CT_SAT_Calculator - IEEE Version

8/13/2019 CT_SAT_Calculator - IEEE Version

http://slidepdf.com/reader/full/ctsatcalculator-ieee-version 1/287

CONTENTS:

CT Saturation Calculator

Introduction Web Site: www.nxtphase.com

Instructions Email: [email protected]

About NxtPhase

ASSUMPTIONS: CT core losses and sec'y reactance zero (thru-hole primary). Frequency: 60 Hz

CT primary current is zero for t<0. CT is 5 amp nominal Time step = 1/12,000 second.

INPUT PARAMETERS: ENTER: CALCULATED:

Inverse of sat. curve slope = S = 22 --- Rt = Total burden resistanc

RMS voltage at 10A exc. current = Vs = 400 volts rms pf = Total burden power fac

Turns ratio = n2/1= N = 240 --- Zb = Total burden impedanc

Winding resistance = Rw = 0.000 ohms Tau1 = System time constant

Burden resistance = Rb = 4.000 ohms Lamsat = Peak flux-linkages cor

Burden reactance = Xb = 2.000 ohms w = Radian freq =

System X/R ratio = XoverR = 12.0 --- RP = Ie rms-to-peak ratio =

Per unit offset in primary current = Off = 1.00 -1<Off<1 A = Coefficient in instantan

Per unit remanence (based on Vs) = lrem 0.00 --- versus lambda curv

Symmetrical primary fault current = Ip = 12,000 amps rms dt = ime step =

Lb = Burden inductance =

Thick line Ideal (blue) and actual (black) secondary current in amps vs time in seconds.

Thin lines:Ideal (blue) and actual (black) secondary current extracted fundamental rms value, using a simple DF

To determine the effect of saturation on a particular digital relay, one must have "models" for the blocks shown below:

Calculation of Mag. Of Fund'l Calculation of Mag

is = IDEAL ACTUAL

step time pri cur/N fl-linkages exc curr sec cur d/dt(is)

number t i1(t)/N l(t) ie(t) Dl(t) i2(t) I1(t)*sin I1(t)*cos I1MAG I2(t)*sin I2(t)*cos

seconds amps Wb-turns amps Wb-turns amps amps/s

TIME IDEAL ACTUAL

-200 -0.0167 0.000 0.00010 0.000 -0.00166 0.000 -3750 0

-199 -0.0166 0.000 0.00010 0.000 -0.00128 0.000 -2903 0

-198 -0.0165 0.000 0.00010 0.000 -0.00091 0.000 -2057 0

-197 -0.0164 0.000 0.00010 0.000 -0.00054 0.000 -1212 0

-196 -0.0163 0.000 0.00010 0.000 -0.00016 0.000 -370 0

-195 -0.0163 0.000 0.00010 0.000 0.00021 0.000 469 0

-194 -0.0162 0.000 0.00010 0.000 0.00058 0.000 1304 0

-193 -0.0161 0.000 0.00010 0.000 0.00094 0.000 2133 0

-192 -0.0160 0.000 0.00010 0.000 0.00131 0.000 2957 0

-191 -0.0159 0.000 0.00010 0.000 0.00167 0.000 3774 0

-190 -0.0158 0.000 0.00010 0.000 0.00203 0.000 4584 0

-189 -0.0158 0.000 0.00010 0.000 0.00238 0.000 5386 0

-188 -0.0157 0.000 0.00010 0.000 0.00273 0.000 6179 0

-100

-50

0

50

100

150

-0.017 0.000 0.017 0.033 0.050 0.067 0.083 0.100 0.117 0


ACTUALSECONDARY

CURRENT

(FROM ABOVE)

ANTI-ALIASINGFILTER

DISCRETE FOURIERTRANSFORM?

PEA K DETECTION?DC-OFFSET REMOVAL?RMS DETERMINATION?

RELAYFUNCTION

ALGORITHM

ULTIMATEEFFECT

CORRECTTRIP?

V s

amps rms

slope= 1/S

log-log plot,equal

decadespacing

voltsrms

I e

mfgr'sdataV

e

10

Saturation Curve

Based on Excel 97 SR-2 Spread Sheet. See IEEE publication C37.110: "IEEEGuide for the Application of CTs Used for Protective Relaying Purposes"[email protected]

mailto:[email protected]?subject=CT%20Saturation%20Application

mailto:[email protected]?subject=CT%20Saturation%20Application



-187 -0.0156 0.000 0.00010 0.000 0.00308 0.000 6962 0

-186 -0.0155 0.000 0.00010 0.000 0.00342 0.000 7735 0

-185 -0.0154 0.000 0.00010 0.000 0.00376 0.000 8497 0

-184 -0.0153 0.000 0.00010 0.000 0.00409 0.000 9246 0

-183 -0.0153 0.000 0.00010 0.000 0.00441 0.000 9983 0

-182 -0.0152 0.000 0.00010 0.000 0.00473 0.000 10706 0

-181 -0.0151 0.000 0.00010 0.000 0.00505 0.000 11416 0

-180 -0.0150 0.000 0.00010 0.000 0.00535 0.000 12110 0

-179 -0.0149 0.000 0.00010 0.000 0.00565 0.000 12789 0

-178 -0.0148 0.000 0.00010 0.000 0.00595 0.000 13452 0

-177 -0.0148 0.000 0.00010 0.000 0.00623 0.000 14098 0-176 -0.0147 0.000 0.00010 0.000 0.00651 0.000 14727 0

-175 -0.0146 0.000 0.00010 0.000 0.00678 0.000 15337 0

-174 -0.0145 0.000 0.00010 0.000 0.00704 0.000 15929 0

-173 -0.0144 0.000 0.00010 0.000 0.00730 0.000 16502 0

-172 -0.0143 0.000 0.00010 0.000 0.00754 0.000 17055 0

-171 -0.0143 0.000 0.00010 0.000 0.00778 0.000 17588 0

-170 -0.0142 0.000 0.00010 0.000 0.00800 0.000 18099 0

-169 -0.0141 0.000 0.00010 0.000 0.00822 0.000 18590 0

-168 -0.0140 0.000 0.00010 0.000 0.00843 0.000 19059 0

-167 -0.0139 0.000 0.00010 0.000 0.00862 0.000 19505 0

-166 -0.0138 0.000 0.00010 0.000 0.00881 0.000 19929 0

-165 -0.0138 0.000 0.00010 0.000 0.00899 0.000 20330 0

-164 -0.0137 0.000 0.00010 0.000 0.00915 0.000 20707 0

-163 -0.0136 0.000 0.00010 0.000 0.00931 0.000 21061 0

-162 -0.0135 0.000 0.00010 0.000 0.00946 0.000 21390 0-161 -0.0134 0.000 0.00010 0.000 0.00959 0.000 21695 0

-160 -0.0133 0.000 0.00010 0.000 0.00972 0.000 21975 0

-159 -0.0133 0.000 0.00010 0.000 0.00983 0.000 22230 0

-158 -0.0132 0.000 0.00010 0.000 0.00993 0.000 22460 0

-157 -0.0131 0.000 0.00010 0.000 0.01002 0.000 22665 0

-156 -0.0130 0.000 0.00010 0.000 0.01010 0.000 22843 0

-155 -0.0129 0.000 0.00010 0.000 0.01017 0.000 22996 0

-154 -0.0128 0.000 0.00010 0.000 0.01022 0.000 23123 0

-153 -0.0128 0.000 0.00010 0.000 0.01027 0.000 23223 0

-152 -0.0127 0.000 0.00010 0.000 0.01030 0.000 23297 0

-151 -0.0126 0.000 0.00010 0.000 0.01032 0.000 23346 0

-150 -0.0125 0.000 0.00010 0.000 0.01033 0.000 23367 0

-149 -0.0124 0.000 0.00010 0.000 0.01033 0.000 23363 0

-148 -0.0123 0.000 0.00010 0.000 0.01031 0.000 23332 0

-147 -0.0123 0.000 0.00010 0.000 0.01029 0.000 23275 0

-146 -0.0122 0.000 0.00010 0.000 0.01025 0.000 23191 0

-145 -0.0121 0.000 0.00010 0.000 0.01020 0.000 23082 0

-144 -0.0120 0.000 0.00010 0.000 0.01014 0.000 22946 0

-143 -0.0119 0.000 0.00010 0.000 0.01007 0.000 22785 0

-142 -0.0118 0.000 0.00010 0.000 0.00999 0.000 22598 0

-141 -0.0118 0.000 0.00010 0.000 0.00990 0.000 22385 0

-140 -0.0117 0.000 0.00010 0.000 0.00979 0.000 22148 0

-139 -0.0116 0.000 0.00010 0.000 0.00968 0.000 21885 0

-138 -0.0115 0.000 0.00010 0.000 0.00955 0.000 21597 0

-137 -0.0114 0.000 0.00010 0.000 0.00941 0.000 21285 0

-136 -0.0113 0.000 0.00010 0.000 0.00926 0.000 20949 0

-135 -0.0113 0.000 0.00010 0.000 0.00910 0.000 20589 0

-134 -0.0112 0.000 0.00010 0.000 0.00893 0.000 20205 0

-133 -0.0111 0.000 0.00010 0.000 0.00875 0.000 19798 0

-132 -0.0110 0.000 0.00010 0.000 0.00856 0.000 19369 0

-131 -0.0109 0.000 0.00010 0.000 0.00836 0.000 18917 0

-130 -0.0108 0.000 0.00010 0.000 0.00815 0.000 18444 0

-129 -0.0108 0.000 0.00010 0.000 0.00794 0.000 17949 0

-128 -0.0107 0.000 0.00010 0.000 0.00771 0.000 17434 0

-127 -0.0106 0.000 0.00010 0.000 0.00747 0.000 16898 0

-126 -0.0105 0.000 0.00010 0.000 0.00723 0.000 16343 0

-125 -0.0104 0.000 0.00010 0.000 0.00697 0.000 15768 0

-124 -0.0103 0.000 0.00010 0.000 0.00671 0.000 15175 0

-123 -0.0103 0.000 0.00010 0.000 0.00644 0.000 14563 0

-122 -0.0102 0.000 0.00010 0.000 0.00616 0.000 13935 0

-121 -0.0101 0.000 0.00010 0.000 0.00588 0.000 13289 0

-120 -0.0100 0.000 0.00010 0.000 0.00558 0.000 12627 0

-119 -0.0099 0.000 0.00010 0.000 0.00528 0.000 11950 0



-118 -0.0098 0.000 0.00010 0.000 0.00498 0.000 11258 0

-117 -0.0098 0.000 0.00010 0.000 0.00467 0.000 10552 0

-116 -0.0097 0.000 0.00010 0.000 0.00435 0.000 9833 0

-115 -0.0096 0.000 0.00010 0.000 0.00402 0.000 9100 0

-114 -0.0095 0.000 0.00010 0.000 0.00369 0.000 8356 0

-113 -0.0094 0.000 0.00010 0.000 0.00336 0.000 7601 0

-112 -0.0093 0.000 0.00010 0.000 0.00302 0.000 6835 0

-111 -0.0093 0.000 0.00010 0.000 0.00268 0.000 6059 0

-110 -0.0092 0.000 0.00010 0.000 0.00233 0.000 5275 0

-109 -0.0091 0.000 0.00010 0.000 0.00198 0.000 4482 0

-108 -0.0090 0.000 0.00010 0.000 0.00163 0.000 3682 0-107 -0.0089 0.000 0.00010 0.000 0.00127 0.000 2875 0

-106 -0.0088 0.000 0.00010 0.000 0.00091 0.000 2063 0

-105 -0.0088 0.000 0.00010 0.000 0.00055 0.000 1246 0

-104 -0.0087 0.000 0.00010 0.000 0.00019 0.000 424 0

-103 -0.0086 0.000 0.00010 0.000 -0.00018 0.000 -400 0

-102 -0.0085 0.000 0.00010 0.000 -0.00054 0.000 -1228 0

-101 -0.0084 0.000 0.00010 0.000 -0.00091 0.000 -2056 0

-100 -0.0083 0.000 0.00010 0.000 -0.00128 0.000 -2886 0

-99 -0.0083 0.000 0.00010 0.000 -0.00164 0.000 -3716 0

-98 -0.0082 0.000 0.00010 0.000 -0.00201 0.000 -4545 0

-97 -0.0081 0.000 0.00010 0.000 -0.00238 0.000 -5372 0

-96 -0.0080 0.000 0.00010 0.000 -0.00274 0.000 -6197 0

-95 -0.0079 0.000 0.00010 0.000 -0.00310 0.000 -7019 0

-94 -0.0078 0.000 0.00010 0.000 -0.00346 0.000 -7836 0

-93 -0.0078 0.000 0.00010 0.000 -0.00382 0.000 -8649 0-92 -0.0077 0.000 0.00010 0.000 -0.00418 0.000 -9456 0

-91 -0.0076 0.000 0.00010 0.000 -0.00453 0.000 -10256 0

-90 -0.0075 0.000 0.00010 0.000 -0.00488 0.000 -11049 0

-89 -0.0074 0.000 0.00010 0.000 -0.00523 0.000 -11834 0

-88 -0.0073 0.000 0.00010 0.000 -0.00557 0.000 -12610 0

-87 -0.0073 0.000 0.00010 0.000 -0.00591 0.000 -13377 0

-86 -0.0072 0.000 0.00010 0.000 -0.00625 0.000 -14132 0

-85 -0.0071 0.000 0.00010 0.000 -0.00658 0.000 -14877 0

-84 -0.0070 0.000 0.00010 0.000 -0.00690 0.000 -15610 0

-83 -0.0069 0.000 0.00010 0.000 -0.00722 0.000 -16330 0

-82 -0.0068 0.000 0.00010 0.000 -0.00753 0.000 -17037 0

-81 -0.0068 0.000 0.00010 0.000 -0.00784 0.000 -17730 0

-80 -0.0067 0.000 0.00010 0.000 -0.00814 0.000 -18408 0

-79 -0.0066 0.000 0.00010 0.000 -0.00843 0.000 -19070 0

-78 -0.0065 0.000 0.00010 0.000 -0.00872 0.000 -19717 0

-77 -0.0064 0.000 0.00010 0.000 -0.00900 0.000 -20346 0

-76 -0.0063 0.000 0.00010 0.000 -0.00927 0.000 -20959 0

-75 -0.0063 0.000 0.00010 0.000 -0.00953 0.000 -21553 0

-74 -0.0062 0.000 0.00010 0.000 -0.00978 0.000 -22129 0

-73 -0.0061 0.000 0.00010 0.000 -0.01003 0.000 -22685 0

-72 -0.0060 0.000 0.00010 0.000 -0.01027 0.000 -23222 0

-71 -0.0059 0.000 0.00010 0.000 -0.01049 0.000 -23739 0

-70 -0.0058 0.000 0.00010 0.000 -0.01071 0.000 -24234 0

-69 -0.0058 0.000 0.00010 0.000 -0.01092 0.000 -24709 0

-68 -0.0057 0.000 0.00010 0.000 -0.01112 0.000 -25162 0

-67 -0.0056 0.000 0.00010 0.000 -0.01131 0.000 -25592 0

-66 -0.0055 0.000 0.00010 0.000 -0.01149 0.000 -26000 0

-65 -0.0054 0.000 0.00010 0.000 -0.01166 0.000 -26385 0

-64 -0.0053 0.000 0.00010 0.000 -0.01182 0.000 -26747 0

-63 -0.0053 0.000 0.00010 0.000 -0.01197 0.000 -27085 0

-62 -0.0052 0.000 0.00010 0.000 -0.01211 0.000 -27398 0

-61 -0.0051 0.000 0.00010 0.000 -0.01224 0.000 -27687 0

-60 -0.0050 0.000 0.00010 0.000 -0.01236 0.000 -27952 0

-59 -0.0049 0.000 0.00010 0.000 -0.01246 0.000 -28191 0

-58 -0.0048 0.000 0.00010 0.000 -0.01256 0.000 -28405 0

-57 -0.0048 0.000 0.00010 0.000 -0.01264 0.000 -28594 0

-56 -0.0047 0.000 0.00010 0.000 -0.01271 0.000 -28757 0

-55 -0.0046 0.000 0.00010 0.000 -0.01277 0.000 -28895 0

-54 -0.0045 0.000 0.00010 0.000 -0.01282 0.000 -29006 0

-53 -0.0044 0.000 0.00010 0.000 -0.01286 0.000 -29091 0

-52 -0.0043 0.000 0.00010 0.000 -0.01289 0.000 -29150 0

-51 -0.0043 0.000 0.00010 0.000 -0.01290 0.000 -29183 0

-50 -0.0042 0.000 0.00010 0.000 -0.01290 0.000 -29189 0





20 0.0017 9.897 0.06578 0.000 0.00929 9.897 13561 6 8 0 6 8

21 0.0018 11.056 0.07508 0.000 0.00998 11.056 14236 7 9 0 7 9

22 0.0018 12.270 0.08505 0.000 0.01067 12.270 14895 8 9 1 8 9

23 0.0019 13.538 0.09573 0.000 0.01138 13.538 15537 9 10 1 9 10

24 0.0020 14.859 0.10711 0.000 0.01210 14.859 16162 10 11 1 10 11

25 0.0021 16.231 0.11921 0.000 0.01282 16.231 16769 11 11 1 11 11

26 0.0022 17.653 0.13203 0.000 0.01356 17.653 17357 13 12 1 13 12

27 0.0023 19.123 0.14559 0.000 0.01430 19.123 17926 14 13 1 14 13

28 0.0023 20.640 0.15989 0.000 0.01505 20.640 18475 16 13 1 16 13

29 0.0024 22.202 0.17494 0.000 0.01580 22.202 19004 18 14 1 18 14

30 0.0025 23.807 0.19074 0.000 0.01656 23.807 19513 19 14 2 19 1431 0.0026 25.453 0.20730 0.000 0.01733 25.453 19999 21 14 2 21 14

32 0.0027 27.139 0.22463 0.000 0.01809 27.139 20465 23 15 2 23 15

33 0.0028 28.863 0.24272 0.000 0.01886 28.863 20907 25 15 2 25 15

34 0.0028 30.623 0.26159 0.000 0.01964 30.623 21328 27 15 2 27 15

35 0.0029 32.417 0.28122 0.000 0.02041 32.417 21725 29 15 3 29 15

36 0.0030 34.244 0.30163 0.000 0.02118 34.244 22099 31 15 3 31 15

37 0.0031 36.100 0.32282 0.000 0.02196 36.100 22448 33 14 3 33 14

38 0.0032 37.984 0.34478 0.000 0.02273 37.984 22774 35 14 3 35 14

39 0.0033 39.895 0.36750 0.000 0.02350 39.895 23075 38 14 4 38 14

40 0.0033 41.829 0.39100 0.000 0.02427 41.829 23352 40 13 4 40 13

41 0.0034 43.786 0.41527 0.000 0.02503 43.786 23603 42 12 4 42 12

42 0.0035 45.763 0.44030 0.000 0.02579 45.763 23830 44 11 5 44 11

43 0.0036 47.757 0.46609 0.000 0.02654 47.757 24030 47 10 5 47 10

44 0.0037 49.767 0.49263 0.000 0.02729 49.767 24205 49 9 5 49 9

45 0.0038 51.791 0.51992 0.000 0.02803 51.791 24354 51 8 6 51 846 0.0038 53.825 0.54795 0.000 0.02876 53.825 24478 53 7 6 53 7

47 0.0039 55.869 0.57672 0.000 0.02949 55.869 24575 56 5 6 56 5

48 0.0040 57.920 0.60621 0.000 0.03020 57.920 24646 58 4 7 58 4

49 0.0041 59.976 0.63641 0.000 0.03091 59.976 24690 60 2 7 60 2

50 0.0042 62.035 0.66732 0.000 0.03160 62.035 24708 62 0 7 62 0

51 0.0043 64.094 0.69892 0.000 0.03228 64.094 24700 64 -2 8 64 -2

52 0.0043 66.151 0.73120 0.000 0.03295 66.151 24666 66 -4 8 66 -4

53 0.0044 68.204 0.76416 0.000 0.03361 68.204 24605 68 -6 9 68 -6

54 0.0045 70.251 0.79777 0.000 0.03426 70.251 24518 70 -9 9 70 -9

55 0.0046 72.290 0.83203 0.000 0.03489 72.289 24406 71 -11 10 71 -11

56 0.0047 74.318 0.86691 0.000 0.03550 74.318 24267 73 -14 10 73 -14

57 0.0048 76.333 0.90241 0.000 0.03610 76.333 24102 74 -17 11 74 -17

58 0.0048 78.334 0.93851 0.001 0.03668 78.333 23911 76 -19 11 76 -19

59 0.0049 80.318 0.97519 0.002 0.03724 80.316 23695 77 -22 12 77 -22

60 0.0050 82.282 1.01242 0.005 0.03777 82.277 23454 78 -25 12 78 -25

61 0.0051 84.226 1.05020 0.011 0.03827 84.215 23188 79 -29 13 79 -29

62 0.0052 86.146 1.08847 0.025 0.03873 86.122 22897 80 -32 13 80 -32

63 0.0053 88.041 1.12720 0.053 0.03910 87.988 22581 81 -35 14 81 -35

64 0.0053 89.909 1.16630 0.113 0.03932 89.796 22241 81 -38 14 81 -38

65 0.0054 91.748 1.20562 0.235 0.03928 91.513 21878 82 -42 15 82 -42

66 0.0055 93.555 1.24490 0.475 0.03880 93.080 21491 82 -45 15 82 -45

67 0.0056 95.329 1.28370 0.933 0.03760 94.396 21081 82 -49 16 81 -48

68 0.0057 97.068 1.32129 1.761 0.03539 95.307 20648 82 -52 17 80 -51

69 0.0058 98.770 1.35669 3.150 0.03210 95.620 20193 82 -56 17 79 -54

70 0.0058 100.433 1.38879 5.269 0.02803 95.163 19717 81 -59 18 77 -56

71 0.0059 102.055 1.41681 8.178 0.02377 93.877 19219 81 -63 18 74 -58

72 0.0060 103.635 1.44059 11.793 0.01988 91.842 18700 80 -66 19 71 -59

73 0.0061 105.171 1.46047 15.944 0.01661 89.227 18161 79 -70 20 67 -59

74 0.0062 106.662 1.47708 20.448 0.01396 86.214 17602 78 -73 20 63 -59

75 0.0063 108.104 1.49104 25.150 0.01185 82.955 17024 76 -76 21 59 -59

76 0.0063 109.498 1.50289 29.934 0.01016 79.564 16427 75 -80 21 54 -58

77 0.0064 110.842 1.51305 34.718 0.00880 76.124 15813 73 -83 22 50 -57

78 0.0065 112.133 1.52185 39.442 0.00769 72.691 15181 71 -86 23 46 -56

79 0.0066 113.372 1.52954 44.066 0.00677 69.306 14532 69 -90 23 42 -55

80 0.0067 114.555 1.53631 48.561 0.00600 65.994 13867 67 -93 24 39 -53

81 0.0068 115.682 1.54231 52.908 0.00535 62.774 13187 65 -96 25 35 -52

82 0.0068 116.752 1.54765 57.093 0.00479 59.659 12491 63 -99 25 32 -50

83 0.0069 117.764 1.55244 61.109 0.00431 56.655 11782 60 -101 26 29 -49

84 0.0070 118.716 1.55675 64.950 0.00389 53.766 11059 57 -104 27 26 -47

85 0.0071 119.607 1.56064 68.612 0.00352 50.995 10324 54 -107 27 23 -45

86 0.0072 120.436 1.56415 72.095 0.00319 48.341 9577 51 -109 28 21 -44

87 0.0073 121.202 1.56734 75.399 0.00290 45.803 8818 48 -111 28 18 -42

88 0.0073 121.905 1.57024 78.526 0.00264 43.379 8049 45 -113 29 16 -40



89 0.0074 122.544 1.57288 81.477 0.00240 41.066 7270 42 -115 30 14 -39

90 0.0075 123.117 1.57527 84.256 0.00218 38.861 6482 38 -117 30 12 -37

91 0.0076 123.624 1.57746 86.864 0.00199 36.760 5687 34 -119 31 10 -35

92 0.0077 124.064 1.57945 89.305 0.00181 34.760 4883 31 -120 32 9 -34

93 0.0078 124.438 1.58126 91.582 0.00164 32.856 4074 27 -121 32 7 -32

94 0.0078 124.743 1.58290 93.699 0.00149 31.044 3258 23 -123 33 6 -30

95 0.0079 124.980 1.58439 95.659 0.00135 29.321 2438 20 -123 33 5 -29

96 0.0080 125.149 1.58574 97.467 0.00122 27.683 1613 16 -124 34 3 -27

97 0.0081 125.249 1.58695 99.125 0.00109 26.125 785 12 -125 35 2 -26

98 0.0082 125.280 1.58805 100.636 0.00098 24.644 -45 8 -125 35 2 -25

99 0.0083 125.242 1.58902 102.006 0.00087 23.236 -877 4 -125 36 1 -23100 0.0083 125.134 1.58989 103.237 0.00076 21.897 -1710 0 -125 36 0 -22

101 0.0084 124.957 1.59065 104.332 0.00066 20.625 -2543 -4 -125 37 -1 -21

102 0.0085 124.710 1.59132 105.295 0.00057 19.416 -3375 -8 -124 37 -1 -19

103 0.0086 124.394 1.59189 106.129 0.00048 18.265 -4205 -12 -124 38 -2 -18

104 0.0087 124.009 1.59237 106.838 0.00040 17.172 -5033 -16 -123 38 -2 -17

105 0.0088 123.556 1.59277 107.424 0.00031 16.132 -5858 -19 -122 39 -3 -16

106 0.0088 123.033 1.59308 107.891 0.00024 15.142 -6678 -23 -121 39 -3 -15

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235 0.0196 6.118 1.13174 0.058 0.01192 6.060 22551 5 3 55 5 3

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237 0.0198 9.938 1.15634 0.094 0.01344 9.844 23270 9 4 55 9 4238 0.0198 11.891 1.16979 0.121 0.01418 11.770 23594 11 4 55 11 4

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256 0.0213 49.426 1.45578 14.856 0.01031 34.570 25049 49 -9 56 34 -6

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260 0.0217 57.650 1.49190 25.470 0.00716 32.180 24228 55 -18 55 31 -10

261 0.0218 59.658 1.49906 28.301 0.00657 31.357 23960 56 -20 55 30 -11

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263 0.0219 63.601 1.51167 34.027 0.00556 29.575 23349 58 -25 55 27 -12

264 0.0220 65.533 1.51723 36.891 0.00514 28.642 23007 59 -28 55 26 -12

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266 0.0222 69.306 1.52713 42.562 0.00441 26.744 22253 61 -33 55 23 -13

267 0.0223 71.143 1.53154 45.349 0.00410 25.795 21841 61 -36 55 22 -13

268 0.0223 72.945 1.53563 48.094 0.00381 24.852 21406 62 -39 55 21 -13

269 0.0224 74.710 1.53945 50.790 0.00355 23.920 20949 62 -42 55 20 -13

270 0.0225 76.436 1.54300 53.432 0.00332 23.004 20471 62 -45 55 19 -14

271 0.0226 78.122 1.54631 56.016 0.00310 22.105 19971 62 -48 55 17 -14

272 0.0227 79.764 1.54941 58.538 0.00290 21.226 19450 61 -51 54 16 -14

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275 0.0229 84.420 1.55756 65.699 0.00238 18.721 17768 60 -60 54 13 -13

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277 0.0231 87.281 1.56217 70.113 0.00209 17.168 16553 58 -65 54 11 -13

278 0.0232 88.634 1.56426 72.206 0.00196 16.428 15919 56 -68 54 10 -13

279 0.0233 89.934 1.56622 74.222 0.00184 15.712 15268 55 -71 54 10 -12

280 0.0233 91.179 1.56806 76.160 0.00172 15.019 14601 54 -74 54 9 -12

281 0.0234 92.367 1.56978 78.017 0.00161 14.350 13919 52 -76 53 8 -12

282 0.0235 93.498 1.57138 79.795 0.00150 13.703 13222 50 -79 53 7 -12

283 0.0236 94.570 1.57289 81.491 0.00140 13.079 12511 48 -81 53 7 -11

284 0.0237 95.583 1.57429 83.106 0.00131 12.477 11786 46 -84 53 6 -11

285 0.0238 96.534 1.57560 84.639 0.00122 11.895 11049 44 -86 53 5 -11

286 0.0238 97.424 1.57682 86.089 0.00113 11.335 10299 41 -88 53 5 -10

287 0.0239 98.251 1.57795 87.457 0.00105 10.794 9539 39 -90 53 4 -10

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290 0.0242 100.344 1.58085 91.062 0.00081 9.282 7198 31 -95 52 3 -9

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292 0.0243 101.411 1.58240 93.050 0.00067 8.361 5595 25 -98 52 2 -8

293 0.0244 101.843 1.58307 93.919 0.00060 7.924 4784 22 -99 52 2 -8

294 0.0245 102.208 1.58367 94.706 0.00053 7.502 3966 19 -100 52 1 -7

295 0.0246 102.504 1.58420 95.410 0.00047 7.095 3144 16 -101 51 1 -7



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297 0.0248 102.891 1.58507 96.571 0.00034 6.320 1488 10 -102 51 1 -6

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299 0.0249 103.000 1.58569 97.405 0.00022 5.595 -178 3 -103 51 0 -6

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485 0.0404 82.867 1.52742 42.741 0.00432 40.126 11478 38 -74 52 18 -36

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616 0.0513 -47.868 0.44116 0.000 -0.01047 -47.868 12399 -23 -42 51 -23 -42

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645 0.0538 2.004 0.44608 0.000 0.01213 2.004 25919 2 0 52 2 0

646 0.0538 4.169 0.45821 0.000 0.01290 4.169 26038 4 1 52 4 1

647 0.0539 6.343 0.47111 0.000 0.01367 6.343 26131 6 1 52 6 1

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654 0.0545 21.624 0.58228 0.000 0.01872 21.624 26046 21 -3 52 21 -3

655 0.0546 23.790 0.60100 0.000 0.01939 23.790 25929 23 -4 52 23 -4

656 0.0547 25.945 0.62040 0.000 0.02005 25.945 25786 25 -5 52 25 -5

657 0.0548 28.087 0.64045 0.000 0.02069 28.087 25617 27 -6 52 27 -6

658 0.0548 30.213 0.66113 0.000 0.02131 30.213 25423 29 -8 52 29 -8

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660 0.0550 34.413 0.70436 0.000 0.02250 34.413 24958 33 -11 52 33 -11

661 0.0551 36.482 0.72686 0.000 0.02307 36.482 24688 34 -12 52 34 -12

662 0.0552 38.527 0.74994 0.000 0.02363 38.527 24393 36 -14 52 36 -14

663 0.0553 40.547 0.77357 0.000 0.02416 40.547 24073 37 -16 52 37 -16

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665 0.0554 44.501 0.82239 0.000 0.02516 44.501 23362 40 -20 52 40 -20

666 0.0555 46.432 0.84756 0.000 0.02563 46.432 22971 41 -22 52 41 -22667 0.0556 48.329 0.87319 0.000 0.02608 48.329 22558 42 -25 52 42 -25

668 0.0557 50.191 0.89927 0.000 0.02651 50.190 22121 42 -27 52 42 -27

669 0.0558 52.015 0.92578 0.001 0.02691 52.014 21662 43 -29 52 43 -29

670 0.0558 53.800 0.95269 0.001 0.02729 53.799 21182 44 -32 52 44 -32

671 0.0559 55.545 0.97998 0.002 0.02765 55.542 20680 44 -34 52 44 -34

672 0.0560 57.247 1.00763 0.005 0.02798 57.242 20157 44 -36 52 44 -36

673 0.0561 58.904 1.03561 0.008 0.02828 58.896 19614 44 -39 51 44 -39

674 0.0562 60.515 1.06389 0.015 0.02854 60.500 19052 44 -41 51 44 -41

675 0.0563 62.079 1.09243 0.027 0.02877 62.052 18470 44 -44 51 44 -44

676 0.0563 63.593 1.12120 0.048 0.02894 63.545 17870 44 -46 51 43 -46

677 0.0564 65.056 1.15014 0.083 0.02904 64.973 17251 43 -49 51 43 -49

678 0.0565 66.468 1.17918 0.144 0.02904 66.324 16615 42 -51 51 42 -51

679 0.0566 67.825 1.20821 0.246 0.02890 67.579 15963 42 -54 51 41 -53

680 0.0567 69.128 1.23711 0.414 0.02855 68.714 15294 41 -56 51 40 -56

681 0.0568 70.374 1.26566 0.684 0.02793 69.690 14610 40 -58 51 39 -58

682 0.0568 71.562 1.29359 1.105 0.02695 70.457 13911 38 -60 51 38 -59

683 0.0569 72.692 1.32054 1.739 0.02556 70.953 13198 37 -63 51 36 -61

684 0.0570 73.762 1.34610 2.651 0.02376 71.110 12472 36 -65 51 34 -62

685 0.0571 74.770 1.36985 3.896 0.02163 70.874 11732 34 -67 51 32 -63

686 0.0572 75.717 1.39149 5.499 0.01934 70.217 10981 32 -69 51 30 -64

687 0.0573 76.600 1.41083 7.450 0.01706 69.150 10219 30 -70 51 27 -63

688 0.0573 77.420 1.42788 9.705 0.01492 67.715 9446 29 -72 51 25 -63

689 0.0574 78.174 1.44280 12.198 0.01300 65.976 8664 26 -74 51 22 -62

690 0.0575 78.863 1.45580 14.858 0.01133 64.005 7873 24 -75 51 20 -61

691 0.0576 79.486 1.46712 17.620 0.00989 61.866 7073 22 -76 51 17 -59

692 0.0577 80.042 1.47701 20.426 0.00866 59.616 6266 20 -78 51 15 -58

693 0.0578 80.530 1.48567 23.230 0.00761 57.300 5453 18 -79 51 12 -56

694 0.0578 80.951 1.49328 25.996 0.00672 54.955 4634 15 -80 50 10 -54

695 0.0579 81.303 1.50000 28.694 0.00595 52.609 3810 13 -80 50 8 -52

696 0.0580 81.586 1.50595 31.303 0.00528 50.283 2982 10 -81 50 6 -50

697 0.0581 81.799 1.51123 33.807 0.00469 47.993 2150 8 -81 50 5 -48

698 0.0582 81.944 1.51592 36.194 0.00418 45.750 1317 5 -82 50 3 -46

699 0.0583 82.019 1.52010 38.455 0.00373 43.564 481 3 -82 50 1 -44

700 0.0583 82.024 1.52383 40.584 0.00332 41.440 -355 0 -82 50 0 -41

701 0.0584 81.960 1.52715 42.576 0.00296 39.383 -1192 -3 -82 50 -1 -39

702 0.0585 81.825 1.53011 44.431 0.00264 37.395 -2027 -5 -82 50 -2 -37

703 0.0586 81.622 1.53275 46.145 0.00234 35.476 -2861 -8 -81 50 -3 -35

704 0.0587 81.349 1.53509 47.720 0.00207 33.628 -3693 -10 -81 50 -4 -33

705 0.0588 81.006 1.53716 49.155 0.00182 31.851 -4521 -13 -80 50 -5 -31

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707 0.0589 80.116 1.54057 51.614 0.00138 28.502 -6164 -17 -78 50 -6 -28

708 0.0590 79.568 1.54195 52.640 0.00118 26.928 -6977 -20 -77 50 -7 -26

709 0.0591 78.953 1.54313 53.535 0.00100 25.418 -7784 -22 -76 50 -7 -24



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711 0.0593 77.523 1.54495 54.940 0.00066 22.582 -9375 -26 -73 50 -8 -21

712 0.0593 76.709 1.54561 55.456 0.00050 21.252 -10158 -28 -71 50 -8 -20

713 0.0594 75.830 1.54611 55.852 0.00035 19.977 -10930 -30 -70 49 -8 -18

714 0.0595 74.887 1.54646 56.131 0.00021 18.756 -11693 -32 -68 49 -8 -17

715 0.0596 73.881 1.54667 56.297 0.00007 17.585 -12444 -34 -66 49 -8 -16

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717 0.0598 71.685 1.54667 56.300 -0.00019 15.385 -13910 -36 -62 49 -8 -13

718 0.0598 70.496 1.54647 56.144 -0.00032 14.351 -14623 -38 -60 49 -8 -12

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720 0.0600 67.942 1.54571 55.536 -0.00057 12.407 -16006 -40 -55 49 -7 -10721 0.0601 66.581 1.54514 55.090 -0.00069 11.491 -16675 -41 -53 49 -7 -9

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725 0.0604 60.597 1.54169 52.442 -0.00116 8.155 -19182 -43 -43 49 -6 -6

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782 0.0652 -50.575 0.96214 0.002 -0.02330 -50.577 -14570 27 -43 49 27 -43

783 0.0653 -51.760 0.93884 0.001 -0.02338 -51.761 -13856 26 -45 49 26 -45

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797 0.0664 -61.620 0.61617 0.000 -0.02177 -61.620 -2784 6 -61 50 6 -61

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801 0.0668 -61.991 0.53100 0.000 -0.02041 -61.991 564 -2 -62 50 -2 -62

802 0.0668 -61.909 0.51059 0.000 -0.02002 -61.909 1402 -4 -62 50 -4 -62

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804 0.0670 -61.536 0.47097 0.000 -0.01915 -61.536 3070 -8 -61 50 -8 -61805 0.0671 -61.246 0.45182 0.000 -0.01869 -61.246 3900 -10 -60 50 -10 -60

806 0.0672 -60.886 0.43313 0.000 -0.01821 -60.886 4726 -11 -60 50 -11 -60

807 0.0673 -60.458 0.41492 0.000 -0.01770 -60.458 5547 -13 -59 50 -13 -59

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809 0.0674 -59.398 0.38005 0.000 -0.01663 -59.398 7170 -17 -57 50 -17 -57

810 0.0675 -58.767 0.36342 0.000 -0.01607 -58.767 7971 -18 -56 50 -18 -56

811 0.0676 -58.070 0.34735 0.000 -0.01548 -58.070 8764 -20 -55 50 -20 -55

812 0.0677 -57.307 0.33187 0.000 -0.01488 -57.307 9548 -21 -53 50 -21 -53

813 0.0678 -56.479 0.31699 0.000 -0.01426 -56.479 10322 -22 -52 50 -22 -52

814 0.0678 -55.587 0.30272 0.000 -0.01363 -55.587 11086 -24 -50 50 -24 -50

815 0.0679 -54.631 0.28910 0.000 -0.01298 -54.631 11839 -25 -49 51 -25 -49

816 0.0680 -53.614 0.27612 0.000 -0.01231 -53.614 12580 -26 -47 51 -26 -47

817 0.0681 -52.535 0.26381 0.000 -0.01163 -52.535 13308 -27 -45 51 -27 -45

818 0.0682 -51.396 0.25218 0.000 -0.01093 -51.396 14023 -28 -43 51 -28 -43

819 0.0683 -50.198 0.24125 0.000 -0.01022 -50.198 14723 -28 -42 51 -28 -42

820 0.0683 -48.943 0.23103 0.000 -0.00950 -48.943 15409 -29 -40 51 -29 -40

821 0.0684 -47.630 0.22153 0.000 -0.00877 -47.630 16079 -29 -38 51 -29 -38

822 0.0685 -46.263 0.21276 0.000 -0.00802 -46.263 16734 -29 -36 51 -29 -36

823 0.0686 -44.842 0.20473 0.000 -0.00727 -44.842 17371 -30 -34 51 -30 -34

824 0.0687 -43.368 0.19747 0.000 -0.00650 -43.368 17991 -30 -32 51 -30 -32

825 0.0688 -41.844 0.19096 0.000 -0.00573 -41.844 18593 -30 -30 51 -30 -30

826 0.0688 -40.270 0.18524 0.000 -0.00495 -40.270 19177 -29 -28 51 -29 -28

827 0.0689 -38.648 0.18029 0.000 -0.00416 -38.648 19741 -29 -26 51 -29 -26

828 0.0690 -36.980 0.17614 0.000 -0.00336 -36.980 20286 -28 -24 51 -28 -24

829 0.0691 -35.268 0.17278 0.000 -0.00256 -35.268 20810 -28 -22 51 -28 -22

830 0.0692 -33.513 0.17022 0.000 -0.00175 -33.513 21313 -27 -20 51 -27 -20

831 0.0693 -31.716 0.16847 0.000 -0.00094 -31.716 21795 -26 -18 51 -26 -18

832 0.0693 -29.881 0.16754 0.000 -0.00012 -29.881 22256 -25 -16 51 -25 -16

833 0.0694 -28.008 0.16741 0.000 0.00070 -28.008 22694 -24 -14 51 -24 -14

834 0.0695 -26.099 0.16811 0.000 0.00152 -26.099 23110 -23 -13 51 -23 -13

835 0.0696 -24.157 0.16963 0.000 0.00234 -24.157 23502 -22 -11 51 -22 -11

836 0.0697 -22.183 0.17197 0.000 0.00316 -22.183 23871 -20 -9 51 -20 -9

837 0.0698 -20.179 0.17513 0.000 0.00398 -20.179 24216 -19 -8 51 -19 -8

838 0.0698 -18.147 0.17911 0.000 0.00480 -18.147 24538 -17 -7 51 -17 -7

839 0.0699 -16.090 0.18390 0.000 0.00562 -16.090 24834 -15 -5 51 -15 -5

840 0.0700 -14.009 0.18952 0.000 0.00643 -14.009 25106 -13 -4 51 -13 -4

841 0.0701 -11.906 0.19595 0.000 0.00724 -11.906 25353 -11 -3 51 -11 -3

842 0.0702 -9.784 0.20319 0.000 0.00805 -9.784 25575 -9 -2 51 -9 -2

843 0.0703 -7.644 0.21124 0.000 0.00885 -7.644 25771 -7 -2 51 -7 -2

844 0.0703 -5.490 0.22008 0.000 0.00964 -5.490 25941 -5 -1 51 -5 -1

845 0.0704 -3.322 0.22972 0.000 0.01043 -3.322 26086 -3 -1 51 -3 -1

846 0.0705 -1.143 0.24014 0.000 0.01120 -1.143 26205 -1 0 51 -1 0

847 0.0706 1.045 0.25135 0.000 0.01197 1.045 26297 1 0 51 1 0



848 0.0707 3.239 0.26332 0.000 0.01273 3.239 26363 3 0 51 3 0

849 0.0708 5.438 0.27606 0.000 0.01349 5.438 26403 5 0 51 5 0

850 0.0708 7.639 0.28954 0.000 0.01423 7.639 26417 8 0 51 8 0

851 0.0709 9.840 0.30377 0.000 0.01495 9.840 26405 10 0 51 10 0

852 0.0710 12.039 0.31872 0.000 0.01567 12.039 26366 12 -1 51 12 -1

853 0.0711 14.234 0.33439 0.000 0.01637 14.234 26301 14 -1 51 14 -1

854 0.0712 16.422 0.35076 0.000 0.01706 16.422 26210 16 -2 51 16 -2

855 0.0713 18.601 0.36782 0.000 0.01774 18.601 26092 18 -3 51 18 -3

856 0.0713 20.770 0.38556 0.000 0.01840 20.770 25949 20 -4 51 20 -4

857 0.0714 22.926 0.40396 0.000 0.01904 22.926 25780 22 -5 51 22 -5

858 0.0715 25.066 0.42299 0.000 0.01967 25.066 25585 24 -6 51 24 -6859 0.0716 27.189 0.44266 0.000 0.02028 27.189 25364 26 -8 51 26 -8

860 0.0717 29.293 0.46294 0.000 0.02087 29.293 25119 28 -9 51 28 -9

861 0.0718 31.375 0.48381 0.000 0.02144 31.375 24848 30 -11 51 30 -11

862 0.0718 33.433 0.50525 0.000 0.02200 33.433 24553 31 -12 51 31 -12

863 0.0719 35.466 0.52725 0.000 0.02254 35.466 24233 33 -14 51 33 -14

864 0.0720 37.471 0.54978 0.000 0.02305 37.471 23889 34 -16 51 34 -16

865 0.0721 39.447 0.57284 0.000 0.02355 39.447 23521 35 -18 51 35 -18

866 0.0722 41.391 0.59638 0.000 0.02402 41.391 23130 36 -20 51 36 -20

867 0.0723 43.301 0.62041 0.000 0.02448 43.301 22715 37 -22 51 37 -22

868 0.0723 45.176 0.64488 0.000 0.02491 45.176 22278 38 -24 51 38 -24

869 0.0724 47.014 0.66979 0.000 0.02532 47.014 21819 39 -26 51 39 -26

870 0.0725 48.812 0.69511 0.000 0.02570 48.812 21338 39 -29 51 39 -29

871 0.0726 50.570 0.72081 0.000 0.02607 50.570 20836 40 -31 51 40 -31

872 0.0727 52.284 0.74688 0.000 0.02641 52.284 20313 40 -33 51 40 -33

873 0.0728 53.955 0.77329 0.000 0.02673 53.955 19770 40 -36 51 40 -36874 0.0728 55.579 0.80001 0.000 0.02702 55.579 19207 41 -38 51 41 -38

875 0.0729 57.155 0.82703 0.000 0.02729 57.155 18625 40 -40 51 40 -40

876 0.0730 58.682 0.85432 0.000 0.02753 58.682 18024 40 -43 51 40 -43

877 0.0731 60.159 0.88185 0.000 0.02775 60.158 17405 40 -45 51 40 -45

878 0.0732 61.583 0.90959 0.000 0.02794 61.582 16769 39 -47 51 39 -47

879 0.0733 62.953 0.93753 0.001 0.02811 62.952 16116 39 -50 51 39 -50

880 0.0733 64.268 0.96564 0.002 0.02825 64.266 15447 38 -52 51 38 -52

881 0.0734 65.527 0.99388 0.003 0.02836 65.524 14762 37 -54 51 37 -54

882 0.0735 66.728 1.02224 0.006 0.02844 66.722 14063 36 -56 51 36 -56

883 0.0736 67.870 1.05068 0.011 0.02849 67.859 13350 35 -58 51 35 -58

884 0.0737 68.953 1.07916 0.020 0.02849 68.932 12623 33 -60 51 33 -60

885 0.0738 69.974 1.10766 0.036 0.02846 69.938 11883 32 -62 51 32 -62

886 0.0738 70.933 1.13611 0.064 0.02836 70.869 11132 30 -64 51 30 -64

887 0.0739 71.829 1.16447 0.109 0.02818 71.720 10369 29 -66 50 28 -66

888 0.0740 72.661 1.19265 0.185 0.02790 72.476 9596 27 -68 50 27 -67

889 0.0741 73.428 1.22055 0.308 0.02746 73.120 8813 25 -69 50 25 -69

890 0.0742 74.129 1.24801 0.502 0.02683 73.628 8021 23 -71 50 23 -70

891 0.0743 74.765 1.27484 0.801 0.02594 73.963 7222 21 -72 50 21 -71

892 0.0743 75.333 1.30079 1.248 0.02476 74.085 6414 19 -73 50 18 -72

893 0.0744 75.833 1.32554 1.890 0.02325 73.944 5601 17 -74 50 16 -72

894 0.0745 76.266 1.34880 2.771 0.02147 73.495 4781 14 -75 50 14 -72

895 0.0746 76.630 1.37026 3.922 0.01948 72.709 3957 12 -76 50 11 -72

896 0.0747 76.925 1.38974 5.350 0.01742 71.576 3128 10 -76 50 9 -71

897 0.0748 77.151 1.40716 7.036 0.01540 70.116 2296 7 -77 50 7 -70

898 0.0748 77.308 1.42256 8.939 0.01352 68.369 1462 5 -77 50 4 -68

899 0.0749 77.395 1.43608 11.008 0.01183 66.388 626 2 -77 50 2 -66

900 0.0750 77.412 1.44791 13.184 0.01033 64.228 -211 0 -77 50 0 -64

901 0.0751 77.360 1.45824 15.417 0.00904 61.943 -1047 -2 -77 50 -2 -62

902 0.0752 77.238 1.46728 17.661 0.00791 59.577 -1883 -5 -77 50 -4 -59

903 0.0753 77.046 1.47519 19.879 0.00694 57.167 -2718 -7 -77 50 -5 -57

904 0.0753 76.785 1.48213 22.041 0.00610 54.744 -3549 -10 -76 50 -7 -54

905 0.0754 76.455 1.48822 24.125 0.00536 52.330 -4378 -12 -76 50 -8 -52

906 0.0755 76.056 1.49359 26.111 0.00472 49.944 -5202 -14 -75 50 -9 -49

907 0.0756 75.588 1.49830 27.988 0.00415 47.600 -6022 -16 -74 50 -10 -46

908 0.0757 75.052 1.50246 29.745 0.00365 45.308 -6836 -19 -73 50 -11 -44

909 0.0758 74.449 1.50611 31.375 0.00320 43.074 -7643 -21 -71 50 -12 -41

910 0.0758 73.778 1.50931 32.875 0.00280 40.904 -8443 -23 -70 50 -13 -39

911 0.0759 73.042 1.51210 34.241 0.00243 38.801 -9234 -25 -69 50 -13 -37

912 0.0760 72.240 1.51453 35.472 0.00210 36.768 -10017 -27 -67 50 -14 -34

913 0.0761 71.373 1.51663 36.568 0.00179 34.805 -10790 -28 -66 50 -14 -32

914 0.0762 70.442 1.51842 37.530 0.00151 32.912 -11553 -30 -64 50 -14 -30

915 0.0763 69.447 1.51993 38.359 0.00125 31.088 -12305 -32 -62 50 -14 -28

916 0.0763 68.391 1.52118 39.058 0.00100 29.333 -13044 -33 -60 50 -14 -26



917 0.0764 67.274 1.52218 39.629 0.00077 27.645 -13771 -34 -58 50 -14 -24

918 0.0765 66.096 1.52295 40.074 0.00056 26.022 -14485 -35 -56 50 -14 -22

919 0.0766 64.860 1.52351 40.398 0.00035 24.462 -15184 -36 -54 50 -14 -20

920 0.0767 63.566 1.52386 40.604 0.00016 22.962 -15869 -37 -51 49 -13 -19

921 0.0768 62.216 1.52402 40.695 -0.00003 21.520 -16538 -38 -49 49 -13 -17

922 0.0768 60.810 1.52398 40.676 -0.00022 20.134 -17191 -39 -47 49 -13 -16

923 0.0769 59.351 1.52377 40.549 -0.00039 18.802 -17827 -39 -45 49 -12 -14

924 0.0770 57.840 1.52338 40.320 -0.00057 17.520 -18446 -40 -42 49 -12 -13

925 0.0771 56.277 1.52281 39.991 -0.00074 16.286 -19047 -40 -40 49 -12 -12

926 0.0772 54.666 1.52207 39.568 -0.00090 15.097 -19629 -40 -37 49 -11 -10

927 0.0773 53.006 1.52117 39.055 -0.00107 13.952 -20192 -40 -35 49 -10 -9928 0.0773 51.301 1.52010 38.455 -0.00124 12.846 -20735 -40 -33 49 -10 -8

929 0.0774 49.551 1.51886 37.773 -0.00140 11.778 -21258 -39 -30 49 -9 -7

930 0.0775 47.758 1.51746 37.013 -0.00157 10.745 -21761 -39 -28 49 -9 -6

931 0.0776 45.925 1.51589 36.180 -0.00174 9.745 -22242 -38 -26 49 -8 -5

932 0.0777 44.052 1.51415 35.277 -0.00191 8.775 -22701 -37 -24 49 -7 -5

933 0.0778 42.142 1.51224 34.310 -0.00209 7.832 -23138 -36 -21 49 -7 -4

934 0.0778 40.196 1.51015 33.283 -0.00227 6.914 -23553 -35 -19 49 -6 -3

935 0.0779 38.217 1.50788 32.199 -0.00246 6.018 -23944 -34 -17 49 -5 -3

936 0.0780 36.206 1.50543 31.065 -0.00265 5.141 -24312 -33 -15 49 -5 -2

937 0.0781 34.166 1.50278 29.883 -0.00285 4.282 -24656 -31 -14 49 -4 -2

938 0.0782 32.098 1.49992 28.660 -0.00306 3.437 -24976 -30 -12 49 -3 -1

939 0.0783 30.004 1.49686 27.399 -0.00329 2.604 -25271 -28 -10 49 -2 -1

940 0.0783 27.886 1.49357 26.106 -0.00352 1.780 -25542 -27 -9 49 -2 -1

941 0.0784 25.747 1.49005 24.786 -0.00377 0.961 -25788 -25 -7 49 -1 0

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951 0.0793 3.643 1.43788 11.316 -0.00752 -7.672 -26828 -4 0 49 8 0

952 0.0793 1.409 1.43037 10.083 -0.00808 -8.674 -26788 -1 0 49 9 -1

953 0.0794 -0.821 1.42228 8.901 -0.00870 -9.722 -26722 1 0 49 10 -1

954 0.0795 -3.044 1.41358 7.777 -0.00937 -10.821 -26630 3 0 49 11 -1

955 0.0796 -5.258 1.40422 6.719 -0.01008 -11.978 -26511 5 -1 49 12 -2

956 0.0797 -7.462 1.39414 5.734 -0.01085 -13.196 -26367 7 -1 49 13 -2

957 0.0798 -9.652 1.38329 4.829 -0.01166 -14.481 -26197 9 -2 49 14 -3

958 0.0798 -11.827 1.37163 4.008 -0.01251 -15.836 -26001 11 -3 49 15 -4

959 0.0799 -13.985 1.35912 3.277 -0.01338 -17.262 -25779 13 -4 49 17 -5

960 0.0800 -16.123 1.34574 2.636 -0.01428 -18.759 -25532 15 -5 49 18 -6

961 0.0801 -18.240 1.33146 2.084 -0.01517 -20.324 -25261 17 -6 49 19 -7

962 0.0802 -20.332 1.31629 1.620 -0.01605 -21.952 -24964 19 -7 49 20 -8

963 0.0803 -22.400 1.30024 1.237 -0.01690 -23.636 -24643 21 -9 49 22 -9

964 0.0803 -24.439 1.28334 0.927 -0.01770 -25.366 -24298 22 -10 49 23 -11

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967 0.0806 -30.371 1.22802 0.352 -0.01980 -30.723 -23122 26 -15 49 26 -16

968 0.0807 -32.280 1.20822 0.246 -0.02039 -32.526 -22684 27 -17 49 27 -17

969 0.0808 -34.151 1.18783 0.169 -0.02092 -34.320 -22223 28 -19 49 28 -19

970 0.0808 -35.983 1.16692 0.114 -0.02140 -36.097 -21741 29 -21 49 29 -21

971 0.0809 -37.774 1.14552 0.076 -0.02184 -37.850 -21238 30 -23 49 30 -23

972 0.0810 -39.522 1.12368 0.050 -0.02223 -39.572 -20714 30 -25 49 30 -25

973 0.0811 -41.226 1.10145 0.032 -0.02259 -41.258 -20170 31 -27 49 31 -27

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978 0.0815 -49.019 0.98553 0.003 -0.02392 -49.022 -17164 31 -38 49 31 -38

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980 0.0817 -51.770 0.93751 0.001 -0.02426 -51.771 -15839 30 -42 49 30 -42

981 0.0818 -53.062 0.91325 0.001 -0.02439 -53.062 -15154 30 -44 49 30 -44

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984 0.0820 -56.585 0.83982 0.000 -0.02461 -56.585 -13011 27 -50 50 27 -50

985 0.0821 -57.639 0.81520 0.000 -0.02464 -57.639 -12271 26 -51 50 26 -51



986 0.0822 -58.630 0.79057 0.000 -0.02464 -58.630 -11518 25 -53 50 25 -53

987 0.0823 -59.558 0.76593 0.000 -0.02461 -59.558 -10755 24 -55 50 24 -55

988 0.0823 -60.422 0.74132 0.000 -0.02455 -60.422 -9980 22 -56 50 22 -56

989 0.0824 -61.221 0.71677 0.000 -0.02447 -61.221 -9197 21 -58 50 21 -58

990 0.0825 -61.955 0.69230 0.000 -0.02437 -61.955 -8404 19 -59 50 19 -59

991 0.0826 -62.622 0.66793 0.000 -0.02424 -62.622 -7603 17 -60 50 17 -60

992 0.0827 -63.222 0.64370 0.000 -0.02408 -63.222 -6795 16 -61 50 16 -61

993 0.0828 -63.754 0.61962 0.000 -0.02390 -63.754 -5980 14 -62 50 14 -62

994 0.0828 -64.218 0.59572 0.000 -0.02369 -64.218 -5160 12 -63 50 12 -63

995 0.0829 -64.614 0.57204 0.000 -0.02345 -64.614 -4334 10 -64 50 10 -64

996 0.0830 -64.940 0.54858 0.000 -0.02320 -64.940 -3505 8 -64 50 8 -64997 0.0831 -65.198 0.52539 0.000 -0.02291 -65.198 -2672 6 -65 50 6 -65

998 0.0832 -65.386 0.50247 0.000 -0.02261 -65.386 -1837 4 -65 50 4 -65

999 0.0833 -65.504 0.47986 0.000 -0.02228 -65.504 -1000 2 -65 50 2 -65

1000 0.0833 -65.552 0.45759 0.000 -0.02192 -65.552 -162 0 -66 50 0 -66

1001 0.0834 -65.531 0.43567 0.000 -0.02154 -65.531 676 -2 -65 50 -2 -65

1002 0.0835 -65.440 0.41412 0.000 -0.02114 -65.440 1513 -4 -65 50 -4 -65

1003 0.0836 -65.279 0.39298 0.000 -0.02072 -65.279 2348 -6 -65 50 -6 -65

1004 0.0837 -65.048 0.37225 0.000 -0.02028 -65.048 3181 -8 -65 50 -8 -65

1005 0.0838 -64.749 0.35198 0.000 -0.01981 -64.749 4010 -10 -64 50 -10 -64

1006 0.0838 -64.380 0.33217 0.000 -0.01932 -64.380 4836 -12 -63 50 -12 -63

1007 0.0839 -63.943 0.31285 0.000 -0.01881 -63.943 5656 -14 -62 50 -14 -62

1008 0.0840 -63.438 0.29403 0.000 -0.01829 -63.438 6471 -16 -61 50 -16 -61

1009 0.0841 -62.865 0.27575 0.000 -0.01774 -62.865 7279 -18 -60 50 -18 -60

1010 0.0842 -62.225 0.25801 0.000 -0.01717 -62.225 8080 -19 -59 50 -19 -59

1011 0.0843 -61.518 0.24084 0.000 -0.01658 -61.518 8872 -21 -58 50 -21 -581012 0.0843 -60.746 0.22426 0.000 -0.01598 -60.746 9656 -22 -56 50 -22 -56

1013 0.0844 -59.909 0.20828 0.000 -0.01536 -59.909 10430 -24 -55 50 -24 -55

1014 0.0845 -59.008 0.19292 0.000 -0.01472 -59.008 11194 -25 -53 50 -25 -53

1015 0.0846 -58.044 0.17820 0.000 -0.01407 -58.044 11946 -26 -52 50 -26 -52

1016 0.0847 -57.017 0.16413 0.000 -0.01340 -57.017 12687 -27 -50 50 -27 -50

1017 0.0848 -55.930 0.15073 0.000 -0.01271 -55.930 13415 -28 -48 50 -28 -48

1018 0.0848 -54.782 0.13802 0.000 -0.01201 -54.782 14129 -29 -46 50 -29 -46

1019 0.0849 -53.575 0.12601 0.000 -0.01130 -53.575 14829 -30 -44 50 -30 -44

1020 0.0850 -52.311 0.11470 0.000 -0.01058 -52.311 15515 -31 -42 50 -31 -42

1021 0.0851 -50.990 0.10413 0.000 -0.00984 -50.990 16185 -31 -40 50 -31 -40

1022 0.0852 -49.614 0.09429 0.000 -0.00909 -49.614 16839 -32 -38 50 -32 -38

1023 0.0853 -48.184 0.08519 0.000 -0.00834 -48.184 17476 -32 -36 50 -32 -36

1024 0.0853 -46.702 0.07686 0.000 -0.00757 -46.702 18096 -32 -34 50 -32 -34

1025 0.0854 -45.168 0.06929 0.000 -0.00679 -45.168 18698 -32 -32 50 -32 -32

1026 0.0855 -43.586 0.06250 0.000 -0.00600 -43.586 19281 -32 -30 51 -32 -30

1027 0.0856 -41.955 0.05650 0.000 -0.00521 -41.955 19845 -31 -28 51 -31 -28

1028 0.0857 -40.279 0.05128 0.000 -0.00441 -40.279 20389 -31 -26 51 -31 -26

1029 0.0858 -38.558 0.04687 0.000 -0.00361 -38.558 20913 -30 -24 51 -30 -24

1030 0.0858 -36.794 0.04326 0.000 -0.00280 -36.794 21416 -30 -22 51 -30 -22

1031 0.0859 -34.989 0.04047 0.000 -0.00198 -34.989 21898 -29 -20 51 -29 -20

1032 0.0860 -33.145 0.03849 0.000 -0.00116 -33.145 22358 -28 -18 51 -28 -18

1033 0.0861 -31.263 0.03732 0.000 -0.00034 -31.263 22796 -27 -16 51 -27 -16

1034 0.0862 -29.346 0.03698 0.000 0.00048 -29.346 23212 -26 -14 51 -26 -14

1035 0.0863 -27.395 0.03746 0.000 0.00130 -27.395 23604 -24 -12 51 -24 -12

1036 0.0863 -25.413 0.03876 0.000 0.00213 -25.413 23973 -23 -11 51 -23 -11

1037 0.0864 -23.400 0.04089 0.000 0.00295 -23.400 24318 -21 -9 51 -21 -9

1038 0.0865 -21.360 0.04384 0.000 0.00377 -21.360 24639 -20 -8 51 -20 -8

1039 0.0866 -19.295 0.04761 0.000 0.00459 -19.295 24935 -18 -7 51 -18 -7

1040 0.0867 -17.205 0.05221 0.000 0.00541 -17.205 25207 -16 -5 51 -16 -5

1041 0.0868 -15.094 0.05761 0.000 0.00622 -15.094 25453 -14 -4 51 -14 -4

1042 0.0868 -12.964 0.06384 0.000 0.00703 -12.964 25675 -13 -3 51 -13 -3

1043 0.0869 -10.816 0.07086 0.000 0.00783 -10.816 25870 -11 -2 51 -11 -2

1044 0.0870 -8.653 0.07870 0.000 0.00863 -8.653 26041 -8 -2 51 -8 -2

1045 0.0871 -6.477 0.08732 0.000 0.00942 -6.477 26185 -6 -1 51 -6 -1

1046 0.0872 -4.289 0.09674 0.000 0.01020 -4.289 26303 -4 -1 51 -4 -1

1047 0.0873 -2.093 0.10694 0.000 0.01097 -2.093 26396 -2 0 51 -2 0

1048 0.0873 0.109 0.11791 0.000 0.01174 0.109 26462 0 0 51 0 0

1049 0.0874 2.316 0.12965 0.000 0.01249 2.316 26502 2 0 51 2 0

1050 0.0875 4.525 0.14214 0.000 0.01323 4.525 26515 5 0 51 5 0

1051 0.0876 6.735 0.15537 0.000 0.01396 6.735 26502 7 0 51 7 0

1052 0.0877 8.942 0.16933 0.000 0.01468 8.942 26463 9 -1 51 9 -1

1053 0.0878 11.144 0.18401 0.000 0.01539 11.144 26398 11 -1 51 11 -1

1054 0.0878 13.341 0.19939 0.000 0.01608 13.341 26306 13 -2 51 13 -2



1055 0.0879 15.528 0.21547 0.000 0.01675 15.528 26189 15 -2 51 15 -2

1056 0.0880 17.705 0.23222 0.000 0.01742 17.705 26045 17 -3 51 17 -3

1057 0.0881 19.868 0.24964 0.000 0.01806 19.868 25876 19 -4 51 19 -4

1058 0.0882 22.017 0.26770 0.000 0.01869 22.017 25681 21 -5 51 21 -5

1059 0.0883 24.148 0.28639 0.000 0.01930 24.148 25460 23 -7 51 23 -7

1060 0.0883 26.259 0.30570 0.000 0.01990 26.259 25214 25 -8 51 25 -8

1061 0.0884 28.349 0.32560 0.000 0.02048 28.349 24943 27 -10 51 27 -10

1062 0.0885 30.416 0.34608 0.000 0.02104 30.416 24647 28 -11 51 28 -11

1063 0.0886 32.456 0.36711 0.000 0.02157 32.456 24327 30 -13 51 30 -13

1064 0.0887 34.470 0.38869 0.000 0.02209 34.470 23983 31 -15 51 31 -15

1065 0.0888 36.453 0.41078 0.000 0.02259 36.453 23615 32 -17 51 32 -171066 0.0888 38.405 0.43337 0.000 0.02307 38.405 23224 34 -19 51 34 -19

1067 0.0889 40.323 0.45644 0.000 0.02352 40.323 22809 35 -21 51 35 -21

1068 0.0890 42.206 0.47996 0.000 0.02396 42.206 22372 36 -23 51 36 -23

1069 0.0891 44.051 0.50392 0.000 0.02437 44.051 21912 36 -25 51 36 -25

1070 0.0892 45.857 0.52829 0.000 0.02476 45.857 21431 37 -27 51 37 -27

1071 0.0893 47.622 0.55305 0.000 0.02513 47.622 20929 38 -29 51 38 -29

1072 0.0893 49.345 0.57818 0.000 0.02547 49.345 20406 38 -31 51 38 -31

1073 0.0894 51.023 0.60365 0.000 0.02579 51.023 19862 38 -34 51 38 -34

1074 0.0895 52.654 0.62944 0.000 0.02608 52.654 19299 38 -36 51 38 -36

1075 0.0896 54.239 0.65552 0.000 0.02635 54.239 18716 38 -38 50 38 -38

1076 0.0897 55.773 0.68188 0.000 0.02660 55.773 18115 38 -41 50 38 -41

1077 0.0898 57.257 0.70848 0.000 0.02682 57.257 17496 38 -43 50 38 -43

1078 0.0898 58.689 0.73530 0.000 0.02702 58.689 16860 37 -45 50 37 -45

1079 0.0899 60.067 0.76231 0.000 0.02719 60.067 16207 37 -47 50 37 -47

1080 0.0900 61.390 0.78950 0.000 0.02733 61.390 15537 36 -50 50 36 -501081 0.0901 62.656 0.81683 0.000 0.02745 62.656 14852 35 -52 50 35 -52

1082 0.0902 63.865 0.84428 0.000 0.02754 63.864 14153 34 -54 50 34 -54

1083 0.0903 65.014 0.87183 0.000 0.02761 65.014 13439 33 -56 50 33 -56

1084 0.0903 66.104 0.89944 0.000 0.02765 66.104 12712 32 -58 50 32 -58

1085 0.0904 67.133 0.92709 0.001 0.02767 67.132 11972 30 -60 50 30 -60

1086 0.0905 68.099 0.95476 0.001 0.02766 68.098 11221 29 -62 50 29 -62

1087 0.0906 69.002 0.98242 0.003 0.02761 69.000 10458 27 -63 50 27 -63

1088 0.0907 69.842 1.01003 0.005 0.02755 69.837 9684 26 -65 50 26 -65

1089 0.0908 70.616 1.03758 0.009 0.02744 70.608 8901 24 -66 50 24 -66

1090 0.0908 71.325 1.06502 0.015 0.02731 71.310 8110 22 -68 50 22 -68

1091 0.0909 71.968 1.09233 0.027 0.02713 71.941 7309 20 -69 50 20 -69

1092 0.0910 72.543 1.11946 0.046 0.02691 72.497 6502 18 -70 50 18 -70

1093 0.0911 73.051 1.14638 0.077 0.02663 72.974 5688 16 -71 50 16 -71

1094 0.0912 73.491 1.17301 0.128 0.02627 73.363 4868 14 -72 50 14 -72

1095 0.0913 73.862 1.19928 0.209 0.02581 73.653 4044 12 -73 50 12 -73

1096 0.0913 74.165 1.22509 0.334 0.02523 73.831 3215 9 -74 50 9 -73

1097 0.0914 74.398 1.25032 0.523 0.02448 73.875 2383 7 -74 50 7 -74

1098 0.0915 74.562 1.27480 0.801 0.02355 73.761 1548 5 -74 50 5 -74

1099 0.0916 74.656 1.29835 1.198 0.02239 73.458 712 2 -75 50 2 -73

1100 0.0917 74.681 1.32074 1.745 0.02102 72.936 -125 0 -75 50 0 -73

1101 0.0918 74.635 1.34176 2.469 0.01945 72.166 -962 -2 -75 50 -2 -72

1102 0.0918 74.520 1.36121 3.389 0.01776 71.131 -1798 -5 -74 50 -4 -71

1103 0.0919 74.336 1.37896 4.507 0.01601 69.828 -2632 -7 -74 50 -7 -70

1104 0.0920 74.082 1.39497 5.810 0.01428 68.272 -3464 -9 -73 50 -9 -68

1105 0.0921 73.758 1.40925 7.270 0.01265 66.489 -4293 -12 -73 50 -10 -66

1106 0.0922 73.366 1.42190 8.849 0.01115 64.517 -5118 -14 -72 50 -12 -63

1107 0.0923 72.906 1.43305 10.507 0.00979 62.398 -5938 -16 -71 50 -14 -61

1108 0.0923 72.377 1.44284 12.206 0.00859 60.171 -6752 -18 -70 50 -15 -58

1109 0.0924 71.781 1.45143 13.909 0.00753 57.872 -7559 -20 -69 50 -16 -56

1110 0.0925 71.117 1.45896 15.585 0.00659 55.532 -8359 -22 -68 50 -17 -53

1111 0.0926 70.388 1.46555 17.211 0.00577 53.177 -9151 -24 -66 50 -18 -50

1112 0.0927 69.592 1.47132 18.765 0.00504 50.827 -9934 -26 -65 50 -19 -47

1113 0.0928 68.732 1.47637 20.232 0.00440 48.500 -10707 -27 -63 50 -19 -45

1114 0.0928 67.808 1.48077 21.601 0.00382 46.207 -11470 -29 -61 50 -20 -42

1115 0.0929 66.821 1.48459 22.861 0.00331 43.959 -12222 -30 -60 50 -20 -39

1116 0.0930 65.771 1.48790 24.008 0.00284 41.763 -12962 -32 -58 50 -20 -37

1117 0.0931 64.661 1.49074 25.037 0.00242 39.624 -13689 -33 -56 50 -20 -34

1118 0.0932 63.490 1.49315 25.946 0.00203 37.545 -14403 -34 -54 50 -20 -32

1119 0.0933 62.261 1.49518 26.733 0.00167 35.528 -15102 -35 -51 50 -20 -29

1120 0.0933 60.974 1.49686 27.399 0.00134 33.575 -15787 -36 -49 50 -20 -27

1121 0.0934 59.630 1.49820 27.945 0.00103 31.685 -16456 -37 -47 50 -19 -25

1122 0.0935 58.231 1.49924 28.373 0.00074 29.859 -17110 -37 -45 50 -19 -23

1123 0.0936 56.779 1.49998 28.684 0.00047 28.095 -17746 -38 -43 50 -19 -21



1124 0.0937 55.274 1.50045 28.883 0.00021 26.392 -18365 -38 -40 50 -18 -19

1125 0.0938 53.718 1.50066 28.971 -0.00004 24.747 -18966 -38 -38 50 -17 -17

1126 0.0938 52.114 1.50062 28.953 -0.00028 23.160 -19549 -38 -36 50 -17 -16

1127 0.0939 50.461 1.50033 28.833 -0.00052 21.628 -20112 -38 -33 50 -16 -14

1128 0.0940 48.762 1.49981 28.615 -0.00075 20.147 -20656 -38 -31 50 -16 -13

1129 0.0941 47.019 1.49907 28.302 -0.00098 18.717 -21179 -37 -29 50 -15 -11

1130 0.0942 45.233 1.49809 27.900 -0.00120 17.333 -21681 -37 -27 50 -14 -10

1131 0.0943 43.406 1.49689 27.412 -0.00142 15.994 -22163 -36 -24 50 -13 -9

1132 0.0943 41.540 1.49547 26.844 -0.00165 14.695 -22622 -35 -22 50 -12 -8

1133 0.0944 39.636 1.49382 26.201 -0.00188 13.435 -23059 -34 -20 50 -12 -7

1134 0.0945 37.697 1.49194 25.486 -0.00211 12.211 -23474 -33 -18 50 -11 -61135 0.0946 35.724 1.48984 24.706 -0.00234 11.018 -23866 -32 -16 50 -10 -5

1136 0.0947 33.720 1.48749 23.865 -0.00259 9.855 -24234 -31 -14 50 -9 -4

1137 0.0948 31.686 1.48491 22.969 -0.00284 8.717 -24578 -29 -13 50 -8 -3

1138 0.0948 29.624 1.48207 22.023 -0.00310 7.602 -24898 -28 -11 50 -7 -3

1139 0.0949 27.537 1.47897 21.031 -0.00337 6.506 -25194 -26 -9 49 -6 -2

1140 0.0950 25.426 1.47560 20.001 -0.00366 5.425 -25465 -24 -8 49 -5 -2

1141 0.0951 23.294 1.47194 18.938 -0.00396 4.356 -25711 -22 -6 49 -4 -1

1142 0.0952 21.142 1.46797 17.847 -0.00429 3.295 -25931 -20 -5 49 -3 -1

1143 0.0953 18.972 1.46369 16.735 -0.00463 2.237 -26127 -19 -4 49 -2 0

1144 0.0953 16.788 1.45906 15.609 -0.00500 1.179 -26296 -16 -3 49 -1 0

1145 0.0954 14.590 1.45407 14.475 -0.00539 0.116 -26440 -14 -2 49 0 0

1146 0.0955 12.382 1.44868 13.339 -0.00581 -0.957 -26558 -12 -2 49 1 0

1147 0.0956 10.165 1.44286 12.210 -0.00627 -2.045 -26649 -10 -1 49 2 0

1148 0.0957 7.941 1.43659 11.094 -0.00676 -3.153 -26715 -8 0 49 3 0

1149 0.0958 5.713 1.42983 10.000 -0.00730 -4.287 -26754 -6 0 49 4 01150 0.0958 3.483 1.42253 8.935 -0.00788 -5.452 -26767 -3 0 49 5 0

1151 0.0959 1.253 1.41465 7.908 -0.00850 -6.655 -26753 -1 0 49 7 0

1152 0.0960 -0.975 1.40615 6.926 -0.00917 -7.901 -26713 1 0 49 8 0

1153 0.0961 -3.199 1.39698 5.997 -0.00989 -9.196 -26647 3 0 49 9 -1

1154 0.0962 -5.416 1.38709 5.129 -0.01066 -10.545 -26555 5 -1 49 10 -1

1155 0.0963 -7.624 1.37644 4.329 -0.01146 -11.953 -26437 8 -1 49 12 -2

1156 0.0963 -9.821 1.36497 3.601 -0.01231 -13.423 -26293 10 -2 49 13 -3

1157 0.0964 -12.005 1.35266 2.951 -0.01318 -14.956 -26123 12 -3 49 15 -3

1158 0.0965 -14.174 1.33949 2.379 -0.01406 -16.553 -25927 14 -4 49 16 -4

1159 0.0966 -16.326 1.32542 1.886 -0.01495 -18.212 -25706 16 -5 49 17 -5

1160 0.0967 -18.458 1.31047 1.469 -0.01583 -19.927 -25459 18 -6 49 19 -6

1161 0.0968 -20.568 1.29464 1.125 -0.01668 -21.693 -25188 19 -7 49 20 -7

1162 0.0968 -22.655 1.27797 0.846 -0.01749 -23.501 -24891 21 -8 50 22 -9

1163 0.0969 -24.716 1.26048 0.625 -0.01825 -25.341 -24571 23 -10 50 23 -10

1164 0.0970 -26.749 1.24223 0.453 -0.01897 -27.202 -24226 24 -11 50 25 -12

1165 0.0971 -28.753 1.22326 0.323 -0.01963 -29.076 -23857 26 -13 50 26 -13

1166 0.0972 -30.725 1.20362 0.226 -0.02025 -30.951 -23465 27 -15 50 27 -15

1167 0.0973 -32.663 1.18337 0.156 -0.02081 -32.819 -23050 28 -17 50 28 -17

1168 0.0973 -34.566 1.16256 0.105 -0.02133 -34.671 -22612 29 -19 50 29 -19

1169 0.0974 -36.431 1.14124 0.070 -0.02180 -36.501 -22152 30 -20 50 30 -21

1170 0.0975 -38.257 1.11943 0.046 -0.02224 -38.303 -21670 31 -22 50 31 -23

1171 0.0976 -40.042 1.09719 0.030 -0.02264 -40.072 -21167 32 -25 50 32 -25

1172 0.0977 -41.784 1.07455 0.019 -0.02301 -41.803 -20643 32 -27 50 32 -27

1173 0.0978 -43.482 1.05153 0.012 -0.02335 -43.494 -20099 33 -29 50 33 -29

1174 0.0978 -45.134 1.02818 0.007 -0.02366 -45.141 -19535 33 -31 50 33 -31

1175 0.0979 -46.738 1.00452 0.004 -0.02395 -46.742 -18952 33 -33 50 33 -33

1176 0.0980 -48.292 0.98057 0.002 -0.02420 -48.294 -18350 33 -35 50 33 -35

1177 0.0981 -49.795 0.95636 0.001 -0.02443 -49.797 -17731 33 -37 50 33 -37

1178 0.0982 -51.247 0.93193 0.001 -0.02464 -51.247 -17094 33 -39 50 33 -39

1179 0.0983 -52.644 0.90729 0.000 -0.02481 -52.644 -16440 32 -42 50 32 -42

1180 0.0983 -53.986 0.88248 0.000 -0.02497 -53.986 -15770 32 -44 50 32 -44

1181 0.0984 -55.272 0.85751 0.000 -0.02509 -55.272 -15084 31 -46 50 31 -46

1182 0.0985 -56.500 0.83242 0.000 -0.02519 -56.500 -14384 30 -48 50 30 -48

1183 0.0986 -57.669 0.80723 0.000 -0.02527 -57.669 -13670 29 -50 50 29 -50

1184 0.0987 -58.778 0.78196 0.000 -0.02531 -58.778 -12942 28 -52 50 28 -52

1185 0.0988 -59.825 0.75665 0.000 -0.02534 -59.825 -12202 27 -53 50 27 -53

1186 0.0988 -60.811 0.73131 0.000 -0.02533 -60.811 -11450 26 -55 50 26 -55

1187 0.0989 -61.733 0.70598 0.000 -0.02530 -61.733 -10686 25 -57 50 25 -57

1188 0.0990 -62.592 0.68068 0.000 -0.02525 -62.592 -9912 23 -58 50 23 -58

1189 0.0991 -63.385 0.65543 0.000 -0.02516 -63.385 -9129 21 -60 50 21 -60

1190 0.0992 -64.113 0.63027 0.000 -0.02506 -64.113 -8336 20 -61 50 20 -61

1191 0.0993 -64.774 0.60521 0.000 -0.02492 -64.774 -7535 18 -62 50 18 -62

1192 0.0993 -65.369 0.58029 0.000 -0.02476 -65.369 -6727 16 -63 50 16 -63



1193 0.0994 -65.895 0.55552 0.000 -0.02458 -65.895 -5913 14 -64 50 14 -64

1194 0.0995 -66.354 0.53094 0.000 -0.02437 -66.354 -5093 12 -65 50 12 -65

1195 0.0996 -66.744 0.50658 0.000 -0.02413 -66.744 -4267 10 -66 50 10 -66

1196 0.0997 -67.065 0.48244 0.000 -0.02387 -67.065 -3438 8 -67 50 8 -67

1197 0.0998 -67.317 0.45857 0.000 -0.02359 -67.317 -2605 6 -67 50 6 -67

1198 0.0998 -67.499 0.43498 0.000 -0.02328 -67.499 -1770 4 -67 50 4 -67

1199 0.0999 -67.612 0.41169 0.000 -0.02295 -67.612 -934 2 -68 50 2 -68

1200 0.1000 -67.655 0.38874 0.000 -0.02259 -67.655 -96 0 -68 50 0 -68

1201 0.1001 -67.628 0.36615 0.000 -0.02221 -67.628 742 -2 -68 50 -2 -68

1202 0.1002 -67.531 0.34393 0.000 -0.02181 -67.531 1578 -4 -67 50 -4 -67

1203 0.1003 -67.365 0.32212 0.000 -0.02139 -67.365 2413 -6 -67 50 -6 -671204 0.1003 -67.129 0.30073 0.000 -0.02094 -67.129 3246 -8 -67 50 -8 -67

1205 0.1004 -66.824 0.27979 0.000 -0.02047 -66.824 4075 -10 -66 50 -10 -66

1206 0.1005 -66.450 0.25932 0.000 -0.01998 -66.450 4901 -12 -65 50 -12 -65

1207 0.1006 -66.007 0.23934 0.000 -0.01947 -66.007 5721 -14 -64 50 -14 -64

1208 0.1007 -65.497 0.21986 0.000 -0.01894 -65.497 6535 -16 -63 50 -16 -63

1209 0.1008 -64.918 0.20092 0.000 -0.01839 -64.918 7343 -18 -62 50 -18 -62

1210 0.1008 -64.273 0.18253 0.000 -0.01782 -64.273 8144 -20 -61 50 -20 -61

1211 0.1009 -63.561 0.16470 0.000 -0.01724 -63.561 8937 -22 -60 50 -22 -60

1212 0.1010 -62.784 0.14747 0.000 -0.01663 -62.784 9720 -23 -58 50 -23 -58

1213 0.1011 -61.941 0.13084 0.000 -0.01601 -61.941 10494 -25 -57 50 -25 -57

1214 0.1012 -61.035 0.11483 0.000 -0.01537 -61.035 11258 -26 -55 50 -26 -55

1215 0.1013 -60.066 0.09946 0.000 -0.01471 -60.066 12010 -27 -54 50 -27 -54

1216 0.1013 -59.034 0.08475 0.000 -0.01404 -59.034 12750 -28 -52 50 -28 -52

1217 0.1014 -57.941 0.07071 0.000 -0.01336 -57.941 13478 -29 -50 50 -29 -50

1218 0.1015 -56.788 0.05735 0.000 -0.01265 -56.788 14192 -30 -48 50 -30 -481219 0.1016 -55.576 0.04470 0.000 -0.01194 -55.576 14892 -31 -46 50 -31 -46

1220 0.1017 -54.306 0.03275 0.000 -0.01122 -54.306 15578 -32 -44 50 -32 -44

1221 0.1018 -52.980 0.02154 0.000 -0.01048 -52.980 16248 -32 -42 50 -32 -42

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1224 0.1020 -48.676 -0.00763 0.000 -0.00820 -48.676 18158 -33 -35 50 -33 -35

1225 0.1021 -47.138 -0.01583 0.000 -0.00742 -47.138 18760 -33 -33 50 -33 -33

1226 0.1022 -45.550 -0.02325 0.000 -0.00663 -45.550 19343 -33 -31 50 -33 -31

1227 0.1023 -43.915 -0.02988 0.000 -0.00584 -43.915 19906 -33 -29 50 -33 -29

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1229 0.1024 -40.507 -0.04076 0.000 -0.00423 -40.507 20974 -32 -25 50 -32 -25

1230 0.1025 -38.738 -0.04499 0.000 -0.00342 -38.738 21477 -31 -23 50 -31 -23

1231 0.1026 -36.928 -0.04840 0.000 -0.00260 -36.928 21959 -31 -21 50 -31 -21

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1235 0.1029 -29.314 -0.05388 0.000 0.00069 -29.314 23664 -26 -13 50 -26 -13

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1245 0.1038 -8.345 -0.01007 0.000 0.00882 -8.345 26244 -8 -1 50 -8 -1

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1250 0.1042 2.681 0.04177 0.000 0.01264 2.681 26573 3 0 50 3 0

1251 0.1043 4.895 0.05441 0.000 0.01337 4.895 26560 5 0 50 5 0

1252 0.1043 7.107 0.06779 0.000 0.01409 7.107 26521 7 0 50 7 0

1253 0.1044 9.314 0.08188 0.000 0.01480 9.314 26455 9 -1 50 9 -1

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1256 0.1047 15.889 0.12835 0.000 0.01684 15.889 26102 16 -3 50 16 -3

1257 0.1048 18.057 0.14518 0.000 0.01748 18.057 25933 18 -4 50 18 -4

1258 0.1048 20.210 0.16267 0.000 0.01812 20.210 25737 20 -5 50 20 -5

1259 0.1049 22.346 0.18078 0.000 0.01873 22.346 25517 21 -6 50 21 -6

1260 0.1050 24.462 0.19951 0.000 0.01933 24.462 25270 23 -8 50 23 -8

1261 0.1051 26.557 0.21884 0.000 0.01990 26.557 24999 25 -9 50 25 -9





1331 0.1109 41.914 1.47622 20.187 -0.00098 21.727 -22116 -35 -24 50 -18 -12

1332 0.1110 40.051 1.47524 19.895 -0.00127 20.157 -22575 -34 -21 50 -17 -11

1333 0.1111 38.152 1.47397 19.522 -0.00156 18.630 -23013 -33 -19 50 -16 -9

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1340 0.1117 23.969 1.45676 15.076 -0.00375 8.893 -25419 -23 -7 50 -8 -3

1341 0.1118 21.840 1.45301 14.245 -0.00411 7.595 -25665 -21 -6 50 -7 -21342 0.1118 19.692 1.44890 13.384 -0.00450 6.308 -25886 -19 -5 50 -6 -2

1343 0.1119 17.526 1.44440 12.500 -0.00490 5.026 -26081 -17 -4 50 -5 -1

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1351 0.1126 -0.163 1.39113 5.468 -0.00938 -5.631 -26709 0 0 50 6 0

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1353 0.1128 -4.607 1.37162 4.008 -0.01091 -8.615 -26603 5 0 50 9 -1

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1355 0.1129 -9.025 1.34897 2.779 -0.01258 -11.804 -26393 9 -1 50 12 -2

1356 0.1130 -11.219 1.33640 2.261 -0.01344 -13.480 -26249 11 -2 50 13 -31357 0.1131 -13.399 1.32295 1.810 -0.01431 -15.209 -26079 13 -3 50 15 -3

1358 0.1132 -15.564 1.30864 1.425 -0.01518 -16.989 -25883 15 -4 50 16 -4

1359 0.1133 -17.712 1.29346 1.102 -0.01602 -18.815 -25662 17 -5 50 18 -5

1360 0.1133 -19.841 1.27744 0.838 -0.01684 -20.679 -25416 19 -6 50 20 -6

1361 0.1134 -21.948 1.26060 0.626 -0.01762 -22.573 -25144 21 -7 50 21 -8

1362 0.1135 -24.031 1.24298 0.459 -0.01836 -24.490 -24848 22 -9 50 23 -9

1363 0.1136 -26.088 1.22462 0.331 -0.01905 -26.419 -24527 24 -10 50 24 -10

1364 0.1137 -28.118 1.20557 0.234 -0.01969 -28.352 -24183 25 -12 50 26 -12

1365 0.1138 -30.118 1.18588 0.163 -0.02030 -30.281 -23814 27 -14 50 27 -14

1366 0.1138 -32.086 1.16558 0.112 -0.02085 -32.198 -23422 28 -15 50 28 -16

1367 0.1139 -34.021 1.14473 0.075 -0.02137 -34.096 -23007 29 -17 50 29 -17

1368 0.1140 -35.920 1.12335 0.050 -0.02186 -35.970 -22569 30 -19 50 30 -19

1369 0.1141 -37.782 1.10150 0.032 -0.02230 -37.814 -22109 31 -21 50 31 -21

1370 0.1142 -39.605 1.07920 0.021 -0.02272 -39.625 -21628 32 -23 50 32 -23

1371 0.1143 -41.386 1.05648 0.013 -0.02311 -41.399 -21125 33 -25 50 33 -25

1372 0.1143 -43.125 1.03337 0.008 -0.02346 -43.133 -20601 33 -27 50 33 -27

1373 0.1144 -44.819 1.00991 0.005 -0.02380 -44.824 -20057 34 -30 50 34 -30

1374 0.1145 -46.467 0.98611 0.003 -0.02410 -46.470 -19493 34 -32 50 34 -32

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1381 0.1151 -56.581 0.81246 0.000 -0.02551 -56.581 -15043 32 -47 50 32 -47

1382 0.1152 -57.805 0.78695 0.000 -0.02561 -57.805 -14343 31 -49 50 31 -49

1383 0.1153 -58.971 0.76134 0.000 -0.02568 -58.971 -13629 30 -51 50 30 -51

1384 0.1153 -60.077 0.73566 0.000 -0.02573 -60.077 -12902 29 -53 50 29 -53

1385 0.1154 -61.121 0.70993 0.000 -0.02575 -61.121 -12161 28 -54 50 28 -54

1386 0.1155 -62.103 0.68418 0.000 -0.02574 -62.103 -11409 26 -56 50 26 -56

1387 0.1156 -63.022 0.65844 0.000 -0.02571 -63.022 -10646 25 -58 50 25 -58

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1389 0.1158 -64.667 0.60706 0.000 -0.02557 -64.667 -9088 22 -61 50 22 -61

1390 0.1158 -65.392 0.58149 0.000 -0.02546 -65.392 -8296 20 -62 50 20 -62

1391 0.1159 -66.050 0.55603 0.000 -0.02533 -66.050 -7495 18 -63 50 18 -63

1392 0.1160 -66.641 0.53070 0.000 -0.02517 -66.641 -6687 17 -65 50 17 -65

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1394 0.1162 -67.619 0.48054 0.000 -0.02477 -67.619 -5053 13 -66 50 13 -66

1395 0.1163 -68.006 0.45577 0.000 -0.02454 -68.006 -4228 11 -67 50 11 -67

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1399 0.1166 -68.861 0.35928 0.000 -0.02335 -68.861 -894 2 -69 50 2 -69



1400 0.1167 -68.900 0.33593 0.000 -0.02299 -68.900 -57 0 -69 50 0 -69

1401 0.1168 -68.870 0.31294 0.000 -0.02261 -68.870 781 -2 -69 50 -2 -69

1402 0.1168 -68.770 0.29033 0.000 -0.02221 -68.770 1617 -4 -69 50 -4 -69

1403 0.1169 -68.601 0.26812 0.000 -0.02178 -68.601 2452 -6 -68 50 -6 -68

1404 0.1170 -68.362 0.24634 0.000 -0.02134 -68.362 3285 -9 -68 50 -9 -68

1405 0.1171 -68.053 0.22500 0.000 -0.02087 -68.053 4114 -11 -67 50 -11 -67

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1407 0.1173 -67.230 0.18376 0.000 -0.01986 -67.230 5759 -15 -66 50 -15 -66

1408 0.1173 -66.716 0.16390 0.000 -0.01933 -66.716 6574 -17 -65 50 -17 -65

1409 0.1174 -66.135 0.14456 0.000 -0.01878 -66.135 7382 -18 -64 50 -18 -64

1410 0.1175 -65.486 0.12578 0.000 -0.01821 -65.486 8182 -20 -62 50 -20 -621411 0.1176 -64.771 0.10757 0.000 -0.01762 -64.771 8975 -22 -61 50 -22 -61

1412 0.1177 -63.991 0.08995 0.000 -0.01702 -63.991 9758 -24 -59 50 -24 -59

1413 0.1178 -63.145 0.07293 0.000 -0.01639 -63.145 10532 -25 -58 50 -25 -58

1414 0.1178 -62.236 0.05654 0.000 -0.01575 -62.236 11295 -26 -56 50 -26 -56

1415 0.1179 -61.263 0.04079 0.000 -0.01509 -61.263 12047 -28 -55 50 -28 -55

1416 0.1180 -60.228 0.02569 0.000 -0.01442 -60.228 12788 -29 -53 50 -29 -53

1417 0.1181 -59.132 0.01127 0.000 -0.01374 -59.132 13515 -30 -51 50 -30 -51

1418 0.1182 -57.976 -0.00247 0.000 -0.01303 -57.976 14229 -31 -49 50 -31 -49

1419 0.1183 -56.761 -0.01550 0.000 -0.01232 -56.761 14929 -32 -47 50 -32 -47

1420 0.1183 -55.488 -0.02782 0.000 -0.01159 -55.488 15615 -33 -45 50 -33 -45

1421 0.1184 -54.159 -0.03941 0.000 -0.01085 -54.159 16285 -33 -43 50 -33 -43

1422 0.1185 -52.775 -0.05027 0.000 -0.01010 -52.775 16938 -34 -41 50 -34 -41

1423 0.1186 -51.336 -0.06037 0.000 -0.00934 -51.336 17575 -34 -39 50 -34 -39

1424 0.1187 -49.846 -0.06971 0.000 -0.00857 -49.846 18195 -34 -36 50 -34 -36

1425 0.1188 -48.304 -0.07828 0.000 -0.00779 -48.304 18796 -34 -34 50 -34 -341426 0.1188 -46.714 -0.08608 0.000 -0.00700 -46.714 19379 -34 -32 50 -34 -32

1427 0.1189 -45.075 -0.09308 0.000 -0.00621 -45.075 19943 -34 -30 50 -34 -30

1428 0.1190 -43.390 -0.09929 0.000 -0.00541 -43.390 20487 -33 -28 50 -33 -28

1429 0.1191 -41.661 -0.10469 0.000 -0.00460 -41.661 21011 -33 -26 50 -33 -26

1430 0.1192 -39.889 -0.10929 0.000 -0.00379 -39.889 21514 -32 -23 50 -32 -23

1431 0.1193 -38.076 -0.11308 0.000 -0.00297 -38.076 21995 -31 -21 50 -31 -21

1432 0.1193 -36.224 -0.11605 0.000 -0.00215 -36.224 22455 -31 -19 50 -31 -19

1433 0.1194 -34.334 -0.11819 0.000 -0.00132 -34.334 22893 -30 -17 50 -30 -17

1434 0.1195 -32.409 -0.11952 0.000 -0.00050 -32.409 23308 -28 -16 50 -28 -16

1435 0.1196 -30.450 -0.12002 0.000 0.00033 -30.450 23700 -27 -14 50 -27 -14

1436 0.1197 -28.460 -0.11969 0.000 0.00115 -28.460 24068 -26 -12 50 -26 -12

1437 0.1198 -26.440 -0.11853 0.000 0.00198 -26.440 24413 -24 -11 50 -24 -11

1438 0.1198 -24.392 -0.11655 0.000 0.00280 -24.392 24734 -23 -9 50 -23 -9

1439 0.1199 -22.318 -0.11375 0.000 0.00363 -22.318 25030 -21 -8 50 -21 -8

1440 0.1200 -20.221 -0.11012 0.000 0.00445 -20.221 25301 -19 -6 50 -19 -6

1441 0.1201 -18.102 -0.10568 0.000 0.00526 -18.102 25548 -17 -5 50 -17 -5

1442 0.1202 -15.963 -0.10042 0.000 0.00607 -15.963 25769 -15 -4 50 -15 -4

1443 0.1203 -13.808 -0.09435 0.000 0.00688 -13.808 25964 -13 -3 50 -13 -3

1444 0.1203 -11.637 -0.08747 0.000 0.00768 -11.637 26134 -11 -2 50 -11 -2

1445 0.1204 -9.453 -0.07980 0.000 0.00847 -9.453 26278 -9 -1 50 -9 -1

1446 0.1205 -7.258 -0.07133 0.000 0.00925 -7.258 26397 -7 -1 50 -7 -1

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1450 0.1208 1.588 -0.02971 0.000 0.01229 1.588 26607 2 0 50 2 0

1451 0.1209 3.805 -0.01742 0.000 0.01303 3.805 26594 4 0 50 4 0

1452 0.1210 6.020 -0.00439 0.000 0.01375 6.020 26555 6 0 50 6 0

1453 0.1211 8.230 0.00935 0.000 0.01445 8.230 26489 8 -1 50 8 -1

1454 0.1212 10.434 0.02381 0.000 0.01515 10.434 26398 10 -1 50 10 -1

1455 0.1213 12.629 0.03895 0.000 0.01583 12.629 26280 12 -2 50 12 -2

1456 0.1213 14.813 0.05478 0.000 0.01649 14.813 26136 15 -3 50 15 -3

1457 0.1214 16.984 0.07127 0.000 0.01714 16.984 25966 17 -4 50 17 -4

1458 0.1215 19.140 0.08842 0.000 0.01777 19.140 25771 19 -5 50 19 -5

1459 0.1216 21.279 0.10619 0.000 0.01839 21.279 25550 20 -6 50 20 -6

1460 0.1217 23.398 0.12458 0.000 0.01899 23.398 25304 22 -7 50 22 -7

1461 0.1218 25.495 0.14356 0.000 0.01957 25.495 25033 24 -9 50 24 -9

1462 0.1218 27.569 0.16313 0.000 0.02013 27.569 24737 26 -10 50 26 -10

1463 0.1219 29.617 0.18325 0.000 0.02067 29.617 24417 27 -12 50 27 -12

1464 0.1220 31.638 0.20392 0.000 0.02119 31.638 24072 29 -13 50 29 -13

1465 0.1221 33.629 0.22511 0.000 0.02169 33.629 23704 30 -15 50 30 -15

1466 0.1222 35.588 0.24680 0.000 0.02217 35.588 23312 31 -17 50 31 -17

1467 0.1223 37.513 0.26897 0.000 0.02263 37.513 22897 32 -19 50 32 -19

1468 0.1223 39.404 0.29160 0.000 0.02306 39.404 22460 33 -21 50 33 -21







1607 0.1339 -67.955 0.13998 0.000 -0.02010 -67.955 5782 -15 -66 50 -15 -66

1608 0.1340 -67.439 0.11989 0.000 -0.01956 -67.439 6596 -17 -65 50 -17 -65

1609 0.1341 -66.856 0.10032 0.000 -0.01901 -66.856 7404 -19 -64 50 -19 -64

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1611 0.1343 -65.488 0.06287 0.000 -0.01785 -65.488 8997 -22 -62 50 -22 -62

1612 0.1343 -64.706 0.04502 0.000 -0.01724 -64.706 9781 -24 -60 50 -24 -60

1613 0.1344 -63.858 0.02778 0.000 -0.01662 -63.858 10554 -25 -59 50 -25 -59

1614 0.1345 -62.947 0.01116 0.000 -0.01598 -62.947 11318 -27 -57 50 -27 -57

1615 0.1346 -61.973 -0.00482 0.000 -0.01532 -61.973 12070 -28 -55 50 -28 -55

1616 0.1347 -60.936 -0.02014 0.000 -0.01465 -60.936 12810 -29 -53 50 -29 -53

1617 0.1348 -59.838 -0.03479 0.000 -0.01396 -59.838 13537 -30 -52 50 -30 -521618 0.1348 -58.680 -0.04875 0.000 -0.01326 -58.680 14252 -31 -50 50 -31 -50

1619 0.1349 -57.463 -0.06201 0.000 -0.01254 -57.463 14952 -32 -48 50 -32 -48

1620 0.1350 -56.188 -0.07456 0.000 -0.01182 -56.188 15637 -33 -45 50 -33 -45

1621 0.1351 -54.857 -0.08637 0.000 -0.01108 -54.857 16307 -34 -43 50 -34 -43

1622 0.1352 -53.471 -0.09745 0.000 -0.01033 -53.471 16960 -34 -41 50 -34 -41

1623 0.1353 -52.031 -0.10778 0.000 -0.00956 -52.031 17597 -34 -39 50 -34 -39

1624 0.1353 -50.539 -0.11734 0.000 -0.00879 -50.539 18216 -35 -37 50 -35 -37

1625 0.1354 -48.996 -0.12613 0.000 -0.00801 -48.996 18818 -35 -35 50 -35 -35

1626 0.1355 -47.403 -0.13415 0.000 -0.00722 -47.403 19401 -35 -32 50 -35 -32

1627 0.1356 -45.763 -0.14137 0.000 -0.00643 -45.763 19964 -34 -30 50 -34 -30

1628 0.1357 -44.076 -0.14780 0.000 -0.00563 -44.076 20508 -34 -28 50 -34 -28

1629 0.1358 -42.345 -0.15342 0.000 -0.00482 -42.345 21032 -33 -26 50 -33 -26

1630 0.1358 -40.571 -0.15824 0.000 -0.00400 -40.571 21535 -33 -24 50 -33 -24

1631 0.1359 -38.756 -0.16224 0.000 -0.00319 -38.756 22017 -32 -22 50 -32 -22

1632 0.1360 -36.902 -0.16543 0.000 -0.00236 -36.902 22476 -31 -20 50 -31 -201633 0.1361 -35.011 -0.16779 0.000 -0.00154 -35.011 22914 -30 -18 50 -30 -18

1634 0.1362 -33.084 -0.16933 0.000 -0.00071 -33.084 23329 -29 -16 50 -29 -16

1635 0.1363 -31.123 -0.17005 0.000 0.00011 -31.123 23721 -28 -14 50 -28 -14

1636 0.1363 -29.131 -0.16994 0.000 0.00094 -29.131 24090 -26 -12 50 -26 -12

1637 0.1364 -27.109 -0.16900 0.000 0.00177 -27.109 24434 -25 -11 50 -25 -11

1638 0.1365 -25.060 -0.16723 0.000 0.00259 -25.060 24755 -23 -9 50 -23 -9

1639 0.1366 -22.984 -0.16464 0.000 0.00341 -22.984 25051 -22 -8 50 -22 -8

1640 0.1367 -20.885 -0.16123 0.000 0.00423 -20.885 25322 -20 -6 50 -20 -6

1641 0.1368 -18.764 -0.15699 0.000 0.00505 -18.764 25569 -18 -5 50 -18 -5

1642 0.1368 -16.624 -0.15194 0.000 0.00586 -16.624 25790 -16 -4 50 -16 -4

1643 0.1369 -14.467 -0.14608 0.000 0.00667 -14.467 25985 -14 -3 50 -14 -3

1644 0.1370 -12.294 -0.13942 0.000 0.00746 -12.294 26155 -12 -2 50 -12 -2

1645 0.1371 -10.108 -0.13195 0.000 0.00826 -10.108 26299 -10 -2 50 -10 -2

1646 0.1372 -7.912 -0.12370 0.000 0.00904 -7.912 26417 -8 -1 50 -8 -1

1647 0.1373 -5.706 -0.11465 0.000 0.00982 -5.706 26509 -6 -1 50 -6 -1

1648 0.1373 -3.494 -0.10484 0.000 0.01058 -3.494 26575 -3 0 50 -3 0

1649 0.1374 -1.278 -0.09425 0.000 0.01134 -1.278 26614 -1 0 50 -1 0

1650 0.1375 0.941 -0.08291 0.000 0.01209 0.941 26628 1 0 50 1 0

1651 0.1376 3.159 -0.07083 0.000 0.01282 3.159 26615 3 0 50 3 0

1652 0.1377 5.376 -0.05801 0.000 0.01354 5.376 26575 5 0 50 5 0

1653 0.1378 7.588 -0.04447 0.000 0.01425 7.588 26510 8 -1 50 8 -1

1654 0.1378 9.793 -0.03022 0.000 0.01494 9.793 26418 10 -1 50 10 -1

1655 0.1379 11.990 -0.01527 0.000 0.01562 11.990 26300 12 -2 50 12 -2

1656 0.1380 14.176 0.00035 0.000 0.01629 14.176 26156 14 -3 50 14 -3

1657 0.1381 16.349 0.01664 0.000 0.01694 16.349 25986 16 -4 50 16 -4

1658 0.1382 18.506 0.03358 0.000 0.01757 18.506 25791 18 -5 50 18 -5

1659 0.1383 20.646 0.05115 0.000 0.01819 20.646 25570 20 -6 50 20 -6

1660 0.1383 22.767 0.06933 0.000 0.01878 22.767 25324 22 -7 50 22 -7

1661 0.1384 24.866 0.08812 0.000 0.01936 24.866 25053 23 -8 50 23 -8

1662 0.1385 26.942 0.10748 0.000 0.01993 26.942 24757 25 -10 50 25 -10

1663 0.1386 28.992 0.12741 0.000 0.02047 28.992 24436 27 -12 50 27 -12

1664 0.1387 31.014 0.14788 0.000 0.02099 31.014 24092 28 -13 50 28 -13

1665 0.1388 33.006 0.16886 0.000 0.02149 33.006 23723 29 -15 50 29 -15

1666 0.1388 34.967 0.19036 0.000 0.02197 34.967 23332 31 -17 50 31 -17

1667 0.1389 36.894 0.21233 0.000 0.02243 36.894 22917 32 -19 50 32 -19

1668 0.1390 38.786 0.23476 0.000 0.02287 38.786 22479 33 -21 50 33 -21

1669 0.1391 40.640 0.25762 0.000 0.02328 40.640 22020 34 -23 50 34 -23

1670 0.1392 42.455 0.28090 0.000 0.02367 42.455 21538 34 -25 50 34 -25

1671 0.1393 44.229 0.30458 0.000 0.02404 44.229 21035 35 -27 50 35 -27

1672 0.1393 45.961 0.32862 0.000 0.02439 45.961 20512 35 -29 50 35 -29

1673 0.1394 47.647 0.35301 0.000 0.02471 47.647 19968 36 -32 50 36 -32

1674 0.1395 49.288 0.37772 0.000 0.02501 49.288 19405 36 -34 50 36 -34

1675 0.1396 50.881 0.40273 0.000 0.02528 50.881 18822 36 -36 50 36 -36



1676 0.1397 52.425 0.42801 0.000 0.02553 52.425 18221 36 -38 50 36 -38

1677 0.1398 53.917 0.45354 0.000 0.02575 53.917 17601 36 -40 50 36 -40

1678 0.1398 55.358 0.47929 0.000 0.02595 55.358 16964 35 -43 50 35 -43

1679 0.1399 56.744 0.50524 0.000 0.02613 56.744 16311 35 -45 50 35 -45

1680 0.1400 58.076 0.53137 0.000 0.02627 58.076 15641 34 -47 50 34 -47

1681 0.1401 59.351 0.55764 0.000 0.02640 59.351 14956 33 -49 50 33 -49

1682 0.1402 60.568 0.58404 0.000 0.02649 60.568 14256 32 -51 50 32 -51

1683 0.1403 61.726 0.61053 0.000 0.02656 61.726 13543 31 -53 50 31 -53

1684 0.1403 62.825 0.63709 0.000 0.02661 62.825 12815 30 -55 50 30 -55

1685 0.1404 63.862 0.66370 0.000 0.02663 63.862 12075 29 -57 50 29 -57

1686 0.1405 64.837 0.69033 0.000 0.02662 64.837 11323 28 -59 50 28 -591687 0.1406 65.749 0.71695 0.000 0.02658 65.749 10560 26 -60 50 26 -60

1688 0.1407 66.597 0.74353 0.000 0.02653 66.597 9786 25 -62 50 25 -62

1689 0.1408 67.380 0.77006 0.000 0.02644 67.380 9003 23 -63 50 23 -63

1690 0.1408 68.097 0.79650 0.000 0.02633 68.097 8211 21 -65 50 21 -65

1691 0.1409 68.748 0.82282 0.000 0.02619 68.748 7411 19 -66 50 19 -66

1692 0.1410 69.332 0.84902 0.000 0.02603 69.332 6603 17 -67 50 17 -67

1693 0.1411 69.848 0.87505 0.000 0.02584 69.848 5789 15 -68 50 15 -68

1694 0.1412 70.296 0.90089 0.000 0.02563 70.296 4969 13 -69 50 13 -69

1695 0.1413 70.676 0.92651 0.001 0.02539 70.675 4144 11 -70 50 11 -70

1696 0.1413 70.987 0.95190 0.001 0.02512 70.986 3315 9 -70 50 9 -70

1697 0.1414 71.229 0.97703 0.002 0.02483 71.226 2483 7 -71 50 7 -71

1698 0.1415 71.401 1.00186 0.004 0.02452 71.397 1648 4 -71 50 4 -71

1699 0.1416 71.503 1.02637 0.007 0.02417 71.496 811 2 -71 50 2 -71

1700 0.1417 71.536 1.05055 0.011 0.02380 71.524 -26 0 -72 50 0 -72

1701 0.1418 71.499 1.07435 0.019 0.02340 71.480 -863 -2 -71 50 -2 -711702 0.1418 71.392 1.09774 0.030 0.02296 71.362 -1700 -4 -71 50 -4 -71

1703 0.1419 71.216 1.12071 0.047 0.02249 71.168 -2534 -7 -71 50 -7 -71

1704 0.1420 70.970 1.14320 0.073 0.02198 70.897 -3367 -9 -70 50 -9 -70

1705 0.1421 70.655 1.16518 0.111 0.02142 70.544 -4196 -11 -70 50 -11 -70

1706 0.1422 70.270 1.18660 0.165 0.02081 70.105 -5021 -13 -69 50 -13 -69

1707 0.1423 69.818 1.20741 0.242 0.02014 69.575 -5841 -15 -68 50 -15 -68

1708 0.1423 69.297 1.22755 0.349 0.01940 68.948 -6655 -17 -67 50 -17 -67

1709 0.1424 68.709 1.24695 0.493 0.01858 68.216 -7462 -19 -66 50 -19 -66

1710 0.1425 68.054 1.26553 0.682 0.01769 67.372 -8263 -21 -65 50 -21 -64

1711 0.1426 67.332 1.28322 0.926 0.01672 66.406 -9055 -23 -63 50 -22 -62

1712 0.1427 66.545 1.29995 1.231 0.01569 65.314 -9838 -24 -62 50 -24 -61

1713 0.1428 65.693 1.31563 1.602 0.01460 64.090 -10612 -26 -60 50 -25 -59

1714 0.1428 64.776 1.33023 2.043 0.01347 62.734 -11375 -28 -59 50 -27 -57

1715 0.1429 63.797 1.34370 2.549 0.01233 61.248 -12127 -29 -57 50 -28 -55

1716 0.1430 62.756 1.35603 3.116 0.01119 59.639 -12867 -30 -55 50 -29 -52

1717 0.1431 61.653 1.36722 3.734 0.01008 57.919 -13594 -31 -53 50 -29 -50

1718 0.1432 60.490 1.37730 4.389 0.00902 56.101 -14308 -32 -51 50 -30 -47

1719 0.1433 59.269 1.38632 5.067 0.00801 54.202 -15008 -33 -49 50 -30 -45

1720 0.1433 57.989 1.39433 5.752 0.00707 52.237 -15693 -34 -47 50 -31 -42

1721 0.1434 56.653 1.40140 6.429 0.00619 50.224 -16363 -35 -45 50 -31 -40

1722 0.1435 55.262 1.40759 7.084 0.00538 48.179 -17016 -35 -43 50 -31 -37

1723 0.1436 53.818 1.41297 7.704 0.00462 46.114 -17653 -36 -40 50 -30 -35

1724 0.1437 52.321 1.41760 8.278 0.00393 44.043 -18272 -36 -38 50 -30 -32

1725 0.1438 50.773 1.42152 8.797 0.00328 41.976 -18874 -36 -36 50 -30 -30

1726 0.1438 49.176 1.42480 9.255 0.00268 39.921 -19457 -36 -34 50 -29 -27

1727 0.1439 47.531 1.42748 9.645 0.00211 37.886 -20020 -36 -31 50 -28 -25

1728 0.1440 45.840 1.42959 9.964 0.00158 35.876 -20564 -35 -29 50 -28 -23

1729 0.1441 44.104 1.43117 10.209 0.00108 33.895 -21087 -35 -27 50 -27 -21

1730 0.1442 42.326 1.43225 10.379 0.00060 31.946 -21590 -34 -25 50 -26 -19

1731 0.1443 40.506 1.43285 10.475 0.00014 30.031 -22072 -34 -23 50 -25 -17

1732 0.1443 38.648 1.43298 10.497 -0.00031 28.150 -22531 -33 -21 50 -24 -15

1733 0.1444 36.752 1.43267 10.447 -0.00075 26.304 -22969 -32 -19 50 -23 -13

1734 0.1445 34.820 1.43192 10.328 -0.00118 24.492 -23384 -31 -17 50 -21 -12

1735 0.1446 32.855 1.43074 10.142 -0.00161 22.713 -23775 -29 -15 50 -20 -10

1736 0.1447 30.858 1.42913 9.894 -0.00204 20.964 -24144 -28 -13 50 -19 -9

1737 0.1448 28.832 1.42710 9.588 -0.00247 19.244 -24488 -26 -11 50 -18 -8

1738 0.1448 26.777 1.42462 9.229 -0.00291 17.548 -24809 -25 -10 50 -16 -6

1739 0.1449 24.698 1.42171 8.823 -0.00337 15.875 -25105 -23 -8 50 -15 -5

1740 0.1450 22.594 1.41834 8.374 -0.00384 14.220 -25376 -21 -7 50 -14 -4

1741 0.1451 20.469 1.41451 7.890 -0.00432 12.579 -25622 -20 -6 50 -12 -4

1742 0.1452 18.324 1.41018 7.376 -0.00483 10.948 -25843 -18 -5 50 -11 -3

1743 0.1453 16.162 1.40536 6.840 -0.00536 9.322 -26038 -16 -4 50 -9 -2

1744 0.1453 13.985 1.40000 6.289 -0.00592 7.697 -26208 -14 -3 50 -8 -1





Rw + Rb = 4.000 ohms

= 0.894 --- CALCULATION OF FORM FACTOR

4.472 ohms

0.032 seconds S = 22

onding to Vs 1.501 Wb-turns INDEX = 0 1 2 3 4 5 6

376.99 rad/s ANGLE = 0 0.0157 0.03141593 0.047124 0.062832 0.07854 0.094248

0.34584 (SINE^S)^2 = 0 0.0000 7.4379E-67 4.13E-59 1.28E-53 2.31E-49 6.91E-46

us ie

e = A * l^S : 3.83E-03 --- RP = 0.345838

0.000083 seconds

0.00531 henries

ith a one-cycle window.

f Fund'l Phase Phase

IDEAL ACTUAL

I2MAG I1PH I2PH

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

3 0.150



0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.00 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.00 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0



0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.00 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.00 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0

0 0.0 0.0





0 60 60

0 59 59

1 58 58

1 57 57

1 55 55

1 54 54

1 53 53

1 51 51

1 50 50

1 49 49

2 47 472 46 46

2 45 45

2 43 43

2 42 42

3 41 41

3 40 40

3 38 38

3 37 37

4 36 36

4 34 34

4 33 33

5 32 32

5 30 30

5 29 29

6 28 286 26 26

6 25 25

7 24 24

7 23 23

7 21 21

8 20 20

8 19 19

9 17 17

9 16 16

10 15 15

10 13 13

11 12 12

11 11 11

12 10 10

12 8 8

13 7 7

13 6 6

14 5 5

14 3 3

15 2 2

15 1 1

16 -1 0

17 -2 -2

17 -3 -3

18 -4 -4

18 -5 -5

19 -7 -6

19 -8 -7

20 -9 -8

20 -10 -9

21 -12 -10

21 -13 -11

22 -14 -12

22 -15 -13

22 -17 -14

23 -18 -15

23 -19 -15

23 -20 -16

24 -21 -17

24 -22 -17

24 -24 -18

24 -25 -18

24 -26 -19



25 -27 -19

25 -28 -20

25 -29 -20

25 -31 -21

25 -32 -21

25 -33 -22

25 -34 -22

25 -35 -23

26 -36 -23

26 -37 -23

26 -38 -2426 -40 -24

26 -41 -24

26 -42 -25

26 -43 -25

26 -44 -25

26 -45 -25

26 -46 -26

26 -47 -26

26 -48 -26

26 -49 -26

26 -50 -26

26 -51 -26

26 -52 -27

26 -53 -27

26 -54 -2726 -55 -27

26 -56 -27

26 -57 -27

26 -58 -27

26 -59 -27

26 -60 -28

26 -61 -28

26 -61 -28

26 -62 -28

26 -63 -28

26 -64 -28

26 -65 -28

26 -66 -28

26 -66 -28

26 -67 -28

26 -68 -28

26 -69 -28

26 -69 -28

26 -70 -28

26 -71 -28

26 -72 -28

26 -72 -28

26 -73 -28

26 -74 -28

26 -74 -28

26 -75 -28

26 -75 -28

26 -76 -28

26 -76 -28

26 -77 -28

26 -77 -28

26 -78 -28

26 -78 -28

26 -79 -28

26 -79 -28

26 -80 -28

26 -80 -28

26 -80 -28

26 -81 -27

26 -81 -27

26 -81 -27

27 -82 -27

27 -82 -27



27 -82 -27

27 -82 -27

27 -82 -27

27 -83 -27

27 -83 -27

27 -83 -27

27 -83 -27

27 -83 -27

27 -83 -27

27 -83 -27

27 -83 -2727 -83 -27

27 -83 -27

27 -83 -27

28 -83 -27

28 -83 -27

28 -83 -28

28 -83 -28

28 -83 -28

28 -83 -28

28 -83 -28

28 -83 -28

28 -83 -28

28 -83 -28

29 -83 -28

29 -83 -2829 -83 -29

29 -83 -29

29 -83 -29

29 -83 -29

29 -83 -29

30 -83 -30

30 -83 -30

30 -83 -30

30 -83 -30

30 -83 -31

30 -83 -31

30 -83 -31

30 -83 -31

31 -83 -32

31 -83 -32

31 -83 -32

31 -83 -33

31 -83 -33

31 -83 -33

31 -83 -34

31 -83 -34

31 -83 -34

31 -83 -35

31 -83 -35

32 -83 -35

32 -83 -36

32 -83 -36

32 -83 -36

32 -83 -37

32 -84 -37

32 -84 -37

32 -84 -38

32 -84 -38

32 -84 -38

32 -84 -39

32 -84 -39

32 -84 -39

32 -85 -40

32 -85 -40

32 -85 -40

32 -85 -41

32 -85 -41

32 -85 -42



32 -85 -42

32 -86 -42

32 -86 -43

32 -86 -43

32 -86 -43

32 -86 -43

32 -87 -44

32 -87 -44

32 -87 -44

32 -87 -45

31 -87 -4531 -87 -45

31 -88 -46

31 -88 -46

31 -88 -46

31 -88 -47

31 -88 -47

31 -88 -47

31 -89 -47

31 -89 -48

31 -89 -48

30 -89 -48

30 -89 -49

30 -90 -49

30 -90 -49

30 -90 -5030 -90 -50

30 -90 -50

29 -91 -51

29 -91 -51

29 -91 -51

29 -91 -52

28 -91 -52

28 -91 -52

28 -92 -53

27 -92 -53

27 -92 -54

27 -92 -54

26 -92 -55

26 -92 -55

25 -93 -56

25 -93 -56

24 -93 -56

24 -93 -57

24 -93 -57

23 -93 -58

23 -93 -58

22 -94 -58

22 -94 -59

21 -94 -59

21 -94 -59

20 -94 -59

20 -94 -59

20 -94 -59

19 -94 -59

19 -95 -59

19 -95 -59

18 -95 -59

18 -95 -59

18 -95 -59

18 -95 -59

17 -95 -59

17 -95 -59

17 -95 -59

17 -95 -59

17 -95 -58

16 -95 -58

16 -95 -58

16 -95 -58





15 -88 -50

15 -88 -49

15 -88 -49

15 -88 -49

15 -87 -49

15 -87 -49

15 -87 -49

15 -87 -49

16 -87 -49

16 -87 -49

16 -87 -4916 -87 -49

16 -87 -49

16 -86 -49

16 -86 -49

16 -86 -49

16 -86 -49

16 -86 -49

16 -86 -49

17 -86 -49

17 -86 -49

17 -86 -50

17 -86 -50

17 -86 -50

17 -86 -50

17 -86 -5017 -86 -50

17 -86 -50

18 -86 -51

18 -86 -51

18 -86 -51

18 -86 -51

18 -86 -51

18 -86 -52

18 -86 -52

18 -86 -52

18 -86 -52

18 -86 -53

19 -86 -53

19 -86 -53

19 -86 -53

19 -86 -54

19 -86 -54

19 -86 -54

19 -86 -54

19 -86 -55

19 -86 -55

19 -86 -55

19 -86 -56

19 -86 -56

19 -86 -56

19 -86 -57

19 -86 -57

20 -86 -57

20 -87 -57

20 -87 -58

20 -87 -58

20 -87 -58

20 -87 -59

20 -87 -59

20 -87 -59

20 -87 -60

20 -87 -60

20 -87 -60

20 -87 -61

20 -88 -61

20 -88 -61

20 -88 -62

20 -88 -62



20 -88 -62

20 -88 -63

20 -88 -63

20 -88 -63

20 -88 -63

20 -89 -64

20 -89 -64

20 -89 -64

20 -89 -65

20 -89 -65

20 -89 -6520 -89 -66

20 -89 -66

20 -89 -66

20 -90 -66

20 -90 -67

20 -90 -67

20 -90 -67

20 -90 -67

20 -90 -67

19 -90 -67

19 -90 -67

19 -90 -67

19 -91 -67

20 -91 -67

20 -91 -6720 -91 -67

20 -91 -67

20 -91 -66

20 -91 -66

20 -91 -66

20 -91 -66

20 -91 -65

20 -92 -65

21 -92 -65

21 -92 -64

21 -92 -64

21 -92 -64

22 -92 -63

22 -92 -63

22 -92 -63

22 -92 -63

23 -92 -62

23 -92 -62

23 -92 -62

23 -93 -62

24 -93 -62

24 -93 -62

24 -93 -62

24 -93 -62

25 -93 -62

25 -93 -62

25 -93 -62

25 -93 -62

25 -93 -62

25 -93 -62

26 -93 -62

26 -93 -62

26 -93 -62

26 -93 -62

26 -93 -62

26 -93 -62

26 -93 -62

26 -93 -63

27 -93 -63

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20 21 22 23 24 25 26 27 28 29 30 31 32

0.314159 0.329867 0.345575 0.361283 0.376991 0.392699 0.408407 0.424115 0.439823 0.455531 0.471239 0.486947 0.502655

3.62E-23 2.88E-22 2.06E-21 1.34E-20 8.01E-20 4.42E-19 2.26E-18 1.08E-17 4.83E-17 2.04E-16 8.13E-16 3.08E-15 1.11E-14





























































33 34 35 36 37 38 39 40 41 42 43 44 45

0.518363 0.534071 0.549779 0.565487 0.581195 0.596903 0.612611 0.628319 0.644026 0.659734 0.675442 0.69115 0.706858

3.8E-14 1.25E-13 3.94E-13 1.19E-12 3.48E-12 9.8E-12 2.66E-11 7.01E-11 1.79E-10 4.42E-10 1.06E-09 2.48E-09 5.65E-09





























































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0.722566 0.738274 0.753982 0.76969 0.785398 0.801106 0.816814 0.832522 0.84823 0.863938 0.879646 0.895354 0.911062

1.25E-08 2.71E-08 5.72E-08 1.18E-07 2.38E-07 4.71E-07 9.1E-07 1.72E-06 3.2E-06 5.83E-06 1.04E-05 1.83E-05 3.16E-05





























































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0.92677 0.942478 0.958186 0.973894 0.989602 1.00531 1.021018 1.036726 1.052434 1.068142 1.083849 1.099557 1.115265

5.35E-05 8.92E-05 0.000146 0.000236 0.000374 0.000584 0.000899 0.001363 0.002036 0.002998 0.004353 0.006234 0.008805





























































72 73 74 75 76 77 78 79 80 81 82 83 84

1.130973 1.146681 1.162389 1.178097 1.193805 1.209513 1.225221 1.240929 1.256637 1.272345 1.288053 1.303761 1.319469

0.012271 0.016876 0.022907 0.030696 0.040612 0.053062 0.068473 0.087284 0.10992 0.136776 0.168182 0.204379 0.245485





























































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1.335177 1.350885 1.366593 1.382301 1.398009 1.413717 1.429425 1.445133 1.460841 1.476549 1.492257 1.507964 1.523672

0.291465 0.342107 0.396997 0.455506 0.516791 0.579798 0.643288 0.705867 0.766038 0.822252 0.872976 0.91676 0.952302





























































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1.53938 1.555088 1.570796

0.978517 0.994586 1



Introduction

CONTENTS:


Introduction

Instructions

About NxtPhase

Introduction

Use this CT Saturation Calculator to predict your system's CT saturation issues. First you'll enter the type of transformer you are usingand its specific characteristics. Then specify an input signal and let our calculator predict distortion on the output signal.

Note:This program is intended to show LARGE CURRENT or HIGH BURDEN behavior only; it does not accurately represent the conditionsat the low end portion of the iron saturation curve. Consequently, hysteresis loss and eddy current loss are not modeled becausethey have negligible effect on the saturation region behavior.

Another assumption is that the usual log-log plot of rms voltage versus rms current for the saturation curve is correct when plottedas a straight line for the saturated portion of the curve. This implies a pure power law relating instantaneous voltage toinstantaneous current, and the slope of the upper portion of the commonly-used log-log plot is in the neighborhood of 1/20 for amodern toroidal CT. The value for Vs, the "saturation voltage," is assumed to be at a properly measured rms value of 10 amps

excitation current, the voltage being sinusoidal and the current being related to flux by an Sth(only) order function. If the 10-ampvalue is measured using a 'not-true-rms' meter, the error is not great enough to cause significant error.

The program has been checked against a variety of examples, including those of the recent IEEE paper "Mathematical Models forCurrent, Voltage, and Coupling Capacitor Voltage Transformers," Working Group C5 of PSRC, IEEE Trans on Power Delivery, Jan2000, pp. 62-72. (Note that there is an error in figures 4a and 5a of that paper: there was actually non-zero remanence for thiscase, as confirmed with the authors.)

Version: 11 June 2002

Page 272







CONTENTS:


Introduction

Instructions About NxtPhase

Instructions

1. Determine the saturation voltage (Vs) for the CT in question. This is defined as the rms excitation voltage at the ten-per-

cent error current. For example, for a nominal five-amp CT which is expected to handle 100 amps with a ten per cent error,

the error current at a given Vs, is ten amps.* For maximum accuracy, this should be a measured value supplied by the

manufacturer. For example, a C400 CT has a nominal Vs of 400 volts rms, but the actual measured Vs will be a higher

Note: actual measurements by the manufacturer may not have been made with a "true rms" meter. It has been determined

that the error due to use of a "rectified average" type meter, for example, is not significant.

2. Determine the slope (1/S) of the upper part of the saturation curve, being careful that the curve is plotted on log-log scales

with the decade spacing equal on both axes. "S" is defined as the reciprocal of this slope. You should get a slope such that

S is in the neighborhood of 15<S<25. Note that the result is not very sensitive to the value of S. SEE FIGURE BELOW.

3. Enter other parameters such as the CT winding resistance, the burden, the degree of dc-offset in the primary current

waveform (up to 1 per unit), the primary system X/R ratio, the remanence**, and the primary symmetrical rms current.

Once any change to an INPUT parameter is made, a new plot appears automatically. The scale adjustment is automatic and

the plot is believed to be self-explanatory.

*This is a convenient definition that is not strictly correct. If the ideal secondary current is 100 amps rms and the exciting (error) current is

10 amps rms, then the actual secondary current is typically 93 amps rms, not 90 amps rms. This is because the exciting current is both out

of phase and non-sinusoidal, so simple subtraction does not apply.

**Note that the per unit remanence is defined relative to Vs. If the knee-point voltage (45 degree slope point) is 80% of Vs, then the

maximum remanence value is 0.8. Note that the polarities for this simulation are such that a positive remanence is the "worst-case"

0

1

2

3

4

5

6

7

8

9

1 0

slope = 0.7/9.3 = 1/S

S = 9.3/0.7 = 13

Ruler, inches or centimeters

Use a ruler to determine the slope.Do NOT read currents or voltages for this purpose.(We assume equal decade spacing of the axes)

HOW TO MEASURE THE SLOPE

















CONTENTS:


Introduction

Instructions About NxtPhase

About NxtPhase

APT Relays and Recorders

Our APT relay and recorder products are smart, easy to use and meet the challenges of the changing utility industry. They

achieve a new level in integrated protection, monitoring and high-quality recording that are streamlined for installation,

operation and maintenance. Our products offer:

*a state-of-the-art hardware platform

*easy to use setting and analysis software

*an intuitive Windows-driven setting system

Our product line includes:

L-PRO Transmission Line Protection Relay

T-PRO Transformer Protection Relay

F-PRO Feeder Protection Relay

B-PRO Bus Protection Relay

TESLA Disturbance Fault Recorder

RecordBase Central Station

For additional information, visit our website at:

www.nxtphase.com

or email us at [email protected]

http://www.nxtphase.com/sub-products-apt_relays-lpro.htm

http://www.nxtphase.com/

http://www.nxtphase.com/

http://www.nxtphase.com/sub-products-apt_relays-lpro.htm









CT_SAT_Calculator - IEEE Version

Documents