calculations of chandrasekhar's x- and y-functions and their … · 2013-08-31 · w analogs...

NASA TECHNICAL NOTE

4 VI 4 z

CALCULATIONS OF CHANDRASEKHARS

ANALOGS FOR NONCOHERENT ISOTROPIC SCATTERING

X- AND Y-FUNCTIONS AND THEIR

by Franklyn B. FzGZZer and B. Jeanne Hyetg

Ames Research Center Moffett Field, CaZ$

N A S A --- _I TN D: e, /

B4712 -

LOAN COPY: RETURN TO

KlRTLAND AFB, N MEX AFWL [WLIL-2)

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON, D. C. AUGUST 1968

https://ntrs.nasa.gov/search.jsp?R=19680021332 2020-06-16T10:07:15+00:00Z

TECH LIBRARY KAFB. NM

0333287 NASA T N D-4712

CALCULATIONS O F CHANDRASEKHAR’S X- AND Y-FUNCTIONS AND

THEIR ANALOGS FOR NONCOHERENT ISOTROPIC SCATTERING

By Franklyn B. F u l l e r and B. Jeanne Hyett

A m e s R e s e a r c h Cen te r Moffett Field, Calif.

N A T I O N A L AERONAUTICS AND SPACE ADMINISTRATION

F o r s a l e by t h e C l e a r i n g h o u s e for F e d e r a l S c i e n t i f i c and T e c h n i c a l In format ion Spr ingf ie ld , V i r g i n i a 22151 - CFSTI p r i c e $3.00

TABLE O F CONTENTS

Page SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 INTRODUCTION

SYMBOLS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

METHOD O F CALCULATION . . . . . . . . . . . . . . . . . . . . . . . . . 3 Coherent Scat ter ing . . . . . . . . . . . . . . . . . . . . . . . . . 3 Noncoherent Scat ter ing . . . . . . . . . . . . . . . . . . . . . . . 9

NUMERICAL RF,SULTS . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Coherent Scat ter ing . . . . . . . . . . . . . . . . . . . . . . . . . 13 Noncoherent Scat ter ing . . . . . . . . . . . . . . . . . . . . . . . 18

A SIMPLE ANALYTIC APPROXIMATION . . . . . . . . . . . . . . . . . . . . 22

APPENDIX . DEVELOPMENT O F GAUSS QUADFUTURE FORMULAS . . . . . . . . . 29

REFEmNCES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

TABLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

FIGURES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91

CALCULATIONS O F CHANDRASEKHAR'S X- AND Y-FUNCTIONS AND

THEIR ANALOGS FOR NONCOHERENT ISOTROPIC SCATTERING

By Franklyn B. Fuller and B. Jeanne Hyett

Ames Research Center

SUMMARY

Results of calculat ions of the X- and Y-functions of Chandrasekhar, and of t h e i r analogs f o r noncoherent i so t ropic sca t te r ing a re given. I n the noncoherent work, a Doppler p r o f i l e i s assumed. The resul ts are presented both as t ab le s and i n a convenient graphical form, conducive t o understanding the behavior of these complicated functions. Moments of the X- and Y-functions are a l s o presented. The method of ca lcu la t ion i s based on reduction t o the solut ion of an i n i t i a l value problem, as recent ly proposed by Bellman and h i s assoc ia tes . A simple ana ly t ic approximation derived from t h i s method i s b r i e f l y discussed.

The X- and Y-functions introduced by Chandrasekhar ( r e f . 1) f o r solving rad ia t ion t ranspor t problems i n s labs have proved t o have considerable u t i l - i t y . Several extensive t ab le s of calculated values of these functions, and of t he i r low-order moments, e x i s t (see, e .g., refs . 2 and 3 ) . I n the above references the X- and Y-functions were calculated by means of coupled in te - g r a l equations. Recently, i n a new approach t o such calculat ions, Bellman, Kagiwada, Kalaba, and Ueno ( r e f . 4) a l t e r e d the problem t o one of solving an in i t i a l -va lue problem f o r a p a i r of coupled in tegro-d i f fe ren t ia l equations, f o r which the e lec t ronic computer i s wel l su i ted . This i s the method used i n t h i s paper.

Previous ca lcu la t ions of X- and Y-functions have been confined t o coher- en t sca t te r ing , that i s , no r ed i s t r ibu t ion of frequency occurs i n the sca t t e r - ing event. However, t h e method of Bellman e t a l . can a l s o be applied t o problems i n which the sca t te r ing i s noncoherent; that i s , complete r ed i s t r i - but ion of frequency occurs i n the sca t te r ing event. Extensions of the analy- s is leading from the t ranspor t equations t o the X- and Y-functions have been made ( r e f s . 5 - 8 ) . I n f a c t , calculat ions of t h e l imi t ing values of t h e X-function for i n f i n i t e s lab thickness are reported i n reference 7. The present work extends the r e s u l t s of reference 7 ( i n which Doppler broadening w a s used) t o s labs of f i n i t e op t i ca l thickness . Some of t he present r e s u l t s have appeared and have been applied t o a pa r t i cu la r physical problem i n re f - erence 8. The resul ts given i n t h i s paper apply when the sca t te r ing i s i so- t r o p i c i n d i rec t ion . The methods are, however, appl icable t o other s i t ua t ions . The extension would require der ivat ion of appropriate quadrature formulas .

I n t h e appl ica t ion of Bellman's technique, an in t eg ra l is approximated by use of a quadrature formula. It proves expedient t o use a formula of Gauss type, but t h e in t eg ra t ion points are genera l ly inconvenient as tabula t ion poin ts . Chandrasekhar's i n t e g r a l equations f o r X and Y are exploited, can be extended t o serve as an in te rpola t ion method i n both t h e coherent and noncoherent cases . U s e of t h i s device makes it possible t o tabula te at a r b i t r a r i l y chosen poin ts , with l i t t l e l o s s of accuracy.

A mathematical device introduced by Sobouti (ref. 2 ) , i n which

The X- and Y-functions depend upon two arguments and a parameter, making it ra the r d i f f i c u l t t o ge t much fee l ing f o r t h e i r over-al l behavior from t a b l e s . A method of graphical representat ion i s given here by which it i s hoped t h a t a c l ea re r understanding of t he behavior of these functions can be gained. with the approximate f o r m of t he in t eg ro -d i f f e ren t i a l equations, and i s a s o r t of "phase-plane" diagram. sented by a quadrature formula of least accuracy (one in tegra t ion poin t ) i s developed b r i e f l y . It leads t o r e s u l t s analogous t o t h e Schuster-SchwarzschiId solut ion f o r i n t e n s i t y ( r e f . 1, p. 55; r e f . 9 ) .

This representa t ion resu l ted from an attempt t o proceed a n a l y t i c a l l y

The approximation i n which the in t eg ra l i s repre-

In t h i s r epor t , no attempt is made t o r e l a t e t h e X- and Y-functions t o quan t i t i e s of physical i n t e r e s t , such as surface i n t e n s i t i e s o r f l u x from a rad ia t ing s l ab . For coherent s ca t t e r ing , t h i s i s done f o r many problems of physical i n t e r e s t i n reference 1. For noncoherent s ca t t e r ing , a systematic presentat ion of severa l spec i f i c problems, with boundary conditions of bas ic i n t e r e s t , i s given i n reference 8. Solutions t o these problems a r e given i n terms of t he X- and Y-functions and t h e i r moments.

SYMBOLS

ds n-2 -ts-l exponential i n t e g r a l funct ion,

F(z) weight funct ion, noncoherent s ca t t e r ing case (see eq. (18))

f (u)

weight number i n Gauss-type quadrature formula

H-function of Chandrasekhar ( see eq. (9a) )

hn(U) yhn(U) orthogonal polynomials, see appendix

N number of in tegra t ion points used i n quadrature formula

U Z

l + z

in tegra t ion point i n Gauss-type quadrature formula

2

W

analogs of Chandrasekhar's X- and Y-functions, f o r noncoherent s ca t t e r ing

Chandrasekhar's X- and Y-functions f o r coherent s ca t t e r ing

= pj Or = j values of X- and Y-functions a t

p - do) where rp(x) represents t h e Doppler p r o f i l e expressed d x ) - -$

e i n terms of Doppler widths from l i n e center; q(x) = ; +T

U i

j 1 - u

n th moment of X, with respect t o CI (or 2) (see eqs. (14) or ( 2 7 ) )

n th moment of Y with respect t o p (or 2) ( see eqs. (14) or (27))

aux i l i a ry functions (see eqs. (2) or ( 2 5 ) )

aux i l i a ry function (see eqs. (10) or ( 2 5 ) )

angle var iab le i n s lab geometry; cosine of angle ( 0 ) between inward normal and d i r ec t ion of rad ia t ion

in tegra t ion point i n Gauss quadrature formula

a u x i l i a r y functions (see eqs. (2) or ( 2 5 ) )

a u x i l i a r y function (see eqs. (10) or (25))

o p t i c a l depth of medium

c h a r a c t e r i s t i c function of Chandrasekhar

albedo of medium ( f r ac t ion of incident rad ia t ion sca t t e red )

METHOD OF CALCULATION

Coherent Scat ter ing

The p r a c t i c a l so lu t ion of many r ad ia t ion t ranspor t problems involving r e f l e c t i o n from or transmission through a plane l aye r of an absorbing and emitt ing medium can be made t o depend upon t h e evaluat ion of two functions X ( p ; T o ) , Y ( p ; T o ) , as w e l l as t h e i r moments with respect t o p. Many examples

3

can be found i n references 1 and 10 ( t h e functions X,Y are sometimes desig- nated cp,q i n t h e Russian l i t e r a t u r e ) . The arguments of the functions a r e t h e d i r e c t i o n cosine p and t h e o p t i c a l thickness T~ of the medium; there is a l s o parametric dependence on w, the albedo f o r s ing le sca t te r ing . The sca t te r ing i s considered t o be i so t ropic . I n reference 1 it i s shown t h a t t h e X- and Y-functions s a t i s f y t h e i n t e g r a l equations

In the notat ion used here , dependence upon -r0 i s ignored. Also, the char- a c t e r i s t i c function i so t ropic sca t te r ing : ~ ( p ) = 42.

Y ( p ) of reference 1 has been given i t s value f o r

+ For l a t e r convenience, t h e functions k-(p) , c'(p) used i n reference 2 can be defined as

(The Cauchy pr inc ipa l par t i s t o be taken i n these formulas when appropriate . ) Equations (1) can then be wri t ten as

( 3 )

Equations (l), or var ian ts thereof , have been used f o r previous calculat ions of X- and Y-functions .

Another s e t of equations is s a t i s f i e d by the X- and Y-functions. They a r e given i n reference 1 (p. 210), and form the b a s i s of the method described i n reference 4:

4

Besides these in tegro-d i f fe ren t ia l equations, t he re are t h e i n i t i a l conditions

To implement t h e reduction of t he above set of in tegro-d i f fe ren t ia l equa- t i ons t o an in i t i a l -va lue problem, t h e i n t e g r a l appearing there is approximated by means of a quadrature formula. The Gauss-Legendre formula used i n reference 4 w i l l be used here . A s i n reference 4, introduce t h e notat ion

where p . ( j = 1, . . . , N) denote the nodal po in ts on (0,l) corresponding t o Gauss-Legendre quadrature. Then, i f H . ( j = 1, . . . , N ) denote t h e weight numbers,

J J

Here, N exact f o r polynomials of degree < 2 N ) . equations (4 ) became the s e t of 2 N ordinary d i f f e r e n t i a l equations

denotes t h e order of t he quadrature formula used ( the formula is With t h e use of t h i s approximation,

w i t h i n i t i a l conditions

Xi(0) = Yi(0) = 1 ; i = l , . . . , N (8)

Equations (7) a r e now t o be integrated numerically, by a su i t ab le technique, subject t o t h e i n i t i a l conditions (8) . Since it i s known t h a t

( 9 4

j = l , . . . , N 1 l i m x . ( T ~ ) = H(pj) T + 0

J l i m Y . ( T ~ ) = o J

70-

t h e in tegra t ion need proceed only u n t i l each y i s as close t o zero as desired. The function H ( p ) i s of i n t e r e s t i n problems concerned w i t h a semi- i n f i n i t e medium, and i s f u l l y t r ea t ed i n reference 1. The in tegra t ion

j

5

I I I II I

proceeds smoothly, and results are obtained without d i f f i c u l t y . Questions of nonuniqueness (see refs. 1 ,3) t h a t arise when i n t e g r a l equations (1) are used a r e not troublesome here .

One disadvantage of t h e method is t h a t results are obtained only a t t h e d i s c r e t e set of po in ts p . resulting p j given by t i e seven roots of t h e equation

For example, i n reference 4, N = 7 w a s used with

P7(2)1 - 1) = 0

(Pn(x) i s t h e Legendre polynomial of degree immediately comparable with tabula t ions a t r egu la r ly spaced p (such as those i n r e f . 2 or 3 ) , and it w a s found t h a t s t ra ightforward polynomial interpola- t i o n w a s inadequate f o r f i l l i n g i n the des i red values of To circumvent t h i s inconvenience, t h e device used i n reference 2 f o r calcula- t i o n when use of t h e functions The func- t i o n s E + , (+ a r e calculated by means of t h e s a m e quadrature formula used i n t h e conversion of t h e in tegro-d i f fe ren t ia l equations (4) t o the d i f f e r e n t i a l equations (7); t h a t i s

n . ) These results a r e not

X ( ~ ; T ~ ) and Y ( ~ ; T ~ ) .

p > l1 w a s a$apted t o the present case. This device involves t h e E-(p;To), ('(p;To) defined i n equations ( 2 ) .

j=1 ' J

Only known values of t h e e n t i a l equations ( 7 ) , a r e used i n calculat ing E + and (+.

X- and Y-functions, obtained by solving the d i f f e r -

The s i t u a t i o n i s somewhat d i f f e r e n t with t h e functions E - , (-, f o r they a r e defined as Cauchy p r inc ipa l value in t eg ra l s according t o equations ( 2 ) . W e could ca l cu la t e t h e quan t i t i e s

%e extension of t he de f in i t i on of t he X- and Y-functions t o values of p >1 i s discussed i n reference 11. t h a t which w i l l be found i n t h e noncoherent case, where the d i r ec t ion cosine p argument of t h e t h e var iab le i s not changed, i n conformity with reference 2.

The s i t u a t i o n i s somewhat analogous t o

i s mult ipl ied by a function of frequency, and t h i s product becomes an X- and Y-functions. I n t h e present case, t he designation of

6

as though t h e s i n g u l a r i t y d id not e x i s t (provided t h a t no p coincides with a value of p des i red fo r t abu la t ion ) . not w e l l adapted t o t r e a t i n g t h e s ingu la r i ty involved here , for t h e value of t h e in t eg ra l i s defined by symmetrical approach t o t h e s ingular po in t . The des i red quan t i t i e s can be calculated by t h e device of addi t ion and subtract ion i n t h e integrand; for example,

However, t he Causs-$ype quadrature is

Although using t h i s formula seemingly defea ts the purpose of t h i s ca lcu la t ion , s ince it contains the des i red quant i ty as it appears. By use of t he quadrature approximation t h e above equation can be wr i t ten

X(p;-io), t he s i t u a t i o n i s not as bad

- with a similar expression, Y replacing X and replacing kl, f o r (-(k;-i0). t h e terms involving t h e product X Y cancel. The l i n e a r equations (3) can then be wr i t ten , i n t he present approximation

If these expressions are subs t i tu ted i n t h e second of equations ( 3 ) ,

where t h e coef f ic ien t matrix involves only t h e known s e t of quan t i t i e s xj(T0) 9 y j ( ~ 0 ) -

It should be noted t h a t t h e determinant of t h e coe f f i c i en t matrix i n equations (3 ) can be evaluated simply by means of an i d e n t i t y given by Sobouti ( r e f s . 11,2). Denoting t h i s determinant by D, we have

In t h e approximation used, t h e coe f f i c i en t determinant of equations ( loe) i s , with

7

I...

I I I I I1 I l~1111111ll11ll1ll1

where the f i rs t of equations (3) w a s used. Hence, by use o f equation (11)

This formula can be used as a check on the ca lcu la t ions , by matching the values of D, computed by means of t he formula

with those found from equation (12) . Since t h e l a t t e r r e s u l t does not depend upon To, progressive differences should mean t h a t t h e in tegra t ion process i s leading t o e r r o r . checks) being about t h e same f o r l a rge values of T o as f o r small. When p >> 1, the agreement w a s good, although t h e number of s ign i f i can t f igures w a s sometimes decreased because of t he smallness of Dl.

Such indicat ions were not found, the agreement ( i n spot

Equations ( l o e ) can be solved, a t each required T ~ , f o r t he des i red quan t i t i e s X ( p ; T o ) , Y ( p ; T o ) , spacing t h e values of p as required. For values of p >l, t h e extended de f in i t i ons of t h e X- and Y-functions given i n reference 2 , and, or ig ina l ly , i n references 11 and 12 are adopted here . There i s now no s ingu la r i ty t o be considered i n t h e functions k - , c-, but t he quan t i t i e s i n equations ( l o e ) , ET, c y , represent t h e quadrature approximation t o E-, 5- themselves.

Use of t he above in te rpola tory device leads t o f a i r agreement with t h e tabula t ions i n references 2 and 3 when t h e 7-point quadrature formula i s used, as recommended i n reference 4. However, t he agreement i s considerably b e t t e r i f t h e 9-point formula i s used. This i s because t h e in te rpola t ion has appar- en t ly introduced addi t iona l e r ro r , and t h e more accurate 9-point quadrature i s necessary t o achieve good f i n a l interpolated r e s u l t s . Results of calculat ions w i l l be presented l a t e r .

The moments of t h e X- and Y-functions with respect t o p are of considerable i n t e r e s t . These a re defined as

8

n l

Such in t eg ra l s a r e r ead i ly approximated by t h e Gauss quadrature formula, r e su l t i ng i n

N

Some of these moments a r e l i s t e d in reference 2 , and again the r e s u l t s agree well with those from t h e present method.

Noncoherent Scat ter ing

A physical ly r e a l i s t i c theory of spec t r a l l i n e formation by sca t t e r ing should account f o r a r ed i s t r ibu t ion of frequency when a photon i s sca t t e red . Perhaps the simplest assumption i s t h e extreme case of complete red is t r ibu- t i o n , i n which it i s assumed t h a t t he frequencies, i n t h e l i n e , of t he absorbed and sca t te red photons a r e completely uncorrelated. The e f f e c t of t h i s r ed i s t r ibu t ion is , general ly , t h e broadening of a spec t r a l l i n e . The l a w of broadening, or p r o f i l e , depends upon the physical mechanisms involved. The pa r t i cu la r case t r e a t e d here i s the Doppler p r o f i l e , associated with t h e l i n e broadening due t o k i n e t i c motion of t he rad ia t ing atoms. Details of t h e theory ana ana lys i s f o r such noncoherent s ca t t e r ing can be found i n , for example, references 3 , 6, and 8.

It tu rns out t h a t functions analogous t o t h e X- and Y-functions of Chandrasekhsr, discussed above, can be developed f o r noncoherent s ca t t e r ing ( see r e f s . 6 and 8 ) . The def ining equations a r e qui te similar, and similar methods may be used t o compute the new functions. These w i l l a l s o be termed X- and Y-functions, s ince t he i r physical meanings a r e the same as i n t h e coherent s ca t t e r ing case and confusion i s unl ikely. The equations analogous t o equations (1) and (2) are (see r e f . 8)

9

I I I I I I I11l1lI1~mll1111

( 16b 1 O3 Y(Z)X(Z') - X(Z)Y(Z') -To/Z + - F( z ' )dz '

Y(z;T~) = e wz 2 s z - z' 0

where z is a new var iab le , replacing t h e d i r ec t ion parameter p

x2 z = pe

and x i s a dimensionless frequency parameter ( see r e f . 8 ) . The new weight function F(z) i s given by

where

The in tegro-d i f fe ren t ia l equations i n t h i s noncoherent case a r e

where

The i n i t i a l values a r e again

x(z;o) = Y(z;O) = 1 (z > 0)

10

I

There i s thus considerable formal s i m i l a r i t y between coherent and noncoherent s ca t t e r ing . The important d i f fe rence l i e s i n t h e in t eg ra l i n equa- t i o n ( 1 9 ~ ) . weight function appears. Straightforward extension of t h e Gauss quadrature t o t h e weight function F(z) is not f eas ib l e because it requi res t h e existence of t h e moments

The i n t e r v a l of i n t eg ra t ion i s now i n f i n i t e , and, i n addi t ion, a

and these do not exist unless n <1. Thus, make t h e transformation of independent var iab les

U z = - 1 - u

T h i s amounts t o expressing t h e integrand i n a polynomial i n Such an expansion appears su i ted t o t he functions whose values a r e sought.

u = ( z / z + 1).

To formulate the problem i n terms of t he new var iab le , wri te

Then equations ( lga-c) become

where

P- 1: The quadrature formula developed in the appendix can now be appl ied t o

N

11

where t h e u j and H j p r i a t e t o t h e weighting function

are, respec t ive ly , t h e nodes and weight nunibers appro-

on t h e i n t e r v a l (0,l) . t i o n used.

The s ingu la r i ty a t u = 1 is apparent only. The nota- X ( Z j ; T O ) = X ( u j ; T 0 ) = X j ( T 0 ) ; Y ( Z j ; T o ) = y(uj;To) = yj(TO) has been

The new in i t i a l -va lue problem can now be wr i t ten

with the 2N i n i t i a l conditions

Xi(0) = Yi(0) = 1 ; i = l , . . . , N (24)

A t desired values of in te rpola tory device as before .

z , X ( Z ; T ~ ) and Y ( Z ; T ~ ) can be found by t h e same Thus, with

12

I

equations (loe) (with z replacing p) can be solved f o r t h e required values of X and Y a t each -io. The arguments leading t o use of t he approximate values t;, of t h e Cauchy i n t e g r a l s E.-, 5- appl ied i n t h e coherent s ca t t e r ing case above apply t o noncoherent s ca t t e r ing .

A r e l a t i o n similar t o t h a t i n equation (11) can be derived fo r noncoherent s ca t t e r ing . It is

where

& t 2 z + e

z - e2 d t 1 t 2

An ana lys i s similar t o t h a t f o r equation (12) can be performed f o r t h e present s i t u a t i o n a l so , leading t o t h e expression

r 1

W Z - 2

"J Z

J where

The above r e l a t i o n can be used, as w a s i t s analog f o r coherent s ca t t e r ing , t o check the progress of t h e numerical so lu t ion of t he d i f f e r e n t i a l equations. This i s possible because t h e right-hand s ide of equation (26b) does not depend upon t h e running va r i ab le T~~

The moments of t h e X- and Y-functions with respect t o z are again of i n t e r e s t f o r noncoherent s ca t t e r ing . For appl ica t ions , see reference 8. The moments are defined somewhat d i f f e r e n t l y from those i n the coherent case, because of convergence d i f f i c u l t i e s owing t o t h e slow decay of t h e weighting function F(z) (eq. (18)). Thus,

a

N 7

u o ( T o ) = X(z;T,)F(z)dz ,,)- H j x j ( 7 , ) j= 1 0

N r

a r e a t least formally t h e same as before . as (see ref . 8)

The f i r s t -o rde r moments a r e defined

where ( f rom r e f . 6 o r 8 ) ,

Thus, X(m;To) i s known when t h e zero-order moments of equations (26) have been found. Then, using t h e quadrature formula,

N

N r-

where

A b r i e f account of t he development of t he Gauss quadrature formula appropriate t o t he weighting function i s i n appendix A .

F ( z ) , o r more exact ly , f ( u ) ( l - u ) - ~ ,

14

NUMERICAL RESULTS

Coherent Scat ter ing

The approximate d i f f e r e n t i a l equations (7) were t r e a t e d f i r s t i n order t o gain experience with t h e method of reference 4. r e s u l t s with t h e regular ly tabulated values of references 2 and 3 ( the r a w results checked w e l l with those of ref . 4), t h e in te rpola t ion method w a s developed i n which t h e a u x i l i a r y functions E', 5" were used. According t o t h e recommendation of reference 4, a 7-point quadrature formula w a s adequate. However, the in te rpola t ion process introduces new sources of e r r o r , and it w a s found necessary t o use t h e 9-point formula t o ge t 4-3 place agreement with t h e t a b l e s i n references 2 and 3. In a l l cases , t he d i f f e r e n t i a l equations were integrated with a var iab le mode Adams-Moulton method. N o d i f f i c u l t i e s were encountered i n t h i s phase of t h e work. The var iab le mode operation l e d t o values of To which were not always a t the even t en ths o r hundredths required f o r tabula t ion , but cubic in te rpola t ion was adequate f o r determining t h e function values a t the required values of T o .

In t h e attempt t o check t h e

In view o f t he ex i s t ing tabula t ions (refs. 2 , 3 ) , t he re is c l e a r l y no need f o r fu r the r l i s t i n g of t h e X- and Y-functions f o r i so t ropic coherent s ca t t e r ing when the usual range of t he var iable p i s considered. Also, t he ease o f generation of these functions from the d i f f e r e n t i a l equations (7) make it feas ib l e i n many cases t o include such a subroutine i n a machine calcula- t i o n i n which X- and Y-functions a r e needed. However, because of t he complicated nature of these funct ions, depending as they do upon t w o var iables p, -r0 as Well as upon the parameter w, it i s usefu l t o examine c e r t a i n graphical representat ions of t h e m . These graphs cons is t of p l o t s of Y vs . X w i t h graduated values of T~ and of p. Figures 1 t o 15 show these p l o t s f o r increasing values of t h e albedo w.

The s o l i d curves i n these f igures represent Y v s . X f o r p = 0.1( .1)1.0. The op t i ca l thickness paths , s t a r t i n g with T~ = 0 a t the common point (1,l) i n t h e plane and increasing t o To = 03 when the curves meet t he X axis. The dashed l i n e s crossing these curves a r e l i n e s of constant T ~ . One such s e t of curves appears f o r each chosen value of t h e albedo w. The points a t which the s o l i d curves meet t he X a x i s a r e therefore the values, as functions of p, of the H-function, H(p), because ( r e f . 1, p. 183)

T~ may be considered a s o r t of a r c length along these

These curves reproduce, w i t h t h e diminished accuracy possible on a graph, most of t h e r e s u l t s of the tabula t ion ( r e f . 3 ) . They should be usefu l i n ascer ta in ing such th ings as regions i n which thin- layer or thick-layer approximations can be expected t o hold, where asymptotic expansions are va l id , e t c .

15

I I1 I1 I I 1 IIIllI.I~11111I1l1

The da ta of t he set of f igu res 1 t o 13 are repeated ( i n smaller sca l e ) on f igu res 16 t o 29, where the var iab le p i s allowed t o increase beyond p = 1. The X- and Y-functions so extended have been used by Chamberlain and Sobouti ( r e f s . 11,12) and tabulated b r i e f l y i n reference 2. only t o extend t h e results given by Sobouti i n reference 2 , but a l s o t o br ing out analogies between t h e sca t t e r ing . For example, j u s t as i n t h e l a t te r case, it follows f o r coherent s ca t t e r ing t h a t

They are shown here not

X- and Y-functions f o r coherent and f o r noncoherent

For, f r o m (2)

and, by so lu t ion of equations ( 3 ) , the above r e l a t i o n i s obtained. l imi t ing c u e i n t h e X - Y plane as p + i s the s t r a i g h t l i n e X = Y . A s To increases from 0 t o a, t h e equa l i ty of X and Y must eventual ly f a i l . This comes about through a nonuniformity i n t h e double l i m i t owing t o t he t e r m e -To/p.

r e l a t i o n f o r

Thus, t he

In any case, as ' T ~ - a, l i m X ( a ; T o ) can be found from t h e above TO-

X ( ~ ; T ~ ) by noting t h a t

l i m = o T - 0

and, hence, t h e ul t imate value a t t a ined by X ( W ; T ~ ) as T~ --z a i s

-1/2 x = (1 - .)

since, f r o m reference 1, page 106

A l l o ther curves, f o r 1 < m, then f a l l within t h e t rapezoid defined by

X = l

X = Y

16

Y = O

I n t h e conservative case ( w = l), t h e t rapezoid does not c lose on t h e r i g h t .

me curves shown f o r p > 1 do not always extend t o t h e X axis because t h e in tegra t ion process w a s stopped when m(T0) reached a s u f f i c i e n t l y s m a l l value, general ly YN < A t such a point , t h e Xj(To)( j = 1, . . . , N) had sensibly a t t a ined t h e i r maximum values , which coincide. with corresponding values of t h e However, t he r a p i d i t y of approach of X ( ~ ; T ~ ) t o H(p) as T~ 3 ~0 depends upon t h e value of p (and a l s o upon t h e albedo w ) , being slower f o r l a r g e r p (and f o r w nearer u n i t y ) . The ultimate value of X(p; T ~ ) as T~ 3 00 can be calculated by taking t h e appropriate l i m i t i n equations (1):

H-function, H(pj) ( j = 1, . . . , N ) .

In the l as t expression, x.(m) i s taken t o be the value o f l a r g e s t value of To reached i n the in tegra t ion process. Values calculated by the above formula a r e shown as t i c k s on t h e (where the so l id curves do not reach the X a x i s ) t o help i n discerning t h e asymptotic behavior of t h e curves f o r l a rge values of p. Further it can be shown by use of asymptotic r e l a t i o n s f o r t he X- and Y-functions that t h e p = const . curves meet the X a x i s orthogonally when w < 1, but a t angle fi/4 radians i n the conservative case when w = 1.

x.(.,) a t t he J J

X axis i n f igures 16 t o 28

The ca lcu la t ions f o r p > 1 can be checked with t h e tabula t ion i n r e fe r - ence 2 f o r p s 20. The agreement i s sa t i s f ac to ry . Since extending t h e de f in i t i ons of t he X- and Y-functions t o values of p > 1 involves only t h e i r calculated values i n 0 < p <1, there i s no reason t o suppose t h a t t he accuracy a t t h e higher values of p is l e s s than t h a t found i n t h e range o < p < 1 .

The l i n e s of constant T o (dashed) on t h e curves can be shown t o have zero slope as p + 0. They a l l begin a t t h e point (1,O) and end, as p - m,

on t h e l i n e X = Y.

I I1 I1 I I I I l l I l l1 I1 I1 I1 I l l l l l l l l l I

The moments %(To)., Pn(T0) (eqs. (14)) a r e shown i n f igu res 30 t o 33 f o r n = O Y l , 2 . , 3 . They are p lo t t ed i n a manner somewhat similar t o t h e X-Y p l o t s , except t h a t here t h e albedo w varies from curve t o curve s ince t h e var iab le p no longer en te r s . n = 0 ( f i g . 3O), t he re i s a simple r e l a t i o n between t h e moments (ref. 1, p . 187, with

For Y( p) = w/2)

; a. = 1 - [l - w + (; Po)] 2 1/2

The curves of Po vs. a. are therefore a r c s of hyperbolas. If w = 1, t h e hyperbola degenerates t o t h e l i n e

a0 + Po = 2

The moments are shown through n = 3 because a3, P 3 appear i n so lu t ions f o r ce r t a in r ad ia t ion problems i n both planar and spherical geometries (see r e f . 1 3 ) . The spec ia l values f o r w + 0 are e a s i l y found t o be

where En(Z) i s t h e familiar exponential i n t e g r a l function defined by

The l i n e s of constant 33. Agreement of t h e numerical r e s u l t s with t h e t a b l e s i n reference 2 i s sa t i s fac tory ; no p lo t t ab le differences i n values f o r t he an, Pn with n = 0,1,2 were found. The case n = 3 i s not presented i n reference 2 , bu t a short t a b l e appears i n reference 1 4 with which s a t i s f a c t o r y agreement w a s found.

To a h 0 appear on these moment curves, f igures 30 t o

Noncoherent Sca t te r ing

In the case of noncoherent s ca t t e r ing (with Doppler broadening) t h e only ex is t ing ca lcu la t ions of X- and Y-functions known t o the authors a r e those of valuable check on t h e l imi t ing values of X as equations (23) . check f o r values of w > 0.9, espec ia l ly f o r t h e l a r g e r values of z . For t h i s reason, t a b l e I shows values of z and T~ only when w S 0.9. Also shown i s the value

X(z;w) = H(z) given by Ivanov and Nagirner i n reference 7. These form a T~ + 00 i n t h e in tegra t ion of

It w a s found d i f f i c u l t t o achieve good accuracy i n t h i s

X(z;To), Y ( Z ; T ~ ) f o r selected values of

which i s usefu l i n many ca lcu la t ions .

18

Some d i f f i c u l t y w a s encountered i n extending t h e order of quadrature formula beyond N = 9. f igu res encountered i n developing such formulas, and w i l l r equi re a consider- ab le computational e f f o r t t o surmount. Thus, r e s u l t s were obtained f o r N = 9. The l a r g e s t e f f ec t ive value of z , z = ZN, i s then z9 48 (complete t a b l e s of in tegra t ion points and weights w i l l be found i n the appendix). Hence, extrapolat ion t o is s t re tch ing t h e method r a the r far. It i s surpr i s ing t h a t t h e r e s u l t s are adequate f o r w 5 0.9. Results f o r w > 0.9 would presumably be somewhat b e t t e r if quadrature formulas f o r higher values of N w e r e ava i l ab le . How- ever, much i n t e r e s t i n t h e case of noncoherent s ca t t e r ing l i e s i n t h e values of w d i f f e r ing from un i ty by t o so t h a t quadrature formulas of qu i te high order w i l l probably be necessary f o r complete solut ion with a l l des i red values of t he var iab les . On t h e other hand, asymptotic results are known and a r e used with good results i n reference 8.

The d i f f i c u l t y i s t h e usual one of l o s s of s ign i f i can t

z = l o 4 , by means of function values fo r z c 48,

Table I1 gives results f o r X- and Y-functions as they appear from in te - g ra t ion of t h e approximate d i f f e r e n t i a l equations ( 2 3 ) . of are l i s t e d . They a r e given i n case t h e reader des i r e s t o perform in tegra t ions involving these funct ions. Also given a r e the corresponding in tegra t ion poin ts , i n terms of both u and z , and t h e weight members H j . I n addi t ion, t he moment functions an, Pn f o r n = 0,l a r e l i s t e d , as i s the moment Pp1(T0), which occurs i n the d i f f e r e n t i a l equations ( 2 3 ) .

That is , t h e values x j , y j ( j = 1, . . . , 9 ) , a t interpolated values of T o

Graphical representat ions of the X- and Y-functions appear i n f i g - ures 34 t o 45. case, and the bounding t rapezoids are a l s o i d e n t i c a l t o those of t h e corresponding (same w) e a r l i e r cases . In f a c t , t he so l id curves ( Y v s . X f o r constant z ) a r e much t h e s a m e i n appearance as t h e e a r l i e r (coherent) ones; t h e main d i f fe rence i s i n the l i n e s of constant T~ (dashed l i n e s ) . These a r e qui te d i f f e r e n t i n t h a t s i m i l a r numerical values of X and Y occur a t g rea t e r values of T~ i n t h e noncoherent than i n t h e coherent case. In addi- t i o n t o the values of z l i s t e d a t t h e top of each f igu re , t he re are 5 addi- t i o n a l l i n e s of constant z These a r e f o r z = 30, 200, 2,000, 5,000, 10,000, reading from l e f t t o r i g h t , and a r e shown w i t h long dashes.

The scheme i s the same as used i n the coherent-scattering

i n f igu res 43, 44, 45 (a = 0.93, 0.99, 0.993) .

The in tegra t ion procedure must run much longer i n the noncoherent prob- l e m t h a n i n the coherent one, although t h e process i s s t i l l ha l ted when Y N ( T ~ ) < E , E being general ly10-3. However, s ince values of z >> ZN are represented, it may be t h a t t h e value of T~ s u f f i c i e n t t o make YN < E i s not ye t g rea t enough t o make curve is not completed, but t h e ultimate poin t , X(z;m) = H(z) , i s shown as a t i c k on t h e X axis. These values agreed w e l l w i t h those of reference 7 when w r; 0.9. For l a r g e r values of w, p l o t t a b l e d i f fe rences f r o m t h e r e s u l t s of reference 7 were found. been adjusted t o come t o t h e values given i n reference 7 on t h e This a l t e r a t i o n i s only necessary f o r t h e higher values of z , say z 2 50. The reason fo r l ack of confidence i n t h e present ca lcu la t ions i n t h i s region i s t h a t runs with N = 4 t o N = 9 showed continuing changes i n t h e values of

Y(z;To) < E, z >> ZN. In such cases , t h e X - Y

In these cases ( f i g s . 44 and 45), t h e curves have X axis.

X and Y. Hence, w e must conclude t h a t t h e 9-point formula i s not s u f f i c i e n t l y accurate when w > 0.9. The accompanying sketch illustrates t h i s matter. Here, t h e value of X ( z ; a ) i s p lo t t ed aga ins t N - l , N being, as usual , t h e order of t he quadrature formula used. The value a t N - 1 = 0 is taken from the t a b l e s of reference 7. The worsening convergence t o t h e cor rec t value is seen as w is changed from 0 .9 t o 0.99.

I t i 20

j 0 Present Method

I/N

z = 1000 !+ t

I p-1 0 Present Method

t 200 - 0 0 0 I I

w-0.99 -Ref. 7

.i I/N 0

Sketch (a) .- Convergence of quadrature method f o r increasing order of accuracy

The lessened accuracy of t h e noncoherent results as w + 1 must be ascribed t o inadequacy of t he quadrature formula , s ince spot checks with equation (26b) indicated t h a t t he numerical so lu t ion of t he d i f f e r e n t i a l equations was uniformly adequate.

Some of t h e present results were used i n reference 8, which gives examples showing some appl icat ions of t he problems, as well as agreement with ca lcu la t ive methods t h a t used e n t i r e l y d i f f e ren t approaches.

X- and Y-functions t o physical

Figures 46 t o 49 give a d i f f e ren t p ic ture of t he va r i a t ion of t h e and Y-functions. var iab le z as parameter (p f o r t he coherent funct ions, shown dashed). It is possible t o compare t h e behavior of coherent and noncoherent functions f o r a l a rge range of values of albedo w. The quicker approach of t he coherent values t o the r e s u l t s f o r t h e o p t i c a l l y t h i c k l aye r can be seen, p a r t i c u l a r l y when w -+1. Also, f o r t he smaller values of w, t he r a the r c lose approach of t he two s e t s of Y-functions, e spec ia l ly a t l a r g e r To, i s in t e re s t ing .

X- Here, they a r e p lo t ted aga ins t t he logarithm of T ~ , ’ with

The moments ao, Po were p lo t ted i n f igu re 50 i n t h e same manner as t h e i r counterparts i n the coherent s ca t t e r ing case. The so l id curves, one f o r each value of w chosen, a r e exac t ly as before , s ince the same i d e n t i t y holds, t h a t i s ,

20

The d i f fe rence between f igu re 90 and i t s coherent counterpart ( f i g . 30) l i e s i n t h e To l i n e s . That is , t h e moments a O ( T O ) , P O ( T O ) d i f f e r much as t h e functions X, Y between t h e two cases . Thus, a p a r t i c u l a r p a i r of values (ao, Po) ( f o r a given a) i n t h e coherent case is a t t a ined a t a smaller value of -r0 than i n t h e noncoherent case. This i s p a r t i c u l a r l y not iceable a t t h e l a r g e r values of - r0 .

The l imi t ing values as w --f 0 of t h e zero-order moments, which were

i n the coherent case, a r e now

ao(-ro) = 1

Po(-ro) = K2(-rO)

f o r noncoherent s ca t t e r ing . The function K 2 ( T 0 ) i s t h e counterpar t , fo r Doppler broadening, of t he exponential i n t e g r a l function

-1 -702

E2(70) = dz

It i s given by

where F(z) i s the funct ion defined i n equation (18) ( see r e f . 8 ) .

The f i rs t moments, al(-ro) and P 1 ( - r 0 ) , do not partake of any s i m i l a r i t y with t h e i r coherent counterpar ts . A s defined by equations (27c,d), they a r e negative. increasing T o . Hence, t he same type of p l o t ( P I vs. al) i s not so useful i n t h e present case. Figure 31 s h o w s - P 1 p lo t t ed against -a1, t h e so l id l i n e s again drawn f o r constant w, and t h e dashed l i n e s f o r constant To . In t h i s case ( see r e f . 8)

Also (as shown i n r e f . 8 ) , I P11 increases without bound with

as w -+ 0. Here,

K 3 ( ~ O ) = (e-'"-

21

i s t h e Doppler broadening analog of t h e exponential i n t e g r a l function

U

The inse t on f igure 51 shows a l a r g e r view of t h e moment v a r i a t i o n . I n f i g - ures T2 and 33 both -a1 and - P 1 a r e p l o t t e d against t h e logarithm of - r0 . The curves f o r al(-rO) approach an asymptote as -ro + a, but those f o r p1(-r0) do not. Thus, t h e P 1 curves are stopped a t the las t calculated value f o r increasing - r 0 , and t h i s last value of -ro d i f f e r s f o r d i f f e r e n t values of w. Asymptotic formulas f o r t h e moments a l , P 1 can be found i n reference 8.

A SIMPLE ANALYTIC APPROXIMATION

It appears t h a t ana ly t ic approximations t o solut ions of rad ia t ion t rans- f e r problems a r e i n some demand, as judged by t h e l a r g e amount of work t h a t has been devoted t o the Schuster-Schwarzschild approach, the Eddington approximation, e t c . It may be of i n t e r e s t then, t o note t h a t the approach used i n t h i s paper, a spec ia l way of calculat ing X- and Y-functions, a l s o y ie lds a very nice s e t of approximate ana ly t ic results.

The approximate d i f f e r e n t i a l equations, such as (7) or ( 2 3 ) , used t o replace the exact in tegro-d i f fe ren t ia l equations, respect ively, (4 ) and (l9), are s t i l l nonlinear. They a r e not , therefore , amenable i n general t o ana ly t ic solut ion. However, i n the most approximate case, i n which N = 1, some progress can be made. The i n t e g r a l terms a r e then replaced by the integrand evaluated a t a s ingle point of the i n t e r v a l , and t h e number of d i f f e r e n t i a l equations t o be solved is reduced t o two. Although these a r e s t i l l nonlinear, they can be solved.

This approach i s analogous t o t h a t of Schuster and Schwarzschild (both these papers a r e conveniently repr inted i n r e f . 9) i n which t h e rad ia t ion i s broken i n t o d i s c r e t e streams. The advantage of the present approach i s the usual one held made t o depend and 10).

If N = l on x 1 and yl)

by t h e X- and Y-functions; whole c lasses of problems can be upon knowledge of these functions and t h e i r moments ( r e f s . 1

is chosen i n equations ( 7 ) , t h e r e s u l t i s (dropping subscr ipts

- - - dx d-rO

w Y - Y H 1 - 2 I J - 1

The same r e s u l t w i l l appear i f N = 1 i s chosen i n the noncoherent case, except t h a t I J - ~ becomes z 1 . Actually, H 1 = 1 i n both cases, s ince the

22

zero-order moments of t h e weighting functions are uni ty . can be t r ea t ed and p 1 can be properly in te rpre ted l a t e r . If a new independent var iab le t i s introduced i n equations ( 3 O ) , by means of

Thus, equations ( 3 0 )

dt = y d T O

they become l inear :

2-22 2 c L 1

and the solut ion can be examined i n the phase ( o r (x ,y) ) plane. conditions are s t i l l

The i n i t i a l

x = y = l when t = T~ = 0 (32c 1 An i n t e g r a l of these equations i s r ead i ly found:

s o t h a t

4 x2 - y2 = - (x + const .) w

Since x = y = 1 a t t = 0 , t h e constant i s known and the in t eg ra l i s

or 4 x2 - y2 = - ( x - 1) w

T h i s so lu t ion ( o r the eqs. (32) ) shows tha t a saddle point i n the (x,y) plane e x i s t s a t (2/w, 0 ) . Hence, only one s e t of i n i t i a l conditions ( i n a given quadrant) can produce a solut ion enter ing (2/w, 0 ) . This s e t is not (1,l) unless w = 1. In a l l o t h e r cases (a <1) t he i n t e g r a l curves are a r c s of hyperbolas through (1,l) which extend t o (-a, -m) as t increases . However, i n t e r m s of t he var iab le of i n t e r e s t T ~ , r a the r than of t , t h e

simple, and t y p i c a l saddle-point w s ingu la r i ty of t h e system (30) is not

2 j W x

Sketch ( b ) . - Behavior of so lu t ions x ( t ) , y ( t ) near saddle poin t .

behavior cannot be expected. Solutions i n terms of -r0 can be found by using y' from equation (33) i n equation (30a) :

or

This i s a Ricca t i equation, and i t s so lu t ion with .x(O) = 1 is

where

6 = J 1 - W

Similar ly , it i s found t h a t

I n t he conservative case, w = 1, the r e s u l t s simplify grea t ly :

The solut ions given i n equations ( 3 5 ) , now i n terms of the physical var iable To, show the cor rec t qua l i t a t ive behavior a s To + a ~ . That i s , t he functions than receding t o i n f i n i t y as they d id i n terms of the intermediate var iab le t . However, t w a s a usefu l intermediary s ince it opened the p o s s i b i l i t y of using phase-plane-like p lo t s f o r X and Y, and such p l o t s a r e very edifying as t o t h e general behavior of these complicated funct ions.

x (TO) , y(To) approach f i n i t e values f o r very l a rge T o , r a the r

The x,y given by equations (3.5) represent an approximation t o X(p1; T o ) , Y ( p 1 ; To). Note t h a t

l i m Y ( p l ; T o ) = 0 70-

2 - 2 l i m X(pl;-ro) = - - TO- l + J G

The l imi t ing expression f o r H(p1). i s used, p 1 = (1/2) , so t h a t t h e approximation has l e d t o t h e r e s u l t

X(pl ;To) is an approximation t o t h e function In t h e coherent-scattering problem, where Gauss-Legendre in tegra t ion

Checks with exact r e s u l t s l i s t e d i n reference 1 (p. 125) show tha t t h e above i s not i n e r r o r by more than 3 percent i n 0 < w <l.

In t h e noncoherent s ca t t e r ing case, p 1 becomes z1, and from values l i s t e d i n the appendix it i s found t h a t z 1 0.684. The t a b l e s of re fer - ence 7 give H(z) f o r t h e Doppler broadening t r e a t e d here , and i n t h i s case t h e e r r o r of t h e above approximation var ies from p r a c t i c a l l y zero near t o about 15 percent a t w = 1. It appears a l ready t h a t t he approximate r e s u l t s a r e dest ined t o be much b e t t e r f o r coherent s ca t t e r ing than f o r noncoherent .

w = 0

An in t e re s t ing f a c t emerges if t he zero-order moments of the X- and Y-functions a r e approximated according t o the present scheme. Then,

P l

a. = J X dp = x(T,) 0

J O

Hence, by means of equation ( 3 3 ) ,

a result which has appeared previously, and which i s an exact r e l a t i o n f o r both coherent and noncoherent s ca t t e r ing . Furthermore, t h e moment of t he H-function,

H(p)dp = l i m a o ( T O ) = 2 w (1 - d z ) (37) 70-

i s again an exact value, f o r both types of s ca t t e r ing considered herein. The in t eg ra l s def ining t h e moments f o r t h e noncoherent case are d i f f e r e n t f rom those above, but t he quadrature results a r e t h e same i n t h e present approximation of single-point quadrature. Higher order moments than t h e zeroth do not share t h e property of agreement with exact r e s u l t s .

Values of by solving equations 73). equations (2) become

X(p; T ) , Y(p; To) can be obtained, in consistent approximation, Thus, using again the N = 1 quadrature,

The solutions for X and Y are

The solution for X gives, as To -+ 00, an approximation to the H-function:

In the coherent case, this formula is never in error more than about 4 percent, for any p or W.

wh i c h be c ome s However, for noncoherent scattering, formula (bo),

0.684 + z

0.684 + ,/- z H(z) 5

is only useful when is meaningless.

w 9 0.9; for the values close to unity this approximation

To show the equivalence of the present results with the method of Schuster and Schwarzschild (for coherent scattering), consider a problem solved by them (see ref. 9, p. 42). port through a slab, with diffuse radiation incident on one side, and a vacuum at the other side. ditions given in reference 8, this corresponds to that of intensity I(0,p) = const. = B entering at T = To.

into p to convert from noncoherent to coherent scattering, is

This is the problem of radiative trans-

From the systematic presentation of boundary con-

I ( T ~ , - ~ ) = 0 at the other side T = 0, and The formal solution, requiring only a change of the variable z

This is the intensity at B at T = 0.

T = T~ leaving the slab, given the diffuse input

26

Consider, as i n reference 9, t h e conservative case w = 1. The spec ia l solut ions (3%) can be applied i n evaluating (41) ( r e c a l l t h a t p0 = y) t o give

a. = x,

Now, by means of equations (39) , it i s found t h a t

I n t h e notation of Schwarzschild, the expression on the r i g h t of (43) i s b ( 0 , i ) , where ence 9 (p . 42). Schuster-Schwarzschild approximation, and, because of t h e wide a p p l i c a b i l i t y of the X- and Y-functions and t h e i r moments, a f ford an easy and v e r s a t i l e approximation technique f o r problems i n t h e t ransport of rad ia t ion through s labs .

cos i = p, and is i n agreement with the r e s u l t given i n refer- Hence t h e results of t h e N = 1 approximation agree w i t h t h e

Further v e r s a t i l i t y of the technique i s shown when nonisotropic s c a t t e r - ing i s considered. Then, t h e c h a r a c t e r i s t i c function Y (p) of Chandrasekhar en ters the in tegra ls i n equations (4) as a weight function, v iz . :

In the conversion of these i n t o a s e t of d i f f e r e n t i a l equations, the quadra- t u r e formulas can be a l t e r e d so as t o take the weight function account. i n p2. i n t e r v a l (O,l), i s something analogous t o the s e t (44) w i t h charac te r i s t ic function

Y ( p ) i n t o In physical problems w i t h coherent sca t te r ing , Y(p) i s a polynomial

The noncoherent case studied above, a f t e r transformation t o the

In t h e coherent case, a problem of nonisotropic sca t te r ing of i n t e r e s t involves Rayleigh sca t te r ing (see r e f . 1). The c h a r a c t e r i s t i c function then i s , i n p a r t ,

If we require an approximate N = 1 solut ion, it is e a s i l y found t h a t the proper integrat ion formula gives

27

I?.

By carrying through t h e d e t a i l s again we a r e l e d f i n a l l y t o the approximate H-f unct ion

This can be compared with exact results i n reference 1 (p. 132) and t h e e r r o r s a r e found t o be l e s s than 4 percent f o r all p.

Ames Research Center National Aeronautics and Space Administration

Moffett F ie ld , Ca l i f . , 94033, Apr i l 23, 1968 129-04-02-01-00-21

28

APPENDIX

DEVELOPMENT OF GAUSS QUADRATURE FORMULAS

In t h i s appendix, some d e t a i l s of t h e development of t h e pa r t i cu la r quadrature formula, of Gauss type, used i n reducing t h e in tegro-d i f fe ren t ia l equations t o d i f f e r e n t i a l equations i n t h e case of noncoherent s ca t t e r ing w i l l be given. The der iva t ion of t h e quadrature formulas follows t h a t of reference 16.

The weighting function t o be d e a l t with here i s

and the in t e rva l of i n t eg ra t ion i s z > 0. To start , the var iab le changed;

U z = - 1 - u

The problem i s now one of determining a formula of t he type

where

In terms of u, t he weighting funct ion i s f ( u ) ( l - u ) - ~ , and the i n t e r v a l of in tegra t ion is (0,l). The f i n i t e sum a t the end of expression (A3) i s the Gauss-type quadrature formula appropriate t o the weighting function and inte- g ra t ion in t e rva l . A s pointed out i n the t e x t , t h e var iab le z i s changed t o u because polynomials i n z a r e unsui table objec ts for G(z) i n (A3), and the quadrature formulas of Gauss type r e l y upon replacement of t h e a r b i t r a r y funct ion i n an i n t e g r a l by a polynomial. Inc identa l ly , f o r m u l a (A3) w i l l be exact i f G[u/( l - u ) ] i s a polynomial i n u of degree < 2 N .

The der iva t ion of t he quadrature formula depends upon t h e development of t h e s e t of polynomials which are orthogonal on t h e i n t e r v a l (0 , l ) with weight funct ion f ( u ) ( l - u ) - ~ . does not harm t h e s i t ua t ion , for

The apparent s ingu la r i ty of t h i s weight funct ion

29

I I II I I I I I I 111 IIIIIIII I I l l 11111111111111 1..11111111 II II 111111

L e t - n n- 1 hn(U) = u + an,n-lu + . . . + a n l u + a , n,o

be a set of polynomials having the propert ies

Any monomial uk can be expressed as k

uk = 7 bvhv(u) .-l

v=o

s o , from ( A 6 )

k = O , l , . . . , n - 1 f(') u% (u)du = 0 ; n

Hence, the s e t of l i n e a r equations

must hold, where

f ( u ) du (1 - u)2

Jn =l un 0

a r e t h e moments of the weight function. There a r e n nonhomogeneous equa- t i ons i n n unknowns, so a solut ion e x i s t s . L e t

1 . . . , an ,n- 1 AT = [an,o a n , i 9

-Jn+i 9 . . . , -Jzn- 1 1 T B = [ -Jn y

I

. . . 1 J1 I J j J =

J2n-2 . . Jn- 1

The system of l i n e a r equations can then be wr i t ten

I J A = B

A = J - ~ B

rJo J1 . . . Jn- 1 1

The system of l i n e a r equations can then be wr i t ten

I J A = B

A = J - ~ B

so t h e coe f f i c i en t s constant yn of equation (A6) i s

a,,k (k = 0, . . . , n - 1) can be determined. The

- - B ~ A - J.a

By formation of t h e new polynomials

ca l l ed a normalized s e t , or orthonormal s e t , t he r e l a t i o n (A6) can be wr i t ten

where 6n,m i s Kronecker's d e l t a . If

UT = 11, u, u2, . . . , un- 11

then - hn(u) = un + AT U

Once t h e appropriate orthogonal polynomials a r e found, t h e quadrature points u j and weights H j are found as follows. The points u j , appropri- a t e t o a quadrature formula of order N (exact f o r polynomials - of degree <2N), a r e simply the zeros of the orthogonal polynomial hN(U) ( O r hN(u)) . The weights f o r order N a r e given by ( r e f . 1-5)

where t h e superscr ip t N on H and u is dropped when the re is no danger of confusion.

It i s seen t h a t t h e determination of t h e quadrature constants f o r t h e N-point formula depends upon evaluat ion of t h e moments f o r n = 0, 1, . . . , 2N. To proceed then,

Jn of equation (A8)

by reversa l of order of in tegra t ion i n t h e second i n t e g r a l .

Now,

l(&- dz = z

= z - 2n(1 + z)

If these r e s u l t s a r e used i n equation ( U 4 ) it i s found t h a t

Jo = 1 I 1

where

The in t eg ra l s involved i n t h e evaluation of Jn do not a pear t o be expressible i n closed form. Hence, because of t h e f ac to r e-t’, Gauss-Hermite in tegra t ion w a s used t o evaluate them. Extensive t a b l e s of t h e necessary con- s t a n t s appear i n reference 16. The ca lcu la t ion w a s done with double precision rout ines . The order of t h e H e r m i t e quadrature w a s increased u n t i l , f o r N = 128 and N = 136, t h e highest order moments needed (J18) agreed t o 12 s ig- n i f i c a n t f i gu res . The l a rge number of s ign i f i can t f i gu res w a s needed a t t h i s point i n order t o emerge with 6 s ign i f i can t f igures i n the values of u j and H j .

The highest order quadrature fo rmula it w a s possible t o obtain by the methods out l ined above w a s N = 9. The l imi t ing f ac to r w a s loss of s i g n i f i - cance i n the ca lcu la t ion of t h e number numerical techniques would presumably make it possible t o proceed much farther i n order of quadrature formulas, but t h i s w a s not attempted.

7, (eq. (AlO)). More sophis t icated

Quadrature constants f o r N = 1, 2, 3, . . . , 9 a r e l i s t e d here, as well as t h e 12-figure values used for Jo, . - * 7 J18*

NLJNEXICAL VALUES OF THE INTEGRALS Jn

n Jn 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

1 .oooooooooooo 0.406054330747 o .207210018073 o .120762620804 o .0778858805176

o .0320045952694 o .0261611488506

0 -0189899639392 o .0166617729101 o .0148274772820 o .0133465598914 0.0121265898628 0.0111043824712 0.0102362504330 0.00948958167390 o .0088408 7127241

0.0345068874530 0 -0407163972335

0.0220342101772

33

GAUSSIAN QUADRATURE COEFFICIENTS AND NODES FOR THE WEIGHT FUNCTION f (u) (1 - u ) - ~

N = l

- j u j H j

1 0.406054 1.000000

N = 2 1 0.225155 0.563989 2 0.640051 0.436011

N = 3 1 0.119502 0.258603 2 0.447136 0.624230 j 0.819642 0.117167

N = 4 1 0.0742117 0.150891 2 0.328622 0.454996 3 0.580330 0.341234 4 0.894617 0.0528791

N = 5 N = 8

- j u j H j

1 0.0494660 0.0968951 2 0.233981 0.276002 3 0.461913 0.462189 4 0.706986 0.135658 5 o .9 32551 0.0292558

N = h 1 o .0355161 o .0681397 2 0.174230 0.186523 3 0.374072 0.372669 4 0.556835 0.280783 5 0.786650 o .07 32523 6 o .95 3040 0.0186 324

N = 7 1 0.0265503 0.0502379 2 0.132880 0.132587

4 0.469896 0.369843

6 0.840079 0.0452004 7 o .965690 o .0127762

3 0.296638 0.255900

5 0.652616 0.133435

5 6 7 8

U i

0.0206792 0.104843 0.240042 0 -399995 0.544236 0.722574 0.875754 0 -973792

N = 9

Hj

0.0387768 0.0998762 0.187145

0.0794802 0.03084 33 0.00931584

0 * 315221 0.239342

1 0.0167683 2 0.0855469 3 0.198382 4 0.338006 5 0.477206 6 0.623688 7 0.777405 8 0.902132 9 0.979606

0 -0312371 0.0787568 0.142668 0.2 34803 0.307708 o ,124269 0.0515839 0.0219967 0.00697702

34

1. Chandrasekhar, S.: Radiative Transfer. Dover, N. Y., 1960.

2. Sobouti, Yousef: Chandrasekhar's X-, Y-, and Related Functions. Astrophys. J., Supp. Series, vol. 7, no. 72, Jan. 1963, pp. 411-560.

3. Carlstedt , J. L .; and Mullikin, T. W. : Chandrasekhar's X- and Y-Functions. pp. 449-586.

Astrophys. J., Supp. Series, vol . 12, no. 113, March 1966,

4. Bellman, R.; Kagiwada, H.; Kalaba, R.; and Ueno, Sueo: Numerical Results for Chandrasekhar's X and Y Functions of Radiative Transfer. J. Quant . Spectr . Radiative Transfer, vol. 6, no. 4, July/Aug. 1966, PP. 479-500.

5. Ivanov, V. V.: Diffusion of Resonance Radiation in Stellar Atmospheres and Nebulae. I. Semiinfinite Medium. Soviet Astron. - AJ (English Trans.) vol. 6, no. 6, May-June 1963, pp. 793-801.

6. Ivanov, V. V.: Diffusion of Resonance Radiation in Stellar and Nebdar Atmospheres. 11. A Layer of Finite Thickness. Soviet Astron. - AJ (English Trans.) vol. 7, no. 2, Sept.-Oct. 1963, pp. 199-206.

7. Ivanov, V. V.; and Nagirner, D. I.: H-Functions in the Theory of Trans- fer of Resonance Radiation. Astrophysics, vol. 1, no. 2, April-June 1965, pp. 86-101.

8. Heaslet, M. A.; and Warming, R. F.: Theoretical Predictions of Spectral Line Formation by Noncoherent Scattering. J. Quant. Spectr. Radiative Transfer, vol. 8, no. 4, April 1968, pp . 1101-1146 -

9. Menzel, Donald H., ed.: Selected Papers on the Transfer of Radiation. Dover, N. Y., 1966.

10. Sobolev, V. V.: A Treatise on Radiative Transfer. Van Nostrand, N. Y., 1963 -

11. Chamberlain, Joseph W.; and Sobouti, Yousef: Fluorescent Scattering in Planetary Atmospheres. I. Basic Theoretical Considerations. Ap. J., vola 135, no. 3, May 1962, PP. 925-937.

12. Sobouti, Yousef: Fluorescent Scattering in Planetary Atmospheres. 11. Coupling Among Transitions. Ap. J., vol. 135, no. 3, May 1962, PP. 938-954.

13. Heaslet, Max. A.; and Warming, Robert F.: Radiation Flux From a Slab or Sphere. J. Math. Anal. Appl., vol. 14, no. 2, May 1966, pp. 359-369.

35

II II 111 11111111 I 1 1 . 1 1 1 1 1 . 1 1 1 1 1 1 ~ 1 1 . " . ' . . I I I . .. - . .......-----

14. Heaslet, Max. A.; and Warming, Robert F.: Application of Invariance Pr inc ip les t o a Radiative Transfer Problem i n a Homogeneous Spherical Medium. J. Quant. Spectr . Radiative Transfer, vol. 5 , no. 5 , Sept ./Oct . 1963 , pp . 669-682.

13. Hildebrand , F. B. : Introduction t o Numerical Analysis. McGraw H i l l , N . Y., 1956.

16. Stroud, A. H.; and Secres t , Don: Gaussian Quadrature Formulas. Prent ice H a l l , Englewood C l i f f s , N . J. , 1966.

36

TABLE I. - VALUES OF X( Z; T,) AND Y( Z; To) FOR NONCOHERENT SCATTERING WITH DOPPLER BROADENING; RANG% o < z 5 03, 6 < w s 0.9, T~ INCREASING FROM To = 0.

OHEGA = 0.10 TAU = 0.050 TAU - 0.100 TAU - 0.200 1AU 0.300

1 0.01 0.05 0.10 0.20 0 . 3 0

0.40 0.50 0 .60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

1.50 10.00 15.00 20.00 30.00

50.00 1 5 . 0 0

100.00 150.00 200.00

300.00 400.00 5 0 0 . C O 750.00 1000.00

2000.00 30C0.00 4000.00 5000.00 6 0 0 0 . 0 0

10CO.OO 8000.00 9 0 0 0 . 0 0 10000.00

INF

X Y X Y 1.0017E 00 8.1499E-04 1 . 0 0 1 7 1 00 5 . 4 0 1 2 1 - 0 4 1.0055E 00 1 . 3 9 3 5 E - 0 1 1 .0059E 00 2 . 1 4 0 3 1 - 0 2 1 .0074E 00 3 . 7 4 1 8 1 - 0 1 1.0089E 00 1.41481-01 1.00881 00 6 . 1 4 6 8 E - 0 1 1 . 0 1 1 9 1 00 3 . 7 1 6 6 1 - 0 1 1 .0094E 00 7 . 2 5 4 6 E - 0 1 1 . 0 1 3 3 1 00 5 . 2 5 0 7 1 - 0 1

1 .0017E 00 7 .1826E-03 1.00451 00 3.118OE-01 1 .0054E 00 6 . 1 1 5 6 E - 0 1 1 . 0 0 5 9 1 00 1 . 8 4 5 5 1 - 0 1 1.0062E 00 8.5250E-01

L.0063E 00 8 .8866E-01 1 .0063E 00 9 . 1 1 0 8 1 - 0 1 l .OO64E 00 9 . 2 6 3 5 E - 0 1 1 .0064E 00 9 .4519E-01 1 .0065E 30 9 . 5 1 6 5 E - 0 1

1 .0141E 00 6 . 1 9 3 0 1 - 0 1 1 . 0 1 5 6 1 00 6 . 8 3 8 2 E - 0 1 l.01SOE 00 1 . 3 0 5 5 1 - 0 1 1.015kE 00 1 . 9 3 5 1 E - 0 1 1 .0157E 00 8 . 3 3 8 7 1 - 0 1

1.0166E 00 4 . 8 6 4 1 E - 0 1 1.01751 00 5 . 6 4 0 7 8 - 0 1 I .OlB1E 00 6 . 2 2 6 8 E - 0 1 1.0189E 00 1 . 0 4 6 4 E - 0 1 1.OL94E 00 7 . 5 8 9 5 E - 0 1

1.0065E 00 9 . 7 3 7 0 E - 0 1 1.0105E 00 9 . 4 5 8 8 E - 0 1 L .0106E 00 9 . 6 1 7 0 1 - 0 1

1.0201E 00 8 . 3 1 9 7 E - 0 1 1.0205E 00 8.8053E-01 1.0209E 00 9 . 2 5 2 l E - 0 1 1 . 0 2 I L E 00 9 . 4 8 4 9 E - 0 1 1.0212E 00 9 . 6 2 7 0 E - 0 1

~ ~~~~. .~ ~. .. 1.0065E 00 9 . 8 1 8 2 E - 0 1 l t O O 6 6 E 00 9 . 9 0 0 2 E - 0 1 1 .0066E 0 0 9 . 9 4 1 4 E - 0 1

1 .0106E 00 9 . 7 7 7 9 8 - 0 1 1 . 0 1 0 l E 00 9 . 8 5 9 4 1 - 0 1 I . 0 1 0 7 E 00 9 . 9 0 8 6 E - 0 1 1 .0066E 00 9 .9662E-01

I . 0 0 6 6 E 00 9 .9994E-01 1 .0066E 00 1 .0016E 00 1 - 0 0 6 6 E 00 1 .0033E 00 l.OO66E 00 1.0041E 00 1.0066E 00 1.0049E 00

1 . 0 0 6 6 1 00 1 .0056E 00 1 . 0 0 6 6 1 00 1 . 0 0 5 9 1 00 1.0066E 00 1 .0061E 00 1 .0066E 00 I . 0 0 6 3 E 00 1 .0066E 00 L .0064E 00

1.0066E 00 I . 0 0 6 4 E 00 1 .0066E 00 1 .0065E 00 1 .0066E 00 1 .0065E 00 1 .0066E 00 1 . 0 0 6 5 E 00 1.0066E 00 1 .0066E 00

1 .0066E 00 1 . 0 0 6 6 E 00 L.0066E 00 1 . 0 0 6 6 E 00 1 . 0 0 6 6 E 00 1.0066E 00 1 . 0 0 6 6 E 00 1.0066E 00 1 .0066E 00 L.OO66E 00

L .0066E 00 1 .0066E 00 1.0066E 00 1 .0066E 00 1.0066E 00 1 . 0 0 6 6 E 00 1.0066E 00 1 . 0 0 6 6 E 00 I .OO66E 00 1 .0066E 00

1 . 0 1 0 l E 0 0 9 . 9 7 4 5 E - 0 1 1 .0169E 00 9 . 9 0 4 5 E - 0 1 1.0214E 00 9 . 8 1 9 8 E - 0 1 1 . 0 1 0 7 ~ 00 1 . 0 0 0 8 ~ on 1 . 0 1 0 8 1 00 1 .00418 00 l . O l O 8 E 00 1.0058E 00

l . O l 6 9 E 00 9 . 9 7 0 3 E - 0 1 1.0169E 00 1 .0037E 00 1 . 0 1 7 0 1 00 1 .0010E 00

. .-. . . 1.0215E 00 9 . 9 1 1 6 E - 0 1 1.0215E 00 1.0016E 00 1.0216E 00 1 . 0 0 6 6 1 00

1 . 0 1 0 8 1 00 1 .0014E 00

1 .0108E 00 1 . 0 0 8 8 E 00

1.0170E 00 1.0103E 00 1.0216E 00 1 . 0 1 1 6 1 00

1.0217E 00 1 - 0 1 5 7 E 00 1 .0170E 00 1.013OE 00 L .01 lOE 00 1.0143E 00 I . 0 1 1 0 E 00 1 .0150E 00 1 . 0 1 7 0 1 00 1.0157E 00 1 .OL lOE 00 l . O l 6 O E 00

1 . O L l O E 00 1 .0164E 00 1 .0110E 00 1.0165E 00 1 .0110E 00 1.0166E 00 1 . 0 1 7 0 1 00 1.0168E 00 1 .0110E 00 1.0168E 00

1 . 0 1 1 0 E 00 1.0169E 00 1 .0170E 00 I . O l 7 O E 00 1.0170E 00 1 .0110E 00 1.017OE 00 1 .0170E 00 1 .0170E 00 1.0110E 00

1 .0110E 00 1 .0170E 00 1 .0170E 00 1.0110E 00 1.017OE 00 1.0110E 00 1 .0170E 00 1.0110E 00 1 .0170E 00 1.017OE 00

1 .0108E 00 1.0094E 00 l . O l O 8 E 00 1 . 0 0 9 8 E 00 l . O l O 8 E 00 1.0101E 00 l.OlO8E 00 1.0103E 00

1.0217E 00 1 . 0 l l l E 00 1.0217E 00 1 . 0 1 8 l E 00 1.0217E 00 I . 0 1 9 1 E 00 L.OZL1E 00 1.0202E 00

L.OIO8E 00 1.0104E 00 L.0108E 00 1 . 0 1 0 5 1 00 l . O l O 8 E 00 1 .0106E 00 1.0108E 00 1.0106E 00 l . O l O 8 E 00 1 .0107E 00

l.OlO8E 00 1 . 0 1 0 l E 00 I.OLO8E 00 1 . 0 1 0 l E 00 1.OIOBE 00 L.OlO8E 00 1 .0108E 00 l . O I O 8 E 00 1 .0108E 00 1 .0108E 00

l . O l O 8 E 00 L.OIO8E 00 1.0108E 00 l . O l O 8 E 00 l.OLO8E 00 1 .0108E 00 I.OLO8E 00 l.OLO8E 00 1.OIOBE 00 1 . 0 1 0 8 E 00

1 . 0 2 1 7 E 00 1.0207E 00 L.OZ11E 00 1.02IOE 00 1.0217E 00 1 .0211E 00 1 . 0 2 1 7 1 00 I . O Z L 3 1 00 1.0211E 00 1.0214E 00

1.0211E 00 1.0216E 00 1.0217E 00 1 .0216E 00 1.0217E 00 1.0216E 00 1.0217E 00 1 .0211E 00 I .0217E 00 1 .0217E 00

1.0211E 00 1 .0211E 00 1.0211E 00 1 .0211E 00 1.0217E 00 1.0217E 00 1.0211E 00 1.0217E 00 1.0211E 00 1 . 0 2 1 1 E 00

TAU = 0.400

X Y L.0017E 00 3 . 3 4 4 9 E - 0 4

TAU = 0 .500

X Y 1 . 0 0 1 l E 00 2 . 7 1 4 2 E - 0 4 1 .0059E 00 1 .5552E-03 1 .0095E 00 1 . 0 1 4 5 E - 0 2 1 .0143E 00 8 . 9 7 0 4 E - 0 2 I .OL12E 00 1 . 9 9 9 8 E - 0 1

1 1 0 1 9 2 E 00 3 . 0 0 2 4 E - 0 1

TAU = 0 .600

X V 1 . 0 0 1 7 E 00 2.343LE-04 1.0059E 00 1 . 2 7 0 3 8 - 0 3 1 .0095E 00 5 .3010E-03 1 . 0 1 4 5 1 00 5.6392E-02 L.0177E 00 1 . 4 5 4 5 E - 0 1

1.0199E 00 2 .3608E-01

TAU = 0.800

X Y 1.0017E 00 1 . 7 3 2 4 E - 0 4 1.0059E 00 9 . 2 5 0 2 E - 0 4 1.0095E 00 2 . 3 6 8 2 E - 0 3 L.0146E 00 2 . 3 2 2 5 E - 0 2 1 . 0 1 B I E 00 1.1573E-02

1.0206E 00 1 1 4 6 3 3 8 - 0 1

I 0.01 0.05 0.10 0.20 0.30

1 . 0 0 5 9 ~ 00 ~ . i s o 5 ~ - 0 3 1 .0095E 00 2 . 2 4 8 1 E - 0 2 1.0139E 00 1 . 4 4 0 0 E - 0 1 1 .0165E 00 2 . 1 5 5 2 E - 0 1

1 . 0 1 8 2 E 00 3 . 8 2 0 7 E - 0 1 0.40 0.50 0 . 6 0 0.80

1 . 0 1 9 3 E 00 4 . 6 5 1 7 8 - 0 1 1 . 0 2 0 2 E 00 5 . 3 0 4 9 E - 0 1 1.0213E 00 6 . 2 5 3 2 E - 0 1

1 .0206E 00 3 . 8 3 6 0 E - 0 1 1 .0216E 00 4 . 5 1 8 5 8 - 0 1 1 .0231E 00 5 . 5 4 1 1 E - 0 1

1 .0215E 00 3 . 1 6 3 1 E - 0 1 1 .0227E 00 3.8483E-01 1 .0244E 00 4 . 9 1 9 3 E - 0 1 1 .0255E 00 5 . 7 0 1 9 E - 0 1

1 . 0 2 2 5 E 00 2 . 1 5 3 8 E - 0 1 1.024OE 00 2 . 1 9 1 1 1 - 0 1 1.0261E 00 3 1 8 6 6 9 E - 0 1

1.00 1.022OE 00 6 . 9 0 2 5 E - 0 1 1 .0240E 00 6 . 2 7 4 l E - 0 1 1.0276E 00 4 . 1 0 5 0 E - 0 1

1.50 2.00 3.00 4.00 5.00

1 .0231E 00 1 . 8 7 5 2 E - 0 1 1 .0236E 00 8 . 4 1 2 1 E - 0 1 1.0242E 00 8 . 9 8 5 9 E - 0 1 1 .0245E 00 9 . 2 8 7 4 E - 0 1 1 . 0 2 4 7 % 00 9 . 4 7 3 1 E - 0 1

1 . 0 2 4 9 1 00 9 . 1 2 6 l E - 0 1 1 .0251E 00 9 .8560E-01 I . 0 2 5 2 E 00 9 . 9 8 7 0 E - 0 1 l . 0 2 5 2 E 00 1 .0053E 00 1 . 0 2 5 3 E 00 1.012OE 00

1 .0254E 00 1.0173E 00 L.0254E 00 1.02OOE 00 1.0254E 00 1 .0214E 00 1.0254E 00 1.0221E 00 1 . 0 2 5 4 1 00 1 .0234E 00

1.0254E 00 1.0241E 00 1.0254E 00 1.0244E 00 1 .0254E 00 I . 0 2 4 6 E 00 1 . 0 2 5 4 1 00 l . 0 2 4 9 E 00 1.0254E 00 1 . 0 2 5 0 1 00

1 .0272E 00 6 . 9 4 4 6 E - 0 1 1 . 0 2 8 1 1 00 1 .665OE-01 1.0290E 00 8 . 4 6 0 l E - 0 1

1.0298E 00 6 . 1 1 5 l E - 0 1 1.03LOE 00 6 . 9 1 4 3 E - 0 1

. . . . . . . 1.0295E 00 8 - 8 8 9 3 E - 0 1 1 .0298E 00 9 . 1 5 6 9 E - 0 1

7.50 10.00 15.00 20.00 30.00

I . 0 3 0 2 E 00 9 - 5 2 6 3 E - 0 1 1 .0304E 00 9 . 7 1 6 6 E - 0 1 1 .0306E 00 9 . 9 1 0 l E - 0 1 1 .0307E 00 1.0009E 00 1 .0309E 00 I . 0 1 0 9 E 00

1.0278E 00 9 . 6 2 8 2 E - 0 1 1.028OE 00 9 . 1 8 8 4 E - 0 1 1 . 0 2 8 2 E 00 9 . 9 5 1 2 E - 0 1 1 .0282E 00 1 . 0 0 3 4 E 00 1 .0283E 00 1 . 0 1 1 l E 00

I .034OE 00 9 . 3 1 5 9 E - 0 1 1.0343E 00 9 . 5 6 4 l E - 0 1 1.0346E 00 9 . 8 2 0 1 E - 0 1 1 . 0 3 4 1 1 00 9 . 9 5 0 4 E - 0 1 L.0349E 00 1.0082E 00

50.00 15.00

LOO.OO 150.00 200.00

300.00 400.00 500.00 1 5 0 . 0 0 1000.00

2000.00 3000.00 4000.00 5000.00 6000.00

1 .0284E 00 1 . 0 1 8 4 1 00 1.02841 00 1.0217E 00 1.02841 00 1 . 0 2 3 4 1 00 1.0285E 00 1 . 0 2 5 1 E 00 1.0285E 00 1.0260E 00

I . 0 3 5 0 E 00 1.0189E 00 1.0350E 00 1.0243E 00 1.03511 00 1 . 0 2 7 0 1 00 1.03511 00 1.0297E 00 1.0351E 00 1.0311E 00

1 . 0 2 8 5 1 00 1.0268E 00 1.0285E 00 1.0212E 00 1 .028SE 00 1 . 0 2 1 5 E 00 1 . 0 2 8 5 1 00 1 . 0 2 7 8 1 00 1.02851 00 1 . 0 2 8 0 E 00

1.0285E 00 1.02821 00 I .028SE 00 1.0283E 00 1 . 0 2 8 5 E 00 I . 0 2 8 4 E 00 1 . 0 2 8 5 E 00 1 . 0 2 8 4 E 00 1 .0285E 00 1 .0284E 00

1.0311E 00 1 .0290E 00 1 .0311E 00 1 .0295E 00 1.0311E 00 1 .0299E 00 1.0311E 00 1.0303E 00 1.0311E 00 1 - 0 3 0 5 E 00

1.0351E 00 1.0324E 00 1.0351E 00 1.0331E 00 1.0352E 00 1 . 0 3 3 5 1 00 1.0352E 00 1.0341E 00 1.0352E 00 1 .0344E 00

1.0254E 00 1 .0252E 00 1.0254E 00 1.02532 00 1.0254E 00 1.0253E 00 I r O 2 5 4 E 00 1.0254E 00 L.OZ54E 00 1.0254E 00

1.0254E 00 1 .0254E 00

1.0311E 00 l . 0 3 0 8 E 00 1 .0311E 00 1.0309E 00 1.0311E 00 1.0309E 00 1.0311E 00 1.03LOE 00 1.03111 00 1.0310E 00

1.0311E 00 1.0310E 00

1.0352E 00 1 . 0 3 4 8 8 00 1.03528 00 1.0349E 00 1.0352E 00 1.0350E 00 1.0352E 00 I.0350E 00 1.0352E 00 I . 0 3 5 0 E 00

1.0352E 00 1.0351E 00 7 0 0 0 . 0 0 1.02851 00 1.02841 00 80C0.00 9 0 0 0 . 0 0

10000.00

1.0254E 00 1.02541 00 1.0254E 00 1.0254E 00 1.0254E 00 1.0254E 00

1.0285E 00 1.0284E 00 1.OZ85E 00 1.0284E 00 I . 0 2 8 5 E 00 1.028SE 00

1.0311E 00 1.0310E 00 1.0311E 00 1.0310E 00 1.0311E 00 1.0310E 00

1.0352E 00 1.0351E 00 1.03521 00 1 + 0 3 5 1 E 00 1 . 0 3 5 2 1 00 1.0351E 00

I N F 1.0254E 00 1 . 0 2 5 4 E 00 1.0215E 00 1.0285E 00 1.0352E 00 1.0352E 00

37

I 1 I l l 1 1 1 1 1 1 1 1 111.111" II I I I , I , 111.11.111. , . . . . . . -. .. . -

TAU = 1.500 TAU = 2.000

X Y 1.0017E 00 4.5000E-05 1 . 0 0 5 9 E 00 2.3489E-04 1 .0096E 00 4.9675E-04 1 .0147E 00 1.1740E-03 1 .0184E 00 3 .2515E-03

TAU = 2 . 5 0 0

X Y 1.0017E 00 2.9048E-05 1.0059E 00 1 .5092E-04 1.0096E 00 3 .1710E-04 1.0147E 00 7 . 1 1 1 7 E - 0 4 1.0184E 00 1 . 4 5 3 2 E - 0 3

OnEG4 = 0 .10 TAU = 1 .000

z 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75 .00

l C O . O O 150.00 200.00

300.00 400.00 500.00 7 5 0 . 0 0

1000.00

2000.00 3000.00 4000.00 50C0.00 6 0 0 0 . 0 0

7 0 0 0 . 0 0 8 O C O . O O 90C0.00

1OOCO. 00 I N F

1.0017E 00 7 .397OE-05 1 .0059E 00 3.8845E-04 1.0096E 00 8 . 2 9 4 1 E - 0 4 1.0147E 00 2 . 4 8 8 9 E - 0 3 1.0184E 00 1 . 0 1 8 4 E - 0 2

1 .0213E 00 2.8BOZE-02 1.0236E 00 5 . 7 0 5 4 8 - 0 2 1.0254E 00 9 .1333E-02 1.0283E 00 1 . 6 6 2 8 E - 0 1 1 .0304E 00 2 . 3 9 2 1 E - 0 1

1.0338E 00 3 . 8 9 8 1 E - 0 1 1.0358E 00 4 . 9 8 1 8 E - 0 1 1 . 0 3 R O E 00 6 . 3 7 0 8 E - 0 1

1.021OE 00 9 . 1 1 2 5 E - 0 2 1.0231E 00 1 . 4 6 8 6 E - 0 1 1 .0247E 00 2 . 0 2 6 1 E - 0 1

1 . 0 2 1 3 E 00 9.8390E-03 1 .0237E 00 2 . 2 7 6 8 E - 0 2 1 . 0 2 5 6 E 00 4 .1619E-02 1 . 0 2 8 7 1 00 9 . 1 1 3 7 E - 0 2 1 . 0 3 1 0 E 00 1.4736E-01

1.0347E 00 2.818OE-01 1 .0370E 00 3 . 9 0 5 9 1 - 0 1 1 .0397E 00 5.4200E-01

1.0213E 00 3 . 8 1 9 7 E - 0 3 1.0237E 00 9 . 4 9 6 4 E - 0 3 1.0257E 00 1 . 9 3 0 0 E - 0 2 1 . 0 2 8 8 1 00 5 . 0 1 2 5 E - 0 2 1 .0312E 00 9 .0810E-02

1.0352E 00 2 . 0 3 4 8 E - 0 1 1.0377E 00 3 . 0 5 8 2 E - 0 1 1.0406E 00 4 . 6 0 5 0 E - 0 1 1.0422E 00 5 . 6 5 4 0 E - 0 1 1.0433E 00 6 . 3 9 5 7 E - 0 1

i;OZizE 00 J.03aiE-oi 1.0289E 00 3 . 8 1 9 8 8 - 0 1

1.0315E 00 5 .3810E-01 1 .0330E 00 6 .3398E-01 1 .03468 00 7 . 4 7 1 3 E - 0 1 1.0354E 00 8 . 1 1 1 3 E - 0 1 1.0360E 00 8 . 5 2 1 6 E - 0 1

1 .0367E 00 9 . 1 0 1 3 E - 0 1 1 .0371E 00 9 . 4 0 5 9 E - 0 1 1 .0375E 00 9 .7207E-01 1.0377E 00 9 . 8 8 2 1 E - 0 1 1.0379E 00 1.0046E 00

l .038OE 00 1 .0179E 00 1 .0381E 00 I . 0 2 4 7 E 00 1.0381E 00 1.0281E 00 1.0382E 00 1 .0314E 00 1.0382E 00 1.0331E 00

1.0382E 00 1 .0348E 00 1 .0382E 00 1 .0357E 00 1 .0382E 00 1 .0362E 00 1.0382E 00 1.0369E 00 1.0383E 00 1.0372E 00

-.....~ ~. ... .~. ~. 1.0392E 00 7 . 2 0 5 8 E - 0 1 1 . 0 4 1 2 E 00 6 .3869E-01

1 .0421E 00 7 .0488E-01

1.0434E 00 8.04OOE-01

1.0400E 00 1 . 7 5 8 9 1 - 0 1

1.0411E 00 8 . 5 6 3 5 8 - 0 1 1.0416E 00 8 . 9 9 6 8 8 - 0 1 1 .0422E 00 9 . 4 5 2 1 E - 0 1 1 .0425E 00 9 . 6 8 8 5 E - 0 1 1 .0428E 00 9 . 9 3 0 7 E - 0 1

1.0430E 00 1 .0129E 00 1 .0431E 00 l.OZ3OE 00

1.0448E 00 7 . 5 3 9 5 E - 0 1 1.0456E 00 8 . 1 8 6 5 E - 0 1 1.0465E 00 8 . 8 8 9 4 E - 0 1 1.0469E 00 9 . 2 6 3 2 E - 0 1

1.0441E 00 8 . 5 8 7 1 E - 0 1 1 .0449E 00 9 . 1 7 1 6 8 - 0 1 1 . 0 4 5 2 E 00 9 . 4 7 8 7 E - 0 1 1 .0456E 00 9 . 7 9 6 2 E - 0 1 1.0473E 00 9 . 6 5 2 9 E - 0 1

1 .0459E 00 1.0058E 00 1.0477E 00 9 . 9 7 6 5 E - 0 1 1.0461; 00 i . 0 1 9 1 E 00 1 .0461E 00 1.0259E 00 1 .0462E 00 1 .0327E 00 1.0462E 00 1 .0361E 00

1.0479E 00 1.0142E 00 1.048OE 00 1.0226E 00 1.0481E 00 1 .0311E 00

1.0432E 0 0 1.028OE 00 1 . 0 4 3 2 E 00 1 .0331E 00 1.0433E 00 1 . 0 3 5 7 E 00

1 .0433E 00 1 .0382E 00 1.0433E 00 1 .0395E 00

1 . 0 4 6 3 E 00 1.0395E 00 1 . 0 4 6 3 E 00 l . 0 4 1 2 E 00

1.0482E 00 1 .0396E 00 1.0482E 00 1.0418E 00

1.0433E 00 1 .0403E 00 1.0433E 00 1 . 0 4 1 3 E 00 1.0434E 00 1.0418E 00

1 .0434E 00 1.0426E 00 1 .0434E 00 I . 0 4 2 9 E 00 1 .0434E 00 1 .0430E 00 1.0434E 00 1.0431E 00 1.0434E 00 1.0431E 00

1 .0434E 00 1.0431E 00 1 . 0 4 3 4 E 00 1.0432E 00 1 . 0 4 3 4 E 00 1.0432E 00

1 .0463E 00 l . 0 4 2 2 E 00 1 .0463E 00 1.0436E 00 1.0463E 00 1 .0443E 00

1.0482E 00 1 .0431E 00 l.0482E 00 1.0448E 00 1.0482E 00 1 . 0 4 5 7 f 00

1.0482E 00 1 .04698 OC 1.0482E 00 1 .0474E 0 0 1.0482E 00 1.0476E 00 1.0482E 00 1 . 0 4 7 7 E 00 1.0482E 00 1 .0478E 00

l . 0 4 8 2 E 00 1 .0479E 00 1.0482E 00 1.0479E 00 1.0482E 00 1 .0480E 00 1.0482E 00 1 .0480E 00 1.0482E 00 l . 0 4 8 2 E 00

1.0383E 00 1 .0378E 00 1 .0383E 00 1 .0379E 00 1 .0383E 00 1 .0380E 00 1 . 0 3 8 3 E 00 1.0381E 00 1.0383E 00 1 .0381E 00

1.0464E 00 1 .0453E 00 1.0464E 00 1 .0s57E 00 1 .0464E 00 1 .0458E 00 1 .0464E 00 1 .0459E 0 0 1 .0464E 00 1.0460E 00

1.0464E 00 l . 0 4 6 l E 00 1 .0464E 00 1 . 0 4 6 l E 00 1.0464E 00 1 .0461E 00 1 1 0 4 6 4 E 00 1 .0462E 00 1 .0464E 00 1 .0464E 00

1.0434E 00 1.0432E 00 1 .0434E 00 1.0434E 00

TAU = 3.000

X Y 1.0017E 00 1 . 9 6 5 4 E - 0 5

T A U = 3 .500

X Y 1.0017E 00 1 . 3 8 4 3 E - 0 5 1 .0059E 00 7 .1448E-05 1 .0096E 00 1 .4869E-04 1 .0147E 00 3 . 2 3 8 4 E - 0 4 1.0184E 00 5 . 4 4 6 8 E - 0 4

1 .0213E 00 9 . 6 4 7 6 E - 0 4 1 .0237E 00 2 . 0 7 3 8 E - 0 3 1 .0257E 00 4 . 5 5 1 1 E - 0 3 1 .0289E 00 1 . 5 4 5 3 E - 0 2 1 .0313E 00 3 . 4 6 3 7 E - 0 2

1 .0355E 00 1 . 0 5 9 2 E - 0 1 1 .0382E 00 1 . 8 7 0 8 E - 0 1 1 . 0 4 1 4 E 00 3 . 3 1 7 0 E - 0 1 1.0433E 00 4 . 4 2 1 5 E - 0 1 1 . 0 4 4 5 E 00 5 . 2 5 5 1 E - 0 1

T A U =

X 1.0017E 00 1 .0059E 00 1 .0096E 00 1 .0147E 00 1.0184E 00

4.000

Y 1 .0099E-05 5 .1975E-05 1 .0776E-04 2 .32578-04 3 . 8 1 9 5 E - 0 4

TAU = 4 .500

X Y 1.0017E 00 7 . 5 9 6 9 E - 0 6 1.0059E 00 3 . 9 0 0 3 E - 0 5 1.0096E 00 8 . 0 5 9 8 E - 0 5 1.0147E 00 1 . 1 2 6 2 E - 0 4 1.0184E 00 2 .7976E-04

z 0.01 0.05 0.10 0.20 0 . 3 0

1.0059E 00 1 . 0 1 7 5 E - 0 4 1 .0096E 00 2 .1268E-04 1 .0147E 00 4 .684AF-04

0.40 0.50

1.C213E 00 1 . 7 5 9 0 E - 0 3 1 .0237E 00 4 .2370E-03 1 .0257E 00 9 . 1 9 1 5 E - 0 3 1 .0288E 00 2 . 7 7 1 9 E - 0 2 1 .0313E 00 5 . 6 0 2 6 E - 0 2

1 .0354E 00 1 . 4 6 8 3 E - 0 1 1 .0380E 00 2 . 3 9 2 5 E - 0 1 1.0411E 00 3 . 9 0 9 4 E - 0 1 1.0429E 00 5 . 0 0 1 2 E - 0 1 1.044OE 00 5 . 7 9 8 9 E - 0 1

1 .0213E 00 1.0237E 00 1 .0257E 00 1.0289E 00 1 .0313E 00

1 .0355E 00 1 .0383E 00 1 . 0 4 1 6 E 00

6.0795E-04 1 .1332E-03 2 . 3 7 7 8 E - 0 3 8 .7132E-03 2 .1479E-02

1.0213E 00 4 . 2 0 6 0 E - 0 4 1.0237E 00 6 . 9 1 9 6 E - 0 4 1.0257E 00 1 . 3 3 0 4 E - 0 3 1.0289E 00 4 . 9 9 1 9 E - 0 3 1.0313E 00 1 . 3 3 7 7 E - 0 2

0 .60 0.80 1.00

1 . 5 0 2.00 3.00

7 . 6 4 l O E - 0 2 1 . 4 6 2 3 E - 0 1 2.8 1 3 4 E - 0 1

4.00 5.00

1.50

1.0435E 00 1 .0448E 00

1 .0466E 00

3 .9077E-01 4 . 7 6 0 9 E - 0 1

6 . 1 9 7 0 E - 0 1 1.0457E 00 7 . 0 6 5 3 E - 0 1 1.0463E 00 6 . 6 1 7 9 E - 0 1 1.0469E 00 5 . 8 0 1 7 E - 0 1 10.00 15.00 2 0 . 0 0

1 .0466E 00 7 . 7 9 9 4 E - 0 1 1.0475E O C 8 . 6 l O Z E - 0 1 1 .0480E 00 9 . 0 4 6 8 E - 0 1

1 .0472E 00 7 . 4 2 7 3 E - 0 1 1 .0482E 00 8 . 3 3 6 3 E - 0 1 1 .0487E 00 8 . 8 3 1 9 E - 0 1

1 . 0 4 7 6 E 00 1 . 0 4 8 7 8 00 1 .0492E 00

7 . 0 7 1 1 E - 0 1 8 . 0 6 9 1 E - 0 1 8 . 6 1 9 9 E - 0 1

1.0479E 00 6 . 7 3 0 7 E - 0 1 1.0490E 00 7 . 8 0 9 0 E - 0 1 1.0496E 00 8 . 4 1 1 6 E - 0 1

30.00

50.00

1.04d5E 00 9 . 5 0 5 7 E - 0 1

1.0489E 00 9 .8896E-01

1 .0493E 00 9 . 3 5 7 1 E - 0 1

1.0497E 00 9 . 7 9 9 8 E - 0 1

1 . 0 4 9 8 8 00

1 .0503E 00 1 .0505E 00

9 . 2 0 8 6 E - 0 1

9 . 7 0 8 4 E - 0 1 9 .9684E-01

1 . 0 5 0 2 E 00 9 . 0 6 0 9 E - O i

1.0507E 00 9 . 6 1 6 3 E - 0 1 1.0509E 00 9 . 9 0 6 7 E - 0 1 i . 0 4 9 1 E 00 1.0087E 00

1.0492E 00 l . O t 8 8 E 00 1 .0493E 00 1 .0289E 00 1.0493E 00 1.034OE 00

1 .0499E 00 1 .0029E 00 1 .0500E 00 1.0145E 00 1 .0501E 00 1 .0263E 00 1 .0502E 00 1 .0323E 00

1 .0506E 00 1.0507E 00 1.0508E 00

1.0508E 00 1 .0509E 00 1.0509E 00 1 .0509E 00 1 .0509E 00

1 .0509E 00 1 .0510E 00 1 .0510E 00 1 .0510E 00 1 .0510E 00

1 .0101E 00 1 .0235E 00 1.0303E 00

1.0510E 00 1.0055E 00 1.0512E 00 1 .0206E 00 1.0512E 00 1 .0282E 00

1.0513E 00 1.0359E 00 1.0513E 00 1.0398E 00 1.0513E 00 1.0421E 00 1 . 0 5 1 4 E 00 1.0452E 00 1.0514E 00 1 . 0 4 6 7 E 00

1.0514E 00 1.0491E 00 L.0514E 00 1.0499E 0 0 1.0514E 00 1 . 0 5 0 2 E 00

3C0.00 400.00 5 0 0 . 0 0 750.00

1 0 0 0 . 0 0

2000.00 30CO.00 4000.00 5 0 0 0 . 0 0 6 0 0 0 . 0 0

1 .0494E 00 1 .0391E 00 1 .0494E 00 1 . 0 4 1 7 E 00 1 .0494E 00 1.0433E 00 1.0494E 00 1 . 0 4 5 3 E 00 1 .0495E 00 1 .0464E 00

1 .0495E 00 1 .0419E 00 1.0495E 00 1.0484E 00 1 . 0 4 9 5 E 00 1 .0487E 00 1.0495E 00 1 . 0 4 8 9 E 00 1 .0495E 00 1 .0490E 00

1 .0495E 00 1 .0490E 00 1 .0495E 00 1 . 0 4 9 1 E 00 I . 0 4 9 5 E 00 1 . 0 4 9 1 F 00

1.0502E 00 1 .0383E 00 1.0503E 00 1 .0413E 00 1.0503E 00 1.0431E 00 1.0503E 00 1 .0455E 00 1 .0503E 00 1 . 0 4 6 7 E 00

1 .0503E 00 1.0485E 00 1 . 0 5 0 3 E 00 1 .0491E 00 1 . 0 5 0 3 E 00 1 .0494E 00 1 . 0 5 0 3 E 00 1 .0496E 00 1 .0503E 00 1 .0497E 00

1.0372E 00 1.0406E 00 1.0427E 00 1 .0454E 00 1 .0468E 00

1 .0489E 00 1 . 0 4 9 6 E 00 1 .0499E 00 1 .0501E 00 1 .0503E 00

1.0504E 00

1.0514E 00 I . 0 5 0 5 E O C 1.0514E 00 1 . 0 5 0 6 E 00

1.0514E 00 1.0508E 00 1 .0503E 00 1 .0498E 00 1 + 0 5 1 0 E 00 1 .0503E 00 1 .0499E 00 1 . 0 5 1 0 E 00 1.0503E 00 1 .0499E 00 1 .0510E 00 1.0503E 00 1 .0500E 00 1 .0510E 00

1 . 0 5 0 4 E 00 1.0505E 00 I . 0 5 0 5 E 00

1.0514E 00 1.0508E O C 1.0514E 00 1 .0509E 00 1.0514E 00 I . 0 5 1 0 E 00 i i 0 4 9 5 i 00 i . 0 4 9 i i 00

1.0495E 00 1 .0495E 00 I N F 1.0503E 00 1 .0503E 00 1.0510E 00 1 . 0 5 1 0 E 00 1.0514E 00 1 . 0 5 1 4 E 00

OMEGA = 0.10 TAU = 5.000 74U = 7 .500 T4U = 10.00 T4U = 15.00

L 0.01 0.05 0.10 0.20 0.30

X 'I 1.0017E 00 5 . 8 7 1 6 E - 0 6 1.0059E 00 3.00811-05 1.0096E 00 6 .19841-05 1 .0147E 00 1 . 3 1 8 8 E - 0 4

1-04

1.0213E 00 3.08961-04 1.0237E 00 4 .6481E-04 1 .0257E 00 8 .05011-04 1.0289E 00 2.9225E-03 1 .0313E 00 8 . 3 7 9 7 E - 0 3

1 .0356E 00 3.9793E-02

X Y 1 . 0 0 1 7 1 00 4 . 4 4 6 1 1 - 0 7 1.0059E 00 2 . 2 4 6 3 E - 0 6 1 . 0 0 9 6 1 00 4 1 5 4 3 1 1 - 0 6

0 5

1.00171 00 2 . 1 8 9 7 1 - 0 6 1.0059E 00 1 . 1 1 3 8 E - 0 5 1 .0096E 00 2.2733E-05 1 . 0 1 4 7 E 00 4 . 7 3 3 5 1 - 0 5 1 .0184E 00 7 . 4 0 2 9 E - 0 5

1 .0017E 00 1 . l l 4 7 E - 0 6 1.00591 00 5 . 6 4 9 5 1 - 0 6 1 .0096E 00 3 .14761-05 1 .0147E 00 2 . 3 6 4 8 E - 0 5 1 . 0 1 8 4 E 00 3.6546E-05

0.40 0.50 0 .60 0.80 1-00

1.50 2.00 3.00 4.00 5.00

1.02131 00 1 . 0 3 2 2 E - 0 4 1 . 0 2 3 7 1 00 1.3585E-04 1 . 0 2 5 7 1 00 1 . 7 5 9 1 E - 0 4 1.0289E 00 3 . 5 2 1 0 E - 0 4 1 .0313E 00 9 . 6 7 6 3 1 - 0 4

1 .0356E 00 7 .91091-03

1.02131 00 5.0245E-05 1 .0237E 00 6 . 4 8 6 0 1 - 0 5 1.0257E 00 8.0613E-05 1 .0289E 00 1.2026E-04 1 .0313E 00 2 .08771-04

1 . 0 3 5 6 E 00 1.6133E-03

1.0213E 00 1 . 9 2 9 4 E - 0 5 1.0237E 00 2 . 4 5 9 5 E - 0 5 1 . 0 2 5 7 E 00 3 . 0 1 0 8 E - 0 5 1.0289E 00 4.1859E-05 1.0313E 00 5 . 5 0 9 0 E - 0 5

1.03561 00 1 . 4 3 7 3 E - 0 4 1.0383E 00 8.9300E-02 1.0418E 00 2.02261-01 1 .0438E 00 3 .0503E-01 1.0451E 00 3.9051E-01

1 . 0 3 8 4 1 00 2 . 6 0 6 7 1 - 0 2 1 . 0 4 1 9 1 00 8 . 8 4 9 3 1 - 0 2 1.04401 00 1 . 6 3 9 3 1 - 0 1

110384E 00 7 . 6 8 3 5 1 - 0 3 1.0419E 00 3 . 8 7 2 l E - 0 2 1.0440E 00 8 . 8 0 3 9 1 - 0 2

1.03841 00 7 . 4 2 7 2 1 - 0 4 1 .0419E 00 7 . 4 1 0 9 8 - 0 3 1.0441E 00 2 . 5 4 1 4 E - 0 2 1.0455E 00 5 . 3 3 3 l E - 0 2 1 . 0 4 5 4 1 00 2 . 3 7 5 6 1 - 0 1

7 .50 10.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 200.00

300.00 400.00 500.00 7 5 0 . 0 0

1 0 C O . 00

2000.00 3000.00 4000.00 5000.00 6 0 0 0 . 0 0

1 . 0 4 l l E 00 5 .4309E-01 1.0482E 00 6 . 4 0 5 8 E - 0 1 1.0493E 00 7 . 5 5 6 4 E - 0 1

1 . 0 4 7 5 1 00 3 . 8 9 9 2 E - 0 1 1 .0487E 00 4 1 9 9 7 0 8 - 0 1 1.04991 00 6 . 4 0 4 9 1 - 0 1 1 .0506E 00 7 . 2 5 1 7 E - 0 1 1 .0513E 00 8.21081-01

1.0510E 00 9 . 0 6 8 8 E - 0 1 1 .0521E 00 9 . 5 3 0 9 E - 0 1 1.0523E 00 9 . 7 7 0 7 E - 0 1 1 . 0 5 2 4 1 00 1 . 0 0 1 7 1 00 1.0525E 00 1.01421 00

1.0476E 00 2 J 9 7 3 E - 0 1 1.0489E 00 3.8952E-01 1 . 0 5 0 2 1 00 5 . 4 2 5 4 1 - 0 1 1 .0508E 00 6 . 4 0 3 4 1 - 0 1 I e O 5 1 6 E 00 7 . 5 5 8 2 1 - 0 1

1.0471E 00 1 . 4 3 8 7 1 - 0 1 1.0490E 00 2 . 3 6 5 4 E - 0 1 I . 0 5 0 3 E 00 3 . 8 9 0 5 1 - 0 1 1.0511E 00 4 . 9 9 0 2 E - 0 1 1.0518E 00 6 . 4 0 1 2 1 - 0 1

1.0499E 00 8 . 2 0 7 4 1 - 0 1 1 . 0 5 0 5 1 00 0 . 9 1 4 6 1 - 0 1

L.0510E 00 9 .5241E-01 L .0513E 00 9 . 8 4 4 4 1 - 0 1 1.0514E 00 1.0009E 00 1.0515E 00 1.OL75E 00 1 . 0 5 1 6 1 00 1.026OE 00

L . 0 5 2 2 E 00 8 . 6 3 0 5 E - 0 1 1 .0525E 00 9 . 2 2 2 4 1 - 0 1 1 .0526E 00 9.5335E-01 1.0528E 00 9 . 8 5 5 1 E - 0 1 1 . 0 5 2 9 E 00 I.0020E 00

1.0526E 00 1.0269E 00 1 . 0 5 2 6 1 00 1.03331 00 1.0526E 00 1 .0371E 00 1.0527E 00 L .0423E 00 1 .0527E 00 1.0449E 00

1 . 0 5 2 7 E 00 1 . 0 4 8 8 E 00 1 . 0 5 2 7 E 00 1 .0501E 00 1 . 0 5 2 7 E 00 1 . 0 5 0 8 E 00 1.0527E 00 1 .05111 00 1.0527E 00 1 .0514E 00

1 . 0 5 3 1 E 00 1.0419E 00 1 . 0 5 3 1 E 00 L.0496E 00 1 .053LE 00 1 .0505E 00 1 .0531E 00 1 . 0 5 1 0 E 00 1 . 0 5 3 1 E 00 1.0514E 00

1.0535E 00 1 .0456E 00 1.0535E 00 1 . 0 4 8 3 E 00 1.0535E 00 1 .0496E 00 1.0535E 00 1 . 0 5 0 3 E 00 1.0535E 00 I . 0 5 0 9 E OC

7 0 0 0 . 0 0 1 . 0 5 1 8 E 00 1 .0510E 00 1 .0527E 00 1 . 0 5 1 6 E 00 1 . 0 5 2 7 E 00 1 .0517E 00 1 .0521E 00 1 .0518E 00 1 . 0 5 2 7 E 00 1 . 0 5 1 9 E 00 1.0527E 00 L .0527E 00

1 .0531E 00 1 . 0 5 1 6 1 00 1.0531E 00 I . O S I 0 E 00 1 .0531E 00 1.052OE 00 1.0531E 00 1 . 0 5 2 1 E 00

1 . 0 5 3 5 E 00 1 . 0 5 1 2 E 00 1.0535E 00 1 .0515E 00 1.0535E 00 1 . 0 5 1 7 E 00 1.0535E 00 1 . 0 5 1 9 E 00 1.05358 00 L.0535E 00

noco.oo 9000.00 10000.00

1.0518E 00 1.0511E 00 1.0518E 00 1.0512E 00 1 . 0 5 1 8 E 00 1 . 0 5 1 2 E 00

I N F 1.0518E 00 1 . 0 5 1 E E 00

I 0.01

T A U i

x

2 0 . 0 0

I 2 - 3 6 9 5 1 - 0 7

TAU =

X 1.0017E 00

25.00

Y 1 . 4 4 2 9 8 - 0 1 7 . 2 6 2 7 E - 0 7 1 .4644E-Ob 2 . 9 7 0 3 E - 0 6 4 . 5 1 2 9 E - 0 6

6 .0908E-Ob

T4U =

X 1.00llE 00 1 .0059E 00 1 .0096E 00 1 . 0 1 4 l E 00 1.0184E 00

L.0213E 00

30.00

Y 9 . 6 9 4 7 E - 0 8 4 . 8 8 2 2 E - 0 7 9.8352 E-07 1 . 9 9 1 7 E - 0 6 3 . 0 2 1 0 E - 0 6

4 . 0 1 0 4 E - 0 6 5 .1393E-06 6.22 19E-06 8 .4648E-06 L . 0 7 8 5 E - 0 5

TAU =

X 1.0017E 00 1 . 0 0 5 9 E 00 1.0096E 00 I . 0 1 4 7 E 00 1.0184E 00

1 . 0 2 1 3 E 00

40.00

Y 5 . 2 8 0 5 E - 0 8 2 . 6 6 3 1 E - 0 1 5 . 3 5 1 b E - 0 7 1 . 0 8 2 4 E - 0 6 1 . 6 3 8 0 E - 0 6

2 . 2 0 1 8 E - 0 6

0.05 0.10 0.20 0.30

1 . 0 0 5 9 E 00 1 .0096E 00 1.OL47E 00 1 .0184E 00

0.40 0.50 0 .60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7 .50 10.00 15.00 20.00 30.00

1.0213E 00 1 . 0 2 3 7 E 00 1.0251E 00 1.0289E 00 1 . 0 3 1 3 E 00

1 .0021E-05

1 . 5 4 8 4 E - 0 5 2 . 1 2 6 1 E - 0 5 2 .73PBE-05

I . Z ~ I ~ E - O ~ 1 .0213E 00 1 .0237E 00 1 .0257E 00 1 .0289E 00 1.03L3E 00

1 . 0 3 5 6 E 00 1.0384E 00 1 . 0 4 1 9 E 00 1 . 0 4 4 1 E 00 1 .0455E 00

1.0237E 00 1.0257E 00 1.0289E 00 1.0313E 00

2 . 7 7 3 4 E - 0 6 3 . 3 5 2 6 E - 0 6 4 . 5 3 3 6 E - 0 6 5 . 1 4 5 3 E - 0 6

4 . 6 5 2 6 6 - 0 5 1 . 1 5 3 4 E - 0 4 1 . 4 8 6 1 E - 0 3 7 .3713E-03 1. P 7 2 3 E - 0 2

7 . 3 9 8 6 E - 0 2 1 . 4 3 6 0 E - 0 1 2 . 7 8 9 L E - 0 1 3 . 8 8 7 9 E - 0 1 5 . 4 2 O I E - 0 1

2 . 6 1 1 3 E - 0 5 4 . 1 3 4 4 E - 0 5 3 . 2 4 3 1 E - 0 4 2 . 1 6 4 0 E - 0 3 7 . 3 1 3 9 E - 0 3

3 . 8 0 5 4 E - 0 2 8 . 1 1 7 0 E - 0 2 I e 9 9 9 3 E - 0 1 3 .0287E-0 1 4 . 5 8 8 9 E - 0 1

1.0356E 00 1 .0384E 00 1 . 0 4 1 9 E 00 1 .044LE 00 1 . 0 4 5 5 E 00

1 .0477E 00 1 .0490E 00 1.0504E 00 1.0512E 00 l . O S 2 O E 00

1.6991E-05 2.4231E-05 8 . 9 6 1 2 E - 0 5 6 . 5 3 7 4 E - 0 4 2 . 7 2 8 4 E - 0 3

1 .9582E-02 5 . 2 9 1 9 E - 0 2 1 . 4 3 3 1 E - 0 1 2 . 3 5 9 3 E - 0 1 3 . 8 8 5 0 ~ - 0 1

5 .7905E-0 I 7 . 0 6 9 6 E - 0 1 1 . 8 1 1 5 E - 0 1 8 . 6 3 1 3 E - 0 1 9 . 0 7 2 9 E - 0 1

9 .5372E-01 9.7782 E-0 1 9 . 9 2 5 7 E - 0 1 1 . 0 1 2 6 E 00 1 . 0 2 2 7 E 00

1.035bE 00 1.0384E 00 1.0419E 00 1.0441E 00 1.0455E 00

1.0477E 00 1 . 0 4 9 0 E 00 1.0504E 00 1.0512E 00 1.052OE 00

8 . 9 1 6 2 E - 0 6 1 . 2 3 1 6 E - 0 5 2 . 1 1 4 6 E - 0 5 7 . 1 9 6 8 E - 0 5 3 . 9 8 5 0 E - 0 4

1 .0477E 00 1.049OE 00 1 . 0 5 0 4 E 00 1 .0512E 00 1.0520E 00

1 .052bE 00 1 .0530E 00 l . 0 5 3 2 E 00 1 .0534E 00 1 .0535E 00

5 . 2 0 0 3 E - 0 3 1.95131-02 7 . 3 6 2 9 E - 0 2 1 . 4 3 1 6 E - 0 1 2 . 7 8 4 3 E - 0 1

50.00 75.00

100.00 150.00 200.00

300.00

1.0526E 00 1.05298 00 1 .0531E 00 1.0533E 00 1.0534E 00

7 . 0 7 0 8 E - 0 1 8 . 0 7 6 2 E - 0 1

1.0527E 00 1.0531E 00 L.0533E 00 L.0535E 00 1.0536E 00

1 . 0 5 3 7 1 00 1.0537E 00 1.0538E 00 1.0538E 00 1.0538E 00

4 . 7 4 1 5 E - 0 1 6 . 1 8 1 8 E - 0 1 7 . 0 6 8 8 E - 0 1 8 . 0 7 5 4 E - 0 1 8 . 6 3 1 2 E - 0 1

9 . 2 2 5 3 E - 0 1 9 . 5 3 1 5 E - 0 1 9 . 7 2 9 9 E - 0 1 9 - 9 9 2 4 1 - 0 1 1 . 0 1 2 6 E 00

1.0331E 00 I . 0 4 0 0 E 00 1 .0434E 00 1 .0455E 00 1 .0469E 00

8 . 6 3 1 4 E - 0 1 9 . 2 2 4 7 E - 0 1 9 . 5 3 6 5 E - 0 1

1.0535E 00 1.05358 00 1 .0536E 00 1 .0536E 00 1 .0536E 00

1 .0536E 00

9 . 8 5 8 9 E - 0 1 I.OO24E 00 1 .0125E 00 1 .0260E 00 1 . 0 3 2 9 E 00

1 .0432E 00 1 .0467E 00 1 . 0 4 8 4 1 00 1.0495E 00 1.0502E 00

1.0536E 00 1 . 0 5 3 6 E 00

9 . 6 9 6 9 E - 0 1 9 . 9 0 0 5 E - 0 1

1 . 0 5 3 6 8 00 1.0531E 00 1 .0537E 00 1 . 0 5 3 7 1 00 1.0538E 00

400.00 500.00 750.00

1 . 0 5 3 6 1 00 1 .0537E 00 1 .0537E 00

1 .0025E 00 1.0193E 00 1 . 0 2 7 8 E 00 1000.00

2000.00 3000.00 4000.00 5 0 0 0 . 0 0 6 0 0 0 . 0 0

1 .0537E 00 1 . 0 5 3 8 E 00 1.05381 00 1 .0538E 00 1 . 0 5 3 8 E 00 1 .0538E 00

1.05388 00

1.0382E 00 1 . 0 4 3 4 E 00 1.04601 00 1 . 0 4 7 5 1 00 1 . 0 4 8 6 1 00

1.0493E 00

1.05391 00 1.0539E 00 1.0539E 00 1 . 0 5 3 9 E 00 1.05391 00

1.05398 00

1.0536E 00 1.05361 00 1 . 0 5 3 7 8 00 1 . 0 5 3 7 1 00

i . Q 5 3 7 E 00 1.0537E 00 1 .0537E 00

1.orSoE 00 1 . 0 4 7 2 E 00 1 .0485E 00

1.05301 00 1 . 0 4 9 4 E 00

7 0 0 0 . 0 0 8OCO.OO 9000.00 10000.00

INF

L.0537E 00 1 .0537E 00 1 .0537E 00 1 .0537E 00 1 .0537E 00

1 . 0 5 0 7 1 00 1 . 0 5 1 0 1 00 1 . 0 5 1 3 E 00 1 . 0 5 1 6 E 00 1 .0537E 00

1 . 0 5 3 8 8 00 1.0538E 00 1.0538E 00 1 . 0 5 3 8 8 00 1 . 0 5 3 0 E 00

1 . 0 5 0 0 1 00 1 . 0 5 0 5 E 00 1 . 0 5 0 8 E 00 1 . 0 5 1 1 E 00 1 . 0 5 3 8 1 00

1 .0479E 00 1 .0499E 00 1.0503E 00 1.0507E 00 1.05381 00

1.0539E 00 1.0539E 00 1.05398 00

1.0486E 00 1.0492E 00 1 . 0 4 9 7 1 00

1.05391 00 1.0539E 00

39

I- -. .. .. . .

OMEGA - 0.10 TAU = 50.00 TAU = 15.00 TAU = 100.0 TAU = 200.0

z 0 . 0 1 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.OE

1 . 5 0 10.00 15.00 20.00 30.00

50.00 75.00

100.00 1 5 0 . 0 0 200.00

300.00 400.00 500.00 150.00 1000.00

2 0 0 0 . 0 0 3000.00 4000. 00 5000.00 6 0 0 0 . 0 0

1 0 0 0 . 0 0 80c0.00

l0000.00 I N F

9 0 0 0 . 0 0

X Y 1.0017E 00 1 . 7 5 6 7 1 - 0 8 1 .0059E 00 8.7219E-08 1 .0096E 00 1 . 1 5 6 0 E - 0 7 1 . 0 1 4 l E 00 3 . 5 3 9 6 1 - 0 7 1 .0184E 00 5.3419E-07

1 .0213E 00 7 . 1 5 9 9 E - 0 7 1 . 0 2 3 7 8 00 8 . 9 9 1 8 E - 0 7 1.0257E 00 1 . 0 8 3 7 E - 0 6

X i 1 - 0 0 1 7 E 00 1.0150E-08 1 .0059E 00 5.0908E-08 1 .0096E 00 1 . 0 2 3 1 8 - 0 1 1.0141E 00 2 . 0 6 l Z E - 0 7 1.0184E 00 3.1097E-01

L . 0 0 1 l E 00 1.4096E-09 1.0059E 00 6 . 1 7 7 8 E - 0 9 1.0096E 00 1 . 2 6 0 l E - 0 8 1.0147E 00 2 .5537E-08 1.0184E 00 3.8589E-08

1.0213E 00 5 . 1 7 4 7 8 - 0 8 1.0237E 00 6.5000E-08 1.0257E 00 7.8339E-08

1.0213E 00 4.1670E-07 1 .0237E 00 5.2321E-07 1 .0257E 00 6.3041E-01

1.0213E 00 1 .4301E-06 1 . 0 2 3 7 8 00 1 .7985E-06 1 .0251E 00 2 . 1 1 0 7 E - 0 6 1.0289E 00 2 . 9 2 5 l E - 0 6 i . 0 2 8 9 ~ 00 i . 4 5 6 2 ~ - 0 6

1.0313E 00 1 . 8 3 3 3 8 - 0 6

1 .0356E 00 2 . 1 9 4 8 E - 0 6

i . 0 ~ 8 9 ~ 00 8 . 4 6 i r ~ - 0 i 1.0313E 00 1.0656E-06

1 . 0 3 5 6 E 00 1.6224E-06

1.0289E 00 1.0526E-07 1.0313E 00 1.32478-07

1.0356E 00 2 .0114E-07

1 .03138 00 3 .6949E-06

1 . 0 3 5 6 8 00 5 .6812E-06 1 . 0 3 8 4 E 00 3 . 1 8 2 8 E - 0 6 1 . 0 4 1 9 E 00 5 . 8 4 1 6 8 - 0 6 1.0441E 00 8.0311E-06

1.0384E 00 2.1931E-06 1 .0419E 00 3.3154E-06 1.0441E 00 4.6150E-06

1.0384E 00 2.7268E-07 I . 0 4 1 9 E 00 4 . 1 9 5 l E - 0 7 1.0441E 00 5 . 7 3 3 4 8 - 0 7

1 .0455E 00 1 ; 0 6 8 1 E - 0 5

1 .0417E 00 6 . 5 3 6 5 E - 0 5

1.0455E 00 5.9184E-06

1 .0471E 00 1.1213E-05 1.0490E 00 6.1831E-05 1.0504E 00 1.3109E-03 1 .0512E 00 1.1589E-03 1 .0520E 00 3.1130E-02

1.0528E 00 1.4288E-01 1 .0532E 00 2 . 1 8 1 2 E - 0 1

1 .0455E 00 7 .3438E-07

1 . 0 4 l l E 00 1 . 1 1 2 0 E - 0 6 1 .0471E 00 1 .3943E-03 1 .0490E 00 1 . 2 0 5 5 1 - 0 3 1 .0490E 00 6.12OOE-04

1 .0504E 00 7 .1143E-03 1 . 0 5 1 2 E 00 2.4921E-02 1.052OE 00 8 .6163E-02

1.0490E 00 1 . 6 6 9 6 E - 0 6 1.0504E 00 4 . 5 9 8 8 E - 0 6 1 .0512E 00 5.2525E-05

. .0504E 00 3.1834E-02

. .05128 00 8 .6864E-02

..0520E 00 1 .9954E-01 1.052OE 00 l . 3 5 3 5 E - 0 3

1.0528E 00 1 .9351E-02 1.053ZE 00 1 . 3 3 3 2 E - 0 2

1 .0527E 00 3 .8824E-01 1 .0531E 00 5 .4158E-01 1 .0533E 00 6 .3966E-01 1 . 0 5 3 5 8 00 1 .5550E-01 1.0536E 00 8 . 2 1 0 7 E - 0 1

1 .0528E 00 2 . 3 5 5 3 E - 0 1 1 .0532E 00 3 . 8 8 1 1 E - 0 1 1 .05348 00 4 . 9 8 2 2 E - 0 1 1 . 0 5 3 6 1 00 6 . 3 9 5 l E - 0 1 1 . 0 5 3 7 1 00 1 . 2 4 6 5 E - 0 1

1 .0538E 00 8 . 2 1 0 4 1 - 0 1 1.0538E 00 8 . 1 3 9 5 E - 0 1 1 .0539E 00 9 . 0 1 3 1 E - 0 1 1 .0539E 00 9 . 5 3 7 9 8 - 0 1 1 . 0 5 3 9 1 0 0 9 . 7 7 9 1 E - 0 1

1 .0534E 00 3.8805E-01 1 .0536E 00 5.4142E-01 1 .0537E 00 6 .3953E-01

1.0534E 00 1 . 4 2 7 8 8 - 0 1 1.0536E 00 2 . 1 8 0 0 E - 0 1 1.0537E 00 3 . 8 1 9 3 E - 0 1

1.0531E 00 8 . 9 2 3 3 E - 0 1 1 .05388 00 9 . 3 0 2 4 E - 0 1 1 . 0 5 3 8 8 00 9.5376E-01

1.0538E 00 7.5543E-01 1 .0539E 00 8.2103E-01 1 .05398 00 8 . 6 3 0 9 E - 0 1 1 .0539E 00 9 .2255E-01 1.054OE 00 9.5380E-01

1.0538E 00 5 . 4 1 3 2 E - 0 1 1.0539E 00 6 . 3 9 4 6 E - 0 1 1.0539E 00 1 . 0 6 6 8 E - 0 1 1.054Of 00 8.0143E-01 1.0540E 00 8 . 6 3 0 8 E - 0 1

1.0539E 00 9 .8605E-01 1 . 0 5 3 9 E 00 1 .0026E 00

1 .0539E 00 1 .0280E 00 1.054OE 00 9 . 5 3 8 l E - 0 1 1.0541E 00 9 . 8 6 1 3 E - 0 1 1.0541E 0 0 1.0027E 00

1.0540E 00 1 . 0 1 5 2 E 00 1 . 0 5 4 0 8 00 1.028OE 00 1.0540E 00 1 . 0 3 4 4 E 00 1 .0540E 00 1 .0383E 00

1.0539E 00 1.0365E 00 1 . 0 5 3 9 8 00 1 .0409E 00 L.0539E 00 1 .0435E 00 i.054iE 00 i.oiieE oa

1.0541E 00 1.0195E 00

l . 0 5 4 l E 00 1.0244E 00

1 . 0 5 3 9 8 00 1.0452E 00

1.0539E 00 1 .0464E 00 1 . 0 5 3 9 8 00 1.0414E 00

1 .0540E 00 1.0409E 00

1 . 0 5 4 0 E 00 1.0428E 00 1.0540E 00 1.0391E 00 1.0540E 00 1 . 0 4 4 2 E 00 1.054OE 00 1 . 0 4 5 3 E 00 1.0540E 00 1 .0461E 00 1.0540E 00 1.054OE 00

1.0540E 00 1.0410E 00 1.054Of 00 1.0424E 00 1.054OE 00 1.0436E 00

1.0541E 00 1 .0281E 00 1.0541E 00 1.0309E 00 1.0541E 00 1.0332E 00

1 . 0 5 3 9 6 00 1.0481E 00 1.05398 00 1 .0481E 00 1 . 0 5 3 9 6 00 1 .0539E 00 1.0540E 00 1.0540E 00 1.0541E 00 1.0541E 00

TAU = 223.9

2 0.01 0.05 0.10

i . 0 0 1 l E 00 7 .6401E-10 1 .0059E 00 3 .8511E-09 1 .0096E 00 7 . 1 4 5 5 E - 0 9 1 .0147E 00 1 .5601E-08 1 .0184E 00 2 .3535E-08

0 . 2 0 0.30

1 . 0 2 1 3 8 00 3 . 1 5 3 5 E - 0 8 1 .0231E 00 3 . 9 5 9 6 E - 0 8 1 .0251E 00 4 .1703E-08 1 . 0 2 8 9 1 00 6 . 4 0 1 2 E - 0 8

0.40 0.50 0 .60 0.80 1.00

1.50

1.0313E 00 8 . 0 6 1 0 6 - 0 8

1 . 0 3 5 6 8 00 1 . 2 2 7 3 8 - 0 7 2.00 3.00 4.00 5.00

1.0384E 00 1 . 6 5 8 l E - 0 7 1 . 0 4 1 9 8 00 2 . 5 5 1 9 E - 0 7 1.0441E 00 3 . 4 8 6 9 E - 0 7 1.0455E 00 4 . 4 6 6 1 E - 0 1

7.50 10.00 15.00 20.00 30.00

1 .0417E 00 1 . 1 2 1 3 E - 0 7 1 .0490E 00 1 .0142E-06 1 .0504E 00 2 .1019E-06 1.0512E 00 1 . 1 2 8 1 E - 0 5 1 .0520E 00 6 . 1 1 7 9 E - 0 4

1 .0528E 0 0 1.1999E-02 1 .0532E 00 5 .332OE-02 1 .0534E 00 1 . 1 2 4 2 E - 0 1 1 . 0 5 3 6 8 00 2 . 3 1 0 5 E - 0 1 1 . 0 5 3 7 8 00 3 . 4 4 2 3 E - 0 1

1 .0538E 00 4 . 9 9 8 l E - 0 1 1 . 0 5 3 9 8 00 6 . 0 2 3 6 E - 0 1 1 .0539F 00 6.73h9E-01

50.00 1 5 . t 0

1 0 0 . 0 0 1 5 0 . 0 0 200.00

300.00 400.00 5 0 0 . 0 0 7 5 0 . 0 0 i;oiioE 00 iiGiiE-oi

1.0540E 00 8 . 4 2 6 9 E - 0 1

1 . 0 5 4 0 8 00 9 . 4 2 4 8 E - 0 1

1 0 0 0 . 0 0

2000.00 30C0.00 4000.00 5000.00 6000.00

1 . 0 5 4 1 8 00 9 . 7 8 3 1 E - 0 1 1 .0541E 00 9 .9672E-01 1 .0541E 00 1 .0019E 00 1.0541E 00 1 .0155E 00

1 0 0 0 . 0 0 80c0.00 9000.00 10000.00

I N F

1 . 0 5 4 1 2 00 1 .0209E 00 1.0541E 00 1 . 0 2 5 0 E 00 1.0541E 00 1 .0282E 00 1 .0541E 00 1 .0308E 00 1 . 0 5 4 1 8 00 1 .0541E 00

40

TAU = 0.100 TAU - 0.200 I A U = 0.300 OMEGA = 0.20

TAU - 0.050

L 0.01 0.05 0 .10 0.20 0.30

X I 1.0034E 00 1.6084E-03 1.0110E 00 1 . 4 3 5 8 E - 0 1 1 .0150E 00 3.8Ob4E-01 1 .0179E 00 6 . 2 3 0 4 E - 0 1 1 .0191E 00 7 . 3 4 6 1 E - 0 1

X Y 1.0034E 00 8 . 5 9 4 9 E - 0 4 1.012OE 00 7 . 3 1 4 9 8 - 0 3 1.0191E 00 6.0379E-02 1.0272E 00 2.4281E-01 1.0315E 00 3 . 9 3 1 6 E - 0 1

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

1.0126E 00 8 .9491E-01 1.0127E 00 9 . 1 7 4 2 1 - 0 1 1 .0128E 00 9 . 3 2 7 5 8 - 0 1 1.0130E 00 9 . 5 2 2 6 1 - 0 1 1.0130E 00 9 . 6 4 1 1 1 - 0 1

1 .0197E 00 7 . 9 1 1 4 E - 0 1 1 . 0 2 0 1 E 00 8.3821E-01 l .OZO6E 00 8.6633E-01 1.0201E 00 9 . 0 2 8 2 1 - 0 1 1 .0209E 00 9 . 2 5 4 5 E - 0 1

1 .0212E 00 9 . 5 6 5 2 E - 0 1 1.0214E 00 9 . 7 2 4 k E - 0 1 1 .0215E 00 9 . 8 8 6 3 E - 0 1 1 . O Z l b E 00 9 . 9 6 8 3 E - 0 1 1 .0217E 00 1.0018E 00

1.0287E 00 6 . 3 2 6 l E - 0 1 1 .0298E 00 6 . 9 7 8 9 1 - 0 1 1.0305E 00 7.4516E-01 1.0315E 00 8.0883E-01 1.0321E 00 8 . 4 9 6 5 E - 0 1

1 .0330E 00 9.0731E-01 1.0334E 00 9.3761E-01 1 .0339E 00 9.6893E-01 1 .0341E 00 9 . 8 4 9 8 6 - 0 1 1 .03k2E 00 9 . 9 4 7 4 E - 0 1

1 . 0 3 k l E 00 5.012bE-01 1.0358E 00 5.802OE-01 1.0371E 00 6 . 3 9 1 4 E - 0 1 1.0388E 00 7 . 2 2 9 7 E - 0 1 1.0398E 00 7 . 1 8 0 9 E - 0 1

1.0413E 00 8 . 5 8 Z l E - 0 1 l . O k 2 1 E 00 9 . 0 1 4 4 E - 0 1 1.0529E 00 9 . 4 6 8 2 E - 0 1 1 .0433E 00 9 . 7 0 3 6 E - 0 1 1 . 0 4 3 6 8 00 9 . 8 4 7 7 E - 0 1

1 .0131E 00 9 . 8 0 2 8 E - 0 1 1 .0132E 00 9 . 8 8 4 3 E - 0 1 1 .0132E 00 9 . 9 6 6 6 E - 0 1 1 .0132E 00 1.0008E 00 1.0133E 00 1 .0033E 00

1.50 10.00 15.00 20.00 30.00

1.0133E 00 1 .0066E 00 1.0133E 00 1 .0083E 00 1.0133E 00 1 .0100E 00 1 .0133E 00 l . O l O 8 E 00 1.0133E 00 1 .0116E 00

1 .0133E 00 1.0123E 00

1 .0217E 00 1 . 0 0 8 4 E 00 1.02178 00 1 .0118E 00 1.0218E 00 1.0151E 00 1 .0218E 00 1 .0168E 00 1.0218E 00 1.0185E 00

1 . 0 2 1 8 E 00 1.0198E 00

1.0346E 00 1.0079E 00 1.04398 00 1 .0043E 00 1.0345E 00 1 .0146E 00 1.034bE 00 1.0213E 00 1 .0346E 00 1.0246E 00 1.0347E 00 l . O Z 8 O E 00

1 . 0 3 4 7 1 00 1.0301E 00 1.0347E 00 1.0321E 00 1.0347E 00 1 .0327E 00 1.0348E 00 1 . 0 3 3 4 1 00 1.0348E 00 1.0338E 00

1 . 0 3 4 8 8 00 1 .0341E 00 1 . 0 3 4 8 1 00 1.0343E 00 1.0348E 00 1.0344E 00 1.0348E 00 1.0345E 00 1.0348E 00 1.0346E 00

1.0348E 00 1 . 0 3 4 l E 00 1.0348E 00 1 .0347E 00 1.0348E 00 I . 0 3 4 1 E 00 1.0348E 00 1.0347E 00 1.0348E 00 1.03’171 00

1 . 0 3 4 8 E 00 1.0347E 00 1.0348E 00 1.0347E 00 1 . 0 3 4 8 8 00 1 . 0 3 4 8 E 00 1 . 0 3 4 8 1 00 1.0348E 00 1 .0348E 00 1 .0348E 00

1.0441E 00 1 .0142E 00 1.0443E 00 1.0243E 00 1.0443E 00 1 .0293E 00 1.0444E 00 1 . 0 3 4 5 8 00

1.04458 00 1.0385E 00 50.00 75.00

100.00 1 5 0 . 0 0 200.00

1.0133E 00 1 .0126E 00 1.0133E 00 1.0128E 00 1 .0133E 00 1 .0130E 00

1.0218E 00 1 . 0 2 0 5 E 00 1 . 0 2 1 8 8 00 1 . 0 2 0 8 E 00 1.0218E 00 l . O Z 1 2 E 00

1.0445E 00 1.0405E 00 I.Ok4bE 00 1.0415E 00 1.0446E 00 1.0426E 00

1 .0133E 00 1.0131E 00 1.0218E 00 1 . 0 2 1 3 E 00 1.0446E 00 1.0431E 00

300.00 400.00 500.00 1 5 0 . 0 0 1000.00

1.0133E 00 1 .0131E 00 1.0133E 00 1.0132E 00 1 . 0 1 3 3 E 00 1 .0132E 00 1 .0133E 00 1 .0132E 00 1.0133E 00 1 .0133E 00

1.0133E 00 1 . 0 1 3 3 E 00 1.0133E 00 1 . 0 1 3 3 E 00 1 .0133E 00 1.0133E 00 1.0133E 00 1.0133E 00 1.0133E 00 1 .0133E 00

1 .0133E 00 1 .0133E 00 1.0133E 00 1.0133E 00 1.0133E 00 1.0133E 00 1.0133E 00 1.0133E 00 1.0133E 00 1.0133E 00

laO218E 00 1.0215E 00 1 .0218E 00 1 . 0 2 1 6 E 00 l .OZ18E 00 1 . 0 2 1 6 E 00 1.0218E 00 1 .0211E 00 1.0218E 00 1 . 0 2 1 7 E 00

1.0446E 00 1.0436E 00 1.04468 00 1 .0438E 00 1.04468 00 1.0440E 00 1.0446E 00 1.0442E 00 1.0446E 00 1.0463E 00

I . 0 4 4 b E 00 1 .0445E 00 1.0446E 00 1 . 0 4 4 5 E 00 1.0446E 00 1.04458 00 1.0446E 00 1 .0445E 00 1.0446E 00 1.0446E 00

1.0446E 00 1.0446E 00 1.0446E 00 1 - 0 4 4 6 E 00 1 . 0 4 4 6 E 00 1.0446E 00 1.0446E 00 1 . 0 4 4 6 E 00 1.0446E 00 1 . 0 4 4 6 E 0 0

2000.00 3000.00 4000.00 5000.00 6000.00

1.0218E 00 1 .0218E 00 l . 0 2 1 8 E 00 1.0218E 00 1.0218E 00 1 .0218E 00 1 .0218E 00 1 .0218E 00 1 .0218E 00 1 .0218E 00

1 .0218E 00 l .OZ18E 00 l . 0 2 1 8 E 00 1 . 0 2 1 8 8 00 1.0218E 00 1 .0218E 00 1 .0218E 00 1.0218E 00 1 .0218E 00 1 . 0 2 1 8 E 00

1 0 0 0 . 0 @ [email protected] ~0c0.00

1 0 0 0 0 . 0 0 INF

TAU = 0.400 TAU = 0.500 TAU = 0.600 TAU = 0.800

X Y 1.0034E 00 6 . 9 8 4 2 1 - 0 4 1.0121E 00 4 . 1 9 0 2 E - 0 3 1.0194E 00 2 .6997E-02 1.0286E 00 1 . 5 3 3 3 E - 0 1 1.0340E 00 2 . 8 8 3 1 E - 0 1

1.0375E 00 3 .9728E-01 1 .0399E 00 4 . 8 2 1 1 E - 0 1 1.0416E 00 5 .4874E-01 1 . 0 4 4 0 E 00 6 . 4 5 4 0 E - 0 1 1.0455E 00 7 . 1 1 5 3 E - 0 1

1 .0416E 00 8 .1054E-01

X V 1 .0034E 00 5,83461-04 l.0121E 00 3.2241E-03 1.0195E 00 1 . 3 8 9 l E - 0 2 1 .0294E 00 9 .802OE-02 1 . 0 3 5 6 1 00 2 . 1 2 0 5 E - 0 1

X Y 1 . 0 0 3 4 1 00 3 . 7 1 1 9 E - 0 4 1.0121E 00 1 . 9 8 5 5 E - 0 3 1.0196E 00 4 .6972E-03 1.0302E 00 2 . 8 1 9 4 E - 0 2 1.0316E 00 8.6666E-02

1 . 0 4 2 9 8 00 1 . 5 8 6 2 E - 0 1

0.01 0.05 0 .10 0 .20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

1.0034E 00 4 . 9 6 0 9 8 - 0 4 1.0121E 00 2 . 6 8 6 4 E - 0 3 1.0196E 00 8 .4669E-03 1.0298E 00 6 .3697E-02 1 . 0 3 6 6 E 00 1 . 5 6 5 l E - 0 1

1 .0397E 00 3 . 1 5 1 2 E - 0 1 1 .0426E 00 4 . 0 0 6 0 E - 0 1 1 . 0 4 4 8 E 00 4.7049E-01 1.0478E 00 5 . 1 5 6 9 E - 0 1 1 . 0 4 9 7 1 00 6 . 5 0 0 3 6 - 0 1

1 .0526E 00 7 . 6 4 6 0 E - 0 1

1.0412E 00 2 . 5 0 2 5 1 - 0 1 i;osiii oo S . x % E - o i 1 . 0 4 7 1 E 00 4.0333E-01 1.0506E 00 5 . 1 3 2 k E - 0 1

1.0469E 00 2 . 3 0 3 9 E - 0 1 1.0500E 00 2 . 9 6 4 6 E - 0 1 1.0545E 00 4 . 0 1 5 2 E - 0 1

1 .0530E 00 5 1 9 3 4 5 1 - 0 1

1 .0565E 00 7.2067E-01

1.0576E 00 4 . 9 3 9 0 E - 0 1

1.0622E 00 b . 3 9 0 5 E - 0 1 1 .0488E 00 8 .6518E-01 1 . 0 5 0 0 1 00 9 . 2 3 5 4 E - 0 1 1.0506E 00 9 . 5 4 2 1 1 - 0 1

1 .0551E 00 8 . 2 9 3 8 E - 0 1 1.0557E 00 8 . 9 9 7 3 E - 0 1 1 .0565E 00 9 . 3 7 1 4 E - 0 1

1 . 0 5 8 4 E 00 7.9436E-01 1 .060kE 00 8.1512E-01 1.0614E 00 9 1 1 9 5 2 E - 0 3

l.Ob48E 00 7 . 2 7 2 7 E - 0 1 1 . 0 6 7 6 8 00 8 . 2 7 9 1 E - 0 1 1 .0690E 00 8 . 0 3 4 2 E - 0 1 1.0699E 00 9 .1853E-01 1.0510E 00 9 . 1 3 1 0 E - 0 1 1 .0510E 00 9 . 6 0 3 4 E - 0 1 1 .0620E 00 9 . 4 6 8 6 8 - 0 1

7 . 5 0 10.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 200.00

300.00 400.00 500.00 7 5 0 . 0 0 1000.00

2000.00 3000.00 4000.00 5000.00 6000 .00

1.0515E 00 9 . 9 8 8 8 E - 0 1 1 . 0 5 1 7 E 00 1 .0120E 00 1.0520E 00 1.0253E 00 1 .0521E 00 1 .0321E 00 1 . 0 5 2 3 8 00 1.03881 00

1.0524E 00 1 .0443E 00 1 .0524E 00 1 .0470E 00 1.0524E 00 1.0484E 00 1.0525E 00 1 .0498E 00 1.0525E 00 1.0505E 00

1 .0577E 00 9 . 9 2 1 9 E - 0 1 1.0581E 00 1 .0085E 00 1.0584E 0 0 l . O Z 5 l E 00 1 .0586E 00 1.0335E 00 1 .0588E 00 1.042OE 00

1 .0629E 00 9.846OE-01 1 .0634E 00 1-0040E 00 1 . 0 6 3 8 1 00 1 . 0 2 3 9 8 00

1.0712E 00 9 .6756E-01 1 .0718E 00 9 . 9 3 0 6 E - 0 1 1.0724E 00 1 .0192E 00 1.0727E 00 1 .0326E 00 1.0731E 00 1.0461E 00

1.0733E 00 1 .0511E 00 1.0735E 00 1.0626E 00 1.0735E 00 1.0654E 00 1.0736E 00 l . O b 8 2 E 00 1.0736E 00 1 . 0 6 9 5 1 00

1.0137E 00 1 1 0 7 0 9 E 00 1.0737E 00 1.0716E 00 1.07378 00 1.0121E 00 1.0137E 00 1.0126E 00 1.0737E 00 1.0129E 00

1.0137E 00 1.0133E 00 1.0737E 00 1 . 0 7 3 5 1 00 1.0737E 00 1 . 0 7 3 5 1 00 1.0137E 00 1.0736E 00 1.0737E 00 1.0736E 00

i . 0 6 4 0 E 00 1.0339E 00 1 . 0 6 4 3 8 00 1.04418 00

1 .064kE 00 1.0523E 00 1.0645E 00 1.0564E 00 1 . 0 6 5 6 1 00 1.0585E 00 1 . 0 6 4 6 8 00 1.0606E 00 1 .0656E 00 1.0616E 00

1.0525E 00 1.0511E 00 1 .0525E 00 1.0515E 00 1.0525E 00 1.0517E 00 1.0525E 00 1.0520E 00 1.0525E 00 1.0521E 00

1 .0591E 00 1.0574E 00 1.0591E 00 1 . 0 5 7 8 E 00 1.0591E 00 1 . 0 5 8 1 E 00 1 . 0 5 9 1 E 00 1.0584E 00 1.0591E 00 1.05866 00

1.0657E 00 1 .0626E 00 1 .06518 00 1.0632E 00 1.0657E 00 1 . 0 6 3 5 1 00 l .Ob47E 00 1 .0639E 00 1.0647E 00 1 .0641E 00

1.0525E 00 1.0523E 00 1.0525E 00 1 .0524E 00 l.0525E 00 1.0524E 00 1.0525E 00 1.0524E 00 1.0525E 00 1 .0525E 00

1 . 0 6 4 l E 00 1.0644E 00 1 . 0 6 4 l E 00 1 .0645E 00 1.0657E 00 1 .0646E 00 1 .0657E 00 1.064bE 00 1.06578 00 1 . 0 6 4 6 1 00

1.0647E 00 1.0646E 00 1.0657E 00 1 .0646E 00 1.0647E 00 1.0646E 00 1.065lE 0 0 1.0647E 00 1.0647E 00 1.06478 00

7000.00 8000.00 9 0 0 0 . 0 0

1 0 0 0 0 . 0 0 I N F

1.0525E 00 1.0525E 00 1 . 0 5 9 1 E 00 1.0590E 00 1.0731E 00 1.0736E 00 1 . 0 5 2 5 1 00 1.0525E 00 1.0525E 00 1.0525E 00 1.0525E 00 1.0525E 00

. . ~ ~ .~ ~~ .~~~ ~~ ~~

1 . 0 5 9 1 E 00 1 . 0 5 9 1 1 00 1.0591E 00 1.0591E 0 0 1.0591E 00 1.0591E 00

1 . 0 7 3 7 1 00 1.0736E 00 1.07371 00 1.0736E 00 1.0737E 00 1.0736E 00

1 . 0 5 2 5 1 00 1 .0525E 00 1 .0591E 00 1.0591E 00 1.07378 00 1.0737E 00

41

TAU I 1.500 TAU = 2.000 TAU = 2.500 OMEGA = 0.20

TAU = 1.000

2 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 200.00

300.00 400.00 500.00 750.00 1000.00

2000.00 3000.00 4 0 C 0 . 0 0 50CO.00 6 0 0 0 . 0 0

7 0 0 0 . 0 0 8 O C O . C O 9 0 0 0 . 0 0

1 0 0 0 0 . 0 0 l N F

X Y 1.0034E 00 1.6370E-04 1 .OI21E 00 8 . 6 2 0 0 E - 0 4 1 .0197E 00 1 . 8 4 2 6 E - 0 3 1.0304E 00 4 .8466E-03 1 . 0 3 8 3 1 00 1 . 4 3 3 4 1 - 0 2

X I 1.0034E 00 1 . 0 1 2 l E - 0 4 l.0121E 00 5.3028E-04 1 .0191E 00 1 .1236E-03 1 .0305E 00 2.5989E-03 I . 0 3 8 4 E 00 5.7308E-03

1.0034E 00 6 .6214E-05 l . O l 2 1 E 00 3 .4525E-04 1.0197E 00 7 . 2 1 1 6 8 - 0 4 1.0305E 00 1 . 6 2 8 8 E - 0 3 1.0384E 00 3 . 0 2 0 3 E - 0 3

1 .0446E 00 6 . 2 3 6 1 E - 0 3 1.0491E 00 1 . 2 9 7 9 1 - 0 2 1 .0540E 00 2 . 4 0 3 3 E - 0 2

1 .0444E 00 3 . 5 0 9 2 E - 0 2 1 . 0 4 9 3 8 00 6.5622E-02 1.0534E 00 1 . 0 2 1 6 E - 0 1 1 . 0 5 9 6 1 00 1 . 8 1 2 7 E - 0 1

1 . 0 4 4 6 6 00 1 . 3 6 7 6 E - 0 2 1 . 0 4 9 6 E 00 2.821OE-02 1 .0538E 00 4 .8813E-02

1.0431E 00 1 .0142E-01 1 .0482E 00 1 .5993E-01 1.0517E 00 2 .1812E-01 1.0569E 00 3 . 2 3 3 4 E - 0 1

. . . ~ ~ ~ ~ 1.0605E 00 1.0193E-0; 1.0654E 00 1 . 6 1 5 7 E - 0 1

1 .0737E 00 3 . 0 3 0 4 E - 0 1

l . 0 6 0 8 E 00 5 . 7 6 9 3 E - 0 2 1.0660E 00 1 . 0 1 3 4 E - 0 1

1.0748E 00 2.208OE-01

1.0605E 00 4 .1051E-01

1.0661E 00 5 . 6 5 6 5 E - 0 1

1 .0641E 00 2 . 5 7 7 4 E - 0 1

1 .0114E 00 4 . 1 4 9 1 E - 0 1 i . 0 6 9 3 ~ 00 6 . 6 4 5 6 ~ - 0 1 1 .0727E 00 7 . 8 1 1 5 8 - 0 1 1 .0746E 00 8 . 4 7 0 4 E - 0 1 1 .0757E 00 8 .8921E-01

1 .0157E 00 5 . 2 7 6 2 E - 0 1 1 .0806E 00 6 . 1 1 7 8 E - 0 1 1 .0832E 00 7 . 5 8 3 3 E - 0 1

1 .0181E 00 4 .1693E-01 1.0846E 00 5.1497E-01 1 .0878E 00 6 - 7 5 1 0 E - 0 1 I .OB99E 00 7 . 4 4 5 7 1 - 0 1

1.0803E 00 3 . 2 8 5 5 E - 0 1 1.0861E 00 4 . 9 0 1 4 E - 0 1 1.0904E 00 6 . 0 0 4 4 E - 0 1

1 .0849E 00 8 . 1 5 6 1 1 - 0 1

1.0872E 00 8 . 9 8 9 0 E - 0 1 1.0885E 00 9 . 4 3 1 3 8 - 0 1

1.0928E 00 6 . 7 7 9 2 E - 0 1

1.0962E 00 7 . 9 7 2 6 E - 0 1 1 .0173E 00 9 . 4 8 9 0 E - 0 1 1 .0781E 00 9 . 8 0 2 3 E - 0 1

I . 0 9 2 8 E 00 8 .4764E-01 1.0944E 00 9 . 0 4 4 8 E - 0 1 1.0980E 00 8 . 6 4 7 0 8 - 0 1

1.0998E 00 9 . 3 7 9 3 E - 0 1 1.1000E 00 9 . 1 6 8 6 E - 0 1

1 .0789E 00 1.0126E 00 1.0794E 00 1 .0292E 00 1.0198E 00 1 .0461E 00

1 .0801E 00 1 .0598E 00 1 .0803E 00 1.0667E 00 1 .0804E 00 1 .0702E 00 1 .0805E 00 1 .0136E 00 I . 0 8 0 5 E 00 1 . 0 7 5 4 E 00

1 .0806E 00 1 .0771E 00 1.08ObE 00 1.078OE 00 1 .0806E 00 L.0785E 00

1 . 0 0 9 7 8 00 9 . 9 0 8 Z E - 0 1 1 .0903E 00 1 .0153E 00 1.09LOE 00 1.0403E 00

1.0915E 00 l . 0 6 0 0 E 00 1 .0918E 00 1 .0712E 00 1 . 0 9 1 9 E 00 1 . 0 7 6 4 E 00 1.0920E 00 1 . 0 8 1 7 E 00 1.092LE 00 1 . 0 8 4 3 E 00

1 .0922E 00 1 .0870E 00 1 . 0 9 2 2 8 00 1 . 0 8 8 3 E 00 1 . 0 9 2 2 E 00 1 .0891E 00 l . 0 9 2 2 E 00 1 . 0 9 0 2 E 00 1 .0923E 00 1.0907E 00

1 .0960E 00 9 . 6 5 1 9 E - 0 1 1 .0968E 00 9 . 9 7 0 8 E - 0 1 1 .0976E 00 1 .0300E 00

1.0983E 00 I . 0 5 7 2 E 00 1 .0986E 00 1.0710E 00 1.0988E 00 1.0780E 00 1 .0989E 00 1.0851E 00 1 .0990E 00 1.0886E 00

L.0991E 00 1 .0922E 00 1 .0992E 00 1 .0939E 00 I . 0 9 9 2 E 00 1 .0950E 00 1 .0992E 00 1 .0964E 00 1.0992E 00 1 .0971E 00

1.0993E 00 1.0982E 00 1 .0993E 00 1.0986E 00 1 .0993E 00 1.0988E 00

i.ioieE 00 1.0174E oo 1.1025E 00 1.0511E 00 1.1029E 00 1 .0684E 00 L.1031E 00 1 .0111E 00 1.1034E 00 1 .0859E 00 1.1035E 00 1 .0904E 00

1.1036E 00 1 . 0 9 4 8 8 00 1.1036E 00 1 .0970E 00 I . 1 0 3 6 E 00 1 - 0 9 8 4 E 00 1.1037E 00 1 .1002E 00 1.1037E 00 1 .1011E 00

i;aiOiE 00 1 . 0 7 9 2 ~ 00 1.0806E 00 1.079bE 00

l . l O 3 7 E 00 1 . 1 0 2 4 E 00 1.1031E 00 l . l O 2 9 E 00 1.1037E 00 1 .1031E 00 1.1037E 00 1.1032E O C 1.1038E 00 1 .1033E 00

1.1038E 00 1 .1034E 00 1.1038E 00 1.1034E 00 1.1038E 00 1.1035E 00 1.1038E 00 1.1035E 00 1.1038E 00 1.1038E 00

1 .0806E 00 1 . 0 8 O l E 00 l . 0 8 0 6 E 00 1 .0803E 00 1 .0806E 00 1 .0804E 00 1.0806E 00 1.08C4E 00

1 . 0 9 2 3 E 00 1 .0915E 00 1.0923E 00 1.0918E 00 1 .0923E 00 1 .0919E 00 1 .0923E 00 1 .0920E 00

. . ~ ~~ ~~

1 .0993E 00 i . 0 9 8 9 ~ 00 1.0993E 00 1 .0989E 00

1 .0993E 00 1.099OE 00

1 .0806E 00 1 .0805E 00

1 .0806E 00 1 . 0 8 0 5 E 00

1 .0923E 00 I .092OE 00

1 .0923E 00 1 .0921E 00 1 . 0 8 0 6 E 00 1.0005E 00 1 . 0 8 0 6 2 00 1 . 0 8 0 5 2 00 1 . 0 8 0 6 E 00 1.0805E 00 1 .0806E 00 I.OBO6E 00

1 .0923E 00 1.09212 00 1 .0923E 00 1 .0921E 00 1.0923E 00 1 .092LE 00 1 .0923E 00 1 .0923E 00

1 .0993E 00 1 .0990E 00 1 .0993E 00 1 .099LE 00 1 .0993E 00 1 .0991E 00 i 1 0 9 9 3 E 00 1 . 0 9 9 3 ~ oo

TAU = 3.000 TAU = 3.500 TAU = 4.000 TAU = 4.500

2 0.01 0.05 0.10

I . 0 0 3 4 E 00 4 .5244E-05 1 .0121E 00 2 . 3 5 0 9 E - 0 4 1.0191E 00 4 .9276E-04 1.C305E 00 1.088OE-03 1.0384E 00 1 . 0 7 3 6 E - 0 3

1 .0034E 00 3 . i 0 9 1 8 - 0 5 1.0121E 00 1 .6627E-04 1 .0197E 00 3 . 4 7 0 9 E - 0 4 1.0305E 00 7 . 5 8 6 2 E - 0 4 1.0384E 00 1 .265RE-03

1 .0446E 00 2.0455E-03 1.0498E 00 3 . 6 1 7 3 E - 0 3 1 . 0 5 4 l E 00 6 . 6 8 0 5 E - 0 3 l . 0 6 l O E 00 1 . 9 1 1 7 E - 0 2

1.0034E 00 2 .3520E-05 I . 0 1 2 1 E 00 1 .2154E-04 1 .0197E 00 2 . 5 2 8 3 E - 0 4 1 .0305E 00 5 . 4 7 9 9 E - 0 4 1 .0384E 00 8 .9956E-04

1.04462 00 2 . 3 7 3 1 2 - 0 3 1 .0498E 00 2 .212OE-03 1 .0541E 00 3 1 8 5 7 1 E - 0 3

1.0034E 00 1 . 7 1 4 ’ 4 - 0 5 1.0121E 00 9 .1483E-05 1.0197E 00 1 . 8 9 7 2 E - 0 4 1.0305E 00 4 . 0 8 2 4 E - 0 4 1.0384E 00 6 . 6 3 0 3 E - 0 4

1.0146E 00 9 . 8 0 4 5 2 - 0 4 1.0498E 00 1 . 4 7 0 7 E - 0 3 1 . 0 5 4 1 ~ 00 2 . 3 8 7 0 ~ 4 3

0.20 0.30

0.40 0.50 0 .60 0.80 1 .0610E 00 1 .1290E-02

1 .0663E 00 2 . 5 5 1 4 E - 0 2

1 .0757E 00 8 - 4 9 5 0 2 - 0 2

i.obiCE 00 6.a31oE-03 1.0664E 00 1 . 6 3 1 5 E - 0 2

1.0758E 00 6 . 1 7 8 9 E - 0 2

1.00

1.50

1 . 0 6 6 3 2 00 4 . 0 2 0 6 E - 0 2

1 .0755E 00 1 . 1 6 8 3 E - 0 1 1 .0753E 00 1 . 6 0 6 7 E - 0 1 2.00 3.00 4.00

L.OBL1E 00 2 . 5 8 4 5 E - 0 1 1 .0880E 00 4 . 1 8 1 1 E - 0 1 I . 0 9 2 0 E 00 5 . 3 2 6 b E - 0 1

1 .0815E 00 2 . 0 3 0 8 E - 0 1 1.0887E 00 3 . 5 5 8 0 E - 0 1 1 .0929E 00 4 . 7 2 0 0 E - 0 1

1 . 0 8 1 l E 00 1 . 5 9 4 5 E - 0 1 1 .0891E 00 3 . 0 2 5 4 E - 0 1 1 .0935E 00 4 . 1 7 0 4 E - 0 1

1.0819E 00 1 . 2 5 1 5 E - 0 1 1.0894E 00 2 . 5 1 1 1 E - 0 1 1.0939E 00 3 . 6 9 8 7 E - 0 1

5.00

7 . 5 0 10.00

1.0945E 00 6 . 1 6 2 2 E - 0 1

1 .0983E 00 7 . 4 8 1 1 1 - 0 1 1 .1003E 00 8 . 2 5 4 3 E - 0 1

i . 0 9 5 7 ; a o 5.5954E-oi

1.0996E 00 7 . 0 2 4 3 E - 0 1 1 .1018E 00 7 .872OE-01

.~ 1.0964E 00 5 . 0 7 7 1 E - 0 1 1.0969E 00 4.6045€-0;

1.1012E 00 6 . 1 7 1 8 E - 0 1 1.1036E 00 7 . 1 4 7 7 E - 0 1

1.1006E 00 6 - 5 8 5 8 E - 0 1 1.1028E 00 7 .5027E-01 1.1052E 00 8 . 5 4 8 8 E - 0 1 l . l O 6 4 E 00 9 . 1 2 5 8 E - 0 1 1 .1077E 00 9 . 7 4 2 l E - 0 1

l . I O 8 8 E 00 l . 0 2 6 5 E 00 1.1093E 00 1 . 0 5 3 7 1 00 1 .1096E 00 1 . 0 6 l b E 00 1 .1098E 00 1.0817E 00 1 .1100E 00 1.0888E 00

1 . l l O l E 00 1.0959E 00 1.11OZE 00 1 .0995E 00 1 . 1 1 O Z E 00 l . l O l l E 00 1 .1103E 00 l . l O 4 6 E 00 1 . 1 1 0 3 E 00 1.1060E 00

15.00 20.00 30.00

50.00 75.00

lCO.OO 150.00 200.00

300.00 4CO.00 500.00 750.00 1000.00

1.1023E 00 9 . l O l l E - 0 1 1 .1034E 00 9 . 5 5 6 9 E - 0 1 1 .1045E 00 1.0036E 00

1.1040E 00 8.8232E-01 1.1052E 00 9 . 3 4 1 6 E - 0 1 1.1064E 00 9 . 8 9 0 7 E - 0 1

1.1061E 00 8 . 2 7 9 5 E - 0 1 1.1074E 00 8 . 9 1 1 6 E - 0 1 1.1087E 00 9 . 5 9 Z Z E - 0 1

1 .1054E 00 1 .0436E 00 1 .1058E 00 1 .0643E 00 l . l O 6 l E 00 1 . 0 1 4 l E 00 L.1063E 00 1 .0853E 00 L.1064E 00 1 .0906E 00

1 .1074E 00 1.0353E 00 1 .1010E 00 1 .0593E 0 0 1 .1081E 00 1 .0715E 00 1 .1083E 00 1 .0838E 00 1.1085E 00 1.0900E 00

l . l O 8 6 E 00 1 .0962E 00 1 .1087E 00 1.0994E 00 1.1087E 00 l . l O 1 3 E 00 1.1088E 00 l . 1 0 3 8 E 00 1.1C00E 00 L .1051E 00

I . 1 0 9 8 E 00 1 .0174E 00 1.1104E 00 1 .0479E 00 L.1106E 00 1.0634E O C 1 . 1 1 0 9 1 00 1.0192E 00 1.1111E 00 1 . 0 8 7 2 6 00

1.1065E 00 1 .0960E 00 1 .1066E 00 I . 0 9 8 7 E 00 1 . 1 0 6 6 E 00 1 .1003E 00

l.1112E 00 1.0952E 00 1.1113E 00 1 . 0 9 9 3 E 00 1.1113E 00 1 . 1 0 1 7 E 00

1 . i o 6 7 ~ 00 1 . 1 0 2 4 ~ 00 1.1067E 00 1 .1035E 00

1.1067E 00 1 .105LE 00

1 . 1 1 1 4 ~ 00 i.iosoE 00 I . I l l 4 E 00 1 .1066E 00

1.1114E 00 1.1090E 00 2000.00 30C0.00 4 O C O . 0 0 5000.00 6 0 0 0 . 0 0

1000.00 8000.00

1.1088E 00 1 .1070E 00 1 . 1 0 6 7 E 00 1 .1057E 00 1 . 1 0 6 7 E 00 1 .1059E 00 1.1067E 00 l . l O b l E 00

1 .1088E 00 L .1076E 00 1.1088E 00 1 .1079E 00 1.1088E 00 1 . l O 8 l E 00

1.1115E 00 1.1099E 00 1.1115E 00 1.1103E 00 1.1115E 00 1.1105E 00

1 . 1 0 6 7 E 00 1 .1062E 00

1 .1067E 00 l . l O 6 3 E 00 I . 1 0 6 8 E 00 1 .1064E 00

1 .1088E 00 1. lOBZE 00

1 .1088E 00 1 .1083E 00 1 .1088E 00 1 .1084E 00

1.1104E 00 1.1096E 00

1 .1104E 00 1 .1097E 00 I . 1 1 0 4 E 00 1 .1098E 00 1 . 1 1 0 4 E 00 1 .1099E 00 1.1104E 00 1 .1099E 00 1 . 1 1 0 4 E 00 1 .1104E 00

1.111% 00 1.1107E 00

1.1115E 00 I . L l O 8 E 00 1 . 1 I L 5 E 00 1 . 1 1 0 9 E 00 1.1115E 00 1 .1109E 00 1.1115E 00 l . l l l O E 00 1.1115E 00 l . 1 1 1 5 E 00

9 0 0 0 . 0 0 10000.00

INF

1.1068E 00 1 .1064E 00 1 .1068E 00 1.1064E 00 l . l O 6 8 E 00 1 .1068E 00

1 .1088E 00 1 .1084E 00 l . l O 8 8 E 00 1.1085E 00 1.1089E 00 1 .1089E 00

42

.. .

TAU = 7.500

X Y 1 .0034E 00 5 .1056E-06

TAU = 10.00

X Y 1 .0034E 00 2 .5872E-06

TAU I 15.00

X Y 1.0034E 00 1 .02555-06 1.0121E 00 5.1792E-06 1.0197E 00 1 .0521E-05 1.0305E 00 2 .1605E-05 1.0384E 00 3.3192E-05

1 .0446E 00 4.5277E-05

OMEGl\ = 0.20 TAU = 5.000

L 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 200.00

300.00 400.00 500.00 750.00 1000.00

2000.00 30CO.00 4000.00 5000.00 6000 .00

7000 .00 8000.00 9000.00 10000.00

LNF

L 0.01 0.05 0.10 0.20 0 . 3 0

0.40 0.50 0 . 6 0 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 200.00

3C0.00 400.00 500.00 750.00

1 0 C O . O O

2000.00 3000.00 4000.00 5000 .00 6000 .00

7000 .00 8000.00 9000.00 10000.00

INF

X Y 1.0034E 00 L.3727E-05 1.0121E 00 7 1 0 6 7 5 8 - 0 5 1.0197E 00 1.4616E-04 1 . 0 3 0 5 1 00 3.1254E-04

I . 0 1 2 1 E 00 2.6088E-05 1 .0197E 00 5 .3456E-05 1 . 0 3 0 5 1 00 1.1195E-04

i . 0121E 00 i.314IE-05 1.0197E 00 2.6805E-05 1 .0305E 00 5.5557E-05

1.0384E 00 5 .0344E-04 1 .0384E 00 1.7583E-04 1.0384E 00 8.6229E-05

1.0446E 00 7.3078E-04 1 .04981 00 1.0442E-03 1 . 0 5 4 l E 00 1.5816E-03

1 .0446E 00 2.4599E-04 1 .0498E 00 3 .24231-04 1 .0541E 00 4 .1602E-04 1 .06 lOE 00 7.2521E-04 1 .0664E 00 1 .5397E-03

1.0446E 00 1.1896E-04 1 . 0 4 9 8 1 00 1 . 5 4 0 l E - 0 4 1 .0541E 00 I .9182E-04 1 .06 lOE 00 2.8221E-04

1.0498E 00 5.78748-05 I . 0541E 00 7 .1012E-05 1.0610E 00 9.9099E-05 1 .06 lOE 00 4 . 2 5 6 3 E - 0 3

1.0664E 00 1.0539E-02 1 .06648 00 4.3633E-04 1.0664E 00 1 .30421-04

1.07581 00 4 .49711-02 1.0820E 00 9.8201E-02 1 .08961 00 2.1841E-01 1.094ZE 00 3.272OE-01 1.0912E 00 4 .1744E-01

1.L017E 00 5.782OE-01 1.1041E 00 6 .8074E-01 1.1067E 00 8 .0165E-01 1.lOBOE 00 8 .7000E-01 1.1094E 00 9 .4422E-01

1.0758E 00 9 .4523E-03 1 .0821E 00 2.9301E-02 1 .0899E 00 9 .6365E-02

1.0759E 00 2.2167E-03 1.0821E 00 8.9151E-03 1.0900E 00 4.2517E-02 1 .0948E 00 9 .5319E-02 1 .0981E 00 1.55388-01

1.0759E 00 2.7972E-04 1.0821E 00 1.00021-03 1.0900E 00 8.4092E-03 1.0949E 00 2 .77698-02 1.0982E 00 5.7681E-02

1 .0947E 00 1 .7b75E-01 1 .0979E 00 2 .5492E-01

1 .1027E 00 4 .1621E-01 I . 1 0 5 4 E 00 5 .3217E-01 1.1083E 00 6 .8069E-01 1.1098E 00 7 .6993E-01 1.1113E 00 8 .7096E-01

1.1031E 00 2.9906E-01 1.1058E 00 4.1532E-01 1.1088E 00 5.7710E-01 1.1104E 00 b.8040E-01 1.1121E 00 8 .0226E-01

1.1033E 00 1 .5416E-01 1.1061E 00 2 .5258E-01 1.1092E 00 4 .1426E-01 1.1109E 00 5 .30678-01 1.1127E 00 6.1992E-01

1.1142E 00 8 .29098-01 1 .1150E 00 9 .L557E-01 1.1154E 00 9 .6214E-01 1.1158E 00 1 . O l l l E 00 1 .1160E 00 1 . 0 3 6 5 1 00

1.1126E 00 9 .6125E-01 1.1133E 00 1 .0099E 00 1.1136E 00 1 .0351E 00 1.1140E 00 1 . 0 6 1 0 1 00 1.1142E 00 1 .0742E 00

L . l l 2 l E 00 1 . 0 9 4 3 1 00 l . 1 1 2 1 E 00 1.0988E 00 1.11ZZE 00 1.1015E 00 1.1122E 00 1.1051E 00 1.1123E 00 1 .1069E 00

1.1143E 00 1 .0875E 00 1.1144E 00 1.0942E 00 1.1145E 00 1.0983E 00 1.1145E 00 1 .1037E 00 1.1146E 00 L.1065E 00

1.1153E 00 1.0195E 00 1.1154E 00 1.0884E 00 1.1155E 00 1 .09388 00 1.1155E 00 1.1011E 00 1 .1156E 00 1.1047E 00

1 . 1 1 6 2 ~ 00 1 . 0 6 2 5 ~ oa 1.1163E 00 1.0758E 00 1 . l l 6 3 E 00 1 .0838E 00 1.1164E 00 1.0946E 00 1.1165E 00 1.1001E 00

1.1123E 00 1.1096E 00 1.LL23E 00 1 .1105E 00 1 . l l 2 3 E 00 1 . l l l O E 00 1.L123E 00 1 .1113E 00 1.1123E 00 1 .1114E 00

1.1146E 00 1.1106E 00 1.1146E 00 1 .1119E 00 1.1147E 00 1 . l l 2 6 E 00 1 . I I 4 7 E 00 1 . 1 1 3 0 E 00

1 . l l 6 5 E 00 1.1083E 00 1.1165E 00 1 . 1 l l L E 00 l . l l 6 6 E 00 1.ll24E 00 1.1166E 00 1.1133E 00 1.1166E 00 1.1138E 00

1.1123E 00 1 .1116E 00 1 .1147E 00 1.1135E 00 1.1157E 00 1.1141E 00 1.1157E 00 1.1143E 00 1.1151E 00 1.L145E 00 1.1157E 00 1.1146E 00 1.1157E 00 1.1157E 00

l . l l b 6 E 00 1.1142E 00 l . l l b 6 E 00 1.1145E 00 1.1166E 00 1.1141E 00 1.1166E 00 1.1149E 00 l . l l 6 6 E 00 L.116bE 00

1.1123E 00 1 . l l l l E 00 1.1123E 00 1 . l l l 7 E 00 1.1129E 00 1 .1118E 00 1.1124E 00 l r l l 2 4 E 00

1 . l l 4 7 E 00 1 .1136E 00 1.1147E 00 1.1138E 00 1 - 1 1 4 7 E 00 1.1139E 00 1.1147E 00 1 .1147E 00

TAU = 20.00

X Y 1.0034E 00 5.6342E-07

TAU = 25.00

X V 1.0034E 00 3 .2639E-07

TAU = 30.00

X Y 1 .0034E 00 2.207+E-07

1AU = 40.00

X Y 1.0034E 00 1 .1924E-07 1.0121E 00 6 .0813E-01 1.0197E 00 1 .2271E-06 1.0305E 00 2 .4924E-06 1.0384E 00 3 .7865E-06

1.0446E 00 5 .1058E-06

1.0121E 00 2.6958E-06 1 - 0 1 9 1 E 00 5 .4968E-06 1 .0305E 00 l . l Z 6 3 E - 0 5 1.0384E 00 1 .7236E-05

1.0121E 00 1 .6672E-06 1.0197E 00 3 .3693E-06 1.0305E 00 6 .8124E-06

1.0121E 00 l . l l 6 6 E - 0 6

1 .0305E 00 4.5977E-06 1 . 0 1 9 7 ~ 00 2 . 2 5 8 0 ~ - 0 6

1 .0384E 00 1 .0481E-05 1 .0384E 00 1.002OE-06

1.0446E 00 9 .4640E-06 1 .04988 00 1.1981E-05 1.0541E 00 1.4550E-05 1 .0610E 00 1 .9846E-05 1 .0664E 00 2 .5356E-05

1.0446E 00 2.3406E-05 1.0498E 00 2 .9771E-05 1.0541E 00 3 .6332E-05

1.0446E 00 l . 4 1 9 1 E - 0 5 1.0498E 00 1.8000E-05 1.0541E 00 2.1893E-05 1.061OE 00 2.9981E-05 1.0664E 00 3 .8458E-05

1.0159E 00 6 .1751E-05 1.0821E 00 9 .3077E-05 1.0900E 00 4.379ZE-04 1.0949E 00 2 .4658E-03 1 - 0 9 8 2 E 00 8 .03536-03

1.0498E 00 6 .4482E-06 1.0541E 00 7 . 8 l l l E - 0 6 l . 0 6 l O E 00 1.06OOE-05 1.0610E 00 5 .0074E-05

1.0664E 00 6 .4118E-05 1.0664E 00 1 .3469E-05

1.0759E 00 1 . 0 8 2 l E - 0 4 1.0821E 00 2.1164E-04 1.0900E 00 1 .7619E-03 1.0949E 00 8.172OE-03 1.0982E 00 2 .1463E-02

1.0759E 00 4 .0143E-05 1 .082 IE 00 5.7025E-05 I . 0 9 0 0 E 00 1.5019E-04 1.0949E 00 7 .8697E-04 1.0982E 00 3.0461E-03

1.1033E 00 2 . l l Z 9 E - 0 2 1.1062E 00 5.6697E-02 1.1094E 00 1.5284E-01 1.1112E 00 2 .5118E-01 1.1131E 00 4 .1298E-01

1.0759E 00 2.1005E-05 1.0821E 00 2 .9107E-05 1.090OE 00 4 .9319E-05 1.0949E 00 1 .2243E-04 1.0982E 00 4.8198E-04

1.1033E 00 7.9435E-02 1.1062E 00 1 .5351E-01 1.1094E 00 2 .9717E-01 I r l l l l E 00 4.1365E-01 l . l l 2 9 E 00 5 .7591E-01

1.1145E 00 7 .5059E-01 1.1153E 00 8.5692E-01 1.1157E 00 9 .1562E-01 1.116LE 00 9 . 7 8 3 4 1 - 0 1 1.1164E 00 I . 0 1 1 3 E 00

1 . l l 6 6 E 00 1 .0454E 00 1 . I l 6 7 E 00 1.0628E 00 1 . l l 6 7 E 00 1 .0735E 00 1.1168E 00 1.0818E 00 1.1169E 00 1 .0950E 00

1.1169E 00 l . lO6OE 00 1.1170E 00 1 .1096E 00 1.1170E 00 1.1115E 00 1.1170E 00 1.1126E 00 1.1170E 00 1 .1133E 00

1.1170E 00 1.1138E 00 1.1170E 00 1 .1142E 00 1.1170E 00 1 .1145E 00 1 .11701 00 I . l l 4 8 E 00 1.1170E 00 1 .1170E 00

1.1033E 00 4 .0947E-02 1.1062E 00 9.3289E-02 1 .L094E 00 2.1313E-01 I . l l l 2 E 00 3 . 2 2 3 5 E - 0 1 1.1131E 00 4 .87711-01

1 .1146E 00 6 .7938E-01 1 .1155E 00 8 .0188E-01 1.1159E 00 8 .7119E-01 1 .1163E 00 9 1 4 6 5 0 1 - 0 1 1 .1166E 00 9 1 8 6 5 6 8 - 0 1

1.1160E 00 1.0283E 00 1.1169E 00 1.0499E 00 1 .1170E 00 1 .0630E 00 1 .1171E 00 1 .0808E 00 L . 1 1 7 1 E 00 1 .0898E 00

1.1172E 00 1 .1034E 00 1.1172E 00 1 .1080E 00 1.1172E 00 1.1103E 00 1.1172E 00 1 .1117E 00 1 .1172E 00 1 . 1 1 2 6 E 00

1.1033E 00 5 .6617E-03 1.106ZE 00 2 .0965E-02 1.1095E 00 7.8596E-02 1.1113E 00 1 . 5 2 4 9 8 - 0 1 1.1132E 00 2 .9606E-01

1.1148E 00 5 .03578-01 1 - 1 1 5 7 E 00 6 .5682E-01 l . l l 6 2 E 00 7 .5014E-01 1.1166E 00 8 .5674E-01 I . l l 6 8 E 00 9 .1560E-01

1.1171E 00 9 .1850E-01 1 .1172E 00 1.OL15E 00 1.1173E 00 1.0319E 00 1.1174E 00 1.0597E 00 1.1174E 00 1.0739E 00

1.1147E 00 6.1487E-01 1 - 1 1 5 6 E 00 7.5031E-01 l . l l 6 O E 00 8 .2885E-01 l . l l 6 5 E 00 9 .1562E-01 L . l l 6 7 E 00 9 .6235E-01

l . l l 6 9 E 00 1.0115E 00 1 .1170E 00 1.0370E 00 1 .1171E 00 1 .0526E 00 1.1172E 00 1.0738E 00 l . l l 7 2 E 00 1 .0845E 00

1.1173E 00 1.1008E 00 1.1175E 00 1.0955E 00 1.117% 00 l . 1 0 2 8 E 00 i . i inE 00 i . i o 6 3 E 00

1.1174E 00 1.1091E 00 1 .1174E 00 1.1107E 00

1.1175E 00 1.1065E 00 1.1175E 00 1 .1087E 00 1.1175E 00 l .11OZE 00 1.1174E 00 I . l l l 8 E 00

1 .1172E 00 1.1133E 00 1.1174E 00 l . 1 1 2 6 E 00 1.1175E 00 1.1112E 00 1.1174E 00 1.1132E 00 1.1174E 00 1.1137E 00 I . 1 1 7 4 E 00 l . l l 4 1 E 00 1 .1174E 00 1.1174E 00

1.1175E 00 1.112OE 00 1.1175E 00 1.1126E 00 1.1176E 00 1.1131E 00 1.1176E 00 1.1176E 00

43

.. . ..

II I I I II

TAU = 75.00 TAU = 1 0 0 . 0 TAU - 200.0

X Y 1.0034E 00 2.8680E-09 1.0121E 00 1 . 4 6 8 7 E - 0 8 I .0197E 00 2.7223E-08 1 .0305E 00 5 . 9 7 9 3 E - 0 8 1 . 0 3 8 4 1 00 8 . 8 5 1 0 E - 0 8

OMEGA = 0.20 TAU - 50.00

2 0 . 0 1 0.05 0.10 0.20 0.30

0 . 4 0 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

1.50 10.00 15.00 20.00 30.00

50.00 15.00

1 0 0 . 0 0 150.00 2 0 0 . 0 0

300.00 400.00 500.00 1 5 0 . 0 0 1000.00

2 0 0 0 . 0 0 3000.00 4000.00 5000.00 6 0 0 0 . 0 0

70C0.00 80C0.00 9 0 0 0 . 0 0

1 0 0 0 0 . 0 0 I N F

X Y 1.0034E 00 7 . 8 3 2 9 E - 0 8 I . 0 1 2 1 E 00 3 . 9 5 6 3 E - 0 7 1 .0197E 00 7 .9859E-07 1.0305E 00 1.62OOE-06 1.0384E 00 2 .4578E-06

1.0034E 00 3 - 9 3 5 4 8 - 0 8 1.0121E 00 1 . 9 8 6 4 E - 0 7 1 .0197E 00 4.0070E-07 1.0305E 00 8.1177E-07 1.0384E 00 1 . 2 2 9 8 E - 0 6

1.0034E 00 2.3014E-08 1.0121E 00 1 . 1 5 5 4 E - 0 7 1 . 0 1 9 l E 00 2 .3318E-07 1 . 0 3 0 5 E 00 4 .7241E-07 1 . 0 3 8 4 1 00 1 . 1 5 6 1 1 - 0 7

1.0446E 00 9.6195E-07 1 .0498E 00 1 .2109E-06 1 .0541E 00 1.4622E-06

1.0446E 00 1 . 2 0 6 9 E - 0 7 1.0498E 00 1 . 5 8 1 7 E - 0 7 1.0541E 00 1.8008E-07

1 .0446E 00 3 .3091E-06 1 .0498E 00 4 . 1 7 2 3 1 - 0 6 1 .0541E 00 5 .0466E-06 1 .0610E 00 6 . 8 2 5 8 E - 0 6 i . O b i O E 00 i . v i o G e - 0 6

1 .0664E 00 2 .4867E-06

1 . 0 7 5 9 E 00 3 .8043E-06 1 .0821E 00 5 .1582E-06 1 .0900E 00 7.9703E-06 1 .0949E 00 1 . 0 9 2 3 E - 0 5 1 .0982E 00 1 .4029E-05

1.1033E 00 2.4404E-05

1.0610E 00 2.4719E-07 1.06648 00 2 . 9 9 2 9 E - 0 7 1 . 0 6 6 4 8 00 8.6439E-06

1.0759E 00 1 .3355E-05 1.0759E 00 6 . 5 5 r 7 E - 0 6 1.0759E 00 4 . 7 3 4 8 E - 0 7 1.0821E 00 6 . 3 8 9 8 E - 0 7 1.0900E 00 9 . 9 0 4 0 E - 0 7

1.0821E 00 1 . 8 3 l O E - 0 5 1.0900E 00 2.9146E-05 1 .0949E 00 4 . 5 6 8 8 E - 0 5

1.0821E 00 8.8996E-06 1.09OOE 00 1 . 3 1 9 8 8 - 0 5 1 . 0 9 4 9 1 00 I . 9 0 0 6 E - 0 5 1.09;9? 00 1 . 3 5 5 9 E - 0 6

1.0982E 00 1 .7409E-06

1.1033E 00 2 .7867E-06

i . 0 9 8 2 ~ 00 1 . 0 7 9 3 ~ - 0 4

1 .1033E 00 1 . 5 4 8 4 E - 0 3 l . l O 6 2 E 00 7 .7777E-03

1 . 0 9 8 2 8 00 2.4911E-05

1.1033E 00 9.2396E-05 1 .1062E 00 6 .8733E-04 1 .1095E 00 7 . 7 0 3 6 E - 0 3 1.1113E 00 2 .b603E-02

l . l O 6 2 E 00 8.4017E-05 1.1095E 00 1 .4929E-03 1 .1113E 00 1.6671E-03

1.1062E 00 3 .9724E-06 1.1095E 00 8 .1076E-06 1.1113E 00 6 .1900E-05

1.1095E 00 4 .0428E-02 1 . 1 1 1 3 E 00 9.2570E-02 L.1132E 00 2 . 1 2 2 3 E - 0 1

1 .1149E 00 4 . 1 2 3 9 E - 0 1 1 .1158E 00 5.7493E-01 1 .1162E 00 6 . 7 8 8 6 E - 0 1 1 .1167E 00 8 . 0 1 5 9 E - 0 1 1.1169E 00 8 . 7 1 0 5 E - 0 1

1.1172E 00 9 . 4 6 5 2 E - 0 1 1 .1173E 00 9 . 8 6 6 8 E - 0 1 1 . 1 1 7 4 f 00 1.011bE 00 1 . 1 1 7 5 E 00 1 .0458E 0 0 1 .1175E 00 1 .0633E 00

i . i i i 2 ~ 00 4 . 0 1 8 2 ~ - 0 2

1 .1149E 00 1 . 5 1 8 4 E - 0 1 1 . 1 1 5 9 E 00 2 . 9 5 3 4 E - 0 1

l . l l 3 2 E 00 1 . 4 5 1 5 E - 0 3

1.1149E 00 2 . 0 5 8 3 E - 0 2 1.1159E 00 7 .7898E-02

1 . l l 4 9 E 00 2 . 5 0 2 4 E - 0 1 1 .1158E 00 4 . 1 2 0 8 E - 0 1 1 .1163E 00 5 . 2 8 8 3 E - 0 1 I . 1 1 6 8 E 00 6 . 7 8 6 7 E - 0 1 1 .1170E 00 7 . 6 8 8 4 E - 0 1

1.1173E 00 8 . 1 0 9 9 E - 0 1 1 .1174E 00 9 . 2 7 0 5 E - 0 1 1 .1175E 00 9 . 6 2 4 O f - 0 1 1 .1176E 00 1 .0116E 00 1.1177E 00 I . 0 3 7 2 E 00

I . 1 1 6 3 E 00 4 . 1 1 9 3 E - 0 1 1 .1168E 00 5 .7456E-01 1 .1171E 00 6.7858E-01

1.1174E 00 8 .0143E-01 1 .1175E 00 8 . 7 0 9 6 E - 0 1 1 .1176E 00 9 .1555E-01 1.1177E 00 9 . 7 8 5 6 E - 0 1 1 . 1 1 7 7 E 00 1 .0117E 00

1.1178E 00 1 .0635E 00 1.1179E 00 1 .0813E 00 1 .1179E 00 1 .0904E 00

1.1164E 00 1 . 5 1 6 0 E - 0 1 1.1169E 00 2 . 9 5 0 6 E - 0 1 1.1172E 00 4 . 1 1 6 5 E - 0 1

l . 1 1 7 4 E 00 5 . 7 4 3 4 E - 0 1 I .1176E 00 6 . 7 8 4 0 E - 0 1 1.1177E 00 7 . 4 9 6 8 E - 0 1 1.1178E 00 8 . 5 6 5 1 E - 0 1 1.1178E 00 9 . 1 5 5 1 E - 0 1

1.1179E 00 1 .0117E 00 1.118OE 00 1.0460E 00 1.118OE 00 1.0635E 00

1 .1176E 00 1 .0902E 00 1 .1176E 00 1 .0992E 00 1.1176E 00 1 .1038E 00 1 .1176E 00 1 .1066E 00 i i i i 7 9 E 00 i.os&E 00

1.1179E 00 1.0995E 00

1 . 1 1 7 9 E 00 1 . 1 0 2 l E 00

1.118OE 00 1.0742E 00 1.118OE 00 1.0814E 00

l .118OE 00 1 .0866E 00

1 .1176E 00 1 .1084E 00

1 .1177E 00 1 .1097E 00

1 .1178E 00 1 .1040E 00

1.1178E 00 1 . 1 0 5 9 E 00 i . i L 7 7 ~ 00 L . i i o 7 ~ 00 1.1177E 00 1 .1115E 00 1.1177E 00 1 .1121E 00 1 .1177E 00 1 . 1 1 7 l E 00

1 .1178E 00 1 . 1 0 7 4 E 0 0 1 .1178E 00 1 .1086E 00 1 .1178E 00 1 .1095E 00 1.1178E 00 I . l l l 8 E 00

1 .1179E 00 1. lO4OE 00 1.1179E 00 1 .1056E 00 1 .1179E 00 1.1068E 00

1.118OE 00 I . 0 9 0 4 E 00 1.118OE 00 1.0935E 00 1.118OE 00 1 .0959E 00

1 .1179E 00 l i 1 1 7 9 E 00 I .118OE 00 I .118OE 00

TAU = 2 2 6 . 9

1 1.0034E 00 1 . 8 1 3 8 8 - 0 9 l . O l 2 l E 00 8 . 0 4 2 9 E - 0 9 1 .0197E 00 l . 6 4 6 3 E - 0 8 1 .0305E 00 3 .3519E-06 1 .0384E 00 5 .0849E-08

1 .0446E 00 6 .8399E-08 1 .0498E 00 8 .6136E-08 1 . 0 5 4 1 E 00 1.04OCf-07

0.01 0.05 0.10 0.20 0.30

0.40 0.50 0 .60 0.80 i i 0 6 i o E 00 i ; 4 0 2 6 E - 0 7

1.C664E 00 1 . 7 7 0 0 E - 0 7

1.0159E 00 2 .7081E-01

1.00

1 . 5 0 2.00 3.00 4.00 5.00

1 . 5 0 10.00 15.00 20.00 30.00

50.00 15.00

100.00

l . 0 8 2 1 E 00 3 .6718E-07 1.0900E 00 5 .6718E-07 1 .0949E 00 7 .7690E-01 1 .0982E 00 9 . 9 6 7 3 E - 0 7

1 .1033E 00 1 .5947E-06 1 .1062E 00 2.272OE-06 1 . t 0 9 5 E 00 4 .2399E-06 1 .1113E 00 1 .9526E-05 1 .1132E 00 5 .9107E-04

1.1149E 00 1 .2034E-02 1 .1159E 00 5 .4456E-02 1 .1164E 00 1 . 1 5 9 0 E - 0 1 1 .1169E 00 2 .4669E-01 1 .1172E 00 3 . 5 9 9 3 E - 0 1

1 .1174E 00 5 . 2 5 1 6 E - 0 1 1 .1176E 00 6 . 3 4 3 5 E - 0 1 l . l l 7 7 E 00 7 . 1 0 4 8 E - 0 1

1 5 0 . 0 0 200.00

300.00 r 0 0 . 0 0 500.00 1 5 0 . 0 0

1 0 0 0 . 0 0

.... . ~~ ~ ~ ~

l . l I 1 8 E 00 8 - 2 6 3 9 8 - 0 1 1.1178E 00 8 . 9 1 2 5 E - 0 1

1 .1179E 00 9 . 9 8 2 Z E - 0 1 2000.00 3000.00 1.118OE 00 1 .0367E 00

1.118OE 00 1 .0564E 00 I . l l 8 O E 00 1 .0685E 00

40C0.00 5000.00 bOOO.OO

7 0 0 0 . 0 0 80C0.00 9000.00 10000.00

I N F

i;iiaOE 00 1 . 0 7 6 6 ~ 00

l . l l 8 O E 00 1.0824E 00 l .118OE 00 1 .0868E 00 l . l l 8 O E 00 1 .0902E 00 l . t l 8 O E 00 1 .0930E 00 l .118OE 00 1 .1180E 00

44

TAU = 0.100

x 1

TAU = 0.200

X " TAU - 0.300

X Y

OMCGA = 0.30 TAU = 0.050

I 0.01 0 . 0 5 0.10 0.20 0.30

0.40 0 . 5 0 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 15.00

100.00 1 5 0 . 0 0 200.00

300.00 400.00 500.00 750.00 1000.00

2000 .00 3000.00 4000.00 5000.00 6000 .00

1000 .00 8000.00 9000.00

10000.00 I N F

x Y 1.0051E 00 9 . 9 2 1 7 1 - 0 3 1.0135E 00 3 .7983E-01 !.Ol63E 00 6 . 2 i 8 7 E - 0 1 . .O18lE 00 1 . 9 6 3 2 E - 0 1 1.OL87E 00 8 . 6 4 8 2 E - 0 1

1.0191E 00 9 .012bE-01 1.0193E 00 9 .2386E-01 1.0194E 00 9 .3924E-01 1.0196E 00 9 . 5 8 8 4 1 - 0 1 1.0191E 00 9.1079E-01

1.0198E 00 9 .8696E-01 i . 0 1 9 9 E 00 9 .9515E-01 1.02OOE 00 1.0034E 00 1.OZOOE 00 1.0076E 00 1.0200E 00 1.OLOlE 00

I .02OLE 00 1 .0134E 00 1.0201E 00 1 . 0 1 5 1 E 00 1.0201E 00 1 .0168E 00 1.0201E 00 1.0176E 00 L.0201E 00 1.0184E 00

1.0201E 00 1 .0191E 00 I.OZO1E 00 I . 0 1 9 4 E 00 1.0201E 00 1 .019bE 00 1.OZOlE 00 1 .0198E 00 1.0201E 00 1.0199E 00

I . 0 0 5 1 E 00 2 .4265E-03 I . 0 1 6 1 E 00 1.4713E-01 1 .0221E 00 3 .8129E-01 1.0212E 00 6 .31628-01 1 .0290E 00 7 .4400E-01

1 . 0 2 9 9 ~ 00 B . O T ~ ~ E - O ~ 1.0305E 00 8 .4832E-01 1 .0310E 00 8.7663E-01

l . O O 5 2 E 00 1.1075E-03 L.OL8LE 00 2.8058E-02 1.0271E 00 1 .5465E-01

I . 0052E 00 1 . 3 3 6 4 8 - 0 3 L.OL84E 00 9.9974E-03 1.0292E 00 6 .6214E-02

1 .0310E 00 3.9855E-01 1 .041kE 00 5 .4992E-01

l . 0 4 1 8 E 00 2 .5358E-01 1.0484E 00 4 .0695E-01

1.0440E 00 b .4650E-01 1.0456E 00 7 .1258E-01 1 . 0 4 6 8 1 00 7 .6041E-01 1.0483E 00 8.2482E-01 1.0492E 00 8 .6609E-01

1.0505E 00 9 . 2 4 4 l E - 0 1 1.0512E 00 9 .5504E-01 1.0519E 00 9 1 8 6 7 1 1 - 0 1 1 . 0 5 2 2 E 00 1.0029E 00 1 .0524E 00 1.0128E 00

1.0525E 00 5 .1100E-01 1.0552E 00 5 .9128E-01 L.0571E 00 6 .5780E-01

1.0315E 00 9 .13378-01 I . 0 3 1 8 E 00 9 .3615E-01

1.0591E 00 1 .4235E-01 1.06lGE 00 7 .98338-01

1 .0323E 00 9 .6143E-01 1 .0325E 00 9 .8346E-01 1.0321E 00 9 .99751-01 l . 0 3 2 8 E 00 L.OO0OE 00 1.0329E 00 1 .0130E 00

1.0637E 00 8 .7972E-01 1.0649E 00 9 .2354E-01 1.0662E 00 9 .6958E-01 1 .06681 00 9 .9346E-01 1.0672E 00 L.OO8IE 00

1.0617E 00 1.0279E 00 i.068OE 00 1.0380E 00 I .0602E 00 1.0481E 00 1.0684E 00 1.0533E 00 1.06858 00 1.058kE 00

1 .0330E 00 1.0197E 00 1.0330E 00 1.0230E 00 1 . 0 3 3 L E 00 1.0264E 00 1.0331E 00 1 .0281E 00 1.0331E 00 1 .0298E 00

1 .0331E 00 1.0311E 00 1.0332E 00 I . 0 3 1 8 E 00 1 .0332E 00 L.0322E 00 1 .0332E 00 1.0325E 00 l . 0 3 3 2 E 00 1 .03278 00

1.0521E 00 1 .0261E 00 1.0528E 00 1.0328E 00 1.053OE 00 1.0396E 00 1.053OE 00 1.0430E 00 1.0531E 00 1.0464E 00

1.0532E 00 1.0491E 00 1.053ZE 00 1.0505E 00 1.0532E 00 1.0512E 00 1 . 0 5 3 Z E 00 I .0519E 00 1.0532E 00 1.0522E 00

1.0532E 00 1.0526E 00

l.Ob86E 00 l .Ob25E 00 l . O b 8 l E 00 1.0646E 00

1.0687E 00 1 . 0 6 6 l E 00 l.Ob87E 00 1.0612E 00

l .Ob87E 00 1.0677E 00 l . 0 6 8 8 E 00 1.068OE 00 1.0688E 00 1.0682E 00 l .Ob88E 00 1 .0684E 00 ! . O b 8 8 E 00 1.0685E 00

I.Ob8BE 00 1.0686E 00 1.0688E 00 1.0687E 00 l.Ob88E 00 1.0687E 00 1.Ob88E 00 L.Ob87E 00 1.0688E 00 1.0687E 00

i . 0 6 ~ 7 ~ 00 1 . 0 6 5 7 ~ 00

1 .02OIE 00 1.0199E 00 1.0201E 00 1.0200E 00 1 .0201E 00 1.02OOE 00 1 .02OlE 00 1.0200E 00 l.OZO1E 00 l . O Z O 1 E 00

1 .0201E 00 1.0201E 00

1.0332E 0 0 I . 0 3 2 8 E 00 1.0332E 00 1 .0329E 00 1.0332E 0 0 1 .0330E 00 1.0332E 00 1 .0330E 00 1.033ZE 00 I . 0 3 3 1 E 00

1.0332E 00 1.0331E 00

i.0iiiE 00 i . 0 5 i i a 00 1.0533E 00 1.0529E 00 1.0533E 00 1.053OE 00 1.0533E 00 1.0531E 00

1 .0533E 00 1.0532E 00 l . 0 2 0 1 E 00 1.OZOIE 00 I .OZO1E 00 1.OZOlE 00 1.0201E 00 1 .02OlE 00

1.0332E 0 0 1.0331E 00 1 . 0 3 3 2 E 00 1.033LE 0 0 1.0332E 00 1.0331E 00

1.0533E 00 1.0532E 00 1.0533E 00 1.0532E 00 1.0533E 00 1.0532E 00 1.0533E 00 1.0532E 00 1.0201E 00 1.0201E 00 1 .0332E 00 1.0332E 00

1 .02OlE 00 1 . O Z O I E 00 1 . 0 3 3 2 E 00 1.0332E 00 1.0533E 00 1.0532E 00 1.0533E 00 1.0532E 00 1.0533E 00 1.0532E 00 1.0533E 00 1.0532E 00 1.0533E 00 1.0533E 00

1.0688E 00 1 .0687E 00 l .Ob88E 00 1.0687E 00 1 .0688E 00 l .Ob87E 00

1.02OLE 00 1.OZOIE 00 1 .0201E 00 1.0201F 00 1.0201E 00 1 .0201E 00

1.0332E 00 1.0332E 00 1.0332E 00 1 .0332E 00 1.0332E 00 1 .0332E 00 1 . 0 3 3 2 E 0 0 1 .0332E 00

1.0688E 00 1 . 0 6 8 7 8 00 1.068BE 00 1 .0688E 00 1.0201E 00 1.OZOlE 00

TA TAl 0.600 TAU = 0. aoo u = 0.400 TAU I 0.500 J =

z 0 .01 0 . 0 5 0.1C 0.20 0.30

X 1.0052E 1.0185E 1 .0298E 1.0442E 1.0526E

1 .0580E L.Ob17E 1.0644E l . O b 8 l E 1 .0704E

Y 1 .095LE-03 6 .3832E-03 3 .190kE-02 1.6340E-01 3 .0206E-01

Y 9.2190E-04 5.0132E-03 1. 804OE-02 1.071ZE-01 2.251 9E-0 1

X 1.0052E 1 .0185E 1.030LE 1.04b2E 1.0568E

Y 1 .8943E-04 4.2112E-03 l . 2 0 0 8 E - 0 2 1.1804E-02 1.6883E-01

X 1.0052E 00 l . O I 8 6 E 00 1.0303E 00 1.0469E 00 1 .058bE 00

00 00 00 00 00

00 00 00 00 00

00 00 00 00 00

5 .9835E-04 3 .2065E-03 7 .3165E-03 3 .5138E-02 9 .b935E-02

1.0610E 00 1 . 1 2 4 2 E - 0 1 1.0734E 00 2.4718E-01

3 . i 5 7 6 E - 0 1 4 . 3 0 6 9 E - 0 1 5 .L988E-01

00 10 00 00 00

00 00 00

00 00

00 00 00 00 00

00 00 00 00 00

00 00

00 00 00

00 00 00 00 00

00 00 00 00 00

00 00 00 00 00

0.40 0.50 0.60

1.00 o.no

4 . 1 3 5 1 E - 0 1 5 .0028E-01 5 .6830E-01 b e b b 8 B E - 0 1 1 .3+29E-01

3 .3128E-01 6.1904E-0 1 4 .9068E-01

6. 7 4 4 3E -0 1 5. 9 8 3 9 ~ - 0 1

1.0641E 1.0694E 1.0734E 1.0790E 1.0828E

2 .6583E-01 3 . 5 1 1 4 F - 0 1 4 .2358E-01 5 .3652E-01 b .1883E-01

1.0184E 00 1.0855E 00 1.0904E 00

1.50 2.00 3.00 4.00 5 .00

7.50 10.00 15.00 20.00 30.00

50.00

1 .0738E 1.0156E 1 .0115E 1 . 0 7 8 4 8 1 .0790E

8.351 b E - 0 1 11.9019E-01 9 .5020E-01 9 .8141E-01 1.000bE 00

L .0269E 00

1 . 0 8 1 R E 00 1 .0842E 00 1 . 0 8 6 7 ~ 00 i . o a a o E 00 1 . 0 8 8 8 E 00

7 .9152E-0 1 8 .5168E-01 9.2950E-01 9. b l b 8 E - 0 1 9.91 3 5 E-01

1.0238E 00

1.0882E 1.0912E 1.0944E I . 0 9 6 0 E 1.0910E

I.0984E

7 .4924E-01 8 .2411F-01 9 .07982-01 9 .5279E-01 9 .8016E-01

1,09788 00 1.1019E 00 I.lOb4E 00 1.1087E 00 1.1101E 00

6 .6947F-01 i ; i o z 7 E - o i 8 .637bE-01 9 . 2 0 8 1 E - 0 1 9 . 5 6 8 8 E - 0 1

1.0012E 00 1 . 0 3 3 4 6 00 1 .0603E 00 1.0740E 00 1.0819E 00

1.0991E 00 I .LO48E 00 1.1076E 00 1.1105E 00 1.1119E 00

1.1134E 00 1 .1141E 00 1.1145E 00 I . 1 1 5 1 E 0 0 1.1154E 00

1.1158E 00 1.1159E 00 1.1160E 00 1.1161E 00 1 . 1 1 6 l E 00

l . l l 6 l E 00 I . 1 1 6 1 E 00 l.llblE 00 1.1161E 00 1.1162E 00

1.0798E 1.0899E 00 00 L.0194E 00 1.0392E 00 1 .05951 00 L.Ob98E 00 I .0802E 00

I .OB8bE 00 1.09288 00 L.0949E 00 1.0970E 00 1.0981E 00

1.0991E 00 1 . 0 9 9 7 1 00 1.1000E 00 1.1004E 00 1.1006E 00

1 . l O l O E 00 1 . I O l l E 00 1 .1011E 00 l . I G 1 1 E 00 1.1012E 00

1.1012E 00 1.1012E 00 1.1012E 00 l . l O l 2 E 00 1.1013E 00

1.1121E '30 1.1131E OG 1.1141E 00 L.1146E 00 i . 1 1 5 2 E 00

1.1156E 00 1 .1158E 00 1.1159E 00 1 . l l b O E 00 1.1161E 00

l . l L b l E 00 l . l l 6 1 E 00 1.116ZE 00 L . l l 6 2 E 00 1 . l l 6 2 E 00

1.1162E 00 1.1162E 00 l . l l 6 2 E 00 l . l l 6 2 E 00 1.1162E 00

1 . i 162E 00 1.1162E 00 1.1162E 00 1.1162E 00 i . l l b 2 E 00

1.OLOZE 00 1 . 0 5 3 8 E 00 1.060bE 00

1.0904E 00 1 .0910E 00 1.0913E 00

1.0405E 00 1 .0574E 00 l . 0 6 6 O E 00

00 00 00

1.0810E

1 . 0 8 1 2 E

L . O b l 5 E 00 1 .0915E 00

1 .09LBE 00

1 .0746E 00

1.0816E 00

1.1005E 00

1.0731E 00 1.1008E 00 00 00 00 00

15.00 100.00 150.00

1.0813E 1.0813E 1 .0814E

1.0159E 00 L.0172E 00 1.0786E 00

1 .0919E 00 1.0919E 00 I . 0 9 2 0 E 00

L.0851E 00 1 .0868E 00 1 .088bE 00

1 . lO lOE 1 . l O l l E 1 . l O l l E 1.1012E 200.00 1.0814E 1.0193E 00 1 .0920E 00 1 .0895E 00

300.0C 400.00 500.00 750.00 1000.00

l.08OOE 00 L.0804E 00 l . 0 8 0 6 E 00 L.0809E 00 1.081OE 00

1 .0812E 00 1 .0813E 00 L .0813E 00

l . 0 8 1 4 E 00 i . 0 8 1 4 ~ 00

1 .0921E 00 L.0921E 00 1.0921E 00 1.092LE 00 1 .0921E 00

1 . O P Z l E 00 1 .0921E 00 1 .0921E 0 0 1 .0921E 0 0 L.OI21E 00

1 . 0 9 2 l E 00 1.0921E 00 1.0921E 00 1.0921E 00 1 .0921E 00

1.0903E 00 L.0908E 00 1 .0911E 00 I . 0 9 1 k E 00 1 .0916E 00

1 .0918E 00 1 .0919E 00 1.092OE 00 1.0920E 00 1.0920E 00

1.1012E l . l O 1 2 E 1 . l O l Z E 1.1012E 1.1013E

00 00 00 00 00

00 00 00 00 00

2000.00 3000.00 4000.00 5000 .00 6000 .00

7000 .00 5000.00 9000.00 10000.00

I N F

1.0814E 1 . 0 8 L l E 1.OB14E 1 .0814E 1.0814E

1.0814E 1.0814E 1.0814E

1.0814E I.OBI~E

1. L 0 1 3 E 1.1013E 1.1013E 1 . IOL3E 1.1013E

1.081kE 00 1 .0814E 00 1.081-E 00 1 .0814E 00 1 .0814E 00

1.1013E 1.1013E 1.1013E 1.1013E I . 1 0 1 3 E

00 00 00 00 00

45

I I I 111 II 111 I I I 11.11 111111111111 11111 111 I111111 111 .1.1...-

TAU = 1.000

X V 1.0053E 00 4.6134E-04 1 .0186E 00 2.4895E-03 I . 0 3 0 3 E 00 5 1 4 5 2 8 1 - 0 3 1.0472E 00 1 .9670E-02 1 .0594E 00 5 .7695E-02

TAU = 1.500

X V 1.C053E 00 2.7348E-04 1 .0187E 00 1.4440E-03 1.0304E 00 3.0905E-03 1 .0414E 00 1.7406E-03 1.0600E 00 1.9314E-02

1.0698E 00 4.2645E-02 1.0118E 00 7 .5818E-02

TAU = 2.000

X V 1.0053E 00 1 .724bE-04

TAU = 2.500

X V 1.0053E 00 1.1448E-04 1 .01b lE 00 5.9901E-04 1.0304E 00 1 .2b47E-03 1.0475E 00 2 .8346E-03 l . O t 0 2 E 00 5 .0714E-03

1.0702E 00 9 .3678E-03 1.0185E 00 1 .1438E-02

OMEGA = 0.30

I 0.01 0.05 0.10 0.20 0.3G

1 . 0 1 8 l E 00 9.0581E-04 1 .0304E 00 I . 9 i 3 2 E - 0 3 1.0415E 00 4 .41bbE-03 1.0601E 00 8.8697E-03

1 .0701E 00 1 .8418E-02 1 .0783E 00 3 .4941E-02 1.0852E 00 5 .1bZ lE -02 1 .0961E 00 1 .1kVbE-01 1.1042E 00 1 .7857E-01

0.40 0.50 0.60 0.80 1 .CC

1.0685E 00 1.1322E-01 1.0756E 00 1 .7482E-01 1.0812E 00 2 .35738-01 1 .0896E 00 3 . 4 5 3 l E - 0 1 1.0054E 00 4 .3590E-01

1.1044E 00 5 .9659E-01 1.1095E 00 b .9884F-01 I . 1 1 5 L E 00 8 .1921E-01 L . l l 8 1 E 00 8 .8118E-01 1.1199E 00 9 .3012E-01

1 .L225E 00 9 .9219E-01 1.123f iE 00 1.0245E 00 1.L251E 00 1.0578E 00

1.0843E 00 1 .149bE-01 1.0944E 00 1 .9882E-01 1 .1019E 00 2 .7932E-01

1.1131E 00 4.439GE-01 1 . 1 2 O l E 00 5 .6149E-01 1 .1281E 00 7 .L156E-01 1.1331E 00 8 .0152E-01 1.1358E 00 8 .6 lOZE-01

1 .1391E 00 9 . 4 1 4 l E - 0 1 1 .141 lE 00 9 . 9 3 9 l E - 0 1 1.1431E 00 1.0428E 00

1.0855E 00 3 .0021E-02 1 . 0 9 6 l E 00 b .703bE-02 1.1052E 00 1 .1425E-01

1.1198E 00 2 .4LbbE-01 1.1290E 00 3 .5568E-01 1.139bE 00 5 . 2 6 5 3 E - 0 1 I .146OE 00 6 .411bE-01 1.150OE 00 7 .2302E-01

I . 1 5 5 7 E 00 8 . 4 8 0 4 1 - 0 1 1.1587E 00 9 . lR62E-01 1 . l b l B E 00 9.952OE-01 1.1634E 00 1.0359E 00 1.L651E 00 1 .0183L 00

1.1664E 00 1.1135E 00 1.1671E 00 1.1315E 00 1.1b15E 00 1.1401E 00 l . l b l 8 E 00 1.1499E 00 l . l b8OE 00 1.1545E OC

1 . 5 0 2.00 3 .00 4.00 5-00

1.1178E 00 3 .2813E-01 1.1262E 00 4.G187E-01 1.1358E 00 6 .1346E-01 L.1413E 00 7 . 1 b 7 l E - 0 1 1 . 1 4 4 l E 00 7 .9070E-01

1 . i 4 9 6 E 00 0 .9823E-01 l . 1 5 2 2 E 00 9 .5149E-01 1.1548E 00 1.OZOBE 00 1.1562E 00 1.054OE 00 1.1576E 00 1.0883E 00

1 . 1 5 n l E 00 1.1166E 00 1.1592E 00 1.1310E 00 1.1595E 00 1.1383E 00

7.50 10.00 15.00 20.00 30.00

~ ~~ ~~

1 .1258E 00 1.0149E 00 1.1265E 00 1 . 0 9 i 3 E 00

1.1448E 00 1 . 0 6 8 l E 00 1 . 1 4 5 8 ~ 00 1 . 0 9 4 1 ~ 00

50 .00 1 5 . 0 0

100.00

l . l Z l 1 E 00 1.1064E 00 1.1213E 00 1 . 1 1 3 5 f 00 1.1275E 00 1.1171E 00 L.1216E 00 1 . l Z O l E 00 L.1217E 00 1 .1225E 00

1 . 1 4 b l E 0 0 1 .1153E 00 1.141LE 00 1 . 1 2 6 l E 00 1.1413E 00 1 . 1 3 L S E 00

1 5 0 . 0 0 200.00

300.00

1.1415E 00 1.1370E 0 0 1.1471E 00 1 . 1 3 9 l E 0 0

1.1418E 00 1.1425E 00

1.1598E 00 l . l + 5 b E 00 1.16OOE 00 1 .1493E 00

1.1601E 00 1.1530E 00 1 . 1 2 1 l E 00 l . 1 2 4 3 E 00 1 .160 lE 00 1 . 1 5 9 l E 00 400.00 5C0.00 150 .00

1.1602E 00 1 . 1 5 4 8 f 00 1 .1602E 00 1 .L559E 00 1 .1603L 00 1 .1514E 00

I . 1 6 8 2 E 00 1 . l b 1 5 E 00 1.1683E 00 l . l b 2 9 E 00 l . l b 8 3 E 00 1 .1647E 00

1.1418E 00 1.1*39E 00 1.1419E 00 1 .1441E 00

.. 1000.00 1 . 1 6 0 3 ~ 00 1 . i s a z ~ 00

1 .1603E 00 1.1593E 00 1 .1604E 00 1 .1596E 00

L . l b 8 4 E 00 1.1651E 00

2000.00 3000.00

1 .1219E 00 1 .1213E 00 1.1219E 00 1 .1215E 00 1.1279E 00 1.1216E 00 1.1279E 00 1 .1217E 00 l . l Z 7 9 E 00 1 .1217E 00

1.148OE 00 1.1412E 00 1.1480E 00 1 .1414E 00

1.1684E 00 1 .1611E 00 1.1684E 00 1.1615E 00

4000.00 5000 .00 6000.00

l . 1 4 8 0 E 00 1 .1416E 00 1.148OE 00 1.1477.6 00 1.1480E 00 1 .1417E 00

1.148OE 00 1 .1417E 00 1.1480E 0 0 1 .1418E 00 1.1480E 00 1 .1418E 00 1.1480E 00 1 .L478E 00 1.1480E 00 1 .1480E 00

1 . l b 0 4 E 00 1.1598E 00 1 .1604E 00 1 .1599E 00 l . l b 0 4 E 00 1.1600E 00

1 .1604E 00 1 . i bOLE 00 1 .1604E 00 1 .16OlE 00 1 .1bO4f 00 1 . 1 6 0 1 f 00 1 .1604L 00 1.16OZE 00 1.lbOL.E 00 1 .1604E 00

1.1685E 00 1.167RE 00 l .1685E 00 l . I b l 9 E 00 1.1685E 00 1.168OE 00

1 . 1 6 8 5 ~ 00 1 . 1 6 8 1 ~ 00 1.1685E 00 1 . 1 6 8 l E 00 1.1685E 00 1 . 1 6 M Z E 00 1.1685E 00 1.Lb82E 00 1.1605E 00 1.16R5E 00

70C0.00 80c0.00 90CO.00 L0000.00

I N F

L .1219E 00 1 . 1 2 l l E 00 1.1219E 00 1.1270E 00 1 .1219E 00 1 . 1 2 1 8 f 00

l . l Z l 9 E 00 1.1279E 00 1 . 1 2 1 9 ~ o o 1 . 1 2 1 a ~ 00

2 0.01

TAU = 3 . 0 0 0

X Y 1.0053E 00 7.912ZE-05 1.0187E 00 4 .1285F-04 1 .0304E 00 8 .6116E-04 1.0415E 00 1 .921CE-03 1.0602E 00 3 .2117E-03

TAU = 3.500

X Y 1.0053E 00 5 .6642E-05

T A U I 4.000

X V 1.0053E 00 4 .117 lE -05

TAU = 4.500

X V 1.0053E 00 3 .1652L-05 I . O l 8 l E 00 1.639OE-04 1.0304E 00 3 .4114E-04 1.0<75€ 00 7 .3161E-04

0.05 0.10 0.20 0.30

1 . 0 1 8 l E 00 2 1 9 4 6 3 6 - 0 4 1.0304E 00 6 .1699E-04 1.0475E 00 1 .3533E-03 1.0b02E 00 2 . 2 5 3 2 8 - 0 3

1 . 0 1 8 l E 00 2.1679E-04 1 .030sE 00 4.52>2E-04 1 . 0 4 7 5 ~ no 9 . 8 4 9 6 ~ - 0 4 i .06ozE 00 i . b 1 8 7 ~ - 0 3

1.0103E 00 2 .4348E-03 1 . 0 1 8 b f 00 3.1001E-03 1 .0851F 00 5 .8174E-03 1.0911E 00 1.4124E-02 1.106OE 00 3.0113E-02

0.40 0 . 5 0

1.0703E 00 5.455f iE-03 1.018bE 00 9 .9312E-03 1 .08562 00 I . 6 4 3 0 f - 0 2 1.0969E 00 3 .9619E-02 1.1051E 00 1 .3334E-02

1.1208E 00 1 . l l b C E - 0 1 1.1305E 00 2 .8168E-01 1.1421E 00 4 .5063E-01 1.1489E 00 5 .1141E-01 1.1533E 00 6 . 5 9 3 l E - O L

1.1596E 00 1 . 9 8 b l E - 0 1 1 . l b 2 9 E 00 8 . 1 9 1 4 E - 0 1 l . I b 6 5 E 00 9 .6197E-01

1.0703E 00 3 . 5 2 O O E - 0 3 1 .0186E 00 5 .1048E-03 1 .0851F 00 9.5264C-03 1.0910E 00 2 .3896E-02 1.1059E 00 4 .73248-02

1 1 1 2 1 3 E 00 1 .3039E-01 1 .1313E 00 2 . 2 2 6 l E - 0 1 1 .1435E 00 3 .8492E-01 1 .1501E 00 5 . 0 1 8 4 E - 0 1 1 1 1 5 5 4 E 00 b.OO25E-01

l . 1 6 2 1 E 00 1 .5082E-01 1 .1658E 00 8 .4003E-01 1 1 1 6 9 b E 00 9 . 4 0 0 4 8 - 0 1

1 .07U3 f 00 1 .1669E-03 1.0166E 00 2 .5612E-03 1.0d51E 00 3 .8556E-03 1.0971E 00 9 . 3 2 9 3 F - 0 3 1 . i 060E 00 Z.0214E-02

0.60 0.80 1.00

1.50 2.00 3.00

1.1216E 00 9 .5704E-02 1 .1310E 00 1 .1581E-01 1.1444E 00 3 . 2 b j b E - 0 1 1.1518E 00 4 .50771-01 1 .1561E 00 5 .4517E-01

1.1639E 00 7 .0510E-01 1.1678E 00 8.OIBOE-01 1 .1119E 00 9 .1199E-01

1.1211E 00 1 .0219E-02 1.1321E 00 1 . 3 8 7 1 E - 0 1 1.1449F 00 2.19RGE-01 1 .15 i6E 00 3 . 9 9 1 4 E - 0 1 1.1517E 00 4 . 9 5 R l E - 0 1

I . 1651E 00 b . b l b 5 E - 0 1 1.1692E 00 1 . 6 4 1 4 E - 0 1 1.1135E 00 8 . 8 4 1 l E - 0 1

4.00 5.00

1.50 10.00 15.00 20.00 30.00

50.00

1 .1683E 00 1 .0158E 00 1.1101E 00 1 .0659E 00

1.1117E 00 1.1019E 00

1 .1116E 0 0 9 .94508-01 1.1131E 00 1 .0522E 00

1 .L753E 00 1 . 1 0 0 l E 00

1.114OE 00 9.1273E-01 1.1162E 00 1.0376E 00

1.1180E 00 1.0926E 00

~~ ~ ~~ ~

1 .1757E 00 9.50BOE-01 1.1780E 00 1.0225E 00

1.1799E 10 1.0838E 00 75.00

100 .00 150.00 zco.00

1.1124E 00 1 .1295E 00 1.1128E 00 1 .1405E 00 1.L732E 00 1 .1515E 00 1.1134E 00 1 .1511 f 00

1 .116ZE 00 1 .1259E 00 1.1766E 00 1 .1381E 00 1 .1710E 00 L.151bE 0 0

1.1189E 00 1.1212E 00 1.1793E 00 1.1358E 00 1.L798E 00 1.150bE 00

1.1809E 00 1 .1159E O C 1. lM14E 00 1.1323E 00 1.1819E 00 1 .L489E 00 1.1f iZlE 00 1.1513E 00 1.1SOOE 00 1 . 1 5 8 l E 00

300.00 400.00 5CO.00 750.00 l000.00

2000.00 3000.00 4000.00 5000.00 6000.00

1 .1736E 00 1 .1621E 00 1.1737E 00 1 .1655E 00 1 .1138E 00 1 . l b l Z E 00 1 .1138E 00 1.1695E 00 1 .1739E 00 1 .110bF 00

I . 1 7 3 9 E 00 1 .1123E 00 1 .1740E 00 1 .1129E 00 1 .1140E 00 1 .1132E 00 1.114OE 00 1 .1133E 00 1 .1140E 00 1 .1134E 00

1.1115E 00 1 . 1 6 4 l E 00 1.1776E 00 l . l b 8 O E 00 1.1716E 00 1.1699E 00 1.1117E 00 1 .172bE 00 1 . 1 7 7 8 ~ 00 1 . 1 7 3 9 ~ 00

1.1803E 00 I . l b 5 6 E 00 1 .1804E 00 1.1693E 00 1 .1805E 00 1.111bE 00 1.18ObP 00 1 .1746E 00

1.1824E 00 1.1637E 00 1.1825E 00 1.1100E 00 I .182bE 00 l . l l Z 6 E 30 i . l B i 1 f 00 1 .1 lbOE 00 1.1827E 00 1.1111E 00

1.1M2RE 00 1.1803E 00 1.182dE 00 1.1811E 00 1 . 1 8 ~ 0 E 00 l . 1 8 l b E 00 1.1828E 00 l . 1 8 1 8 E 00 l . I M 2 8 E 00 1.1820E 00

I . l M 2 8 F 00 1 .1821E 00 l . I n r 8 E 00 l . 1 8 2 2 E 00 1.1829E 00 I .LB23E 00

1 .17781 00 1 .1159E 00 1.1719E 00 1 . l l b 6 E 00 1.1119E 00 1 .1164E 00 1.1119E 00 1.1111E 00 1.1119E 00 1 .1112E 00

1.1719E 00 1.1713E 00 1 .1779E 00 1 .1114E 00 1.1779E 00 1 .1115E 00

1 .18OlE 00 1 .1185E 00 1.1807E 00 1 . i 7 9 2 E 00 I . 1 8 0 l E 00 1.1196E 00 1 .1807E 00 1 .1198E 00 1.1807E 00 1.18COE 00

1 . 1 8 0 7 ~ o o i...01~ 00 1 . IBO lC 00 1 .180Z f 00 1 . 1 8 0 l E 00 1 .1802E 00

7000.00 8000.00 9000.00

1.1740E 00 1.1135E 00 1 .1740E 00 1 .173bE 00 1 .1140E 00 1 .173bE 00

100CO.OO INF

i.1740; 00 1 . 1 7 i G 00 1.1140E 00 1 .1740E 00

i . i i 7 9 ~ 00 1 . 1 7 7 5 ~ 00 1.1179E 00 1 .1119E 00

1 . 1 8 0 l E 00 1.1803E 00 1.1807E 00 L.1807E 00

46

TAU I 5.000

I Y

TAU = 1 .500

X Y

TAU = 10.00

X V

TAU = 15.00

X Y

O M E G A = P.30

L 0.01 0 . C 5 0.10 0.20 0.30

1 .0053E 00 2 . 4 5 5 9 E - 0 5 1 .0187E 00 1.2696E-04 1.0304E 00 2 .635 lE -04

1 .0053E 00 9 .1264E-06 1 . 0 1 8 l E 00 4 .68486-05 1 .0304E 00 9 . 6 3 9 8 E - 0 5

1.0053E 0 0 4.5842E-06 l . O l 8 l E 00 2.3449E-05 1.G304E 00 4.8022E-05

1.0053E 00 1 .19541-06 1.0187E 00 9 . 1 5 6 6 8 - 0 6 1.0304E 00 l . 8 6 6 8 E - 0 5 1.0475E 00 3 .8561E-05 1.0602E 00 5 .9507E-05

. ~~~ ~

1 . 0475E 00 5 .6658E-04 : .ObOZE 00 9 1 1 5 6 5 E - 0 4

1 .0475E 00 2 .0312E-04 1 .0602E 00 3 . 2 0 5 0 E - 0 4

1 .0703E 0 0 4 .5002E-04 1 .0186E 00 5 .9461E-04 1.0851E 00 1 .6172E-04 1.0971E 00 1 .2622E-03 1 .1061E 00 2 .3542E-03

1 . 0 4 7 5 1 00 1.0014E-04 1.0602E 00 1.5615E-04

1.0103E 00 2.1625E-04 L.0786E 0 0 2.8086E-04 1.0857E 00 3.5074E-04 1.0911E 00 5 .15168-04 l . l O 6 l E 0 0 1 .64288-04

1.1219E 00 2.91948-03 1.1326E 00 1.0573E-02 1.1461E 00 4.1384E-02 1.1544E 00 1 .0446E-01 1 .16OlE 00 1 .690LE-01

1.1687E 00 3.2215E-01 1.1135E 00 4 . 4 6 7 l E - 0 1 L.1788E 00 6.1901E-01 1.1816E 00 7 .2884E-01 1.1845E 00 8 .5830E-01

1.0703E 00 8 .146 lE -05 1.0186E 0 0 1.0445E-04 1.0851E 00 1.2850E-04 1.0911E 00 I . 8010E-04 1.1061E 00 2.3163E-04

0.40 0.50 0.60

1.00

1.50 2.00 3.00 4.00 5.00

0.80

1.0103E 00 1 .3284E-03 1 .0786E 00 l . 8 6 4 3 E - 0 3 1.0851E 00 2 .6753E-03

1 .L218E 00 5 .1665E-02 1.1323E 00 1 . 0 9 4 l E - 0 1 1.1453E 00 2 .3833E-01 1.1531E 00 3 .5427E-01 1.1583E 00 4.5015E-01

1.1219E 00 1 .1542E-02 1.1325E 00 3 .3526E-02 1 . 1 4 5 9 E 00 1 .0629E-01 l . 1542E 00 1 . 9 2 6 1 8 - 0 1 1 .15978 00 2.1630E-01

1.122OE 00 4 .1445E-04 1.1326E 00 1 .3625E-03 1.1461E 00 9 .6511E-03 1.1545E 00 3 .0182E-02 1.1602E 00 6 .3144E-02

1.1690E 00 1 .6686E-01 1.114OE 00 2 .1225E-01 1.1195E 00 4 .4494E-01 1.1825E 00 5 .6908E-01 1.1851E 00 1 .2807E-01

7.50 10.00 15.00 20.00 3 0 . 0 0

l . 1 6 6 0 E 00 6 . 2 0 5 4 E - 0 1 1.1702E 00 7 .2902E-01 1.1747E 00 8 .56776-01 1 . l l l O E 00 9 .2893E-01 1.1794E 00 1 .0072E 00

I . 1 8 1 4 E 00 1.0141E 00 1.1824E 00 1 .1101E 00 1.1829E 00 1.1282E 00 1 . 1 8 3 5 E 00 1 .1461E 00 1 .1831E 00 1.156OE 00

1 .1681E 00 4 . 4 8 2 4 E - 0 1 1 .1721E 00 5.7155E-01 1 .1717E 00 7 .2924E-01 1 .1803E 00 8 .2388E-01 1.1831E 00 9 .3092E-01

50.00 75.00

100 .00 150.00 200.00

300.00 4CO.00 500.00 150.00

1000 .00

1 .1854E 00 1 .0266E 00 1 .1865E 0 0 l . O l 8 O E 00 1 .1811E 00 1 . 1 0 4 l E 00 1 .1871E 00 1.1321E 00 1.188OE 00 1 .1461E 00

1.1883E 00 l . 1 6 0 2 E 00

1.1870E 00 9 .7835E-01 1.1882E 00 1.0446E 00 1.1889E 00 1.0194E 00 1.1895E 00 1.1153E 00 1.1899E 00 1 . 1 3 3 l E 00

1.1902E 00 1 . 1 5 2 5 E 00

L.1883E 00 8 .8685E-01 1.1891E 00 9 .1884E-01 1.1904E 00 1.0284E 00 1.1911E 00 1 .0804E 00 1 .1915E 00 1.1074E 00

1.1918E 00 1.1351E 00 1.184OE 00 1.1654E 00 1.1841E 00 1 .1702E 00 1.1842E 00 1.113OF 00 1.1843E 00 L . l l b 8 E 00 1.1843E 00 1.1788E 00

~~ ~ ~~

1 . L885E 00 l . 1 6 7 3 E 00 1 .1886E 00 l . l l l 6 E 00 1 .1887E 00 L .1173E 00

I . 1920E 00 I .1492E 00 1.19PIE 00 1.1571E 00 1 . 1 9 2 3 E 00 1.1692E 00 1.1923E 00 L .1750E 00

7oco.co 1 .1844E 00 1 .1816E 00 1 .1844E 00 1 . 1 8 ~ b E 00 l . l t 1 4 5 E 00 1.1831E 00 1.1845E 00 1 .1833E 00 1 .1845E 00 1.1835C 00

1.1845E 00 1.1831E 00 1 .1845E 00 1.1838E 00 1 .1845E 00 1.1839E 00 1 .1845E 90 1 . 1 8 3 9 E 00 l . l d 4 5 E 00 1.184,E 00

1.1907E 00 1.185OE 00 1.1908E 00 1 .1869E 00 1.1908E 00 L.1819E 00

I.1924E 00 1.1331E 0 0 1.1925E 00 1.1861E 00 1.1925E 00 1.188LE 00 1.L925E 00 1.1890E 00 1 .19 i5E 00 1.1896E 00

1.1925E 00 1.1900E 00 1.1925E 00 1.1903E 00 1.1925E 00 1.L906E 00 1.1925E 00 1.1408E 00 1.1925E 00 1.1925E 00

1.1089E 00 1.186OE 00 1.1889E 00 1 .1868E 00 1.188qE 00 I . 1 8 7 2 E 00 1 .1908E 00 1 .1885E 00

1.1908E 00 1.1689E 00 60C0.00

10CO.OO 1 .1889E 00 1.1811E 00 1 .1889E 00 1.1878E 00 1 .1889E 00 1.188OE 00 1 .1889E 00 1 . 1 8 8 I E 00 l . 1 8 8 9 E 00 1.1889E 00

1.1908E 00 1.1892E 00 1 . 1 9 0 8 E 00 l . 1 8 % € 00 1.1908E 00 1.1895E 00 1 .1908E 00 1.1897E 00 1.1908E 00 1.1908E 00

noCc.oo 9000 .00

10000 .00 I V F

I 0.01 0.05 0. LO 0.20 0.30

x V X Y 1 . 0 0 5 3 E 00 9 . 4 0 2 9 E - 0 1 1.0053E 00 5 .6614E-07 1 . O I 8 l E 00 4 . 7 8 5 7 E - O b 1 . 0 1 8 l E 00 2 .9217E-06 L.0304E 00 9 .7368E-06 1 .0304E 00 5 .9215E-06 1.0475E 00 2 .0026E-05 1.0415E 00 1 .2157E-05 1 .0602E 00 3 .0164E-05 1.06OZE 00 1 .8624E-05

X Y 1.0053E 00 2 .0823E-07 1.0187E 00 1 .0512E-06 1.0304E 00 2 .1443E-06 1.0415E 00 4 .3824E-06 1.06OZE 00 6 .688LE-06

1.0103E 00 9.0503E-06 1.0186E 00 1.1463E-05 1 .0857E 00 1 . 3 9 2 l E - 0 5 1.0911E 00 1 .8967E-05 1.1061E 00 2 . 4 1 l l E - 0 5

1.0053E 00 3.8400E-01 1.0187E 00 1 . 9 5 0 l E - 0 6 1.0304E 00 3.9611E-06 1.0475E 00 8 .1139E-06 1 .0602E 00 1 . 2 4 1 2 E - 0 5

0.40 0.50 0 . 6 0 O . 8 C 1.60

1.0703E 00 4 .1912E-05 1.0186E 00 5 .3457E-05 l .O t15 lE 00 6 .5396E-05 1.0911E 00 9 . 0 4 9 2 E - 0 5 l . l O 6 l E 00 1.1733E-O*

1.0103E 00 2 .5304E-05 1 + 0 1 8 6 € 00 3 . 2 1 8 5 E - 0 5 1 .0851E 00 3 . 9 2 5 1 E - 0 5 1.0971E 00 5 .3966E-05 1.1061E 00 6 . 9 4 5 1 E - 0 5 1 . l O 6 l E 00 4.5614E-05

1.1220E 00 7 r Z 7 2 3 E - 0 5 1.50 2.OP 3.00 4.00 5.00

1 .50

1.1220E 00 l . 9 6 1 4 E - 0 4 1.122OE 00 1 .12128-04 1.122CE 00 3 .7915E-05 ~ ~~~ ~~

1 .1326E 00 3 .4894E-04 1.1461E 00 2 .1532E-03 1 .1545E 00 9 . 2 L l l E - 0 3 1.1503E 00 2 .3678E-02

1 .1326E 00 1 . 6 6 6 4 E - 0 4 1 .1461E 00 5 .9719E-04 1 .1545E 00 2 .8696E-03

1.1326E 00 1.0347E-04 I .1461E 00 2 .3605E-04 1.1545E 00 9 .6964E-04

1.1326E 00 5 .2741E-05 1.1461E 00 8 .8513E-05 1.1545E 00 1 .8520E-04

1.1603E 00 8 .9678E-03 1.1603E 00 3.4645E-03

1.1691E 00 2.3012E-02

1 .1603E 00 5 .9648E-04

1 . l b91E 00 6 .2512E-03 1 .1691E 00 8 .6200E-02 1 .1691E 03 4 .4560E-02 10.00 15.00 20.00

1.1742E 00 1 . 6 5 7 1 E - 0 1 1 .1798E 00 3 .1945E-01 1.1E28E 00 4 . 4 3 8 1 E - 0 1

I . l l 4 2 E 00 1 .0084E-01 1 .1199E 00 2 .2926E-01 1 . L 8 3 O E 00 3 . 4 6 0 6 E - 0 1

1.1742E 00 6.1313E-02 1.1799E 00 I . 645OE-01 1.1831E 00 2 .6916E-01

1.1143E 00 2.2776E-02 1.1800E 00 8 .4690E-02 1.1831E 00 L .6387E-01

30.00

50.00

1 . 1 8 6 l E 00 6 .1700E-01 1.1863E 00 5 . 2 2 6 8 E - 0 1 1.18b4E 00 4 .4269E-01 1.1865E 00 3 .1748E-01

1.1889E 00 8 .0318E-01

1.1910E 00 9 . 1 8 9 6 E - 0 1 I . 1 9 1 8 E 00 1 .0451E 00 1.1922E 00 l . 0 8 0 8 E 00

1 . 1 9 0 3 ~ 00 9 . 1 6 4 5 E - o i 1 .1891E 00 1 .2116E-01 1 .1906E 00 8 .5771E-01 1 .1914E 00 9 .3164E-01 1 .1922E 00 1 .0119E 00 1 .1926E 00 1.0546E 00

1.1893E 00 6.5823E-01 1.1908E 00 8 . 0 i l l E - 0 1 1.1916E 00 8 . 8 6 k l E - 0 1

L.1895E 00 5 .3921E-01 1.1910E 00 1 .0282E-01 1.1918E 00 8.0243E-01 1.19271 00 9 . 1 6 1 l E - 0 1 1.1931E 00 9 .18968-01

15.00 100.00 150.00 200.00

1.1935E 00 1.0461E 00 1.1931E 00 I . 0 8 1 3 E 00 1.1938E 00 1.1030E 00 1.1940E 00 1.1321E 0 0 1.1941E 00 1 . 1 4 7 8 1 00

300.00 400.00 5C0.00 150 .00 1000.00

2oco . 00 3000.00 40C0.00 5000.00 6000 .00

7000.00 80c0.00 90C0.00

10000.00 I N F

1.1925E 00 1.1171E 00 1.1927E 00 1.1357E 00 1.1929E 00 1 .1410E 00 L.1930E 00 1 .1622E 00 1.1931E 00 1 .1699E 00

1 .1930E 00 1.0991E 00 L .L932E 00 1.lZZOE 00 1 .1933E 00 1 .1360E 00 1 .1934E 00 1 . 1 5 4 9 E 00 1 .1935E 00 1 .1645E O C

1 .1936E 00 1 .1190E 00 1 .1931E 00 l.lR39E 00 1 .1931E 00 1.1864E 00

I . 1 9 3 7 E 00 l . 1 8 8 8 E 00 1 . 1 9 3 7 ~ 00 i . i a i n E oo

1.1932E 00 1 .1816E 00 1 .1932E 00 1 .1855E 00 1.1933E 00 1 .1874E 00 1.1933E 00 1 . 1 8 8 6 1 00 1 . 1 9 3 3 8 00 1.1894E 00

1 .19398 00 1.1764E 00 1.1939E 00 1.L822E 00 I . 1 9 4 0 E 00 1.1852E 00 1.1940E 00 1.1869E 00 1.194OE 00 1 . 1 8 8 l E 00

1.1942E 00 1.1708E 00 1.1943E 00 1.1186E 00 1.1943E 00 1.1825E 00

1.1943E 00 1.1865E 00

1.1943E 00 1.1876E 00 1.1943E 00 1.1884E 00 1.1943E 00 1.1891E 00 1.1943E 00 1 .1896E 00 1.1944E 00 1.1944E 00

1 . 1 9 4 3 ~ oo 1 . 1 8 w E 00

1 , 1 9 3 3 1 00 1 .1899E 00 1.1933E 00 I . 1 9 0 4 E 00 1.1933E 00 1 .1901E 00 1.1933E 00 1.1910E 00 1 .1933E 00 1 .1933E 00

1 .1937E 00 1 .1895E 00 1 .1937E 00 1 . 1 9 0 1 E 00 1 .1931E 00 1 .1905E 00 1 .1931E 00 1.190RE 00 1 .1938E 00 1 . 1 9 3 8 8 00

1.1940E 00 1.1890E 00 1.194OE 00 1.1896E 00 1.194OE 00 1.1901E 00 1.194OE 00 1 .1905E 00

47

I I I I I 111111111.11 111111 II 11111111111 I 1 1111 .11111111111 . .1 --... .. -..-.. . _.....-

TAU = 50.00 T A U = 75.00 TAU I 100.0 TAU = 200.0

X Y 1 . 0 0 5 3 ~ 00 4 . 8 7 1 9 ~ - 0 9 l . 0 1 6 1 E 00 2 .5049E-08 L.0304E 00 5.0631E-08 1.0475E 00 1 .0315E-07 1.0602E 00 1 .5688E-07

OMEGA = 0.30

2 0.01 0.05 0.10 0.20 0.30

0.4C 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

X I 1.0053E 00 1 .3784E-07 1.0187E 00 6.8450E-07 1.1 1 .0415E 00 2.8kOZE-06 1 .0602E 00 4.3289E-06

1 .0703E 00 5 .8494E-06 1.0786E 00 7 .3913E-06 1.0857E 00 8.96968-06

X Y I.0053E 00 6.7857E-08 1 .0187E 00 3 .4413E-07 1.0304E 00 6 .9701E-07 1.0475E 00 1 .4204E-06 1.0602E 00 2.1614E-06

1.0703E 00 2.916OE-06

1.0857E 00 4 .4577E-06 1 . 0 7 8 6 ~ 00 3 . 6 6 1 9 ~ - 0 6

X 1

1.0187E 00 2 .0104E-07 1.0053~ 00 3.9089~-08

1 .0304E 00 4 . 0 4 3 3 8 - 0 1 1.0475E 00 8.2776E-07 1.0602E 00 1 .2573E-06

1 .0703E 00 1 .6974E-06 1 .0786E 00 2.1469E-06 1 .0851E 00 2 .5903E-06 1.0971E 00 3 .5092E-06 1 .1061E 00 4 .4224E-06

1.0703E CO 2 .1160E-07 1.0786E 00 2 .6715E-07 1.0857E 00 3 .2327E-07 1.0971E 00 4 .3743E-07 l . l O 6 l E 00 5 .5338E-07

. . .~~ ~ ~~ ~ ~ ~

1 . 0971E 00 l . 2 1 8 1 E - 0 5 1 .1061E 00 1 .5474E-05

I .122OE 00 2.4040E-05

1.0971E 00 6 .0344E-06 1.1061E 00 7 .6406E-06

1.122OE 00 R.5126E-07 1.1326E 00 1 .1581E-06 1.1461E 00 1 .1970E-06

1.122OE 00 1 .1767E-05 1.1326E 00 1 .6034E-05 1.1461E 00 2 .4975E-05 1.1545E 00 3 .4497E-05

1.122OE 00 6.8L77E-06 1 .1326E 00 9.2678E-06 1.1461E 00 1.4421E-05

i . 1 3 2 6 ~ 00 3 . 3 0 8 6 ~ - 0 5 1 . 1 4 6 l E 00 5.2879E-05 1.1545E 00 8.01CZE-05 1.1545E 00 1.9819E-05

1 .1603E 00 2.5503E-05 1.1545E 00 2 .4682E-06 L.L603E 00 3.1126E-06

1.1691E 00 5 .0906E-06

1 . 1 6 0 3 ~ 00 1 . 5 8 6 4 ~ - 0 ~

1.1691E 00 1 .7502E-03 1 .1743E 00 8 .4978E-03

l r 1 6 0 3 E 00 4.5060E-05

1.1691E 00 1.3025E-04 1 .1691E 00 4.3138E-05 1.1743E 00 1.1501E-04 1 . 1 8 O O E 00 1 .6489E-03 1 .1832E 00 8.2968E-03

1.1743E 00 7 .8694E-04 1.18OOE 00 8 .3629E-03 1.1832E 00 2.8669E-02

1.1743E 00 7 .2669E-06 1.1800E 00 1 . 4 5 7 4 E - 0 5 1.1832E 00 7 .4683E-05

I . 1 8 0 0 E 00 4 . 3 6 2 l E - 0 2 L.1131E 00 9 .9545E-02 l . 1 8 6 6 E 00 2.2765E-01

1.1896E 00 4 .4164E-01 1 . 1 9 1 l E 00 6 .1528E-01 1.1920E 00 7 .2626E-01 1.1928E 00 8 .5727E-01 1 .1932E 00 9.314OE-01

1.1937E 00 1.012OF 00 1 .1939E 00 1 .0548E 00 1.1940F 00 1.0814E 00 1.1942E 00 1.117YE 00 l.lY43E 00 1.1366E 00

1.1944E 00 1.1652E 00 1 .1945E 00 1.1749E 00 1.1945E 00 1 .1798E 00

1 .1866E 00 4.3117E-02

1 .1897E 00 1 .6272E-01

1.1866E 00 1 .5734E-03

1.1896E 00 2 . 6 8 0 9 E - 0 1 1.1913E 00 4.4110E-01

I . 1897E 00 2 .2083E-02 1.1913E 00 3 .1619E-01 1.1922E 00 4 .4082E-01 1.1931E CO C.14bZE-01 1.1936E 00 7 .2576E-01

1.1921E 00 5 .6585E-01 1.1930E 00 7 .2592E-01 1 .1934E 00 8 .2223E-01

1.1939E 00 9 .3131E-01 1.1941E 00 9 .9117E-01 1.1943E 00 1 .0289E 00 1 .1945E 00 1 .0d15E 00 1 . 1 9 4 6 ~ 00 i . i o a a E 00

1.1947E 00 1 .1510E 00 1.1948E 00 1 .1654E 00 1.1948E 00 1 .1727E 00 1.1948E 00 1 .1711E 00 1.1948E 00 1 .18OlE 00

1.1940E 00 8.5700E-01 1.1943E 00 9.3127E-01 1 .1944E 00 9 .7889E-01 1 .1946E 00 1 .0462E 00 1 .1947E 00 1 .0816F 00

1.1949E 00 1.1369E 00 1 .1949E 00 1.1559E 00 1 .1949E 00 1.1656E 00 1 .1949E 00 I . 1 7 1 4 E 00 1 .1950E 00 1.1753E 00

300.00 400.00 500.00 750.00 1000.00

2000.00 1.1950E 00 1.0816E 00 1.195LE 00 l . l l 8 2 E 00 1.1951E 00 1.1370E 00 I .1951E 00 1 .1484E 00 1.1951E 00 1.1561E 00

30C0.00 4000.00 5ooo.on 6000 .00

7000.00 8000.00

1.1945E 00 1 .1841E 00

1.1945E 00 1.1861E 00 1 .1948E 00 1 . 1 8 2 2 E 00 1.1950E 00 l . 1 7 M l E 00 1.1952E 00 I .1616E 00 1.1952E 00 1.1657E 0 0 1.1952E 00 1.1690E 00 1.1952E 00 1.1716E 00 1.1952E 00 1.1952E 00

1.1945E 00 1.1812E 00 1.1945E 00 l .188OE 00 1 .1945E 00 1.1886E 00

1.1948E 00 L .1837E 00 1.1948E 00 1 .1850E 00 1.1948E 00 3.1859E 00

1 .1950E 00 1.1802E 00 1.1950E 00 1 .1818E 00 1 . 1 9 5 0 E 00 1.1831E 00

9000 .00 1 0 0 C O . 00

INF 1 . 1 9 4 6 E 00 1.1946E 00 1 .1948E 00 1.1948E 00 1.1950E 00 1.1950E 00

TAU = 230.3

2 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

X Y 1.0053E 00 3.5059E-09 1.0187E 00 1.2333E-08 1 .0304E 00 2.6163E-08 I . 0 4 7 5 E 00 5 .4174F-08 1.0602E 00 8.2804E-08

1 .0103E 00 1 .1194E-01

1.0857E 00 1 .7141E-07 1 . 0 7 8 6 ~ 00 i . + 1 4 9 ~ - o i . ~ . ~ ~ ~ ~ ~ ~

L.OV71E 00 2 .3217E-07 1.1061E 00 2 . 9 4 0 l E - 0 7

1.122OE 00 4 .525ZE-07 1 . 1 3 2 6 ~ 00 6 . 1 5 9 3 ~ - 0 7 1.1461E 00 9.5605E-07 I . 1 5 4 5 E 00 1 .3134E-06 l . l b 0 3 E 00 1.6885E-06

7.50 10.00 15.00 20.00 30.00

1.1691E 00 2 .7097E-06 1.1743E 00 3.8612E-06 L.18OOE 00 6 .9109E-06 1.1832E 00 2 .26 iOE-05 1 .1866E 00 5.8054E-04

1 .1897E 00 1.2052E-02 1.1914E 00 5.57CZE-02 L.1922E 00 1 . 1 9 8 5 E - 0 1 1.1932E OC 2 .5793E-01 1.1937E 00 3 .7841E-01

1.1942E 00 5 .5520E-01 1.1944E 00 6 .7250E-01 1.1946E 00 7 . 5 4 4 1 E - 0 1 1.1948E 00 8 .7951E-01 1.1949E 00 9 .4960E-01

200.00

3CC.00 400.00 500.00 7 5 0 . 0 0

10c0 .00

2000.0@ 3000.00

1.1950E 10 1.0654E 00 I . 1 9 5 1 E 00 1 .1070E 00 1 e L 9 5 1 E 00 1.1284E 00 L.1951E 00 1 .1415E 00

4000.00 5000 .00 6 0 0 0 . 0 0

~~ ~

1 .1952E 00 1.1503E 00

I .1952E 00 1 .1566E 00 1.1952E 00 1 . l h 1 3 F 00

7000.00 aoco.oo 90C0.00

10000.00 I N F

1.1952E 00 1.1651E 00 1.1952E 00 I . 1 6 8 0 E 00 1.1952E 00 1 . 1 9 5 Z E 00

48

TAU = 0.100 TAU - 0.200 TAU = 0.300

X Y 1.0010E 00 1 . 8 4 B l E - 0 3 1.0250E 00 1 .2818E-02 1.03988 00 1 .2453E-02 1.0571E 00 2.6503E-01 1.0663E 00 4 .2159E-01

1.0119E 00 5 .3369E-01

OMEGA - 0.40 TAU = 0.050

L 0.01 0.05 0.10 0.20 0.30

0 . 4 0 0 . 5 0 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.60 20.00 30.00

50.00 15 .00

100.00 150.00 200.00

300.00 400.00 500 .00 750.00

10c0 .00

2 0 0 0 . 0 0 3000.00 4000.00 50CO.00 6000.00

1000 .00 80CO.00 9000 .00

1 0 0 0 0 . 0 0 INF

I 0.01 0.05 0.10 0.20 0 . 3 0

0.60 0 . 5 0 0.60 0.80 :.oo

1 .50 2 .00 3.00 4.00 5.00

1.50 10.00 15.00 20.00 30.00

50.00 75.00

100 .00 150 .00 200.00

300.00 400.00 500.00 750 .00 1000.00

2000.00 3OCO.00 4000.00 5000 .00 6000.00

1OCO.OO

9000.00 10000.00

I N F

8ooo.00

X Y 1.0069E 00 3 .2104E-03 1.0225E 00 1 .5210E-01 1.0306E 00 3 . 9 4 1 l E - 0 1 1.0367E 00 6 .4044E-G l 1 .0391E 00 1 .5365E-01

1.0404E 00 8 .1167E-01 1.0413E 00 8 .58706-01 1 .0418E 00 8 .8721E-01 1 .0425E 00 9.242OE-01 L.0430E 00 9 .4114E-01

X V I . 0 0 7 0 E 00 2 .33871-03 1.0246E 00 3.16481-02 1.0316E 00 1 . 6 1 7 l E - 0 1 1.0504E 00 4 .0912E-01 1 .0564E 00 5.6319E-01

1.0256E 00 9 .0710E-01 1.0259E 10 9.3039E-01 1.0261E 00 9 .4584E-01 1 .0263E 00 9 .65518-01 1 .0264E 00 9 .1151E-01

1 . 0 5 9 8 ~ 00 6.6102~-01 1.0621E 00 7.2792E-01 I .Ob37E 00 7.1633E-01 1.0651E 00 R.4151E-01 L.0610E 00 8 .832bE-01

1 . 0 7 5 6 ~ 00 6.1538E-01 1,0183E 00 b .1693E-01 1.0819E 00 1 .6288E-01 1.0842E 00 3.1976E-01

1 - 0 8 7 3 E 00 9 .0243E-01 1.02bhE 00 9 .9314E-01 1.0267E 00 1.002OE 00 I . 3 2 6 8 E 00 I . O l O 2 E 00 1.0269E 00 1.0144E 00 I .0269E 00 1.0169E 00

1.0269E 00 1.0203E 00

1 .0436E 00 9 .1862E-01 1 .0439E 00 9.9476E-01 1 .0442E 00 1 .0112E 00 1.0443E 00 1 .0195E 00 1 .0444E 00 1 .0245E 00

1.0445E 00 1 .0312E 00

l.Ob88E 00 9 .4225E-01 -....~~ 1.0691E oa 9 . 7 Z E - o i 1.0106E 00 1 .0053E 00 l . O l 1 1 E 00 1.0211E 00

1.0890E 00 9 .4692E-01 1.0901E 00 9.9366E-01 I . 0 9 1 6 E 00 1.0119E 00

i . o i i + E 00 1 . 0 3 1 6 ~ 00

1.0118E 00 1.0451E 00

1.0922E 00 1 . 0 3 2 7 1 00

1.0929E 00 1 .0529E 00 1.09328 00 1.0631E 00 1.0936E 00 1.0134E 00

1.0210E 00 i . 0 2 2 0 E 00 1.027OE 00 1 .0236E 00 1.027OE 00 1.0245E 00

1.0446E 00 1.034bE 00 1 . 0 4 4 l E 00 1 .0380E 00 1 . 0 4 4 7 E 00 1 . 0 3 9 l E 00 1.0938E 00 1.018bE 00

1 . 0 9 4 0 ~ 00 1 . 0 8 3 8 ~ 00 I . 0210E 00 1 .0253E 00 1 .0441E 00 1 .0414E 00

1.021OE 00 1.02bOE 00 1.044RE 00 1.0428E 00 1.0124E 00 l .Ob84E 00 1.094LE 00 1.080OE 00 1.0448E 00 1.0434E 0 0 1.0125E 00 1 .0698F 00 1.0942E 00 1.090LE 00 1 . 0 4 4 8 E 00 l r 0 4 3 8 E 00 1.0725E 00 1.0105E 00 1.0942E 00 I .0912E 00 l . 0 4 4 8 E 00 1 .0441E 00 1 .0725F 00 l .O l12E 00 1.0943E 00 1.0922E 00 1.0448E 00 1.0443E 00 1.0125E 00 I .0115E 00 1.0943E 00 1.0928E 00

1.021OE 00 1 .0263E 00 1.027OE 00 1 .0265E 00 1.021OE 00 lr02b7E 00 1 . 0 2 7 0 ~ 00 I . O Z ~ ~ E 00

1.0943E 00 1.0933E 00 1.0943E 00 1.0935E 00 1.0943E 00 1.0931E 00 1.0943E 00 1.0939E 00 1.0943E 00 1 .0940E 00

1 .0448E 00 1.0445E 00 l . 0 4 4 8 E 00 l r 0 4 4 5 E 00 1.0448E 00 1 .0446E 00 1 .0448E 00 1 .0441E 00 1 .0448E 00 L . 0 4 4 l E 00

1.027OE 00 1 .0210E 00 1.021OE 00 1 .0210E 00 1.0210E 00 l .027OE 00 1.0210E 10 1.027OE 00 1 .0210E 00 1.027OE 00

1 .0448E 00 1 . 0 4 4 l E 00 1.0448E 00 1.044RE 00 1 .0448E 00 L.0448E 00 1 .0448E 00 1.0443E 00 1 .0448E 00 1 .0448E 00

1 .0448E 00 I . 0 4 4 8 E 00

1.044RE 00 1 .0448E 00 l . 0 4 4 8 E 00 1 .0448E 00

1 . 0 4 4 8 ~ 00 L . O W B E 00

1 . 0 4 4 8 ~ 00 I.O+~BC 00

1.0943E 00 1.0942E 00 1 . 0 9 4 3 E 00 1 .0442E 00 1.0943E 00 1 .0943E 00 1.0943E 00 1.0943E 00 1.0943E 00 1.0943E 00

1.0943E 00 1.0943E 00 1.0943E 00 1 .0943E 00 1.0943E 00 1 .0943E 00 1.0943E 00 1.0943E 00 1.0943E 00 3 4 0 9 4 3 E 00

1.012SE 00 1.0125E 00 l . O l 2 5 E 00 1.0125E 00 1 .0725E 00 I . O l 2 5 E 00 1 .0125E 00 1.0125E 00 1 .0126E 00 1.0726E 00

T A U = 0.400 TAU = 0.500 TAU = 0.600

X r 1.0071E 00 1.1193E-03

TAU = 0.800

X V 1.0071E 00 8.6028E-04 1 .0254E 00 4.618bE-03 I . 0416E 00 1.0413E-02 1.0649E 00 4 .2401E-02 1.0813E 00 1 .0859E-01

...~ ~~

1 .0253E 00 b .O iO lE-03 1 .0413E 00 1.5988E-02 1.0638E 00 8 .0833E-02

1.0723E 00 3 .1608E-01

~ . 0 1 9 1 E 00 4 . 3 1 1 4 E - 0 1

i . O l 6 l E 00 2 .3955E-01

1 .0851E 00 3 .4890E-01

1.0186E 00 1.8ZkOE-01

1 . 0 8 8 8 ~ 00 2.11302~-01 1.0933E 00 l r 8 8 O O E - 0 1 L.1024E 00 2 . 6 6 0 7 E - 0 1 1.L094E 00 3 .3141E-01 1,1196E 00 4 .5660E-01 1 . 1 2 6 6 ~ 00 5 . 4 8 e n ~ - o 1

1.1371E 00 1 . 0 3 3 5 E - 0 1 I . 1429E 00 7 .9691E-01

1 . 1 5 i 5 E 00 9 . 6 2 3 1 E - 0 1 1.1546E 00 9.9943E-01

1 . 1 6 9 2 ~ 00 9 . 0 3 5 ~ ~ - 0 1

1.0849~ no 5 . 1 9 n 0 ~ - 0 1 1 .988 lE 00 5 .8929E-01 L.0938E 00 b .8993E-01

1.0915E 00 4 .3910E-01 1 .09b2E 00 5 . I Z b 3 E - 0 1 L.IOP8E 00 b .2303E-01 1 .1011E 00 1 .0089E-01

1.0963E 00 3 . 1 l l h E - 0 1 1.1019E 00 4 .4584E-01 1 . 1 0 9 8 ~ 00 5 . 6 2 0 6 ~ - 0 1

;.0911E 00 1 .587Of -01 1 .1151E 00 b .4664E-01

l . LO18E I O 8 .6153E-01 1.1043E 00 7 . 1 8 2 2 E - 0 1 1.1069E 00 9 .1815E-01

1 .1133E 00 8 .2068E-01 1.1167E 00 8 .8832E-01 1.12OZL 00 9 .6171E-01 1.1220E 00 L.0001E 00 1.L231E 0 0 1.0249E 0 0

1.1228E 00 7 .8049E-01 1 .1210E 00 8 .5788E-01 l . i 3 1 4 E 00 9 .4322E-01 1 .13388 00 9 .8913E-01 1 .1352E 00 1 .0178E 00

1.1311E 00 1 . 0 5 7 3 ~ ao 1.1381E 00 1.017bE 00 1 .1391E 00 1.0984E 00 1.1396E 00 1.1089E 00 1 .1401E 00 1.1196E 00

1.1405E 00 1.1281E 00 1 .1401E 00 1 .1325E 00

1.1409E 00 1.1368E 00 1.1410E 00 1.1319E 00

1 . 1 4 l O E 00 1.1390E 00 1 .1411E 00 1.1395E 00 l .1411E 00 1.1398E 00 1.1411E 00 1.1403E 00 1 . 1 4 l l E 00 1.1405E 00

I.I~OBE 00 1.1346~ 00

1.1082E 00 1.0105E 00 1.1090E 00 1 . 0 3 0 l E 00

1.1514E 00 1.0512E 00 1.1588E 00 1.0182E 00 l . l h 0 3 E 00 1.1058E 00 1.1blGE 00 1.1199E 00 l . l b 1 8 E 00 L.1342E 00

1.1624E 00 1 . 1 4 5 l E 00 L . l b27E 00 1.1516E 00 1.L628E 00 1.1545E 00 1.1630E 00 1.1514E 00 1.1631E 00 1.1589E 00

1.1101E 00 1 .0568E 00 1 . l l O l E 00 1.010*E 00 1 . l l l 2 E 00 I.0842E 00 1.1115E 00 1 .0912E 00 1 . 1 L I B E 00 L .0982E 00

1.112OE 00 1.1039E 00 L.1122E 00 1 .1Ob lE 00 L.1LZZE 00 1.LOAlE 00 1.1123E 00 1.1095E 00 l . l l 2 3 E 00 L . l l O 2 E 00

L . l l 2 3 E 00 1.11IOE 00 1.1123E 00 1.1113E 00 1.1123E 00 1 .1115E 00 1.1124E 00 1 . l l l 8 E 00 l . 1 1 2 4 E 00 1 . l l 2 O E 00

1 .1211E 00 1 .1260E 00 1 .1217E 00 1 .1264E 00 1 .1277E 00 1 .1267E 00 l . 1 2 1 7 E 00 1 .1211E 00 1 .1217E 00 I . 1 2 1 2 E 00

L.1631E 00 1.1604E 00 I . l b 3 2 E 00 1.1611E 00 1.1632E 00 1 .1615E 00 1 . Ib32E 00 l . 1 6 2 1 E 00 1 .1633E 00 1 .1624E 00

1.1124E I O I . l l 2 2 E 00 1 .1218E 00 I.IZ75E 00 1 .1124E 00 L . L l 2 2 E 00 1 .1278E 00 1 . 1 2 7 6 E 00 l . l l 2 4 E OG 1.1123E 00 1 .1218E 00 1 . 1 2 1 6 E 00 1.1124E 00 1 . 1 1 7 P E 00 1.1218E 00 1 . 1 2 1 7 1 00

1 . L L l l E 00 1.1408E 00 1 . 1 4 L l E 00 I .1409E 00 1 .1411E 00 1.141OE 00 1.1411E 00 1.1410E 00 1.1411E 00 l . 1 4 I O E 00

1.1411E 00 1.1411E 00

1.1633E 00 1.1629E 00 1 .1633E 00 1.163OE 00 1 .1633E 00 1.Lb31E 00 1 .16331 00 1 .1631E 00 1.1633E 00 1.1b32E 00

1.1633E 00 1 . 1 6 3 2 1 00 1.1633E 00 1.1632E 00 1.1633E 00 l . L b 3 2 E 00 1.1633E 00 L.1632E 00 1.1633E 00 1 .1633E 00

1.1124E 00 1 .1123F 00 1 .12788 00 1 .L277E 00 1 . 1 1 2 4 ~ 00 i i i isk 00 L.1124E 00 1 .1123E 00 1.1124E 00 1.1123E 00

1.1278E 00 1.1211E 00 1 .1218E 00 1 .1217E 00 I . 1 2 1 e E 00 1.1217E 00 1.1278E 00 1.1218E DO

49

r 4 u = 1.500 T4U = 2.000 1AU = 2.500

X V

OMEGA - 0.40 T4U = 1.000

1 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

X V 1.0071E 00 4 .0911E-04 1 . 0 2 5 5 t 00 2 .16629-03 1.0419E 00 4 .6418E-03 1.0659E 00 1 .1325E-02 1 .0838E 00 2 .5554E-02

1.0979E 00 5 .1807E-02 1 .1094E 00 8 .8077E-02 l . l l 8 8 E 00 1 .3024E-01

X Y 1.0071E 00 2.63698-04 1.0256E 00 1.3897E-03 1.0419E 00 2.9560E-03

1.0071E 00 1 .7824E-01 1.0256E 00 9 .3587E-04 1.04iOE 00 1 .980bE-03

1.0654E 00 2.552OE-02 1 .0826E 00 6.7465E-02

1.0660E 00 6 .7640E-03 1 . 0 8 4 l E 00 1 .2894E-02

~ ~~~ ~ . ~.~~ .. I.0661E 00 4.4437E-03 1.0842E 00 7 .7975E-03

1.0987E 00 I . 3 4 9 l E - 0 2 1 .0957E 00 1 .2684E-01 I . 1 0 5 8 E 00 1 .9192E-01 1.1139E 00 2 .55BdE-01

1.0985E 00 2.4565E-02 1.1104E 00 4 .3379E-02 1.12OkE 00 6 .8558E-02 1 .1363E 00 1 .3092E-01

I . l l O 8 E 00 2 .3239E-02 1.121OE 00 3 .7723E-02 1.1374E 00 7 .8949E-02

~ ~~~ ~ ~ ~ ~ ~~

1 .1258E 00 3 .7045E-01 1.1342E 10 4 .6472E-01

1 . 1 4 7 l E 00 6 .3158E-01

1 .1335E 00 2 .1959E-01 1 .1442E 00 3 .0472E-01

1 .1616E 00 4 .7774E-01

1.1483E 00 1.9919E-01

1 . 1 6 8 4 ~ 00 3.5820~-01 1 .1808E 00 4 .8471E-01

1.1501E 00 1 .3035E-01

1.1718E 00 2.672OE-01 1.1855E 00 3 . 8 8 b l E - 0 1

1 .1952E 00 6.5901E-01 1.2033E 00 7 .6959E-01 1.2084E 00 8 .4502E-01

1.2018E 00 5 .6960E-01 1 . 2 1 l l E 00 6 .9127E-01 1.2171E 00 7 .7693E-01

1.2257E 00 9 .0853E-01 1.2303E 00 9 .8275E-01 1 .23501 00 1.Ob32E 00 1.2375E 00 1.1060E 00 1.2400E 00 1 .1505E 00

1.2420E 00 l . 1 8 7 4 E 00 1.2430E 00 1.2063E O C 1.2435E 00 1.21596 0 0 1.2441E 00 1.2256E 00 1.2443E 00 1.2304E 00

1.1731E 00 1.04UdE 00 1 .1150E 00 1.0742E 00 1.1769E 00 1 .1016E 00 1 .1779F 00 1 . 1 2 t Z F 00 1.1789E 00 ?.1442F 00

1.1797E 00 1.1587E 00 1.1801E 0 0 1 . 1 6 b I E 00 Irl803E 00 1.1698C 00 1 .1805E 00 1 .1735F 30 1.1806E 00 1.1753E 00

1.1807E 00 1.1772E 00

1 .1808E 0 0 1 .1787E 00 1.18OBE 00 1 .1794E 00 l . 1 8 0 8 E 00 1.1798E 0 0

1.1808E 00 1 .17a iE 0 0

1 .1998E 00 1 .0035E 00 1.2027E 00 1 .0519E U O 1.2057E 00 I . 1 0 2 7 E 0 0 1.2073E 00 1.129OE 00 1.208BE 00 1 .1560E 00

1.2157E 00 9 . 5 7 6 7 E - 0 1 1.219bE 00 1.0197E 00 1 .2235E 00 1.0859E 00 1 .2255E 00 I .1206E 00 1 .2276E 00 1.1565E 00

50 .00 75.00

100.00 150 .00 200 .00

300.00 400.00 5C0.00 7 5 0 . 0 0 1000.00

2000 .00 3000.00 40C0.00 5000 .00 6000.00

7 0 0 0 . 0 0 A O C O . 0 0 90C0.00 100c0.00

I N F

1 . 2 l O l E 0 0 1 .1781E 00 l . i l O l E 0 0 1 . 1 8 9 3 E 00

1.2293E 00 1 . l d o l E 00 1 .23016 00 1.2011E 00 1.230bE 00 1.2087E 00 1.2310E 00 I . 2 1 6 4 E 00 1 .2312E 00 1.2202E 00

1.2314E 00 l . 2 Z q I E 00 1 . i 3 1 5 E 00 1.226OE 00 1 . 2 3 l b E 00 1.2272E 00 1 .2317E 00 l .Zcd7E 00 1.2317E 00 I . 2 2 9 5 E 00

1 .2111E 00 1 .1949E 00 1 .2114E 00 1 .2006E 00 1.2115E 00 1 . 2 0 3 5 t 00

1.2117E 00 1 .2063E 00 1.2118E 00 1 .2077E 00 1.2118E 00 1 .2086E 00

1.2446E 00 1.2353E 00 1.2447E 00 1.2377E 00 1.2448E 00 1.2392C 00 1.2449E 00 1 .2412E 00 1.2450E d0 1 .2422F 0 0

1 .2119E 00 1 .2097E 00 1.2119E 00 1 .2103E 00

l . i l 2 0 1 00 1 .2112E 00 1.212OE 00 1.2115E 00 1.212OE 00 1 . 2 l l b E 00 1.212OE 00 1 .2117E 0 0

1 .2318E 00 1.2307E 00 1.2450E 00 1.2436E O C 1 .2318E 00 1 .2311F 00 1.2318E 00 1.2313E 00 1.2318E 00 1.2314E 00

1.2451E 00 1.2441E 00 1.2451E 00 1.2444E 00 1.2451E 00 1.2445E 0 0 I . 2451E 0 0 1 .2446E 0 0 1 .1809E 00 1.1807E 00

1.1809E 00 1 .1807E 00

1.212OE 00 1 .2117E 0 0

l .212OE 0 0 1 .2118E 00 1.2120E 00 l . 2 1 1 8 E 00 1 .2120 f 00 I . 2 1 1 8 E 00 1.212OE 00 1 .2119E 00 1.212OE 00 1.212OE 00

1 .2318E 00 1 .2315E 00

1.2318E 00 1.2315E 00 1.2318E 00 1.231hE 00 1 .2318E 00 1.231bE 00 1 .23186 00 1 .2316E 00 1 . 2 3 1 8 1 00 l . 2 3 1 0 E 00

1.2451E 00 1 .2447E 00 I . 2451E 00 1.2447E 0 0 l . 2 4 5 1 E 00 1 .2448E 0 0 1.2451E 00 1 .24486 00 1.24516 00 1.2451E 0 0

~~~ ~ ~

1 .1809E 00 I .1808F 00 1.1809E 00 1 .1808E 00 1.18096 00 1 .1808 f 00 ~~ ~ ~~

1 . 1809E 00 1 .18091 00

TAU = 3.000 r 4 u = J . ~ O O TAU = 4.000

X Y

T4U = 4.500

X V I 0.01 0.05 0.10

X Y 1.0071E 00 1.25OZE-04 1.0256E 00 6 .5451E-04 I . 0420E OC 1 .3797F-03

X V 1.0071E 00 9 .0477E-05 1.0256E 00 4 .7254E-04 1.042OE 00 9 .9271E-04

1.0011E 00 6 .7306E-05 1 . 0 2 5 6 6 00 3 .5076E-04 1 . 0 4 2 0 E 00 7 .3471F-04

i . 0071E 00 5 .1311E-05 1 .0 i56E 00 2 .6689E-04 1.0420E 00 5 .5757E-04 1.0b61E 00 I . Z l l 5 E - 0 3 0.20

0.30

0.40

1 .0661E 00 3.Ob2OE-03 1 .0942E 00 5 . 1 8 4 l E - 0 3

I . 0988E 00 R.3265F-03

1 . 0 6 6 L E 00 2 . 1 0 5 l E - 0 3 1.0843E 00 3 .635OE-03

1 .0988E 00 5 .5749E-03

~ .. ~ ~ ~~

l .Ob61E 00 1 . 6 0 6 0 6 - 0 3 1 . 0 8 4 3 E 00 2 .6428E-03

1.0988E 00 3 . 9 4 4 4 E - 0 3

1.0843E 00 1 .9775E-03

1 .09b9 f 00 2 .9024E-03 0.50 0.60 0.80

i . 1 1 0 9 E 00 1 .3579E-02 1 .1212E 00 2 . 1 8 6 9 F - 0 2 1 .1379E 00 4 . 8 3 8 4 F - 0 2

1.1109E 0 0 8 .58Y4E-03 I . 1213E 0 0 l . 3 4 1 5 E - 0 2 1.1381E 00 3 .02721-02

1.po

1.5C 2 .00 3.00 4.00 5.0G

7.50 10.00

1.1509E 0 0 8 .5640E-02

1 .1735E 00 1 .98746-01

1 . 1 5 1 2 f 00 5 . 6 6 4 f E - 0 2

1.1744E 00 1 . 4 7 6 1 E - 0 1 1 .1896E 00 2 .4719E-01

1 .1749E 00 1 .0959E-01 1 .1904E 00 1.9654E-01

1.1752E 00 8 .1403E-02 1.1909E 00 1 .5611E-O i i . i a n 1 E 00 i . i 0 3 + ~ - 0 f

1.2057E 00 4 . 9 0 2 9 1 - 0 1 1 .2160E q0 6.18'12€-01 1 .2226E 00 7 . 1 1 5 3 t - 0 1

1.2081E 00 4 .2084E-01 1.2190E 00 5 .5175E-01 1 .22626 00 6 . 4 9 9 3 E - 0 1

1 . 2 0 9 6 1 00 3 .6051F-01 1 . 2 2 l l E 00 4 .9133E-01 1.2286E 00 5 .9257E-01

1 .2397E 00 7.6198E-01 1.2457E 00 8 .6459E-01 1.2520E 00 9.814OE-01 1.2553E 00 1.0457E 00 1.2587E 00 1 . l l 4 4 E 00

1 .2615E 00 1.1726E 00 1.2b29E 00 1.2029E 00 1.2636E 00 1.2183E 00

1.2106E 00 3 .0839E-01 1.2224E 00 G.3692E-01 1.2303E 00 5 . 3 9 5 7 1 - 0 1

1.2418E 00 1 . 1 6 3 2 E - 0 1 1.2481E 00 8 .2596E-01 1 . 2 5 4 8 ~ 00 9 . 5 2 8 i ~ - o i

1 .2367E 0 0 8 .0958E-01 1.2423E 00 9 .04OlE-01 1.2482E 00 l.OO98E 00 1.2512E 00 1 .0673E 00 1 .2544E 00 1 .1282E 00

1 .2323E 00 8 .5869E-01 1 . 2 3 7 4 ~ 00 9 . 4 3 6 ~ - 0 1 1 . 2 4 2 n ~ oo 1 . 0 3 7 ~ 0 0 1 . 2 4 5 6 ~ oo i . o n i 7 ~ 00 I . 2 4 8 4 E 00 1 .1406E OC

l . 2 5 0 8 E 00 1.1847E 00 1 .2519E 00 1 .2075E 00 1.2525E 00 1.219OE 00 1 .2531E 00 1.2307E 00 1 .2534E 00 1 .2365F 00

1.2537E 00 1.2'+2'+€ 00 1.2539E 00 1.245'1L 00

15.00 20,oo 30.00

5C.00 75 .00

100.00 150 .00 2OO.OC

1.2583E 00 1.0235; 00 1.2619E 00 1 .0996E 0 0

1.2649E 00 1.164bE 00 1.2570E 00 1 .1795E 00 1.2583E 0 0 1 .2060F 00 1 .2589E 0 0 1.2195E 00 1.2596E 00 1 .2332E 0 0 1.2599E 00 1.24OlE 00

1.2664E 00 1.1985E 00 1.2672E 00 1 .2159E 00 1.2h79E 00 1.2335E 00

~~~ ~~

1 .2644E 00 1 .2339E 00 l . 2 6 4 7 E 00 1.2418E 00

l . i b 5 1 E 00 1.2498E 00 300.00 1oo.oc 500.00 750.00

1000 .00

1 .2603E 00 1 .2470E 00 1 . 2 b 0 4 f 00 1 .2505E 00 1.2605E 00 1 .2525E 00 1.2607E 0 0 1 .2553F 0 0

l . i b 5 3 E 00 1 .2538E 00 l . 2 6 5 4 E 00 1.2562E 00 1.2655E 00 1.2594E 00

1.2689E 00 1 .2559E 00 1.2bYOE 00 I . 2 5 8 b F OC 1.2692E 00 1 .2622E 00

l . 2bO7E 0 0 1 .2567E 00

1.2608E 00 1.258RE 00

1.2656E 00 1.26106 00

1.2651E 00 1.2634E 00 1.2657E GO 1.2642F 00

2 0 0 0 . 0 0 3000.00 40c0.00 5 0 0 0 . 0 0 6000.00

70CO.00 8000.00

1.2694E 00 1.26bBE 00 1.2b946 00 1 . 2 b l 7 E 00 1.2609E 0 0 I . 2 5 9 5 E 00

1.2609E 0 0 1 .2599E 00 1 .2609E 0 0 I . 2 6 O l E 00 1 . 2 6 0 9 t 0 0 1 .2bOZt 00

1 .26586 00 1 . i 0 4 6 E 00 1 . 2 6 5 8 F 00 1.2648E 00 1.2658F 00 1 .20506 00

1 . 2 6 5 8 f 00 1.2b51E 00 1.2658E 00 1 .2652E 00 1.2658E 00 1.2b53E 00 1 .2658E 00 1.2653E 00 1 .2658E 00 1 .2b58E 00

1.2694E 00 1.2681E 00 1.2694E 00 1.2684E 00 1.2b95F 00 1.268bF 00

1 .26956 00 1 .2681E 00 1.2695E 00 1.2bRAE 00 1.2695E 00 1.2689E 00 1.2695E 00 1 .2689E 00 1 - 2 6 9 5 E 00 1.2695E 00

1 .25432 00 1.2538E 00 1.2543E 00 1.253YE 00

1.2609E 00 1.2bO3E 00 1.2bOPE 00 1 .2b04E 00 1.2bO9E 00 1 .2605E 0 0 1.2bO9E 00 1.2b05E 00 1.2609E 00 1 .2609E 00

90CO.00 10000.00

I N F

1.2543E 00 1 .2539E 00 1 .2543E 00 1.2540E 00 1.2543E 00 1.2543E 00

T A U = 7.500

X Y 1.007lE 00 1.49111-05 1.025bE 00 7.69271-05 1.042OE 00 1.5900E-04 I.06blE 00 3.3725E-04 1.0843E 00 5.3477E-04

1.09BPE 00 7.5379E-04

T A U = 10.00 I A U - 15.00

X Y 1.0071E 00 2187771-06 1.0256E 00 1.4777E-05 I.0420E 00 3.0255E-05 l.Obb1E 00 b.2908E-05 1.0843E 00 9.7569E-05

1.098PE 00 1.3412E-04

OMEGA - 0.40 T A U - 5.000

2 0.01 0.05 0.10 0.20 0.30

0 . 4 0 0.50 0.60 0.60 1.00

1.50 2.00 3.00 4.00 5.00

7.50 LO.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 700.00

300.00 400.00 500.00 150.00

1ooo.co

2000.00 3000.00 4000.00 5000.00 b O C O . 0 0

1000.00 80c0.00 9000.00 10000.00

IVF

1 0.01 C.05 0.10 0.20 0.30

0.GO 0.50 0 . b P 0.80 1.00

1.50 2.00 3.00 4.00 5.00

1.50 10.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 2CO. 00

300.00 400.00 50C.CO 150.00 1000.00

~000.00 3000.00 4000.00

6000.00

7000.00 8 O C O . O O POOO.OO 10000.00

I Y F

50no.00

X Y :-0071E 00 1.4425E-Ob

0256E 00 3.8261E-05 1.0071E 00 3.9999E-05 1.025bE 00 2.0762E-04 1.

1.0420E 00 7.87llE-05 I.0bblE 00 1.65158-04 1.

1.042OE 00 4.327bE-04 1.ObblE 00 9.3532E-04 1.08431 00 1.5165E-03

1.0989F 00 2.2010E-03 1.0989E 00 3.6022E-04 . . ~ ~ . ~~ ~ ~ ~ ~

1.lllOE 00 3.0602E-03 1.1214E 00 4.2618F-03 1.1383E 00 8.73i3E-03

i;lllOE 00 9.9878E-04 l.1214E 00 1.2798E-03 1.1383E 00 2.QbbOE-03

1.LllOE 00 4.6951E-04 1.1214E 00 5.8810E-04 1.13838 00 8.65311-04

1.llloE 00 1.7255E-04 1.1214E 00 2.1292E-04 1.13836 00 2.9942E-04

1.151bE 00 3.5595E-03 i.15ibE 00 i.25no~-o3 I.1516E 00 3.9716E-04

1.1756E 00 7.6620E-04 1.1754E 00 b.0551E-02 1.175bE 00 1.4485E-02 1.115bE 00 4.097lE-03 1.1913E 00 1.2393E-01 1.2112E 00 2.b354E-01 1.2233E 00 3.88ljE-01

1.19111 00 3.9248E-02 1.2124E 00 1.192LE-01 1.2252E 00 2.1303E-01

i.isise 00 1.2900~-02 1.2127E 00 5.3858E-02 1.225bE 00 1.1632E-01

1.19181 00 1.8960E-03 l.2127E 00 1.1367E-02 1 . 2 2 5 ~ ~ co 3.4788~-02

1.2314E 00 4.9084E-01 1.2339E 00 310338E-01 1.2345E 00 l . M b 4 8 E - 0 1 l.2548E 00 7.0262E-02

1.24341 00 b.7281E-01

1.2569E 00 9.2431.F-01 1.260bE 00 I.OO:OE 00 1.2644E 00 1.0842E 00

1.2675E 00 1.1558E 00 1.2691E 00 1.1931.E 00 1.2699E 00 1.2127E 00 1.2707E 00 1.2322f 00 1.2711f 00 1.2421E 00

1.2715E 00 1.2521E 00 1.2717E 00 l.25llE 00 1.2718F 00 1.2bO2E 00 1.272OE 00 1.2b42E 00 1.2721E 00 1.2bb2E 00

1.2722E 00 1.2b93f 00

1.2723E 00 1.21C8E 00 1.2123E 00 1.27llF 00 1.2723F 00 1.2113F 00

1.2723f 00 1.2115E 00 1.2723E 00 l.27lhF 00 1.2723E 00 1.27llE 00 1.2723E 00 1.2717E 00 1.2123E 00 1.2723E 00

1.2499~ 00 7.8840~-01

1.2723~ 00 1.2703~ no

1.2470E 00 4.8836E-01 1.2543E 00 b.20b2f-01 1.i622E 00 7.6941E-01 1.2664E 00 8 . 9 0 5 7 E - 0 1 1.2708E 00 1.0049E 00

1.2481E 00 3.52b5E-01 1.2558E 00 4 . 8 t 2 O E - 0 1 I.2b41E 00 6.7123E-01 1.2686E 00 7.1902E-01 1.2733E 00 9.2772E-01

1.2772E 00 1.0562E 00 1.2793E 00 1.127lE GO

L.2813f 00 1.2C27E 00 1.2819E 00 1.2224E 00

1.2824E 00 1.2424E 00 1.2827E 00 1.2526E 00 I.2828E 00 1.2567E 00 1.2630E 00 1.2609E 00 1.2831E 00 l.ill0f 00

1 . 2 ~ 0 3 ~ 00 i . i t r 3 ~ 00

1.2833t 00 I . L ~ ~ Z E 00

1.2834~ 00 1.2803~ 00 1.2834E 00 1.2793E 00

1.2834E 00 1.2810E 00 1.2834E 00 1.28L4F 00

1.2487E 00 1.8304E-01 I.2567E 00 2.9708E-01 1.2655E 00 4.8337E-01 1.2703E 00 b.IlO2E-01 1.2753E 00 7.879lE-01

1.279bE 00 9.5849E-01 1.2RL8E 00 1.0572E 00 1.2829E 00 1.1104E 00 1.2M41E 00 1.1662E 00 1.2847E 00 L . 1 9 5 1 E 00

1.2744E 00 1.1070E 00 I.27b3E 00 1.1619E 00 1.2772E 00 1.1904E 00 1.2182E 00 1.21951 00 1.2781f 00 1.2344E 00

1.2852E 00 1.2248t 00

I.2857E 00 1.249LE 00 1.2859E 00 1.2614f 00 1.286lE 00 1.2b7bE 00

1.2n55~ 00 1.2399~ 00

I.2800E 00 1.2755E 00 1.2SOOf 00 1.277OE 00 l.2ROOE 00 l.2776E 00 1.280IF 00 1.2783f 00 1.2901F 00 1.2186f 00

1.28b2E 00 1.2710E 00

1.2863f 00 1.2817E 00 1.2863E 00 1.282bE 00 1.2bb4F 00 1.2833E 00

i.28b3~ 00 1 . 2 ~ 0 1 ~ 00

1.2834E 00 1.2817E 00 1.2834E 00 1.2819f 00 1.2834E 00 1.2821F 00 1.2834F 00 1.2822E 00 1.2835E 00 1.2835f 00

1.2864E 00 1.2837E 00 1.286sE 00 L.2841E 00 1.2864E 00 1.2M63f 00 l.2864E 00 1.28451 00 1.28bsf 00 1.28h4E 00

T A U = 20.00

Y

T A U = 25.00

x V

TAU = 30.00

x Y

T A U = 40.00

x Y

1.001:E 00 1.49Y4E-06 1.025bE 00 l.bb95l-Ob 1.0'120F 00 1.5613C-05

1.00lLE 00 9.1403E-07 1.0250F 00 4.6413f-06 1.0420F 00 4.4908E-Ob 1.Ohblf 0 0 1 . 9 6 0 4 L - 0 5 1.C343i 00 3.018lE-05

1.0071E 00 b.3015E-07 l.025bE 00 3.0796f-Ob 1.0420f 7 0 b.3117C-06

I.0071E 00 3.2173E-07 1.025bF 00 1.6759E-Ob 1.0420f 00 3.*134E-06 . ~ ~~

1.0bblE CO 3.2449E-05 l.Od43f 00 5.0095t-05

l.ObblE 00 1.3OJbf-05 1.0843E 00 2.OGS9F-05

~~

1.0bblf 00 1.02lOE-Ob 1.OR43f 00 1.0167E-05

1.0989F 00 b.8522E-05 1.lliOE 00 9.7bP2C-05 1.1214F 00 1.0l'VE-04 1.13U3F 00 1 . 4 Y S ' i C - 0 4 1.1516E 00 1.9411E-04

L.1756E 00 3.2614f-04 1.1918E 00 5.53iYF-0' 1.2127E 00 2.104lE-03 1.2258F 00 l.Ob42f-02 1.2349F OC 2.bbllE-02

1.21189E 00 9.4885L-02 1.2569E 00 1.8118E-01 L.2659E 00 314744E-01 1.2108E 00 4.RlbJE-01 1.2161E 00 6.b820E-01

1.2805E 00 8.6853E-01 1.2829E 00 9.9031E-01 1.2841E 00 1.U575E 00 1.2853E 00 1.1292E 00 1.2859f 00 L.lbb9E 00

i.cq89E 00 2.73our-05 1.lllOf 00 3.41UqE-05 1.1214E 00 4.2418E-05 1.1383f 00 5.84%9E-05 1.151bf 00 1.5191E-05

1.09d9E 00 :.*b27E-05 1.111OE 00 1.8587E-05 1.1214E 00 2.2636L-05

1.151bf 00 3.9631E-05

1.1156E 00 b.2570E-05 1.1918E 00 8.7431E-05 1.21212 00 1.4661E-04 1.22SME 00 2.77M5f-04 1.234PE 00 7.6083E-04

L.2489E 00 1.0345E-03 1.2571E 00 2.5112E-02 I.2662E 00 9.2407E-02 1.2113E 00 l.7819E-01 1.21b8E 00 3.4426E-01

L.28lbE 00 5 . 8 3 5 9 F - 0 1 1.2841E 00 7.6002E-01 1.2M54E JO 8.6738E-01 1.2860E 00 9.8993E-01 1.2674E 00 1.057bE 00

:.i383~ 00 3.0982~-05

1.175bC 00 1 . 8 6 4 L E - 0 4 1.1918E 00 2.1592F-04 1.212lE 00 8 . 3 0 M : E - 0 4 1.2258F 00 3.L345E-03 1.2349E 00 1.022LE-02

1.248VE 00 4.9230E-02 1.2570E 00 1.1045E-OL 1.266lF 01 2.495lE-01 1.27llE 00 311518E-01 1.2764f 00 5.6630E-01

1.175bi 00 1.2G54E-04 1.1918F 00 1.12ilE-04 1.P127f 00 3.63rBE-04 1.2258f 00 1.2318f-03 1.2349f 00 G.03Y9E-03

1.2489f 00 2.5b05E-02 1.2570E 00 b.1353E-02 1.2662E 00 1.7921E-01 1.2712E '30 2.930lE-01 1.27bbE 00 4.7979E-01

1.281OE 00 7.8658E-01 1.2834E 00 9.271bf-01 1.2847E 00 1.00bbE 00 1.2859L 00 1.093CE 00

1.i8r3E 00 7.1218E-01 1.2831E 00 8.6182E-01 1.2850E 00 9.5801f-01 1.2Bb3E 00 1.057bE 00

1;2865; 00 1.1389E 00 ~ . . ~ ~~

1.287OE 00 l.lii2E 00

1.2Rb5E 00 1.2059E 00 l.i872E 00 L.18b7E 00 1.287bE 00 1.lb75E 00 1.288iE 00 L.1298E 00 iIid68E 00 1.2258E 00 1.2870E 00 1.233OF 00 1.2872E 00 1.254*E 00 1.2874E 00 1.262bE 00

1.2875E 00 1.2114E 00 1.2877f 00 1.2264E 00 1.288Of 00 1.2468E 00

1.28BOE 00 1.1968E 00 1.~882E 00 1.2147E 00 1 . ~ n 8 4 ~ 00 1 . ~ 3 8 ~ ~ 00

1.2d85E 00 i.1678~ 00 1.2807E 00 1.1912E 00 1.2890E 00 1.2231E 00

1.2881E 00 1.2571E 00 1.288bf 00 1.2513E 00 1.2891E 00 1.2394E 00

1.2876E 00 1.2151E 00 1.28lbE 00 1.2793f 00 1.2876E 00 1.2814E 00 1.2871E 00 1.2827E 00 1.2877E 00 l.2835E 00

1 . 2 ~ 7 1 ~ 00 1.284lE 00 1.2877E 00 I.2846E 00 1.2877E 00 1.2849E 00 1.2877E 00 1.2852E 00 1.2877E 00 1.28llE 00

1.2888E 00 1.27COE 00 1.2880E 00 l.27b3F 00 1.;889E 00 1.2794E 00

1.2889E 00 1.2tl2bE 00

1.2889E 00 1.2835E 00 1.28898 00 1.2M42E 00

1,2889E 00 1.285lE 00 1.28VOE 00 l.289OF 00

1.i88qE 00 1 . 2 8 ~ 3 ~ 00

1.2889~ 00 1.2nr7f 00

1.2893E 00 1.26421 00

1.2894E 00 1.2768E 00 1.28Y5E 00 1.2793E 00 1.2895E 00 1.281OE 00

i.zeq4~ 00 1.2726~ 00

1.2884E 00 1.2840E 00 1.2884E 00 1.2845E 00 l.2884E 00 l.285OE 00 1.2885E 00 1.2853E 00 1.20051 00 1.2885E 00

1.2895E 00 I.2822E 00 1.2895E 00 1.2832E 00 1.28951 00 1.2839E 00 1.2895E 00 1.2844E 00 I.2895E 00 1.2895E 00

I I l l

TAU = 50.00 TAU = 75.00 TAU = 100.0 TAU = 200 .0 OMEGA - 0.40

I 0.01 0.05

X Y 1.0071E 00 1.0627E-07 1.0256E 00 5.4179E-07 1 .0420E 00 1 .1021E-06 1.0661E 00 2.2605E-06 1.0843E 00 3 .4564E-06

X Y 1.C071E 00 6.2558E-08 1.0256E 00 3.1452E-07 1.042OE 00 6.4070E-07

X Y 1.0071E 00 7 .6144E-09 1.0256E 00 3 .9524E-08 1.0420E 00 8.0156E-08 1 .066 lE 00 1 .6441E-07

1.0071E 00 2 .1519E-07

1.042OE 00 2 .2074E-06 1 .0661E 00 4.5364E-06 1.0843E 00 6.9474E-06

1 . 0 2 5 6 ~ oc 1 . 0 8 2 8 ~ - 0 6 0.10 0.20 0.30

1.0661E 00 1 .3146E-06 1 . 0 8 4 3 ~ 00 ~.OIOOE-O~

1.0989E 00 2.7219E-06

1.0843E 00 2.5123E-07

0.40 0.50 0.60

1.00 0.80

1.0989E 00 9.4241E-06 1 . l l l O E 00 1.1957E-05 1 .1214E 00 1 . 4 5 3 8 E - 0 5 1.1383E 00 1.9833E-05 1.1516E 00 2.5285E-05

1 .09898 00 4 .6813E-06 l . l l l O E 00 5 .9302E-06 1 .1214E 00 7 .1994E-06

1.0989E 00 3 .4020E-07 L.111OE 00 3 .4475F-06 1.1214E 00 4.1846E-06 1 . 1 3 8 3 ~ 00 ~ . 6 8 n 0 ~ - 0 6

l.111OE 00 4 .3095E-07 1.1214E 00 5 .2278E-07 1.1383E 00 7 .L066E-07 1.1363E 00 9.7900E-06

1.1516E 00 1 .2440E-05

1.1756E 00 1 .9280E-05

1 .1516E 00 7 .2245E-06

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75.00

1.1756E 00 3 .9539E-05 1.1756E 00 1 .3966E-06 1.1918E 00 1 .9082E-06 1.1918E 00 5 .4659E-05

1.2127E 00 8.7838E-05 1.2258E 00 1.3103E-04

1.1918E 00 2.6386E-05 1.2127E 00 4.1330E-05 1 .2258E 00 5 .7287E-05

1.1918E 00 1.5283E-05 1 .2127E 00 2.3855E-05 1 .2258E 00 3 .2900€-05

1.2127E 00 2 .9771E-06 1.2258E 00 4.1031E-06 1.2349E 00 5 .2867E-06

1.2489E 00 8 .5134E-06 1.2571E 00 1 .2177E-05 1.2663E 00 2 . 3 3 1 7 E - 0 5 1.2714E 00 9 . 2 9 2 I E - 0 5 1.2770E 00 1 .7305E-03

1.2819E 00 2 .39h3E-02 1.2847E 00 9 .0340E-02 1 . 2 8 6 1 ~ oo i . 7 5 5 7 ~ - n i

1 .2349E 00 2.3321E-04

1.2489E 00 2 .0262E-03

1.2349E 00 7 .4810E-05

1 .2489€ 00 1 . 8 5 6 l E - 0 4

i.2349E 00 4.Z~iiE-ii I . 2 4 8 9 E 00 7.0902E-05 1.2571E 00 1 .6026E-04 1.2571E 00 9 . 4 3 8 4 E - 0 3

1.2662E 00 4 . 7 6 7 9 E - 0 2 1.2713E 00 1 .0833E-01 1.2769E 00 2 .4695E-01

1.2571E 00 9 .2451E-04 1.2663E 00 9 .2L35E-03 1 .2714E 00 3.1288E-02 1.2769E 00 1 .0763E-01

1 .2819E 00 2 .9035E-01 1 . 2 8 4 5 t 00 4 . 7 7 2 2 6 - 0 1 3.2859E 00 6 . 1 1 8 9 E - 0 1 1.2873E 00 7 .8462E-01 1.2881E 00 8 .8851E-01

1 . 2 8 8 8 t 00 1 . 0 0 6 2 ~ oo 1.2892E 00 1.0707E 00 1 .289kE 00 l . 1 1 1 4 E 00 1 .2897E 00 1 .1681E 00 I . 2 8 9 9 E 00 1 .1976E 00

1 .2663E 00 1 .8565E-03 1.2714E 00 9.1036E-03 I . i 7 7 0 € 00 4.6946E-02

1.2817E 00 4.78;OE-01 1.2843E 00 6 .654bE-01 1 .2856E 00 7 .8515E-01 1.2870E 00 9 . 2 6 4 l E - 0 1 1.2877E 00 1 . 0 0 6 3 E 00

1.2884E 00 1.0931E 00 1 .2888E 00 1.1393E 00 L.2890E 00 1 .1679E 00 I . 2 8 9 3 E 00 1.2072E 00 1.2894E 00 1 . 2 2 7 4 E 00

1.2897E 00 1 .2582E 00 1.2897E 00 1.2687E 00 1 . 2 8 9 8 ~ o o 1 . 2 1 ~ 0 ~ oo

1 .2819E 00 1 .7631E-01

1.286OE 00 4 .7677E-01 1.2875E 00 6.64+1E-O1 l . 2 8 8 2 E 00 7.8436E-OL

I.ZB*LE oo 3 . 4 2 1 6 ~ - 0 1 100.00 150.00 200 .00

300.00 400.00 500.00 750 .00 l000.00

20c0 .00 3000.00 4000.00

1 . 2 8 7 6 ~ 00 3 . 4 1 3 4 F - 0 1 1.2884E 00 4 .7598E-01

1.2890E 00 9 .2598E-01 1.2894E 00 I.OC61E 00 1.2896E 00 1.C575F 00

1.2892E 00 6.6376E-0: 1.2896E 00 7 .8384E-01

1 .2900E 00 1.1301E 00 1 .2901E 00 l . 1 6 n 2 E 00

1 .2904E 00 1.2279E 00 1.2901E 00 1 . 2 4 3 1 E 00 1 .2902E 00 1 .2586E 00 1 .29026 00 1 .2665E 00 l . 2 9 0 3 E 00 1 .2712E 00

l . i 9 0 4 E 00 1 . 2 4 5 5 E 00 1.2905E 00 1 .25896 00 1.2905E 00 1.2652E 00

1.2908E 00 1.228lE 00 1.2908E 00 l .2404E 00 1.2909E 00 1 .2487E 00

5000 .00 6000 .00

7000 .00 8OCO.OO 9000.00

1 ooco. 00

~~ ~ ~

1 .2898E 00 1 .2771E 00 1.2898E 00 1 .2792E 00

1.2898E 00 1.2808E 00

1 .2903E 00 1.2744E 0 0 1.2905E 00 1.26946 00

1.2905E 00 1.2124E 00 1.2903E 00 1 .2767E 00 1.2909E 00 1.2547E 00 1.2909E 00 1 .2591E 00 I .2909E 00 1.2526E 00 1.2909E 00 1.2b54E 00 1.2909E 00 1.2909E 00

1.2898E 00 L .2819E 00 1.2898E 00 1.2828E 00 1 .2898E 00 1.2835E 00

1.2903E 00 1.2784E 00 1.2903E 00 1.2797E 00 1.2903E 00 1.28OBE 00

~ ~ ~ ~ . . 1.290bE 00 1 .2746E 00 1.2906E 00 1.2764E 00 1.2906E 00 1.2778E 00 1 .2906E 00 1 .2906E 00 INF 1.2899E 00 1 .2899E 00 1.2904E 00 1 .2904E 00

2 0.01 0.05 0.10 0.20 0 . 3 0

TAU = 234.2

1.0071E 00 4 .6431E-09 1.0256E 00 1.84018-08 1.042OE 00 3 .8585E-08 1.0661E 00 7 .9975E-08 1.0843E 00 1 .2264E-07

1.0989E 00 1 .6631E-07 1.11LOE 00 2 .1081E-07 1.1214E 00 2 .5602E-07 1.1383E 00 3.4821E-07 1.1516E 00 4 .4242E-07

0.40 0.50 0.6C U.8C l.CO

1.50 2.0c 3.00

1.1756E 00 6 .8509E-07 1.1918E 00 9 .3634E-07 1 .2127E 00 1 .4612E-06 1 .2258E 00 2 .O l42E-06 4.00

5.00

7.50

1.2349F 00 2 .5954E-06

I . 2489E 00 4 . 1 7 9 ' 3 - 0 6 10.00 15.00 20.00

1 .2571F 00 5.9776E-06 1.2663E 00 1 .0614E-05 1 . 2 7 1 4 ~ oo 2 . 7 1 3 8 ~ - 0 5

30.00

50.00 75.00

1.2770; 00 i .6615;-01

1.2819E 00 1.2099E-02 1.2847E 00 5.7249E-02 1.2861E 00 1 . 2 4 6 9 E - 0 1 1.2876E 00 2 .7170E-01 1.2884E 00 4 .0111E-01

1 .2892E 00 5 .9219E-01 1.2897E 00 7 .1956E-01 1.2899E 00 8 .0879E-01 1 .29036 00 9 .S521E-01 I.ZqC4E 00 1.0218E 00

1.2907E 00 l . 1 4 8 5 E 00 1.2908E 00 1.19426 00 1.2'IORE 00 1.2177E 00 1.29096 00 1 .23206 00 1.2909E 00 l . 2 4 1 6 E 00

1.2Y09E O C 1.2486E 00 1.2909E 00 1.2538E 00 1.2909E 00 1.2579E 00 1 .2909E 00 1 .2611E 00 l . 2 9 1 0 E 00 1 .2910E 00

100.00 150 .00 200.00

300.00 400.00 5 0 0 . 0 0 750.00

loco . 00 2OCO.00 ~000.00 4000.00 50C0.00 6000 .00

70CO.00 8OCO.OO 9000. oc 100c0.00

I N F

~ . ...

TAU = 0.100 TAU = 0.200 TAU = 0.300 OMEGA = 6 . 5 0

1AU - 0.050

L c.01 0 . 0 5 0.10 0.20 0.30

x Y l.OO88E 00 3 1 0 0 4 7 E - 0 3 1.0312E 00 3.5429E-02 1.0479E 00 1 .6913E-01 1.0642E 00 4 .21428-01 1 .07208 00 5.1707E-01

X Y 1.0089E 00 2 .3998E-03 1.03188 00 1 .5977E-02 1.0510E 00 7 .91331-02 1.0732E 00 2 .7724E-01 1 .08518 00 4.371bE-01

1 .0087E 00 4 .14118-03 1 .0285E 00 1 .5660E-01 1.0388E 00 4 ,01138-01 1.C464E 00 6 .4949E-01 1 .0495E 00 7 .6355E-01 1.0317E 00 8 .77511-01

0.40 0.50 O.6C O.dO 1.00

1.50 2.00 3.00 4.00 5.00

1.0323E 00 9 .1425E-01 I . 0 5 1 2 E 00 8.2804E-01 1 .0522E 00 8.6936E-01

1.0764E 00 6 .7620E-01 1.0793E 00 7.4396E-01 1.0813E 00 7 .9297E-01 1.0839E 00 8 .589kE-01 1 .08568 00 9 .0120E-01

1.0879E 00 9 .6089E-01 1.0890E 00 9.9223E-01 1.0902E 00 1 .0246E 00 l - 0 9 0 8 E 00 1.0412E 00 1 .0912E 00 1.0513E 00

1.0917E 00 1 .0649E 00

1.0923E 00 5 .5142E-01 1 .0972E 00 6 .34611-01 1.16078 00 6 .97241-01 I . 1053E 00 7 .84668-01 l.108ZE 00 8 .42481-01

1.0326E 00 9 .3703E-01 1 .0328E 00 9 .5254E-01 1.0331E 00 9 .7228E-01

1 . 0 5 2 9 1 00 8 .9807E-01 1.0539E 00 9 .3531E-01 1 .05441 00 9 .5841E-01 1.0333E 00 9 . 8 4 2 3 E - 0 1

1 . 0 3 3 6 1 00 1.0006E 00 1 .0552E 00 9.9011E-01 1.11248 00 9 .2650E-01 1.1145E 00 9 .7170E-01 1 . l l b 8 E 00 1.0192E 00 1.11798 00 1.0438E 00 l . l l 8 6 E 00 L.0589E 00

1.03378 00 1 .0089E 00 1 . 0 3 3 8 E 00 l . O l 7 Z E 00 1 .0339E 00 l . O Z l 4 E 00 1.03398 00 1 . 0 2 3 9 8 00

~ ~ . . .~ 1.0556E 00 1 .0064E 00 1 .0559E 00 1 .02298 00 I . 0 5 6 1 E 00 1 .0312E 00 1 .0563E 00 1 .0363E 00

1 .05648 00 1 .0431E 00 7.50 10.00 15.00

1.0339E 00 1.0273E 00 1.0340E 00 1 .0290E 00 1.0340E 00 1.0306E 00 1.0340E 00 1.0315E 00 1.0340E 00 1.0323E 00

I .1195E 00 1.0793E 00 I.12OOE 00 1 .08978 00 1 .0565E 00 1 .0465E 00

1 . 0 5 6 6 1 00 1 . 0 4 9 9 1 00 1 .0566E 00 1 .0516E 00

1 .0V19E 00 1 .0718E 00 1 - 0 9 2 2 E 00 1.0787E 00 1.0923E 00 1.0822E 00

l . 1 2 0 5 E 00 1 .1002E 00 1.12078 00 1 .1054E 00 :.1209E 00 1.1107E 00

20.00 30.00 1.0567E 00 1 .0533E 00 1.0924E 00 1.0857E 00

50.00 75.00

LOO.OO 150 .00 200.00

L.0340E 00 1 .0330E 00 1.0340E 00 1 .0334E 00 1.0340E 00 1 .0335E 00 1.0340E 00 1.0337E 00 I . 0 3 4 0 E 00 1.033ME 00

1 .0567E 00 1.0547E 00 1 .0567E 00 1 .0554E 00 1 .0567E 00 1 .0557E 00 1 .0567E 00 1.056CE 00 1.0567E 00 1.0562E 00

1.0567E 00 1 . 0 5 6 4 8 00 1 .0567E 00 1.0565E 00 1 . 0 5 6 7 1 00 1.0565E O D

1.0925E 00 1 .08858 00 1 .09268 00 1.0899E 00 1 .0926E 00 1.0906E 00 1.092bE 00 1.0913E 00 l .OY27E 00 1.0916E 00

1.0927E 00 1.0920E 00 1.0927E 00 1 .0922E 00 1 .0927E 00 1.0923E 00 1 .0921E 00 1.0924E 00 1.0927E 00 1 .0925E 00

1 .0927F 00 1.0926E 00 1 .0927E 00 1.092bE 00 1.0927E 00 1.0926E 00 I r 0 9 2 l E 00 1.0926E 00 1.0927E 00 1.0927E 00

1.1211E 00 1.1150E OU 1.1512E 00 1.1171E 00 L.1213E 00 1.1182E 00 1.1213E 00 1 .1193E 00 1.1213E 00 1.1198E 00

300.00 4C0.00 5CO.00 750 .00

IOO0.CO

ZOOO.OG 30C0.00 4000.00 5000.00 b000.00

1.034OE 30 1.0339E 00 1.0340E 00 1 .0339E 00 1 .0340E 00 1 .0339E 00 L.0340E 00 1 .0340E 00 1.0340E 00 1.034OC 00

1.0340E 00 1.0340E 00 L.0340E 00 1 .0340E 00 1.0340E 00 1.03kOE 00 1.034OE 00 1 . 0 3 4 0 t 00 1.034OE 00 1 . 0 3 4 0 f 00

l . I Z l 4 E 00 1.1203E 00 1.1214E 00 1.1206E 00 1.1214E 00 1 .1208E 00 1.1214E 00 1.121OE 00 1 .0567E 00 1 .0566E 00

1.0561E 00 1 .0566E 00 1.1214E 00 1 . 1 2 l l E 00

1 .05b7E 0 0 1.0567E 00 1.0561E 00 1 .0567E 00 1.0567E 00 1 .0567E 00 1.0567E 0 0 1 .0567E 00 1.0567E 0 0 1 .0567E 00

1.1214E 00 1 .1213E 00 1.1214E 00 1.1213E 00 1.1214E 00 1.1213E 00 1.1214E 00 1 .1213E 00 1.1214E 00 1 .1214E 00

7000.00 8OCO.OO 9000.00

1OOCO. 00 I N F

l r 0 3 4 0 E 00 1 .0340E 00 1.0340E 00 1 .034Cf 00

l . 0 5 6 7 E 00 1 .0567E 0 0 1.0567E 00 1 .0567E 00 1 .0567E 00 1 .0567E 00 1 .0561E 00 1.0567E 0 0 l . 0 5 6 7 E 00 1 .0567E 00

1 .0927E 00 1.0921E 00 1.1214E 00 1.1214E 00 1.0927E 00 I .0927E 00 1.1214E 00 1.12L4E 00 1 .09218 00 1 .0927E 00 l . 1 2 1 4 E 00 1 .1214E 00 1.0927E 00 1 .0927E 00 1.1214E 00 1 .1214E 00 I . 0 9 2 7 E 00 1.0927E 00 i .1214E 00 1.1214E 00

1.0340E 00 1 . 0 3 4 C C 00 1.034OE 00 1.0340E 00 1.0340E 00 1.0340E 00

TAU - 0.400 x Y

TAU i 0.500

X Y 1.0090E 00 1 .7145E-03

TAU = 0.600

X Y 1.0C90E 00 1 .4915E-03 1.C324E 00 8 .0919E-03 1.0532E 00 2 . 0 4 M O E - 0 2 1.C826E CO 9.0928C-02 l . l O 2 l E 00 1 .974VE-01

1 .1156E 00 3 .0206E-01 1 . 1 2 5 4 t 00 3.9329E-01 1.1329E 00 4 .7041F-01 1.1433E 00 5.902OE-01 1.1503E 00 6 .1725E-01

TAU = 0.800

1 0.01 0 .05 0.10 0.20 0.30

0.40 0.50 0 . b O 0.80 1.00

1.0090E 00 2.0028E-03 1.0321E 00 1 .1409C-02 1.05LZE 00 4 .3072E-02 1.0781E 00 1 . 8 6 0 6 E - 0 1 1 .0933E 00 3 .328aE-01

1.009CE 00 1 .1639E-03 1.0326E 00 6 .2602E-03 1 .0323E 00 9 . 4 1 5 5 E - 0 3

1 .0528E 00 2 .7718E-02 1 .0809E 00 1 .2811E-01

1.0531E 00 L .4069E-02 1.0844E 00 5.07bOE-02 1.10b2E 00 1.2190E-01

1.1030E 00 4 .5007E-01 I . 1 0 9 7 E 00 5 .4083E-01 1 .1146E 00 5 .118 ' lE -O l 1.1213E 00 7 .1472L-01 1.1256E 00 7.8413E-01

1 .1317E 00 '1 .8986L-01 1 . 1 3 5 0 E 00 9 . 4 7 t l E - 0 1

1.1401E 00 1.0418E 00 1 .1412E 00 1 .0611E 00

1.142bE 00 1.0889E 00 l r l 4 3 3 E 00 1.102dE 00 l r 1 4 4 1 E 00 1 .11b9E 00 1.1444E 00 l .12bOE 00 1.1448E 00 1 . 1 3 l l E 00

1 . 1 3 ~ 4 ~ 00 ~ . o o ~ * E 00

1 .1104E 0 0 3 .6816E-01 1 .118BE 00 4 .b lOOE-01 1.1250E 00 5 . 3 6 5 6 E - 0 1 1.1336E 00 6 . 4 9 8 b E - 0 1 1.1393E 0 0 7 .2968E-01

1.1221E 00 2 .0569E-01 1.1342E 00 2 . 8 7 4 5 E - 0 1 1.1436E 00 3 .6186E-01 1.1572E 00 4 .8577E-01 1.1665E 00 5 .8145E-01

I r L B O b E 00 7 .L131E-01 1.1884E 00 8.3lJO3E-01 1.19b9E 00 9 .4107E-01 1.2013E 00 1.00868 00 1.2041E 00 1 .0469E 00

1 .20798 00 1 . i 0 0 3 E 00 1 .2098E 00 l . 1 2 8 1 E 00 l . 2 1 1 8 E 00 1.1565E 00 1.2127E 00 I . 1 7 1 1 E 00 l . 2137E 00 1.1858E 00

L.2145E 00 1.1977E 00 1.2150E 00 1.2037E 00 1.2152E 00 1.2067E 00 1.2154E 00 1 . 2 0 9 7 E 00 1.2155E 00 I . Z I 1 2 E 00

I . 2 1 5 6 E 00 1.2127E 00 1.2156E 00 1.2135E 00 1.21568 00 1 .2139E 00 1.21578 00 1.2145E 00 l . 2 1 5 7 E 00 1 .21498 00

1.2157E 00 1.2153E 00 1.2157E 00 1 . 2 1 5 5 1 00 1.2157E 00 1 .2155E 00 1.2158E 00 1.2156E 00 1.2158E 00 1 .2156E 00

1 .21581 00 1 .2156E 00 1.2158E 00 I . 2 1 5 6 E 00 1.21588 00 1.2157E 00 1.2158E 00 1.2157E 00 1 .2158E 00 3 .21581 00

1.50 2.00 3.00 4.00 5.00

I . 1475E 00 8 .5237E-01 1 .1519E 00 9 .216CE-01 1 .1565E 00 9 .9667E-01

1 .1605E 00 8 .1483F-01 1 . 1 6 b l E 00 8 .9430E-01 1 . l l 2 O E 00 9 . 8 1 8 8 E - 0 1 1 .1750E 00 1.029Of 00 1.1769E 00 1 .0583E 00

1 - 1 7 9 5 E 00 1.0969E 00 1.1808E 00 1.1197E 00 l . l E 2 l F 00 1.141OE 00 1.1828E 00 1.1518E 00 1.1835E 00 1.1627E 00

1.1840E 00 1.1715E 00 1.1843E 00 1.1759E 00 I .1844E 00 1 .1781E 00 1 .1845E 00 1.1804E 00 1 .184bE 00 1.1815E 00

I,.ILI~~E 00 1 . 1 8 ~ 6 ~ 00

1 . 1 8 4 7 ~ 00 1 . 1 8 3 5 ~ 00 1 .1847E 00 1.1831E 00

1.1848E 00 1.1839E 00 l . 1 8 4 8 E 00 1 . L 8 4 l E 00

1.1589E 00 1 .036bE 00 1 .1604E 00 1.0613E 0 0

7.50 10.00 15 .00 20.00 30.00

1.1624E 00 1 .0952E 0 0 1 .1634E 00 1 .1126E 00 1.1644E 00 1.1302E 00 1.164VE 00 1 .1392E 00 L.1654E 00 1 .1482E 00

50 .00 75 .00

100 .00 1 5 0 . 0 0 200.00

300.00 400.00 5C0.00 750.00

1000.00

2000 .00 3000.00 4030.00 5000 .00 6000 .00

1.1451E 00 1.1369E 00 1.L453E 00 1.13YBE 00 1.1453E 00 1.1412E 00 1 .14548 00 1.1427E 00 1.1454E 00 1.1434E 00

1 .1658E 00 1.1555E 00 1 .1660E 00 1 .1591E 00 1.1661E 0 0 1 .1609E 00 1.1662E 00 1.1628E 00 l . 1 6 6 3 E 00 1.1637E 00

1.1455E 00 L .1441E 00 1.1455E 00 1 .1445E 00 1.1455E 00 1.1447E 00 1.1455E 00 1.1450E 00 1.1455E 00 1.145LE 00

1.1456E 00 1.1453E 00

1 .1663E 00 1 . 1 6 4 t E 00 l . l b 6 4 E 00 I . 1 6 5 1 E 00 1 .1664E 00 1.1653C 00 1 .1664E 00 1 .1657E 00 l . L b 6 4 E 00 1 .1659E 00

1 ,1664E 00 1.1662E 00 1 1 1 6 6 4 E 00 ; . l 663E 00 1 .1664E 0 0 1 .1663E 00 1 .1664E 00 1 . l b 6 3 E 00 1 .16648 00 1 .1664E 00

1 .1664E 00 1 .1664E 00

1.14568 00 L.1454E 00 1.1456E 00 1 .1455E 00 1.1456E 00 1.1455E 00

1.1848E 00 1.1846E 00 1 . 1 8 4 B E 00 l . l i l 4 7 E 00 L.1848E 00 1.1847E 00 1.1456E 00 1 .1455E 00

1 .14561 00 1 .1455E 00 1.1456E 00 1.1455E 00 1.1456E 00 1.1455E 00 1 .1456E 00 1.1455E 00 1,1656E 00 1.1450E 00

7000 .00 80c0.00 90CO.00

100c0.00 I N F

1.1848E 00 1 .18472 00 1 .1664E 00 1 .1664E 00 1 .1664E 00 I .1664E 00 1 .1664E 0 0 1.1664E 00 1 .1bb4E 00 l . 1 6 6 4 E 00

5 3.

b

OMEGA = 0.50 T4U = 1.000 T4U = 1 .500

X Y 1 .0091E 00 5 .7860E-04 I . 0329E 00 3 .0721E-03 1.0542E 00 6.5911E-03 1.0861E 00 1 .581LE-02 1 .1101E 00 3 .3217E-02

TAU = 2.000

A Y 1.0091E 00 3.0261E-04 1.0329E 00 2 .0225E-03 1 .0543E 00 4.3103E-03 l . O B b 4 E 00 9 .84GlE-03 1 .1107E 00 1 .8130E-02

TAU = 2.500

X V 1.0091E 00 2 .6416E-04 1.0329E 0 0 1 .3919E-03 1.0544E 00 2 .9529E-03 1.0865E 00 b .6319E-03 1.1109E 0 0 1.1489E-02

z 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.0C

50.00 75.00

100.00 150 .00 200 .00

300.00 400.00 500 .00 7 5 0 . 0 0

LOCO. 00

2000 .0c 3 0 0 0 . 0 0 4000.00 500C.00 bOCO.00

7 0 0 0 . 0 0 8OCO.00 9000.00

1oooo.oc I N F

X 1.0091E 00 1.0327E 00 1.0539E 00 1.0852E 00 1.1OBZE 00

Y 9 .335bE-04 4 .9947E-03 1 .0899E-02 3 .2438E-02 7.8904E-02

1 .1257E 00 1.1393E 00 1.1501E 00 l . l b b 2 E 00 1 .1776E 00

1 .42b7E-01 2.1170E-01 2 .7910E-01 3 .9923E-01 4 .9769E-01

1 .1292E 00 b .3049E-02 1.1448E 00 1 .0299E-01 1 .1578E 00 1 .4871E-01 1 .1779E 00 2 .4446E-01 1.1927E 00 3 .349bE-01

1 .1303E 00 3.2401E-02 1.1466E 00 5.4124E-02 1 . l b 0 4 E 00 8.2358E-02 1.1824E 00 1 .5078E-01 1.1992E 00 2.2462E-01

1.1307E 00 1 .9024E-02 1.1473E 00 3 .0936E-02 l.lb14E 00 4 .7831E-02 1.1843E 00 9 .4238E-02 1.2021E 00 1 . 5 0 8 3 E - 0 1

1.2328E 00 2 .9913E-01 1.2522E 00 4 .2939E-01 1.2754E 00 6 .2265E-01 l . 2 6 8 8 E 00 7 .5174E-01 1.2974E 00 8 . 4 2 b l E - 0 1

1.2167E 00 5 .1774E-01 1 .2310E 00 b .472bE-01 1.2472E 00 8 .1170E-01 1.2561E 00 9 .0993E-01 1.2617E 00 9 .7479E-01

1 .2273E 00 3 .9481E-01 1.2447E 00 5 .2928E-01 1 .2b49E 00 7 .1377E-01 1 .2763E 00 8 .3050E-01 1 .2836E 00 9.:002E-01

1.1951E (10 1.2050E 00 1.2159E 00 1 .2217E 00 1.2253E 00

b .7145E-01 7.8152E-01 9 . IO75E-01 9 .8359E-01 1.0302E 00

1.2939E 00 1.0266E 00 1.3C97E 00 9.8199E-01 1 .2993E 00 1.0939E 00 i . 31b2E 00 1 .0b05E 00 1.3049E 00 1.1b34E 00 1.3230E 00 l . 1 4 5 5 E 00 1 .3018E 00 1 .1999E 00 1 .3 ibbE 00 I . 1 9 0 7 E 00 1 .3107E 00 1 .237bE 00 1.3301E 00 1.2377E 00

1.2303E 00 1 .0959E 00 1.2b95E 00 1 .0b89E 00 1.2329E 00 1.2355E 00 1.23b8E 00

1.1304E 00 1 . 1 b b l E 00 1.1843E 00

1 .273bE 00 1 .L194E 00 1.2778E 00 l . 1 7 2 5 E 00 1 .2800C 00 l . 2 0 0 0 t 00

1 .2382E 00 1.2029E 0 0

1 .2179E 00

1 .2821E 00 I . 2 2 8 1 E 00

1.2839C 00 1 .2512E 00 1 .2392E 00 1.2398E 00 1 .2400E 00 1.2403E 00 1.2405E 00

1 .240bE CO 1 .2407E 00 1.2407E OC 1 .2408E 00 1 .2408E C O

1 .2408E 00 1 .2408E 00 1.2408E 00 1 .2408E 00 1 .2409E 00

1.3131E 00 1.2b87E 00 1.3331E 00 1.27b7E 00 1.2255E 00 1 .2293E 00 I . 2 3 3 Z E 00 1.2351E 00

1.2848E 00 1.2b2ME 00 1 . 2 8 5 2 f 0 0 1 .2687E 00 1 .2857E 00 1 .214bE 00

1 .3143E 00 1.2845E 00 1.3149E 00 1 . 2 9 i 5 E 00 1 . 3 1 5 5 t 00 1.3005E 00

1.3345E 00 1.29bbE 00 1.3353E 00 1.3067E 0 0 1.336CE 00 1.31b9E 00

1 . 2 8 5 9 1 0 0 1.2716; 0 0

1 .28611 00 1 .280bE 0 0 1.2862E 00 1 .2821E 00

1.3158E 00 1.3045E 00

1 . 3 1 b l E 00 1 .30dbE 00 1 .3163E 00 1.310bE 00

1.33bkE 00 1.322OE 00

1.33b8E 00 1.3212E 00 1.3370E 00 I . 3 2 9 8 E 0 0

1 .2370E 00

1 .2385E 0 0 1.2393E 00 1 .2397E 00

1 . 2 3 8 0 ~ 00 1.2863E 0 0 1 .2830L 00 1 .28648 00 1 .2842E 0 0 1 . 2 8 6 4 1 00 1 .2d48E 00

1 . 2 8 6 5 1 00 1 .2857E 00 1 .28656 00 1.28bOE 00 1.28b5E 00 1.2MbIE 00 1 .28b5E 00 1 .2862E 00 1 . 2 8 6 5 1 0 0 l . 2 8 b 3 E 00

1.2865E 00 1 1 2 d b 3 E 0 0 1.2865E 00 1 .28b3E 00 1 .28b5E 00 1 .2dbkE 00

1 .31b4E 00 1.3118E 00 1.3165E 00 1.3135E 00 1.31bbE 00 1.3143E 00

1 .31bbE 00 1 .3155E 0 0 1.31b7E 00 1.3159E 00 1.3167E 00 1 . 3 l b l E 00 1.3167E 00 l . 3 l b 2 E 00 1.3167E 00 1.3163E 00

1 . 3 1 6 7 f 00 1.31o4E 00 1.3167C 00 1 .31b4E 00 1 .3167E 00 1 . 3 l b 5 E 00 1.3167E 00 1 .31b5E 00 1 .3167E 00 1.3167E 00

1.3371E 00 1.3313E 00 1.3312E 00 1.3334E 00 1 .33731 00 1.3344E 00

1.3374E 00 1.3360E 00 1.3375E 00 1.3365E OC 1.3375E 00 1.3368E O C 1.3375E 00 1.3369E 00 1.3375E 00 1.3370E 00

1.3375E 00 1 .3371E 00 1.33752 00 1.3371E 00 1.3375E 00 1 .3372E 00 1.3375E 00 1 .3372E 00 1.3375E 00 1.3375E 00

1.24C3E 00 1.2405E 00 1.240bE 00 1 . 2 4 0 6 1 00 1.2407E 00

1.2407E 0 0 1 .24C lE 00 1.2407E 00 1 . 2 4 C l E 00 1.24G9E 00

1 .Z409E 00 1.2409E 00 1.2409E 00 1.2409E 00 1.28658 00 1 .2864E 0 0

1.28b6E 00 1 . 2 8 b t E 0 0 I .2409E 00

M U = 3.000 1 4 U = 3.500

Y I . 3 8 4 5 E - 0 4 7 .2b19E-04 1 .5305E-03 3 .3802E-03 5 .6206E-03

TAU = 4.000 TAU = 4 . 5 0 0

1 0.01 0.05 0.10 0 . 2 0 0.3C

X 1.0091E 00 1.0330E 0 0 1 .0544E 00 1 .08661 0 0 1.11111 00

X :.0091E 00 1 .0330E 00 1.0545E 00 1.08bbE 00 1.11111 00

1.1310E 90 l . lC7ME 00 l . l b 2 l E CO 1 . 1 8 5 8 1 00 1 . 2 0 4 5 ~ 00

1 .0091E 00 1 .8859E-04 1 .0330E 00 9 .91LbE-04 1.0544E 00 2 .0952E-03 1 .0866E 00 4 .6613E-03 1 .11 lOE 00 7 .8595E-03

1 .1309E 00 1.23:bE-02 1 .147bE 00 1 .9147E-02 1.1b19E 00 2.92b5E-02 1 .1852E 00 5.9973E-02 1 .2035E 00 1 . 0 1 7 b E - 0 1

1.042OE-04 5.453ME-04 1.14b.rE-03 2.51bbE-03 4.146bF-03

6 .15bOE-03 8.8635E-03 1 .2183E-02 2 .1032E-02 4 .7507E-02

1.2dObE-01 2 .23b2E-01 4 .0173E-01 5 .4285E-01

1.0091E 00 8 .014bE-05 1.0330E 00 4 .187bE-04 i . o v . 5 ~ 00 B . ~ ~ Z Z E - O ~ 1.08bbE 00 1 .917bE-03 1 . l l l : F 30 3 .1375E-03

1.1310E 20 4 . 5 9 8 0 E - 0 3 1.147dE 00 b . k b 3 2 E - 0 3 l . l b 2 2 E 00 9 .047bE-03

0 . 4 0 0.50 0.60 C.80 1.00

1.1310E 00 1 . 1 4 7 7 t 0 0 1 .1620E OJ 1.185bE 00 1 .2042E 00

8 .5148E-03 1 . 2 h 8 2 E-02 1 . 8 5 7 l E - 0 2 3. PO1 t E-02 b . 9 1 7 4 E - 0 2

l . 185qE 00 1 .785bE-02 l .2C47E 00 3 .3043E-02

1 .50 2.00 3.00 4.00

1 .235bE 1 0 2 .2578E-01 1.2565E C O 3 . 4 6 5 + € - 0 1 1.2819E 00 5.398OE-01 1.29bbE OC b .7b74E-01

1.2372E 00 1 .2590E 00 1 . ~ 8 5 9 ~ no

1 .7009E-01 2 . 7 6 7 0 E - 0 1 4 .6632E-01 b . Obq3E-0 1 7 .1209E-0 1

1 .2381E 00 1.2605E 00 1 . 2 8 d 4 t 00 1 .3052E 00

1.238bE 0 0 9 .6476E-02 1.2614E 30 1 . 7 9 l b E - 0 1 1.2901F 00 3 .4539E-01 1.3075E 00 4 .8459E-01

~ ~ .~ 1.3018E 00 1 .3123E 00

1 .3275E 00

5 .CO

7.50

1.3063E 00 l . l b 0 l E - 0 1

1.3203E 00 9 .3264E-01

1 .3163E 00

1 . 3 3 2 b t CO

b . 5 1 7 2 f - 0 1

8 .3337E-01

1.3191E 00 5 . 9 5 3 4 E - 0 1

1.3362E 00 7.051t3C-01 8.82 b8E-0 1 :o.oc 15 .00 20 .00 30.00

1 .3277E 00 1 .0229E 00 1 .3355E 00 1 . I Z i 4 E 00 1 .339bE 00 1 .1758E OC

1.3357E 00 1.3444E 00 1.3489E 00

9 .834OE-01 1 . 0 9 b l E 00 1 .1573E 00

1 .3414E 0 0 1.3508E 00 1 .3551E 00

9 . 4 3 i 7 E - 0 1 l.ObdOE 00 1.13b7E 00

i r 3 4 5 6 E 00 9 . 0 3 0 7 E - O f 1.355bE 00 1.0390E 00 I .3 tO8E 00 1.1146E 00 1.3bbZE 00 1.19bOE 00 1 .3437E 00 f . 2 3 1 8 E 00

1.3471E 00 I .278bE 00 1.3489E 00 1.3027E 00

1.3535E 00

1.3573E 00 1.3592E 00

1 .2221E OU

1 .27bbE 00 1 .3048E 0 0

I . 3 6 0 7 E 00

1 .3649E 00 1 .3670E 00

1.2099E 00

50.00 75.00

i .272OE 00 1.3042E 00 1.3207E 00 1.3373E 00 1.3457E 00

1.3542E 00 1.35b4E 00 1 . 3 6 1 0 f 00 1.3644E 00 1 . 3 b b l E 00

l . 3 b 8 7 E 00 1.3696E 00 1.3700E 00

:.370bE 00 1 .2b54E 0 0 1.3729E 00 1 .3017E 00 1.3140E GO 1 .3202E 00 L.3751E 00 1 .3390E 00 1.3757E 00 1.3485E 00

1.3763E 00 1.3531E 00 1.3766E 00 1 .3629E 00 1.37b8E 00 1 + 3 6 5 8 E 00 :.3770E 00 1 .3697E 00 1.3771E 00 1 . 3 7 l b E 00

1.3713E 00 1 .3745E 00 1.3773E 00 1.3155E 00 1.3774E 00 1.37bOE 0 0 1.3774E 00 1.3763E 00 1.3774E 00 1 . 3 7 6 5 1 00

1.3774E 00 1 .37bbE 00 1.3774E 00 1 .3767E 00 1.3774E 00 1.3768E 0 0 1.3774E 00 1.3769E 00 l r 3 7 7 5 E 00 1.3775E 00

100.00 1 5 0 . 0 0 200.00

300.00 400.00 50C.OC 7 5 0 . 0 0

1oco.oc

2000.CO 30C0.00 4 0 c 0 . 0 0

1 .3497E 00 1.3150E 00 I . 3 5 0 b E 00 1 .3273E 00 i . 3 5 1 0 E 00 1.3335E 00

1 .3515E OC 1 .3398E 00 1.3517E 00 1.342YE 00 1 .3518E 00 1.3448E 00 1.352OF 00 1.3473E 00 1.3521E 00 1 .348bF C 0

1.3602E 00 1.3612E 00 1.3617E 00

1 .3622E 00 1 .3b24E 00 1 .3626E 0 0 1.3623E 00 1.3629E 00

1 .3630E 00 1 .3631E 0 3 1.3631C 00

1 .3192E 0 0 1 .3337E 00 1.3410E 00

1.3483E 00 1.352OE 0 0 1 . 3 7 4 i E 00 1 .3572E 00 1 .3581E 00

1.3b09E 00 1 .3617E 0 0 1.362OE 00

l r 3 6 8 0 t 00 1.3691E 00 1 .369bE 30

1.3702E 00 1.3705E 00 1.3706E 00 1 .3708E 00 1.3709E 00

1 .37111 00 1.4112E 00 1.3712E 00 1.3112E 00 1 .3712E 00

~~~ ~

5 0 0 0 . C C bOOO.00

7OCO.00

1 .3631E 00 1.3631E 00

1 .3631E 00

1 . 3 6 2 3 i 00 1.3626E 00

1.3625E 00

~~

1 .370ZE 00 1.3704E 00

l . 5 7 1 2 t 00 i . 3 7 0 5 E 00 1 .3523E 00 1.351dE OC 80c0.00 90c0.00

I N F .* 10000.OC

1 .3523E 00 1 .3519E 00 1 .3523E 00 1 .3519E 00 1.3523E 00 1.3523E 00

1.363:E 00 1.3631E 00 1.3631E 00

1 .362bE 0 0 1.3627E 00 1 .3627E 00

1.3712E 00 1.3712E 00 1.3712E 00

1.370bE 00 1.3707E 00 1.3708E 00

1.3523E C C 1.3523E C O 1 .3632E 03 1 . 3 6 3 7 1 00 1.3713E 00 1.3713E 00

54

T4U I 1 ,500

X Y 1 .0091E 0 0 2 .3701E-05

T4U - 10.00

X Y 1.0091E 00 1.1174E-05 1 .0330E 00 6 .0856E-05 1 .0545E 00 1.2580E-04 l .0866E 00 2 .6b09E-04 1 . l l l Z E 00 4 .19478-04

1.1311E CO 5 .8610E-04

TAU = 15 .00 CHEGA = 0.50

TAU = 5 . 0 0 0

2 0.01 0.0: 0.10 0.20 0.30

X I 1.C091E 00 b .Zn77E-05

X V 1 . 0 0 9 l E 00 4.5058E-06 1.0330E 00 2 .3195E-05 1 . 0 5 4 5 8 00 4 .7734E-05 1.0866E 00 9 .999bE-05 1 .11 lZE 00 1 .5598E-04

1.0330E 00 3.28CZE-04 1 .0545E 00 5 . 6 6 4 8 E - 0 4 1.0866E 00 1 .4918C-03

1 .0330E 00 1.2292E-04 1 .0545E 00 2 .5527E-04 1 . 0 8 6 6 1 00 5 .45205-04

1 . l l i l E 00 2 .4267E-03 l . 1 1 1 2 E 00 8 . 6 9 2 2 E - 0 4

0.40 0 . 5 0 0.60 0.80 1.CO

1.50 2.0c 3.00 4.00 5 . 0 0

7 .>0 10.00 15.00 20.00 30.00

1.1311E 10 3 .5239E-03 1.1478E 00 4 . 8 6 9 3 6 - 0 3 1.1622E 00 6 .6488E-03 1.1859E 00 1 .2bC9E-02 1.2048E 00 2.3321E-02

1 . 2 3 ~ 9 ~ 00 7 . 2 7 9 4 ~ - 0 2 1.262OE 00 1 . 4 3 4 i E - 0 1 1 .2913E 00 2 .9652E-01 1.3091E 00 4 .3195E-01 1.3211E 0 0 5 .430BE-01

1 .1311E 00 1 . 2 3 0 2 E - 0 3 1 .1478E 00 1 . 6 3 4 9 E - 0 3 1 .1623E 0 0 2 . C 9 6 8 E - 0 3 1 .1860E 00 3 .330bE-03 I . 2 0 4 9 E 00 5 .4328E-03

1.1311E 00 2 .1542E-04 1.1478E 00 2 .782bE-04 1.1623E 00 3 .44558-04 1.1860E 00 4.8821E-04 1.2049E 00 6 .4944E-04

1 .1478E 00 7 .66988-04 1.1623E 00 9.6393E-04 1.1860E 00 1 .4230E-03 1 .2049E 00 2 .0449E-03

1 . 2 3 9 3 E 00 1 .8834E-02 1.2629E 00 4 .7364E-02 1.2934E 0 0 1 .3676E-01 1.3124E 0 0 2 . 4 0 1 2 E - 0 1 1.3254E 00 3 .3902E-01

1 . 2 3 9 4 ~ 00 ~ . L I Z B ~ E - O ~ 1.263OE 00 1.6347E-02 1 .2938E 00 6.2895E-02 1.3132E 00 1.3243E-01 1.3266E 00 2.09bZE-01

1.2394E 00 1.2308E-03 1.263OE 00 2 .7309E-03 1.2939E 00 1 . 3 8 7 7 E - 0 2 1 .3135E 00 4 . 0 3 9 4 E - 0 2 1.3271E 00 7 .9988E-02

1 .3482E 00 2 .0457E-01 1 .3604E 00 3 .2973E-01 1.3740E 00 5 .3338E-01 1.3813E 00 6 .7913E-01 1 .38928 00 8 .6522E-01

1.3959E 00 I . 0 5 0 6 E 00 1.3993E 00 1.1578E 00 1.4011E 00 1 .2155E 00 1.402YE 00 1 . 2 l b l E 00 1.4038E 00 1 .3015E 00

1 .4047E 00 1.3397E 00 1.4051E 00 1 .3561E 00 1.40511E 00 1.36bOE 00 1 .4058E 00 1.379CE 00 1.4CbOE 00 1 .3661E 00

1 . 4 0 6 3 8 00 1 .39b3E 00 1.40636 00 1.3997E 00 l . kGb4E 00 1 .4014E 00 1.4064E 00 1.*024€ 00 1.4064E 00 1 . 4 0 3 l E 00

leL10b4E 00 1 .4036E 00 1.4Oo5E 00 1.4040E 00 1.4065E 00 1 .4062E 00 1.4Lb5E 00 1 .4045E 00 1.4065E 00 1 .4065E 00

1.3389E 00 7.393lE-0' . 1.3487E 00 8 .6363E-01 1 .3592E 00 I . 0 0 9 b E 00 1 .3646E 00 1.0918E 00 1 .3703E 00 1 . l d l O E 00

1 .3150E 00 1 .2576E 00 1.3774E 00 1 .2973E 00 1 . 3 7 8 b E 00 1 .3185E 00 1.3798E 00 1 .3394E 00 1.3805E 00 1 .3500E 00

l r 3 4 5 2 E 00 5 . 4 0 4 3 6 - 0 1

1.3683E 00 8 . 6 6 5 2 E - 0 1 1.3747E 00 9 .7581E-01 1 .3314E 00 1 .0992E 00

1 . 3 5 6 3 ~ 00 b . n 3 8 8 ~ - 0 1

50.00 7 5 . 0 0

lCO.00 150 .0C 2CO.GO

3CO.00 400.00 5C0.00 1 5 0 . 0 0

1000 .00

2OCO.GO

1 .3869E 00 1 .2092E 00 1 .3898E 00 1 .2584E 00 1 .3912E 00 1 .2990E 00 1.3927E 00 1 .3305E 00 1.3934E 00 1 .3465E 00

1.3942E 0 0 1 .36272 0 0 1.3945E 00 1 .3708E 00 l r 3 9 4 8 E 00 1 . 3 7 5 8 E 00 1.3951E 0 0 1 .3824E 0 0 1.3952E 00 1.3857E 00

1 .3954E 00 1.3'307E 00 1 .395SE 0 0 1.3Y23E 00 1 .3156E 00 1 . 3 Y 3 2 E 0 0 1 .395bE 00 1.3937E 00 1 .395bE 00 1 .3940E 0 0

1 .3956E 0 0 1 . 3 9 4 2 E 00 1 .3956E 00 1 .3944E 00 1.39566 0 0 1 .394bE 00 1 . 3 9 5 b t 00 1 . 3 9 4 7 E 00 1.3957E 00 I . 3 9 5 7 E 00

1 .3918E 00 1.1558E 00 1.3950E 00 1.2324E 00 1.39bbE 00 1.2727E 00 1 .3982E 00 1.3142E 00 1.3990E 00 1.3355E 00

1.3998E 00 1 .3511E 00 114OOZE 00 1 . 3 b a l E 00 1 . 4 0 0 5 i 00 1 . 3 7 4 l E 00 1 .4008E 00 1 .3835E 00 1 .4010E 00 1 . 3 8 M O E 00

1 .4012E 00 1.3947E 00 1 . 4 0 1 3 E 00 1.3910E 00 1 .4013E DO 1.3981E 00 1 . 4 0 1 4 E 00 i . 3 9 8 8 E 00 1 .4014E 00 1.3V92E 00

1.4014E 00 1.3995E 00 1.4014E 00 1.3998E 00 1.4014C 00 1.4OCOE 00 1 .4014E 00 1 .4001E 00 l . ' t O l S E 00 1 .4015L 00

1.3811E 00 1 .3607E 00 I . 3 8 1 L E 00 1.3bb:E 00 1 .381bE 00 1 .3693E 00 1 .3818E 30 1 .373bE 00 1.3819E 00 1.37SRE 00

! .3821E 00 1 . 3 7 9 0 E 00 300C.00 43t0.00 50CO.UO

1.3822E 00 1 .38CIE OC 1.3822E 00 1 .3507E 00 1.3822E 00 1.3810E 00

bOIC.00 1.3822E 00 1 .3611E 00

1.3812: 00 1 . 3 8 1 + € 00 1OCC.LO ROCO.OO ~ 0 c 0 . 0 0

! o 0 o o . c o I * F 1 .3823E 00 l . 3 8 2 3 E 30

T A U = 20.00 TAU = 25.00

X Y

TAU = 30.00

x I

TAU = 40.00

x I 0.01 C.05 0. ;c 0 . 2 0 0 . 30

C.4C 0.50 0 . 6 0 0.8C 1.00

X " 1.0011E 00 2 . 3 2 3 3 6 - 0 6 1 .0330E 00 1 . 1 9 4 i F - 0 5 :.0545E 10 2 .45ZbF-05 1.OtlbbE 00 S. l l ' IRL -OS 1 . 1 I I Z E 00 7 .9+05€-05

:.1311E 00 1 . 0 9 1 i L - 0 4 ? . l 4 7 M t 90 1 .4013E-C4 1 .1b23E 00 1 .125bC-04 1.1860E C C 2 . 4 1 2 8 E - 0 4 1 .2049E 00 3 . 1 5 5 l C - 0 4

1 . 0 0 9 l E 00 1 .37b5E-06 1 .0330E 0) 7 1 2 3 5 1 E - O b 1 . 0 5 4 5 t 0 0 1 .4194E-05 1 .086bE 00 3 .0762C-05 1 .1112E 00 4 .7612E-05

I . 1 3 1 1 F 0 0 b .5241E-05

1.1623E 00 1 . 0 2 5 4 E - 0 4 1.18bOf 00 1 .4243E-06 1 .204YF 00 1 . 8 4 9 1 1 - 0 4

1 . 2 3 9 4 E 00 3 . 0 2 8 1 E - 0 4

1 .2939E 03 1 . 1 9 5 5 E - 0 3 1 .3135E 0 0 4 . 2 7 3 9 E - 0 3 1 .3212E 00 1 . 2 O L I E - 0 2

1.1478E 00 n .3515E-05

1 . 2 6 3 0 ~ 00 ' ~ . * ~ ~ z E - o G

l.CO91E 00 9 .3315E-07 1.0330E 00 4 .1908C-06 1 .0545E 00 9 . 8 1 7 6 f - 0 6 1 . C 8 6 6 E 00 2 .0318E-05 I . l l l 2 E 00 3 .1513E-05

1.1311E 00 4 . ? 1 0 6 € - 0 5 1 .1478E 00 5.5117E-05 1.1b23E 00 6 .75136-05 I . l 8 b O E 00 9. 3389C-05 1 .2049E 00 1 .20bbE-04

1 .2394E 00 1 .9<97E-04 1.263OE 00 2 . 7 9 1 9 f - 0 4 1.2Y39E 00 5 .b3b3C-04 1. 3135E 00 I . b3rOE-03 1.3272E 00 4 . b l 9 0 E - 0 3

1.348t.E 00 2 .9071E-02 1 .3b10E 00 7 .5352E-02 1.3751E 00 1 . 9 8 5 6 E - 0 1 1 .3830E 00 3.235OE-01 1.39148 00 5 .27YZE-01

l.OGV1E 00 5 .0125E-07 1.0330E 00 2 .5709E-06 1.054SE 00 5 .2625E-06 1.OR66E 00 1 .0903E-05 1.1112E 00 1 .6614E-05

1.1311E 00 2 .2944E-05 1.1478E 00 2 .92b5E-05 1.16'3E 00 3 .5757E-05 1.1RbOE 00 4 . 9 2 0 5 F - 0 5 1 . ~ 0 4 9 E 00 b .3221E-05

1.23VkE 00 1 .0059E-04 1.2b30E 00 1 .4134E-04 1.293YE 00 2 . 3 7 7 0 E - 0 4 1.3135E 00 4 . 2 3 0 4 E - 0 4 1.3212E 00 1 .0116E-03

I . 3 4 8 b E 00 8 .1333E-03 1.3b11E 00 2 .8273E-02 !.3752E 00 l . 0 2 b O E - 0 1 1 . 3 8 3 1 8 00 1 .9693E-01 1.3917E 00 3 .1906E-01

1.5c 2.00 3.00 4.00 5 . 0 0

1 .50 10 .00 15.00 2o.co 30.00

50.00

1.2394E 00 5 .33CJE-04 1 .2630E CO 8 . 7 7 5 5 f - 0 4 1.2'439E 00 3 . 5 C j i E - 0 3 1.3135E C O 1.26'4bE-02 I . 3 2 7 2 E OC 3 .0699E-02

1.3465E 00 1 . 0 6 5 5 E - 0 1 1.3bCBE 00 2 .01bbE-01 1.3147E 00 3 .8403F-01 1 .3123E 00 5 .3084E-01 1 .39JSE 00 7 .3442E-01

1 .3975E 00 9 .5273E-01

1 .3466E 0 0 5 .5560E-02 1.3610E 00 1 . 2 3 2 5 E - 0 1 1 .3750E 00 2 . 7 b 2 0 E - 0 1 I . 3828E 00 4 .145OE-01 1.3911E 00 b.228IE-OI

1.3983E 00 8 . 6 3 2 5 1 - 0 1 i . 3 q n i t 00 7 . 8 1 8 6 ~ - 0 1 1.402bE 00 9 . 5 1 7 3 E - 0 1 1 .404bE 00 l .OSO1E 00 1.40bbE 00 l r l 5 1 1 E 00 1 .4077E 00 1 .2171F 00

1.3Y92E 00 6.4098E-01 1 .4032E 00 8 .3381E-01 1 . 4 0 1 l E 00 1.0853C 00

1.4030E 00 1.1584E 00 1.4049E 00 1 .2365E 00

1 . 4 C Z l E 00 1.0165; 00 1.4040E 0 0 1 .1031E 00 1 .4060E 00 1 .1972E 00 1 .4070E 00 1 . 2 4 7 i E 00

1 .4053E 00 9 .5 lOBE-01 L.4074E 00 1 .0849E 00 1.11085E 00 1 .1581E 00 1.4058E 00 1.277GE 00

3C0.00 400.00 5 0 0 . 0 0 7 5 0 . 0 0

1000.OC

2 0 c 0 . 0 0 3000.00 40C0.00 ~000.00 hOOO.OO

7000 .00 8OCO.OO 9OCO.OO 10000.00

l N F

1.4Ob8E 00 1.31'46E 00 1.4073E 00 1 .3415E '3C 1.407bE 00 1.3547E 00 1.4080E 00 1 .3725E 00 1.43BZE 00 1 .3815E 00

l . 4 0 8 S E 00 1.3951E 00 1 . 4 0 8 b E 00 1 .399bE 00 1 .4086E 00 1.4019E 00 1.4087E 00 1 . 4 0 3 3 E 00 1 . 4 0 8 7 E 00 1 .4042E 00

1.4081E 00 1.4048E 00

1.4087E 00 1 .4051E 00 1 .4087E 00 1.LObOF 00

1.40117~ 00 1 . 4 0 5 3 ~ 00

1 . 4 0 8 8 ~ 00 i . 4 0 n a E 00

l . i tO8OE 00 1 .2192E 30 1 .4085E 00 1 .3261E 00 1.4088E 00 1 . 3 4 2 5 8 00 1.4092E 00 1 .364bE 00 1.4094E 00 1 .375dE 00

l . 4 0 9 7 E 00 1.3YZRE 00 1 .40988 00 1.3985E 00 1 .4099E 00 1 .4014E 00 1 .4099E 00 1 .4031E 00 1 .4099E 00 1 .4043E 00

1 . 4 0 8 7 t 00 1.2785E 00 1.4092E 00 1.3104E 00 1.4096E 00 1.3299E 00 1.41OOE 00 1.3564E 00 I . s l O 2 E 00 1.36'IBE 00

1.4105E 00 1 .3902E 00 1 .4106E 00 L.IY7OE 00 1 .4107E 30 1.4005E 00 1.4101E 00 1 .4025E 00 1 . 4 1 0 7 L 00 1.403VE 00

1.41OBE 00 1.4049E 00 1.4108E 00 1 .4056E 00 1 .4108E 00 1.4062E 00 1.4108E 00 1 .4061E 00 1.4108E 00 1.4108E 00

1.4OYOE 00 1 . 2 3 7 6 F 00 i . 4 1 0 i E 00 i . z i s o E or5 1.4105E 00 1 .3045E 00 1.4109E 00 1.3393E 00 1.4111E 00 1.3571E 00

1.4115E 00 1 .3842E 00 1.4116E 00 1.3933E 00 1.411bE 00 1 .3979E 00 1.4117E 00 1 .4007E 00 1.4117E 00 1.4025E 00

: . 4 i i 7 ~ 00 1 . 4 0 3 8 ~ 00 1.4117E 00 1 . 4 0 4 0 1 00 1 .4117E 00 1.4056E 00 l . * 1 1 l E 00 1 . 4 0 6 2 1 00 1 . 4 l l d E 00 l . 4 1 1 8 E 00

55

OMEGA - 0.50 TAU = 50.00 T 4 U = 75.00

X Y 1.0091E 00 1 .6017E-07 1 .0330E 00 8 .2490E-07 3 1 0 5 4 5 E 00 1 1 6 8 5 1 1 - 0 6 1 .0866E 00 3.4803E-06 1.1112E 00 5 .3504E-06

1 .1311E 00 7.2785E-06 1.1478E 00 9 .2544E-06 1.1623E 00 1.1211E-05 1.1860E 00 1 .5407E-05 1.2049E 00 3.966OE-05

1.2394E 00 3 .0703E-05 1.2630E 00 4 .2240E-05 1.2939E 00 6.662OE-05 1 .3135E 00 9 .2747E-05 1.3272E 00 1 .2130E-04

T 4 U = 100.0

X Y 1 .0091E 00 9 .36428-08

1 4 U = 200 .0

X ‘I 1.0091E. 00 l . 2 1 b l E - 0 8

2 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.OC 75.00

100.00 150 .00 200.00

300.00 400.00 500.00 750.00

1000.00

2000 .00 3000.00 40C0.00 5000.00 bOCO.UO

7 0 0 0 . 0 0 8000.00 9000.00

10000 .00 I N F

1.0091E 00 3 .2355E-07 1 .0330E 00 1 .6586E-06 1.0545E 00 3 .3926E-06 1.0866E 00 7 .0183E-06 l . l l l 2 E 00 1 .0806E-05

1 .1311E 00 1.4722E-05 1.1478E 00 1 .8748E-05 l . l b 2 3 E 00 2.2869E-05

i . 0 3 3 0 ~ 00 4 . 7 9 4 0 ~ - 0 7 1 .0545E CO 9 .7985E-07 1 .0866E 00 2.0238E-06

1.0330E 00 5 .9537E-08 1 .05451 00 1.2229E-07 1.0866E 00 2 .5302E-07

i . 1 1 1 2 E 00 3 .1 lOBE-06

1 .1311E 00 4.2311E-06 1 .1478E 00 5 .3786E-06

1.1112E 00 3.8910E-07

1.1311E 00 5 .2935E-07 1.1478E 00 6.7300E-07

1 .1623E 00 b .5493E-06 l . 186OE 00 8.9489E-06 1 .2049E 00 1 .14148-05

1.2394E 00 1 .7802E-05 l . 2630E 00 2.4455E-05 1.2939E 00 3.8430E-05 1 .3135E 00 5.3229E-05 1 .3272E 00 6.885bE-05

1 .3486E 00 l . 1 4 4 8 E - 0 4 1.3611E 00 2 .3035E-04 1 . 3 7 5 3 ~ 00 2 . 1 4 8 3 ~ - 0 3

1.1623E 00 8 .1953E-07 1.1860E 00 1 .1199 t -Ob 1.2049E 00 1 .4283E-06

1.2394E 00 2.2275E-06 1.26POE 00 3 .0596E-06 1.2939E 00 4 .8059E-06 1.3135E 00 6 .6523E-06 1.3272E 00 8 .5966E-06

i . 3 4 6 6 E 00 1 .3908E-05 1.3611E 00 1 .9944E-05 1.3753E 00 3 .7157E-05 1.3833E 00 1 .2060E-04 :.39iOE 00 1 .9429E-03

1.3998E 00 2 .6416E-02 1.4641E 00 9.928YE-02 1.4064E 00 1 .9277E-01

i . i 8 6 O E 00 3.1363E-05 1 .2049E 00 4.0155E-05

1.2394E 00 6 .3284E-05 1.2630E 00 8.7960E-05 1.2939E 00 1 .4235E-04 ... ~ ~ .. ~~

1 .3135E 00 2 .1090E-04 1.3272E 00 3 .4960E-04

1.3486E 00 2.4260E-03 1.3486E 00 2 .7153E-04 1.3611E 00 1.126OE-03 1 .3753E 00 1 .0365E-02 1 .3832E 00 3 .4755E-02

1.3611E 00 1 .0731E-02 1.3753E 00 5.3065E-02 1.3832E 00 1 .1987E-01 1 . 3 8 3 ~ ~ 00 I.OLB~E-OZ

1 .3920E 00 5 .1886E-02 i . 3 9 1 9 E 00 2 .1207E-01

1 .3995E 00 5 .2529E-01 1.4035E 00 7 .3025E-01

1.3920E 00 1 . 1 5 7 5 E - 0 1

1 .3997E 00 3 .1920E-01 1.3998E 00 1 .9394E-01 1.404OE 00 3 .7575E-01 1 .4063E 00 5.2319E-01 1.4086C 00 7 .2861E-01

1 .4039E 00 5 .2390E-01 1 .4061E 00 6 .7131E-01 1.4084E 00 8 .6028E-01

1 .4057E 00 8.6110E-01 1 .4078E 00 1.0155E 00 1 . 4 0 8 9 ~ oc 1 . 1 0 2 7 ~ 00

~ ~ . . 1.4088E 00 3 .7 *44E-01 1 . 4 l G l E 00 5 .2193E-01

1.4114E 00 7 .2758E-01

l . 4 0 9 5 E 00 9 .7390E-01

1.4107E 00 1 .1025E 00 1.4113E 00 1 .1731E 00

1.4098E 00 8.5987E-01

1.4110E 00 1.0148E 00 1.4117E 00 1.1025E 00 1.412OE 00 1 .1587E 00 1.4125E 00 1.2381E 00 1.4128E 00 1.2798E 00

1.4121E 00 8 .5907E-01 l . 4 1 2 5 E 00 9.4911E-01 1.4130E 00 1.084OE 00

1.4117E 00 1 .2176E 00 1 .4122E 00 1 .2796E 00 1.4124E 00 1 .3117E 00

1.4128E 00 1 .3615E 00 1.4129E 00 1 .3785E 00 1.4130E 00 1 .3871E 00 1.4130E 00 1.3923E 0 0 1.4130E 00 1.3957E 00

1.4130E 00 1 .3982E U O 1.4131E 00 1.4L)OIE 00 1.4131E 00 1 .4015E 00

1.4133; 00 1.1585E 00

i .4137E 00 1.28OOE 00 1.4138E 00 1.3232E 00

1 .4120E 00 1.3778E 00 1 .4121E 00 1.3892E 00 1.4122E OC 1 . 3 9 5 U E 00 1 .4122E 00 1 .3964E 00 1.4122E EO 1.40C8E 00

1.4123E 00 1.4024E 00 1.4123E 00 1 .4036E 00 1.4123E 00 1.4046E 00 1 .4123E 00 1.4054E 00

1.4139E 00 1.3454E OC 1.4140E 00 1.3589E O C 1.4140E 00 1 .3679E 00

I .414OE 00 1.3744E 00 1.4140E 00 1 .3793E 00 1.4140E 00 1.3831E 00 1.414OE 00 1 .3862E 00 1.4141E 00 1.4141E 00

1.4135E 00 1.3936E 00 1.4135E 00 1 .3961E 00 1 .4135E 00 1.3980E 00 1.4135E 00 1.399bE 00 1.4136E 00 1.4136E 00 1.4124E 00 1 .4124E 00

T A U = 239.0

I 5 .2727E-09 2 .7947E-08

L 0.01 0.05 0.10 0.2G 0.30

x 1 .0091E 00 1.0330E 00 1.0545E 00 1.0866E 00 1.1112E 00

4.4712E-08 1 .1676E-07 1 .7029E-07

2.3971E-07 3 .1847E-07 3 .5157E-07 5 .0601E-07 7.82 l 6 E - 0 7

9.9C75E-07 1 .3314E-06 2 . 1 2 9 4 t - 0 6 2 .9376E-06

0.40 0.50 0.60 0.80 1 .00

1.1311E 00 l . 1 4 7 8 E 00 l . 1 6 2 3 E 00 l . 186OE 00 1 .2049E 00

1.50 2.00 3.00 4.00

1.2394E 00 1.2630E 00 1 .2939E 00 1.3135E 00

5.00

7.50

1.3272E 00

1 .3456E 00

3.81C6E-06

6.1783E-06 10.00 15.00 20. on

1 .3611E 00 1.3753E 00 1.3833E 00 1.3920E 00

1.3998E 00 1.4041E 00 1.4064E 00 1.4088E 00 1.4101E 00

8 .855bE-06 1 .5b41E-05 3.3762E-05

30.00 5.5138E-04

50.00 75.00

100.00 150.00 200 .00

300.00 400.00 500.00 750.00 1000.00

ioOO.OO 3000.00 4000.00

1.2134E-02 5.9049E-02 1 .3053E-01 2 .8872E-01 4 .2941E-01

6.3889E-01 7 .7927E-01 8.77YOE-01 1.0291E 00 1.1142E 00

1 .2553E 00 1 .3061E 00 1.3324E 00 1 .3483E 00 1 .3591E 00

1 .4114E 00 1.4121E 00 1 .4125E 00 1.4130E 00 1.4133E 00

1 .4137E 00 1.4139E 00 1.4140E 00 1.4140E 00

. .. 5000.00 6OCO.00

70C0.00

I . 4 1 4 0 E 00

1.4141E 00 1.3668E 00 1.3721E 00 1.3772E 00 1.3809E 00 1 .4142E 00

80C0.00 9000.00

10000.00

I . 4 1 4 1 E 00 1.4141E 00 1.4141E 00

I N F i . 4 1 4 2 ~ 00

I

T 4 U = 0.100

X Y 1.0106E 00 5 .0398E-03

1 4 U * 0.200

I Y

TAU = 0 . 3 0 0

x V

O M E G A = 0.60 1 4 U = 0.050

L 0.01 0.05 C.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1 .50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.CO 75.00

100.00 150 .00 2CO.00

300.00 *00.00 500.00 150.CO 10C0.00

ZOCO. 00 3000.00 400C.CO 5000 .00 6 0 0 0 . 6 0

7000.00 80c0.00 ? o c o . o o

30000 .00 I N F

X Y 1.0104E 00 1.329LE-02 1.0101E 00 3.1080E-03

1 .03811 00 3 .94161-02 1 .0506E 00 1.7693E-01

l .O lO8E 00 2 .99368-03 1.0390E 00 1.9314E-02 1.0626E 00 8 .6299E-02 I .0903E 00 2 .90278-01 1.1050E 00 4 .5375E-01

l . l l 4 O E 00 5 .70301-01 1.1200E 00 6 .5506E-01 1.1243E 00 7 .18048-01 L.1301E 00 0 .0181E-01 1 .13318 00 8 . 6 6 6 3 E - 0 1

1 .1389E 00 9 . 5 2 0 l E - 0 1 1.1416E 00 9 .9802E-01 1.1443E 00 1 . 0 4 6 3 1 00 i .1458E 00 1.0713E 00 1.1466E 00 1.0866E 00

1.1418E 00 1 .1074E 00 1.1484E 00 1 .1179E 00 1.1490E 00 1.1285E 00 1.1493E 00 1.1339E 00 1.14958 00 1 . 1 3 9 3 1 00

1 .0277E 00 3 .9236E-01 1.0334E 00 6 .3793E-01 1.0370E 00 8 .1466E-01

1 .0346E 00 1 .6123E-01 l . 0 4 7 1 E 00 4 .0834E-01 1 .0564E 00 6 .5879E-01 1 .06028 00 7 . 1 3 7 2 8 - 0 1

1.0787E 00 i . 3 k i E - O i l . 0 8 8 2 E 00 5 .9161E-01 1.0383E 00 8 . 8 4 0 1 1 - 0 1

1 1 0 9 3 7 E 00 6 .92091-01 1.0972E 00 7 .60741-01 1.0997E 00 8.1038E-01 1.1030E 00 8 .1118E-01 1.1050E 00 9.1997E-01

1.1018E 00 9 .80381-01 1.1092E 00 l . 0 1 2 1 E 00 1 . 1 1 0 7 1 00 1.0449E 00 I . 1 1 1 5 E 00 1.0617E 00 1 .1119E 00 I . 0 7 1 9 E 00

1.0390E 00 9 .20898-01 1.0394E 00 9 . + 3 l l E - 0 1 i . 0 3 9 1 1 00 9 .59348-01 1.OkOlE 00 9 .191bE-01 1.0403E 00 9 .9126E-01

1.0406E 00 1 .0076E 00 1.0407E 00 1.0159E 00 1.0409E 00 1 .0243E 00 1.0409E 00 1 .0285E 00 l .041OE 00 I . 0 3 1 0 E 00

1.062ZE 00 0 .3868E-01 1.0635E 00 8 .8030E-01 1 .0644E 00 9 .0922E-01 1 .0655E 00 9.4673E-01 1.066ZE 00 9.6999E-01

1 .0671E 00 1 .0019E 00 1 . 0 6 7 6 1 00 L .O l83E 00 L.Ob8OE 00 1 . 0 3 4 9 1 00 1.0683E 00 I . 0 4 3 3 E 00 l .Ob84E 00 1 .0484E 00

l .041OE 00 1 . 0 3 4 4 1 00 1 . 0 4 l l E 00 1 . 0 3 b l E 00 1.Ck11E 00 1 .0370E 00 l .OkL1E 00 1 .0386E 00 1.0411E 00 1.0395E 00

1 .0686E 00 1.0552E 00 1 .0687E 00 1.0586E 00 1.0688E 00 1 .0621E 00 1.0688E 00 1.0638E 00 I .Ob89E 00 1 .0655E 00

1 .06891 00 1 .0669E 00 1.0690E 00 1 .0616E 00 1.0690E 00 1 .0680E 00 1.0690E 00 1 .0683E 00 1.069OE 00 1.0685E 00

1.0690E 00 1.0686E 00 1.0690E 00 1 .0681E 0 0 1.0690E 0 0 l .Ob88E 00 1 .0690E 0 0 1.0689E 00 1.0690E 00 l .Ob89E 00

1.1125E 00 L.0857E 00 1.1128E 00 1.0926E 00 1 .1131E 00 1.0996E 00 1 . 1 1 3 3 1 00 1.1031E 00 1.1134E 00 1.1066E 00

1.0411E 00 I . 0 4 0 1 E 00 1 . 0 4 1 2 1 00 1 .0405E 00 1 .0412E 00 1 .04C lE 00 1 .0412E 00 1.0408E 00 1.04LZE 00 1.0409E 00

1 .0412E 00 1.041CE 00 1 .041ZE 00 1.041CE 00 1.0412E 00 1.0411E 00 1 .0412E 00 1.0411E 00 1 .0412E 00 1 .041 IE 0 0

I . 1 1 3 b E 00 1.1095E 00 1 .1136E 00 1.1109E 00

1.1498E 00 l . 1 4 3 6 E 00 1.1499E 00 1 1 1 4 5 8 8 00

1 .1136E 00 1 .1116E 00 1.1131E 00 1.1123E 00 1 .1137E 00 1.1127E 00

1.1500E 00 1.1469E 00 1.1500E 00 1.1400E 00 1.1501E 00 1.1485E 00

1.1137E 00 1.1130E 00 1 .1131E 00 1.1132E 00 1.1131C 00 1.1133E 00 1.1131E 00 1.1135E 00 1.1137E 00 1.1135E 00

1 .1137E 00 1 . l l 3 6 E 00

1.1501E 00 1.1491E 00 1.1501E 00 1.1493E 00 1.15OIE 00 1 .1495E 0 0 1.1501E 00 1 .1497E 00 1.1501E 00 1.1498E 00

1 .0412E 00 1.041;E 00 1.0412E 00 1 .0411E 00 1 . 0 4 l Z E 00 1.0412E 00 I .0412E 00 1 .0412E 00 1.0412E 00 1 . 0 4 l Z E 00

1.0690E 0 0 1 .0689E 00 1.1501E 00 1.1500E 00 i . 0 6 9 0 E 00 1 .ObPOE 00 1.0690E 00 1 .0690E 00 1.0690E 00 1 .0690E 00

~~

1 . 1 1 3 7 ~ 00 1 . 1 1 3 7 ~ 00 1 . 1 1 3 1 E 00 1 . 1 1 3 l E 00 1.1131E 00 1.1137E 00

1.1501E 00 1.1500E 00 1.1501E 00 1.1501E 00 1.1501E 00 1 .1501E 00

1.0690E 00 1.069CE 00 1 .1137E 00 l . l l J 7 E 00

1.1131E 00 1.1137E 00

1 .15OlE 00 1.1501E 00

1.1501E 00 1.1501E 00 1.0412E 00 l . 0 4 1 2 E 00 1 .0690E 00 1.069C.E 00 1.0412E 00 1 .0412E 00 1 .0412E 00 1 .0412E 00 1.0412E 00 1 .0412E 00

L.Ob90E 00 1.069OE 00 1.0690E 00 1.0690E 00 1 .0690E 0 0 1.0690E 0 0

1.1131E 00 1 . 1 1 3 l E 00 l . l ? O l € 00 1.1501E 00 1.1131E 00 1.1131E 00 1 . 1 5 0 i E 00 1 . 1 5 0 1 t 00 1 .1131E 00 l r l l 3 7 E 00 1 .1501E 00 1.1501C 00 1 . 1 1 3 l E 00 1 . 1 1 3 l E 00 1.1501E 00 1.1501E 00 1.0412E 00 1 .0412E 00 1 .0690E 00 I . 0 6 9 0 E 00

1 b U = 0.400

X Y

TAU = 0.500 TAU = 0.600 1 4 U = 0.800

I X Y 1.0111E 00 1.5181E-03 1.0402E 00 0.1199E-03 1.0666E 00 1 .8211E-02 :.1056E 00 6 .0442E-02 1.1334E 00 1 . 3 1 1 9 E - 0 1

1.1539E 00 2 .2592E-01 1.1694E 00 3 .1181E-01 1 . l 815E 00 3 . 8 9 6 4 E - 0 1 1.1990E 00 5 . 1 8 8 1 E - 0 1 1.211OE 00 6 .1829E-01

0 . 0 1 0.05 0 . 1 0 0.20 0.30

l . C l O 9 E 00 2.5232E-03 1.0394E 00 1 .4292E-02 l . 0 6 4 4 E 00 4 .9445E-02 1 .0961E 00 1 . 9 8 8 l E - 0 1 1 .1151E 00 3 .5022E-01

1.1219E 00 4 . 1 0 5 3 E - 0 1 1.1363E CO 5 .6354E-01 1.1424E 00 6 . 3 6 2 9 E - 0 1 1.1508E 00 1 . 4 1 4 5 E - 0 1 1 .1562E 00 8.132OE-01

1 .1639E 00 9 . 2 0 3 l E - 0 1 1.168OE 00 9.1938E-01 1.1722E 00 1.0424E PO :.1144E 00 1.0154E 00 1.1157E 00 1.0958E 00

1.1116E 00 I . 1 2 3 S E 00 1 .1785E 00 1.1377E 00 I . 1 1 9 4 E 00 1.1520E 00 1 .1198E 00 l r 1 5 9 2 E 00 1.1803E 00 1.1669E 00

0.40 0.50 0.60 C.80 1.00

1 .50 2 . C O 3.00 4.00 5 . 0 0

1.1311E 00 3 .8929E-01 1 . 1 4 8 3 8 00 4 . 8 4 9 9 E - 0 1 1 .1561E 00 5 . 6 2 7 5 1 - 0 1 1 .1610E 0 0 6 .1919E-01 1 .1142E 00 1 .6112E-01

1 .1845E 0 0 0 .8694E-01 1 . 1 9 O l E 00 9 .5188E-01 1.L960E 0 0 1 .0348E 00 1.1990E 0 0 1.0156E 00 1.2OOBE 00 1 .1009E 00

l . 1 4 4 8 E 00 3 .2325E-01 1.1572E 00 4 .1186E-01 1 .1667E 00 4 .9764E-01 1.18OOE 00 6.2134E-01 1.1889E 00 7 .1108F-01

1.2019E 00 R.5213E-01 1.2090E 00 9 .3447E-01 1 . 2 l b 5 E 00 1.0145E 00 1.2204E 00 1.0729E 00 1.2228E 00 1.1030E 00

I.iZ6lE 00 1.1447E 00

1 .2292E 00 1 . 8 4 l L E - 0 1 1.2393E 00 8 .8428E-01 l . i S O 2 E 00 9 . 9 8 1 2 E - 0 1 1.25608 00 1.0607E 00 1 .2595E 00 1.1003E 00

1.2644E 00 1 .1554E 00 1 .50 l C . O O 15.00 20.00 30.00

50.00 15.00

ICO.OO 150 .00 iOO.OO

1.7036E 00 1.L356E 00 .E 00 1.2270E 00 1 . 1 6 6 l E 00

1 .2294E 00 1.1879E 00 1.2303E 00 1 .1990E 00

1.2669E 00 l . 1 8 4 t E 00 1.26948 00 1 . 2 1 3 5 1 00 1 .2101E 00 1.2285E 00

1.2311E 00 1.21OZE 00 l .272OE 00 1.2437E 00

I . 1 8 0 7 E 00 1.1724E 00 1 .1809E 00 1.1153E 00 1 .10 lOE 00 1 .1168E 00 l . 1 8 l l E 00 1.1783E 00 1 . 1 8 l l E 00 1.1190E 00

1 . 1 8 l Z E 30 1 .1798E 00

1.2C18E 00 1 .1973E 00 l.2318E 00 1.2192E 00 1 .2322E 00 1.2237E 00 1.2324E 00 1.2260E 00 1.2325E 00 1.2283E 00 1 . i 3 2 6 E 00 1.2294E 00

1.2327E 00 1.2306E 00 1.2321E 00 1.2312E 00 1 .2328E 00 1.2515E 00 1.2328E 00 1.23201 00 1 .2328E 00 1.2322E 00

1 .2328E 00 1.23251 00 1.2329E 00 1.2326E 00 L.2329E 00 1 .23Z lE 00 1.2329E 00 1.2327E 00 1 . i329E 00 1.2328E 00

1.2329E 00 l .232BE 00 1.2329E 00 1.2328E 00 I . 2 3 2 9 E 00 1.2328E 00 1 .2329E 00 1.2328E 00 1 . i 3 2 9 E 00 1 .23298 00

1.2131E 00 1.2560E 00 1.2136E 00 1 . 2 6 2 1 1 00 1.2738E 00 l . 2 6 5 3 E 00 1.2741E 00 1.2684E 00 1.27428 00 1.2699E 00

l .208OE 0 0 1.201OE 00 l . 2 0 8 1 E 00 1 .2029E 00 1.2083E 00 l .ZO48E 00 1 .2083E 00 1 . 2 0 5 l E 00

L.2084E 00 1.2067E 00 3CO.00 400.00 5C0.00 150 .00 10c0.00

2000 .00 3000.00 40C0.00 5000.00 6000 .00

1.2744E 00 1.2715E 00 l .2744E 00 1.2123E 00 1.2145E 00 1 . 2 7 2 l E 00 1 .27451 00 1.2734E 00 1.2745E 00 1 .2137E 00

1.2746E 00 1.2742E 00 1.2146E 00 1 .2143E 00 1.2146E 00 1.2144E 00 I .27CbE 00 1 1 2 7 4 4 8 00 1.27468 00 1.2745E 00

1.2746E 00 1.2145E 00 1.2746E 00 1.2145E 00 1.2146E 00 1 .21558 00 1 .27461 00 1 . 2 7 4 5 1 00 1.2746E 00 1.2146E 00

l . 1 8 1 2 E 00 1 .18OlE 00 1.1812E 00 1.18C4E 00 1.1812E 00 l . 1 8 O l E 00

L.2084E 00 1 .2071E 00 1 .2085E 00 1 .2014E 00 1.2085E 00 1 .2018E 00 1 .2085E 00 1.208OE 00 1.1812E 00 1. lBOBE 00

l . 1 8 I Z E 00 L.181OE 00 1.1812E 00 1 . l B l l E 00 l . 1 I I Z E 00 1 . 1 8 l i E 00 1 . 1 8 l Z E 00 1 .1812E J O 1 . 1 8 l Z E 00 1.1812E 00

1.1812E 00 1.181ZE 00 ?.1812E 00 1 . 1 8 l Z E 00 1 .1812E 00 l . 1 8 1 2 E 00 1.L81ZE 00 1 .1812E 00 i . 1 8 l i E C O 1.181ZE 00

1 .2085E 00 1 .2083E 00 1 .2085E 00 1 .2084E 00 l . 2 0 8 5 E 00 1.2084E 00 1 .2085E 00 1 .20848 00 1 .2085E 00 1 .2084E 00

7000 .00 80c0.00 9000.00

10000. co I N F

57

. . . ..... _. .

1 4 U = 1 .500

X Y 1 .0111E 00 7 .9326E-04 1.0407E 00 4.2235E-03 1 .0676E 00 9.0721E-03 1 .1084E 00 2.150bE-02 1 .1396E 00 4 .2843E-02

TAU = 2.000

X Y 1 .0112E 00 5.4035E-04 l.04OBE 00 2.8b57E-03 I .Cb79E 00 6 1 1 1 8 6 E - 0 3 1.1090E 00 1 .3944E-02 1 .1407E 00 2 .5066E-02

r A U = 2.500

X Y 1.0112E 0 0 3.8279E-04

OMEG4 = 0.60 1 4 U = 1 .000

2 0.01 0.05 0.10 0.20 0.30

0.40 0.50 O.bO 0.80 1.00

1.5C 2.00 3.00 4.00 5.00

7.50 1o.oc 15 .00 20.00 30.00

50.00 7 5 s 00

lCC.00 150 .00 2 0 0 . 0 0

3CO.00 4co.00 500.00 150 .00

1000.00

2OCO.00 3000.00 4000.00 50C0.00 6000.00

70CO.OC 80C0.00 90CO.00

:oooo. 00 I I i F

1.0409E 00 2.0242E-03

1.1092E 00 9 .6765E-03 1.1411E 00 l .bbO2E-02

i . obnoE 00 4.30~6~-03

L.1590E 00 l . b l 2 4 E - 0 1 1 .1767E 00 2 .3478E-01 1 .1908E 00 3 .0610E-01 1 .2117E 00 4 . 3 2 5 4 E - 0 1 1.2265E 00 5 .3575E-01

1 .1646E 00 7 .7035E-02 1 .1852E 00 1 .2140E-01 1 .2023E 00 1 .7136E-01 1 .2289E 00 2 . 7 4 9 E - 0 1 1 .248bE 00 3 .7149E-01

1 .2807E 00 5 .6569E-01 1 .299% 00 7 .0263E-01 1 .321bE 00 8 .7599E-01 1 .3335E 00 9 .7933E-01 1 .3411E 00 1 .3475E 0 0

1.351bE 00 1 .1463E 00 1 .3571E 00 1 .1993E 00 1.3b78E 00 1 .2549E 00

1.1b65E 00 4.2675E-02 1.1882E 00 6 .8070E-02 l . 2ObbE 00 1.00: lE-Ol 1 .2362E 00 1 .7598E-01 1.2587E 00 2.5b61E-01

1.2970E 00 4 .4027E-01 1 .3207E 00 5 .8427E-01 1.3483E 00 7 .8091E-01 1.3b39E CO 9 .04938-01 1.3739E CO 9 .8928E-01

i . 3 8 8 1 E 00 l . l l 4 9 E 00 1 .3955E 00 1.1840E 00 1.4032E 00 1.2576E 00 1 .4072E 00 1.2961E 00 1 .4112E 00 1.3359E 00

I . l b 7 3 E 00 2 .6621E-02 1.1894E 00 4 .L393E-02 1.2084E 00 6 .1417E-02 1.2394E 00 1 .1443E-01 1.2b36E 00 1 .7754E-01

1 .30571 00 3 .4001E-01 1 .332bE 00 4 .8112E-01 1 .3648E 00 6.8887E-01 1.383CE 00 8 .2740E-01 1.3954E 00 9 .2455E-0 i

1 .2494E OC 7 .1729E-01 1.2624E 00 8 .3201E-01 1.276bE C O 9 .bb50E-01 .~ 1.2842E 00 l . 0 4 2 2 E 00 1.2889E 00 1 .090bE 00

1.2955E 00 1.1589E 00 1.412bE 00 1.0733E 00 I .4218E 00 1.1570E 00 1.4313E 00 1.2475E 00 1.4362E CO 1.2955E OC 1.4412E 00 1.3455E OC

1.2988E 00 1.1947E 00 1 .3022E 00 1.2311E 00 1 .3040E 00 1.2506E 00 1.3057E 00 I . 2 b 9 9 E 00

~ . - ~ ~ ~. ... ~

1.3b56E 00 1 .2838E 00 1.3685E 00 1 .3133E 00

I .3071E 00 1.2855E 00 1.3078E 00 1.2934E 00

1.4145E 00 1.3687E 00 1.4453E 00 1.3369E 00 1.4161E 00 1 .3854F 00 1.4170E 00 1.3Y39E 00 l . 4 1 7 8 E 00 1 .4024E 00

1.4474E 00 1.4082E 00 1.4465E 00 :.4189E 00 1.4495E 00 1.4297E 00

1.3082E 00 1.2973E 00 1.3086E 00 1 .3013E 00 1.3087E 00 1 .3033E 00

1 . 3 0 8 9 ~ 00 1 . 3 0 5 3 ~ 00 1 .3090E 00 1 .30b3E 00 i.309;E 00 1 .30b9E 00 1 .3091E 00 1.3077E 00 1 . 3 0 9 2 ~ 00 1 . 3 0 8 1 ~ 00

?.3092E 00 1.3087E 00 1 .3092E 00 1 .3089E 00 1 .3093E 00 1.3090E 00 L.3093E 00 1.309UE 00 1.3093E 00 1 .3091E 00

1 .3093E 00 1 .3091E 00 1.3093E 00 1.3C91E 0 0 1.3093E 00 1 .3091F 0 0

1.4182E 00 l . 4ObbE 00

1.4186E 00 1.4109E 00

1.4500E 00 1 .4352E 00

1.4506E 00 1 .4406E OC 1 .3739E 00 1 .3683E 00 1 .3741E 00 1 . 3 6 9 8 t 00 1 .3741E 0 0 1 .3708E 0 0 1.3743E 00 1.372Of 0 0 1 .3743E 00 1 .372bE 0 0

1.4508E 00 l . 4 4 1 4 E 00 1.4510E 00 i . 445OE 00 1.4512E 00 1.4472E OC 1.4513E 00 1.4483E 00

1 .3744E 0 0 1 .3736E 00 1.3744E 00 1 .3739E 00 1 .3745E 00 1.3740E 00 1.3745E 00 1 .3141E 0 0 1 .3745E 0 3 1 .3742E 00

1.3745E 00 1 .3742E 0 0 1.3745E 00 1 .3743E 0 0 1 . 3 7 4 5 t 00 1 . 3 7 4 3 1 0 0 1 . 3 7 4 5 k 00 1 . 3 7 4 3 t 00 1 .3745E 0 0 1 .3745E 00

1 .4194E 00 1.4182E 00 1.4194E 00 1 . 4 1 8 6 f 00 1.4194E 00 1 .4188E 00 1 .4194E 00 1.4190E 00 1.4194E 00 1.4191E 00

1 .4194E 00 1 .4191E 00 1.4195E 00 1.4192E 00 1.4195E 00 1.4192E 00 1.4195E 00 1.4192E 00 1 . 4 1 9 5 t 00 1.4195E 00

1.451% 00 1.4500E 00 1.4515E 00 1.4505E 00 :.4515E 00 1 .4508E 00 ?.*516E 00 1.4510E 00 1.4516E 00 1.4511E 00

1.4516E 00 1.4511E 00 1.4516E 00 1.4512E 00 I . 4 5 l b E 00 I .4512E 00 1.451bE 00 1.4513E OC 1.4516E 00 1.4516E 00

. . .~ ~ . ~ ~

1 .30932 00 1.3092E 00 1 .3093E 00 1.3093E 00

1 4 U = 3.000 1 4 U = 3.500

X Y 1 .0112E 00 2.089PE-04 1.0409E 00 1 .1005E-03 1 .0b81E 00 2 .3264E-03 l . l O 9 4 E 00 5 . 1 5 b l E - 0 3 1 .1415E 0 0 8 .568bF-03

1 4 U = 4.000

X Y l . 0 1 1 2 E 00 1 .5973E-04 1.0409E 00 8 .3964E-04 1.C681E 00 1.7713E-03 1.1095E 00 3 .9045E-03 I . 1415E CO 6.4402E-03

1 . i b 7 9 E CO 9 .5199E-03 1 .1904E 00 1 .3494E-02

1 .2421E 00 3.5717E-02 1.267YC 00 b . L 4 l b E - 0 2

1 . 2 ~ 9 8 ~ 00 i . a a q o ~ - o ~

TAU = 4 . 5 0 0

2 0.01 0.05 0.10 0.x 0.30

c.*o 0 .50 0.6C C.80 1.co

1.50 2 .00 3.00 4.00 5.00

7.5c

1.0112E 00 2 .7936E-04 1.0409E 00 1.474LE-03 1.Cb8OE 00 3 .1246E-03 1 .1094E 00 b . 9 b 7 2 C - 0 1 1.1414E 00 1 .1708E-02

!.0112E 00 1 .244LE-04 r .0409E 00 6 .5309E-04 l . O t 8 1 E 00 1 .3750E-03 1.1095E 00 3 .0170E-03 1.1416E 00 4 .9470E-03

i . 1 6 n o ~ 00 7 . 2 3 9 8 ~ - 0 3 1.1904E J O L.OO82E-02 1.2CY9E 00 1.3812E-02 1 .24 i3E 00 2 .5449E-02 1.2683E CO 4 . 4 1 0 8 t - 0 2

1.1517E 00 L.801bE-02 1.1899E 00 2 .7025E-02 1.2092E CC 3 .9613E-02 I . 2 4 0 9 E 00 7 .5859E-02 1.26bOE 00 1 .2353E-01

1 .3106E 00 2 .b139E-01 L.3397E C O 3 . 9 3 C l E - 0 1 1 .3753E 00 6 .0334E-01 1 .3961E 00 7 .5115E-01 1.4098E 00 8 .5800E-C1

1 .1673E 00 1.28bOE-02 1 .1902E 00 1 .8681E-02 1 .2096E 00 2 .6785E-32 1.2417E 00 5 .1422E-02 1.2673E 00 8.6bZhE-OL

1 .3133E 0 0 2 .004bE-01 1.3439E 00 3 . 2 0 5 8 L - 0 1 1.382OE 00 5 . 2 5 7 7 E - 0 1 I . 4 0 4 b E 0 0 6 . 7 8 5 0 E - 0 1 l r 4 1 9 b E 00 7 .9233E-01

1 .4415E 05 9 . 7 6 4 9 C - 0 i 1 .4533E 00 1.0850E 00 1 .4658E 00 1.2ObZE 00 1 . 4 7 2 2 ~ 0 '3 1 . 2 7 2 ~ ~ 00

1.3149E 00 1 .5362E-01 1 .34bbE 00 2 .6032E-01 i . 3 t l b 4 i 00 4 . 5 6 + 8 ~ - 0 1

1.3158E 00 1 .1778E-01 1.3412E 00 2 .1097E-01 1.3894E 00 3 .9525E-01

1 .4104E 00 b . iOb5E-01 1 .4265E 00 7 .2909E-01

1 .4500E 00 9.2bOBE-01 1 . 4 6 2 9 6 00 1.0448E 00 :.4765E 00 1.179bE 00 1.4836E 00 1.2537E 00 1.4910E 00 1.33PaE 00

1.4970E 00 1 .3995E 00 1 .5001E 00 1 .4342E 00

1.4145E 00 5.4809C-01 1.4313E 00 b .6913E-01

1.4563E 00 8 . 7 b l O E - 0 1 1.4295E 0 0 1.02b2E 00 1 0 . L O i 5 . 0 0 20. uc

1 .44C lE 00 1.123;E 00 ;.4513E 00 1.229I.F 00 ..4570E OC 1 . 2 8 t S E G O

:.4700E 00 1.0038E 00 1.4846E 00 1.15LOE 00 1.4922E 00 1.2329E 00

;0.00

50. 00 75.00

;.4629E 00 1.3LbLIE 00

1.4b77E 00 1.3Yb5E 00

1 . 4 7 8 9 ~ 00 i . 3 + 1 5 ~ 00

i.48441 0 3 1 .4000E 00

1.5002E 00 1.3209E 00

;.5Ob7E 00 1.3959E 00 :.5100E 00 1.4351E OC 1.4872E 00 1.4303E 00

1.4886E 00 1.4*57E 0 0 1 .4900E 00 l . 4 b l 2 E 00 1.4907E 00 1.669CE 00

I C O . 0 C 150.CO 2CO.00

1 . 5 0 1 6 t 00 1.4519E 00 1.5032E G O 1.4698E 00 1.5040C 00 1.'788E 00

1.5047E 00 1.4879E 00 1 . 5 0 5 l C 30 l . kY25E 00 1.5054E 00 1 .4953F 00 1.5057L 00 L .49d9E 00 i . 5 0 5 8 ~ 00 1 . 5 0 0 8 ~ 00

i . 5 1 i 7 E 00 l . 4 5 5 1 E 00 1.5134E 00 1.4754E 00 i .5142E 00 :.4856E 00

1.515LE 00 1 .4959E OC 1.5155E 00 1.5011E 00 1.5158E 00 1 .5043C 00 i .5 ib;F 00 1.5084E 00 1.5163F 00 1.5105E 00

1.51666 00 L.5137E OC 1.516bE 00 i . 5147E OC L . 5 i b l F 00 1.5:52E 00 1 .51076 00 1 .5156E 00 i . 51b7F 30 1.515AF OC

300.00 400.00 5 0 0 . 0 0 75C.00

1 0 0 0 . 0 0

1.4739E 00 1 .4617E C O 1.4742E CO 1 . 4 6 5 l E 00 1 .4744E 00 l . 4 4 7 i E 00 1.4747E 00 1 .469aE 00 > .4748 t 00 I . 4 7 i l F 00

1 .4750E 3 G 1 .4732E 00 1 .4750E 00 1 .4738E 00 1.4751E 00 1.4742E 00 1 .4751E 00 1.474'+E CO 1.4751E '3C 1 . 4 7 4 5 E 0 0

1 .4914E 00 l . 4 7 6 9 E 00 1 .4918E 00 1 .4809E 00 1 . *920€ 00 1 .4833E 00 1 .6923E 00 1 .4bb4E 00 1 .4924E 00 l . i B 8 O E 00

2 0 0 0 . 0 0 30C0.00 400'2. 00

1.4926E 00 1 .4904E 0 0 1.4927E 00 1.4912E 00 1.4927E 00 L .4916E 00 1 .4927E 0 0 1.4919E 00 1.492RE 00 1 .4920E 00

5000 .00 6 O O O . C O

7 0 0 0 . 0 0 1 .4751E 00 1.4745E OC 1.4151E 00 1.4747: OC 1.4751E 00 l . 4 7 4 7 E 00 1.4751E 00 1.4749E 00

I . 5 O b 3 t 00 1.5063E 00 1.5063E 00 1 . 5 0 6 3 i 00

. .5055 t 00 . 5 0 5 b E 00 .5057F 00 . 5 0 5 8 € 00 .5063E 00

80c0.00 90c0.00

1 0 0 0 0 . co I V F 1 .4752E 00 1.4752E 00 I .4928E 00 1 .4928E 00 1 . 5 0 6 3 t 00 1.5;66f 00 1.5168E 00

58

T A U = 1 .500

X Y 1.0112E 00 3 .79908-05

T A U = 10.00 T A U = 15.00

X Y

O P F G A = 0.60 T A U - 5.000

1 0.01 0.05 0.10 0.20 0.30

x Y 1 .8893E-05 V . 8 2 0 6 E - 0 5 2 .0409E-04 4.3522E-04 6 . 9 0 4 l E - 0 4

X Y l . O l 1 2 E 00 9 .8602E-05 1 .0409E 00 5 .1689E-04 1 .0681E 00 1 .0863E-03 1.1095E 00 2.3131E-03 1.1416E 00 3.8129E-03

1.0112E 00 1.0409E 00 1.OLBlE 00

1.0112E 00 1 . 0 8 8 l E - 0 6 1.0409E 00 3 . lOOlE-05 1 .Obh lE 00 1 .6498E-05 1.1095E 00 1 . 6 1 5 3 E - 0 4 1 .141 lE 00 2 . 5 3 5 8 8 - 0 4

1.0'109E 00 1 .9841E-04 l .Ob81E 00 4 . 1 4 0 3 E - 0 4 I . 1 0 9 5 E 00 8 .9106E-04 1 .1416E 00 1 .4284E-03

1.1osSE 00 1.1411E 00

l . 1 6 8 1 E 00 3 .5210C-04 1.1906E 00 4.5693E-04 1 . 2 I O l E 00 5 .6809E-04 1.2426E 00 8 . 1 0 5 6 E - 0 4 1 . 2 6 ~ 8 ~ 00 1 . 0 8 4 2 ~ - 0 3

0.40 0 . 5 0 0.60 0.80 1.00

1 . 5 0 2.00 3.00 4 . G O 5.00

I . l b 8 O E 00 5 .62 t5E-03 1.1Y05E 00 1 .1315E-03 1.21OOE 00 1.04:0E-02 1.2424E 00 1.860:E-02 1.2685E 00 3.2145E-02

1 .3164E 00 9 .0463E-02 1.3492E 00 1 .1019E-01 1.3914E 00 3 .4154E-01

I . l b 8 l E 00 2 .0302E-03 1 .190bE 00 2.1059E-03 1 .2101E 00 3 .4139E-03 1 .2426E O U 5 .4540E-03 1 .2688E 00 t1.5316E-03

1 . 3 1 1 3 ~ 00 2 . 5 6 8 0 ~ - 0 2 1 .3510E 00 5 .9593E-02 1 .3953E 00 1 . 6 1 9 4 E - 0 1 1 .4233E 00 2 .1812E-01 1 . 4 4 2 6 1 00 3 .883kE-01

l . 4121E 00 6 .1132E-01

1 . 5 0 6 9 8 00 V .6995E-01 1 .5166E 00 1 . 0 8 P l E 00 1.52bBE 00 1 . 2 2 4 l E 00

1 .53526 00 1 .3450E 00 1 .5396E 00 1.11096E 00 1.5410E 00 1 .4431E 00 1.544OE 30 1.4114E 00 1.5452E 00 1 .4949E 00

i . 4 w a ~ 00 1 . 6 9 3 6 ~ - 0 1

1 . 1 6 8 l E 00 1.1906.E 00 1.2101E 00 1 .24268 00 1.2688E 00

9.6983E-04 1 .214 lE -03 1.6019E-03 2.3833E-03 3.3994E-03

1.3114E 00 1.3512E 00 1 .3961E 00 l . 4 2 4 1 E 00 l . 4 4 4 1 E 00

1.3114E 00 2 .0310E-03 1 .35131 00 4.1533E-03 1.3963E 00 1 .1851E-02 1.4253E 00 4 . 8 8 2 l E - 0 2 1.4457E 00 9 .4195E-02

1.4113E 00 4.90V3E-01 1.4348E 00 6 .1288E-01

1.50 10.00 15.00 20.00 30.00

1.4151E 00 1 .4934E 00 1.5123E 00 1.5235E CO 1.5346E 00

4 . 4 6 i B E - 0 1 6.018OE-01 8 .JO lBE-01 9.1;OPE-Ol 1.1365E 00

i . 4 1 1 l E 00 2 . 3 4 9 6 E - 0 i 1 .4963E 00 3 .1515E-01 1 .5111E 00 6 . 0 2 O l E - 0 1 1 .520bE 00 1 . 6 3 9 0 E - 0 1 1 .5400E 00 9 . 1 0 0 l E - 0 1

50.00 1 5 . 0 0

100 .00 150 .00 200.00

3C0.00 4C0.00 5C0.00 150.0C

,000.00

i . 5 1 4 3 E 10 1.39C2E 00 1.5110E 00 1.4338E 00 1.5196E 00 1 .4561E 00 1.5215E 00 1.4181F 00 1.5224E 30 1.490ZE 00

1.5r4OE 00 1 .5488E 00 1.5513E 00 1.55388 110 1.5551E 00

1.5563E 00

1 .2894E 00 1.3115E 00 1.4116E 00 1.4632E 00 ;.*865E 00

1.5103E 00

1.5635E 00 1.4581E 00

1.5650E 00 1.4942E 00 1.5233E 00 1 .5011E 00 1.5231E 00 1 . 5 0 1 j C 00

1 .5463E 00 1.5126E 00 1.5469E 00 1 .5215E 00 1 .5412E 00 1.5269E 00 1.541bE 00 1 .5341E 00 1 .5419E 00 i . 5 3 1 l E 00

1 .5482E 00 1 .5431E 00

1.5510E 00 1.5513E 00 1.5518E 00

1.5LL3E 00 1.52'45E 00 1 .5392F 00

1.524OE q0 1 .5110E 00 1.5244E 00 1 .5157F 00 1.5246~ 00 1 . 5 1 8 1 ~ 00 1.5581E 00

1.5585€ U O

1.5441E 00

20c0 .00 3000.00 4000.0C 50CO.00 b O C O . LO

1 0 0 0 . 0 0

1 .5248E 00 1 . 5 2 l b E 00 1.5249E 00 1 . 5 2 2 8 E 00 1.5250E 00 1 . 5 2 3 l E 00 1 . 5 l j O E 00 1 . 5 2 3 l E 00

1.5515E 00 1.5614E 00 1.55bbE OC 1.561bE 00 1.5603E 00 1 . 5 b l O L 00 1.5622E 00 1 . 5 b l l E 00 1 . 5 6 3 l E 00 1.5611E 00 1.5641E 00

1 .5483E 00 1.5C4i)E 00 1 . 5 4 8 4 t 0 3 1.545AE 0 0 1 .5484E 00 1 . 5 4 b 4 1 0 0

1 .5586E 00

1.5581E 00 1 . 5 5 8 7 ~ G O

1.553VE 00 1.5532E 00 1.5559E 00

1.5250E 00 1 . 5 2 3 1 1 0 0 1 . 5 4 8 4 f 00 1 .5461E 0 0

1 .5485E 00 1 . 5 4 l C L 0 0

1 . 5 5 8 1 f 00

1.5588E 00 1.55118[ 00 1.558PE G O 1.5588E 00 1 . 5 5 8 9 1 00

1.55b4E 00

1 . 5 2 5 O E 00 1 .5241€ 00 1.5568E 00 1.531OC 00 1.5512E 00 1 . 5 5 f k E 00 1 .5589E 00

1 . 5 b l l E 00 1 .5646E 00 1.5616E 00 1 . 5 6 5 0 f 00 1 .5 t78E 00 1.5b54E 00 :.561HE 00 1.565bE 00 1.5619E 00 1 . 5 b l i l E 00

8 O C O . O G 9 c 0 0 . 0 0

ICOCO. 00

1.525OE 00 1.52GZE 0 0 1.52,lE 10 1 . 5 2 L l E 00 1 .525 !€ 10 1.52L*C 0 0

1 .5485E 00 1 . 5 + 1 2 1 0 0 1 .5485E 0 0 l . L . 4 1 3 f 00 l .>485E 00 1 . 5 L l 5 E 0 0

I Y F 1 .5251E 'IO 1.525;E C O 1.5485E 0 0 . . S L B b t 0 0

30.00 T A U = 20.00

x " T A U = 2 5 . 0 0 T 4 U =

1 x I 1.0112E 00 2.183OE-Ob 1 .040qE 0 0 1 . 1 2 l b C - 0 5 1 . 0 5 8 l E 00 2.3:*9E-05 1 . 1 0 9 5 € 00 4 .815 'E -05 1 . 1 4 1 l E 00 1 . 5 ? 1 6 1 - 0 5

X 1.0112E 00 1.0409E 00 1.C681E 00 1.10Y5E 00 1.1411E 00

Y 1 . *2O lC-06 1.4882E-Ob 1. , 3 9 1 f - 0 5 3.2115E-05 5.011bbE-05

1.0112E 00 1 .1040E-01 l .C*09E 00 3 .9126E-06 1.Ob81E 00 8 . i l 4 1 E - 0 6 1.1095E 00 1 .1014E-05 1 . 1 4 l l E 00 2.64'46E-05

0 .01 0.05 0.10

1.0112E C O 3 .6411C-06 1.C409E CO 1.882dE-CS 1.0681E 10 3 .88b8F-05

1 . 1 4 l l E 00 1 .27b1E-04 1 . 1 0 4 5 ~ 00 n . i i L z c - 0 5 0.20

0. 30

C.40 0.50 0.bO 0 . 8 0 1 .00

1 . 1 6 8 l E CO 1 .1617E-04 1.190bE 00 2 . 2 l b 5 E - 0 1 1 . 2 l C l E 00 2 . 8 1 3 l E - 0 4 1 . 2 * 2 6 f 00 3 . 9 6 0 8 f - 0 4 1.2688E 00 5 . 2 0 8 l E - 0 4

1 . 3 1 1 4 ~ 00 8.rln:)c-04 1.1513E JO 1 .4388E-03 1.3964E 00 4 . 9 3 5 l C - 0 3 1.4254E 00 1 . 5 9 L j C - 0 2 1 .4459F 00 1.683:€-02

1.4181E 1 0 1 . 2 3 2 5 E - 0 1 1 . 4 9 1 0 E 00 2 .3043E-01 1.5185E 00 4 .3459E-01 1.5303E 00 5.9dZUC-01 1 .5430E 00 8 . 2 * 6 i E - 0 1

1 . 1 6 8 l E 0 0 I .C ' tb5E-04 1.17ObE 00 1 .3466E-04 1 . 2 1 O l E 0 0 l . b > 4 l E - O 4 1 . 2 4 2 b t 00 2 . 3 1 1 6 E - 0 4 1 .2688E 011 3.12h5€-04

l . l b 8 l E 00 1. i 9 0 b E JO 1.;101t 00 1 . i 4 2 6 E 00 1.2bLIBL 00

6. 8 t l 34C - 0 5 8 .8400E-05

1.16HlE 00 3 . 6 3 4 5 i - 0 5 1 . i 906E 00 4 .b564E-05 l . 2101E 00 5 . 1 1 1 3 L - 0 5 1 . 2 4 2 b E 110 1 . 9 1 0 0 E - 0 5 1 .2ba8E 00 1 .0216E-04

l .O l7OE-04 1.51 13E-04 1.Y655E-04

1.50 2.00 3.00 4.00 5.00

7 .50 10 .00

1 . 3 1 1 4 f 0 1 5 .O lOZE-04 1 .3513E OJ 1 .446VC-04

1.4254E 0 1 5 . b 1 2 l E - 0 3 1 . 4 4 5 9 E 00 1.*111E-O2

1 . 3 1 6 4 ~ 00 L . R L ~ L E - O ~

1.3114E 00

1.3964E 00 1 .4254L 00

1 . 3 - 1 3 f 00 I .311GE 00 1.6415E-O* ~~~~

1.351,E 00 2 .322bE-04 l . 3Yb l rE 00 3 .9123E-04 1 . 4 i 5 4 E 00 b . lOV3E-04 ~~

1 .4459E 00 6.20'11 C -0 3

3.4164E-02

1.4-59E 00 1 .4281E-03

1.4183E 00 9.1 '188E-03 1 .4183E 00 6 .4140E-02 1 .4913E 00 1 . 4 1 3 1 E - 0 1

1.4783E 00 1.4914E 00 1.5192C ' I O 1 .5314E 00

8.6162C-02 2 .2552E-01 3 .b551E-01

1.4915E 00 3 .2053E-02 1.5194E 00 1 .1690E-01 1.5317E 00 2 .2292E-01

15 .00 20.00 ?O.OO

1.5190E 00 3 .1318E-01 1 . 5 3 l O E 00 6 . 6 1 8 l E - 0 1 1.5441E 00 1 .000bE-01 1.5441E CO 5 .9383E-01

1.5562E 00 I J . l bb9E-01 :.0656E 00 1 . 1 1 4 9 i 00 1 .2955E 00 1.3604E 00

1.5452E 00 4 . 2 6 8 4 E - 0 1

50.00 1.5540E CO l .ObL9E 00 1.5554E 00 9 . 6 1 4 6 E - 0 1 1.5511E 00 1 .1923E-01 1 . i 6 3 4 E 00 9 .3411E-01 1.5661E 00 1 .0641E 00 1 .5100E 00 1.2136E 00 1.51;lE 00 1 . 2 9 5 l E 00

75.60 100.00 1 5 0 . 0 0

1.5597E 30 1 .2139E 00 i . 5 6 2 1 E 00 l r 2 9 4 8 E 00 1.5651E 00 1 .3812E 00

1.5614E 00 1 .1311E 00 1 .5644E 00 1 . 2 3 l R E 00 1 .5616E 00 1 .3181E 00

1 .5623E 00 1.5655E 00 1 .5681E 00

ZOO.OO

3co.00 400.00 500.00 750.00

1000. oo

1.5612E 00 1.4265E 00

1 . 5 6 0 l E 00 1 .4134E 00

1 .5692E 00 1.3935E 00 1.570'rE 00

1.5135E 00 1.3834E 00 1 .5144E 00 1.4294E 00 1.5149E 00 1.4518E 00 L.51568 00 1.4965E 00 i . 5160E 00 1.5162E 00

1.5108E 00 1.4512E 00 1.5116E 00 1.401CE 00 1.5121E 00 1 .4991E 00 1.5121E 00 1 .5237E UO 1.5130E 00 1 .5361E 00

1 .5135E 00 1 . 5 5 4 9 1 00 1.5131E 00 1 .5613E 00 1 .5138E 00 l . > b L 5 E 00 1.513dE 00 1 .5664E 00 1 .5138E 00 1 . 5 6 7 6 8 00

1 . 5 1 2 0 t 00 1 .5729E 00 1.5134E 00 1.5140C 00 1.514'+E 00

i . ~ ~ a b ~ 00 1.464OE 00 r.4836E 00 1.5149E 00 L.52Y8E 00

1 .5695E 00 1 .4914E 00 1.5100E 00 1 .5120E 00 1.5106E 00 1 . 5 3 1 l E 00

1.5149E 00 1.5524E 00 1 .>151E 00 1.5601E 00 1.5151E 00 :.5639: 00 i . 5 1 5 2 E 00 1 .5662F 00 1.5152E 00 1 . 5 6 1 l E 00

1.5165E 00 1 .5463E 00 1.5167E 00 1 .5565E 00 1.5168E 00 1 .5616E 00 1.51b8E 00 1 .5641E 00 1.5169E 00 1 . 5 6 6 l E 00

1.5169E 00 1 .5682E 00 1.5769E 00 1 .5693E 00 1.5169E 00 1.5102E 00 1.5169E 00 1.5108E 00 1.5710E 00 1 ~ 5 1 1 0 E 00

2000.00 30C0.00 LOCC.60 5000.00 6OCO.00

1 0 c 0 . 0 0 R O L 0 . J O qoao.oo

1 .5114E 00 1 .556hE 00 1.5115E 00 1 . 5 6 i l E 00 1.5116E 00 1 .5642E 00 1.5116E 00 1 . 5 6 5 7 8 00 1.5111E 00 1 .5667E 00

1.5111E CO 1.5615E 00 1.5111E 00 1.568OE 00 :.5111E 00 1 .568kE 00 1.5111E 00 1 .5688E QO 1.511AE 00 1.5116E 00

1.5152E 00 1.5153E 00 1.5153E 00 1.5153E 00 1.5154E 00

1.5688E 00 1.5bP6E 00 1.5103E 00 1.5108E 00 1 .5154E 00

1 ooco . 00 I N F

59

I 1111DII

TAU = 75.00

X V 1 .0112E 00 2.4414E-07

TAU = 100.C

X V

TAU = 200.0 OnEG4 = 0.60

T4U = 50.00

L 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.b0 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7 .50 10.00 15.00 20.00 30.00

50.00 75.00

100 .00 150.00 200 .00

3CO.00 400.00 500 .00 750.0C

1000.00

2000 .00 3000.00 LOCO.OO 5000.00 6000 .00

7000 .00 8000.00 9000.0@

100CC.00 I N F

X V 1 .0112E 00 4 .9429E-07 1.0409E 00 2 .5479E-06 1.0681E 00 5 .23888-06 1.1095E 00 1 .0925E-05 1 .1417E 00 1.6927E-05

1.1681E OC 2.3182E-05 1.1906E 00 2.9651E-05

X Y l . O i l 2 E 00 1 .78098-08 1.0409E 00 9 .1919E-08 l .Ob81E 00 1 .8880E-07

l . O l 1 2 E 00 1.4339E-07 1 .0409E 00 7.29BlE-07 1.0681E 00 1.5013E-06

I . 0 4 0 9 E 00 1 .2578E-06 1.0681E 00 2.5843E-Ob 1 .1095E 00 5 .3814E-06

. . . ~ ~ ~ ~ ..... ~. ~~

1.1095E 00 3.1271E-Ob 1.1417E 00 8 .3251E-06

l . 1 6 B l E 00 1 .1384E-05

1 . i 4 1 7 E 00 4.8373E-06

1 .1681E 00 6 .6135E-06 1 . 1 9 0 6 ~ 00 i . * 5 3 8 ~ - 0 5 1.2101E 00 1.7773E-05 1 .2426E 00 7 .4450E-05

1 .1906E 00 8.4442E-06 L.2101E 00 1.0321E-05 1 .2426E 00 1.419ZE-05 1 .2688E 00 1.8193E-05

1.1906E 00 1 .0609E-06 1 . 2 l O i E 00 I .2966E-06 I . 2426E 00 1 .7828E-06

1.2101E 00 3.63C8E-05 l . 2 4 2 6 E 00 5.0113E-05 1 .2688E 00 6 .4494E-05

1 .3174E 00 1 .0263E-04 1 .3513E 00 1 .4363E-04 1.3964E 00 2 . 3 4 6 i E - 0 4 1.4254E 00 3 .4705E-04 1.445% 00 5.4733E-04

1.4783E 00 3.0555E-03 1.4975E 00 1 .2640E-02 1.5194E 00 6.0676E-02 1 .5318E 00 1 .3592E-01 1.5454E 00 3.0663E-01

l . 2688E 00 2 .2852E-06

1.3174E 00 3.5969E-06 1.3513E 00 4 .9725E-06 1.3964E 00 7 .8776E-06 1.4254E 00 1.0964E-05 1.4159E 00 1 .4223E-05

1 .3174E 00 4.9435E-05 1.3513E 00 6 .8460E-05 1.3964E 00 L .0893E-04 1.4254E 00 1.5252E-04 1.4459E 00 2 .0010E-04

1 .4783E 00 4 .1648E-04 1 .4975E 00 1 .4467E-03 1.5L95E 00 1 .2033E-02 1 .5319E 00 3.Ye36E-02 1 - 5 4 5 6 E 00 1 .3411E-01

1.5579E 00 3.5869E-01 1.5645E 00 5 . 8 7 5 2 E - 0 1 1 .5680E 00 7 .5713E-01

1 .3174E 00 2.8643E-05 1.3513E 00 3.96ObE-05 1.3964E 00 6.2779E-05 1 .4254E 00 8.7-39E-05 l . 4459E 00 1 .1355E-04

1.4783E 00 1 .8876E-04 1 .4975E 00 3 .4847E-04 1.5195E 00 2.5918E-03 1.5319E 00 I . 174OE-02 1 . 5 4 5 7 ~ 00 5 . 8 7 5 4 ~ 4 2

1 .5580E 00 2 .1811E-01 1 . 5 6 4 8 1 00 4.21>8E-01 1 .5683E 00 5 .8640E-01

1.4783E 00 2 .3150E-05 l . 4975E 00 3 .3313E-05 1.5195E 00 b . iO24E-05 1.5319E 00 l . 6 6 4 2 E - 0 4 i . 5457C 00 2 .2508E-03

1.5581E 00 2 .9804E-02 1.5649E 00 1 .1154E-01 1.5685E 00 2 .1622E-01 1.57L5E 00 4 . i 9 4 7 E - 0 1 :.5745E 00 5 .8438E-01

1.5716E 00 9;aj6lE-Ol 1 . 5 7 3 5 t 00 1 .0897E 00

1 .5754E 00 1 .2332E 00

1 .5721E 00 8 .15b4E-01 1 .5740E 00 9 .6237E-01

1.5760E 00 1 . ~ 3 > 3 E 00

1 .5725E 00 1.2334E C O

1 .5743E 00 1.3390E 00 1.576hE 00 8 . 1 4 2 1 E - 0 1 1.5776E 00 9 . 6 1 1 1 E - 0 i 1.5783E 00 :.0617E 00 1.5792E 00 1 .2124E 00

1 .5752E 00 1 . 3 9 5 i E 00 1.5758E 00 1.4299E 00 1.5765E 00 1.477bE 00

1 .5764E 00 1 .3119E 00 1.5770E 00 l .3614E 00 1 .5777E 00 1 .4305E 00

1 .5770E 00 1.2331E 00 1.5776E 00 l . 2 9 5 8 E 00 1 .5784E 00 1.3843E 00

1 .5769E 0 0 1 .5021E 00

1.5774E 00 1 .5396E 00 1.5776E 00 1 . 5 5 2 3 E 00 1.5777E 00 1 .5587E OC l . 5 7 7 8 E 00 1.5625E 00 1.5778E 00 1.5651E 00

1 .5788E 00 i . 4 3 0 9 E 00

1.5794E 00 1 . 5 0 J b E 00

i .5796E 00 1 .2956E 00

1.5603E 00 1 .4312E 00 i . 5 7 9 6 ~ 0 0 i .s ;n iE 00 1 .5798E 00 1.5414E 00 1 .5798E 00 1.5490E 00 1 .5799E 00 1.5542E 00 1.5808E 00 1.5294E 0 0

1.5778E 00 1 .5669E 00 1 .5779E 00 1.56b3E OC 1.5779E 00 1 .5694E 00 1.5779E 00 1 .5702E 00 1.5780E 00 1.578CE 00

1.579ZE 00 1 .5627E 00 1.5792E 03 i . 5 6 4 7 E 00 1.5792E 00 1 .5664E 00 1 .5792E 00 1 .5677E 00 1.5793E 00 1 .5793E 00

1.57Y9E 00 1.5518E 00 1 .9799E 00 1 .5606E 00 1 .5799E 00 1 . 5 6 i 8 E 00 1 .5799E 00 1.5645E 00 1 .5801E 30 i . 5 8 0 1 E 00

i . 5 8 0 8 ~ 00 1 . 5 3 6 7 ~ oc 1.5608E 00 1.5421E 00 1.5608E 00 1.5464E 00 1.560% 00 1 .5498E OC ? . 5 n i o t 00 1 . 5 8 1 0 ~ oc

L 0.01 0.05 0.10 0.20

TAU - 244.9

X Y 1 .0112E 00 5 .9178E-09 1 .0409E 00 3.6367E-Pa 1.0681E 00 7.4549E-08 1.1095E 00 1.5508E-07

0.30 1.1417E 00 2.3Y8OE-07

1 . i 5 n i ~ 00 3 . 2 7 7 8 ~ 4 7 1.19C6E 00 4.184hF-07

0.40 0.50 0.60 0.80 1-00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00

1 . 2 l O l E 00 5 .1143E-07 1 .2426E 00 7.0313E-07 1.2688E 00 9 . 0 1 2 j E - 0 7

1.3174E 00 l . + i n 6 ~ - 0 6 i . 3 5 1 3 E 00 1 .96 iOE-06 1.3964E 00 3.1066E-06 1.4254E 00 4.3238E-06 1.4459E 00 5.6092E-06

i . 4 7 8 3 E 0 0 9.1294E-06 1 .4975E 00 1 .3136E-05 1.5195E 00 2 . 3 1 3 i E - 0 5

20.00 30.00

50.00

1.5319E 00 4.4223C-05 1.5457E 00 5 .4032E-04

1 . 5 5 8 1 ~ 00 i . ~ i n 5 ~ - 0 2 75.00 100.0@ 150.00

1.5649E 00 6 ,1330E-02

1.5725E 00 3.1097E-01 1 . 5 6 8 6 ~ oo 1.3no3~-oi

200 .00

3C0.00 400.00

1.5745E 00 4 .6689E-01

1.5766E 00 7 .0105E-01 l . 5 7 7 7 E 00 8 .5908E-01

500.00 750.00

1000.00

1.5784E 00 9 .7054E-11 1.579ZE 00 I.1423t 00 1 . 5 7 9 7 ~ 00 1 . 2 3 8 7 ~ 00

2c00 .00 30C0.00 4000.00 50CO.GO 6000 .00

7000 .00 8 O C O . O O 9000 .00

100CO.OO l N F

1 . 5 8 0 4 E 00 1 .3995E OC 1.5806E 00 l . 4 5 7 6 E 30 1 .5807E 00 1 .4875E 00 I . 5 8 0 8 E CO 1.505BE 00 1.5809E 00 I . 5 1 8 1 E 00

1.5809E 00 1.5269E 00 1.5809E O C 1.5336E 00 1.5809E 00 1.5388E 00 1.5809E 00 1.5430F 00 1.5811E 00 1 .5811F 00

60

OMEGA = 0.70 TAU = 0 .050 TAU = 0.100

X Y 1.0124E 00 5 .9676E-03 I . 0 4 0 9 E 00 1 . 6 6 0 1 E - 0 1 1 . 0 5 5 6 8 00 4.1516E-01 1 . 0 6 6 7 1 00 6 .6034E-01 l . 0 1 1 2 E 00 7 .84178-01

1 .0736E 00 0 .4962E-01

TAU = 0.200

X Y 1.0127E 00 4 . 4 5 i 3 E - 0 3 1 . 0 4 5 2 1 00 4.3622E-02 I .Ob97E 00 1 .0513E-01 1.09381 00 4 .4655E-01 I . 1 0 5 2 E 00 6 .0606E-01

TAU = 0.300

2 0.01 0.05 0.10 0.20 0.30

0-40 0.50 O.6G 0.00 l . C O

1.50 2.00 3.00 4.00 5 .00

7.50 10.00 i 5 . 0 0 20 .00 30.00

50.00 75.00

100.00 150.00 200.00

300.00 400.00 5CO.00 750.00

1000 .00

2000 .00 3OCO.00 4ooo.l,o 5000.00 b000 .00

100c.00 8000.0 l i 9000.00

1ooco. oc I Y F

X Y 1.012ZE 00 1 . 4 4 5 3 8 - 0 2 ;.0325E 00 3 .9667E-01 1.0393E 00 6 . 4 3 k b E - 0 1 1.0435E 00 0 .2091E-01 1.0450E 00 8 . 9 0 6 l E - 0 1

1 .04591 00 9 .27b4E-01

a Y 1.0128E 00 3 .6345E-03 1.0464E 00 2.2915E-02 1.0749E 00 9 .3990E-02 1 .10821 00 3 .0421E-01 1.12611 00 5.7147E-01

1 .1117E 00 7 .00741-01 I . l l 6 O E 00 7 .7832E-01 1.1190E 00 8 .2862E-01 1.1228E 00 8 .96L8E-01 1 .1253E 00 9 .3961E-01

1 .1286E 00 1.0008E 00 1.1304E 00 I .0329E 00 1.1321E 00 1 . 0 6 6 l E 00 1 .1330E 00 l . O b 3 l E 00 1.133bE 00 1.0934E 00

1 + 1 3 4 3 E 00 1 .10731 00 1 .13478 00 I .1144E 00 1.1350E 00 1.1215E 00 I . 1 3 5 2 E 00 1.1250E 00 1 + 1 3 5 4 E 00 1.1286E 00

1.:355t 00 I .1315E 00 1 .1356E 00 1.1329E 00 1 .1357E 00 1 . 1 3 3 6 1 00 1 .1357E 00 1.1343E 00 1 .1357E 00 1.1347E 00

1.13578 00 1 .1350F 00 1 .1357E 00 1.1352E 00 1.1357E 00 1 . ~ 3 5 3 E 00 1 .1358 t 00 1.1355E 00 1.1358E 00 1 .135bE 00

1.1350E 00 1.1357E 00 1.1358E 00 1.1357E 00 1 .1358E 00 1.1357E 00 1 .1358E 00 1.1351E 00 1.1350E 00 1 .135 lE 00

1 . 1 3 5 ~ ~ 00 i . 1 3 5 1 ~ 00 1.1358E 00 1.1351E 00 1.1350E 00 1.1357E 00 1.1350E 00 1 . 1 3 5 7 1 00 1 .1358E 00 1.1358E 00

1 .13691 00 5 .9043E-01 1.14421 00 6 .7b06E-01 1.1494E 00 7 .4185E-01 1.15641 00 8 .3246E-01 I . l b 0 8 E 00 8 .9234E-01

1 . l b 7 1 E 00 9 .7927E-01 1.1703E 00 1.026OE 00 1 .17311 00 1.0751E 00 1.1754E 00 1.1005E 00 1 .17641 00 1 .1161E 00

1.1118E 00 1.1372E 00 1.1785E 00 1 .1479E 00 1.17938 00 1.1587E 00 1.1796E 00 l . 1 6 4 2 E 00 :.1800E 00 1.1697E 00

1.1003E 00 1.1741E 00 1.1804E 00 1 .17638 00 l . IMD5E 00 1.1774E 00 1 .18058 00 1.1785E 00 L.1806E 00 I . 1 1 9 0 E 00

l . l M O b E 00 1.1796E 00 1.1806E 00 1.1799E 00 1. ldObE 00 l.10OOE 00 l . lBO7E 00 1.1802E 00 1 .18OlE 00 L.1004E 00

1.1007E 00 1.1805E 00 1.1007E 00 1.18C6E 00 1.1807E 00 l . 1 0 0 6 E 00 1.1607E 00 1.1006E 00 1 . 1 8 0 7 ~ 00 i . 1 8 0 6 ~ 00

1 .180 lE 00 l .18ObE 00 L.10LilE 00 1 .100 lE 00 l . l B 0 7 E 00 1 .18OlE 00 1 . IBG lF 00 1.1807E 00 1.1867E 00 1 .10OlE 00

1.0463E 00 9 .5061E-01 1 .04671 00 9 .66241-01 1.04711 00 9 .0613E-01

1 .0751E 00 8 .91551-01 1.07618 00 9 .20678-01 1.0774E 00 9 . 5 8 4 5 E - 0 1 1.0702E 00 9 .8188E-01 1 .04741 00 9 .9827E-01

1 .04776 00 1 .0147E 00 1.0479E 00 1 .0230E 00 1.C480E 00 L.0314E 00 1.0481E 00 L.0356E 00 L.0402E 00 I . 0 3 8 2 E 00

1.0793E 00 I . 0 1 4 0 E 00 1.0799E 00 1.0305E 00 1 .0804E 00 1 .0472E 00

1 .0009E 00 1 . 0 b 0 8 E 00

1.0811E 00 1.0677E 00 I . O B I 2 E 00 1 . 0 7 1 2 E 00 1 . 0 0 1 3 t 00 1 .074bE 00 1.08141 00 1 .0764E 00 1 .0015E 00 1 .0181E 00

1 .0815E 00 1.0795E 00 1.08158 00 1.08028 00 l.OE1SE 00 1 . 0 0 0 5 E 00

1 . 0 8 1 6 t 0 0 1 .0011E 00

l . O B l 6 E 00 l . O B I 2 E 00 1 .001bE 00 1.OM13E 00 I . O B l b E 00 1.0814E 00 1 .081bE 00 I . 0 8 1 ~ E 00 1.0016E 00 1 .0015E 00

1 .0016E 00 1 . 0 0 1 5 E 00 1 . 0 8 l b E 00 1.U815E 00 1 . 0 8 1 6 8 00 1.0015E 00 1 .0816E 00 1 .0816E 00 1 .0015E 00 1 . 0 0 l h E 00

l . O H l b E 00 I . O d l b E 00 1 .08168 00 1.OBlbE 00 1.001bE 00 l . O B l b E 0 0 1 .0816E 00 1 .0016E 00 1.001bE 00 1 .0816E 00

t . o a o i E 00 1.05578 00

1 . 0 a i 6 ~ 00 1 . 0 8 0 9 ~ 00

1.0483E 00 1 .041bE 00 1.0483E 00 1 .0433E 00 1.0483E 00 1.045CE 00 1.0483E 00 1 .045dE 00 L.0484E 00 1.0467E 00

1 . 0 4 8 4 8 00 1 .0474E 00 l.O’tM4E 70 1.0477E 00 1.0484E 00 1.0479E 00 1.0404E 00 1.048:E 00 I.O+~(~E 00 1 . 0 4 ~ 1 ~ 00

i . 04a4c no 1 . 0 4 ~ 2 ~ 00 1.048CE 00 l . 0 4 8 3 E 00 L.C4d4E OC 1.0483E 00 1.0404E 00 1 .0483E OC 1.0484E 00 1.0483E 00

1 .0484E 00 l r O r M * E 00 1.0404E 00 1 . 0 4 b i E 00 1.04d4E 00 1 .0484E 00 1.0414E 00 1 .0404E 00 1.0484E 00 1.040qE 00

1.0404E 70 1 .0484E 00 1.0484E 00 1.0*84€ 00 1.048IE 00 1.04811E 00 1 .0404E 00 1.0484E 00 1.0484E 00 I .048.tE 00

TAU =

X 1.0129E 0 0 1 .0471E 10 1.0113E 00 : . l l 6 b E 00 1.1397E 00

0.400

Y 3 .0956E-01 1 .74b7E-02 5.64 3 3E-02 2 . 1 2 6 L L - 0 1 3 .6905E-01

TAl

x

J i 6.500

V 2 .7015E-03 I . 4839E-02 3.97 2 5 E-0 2 1 .5313E-01 2 . 9 1 7 2 E - 0 1

TAU =

X 1.OL31E 00 1.0419E 00 1 .0795E 00 1 .1250E 00 1.1554E 00

0.600 TAU = 0.800

Y 1 .9339E-03

L Y 0.01 0.05 0. i o

I . 0 1 3 0 E 1 .0475E 1 .018bE 1 .L211E 1 .1490E

00 00 00 00 00

1.OL32E 00 1.0484E 00 I .Ot l06E 00 l . l i M 8 E 00 1.1b35E 00

l . 0 4 4 O E - 0 2 2 .32128-02 1 .1732E-02 0 . 2 0

0.3u 1 .5489E-01

O.+O 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.(10 i5.00 20.00 30.00

1 .1545E 00 1.164BE 00 1.1723E 00 1.1825E 00 1 .1891E 00

1 .1613E 1.1603E 1 .1900E 1 . 2 0 3 4 f I . 2 1 2 2 t

00 00 00 00 00

4 .1256E-01 5 .1137E-01 5 . 9 1 5 2 E - 0 1 1.113bE-0 1 7 . 9 5 5 9 E - 0 1

9 .2480E-01 9.97 5 9 E -0 1 1 .07b5E 00 1 .1183E 00 1 .1443E 00

1 .1799E 00 1 .1981E 0 0 1 .2166E 0 0 1.226OE 00 1 .2354E 00

1 .2430E 00 1.246YE 00 1 .2400E 00 1 . 2 5 0 7 E 00 1 .2517E 00

1 .1761E 00 1 . 1 9 2 I E 00 1 .2038E 00 I .2203E 00 1 .2313E 00

3 . 4 t V 5 E - 0 1 4 .4520E-01 5. iBOOE-01 b .5598E-01 7.4807E-01

2 .4921E-01 3.397bE-0: 4 .2145C-01 5.5652;-0; 6 . b 0 2 5 E - 0 1

9 .5332F-01 1.013bE 00 1.0779E 00 l . l l l 7 E 00 1.13i5t 00

1 .2250E I . 2 3 1 8 E 1 .2390E 1 .2428E 1 . i 4 5 1 E

00 00 00 00 00

8 . 3 2 7 5 E - 0 1 9 . 3 b 7 l E - 0 1 1 .0548E OC 1.1197E 00 I . l b 0 7 E OC

1 . 2 1 7 0 1 00 1.2475E 00 1.2179E 00 l . 2 9 3 4 E 00 1.3091E 00

1.3219E 00 1 . 3 2 0 3 t 00 1.3315E DO 1.3347E 00 1.3363E 00

1.3379E 00 1.3387E 00 1 . 3 3 9 2 1 00 1.3399E 00 1 .3402E 00

1 .2152E 00 I . Z l 6 3 E CO 1.2115E 00 1.2180E 00 1.218bE 30

1 . i 6 C 8 E 00 1.1753E 00 1.1099E 00 1.1973E 00 1 .2047E 10

1 .2402E 1 .2497E 1.2513E 1.2521E I . 2 5 2 9 E

1 .253bE 1.2539E 1.2541E l . i 5 4 2 E 1 .2543E

00 00 00 00 0’)

1 .277bE 00 1.2797E 00 1.2810E 00 1.2820E 00 1 .2839E 00

1 .1953E 00 1.2173E 00 1.2390E 00 l.:5iZE 00 1.2627E 00

1.2720C 00 I .2766E 00 1.2790E 00 1.2013E 00 1.2825E 00

1.3283E 00 L.3314E 00 1.3346E 00 1.33626 00 1.3379E 00

50.00 15.00

1 .21C7 t 00 1 .2137E 00

00 00 00 00 00

00 00 0 0 00 00

1.2847E 00 1.2652E 00 1 . ~ 8 5 4 E 00 1 .28568 00 1 .L857E 00

1.33Y2E 00 1.3398E 00 1.3402E 00 I .3405E 00 1.3407E 00

100.00 i 5 0 . 0 0 Z C O . 0 0

1.2152E 00 1 . 2 l b l E 00 1 .2175E 00

300.00 400.00 500.00 750.00

1000.00

2OCO.OO

1.2196E 00 L . 2 1 9 l E 00 1 . 2 1 9 l E 00 1.2191E 00 1.2197E 00

1 . 2 1 9 l E 00 1.2191E 00 1.2191E 00 1.2191E 00 1.2197E 00

1.2197E 30 I . 2 1 V l E 00 1.2197E 00 1.2197E 00 1.2191E 00

1.2182E 00 l . Z l 8 6 E 00 1 .2188E 00 1.21918 00 1.2193E 00

I . 2 5 L 4 E 1 .2526E 00 1 . 2 5 3 1 E 00 1 . 2 5 3 4 E 00 1 . 2 5 3 8 E 00 I . 2 5 4 O E 00

1.2850E 00 1.2859 t 00 1 . r059E 00 1 .2859E 00 1.286OE 00

l . 2 8 3 7 E 00 1.2843E 00

1.3408E 00 1.3409E 00 1.;544f

I . 2 5 4 4 E L . i 5 4 5 E

1.28468 1 . 2 8 5 l E 00 00

1 . 2 ~ 5 3 ~ 00

1 .34 lOE 00 1.3410E 00 1 . 3 4 l l E 00 1.2545E

1.2195E 06 1 .2196E 00 1 .219bE 00 1 .2196E 00 I . 2 1 9 7 E 00

1.2197E 00 1 .2197E 00 1 . 2 1 9 l E 00 1.2191E 00 1.2191E 00

1 . i 5 4 5 E 1 . 2 5 4 5 8 1 .2545E 1.254SE 1 . i 5 4 5 E

1 .2545E 1 .2545E 1 .2545E 1 .2545E 1 .2545E

00 00 00 00 00

00 00 00 00 00

1 .2543E 00 1 . 2 5 4 3 E 00 1 .2544E 0 0 1 . 2 5 4 4 E 00 1 .2544E 0 0

I . 2 5 4 5 E 00 l . 2 5 4 5 E 00 I . 2 5 4 5 E 00 1 .2545E 00 1 .25458 00

l . 286OE 00 L .20608 00 1 . 2 8 6 0 1 00 1.L860E 0 0 1.2860E 00

1.28bOE 00 l .20bOE 00 1.2860E 00 1.206OE 00 1.286OE 00

1.2857E 00 I . 3 4 l l E 00 1.3411E 00 I .3411E 00 1 .34 lZE 00 1 .34 lZE 00

1 .34121 00 1.3412E 00 1.3412E 00 1.3412E 00 1.34128 00

1.3407E 00 30CO.00 4000.00 5000.00 b000.00

7000.00 80c0.00 9 O C O . O O 10000.00

lNF

1.285t lE 00 1 . i 0 5 9 E 00 1.2059E 00

~~ ~~~~

1 . 3409E 00 1.34091 00 1.3410E 00 1.3410E 00 1.2859E 00

1.3410E 00 1 .3411E 00 1.3411E 00 1.3411E 00 1 .3412E 00

61

Tau = 1.500 TAU = 2.000

x Y 1.0134E 00 7154511-04

Tau = 2.i00 OMEGA = 0.70

Tau = 1.000

L 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

X Y X Y 1.0133E 00 1.069'E-03 1.0491E 00 5.1098E-OJ 1.0823E 00 1.2t79E-02 1.133Lf 00 2.8835E-02 1.1731E 00 5.5129E-02

X Y 1.0134E 00 5.5L55E-04 ;.0495E 00 2.9211E-03 L.08JOE 00 6.2391E-03 1.1350E 00 1.403bE-02

1.0494t 00 4.0146E-03 1.0828E 00 8.5870E-03 l.i3*4E 00 1.953YE-02

1.lb80E 00 1.0652E-01 1.1750E 00 3.4459E-02 1.1759E 00 2.3891E-02

1.1965E 00 1.0322E-01 1.2052E 00 9.4716E-02 1.2085E 00 5.6454E-02 1.2C9YE 00 3.7357E-02 1.2189E 00 2.6198E-01 1.2368E 00 3.3782E-01 1.2b35E 00 4.7149E-01

1.2317E 00 1.4448E-01 1.2539E 00 1.9959E-01 1.2886E 00 3.1205E-01

1.2368E 00 8.b590E-02 l.2609E 00 1.2348E-01 1.3000E 00 2.0873F-01

I.2390E 00 5.b020E-02 1.2641E 00 8.0232E-02 1.3056E 00 1.4193E-01

1 .5C 2.00 3.OG 4.00 5 . O C

7.50 10.00 15.00 20.0b 30.00

5 0 . O C 15.00

1oo.co

1.3115E 00 7.1054E-01 1.32MlE 00 8.9055E-01

1.35b4E 00 6.2415E-01 1.3816E 00 7.698RE-01

1.3812E 00 4.9809E-01 1.4131E 00 6.5373E-01

1.3954E 00 3.9399E-01 1.4322E 00 5.4877E-01

1.34b3E 00 1.031OE 00 1.3560E 00 I.llC0E 00 . .3621E 00 1.16C5E 00

1.37048 00 1.23~bE 00 1.3741E 00 1.2689E 00 1.3791E 00 1.3074E 1.3813E 00 1.327lf OC 1.3036E 30 1.3471E 00

1.3d5CE 00 1.3634E 00 1.38b3E 00 1.3716E 00 1.3868E 00 1.3757E 00

1.3874E CO 1.3813E 00 1.3a72~ 00 1 . 3 7 ~ 3 ~ 00

1.4102E 00 9.5374E-01 1.4259t 00 l.Ob3lE 00 1.4359E 00 1 . 1 3 5 1 t 00

1.4498E 00 1.2395E 00 1.4571E 00 1.2954E 00 1.4645E 00 1.3541E 00 1.4683E 00 1.3845E 00 1.1722E 00 1.4156E OG

1.4504E 00 8.6516E-01 I.4715E 00 9.9802E-01 1.4850E 00 1.0882E 00

1.5042E 00 l.2224E 00 i .5142.E 00 1.i960E 00 1.5247C 00 1.3144f 00 1.5301E 00 1.4155E 00 1.5355E 00 1.451YE 00

1.5400E 00 1.4928E 00 1.5422E 00 1.5105E 00 1.5434E 00 1.51i5E 00 1.5445E 00 1.5285E 00 1.5451t 00 1,533lE 00

1.476GE 00 7.7488E-01 1 . 5 0 i O E 00 9.2490E-01 I.5lMbE 00 1.0298E 00

1.5424E 00 I.iPO2E 00 !.5551E 00 l.2802E 00 1.5683E 00 1.3715E 00 1.5752E 00 1.4291F 00 1.582lE 00 1.4828f 00

:.5A78E 00 1.5272E 00 1.5907E 00 1.5500f OC 1.5922E 00 I.5615E 00

1.4753E 00 1.441OE 00 1.4769t 00 1.4539E 00 1.4717E 03 1.4604E 00 1.4785E 00 l.4bb9E 00 1.4789C 00 1.4102E G O

1.4793E 00 L.L735E 00 1.4795E 00 1 . 4 1 5 1 E 00 1.479bE 00 1.4761E 00 1.4797E 00 1.477'E 00

150.00 200.60

3OO.OC

1.593bE 00 1.5731E 00 1.59k3E 00 1.5789E 00

1.595LE 00 1.5848E OC 1.3877E 00 1.384OE 00 400.00 500.00 150.00

1.3878E 00 1.3850E 00 1.3879E 00 1.3856E 00 1.3dMOE 00 1.3861E 00

1.5V54E 00 1.5817E 00 L.5Y57E 00 1.5895E 00 1.5960E 00 1.5918E 00

1000.0c

2000.00 3000.00

i.3dtlOE 00 1.3869E 00

1.3881E 00 1.3815E 00 I.38MlE 00 I.3877E 00

1 . 4 7 9 ~ ~ 00 1.478:~ 00

1.4199E 00 1.4191E 00 1.4800E 00 1.4794E 00

1.5464E 00 1.54sOE 00 1.5961E 00 1.59301 00

1.546bE 00 1 . 5 4 5 4 E 00 1.5466E 00 1.5458E 00 ;.5461E 00 i.5'tblE 00 1.5'161F GO 1.5-62E 00

IO 1.5463f 00

1.5963E 00 1.5948E 00 1.5964E 00 1.5954E 00

4000.GC 5000.00 6000.CG

i.3881E 00 1.3878L 00 1 . 3 8 8 1 t 00 i.3M73F 00 1.38815 00 1.3879E 00

1 . 3 8 8 1 F CO 1 . 3 8 8 0 E 00 1.38UiE 00 1.38ICE 00 1 . 3 t l d l E 0 0 1 . 3 M 8 0 E 00

L.3881E 00 1.38biE 00 t.)nai~ 00 1 . 3 8 ~ ~ ~ o o

1.'-WOE 00 :.479eE 00 1.4800E 00 1.*797E Lic 1 . 4 8 O O t 00 1.G191E OC

1.4803f 00 i.4198E 00 1.480Ot 00 i.479RE 00 1.4800E 00 1.~798E 00 l.'rBOOE 00 1.4794E 00 l.4801E 00 1.4801E 00

1.5964E 00 1.5957E 00 1.5465E 00 1.5958E 00 1.5965E 00 1.5960E 00

1.590% 00 1.5960E 00 1.59b5E 00 1.5961E 00 1.5965E 00 1.5962E 00 1.5YbSE 00 1.5962E 00 1.5965E 00 1.5965E 00

70C0.00 8OCO.O@ 9 O O O . G C ;0000. oc

1.5467E 00 :.5*04E 00 1.5467€ 00 1.5464F 00 1.5467E 00 1.5465E 00 1.5467E O C 1.5465E 00 1.5468E 30 1 .546ME 00 I N F

I 0.01

TAU I 3.000

X V 1.Oi34E 30 4.1386E-04

1AU = 3.500

X Y 1.0134E 00 3.1724E-04

TAU = q.500

x Y 1.0134E 00 1.9645E-04

TAU = C . O O G

X 1.C134E 'JO 2.4164f-04

0.05 0.10 0.20

1.0495E 00 2.192lE-03 1.0d31E 30 4.660iE-03 1.1353€ 00 1.0412E-02

1.0496E 03 1 . 6 1 7 b E - 0 3 1.0332t 00 3.5585E-03 1.1354E 00 7.909LE-03

:.0*96t 00 i.30nt-03 I . 0 8 3 3 E 00 i.75MlE-03 1.i355E 00 b.1272E-03

1.0496E 00 1.0361E-03 1.0833E 00 2.1899E-03 1.1>5bE 00 4.8279E-03

0.30 1.1764E 00 1.744JE-02

l.2107E '10 2.6452€-02 L.2401E 00 3.8572E-02

1.:761€ 00 1.3134E-02

1.Z;llE 00 1.9557E-Ui l.2407E 00 2.78COE-02

l.;lbME 00 1.0114E-02

i.iii3~ 00 1.4evof-02 I.24lGE 00 2.0M33E-02

1.17b9E 00 1.V311E-03

0.40 0.5c

1.2115E 00 1.1588E-02 1.2412E 00 1.6OlOt-3L

0.60 U. nc 1.00

L.2b57E 00 5.46;lE-02 I.3084E 00 9.8449f-?2 I.342St 00 i.5393E-01

1.4036E 00 3.10C3E-01 1.44406 13 4 . 5 7 0 8 F - P I 1.4936E 10 6.R79LE-01 1.5229E CO 8.4950E-01 1.5421E 00 9.6595E-0:

1.2665E 00 3.6158E-02 113C99E 00 6.9193F-02 1 . 3 4 4 9 5 3 0 l.lZOOC-01

1.4C86E 00 2.432VE-01

I.5C52E G O b.Cb81E-01 l.5374E 0 0 7.7523E-01 1.5587L 0 0 9.0025E-01

1.5900E 00 :.1018E 00 1.bOb9E 00 1.2202E 00 1.624YE 00 :.3523E 00

1.4515E 00 3.7966E-01

1.~670E 00 2.b4M5E-02 1.3107E 00 5.CbOYE-02 1.3462t 00 8.2368t-02

L.4116E 00 1.90T3F-01 1.*562E 00 1.1253E-01 1.5131E 00 5 . 3 2 1 4 E - 0 1 1.5476E 00 7.0406E-01 1.5107E 00 8.3505E-01

L.6048E 00 i.05ZOF 00

l . b 4 3 3 E 00 1 . 3 3 0 0 E 00 1.6235E 00 1.182*€ 00

1.2613E 00 2.i554E-02 1.3112E 00 3.7532E-02 1.3'70~ 00 b.i33n~-o2

1.4134E 00 1.4961E-01 :.45V3E 00 Z.5132E-01 1.5185E 00 4.6604E-01 1.5548E 00 6.3711E-01 1.5794E 00 7.7181E-01

I.bl6CE 00 I.001JE 00 L.6361E 00 I.1419E 00 1.6516E 00 1.3040E 00

1.50 2.00 3.0C 4.m 5.OC

I.5699E 00 1.1487E 00

1.630bE 'IC 1.3bM)E 00 1.6087E 00 1.4307E 00

i.5a*x oc 1.2537~ 00 7.50

10.OC 15.00 20.00

. . ~ . ~ ~ ~ ~~

1.6342E 05 1.4239E 00 1.6438f 00 1.4995E 00

1.6517E 00 1.5631E 00

1.6537; 00 i . 4 l l l F 00 1.6644F 00 i.4V73E 00

1.6732E 00 1 . 5 7 0 3 E CO

30.00

50.LC

l.b;7lE 1.4955f 00

1 . 6 2 3 Y E 00 1 . 5 4 4 5 E 00 15.00

1CO.OC 150.00 2OO.OC

1.b274E 30 1.5773t 00 l.6292E 00 1.5914E CC 1.6309f 00 1.605of 00

1.6551E 0 0 1.5959E 00 1.b577E 00 1.6126E 00 1.6597L 00 1.6295E 00

1.6777f 00 I.bOd2E 00 1.6800E 00 i.6275f 00 1.6623E 3G 1.6471E 00

1.6952E 00 1.6158E 00 1.b977E 00 1.b377E 00 ;.7OO2E 00 leb599E 00

1.bb07E 00 i.6380E 00

1.bblUE 00 :.bCboE 00 1.6623E 00 1.6509E UO

1.6836E 00 1.b569F 00

1.b84bE 00 I.bbb9E 00 I.6852E 00 1.b719E 00

1.7015t 00 1.b711E 00

300.00 4CO.00

1.6327E 00 1.6203E 90 1.6331E 00 1.5236E 00

1.7028E 00 1.6824E 00 1.1634E 00 1.bBRLE 00 1.1C38E 00 1.6915E OC 1.1043E 00 I.6961E 00 1.7G45E 00 1.6984E 00

i.1049E 00 1.7019E 00 1.7050E 00 1.703OE OC 1.7C51E 00 1.7036E 00 :.7G51E 00 1.7039E 00 ;.1052E 00 1.7041E 00

:.7052E 00 1.1043C 00 1.7052E 00 1.7046E 00 1.7052f GO 1.1045E 00 :.7U52E 00 1.7046E OC l.7G53E 30 1.7053E 00

500.00 150.60 1000.0@

1.6334f 30 1.b25YE 00

1.5339E 00 1.6301E 00 1 . 6 3 1 ~ ~ 00 1.6287~ 00

l.662bE 03 1.6535E 00 1.6530E 00 1.6569E 00 1.6632E 0 0 l.6586E 00

1.6635E 00 1.661ZC 00 1.6635E 0.) i.6621C 00 l.6637E 0'1 1.6625F OC 1.6637E 00 1.662RE 00 1.6631F 00 1.6630E 00

1.b631E 00 1.b53iE J0

1.6038E 00 1.6633E G O 1.6038E 00 I.ob32f 00

1.6855E 00 1.6749E 00 leb86OE 00 1.6739E 00 l.bBb2E GO 1.6809E 00

2OCO.OC 3 O O O . C C

5 0 C O . W bOCO.60

+oco.or

1.6342E 00 :.63i3E 00 1.6343E 00 ?.6333€ 00 1.6343f 00 1.633CE OC 1.6344E 00 1.b33CE 00 1.63446 10 1.b337E 00

1.6344f 00 1.63335 00 1.6344f 00 1.6339E ?O L.6344E 00 1.634CE 00 1.6344E 00 1.634OE 00 1.63*5E 00 1.6345E .IO

1.bdbbE 6 0 I.b8J9€ 00 1.6817E 00 1.681.YE 00 1.b8b7E OC l . t H 5 4 C 00 1.c8b8E 00 1.68S7F 00 !.69b8E 00 1.6859F 00

7000.X 8OCO.OC 9005.00 . ~ . ~~

100CO. oc 1.6638E 00 l.bb31E 00 1.6638f 00 1.6638E 00 I N F

62

TAU = 1.500

X Y 1.01341 00 6 .3784E-05 1.04961 00 3 .3423E-04 1.08331 00 7 .0136E-04 1 .1357E 00 1 . 5 2 l b E - 0 3 1.1711E 00 2 .45341-03

1 . 2 1 1 1 E 00 3 .50181-03

TAU = 10.00 TAU - 15.00

X Y 1.01341 00 1 .1984E-05 1.0496E 00 6 .2467E-05 1.08331 00 1.3001E-04 1 .13571 00 2.772OE-04 I .1771E 00 4 .38521-04

1.2118E 00 6.12841-04

OMEGA = 0.70 1AU = 5.000

I 0.01 0.G5 0.10 0.20 0.30

X Y 1 .0134E 00 1 .5811E-04 1 .0134E 00 3.2d02E-05

1 .04961 00 1.67161-04 1 .0833E 00 3.4982E-04 1.1357E 00 7.5273E-01. 1.17111 00 1.202bE-03

1 . 2 1 1 8 1 00 1.6990E-03

1 . O i 9 6 E 00 8 . 3 2 ; ; ; - 0 4 1.0833E 00 1 .75131-03 1 .1356E 00 3 .0624E-03 1.1770E 00 6.31921-03

0.40 0.50 0.60 0.80 1.GO

1.50 2.00 3.00 4.00 5.00

1 .211bE 00 9.18CYE-03 1.2415E 00 4 . b B O O E - 0 3 1 . 2 6 1 7 1 00 6.01291-03 I . 3 1 1 9 E 00 9 .3467E-03

1 .241bE 00 2.2430E-03 1 . 2 6 7 8 1 00 2.8413E-03 1.31201 00 4.2290E-03

l . 2 k l b E 00 7 1 9 9 7 3 8 - 0 4 1.2678E 00 9.992OE-04 1.312OE 00 1 .43771-03 1.34831 00 1 .93588-03 1 .35741 00 4 . 6 3 C l E - 0 2 3.34811 00 1.4149E-02 1 .34838 00 5.9971E-03

1.41641 00 3 .74311-02 1.4168E 00 3 .6249E-03 1 .4613E 00 2 .1155E-01 1.5223E 00 4.0665E-01 1 . 5 6 0 1 1 00 5 .7490E-01 1 . 5 8 5 9 1 00 7 . 1 1 3 9 ~ - 0 1

1.46501 00 7 .96111-02 1 . 5 3 0 0 1 00 2 .0101E-01 1.5717E 00 3 .3548E-01

1 . 4 6 5 6 1 00 3 .15101-02 L.531bE 00 9.8415E-02 1 .57471 00 1 .9211E-01

1 . 4 6 5 6 1 00 3 .15101-02 L.531bE 00 9.8415E-02 1 .57471 00 1 .9211E-01 1.60501 00 2 .9369E-01

1.4657E 00 6 .8911E-03 1.5322E 00 2 .49221-02 1.5159E 00 6 .29471-02 1.6070E 00 I . 1 7 1 3 E - 0 1 1.60081 00 4.61651-01 1.60501 00 2 .9369E-01

7.50 10.00 15.00 20.00 30.00

1.6244E 00 9 .5003E-01 1.6455E 00 1.100iE 00 1.66881 00 1 .2754E 00

1.6456E 00 7 .14611-01 I . 6 7 1 1 E 00 8 .92751-01 1.6990E 00 1 .1179E 00 1 .7140E 00 1.252FE 00 l .7297E 00 I . 4 0 2 8 E 00

1.7429E 00 1 .5370E 00 1.7497E 00 1 .6390E 00 1 . 7 5 3 1 1 00 L .6463E 00 1 .756bE 00 1 .6845E 00 1.1583E 00 1 .7039E 00

1.15261 00 5 .2741E-01 l . b801E 00 7 .1159E-01 1 .7107E 00 9.b3bbE-01 1 . 7 2 1 3 1 00 1.1228E 00 L.7449E 00 1.3092E 00

1.6566E 00 2 .8188E-01 1.6858E 00 4 .4394E-01

1.7372E 00 8 .89018-01 1.75691 00 1.1236E 00

1 . 7 1 8 9 ~ 00 7 . 0 + 2 7 ~ - 0 1 1 . 6 8 0 9 1 00 1.3739t 00 1.6935E 00 1 . 4 8 0 4 E 00

50.00 15.00

:oo.oo 150.00 200.00

1.7039E 00 1 . 5 7 I 8 1 00 1.7092E 00 1.6191E 00 1.1119E 00 1 .6462E 00 1.71LbE 00 1.6691E 00 1 .7160E 00 1.68171 00

1 . 7 5 9 8 1 00 1.4811E 00 l . l b 7 5 E 00 1.5755E 00 I . 7 1 1 4 E 00 1 . 6 2 5 0 1 00 1 . 7 7 5 4 1 00 1 . b l b 2 E 00 1.1774E 00 1 . 7 0 i 4 E 00

1 .7794E 00 1.7240E 00 1.1804E 00 1 .7424E 00 1 . 7 8 1 0 t 00 1.7505E 00 1.7818E 00 1.1614E 00 I . 7 8 2 2 E 00 1.7bbPE 00

1.7736E 00 1 . 3 5 6 3 1 00 1 . 7 8 ~ 4 1 00 I . 4 9 0 5 E 00 1.7869E 00 1 . 5 6 2 6 1 00 1.7915E 00 1.6382E 00 1.7931E 00 1.67741 00

1.7961E 00 1.7176E 00 1.1973E 00 1.1380E 00 1.1980E 00 1.1504E 00 1.7989E 00 1.16701 00 1.7994E 00 1.7754E 00

1.8001E 00 1.7881E 00 1 . 8 0 0 4 E 00 1 . 1 9 2 3 1 00

1.8005E 00 1.7957E 00 1.8GObE 00 1.7966E 00

1 . 8 0 0 5 ~ 00 1 . 7 9 4 4 ~ 00

300.00 400.00 500.00 750.00

1000.00

2000 .00 3000.00 4 0 c 0 . 0 0 5000 .00 bOCO.00

1 .7601E 00 1 .1236E 00 1.76lOE 00 1 .7335E 00 1 . 7 6 1 5 1 03 1 . 7 3 9 5 1 00 1 .1622E 00 1 .7415E 00 1 . 7 6 2 b L 0 0 1 .1515E 00

1 . 7 1 9 7 8 00 1.71631 00 1.7199E 00 l . l l 7 b E 00 1.71991 00 1.7182E 00 1.7230E 00 1 .718bE 00 1.7200E 10 1 .7188E 00

1 .7631E 01 L .157bE 00 l . l b 3 3 E 00 1 .7596E 00 1 .7634E 00 1.760A.E 0 0 1 .7b34E 0 3 l . 7 b l Z E 00 1 . 7 6 3 5 t 00 I . 7 b l b E 00

1.1828E 00 1 .71521 00 1.7830E 00 1.7119E 00 1.78311 00 1.7793E 00 1.7832E 00 I.1801E 00 1.7832~ 00 1 . ~ 8 0 7 ~ 00

1 .1833E 00 1.781IE 00 1 .1833E 00 1.7814E 00 1.18331 00 1 . 7 8 l b E 00 1 .7833E 00 1.7818E 00 1 .7834E 00 1.18341 00

7000.00 8OCO.UO 9 0 c 0 . 0 0 10000. oc

I q F

1 .7200E 00 1 .71L) jE 00 1 .7200E 00 1 .7192E 10 1.72OOE '10 1.7193E 00 I . 7 2 0 1 E 00 1.7194E 00 1 .72JLE 00 1 . 7 2 0 1 1 00

1 .1635E 00 1 .7619E G O 1 .1635E 00 l . l b 2 l E 00 1 . 7 6 3 5 E 00 1 .1623E 00 1 .7635E 00 1 .7624E 00 1 .763bE 03 1 . l b 3 b E 00

1.8OObE 05 1 . 1 9 7 2 f 00 1.8001E 00 1 .7976E 00 1 .8007E 00 1.1980E 00

i .8OO8E 00 1.80081 00 1 . 8 0 0 7 ~ 00 1 . 7 9 ~ 3 ~ 00

T4U = 20.GO

X V 1.0134E 00 b.0189E-Ob

TAll = 25.00 TAU = 30.00 TAU - 40.00 X V

1.0134E 00 1.2420E-Ob 1.0496E 00 6 .4468E-Ob 1 .0833E 00 L .3344E-05 1.1357E 00 2 .b130E-05 . . 177 iE 00 4 .3975E-05

1.2118E 00 6 .0697E-05

1 0.01 0.G5 0.10 0.20 0.30

X Y 1 .0134E 00 3.6470E-Ob 1.C49bE 00 1 .8569E-05 1.01133E 00 3.8599E-05 1 .1351E 00 8 .1772E-05 1 . 1 7 7 l E 00 1.284OE-04

1.2118E 00 1 . 7 8 O l E - 0 4

X Y 1.0134E 90 2.3565E-Ob 1.0496E 00 1.2141E-05 1.0833E 00 2 . 5 3 b l E - 0 5 1.1357E 00 5.3601E-05 1.L771E 00 8.3995E-05

l . i l l 8 E 00 1.1622E-04

1 .049bE 90 3 .14521-05 1.0833E 00 b .5284E-05 1.1357E 00 1 .3851E-04 1.1771E '30 2. lHOYE-04

l . l l i 8 E 30 3 . 0 3 I I E - O I 0 . 4 c 0.50 0.60

1.00 0.80

1 . 2 4 l b E 00 3 .9345E-04 1 .2b78E 00 4.118b7E-04 I . 312OE 00 b.93bLtE-04 1.?483€ OC 9 .185dE-04

1 . 2 4 l b E 0 0 2.3033E-0'.

I . 3 1 2 5 E 00 4.0199E-04 1 . 2 6 7 8 ~ 00 2 . 8 5 1 6 ~ - 0 4

1 .2C lbE 0 0 1.5L07E-04 1.2678E 00 1.8542f-04 1.312OE 00 2 r b O i b E - 0 4

1 .2416E 00 7 .818OE-05 1 .2676E 00 9 .6345E-05 : . 3 1 Z O E 00 I . 3 4 5 l E - 0 4

1 .3483E '30 5 .2812E-04 1 1 3 4 8 3 E 00 3 . *031E-04 1.3483E 00 1 .74881-06

1.50 2.00 3.00 4.00 5.00

1 . 4 1 6 8 E 00 1 .5863E-03 1 .4658E 00 2 . 5 4 5 l E - 0 3 1.53231 00 7 . 5 b i d E - 0 3 1 . 5 7 6 0 1 00 2 .1556E-02 1.6074E 00 4 . 7 1 i 2 E - 0 2

1 .6515E 00 1 . 4 9 6 1 F - 0 1 1.6874E 00 2 .746dE-01 1.72151 00 5 .10CbE-01 1.740bE 00 6 .9874E-01 1 . 7 6 1 3 ~ 00 q.:iaaE-oi

l . 4 l b 8 E 00 8 .86021-04 1.465RE 00 1 .3264E-03 1 . 5 3 2 3 t 00 3 .0245E-03 1 . 5 7 6 1 1 00 8 .1339E-03 l . bO75E 00 1.9570E-02

1 .6570E 00 7 .951?E-02 1 .6879E 00 1 . b 9 5 9 E - 0 1 1.7225E 00 3 .b92ZE-01 1.742OE 00 5 .4768E-01 1 ,7633E 00 8 .1453E-01

1.4168E 00 5.627CE-04 1.4658E 00 8 .2Ob8 f -04 1.5323E 00 1 .58181-03 1.5761E 00 3.5660E-03 1 .6075E 00 8.60h5E-03

1 .4168E 00 2 . 8 4 5 6 1 - 0 4 1.4b5RE 00 4 . 0 6 3 7 E - 0 4 1 .53231 00 6 .956LE-04 1.5761E 00 1.15401-03 1 .b075E 00 2 .2219E-03

1.6579E 00 1 .26461-02 l r b 8 8 2 E 00 4 . 0 2 3 4 1 - 0 2 1.7233E 00 1 . 3 8 9 4 1 - 0 1 1 - 7 4 3 3 E 00 2 . 6 2 2 8 E - 0 1 1.7654E 00 4 .9818E-01

1.7849E 00 8 .3492E-01 1 .79541 00 1.00111 00 l r B O O 9 E 00 1 .2315E 00 1.8065E 00 1.4022E 00 1.8004E 00 1.4962E 00

1.8L23E 00 1.5966E 00 1 .8138E 00 1 . 6 4 9 3 1 00 1.81461 00 1.68181 00

I . B l b 4 E 00 1.74071 00

1.8173E 00 1.7831E 00 1.81761 00 1179471 00 1.8178E 00 1.80061 00 1 .8119E 00 1.8041E 00 i.81791 00 I . 8 0 6 k E 00

1 . 8 1 5 8 ~ 00 1.1211~ 0 0

1 . 5 0 :o.oo 15.00 20.00 30.00

1.6578E 00 4.2518E-02 I . 6 8 8 I E 00 1.0413E-01 1 . 1 2 3 0 1 00 2 .66b3E-01 L.7427E 00 4 .2812E-01 I .7644E 00 6.918OE-01

50.00 15.00

100.00 150.G0 2CO.GO

300.00 400.00 5 1 0 . 0 0 7 5 0 . 0 0 1000. uo 2OCO.00 3000.00 4000.00 5000.UC bOCC.GO

7000.00

1.7791E 00 1 .2343C 00 1.7885E 00 l . 4 O l b E 00 1 . 7 9 3 3 E 90 1 . 4 9 3 7 8 00 1.1983E 00 1 . 5 9 1 9 1 00 1.8008E 00 1.6134E 10

1 .7818E 00 1 .1207E 00 1.79161 00 1 .3152E 00 1 . 7 9 6 7 1 00 1 . 4 2 4 8 1 00 1 .8019E 00 L.5438E 00 1 . 8 0 4 5 1 00 1 . 6 0 6 9 E 00

1.8033E 00 1 . 6 9 6 1 E 00 1 .8046E 00 1.723YE 00 1.8053E 00 !.7405E 00 I.8ObGE 00 ..7628E 00 1.80b9E 00 L.7741E 00

l . 8 O l b E 00 1.7912E 00 1.8379E 00 1.1969E CO 1.008OE 00 1.7998E 00 i.qoaiE 00 1 . 8 0 1 5 ~ 00 I . 8 0 8 2 E 00 l . 8 0 2 e E 00

1 .80821 00 l . d O 3 5 E 0 0

1.8095E 00 1.b41bE 00 1.8L09E 00 1.68801 00 1.8118E 00 I . 7 1 2 7 E 00 1.8129E 00 1.74b2E 00 L.8135E 00 1 . 7 t J 2 E 00

1 .8117E 00 1 .7309E 00 1 . 8 1 2 1 t 00 1 .7981E G O l . B l 2 2 1 00 1 . 8 0 1 7 E 00 1.812ZE 00 1 .8039E G O 1 .8123E 00 I . 8 0 5 3 E 00

1.8143E 00 1.7890E 00 1.8146E 00 1.1977E 00 1.8147E 00 1.802OE 00 1 .8148E 00 L.8046E 00 1.8149E 00 1.8064E 00

1 .8123E 00 i .BOb3E 00 1 .8124E 00 1 . 8 0 7 1 1 0 0 1 .8124E 00 3.8071E 00 1 . 8 1 2 4 1 00 1 . 8 0 8 2 1 00 l . t l l 2 b E 00 1 . 8 1 2 b E 00

i . 8 1 4 9 E 00 1.8076E 00 1.8150E 00 1.80861 00

1.8150E 00 1.8099E 00 1 .8152E 00 1 . 8 1 5 2 1 00

1 . 8 1 5 0 ~ 00 1 . 8 0 9 3 ~ 00

1 .81HOE 0 0 1.80811 00 0000.00 90C0.00

1 OOCO. 0 0

1.808:E 00 L.80411 00 I.RO82E 00 1 .8046E 00 1.80831 00 1.8050F 00

I N F 1.3014E 00 1.3Od4C 00

63

50.00

Y 7.90051-07 4.0976E-06 8.4749E-06 1.7838E-05 2.7842E-05

TAU = 75.00 TAU = 100.0 TAU = 200.0

X Y 1.0134E 00 2.8355E-08 1.0496E 00 1.4691E-07 1.0833E 00 3 .0371E-07 1.1357E 00 6 .3809E-07 1.1111E 00 9.9410E-07

OMEGA = 0.70 TAU =

z 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

1.5G 10.00

X 1.0134E 00 1 .04968 00 1.0833E 00 1.1357E 00 1.1771E 00

X Y 1 .0134E 00 3 .1663E-07 1 .0496E 00 2.0169E-Ob 1 .0833E 00 4 . l i 4 1 E - 0 6 1.1357E 00 8.7161E-Ob 1 .1771E 00 1 .3552E-05

1 .0134E 00 2.2181E-07 1.0496E 00 1 . l b 6 4 E - 0 6 1.0833E 00 2.4066E-06 1.1351E 00 5 .05356-06 1 .1171E 00 7.812OE-06

l . 2118E 00 1 .082 lE -05 1 .2416E 00 1 .3896E-05 I . 2 6 7 8 E 00 1.7062E-05 1 .3120E 00 2.3643E-05 1 .3483E 00 3.0500E-05

1.211RE 00 1 .8665E-05 1.2416E 00 2 . 3 9 8 l E - 0 5 1 .2618E 00 2 .9353E-05

1.2118E 00 1.3613.E-06 1.24161 00 1 .1549E-06 1.2678E 00 2.1548E-06 1.3120E 00 2 . 9 8 5 l E - O b 1.3483E 00 3 .8516E-06

1 .2118E 00 3.8366E-05 4.9335E-05 6.0696E-05 8.44432-05 1.0939E-04

1.2416E 00 I . 2 6 7 8 E 00 1.312OE 00 1.3120, 00 4 .0791E-05

1 .3483E 00 5.2740E-05

1.4168E 00 8 .3962E-05

1 .3483E 00

1 .4168E 00 1 .4168E 00 4.8596E-05 1 .4658E 00 61777OE-05 1 .53L3E 00 1 . 0 8 6 l E - 0 4 1 .5161E 00 1 1 5 2 5 1 1 - 0 4 1.b075E 00 1 1 9 9 1 4 E - 0 4

1.4168E 00 6 .1356E-06 1.4658E 00 8.5546E-Ob i . 5323E 00 1 .3710E-05 1 .51b lE 00 1 .9225E-05 1.60758 00 2.5075E-05

1.7626E-04 2 .4891E-04 4 .1116E-04 6 .11072-04 9.3028E-04

4.1816E-03 l . 5 8 O l E - 0 2 7 .2527E-02 1 .b039E-01 3 .5840E-01

1.4b58E 00 1.5323E 00 1 .5761E 00 1.6015E 00

1 .4658E 10 l . 1 6 9 9 E - 0 4 I . 5 3 2 3 E 00 1 .8819E-04 1.5761E 00 2 .b634E-04 1 .b015E 00 3 .5135E-04

1 .6579E 00 6 .9456E-04 1 .b579E ' I O 1 . 6 8 8 2 ~ 00

1.6519E 00 3.3242E-04 1.b579E 00 4 .1162E-05

1 . 7 i 3 5 E 00 1 .0800E-04 1.7437% 00 2 .5316E-04

l . b t l 8 2 ~ 00 5 .9527E-05 i . 6 8 8 2 ~ 00 Z . O Z ~ V E - O ~ 1.7235E 00 1.472f lE-02 1 .1437E 00 4 .1203E-02

1.6882E 00 5 .7490E-04 1.1235E 00 3.3525E-03 1 .1437L 00 1 .4213E-02

15 .00 20.00 30. OE

50.00 75.00

100 .00 150 .00 200.00

1.1234E 00 1.7435E 00 1.7658E 00

1.7857E 00 1.7964E 00 :.8020E 00 1.8078E 00 l . 8 1 0 8 E 00

1 .7662E 00 1 .5730E-01

1 .7864E 00 4 . 1 7 4 0 8 - 0 1 1 .7975E 30 b . 8 1 5 4 E - 0 1

1 .1662E 00 b.9ZOBE-02

1 . 7 8 b l E 00 2 . 5 4 i 7 E - 0 1 1 .7980E 00 4 .8944E-01

I . 76b3E 00 2.749OE-03

1.78bBE 00 3 .4916E-02 6 .851)E-01 9 . 4 8 3 4 E - 0 1 1 . l l b O E 00 1 .3134E 00 1.4253E 00

1.5460E 00 1 .b104E 00 1 .6503E 00 I .1050E 00 1.1330E 00

i . 7 9 1 0 ~ 00 1 . 2 9 7 6 ~ - 0 1 1.8044E 00 2 .5094E-01 I . 8110E 00 4 .8588E-01 1.8144E 00 6 .7631E-01

1.8C34E 00 8 .1125E-01 1.8095E 00 l.ll4OE 00 1.812bE 00 1.259RE 00

1 .8158E 00 1 . 4 2 4 l E 00 1 . 8 1 7 5 ~ 00 1 . 5 1 5 2 ~ 00 1 . 8 1 8 4 E 00 1 . 5 7 2 2 ~ 00 1 .8198E 00 1 .6515E 00 I . 8 2 0 4 C 00 1 .b927E 00

1 .8214E 00 1 .1564E 0 0 1.8218E 00 1 .7181E 00 1.8219E 00 1 . 7 8 9 i E 00 1.822OE 00 1 . 1 9 5 l E G O

1.804OE 00 6 .7968C-01 1 .b IU2E 00 9 .4421E-01 1 .8135E 00 1 .1130E 00

l . n i 7 9 E 00 9 .4152E-01 1.81V8E 00 I . l l l O E 00 1.8209E 00 1.2269E 00 L.8224E 00 1.4007E 00 i . 8 2 3 2 E 00 ~ . 4 9 6 b E 00

1.8243E 00 1.6529E OC 1.8247E 00 1.7085E 00 1.8249E 00 1 . 7 3 1 0 t 00

3 C O . O G 1.8138E 00 1.8153E 00 1 .81b3E 00 1.8175E 00 1.8181E 00

1.B19.E 00

4CO.00 5C0.00 750.00

LOOO.00

2000.OG 3000 .00 4000.00 50C0.00 6000.00

1.8221E 00 1.7359E 00 1 .8231E 60 1 .1647E 00 1.8233E 00 1 .7793E 00

1.1160E 00 l r 8 1 9 4 E 00 1 .8195E 00 I . 8 1 9 6 E 00

1.79C5C 00 1 .1V79E 00 1.8023E 00 1.8234i 00 i . 7 8 d l E 00

1 . 8 2 3 4 ~ 00 1 . 7 9 ~ 0 ~ 00

1.8235E GO I . 7 9 8 2 E 00

1 . 8 i 5 0 E 00 1.1544E 00 1.8251E 00 l .7bbOE 00

1.8252E 00 1.1744E OC

i . 8 0 5 2 E 00

1 .8G l3E 00 1.8089E 00

l.822;E 00 1 .8G02E 00

I . 8 2 2 2 t 00 l . 8 0 3 3 E 00 1000.00 80C0.00 90CO.00

i 0 0 0 0 . 0 0 I N F

1 . 8 1 9 l E 00 1 .8198E 00

1.8198E 00 1.8200E 00

1 . n i 9 8 ~ 00 1 . 8 2 3 5 ~ 00 i . 8 0 1 4 ~ 00 1 .823bE 00 1.8039E 00 1.8236E 00 1.8059E 00

1.8252E 00 1.7807E 00 1.8252E 00 1.185bE 00 1.8253E 00 1.189bE O C L.8255E 00 1.8255E 00

1 . 8 1 0 i E 00 1.8111E 00 l .82CJE 00 I . 8 2 3 d E 00 1 .8238E 00

TAU =

X 1.0134E 00 1.049bE 00 1.0833E 00 1 .1351E 00 1 .1711E 00

1.2118E 00

251 .8

Y 9 .5317E-09 4.9408E-08 1.OZlOE-07 2 .1450E-07 3.341dE-07

4 . 5 9 6 5 L - 0 1 5.8993E-07 1 .2436E-07 1 . 0 0 3 l E - 0 6 1 . ~ 9 4 8 ~ - 0 6

2.0626E-Ob 2 .8751E-06

b.4b29E-Ob 8 .4293E-06

4 . 6 0 8 7 ~ - 0 6

L 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80

1.241bE 00 1.2b18E 00 1.3120E 00 i . 3 4 8 3 E 00

~~

1.00

1.50 2.00 3.00 4.00 5.CO

1.4168E 00 l . 4 6 5 8 E 00 1.5323E 00 1 . 5 7 t l E O C 1.6075E 10

7.50 10.00 15.OC 20.00 30.60

50.00 75.00

lCO.OO 150.00

1.6519E 00

1.1235E 00 1.7431E 00 1.7b63E 00

L.78b8E 00 1.1983E 00 1 .8044E 00 1 .8L IOE O C I . 8 1 4 4 E 00

1.818OE 00

baa^^ 30 1.3831E-05 2.000VE-05 3.532OE-05 b .20P4E-05 5 . 3 i o a ~ - o 4

1.2239E-02 6.+299E-O2 1 . 4 8 1 i E - 0 1 3 . 4 1 8 l E - 0 1 5 .1956E-01

1 .8916E-01

200.00

300.0C 400.00 1 .8199E 00

1.8210E 00 1.8225E 00

9 . 1 3 7 l E - 0 1 1.10'2E 00 ? .305bE 00

5C0.00 750.00

1000.00

2000 .0c 30CO.60 4000.00 5000 .00 6000 .00

70CO.00 8000.00 9000.00

100CO.OO I N F

~ ~~

1 . 8233E 30

1.8245E 00 1.B249E 00 l . 8 2 5 1 E O G 1.82526 00 1.8253E 00

1.4198E 00

I.61COE 00 1 . 6 l b 9 E 00 1.7144E 00 1.13t:E 00 1.1501E 00

1.8253E 00 1.8254E 30 1 .8254E 00 1.8254E 00 1.8257E 30

1.7612E 00 1 .7692E CO 1.7154E 00 1.1803E O C 1 . ~ 5 7 ~ 00

64

- -. . . . .. ._

T4U = 0.100 T A U - 0.260 TAU = 0.300 OMEGA - 0.80

r4u = 0.050

z 0.01 0.05 0.10 0.20 0.30

0 . 4 0 0.5C 0.60 0.80 i .o r

1 . 5 0 2.00 3.00 4 . G O 5.00

7.50 10.00 15.00 20.00 30.00

50.00 15.00

100.00 150 .00 200.00

300.CO 400.00 5C0.00 150 .00 1000.00

2000.00 3 0 0 0 . 0 0 4000.00 5000.00 6000.00

700C.00 8000.00 9000.00

10000.00 I Y F

I 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0. bO 1.00

1.50 2.0C 3.00 4 . O C 5.00

1 . 5 0 10.00 15.00 20.00 3 0 . OC

50.00 15.00

100.00 150 .00 200.00

3 C O . 0 0 400.00 500.00 150.00 l000.00

2000.00 3 0 0 0 . 0 0 4000.00 5000.00 6000.00

l O C O . 0 0 8000.00 9000 .00 10000.00

I N F

X I 1 .0143E 00 6 .9258E-03 1 . 0 4 7 2 t 00 1 .1092E-01 L.0644E 00 4.23391-01 1.01721 00 6 . 7 8 1 l E - 0 1 1 .0824E 00 1 .9491E-01

1 . 0 1 5 7 1 00 5 . i 3 1 5 E - 0 3 1 .0526E 00 4.80651-02 1.08131 00 1 .93171-01 I .1096E 00 4.60061-01 1 . 1 2 2 9 1 00 6.22851-01

! .0 i49E 00 4 .32731-03 1 .05421 00 2 . 6 8 0 l E - 0 2 1.0818E 00 1.02291-01 1.1273E 00 3 .1915E-01 1.1484E 00 4 .9042E-01

1 . 0 8 5 2 1 00 8.6086E-01 1 .0810E 00 9.03101-01

1.1306E 00 7 .2621E-01 1 . 1 3 5 6 1 00 1 .96751-01

1.1613E 00 6 .1195E-01 1.1100E 00 1.0014E-01

l . O B 8 2 t 00 9 .3244E-01 1 . 0 8 9 l E 00 9.735OE-03 1 .090bE 00 9 .9s09E-01

1.1391E 00 8 + 4 1 7 3 E - 0 1 1.1437E GO 9.1630E-01 l . L I b 5 E 00 9 .6019E-01

1.11bZE 00 1 . 6 6 4 2 E - 0 1 1.18441 00 8.58761-01 1 .18971 00 9 .19761-01

I . 0549E 110 1 .0219E 00 I . 0 5 5 1 E 00 1.03031 00 ?.055PE 00 I .038TE 00 1.0556E 00 1 . 0 4 2 9 8 00

1 .0919E 00 1 .0Zb5E 00 1 .1505E 00 1.02221 00 1 .1525E 00 1 . 0 5 4 l E 00 1.1546E 00 le ( l d83E 00 1.1556E 00 1.1055E 00 1.1563E 00 1 .1159E 00

1.1511E 00 I m i 3 0 1 E 00

1.1971E 00 1.0083E 00 ... 1.osi5E 00 i;oiiiE 00 1 .0932E 00 1 .05998 00 1 . 0 9 3 5 E 00 l .Ob85E 00 1 .09371 00 1.0136E 00

l ; i O 0 9 E 00 1.0559E oa 1.2049E 00 1 .1058E 00 1 .20691 00 1 . 1 3 1 7 1 00 1.208ZE 00 1.1475E 00 i . 0 5 5 5 E 00 i ; & T j E 00

1.055bE 00 1 . 0 4 1 9 1 00 1.094OE 00 1.0805E 00 1 . 0 9 4 1 1 00 1.Od4CE 00 I.0942E 00 1 .0875E 00 1 .0943E 00 1 . 0 8 9 2 E 00 1.0144E 00 1.091DE 00

1 . 0 9 4 4 E OC I . 0 9 2 4 E 00 1 .0945E 00 1.0931E 00 1 .0945E 00 1.09341 00 1 .0945E 00 1 .09388 00 1.0945E 00 1.0940t 00

1.0945E 00 I . 0 9 4 Z E 00 1 .0945E 00 1 .0942E 00 1 . 0 9 4 5 E 00 1.0943E 00 1.0945E 00 1 .0944E 00 1 .0945E OD 1 . 0 9 4 4 E 00

1 . 0 9 4 5 E 00 1 .0945E 00 1.C945E 00 1 . 0 9 4 5 E 00 1 .0145E 00 i . 0 9 4 5 E 00 1.0945E 00 1 .0945E 00 l .OY45E 00 1.0945E 0 0

1.0945t 0 0 1 .0945E 00 1 .0945E 0 0 1.0945E 0 0 1 .0945E 00 1 .0945E 00 1.0945E 00 1 .0945E 00 1.0945E 0'3 1.0945E 00

1 1 2 0 9 8 1 00 1.1690E 00 1 .21071 00 1 . 1 7 9 9 1 00 1.2115E 00 1 .1909E 00 l . Z I Z O E 00 1.1964E 00 1.2124E 00 1 . 2 0 2 0 1 00

1.2127E 00 1 . 2 0 6 5 1 OC 1 . 2 1 2 9 1 00 1 . 2 0 8 7 1 00 1.2130E 00 1.2099E 00 1.2131E 00 1.211OE 00 1.2131E 00 1.2115E 00

1.2132E 00 1 . 2 1 2 1 1 00 1.2132E 00 1 . 2 1 2 4 1 00 l .213ZE 00 1 .212bE 00 1 .21321 00 1.2128E 00 1 .2132E 00 1.2129E 00

1.2132E 00 I . 2 1 3 1 E 00 1.2132E 00 1.2131E 00 1.2132E 00 I . 2 1 3 2 E 00 1.2132E 00 1 . 2 1 3 2 1 00 1 . 2 1 3 2 1 00 1 .21328 00

1.2132E 00 1 . 2 1 3 2 1 00 1.2132E 00 1 .2132E 00 1.2132E 00 1 . 2 1 3 2 E 00 1.2132E 00 1.2132E 00 1.213ZE 00 1.2132E 00

1.0556E 00 1 .050bE 00 1.05578 00 1 .0523E 00 l r 0 5 5 7 E 00 1.05321 00

1 .1515E 00 1.1312E 00 I . 1 5 8 0 E 00 1.1444E 00 1.1582E 00 1-14801 00

1.0557E 00 1.0540E 00 i . 1 5 8 4 E 00 1 .15161 00

1.1586E 00 1.1545E 00 1.1581E 00 1.1559E 00 1.1581E 00 1 . i507E 00 1 . ~ 5 8 8 E 00 I . 1 5 7 4 E 00 1.1588E 00 1 .15771 00

1.1588E 00 1 . 1 5 d l E 00 1.1588E 00 1.1583E 00 1 . 1 5 8 8 1 00 1 .15d41 00 1.1588C 00 1..585E 00 1.1588E 00 1.15dbC 00

1 . i 5 8 8 E 00 1 . 1 5 8 l E 00 1 . 1 5 8 8 E 00 1 . 1 5 8 8 1 00 1 .1588E 00 1 .1588E 00 1 .15d8E 00 I a i b d B E 00 1.1588E 00 1.1588E 00

1 . i 5 d d E 00 1 r l 5 8 8 C 00 1 . i 5 t l 8E 00 L . l Z e 8 E 00

1.1588E 00 I . i 5 8 8 E 00 ;.1588E 00 I a i 5 d B E 00

1.158nt 00 1 . 1 5 8 8 ~ 00

T4U = 0.400 T A U = 0 , 5 0 0 TAU = 0.600

X I 1.0153E 00 2.9*30E-03 1.05b3E 00 1 .6037E-02 I . 0 9 4 1 E 00 3.7978E-02 1 . i 4 9 0 E 00 1 . i 9 5 6 E - 0 1 l .18bOE 00 2 . 5 4 5 l E - C I

1.2118E GO 3 .1360E-01

T4U = 0.800

1.015CE 110 3 .1270E-03 1.0551E 00 Z.0972E-02 I . 0 9 1 0 E 00 6 . 4 1 1 4 E - 0 2 1 .1319E 00 2 . 2 8 0 l E - 0 1 1.1655E 00 3 .d955E-01

1.0154E 00 2 . 4 2 b l E - 0 3 1.0571E 00 1.31ZOE-02 1.0959E 00 2 . 9 0 6 l E - 0 2 1.1545E 00 8 .50031-02 1.19118 00 1 . 7 5 5 4 E - 0 1

1.1833E 00 5 . I b 8 5 E - 0 1 1 .1795E 0 0 4 .3d31E-01 1.228bE 00 2 .7625E-01 1.1955E 00 6.1587;-01 I . 2045E 00 6 . 9 1 3 6 E - n I 1 .2167E 90 8 .0172E-01

1 .2152C 00 5 . 4 0 5 I E - 0 1 1 . 2 2 6 9 t 00 b .2327E-01 1.2431E 00 1 . 4 6 8 1 E - 0 1

1.2306E 00 4 .1605E-01 1.2448E 00 5 .6202C-01 1.2649E 00 b .9473E-01

1.2247E 00 8 . 1 6 8 Y E - 0 1

1 .2359E 00 9 .8902E-01

1 . 2 5 3 8 ~ 00 8 .3353E-01

1 . 2 6 9 2 L 0 0 9 . 6 6 4 4 E - 0 1

1.2184E 00 7 .9068E-01

l . i 9 8 1 E 00 9 .4170E-01

I . 3114E 00 1 . 0 0 4 6 E - 0 1

1.3458E 00 8 .8850E-01 1.2419E OC 1.05C7E 00 1 .24d2E 00 1 .1165E 00 L.2514E 00 1 . 1 5 1 3 E 00

1.i115t 00 1.0412E 00 l r 2 8 b 2 E 00 1 .1223E 00 1 .2908E 011 1 .1b52E 00

L .30891 00 1 .0286E 00 1.3203E 00 1 .1243E 00 1.3262E 00 1.1756E 00

1.3617E 00 9 .9685E-01 1.37d7E 00 1.1197E 00 1.3878E 00 1.1811E 00

1.2533E 00 I . 1 l Z Z E 00 1.2935E 00 1.1919E 00 1.3299E 00 l . i O 1 b E 00 1.39351 00 1.229lE OC

1 .2560E 00 l . i O i 2 E 00 1.2573E 00 1.2159E 00 I . 2 5 8 6 E 00 1.230'4E 00 1.2593E 00 1 . 2 3 6 4 1 00 1.2bOOE 00 1.2460E 00

1 . 2 9 1 3 1 00 1 . 2 2 8 4 E 00 l . i W 2 E 00 l . Z L l 1 E 0 0 1 . 3 0 1 1 1 00 1.2b61E 00 1.3021E 00 1 . 2 1 5 1 E 00 1 .3031E 00 1 .2854E 00

1.3348E 00 1 . 2 5 1 l E 00 1 . 3 3 7 4 1 00 1.2144E 00 1 . 3 3 9 9 1 00 1.29758 00 1.3412E 00 1 . 3 0 9 3 8 00 1 . 3 4 2 5 E 00 1.3211C 00

1.4OlOE 00 1.2890E 00 1.4049E 00 1.3198E 00 1 . 4 0 8 9 1 00 1 . 3 5 1 4 1 00 1 .4 i09E 00 1 .3615E 00 1.4129E 00 1.3838E 00

1.41461 00 1 . 3 9 7 0 1 00 I . + l > 4 E 00 1.4031E 00 1.41588 00 1 .4070E 00 1 .41621 30 1.6103E 00 1.4lb4E 00 l .412OE 00

1 . 3 4 3 6 E 00 1.33071 00 1.3441E 00 1.3355E 00 I . 3 4 4 4 E 00 1.3379E 00 1.344bE 00 1 .3403E 00 1 . 3 4 4 8 E 00 1.3415E 00

1.2bObE 00 1 .2521E 00 1.26081 00 1.2552E 00 1.2610E 00 1 . 2 5 6 8 1 00 1 . 2 b l l E 00 1 .2583E 00 l . Z b l Z E 00 1 .2591E 00

1.3031E 00 1 .2932E 00 1 .3042E 00 1 . 2 9 7 1 1 00 1 .3044E 00 1 . 2 9 9 1 E 00 1 .3046E 00 1 . 3 0 1 l E 00 1 . 3 0 4 1 E 00 1 . 3 0 2 1 E 0 0

1 .3048E 00 1.3U30E 00 1 .3049E 00 1 .3035E 00 1.3049E 00 1 . 3 0 3 8 E 00 1 .3049E 00 1 .3042E 00 1 .3050E 00 1 .3044E 00

L.4166E 00 1.4131E 00 1 . 4 i b l E 00 1.41451 00 I . 4 i b B E 00 1.4150E 00 1.4169E 00 1.4L51E 00 1.4169E 00 1 .4160E 00

1.41701 00 I . L l b 5 E 00 1.41701 00 1 . 4 1 6 7 1 00 1.41701 00 1.4168E 00 1.4170E 00 1.4169E 00 1 .41701 00 1.4169E 00

L.2614E 00 1 . 2 b I l E 00 1.Zb14E 00 1 . 2 b l 2 E 00 1.2614E 00 1 .2b13E 00 1 .26141 00 l . 2 b l 3 E 00 I.Zbl4E 00 1 . 2 b i 3 1 00

1.2614E 00 1 .2b13E 00 1 .2614E 00 1 .2613E 00 1.2614E 00 1 .2b13E 00 l . 2 b l 4 E 00 1 . 2 b l 3 E 00 1 .26141 00 1 . 2 6 1 4 1 00

1.3050E 0 0 1 . 3 0 4 1 E 00 1 .3050E 00 1 .3048E 00 1 .3050E 00 1 .3049E 00 1.30501 00 1 .3049E 00 1 .3050E 00 L.3049E 00

i . 3 4 5 1 E 00 1 . 3 4 4 8 E 00 1 .3451E 00 1.3449E 00 1.5451E 00 1.3450E 00 1 .3451F 00 1.3450E 00 1.3451E 00 1 . 3 4 5 0 1 00

1.3050E 00 1 . 3 0 4 9 1 00 1.3050E 00 1 . 3 0 5 0 1 00 1.3050E 00 1 . 3 0 5 0 1 00 1 . 3 0 5 0 1 00 1.305CE 00 1.3050E 00 1 .30508 00

1.3451E 00 1.3450E 00 1.3451E 00 1.3451E 00 1.3451E 00 1 .3451E 00 1.3451E 00 1 . 3 4 5 l F 00 1.3452E 00 1 . 3 4 5 2 1 00

I .4170E 00 1.4169E 00 l .4110E 00 1 .41b9E 00 1.4170E 00 1.4169E 00 1.4170E 00 1.4110E 00 1.4171E 00 1.4111E 00

65

TAU = *.500

X Y 1.0156E 00 1 .43178-03 1.0584E 00 7.6648E-03 1 .0987E 00 1 .b501E-02 1.1618E 00 3 .8450E-02 1.2117E 0 0 7.1108E-02

TAU = 2.OCO TAU = 2.500 OUEGA - 0.80

TAU = 1.000

2 0.01 0.05 0.10 0.20 0.30

X Y 1.0155E 00 2 .0497E-03 1.057bE 00 1 .1037E-02 1.0970E 00 2.4035E-02 1.1577E 00 b .2657E-02 1.203bE 00 1 .2793E-01

X Y 1.0158E 00 8 .0086E-04 1.0590E 00 4 .2653E-03 1.1000E 00 9 . l l 2 6 E - 0 3 1.1049E 00 2 .0511E-02 1.2170E 00 3 .4667E-02

1 . 2 6 l L E 00 5 . 3 1 0 0 8 - 0 2 1.2991E 00 7 .7259E-02 1.3324E 00 1 .0729E-01

I . C l 5 7 E 00 1 .0537E-03 1.0588E 00 5.624OE-03 1 .09958 00 I . 2 0 5 i E - 0 2 1 . 1 6 3 8 ~ 00 2 . 7 3 7 8 ~ - 0 2 1.2152E 00 4.7534E-02

1.2582E 00 7.54>7E-O2 I . 2 9 4 9 E 00 1 .1189E-01 1 .3265E 00 1 .5515E-01 1 .3780E 00 2 .5255E-01 1.4178E 00 3 .5243E-01

1.48bOE 00 5 .7381E-01 1 .5286E 00 7.4411E-01 1 . 5 7 8 8 t 00 9 .7403E-01

0.40 0.50 0.60 0.80 1.00

~~

1 .3877E 00 1 .8084E-01 1.4317E 00 2 .63701-01

1.5095E 00 4 .6809E-01 1.3833E 0'1 8 .3312E-01 1.4043E 00 3.5921E-01 1 + 4 2 7 2 E 00 1.10b5E 00

1 .447bE 00 6 .9690E-01 1 . 4 8 0 5 ~ 00 8.53228-01 1 . 5 1 7 8 ~ 00 1 . 0 ~ 7 ~ 00 1.5384E 00 1.1663E 00 1.5514E 00 1 .2430E 00

1 .5697% 00 1 .3539E 0 0 1.5792E 00 I . 4 1 3 4 E 00 1.5989E 00 1 .4757E 00 1 .5939E 00 1 .5079E 00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00

1.5599E 00 6 .4011E-01 I . b i O 9 E 00 8 .9062E-01 1.65b2E 00 1 .0554E OC 1 .4395E 00 1.1892E 00

1.4472E I O 1.2421E 00

1.4577E 00 1.3165E 00

1 .6072E 00 1.1179; 00 1.6255E 00 1.21,4E 00

1.6514E 00 1.3602E 00

1.6793E 00 1.1704E 00

1.7123E 00 1.3456E 00 1.4632E 00 1 .3555E 00 1.4687E 00 1.3957E 00 1.4715E 00 1 .4163E 00

1.bb50E 00 1.4395E 00 1 .6792E 00 1.5238E 00 I . 6 8 6 4 E 00 1 + 5 b a O E 00

1.7300E 00 1 . 4 4 3 7 € 0 0 1.748-E 00 1.5497E 00 1 . 7 5 7 9 ~ 00 1 . 6 0 5 8 ~ on

1 .4743E 00 1.4371E 00

1.47bbE 00 1.4542E 00

1.5990E 00 1.5409E 00

1.b031E 00 1 .5679E 00

1.6938E 00 1.613bE 00

1.6998E 00 1.6511E 00

l .7676E 00 1.66ilE 00

i . 775bE 00 I .7124E 00 1.779bE 00 1.7371E 00 75.00

LOO.OO 150.00

1.4778E '10 I . 4 b i B E 00 1.4784E 00 I . L b 7 1 E 00 1 .4789E 00 1 . 4 l i 4 E 00

1.bC51E 90 I . 5 8 l b E 00 l .bO62E 00 1 .5884E 00 1.6C72E 00 1 .5954E 00

1 .7029E 00 1.b701E 00 1 . 7 0 4 4 ~ 00 1 . 6 7 9 8 ~ 00 1 . 7 0 6 0 ~ 00 1 . 6 8 % ~ 00

1 . 7 e 1 6 ~ 00 1 . 7 4 9 6 ~ 00 1.783bE 00 1.7622E 00 :-7847E 00 l . 7 6 8 b E 00 2OO.OC

300.00 400.00

1.b077E 00 1 .5986E 00

1.6083E 00 1 .b023E 00 1.6085E 00 1 .6041E 00

1.7067E 00 1.6Y43E 00

1 .7075E 00 1.6992E 00 1 . 7 0 7 9 t 00 1 .7017E 00

1.7857E 00 1 .7749E 00 1 .78b2E 00 1 . 7 7 8 1 ~ on

500.00 750 .00

1000.00

1.479BE 00 1.4775E 00 1.4799E 00 1.4784E 00 1.4799E 00 l . 4 7 8 8 E 00

1.6087E 00 1 .6051E 00 1.6089E 00 1 .60b5E 00 1.b09OE 00 I . 6 0 7 2 E 00

1.6091E 00 1.bO82E 00 1.6CY2E 00 1 .6086E 00 I . 6 d 9 2 E 00 1 .6088E 00 1.6092E 00 1.608YE 00 1.b092E 00 1 . b 0 8 9 E 00

1.6093E 0 3 1 .6090E 00 1 .6093E 00 :.b090E 00 1 .6093E 00 1 .6091E 00 1 .6093E 93 1 .6091E 00 1 . b 0 9 3 i 00 i . 5 0 9 3 E 00

1 .7081E 00 ~ . 7 0 3 1 F 00 1 .7084E 00 1.7051E 00 l . 7 0 8 t E 00 1.7061E 00

~~ ~. 1.7865E 00 1.78OOE 00 1.7669E 00 1.782bE 00 1.7871E 00 1.7839E 00

1 . 7 8 7 4 ~ 00 1.78588 00 1.7675E 00 1 .78648 00 :.787bE 00 1 .7868E 00 1 .787 tE 00 I . 7 8 7 0 E 00 L.7876E 00 1.7871E 00

1.787bE 00 1.7872E 00 1.7876E 00 1.7872E 00 1.7677E 00 1.7873E 00 1 . 7 8 7 7 ~ 00 1 . 7 8 7 3 ~ 00

2000.00 3000.00 4oco. 00 5000.00 6000.00

1.480OE 00 1 . 4 7 9 4 E 00 1.4800E 00 1 .4797E 00 1.4801E 00 1.4798E 00 1 .48C lE 00 1.4798E 00 I.4801E 00 1 .4799E 00

1.7088E 00 1.7076E 00 1 .7089E 00 1.7081E 00

1 . 7 0 8 9 i 00 1.7084E 00 1 .7090E 00 1.7085E 00

1 . 7 0 8 9 ~ 00 1 . 7 0 8 3 ~ 00

7ooc . l Jo 80c0.00 9000.00

1 .4801E 00 1 .4799E 00 1 .4801E 00 1 .4799E 00 1 . 4 8 0 1 E 00 l . 4 8 0 0 E 00

I . 7 0 9 0 E 00 1.70b6E 00 1 .7090E OC 1.70d7E 00 1 .7090E 00 1 .7L87F 00

10000.00 I N F

1.4801E 00 1.48LOE 00 I . 4 8 0 1 E 00 1 . 4 8 O l E 00

1 .7090E 00 1.70a7E 00 1.7090E 00 I .7090E 00 1.7877E 00 1.7877E 00

TAU =

X :.0158E 00 1.0591E 0 0 1.1003E 00 1.1b55E 00 1.2181E 00

3.000

Y 6 .2285E-04

TAU = 3.500

X Y 1.0158E 00 4 . 9 3 i 9 E - 0 4

r & u =

X 1 .0158E OC 1 . 0 5 9 3 t 00 1 .1006E 00 1.lbblE 00 1.2191E 00

l . Z b 4 2 E 00 1 .303bE CO 1 .3385E 00 1.398ii 00 1 .L473E 00

1 . 5 3 9 5 t 00 1 . 6 0 3 5 t 110 1.b86OE 00 1.736bE 30 1 .7706E 00

4.000

Y 3 1 9 b b 3 E - 0 4 2.1039E-03 *.4702E-03 9.VL95E-03 1.639.1E-02

T4U = 4.500

z 0.01 1.0158E 00 3 .2310E-04

1.0593E 00 1 . 7 I Z 2 E - 0 3 1.1CObE 00 3 .6331E-03 1.1663E 00 8 .0462E-03 I . 2194E 00 1 .3236E-02

1.264bE 00 1 .9299E-02 1.3041E 00 2 .6465E-02 1.3392E 00 3 .5100E-02

0.05 0.10 0.20 0.30

3.31 2OE-03 7 .0602E-03 1.58O>E-02 2 .6389E-02

l . 0 5 9 2 E 00 2.6196;-03 1.1005E 00 5 .5743E-03 1.1659E 00 1 .2425E-02 l . i l 8 7 E 00 2.0609E-02

1.2b3bE 00 3 .0463E-02 1.3028E 00 4.2663E-02 1.3374E 00 5 .7912E-01

1.4444E 00 1 .5105E-01

1 .5335E 00 3 .0724E-01 1.5942E 00 4 .6389E-01 1.6711E 00 7 .2363E-01 1 .7175L 00 9 . 1 3 4 l E - 0 1 1.7484E 00 1 .0536E 0 0

1 . 3 9 6 ~ ~ 00 9 . 8 5 8 + ~ - 0 2

0.40 0.50

1.2b27E 00 1 .3014E 00 1 .3356E 00 1.3931E 00 1.4397E 00

3.9525E-02 5 .6304E-02

2 .4037E-02 3 .3250E-02 4 .457 IE-02 0.60

O . 8 C 1.00

7. 7 4 3 5 F - 0 2 1 .3214E-01 1 .9867E-01

7.505bE-02 1. i b O 8 E - 0 1

I .3Y93E 00 5.8247E-02 1 .44Y lE 00 9 .02S3E-02

1.5435E 00 2 .0083E-01 1.50 2.00 3.00

1.5241E 00

I .6503E 3C 1.6916E 00

1 . 5 8 0 5 ~ 30

1 . 7 1 8 9 ~ 00

3 .7977E-01 5 .4b85E-01 8.05d'3E-01 9.85 7VE-01 1.1149E 00

1 .3169E 00

2 .4d33E-01 3 .9184E-01 6 .6599F-0 I

1.6099E 00 3.3'102E-0; 1.6Yb7E 00 5 .7410E-01 ?.7507E 00 7 .7111E-01 4.00

5.00

. .. 8.4123E-01 V.8958E-01

1.234OE 00

1 1 7 8 7 4 E 00 9.2569;-01

1.8424E 00 1 . 1 8 5 5 E 00 7.50 1o.oc 15.00 20.00

1.7565E 00 1.7798E 00 l . 8 0 2 2 E 00 1.8139E 00 1.8258E 00

1.7938E 03 1 .2786E 0 0 1.8211E 00 1 .4325E 00 1.5593E 00 1 .b272E 00

1.8185E 00 I . 4 1 0 3 E 00 1.8446E 00 l . 5569E 00 1.8583E 00 1 . b 3 6 3 E 00

I . 8 4 8 8 E 00 1.8783E 00 1.8938E 00

1.3803E 00 1.5456E 00 1.b361E 00

~ ~~ ~. 1.8727E 00 1.3448E 00 1.9053E 00 1.5276E 00 1.9iZ5E 00 1.6288E 00 1.9402E 00 1 . 7 3 7 2 1 OC 30.00

5o.or.

1 .b963E 00

1.757bE 00 1.7881E 00

1 .8723E 00 1 .7201E 00

1.8839E 00 1 .79046 00

1.9098E 00

1 .9230E 00 1 .9297E 00

1.7323E 00

1.835bE 00 1.813bE 00 1.8558E 00

i . 9 5 5 0 ~ 00 1 . 8 2 1 5 ~ 00 1 . 9 6 ~ 5 ~ 00 1 . 8 7 7 6 ~ 00 1.96b3E 00 1 . 9 0 2 l E 00 1.9701E 00 1.9270E OC 1.972OE 00 1.9396E 00

I .9740E 00 1.9522E 00 1.9749E 00 1.958bE OC 1.9755E 00 1.9624E 00 1 + 9 7 6 3 E 00 1 .967bE 00 1.9767E 00 1 .9701E 00

75.00 100.00 150.00 200.00

1.8406E 00 1.8431E 00 1.8456E 00 1.8469E 00

1.8035E 00 1.819:E JO 1.B2b)E 00

1.8348E 00 1.8388E 00 1 .8412E 00

1 .8453E 00

1 .8463E 00 L.8491E 00 1.8495E 00

1 . 8 4 4 3 ~ 00

1.9331E 00 1 .9365E 00 1 .9382E 00

1.9399E 00 1.9408E 00 i . 9413E 00 1 .9420E 00 I . 9 4 2 4 E 00

1 .9429E 00 1 .9431E 00 1.9432E 00 1.9*32E 00 1.9432E 00

1 .9433E 00 1 .9433E 00 1.9433E 00 1 .9433E 00

1 .87738 00 1.8991E 00 1 .9101E 00

1 . 9 i l l E 00 1.92b7E 00 1.93COE 00 1.9345E 00 1 .9367E 00

:.9400E 00 1.9412E 00 1.9417E 00

300 .00 400.00 500.00 750.00

1 0 0 0 . 0 0

2OCO.00 3000.00 *ooo.oo

1 .9482E 00 1 .8488E 00 1.8492E 00 i . 8497E 00 1 .8499E 00

1 . 8 5 0 3 E 00 1 .85058 00

1.8506E 00 1 .850bE 00

1 . 8 5 0 5 ~ 00

1 . 8 5 0 6 ~ 00 1.850bE 00 1.85ObE 00

1.8987E 00 1 .8d26E 00 1.8994E 00 1 .8874E 00 1 .8999E 0 0 1 .8902E 00 1 .9005E 00 1 . 8 9 4 l E 00 1.9008E 00 1 .8960E 00

1 . 9 0 1 2 ~ 05 1.8qaaE 00 1.9014E 00 1.8998E 00 1.9019E 00 I . 9 0 0 3 E 00

5000.00 60CO.CO

7000.00 8000.00 9000.00

10000.00 I N F

1 .8498E 00 1.8499E 00

I .9015E 30 1 .9006E 00 1.9016E 00 1.9007E 00

1 .9421E 00 1.9423F 00

1.9424E 00

?.9776E 00 1.9766E 00

1.9777E 00 1.9767E 00 1 .8503E 0 0 1 .8501E 00 1.85C2E 00 1.8502E 00

1.901bE 00 1 .900YE 0 0 1.9016E 00 1.901CE 00 1.9016E 00 1 .9011E 00 1.9d16E 00 1 .9011E 00

1.9426E 00 1.9427E 00 1 .9427E 00

1.9777E 00 1.9769E 00 1.9777E 00 1.9770E 00 1 .97771 00 1.9771F 00 i i i 5 o b E ao

1.8507E 00 I .85C7E 00 1.9017E 00 1.Y017E 00 1 .9434E 00 1 .9s34E 00 1.9778; 00 ii977iE 00

66

1 4 U = 7.500

X V 1.01588 00 l . l b 4 3 E - 0 4 1 .0594E 00 6 .14048-04 1 .1008E 00 1 .29568-03 1 . l b 6 6 E 00 2 .8339E-03 1 .2199E 00 4 .5956E-03

TAU - 10.00

X Y 1.0158E 00 6 .0604E-05

T4U = 15.00

x ” O ~ E G A - 0.80

1 4 U = 5.500

I 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.0C 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75. GO

100.00 150.00 200.00

300.00 400.0C 5 0 0 . C O 750.00 1000.00

2000.OC 30CO.00 4000.50 5OCO. CO b000.Cfl

7000.00 8000.00 “000.OC 10000. oc

INF

2 0.01 0.05 0.10 0 . 2 0 0. 3 0

0.40 0 . 5 0 O.bO 0.no i .00

1.5F 2 .00 3.00 4 . L O 5.00

7.50 10.00 15 .00 20.00 30.00

50 .00 75. GO

100.00 150.00 200 .00

300.00 400.00 500.00 110.OC

1000.00

2000 .00 3 0 0 0 . 0 0 ~ 0 0 0 . 0 @ 5000 .00 6000.00

7000 .00 ~000.00 9 O O O . 0 0

100CO.00 ILlF

x Y 1.0158E 00 1 .6627E-04 1.0158E 00 2 - 2 9 9 5 1 - 0 5

1.0594E 00 1 -2ObBE-04 :.1008E 00 2.5289E-04 1 . l b 6 6 E 00 5 . 4 5 1 4 E - 0 4 1.22OOE 00 8.70138-04

1.26558 00 1 .2253E-03 1.3053E 00 1 .60971-03 1.34088 00 2 . 0 2 3 l E - 0 3 I . 4017E 00 2 .9397E-03 1.4528E 00 3.9084E-03

1.0594E 00 3 .1901E-04 l . lOO8E 00 6 . 7 l O l E - 0 4 I . l b b b E 00 1 .458 iE -03 1.22OOE 00 2.3474E-03

1 .2649E 00 1 .571bE-02 1 .2653E 00 b .5051E-03 1 .30511 00 0 .8199E-03 1 .34058 00 1 .1332E-02 1 .4014E 00 1 .74388-02 1 .4523E 00 2 .5b31E-02

1.2654E 00 3.33bbE-03 1 .30458 00 2 .1414E-02 1.3397E 00 2 .8160E-02 I . 4000E 00 4.6005E-02 1 .45031 00 7 .1028E-02

1.552OE 00 7 1 4 5 8 3 1 - 0 3 l.biS1E 00 1 .33528-02 1.7276E 00 4.0096E-02 1.7970E 00 9 - 1 0 9 3 1 - 0 2 1.8*76E 00 1 . 6 0 7 4 8 - 0 1

1.5461E 00 1 .6210E-01 1 . 6 1 4 2 1 00 2 .7747E-01 1 .7045E 00 5 .0845E-01 1.7614E 00 1 .0421E-01 I . 0 0 0 3 E 00 9.b159E-01

1.5508E 00 6 . 0 1 b l E - 0 2 1.6220E 00 1 .1657E-01 1.72178 30 2 .b895E-01 1.78bbE 00 4.3218E-01 I . 8 3 2 4 E 00 5 .82956-01

1 .9038E 00 8 .814bE-01 1 . 9 4 4 8 E 00 1.089RE 00 1 .9901E 00 1 .35158 00 2.0145E 00 1 .5067E 00 2.0402E 00 1.6809E 00

2.061aE 00 1 .8355E 00 2.0730E 00 1.9184E 00 2.0787E 00 1 .9613E 00 2.0844E 00 2 . 0 0 5 2 E 00 2 .0873E 00 2 . 0 2 7 5 1 00

2.0902E 00 2 .0501E G O 2 . 0 9 l b E 00 2 .Db lLE 00 2.0925C 00 2.0683E 00 2.0437E 00 2.0775E 00 2.0943E 00 2.0821E 00

1.5517E 00 2.5697E-02 1 .6245E 00 5.1308E-02 I . 7 2 6 0 E 00 I .4007E-01 1.7938% 00 2 .5802E-01 1.8425E 00 3 . 8 2 7 6 1 - 0 1

1 1 8 5 9 1 8 00 l . 1 3 4 8 E 00 1.8918E 00 1 . 3 0 5 l E 00 1 . 9 2 7 l E 00 1.5U4bE 00 1.9458E 00 1 . b i b O E 00 1.9652E 00 1 .7363E 00

1.92OOE 00 b.6471E-03 1.9654E 00 8.8410E-01 2.0165E 00 1.18LOE 00 2.0445E DO 1.3b90E 00 2.0743E 00 1.5H73E 00

1.9297E 00 3 .b593E-01 1.9791E 00 5 . 6 3 8 4 1 - 0 1 2.0359E 00 8.7797E-01 2 .06178 00 1.0992E 00 2.1OZOE 00 1 .3787E 00

2.131bE 00 1165481 00 2.1+71E 00 I . 8 1 3 b E 00 2.1551E 00 1.8988E 00 2.1632E 00 1.9081E 00 2.1674E 00 2.0344E 00

?.1715E 00 2.0818E 00 7 3 b E 00 2.10

1 . 9 8 1 4 ~ c o 1 . 8 3 9 5 1 00 1.989bE 10 1 . 8 9 3 4 1 00 1.9930E 00 1.9211E 00 1 .99808 00 1 .9491E 00 2.0001E 00 1.9633E 00

2.0995E 00 1.7880E 00 2.112hE 00 1.898LE 00 2 .1193E 00 1 . 9 5 5 8 1 00 2.1261E 00 2.0153E 00 2.1295E 00 2.04>7E 00

2.1330E 00 2.076bE 00 2.1347E 00 2.0923E 00 2.1358E 00 2.1017E 00 2.1312E 00 2 . 1 1 4 4 E 00 2 .1379E 00 2 .1207€ 00

2.1389E 00 i . 1 3 0 3 E 00 2.13Y3E 00 2.1335E 00 2.1394E 00 i . 1 3 5 1 E 00 2 .1395E 00 2.1361E 00 2.1396E 00 2 .13h lE 00

2 .0022E 00 1 .9716E 00 2 .0033E 00 1,9849E 00 2 .0039E 00 1 . 9 8 9 l E 00 2.0048E 00 1.99G’iE 00 2.OOSZE 00 1 . 9 9 l d E 00

2 .0059E 00 2.OO;iE 00 2.1061E 00 2.OOJ4E 00 2 .00h2E 00 2 . 0 0 4 3 f 00 2.00b3E 30 2 .0048E OC 2.0063E 30 2 . 0 0 5 1 E 00

2 .00a3E 00 2 .0053E 00 2.0063E 00 2 .0054E 00 2.COb4E 00 2.OC55E 00 2 .0064E 00 2.005bE 00 2.0065E 00 2.OOb5E 00

2.0952E 00 7 . O R 9 1 E 00 2.C955E

2.17H7E 00 2 .1h49E 00 ~~ ...~ .. ~~

00 2.0914E 00 2.0956E 00 2.0926E 00 2.G357€ 00 2.0933E 00

~~ ... ~

2.1791E 00 2.1699E 00 i . 1 7 9 3 E 00 2.1724E 00 2.1794E 00 2 .1139E 00 2.1195E 00 2.1149E 00

2 . 0 9 5 8 t 00 2 . C 9 4 l E 00 2.1397E 00 2.1372E 00 2.179hE 00 2.115bE 00 2 . 0 9 5 8 t 00 2 . 0 9 4 3 E 0 0 2 .0958E 00 2 .0945E 0 0 2.0959C 00 2.0947E 00

2.;391E 00 2.1315E 00 2.1391E 00 2 .1378E 00 2 . 1 3 9 7 ~ 00 2 . 1 3 8 0 ~ 00

2.179bE 00 2.17bZE 0 0 2.179bE 00 2.1766E OC 2.1797E 00 2.1769E 00

2.C9bOE 00 2.0960E 00 2.1400E 00 2 .1400F 00 2.179VE 00 2.1799E 00

T A U = 20.00

x Y

TAU i 25.00

x Y

T4U = 30.00

X Y

1.0594E 00 2 .28461-05 L.LOO8E 00 4.7120E-05 1.16bhE 00 1 .0200E-04 1.i;OOE 00 l . b l 3 2 E - 0 4

1 . 0 1 5 a ~ 00 4 . 4 1 1 4 ~ - 0 6

r 4 u = 4 0 . 0 0

X Y 1.0159E 00 2 . 2 b b I E - 0 6 1.0594E 00 1 .1843E-05 1.1008E 00 2 .4bR lE-05 1 . l bobE 30 5.2607E-05 1.2LOGE 00 8 .2990E-05

l . O l > b E 00 1 .1474E-05 1.0594E 30 b . O l i 8 E - 0 5 1.1008E 00 1 .2571E-04 l . l b 6 6 E 00 2 .h978E-04

l . C l 5 8 E 00 b.7290E-Ob 1 .C594E 09 3 .5221E-05 1 . lOO8E 01 7 .35506-05 1 . l b h b E 00 1.5743C-04 1.2200E 00 2 .4941E-04 1.22OOE 00 4 . 2 b t l E - 0 4

1 .2b55E 03 b.OOb0E-04 1 . 3 0 5 3 t 00 1.84HbE-04 1 . 3 4 0 8 E 00 9 .8C87E-04 1.4011E 00 1 .4074E-03 1.4528E 00 1 .8801E-03

1 .2b55E 00 3 .4967E-04 1 . 3 0 5 3 E 00 4.5397E-OG 1 . 3 4 0 R t 00 5 .h552E-04 1.4018L 00 8 .0579E-04 1 .4528E 00 1 .0b83E-03

1 . 2 6 5 5 E 00 2.2*97E-O* 1 . 3 0 5 3 E 00 2 .9252E-04 1 .3408E 00 3.03h5E-04 1.4018E 00 5.:591E-04 1.452VE 00 b.lJO7lE-04

1.552OE 00 l . l ’+S8E-03 1.b252E 00 1.b93hE-03 l . 7 2 1 8 E 00 3 .2470E-03 1.797bE 00 6 . 5 9 6 2 € - 0 3 1 .8487E 00 1.39VOE-02

1.9328E 00 5.9106E-02

2.0456E 00 3 .3980E-01 2.0807E 00 5 .3099E-01 2.1196E 00 8 .5954E-01

1 . 9 8 4 6 ~ 00 1 . 3 n 3 7 ~ - 0 1

1 .2655E 00 1 .1544E-04 1.3053E 00 1.4971E-04 1.3408E 00 1 .8563E-04 1.4Oi8E 00 2 .6191E-04 1.4529E 00 3 .4357E-04

1.552OE 00 3 . 3 C l 2 f - 0 3 :.6252E 00 5 . 2 7 i 3 E - O J 1 .7278E 00 1 . 3 7 C 4 f - 0 2 1.7915E 00 3.3749E-02 1.8485E 03 5 . 7 9 b l E - 0 2

1.5520E 00 5 .6890E-04 1 . 6 2 5 2 ~ 00 n . z 3 2 3 ~ - 0 4 1 . 7 2 7 s ~ 00 i . 4 3 4 3 ~ - 0 3 1 .7976E 00 2 .34OlE-03 1.8488E 00 4 .1209E-03

I . 9 3 i O E 00 1 .9814E-01 1 .9828E 00 3 .5412E-01 2.0421E O U 6 .4272E-91 2.0756E 00 8 .7052E-01 2.1123E 00 1.1625E 00

2.1643E 00 1 .5135E OC 2.1613E 00 1 .113JE 00 2.1101E 00 1.823OE 00 2.1790E 00 1.94GOE 00 z . i a 3 5 ~ 00 Z.OO:~E 00

2.1506E 00 1.3783E 00 2 . l b 8 5 E 00 1.611RE 00 2 .1118E 00 1.7433E 00 2.1873C 00 1 . 8 8 5 l E 00 2.1921E 00 1 .96131 00

2.1541E 00 1.2526E 00 2.1727E 00 1.5135E 00 2.1824E 00 1.6bJ9E 00 2.1923E 00 1 . 8 i 9 6 E 00 2.1973E 00 1.V186E 00

2.1881E 00 2.0b46E 00 2.1904E 00 2.0971E 00 2.1918E 00 2.1168E 00 2.1931E 00 2.1433E 00 2.194bE 00 2 .15678 00

2.1960E 00 2 . 1 7 7 0 1 00

2.1Q-OE 00 2.0399E 00 2.2024E 00 2.OlLOE 00 2 . i 0 5 0 E 00 2.ObO4E 00 2 . i 0 6 6 E 00 2.0901E 00 2 .20871 00 2.1302E 00 2.2097E 00 2.1506E 00

2.208bE 0 0 1 .9528E 00 ... ~ ... ~

2.19Y5E 00 2.0804E 00 2.POlOF g 0 2 .1051E 00 2 .2030E 00 2.138bE 00

5.iiiii 00 2.0ibiE 00 2.2130E 00 2.0554E 00 2.2152E 00 2.1088E 00

2.2040t 00 2 . 1 5 5 5 E 00

2.2055E 00 2.1811E 00

2.2164E 00 2.1360E 00

2.2113E 00 2.1815E 00 2.2118E 00 2.1919E 00 2.2121E 00 2 . 1 9 7 l E 00 2.2122E 00 2 .2003E 00 2.2124E 00 2.2OL4E 00

2.2124E 00 2.2G39E 00 2.2125E 00 2.ZL50E 00 2.2125E 00 2.2059E 00 2.2126E 00 2.ZObbE 00 2 .2129E 00 2 . 2 i 2 9 E 00

2.21eOE 00 2.1175E 00 Z . i l t l b E 00 2 .19151 00 2.21098 00 2.1985E 00 2.2191E 00 2.2027E 00 2.2192E 00 2.205hE 00

?.2193E 00 2 .20761 00 2.2193E 00 2.2091E 00 2 .21941 00 2.2103E 00 2.2194E 00 2.2112E 00 L.2197E 00 2.2197E 00

2.1965E 00 2 .1839E 0 0 2.1967E 00 2.1812E 00 2.1969E 00 2.1892E 00

2.2060E 00 2 .1897E 00 2.2C62E 00 2.194OE 00 2. iOb4E 00 2.19bhE 00 2.2065E 00 2.1987E 00

2.1971E 00 2.191bE 00

2 .1971L 00 2.1V29E 00 2.1372E 30 2 .1933E 00 2 .19 ISF 00 2.1975E 00

2 . 1 9 7 1 ~ no 2 . 1 9 2 3 ~ 00

TAU - 75.00

X Y 1.0158E 00 6 .8138E-07 1 .0594E 00 3.5563E-Ob 1.1008E 00 7.3996E-Ob 1.1666E 00 1 1 5 7 2 1 8 - 0 5 1.22OOE 00 2 .4719E-05

1 .2655E 00 3 1 4 2 6 9 1 - 0 5 1.3053E 00 4 .4290E-05

TAU = 100.0

x Y I . 0 1 5 8 E 00 3.9451E-07 1 .059kE 00 2.0b39E-Ob 1.IOO8E 00 4 . 2 9 i b E - 0 6 1.1666E 00 P . l l b 8 E - 0 6 1.2200E 00 1 .43508-05

1.2655E 00 1 .98b lE -05 1 .3053E 00 2.5b62E-05 1 .3408E 00 3 .1697E-05 1 .4018E 00 4 .4374E-05 1 .4529E 00 5.7735E-05

TAU = 200.0

i V 1.0158E 00 4 .9203E-08

OWEG4 - 0.80 T4U = 50.00

2 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 U.80 1.00

1.50 2.00 3.00 4.00 5.00

7.5C 10.00 15.00 20.00 30.00

50.00 75.00

100.G0 150 .00 200.00

300.00 400.60 500.00 750.00

1000 .00

2000.O@ 3000.00 40C0.00 5000 .00 6000.00

7000.00 8000.00 9000.00

10000.00 I N F

X Y 1.0158E 00 1 .4013E-06 1 .0594E 00 7.4369E-06 1.1008E 00 1.5459E-05 l . l b 6 6 E 00 3.2878E-05

1.0594E 00 2 .6678E-07 I .1008E 00 5 .3160E-07 l . l b 6 6 E 00 1 .1710E-06

i . 2 2 0 0 E 00 5.1772E-05 1.2200E 00 1 .8268E-06

1.2655E 00 7 .1890E-05 1.3053E 00 9 .3071E-05

1.2655E 00 2.5435E-Ob 1.3053E 00 3 .2974E-06 1.3408E 00 4.0137E-06 1.4018E 00 5.6779E-Ob 1.4529E 00 7 .4163E-06

1.3408E 00 1.152OE-04 1.4018E 00 1.6195E-04 1 .4529E 00 2 .1165E-04

1.5521E 00 3 .4695E-04 1.625ZE 00 4.9636E-04 1 .7278E 00 8 .36bbE-04 1 .7976E 00 1 . 2 5 3 l E - 0 3 1 .8488E 00 1 .8629E-03

1.9330E 00 6 .7013E-03 1 .9849E 00 2 .2202E-02 2.0466E 00 9 .4438E-02

1.3408E 00 5 .4723E-05 1.4018E 00 7 .66538-05 1 .4529E 00 9 .9796E-05

1 .5521E 00 1 .6192E-04 l . 6 2 5 2 E 00 2 .2898E-04 1.7278E 00 3 .7514E-04 1 .7976E 00 5 .3588E-04 1 . 8 4 8 8 6 00 7 .1277E-04

1.Y330E 00 1 .3622E-03 1 .9849E 00 3 .3396E-03 2.0468E 00 2.OOOOE-02 2 .08286 00 6 .1119E-02 2.123bE 00 1 .9814E-01

1 .5521E 00 9 .3518E-05 I . 6 2 5 2 E 00 1 .3200E-04 1.7278E 00 2.1526E-04 1.7976E 00 3.0557E-04 1 .8488E 00 4.0236E-04

1.5521E 00 1 . 1 9 3 8 1 - 0 5 1 .625 iE 00 1 .8246E-05 1.7278E 00 2 .74251-05 1.7976E 00 3 .8bb9E-05 1.8488E 00 5.1125E-05

1.933OE GO 8 .5119E-05 1.9849E 00 1.2399E-04 2.0468E 00 2 .2456E-04 2.0829E 00 4 .6053E-04 2.1239E 00 3 .7310E-03

2.0825E 00 2 .0410E-01 2 .1229E 00 4 .483bE-01

2.1594E 00 8 .4795E-01 2.1616E 00 3 .1648E-01 2 .18271 00 6 .0527E-01 2 . > 9 4 0 k 00 8 .3804E-01

2.1610E 00 5 .182bE-01 2 .18181 00 8 .4143E-01 2.1928E 00 1 .0729E 0 0 2.2043E 00 1 .3686E 00 2.2102E 00 1 .5459E 0 0

2.1793E 00 1 . 1 6 8 i E 00 2.1898E 00 1 . 3 7 i d E O @ 2.2007E 00 l . 6 l l l E 00

~ ~ ~~ ~~

2 . 2059E 00 1.1b11E 00 2 .2121E 00 1.3b69E 00

2.2185E 00 1.b094E 00

2.2063E 00 l . 7 4 6 1 E 00

2.212OE 00 1 .892bE 00 2.2148E 00 1.9704E 00

2.2163E 00 1 .7463E 00 I .22G9E 00 I .1561E 00 2.2194E 00 :.85b1E 00 2.2213E 00 1 .9253E O C 2.2238E 00 2 .0216E 00 2.2251E 00 2 . 0 7 l b E 00

2.22L8E 30 l . 7 4 b 4 E 00 2.2237E 00 1 .8342E 00 2.2264E 00 1.9581E 00

2.2244E 00 1.3632E 00 2.22b6E 00 1.5049E 00 2. i295E 00 1 . 7 1 7 l E 00

2 .2166E 00 2.0186E 00 2.2189E 00 2.0847E 00 2.2ZOlE 00 2 .11661 00

2.2219E 00 2.1705E 00 2.2225E 00 2.188LE 00 2.2228E 00 2.1969E 00 2 .2229E 00 2.2OiZE 00 2 .2231E 00 2 .2058E 00

Z . Z i 3 l E 00 2.2083E 00 2.2232E 00 2 .2102E 00 2.2233C 00 2 . 2 l l l E 00 2.2233E 00 2 .2129E 00 2.2236E 00 2.2236E G O

2.2278E 00 2.0232E 00

2.2298E 00 2 . i 2 5 0 E 00 2.2305E 00 2. lbOOE GO

2.2310E 00 1.8341E 00

2.2270E 00 2.1488E 00 2.2277E 00 2 .1752E 00

2.2332E 00 2.0249E O C 2.234OE 00 2 . 0 9 2 8 L 00

2.2280E 00 2.1885E 00 2.2282E OG 2 .196bE 00 2 .2283E 00 2 . 2 0 1 9 E 00

2.2284E 00 2.2058E 00 2.2285E 00 2 . 2 0 8 7 E 00 2 . 2 2 8 5 t 00 2.2109E 0 0 2.2286E 00 2.2127E 0 0 2.2290E 00 2 .2290E 00

2.2308E 00 2.1778E 00 2 .2310L 00 2.1885E 00 2.2312E 00 2.1956E 00

2 .2313E 00 2.iOO8E 00 2.2313E 00 2.204bE 00 2.2314E 00 2.207bE 00 2.2314E 00 2 . 2 I O l E 00 2 .2318E 00 2.2318E 00

2.2344E 00 2 . I 2 7 6 E 00 2.234bE 00 2.1488E 00 2.2348E 00 2.163OE 0 0

2 .2349E 00 2.1732E 00 2.2350E 00 2 .1809E 00 2.2350E 00 2.18bYE 00 2.2351E 00 2.1917E 00 2.2355E 00 2 .2355E 00

TAU =

X I . 0 1 5 8 E 00

261.4

Y 1 .4271E-08

2 0.01 0.05 0.10 0.20 0.30

1.0594E 00 1.1008E 00 1.1bbbE OC

b .9193E-08 I . 4 5 1 6 E - 0 7 3.0923E-07

1.22ooe 00

0.40 0.50

1.2655E 00 1.3053E 00

b .7449E-07 8 .7166E-07 1.076RE-Ob 1.5076E-Ob 1 . 9 b l b E - O b

0. bO 0.80 1.00

1.50 2.00 3.00 4.GO 5.00

7.50 10.00 15.00

1 .3408E 00 1 .4018E 00 1 .45291 00

1 .5521E 00 1.b252E 00 1.7278E 00 1 .7976E 00 1.8488E 00

1.9330E 00 1.9849E 00 2.0468E 00 2.0829E 00 2.1239E 00

2.1619E 00 2.1834E 00 2.1951E 00 2.2076E 00 Z r 2 1 4 2 E 00

2.2211E 00 2 .2246E 00 2.2268E 00 2.229nE 00 2.2313E 00

2 .2336E 00 2.1344E 00 2.2348E 00 2.2350E 00 2.2351E 00

Z.2353E 00 2.2353E 00 2.235'E 30 2.2355E 00 2.2359E 00

3.1771E-06 4 1 4 8 3 7 E - 0 6 7 .30731-06 1 .03641-35 1 .36281-05

2.2671E-05 3 .3047E-05 5 .8754E-05 9.7876E-05 5.5871E-04

20.00 30.00

50.00 75.00

100.00 1 5 0 . 0 0

1 .2296F-02 6 .8674E-02 1 .6313E-01 3.8977E-0: 6 . 0 2 9 2 1 - 0 1

9 .3299E-01 1.1b07E 00

200.00

300.00 400.00 500 .00 750 .00

1000.00

2000 .00 3000.00 4000.00

1 .3233E 00 1 . 5 7 6 i E 00 1.72COE 00

1 .9b11E 00

2.0940E 00 2 . 1 2 l b E 00 2.1403E 00

2 . 0 4 ~ 7 ~ 00

5000 .00 bGOO.GO

7000 .00 8000.00 9000.00 10000.00

INF

68

T4U = 0.100

X Y 1 .0163E 00 7 .9157E-03

T4U = 0.200

X Y l . O l b 7 E 00 6 .L732E-03 1.0603E 00 5.27b3E-02 1.0934E 00 2 .0L87E-01 1.1260E 00 4 .7427E-51 1 .1415E 09 6 . 3 9 6 5 8 - 0 1

1.1504E 00 7 .4455E-01

TAU = 0.300 OMEGA - 0.90

TAU * 0.050

2 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

x Y 1.0158E 00 1 .6842E-02 1.0424E 00 4 .0551E-01 1.0513E 00 b . 5 4 7 8 E - 0 1 1.0568E 00 8 .3381C-01 1.0508E 00 9 .0412E-01

1 .05998 00 9 .4147E-01 1.0605E 00 9 .6463E-01 l.Ob1OE 00 9 .8039E-01

r .0170E 00 5 .0778E-03 1.0624E DO 3 .1021E-02 1.1015E 00 1 .1122E-01 1 . i 475E 00 3 .3519E-01 1 . 1 7 ~ 2 E 00 5 .1073E-01

1 .0538E 00 1 .7598E-01 1 .0734E 00 4 .3125E-01 1 .0881E 00 6 . 8 8 2 8 E - 0 1 1 .0940E 00 8 .059bE-01

1 .0972E 00 8 .7242E-01 1 .0992E 00 9 .1498E-01 1.1005E 00 9 .4455E-01

1.1072E 00 b.3C99E-0: 1 .1561E 00 8 .?610€-01 1.1602E 00 8 .6780E-01 1.1655E 00 9 .3731E-01

i . i Y 7 i E 50 7.i50bE-OI 1.2C46E 00 7 .9269E-01 1.2143E 00 B.Eb88E-01 1.0615E 00 1.0005E 00

1 .0618E 00 1.0127E 00 1.1688F 00 9.817VE-01 ~. ~.

1.2204E 00 9 .4907E-01

1 .06231 00 L.G293E 00 1.0625E 00 1.037bE 00 1.0628E 00 1 .0461E 00 1.0629E 00 1.0504E 00 1.0629E 00 1.0529E 00

1.0630E 00 1 .0563E 00 1 . 0 6 3 l E 00 1 .0580E 00 l .Ob31E 00 1 .059HL 00 1.0631E 00 1 .0606E 00 I .Ob32E 00 1 . 0 6 1 5 f 00

1.0632E 00 1.Ob22E 00 1.0632E 00 1.C625E 00 l .Ob32E 00 l .Ob27E CO 1.0632E 00 l . O b i 9 E 00 1.0632E 00 1 .0630E 00

1 .1048E 00 1 .0393E 00 1 .1055E 00 1 .0560E 00 1 . 1 0 6 3 E 00 1 .0730E 00 1 .1067E 00 I . 0 8 1 6 E 00 1 .1069E 00 1 .0868E 00

1 .1072E 00 1 .09378 00 1 .1073E 00 1 .0972E 00 1 .1075E 00 1.1007E 00 1 .1076E 00 1 .1025E 00 1 . l O l b E 00 1 .1043E 00

1.1733E 00 1.OkkbE 00 1.1757E 00 1.0775E 00 1 .1781E 00 L . l l 1 b E 00 1.1793E 00 l.:L90E 00 1.18OOE 00 1.139bE 00

1.2291E 00 1.0393E 00 l . i ? j b E 00 1 .0877E 00 l . 2 3 8 2 E 00 1 . 1 3 8 b t 00 1.2406E 00 l . l b 5 0 E 00 l . 2 4 2 1 E 00 l . 1 8 1 1 E 00

7.50 10.00 15.00 20.00 30.00

l . 1 8 l O E 00 1 .1539E 00 1.1815E 00 1 . l b l l E 00 I .182OE 00 1.!684E 00

l . 1 8 2 5 L 00 1 . i757E 00

1 .1827 f 00 1 . ~ 7 8 6 E 00 1 . 1 8 2 8 f 00 1 .18OlE 00 L.1829E 00 1 . l i lO8F 00 1.1829E 00 1.18.bE 00 I . l d 3 O E 00 1.18:9E 00

i . i a 2 3 ~ oo 1 . 1 7 i o f oo

1 . 1 8 3 0 ~ 00 i . i a a f 00 1.183OE 00 1 . 1 0 ~ 5 E 00 l . .b30E SU 1.1826E 00 1 .1830L 00 1.1827E 00 l . 1 8 3 0 E O D l . l d i 8 E 00

l.244OE 00 1 .2030E 00 1.2*5(1E 00 1.2140E 00 1.2460E 00 1.2253E OC l . 2405E 00 l . 2 3 0 9 E 00 l . 2 4 7 0 E 00 1.236bE 00

1.2674E 00 1 .241 IE '30 1.2476E 00 1.2434E 00 1.2477E 00 1.2445E 00 1.2471E 00 1.2457E 00 1.2118E UO 1 . 2 4 5 3 t 00

1.247YE 00 1.24bBE 00 1.2479E 00 1 . i L 7 l E 00 1.247YE 30 1.2473E 00 1.2479E 50 1.2475E 00 1.24tCF d 0 1 .247bE 00

1.246CF J O 1 . ~ 4 7 a E I C 1.2-6GE 50 l . 2 4 7 9 t 3C 1.2'1BCE 00 1 .2479L 00 1.24bCC JG 1.2479E 00 1.2480E 00 1 .2479E 06

1.24MCE 00 1.2419E 00 1.24dOE 00 1 .2479E 00 1.248OE 0 0 1.2L19E 00 1.248OE 00 1.2479E 00 1.2L18CE 00 1 . 2 4 8 0 € OC

l . l O 7 7 E 00 1 .1057E 00 1.1077E 00 1 . l O t L E 00 1 .1077E 00 l . l O b 7 E 00 1 .1078E 00 1.107:E 00 1 .1078E 00 1 .1073E 00 2 0 0 . 0 0

300.00 1.0632E 00 1 .0630E 00 l .Ob32E 00 1 .0631E 00 1.0632E 00 1.0631E 00 1.0632E 00 1 .0631E 00 1.Ob32E 00 1.Ob32E 00

1.0632E 00 1 .06?2E 00

l . :078E 00 1 .1074E 00 1.1078E 00 1 .1075E 00

1.107r lL 00 1 .1077E 00 1.1078E 00 l . l O 7 7 E 00

i . i o 7 n L 00 1 . 1 0 7 6 ~ 00 400.00 500.00 750.00

1000.00

2 0 c 0 . 0 0 3000.00 4000.00 5000 .00 6 O O O . C O

~000.00 80c0.00 9000.00

1.183OE 00 1.1J29F 00 1.183OE UO l . : l l O E 00 1.1830E 00 1.283OE 00 1 . i83OE 00 1 . lbJOF 00 1..83OE 00 1.:83OE 00

l .Ob32E CO 1.0632C 00 1.Ob32E 00 l .Ob?ZE 00 l .Ob32E 10 1 . 0 6 ? 2 € 00 1 .0632E 00 1.0632E 00

1.0632E 00 l .Ob32E 00 1 .1830E do 1.1830E 00 L.:~~oc 00 L.IR~OE 00 i . i n 3 0 i 00 i . i 8 3 0 ~ OJ 1.183UE 30 1.163OE 00 L . 1 8 3 0 E I O 1.183OE 00

1.0632E 00 L.Pb32E 00 1.0632E 00 1 .0632E 00 1.0632E C O 1.0652E 00 1 0 0 c 0 . 0 0

I N F 1.0632E 00 1.C632E 00 1 .1078E 00 1 . 1 0 7 8 t 00

T4U = 0.400 ThU = 0 . 5 0 0 T A U = 0 . 6 0 I

x Y

TAU = 0.800

X Y l . O i l 7 f 00 3 . 0 1 3 7 t - 0 3

1 0.01 0.05 0 .10 0 . 2 0 0.30

0.40 0.50 0.60 0.80 1.00

1.50 2 .00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00

x Y l .OL76C 00 3 .9487E-03 1 .0646E 00 2 . i l l 2 E - 0 2 1.1082E 00 5 1 4 8 4 7 E - 0 2

1 .0172E 00 4 .4255E-03 l .Ob37E 00 2 .4852E-02 1.1056E 00 7.;5b.)E-02 1 . l b O l E 00 1 . 4 4 7 d E - 0 1 l . l P 3 3 E 00 4 .1197E-01

1.21G3E CO 5 .4318E-01 1.228BE 00 b14400E-O? 1.2394E 00 7 .2258E-01 1.2538E 00 3.35.5E-01 1.2632E 00 9 . 1 2 9 3 F - 0 1

1.27b5f o o i . 0 2 7 a ~ 00 1.2836E 10 l . 0 9 1 0 E 00 1.2909E 00 1 .15dJE 00 1 .2941E 00 1.193bF 00 1 .2970E 00 1 .2154E 00

l . O l 7 5 E 00 3.5753E-03 1 .0654E 00 1.950dE-02 1 .1100E 30 4 .5593E-02

I.Obe5E 00 1.6327E-J2 l . l i 2 b E 00 3 .53bbE-02 1.1832E SO 1 .007*E-01

~~

1 .175*E 00 1 .4611C-01 1.2196E 00 2 .7b77E-01 1.2348E 00 1.9987E-0.

1.2733E 00 3 .0795E-01 1 . 2 3 4 7 f 00 G.6b92E-01 1 .2535E O J 5 .7285E-01 1.2674E OJ 6 .584bE-01 1 .2867E 00 7 . 8 6 0 6 E - 0 1 1 . 2 9 9 5 t 00 9 .7551E-01

1.25ObE 00 4.OJ15L-01 1 .2733E 00 j.:uBOE-Ol 1 . 2 9 0 4 i 00 b.OO~8F-OL 1 . 3 1 4 6 E 00 7 .3b34F-01 1 . 5 3 G B E 00 8 .3790€-01

L .354bL 30 Y.9437E-01

1.3813E GO l . i U 3 2 E 00 1.3~185E 00 1.23b3E 00 1.372YE 00 1 .2 t93E 00

1 .39d9E 00 1.3149E 00 1.4019E 00 1.3383E 00 1.4050C 00 1.3622E 00 l . 4 0 b b E 00 1 .374JE 00

1 . 3 6 7 6 ~ 0 0 1 . 0 ~ 4 3 ~ 00

1 . 4 0 8 2 ~ OJ 1 . 3 8 6 5 ~ 00

1.4094E 30 1.3Y64E 00 1 . 4 l O l E 00 1 .4014 f 00 1.4104E 00 l . sO38E J O l .G lO7E CO i . 4 0 6 3 E 00 1.4109E 00 i .LO7bE 00

L.302bE 00 L . 0 9 9 0 E - 0 1 :.3256E 00 5 4 0 0 9 9 E - 0 1 1 .3590E 00 b . 5 0 3 8 E - 0 1 1 .38 rbE 00 7 .b439E-01

1 .3179E 00 1 . 0 1 2 4 E 00 1 . 5 2 7 8 L 00 1.G895E 00 1 . 3 3 8 3 E 00 1.172eE 00 1.3437E 00 1 .2170E 00 1 .3470E 00 1 .2444E 00

1 .3514E 00 1 . i 8 1 9 E 00 1.3537E 00 1 .3012E 00 1 .3560E 00 1 .3207E 00 1 .3572E 00 1 .3306E 00 1 .3583E 00 1 .3405E 00

:.416YE 00 9 . 5 3 0 l E - 0 1 1.4363E 00 1.0663E 00 1.4573f 00 1.1945E 00 I . *bt l4E 00 1.2649E 00 1.L753E 00 1.3093E JO

1.4847E 00 1.3711E 00 1.4895E 00 1 .4032E 00 i . 49 r t4E 00 1 . 4 3 b l E OC 1.4969E 00 I . 4 5 2 9 C 00 1 .4994E 3 0 1.4698E 00

1.5014C 00 l . 4 8 3 6 E OC 1.5ULGE 00 I . 4905E 00 1.5OZYE 00 1.C940E 00 1.5C34E 00 1.4974E 00 1.50378 00 1.49926 00

1 .3002E 00 1 .2450E I O 1.3018E 00 1.26CLE 00 1.3033E 00 1 .2754E 00 1.3042E 00 1.283:€ 00

1.3056E 00 1 .2971E 00 1.3593E 00 1 .3486E 00 1.3598C 00 1 .3526E 00 75.00

100 .00 150 .00

1.3059E 00 1 . 3 0 0 1 f 00 1 .3061E 00 1.3018E 00 1.30b3E 00 1.3034E 00

1.3600E 09 1 .3546E 00 1.3b02E 00 1 . 3 5 6 t E 00 1.3603C 00 1 .357bE 00 200 .00 1.3063E 00 1.3042E 00

1.3064C 00 1 .3050E 00 1.3065E 00 1 .3054E 00 1.3065E 00 1.3056E 00 1 - 3 0 6 5 E 00 1 .3059E 00 1.3065E 00 1 .3Ob lE 00

300.00 400.00 500 .00 750.00 1000.00

2000 .00 3000.00 4000.00 5000 .00 6000.00

7000 .00 8OCO.00 9000 .00

100CO.00 INF

: . 4 i i o ~ 00 i . a a 8 ~ 00 1 .4111E 00 1 . + 0 ~ 5 E 00 1 . 4 L I I E 00 1 . 4 ~ 9 8 E 00 1.4112E 00 1 .4 r03E 00 1.4112E 00 1 .4 iObE 00

1.11113E 00 1 . 4 l l O E 00

;.5039E 00 1 .5009E 00 1.5Y4OE 00 1 . 5 0 1 8 t 00 1 . 5 0 4 l E 00 1.5023E 00 1.50426 0 0 1 .5030E 00 1.50*3E 00 1.5034E 00

1.3606E 00 1 . 3 5 1 5 E 00 1.3606E 03 1 .3599E 00 1 . 3 b O b E 0 0 1 .3601E 00

1 . 3 0 6 6 8 00 l r 3 0 6 3 E 00 1.30bbE 00 1.3064E 00 1.3066E CO 1.3065E 00 1.3066E 00 1.3065E 00 1.30bbE 00 1 .3065E 00

1 .3066E 00 1 .3065E 00 1.3066E 00 1.3065E 00 1 .30661 00 1 .3065 f 00 1.30bbE 00 1 . 3 0 b i E 00 1.3066E 00 1.3ObbE 00

1 . 3 6 0 7 1 00 l . 3 6 0 4 E 0 0 1.5043E 00 1.5039E 00 1.5044E 00 1,5041E 00

1.5044E 00 I . 5042E 00 1.5Lk4E 00 1 .5062E 00

1.5044E 00 1 . 5 0 4 3 f 00

1.50*4E 00 1.5042E 00 1 .3607E 00 1 .3605E 00 1 - 3 6 0 7 E 00 1.3605E 00 1.3607E 00 1.3bObE 00 1 .3607E 00 1.3bObE 00

1.4113E 00 1.4111E 00 1.4113E 00 ;.4111E 00 1.G113E 00 1.411PE 00 1.4113E 00 l . 4112E 00

1 .3601E 0 0 1 .360bE 00 1 .3607E 00 1 .3606E 00 1 .3607E 00 1 .360bE 00 1 .3507E 00 1.3606E 00 1 .3bOlE 00 1.3607E 00

1.4113E 00 1.4112E 00 1.4113E 00 i.4:12E 00 1.4113E 00 1.4112E 00 1 .4113E 00 1 .41136 00 1.4113E 00 1.4113E 00

1.50114~ oo i.5orIE 00 1.5044E 0 0 1.5043E 00 1.5044E 00 1.5043E 00 1.5044E 00 1.5044E 00

p

TAU = 1.500 TAU = 2.060 TAU = 2.500 OMEGA - 0.90

TAU = 1.000

2 0.01 0 .05 0.10 0.20 0.30

0.40 0 . 5 0 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 2 0 . 0 0 30.00

50.00 75.00

100.00 150.00 200.00

300.00 400.00 500.00 7 5 0 . 0 0 1000.00

2000 .00 3000.00 L000.00 5000.00 6000.00

7000.00 8000.00 9000.00 10000.00

I N F

X V 1.0179E 00 2.602bE-03 1.0673E 00 I . kO45E-02 l . 1 I k k E 00 3.0573E-02 l.18BOE 00 7.7502E-02 1 .2443E 00 1 .5164E-01

X I I . 0 1 8 3 E OJ I . 4 b b 9 E - 0 3 1 .0694E 00 7.9612E-03 I.lI88E 00 !.7088E-O2 1 .1985E 00 3.67bOE-02 L.2637E 00 6.6393E-02

l . 0 1 8 1 E 00 1.9180E-03 1.0687E 00 1 .0297E-02 1.1172E 00 2.2190E-02 1.1948E 00 5.1359E-02 1 .2572E 00 9 .238bE-02

1.3089E 00 1.47bOE-01 l . 3 5 2 2 E 00 2.1272E-01 1.3887E 00 2 .8227E-01

l . 2 8 8 2 E 00 2 .4150E-01 1.3228E 00 3 .3353E-01 1 .3507E 00 4 .2089E-01 1 .3924E 00 5 .7281E-01

1.3191E 00 I . 0 2 b 2 E - 0 1 1 .3bb9E 00 1 .4775E-01 1.40848 00 1 .9968E-01 1.4765E 00 3.1341E-CL 1.529bE 00 4.277OE-01

1.3249E 00 7 .7347E-02 1.3752E 00 1 . 0 9 b l E - 0 1 l . 4197E 00 1 .4820E-01

1.4463E 00 4 .2004E-01 1.4895E 00 5 .4508E-01

1.5604E 00 7 .897LE-01

i . 4964E 00 2 .3875E-01 1.5544E 00 3 .37b3E-01 1 .4219E 00 b .9508E-01

1.467TE 00 9 .0768E-01 1 .6210E 00 b .7680E-01 1.5617E 00 5.751bE-0; I . 7319E 00 7 .7228E-01 I . 8173E 00 1.054bE OS I . 867CE 00 1 .2394E G O

1 .4939E 00 1.0409E 00 1.522bE 00 1 . 1 9 b l E 00 1.5380E 00 1.2832E 00

1.6031E 00 9 .5913E-01 1.6518E 00 l . 1 7 1 2 E 00 1.b787E 00 I . 2 9 6 b E 00

1.678bE 00 8 . b b ~ 3 E - 0 1 1 .7465E 60 i . 1 2 O l E 00 1 . 7 8 5 1 1 00 l . i 7 8 3 E 00

i i 5 4 7 6 E 00 i . 3 3 8 8 ~ 00

i . 5608E 00 1.4170E 00 1.5676E 00 1.4580E 00

1.6958E 00 1 .3791E 00

1.719bE 00 1 .4981E 00 1.7321E 00 1 .56181 00

1 . 8 0 9 9 ~ oo 1 . 3 a 5 2 ~ 00

1.8452E 00 1.5435E 00 1.8638E 00 1.6301E 00 1.8831E 00 1.7222E 00 1.8930E 00 1.7703E 00 L.9031E 00 1.8199E 00

1 .9113E 00 1.8bOBE 00 1 .9155E 00 1 .88 r5E 00

1.8995E 00 l . 3 b 7 9 L 00

1.94b2E 00 1.5630E 00 1.9711E 00 1.6720E 00 1.9972E 00 1.789bE OC 2.0107E 00 1 . 8 5 1 8 t 00 2.0245E 00 I . 9 1 6 3 E 00

1.5745E 00 1.5003E 00 1 .57818 00 1.5219E 00 1.581bE 00 1 .5439E 00

1.5845E 00 1 . 5 b l 7 E 00 1.5859E QO 1.5707E 00 1.5867E 00 1.5752E 00 1 .5874E 00 1.5797E 00 1.5877E 00 1.5820E 00

1.5881E 00 1 .5843E 00 1.5883E 00 1 .5854E 00 1.5884E 00 I . 5 1 b 1 E 00 1.5885E 00 1 .5870E 00 1.5886E 00 1.5875E 00

I . 5 8 8 7 E 00 1.5881E 00 1.5888E 00 1 .5884E 00 1.5888E 00 1 .5885E 00

1.7449E 00 1 . b 2 8 6 E 00 1 .7514E 00 1 .6631E 00 1.7580E 00 1.698LE 00

1 .7634E 00 1 .7273E 00 1 . 7 b b l E 00 1 .7419E 0 0 1.7675E 00 1.7493E 00 1 .7688E 00 i . 7 5 6 7 E 00 1 .7695E 00 1 .7604E 0 0

1.7702E 00 1 .7641E 00 1.7705E 00 1 . 7 6 b O E 00 1.7707E 00 1 . 7 6 7 1 E 00 1.77LOE 00 1 .768hE 00 1 .7711E 00 1 . 7 6 9 3 f O C

1.7714E 00 1 .7704E 00 1 .7714E 00 1 .7708E 0 0 1.7715E 00 1 .7710E 00 1 .7715E 00 1 .771LE 00 1 .7715E 00 1.7712E 00

2.0357E 00 I . 9b98E O C Z.OG14E 00 1.9971E 00

1.9175E CO i . 8 9 2 O E 00 1 .919bE 00 1 .902bE 00 1.9207E 00 1.9079E 00

1 .9217E 00 1.9132E 00 1.9223E 00 1.9158E 00 1 .922bE 00 1 . 9 i 7 4 E 00 1.9230E 00 1.919bE 00 1.9232E 00 1.920bE 00

1 .9235E 00 1 .92225 00 1 .923bE G O 1.9228E 00 I . 9 2 3 7 E 00 1 . 9 2 N E 00 1.9237E 00 1.9232E 00 1.9237E 00 1 .92J3E 00

2.0443E 00 2 .0109 i 00 2.0472E 00 2.0248E OC 2.0485E UO 2.0318E OC

2.0501E 00 2.038PE 00 I . 0 5 0 8 E 00 2.0424E 00 2.0512E 00 2.0445E UC 2.0518E 00 2.0473E 00 2 . 3 5 i l E 00 2 .0487E 00

2 . 0 5 i h E 00 2.0509E 00 2 . 0 5 i 7 E 00 2 .0516E 00 2.052BE 00 2.0519C 00 2.0528E 00 2.0521E 00 2 . 0 5 i s E 00 2.05231: 00

. . . ~ ~ ~ ~ . ~

1 .5888E 00 1.58Bbf 00 1.5888E 00 1.5886E 00

1.5888E 00 1 .588bE 00 1.7715E 00 1 .7712E 00 1.9238E 00 1.9234E 00 1.9238E 30 1 . 9 i J 5 E 00 1.923e.E 00 1.9235E 00 1 .9238F 00 1.9235E 00

2.0529E 00 2.0524E 00 1.5888E 00 1.5881E 00 1.5888E 00 1.5887E 00 1 . 5 8 8 B E 00 1 .5887E 00

1 .7715E 00 1.7713C 00 1.7715E 00 1.7713E 00 1 .7715E 00 1 .7713E 0 0

?.0529E 00 2.0525E 00 2.0529E 00 2.0525C 00 2.0529E 00 2.052bE 00

1.771bE 00 1 .771bE 00 1 .9239k CO I . 9 2 3 9 E 00 2.0530E 00 2.0530E 00

TAU = 3.000 TAU = 3 .500 TAU = 4.000 TAU = 4 . 5 0 0

z 0.01 0.05 0.10

X Y 1.0184E 00 9.6923E-04 1.0702E 00 5.1739E-03 1 .1205E 00 1.1059E-02 1.2022E 00 2.4790E-02 1.2700E 00 4.1254E-02

1.328bE 00 b . l l O 2 E - 0 2 1.3803E 00 8 .5311E-02 1.42b5E 00 1.144OC-01

X Y I . 0185E 0 0 8 .0327E-04 1 .0704E 00 4 .2841E-03 1 .1209E 00 9 .1444E-03 1.2032E 00 2.C432E-02 1 .271bE 00 3 .3836E-02

1.3310E 00 6.9bbCE-02 1 . 3 8 3 b E 00 b .8529E-02 1.4309E 00 9.104CE-02

X I 1.0185E 00 6 .7429E-04 1.0705E 00 3.5928E-03 l . 1 2 1 2 E 00 7 .6604E-03 1.2039E 00 l . 7 0 7 3 E - 0 2 1 . ~ 7 2 7 E 00 2.8177E-02

1.3326E 00 4 .1127E-02 1 .3859L 00 5 .6292E-02 1.G339E 00 7 .4157E-02

X Y 1.0185E 00 5 .7193E-04 1.070bE 00 3 .0452E-03 1.1214E 00 b . 4 8 5 5 E - 0 3

0.20 0.30

0.40 0.50 0 .60

1.2044E 00 1 . 4 4 2 b i - 0 2 1.2735E 00 2.37'+7E-O2

1.3337E 00 3.4531E-0. i . 3 8 7 4 E 00 4.b?97E-12 L.43bOE 00 b . 1 4 9 2 C - i l i I . 5 i 0 8 E 00 9 .7810E-52 0.80

1.00

1.50 2.00 3.00 4.00 5.00

i . 5 0 5 5 E 00 ; ,8575f-01 1.5703E 00 2.b878E-01

1.6896E 00 4 .8b54E-01

1 . 5 i 2 7 E 00 1 .4741E-01 1.5808E 00 2 . L b l 6 E - 0 1

1 .7090E 00 4 . L C 7 l E - O i

1.5175E 00 1 .1912E-01 I . 5 8 7 8 E 00 1 .7570E-01

L.7Z2bE C O 3 .4bbOE-01 1.7102E 00 b .8247E-01 1.8708E 90 9 . 1 1 b l E - 0 1 1 .9308E 00 1 .1873E 00 1 .9705E 00 1.3342E 00

1 .7979E 03 5 .99425-01 1.911bE 00 9 .0596E-01 1.9808E 00 1.127OE 0 0 2.0272E 00 1 .2892E 00

I . 9 6 7 1 E J O 7 . 5 7 7 8 E - 0 1 2.051bE 03 9.9550E-0; 2.1095E O C 1.1795E O C

1 . 1 9 6 6 f 00 1.GBl)OE 01 2.2451E 30 1.6755E 00 2.L973E 00 1.8d97E 00 2.3249E 00 2.0379E 00 2.3535E GO 2.1344E 00

i . 3 7 7 2 E 00 2.2418E 30 2.3693E 00 2.2977E 00 2.3355E 00 2.32b2E OC

7.50 10.00 15.00 20.00 30.00

50.00 75.00 100.00

2.0283E 00 1.5b30E 00 2.0595E 00 1.693bE 00 2.0924E 00 1 . 8 3 b 4 E 00 2.1095E 00 1 .9128E 00 2.127OE 00 1 .992bE 00

2.1414E 00 2.0592E 00 2.1487E 00 2.0934E 00 2.1524E 00 2 .L lO7E 00 2.1561E 00 L . I Z 8 2 E 00 2.1580E 00 2.1370E 00

2.0955E 00 1 .548ZE 00 2.132'1E 00 1 .6992E 00 2.1723E 00 1 .8bb7E 00 2.193CE 00 1 . 9 5 7 2 E 00 2.2144E 00 2.052bE 00

2.1508E 00 1 . 5 i 2 3 E 00 2 .19398 00 1.b923E 00 2.2399E 00 l . 8aSbE 00 2 . 2 b 4 l E 00 1 . 9 8 8 2 5 00 2.2891E 00 2.O991E 00

2 .3098E 00 i . 1 9 2 7 E 00 2.3204E 00 2.2413E 00 2.3257E 00 2.2b6OE 00 2.3311C 00 Z.292OE 00 2.3338E 00 2.3036E 00

2.2319E 00 2 .1326E 00 2.2408E 00 2.1739E 00 2.2454E 00 2 . 1 9 4 0 E 00 2.2499E 00 2 . 2 1 6 0 E 00 2.2522E 00 2.2267E 00

150.00 200 .00

300.00

2 . 4 C 1 7 E 00 2.3552E OC 2.4048E 00 7.3698E 00

2.1599E 00 2.145dE 00 2.2545E 00 2.2374E 00 2. lbOBE 00 2.1502E 00 2.255bE 0 0 2.242RE 00 2.1614E 00 2 .1529E 00 2.25b3E 00 2 . i 4 b l E 00 2 . l b21E 00 2 . 1 5 b j E 00 2.2572E 00 2 .2504E 00

2.2577E 00 2 .2525E 00

2.33655 00 2.3163E 00 2.3378E 00 2.3227E 00 2.338bE 00 2 . 3 i b 5 E 00 2.3397E 00 2 . 3 3 i b E 00

2.4079E 00 2.3845C OC 2.4095E 00 2 .3919E 00 Z .L lO4E 00 2 . 3 9 b j E 00 2.4117E 00 i . 4 0 2 3 E 00

400.00 500 .00 750.00

1000.00

2000 .00 3000.00

2.3403E 00 2.3542E 00

2.3411E 00 2.538BE 00

2.4123E OC 2.4052E 00

1 . 4 1 3 Z E 00 2 .4097C 00 2.2584E 00 2 .2558E 00 2.1632E 00 2.1518E 90 2.Lb33E 00 2 . l b 2 3 E C O 7.1b34E 00 2 . l b i S E 00

2.258bE 00 2 .2569E 00 2.2587E 00 2.2574E 00 2 .2588E 00 2 .2578E 00

2.3414E 00 2.3393E 00 2.3415E 00 2.9+0OE 00 2.341bE 00 2.3404E 00

2 . 4 i 3 6 E 00 2 1 4 1 1 2 E O C 2.4137E 00 2 .c119E 00 2.4138E 00 2.4124E 00 2.4139E 00 2 .4127E 00

*000.00 5 0 0 0 . 0 0 bOOO.OO 2 . 2 5 8 8 ~ 00 i . 2 5 8 0 ~ oo

2.2589E 00 2.2581E 00 2 . i 5 8 9 E 00 2.2502E 00 2.2589E 00 2.2583E 00 2.2589E 00 2.2584E 00 2.2591E 00 2.2591E 00

2 . 3 4 1 b E 00 2 .340bE 00

2.3417E 00 i . 3 4 0 8 E 00 2.3417E 00 2.3+09E 00 2 .3417E 00 2.3410E 00 2.3417E 00 2 . 3 4 l l E 00 2 .3419E 00 2.3419E 00

1000.00 80C0.00

2.1634E 00 2 . l bZ8E 00 2 . l b 3 5 E 00 2.1629E 00 2.1635E 00 2 . l b 3 0 E 00 2.1635E 30 2 . l b 3 1 E 00 2 . l b 3 6 E 00 2 . 1 6 3 b E 00

2.413YE 30 2.4129E 00 2.4139E 00 2.4131E 30

9000 .00 10000.00

I N F

2.4?40E 00 2.4132E 00 2.4140E 00 2.4?33E 00 ?.4142E 00 2.4142E 00

70

I

TAU = 7.500 TAU = 10.00 TAU - 15.00 OMEGA = 0.W

TAU = 5.000

2 0.01 0.05 0.10 0.20 0.30

0.40 0.50 0. bO 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75.00

100.00 150.00 200.00

300.00 400.00 5 0 0 . 0 0 750 .00

LOCO. 00

2000 .00 30CO.00 40C0.00 5000 .00 6 0 0 0 . 0 0

7OCO.00

9000.00 L0000.00

I N F

8000.00

1 0.01 0.05 0.10 0.20 0.30

0.*0 0.50 0.60 0.80 1.00

1.50 2.00 3.00 4.00 5.00

7.50 10.00 15.00 20.00 30.00

50.00 75.00

lCO.00 150.00 200.00

3CO.00 400.00 500.00 750.00 L000.00

2000.00 3000.00 4000.00 50CO.00 6000.00

7000.00 80c0.00 90C0.00 10000.00

I N F

X Y 1 .0185E 00 4.89GVE-04 1.C707E 00 2 .6046E-03

L.OL86E 00 2 .4896E-04 1 .0709E 00 1 .32161-03 1 .L219E 00 2.8041E-03 1 .2055E 00 6 .1835E-03 1 .2753E 00 1.008?E-O2

1 - 1 2 1 b E 00 5 .54341-03 1.2047E 00 1.23CSE-02 1.27kOE 00 2 .0213E-02

1 .33461 00 2.9309E-07 1 .3364E 00 1 .4491E-02 1 .3911E 00 1 .9429E-02

1.3369E 00 8.179bE-03 1.3918E 00 1.0903E-02

1 .33721 00 3 .3393E-03 1.3921E 00 4.4207E-03

1 .kk07E 00 2 .4933E-02 1 .5281E 00 3.7912E-02 I . 6 0 3 k E 00 5 .4196E-02

1 . 4 4 1 6 ~ 00 1 . 3 8 9 9 ~ - 0 2 1.5294E 00 i .0772E-02 1 .60538 00 2.9027E-02

1.758bE 00 5 .8325E-02 1 . 8 7 6 1 t 00 1 .0403E-01 2.0488E 00 2 .4075E-01

2.2568E 00 5 .7923E-01

2.4006E 00 9 .5377E-01 2.4868E 00 1 . i 3 9 1 E 00 2.5851E 00 1 .621kE 00 2.6395E 00 1.8593E 00 2 .69791 00 2.1354E 00

2.7k78E 00 2 . j 8 7 9 F 00 2 .7739E 00 2.52bOE 00 2.7812E 00 2.59828 00 2 .80071 00 2.6726E 00 2.8075E 00 2 .7107E 00

2 . 8 1 4 4 f 00 2 .7493E 00 2.817VE 00 i . 7 6 8 9 E 00 2.8200E 00 2.7806F 00 2.8228E 00 2.7965E 00 2 .8242 f 00 2 .8044E 00

2 .8263E 00 2 .8163E 00 2.827OE 00 2 r b Z O 3 E 00 2 .8273E 00 2.8223E 00 2 .8275E 00 2.8235E 00 2 .8277E 00 2 .8243E 00

2 .8278E 00 2.82' t9E 00 2 .8278E 00 2 .8253E 00 2.8279E 00 2.8257E 00 2.1279E 00 2 . 8 i 5 9 E 00 2.828kE 00 2.8284E 00

2 . 1 6 8 6 ~ 00 ~ . o L ( * ~ E - o I

1.4420E 00 5 .59321-03 1.5301E 00 8 .21k6E-03 1 .60621 00 l . l Z 2 5 E - 0 2

1 .7604~ 00 2 . 0 8 7 8 ~ - 0 2 1.8798E 00 3 .51701-02 2.0561E 00 8 .6125E-02 2.1818E 00 1 .6902E-01 2.2766E 00 2 .7418E-01

2.4360E 00 5 .6678E-01 2.5353E 00 8 .3890E-01 2.6522E 00 1.2614E 00 2 .71861 00 1 .55k7E 00 1.1918E 00 L.9220E 00

2.8554E 00 2 .2819E 00 2.8891E 00 2 .4879E 00 2.9065E 00 2.5V82E 00 2.9243E 00 2 .71361 00 3.9333E 00 2 .77338 00

2.9424E 00 2.8344E 00 2.91169E 00 2.8654E 00 2.9497E 00 2.8d43E 00 2.9534E 00 2 . 9 0 9 6 t 00 2.9553E 00 2.9223E 00

219EbOE 00 2.9415E 00 1.95902 00 2.9419E OC 2,1594E 00 2 .9511E 00 2.9597E 00 2.9531E 00 2.9599E 00 2.9544E 00

2.9660E 00 2 .9553E 00 2.9601E 00 2.9560E 00 2.9602E 00 2 .9565E 00 2.9603E 00 2 .9570E 00 2.9608E 00 2.9608E 00

L.1393E 00 2 .478VE-01

l .9B5BE 00 b . 8 8 5 1 E - 0 1 2 .07651 00 9 .2871E-01 2.1393E 00 1 .1195E 00

2 .23471 00 1 .4k75E 00 2.2d82E 00 1 .6513E 00 2.3k62E 00 1 . 8 8 6 8 8 00

2.4091E 00 2.1602E 00

2 . 4 3 5 8 1 00 2 . 2 8 i 5 E 00 2 .4495E 00 2 . 3 4 4 9 1 00 2 .45641 00 2 .37738 00 2.4634E 00 2 .4102E 00 2.46698 00 2.4269E 00

2.4704E 00 2.4436E 00 2 .4722E 00 2.4521E 00 2.4733E 00 2.4571E 00 2 .k747E 00 2.4639E 00 2.4754E 00 2 . 4 6 7 3 t 00

2.4765E 00 2.4124E 00 2 .47681 00 2 .4741E 00 2.4770E 00 2 .4750E 00 2.4771E 00 2 .4755E 00 2.k772E 00 2 .4758E 00

2.4772E 00 2 .4761E 00 2.4773E 00 2.4762E 00 2 .47731 00 2 .4764E 00 2.k773E 00 2 .41651 00 2.4775E 00 2 .41751 00

1 . ~ 4 4 1 ~ 00 3.98;0~-01

2 . 3 7 7 0 ~ 00 2 . 0 1 8 5 ~ 00

1.7547E 00 1 .1368E-01 1 . ~ 6 9 ~ 00 i . i r 2 9 E - 0 1 2 .0336E 00 4 .114kE-01 2 .1444E 00 6 . 2 7 7 7 8 - 0 1 2.224OE 00 8 .2296E-01

2.3501E 00 1 .2021E 00 2.423bE 00 1 .4629E 00 2.5055E 00 1 .78788 00 2.5500E 00 1 .9792E 00 2.597LE 00 2 .1932E 00

2 .63681 00 2.3824E 00 2.6574E 00 2 .483bE 00 2.6679E 00 2 . 5 3 5 9 1 00 2.6785E 00 2.5894E 00 2.683AC 00 2 . 6 1 6 6 1 00

2 . 6 8 9 2 1 00 2.6441E 00 2.6919E 00 2.658OE 00 2.6935E 00 2.6663E 00 2.6957E 00 2 .6775E OG 2.6968E 00 2.6831E 00

2.6984E 00 2.691bE 00 2.6990E 00 2.bV44E 00 2.6992E 00 2 . 6 9 5 8 t 00 2.6994E 00 2 .6966E 00 2.6995E 00 2.6972E 00

2 . 6 9 9 6 t 00 2.6976E 00 2.6996E 00 2 .6919 f 00 2.6997E 00 2.6982E 00 2 .6997E 00 2.6983E 00 2.7000E 00 2.7OOOE 00

1AIJ = 20.0')

Y Y

T A U = 2 5 . 0 0

X Y 1 . 0 1 8 6 t 00 1 .8001E-05 1.070Vf 00 9 .4996E-05 1 . 1 2 2 1 f 00 2 . 0 0 0 l E - 0 * 1 .2059E 00 4.342GE-04 1 .2759E 00 b.9bLOE-O*

TAU = 30.0G

K " TAU = 40.00

X V I .O l8bE 00 5 .8647E-06 1,0709E 00 3 .0904E-05 i r l 2 2 l f 00 6 .495OE-05 I.ZO5VE 00 ll*042t-04 1.2159E 00 2 .242LE-04

1.C18bE 00 3 . 0 6 5 5 f - 0 5 1.0709E 00 1 .6192 f -06 1.1221E 00 3 .4137E-04

1.018bE 00 1 . 1 5 9 L f - 0 5 1.070YE 00 6.12blF-05 I . 1 2 2 1 E CO 1 .28d7E-04 1.2059E 00 2 .7923F-04 1 .2759E 00 4 .4687E-04

1 . 3 3 7 3 ~ 00 9 . ~ 2 7 6 ~ ~ 0 4 I . 3 9 2 2 E 0 3 1 .2923E-03 1.4421E 03 l . L Z 3 6 E - 0 3 1.5?02E 00 2 .3482E-03 1 .6064E 00 3 .153CE-03

1.3373C 00 b . Z Y 1 7 f - 0 4 1.3922E 00 8.2662C-04 1.4421E 00 : .0365 f -03 1.5303E 00 1 . 4 Y 3 1 F - 0 3 1 .6064E ' I O l a Y 9 6 1 E - 0 3

1.7608E 00 3.4505E-03 1.8805E 00 5 .2C22E-03 2.0578E 00 l .CO06E-02 2 . 1 8 5 l E 00 1.8363E-02 2.2822E 00 3.3184E-02

1.3373E 00 3 .1521E-04 1.3922E 00 4 . 1 2 7 3 t - 0 4 1 . 4 L Z l E 00 5 . l b 2 3 E - 0 4 1.5303E 00 7 .3969E-04 l .bOb4E 00 9 .8338E-04

1.7607f 00 9 .810ZE-03 1.8B03E 10 1 .5676E-02 2.0574E 00 3 .5557E-32 2.1843E 00 7.2964E-02 2.2808E 00 1 .296LE-01

1 .7608E 00 5 .5221E-03 1.BdO4E 00 8 .481LE-93

2.184VE 0 0 3 . 4 5 4 l E - 0 2 2.2819E 00 6 .3621E-02

2.0577s 00 1 . 7 4 8 1 ~ - 0 2

1.7608E 00 1 .6734E-03 1.8805E 00 2 .4738E-03 2,0578E 00 4 .44231-03 2 . l d52E 00 7 .2039E-03 2.2b24E 00 1 . 1 6 7 6 1 - 0 2

2.4k55E 90 3 . 2 7 2 L f - 0 1 2.5501E 00 5 .4987E-01 2.6758E 00 9 . 5 0 7 6 2 - 0 1 2.7488E OJ l . 2 6 I l E 00 2.8300E 00 1 .68 IOE 00

2 .44851 00 1.dBOZE-01 2.5553E 00 3 .5621E-01 2 .6854E 00 7.072OE-01 2.762OE 00 I . 0 1 0 0 E 00 2 . 8 4 8 2 ~ 00 1 . 6 5 2 9 1 00

2.4495E 00 1 .0892E-01 2.5574E 00 2.3008E-01 2 .6b98E 00 5 .227bE-01 2 .7684E 00 8 .0382E-01 2.8579E 00 1.2484E 00

2.4501E 00 3 .8889E-02 2.5587E 00 9 .7026E-02 2.6931E 00 2 .83736-01 2.7738E 00 5 . 0 4 7 2 1 - 0 1 ?.86b7E 00 9 .1391E-01

2 .902 IE 00 2 .1222E 00 2.9407E 00 2 . ? 8 6 7 1 00

2.9257E 00 1 . 9 5 2 1 t 0 0 2.9676E 00 2 .2657E 00

2 .93901 00 l . 7 8 6 l E 00 2.9833E 00 2.1399E 00

2 .9523E 00 1 .4837E 00 2.9998E 00 1.8V53E 00

2.9895E 00 2.6416E 00 3 . 0 1 2 0 1 00 2 .6311E 0 0 3 . 0 2 3 5 1 00 2.7324E 00

3.0065E 00 2.34328 00 3.0305E 00 2 . 5 6 6 5 1 00 3.0428E 00 2 .b862F 00

3.0248E 00 2.1434E 00 ?.0508E 00 2.4241E 00 3.0642E 00 2.5792E 00

3.0023E 00 2.8446E 00 3 1 0 0 7 7 E 00 2 .8922E 00 3.0109E 00 2.9181E 00 3.0152E 00 2 .9529E 00 3.0174E 00 2.97CSE 00

3.0207E 00 2 .9971E 00 3.0217E 00 3.00bOE 90 3.0223E 00 3.0105E 00 3.0226E 00 3 .0132E 00 3.0228E 00 3 . 0 1 5 0 1 00

3.0230E 00 3 .O lbZE 00 3.0231E 00 3.0172E 00 3.0232E 00 3 . 0 1 7 9 1 00 3.0233E 00 3 .0185E 00 3.0239E 00 3 . 0 2 3 9 1 00

3 .0553E 00 i . 8 l l b E 00 3 . 0 7 7 8 1 00 2.7438E 00 3.0847E 00 2 .d301E 00 3.0889E 00 2 .8832E 00 3.0945E 00 2 .955bE 00 3 .09741 00 2 .99251 00

3 . IO l6E 00 3 . 0 4 8 6 1 00 3.1031E 00 3 .0676E 00 1.1038E 00 3.0771E 00 3.10+2E 00 3.0829E 00 1 . 1 ~ 5 ~ 00 3 . 0 8 6 7 ~ 00

3.1047~ 00 ) . O B ~ + E 00 3.1048E 00 3.0915E 00 3.1050E 00 3.0V3LE 00 3.1051E 00 3.0944E 00 3.1059E 00 3.1059E 00

~ ~~ ~~ .~ 3 . 0 4 1 i E 00 2.8910E 00 3 .04k7E 00 2 .9238E 00 3 .0k94E 00 2.96R2E 00

3 .061bE 30 2.8lbbE 00 3 . 0 6 5 4 1 00 2.9163E 00 3.0705E 00 2.Y7GIE 00

3.0518E 00 2.9906€ 00

3.0554E 00 3 .0246E 00

3.0731E 00 2.997kE 00

3 . 0 7 7 0 ~ 00 3 . 0 3 8 8 ~ 00 3 .0783E 00 3.0528E 00 3.0789E 00 3 . 0 5 9 8 1 00 3.0793E 00 3.0640E 00 3 .07968 00 3.0668E 00

3.0566E 30 3 .0361E 00 3.0572E 00 3 .0418E 00 3 .05768 00 3 r 0 4 5 2 f 00 3 .0578E 00 3 .0475E 00

3 . 0 5 8 0 1 00 3 .0492E 00 3.0581E 00 3 .050LE 00

3.0583E 00 3.0521E 00 3.05918 00 3.05911 00

3 . 0 5 8 2 ~ 00 3 . 0 5 1 4 ~ 00

3.0797E 00 3 .0688E 00 3.U79VE 00 3.0703E 00 3 . 0 8 0 0 1 00 3.07156 00 3.0801E 00 3.0724E 00 3.0809E 00 3 . 0 8 0 9 8 00

1111lI I I I II II I I I I I 111111 11111111111111111111~I.I.II 1-a-111

TAU = 75.00 TAU = 100.0 TAU = 200.0 OUEGA = 0.90

TAU = 50.00

I 0.01 0.05 0. LO 0.20 0.30

0.40 0.50 0.60 0.00 1.00

1.50 2.00 3. 00 4.00 5.00

I V X Y 1 .018bE 00 l . b Z 1 8 E - O b 1 .0709E 00 8.6399E-Ob 1 .1221E 00 1 . 8 1 0 3 E - 0 5

X Y l . O l 0 6 E 00 9 . 4 5 3 7 1 - 0 1 1 .0109E 00 4.9740E-Ob l . l Z 2 l E 00 1 .0k34E-05 1 . 2 0 5 9 E 00 i . 2 4 7 3 E - 0 5 1.2759E 00 3 .5743E-05

1 . 3 3 1 3 1 00 5 .0053E-05 1 .3922E 00 be5213E-OS 1 . 4 4 2 1 1 00 8.1308E-05

X Y 1.OIbbE 00 1 . 2 4 6 6 F - 0 7 1.0769E 00 6 1 5 5 5 3 1 - 0 7 1 . 1 2 i l E 00 1.3752E-06 1.2059E 00 2.9617E-Ob 1.2759E 00 4 . 1 1 0 3 E - 0 6

1.3373E 00 6.5957E-Ob 1.3922E 00 0.6009E-Ob 1.4421E 00 : .0713E-05

1 .0186E 00 3.5698E-Ob 1.0709E 00 1 .8799E-05 1.1221E 00 3 .9478E-05 1 .2059E 00 8 .5213E-05 1.2059E 00 3 . 8 9 8 4 E - 0 5

1 .2759E 00 b . 2 0 1 8 E - 0 5 1.2759E 00 1 . 3 5 0 4 E - 0 4

1.3373E 00 1 . 9 0 6 b E - 0 4 1 .3373E 00 8 . 6 8 7 3 E - 0 5 1 . 3 9 2 2 E 00 1 . 1 3 3 3 1 - 0 4 1.4421E 00 1 . 4 1 2 2 E - 0 4 1 . 5 3 0 3 8 00 2 . 0 0 8 0 1 - 0 4

1.3922E 00 2 . 4 9 2 1 E - 0 4 1.4421E 00 3 . 1 1 1 7 E - 0 4 1.5303E 00 4 , 4 4 2 9 E - 0 4 1.6065E 00 5 . 8 8 4 9 E - 0 4

.. _ .~ .. 1.5303E 00 i . 1 5 5 2 E - 0 4 1.6065E 00 1 . 5 i 2 4 E - 0 4

1 .7608E 00 2 . 5 3 0 1 E - 0 4

1 ; 5 3 0 i E 00 1 . 5 2 1 9 E - 0 5 l .bO65E 00 2 . 0 0 5 4 E - 0 5

1.7608E 00 3 .3314E-05

l . b O b 5 E 00 2 . 6 4 8 3 E - 0 4

1 .7608E 00 4 . 4 1 0 9 E - 0 4 1 .7608E 00 9 . 9 1 4 6 1 - 0 4 1.8805E 00 1 . 4 4 9 2 E - 0 3 i.aBosE 00 6 . 3 6 5 5 ~ - 0 4

2 .0579E 00 1 .0748E-03 2 .1853E 00 1 . 5 6 9 8 E - 0 3 2 .2825E 00 2 . 1 2 4 0 E - 0 3

1.8805E 00 3 . b 4 2 2 E - 0 4 2 .0579E 00 b . 1 1 3 4 E - 0 4 2.1853E 00 8.8582E-04

1.8605E 00 4.7937E-05 I .0579E 00 8 . 0 3 7 7 E - 0 5 2 .185% 00 1 . 1 b 3 0 E - 0 4

2.0570E 00 2 . 5 2 3 b E - 0 3 2 .1852E 00 3 . 8 5 7 2 6 - 0 3 2.2824E 00 5 .6646E-03 2 . i 8 2 5 E 00 1 . l b 4 8 E - 0 3

2 .4503E 00 2.0485E-03 2.5592E 00 3 .2723E-03

2.2625; 00 1 . 5 5 2 6 E - 0 4

7 .50 10.00 15.00 20 .00 30.00

50.00 15.00

1 0 0 . 0 0

2 .4502E 00 1.5992E-02 2 .5590E 00 4 .2b45E-02 2 .6941E 00 1 . 5 4 2 3 E - 0 1 2 .7756E 00 3 . 1 5 7 1 E - 0 1 2 .0703E 00 b u b 5 6 2 E - 0 1

2 .4503E 00 4 . 0 1 7 0 E - 0 3 2.559ZE 00 8 .24bOE-03 2 .6946E 00 3.bObOE-02 2 .7168E 00 9 . 9 0 3 b E - 0 2 2 .8731E 00 3 . 0 0 1 1 E - 0 1

2 .9643E 00 7 . 5 1 2 b E - 0 1 3.016CE 00 l . 2 1 2 2 E 00 3.0443E 00 1.5359E 00 3 .0739E 00 1.9471E 00 3.0893E 00 2.1938E 00

3 .1051E 00 2 . 4 7 1 5 E 00 3.1132E 00 2 .6234E 00 3 .1181E 00 2 .7191E 00

2.4503E 00 2.b488E-04 2.5592E 00 3 . 9 2 2 1 E - 0 4 2.6947E 00 1 .1581E-OL 3.7770E 00 1 .304OF-03 2.874CE 00 b . 8 1 5 3 E - 0 3

2.9673E 00 b e b 7 9 5 F - 0 2 3.0219E 00 2.363ZE-O! 3.0521E 00 4 . 4 9 5 b E - 0 1 3.0848E 00 8 . 5 8 8 9 E - 0 1 3.1022E 00 l . l B 8 b E 00

3 .120% 00 1.b458E 00 3.1301E 00 1.9311E 00 3.13>9E 00 2 . 1 3 b l E 00 3.1439E 00 2 .4339E 00 3.14798 00 2.5981E 00

2.6946E 00 1.0552E-02 2 .7770E 00 3.2976E-02 2 .8738E 00 1 . 3 6 1 9 E - 0 1

2 . 9 b b i E 00 4.bb32E-01 3 .019bE 00 8 . 7 6 3 6 E - 0 1 3.0486E 00 l . Z O 4 4 E 00 3.0794E 00 1.b573E 00 3 .0956E 00 1 . 9 L 4 9 E 00

3.ll24E 00 2.2830E 00 3 . 1 2 1 0 t 00 2 . 4 7 3 l E 00 3 .1263E 00 i . 5 9 5 8 E 00 3 . i 3 3 4 k 00 2.7680E 00 3.1369E 00 2.8584E 00

2 .9584E 00 1 .22b7E 00 3 .0078E 00 1 . 6 7 1 3 E 00 3.0340E 00 1.9523E 00 3.0614E 00 2.2815E 00 3 .0755E 00 2 .4bb8E 00

150.00 2 0 0 . 0 0

300.00 400.00 5 0 0 . 0 0 7 5 0 . 0 0 3 . 1 2 4 7 ~ oo 2;aiziE 00

3.1281E 00 2 .921OE 00

3 .1331E 00 3 .0277E 00

1000.00

2000.00 3000.00 4000.00 5 0 0 0 . 0 0 6 0 0 0 . 0 0

7000.00 0000.00 9000.00

1 0 0 0 0 . 0 0 I N F

3 .1107E 00 2 .9765E 00

3 .1153E 00 3 .0473E 00 3.1424E 30 2.99YbE 00 3.1348E 00 3 . 0 6 4 1 E 00 3.1357E 00 3 . 0 8 2 4 E 00 3 . 1 3 6 2 1 00 3 .0935E 00

3 . 1 4 4 2 ~ 00 3 . 0 4 a 2 ~ 00 3.1451E 00 3 .0728E 00 3 . 1 4 5 1 E 00 3.0817E 00

3.L365E 00 3 . 1 0 0 9 E 00

3 . 1 3 b l E 00 3 . 1 0 6 2 E 00 3.1369E 00 3.1102E 00

3.14bOE 00 3.097bE 00 3.1513E 00 3.0588E I ) O

3.1185E 00 3.0990E 00 3.1187E 00 3.101bE 00 3.1188E 00 3.103bE 00 3.1189E 00 3 .1052E 00 3.1199E 00 3.1199E 00

3.1463E 00 3 . i 0 4 8 E 00 3.14b5E 00 3 . l l O l E 00

3.158bE 00 3.0731E 00 3 . 1 5 6 8 ~ oo 3 . 0 8 3 9 ~ 00 3.159CE 00 3.OVZ3E 00 3.1591E 00 3.0990E 00 3.1bG4E 00 3.1604E 00

3 . 1 3 l l E 00 3 . 1 1 3 3 E 00 3 . 1 3 7 2 E 00 3 . 1 1 5 8 E 00 3.1382E 00 3 . 1 3 8 2 E 00

3 .14bbE 00 3 . l i 4 3 E 00 3.1468E 00 3 . l l I 6 E 00 3.1479E 00 3.1179E 00

TAU = 28b.b

2 X 1.018bE 00 1.0709E 00 1.1ZZLE 00 1.2059E 00

0 .01 0.05 0.10 0.20 0.30

0.40 0.50 0.60 0.80

1.2759E 00

1 . 3 3 7 3 E 00 1.1488E-Ob 1 .4981E-Ob 1.8bbOE-Ob 2.65G9E-06 3 . 4 9 3 3 E - 0 6

5 .8028E-Ob 8 .3501E-Ob 1 . 4 0 0 1 E - 0 5 2 . 0 2 5 9 E - 0 5 2 .7044E-05

1.3922E 00 1.4421E 00 1 . 5 3 0 3 E 00 1.6065E 00 1.00

1.50 2.00 3.00 4.00 5.00

1.7608E 00 l.88OSE 00

7.50 10.00 15.00 20. 00 30.00

4.bl39E-05 b . 8 3 1 5 E - 0 5 1 . 2 3 5 4 E - 0 4 2 . 0 0 b 3 E - 0 4 6 . 9 7 0 0 E - 0 4

1 .2384E-02 7 . 5 2 7 9 E - 0 2 1 . 9 0 0 1 E - 0 1

50.00 75.00

100.00 150.00 4 . 8 3 3 8 E - 0 1

7 . 7 2 1 Y E - 0 1 200.00

300.00 3.1213E 00 1 . 2 3 4 6 E 00 1.5615E 00 1 . 7 9 ~ 0 ~ 00

400.00 500.00 750.00

3.1310E 00 3.1369E 00 3 .1450E 00

~ ~~~

2.170LE 00 2.3841E 00

2.745bE 00

1 0 0 0 . 0 0

2000.00 3000.00

3.1492E 00

3.1555E 00 3.157bE 00 2.8719E 00

2.9464E 00 Z.9883E 00 3.016bE 00

~000.00 5 0 0 0 . 0 0 6000.00

3.1587E 00 3.15Y3E 00 3.159BE 00

3.Lb01E 00 3 .1603E 00 3.1605E 00 3.160bE 00 3.1619E 00

7000.00 8000.00 9000.00

10080.00 I H F

3.0369E 00 3.0523E 00 3.0643E 00 3.0139E 00 3.1619E 00

72

TABm 11.- VALUES OF X ( z j ; To) AND Y ( z j ; To) FOR NONCOHERENT SCATTERING WITH DOPPLER BROADENING; THE QUADRATURE FORMULA GIVEN I N THE APPENDIX, VALUES OF THE MOMENTS FOR n = 0, 1 AND ALSO APPEAR. VARIAEGE RANGE AS I N TABU I.

z j ( j = 1, 2, . . ., 9) ARE: NODES OF THE GAUSSIAN an, pn

OMEGA = U.10 T4U - 0 . 0 5 0 TAU = 0.100

X l J l V I J I

TAU = 0.200

X l J l V I J I

TAU = 0.300

X l J l "1.11 Z I J I 0.01 7 1 0 .0935 0 .2475 0 .5106 0.912H 1 .6574 3.4925 9 .2178

4 8 . 0 3 2 4

N -1

0 1

Z I J I 0 .0171 0 .0935 0 .2475 0 .5106 0 .9128 1 .6574 3.4925 9 .2178

48.0334

N -1 0 1

L I J I 0.017: 0 . 0 9 3 5 0 .2475 0 .5106

1 . 6 5 7 4 3.4925 9.2178

48.0334

0.912n

N

0 1

-.

X I J I V I J I 1.0025E 00 5 .51138-02 1.3053E 00 5 .9092E-01 1.0061E 00 8 .2297E-01

1 .0026E 00 4 .2061E-03 l . 0 0 7 2 E 00 3.4946E-01 1.0092E 00 6 .1618E-01 1.0099E 00 8 .3177E-01 1.0103E 00 9 .0636E-01 1 .0105E 00 9 . 5 1 8 6 1 - 0 1 1 .0107E 00 9 .823BE-01 L.0107E 00 9 .9992E-01 1.OlOBE 00 1 .0087E 00

I . 0 0 2 6 E 00 9 .5172E-04 1.0086E 00 1 .2370E-01 1.0127E 00 4 .5648E-01 1.0147E 00 6.8947E-01 1.0156E 00 8 . 1 8 2 l E - 0 1 l . O l 6 2 E 00 9 .0218E-01 1.0167E 00 9.6081E-01 1.0169E 00 9 .9535E-01 1.0170E 00 1 .0128E 00

1.OO1tE 00 7 .2106E-04 1.0090E 00 4 .5256E-02 1.0144E 00 3.0854E-0: 1.0175E 00 5 .7105E-01 1.0192E 00 7 .3772E-01 1.0203E 00 8.5389E-01

1.0063E 00 9.1297E-0: 1.0065E 00 9 .5310E-01 1 .0065E 00 9 .76781-01 1 + 0 0 6 6 E 00 9 .9234E-01 1 .0066E 00 1.0012E 00 1.0066E 00 1.0056E 00

1.0210E 00 9 .3829E-O i 1.0214E 00 9 .8926E-01 1.0217E 00 1.0154E 00

A L P H A I V I U E T A I N I 1.9044E 00

1.0062E 00 R.7493E-01 -1 .3668E-04 -4.6472E-02

ALPHA1 N l BETA I N I 1 .46821 00

1 .0096E 00 7 .9631E-01 -4 .1303E-04 -8.8170E-02

A L P H A l N l B C T A I N I 1.0463E 00

1.0142E 00 6 .7919E-01 -1 .1766E-03 -1 .6162E-01

ALPH41 N 1 B E T A I N I 8 .0898E-01

1.0171E 00 5 . 9 2 0 5 E - 0 i - 2 . 0 6 l l E - 0 3 -2 .2500E-01

T4U = 0.400 T4U = 0.500 TAU = 0.600

X I J I Y I J I 1 .0026E 00 4 .0474E-04 1 . 0 0 9 1 t 00 4 .2455E-03 1.0162E GO 9 . 6 b l 6 E - 0 2 1 .0216E UO 3 .2417E-01 1.0251E 00 5 .3890E-01 1.0275E 00 7 .2C98E-01 1 .0293E 00 8 .6998E-01 1 .0304E 00 9 .6678E-01 1.0309C 00 1.0;*4t 00

TAU = 0.800

X I J I Y I J I 1.0026E 00 5 .7950E-04 1 .0091E 00 1 .7751E-02 1.0153E @C 2 .0899E-01 1.0194E 00 4 .7283E-01 1.0218E 00 6 .6468E-01 1 .0233E 00 R.O749E-'31 1 .0244E 00 9.15G7E-01 1.025OE 00 9 . d 2 2 9 f - 0 1

X I J I Y I J I 1 .0026E 0 0 4 .7976E-04 1.0091E 0 0 7.913VE-03 1 .0159E 00 1.42OCE-01 1 .0207E 0 0 3 . 9 1 4 8 E - 0 1 1.0236E 00 5.9R59E-01

X I J I Y I J I 1 .00 i6E 00 2 .9878E-04 1.0091E 00 2 .0699E-03 l . O l 6 4 E 00 4 .5884E-02 l . 0 2 2 7 E 00 2 .2243E-01 1.027OE 00 4.3650E-0:

1 .0256E 00 1 .b317E-01 1 .0271E 0 0 8 . 9 2 6 4 t - 0 1 1 .0279E 0 0 9 . 7 4 7 3 E - 0 1

X.OJO2E 00 6 . 4 2 8 5 E - 0 1 1 .03 i6E 00 8 .2553E-01 1.0342E 00 9 .5007E-01

1 .0254E 00 l.OL7OE 00 1.0284E 00 l . G l 8 C E 0 0 1.0350E 00 1.0183E 00

4 L P H A l V l B E T 4 I N 1 6 . 5 4 5 5 E - 0 1

1 . O l P l E 00 5 .2305E-01 -2 .9785E-03 - 2 . 8 0 6 5 E - 0 1

ALPH4 I N I 8 F r A I k I A L P H A l N l B E l 4 1 N 1 P L P H A I N l B E T A I N I 3 . 4 0 9 8 t - 0 1

1.OL32E 00 3 . 4 3 7 3 E - 0 1 -6 .4003E-03 - 4 . 5 0 L l E - 0 1

5 . 4 4 l O E - 0 1 1.0206E 00 4 .6644E-01

-3 .8885E-03 -3.3004E-0:

4. 6 0 2 l E - 0 1 1 . 0 2 1 l C 00 4 . i 8 9 5 E - 0 1

-4 .7691E-03 -3 .7426E-01

T4U = 1.000 TAU = 1.500 T4U = 2.000

X I J I Y I J I 1 .0026E 00 7 .7331E-05 1 .0091E G O 4.6127E-04

1.0239E UO 2.4505E-02 1 .0300E 00 1.2256E-O1

1 . 0 1 6 6 ~ c o I . B O ~ ~ E - O ~

T4U = 2.500

X I J I Y I J I 1.0026E 00 2.ZOOJE-04 1.0091E 00 1 .4322E-03 1 .0165E 00 2 .2693E-02 1.0233E 00 1 .5284E-01 1.02t lZE 00 3 .5335E-01 1.032OE 0 0 5 . 1 2 t 6 E - 0 1 1.0351E 00 7 .825dE-01 1 .0370E 00 9 .327CE-01

X I J I Y l J l 1 . 0 0 2 6 t 00 1 .2724E-04 1 .0091C 0 0 7.689PE-04 1 .016bE 00 4 .9333E-03 1 .0239E 00 6 . 0 4 6 1 t - 0 2 1 .0296E 00 2 . 0 8 1 1 E - O l 1 .0345E 00 4 . 2 1 8 4 E - 0 1 1 .0387E 00 6 .8290E-01 1 .04L5E 0 0 8.864rE-01

X I J l Y I J I 1.OC,26E 00 5 .1598E-05 1.0091E 00 2 .9472E-04 l . O l 6 t E 00 9 .1037E-04 1.0239E 00 1 .0335E-02 1.0302E 00 7 .2263E-02 1.0361E 00 2 .3747E-01 i . 0 4 1 5 E 00 5 .1699E-01 1.0454E 00 8 .0167E-01

1 . 0 3 5 6 ~ ou 3 . 1 ~ 9 5 ~ - 0 1 1.C405E 00 5 .9456E-01 I.OL40E 00 8 .4443E-01 1.045YE 00 1.0042E 00 1.038OE 00 ? . 0 i 7 1 E 00 1 .0430E 00 1 .0117E 00 1.0477E 00 9 .9563E-01

4 L P H 4 I Y I B E T L I ' i l 4 L P H 4 I N I B E T A I N I 4 L P H A l V I B E T A I N 1 A L P H A I N I B E T A I N I 2 .6086E-01

1 .0242E 00 2 .8709E-01 -7 .836kE-03 - 5 . 1 3 O i E - 0 1

1 . 4 6 1 2 E - 0 1 1 .0253E 00 1 .9400E-01

-1 .0634E-02 -6 .311OE-01

8 .90 i3E-02 1.0258E 00 1 .3965E-01

-1 .255bE-02 -1 .1342E-01

5.7514E-02 1.026OE 00 1 .0559E-01

-1 .3890E-02 -7 .7414E-01

TAU = 4 . 5 0 0 T4U = 4.000 TAU = 3.000 r w = 3.500

Z I J I X I J I V I J I X I J I Y I J I X I J I Y I J I X I J l Y I J I 0 . 0 1 7 1 1 .0026E 00 3 .3727E-05 1 .0026E 00 2 .3037E-05 I . 0 0 2 6 E 00 1.7177E-05 1.0026E 00 1 .3016E-05 0 . 0 9 3 5 1 .0091E 00 1 . 9 7 n l E - 0 4 1 .0091E 30 1.3838E-04 1 .0091E 00 1.5033E-04 :.0091E 00 7 .5080E-05 0 .2475 l . O l 6 6 E 00 6 . 1 5 i l E - 0 4 1 .0166E 00 4 .1969E-04 1 .0166E UO 2.9942E-04 l . O l 6 6 E 00 2 .2121E-04 0 .5106 1.0239E 00 4 .6323E-03 1 .0239E 00 2 .2598E-03 L.0239E 00 1 .2226E-03 1.0239E 00 7 .3685E-04 0 .9128 1.C303E 00 4 .2710E-02 1 .0303E 00 2 .5336E-62 1.0303E OU L.5110E-02 1.0303E 00 9 .0778E-03 1 .6574 3.0363E 00 1 .7668E-01 1 .0364E 00 1 .3139E-01 1.0365E 0 0 9.7696E-02 1.0365E 00 7 .2640E-02 3 1 4 9 1 5 1.0421E 00 4 .4917E-01 1 .0474E 00 3 .9005E-01 1.0426E 00 3 .3859E-01 1.0428E 00 2 .9385E-01 9 .2178 1.0464E 00 7 .6055E-01 1 .0470E 00 7 .2123E-01 1.0474E 00 6 .8375E-01 1.0477E 00 6 .4809E-01

4 8 . 0 3 3 4 1.0489E 00 9 .9656E-01 1 .0497E 00 9 .7720E-01 1.0502E 00 9 .6769E-01 1.0506E 00 9;5813:-0i

N A L P H P l N l R E T A l h l 4 L P H 4 I N I B E T A I N I ALPHA1 N l BE T A l N l A L P H 4 l N I R E T A I N 1 -1 3.895 LE-02 2 .7457E-02 2 .00431-02 1 .5086E-02

0 1.0262E 00 0.3073E-02 I . 0 2 6 2 E 00 6 .7529E-02 1 .0263E 00 5 r 6 5 8 6 E - 0 2 1.0263E 00 4.Bl3OE-02 1 -1 .4836E-02 -8 .2095E-01 -1 .5523E-02 -8 .5839E-0 i -1 .6036E-02 -8 .8923E-01 -1 .6429E-02 -9 .1527E-01

73

I A U = i5.00 TAU = 7.500 T A U = 10.GO OUEGA - 0.10

T 4 U = 5.000

0.0171 0.0935 0.2415 0.5106 0.9128 1.6574 3.4925 9.2178

4 8 . 0 3 3 4

X I J I Y l J l 1.002bE 00 1.0058E-05 1.009lE 00 5.77621-05 1.01b6E 00 1.b837E-04 1.0239E 00 4.8898E-04 1.0303E 00 5-50941-03 1.0366E 00 5.4OllE-02 1.04291 00 2.5497E-01 1.047% 00 6.1421E-01 1.0510E 00 9.4855E-01

X l J l Y I J I l.OO2bE 00 3.1504E-Ob 1.0091E 00 2.1212E-05 1.0166E 00 5.9128E-05 I.0239E 00 1.3961E-04 1.0303E 00 6.1218E-Ck 1.0366E 00 11237bE-02 1.0430E 00 1.252bE-01 1.0484E 00 4.b911E-01

X I J I Y I J I 1.C02bE 00 1.9058E-Ob 1.0091E 00 1.07i5E-05 l.Ol66E 00 2.9b77E-05 1.0239E 00 b.b4b8E-05 1.0303E 00 1.5854E-04 1.036bE 00 2.9fOIE-03 1.04311 00 b.1502E-02 1.0485E 00 3.5803E-01 1.0521E 00 8.5b04E-01

X I J 1 Y I J I :.COibE OC 1.5441E-07 l.OG91E 00 4.2441E-0t 1.OlbbE 00 1.158lE-05 1.0239E 00 2.51b8E-05 1.03C3E 00 4.90461-05 1.03bbE 00 2.3664E-04 1.0431E 00 1.48b9E-02 1.048bE 00 2.0841E-01 1.05i4E 00 1.1116E-31

N 4 L P H A l N l 8 E T 4 l N l 4 L P H A l N l 8 E 1 4 l V l 4 L P H A l V I B E T P I N I

0 1.02b3E 00 4.1833E-02 1.0263E 00 2.4838E-02 1.0263E 00 l.7454E-02 1.02C3E 00 1.0788E-02 I -1.6736E-02 -9.3170E-01 -1.1609E-02 -1.01lbE 00 -1.8015E-02 -1.OoY4E 00 -1.8401E-02 -1.1315E OC

8.8b52E-04 4 L P H A l N l 8 E T A I N I

-1 1.16b6E-02 4.3581E-03 2.2 i 04 E-03

TAU = 20.00 TbU = 25.00 1 4 u = 3C.OG TAU = 4C.00

Z I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I 0.0111 I.0026E 00 1.2410E-Ob 1.002bE 00 3.0241E-07 1.002bC GO 1.0416E-07 1.OOZbE ,IO 4.3529E-06 0.0935 1.0091E 00 2.234bE-Ob 1.009lE 00 l.3bAhE-Ob 1.0091t 00 9.1928E-07 1.0091E bo 5.0084t-07 0.2475 1.01bbE 00 6.0637E-Ob 1.01bbE 00 3.h983E-Ob 1.01bbL '10 2.4779E-Ob ?.O:bbE 50 1.3452E-Ob 0.510b l.OZ39E 00 1.3007E-05 1.0239E 00 1.8168E-Ob 1.0239E 00 5.25,bE-Ob 1.0259E 00 2.83441-Ob 0.9128 1.0303E 00 2.4bl3E-05 1.0303E 00 1.4752E-05 1.0303E 00 9.7b28E-Ob 1.03C3E 00 5.2132C-Oh 1.6574 1.03bbE 00 5.1254E-05 1.036bE 00 2.9705E-05 1.03bbE 00 1.9093E-05 1.03b6E 00 9.9594E-36 3.4925 1.0431E 00 3.b354E-03 1.0431E 00 9.lbb5E-04 1.0431E 00 2.5023E-04 1.043lE 00 3.5lbbE-05 9.2178 1.0487E 00 1.2128E-01 1.048lE 00 7.0577E-02 1.0487t 00 4.lO7bE-02 1.0487E 00 1.3925E-02 48.0334 1.0525E 00 6.9563E-01 1.052bE 00 b.2b95E-01 I.0526E 00 5.b503E-01 1.0527E 00 4.5890E-01

N A L P H 4 l Y I BETAIN1 A L P H 4 l N l B E T A I N 1 A L P H b l V l A E T 4 I Y l 4 L P n A l Y I A E T A l Y l

0 1.02b3E 00 1.1275E-03 1.0263E 00 5.984lE-03 l.OZb3E UO 4.8b57E-03 l.CZb3E 00 3.513bE-03 1 -1.8588E-02 -1.1830E 00 -1.8b99E-02 -1.21b9E 00 -1.8771E-02 -1.2439E 00 -1.8ahlE-02 -1.265iE q C

-1 4.7040E-04 2.87b9E-04 1 . 9 3 4 3 E - 0 4 1.0550E-04

r 4 u = &oo.o T 4 U = 50.00 TbU = 75.00 T 4 U = 1CO.C

Z I J I X I J I Y I J I X I J I Y I J I X l J I Y I J I X I J I Y I J I 0.0171 I.OOibE 00 5.9386E-08 1.002bE 0 0 1.044lE-07 1.002bC 00 2.4brtZE-08 1.0L~oE JO b.9355E-38 0.0935 0.2475 0.5106 0.9128 1.6514 2 . L P 7 F .

. .~~ ~ ~

1.0091E 00 3.2bllE-07 1.OlbbE 00 8.1513E-07 1.0239E 00 1.837AE-Ob 1.0303E 00 3.3578E-Ob 1.03b6E 00 b.3259F-Ob , . " ' > I F nn 1.53bHF-09

1.0091E 00 1.b41lE-07 1.016bE 00 4.3932E-01 1.0239E 00 9.1865E-07 1.0303E 00 l.bb83E-Ob 1.03bbE 00 3.1029E-Oh 1.0431F 00 b.8999E-Ot

1.G091E U O 9.5t59E-08 l.Olbb€ 00 2.5578E-07 1.0239E 00 5.3452E-07 1.0303E 00 9.b98lE-07 1.C3bbE 00 1.800bE-Ob l.OL31E 00 3.9185E-Ob

1.0011E 00 1.17lRE-08 1.OlbbE 00 3.17ZOE-01 1.0239E 00 b.b*OBE-Cd 1.03C3E 00 1.2057E-P7 1.0366~ 110 2 . 2 3 ~ 9 ~ - 0 7 1 . 0 4 3 1 ~ 00 G . ? G G ~ E - ~ ~ _._ _ _ _ _ _ _._..._ .. ... ... .~ ~~~ ~ ~~ ~ ~~~

9.2178 1.048lE 00 4.1320E-03 1.0487E 00 3.3324E-04 1.0487E 00 3.2912;-05 1.0481E 00 >.5060€-0'1 48.0334 1.052lE 00 3.12b9E-01 1.0527E 00 2.2152E-01 1.0527E 00 1.3lb6E-01 :.05~7E OC l.b429E-?i

N A L P H 4 l Y l B E T 4 l N I 4 L P H b I N I B E T A I N 1 4 L P H A l Y l A E T A l U I ALPHblNl BETblYl

0 1.0263E 00 2.10lbE-03 1.02b3E 00 1.5544E-03 1.C263t 00 9.2ULlE-C4 1.02b3t 00 1.i477E-04 1 -1.891bE-02 -1.315YE 00 -1.8998E-02 -1.3bl5E 00 -1.VO44E-02 -1.3978E 00 -1.Y;CLE-02 -1.L355E OC

-1 b.8994E-05 3 . 4 8 73E-05 2.0242E-05 i .b414C-O~

1 4 U = 223.9

Z I J I X I J ) Y I J I 0.0111 1.002bE 00 0.00COE-39 0.0935 1.0091E 00 1.2523E-09 0.2475 1.01bbE 00 1.93b7E-08 0.510b 1 .OZ39E 00 4 r 0 4 5 8 E - 0 8 0.9128 1.0303E 00 7.33VlE-08 1.6574 1.03bbE 00 1.3b21E-07 3.4925 1.0431E 00 3.0071E-07 9.2178 1.0487E 00 9.1557E-07

4 8 . 0 3 3 4 1.0527E 00 9.989bE-03

U I J I Z l J 1 H l J l 1.b7bBE-02 1.7054E-02 3.1237E-02 8.5547E-02 9.3550E-02 1.8757E-02 1.9838E-01 2.47k8E-01 1.4267E-01 3.38OlE-01 5.1059E-01 2.3480E-01 4.7721E-01 9.1280E-01 3.0711E-01 6.23bPE-01 1.657kE 00 1.2427E-01 7.7751E-01 3.4925E 00 5.1584E-02 9.0213E-01 9.2178E 00 2.199lE-02 9.79611-01 4.8033E 01 6.91708-03

N b L P H 4 I V l B E T A I N 1 -1 1.5285E-C6 0 1.0263E 00 b.9186E-05 1 -1.9108E-02 -1.438bE OC

74

OMEGA = 0.20 T4U = 0.350 TAU = 0.100 T4U = 0.200 TAU - 0.300

L I J I X I J I Y I J I X I J I Y l J l X I J I Y I J I X I J I Y l J l 0.0171 1.0051E 00 5 .6953E-02 1.0053E 00 5 .6135E-03 1 .0053E 00 1 - 9 4 5 3 1 - 0 3 1.0053E 00 1 .49408-03 0.0935 1.0107E 00 5 .9594E-01 1 .0146E 00 3.5571E-01 1.0175E 00 1.2978E-01 1.0183E 00 5 .03476-02 0 .2415 1.0122E 00 8 .2896F-01 1 . 0 1 8 6 E 00 6 .8498E-01 1.0258E 00 4 .6776E-01 1.0295E 00 3 .2020E-01 0 .5106 I .0128E 00 9 .1932E-01 I.OZO1E 00 8 .4165E-01 1 .0299E 00 7 .0561E-01 1.0360E 00 5 .8129E-01 0 .9128 1.0130E 00 9 .5960E-01 1.0209E 00 9 .1673E-01 1.0319E 00 8 . 3 3 8 1 6 - 0 1 1.0394E 00 7 .5654E-01 1 .6514 1.0131E 00 7 .8337E-01 1 .0213E 00 9 .6253E-01 I . 0331E 00 9.1870E-01 l.04lbE 00 8 .7442E-01 3.4925 1.0132E 00 9 .9899E-01 l . O Z l 6 E 00 9 .9325E-01 1.0340E 00 9 .7795E-01 1.0432E 00 9 .6002E-01 9 .2178 1.0133E 00 1 .0079E 00 1 .0217E 00 1 .0109E 00 1.0345E 00 1.0129E 00 1.0440E 00 1 .0117E 00

48.0334 1.0133E 00 1.0123E 00 1 .0218E 00 1 .0197E 00 1.0347E 00 1.0305E 00 1.0445E 00 1.0382E 00

N 4 L P H A l N l BETPIN1 4 L P H b l N l B E T b l N I 4 L P H 4 I N I B E T 4 l N l A L P H I I N I R E T A I N 1

0 I . 0124E 00 8.81081-01 1.0195E 00 8 .0582E-01 1 .0289E 00 6 .9288E-01 1 .0351E 00 6 .0807E-01 1 -2.1562E-04 -4 .6650E-02 -8 .3796E-04 -8.8749E-02 -2.4106E-03 -1.6339E-01 -4 .2566E-03 -2.2830E-0:

-1 1 . 9 2 i 2 E 00 I . 4 9 0 1 E 00 1.0730E 00 8 .3114E-01

T4U = 0.400 T4U = 0.500 T 4 U = 0.600 TAU = 0.800

L I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I 0 .0171 1.0053E 00 1 .2105E-03 1.0053E 00 1 .0095E-03 1.0053E 00 8.5733E-04 1.0053E 00 6 .4053E-04 0.0935 1.0186E 00 2 .192dE-02 1 . 0 1 8 1 E 00 1 .1316E-02 1 . 0 1 8 7 E 00 7.1599E-03 1.0188E 00 4.2212E-03 0.2475 1.0315E 00 2 .2012E-01 1 .0321E 00 1 .5222E-01 1.0334E 00 1 .0608E-01 I .034OE 00 5 .3143E-02 0.5106 1.0401E 00 4 . 8 9 9 3 E - 0 1 1.0429E 00 4.0068E-OL 1.0449E 00 3 .4097E-01 1.0473E 00 2 .3770E-01 0.9128 1.0449E 00 6 .8548E-01 I . 0 4 9 0 E 00 6 .2054E-01 1.0521E 00 5.6139E-01 1.05b4E 00 4 .5887E-01 1 .657L 1.0481E 00 8 .3087E-01 1 .0531E 00 1 .8858E-01 1.U572E 00 1.478OE-01 1 .0632E 00 6 .7119E-01 3.4925 1.0503E 00 9 .4012E-01 1 .0561E 00 9 . 2 0 6 4 E - 0 1 l . O b l O E 00 9 .001bE-01 1.0684E 00 8 .5877E-01 9 .2178 1.0511E 00 1 .0081E 00 I . 0 5 8 0 E 00 1 .0043E 00 1.0632E 00 9.9905E-01 I . 0 7 1 6 E 00 9 .8651E-01

4 8 . 0 3 3 4 1 .0524E 00 1.04LOE 00 1.0589E 00 1 .0484E 00 1.0644E 00 1.0518E 00 1 . 0 1 3 3 E 00 1.0564E 00

N A L P n I l Y I B E T 4 I N I 4 L P H A l N l B E T 4 I l r l I L P H A I N I l J E T 4 l ' V l 4 L P H 4 l N I O E T 4 l N l -1 6 . 8 2 l l E - 0 1 5 .7158E-01 4 . 8 6 i o ~ - o i 3 .6488E-01 0 1.0394E 00 5.40311F-01 1.0426E 00 4.8444E-01 1.0450E 00 4 .3721E-01 I . 0484E 00 3.6172F-0: I -6 .1941E-03 -2 .8564E-01 -8 .L359E-03 -3 .3685E-01 -1.C033E-02 -3 .8291E-01 - 1 . 3 5 V l E - 0 2 - 4 . 6 2 5 4 E - 0 1

T ~ U = 1.000

" 1 2 1

TAU = 1 .500

X l J l Y I J I 1 .0054E 00 2 .8178E-04

TAU =

X I J I 1.0054E 00 1.0188E 00 1 .0345E 00 L.0501E 00 1 .0634E 00 1 .0755E 00 1.0864E 00 1 .0940E 00 1 .0982E 00

2.000

Y I J I 1.1616E-04

r4u = 2.500

L I J I X I J I X I J I 1 .0054E 00 I .0188E 00 1.0345E 00 1.0502E 00

Y I J I 1.1379E-0'1 6 . 7 5 6 8 E - 0 4 2 .1148E-03 1 .3942E-02

0;0171 0.0935 0.2475 0 .5106 0.9128 1 .6574

4 .9407E-04 3.0826E-03 2 . 8 l b l E - 0 2

3 .7465E-01 6 .0132E-01 8 .1765E-01 9 .721bE-01 1.0589E 00

1 . 6 6 1 8 ~ - 0 1

l . O I 8 8 E 00 1 .7084E-03 1.0345E 00 8.086BE-03 1.0498E 00 b .9272E-02 1.0623E 00 2 .2517E-01 1.0730E 00 4 .5449E-01 I .082OE 00 7 .1928E-01 I .OB81E 00 9 .32 lOE-01 1 .0915E 00 1 .0595E 00

1.0432E-03 3 .69b8F-03 3 .0127E-02 1 .3531E-01 3 . 4 1 Y 7 E-01 6.2915E-01 8 .8965E-01 1.0555E 00

8 .1506E-02 2 .5665E-01 5 .4984E-01 8 .4700E-01 1 .0490E 00

3 .4925 9.2178

48.0334

1.0738E 00 I . 0 1 7 9 E 00 I.OBO1E 00

N A L P H 4 l N I B E T I I N 1 4 L P H 4 l N I B E T 4 l N l 4 L P H 4 l N l B E T 4 l h l l 4 L P H 4 l Y I B E T P I N 1 6 .5457E-02

0 1 .0506E 00 3 .0425E-01 L.0533E 00 2 . 0 8 3 3 E - 0 1 1.0544E 00 1 .5124E-01 1.0550E 00 1 .1493E-01 1 -1 .6171E-02 -5 .2899E-01 -2.3098E-02 -6 .5513E-01 -2.7555E-02 -1 .4404E-01 -3 .0706E-02 -8 .1006E-01

-1 2 .8209E-01 1 .6146E-01 1 .0002E-01

T4U = 3.000 TAU I 3.500

L I J I X I J I V I J I X l J l Y l J l

T4U = 4.000 14U = 4 .500

Y I J I 3 . 0 4 3 5 1 4 5 1 .7666E-04 5 .2393E-04

X I J I Y I J I 0.0171 1.0054E 00 7 .8125E-05 1.0054E 00 5 .5011E-05 0.0935 l a O 1 8 8 E 00 4 .5810E-04 1 .0188E 00 3.2291E-04 0.2475 1.0345E 00 1 .4225E-03 1 .0345E 00 9 .8305E-04 0 .5106 1.0502E 00 6 .9988E-03 1 .0502E 00 3 .8594E-03 0.9128 1.0641E 00 4.9315E-02 l . 0 6 4 1 E 00 3 .0040E-02 1.6574 1.0174E 00 1 .9231F-01 1 .0777E 00 1 .4397E-01 3.4925 1.0902E 00 4 .1924E-01 1 .0910E 00 4 .1122E-01 9 .2178 1.0997E 00 8.0518E-01 1 .1012E 00 7 .6469E-01

48.0334 1.1053E 00 l . 0 4 l l E 00 1 .1073E 00 1.0324E 00

1.0054E 00 I . 0 1 8 8 E 00 1.0345E 00 1.0502E 00 1.0642E 00 1.0778E 00 1 .0915E 00 l .1022C 00 1.1087E 00

4.0359E-05 2 .3533E-04 7.0624E-04 2.33Y3E-03 1. 8 4 7 l E - 0 2 1 .0773E-01 3.6295E-01 7 .2577E-01

3 .5419E-03 1.1500E-02 8.0612E-02 3 .1556E-01 6 .8854E-01

1 . 0 2 3 2 1 00 1.1097E 00 1.0138E 00

N 4 L P H A I N I B E T 4 l N l A L P H A I N I B E T A I N I A L P H b l N I B E T 4 1 N I A L P H 4 I N I B E T A I N 1 1 .75881-02

0 1 .0553E 00 9.0653E-02 1.0554E 00 7 .3754E-02 1.0555E 00 6 . 1 5 6 l E - 0 2 1.0556E 00 5 - 2 5 0 5 E - 0 2 1 -3.2972E-02 -8.611bE-01 -3.4637E-02 -9.OZOBE-01 -3.5880E-02 - 9 1 3 5 8 1 E - 0 1 -3.6851E-02 - 9 - 6 4 2 5 E - 0 1

2.3301E-02 -1 4.4762E-02 3.1773E-02

75

II 111 I I I I IIIm1111 I l l I I I I I I I I

OMEGA = 0.20 TAU = 5.000 TAU = 7.500 TAU = 10.00 TAU = i 5 . 0 0

Z I J ) X I J J V I J I X I J J Y I J J X I J I Y l J l X I J I Y I J I 0.0171 1 .0054E 00 2.2028E-05 1.0054E 00 8.7435E-Ob 1 .0054E 00 5.5613E-06 1.0054E GO 2.b301E-06 0 .0935 1 .0188E 00 1 .3615E-04 1 . 0 1 8 8 E 00 4 .985bE-05 1.0188E 00 i .5015E-C5 l .018ME 00 9 .8239E-06 .. . 0.2475 1 .0345E 00 3.9971E-04 1 . 0 3 4 5 1 00 1 .6156E-04 1.0345E 00 b.9b74F-05 1.0345E 00 2.7045E-05 0.5106 1 .0503E 00 1 .0872E-03 1 .0503E 00 3 .3314E-04 1.0503E 00 1.5787E-04 1.0503E 00 5.9239E-05 0 .9128 1.0642E 00 7 .27718-03 1 .0642E 00 1 .0871E-03 1.0b42E 00 3.5500E-04 1.0642E 00 1 .1b24E-04 1 .b574 1.078OE 00 6 .0334E-02 1 .0781E 00 1 .4379E-02 lmO781E 00 3 1 6 4 3 9 E - 0 3 1.0781E 00 4 .0119E-04 3.4925 1.0921E 00 2 .742bE-01 1 .0926E 00 1 .3559E-01 1.092bE 00 6 .6952E-02 1.0927E 00 1 .6417E-02 9.2178 1.1035E 00 b . 5 3 0 2 E - 0 1 1 .1047E 00 4.9987E-01 1 .1051E 00 3 .8199E-01 1.1054E 00 2 .2273C-01

4 8 . 0 3 3 4 1.1105E 00 1 . 0 0 4 l E 00 1.112bE 00 9.5545E-01 1.1134E 00 9 .0797E-01 1.1141E 00 0 .1905E-01

N A L P H A I Y I B E T d l N l A L P H A l N l O E T A l N l A L P H A I N I 0 E T A l N l ALPHA1 N l BETA I N I -1 1.3617E-02 5 .0118E-03 2.5693E-03 1 .0181E-03 0 1.055bE 00 6 . 5 5 7 8 f - 0 2 1 .0551E 00 2 .b880E-02 1.C557E 00 1.88OZE-02 1.0557E 00 1 .1565E-02 1 -3 .7b07E-02 - 9 . 8 8 7 3 E - 0 1 -3.9757E-02 -1.0756E 0 0 -4 .0753E-02 -1 .1316F 00 -4 .169bE-02 -1.2047E 00

TAU i

X I J J 1.OC54E 00 1 .0188E 00 1.0345E 0 0 1 .0503E 0 0

25 .00

Y I J J

T4U =

* l J I 1.0054E 00 1.0188C 00 1.C345E 00 1 .0503E 00 l .Ob42E 00 1.C781E 00 1.C927E 00 1.1055E 00 1 . 1 1 4 6 t U O

30.00

Y I J I

TAU = 40.00 TAU =

X I J I 1 . 0 0 5 4 f CO

20.00

V I J I Z I J I 0 .0171

X I J I Y I J I 0 .0000E-39 1.1478E-Ob 3 .L044E-06

6 .7604E-06 5 .1324E-06 1 . 4 0 7 4 f - 0 5 3.C456E-05 5 .8214E-05 1 .282OE-04 4.1213E-03 1 .2978E-01 7.3847:-01

0 .000GE-39 3 .1590E-06 n . 5 8 1 9 t - 0 6

3 .7578E-07 2.1095E-06 5 . 7 3 i 7 E - 0 6 1 .2250E-05 2.2927E-05 4 . 5 i 4 7 F - 0 5

1.0054E 00 1.0;89E 00 1.0345E 00 I . 0 5 0 3 E 0 0 1.0642E 00

1 . 0 9 i 7 E 00 1.1055E 00 l . l i 4 7 E 00

: . 0 7 n i ~ 00

0.0935 0 .2475 0 .5106

1 .6574 3.4925 9.217R

0 .9128

1.018RE CO 1.0345E 00 1.0503E 00 1.0642E 00 1 .0781E 00 1.0927E 00

~ ~ .~ 1.841 3E-05

1.0642E 00 3 .4724E-05 l . O l 8 1 E 00 7 .004bE-05 1 . 0 9 2 l E 00 1 .0995E-03

7 .5623E-02 6 . 6 5 6 9 E - 0 1

6.592OE-06 1 . 2 2 0 9 E - 3 5 2 . 3 4 W E -1)5 7.0296E-05 1 .499BE-02 4 .8761E-O i

1.1054E 06 1.1144E 00

1.1054E 00 1.1145E 00

4. ‘1075E-02 6.OCOZE-01 48.0334

N A L P H A I Y I BETAIN1 ALPHA I .i I BET A I N 1 A L P H A l Y l 8 E T 4 1 V 1 A L P H A I Y I R E l A l Y l

0 1 . 0 5 5 7 t 00 8 . 2 b 3 4 f - 0 3 1 . 0 5 5 7 t 00 6 .3899E-03 1.0557C 0 0 5 . l b q 8 E - 0 3 1.0557E 0 0 3 . 1 4 3 O C - 0 3 1 -4 .2149E-02 -1.2534E 0 0 - 4 . 2 4 1 5 f - 0 2 -1.2d97E 0 0 -4.2590E-SZ -1.3185E 00 -4 .2807E-02 - 1 . j b Z L t 0 0

-1 5.*590E-04 3 .2643E-04 2 .1983E-04 1.1923E-Ok

LOC.0

Y I J I 0.000OE-39 4 .27L5F-08 8.7079E-03

TAU =

X I J I 1 .0054E 00 l . C l 8 8 E 00 L.0345E 00 1 .0503E 00 1.0b42E 00 1.0781E 0 0 1 . 0 9 2 7 € 30 1 .1055E 0 0 1.1148E 00

50 .00

Y I J I 1.332!€-07

TAU = 75.00

X I J I V I J I

TAU = 100.0

X I J I Y I J I

TAU =

X l J I Z I J I 0.0111 0 .0935 0 .2475 0 .5106 0 .9128

1 . 0 0 5 4 t 00 6 .7b96E-08 1.0188E 00 3 . 7 4 4 9 f - 0 7 1.0345E 00 1 .0095E-06 1.0503E 00 2 . 1 2 7 4 E - 0 6 1.0b42E 00 3 . U 9 0 3 t - 0 6 1.078:E 00 7.;853E-06 1 .0927E 00 1 .6319E-05 1.1C55E 00 3 .8b07E-04

1.0054E 00 t.2291:-08 1.0188E 00 2.17.12E-07 1.0345~ 00 5 . 9 7 4 4 ~ 4 7

1.0054E 00 I . O l 8 8 E 0 0 1.0345E CO

7 .4627E-01 Z.OL59E-Ob 4.2644E-Ob

. . .~ ~ ~ . . ~ . 1.0503E 00 1.2374E-06 1 .b713E-07

2 . 9 7 l b f - 0 7 1 5 .399LE-07 .I ALOE-06

7.04 b 5 F - 0 b 1 . 4 8 A I f - 0 5 3 .5611E-05 5 . 1 3 l l E - 0 3 3 .9590E-01

1.0642E 0 0 2.2bIOC-Ob 1 . 0 7 b l E GO 4 .226bE-06 1.G921E EO 9. ’ tObbf-Ob

1.0642: 00 1.0781E 30 i . 0 9 2 7 E 00

1 .6574 3.4925 9 .2178

48.0334

.~~~ 1 . 1 0 5 5 ~ 00 5.1248;-05 1 .1148 f 00 1 .3993E-01

3.5997:-06 1.7479E-0: 1 . l l 4 8 E 00 2 .3537E-01

N I L P H A I Y I B f T I l N J ALPHA141 B E T P I N J A L P H d I N J B L T Q I Y J ALPHA1 N l OE r A I V I

0 1 .0557E 00 2.U825E-03 1 .0557F 00 1 .b543E-03 1.C557E 00 9 .7953E-04 1.0557E 0 0 1 .2230E-04 1 - 4 . 2 9 3 9 E - 0 2 -1 .3952E 00 -4 .3135E-02 - 1 . s i O Z f 00 -4.32+5:-02 - l . . r d i4 : 0 0 - 4 . 3 j B Y E - 0 2 -1 . j 235E 00

-1 7 .8033E-05 3.9:ORE-05 ~ . ~ n 7 1 ~ - 0 5 2 . 8 6 8 2 E - g t

TAU = 226 .9

U I J I Z I J I H l J l 1 .67b8E-02 1.1054E-02 3.1237E-02 8.5547E-02 9 .3550E-02 7.8757E-02 1 .9838E-01 2 .4748E-01 1 .4267E-01

Z I J I X I J I Y I J I 0 . 0 1 7 1 1 .0054E 00 4.3941E-08 0.C935 1.0188E 00 1 .5373E-08 0 . 2 4 7 5 1.0345E 0 0 4.1717C-08 0.5106 1 . 0 5 0 3 ~ o o ~ . ~ o ; ~ c - G B

1.6574 1 . 0 7 8 1 ~ 00 3 . 0 0 ~ ~ ~ - 0 7 0 .9128 1.0642.6 00 1 . 6 0 9 3 f - 0 7

3.4925 1 . 0 9 2 I E 00 6 .6923F-C7 9 .2178 1 .1055E 00 2.5506F-Ob

4 8 . 0 3 3 4 1.1148E 00 9 .9970C-03

3 .38011-01 5 .1059E-01 2.3480E-01 4.7721E-01 9.1280E-01 3.0771E-01 b .23691-01 1.651kE 00 l . 2 4 2 l E - 0 1 7 . 7 7 k l E - 0 1 3.4925E 00 5.1584E-02 9.0213E-01 9.2178E 00 2.1997E-02 9 .1961E-01 k .8033E 01 b.9770E-03

N A L P H A I U I B E l A l h l l

0 1.1557E 00 6 .9145E-05 1 -4 .3398E-02 -1.5261E 00

-1 1 .701bE-06

TAU = 0.100

X I J I V I J I

TAU = 0.200 TAU * 0.300 OMEGA - 0.30

TAU = 0.050

Z l J l 0.0171 0.0935 0.2475 0.5106 0 .9128 1.6514 3.4925 9 .2118

48.0334

N -1 0 1

Z I J I 0.0111 0.0935 0 .2475 0 . 5 1 0 6 0 .9128 1.657L 3.4925 9 .2178

48.0334

N -1

0 I

Z I J I 0.0111 0.0935 0.2475 0 . 5 1 0 6 0.9128 1 .6514 3.4925 9 .2118

48.0334

N - I 0 1

X l J l V I J I X l J l V I J I 1.0080E 00 2.992ZE-03 1.0267E 00 1.3614E-01 1.0395E 00 4 .79541-01 1 .06581 00 1 .1836E-01 1.0488E 00 8.50082-01 1.0508E 00 9.3592E-01 1.0521E 00 9.9583E-01 1 .0528E 00 1.0311E 00

X I J I V l J l 1.0081E 00 2 .32371-03 1 . 0 2 ~ 0 ~ 00 5 . 5 7 8 5 ~ - 0 2

1 .0077E 00 5 ,882bE-02 1.0161E 00 6 .0104E-01 L.OI85E 00 8 . 3 5 0 5 1 - 0 1 1.01931 00 9 .2576E-01 1 .0196E 00 9.bbZOE-01 1 .0199E 00 9 .900bE-01 1.0200E 00 1 .0051E 00 I.OZO1E 00 I.Ol4bE 00 l.OZO1E 00 1 .0191E 00

1.OOBOE 00 1.0644E-03 1 .0222E 00 3 .b213E-01 I . 0 2 8 2 E 00 6 .9402E-01 1.0454~ 00 3 . s z s a ~ - o i

1.05548 00 6 .0449E-01 1.06081 00 7 .7655E-01

1.0306E 00 8 .51798-01 1.03171 00 9 .2738E-01 1.0323E 00 9.7348E-01 1.0328E 00 1 .0044E 00 1 . 0 3 3 0 E 00 1 .0222E 00

1.0642E 00 8.9611E-01 ?.0665E 00 9.8298E-01 1.0619E 00 1 . 0 3 5 4 1 00

1.0532E 00 1.0490E 00 1.Ob86E 00 1 .0623E 00

A L P H A I N I B E T A I N I 1.9382E 00

I . O I 8 8 E 00 8 .87331-01 - 4 . l b 9 1 E - 0 4 -4 .6831E-02

A L P H A I N I B E T A I N 1 1.5127E 00

1 . 0 2 9 6 ~ 00 a.1558~-01 - I . 27541-03 -a. 9 3 4 1 E-02

A L P H A l N l B E T A I N 1 1 . l O l O E 00

1 .0443E 00 7.0116E-01 -3 .7058E-03 -1.6524E-01

A L P H A I N I B E T A I N 1 a .6701~-01

1.054OE 00 b .2502E-01 -6 .59868-03 -2.3175E-01

T4U = 0.400 TAU = 0.500 TAU - 0.600

X l J l Y I J I 1 .0081E 00 1 .3649E-03 I .OZ88E 00 1.0428E-02 1.0518E 00 1 . l b 2 6 E - 0 1 1.0699E 00 3 .59601-01 1.0813E 00 5.85YkE-01 1 .08948 00 7.7703E-01 1 .0953E 00 9 .3299E-01 I .C989E 00 1.0341E 00 1.IOOBE 00 l . 0 8 8 1 E 00

TAU - 0.800

X l J l Y l J l L.OOB2E 00 1 .0331E-03

X I J I Y I J I 1.0081E 00 1 .5951E-03 1.0287E 00 1 . 5 2 O l E - 0 2 1.0506E 00 1 .6339E-01 1.ObbbE 00 4 .27326-01 L.0761E 00 b . 4 4 2 l E - 0 1 1.0821E 00 8.1601E-01 1.0874E 00 9 . 5 0 8 4 E - 0 1 1.0903E 00 l e O 3 b Z E 00

X I J I V I J I 1.0081E 00 1 . 0 9 R R E - 0 3 1 .0285E 00 2 .6470E-02 1.0487E 00 2 .3211E-01 1.ObZOE 00 5 . O B Z b E - 0 1 I.Ob95E 00 7 .0774E-01 1 .0745E 00 8 .5585E-01 1.0780E 00 9.67bYE-01 1.0801E 00 1 .0368E 00

1.0289E 00 6 .b968E-03 1 .0529E 00 6.1374E-02 1 .0740E 00 2 .5418E-01 1 .0885E 00 4 .8312E-01 1.0994E 00 7 ,0257E-01 I . 1017E 00 8 .95481-01 l.1128E 00 1 .OZb lE 00 L.1156E 00 1.0984E 00 1.0812E 00 1 . 0 7 2 1 E 00 1 .0918E 00 1 .0812E 00

A L P H A l N l R F T b l h l l ALPHA I N I BETA I hl I ALPHAINI B E T A I N 1 5.1517E-01

1 .01026 00 4 .5716E-01 -1.5861E-02 -3 .9223E-01

A L P H A I N I B E T A I N 1 3 .9165E-01

1 .0759E 00 3 .8173E-01 -2 .1706E-02 -4 . l bOZE-01

7.L298E-01 I . 0 6 l O E 00 5.5891.E-01

- 9 . 6 7 2 5 F - 0 3 - 2 . 9 0 9 4 E - 0 1

6.0147E-0 1 1.ObbZE 00 5 .0393E-01

-1 .21876-02 - 3 . 4 4 l l E - 0 1

TAU = 1.000 TAU = 1 .500

X I J I Y I J I 1 .00826 00 L . 7 1 0 7 E - 0 4 1 . 0 2 9 1 E 00 2 .8654E-03 1 .0538E 00 1.194OE-02 1 . 0 7 8 5 E 00 1 .9747E-02

TAU = 2.000

X I J I Y I J I I.OO82E 00 2.9681E-04 I . 0 2 9 1 E 00 1.7852E-03 1.0539E 00 6.0988E-03 1.0791E 00 3.7013E-02 1.1009E 00 1 .5063E-01 1.12091 00 3 .6912E-01 I . 1388E 00 6 .7015E-01 1 . 1 5 1 5 E 00 9 .4204E-01 1.15866 00 i . 1 1 4 8 ~ 00

TAU = 2.500

X I J I Y I J I I . 0082E 00 1 .9693E-04

X I J I V I J I I .OO82E 00 8 .0615E-04 1.0290E 00 5 .0251E-03 1.0291E 00 1 .1749E-03

1 1 0 5 3 9 E 00 3 .7558E-03 1.0793E 00 1.8554E-02 1.1018E 00 9 .2889E-02 1.123LE 00 2 . 7 9 6 5 E - 0 1 1.1432E 00 5 .8863E-01 1.15798 00 9 .0010E-01 l . l b b 3 E 00 1.1113E 00

l . 0534E 00 3 .4741E-02 L.0763E 00 1 .8138E-01 1.0931E 00 3 .9868E-01 1 .1063E 00 6 . 3 3 4 8 E - 0 1 l.llb8E 00 8.568bE-01

i i 0 9 S s E 00 2.450qE-01 1.1163E 00 4 . 8 5 2 2 E - 0 1 1 .1311E 00 7 .6095E-01

1.1235E 00 1.016lE 00 1 .12 lOE 00 1 .1055E 00

1.1412E 00 9.8192E-01 I . 1 4 6 6 E 00 I.ll4OE 00

ALPHA1 NI BE T A l N I 7 .5332E-02

l r 0 8 1 5 E 00 1 .Zb24E-01 -5 .1330E-02 -8 .5142E-01

A L P H A I V I B E T A I N I ALPHA I N I BE1 A I N 1 I . 7 9 5 8 E - 0 1

1.0844E 00 2 .2501E-01 -3 .7832E-02 -6 .8211E-01

4 L P H A I N I B E T A l N l 1 .1338E-01

1.0865E 00 1 .6504E-01 -4 .56686-02 -7. lRP2E-01

3.ObZdE-01 1.0796E 00 3.2363E-O?

-2 .1017E-02 - 5 . 4 6 5 7 E - 0 1

Tplu = 3.500 TAU = 3.500

Z I J I X I J I V I J I X I J I V I J I 0.0171 1 .0082E 00 1 .3191E-04 1 .0082E 00 9 .7325E-05

TAU - 4.000 T A U = 4.500

X I J I V I J I X I J 1 V I J I 1 .0082E 00 7.1752E-05 1.0082E 00 5 . 4 3 4 l E - 0 5 1 .0291E 00 4.2103E-04 1.0291E 00 3 .1153E-04

1.0794E 00 3.8185E-03 1 .07941 00 2 .6686E-03 1.1023E 00 2.2892E-02 1.1024E 00 1 .4746E-02 1.1252E 00 1.ZO28E-01 1.1254E 00 9 .0696E-02 1.1485E 00 3.9249E-01 1.1491E 00 3 .4205E-01 1 .16b8E 00 1 .7597E-01 l.lb81E 00 7 .3704E-01 1 .1179E 00 1.0891E 00 1.17988 00 1.08OOE 00

1.0540E 00 1 .2708~-03 1 .0540~ 00 9 . 4 a o 8 ~ - 0 4 0.0935 0.2415 0.51Cb 0.912P 1.6576 3.4925 9 . 2 1 7 8

48.0334

1.0291E 00 8.Obb3E-04 1.0540E 00 2.5080E-03 1.0794E 00 1.OllbE-02 1.1021E 00 5 . 7 6 4 l E - 0 2 1 .1243E 00 2 .1135E-01 i . 1 4 5 8 E 00 5 .1512E-01 l . l b 2 l E 00 8 .5709E-01 I r l l l b E 00 1 .1053E 00

1.0291E 00 5.7381E-04 1.0540E 00 1 .1544E-03 1.0794E 00 6.OZOLE-03 1.1023E 00 3 .b lOZE-02 1 .1249E 00 1 .5950E-01 1.1475E 00 4 .4993E-01 1 . l b 4 8 E 00 8 .16348-01 1.1752E 00 1 .0917E 00

N A L P H A I Y I RETAIN1 A L P H l I N 1 BETA I N 1 A L P H A l N l B E T A I N I A L P H 4 I N I B E T A I N 1 2.0880E-02

0 1.08BOE 00 9 .9957E-02 1 .0883E 00 8 .1467E-02 1.0885E 00 6.8033E-02 1.0886E 00 5 .1989E-02 I -5 .5412E-02 -9 .0782E-01 -5.8554E-02 -9 .5311E-01 -6.0894E-02 -9.9046E-01 -6.2705E-02 -1.022OE 00

2.7545E-02 -1 5.21 14E-02 3.7324 E-0 2

77

OMEGA - 0.30 TAU = 5 . 0 0 0

Y I J I 5.1420E-05

TAU =

X I J I I .OO82E 00

7.500 TAU =

X l i l 1.0082E 00

10.00

Y I J I 7 .8695E-06 4 .4794E-05 I . 2 6 2 4 E - 0 4 2 .8799E-04 6 .3812E-04 4 .6322E-03 7 .3854E-02 4.1124E-01 9 . 7 0 5 2 E - 0 1

TAU - 15.00

Y I J I 2.9782E-06 1 .7423E-05

L I J I X I J I 0.0171 l.OO82E 00

Y l J l 1.5814E-05

X I J I 1 .0082E 00

0.0935 1.0291E 00 0 .2475 1.0540E 00 0 . 5 1 0 6 1 .0794E 00 0 .9128 1.1024E 00 1.6574 1 .1255E 00 3.4925 1 .1496E 00

2 .4541E-04 7 .2589E-04 1 . 9 3 3 6 1 - 0 3 9 .6854E-03 6 . 8 4 1 0 8 - 0 2 2 . 9 7 9 0 E - 0 1

1 .0291E 00 1.054OE 00 I . 0 7 9 4 E 00 1.1024E 00 1 . 1 2 5 7 8 00 1.1504E 00 1.1715E 00 1.1852E 00

8.9862E-05 2 . 5 7 4 6 1 - 0 4 6 .1103E-04 1 .7673E-03 1 .7058E-02 1 . 4 8 5 0 E - 0 1

1 .0291E 00 1.0540E 00 1.0794E 00 l . l O 2 4 E 00 1.1257E 00 1.1506E 00

~ ~~ ~~ ~~

1.0291E 00 1.0540E 00 L.0794E 00 I . 1 0 2 4 E 00 1.1257E 00 1.1507E 00 1.1727E 00

4 . 8 3 7 8 E - 0 5 1 .0694E-04 2 . 1 1 6 4 E - 0 4 6 1 3 6 1 9 1 - 0 4 l r 8 4 2 7 E - 0 2 2 .4031E-01 9 .2178 1.1691E 00

48.0334 l . 1 8 1 3 E 00 6 .9970E-01 1 .0704E 00

5.3723E-01 1 .0204E 00 l . 1 8 8 i E 00 8 . 7 6 1 7 E - 0 1

N -1 1.62LOE-02 6 . 0 3 2 4 E - 0 3 3 .0329E-03 1 . 1 8 9 1 E - 0 3 0 1.01187E 00 5 .0286E-02 1.0889E 00 2.9449E-02 1 .0889E 00 2 . 0 4 8 8 E - 0 2 1 . 0 8 8 9 1 00 1 . 2 5 2 7 E - 0 2 1 -6 .4135E-02 - 1 . 0 4 9 0 E 00 -6 .8219E-02 -1 .1447E 00 - 7 . 0 1 0 4 E - 0 2 -1 .2059E 00 - 7 . 1 8 7 8 E - 0 2 -1 .2855E 00

A L P H A l N l B E T A I N I A L P H I I N I BETA1 N I ALPHA1 N I BETA I N I A L P H A I N I B E T I I N 1

TAU = 40.00 TAU = 20.00 T4U = 25.00 TAU - 30.00

Z I J I 0.0171 0.0935 0 . 2 4 7 5 0.5106 0 . 9 1 2 8 1 . 6 5 7 4 3 .4975

X I J I Y I J I 1 . 0 0 8 2 E 00 1 . 6 0 9 0 8 - 0 6

X I J I Y I J I 1 .0082E 00 0.0000E-39

X ( J I Y I J I 1.0082E 00 6 . 7 2 7 8 E - 0 7 1 .0291E 00 3 . 6 9 9 0 E - 0 6 1.0540E 00 l . O l 3 8 E - 0 5 1 .0794E 00 2 . l t l b l E - 0 5 l . l O 2 4 E 00 4.1245E-05 1 .1257E 00 8.1892E-05 1.1507E 00 4 .5871E-04 1 .1729E 00 4 .7798E-02 1.1891E 00 6 . 4 2 3 8 E - 0 1

X I J I Y I J I 1.0082E 00 3 . 5 6 7 5 E - 0 7 L.0291E 00 2 . 0 0 2 7 E - 0 6 1 .0291E 00 9 . 0 9 0 2 E - 0 6

1.054OE 00 2 .5071E-05 1 .0794E 00 5 .4702E-05 1.1024E 00 1 .0540E-04 1 .1257E 00 2 .2935E-04 1.1507E 00 4 .7689E-03 1 .1728E 00 1 . 4 0 2 7 E - 0 1

1.0291E 00 5 . 5 4 1 0 E - 0 6 1 .0540E 00 1 . 5 2 0 4 E - 0 5 1.0794E 00 3 . 2 9 2 6 E - 0 5

1.0540E 00 5 . 4 6 9 5 E - 0 6 1.0794E 00 1 . 1 7 2 1 E - 0 5 1.1024E 00 2 . 1 8 8 5 E - 0 5

l . l Z 5 7 E 00 1 . 2 7 1 7 E - 0 4 1.1507E 00 l . 3 5 0 1 E - 0 3 1 .1729E 00 8 . 1 8 6 4 E - 0 2

1 . 1 2 5 7 1 00 4 . 2 4 5 7 E - 0 5 1.1507E 00 1 . 1 9 2 9 E - 0 4 1.1729E 00 1 .6343E-G2 1 .1893E 00 5 . 2 L 9 4 E - 0 1

.. . 9 . 2 1 7 8

48.0334 1.1887E 00 7 . 9 0 2 7 E - 0 1 1 - 1 8 9 0 E 00 7 . 1 2 5 6 E - 0 1

N -1 6.2288E-04 3 . 7 8 0 1 E - 0 4 2.5443E-04 1 . 3 8 0 2 E - 0 4 0 1 .0889E 00 8 .9233E-03 1 .0889E 00 6 . 8 8 7 3 E - 0 3 1 .0889E 00 5 .5867E-03 1.0889E 00 4 .0230E-03 1 - 7 . 2 7 2 5 E - 0 2 - 1 . 3 3 8 2 E 00 -7 .3220E-02 - 1 . 3 7 7 3 E 00 -7 .3545E-02 -1 .4083E 00 -7 .3946E-02 -1 .4556E O C

4 L P H 4 l N I BETA I h l A L P H A I N I B E T A I N 1 ALPHA1 N I BETA I N I A L P H 4 l N l B E T A I N I

TAU = 200.0 TAU = 50.00 T4U = 75.00 TAU = 100.0

Z I J I X l J I Y I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I 0.0171 1.0082E 00 5 . 9 7 8 7 E - 0 7 1 .0082E 00 1 . 1 6 1 1 E - 0 7 1 .0082E 00 0 .000OE-39 1.0082E 00 0.0000E-39 0.0935 1 .0291E 00 1 . 2 9 8 7 E - 0 6 1 .0291E 00 6 . 5 1 1 0 E - 0 7 1 .0291E 00 3 .8850E-07 1.0291E 00 4 .7412E-08 0 .2475 l.OS4OE 00 3 . 5 4 2 7 E - 0 6 1.0540E 00 1 . 7 7 0 3 E - 0 6 1 .0540E 00 1.0387E-06 1.0540E 00 1 . 2 8 6 l E - 0 7 0 .5106 1 .0794E 00 7 .5626E-06 I . 0 7 9 4 E 00 3 . 7 6 3 6 E - 0 6 1 .0794E 00 2 . 1 9 7 3 E - 0 6 I . 0 7 9 4 E 00 2 .13LOE-07 0 . 9 1 2 8 1. lO24E 00 1 . 4 0 2 8 E - 0 5 1.1024E 00 6 . 9 3 6 9 E - 0 6 1 .1024E 00 4 .0394E-06 1.1024E 00 5 . 0 2 7 7 E - 0 7 1 . 6 5 7 4 1 .1257E 00 2 .6835E-05 1 .1257E 00 1 . 3 0 9 5 E - 0 5 1.1257E 00 7 .6038E-06 1.1257E 00 9 . 4 7 0 1 E - 0 7 3 . 4 9 2 5 1 .1507E 00 6 . 4 2 7 2 E - 0 5 1 .1507E 00 2 .9584E-05 1 .1507E 00 1 .7056E-05 1.1507E 00 2 . 1 2 3 6 E - 0 6 9 .2178 1 . 1 7 2 9 E 0 0 5 . 6 3 7 7 E - 0 3 1 .1729E 00 4 . 5 7 2 6 E - 0 4 1 . 1 7 2 9 8 00 7.7232E-05 1.1729E 00 6 .5544E-06

48.0334 1.1894E 00 4 . 2 4 0 2 E - 0 1 1.1894E 00 2 . 5 2 1 8 E - 0 1 1 .1895E 00 1 . 4 9 9 7 E - 0 1 1.1895E 00 1 . 8 7 5 7 E - 0 2

N 4 L P H A I N I B E T 4 l N I ALPHA IN1 BETA I h I A L P H 4 l N I B E T A I N 1 ALPHA1 N 1 R F T A I N 1 .. -1 9.0443E-05 4 . 4 9 9 1 E - 0 5 2 .6089E-05 3 . 2 5 1 7 E - 0 6 0 1 .0889E 00 3 .0958E-03 1 .0889E 00 1 .776OE-03 I . 0 8 8 9 E 00 I . 0 5 1 8 E - 0 3 1.0889E 00 1 .3148E-04 I - 7 . 6 1 9 1 E - 0 2 - 1 . 4 9 0 9 E 00 -7 .4550E-02 -1 .5499E 00 - 7 . 4 7 5 4 E - 0 2 -1 .5b45E 00 - 7 . 5 0 1 9 E - 0 2 -1 .6287E 00

TAU = 230.3

Z I J I X I J I Y I J I U I J I Z l J l HIJI 1.6768E-02 l 1 7 0 5 k E - 0 2 3 .1237E-02

1 .9838E-01 2 . 6 7 5 8 1 - 0 1 1 .6267E-01 3 .3801E-01 5 .1059E-01 2 .3+80E-01 4.772LE-01 9.1280E-01 3 .0771E-01 6 .2369E-01 1.6576E 00 1.2427E-01 7 .7741E-01 3 .4925E 00 5 .1586E-02 9 . 0 2 1 3 E - 0 1 9 .2178E 00 2 .1997E-02 9 .7961E-01 4 . 1 0 3 3 E 01 6.9710E-03

8 . 5 5 6 r ~ - o z 9.3550E-02 7 . 8 7 5 7 ~ - 0 2 0.0171 1.0082E 00 1 . 3 8 4 7 E - 0 7 0.0935 1.0291E 00 2 . 4 3 7 8 E - 0 8 0.2475 1 .0540E 00 6 . 7 6 9 8 E - 0 8 0 .5106 1 .0794E 00 1.4464E-07 0.9128 1 .1024E 00 2 .6693E-07 1 .6574 1 .1257E 00 5 . 0 3 4 5 E - 0 7 3 . 4 9 2 5 1 .1507E 00 1 . 1 2 9 9 E - 0 6 9 . 2 1 7 8 1 .1729E 00 3 . 4 8 8 8 E - 0 6

48.0334 1.1895E 00 9 . 9 8 7 3 E - 0 3

N A L P H A l N l B E T A I N I -I 1.9831E-06 0 1 . 0 8 8 9 8 00 7 . 0 0 1 1 E - 0 5 1 -7 .5037E-02 - 1 . 6 3 1 7 E 00

78

TAU = 0.100 TAU = 0.200 1 4 U = 0.300 OMEGA = 0.50

T4U = 0.050

Z I J I 0.0171 0 .0935 0 .2415 0 .5106 0.9128 1.6514 3.4925 9 .2118

40.0334

N -1 0 I

Z l J l 0.0111 0 .0935 0 .2415 0 .5106 0.9128 1 .6514 3.4925 9 .2118

48.03 34

N -1

0 1

1 I J I 0.0171 0 .0935 0 . 2 4 1 5 0 .5106 0 .9128 1 . 6 5 1 4 3.4925 9 .2118

48.0334

N -1 0 1

X I J I Y I J I 1.0103E 00 6 .07318-02 1.0211E 00 6 .0622E-01 1.0248E 00 8 .41228-01 1.0259E 00 9.323OE-01 1 .0264E 00 9 .1290E-01 1.0267E 00 9 .9685E-01 1.0269E 00 1 .O lZbE 00 1.0210E 00 1 .0215E 00 l .021OE 00 1.0260E 00

X l J l Y l J l 1 . 0 1 0 l E 00 8 .56081-03 1 .0299E 00 3 .6813E-01 I.0380E 00 1 . 0 3 3 0 E - 0 1 1 .0413E 00 8 .62208-01 1 . 0 4 2 8 E 00 9 .38308-01 1 . 0 4 3 1 1 00 9 .8412E-01 1.0443E 00 I . 0 1 5 8 E 00

X I J I V I J I 1 .0109E 00 4.0962E-03

X l J l Y I J I 1.0109E 00 3.2154E-03

i . o i 6 3 E 00 i . s r s Z E - o i 1.0531E 00 4 .91861-01 1.0623E 00 1 . 3 3 l l E - 0 1 1.0665E 00 8 .b lO6E-01 1 .0691E 00 9 .5390E-01 1.0109E 00 1.0145E 00

1 . 0 3 i z E 00 b.ibo3E-05 1 . 0 6 2 l E 00 3 .457kE-01 1.0159E 00 6 .2272E-01 1.0833E 00 1 .9753E-01 l.OB8OE 00 9 . 1 9 0 l E - 0 1 1.0912E 00 1.0073E 00

1.0k46E 00 1 .0331E 00 1.0448E 00 1 . 0 4 2 l E 00

1.0119E 00 1.0502E 00 1.0124E 00 l.Ob82E 00

1.0931E 00 1 .0605E 00 1.0941E 00 1.0018E 00

4 L P H 4 l V l 8 E T 4 l N I 1.9555E 00

1.0252E 00 8.9367E-01 -5 .605 lE -04 -4 .7015E-02

4 L P H A l N l B E T A I N I 1 .5358E 00

I.OkOOE 00 8 .2560E-01 -1.1258E-03 - 8 . 9 9 k l E - 0 2

4 L P H A I N I B E T 4 1 4 1 1.1302E 00

l r O b O 3 E 00 1 . 2 2 0 l E - 0 1 -5.066kE-03 -1 .6115E-01

4 L P H 4 l N l B E T A l N l 0 .98761-01

1.0140E 00 6.4299E-01 -9.1005E-03 -2 .3539E-01

T4U = 0.400

X I J I Y I J I 1.0110E 00 2 .6511E-03 1.0390E 00 3 . 1 4 1 l E - 0 2 1 .0669E 00 2 . 4 5 0 5 E - 0 1 1.0854E 00 5 .2796E-01 1.0958E 00 7 . 3 1 6 2 1 - 0 1 1 . 1 0 2 l E 00 8 .8262E-01 1 .1016E 00 9 .9655E-01 1.1105E 00 I .0669E 00 l .112OE 00 1 .1035E 00

T4U = 0.500

X l J l Y l J l 1.OLLOE 00 2 .2463E-03

T4U - 0.600 X I J I Y I J I

1.0110E 00 1 .9362E-03

TAU - 0.800 X I J I Y I J I

1 .011 IE 00 1 .4062E-03 1 .0393E 00 1 .9437E-02 1 .0690E 00 1 .1561E-01 1 . 0 9 2 l E 00 4 .4161E-01 1 .1054E 00 6 .1001E-01 I . l l 4 6 E 00 8 . 4 5 1 2 E - 0 1

1.0395E 00 I .4103E-02 1 .0115E 00 1.2756E-01 1.0969E 00 3 .1968E-01 1.1130E 00 6 .1286E-01 1.1244E 00 8.09OOE-01 1 .1321E 00 9 . 6 8 8 4 E - 0 1 1 . 1 3 7 9 1 00 1.0124E 00 I .1405E 00 1.1216E 00

1.0391E 00 9 . 5 5 8 6 E - 0 3 1.0134E 00 7 .0755E-02 1.1032E 00 2 .1399E-01 L.1238E 00 5 .1149E-01 1 .1393E 00 1 . 3 1 4 9 E - 0 1 1.1511E 00 9 . 3 6 2 3 E - 0 1 1.1585E 00 1.01L2E 00 1.L624E 00 1 . I 4 5 0 E 00

oi 1.1252E 00 1 . 0 1 0 l E 00 1.1273E 00 1 .L166E 00

A L P H A I Y I BETPIN1 1.45bOE-01

1.0840E 00 5 .1887E-01 -1 .3443E-02 - 2 1 9 6 5 6 E - 0 1

A L P H A I N I 8 E T A ( h l 6 . 3 4 0 1 E-0 1

1.0916E 0 0 5 .2510E-01 -1 .1895E-02 -3 .5190E-01

A L P H A I N I 8 E T 4 l N l 5 .4185E-01

1.0915E 00 4 . 7 9 0 l F - 0 1 -2 .233 lE -02 -4 .0229E-01

4 L P H 4 l N l R E T 4 l N I 4 .2183E-01

1.1060E 00 4 .OL ILE-01 -3 .0910E-02 - 4 . 9 0 1 9 E - 0 1

T4U = 1.000 T4U = 1.500

X I J I Y I J I

T4U = 2.000

X I J I Y I J I 1.0111E 00 4.492OE-04

TAU = 2.500

X I J I Y I J I 1 . O l l I E 00 3.068OE-OG

X I J I V I J I I . 0111E 00 1 .1145E-03 1.0398E 00 1 .324bE-03 1.0142E 00 4 . 2 4 2 l E - 0 2 1.1061E 00 1 .9082E-01 1.1309E 00 4.26OOE-01 1 .1498E 00 6 .6981E-01 1.1649E 00 9 .0101E-01 1.1145E 00 1.0656E 00 1.1197E 00 1.1518f 00

1 .0111E 00 7 .0522E-04 1.0400E 00 6 .3034E-03 1 .0149E 00 1 .66911-02 L .L lO5E 00 9 .2332E-02 1 .1399E 00 2 .6856E-01 1 .1654E 00 5 .210bE-01 1 .1812E 00 8 .0917E-01 1.202OE 00 1 .0393E 00 1 .2100E 00 L .1761E 00

1.C4OOE 00 2 .1435E-03 1.0152E 00 9 .1923E-03 1.1115E 00 4.5170E-02 1.14358 00 1 . 6 9 2 l E - 0 1 1.1129E 00 4 . 0 1 5 5 E - 0 1

1.OkOlE G O 1.8396E-03 1.0152E 00 5 .8b33E-03 I . 1119E 00 2.4548E-02

1.1991E 00 1 .1918E-01 1.2186E 00 1.0035F 00 1.2292E 00 1.1842E 00

4 L P H A I N l B E T 4 l N I 3 .3405E-01

I . l l l 6 E 00 3 .4566E-01 -3.8840E-02 -5.66ObE-01

A L P H A l N l B E T A I N I 2 .0120E-01

1.1193E 00 2 . 4 4 6 i E - 0 1 -5 .5420E-02 -1 .1211E-01

A L P H A I N I B E T A I N I 1 .2984E-01

1 . l 2 2 8 E 00 1 .8111E-01 -6.1823E-CZ -8.1915E-01

4 L P H A l N l B E T 4 I N l 8 .7821E-02

1.1245E 00 1 .4019E-01 -7 .7019E-02 -0 .9912E-01

T4U =

X I J 1 1.0111E 00 1.OLOlE 00 1.0153E 00 I .1121E 00 1.1456E 00 1.17881 00 1.211LE 00 1.2361E 00 1.2506E 00

3.000 TAU =

X I J I

3.500

V I J I 1 .5564E-04 9 .2292E-04 2 .83418-03 9 . 0 0 2 l E - 0 3 4 .*091E-O2 1 .1913E-01

TAU = G.00G T4U = 4.500

X I J I Y l J l l l J l Y I J I l . 0 1 1 I E 00 1.1511E-06 1.0111E 00 8 .8182E-05 l.OkOLE 00 6.8333E-Ok 1-0401E 00 5.1876E-04 1.0153E 00 2 .014kE-03 1.07538 00 1 .55951-03 1.1121E 00 6 .05191-03 1 - 1 1 2 2 E 00 4 .2885E-03 1.1460E 00 2.8856E-02 1 - 1 4 6 1 E 00 1 .9218E-02 1.1805E 00 1 .3638F-01 1.18OBE 00 1.0380E-01

Z I J I Y l J l 0.0111 0.0935 0 .2415

2 .1606E-04 1.2821E-03 3.995OE-03

1 . 0 1 1 i E 00 1.0401E 00 1.0153E 00 I . 1 1 2 1 E 00 1 .1459E 00 1.1798E 00 1.21+1E 00 1 .2408E 00 1 .2568E 00

0 .5106 0 . 9 1 2 8 1 .6514 3.4925 9 . 2 1 1 8

1 .4302E-02 6.836OE-02 2 . 3 5 0 3 E - 0 1 5 .5875E-01 9 .2126E-01 I .182OE 00

4 .9013E-01 8 .78958-01 1.1163E 00

1.2159E 00 4 .2911E-01 1 . 2 l l i E 00 3 .1515E-01 l . 2 k k I E 00 8 . 3 1 2 O E - 0 1 1.2465E 00 1 .9651E-01 1.2613E 00 I a l 6 8 9 E 00 1 . 2 6 k l E 00 1.1605E 00 48.0334

N 4 L P H A l N I A E T A l N l ALPHA I N I B E T A I N I A L P H A I N I B E T 4 l N I A L P H A I N I D E T A I N 1 -1 5.1645E-02 4.4640E-0 2 3 .3225E-02 2.5351E-02 0 I . 1 2 5 4 E 00 l . l l 6 l E - 0 1 1 .1259E 00 9.12491-02 1 .1263E 00 1 .6308E-02 1.12b5E 00 6 .5055E-02 L -8 .3883E-02 -9.6284E-0: - 0 . 9 0 l k E - 0 2 -1.013lE 00 -9.3064E-02 -1 .0558E 00 -9 .618 lE -02 -1.0913E 00

79

OMEGA - 0.+0 TAU = 5 .000 TAU = 15.00 TAU = 1 0 . 0 0 TAU = 7 .500

L l J l X I J I Y I J I 0.0171 1.0111E 00 6.9760E-05 0.0935 1 .0401E 00 4 . 0 2 1 6 8 - 0 4 0.2475 1 .0753E 00 1.2005E-03 0 .5106 1.1122E 00 3.1673E-03 0 .9128 1 .1461E 00 1 .3067E-02 1 .6574 1 .1810E 00 1 . 9 0 3 7 E - 0 2 3 .4925 1.2179E 00 3 . 2 7 6 4 E - 0 1 9 .2178 1 .2482E 00 7 . 5 7 1 7 E - 0 1

48 .0334 1.2673E 00 1 .1513E 00

X I J I Y I J I 1 . O l l l E 00 2.5684E-05 1.0401E 00 l . 4 8 1 4 E - 0 4 1.07538 00 4 . 2 8 5 3 E - 0 4 1 .1122E 00 1.0266E-03 1 .1462E 00 2.7803E-03 1 .1813E 00 2 . 0 7 7 6 E - 0 2 1 . 2 1 9 4 1 00 1 . 6 5 1 5 E - 0 1 1.2524E 00 5 . 8 3 8 3 E - 0 1 1.2742E 00 1.1004E 00

X I J I Y I J I 1 . O l l l E 00 2.5684E-05 1.0401E 00 l . 4 8 1 4 E - 0 4 1.07538 00 4 . 2 8 5 3 E - 0 4 1 .1122E 00 1.0266E-03 1 .1462E 00 2.7803E-03 1 .1813E 00 2 . 0 7 7 6 E - 0 2 1 . 2 1 9 4 1 00 1 . 6 5 1 5 E - 0 1 1.2524E 00 5 . 8 3 8 3 E - 0 1 1.2742E 00 1.1004E 00

X I J I Y l J I 1 .0111E 00 1 . 2 7 8 5 1 - 0 5 1 .0401E 00 7 .3382E-05 1 .07538 00 2 .0887E-04 1.1122E 00 4 .8160E-04 1.1462E 00 1 .0644E-03 l . 1 8 1 3 E 00 6 . 0 6 0 2 E - 0 3 1 .2197E 00 8 .2906E-02 1 .2538E 00 4.4797E-01 1 . 2 7 7 0 E 00 1 .0478E 00

X I J I Y I J I 1.0111E 00 4 .3157E-06 1.0401E 00 2.8224E-05 1.0753E 00 1 .9124E-05 1.1122E 00 1 .7674E-04 1.1462E 00 3 . 5 3 2 5 8 - 0 4 1.1813E 00 9 . 8 1 4 1 E - 0 4 1.2198E 00 2 . l l 4 2 E - 0 2 1.2546E 00 2 . 6 2 5 5 E - 0 1 1.2793E 00 9 . 4 7 0 2 E - 0 1

N A L P H A I N I B E T A I N I A L P H A I N I B E T A I N 1 A L P H A l N l B E T A I N 1 A L P H A I N I B E T A I N ) -1 1 . 9 1 6 0 E - 0 2 7 . 3 7 8 2 E - 0 3 3 .6860E-03 1 . 4 2 8 0 E - 0 3 0 1 .1266E 00 5.638OE-02 1 .1269E 00 3 .2791E-02 1.1270E 00 2 .2671E-02 1.1270E 00 1 . 3 7 6 0 E - 0 2 1 - 9 . 8 6 5 9 E - 0 2 - 1 . 1 2 1 8 E 00 - 1 . 0 5 1 9 E - 0 1 -1 .2290E 00 - 1 . 0 9 0 9 E - 0 1 -1 .2972E 00 - 1 . 1 2 1 7 E - 0 1 -1 .3850E 00

TAU = 40.00 TAU = 30.00 TAU = 20.00 TAU = 25.00

Z I J I X I J I Y I J I X l J l Y l J l X I J I Y I J I X I J I Y I J I 0 .0171 1 .0111E 00 2 . 5 6 3 6 E - 0 6 1 . 0 1 1 1 E 00 1 . 9 8 7 3 E - 0 6 1 . 0 1 1 l E 00 3 . 5 7 8 2 E - 0 6 1.0111E 00 4 .9231E-07 0 . 0 9 3 5 1 .0401E 00 1 . 4 6 2 5 E - 0 5 1 .0401E 00 8 . 8 5 7 1 E - 0 6 1.0401E 00 5 .8895E-06 1.0401E 00 3 . L 8 6 4 E - 0 6 0.2415 1.0753E 00 4 .0125E-05 1 .0753E 00 2.4575E-05 1 .0153E 00 1 .6332E-05 1 . 0 7 5 3 1 00 8 . 7 8 4 2 E - 0 6 0 .5106 1 .1122E 00 8 .9764E-05 l . l l 2 2 E 00 5 . 3 1 1 7 E - 0 5 1 .1122E 00 3 .5594E-05 1 . l l 2 2 E 00 1 . 9 0 1 1 E - 0 5 0 . 9 1 2 8 I . 1 4 6 2 E 00 1 . 7 4 b 3 E - 0 4 1 .1462E 00 1 . 0 3 2 4 E - 0 4 1 .1462E 00 6 .7797E-05 1.1462E 00 3 . 5 8 2 1 E - 0 5 1 .6574 1 .1813E 00 3 . 8 0 0 3 E - 0 4 1.1813E 00 Z . l l 6 8 E - 0 4 1 .1813E 00 1 .3596E-04 I . 1 8 1 3 E 00 7 .0178E-05 3 .4925 1.2198E 00 5 . 6 7 1 2 E - 0 3 1.2198E 00 1 . 1 0 9 7 E - 0 3 1.2198E 00 b . 3 6 8 3 E - 0 4 l .2198E 00 1 . 9 1 9 l E - 0 4 9 .2178 1 . 2 5 4 8 8 00 1.536OE-03 1 .2549E 00 8 .9843E-02 1.2549E 00 5 .2580E-02 1.2549E 00 1 . 8 0 9 0 E - 0 2

48.0334 1.28OZE 00 8 . 5 4 6 5 E - 0 1 1 .2807E 00 7 . 7 0 8 6 E - 0 1 l .281OE 00 6 . 9 5 1 0 E - 0 1 1.2813E 00 5 .6496E-03

N A L P H A I N I B E T A I N I A L P H A I N I B E T A l h l A L P H A l N l B E T A I N ) A L P H A l N l B E T A I N 1 -1 7.4358E-04 4 . 5 2 2 9 E - 0 4 3 .0619E-04 l .62BOE-04 0 i.1270~ aa 9 . 7 6 3 3 ~ - 0 3 1 . 1 ~ 7 0 ~ oa 7 . 5 1 7 7 ~ - 0 3 1.1270~ 00 6 . 0 8 8 2 ~ - 0 3 1 . 1 2 7 a ~ 00 4 . 3 7 5 3 ~ 0 3 1 - 1 . 1 3 6 2 E - 0 1 - 1 . 4 4 2 9 E 00 - 1 . 1 4 4 7 E - 0 1 -1 .4857E 00 -1.1503E-01 -1 .5195E 00 - 1 . 1 5 7 1 E - 0 1 -1 .5710E 00

TAU = 200.0 TAU = 100.0 TAU = 50.00 TAU = 75.00

7 I J I X l J l Y I J I X I J I Y I J I X I J I Y I J I X l J l Y I J I . . 0.0171 1.0111E 00 6 . 3 0 8 1 E - 0 7 l + O 1 1 1 E 00 1 . 7 8 5 l E - 0 7 1 .0111E 00 1 . 8 4 5 6 E - 0 7 1.0111E 00 0 . 0 0 0 0 E - 3 9 0.0935 1.0401E 00 2 .0607E-06 1 .0401E 00 l .OZ9CE-06 1 .0401E 00 5 .9815E-07 1.0401E 00 7.5141E-08 0 . 2 4 7 5 1 .0153E 00 5 .6121E-06 1 .07538 00 2 . 8 2 4 2 E - 0 6 1 . 0 7 5 3 E 00 l . 6 4 2 4 E - 0 6 1.0753E 00 2 . 0 5 5 5 E - 0 7 0 . 5 1 0 6 I . 1 1 2 Z E 00 1.iZZBE-05 1.1122E 00 6.063CE-06 1 .112ZE 00 3.5250E-06 l . 1 1 2 2 E 00 4 . 4 0 6 9 E - 0 7 0 . 9 1 2 8 1.1462E 00 2 . 2 8 8 9 E - 0 5 1.1462E 00 1 . 1 2 7 8 E - 0 5 1 . 1 4 b 2 E 00 6 . 5 5 0 9 E - 0 6 l m l 4 6 2 E 00 8 . 1 8 5 7 E - 0 7 1 .6574 1 .1813E 00 4 . 4 2 0 4 E - 0 5 1 .1813E 00 2 . 1 4 8 9 E - 0 5 1 .1813E 00 1 . 2 4 5 9 E - 0 5 1.1813E 00 1 . 5 5 6 2 E - 0 6 3 .4925 l . 2 1 9 8 E 00 1 . 0 6 6 2 E - 0 4 1 .2198E 00 4 . 9 0 5 2 E - 0 5 1 .2198E 00 2 . 8 2 5 1 E - 0 5 1.2198E 00 3 .5248E-06 9 . 2 1 1 8 1 .2549E 00 6 . 3 0 5 9 E - 0 3 1 .2549E 00 5 .5755E-04 1.2549E 00 1 . 1 5 4 0 E - 0 4 1.2549E 00 1 . 0 9 7 8 E - 0 5

48.0334 l . 2 8 1 4 E 00 4.5908E-01 1.2815E 00 2 . 7 3 L 6 E - 0 1 1.2816E 00 1 .6252E-01 1.2816E 00 2 .0362E-02

N A L P H A I N I B E T A I N I A L P H A I N I B E T A l h l ALPHA I N I BE 1 A I N I A L P H A I N I B E T A I N 1 -1 1 . 0 b l Z E - 0 4 3 .0851E-05 3 . 8 1 2 9 E - 0 6 5 . 2 1 5 6 E - 0 5 0 1 .1270E 00 3 . 3 6 3 6 E - 0 3 1.1270E 00 1 . 9 2 8 7 E - 0 3 1 .1270E 00 1 . 1 4 2 6 E - 0 3 1.127OE 00 1 . 4 3 0 1 E - 0 4 1 - 1 . 1 6 1 3 E - 0 1 - 1 . 6 0 9 4 E 00 - 1 . 1 6 7 3 E - 0 1 - 1 . 6 1 3 5 E 00 - 1 . 1 7 0 8 E - 0 1 -1 .7110E 00 - 1 . 1 7 5 3 E - 0 1 -1 .7592E 00

Z I J I 0 . 0 1 7 1 0 . 0 9 3 5 0.2475 0 . 5 1 0 6 0 . 9 1 2 8 1.6574 3 .4925 9 .2178

48.0334

TAU =

X I J I 1 .0111E 00 1.0401~ oa 1.0753E 00 1 .1122E 00 1 .1462E 00 1 .1813E 00 1 .2198E 00 1 . 2 5 4 9 E 00

234.2

Y I J I 1 . 0 3 2 7 E - 0 7 3 . 5 9 6 6 E - 0 8

2 . 1 5 5 7 E - 0 7 4 .0112E-07 7 . 6 3 3 0 E - 0 7 1 . 7 3 0 0 E - 0 6 5 .3899E-06

1 . 0 0 0 9 ~ - 0 7

U I J I L I J I H I J I 1 . 6 7 6 8 8 - 0 2 1 .7054E-02 3 .12371-02 8 .5557E-02 9 .3550E-02 7 .8757E-02 1 . 9 8 3 8 E - 0 1 2.4748E-01 1.4267E-01 3 . 3 8 0 1 1 - 0 1 5 . 1 0 5 9 E - 0 1 2 . 3 4 8 0 E - 0 1 k .7721E-01 9.1280E-01 3 . 0 7 7 1 1 - 0 1 6 .2369E-01 1.657kE 00 1.2427E-01 1 . 7 7 k l E - 0 1 3.4925E 00 5 .1585E-02 9 . 0 2 1 3 E - 0 1 9 . 2 1 1 8 8 00 2.1997E-02

80

1.2816E 00 9 . 9 9 9 0 E - 0 3

N A L P H A I Y I B E T A I N 1 -1 2 . 0 5 9 5 E - 0 6

0 1 .1210E 00 7 . 0 2 6 0 E - 0 5 I - 1 . 1 1 5 6 E - 0 1 - 1 . 7 6 2 7 E 00

OMEGA * 0.50 T A U - 0.050 r 4 u = o.100 T 4 U - 0.200 TAU - 0.300

L I J I 0 .0171 0 .0935 0 .2475 0 .5106 0 .9128 1.6574 3.4925 9.2118

48.0334

X I J I V I J I 1.0130E 00 6 .26701-02 1.0273E 00 6 .1148E-01 1.0312E 00 8 .47508-01 1.0326E 00 9 .3894E-01 1.0332E 00 9 . 7 9 7 1 8 - 0 1 1.0336E 00 1 .0038E 00 1.0338E 00 I .0196E 00 1.0340E 00 1.0285E 00 1.0340E 00 1 .0330E 00

X l J l V I J I 1 .0135E 00 1.0104E-02 1 .0319E 00 3.7552E-01 1 .04828 00 7 . 1 2 8 3 8 - 0 1 1.0523E 00 8 .7288E-01 1 .0542E 00 9 .4952E-01 1 .0553E 00 9 .9625E-01 1 .0561E 00 1.0276E 00 1.05658 00 1 . 0 6 5 6 1 00 1 .05671 00 1 . 0 5 4 6 1 00

X I J l V I J I 1 .0138E 00 5 .26128-03 . . ~ . . ~ ~ 1.0462E 00 1.4984E-01 1.0685E 00 5.0476E-01 1 .01951 00 7 .49881-01 1 .0849E 00 8 - 8 4 8 1 8 - 0 1 1.08831 00 9 . 7 2 6 l E - 0 1 1 . 0 9 0 6 1 00 1.0340E 00 1.0919E 00 1.0100E 00 1.0925E 00 1 .08838 00

11.11 V I J I

L.1199E 00 1.0870E 00 1.121LE 00 1 . l l 4 7 E 00

N A L P H A I N I B E T A I N 1 A L P H 4 l Y l B E T I I N 1 A L P H 4 l N I BETA I N I 4 L P n 4 l N l B E l b l N I -1 I . 9 1 3 1 E 00 1 .5596E 00 1.1608E 00 9 .3255E-01 0 l . 0 3 1 8 E 00 9 .0012E-01 1.0506E 00 8 .3588E-01 1.0770E 00 1 .3765E-01 1.0951E 00 6 .6205E-01 1 -7 .0670E-04 -4.7201E-02 -2.1898E-03 - 9 . 0 5 6 l E - 0 2 -6.4968E-03 -1 .6913E-01 -1 .17771-02 -2 .3921E-01

T4U = 0.800 T4U = 0.400 T A U = 0.500 T 4 u = 0.600

Z I J I X I J I V I J I 0.0111 1 .0140E 00 3 .4151E-03 0.0935 1.0500E 00 3.6818E-02 0 .2475 1.0862E 00 2 .5904E-01 0 . 5 1 0 6 0.9128 1 .6514 3.4925 9 .2178

4 8 . 0 3 3 4

X I J I V l J l

1.0505E 00 2 .41461-02 1.0903E 00 1 . 8 9 0 3 1 - 0 1 1.1195E 00 4 .6975E-01 1.1311E 00 6 .9803E-01 1.1491E 00 8.78OOE-01 1 .1578E 00 1 .0190E 00 1.163LE 00 l . l O J 1 E 00

1 . 0 1 4 0 ~ oo 2 .91041-03 X l J l Y l J l

1.0141E 00 2 .0118E-03 1.0512E 00 1 .2884E-02 1.0956E 00 8.1508E-02 1 .13531 00 2 .9572E-01 l . 1628E 00 5.4211E-01 1.1835E 00 1 . 1 6 5 8 E - 0 1 1.1994E 00 9 .8115E-01 1.2093E 00 1.1209E 00

N 4LPH4I N l BET4 I N I 4.5604E-01

4 L P H A I N I 8 E 1 4 I N I 4 L P H 4 l N I B E T 4 l N l 4LPH4lVl B E 1 4 l N l -1 1 . 8 0 8 3 E - 0 1 6 . 6 9 1 7 E - 0 1 5 .8340E-01 0 1.100bE 00 6 .0031E-01 1.1189E 00 5 .401bE-01 1.1212E 00 5 .0321E-01 1.1392E 00 4 .2929E-01 I -1 .1540E-02 -3 .0254E-01 -2 .3522E-02 -3 .6027E-01 -2.9560E-02 -4 .1320E-01 -4 .1406E-02 -5 .0105E-01

TAU = 1.000 T4U = L.500 T 4 U = 2.000 T4U = 2.500

Z l J l X I J I V I J I X I J I Y I J I X I J I V I J I X I J I V I J I 0 .0171 I r O l 4 2 E 00 1 .6123E-03 1.01421 00 9 .9803E-04 1 .0142E 00 6 .5950E-04 1.0142E 00 4 .5508E-04 0.0935 1.0515E 00 1 .0065E-02 1 .0517E 00 6 .1103E-03 1 .0519E 00 3 .9998E-03 1.0519E 00 2 .1419E-03 0.2475 1.0970E 00 5 .1472E-02 1.0982E 00 2 .2615E-02 1.0986E 00 1.3236E-02 1.09888 00 8 .1253E-03 0 .5106 1 .1405E 00 2 .1899E-01 1 .1463E 00 1 .0763E-01 . l . i 4 8 2 E 00 5 .b835E-02 1.1489E 00 3 .2490E-02 0 .9128 1 .1731E 00 4 . 5 7 2 d E - 0 1 1 . 1 8 6 l E 00 2 .9659E-01 1 .1924E 00 1 .9235E-01 1.1949E 00 1 . 2 5 3 9 E - 0 1 1 . 6 5 7 4 1 .1981E 00 7 . 1 1 1 9 1 - 0 1 1 .2219E 00 5 .6334E-01 1.2336E 00 4.4OY6E-01 1.2398E 00 3 .4211E-01 3.4925 1.2191E 00 9.5111E-OL 1 .252 IE 00 8 .6565E-01 1.2712E 00 1 . 1 7 3 2 E - 0 1 1 . 2 8 l t ) E 00 b . 9 2 2 1 E - 0 1 9 .2118 1.2322E 00 1.1215E 00 1.2126E 00 1.1063E 00 1.2919E 00 1.0769E 00 1.3145E 00 1.0399E 00

4 8 . 0 3 3 4 1.2392E 00 I .217OE 00 1.2838E (LO I . 2 4 9 l E 00 1 .3130E 00 1.2667E 00 1 . 3 3 i 9 E 00 1.2142E 00

N -1 3 .6618E-01 2 .2133E-01 1 .5048E-01 1 .0397E-01 0 1.1414E 00 3 .1092E-01 1.1589E 00 2 .6199E-01 l . lb4l .E 00 2 ,0218E-01 1.1672E 00 1 .5115E-01 1 -5 .2584E-02 - 5 . 8 7 8 L E - 0 1 -7 .bb56E-02 -1 .4100E-01 -9.5338E-02 -8.6bZOE-01 - 1 . 0 9 b l E - 0 1 -9 .5110E-01

4 L P H 4 I N I BETALNI A L P H I I N ) B E T 4 l N l 4 L P H P I N I 8 E T 4 1 N I 4 L P H 4 I V I B E T 4 l N l

TAU = 3.000 T4U = 3.500 TAU = 4.000 TAU = 4 . 5 0 0

Z I J I X I J I V l J l X l J l V I J I X I J I V I J I X I J I V I J I 0 . 0 1 7 1 1.0142E 00 3.248OE-04 l . O l 4 2 E 00 2 . 3 6 5 l E - 0 4 1.0142E 00 1 .7930E-04 1.0142E 00 1 .37871-04 0.0935 1.0519E 00 1 .9465E-03 1.0520E 00 1.42241-03 1.0520E 00 1 .0658E-03 1.0520E 00 8 .1674E-04 0 .2475 1.0989E 00 6 . 0 1 8 l E - 0 3 1 .0989E 00 4 . 3 8 6 3 1 4 3 1 .0989E 00 3.2539E-03 1.0990E 00 2.4720E-03 0 .5106 1.1492E 00 2 .0052E-02 1.1493E 00 1.3229E-02 L.1494E 00 9.2136E-03 1.1494E 00 6 .6962E-03 0 .9128 1.1960E 00 8 . 2 4 8 l E - 0 2 1 . 1 9 6 6 1 00 5 .4938E-02 1.1968E 00 3 .7158E-02 1 .1970E 00 2 .5592E-02 1 . 6 5 7 4 1 .2431E 00 2 . 6 5 l b E - 0 1 I . 2 4 5 0 E 00 2.0460E-01 1 . 2 4 6 l E 00 1 .5764E-01 1.2467E 00 1 -2141E-0 . 3.4925 1 .2900E 0 0 6 .130ZE-01 1 .2946E OD 5 .4081E-01 1 .2976E 00 4.1580E-01 I . 2996E 00 4 .17781-01 9 . 2 1 1 8 :.3258E 00 9 .9913E-01 1.3336E 00 9 .56681-01 1.3391E 00 9 .1387E-01 1.3432E 00 8.115OE-01 ~ ~~ ~~

4 8 . 0 3 3 4 1.3469E 00 1 .2151E 00 1.3571E 00 1 .2732E 00 1.3646E 00 l . Z b 8 1 E 00 1.37038 00 1 .2611E 00

N A L P H 4 I N I O E T 4 I N I A L P H 4 I N I B E T A l N l A L P H I I N 1 B E T 4 l N l 4LPHA I N 1 BET4 I h I -1 7.42 71E-02 5 .4559E-02 4.1077E-02 3 .16081-02 0 1 . 1 b 8 l E 00 1,2657E-01 1 . 1 6 9 7 1 00 1.0401E-01 1.1102E 00 8.7234E-02 1.1706E 00 1 - 4 4 7 5 E - 0 2 1 -1 .2054E-01 -1.0290E 00 -1.2897E-01 -1.0d74E 00 -1 .3556E-01 -1.1358E 00 -1 .401 lE -01 -1.1167E 00

81

I I Ill II Ill II l111l1ll1l111lll11l I I I I I I I I I

OWEGA = 0.50 TAU - 15.00 TAU = 10.00 TAU = 5.000 T4U = 7.500

L I J I 0.0171 0 .0935 0.2475 0.5106 0.9128 1 .6574 3.4925 9.2178

48.0334

X I J I Y l J l 1.0142E 00 1.0816E-04 1 .0520E 00 6 .3860E-04 1.0990E 00 1 .9182E-03 1 .1494E 00 5.03301-03 1.1970E 00 1 .7992E-02 1 . 2 4 7 1 1 00 9 .3538E-02 1.3010E 00 3.6628E-01 1.3462E 00 8.3007E-01 1.3747E 00 1.2528E 00

X I J I Y I J I l . O l 4 2 E 00 4.0725E-05 1.0520E 00 2.3771E-01. . . . . . . . 1.0990E 00 6.9472E-04 1.1495E 00 1.6808E-03 1.1971E 00 4 .3648E-03 I . 2 4 7 6 E 00 2 .619 lE -02 1.3037E 00 1.8748E-01 1.3534E 00 6 .4402E-01 1.3866E 00 1 . 2 0 2 I E 00

X I J I Y I J I 1 .0142E 00 2.0211E-05 1 .0520E 00 1.1722E-04 1.0990E 00 3 .3729E-04 1 .1495E 00 7 - 8 7 0 3 1 - 0 4 1.1972E 00 1.7441E-03 1.2477E 00 8.2415E-03 1 .3043E 00 9.5337E-02 1.3557E 00 4 1 9 5 8 7 E - 0 3 1.3915E 00 1 .1468E 00

X I J I Y I J I 1.0142E 00 7.9003E-06 l .Oi2OE 00 4.4504E-05 1.0990E 00 1 .26131-04 1.1495E 00 2 .8512E-04 1.1972E 00 5.7662E-04 l .2*77E 00 1 .5454E-03 1.3045E 00 2 .5016E-02 1.3572E 00 2.91898-01 1.3954E 00 1.0381E 0 0

N 4 L P H 4 l N l B E T 4 1 Y l 4 L P H 4 1 Y I B E T A I N I 4 L P H 4 l N l 8 E T 4 I N I 4 L P H 4 l V l B E T b l N l - I 2.4807E-02 9.3640E-03 4.656OE-03 1 .7828E-03

0 1.1708E 00 6.4563E-02 1 .1113E 00 3 .7336E-02 1 .1715E 00 2.5630E-02 1.1715E 00 1 .5412E-02 1 -1 .4495E-01 -1.2118E 00 -1 .5717E-01 -1.3352E 00 -1 .6284E-01 -1.4128E 00 -1.6811E-01 -1.512OE 00

T4U = 20.00 T4U = 25.00 TAU = 30.00 1 4 U = 40.00

N PLPHPINI B E T ~ I N I A L P H 4 l N l B E T A I N I A L P H A I N I B E T A l h l A L P H b l N l B E T 4 I N I -1 9 .1974E-01 5 .5117E-04 3 .6966E-04 1 .9859E-04 0 1.1716E 00 l.OB8OE-02 1.1716E 00 8 .3512E-03 1.171bE 00 6 .7486E-03 1.1716E 00 4 .8371E-03 1 -1 .7058E-01 -1.5767E 00 -1 .72O lE-01 -1.6244E 00 -1 .7295E-01 -1.6b20E 00 - 1 . 7 4 0 9 E - 0 1 -1.7191E 00

T4U = 50.00 TPU = 15.00 T A U = 100.0 T4U = 200.0

Z I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I 0 .0171 1.0142E 00 5.5238E-07 1.0142E 00 Z . l l 8 8 E - 0 7 1 . 0 1 4 2 E 00 1.64hOF-07 : .014?F on l . n ? > e F - n e ~~. ... .. . ~. .. _ _ ..__ __. "" 0.0935 1.052OE 00 3 .1655E-06 1.052OE 00 1 .5725E-06 1.G526E 00 9 .1435E-07 1.0520E 00 1 .1408E-07 0.2475 1.0990E 00 8 .7988E-06 1 .0990E 00 4 .3601E-06 I . 0 9 9 0 E 00 2 .5352E-06 I . 0990E 00 3 .1705E-07 0.5106 i . 1 4 9 5 E 00 1 .9180E-05 1.1495E 00 9 .4660E-06 1 .1495E O C 5.5015E-06 1.1495E 00 6 .8838E-07 0.9128 1.1972E 00 3 .6287E-05 1 .1972E 00 1 .7793E-05 1.1972E 00 1.033ZE-05 1.1972E 00 1 .2929E-06 1 .6574 1.2477E 00 7 .0885E-05 1.2477E 00 3 .4285E-05 3.2477E 00 1 .9870E-05 1 - 2 4 7 7 E 00 2..t8bZE-O6 3.4925 1.3046E 00 1.7288E-04 1.304bE 00 7 . 9 i 5 7 E - 0 5 1 . 3 0 4 6 t 00 4 .5b16E-05 1.3046E 00 5 .7030E-06 9.2178 1.3578E 00 7 .2351E-03 1 .3578E 00 7 .0752E-04 1.3578E 00 1.7502E-04 1.3578E 00 1 .7968E-05

4 8 . 0 3 3 4 1.3990E 00 5.0447E-01 1.3992E 00 3 .0037E-01 1.3993E 00 1.7882E-01 1.3993E 00 Z.2457E-02

N A L P H 4 I Y I BETAIN1 A L P H A I Y I B E T 4 1 N l 4 L P H 4 l N l B E T I I N 1 4LPH4 I h I BET4 I k I -1 1 . 2 8 i l E - 0 4 6.3636.E-05 3.7100E-05 4 .7176E-06

0 I . 1716E 00 3.7137E-03 1.1716E 00 2 .1280E-03 !.1716E 00 1.26.2E-03 1.1716E 00 1 . 5 8 3 0 ~ - 0 4 1 -1 .7478E-01 -1.7615E '30 -1 .757BE-01 -1.8323E 00 - 1 . 7 6 3 5 t - 0 1 -1.8738E 00 - i . 7 7 0 9 E - 0 1 -1.Y270E 00

TAU = 239.0

Z I J I X l J l Y I J I 0.0171 1.C14ZE 00 0.OCOOE-39 0.0935 1.0520E 00 7 .7658E-08 0.2475 0 .5106 0.9128 1 .6574 3.4925 9.2178 ~ . . . . . . . . ~~ ~

4 8 . 0 3 3 4 1 1 3 9 9 3 E 00 9 .9951E-03

U l J l 1.6768E-02 8.5547E-02 1 .9838E-01 3.3801E-01 4.7721E-01 6 1 2 3 6 9 % - 0 1 7.77411-01 9.0213E-01 9.7961E-01

Z I J I 1.7OS4E-02 9 .3550E-02 2.4148E-01 5.1059E-01 9.128OE-01 1.6574E 00 3.4925E 00 9 .2178E 00 5.8033E 01

H l J l 3.1237E-02 7 - 8 7 5 7 1 - 0 2 1 .4267E-01 2.3480E-01 3.0771E-01 l .ZS27E-01 5.1585E-02 2.19971-02 6.9170E-03

N 4 L P H 4 l V l 8 E T 4 l N I -1 2.1096E-Ob

0 1.1716E 00 7.0478E-05 1 -1 .7715E-01 -1 .931ZE 00

82

TAU = 0.100

X I J I V i J l

TAU - 0.200 TAU I 0.300 OHEGA = 0.60 TAU = 0.050

Z I J I 0.017L 0.0935 0.2475 0.5106 0 .9128 1 .6574 3.4925 9.2178

48.0334

N -I 0 1

L L J I 0.0171 0.0935 0.2415 0 .5106 0 .9128 1 .6574 3.4925 9 .2118

4 8 . 0 3 3 4

N -I 0 1

X I J ) V i J l 1.0157E 00 6 .46428-02 1.0330E 00 6 .1682E-01 1.0317E 00 8 .5387E-01 1.0395E 00 9.4569E-01 I . 0402E 00 9 .8662E-01 l . 0 4 0 6 E 00 1 .0108E 00 1.0409E 00 l . 0 2 6 6 E 00 1.0411E 00 1 .03568 00 1.0411E 00 1 .0401E 00

X i J l V I J I 1 .01678 00 6.49181-03 1 .05651 00 1.5721E-01 1.084OE 00 5.1826E-01 1.09758 00 7.6674E-01 I . 1042E 00 9.0337E-01 1 .1083E 00 9.9230E-01 1 . 1 I I I E 00 1.0543E 00 1.1127E 00 1 .0908E 00 1 .1135E 00 1.10938 00

X i J l V i J l 1.0169E 00 5 .2098E-03 1.0601E 00 7 .452kE-02 1.0983E 00 3 .7468E-01 l . 1 2 0 5 E 00 6 .6266E-01 1.1323E 00 8.4364E-01 1.1399E 00 9.6926E-01 1.1451E 00 1 .0603E 00 1 . 1 ~ 8 2 ~ 00 1.1152E 00

1 . 0 1 6 i E 00 l . l b 9 1 E - 0 2 1.046OE 00 3 .82491-01 1 .0586E 00 7 .2262E-01

1.0659E 00 9 .6103E-01 I . 0 6 1 3 E 00 I .0081E 00 I .0682E 00 1 .03968 00 I .0687E 00 1 . 0 5 7 8 1 00 1 .0689E 00 l . 0 6 6 8 E 00

1 . 0 6 3 6 ~ 00 a.838sE-01

1 .14981 00 1 .1434E 00

A L P H A l N l B E T A i N I 1 .5841E 00

1 .0616E 00 8 .4644E-01 -2.6678E-03 -9.1202E-02

A L P H 4 i N I 8 E T A i N l I . 1 9 2 9 E 00

1.0944E 00 7 .53968-01 -8.0021E-03 -1.712OE-01

A L P H A I N I 8 E T A i N I 9 .68581-01

1.1175E 00 6 .8233E-01 -1 .4b46E-02 -2 .4324E-01

4 L P H A l N l 8 E T A i N I 1.9910E 00

1.0385E 00 9 .06668-01 -8 .5539E-04 -4 .1389E-02

TAU = 0.500 TAU I 0.600 TAU = 0.800

X l J l V I J I 1.0113E 00 2 .6254E-03 1.0636E 00 1 .67701-02 1.1199E 00 9 .3909E-02 I . 1 7 0 8 E 00 3 .2047E-01

TAU - 0.400 X I J I V i J l X I J l V I J I

1 .0111E 00 3.1187E-03 l . 0624E 00 2 .9388E-02 L . I I 2 3 E 00 2.03UZE-01 I . 1 4 9 2 E 00 4 .9400E-01 1.1114E 00 7 .28648-01 1.1866E 00 9 . 1 3 2 I E - 0 1 1.1911E 00 1.0516E 00 1 .2043E 00 1 .1489E 00

X i J I V I J I 1.0172E 00 3.31301-03 1.0629E 00 2.29551-02

1.0110E 00 4 .3198E-03 1.0616E 00 4.2127E-02 I . l O 6 9 E 00 2 .1421E-01 i . 1 3 7 0 E 00 5 . 1 2 0 9 8 - 0 1 1.1541E 00 1 .8496E-01 1.1654E 00 9 .4233E-01 1.1135E 00 1.0609E 00 I . 1 1 8 2 E 00 1.134OE 00

1 1 i O 6 3 E 00 5;;003E-01 1.2329E 00 8 .2066E-01 1.2534E 00 1 .0329E 00 1.2663E 00 1 . 1 7 6 7 1 00 1.2730E 00 1.2552E 00

i . 2273; 00 1.L606E 00 1.2318E 00 1.2186E 00

... ~.~ ~ ~

1 .18OlE 00 1.112OE 00 1.2077E 00 1.19688 00

4 L P H 4 l N I DETAIN1 8 .1891E-01

1.1349E 00 6 .2344E-01 -2 .2001E-02 - 3 . 0 8 9 3 E - 0 i

4 L P H 4 l N l B E T A i N I 4 l P H 4 l N l B E T I I N 1 6 .2298E-01

1.1596E 00 5.2994E-01 -3 .7652E-02 - 4 . 2 5 0 8 E - 0 1

4 . 9 5 0 l E - 0 1 1.17bOE 00 4 .5182E-01

-5 .3452E-02 - 5 . 2 5 0 8 E - 0 1

TAU = 2.500 T4U = 2.000 TAU = 1 .000 TAU = 1.500

I I J I X I J I V I J I 1.0175E 00 1 .3693E-03 1.0645E 00 8 .4099E-03

1 .1811E 00 1 . 2 6 5 0 E - 0 1 I . 2 4 0 1 E 00 3 .3053E-01 1 .2011E 00 6 .13955-01 1.3282E 00 9 .3216E-01 1.3551E 00 1.1856E 00 1 .3108E 00 1 .3359E 00

1 . 1 2 4 1 ~ oo 3 . 0 0 9 8 ~ - 0 2

X I J I Y i J I 1 . 0 1 1 5 1 00 9.2939E-04 1.0647E 00 5 .6170E-03 1.1249E 00 1.8b15E-02 L.1903E 00 1 .11BLF-02 1.2496E 00 2 .2148E-01 1 .3055E 00 4 .8918E-01 1.3510E 00 8.4145E-01 1.3936E 00 1.166OE 00 1.4143E 00 1.36b7E 00

X i J I V i J I 1.0175E 00 6 .5999E-04 0 .0171

0.0935 0 .2415 0 .5106 0.9128 1.6516 3 .4925 9.2118

48.0334

1.0648E 00 3 .9961E-03 1.1252E 00 1 .2102E-02 1.1915E 00 4 . 3 2 6 l E - 0 2 1.2531E 00 1 . 4 9 3 l E - 0 1 1.3154E 00 3 . 8 7 3 4 E - 0 1 1.3151E 00 1 . 6 3 6 6 E - 0 1 1.4194E 00 1 .1350E 00 1.4451E 00 1 .3844E 00 1.3011E 00 1.2845E 00

N A l P n 4 l N I BE T 4 l N I

0 1 . l B l S E 00 4 . 0 0 1 l E - 0 1 1 .2044E 00 2 . 9 6 2 2 5 - 0 1 1.2129E 00 2 .2781E-01 1.2174E 00 1 .804OE-01 1 -6 .8691E-02 - 6 . 1 2 3 l E - 0 1 - 1 . 0 2 6 4 E - 0 1 - 1 . 8 8 5 8 E - 0 1 -1 .3014E-01 -9 .2222E-01 - 1 . 5 1 9 3 E - 0 1 -1 .026 lE 00

A L P n 4 l N l 8 E T 4 l N I 4 L P H 4 l N l U E T 4 l N l 4 . 0 3 6 l E - 0 1 2 . 5 9 3 l E - 0 I 1.1684E-01 1 . 2 5 3 6 E - 0 1

4 1 P H 4 i N I U E T A l N l - 1

l 4 U - 4 . 5 0 0 r4u = 4.000 T4U = 3.000 T4U = 5.500

1 1 1 1 X i J I V I J I X i J I V I J I X l J I V I J ) X I J I V I J I n.0171 I.0,756 " 0 4 . R I L 9 F - 0 4 1.01758 00 3 .6006E-04 1 .0115E 00 2 .16331-04 1.0175E 00 2 .1424E-04

l . O b 4 9 E 00 2 .1618E-03 1 .1255E 00 6 .6931E-03 1.1924E 00 1 .9419E-02 1 .25688 00 1 . O l L l E - 0 2 1 .3242E 00 2 .3879E-01 1 .3944E 00 6 .0671E-01 1 .45028 00 1.0562E 00 1 . 4 9 4 O E 00 1.3964E 00

I . 0 6 4 9 E 00 l . 6 4 6 2 E - 0 3 l . r Z 5 6 E 00 5 .0529E-03 1.1925E 00 1 .3988E-02

0.0935 0.2415 0 .5106 0.9128 1.2573E 00 4.9164E-02

1 . 3 2 6 l E 00 1 .8683E-01 1 .3996E 00 5.3150E-01 1.4595E 00 1.0132E 00 1.4966E 00 1 .3953E 00

1 .6574 3.4925 9 .2118

4 8 . 0 3 3 4

N d L P n A l Y l 8 E T 4 I N ) ALPHA 1 N) BETA I N I A L P H A I N I 8 E T 4 1 9 1 4 L P H A l N l B E T 4 l N l 9.1535E-02 6 . 8 5 0 5 ~ - 0 2 5 .23196-02 4 . 0 8 1 5 ~ - 0 2

0 1.2201E 00 1 .463bE-01 1 . 2 2 l l E 00 l . i l 2 3 E - 0 1 1.2227E 00 1 .0224E-01 1 .22331 00 8.7584E-02 1 -1 .6912E-01 -1.1106E 00 -1 .82738-01 -1.1193E 00 -3.936OE-01 -1 .23661 00 -2 .0235E-01 -1.2853E 00

-1

83

O R E G P 5 0.60 1 4 U = 15.00 TAU - 5.000 TAU = 7.500 TAU = 10.00

L l J l 0.0171 0.0935 0.2475 0 .5106 0 .9128 1 . 6 5 7 4 3 .4925 9 .2178

48.0334

X I J I V I J I 1.0115E 00 1 .6975E-04 1.0649E 00 1.0100E-03 I . 1 2 5 6 E 00 3 .0573E-03 1 .1927E 00 7 .9889E-03 1.2578E 00 2 .5510E-02 1 .3280E 00 1 . 1 4 1 5 E - 0 1 1.4055E 00 4.1863E-Oi 1.4716E 00 9 . 2 6 1 5 E - 0 1 1 .5139E 00 1.3850E 00

X I J I V I J I 1.0175E 00 6.1947E-05 1 . 0 6 5 0 E 00 3 . 8 5 3 3 E - 0 4 1 .1256E 00 1.1385E-03 1 .1928E 00 2.7824E-03 1 .2580E 00 7-OO88E-03 1 .3291E 00 3.4585E-02 1 .4105E 00 2 .1912E-01 1 . 4 8 4 4 1 00 7 . 2 5 4 9 1 - 0 1 1 .5347E 00 1.3373E 00

X I J I V I J I 1.0175E 00 3.24628-05 1 .0650E 00 1.9005E-04 1.1257E 00 5.5344E-04 1 .1928E 00 1.3086E-03

1.5434E 00 1.2794E 00

X I J I Y I J I 1.0175E 00 8.757bE-06 1.0650E 00 7 . 1 2 8 0 8 - 0 5 1.12578 00 2.0440E-04 1.1928E 00 4 .6839E-04 1.2580E 00 9 . 6 0 5 3 E - 0 4 1 . 3 2 9 3 ~ 00 z.sioaE-03 1.4120E 00 3.0974E-02 1.4913E 00 3 . 3 2 8 4 E - 0 1 1.5505E 00 I . 1 6 1 3 E 00

N A L P H A I N I B E T A I N 1 4 L P H 4 l N I BE 1 4 I N I 4 L P H 4 l N I B E T 4 l N l A L P H A I N I B E T A l N l -1 3.2358E-02 I . 2 4 9 2 E - 0 2 6 . 2 1 2 8 E - 0 3 2 .3418E-03 0 1.2238E 00 7 . 6 0 7 3 E - 0 2 I.2247E 0 0 4 .3894E-02 1.2249E 00 2.990t.E-02 1.2251E 00 1 . 7 7 7 4 1 - 0 2 1 - 2 . 0 9 4 8 E - 0 1 - 1 . 3 2 7 2 E 00 - 2 . 3 0 7 7 E - 0 1 - 1 - 4 7 4 2 E 00 -2 .4084E-01 - 1 . 5 6 6 0 E 00 - 2 . 5 0 1 6 E - 0 1 -1 .6817E 00

14U = 40.00 1 4 U = 30.00 TAU = 20.00 T4U = 25.00

Z I J I 0.0171 0.0935 0 . 2 4 7 5 0 . 5 1 0 6 0 . 9 1 2 8 1 .6574 3 . 4 9 2 5

X I J I V I J ) 1.0175E 00 6.2538E-Ob 1.065OE 00 3 .6226E-05 1 .1257E 00 1 . 0 3 1 8 E - 0 4 1.1928E 00 2 .332ZE-04 1 .2580E 00 4 . 6 5 1 6 E - 0 4 1.3293E 00 1 . 0 3 0 5 E - 0 3 1 .4121E 00 9 . 1 4 9 1 8 - 0 3 I . 4 9 2 O E 00 1 . 9 6 3 l E - 0 1 1 . 5 5 3 3 E 00 1 .0502E 00

X I J I Y I J I 1.0175E 00 3 . 7 6 0 b E - 0 6 i i 0 6 5 0 ~ 00 2.1672E-05 1 .1257E 00 6 . 1 4 8 1 E - 0 5 1.1928E 00 1 . 3 7 9 1 E - 0 4 1 .2580E 00 2 . 7 1 2 6 E - 0 4 1 .3293E 00 5.711bE-04 l . 4 1 2 I E 00 3 . 1 7 1 4 E - 0 3 1 .4922E 00 1 . 1 5 6 9 E - 0 1 1 .5547E 00 9 . 4 8 4 1 E - 0 1

X I J I Y I J I 1.0175E 00 5.7454E-07 1 .0650E 00 1 . 4 3 5 0 E - 0 5 1 .1257E 00 4 .0559E-05 1 .1928E 00 9 .0515E-05 1 .2580E 00 1 .765ZE-04

X l J l V I J I 1.0175E 00 1 . 3 3 4 1 E - 0 6 1.0b50E 00 7 . 6 2 2 l E - 0 6 l o l 2 5 7 E 00 2 . 1 4 9 0 E - 0 5 1.1928E 00 4 . 7 6 6 6 E - 0 5 1.2580E 00 9 . 1 9 8 1 E - 0 5 1.3293E 00 1 . 8 4 9 1 E - 0 4 1.4121E 00 5 . 0 1 5 2 E - 0 4 I . 4 9 2 4 E 00 2 . 3 9 6 0 E - 0 2 1.5563E 00 6 . 9 6 5 2 E - 0 1

N 4 L P H 4 l N 1 BET41 N 1 ALPHA1 U ) BE T A l N ) A L P H A I N ) B E T 4 I N I 4 L P H A l h l B E l A l h ) -I 1 . 1 9 8 9 E - 0 3 7 . 1 8 9 4 E - 0 4 4 .7255E-04 2 . 5 3 7 9 E - 0 4

0 I . 2 2 5 1 E 00 I . 2 4 6 1 E - 0 2 1 .2251E 00 9 . 5 2 2 9 E - 0 3 l . 2 2 5 1 E 00 7 .b723E-03 1.2Z51E 00 5 . 4 7 8 7 E - 0 3 1 - 2 . 5 4 4 9 E - 0 1 -1 .7564E 00 - 2 . 5 6 9 7 E - 0 1 - 1 . 8 1 1 1 E 0 0 - 2 . 5 8 5 8 E - 0 1 - 1 . 8 5 4 0 E 00 - 2 . 6 0 5 4 E - 0 1 -1 .9189E 00

T4U I 100.0 T4U = 200.0 14U = 50 .00 T4U = 75 .00

Z I J I X I J I Y I J I X I J ) V I J I X I J I V I J I X I J I V I J I 0 . 0 1 7 1 1 .0175E 00 8 . 4 8 8 9 E - 0 7 1 + 0 1 7 5 E 00 4 . 1 8 9 4 E - 0 7 1 .0175E 00 3 .5116E-07 1.0175E 00 2 . 8 4 2 1 E - 0 8 0 . 0 9 3 5 1 .0650E 00 4 . 8 8 5 i E - 0 6 1 . 0 6 5 0 E 00 2 . 4 1 0 0 E - 0 6 1 .0650E 00 1.4000E-06 1.0650E 00 1 . 1 6 0 7 E - 0 7 0 . 2 4 7 5 1 .1257E 00 1 . 3 7 4 0 E - 0 5 1 .1257E 00 6 . 7 6 3 0 E - 0 6 l r 1 2 5 7 E 00 3 .9299E-06 1.1257E 00 4 . 9 3 8 6 E - 0 7 0 . 5 1 0 6 1.1928E 00 3.0347E-05 1 .1928E 00 1 . 4 8 7 7 E - 0 5 1 .1928E 00 8.64U9E-Ob 1.1928E 00 1 . 0 8 5 6 E - 0 6 0 . 9 1 2 8 1 .2580E 00 5 . 8 1 5 8 E - 0 5 1 .2580E 00 2.8320E-05 1 . i 5 8 0 E 00 1 . 6 4 3 4 E - 0 5 1.258OE 00 2 .0643E-06 1 . 6 5 7 4 1.3293E 00 1 . 1 5 2 3 E - 0 4 1 .3293E 00 5 . 5 3 Z 9 E - 0 5 1 .3293E 00 3 .2044E-05 L.3293E 00 4 . 0 2 3 7 E - 0 6 3.4925 1 . 4 1 2 1 E 00 2 . 8 5 5 0 E - 0 4 1 . 4 1 2 1 E 00 1 . 2 9 9 9 E - 0 4 I . s l 2 1 E 00 7 .4743E-05 1.4121E 00 9 .3758E-Ob 9 . 2 1 7 8 1.49Z4E 00 8 . 6 2 8 3 E - 0 3 1 .4924E 00 9 . 5 1 5 9 E - 0 4 1 .4924E 00 2 .7623E-04 1.4924E 00 2 . 9 9 8 7 E - 0 5

4 8 . 0 3 3 4 1 .5567E 00 5 . 6 6 4 5 E - 0 1 1 .5571E 00 3 1 3 7 6 1 E - 0 1 1.5572E 00 2 . 0 1 1 7 E - 0 1 L.5573E 00 2 . 5 3 5 6 E - 0 2

N 4 L P H 4 1 N I B E T A I N I A L P H A I N ) B E T A I N I 4 L P H A l N I B E l A l h ’ ) 4 L P H A l N l B E T A I N ) -1 1. b 2 8 8 E - 0 4 9 .0462E-05 4 .6988E-05 5 .8749E-06 0 1 .2251E 00 4 .1964E-03 l . 2 Z 5 1 E 00 2 . 4 0 3 4 E - 0 3 1 .2251E 00 1 .4253E-03 1.2251E 00 1 . 7 9 5 3 E - 0 4 I - 2 . 6 1 7 2 E - 0 1 - 1 . 9 6 7 9 E 00 - 2 . 6 3 4 3 E - 0 1 -2 .0471E 00 - 2 . 6 4 3 9 E - 0 i -2.094OE 00 - 2 . 6 5 6 5 E - 0 1 - 2 . 1 5 4 3 6 00

T4U = 244.9

Z I J I X I J I V I J I 0 . 0 1 7 1 1.C175E 00 3 . 1 5 1 2 8 - 0 9 0 . 0 9 3 5 1 .0650E 00 6 . 9 5 3 3 E - 0 8 0 - 2 4 7 5 1 .1257E 00 1 . 9 4 8 5 E - 0 7 0.5106 1 .1928E 00 4 . 2 8 i O E - 0 7 0 . 9 1 2 8 1.258OE 00 8 . 1 4 i 6 E - 0 7 1 . 6 5 7 4 1 .3293E 00 1.5868E-06 3 . 4 9 2 5 1 .4121E 00 3 .6975E-06 9 . 2 1 7 8 1.4924E 00 l . 1 8 2 5 E - 0 5

4 8 . 0 3 3 4 i . 5 5 7 3 E 00 9 .9991E-03

U I J I Z I J I H I J I 1.6768E-02 1 .7054E-02 3 .1237E-02 8 .5547E-02 9 .3550E-02 7.8757E-Or’ . .. 1 . 9 8 3 8 E - 0 1 2 . 4 7 4 8 1 - 0 1 1 .4261E-01 3.380lE-01 5 . 1 0 5 9 8 - 0 1 2 .3480E-01 4.7721E-01 9.1280E-01 3 .0771E-01 6 1 2 3 6 9 E - 0 1 1.6574E 00 1.2427E-01 7.7741E-01 3 .4925E 00 5.1584E-02 9 .0213E-01 9.2178E 00 2 .1997E-02 9 . 7 9 6 1 8 - 0 1 4.8033E 0 1 6 .9770E-03

N 4 L P H 4 l N l R F l I l N l -1 2 . 3 0 2 2 E - 0 6 0 l . 2 2 5 I E 00 7 . 0 7 9 7 E - 0 5 1 - 2 . 6 5 7 b E - 0 1 -2 .1595E 00

84

.-.... . ..... ,

OMEGA I 0.70 TAU = 0.050 TbU = 0.100 TAU = 0.200 TAU = 0.300

Z l J l X I J I V I J I X I J I Y I J I X l J l Y I J I X l J l Y l J I 0 .0171 L.OI8kE 00 6.6649E-02 1.0193E 00 1 . 3 3 k l E - 0 2 1.0198E 00 7.7928E-03 1.0201E 00 6 .32698-03 0.0935 1.03888 00 6 .2225E-01 1 .0543E 00 3 .8967E-01 I . 0 6 7 2 E 00 1 .65978-01 I . 0718E 00 8 .1113E-02 0.2475 1 .044kE 00 8.6034E-01 1 . 0 6 9 2 E 00 7 .32688-01 1 .1001E 00 5.3243E-01 1.1179E 00 3.9064E-01 0 .5106 l.OG64E 00 9 .52541-01 1 .0752E 00 8.9512E-01 1 .1163E 00 7.8440E-01 1.1449E 00 6.8461E-01 0.9128 1 .0473E 00 9 .93648-01 1.0179E 00 9.728bE-01 I . 1 2 4 3 E 00 9.228OE-01 1.1591E 00 8 .6894E-01 1 .6574 1.0478E 00 1.0179E 00 1 .0795E 00 l .OZO2E 00 1.1293E 00 I . 0 1 2 8 E 00 1.lb83E 00 9 .9676E-01 3 - 4 9 2 5 1.0481E 00 1.0338E 00 1 .0806E 00 1 .0520E 00 1 .1326E 00 1.0756E 00 1 . 1 7 4 6 1 00 1.0894E 00 9.2178 110483E 00 1.0428E 00 l .OB12E 00 1 .0703E 00 1 .1346E 00 1.1126E 00 1.1784E 00 1 .1452E 00

48.0334 1.0484E 00 1.0413E 00 1.0815E 00 1 .0794E 00 1.1355E 00 I .1313E 00 l .18OZE 00 1.1730E 00

N A L P M 4 l N I 0 E 1 4 1 N I 4 L P H 4 I N l B E l A I h l 4 L P H 4 l N I 0 E T 4 I N I A L P H I I N ) B E T A I N I -1 2.0091E 00 I.bO92E 00 1.2265E 00 1.0071E 00

0 1.0452E 00 9 . 1 3 3 1 E - 0 1 l . 0 7 2 8 E 00 8 .57291-01 I.ll26E CO 7.7105E-01 1.1412E 00 1 .0393E-01 1 -1.0066E-03 -4 .7580E-02 - 3 . l 6 0 4 E - 0 3 -9.1852E-02 -9 .587 lE -03 -1 .1335E-01 - 1 - 1 7 2 5 E - 0 2 -2 .47501-01

T4U = 0.800 T4U = 0.400 1 4 U = 0.500 1 4 U = 0.600

Z I J I X I J I V l J l X I J I V I J I X I J I V I J I X I J I Y I J I 0 . 0 1 7 1 I .02OZE 00 5 .3755E-03 l.OZO4E 00 4 .6843E-03 1.0205E 00 4.1466E-03 1.0207E 00 3 1 3 4 6 5 E - 0 3 0 .0935 1.0139E 00 4 .9210E-02 1 .0751E 00 3 .5253E-02 1.0158E 00 2.8309E-02 1.0169E 00 2 .1342E-02 0.2475 1.1289E 00 2 .9011E-01 1 .1361E 00 2 .2018E-01 1.1409E 00 I .7OlZE-OL 1.1467E 00 1 .083LE-01 0 .5106 1 . 1 6 5 7 8 00 5 .9690E-01 1 .1814E 00 5 . 2 0 6 l E - 0 1 1.1935E 00 4 .5414E-01 1.2104E 00 3 .4886E-01 0 .9128 1.L865E 00 0 .1468E-01 1 . 2 0 8 7 1 00 7 .622LE-01 I . 227OE 00 7 . l l 6 8 E - 0 1 1.2550E 00 6 .1829E-01 1 .6574 l . 2 0 0 4 E 00 9 .757bE-01 l r 2 2 7 5 E 00 9 .5176E-01 1.2508E 00 9 .2583E-01 l . 2 8 8 b E 00 0 .1012E-01 3.4925 1.21OZE 00 1 .0968E 00 1 . 2 4 L l E 00 1 .0999E 00 1 .2684E 00 1.0995E 00 1.3144E 00 1.0909E 00 9.2118 1 .2161E 00 1 .1116E 00 1.2493E 00 1 .1934E 00 1 . r 7 9 1 E 00 1.2117E 00 1.3306E 00 1.2399E 00

48.0334 1 .2190E 00 1 .2103E 00 1.2535E 00 1 .L426E 00 1 . 2 0 4 l E 00 1.2114E 00 1.3391E 00 I r 3 2 I I E 00

N 4 L P H 4 1 Y I 8 E T 4 l r i l 4 L P H 4 l L I I 8 E l A I N I 4 L P H A I r i I B E T 4 l h l l 4LPH41 N I 8 E T 4 l N 1 - 1 B.6040E-01 7 .5221E-01 6 . 6 7 r 7 E - 0 1 5 .3995E-01 0 1.1632E 00 b . 4 8 4 7 E - 0 1 1 .1008E 00 6.0:06€-01 1 .1951E 00 5 .5969E-01 1.2172E 00 4 .9038E-01 1 -2 .6813E-02 - 3 . 1 5 7 7 E - 0 1 -3 .6639E-02 -3 .7907E-01 -4 .6160E-02 -4 .3810E-01 -6 .7371E-02 - 5 . 4 5 2 2 E - 0 1

T4U = 1.000 r 4 u = 1.500

X I J I Y I J I 1.0209E 00 1 .8473E-03 1.0784E 00 1 .1382E-02 1 .1533E 00 3 .9694E-02 1 .2343E 00 1 . 5 0 1 k E - 0 1 1.3040E 00 3 1 7 2 3 2 E - 0 1 1 .3656E 00 6 .7557E-01 1 .4184E 00 1 .0138E 00 1 .4552E 00 1.2809E 00 1 .4751E 00 1.4394E 00

1 4 U = 2.000

X I J I Y I J I

TbU = 2.500

X I J I Y I J I Z I J I 0 .0171 0 .0935 0 .2475 0 .5166 0 . 9 1 2 8 1 .6574 3.4925 9 .2118

48.0334

ri -1 0 I

Z I J I 0 .0171 0 . 0 9 3 5 0 .2415 0 . 5 1 0 6 0.9128 1 .6574 314915 9.2178

48.0334

N

X I J I V I J I 1.0208E 00 2 . 7 7 L I E - 0 3 1.0775E 00 1 .7345E-02 1 . 1 4 9 8 E 00 7.5050E-02 1.22IOE 00 2 . 7 0 ~ 2 E - 0 1 1 .2148E 00 5 .3562E-01 L.317bE 00 8 .1392E-01 1.3511L 00 1 .0748E 00 1.3136E 00 1 . 2 5 9 ? E 00

1.021OE 00 1.2974E-03 1 .0789E 00 7 . 9 6 b l E - 0 3 1.1548E 00 2.595OE-02 1 .2395E 00 9 .0213E-02 1.3179E 00 2 .5912E-01 L.3927E 00 5 .5170E-01 1 .4621E 00 9 .3756E-01 L.SL17E 00 1.2769E 00 1.5391E 00 1.4906E 00

1.021OE 00 9.5176E-04 l . O l 9 1 E 00 5 .7908E-03 1 .1555E 00 1 .8386E-02 L.2418E 00 5.8326E-02 L . 3 i 4 9 E 00 1 .8163E-01 1.408bE 00 4 .4605E-01 1.4905E 00 8 .5593E-01 1.5518E 00 1.2566E 00 1.5875E 00 L .5244E 00 1 .3853E 00 1 .3624E 00

4 L P H 4 l Y I R F T A I N I 4LPHL I V I BET4 I hi I 2 . 9 9 3 0 E - 0 1

1 .2516E 00 3 .309LE-01 -1 .3495E-01 - 8 . 3 6 7 1 E - 0 1

4LPH4 I N I 0 E T 4 t N I 2 .11 J5E-01

1 .27OlE 00 2 .6069E-01 -1 .7515E-01 -9.9GJBE-01

4 L P H 4 l N I B E T 4 l N l 1 .5457E-01

1 . 2 1 8 I E 00 2 . 1 0 5 5 E - 0 1 2 .084SE-01 -1 .1136E 00

4 .1787E-01 1.2331E 00 4 . 3 4 2 l E - 0 1

-8 .7750E-02 - 6 . 4 0 1 6 E - 0 1

TAU = 3.000 T4U = 3.500 T4U = 4.000 1 4 U = 4.500

X I J I V I J I 1.021OE 00 1 .1393E-04 1.019ZE 00 4 .32bBE-03 L.1558E 00 1 .3564E-02 1.2430E 00 4 .0018E-02 1.3285E 00 1 .2869E-01 1.418OE 00 3 .5833E-01 1 .5097E 00 7 .7446E-01 1 .58 lOE 00 1.2260E 00

X I J I V I J I 1.021OE 00 5 .4110E-04 1 .07938 00 3 . 3 0 5 0 E - 0 3 1.1560E 00 1 .0269E-02 1.2436E 00 2 .8810E-02 1 .3305E 00 9 .2426E-02 1 .4238E 00 2 . 8 6 1 1 E - 0 1 1 .5220E 00 b .9626E-01 1.6025E 00 1 .1888E 0 0

X I J I V I J I 1.OZ11E 00 4.2111E-04 1.07938 00 2.5721E-03 1 . 1 5 6 2 E 00 7.9353E-03 1 . i 4 3 9 E 00 2 .15538-02 1 .3316E 00 6.7405E-02 1.4273E 00 2 .2809E-01 1 .5319E 00 6 .2292E-01 1.6186E 00 1.1476E 00

X I J I Y I J I 1.0211E 00 3 .3863E-04 1.0793E 00 2.0348E-03 1.1562E 00 6 1 2 3 9 7 E - 0 3 1.2441E 00 1 .6537E-02 1.3322E 00 4 .99798-02 1.4296E 00 1 . 8 2 5 7 8 - 0 1 1 .5383E 00 5 .5529E-03 1.6309E 00 l . l O 4 2 E 00

1 .6235E 00 1.5461E 00 1 . 6 5 1 2 t 00 1 . 5 5 9 l E 00 I . b 7 2 7 E 00 1.5657E 00 1.6097E 00 1 . 5 6 7 7 1 00

4 L P H 4 l V l B L l 4 I N I 4 l P H 4 l N l H E T A l N l 4 L P l i A l N l B E T 4 l N l 5 1 5 1 3 l E - 0 2

1.2806E 00 1 .0688E-01 2 .9165E-01 -1.4291E 00

-1 0

l . l b O 4 E - 0 1 1.2826E 00 1 .7354E-01

1 -2 .3515E-01 -1.2144E 00

.. 8.8982E-02

1 .2855E 00 3 .45531-01 -2 .5011E-01 -1.2982E 00

OMEGA = 0.70 TAU = 15.00 TAU = 10.00 TAU = 5.000 TAU = 1.500

Z I J 1 X I J I V I J I X l J l V I J I X I J I V l J l X I J I V I J I 0.0111 1.0211E 00 2 .7249E-04 l . 0 2 1 1 E 00 1 .1300E-04 I . 0 2 1 1 E 00 5.5087E-05 1.0211E 00 2.0583E-05 . . .~ ~

0.0935 1.07%; 00 1.6331;-03 1.0194E 00 6 .5233E-04 L.0794E 00 3.2553E-04 1.0794E 00 1 .2105E-04 0.2475 1.1563E 00 4 .98218-03 1 . 1 5 6 4 1 00 1.9500E-03 1 .1564E 00 9.6058E-04 1.1564E 00 3 1 5 2 1 2 8 - 0 4 0.5106 1.2443E 00 1 .296bE-02 1.2445E 00 5 .8132E-03 1.2445E 00 2.3044E-03 1.2445E 00 8 .2025E-04 .... ~~ .~~ ~~ .. ~ ~ ~ ~

0 .9128 1.3326E 00 3 .7702E-02 1.3332E 00 1 .1822E-02 1.333ZE 00 5.1653E-03 1.3333E 00 1 .7104E-03 1.6574 1 .4310E 00 1 .4561E-01 1.4334E 00 4.8743E-02 1.4337E 00 1.8378E-02 1.4338E 00 4 .k056E-03 3.4925 1.5429E 00 4 .9363E-01 1 .5526E 00 2.6745E-01 1 .5548E 00 1.4262E-01 1.5557E 00 4.1225E-02 9.2178 1.6402E 00 1 .0597E 00 1.6644E 00 8 .43311-01 1 . 6 1 2 8 1 00 6.5910E-01 1.6181E 00 3 .9517E-01

48.0334 1.7033E 00 1 .5660E 00 1.7421E 00 1 .5284E 00 1.7588E 00 1.4699E 00 1.7726E 00 L.3407E 00

N 4 L P H 4 l Y l B E T I I N 1 4 L P H 4 l Y l BETA I N l A L P H A I N I B E T A l Y l A L P H A I N I B E T A l N l -1 4.4388E-02 1.7918 E-02 9.0005E-03 3 .31341-03 0 1 .2894E 00 9.3294E-02 1 .2913E 00 5 .4169E-02 1.2918E 00 3.6689E-02 1.2921E 00 2 .1500E-02 1 -3 .0426E-01 -1.4822E 00 -3 .4345E-01 -1.6672E 00 -3 .6267E-01 -1.7822E 00 -3.8061E-01 -1.9251E 00

TAU = 20.00 TAU = 25.00 TAU = 30.00 T4U = 40.00

Z I J I X I J I Y I J I X I J I Y I J I X I J I V I J I X I J I Y I J I 0 .0171 1.0211E 00 9.0010E-06 l . 0 2 1 I E 00 1 .0197E-05 1.G211E 00 4.0496E-06 1.0211E 00 2.1237E-Ob 0.0935 1.0794E 00 b.OMC4E-05 1 . 0 7 9 4 t 00 3 1 5 9 5 1 E - 0 5 1.0794E 00 2 .3632E-05 1.079*E 00 1 .2433E-05 0 . 2 4 1 5 1 .1564E 00 1 .7557E-04 1.1564E 00 1 .0351E-04 1 .1564E 00 6.7786E-05 1.1564E 30 3.5534E-05 0 .510b L.2445E 00 4 .0330E-04 1.2445E 00 2 .3602E-04 1.2445E 00 1 .5375E-04 L.2445E 00 8 .0072E-05 0.9128 L.3333E 00 8 .1800E-04 L.3333E 0 0 4 .1199E-04 1.3333E 00 3.0478E-04 L.3333E 00 1 .5702E-04 1 .6574 1.4338E 00 1 .8422E-03 1.4338E 00 1 . 0 1 3 3 E - 0 3 1.4338E 00 b.3962E-04 1.433VE 00 3 .2157E-04 3.4925 1.5558E 00 1.305bE-02 :.5558E 00 4 .9060E-03 1.5559E 00 2 .3014E-03 1.5559E 00 8 .8291E-04 9.2178 I .679CE 00 2.35GOE-01 1.6790E 00 1 . 3 9 5 2 E - 0 1 1.6800E 00 8 .2933E-02 l . 6 8 O l E 00 2 .9658E-02

48.0334 1.7780E 00 1 .215ZE 00 1.18068 0 0 1 . 0 9 8 9 E 00 1.7821E 00 9 .9269F-01 1.7837E 00 8.088OE-01

N 4 L P H 4 1 Y l B E T 4 l N I ALPH4 I h l l BETA I H I ALPHAIWI B E 1 4 I N l A L P H A l N l B E T A I N I 3 .5000E-04

0 1.2921E 00 1 .4921E-02 1.2922E 00 1 .1334E-02 1.2922E 00 9 .0900E-03 1.29L2E 00 6 .4541E-03 1 -3 .88d8E-01 -2.016OE 00 -3 .9358E-01 -2.0817E 00 -3 .9660E-01 -2.133OE 00 -4 .0025E-01 -2.2099E 00

-1 1 .691+E-03 1 .0173E-03 6 .6388E-04

1 4 U = 200.0 TAU = 15.C.O T 4 U = 100.0 T4U = 50.00

Z I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I 0 . 0 1 7 1 0.0935 0 .2415 0 . 5 1 0 b

1 . 6 5 7 G o.912e . . ~ 3.4925 9.2178

4 8 . 0 3 3 4

1.021:E 00 1 .3580E-06 1.0794E 00 7 .8912E-06 1.1564E 00 2 .2515E-05

i . 6 8 0 1 E 00 1 . 0 9 8 l E - 0 2 1.784GE 00 b .5834E-01

1.0211E 00 0.000GE-39 1.0194E 00 3 .9183E-06 1.1564E 00 1 .1027E-05 1.2445E OJ 2 . 4 5 6 7 F - 0 5 1.3333E 00 4 .1453E-05 1.4339E 0 0 9 .4314E-05 1.5559E 00 2 . 2 6 3 7 E - 0 4 1.6801E 00 1 .4031E-03 1 . 7 8 5 1 ~ 0 0 3 . 9 3 0 4 ~ - 0 1

1 . 0 2 1 l E 00 2.1126E-07 1 .0794E 00 2.2430E-Ob 1.1564E 00 b.3728C-06 l o r 4 4 5 E 00 l.42‘6E-05 1.3333E 00 i .1479E-05 1 .4339E 00 5 .4527E-05 1.5559E 00 1.2991E-04 i . b 8 0 l E 00 4 .7155E-04 1.7853E 00 2 .3455E-01

1.0211E 00 b.Bb2OE-08 1.0794E 00 2 .8304E-01 1.1564E 00 8 . 0 4 7 4 E - 0 7 l . 2 4 4 5 E 00 1 .7967E-06 1.3333E 00 3 .4702E-06 1.4339E 00 b.8839E-Ob 1.5559E 00 1 .6383E-05 1.68GlE 00 5 .3514E-05 1.7M55E 00 2 .9740E-02

N 4 L P H 4 l V l B E l 4 l N I 4LPH4I ’ I l D E l A l h l I L P H A I N I B E T A I N 1 4 L P H P l N l D E T A I N 1 -1 2 .2266E-04 1 .0780E-04 6 .2957E-05 7 .9930E-Ob 0 1.2922E 00 4.9315E-03 1.2922E 0 0 2 . 8 1 8 7 E - 0 3 1.2922E 00 1 . t732E-03 1 .29 iZE 00 2 .1200E-04 1 -4 .0243E-01 - 2 . 2 6 b l E 00 -4 .0555E-01 -2 .3610E 00 -4 .C730E-01 -2.4162E 00 -4 .0959E-01 - i . 4 8 7 3 E 00

TAU = 252.8

Z I J I X I J I Y I J I 0 .0171 l . 0 2 1 1 E 00 1 .6316E-08 0.0935 1.0794E 00 9.5149E-38 0 .2475 1 .1564E 00 2.7053E-07 0 .5106 1 .2445E 00 6.0398E-07 0.9128 L.3333E 00 1 .16bbE-06 1 .6574 1.4339E GO 2 . 3 1 4 l E - 0 6 3.4925 1 . 5 5 5 9 t CO 5.5075E-Cb 9 .2178 1 .6801E 10 1 .1989E-05

48.0334 1.7855E 00 9 .9916E-03

N A L P H 4 l r l l B E T 4 1 V I -1 2.6869E-Ob

0 1.2922E 00 7.1ZbdE-05 1 -4 .09aLE-01 -2 .494 iC 00

U I J I Z I J I H I J I 1 + 6 7 6 8 E - 0 2 1.705kE-02 3.1237E-02 8.554TE-02 9.3550E-02 7.8757E-02 1 .9838E-01 3 .380 lE -01 4 . 7 7 2 l E - 0 1 6.2369E-01 1 .7741E-01 9 .0213E-01

2 .47k8E-01 5 .1059E-01

1.6574E 00 3.4925E 00 9 .2118E 00

9 . 1 2 ~ 0 ~ - 0 1

9 .1961E-01 4.8033E 01 6.9770E-03

86

ORE64 - C . 8 0 n u - 0.300 TAU = 0.050 T ~ U = 0.100 TAU = 0.200

Z I J I X l J l Y I J I X I J I Y I J I X l J l Y l J l X I J I Y I J I 0.0171 1 .0212E 00 6 .8691E-02 1 . 0 2 1 3 1 00 1 .50398-02 1.0229E 00 9 . l b94E-03 1.0232.E 00 7 .53521-03 0.0935 I . 0 4 4 6 E 00 6 .2177E-01 1 . 0 6 2 9 1 00 3 .9706E-01 1 .0784E 00 1.1315E-01 1.0842E 00 8 .945bE-02 0 .2475 1.0511E 00 8 .6692E-01 1 .0802E 00 7 . 4 3 0 2 E - 0 1 1.11691 00 5 .4730E-01 I.1388E 00 4.07721-01 0.5106 1 . 0 5 3 4 1 00 9 .5950E-01 1 .0871E 00 9 .0670E-01 1.1360E 00 8.0291E-01 1.1707E 00 7.0805E-01 0.9128 L.0544E 00 1 .0008E 00 1.09031 00 9 .85011-01 1.1454E 00 9.43171-01 1.1816E 00 8 .9593E-01 1 .6574 1.0550E 00 1.0251E 00 1.09211 00 1.0327E 00 1.1512E 00 1.03441 00 1 . 1 9 8 5 1 00 1 .0261E 00 3.4925 I .0554E 00 1 .0411E 00 1 .0934E 00 1 .0647E 00 1.1552E 00 1.0979E 00 l.2ObOE 00 1 .1203E 00 9.2178 1.0556E 00 1 . 0 5 O Z E 00 1.0941E 00 1 .0831E 00 1.1514E 00 1.1354E 00 1.2105E 00 1.1771E 00

40.0334 1.0557E 00 1 .0547E 00 1 . 0 9 4 k E 00 1 .0923E 00 1 . 1 5 8 6 1 00 I .1543E 00 l . 2 1 2 1 E 00 1.2062E 00

N A L P H A l N l 0 E l 4 l N I 4 L P H 4 l N l B E T A I N I 4 L P H A l N I B E T 4 l N l 4 L P H 4 l Y l B E r 4 l N l -1 2.0276E 00 1 .6351E 00 1.2619E 00 1 .0483E 00

0 1.0521E 00 9 .2006E-01 1 .0843E 00 8 .6844E-01 1 .1316E 00 1.8896E-01 1 1 1 6 6 5 1 00 7 .2699E-01 1 -1 .1606E-03 -4 .7174E-02 -3 .6684E-03 - 9 - 2 5 1 9 E - 0 2 -1.1259E-02 -1.7560E-01 -2 .1036E-02 -2 .5202E-01

TAU I 0.800 T4U = 0.400 T A U = 0.500 T A U = 0 .600

L l J l 0.0171 0.0935 0 . 2 4 7 5 0 . 5 1 0 6 0.9128 1 . 6 5 7 4 3.4925 9.2178

4 8 . 0 3 3 4

X I J I Y l J l 1.0236E 00 6 .4743E-03 1.0869E 00 5 .63431-02 1.1526E 00 3 .0871E-01 1.1966E 00 6 .2386E-01

X I J I Y I J I 1 . 0 2 3 8 E 00 5 .7027E-03 1 .088bE 00 4.1836E-02 1 .1b19E 00 2 .3836E-01 1 . 2 l b 6 E 00 5 . 5 0 1 2 E - 0 1 1 .249bE 00 7 .9917E-01 1 .2723E 00 9.9415E-01 1 .2888E 00 1 . 1 4 6 3 E 00 1 .2987E 00 1 .2423E 00 1 . 3 0 3 8 E 00 1 .2927E 0 0

X I J I Y I J I 1.024OE 00 5.1009E-03 1.0897E 00 3.44361-02 1.1683E 00 1.8806E-01 1.2323E 00 4.S59OE-01 1 .2731E 00 1 .5240E-01 1.3021E 00 9 .7375E-01 1.3236E 00 1.1529E 00 1.3367E 00 l . 2 6 8 6 E 00

X I J I Y I J I 1.0242E 00 4 1 2 0 0 4 E - 0 3 1.0913E 00 2 .67611-02 1 .17641 00 1 . 2 5 1 8 8 - 0 1

I . 3 1 0 0 E 00 6 .6459E-01 1.3517E 00 9 .2806E-01 1.3838E 00 1.1572E 00 1.4039E 00 1 . 3 1 1 9 E 00

1 . 2 5 4 8 ~ 00 3 . 8 1 i i ~ - o i

N 4 L P H 4 I U I D E l 4 l M l 4 L P H 4 l N l B E l A l N l 4 L P H 4 l V I B E l 4 l N l b l P H l l N l R F T A t N , -I 9 .0552E-01 0 1.1937E 00 6 .7564E-01 I -3 .2208E-02 -3 .231OE-01 -

._ .. 8.0009E-01 7.1109E-01 5.9198E-01

1 .2159E 00 6 . 3 1 5 8 E - 0 1 1.2344E 00 5 .9290E-01 1 .2636E 00 5 .2185E-01 4 .4321E-02 -3 .8971E-01 -5.7064E-02 -4 .52*2E-01 -9 .3587E-02 -5 .6791E-01

1 4 U = 1.000 T A U = 1.500 1 4 U = 2.000 T4U - 2.500

Z I J I X I J I Y I J I X I J I Y I J I 0 .0171 1.0244E 00 3 . 5 4 6 4 E - 0 3 L . 0 2 4 6 F 00 7.47G91-03 0.0935 0 . 2 4 7 5 0 .5106 0.9128 1 .6514 ~~

3 . 4 9 L 5 9.2178

48.0334

1.0924E 00 2 .2228E-02 I.18;OE 00 9.0bOZE-02 1.2697E 00 3 . 0 3 2 4 E - 0 1 1 1 3 3 7 3 E 00 5 .8544E-01 1 .3911E 00 8 .7813E-01 1.4341E 00 1.1524E 00 1.46LBE 00 1.3454E D O 1 .4765E 00 1.4532E 00

~~~. ~. .. .. .. .. 1.0939E 00 1 .5295E-02 1.186RE 0 0 5 .2237E-02 1 .2097E 00 1 .8037E-01 1.3796C 00 4 . 2 4 8 4 E - 0 1 1.4596E 00 7 .5212E-01 1 .5292E 00 1 .1138E 00 1 . 5 7 6 7 E 00 1.3980E 00 l .bO28E 00 1.5662E 0 0

X ( J 1 Y I J I X I J I Y I J I 1.0247E 0 0 1 .8205E-03 1.0248E 00 1 .3832E-03 1 - 0 9 4 7 E 30 1.1178E-02 1.0952E 00 8.456OE-03 1.1894E 00 3.6153E-02 1.1908E 00 2 .6816E-02 1.2985E 00 1.1619E-01 1.3029E 00 8 .0170E-02 l . 4OLbE 00 3 .0923E-01 1.4137E 00 2 .2702E-01 1.5014E 00 b .3260E-01 1.5215E 00 5 .2634E-01 1.5945E 00 1.052SE 00 1 .6404E 00 9 .7975E-01 1 .6615E 00 l . 4 1 8 0 E 00 1.7254E 00 I .418OE 00 1 . 6 ~ 9 5 ~ oo 1 . 6 4 8 1 ~ oo 1 . 1 7 5 1 ~ 00 1.709~~ 00

"( AL PHb I N I BET4 I FI I A L P H A I N I 8 E 1 4 l Y I 4 L P H 4 l N l B E T 4 l N l 4 L P H 4 l Y I 8 E T 4 I N I - I 5 .0058E-01 3 .5009E-01 2 .57866-01 1 .9600E-01 0 1.2854E 00 4 . 7 4 5 l E - 0 1 L.3209E 00 3 . 7 4 L l E - 0 1 1.3413E 00 3 .0415E-01 1.3539E 00 2 .5228E-01 I -1 .1055E-01 - 6 . 7 2 1 9 E - 0 1 -1 .7590L-01 -8 .9467E-01 -2 .3504E-01 -1 .075 lE 00 -2 .d679E-01 -1 .2259E 00

T4U = 3.500 T4U = 4.000 1 4 U - 4.500 T4U = 3.300

Z I J I 0.0171 0 . 0 9 3 5

1 .6574 3.4925 9 .2178

4 8 . 0 3 3 4

X I J I V I J l 1.0249E 00 1.0753E-03 1.0954E 00 6 .5535E-03 1.1917E 00 2 .0572E-02 1.3053E 00 5.832YE-02 1.4205E 00 3 .6863E-01 1.5442E 00 4.349OE-01 I . 6 7 3 0 E 00 9 . 0 2 3 6 E - 0 1 I . 7 7 4 3 E 00 1.4021E 00 1 .03501 00 1 .7539E 00

X l J l Y I J I 1.0259E 00 8 .5153E-04 1.095bE 00 5 .1755E-03 I . 1 9 2 2 E 00 1 .6132E-02 1 .30668 00 4 .4123E-02 l . 4 2 4 5 E 00 1 .2697E-01 1 .5550E 00 3 .5780E-01 1 .6965E 00 8 . 2 4 5 6 E - 0 1 1 . 8 1 2 I E 00 1 .3754E 00 1 .8831E 00 I .786OE 00

X I J I Y I J I 1 .0249E 00 6 .0452E-04 1.0951E 00 4 .15 lZE-03 1 .1925E 00 1.2067E-02 1.3075E 00 3.4340E-02 1 .4269C 00 9 .7005E-02 1.562OE 00 2 .9365E-01 1 .7136E 00 7 .4896E-01 1 .84168 00 1 . 3 4 l k E 00 1 - 9 2 i l E 00 1.8085E 00

X I J I Y I J I 1.0249E 00 5.5720E-04 1.0958E 00 3 . 3 7 4 5 8 4 3 1.1927E 00 1.041OE-02 1.3080E 00 2 .7302E-02 1 .42851 00 7 .5219E-02 1.5667E 00 2.40771-01 1.7262E 00 6 .7713E-01 1.8648E 00 1 . 3 0 2 2 1 00 1.95408 00 1 .8237E 00

N 4 L P H 4 l N l B E l 4 l N I 4 L P H A I N I B E T 4 1 N I 4 L P H 4 l N l B E l 4 l N l 4 L P H 4 l N I B E T A I N 1

1 -3 .3139E-01 -1.3524E 00 -3 .6960E-01 -1.4603E 00 -4.O227E-01 -1 .5532E 00 -+ .3025E-01 -1 .63411 00 0

-1 1 .5255E-01 1 .2086E-01 9.7202E-02 7 .9201E-02 1 . 3 6 i 9 E 00 2 .1214E-01 1 .3673E 00 1 .8188E-01 1.3709E 00 1 .5135E-01 1 .37351 00 1 .3754E-01

TAU = 5.000 TAU - 7.500 TAU = 10.00 TAU = 15.00 OMEGA = 0.80

Z l J l 0.0171 0 .0935 0.2475 0 .5106 0.9128 1 .6574 3 .4925 9 . 2 1 7 8

48.0334

X l J I V l J I 1 .0249E 00 4 . 5 9 4 0 1 - 0 4 1 .0958E 00 2.7756E-03 1 .1928E 00 8.5266E-03 1 .3084E 00 2 .2073E-02 1 .42948 00 5.9190E-02 1 .5699E 00 1 . 9 7 4 6 E - 0 1 1.7354E 00 6 . 0 9 9 6 E - 0 1 1.8832E 00 1 .2597E 00 1.9804E 00 1.8329E 00

X l J l Y l J l 1 .0249E 00 2.0329E-04 3 . 0 9 5 9 1 00 1 . 2 0 4 3 1 - 0 3 1 .1931E 00 3 . 6 4 2 5 1 - 0 3 1 . 3 0 9 0 E 00 9 . 0 7 1 9 E - 0 3 1 .4311E 00 2 .1745E-02 1.5758E 00 7 .5725E-02 1.7567E 00 3 . 5 0 0 3 E - 0 1 1 . 9 3 4 0 8 00 1.0321E 00 2 .0605E 00 1 .8256E 00

X l J l Y 1 J l I e O 2 4 9 E 00 1 . 0 4 4 5 E - 0 4 1 . 0 9 5 9 1 00 6 .2395E-04 1 .1931E 00 1 . 8 6 7 8 1 - 0 3 1 .3092E 00 4 .5599E-03 1 .4314E 00 1 .0247E-02 1 .5769E 00 3 .23281-02 I . 7 6 2 4 E 00 1 . 9 6 1 6 E - 0 1 1 .9534E 00 8 . 2 1 7 5 E - 0 1 2 .0979E 00 1 . 7 7 4 9 1 00

N A L P H A I Y I B E T A I N I A L P H A I N I B E T A I N 1 A L P H A I N I B E T A l N l A L P H A l N I 8 E T A l N l

0 1 .37548 00 1 .2134E-01 1 .3796E 00 7 . 2 3 5 0 E - 0 2 1 .3809E 00 4 . 9 1 3 6 E - 0 2 l . 3 8 1 6 E 00 2 . 8 4 3 2 E - 0 2 1 - 4 . 5 4 2 7 E - 0 1 -1 .7050E 00 - 5 . 3 4 0 0 E - 0 1 -1 .9602E 00 - 5 . 7 6 2 3 E - 0 1 -2 .1205E 00 - 6 . 1 7 1 8 E - 0 1 - 2 . 3 1 7 l E 00

-1 6.5284E-02 2 .8564E-02 1 .4880E-02 5 . 6 5 0 0 E - 0 3

TAU = 20.00 TAU = 25.00 TAU = 30.00 TAU = 40.00

Z I J I X I J I Y I J I X l J I Y I J I X I J I Y l J I X l J I Y l J I 0.0171 1 . 0 2 4 9 F no 1 . 9 7 5 3 F - 0 5 1 .0249E 00 1 .1595E-05 1 . 0 2 4 9 E 00 9.6044E-06 1 .02498 00 3 . 8 9 9 1 E - 0 6 . _. .. ~. ~~

0.0935 1 .0959E 00 1 . 1 6 9 8 E - 0 4 i . 0 9 5 9 E 00 6.8457E-05 1 .0959E 00 4 .4418E-05 1.0959E 00 2 . 2 9 7 8 E - 0 5 0 . 2 4 7 5 1 . 1 9 3 2 E 00 3 .4347E-04 1 .1932E 00 2 . 0 0 1 6 E - 0 4 I . 1 9 3 2 E 00 1 . 2 9 5 9 E - 0 4 1.1932E 00 6 . 6 7 5 4 E - 0 5 0 . 5 1 0 6 1.3093E 00 B.0506E-04 1 .3093E 00 4 .6550E-04 1 .3093E 00 2 . 9 9 8 8 E - 0 4 1.3093E 00 1 . 5 3 4 4 E - 0 4 0 . 9 1 2 8 1 .4316E 00 1 . 6 6 8 5 E - 0 3 1.4316E 00 9 . 5 1 1 1 E - 0 4 1 .4316E 00 6 . 0 7 3 5 E - 0 4 1.4316E 00 3 . 0 7 3 4 E - 0 4 1 .6574 1.5773E 00 3 . 8 4 1 7 E - 0 3 1 .5773E 00 2 . 0 9 6 3 E - 0 3 1 . 5 7 7 3 E 00 1 . 3 0 8 5 E - 0 3 1 . 5 7 7 3 1 00 6 . 4 5 8 1 E - 0 4 3 .4925 1 . 7 6 5 1 E 00 2 .182SE-02 1 .7651E 00 9 . 0 2 9 0 E - 0 3 1.7652E 00 4 .5404E-03 1.7652E 00 1 . 8 1 9 7 1 - 0 3 9.717A 1.9692E 00 3 . 0 5 0 Y E - 0 1 1.9702E 00 1 . 8 3 7 8 E - 0 1 1 .9706E 00 I . I O 8 2 E - 0 1 1.9708E 00 4 . 0 9 6 1 E - 0 2 . .

48.0334 2.142;; 00 1.4907; 00 2.1485E 00 1.3521E 00 2 - 1 5 1 9 E 00 1.2239E 00 2.1554E 00 9 .998OE-01

N A L P H A I N I B E T A l N I A L P H A I N I B E T A l N l A L P H A I N I B E T A l N l A L P H A l N l B E T A l N l

0 I . 3 8 1 8 E 00 1 .9476E-02 1 .3819E 00 1 . 4 6 3 9 E - 0 2 1 .3819E 00 1 . 1 6 5 3 E - 0 2 1.3819E 00 8 . 1 9 2 8 E - 0 3 1 - 6 . 3 6 2 0 E - 0 1 -2 .4393E 00 - 6 . 4 6 9 3 E - 0 1 -2 .5263E 00 -6 .5376E-03 - 2 . 5 9 3 2 E 00 - 5 . 6 1 9 3 E - 0 1 -2 .6926E 00

-1 2 . 8 2 0 3 E - 0 3 1 . 6 5 4 4 E - 0 3 1 . 0 7 9 7 E - 0 3 5 . 5 7 4 0 E - 0 4

TAU = 2 0 0 . 0 T4U = 50.00 TAU i 75.00 TAU = 100.0

Z l J I X l J l Y l J I X l J l Y l J I X I J I V l J I X l J I Y l J l 0.0171 1.OZ49E 00 1 . 3 5 8 4 E - 0 6 1 .0249E 00 1 .1724E-06 1 .0249E 00 6 . 3 4 6 0 E - 0 7 1.0249E 00 0 . 0 0 0 0 E - 3 9 n n 0 ~ 6 1.095QF on l . ' 3 9 ' i F - O 9 1.0959F D O 6 . 8 9 0 4 F - 0 6 1 . 0 9 5 9 E 00 3.9973E-06 1.0959E 00 5 . 3 4 1 0 E - 0 7

..~ .- .. - .. ~

3 . 4 9 2 5 1 .7652E 00 1 .0285E-03 1 .7652E 00 4 . 5 2 4 8 E - 0 4 1.7652E 00 2 .5891E-04 1 - 7 6 5 2 E 00 3 . 3 0 3 3 E - 0 5 9 . 2 1 7 8 1 .9709E 00 1 . 5 8 7 1 E - 0 2 1 .9709E 00 2 . 4 5 2 3 E - 0 3 1 .9709E 00 9 . 4 2 6 0 E - 0 4 1.9709E 00 1 . 1 1 3 9 E - 0 4

48.0334 2.1570E 00 8 . 1 5 i 8 E - 0 1 2 .1586E 00 4.8838E-01 2 .1591E 00 2 .9233E-01 2.1593E 00 3 . 7 5 0 7 E - 0 2

N A L P H A l N I B E T A I N 1 A L P H A l N l B E T 4 I h l A L P H A I N I 8 E T A l N l A L P H A I N I B E T A l N l

0 1.38198 00 5 . 2 2 7 1 ~ - 0 3 1 . 3 8 2 0 ~ 00 3 . 5 4 9 0 ~ - 0 3 1 . 3 8 2 0 ~ 00 2 . 1 1 0 9 ~ - 0 3 1 . 3 8 2 0 ~ 00 2 . 7 0 6 1 ~ - 0 4 1 - 6 . 6 6 7 3 6 - 0 1 - 2 . 7 6 5 1 E 00 -6 .7349E-01 - 2 1 8 8 4 9 E 00 - 6 . 7 7 2 5 E - 0 1 -2 .9549E 00 - 6 . 8 2 1 9 E - 0 1 -3.0455E 00

3.4734E-04 1 . 6 7 6 5 E - 0 4 9 . 7 1 8 4 E - 0 5 1 . 2 3 1 9 E - 0 5 -1

L I J I 0.0171 0 . 0 9 3 5 0 . 2 4 7 5 0 . 5 1 0 6 0 . 9 1 2 8 1.6574 3.4925 9 . 2 1 7 8

48.0334

TAU =

X l J I 1.0249E 00 1 .0959E 00 1 .1932E 00 1 .3093E 00 1 .4316E 00 1 . 5 7 7 3 E 00 1 .7652E 00 1 . 9 7 0 9 1 00 2 .1593E 00

264.4

Y I J I 7 . 1 0 2 1 E - 0 8 1 . 3 5 1 l E - 0 7 3 .9191E-07 8 .9302E-07 1 . 7 6 1 1 E - 0 6 3 .5796E-06 8 .7855E-06 2 .9647E-05 9 .9860E-03

U I J I Z I J I H l J l 1 . 6 7 6 8 E - 0 2 1 .7054E-02 3 .1237E-02 8 .5547E-02 9 . 3 5 5 0 1 - 0 2 7 .8757E-02 1 . 9 8 3 8 6 - 0 1 2 .4148E-01 1 . 4 2 6 7 E - 0 1

4 . 7 1 2 I E - 0 1 9 . 1 2 8 0 1 - 0 1 3 .0711E-01 6 .2369E-01 1.b514E 00 1.2527E-01 7 . 7 7 5 1 E - 0 1 3 .4925E 00 5.1585E-02 9.0213E-01 9.2178E 00 2 . 1 9 9 7 E - 0 2 9 .7961E-01 4.8033E 01 6 .9770E-03

N A L P H A I N I B E T A I N I -1 3.3935E-06

0 I . 3 8 2 0 E 00 7 .2043E-05 1 - 6 . 8 2 7 3 E - 0 1 -3 .0553E 00

88

OMEGA - 0.90 TAU - 0.050 TAU = 0.100 TAU = 0.200 TAU - 0.300

L l J l X I J I Y I J I X I J I Y I J I X I J I Y l J I X I J I Y l J l 0.0171 1.024OE 00 7.077OE-02 1 . 0 2 5 3 E 00 1.6792E-02 1 .026ZE 00 1 . 0 6 2 8 E - 0 2 1.0267E 00 8 .8446E-03 0.0935 0.2475 0.5106 0 . 9 1 2 8 1 .6574 3.4925 9 .2178

48.0334

i . oSo is oo 1 . 8 1 7 6 ~ - 0 i 1.1346E 00 5 . 6 2 9 3 E - 0 1 1 . 1 5 6 6 1 00 8 . 2 2 3 5 E - 0 1 1.L675E 00 9 . 6 4 5 4 E - 0 1 1 .1742E 00 1.0570E 00 1 . 1 7 8 8 1 00 1.121kE 00 1.1814E 00 1 . 1 5 9 3 8 00 1.1827E 00 1.1784E 00

1 . 0 9 7 2 1 00 9 . 7 8 1 1 E - 0 2 1.1609E 00 4 . 2 6 0 5 1 - 0 1 1 . 1 9 8 2 1 00 7 . 3 3 1 3 E - 0 1 1.2180E 00 9 . 2 4 7 7 ) - 0 1 1.2308E 00 1.0574E 00 .._.... ~. . . ~ ~ . .~ 1.23968 00 1 . 1 5 3 4 8 00 1.2447E 00 1.2112E 00 1.247kE 00 1.2+08E 00

N A L P H A l N l B E T A l N l A L P H A l N l B E T A I N I A L P H A l N l B E T A I N I A L P H A l N l B E T A I N I -1 2.0463E 00 1 . 6 6 1 7 1 00 1.2991E 00 1.0924E 00 0 1 .0590E 00 9 . 2 6 9 1 E - 0 1 1 . 0 9 6 1 E 00 8 . 7 9 9 l E - 0 1 1 .1516E 00 8 . 0 7 7 6 1 - 0 1 1.1932E 00 7.5166E-01 1 - 1 . 3 1 7 1 E - 0 3 - 4 . 7 9 7 1 E - 0 2 -4 .1923E-03 - 9 . 3 2 0 2 E - 0 2 -1 .3024E-02 - 1 . 7 7 9 4 E - 0 1 - 2 . 4 6 0 4 E - 0 2 - 2 . 5 6 8 0 E - 0 1

Z I J I 0 1 0 1 7 1 0.0935 0 .2475 0 .5106 0 . 9 1 2 8 1 .6574 3.4925 9 . 2 1 7 8

4 8 . 0 3 3 4

TAU = 0.400

X I J I Y I J I 1.0271E 00 7 . 6 9 0 6 E - 0 3 1 .1009E 00 6 . 4 2 1 3 E - 0 2 1 . 1 7 8 l E 00 3 . 2 8 4 1 E - 0 1 1.1301E 00 6 . 5 3 2 5 E - 0 1 1 . 2 5 9 5 E 00 8 . 8 2 6 l E - 0 1 1.2792E 00 1 .0513E 00 1.2931E 00 1 .1781E 00 :.3014E 00 1.2562E 00 1.3056E 00 1 . 2 9 6 8 1 00

TAU = 0.500

X l J l Y I J I 1.0274E 00 6 . 8 5 2 9 E - 0 3 1 . 1 0 3 1 E 00 4 .9258E-02 1 .1900E 00 2 . 5 8 6 5 E - 0 1 1 .2551E 00 5 . 8 2 7 9 E - 0 1 1 . 2 9 4 5 E 00 8 . 4 0 0 8 E - 0 1 1 . 3 2 1 6 8 00 1 . 0 4 l O E 00 1 .3413E 00 1 .1975E 00 1 .3531E 00 1 . 2 9 6 2 E 00 1 .3592E 00 1 .3481E 00

TAU = 0.600

X I J I Y I J I 1.0276E 00 6 . 1 9 9 8 E - 0 3 1 .1048E 00 4 . 1 4 0 4 E - 0 2 1 .1985E 00 2 . 0 8 4 6 E - 0 1 1.2753E 00 5 . 2 1 0 7 E - 0 1 1 .3244E 00 I . 9 8 Z O E - 0 1 1 .3594E 00 1.0275E 00 1.3853E 00 1.2128E 00 1 .4012E 00 1.3323E 00 1.4094E 00 1 . 3 9 5 8 8 00

TAU = 0.800

X l J I Y I J I 1.028OE 00 5 . 2 2 0 8 E - 0 3 1.1071E 00 3 . 3 2 4 1 E - 0 2 1.2096E 00 1 . 4 5 1 2 E - 0 1 1.3053E 00 4 . 2 0 0 9 E - 0 1 1.3729E 00 7 . 1 8 3 5 E - 0 1 1.4241E 00 9 . 9 4 3 9 E - 0 1 1.46358 00 1.2337E 00 1.4883E 00 1.3950E 00 1.5013E 00 1.4827E 0 0

N A L P H A I Y I R E T A l N l A L P H A I N I B E T A l N l A L P H A I N I B E T A I N I ALPHA1 N I RETAIN I -1 9 . 5 4 8 2 E - 0 1 8 . 5 3 3 6 E - 0 1 7 .7350E-01 6 . 5 2 8 7 E - 0 1 0 1 . 2 2 6 6 E 00 7 . 0 5 2 2 E - 0 1 1 .2545E 00 6 . 6 5 3 9 E - 0 1 1 .2781E 00 6 . 3 0 4 6 E - 0 1 1.3165E 00 5.714OE-01 1 - 3 . 8 0 6 8 E - 0 2 - 3 . 3 1 0 l E - 0 1 - 5 . 2 9 1 4 E - 0 2 - 4 . O L 3 3 E - 0 1 -6 .8791E-02 - 4 . 6 8 3 0 E - 0 1 - 1 . 0 2 6 5 E - 0 1 - 5 . 9 3 7 1 E - 0 1

TAU = 2 . 5 0 0 TAU = 1.000 TAU = 1 .500 TAU I 2.000

L I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I X l J l Y I J I 0 . 0 1 7 1 l.OZ82E 00 4.5059E-03 1 . 0 2 8 7 E 00 3 . 3 1 7 8 E - 0 3 1 .0289E 00 2 . 5 7 1 0 E - 0 3 1.0290E 00 2 . 0 5 3 5 E - 0 3 0 .0935 1 .1088E 00 2 . 8 2 8 3 E - 0 2 1 .1115E 00 2 . 0 5 6 8 E - 0 2 1 .1130E 00 1 . 5 8 4 8 E - 0 2 1.1139E 00 1 . 2 6 1 4 E - 0 2 0 . 2 4 7 5 l . 2 1 6 5 E 00 1 . 0 9 6 8 E - 0 1 I . 2 2 6 0 E 00 6 . 9 0 1 4 E - 0 2 1 .2309E 00 5 .0956E-02 1.2338E 00 3 . 9 9 4 2 E - 0 2 0 .5106 1 . 3 2 6 l E 00 3 . * 3 1 3 E - 0 1 1 . 3 5 6 k E 00 2 . 1 9 9 6 6 - 0 1 1 .3716E 00 1 . 5 2 9 7 8 - 0 1 1.3802E 00 1 . 1 3 4 7 E - 0 1 0.9128 1 . 4 l O l E 00 6 . 4 5 0 9 8 - 0 1 1 . 4 7 2 l E 00 4 . 9 2 5 0 E - 0 1 1 .5080E 00 3 . 7 8 4 6 E - 0 1 1.5298E 00 2 . 9 4 1 2 E - 0 1 1 . 6 5 1 4 1 .4774E 00 9 . 5 5 8 8 E - 0 1 1 . 5 7 6 0 8 00 8 . 4 9 6 4 E - 0 1 1 .6418E 00 7 . 4 2 3 5 E - 0 1 1.6868E 00 6 . 4 1 9 3 E - 0 1 3 . 4 9 2 5 1 .5312E 00 1 .2444E 00 1 .6668E 00 1 . 2 4 0 2 E 00 1.7679E 00 1.2064E 00 1.8447E 00 1 .1546E 00 9 .2178 1.5659E 00 1 .4474E 00 1 . 7 2 8 9 E 00 1 .5453E 00 1 . 8 5 9 0 1 00 1 .6076E 00 1 + 9 6 4 7 E 00 1 .6435E 00

4 8 . 0 3 3 4 1.5843E 00 1 . 5 6 0 6 E 00 1 .7631E 00 1 . 7 2 5 5 E 00 1 .9108E 00 1 .8582E 00 2.0350E 00 1 .9664E 00

. .. . . . . - . . . . - . . . . . . . . . -1 5 . 6 4 2 8 E - 0 1 4 . 1 6 3 2 E - 0 1 3 ; 2 2 9 4 E - 0 1 2 .5813E-01 0 1.3464E 00 5 . 2 2 7 9 E - 0 1 1 .3982E 00 4 . 3 0 3 5 E - 0 1 1 . 4 3 0 9 % 00 3 . 6 3 7 8 E - 0 1 1.4529E 00 3 . 1 3 1 1 E - 0 1 1 - 1 . 3 8 1 9 E - 0 1 - 7 . 0 9 5 3 E - 0 1 - 2 . 2 9 0 7 E - 0 1 - 9 . 6 6 1 5 E - 0 1 - 3 . 1 7 6 6 E - 0 1 - 1 . 1 8 6 3 E 00 - 4 . 0 0 8 7 E - 0 1 -1 .3782E 00

TAU = 3.000 TAU = 3.500 TAU = 4.000 TAU = 4 .500

Z l J I X I J I Y I J I X I J I Y l J l X l J l Y I J I X I J I Y I J I 0.0171 1.0291E 00 1 . 6 7 5 0 E - 0 3 1 . 0 2 9 2 E 00 1 . 3 8 4 6 E - 0 3 1 . 0 2 9 3 8 00 1 . 1 6 5 0 E - 0 3 1.0293E 00 9 . 8 7 9 5 1 - 0 4 0 .0935 1.1145E 00 1 . 0 2 6 3 E - 0 2 1 . 1 1 4 9 E 00 8 . 4 8 7 5 E - 0 3 1 .1152E 00 7 . l l l l E - 0 3 1.1154E 00 6 . 0 2 2 3 E - 0 3 0 .2475 1 . 2 3 5 7 1 00 3 . 2 2 4 1 1 - 0 2 1.237OE 00 2 . 6 5 2 2 E - 0 2 1 .2379E 00 2 .2129E-02 1.2385E 00 1 .8677E-02 0 .5106 1 .3855E 00 8.8157E-02 1 . 3 8 8 9 1 00 7 . 0 7 3 2 8 - 0 2 1 .3912E 00 5 .8047E-02 1.3928E 00 4 . 8 4 2 9 E - 0 2 0 .9128 1.5436E 00 2 . 3 1 6 3 E - 0 1 1 . 5 5 2 5 1 00 1 . 8 4 9 8 E - 0 1 1 .5586E 00 1 . 4 9 7 7 E - 0 1 1 .5627E 00 1 . 2 2 8 6 E - 0 1 1 . 6 5 7 4 l . 7 1 8 2 E 00 5 . 5 1 5 5 E - 0 1 1 . 7 4 0 3 1 00 4 . 7 2 0 8 E - 0 1 1 .7561E 00 4 . 0 3 2 7 E - 0 1 1.7674E 00 3 . 4 4 3 0 E - 0 1 3 .4925 1 . 9 0 3 8 1 00 1.0921E 00 1 . 9 4 9 5 1 00 1 . 0 2 3 8 E 00 1 . 9 8 5 1 1 00 9 . 5 3 1 1 E - 0 1 2.0130E 00 8.8249E-01 9 . 2 1 7 8 2.0514E 00 1.6592E 00 2.1231E 00 1 .6593E 00 2 .1827E 00 1 .6471E 00 2.2324E 00 1.6254E 00

48.0334 2.1405E 00 2.0550E 00 2.2308E 00 2.1276E 00 2 . 3 0 8 5 E 00 2 .1869E 00 2.3757E 00 2.2350E 00

N A L P H A I Y I B E T A l N l A L P H A I N I B E T A I N I ALPHAI N1 BETA1 N I A L P H A I N I E E T A I N I -1 2 . 1 0 6 6 E - 0 1 1 .7464E-0 1 1 . 4 6 6 2 E - 0 1 1 . 2 4 3 9 E - 0 1 0 1 .4683E 00 2 . 7 3 1 4 E - 0 1 1 .4794E 00 2.4084E-01 1.6876E 00 2 . 1 4 2 4 8 - 0 1 3.4937E 00 1 .9200E-01 1 - 4 . 7 7 5 8 E - 0 1 - 1 . 5 4 7 5 E 00 -5 .4759E-01 -1 .b918E 00 - 6 . 1 1 1 3 E - 0 1 -1 .83ZZE 00 -6 .6864E-01 -1.9530E 00

OMEGA * 0.90 TAU = 15.00 TAU - 5.000 TAU = 7.500 TAU = 10.00

Z I J I X l J l Y I J I X I J I Y l J I X I J I Y I J I X l J l Y I J I 0 . 0 1 7 1 1.0293E 00 8.4544E-04 1 . 0 2 9 4 1 00 4 .2978E-04 1.0294E 00 2 .4932E-04 1.0294E 00 1 . 0 3 1 2 8 - 0 4 0.0935 i . 1 1 5 5 E 00 5 .1471E-03 1.1158E 00 2.6048E-03 1.1159E 00 1 . 4 9 1 9 8 - 0 3 1.1160E DO 6 . 2 0 3 3 E - 0 4 0 .2475 1.2389E 00 I . 5 9 1 6 E - 0 2 1 .2400E 00 7.9704E-03 1.24OZE 00 4.534OE-03 l . 2 4 0 4 E 00 1.8688E-03 0 .5106 1.3940E 00 4.0917E-02 1 - 3 9 6 5 E 00 1 .9984E-02 1 .3973E 00 1 .1207E-02 1.3976E 00 4.5CObE-03 0.9128 1 .5656E 00 l.OZOZE-01 1 - 5 7 1 8 E 00 4 . 6 6 3 4 E - 0 2 1 . 5 7 3 5 E 00 2 .5236E-02 1.57438 00 9 . 8 6 2 3 E - 0 3 1 .6574 1.7757E 00 2.9410E-01 1 .7941E 00 1 . 3 8 1 4 E - 0 1 1 .79898 00 7 . 0 6 1 6 E - 0 2 1.8OlOE 00 2 . 4 7 5 9 E - 3 2 3 .5925 2.0350E 00 8 . 1 3 5 4 E - 0 1 2 . 0 9 3 1 1 00 5 . 1 9 1 6 1 - 0 1 2 .1127E 00 3 . 2 1 5 8 E - 0 1 2.1228E 00 1 . 2 3 1 9 E - 0 1 9 .2178 2 .2742E 00 1.5964E 00 2.4041E 00 1.3910E 00 2 .4638E 00 1.1584E 00 2.5085E 00 7 . 5 8 0 0 E - 0 1

40 .0334 2 .4341E 00 2 .2738E 00 2.6343E 00 2 .3703E 00 2 .7447E 00 2.3715E 00 2.8514E 00 2 . i 5 7 8 E 00

N A L P H A l Y I B E T 4 l N I 4 L P H A l N l BET4 I N I 4 L P H A I N I B E T A I N 1 4 L P H A I N l B E T 4 l N l 1 . 3 0 1 1 E - 0 2

0 1.4985E 00 3 . 7 3 1 9 E - 0 1 1.5107E 00 I . 1 1 5 1 E - 0 1 1 .5151E 00 7.L15b5E-02 1.518CE 00 4 .6288E-02 1 - 7 . 2 0 6 3 E - 0 1 - 2 . 0 6 2 Z E 00 - 9 . 1 5 2 2 E - 0 1 -2 .4793E 00 -1 .0366E 00 -2 .7584E 00 -1 .1705E 00 - 3 . 1 0 9 3 E 00

3 . 1 1 5 6 E - 0 2 5 . 4 1 8 4 E - 0 2 -1 1.0647E-01

TAU = 2 0 . 0 0 TAU = 25.00 TAU = 30.00 T4U i 40.00

2 1 J 1 X l J I Y I J I X I J I Y I J I X I J I Y I J I X I J I Y I J I 0;0171 1.0294E 00 5 . 2 8 7 9 E - 0 5 1 .0294E 00 3 . 1 0 4 5 E - 0 5 1 . 0 2 9 5 E 00 1 . 8 9 6 2 E - 0 5 1.0294E 00 1 . 0 1 0 3 E - 0 5 0.0935 1 .1160E 00 3 . 1 7 3 6 E - 0 4 1 - 1 1 6 0 E 00 1 . 8 6 0 0 E - 0 4 1 . 1 1 6 0 E 00 1 . 1 9 d 4 E - 0 4 1.1160E 00 6 . 0 4 0 7 E - 0 5 0.2475 1.2404E 00 9 . 5 0 9 3 E - 0 4 l . 2 4 0 4 E 00 5 . 5 5 3 0 E - 0 4 I . 2 4 0 k E 00 3 . 5 6 8 1 E - 0 4 1.2404E 00 1 . 7 9 2 4 E - 0 4 0 .5106 1.3977E 00 2 .2868E-03 1.3977E 00 1 . 3 2 6 4 E - 0 3 3.3977E 00 8 . 4 b 2 4 E - 0 4 1.3917E 00 4 . 2 3 4 1 E - 0 4 0 .9128 1 .5744E 00 4 . 8 7 2 5 E - 0 3 1.5745E 00 2 . 7 9 2 3 E - 0 3 1 .5745E 00 1 .77LZE-03 1.5745E 00 8 . 7 4 7 5 E - 0 4 1 .6574 1 .8014E 00 1 . 1 5 0 8 E - 0 2 1 .8015E 00 6 . 3 8 1 9 E - 0 3 1 .8015E 00 3 . 9 6 7 8 E - 0 3 1.8015E 00 1 .9134E-03 3.4925 2 .1246E 00 5 . 1 5 0 1 E - 0 2 2 .1250E 00 2.4564E-02 2.1252E 00 1.3491E-02 2.1253E 00 5 . 6 6 2 1 E - 0 3 9 ; z l i i s;;217€ 00 4 . 8 0 3 8 E - 0 1 2 .5262E 00 3 . 0 1 2 3 E - 0 1 2.528OE 00 1.81170E-01 2.5290E 00 7 . 5 5 3 4 E - 0 2

48.0334 2.8974E 00 2.0919E 00 2 . 9 2 0 l E 00 1 . 9 1 6 8 E 00 2 . 9 3 3 l E 00 1.7470E 00 2.9468E 00 1 . 4 3 9 9 t O C

N A I PHllNI B F T d l N l A L P H A l N l B E T 4 l N l 4 L P H A I "I I BET41 Y I A L P H A I Y I D E T A I N 1 . . . . . . . . ~~

-1 6.6801E-03 3 . 9 2 3 4 E - 0 3 2 .5293E-03 1 . 2 7 8 8 E - 0 3 0 1 .5188E 00 3 . 1 4 4 7 E - 0 2 1 .5191E 00 2 . 3 3 2 b E - 0 2 1 .5193E 00 1 . 8 5 3 4 E - 0 2 1.519LE 00 1 . 2 6 3 7 E - 0 2 I -1 .2382E 00 - 3 . 3 2 4 9 E 00 -1 .2175E 00 -3 .4745E 00 -1.3025E 00 -3 .5869E 00 -1 .3322E 00 -3 .7492E 00

TAU = 50.00 TAU = 75.00 TAU = l 0 O . G TAU = 200.0

Z l J l 0.0171 0 . 0 9 3 5 0 .2475 0 . 5 1 0 6 0 . 9 1 2 8 1 . 6 5 7 4 3.4925 9 .2178

48.0334

X I J I Y l J l 1 .0294E 00 6 . 1 5 5 0 E - 0 6 1.1160E 00 3 . 6 7 2 0 E - 0 5 i;iL04E 00 i . 0 8 6 9 ~ - 0 4 1 .3977E 00 2 .5562E-04 1 .5745E 00 5 . 2 4 3 3 E - 0 4 1 .8015E 00 1 . 1 2 9 8 E - 0 3 2.1253E 00 3 . 1 4 0 4 E - 0 3 2 .5292E 00 3 . 2 1 3 8 E - 0 2 2.9526E 00 1 . 1 8 l I E 00

X I J I Y l J I 1.0294E 00 1.9751E-06 1 - 1 1 6 0 E 00 1 .6842E-05 1 .2404E 00 4.9675E-05 1 ,3977E 00 1 . 1 6 2 Z E - 0 4 1.5145E 00 2 .3641E-04 1 .8015E 00 5.0071E-04 2.1253E 00 1.3116E-03 2 .5293E 00 b . 4 8 5 8 E - 0 3 2 .9583E 00 7 . 1 4 9 3 E - 0 1

X I J I Y I J I 1 .0292E 00 1 . 6 2 9 7 E - 0 6 I . l l 6 O E 00 9 .70bbE-Ob 1.24OLE 00 Z.8633E-05 1 . 3 9 7 7 E 00 6 .6934E-05 1 .5745E 00 1 . 3 5 9 5 E - 0 4 1 .8015E 00 2 . 8 6 9 9 E - 0 4 2 . 1 2 5 3 f 00 7 . 4 3 M E - 0 4 2 .5294F 00 2 . 8 1 7 8 E - 0 1 2.9600; 00 4 . 3 ; 7 6 € - 0 i

X I J I Y I J I 1.0294E 00 2 . 1 7 6 8 E - 0 1 1.11bOE 00 1 . 2 7 9 3 E - l 6

N A L P H 4 1 V l B E T A I N 1 4 L PH 4 I N I BETA I N I b L P H 4 l " I l 8 E T 4 1 V I 4 L P H d l ; Y I RE T4 I N I -1 7 . 7 8 5 0 E - 0 4 2 . 0 6 2 1 E - 0 4 2 . 7 1 8 5 E - 0 5 3 . 5 5 8 1 E-04

0 1 .5194E 00 9 . 4 8 9 9 E - 0 3 1 .5195E 00 5 .3691E-03 1 .5195E 00 3 .2108E-03 1.5195E 00 4 . 2 5 7 7 C - 0 4 1 -1 .3492E 00 -3 .864bE 00 -1.3724E 00 -4 .0517E 00 -1 .3850E 00 - * . I o 0 7 E 00 -1 .4018E 00 - 4 . 3 0 4 0 E 00

TAU = 286.6

I I J I X I J I Y l J l 0.0171 1.0294E 00 4 .4028E-08 0.0935 1.1160E 00 2 . 2 2 7 3 E - 0 7 0 .2475 1.2kO4E 00 6 .5119E-07

0.9128 1.5745E 00 3 1 1 1 9 4 E - 0 6 1 .6574 1 .8015E 00 6 1 5 8 1 4 E - 0 6 3 .4925 2 .1253E 00 1 .7013E-05 9.2178 2 . 5 2 9 4 1 00 6 .103OE-65

48.0334 2 . 9 6 1 0 E 00 9 . 9 8 9 1 E - 0 3

U l J l L I J I H I J I 1.6768E-02 1 .7054E-02 3 .1237E-02 8 .55471-02 9 .3550E-02 7 .8757E-02 1 . 9 8 3 8 1 - 0 1 2.4748E-01 1 . 4 2 6 7 E - 0 1 3.38OlE-01 5 . 1 0 5 9 E - 0 1 2.3480E-01 4.7721E-01 9.128OE-01 3 - 0 7 1 1 E - 0 1 6 . 2 3 6 9 1 - 0 1 1 .657kE 00 1.2427E-01 7 . 7 l k l E - 0 1 3 .4925E 00 5 .158kE-02 9 .0213E-01 9.2178E or) Z.I~WE-OZ 9 . 7 9 6 1 ~ - 0 1 4 .80331 01 6 . 9 1 7 0 ~ - 0 3

N A L P H 4 l V l R E T A I N 1 -1 4.7463E-06 0 1 .5195E 00 7 .4165E-05 1 -1 .4040E 00 -4 .3221E 00

I .o

0.8

0.6

y( p , To)

0.4

0 . 2

0

w =0.1

~

Lef

1.01 1.02 1.03 X(p, To)

' t to Right Order (Solid Lines)

0.5 0.6 0.7 0 .8 0.9 I .o

.o

1 I .04

Figure 1.- Y(p; T ) vs. X(p; T ) for coherent sca t te r ing ; 0 S p < 1, 0 0 albedo w = 0.1.

I . (

0.t

0.6

Y ( p , r o )

0 . L

0.2

0

w =0 .2

I .02

~~

eft to Right Orde (Solid Lines)

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

I .o

p = 0.1

, 1

1.08

Figure 2.- Y(p; T ~ ) vs. x(p; T ) f o r coherent sca t te r ing ; 0 5 p 5 1, albedo w = 0.2.

0

92

I

1.0

0 . 8

0.6

Y( p , r o )

0.4

0.2

I . 0

eft to Right Order (Sol id L i n e s )

0 . 2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 I .o

p = 0.1

Figure 3.- Y ( p ; T ~ ) vs. X(p; T ~ ) for coherent scattering; 0 5 p s 1,

albedo w = 0.3.

93

I .o

0.8

0.6

y ( p , rol

0.4

0.2

O1

.eft to Right Orde (Solid Lines)

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 I .o

p = 0.1

.o

1 ._

1.20

Figure 4.- Y ( p ; T ) vs. X(p; T ) for coherent scat ter ing; 0 S p < 1, 0 0

albedo w = 0.4.

94

.eft to Right Ordei (Solid Lines)

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

I .o

p = 0.1

Figure 5.- Y(p; T ) vs. X(p; I- ) f o r coherent sca t te r ing ; 0 I; p s 1, 0 0

albedo w = 0.5.

95

I .

I . (

0. I

0.t

W p , d

0 . d

0. i

0

-eft to Right Ordei (Solid Lines)

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 I .o

p = 0.1

I .32 1

Figure 6. - Y(p; T ) vs. X(p; T ) for coherent scattering; 0 < p 2 1, 0 0

albedo w = 0.6.

r. =

I .o

0.8

0.6

y ( p , To)

0.4

0.2

-eft to -Right Ordei (Solid Lines)

/ A = 0.1 0 . 2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 I .o -

O I .

Figure 7. - Y(p; T ) vs. X(p; T ) f o r coherent scattering; 0 s p. 5 1, 0 0

albedo w = 0.7.

97

-

Lef t to Right Order (Solid Lines)

p = 0.1

0.8

._

Figure 8.- Y(p; T ) vs. X(p; T ) f o r coherent scat ter ing; 0 I IJ- 2 1,

albedo w = 0.8. 0 0

w = 0.9

I .c

0. f

0.f

y ( p , To)

0.1

0. ~

C

.eft to Right Ordei (Solid Lines)

p = 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 I .o

0

1

Figure 9.- Y ( p ; T ~ ) vs. X(p; T ) for coherent sca t te r ing ; 0 s p s 1,

albedo w = 0.9. 0

99

1.c

0. E

0.6

y ( / l . , T o )

0.4

0.2

O 1.0

~

.eft to Right Order (Solid Lines)

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

I .o

p = 0.1

1.2 I .4 I .6 1.8 1

.o

Figure 10.- Y(p; T ~ ) vs. X(p; T ) for coherent scat ter ing; 0 I p s 1,

albedo w = 0.95. 0

100

Left to Right Order 1 (Solid Lines)

Figure 11.- Y(p; T ) vs. X(p; T ) for coherent s ca t t e r ing ; 0 s p 5 1,

albedo w = 0.96. 0 0

101

1.0

0.8

0.6

y ( p , To)

0.4

0.2

.eft to Right Order (Solid Lines)

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

I .o

p = 0.1

I

Figure 12.- Y ( p ; T ) vs. X(p; T 0 ) f o r coherent scat ter ing; 0 s p 5 1,

albedo w = 0.97. 0

102

. ... - . . , , , ,

1.c

0. E

0.6

y ( p , To)

0 . 4

0 . 2

OI

Left to Right Ordei (Solid Lines)

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 I .o

p = 0.1

Figure 13.- Y(p; T ) vs. X(p ; T ) for coherent sca t te r ing ; 0 5 p s 1, 0 0

albedo w = 0.98.

103

I I I I 1111mlll11111

Left to Right Order (Solid Lines) u = 0.1

1.0

0.8

0.6

Y ( p , r o )

0.4

0.2

O 1

Figure 14 . - Y(p; T ~ ) vs. X(p; T 0 ) f o r coherent scat ter ing; 0 5 p 5 1,

albedo w = 0.99.

104

I .c

0. E

0. t

y ( p , To)

0 . L

0.2

u = 1.0

Left to Right Ordei (Solid Lines)

0 . 2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

I .o

p = 0.1

Figure 15.- Y(p; T ) vs. X(p; T ) for coherent scat ter ing; 0 < p 5 1, albedo w = 1.0 (conservative case) .

0 0

X ( p , To)

Figure 16.- Y(y; T ~ ) vs. X(y; T ) f o r coherent scat ter ing; extended range 0

of y(0 < y < w), albedo w = 0.1.

106

1.4

1.2

1.C

0. f

Y(p,ro

0.6

0.

0.:

w.0.2

eft to Right Order (Solid Lines)

p = 0.1 = 4.0 0.2 5.0 0.3 7 .5 0.4 10.0 0.5 15.0 0.6 20.0 0.8 50.0 1.0 100.0 1.5 500.0

2.0 1000.0 3.0 CO

1.12

Figure 17.- Y ( p ; T ~ ) vs. X(p; T ) for coherent scat ter ing; extended range of

p(0 < p < m), albedo w = 0.2. 0

107

1.4

Left to Right Order (Solid Lines)

Figure 18.- Y(p; T ~ ) vs. X(p; T ) for coherent scattering; extended range 0

p(0 < p < m), albedo w = 0.3. O f

108

I .6

I .4

w . 0 . 4

p = 0.1 = 4 . 0 5.0 1

0.3 7.5

X ( p , To)

Figure 19.- Y(p; T ) vs. X(p; T ) for coherent scattering; extended range of 0 0

p(0 < p < m), albedo w = 0.4.

I-'

I .‘

I.:

1.c

0.8

Y ( p , To)

0.6

0.4

0.2

0

w . 0 . 5

Left to Right Order (Solid Lines)

p = 0.1 = 4.0

7.5 , A n

0.3 A ”

1.0 1.08 1.i6 1.24 1.32 X ( p , To)

I .40 I

Figure 20.- Y(p; T ) vs. X(p; T ) f o r coherent sca t te r ing ; extended range of 0 0

p(0 < p < m), albedo w = 0.5.

110

I.

I .

I .

I .

Y ( t L , T

0.

0

0

0

w = 0.6 ~

e f t to Right Order (Solid Lines)

p = 0.1 = 4.0 0.2 5.0 0.3 7.5 0.4 10.0 0.5 15.0 0.6 20.0

-i 1.6

Figure 21.- Y(p; T ) vs. X(p; T ) for coherent scat ter ing; extended range of 0 0

p(0 < p < m), albedo w = 0.6.

111

II I I I I I I I I Ill llIl"11ll111

I

I

I

I

I

Y ( / L , T c

0

0 .

0.

0.

w = 0.7

p = 0.1 = 4.0 0.2 5.0 0.3 7.5 0.4 10.0 0.5 15.0 0.6 20.0 0.8 50.0

I 1.0 l0O.O

Figure 22.- Y(p; T ) vs. X(p; T ) for coherent scattering; extended range of

p(0 < p < m), albedo w = 0.7. 0 0

112

2.4

2 .o

1.6

Y ( p , r o )

1.2

0. a

0.4

0 I

w = 0.8

Left to Right Ordet - _.

I (Solid Lines) I p = 0.1 -4.0

0.2 5.0 0.3 7.5 0.4 10.0 0.5 15.0 0.6 20.0 0.0 50.0 1.0 100.0 1.5 500.0 2.0 1000.0 3 , O COD

I I

\

a , I

I

! I I

I

I I I

I I

, I

I

I

I

2 --i

Figure 23.- Y(p; T ~ ) vs. X(p; T ) for coherent sca t te r ing ; extended range of

p(0 < p < a), albedo w = 0.8. 0

I I I I I I I Ill 111llm1l1ll

2.8 -

2.4 -

-

2.0 -

w.o .9


p = 0.1 = 4.0 0.2 5.0 0.3 7.5 0.4 10.0 0.5 15.0 0.6 20.0 0.8 50.0 1.0 100.0 1.5 500.0

2.0 1000.0 3.0 CO

I I

I I

I I

I I

I I

I I

I I

I I

I I

I

I I

/ I

I

Figure 24.- ~ ( p ; T ) vs. ~ ( p ; T ) for coherent sca t te r ing ; 0 0

p(0 < p < a), albedo w = 0.9.

I

I I

;." I

I

.Go I

=F 3:O

f

1

I

I

I

I

I I I I I I I I I

I I 1 I I I

I I I I I I I I ,

extended range of

114

w . 0 . 9 5

1 4.6

Figure 25. - Y(p; T ) vs. X(p; - r0) for coherent sca t te r ing ; extended range of 0

p(0 < p < a), albedo w = 0.95.

w . 0 . 9 9 ~. .eft to Right Ordei

(Solid Lines) p = 0.1 = 4.0

0.2 5.0 0.3 7.5 0.4 10.0 0.5 15.0 0.6 20.0 0.0 50.0 1.0 100.0 1 .5 500.0

3

Figure 26.- Y(p; T ) VS. X(p; T ) f o r coherent scat ter ing; extended range of 0 0

p(0 < p < m), albedo w = 0.99.

116

~ . _ . ... ...... ....., ,,. I

w =0.995

Left to Right Order I (Solid Lines) 1 p = 0.1 = 4.0

5.0 1 7.5

I .5 500.0 2.0 1000.0

1510

Figure 27.- Y(p; T ~ ) vs. X(p; T ) for coherent sca t te r ing ; extended range of 0

p(0 < p < m), albedo w = 0.995.

w =0.999 .eft to Right Ordei

[Solid L ines) p = 0.1 = 4.0

0.2 5.0 0.3 7.5 0.4 10.0 0.5 15 0 0.6 20.0 0.0 50.0 1.0 100.0 1.5 500.0 2.0 ~000.0 3.0 a3 J

I I I I I

I ,

~ L-

2910 -A

33.0

Figure 28.- Y(p; T ~ ) vs. X(p; T ) for coherent sca t te r ing ; extended range of 0

p(0 < p < m), albedo w = 0.999.

118

I

W ' 1 . 0

Left fo Right Order (Solid Lines)

p = 0.1 = 4.0

0.3 0.4 0.5 0.6 20.0 0.0 50.0 1.0 100.0 1.5 500.0 2.0 1000.0 3.0

X(pL,ro)

Figure 29.- Y ( p ; T ~ ) vs. X(p; T ) f o r coherent scat ter ing; extended range of

p(0 < p < m) albedo w = 1.0 (conservative case). 0

Id

I I I I I I I1 II.lm1ll1111ll

.O

Figure 30.- Moments Bo(.,) vs. a ( T ) for coherent Scattering; 0 < W S 1. 0 0

120

2

Figure 31.- Moments pl(To) vs. a1(7 ) f o r coherent scattering; 0 5; w < 1. 0

121

I

0

0

pe (Too)

C

I I I I

Figure 32.- Moments p 2 ( ~ O ) vs. a2(7 ) for coherent scat ter ing; 0 s w 5 1. 0

122

I

I I i i i i i

Figure 33.- Moments P 3 ( ~ o ) vs. a3(7 ) for coherent scattering; 0 < W < 1. 0

123

I .d

I.:

1.c

0.e

y(Z, To)

0.6

0.4

0.2

O1

w.o.1

Z = 0.1 =4.0 0.2 5.0 0.3 7.5 0.4 10.0 0 . 5 15.0

I I 1

' I I

I

I I

/ ; / /

I I

I I I

I I ,

I

I I

~ !

Figure 34.- Y(z; T ~ ) vs. X ( Z ; T ) for noncoherent (Doppler) scattering;

albedo w = 0.1. 0

12 4

1.4

1.2

1.0,

0.8

Y ( z , r . )

0.6

0.4

0 . I

c

w . 0 . 2

I (Solid Lines)

0.2 5.0 0.3 7.5 0.4 I O 0 0.5 15.0 0.6 20.0 0.0 50.0 =

4 1.12

Figure 35.- Y(z; T ) vs. X ( z ; T 0 ) for noncoherent (Doppler) sca t te r ing ; albedo w = 0.2.

0

_- I I I I 1111111111111111.1 111111111111111111 11111 I 1 1 1 1 1 1 ~l.1111lIuL.~

'.4rw, w . 0 . 3

Fi .gure 36.- Y ( Z ; T ~ ) vs. X ( Z ; T ) for noncoherent (Doppler) sca t t e 0

albedo w = 0.3.

? 1.20

!ring;

126

I

1.4-

1.2 -

-

0.2 5.0 I 0.3 7.5 0.4 10.0 1 0.5 15.0

T o =

Figure 37.- Y(z; T ) vs. X ( 2 ; T ) f o r noncoherent (Doppler) sca t te r ing ;

albedo w = 0.4. 0 0

127

I1 II I I I I1 II ll11l1111l1111lll11l~11l11l1111

I . c

I .'

1.2

1.0

0.8

Y ( z , To)

0.6

0.4

0.2

w s O . 5

Orde (Sol id Lines)

z = 0.1 = 4 . 0 0.2 5.0 0.3 7.5 0.4 10.0 0.5 15.0 0.6 20.0 0.8 50.0 1.0 100.0 1.5 500.0

2.0 1000.0 I 3.0 OD

I 1 I

I I

I I

f

1 I I I

I I

, I

/ /

~

1.0 1.08 1.16 1.24 1.32 X ( z , r . )

1 I

I ,

1 1 1 1

1 1 ' I

I I

1 I

I

I I

I I I

I I

I I

I I

1

I I

I

I

L

I I I I I I

I I I

I I I

I I I I I I I

I I

I I I

I I I I I I I

I I

I I I I

1

t i 0 !

Figure 38.- Y(z; T ) vs. X ( 2 ; T ) for noncoherent (Doppler) scattering; 0 0

albedo w = 0.5.

128

I.€

I .4

1.2

1.c

Y ( 2 , re)

0. E

0 . E

0.4

0.2

0

w = 0.6

e f t to Right Orde, (Solid Lines)

2 = 0.1 54.0 0.2 5.0 0.3 7.5 0.4 10.0 0.5 15.0 0.6 20.0 0.0 50.0 1.0 100.0 1.5 500.0 2.0 1000.0 3.0 03-

I I I I

I I I

/

-

I I I I I I I 1 I I

I I I I I I I I I I

I I

I I

1

I I I I I I I I I I I

I I I

-I 1.6

Figure 39.- Y(z; T ) vs. X(z; T ) for noncoherent (Doppler) sca t te r ing ;

albedo w = 0.6. 0 0

2 .(

I .t

1.6

1.4

I.:

Y ( 2 , To)

1.c

0.E

0 . E

0.4

0.2

0

w = 0.7

.e f t to Riaht Order1

4 , I I I I I I

I , I

, I I

I

1 I , I

, I , I I

i I

I ,

I

1.2 1.3 1.4 1.5 1.6 I .7 X ( Z ,To)

Figure 40.- Y(z; T 0 ) vs. X(z; T 0 ) f o r noncoherent (Doppler) scattering;

albedo w = 0.7.

. . .... . . . ..... .. . . . -

2.4

2.0

I .6

Y(Z , To)

1.2

0.0

0.4

w.O.8

Left to Right Order I (Solid Lines) 2 = 0.1 =4.0

0.2 5 . 0 0.3 7.5 0.4 10.0 0.5 15.0 0 6 20.0 0.8 50.0

2.2 4

Figure 41.- Y(z; T ~ ) vs. X(z; T ) f o r noncoherent (Doppler) sca t te r ing ;

albedo w = 0.8. 0

3.

2.

2.s

2.'

Y ( z , r ,

I.'

I.

0.

0.

(

w.0.9

F g h t (Solid Lines) I r l e r

z = 0.1 =4.0

7.5 0.4 10.0 0.5 15.0 0.6 20.0

I I I I I I I I I I I I I I I I I

- 1

Figure 42.- Y(z; T ~ ) VS. X(z; T 0 ) for noncoherent (Doppler) scat ter ing;

albedo w = 0.9.

I

4 . f

4.'

4 .(

3.6

3.2

2.E

2 . 4

Y(Z,T.)

2.c

4 4.6

Figure 43.- Y ( Z ; T ) vs. X(z; I- ) f o r noncoherent (Doppler) sca t te r ing ; 0 0

albedo w = 0.95, extra z- l ines a re z = 30, 200, 2,000, 5,000, 10,000 (long dashes).

w = 0.99


2 = 0.1 =4.0 0.2 5.0 0.3 7 .5 0.4 10.0 0.5 15.0 0.6 20.0 0.0 50.0 1.0 100.0 1.5 500.0

;“.:Lnes) Lett to Right Order

z = 0.1

0 . 4 2.0 1000.0 3.0 CD

Figure 44.- Y(z; I- ) vs. X ( z ; T ) f o r noncoherent (Doppler) sca t te r ing ; 0 0

albedo w = 0.99, ex t r a z- l ines a re z = 30, 200, 2,000, 5,000, 10,000 (long dashes ) .

I

18.0

-

16.0 -

14.0 -

12.0-

10.0 -

0.0 -

Y ( z , r o ) -

6.0 -

w ~0.995

.e f t to Righ-1 (Solid Lines)

z = 0.1 =4.0

0.4 10.0 0.5 15.0 0.6 20.0 0.8 50.0 1.0 100.0 1.5 500.0 2.0 1000.0 3.0 OD

+ 15.0

Figure 45.- Y(z; T ) VS. X(z; To) for noncoherent (Doppler) sca t te r ing ; 0

albedo w = 0.995, ex t r a z- l ines are

(long dashes).

z = 30, 200, 2,000, 5,000, 10,000

(a) X-function

Figure 46.- The X- and Y-functions vs. 2n T for coherent and noncoherent

scattering; albedo w = 0.2. 0

-. 1 1 1 1 - - 1 ~ . 1 - - ~ 1 . l l s l l 1 . 1 . . . . . 11111 I1111 111 1111111.1111111111 m11111 1111I 111111 I I II I I 111 111111 111..1111111111111 I I I I

1.0

0 . 0

Y

0.6

0.4

0.2

137

(a) X-function

Figure 47.- The X- and Y-functions vs. 2n I - ~ f o r coherent and noncoherent

sca t te r ing ; albedo w = 0.5.

I

I.

I

I .

0

Y

0

0

0

I I I I I I I I I I I I I I l l l l I I I I I I l l I 1 1 -

(b ) Y-function

Figure 47. - Concluded.

30

139

3.#

3.(

2. e

X

2 . :

I.€

1.4

I T I I l l 1 1 I I I I l l 1 1 I I 1 I I I l l 1 I I I I I I l l

w = 0.9

(a) X-function

Figure 48.- The X- and Y-functions vs. 2n T for coherent and noncoherent

scattering; albedo w = 0.9. 0

140

I 1 1 1 1 1 ' I I I I I I l l 1 I I I 1 1 1 1 1 I I I I I 1 1 1 l

3.51

30

( b ) Y-function

Figure 48.- Concluded.

141

1

I I

9

7

X

5

3

I

I I 1 I 1 1 1 1 1 I I I I I I 1 ' ' 1 I I I I 1 1 1 1 l I I I I I I I I

w.o.99

I- Non - coherent I ---- Gohereni

( a ) X-function

Figure 49,- The X- and Y-functions vs. 2n T~ f o r coherent and noncoherent

sca t te r ing ; albedo w = 0.99.

I

I I I I I I l l , I I 1 1 I I l l 1 I 1 1 1-T-

I C

E

E

Y

4

2

( b ) Y-function

Figure 49. - Concluded.

0. t

0 . E

P. (Too)

0 . 4

0.2

0

I I I i i i i

0

Figure 50.- Moments po(To) VS. a (T ) for noncoherent sca t te r ing ; 0 2 w S 1. 0 0

i44

2.4

2.(

1.1

-Pl(r0~

I.:

0.1

0.'

0

. 2

0

I p / I /

,, I / I,

/I I 'I I .;"

zoo, oo w - 0.995

1 ' l 0 . 9 9

I I I I I I I I I

.2 .4 .6 .8 - Q ~ k o l

Figure 51.- Moments - P l ( ~ o ) vs. ) f o r noncoherent scat ter ing;

0 < w < 0.995. 0

1 I I I I I l l I I I I I I l l 1 I I I I I I I I I I I I l l 1

// 0.95

Figure 52.- Moment vs. 2n I- f o r selected values of albedo w. 0

146

I I I I I I l l 1 I I I I I I r i I - I I I I I l l I I I I I I I l l

0.5

I I I I I I l l 1 I I I 1 1 1 1 1 I I I 1 1 1 1 100 I. IO 1 r.

F i p r e 53.- Moment - P = ( T ~ ) vs. 2n T f o r selected values of albedo W. 0

A-2952

I -

NASA-Langley, 1968 - 19

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION , WASHINGTON, D. C. 20546

OFFICIAL BUSINESS FIRST CLASS MAIL

POSTAGE AND FEES PAID NATIONAL AERONAUTICS AND

SPACE ADMINISTRATION

If Undeliverable (Section 158 Postal Manual) Do Not Return

.. _- - ._- - . - - Y -

‘ T h e aeronautical and space activities of the United States shall be conducted so as to contribute . . . to the expansion of human knowledge of phenomena in the atmosphere and space. T h e Administration shall provide for the widest practicable and appropriate dissemination of information concerning its activities and the results thereof.”

-NATIONAL AERONAUTICS AND SPACE ACT OF 1958

NASA SCIENTIFIC AND TECHNICAL PUBLICATIONS

TECHNICAL REPORTS: Scientific and technical information considered important, complete, and a lasting contribution to existing knowledge.

TECHNICAL NOTES: Information less broad in scope but nevertheless of importance as a contribution to existing knowledge.

TECgNICAL MEMORANDUMS : Information receiving limited distribution because of preliminary data, security classifica- tion, or other reasons.

TECHNICAL TRANSLATIONS: Information published in a foreign language considered to merit NASA distribution in English.

SPECIAL PUBLICATIONS: Information derived from or of value to NASA activities. Publications include conference proceedings, monographs, data compilations, handbooks, sourcebooks, and special bibliographies.

TECHNOLOGY UTILIZATION PUBLICATIONS: Information on technology used by NASA that may be of particular interest in commercial and other non-aerospace applications. Publications include Tech Briefs,

and Technology Surveys.

CONTRACTOR REPORTS: Scientific and technical information generated under a NASA contract or grant and considered an important contribution to existing knowledge. -

Utilization R~~~~~~ and N ~ ~ ~ ~ ,

Details on the availability of these publications may be obtained from:

SCIENTIFIC AND TECHNICAL INFORMATION DIVISION

NATIONAL AERONAUTICS AND SPACE ADMINISTRATION Washington, D.C. PO546

calculations of chandrasekhar's x- and y-functions and their … · 2013-08-31 · w analogs...

Documents