PB 151366

^ecknic&l ^iote N°7

LOW- AND VERY LOW-RADIOFREQUENCY TABLES OF GROUND

WAVE PARAMETERS FOR THE SPHERICAL EARTH THEORY:

THE ROOTS OF RICCATI»S DIFFERENTIAL EQUATION

(SUPPLEMENTARY NUMERICAL DATA FOR NBS CIRCULAR 573)

U. S. DEPARTMENT OF COMMERCE

NATIONAL BUREAU OF STANDARDS

NATIONAL BUREAU OF STANDARDS

technical *Vtete

N°7

LOW- AND VERY LOW-RADIOFREQUENCY TABLES OF GROUND

WAVE PARAMETERS FOR THE SPHERICAL EARTH THEORY:

THE ROOTS OF RICCATI'S DIFFERENTIAL EQUATION

(SUPPLEMENTARY NUMERICAL DATA FOR NBS CIRCULAR 573)

J. R. Johler

L. C. Walters

C. M. Lille y

The work described in this Technical

Note was sponsored by Air Force

Cambridge Research Center, Air

Research and Development Command,

CSO&ANo. 58-28(AFCRC)

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Price $ 2.25

Abstract

Theory

List of Tables

Tables

CONTENTS

Page

1

1 - 8

9

- 13

14 - 86

LOW- AND VERY LOW-RADIOFREQUENCY TABLES OF GROUND

WAVE PARAMETERS FOR THE SPHERICAL EARTH THEORY:

THE ROOTS OF RICCAT^S DIFFERENTIAL EQUATION

(SUPPLEMENTARY NUMERICAL DATA FOR NBS CIRCULAR 573)

by

J. R. Johler

L. C. Walters

C. M. Lilley

ABSTRACT

The roots of Riccati's differential equation are tabulated in

detail throughout the low- and very low-radiofrequency part of the

spectrum. The zeroes and certain other parameters used in the

calculation of the amplitude and phase of the ground wave by the

rigorous series of residues are also tabulated. This paper

supplements NBS Circular 573.

Theory

The calculation of the amplitude and phase of the radiofrequency ground wave has been discussed in detail . Perhaps,

the most tedious part of this calculation is the determination of

the zeroes of a series of residues which constitute the roots of an

equation representing the "Hankel approximation , "

1 J. R. Johler, W. J. Kellar, L. C. Walters, "Phase of the Low

Radiofrequency Ground Wave, " Natl. Bur. of Stds. Circular 573,

March 14, 1956.

2

B. Van der Pol and H. Bremmer, "The Propagation of Radio

Waves Over a Finitely Conducting Spherical Earth, " Phil. Mag.

S. 7, Vol. 25, No. 171. Suppl. June 1938, pp. 817-834. See

eq. (lib), p. 822.
6 =

e

-1

(1) r i 13 s ~7

2-

]

r 4-z Try

H

2

"T

3

4-(-2 r )T 3 s

exp

IT (1)

where 6 is a parameter dependent on the conductivity, dielectric

constant, and frequency; t is the complex root required for various

4

s = 1, 2, 3, ... corresponding to the terms of the residue series , (1) (1)

and H, (z) and H_ (z) are Hankel functions of the first kind of

i <L T1 2

T

order —*- and -—-, respectively.

In the limit, 6 = oo, eq. (1) reduces,

H2

H) [f i^ra n = (2)

or.

J

2 |j^-(-2 Tg

)TT exp (iir) 1 - J_ 2

-3- ( " 2 T

s >^" exP < iTr >

j = ° » < 3 > 3" "T

2 where, J

? (z) and J (z) are Bessel functions of order tt— and

T "~T

- -5- respectively. The roots of this equation, t = It | j s 1 00 s j 00 exp (i -3- ) have been tabulated , Table 7.

3

See op. cit. 1, p. 35, eqs. (80, 81, 82).

4

op. cit. 1, p. 5, eq. (27).

See op. cit. 1, p. 33, 1 t ] and It are given in Table 44

for s = to 49.

S, ° S, °°
-3-

Also, in the limit, 6=0, eq. (1) reduces,

e

T

(i>CjT <" 2 Ts^ = (4)

or,

1 -^-{ - 2 t ) exp ( i it) + J

1 (-2 t ) exp (i ir) ~T s = 0,(5)

where, J (z) and J . (z) are Bessel functions of order -4- and

T "T"

- -7T- . The roots of this equation, t = Jt J exp (i -r-

)

3 SjOS|0 -J

5 have been tabulated , Table 7. The following derivatives are evident from known properties

of Hankel functions:

6

(1)

H,

r 2tt ^ (z)= exp.i 3

T

L

(1)

H

2

(zj

T"

(1)

iz 1 (z) , (6)

f H

dz 22

(1)

(z) = exp

7T (1)

-y| H

x (z) 3~ H

3z 2

"T

(1)

(*) (7)

See G. N. Watson, "A Treatise on the Theory of Bessel Functions,

2nd Ed. Cambridge Univ. Press, 1952, p. 74.
-4-

Therefore,

(D ri 3

d6e dT_

H

_i |?(- 2t

s

> 2 ~ -1 3

3" (l) n "T

<- 2T s^ H

_2_ [T ( " 2t

s

) 2

exp (i -y)

(1)

- 1 +

-1

H

! T (-2r

g

) 2

, .3 (1)- 3 i 8 2 H L (-2r

g

) 2 I

tr exp (i -j-)

(Dn 3 1 H

l T^s*"2"

+ 2t.

-1

\l -2t EL

s 2

(Dn

7

(-2t )2

IT exp (i -^-)

(l)

ri

3 -, H

_i [7 ( - 2t

b )2

+

u

3 en;: 3-

(-2t JT H_ L±(-2t ) 2

s 2 3s

"T

L

exp (i -T-) (8)

or, applying eq. (1) again, results in the following differential

7 equation of Riccati :

d6 e -, c2 , , _ -3 -2t 6 +1=0 dT s e

(9)

Ibid. See for example, p. 92.
-5-

The roots, t , can now be found by expanding the differential

s equation (9), in power series of 6 and » with the following

.8 result

a 2 .3 1 4

T = T - - -*- T O + -=— 6

s s,o e 3s5 oe 2 e 4 2.5 -=- t 6

5 s, o e

14 A 6

9 s, o e

1 /c 4. q

3

* s — 7 58 2 .8

(5 + 8 t )6 + — t 6

7 s, o e 15 s, o e

328 16 4

81 S, O 9 S, O

.9 , f 423 , 1552 3

6 e + V "31T "T75" T

s,o

•( 75JA T

2 32 T

5 ^ 6

11 19T b,o TT s,o y °e *••

.10

]6

2

t I< 4- . e s (10)

T = T

S S, 00

1 2 T

S, 00

1 . 1

L8t

S, 00

i r 7

L12t " 16t

S, 00 S, 00 J 6' 96tS, 00 128t

5 , 1 1

s, oo e

L 40t

S, 00

21

320t

S, 00 256t

S, 00

Op. cit. 1, p. 35^ eqs. (86 - 90). The notation following eq. (89)

should read: J 8 tJ < -=- , and the notation following eq. (90)

12® i 1 6 t J > -=-.
-6-

29 . 77 . 21

: __ x _- x ._. 720t 1280t 1024t

1

3, 00 S, 00 S, 00

112t

T

J

r

3, 00 360- —t~ + it::—id

33

s. 00 2560t 2048tS, 00 3, 00

13

J 6

97 163 429 429

_ x __ x

TJ~ FT

4480t 2560t 7 8192t 32768t

S, 00 S, 00 S, 00 8, 00

1~8~

13661

288t 362880t 92160t

S, 00 3,00 3, 00

, 6769 , 2431

b~ + ~~ rr

+ —~ u

49152t

3, 00

+

715

65536- TT

3, 00 ITe

2309 820573 , __ 201600t 14515200t

3, 00 3, 00

37961 . 46189 , 2431

X ' ' ' -J -H T 3-7- X

460800t_ . 983040t 262144T . TT 10" + ...

3, 00 S, 00 3, 00

I6

2

e t

S |> 4 (ID

The results of the calculations at low- and very-low radiofrequencies are presented, Tables 16 to 40, and 49 to 73„ The

parameter, 8 , where,

8 = K exp i e e l!L .4, 4

T

e
-7-

i. presented, Tables 1 to 6. The parameter |6 2t I is also

G S

presented, Tables 7 to 15 and 41 to 47. Additional values of the

limiting roots, t and t , Table 7, can be readily calculated

S j) O S j 00 9 as follows :

Vl 7

S, O 1 23"

1 + 48 y. T

36

77125

82944 n

108056875

6967296 *1

s, 00

162375596875 -

- 10

334430208 y.7 1

2

7

y2 r

i 7 + 35

-r-!.1

_ 2 4

48 y 288 y.

181223

207360 y.

(12)

18683371

1244160 y.

91145884361

191102976 y

10

(13)

where,

Yi =

3tt

3tt

( 4s + 3)

y2

= ~ (4s + 1) .

(14)

(15)

J. C. P. Miller, "The Airy Integral, " Math. Tables. Part-Vol. B,

Univ, Press, Cambridge, 1946, p. B-48.
-8-

With the aid of the roots, t , it is not very difficult to

s

'

calculate the amplitude, jE J, and the phase, Arg E = <j> , of

the ground wave . It should be noted, however, that a large

number of terms, s, are required at very low frequencies and

short distances as a result of the slow convergence of the series

of residues.

TO

Op. cit. See eqs. (26, 27) p. 5 or eq. (78), p. 34.
Pag<

-9-

t List of Tables

Table 1. Ke ,

iji e as a function of frequency, f, for various

conductivity, a and dielectric constant, e~, €_=15,

cr= 5, 0.002 Z L 14

Table 2. Same, cr = 0.05, 0.001 15

Table 3. Same, <r = 0. 02, 0.0005 16

Table 4. Same, <r = 0.01, 0.0002 17

Table 5. Same, tr = 0.005, 0.0001 18

Tabl,e 6. Same, € = 80, cr = 5 (sea water). 19

Table 7. Limiting roots, t (6=0) and t (6 = oo) for s = to 100. s '° e s, oo e 2Q

The following Tables for typical land, cr = 0. 005, £ = 15:

Table 8.

J 6 T [, f = 0. 1, 0.2, 0. 5 kilocycles, s=0 to 50 21

Table 9. Same, B = 51 to 100 22

Table 10. Same, f = 1, 2, 3, 4 kilocycles, s = to 50 23

Table 11. Same, f = 5, 6, 7, 8 kilocycles, s = to 50 24

Table 12. Same, f = 9 kilocycles, s = to 50 25

Table 13. Same, f = 10, 20, 30, 50, 60, 70, 80, 90, 100, 26

200, 300, 400, 500, 600, 700, 800, s = to 10

Table 14. Same, f = 900, 1000, 1100, 1200, 1300, 1400,

1500, 1600, 1700, 1800, 1900, 2000, 2500,

3000, 3500, 4000, s = to 10 27

t

ocis a factor which accounts for vertical lapse of permittivity of

the earth's atmosphere. See op. cit. 1. oc= 0. 75. The integer to

the right of each table entry, if present, indicates a power of the

factor by 10 by which the number is multiplied, thus positioning

the decimal point. For example, 8. 8511589 -1 = 0. 88511589.
Table 15.

Table 16.

Table 17.

Table 18.

Table 19.

Table 20.

Table 21.

Table 22.

Table 23.

Table 24.

Table 25.

Table 26.

Table 27.

Table 28.

Table 29.

Table 30.

Table 31.

Table 32.

Table 33.

Table 34.

Table 35.

• 10-

Same, f = 4500, 5000, 6000, 7000, 8000, 9000,

10000, s = to 10

t , f = 0. 1 kilocycles, s = to 50

f = 0. 1 kilocycles, s = 51 to 100

f = 0. 2 kilocycles, s = to 50

f = 0. 2 kilocycles, s = 51 to 100

f = 0. 5 kilocycles, s = to 50

f = 0. 5 kilocycles, s = 51 to 100

f = 1 kilocycle, s = to 50

f = 2 kilocycles, s = to 50

f = 3 kilocycles, s = to 50

f = 4 kilocycles, s = to 50

f = 5 kilocycles, s = to 50

f = 6 kilocycles, s = to 50

f = 7 kilocycles, s = to 50

f = 8 kilocycles, s = to 50

f = 9 kilocycles, s = to 50

f = 10, 20, 30, 50 kilocycles, s = to 10

f = 60, 70, 80, 90 kilocycles, s = to 10

T

S

S = f=100, 200, 300, 400 kilocycles,

to 10

f= 500, 600, 700, 800 kilocycles, s=0 to 10

f= 900, 1000, 1100, 1200 kilocycles,

s

S= to 10

Page

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48
-11-

Pagj

Table 36. t , f = 1300, 1400, 1500, 1600 kilocycles,

s

S= to 10

Table 37. t , f = 1700, 1800, 1900, 2000 kilocycles,

s S= to 10

Table 38. t , f = 2500, 3000, 3500, 4000 kilocycles,

s S= to 10

Table 39. r , f= 4500, 5000, 6000, 7000 kilocycles,

s

S= to 10

Table 40. t , f = 8000, 9000, 10000 kilocycles, s = to 10

s The following Tables for sea water, er = 5, €_ = 80:

Table 41.

Table 42

Table 43

]6 t I, f = 0.1, 0. 2, 0. 5 kilocycles, s = to 50

2

i e s Same, s = 51 to 100

Same, f = 1, 2, 3, 4 kilocycles, s = to 50

Table 44. Same, f = 5, 6, 7, 8 kilocycles, s = to 50

Table 45. Same, f = 9 kilocycles, s = to 50

Table 46. Same, f= 10, 20, 30, 50, 60, 70, 80, 90,

100, 200, 300, 400, 500, 600, 700, 800,

s = to 10

Table 47. Same, f= 900, 1000, 1100, 1200, 1300, 1400,

1500, 1600, 1700, 1800, 1900, 2000, 2500,

3000, 3500, 4000, s = to 10

Table 48. Same, f = 4500, 5000, 6000, 7000, 8000,

9000, 10000, s = to 10

Table 49. t , f = 0. 1 kilocycles, s = to 50

s Table 50. t , f = 0. 1 kilocycles, s = 51 to 100

Table 51. t , f = 0. 2 kilocycles, s = to 50

s

49

50

51

52

53

54

55

56

57

58

59

60

61

62

63

64
-12-

Page

Table 52. T , s Table 53. T , S

Table 54. T , S Table 55. T 3 S

Table 56. T , S Table 57. T , S

Table 58. T , S

Table 59. T , S

Table 60. T , S

Table 61. T , S

Table 62. T , S

Table 63. T , S Table 64. T , S

Table 65. T , S Table 66. T , S

S =

Table 67. T , S

S =

Table 68. T , S

S =

Table 69. T , S

S =

Table 70. T , S

S =

f = 0. 2 kilocycles, s = 51 to 100

£ = 0. 5 kilocycles, s = to 50

f = 0. 5 kilocycles, s = 51 to 100

f = 1 kilocycle, s = to 50

f = 2 kilocycles, s = to 50

f = 3 kilocycles, s = to 50

f = 4 kilocycles, s = to 50

£ = 5 kilocycles, s = to 50

f = 6 kilocycles, s = to 50

f = 7 kilocycles, s = to 50

£ = 8 kilocycles, s = to 50

f = 9 kilocycles, s = to 50

f = 10, 20, 30, 50 kilocycles, s = to 10

f = 60, 70, 80, 90 kilocycles, s = to 10

f= 100, 200, 300, 400 kilocycles,

to 10

f = 500, 600, 700, 800 kilocycles,

to 10

f= 900, 1000, 1100, 1200 kilocycles,

to 10

£= 1300, 1400, 1500, 1600 kilocycles,

to 10

f= 1700, 1800, 1900, 2000 kilocycles,

to 10

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83
-13-

Page

Table 71. t , f= 2500, 3000, 3500, 4000 kilocycles,

s

S= to 10 84

Table 72.

Table 73.

t , f=4500, 5000, 6000, 7000 kilocycles,

s

S= to 10

t , f= 8000, 9000, 10000 kilocycles,

s

S= to 10

85

86
-14-

Table 1.

= 0.75

= 15

<r - 0. 002

K K

kilocycles

0.1 1.1478289 4 8.9000000 _ 9 2.2956579 2 2.2253550 - 5 0.2 6.4419718 3 1.7805000 - 8 1..2883943 2 4.4507095 - 5 0.5 3.0019409 3 4.4510000 - 8 6. 0038819 1 1.U26774 - 4

1 1.6847824 3 8.9010000 _ 8 3<,3695648 1 2.2250500 - 4

2 9.4555215 2 1.7803000 - 7 1..8911046 1 4.4510500 - 4

3 6.7443914 2 2.6704000 - 7 1.,3488789 1 6.6762000 - 4 4 5.3067323 2 3.5606000 - 7 1,,0613473 1 8.9010000 - 4

5 4.4062467 2 4.4507000 - 7 8 ,8125041 1.1126950 - 3 6 3.7851616 2 5.3409000 - 7 7 ,5703363 1.3352050 - 3 7 3.3288593 2 6.2309500 - 7 6 ,6577347 1.5577900 - 3

8 2.9783026 2 7.1211500 - 7 5.,9566242 1.7802700 - 3 9 2.6998629 2 8.0112500 - 7 5.,3997473 2.0027800 - 3

10 2.4729223 2 8.9014500 _ 7 4.,9458687 2.2253700 - 3 20 1.3878807 2 1.7802850 - 6 2 ,7758160 4.4505550 - 3 30 9.8994129 2.6704300 - 6 1,,9799701 6.6756500 - 3 50 6.4674858 4.^507100 - 6 1 ,2936561 1.1124945 - 2 60 5.5558573 5.3408500 - 6 1 ,1113679 1.3349070 - 2 70 4.8860969 6.2309950 - 6 9 ,7745461 - 1.5572530 - 2 80 4.3715501 7.1211300 - 6 8.,7458485 - 1.7795510 - 2 90 3.9628569 8.0112750 - 6 7.,9288662 — 2.0017755 - 2

100 3.6297538 8.9014250 _ 6 7.,2630716 - 2.2239160 - 2

2 00 2.0371304 1.7802835 - 5 4.,0822454 - 4.4392645 - 2

3 00 1.4530351 2.6704260 - 5 2.,9188396 - 6.6376540 - 2 400 1.1433007 3.5605675 - 5 2.,3043765 - 8.8110930 - 2 500 9.4929707 4.4507095 - 5 1.,9215119 - 1.0952082 - 600 8.1548832 5.3408520 - 5 1.,6591149 - 1.3053851 - 700 7*1718099 6.2309930 - 5 1,,4677519 - 1.5110352 - 800 6.4165583 7.1211360 - 5 1.,3219473 - 1.7116410 - 900 5.8166782 8.0112780 - 5 1.,2071795 - 1.9067715 -

1000 5.3277497 8.9014190 — 5 1.,1145388 — 2.0960812 - 1100 4.9209609 9.7915620 - 5 1. 0382412 - 2.2793115 -

12 00 4.5767738 1.0681704 - 4 9. 7436126 - 2 2.4562815 - 1300 4.2814515 1.1571845 - 4 9. 2013738 - 2 2.6268862 - 1400 4.0250422 1.2461987 - 4 8.,7356804 - 2 2.7910852 - 1500 3.8001530 1.3350944 - 4 8.,3316594 - 2 2.9488943 - 1600 3.6011718 1.4241500 - 4 7.,9780248 - 2 3.1003806 - 1700 3.4237577 1.5131000 - 4 7.,6660529 - 2 3.2456505 - 1800 3.2645005 1.60 22000 - 4 7.,3888999 - 2 3.3848445 - 1900 3.1206795 1.6917500 — 4 7.,1411148 - 2 3.5181301 -

2000 2.9900986 1.7807500 - 4 6, 9183096 - 2 3.6456936 - 2500 2.4827166 2.2250500 - 4 6. 0735873 - 2 4.2049939 - 3000 2.1327639 2.6706500 - 4 5. 5109000 - 2 4.6531117 - 3500 1.8756586 3.1152500 - 4 5. 1066504 - 2 5.0146366 - 4000 1.6781363 3.5612500 - 4 4. 7996612 - 2 5.3095040 - 4500 1.5212484 4.0055500 - 4 4. 5565587 - 2 5.5529730 - 5000 1.3933779 4.4510500 - 4 4. 3577281 - 2 5.7564850 - 6000 1.1969735 5.3411000 - 4 4, 0481528 - 2 6.0757010 - 7000 1.0526781 6.2316500 - 4 3.,8143398 - 2 6.3132880 - 8000 9.4182243 - 1 7.1215500 - 4 3, 6286334 - 2 6.4962450 - 9000 8.5377215 - 1 8.0120000 - 4 3.,4758072 - 2 6.6411170 - 10000 7.8200730 - 1 8.9010000 - 4 3. 3467098 - 2 6.7584930 -
-15-

Table 2.

oc = 0. 75

= 15

0. 05 o- = 0. 001 K K

kilocycles

0.1

0.2

0.5

1234

56

7

89

10

20

30

50

60

70

80

90

100

200

3 00

400

500

600

700

800

900

1000

1100

1200

1300

1400

1500

1600

1700

1800

1900

2000

2500

3000

3500

4000

4500

5000

6000

7000

8000

9000

10000

1.1478289 3 8,.9014500 - 7 1. 6232752 2 4, 4507095 - 5 6.4419718 2! 1. 7802850 - 6 9. 1103237 1 8. 9014200 - 5 3.0019409 2! 4, 4507100 - 6 4, 2453857 1 2« 2250500 - 4

1.6847824 2! 8, 9014250 - 6 2. 3826426 1 4i 4510500 _ 4 9.4555215 ] 1..7802835 - 5 1, 3372137 1 8. 9010000 - 4 6.7443914 ] 2..6704260 - 5 9. 5380258 1. 3352050 - 3 5.3067323 ] 3. 5605675 - 5 7« 5048765 1. 7802700 - 3 4.4062467 ] 4i 4507095 - 5 6. 2314042 2i 2253700 - 3 3.7851616 ] 5. 3408520 - 5 5, 3530650 2. 6703650 - 3 3.3288593 ] 6. 2309930 - 5 4. 7077632 3i 1154500 - 3 2.9783026 ] 7. 1211360 - 5 4, 2120089 3i 5605200 - 3 2.6998629 ] 8« 0112780 - 5 3< 8182434 4. 0055950 - 3 2.4729223 ] 8, 9014190 - 5 3. 4973089 4. 4505550 _ 3 1.3878808 ] 1..7807500 - 4 1. 9629140 8. 9005350 - 3 9.8994135 2. 6706500 - 4 li 4002359 li 3349070 - 2 6.4674873 4. 4510500 - 4 9. 1508972 - 2, 2239160 - 2 5.5558589 5, 3411000 - 4 7..8627224 - 2< 6679520 - 2 4.8860990 6,.2316500 - 4 6. 9166300 - 3. 1115605 - 2 4.3715523 7..1215500 - 4 6. 1900680 - 3< 5546940 - 2 3.9628594 8, 0120000 - 4 5. 6132274 - 3i 9972930 - 2 3.6297566 8, 9010000 — 4 5. 1433070 - 4. 4392645 - 2 2.0371368 1. 7802700 - 3 2« 9033326 - 8. 8110930 - 2 1.4530454 2<.6703650 - 3 24 0903538 - 1. 3053851 - 1.1433151 3. 5605200 - 3 1..6655492 - 1. 7116410 - 9.4931574 - J 4..4505550 - 3 1.,4042309 - 2. 0960808 - 8.1551141 - ] 5,.3406800 - 3 1. 2276182 - 2. 4562815 - 7.1720857 - ] 6,.2306150 - 3 1. 1006268 - 2. 7910852 - 6.4168815 - ] 7,,1206550 - 3 1. 0051681 - 3. 1003806 - 5.8170485 - 1 8. 0105750 - 3 9. 3094302 - 2 3. 3848445 -

5.3281684 - ]1 8..9005350 — 3 8.,7165237 - 2 3.,6456936 - 4.9214287 - ]1 9 .7903250 - 3 8.,2323018 - 2 3.,8844708 - 4.5772916 - 3L 1.,0680040 - 2 7 ,8293929 - 2 4.,1028806 - 4.2820200 - ;L 1 ,1569835 - 2 7.,4087428 - 2 4.,3026680 - 4.0256622 - ]L 1 .2459435 - 2 7 ,1967096 - 2 4 ,4855394 - 3.8008249 - ] L 1 ,3349070 - 2 6.,9432988 - 2 4 ,6531117 - 3.6018964 - ] I 1 ,4238500 - 2 6 ,7210380 - 2 4 ,8068846 - 3.4245354 - ] L 1.,5127950 - 2 6 ,5242399 - 2 4 ,9482307 - 3.2653317 - 3 L 1 ,6017195 - 2 6 .3485113 - 2 5 ,0783915 - 3.1215646 - ] L 1 ,6906455 — 2 6..1904070 - 2 5 ,1984830 -

2.9910383 - : L 1 ,7795510 - 2 6.,0471941 - 2 5 ,3095040 — 2.4839355 - 3t 2 ,2239160 - 2 5 ,4903935 - 2 5 .7564850 - 2.1342713 - 3L 2 ,6679520 - 2 5 ,1003528 - 2 6.,0757010 - 1.8774622 - 3I 3, 1115605 - 2 4.,8057671 - 2 6 ,3132880 - 1.6802431 - 3L 3 ,5546940 - 2 4 ,5717918 - 2 6..4962450 - 1.5236644 - 3L 3. 9972930 - 2 4 ,3792431 - 2 6 .6411170 - 1.3961082 -

' L 4 ,4392645 - 2 4 ,2165903 - 2 6 .7584930 - 1.2003470 - 3 L 5,.3211115 - 2 3 ,9537140 - 2 6 ,9367700 - 1.0567103 - L 6 ,1997270 - 2 3 ,7474613 - 2 7 ,0655470 - 9.4652661 - \ I 7 0745950 - 2 3 ,5791844 - 2 7 , 1628120 - 8.5915886 - . I 7 ,9452020 - 2 3 ,4379893 - 2 7 ,2388190 - 7.8808566 - \ I 8 .8110930 - 2 3 ,3169919 - 2 7 .2998240 -
-16-

Table 3.

oc =0.75

e, = 15

o- = 0. 02 0. 0005

K K

kilocycles

0.1

0.2

0.5

12

34

56

7

8

9

10

20

30

50

60

70

80

90

100

200

300

400

500

600

700

800

900

1000

1100

1200

1300

1400

1500

1600

1700

18 00

1900

2000

2500

3000

3500

4000

4500

5000

6000

7000

8000

9000

10000

7.2595074 2 2 •2253500 - 6 1,,1478289 2 8 ,9014190 - 5 4.0742606 2 4,.4507100 - 6 6,,4419718 1 1 ,7807500 - 4

1.8985942 2 1 .1126775 - 5 3.,0019416 1 4 ,4510500 - 4 1.0655500 2 2,.2253550 — 5 1 .6847837 1 8 ,9010000 - 4 5.9801968 1 4 .4507095 - 5 9 ,4555516 1 .7802700 - 3 4.2655276 1 6 .6760650 - 5 6 ,7444392 2 ,6703650 - 3 3.3562722 1 8 .9014190 - 5 5.,3067990 3 .5605200 - 3 2.7867550 1 1 .1126774 - 4 4,,4063333 4<,4505550 - 3 2.3939464 1 1 .3350944 - 4 3 ,7852688 5.,3406800 - 3 2.1053554 1 1.,5581000 - 4 3.,3289874 6,.2306150 - 3 1.8836440 1 1 .7807500 - 4 2 ,9784526 7.,1206550 - 3 1.7075433 1 2, 0026000 - 4 2.,7000348 8.,0105750 - 3 1.5640 134 1 2< 2250500 - 4 2. 4731166 8. 9005350 - 3 8.7777297 4<,4510500 - 4 1. 3883169 1. 7795510 - 2 6.2609417 6. 6762000 - 4 9. 9064102 - 1 2. 6679520 - 2 4.0904023 1 .1126950 - 3 6. 4801608 - 1 4<,4392645 - 2 3.5138388 1.,3352050 - 3 5.,5715172 - 1 5.,3211115 - 2 3.0902466 1 .5577900 - 3 4,,9048147 - 1 6i,1997270 - 2 2.7648199 1 ,7802700 - 3 4,,3933870 - 1 7<,0745950 - 2 2.5063408 2..0027800 - 3 3.,9878623 - 1 7,,9452020 - 2 2.2956690 2 .2253700 - 3 3,,6579698 - 1 8.,8110930 - 2 1.2884197 4 .4505550 - 3 2.,0984605 - 1 1..7116410 - 9.1902067 - 1 6,,6756500 - 3 1,,5467021 - 1 2,.4562815 - 7.2314369 - 1 8,,9005350 - 3 1,,2664325 - 1 3.,1003806 - 6.0046195 - 1 1 .1124945 - 2 1.,0982132 - 1 3.,6456936 - 5.1585127 - 1 1,.3349070 - 2 9,,8644170 - 2 4<,1028808 - 4.5369427 - 1 1..5572530 - 2 9.,0672861 - 2 4«,4855394 - 4.0594634 - 1 1 .7795510 - 2 8,,4679771 - 2 4<.8068846 - 3.6802534 - 1 2< 0017755 - 2 7.,9986224 - 2 5. 0783918 -

3.3712191 - 1 2..2239160 - 2 7.,6189867 - 2 5,.3095040 - 3.1141376 - 1 2<,4459810 - 2 7.,3038597 - 2 5.,5077950 - 2.8966518 - 1 2.,6679520 - 2 7. 0367106 - 2 5« 6792730 - 2.7100734 - 1 2. 8898080 - 2 6. 8062787 - 2 5.,8286950 - 2.5481082 - 1 3 ,1115605 - 2 6<,6046354 - 2 5. 9598340 - 2.4060806 - 1 3.,3331970 - 2 6.,4260417 - 2 6. 0757010 - 2.2804407 - 1 3 ,5546940 - 2 6,,2662354 - 2 6i 1787110 - 2.1684429 - 1 3.,7760675 - 2 6. 1219835 - 2 6i 2708150 - 2.0679307 - 1 3,,9972930 - 2 5. 9907881 - 2 6< 3536070 - 1.9771828 - 1 4 ,2183515 - 2 5.,8706819 - 2 6, 4283900 -

1.8948105 - 1 4 ,4392645 _ 2 5.,7600964 - 2 6.,4962450 - 1.5750084 - 1 5 ,5410890 - 2 5.,3125706 - 2 6,,7584930 - 1.3548053 - 1 6,,6376540 - 2 4,,9813671 - 2 6. 9367700 - 1.1933493 - 1 7 ,7279740 - 2 4. 7215056 - 2 7« 0655470 - 1.0695969 - 1 8,,8110930 - 2 4« 5094901 - 2 7. 1628120 - 9.7155979 - 2 9,,8860830 - 2 4.,3315953 - 2 7i 2388190 - 8.9188683 - 2 1<,0952082 - 1 4< 1791479 - 2 7« 2998240 - 7.7009294 - 2 1.,3053851 - 1 3, 9290906 - 2 7. 3916280 - 6.8127009 - 2 1.,5110352 - 1 3. 7302111 - 2 7i 4573910 - 6.1359360 - 2 1 ,7116410 - 1 3. 5665207 - 2 7« 5068010 - 5.6032310 - 2 1.,9067715 - 1 3. 4283522 - 2 7« 5452760 - 5.1732308 - 2 2. 0960812 - 1 3. 3094456 - 2 7. 5760820 -
-17-

Table 4.

oc = 0. 75

* 2

= 15

tr= 0. 01 0. 0002

K K

kilocycles

0.1

0.2

0.5

12

34

56

7

89

1020

30

50

60

70

80

90

100

2 00

300

400

500

600

700

800

900

1000

1100

1200

1300

1400

1500

1600

1700

1800

1900

2000

2500

3000

3500

4000

4500

5000

6000

7000

8000

9000

10000

5.1332468 2 4 .4507100 - 6 7. 2595074 1 2, 2250500 - 4 2.8809374 2 8.,9014250 - 6 4. 0742613 1 4. 4510500 - 4

1.3425088 2 2. 2253550 - 5 1. 8985965 1 1. 1126950 - 3 7.5345756 1 4,.4507095 - 5 1. 0655551 1 2. 2253700 — 3 4.2286377 1 8.,9014200 - 5 5. 9803145 4. 4505550 - 3 3.0161834 1 1<.3350944 - 4 4. 2657161 6, 6756500 - 3 2.3732428 1 1 .7807500 - 4 3. 3565360 8. 9005350 - 3 1.9705334 1 2..2250500 - 4 2. 7870974 1< 1124945 - 2 1.6927758 1 2 .6706500 - 4 2. 3943697 1. 3349070 - 2 1.4887113 1 3,.1152500 - 4 2. 1058622 li 5572530 - 2 1.3319376 1 3< 5612500 - 4 1. 8842360 1. 7795510 - 2 1.2074156 1 4,.0055500 - 4 1..7082224 2. 0017755 - 2 1.1059247 1 4. 4510500 - 4 1..5647813 2< 2239160 _ 2 6.2067961 8,.9010000 - 4 8. 7949309 - 4, 4392645 - 2 4.4271596 1..3352050 - 3 6..2884496 - 6. 6376540 - 2 2.8923617 2. 2253700 - 3 4.,1397722 - 1. 0952082 - 2.4846727 2 .6703650 - 3 3,,5744548 - 1.,3053851 - 2.1851501 3 .1154500 - 3 3.,1621756 - 1. 5110352 - 1.9550413 3<.5605200 - 3 2. 8480491 - li 7116410 - 1.7722716 4, 0055950 - 3 2. 6007894 - 1. 9067715 -

1.6233071 4,,4505550 - 3 2, 4012011 - 2. 0960812 - 9.1110397 - 8..9005350 - 3 1. 4905046 - 3.,6456936 - 6.4993190 - 1 .3349070 - 2 1.,1872874 - 4.,6531117 - 5.1146034 - 1 .7795510 - 2 1.,0340556 - 5.,3095040 - 4.2474701 - 2 .2239160 - 2 9.,3884409 - 2 5.,7564850 - 3.6495523 - 2 .6679520 - 2 8.,7214803 - 2 6.,0757010 - 3.2104153 - 3. 1115605 - 2 8.,2177461 - 2 6. 3132880 - 2.8731751 - 3..5546940 - 2 7,,8176534 - 2 6, 4962450 - 2.6054293 - 3, 9972930 - 2 7. 4883999 - 2 6. 6411170 - 2.3873115 - 4..4392645 - 2 7. 2102678 _ 2 6. 7584930 _ 2.2059362 - 4,,8805605 - 2 6. 9705812 - 2 6. 8554250 - 2.0525645 - 5< 3211115 - 2 6. 7607554 - 2 6. 9367700 - 1.9210527 - 5 .7608600 - 2 6.,5747276 - 2 7.,0059740 - 1.8069492 - 6 .1997270 - 2 6.,4080688 - 2 7.,0655470 - 1.7069477 - 6 ,6376540 - 2 6<,2574522 - 2 7.,1173540 - 1.6185377 - 7, 0745950 - 2 6.,1203193 - 2 7..1628120 - 1.5397774 - 7,.5104610 - 2 5.,9946621 - 2 7..2030140 - 1.4691411 - 7 ,9452020 - 2 5 ,8788793 - 2 7..2388190 - 1.4054120 - 8.,3787630 — 2 5 ,7716724 - 2 7 .2709060 -

1.3476077 - 8 .8110930 - 2 5 ,6719765 _ 2 7..2998240 — 1.1237070 - 1 .0952082 - 5 ,2596561 - 2 7 •4100270 - 9.7025628 - 2 1 .3053851 - 4 ,9465846 - 2 7 •4837330 - 8.5834653 - 2 1 .5110352 - 4 ,6971445 - 2 7 .5364780 - 7.7307952 - 2 1 •7116410 - 4.,4916089 - 2 7 .5760820 - 7.0596293 - 2 1 •9067715 - 4 ,3179898 - 2 7 .6069080 - 6.5178625 - 2 2<.0960808 - 4 , 1684954 - 2 7 •6315820 - 5.6980993 - 2 2<.4562815 - 3 ,9221188 - 2 7 •6686130 - 5.1086571 - 2 2 •7910852 - 3 ,7253410 - 2 7 .6950760 - 4.6655772 - 2 3 .1003806 - 3..5629523 - 2 7.,7149280 - 4.3210547 - 2 3 .3848445 - 3..4256400 - 2 7.,7303720 - 4.0458519 - 2 3 •6456936 - 3.,3073244 - 2 7.,7427300 -
-18- Table 5.

0. 75

£ 2 -

15

<r = 0. 005 cr = 0. 0001

K K

kilocycles

0.1

0.2

0.5

12

34

56

7

89

10

20

30

50

60

70

80

90

100

200

3 00

400

500

600

700

800

900

1000

1100

1200

1300

1400

1500

1600

1700

1800

1900

2000

2500

3000

3500

4000

4500

5000

6000

7000

8000

9000

10000

3.6297538 2 8.9014250 - 6 5.1332480 1 4,.4510500 - 4

2.0371304 2 1.7802835 - 5 2.8809396 1 8.,9010000 - 4 9.4929707 1 4.4507095 - 5 1.3425154 1 2,,2253700 - 3 5.3277497 8.9014190 — 5 7.5347240 4,,4505550 _ 3 2.9900986 1.7807500 - 4 4.2289700 8.,9005350 - 3 2.1327639 2.6706500 - 4 3.0167167 1,,3349070 - 2 1.6781363 3.5612500 - 4 2.3739887 1 ,7795510 - 2 1.3933779 4.4510500 - 4 1.9715009 2 ,2239160 - 2 1.1969735 5.3411000 - 4 1.6939722 2 ,6679520 - 2 1.0526781 6.2316500 - 4 1.4901427 3.,1115605 - 2 9.4182243 7.1215500 - 4 1.3336098 3.,5546940 - 2 8.5377215 8.0120000 - 4 1.2093332 3. 9972930 - 2 7.8200730 8.9010000 - 4 1.1080918 4. 4392645 _ 2 4.3888781 1.7802700 - 3 6.2550404 - 1 8,,8110930 - 2 3.1304916 2.6703650 - 3 4.5035310 - 1 1. 3053851 - 1 2.0452388 4.4505550 - 3 3.0253240 - 1 2. 0960808 - 1 1.7569661 5.3406800 - 3 2.6448234 - 1 2,,4562815 - 1 1.5451790 6.2306150 - 3 2.3712284 - 1 2. 7910S52 - 1 1.3824752 7.1206550 - 3 2.1655691 - 1 3, 1003806 - 1 1.2532452 8.0105750 - 3 2.0056560 - 1 3. 3848445 - 1 1.1479191 8.9005350 _ 3 1.8779182 - 1 3.,6456936 - 1 6.4439965 - 1 1.7795510 - 2 1.3028284 - 1 5,,3095040 - 1 4.5981481 - 1 2.6679520 - 2 1.0988377 - 1 6.,0757010 - 1 3.6199738 - 1 3.5546940 - 2 9.8496262 - 2 6,,4962450 - 1 3.0078241 - 1 4.4392645 - 2 9.0843683 - 2 6,,7584930 - 1 2.5860692 - 1 5.3211115 - 2 8.5180180 - 2 6<,9367700 - 1 2.2766134 - 1 6.1997270 - 2 8.0736608 - 2 7,,0655470 - 1 2.0392297 - 1 7.0745950 - 2 7.7111191 - 2 7. 1628120 - 1 1.8510016 - 1 7.9452020 — 2 7.4069232 - 2 7. 2388190 - 1 1.6978792 - 1 8.8110930 — 2 7.1462425 - 2 7. 2998240 _ 1 1.5707475 - 1 9.6717740 - 2 6.9191385 - 2 7. 3498580 - 1 1.4634252 - 1 1.0526816 - 1 6.7186501 - 2 7,,3916280 - 1 1.3715657 - 1 1.1375773 - 1 6.5397206 - 2 7.,4270210 - 1 1.2920193 - 1 1.2218255 - 1 6.3785711 - 2 7,,4573910 - 1 1.2224463 - 1 1.3053851 - 1 6.2323062 - 2 7.,4837330 - 1 1.1610696 - 1 1.3882188 - 1 6.0986648 - 2 7 ,5068010 - 1 1.1065149 - 1 1.470 2934 - 1 5.9758457 - 2 7,,5271650 - 1 1.0577018 - 1 1.5515751 - 1 5.8624001 - 2 7,,5452760 - 1 1.0137685 - 1 1.6320342 - 1 5.7571365 - 2 7.,5614870 — 1 9.7401914 - 2 1.7116410 _ 1 5.6590726 - 2 7, 5760820 - 1 8.2119922 - 2 2.0960808 - 1 5.2519751 - 2 7i 6315820 - 1 7.1791552 - 2 2.4562815 - 1 4.9415599 - 2 7. 6686130 - 1 6.4365046 - 2 2.7910852 - 1 4.6936357 - 2 7. 6950760 - 1 5.8782593 - 2 3.1003806 - 1 4.4890385 - 2 7. 7149280 - 1 5.4441881 - 2 3.3848445 - 1 4.3160365 - 2 7. 7303720 - 1 5.0974539 - 2 3.6456936 - 1 4. 1669676 - 2 7. 7427300 - 1 4.5786569 - 2 4.1028808 - 1 3.9211204 - 2 7.,7612670 - 1 4.2086615 - 2 4.4855394 - 1 3.7246438 - 2 7.,7745100 - 1 3.9304869 - 2 4.8068846 - 1 3.5624417 - 2 7. 7844420 - 1 3.7126316 - 2 5.0783918 - 1 3.4252522 - 2 7. 7921680 - 1 3.5364203 - 2 5.3095040 - 1 3.3070208 - 2 7.,7983490 - 1
-19-

Table 6.

oc = 0.75

€ = 80

<r = 5

kilocycles

0.1

0.2

0.5

12

34

56

7

10

20

30

50

60

70

80

90

100

200

3 00

400

500

600

700

800

900

K

1.1478289 4 6.4419718 3 3.0019409 3 1.6847824 3 9.4555215 2 6.7443914 2 5.3067323 2 4.4062467 2 3.7851616 2 3.3288593 2 2.9783026 2 2.6998629 2 2.4729223 2 1.3878807 2 9.8994129 1 6.4674858 1 5.5558573 1 4.8860969 1 4.3715501 1 3.9628569 1 3.6297538 1 2.0371304 1 1.4530350 1 1.1433008 1 9.4929712

8.1548838

7.1718107

6.4165593

5.8166789

4.5060000 - 8 9.0J.25000 - 8 2.2530500 - 7 4.5061500 - 7 9.0124000 - 7 1.3518550 - 6 1.8024800 - 6 2.2530950 - 6 2.7037200 - 6 3.1543350 - 6 3.6049500 - 6 4.0555750 - 6 4.5061850 - 6 9.0123850 - 6 1.3518570 - 5 2.2530955 - 5 2.7037145 - 5 3.1543335 - 5 3.6049530 - 5 4.0555720 - 5 4.5061905 - 5 9.0123810 - 5 1.3517000 - 4 1.8021000 - 4 2.2536500 - 4 2.7042000 - 4 3.1545500 - 4 3.6050500 - 4 4.0556500 - 4 1000

1100

1200

1300

1400

1500

1600

1700

1800

1900

2000

2500

3000

3500

4000

4500

5000

6000

7000

8000

9000

10000

5.3277506

4.9209623

4.5767747

4.2814527

4.0250435

3.8001550

3.6011735

3.4237597

3.2645026

3.1206817

2.9901009

2.4827197

2.1327676

1.8756632

1.6781415

1.5212544

1.3933846

1.1969820

1.0526882

9.4183421 - 1 8.5378566 - 1 7.8202258 - 1

4.5060500 - 4 4.9566000 - 4 5.4069000 - 4 5.8575500 - 4 6.3080500 - 4 6.7595500 - 4 7.2099500 - 4 7.6610500 - 4 8.1114000 - 4 8.5621500 - 4 9.0124500 - 4 1.1266000 - 3 1.3518450 - 3 1.5771950 - 3 1.8024450 - 3 2.0277800 - 3 2.2530300 - 3 2.7036550 - 3 3.1542350 - 3 3.6048200 - 3 4.0554600 - 3 4.5060050 - 3
-20-

Table 7. 123456789 10

1112

13

1415

16

17

181920

212223

24

25

2627

28

29

30

31

323334

353637

38

3940

4142

4344

4546

47

48

49

50 1 s, o '

1.8557571 3.2446076

4.3816712

5.3866138

6.3052630

7.1612827

7.9686916

8.7374715 9.4736218

1.0182207

1.0866942

1.1530746

1.2175965

1.2804521 1.3418011 1.4017783

1.4604989 1.518C618 1.5745534

1.6300492

1.6846159 1.7383127

1.7911926

1.8433032

1.8946873 1.9453839

1.9954283 2.0448528 2.0936871

2.1419584

2.1896918

2.2369104

2.2836359

2.3298881

2.3756657

2.4210460

2.4659854

2.5105189

2.5646606

2.5984247

2.6418230

2.6646678

2.7275703

2.769941C 2.8119902

2.8537272

2.895161J 2.9363010

2.9771544

3.0177295

3.0580334

8.0861652

2.5780961 3.8257153

4.8918203

5.8513010 6.7373164

7.5682909 6.3558096

9.1077585 9.8298130

1.0526230

1.1200307

1.1854661

1.2491419

1.3112333

1.3718872

1.4312281 1.4893630

1.5463843 1.6023727

1.6573993

1.7115269 1.7648116

1.8173035

1.8690478 1.9200654

1.9704533 2.0201855 2.0693128

2.1178637

^.1656642

2.2133386

2.2603091

2.3067965

2.3528200

2.3983978 2.4435464

2.4882817

2.5326184

2.5765704

2.6201506

2.66J3713

2.7062441

2.7487799

2.7909892 2.8328816

2.8744665

2.9157527

2.9567487

2.9974623

3.0379012 - 1 515253

54

55

5657

5859

60

61

6263

64

65

6667

63

69

70

7172

73

74

7576

7778

7980

81

828384

8586

87

88

8990

91

92

9394

959697

9899

100

3. 0980736 1 3< 0780730 1 3i 1378570 1 3. 1179842 1 3 1773894 1 3, 1576414 1 3. 2166776 1 3, 1970515 1 3. 2557272 1 3, 2362195 1 3. 2945439 1 3, 2751525 1 3. 3331334 1 3, 3138552 1 3. 3715009 1 3, 3523336 1 3. 4096509 1 3. 3905918 1

3. 4475890 1 3. 4286356 1 3. 4653194 1 3. 4664694 1 3. 5228470 1 3< 5040980 1 3. 5601755 1 3. 5415258 1 3. 5973090 1 3< 5787564 1 3. 6342521 1 3, 6157948 1

•3 6710087 1 3< 6526440 1 3. 7075815 1 3, 6893084 1 3. 7439754 1 3. 7257917 1 3. 7801933 1 3, 7620969 1 3. 8162378 1 3, 7982283 1 i. 8521136 1 3. 8341882 1 3. 8878231 1 3. 8699804 1 3 9233690 1 5< 9056081 1 3. 9587544 1 3< 9410734 1 3. 9939828 1 3, 9763801 1 4< 0290565 1 4, C115311 1

4, 0639783 1 4. 0465285 1 4< 0987503 1 4< 0813750 1 4. 1333754 1 4, 1160739 1 4 ,1678564 1 4 ,1506266 1 ^. 2021954 1 4, 1850361 1 4<.2363944 1 4, 2193049 1 4. 2704561 1 4 ,2534357 1 4, 3043823 1 4, 2874291 1 4 3381753 1 4< 3212889 1 4 3718375 1 4, 3550161 1 4< 4053702 1 4, 3886131 1 4, 4387761 1 4, 4220828 1 4< 4720568 1 4< 4554259 1 4 5052142 1 4, 4866444 1 4 ,5382498 1 4, 5217406 1 4 5711652 1 4<,5547161 1 4.,6039630 1 4 ,5875727 1 4 ,6366442 1 4 ,6203125 1 4 ,6692103 1 4 ,6529362 1 4 ,7016645 1 4 .6854459 1 4 .7340062 1 4 .7178433 1 4 ,7662376 1 4 .7501300 1 4 .7983610 1 4 .7823069 1 4 ,8303766 1 4 ,8143761 1
-21- Table 8. = 0.005 = 15

0. 1 kc f = 0. 2 kc f = 0. 5 kc 123456789 10

111213

14

151617

1819

20

21

2223

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

1.0659465 5 2 .3589807 4 7 .3025868 3 3.3968531 5 i .0699866 P 2 .3237677 u 5.0^05458 5 ^ .5877027 5 3<.4479219 u 6.4451244 5 2 .0301105 ^(,4085882 4 7.7092352 5 2<.4262765 5 5 ,2731972 4 8.8765604 5 2 .7959582 5 6.,0716158 4 9.9713707 5 3 ,1408002 5 6,,8204406 u 1.1008930 6 3<.4676091 5 1,,5301096 4 1.1999626 6 3 .7796579 5 8 ,2^77273 ix 1.2950937 6 4<.0793011 3 8<,8584076 U 1.3868471 6 4 .3683057 5 9 ,4859664 4 1.4756573 6 4 .6480394 5 i 4 ,0093433 5 1.5616690 6 4 ( ,9195884 5 1 ,^663109 5 1.6457622 6 5 .1838354 5 1.,1256928

1.7275682 6 5,,4415078 3 1.,1816468 5 1.8074804 6 5 ,6932146 5 1 ,2363056 5 1.8856624 6 5,,9394725 c 1 ,2897813 5 1.9622557 6 6 .1807257 5 1., J421699 c; 2.0373819 6 6..4173580 5 1.. 3935553 5 2.1111471 6 t><,6497035 5 1.,4440099 5 2.183645^ 6 6.,8760579 5 1<,4935976 5 2.2549567 6 7 ,1026817 5 ll P423753 5 2.3251619 6 7, 3238071 c. 1. 5903934 5 2.3943203 6 7,,5416427 5 1.,6376969 5 2.4624942 6 7 ,7563760 5 1.,6843269 5 2.5297365 6 7, 9681767 5 1.,7303200 5 2.5960969 6 6.,1771963 5 1.,7757097 K 2.6616195 6 6, 3835620 5 1.,8205265 5 2.7263452 6 8.,5874545 5 i t 8647960 5 2.7903116 6 6. 7889359 5 1.,9085504 5 2.8535527 6 6< 9881324 5 1. 9516065 5 2.9161^06 6 9, 1851462 5 1. 9945686 5 2.9779646 6 9, 3800694 5 2. 0369168 5 3.0392326 6 9, 5729871 5 2. U788096 5 3.0998689 6 9,,7639801 5 2. 1202841 5 3.1599181 6 9< 9531229 5 2 1613571 5 3.2194017 6 1 1

0140485 6 2. 2C20433 5 3.2783411 6 li 0326132 6 2i 2423571 3 3.3367552 6 1, 0510125 6 2< ^823118 5 3.3946624 6 1.,0692520 6 2i 3219197 5 3.4520798 6 1<,087337^ 6 2< 3611925 5 3.5090235 6 1<,1052735 6 2. 4J01415 5 3.5655088 6 1.,1230653 6 2<,4387768 5 3.6215502 6 1.,1407172 6 2. 4771085 5 3.6771613 6 1.,1582336 6 2.,5151459 5 3.7323550 6 1, 1756186 6 2, 5528979 5 3.7871436 6 1.,1928758 6 2. 5903727 5 3.8415387 6 1.,2100092 6 2. 6275783 5 3.8955516 6 1 ,

,2270221 6 2. 6645224 5 3.9491921 6 la 2439179 6 2« 7012121 5 4.0024707 6 1. 2606996 6 2, 7376541 5
-22-

Table 9. W s ' 0. 005

15

0. 1 kc 0. 2 kc 0. 5 kc

51

52

53

54

5556

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

7273

74

7576

77

7879

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100 4 ,0553972 6 1 ,2773704 6 2,,7738554 5 4 ,1079808 6 1 2939332 6 2.,8096218 5 4,,16U2296 6 1 3103906 6 2.,8455596 5

4.,2121529 6 1.,3267453 6 2 ,8810745 5 4,,2637571 6 1 3429996 6 2.,9163714 5 4.,3150520 6 1 ,3591565 6 2,,9514564 5 4 ,3660426 6 1,,3752176 6 2.9863338 5 4,,4167385 6 1.,3911858 6 3.,0210091 5 4,,4671442 6 1 ( ,4070625 6 3.,0554861 5 4,,5172674 6 1,4228503 6 3<,o897697 5 4,,5671138 6 1.,4385510 6 3.,1238641 5 4«,6166900 6 1.,4541665 6 3,,1577738 5 4< 6660013 6 1.,4696987 6 3.,1915025 5 4. 7150531 6 It,4651490 6 3.,2250531 5 4,,7638519 6 1.,5005195 6 3.,2584309 5 4,,8124009 6 1«,5158116 6 3.,2916381 5 4,,8607064 6 1,,5310270 6 3<,3246788 5 4 < ,9087736 6 1.,5461671 6 3<,3575562 5 4, 9566067 6 1,,5612334 6 3.,3902730 5 5 < ,0042098 6 1.,5762275 6 3..4228335 5 5,,0515872 6 1.,5911506 to 3.,4552392 5 5<,0987438 6 1,,6060040 6 3.,4874939 5 5.,1456838 6 1,.6207891 6 3.,5196001 5

5.,1924100 6 1,6355069 6 3.,5515603 5 5,,2389267 6 1 .6501588 6 3.,5833775 5

5, 2852388 6 1.6647460 6 3.,6150542 5 5,,3313483 6 1,,6792696 6 3.,6465926 5

5<,3772568 6 li,6937305 6 3.,6779952 5

5,,4229749 6 1.,7081303 6 3.,7092644 5 5<,4684985 6 1 ,7224693 6 3.,7404021 5 5.,5138334 6 1 ,7367489 6 3.,7714108 5 5.,5589628 6 1 7509701 6 3.,8022927 5

5,,6039508 6 1 .7651341 6 3.,6330501 5

5,,6487372 6 1 7792409 6 3 ,6636835 5 5 ,6933480 6 1 7932924 6 3 ,8941969 5

5,,7377841 6 1 .8072889 6 3 ,9245908 5 5 , 7820483 6 1 .8212313 6 3 ,9548670 5 5 ,8261450 6 1,8351209 6 3.,9850286 5 5 ,8700 749 6 1 8489579 6 4<,0150764 5 5 ,9138406 6 1 .6627433 6 4,,0^50117 5

5,,9574452 6 1,8764778 6 4<,0748368 5 6 ,0008908 6 1 ,8901624 6 4<,1045531 5 6 ,0441796 6 1.,9037975 6 4.,1341623 5 6 ,0873149 6 1.,9173842 6 4 ,1636664 5 6 ,1302966 6 1 ,9309227 6 4.,1930656 5 6 ,173128a 6 1«,9444139 6 4.,2223622 5

t><2158125 6 1,,9576585 6 4(,2515576 5 6 ,2583507 6 1 ,9712572 6 4.,2806531 5 6 ,3007444 6 1 ,9846102 6 4.,3096498 5 6,,3429959 6 1.,9979187 6 4,,.3385496 5
-23-

Table 10. w

0. 005

15

fz lkc 2 kc f = 3 kc f = 4 kc 123456789 10

1112

13

14

1516

17

18

1920

2122

23

24

25

26

27

28

29

30

3132

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 2 ,2955214 6 7 ,2311061 5 3 ,6792227 5 2 ,2780315 5 7 ,3179890 6 2 ,3050429 6 1 ,1727277 6 7 ,2605480 5

1.,0859318 7 3 .4204850 6 1,,7402188 6 1.,0773933 6 1 ,3885436 7 4 .3736492 6 2.,2251512 6 1 .3776195 6 1 ,6608906 7 5 .2314871 6 2 ,6615855 6 1 ,6478204 6 1 ,9123850 7 6 ,0236428 6 3..U646037 6 1 ,8973333 6 2 ,1482559 7 6 .7665694 6 3«,4425862 6 2.,1313463 6 2 ,3717923 7 7 ,4706839 6 3.,8008021 6 2 3531219 6 2 5852321 7 8 ,1429767 6 4 1428389 6 2 5648806 6 2 7901865 7 8 .7885423 6 4 .4712778 6 2 7682206 6 2 9878636 7 9 ,4111862 6 4 ,7860550 6 2 ,9643410 6 3 .1791998 7 1 .0013857 7 5 .0946707 6 3 1541703 6 3 3649380 7 1 .0598895 7 5 .3923155 6 3 .3384453 6 3 5456806 7 1 .1168198 7 5 .6819560 6 3 .5177646 6 3 ,7219265 7 1 .1723339 7 5 .9643890 6 3 ,6926226 6 3 ,8940921 7 1 .2265625 7 6 ,2402848 6 3 .8634326 6

4<,0625308 7 1 ,2796173 7 6.,5102072 6 4. 0305446 6

4, 2275459 7 1<,3315939 7 6.,7746440 6 4< 1942607 6 4< 3894004 7 1.,3825749 7 7<,0340158 6 4<,3548404 6

4i 5483230 7 1.,4326324 7 7«,2866887 6 4<,5125116 6

4, 7045156 7 1. 4818299 7 7.,5389873 6 4. 6674740 6 4. 8581563 7 li,5302237 7 7,,7851960 6 4(,8199049 6

5i 0094045 7 1.,5778639 7 8.,0275712 6 4.,9699619 6

5. 1584023 7 1«,6247951 7 8.,2663402 6 5. 1177864 6

5. 3052781 7 1..6710582 7 8.,5017080 6 5. 2635054 6

5. 4501476 7 1,,7166892 7 8<,7338614 6 5.,4072344 6

5.,5931165 7 1.,7617216 7 8.,9629691 6 5.,5490775 6

5« 7342809 7 1.,8061856 7 9.,1891854 6 5.,6891307 6

5. 8737281 7 1.,8501087 7 9,,4126493 6 5i 8274793 6

6. 0115397 7 1<,8935167 7 9.,6334917 6 5<,9642057 6

6.,1477884 7 1.,9364324 7 9.,8518306 6 6. 0993814 6 6. 2825444 7 1<,9788777 7 li 0067776 7 6i 2330760 6 6. 4158698 7 2. 0208726 7 1. 0281431 7 6. 3653516 6 6« 5478239 7 2. 0624356 7 li,0^.92887 7 6i 4962666 6

6, 6784612 7 2.,1035837 7 1.,0702232 7 6. 6258756 6 6, 8078334 7 2.,1443333 7 1.,0909551 7 6< 7542284 6 6, 9359870 7 2.,1846992 7 1.,1114917 7 6. 8813735 6

7, 0629681 7 2«,2246957 7 1. 1318405 7 7« 0073548 6

7, 1888172 7 2<,2643358 7 1<,1520078 7 7. 1322127 6

7, 3135745 7 2,,3036319 7 1.,1720002 7 7,,2559879 6

7,,4372766 7 2.,3425956 7 1. 1918235 7 7«,3787157 6

7, 5599582 7 2. 3812379 7 1<,2114632 7 7. 5004314 6

7, 6816523 7 2. 4195691 7 1. 2309846 7 7,,6211670 6

7. 8023898 7 2.,4575990 7 1<,2503327 7 7<,7409538 6

7,,9222002 7 2.,4953370 7 1.,2695324 7 7.,8598208 6

8. 0411115 7 2<,5327917 7 1.,2885879 7 7< 9777959 6

8.,1591502 7 2.,5699715 7 1. 3075036 7 8. 0949054 6

8.,2763407 7 2. 6068842 7 1<,3262834 7 8. 2111727 6

8. 3927075 7 2.,6435374 7 1. 3449312 7 8.,3266233 6 8. 5082727 7 2< 6799382 7 1. 3634504 7 8. 4412784 6 8. 6230579 7 2. 7160933 7 1. 3818446 7 8. 5551599 6
-24-

Table 11. W= 0.005 = 15 f = 5 kc f = 6 kc 7 kc f = 8 kc 12345678910

11

1213

14

1516

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 1 .5706392 5 1 .1591512 5 8 .9658954 4 7 . 1774695 4 3 .6939441 5 3 .6939441 5 2 .0570340 5 2 .2869948 2 5 .4814019 5 5 ,4814019 5 4 .2395040 t 3 .3936197 5 7 ,0086304 5 7 ,0086304 5 5 .4208630 5 4 .339^636 5 1 .1360404 6 8.,3835050 5 6 ,4840783 3 5 ,1903371 5

1.,3080591 6 9 .65^9278 5 7 ,4656891 3 5,,9762498 5 1 ,4693920 6 1.,0643494 b 8 .3867105 5 6i,7133419 5 1 .6222881 6 1 ,1971801 6 9 ,2593783 5 7 ,4118884 5

1.,7682785 6 1 ,3049148 6 1 .0092631 6 6 .0788847 5 1 .9084650 6 1.,4063663 6 1 .0892759 6 8 .7193646 5 2 ,0436741 6 1 ,5081449 6 1 .1664477 6 9 .3371046 5 2 ,174545b 6 1 ,6047226 6 1 .2411440 6 9 .9350278 5 2 ,3015885 6 1 ,6984746 6 1 .3136547 6 1 .0515457 6 2 ,4252147 6 1 ,7897056 6 1 .3842157 6 1 .1060277 6

2.,5457652 6 1 ,8786665 6 1 ,4530207 6 1 .1631044 6

2.,6635248 6 1.,9655679 6 1 .5202332 6 1 .2169061 6 2 ,7787347 6 2.,0505881 6 1 .5859905 6 1 .2695431 b

2,,8916036 6 2,,1338804 6 1..6504113 6 1.,3211103 6

3i,0023104 6 2.,2155774 6 1 .7135983 6 1,,3716696 6

3,,1110119 6 2,,2957943 6 1 ,7756407 6 1.,4213530 6

3.,2178459 6 2. 3746333 6 1 ,8366173 6 1.,4701630 6 3 ,3229347 6 2<,4521642 6 1 ,8965976 6 1.,5181757 6

3.,4263868 6 2,,5285276 6 1,,9556439 6 1,,5654406 6

3.,5282998 6 2,,6037349 6 2<,^138117 6 1<,6120024 6 3 ,6287613 6 2..6778713 6 2.,0711510 6 1.,6579011 6

3<,7278508 6 2.,7509950 6 2,,1277073 6 1.,7031727 6 3 ,8256400 6 2.,8231594 6 2,,1835215 6 1,,7478504 6 3 ,9221951 6 2,,8944129 6 2.,2386312 6 1,,7919643 6

4«,0175756 6 2.,9647995 6 2,,^930705 6 1.,8355416 6

4,,1118374 6 3.,0343607 6 2.,3468714 6 1.,6786076 6

4,,2050302 6 3,,1031331 6 2.,4000620 6 1.,9211853 6

4.2972016 6 3. 1711517 6 2,,4526697 6 1.,9632964 6 4.,3883949 6 3.,2384483 6 2,,5047193 6 2. 0049607 6 4<,4786501 6 3. 3050529 6 2,,5562334 6 2« 0461963 6

4, 5680049 6 3« 3709927 6 2,,6072333 6 2. 0870204 6

4,,6564942 6 3. 4362941 6 2, 6577393 6 2. 1274491 6 4, 7441503 6 3. 5009805 6 2.,7077698 6 2, 1674972 6

4< 8310036 6 3. 5650747 6 2. 7573424 6 2. 2071788 6 4, 9170836 6 3« 6285979 6 2. 8064733 6 2. 2465066 6

5, 0024163 6 3. 6915699 6 2. 8551777 6 2« 2854932 6

5. 0870272 6 3. 7540092 6 2. 9034703 6 2. 3241501 6

5, 1709402 6 3« 8159334 6 2. 9513644 6 2, 3624881

b 5.,2541778 6 3. 8773591 6 2.,9968731 6 2, 400 5174 6

5. 3367610 6 3. 9383020 6 3i U460083 6 2, 4382479 6

5. 4187101 6 3, 9987772 6 3« 0927816 6 2, 4756687 6 5. 5000446 6 4, 0587981 6 3. 1392037 6 2. 5128485 6 5. 5807815 6 4. 1183788 6 3i 1852852 6 2. 5497354 6

5, 6609391 6 4. 1775315 6 3« 2310358 6 2. 5863575

5« 7405327 6 4. 2362681 6 3« 2764648 6 2. 6227221 6 5, 8195781 6 4. 2946004 6 3. 3215806 6 2. 6588362 6

5.,8980899 6 4. 3525392 6 3« 3663922 6 2. 6947066 6
-25-

Table 12.

= 0. 005

= 15

f = 9 kc

12

34

56

7

89 10

11

1213

14

15

1617

18

19 20

212223

24

25

2b

27

28

29

30

313233

34

35

36

37

38

39

40

4142

43

44

45

46

47

48

49

50

5 .8985789 4

1 .8793769 5 2 .7887545 5 3 .5658464 5 4 .2652251 5 4 .9110568

5 .5167703 5

6 .0906084 5

6 .6389199 5 7 .1652412 5 7 .6728759 5

8 .1642258 5 8 .6412009 5 9 .1053481 5 9 .5579464 5

1.,u00O068 6

1,.0432618 6

1..0656378 6

1.,1272019 6

1 .1680133 6

1.,2081235 6

1. 2475785 6

1,,2864190 6

1.,3246817 6

1,,3623994 6

1.,3996019 6

1.,4363164 6

1.,4725674 6

1,,5083775 6

li,5437675 6

1,,5787563 6

1. 6133615 6

1. 6475996 6

1.,6814855 6

1. 7150331 6

1. 7482559 6

1. 7811658 6

1.,8137746 6

1. 6460928 6

1. 8781304 6

li 9098972 6

i« 9414018 6

1. 9726529 6 2. 0036584 6 2. 0344257 6 2. 0649622 6 2. 0952745 6 2. 1253691 6 2, 1552521 6 2. 1849293 6 2. 2144062 6
-26-

Table 13.

I*'

12

34

56

7

8

9 10

f = 10 kc

5.1107712 1 1.5806772 2 2.3422597 2 2.9936193 2 3.5800264 2 4.1216237 2 4.6296261 2 5.1110938 2 5.5708357 2 6.0123150 2 6.4381299 2

f = 20 kc

= 0.005

= 15

1.6665895 1 4.9896740 1 7.3846264 1 9.4346831 1 1.1280846 2 1.2986177 2 1.4585862 2 1.6102070 2 1.7549917 2 1.8940286 2 2.0281351 2

f = 30 kc

8.7954800

2.5439860 1 3.7604183 1 4.8026086 1 5.7414223 1 6.6087433 1 7.4223992 1 8.1936374 1 8.9301282 1 9.6374005 1 1.0319606 2

f = 50 kc

4.04705

1.090608 1 1.607936 1 2.0520664 1 2.4523977 1 2.8223532 1 3.1694761 1 3.4985376 1 3.8127966 1 4.1146040 1 4.4057260 1

1234

56

7

8

9 10

12

34

56

7

89

10

12

34

56

7

8910

f = 60 kc f = 70 kc f = 80 kc f = 90 kc

3.0 9944 2.48563 2.0607 1.7516

8.06673 6.25401 5.01872 4.1350

1.187676 L 9.194483 7.36705 6.05999

1.5151502 L 1.172504 1 9.390813 7.721416

1.8104331 L I.4OO77O3 1 1.121707 L 9.221340

2.0 833546 L 1.6117856 1 1.2905603 L 1.060842 1 2.3394550 L 1.8098136 1 1.4490374 L 1.1910398 1 2.5822434 L 1.9975590 1 1.5992945 L 1.3144920 1 2.8141189 L 2.1768725 1 1.7428093 L 1.4324095 1 3.0368130 L 2.3490908 1 1.8806491 L 1.5456676 1 3.2516269 L 2.5152185 1 2.0136170 L 1.6549251 1

f = 100 kc f = 200 kc f s 300 kc f = 400 kc

1.5179 6.09 1 3.462 - . L 2.25840 - 1 3.4787 1.138 6.19 L 3.9454 - 1 5.08930 1.624 8.45 L 5.42 - 1 6.48171 2.0564 1.05a 6.66 - 1 7.739357 2.4494 1.255 7.850 - 1 8.902625 2.81407 1.4389 8.973 - 1 9.994638 3.15693 1.6124 1.004

1.1030144 L 3.48234 1.7773 1.052

1.2019269 L 3.79336 1.9352 1.2025

1.2969339 :I 4.09222 2.08692 2.962

1.3885870 L 4.380621 2.23344 1.3867

f = 500 kc f = 600 kc f = 700 kc f = 800 kc

1.588856 - ] L 1.185722 9.2422268 - ;! 7.4442746 - 2 2.8016 - ; L 2.0957 1.63440 - ]L 1.31645 - 1 3.789 - ] L 2.8400 2.2162 - ] 1.7852 - 1 4.653 - ]L 3.496 2.7298 - ]L 2.1994 - 1 5.50 - ; L 4.094 3.199 - ] L 2.5777 - 1 6.250 - ]L 4.65 3.635 - ]L 2.930 - 1 6.973 - : L 5.20 4.046 - J L 3.262 - 1 7.666 - ! L 5.703 4.437 - JL 3.578 - 1 8.332 L 6.189 4.81 - ]L 3.881 - 1 8.974 - . L 6.660 5.188 - ]L 4.172 - 1 9.5961 - ; L 7.116 5.538 - ] L 4.45 - 1
-27-

Table 14. w

12

34

56

7

89 10

f = 900 kc

6.1509039 - 2 1.087512 - i 1.47468 - 1 1.8168 - 1 2.1295 - 1 2.4208 - 1 2.69-55 - 1 2.957 - 1 3.207 - 1 3.448 - 1 3.681 - 1

o- = 0.005

«2 = 15

1000 kc f = 1100 kc

5.1866577 - 2 9.167864 - 2 1.24304 - 1 1.53141 - i 1.7950 - I 2.0406 - 1 2.2722 - 1 2.4926 - 1 2.7036 - 1 2.907 - 1 3.103 - 14.4467470 - 2 7.857819 - 2 1.065295 - 1 1.31236 - 1 1.53820 - 1 1.7486 - 1 1.9471 - 1 2.1360 - 1 2.3169 - 1 2.4910 - 1 2.6593 - 1

f = 1200 kc

3.8653537 - 2 6.8265856 - 2 9.256541 - 2 1.14027 - 1 1.33646 - 1 1.51926 - 1 1.6917 - 1 1.8556 - 1 2.013U - 1 2.1643 - 1 2.3105 - i

12

34

56

7

89 10

f = 1300 kc

3.3993707 - 2 6.0038315 - 2 8.137660 - 2 1.00238 - 1 1.17481 - 1 1.33547 - 1 1.48705 - 1 1.63130 - 1 1.7694 - 1 1.9024 - 1 2.0309 - 1

f = 1400 kc

3.0195547 - 2 5.3317435 - 2 7.225982 - 2 8.900361 - 2 1.043102 - i 1.18573 - 1 1.32029 - 1 1.44635 - i 1.57100 - 1 1.68905 - 1 1.8031 - 1

f = 1500 kc

2.7054743 - 2 4.7761071 - 2 6.4723481 - 2 7.V71702 - 2 9.342366 - 2 1.^6160 - 1 1.16246 - 1 1.2971:} - 1 1.40697 - 1 1.51269 - 1 1.61484 - 1

f = 1600 kc

2.4424790 - 2 4.3109533 - 2 5.8415059 - 2 7.194^93 - 2 8.431163 - 2 9.58363;) - 2 1.067093 - 1 1.17057 - 1 1.26967 - 1 1.36507 - 1 1.45725 - 1

12

34

56

76

9 10

234

56

7

89 10

f = 1700 kc

2. 2198305 - 2 3.9172494 - 2 5.3076162 - 2 6.536560 - 2 7.660065 - 2 8.706973 - 2 9.694679 - 2 1.^63466 - 1 1.15350 - 1 i. 24015 - 1 1.32390 - 1

f = 2500 kc

1.2268524 - 2 2.1626683 - 2 2.9290291 - 2 3.6063920 - 2 4.2256097 - 2 4.6026214 - 2 5.347007 - 2 5.8650858 - 2 6.3613068 - 2 6.8389480 - 2 7.3005132 - 2

f = 1800 kc

2.0295049 - 2 3.5607732 - c 4.8513746 - 2 3.974467 - 2 7.001166 - 2 7.957886 - 2 8.860507 - 2 9.719508 - 2 1.054226 - 1 1.13342 - 1 1.20995 - 1

f = 3000 kc

9.3880531 - 3 1.6542022 - 2 2.2400170 - 2 2.7577915 - 2 3.2311169 - 2 3.6721789 - 2 4.0883004 - 2 4.4843146 - 2 4.8636203 - 2 5.2287243 - 2 5.5815391 - 2

1900 kc

1.6654012 - 2 3.^907132 - 2 4.4581050 - 2 5.489962 - 2 6.433255 - 2 7.312235 - 2 8.141550 - 2 8.930772 - 2 9.686692 - 2 1.041431 - 1 1.11174 — 1

f = 3500 kc

7.5529437 - 3 1. J304229 - 2 1.8013562 - 2 2.2175671 - 2 2.5980843 - 2 2.9526446 - 2 3.2871556 - 2 3.6055022 - 2 3.9104173 - 2 4.2039157 - 2 4.4875359 - 2

f = 2000 kc

1.7228110 - 2 3.0387274 - 2 4.1164847 - 2 5.0691075 - 2 5.9399647 - 2 6.7514665 - 2 7.517062 - 2 8.245700 - <i 6.943576 - 2 9.615318 - 2 1.026445 - 1

f = 4000 kc

6.3039121 - 3 1.1101291 - 2 1.5029419 - 2 1.8501239 - 2 2.1674987 - 2 2.4632389 - 2 2.7422557 - 2 3.0077894 - 2 3.2621199 - 2 3.5069276 - 2 3.7434956 - 2
-28-

Table 15.

I*

12

34

56

7

8

9 10

f = 4500 kc

5.4102315 - 3 9.5255313 - 3 1.2895097 - 2 1.5873223 - 2 1.8595656 - 2 2.1132503 - 2 2.3525896 - 2 2.5803631 - 2 2.7985263 - 2 3.0085208 - 2 3.2114476 - 2

o- = 0. 005

6 2

= 15

f = 5000 kc f = 6000 kc f = 7000 kc

4.7451737 - 3 3.6311782 - 3 3.2388149 - 3 8.3531401 - 3 6.7422925 - 3 5.6985465 - 3 1.1307262 - 2 9.1257981 - 3 7.7124506 - 3 1.3918194 - 2 1.1232391 - 2 9.4923752 - 3 1.6304953 - 2 1.3158109 - 2 1.1119471 - 2 1.8529009 - 2 1.4952549 - 2 1.2635645 - 2 2.0627295 - 2 1.6645512 - 2 1.4066076 - 2 2.2624184 - 2 1.8256664 - 2 1.5427382 - 2 2.4536818 - 2 1.9799837 - 2 1.6731251 - 2 2.6377838 - 2 2.1285228 - 2 1.7986298 - 2 2.8156895 - 2 2.2720623 - 2 1.9199102 - 2

1234

56

7

89 10

f = 8000 kc

2.8261171 - 3 4.9714935 - 3 6.7280043 - 3 8.2804359 - 3 9.6995693 - 3 1.1021957 - 2 1.2269562 - 2 1.3456877 - 2 1.4594093 - 2 1.5688729 - 2 1.6746521 - 2

f = 9000 kc

2.5225011 - 3 4.4366785 - 3 6.0038863 - 3 7,3890065 - 3 8.6551945 - 3 9.8350619 - 3 1.0948206 - 2 1.2007557 - 2 1.3022210 - 2 1.3998871 - 2 1.4942658 - 2

f = 10000 kc

2.2895208 - 3 4.0263288 - 3 5.4483112 - 3 6.7050779 - 3 7.8539313 - 3 8.9244642 - 3 9.9344561 - 3 1.0895639 - 2 1.1816267 - 2 1.2702422 - 2 1.3558752 - 2
-29-

Table 16.

<r = 0. 005 mhos/meter £ 2= 15

Re t Im t Ar

g t 123456789 10

11

1213

14

15

1617

181920

2122

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

i- 0. 1 kilocycles 4 .0595375 - L 6 .9984335 - L 8,.0906065 - 1 1 .0451649 1 ,2895642 2 .2325585 2 .5782346 1 .0469974 1 9132055 3 .3130734 3«.8258084 1 ,0471067 2 •4461822 4 .2363677 4 .8918931 1 .0471420

2,.9258779 5 .0673144 5 .8513620 1,.0471587

3..3688557 5 .8346342 6,.7373695 1..0471683 3 ,7843213 6 .5542851 7..5683380 1,.0471744

4,.1780640 7 .2363007 8..3558525 1..0471785

4,.5540254 7 .8875111 9,.1077975 1..0471815

4,.9150419 8 .5128314 9 .8298490 1..0471836

5..2632414 9 .1159486 1,.0526264 1 1..0471856

5..6002723 9 .6997185 1,.1200339 1 1.,0471870

5<,9274427 1..0266408 1,.1854692 1 1.,0471881

6. 2458160 1 .0817857

L 1,.2491447 1 1.,0471890

6.,5562680 1 .1355586

L 1,.3112360 1 1,,0471896

6< 8595330 1 .1880866 I 1 .3718899 1 1,,0471905

7,.1562335 1 .2394774

L 1 .4312306 1 X ,0471911

7, 4469043 1 .2898238

L 1 .4893654 1 1.,0471916

7,,7320075 1 .3392058 i 1..5463867 1 1<,0471920

8,,0119465 1 .3876933

L 1.,6023750 1 1.,0471924

8,,2870768 1..4353477

L 1.,6574014 1 1.,0471927

8, 5577122 1,.4822237

L 1.,7115290 1 1,,0471931

8.,8241334 1,.5283697

L li,7648137 1 1.,0471933

9. 0865907 1 .5738290

L 1,.8173054 1 1.,0471936

9,,3453102 1 .6186410 I 1,.8690498 1 1.,0471938

9.,6004963 1 .6628408

L 1.,9200872 1 1.,0471940

9.,8523340 1..7064608

L 1«,9704552 1 1.,0471942

1. 0100994 : L 1,.7495302

L 2.,0201873 1 1.,0471943

1. 0346628

L 1,.7920757

L 2,,0693145 1 1,,0471945

1. 0589382 jI 1..8341221 ]L 2. 1178655 1 1. 0471946

1. 0829382 ]L 1.,8756918

JL 2<,1658659 1 1,,0471948

1. 1066753 ;L 1.,9168058 ]I 2. 2133402 1 1.,0471949

1. 1301605 ]L li,9574835 3 2. 2603107 1 1, 0471950

1, 1534041 ] 1« 9977429 3 2. 3067982 1 1, 0471951

1. 1764157 ]L 2. 0376004 3 2. 3528216 1 1. 0471952

1. 1992044 iL 2. 0770719 3 2.,3983993 1 1.,0471953

li 2217786 ] L 2.,1161717 3L 2. 4435478 1 1,,0471954

1. 2441462 :L 2.,1549138 3. 2. 4882832 1 1,,0471955

li 2663145 !1 2,,1933105 1 2.,5326199 1 1<,0471955

1.,2882904 :L 2..2313740

L 2.,5765718 1 1,,0471956

It 3100804 :L 2<.2691156

L 2.,6201520 1 1,,0471956

1. 3316907 2,,3065459 :L 2.,6633727 1 1.,0471957

1. 3531270 I 2,,3436748L 2.,7062454 1 1.,0471958

1, 3743948 : L 2 ,3805119 : L 2.,7487812 1 1,,0471958

1.,3954994

L 2,.4170662

L 2.,7909905 1 1,,0471959

1. 4164455 2,.4533461

L 2,,8328828 1 1,,0471959

1. 4372379L 2 .4893598

L 2.,8744678 1 1,,0471960

i.,4578810L 2 .5251147

L 2,,9157540 1 1 ,0471960

1.,4783789

L 2,.5606183

L 2.,9567500 1 1.,0471961

1.,4987356

L 2..5958773L 2,,9974635 1 1,,0471961

i. 5189550L 2,.6308984 I 3, C379024 1 1.,0471961
-30-

Table 17.

cr = 0. 005 mhos/meter < 2 =15

Re t Im t Arg t

51

5253

5^

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

7172

7374

7576

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

f = 0. 1 ki locycles

ll,5390408 : 2i,6656882 3L 3i,0780741 ] L li,0471962

1 .5589964 3I 2.,7002524 L 3i,1179854 3I 1 ,0471962

1,5788249 :L 2.,7345966 L 3i,1576426 3l ii,0471963

1(,5985300 }1 2.,7687267 3i 3i,1970527 JL li,0471963

1.,6181139 ] 2,,8026472 3L 3<,2362207 1L 1<,0471963

1.,6375804 3L 2.,8363642 3I 3i,2751538 3 L li,0471963

It 6569316 3 2.,8698817 3L 3i,3138562 3L ll,0471964

ll,6761708 3 2i,9032049 3 3i,3523346 3L ll,0471964

1.,6952998 ]L 2i,9363375 3L 3i,3905927 3L 1.,0471964

1.,7143-217 3I 2.,9692845 3 3i,4286366 jL li,0471965

1.,7332385 ] 3, 0020495 3L 3i,4664704 3L li,0471965

1.,7520528 3L 3i,0346369 3 L 3i,5040991 3L li,0471965

1.,7707667 ] 3i,0670503 3L 3l,5415268 3L li,0471965

ll,7893819 3I 3i,0992929 3 L 3i,5787574 3L 1<,0471965

1.,8079011 ]I 3.,1313691 I 3i,6157958 3L 1.,0471966

1 ,8263256 iL 3i,1632815 3L 3i,6526450 31 li,0471966

1,,8446578 ]I 3,,1950338 3L 3.,6893093 3L 1«,0471966

ll,8628995 3t 3i,2266292 3 L 3i,7257927 3L ll,0471966

ll,8810520 3 3.,2580706 L 3i,7620980 3I ll,0471967

ll 8991177 3L 3.,2893613 L 3i,7982293 3I 1 ,0471967

ll,9170976 ;i 3.,3205035 L 3,,8341891 3L li0471967

ll,9349936 31 3.,3515004 L 3i,8699813 3I li,0471967

ll,9528075 ]L 3.,3823549 L 3i,9056091 3I 1 .0471967

ll,9705401 ]L 3,,4130688 L 3i,9410744 3L ll.0471967

1. 9881934 3L 3l,4436453 3L 3i,9763810 ] ll,0471967

2i 0057689 3 3i,4740869 3 4i,0115320 3 ll,0471967

2.,0232676 3I 3i,5043956 3t 4i,0465295 3 ll,0471968

2< 0406908 ]i 3i,5345735 3L 4i,0813759 3L li,0471968

2. 0580402 3I 3i,5646236 L 4i,1160747 3L li,0471968

2,,0753165 3I 3i,5945472 3I 4i,1506276 3L 1 ,0471968

2i,0925213 3I 3.,6243467 3 L 4.,1850369 3I li,0471968

2i,1096557 3 3 ,6540244 L 4 ,2193058 L 1 ,0471968

2 ,1267210 3 L 3 ,6835826 L 4.,2534366 3 L 1 ,0471969

2,,1437177 L 3 .7130217 L 4 .2874300 3L 1 ,0471969

2 ,1606476 L 3 ,7423451 L 4 ,3212898 I li0471969

2.,1775112 L 3 .7715538 L 4i,3550170 3 L 1<0471969

2.,1943096 3L 3 ,8006496 L 4i,3886139 3L 1..0471969

2i,2110444 3L 3.,8296352 L 4i,4220836 L li.0471969

2,,2277160 L 3<,8585112 3 4i,4554268 3L li0471969

2,,2443252 3L 3i,8872793 3 L 4i,4886453 3L li.0471969

2.,2608732 L 3i,9159414 L 4i,5217414 3 L 1<.0471969

2,,2773610 3L 3i,9444990 L 4i,5547168 3L li.0471969

2.,2937893 3 L 3.,9729537 L 4i,5875735 3I li.0471969

2.,3101592 L 4i,0013072 L 4i,6203133 3L 1<,0471970

2 ,3264710 L 4,,0 295601 jL 4i,6529369 3L li,0471970

2,,3427258 3 L 4,,0577144 L 4i,6854466 3I li,0471970

2.,3589245 L 4,,0857713 L 4i,7178440 3L li,0471970

2 .3750678 4«,1137324 3 L 4.,7501307 j li,0471970

2.,3911563 L 4 ,1415985 L 4i,7823077 3L li,0471970

2 ,4071909 L 4 ,1693713 3 L 4,,8143769 3I li,0471970
-31- Table 18.

or = 0. 00 5 mhos/meter 15

Re t Im t KI Arg t f = 0. 2 kilocycles 123456789 10

1112

13

14

15

1617

18

1920

2122

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

4243

44

45

46

47

48

49

50 4 ,0724019 - L 6,.9950260 - 1 8..0941240 -- I li,0435788 1 .2899677 2 .2324505 2 .5783429 1 ,0468409 1 •9134774 3 3130007 3 .8258816 1 .0470356 2 .4463948 4,.2363107 4 ,8919501 1 ,0470985 2 ,9260557 5<,0672667 5 .8514095 1 .0471283 3 .3690101 5 .8345928 6 . 7374105 1 .0471454 3 . 7844588 6 .5542483 7 .5683750 1 .0471562 4 .1781885 7 .2362674 8 .3558855 1 .0471636 4 ,5541396 7,,6874605 9 .1078285 li,0471690 4 ,9151477 8,,5128031 9 ,8298775 1<,0471731 5 ,2633402 9,,1159222 1.,0526291 1 li,0471762 5 < 6003652 9,,6996936 1., 1200364 1 li,0471767

5.,9275305 1.,0266384 1 1 ,1854715 1 li,0471607

6,,2458993 1.,0817835 1 1 ,2491470 1 li,0471824

6. 5563473 1.,1355565 1 1,,3112382 1 li,0471838

6. 8596086 1,,1880846 1 1.,3718919 1 li,0471850 7 ( ,1563061 1, 2394755 1 1,,4312326 1 li,0471860

7. 4469742 1.,2898219 1 1 ,4893673 1 li,0471869

7, 7320748 1, 3392040 1 1, 5463885 1 li,0471877

a. 0120115 1. 3876915 1 1.,6023767 1 li 0471884

8.,2871395 li 4353461 1 li 6574032 1 li,0471890

8< 5577730 1. 4822221 1 1<,7115307 1 li,0471895

6.,8241923 1« 5283681 1 li 7648152 1 li,0471900

9, 0866480 li 5738275 1 li,8173070 1 li 0471904

9,,3453658 1. 6186395 1 li,8690512 1 li 0471908

9. 6005505 1. 6628394 1 li,9200867 1 li 0471912

9,,8523868 li 7064594 1 li,9704566 1 li,0471915

1, 0101045 :L 1.,7495289 1 2.,0201888 1 li,0471918

1.,0346679

L 1. 7920743 1 2i,0693159 1 li,0471920

1. 0589431 ! L ll 8341208 1 2i,1178668 1 li,0471923

1. 0829430 1. 8756905 1 2i,1658671 1 li,0471926

1. 1066800 ] li 9168045 1 2.,2133414 1 li,0471927

li 1301651 ] . li 9574823 1 2i,2603120 1 li,0471929

1. 1534086 ] L li,9977416 1 2<,3067993 1 li,0471931

1.,1764201 ] L 2i 0375992 1 2.,3526228 1 li,0471933

1,,1992088 ; L 2. 0770708 1 2i,3984005 1 li,0471935

1<,2217829 ] L 2«,1161706 1 2.,4435490 1 li,0471936

1,,2441504L 2<,1549126 1 2i,4882843 1 li,0471936

1<,2663186L 2,,1933094 1 2.,5326210 1 1 ,0471939 1 ,2882944 L 2.,2313729 1 2i,5765728 1 li,0471940

1.,3100843 : L 2i 2691146 i 2i,6201531 1 li,0471942

1, 3316946 ; 2i 3065448 1 2.,6633737 1 li,0471942

1.,3531309L 2. 3436738 1 2.,7062465 1 li,0471943

1,,3743986 ] L 2i,3805109 1 2i,7487822 1 li,0471944

1. 395503] ] L 2i 4170652 1 2i,7909914 1 li,0471945

1.,4164492 ] L 2i 4533452 1 2i,8328839 1 li,0471946

1,,4372415

L 2i 4893588 1 2i,8744687 1 1.,0471947

1. 4578845 ; L 2. 5251137 1 2i,9157549 1 li,0471948

1.,4783824 ] L 2i 5606174 1 2,,9567509 1 li,0471949

1. 4987391 ] L 2. 5958764 1 2.,9974645 1 li,0471949

1.,5189584 j L 2. 6308975 1 3i,0379033 1 li,0471950
-32-

Table 19.

cr = 0. 005 mhos/meter 15

Re t Im kl Arg t 1- 0. 2 kilocycles

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

71

72

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

1.,5390442 ;L 2<,6656873 L 3«,0780750 3 L li,0471951

1 •5589997 L 2.,7002515 L 3,,1179863 3 L 1«,0471952

1..5788282 L 2,,7345957 L 3«,1576435 3L 1<,0471952

1.5985332 3 L 2<,7687258 L 3i,1970535 L 1.,0471953

1,6181171 L 2.,8026463 L 3<,2362214 L 1.,0471953

1.6375835 L 2.,8363634 L 3.,2751545 3 i,0471954

1.,6569348 L 2.,8698809 L 3.,3138571 3 L 1..0471954

1 6761739 L 2.,9032041 L 3.,3523355 3 L lc.0471955

1<6953029 : L 2,9363367 L 3<,3905936 3L 1,0471955

1 .7143247 L 2.9692836 L 3.,4286374 L 1,.0471956

ll7332415 L 3,,0020487 L 3.,4664713 L 1<0471956

1<,7520558 !I 3.0346361 L 3.,5040999 3 L 1«0471957

1..770 7696 L 3.,0670495 L 3.,5415277 3L 1«0471957

1.,7893848 3L 3.,0992921 L 3.,5787582 3L It,0471957

1,,8079040 :L 3,1313683 3 L 3.,6157965 3 L li,0471958

ll,8263285 3L 3,1632808 3<,6526458 3i 1.,0471958

1<8446606 JL 3,1950331 3 3 < 6893103 3 1,,0471959

ll,8629023 ] L 3i,2266285 . 3,,7257934 3L 1,,0471959

1.,8810548 3L 3.,2580698 3I 3i,7620986 3 1«,0471959

1<,8991204 3 3.,2893605 L 3. 7982299 3 1.,0471959

1. 9171003 3 3i,3205027 3L 3.,8341899 3L 1.,0471960

1.,9349963 3I 3,,3514997 3L 3«,8699821 3L 1.,0471960

1,,9528102 3L 3«,382-3542 3I 3.,9056098 3 1,,0471960

1,,9705427 3 3i,4130681 3t 3, 9410751 3 ll,0471961

ll,9881961 ] 3i,4436446 3L 3i,9763818 3 1,,0471961

2. 0057715 3 3i,4740862 3L 4,,0115326 3L ll,0471961

2. 0232702 3i 3i,5043949 3 L 4i,0465301 3 1,,0471961

2. 0406933 3I 3,,5345728 3L 4,,0813765 3L 1.,0471962

2« 0580428 ]L 3,,5646230 L 4,,1160755 3 L li,0471962

2, 0753190 ]L 3«,5945466 L 4< 1506282 3L li,0471962

2, 0925238 ]L 3 ( ,6243461 3 L 4,,1850378 3I li,0471962

2i,1096581 ]L 3,,6540237 3 L 4,,2193064 3L li,0471962

2,1267235 ]I 3 ( ,6835819 L 4(,2534373 3 L 1.,0471963

2,,1437201 J L 3«,7130210 L 4,,2874306 31 1.,0471963

2.,1606500 ]I 3i,7423444 L 4,,3212903 3L li,0471963

2.,1775135 3t 3«,7715531 3L 4i,3550176 3L 1<,0471963

2. 1943120 ]L 3i,8006490 L 4i,3886146 3 L li,0471964

2.,2110468 3I 3.,8296346 3 L 4,,4220843 3 L li,0471964

2,2277183 3L 3,,8585106 3 L 4i,4554274 3L li,0471964

2.,2443275 3L 3.,8872787 3 L 4.,4886459 J L li,0471964

2i,2608755 ]I 3.9159408 L 4,,5217419 3 L li,0471964

2.,2773633 3 L 3,,9444984 L 4,,5547176 3L li,0471964

2<2937916 L 3i.9729531 L 4<,5875741 3L li,0471964

2.3101614 L 4<.0013066 L 4,,6203140 L li,0471965

2.,3264732 L 4,0295595 L 4<,6529376 3L li,0471965

2 ,3427281 3 L 4.0577138 L 4.6854473 L li,0471965

2 3589267 L 4,.0857708 L 4<,7178447 L 1.,0471965

2,,3750700 L 4,.1137319 L 4<,7501314 3L 1<,0471965

2.,3911585 I 4,.1415979 L 4.,7823083 3 L li,0471965

2,,4071930 4 .1693707 L 4.,8143775 3L li,0471966
123456789 10

111213

14

1516

17

18

19

20

2122

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

-33-

Table 20.

cr = 0. 00 5 mhcs/meter < 2 »15

Re t s Im t s W Are t 6 s f = 0. 5 kilocycles 4 ,1059999 - L 6.9862308 - I 8 ,1034965 - L 1 ,0394496 1 .2910215 2.2321688 2«,5786264 1 ,0464325 1 ,9141876 3.3128105 3 ,8260720 1 ,0468500 2 ,4469502 4.2361621 4.8920992 1,,0469850 2 .9265200 5.0671425 5 ,8515340 1,,0470490 3 ,3694133 5.6344848 6(,7375190 1 ,0470855 3 ,7848177 6.5541521 7 ,5684710 1,,0471088 4 ,1785137 7.2361803 6 •3559730 1 ,0471247 4 ,5544379 7.8874005 9,,1079080 1 ,0471363 4 ,9154241 8.5127290 9 ,8299515 1 0471449 5 ,2635983 9.1158530 1,,0526360 L 1 ,0471517 5 ,6006077 9.6996286 1 (,1200429 L 1,0471570 5 ,9277597 1.0266323 L 1,,1854777 I 1 ,0471614

6.,2461168 1.0817777

L 1 ,2491529

L 1,0471650

6,,5565545 1.1355509

L 1 ,3112437

L 1 .0471680 6 ,8598069 1.1880793 L 1,,3718972 L 1 •0471706 7 ,1564960 1.2394704 L 1 ,4312377 L 1,0471728

7,,4471566 1.2898170

L 1.,4893721 I 1,.0471746 7 ,7322505 1.3391993 L 1,,5463932 t 1,.0471763 8 ,0121810 1.3876870 L 1<,6023813 L 1,.0471778 8 ,2873035 1.4353417 L 1<,6574076 jL 1.,0471791

8.,5579318 1.4822178 3I 1.,7115349 3L 1,,0471802 8 ,8243463 1.5283640 3L 1.,7648194 3 1.,0471813

9,,0867975 1.5738235 3L 1.,8173110 3 It,0471822 9 4,3455112 1.6186356 ]i 1<,8690551 3 It,0471830

9,,6006920 1.6628356 3I 1.,9200925 3 It,0471838

9,,8525247 1.7064557 31 1« 9704603 3L It,0471845

1.,0101180 ]I 1.7495253 3L 2,,0201924 ] 1,,0471851

1.,0346810 jI 1.7920708 ]L 2,,0693194 3L It,0471857

1.,0589559 3I 1.8341174 3 2, 1178702 3 It,0471863

li,0829556 ]I 1.8756871 3 2, 1658705 3L It,0471867

1. 1066923 3l 1.9168012 3 2,,2133447 3 1,,0471872

1.,1301771 3L 1.9574791 ] 2.,2603152 3 1.,0471876

1.,1534204 ]I 1.9977385 3 2.,3068025 3. It,0471880

1.,1764316 iL 2.0375961 j1 2*,3528258 3 1.,0471884

1.,1992201 3I 2.0770677 3I 2. 3984035 3L It,0471887

1,,2217940 jI 2.1161676 3L 2.,4435519 ]I If,0471891

1.,2441613 3I 2.1549097 3 2,,4882872 3I If,0471894

1.,2663293 ]L 2.1933065 jI 2.,5326238 3L If,0471897

1<,2883049 :I 2.2313701 j1 2.,5765757 3L It,0471899

1.,3100947

L 2.2691118 :L 2.,6201558

L I,,0471902

1.,3317048

L 2.3065421 31 2,,6633765 I It,0471904

1.,3531409 ]L 2.3436711 3L 2,,7062492

L 1<,0471906

It,3744085 j L 2.3805082 j L 2<,7487848 3L It,0471908

1.,3955128 ]I 2.4170626 ]t 2.,7909940 3L It,0471911

1.,4164588 ]L 2.4533426

J

L 2<,8328864 3L It,0471912

1.,4372510 ]L 2.4893563 3L 2<,8744713

L It,0471914

1.,4578938 ]L 2.5251112 3I 2,,9157574

L It,0471916

1,,4783916 I 2.5606149 3I 2,,9567534 3 L I,,0471918 1 ,4987482 ]L 2.5958740 ]L 2<,9974670 L It,0471919

1.,5189673 ;L 2.6308951 3L 3<,0379057

L It,0471921
-34-

Table 21.

cr = 0. 00 5 mhos/meter 15

Re t Im t Arg t

f = 0. 5 kilocycles

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

7172

7374

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

1.,5390530 1 2,,6656850 1 3i,0780774 1 1<,0471922

1.,5590084 1 2.,7002491 3«,1179885 1 1.,0471924

1.,5788368 1 2.,7345934 1 3,,1576458 1 1.,0471925

1.,5985417 1 2,,7687235 1 3.,1970557 1 1.,0471926

1.•6131255 1 2..8026441 1 3.,2362238 1 1.,0471927

1«,6375918 1 2.,8363611 1 3. 2751567 1 li,0471928

1.,6569430 1 2i,8698787 1 3.,3138594 1 1.,0471929

1.,6761820 1 2.,9032019 1 34,3523376 1 1.,0471930

1. 6953109 1 2.,9363346 1 3i J905958 1 1.,0471932

1.,7143326 1 2<,9692815 1 3.,4286396 1 If,0471933

1.,7332494 1 3<,0020466 1 3<,4664733 1 If,0471933

If,7520635 1 3. 0346340 1 3. 5041019 1 If,0471935

1.,7707773 1 3, 0670475 1 3< 5415298 1 If,0471935

1.,7893924 1 3, 0992901 1 3.,5787601 1 if,0471936

1< 8079115 1 3< 1313663 1 3. 6157986 1 If,0471937

i 1,6263359 1 3<,1632788 1 3.,6526478 i If,0471936

i.,8446680 1 3.,1950311 1 3, 6893122 1 If,0471938

1.,6629096 1 3. 2266265 1 3<,7257954 1 If,0471939

1.,8810620 1 3i,2580679 1 3. 7621005 1 It,0471940

1. 8991276 1 3,,2393586 1 3.,7982320 1 If,0471940

If,917107-+ 1 3,,3205008 1 3<,6341919 1 It,0471941

1«,9350033 1 3« 3514978 1 3.,8699840 1 If,0471942

1.,9528171 1 3,,3823523 1 3<,9056116 1 It,0471942

1<,9705496 1 3.,4130662 1 3.,9410769 1 i i ,0471943

1..9882029 1 3<,4436428 1 3,,9763837 1 If,0471944

2.,0057783 1 3.,4740844 1 4.,0115345 1 If,0471944

2.,0232769 1 3<,5043931 1 4,,0465319 1 If,0471945

2. 0407000 1 3.,5345711 1 4f 0813785 1 If,0471945

2« 0580494 1 3<,5646212 1 4i,1160772 1 If,0471946

2<,0753256 1 3.,5945448 1 4< 1506299 1 If,0471946

2<,0925303 1 3.,6243443 1 4<,1850395 1 If,0471947

2.,1096646 1 3.,6540220 1 4<,2193083 1 If,0471947

2,,1267299 1 3,,6835802 1 4.,2534390 1 It,0471946

2.,1437265 1 3.,7130193 1 4<,2874322 1 If,0471948

2 (,1606563 1 3.,7423427 1 4,,3212921 1 If,0471948

2.,1775198 1 3.,7715515 1 4.,3550194 1 It,0471949

2«,1943182 1 3i,8006473 1 4.,3886162 1 If,0471949

2.,2110529 1 3,,8296329 1 4,,4220858 1 1.,0471950

2.2277244 1 3<,8585089 1 4.,4554290 1 If,0471950

2.,2443335 1 3.,8872771 1 4<,4886475 1 1,,0471951

2 .2606816 1 3,,9159392 1 4,,5217437 1 I.,0471951

2 .2773693 1 3.,9444968 1 4.,5547191 1 1.,0471951

2 .2937975 1 3.,9729515 1 4<,5875757 1 1.,0471952

2.,3101673 1 4 (,0013051 1 4.,6203156 1 If,0471952

2 .3264790 1 4 .0295580 1 4,,6529392 1 1 ,0471952

2 .3427339 1 4«,0577123 1 4 ,6854489 1 1 ,0471953

2 i3589325 1 4,,0857692 1 4..7178462 1 1.,0471953

2 ,3750757 1 4.,1137303 1 4<,7501329 1 If,0471953

2 ,3911641 1 4,,1415963 1 4,,7823097 1 1.,0471954

2 ,4071987 1 4 ,1693692 1 4,,8143791 1 If,0471954
-35-

Table 22.

<r = 0. 00 5 mhos/meter = 15

Re t Im t Arg t. f = 1 kilocycle 123

L.56789 10

1112

1314

151617

1819

20

212223

24

25

26

27

28

29

30

31

32

33

34

3536

37

38

39

40

4142

43

44

45

46

47

48

49

50 4 •1551874 - L 6,.9736279 - . L 8,,1177010 - 1 1.,0334391 1 •2925645 2 .2317575 2,,5790434 1..0458347 1 •9152273 3 .3125327 3<.8263519 1,,0465784 2 .4477633 4 .2359446 4,.8923177 1,.0468189 2 •9271998 5,.0669605 5,,8517165 1,.0469329 3 •3700037 5 .8343268 6 .7376770 1 .0469979 3 • 7853433 6 .5540115 7,.5686120 1 .0470393 4 .1789897 7 .2360529 8 .3561005 1 .0470677 4 .5548746 7 .8872837 9,.1080255 1 .0470883

4«.9158287 8 .5126207 9,,8300600 1 .0471038 5 .2639762 9 .1157518 1,,0526461 1 1,.0471158

5..6009629 9,.6995335 1,,1200524 1 1,.0471253

5..9280952 1,.0266233 I 1.,1854866 1 1,.0471331

6. 2464352 1.,0817692 :L 1,,2491614 1 1.,0471395

6..5568579 1.,1355423 ;L 1.,3112519 1 1.,0471449

6. 8600968 1.,1880715 jL 1.,3719050 1 1,,0471494

7,,1567739 1<,2394629 11 1.,4312451 1 1,,0471533

7, 4474237 1,,2898099 ;1 1<,4893794 1 1.,0471567

7« 7325077 1.,3391924 3 1. 5464001 1 1,,0471597

8. 0124292 1.,3876803 I1 1,,6023879 1 1,,0471623

8. 2875435 1.,4353352 3t 1.,6574139 1 1.,0471646

3,,5581642 1,,4822116 3L 1.,7115411 1 1.,0471666

8.,8245717 1«,5283579 3 1. 7648254 1 1,,0471685

9, 0870163 1.,5738176 3 1.,8173169 1 1.,0471701

9, 3457240 1.,6186299 3 1.,8690609 1 1.,0471716

9. 6008991 1,,6628301 3L 1« 9200981 1 1,,0471730 9 .8527266 1<,7064503 jL 1,,9704657 1 1,,0471742

1.,0101377 ]I 1.,7495200 I 2. 0201976 1 1.,0471754

1.,0347002 ;L 1,,7920657 1 2.,0693246 1 1,,0471764

1,,0589747 ]L 1.,8341123 31 2,,1178752 1 1,,0471774

1.,0829740 :L 1.,8756822 j 2.,1658755 1 1,,0471782 1 <,106710^ :1 1,,9167964 3L 2,,2133495 1 1,,0471791

1> 1301947 ;I 1<,9574744 3L 2. 2603199 1 1,,0471798

1. 1534376 3 1. 9977339 3 2. 3068071 1 1.,0471805

1. 1764485 ] 2. 0375916 3 2. 3528304 1 1,,0471812

1.,1992367 3 2.,0770633 3 2, 3984080 1 1< 0471818

1. 2218103 3L 2. 1161633 3 2.,4435563 1 1,,0471824 T ,2441773 3L 2.,1549054 3 2. 4882915 1 1,,0471829

1. 2663450 3 2.,1933023J 2.,5326280 1 1,,0471835

li,2883204 ] 2, 2313660 3 2. 5765799 1 1,,0471839

1. 3101099 ] 2.,2691077 3 2. 6201599 1 1.,0471844

li 3317197 3L 2,,3065381 3L 2. 6633805 1 1.,0471848

1.,3531556 :L 2.,3436671 3L 2.,7062531 1 1,,0471852

1.,3744230 !1 2.,3805044 3L 2,,7487888 1 1.,0471856

1.,3955271 ]L 2,,4170588 I 2.,7909979 1 1.,0471859

1.,4164728 :L 2.,4533388 3L 2.,8328902 i 1,,0471863

1,,4372648 : 2<,4893526 1 2,,8744750 1 1,,0471866

1<,4579075L 2,,5251076 3I 2<,9157611 1 1.,0471869 1 ,4784051 :L 2,,5606113 L 2.,9567570 1 1,,0471872

1,,4987614

L 2,.5958704 3 L 2.,9974704 1 1,,0471875

1,,5189804

L 2,.6308916 1 3,,0379092 1 1<,0471878
-36-

Table 23.

(r = 0. 005 mhos/meter 15

Re t Im t Arg t

f = 2 kilocycles

12

34

56

7

8

9 10

1112

1314

15

16

17

1819

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

4,,2428214 - . L 6 ,9519765 - L 8 1444160 - 1 1 C228346

1.2953139 2,,2310274 2 5797910 1 0447706

1.,9170801 3 3120387 3 .8268520 1 0460947

2.4492123 4 2355577 4 ,8927079 1 .0465229

2.,9284112 5,0666368 5 .8520425 1 .0467260

3<,3710558 5,.8340456 6.7379600 1 .0468416

3.,7862799 6,5537610 7,5688635 1 .0469156

4<,1798379 7,,2358260 8 3563285 1 .0469663

4«,5556528 7,,8870755 9,1082345 1 0470C29

4<,9165498 8,,5124278 9,8302540 1 .0470304

5,,2646495 9,,1155717 1.0526642 1 1 0470518

5, 6015957 9,,6993642 1..1200694 1 1..0470668

5.,9286931 1.,0266073 3 L 1,1855027 1 1..0470827

6.,2470026 1.,0817540 L 1..2491766 1 1 .0470941

6*,5573984 1«1355283 1 1,.3112663 1 1,.0471036

6<,8606134 1,.1880577 L 1.3719189 1 1<.0471118

7,,1572691 1,,2394497 L 1«.4312584 1 1..0471187

7, 4478995 1.,2897972 \ L 1..4893921 1 1..0471248

7. 7329661 1«,3391801 31 1.,5464123 1 i<,0471300

8.,0128716 1.,3876685 L 1.,6023998 1 1.,0471347

3, 2879711 li,4353238 31 1.,6574255 1 1.,0471388

8. 5585783 1.,4822005 3L 1.,7115522 1 1,,0471425

8.,8249733 1.,5283472 3 L 1,,7648362 1 1.,0471457

9« 0874063 1.,5738072 3 L 1.,8173273 1 1,,0471487

9,,3461032 1.,6186198 3 L 1.,8690711 1 1.,0471514

9. 6012683 1<,6628202 31 1.,9201080 1 1,,0471538

9.,8530863 1.,7064407 3 I 1<,9704753 1 1<,0471560

1. 0101728 3L 1.,7495106 j 2«,0202070 1 1.,0471580

1. 0347345 ] 1.,7920565 3 2«,0693337 1 1,,0471598

li 0590082 3 1.,8341034 3L 2.,1178843 1 1.,0471616

1. 0830067 3L li,8756734 3 2.,1658842 1 1«,0471631

1,,1067423 3I 1.,9167879 31 2.,2133582 1 1.,0471646

1.,1302261 3L 1<,9574660 L 2.,2603283 1 1.,0471660

1<,1534683 3I 1.,9977257 L 2,,3068154 1 1..0471672

1.,1764787 jL 2.,0375835 3L 2.,3528384 1 1..0471684

1.,1992662 ] L 2,,0770554 L 2.,3984159 1 1..0471695

1,,2218393 L 2.,1161555 L 2.,4435641 1 1,.0471705

1.,2442058 3L 2..1548978 L 2,,4882992 1 1<,0471715

1.,2663730 3 2.,1932948 3 2. 5326355 1 li 0471724

1, 2883479 ]L 2,,2313586 3 L 2.,5765872 1 1.,0471733

1.,3101369 ;I 2<,2691005 3 L 2« 6201672 1 1. 0471741

1.,3317463 ]I 2. 3065310 3 L 2«,6633876 1 li,0471748

1,,3531818 31 2,,3436601 3L 2< 7062601 1 1< 0471755

1. 3744488 3L 2.,3804975 3 L 2<,7487957 1 1.,0471762

1,,3955525 3I 2.,4170520 3L 2. 7910047 1 1« 0471768

1.,4164978 3L 2.,4533321 3L 2. 8328968 1 1.,0471775

1,,4372895 3L 2.,4893460 3 L 2.,8744816 1 1.,0471760

1. 4579318 3L 2.,5251011 3L 2, 9157676 1 1« 0471786

1,,4784290 3L 2,,5606049 3 2.,9567634 1 1.,0471791

1,,4987851 3 L 2.,5958641 3 2,,9974768 1 1.,0471796

1.,5190038 31 2<,6308854 3 3«,0379155 1 li,0471801
-37-

Table 24.

o- = 0. 005 mhos/meter 15

Re t Im t Arg t f = 3 kilocycles 12356789 10

1112

13

14

151617

18

19

20

212223

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 4 .3230922 - L 6 ,9330445 - L 8 ,1704485 - - 1 1 ,0132412 1 ,2978335 2 ,2303618 2 5804817 1 ,0437967 1 ,9187779 3 ,3115873 3 ,8273123 1 ,0456517 2 ,4505400 4 ,2352039 4 .8930663 1 ,0462518 2 ,9295210 5 .0663409 5 .8523415 1 ,0465365 3 ,3720198 5 ,8337883 6 .7382195 1 .0466988 3 ,7871379 6 .5535319 7 .5690945 1 .0468023 4 ,1806152 7 .2356185 8 ,3565375 1 .0468733 4 ,5563659 7 .8868851 9«.1084260 1 .0469247 4 ,9172105 8 .5122513 9 .8304315 1 .0469633 5 2652665 9 .1154068 1,,0526807 1 1 ,0469932

5..6021756 9 .6992093 i<1200850 i 1 ,0470171 5 ,9292409 1.,0265927 L 1 ,1855175 1 li,0470365

6,,2475226 1 ,0817401

L 1 ,2491906 1 1 0470525

6,,5578936 1.,1355151

L 1.,3112796 1 1.,0470659

6.,8610868 1 ,1880450

L 1 ,3719315 1 1 ,0470773

7,,1577228 1 ,2394375 1 ,4312705 1 1 0470870

7,,4483356 1 ,2897855

L 1 ,4894038 1 1 .0470955

7,,7333860 1 ,3391689

L 1 ,5464236 1 1..0471029

B.,0132768 1 ,3876577

L 1,,6024107 1 1 0471094 8 ,2883629 1 ,4353133 L 1,,6574360 1 1,.0471151

8.,5589577 1 ,4821904

L 1,,7115625 1 1 0471203

8.,8253412 1.,5283374 I 1 ,7648461 1 1.0471249

9, 0877637 1.,5737976 3I 1.,8173369 1.,0471290

9.,3464507 1.,6186105 :1 1<,8690804 1 1.,0471328

9.,6016065 1.,6628111 !I 1.,9201170 1 1,,0471362

9, 8534158 1 < ,70 64318 :1 1.,9704841 1 1.,0471393

1, 0102049 ; 1.,7495020 3L 2. 0202156 1 1. 0471421

1.,0347658 ] 1. 7920481 31 2.,0693421 1 1. 0471447

1. 0590388 31 1.,8340952 3L 2.,1178925 1 li,0471471

1. 0830367 : L 1.,8756654 3L 2.,1658923 1 1.,0471493

1, 1067716 ; 1<,9167800 jL 2.,2133660 1 1,,0471514

1.,1302548 ] 1, 9574583 3i 2.,2603360 1 1. 0471533

1,,1534965 j 1.,9977181 3 2. 3068229 1 1,,0471550

1. 1765063 3L 2. 0375761 3L 2«,3528459 1 1. 0471567

1.,1992933 3L 2. 0770481 3I 2,,3984231 1 1« 0471582

1,,2218659 3L 2.,1161484 3L 2«,4435713 1 1. 0471597

1,,2442319

L 2.,1548908 3 2<,4883062 1 1. 0471610 1 ,2663986 jL 2,,1932880 ; L 2.,5326425 1 1.,0471623

1.,2883731 ; 2(,2313519 1 2.,5765940 1 1.,0471635

1.,3101617L 2<,2690939 : L 2,,6201738 1 1.,0471646

1.,3317707 ;I 2.,3065244

L 2.,6633941 1 1 ,0471657

1.,3532058L 2,,3436537 \ L 2.,7062666 1 1.,0471666

1.,3744724

L 2.,3804911 3L 2.,7488020 1 1(,0471676

1<,3955757 :1 2.,4170458 :L 2.,7910109 1 1. 0471685

1.,4165207 ;L 2. 4533260 3L 2.,8329030 1 1« 0471694

1. 4373121 3 2, 4893399 3 2i 8744877 1 1. 0471702

1. 4579541 3 2. 5250951 3 2« 9157736 1 1. 0471709

1« 4784510 ] 2. 5605990 3 2« 9567693 1 1. 0471717

1, 4988068 3 2. 5958583 3 2. 9974827 1 li 047172<+

1. 5190251 3 2. 6308796 3 3. 0379212 1 la 0471731
-38-

Table 25.

<r = 0. 00 5 mhos/meter 15

Re Im t IvI Arg t f = 4 kilocycles 123456789 10

1112

13

1415

1617

18

19

20

2122

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

44 3989147 - ] 6. 9159502 - ] L 8.,1963905 - 3 1.,0042879

1. 3002147 2,,2297361 2.,5811396 li,0428774

1.,9203822 3<,3111618 3.8277487 1.,0452333

2.,4517947 4<,2348703 4«,8934061 1.,0459957

2.,9305700 5. 0660614 5.,8526250 1.,0463574

3. 3729307 5< 8335456 6.,7384655 1< 0465638

3i 7879488 6,,5533157 7<,5693135 1.,0466953

4.,1813496 7.,2354226 8.,3567355 1.,0467855

4< 5570397 7,,8867053 9,,1086075 1.,0468507

4. 9178348 8.,5120847 9.,8305995 1.,0468998

5, 2658496 9,,1152513 1.,0526965 3L 1.,0469379

5, 6027234 9.,6990630 1«,1200997 3L 1,,0469682

5. 9297585 1.,0265788 3 1<,1855313 3 1.,0469928

6. 2480138 1. 0817269 ; 1<,2492037 3 1<,0470131

6. 5583617 1.,1355026 3 L li,3112923 3 L 1.,0470302

6« 8615341 1.,1880331 ;L 1.,3719436 3L 1«,0470 447

7.,1581516 1.,2394261 3L 1.,4312821 3. 1.,0470571

7. 4487476 1< 2897745 3 1.,4894149 3 1.,0470679

7, 7337829 1.,3391583 3 1.,5464343 3 1. 0470772

8,,0136598 1.,3876474 3 1.,6024209 3 1.,0470855

8,,2887332 1.,4353034 3 1<,6574459 3 1.,0470928

8. 5593163 1. 4821808J 1.,7115721 3 1.,0470993 8 (,8256890 1<,5283281 3 L 1.,7648555 3 1,,0471052

9,,0881014 1.,5737886 3 L 1«,8173460 3L 1<,0471104

9c,3467790 1.,6186017

L 1 ,8690892 3L 1<,0471152

9,,6019260 1.,6628026 3 L 1.,9201256 3L 1.,0471195 9 8537272 1.,7064235 31 1.,9704925 ! 1.,0471235

1.,0102353 ] 1.,7494939 3 L 2.,0202238 3I 1.,0471270

1.,0347955 3 1.,7920402 3 L 2 ,0693501 3L 1.,0471304

1« 0590678 ] 1.,8340874 3 L 2,,1179002 3 L 1.,0471334

1«,0830650 ] 1,,8756578 3 2.,1658998 3 1.,0471362

li,1067993 ] 1.,9167726 3L 2.,2133734 3 1.,0471389

1.,1302819 ] 1.,9574510 3L 2,,2603433 3L 1.,0471413 1 ,1535231 ] 1.,9977110 3I 2<,3068300 3L 1.,0471435

1.,1765323 3 2.,0375692L 2.3528529 3L 1.,0471456

1.,1993189 ] 2.,0770413 3 L 2<,3984300 3 1<,0471476

1.,2218910 ] 2<,1161417 ; L 2.,4435780 iI 1.,0471494

1.,2442566 ] 2.,1548842 3 L 2.,4883128 3 L 1.,0471511 1 ,2664228 ]i 2.,1932815 L 2.,5326489 3L 1.,0471528

1,,2883969 ] 2.,2313455 3 L 2,,5766004 3L 1,,0471542

1.,3101852 3 2.,2690876

L 2.,6201801 3L 1<,0471557

1,,3317938 3 2,,3065183 3 2 ,6634004 3L 1.,0471570

1,,3532285 ] L 2 ,3436476 3 L 2.,7062726L 1.,0471583

1.,3744947 ] L 2 3804852 3 L 2.,7488080L 1<,0471595 1 ,3955977 :L 2 ,4170399 L 2.,7910168 3L 1 0471606 1 ,4165424 !L 2 ,4533202 L 2 8329088 3 L 1.,0471617 1 ,4373334 L 2 ,4893342 L 2 .8744934 L 1.,0471628 1 .4579751 :L 2 ,5250895 L 2 ,9157792 L 1.,0471637 1 4784717 ] L 2 ,5605935 L 2 9567749 L 1 ,0471647 1 ,4988272 L 2 ,5958528 L 2 .9974881 L 1.,0471656 1 ,5190453 ;L 2 6308742 L 3.,0379266 3L 1.,0471664
-39-

Table 26.

cr = 0. 005 mhos/meter ,2=15

Re t s Im t. Arg t c f = 5 kilocycles 123456769 10

1112

13

14

15

16

17

1819

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 4 ,4715822 - 1 6 ,9002843 - L 8 .2224675 - 1 9 ,9580820 1 ,3024985 2 ,2291390 2 ,5817752 1 ,0419966 1 ,9219209 3 ,3107550 3 ,8281692 1 ,0448323 2 ,4529978 4 ,2345510 4 ,8937328 1 ,0457502

2.,9315758 5 ,0657941 5 ,8528975 1 ,0461858

3,,3738042 5 ,8333132 6 ,7387015 1 ,0464343

3.,7887264 6 ,5531087 7 ,5695235 i ,0465927 4 ,1820539 7 ,2352349 8 ,3569250 1 ,0467013

4,,5576858 7 •8865332 9 ,1087820 1 ,0467799 4 ,9184334 8 ,5119252 9 ,8307610 1 ,0468390 5 ,2664085 9 .1151023 1 .0527115 1 1 ,0468848

5(,6032487 9 .6989231 1 .1201139 1 n ,0469214

5.,9302549 1 ,0265656

L 1 , 1855447 1 l ,0469510

6<,2484848 1 ,0817144

L 1 ,2492164 1 l ,0469755

6. 5588104 1,,1354906 1 ,3113043 1 1,,0469960

6. 8619630 1 ,1880216 i ,3719551 1 l,,0470135

7<,1585627 1 ,2394151 : I ,4312931 1 l,,0470284

7, 4491426 1 ,2897639

L 1 ,4894255 1 l,,0470413

7<,7341633 1 ,3391481 : L 1 ,5464445 1 l,,0470526

8.,0140270 1 ,3876376 I 1.,6024308 1 l,,0470626

8,,2890882 1«,4352940 ;L 1 ,6574555 i i«,0470714

8.,5596600 1 ,4821716 : L 1«,7115813 1 l,,0470793

8, 8260224 1,,5283192 ; L 1,,7648644 1 l.,0470863

9« 0884251 1.,5737800 ] li,8173548 1 l, 0470926

9, 3470938 1.,6185933 3 1.,8690976 1 i« 0470964

9, 6022325 1,,6627944 ] 1.,9201338 1 1,,0471036

9« 8540259 1.,7064155 ] 1.,9705005 1 l,,0471083

1. 0102644 ] L 1.,7494861 3 2«,0202316 1 li 0471126

1« 0348239L 1.,7920326 3 2,,0693577 1 l. 0471166

1. 0590956 ;1 li,8340800 3 2. 1179077 1 li 0471203

1. 0830922 ; L 1.,8756506 3 2.,1659072 1 l.,0471237

1. 1068259

L 1.,9167655 3L 2<,2133806 1 i < ,0471268

1. 1303080L 1,,95 74441 3 L 2.,2603504 1 l,,0471297

1. 1535486

L li,9977042 3 L 2.,3068369 1 l.,0471324

1. 1765573L 2,,0375625 3 L 2.,3528596 1 i.,0471350

1. 1993434 i L 2i,0770347 3 2.,3984365 1 1. 0^71373

li 2219151 ; L 2.,1161353 3 2<,4435845 1 i < ,0471395

1. 2442802 : L 2.,1548779 3 2. 4883191 1 i< 0471416

1.,2664461

L 2.,1932753 3 2. 5326552 1 l.,0471436

li 2884197 : L 2«,2313394 3 2.,5766065 1 l,,0471454

1. 3102076 : L 2.,2690816 ] 2.,6291861 1 l.,0471471

1. 3318159

L 2<,3065124 3L 2,,6634063 1 i<,0471487

1.,3532502

L 2 ,3436418

L 2<,7062785 1 i < ,0471502 l f ,3745161 L 2 ,3804795 L 2,,7488138 1 l,,0471517

1. 3956188

L 2,,4170343 3 L 2.,7910225 1 l,,0471531

1.,4165632

L 2.,4533147 3 L 2,,8329145 1 l.,0471544

1. 4373539L 2.,4893287 3 L 2 ,8744989 1 l,,0471556

1.,4579953

L 2.,5250841 3 2 < ,9157847 1 l.,0471568

1. 4784916

L 2.,5605881 3 2.,9567802 1 l. 0471579

1. 4988468L 2,,5958476 3 2.,9974934 1 i.,0471590

1. 5190647 ] L 2<,6308691 3 3, 0379319 1 l. 0471600 - 1
-40-

Table 27.

0. 005 mhos/meter 15

Re t Im t Arg t c f = 6 kilocycles 123456789 1C

11

1213

14

15

16

17

1819

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

4. 5418206 - ] 6. 8858076 - 3 8i,2487865 - 3 9.,3770788

1. 3047075 2, 2285643 2. 5823944 1. 0411459

1. 9234091 3« 3103628 3, 8285774 1, 0444447

2i 4541615 4, 2342429 4i 8940497 1..0455129

2, 9325486 5, 0655361 5.,8531615 1. 0460 198

3, 3746489 5, 8330888 6. 7389300 1<,0463091

3. 7894783 6.,5529087 7, 5697265 1. 0464935

4« 1827350 7,,2350538 8i,3571095 1. 0466199

4, 5583107 7,,8863669 9« 1089505 1, 0467113

4. 9190123 8.,5117710 9«,8309170 1.,0467801

5. 2669491 9<,1149583 1« 0527261 ] 1.,0468335

5i 6037569 9i,6987876 1.,1201276 3 1. 0468760

5, 9307349 1, 0265529 ] 1 < ,1855577 3 li 0469106

6. 2489404 1. 0817022 3 1.,2492287 3 1. 0469390

6. 5592444 1.,1354790 ] 1,,3113160 3 1.,0469629

6, 8623777 1.,1880106 ] 1.,3719663 3 1.,0469833

7, 1589603 1,,239^045 ] 1.,4313038 3 1.,0470006

7. 4495247 1,,2897538 1 1.,4894359 3 1,,0470157

7, 7345313 1,,3391383 ] 1«,5464544 3 1.,0470289

8« 0143821 1,,3876282

J li,6024404 3 1.,0470405

8.,2894315 1.,4352348 3 1,,6574647 3 1.,0470507

8« 5599925 1.,4821628 3 li,7115903 3 1«,0470599

8,,8263448 1.,5283106 3 1.,7648731 ] 1. 0470631

9. 0887382 li 5737716 3 1<,8173631 ] 1. 0470754

9,,3473982 1.,6185852 3 1.,8691058 3 li,0470821

9. 6025288 1.,6627865J

X 4 ,9201418 3 1,,0470881

9,,8543146 1.,7064078 3 1.,9705083 3 1.,0470937

1, 0102926 3 1.,7494786

J 2,,0202392 3 li,0470987

1.,0348514 ] 1.,7920253 ; 2.,0693652 3 1,,0471034

li 0591224 ] 1.,8340729 3 2,,1179150 3 1,,0471077

1« 0831184 ] 1.,8756436 3L 2<,1659142 3 1.,0471116

1,,1068516 ] 1,,9167587 3 L 2,,2133876 3 L 1.,0471152

1,,1303331 ] . 1,,9574374 3 L 2,,2603571

J 1<,0471186

1,,1535732 ] 1.,9976976

JL 2,,3068435 3L 1.,0471218

1,,1765815 ]1 2 ,0375560 : L 2,,3528660 !L 1,,0471247 1 ,1993672 iL 2,,0770284 ;I 2,,3984430 I 1 .0471274 1 .2219383 ]I 2 ,1161290 L 2,,4435906 L 1 .0471300

.1.,2443031 :L 2 ,1548718

L 2,,4883253 3L l ,0471324 i ,2664685 : 2 ,1932693 3 L 2 ,5326612 3 L 1 ,0471347

1.,2884418 :L 2<,2313335

L 2,5766124 1 .0<+"?1368 1 ,3102293 : L 2 ,2690758 L 2,,6201920 3L 1..0471388

li,3318372 ;L 2 ,3065067 ! L 2,,6634120 3 L 1,.0471407

1.,3532712 ]L 2 ,3436362

L 2,,7062841 ]I 1,.0471425 1 ,3745368 : L 2 ,3804739 L 2,7488193 :L 1 .0471442

1.,3956392 : L 2 417Q288

L 2,7910280L 1 .0471456

1<,4165833 ; L 2 ,4533093

L 2 .8329198 I 1«.0471473

1<,4373737

L 2 4893235

L 2,.8745043 3L 1<.0471488 1 ,4580 148 L 2 ,5250789 L 2 ,9157899 L 1 ,0471501 1 ,4785109 L 2 .5605830 L 2 ,9567854 L 1 ,0471514 1 .4988658 L 2 .5956425 L 2 ,9974985 L 1 .0471527 1 ,5190834 L 2 .6308641 3 ,0379369 L 1 ,0471539 - 1
-41- Table 28.

cr = 0. 005 mhos/meter 15

Re t Im Arg t f = 7 kilocycles 1234567891011

12

1314

1516

17

18

1920

21

2223

24

25

26

27

28

29

30

31

3233

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

4,,6100920 - L 6 8723625 - 1 8 .2754040 - 1 9,,7992647 - 1 1 3068566 2 2280080 2..5830010 1..0403191

1.,9248567 3,,3099821 3..8289757 1(.0440678

2.,4552935 4,2339438 4,,8943586 1,,0452822

2.,9334947 5<,0652853 5,.8534185 1.,0458585

3,,3754706 5 .8328708 6«.7391530 1.,0461874 3 ,7902098 6 .5527146 7.,5699245 1,.0463969 4 ,1833974 7 2348778 8,,3572885 1 .0465407

4, 5589183 7,.8862053 9..1091145 1,.0466447

4,,9195754 8 .5116214 9..8310690 1<.0467229

5,,2674749 9,.1148185 1.,0527403 1 1,.0467836

5. 6042510 9 ,6986562 1.,1201409 1 1<,0468320

5.,9312018 1.,0265404 1 1«,1855703 1 1.,0468712

6<,2493834 1.,0816905 1 1.,2492407 1 1,,0469036

6. 5596664 1,.1354679 i 1,,3113274 1 1,,0469308

6. 8627812 li,1879998 1 1.,3719771 1 1,,0469538

7<,1593469 1..2393942 1 1<,4313143 1 1.,0469736

7.,4498963 1.,2897439 1 1,,4894459 1 1,,0469908

7.,7348892 1,,3391288 1 1.,5464641 1 1.,0470058

8,,0147275 1.,3876190 1 1<,6024497 1 1,,0470189

6,,2897654 1,,4352759 i 1<,6574737 1 1,,0470306

8. 5603158 1,,4821541 1 1.,7115990 1 1,,0470410

a,,8266583 1.,5263022 1 1<,7648815 1 1,,0470503 9 , ,0890427 1,,5737635 1 1,,8173714 1 1.,0470587

9. 3476943 1.,6185773 1 1<,8691138 1 1«,0470663

9« 6028170 1.,6627788 1 1.,9201496 1 1.,0470731

9, 8545955 ii,7064004 1 1.,9705159 1 1.,0470794

1. 0103199 ;t 1.,7494713 1 2<,0202466 1 1<,0470852

1, 0348782 :L 1.,7920181 1 2.,0693723 1 1.,0470904

1. 0591486 :L 1,,8340659 1 2.,1179220 1 1.,0470953

1, 331440 :L 1,,8756368 1 2,,1659211 1 1<,0470998

1.,1068766L 1«,9167520 1 2,,2133943 1 1,,0471039

1. 1303576 ] 1< 9574308 1 2« 2603636 1 1,,0471078

1. 1535972 ] i<,9976912 1 2. 3068500 1 1.,0471114

1, 1766050 ]I 2, 0375498 1 2.,3528724 1 1«,0471147

1. 1993902 ]L 2. 0770223 1 2. 3984492 1 1«,0471178

1. 2219610 ]1 2<,1161230 1 2,,4*35968 1 1.,0471207

1. 2443253 !L 2.,1548659 1 2,,4883313 1 1,,0471235

1«,2664904 : 2.,1932635 1 2.,5326671 1 1,,0471261

1.,2884633 ! L 2,,2313273 1 2.,5766183 1 1.,0471285

1.,3102504 ]L 2,,2690702 1 2.,6201977 1 1(,0471308

1. 3318580 :I 2,,3065012 1 2.,6634177 1 1.,0471329

1.,3532917L 2<,3436308 1 2.,7062897 1 1.,0471349

1.,3745569

L 2,,3804686 1 2,,7488248 1 1.,0471369

1,,3956590

L 2,,4170236 1 2.,7910334 1 1,,0471387 1 ,4166028 :L 2,,4533041 1 2,,8329251 1 1<,0471404

1(,4373929 : L 2.,4893183 1 2.,8745094 1 1,,0471421

1.,4580336L 2.,5250738 1 2.,9157950 1 1.,0471436

1,,4785296

L 2,,5605780 1 2<,9567904 1 1<,0471451

1.,4988843

L 2<,5958376 1 2,,9975035 1 1.,0471465 i ,5191016 L 2 ,6308592 1 3,,0379417 1 1,,0471479
-42-

Table 29.

cr = 0. 005 mhos/meter £ 2= 15

Re t Im t Arg t 1236789 10

11121314

15

1617

131920

21

22

23

24

25

26

27

28

29

30

31

3233

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 f = 8 kilocycles

4,,6767152 - :L 6,,e598358 - ]t 8,,3023500 - . I 9 7242177 - 1 1. 3089561 2,,2274673 2,5835977 1,,0395123

1..9262707 3.,3096116 3 8293666 1 0437000

2.,4563989 4,,2336523 4,8946612 1,.0450570

2. 9344188 5,,0650411 5,.8536700 1,.0457010

3, 3762730 5,,8326583 6,.7393710 1,.0460685

3. 79C9241 6,,5525253 7,,5701185 1,.0463027

4, 1840444 7,,2347062 8,,3574640 1,.0464634

4. 5595H9 7.,8860478 9<,1092755 1,.0465796

4i 9201252 8,,5114754 9.,8312180 1«,0466671

5« 2679884 9,,1146820 1,,0527542 ] L 1«,0467349

5. 6047336 9,,6985280 1,,1201539

L 1,,0467889

5. 9316577 It 0265283 !I 1<,1855626 ;L 1(0468328

6, 2498161 1.,0816790

L 1,,2492524

L 1,,0468690

6< 5600786 1,,1354569 ;L 1..3113385 :I 1.,0468994

6. 8631751 1,,1879894L 1..3719878

L 1,,0469252

7,,1597246 1,,2393842 j L 1.,4313245 ;L 1 ,0469473

7. 4502591 1,,2897342 ]L 1.,4894556 jI 1,,0469664

7<,7352386 li,3391195 iL 1.,3464735 ]L 1,,0469832

8, 0150647 1,,3876100

L 1,,6024588 :L 1.,0469979

8. 2900915 1.,4352672 ] 1.,6574825 ] 1<,0470109

3. 5606315 1.,4821457 ] 1.,7116075 ]L 1.,0470225

8, 8269645 li,5282940 ]L 1.,7648897 ]L 1.,0470330

9. 893401 1.,5737556 3 1.,8173794 3L 1-,0470423

9. 3479834 1,,6185696 ] 1,,8691216 1L 1<,0470508

9i,6030985 1.,6627713 ; 1,,9201572 ]L 1.,0470585

9<,8548696 1.,7063931 j L 1,,9705233

L 1.,0470656

li 0103467 ]1 1.,7494642 j 2.,0202538 j 1.,0470720

i. 0349043 ]1 1.,7920112 ] 2.,0693794 j 1.,0470778

1. 0591741 ]i 1.,8340591 ] 2«,1179289 1 1.,0470833

1. 0831669 1L 1.,8756301 j L 2.,1659278 iL 1,,0470883

1.,1069010 ] 1.,9167455 : 2.,2134008 ]L 1.,0470929

1«,1303815 ]1 1<,9574245 ]L 2<,2603701

JL 1.,0470972

1.,1536206 ]L 1<,9976850 j 2.,3068563 ]L 1.,0471012

1.,1766280 ;L 2«,0375437 :L 2,,3528786 jL 1<,0471050

1,,1994127

L 2,0770163 :L 2<,3984553

L 1 0471085 1 2219831 L 2 .1161171 L 2,,4436028 L 1 0471117 1 i 2443470 L 2 1548601 L 2,,4883371 : L 1 0471148

1.,2665117 2,.1932578

L 2.,5326729

L 1 ,0471177 1 2884843 L 2,.2313222 L 2,,5766239 ;L 1..0471203

1.,3102710 :L 2,,2690647 I 2,,6202032 j L 1<.0471229

1,,3318783 ; L 2,,3064957 ;L 2.,6634230

L 1.,0471253

1< 3533116

L 2,,3436255 !1 2.,7062951 ]L 1.,0471276 1 3745766 L 2,3804633 j L 2, 7488300 ] L 1<,0471297 1 ,3956784 \L 2<,4170184 L 2. 7910386 1L 1,,0471317

1.,4166219 :L 2<,4532990 j 2.,8329302 ]L lr,0471337

1. 4374117L 2<,4893133 ]L 2. 8745144 ;I 1.,0471355

1.,4580523 :L 2<,5250689 ] 2.,9158000 ]L 1«,0471373

1.,4785479 I 2.,5605732 ] L 2,,9567954 3 1«,0471389

1.,4989023 : L 2<,5958328 ] L 2.,9975083 jL 1«,0471405

1. 5191194

L 2,,6308545 ;1 3.,0379466 1L 1.,0471421
-43-

Table 30.

cr = 0. 005 mhos/meter 15

Re t Im

Arg t 123456789 10

111213

141516

17

181920

2122

23

24

2526

27

26

29

30

31

32

3334

35

36

37

38

39

40

4142

^3

44

45

46

47

48

49

50 f = 9 kilocycles

4.7419218 • 1 6,.8481425 - .L 3 .3296385 -- 1 9,,6316282

1.3110128 2,.2269404 2 .5841862 1 ,0387226

1.9276559 3i 3092496 3 .8297507 1 ,0433399

2.4574819 4,•2333674 4 .6949583 1 ,0446364

2.9353240 5,.0648022 5 ,8539175 1.,0455467

3.3770590 Ot.3324303 6 . 7395650 J. .0-+59522

3.7916236 6<.5523400 7 .5703C85 1 ,0462103

4. 1846780 7 •2345382 3 .3576333 1X ,0463876

4, 5600932 7 .8638936 9 ,1094330 1 ,0463159

4.9206633 6 .5113325 9 .6313640 1 ,0466124

5.2684914 9,.1145466 1 .'-527678 1 1 ,0466872

5.6052C62 9,.6984025 1 .1201666 1 1 ,0467466

5.9321042 1<.0265164 ;I 1 .1855946 1 1 ,0467952

6.2502398 1..0816677

L 1 .2492633 1 1.,0466351

6.5604823 1..1354461 ; 1 .3113494 1 1 ,0466666

6.863561^ 1,.1879791 ;I 1 .3719982 1 1.,0468971

7.1600944 1<.2393744 i 1..4313345 1 li,0469215

7.4506146 1<.2697246

L 1 .4894653 1 1<,0469426

7.73553C9 1..3391104

L 1 .5464827 1 1 ,0469611

8.0153950 1<.3876012 :L 1 .6024677 1 1(,0469773

8.2904106 1 1

.4352537 ; 1..6574911 1 1,,0469917

8.5609407 1,.4821375

J1 1 .7116158 1 1.,0470045

8.8272644 1..5262861 I 1 ,7648979 1 1.,0470160

9.0896313 1..5737478 ] 1.,8173672 1 1<,0470263

9.348266b 1. 6185620 j 1 .6691292 1 1,,0470357

9.6033742 li 662764 ] 1,.9201646 1 1.,0470442

9.8551382 li 7063859 3 1,,9705305 1 1,,0470519

1.0103729 1 li 7494572 3 2..0202609 1 1,,0470590

1.0349296 1 1. 7920C44 3 2..0693863 1 1,,0470655

1.0591991 1 1. 8340324 3 2..1179356 1 1.,0470715

1.0831933 1 li 8756236 3 2.,1659344 1 1..0470770

1.1069249 1 1. 9167391 3 2 ,2134072 1 1.,0470821

1. 1304049 1 1. 9574182 3 2.,2603764 1 1.,0470869

1.1536436 1 1 ( .9976789 3L 2., J068625 1 1,,0470913

1.1766503 1 2i 0375377 3 2 ,3526847 1 1<,0470954

1. 1994348 1 2i 0770104 t 2,,3984612 1 1(,0470993

1.2220047 1 2i.1161114 ;L 2 ,4436066 1 1.,0471029

1.2443663 1 2..1548545 iL 2,,4833429 1 1.,0471062

1.2665326 1 2<.1932522 I 2 ,5326784 1 1.,0471094

1.288504a 1 2..2313167 2 ,5766294 1 1.,0471124

1.3102912 1 2,.2690593L 2 6202C86 1 1 ,0471152

1.3318961 1 2..3064905

L 2 ,6634284 1 1 ,0471179

1.3533312 1 2..3436203L 2 ,7063003 1 1 ,0471203

1.3745956 1 2<.380^582L 2 ,7488352 1 1 ,0471227

1.395697^ 1 2< 4 170134L 2.,7910437 1 1«,0471250

1.41664C5 1 2i 4532941 3L 2<,8329353 1 1.,0471271

1.4374301 1 2. 4893084 3L 2<,6745194 1 1.,0471291

1.4580 705 1 2 < 5250641

J 2.,9158049 1 1.,0471310

1.4785658 1 2 < 5605684 3 2.,9568002 1 1.,0471329

1. 498920t' 1 2< 5956281 3 2. 9975131 1 1,,0471346

1.5191368 1 2< 6303499 3 3.,0379513 1 1.,0471363 - 1
-44-

Table 31

0. 005 mhos/meter

Re Im t

< 2 =15

lr g T c

f = 10 kilocycles

12

34

56

7

89 10

4.8058876

1.3130330

1.9290160

2.4585452

2.9362127

3.3778308

3.7923106

4.1853002

4.5606639

4.9211926

5.2689851

- 1 6.8372164

2.2264255

3.3088951

4.2330884

5.0645680

5.8322467

6.5521584

7.2343737

7.8857425

8.5111925

9.1144178

8.3572775

2.5847681

3.8301293

4.8952510

5.8541605

6.7397955

7.5704955

8.3578050

9.1095880

9.8315075

1.0527812

- 1 9.5812590 - 1 1.0379462

1.0429864

1.0446199

1.0453953

1.0458379

1.0461200

1.0463135

1.0464534

1.0465586

1 1.0466404

20 Kilocycles

1234

5

67

8910

5.3981006 - 1 1.3318858

1.9416987

2.4684553

2.9444935

3.3850200

3.7987088

4.1910942

4.5659788

4.9261164

5.2735827

6.7616103

2.2217560

3.3056450

4.2305197

5.0624098

5.8303667

6.5504817

7.2328529

7.8843460

8.5098975

9.1132078

8.6521015 - 1 2.5903899

3.8337297

4.8980169

5.8564525

6.7417755

7.5722520

8.3593920

9.1110415

9.8328520

1.0529066 1

8.9706503 - 1 1.0307634

1.0397014

1.0426069

1.0439872

1.0447754

1.0452777

1.0456224

1.0458716

1.0460592

1.0462048

f = 30 kilocycles

12

34

56

789 10

5.9343711

1.3492993

1.9533872

2.4775783

2.9521114

3.3916307

3.8045901

4.1964187

4.5708618

4.9306396

5.2778054

- 1 6.7330429

2.2176880

3.3027495

4.2282150

5.0604666

5.8286706

6.5489669

7.2314780

7.8830824

8.5087253

9.1121121

8.9750000 - 1 2.5959100

3.8371703

4.9006322

5.8586075

6.7436310

7.5738940

8.3608735

9.1123965

9.8341045

1.0530234 1

8.4836411 - 1 1.0242042

1.0366927

1.0407620

1.0426965

1.0438014

1.0445057

1.0449890

1.0453384

1.0456015

1.0458056

f = 50 kilocycles

1234

56

7

89 10

6.90199

1.382061

1.975281

2.4946269

2.9663272

3.4039549

3.8155468

4.2063328

4.5799501

4.9390 547

5.2856595

- 1 6.77996

2.210790

3.297640

4.2240966

5.0569731

5.8256109

6.5462281

7.2289875

7.8807911

8.5065976

9.1101216

9.67499

2.607237

3.843977

4.9057268

5.8627700

6.7471960

7.5770375

8.3637010

9.1149775

9.8364865

1.^532451

- 1 7.76480

1.012094

1.031114

1.0373392

1.0403018

1.0419945

1.0430737

1.0438142

1.0443498

1.0447526

1.0450656

- 1
-45-

Table 32.

o" = 0. 005 mhos/meter

Re t Im t

<2

= 15

Arg t

12

34

56

7

89 10

f = 60 kilocycles

7.34480 - 1 6.84587 - 1 1.00405

1.39789 2.20786 2.61319

1.985799 3.295354 3.847435

2.5027940 4.2222255 4.9082753

2.9731248 5.0553742 5.8648340

3.4098410 5.8242044 6.7489535

3.8207752 6.5449655 7.5785815

4.2110605 7.2278372 8.3650860

4.5842815 7.8797312 9.1162385

4.943C635 8.5056121 9.8376480

5.2893997 9.1091989 1.0533530 1

7.50254 - 1 1.00636

1.028463

1.0357126

1.0391641

1.0411364

1.0423938

1.0432566

1.0438806

1.0443501

1.0447146

f = 70 kilocycles

12

34

56

7

8

9 10

7.76372 - 1 1.41352

1.996146

2.510811

2.9797882

3.4156053

3.8258917

4.2156843

4.5885161

4.9469813

5.2930539

6.93589

2.20526

3.293227

4.220462

5.0538581

5.8228661

6.5437616

7.2267384

7.8787176

8.5046691

9.1083153

1.04107

2.61939

3.850966

4.910852

5.8669090

6.7507135

7.5801230

8.3664655

9.1174925

9.8388020

1.0534602

7.29141 - 1 1.00079

1.025877

1.034125

1.0380541

1.0402993

1.0417308

1.0427129

1.0434232

1.0439577

1.0443725

f = 80 kilocycles

12

34

56

7

89 10

8.1600 - 1 1.42905

2.00638

2.518719

2.986351

3.4212766

3.8309218

4.2202276

4.592675C

4.9508275

5.296640U

7.0476

2.20299

3.29125

4.218799

5.052418

5.8215902

6.5426109

7.2256865

7.8777459

8.5037638

9.1074664

1.0782

2.62590

3.85459

4.913472

5.869006

6.7524845

7.5816700

8.3678470

9.1187470

9.8399540

1.0535670

7.1238 - 1 9.95345 - 1 1.02334

1.032569

1.036966

1.0394793

1.0410815

1.0421806

1.0429755

1.0435735

1.0440377

f = 90 kilocycles

12

34

56

7

8910

8.5343 - 1

1 . 4445

2.01654

2.526550

2.992840

3.426877

3.8358851

4.2247073

4.5967734

4.9546164

5.3001715

7.1791

2.2010

3.28943

4.217232

5.051051

5.820373

6.5415096

7.2246777

7.8768125

8.5028934

9.1066493

1.1152

2.6327

3.85834

4.916147

5.871134

6.754275

7.5832290

8.3692365

9.1200055

9.8411085

1.0536740

6.9937 - 1 9.9001 - 1 1.02085

1.031038

1.035896

1.038673

1.0404433

1.0416576

1.0425357

1.0431963

1.0437090
-46-

Table 33„

1234

5

6

7

8910

0„ 005 mhos/meter 6 2 =

15

Re t Im t

f = 100 kilocycles

Arg t c

8.8869 - 1 7.3284 1 1.1519 6.8958 1 1.4-601 2.1995 2.6400 9.8476 1 2.02666 3.28775 3.86221 1.01839

2.53433 4.21576 4.91889 1.02953

2.999274 5.049755 5.873302 1.0 34841

3.432424 5.819213 6.756092 1.037878

3.840 796 6.540456 7.584806 1.039S15

4.2291370 7.2237103 8.3706385 1.0411425

4.6008241 7.8759157 9.1212735 1.0421026

4.9583591 8.5020560 9.8422700 1.0428249

5.3036587 9.1058623 1.0537814 1 1.0433854

f = 200 kilocycles

1234

56

7

8910

1.12 9.48 L 1.47 7.03 - 1 1.625 2.208 2.741 9.363 - 1 2.131 3.281 3.912 9.948 - 1 2.6128 4.2067 4.9521 1.0150

3.0634 5.0408 5.8986 1.0247

3.48724 5.81070 6.77680 1.03027

3.88902 6.53244 7.60246 1.03381

4.27243 7.21617 8.38611 1.03623

4.64026 7.86881 9.13510 1.03798

4.99468 8.49533 9.85482 1.03930

5.337410 9.099479 1.054934 I 1.040316

f = 300 kilocycles

1234

5

6

7

8

910

1.161 1.155 1.638 7.829 - 1 1.83 2.29 2.93 8.96 - 1 2.25 3.30 3.99 7.2 - 1 2.700 4.212 5.003 1.001

3.133 5.041 5.935 1.015

3.5452 5.8091 6.8054 1.0229

3.9393 6.5298 7.6261 1.0280

4.3170 7.2131 8.4062 1.0315

4.6805 7.8654 9.1527 1.0340

5.03148 8.49185 9.87052 1.03590

5.37139 9.09595 1.05635 1 1.03737

12

34

56

7

89

10

1.15669

1.7906

2.40

2.80

3.212

3.610

3.995

4.3657

4.7240

5.0708

5.4075

f = 400 kilocycles

1.27758 1.72341

2.4204 3.0108

3.36 4.13

4.24 5.08

5.057 5.991

5.818 6.847

6.535 7.659

7.2163 8.4341

7*8672 9.1766

8.4927 9.8914

9.0962 1.0582

8.35020 - 1 9.3385 - 1 9.51 - 1 9.87 - 1 1.005

1.015

1.022

1.0267

1.0300

1.0325

1.0344
-47-

Table 34. 12345678910 £ o- = 0. 005 mhos/meter 2 = B

Re t Im t It 1 s s ' s J f = 500 kilocycles

Arg t

1.124950 1.348631 1.756223 8.75581 - 1 1.8045 2.5167 3.0968 9.4875 - 1 2.343 3.471 4.188 9.772 - 1 2.795 4.317 5.143 9.963 - 1 3.31 5.10 6. "7 9.95 - 1 3.686 5.843 6.909 1.008

4.058 6.552 7.707 1.016

4.420 7 2.29 8.473 1.022

4.772 7.877 9.209 1.026

5.114 8.500 9.920 1.029

5.4469 9.1016 1.0607

L 1.0315 f = 600 kilocycles; 12345678910

1.098047 1 . 7872

2.3457

2.833

3.271

3.67

4.13

4.483

4.827

5.163

5.491

1.392024

2.5740

3.5399

4.393

5.174

5.90

6.59

7.254

7.896

8.515

9.114

1.T72975

3.1336

4.2466

5.227

6.121

6.95

7.78

8.528

9.255

9.958

1.064

9,029140

9.6388

9.8558

9.981

1.007

1.1

1.01

1.017

1.022

1.026

1.029 - 1 - 1 - 1 - 1

700 kilocycles 123456789 1012345678910

1.0770080

1.76899

2.3333

2.8295

3.281

3.698

4.089

4.457

4.81

5.217

5.539

1.0604338

1.75347

2.3198

2.8192

3.2746

3.694

4.096

4.473

4.833

5.178

5.51

1.4212058

2.61048

3.5831

4.4422

5.227

5.959

6.650

7.309

7.94

8.543

9.137 f = 800 kilocycles

1.4422645

2.63573

3.6122

4.4749

5.2633

5.998

6.691

7.351

7.983

8.592

9.18

1.7831916 9.2231368 - 1 3.15340 9.75229 - 1 4.2758 9.9359 - 1 5.2668 1.0036

6.172 1.010

7.013 1.015

7.807 1.020

8.561 1.023

9.28 1.03

1.001 1 1.023

1.068 1 1.026

r cles 1.7901527 9.3679826 - 1 3.16571 9.83760 - 1 4.2930 9.9993 - 1 5.2889 1.0086

6.1988 1.0142

7.046 1.018

7.845 1.022

8.605 1.024

9.332 1.026

1.003 1 1*028

1.07 1 1.03
• 48-

Table 35.

12

34

56

7

8

9 10

Re t

1.0471132

1.740615

2.30779

2.8085

3.2656

3.6910

4.0918

4.473

4.837

5.186

5.524

0. 005 mhos/meter

Im t

. 2 -15

M f = 90 kilocycles

1.4582463

2.654273

3.63310

4.4980

5.2884

6.0249

6.7196

7.381

8.014

8.624

9.214

1.7952517

3.174100

4.30411

5.3028

6.2154

7.0656

7.8674

8.630

9.361

1.006

1.074

Arg t

9.4804989 - 1 9.903697 - 1 1.00489

1*0126

1.0176

1.0211

1.0238

1.026

1*028

1.029

1.031

f = 1000 kilocycles

12

34

56

7

8

9 10

1.0361903

1.729924

2.29752

2.79884

3.2566

3.6832

4.0852

4.4674

4.8332

5.185

5.525

1.4708329

2.668528

3.64886

4.51513

5.3069

6.0446

6.7406

7.4029

8.0373

8.648

9.238

1.7991775

3.180201

4.31194

5.31224

6.2265

7.0784

7.8819

8.6464

9.3786

1.008 1 1.076 1

9.5706180 - 1 9.956391 - 1 1.00 886

1*01589

1*0204

1.0235

1*0259

1.0278

1*0294

1*031

1*032

f = 1100 kilocycles

12

34

56

7

89 10

1.0270720 1.48x0289 1*8023106 9.6445592 - 1 1*720935 2.679863 3.184852 9.999432 - 1 2.288771 J. 66i20a 4.317745 1.012096

2.79042 4.52842 5.31912 1.01855

3.2488U 5.32110 6.23446 1.02265

3.6757 6.0597 7.U874 1.0255

4.0 764 6.7564 7.8919 1.0277

4.4613 7.4195 8.6575 1.0294

4. 028UU o»054b 9.3907 1.0308

5.1807 8.6659 1.0096 1 1.0320

5.5213 9.2567 1.0778 1 1.0330

f = 1200 kilocycles

12

34

56

7

89 10

1.0193427 1.4894728 1.8048792 9.7064107 - 1 1.7132862 2.6691140 3.1885238 1.0035295

2.281263 J. 671170 4.322228 1.014790

2.78311 4.53905 5.32434 1.02077

3.24173 5.33235 6.24041 1.02456

3.06697 6.0 7J.D3 7*^9400 1.02723

4.07193 6.76868 7.89V26 1.0292J

4.4553 7.4325 8.6656 1.0308

4.0224 0.0681 9.3995 1.0321

5.1756 8.6799 1.0106 1 1.0331

5.5168 9.2712 1.0788 1 1.0340
-49-

Table 36.

1234

56

7

8910

Re t

0„ 005 mhos/meter

Im t

15

f = 1300 kilocycles

Arg t

1.0127037 1.4965919 1.8070297 9.7589805 - 1 1.7067018 2.6968241 3.1915030 1.0065676

2.274770 3.679396 4.325799 1.017069

2.776737 4.547749 5.328442 1.022638

3.23551 5.34150 6.24501 1.02617

3.66293 6.08111 7.09909 1.02865

4.06610 6.77888 7.90483 1.03051

4.4971 7.44290 8.67161 1.03196

4.8171 8.0789 9.4060 1.0331

5.1706 8.6911 1.0113 1 1.0341

5.5121 9.2827 1.0796 1 1.0349

f = 1400 kilocycles

j

12

34

56

7

89 lO

1.0U69366 i. 50^6615 1.B086596 y.d0425<i9 - 1 i. /UU9747 <!» 7033384 3. iyjV728 1.0091768

2. <£b*10b .3.6ob.il:> 4,:>^b7i4 1.01902<!

1% /71133 4. 323Ui!j 5.331748 i.024^H3

3.230031 3.349110 6.^4b6o 7 1.027355

3.b5757 b.0B*O4 7.10311 1.02960

4.060b? 6.78711 7.9092i 1.03161

4, 4446

J

7.45143 8.67632 1.03297

4.81215 6.08772 9.41106 1.03407

3.X6586 a. 70017 1.01183 1 1.03497

3. 30 7b 9.29^0 i.ofc02 i 1.0357

f = 1500 kilocycles

12

34

5

6

7

8

9 10

1.001877 1.507956 1.810439 9.843684

1.695947 2.708975 3.196057 1.011444

2.264124 3.692225 4.331141 1.020717

2.766231 4.561202 5.334473 1.025633

3.225177 5.355543 6.251688 1.028751

3.652792 6.095715 7.106380 1.030936

4.05619 6.79402 7.91273 1.03257

4.44005 7.45856 8.68010 1.03384

4.80768 8.09506 9.41509 1.03487

5.16151 8.70773 1.01225 1 1.03572

5.50340 9.29976 1.08062 1 1.03644

- 1

f = 1600 kilocycles

1234

56

7

89 10

9.9740192 - 1 1.5125706 1.6116169 9.8763347 - 1 1.6914964 2.7138576 3.1978404 1.0134340

2.<i597U90 3.6973366 4.3331955 1.0222025

2.761859 4.566523 5.336759 1.026851

3.220855 5.361060 6.^54139 1.029798

3.648528 6.101419 7.109084 1.031863

4.051986 6.799900 7.915632 1.033405

4.43592 7.46462 8.68320 1.03461

4.80363 0.10129 9.41837 1.03558

3.15754 8.71411 1.O1260 1 1.0363b

3.49952 V.3U6J0 1.060*6 1 1.03706
-50-

Table 37.

o" = 0. 005 mhos/meter € 2= 15

Re Im t Arg t

1234

56

7

89 10

f = 1700 kilo.:ycles

9.9341264 - 1 1.5166453 1.8130311 9.9090960

1.6875286 2.7181462 3.1993862 1.0151955

2.2557687 3.7018068 4.3349586 1.0235159

2.7579518 4.5711585 5.3387065 1.0279263

3.216986 5.365850 6.256305 1.030723

3.644702 6.106356 7.111360 1.03268

4.048207 6.804977 7.918062 1.034143

4.432191 7.469832 8.685777 1.035284

4.79995 8.10663 9.42110 1.03620

5.15393 8.71958 1.01289 1 1.03697

5.49597 9.31190 1.08128 1 1.03761

- 1

f = 1800 kilocycles

12

34

567

89 10

9.8983338 - 1 1.5202713 1.8141100 9.9365528

1.6839679 2.7219450 3.2007395 1.0167666

2.2522309 3.7057521 4.3364897 1.0246860

2.754440 4.575236 5.340387 1.028884

3.213505 5.370052 6.258120 1.031545

3.641253 6.110674 7.113302 1.033409

4,044794 6.809408 7.920126 1.034800

4.428817 7.474371 8.687960 1.035885

4.796621 8.111274 9.423393 1.036760

5.150638 8.724325 1.013128 1 1.037483

5.49273 9.31674 1.08153 1 1.03809

- 1

f = 1900 kilocycles

12

34

56

7

89 10

9.8660317 - 1 1.5235197 1.8150753 9.9612319

1.6807537 2.7253351 3.2019344 1.0181774

2.249036 3.709262 4.337832 1.025736

2.751267 4.578854 5.341851 1.029742

3.210355 5.373769 6.259695 1.032282

3.638130 6.114488 7.114981 1.034060

4.041699 6.813312 7.921903 1.035387

4.425752 7.478363 8.689832 1.036423

4.793588 8.115350 9.425359 1.037257

5.14764 8.72848 1.013334 1 1.037946

5.48976 9.32098 1.08175 1 1.03853

- 1

f = 2000 kilocycles

12

34

56

7

8

9 10

9.8367272 - 1 1.5264480 1.8159448 9.9835424 - 1 1.6778378 2.7283806 3.2029986 1.0194513

2.2461364 3.7124054 4.3390187 1.0266827

2.7483854 4.5820866 5.3431395 1.0305160

3.2074930 5.3770851 6.2610745 1.0329459

3.6352887 6.1178811 7.1164455 1.0346472

4.0388802 6.8167804 7.9234495 1.0359166

4.4229573 7.4819022 8.6914565 1.0369066

4.7908186 8.1189584 9.4270585 1.0377044

5.1448965 8.7321589 1.0135115 1 1.0383637

5.487048 9.324719 1.081934 1 1.038919
12

34

56

7

8

9 1C

12

34

56

7

89 10

12

34

5

6

7

89 10

-51- Table 38.

cr= 0. 00 5 mhos/mete r < 2 =15

Re t

s Im t

s KI Ars6 t

s

f = 2500 kil(Dcycles

9.7232175 - 1 1.5376294 1.8192619 1.0069283

1.6665421 2.7399263 3.2069548 1.0243376

2.2348972 3.7242554 4.3433678 1.0303090

2.7372056 4.5942092 5.3478085 1.0334747

3.1963756 5.3894603 6.2660275 1.0354814

3.6242366 6. 1304942 7.1216605 1.0368861

4.0278960 6.8296196 7.9289125 1.0379338

4.4120436 7.4949586 6.6971565 1.0387508

4.7799786 8.1322235 9.4329875 1.0394086

5.1341329 8.7456265 1.0141267 i 1.C399522

5.4763633 9.3383830 1.0825708 1 1.0404102

f = 3000 kilocycles

9.6455315 - 1 1.5451521 1.8214988 1.0127403

1.65881C9 2.7476268 3.2095338 1.0276424

2.2272010 3.7321029 4.3461496 1.0327564

2.7295437 4.6021880 5.3507515 1.0354681

3.1887478 5.3975598 6.2691120 1.0371870

3.6166429 6.1387067 7.1248740 1.0383901

4.0203367 6.8379394 7.9322455 1»0392875

4.4045196 7.5033808 8.7006045 1.0399871

4.7724903 8.1407444 9.4365450 1.0405504

5.1266807 8.7542422 1.0144931 1 1.0410157

5.4689476 9.3470906 1.0829473 1 1.0414076

f = 3500 kilocycles

9.5890521 - 1 1.5505738 1.8231233 1.0169430

1.6531898 2.7531473 3.2113638 1.0300294

2.2216039 3.7377C48 4.3480986 1.0345221

2.7239693 4.6078618 5.3527935 1.0369045

3.1831954 5.4032997 6.2712345 1.0384148

3.6111123 6.1445084 7.1270690 1.0394719

4.0148277 6.3437995 7.9345090 1.0402604

4.3990317 7.5092966 8.7029315 1.0408750

4.7670236 8.1467136 9.4389330 1.0413699

5.1212349 8.7602629 1.0147377 1 1.0417786

5.4635232 9.3531611 1.0831977 1 1.0421228

f = 4000 kilocycles

9.5462146 - 1 1.5546766 1.8243688 1.0201229

1.6439265 2.7573098 3.2127428, 1.0318340

2.2173581 3.7419163 4.3495535 1.0358559

2. 7197398 4.6121166 5.3543075 1.0379889

3.1789614 5.4075945 6.2727985 1.0393411

3.6069131 6.1488402 7.1286785 1.0402876

4.0106431 6.8481663 7.9361605 1.0409936

4.3946617 7.5136965 8.7046220 1.0415438

4.7628677 8.1511454 9.4406610 1.0419870

5.1170933 3.7647254 1.0149141 1 1.0423528

5.459395^ 9.3576532 1.0833775 1 1.0426610
1234

56

7

89 10

C

12

34

56

7

8

9 10

12

3

56

7

89 10

12

34

56

7

89 10

-52-

Table 39.

<r = 0. 005 mhos/meter e = 15

Re t

s Im ts U Argx

s

f = 4500 kil<acycles

9.5126877 - 1 1.5578971 1.8253646 1.0226113

1.6455894 2.7605692 3.2138306 1.C332457

2.2140 343 3.7452072 4.3506925 1.0368987

2.7164283 4.6154359 5.3554860 i. 0388363

3.1756814 5.4109389 6.2740110 1.0400647

3.6036242 6.1522085 7.1299210 1.0409246

4.0073650 6.8515569 7.9374305 1.0415658

4.3915938 7.5171C85 8.7059185 1.0420657

4.7596101 6.1545778 9.4419820 1.0424682

5.1138455 8.7681773 1.0150485 1 1.C428006

5.4561576 9.3611240 1.0835142 1 1.0430805

f = 5000 kilocycles

9.4858023 - 1 1.5604993 1.3261880 1.0246104

1.6429132 2.7631974 3.2147199 1.0343794

2.2113687 3.7478571 4.3516187 1.0377359

2.7137720 4.6181047 5.3564400 1.0395165

3.1730342 5.4136251 6.2749865 1.0406452

3.6009856 6.1549106 7.1309200 1.0414354

4.0047343 6.8542742 7.9384490 1.0420247

4.3889711 7.5198402 8.7069550 1.0424840

4. 7569950 8.1573232 9.4430355 1.0428540

5.1112381 8.7709360 1.0151555 1 1.0431594

5.4535577 9.3638954 1.0836228 1 1.C434166

f = 6000 kilocycles

9.4455548 - 1 1.5644653 1.8274947 1.C276196

1.6389067 2.7671955 3.2161135 1.0360855

2.2073776 3.7518813 4.3530598 1.0389954

2.7097947 4.6221519 5.3579170 1.C4C5392

3.1690697 5.4176932 6.2764960 1.0415179

3.5970330 6.1589984 7.1324545 1.C422031

4.00C7934 6.8583802 7.9400080 1.0427141

4.3850414 7.5239637 8.7085370 1.0431125

4.7530761 8.1614634 9.4446395 1.0434332

5.1073298 8.7750921 1.0153180 1 1.0436981

5.4496595 9.3680669 1.0837872 1 1.0439211

f = 7000 kilocycles

9.4170725 - 1 1.5673700 1.8285134 1.0297741

1.6360710 2.7701181 3.2171856 1.0373068

2.2045523 3.7548184 4.3541603 1.0398967

2.7069789 4.6251017 5.3590390 1.0412708

3.1662626 5.4206548 6.2776365 1.0421421

3.5942343 6.1619708 7.1336110 1.0427520

3.9980024 6.8613628 7.9411790 1.0432070

4.3822578 7.5269558 6.7097215 1.0435616

4.7502999 8.1644647 9.4458370 1.0438471

5.1045605 8.7781022 1.0154389 1 1.044C829

5.4468970 9.3710854 1.0839093 1 1.0442814
-53-

Table 40.

cr = 0„ 005 mhos/meter , 2 =15

Re t. Im t Arg t c

12

34

56

7

8

9 10

f = 8000 kilocycles

9.3960148 - 1 1.5696112 1.8293524 1.0313918

1.6339744 2.7723701 3.2180597 1.0382236

2.2024634 3.7570792 4.3550533 1.0405731

2.7048968 4.6273701 5.3599460 1.0418198

3.1641866 5.42293i)2 6.2785545 1.0426104

3.5921641 6.1642525 7.1345395 1.C431638

3.9959379 6.8636507 7.9421170 1.0435766

4.3801987 7.5292497 8.7106685 1.0436983

4.7482459 8.1667640 9.4467915 1.0441574

5.1025115 8.7804068 1.0155352 1 1.0443714

5.4448529 9.3733951 1.0840063 1 1.0445515

f = 9000 kilocycles

1234

56

7

8910

9.3799155 - 1 1.5714092 1.8300697 1.0326512

1.6323715 2*7741750 3.2188017 1.0389374

2.2008661 3.7588896 4.3558080 1.0410997

2.7033046 4.6291855 5.3607100 1.0422472

3.1625992 5.4247501 6.2793270 1.0429748

3.5905810 6.1660766 7.1353185 1.0434842

3.9943590 6.8654787 7.9429025 1.0438642

4.3786238 7.531.0812 8.7114595 1.0441603

4.7466747 8.1685991 9.4475885 1.0443988

5.1009440 8.7822452 1.0156154 1 1.C445958

5.4432890 9.3752369 1.0840870 1 1.0447616

f = 10000 kilocycles

12

34

56

7

89 10

9.3672734 - 1 1.5728950 1.8306985 1.0336602

1.6311128 2.7756655 3.2194484 1.0395091

2.1996119 3.7603838 4.3564641 1.0415214

2.7020 543 4.630 6831 5.3613735 1.0425894

3.1613525 5.4262506 6.2799955 1.0432666

3.5893378 6.1675799 7.1359925 1.0437408

3.9931190 6.8669845 7.9435810 1.0440944

4.3773868 7.5325895 8.7121420 1.0443701

4.7454408 8.1701098 9.4482750 1.0445921

5.0997130 8.7837582 1.0156844 1 1.0447754

5.4420607 9.3767519 1.0841564 1 1.0449297
-54-

Table 41. \*\ 580

0.1 kc f = 0. 2 kc f = 0. 5 kc 123456789 10

11

121314

1516

17

18

19

20

2122

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

1.0653797 8 3 ,3557810 7 7 .2874493 6 3.3966763 8 1 .0698874 8 2 ,3233049 7 5.0404268 8 1 .5876358 8 3 .4476105 7 6r4450311 8 2 ,0300583 8 4 .4083448 7 7i7091572 8 2.,4282329 6 5 ,2729940 7 8.8764919 8 2 ,7959203 8 6 ,0714391 7 9.9713101 8 3.,1407662 8 6 .8202833 7 1.1008875 9 3.,4675785 8 7 ,5299674 7 1.1999576 9 3 ,7796296 6 8 ,2075970 7 1.2950890 9 4<,0792750 8 8.,8582867 7 1.3868427 9 4<,3682811 8 9 ,4858728 7 1.4756531 9 4.,6480163 8 1.,0093327 8 1.5618651 9 4,,9195667 8 1.,0683008 8 1.6457586 9 5,,1838145 8 1,,1256832 8 1.7275646 9 5<,4414876 8 1.,1816377 8 1.8074769 9 5,,6931957 8 1.,2362970 8 1.8856592 9 5<,9394545 8 1,,2897728 8 1.9622526 9 6,,1807085 8 1.,3421620 8 2.0373788 9 6.,4173412 8 1.,3935476 8 2.1111441 9 6,,6496875 8 1,,4440023 8 2.1836421 9 6<,8780424 8 1.,4935904 8 2.2549560 9 7,,1026665 8 1.,5423683 8 2.3251592 9 7.,3237923 8 1.,5903866 8 2.3943177 9 7,,5416288 8 1.,6376904 8 2.4624915 9 7.,7563625 8 1.,6843206 8 2.5297340 9 7.,9681630 8 1.,7303138 8 2.5960 943 9 8.,1771848 6 1.,7757037 6 2.6616172 9 8.,3835688 8 1.•8205206 8 2.7263426 9 8.,5874418 8 1.,8647923 8 2.7903093 9 8.,7889236 8 1.,9085447 8 2.8535503 9 8..9881205 8 1.,9518010 8 2.9160984 9 9,,1851341 8 1,,9945832 6 2.9779828 9 9,,3800574 8 2<,0369114 6 3.0392305 9 9,,5 729754 8 2. 0788044 8 3.0998668 9 9,,7639684 8 2i,1202790 8 3.1599161 9 9, 9531117 8 2. 1613521 8 3.2193999 9 1. 0140473 9 2. 2020385 8 3.2783393 9 r, 0326121 9 2. 2423524 8 3.3367534 9 i. 0510114 9 2. 2823070 8 3.3946605 9 i. 0692510 9 2. 3219149 8 3.4520779 9 i. 0873364 9 2. 3611860 8 3.5090216 9 i, 1052725 9 2< 4001370 8 3.5655070 9 i. 1230643 9 2. 4387723 8 3.6215484 9 i. 1407162 9 2. 4771041 8 3.6771597 9 i<,1582326 9 2« 5151416 8 3.7323532 9 ii 1756176 9 2i 5528936 8 3.7871419 9 i.,1928749 9 2. 5903686 8 3.8415370 9 i. 2100083 9 2. 6275742 8 3.8955497 9 i,,2270212 9 2. 6645184 8 3.9491903 9 i. 2439170 9 2, 7012081 8 4.0024690 9 i< 2606986 9 2, 7376502 8
-55-

Table 42. = 5 = 80 s

51

5253

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

7172

7374

75

76

77

7879

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100 f = 0.1 kc

4.0553958

4.1079792

4,160228^

4.2121513

4.2637556

4.3150504

4.3660415

4.4167372

4.4671428

4.5172658

4.5671123

4.6166885

4.6659999

4.7150516

4. 7638501

4.8123994

4.8607053

4.9087724

4.9566049

5.0042085

5.0515859

5.0987427

5.1456825

5.1924085

5.2389254

5.2852373

5.3313469

5.3772573

5.4229736

5.4684972

5.5138321

5.5589815

5.6039494

5.6487360

5. 6933467

5.7377826

5.7820469

5.8261437

5.6700737

5.9138395

5.9574439

6.O0U8896

6.0441785

6.0873137

6.1302956

6.1731277

6.2158115

6.2583495 6 .300 7430

6.3429946 f = 0. 2 kc

.2773695

.2939323

.3103897

.3267445

.3429988

.3591556

.3752168

.3911849

.4070618

•4Z28495

.4385502

.4541657

•4696978

.4851482

•5005187

.5158108

.5310262

•5461664

.5612326

.5762268

.5911498

.6060032

.6207884

.6355061

.6501581

•6647453

•6792690

.6937299

.7081296

.7224686

.7367483

.7509695

.7651334

.7792403

.7932918

.80 72882

.8212306

.8351202

.8489573

.8627427

.8764772

.8901618

.9037969

.9173836

.9309221

.9444133

.9578579

.9712565

.9846096

.9979181

:.= 0. 5 kc

.7738516

.8098182

.8455558

.8810707

.9163677

.9514527

•9863301

.0210055

.W554826

.^897663

.1238608

.1577704

.1914990

.2250498

.2584276

.2916349

.3246755

.3575530

.3902698

.4228302

.4552360

.4874907

.5195971

.5515573

.5633744

.6150512

.6465897

•6779920

.7092615

•7403992

.7714079

.8022896

.8330472

•8636808

.8941941

.9245878

.9548643

.9850260

.^150736

.0450091

.0748341

•1045506

•1341598

•1636637

•1930629

•2223597

.2515550

.2806505

•3096473

•3385469
s123456789 10

1112

1314

1516

17

18

1920

21

22

23

2** 25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

-5bTable 43. i*M

o- = 5 £ 2 = 8 ° f = 1 kc f = 2 kc f = 3 kc f = 4 kc 2 ,3042027 3 7 2816696 2 3 .7164772 2 2 ,3082194 2 7 ,3205934 3 2 J065111 3 1 .1737790 3 7 .2686543 2 1 0861068 4 3 .4214697 3 1 .7409226 3 1 ,0779462 3 1 3886803 4 4 .3744183 3 2..2257002 3 1 .3760524 i

1.6610049 4 5 .2321295 3 2..6620440 3 1 .6481620 j 1 9124840 4 6 .0242010 3 3,,0650016 3 1 8976473 3 2.,1483442 4 6,.7670859 3 3.,4429404 3 2 1316258 3 2 ,3718722 4 7,.4711339 3 3 ,8011232 3 2 3533749 3 2 ,5853055 4 8 .1433897 3 4 ,1431332 3 2 .5651127 3 2.,7902543 4 8 .7889251 3 4,,4715504 3 2 ,76843r>9 j 2.,9879272 4 9, 4115441 3 4<,7883096 3 2 .9645422 j 3.,1792594 4 1«,0014193 4 5i 0949104 3 3..1543592 3 3<,3649939 4 1.,0599212 4 5.,3925419 3 3 ,3386230 J 3.,5457343 4 1.,1168500 4 5,,6821706 3 3 ,5179344 3

3.,7219776 4 1 .1723625 4 5.9645937 3 3 ,69278^6 3 3 8941410 4 1 .2265901 4 6<2404800 3 3 ,8635873 3 4.0625773 4 1 ,2796437 4 6..5103942 3 4 ,0306926 J 4<.2275911 4 1 .3316192 4 6 7748241 3 4 ,1944030 ^ 4 3894438 4 1 .3825993 4 7,.0341889 3 4 ,3549777 3 4 5483648 4 1 ,4326559 4 7«2888565 3 4 ,5126439 3

4,,7045556 4 1 ,4818527 4 7,,5391491 3 4 ,6676020 3 4 ,8581952 4 1 ,5302457 4 7 ,7853533 3 4 ,8200292 j

5.,0094422 4 1 .5776853 4 8,,0277235 3 4,,9700827 jJ 5.,1584389 4 1 .6248159 4 8<,2664873 3 5., 1179034 3 5,,3053138 4 1,.6710785 4 8,,5018521 3 5,,2636195 j 5.,4501825 4 1,7167090 4 8.,7340013 3 5,,4073453 3 5.,5931505 4 1..7617408 4 8,,9631054 3 5,,5491856 3

5, 7343140 4 1.,8062044 4 9<,1893180 3 5,,6892360 j 5,,8737609 4 1,,8501270 4 9,,4127788 3 5,,8275825 j 6, 0115712 4 1,,8935346 4 9«,6336192 3 5<,9643065 3 6. 1478198 4 1.,9364498 4 9.,8519550 3 o. 0994802 ^ 6, 2825741 4 1. 9788949 4 1« 0067698 4 6< 2331725 3 6. 4158994 4 2.,0208894 4 1.,0281549 4 6, 3654464 3 6. 5478529 4 2. 0624521 4 1. 0493003 4 6.,4963596 j 6.,6784893 4 2,,1035998 4 li 0702347 4 fa.,6259666 3 6. 8078614 4 2,,1443492 4 1. 0909664 4 6« 7543180 3

6. 9360141 4 2<,1847148 4 1. 1115029 4 6.,8814612 3 7,,0629946 4 2,,2247111 4 1. 1318513 4 7,,0074407 3

7,,1868435 4 2.,2643508 4 li 1520185 ^ 7,,1322976 i

7,,3136007 4 2,,3036467 4 1.,1720106 4 7<,2560712 3 7,,4373020 4 2,,3426102 4 1,,1918337 4 7,,3767977 j

7,,5599836 4 2,,3812522 4 1.,2114932 4 7,, 5005123 3

7.,6816769 4 2 ,4195832 4 1.,2309946 4 7 ,6212464 3 7.,8024143 4 2.,4576129 4 1. 2503426 4 7. 7410321 3

7,,9222242 4 2, 4953507 4 1. 2695421 4 7. 6598981 3 8,,0411353 4 2,,5328051 4 1. 2685975 4 7i 9778719 3 8,,1591732 4 2<,5699848 4 li 3075130 4 8. 0949600 3 8.,2763635 4 2«,6068973 4 1. 3262927 4 8. 2112466 3 8.,3927300 4 2. 6435504 4 1. 3449403 4 8, 3266963 3 8,,5082948 4 2 ( ,6799510 4 li ^634595 4 8, 4413505 3 8.,6230801 4 2< 7161060 4 1. 3818537 4 8, 5552310 J
-57-

Table 44.

'6 2 T 580 123456789 10

1112

1314

15

1617

1819

20

2122

23

24

25

26

27

28

29

30

3132

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 f = 5 kc f = 6 kc f = 7 kc f = 8 kc 1 •5963936 2 1 .1818412 2 9 ,1702333 1 7 ,3644293 1 5 •0125216 2 3 ,6999142 2 2 ,8623040 2 2 ,2917274 2 7 •4323981 2 5 ,4853773 2 4 ,2430074 2 3 .3967611 2 9 •5011918 2 7 .0119280 2 5 ,4235914 2 4 .3417088 2 1 .1363412 3 6 ,3660911 2 6.,4863556 2 5., 1923779 d. 1 .3083202 3 9 .6551720 2 7,,4678656 2 5,,9780208 2 1 .4696245 3 1 ,0845492 3 8 ,3884693 2 6.,7149183 2 1 .6224987 3 1 .1973612 3 9 ,2609720 2 7 .4133171 I 1 •7684719 3 1«.3050808 3 1«,0094094 3 8 ,0801960 <L 1 •9086442 3 1 ,4085203 3 1 ,0694114 3 8 .7205603 2 2 .0438414 3 1 .5082886 3 1 ,1665744 3 9 .3382402 tL 2 ,1747034 3 1 ,6048579 3 1.,2412631 3 9 .9360957 2 2 ,3017374 3 1 ,6986025 3 1 .3137674 3 1..0516467 3 2 ,4253561 3 1 ,789826a 3 1.,3843225 3 li.1081^^7 i 2 ,5458998 3 1 ,8787622 3 1,,4531227 3 1 .1631959 3 2 ,6636535 3 1 ,9656786 3 1 ,5203306 3 1 .21699^7 3 2 ,7788564 3 2.,0506941 3 1.,5860840 3 1.,2696270 3 2 ,8917226 3 2.,1339827 3 1<,6505015 3 1.,3211910 3 3.,0024251 3 2.,2156756 3 1<,7136851 3 1.,3717676 3 3 ,1111226 3 2.,2958694 3 1.,7757245 3 1.,4214282 3 3 ,2179532 3 2.,3747252 3 1.,8366983 3 1.,4702359 3 3.,3230385 3 2,,4522734 3 1.,8966762 3 i<, 5182463 3 3.,4264876 3 2.,5286141 3 1.,9557202 3 1. 5655092 J 3.,5283979 3 2.,6038189 3 2. 0138859 3 1, 6120691 3 3.,6288567 3 2. 6779530 3 2. 0712233 3 1, 6579659 i 3.,7279436 3 2. 7510747 3 2. 1277776 3 i . 7032360 3

3.,8257305 3 2.,8232370 3 2, 1835901 3 1.,7479122 3 3 ,9222837 3 2.,8944888 3 2.,2386983 3 1.,7920247 3 4,,0176621 3 2.,9646738 3 2.,2931360 3 i<,8356005 3 4 ,1119220 3 3.,0344333 3 2,,3469354 3 1..8786654 3 4,,2051131 3 3,,1032040 3 2.,4001247 3 1.,9212418 ^ 4,,2972828 3 3<,1712213 3 2.,4527312 3 1.,9633516 3

4.,3884 748 3 3.,2385165 3 2.,5047794 3 2<,0050150 3 4,,4787285 3 3,,3051197 3 2.,5562924 3 2«,0462496 3 4i 5680816 3 3, 3710584 3 2,,6072912 3 2, 0870727 3 4«,6565692 3 3, 4363585 3 2. 6577963 3 2<,1275006 3 4« 7442241 3 3< 5010436 3 2, 7078258 3 2. 1675477 3 4« 8310 764 3 3, 5651370 3 2. 7573975 3 2. 2072284 3 4«,9171551 3 3, 6286590 3 2. 8065274 3 2, 2465555 j 5. 0024867 3 3, 6916300 3 2, 8552311 3 2, 2855414 3 5, 0870965 3 3< 7540685 3 2, 9035227 3 2. 3241975 3 5. 1710086 3 3« 8159917 3 2a 9514162 3 2< 3625347 3 5, 2542451 3 3, 8774166 3 2. 9989240 3 2<,4005635 3 5, 3368274 3 3, 9383587 3 3« 0460585 3 2. 4382933 3 5, 4187757 3 3, 9988330 3 3. W928311 3 2< 4757336 3 5. 5001091 3 4. 05'86532 3 3, 1392526 3 2. 5126926 3 5. 5808452 3 4< 1184333 3 3« 1853335 3 2. 5497790 3

5« 6610018 3 4, 1775850 3 3, 2310833 3 2. 5864005 3 5, 7405946 3 4, 2363212 3 3.,2765116 3 2. 6227647 3

5.,8196394 3 4i 2946527 3 3.,3216271 3 2« 6588783 3 5.,8981508 3 4, 3525906 3 3. 3664379 3 2< 6947482 3
-58-

Table 45.

W'

580

9 kc

1234

56

7

8

9 10

1112

13

1415

1617

181920

21

1123

24

25

26

27

28

29

3031

32

33

34

35

3*

37

38

39

40

41

4243

44

45

46

47

48

49

50

6.,0716974 1

1 ,8836828 2

2.,7916083 2 3 ,5680667 2 4 ,2670778 2 4 ,9126647 2

5 .5182014 2 6 0921052 2 6 ,6401106 2 7 ,1663455 2

7 ,6739075 2

8 ,1651970 2

8.,6421182 2

9,,1062193 2

9.,5587783 2

1. 0000864 3

1.,0433382 3

i.,0857113 3

1.,1272729 3

1 ,1680818 3

1.,2081898 3

1.,2476426 3

1 ,2664815 3

1.,3247424 3

1 <, J624586 3

1.,3996596 3

1.,4363727 3

1 4726225 3

1,,5084313 3

1 ,5438202 3 1.,5788078 3

1.,6134120 3

1.,6476491 3

1.,6815341 3

1. 7150609 3

1. 7483029 3

1. 7812120 3

1.,8138201 3 1. 8461374 3 1. 8781744 3

1.,9099405 3

1. 9414446 3

1. 9726950 3 2. 0036998 3

2 i ,0344666 3

2.,0650027 3

2.,0953145 3 2.,1254066 3

2 ,1552912 3

2.,1649679 3

2,,2144444 3
-59-

Table 46. [6V 580 f = 10 kc

4.9489689 4 1.5767169 5 2.3396404 5 2.9915821 5 3.576327^ 5 4.1201487 5 4.628313^ 5 5.1099040 5 5.5697434 5 6.0113019 5 6.4371832 5 f = 20 kc

1.5598312 4 4.9666599 4 7.3696120 4 9.4230546 4 1.1271158 5 1.2977772 5 1.4578377 5 1.6095283 5 1.7543679 3 1.8934496 5 2.0275931 5 f = 30 kc

7.9405781 3 2.5269907 4 3.7494741 4 4.7941665 4 5.7343990 4 6.6U26508 4 7.4169713 4 8.1887110 4 8.9255961 4 9.6331874 4 1.1-315655 5 f = 50 kc

3.3930854 3 1.0787016 4 1.6004536 4 2.0463401 4 2.4476470 4 2.6182341 4 3.165803b 4 3.4951995 4 3.8097169 4 4.1117359 4 4.4030302 4 123456789 10 f = 60 kc

2.5053158 3 7.9607535 3 1.1810929 4 1.5101323 4 1.6062763 4 2.0797513 4 2.3362411 4 2.5793198 4 2.8114210 4 3.0342956 4 3.2492579 4 f = 70 kc

1.9387239 3 6.1573982 3 9.1351479 3 1.1679993 4 1.3970444 4 1.6085570 4 1.8U6933U 4 1.9949370 . 4 2.1744505 4 2.3468283 4 2.5130863 4 f = 80 kc

1.5527211 3 4.9290657 3 7.3125974 3 9.3496475 3 1.1183068 4 1.2876156 4 1.4464093 4 1.5969006 4 1.7405958 4 1.8785791 4 2.W116639 4 f = 90 kc

1.2766345 3 4.0507055 J 6.0093376 3 7.6832801 3 9.1898984 3 1.0581202 4 1.1886100 4 1.3122774 4 1.4303601 4 1.5437491 4 1.6531127 <+ 123456789 10 f = 100 kc

1.0715919 3 3.3985064 3 5.^416551 3 6.4459905 3 7.7099593 3 8.877186^ 3 9.9719297 3 1.1009436 4 1.200009^ 4 1.2951J68 4 1.3868873 4 f = 200 kc

3.3924589 2 1.0709207 3 1.5883273 3 2.0305976 3 2.4286836 3 2.7963112 3 3.1411143 3 3.4678937 3 3.7799189 3 4.0795429 3 4.3685316 3 f = 300 kc

1.7346397 2 5.4505963 2 8.0822342 2 1.0332019 3 1.2357143 3 1.4227369 3 1.5981505 3 1.7643966 3 1.9231377 3 2.U755707 3 2.2225933 3 f = 400 kc

1.0793813 2 3.3758053 2 5.0046464 ^ 6.3973258 2 7.6509934 2 8.3087996 2 9.8947530 2 1.0923962 3 1.1906715 3 1.2850419 3 1.3760631 3 123456739 10 f = 500 kc

7.4796699 1 2.3261990 2 3.4508590 2 4.4108724 2 5.2751019 2 6.0732674 2 6.8219098 2 7.5314393 2 8.208947U 2 8.8595376 2 9.4870409 2 f = 600 kc

d. 5464636 1 1.7187276 2 2.5469885 2 J.2t)33464 2 3.8930586 2 4.4820357 2 5.0344769 2 5.5580605 2 6.0580171 2 6.5381127 2 7.0011733 2 f = 700 kc4.3140580 1 1.3297872 2 1.9702261 2 2.5180235 2 3.^112107 2 3.4667181 2 3.8939747 2 4.2989168 2 4.6855877 ^ 5.U568999 2 5.4150383 2 f = 800 kc

3.4718129 1 1.0646^91 <L 1.5773522 ^ 2.0157944 2 2.4105464 2 2.7751471 2 3.1171399 2 3.4412736 2 3.7507847 2 4.048U027 ^ 4.3346765 /
-60-

Table 47. w

= 5 = 80

C

12

34

56

7

89 10

f = 900 kc

2.8685107 1 8.7533634 1 1.2964006 2 1.65665U 2 1.9810173 2 2.2806156 2 2.5616399 2 2.8279916 2 3.0823285 2 3.3265649 2 3.5621376 2

f = 1000 kc

2.4197883 1 7.3461642 1 i.0877793 2 1.3899752 2 1.6620822 2 1.9134171 2 2.1491735 2 2.3726224 2 2.5859931 2 2.7908913 2 2.9885217 2

f = 1100 kc

2.0758682 1 6.2693139 1 9.2814616 1 1.1859253 2 1.4180485 2 1.6324567 2 1.8335777 2 2.<-242011 2 2.2062279 2 2.3810273 2 2.5496274 2

f = 1200 kc

1.8057328 1 5.4248200 1 8.0296771 1 1.0259209 2 1.2266935 2 1.4121478 2 1.5861114 2 1.7509962 2 1.9084462 2 2.0596453 2 2.2054824 2

12

34

56

7

89 10

f = 1300 kc

1.5891828 1 4.7489137 1 7.0278656 1 8.9787169 1 1.0735567 2 1.2358410 2 1.3880724 2 1.5323602 2 1.6701426 2 1.8024558 2 1.9300768 2

f = 1400 kc

1.4125708 1 4.1985416 1 6.2121806 1 7.9361523 1 9.4887563 1 1.0922965 2 1.2268345 2 1.3543534 2 1.4761236 2 1.5930606 2 1.7056512 2

f = 1500 kc

1.2663899

3.7437339

5.5381780

7.0747005

8.4585518

9.7369043

1.0936097 2 1.2072734 2 1.3158138 2 1.4200463 2 1.5205833 2

f = 1600 kc

1.1438392

3.3630659

4.9740879

6.3537463

7.5963772

8.7443010

9.8211558

1.0841845

1.1816532 2 1.2752539 2 1.3655364 2

12

34

56

7

8

9 10

12

34

56

7

8

9 10

f = 1700 kc f = 1800 kc

1.0399437 1 9.5099074

3.0406755 1 2.7654830 1 4.4966870 1 4.0886575 1 5.7436030 1 5.2221320 1 6.8667276 1 6.2431251 1 7.9042768 1 7.1863459 1 8.8776022 1 8.0711926 1 9.6001702 1 8.9099031 1 1.0681162 2 9.7108213 1 1.1527197 2 1.0479963 2 1.2343241 2 1.1221841 2

f = 2500 kc f = 3000 kc

5.733067

1.603294

2.3671319

3.0221565

3.6123784

4.1577280

4.6693736

5.1543694

5.6175299

6.0623262

6.4913658

4.358395

1.185190 1 1.748049 1 2.231122 1 2.6665157 1 3.0688546 1 3.4463530 1 3.8042038 1 4.1459532 1 4.4741592 1 4.7907438 1

f = 1900 kc

8.7416016

2.5280221 1 3.7368533 1 4.7725284 1 5.7054715 1 6.5673682 1 7.3759350 1 8.1423486 1 8.8742324 1 9.5770803 1 1.0255017 2

f = 3500 kc

3.47183

9.18273

1.352937

1.726316

2.0629332

2.3740323

2.6659440

2.9426743

3.2069610

3.4607793

3.7056137

2000 kc

8.0727725

2.3216606

3.4311445

4.3818435

5.2382803

6.0295147

6.7718010

7.4753950

8.1472933

8.7925381

9.4149156

f = 4000 kc

2.86104

7.36379

1.083752 1 1.382429 1 1.6517746 1 1.9007339 1 2.1343549 1 2.3558355 1 2.5673632 1 2.7705166 1 2.9664824 1
-61- Table 48.

12

34

56

7

89 10

1234

5

6

7

8

9 10

<r = 5

£ 2

= 80

f = 4500 kc f = 5000 kc f = 6000 kc f = 7000 kc

2.41896 2.0865 1.6236 1.3196

6.C6256 5.09600 3.7760 2.9334

8.912217 7.48237 5.53000 4.28388

1.13649 1 9.538546 7.044976 5.45358

1.3577375 1 1.139392 1 6.412950 6.510597

1.5622663 1 1.3109339 1 9.678109 7.488498

1.7542080 1 1.4719307 i 1.086569 1 8.406597

1.9361836 1 1.6245753 1 1.1991771 1 9.277245

2.1099868 1 1.7703692 1 1.3067384 1 1.0108930 1 2.2769128 1 1.910J972 i 1.4100507 1 1.0907801 i .2.4379354 1 2.0454754 1 1.5097143 1 1.1678486 1

f = 8000 kc f = 9000 kc f = 10000 kc

1.106 9.479 1 8.265 - 1 2.3594 1.949 1.645

3.4349 2.8278 2.3770

4.36944 3.59409 3.0183

5.21467 4.28788 3.59967

5.996930 4.93025 4.13816

6.731492 5.533573 4.64405

7.428169 6.105856 5.123971

8.093721 6.652616 5.582530

8.733046 7.177860 6.^23071

9.3498378 7.684612 6*448123
-62-

Table 49.

cr = 5 mhos/meter 80

Re t.

s Im Arg t c

123

6

7

89 10

11121314

15

1617

18

192C

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

43

49

50

f = 0. 1 kilocycles

4i 0436329 - 1 7, 0026851 - x 6 O663043 - x 1. 047133d

li 2890644 <:>. 2 3 2692 3 2

.

=76100= X I 0471*1;.

1, 9126667 3. 31 Ji637 3i 0,i37l64 1 0471947

2. 4459 18b 4, 2364383 4. 6vie<i26 1 < 0471936

2,.9256=77 5.,06/3 754 3 l 6313030 1

1

0471964

3 i J686644 3 . B j'fObJH 6<, 7 3 731 d0 ll.0471967

3« 7841511 6..5543307 7..3662925 1, 0471966

4,,1779096 1 ,2363421 8..3358110 X..047197';

4..5538639 7,. a o 7 = 4 9 9. io 7 76 00 ll,0471971

4, 9149106 o<. 51^0666 9<,0296140 ll.04 71972

5..2631190 y.. 1159614 1..^526231 i 1 < ,0471972

3 i 60C157J y i ,6997493 i 12oojC8 1 i i .0471972

5i,927334^ i<.0266437 i 1..1654663 X 1

1

.0471973

6i 2457129 1 ,0817863 i 1 < . 2491420 i li.0471973

6« 5561697 1 ,1333012 1 1.,3112333 X li,047197;

6. 859439i 1., 183^6 91 1 X I.3718873 1 i

,

.04719 74

7,. 1561434 i .2394796 1 i ,431226^ x 1..04719 74

7, 446817a 1 ,2696261 i 1<.4693631 1 li.0^-71^74

7, 7319242 1 ,3392080 1 i<.3463844 i X i .0471974

b..0118661 1 .3876954 1 1,,60^37^6 1 1

1

,04719 74

8. 2869990 1..4333498 1 1,. 3 7 3 9 v 3 x 1

.

04719 7"

8.,=576370 1 .48 222 5 7 1 1., 7113270 X i 1 047197"

8.,3240604 x .3263716 1 1..7646117 x ll 4 7 1 9 7 4

V, J865198 l ,5736:309 1 1 <. o 1 7 3 J J 3 1 ll 04 719 7

3

9, 3452413 1 ,6lo042b i 1 1 , 669i/479 i ll,0471973

9,,600429^: J. ,6626426 1 1.. 9200854 x

1

, ,0471973

9..8522686 1 , 70o4625 i 1.. '7704333' X ll, 4 7 1 9 7 j 1.,010C93o ' 1 X ,749=319 1. c < ,02U 1836 » X ,0471973

1 .0346566 1 1 .79^0773 1 2 >oo>3i£b 1 1 ,0471973

1.,0589321 1 1 ,3J4id37 1 2 , 1176636 i i ,0471973

1 <,0829323 1 1 ,8756933 1 2 , 1656642 1 1 ,047x973

1,,1066695 1 1 ,9168073 i 2 ,2133366 1 1 .04 71975

1 .1301548 1 1 ,9574d51 1 2 .2603093 i X .047197?

1 ,1533985 1 1 .9977444 1 2 .3067967 1 1 ,04 71973

1.,1764102 1 2 .03 76U1

9

1 2 ,3528201 X 1 .0471973

1 .1991991 1 2 .0 770734 1 2 ,3963979 X 1 .047197=

1 .2217734 1X 2 .1161732 1 2.,443=46= i 1 .0471973

1.,2441411 1 t. . 13^-9152 i i ,466^619 1 x .0471973

1 ,2663094 1 2<.19 3 3119 1 2., =326x66 1 1 ,0^7197=

1 ,2882854 1 2 .2313754 1 <L<.376=705 1 I .0471973

1,,3100755 1 2 ,2691170 i 2<,620 150 7 1 I ,0471975

1 .331663- 1 c ,3063472 1 2 , 6033714 1 i ,047197=

1 .3531223 1 L. ,3436761 1 2 ,7062442 1

1 .0471973

1 ,3743902 1 2 .3805132 1 2,, ("467600 1 1 ( .047197=

1 ,3954948 1 y ,41 70673 1 2,. 7 9 J 9 6 9 3 X 1 . C 4 7 i -J 1 = 1 ,4164409 1 <l ,4533474 1 ^ > 63266 lo X 1 . G47l97o

1 .4372334 i <L ,4893610 i 2 ,6744066 i i .0471975

1 .4578763 1 C .5231139 1 2 ,9137326 1 1 < .047x97=

1 .4783745 X 2 . 560 ol93 X 2 , ->307466 1 I .0471973

1 .4967313 1 2 .5956782 1 2 ,9974624 x i > C 4 7 1 J 7

3

1 .5189507 1 <L . o'io 6 9 9 6 1 3 .0379013 i I .04 7x9 76
-63-

Table 50.

cr=5 mhos/meter c 2 =80

Re t Im t Arg t

51

5253

54

5556

57

58

59

60

6162

63

64

65

66

67

68

69

70

7172

73

7475

76

77

7879

80

81

82

83

84

85

86

37

83

39

90

91

92

93

94

95

96

97

98

99

100

f = 0. 1 kilocyc Les

1.,5390366 1 2,,6656894 1 3. 0780731 1 1. 0471976

1 .5589922 1 2<,7002535 1 3.,1179843 1 1,,0471976

1 .5788206 1 2 ,7345977 1 3..1576415 1 1,,0471976

1.5985259 1 2 .7687278 1 3,.1970516 1 1,,0471975

1 .6181099 1 2,,8026483 1 3,.2362196 1 1,,0471975

1..6375764 1 2 ,6363653 1 3,,2751527 1 1,,0471976

1.,6569277 1 2<,8698828 1 3. 3138553 1 1,,0471976

1.,6761669 1 2,,9032060 1 3<,3523337 1 1,,0471976

1.,6952960 1 2, 9363386 1 3« 3905919 1 1. 0471976

1. 7143179 1 2. 9692855 1 3i 4286356 1 1. 0471976

1,,7332348 1 3« 0020505 1 3. 4664694 i i. 0471976

1. 7520491 1 a

.

0346379 1 3, 504098i 1 1. 0471976

1.,7707630 l 3. 0670513 1 3i 5415258 1 1. 0471976

1. 7893733 1 3. 0992939 1 3« 5787564 1 1

1

0471976

1« 8078975 1 3. 1313701 1 3. 6157948 1 1. 0471976

1. 8263221 1 3. 1632825 1 3« 6526440 1 1. 0471976

1. 8446543 1 3. 1950348 1 3. 6393085 1 It 0471976

1. 6628960 1 5a 2266302 1 3« 7257918 1 1, 0471975

1. 8810486 1 3« 2580715 1 3, 7620970 1 1.,0471976

1« 6991143 1 3. 2893622 1 3i 7982284 1 1, 0471976

1.,9170942 1 3. 3205044 1 3« 8341882 1 1. 0471976

1<,9349903 1 3. 3515013 1 3<,8699805 1 1.,0471976

1. 952 8042 1 3.,3823558 1 3. 9056082 1 1,,0471976

1,,9705368 1 3. 4130697 1 3. 9410735 1 1.,0471976

1.,9881902 1 3,,4436462 1 3«,9763802 1 1.,0471976

2.,0057657 1 3. 4740878 1 4,,0115312 1 1,,0471976

2.,0232644 1 3<,5043965 1 4.,0465287 1 1<,0471976

2, 0406676 1 3« 5345744 1 4< 0813750 1 1.,0471976

2, 0580371 1 3. 5646245 1 4.,1160740 i 1< 0471976

2, 0753134 1 3. 5945481 1 4« 1506267 1 1.,0471976

2. 0925182 1 3<,6243476 1 4<,1850362 1 1.,0471976

2. 1096526 1 3. 6540252 1 4<,2193049 1 1,,0471976

2 ,1267180 1 3 ,6835834 1 4,,2534359 1 1,,0471976

2,.1437147 1 3 .7130225 1 4 ,2874292 1 1 ,0471976

2 ,1606446 1 J .7423459 1 4 ,3212890 1 1 ,0471976

2..1775082 1 3 ,7715546 1 4 ,3550162 1 1 ,0471976

2 .1943067 1 3..8006504 1 4 , J8b6131 1 1 ,0471976

2,.2110415 1 3.,8296360 1 4.,4220829 1 1 ,0471976

2 ,2277131 1 3 ,8585120 1 4,.4554260 i 1 ,0^71976

2..2443223 1 3,,3872801 1 4 .4886446 1 1 ,0471976

2 ,2608704 1 3,,9159422 1 4 .5217406 1 1,.0^71976

2 ,2773582 1 3«,9444998 1 4 .5547162 1 1 ,0471976

2 ,2937865 1 3 ,9729545 1 4 ,5875728 1 1 .0471976

2 ,3101564 1 4 ,0013080 1 4 ,6203127 1 1 ,0471976

2 ,3264682 1 4<,0295609 1 4 ,6529362 1 1 ,0471976

2 ,3427231 1 4 .0577152 1 4 ,6854461 1 1 ,0471976

2 ,3589218 1 4 ,0857721 1 4 ,7178434 1 1 ,0471976

2 ,3750651 1 4 .1137332 1 4 ,7501300 1 1 ,0471976

2 ,3911536 1 4 ,1415992 1 4 ,7823070 1 1 ,0471976

2 ,4071882 1 <* ,1693720 1 4 .8143762 1 1 .0471976
-64-

Table 51.

cr = 5 mhos/meter 80

Re t Im Arg t

12

34

56

7

89 10

1112

1314

15

1617

18

1920

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

f = 0. 2 kil ocyc les

4. 0440098 - 1 7, 0025762 - 1 8. 0864140 - 1 1,,0470829

1"<,2890772 2,,2326889 2,,5781039 1.,0471363

1«,9128773 3. 3131613 3,,6257206 1,,0471924

2. 4459255 4.,2364365 4,,8918244 1

1

,0471944

2 «,9256633 5« 0673719 5.,8513045 1,,0471934

3.,3686693 3.>834b64i 6.,7373195 i<,0471939

J.,7841554 6,,5543295 7,,3682935 1,,0471963

4. 177913c 7.,2363410 8,,3558120 1,.0471965

4< 5538875 7,,8875480 9,,1077605 1.,0471967

4, 9149141 8,,512865 7 9 ,6298150 1 ,0471968

5«,2631221 y<,1159806 1,,0526232 1 1,,0471969

5« 6001602 y, 6997483 1., 1200309 1 1,,0471970

3« 9273360 l. 0266436 1 1. 1854663 i X 1 0471971

6. 2457155 i < 0817884 1 1.,2491420 \ 1. 0471971

6i 5561722 li 1355611 1 1.,3112334 1 1 <,0471971

6i 8594415 l,,1880691 1 1«,3718874 1 1,,0471972

7<,156145? l,,2394798 1 1,,4312283 1 1<,0471972

7i 4-468200 i,,2898261 1 1<,4693632 1 1

,

,047197j

7. 7319263 i<,339^:080 1 1,,5463845 1 1,,0471973

8, 0118682 i<,3876954 1 1,,6023729 1 1,.0471973

3< 2870010 l,,4353498 1 1 < ,6573995 \ i. <,0471973

8. 5576389 l.,4822257 1 1,,7115271 1 1,,0471973

6,,8240622 i<,528^716 1 1,,7648117 1 X i,0471974

V, 0865216 i < ,5738309 1 i

,

,6173037 1 1,,0471974

9,,34524jo i<,61664^:6 1 1,,6690480 i 1,,0471974

9, 6004309 l,,6626426 1 1 < ,9200835 1 1

1

,0471974

9.,8522703 l,,7064625 i 1,,9704534 1 1,,0471974

1.,0100932 1 l,,74y5319 1 2,,0201857 1 1,,0471974-

1.,0346568 1 l ,7920773 1 2,,0693129 1 1,,0471974

1,,0589323 1 l ,8341237 1 2 .1176639 1 1 ,0471974

i . ,0829324 1 l,,8756933 1 2 . 1638643 1 1 .0471974

1.,1066696 I I,,9166073 1 2 .2133366 1 1 ,0471974

1.,1301549 1 li,9574850 1 2,,2603092 1 1,,0471974

1.,1533986 1 l,,9977443 1 2.,3067966 1 1,,0471974

1,,176410:5 1 2, 0376018 1 2.,3528^01 1 1<,0471975

1<,1991992 1 2,,0770733 i 2,,3963979 1 i , ,0471973

1 .2217735 1 2,,1161731 1 2,,4435464 1 1,,0471973

1<.2441412 1 2,,1549151 1 2.,4 862818 1 1 ,0471973

1 .2663095 1 2 .1933118 1 2<,3326185 1 1 ,0471975

1 .2882855 1 2,,2313753 1 2,,5765705 1 1 .0471975

1 ,3100756 1 2,,2691169 1 2 ,6201507 1 1 .0471975

1 .3316860 1 2,,3063471 1 2 ,6633714 1 1 .0471973

1 .3531224 1 l,,3436760 1 2 ,7062442 1 1 .0471975

1 .3743903 1 2 .3803131 1 2 ,7467800 1 1 .047197=

1.,3954949 1 2 .4170674 1 2 .7909892 1 1,.0471975

1 ,4164411 1 2.,4533473 1 2 ,3328817 I 1 ,0471975

1 .4372336 1 2 .4393609 1 2 ,6744666 1 1 ,0471975

1 ,4578767 1 2,.5251158 1 2 ,9157528 1 1 ,0471975

1 ,4783747 1 2,,5606194 1 2 .9567486 i 1<,0471975

1 ,4987315 1 2,,5956784 1 2,,9974624 1 1,,0471975

1 ,5189508 1 2 ,6306995 1 3,,0379012 1 1,,0471975
-65-

Table 52.

tr = 5 mhos/meter e 2= 80

Re t Im t Ar g

T c

f = 0. 2 kilocycles

51

52

53

54

55

56

57

58

59

60

61

62

63

64

65

66

67

68

69

70

7172

73

74

75

76

77

78

79

80

81

82

83

84

85

86

87

88

89

90

91

92

93

94

95

96

97

98

99

100

1..5390367 1 2.,6656893 1 3i J780730 1 1, 0471975

1,,5589923 1 2.,7002534 1 3. 1179842 1 1« 0471975

1.•5788209 1 2,,7345976 1 3< 1576415 i 1, 0471975

1,,5985260 1 2.,7687277 1 3. 1970516 1 1. 0471975

1,,6181100 1 2,,8026482 1

'i

( 2-362196 i 1. 0471975

1<,6375765 1 2,,8363652 1 3< 2751525 1 1. 0471975

1.,6569278 1 2<,8698627 1 3. :>138t>52 1 1, C471975

1 •6761670 1 2, 9032059 1 3, 3523335 1 1, 0471975

1.,6952961 1 2. 9363385 1 3« 3905919 1 1, 0471975

1,,7143180 1 2, 9692854 1 3. 4286356 1 li 0471975

1.,7332349 1 3. 0020504 1 3. 4664694 1 1< 0471975

1,,7520492 1 3.,0346378 1 3.,5040981 1 1, 0471975

1«,7707631 1 3<,0670512 J. 3, 5415258 1 1. 0471975

1,,7893764 1 3<,0992938 1 3, =787364 1 1. 047197=

1.,8078976 1 3,,1313700 i 3,,6157948 1 1, 047197?

1 ,8263222 1 3,,1632824 1 3< 6526441 1 1, 0471975

1.,8446544 1 3,,1950347 1 3.,6893085 1 li,0471975

1.,8628961 1 3< 2266301 1 3<,7257918 1 1 <,0471975

1.,8810487 1 3.,2580714 1 3« 7620969 1 1. 0471975

1< 8991144 1 3<,2893621 1 3. 7982284 i 1« 0471975

1. 9170943 1 3. 3205043 1 3< 8341883 1 1. 0471975

1,,9349904 1 3, 3515012 1 3. 8699804 1 1. 0471975

1,,9528043 1 3« 3823557 1 3« 9056082 1 1. 0471975

1,,9705369 1 3< 4130696 1 3« 9410735 1 1. 0471973

1.,9881903 1 3, 4436461 1 3i 97638C2 i 1.,0471975

2< 0057658 1 3.i 4740 877 1 4i 0115310 1 1. 047i975

2. 0232645 1 3i 5043965 1 4« U465287 1 i« 0471975

2. 0406877 1 3. 5345744 1 4. 0813750 1 n 0471975

2. 0580372 1 3i 5646245 1 4t 1160740 1 1. 0471975

2. 0753135 1 3. 5945481 1 4« 1506267 1 1

1

0471976

2. 0925183 1 3.,6243476 i 4< i850363 1 1« 0471975

2. 1096527 1 3<,6540252 1 4. 2193CD1 1 1, 0471975

2. 1267181 1 3,,6835834 1 4. 2534359 1 1, 0471975

2.,1437148 1 3.,7130225 1 4.,2674292 1 1<,0471975

2.,1606447 1 3 ,7423459 1 4,,3212891 1 1

1

,0471971s

2 ,1775083 1 3.,7715546 1 4,,3550162 1 1 ,0471975

2,,1943068 1 3,,8006504 1 4,,J886131 1 1 ,0471975

2 ,2110416 1 3,,8296360 1 4 ,4220829 1 1 ,0471975

2 ,2277132 1 3,,8585120 1 4 ,4554260 1 1- ,047197?

2,,2443224 1 3.,8872801 1 4<,4886446 1 1 ,0471976

2 ,2608705 1 3<,9159422 1 4,,5217406 1 1 ,0471975

2 ,2773583 1 3,,9^44998 1 4 ,5547163 1 1 ,0471975

2 ,2937866 1 3.,9729545 1 4 ,5875728 1 1 ,0471975

2 ,3101565 1 4 ,0013080 1 4 ,6203127 1 1 ,0471975

2 ,3264683 1 4 ,0295609 1 4 ,6529363 1 1 ,0471975

2 ,3427232 1 4 ,0577152 1 4 ,6654461 i 1 ,0471975

2 ,3589219 1 4 ,0857721 1 4 ,7178435 1 1 ,0471975

2 ,3750652 1 4 ,1137332 1 4 ,7501301 1 1 ,0471975

2 ,3911537 1 4,, 1415992 1 4 ,7823070 1 1 ,0471975

2 ,4071883 1 4<,1693720 1 4 <v8143763 1 1 ,0471975
-66-

Table 53.

o" = 5 mhos/meter

€ 2 =8°

Re t Im t Arg t f = 0. 5 kilocycles 12356789 10

11

12

1314

1516

17

18

1920

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

4. 0450722 - 1X 7,,0022917 1 8.,0866990 - 1 1..0469516

li,2891105 2,,2326600 2.,5781129 1 .0471734

1.,9128998 3.,3131553 3,,8257266 1..0471866

2.,4459431 4. 2364318 4,,tf918291 1<,0471909

2. 9256780 5<,0673679 5,,8513085 1.,0471929

3.,3686821 D<,8346807 6,,7373230 ii,0471940

3<,7841668 6.,5543265 7.,3682965 1 .0471946

4.,1779241 7.,2363382 8 ,3558150 1.,0471953

4i 5538970 7 ,8875455 9,,1077635 1 ,0471956

4.,9149229 b,,5128633 9 ,8298175 1 ,0471959

5, 2631303 9 ,1139784 1,,0526234 1 1 ,0471961

5, 600167* 9 ,6997465 1 ,1200311 1 1,,0471963

5.,9273441 1,,0266434 1 1,, 1854665 1 1 ,0471964

6.,2457224 1.,0817883 1 1 ,2491423 1 1 ,0471966

6.,5561788 1,,1355610 1 1.,3112336 1 1 ,0471966

6i 8594477 1 , 1880889 1 1.,3718876 1 1 ,0471968

7.,1561517 1 .2394796 1 1 ,4312284 1 1 ,0471968

7.,4468258 1 ,2898259 1 1 ,4893633 1 1 ,0471969

7«,7319319 1 ,3392078 1 1 ,3463846 1 1 ,0471969 8 .0118735 1 ,3876952 1 1 ,6023730 1 1 0471970

8(,2870062 1 ,4353496 1 1 ,6573996 1 1 ,0471970

8.,5576439 1,,4822255 1 1 ,7115272 1 1 ,0471970 8 ,8240671 1 ,52-83715 1 1 ,7648119 1 1,,0471971

9. 0863264 1<,5738308 1 1,,8173038 1 1,,0471971

9« 3452476 1<,6186427 1 1,,8690481 1 1,,0471971

9, 6004354 1,,6628425 1 1.,9200836 1 1<,0471971

9i,8522747 1,,7064624 1 1. 9704536 1 1.,0471972

1. 0100936 1 1,,7495318 1 2<,0201838 1 1.,0471972

1, 0346572 1 1.,7920772 i 2,,0693130 1 1.,0471972

1,,0589327 1 1 .8341236 1 2,,1178640 1 1 ,0471972

1.,0829328 1 1 .8736932 1 2 ,1658644 1 1 ,0471973

1.,1066700 1 1,,9166072 i 2 ,2133387 1 1 ,0471973

1.,1301553 1 1,,9574849 1 2,,2603093 1 1,,0471973

1,,1533990 1 1.,9977442 1 2,,3067968 1 1,,0471973

1.,1764107 1 2,,0376017 1 2.,3528202 1 1.,0471973

1.,1991996 1 2,,0770732 1 2,,3983980 1 1.,0471973

1.,2217739 1 2,,1161730 1 2,,4435466 1 1.,0471973

1(,2441415 1 2,,1549150 1 2 ,4882819 1 1<,0471973

1,,2663098 1 2 ,1933117 1 2.,5326186 1 1,,0471974

1.,2882858 1 2,,2313752 1 2,,5765705 1 1,,0471973

1,,3100759 1 2,,2691166 1 2,,6201508 1 1.,0471974

1.,331686:) 1 2 ,3065470 1 2,,6633715 1 1.,0471973 1 ,3531227 1 2,,3436759 1 2<,7062442 1 1,,0471973 1 3743906 1 2 ,3805130 1 2.,7487800 1 1 ,0471973

1.,3954952 1 2,,4170673 1 2,,7909893 1 1,,0471974

1.,4164414 1 2 ,4533472 1 2,,8328817 1 1,,0471974

1,,4372339 1 2«,4893609 1 2.,8744668 1 1.,0471974 1 ,4578770 1 2.,5251158 1 2<,9157529 1 1.,0471974

1.,4783749 1 2..5606194 1 2,,9567489 1 1,,0471974

1,,4987317 1 2<,5958784 1 2<,9974625 1 1.,0471974

1.,5189511 1 2 ,6308995 1 3.,0379014 1 1.,0471974
-67-

Table 54.

cr = 5 mhos/meter e 2 =80

Re t 1m t Arg t

51

52

53

54

55

56

57

58

59

60

6162

63

64

65

66

67

68

69

70

71

7273

74

7576

77

78

7980

81

82

83

84

85

86

87

88

89

90

9192

93

94

95

96

97

98

99

100

f = 0. 5 kil acycles

1.5390370 1 2.6656893 1 3.0780732 1 1.0471974

1.,5589926 1 It 7002534 1 3. 1179844 i 1, C471974

1.,5788212 1 2.,7345976 1 3.,1576416 1 1.,0471974

1. 5985263 1 2,,7687277 1 3,,1970516 1 1 ,,0471974

1,,6181103 1 2.,8026482 1 3i,2362197 1 1,,0471974

i <,6375768 1 2,,8363652 1 3.,2751527 1 1«,0471974

1.,6569281 1 2,,8698827 1 3<,3138553 1 X 4 ,0471974

1.,6761673 1 2, 9032059 1 3<,3523^37 1 1,,0471974

l<,6952964 1 2t 9363385 1 3. 3905920 1 i,,0471974

1. 7143183 1 2, 9692854 1 3.,4286358 1 1. 0471974

li 7332352 1 3 ,00^0504 1 3< 4664696 1 X 1 0471974

1. 7520495 1

•a 0346378 1 3« 3040982 1 I. 0471975

1. 7707634 1 3, 0670512 1 3, 5415260 1 1 < 0471975

1

«

7893786 I 3 t 0992938 1 34 5767565 1 1, 0471975

1. d078978 1 i a 1313700 1 3i 6157950 1 1. 0471975

1. '8263224 1 3« 1632824 1 3« 6526443 1 1. 0471973

1. 0446546 1 3. 1950347 1 'it 6893086 1 1, 0471971?

1. 8628963 1 3« 2266301 i 3. 7257919 1 1. 0471975

1. 8810489 1 3. 2580714 1 3. 7620970 1 If 0471975

1. 8991146 1 3« 2693621 1 3. 7982234 1 If,0471975

1. 917C945 1 3. 3205043 1 3. 8341333 1 If 0471975

1. 9349906 I 3. 3515012 1 3<,8699805 1 If,0471975

1.,9526045 1 3. 3823557 1 3«,9056082 1 If,0471973

1. 9705371 I 3i 4130696 1 3< 9410736 1 If,0471975

1.,9831905 1 3i 4436461 1 3,,9763803 1 1,,0471975

2.,0057660 1 3« 4740877 1 4,,0115312 i 1,,0471975

2.,0232647 1 3.,5043964 1 4i,0^.65287 1 1,,0471973

2.,0406879 1 3,,5345743 1 4,,0813750 1 If,0471975

2.,0 580 374 1 3,5646244 1 4,,1160740 1 1,,0471975

2.,0753137 i 3 < 5945480 1 4, 1506267 1 1,,0471975

2. 0925185 I 5< 6243475 1 4,,1850363 1 il,0471975

2. 1096529 1 it 6540251 1 4.,«U93049 1 1,,0471973

2.,1267183 1 3< 6835833 1 4«,2534:>39 1 If,0471975

2.,1437150 1 3.,7130224 1 4.,2874292 1 If,0471975

2., I6U6449 1 3,,7423458 1 4,,3212690 1 1 .0471975

2(,1775035 JL j<,7715545 1 4 ,3550162 1 1 .0471975

2 , 1943C70 1 5<,8006503 1 4«,3686132 1 1 ,0471975

2,,2110418 1

•j 8296359 i 4<,4220629 1 1 ,0471975

2 ,2277134 1 3,,8585119 1 4.,4554260 1 1 ,0471975

2<,2443226 1 3« 8872800 1 4,,4666446 1 1,,0471975

2.,2606707 1 3, 9159421 1 4 ,5217407 1 1.,0471975

2,,2773585 1 3.,9444997 1 4 ,5547163 1 1 ,0471975

2 .2937868 1 3<,9729544 1 4 ,5875729 1 1 ,0471975

2 ,3101566 1 4 ,0013079 1 4 .6203127 1 1 ,0471975

2 ,3264684 1 4 ,0293606 1 4 .6529362 1 1 ,0471975

2 •3427233 1 4 .0577151 1 4 .6854461 1 1 ,0471975

2 ,3589220 1 4<,0357720 1 4 ,7178434 1 1 ,0471975

2 .375065J 1 4 .1137331 1 4 , 7501300 1 1 ,0471975

2 , .3911533 1 4 ,1415991 1 4 .7823070 1 1 ,0471975

2 4071864 1 4 .1693719 1 4 .8143762 1 1 ,0471975
-68-

Table 55.

cr = 5 mhos/meter

€ = 80

Re t Im t Arg t f = 1 kilocycle 123456789 10

11

1213

14

151617

18

1920

2122

23

24

25

26

27

28

29

30

3132

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

4. 0466277 - J 7,,0018754 - 1 8.,0871165 - 1 1.,0467593

1,,2891593 2.,2326669 2.,5781259 1,,0471544

1. 9129326 5. 3131465 3.,8257354 1.,0471780

2. 4459688 4. 2364249 4.,8918360 1<,0471856

2.,9256995 5. 0673622 5.,8513140 1.,0471892

3. 3687007 5« 8346757 6.,7373280 1<,0471913

3. 7641834 6, 5543221 7<,5683010 1.,0471926

4« 1779391 7, 2363342 8.,3558190 1.,0471935

4, 5539108 7,,8875418 9<,1077670 1,,0471941

4, 9149357 8.,5128599 9.,6298210 1.,0471946

5<,2631422 9,,1159752 1.,0526237 1 1.,0471950

5. 6001791 9,,6997434 1.,1200314 1 1<,0471953

5.,9273547 1.,0266432 1 1<,1854669 1 1.,0471956

6. 2457324 1.,0817880 1 1.,2491425 1 1.,0471958

6. 5561884 1,,1355607 1 1.,3112339 1 1,,0471959

6. 8594569 1.,1880886 1 1<,3718878 1 1.,0471961

7« 1561605 1.,2394794 1 1.,4312287 1 1.,0471962

7« 4468342 1.,2898257 1 1«,4893635 1 1,,0471963

7« 7319400 1.,3392076 1 1.,5463848 1 1.,0471964

8, 011881^ 1.,3876950 1 1.,6023732 1 1.,0471965

3,,2870138 1.,4353494 .1 1<,6573998 1 1.,0471965

8,,5576512 1.,4822254 1 1.,7115274 1 1.,0471966

8,,8240 742 1.,5283713 1 1.,7648121 1 1.,0471967

9i,0865333 1.,5738306 1 1.,8173040 1 1.,0471967

9.,3452543 1<,6186425 1 1.,8690483 1 1,,0471968

9.,6004419 1.,6628423 1 1.,9200858 1 1.,0471968

9.,8522810 1.,7064622 1 1.,9704537 1 1.,0471968

1.,0100942 ] 1.,7495316 1 2.,0201859 1 1«,0471969

li,0346578 ] 1.,7920770 1 2.,0693131 1 1.,0471969

1.,0589333 ] 1 .8341234 1 2.,1178641 1 1.,0471969

1.,0829334 ]L 1 ,8756930 1 2.,1658645 1 1 ,0471970

1.1066706 ; L 1 ,9168071 1 2<,2133390 1 1 ,0471970

1.,1301559 ]L 1.,9574848 1 2 ,2603095 1 1,,0471970

1.,1533995JL 1.,9977441 1 2.,3067969 1 1 ,0471971

1,,1764112 ] L 2.,0376016 1 2.,3528204 1 1.,0471971

1,,1992001 : L 2,,0770731 1 2.,3963982 1 1.,0471971

1.,2217744 ] 2.,1161729 1 2.,4435467 1 1.,0471971

1,,2441421 ] 2,,1549149 1 2.,4882821 1 1.,0471971

1,,2663103 ] L 2,,1933116 1 2.,5326187 1 1.,0471972 1 ,2882863 ]L 2<-2313751 1 2<,5765707 1 1.,0471972

1.,3100764 i 2.,2691167 1 2 < ,6201509 i 1<,0471972

1<,3316868 iL 2,,3065469 1 2 ,6633716 1 1.,0471972 1 ,3531232 ] L 2,,3436758 1 2.,7062444 1 1.,0471972 1 ,3743910 ; L 2 ,3805129 1 2,,7487802 1 1 ,0471972 1 ,3954956 L 2 ,4170672 1 2<,7909894 1 l.,0471972 1 ,4164416 ; 2 ,4533471 1 2 ,8328818 1 1.,0471972 1 ,4372343 : L 2,,4893607 1 2 ,8744668 1 1 ,0471972 1 •4578774 L 2 ,5251156 1 2 .9157530 1 1 ,0471972 1 ,4763754 L 2 .5606192 1 2 ,9567490 1 1 ,0471972 1 ,4987322 2 ,5958782 1 2 ,9974626 1 1 ,0471972 1 ,5189515 : L 2 ,6308993 1 3,,0379014 1 1.,0471973
-69-

Table 56.

cr = 5 mhos/meter 80

Re t Im Ars

f = 2 kilocycles

12

34

56

7

39 10

1112

1314

15

1617

18

1920

21

2223

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

4142

43

44

45

46

47

48

49

50

4. 0493992 - 1 1.2892462

1.9129912

2.4460146

2.9257378

3.3687340

3.784213o

4. 1779659

4.5539354

4.9149585

5.2631635

5.6001991

5.9273736

6.2457504

6.5562055

6.8594732

7.1561762

7.4468493

7.7319545

8.0118954

8.2870273

8.5576643

8.8240869

9.0865456

9.3452663

9.6004536

9.8522924

1. 0100953 1 1.0346569 1 1.0589343 1 1.0829345 1 1.1066716 1 1.1301569 1 1.1534005 1 1.1764122 1 1.1992010 1 1.2217753 1 1.2441430 i 1.2663112 1 1.2882872 1 1.3100772 1 1.3316876 1 1.3531240 1 1.3743919 1 1.3954964 1 1.4164426 1 1.4372351 1 1.4578782 1 1.4783761 1 1.4987329 1 1.5189523 1

7. 0C11346 - 1 8< 0878625 - 1 1. 0464166

2. 2326436 2. 5781492 1, 0471207

3. 3131308 3« 8257511 1, 0471627

4, 2364126 4i 8918482 1, 0471762

5« 0673519 5<,8513245 1« 0471827

5« 8346668 6. 7373365 1, 0471863

6. 5543141 7. 5683090 1. 0471887

7. 2363270 8. 3558260 1. 0471903

7« 8875352 9. 1077735 1, 0471914

8. 5128533 9. 8298270 1. 0471923

9. 1159695 1. 0526243 1 1. 0471930

9. 6997381 1. 1200319 1 1, 0471935

1. 0266426 i 1« 1854673 1 1. 0471940

1« 0817875 1 1. 2491430 1 1. 0471943

1. 1355603 1 1..3112344 1 1. 0471946

1..1880882 1 1.,3718882 1 ll,0471949

1,,2394789 i 1.,4312290 i 1.,0471951

1 .2898253 1 1.,4893639 1 ll,0471953

1..3392072 1 1.,5463852 1 1,.0471955

1..3876946 1 1.,6023736 1 1..0471956

1..4353491 1 1. 6574002 1 1..0471957

li.4822250 1 1.,7115278 1 ll 0471959

li.5283709 1 1.,7648124 X ll 0471960

1..5738302 1 1. 8173042 1 ll 0471960

It 6186422 1 1« 8690486 1 1. 0471961

1. 6628420 1 1. 9200861 1 ll 0471962

1.,7064619 1 1.,9704340 1 ll,0471963

1<.7495313 1 2. 0201862 1 ll 0471963

1..7920767 1 2.,0693134 1 ll 0471964

1.,8341232 1 2 ,1178645 1 ll,0471965

1<,8756928 1 2.,1658649 1 1..0471965

li 9168068 1 2..2133392 1 ll.0471965

1.,9574845 1 2 ,2603098 1 1..0471966

1.,9977438 1 2 ,3067972 1 1..0471966

2.,0376013 1 2 .3528206 1 1.,0471967

2.,0770728 1 2 .3963983 1 1 .0471967

2.,1161726 1 2 .4435469 1 1 ,0471967

2 .1549146 1 2 .4882823 1 1 .0471967

2..1933114 1 2 .5326190 1 1 .0471968

2 .2313749 1 2 ,5765710 1 1 .0471968

2 .2691165 1 2 ,6201512 1 1 •0471969

2 .3065467 1 2 .6633719 1 1 .0471969

2 .3436756 1 2 ,7062446 1 1 .0471969

2 .3805127 1 2 ,7487804 1 1 ,0471969

2 .4170670 1 2 ,7909897 1 1 ,0471969

2 .4533469 1 2 .8328821 1 1 ,0471969

2 .4893605 1 2 .3744670 1 1 ,0471969

2 ,5251154 1 2 .9157532 1 1 .0471970

2 .5606190 i 2 .9567492 1 1 ,0471970

2 .5958780 1 2 .9974628 1 1 .0471970

2 .6306991 1 3 .0379016 1 1 .0471970
-70-

Table 57.

<r = 5 mhos/meter 80

Re t Im t Arg t 12356789 10

11

1213

14

1516

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 f = 3 kilocycles

4,.0519384 - 1 7 ,0004568 - 1 8.,0885475 - 1 1.,0461031

1..2893259 2.2326223 2.,5731706 1.047089S

1,,9130449 3<,3131164 3.,8257654 1..0471486

2.,4460566 4,,2364014 4<8918596 1.0471677 2 .9257729 5.,0673425 5 .8513340 1 ,0471767

3.,3687645 5,,8346586 6.,7373450 1<0471818

3.,7842401 6. 5543068 7.,5683165 1,,0471851

4.,1779905 7,,2363204 8.,3558325 1.,0471873

4i 5539579 7,,8875291 9.,1077795 1. 0471890

4<,9149793 8,,5128482 9.,8298325 1.0471902

5,,2631830 9,.1159643 1.,0526248 1 1..0471911

5.,6002174 9.6997332 1<,1200324 1 1,.0471919

5. 9273909 1. 0266422 1 1. 1&54678 1 i<,0471925

6. 245 7668 1.,0817871 1 1.,2491435 1 1.,0471930

6. 5562211 1.,1355598 1 1. 3112347 1 li 0471934

6. 8594882 1.,1880878 1 1 < , :571S887 1 1.,0471938

7, 1561905 1. 2394786 1 1<,4312295 1 1.,0471941

7,,4466631 1.,2898249 1 1.,4893643 1 1.,0471944

7. 7319678 1.,3392069 1 1.,5463856 1 1.,0471946

8«,0119082 1.3876943 1 1.,6023740 1 1.,0471948

8,,2870397 li,4353487 1 1. 6574005 1 1.,0471950

8i 5576763 1.,4822247 1 i.,7115281 1 1«,0471952

8.,8240986 1.,5283706 1 1.,7648127 1 1.,0471953

9<,0865569 1.,5738299 1 1<,8173046 1 1.,0471954

9<,3452773 1,,6186419 i 1.,8690489 1 1.,0471956

9,,6004643 1.,6628417 1 1.,9200864 1 1..0471956

9.,8523028 1.,7064616 1 1.,9704543 1 1<,0471957

1.,0100963 ]L 1.,7495311 1 2.,0201866 1 1.,0471959

1.,0346599 ] 1.,7920765 1 2.,0693138 1 1<,0471959

1.,0589353 ] 1.,8341229 1 2.,1178647 1 1<,0471960

1.,0829354 ]L 1.8756925 1 2.,1658651 1 li,0471961

1,,1066725

L 1,.9166065 1 2..2133394 1 1.0471961

1.,1301578 : L 1,.9574843 1 2..2603101 1 1 .0471962

1.1534014L 1 ,9977436 1 2..3067974 i 1 .0471962

1.1764130 2<,0 3,76011 1 2.,3528208 1 i ,0471963 1 ,1992019 L 2,,0770726 1 2.,3983986 1 1.0471963 1 ,2217761 2 ,1161724 1 2..4435471 1 1 0471964

1,,2441438

L 2,,1549144 1 2..4882625 1 1 .0471964

1.,2663120 ;L 2«,1933111 1 2.5326192 1 1..0471965

1.,2882880

L 2,2313747 1 2..5765712 1 1 .0471965 1 ,3100780 L 2.,2691163 1 2.,6201514 1 1..0471966 1 ,3316884 L 2,,3065465 1 2.,6633721 1 1.,0471966

1.,3531247 ; L 2,3436754 1 2«,7062448 1 1.,0471966

1.,3743926L 2,,3805125 1 2.,7487806 1 1.,0471966

1,,3954972

JL 2.,4170668 1 2.,7909899 1 1. 0471966

1,,4164433 ] L 2.,4533467 1 2.,8328822 1 1.,0471967 1 ,4372358 L 2.,4893603 1 2.8744672 1 1.,0471967

1.,4578789 : L 2.,5251152 1 2.,9157534 1 1.,0471967

1<,4783768 ] L 2.,5606189 1 2,,9567495 1 1.,0471968

1.,4987336 ] L 2.,5958779 1 2.,9974630 1 1.,0471968 1 ,5189530 ] L 2,,6308990 1 3. 0379019 1 1. 0471968
-71- Table 5!

<r = 5 mhos/meter 80

Re t Im t Arg t

f = 4 kilocycles

12

34

56

7

8

9 10

1112

1314

15

1617

1819

221

2223

24

25

26

27

28

29

30

3132

3334

3536

37

38

39

40

4142

43

44

45

46

47

48

49

50

4.0543376 - ] 6. 9998172 - J 8. 0891960 - 1 1. 0458067

1.2894011 2..2326021 2. 5781907 1. 0470606

1.9130956 3. 3131029 3f 8257792 If 0471354

2.4460962 4< 2363907 4f,8918701 If 0471595

2.9258060 5..0673336 5f 6513425 If 0471710

3.3687933 5. 8346509 6f.7373525 1. 0471775

3.7842658 6,.5543000 7f.5683230 If.0471817

4.1780137 7..2363142 8f 3558390 If 0471846

4.5539792 7..8875234 9, 1077855 If 0471866

4.9149991 8..5128429 9f.8298380 If 0471882

5.2632015 9. 1159593 If 0526253 1 1. 0471894

5.6002348 9. 6997285 If 1200329 1 If 0471903

5.9274073 1, 0266417 ] It.1854682 1 If,0471911

6.2457824 1. 0817866 ] If.2491438 1 If,0471917

6.5562359 If.1355594 I If.3112351 1 If 0471923

6.8595023 It,1880874 ] If,3718890 1 If,0471928

7.1562041 1..2394782 ] If.4312298 1 If,0471931

7.4468761 1..2898246 J If,4893647 1 If,0471935

7. 7319804 If.3392065 ] If,5463859 1 If,0471938

8.0119203 If.3876940 ] If,6023743 1 If,0471941

8.2870514 If 4353484 ] If 6574008 1 If 0471943

8.5576877 1<.4822244 ] If 7115284 1 If,0471945

3.8241096 1..5283703 ] If.7648130 1 If,0471947

9.0865676 If.5738297 ]L If.8173049 1 If,0471948

9.3452877 If.6186416 J If,8690491 1 It,0471950

9.6004744 1 .6628414 ] If,9200866 1 1.,0471951

9.8523127 It.7064614 ] If,9704546 1 If,0471953

1.0100973 ] If.7495308 3 2. 0201868 1 If 0471954

1.0346608 ] If.7920762 ] 2.,0693139 1 If 0471954

1.0589362 ] 1..8341226 JI 2.,1178649 1 If,0471955

1.0829363 ] If.8756923 j1 2.,1658653 1 If,0471957

1.1066734 ] If.9168063 i 2.,2133397 1 1.,0471957

1.1301586 ] If.9574840 ji 2.,2603102 1 1.,0471958

1.1534022 ] 1..9977433 ]L 2.,3067976 1 1.,0471959

1.1764139 ] 2f.0376009 :L 2..3528211 1 If,0471959

1.1992027 J 2«,0770724 L 2.,3983988 1 If,0471960

1.2217769 ] 2 ,1161722 L 2.,4435474 1 If,0471961

1.2441446 ] 2,,1549142 ;1 2 ,4882828 1 1..0471961

1.2663123 ] 2 ,1933109 L 2.,5326194 1 If,0471962

1.2882887 ]I 2 ,2313745 L 2 ,5765714 1 1.,0471962

1.3100788 I 2.,2691161 L 2 .6201516 1 1 .0471963

1.3316891 :L 2 ,3065463 L 2 .6633723 1 1 .0471963

1.3531255 L 2 .3436752 L 2 ,7062450 1 1 ,0471963

1.3743933 L 2 ,3805123 L 2 .7487808 1 1 .0471964

1.3954979 L 2 .4170666 L 2 ,7909900 1 1 .0471964

1.4164440 L 2 ,4533465 L 2 .8328824 1 1 .0471964

1.4372365 L 2 ,4893602 L 2 ,8744675 1 1 ,0471965

1.4578795 L 2 ,5251151 L 2 ,9157536 1 1 ,0471965

1.4783775 L 2 .5606187 L 2 ,9567496 1 1 ,0471965

1.4987342 L 2 .59.58777 L 2 ,9974632 1 1 ,0471966

1.5189536 L 2 .6308988 L 3.,03790,20 1 1 ,0471966
-72-

Table 59.

(r = 5 mhos/meter e 2 = 80

Re Im t s Arg

r 12356739 10

1112

1314

15

1617

1819

20

2122

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50 f = 5 kilocycles

4.0566377 - 1 6i 9992047 - 1 6,.O&98190 - 1 1 < ,0455226

1.2894733 2, 2325828 2<.5782101 1,,0470327

1.9131442 3.>313089S 3..8257921 1..0471227

2.4461343 4,>2363806 4<.8918804 1,.0471518

2.9258378 5,.0673251 5,,8513510 1,.0471656

3.3688209 5. 8346435 6,.7373600 1,.0471734

3.7842903 6..5542934 7..P683300 1,,0471785

4.1780360 7,.2363083 8.,3558450 1 ,0471819

4.5539996 7..8875180 9..1077910 1.,0471844

4.9150180 8..5128378 9,.8298430 1.,0471662

5.263219i 9.•1159546 1,,o526258 1 1 .0471877

5.6002514 9<.6997241 1..1200333 1 1 .0471868

5.9274230 1,.0266413 1 1,.1854686 1 1 .0471698

6.2457972 1..0817662 1 1..2491442 1 1 .0471905

6.5562501 1 .1355591 1 1,,3112356 1 1 ,0471912

6.8595159 1 .1880871 1 1,,3716695 1 1,.0471916

7.1562171 1..239477e 1 1,,4312301 1 1 ,0471922

7.4468886 1 .2898242 1 1 < ,4693650 1 1,,0471926

7. 7319924 li.3392062 1 1.,5463862 1 1,,0471930

8.0119319 1..3876937 1 1.,6023746 1 1,,0471933

8.2870626 1..4353481 1 1. 6574011 1 1<,0471936

8.5576985 1. 4822241 1 1. 7115287 1 1.,0471939

8.8241201 1,,5283700 1 1.,7648133 1 1«,0471941

9.0865778 1..5738294 1 1.,8173052 1 1.,0471943

9.3452976 1<.6186413 1 1«,8690494 1 1.,0471945

9.6004841 1,,6628412 1 1.,9200870 1 1.,0471946

9.8523221 1..7064611 1 1, 9704548 1 1.,0471948

1.0100982 1 1..7495305 1 2« 0201870 1 1.,0471949

1.0 346617 1 1..7920760 1 2«,0693142 1 1.,0471950

1.0589371 1 1..8341224 1 2.,1178652 1 1,,0471951

1.0829372 1 1,.8756920 1 2,,1658656 1 1 ,0471952

1.1066743 1 1,.9168061 1 2,,2133399 1 1,,0471953

1.1301594 1 1<.9574838 1 2,,2603104 1 1,,0471954

1.1534031 1 1 .9977431 1 2 ,3067978 1 1 ,0471955

1.1764147 1 2 .0376007 1 2 .3528213 1 1 ,0471956

1.1992035 1 2..0770722 1 2 .3983991 i 1 ,0471957

1.2217777 1 2,.1161720 1 2,.4435476 1 1 ,0471957

1.2441453 1 2 .1549140 1 2 .4882829 1 1 .0471958

1.2663135 1 2..1933107 1 2..5326196 1 1,,0471959

1.2882895 1 2. 2313743 1 2. 5765716 1 1.,0471959

1.3100795 1 2.,2691159 1 2<.6201518 1 1,,0471960

1.3316898 1 2,,3065461 1 2..6633724 1 1,,047i960

1.3531262 1 2,,3436750 1 2,.7062452 1 1,,0471961

1.3743940 1 2,.3805121 1 2.,7487810 1 1.,0471961

1.3954985 1 2.,4170664 1 2<,7909902 1 1,,0471962

1.4164447 1 2.,4533464 1 2 ,8328627 1 1,,0471962

1.4372371 1 2,.4893600 1 2,,8744676 1 1.,0471963

1.4578802 1 2..5251149 1 2«,9157538 1 1.,0471963

1.4783781 1 2 .5606185 1 2.,9567497 1 1,,047196j>

1.4987349 1 2,.5958775 1 2,,9974633 1 1,,0471963

1.5189542 1 2i.6J08986 1 3<,0379021 1 1,,047196^
-73-

Table 60.

a = 5 mhos/meter 80

Re t Im t Arg t

12

34

56

7

89 10

111213

14

15

1617

1819

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

4142

43

44

45

46

47

48

49

50

f = () kil ocycles

4.0588619 - 1 6.9986130 - 1 8.0904230 - 1 1.0452483

1.2895430 2.,2325642 2.,5782289 1. 047C056

1.9131912 3. 3130772 3.,8258048 1. 0471104

2.4461710 4. 2363707 4i,8918903 1. 0471443

2.9258686 5,.0673169 5,,8513595 1, 0471603

3.3688476 5. 8346364 6.,7373670 1. 0471695

3.7843141 6..5542870 7,,5683360 1<,0471753

4.1780575 7..2363025 8. 3558505 1. 0471793

4.5540194 7« 8875127 9.,1077960 i. 0471622

4.9150363 8..5128329 9.,8298475 1. 0471844

5.2632362 9i.1159500 1.,0526263 1 1,,0471661

5.6002674 9. 6997198 1,,1200338 1 1,,0471«74

5.9274381 1..0266409 1 1 < ,1854690 1 1. 0471885

6.2458116 1..0817859 1 1,,2491447 i 1, 0471894

6.5562638 1. 1355587 1 1,,3112359 1 1.,0471902

6.8595290 1«.1880867 1 1.,3718897 1 1,.Q471VQ8

7.1562296 1..2394775 1 1 .4312305 1 1.,0471914

7.4469007 1,,2898239 1 J. <,4893653 1 1,,0471918

7.7320040 1. 3392059 1 1..5463866 1 1.,0471923

8.0119431 1..3876934 1 1.,6023749 1 1 ,047192b

8.2870 735 1.,4353478 1 1.,6574014 1 1.,047192V

8.5577090 1..4822238 1 1 ,7115289 1 1 ,0471932

8.8241303 1 .5283698 1 1 ,7648136 1 1.,0471935

9.0865877 1,.5738291 1 1,,8173054 X 1,,0471937

9.3453073 1..6186411 1 1.,8690497 1 1,,0471939

9.6004935 1.,6628409 1 1.,9200872 1 1.,0471941

9.8523313 1,,7064609 1 1,,9704551 1 \ i 0471943

1.0100991 1 1..7495303 1 2 ,0201873 1 ,0471945

1.0346626 1 1.,7920757 1 2.,0693144 1 1<,0471946

1.0589379 1 1.,8341222 1 2.,1178654 1 1,,0471947

1.0829380 1 1..8756918 1 2,,1658658 1 1,,0471949

1.1066751 1 1, 9168059 1 2.,2133402 1 1,,0471950

1.1301602 1 1. 9574836 1 2«,^603106 1 1,,0471951

1.1534038 1 1,,9977429 1 2.,3067980 i 1 ,0471932

1.1764154 1 2,,0376004 1 2.,3528214 1

i ,0471933

1.1992042 1 2,,0770720 1 2 ,3983992 i i<,0471954

1.2217784 1 2..1161718 1 2,,4435478 1 1.,0471954

1.2441460 1 2.,1549138 1 2.,4862831 1 1,,0471955

1.2663142 1 2,.1933106 1 2.,3326198 1 1, 0471956

1.2882902 1 2,,2313741 1 2.,3765718 1 1.,0471957

1.3100802 1 2. 2691157 1 2.,6201520 1 1,,0471957

1.3316905 1 2,.3065459 1 2 ,6633726 1 1.,0471953

1.3531268 1 2 .3436748 1 2 ,7062453 1

i ,0^71958

1.3743946 1 2 ,3805120 1 2 ,7487812 1 1 ,0471959

1.3954992 1 2,,4170663 1 2,,7909904 1 \ ,0471959

1.4164453 1 2 ,4533462 1 2 ,0328828 i 1,,0471960

1.4372377 1 2 .4893598 1 2 ,8744677 1 1 ,0471960

1.4578808 1

J .,5251147 1 2.,9157339 1 I ,0471961

1.4783787 1 2 .5606183 1 2 ,9567499 1

1 ,0471951

1.H987355 1 2 ,5958774 1 2 .9974636 -I 1 ,0471961

1.5189548 1 2 .6306983 1 3 .0379024 1 1 ,0471962
-74-

Table 61.

cr = 5 mhos/meter 80

Re t Im t

s KI Ar g T

f = 7 kilocycles

12

34

56

7

89 10

1112

13

14

1516

1718

19

221

2223

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

4,,0610248 - 1 6< 9980383 - 1 8.,0910110 - 1 1, 0449814

1.,2896109 2.,2325460 2.,5782471 1,,0469793

1.,9132369 3, 3130650 3.,8258169 1.,0470984

2.,4462068 4i,2363611 4«,6918998 1,,0471369

2.,9258985 5 ,0673089 5 ,8513675 1,,0471552

3.,3688735 s, 8346294 6.,7373740 1.,0471656

3.,7843372 6.,5542608 7.,5683425 1<,0471723

4.,1780784 7, 2362969 8.,3558560 i

,

,0471768

4, 5540386 7. 8875075 9. 1078010 1. 0471801

4, 9150541 8, 5128282 9.,8298525 1.,0471826

5i,2632528 y<,1159456 1, 0526267 1 1.,0471845

5« 6002830 9, 6997156 1<,1200342 1 1<,0471860

5. 9274529 1« 0266405 1 1. 1854694 1 1, 0471873

6, 2458256 1.,0817855 1 1. 2491451 1 1, 0471883

6, 5562771 1.,1355583 1 1.,3112362 1 1.,0471891

6, 8595418 I,,1880864 1 1.,3718901 1 1.,0471899

7,,1562419 1,,2394772 1 1.,4312309 1 1<,0471905

7. t469124 1.,2898236 1 1<,4893656 1 1,,0471911

7, 7320153 1.,3392056 1 1.,5463868 1 1.,0471915

8<,0119540 1<,3876931 1 1<,6023752 1 li,0471920

8.,2870840 1.,4353476 1 1.,6574017 1 li,0471923

a.,5577193 1.,4822235 1 1.,7115292 1 1.,047192b

8.8241402 1.,5263695 1 1.,7648138 1 1.,0471929

9.,0865973 1.,5738289 1 1.,8173057 1 1<,0471932

9.,3453166 1<,6186408 1 1.,8690499 1 1.,0471934

9.,6005026 1,,6628407 1 1.,9200874 1 1.,0471936

9.,8523401 1.,7064606 1 1.,9704553 1 1,,0471938

1.,0101000 1 1 ,7495301 1 2.,0201875 1 1,,0471940

1..0346634 1 1 ,7920755 1 2.,0693146 1 1.,0471942

1.,0589388 1 1 ,8341220 1 2.,1178657 1 1,,0471943

1,,0829388 1 1.,8756916 1 2.,1658660 1 1.,0471945

1.,1066759 1 1.,9168056 1 2.,2133403 1 1<,0471946

1.,1301610 1 li,9574834 1 2.,2603109 1 1.,0471947

1.,1534046 1 1,,9977427 1 2.,3067963 1 1.,0471948

1.,1764162 1 2.,0376002 1 2.,3528217 1 1.,0471949

1.,1992049 1 2.,0770718 1 2.,3983994 1 1.,0471951

1 ,2217791 1 2, 1161716 1 2.,4435479 1 1.,0471952

1.,2441467 1 2.,1549136 1 2.,4882833 1 1.,0471952

1,,2663149 1 2,,1933104 1 2.,5326200 1 1,,0471953

1 ,2882908 1 2 .2313739 1 2.,5765719 1 1.,0471954

1.,3100808 1 2.,2691155 1 2,,6201521 1 1.,0471955

1 ,3316911 1 2..3065457 1 2.,6633728 1 1 ,0471955

1 ,3531275 1 2.,3436747 1 2.,7062456 1 1.,0471956

1 ,3743953 1 2..3805118 1 2.,7487814 1 1.,0471956

1.,3954998 1 2,,4170661 1 2., 7909906 1 1.,0471957

1 ,4164459 1 2 .4533460 1 2.,8328829 1 1.,0471958

1 ,4372383 1 2 ,4893596 1 2.,8744678 1 1.,0471958

1 ,4578814 1 2 .5251146 1 2.,9157541 1 1 ,0471959

1 4783793 1 2 .5606182 1 2.,9567501 1 1,,0471959

1 ,4987360 1 2.,5958772 1 2«,9974636 1 1<,0471960

1,,5189554 1 2 ,6308983 1 3.,0379025 1 1.,0471960
-75-

Table 62.

o" = 5 mhos/meter € = 80

Re t Im t Arg t

f = 8 kilocycles

12

34

56

7

8

9 10

1112

1314

1516

17

18

1920

2122

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

4142

43

44

45

46

47

48

49

50

4 ,0631367 -• 1 6. 9974778 - 1 8. U915870 -• 1 It 0447209

1 .2896771 2.,2325283 2,,5782649 It 0469336

1.,9132816 3. 3130530 3. 6256290 It 0470866

2.,4462417 4i 236^518 4< 8919093 It 0471298

2.,9259276 u 0673010 5. 8513750 It 0471502

3.,3688989 5< 8346226 6t 7373810 It 0471619

3<,7843598 6< 5542748 7.,5683485 It 0471693

4., 1780989 7..2362914 8.,3558615 It 0471744

4,,5540573 7, 8675025 9. 1078060 It 0471780

4,,9150715 8.,5128235 9.,8298570 It 0471808

5<,2632691 9. 1159412 1< 0526272 1 It,0471829

5 « ,6002983 9,,6997115 It 1200346 1 It 0471647

5 (,9274673 1, 026640 1 1 1.,1854698 1 It 0471661

6. 2458393 1. 0817851 1 1,,^491454 1 It,0471872

6< 5562902 i « 1353560 1 It,3112366 1 It 0471881

6. 8595542 1. 1880860 1

1 .

J. * ,3718904 1 It 0471890

7,,1562338 1. 2394769 1 It,4312312 1 It 0471897

7, 4469239 1. 2898233 1 It,4893660 1 It 0471903

7. 7320264 I< 3392033 1 It 5463871 i It 047x908

8, 119647 li 3876928 1 It 6023755 1 1. 0471913

8. 2870943 1, 4333473 1 1

1

6574020 1 i t,0471917

8.,5577292 1. 4622233 1 It 7115295 1 It 0471921

8<,8241499 1 < 5283692 1 It,7648141 1 It 0471924

9, 0866067 i, 5736286 1 It,8173039 1 It 0471927

9,,3453256 1,,6166406 1 It,8690302 1 1

1

,04 71930

9,,6005115 1< 6628404 1 It,9200876 1 It 0471932

9,,8523488 1.,7064604 1 It,9704555 1 X 1 ,0471934

1. 0101008 1 1. 7495298 1 2t,0201677 1 It 0471936

1<,034664^ 1 i,,7920753 1 2,,06.93149 2 It,0471936

1,,0589396 1 1,,8341217 1 2.,1178656 1 It 047i939

i i ,0829396 1 1,,8756914 1 2t,1658662 i It,0471941

1.,10 66 766 1 1.,916'8054 1 2,,2133405 1 1

1

,0471943

1.,1301616 1 1

1

,957463^ 1 2,,2603111 i It,0471944

li,1534053 1 1.,9977425 1 2.,3067984 1 1.,0471945

1 ,1764169 1 2,,0376001 1 2 ,3528219 1 1 < ,0471947

1 ,1992057 1 2,,0 770 716 i 2,,3963996 1 1 < ,0471948

1,,2217798 1 £ ,1161714 1 2t,4435481 1 It,04 71949

1.,244147^ 1 2 , 1549133 1 2.,4682836 x I

,

,0471950

1.,2663156 1 2.,1953102 1 2 < ,5326202 1 It,0471951

1,.2882915 1 2,,2213 73 7 1 2

1

,5765721 i 1 ,0471951

1 .3100815 1 2 .2691153 1 2«.6201523 1 1 ,0471952

1 .3316918 1 2 . 3065456 1 2 .6633730 i I .0471953

1 .3531281 1 2 .3436743 1 2 .7062457 i 1 .0471954

1 ,37439dv 1 2 . 3oo 5116 1 2 .7437815 1 1 .0471954

1.,3955004 1 2 .4x70659 i 2<, 7909907 1 1 .0471955

1 .4164465 1 2«,4533459 1 2 ,6328832 1 1 .0471956

1 ,4372389 1 2.,4893595 1 2 .8744680 1 1 ,0471956

A. .4576620 1 2<, 523114^ 1 2 vis 754^: i 1 ,0471937

1 .4783799 1 2 .5 60 618 1 2 .956750*: X 1 ,047x957

1 .4967366 1 2 .5936771 1 2 ,9974638 1 1 .0471936

2 .3189559 l 2 .6308932 1 3 .0379026 1 1 .0471958
-76-

Table 63.

0" = 5 mhos/meter « 2 = 80

Re t Im t kl

Arg

T f = 9 kilocycles 123456789 10

11

12

1314

1516

17

1819

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

4<,0652049 - 1 6.,9969293 - 1 8.,0921510 - 1 i ,0444656

1,.2897420 2 ,2325109 2.,5782823 1 ,0469285 1 .9133253 3<,3130413 3 ,8258407 It,047075.3

2,,4462759 4 ,2363426 4 ,8919184 1 ,0471226 2 ,9259562 5" ,0672934 5 ,8513830 1 ,0471454 3 •3689237 5 .8346160 6 ,7373875 1 ,0471582 3 ,7843819 6 .5542689 7 ,3683545 1 ,0471664 4 ,1781189 7 •2362660 8 ,3558670 1 ,0471720 4 ,5540757 7,,8874976 9 ,1078110 i .0471760

4,,9150885 8 ,5128189 9 ,8298615 It,0471791

5,,2632849 9 ,1159370 1.,0526276 1 1 ,0471814

5<,6003132 9 .6997075 1.,1200350 1 1 ,0471833

5,,9274614 1.,0266398 1 1.,183470^ 1 1 ,0471649

6.,2458527 1,,0817848 1 1 ,^491458 1 1 ,0471861 6 ,5563029 1 ,1355576 1 1 ,3112369 1 1 ,047187^

6,,8595664 1 ,1880857 1 1 ,3718907 1 It,0471681

7,,1562655 1 .2394766 1 1 ,4312315 1 1 ,0471889

7.,4469351 1 ,2898230 1 1 ,4893663 1 1 ,0471895

7,,7320372 1 ,3392050 1 1 ,5463874 1 1 ,0471901

8<,0119751 1 ,3876925 1 1,,6023758 1 1.,0471906

8,,2871044 1,,4353470 1 1.,6574022 1 1.,0471911

8.,5577390 1,,4822230 1 1.,7115298 1 1..Q471915

8.,8241594 1.,5283690 1 1.,7648144 1 1, 0471919

9. 0866159 I.,5738284 1 1.,6173062 1 1, 0471922

9, 3453347 1.,6186403 1 1,,8690504 1 1. 0471925

9. 6005202 1,,6628402 1 1.,9200879 1 1. 0471927

9<,8523573 1<,7064602 1 1<,9704558 1 1. 0471930

li,0101017 ] 1.,7495296 1 2.,0201879 1 1.,0471932

1.,0346650 jL 1 ,7920751 1 2.,0693151 1 1.,0471934

1<,0589403 iL 1 ,8341215 1 2 ,1178660 1 1.,0471936 1 ,0829404 L 1 ,8756912 1 2 ,1658665 1 1 ,0471938 1 ,1066774 : L 1 .9168052 1 2 ,2133407 1 1 .0471939 1 ,1301625 L 1.,9574830 1 2 ,2603113 1 1 ,0471941 1 ,1534061 L 1 ,9977423 1 2.,3067987 1 1 ,0471942

1.,1764176

L 2 0375999 1 2 ,3528221 1 1.,0471944 1 ,1992064 ;L 2 .0770714 1 2 ,3983998 1 1,,0471945 1 ,2217805 ;L 2 .1161712 1 2 ,4435483 1 1 ,0471946 1 ,2441481 L 2 ,1549133 1 2 ,4882837 1 1,,0471947

1.,2663163 ;L 2<,1933100 1 2 ,5326204 i 1.,0471948 1 ,2882921 jt 2 ,2313735 1 2.,3765722 1 1,,0471949

1,,3100821 ;L 2 ,2691152 1 2.,6201525 1 1,,0471950

1.,3316924 ]L 2,,3065454 1 2.,6633731 1 i< 0471951

1.,3531287 ]L 2.,3436743 1 2,,7062459 1 i ,0471951

1.,3743965 } 2, 3805115 1 2. 7487817 1 1. 0471952

1.,3955010 ] 2« 4170658 1 2, 7909909 1 1. 0471953

1.,4164471 ] 2, 4533457 1 2.,8328833 1 1, C471954

1,,4372395 ] 2.,4893593 1 2.,8744682 1 1, 0471954

1,,4578825 ] 2<,5251143 1 2«,9157544 1 1, C471955

1.,4783805 : 2.,5606179 1 2,,9567504 1 1. 0471955

1.,4987372 ] 2<,5958769 1 2. 9974640 1 1, 047195b

1,,5189565 ] 2,,6308980 1 3. 0379028 1 1, 0471956
-77-

Table 64.

cr = 5 mhos/meter € 2= 80

12

34

56

7

8

9 10

Re t.

4.0672351 - 1 1*2898056

1.9133682

2.4463u94

2.9259843

3.3689481

3.7644036

4.1781385

4.5540937

4.9151052

5.2633005

Im t K

f = 10 kilocycles

6.9963917 - 1 2.2324938

3.3130298

4.2363336

5.0672859

5.8346094

6.5542631

7.2362808

7.8874927

8.5128145

9.1159328

8.0927065 - 1 2.5782993

3.8258521

4.8919273

5.8513905

6.7373940

7.5683600

8.3558725

9.1078160

9.8298660

1.0526280 1

Arg t c

1.0442155

1.0469038

1.0470641

1.0471160

1.0471406

1.04715,46

1.0471635

1.0471696

1.0471740

1.0471774

1.0471800

f = 20 kilocycles

12

34

56

7

89 10

4.0861172 - 1 1.2903979

1.9137673

2.4466216

2.9262452

3.3691747

3.7845053

4. 1783213

4.5542614

4.9152605

5.2634456

6.9914164 - 1 2.2323354

3.3129230

4.2362501

5.0672160

5.8345487

6.5542090

7.2362318

7.8874478

8.5127726

9. 1158939

8.0.979170 - 1 2.5784585

3.8259593

4.8920111

5.8514605

6.7374550

7.5634140

8.3559215

9.1078610

9.8299080

1.0526319 1

1.0418909

1.0466741

1.0469598

1.0470522

1.0470960

1.0471209

1.0471368

1.0471477

1.0471556

1.0471616

1.0471662

f = 30 kilocycles

12

34

56

78

9 10

4.1034163 - 1 1.29G9405

1.9141329

2.4469C75

2.926484J

3.3693323

3.7347901

4.1784887

4.5544150

^.9154028

5.2635785

6.9869000 - 1 2.2321904

3.3128251

4.2361735

5.0671520

5.8344931

6.5541595

7.2361870

7.8874067

8.5127347

9.1158583

8.1027650 - 1 2.3786046

3.8260574

4.8920877

5.8515245

6.7375105

7.5684635

8.3559660

9.1079020

9.8299460

1.0526354 1

1.0397664

1.0464638

1.0468643

1.0469937

1.0470551

1.0470901

1.0471124

1.0471277

1.0471388

1.0471471

1.0471536

f = 50 kilocycles

1234

56

78

9 10

4.1354310

1.2919447

1.9148096

2.4474367

2.9269267

3.3697666

3.7851322

4.1787985

4.5546992

4.9156662

5.2636244

6.9786462 - 1 2.2319223

3.3126441

4.2360319

5.0670335

5.8343902

6.5540679

7.2361041

7.3873305

8.5126642

9.1157924

8.1119230 - 1 2.5788754

3.8262393

4.8922298

5.8516430

6.7376135

7.5665555

8.3560495

9.1079780

9.3300165

1.0526420 1

1.0358480

1.0460747

1.0466375

1.0468856

1.0469795

1.0470331

1.0470672

1.0470906

1.0471076

1.0471203

1.0471302
-78-

Table 65

er = 5 mhos/meter < 2= 80

Re t

s Im t

s u Argrs

f = 60 kiloc ycles

4.150583J - 1 6.9747872 - i 8.1163415 - 1 1.0339995

1 .29242C>j 2.2317957 2.5790040 1.0458906

1.9151299 3.3125585 3.8263255 1.0466056

2.4476372 4.2359648 4.8922971 1.0468344

2.9271361 5. 0669775 5.8516995 1.0469437

3. 3699485 3.8343415 6.7376625 1.0470061

3.7852941 6.5540246 7.5685990 1.0470458

4.1789451 7.2360648 8.3560885 1.0470731

4.5546336 7.8872946 9.1060145 1.0470926

4.9157908 5.5126308 9.6300500 1.0471076

5.2639408 9.1157612 1.^526452 1 1.0471191

f = 70 kiloc ycles

4.1653179 - 1 o, 9710637 - 1 6.1206900 - 1 1.0322056

1.2928822 2.2316726 2.5791291 1.0457116

1.9154414 3.3124755 3.8264094 1.0465225

2.4479306 4.2356996 4.6923624 1.0467646

2.9273396 3.0669230 5.6517540 1.0469089

3.3701^5j 3.8^42942 6.7377100 1.0469799

3. 7654515 6. 5539624 7.3666410 1.0470250

4. 179067S 7.2360266 8.3561270 1.0470560

4.3549646 7.3872595 9. 1080495 1.0470784

4.9159121 5.5125984 9.8300825 1.0470953

5 .2640 540 9.113 7309 1.0526482 1 1.0471064

f = 80 kiloc ycles

4.1797J-+4 - 1 0.9674558 - 1 8.1249845 - 1 1. C5045o0

1.2933335 2.2315524 2.5792514 1.0455369

1.9157456 3.3123941 3.3264914 1.0464430

2.^481687 ^.23583^1 4.8924265 1.0467360

2.9275386 5.0666698 5.8516075 1 . 0466750

3.3702980 5.8342460 6.7^77565 i. 0469542

3.7856053 6.5539413 7.5686825 1.0470047

4. 179227^ 7.2359893 8.3561640 1.0470394

4.5550923 7.8872253 9.1080835 1.0470644

4.916030<+ 6.5125667 9.6301145 1.0470333

5.264164o 9.1157014 1.0526512 1 1.0470979

f = 90 kilocycles

4.193793^ - 1 6.9639493 - 1 6.1292370 - 1 1.0287500

1 1.2937756 2.2314346 2.5793714 1.0433657

2 1.9160434 3.3123145 3.8265715 1.0463652

3 2.4464017 4.2357738 4.8924893 1.0466884

4 2.9277333 5.0668177 5.8518600 1.0468417

5 3.3704671 3.6342028 6.7376015 1.04-69291

6 3.7857558 6.5539010 7.5687230 1.0469846

7 4.1793634 7.2359527 6.3562005 1.0470230

8 4/.5552174 7.8871918 9.1081175 1.0470507

9 4.9161465 8.3125356 9.8301455 1.0470715

.0 5.2642728 9.1156724 1.U526541 i 1.047087b
-79-

Table 66.

5 mhos/meter -« -, = 80

Re t

s Im t

s w AreB t

s

f = 100 kil ocycles

4.2076221 - 1 6.9605328 - 1 8.1334555 - 1 1.0270767

1.2942094 2.2313196 2.5794894 1.0451976

1.9163358 3.3122365 3.8266505 1.0462889

2.4486303 4.2357127 4.8925507 1.0466417

2.9279245 5.0667666 5.8519115 1.0466091

3.3706331 5.8341583 6.7378460 1.0469045

3.7859036 6.5538614 7.5687625 1.0469653

4.1794972 7.2359170 8.3562365 1.0470070

4.5553402 7.8871589 9.1081500 1.0470372

4.9162601 8.5125052 9.8301760 1.0470599

5.2643791 9.1156440 1.0526569 1 1.0470775

12

34

56

7

89 10

f = 20 kilocycles

4.3362200 - 1 6.9299709 - 1 8.1747965 - 1 1.0116796

1 1.2982457 2.2302515 2.5805937 1.0436372

2 1.9190555 3.3115123 3.8273866 1.0455791

3 2.4507572 4.2351451 4.8931243 1.0462073

4 2.9297026 5.0662916 5.8523900 1.0465054

5 3.3721774 5.8337456 6.7382615 1.0466754

6 3.7872783 6.5534938 7.5691320 1.0467838

7 4.1807423 7.2355839 8.3565710 1.0466581

8 4.5564825 7.8868533 9.1084570 1.0469118

9 4.9173185 8.5122220 9.8304600 i. 046952:)

10 5.2653674 9.1153795 l.u526835 1 1.0469836

f = 300 kilocycles

4.4539773 - 1 6.9036916 - 1 8.2159380 - 1 9.9784517 - 1

1 1.3019449 2.2292795 2.5816173 1.0422094

2 1.9215479 3.3108509 3.8280648 1.0449291

3 2.4527062 4.2346263 4.8936518 1.0458095

4 2.9313320 5.0658572 5.8528300 1.0462272

5 3.3735924 5.8333680 6.7366430 1.0464636

6 3.7885379 6.5531575 7.5694710 1.0466174

7 4.1818832 7.2352792 8.3568760 1.0467216

8 4.5575292 7.8865737 9.1087385 1.0467969

9 4.9182883 6.5119628 9.8307210 1.0468537

10 5.2662730 9.1151374 1.0527078 1 1.0468977

f = 400 kilocycles

4.5651663 - 1 6.8809325 - 1 8.2576010 - i 9. 6502277 - 1 1 1.3054419 2.2283672 2.5825954 1.0408620

2 1.9239037 3.3102280 3.8287092 i. 0443153

3 2.4545482 4.2341371 4.8941520 1.0454337

4 2.9328718 5.0654474 5.8532465 1.0459645

5 3.3749297 5.8330116 6.7390040 1.046267^

6 3.7897282 6.5528401 7.5697920 1.0464603

7 4.1829614 7.2349915 8.3571685 1.0465927

8 4.5585162 7.8863098 9.1090050 i. 0466685

9 4.9192047 8.5117181 9.6309675 1.0467605

10 5.2671288 9.1149088 1.0527308 1 1.0468164
-80- Table 67.

(T = 5 mhos/meter e = 80

Re t

s Im t

s M Arg t 8 s

f = 500 kilocycles

4.6716794 - 1 6.8604507 - 1 8.3000225 - 1 9.7296463

1.3087966 2.2274982 2.5835435 1.0395716

1.9261632 3.3096328 3.8293308 1.0437270

2.4563149 4.233669C 4.8946334 1.0450735

2.934348b 5.0650551 5.8536470 1.0457126

3.3762121 5.3326705 6.7393510 1.0460773

3.7908697 6.5525361 7.5701005 1.0463097

4. 1839951 7.2347161 8.3574475 1.0464692

4.5594667 7.8860568 9.1092605 1.0465844

4, 9200835 8.5114839 9.8312045 1.0466712

5.2679493 9. 1146899 1.0527529 1 1.0467385

4.6716794 - 1 6.8604507 - 1 8.3000225 - 1 9.7296463 - 1

12

34

56

78

9 10

f = 600 kilocycles

4.7745773 - 1 6.8420646 - 1 8.3432870 - 1 9.6153026 - 1

1 1.3120427 2.2266633 2.5844701 1.0383250

2 1.9283493 3.3090592 3.8299353 1.0431584

3 2.4580240 4.2332177 4.8951010 1.0447252

4 2.9357770 5.0646766 5.8540360 1.0454690

5 3.3774525 5.8323411 6.7396875 1.0458935

6 3.7919739 6.5522425 7.5703995 1.0461640

7 4.184995i 7.2344500 8.3577180 1.0463496

8 4.5603841 7.8858126 9.1095085 1.0464838

9 4.9209333 8.5112574 9.8314335 1. 0465848

10 5.268743^ 9.1144785 1.0527743 1 1.0466632

f = 700 kilocycles

4.8745343 - 1 6.8255191 - 1 8.3874190 - 1 9.5062797 - 1 1 1.315202i 2.2258566 2.5853609 1.0371137

2 1.9304762 3.3085031 3.8305262 1.0426055

3 2.4596867 ^.2327795 4.8955573 1.0443866

4 2.9371666 5.0643089 5.8544150 1.0452321

5 3.3786592 5.8320212 6.7400155 1.0457148

6 3.7930479 6.5519574 7.5706905 1.0460224

7 4.1859679 7.2341915 8.3579815 1.0462334

8 4.5612764 7.6855752 9.1097495 1.0463860

9 4.921760^ 8.511037<+ 9.8316570 1.0465003

10 5.2695151 V. 1142729 1.0527932 1 1.0465699

f = 800 kilocycles

4.9720136 - 1 6.8106298 - 1 8.4324135 - 1 9.4019426 - 1

1 1.3182895 2.2250743 2.5862797 1.03593.21

2 1.9325543 3.3079619 3.8311067 1.0420658

3 2.4613100 4.2323527 4.6960045 1.0440560

4 2.9385241 5.0639508 5.6547865 1.0450009

5 3.3798378 5.8317093 6.7403365 1.0455403

6 3.7940970 6.5516794 7.5709760 1.0458641

7 4.1369180 7.2339394 8.3562390 1.0461199

8 4.562148 1 -' 7.8853438 9.1099860 1.0462904

9 4.9225675 3.5108227 9.8313755 1.0464188

10 5.2702689 9.1140724 1.0528155 1 1.0465184
-81- Table 68.

r - E> mhos/meter 80

12

3*

56

78

9 10

Re t

5.0673519 - 1 1.3213158

1.93*5908

2.4-629023

2.9398541

3.3809925

3.79512*7

*. 1878*86

*. 5630017

*. 923358*

5.2710075

Im t

s ' s

J

f = 900 kilocycles

6.7972565 - 1 2.22*3128

3.307*337

*. 2319358

5.063600*

5.831*0**

6.551*07*

7.2336928

7.8851173

8.5106128

9.1138763

8.*782515 - 1 2.5871689

3.8316785

*.896***6

5.8551510

6.7*06520

7.5712555

8.358*920

9.1102175

9.8320895

1.0528355 1

Arg t

9.3018170 - 1 1.03*7757

1.0*1537*

1.0*37322

1.0**77**

1.0*5369*

1.0*57*86

1.0*60087

1.0*61969

1.0*63385

1.0*6**83

123*

56

7

8

9 10

5.1608031 - 1 1.32*2896

1.9365913

2.*6**655

2.9*11602

3.3821265

3.7961339

*. 1887625

*. 5636*00

*. 92*1351

5.2717327

f = 1000

6.7852881 - 1 2.2235705

3.3069170

*. 2315273

5.063257*

5.8311055

6.5511*09

7.233*510

7.88*8953

8.510*06°

9.1136839

kilocycles

8.52*9060 - 1 2.5880512

3.8322*30

*. 8968779

5.8555100

6.7*09620

7.5715310

8.3587*05

9. 110**50

9.8323005

1.0528552 1

9.2055377 - 1 1.0336*13

1.0*10187

1.0*3*1*3

1.0**5521

1.0*52016

1.0*56156

1.0*58996

1.0*61050

1.0*62596

1.0*63796

f = 1100 kilocycles

12

3*

56

7

89 10

5.2525658 - 1 1.3272173

1.9385601

2.*660037

2.9*2**52

3.3832*22

3.7971268

*. 1896617

*. 56*66*7

*. 92*8991

5.272**61

6.77*63*3

2.2228*53

3.30 6*105

*. 2311267

5.0629205

5.8308120

6.5506790

7.2332134

7.88*6772

8.51020*7

9.113*9*6

8.5723*60 - 1 2.5889278

3.8328012

*. 8973061

5.85586*5

6.7*12660

7.5718020

8.3589855

9.1106695

9.8325080

1.05287*6 1

9.112811* - 1 1.032526*

1.0*05087

1.0*31016

1.0**333*

1.0*50366

1.0*5*8*8

1.0*57923

1.0*601*7

1.0*61820

1.0*63119

f = 1200 kilocycles

12

3*

56

7

8

9 10

5.3*27983 - 1 1.33010*2

1.9*05009

2.4675197

2.9*37116

3.38*3*16

3.7981051

*. 1905*75

*. 565*773

*. 9256519

5.2731*90

6.7652196 - 1 2.2221358

3.3059135

*. 2307329

5.0625892

5.830523*

6.550621*

7.2329797

7.88**625

8.5100056

9.1133088

8.6205390 - 1 2.5898002

3.83335*7

*. 6977296

5.85621*5

6.7*15705

7.5720700

8.3592275

9.1108910

9.8327130

1.0528937 1

9.0233975 - 1 1.031*289

1.0*0006*

1.0*27938

1.0**1180

1.0**87*1

1.0*53560

1.0*56866

1.0*59257

1.0*61056

1.0*62*53
-82-

Table 69.

er = 5 mhos/meter 80

Re t Im t Arg t

12

34

56

7

89 10

5.4316290

1.3329547

1.9424166

2.4690158

2.9449617

3. 3654263

3.7990705

4. 1914216

4.5662790

4.9263946

5.273642j

6.7569602

2.2214408

3,3054247

'+•230:5455 2.0622633

5.8302391

6.5503678

7.2327497

7.8842511

b. 5096096

9.1131256

f = 1300 kilocycles

1 3.6694505

2.3906693

3.6339033

4.8981469

5.8565610

6.7418690

7.5723350

8.3594665

9.1111095

9.8329155

1.0529125

- 1 8.9370946 - 1.0303470

1.0395109

1.0424901

1.0439056

1.0447138

i. 0452289

1.0455323

1.0458379

1.0460303

1.0461796

f = 1400 kilocycles

12

34

56

7

8

9 10

3.5191651

1.3357723

1.9443J96

2.4704939

2.9461963

3.3864960

3.8000239

4.1922848

4. 56707o9

4. 9271281

5.2745271

- 1 6.7496602

2.2207595

3.3049441

4.2299639

5.0619420

5.8299589

6.5501178

7.2325227

7.8840426

6.5096161

9.1129449

3.7190480 - 1 2.5915364

3.6344466

4.6965646

5.6569045

6*7421650

7.5725970

3.3597030

9.1113260

9.8331155

1.0529312 1

6.8537260

1.0292794

1.0390218

1.0421903

1.0436956

1.0445554

1.0451034

1.0454794

1.0457512

1.0459559

1.0461147

- 1

f = 1500 kilocycles

1234

56

73

9 10

5.6054957 - 1 1.3385606

1.9461619

2.4719556

2.9474170

3.3675575

3.8009663

4.1931384

4.5678536

4.9278531

5.2752041

6.7436123 - 1 2.2200909

3.3044709

4,2295878

5.0616252

5.8296826

6.5498711

7.2322988

7.8838370

8.5094253

9.1127665

8.7692960 - 1 2.5924020

3,6349905

4,8989774

5,6572450

6,7424585

7,5728565

8.3599375

9.1115405

9.8333135

1.0529496 1

6.7731492

1.0282249

1.0385384

1,0418939

1,0434884

1.0443990

1.0449794

1.0453776

1,0456656

1.0458823

1.0460506

- 1

1234

56

78

9 10

5.6906974

1.3413218

1.9480354

2.4734024

2.9486250

3.3886059

3.8018993

4.1939827

4.5686279

4.9285704

5.2758738

- 1

f = 1600 kilocycles

6.7387930 - 1 8.8201685 - 1 2.2194347

3.3040045

4.2292169

5.0613124

5.8294097

6.5496273

7.2320776

7.8836337

8.5092367

9.1125903

2.5932672

3.8355297

4.6993672

5.8575825

6,7427490

7.5731140

8.3601695

9.1117530

9.8335100

1.0529680

8.6952241 - 1.0271823

1.0380603

1.0416008

1.0432834

1.0442442

1.0448567

1.0452770

1.0455809

1.0458096

1.0459872
-83-

Table 70.

cr - 5 mhos/meter . =80

Re t Im t Arg t

f = 1700 kilocycles

12

34

56

7

8

9 10

5.7748350 - 1 1. 3440584

1.9498716

2.4748353

2.9498215

3.3896438

3.8028228

4.1948189

4.5693947

4.9292806

5.2765369

6.7347642 - 1 2.2187899

3.3035446

4.2288507

5.0610037

5.8291401

6.5493865

7.2318591

7.8834327

8.5090503

9.1124160

8.8716270 - 1 2.5941322

3.8360665

4.8997947

5.8579160

6.7430380

7.5733695

8.3604005

9.1119635

9.8337045

1.0529861 1

8.6198347 - i 1.0261509

1.0375871

1.0413106

1.0430803

1.0440910

1.0447353

1.0451773

1.0454970

1.0457376

1.0459244

f = 1800 kilocycles

12

34

56

7

89 10

5.8579650 - 1 6.7316917 - 1 1.3467724 2.2181561

1.9516919 3.3030912

2.4762555 4.2284891

2.9510070 5.0606984

3.3906725 5.8288737

3.8037379 6.5491485

4.1956472 7.2316428

4.5701544 7.8832341

4.9299842 8.5088661

5.2771937 9.1122436

8.9236445 - 1 2.5949976

3.8366016

4.9002001

5.8582515

6.7433250

7.5736230

8.3606290

9.1121725

9.8338980

1.0530041 1

8.5466738 - 1 1.0251299

1.0371184

1.0410232

1.0428793

1.0439393

1.0446150

1.0450786

1.0454139

1.0456663

1.0458622

f = 1900 kilocycles

12

34

56

7

8

9 10

5.9401362 - 1 1.3494654

1.9534973

2.4776638

2.9521826

3.3916924

3.8046449

4.1964684'

4.5709074

4.9306818

5.2778449

6.7295448 - 1 2.2175330

3.3026435

4.2281316

5.0603967

5.8286099

6.5489129

7.2314288

7.8830375

8.5086837

9.1120733

8.9761905 - 1 2.5958639

3.8371352

4.9006036

5.8585630

6.7436095

7.5738750

8.3608560

9.1123805

9.8340900

1.0530220 1

8.4762458 - 1 1.0241185

1.0366540

1.0407383

1.0426800

1.0437889

1.0444958

1.0449808

1.0453316

1.0455956

1.0458005

1234

56

7

8910

f = 2000 kilocycles

6.021392 - 1 6i728294 - 1 9.029237 - 1 1.3521393 2.2169199 2.5967315

1.9552891 3.3022014 3.8376673

2.4790612 4.2277783 4.9010053

2.9533488 5.0600983 5.8589130

3.3927040 5.8283491 6.7438930

3.8055448 6.5486798 7.5741255

4.1972828 7.2312173 8.3610815

4.5716542 7.8828423 9.1125865

4.9313734 8.5085029 9.8342800

5.2784905 9.1119044 1.0530397 1

6.407861 - 1 1.0231161

1.0361935

1.0404559

1.0424824

1.0436398

1.0443776

1.0448839

1.0452500

1.0455256

1.0457395
-84-

Table 71.

1234

56

76

9 10

cr = 5 mhos/meter

Re t Im t

6.4151331,

1. 365267^

1. 9640 731

^•^59036*

3.3976339

3.809948.L

4. ^01267o

4. 3733077

4. 93^7366

3.^8164b3

- 1

<2

I'. I

80

f = 2500 kilocycles

6.7346464

2.21399o3

3. 3000685

4. 2260670

3.036b496

3.8^ 70621

6.5473466

7.230lo74

7.881693b

o. 30 7b239

V. lilUb^i

- 1 9.3010425

2.6011041

3. 0403171

4.90299b3

5. bb034.su

6.745*910

7.3733595

b. 3621925

9. 1136010

9.b352163

1.0331^69

- 1

Ar g T c

8.0969137 - 1.0182225

1.0339423

1.0390 /30

1.04l3ibJ

1. 0429109

1.0437999

1.0444099

1.0448311

1.0451831

1. 045440b

12

34

56

78

9 10

6.790246

1.376064

1.972626

2.tV^3b^vJ

2.9646^64

3.4024b3b

3.8142217

4.2051342

4.37ob5i3

4.936U37o

5.2847103

6.760x97

2.211295

3.290050

4. 224436 I 3.03 72b33

3.6236bb6

6.5464599

7.2291991

('.8809662

0.5vb7 79u

9.110*917

3000 kilocycles

1 9.581634

2.b03560

3 .64*96 7 4.9049700

5.0621320

6. 7466663

7.5765710

8.3632bl5

9. 1145940

9.8361323

1.^33212*

- 1 7.831806

1.013491

1.031761

1.0377369

1.0403b02

1.0422046

1.0432403

1.043930o

1.0444b46

1.0446315

1.0451317

- 1

12

34

56

789 iO

7. 14682

1.39068

1.981009

2.4990 730

2.9700296

3.40 71610

3. 6le39t

/

4.208906*

4. 3623u9o

4. *4i236

/

3.26/6*7*

f = 3 500 kilocycles

6.60*99 - 1 Z. 20879

3.296134

4. 2**o 7b5

3.Q53V338

3.824/Oi i 6.5434U0

7.2282458

7.8eO1083

o. 50 3^b3 3 y. io*3*8*

9.66tt43

2.61013

3.843633

4.9069402

3.063/300

6. 7460263

7.3777680

o. 3643355

9. H3373J

V. 03 /0343

1.0 3 329b0

7.60616

1.00869

1.029633

1.03643**

1.0396b77

1. 0415163

1.0426949

1.0435035

1.0440683

1.0443*o4

1.0446700

f = 4000 kilocycles

i2

34

56

7

8

9 10

7.49217

1.40313

1.989265

2.305476

2

.

y73333o

3.4117706

3.822488U

4.212608*;

4. 30309*1

<+. V443 731 3.*90b23^>

- 1 6.86130

*»20b49

3.294311

<*.2*l3b0

3.03tb333

3. 623 3' 73 7 6.544400b

7.2273252

/«679*30 1 0.3031/23

* * loo /b7o

- 1 1.01394

2.61464

3. 646533

4.908910

3 . Ob334b0

o. /<+930t3

7.3769375

0.3634*10

9.11634*5

9. 6379*70

i.^3357b9

7.41489

1.00439

1.027532

i. 035154

1.03b7741

1.040b4*<*

1.04*lbi 1 1.043u636

1.0437201

1.044*124

1. 0443943

- 1
-85-

Table 72.

« = 5 mhos/meter <2 = 8 °

Re t Im t Art

12

34

567

89 10

f = 4500 kilocycles

7.82115 - 1 6.93446 - 1 1.04526

1.41549 2.20437 2.61970

1.997427 3.292578 3.851076

2.511797 4.219943 4.910910

2.9806051 5.0534198 5.8669465

3.4163104 5.8224834 6.7507400

3.8265166 6.5434197 7.5801430

4.2162485 7.2264281 8.3664815

4.5890324 7.8784324 9.1175060

4.9474588 8.5044045 9.8388130

5.2934988 9.1080679 1.0534611 1

7.25379 - 1 9.99976 - 1 1.025505

1.033899

1.0378962

1.0401806

1.0416369

1.0426360

1.0433585

1.0439022

1.0443242

f - 5000 kilocycles

12

34

5

6

7

89 10

8.1363 - 1 1.42778

2.00552

2.518050

2.985794

3.4207934

3.8304924

4.2198392

4.5923192

4.9504981

5.2963328

7.0208 - 1 2.20244

3.29093

4.218562

5.052227

5.8214272

6.5424678

7.2255585

7.8776292

8.5036566

9.1073668

1.0747

2.62475

3.85387

4.912925

5.868557

6.7520990

7.5813295

8.3675410

9.1184670

9.8396955

1.0535430 1

7.1193 - 1 9.95638 - 1 1.02349

1.032661

1.037031

1.0395287

1.0411208

1.0422130

1.0430027

1.0435970

1.0440581

f = 6000 kilocycles

12

34

5

67

89 10

8.7264

1.4523

2.02159

2.530419

2.9960 36

3.429631

3.838322

4.2269049

4.5987825

4.9564724

5.3019005

- 1 7.2298

2.1992

3.28789

4.215960

5.049959

5.819411

6.540644

7.2238888

7.8760851

8.5022171

9.1060157

- 1 1.1332

2.6355

3.85967

4.917046

5.871825

6.754844

7.583716

8.3696650

9.1203900

9.8414590

1.0537062

6.9188 - 1 9.8715 - 1 1.01952

1.03023

1.035333

1.038250

1.040108

1.0413834

1.0423052

1.0429988

1.0435369

12

34

56

7

89 10

9.2637 - 1 1.4770

2.03760

2.54269

3.006164

3.438351

3.8460 36

4.233858

4.6051366

4.9623409

5.3073661

f = 7000 kilocycles

7.4818 - 1 2.1967

3.28519

4.21357

5.047845

5.817515

6.538922

7.222306

7.8746171

8.5008457

9.1047268

1.1908

2.6471

3.86578

4.92132

5.875182

6.757643

7.586138

8.371813

9.1223285

9.8432315

1.0538700

6.7939 - 1 9.7885 - 1 1.01563

1.02784

1.033667

1.036995

1.039116

1.040571

1.0416226

1.0424135

1.0430272
12

34

56

7

8

9 10

-8bTable 73.

cr = 5 mhos/meter e 2

= 80

Re t

s Im t

s KI Arg5 t

s

f = 8000 kilocycles

9.748 1 7.771 - 1 1.247 6.730 - 1 1.5020 2.1952 2.6598 9.7072 - 1 2.0537 3.2828 3.8723 1.0118

2.55493 4.21139 4.92580 1.02549

3.01624 5.04588 5.87866 1.03202

3,447004 5.815736 6.760519 1.035760

3.853677 6.537295 7.588613 1.038140

4.240736 7.220804 8.373999 1.039772

4.611415 7.873221 9.124295 1.040951

4.968135 8.499538 9.845025 1.041838

5.312759 9.103495 1.054035 1 1.042526

f = 9000 kilocycles

12

34

5

6

7

89 10

1.018 8.092 L 1.300 6.717 - 1 1.528 2.195 2.674 9.627 - 1 2.070 3.2809 3.8792 1.0080

2.56721 4.20943 4.93050 1.02315

3.02630 5.04407 5.88227 1.03040

3.45563 5.81407 6.76349 1.03454

3.861278 6.535762 7.591157 1.037175

4.247568 7.219382 8.376235 1.038983

4.617646 7.871893 9.126300 1.040289

4.973879 8.498291 9.846849 1.041271

5.318101 9.102319 1.054203 L 1.042032

f = 10000 kilocycles

12

34

56

7

89 10

1.055 8.441 - ;I 1.351 6.746 - 1 1.554 2.195 2.689 9.549 - 1 2.0863 3.2793 3.8867 1.0042

2.5796 4.2077 4.9355 1.0208

3.03640 5.04242 5.88606 1.02878

3.46426 5.81253 6.76658 1.03332

3.86887 6.53432 7.59378 1*03622

4.254379 7.218040 8.378535 1.038201

4.623849 7.870634 9.128355 1.039633

4.979592 8.497104 9.848712 1.040709

5.323409 9.101195 1.054374 L 1.041544
USCOAW-NBS-0L