+005

15 5,11 3.0415536+001 3.7421781+001 2.2581299+003 1.5814427+005

15 5,10 4.8905316+001 4.0833902+001 2.8493924+003 2.2815078+005

15 6,10 4.9002794+001 4.1796592+001 2.8849278+003 2.3214305+005

15 6, 9 6.4399871+001 3.8488297+001 2.9933648+003 2.6525237+005

15 7, 9 6.53099014001 4.5676916+001 3.4248314+003 3.0577489+005

15 7, 8 7.56367284001 3.0742338+001 2.4668530+003 2.3530302+005

15 8, 8 8.00000004001 5.3095059+001 4.2206998+003 4.0442312+005

15 8, 7 8.43632724001 3.7287245+001 2.9121004+003 2.8573200+005

15 9, 7 9.46900994001 6.7712065+001 5.9233746+003 6.0387329+005

15 9, 6 9.56001294001 6.1888490+001 5.3422010+003 5.4493891 +005

15 10, 6 1.10997214002 8.8292401+001 8.9335207+003 9.9601900+005

15 10, 5 1.11094684002 8.7475928+001 8.8340228+003 9.8449802+005

15 11, 5 1.29584464002 1.1179848+002 1.3356640+004 1.6811297+006

15 11, 4 1.29590894002 1.1173509+002 1.3347238+004 1.6798613+006

15 12, 4 1.50461924002 1.3710907+002 1.9374894+004 2.8056372+006

15 12, 3 1.50462204002 1.3710600+002 1.9374347+004 2.8055506+006

15 13, 3 1.7352061+002 1.6419492+002 2.7292036+004 4.5803410+006

15 13, 2 1.7352062+002 1.6419483+002 2.7292017+004 4.5803374+006

61
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = 0.00C

15 14, 2

)000 -CONTINUED

1.9868006+002 1.9315540+002 3.7459456+004 7.2856179+006

15 14, 1 1.9868006+002 1.9315540+002 3.7459456+004 7.2856179+006

15 15, 1 2.2588858+002 2.2405735+002 5.0255722+004 1.1281225+007

15 15, 0 2.2588858+002 2.2405735+002 5.0255722+004 1.1281225+007

KAPPA = - 0.1 2 0, 2

00000

-2.3862601-001 2.1318971-001 8.5275882-001 3.4110353+000

2 1, 2 1.2903226-001 1.0000000+000 1.0000000+000 1.00000004000

2 1, 1 1.8709677+000 1.0000000+000 1.0000000+000 1.00000004000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.2386260+000 3.7868103+000 1.5147241+001 6.0588965+001

3 0, 3 -1.0095236+000 6.7088597-001 2.6835439+000 1.07341754001

3 1, 3 -8.7003113-001 1.1024957+000 2.0249572+000 1.0327110+001

3 1, 2 2.5460390+000 1.2356700+000 3.3566995+000 2.2445965+001

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 5.0095236+000 3.3291140+000 1.3316456+001 5.32658254001

3 3, 1 9.1280956+000 8.8975043+000 7.9975043+001 7.19672894002

3 3, 0 9.1958964+000 8.7643300+000 7.8643300+001 7.07554034002

4 0, 4 -2.4137352+000 1.1385536+000 4.9243017+000 2.5618606+001

4 1, 4 -2.3702426+000 1.3156249+000 4.1562491+000 2.9721867+001

4 1, 3 3.0158640+000 2.0330927+000 1.1330927+001 9.50114384001

4 2, 3 3.8064516+000 4.1875000+000 1.9750000+001 1.27000004002

4 2, 2 6.2043885+000 3.0968203+000 1.57158714001 1.16120934002

4 3, 2 9.4670167+000 8.6843751+000 7.7843751+001 7.00278134002

4 3, 1 9.8873618+000 7.9669073+000 7.0669073+001 6.3498856+002

4 4, 1 1.6193548+001 1.5812500+001 2.5225000+002 4.0330000+003

4 4, 0 1.6209347+001 1.5764626+001 2.5135983+002 4.0182605+003

5 0, 5 -4.4323658+000 1.5401100+000 7.6430410+000 5.4293779+001

5 1, 5 -4.4202165+000 1.6012718+000 7.1375487+000 6.00848154001

5 1, 4 2.9470326+000 3.3729149+000 2.5597148+001 2.47315224002

5 2, 4 3.2841220+000 4.6395691+000 2.8791382+001 2.78895224002

5 2, 3 7.5852452+000 3.4733421+000 2.8047972+001 3.3866554+002

5 3, 3 9.8244914+000 8.6460145+000 8.3220100+001 8.9838574+002

5 3, 2 1.1163609+001 6.8878953+000 6.5164076+001 7.2177778+002

5 4, 2 1.6715878+001 1.5360431+001 2.4320862+002 3.8811048+003

5 4, 1 1.6847121+001 1.4986548+001 2.3630899+002 3.7670407+003

5 5, 1 2.5240886+001 2.4752714+001 6.1664235+002 1.5396529+004

5 5, 0 2.5244197+001 2.4739190+001 6.1623878+002 1.5385907+004

6 0, 6 -7.0441715+000 1.9018209+000 1.1036451+001 1.0022613+002

6 1, 6 -7.0409975+000 1.9208298+000 1.0783677+001 1.0493376+002

6 1, 5 2.1971278+000 4.7725920+000 4.3209526+001 5.0123211+002

6 2, 5 2.3165389+000 5.3455383+000 4.3258082+001 5.3555059+002

6 2, 4 8.7968181+000 4.8507620+000 5.8525119+001 8.9382195+002

6 3, 4 1.0069282+001 8.9520973+000 1.0057950+002 1.4266894+003

6 3, 3 1.2990444+001 6.2356802+000 7.2152568+001 1.1352987+003

6 4, 3 1.7399335+001 1.4950444+001 2.4401311+002 4.2475858+003

6 4, 2 1.7962578+001 1.3546737+001 2.1785564+002 3.7946932+003

6 5, 2 2.5874941+001 2.4127073+001 5.9563682+002 1.4823377+004

6 5, 1 2.5909202+001 2.3991728+001 5.9163791+002 1.4718469+004

6 6, 1 3.6284126+001 3.5704018+001 1.2807288+003 4.6032864+004

6 6, 0 3.6284775+001 3.5700680+001 1.2805828+003 4.6027259+004

7 0, 7 -1.0240619+001 2.2473473+000 1.5157264+001 1.6578428+002

7 1, 7 -1.0239827+001 2.2528482+000 1.50503844001 1.6867057+002

7 1, 6 7.8979055-001 6.0074411+000 6.30802304001 8.8155804+002

7 2, 6 8.2737643-001 6.2253943+000 6.2322949+001 9.1337599+002

7 2, 5 9.4637998+000 7.1546631+000 1.09233584002 1.9587441+003

7 3, 5 1.0049551+001 9.6994980+000 1.32817784002 2.3879749+003

7 3, 4 1.5092583+001 6.6320092+000 1.0508874+002 2.2224227+003

7 4, 4 1.8166424+001 1.4815449+001 2.6300474+002 5.4169531+003

7 4, 3 1.9762593+001 1.1679161+001 2.02683474002 4.2725566+003

62
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.100000 -CONTINUED

7 5, 3 2.6734546+001 2.3389037+001 5.8419856+002 1.5233384+004

7 5, 2 2.6919839+001 2.2702688+001 5.6394329+002 1.4688451+004

7 6, 2 3.7006200+001 3.4959156+001 1.2426723+003 4.4485671+004

7 6, 1 3.7014226+001 3.4918829+601 1.2409257+003 4.4418915+004

7 7, 1 4.9326697+001 4.8658616+001 2.3759333+003 1.1621397+005

7 7, 0 4.9326819+001 4.8657862+001 2.3758877+003 1.1621157+005

8 0, 8 -1.4018990+001 2.5870840+000 1.9992432+001 2.5378205+002

8 1, 8 -1.4018798+001 2.5885956+000 1.9952137+001 2.5525883+002

8 1, 7 -1.2326939+000 7.1199717+600 8.5780814+001 1.4115422+003

8 2, 7 -1.2217414+000 7.1941836+000 8.5176080+001 1.4351893+003

8 2, 6 9.4025942+000 9.6280458+000 1.7112903+002 3.5764698+003

8 3, 6 9.6288230+000 1.0863877+001 1.8010209+002 3.8671670+003

8 3, 5 1.7069196+001 8.5483232+000 1.8087014+002 4.6300569+003

8 4, 5 1.8882613+001 1.5183027+001 3.0823015+002 7.7033865+003

8 4, 4 2.2225358+001 1.0413543+001 2.1312243+002 5.7287057+003

8 5, 4 2.7806961+001 2.2729142+001 5.9308604+002 1.7148273+004

8 5, 3 2.8481961+001 2.0523967+001 5.2712551+002 1.5262497+004

8 6, 3 3.7969850+001 3.4008854+001 1.2129219+003 4.4616435+004

8 6, 2 3.8021738+001 3.3757552+001 1.2020970+003 4.4196939+004

8 7, 2 5.0131401+001 4.7818386+001 2.3148597+003 1.1273330+005

8 7, 1 5.0133151+001 4.7807738+601 2.3142235+003 1.1269990+005

8 8, 1 6.4369278+001 6.3613936+001 4.0576719+003 2.5920499+005

8 8, 0 6.4369300+001 6.3613775+001 4.0576591+003 2.5920410+005

9 0, 9 -1.8378469+001 2.9247656+000 2.5522542+001 3.6752125+002

9 1, 9 -1.8378423+001 2.9251649+000 2.5508573+001 3.6818585+002

9 1, 8 -3.8490971+600 8.1748802+000 1.1175412+002 2.1124195+003

9 2, 8 -3.8460745+000 8.1982786+000 1.1142823+002 2.1269696+003

9 2, 7 8.6335266+000 1.1820129+001 2.3839445+002 5.7582466+003

9 3, 7 8.7110073+000 1.2324836+001 2.4046958+002 5.9377091+003

9 3, 6 1.8502111+001 1.1870372+001 3.0442099+002 8.9905722+003

9 4, 6 1.9386594+001 1.6178562+001 3.8482110+002 1.1422989+004

9 4, 5 2.5055467+001 1.0677555+001 2.7758103+002 9.2509649+003

9 5, 5 2.9016230+001 2.2441691+001 6.3613440+002 2.1218104+004

9 5, 4 3.0811730+001 1.7724263+001 4.9055670+002 1.6665466+004

9 6, 4 3.9203181+001 3.2937690+001 1.2013953+003 4.7174381+004

9 6, 3 3.9432814+001 3.1894668+001 1.1563505+003 4.5361688+004

9 7, 3 5.1174715+001 4.6738984+001 2.2615046+003 1.1199190+005

9 7, 2 5.1187812+001 4.6661193+001 2.2568887+003 1.1174774+005

9 8, 2 6.5256300+001 6.2685469+001 3.9663553+003 2.5223566+005

9 8, 1 6.5256662+001 6.2682883+001 3.9661514+003 2.5222158+005

9 9, 1 8.1411955+001 8.0569324+001 6.5053828+003 5.2592910+005

9 9, 0 8.1411959+001 8.0569292+001 6.5053795+003 5.2592881+005

10 0,10 -2.3318803+001 3.2616409+000 3.1735959+001 5.1048679+002

10 1,10 -2.3318793+001 3.2617432+000 3.1731419+001 5.1075833+002

10 1, 9 -7.0513291+000 9.2060424+000 1.4112982+002 3.0063473+003

10 2, 9 -7.0505283+000 9.2130100+000 1.4098484+002 3.0140680+003

10 2, 8 7.2186427+000 1.3763003+001 3.1168912+002 8.5695090+003

10 3, 8 7.2431053+000 1.3947006+001 3.1165712+002 8.6737485+003

10 3, 7 1.9162838+001 1.5555373+001 4.5509809+002 1.5301715+004

10 4, 7 1.9527579+001 1.7771277+001 4.9306882+002 1.6847400+004

10 4, 6 2.7813170+001 1.3054159+001 4.2699784+002 1.6674211+004

10 5, 6 3.0226856+001 2.2814662+001 7.2684058+002 2.8208463+004

10 5, 5 3.3907580+601 1.5648439+001 4.9690342+002 2.0327641+004

10 6, 5 4.0693703+001 3.1977922+001 1.2243104+003 5.3163891+004

10 6, 4 4.1454669+001 2.8904980+001 1.0896305+003 4.7388321+004

10 7, 4 5.2499143+001 4.5422701+001 2.2234187+003 1.1494984+005

10 7, 3 5.2566634+001 4.5036848+001 2.2005759+003 1.1371233+005

10 8, 3 6.6374531+001 6.1513135+001 3.8831180+003 2.4958290+005

10 8, 2 6.6377605+001 6.1491566+001 3.8814294+003 2.4946582+005

10 9, 2 8.2381947+001 7.9553888+001 6.3753522+003 5.1310219+005

63
TABLE II. -EXPECTATION VALUES -CONTINUED

FC4PPA - -0.1

10 9. 1

00000 -CONTINUED

8.2382019+001 7.9553298+001 6.3752928+003 5.1309697+005

10 10. 1 1.0045472+002 9.9524657+001 9.9225180+003 9.9035174+005

10 10, 0 1.0045472+002 9.9524651+001 9.9225172+003 9.9035165+005

11 0.11 -2.8839904+001 3.5981326+000 3.8627416+001 6.8617202+002

11 1.11 -2.8839901+001 3.5981582+000 3.8626013+001 6.8627488+002

11 1.10 -1.0836515+001 1.0227393+001 1.7391369+002 4.1168671+003

11 2.10 -1.0836309+001 1.0229378+001 1.7385656+002 4.1205158+003

11 2. 9 5.1946939+000 1.5574791+001 -3.9259413+002 1.2097580+004

11 3. 9 5.2019762+000 1.5636745+001 3.9224854+002 1.2154172+004

11 3, 8 1.9060208+001 1.8845224+001 6.1528454+002 2.3332523+004

11 4. 8 1.9193520+001 1.9803283+001 6.2911729+002 2.4181171+004

11 4. 7 3.0037314+001 1.7414009+001 6.7160126+002 2.9722845+004

11 5. 7 3.1271278+001 2.4010227+001 8.7395499+002 3.8913868+004

11 5. 6 3.7466566+001 1.5600783+001 6.0081513+002 2.9139650+004

11 6. 6 4.2367490+001 3.1482892+001 1.3031079+003 6.3936401+004

11 6. 5 4.4314600+001 2.5051683+001 1.0128569+003 5.0408053+004

11 7. 5 5.4131788+001 4.3975732+001 2.2142696+003 1.2284322+005

11 7. 4 5.4396778+001 4.2552986+001 2.1296378+003 1.1805712+005

11 8, 4 6.7766973+001 6.0062443+001 3.8137773+003 2.5248273+005

11 8. 3 6.7784957+001 5.9939507+001 3.8041953+003 2.5180792+005

11 9. 3 8.3576031+001 7.8299212+001 6.2543660+003 5.0682401+005

11 9. 2 8.3576714+001 7.8293689+001 6.2538142+003 5.0677541+005

11 10, 2 1.0150833+002 9.8422005+001 9.7441410+003 9.6823918+005

11 10. 1 1.0150834+002 9.8421877+001 9.7441249+003 9.6823743+005

11 11, 1 1.2149754+002 1.2047993+002 1.4536535+004 1.7555845+006

11 11, 0 1.2149754+002 1.2047993+002 1.4536535+004 1.7555844+006

12 0,12 -3.4941730+001 3.9343998+000 4.6194866+001 8.9803388+002

12 1.12 -3.4941729+001 3.9344061+000 4.6194450+001 8.9807053+002

12 1.11 -1.5203586+001 1.1244242+001 2.1008925+002 5.4681448+003

12 2.11 -1.5203535+001 1.1244788+001 2.1006860+002 5.4697174+003

12 2,10 2.5775659+000 1.7327211+001 4.8190281+002 1.6431866+004

12 3.10 2.5796383+000 1.7346859+001 4.8166523+002 1.6460364+004

12 3, 9 1.8273498+001 2.1717094+001 7.8410279+002 3.3156556+004

12 4, 9 1.8318316+001 2.2086042+001 7.8800404+002 3.3587199+004

12 4, 8 3.1450700+001 2.2434771+001 9.7245866+002 4.8152690+004

12 5. 8 3.1987354+001 2.5999131+001 1.0782277+003 5.4005928+004

12 5, 7 4.1015885+001 1.8323741+001 8.5507600+002 4.7474871+004

12 6, 7 4.4089403+001 3.1804071+001 1.4592282+003 8.1152656+004

12 6. 6 4.8036791+001 2.1970695+001 9.9828051+002 5.7745556+004

12 7, 6 5.6061042+001 4.2668343+001 2.2572014+003 1.3747641+005

12 7, 5 5.6886365+001 3.8699073+001 2.0175416+003 1.2305470+005

12 8, 5 6.9475281+001 5.8343637+001 3.7677424+003 2.6232300+005

12 8, 4 6.9555991+001 5.7812792+001 3.7263717+003 2.5932247+005

12 9, 4 8,5033267+001 7.6761680+001 6.1476425+003 5.0874234+005

12 9, 3 8.5037730+001 7.6726296+001 6.1441257+003 5.0842937+005

12 10, 3 1.0278013+002 9.7086317+001 9.5760641+003 9.5570284+005

12 10, 2 1.0278028+002 9.7084987+001 9.5758988+003 9.5568480+005

12 11, 2 1.2263527+002 1.1928958+002 1.4299069+004 1.7194229+006

12 11, 1 1.2263527+002 1.1928955+002 1.4299065+004 1.7194224+006

12 12, 1 1.4454041+002 1.4343515+002 2.0598893+004 2.9607086+006

12 12, 0 1.4454041+002 1.4343515+002 2.0598893+004 2.9607086+006

13 0,13 -4.1624259+001 4.2705145+000 5.4437598+001 1.1494986+003

13 1,13 -4.1624259+001 4.2705160+000 5.4437479+001 1.1495110+003

13 1.12 -2.0152090+001 1.2258652+001 2.4964486+002 7.0843925+003

13 2.12 -2.0152077+001 1.2258798+001 2.4963787+002 7.0850215+003

13 2,11 -6.2641908-001 1.9052835+001 5.7987886+002 2.1661079+004

13 3.11 -6.2585007-001 1.9058779+001 5.7976171+002 2.1674393+004

13 3.10 1.6856824+001 2.4348031+001 9.6540178+002 4.5017551+004

13 4,10 1.6870996+001 2.4479025+001 9.6613136+002 4.5225688+004

13 4. 9 3.2042359+001 2.6972447+001 1.2886215+003 7.0783095+004

13 5, 9 3.2249177+001 2.8590016+001 1.3330538+003 7.3931822+004

13 5, 8 4.4052065+001 2.3704563+001 1.2792801+003 7.9334929+004

64
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA - -0.1

13 6, 8

00000 -CONTINUED

4.5687537+001 3.3148583+001 1.7070342+003 1.0654809+005

13 6, 7 5.2321370+001 2.1409312+001 1.1428931+003 7.6151136+004

13 7, 7 5.8215533+001 4.1911071+001 2.3837822+003 1.6144130+005

13 7, 6 6.0274068+001 3.3692441+001 1.8739058+003 1.2832440+005

13 8, 6 7.1526177+001 5.6481432+001 3.7630325+003 2.8103123+005

13 8, 5 7.1818533+001 5.4672179+001 3.6211725+003 2.7027355+005

13 9, 5 8.6796314+001 7.4907480+001 6.0616246+003 5.2048461+005

13 9, 4 8.6818727+001 7.4734481+001 6.0444735+003 5.1892648+005

13 10, 4 1.0430474+002 9.5475475+001 9.4236590+003 9.5496318+005

13 10, 3 1.0430579+002 9.5466031+001 9.4224924+003 9.5483501 +005

13 11, 3 1.2398642+002 1.1787181+002 1.4073289+004 1.6968143+006

13 11, 2 1.2398645+002 1.1787151+002 1.4073243+004 1.6968082+006

13 12, 2 1.4576263+002 1.4215669+002 2.0290505+004 2.9040908+006

13 12, 1 1.4576263+002 1.4215668+002 2.0290504+004 2.9040906+006

13 13, 1 1.6958331+002 1.6839033+002 2.8385051+004 4.7883191+006

13 13, 0 1.6958331+002 1.6839033+002 2.8385051+004 4.7883191+006

14 0.14 -4.8887478+001 4.6065166+000 6.3355386+001 1.4439753+003

14 1,14 -4.8887478+001 4.6065170+000 6.3355353+001 1.4439794+003

14 1,13 -2.5681793+001 1.3271510+001 2.9257525+002 8.9896781+003

14 2,13 -2.5681790+001 1.3271548+001 2.9257300+002 8.9899146+003

14 2,12 -4.4146533+000 2.0765194+001 6.8658742+002 2.7873039+004

14 3,12 -4.4145016+000 2.0766925+001 6.8653823+002 2.7878841+004

14 3,11 1.4835969+001 2.6862099+001 1.1617278+003 5.9175955+004

14 4,11 1.4840243+001 2.6905841+001 1.1617034+003 5.9272462+004

14 4.10 3.1905155+001 3.0887259+001 1.6134263+003 9.7435040+004

14 5,10 3.1978357+001 3.1539533+001 1.6291184+003 9.8964565+004

14 5, 9 4.6246144+001 3.0164754+001 1.8092876+003 1.2389751+005

14 6, 9 4.6990258+001 3.5497335+001 2.0484613+003 1.4155205+005

14 6, 8 5.6668377+001 2.4331754+001 1.5327358+003 1.1490746+005

14 7, 8 6.0461430+001 4.2121863+001 2.6265204+003 1.9801594+005

14 7, 7 6.4613465+001 2.9418620+001 1.8097864+003 1.4061974+005

14 8, 7 7.3909466+001 5.4780631+001 3.8313300+003 3.1167022+005

14 8, 6 7.4780959+001 4.9915992+001 3.4442878+003 2.8053097+005

14 9, 6 8.8906273+001 7.2753100+001 6.0075764+003 5.4394345+005

14 9, 5 8.8997801+001 7.2073333+001 5.9400893+003 5.3761147+005

14 10, 5 1.0612120+002 9.3543679+001 9.2922033+003 9.6808409+005

14 10, 4 1.0612701+002 9.3492385+001 9.2858904+003 9.6738018+005

14 11, 4 1.2558175+002 1.1618863+002 1.3865064+004 1.6907157+006

14 11, 3 1.2558199+002 1.1618626+002 1.3864707+004 1.6906681+006

14 12, 3 1.4719439+002 1.4065549+002 1.9995259+004 2.8661231+006

14 12, 2 1.4719439+002 1.4065542+002 1.9995246+004 2.8661212+006

14 13, 2 1.7089030+002 1.6702343+002 2.7992827+004 4.7028525+006

14 13, 1 1.7089030+002 1.6702343+002 2.7992827+004 4.7028525+006

14 14, 1 1.9662624+002 1.9534548+002 3.8194470+004 7.4727882+006

14 14, 0 1.9662624+002 1.9534548+002 3.8194470+004 7.4727882+006

15 0,15 -5.6731376+001 4.9424319+000 7.2948164+001 1.7848651+003

15 1,15 -5.6731376+001 4.9424320+000 7.2948155+001 1.7848664+003

15 1.14 -3.1792555+001 1.4283266+001 3.3887868+002 1.1207933+004

15 2.14 -3.1792554+001 1.4283276+001 3.3887798+002 1.1208017+004

15 2.13 -8.7859244+000 2.2469967+001 8.0204065+002 3.5154615+004

15 3,13 -8.7858849+000 2.2470456+001 8.0202198+002 3.5156992+004

15 3,12 1.2222052+001 2.9320376+001 1.3741836+003 7.5876028+004

15 4.12 1.2223293+001 2.9334287+001 1.3740751+003 7.5918921+004

15 4,11 3.1111633+001 3.4411899+001 1.9542273+003 1.2863779+005

15 5,11 3.1135968+001 3.4654036+001 1.9589438+003 1.2933663+005

15 5.10 4.7559176+001 3.6104847+001 2.3642703+003 1.7743146+005

15 6.10 4.7859127+001 3.8630707+001 2.4733246+003 1.8701650+005

15 6, 9 6.0533376+001 3.0679606+001 2.2030566+003 1.8234278+005

15 7. 9 6.2623851+001 4.3560788+001 3.0080999+003 2.5062869+005

15 7, 8 6.9617127+001 2.8123507+001 1.9857221+003 1.7414984+005

15 8, 8 7.6556795+001 5.3707042+001 4.0172042+003 3.5887859+005

15 8. 7 7.8692636+001 4.3677583+001 3.1990476+003 2.8828526+005

15 9, 7 9.1389961+001 7.0438905+001 6.0084709+003 5.8199681 +005

65
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.100000 -CONTINUED

15 9. 6 9.1702709+001 6.8248792+001 5.7895525+003 5.6052435+005

15 10, 6 1.0827187+002 9.1257110+001 9.1884653+003 9.9707249+005

15 10, 5 1.0829813+002 9.1031504+001 9.1607294+003 9.9390547+005

15 11, 5 1.2745597+002 1.1419512+002 1.3679657+004 1.7038451+006

15 11, 4 1.2745740+002 1.1418096+002 1.3677537+004 1.7035600+006

15 12, 4 1.4886326+002 1.3889770+002 1.9719639+004 2.8506643+006

15 12, 3 1.4886331+002 1.3889713+002 1.9719536+004 2.8506480+006

15 13, 3 1.7240362+002 1.6543766+002 2.7615248+004 4.6424416+006

15 13, 2 1.7240362+002 1.6543765+002 2.7615245+004 4.6424410+006

15 14, 2 1.9801821+002 1.9388988+002 3.7704414+004 7.3477212+006

15 14, 1 1.9801821+002 1.9388988+002 3.7704414+004 7.3477212+006

15 15, 1 2.2566918+002 2.2430060+002 5.0350610+004 1.1309249+007

15 15, 0 2.2566918+002 2.2430060+002 5.0350610+004 1.1309249+007

KAPPA = - 0.200000

2 0, 2 —1 . 7944947 —001 1.6467413-001 6.5869652-001 2.6347861+000

2 1, 2 2.5000000-001 1.0000000+000 1.0000000+000 1.0000000+000

2 1, 1 1.7500000+000 1.0000000+000 1.0000000+000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.1794495+000 3.8353259+000 1.5341303+001 6.1365214+001

3 0, 3 -7.8388218-001 5.6315758-001 2.2526303+000 9.0105213+000

3 1, 3 -5.9767986-001 1.0805993+000 1.8059926+000 8.3345330+000

3 1, 2 2.3588350+000 1.1665091+000 2.6650914+000 1.6152332+001

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.7838822+000 3.4368424+000 1.3747370+001 5.4989479+001

3 3, 1 9.0976799+000 8.9194007+000 8.0194007+001 7.2166547+002

3 3, 0 9.1411650+000 8.8334909+000 7.9334909+001 7.1384767+002

4 0, 4 -1.9291600+000 1.0146002+000 4.3178778+000 2.1423141+001

4 1.4 -1.8624861+000 1.2583426+000 3.5834261+000 2.4509178+001

4 1, 3 2.8588350+000 1.7562770+000 8.5627696+000 6.9821204+001

4 2, 3 3.8558971+000 4.1407231+000 1.8814462+001 1.1128296+002

4 2, 2 5.7764053+000 3.1522819+000 1.4983475+001 9.7923455+001

4 3, 2 9.3624861+000 8.7416574+000 7.8416574+001 7.0549082+002

4 3, 1 9.6411650+000 8.2437230+000 7.3437230+001 6.6017880+002

4 4, 1 1.6144103+001 1.5859277+001 2.5318554+002 4.0487170+003

4 4, 0 1.6152755+00.1 1.5833118+001 2.5269865+002 4.0406534+003

5 0. 5 -3.6118742+000 1.4129349+000 6.7638932+000 4.4850030+001

5 1, 5 -3.5905275+000 1.5094364+000 6.1776404+000 5.0273375+001

5 1,4 2.9707999+000 2.8828501+000 2.0343333+001 1.9035849+002

5 2, 4 3.4616516+000 4.4940224+000 2.5880448+001 2.2999152+002

5 2, 3 7.0000000+000 3.2941176+000 2.3058824+001 2.5035294+002

5 3, 3 9.6625439+000 8.6723412+000 8.1974015+001 8.4795417+002

5 3. 2 1.0599666+001 7.3052264+000 6.7996553+001 7.1282571+002

5 4, 2 1.6538348+001 1.5505978+001 2.4611955+002 3.9300085+003

5 4, 1 1.6611874+001 1.5292947+001 2.4217728+002 3.8647970+003

5 5, 1 2.5177984+001 2.4818222+001 6.1884834+002 1.5456772+004

5 5, 0 2.5179534+001 2.4811924+001 6.1866011+002 1.5451816+004

6 0, 6 -5.8113078+000 1.7663914+000 9.7561642+000 8.2825446+001

6 1, 6 -5.8049244+000 1.8007083+000 9.4115713+000 8.8021553+001

6 1, 5 2.5158598+000 4.2230512+000 3.6204394+001 3.9838352+002

6 2, 5 2.7175592+000 5.0758974+000 3.7729526+001 4.3734993+002

6 2, 4 8.1985624+000 4.1846736+000 4.4309051+001 6.3547090+002

6 3, 4 9.9061845+000 8.8497083+000 9.4513292+001 1.2408908+003

6 3, 3 1.2069082+001 6.4921255+000 6.9641443+001 9.8098998+002

6 4, 3 1.7072897+001 1.5140196+001 2.4544153+002 4.1788124+003

6 4, 2 1.7402941+001 1.4266356+001 2.2916403+002 3.9001006+003

6 5, 2 2.5648740+001 2.4349583+001 6.0307514+002 1.5026088+004

6 5, 1 2.5665058+001 2.4284823+001 6.0115416+002 1.4975627+004

6 6, 1 3.6209544+001 3.5783907+001 1.2848289+003 4.6199838+004

6 6, 0 3.6209804+001 3.5782579+001 1.2847708+003 4.6197603+004

66
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA --

7 0,

= -0.2

7

00000 -CONTINUED

-8.5168254+000 2.0980941+000 1.3379765+001 1.3754674+002

7 1, 7 -8.5150019+000 2.1094484+000 1.3210518+001 1.4124930+002

7 1, 6 1.4759975+000 5.4635121+000 5.4262268+001 7.1170433+002

7 2, 6 1.5492370+000 5.8401381+000 5.3973624+001 7.4785469+002

7 2, 5 9.0589886+000 5.9985477+000 8.4069949+001 1.4270852+003

7 3, 5 9.9769224+000 9.3786102+000 1.1902560+002 1.9769003+003

7 3, 4 1.3894903+001 6.3707148+000 8.8236147+001 1.6813999+003

7 4, 4 1.7708106+001 1.4923092+001 2.5726742+002 5.0112712+003

7 4, 3 1.8711918+001 1.2682964+001 2.1450352+002 4.2217612+003

7 5, 3 2.6297226+001 2.3760742+001 5.9306993+002 1.5285792+004

7 5, 2 2.6388204+001 2.3414830+001 5.8282314+002 1.5011656+004

7 6, 2 3.6742657+001 3.5236770+001 1.2567590+003 4.5056874+004

7 6, 1 3.6745918+001 3.5220394+001 1.2560468+003 4.5029607+004

7 7, 1 4 9240854+001 4.8751200+001 2.3826940+003 1.1660006+005

7 7, 0 4.9240896+001 4.8750943+001 2.3826784+003 1.1659924+005

8 0, 8 -1.1724455+001 2.4209661+000 1.7642825+001 2.1122726+002

8 L 8 -1.1723951+001 2.4245323+000 1.7569130+001 2.1341583+002

8 1, 7 -1.1177089-001 6.5680839+000 7.4541602+001 1.1496308+003

8 2, 7 -8.7248305-002 6.7158863+000 7.3915506+001 1.1788345+003

8 2, 6 9.3415508+000 8.3251349+000 1.3868472+002 2.7247242+003

8 3, 6 9.7578701+000 1.0286419+001 1.5681319+002 3.1400498+003

8 3, 5 1.5795318+001 7.3742346+000 1.3674965+002 3.2429588+003

8 4, 5 1.8357259+001 1.5045019+001 2.8834111+002 6.6787692+003

8 4, 4 2.0631344+001 1.1120431+001 2.1050524+002 5.0987261+003

8 5, 4 2.7131957+001 2.3150904+001 5.9568978+002 1.6606960+004

8 5, 3 2.7481722+001 2.1923221+001 5.5900184+002 1.5579460+004

8 6, 3 3.7457756+001 3.4520357+001 1.2337212+003 4.5105833+004

8 6, 2 3.7479321+001 3.4414778+001 1.2291488+003 4.4929018+004

8 7, 2 4.9834123+001 4.8138144+001 2.3379279+003 1.1404357+005

8 7, 1 4.9834731+001 4.8134460+001 2.3377069+003 1.1403195+005

8 8, 1 6.4272233+001 6.3718737+001 4.0680222+003 2.5999656+005

8 8, 0 6.4272239+001 6.3718690+001 4.0680184+003 2.5999630+005

9 0, 9 -1.5432857+001 2.7404483+000 2.2531316+001 3.0647009+002

9 1, 9 -1.5432721+001 2.7415250+000 2.2501904+001 3.0760429+002

9 1. 8 -2.2205924+000 7.5922877+000 9.7521016+001 1.7306221+003

9 2, 8 -2.2128320+000 7.6458063+000 9.7060142+001 1.7508721+003

9 2, 7 8.9879664+000 1.0568142+001 2.0035594+002 4.5282934+003

9 3, 7 9.1539328+000 1.1513184+001 2.0720301+002 4.8017623+003

9 3, 6 1.7425792+001 9.7594167+000 2.2767793+002 6.2949173+003

9 4, 6 1.8901087+001 1.5655647+001 3.4435976+002 9.4565467+003

9 4, 5 2.3034037+001 1.0458724+001 2.3875903+002 7.1784693+003

9 5, 5 2.8121149+001 2.2714513+001 6.2075091+002 1.9463162+004

9 5, 4 2.9132528+001 1.9645141+001 5.2690588+002 1.6634226+004

9 6, 4 3.8385718+001 3.3656062+001 1.2213637+003 4.6865947+004

9 6, 3 3.8484720+001 3.3190965+001 1.2011978+003 4.6064316+004

9 7, 3 5.0603943+001 4.7344532+001 2.2981349+003 1.1345816+005

9 7, 2 5.0608575+001 4.7316916+001 2.2964867+003 1.1337099+005

9 8. 2 6.4926026+001 6.3042484+001 4.0012164+003 2.5488663+005

9 8, 1 6.4926134+001 6.3041721+001 4.0011559+003 2.5488245+005

9 9, 1 8.1303696+001 8.0686246+001 6.5204093+003 5.2741431+005

9 9, 0 8.1303697+001 8.0686238+001 6.5204085+003 5.2741424+005

10 0,10 -1.9641588+001 3.0585922+000 2.8032589+001 4.2612419+002

10 1,10 -1.9641552+001 3.0589073+000 2.8021602+001 4.2665680+002

10 1, 9 -4.8381245+000 8.5787510+000 1.2345153+002 2.4730312+003

10 2, 9 -4.8357692+000 8.5970215+000 1.2319782+002 2.4853067+003

10 2, 8 8.0419181+000 1.2550746+001 2.6671449+002 6.8586637+003

10 3, 8 8.1024629+000 1.2951752+001 2.6844329+002 7.0258831+003

10 3, 7 1.8487949+001 1.3106973+001 3.5686803+002 1.1217091+004

10 4, 7 1.9211968+001 1.6807705+001 4.2820236+002 1.3612789+004

10 4, 6 2.5626313+001 1.1327435+001 3.2393218+002 1.1634079+004

10 5, 6 2.9185192+001 2.2692628+001 6.7959349+002 2.4442984+004

10 5, 5 3.1471729+001 1.7160275+001 5.0424498+002 1.8663614+004

67
TABLE II. -EXPECTATION VALUES-CONTINUED

KAPPA = -0.2

10 6, 5

00000 -CONTINUED

3.9538636+001 3.2753612+001 1.2292683+003 5.1009307+004

10 6, 4 3.9887264+001 3.1228072+001 1.1625016+003 4.8224102+004

10 7, 4 5.1585248+001 4.6349861+001 2.2676010+003 1.1553414+005

10 7, 3 5.1609778+001 4.6207298+001 2.2591098+003 1.1507726+005

10 8, 3 6.5749941+001 6.2187963+001 3.9398729+003 2.5290016+005

10 8, 2 6.5750869+001 6.2181458+001 3.9393607+003 2.5286461+005

10 9, 2 8.2018649+001 7.9946852+001 6.4253407+003 5.1801533+005

10 9, 1 8.2018668+001 7.9946704+001 6.4253256+003 5.1801401+005

10 10, 1 1.0033522+002 9.9653697+001 9.9434586+003 9.9295244+005

10 10, 0 1.0033522+002 9.9653696+001 9.9434584+003 9.9295242+005

11 0,11 -2.4350489+001 3.3761451+000 3.4139416+001 5.7311165+002

11 1,11 -2.4350479+001 3.3762351+000 3.4135522+001 5.7334321+002

11 1,10 -7.9594515+000 9.5486533+000 1.5240190+002 3.3960950+003

11 2,10 -7.9587595+000 9.5546140+000 1.5228235+002 3.4027548+003

11 2, 9 6.5491615+000 1.4346712+001 3.3883657+002 9.7787005+003

11 3, 9 6.5699034+000 1.4502704+001 3.3890727+002 9.8758296+003

11 3, 8 1.8867023+001 1.6515031+001 5.0467074+002 1.7856968+004

11 4, 8 1.9178421+001 1.8439231+001 5.3908310+002 1.9371280+004

11 4, 7 2.8036185+001 1.4092274+001 4.9038168+002 2.0179308+004

11 5, 7 3.0206122+001 2.3288753+001 7.8233301+002 3.2223281+004

11 5, 6 3.4417368+001 1.5666659+001 5.3196062+002 2.3293340+004

11 6, 6 4.0892280+001 3.2032967+001 1.2718690+003 5.8454580+004

11 6, 5 4.1871534+001 2.8249937+001 1.1028800+003 5.0908400+004

11 7, 5 5.2809355+001 4.5176922+001 2.2533570+003 1.2108380+005

11 7, 4 5.2909786+001 4.4615691+001 2.2198422+003 1.1922243+005

11 8, 4 6.6776214+001 6.1122441+001 3.8876839+003 2.5497646+005

11 8, 3 6.6781761+001 6.1084213+001 3.8846841+003 2.5476593+005

11 9, 3 8.2898303+001 7.9034285+001 6.3364914+003 5.1335736+005

11 9, 2 8.2898479+001 7.9032866+001 6.3363488+003 5.1334478+005

11 10, 2 1.0111184+002 9.8850747+001 9.8130817+003 9.7675492+005

11 10, 1 1.0111185+002 9.8850719+001 9.8130782+003 9.7675455+005

11 11, 1 1.2136680+002 1.2062110+002 1.4564776+004 1.7598924+006

11 11, 0 1.2136680+002 1.2062110+002 1.4564776+004 1.7598924+006

12 0,12 -2.9559495+001 3.6933878+000 4.0848418+001 7.5034672+002

12 1,12 -2.9559493+001 3.6934130+000 4.0847094+001 7.5044135+002

12 1,11 -1.1582663+001 1.0511098+001 1.8437413+002 4.5198026+003

12 2,11 -1.1582465+001 1.0512973+001 1.8432327+002 4.5231025+003

12 2,10 4.5347306+000 1.6044324+001 4.1787383+002 1.3363730+004

12 3,10 4.5415090+000 1.6101268+001 4.1762807+002 1.3417258+004

12 3, 9 1.8598698+001 1.9538994+001 6.6004437+002 2.6049765+004

12 4, 9 1.8720522+001 2.0412107+001 6.7360312+002 2.6900473+004

12 4, 8 2.9911216+001 1.8407742+001 7.3785067+002 3.4019032+004

12 5, 8 3.1049769+001 2.4595099+001 9.3482858+002 4.3482813+004

12 5, 7 3.7680398+001 1.6101750+001 6.5546012+002 3.3315679+004

12 6, 7 4.2375348+001 3.1782619+001 1.3668405+003 7.0417265+004

12 6, 6 4.4601226+001 2.4735189+001 1.0417710+003 5.4682606+004

12 7, 6 5.4291747+001 4.3940123+001 2.2678613+003 1.3121019+005

12 7, 5 5.4625928+001 4.2187389+001 2.1622201+003 1.2505846+005

12 8, 5 6.8039344+001 5.9824410+001 3.8494771+003 2.6209692+005

12 8, 4 6.8065039+001 5.9651757+001 3.8359365+003 2.6112603+005

12 9, 4 8.3971014+001 7.7915898+001 6.2575875+003 5.1473383+005

12 9, 3 8.3972185+001 7.7906575+001 6.2566545+003 5.1465092+005

12 10, 3 1.0204885+002 9.7879424+001 9.6897888+003 9.6748019+005

12 10, 2 1.0204888+002 9.7879132+001 9.6897524+003 9.6747621+005

12 11, 2 1.2220545+002 1.1975420+002 1.4391247+004 1.7334115+006

12 11, 1 1.2220545+002 1.1975419+002 1.4391247+004 1.7334114+006

12 12, 1 1.4439840+002 1.4358847+002 2.0635967+004 2.9675260+006

12 12, 0 1.4439840+002 1.4358847+002 2.0635967+004 2.9675260+006

13 0,13 -3.5268576+001 4.0104373+000 4.8158192+001 9.6071796+002

13 1,13 -3.5268576+001 4.0104442+000 4.8157758+001 9.6075470+002

13 1,12 -1.5706973+001 1.1469827+001 2.1935774+002 5.8644267+003

13 2.12 -1.5706917+001 1.1470400+001 2.1933764+002 5.8659443+003

68
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA - -0.2

13 2,11

00000 -CONTINUED

2.0099009+000 1.7694794+001 5.0439525+002 1.7689666+004

13 3,11 2.0120353+000 1.7714583+001 5.0419759+002 1.7717536+004

13 3,10 1.7746744+001 2.2219925+001 8.2352021+002 3.5889959+004

13 4,10 1.7791282+001 2.2580776+001 8.2793088+002 3.6336465+004

13 4, 9 3.1068557+001 2.3111961+001 1.0295557+003 5.2639951+004

13 5, 9 3.1591382+001 2.6561632+001 1.1368199+003 5.8781951+004

13 5, 8 4.0867261+001 1.8986276+001 9.1751738+002 5.2646902+004

13 6, 8 4.3873955+001 3.2266064+001 1.5309915+003 8.8350156+004

13 6, 7 4.8050726+001 2.2133345+001 1.0460867+003 6.2972566+004

13 7, 7 5.6015492+001 4.2877257+001 2.3309563+003 1.4752968+005

13 7, 6 5.6937255+001 3.8535132+001 2.0644571+003 1.3101485+005

13 8, 6 6.9571162+001 5.8315114+001 3.8334481+003 2.7542856+005

13 8, 5 6.9668639+001 5.7683934+001 3.7837755+003 2.7174715+005

13 9, 5 8.5268585+001 7.6557373+001 6.1925156+003 5.2341096+005

13 9, 4 8.5274624+001 7.6510187+001 6.1878034+003 5.2298590+005

13 10, 4 1.0317115+002 9.6710335+001 9.5776371+003 9.6688678+005

13 10, 3 1.0317139+002 9.6708220+001 9.5773740+003 9.6685788+005

13 11, 3 1.2320105+002 1.1872291+002 1.4225714+004 1.7167101+006

13 11, 2 1.2320106+002 1.1872285+002 1.4225705+004 1.7167090+006

13 12, 2 1.4529937+002 1.4265731+002 2.0410655+004 2.9260761+006

13 12, 1 1.4529937+002 1.4265731+002 2.0410655+004 2.9260761+006

13 13, 1 1.6943003+002 1.6855581+002 2.8432639+004 4.7987040+006

13 13, 0 1.6943003+002 1.6855581+002 2.8432639+004 4.7987040+006

14 0,14 -4.1477713+001 4.3273510+000 5.6068209+001 1.2070935+003

14 1,14 -4.1477712+001 4.3273529+000 5.6068071+001 1.2071072+003

14 1,13 -2.0332013+001 1.2426419+001 2.5734490+002 7.4502254+003

14 2,13 -2.0331997+001 1.2426590+001 2.5733740+002 7.4508813+003

14 2,12 -1.0204838+000 1.9322473+001 5.9860891+002 2.2831305+004

14 3,12 -1.0198316+000 1.9329083+001 5.9849945+002 2.2845005+004

14 3,11 1.6352580+001 2.4699666+001 9.9819742+002 4.7588201+004

14 4,11 1.6368053+001 2.4839044+001 9.9931051+002 4.7812608+004

14 4,10 3.1517724+001 2.7364705+001 1.3339857+003 7.5042324+004

14 5,10 3.1734926+001 2.9028244+001 1.3828340+003 7.8495977+004

14 5, 9 4.3577885+001 2.4119183+001 1.3294542+003 8.4497455+004

14 6, 9 4.5250662+001 3.3628377+001 1.7753170+003 1.1374146+005

14 6, 8 5.1954109+001 2.1798087+001 1.1961721+003 8.1828237+004

14 7, 8 5.7918298+001 4.2318902+001 2.4684638+003 1.7230953+005

14 7, 7 6.0031630+001 3.3953510+001 1.9403942+003 1.3712798+005

14 8, 7 7.1390323+001 5.6708611+001 3.8549000+003 2.9664360+005

14 8, 6 7.1702072+001 5.4801841+001 3.7034982+003 2.8490270+005

14 9, 6 8.6825118+001 7.4935036+001 6.1463478+003 5.4068289+005

14 9, 5 8.6850672+001 7.4740293+001 6.1268910+003 5.3888579+005

14 10, 5 1.0450681+002 9.5309251+001 9.4804622+003 9.7666754+005

14 10, 4 1.0450814+002 9.5297428+001 9.4789961+003 9.7650475+005

14 11, 4 1.2437569+002 1.1750122+002 1.4072664+004 1.7121252+006

14 11, 3 1.2437574+002 1.1750076+002 1.4072596+004 1.7121160+006

14 12, 3 1.4635447+002 1.4156500+002 2.0194275+004 2.8980604+006

14 12, 2 1.4635447+002 1.4156499+002 2.0194273+004 2.8980600+006

14 13, 2 1.7039351+002 1.6756016+002 2.8146123+004 4.7361493+006

14 13, 1 1.7039351+002 1.6756016+002 2.8146123+004 4.7361493+006

14 14, 1 1.9646168+002 1.9552312+002 3.8254398+004 7.4881035+006

14 14, 0 1.9646168+002 1.9552312+002 3.8254398+004 7.4881035+006

15 0,15 -4.8186892+001 4.6441623+000 6.4578284+001 1.4923297+003

15 1,15 -4.8186892+001 4.6441628+000 6.4578241+001 1.4923346+003

15 1,14 -2.5457583+001 1.3381606+001 2.9833180+002 9.2973486+003

15 2,14 -2.5457579+001 1.3381656+001 2.9832913+002 9.2976176+003

15 2,13 -4.5542582+000 2.0938202+001 7.0057650+002 2.8862378+004

15 3,13 -4.5540638+000 2.0940339+001 7.0052516+002 2.8868754+004

15 3,12 1.4436897+001 2.7076155+001 1.1861409+003 6.1365232+004

15 4,12 1.4442060+001 2.7127251+001 1.1862857+003 6.1474164+004

15 4,11 3.1335342+001 3.1077416+001 1.6461779+003 1.0108597+005

15 5,11 3.1419288+001 3.1802861+001 1.6655086+003 1.0285857+005

15 5,10 4.5555555+001 3.0185525+001 1.8363068+003 1.2800008+005

69
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.200000 -CONTINUED

15 6,10 4.6370120+001 3.5846979+001 2.1014416+003 1.4782301+005

15 6, 9 5.5904725+001 2.4483441+001 1.5633615+003 1.1926102+005

15 7, 9 5.9892458+001 4.2591500+001 2.7066353+003 2.0836321+005

15 7, 8 6.3943860+001 3.0013845+001 1.8846406+003 1.4944525 +005

15 8, 8 7.3486860+001 5.5252950+001 3.9396337+003 3.2836331+005

15 8, 7 7.4336345+001 5.0519739+001 3.5577053+003 2.9701517+005

15 9, 7 8.8672960+001 7.3066308+001 6.1281199+003 5.6811148+005

15 9, 6 8.8764743+001 7.2390810+001 6.0603652+003 5.6164257+005

15 10, 6 1.0608716+002 9.3639925+001 9.4020672+003 9.9842438+005

15 10, 5 1.0609335+002 9.3585894+001 9.3953747+003 9.9766828+005

15 11, 5 1.2575410+002 1.1605836+002 1.3936283+004 1.7219131+006

15 11, 4 1.2575438+002 1.1605559+002 1.3935865+004 1.7218570+006

15 12, 4 1.4758356+002 1.4028842+002 1.9991772+004 2.8865119+006

15 12, 3 1.4758356+002 1.4028832+002 1.9991756+004 2.8865092+006

15 13, 3 1.7150880+002 1.6640604+002 2.7869499+004 4.6916154+006

15 13, 2 1.7150880+002 1.6640604+002 2.7869499+004 4.6916154+006

15 14, 2 1.9748782+002 1.9446282+002 3.7896470+004 7.3965856+006

15 14, 1 1.9748782+002 1.9446282+002 3.7896470+004 7.3965856+006

15 15, 1 2.2549335+002 2.2449042+002 5.0424851+004 1.1331217+007

15 15, 0 2.2549335+002 2.2449042+002 5.0424851+004 1.1331217+007

KAPPA = -0.300000

2 0, 2 -1.3071465-001 1.2269559-001 4.9078236-001 1.9631295+000

2 1, 2 3.6363636-001 1.0000000+000 1.0000000+000 1.0000000+000

2 1, 1 1.6363636+000 1.0000000+000 1.0000000+000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.1307146+000 3.8773044+000 1.5509218+001 6.2036871+001

3 0, 3 -5.8838261-001 4.5463341-001 1.8185336+000 7.2741346+000

3 1, 3 -3.4495142-001 1.0613553+000 1.6135525+000 6.5833278+000

3 1, 2 2.1738529+000 1.1142228+000 2.1422277+000 1.1394272+001

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.5883826+000 3.5453666+000 1.4181466+001 5.6725865+001

3 3, 1 9.0722241+000 8.9386447+000 8.0386447+001 7.2341667+002

3 3, 0 9.0988744+000 8.8857772+000 7.9857772+001 7.1860573+002

4 0, 4 -1.4938167+000 8.7747304-001 3.6804764+000 1.7451252+001

4 1, 4 -1.3939394+000 1.2045455+000 3.0454545+000 1.9613636+001

4 1, 3 2.6731664+000 1.5290671+000 6.2906711+000 4.9145107+001

4 2, 3 3.8959135+000 4.1023116+000 1.8046232+001 9.8376691+001

4 2, 2 5.3852611+000 3.2383243+000 1.4616964+001 8.5086533+001

4 3, 2 9.2727273+000 8.7954545+000 7.8954545+001 7.1038636+002

4 3, 1 9.4480457+000 8.4709329+000 7.5709329+001 6.8085489+002

4 4, 1 1.6104086+001 1.5897688+001 2.5395377+002 4.0616233+003

4 4, 0 1.6108556+001 1.5884203+001 2.5370256+002 4.0574622+003

5 0, 5 -2.8616189+000 1.2700984+000 5.8699976+000 3.6113652+001

5 1, 5 -2.8250329+000 1.4183288+000 5.2353920+000 4.0891571+001

5 1, 4 2.9195747+000 2.4089669+000 1.5367084+001 1.3892552+002

5 2, 4 3.6078561+000 4.3680868+000 2.3361735+001 1.8767716+002

5 2, 3 6.4308355+000 3.2112585+000 1.9592775+001 1.8633495+002

5 3, 3 9.5154750+000 8.7115154+000 8.1163755+001 8.0944892+002

5 3, 2 1.0133828+001 7.7236110+000 7.1113843+001 7.1356926+002

5 4, 2 1.6392144+001 1.5631913+001 2.4863826+002 3.9723228+003

5 4, 1 1.6430783+001 1.5518643+001 2.4653723+002 3.9375514+003

5 5, 1 2.5127740+001 2.4870156+001 6.2060085+002 1.5504660+004

5 5, 0 2.5128415+001 2.4867422+001 6.2051907+002 1.5502505+004

6 0, 6 -4.6747916+000 1.6169424+000 8.4817380+000 6.6579631+001

6 1,6 -4.6622955+000 1.6771445+000 8.0389350+000 7.1982311+001

6 1, 5 2.7272727+000 3.6181818+000 2.8981818+001 3.0225455+002

6 2, 5 3.0549334+000 4.8276384+000 3.2672667+001 3.4880083+002

6 2, 4 7.5502210+000 3.7071067+000 3.3450474+001 4.3977709 +002

6 3, 4 9.7410119+000 8.7919398 +000 8.9803997 +001 1.0910275 +003

6 3, 3 1.1253329+001 6.8795829+000 6.9714560+001 8.8319765+002

70
3

s 2

», 2

», 1

», 10

I, 7

, 7

, 6

6

5

i, 54

4

•, 3

3

2

2

i, 1

, 1

, 0

i, 8

, 8

, 776

», 6

5

54

, 4

s 3

3

i, 2

2

, 1

10

i, 9

, 9

, 8

, 8

7

7

, 6

s 6

5

s 54

i, 4

i, 3

, 3

, 2

!, 2

llo

1,10 ao

, 9

9

8

TABLE II. -EXPECTATION VALUES -CONTINUED

) -CONTINUED

1.6794872+001

1.6974280+001

2.5466738+001

2.5473944+001

3.6150195+001

3.6150290+001

-6.9211264+000

-6.9170526+000

2.0321103+000

2.1694711+000

8.5109657+000

9.8658771+000

1.2754402+001

1.7298007+001

1.7876426+001

2.5939180+001

2.5980267+001

3.6532522+001

3.6533735+001

4.9172601+001

4.9172614+001

-9.5951452+000

-9.5938606+000

8.5226596-001

9.0509612-001

9.0768438+000

9.7975135+000

1.4459723+001

1.7852994+001

1.9268230+001

2.6562273+001

2.6726474+001

3.7046825+001

3.7054985+001

4.9597710+001

4.9597901 +001

6.4195085+001

6.4195087+001

-1.2694733+001

-1.2694338+001

-7.8356551-001

-7.6441855-001

9.1145870+000

9.4504786+000

1.6122856+001

1.8380883+001

2.1158116+001

2.7331387+001

2.7837672+001

3.7720016+001

3.7758482+001

5.0149383+001

5.0150857+001

6.4663519+001

6.4663548+001

8.1217634+001

8.1217635+001

-1.6219114+001

-1.6218995+001

-2.8582001+000

-2.8515556+000

8.6167599+000

1.5325962+001

1.4830038+001

2.4530916+001

2.4502235+001

3.5846399+001

3.5845913+001

1.9362589+000

1.9589817+000

4.8425537+000

5.4645479+000

4.9616922+000

9.1330881+000

6.4085576+000

1.5079283+001

1.3651966+001

2.4084595+001

2.3925632+001

3.5456169+001

3.5450083+001

4.8823336+001

4.8823256+001

2.2426352+000

2.2507725+000

5.9477572+000

6.2295508+000

6.9184081+000

9.7898662+000

6.6984444+000

1.5032947+001

1.2141704+001

2.3571450+001

2.2967040+001

3.4937186+001

3.4896949+001

4.8387911+001

4.8386759+001

6.3800316+001

6.3800304+001

2.5434852+000

2.5462858+000

6.9523781+000

7.0695381+000

9.1078175+000

1.0754678+001

8.0621461+000

1.5326859+001

1.0929975+001

2.3099305+001

2.1394553+001

3.4283203+001

3.4098524+001

4.7822484+001

4.7813677+001

6.3320400+001

6.3320199+001

8.0777248+001

8.0777246+001

2.8420274+000

2.8429617+000

7.9002325+000

7.9460309+000

1.1144914+001

2.4728055+002

2.3804232+002

6.0915707+002

6.0830362+002

1.2880468+003

1.2880255+003

1.1616616+001

1.1363087+001

4.5172327+001

4.5992322+001

6.1701960+001

1.0753954+002

7.8459448+001

2.5405152+002

2.2699084+002

6.0111706+002

5.9639270+002

1.2679562+003

1.2676906+003

2.3879803+003

2.3879755+003

1.5307372+001

1.5179746+001

6.3192866+001

6.2867064+001

1.0592427+002

1.3620003+002

1.0631946+002

2.7406192+002

2.1744859+002

6.0055380+002

5.8249058+002

1.2509643+003

1.2492140+003

2.3560664+003

2.3559971+003

4.0761067+003

4.0761057+003

1.9551313+001

1.9492689+001

8.3312301+001

8.2800516+001

1.6064762+002

1.7623069+002

1.6468267+002

3.1244233+002

2.2309681+002

6.1371592+002

5.6197258+002

1.2402267+003

1.2321898+003

2.3274188+003

2.3268908+003

4.0285304+003

4.0285145+003

6.5321419+003

6.5321417+003

2.4337853+001

2.4312718+001

1.0586177+002

1.0548114+002

2.2053906+002

4.1361562+003

3.9794194+003

1.5191990+004

1.5169548+004

4.6331043+004

4.6330224+004

1.1097899+002

1.1545250+002

5.5307826+002

5.9536445+002

9.8107504+002

1.6313950+003

1.3198721+003

4.7087274+003

4.2222198+003

1.5354722+004

1.5228872+004

4.5511908+004

4.5501726+004

1.1690243+005

1.1690218+005

1.7110056+002

1.7415260+002

9.0533346+002

9.4097435+002

1.9453301+003

2.5064668+003

2.2763285+003

5.8774516+003

4.7696384+003

1.6246489+004

1.5749099+004

4.5525651+004

4.5458075+004

1.1507689+005

1.1507324+005

2.6061592+005

2.6061586+005

2.4892833+002

2.5074724+002

1.3741604+003

1.4012368+003

3.3729433+003

3.7849318+003

4.1966833+003

7.8592452+003

5.9561643+003

1.8191265+004

1.6684042+004

4.6729054+004

4.6412608+004

1.1464206+005

1.1461413+005

2.5697046+005

2.5696936+005

5.2857600+005

5.2857598+005

3.4668751+002

3.4766755+002

1.9747072+003

1.9931510+003

5.2548202+003

71
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.3

10 3, 8

00000 -CONTINUED

8.7587568 +000 1.1964520+001 2.2679654+002 5.5259595+003

10 3, 7 1.7471082+001 1.0580629+001 2.6119504+002 7.6053632+003

10 4, 7 1.8785187+001 1.6055316+001 3.7315094+002 1.0887219+004

10 4, 6 2.3394463+001 1.0666013+001 2.6233879+002 8.4484532+003

10 5, 6 2.8209867+001 2.2836009+001 6.4881453+002 2.1603187+004

10 5, 5 2.9462112+001 1.9209460+001 5.3567165+002 1.8046995+004

10 6, 5 3.8572566+001 3.3530204+001 1.2409099+003 4.95592074004

10 6, 4 3.8713840+001 3.2880339+001 1.2124641+003 4.8399193+004

10 7, 4 5.0853798+001 4.7103972+001 2.3046150+003 1.1609518+005

10 7, 3 5.0861763+001 4.7057175+001 2.3018137+003 1.1594523+005

10 8, 3 6.52535734001 6.2714316+001 3.9846528+003 2.5553430+005

10 8, 2 6.5253822+001 6.2712573+001 3.9845150+003 2.5552473+005

10 9, 2 8.1729906+001 8.0252537+001 6.4644612+003 5.2187300+005

10 9, 1 8.1729910+001 8.0252504+001 6.4644579+003 5.2187271+005

10 10, 1 1.0024023+002 9.9754134+001 9.9598052+003 9.9498612+005

10 10, 0 1.0024023+002 9.9754133+001 9.9598052+003 9.9498612+005

11 0,11 -2.0168000+001 3.1395657+000 2.9658557+001 4.6673098+002

11 1,11 -2.0167965+001 3.1398697+000 2.9648346+001 4.6721917+002

11 1,10 -5.3636297+000 8.8202799+000 1.3100056+002 2.7224301+003

11 2,10 -5.3613995+000 8.8373632+000 1.3077882+002 2.7338050+003

11 2, 9 7.6236637+000 1.2964818+001 2.8465078+002 7.6150501+003

11 3, 9 7.6796902+000 1.3334491+001 2.8651764+002 7.7827315+003

11 3, 8 1.8298004+001 1.3767454+001 3.8832148+002 1.2708095+004

11 4, 8 1.8968616+001 1.7236201+001 4.5786811+002 1.5183419+004

11 4, 7 2.5725703+001 1.1797167+001 3.5578426+002 1.3355815+004

11 5, 7 2.9127582+001 2.2966296+001 7.1475051+002 2.69901564004

11 5, 6 3.1671300+001 1.7045741+001 5.2316620+002 2.0444293+004

11 6, 6 3.9607842+001 3.2785038+001 1.2613660+003 5.4596212+004

11 6, 5 4.0032181+001 3.0967532+001 1.1807464+003 5.1133762+004

11 7, 5 5.1737939+001 4.6222628+001 2.2912530+003 1.1998467+005

11 7, 4 5.1771533+001 4.6030129+001 2.2797136+003 1.1935281+005

11 8, 4 6.5988232+001 6.1957135+001 3.9469809+003 2.5700917+005

11 8, 3 6.5989743+001 6.1946660+001 3.9461545+003 2.5695131+005

11 9, 3 8.2359896+001 7.9605731+001 6.4010133+003 5.1852089+005

11 9, 2 8.2359936+001 7.9605411+001 6.4009811+003 5.18518044005

11 10, 2 1.0079671+002 9.9184263+001 9.8670062+003 9.83437404005

11 10, 1 1.0079671+002 9.9184258+001 9.8670055+003 9.83437334005

11 11, 1 1.2126286+002 1.2073098+002 1.4586817+004 1.7632603+006

11 11, 0 1.2126286+002 1.2073098+002 1.4586817+004 1.7632603+006

12 0,12 -2.4541278+001 3.4366194+000 3.5508511+001 6.1144568+002

12 1,12 -2.4541268+001 3.4367163+000 3.5504539+001 6.11674004002

12 1,11 -8.2964325+000 9.7272314+000 1.5877559+002 3.6333610+003

12 2,11 -8.2957036+000 9.7333716+000 1.5866278+002 3.63980064003

12 2,10 6.1690864+000 1.4635795+001 3.5393320+002 1.0507887+004

12 3,10 6.1901007+000 1.4791280+001 3.5420047+002 1.0607211+004

12 3, 9 1.8540697+001 1.6923004+001 5.2999860+002 1.9326629+004

12 4, 9 1.8848362+001 1.8808025+001 5.6566301+002 2.0931690+004

12 4, 8 2.7854633+001 1.4557660+001 5.2205023+002 2.2143138+004

12 5, 8 2.9989709+001 2.3635294+001 8.1916188+002 3.49250874004

12 5, 7 3.4368070+001 1.5860240+001 5.5919623+002 2.54074584004

12 6, 7 4.0800919+001 3.2230972+001 1.3134583+003 6.26295844004

12 6, 6 4.1863962+001 2.8191189+001 1.1301500+003 5.42130694004

12 7, 6 5.2824653+001 4.5206793+001 2.2933049+003 1.2698013+005

12 7, 5 5.2941500+001 4.4561750+001 2.2544169+003 1.2477580+005

12 8, 5 6.6893055+001 6.1024143+001 3.9183086+003 2.6211433+005

12 8, 4 6.6900222+001 6.0975302+001 3.9144577+003 2.6184062+005

12 9, 4 8.3127542+001 7.8814247+001 6.3445045+003 5.1949819+005

12 9, 3 8.3127811+001 7.8812105+001 6.3442890+003 5.1947906+005

12 10, 3 1.0146786+002 9.8495678+001 9.7790092+003 9.7677376+005

12 10, 2 1.0146787+002 9.8495623+001 9.7790023+003 9.7677300+005

12 11, 2 1.2186381+002 1.2011567+002 1.4463324+004 1.7443837+006

72
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.3

12 11, 1

00000 -CONTINUED

1.2186381+002 1.2011567+002 1.4463324+004 1.7443837+006

12 12, 1 1.4428551+002 1.4370781+002 2.0664898+004 2.9728548+006

12 12, 0 1.4428551+002 1.4370781+002 2.0664898+004 2.9728548+006

13 0,13 -2.9338897+001 3.7334021+000 4.1885271+001 7.8321061+002

13 1,13 -2.9338894+001 3.7334325+000 4.1883781+001 7.8331200+002

13 1,12 -1.1655157+001 1.0627833+001 1.8919057+002 4.7239443+003

13 2,12 -1.1654923+001 1.0629975+001 1.8913813+002 4.7273348+003

13 2,11 4.2717546+000 1.6224894+001 4.2926496+002 1.3995998+004

13 3,11 4.2793344+000 1.6286937+001 4.2911923+002 1.4052486+004

13 3,10 1.8234257+001 1.9745300+001 6.7828215+002 2.7331259+004

13 4,10 1.8364831+001 2.0661016+001 6.9385749+002 2.8271624+004

13 4, 9 2.9511090+001 1.8601505+001 7.5840037+002 3.5723389+004

13 5, 9 3.0692231+001 2.4903387+001 9.6641504+002 4.5975854+004

13 5, 8 3.7313237+001 1.6358008+001 6.8059881+002 3.5365600+004

13 6, 8 4.2092934+001 3.2092370+001 1.4111997+003 7.4685919+004

13 6, 7 4.4330764+001 2.5010922+001 1.0794658+003 5.8262921+004

13 7, 7 5.4123849+001 4.4154982+001 2.3209739+003 1.3800334+005

13 7, 6 5.4468831+001 4.2358725+001 2.2114387+003 1.3149459+005

13 8, 6 6.7994880+001 5.9901237+001 3.9024160+003 2.7161998+005

13 8, 5 6.8022963+001 5.9714283+001 3.8876460+003 2.7054496+005

13 9, 5 8.4055269+001 7.7852292+001 6.2976220+003 5.2578336+005

13 9, 4 8.4056680+001 7.7841173+001 6.2965051+003 5.2568315+005

13 10, 4 1.0227116+002 9.7668561+001 9.6988134+003 9.7632532+005

13 10, 3 1.0227120+002 9.7668153+001 9.6987624+003 9.7631971+005

13 11, 3 1.2257700+002 1.1938435+002 1.4345217+004 1.7323970+006

13 11, 2 1.2257700+002 1.1938434+002 1.4345216+004 1.7323968+006

13 12, 2 1.4493112+002 1.4304684 +002 2.0504575+004 2.9433138+006

13 12, 1 1.4493112+002 1.4304684+002 2.0504575+004 2.9433138+006

13 13, 1 1.6930818+002 1.6868462+002 2.8469769+004 4.8068196+006

13 13, 0 1.6930818+002 1.6868462+002 2.8469769+004 4.8068196+006

14 0,14 -3.4560827+001 4.0300102+000 4.8787740+001 9.8438735+002

14 1,14 -3.4560826+001 4.0300196+000 4.8787197+001 9.8443046+002

14 1,13 -1.5439151+001 1.1525081+001 2.2223924+002 6.0107707+003

14 2,13 -1.5439078+001 1.1525809+001 2.2221643+002 6.0124496+003

14 2,12 1.9406657+000 1.7772170+001 5.1110894+002 1.8142244+004

14 3,12 1.9433154+000 1.7795919+001 5.1093919+002 1.8173027+004

14 3,11 1.7429441+001 2.2271576+001 8.3359314+002 3.6798007+004

14 4,11 1.7481778+001 2.2682599+001 8.3948152+002 3.7315680+004

14 4,10 3.0554826+001 2.2997538+001 1.0346970+003 5.3634070+004

14 5,10 3.1138770+001 2.6729362+001 1.1564289+003 6.0616524+004

14 5, 9 4.0195957+001 1.8944968+001 9.2226255+002 5.3607701+004

14 6, 9 4.3395093+001 3.2571128+001 1.5679004+003 9.1977967+004

14 6, 8 4.7408833+001 2.2587846+001 1.0834078+003 6.6197685+004

14 7, 8 5.5621488+001 4.3253950+001 2.3899206+003 1.5438732+005

14 7, 7 5.6495818+001 3.9115187+001 2.1327631+003 1.3818165+005

14 8, 7 6.9318211+001 5.8607255+001 3.9056906+003 2.8646025+005

14 8, 6 6.9412246+001 5.8001561+001 3.8575787+003 2.8284020+005

14 9, 6 8.5167958+001 7.6693354+001 6.2631903+003 5.3834711+005

14 9, 5 8.5174087+001 7.6645864+001 6.2584195+003 5.3791177+005

14 10, 5 1.0322613+002 9.6679735+001 9.6293262+003 9.8341944+005

14 10, 4 1.0322639+002 9.6677403+001 9.6290353+003 9.8338724+005

14 11, 4 1.2341797+002 1.1851956+002 1.4235812+004 1.7290604+006

14 11, 3 1.2341798+002 1.1851949+002 1.4235800+004 1.7290589+006

14 12, 3 1.4568700+002 1.4227206+002 2.0350235+004 2.9232242+006

14 12, 2 1.4568700+002 1.4227206+002 2.0350235+004 2.9232241+006

14 13, 2 1.6999860+002 1.6797784+002 2.8265922+004 4.7622461+006

14 13, 1 1.6999860+002 1.6797784+002 2.8265922+004 4.7622461+006

14 14, 1 1.9633086+002 1.9566141+002 3.8301150+004 7.5000700+006

14 14, 0 1.9633086+002 1.9566141+002 3.8301150+004 7.5000700+006

15 0,15 -4.0207054+001 4.3264932+000 5.6215461+001 1.2173233+003

15 1,15 -4.0207054+001 4.3264960+000 5.6215268+001 1.2173409+003

15 1,14 -1.9648092+001 1.2420334+001 2.5791607+002 7.5104110+003

73
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.3

15 2,14

00000 -CONTINUED

-1.9648069+001 1.2420577+001 2.5790665+002 7.5112000+003

15 2,13 -8.2001183-001 1.9297983+001 5.9965684+002 2.3008307+004

15 3,13 -8.1910920-001 1.9306770+001 5.9954549+002 2.3024364+004

15 3,12 1.6160499+001 2.4613851+001 9.9839185+002 4.7897792+004

15 4,12 1.6180577+001 2.4787862+001 1.0002865+003 4.8171465+004

15 4,11 3.0988511+001 2.7044530+001 1.3240207+003 7.4991542+004

15 5,11 3.1253252+001 2.8992490+001 1.3852528+003 7.9176468+004

15 5,10 4.2698242+001 2.3514976+001 1.2968276+003 8.2972824+004

15 6,10 4.4601416+001 3.3785240+001 1.7928168+003 1.1575795+005

15 6, 9 5.0896996+001 2.2017622+001 1.2074211+003 8.2975278+004

15 7, 9 5.7271134+001 4.2757251+001 2.5203267+003 1.7797427+005

15 7, 8 5.9173837+001 3.5007052+001 2.0256685+003 1.4464637+005

15 8, 8 7.0878157+001 5.7227166+001 3.9396792+003 3.0796116+005

15 8, 7 7.1152398+001 5.5545185+001 3.8047428+003 2.9736269+005

15 9, 7 8.6492131+001 7.5318739+001 6.2448955+003 5.5819648+005

15 9, 6 8.6514912+001 7.5145991+001 6.2275013+003 5.5657085+005

15 10, 6 1.0435460+002 9.5502562+001 9.5732772+003 9.9934753+005

15 10, 5 1.0435584+002 9.5491607+001 9.5719118+003 9.9919453+005

15 11, 5 1.2440390+002 1.1750101+002 1.4138338+004 1.7361371+006

15 11, 4 1.2440395+002 1.1750055+002 1.4138268+004 1.7361278+006

15 12, 4 1.4656712+002 1.4136789+002 2.0205507+004 2.9148602+006

15 12, 3 1.4656713+002 1.4136788+002 2.0205505+004 2.9148598+006

15 13, 3 1.7079765+002 1.6715906+002 2.8068665+004 4.7303355+006

15 13, 2 1.7079765+002 1.6715906+002 2.8068665+004 4.7303355+006

15 14, 2 1.9706619+002 1.9490870+002 3.8046527+004 7.4348705+006

15 14, 1 1.9706619+002 1.9490870+002 3.8046527+004 7.4348705+006

15 15, 1 2.2535355+002 2.2463819+002 5.04827614004 1.1348378+007

15 15, 0 2.2535355+002 2.2463819+002 5.0482761+004 1.1348378+007

KAPPA = - 0.4

2 0, 2

00000

-9.1339863-002 8.7350568-002 3.4940227-001 1.3976091+000

2 1, 2 4.7058824-001 1.0000000+000 1.0000000+000 1.0000000+000

2 1, 1 1.5294118+000 1.0000000+000 1.0000000+000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.0913399+000 3.9126494+000 1.5650598+001 6.2602391+001

3 0, 3 -4.2250121-001 3.4881403-001 1.3952561+000 5.5810245+000

3 1, 3 -1.1009937-001 1.0447757+000 1.4477567+000 5.0745863+000

3 1, 2 1.9921656+000 1.0753784+000 1.7537838+000 7.8594325+000

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.4225012+000 3.6511860+000 1.4604744+001 5.8418975+001

3 3, 1 9.0512758+000 8.9552243+000 8.0552243+001 7.2492541+002

3 3, 0 9.0666580+000 8.9246216+000 8.0246216+001 7.2214057+002

4 0, 4 -1.1083802+000 7.2723027-001 3.0116880+000 1.3691023+001

4 1, 4 -9.6165486-001 1.1550992+000 2.5509925+000 1.5114031+001

4 1, 3 2.4645085+000 1.3513295+000 4.5132953+000 3.2970987+001

4 2, 3 3.9277704+000 4.0713704+000 1.7427408+001 8.7980462+001

4 2, 2 5.0340157+000 3.3505716+000 1.4535600+001 7.6275426+001

4 3, 2 9.1969490+000 8.8449008+000 7.9449008+001 7.1488597+002

4 3, 1 9.3001974+000 8.6486705+000 7.7486705+001 6.9702901+002

4 4, 1 1.6072230+001 1.5928630+001 2.5457259+002 4.0720195+003

4 4, 0 1.6074365+001 1.5922198+001 2.5445271+002 4.0700336+003

5 0, 5 -2.1812792+000 1.1073754+000 4.9491752+000 2.8111479+001

5 1, 5 -2.1197545+000 1.3295172+000 4.3251385+000 3.2034882+001

5 1, 4 2.7952025+000 1.9824179+000 1.0957075+001 9.5051405+001

5 2, 4 3.7259804+000 4.2620517+000 2.1241034+001 1.5204937+002

5 2, 3 5.8885602+000 3.2099404+000 1.7318894+001 1.4094169+002

5 3, 3 9.3845167+000 8.7597342+000 8.0701655+001 7.8078678+002

5 3, 2 9.7634099+000 8.1079116+000 7.4101997+001 7.1862080+002

5 4, 2 1.6274020+001 1.5737948+001 2.5075897+002 4.0079506+003

5 4, 1 1.6292719+001 1.5682684+001 2.4973193+002 3.9909468+003

5 5, 1 2.5088179+001 2.4910749+001 6.2197321+002 1.5542178+004

5 5, 0 2.5088446+001 2.4909671+001 6.2194093+002 1.5541328+004

74
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0A

6 0, 6

00000 -CONTINUED

-3.6319484+000 1.4482056+000 7.2051119+000 5.1637119+001

6 1, 6 -3.6079405+000 1.5513171+000 6.6762484+000 5.6877568+001

6 1, 5 2.8208634+000 2.9806913+000 2.1769847+001 2.1494561+002

6 2, 5 3.3328959+000 4.6062400+000 2.8186756+001 2.7116620+002

6 2, 4 6.8758032+000 3.4116671+000 2.5711849+001 2.9934831+002

6 3, 4 9.5793490+000 8.7732282+000 8.6303879+001 9.7336967+002

6 3, 3 1.0559430+001 7.3553382+000 7.1552875+001 8.2431803+002

6 4, 3 1.6563516+001 1.5498984+001 2.4926862+002 4.1118391+003

6 4, 2 1.6652526+001 1.5245510+001 2.4454538+002 4.0322876+003

6 5, 2 2.5322709+001 2.4675455+001 6.1401987+002 1.5324753+004

6 5, 1 2.5325589+001 2.4663970+001 6.1367728+002 1.5315736+004

6 6, 1 3.6103588+001 3.5894776+001 1.2905446+003 4.6432995+004

6 6, 0 3.6103620+001 3.5894617+001 1.2905377.4003 4.6432727+004

7 0, 7 -5.4480311+000 1.7571071+000 9.8680681 +000 8.6316062+001

7 1, 7 -5.4391004+000 1.8015096+000 9.5114491+000 9.1366430+001

7 1, 6 2.4429075+000 4.1313329+000 3.5748131+001 4.0670474+002

7 2, 6 2.6914911+000 5.1089969+000 3.8561741+001 4.5800389+002

7 2, 5 7.8391005+000 4.1503879+000 4.3800234+001 6.3880410+002

7 3, 5 9.7267014+000 8.9636610+000 9.8374217+001 1.3503846+003

7 3, 4 1.1710346+001 6.6992249+000 7.4086863+001 1.0868374+003

7 4, 4 1.6941176+001 1.5264000+001 2.5272000+002 4.4893440+003

7 4, 3 1.7241197+001 1.4467513+001 2.3770141+002 4.2256040+003

7 5, 3 2.5652194+001 2.4355783+001 6.0803967+002 1.5425332+004

7 5, 2 2.5668890+001 2.4290417+001 6.0609164+002 1.5373609+004

7 6, 2 3.6367332+001 3.5627003+001 1.2767183+003 4.5868652+004

7 6, 1 3.6367734+001 3.5624992+001 1.2766303+003 4.5865276+004

7 7, 1 4.9119029+001 4.8879047+001 2.3920747+003 1.1713692+005

7 7, 0 4.9119033+001 4.8879025+001 2.3920734+003 1.1713685+005

8 0, 8 -7.6225258+000 2.0480776+000 1.2991581+001 1.3367787+002

8 1, 8 -7.6193146+000 2.0662039+000 1.2782901+001 1.3766009+002

8 1, 7 1.6468993+000 5.2309563+000 5.1583745+001 6.7986415+002

8 2, 7 1.7570546+000 5.7452998+000 5.2215497+001 7.2391125+002

8 2, 6 8.5914915+000 5.5533092+000 7.5394789+001 1.2813936+003

8 3, 6 9.7596424+000 9.3926427+000 1.1875130+002 1.9736614+003

8 3, 5 1.3130665+001 6.4886436+000 8.7757643+001 1.6440480+003

8 4, 5 1.7385802+001 1.5123558+001 2.6460357+002 5.2705499+003

8 4, 4 1.8171157+001 1.3281017+001 2.2902411+002 4.6022032+003

8 5, 4 2.6094579+001 2.3960179+001 6.0630266+002 1.6010790+004

8 5, 3 2.6163172+001 2.3699740+001 5.9851446+002 1.5799201+004

8 6, 3 3.6722609+001 3.5267849+001 1.2648163+003 4.5869546+004

8 6, 2 3.6725342+001 3.5254305+001 1.2642251+003 4.5846748+004

8 7, 2 4.9412152+001 4.8580975+001 2.3701631+003 1.1588189+005

8 7, 1 4.9412204+001 4.8580660+001 2.3701442+003 1.1588089+005

8 8, 1 6.4134534+001 6.3863293+001 4.0823646+003 2.6109599+005

8 8, 0 6.4134535+001 6.3863291+001 4.0823644+003 2.6109598+005

9 0, 9 -1.0152261+001 2.3303089+000 1.6589585+001 1.9521593+002

9 1, 9 -1.0151136+001 2.3374175+000 1.6478906+001 1.9794780+002

9 1, 8 4.5406044-001 6.2283944+000 6.9028051+001 1.0451131+003

9 2, 8 4.9986261-001 6.4748377+000 6.8778476+001 1.0806066+003

9 2, 7 8.9695783+000 7.4572280+000 1.1990341+002 2.3191085+003

9 3, 7 9.6091012+000 1.0086437+001 1.4854418+002 2.9041974+003

9 3, 6 1.4664496+001 6.9959519+000 1.2024553+002 2.7465784+003

9 4, 6 1.7852714+001 1.5186847+001 2.8888819+002 6.6112352+003

9 4, 5 1.9522117+001 1.1938181+001 2.2397079+002 5.2869554+003

9 5, 5 2.6658317+001 2.3535010+001 6.1236727+002 1.7290172+004

9 5, 4 2.6879672+001 2.2736960+001 5.8826371+002 1.6608396+004

9 6, 4 3.7189896+001 3.4803449+001 1.2566161+003 4.6677148+004

9 6, 3 3.7203032+001 3.4739461+001 1.2538225+003 4.6567961 +004

9 7, 3 4.9792455+001 4.8193637+001 2.3503882+003 1.1557646+005

9 7, 2 4.9792862+001 4.8191196+001 2.3502413+003 1.1556869+005

9 8, 2 6.4457527+001 6.3534866+001 4.0497173+003 2.5859101 +005

284-758 0-68—6 75
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.4

9 8, 1

00000 -CONTINUED

6.4457534+001 6.3534821+001 4.0497137+003 2.5859076+005

9 9, 1 8.1150086+001 8.0847498+001 6.5412215+003 5.2947623+005

9 9, 0 8.1150086+001 8.0847497+001 6.5412214+003 5.2947622+005

10 0,10 -1.3035922+001 2.6085283+000 2.0658340+001 2.7258059+002

10 1,10 -1.3035535+001 2.6112300+000 2.0603762+001 2.7427064+002

10 1, 9 -1.1152014+000 7.1489518+000 8.8330022+001 1.5143223+003

10 2, 9 -1.0970114+000 7.2594768+000 8.7905561+001 1.5408522+003

10 2, 8 8.8979954+000 9.4720869+000 1.7238469+002 3.7652305+003

10 3, 8 9.2136806+000 1.1027485+001 1.8787520+002 4.19728354003

10 3, 7 1.6115230+001 8.4431409+000 1.8064542+002 4.7898587+003

10 4, 7 1.8278352+001 1.5552952+001 3.2937012+002 8.6899614+003

10 4, 6 2.1269532+001 1.0968017+001 2.3459530+002 6.6089761+003

10 5, 6 2.7334446+001 2.3174227+001 6.3135448+002 1.9531225+004

10 5, 5 2.7922089+001 2.1234103+001 5.7165489+002 1.7741112+004

10 6, 5 3.7788789+601 3.4235393+001 1.2547455+003 4.8572012+004

10 6, 4 3.7838467+001 3.3999588+001 1.2444145+003 4.8158239+004

10 7, 4 5.0278206+001 4.7698666+001 2.3343793+003 1.1657103+005

10 7, 3 5.0280444+001 4.7685418+001 2.3335830+003 1.1652857+005

10 8, 3 6.4864201+001 6.3120509+001 4.0195253+003 2.5759536+005

10 8, 2 6.4864258+001 6.3120111+001 4.0194937+003 2.5759316+005

10 9, 2 8.1503320+001 8.0488392+001 6.4947873+003 5.2487119+005

10 9, 1 8.1503321+001 8.0488386+001 6.4947866+003 5.2487114+005

10 10, 1 1.0016567+002 9.9831669+001 9.9724535+003 9.9656182+005

10 10, 0 1.0016567+002 9.9831669+001 9.9724535+003 9.9656182+005

11 0,11 -1.6272976+001 2.8849231+000 2.5190446+001 3.6756566+002

11 1,11 -1.6272845+001 2.8859243+000 2.5165009+001 3.6853059+002

11 1,10 -3.0489333+000 8.0249874+000 1.0972403+002 2.0996883+003

11 2,10 -3.0419561+000 8.0721713+000 1.09381964002 2.1180159+003

11 2, 9 8.3820979+000 1.1341673+001 2.2911894+002 5.6099842+003

11 3, 9 8.5263392+000 1.2163762+001 2.3604609+002 5.9009079+003

11 3, 8 1.7276597+001 1.0838557 +001 2.7381337+002 8.1880543+003

11 4, 8 1.8589256+601 1.6284241+001 3.8889567+002 1.1696452+004

11 4, 7 2.3281727+001 1.0844096+001 2.7560806+002 9.1574298+003

11 5, 7 2.8091197+001 2.3008594+001 6.6966828+002 2.3073414+004

11 5, 6 2.9401492+001 1.9250984+001 5.5072778+002 1.9238691+004

11 6, 6 3.8533097+001 3.3598783+001 1.2634128+003 5.1903709+004

11 6, 5 3.8689197+001 3.2886941+001 1.2319662+003 5.0596704+004

11 7, 5 5.0889411+001 4.7079700 +001 2.3240917+003 1.1924119+005

11 7, 4 5.0899056+001 4.7023512+001 2.3207120+003 1.1905815+005

11 8, 4 6.5370203+001 6.2603185+001 3.9935148+003 2.5861276+005

11 8; 3 6.5370554+001 6.2600748+001 3.9933217+003 2.5859926+005

11 9, 3 8.1937564+001 8.0046203+001 6.4511596+003 5.2255257+005

11 9, 2 8.1937571+001 8.0046142+001 6.4511535+003 5.2255203+005

11 10, 2 1.0054940+002 9.9441619+001 9.9087948+003 9.8862906+005

11 10, 1 1.0054940+002 9.9441618+001 9.9087947+003 9.8862905+005

11 11, 1 1.2118128+002 1.2081582+002 1.4603869+004 1.7658694+006

11 11, 0 1.2118128+602 1.2081582+002 1.4603869+004 1.7658694+006

12 0,12 -1.9863206+001 3.1604563+000 3.0179971+001 4.8203953+002

12 1,12 -1.9863162+001 3.1608197+000 3.0168638+001 4.8255615+002

12 1,11 -5.3412316+000 8.8777793+000 1.3332862+002 2.8136987+003

12 2,11 -5.3386276+600 8.8971619+000 1.3311081+002 2.8254502+003

12 2,10 7.4537075+600 1.3030274+001 2.8950458+002 7.8726471+003

12 3,10 7.5160052+000 1.3431215+001 2.9202620+002 8.0579458+003

12 3, 9 1.7997663+001 1.3776964+001 3.9306085+002 1.3082600+004

12 4, 9 1.8712691+601 1.7389099+001 4.6868323+002 1.5811273+004

12 4, 8 2.5362802+001 1.1899412+001 3.63366314002 1.3857925+004

12 5, 8 2.8874127+001 2.3175873+001 7.34107364002 2.8328393+004

12 5, 7 3.1365314+001 1.7310586+001 5.41845354002 2.1636037+004

12 6, 7 3.9423867+001 3.2979122+001 1.2891375+003 5.7135973+004

12 6, 6 3.9842935+001 3.1186883+001 1.2088030+003 5.3625243+004

12 7, 6 5.1646315+001 4.6331375+001 2.3222805+003 1.2400725+005

12 7, 5 5.1680900+001 4.6134365+001 2.3103894+003 1.2334749+005

76
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0A

12 8, 5

L00000 -CONTINUED

6.5993105+001 6.1963934+001 3.9734871+003 2.6216435+005

12 8, 4 6.5994796+001 6.1952302+001 3.9725659+003 2.6209931+005

12 9, 4 8.2466326+001 7.9506086+001 6.4122521+003 5.2322456+005

12 9, 3 8.2466378+001 7.9505675+001 6.4122106+003 5.2322088+005

12 10, 3 1.0101207+002 9.8970734+001 9.8483036+003 9.8402473+005

12 10, 2 1.0101207+002 9.8970725+001 9.8483026+003 9.8402461+005

12 11, 2 1.2159568+002 1.2039463+002 1.4519165+004 1.7529053+006

12 11, 1 1.2159568+002 1.2039463+002 1.4519165+004 1.7529053+006

12 12, 1 1.4419690+002 1.4379995+002 2.0687278+004 2.9769822+006

12 12, 0 1.4419690+002 1.4379995+002 2.0687278+004 2.9769822+006

13 0,13 -2.3806517+001 3.4355466+000 3.5623236+001 6.1789215+002

13 1,13 -2.3806503+001 3.4356762+000 3.5618370+001 6.1815454+002

13 1,12 -7.9893602+000 9.7188087+000 1.5918531+002 3.6691817+003

13 2,12 -7.9884097+000 9.7265272+000 1.5906335+002 3.6762291+003

13 2,11 6.1391113+000 1.4589834+001 3.5424889+002 1.0595823+004

13 3,11 6.1649001+000 1.4774226+001 3.5490464+002 1.0709504+004

13 3,10 1.8229804+001 1.6715055+001 5.2566092+002 1.9322807+004

13 4,10 1.8586097+001 1.8821634+001 5.6813437+002 2.1186422+004

13 4, 9 2.7285871+001 1.4319704+001 5.1286784+002 2.1901978+004

13 5, 9 2.9612066+001 2.3785243+001 8.3060068+002 3.5758579+004

13 5, 8 3.3740674+001 1.6152010+001 5.7227068+002 2.6166712+004

13 6, 8 4.0442445+001 3.2514053+001 1.3409224+003 6.4892039+004

13 6, 7 4.1414879+001 2.8763158+001 1.1690324+003 5.6901424+004

13 7, 7 5.2566092+001 4.5475520+001 2.3334076+003 1.3138474+005

13 7, 6 5.2672810+001 4.4886968+001 2.2976340+003 1.2933190+005

13 8, 6 6.6752234+001 6.1184233+001 3.9614521+003 2.6878882+005

13 8, 5 6.6759015+001 6.1138269+001 3.9578080+003 2.6852729+005

13 9, 5 8.3104713+001 7.8850872+001 6.3799868+003 5.2760992+005

13 9, 4 8.3104988+001 7.8848698+001 6.3797674+003 5.2759031+005

13 10, 4 1.0156552+002 9.8406066+001 9.7931034+003 9.8370318+005

13 10, 3 1.0156553+002 9.8406002+001 9.7930953+003 9.8370229+005

13 11, 3 1.2208738+002 1.1989439+002 1.4437995+004 1.7446295+006

13 11, 2 1.2208738+002 1.1989439+002 1.4437995+004 1.7446295+006

13 12, 2 1.4464211+002 1.4334749+002 2.0577324+004 2.9566973+006

13 12, 1 1.4464211+002 1.4334749+002 2.0577324+004 2.9566973+006

13 13, 1 1.6921253+002 1.6878407+002 2.8498487+004 4.8131046+006

13 13, 0 1.6921253+002 1.6878407+002 2.8498487+004 4.8131046+006

14 0,14 -2.8102863+001 3.7103808+000 4.1518251+001 7.7700946+002

14 1,14 -2.8102859+001 3.7104264+000 4.1516225+001 7.7713697+002

14 1,13 -1.0992058+001 1.0553767+001 1.8730188+002 4.6792054+003

14 2,13 -1.0991718+001 1.0556763+001 1.8723915+002 4.6831912+003

14 2,12 4.4538471+000 1.6073396+001 4.2406264+002 1.3829523+004

14 3,12 4.4641725+000 1.6154460+001 4.2408168+002 1.3897066+004

14 3,11 1.7996670+001 1.9386464+001 6.6443578+002 2.6779460+004

14 4,11 1.8162682+001 2.0501098+001 6.8535293+002 2.7939440+004

14 4,10 2.8838532+001 1.7897173+001 7.2470704+002 3.4132322+004

14 5,10 3.0226849+001 2.4888699+001 9.6290284+002 4.5829299+004

14 5, 9 3.6352354+001 1.6340078+001 6.7102018+002 3.4723906+004

14 6, 9 4.1546856+001 3.2371233+001 1.4294216+003 7.5975039+004

14 6, 8 4.3504836+001 2.5904213+001 1.1241572+003 6.0773738+004

14 7, 8 5.3657312+001 4.4581353+001 2.3648454+003 1.4207255+005

14 7, 7 5.3946118+001 4.3064159+001 2.2715503+003 1.3648051+005

14 8, 7 6.7667849+001 6.0252598+001 3.9600788+003 2.7906582+005

14 8, 6 6.7691275+001 6.0096903+001 3.9476944+003 2.7815610+005

14 9, 6 8.3869558+001 7.8061167+001 6.3562626+003 5.3643679+005

14 9, 5 8.3870773+001 7.8051649+001 6.3553021+003 5.3634995+005

14 10, 5 1.0222289+002 9.7732713+001 9.7453254+003 9.8864411+005

14 10, 4 1.0222293+002 9.7732337+001 9.7452783+003 9.8863891+005

14 11, 4 1.2266691+002 1.1930367+002 1.4362693+004 1.7423002+006

14 11, 3 1.2266691+002 1.1930366+002 1.4362691+004 1.7423000+006

14 12, 3 1.4516327+002 1.4281742+002 2.0471276+004 2.9428366+006

14 12, 2 1.4516327+002 1.4281742+002 2.0471276+004 2.9428365+006

14 13, 2 1.6968865+002 1.6830023+002 2.8358699+004 4.7825020+006

77
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.400000 -CONTINUED

14 13, 1 1.6968865+002 1.6830023+002 2.8358699+004 4.7825020+006

14 14, 1 1.9622817+002 1.9576818+002 3.8337307+004 7.5093358+006

14 14, 0 1.9622817+002 1.9576818+002 3.8337307+004 7.5093358+006

15 0.15 -3.2752220+001 3.9850478+000 4.7864032+001 9.6126618+002

15 1,15 -3.2752218+001 3.9850636+000 4.7863211+001 9.6132586+002

15 1,14 -1.4348721+001 1.1385387+001 2.1767570+002 5.8569317+003

15 2,14 -1.4348600+001 1.1386525+001 2.1764538+002 5.8590738+003

15 2,13 2.4060046+000 1.7515329+001 4.9936869+002 1.7624299+004

15 3,13 2.4100281+000 1.7549704+001 4.9924255+002 1.7663170+004

15 3,12 1.7338466+001 2.1790980+001 8.0885566+002 3.5483855+004

15 4,12 1.7412026+001 2.2340659+001 8.1806281+002 3.6163374+004

15 4,11 2.9891769+001 2.1955081+001 9.7787488+002 5.0357060+004

15 5,11 3.0644010+001 2.6468310+001 1.1317245+003 5.8946741+004

15 5,10 3.8969294+001 1.8228223+001 8.6650143+002 4.9870677+004

15 6,10 4.2673728+001 3.2709018+001 1.5651919+003 9.1340050+004

15 6, 9 4.6120060+001 2.3444004+001 1.1129462+003 6.7242141+004

15 7, 9 5.4913031+001 4.3778438+001 2.4277760+003 1.5706113+005

15 7, 8 5.5604120+001 4.0412757+001 2.2171974+003 1.4375439+005

15 8, 8 6.8759004+001 5.9177956+001 3.9736784+003 2.9368593+005

15 8, 7 6.8830341+001 5.8716498+001 3.9367504+003 2.9088881+005

15 9, 7 8.4779416+001 7.7116785+001 6.3430422+003 5.5043416+005

15 9, 6 8.4784043+001 7.7081015+001 6.3394275+003 5.5010192+005

15 10, 6 1.0299870+002 9.6933458+001 9.7070326+003 9.9983319+005

15 10, 5 1.0299890+002 9.6931658+001 9.7068071+003 9.9980808+005

15 11, 5 1.2334584+002 1.1860945+002 1.4295617+004 1.7472103+006

15 11, 4 1.2334585+002 1.1860939+002 1.4295608+004 1.7472091+006

15 12, 4 1.4576987+002 1.4219951+002 2.0371675+004 2.9370200+006

15 12, 3 1.4576987+002 1.4219951+002 2.0371675+004 2.9370199+006

15 13, 3 1.7023959+002 1.6773998+002 2.8223190+004 4.7604982+006

15 13, 2 1.7023959+002 1.6773998+002 2.8223190+004 4.7604982+006

15 14, 2 1.9673527+002 1.9525288+002 3.8162714+004 7.4645784+006

15 14, 1 1.9673527+002 1.9525288+002 3.8162714+004 7.4645784+006

15 15, 1 2.2524382+002 2.2475228+002 5.0527544+004 1.1361665+007

15 15, 0 2.2524382+002 2.2475228+002 5.0527544+004 1.1361665+007

KAPPA - - 0.500000

2 0, 2 -6.0315015-002 5.8549313-002 2.3419725-001 9.3678901-001

2 1, 2 5.7142857-001 1.0000000+000 1.0000000+000 1.0000000+000

2 1, 1 1.4285714+000 1.0000000+000 1.0000000+000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.0603150+000 3.9414507+000 1.5765803+001 6.3063211+001

3 0, 3 -2.8571429-001 2.5000000-001 1.0000000+000 4.0000000+000

3 1, 3 1.0842876-001 1.0308567+000 1.3085672+000 3.8079617+000

3 1, 2 1.8145398+000 1.0471529+000 1.4715292+000 5.2909162+000

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.2857143+000 3.7500000+000 1.5000000+001 6.0000000+001

3 3, 1 9.0344284+000 8.9691433+000 8.0691433+001 7.2619204+002

3 3, 0 9.0426030+000 8.9528471+000 8.0528471+001 7.2470908+002

4 0, 4 -7.7486302-001 5.6633952-001 2.3201162+000 1.0156595+001

4 1, 4 -5.6301793-001 1.1109127+000 2.1091270+000 1.1093056+001

4 1, 3 2.2384214+000 1.2188233+000 3.1882329+000 2.0912920+001

4 2, 3 3.9525684+000 4.0470596+000 1.6941191+001 7.9812009+001

4 2, 2 4.7265165+000 3.4834723+000 1.4672402+001 7.0505812+001

4 3, 2 9.1344465+000 8.8890873+000 7.9890873+001 7.1890694+002

4 3, 1 9.1901500+000 8.7811767+000 7.8811767+001 7.0908708+002

4 4, 1 1.6047432+001 1.5952940+001 2.5505881+002 4.0801880+003

4 4, 0 1.6048346+001 1.5950188+001 2.5500748+002 4.0793376+003

5 0, 5 -1.5733402+000 9.2044599-001 3.9883570+000 2.0858596+001

5 1, 5 -1.4713690+000 1.2450790+000 3.4661475+000 2.3839689+001

5 1, 4 2.6034000+000 1.6292541+000 7.3475379+000 6.0187023+001

5 2, 4 3.8190550+000 4.1756479+000 1.9512959+001 1.2301771+002

78
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.500000 -CONTINUED

5 2, 3 5.3843040+000 3.2792497+000 1.5972181+001 1.0957163+002

5 3, 3 9.2708501+000 8.8130701+000 8.0507465+001 7.6017610+002

5 3, 2 9.4817030+000 8.4292668+000 7.6637213+001 7.2412233+002

5 4, 2 1.6180945+001 1.5824352+001 2.5248704+002 4.0369823+003

5 4, 1 1.6189036+001 1.5800304+001 2.5203946+002 4.0295698+003

5 5, 1 2.5057662+001 2.4941851+001 6.2302639+002 1.5570984+004

5 5, 0 2.5057754+001 2.4941479+001 6.2301525+002 1.5570691+004

6 0 , 6 -2.6835647+000 1.2525422+000 5.9107061+000 3.8148169+001

6 1 , 6 -2.6379693+000 1.4253754+000 5.3425889+000 4.2818381+001

6 1 , 5 2.7877618+000 2.3591904+000 1.5028241+001 1.3995813+002

6 2, 5 3.5557275+000 4.4163784+000 2.4355886+001 2.0548900+002

6 2, 4 6.2000704+000 3.2778274+000 2.0571322+001 2.0299106+002

6 3, 4 9.4267344+000 8.7869522+000 8.3851640+001 8.8398679+002

6 3, 3 1.0000000+001 7.8571429+000 7.4285714+001 7.9000000+002

6 4, 3 1.6376573+001 1.5652025+001 2.5119410+002 4.0996823+003

6 4, 2 1.6415786+001 1.5538078+001 2.4906990+002 4.0641066+003

6 5, 2 2.5211235+001 2.4787672+001 6.1780577+002 1.5428195+004

6 5, 1 2.5212238+001 2.4783667+001 6.1768604+002 1.5425042+004

6 6, 1 3.6067699+001 3.5931597+001 1.2924500+003 4.6510829+004

6 6, 0 3.6067708+001 3.5931553+001 1.2924481+003 4.6510754+004

7 0 . 7 -4.0957753+000 1.5528569+000 8.1281927+000 6.3852285+001

7 1 , 7 -4.0763722+000 1.6380250+000 7.6664355+000 6.9099343+001

7 1 , 6 2.6854578+000 3.3389608+000 2.6140545+001 2.7530935+002

7 2, 6 3.1186856+000 4.7855601+000 3.1894102+001 3.3819060+002

7 2, 5 7.0778835+000 3.6139754+000 3.0941022+001 3.9844560+002

7 3, 5 9.5704807+000 8.8668482+000 9.1434167+001 1.1303587+003

7 3, 4 1.0802762+001 7.1891574+000 7.3654492+001 9.4254903+002

7 4, 4 1.6641241+001 1.5457028+001 2.5267105+002 4.3352687+003

7 4. 3 1.6777706+001 1.5076320+001 2.4552067+002 4.2121116+003

7 5, 3 2.5428105+001 2.4573733+001 6.1370553+002 1.5488808+004

7 5, 2 2.5433993+001 2.4550492+001 6.1301139+002 1.5470423+004

7 6, 2 3.6240073+001 3.5757412+001 1.2834348+003 4.6142541+004

7 6, 1 3.6240186+001 3.5756847+001 1.2834101+003 4.6141591+004

7 7, 1 4.9077787+001 4.8921394+001 2.3951939+003 1.1731573+005

7 7, 0 4.9077788+001 4.8921389+001 2.3951936+003 1.1731572+005

8 0 , 8 -5.8020493+000 1.8304359+000 1.0699312+001 9.9341561+001

8 1 , 8 -5.7940760+000 1.8701662+000 1.0381117+001 1.0413877+002

8 1 , 7 2.2465151+000 4.3869216+000 3.9562425+001 4.7510448+002

8 2, 7 2.4691696+000 5.2789604+000 4.2241254+001 5.3085911+002

8 2, 6 7.8940115+000 4.4298171+000 5.0359544+001 7.7507526+002

8 3, 6 9.6590315+000 9.1066152+000 1.0476821+002 1.5443593+003

8 3, 5 1.1879473+001 6.6855256+000 7.8452256+001 1.2505461+003

8 4, 5 1.6970527+001 1.5287021+001 2.5902904+002 4.8270017+003

8 4, 4 1.7346959+001 1.4309582+001 2.4038013+002 4.4899451+003

8 5, 4 2.5722867+001 2.4295480+001 6.1192533+002 1.5857860+004

8 5, 3 2.5747537+001 2.4199886+001 6.0906427+002 1.5780934+004

8 6, 3 3.6472383+001 3.5522862+001 1.2755991+003 4.6140145+004

8 6 , 2 3.6473158+001 3.5519008+001 1.2754304+003 4.6133647+004

8 7, 2 4.9269320+001 4.8727738+001 2.3809253+003 1.1649764+005

8 7, 1 4.9269332+001 4.8727667+001 2.3809210+003 1.1649742+005

8 8, 1 6.4087920+001 6.3911157+001 4.0871306+003 2.6146199+005

8 8, 0 6.4087920 +001 6.3911157+001 4.0871306 +003 2.6146199 +005

9 0 . 9 -7.7979872+000 2.0949348+000 1.3655333+001 1.4577534+002

9 1 , 9 -7.7947949+000 2.1127266+000 1.3458808+001 1.4957655+002

9 1 , 8 1.4704298+000 5.3776894+000 5.4466224+001 7.4585763+002

9 2, 8 1.5772554+000 5.8746959+000 5.5248079+001 7.9259866+002

9 2, 7 8.5106656+000 5.7856971+000 8.1296823+001 1.4298195+003

9 3, 7 9.6430970+000 9.5455180+000 1.2511337+002 2.1739590+003

9 3, 6 1.3152793+001 6.5902071+000 9.3446795+001 1.8365436+003

9 4, 6 1.7345143+001 1.5212058+001 2.7291448+002 5.6764396+003

9 4, 5 1.8205941+001 1.3224715+001 2.3402456+002 4.9251091+003

9 5, 5 2.6107309+001 2.3964678+001 6.1428178+002 1.6662818+004

79
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.5

9 5. 4

00000 -CONTINUED

2.6189438+001 2.3655584+001 6.0497461+002 1.6405733+004

9 6. 4 3.6778626+001 3.5215456+001 1.2699608+003 4.6661463+004

9 6. 3 3.6782404+001 3.5196870+001 1.2691473+003 4.6629843+004

9 7, 3 4.9517733+001 4.8476188+001 2.3680107+003 1.1629618+005

9 7. 2 4.9517826+001 4.8475630+001 2.3679770+003 1.1629440+005

9 8, 2 6.4298976+001 6.3697791+001 4.0658767+003 2.5982950+005

9 8. 1 6.4298977+001 6.3697783+001 4.0658760+003 2.5982945+005

9 9, 1 8.1098084+001 8.0900889+001 6.5481354+003 5.3016246+005

9 9, 0 8.1098084+001 8.0900889+001 6.5481354+003 5.3016246+005

10 0,10 -1.0081464+001 2.3526099+000 1.7004637+001 2.0433001+002

10 1.10 -1.0080211+001 2.3603282+000 1.6892482+001 2.0703890+002

10 1, 9 3.7394183-001 6.2857508+000 7.0730477+001 1.0953687+003

10 2, 9 4.2270720-001 6.5431550+000 7.0648775+001 1.1326716+003

10 2, 8 8.8143195+000 7.5282598+000 1.2281704+002 2.4280196+003

10 3, 8 9.4731679+000 1.0198105+001 1.5321528+002 3.0666024+003

10 3. 7 1.4503777+001 7.0980356+000 1.2461072 +002 2.9087639+003

10 4, 7 1.7730756+001 1.5311030+001 2.9724025+002 7.0043005+003

10 4, 6 1.9406012+001 1.2044041+001 2.3117218+002 5.6274317+003

10 5, 6 2.6586068+001 2.3619659+001 6.2349433+002 1.8063075+004

10 5, 5 2.6815074+001 2.2797382+001 5.9844643+002 1.7342451+004

10 6, 5 3.7173652+001 3.4826348+001 1.2678417+003 4.7883618+004

10 6. 4 3.7188238+001 3.4755696+001 1.2647427+003 4.7761215+004

10 7, 4 4.9834923+001 4.8154336+001 2.3574884+003 1.1694654+005

10 7. 3 4.9835440+001 4.8151261+001 2.3573029+003 1.1693668+005

10 8, 3 6.4564615+001 6.3428866+001 4.0461855+003 2.5917662+005

10 8. 2 6.4564625+001 6.3428793+001 4.0461796+003 2.5917621+005

10 9. 2 8.1328909+001 8.0667571+001 6.5179096+003 5.2716175+005

10 9, 1 8.1328909+001 8.0667570+001 6.5179095+003 5.2716174+005

10 10, 1 1.0010827+002 9.9890601+001 9.9820837+003 9.9776279+005

10 10, 0 1.0010827+002 9.9890601+001 9.9820837+003 9.9776279+005

11 0,11 -1.2651512+001 2.6068805+000 2.0745011+001 2.7628092+002

11 1,11 -1.2651029+001 2.6101446+000 2.0684745+001 2.7805910+002

11 1,10 -1.0280190+000 7.1305149+000 8.8533913+001 1.5325775+003

11 2.10 -1.0065688+000 7.2568800+000 8.8197146+001 1.5608120+003

11 2, 9 8.7525337+000 9.3660717+000 1.7114421+002 3.7768456+003

11 3, 9 9.1051603+000 1.1050409+001 1.8917162+002 4.2658318+003

11 3, 8 1.5787770+001 8.3711311+000 1.7884487+002 4.7777413+003

11 4. 8 1.8081121+001 1.5654563+001 3.3478678+002 8.9482561+003

11 4, 7 2.0926231+001 1.1162662+001 2.4099256+002 6.8577508+003

11 5, 7 2.7152028+001 2.3329724+001 6.4332615+002 2.0261012+004

11 5, 6 2.7701288+001 2.1501970+001 5.8660873+002 1.8537852+004

11 6, 6 3.7671499+001 3.4357793+001 1.2711612+003 5.0012907+004

11 6, 5 3.7718733+001 3.4134077+001 1.2612995+003 4.9613618+004

11 7. 5 5.0234211+001 4.7748907+001 2.3505028+003 1.1870023+005

11 7, 4 5.0236473+001 4.7735577+001 2.3496987+003 1.1865704+005

11 8, 4 6.4894920+001 6.3093606+001 4.0292050+003 2.5984369+005

11 8, 3 6.4894985+001 6.3093152+001 4.0291689+003 2.5984117+005

11 9, 3 8.1612590+001 8.0380519+001 6.4894633+003 5.2564316+005

11 9, 2 8.1612591+001 8.0380510+001 6.4894624+003 5.2564308+005

11 10, 2 1.0035903+002 9.9637157+001 9.9406499+003 9.9259433+005

11 10, 1 1.0035903+002 9.9637157+001 9.9406499+003 9.9259433+005

11 11, 1 1.2111847+002 1.2088030+002 1.4616851+004 1.7678577+006

11 11, 0 1.2111847+002 1.2088030+002 1.4616851+004 1.7678577+006

12 0.12 -1.5507702+001 2.8594678+000 2.4871524+001 3.6299187+002

12 1.12 -1.5507518+001 2.8608197+000 2.4840645+001 3.6408486+002

12 1.11 -2.7262027+000 7.9360529+000 1.0805366+002 2.0668505+003

12 2,11 -2.7170354+000 7.9955999+000 1.0772818+002 2.0870562+003

12 2.10 8.3272972+000 1.1098581+001 2.2328726+002 5.4652641+003

12 3,10 8.5042776+000 1.2065829+001 2.3253002+002 5.8098105+003

12 3, 9 1.6852718+001 1.0434254+001 2.6038650+002 7.7745356+003

12 4, 9 1.8343419+001 1.6289463+001 3.8773558+002 1.1655309+004

12 4, 8 2.2673861+001 1.0936743+001 2.7449643+002 9.0587496+003

80
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.5

12 5, 8

00000 -CONTINUED

2.7783232+001 2.3188285+001 6.7841641+002 2.3510672+004

12 5, 7 2.8930893+001 1.9792874+001 5.7026562+002 2.0002671 +004

12 6, 7 3.8282442+001 3.3833870+001 1.2828795+003 5.3304304+004

12 6, 6 3.8415050+001 3.3226346+001 1.2558633+003 5.2171982+004

12 7, 6 5.0730045+001 4.7248003+001 2.3484114+003 1.2182742+005

12 7, 5 5.0738334+001 4.7199818+001 2.3454990+003 1.2166848+005

12 8, 5 6.5301190+001 6.2679689+001 4.0161281+003 2.6218916+005

12 8, 4 6.5301508+001 6.2677485+001 4.0159530+003 2.6217686+005

12 9, 4 8.1957827+001 8.0030456+001 6.4640769+003 5.2608177+005

12 9, 3 8.1957835+001 8.0030394+001 6.4640706+003 5.2608122+005

12 10, 3 1.0066131+002 9.9331396+001 9.9012148+003 9.8958091+005

12 10, 2 1.0066131+002 9.9331395+001 9.9012147+003 9.8958090+005

12 11, 2 1.2138928+002 1.2060661+002 1.4561725+004 1.7594122+006

12 11, 1 1.2138928+002 1.2060661+002 1.4561725+004 1.7594122+006

12 12, 1 1.4412868+002 1.4386998+002 2.0704314+004 2.9801273+006

12 12, 0 1.4412868+002 1.4386998+002 2.0704314+004 2.9801273+006

13 0,13 -1.8649839+001 3.1112024+000 2.9379814+001 4.6587739+002

13 1,13 -1.8649770+001 3.1117526+000 2.9364593+001 4.6651401+002

13 1,12 -4.7156332+000 8.7194188+000 J. 2939268 +002 2.7077760+003

13 2,12 -4.7118050+000 8.7465801+000 1.2915590+002 2.7214579+003

13 2,11 7.5615246+000 1.2679975+001 2.7845471+002 7.5021779+003

13 3,11 7.6461684+000 1.3198170+001 2.8256744+002 7.7322677+003

13 3,10 1.7577779+001 1.3033782+001 3.6575645+002 1.2056741+004

13 4.10 1.8464514+001 1.7228063+001 4.5724528+002 1.5268782+004

13 4, 9 2.4510896+001 1.1624424+001 3.4382767+002 1.2901802+004

13 5, 9 2.8442724+001 2.3295705+001 7.3377738+002 2.8119133+004

13 5, 8 3.0550594+001 1.8003106+001 5.5971942+002 2.2065735+004

13 6, 8 3.9008934+001 3.3310697+001 1.3074541+003 5.8089877+004

13 6, 7 3.9337762+001 3.1878653+001 1.2429023+003 5.5260654+004

13 7, 7 5.1337163+001 4.6646219+001 2.3530568+003 1.2662873+005

13 7, 6 5.1363503+001 4.6495870+001 2.3439311+003 1.2611937+005

13 8, 6 6.5795987+001 6.2173490+001 4.0081903+003 2.6658530+005

13 8, 5 6.5797285+001 6.2164583+001 4.0074821+003 2.6653502+005

13 9, 5 8.2374277+001 7.9606773+001 6.4430695+003 5.2897603+005

13 9, 4 8.2374318+001 7.9606443+001 6.4430361+003 5.2897305+005

13 10, 4 1.0102275+002 9.8965214+001 9.8651936+003 9.8936433+005

13 10, 3 1.0102275+002 9.8965206+001 9.8651926+003 9.8936422+005

13 11, 3 1.2171054+002 1.2028172+002 1.4508817+004 1.7539993+006

13 11, 2 1.2171054+002 1.2028172+002 1.4508817+004 1.7539993+006

13 12. 2 1.4441963+002 1.4357596+002 2.0632761+004 2.9669143+006

13 12, 1 1.4441963+002 1.4357596+002 2.0632761+004 2.9669143+006

13 13. 1 1.6913890+002 1.6885966+002 2.8520347+004 4.8178931+006

13 13, 0 1.6913890+002 1.6885966+002 2.8520347+004 4.8178931+006

14 0.14 -2.2077834+001 3.3624790+000 3.4266886+001 5.8637104+002

14 1.14 -2.2077808+001 3.3626996+000 3.4259621+001 5.8672553+002

14 1.13 -6.9937882+000 9.4906867+000 1.5259610+002 3.4651392+003

14 2.13 -6.9922198+000 9.5027498+000 1.5244629+002 3.4739357+003

14 2.12 6.4766615+000 1.4140858+001 3.3703454+002 9.9163622+003

14 3,12 6.5156740+000 1.4404479+001 3.3857694+002 1.0064663+004

14 3,11 1.7908341+001 1.5754540+001 4.8551319+002 1.7541279+004

14 4,11 1.8396745+001 1.8446178+001 5.4326174+002 1.9914598+004

14 4,10 2.6274610+001 1.3402407+001 4.6134406+002 1.9285025+004

14 5,10 2.9081568+001 2.3738215+001 8.1406295+002 3.4435625+004

14 5, 9 3.2530422+001 1.6675008+001 5.7420314+002 2.5546805+004

14 6. 9 3.9841388+001 3.2879371+001 1.3510345+003 6.4808902+004

14 6, 8 4.0567886+001 2.9953688+001 1.2165795+003 5.8588887+004

14 7, 8 5.2068820+001 4.5953563+001 2.3672713+003 1.3346360+005

14 7, 7 5.2143094+001 4.5540196+001 2.3420076+003 1.3201079+005

14 8, 7 6.6393069+001 6.1561260+001 4.0067339+003 2.7341796+005

14 8, 6 6.6397653+001 6.1530174+001 4.0042573+003 2.7323939+005

14 9, 6 8.2872633+001 7.9097354+001 6.4277654+003 5.3484036+005

14 9, 5 8.2872820+001 7.9095882+001 6.4276163+003 5.3482697+005

14 10, 5 1.0145174+002 9.8529461 +001 9.8340478+003 9.9261696+005

81
TABLE II. -EXPECTATION VALUES -CONTINUED

K.4PPA = -0.500000 -CONTINUED

14 10, 4 1.0145175+002 9.8529416+001 9.8340420+003 9.9261633+005

14 11, 4 1.2208907+002 1.1989846+002 1.4459679+004 1.7524623+006

14 11, 3 1.2208907+002 1.1989845+002 1.4459678+004 1.7524623+006

14 12, 3 1.4476016+002 1.4323165+002 2.0563650+004 2.9578530+006

14 12, 2 1.4476016+002 1.4323165+002 2.0563650+004 2.9578530+006

14 13, 2 1.6945004+002 1.6854523+002 2.8429385+004 4.7979617+006

14 13, 1 1.6945004+002 1.6854523+002 2.8429385+004 4.7979617+006

14 14, 1 1.9614912+002 1.9584933+002 3.8364826+004 7.5163947+006

14 14, 0 1.9614912 +002 1.9584933+002 3.8364826+004 7.5163947+006

15 0,15 -2.5791638+001 3.6134872+000 3.9530934+001 7.2590739+002

15 1,15 -2.5791629+001 3.6135745+000 3.9527559+001 7.2609740+002

15 1,14 -9.5594070+000 1.0255332+001 1.7767839+002 4.3488732+003

15 2,14 -9.5587746+000 1.0260571+001 1.7759159+002 4.3542683+003

15 2,13 5.0869062+000 1.5523324+001 3.9960305+002 1.2745023+004

15 3,13 5.1043664+000 1.5652164+001 4.0002878 +002 1.2838055+004

15 3,12 1.7848770+001 1.8311220+001 6.1212003+002 2.4090069+004

15 4,12 1.8101943+001 1.9891863 +001 6.4470962+002 2.5694008+004

15 4,11 2.7799833+001 1.6247824+001 6.3298185+002 2.9046905+004

15 5,11 2.9644162+001 2.4569433+001 9.2276448+002 4.2825229+004

15 5,10 3.4764040+001 1.6286252+001 6.3558465+002 3.1733051+004

15 6,10 4.0755368+001 3.2656458+001 1.4211426+003 7.4026968+004

15 6, 9 4.2189044+001 2.7520424+001 1.1790275+003 6.2125139+004

15 7, 9 5.2933851+001 4.5207206+001 2.3955820+003 1.4279990+005

15 7, 8 5.3122339+001 4.4195239+001 2.3330945+003 1.3906948+005

15 8, 8 6.7107017+001 6.0832302+001 4.0134208+003 2.8309708+005

15 8, 7 6.7121383+001 6.0736358+001 4.0057493+003 2.8253246+005

15 9, 7 8.3464710+001 7.8488553+001 6.4194687+003 5.4419764+005

15 9, 6 8.3465433+001 7.8482892+001 6.4188949+003 5.4414557+005

15 10, 6 1.0195752+002 9.8013750+001 9.8092486+003 1.0000332+006

15 10, 5 1.01957554002 9.8013527+001 9.8092205+003 1.0000301+006

15 11, 5 1.2253229+002 1.1944880+002 1.4415911+004 1.7556839+006

15 11, 4 1.2253229+002 1.1944879+002 1.4415910+004 1.7556837+006

15 12, 4 1.4515641+002 1.4283060+002 2.0498662+004 2.9540269+006

15 12, 3 1.4515641+002 1.4283060+002 2.0498662+004 2.9540269+006

15 13, 3 1.6981005+002 1.6818128+002 2.8341090+004 4.7835835+006

15 13. 2 1.6981005+002 1.6818128+002 2.8341090+004 4.7835835+006

15 14, 2 1.9648051+002 1.9551445+002 3.8251225+004 7.4872475+006

15 14, 1 1.9648051+002 1.9551445+002 3.8251225+004 7.4872475+006

15 15, 1 2.2515935+002 2.2483900+002 5.0561627+004 1.1371786+007

15 15, 0 2.2515935+002 2.2483900+002 5.0561627+004 1.1371786+007

KAPPA - - 0.600000

2 0, 2 -3.6700309-002 3.6038988-002 1.4415595-001 5.7662381-001

2 1, 2 6.6666667-001 1.0000000+000 1.0000000+000 1.0000000+000

2 1, 1 1.3333333+000 1.0000000+000 1.0000000+000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.0367003+000 3.9639610+000 1.5855844+001 6.3423376+001

3 0, 3 -1.7732422-001 1.6288269-001 6.5153077-001 2.6061231+000

3 1, 3 3.1201824-001 1.0195792+000 1.1957917+000 2.7817043+000

3 1, 2 1.6415005+000 1.0272668+000 1.2726685+000 3.4812832+000

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.1773242+000 3.8371173+000 1.5348469+001 6.1393877+001

3 3, 1 9.0213151+000 8.9804208+000 8.0804208+001 7.2721830+002

3 3, 0 9.0251662+000 8.9727332+000 8.0727332+001 7.2651872+002

4 0, 4 -4.9652292-001 4.0142663-001 1.6300585+000 6.9098660+000

4 1, 4 -1.9569178-001 1.0729122+000 1.7291223+000 7.6350130+000

4 1, 3 2.0000000+000 1.1250000+000 2.2500000+000 1.2375000+001

4 2, 3 3.9712622+000 4.0286008+000 1.6572016+001 7.3609861+001

4 2, 2 4.4674509+000 3.6281786+000 1.4960696+001 6.7010497+001

4 3, 2 9.0845807+000 8.9270878+000 8.0270878+001 7.2236499+002

82
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -o.e 4 3, 1

>00000 -CONTINUED

9.1111111+000 8.8750000+000 7.9750000+001 7.1762500+002

4 4, 1 1.6028738+001 1.5971399+001 2.5542798+002 4.0863901+003

4 4, 0 1.6029072+001 1.5970395+001 2.5540925+002 4.0860796+003

5 0, 5 -1.0441530+000 7.0712917-001 2.9814940+000 1.4373613+001

5 1, 5 -8.7711200-001 1.1676643+000 2.6833034+000 1.6490565+001

5 1, 4 2.3534576+000 1.3624532+000 4.6433167+000 3.4640710+001

5 2, 4 3.8898991 +000 4.1081170+000 1.8162339+001 1.0032730+002

5 2, 3 4.9310751+000 3.4098704+000 1.5346358+001 8.8695452+001

5 3, 3 9.1756233+000 8.8673457+000 8.0505724+001 7.4605781+002

5 3, 2 9.2783608+000 8.6726620+000 7.8548864+001 7.2799077+002

5 4, 2 1.6110101+001 1.5891883+001 2.5383766+002 4.0596727+003

5 4, 1 1.6113078+001 1.5883000+001 2.5367215+002 4.0569309+003

5 5, 1 2.5034822+001 2.4964990+001 6.2381097+002 1.5592452+004

5 5, 0 2.5034848+001 2.4964885+001 6.2380782+002 1.5592369+004

6 0, 6 -1.8358688+000 1.0197879+000 4.5742311+000 2.6251899+001

6 1, 6 -1.7497302+000 1.3029101+000 4.0701423+000 3.0001266+001

6 1, 5 2.6259570+000 1.8190886+000 9.3489425+000 8.1069041+001

6 2, 5 3.7278229+000 4.2614311+000 2.1239507+001 1.5245044+002

6 2, 4 5.5490764+000 3.2846972+000 1.7468487+001 1.3960329+002

6 3, 4 9.2887603+000 8.8252359+000 8.2277153+001 8.1896425+002

6 3, 3 9.5794539+000 8.3102000+000 7.7032555+001 7.6879763+002

6 4, 3 1.6231307+001 1.5779697+001 2.5289658+002 4.0949265+003

6 4, 2 1.6245921+001 1.5736652+001 2.5209380+002 4.0815381+003

6 5, 2 2.5127637+001 2.4871854+001 6.2065270+002 1.5506034+004

6 5, 1 2.5127922+001 2.4870711+001 6.2061850+002 1.5505133+004

6 6, 1 3.6040870 +001 3.5958872+001 1.2938639+003 4.6568623+004

6 6, 0 3.6040872 +001 3.5958863+001 1.2938635+003 4.6568607+004

7 0, 7 -2.8685775+000 1.3105979+000 6.3778902+000 4.3937140+001

7 1, 7 -2.8263846+000 1.4713556+000 5.8542587+000 4.8824998+001

7 1, 6 2.7330516+000 2.5259976+000 1.6964781+001 1.6457822+002

7 2, 6 3.4548865+000 4.5067265+000 2.6207710+001 2.3835812+002

7 2, 5 6.2714507+000 3.3460272+000 2.2640787+001 2.4223111+002

7 3, 5 9.4092121+000 8.8349390+000 8.6532567+001 9.6600626+002

7 3, 4 1.0070305+001 7.7870186 +000 7.5623176+001 8.5557184+002

7 4, 4 1.6400189+001 1.5639142+001 2.5335923+002 4.2310299+003

7 4, 3 1.6452177+001 1.5489368+001 2.5055374+002 4.1834300+003

7 5, 3 2.5259103+001 2.4740962+001 6.1810626+002 1.5540734+004

7 5, 2 2.5260796+001 2.4734241+001 6.1790518+002 1.5535417+004

7 6, 2 3.6144925+001 3.5854132+001 1.2884331+003 4.6346612+004

7 6, 1 3.6144950+001 3.5854007+001 1.2884276+003 4.6346402+004

7 7, 1 4.9046959+001 4.8952744+001 2.3975069+003 1.1744844+005

7 7, 0 4.9046959+001 4.8952743+001 2.3975069+003 1.1744843+005

*8 0, 8 -4.1353404+000 1.5772138+000 8.4260199+000 6.8619531+001

8 1, 8 -4.1154129+000 1.6634398+000 7.9883224+000 7.3818524+001

8 1, 7 2.6077458+000 3.4112931+000 2.7248321+001 2.9562518+002

8 2, 7 3.0416692+000 4.8522191+000 3.3322739+001 3.6594758+002

8 2, 6 7.0280973+000 3.6886292+000 3.2738654+001 4.3532282+002

8 3, 6 9.5136965+000 8.9348601+000 9.4318346+001 1.2161431+003

8 3, 5 1.0783342+001 7.2152717+000 7.5905355+001 1.0169533+003

8 4, 5 1.6620090+001 1.5488284+001 2.5632305+002 4.5161521+003

8 4, 4 1.6768830+001 1.5075519+001 2.4851883+002 4.3796094+003

8 5, 4 2.5439145+001 2.4565344+001 6.1677656+002 1.5758498+004

8 5, 3 2.5446339+001 2.4537091+001 6.1593029+002 1.5735921+004

8 6, 3 3.6285164+001 3.5712909+001 1.2836899+003 4.6344329+004

8 6, 2 3.6285337+001 3.5712049+001 1.2836522+003 4.6342877+004

8 7, 2 4.9162571+001 4.8836356+001 2.3889168+003 1.1695554+005

8 7, 1 4.9162573+001 4.8836344+001 2.3889160+003 1.1695550+005

8 8, 1 6.4053076+001 6.3946589+001 4.0906643+003 2.6173357+005

8 8, 0 6.4053076+001 6.3946589+001 4.0906643+003 2.6173357+005

83
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.6

9 0, 9

00000 -CONTINUED

-5.6308637+000 1.8262132+000 1.0756613+001 1.0125383+002

9 1, 9 -5.6217022+000 1.8705522+000 1.0435836+001 1.06039154002

9 1, 8 2.2193702+000 4.3464261+000 3.9384936+001 4.8010639+002

9 2, 8 2.4622248+000 5.2936713+000 4.2653132 4001 5.4246698+002

9 2, 7 7.7324561+000 4.4102925+000 5.0111168+001 7.7861203+002

9 3, 7 9.5724357+000 9.1608968+000 1.0666858+002 1.6018400+003

9 3, 6 1.1706890+001 6.7796707+000 8.0567268+001 1.3051667+003

9 4, 6 1.6887132+001 1.5361224+001 2.6326504+002 5.0093150+003

9 4, 5 1.7246915+001 1.4422598+001 2.4523502+002 4.6790657+003

9 5, 5 2.5677587+001 2.4342846+001 6.1750512+002 1.6232151+004

9 5, 4 2.5702044+001 2.4248295+001 6.1466315+002 1.6155065+004

9 6, 4 3.6470166+001 3.5526756+001 1.2802116+003 4.6658111+004

9 6, 3 3.6471015+001 3.5522548+001 1.2800271+003 4.6650968+004

9 7, 3 4.9312467+001 4.8685290+001 2.38112944003 1.1683336+005

9 7, 2 4.9312483+001 4.8685194+001 2.3811236+003 1.1683305+005

9 8, 2 6.4180477+001 6.3818349+001 4.0778702+003 2.6075011+005

9 8, 1 6.4180477+001 6.3818348+001 4.0778701+003 2.60750104005

9 9, 1 8.1059213+001 8.0940415+001 6.5532611+003 5.3067161+005

9 9, 0 8.1059213+001 8.0940415+001 6.5532611+003 5.3067161+005

10 0,10 -7.3520114+000 2.0643097+000 1.3391764+001 1.4268770+002

10 1,10 -7.3478858+000 2.0863805+000 1.3176997+001 1.46640784002

10 1, 9 1.5672599+000 5.2419489+000 5.2763142+001 7.2219388+002

10 2, 9 1.6959456+000 5.8163650+000 5.41093504001 7.74742034002

10 2, 8 8.2894311+000 5.5575134+000 7.6607561+001 1.3438688+003

10 3, 8 9.5519859+000 9.5399197+000 1.2446585+002 2.1578281+003

10 3, 7 1.2788564 +001 6.6506725+000 9.2953997+001 1.8077795+003

10 4, 7 1.7188457+001 1.5305342+001 2.7599124+002 5.7817728+003

10 4, 6 1.7943654+001 1.3516231+001 2.4081945+002 5.0980547+003

10 5, 6 2.5982474+001 2.4081395+001 6.2151426+002 1.7049089+004

10 5, 5 2.6052882+001 2.3815611 -fOOl 6.1347241+002 1.6825307+004

10 6, 5 3.6709455+001 3.5287215+001 1.2786748+003 4.7394654+004

10 6, 4 3.6712783+001 3.5270877+001 1.2779574+003 4.7366612+004

10 7, 4 4.9503764+001 4.8492133+001 2.3747752+003 1.1722740+005

10 7, 3 4.9503854+001 4.8491596+001 2.3747428+003 1.17225684005

10 8, 3 6.4340781+001 6.3656850+001 4.06600214003 2.60355074005

10 8, 2 6.4340782+001 6.3656841+001 4.06600134003 2.6035501+005

10 9, 2 8.1198551+001 8.0800172+001 6.5350677+003 5.28864044005

10 9, 1 8.1198551+001 8.0800172+001 6.53506774003 5.28864044005

10 10, 1 1.0006536+002 9.9934228+001 9.98922254003 9.9865377+005

10 10, 0 1.0006536+002 9.9934228+001 9.9892225+003 9.9865377+005

11 0,11 -9.2971146+000 2.2961799+000 1.6339423+001 1.9377346+002

11 1,11 -9.2952872+000 2.3068852+000 1.62049274001 1.9677585+002

11 1,10 6.6262010-001 6.0724656+000 6.7227894+001 1.0269432+003

11 2,10 7.2806944-001 6.4003593+000 6.7519984+001 1.0695343+003

11 2, 9 8.6161056+000 7.04701484000 1.1202759+002 2.1855090+003

11 3, 9 9.4184368+000 1.0084309+001 1.4829838+002 2.9190995+003

11 3, 8 1.3949595+001 6.9661532+000 1.17146534002 2.6655422+003

11 4, 8 1.7502077+001 1.5374120+001 2.9649769+002 6.9177344+003

11 4, 7 1.8900148+001 1.2484685+001 2.3800435+002 5.7015438+003

11 5, 7 2.6357776+001 2.3804504+001 6.3056517+062 1.8316839+004

11 5, 6 2.6534979+001 2.3159443+001 6.1083694+002 1.7747860+004

11 6, 6 3.7013116+001 3.4987832+001 1.2799310+003 4.8672875+004

11 6, 5 3.7024114+001 3.4934492+001 1.2775822+003 4.8579657+004

11 7, 5 4.9744463+001 4.8248527+001 2.3705331 +003 1.1829483+005

11 7, 4 4.9744861+001 4.8246165+001 2.3703903+003 1.1828721+005

11 8, 4 6.4540002+001 6.3455810+001 4.05576674003 2.6075918+005

11 8, 3 6.4540010+001 6.3455749+001 4.0557618+003 2.60758844005

11 9, 3 8.1369759+001 8.0627742+001 6.5179245+003 5.2794581+005

11 9, 2 8.1369759+001 8.0627741+001 6.5179244+003 5.27945804005

11 10, 2 1.0021674+002 9.9781879+001 9.9642847+003 9.95540684005

11 10, 1 1.0021674+002 9.9781879+001 9.9642847+003 9.95540684005

11 11, 1 1.2107152+002 1.2092803+002 1.4626474+004 1.76933264006

11 11, 0 1.2107152+002 1.2092803+002 1.4626474+004 1.7693326+006

84
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA - -0.6

12 0,12

00000 -CONTINUED

—1.1465330 +001 2.5246382+000 1.9599787+001 2.5541623+002

12 1,12 -1.1464531+001 2.5297219+000 1.9519810+001 2.5754827+002

12 U1 -4.8325653-001 6.8471652+000 8.2870700+001 1.4004794+003

12 2,11 -4.5099698-001 7.0260052+000 8.2708611+001 1.4337573+003

12 2,10 8.6645368 +000 8.6837178+000 1.5398936+002 3.3179261+003

12 3,10 9.1404993+000 1.0789273+001 1.7836896+002 3.9187131+003

12 3, 9 1.5094060+001 7.8473904+000 1.5801475+002 4.0869725+003

12 4, 9 1.7798312+001 1.5618057+001 3.2676493+002 8.5135561+003

12 4, 8 2.0116291+001 1.1587499+001 2.4261240+002 6.6475263+003

12 5, 8 2.6800897+001 2.3554298+001 6.4705702+002 2.0169623+004

12 5, 7 2.7197914+001 2.2187462+001 6.0458865+002 1.8886930+004

12 6, 7 3.7390981+001 3.4627853+001 1.2851530+003 5.0629001+004

12 6, 6 3.7422756+001 3.4476361+001 1.2784490+003 5.0357124+004

12 7, 6 5.0043435+001 4.7945480+001 2.3691390+003 1.2020356+005

12 7, 5 5.0044915+001 4.7936762+001 2.3686113+003 1.2017512+005

12 8, 5 6.4784839+001 6.3208082+001 4.0479112+003 2.6218814+005

12 8, 4 6.4784882+001 6.3207781+001 4.0478873+003 2.6218646+005

12 9, 4 8.1578033+001 8.0417720+001 6.5026182+003 5.2821034+005

12 9, 3 8.1578033+001 8.0417714+001 6.5026175+003 5.2821028+005

12 10, 3 1.0039918+002 9.9598172+001 9.9405216+003 9.9371954+005

12 10, 2 1.0039918+002 9.9598172+001 9.9405216+003 9.9371953+005

12 11, 2 1.2123500+002 1.2076351+002 1.4593297+004 1.7642462+006

12 11, 1 1.2123500+002 1.2076351+002 1.4593297+004 1.7642462+006

12 12, 1 1.4407768+002 1.4392183+002 2.0716941+004 2.9824600+006

12 12, 0 1.4407768+002 1.4392183+002 2.0716941+004 2.9824600+006

13 0,13 -1.3856241+001 2.7512559+000 2.3170127+001 3.2857628+002

13 1,13 —1.3855896 +001 2.7536278+000 2.3124503+001 3.3000913+002

13 1,12 -1.8624677+000 7.5832350+000 9.9825469+001 1.8494527+003

13 2,12 -1.8469562+000 7.6773849+000 9.9538780+001 1.8744818+003

13 2,11 8.4249068+000 1.0289480+001 1.9987765+002 4.7315005+003

13 3,11 8.6918859+000 1.1634629+001 2.1450903+002 5.1863345+003

13 3,10 1.6116575+001 9.3629336+000 2.1982374+002 6.3235577+003

13 4,10 1.8042408+001 1.6075959+001 3.6851109+002 1.0674293+004

13 4, 9 2.1544545+001 1.1095829+001 2.6213435+002 8.2065758+003

13 5, 9 2.7300722+001 2.3389498+001 6.7399059+002 2.2774205+004

13 5, 8 2.8100025+001 2.0859601+001 5.9367592+002 2.0210618+004

13 6, 8 3.7851242+001 3.4217622+001 1.2960598+003 5.3426281+004

13 6, 7 3.7933304+001 3.3835637+001 1.2790261+003 5.2715348+004

13 7, 7 5.0410313+001 4.7574310+001 2.3714299+003 1.2313302+005

13 7, 6 5.0415110+001 4.7546330+001 2.3697324+003 1.2304026+005

13 8, 6 6.5082719+001 6.2905588+001 4.0432104+003 2.6488024+005

13 8, 5 6.5082898+001 6.2904352+001 4.0431119+003 2.6487330+005

13 9, 5 8.1829098+001 8.0164031+001 6.4899785+003 5.2997051+005

13 9, 4 8.1829102+001 8.0163996+001 6.4899750+003 5.2997020+005

13 10, 4 1.0061727+002 9.9378372+001 9.9187995+003 9.9358572+005

13 10, 3 1.0061727+002 9.9378371+001 9.9187994+003 9.9358571+005

13 11, 3 1.2142891+002 1.2056828+002 1.4561420+004 1.7609764+006

13 11, 2 1.2142891+002 1.2056828+002 1.4561420+004 1.7609764+006

13 12, 2 1.4425332+002 1.4374508+002 2.0673880+004 2.9745030+006

13 12, 1 1.4425332+002 1.4374508+002 2.0673880+004 2.9745030+006

13 13, 1 1.6908385+002 1.6891562+002 2.8536548+004 4.8214445+006

13 13, 0 1.6908385+002 1.6891562+002 2.8536548+004 4.8214445+006

14 0,14 -1.6469641+001 2.9768742+000 2.70473294001 4.1425230+002

14 1,14 -1.6469493+001 2.9779643+000 2.7022175+001 4.1517199+002

14 1,13 -3.4702397+000 8.2951209+000 1.1819053+002 2.3807309+003

14 2,13 -3.4629298+000 8.3432948+000 1.1792446+002 2.3988346+003

14 2,12 7.9091209+000 1.1784358+001 2.4837838+002 6.4225324+003

14 3,12 8.0524957+000 1.2590752+001 2.5629847+002 6.7480900+003

14 3,11 1.6919079+001 1.1436924+001 3.0317309+002 9.5725888+003

14 4,11 1.8197764+001 1.6768058+001 4.2294049+002 1.3507150+004

14 4,10 2.3102542+001 1.1218864+001 3.0475873+002 1.0780665+004

14 5,10 2.7836897+001 2.3377953+001 7.1476455+002 2.6332797+004

14 5, 9 2.9290484+001 1.9294735+001 5.8160683+002 2.1815263+004

85
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.600000 -CONTINUED

14 6, 9 3.8398459+001 3.3784500+001 1.3151786+003 5.7269648+004

14 6, 8 3.8590631+001 3.2920162+001 1.2762107+003 5.5583204 +004

14 7, 8 5.0855164+001 4.7128761+001 2.3784538+003 1.2727872+005

14 7, 7 5.0869054+001 4.7048808+001 2.3735845+003 1.2700762+005

14 8, 7 6.5441829+001 6.2539359+001 4.0424595+003 2.6908408+005

14 8, 6 6.5442470+001 6.2534958+001 4.0421083+003 2.6905911+005

14 9, 6 8.2129248+001 7.9859827+001 6.4808629+003 5.3355580+005

14 9, 5 8.2129268+001 7.9859670+001 6.4808470+003 5.3355437+005

14 10, 5 1.0087598+002 9.9117219+001 9.9000310+003 9.9555933+005

14 10, 4 1.0087598+002 9.9117216+001 9.9000306+003 9.9555928+005

14 11, 4 1.2165734+002 1.2033814+002 1.4531787+004 1.7600417+006

14 11, 3 1.2165734+002 1.2033814+002 1.4531787+004 1.7600417+006

14 12, 3 1.4445887+002 1.4353815+002 2.06322464004 2.9690315+006

14 12, 2 1.4445887+002 1.4353815+002 2.06322464004 2.9690315+006

14 13, 2 1.6927169+002 1.6872660+002 2.8481811+004 4.8094427+006

14 13, 1 1.6927169+002 1.6872660+002 2.8481811+004 4.8094427+006

14 14, 1 1.9609002+002 1.9590941+002 3.83852204004 7.5216295+006

14 14, 0 1.9609002+002 1.9590941+002 3.83852204004 7.5216295+006

15 0,15 -1.9305427+001 3.2019334+000 3.12288634001 5.1346293+002

15 1,15 -1.9305364+001 3.2024281+000 3.1215386+001 5.1403068+002

15 1,14 -5.3038808+000 8.9925792+000 1.3802133+002 3.0013064+003

15 2,14 -5.3004933+000 9.0166555+000 1.37820564002 3.0139068+003

15 2,13 7.1338898+000 1.3165478+001 2.9935581+002 8.4032167+003

15 3,13 7.2083187+000 1.3626033+001 3.0323009+002 8.6275203+003

15 3,12 1.7434700+001 1.3823793+001 4.0339208+002 1.3872698+004

15 4,12 1.8229246+001 1.7692421+001 4.90558524002 1.7113098+004

15 4,11 2.4686856+001 1.2115275+001 3.7943855+002 1.4931289+004

15 5,11 2.8380639+001 2.3585857+001 7.72832064002 3.1080707+004

15 5,10 3.0782842+001 1.7805154+001 5.7858105+002 2.4075404+004

15 6,10 3.9031264+001 3.3376804+001 1.3460471+003 6.2423345+004

15 6, 9 3.9442650+001 3.1617162+001 1.2655204+003 5.8782939+004

15 7, 9 5.1387805+001 4.6608772+001 2.3916812+003 1.3286337+005

15 7, 8 5.1424327+001 4.6402180+001 2.3790268+003 1.3214184+005

15 8, 8 6.5871117+001 6.2099890 +001 4.04648884003 2.7505745+005

15 8, 7 6.5873164+001 6.2085941+001 4.0453736+003 2.7497715+005

15 9, 7 8.2485382+001 7.9497390+001 6.4761385+003 5.3930877+005

15 9, 6 8.2485459+001 7.9496775+001 6.4760761 +003 5.3930315+005

15 10, 6 1.01180774002 9.8808859+001 9.8851625+003 1.0000821+006

15 10, 5 1.0118077+002 9.8808840+001 9.8851601+003 1.0000819+006

15 11, 5 1.2192469+002 1.2006846+002 1.4505394+004 1.7619914+006

15 11, 4 1.2192469+002 1.2006846+002 1.4505393+004 1.7619914+006

15 12, 4 1.4469801+002 1.4329728+002 2.0593059+004 2.9667104+006

15 12, 3 1.4469801+002 1.4329728+002 2.0593059+004 2.9667104+006

15 13, 3 1.6948900+002 1.6850786+002 2.8428626+004 4.8007635+006

15 13, 2 1.6948900+002 1.6850786+002 2.8428626+004 4.8007635+006

15 14, 2 1.9629008+002 1.95708094002 3.8316864+004 7.5040796+006

15 14, 1 1.9629008+002 1.95708094002 3.8316864+004 7.5040796+006

15 15, 1 2.2509620+002 2.2490320+002 5.0586884+004 1.1379291+007

15 15, 0 2.2509620+002 2.2490320+002 5.0586884+004 1.1379291+007

KAPPA - - 0.700000

2 0, 2 -1.9626129-002 1.9435408-002 7.7741632-002 3.1096653-001

2 1, 2 7.5675676-001 1.0000000+000 1.0000000+000 1.0000000+000

2 1, 1 1.2432432+000 1.00000004000 1. 0000000 4000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.0196261+000 3.9805646+000 1.5922258+001 6.3689033+001

3 0, 3 -9.6293992-002 9.1870694-002 3.6748278-001 1.4699311+000

3 1, 3 5.0190948-001 1.0109090 4000 1.1090900+000 1.9927191+000

3 1, 2 1.4733847+000 1.0139016+000 1.13901624000 2.2650478+000

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.0962940+000 3.90812934000 1.5632517+001 6.2530069+001

3 3, 1 9.0116040+000 8.98909104000 8.0890910+001 7.2800728+002

3 3, 0 9.0131018+000 8.9860984+000 8.0860984+001 7.2773495+002

86
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.7

4 0, 4

00000 -CONTINUED

-2.7738498-001 2.4487414-001 9.8763996-001 4.0808545+000

4 1, 4 1.4243021-001 1.0420101+000 1.4201011+000 4.8229201+000

4 1, 3 1.75365504-000 1.0626065+000 1.6260651+000 6.6971925+000

4 2, 3 3.9846799+000 4.0152811+000 1.6305622+001 6.9134445+001

4 2, 2 4.26197024-000 3.7706912+000 1.5323287+001 6.5141493+001

4 3, 2 9.0467590+000 8.9579899+000 8.0579899+001 7.2517708+002

4 3, 1 9.0571558+000 8.9373935+000 8.0373935+001 7.2330281+002

4 4, 1 1.6015320+001 1.5984719+001 2.5569438+002 4.0908656+003

4 4, 0 1.60154154-001 1.5984435+001 2.5568907+002 4.0907777+003

5 0, 5 -6.0519027-001 4.7313006-001 1.9504026+000 8.7277290+000

5 1, 5 -3.3468187-001 1.1005172+000 2.0073928+000 1.0224792+001

5 1, 4 2.0568490+000 1.1801324+000 2.8061756+000 1.7561844+001

5 2, 4 3.9411216+000 4.0583062+000 1.7166124+001 8.3590891+001

5 2, 3 4.5454645+000 3.5877110+000 1.5262994+001 7.5646379+001

5 3, 3 9.09994674-000 8.9180578+000 8.0623770+001 7.3705499+002

5 3, 2 9.14084284-000 8.8384642+000 7.9825637+001 7.2973507+002

5 4, 2 1.6058878+001 1.5941694+001 2.5483388+002 4.0764091+003

5 4, 1 1.6059726+001 1.5939159+001 2.5478660+002 4.0756259+003

5 5, 1 2.5018519+001 2.4981425+001 6.2436884+002 1.5607720+004

5 5, 0 2.5018524+001 2.4981403+001 6.2436819+002 1.5607703+004

6 0, 6 -1.1043456+000 7.4036962-001 3.1726614+000 1.6077545+001

6 1, 6 -9.4176362-001 1.1895315+000 2.9099086+000 1.8758133+001

6 1, 5 2.3445253+000 1.4139200+000 5.1809246+000 4.0127074+001

6 2, 5 3.8537009+000 4.1431332+000 1.8865865+001 1.1227203+002

6 2, 4 4.9538502+000 3.4152352+000 1.5925929+001 1.0006554+002

6 3, 4 9.1711635+000 8.8785408+000 8.1401655+001 7.7451585+002

6 3, 3 9.2902207+000 8.6543891+000 7.9137734+001 7.5333391+002

6 4, 3 1.6124568+001 1.5878671+001 2.5426725 +002 4.0940874+003

6 4, 2 1.6128764+001 1.5866201+001 2.5403458+002 4.0902188+003

6 5, 2 2.5067897+001 2.4931928+001 6.2268844+002 1.5561726+004

6 5, 1 2.5067957+001 2.4931691+001 6.2268134+002 1.5561539+004

6 6, 1 3.6021731+001 3.5978196+001 1.2948669+003 4.6609641+004

6 6, 0 3.6021732+001 3.5978194+001 1.2948668+003 4.6609638+004

7 0, 7 -1.7819675+000 1.0102395+000 4.5769281+000 2.6952099+001

7 1, 7 -1.6892367+000 1.3077084+000 4.1305881+000 3.0875610+001

7 1, 6 2.5677020+000 1.8128191+000 9.3274523+000 8.1947310+001

7 2, 6 3.7047764+000 4.2835484+000 2.1693185+001 1.6051644+002

7 2, 5 5.4715923+000 3.3178568+000 1.7949744+001 1.4756962+002

7 3, 5 9.2560521+000 8.8554472+000 8.3408042+001 8.5089547+002

7 3, 4 9.5393010+000 8.3517425+000 7.8253301+001 8.0093614+002

7 4, 4 1.6218169+001 1.5793779+001 2.5432263+002 4.1637450+003

7 4, 3 1.6233317+001 1.5749250+001 2.5348997+002 4.1497715+003

7 5, 3 2.5137946+001 2.4861897+001 6.2131418+002 1.5579638+004

7 5, 2 2.5138298+001 2.4860491+001 6.2127206+002 1.5578526+004

7 6, 2 3.6077055+001 3.5922673+001 1.2919842+003 4.6491739+004

7 6, 1 3.6077059+001 3.5922654+001 1.2919834+003 4.6491707+004

7 7, 1 4.9024969+001 4.8974947+001 2.3991472+003 1.1754259+005

7 7, 0 4.9024969+001 4.8974947+001 2.3991472+003 1.1754259+005

8 0, 8 -2.6359494+000 1.2648005+000 6.1424883+000 4.2211298+001

8 1, 8 -2.5850484+000 1.4504945+000 5.6487381+000 4.7041130+001

8 1, 7 2.6734176+000 2.3968164+000 1.5643039+001 1.5180868+002

8 2, 7 3.47571574000 4.4906057+000 2.5900258+001 2.3378203+002

8 2, 6 6.0672678+000 3.3541135+000 2.2171971+001 2.3289790+002

8 3, 6 9.3454280+000 8.8699314+000 8.7231754+001 9.8198175+002

8 3, 5 9.9232862+000 7.9296081+000 7.7417295+001 8.8198792+002

8 4, 5 1.6344459+001 1.5689899+001 2.5546857+002 4.3096067+003

8 4, 4 1.6388830+001 1.5561721+001 2.5306010+002 4.2685001+003

8 5, 4 2.5234265+001 2.4766314+001 6.2053081+002 1.5694091+004

8 5, 3 2.5235778+001 2.4760317+001 6.2035105+002 1.5689321+004

8 6, 3 3.6151603+001 3.5847812+001 1.2894613+003 4.6490358+004

8 6, 2 3.6151629+001 3.5847681+001 1.2894556+003 4.6490137+004

8 7, 2 4.9086437+001 4.8913260+001 2.3945887+003 1.1728089+005

87
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = —0.700000 —CONTINUED

8 7, 1 4.9086437+001 4.8913259+001 2.3945886+003 1.1728088+005

8 8, 1 6.4028222+001 6.3971684+001 4.0931699+003 2.6192625+005

8 8, 0 6.4028222+001 6.3971684+001 4.0931699+003 2.6192625+005

9 0, 9 -3.6618973+000 1.5011145+000 7.8860313+000 6.2621042+001

9 1, 9 -3.6347405+000 1.6120044+000 7.4358687+000 6.7810571+001

9 1, 8 2.6170928+000 3.1292977+000 2.4064350+001 2.5722750+002

9 2. 8 3.1481628+000 4.7702275+000 3.1664406+001 3.3737201+002

9 2, 7 6.6985812+000 3.5827125+000 2.9736486+001 3.7974978+002

9 3, 7 9.4255540+000 8.9455829+000 9.3520120+001 1.1859755+003

9 3, 6 1.0465798+001 7.4488164+000 7.7508322+001 1.0130834+003

9 4, 6 1.6505938+001 1.5577072+001 2.5835463+002 4.5610465+003

9 4. 5 1.6617287+001 1.5264117+001 2.5242486+002 4.4571420+003

9 5, 5 2.5362942+001 2.4640751+001 6.2069611+002 1.5942625+004

9 5, 4 2.5368161+001 2.4620235+001 6.2008007+002 1.5926134+004

9 6, 4 3.6249940+001 3.5748991+001 1.2876001+003 4.6657480+004

9 6. 3 3.6250070+001 3.5748346+001 1.2875717+003 4.6656386+004

9 7, 3 4.9166110+001 4.8833252+001 2.3904526+003 1.1721577+005

9 7, 2 4.9166112+001 4.8833241+001 2.3904519+003 1.1721573+005

9 8, 2 6.4095959+001 6.3903710+001 4.0863809+003 2.6140410+005

9 8. 1 6.4095959+001 6.3903710+001 4.0863809+003 2.6140410+005

9 9, 1 8.1031485+001 8.0968410+001 6.5568953+003 5.3103282+005

9 9, 0 8.1031485+001 8.0968410+001 6.5568953+003 5.3103282+005

10 0.10 -4.8560692+000 1.7225794+000 9.8319731+000 8.8828818+001

10 1.10 -4.8418919+000 1.7865865+000 9.4670914+000 9.3842441+001

10 1, 9 2.3729477+000 3.9315254+000 3.4119961+001 4.0278364+002

10 2. 9 2.7053150+000 5.1218252+000 3.9065563+001 4.7628712+002

10 2. 8 7.3140525+000 4.0665729+000 4.2103574+001 6.2373819+002

10 3. 8 9.4789814+000 9.1053705+000 1.0293062+002 1.4833183+003

10 3. 7 1.1167721+001 7.0200902+000 8.0076978+001 1.2233117+003

10 4. 7 1.6701545+001 1.5473793+001 2.6383422+002 4.9534390+003

10 4, 6 1.6948364+001 1.4809008+001 2.5107599+002 4.7214967+003

10 5. 6 2.5530139+001 2.4482903+001 6.2228161+002 1.6368544+004

10 5, 5 2.5545469+001 2.4423304+001 6.2048599+002 1.6319801+004

10 6. 5 3.6377212+001 3.5621093+001 1.2867385+003 4.7050738+004

10 6. 4 3.6377725+001 3.5618552+001 1.2866268+003 4.7046405+004

10 7. 4 4.9267741+001 4.8731071+001 2.3870790+003 1.1742612+005

10 7, 3 4.9267751+001 4.8731012+001 2.3870754+003 1.1742592+005

10 8, 3 6.4181174+001 6.3818159+001 4.0800778+003 2.6119372+005

10 8. 2 6.4181174+001 6.3818158+001 4.0800778+003 2.6119372+005

10 9. 2 8.1105571+001 8.0894069+001 6.5472417+003 5.3007318+005

10 9, 1 8.1105571+001 8.0894069+001 6.5472417+003 5.3007318+005

10 10, 1 1.0003475+002 9.9965130+001 9.9942839+003 9.9928582+005

10 10, 0 1.0003475+002 9.9965130+001 9.9942839+003 9.9928582+005

11 0.11 -6.2159445+000 1.9336973+000 1.1998445+001 1.2140945+002

11 1.11 -6.2086689+000 1.9696654+000 1.1725775+001 1.2586123+002

11 1,10 1.9341760+000 4.7308102+000 4.5308079+001 5.9110331+002

11 2.10 2.1329203+000 5.5386250+000 4.8089884+001 6.5523467+002

11 2, 9 7.8552662+000 4.8558275+000 6.0739210+001 1.0110131+003

11 3, 9 9.4857543+000 9.3686223+000 1.1607038+002 1.8962323+003

11 3, 8 1.2005839+001 6.7597398+000 8.7108626+001 1.5593645+003

11 4, 8 1.6925704+001 1.5406419+001 2.7295510+002 5.5289739+003

11 4, 7 1.7417583+001 1.4163986+001 2.4868017+002 5.0663826+003

11 5, 7 2.5741417+001 2.4294804+001 6.2593389+002 1.7022498+004

11 5, 6 2.5781146+001 2.4142807+001 6.2132942+002 1.6894979+004

11 6, 6 3.6539101+001 3.5458803+001 1.2872603+003 4.7733426+004

11 6, 5 3.6540819+001 3.5450341+001 1.2868878+003 4.7718856+004

11 7, 5 4.9395528+001 4.8602356+001 2.3848366+003 1.1799815+005

11 7, 4 4.9395573+001 4.8602090+001 2.3848205+003 1.1799729+005

11 8, 4 6.4287034+001 6.3711784+001 4.0746425+003 2.6140918+005

11 8, 3 6.4287034+001 6.3711779+001 4.0746421+003 2.6140916+005

11 9, 3 8.1196589+001 8.0802707+001 6.5381374+003 5.2958438+005

11 9, 2 8.1196589+001 8.0802707+001 6.5381374+003 5.2958438+005

88
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA - -0.'

11 10, 2

f00000 -CONTINUED

1.0011524+002 9.9884368+001 9.9810522+003 9.9763318+005

11 10, 1 1.0011524+002 9.9884368+001 9.9810522+003 9.9763318+005

11 11, 1 1.2103803+002 1.2096184+002 1.4633296+004 1.7703789+006

11 11, 0 1.2103803+002 1.2096184+002 1.4633296+004 1.7703789+006

12 0,12 -7.7399954+000 2.1381647+000 1.4395121+001 1.6091899+002

12 1.12 -7.7363132+000 2.1579417+000 1.4203297+001 1.6461117+002

12 1,11 1.3051071+000 5.4896340+000 5.7363039+001 8.2476506+002

12 2,11 1.4197792+000 6.0095891+000 5.8657056+001 8.7874499+002

12 2,10 8.2638562+000 5.9492537+000 8.6401690+001 1.5876330+003

12 3,10 9.4248164+000 9.7482649+000 1.3342848+002 2.4478853+003

12 3, 9 1.2939038+001 6.7647351+000 1.0093108+002 2.0925697+003

12 4. 9 1.7167921+001 1.5406614+001 2.8691317+002 6.3372703+003

12 4, 8 1.8058778+001 1.3353507+001 2.4586514+002 5.5107331+003

12 5, 8 2.6000799+001 2.4085424+001 6.325488S +002 1.7964888+004

12 5, 7 2.6093638+001 2.3738256+001 6.2194677+002 1.7663270+004

12 6, 7 3.6741706+001 3.5257281+001 1.2896188+003 4.8775058+004

12 6, 6 3.6746764+001 3.5232583+001 1.2885290+003 4.8731925+004

12 7, 6 4.9554141+001 4.8442218+001 2.3841197+003 1.1902486+005

12 7, 5 4.9554308+001 4.8441224+001 2.3840595+003 1.1902164+005

12 8, 5 6.4417049+001 6.3580943+001 4.0704859+003 2.6217422+005

12 8, 4 6.4417053+001 6.3580919+001 4.0704839+003 2.6217408+005

12 9, 4 8.1307279+001 8.0691526+001 6.5300060+003 5.2972490+005

12 9, 3 8.1307279+001 8.0691525+001 6.5300060+003 5.2972490+005

12 10, 3 1.0021224+002 9.9787016+001 9.9684333+003 9.9666410+005

12 10, 2 1.0021224+002 9.9787016+001 9.9684333+003 9.9666410+005

12 11. 2 1.2112495+002 1.2087463+002 1.4615694+004 1.7676789+006

12 11, 1 1.2112495+002 1.2087463+002 1.4615694+004 1.7676789+006

12 12, 1 1.4404131+002 1.4395856+002 2.0725892+004 2.9841146+006

12 12, 0 1.4404131+002 1.4395856+002 2.0725892+004 2.9841146+006

13 0.13 -9.4273452+000 2.3385497+000 1.7025454+001 2.0792898+002

13 1,13 -9.4255029+000 2.3492297+000 1.6896704+001 2.1082387+002

13 1,12 4.9337985-001 6.2008835+000 7.0243574+001 1.1071188+003

13 2,12 5.5771783-001 6.5220506+000 7.0657594+001 1.1513030+003

13 2,11 8.4930485+000 7.2675798+000 1.1850773+002 2.3827985+003

13 3,11 9.2754758+000 1.0248766+001 1.5531561+002 3.1612802+003

13 3,10 1.3914385+001 7.1183194+000 1.2433992+002 2.9283526+003

13 4,10 1.7413052+001 1.5507525+001 3.0697472+002 7.4355325+003

13 4, 9 1.8891661+001 1.2488223+001 2.4497198+002 6.1118859+003

13 5, 9 2.6309647+001 2.3872853+001 6.4333936+002 1.9268933+004

13 5, 8 2.6508062+001 2.3154896+001 6.2116544+002 1.8616189+004

13 6, 8 3.6991291+001 3.5013402+001 1.2943858+003 5.0252931+004

13 6, 7 3.7004681+001 3.4948727+001 1.2915211+003 5.0137723+004

13 7, 7 4.9748718+001 4.8245307+001 2.3853476+003 1.2060552+005

13 7. 6 4.9749267+001 4.8242058+001 2.3851505+003 1.2059492+005

13 8, 6 6.4575087+001 6.3421555+001 4.0680430+003 2.6362144+005

13 8, 5 6.4575102+001 6.3421454+001 4.0680349+003 2.6362087+005

13 9, 5 8.1440647+001 8.0557421+001 6.5233015+003 5.3066563+005

13 9, 4 8.1440648+001 8.0557419+001 6.5233013+003 5.3066561+005

13 10, 4 1.0032816+002 9.9670615+001 9.9568919+003 9.9659173+005

13 10, 3 1.0032816+002 9.9670615+001 9.9568919+003 9.9659173+005

13 11, 3 1.2122805+002 1.2077116+002 1.4598767+004 1.7659394+006

13 11, 2 1.2122805+002 1.2077116+002 1.4598767+004 1.7659394+006

13 12, 2 1.4413470+002 1.4386485+002 2.0703047+004 2.9798911+006

13 12, 1 1.4413470+002 1.4386485+002 2.0703047+004 2.9798911+006

13 13, 1 1.6904459+002 1.6895527+002 2.8548032+004 4.8239634+006

13 13, 0 1.6904459+002 1.6895527+002 2.8548032+004 4.8239634+006

14 0.14 -1.1277506+001 2.5364918+000 1.9889425+001 2.6303931+002

14 1,14 -1.1276593+001 2.5421721+000 1.9806220+001 2.6520483+002

14 1.13 -4.9412976-001 6.8719731+000 8.4014348+001 1.4421613+003

14 2.13 -4.5882964-001 7.0640263+000 8.3984819+001 1.4774261+003

14 2.12 8.5167833+000 8.6821122+000 1.5539682+002 3.4017943+003

14 3,12 9.0187463+000 1.0865449+001 1.8183259+002 4.0581589+003

89
TABLE II. — EXPECTATION VALUES -CONTINUED

KAPPA = -0.7

14 3,11

00000 -CONTINUED

1.4870508+001 7.8949277+000 1.6052032+002 4.2109806+003

14 4,11 1.7642133+001 1.5739595+001 3.3437525+002 8.8878662+003

14 4,10 1.9911547+001 1.1739740+001 2.4997794+002 6.9847605+003

14 5,10 2.6665566+001 2.3685095+001 6.5986791+002 2.1023965+004

14 5, 9 2.7056749+001 2.2335332+001 6.1755086+002 1.9725688+004

14 6, 9 3.7293837+001 3.4727698+001 1.3023304+003 5.2255237+004

14 6, 8 3.7326263+001 3.4573342+001 1.2954557+003 5.1973005+004

14 7, 8 4.9984855+001 4.8006023+001 2.3889729+003 1.2284558+005

14 7, 7 4.9986473+001 4.7996515+001 2.3883951+003 1.2281417+005

14 8. 7 6.4765386+001 6.3229063+001 4.0677670+003 2.6589147+005

14 8, 6 6.4765439+001 6.3228696+001 4.0677377+003 2.6588940+005

14 9, 6 8.1599977+001 8.0396954+001 6.5185040+003 5.3258901+005

14 9. 5 8.1599978+001 8.0396944+001 6.5185030+003 5.3258893+005

14 10. 5 1.0046562+002 9.9532466+001 9.9469244+003 9.9764472+005

14 10, 4 1.0046562+002 9.9532466+001 9.9469243+003 9.9764472+005

14 11, 4 1.2134947+002 1.2064925+002 1.4583023+004 1.7654398+006

14 11, 3 1.2134947+002 1.2064925+002 1.4583023+004 1.7654398+006

14 12, 3 1.4424398+002 1.4375518+002 2.0680942+004 2.9769813+006

14 12, 2 1.4424398+002 1.4375518+002 2.0680942+004 2.9769813+006

14 13, 2 1.6914446+002 1.6885506+002 2.8518993+004 4.8175932+006

14 13, 1 1.6914446+002 1.6885506+002 2.8518993+004 4.8175932+006

14 14, 1 1.9604787+002 1.9595197+002 3.8399676+004 7.5253420+006

14 14, 0 1.9604787+002 1.9595197+002 3.8399676+004 7.5253420+006

15 0,15 -1.3290208+001 2.7329875 +D00 2.2985540+001 3.2687698+002

15 1,15 -1.3289759+001 2.7359695+000 2.2933422+001 3.2843353+002

15 1,14 -1.6524352+000 7.5137204+000 9.8758910+001 1.8342302+003

15 2.14 -1.6334175+000 7.6256032+000 9.8553254+001 1.8616768+003

15 2,13 8.3293345+000 1.0080099+001 1.9537143+002 4.6370728+003

15 3.13 8.6383635+000 1.1585642+001 2.1288290+002 5.1582753+003

15 3.12 1.5741293+001 9.1382046+000 2.1226102+002 6.1078046+003

15 4.12 1.7833635+001 1.6126671+001 3.7020345+002 1.0763378+004

15 4.11 2.1088262+001 1.1279597+001 2.6571641+002 8.3089820+003

15 5,11 2.7061579+001 2.3558736+001 6.8402104+002 2.3338234+004

15 5,10 2.7776431+001 2.1253809+001 6.1036640+002 2.0968366+004

15 6.10 3.7654369+001 3.4406906+001 1.3145283+003 5.4886175+004

15 6, 9 3.7727026+001 3.4067683+001 1.2993065+003 5.4245028+004

15 7, 9 5.0268543+001 4.7719028+001 2.3955059+003 1.2585734+005

15 7, 8 5.0272892+001 4.7693679+001 2.3939607+003 1.2577222+005

15 8, 8 6.4992576 +001 6.2998407+001 4.0701235+003 2.6913191+005

15 8, 7 6.4992748+001 6.2997222+001 4.0700287+003 2.6912519+005

15 9, 7 8.1788836+001 8.0206315+001 6.5161140+003 5.3568804+005

15 9. 6 8.1788840+001 8.0206278+001 6.5161102+003 5.3568771+005

15 10, 6 1.0062748+002 9.9369608+001 9.9390552+003 1.0000663+006

15 10, 5 1.0062748+002 9.9369607+001 9.9390551+003 1.0000663+006

15 11, 5 1.2149155+002 1.2050652+002 1.4568999+004 1.7664781+006

15 11, 4 1.2149155+002 1.2050652+002 1.4568999+004 1.7664781+006

15 12, 4 1.4437111+002 1.4362756+002 2.0660123+004 2.9757428+006

15 12, 3 1.4437111+002 1.4362756+002 2.0660123+004 2.9757428+006

15 13, 3 1.6926000+002 1.6873911+002 2.8490758+004 4.8129787+006

15 13, 2 1.6926000+002 1.6873911+002 2.8490758+004 4.8129787+006

15 14, 2 1.9615424+002 1.9584524+002 3.8363414+004 7.5160277+006

15 14, 1 1.9615424+002 1.9584524+002 3.8363414+004 7.5160277+006

15 15, 1 2.2505115+002 2.2494868+002 5.0604786+004 1.1384613+007

15 15, 0 2.2505115+002 2.2494868+002 5.0604786+004 1.1384613+007

KAPPA = -0.8

2 0, 2

00000

-8.2930556-003 8.2588102-003 3.3035241-002 1.3214096-001

2 1, 2 8.4210526-001 1.0000000+000 1.0000000+000 1.0000000+000

2 1, 1 1.1578947+000 1.0000000+000 1.0000000+000 1.0000000+000

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

2 2, 0 4.0082931+000 3.9917412+000 1.5966965+001 6.3867859+001

90
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.8

3 0, 3

00000 -CONTINUED

-4.1128361-002 4.0299632-002 1.6119853-001 6.4479411-001

3 1, 3 6.7921686-001 1.0047983+000 1.0479827+000 1.4366430+000

3 1, 2 1.3103859+000 1.0056177+000 1.0561772+000 1.5112123+000

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.0411284+000 3.9597004+000 1.5838801+001 6.3355206+001

3 3, 1 9.0049937+000 8.9952017+000 8.0952017+001 7.2856336+002

3 3, 0 9.0054036+000 8.9943823+000 8.0943823+001 7.2848879+002

4 0, 4 -1.2113124-001 1.1447901-001 4.5955404-001 1.8644238+000

4 1. 4 4.5326527-001 1.0190672+000 1.1906718+000 2.7351137+000

4 1, 3 1.5030377+000 1.0247632+000 1.2476317+000 3.2534487+000

4 2, 3 3.9935400+000 4.0064531+000 1.6129062+001 6.6168242+001

4 2, 2 4.1146544+000 3.8920245+000 1.5670449+001 6.4319408+001

4 3, 2 9.0204189+000 8.9809328+000 8.0809328+001 7.2726489+002

4 3, 1 9.0232781+000 8.9752368+000 8.0752368+001 7.2674655+002

4 4, ] 1.6006460+001 1.5993547+001 2.5587094+002 4.0938318+003

4 4, 0 1.6006477+001 1.5993496+001 2.5587000+002 4.0938162+003

5 0, 5 -2.7342506-001 2.4259152-001 9.8346142-001 4.1433714+000

5 1. 5 1.5786503-001 1.0474191+000 1.4746502+000 5.3312174+000

5 1, 4 1.7254536+000 1.0698893+000 1.6996644+000 7.3869262+000

5 2, 4 3.9751208+000 4.0247764+000 1.6495529+001 7.2324881+001

5 2, 3 4.2483951+000 3.7826368+000 1.5520499+001 6.8321226+001

5 3, 3 9.0448651+000 8.9603875+000 8.0790703+001 7.3193425+002

5 3, 2 9.0562232+000 8.9379198+000 8.0565764+001 7.2988051 +002

5 4, 2 1.6024879+001 1.5975224+001 2.5550447+002 4.0876751+003

5 4, 1 1.6025030+001 1.5974772+001 2.5549604+002 4.0875354+003

5 5. 1 2.5007796+001 2.4992193+001 6.2473465+002 1.5617735+004

5 5, 0 2.5007797+001 2.4992191+001 6.2473457+002 1.5617733+004

6 0, 6 -5.2000386-001 4.2089195-001 1.7384118+000 7.8320528+000

6 1, 6 -2.1370979-001 1.0934474+000 1.9376916+000 9.6163379+000

6 1,5 1.9631471+000 1.1592158+000 2.5987229+000 1.5718413+001

6 2, 5 3.9379644+000 4.0614588+000 1.7229758+001 8.4682779+001

6 2, 4 4.4572172+000 3.6428112+000 1.5533236+001 7.7545984+001

6 3, 4 9.0798603+000 8.9351752+000 8.1034936+001 7.4701238+002

6 3, 3 9.1135229+000 8.8694341+000 8.0374724+001 7.4093189+002

& 4, 3 1.6052888+001 1.5947702+001 2.5524647+002 4.0948042+003

6 4, 2 1.6053639+001 1.5945458+001 2.5520459+002 4.0941091+003

6 5, 2 2.5028586+001 2.4971377+001 6.2402737+002 1.5598371+004

6 5, 1 2.5028593+001 2.4971350+001 6.2402655+002 1.5598350+004

6 6, 1 3.6009148+001 3.5990839+001 1.2955238+003 4.6636513+004

6 6, 0 3.6009148+001 3.5990839+001 1.2955238+003 4.6636513+004

7 0, 7 -8.7532159-001 6.3132827-001 2.6848161+000 1.3300411+001

7 1, 7 -6.6794572-001 1.1590523+000 2.6031822+000 1.5916993+001

7 1, 6 2.1968810+000 1.3168837+000 4.2007567+000 3.0954037+001

7 2, 6 3.8741462+000 4.1236775+000 1.8477686+001 1.0578726+002

7 2, 5 4.7467314+000 3.5004914+000 1.5945000+001 9.5022662+001

7 3, 5 9.1256551+000 8.9096280+000 8.1730245+001 7.7799598+002

7 3, 4 9.2081559+000 8.7519597+000 8.0137563+001 7.6308802+002

7 4, 4 1.6093419+001 1.5908806+001 2.5521053+002 4.1232856+003

7 4, 3 1.6096155+001 1.5900665+001 2.5505846+002 4.1207522+003

7 5, 3 2.5058096+001 2.4941845+001 6.2344527+002 1.5605815+004

7 5, 2 2.5058137+001 2.4941682+001 6.2344037+002 1.5605686+004

7 6, 2 3.6032435+001 3.5967517+001 1.2943118+003 4.6586927+004

7 6, 1 3.6032435+001 3.5967515+001 1.2943117+003 4.6586925+004

7 7, 1 4.9010511+001 4.8989475+001 2.4002213+003 1.1760427+005

7 7, 0 4.9010511+001 4.8989474+001 2.4002213+003 1.1760427+005

8 0, 8 -1.3457239+000 8.5260257-001 3.7742572+000 2.0965663+001

8 1, 8 -1.2106334+000 1.2442371+000 3.4790085+000 2.4509407+001

8 1, 7 2.4026404+000 1.5698906+000 6.8136167+000 5.6880447+001

8 2. 7 3.7748130+000 4.2187034+000 2.0391003+001 1.3843291+002

8 2, 6 5.1124059+000 3.3901354+000 1.7066852+001 1.2502987+002

8 3, 6 9.1807726+000 8.8909669+000 8.3114737+001 8.3146644+002

284-758 0- 68—7 91
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = 8 3,

= —0. 8( 5

10000 -CONTINUED

9.3567962+000 8.5660160+000 7.9801199+001 7.9965251+002

8 4, 5 1.6149500+001 1.5857109+001 2.5554809+002 4.1827639+003

8 4, 4 1.6157629+001 1.5833084+001 2.5509841+002 4.1752178+003

8 5, 4 2.5098740+001 2.4901234+001 6.2310134+002 1.5653812+004

8 5, 3 2.5098916+001 2.4900531+001 6.2308027+002 1.5653255+004

8 6, 3 3.6063807+001 3.5936085+001 1.2932503+003 4.6586330+004

8 6, 2 3.6063809+001 3.5936075+001 1.2932499+003 4.6586313+004

8 7, 2 4.9036384+001 4.8963562+001 2.3983049+003 1.1749421+005

8 7, 1 4.9036384+001 4.8963562+001 2.3983049+003 1.1749421+005

8 8, 1 6.4011880+001 6.3988103+001 4.0948106+003 2.6205247+005

8 8, 0 6.4011880+001 6.3988103+001 4.0948106+003 2.6205247+005

9 0. 9 -1.9319825+000 1.0697202+000 4.9785265+000 3.1276616+001

9 1, 9 -1.8465951+000 1.3473794+000 4.5604945+000 3.5654049+001

9 1, 8 2.5530403+000 1.9395776+000 1.0729531+001 9.8219882+001

9 2, 8 3.6304931+000 4.3531159+000 2.3114344+001 1.8556245+002

9 2, 7 5.5416253+000 3.3444264+000 1.9283318+001 1.7381235+002

9 3, 7 9.2417573+000 8.8889361+000 8.5471537+001 9.1510999+002

9 3, 6 9.5783507+000 8.29917+1+000 7.9375628+001 8.5448549+002

9 4, 6 1.6223937+001 1.5792726+001 2.5646201+002 4.2846624+003

9 4, 5 1.6244778+001 1.5731744+001 2.5531665+002 4.2652184+003

9 5, 5 2.5153248+001 2.4846985+001 6.2312777+002 1.5758039+004

9 5. 4 2.5153862+001 2.4844549+001 6.2305467+002 1.5756100+004

9 6, 4 3.6105176+001 3.5894610+001 • 1.2924671+003 4.6656889+004

9 6, 3 3.6105186+001 3.5894561+001 1.2924649+003 4.6656806+004

9 7, 3 4.9069915+001 4.8929972+001 2.3965652+003 1.1746677+005

9 7, 2 4.9069915+001 4.8929972+001 2.3965652+003 1.1746676+005

9 8, 2 6.4040393+001 6.3959548+001 4.0919566+003 2.6183289+005

9 8, 1 6.4040393+001 6.3959548+001 4.0919566+003 2.6183289+005

9 9, 1 8.1013254+001 8.0986728+001 6.5592750+003 5.3126943+005

9 9, 0 8.1013254+001 8.0986728+001 6.5592750+003 5.3126943+005

10 0,10 -2.6323229+000 1.2759660+000 6.2931115+000 4.4670853+001

10 1.10 -2.5796026+000 1.4658050+000 5.8355186+000 4.9629657+001

10 1 , 9 2.6207104+000 2.4292171+000 1.6112009+001 1.5992430+002

10 2, 9 3.4314902+000 4.5319384+000 2.6771225+001 2.5016039+002

10 2, 8 6.0160970+000 3.3936612+000 2.3082861+001 2.5064120+002

10 3, 8 9.3031386+000 8.9150334+000 8.9119320+001 1.0377326+003

10 3, 7 9.8904748+000 7.9588370+000 7.9059764+001 9.3323367+002

10 4, 7 1.6318918+001 1.5718187+001 2.5822149+002 4.4424477+003

10 4, 6 1.6366595+001 1.5580692+001 2.5562526+002 4.3976252+003

10 5, 6 2.5224618+001 2.4776547+001 6.2368101+002 1.5936181+004

10 5, 5 2.5226442+001 • 2.4769334+001 6.2346425+002 1.5930395+004

10 6, 5 3.6158703+001 3.5840902+001 1.2921042+003 4.6823342+004

10 6, 4 3.6158742+001 3.5840708+001 1.2920956+003 4.6823013+004

10 7, 4 4.9112670+001 4.8887118+001 2.3951473+003 1.1755558+005

10 7, 3 4.9112670+001 4.8887115+001 2.3951472+003 1.1755557+005

10 8, 3 6.4076258+001 6.3923624+001 4.0893054+003 2.6174424+005

10 8, 2 6.4076258+001 6.3923624+001 4.0893054+003 2.6174424+005

10 9, 2 8.1044440+001 8.0955497+001 6.5552168+003 5.3086588+005

10 9, 1 8.1044440+001 8.0955497+001 6.5552168+003 5.3086588+005

10 10, 1 1.0001463+002 9.9985349+001 9.9975978+003 9.9969981+005

10 10, 0 1.0001463+002 9.9985349+001 9.9975978+003 9.9969981+005

11 0,11 -3.4444016+000 1.4703122+000 7.7269783+000 6.1545298+001

11 U1 -3.4124463+000 1.5964257+000 7.2896289+000 6.6752495+001

11 1,10 2.5828982+000 3.0165014+000 2.2908098+001 2.4612101+002

11 2,10 3.1683240+000 4.7578850+000 3.1451702+001 3.3516068+002

11 2, 9 6.5131689+000 3.5690001+000 2.9096000+001 3.6910294+002

11 3, 9 9.3575862+000 8.9815301+000 9.4399067+001 1.2092562+003

11 3, 8 1.0304800+001 7.5803670+000 7.9350619+001 1.0452581+003

11 4, 8 1.6435569+001 1.5639181+001 2.6117524+002 4.6719420+003

11 4, 7 1.6534994+001 1.5358407+001 2.5583272+002 4.5775688+003

11 5, 7 2.5316020+001 2.4687732+001 6.2495104+002 1.6208115+004

11 5, 6 2.5320828+001 2.4668833+001 6.2438181+002 1.6192787+004

92
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.8

11 6, 6

00000 -CONTINUED

3.6226795+001 3.5772523+001 1.2923180+003

11 6, 5 3.6226927+001 3.5771870+001 1.2922892+003

11 7, 5 4.9166398+001 4.8833216+001 2.3942105+003

11 7, 4 4.9166401+001 4.8833203+001 2.3942097+003

11 8, 4 6.4120801+001 6.3878990+001 4.0870194+003

11 8, 3 6.4120801+001 6.38789904901 4.0870194+003

11 9, 3 8.1082749+001 8.0917126+001 6.5513874+003

11 9, 2 8.1082749+001 8.0917126+001 6.5513874+003

11 10, 2 1.0004851+002 9.9951420+001 9.9920357+003

11 10, 1 1.0004851+002 9.9951420+001 9.9920357+003

11 11, 1 1.2101601+002 1.2098397+002 1.4637762+004

11 11, 0 1.2101601+002 1.20983974902 1.4637762+004

12 0,12 -4.3661755+000 1.65438964900 9.29258374900

12 1,12 -4.3470915+000 1.7362514+000 8.90970514900

12 1,11 2.4249864+000 3.66034994900 3.08780834901

12 2,11 2.8321607+000 5.03093464900 3.7205073+001

12 2,10 7.0062864+000 3.90370364000 3.80969754901

12 3,10 9.3962094+000 9.10042814000 1.0165732+002

12 3, 9 1.0823148+901 7.2212223+000 8.1046985+001

12 4, 9 1.6573524+001 1.5564955+001 2.6575899+002

12 4, 8 1.6765183+001 1.5039735+001 2.5565991+002

12 5, 8 2.5430655+001 2.4579256+001 6.2717611+002

12 5, 7 2.5442157+001 2.4534413+001 6.25821054902

12 6, 7 3.6312105+001 3.5686831+001 1.2932799+003

12 6, 6 3.6312496+001 3.5684894+001 1.2931945+003

12 7, 6 4.9233034+001 4.8766279+001 2.39392714903

12 7, 5 4.9233043+001 4.8766230+001 2.3939242+003

12 8, 5 6.4175484+001 6.3824161+001 4.0852757+003

12 8, 4 6.4175484+001 6.3824160+001 4.08527574903

12 9, 4 8.1129330+001 8.0870459+001 6.5479664+003

12 9, 3 8.1129330+001 8.0870459+001 6.5479664+003

12 10, 3 1.0008934 4902 9.99105304901 9.9867283+903

12 10, 2 1.0008934+002 9.9910530+001 9.9867283+003

12 11, 2 1.2105260+002 1.2094733+002 1.4630363+004

12 11, 1 1.2105260+002 1.2094733+002 1.46303634904

12 12, 1 1.4401739+002 1.4398259+002 2.0731752+004

12 12, 0 1.4401739+002 1.4398259+902 2.0731752 4904

13 0,13 -5.39612424900 1.8305633+000 1.1000548+001

13 1,13 -5.38486484000 1.8827010+000 1.0685774+001

13 1,12 2.1409188 4000 4.3184365+000 3.9731472+001

13 2,12 2.4151662+000 5.3483810+000 4.4039820+001

13 2,11 7.4655897+000 4.42828794900 5.09146504901

13 3,11 9.40895644900 9.2824279+000 1.11225904902

13 3,10 1.1436719+001 6.94472784900 8.51610854901

13 4,10 1.6730584+001 1.55081724901 2.7249397+002

13 4, 9 1.70752334901 1.4602889+001 2.5484755+002

13 5, 9 2.55715334901 2.4451478+001 6.30663224902

13 5, 8 2.55969074901 2.43536064901 6.2769224+002

13 6, 8 3.6417517+001 3.55810724901 1.2951793+003

13 6, 7 3.6418568+001 3.55758884901 1.2949506+903

13 7, 7 4.93147014901 4.8684100+001 2.39448164903

13 7, 6 4.93147284901 4.8683937+001 2.3944718+003

13 8, 6 6.4241910+001 6.3757495+001 4.0842651+003

13 8, 5 6.4241910+001 6.3757492+001 4.08426494903

13 9, 5 8.1185437+901 8.0814223+001 6.54514854003

13 9, 4 8.1185437+001 8.0814222+001 6.5451485+003

13 10, 4 1.00138124902 9.9861660+001 9.9818722+003

13 10, 3 1.00138124902 9.9861660+001 9.9818722+003

13 11, 3 1.2109600+002 1.2090386+002 1.4623245+004

13 11, 2 1.2109600+002 1.2090386+902 1.4623245+004

13 12, 2 1.4405670+002 1.4394322+002 2.0722150+004

4.7112931+004

4.7111818+004

1.1779778+005

1.1779773+005

2.6183510+005

2.6183510+005

5.3065996+005

5.3065996+005

9.9900487+005

9.9900487+005

1.7710641+006

1.7710641+006

8.2253013+001

8.7377952+001

3.5948087+002

4.4338643+002

5.48193044002

1.4406645+003

1.2056480+003

4.9916593+003

4.8079271+003

1.6596258+004

1.6559331+004

4.7555345+004

4.7552022+004

1.1823382+005

1.1823366+005

2.6215860+005

2.6215859+005

5.3071907+005

5.3071907+005

9.9859672+005

9.9859672+005

1.7699288+006

1.7699288+006

2.9851983+006

2.9851983+006

1.0711643+002

1.1189002+002

5.0151713+002

5.7753112+002

8.1221926+002

1.7438596+003

1.4370008+003

5.4231338+003

5.0903141+003

1.7126126+004

1.7043885+004

4.8182749+004

4.8173782+004

1.1890739+005

1.1890686+005

2.6277227+005

2.6277225+005

5.3111636+005

5.3111636+005

9.9856591+005

9.9856591+005

1.7691964+006

1.7691964+006

2.9834224+006

93
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.8

13 12, 1

00000 -CONTINUED

1.4405670+002 1.4394322+002 2.0722150+004 2.9834224+006

13 13, 1 1.6901877+002 1.6898121 4002 2.8555550+004 4.8256130+006

13 13, 0 1.6901877+002 1.6898121+002 2.8555550+004 4.8256130+006

14 0,14 -6.5332045+000 2.0010394+000 1.2858037+001 1.3644447+002

14 1,14 -6.5266286+000 2.0337227+000 1.2611346+001 1.4068665+002

14 1,13 1.7308666+000 4.9612633+000 4.9252937+001 6.7338951+002

14 2,13 1.9107307+000 5.7053544+000 5.1930645+001 7.4017609 +002

14 2,12 7.8597006+000 5.1584602 +000 6.8215074+001 1.1881059+003

14 3,12 9.3850766+000 9.5359538+000 1.2339900+002 2.1314023+003

14 3,11 1.2127894+001 6.8075092+000 9.2852744+001 1.7715399+003

14 4,11 1.6902516+001 1.5484220+001 2.8197518+002 5.9911997+003

14 4,10 1.7484155+001 1.4042812+001 2.5339635+002 5.4291543+003

14 5,10 2.5741175+001 2.4307267+001 6.3581324+002 1.7827128+004

14 5, 9 2.5793412+001 2.4108656+001 6.2974732+002 1.7655862+004

14 6, 9 3.6546114+001 3.5452570+001 1.2982302+003 4.9029932+004

14 6, 8 3.6548708+001 3.5439845+001 1.2976676+003 4.9007670+004

14 7, 8 4.9413717+001 4.8584252+001 2.3960690+003 1.1986517+005

14 7, 7 4.9413798+001 4.8583768+001 2.3960396+003 1.1986359+005

14 8, 7 6.4321824+001 6.3677185+001 4.0841907+003 2.6373787+005

14 8, 6 6.4321825+001 6.3677173+001 4.0841898+003 2.6373781+005

14 9, 6 8.1252434+001 8.0747026+001 6.5431424+003 5.3193064+005

14 9, 5 8.1252434+001 8.0747025+001 6.5431424+003 5.3193063+005

14 10, 5 1.0019596+002 9.9803700+001 9.9776795+003 9.9901012+005

14 10, 4 1.0019596+002 9.9803700+001 9.9776795+003 9.9901012+005

14 11, 4 1.2114710+002 1.2085268+002 1.4616620+004 1.7689853+006

14 11, 3 1.2114710+002 1.2085268+002 1.4616620+004 1.7689853+006

14 12, 3 1.4410270+002 1.4389715+002 2.0712853+004 2.9821974+006

14 12, 2 1.4410270+002 1.4389715+002 2.0712853+004 2.9821974+006

14 13, 2 1.6906081+002 1.6893910+002 2.8543345+004 4.8229346+006

14 13, 1 1.6906081+002 1.6893910+002 2.8543345+004 4.8229346+006

14 14, 1 1.9602015+002 1.9597982+002 3.8409140+004 7.5277733+006

14 14, 0 1.9602015+002 1.9597982+002 3.8409140+004 7.5277733+006

15 0,15 -7.7767333+000 2.1675724+000 1.4869019+001 1.7054622+002

15 1,15 -7.7729257+000 2.1877858+000 1.4682886+001 1.7416704+002

15 1,14 1.1981249+000 5.5751922+000 5.9341565+001 8.7649790+002

15 2,14 1.3135449+000 6.0956525+000 6.0830132+001 9.3382825+002

15 2,13 8.1591510+000 6.0807470+000 9.0211287+001 1.6996656+003

15 3,13 9.3136155+000 9.8663108+000 1.3841004+002 2.6161429+003

15 3,12 1.2872731+001 6.8576315+000 1.0544982+002 2.2541920+003

15 4,12 1.7083039+001 1.5510067+001 2.9484991+002 6.7241642+003

15 4,11 1.8008203+001 1.3386464+001 2.5189011+002 5.8395178+003

15 5,11 2.5941259+001 2.4152855+001 6.4314673+002 1.8733594+004

15 5,10 2.6042450+001 2.3775443+001 6.3152828+002 1.8397523+004

15 6,10 3.6701114+001 3.5299054+001 1.3026840+003 5.0134703+004

15 6, 9 3.6707072+001 3.5270029+001 1.3013967+003 5.0083183+004

15 7, 9 4.9532599+001 4.8464091+001 2.3988942+003 1.2115674+005

15 7, 8 4.9532821+001 4.84627764001 2.3988143+003 1.2115244+005

15 8, 8 6.4417119+001 6.3581248+001 4.0852665+003 2.6512122+005

15 8, 7 6.4417124+001 6.3581209+001 4.0852634+003 2.6512101+005

15 9, 7 8.1331796+001 8.0667352+001 6.5421701+003 5.3324613+005

15 9, 6 8.1331796+001 8.0667351+001 6.5421700+003 5.3324612+005

15 10, 6 1.0026404+002 9.9735444+001 9.9743766+003 1.0000340+006

15 10, 5 1.0026404+002 9.9735444+001 9.9743766+003 1.0000340+006

15 11, 5 1.2120689+002 1.2079277+002 1.4610719+004 1.7694228+006

15 11, 4 1.2120689+002 1.2079277+002 1.4610719+004 1.7694228+006

15 12, 4 1.4415621+002 1.4384356+002 2.0704094+004 2.9816749+006

15 12, 3 1.4415621+002 1.4384356+002 2.0704094+004 2.9816749+006

15 13, 3 1.6910945+002 1.6889040+002 2.8531471+004 4.8209922+006

15 13, 2 1.6910945+002 1.6889040 4002 2.8531471+004 4.8209922+006

15 14, 2 1.9606493+002 1.9593498 4002 3.8393899+004 7.5238572+006

15 14, 1 1.9606493+002 1.9593498+002 3.8393899+004 7.5238572+006

15 15, 1 2.2502153+002 2.2497844+002 5.0616505+004 1.1388098+007

15 15, 0 2.2502153+002 2.2497844+002 5.0616505+004 1.1388098+007

94
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.900000

2 0, 2 -1.9714150-003 1.9694736-003 7.8778946-003 3.1511578-002

2 1, 2 9.2307692-001 1.0000000+000 1.0000000+000 1.00000004600

2 1, 1 1.0769231+000 1.0000000+000 1.0000000+000 1.00000004600

2 2, 1 4.0000000+000 4.0000000+000 1.6000000+001 6.40000004001

2 2, 0 4.0019714+900 3.9980305+000 1.5992122+001 6.3968488+001

3 0, 3 -9.8377377-903 9.7895840-003 3.9158336-002 1.5663334-001

3 1, 3 8.4494454-001 1.0011861+000 1.0118613+000 1.10793824600

3 1, 2 1.1525894+000 1.0012809+000 1.0128094+000 1.1165658+000

3 2, 2 4.0000000+000 4.0000000+000 1.6000000+001 6.4000000+001

3 2, 1 4.0098377+000 3.9902104+000 1.5960842+001 6.3843367+001

3 3, 1 9.0012093+000 8.9988139+000 8.0988139+001 7.2889206+002

3 3, 0 9.0012567+900 8.9987191+000 8.0987191+001 7.2888343+002

4 0, 4 -2.9378460-002 2.8969640-002 1.1597816-601 4.6550623-001

4 1, 4 7.3857607-001 1.0048521+000 1.0485208+000 1.4415393+000

4 1, 3 1.2510650+000 1.0055146+000 1.0551465+000 1.5018330+000

4 2, 3 3.9984661+000 4.0015335+000 1.6030670+001 6.4515253+001

4 2, 2 4.0278436+000 3.9725667+000 1.5914745+001 6.4050624+001

4 3, 2 9.0050137+000 8.9951479+000 8.0951479+001 7.2855846+002

4 3, 1 9.0053453+000 8.9944854+000 8.0944854+001 7.2849817+602

4 4, 1 1.6001534+001 1.5998467+001 2.5596933+002 4.09548474603

4 4, 0 1.6001535+001 1.5998464+001 2.5596928+002 4.09548394603

5 0, 5 -6.7954163-002 6.5863525-002 2.6432263-001 1.0711869+000

5 1, 5 6.0222998-001 1.0125156+000 1.1251861+000 2.1399664+000

5 1, 4 1.3701365+000 1.0151574+000 1.1516125+000 2.38067194600

5 2, 4 3.9940858+000 4.0059084+000 1.6118168+001 6.59852294001

5 2, 3 4.0620314+000 3.9400704+000 1.5854322+001 6.49219344001

5 3, 3 9.0113052+000 8.9893344+000 8.0937711+001 7.2958227+002

5 3, 2 9.0126294+000 8.9866927+000 8.0911287+001 7.2934162+002

5 4, 2 1.6005914+001 1.5994092+001 2.5588183+002 4.0940148+003

5 4, 1 1.6005923+001 1.5994066+001 2.5588136+602 4.0940069+003

5 5, 1 2.5001849+001 2.4998150+001 6.2493710+002 1.5623278+004

5 5, 0 2.5001849+001 2.4998150+001 6.2493710+002 1.5623278+004

6 0, 6 -1.3394989-001 1.2620695-001 5.0894922-001 2.10175584600

6 1, 6 4.3389364-001 1.0257619+000 1.2578413+000 3.35210964000

6 1, 5 1.5068550+000 1.0336432+000 1.3367489+000 4.07263114600

6 2, 5 3.9852236+000 4.0147434+000 1.6294901+001 6.89556454001

6 2, 4 4.1191310+000 3.8886638+000 1.5788329+001 6.68933004001

6 3, 4 9.0208635+000 8.9810217+000 8.0972770+001 7.32962334602

6 3, 3 9.0248251+000 8.9731412+000 8.0893885+001 7.32242404602

6 4, 3 1.6012606+001 1.5987427+001 2.5581797+002 4.09566334603

6 4, 2 1.6012649+001 1.5987300 +001 2.5581559+002 4.09562384603

6 5, 2 2.5006781+001 2.4993216+001 6.2476939+002 1.5618686+004

6 5, 1 2.5006781+001 2.4993216+001 6.24769374602 1.5618685+004

6 6, 1 3.6002170+001 3.5997829+001 1.2958871+003 4.6651381+004

6 6, 0 3.6002170+001 3.5997829+001 1.2958871+003 4.6651381+004

7 0, 7 -2.3592008-001 2.1323296-001 8.6691254-001 3.6915380+000

7 1, 7 2.3137973-001 1.0460776+000 1.4617139+000 5.2258842+000

7 1, 6 1.6574166+000 1.0656050+000 1.6575526+000 7.02265824600

7 2, 6 3.9699296+000 4.0299443+000 1.6599125+001 7.40746894601

7 2, 5 4.2056941+000 3.8171772+000 1.5740910+001 7.05274824001

7 3, 5 9.0343961 +000 8.9702037+000 8.1091745+001 7.39930074002

7 3, 4 9.0442556+000 8.9506808+000 8.0896041+001 7.3813686+002

7 4, 4 1.6022377+001 1.5977752+001 2.5580104+002 4.1023005+003

7 4, 3 1.6022532+001 1.5977286+001 2.5579234+002 4.1021562+003

7 5, 3 2.5013782+001 2.4986213+001 6.2463110+602 1.5620446+004

7 5, 2 2.5013783+001 2.4986208+001 6.2463096+002 1.5620442 4604

7 6, 2 3.6007694 +001 3.5992304+001 1.2955998+003 4.6639625+004

7 6, 1 3.6007694+001 3.5992304+001 1.2955998+003 4.6639625+004

7 7, 1 4.9002493+001 4.8997506 +001 2.4008154+003 1.1763840+005

7 7, 0 4.9002493+001 4.8997506+001 2.40081544603 1.1763840+005

95
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA == -0.900000 -CONTINUED

8 0, 8 -3.8159098-001 3.2622449-001 1.3426187+000 5.9752330+000

8 1, 8 -7.5726995-003 1.0746977+000 1.7499125+000 7.9002554+000

8 1, 7 1.8170323+000 1.1170756+000 2.1761068+000 1.1841231+001

8 2, 7 3.9459524+000 4.0536646+000 1.7074291+001 8.2087264+001

8 2, 6 4.3270776+000 3.7288324+000 1.5757682+001 7.6544470+001

8 3, 6 9.0524374+000 8.9573725+000 8.1340257+001 7.5196145+002

8 3, 5 9.0739813+000 8.9150142+000 8.0914646+001 7.4803587+002

8 4, 5 1.6036095+001 1.5964295+001 2.5585943+002 4.1161232+003

8 4, 4 1.6036561+001 1.5962903+001 2.5583342+002 4.1156909+003

8 5, 4 2.5023428+001 2.4976563+001 6.2454865+002 1.5631834+004

8 5, 3 2.5023433+001 2.4976544+001 6.2454807+002 1.5631819+004

8 6, 3 3.6015134+001 3.5984860+001 1.2953482+003 4.6639484+004

8 6, 2 3.6015134+001 3.5984859+001 1.2953482+003 4.6639483+004

8 7, 2 4.9008631+001 4.8991366+001 2.4003612+003 1.1761230+005

8 7, 1 4.9008631+001 4.8991366+001 2.4003612+003 1.1761230+005

8 8, 1 6.4002818+001 6.3997181+001 4.0957181+003 2.6212231+005

8 .8, 0 6.4002818+001 6.3997181+001 4.0957181+003 2.6212231+005

9 0, 9 -5.7702922-001 4.6047750-001 1.9276484+000 9.0877044+000

9 1, 9 -2.8520077-001 1.1124870+000 2.1324307+000 1.1501108+001

9 1, 8 1.9798085+000 1.1955670+000 2.9715180+000 1.9351673+001

9 2, 8 3.9107601+000 4.0882448+000 1.7768048+001 9.3826782+001

9 2, 7 4.4865823+000 3.6313682+000 1.5907729+001 8.5861936+001

9 3, 7 9.0752510+000 8.9436360+000 8.1775464+001 7.7078719+002

9 3, 6 9.1179171+000 8.8606239+000 8.0938415+001 7.6299044+002

9 4, 6 1.6054715+001 1.5946296+001 2.5602766+002 4.1396688+003

9 4, 5 1.6055922+001 1.5942696+001 2.5596036+002 4.1385470+003

9 5, 5 2.5036376+001 2.4963612+001 6.2455225+002 1.5656588+004

9 5, 4 2.5036393+001 2.4963544+001 6.2455021 +002 1.5656534+004

9 6, 4 3.6024943+001 3.5975044+001 1.2951627+003 4.6656260+004

9 6, 3 3.6024943+001 3.5975044+001 1.2951627+003 4.6656259+004

9 7, 3 4.9016584+001 4.8983410+001 2.3999487+003 1.1760579+005

9 7, 2 4.9016584+001 4.8983410+001 2.3999487+003 1.1760579+005

9 8, 2 6.4009582+001 6.3990415+001 4.0950416+003 2.6207024+005

9 8, 1 6.4009582+001 6.3990415+001 4.0950416+003 2.6207024+005

9 9, 1 8.1003144+001 8.0996855+001 6.5605912+003 5.3140033+005

9 9, 0 8.1003144+001 8.0996855+001 6.5605912+003 5.3140033+005

10 0,10 -8.2625988-001 6.0883588-001 2.6057752+000 1.3167791+001

10 1,10 -6.0363228-001 1.1598735+000 2.6156482+000 1.6141178+001

10 1, 9 2.1386776+000 1.3098580+000 4.1396458+000 3.0636388+001

10 2, 9 3.8615708+000 4.1361279+000 1.8730862+001 1.1020419+002

10 2, 8 4.6850268+000 3.5356324+000 1.6281259+001 9.9652821+001

10 3, 8 9.1027455+000 8.9307797+000 8.2466521+001 7.9840149+002

10 3, 7 9.1808975+000 8.7809984+000 8.0948622+001 7.8406758+002

10 4, 7 1.6079241+001 1.5923094+001 2.5634785+002 4.1758364+003

10 4, 6 1.6082044+001 1.5914756+001 2.5619179+002 4.1732244+003

10 5, 6 2.5053366+001 2.4946626+001 6.2467591+002 1.5698904+004

10 5, 5 2.5053417+001 2.4946423+001 6.2466982+002 1.5698743+004

10 6, 5 3.6037629 +001 3.5962346+001 1.2950777+003 4.6695906+004

10 6, 4 3.6037630+001 3.5962343+001 1.2950776+003 4.6695902+004

10 7, 4 4.9026722+001 4.8973266+001 2.3996127+003 1.1762689+005

10 7, 3 4.9026722+001 4.8973266+001 2.3996127+003 1.1762689+005

10 8, 3 6.4018089+001 6.3981905+001 4.0944129+003 2.6204920+005

10 8, 2 6.4018089+001 6.3981905+001 4.0944129+003 2.6204920+005

10 9, 2 8.1010542+001 8.0989455+001 6.5596292+003 5.3130466+005

10 9, 1 8.1010542+001 8.0989455+001 6.5596292+003 5.3130466+005

10 10, 1 1.0000347+002 9.9996528+001 9.9994307+003 9.9992885+005

10 10, 0 1.0000347+002 9.9996528+001 9.9994307+003 9.9992885+005

11 0,11 -1.1313959+000 7.6388074-001 3.3600029+000 1.8361197+001

11 U1 -9.6481840-001 1.2168406+000 3.2023588+000 2.1923310+001

11 1,10 2.2854406+000 1.4692605+000 5.7884190+000 4.7064115+001

11 2,10 3.7953933+000 4.1997495+000 2.0014233+001 1.3219423+002

11 2, 9 4.9208159+000 3.4535650+000 1.6986269+001 1.1943141+002

96
TABLE II. -EXPECTATION VALUES-CONTINUED

KAPPA = -0.9

11 3, 9

00000 -CONTINUED

9.1344086+000 8.9212663+000 8.3494420+001 8.3706943+002

11 3, 8 9.2686295+000 8.6693860+000 8.0924567+001 8.1235825+002

11 4, 8 1.6110688+001 1.5894233+001 2.5687161+002 4.2279156+003

11 4, 7 1.6116660+001 1.5876546+001 2.5653997+002 4.2223323+003

11 5, 7 2.5075217+001 2.4924808+001 6.2495773+002 1.5763441+004

11 5, 6 2.5075353+001 2.4924268+001 6.2494153+002 1.5763011+004

11 6, 6 3.6053759+001 3.5946193+001 1.2951309+003 4.6765018+004

11 6, 5 3.6053760+001 3.5946184+001 1.2951305+003 4.6765003+004

11 7, 5 4.9039459+001 4.8960520+001 2.3993916+003 1.1768454+005

11 7, 4 4.9039459+001 4.8960519+001 2.3993915+003 1.1768454+005

11 8, 4 6.4028652+001 6.3971336+001 4.0938709+003 2.6207078+005

11 8, 3 6.4028652+001 6.3971336+001 4.0938709+003 2.6207078+005

11 9, 3 8.1019629+001 8.0980364+001 6.5587212+003 5.3125579+005

11 9, 2 8.1019629+001 8.0980364+001 6.5587212+003 5.3125579+005

11 10, 2 1.0001151+002 9.9988489+001 9.9981123+003 9.9976409+005

11 10, 1 1.0001151+002 9.9988489+001 9.9981123+003 9.9976409+005

11 11, 1 1.2100380+002 1.2099620+002 1.4640233+004 1.7714432+006

11 11, 0 1.2100380+002 1.2099620+002 1.4640233+004 1.7714432+006

12 0,12 -1.4931040+000 9.1961007-001 4.1777462+000 2.4819096+001

12 1,12 -1.3704887+000 1.2829731+000 3.8922486+000 2.8945641+001

12 1,11 2.4109937+000 1.6821810+000 8.0265364+000 7.0270523+001

12 2,11 3.7090783+000 4.2814077+000 2.1668576+001 1.6081922+002

12 2,10 5.1903269+000 3.3967314+000 1.8148146+001 1.4717791+002

12 3,10 9.1692655+000 8.9181732+000 8.4951216+001 8.8933354+002

12 3, 9 9.3874554+000 8.5202691 +000 8.0856120+001 8.4905078+002

12 4, 9 1.6150031+001 1.5859602+001 2.5766234+002 4.2996233+003

12 4, 8 1.6161881+001 1.5824695+001 2.5700620+002 4.2884906+003

12 5, 8 2.5102823+001 2.4897310+001 6.2544022+002 1.5855320+004

12 5, 7 2.5103150+001 2.4896006+001 6.2540105+002 1.5854279+004

12 6, 7 3.6073956+001 3.5925954+001 1.29536384003 4.6870827+004

12 6, 6 3.6073961+001 3.5925927+001 1.2953627+003 4.6870781+004

12 7, 6 4.9055247+001 4.8944714+001 2.3993274+003 1.1778851+005

12 7, 5 4.9055247+001 4.8944714+001 2.3993274+003 1.1778851+005

12 8, 5 6.4041618+001 6.3958362+001 4.0934581 +003 2.6214771+005

12 8, 4 6.4041618+001 6.3958362+001 4.0934581 +003 2.6214771+005

12 9, 4 8.1030677+001 8.0969312+001 6.5579100+003 5.3126981+005

12 9, 3 8.1030677+001 8.0969312+001 6.5579100+003 5.3126981+005

12 10, 3 1.0002119+002 9.9978801+001 9.9968539+003 9.9966725+005

12 10, 2 1.0002119+002 9.9978801+001 9.9968539+003 9.9966725+005

12 11, 2 1.2101248+002 1.2098752+002 1.4638479+004 1.7711741+006

12 11, 1 1.2101248+002 1.2098752+002 1.4638479+004 1.7711741+006

12 12, 1 1.4400412+002 1.4399587+002 2.0734993+004 2.9857978+006

12 12, 0 1.4400412+002 1.4399587+002 2.0734993+004 2.9857978+006

13 0,13 -1.9111534+000 1.0720977+000 5.0525791 +000 3.2693205+001

13 1,13 -1.8221285+000 1.3575432+000 4.6826689+000 3.7307081+001

13 1,12 2.5057970+000 1.9540428+000 1.0945234+001 1.0206435+002

13 2,12 3.5993801+000 4.3831206+000 2.3740896+001 1.9713142+002

13 2,11 5.4883604+000 3.3758999+000 1.9913614+001 1.8550605+002

13 3,11 9.2058631+000 8.9250795+000 8.6938690+001 9.5801999+002

13 3,10 9.5438699+000 8.3314943+000 8.0763829+001 8.9560447+002

13 4,10 1.6198141+001 1.5819569+001 2.5879768+002 4.3951494+003

13 4, 9 1.6220300+001 1.5754763+001 2.5757555+002 4.3742039+003

13 5, 9 2.5137145+001 2.4863262+001 6.2617105+002 1.5980144+004

13 5, 8 2.5137880+001 2.4860349+001 6.2608341+002 1.5977806+004

13 6, 8 3.6098903+001 3.5900936+001 1.2958212+003 4.7021189+004

13 6, 7 3.6098918+001 3.5900864+001 1.2958180+003 4.7021067+004

13 7, 7 4.9074582+001 4.8925348+001 2.3994660+003 1.1794947+005

13 7, 6 4.9074582+001 4.8925347+001 2.3994659+003 1.1794947+005

13 8, 6 6.4057362+001 6.3942605+001 4.0932208+003 2.6229386+005

13 8, 5 6.4057362+001 6.3942605+001 4.0932207+003 2.6229386+005

13 9, 5 8.1043981+001 8.0955999+001 6.5572421+003 5.3136422+005

13 9, 4 8.1043981 +001 8.0955999+001 6.5572421+003 5.3136422+005

13 10, 4 1.0003276+002 9.9967225+001 9.9957022+003 9.9965989+005

97
TABLE II. -EXPECTATION VALUES -CONTINUED

KAPPA = -0.900000 -CONTINUED

13 10, 3 1.0003276+002 9.9967225+001 9.9957022+003 9.9965989+005

13 11, 3 1.2102277+002 1.2097722+002 1.4636791+004 1.77100034006

13 11, 2 1.2102277+002 1.2097722+002 1.4636791+004 1.77100034006

13 12, 2 1.4401345+002 1.4398655+002 2.0732717+004 2.9853768+006

13 12, 1 1.4401345+002 1.4398655+002 2.0732717+004 2.9853768+006

13 13, 1 1.6900445+002 1.6899555+002 2.8559708+004 4.8265255+006

13 13, 0 1.6900445+002 1.6899555+002 2.8559708+004 4.8265255+006

14 0,14 -2.3848734+000 1.2193358+000 5.9833705+000 4.2130379+001

14 1,14 -2.3209769+000 1.4396156+000 5.5695175+000 4.7111773+001

14 1,13 2.5605738+000 2.2851324+000 1.4597109+001 1.4425463+002

14 2,13 3.4630263+000 4.5064852+000 2.6272477+001 2.4219513+002

14 2,12 5.8084863+000 3.4014139+000 2.2457592+001 2.37870854002

14 3,12 9.2422772+000 8.9459193+000 8.9566537+001 1.0462432+003

14 3,11 9.7438000+000 8.1065041+000 8.0722856+001 9.5403710+002

14 4,11 1.6255715+001 1.5775129+001 2.6037206+002 4.5192096+003

14 4,10 1.6295092+001 1.5661044+001 2.5821146+002 4.4817091+003

14 5,10 2.5179206+001 2.4821820+001 6.2720414+002 1.6144014+004

14 5, 9 2.5180748+001 2.4815722+001 6.2702042+002 1.6139088+004

14 6, 9 3.6129343+001 3.5870386+001 1.2965511+003 4.7224578+004

14 6, 8 3.6129379+001 3.5870207+001 1.2965432+003 4.7224272+004

14 7, 8 4.9098002+001 4.8901876+001 2.3998563+003 1.1817891+005

14 7, 7 4.9098003+001 4.8901872+001 2.3998561+003 1.1817890+005

14 8, 7 6.4076293+001 6.3923651+001 4.0932088+003 2.6252424+005

14 8, 6 6.4076293+001 6.3923651+001 4.0932088+003 2.6252424+005

14 9, 6 8.1059865+001 8.0940105+001 6.5567679+003 5.3155797+005

14 9, 5 8.1059865+001 8.0940105+001 6.5567679+003 5.3155797+005

14 10, 5 1.0004648+002 9.9953501+001 9.9947081+003 9.9976539+005

14 10, 4 1.0004648+002 9.9953501+001 9.9947081+003 9.9976539+005

14 11, 4 1.2103489+002 1.2096509+002 1.4635220+004 1.7709502+006

14 11, 3 1.2103489+002 1.2096509+002 1.4635220+004 1.7709502+006

14 12, 3 1.4402436+002 1.4397563+002 2.0730513+004 2.9850862+006

14 12, 2 1.4402436+002 1.4397563+002 2.0730513+004 2.9850862+006

14 13, 2 1.6901443+002 1.6898557+002 2.85568154004 4.8258906+006

14 13, 1 1.6901443+002 1.6898557+002 2.8556815+004 4.8258906+006

14 14, 1 1.9600478+002 1.9599522+002 3.8414374+004 7.5291182+006

14 14, 0 1.9600478+002 1.9599522+002 3.8414374+004 7.5291182+006

15 0,15 -2.9134572+000 1.3607115+000 6.9723782+000 5.3269091+001

15 1,15 -2.8680399+000 1.5281520+000 6.5480656+000 5.8471745+001

15 1,14 2.5671174+000 2.6693874+000 1.8980786+001 1.9844218+002

15 2,14 3.2967910+000 4.6525562+000 2.9296858+001 2.9707020+002

15 2,13 6.1432367+000 3.4838169+000 2.5989945+001 3.0880184+002

15 3,13 9.2761420+000 8.9848156+000 9.2950122+001 1.1574074+003

15 3,12 9.9917679+000 7.8556589+000 8.0882197+001 1.0272947+003

15 4,12 1.6323201+001 1.5728024+001 2.6249886+002 4.6771049+003

15 4,11 1.6390129+001 1.5536467+001 2.5885172+002 4.6128161+003

15 5,11 2.5230068+001 2.4772224+001 6.2860134+002 1.6353570+004

15 5.10 2.5233130+001 2.4760154+001 6.28237084002 1.6343741+004

15 6,10 3.6166076+001 3.5833491+001 1.29760504003 4.7490073+004

15 6, 9 3.6166160+001 3.5833076+001 1.2975867+003 4.7489362+004

15 7, 9 4.9126091+001 4.8873702+001 2.4005509+003 1.1848916+005

15 7, 8 4.9126092+001 4.8873693+001 2.4005503+003 1.1848913+005

15 8, 8 6.4098853+001 6.3901055+001 4.09347574003 2.6285496+005

15 8, 7 6.4098853+001 6.3901055+001 4.09347574003 2.6285496+005

15 9, 7 8.1078673+001 8.0921280+001 6.5565416+003 5.3187145+005

15 9, 6 8.1078673+001 8.0921280+001 6.5565416+003 5.3187145+005

15 10, 6 1.0006262+002 9.9937349+001 9.9939258+003 1.0000088+006

15 10, 5 1.0006262+002 9.9937349+001 9.9939258+003 1.0000088+006

15 11, 5 1.2104907+002 1.2095091+002 1.4633821+004 1.7710540+006

15 11, 4 1.2104907+002 1.2095091+002 1.4633821+004 1.7710540+006

15 12, 4 1.4403705+002 1.4396293+002 2.07284364004 2.9849621+006

15 12, 3 1.4403705+002 1.4396293+002 2.07284364004 2.9849621+006

15 13, 3 1.6902596+002 1.6897403+002 2.8554001+004 4.8254298+006

15 13, 2 1.6902596+002 1.6897403+002 2.8554001+004 4.8254298+006

15 14, 2 1.9601540+002 1.9598459+002 3.8410762+004 7.5281899+006

15 14, 1 1.9601540+002 1.9598459+002 3.8410762+004 7.5281899+006

15 15, 1 2.2500511+002 2.2499489+002 5.0622987+004 1.1390026+007

98

U S. GOVERNMENT PRINTING OFFICE : 1968 0-284-758
Announcement of New Publications on

Standard Reference Data

Superintendent of Documents,

Government Printing Office,

Washington, D.C. 20402

Dear Sir:

Please add my name to the announcement list of new publications to be

issued in the series: National Standard Reference Data Series — National Bureau

of Standards.

Name

Company

Address

City State Zip Code

(Notification Key N337)
'


THE NATIONAL BUREAU OF STANDARDS

The National Bureau of Standards1 provides measurement and technical information services

essential to the efficiency and effectiveness of the work of the Nation’s scientists and engineers. The

Bureau serves also as a focal point in the Federal Government for assuring maximum application of

the physical and engineering sciences to the advancement of technology in industry and commerce. To

accomplish this mission, the Bureau is organized into three institutes covering broad program areas of

research and services:

THE INSTITUTE FOR BASIC STANDARDS . .

. provides the central basis within the United

States for a complete and consistent system of physical measurements, coordinates that system with the

measurement systems of other nations, and furnishes essential services leading to accurate and uniform

physical measurements throughout the Nation’s scientific community, industry, and commerce. This

Institute comprises a series of divisions, each serving a classical subject matter area: —Applied Mathematics—Electricity—Metrology—Mechanics—Heat—Atomic Physics—Physical

Chemistry—Radiation Physics—Laboratory Astrophysics2—Radio Standards Laboratory, 2 which

includes Radio Standards Physics and Radio Standards Engineering—Office of Standard Refer- ence Data.

THE INSTITUTE FOR MATERIALS RESEARCH . . . conducts materials research and provides

associated materials services including mainly reference materials and data on the properties of materials. Beyond its direct interest to the Nation’s scientists and engineers, this Institute yields services

which are essential to the advancement of technology in industry and commerce. This Institute is or- ganized primarily by technical fields: —Analytical Chemistry—Metallurgy—Reactor Radiations—Polymers—Inorganic Materials—Cryogenics2—Office of Standard Reference Materials.

THE INSTITUTE FOR APPLIED TECHNOLOGY . .

. provides technical services to promote the use of available technology and to facilitate technological innovation in industry and government. The

principal elements of this Institute are: —Building Research—Electronic Instrumentation—Technical Analysis—Center for Computer Sci- ences and Technology—Textile and Apparel Technology Center—Office of Weights and Measures —Office of Engineering Standards Services—Office of Invention and Innovation—Office of Vehicle

Systems Research—Clearinghouse for Federal Scientific and Technical Information3—Materials

Evaluation Laboratory—NBS/GSA Testing Laboratory.

1 Headquarters and Laboratories at Gaithersburg, Maryland, unless otherwise noted; mailing address Washington, D. C., 20234.

2 Located at Boulder, Colorado, 80302.

3 Located at 5285 Port Royal Road, Springfield, Virginia 22151.
U.S. DEPARTMENT OF COMMERCE

WASHINGTON, D.C. 20230

POSTAGE AND FEES PAID

U.S. DEPARTMENT OF COMMERCE

OFFICIAL BUSINESS