Spread of probability due to Curve
Venus
28 March 2016
1.Summary
Revision 1.
This report is about the Lewis-Keenan Carbondating discussion, as discussed at length at varous blogs, notably Bishop-Hill.net and ClimateAudit.org.
It is shown that the probability is spread out over the “flat period”,
thanks to an interplay of 2 factors in the mapping formula used: the Jeffrey prior or derivative of calibraction curve, and the corresponding measurements probabilities
note if this report looks complicated, it is because it is a Rmd document :
it contains all the code and results and is completely self contained and executable.
Only the code from this document led to the plots and results.
It is also complicated because it preserves the code and method used in the past.
2.Original graph and code
This is the NicLewis code producing the graph “fig.2” of:
http://climateaudit.org/2014/04/17/radiocarbon-calibration-and-bayesian-inference/
# Create required functions: for calibration curve; one-sided coverage calculation; coverage plotting; and calcualtion of percentage points
# calibration curve and its constituent sigmoid and their derivatives
sig= function(t, bend, rate, size) { size/(1 + exp((bend-t)*rate) ) }
rc_t= function(t, bend, rate, size) { sig(t,bend[1],rate[1],size[1]) + sig(t,bend[2],rate[2],size[2]) + sig(t,bend[3],rate[3],size[3]) + ifelse(length(bend)>3, sig(t,bend[4],rate[4],size[4]), 0) }
dsig= function(t, bend, rate, size) { rate*exp((bend-t)*rate) * size/(1 + exp((bend-t)*rate) )^2 }
drc_t= function(t, bend, rate, size) { dsig(t,bend[1],rate[1],size[1]) + dsig(t,bend[2],rate[2],size[2]) + dsig(t,bend[3],rate[3],size[3]) + ifelse(length(bend)>3, dsig(t,bend[4],rate[4],size[4]), 0) }
# set calibration age range and characteristics of sum-of-sigmoids calibration curve
c_t= 0:2000
bends= c(200,1000, 1870)
rates= 1/c(60,10,60)
sizes= c(1000,100,1000)
# illustrate the setup for a measurement corresponding to a calibration curve plateau region
rc_o= 1000
rc_sd= 60
f_obs= 50000*dnorm( c_t, rc_o, sqrt(rc_sd^2-(30/4)^2) )
lhood= dnorm( rc_t(c_t, bends, rates, sizes), rc_o, rc_sd )
lhood= lhood/sum(lhood)
calib= rc_t(c_t, bends, rates, sizes)
jp= drc_t(c_t, bends, rates, sizes)
ob.post= jp * lhood/ sum(jp * lhood)
par(mar=c(6.1,4.1,6.1,4.1))
plot(c_t, calib, type='l', lty=1, lwd=3, main='Stylised radiocarbon dating calibration curve, example observation\nerror distribution and resulting Bayesian posterior probability densities', ylim=c(0,2000), xlim=c(2000,0), xlab='Calendar age', ylab='Radiocarbon determination', cex.axis=1.3, cex.lab=1.3, cex.main=1.4, xaxs='i', yaxs='i')
lines(c_t, calib+10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib-10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib, col=1, lwd=2, lty=1)
lines(2000-f_obs, 0:2000, col='orangered1', lwd=3, lty=1)
lines(c_t, 75000*lhood, col='orchid1', lwd=3, lty=1)
lines(c_t, 75000*ob.post, col='springgreen2', lwd=3, lty=1)
lines(c_t, 75000*jp/sum(jp), col='springgreen2', lwd=3, lty=3)
legend('topright', c('Calibration curve: radiocarbon vs calendar age','Radiocarbon age error distribution','Bayesian posterior PDF using uniform prior','Bayesian posterior PDF using objective prior','Objective prior used (Jeffreys prior)'), title='', lwd=c(3,3,3,3,3), lty=c(1,1,1,1,3), col=c(1, 'orangered1', 'orchid1', 'springgreen2', 'springgreen2'), bty='n', cex=1.3)
axis(side=4, at=c(0,375,750,1125), labels= c('0', '0.005','0.01','0.015'), tick=TRUE, cex.axis=1.3, line=0)
text(35,690, 'Probability density', adj=0.4, cex=1.3, srt=90)
4.Comments on calibration curve and method
Below is a plot of the calibration curve. The usual way to plot curves is to have the variate on the Abscis and the function/curve on the ordinate.
This is not done for this calibration curve.
It is inversed. the variate is on the ordinate.
The curve is in a rectangular window which obfuscates a bit the 1-2000 yearspan on both abscis and ordinate It has reversed direction for abscis.
The inversion is done for good reason, as the inversion is key to establishing the probability PDF of the output. I refer to the wikipedia link:
https://en.wikipedia.org/wiki/Integration_by_substitution#Application_in_probability
Here it is described how to preserve probability when doing a mapping of a measurement/PDF.
Note that in the formula:
\[ p_y(y) = p_x(\phi^{-1}(y)) ~ \left|\frac{d\phi^{-1}}{dy}\right|. \]
Y corresponds to “calendar age”, the abscis of the calibration curve
and X corresponds to carbon age, the ordinate of the calibration curve.
So the calibration curve indeed professes to the inverse function, of what we want to establish (the calendar age for a carbon age observation/measurement/PDF).
It would have been more helpful to rename “carbon age” into “measurement output”.
The curve is monotone rising , giving to a positive slope/derivative. Due to reverse plotting this appears the opposite, but it does not matter, as the above formula takes the Absolute value anyway.
i will keep all names, calculations and plot setup as is , for what follows. Only the form of the calibration curve , and by necessity the way of derivation, and the position of the measurement on the ordinate will be improved upon in the next sections.
I put the calibration curve in a df in order to be able to differentiate (and eventually invert back in other revisions).
calib<-as.data.frame(cbind(calib,1:2001))
colnames(calib)<-c("carbonage","calenderage")
plot(x=calib$calenderage,y=calib$carbonage, main="PHIminusONE aka calibration curve",xlim=c(2001,0))
5 comments on Keenans code and method
I have for the moment no time for a detailed analysis as this requires translating its code to R.
I just mention the method led to the measurements variation to be entirely spread out over the 1500-500y period.
See:
http://climateaudit.org/2014/04/17/radiocarbon-calibration-and-bayesian-inference/ Figure 1.
The Keenan calibration curve dropped over this period for at least 100y, and can be seen to have many troughs and peaks.
A lot of the probability was smeared into the bends at both ends (500y, 1500y) as well, but due to positioning the measurements density was very low there already.
6. Change: Numerical derivation
I will now differentiate numerically,instead of using the sigmoids derivation trick, and check if I get same JP plot:
looks okay and similar to the dashed green line in first plot!
jp2<-(calib[1:2000,1]-calib[2:2001,1])/(calib[1:2000,2]-calib[2:2001,2])
sum(is.na(jp2))## [1] 0jp2<-c(jp2,0)
plot(x=calib$calenderage,y=jp2, main="JP derived discretely",xlim=c(2001,0),lty=3,lwd=1,col="springgreen2")
7. change: improve calibration curve
The calibration curve has a bump in the middle of the “flat period” (calendar age 500-1500)
This only causes confusion and does not help for the point been made here.
The calibration curve its flat period is TOO flat, this causes the period to not influence really the calendar age, as most of the measurements PDF will be outside this flat period, or their probabilities will be multiplied with a Zero slope.
For these reasons, the curve is improved.
Now an easier slope is patched into the calibration curve, for the years 500-1500:
calib2<-calib
patch<-993.2+seq(from=1,to=(1102.07-993.2),length.out=1001)
calib2[500:1500,1]<-patchPatched calibration curve:
plot(x=calib2$calenderage,y=calib2$carbonage, main="calibration curve patched",xlim=c(2001,0))
Note the calibration curve now drops 110y(1102.07-993.2) over a period of 1000y (1500-500)
So thats a slope/derivation of 0.1 (much higher than the near zero of the original plot in the 1500-500y)
The recalculated JP, derived discretely from patched CCurve, looks acceptable:
jp2<-(calib2[1:2000,1]-calib2[2:2001,1])/(calib2[1:2000,2]-calib2[2:2001,2])
sum(is.na(jp2))## [1] 0jp2<-c(jp2,0)
plot(x=calib2$calenderage,y=jp2, main="JP, derived discretely from patched CCurve ",xlim=c(2001,0),ylim=c(0,5))
Note:
At both ends of the patch a discontinuity is seen (on the derivation) due to mismatch with the sigmoids derived curve. This can easily be fixed, but I leave it for now as “markers”. Although visible as a kink(at ca=1500) and a spike(at ca=500), their effect is minimal for the dispersion of uncertainty as these are just very small areas.
8. Change: Improved plots.
We now reproduce the plots with the included changes on calibration curve, its derivative, and the position of the measurement: the result plots are 3* amplified to make more visible.
A. plot1
The first plot positions the measurement at carbonage=1050 which, as can be seen from the plots and data ensures more of the measurement PDF to be centered in the flat period.
All the rest remains the same.
# Create required functions: for calibration curve; one-sided coverage calculation; coverage plotting; and calcualtion of percentage points
rc_o= 1050
rc_sd= 60
f_obs= 50000*dnorm( c_t, rc_o, sqrt(rc_sd^2-(30/4)^2) )
#sdfs
lhood= dnorm(calib2[,1], rc_o, rc_sd )
lhood= lhood/sum(lhood)
ob.post= jp2 * lhood/ sum(jp2 * lhood)
par(mar=c(6.1,4.1,6.1,4.1))
plot(c_t, calib2[,1], type='l', lty=1, lwd=3, main='plot1 with carbon age mean=1050, sd=60y', ylim=c(0,2000), xlim=c(2000,0), xlab='Calendar age', ylab='Radiocarbon determination', cex.axis=1.3, cex.lab=1.3, cex.main=1.4, xaxs='i', yaxs='i')
lines(c_t, calib2[,1]+10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib2[,1]-10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib2[,1], col=1, lwd=2, lty=1)
lines(2000-f_obs, 0:2000, col='orangered1', lwd=3, lty=1)
lines(c_t, 3*75000*lhood, col='orchid1', lwd=3, lty=1)
lines(c_t, 3*75000*ob.post, col='springgreen2', lwd=3, lty=1)
lines(c_t, 3*75000*jp2/sum(jp2), col='springgreen2', lwd=3, lty=3)
legend('topright', c('Calibration curve: radiocarbon vs calendar age','Radiocarbon age error distribution','Bayesian posterior PDF using uniform prior','Bayesian posterior PDF using objective prior','Objective prior used (Jeffreys prior)'), title='', lwd=c(3,3,3,3,3), lty=c(1,1,1,1,3), col=c(1, 'orangered1', 'orchid1', 'springgreen2', 'springgreen2'), bty='n', cex=1.3)
axis(side=4, at=c(0,375,750,1125), labels= c('0', '0.005','0.01','0.015'), tick=TRUE, cex.axis=1.3, line=0)
text(35,690, 'Probability density', adj=0.4, cex=1.3, srt=90)
B. plot2
The second plot positions the measurement at carbonage=1050 which, as can be seen from the plots and data ensures more of the measurement PDF to be centered in the flat period.
the measurement is more narrowed with a SD=30y instead of 60y. All the rest remains the same.
# Create required functions: for calibration curve; one-sided coverage calculation; coverage plotting; and calcualtion of percentage points
rc_o= 1050
rc_sd= 30
f_obs= 50000*dnorm( c_t, rc_o, sqrt(rc_sd^2-(30/4)^2) )
#
lhood= dnorm(calib2[,1], rc_o, rc_sd )
lhood= lhood/sum(lhood)
ob.post= jp2 * lhood/ sum(jp2 * lhood)
par(mar=c(6.1,4.1,6.1,4.1))
plot(c_t, calib2[,1], type='l', lty=1, lwd=3, main='plot2 with carbon age mean=1050, sd=30y', ylim=c(0,2000), xlim=c(2000,0), xlab='Calendar age', ylab='Radiocarbon determination', cex.axis=1.3, cex.lab=1.3, cex.main=1.4, xaxs='i', yaxs='i')
lines(c_t, calib2[,1]+10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib2[,1]-10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib2[,1], col=1, lwd=2, lty=1)
lines(2000-f_obs, 0:2000, col='orangered1', lwd=3, lty=1)
lines(c_t, 3*75000*lhood, col='orchid1', lwd=3, lty=1)
lines(c_t, 3*75000*ob.post, col='springgreen2', lwd=3, lty=1)
lines(c_t, 3*75000*jp2/sum(jp2), col='springgreen2', lwd=3, lty=3)
legend('topright', c('Calibration curve: radiocarbon vs calendar age','Radiocarbon age error distribution','Bayesian posterior PDF using uniform prior','Bayesian posterior PDF using objective prior','Objective prior used (Jeffreys prior)'), title='', lwd=c(3,3,3,3,3), lty=c(1,1,1,1,3), col=c(1, 'orangered1', 'orchid1', 'springgreen2', 'springgreen2'), bty='n', cex=1.3)
axis(side=4, at=c(0,375,750,1125), labels= c('0', '0.005','0.01','0.015'), tick=TRUE, cex.axis=1.3, line=0)
text(35,690, 'Probability density', adj=0.4, cex=1.3, srt=90)
C. plot3
The first plot positions the measurement at carbonage=1050 which, as can be seen from the plots and data ensures more of the measurement PDF to be centered in the flat period.
the emasurement SD is set to 120y
All the rest remains the same.
# Create required functions: for calibration curve; one-sided coverage calculation; coverage plotting; and calcualtion of percentage points
rc_o= 1050
rc_sd= 120
f_obs= 50000*dnorm( c_t, rc_o, sqrt(rc_sd^2-(30/4)^2) )
#
lhood= dnorm(calib2[,1], rc_o, rc_sd )
lhood= lhood/sum(lhood)
ob.post= jp2 * lhood/ sum(jp2 * lhood)
par(mar=c(6.1,4.1,6.1,4.1))
plot(c_t, calib2[,1], type='l', lty=1, lwd=3, main='plot3 with carbon age mean=1050, sd=120y', ylim=c(0,2000), xlim=c(2000,0), xlab='Calendar age', ylab='Radiocarbon determination', cex.axis=1.3, cex.lab=1.3, cex.main=1.4, xaxs='i', yaxs='i')
lines(c_t, calib2[,1]+10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib2[,1]-10, col='grey75', lwd=3.5, lty=1)
lines(c_t, calib2[,1], col=1, lwd=2, lty=1)
lines(2000-f_obs, 0:2000, col='orangered1', lwd=3, lty=1)
lines(c_t, 3*75000*lhood, col='orchid1', lwd=3, lty=1)
lines(c_t, 3*75000*ob.post, col='springgreen2', lwd=3, lty=1)
lines(c_t, 3*75000*jp2/sum(jp2), col='springgreen2', lwd=3, lty=3)
legend('topright', c('Calibration curve: radiocarbon vs calendar age','Radiocarbon age error distribution','Bayesian posterior PDF using uniform prior','Bayesian posterior PDF using objective prior','Objective prior used (Jeffreys prior)'), title='', lwd=c(3,3,3,3,3), lty=c(1,1,1,1,3), col=c(1, 'orangered1', 'orchid1', 'springgreen2', 'springgreen2'), bty='n', cex=1.3)
axis(side=4, at=c(0,375,750,1125), labels= c('0', '0.005','0.01','0.015'), tick=TRUE, cex.axis=1.3, line=0)
text(35,690, 'Probability density', adj=0.4, cex=1.3, srt=90)
9.Conclusion
Keenan and Niclewis method (for “Bayesian posterior PDF using objective prior” = ob.post) yield essentially the same results.
They spread the probability over the flat period, like they should.
This should not be surprising as they are both correctly mapping probability.
If there are peaks and thorughs in a period, the probability will accumulate there more, like it can be seen in the original plot, the very first plot of this report, in the 1000y period.
In the Keenan numerical method there are just many more peaks and troughs in the flat period, and these are easily accounted for discretely.
10 Data
calib[,1]## [1] 34.44520 35.00383 35.57119 36.14740 36.73259 37.32689
## [7] 37.93042 38.54332 39.16572 39.79776 40.43956 41.09128
## [13] 41.75304 42.42498 43.10725 43.80000 44.50336 45.21747
## [19] 45.94250 46.67858 47.42587 48.18452 48.95468 49.73651
## [25] 50.53016 51.33579 52.15356 52.98363 53.82616 54.68132
## [31] 55.54926 56.43016 57.32418 58.23148 59.15225 60.08665
## [37] 61.03485 61.99703 62.97336 63.96401 64.96917 65.98901
## [43] 67.02371 68.07345 69.13842 70.21879 71.31475 72.42649
## [49] 73.55418 74.69801 75.85818 77.03487 78.22826 79.43855
## [55] 80.66592 81.91058 83.17270 84.45247 85.75010 87.06577
## [61] 88.39968 89.75201 91.12296 92.51273 93.92150 95.34946
## [67] 96.79683 98.26377 99.75049 101.25718 102.78402 104.33122
## [73] 105.89896 107.48743 109.09682 110.72732 112.37911 114.05238
## [79] 115.74732 117.46410 119.20292 120.96395 122.74737 124.55336
## [85] 126.38209 128.23374 130.10847 132.00647 133.92789 135.87290
## [91] 137.84166 139.83433 141.85106 143.89202 145.95735 148.04720
## [97] 150.16171 152.30102 154.46527 156.65458 158.86910 161.10895
## [103] 163.37424 165.66509 167.98161 170.32392 172.69210 175.08627
## [109] 177.50650 179.95289 182.42552 184.92447 187.44979 190.00157
## [115] 192.57984 195.18468 197.81611 200.47419 203.15893 205.87037
## [121] 208.60853 211.37341 214.16502 216.98335 219.82840 222.70014
## [127] 225.59855 228.52359 231.47522 234.45338 237.45803 240.48908
## [133] 243.54647 246.63011 249.73989 252.87573 256.03751 259.22510
## [139] 262.43838 265.67720 268.94142 272.23088 275.54540 278.88482
## [145] 282.24894 285.63757 289.05050 292.48751 295.94837 299.43286
## [151] 302.94072 306.47169 310.02552 313.60192 317.20061 320.82130
## [157] 324.46368 328.12743 331.81223 335.51774 339.24363 342.98954
## [163] 346.75510 350.53995 354.34369 358.16595 362.00633 365.86441
## [169] 369.73978 373.63201 377.54067 381.46532 385.40550 389.36077
## [175] 393.33064 397.31466 401.31234 405.32319 409.34672 413.38242
## [181] 417.42979 421.48832 425.55748 429.63676 433.72561 437.82350
## [187] 441.92989 446.04425 450.16600 454.29461 458.42952 462.57015
## [193] 466.71596 470.86637 475.02081 479.17871 483.33950 487.50260
## [199] 491.66744 495.83343 500.00000 504.16657 508.33256 512.49740
## [205] 516.66050 520.82129 524.97919 529.13363 533.28404 537.42985
## [211] 541.57048 545.70539 549.83400 553.95575 558.07011 562.17650
## [217] 566.27439 570.36324 574.44252 578.51168 582.57021 586.61758
## [223] 590.65328 594.67681 598.68766 602.68534 606.66936 610.63923
## [229] 614.59450 618.53468 622.45933 626.36799 630.26022 634.13559
## [235] 637.99367 641.83405 645.65631 649.46005 653.24490 657.01046
## [241] 660.75637 664.48226 668.18777 671.87257 675.53632 679.17870
## [247] 682.79939 686.39808 689.97448 693.52831 697.05928 700.56714
## [253] 704.05163 707.51249 710.94950 714.36243 717.75106 721.11518
## [259] 724.45460 727.76912 731.05858 734.32280 737.56162 740.77490
## [265] 743.96249 747.12427 750.26011 753.36989 756.45353 759.51092
## [271] 762.54197 765.54662 768.52478 771.47641 774.40145 777.29986
## [277] 780.17160 783.01665 785.83498 788.62659 791.39147 794.12963
## [283] 796.84107 799.52581 802.18389 804.81532 807.42016 809.99843
## [289] 812.55021 815.07553 817.57448 820.04711 822.49350 824.91373
## [295] 827.30790 829.67608 832.01839 834.33491 836.62576 838.89105
## [301] 841.13090 843.34542 845.53473 847.69898 849.83829 851.95280
## [307] 854.04265 856.10798 858.14894 860.16567 862.15834 864.12710
## [313] 866.07211 867.99353 869.89153 871.76626 873.61791 875.44664
## [319] 877.25263 879.03605 880.79708 882.53590 884.25268 885.94762
## [325] 887.62089 889.27268 890.90318 892.51257 894.10104 895.66878
## [331] 897.21598 898.74282 900.24951 901.73623 903.20317 904.65054
## [337] 906.07850 907.48727 908.87704 910.24799 911.60032 912.93423
## [343] 914.24990 915.54753 916.82730 918.08942 919.33408 920.56145
## [349] 921.77174 922.96513 924.14182 925.30199 926.44582 927.57351
## [355] 928.68525 929.78121 930.86158 931.92655 932.97629 934.01099
## [361] 935.03083 936.03599 937.02664 938.00297 938.96515 939.91335
## [367] 940.84775 941.76852 942.67582 943.56984 944.45074 945.31868
## [373] 946.17384 947.01637 947.84644 948.66421 949.46984 950.26349
## [379] 951.04532 951.81548 952.57413 953.32142 954.05750 954.78253
## [385] 955.49664 956.20000 956.89275 957.57502 958.24696 958.90872
## [391] 959.56044 960.20224 960.83428 961.45668 962.06958 962.67311
## [397] 963.26741 963.85260 964.42881 964.99617 965.55480 966.10484
## [403] 966.64639 967.17958 967.70454 968.22137 968.73020 969.23114
## [409] 969.72431 970.20981 970.68777 971.15828 971.62147 972.07743
## [415] 972.52627 972.96809 973.40301 973.83111 974.25251 974.66730
## [421] 975.07557 975.47744 975.87298 976.26230 976.64548 977.02263
## [427] 977.39383 977.75916 978.11873 978.47261 978.82089 979.16366
## [433] 979.50099 979.83298 980.15969 980.48122 980.79765 981.10904
## [439] 981.41548 981.71703 982.01379 982.30582 982.59318 982.87597
## [445] 983.15423 983.42806 983.69750 983.96264 984.22353 984.48024
## [451] 984.73285 984.98140 985.22597 985.46661 985.70339 985.93637
## [457] 986.16561 986.39116 986.61308 986.83143 987.04627 987.25765
## [463] 987.46562 987.67024 987.87157 988.06964 988.26452 988.45625
## [469] 988.64488 988.83047 989.01306 989.19269 989.36942 989.54329
## [475] 989.71435 989.88264 990.04820 990.21108 990.37132 990.52896
## [481] 990.68404 990.83661 990.98670 991.13436 991.27962 991.42251
## [487] 991.56309 991.70138 991.83743 991.97126 992.10292 992.23243
## [493] 992.35984 992.48517 992.60846 992.72974 992.84905 992.96641
## [499] 993.08186 993.19543 993.30715 993.41704 993.52515 993.63148
## [505] 993.73609 993.83898 993.94020 994.03976 994.13770 994.23403
## [511] 994.32880 994.42201 994.51370 994.60389 994.69261 994.77987
## [517] 994.86571 994.95015 995.03320 995.11489 995.19525 995.27429
## [523] 995.35203 995.42851 995.50373 995.57772 995.65049 995.72207
## [529] 995.79249 995.86174 995.92986 995.99687 996.06277 996.12760
## [535] 996.19136 996.25407 996.31576 996.37643 996.43611 996.49481
## [541] 996.55255 996.60934 996.66519 996.72013 996.77417 996.82732
## [547] 996.87959 996.93101 996.98158 997.03133 997.08025 997.12837
## [553] 997.17570 997.22225 997.26804 997.31307 997.35737 997.40093
## [559] 997.44378 997.48593 997.52738 997.56815 997.60825 997.64768
## [565] 997.68648 997.72463 997.76215 997.79906 997.83536 997.87106
## [571] 997.90618 997.94071 997.97468 998.00809 998.04095 998.07327
## [577] 998.10505 998.13631 998.16706 998.19730 998.22705 998.25630
## [583] 998.28507 998.31337 998.34120 998.36857 998.39549 998.42197
## [589] 998.44801 998.47363 998.49882 998.52359 998.54796 998.57193
## [595] 998.59550 998.61868 998.64148 998.66391 998.68596 998.70765
## [601] 998.72898 998.74997 998.77060 998.79090 998.81086 998.83049
## [607] 998.84980 998.86879 998.88746 998.90583 998.92390 998.94167
## [613] 998.95914 998.97633 998.99323 999.00985 999.02620 999.04228
## [619] 999.05810 999.07365 999.08895 999.10399 999.11879 999.13334
## [625] 999.14766 999.16173 999.17558 999.18919 999.20258 999.21575
## [631] 999.22870 999.24144 999.25397 999.26629 999.27841 999.29033
## [637] 999.30205 999.31358 999.32492 999.33607 999.34704 999.35782
## [643] 999.36843 999.37886 999.38912 999.39921 999.40914 999.41890
## [649] 999.42850 999.43794 999.44722 999.45635 999.46534 999.47417
## [655] 999.48285 999.49140 999.49980 999.50806 999.51619 999.52418
## [661] 999.53205 999.53978 999.54738 999.55486 999.56221 999.56944
## [667] 999.57656 999.58355 999.59043 999.59720 999.60386 999.61040
## [673] 999.61684 999.62317 999.62940 999.63552 999.64154 999.64746
## [679] 999.65329 999.65902 999.66465 999.67019 999.67564 999.68100
## [685] 999.68627 999.69146 999.69656 999.70157 999.70650 999.71135
## [691] 999.71612 999.72081 999.72542 999.72996 999.73442 999.73881
## [697] 999.74313 999.74737 999.75155 999.75565 999.75969 999.76366
## [703] 999.76757 999.77141 999.77519 999.77890 999.78256 999.78615
## [709] 999.78968 999.79316 999.79658 999.79994 999.80324 999.80650
## [715] 999.80969 999.81284 999.81593 999.81897 999.82197 999.82491
## [721] 999.82780 999.83065 999.83345 999.83620 999.83891 999.84157
## [727] 999.84419 999.84676 999.84930 999.85179 999.85424 999.85664
## [733] 999.85901 999.86134 999.86364 999.86589 999.86811 999.87029
## [739] 999.87243 999.87454 999.87661 999.87865 999.88066 999.88263
## [745] 999.88457 999.88648 999.88835 999.89020 999.89201 999.89380
## [751] 999.89555 999.89728 999.89898 999.90065 999.90229 999.90391
## [757] 999.90549 999.90706 999.90859 999.91010 999.91159 999.91305
## [763] 999.91449 999.91590 999.91729 999.91866 999.92000 999.92133
## [769] 999.92263 999.92391 999.92516 999.92640 999.92762 999.92882
## [775] 999.92999 999.93115 999.93229 999.93341 999.93451 999.93559
## [781] 999.93666 999.93770 999.93873 999.93975 999.94074 999.94172
## [787] 999.94269 999.94363 999.94457 999.94548 999.94638 999.94727
## [793] 999.94814 999.94900 999.94984 999.95067 999.95149 999.95229
## [799] 999.95308 999.95386 999.95462 999.95537 999.95611 999.95684
## [805] 999.95755 999.95825 999.95894 999.95962 999.96029 999.96095
## [811] 999.96159 999.96223 999.96285 999.96347 999.96407 999.96467
## [817] 999.96525 999.96583 999.96639 999.96695 999.96750 999.96804
## [823] 999.96856 999.96909 999.96960 999.97010 999.97060 999.97108
## [829] 999.97156 999.97203 999.97250 999.97295 999.97340 999.97384
## [835] 999.97428 999.97470 999.97512 999.97554 999.97594 999.97634
## [841] 999.97674 999.97712 999.97751 999.97788 999.97825 999.97861
## [847] 999.97897 999.97932 999.97967 999.98001 999.98034 999.98067
## [853] 999.98100 999.98132 999.98163 999.98194 999.98225 999.98255
## [859] 999.98285 999.98314 999.98343 999.98372 999.98400 999.98428
## [865] 999.98455 999.98482 999.98509 999.98536 999.98562 999.98589
## [871] 999.98615 999.98640 999.98666 999.98692 999.98717 999.98743
## [877] 999.98768 999.98794 999.98820 999.98845 999.98872 999.98898
## [883] 999.98925 999.98952 999.98979 999.99008 999.99037 999.99066
## [889] 999.99097 999.99129 999.99162 999.99197 999.99233 999.99270
## [895] 999.99310 999.99352 999.99397 999.99444 999.99494 999.99548
## [901] 999.99606 999.99668 999.99735 999.99807 999.99885 999.99970
## [907] 1000.00062 1000.00162 1000.00271 1000.00390 1000.00519 1000.00661
## [913] 1000.00817 1000.00987 1000.01174 1000.01379 1000.01604 1000.01851
## [919] 1000.02123 1000.02423 1000.02752 1000.03115 1000.03515 1000.03956
## [925] 1000.04441 1000.04977 1000.05568 1000.06219 1000.06938 1000.07731
## [931] 1000.08606 1000.09572 1000.10639 1000.11816 1000.13115 1000.14550
## [937] 1000.16135 1000.17884 1000.19816 1000.21949 1000.24305 1000.26905
## [943] 1000.29778 1000.32949 1000.36450 1000.40316 1000.44585 1000.49297
## [949] 1000.54499 1000.60241 1000.66578 1000.73571 1000.81288 1000.89802
## [955] 1000.99193 1001.09550 1001.20971 1001.33562 1001.47439 1001.62730
## [961] 1001.79573 1001.98119 1002.18534 1002.40997 1002.65703 1002.92860
## [967] 1003.22698 1003.55460 1003.91411 1004.30831 1004.74022 1005.21304
## [973] 1005.73015 1006.29512 1006.91167 1007.58369 1008.31519 1009.11026
## [979] 1009.97306 1010.90774 1011.91839 1013.00899 1014.18329 1015.44476
## [985] 1016.79643 1018.24087 1019.77997 1021.41490 1023.14596 1024.97246
## [991] 1026.89266 1028.90360 1031.00114 1033.17985 1035.43304 1037.75277
## [997] 1040.12997 1042.55453 1045.01541 1047.50093 1049.99888 1052.49684
## [1003] 1054.98235 1057.44324 1059.86779 1062.24499 1064.56472 1066.81790
## [1009] 1068.99661 1071.09414 1073.10508 1075.02527 1076.85177 1078.58282
## [1015] 1080.21774 1081.75683 1083.20126 1084.55292 1085.81437 1086.98866
## [1021] 1088.07925 1089.08989 1090.02456 1090.88734 1091.68240 1092.41388
## [1027] 1093.08589 1093.70242 1094.26737 1094.78446 1095.25726 1095.68915
## [1033] 1096.08334 1096.44282 1096.77042 1097.06878 1097.34033 1097.58736
## [1039] 1097.81196 1098.01609 1098.20153 1098.36993 1098.52281 1098.66155
## [1045] 1098.78743 1098.90161 1099.00515 1099.09903 1099.18414 1099.26127
## [1051] 1099.33117 1099.39451 1099.45189 1099.50387 1099.55095 1099.59360
## [1057] 1099.63222 1099.66720 1099.69887 1099.72755 1099.75351 1099.77702
## [1063] 1099.79831 1099.81758 1099.83503 1099.85082 1099.86512 1099.87807
## [1069] 1099.88979 1099.90040 1099.91001 1099.91871 1099.92658 1099.93371
## [1075] 1099.94017 1099.94602 1099.95131 1099.95611 1099.96045 1099.96439
## [1081] 1099.96795 1099.97118 1099.97411 1099.97676 1099.97916 1099.98134
## [1087] 1099.98332 1099.98511 1099.98674 1099.98822 1099.98956 1099.99078
## [1093] 1099.99188 1099.99289 1099.99381 1099.99464 1099.99540 1099.99609
## [1099] 1099.99672 1099.99730 1099.99782 1099.99831 1099.99875 1099.99915
## [1105] 1099.99953 1099.99987 1100.00018 1100.00047 1100.00074 1100.00099
## [1111] 1100.00123 1100.00144 1100.00164 1100.00183 1100.00201 1100.00218
## [1117] 1100.00234 1100.00249 1100.00263 1100.00276 1100.00289 1100.00302
## [1123] 1100.00314 1100.00325 1100.00337 1100.00348 1100.00358 1100.00369
## [1129] 1100.00379 1100.00389 1100.00399 1100.00409 1100.00419 1100.00428
## [1135] 1100.00438 1100.00448 1100.00457 1100.00467 1100.00477 1100.00486
## [1141] 1100.00496 1100.00506 1100.00516 1100.00526 1100.00536 1100.00546
## [1147] 1100.00556 1100.00566 1100.00577 1100.00587 1100.00598 1100.00609
## [1153] 1100.00620 1100.00631 1100.00642 1100.00654 1100.00665 1100.00677
## [1159] 1100.00689 1100.00701 1100.00713 1100.00726 1100.00739 1100.00752
## [1165] 1100.00765 1100.00778 1100.00791 1100.00805 1100.00819 1100.00833
## [1171] 1100.00848 1100.00862 1100.00877 1100.00892 1100.00907 1100.00923
## [1177] 1100.00939 1100.00955 1100.00971 1100.00988 1100.01005 1100.01022
## [1183] 1100.01039 1100.01057 1100.01075 1100.01094 1100.01112 1100.01131
## [1189] 1100.01150 1100.01170 1100.01190 1100.01210 1100.01231 1100.01252
## [1195] 1100.01273 1100.01294 1100.01316 1100.01339 1100.01361 1100.01384
## [1201] 1100.01408 1100.01432 1100.01456 1100.01481 1100.01506 1100.01531
## [1207] 1100.01557 1100.01584 1100.01610 1100.01638 1100.01665 1100.01693
## [1213] 1100.01722 1100.01751 1100.01781 1100.01811 1100.01841 1100.01872
## [1219] 1100.01904 1100.01936 1100.01969 1100.02002 1100.02036 1100.02070
## [1225] 1100.02105 1100.02141 1100.02177 1100.02213 1100.02251 1100.02289
## [1231] 1100.02327 1100.02367 1100.02406 1100.02447 1100.02488 1100.02530
## [1237] 1100.02573 1100.02616 1100.02660 1100.02705 1100.02751 1100.02797
## [1243] 1100.02844 1100.02892 1100.02941 1100.02990 1100.03040 1100.03092
## [1249] 1100.03144 1100.03197 1100.03250 1100.03305 1100.03361 1100.03417
## [1255] 1100.03475 1100.03533 1100.03593 1100.03653 1100.03715 1100.03777
## [1261] 1100.03841 1100.03905 1100.03971 1100.04038 1100.04106 1100.04175
## [1267] 1100.04245 1100.04316 1100.04389 1100.04463 1100.04538 1100.04614
## [1273] 1100.04692 1100.04771 1100.04851 1100.04933 1100.05016 1100.05100
## [1279] 1100.05186 1100.05273 1100.05362 1100.05452 1100.05543 1100.05637
## [1285] 1100.05731 1100.05828 1100.05926 1100.06025 1100.06127 1100.06230
## [1291] 1100.06334 1100.06441 1100.06549 1100.06659 1100.06771 1100.06885
## [1297] 1100.07001 1100.07118 1100.07238 1100.07360 1100.07484 1100.07609
## [1303] 1100.07737 1100.07867 1100.08000 1100.08134 1100.08271 1100.08410
## [1309] 1100.08551 1100.08695 1100.08841 1100.08990 1100.09141 1100.09294
## [1315] 1100.09451 1100.09609 1100.09771 1100.09935 1100.10102 1100.10272
## [1321] 1100.10445 1100.10620 1100.10799 1100.10980 1100.11165 1100.11352
## [1327] 1100.11543 1100.11737 1100.11934 1100.12135 1100.12339 1100.12546
## [1333] 1100.12757 1100.12971 1100.13189 1100.13411 1100.13636 1100.13866
## [1339] 1100.14099 1100.14336 1100.14576 1100.14821 1100.15070 1100.15324
## [1345] 1100.15581 1100.15843 1100.16109 1100.16380 1100.16655 1100.16935
## [1351] 1100.17220 1100.17509 1100.17803 1100.18103 1100.18407 1100.18716
## [1357] 1100.19031 1100.19350 1100.19676 1100.20006 1100.20342 1100.20684
## [1363] 1100.21032 1100.21385 1100.21744 1100.22110 1100.22481 1100.22859
## [1369] 1100.23243 1100.23634 1100.24031 1100.24435 1100.24845 1100.25263
## [1375] 1100.25687 1100.26119 1100.26558 1100.27004 1100.27458 1100.27919
## [1381] 1100.28388 1100.28865 1100.29350 1100.29843 1100.30344 1100.30854
## [1387] 1100.31373 1100.31900 1100.32436 1100.32981 1100.33535 1100.34098
## [1393] 1100.34671 1100.35254 1100.35846 1100.36448 1100.37060 1100.37683
## [1399] 1100.38316 1100.38960 1100.39614 1100.40280 1100.40957 1100.41645
## [1405] 1100.42344 1100.43056 1100.43779 1100.44514 1100.45262 1100.46022
## [1411] 1100.46795 1100.47582 1100.48381 1100.49194 1100.50020 1100.50860
## [1417] 1100.51715 1100.52583 1100.53466 1100.54365 1100.55278 1100.56206
## [1423] 1100.57150 1100.58110 1100.59086 1100.60079 1100.61088 1100.62114
## [1429] 1100.63157 1100.64218 1100.65296 1100.66393 1100.67508 1100.68642
## [1435] 1100.69795 1100.70967 1100.72159 1100.73371 1100.74603 1100.75856
## [1441] 1100.77130 1100.78425 1100.79742 1100.81081 1100.82442 1100.83827
## [1447] 1100.85234 1100.86666 1100.88121 1100.89601 1100.91105 1100.92635
## [1453] 1100.94190 1100.95772 1100.97380 1100.99015 1101.00677 1101.02367
## [1459] 1101.04086 1101.05833 1101.07610 1101.09417 1101.11254 1101.13121
## [1465] 1101.15020 1101.16951 1101.18914 1101.20910 1101.22940 1101.25003
## [1471] 1101.27102 1101.29235 1101.31404 1101.33609 1101.35852 1101.38132
## [1477] 1101.40450 1101.42807 1101.45204 1101.47641 1101.50118 1101.52637
## [1483] 1101.55199 1101.57803 1101.60451 1101.63143 1101.65880 1101.68663
## [1489] 1101.71493 1101.74370 1101.77295 1101.80270 1101.83294 1101.86369
## [1495] 1101.89495 1101.92673 1101.95905 1101.99191 1102.02532 1102.05929
## [1501] 1102.09382 1102.12894 1102.16464 1102.20094 1102.23785 1102.27537
## [1507] 1102.31352 1102.35232 1102.39175 1102.43185 1102.47262 1102.51407
## [1513] 1102.55622 1102.59907 1102.64263 1102.68693 1102.73196 1102.77775
## [1519] 1102.82430 1102.87163 1102.91975 1102.96867 1103.01842 1103.06899
## [1525] 1103.12041 1103.17268 1103.22583 1103.27987 1103.33481 1103.39066
## [1531] 1103.44745 1103.50519 1103.56389 1103.62357 1103.68424 1103.74593
## [1537] 1103.80864 1103.87240 1103.93723 1104.00313 1104.07014 1104.13826
## [1543] 1104.20751 1104.27793 1104.34951 1104.42228 1104.49627 1104.57149
## [1549] 1104.64797 1104.72571 1104.80475 1104.88511 1104.96680 1105.04985
## [1555] 1105.13429 1105.22013 1105.30739 1105.39611 1105.48630 1105.57799
## [1561] 1105.67120 1105.76597 1105.86230 1105.96024 1106.05980 1106.16102
## [1567] 1106.26391 1106.36852 1106.47485 1106.58296 1106.69285 1106.80457
## [1573] 1106.91814 1107.03359 1107.15095 1107.27026 1107.39154 1107.51483
## [1579] 1107.64016 1107.76757 1107.89708 1108.02874 1108.16257 1108.29862
## [1585] 1108.43691 1108.57749 1108.72038 1108.86564 1109.01330 1109.16339
## [1591] 1109.31596 1109.47104 1109.62868 1109.78892 1109.95180 1110.11736
## [1597] 1110.28565 1110.45671 1110.63058 1110.80731 1110.98694 1111.16953
## [1603] 1111.35512 1111.54375 1111.73548 1111.93036 1112.12843 1112.32976
## [1609] 1112.53438 1112.74235 1112.95373 1113.16857 1113.38692 1113.60884
## [1615] 1113.83439 1114.06363 1114.29661 1114.53339 1114.77403 1115.01860
## [1621] 1115.26715 1115.51976 1115.77647 1116.03736 1116.30250 1116.57194
## [1627] 1116.84577 1117.12403 1117.40682 1117.69418 1117.98621 1118.28297
## [1633] 1118.58452 1118.89096 1119.20235 1119.51878 1119.84031 1120.16702
## [1639] 1120.49901 1120.83634 1121.17911 1121.52739 1121.88127 1122.24084
## [1645] 1122.60617 1122.97737 1123.35452 1123.73770 1124.12702 1124.52256
## [1651] 1124.92443 1125.33270 1125.74749 1126.16889 1126.59699 1127.03191
## [1657] 1127.47373 1127.92257 1128.37853 1128.84172 1129.31223 1129.79019
## [1663] 1130.27569 1130.76886 1131.26980 1131.77863 1132.29546 1132.82042
## [1669] 1133.35361 1133.89516 1134.44520 1135.00383 1135.57119 1136.14740
## [1675] 1136.73259 1137.32689 1137.93042 1138.54332 1139.16572 1139.79776
## [1681] 1140.43956 1141.09128 1141.75304 1142.42498 1143.10725 1143.80000
## [1687] 1144.50336 1145.21747 1145.94250 1146.67858 1147.42587 1148.18452
## [1693] 1148.95468 1149.73651 1150.53016 1151.33579 1152.15356 1152.98363
## [1699] 1153.82616 1154.68132 1155.54926 1156.43016 1157.32418 1158.23148
## [1705] 1159.15225 1160.08665 1161.03485 1161.99703 1162.97336 1163.96401
## [1711] 1164.96917 1165.98901 1167.02371 1168.07345 1169.13842 1170.21879
## [1717] 1171.31475 1172.42649 1173.55418 1174.69801 1175.85818 1177.03487
## [1723] 1178.22826 1179.43855 1180.66592 1181.91058 1183.17270 1184.45247
## [1729] 1185.75010 1187.06577 1188.39968 1189.75201 1191.12296 1192.51273
## [1735] 1193.92150 1195.34946 1196.79683 1198.26377 1199.75049 1201.25718
## [1741] 1202.78402 1204.33122 1205.89896 1207.48743 1209.09682 1210.72732
## [1747] 1212.37911 1214.05238 1215.74732 1217.46410 1219.20292 1220.96395
## [1753] 1222.74737 1224.55336 1226.38209 1228.23374 1230.10847 1232.00647
## [1759] 1233.92789 1235.87290 1237.84166 1239.83433 1241.85106 1243.89202
## [1765] 1245.95735 1248.04720 1250.16171 1252.30102 1254.46527 1256.65458
## [1771] 1258.86910 1261.10895 1263.37424 1265.66509 1267.98161 1270.32392
## [1777] 1272.69210 1275.08627 1277.50650 1279.95289 1282.42552 1284.92447
## [1783] 1287.44979 1290.00157 1292.57984 1295.18468 1297.81611 1300.47419
## [1789] 1303.15893 1305.87037 1308.60853 1311.37341 1314.16502 1316.98335
## [1795] 1319.82840 1322.70014 1325.59855 1328.52359 1331.47522 1334.45338
## [1801] 1337.45803 1340.48908 1343.54647 1346.63011 1349.73989 1352.87573
## [1807] 1356.03751 1359.22510 1362.43838 1365.67720 1368.94142 1372.23088
## [1813] 1375.54540 1378.88482 1382.24894 1385.63757 1389.05050 1392.48751
## [1819] 1395.94837 1399.43286 1402.94072 1406.47169 1410.02552 1413.60192
## [1825] 1417.20061 1420.82130 1424.46368 1428.12743 1431.81223 1435.51774
## [1831] 1439.24363 1442.98954 1446.75510 1450.53995 1454.34369 1458.16595
## [1837] 1462.00633 1465.86441 1469.73978 1473.63201 1477.54067 1481.46532
## [1843] 1485.40550 1489.36077 1493.33064 1497.31466 1501.31234 1505.32319
## [1849] 1509.34672 1513.38242 1517.42979 1521.48832 1525.55748 1529.63676
## [1855] 1533.72561 1537.82350 1541.92989 1546.04425 1550.16600 1554.29461
## [1861] 1558.42952 1562.57015 1566.71596 1570.86637 1575.02081 1579.17871
## [1867] 1583.33950 1587.50260 1591.66744 1595.83343 1600.00000 1604.16657
## [1873] 1608.33256 1612.49740 1616.66050 1620.82129 1624.97919 1629.13363
## [1879] 1633.28404 1637.42985 1641.57048 1645.70539 1649.83400 1653.95575
## [1885] 1658.07011 1662.17650 1666.27439 1670.36324 1674.44252 1678.51168
## [1891] 1682.57021 1686.61758 1690.65328 1694.67681 1698.68766 1702.68534
## [1897] 1706.66936 1710.63923 1714.59450 1718.53468 1722.45933 1726.36799
## [1903] 1730.26022 1734.13559 1737.99367 1741.83405 1745.65631 1749.46005
## [1909] 1753.24490 1757.01046 1760.75637 1764.48226 1768.18777 1771.87257
## [1915] 1775.53632 1779.17870 1782.79939 1786.39808 1789.97448 1793.52831
## [1921] 1797.05928 1800.56714 1804.05163 1807.51249 1810.94950 1814.36243
## [1927] 1817.75106 1821.11518 1824.45460 1827.76912 1831.05858 1834.32280
## [1933] 1837.56162 1840.77490 1843.96249 1847.12427 1850.26011 1853.36989
## [1939] 1856.45353 1859.51092 1862.54197 1865.54662 1868.52478 1871.47641
## [1945] 1874.40145 1877.29986 1880.17160 1883.01665 1885.83498 1888.62659
## [1951] 1891.39147 1894.12963 1896.84107 1899.52581 1902.18389 1904.81532
## [1957] 1907.42016 1909.99843 1912.55021 1915.07553 1917.57448 1920.04711
## [1963] 1922.49350 1924.91373 1927.30790 1929.67608 1932.01839 1934.33491
## [1969] 1936.62576 1938.89105 1941.13090 1943.34542 1945.53473 1947.69898
## [1975] 1949.83829 1951.95280 1954.04265 1956.10798 1958.14894 1960.16567
## [1981] 1962.15834 1964.12710 1966.07211 1967.99353 1969.89153 1971.76626
## [1987] 1973.61791 1975.44664 1977.25263 1979.03605 1980.79708 1982.53590
## [1993] 1984.25268 1985.94762 1987.62089 1989.27268 1990.90318 1992.51257
## [1999] 1994.10104 1995.66878 1997.21598patch## [1] 994.2000 994.3079 994.4157 994.5236 994.6315 994.7394
## [7] 994.8472 994.9551 995.0630 995.1708 995.2787 995.3866
## [13] 995.4944 995.6023 995.7102 995.8181 995.9259 996.0338
## [19] 996.1417 996.2495 996.3574 996.4653 996.5731 996.6810
## [25] 996.7889 996.8967 997.0046 997.1125 997.2204 997.3282
## [31] 997.4361 997.5440 997.6518 997.7597 997.8676 997.9755
## [37] 998.0833 998.1912 998.2991 998.4069 998.5148 998.6227
## [43] 998.7305 998.8384 998.9463 999.0542 999.1620 999.2699
## [49] 999.3778 999.4856 999.5935 999.7014 999.8092 999.9171
## [55] 1000.0250 1000.1329 1000.2407 1000.3486 1000.4565 1000.5643
## [61] 1000.6722 1000.7801 1000.8879 1000.9958 1001.1037 1001.2115
## [67] 1001.3194 1001.4273 1001.5352 1001.6430 1001.7509 1001.8588
## [73] 1001.9666 1002.0745 1002.1824 1002.2903 1002.3981 1002.5060
## [79] 1002.6139 1002.7217 1002.8296 1002.9375 1003.0453 1003.1532
## [85] 1003.2611 1003.3690 1003.4768 1003.5847 1003.6926 1003.8004
## [91] 1003.9083 1004.0162 1004.1240 1004.2319 1004.3398 1004.4477
## [97] 1004.5555 1004.6634 1004.7713 1004.8791 1004.9870 1005.0949
## [103] 1005.2027 1005.3106 1005.4185 1005.5263 1005.6342 1005.7421
## [109] 1005.8500 1005.9578 1006.0657 1006.1736 1006.2814 1006.3893
## [115] 1006.4972 1006.6051 1006.7129 1006.8208 1006.9287 1007.0365
## [121] 1007.1444 1007.2523 1007.3601 1007.4680 1007.5759 1007.6838
## [127] 1007.7916 1007.8995 1008.0074 1008.1152 1008.2231 1008.3310
## [133] 1008.4388 1008.5467 1008.6546 1008.7625 1008.8703 1008.9782
## [139] 1009.0861 1009.1939 1009.3018 1009.4097 1009.5175 1009.6254
## [145] 1009.7333 1009.8412 1009.9490 1010.0569 1010.1648 1010.2726
## [151] 1010.3805 1010.4884 1010.5962 1010.7041 1010.8120 1010.9198
## [157] 1011.0277 1011.1356 1011.2435 1011.3513 1011.4592 1011.5671
## [163] 1011.6749 1011.7828 1011.8907 1011.9986 1012.1064 1012.2143
## [169] 1012.3222 1012.4300 1012.5379 1012.6458 1012.7536 1012.8615
## [175] 1012.9694 1013.0773 1013.1851 1013.2930 1013.4009 1013.5087
## [181] 1013.6166 1013.7245 1013.8323 1013.9402 1014.0481 1014.1560
## [187] 1014.2638 1014.3717 1014.4796 1014.5874 1014.6953 1014.8032
## [193] 1014.9110 1015.0189 1015.1268 1015.2346 1015.3425 1015.4504
## [199] 1015.5583 1015.6661 1015.7740 1015.8819 1015.9897 1016.0976
## [205] 1016.2055 1016.3134 1016.4212 1016.5291 1016.6370 1016.7448
## [211] 1016.8527 1016.9606 1017.0684 1017.1763 1017.2842 1017.3921
## [217] 1017.4999 1017.6078 1017.7157 1017.8235 1017.9314 1018.0393
## [223] 1018.1471 1018.2550 1018.3629 1018.4708 1018.5786 1018.6865
## [229] 1018.7944 1018.9022 1019.0101 1019.1180 1019.2258 1019.3337
## [235] 1019.4416 1019.5494 1019.6573 1019.7652 1019.8731 1019.9809
## [241] 1020.0888 1020.1967 1020.3045 1020.4124 1020.5203 1020.6282
## [247] 1020.7360 1020.8439 1020.9518 1021.0596 1021.1675 1021.2754
## [253] 1021.3832 1021.4911 1021.5990 1021.7069 1021.8147 1021.9226
## [259] 1022.0305 1022.1383 1022.2462 1022.3541 1022.4619 1022.5698
## [265] 1022.6777 1022.7856 1022.8934 1023.0013 1023.1092 1023.2170
## [271] 1023.3249 1023.4328 1023.5406 1023.6485 1023.7564 1023.8642
## [277] 1023.9721 1024.0800 1024.1879 1024.2957 1024.4036 1024.5115
## [283] 1024.6193 1024.7272 1024.8351 1024.9430 1025.0508 1025.1587
## [289] 1025.2666 1025.3744 1025.4823 1025.5902 1025.6980 1025.8059
## [295] 1025.9138 1026.0216 1026.1295 1026.2374 1026.3453 1026.4531
## [301] 1026.5610 1026.6689 1026.7767 1026.8846 1026.9925 1027.1003
## [307] 1027.2082 1027.3161 1027.4240 1027.5318 1027.6397 1027.7476
## [313] 1027.8554 1027.9633 1028.0712 1028.1790 1028.2869 1028.3948
## [319] 1028.5027 1028.6105 1028.7184 1028.8263 1028.9341 1029.0420
## [325] 1029.1499 1029.2577 1029.3656 1029.4735 1029.5814 1029.6892
## [331] 1029.7971 1029.9050 1030.0128 1030.1207 1030.2286 1030.3365
## [337] 1030.4443 1030.5522 1030.6601 1030.7679 1030.8758 1030.9837
## [343] 1031.0915 1031.1994 1031.3073 1031.4152 1031.5230 1031.6309
## [349] 1031.7388 1031.8466 1031.9545 1032.0624 1032.1702 1032.2781
## [355] 1032.3860 1032.4939 1032.6017 1032.7096 1032.8175 1032.9253
## [361] 1033.0332 1033.1411 1033.2489 1033.3568 1033.4647 1033.5726
## [367] 1033.6804 1033.7883 1033.8962 1034.0040 1034.1119 1034.2198
## [373] 1034.3276 1034.4355 1034.5434 1034.6512 1034.7591 1034.8670
## [379] 1034.9749 1035.0827 1035.1906 1035.2985 1035.4063 1035.5142
## [385] 1035.6221 1035.7299 1035.8378 1035.9457 1036.0536 1036.1614
## [391] 1036.2693 1036.3772 1036.4850 1036.5929 1036.7008 1036.8086
## [397] 1036.9165 1037.0244 1037.1323 1037.2401 1037.3480 1037.4559
## [403] 1037.5637 1037.6716 1037.7795 1037.8873 1037.9952 1038.1031
## [409] 1038.2110 1038.3188 1038.4267 1038.5346 1038.6424 1038.7503
## [415] 1038.8582 1038.9660 1039.0739 1039.1818 1039.2897 1039.3975
## [421] 1039.5054 1039.6133 1039.7211 1039.8290 1039.9369 1040.0448
## [427] 1040.1526 1040.2605 1040.3684 1040.4762 1040.5841 1040.6920
## [433] 1040.7998 1040.9077 1041.0156 1041.1235 1041.2313 1041.3392
## [439] 1041.4471 1041.5549 1041.6628 1041.7707 1041.8785 1041.9864
## [445] 1042.0943 1042.2022 1042.3100 1042.4179 1042.5258 1042.6336
## [451] 1042.7415 1042.8494 1042.9572 1043.0651 1043.1730 1043.2809
## [457] 1043.3887 1043.4966 1043.6045 1043.7123 1043.8202 1043.9281
## [463] 1044.0359 1044.1438 1044.2517 1044.3595 1044.4674 1044.5753
## [469] 1044.6832 1044.7910 1044.8989 1045.0068 1045.1146 1045.2225
## [475] 1045.3304 1045.4382 1045.5461 1045.6540 1045.7619 1045.8697
## [481] 1045.9776 1046.0855 1046.1933 1046.3012 1046.4091 1046.5169
## [487] 1046.6248 1046.7327 1046.8406 1046.9484 1047.0563 1047.1642
## [493] 1047.2720 1047.3799 1047.4878 1047.5956 1047.7035 1047.8114
## [499] 1047.9193 1048.0271 1048.1350 1048.2429 1048.3507 1048.4586
## [505] 1048.5665 1048.6744 1048.7822 1048.8901 1048.9980 1049.1058
## [511] 1049.2137 1049.3216 1049.4294 1049.5373 1049.6452 1049.7531
## [517] 1049.8609 1049.9688 1050.0767 1050.1845 1050.2924 1050.4003
## [523] 1050.5081 1050.6160 1050.7239 1050.8318 1050.9396 1051.0475
## [529] 1051.1554 1051.2632 1051.3711 1051.4790 1051.5868 1051.6947
## [535] 1051.8026 1051.9105 1052.0183 1052.1262 1052.2341 1052.3419
## [541] 1052.4498 1052.5577 1052.6655 1052.7734 1052.8813 1052.9891
## [547] 1053.0970 1053.2049 1053.3128 1053.4206 1053.5285 1053.6364
## [553] 1053.7442 1053.8521 1053.9600 1054.0678 1054.1757 1054.2836
## [559] 1054.3915 1054.4993 1054.6072 1054.7151 1054.8229 1054.9308
## [565] 1055.0387 1055.1465 1055.2544 1055.3623 1055.4702 1055.5780
## [571] 1055.6859 1055.7938 1055.9016 1056.0095 1056.1174 1056.2252
## [577] 1056.3331 1056.4410 1056.5489 1056.6567 1056.7646 1056.8725
## [583] 1056.9803 1057.0882 1057.1961 1057.3039 1057.4118 1057.5197
## [589] 1057.6276 1057.7354 1057.8433 1057.9512 1058.0590 1058.1669
## [595] 1058.2748 1058.3827 1058.4905 1058.5984 1058.7063 1058.8141
## [601] 1058.9220 1059.0299 1059.1377 1059.2456 1059.3535 1059.4614
## [607] 1059.5692 1059.6771 1059.7850 1059.8928 1060.0007 1060.1086
## [613] 1060.2164 1060.3243 1060.4322 1060.5401 1060.6479 1060.7558
## [619] 1060.8637 1060.9715 1061.0794 1061.1873 1061.2951 1061.4030
## [625] 1061.5109 1061.6188 1061.7266 1061.8345 1061.9424 1062.0502
## [631] 1062.1581 1062.2660 1062.3738 1062.4817 1062.5896 1062.6974
## [637] 1062.8053 1062.9132 1063.0211 1063.1289 1063.2368 1063.3447
## [643] 1063.4525 1063.5604 1063.6683 1063.7761 1063.8840 1063.9919
## [649] 1064.0998 1064.2076 1064.3155 1064.4234 1064.5312 1064.6391
## [655] 1064.7470 1064.8548 1064.9627 1065.0706 1065.1785 1065.2863
## [661] 1065.3942 1065.5021 1065.6099 1065.7178 1065.8257 1065.9335
## [667] 1066.0414 1066.1493 1066.2572 1066.3650 1066.4729 1066.5808
## [673] 1066.6886 1066.7965 1066.9044 1067.0122 1067.1201 1067.2280
## [679] 1067.3359 1067.4437 1067.5516 1067.6595 1067.7673 1067.8752
## [685] 1067.9831 1068.0910 1068.1988 1068.3067 1068.4146 1068.5224
## [691] 1068.6303 1068.7382 1068.8460 1068.9539 1069.0618 1069.1697
## [697] 1069.2775 1069.3854 1069.4933 1069.6011 1069.7090 1069.8169
## [703] 1069.9247 1070.0326 1070.1405 1070.2484 1070.3562 1070.4641
## [709] 1070.5720 1070.6798 1070.7877 1070.8956 1071.0034 1071.1113
## [715] 1071.2192 1071.3270 1071.4349 1071.5428 1071.6507 1071.7585
## [721] 1071.8664 1071.9743 1072.0821 1072.1900 1072.2979 1072.4057
## [727] 1072.5136 1072.6215 1072.7294 1072.8372 1072.9451 1073.0530
## [733] 1073.1608 1073.2687 1073.3766 1073.4844 1073.5923 1073.7002
## [739] 1073.8081 1073.9159 1074.0238 1074.1317 1074.2395 1074.3474
## [745] 1074.4553 1074.5631 1074.6710 1074.7789 1074.8868 1074.9946
## [751] 1075.1025 1075.2104 1075.3182 1075.4261 1075.5340 1075.6418
## [757] 1075.7497 1075.8576 1075.9655 1076.0733 1076.1812 1076.2891
## [763] 1076.3969 1076.5048 1076.6127 1076.7206 1076.8284 1076.9363
## [769] 1077.0442 1077.1520 1077.2599 1077.3678 1077.4756 1077.5835
## [775] 1077.6914 1077.7993 1077.9071 1078.0150 1078.1229 1078.2307
## [781] 1078.3386 1078.4465 1078.5543 1078.6622 1078.7701 1078.8780
## [787] 1078.9858 1079.0937 1079.2016 1079.3094 1079.4173 1079.5252
## [793] 1079.6330 1079.7409 1079.8488 1079.9567 1080.0645 1080.1724
## [799] 1080.2803 1080.3881 1080.4960 1080.6039 1080.7117 1080.8196
## [805] 1080.9275 1081.0353 1081.1432 1081.2511 1081.3590 1081.4668
## [811] 1081.5747 1081.6826 1081.7904 1081.8983 1082.0062 1082.1140
## [817] 1082.2219 1082.3298 1082.4377 1082.5455 1082.6534 1082.7613
## [823] 1082.8691 1082.9770 1083.0849 1083.1927 1083.3006 1083.4085
## [829] 1083.5164 1083.6242 1083.7321 1083.8400 1083.9478 1084.0557
## [835] 1084.1636 1084.2714 1084.3793 1084.4872 1084.5951 1084.7029
## [841] 1084.8108 1084.9187 1085.0265 1085.1344 1085.2423 1085.3501
## [847] 1085.4580 1085.5659 1085.6738 1085.7816 1085.8895 1085.9974
## [853] 1086.1052 1086.2131 1086.3210 1086.4289 1086.5367 1086.6446
## [859] 1086.7525 1086.8603 1086.9682 1087.0761 1087.1839 1087.2918
## [865] 1087.3997 1087.5076 1087.6154 1087.7233 1087.8312 1087.9390
## [871] 1088.0469 1088.1548 1088.2626 1088.3705 1088.4784 1088.5862
## [877] 1088.6941 1088.8020 1088.9099 1089.0177 1089.1256 1089.2335
## [883] 1089.3413 1089.4492 1089.5571 1089.6649 1089.7728 1089.8807
## [889] 1089.9886 1090.0964 1090.2043 1090.3122 1090.4200 1090.5279
## [895] 1090.6358 1090.7436 1090.8515 1090.9594 1091.0673 1091.1751
## [901] 1091.2830 1091.3909 1091.4987 1091.6066 1091.7145 1091.8223
## [907] 1091.9302 1092.0381 1092.1460 1092.2538 1092.3617 1092.4696
## [913] 1092.5774 1092.6853 1092.7932 1092.9010 1093.0089 1093.1168
## [919] 1093.2247 1093.3325 1093.4404 1093.5483 1093.6561 1093.7640
## [925] 1093.8719 1093.9797 1094.0876 1094.1955 1094.3034 1094.4112
## [931] 1094.5191 1094.6270 1094.7348 1094.8427 1094.9506 1095.0584
## [937] 1095.1663 1095.2742 1095.3821 1095.4899 1095.5978 1095.7057
## [943] 1095.8135 1095.9214 1096.0293 1096.1372 1096.2450 1096.3529
## [949] 1096.4608 1096.5686 1096.6765 1096.7844 1096.8922 1097.0001
## [955] 1097.1080 1097.2159 1097.3237 1097.4316 1097.5395 1097.6473
## [961] 1097.7552 1097.8631 1097.9709 1098.0788 1098.1867 1098.2945
## [967] 1098.4024 1098.5103 1098.6182 1098.7260 1098.8339 1098.9418
## [973] 1099.0496 1099.1575 1099.2654 1099.3732 1099.4811 1099.5890
## [979] 1099.6969 1099.8047 1099.9126 1100.0205 1100.1283 1100.2362
## [985] 1100.3441 1100.4519 1100.5598 1100.6677 1100.7756 1100.8834
## [991] 1100.9913 1101.0992 1101.2070 1101.3149 1101.4228 1101.5306
## [997] 1101.6385 1101.7464 1101.8543 1101.9621 1102.0700calib2[,1]## [1] 34.44520 35.00383 35.57119 36.14740 36.73259 37.32689
## [7] 37.93042 38.54332 39.16572 39.79776 40.43956 41.09128
## [13] 41.75304 42.42498 43.10725 43.80000 44.50336 45.21747
## [19] 45.94250 46.67858 47.42587 48.18452 48.95468 49.73651
## [25] 50.53016 51.33579 52.15356 52.98363 53.82616 54.68132
## [31] 55.54926 56.43016 57.32418 58.23148 59.15225 60.08665
## [37] 61.03485 61.99703 62.97336 63.96401 64.96917 65.98901
## [43] 67.02371 68.07345 69.13842 70.21879 71.31475 72.42649
## [49] 73.55418 74.69801 75.85818 77.03487 78.22826 79.43855
## [55] 80.66592 81.91058 83.17270 84.45247 85.75010 87.06577
## [61] 88.39968 89.75201 91.12296 92.51273 93.92150 95.34946
## [67] 96.79683 98.26377 99.75049 101.25718 102.78402 104.33122
## [73] 105.89896 107.48743 109.09682 110.72732 112.37911 114.05238
## [79] 115.74732 117.46410 119.20292 120.96395 122.74737 124.55336
## [85] 126.38209 128.23374 130.10847 132.00647 133.92789 135.87290
## [91] 137.84166 139.83433 141.85106 143.89202 145.95735 148.04720
## [97] 150.16171 152.30102 154.46527 156.65458 158.86910 161.10895
## [103] 163.37424 165.66509 167.98161 170.32392 172.69210 175.08627
## [109] 177.50650 179.95289 182.42552 184.92447 187.44979 190.00157
## [115] 192.57984 195.18468 197.81611 200.47419 203.15893 205.87037
## [121] 208.60853 211.37341 214.16502 216.98335 219.82840 222.70014
## [127] 225.59855 228.52359 231.47522 234.45338 237.45803 240.48908
## [133] 243.54647 246.63011 249.73989 252.87573 256.03751 259.22510
## [139] 262.43838 265.67720 268.94142 272.23088 275.54540 278.88482
## [145] 282.24894 285.63757 289.05050 292.48751 295.94837 299.43286
## [151] 302.94072 306.47169 310.02552 313.60192 317.20061 320.82130
## [157] 324.46368 328.12743 331.81223 335.51774 339.24363 342.98954
## [163] 346.75510 350.53995 354.34369 358.16595 362.00633 365.86441
## [169] 369.73978 373.63201 377.54067 381.46532 385.40550 389.36077
## [175] 393.33064 397.31466 401.31234 405.32319 409.34672 413.38242
## [181] 417.42979 421.48832 425.55748 429.63676 433.72561 437.82350
## [187] 441.92989 446.04425 450.16600 454.29461 458.42952 462.57015
## [193] 466.71596 470.86637 475.02081 479.17871 483.33950 487.50260
## [199] 491.66744 495.83343 500.00000 504.16657 508.33256 512.49740
## [205] 516.66050 520.82129 524.97919 529.13363 533.28404 537.42985
## [211] 541.57048 545.70539 549.83400 553.95575 558.07011 562.17650
## [217] 566.27439 570.36324 574.44252 578.51168 582.57021 586.61758
## [223] 590.65328 594.67681 598.68766 602.68534 606.66936 610.63923
## [229] 614.59450 618.53468 622.45933 626.36799 630.26022 634.13559
## [235] 637.99367 641.83405 645.65631 649.46005 653.24490 657.01046
## [241] 660.75637 664.48226 668.18777 671.87257 675.53632 679.17870
## [247] 682.79939 686.39808 689.97448 693.52831 697.05928 700.56714
## [253] 704.05163 707.51249 710.94950 714.36243 717.75106 721.11518
## [259] 724.45460 727.76912 731.05858 734.32280 737.56162 740.77490
## [265] 743.96249 747.12427 750.26011 753.36989 756.45353 759.51092
## [271] 762.54197 765.54662 768.52478 771.47641 774.40145 777.29986
## [277] 780.17160 783.01665 785.83498 788.62659 791.39147 794.12963
## [283] 796.84107 799.52581 802.18389 804.81532 807.42016 809.99843
## [289] 812.55021 815.07553 817.57448 820.04711 822.49350 824.91373
## [295] 827.30790 829.67608 832.01839 834.33491 836.62576 838.89105
## [301] 841.13090 843.34542 845.53473 847.69898 849.83829 851.95280
## [307] 854.04265 856.10798 858.14894 860.16567 862.15834 864.12710
## [313] 866.07211 867.99353 869.89153 871.76626 873.61791 875.44664
## [319] 877.25263 879.03605 880.79708 882.53590 884.25268 885.94762
## [325] 887.62089 889.27268 890.90318 892.51257 894.10104 895.66878
## [331] 897.21598 898.74282 900.24951 901.73623 903.20317 904.65054
## [337] 906.07850 907.48727 908.87704 910.24799 911.60032 912.93423
## [343] 914.24990 915.54753 916.82730 918.08942 919.33408 920.56145
## [349] 921.77174 922.96513 924.14182 925.30199 926.44582 927.57351
## [355] 928.68525 929.78121 930.86158 931.92655 932.97629 934.01099
## [361] 935.03083 936.03599 937.02664 938.00297 938.96515 939.91335
## [367] 940.84775 941.76852 942.67582 943.56984 944.45074 945.31868
## [373] 946.17384 947.01637 947.84644 948.66421 949.46984 950.26349
## [379] 951.04532 951.81548 952.57413 953.32142 954.05750 954.78253
## [385] 955.49664 956.20000 956.89275 957.57502 958.24696 958.90872
## [391] 959.56044 960.20224 960.83428 961.45668 962.06958 962.67311
## [397] 963.26741 963.85260 964.42881 964.99617 965.55480 966.10484
## [403] 966.64639 967.17958 967.70454 968.22137 968.73020 969.23114
## [409] 969.72431 970.20981 970.68777 971.15828 971.62147 972.07743
## [415] 972.52627 972.96809 973.40301 973.83111 974.25251 974.66730
## [421] 975.07557 975.47744 975.87298 976.26230 976.64548 977.02263
## [427] 977.39383 977.75916 978.11873 978.47261 978.82089 979.16366
## [433] 979.50099 979.83298 980.15969 980.48122 980.79765 981.10904
## [439] 981.41548 981.71703 982.01379 982.30582 982.59318 982.87597
## [445] 983.15423 983.42806 983.69750 983.96264 984.22353 984.48024
## [451] 984.73285 984.98140 985.22597 985.46661 985.70339 985.93637
## [457] 986.16561 986.39116 986.61308 986.83143 987.04627 987.25765
## [463] 987.46562 987.67024 987.87157 988.06964 988.26452 988.45625
## [469] 988.64488 988.83047 989.01306 989.19269 989.36942 989.54329
## [475] 989.71435 989.88264 990.04820 990.21108 990.37132 990.52896
## [481] 990.68404 990.83661 990.98670 991.13436 991.27962 991.42251
## [487] 991.56309 991.70138 991.83743 991.97126 992.10292 992.23243
## [493] 992.35984 992.48517 992.60846 992.72974 992.84905 992.96641
## [499] 993.08186 994.20000 994.30787 994.41574 994.52361 994.63148
## [505] 994.73935 994.84722 994.95509 995.06296 995.17083 995.27870
## [511] 995.38657 995.49444 995.60231 995.71018 995.81805 995.92592
## [517] 996.03379 996.14166 996.24953 996.35740 996.46527 996.57314
## [523] 996.68101 996.78888 996.89675 997.00462 997.11249 997.22036
## [529] 997.32823 997.43610 997.54397 997.65184 997.75971 997.86758
## [535] 997.97545 998.08332 998.19119 998.29906 998.40693 998.51480
## [541] 998.62267 998.73054 998.83841 998.94628 999.05415 999.16202
## [547] 999.26989 999.37776 999.48563 999.59350 999.70137 999.80924
## [553] 999.91711 1000.02498 1000.13285 1000.24072 1000.34859 1000.45646
## [559] 1000.56433 1000.67220 1000.78007 1000.88794 1000.99581 1001.10368
## [565] 1001.21155 1001.31942 1001.42729 1001.53516 1001.64303 1001.75090
## [571] 1001.85877 1001.96664 1002.07451 1002.18238 1002.29025 1002.39812
## [577] 1002.50599 1002.61386 1002.72173 1002.82960 1002.93747 1003.04534
## [583] 1003.15321 1003.26108 1003.36895 1003.47682 1003.58469 1003.69256
## [589] 1003.80043 1003.90830 1004.01617 1004.12404 1004.23191 1004.33978
## [595] 1004.44765 1004.55552 1004.66339 1004.77126 1004.87913 1004.98700
## [601] 1005.09487 1005.20274 1005.31061 1005.41848 1005.52635 1005.63422
## [607] 1005.74209 1005.84996 1005.95783 1006.06570 1006.17357 1006.28144
## [613] 1006.38931 1006.49718 1006.60505 1006.71292 1006.82079 1006.92866
## [619] 1007.03653 1007.14440 1007.25227 1007.36014 1007.46801 1007.57588
## [625] 1007.68375 1007.79162 1007.89949 1008.00736 1008.11523 1008.22310
## [631] 1008.33097 1008.43884 1008.54671 1008.65458 1008.76245 1008.87032
## [637] 1008.97819 1009.08606 1009.19393 1009.30180 1009.40967 1009.51754
## [643] 1009.62541 1009.73328 1009.84115 1009.94902 1010.05689 1010.16476
## [649] 1010.27263 1010.38050 1010.48837 1010.59624 1010.70411 1010.81198
## [655] 1010.91985 1011.02772 1011.13559 1011.24346 1011.35133 1011.45920
## [661] 1011.56707 1011.67494 1011.78281 1011.89068 1011.99855 1012.10642
## [667] 1012.21429 1012.32216 1012.43003 1012.53790 1012.64577 1012.75364
## [673] 1012.86151 1012.96938 1013.07725 1013.18512 1013.29299 1013.40086
## [679] 1013.50873 1013.61660 1013.72447 1013.83234 1013.94021 1014.04808
## [685] 1014.15595 1014.26382 1014.37169 1014.47956 1014.58743 1014.69530
## [691] 1014.80317 1014.91104 1015.01891 1015.12678 1015.23465 1015.34252
## [697] 1015.45039 1015.55826 1015.66613 1015.77400 1015.88187 1015.98974
## [703] 1016.09761 1016.20548 1016.31335 1016.42122 1016.52909 1016.63696
## [709] 1016.74483 1016.85270 1016.96057 1017.06844 1017.17631 1017.28418
## [715] 1017.39205 1017.49992 1017.60779 1017.71566 1017.82353 1017.93140
## [721] 1018.03927 1018.14714 1018.25501 1018.36288 1018.47075 1018.57862
## [727] 1018.68649 1018.79436 1018.90223 1019.01010 1019.11797 1019.22584
## [733] 1019.33371 1019.44158 1019.54945 1019.65732 1019.76519 1019.87306
## [739] 1019.98093 1020.08880 1020.19667 1020.30454 1020.41241 1020.52028
## [745] 1020.62815 1020.73602 1020.84389 1020.95176 1021.05963 1021.16750
## [751] 1021.27537 1021.38324 1021.49111 1021.59898 1021.70685 1021.81472
## [757] 1021.92259 1022.03046 1022.13833 1022.24620 1022.35407 1022.46194
## [763] 1022.56981 1022.67768 1022.78555 1022.89342 1023.00129 1023.10916
## [769] 1023.21703 1023.32490 1023.43277 1023.54064 1023.64851 1023.75638
## [775] 1023.86425 1023.97212 1024.07999 1024.18786 1024.29573 1024.40360
## [781] 1024.51147 1024.61934 1024.72721 1024.83508 1024.94295 1025.05082
## [787] 1025.15869 1025.26656 1025.37443 1025.48230 1025.59017 1025.69804
## [793] 1025.80591 1025.91378 1026.02165 1026.12952 1026.23739 1026.34526
## [799] 1026.45313 1026.56100 1026.66887 1026.77674 1026.88461 1026.99248
## [805] 1027.10035 1027.20822 1027.31609 1027.42396 1027.53183 1027.63970
## [811] 1027.74757 1027.85544 1027.96331 1028.07118 1028.17905 1028.28692
## [817] 1028.39479 1028.50266 1028.61053 1028.71840 1028.82627 1028.93414
## [823] 1029.04201 1029.14988 1029.25775 1029.36562 1029.47349 1029.58136
## [829] 1029.68923 1029.79710 1029.90497 1030.01284 1030.12071 1030.22858
## [835] 1030.33645 1030.44432 1030.55219 1030.66006 1030.76793 1030.87580
## [841] 1030.98367 1031.09154 1031.19941 1031.30728 1031.41515 1031.52302
## [847] 1031.63089 1031.73876 1031.84663 1031.95450 1032.06237 1032.17024
## [853] 1032.27811 1032.38598 1032.49385 1032.60172 1032.70959 1032.81746
## [859] 1032.92533 1033.03320 1033.14107 1033.24894 1033.35681 1033.46468
## [865] 1033.57255 1033.68042 1033.78829 1033.89616 1034.00403 1034.11190
## [871] 1034.21977 1034.32764 1034.43551 1034.54338 1034.65125 1034.75912
## [877] 1034.86699 1034.97486 1035.08273 1035.19060 1035.29847 1035.40634
## [883] 1035.51421 1035.62208 1035.72995 1035.83782 1035.94569 1036.05356
## [889] 1036.16143 1036.26930 1036.37717 1036.48504 1036.59291 1036.70078
## [895] 1036.80865 1036.91652 1037.02439 1037.13226 1037.24013 1037.34800
## [901] 1037.45587 1037.56374 1037.67161 1037.77948 1037.88735 1037.99522
## [907] 1038.10309 1038.21096 1038.31883 1038.42670 1038.53457 1038.64244
## [913] 1038.75031 1038.85818 1038.96605 1039.07392 1039.18179 1039.28966
## [919] 1039.39753 1039.50540 1039.61327 1039.72114 1039.82901 1039.93688
## [925] 1040.04475 1040.15262 1040.26049 1040.36836 1040.47623 1040.58410
## [931] 1040.69197 1040.79984 1040.90771 1041.01558 1041.12345 1041.23132
## [937] 1041.33919 1041.44706 1041.55493 1041.66280 1041.77067 1041.87854
## [943] 1041.98641 1042.09428 1042.20215 1042.31002 1042.41789 1042.52576
## [949] 1042.63363 1042.74150 1042.84937 1042.95724 1043.06511 1043.17298
## [955] 1043.28085 1043.38872 1043.49659 1043.60446 1043.71233 1043.82020
## [961] 1043.92807 1044.03594 1044.14381 1044.25168 1044.35955 1044.46742
## [967] 1044.57529 1044.68316 1044.79103 1044.89890 1045.00677 1045.11464
## [973] 1045.22251 1045.33038 1045.43825 1045.54612 1045.65399 1045.76186
## [979] 1045.86973 1045.97760 1046.08547 1046.19334 1046.30121 1046.40908
## [985] 1046.51695 1046.62482 1046.73269 1046.84056 1046.94843 1047.05630
## [991] 1047.16417 1047.27204 1047.37991 1047.48778 1047.59565 1047.70352
## [997] 1047.81139 1047.91926 1048.02713 1048.13500 1048.24287 1048.35074
## [1003] 1048.45861 1048.56648 1048.67435 1048.78222 1048.89009 1048.99796
## [1009] 1049.10583 1049.21370 1049.32157 1049.42944 1049.53731 1049.64518
## [1015] 1049.75305 1049.86092 1049.96879 1050.07666 1050.18453 1050.29240
## [1021] 1050.40027 1050.50814 1050.61601 1050.72388 1050.83175 1050.93962
## [1027] 1051.04749 1051.15536 1051.26323 1051.37110 1051.47897 1051.58684
## [1033] 1051.69471 1051.80258 1051.91045 1052.01832 1052.12619 1052.23406
## [1039] 1052.34193 1052.44980 1052.55767 1052.66554 1052.77341 1052.88128
## [1045] 1052.98915 1053.09702 1053.20489 1053.31276 1053.42063 1053.52850
## [1051] 1053.63637 1053.74424 1053.85211 1053.95998 1054.06785 1054.17572
## [1057] 1054.28359 1054.39146 1054.49933 1054.60720 1054.71507 1054.82294
## [1063] 1054.93081 1055.03868 1055.14655 1055.25442 1055.36229 1055.47016
## [1069] 1055.57803 1055.68590 1055.79377 1055.90164 1056.00951 1056.11738
## [1075] 1056.22525 1056.33312 1056.44099 1056.54886 1056.65673 1056.76460
## [1081] 1056.87247 1056.98034 1057.08821 1057.19608 1057.30395 1057.41182
## [1087] 1057.51969 1057.62756 1057.73543 1057.84330 1057.95117 1058.05904
## [1093] 1058.16691 1058.27478 1058.38265 1058.49052 1058.59839 1058.70626
## [1099] 1058.81413 1058.92200 1059.02987 1059.13774 1059.24561 1059.35348
## [1105] 1059.46135 1059.56922 1059.67709 1059.78496 1059.89283 1060.00070
## [1111] 1060.10857 1060.21644 1060.32431 1060.43218 1060.54005 1060.64792
## [1117] 1060.75579 1060.86366 1060.97153 1061.07940 1061.18727 1061.29514
## [1123] 1061.40301 1061.51088 1061.61875 1061.72662 1061.83449 1061.94236
## [1129] 1062.05023 1062.15810 1062.26597 1062.37384 1062.48171 1062.58958
## [1135] 1062.69745 1062.80532 1062.91319 1063.02106 1063.12893 1063.23680
## [1141] 1063.34467 1063.45254 1063.56041 1063.66828 1063.77615 1063.88402
## [1147] 1063.99189 1064.09976 1064.20763 1064.31550 1064.42337 1064.53124
## [1153] 1064.63911 1064.74698 1064.85485 1064.96272 1065.07059 1065.17846
## [1159] 1065.28633 1065.39420 1065.50207 1065.60994 1065.71781 1065.82568
## [1165] 1065.93355 1066.04142 1066.14929 1066.25716 1066.36503 1066.47290
## [1171] 1066.58077 1066.68864 1066.79651 1066.90438 1067.01225 1067.12012
## [1177] 1067.22799 1067.33586 1067.44373 1067.55160 1067.65947 1067.76734
## [1183] 1067.87521 1067.98308 1068.09095 1068.19882 1068.30669 1068.41456
## [1189] 1068.52243 1068.63030 1068.73817 1068.84604 1068.95391 1069.06178
## [1195] 1069.16965 1069.27752 1069.38539 1069.49326 1069.60113 1069.70900
## [1201] 1069.81687 1069.92474 1070.03261 1070.14048 1070.24835 1070.35622
## [1207] 1070.46409 1070.57196 1070.67983 1070.78770 1070.89557 1071.00344
## [1213] 1071.11131 1071.21918 1071.32705 1071.43492 1071.54279 1071.65066
## [1219] 1071.75853 1071.86640 1071.97427 1072.08214 1072.19001 1072.29788
## [1225] 1072.40575 1072.51362 1072.62149 1072.72936 1072.83723 1072.94510
## [1231] 1073.05297 1073.16084 1073.26871 1073.37658 1073.48445 1073.59232
## [1237] 1073.70019 1073.80806 1073.91593 1074.02380 1074.13167 1074.23954
## [1243] 1074.34741 1074.45528 1074.56315 1074.67102 1074.77889 1074.88676
## [1249] 1074.99463 1075.10250 1075.21037 1075.31824 1075.42611 1075.53398
## [1255] 1075.64185 1075.74972 1075.85759 1075.96546 1076.07333 1076.18120
## [1261] 1076.28907 1076.39694 1076.50481 1076.61268 1076.72055 1076.82842
## [1267] 1076.93629 1077.04416 1077.15203 1077.25990 1077.36777 1077.47564
## [1273] 1077.58351 1077.69138 1077.79925 1077.90712 1078.01499 1078.12286
## [1279] 1078.23073 1078.33860 1078.44647 1078.55434 1078.66221 1078.77008
## [1285] 1078.87795 1078.98582 1079.09369 1079.20156 1079.30943 1079.41730
## [1291] 1079.52517 1079.63304 1079.74091 1079.84878 1079.95665 1080.06452
## [1297] 1080.17239 1080.28026 1080.38813 1080.49600 1080.60387 1080.71174
## [1303] 1080.81961 1080.92748 1081.03535 1081.14322 1081.25109 1081.35896
## [1309] 1081.46683 1081.57470 1081.68257 1081.79044 1081.89831 1082.00618
## [1315] 1082.11405 1082.22192 1082.32979 1082.43766 1082.54553 1082.65340
## [1321] 1082.76127 1082.86914 1082.97701 1083.08488 1083.19275 1083.30062
## [1327] 1083.40849 1083.51636 1083.62423 1083.73210 1083.83997 1083.94784
## [1333] 1084.05571 1084.16358 1084.27145 1084.37932 1084.48719 1084.59506
## [1339] 1084.70293 1084.81080 1084.91867 1085.02654 1085.13441 1085.24228
## [1345] 1085.35015 1085.45802 1085.56589 1085.67376 1085.78163 1085.88950
## [1351] 1085.99737 1086.10524 1086.21311 1086.32098 1086.42885 1086.53672
## [1357] 1086.64459 1086.75246 1086.86033 1086.96820 1087.07607 1087.18394
## [1363] 1087.29181 1087.39968 1087.50755 1087.61542 1087.72329 1087.83116
## [1369] 1087.93903 1088.04690 1088.15477 1088.26264 1088.37051 1088.47838
## [1375] 1088.58625 1088.69412 1088.80199 1088.90986 1089.01773 1089.12560
## [1381] 1089.23347 1089.34134 1089.44921 1089.55708 1089.66495 1089.77282
## [1387] 1089.88069 1089.98856 1090.09643 1090.20430 1090.31217 1090.42004
## [1393] 1090.52791 1090.63578 1090.74365 1090.85152 1090.95939 1091.06726
## [1399] 1091.17513 1091.28300 1091.39087 1091.49874 1091.60661 1091.71448
## [1405] 1091.82235 1091.93022 1092.03809 1092.14596 1092.25383 1092.36170
## [1411] 1092.46957 1092.57744 1092.68531 1092.79318 1092.90105 1093.00892
## [1417] 1093.11679 1093.22466 1093.33253 1093.44040 1093.54827 1093.65614
## [1423] 1093.76401 1093.87188 1093.97975 1094.08762 1094.19549 1094.30336
## [1429] 1094.41123 1094.51910 1094.62697 1094.73484 1094.84271 1094.95058
## [1435] 1095.05845 1095.16632 1095.27419 1095.38206 1095.48993 1095.59780
## [1441] 1095.70567 1095.81354 1095.92141 1096.02928 1096.13715 1096.24502
## [1447] 1096.35289 1096.46076 1096.56863 1096.67650 1096.78437 1096.89224
## [1453] 1097.00011 1097.10798 1097.21585 1097.32372 1097.43159 1097.53946
## [1459] 1097.64733 1097.75520 1097.86307 1097.97094 1098.07881 1098.18668
## [1465] 1098.29455 1098.40242 1098.51029 1098.61816 1098.72603 1098.83390
## [1471] 1098.94177 1099.04964 1099.15751 1099.26538 1099.37325 1099.48112
## [1477] 1099.58899 1099.69686 1099.80473 1099.91260 1100.02047 1100.12834
## [1483] 1100.23621 1100.34408 1100.45195 1100.55982 1100.66769 1100.77556
## [1489] 1100.88343 1100.99130 1101.09917 1101.20704 1101.31491 1101.42278
## [1495] 1101.53065 1101.63852 1101.74639 1101.85426 1101.96213 1102.07000
## [1501] 1102.09382 1102.12894 1102.16464 1102.20094 1102.23785 1102.27537
## [1507] 1102.31352 1102.35232 1102.39175 1102.43185 1102.47262 1102.51407
## [1513] 1102.55622 1102.59907 1102.64263 1102.68693 1102.73196 1102.77775
## [1519] 1102.82430 1102.87163 1102.91975 1102.96867 1103.01842 1103.06899
## [1525] 1103.12041 1103.17268 1103.22583 1103.27987 1103.33481 1103.39066
## [1531] 1103.44745 1103.50519 1103.56389 1103.62357 1103.68424 1103.74593
## [1537] 1103.80864 1103.87240 1103.93723 1104.00313 1104.07014 1104.13826
## [1543] 1104.20751 1104.27793 1104.34951 1104.42228 1104.49627 1104.57149
## [1549] 1104.64797 1104.72571 1104.80475 1104.88511 1104.96680 1105.04985
## [1555] 1105.13429 1105.22013 1105.30739 1105.39611 1105.48630 1105.57799
## [1561] 1105.67120 1105.76597 1105.86230 1105.96024 1106.05980 1106.16102
## [1567] 1106.26391 1106.36852 1106.47485 1106.58296 1106.69285 1106.80457
## [1573] 1106.91814 1107.03359 1107.15095 1107.27026 1107.39154 1107.51483
## [1579] 1107.64016 1107.76757 1107.89708 1108.02874 1108.16257 1108.29862
## [1585] 1108.43691 1108.57749 1108.72038 1108.86564 1109.01330 1109.16339
## [1591] 1109.31596 1109.47104 1109.62868 1109.78892 1109.95180 1110.11736
## [1597] 1110.28565 1110.45671 1110.63058 1110.80731 1110.98694 1111.16953
## [1603] 1111.35512 1111.54375 1111.73548 1111.93036 1112.12843 1112.32976
## [1609] 1112.53438 1112.74235 1112.95373 1113.16857 1113.38692 1113.60884
## [1615] 1113.83439 1114.06363 1114.29661 1114.53339 1114.77403 1115.01860
## [1621] 1115.26715 1115.51976 1115.77647 1116.03736 1116.30250 1116.57194
## [1627] 1116.84577 1117.12403 1117.40682 1117.69418 1117.98621 1118.28297
## [1633] 1118.58452 1118.89096 1119.20235 1119.51878 1119.84031 1120.16702
## [1639] 1120.49901 1120.83634 1121.17911 1121.52739 1121.88127 1122.24084
## [1645] 1122.60617 1122.97737 1123.35452 1123.73770 1124.12702 1124.52256
## [1651] 1124.92443 1125.33270 1125.74749 1126.16889 1126.59699 1127.03191
## [1657] 1127.47373 1127.92257 1128.37853 1128.84172 1129.31223 1129.79019
## [1663] 1130.27569 1130.76886 1131.26980 1131.77863 1132.29546 1132.82042
## [1669] 1133.35361 1133.89516 1134.44520 1135.00383 1135.57119 1136.14740
## [1675] 1136.73259 1137.32689 1137.93042 1138.54332 1139.16572 1139.79776
## [1681] 1140.43956 1141.09128 1141.75304 1142.42498 1143.10725 1143.80000
## [1687] 1144.50336 1145.21747 1145.94250 1146.67858 1147.42587 1148.18452
## [1693] 1148.95468 1149.73651 1150.53016 1151.33579 1152.15356 1152.98363
## [1699] 1153.82616 1154.68132 1155.54926 1156.43016 1157.32418 1158.23148
## [1705] 1159.15225 1160.08665 1161.03485 1161.99703 1162.97336 1163.96401
## [1711] 1164.96917 1165.98901 1167.02371 1168.07345 1169.13842 1170.21879
## [1717] 1171.31475 1172.42649 1173.55418 1174.69801 1175.85818 1177.03487
## [1723] 1178.22826 1179.43855 1180.66592 1181.91058 1183.17270 1184.45247
## [1729] 1185.75010 1187.06577 1188.39968 1189.75201 1191.12296 1192.51273
## [1735] 1193.92150 1195.34946 1196.79683 1198.26377 1199.75049 1201.25718
## [1741] 1202.78402 1204.33122 1205.89896 1207.48743 1209.09682 1210.72732
## [1747] 1212.37911 1214.05238 1215.74732 1217.46410 1219.20292 1220.96395
## [1753] 1222.74737 1224.55336 1226.38209 1228.23374 1230.10847 1232.00647
## [1759] 1233.92789 1235.87290 1237.84166 1239.83433 1241.85106 1243.89202
## [1765] 1245.95735 1248.04720 1250.16171 1252.30102 1254.46527 1256.65458
## [1771] 1258.86910 1261.10895 1263.37424 1265.66509 1267.98161 1270.32392
## [1777] 1272.69210 1275.08627 1277.50650 1279.95289 1282.42552 1284.92447
## [1783] 1287.44979 1290.00157 1292.57984 1295.18468 1297.81611 1300.47419
## [1789] 1303.15893 1305.87037 1308.60853 1311.37341 1314.16502 1316.98335
## [1795] 1319.82840 1322.70014 1325.59855 1328.52359 1331.47522 1334.45338
## [1801] 1337.45803 1340.48908 1343.54647 1346.63011 1349.73989 1352.87573
## [1807] 1356.03751 1359.22510 1362.43838 1365.67720 1368.94142 1372.23088
## [1813] 1375.54540 1378.88482 1382.24894 1385.63757 1389.05050 1392.48751
## [1819] 1395.94837 1399.43286 1402.94072 1406.47169 1410.02552 1413.60192
## [1825] 1417.20061 1420.82130 1424.46368 1428.12743 1431.81223 1435.51774
## [1831] 1439.24363 1442.98954 1446.75510 1450.53995 1454.34369 1458.16595
## [1837] 1462.00633 1465.86441 1469.73978 1473.63201 1477.54067 1481.46532
## [1843] 1485.40550 1489.36077 1493.33064 1497.31466 1501.31234 1505.32319
## [1849] 1509.34672 1513.38242 1517.42979 1521.48832 1525.55748 1529.63676
## [1855] 1533.72561 1537.82350 1541.92989 1546.04425 1550.16600 1554.29461
## [1861] 1558.42952 1562.57015 1566.71596 1570.86637 1575.02081 1579.17871
## [1867] 1583.33950 1587.50260 1591.66744 1595.83343 1600.00000 1604.16657
## [1873] 1608.33256 1612.49740 1616.66050 1620.82129 1624.97919 1629.13363
## [1879] 1633.28404 1637.42985 1641.57048 1645.70539 1649.83400 1653.95575
## [1885] 1658.07011 1662.17650 1666.27439 1670.36324 1674.44252 1678.51168
## [1891] 1682.57021 1686.61758 1690.65328 1694.67681 1698.68766 1702.68534
## [1897] 1706.66936 1710.63923 1714.59450 1718.53468 1722.45933 1726.36799
## [1903] 1730.26022 1734.13559 1737.99367 1741.83405 1745.65631 1749.46005
## [1909] 1753.24490 1757.01046 1760.75637 1764.48226 1768.18777 1771.87257
## [1915] 1775.53632 1779.17870 1782.79939 1786.39808 1789.97448 1793.52831
## [1921] 1797.05928 1800.56714 1804.05163 1807.51249 1810.94950 1814.36243
## [1927] 1817.75106 1821.11518 1824.45460 1827.76912 1831.05858 1834.32280
## [1933] 1837.56162 1840.77490 1843.96249 1847.12427 1850.26011 1853.36989
## [1939] 1856.45353 1859.51092 1862.54197 1865.54662 1868.52478 1871.47641
## [1945] 1874.40145 1877.29986 1880.17160 1883.01665 1885.83498 1888.62659
## [1951] 1891.39147 1894.12963 1896.84107 1899.52581 1902.18389 1904.81532
## [1957] 1907.42016 1909.99843 1912.55021 1915.07553 1917.57448 1920.04711
## [1963] 1922.49350 1924.91373 1927.30790 1929.67608 1932.01839 1934.33491
## [1969] 1936.62576 1938.89105 1941.13090 1943.34542 1945.53473 1947.69898
## [1975] 1949.83829 1951.95280 1954.04265 1956.10798 1958.14894 1960.16567
## [1981] 1962.15834 1964.12710 1966.07211 1967.99353 1969.89153 1971.76626
## [1987] 1973.61791 1975.44664 1977.25263 1979.03605 1980.79708 1982.53590
## [1993] 1984.25268 1985.94762 1987.62089 1989.27268 1990.90318 1992.51257
## [1999] 1994.10104 1995.66878 1997.21598jp## [1] 5.543121e-01 5.629760e-01 5.717647e-01 5.806794e-01 5.897218e-01
## [6] 5.988932e-01 6.081951e-01 6.176289e-01 6.271961e-01 6.368983e-01
## [11] 6.467368e-01 6.567131e-01 6.668287e-01 6.770851e-01 6.874837e-01
## [16] 6.980260e-01 7.087134e-01 7.195476e-01 7.305298e-01 7.416615e-01
## [21] 7.529443e-01 7.643796e-01 7.759687e-01 7.877132e-01 7.996144e-01
## [26] 8.116738e-01 8.238928e-01 8.362728e-01 8.488151e-01 8.615212e-01
## [31] 8.743923e-01 8.874299e-01 9.006352e-01 9.140096e-01 9.275544e-01
## [36] 9.412707e-01 9.551600e-01 9.692233e-01 9.834619e-01 9.978769e-01
## [41] 1.012470e+00 1.027241e+00 1.042192e+00 1.057324e+00 1.072638e+00
## [46] 1.088135e+00 1.103816e+00 1.119681e+00 1.135733e+00 1.151970e+00
## [51] 1.168395e+00 1.185008e+00 1.201810e+00 1.218801e+00 1.235982e+00
## [56] 1.253354e+00 1.270917e+00 1.288671e+00 1.306617e+00 1.324755e+00
## [61] 1.343086e+00 1.361610e+00 1.380326e+00 1.399235e+00 1.418337e+00
## [66] 1.437632e+00 1.457120e+00 1.476800e+00 1.496672e+00 1.516736e+00
## [71] 1.536991e+00 1.557437e+00 1.578073e+00 1.598898e+00 1.619912e+00
## [76] 1.641113e+00 1.662501e+00 1.684074e+00 1.705831e+00 1.727771e+00
## [81] 1.749893e+00 1.772195e+00 1.794674e+00 1.817330e+00 1.840161e+00
## [86] 1.863164e+00 1.886338e+00 1.909679e+00 1.933187e+00 1.956858e+00
## [91] 1.980689e+00 2.004678e+00 2.028822e+00 2.053118e+00 2.077563e+00
## [96] 2.102154e+00 2.126886e+00 2.151757e+00 2.176762e+00 2.201899e+00
## [101] 2.227162e+00 2.252548e+00 2.278052e+00 2.303669e+00 2.329397e+00
## [106] 2.355228e+00 2.381159e+00 2.407184e+00 2.433299e+00 2.459498e+00
## [111] 2.485774e+00 2.512123e+00 2.538539e+00 2.565016e+00 2.591547e+00
## [116] 2.618127e+00 2.644748e+00 2.671405e+00 2.698090e+00 2.724796e+00
## [121] 2.751517e+00 2.778245e+00 2.804973e+00 2.831693e+00 2.858398e+00
## [126] 2.885080e+00 2.911731e+00 2.938343e+00 2.964907e+00 2.991417e+00
## [131] 3.017862e+00 3.044235e+00 3.070526e+00 3.096728e+00 3.122831e+00
## [136] 3.148827e+00 3.174705e+00 3.200457e+00 3.226075e+00 3.251547e+00
## [141] 3.276866e+00 3.302020e+00 3.327002e+00 3.351801e+00 3.376408e+00
## [146] 3.400812e+00 3.425005e+00 3.448976e+00 3.472716e+00 3.496214e+00
## [151] 3.519461e+00 3.542447e+00 3.565162e+00 3.587596e+00 3.609740e+00
## [156] 3.631583e+00 3.653117e+00 3.674330e+00 3.695215e+00 3.715760e+00
## [161] 3.735956e+00 3.755795e+00 3.775267e+00 3.794362e+00 3.813071e+00
## [166] 3.831385e+00 3.849296e+00 3.866794e+00 3.883871e+00 3.900519e+00
## [171] 3.916729e+00 3.932492e+00 3.947802e+00 3.962649e+00 3.977027e+00
## [176] 3.990929e+00 4.004346e+00 4.017272e+00 4.029700e+00 4.041623e+00
## [181] 4.053036e+00 4.063932e+00 4.074305e+00 4.084150e+00 4.093462e+00
## [186] 4.102235e+00 4.110464e+00 4.118146e+00 4.125276e+00 4.131850e+00
## [191] 4.137865e+00 4.143317e+00 4.148203e+00 4.152521e+00 4.156267e+00
## [196] 4.159441e+00 4.162040e+00 4.164064e+00 4.165509e+00 4.166377e+00
## [201] 4.166667e+00 4.166377e+00 4.165509e+00 4.164064e+00 4.162040e+00
## [206] 4.159441e+00 4.156267e+00 4.152521e+00 4.148203e+00 4.143317e+00
## [211] 4.137865e+00 4.131850e+00 4.125276e+00 4.118146e+00 4.110464e+00
## [216] 4.102235e+00 4.093462e+00 4.084150e+00 4.074305e+00 4.063932e+00
## [221] 4.053036e+00 4.041623e+00 4.029700e+00 4.017272e+00 4.004346e+00
## [226] 3.990929e+00 3.977027e+00 3.962649e+00 3.947802e+00 3.932492e+00
## [231] 3.916729e+00 3.900519e+00 3.883871e+00 3.866794e+00 3.849296e+00
## [236] 3.831385e+00 3.813071e+00 3.794362e+00 3.775267e+00 3.755795e+00
## [241] 3.735956e+00 3.715760e+00 3.695215e+00 3.674330e+00 3.653117e+00
## [246] 3.631583e+00 3.609740e+00 3.587596e+00 3.565162e+00 3.542447e+00
## [251] 3.519461e+00 3.496214e+00 3.472716e+00 3.448976e+00 3.425005e+00
## [256] 3.400812e+00 3.376408e+00 3.351801e+00 3.327002e+00 3.302020e+00
## [261] 3.276866e+00 3.251547e+00 3.226075e+00 3.200457e+00 3.174705e+00
## [266] 3.148827e+00 3.122831e+00 3.096728e+00 3.070526e+00 3.044235e+00
## [271] 3.017862e+00 2.991417e+00 2.964907e+00 2.938343e+00 2.911731e+00
## [276] 2.885080e+00 2.858398e+00 2.831693e+00 2.804973e+00 2.778245e+00
## [281] 2.751517e+00 2.724796e+00 2.698090e+00 2.671405e+00 2.644748e+00
## [286] 2.618127e+00 2.591547e+00 2.565016e+00 2.538539e+00 2.512123e+00
## [291] 2.485774e+00 2.459498e+00 2.433299e+00 2.407184e+00 2.381159e+00
## [296] 2.355228e+00 2.329397e+00 2.303669e+00 2.278052e+00 2.252548e+00
## [301] 2.227162e+00 2.201899e+00 2.176762e+00 2.151757e+00 2.126886e+00
## [306] 2.102154e+00 2.077563e+00 2.053118e+00 2.028822e+00 2.004678e+00
## [311] 1.980689e+00 1.956858e+00 1.933187e+00 1.909679e+00 1.886338e+00
## [316] 1.863164e+00 1.840161e+00 1.817330e+00 1.794674e+00 1.772195e+00
## [321] 1.749893e+00 1.727771e+00 1.705831e+00 1.684074e+00 1.662501e+00
## [326] 1.641113e+00 1.619912e+00 1.598898e+00 1.578073e+00 1.557437e+00
## [331] 1.536991e+00 1.516736e+00 1.496672e+00 1.476800e+00 1.457120e+00
## [336] 1.437632e+00 1.418337e+00 1.399235e+00 1.380326e+00 1.361610e+00
## [341] 1.343086e+00 1.324755e+00 1.306617e+00 1.288671e+00 1.270917e+00
## [346] 1.253354e+00 1.235982e+00 1.218801e+00 1.201810e+00 1.185008e+00
## [351] 1.168395e+00 1.151970e+00 1.135733e+00 1.119681e+00 1.103816e+00
## [356] 1.088135e+00 1.072638e+00 1.057324e+00 1.042192e+00 1.027241e+00
## [361] 1.012470e+00 9.978769e-01 9.834619e-01 9.692233e-01 9.551600e-01
## [366] 9.412707e-01 9.275544e-01 9.140096e-01 9.006352e-01 8.874299e-01
## [371] 8.743923e-01 8.615212e-01 8.488151e-01 8.362728e-01 8.238928e-01
## [376] 8.116738e-01 7.996144e-01 7.877132e-01 7.759687e-01 7.643796e-01
## [381] 7.529443e-01 7.416615e-01 7.305298e-01 7.195476e-01 7.087134e-01
## [386] 6.980260e-01 6.874837e-01 6.770851e-01 6.668287e-01 6.567131e-01
## [391] 6.467368e-01 6.368983e-01 6.271961e-01 6.176289e-01 6.081951e-01
## [396] 5.988932e-01 5.897218e-01 5.806794e-01 5.717647e-01 5.629760e-01
## [401] 5.543121e-01 5.457714e-01 5.373525e-01 5.290540e-01 5.208745e-01
## [406] 5.128125e-01 5.048667e-01 4.970356e-01 4.893179e-01 4.817122e-01
## [411] 4.742171e-01 4.668312e-01 4.595532e-01 4.523817e-01 4.453155e-01
## [416] 4.383531e-01 4.314932e-01 4.247346e-01 4.180760e-01 4.115160e-01
## [421] 4.050533e-01 3.986868e-01 3.924151e-01 3.862371e-01 3.801514e-01
## [426] 3.741568e-01 3.682522e-01 3.624364e-01 3.567080e-01 3.510660e-01
## [431] 3.455093e-01 3.400365e-01 3.346467e-01 3.293386e-01 3.241111e-01
## [436] 3.189632e-01 3.138937e-01 3.089016e-01 3.039857e-01 2.991450e-01
## [441] 2.943784e-01 2.896850e-01 2.850636e-01 2.805133e-01 2.760331e-01
## [446] 2.716219e-01 2.672788e-01 2.630028e-01 2.587929e-01 2.546482e-01
## [451] 2.505678e-01 2.465507e-01 2.425960e-01 2.387028e-01 2.348702e-01
## [456] 2.310974e-01 2.273834e-01 2.237273e-01 2.201285e-01 2.165859e-01
## [461] 2.130988e-01 2.096664e-01 2.062878e-01 2.029622e-01 1.996889e-01
## [466] 1.964671e-01 1.932960e-01 1.901749e-01 1.871030e-01 1.840795e-01
## [471] 1.811038e-01 1.781752e-01 1.752928e-01 1.724561e-01 1.696643e-01
## [476] 1.669167e-01 1.642127e-01 1.615517e-01 1.589329e-01 1.563557e-01
## [481] 1.538195e-01 1.513237e-01 1.488677e-01 1.464507e-01 1.440723e-01
## [486] 1.417319e-01 1.394288e-01 1.371625e-01 1.349324e-01 1.327380e-01
## [491] 1.305787e-01 1.284539e-01 1.263632e-01 1.243060e-01 1.222818e-01
## [496] 1.202900e-01 1.183302e-01 1.164019e-01 1.145046e-01 1.126378e-01
## [501] 1.108009e-01 1.089937e-01 1.072155e-01 1.054660e-01 1.037446e-01
## [506] 1.020510e-01 1.003847e-01 9.874524e-02 9.713226e-02 9.554532e-02
## [511] 9.398401e-02 9.244792e-02 9.093666e-02 8.944983e-02 8.798705e-02
## [516] 8.654794e-02 8.513211e-02 8.373922e-02 8.236888e-02 8.102074e-02
## [521] 7.969446e-02 7.838967e-02 7.710605e-02 7.584325e-02 7.460095e-02
## [526] 7.337881e-02 7.217651e-02 7.099375e-02 6.983020e-02 6.868556e-02
## [531] 6.755953e-02 6.645181e-02 6.536211e-02 6.429014e-02 6.323561e-02
## [536] 6.219825e-02 6.117777e-02 6.017392e-02 5.918643e-02 5.821502e-02
## [541] 5.725944e-02 5.631945e-02 5.539478e-02 5.448519e-02 5.359044e-02
## [546] 5.271029e-02 5.184450e-02 5.099285e-02 5.015510e-02 4.933103e-02
## [551] 4.852042e-02 4.772305e-02 4.693872e-02 4.616720e-02 4.540829e-02
## [556] 4.466179e-02 4.392750e-02 4.320522e-02 4.249475e-02 4.179590e-02
## [561] 4.110849e-02 4.043234e-02 3.976724e-02 3.911304e-02 3.846955e-02
## [566] 3.783660e-02 3.721402e-02 3.660163e-02 3.599928e-02 3.540680e-02
## [571] 3.482402e-02 3.425080e-02 3.368698e-02 3.313240e-02 3.258692e-02
## [576] 3.205038e-02 3.152264e-02 3.100356e-02 3.049300e-02 2.999081e-02
## [581] 2.949686e-02 2.901102e-02 2.853316e-02 2.806314e-02 2.760083e-02
## [586] 2.714612e-02 2.669887e-02 2.625897e-02 2.582630e-02 2.540073e-02
## [591] 2.498215e-02 2.457046e-02 2.416552e-02 2.376724e-02 2.337551e-02
## [596] 2.299021e-02 2.261125e-02 2.223852e-02 2.187191e-02 2.151134e-02
## [601] 2.115669e-02 2.080788e-02 2.046480e-02 2.012736e-02 1.979548e-02
## [606] 1.946905e-02 1.914800e-02 1.883223e-02 1.852165e-02 1.821618e-02
## [611] 1.791575e-02 1.762025e-02 1.732962e-02 1.704378e-02 1.676263e-02
## [616] 1.648612e-02 1.621416e-02 1.594668e-02 1.568360e-02 1.542485e-02
## [621] 1.517037e-02 1.492007e-02 1.467390e-02 1.443178e-02 1.419366e-02
## [626] 1.395945e-02 1.372910e-02 1.350255e-02 1.327973e-02 1.306058e-02
## [631] 1.284504e-02 1.263305e-02 1.242456e-02 1.221950e-02 1.201782e-02
## [636] 1.181947e-02 1.162438e-02 1.143251e-02 1.124380e-02 1.105821e-02
## [641] 1.087567e-02 1.069614e-02 1.051958e-02 1.034592e-02 1.017513e-02
## [646] 1.000715e-02 9.841941e-03 9.679458e-03 9.519654e-03 9.362486e-03
## [651] 9.207909e-03 9.055882e-03 8.906362e-03 8.759309e-03 8.614681e-03
## [656] 8.472438e-03 8.332542e-03 8.194954e-03 8.059635e-03 7.926549e-03
## [661] 7.795658e-03 7.666927e-03 7.540319e-03 7.415801e-03 7.293337e-03
## [666] 7.172893e-03 7.054437e-03 6.937936e-03 6.823357e-03 6.710669e-03
## [671] 6.599840e-03 6.490840e-03 6.383640e-03 6.278208e-03 6.174517e-03
## [676] 6.072536e-03 5.972239e-03 5.873598e-03 5.776584e-03 5.681172e-03
## [681] 5.587335e-03 5.495047e-03 5.404282e-03 5.315015e-03 5.227223e-03
## [686] 5.140879e-03 5.055961e-03 4.972444e-03 4.890307e-03 4.809525e-03
## [691] 4.730078e-03 4.651942e-03 4.575096e-03 4.499518e-03 4.425189e-03
## [696] 4.352087e-03 4.280192e-03 4.209484e-03 4.139944e-03 4.071552e-03
## [701] 4.004289e-03 3.938137e-03 3.873078e-03 3.809093e-03 3.746164e-03
## [706] 3.684275e-03 3.623408e-03 3.563546e-03 3.504673e-03 3.446772e-03
## [711] 3.389827e-03 3.333823e-03 3.278743e-03 3.224574e-03 3.171299e-03
## [716] 3.118904e-03 3.067374e-03 3.016696e-03 2.966855e-03 2.917837e-03
## [721] 2.869628e-03 2.822216e-03 2.775587e-03 2.729728e-03 2.684627e-03
## [726] 2.640271e-03 2.596648e-03 2.553745e-03 2.511551e-03 2.470054e-03
## [731] 2.429243e-03 2.389105e-03 2.349631e-03 2.310809e-03 2.272629e-03
## [736] 2.235079e-03 2.198149e-03 2.161830e-03 2.126111e-03 2.090982e-03
## [741] 2.056433e-03 2.022455e-03 1.989038e-03 1.956174e-03 1.923853e-03
## [746] 1.892065e-03 1.860803e-03 1.830058e-03 1.799820e-03 1.770082e-03
## [751] 1.740836e-03 1.712073e-03 1.683785e-03 1.655964e-03 1.628603e-03
## [756] 1.601695e-03 1.575231e-03 1.549204e-03 1.523608e-03 1.498434e-03
## [761] 1.473677e-03 1.449329e-03 1.425383e-03 1.401832e-03 1.378671e-03
## [766] 1.355893e-03 1.333492e-03 1.311460e-03 1.289793e-03 1.268484e-03
## [771] 1.247527e-03 1.226916e-03 1.206646e-03 1.186711e-03 1.167106e-03
## [776] 1.147825e-03 1.128862e-03 1.110213e-03 1.091872e-03 1.073835e-03
## [781] 1.056096e-03 1.038650e-03 1.021492e-03 1.004618e-03 9.880231e-04
## [786] 9.717026e-04 9.556520e-04 9.398667e-04 9.243426e-04 9.090751e-04
## [791] 8.940602e-04 8.792936e-04 8.647713e-04 8.504892e-04 8.364434e-04
## [796] 8.226300e-04 8.090452e-04 7.956852e-04 7.825462e-04 7.696248e-04
## [801] 7.569173e-04 7.444202e-04 7.321300e-04 7.200434e-04 7.081570e-04
## [806] 6.964676e-04 6.849720e-04 6.736669e-04 6.625493e-04 6.516162e-04
## [811] 6.408646e-04 6.302914e-04 6.198940e-04 6.096693e-04 5.996147e-04
## [816] 5.897274e-04 5.800048e-04 5.704443e-04 5.610434e-04 5.517994e-04
## [821] 5.427100e-04 5.337729e-04 5.249856e-04 5.163460e-04 5.078517e-04
## [826] 4.995007e-04 4.912909e-04 4.832203e-04 4.752868e-04 4.674886e-04
## [831] 4.598239e-04 4.522910e-04 4.448881e-04 4.376137e-04 4.304663e-04
## [836] 4.234445e-04 4.165469e-04 4.097723e-04 4.031197e-04 3.965880e-04
## [841] 3.901763e-04 3.838840e-04 3.777104e-04 3.716551e-04 3.657178e-04
## [846] 3.598984e-04 3.541970e-04 3.486139e-04 3.431497e-04 3.378052e-04
## [851] 3.325815e-04 3.274799e-04 3.225022e-04 3.176504e-04 3.129270e-04
## [856] 3.083349e-04 3.038775e-04 2.995588e-04 2.953832e-04 2.913559e-04
## [861] 2.874828e-04 2.837704e-04 2.802262e-04 2.768588e-04 2.736774e-04
## [866] 2.706928e-04 2.679167e-04 2.653625e-04 2.630449e-04 2.609805e-04
## [871] 2.591876e-04 2.576866e-04 2.565002e-04 2.556537e-04 2.551751e-04
## [876] 2.550956e-04 2.554494e-04 2.562750e-04 2.576147e-04 2.595153e-04
## [881] 2.620291e-04 2.652134e-04 2.691321e-04 2.738558e-04 2.794625e-04
## [886] 2.860386e-04 2.936799e-04 3.024920e-04 3.125920e-04 3.241092e-04
## [891] 3.371868e-04 3.519830e-04 3.686728e-04 3.874497e-04 4.085275e-04
## [896] 4.321427e-04 4.585569e-04 4.880589e-04 5.209683e-04 5.576382e-04
## [901] 5.984589e-04 6.438619e-04 6.943240e-04 7.503722e-04 8.125892e-04
## [906] 8.816186e-04 9.581719e-04 1.043035e-03 1.137078e-03 1.241260e-03
## [911] 1.356643e-03 1.484399e-03 1.625823e-03 1.782349e-03 1.955557e-03
## [916] 2.147196e-03 2.359197e-03 2.593694e-03 2.853044e-03 3.139852e-03
## [921] 3.456995e-03 3.807651e-03 4.195330e-03 4.623911e-03 5.097676e-03
## [926] 5.621354e-03 6.200168e-03 6.839886e-03 7.546874e-03 8.328163e-03
## [931] 9.191511e-03 1.014548e-02 1.119953e-02 1.236408e-02 1.365063e-02
## [936] 1.507188e-02 1.664182e-02 1.837587e-02 2.029104e-02 2.240605e-02
## [941] 2.474156e-02 2.732028e-02 3.016722e-02 3.330991e-02 3.677861e-02
## [946] 4.060659e-02 4.483038e-02 4.949010e-02 5.462974e-02 6.029755e-02
## [951] 6.654633e-02 7.343386e-02 8.102329e-02 8.938351e-02 9.858964e-02
## [956] 1.087234e-01 1.198736e-01 1.321365e-01 1.456161e-01 1.604250e-01
## [961] 1.766840e-01 1.945228e-01 2.140801e-01 2.355036e-01 2.589497e-01
## [966] 2.845833e-01 3.125770e-01 3.431104e-01 3.763686e-01 4.125405e-01
## [971] 4.518162e-01 4.943846e-01 5.404295e-01 5.901248e-01 6.436301e-01
## [976] 7.010837e-01 7.625959e-01 8.282410e-01 8.980481e-01 9.719913e-01
## [981] 1.049980e+00 1.131846e+00 1.217336e+00 1.306100e+00 1.397680e+00
## [986] 1.491506e+00 1.586890e+00 1.683024e+00 1.778984e+00 1.873738e+00
## [991] 1.966158e+00 2.055042e+00 2.139135e+00 2.217167e+00 2.287880e+00
## [996] 2.350074e+00 2.402644e+00 2.444619e+00 2.475202e+00 2.493796e+00
## [1001] 2.500035e+00 2.493795e+00 2.475201e+00 2.444618e+00 2.402642e+00
## [1006] 2.350071e+00 2.287876e+00 2.217162e+00 2.139130e+00 2.055036e+00
## [1011] 1.966152e+00 1.873731e+00 1.778977e+00 1.683016e+00 1.586881e+00
## [1016] 1.491496e+00 1.397670e+00 1.306089e+00 1.217325e+00 1.131834e+00
## [1021] 1.049967e+00 9.719780e-01 8.980341e-01 8.282264e-01 7.625806e-01
## [1026] 7.010677e-01 6.436135e-01 5.901075e-01 5.404115e-01 4.943660e-01
## [1031] 4.517968e-01 4.125204e-01 3.763479e-01 3.430889e-01 3.125548e-01
## [1036] 2.845604e-01 2.589261e-01 2.354792e-01 2.140550e-01 1.944969e-01
## [1041] 1.766573e-01 1.603976e-01 1.455879e-01 1.321075e-01 1.198438e-01
## [1046] 1.086928e-01 9.855827e-02 8.935132e-02 8.099027e-02 7.340001e-02
## [1051] 6.651164e-02 6.026201e-02 5.459334e-02 4.945282e-02 4.479222e-02
## [1056] 4.056753e-02 3.673865e-02 3.326904e-02 3.012542e-02 2.727754e-02
## [1061] 2.469787e-02 2.236140e-02 2.024541e-02 1.832926e-02 1.659421e-02
## [1066] 1.502326e-02 1.360098e-02 1.231339e-02 1.114778e-02 1.009267e-02
## [1071] 9.137611e-03 8.273164e-03 7.490761e-03 6.782643e-03 6.141780e-03
## [1076] 5.561803e-03 5.036947e-03 4.561987e-03 4.132194e-03 3.743284e-03
## [1081] 3.391381e-03 3.072972e-03 2.784879e-03 2.524225e-03 2.288406e-03
## [1086] 2.075062e-03 1.882061e-03 1.707470e-03 1.549541e-03 1.406691e-03
## [1091] 1.277488e-03 1.160637e-03 1.054964e-03 9.594079e-04 8.730074e-04
## [1096] 7.948935e-04 7.242794e-04 6.604533e-04 6.027708e-04 5.506491e-04
## [1101] 5.035606e-04 4.610280e-04 4.226194e-04 3.879440e-04 3.566481e-04
## [1106] 3.284118e-04 3.029455e-04 2.799874e-04 2.593005e-04 2.406701e-04
## [1111] 2.239025e-04 2.088220e-04 1.952698e-04 1.831024e-04 1.721896e-04
## [1116] 1.624139e-04 1.536689e-04 1.458585e-04 1.388956e-04 1.327015e-04
## [1121] 1.272049e-04 1.223415e-04 1.180531e-04 1.142869e-04 1.109953e-04
## [1126] 1.081353e-04 1.056680e-04 1.035581e-04 1.017739e-04 1.002866e-04
## [1131] 9.907021e-05 9.810127e-05 9.735860e-05 9.682304e-05 9.647731e-05
## [1136] 9.630582e-05 9.629447e-05 9.643058e-05 9.670269e-05 9.710049e-05
## [1141] 9.761469e-05 9.823691e-05 9.895963e-05 9.977608e-05 1.006802e-04
## [1146] 1.016665e-04 1.027301e-04 1.038667e-04 1.050723e-04 1.063435e-04
## [1151] 1.076770e-04 1.090703e-04 1.105208e-04 1.120263e-04 1.135851e-04
## [1156] 1.151953e-04 1.168556e-04 1.185647e-04 1.203215e-04 1.221251e-04
## [1161] 1.239747e-04 1.258697e-04 1.278095e-04 1.297939e-04 1.318224e-04
## [1166] 1.338949e-04 1.360112e-04 1.381712e-04 1.403751e-04 1.426230e-04
## [1171] 1.449148e-04 1.472510e-04 1.496317e-04 1.520573e-04 1.545281e-04
## [1176] 1.570445e-04 1.596070e-04 1.622160e-04 1.648721e-04 1.675758e-04
## [1181] 1.703277e-04 1.731284e-04 1.759785e-04 1.788787e-04 1.818296e-04
## [1186] 1.848321e-04 1.878868e-04 1.909946e-04 1.941561e-04 1.973722e-04
## [1191] 2.006437e-04 2.039715e-04 2.073565e-04 2.107995e-04 2.143014e-04
## [1196] 2.178633e-04 2.214860e-04 2.251705e-04 2.289178e-04 2.327290e-04
## [1201] 2.366050e-04 2.405469e-04 2.445559e-04 2.486329e-04 2.527791e-04
## [1206] 2.569957e-04 2.612838e-04 2.656446e-04 2.700792e-04 2.745890e-04
## [1211] 2.791751e-04 2.838388e-04 2.885815e-04 2.934043e-04 2.983087e-04
## [1216] 3.032960e-04 3.083676e-04 3.135249e-04 3.187693e-04 3.241022e-04
## [1221] 3.295253e-04 3.350398e-04 3.406475e-04 3.463498e-04 3.521483e-04
## [1226] 3.580447e-04 3.640405e-04 3.701374e-04 3.763371e-04 3.826414e-04
## [1231] 3.890520e-04 3.955706e-04 4.021992e-04 4.089394e-04 4.157932e-04
## [1236] 4.227625e-04 4.298493e-04 4.370554e-04 4.443829e-04 4.518339e-04
## [1241] 4.594103e-04 4.671144e-04 4.749482e-04 4.829139e-04 4.910137e-04
## [1246] 4.992499e-04 5.076247e-04 5.161406e-04 5.247998e-04 5.336047e-04
## [1251] 5.425579e-04 5.516617e-04 5.609188e-04 5.703316e-04 5.799028e-04
## [1256] 5.896351e-04 5.995312e-04 6.095937e-04 6.198256e-04 6.302296e-04
## [1261] 6.408086e-04 6.515656e-04 6.625035e-04 6.736254e-04 6.849344e-04
## [1266] 6.964337e-04 7.081263e-04 7.200156e-04 7.321048e-04 7.443974e-04
## [1271] 7.568967e-04 7.696062e-04 7.825294e-04 7.956699e-04 8.090314e-04
## [1276] 8.226175e-04 8.364321e-04 8.504790e-04 8.647621e-04 8.792853e-04
## [1281] 8.940526e-04 9.090683e-04 9.243364e-04 9.398611e-04 9.556469e-04
## [1286] 9.716980e-04 9.880190e-04 1.004614e-03 1.021489e-03 1.038646e-03
## [1291] 1.056093e-03 1.073832e-03 1.091870e-03 1.110211e-03 1.128860e-03
## [1296] 1.147823e-03 1.167104e-03 1.186710e-03 1.206645e-03 1.226915e-03
## [1301] 1.247526e-03 1.268483e-03 1.289792e-03 1.311459e-03 1.333491e-03
## [1306] 1.355893e-03 1.378671e-03 1.401832e-03 1.425382e-03 1.449328e-03
## [1311] 1.473676e-03 1.498434e-03 1.523608e-03 1.549204e-03 1.575231e-03
## [1316] 1.601695e-03 1.628603e-03 1.655964e-03 1.683785e-03 1.712072e-03
## [1321] 1.740836e-03 1.770082e-03 1.799820e-03 1.830058e-03 1.860803e-03
## [1326] 1.892065e-03 1.923853e-03 1.956174e-03 1.989038e-03 2.022455e-03
## [1331] 2.056433e-03 2.090982e-03 2.126111e-03 2.161830e-03 2.198149e-03
## [1336] 2.235079e-03 2.272629e-03 2.310809e-03 2.349631e-03 2.389105e-03
## [1341] 2.429243e-03 2.470054e-03 2.511551e-03 2.553745e-03 2.596648e-03
## [1346] 2.640271e-03 2.684627e-03 2.729728e-03 2.775587e-03 2.822216e-03
## [1351] 2.869628e-03 2.917836e-03 2.966855e-03 3.016696e-03 3.067374e-03
## [1356] 3.118904e-03 3.171299e-03 3.224574e-03 3.278743e-03 3.333823e-03
## [1361] 3.389827e-03 3.446772e-03 3.504673e-03 3.563546e-03 3.623408e-03
## [1366] 3.684275e-03 3.746164e-03 3.809093e-03 3.873078e-03 3.938137e-03
## [1371] 4.004289e-03 4.071552e-03 4.139944e-03 4.209484e-03 4.280192e-03
## [1376] 4.352087e-03 4.425189e-03 4.499518e-03 4.575096e-03 4.651942e-03
## [1381] 4.730078e-03 4.809525e-03 4.890307e-03 4.972444e-03 5.055961e-03
## [1386] 5.140879e-03 5.227223e-03 5.315015e-03 5.404282e-03 5.495047e-03
## [1391] 5.587335e-03 5.681172e-03 5.776584e-03 5.873598e-03 5.972239e-03
## [1396] 6.072536e-03 6.174517e-03 6.278208e-03 6.383640e-03 6.490840e-03
## [1401] 6.599840e-03 6.710669e-03 6.823357e-03 6.937936e-03 7.054437e-03
## [1406] 7.172893e-03 7.293337e-03 7.415801e-03 7.540319e-03 7.666927e-03
## [1411] 7.795658e-03 7.926549e-03 8.059635e-03 8.194954e-03 8.332542e-03
## [1416] 8.472438e-03 8.614681e-03 8.759309e-03 8.906362e-03 9.055882e-03
## [1421] 9.207909e-03 9.362486e-03 9.519654e-03 9.679458e-03 9.841941e-03
## [1426] 1.000715e-02 1.017513e-02 1.034592e-02 1.051958e-02 1.069614e-02
## [1431] 1.087567e-02 1.105821e-02 1.124380e-02 1.143251e-02 1.162438e-02
## [1436] 1.181947e-02 1.201782e-02 1.221950e-02 1.242456e-02 1.263305e-02
## [1441] 1.284504e-02 1.306058e-02 1.327973e-02 1.350255e-02 1.372910e-02
## [1446] 1.395945e-02 1.419366e-02 1.443178e-02 1.467390e-02 1.492007e-02
## [1451] 1.517037e-02 1.542485e-02 1.568360e-02 1.594668e-02 1.621416e-02
## [1456] 1.648612e-02 1.676263e-02 1.704378e-02 1.732962e-02 1.762025e-02
## [1461] 1.791575e-02 1.821618e-02 1.852165e-02 1.883223e-02 1.914800e-02
## [1466] 1.946905e-02 1.979548e-02 2.012736e-02 2.046480e-02 2.080788e-02
## [1471] 2.115669e-02 2.151134e-02 2.187191e-02 2.223852e-02 2.261125e-02
## [1476] 2.299021e-02 2.337551e-02 2.376724e-02 2.416552e-02 2.457046e-02
## [1481] 2.498215e-02 2.540073e-02 2.582630e-02 2.625897e-02 2.669887e-02
## [1486] 2.714612e-02 2.760083e-02 2.806314e-02 2.853316e-02 2.901102e-02
## [1491] 2.949686e-02 2.999081e-02 3.049300e-02 3.100356e-02 3.152264e-02
## [1496] 3.205038e-02 3.258692e-02 3.313240e-02 3.368698e-02 3.425080e-02
## [1501] 3.482402e-02 3.540680e-02 3.599928e-02 3.660163e-02 3.721402e-02
## [1506] 3.783660e-02 3.846955e-02 3.911304e-02 3.976724e-02 4.043234e-02
## [1511] 4.110849e-02 4.179590e-02 4.249475e-02 4.320522e-02 4.392750e-02
## [1516] 4.466179e-02 4.540829e-02 4.616720e-02 4.693872e-02 4.772305e-02
## [1521] 4.852042e-02 4.933103e-02 5.015510e-02 5.099285e-02 5.184450e-02
## [1526] 5.271029e-02 5.359044e-02 5.448519e-02 5.539478e-02 5.631945e-02
## [1531] 5.725944e-02 5.821502e-02 5.918643e-02 6.017392e-02 6.117777e-02
## [1536] 6.219825e-02 6.323561e-02 6.429014e-02 6.536211e-02 6.645181e-02
## [1541] 6.755953e-02 6.868556e-02 6.983020e-02 7.099375e-02 7.217651e-02
## [1546] 7.337881e-02 7.460095e-02 7.584325e-02 7.710605e-02 7.838967e-02
## [1551] 7.969446e-02 8.102074e-02 8.236888e-02 8.373922e-02 8.513211e-02
## [1556] 8.654794e-02 8.798705e-02 8.944983e-02 9.093666e-02 9.244792e-02
## [1561] 9.398401e-02 9.554532e-02 9.713226e-02 9.874524e-02 1.003847e-01
## [1566] 1.020510e-01 1.037446e-01 1.054660e-01 1.072155e-01 1.089937e-01
## [1571] 1.108009e-01 1.126378e-01 1.145046e-01 1.164019e-01 1.183302e-01
## [1576] 1.202900e-01 1.222818e-01 1.243060e-01 1.263632e-01 1.284539e-01
## [1581] 1.305787e-01 1.327380e-01 1.349324e-01 1.371625e-01 1.394288e-01
## [1586] 1.417319e-01 1.440723e-01 1.464507e-01 1.488677e-01 1.513237e-01
## [1591] 1.538195e-01 1.563557e-01 1.589329e-01 1.615517e-01 1.642127e-01
## [1596] 1.669167e-01 1.696643e-01 1.724561e-01 1.752928e-01 1.781752e-01
## [1601] 1.811038e-01 1.840795e-01 1.871030e-01 1.901749e-01 1.932960e-01
## [1606] 1.964671e-01 1.996889e-01 2.029622e-01 2.062878e-01 2.096664e-01
## [1611] 2.130988e-01 2.165859e-01 2.201285e-01 2.237273e-01 2.273834e-01
## [1616] 2.310974e-01 2.348702e-01 2.387028e-01 2.425960e-01 2.465507e-01
## [1621] 2.505678e-01 2.546482e-01 2.587929e-01 2.630028e-01 2.672788e-01
## [1626] 2.716219e-01 2.760331e-01 2.805133e-01 2.850636e-01 2.896850e-01
## [1631] 2.943784e-01 2.991450e-01 3.039857e-01 3.089016e-01 3.138937e-01
## [1636] 3.189632e-01 3.241111e-01 3.293386e-01 3.346467e-01 3.400365e-01
## [1641] 3.455093e-01 3.510660e-01 3.567080e-01 3.624364e-01 3.682522e-01
## [1646] 3.741568e-01 3.801514e-01 3.862371e-01 3.924151e-01 3.986868e-01
## [1651] 4.050533e-01 4.115160e-01 4.180760e-01 4.247346e-01 4.314932e-01
## [1656] 4.383531e-01 4.453155e-01 4.523817e-01 4.595532e-01 4.668312e-01
## [1661] 4.742171e-01 4.817122e-01 4.893179e-01 4.970356e-01 5.048667e-01
## [1666] 5.128125e-01 5.208745e-01 5.290540e-01 5.373525e-01 5.457714e-01
## [1671] 5.543121e-01 5.629760e-01 5.717647e-01 5.806794e-01 5.897218e-01
## [1676] 5.988932e-01 6.081951e-01 6.176289e-01 6.271961e-01 6.368983e-01
## [1681] 6.467368e-01 6.567131e-01 6.668287e-01 6.770851e-01 6.874837e-01
## [1686] 6.980260e-01 7.087134e-01 7.195476e-01 7.305298e-01 7.416615e-01
## [1691] 7.529443e-01 7.643796e-01 7.759687e-01 7.877132e-01 7.996144e-01
## [1696] 8.116738e-01 8.238928e-01 8.362728e-01 8.488151e-01 8.615212e-01
## [1701] 8.743923e-01 8.874299e-01 9.006352e-01 9.140096e-01 9.275544e-01
## [1706] 9.412707e-01 9.551600e-01 9.692233e-01 9.834619e-01 9.978769e-01
## [1711] 1.012470e+00 1.027241e+00 1.042192e+00 1.057324e+00 1.072638e+00
## [1716] 1.088135e+00 1.103816e+00 1.119681e+00 1.135733e+00 1.151970e+00
## [1721] 1.168395e+00 1.185008e+00 1.201810e+00 1.218801e+00 1.235982e+00
## [1726] 1.253354e+00 1.270917e+00 1.288671e+00 1.306617e+00 1.324755e+00
## [1731] 1.343086e+00 1.361610e+00 1.380326e+00 1.399235e+00 1.418337e+00
## [1736] 1.437632e+00 1.457120e+00 1.476800e+00 1.496672e+00 1.516736e+00
## [1741] 1.536991e+00 1.557437e+00 1.578073e+00 1.598898e+00 1.619912e+00
## [1746] 1.641113e+00 1.662501e+00 1.684074e+00 1.705831e+00 1.727771e+00
## [1751] 1.749893e+00 1.772195e+00 1.794674e+00 1.817330e+00 1.840161e+00
## [1756] 1.863164e+00 1.886338e+00 1.909679e+00 1.933187e+00 1.956858e+00
## [1761] 1.980689e+00 2.004678e+00 2.028822e+00 2.053118e+00 2.077563e+00
## [1766] 2.102154e+00 2.126886e+00 2.151757e+00 2.176762e+00 2.201899e+00
## [1771] 2.227162e+00 2.252548e+00 2.278052e+00 2.303669e+00 2.329397e+00
## [1776] 2.355228e+00 2.381159e+00 2.407184e+00 2.433299e+00 2.459498e+00
## [1781] 2.485774e+00 2.512123e+00 2.538539e+00 2.565016e+00 2.591547e+00
## [1786] 2.618127e+00 2.644748e+00 2.671405e+00 2.698090e+00 2.724796e+00
## [1791] 2.751517e+00 2.778245e+00 2.804973e+00 2.831693e+00 2.858398e+00
## [1796] 2.885080e+00 2.911731e+00 2.938343e+00 2.964907e+00 2.991417e+00
## [1801] 3.017862e+00 3.044235e+00 3.070526e+00 3.096728e+00 3.122831e+00
## [1806] 3.148827e+00 3.174705e+00 3.200457e+00 3.226075e+00 3.251547e+00
## [1811] 3.276866e+00 3.302020e+00 3.327002e+00 3.351801e+00 3.376408e+00
## [1816] 3.400812e+00 3.425005e+00 3.448976e+00 3.472716e+00 3.496214e+00
## [1821] 3.519461e+00 3.542447e+00 3.565162e+00 3.587596e+00 3.609740e+00
## [1826] 3.631583e+00 3.653117e+00 3.674330e+00 3.695215e+00 3.715760e+00
## [1831] 3.735956e+00 3.755795e+00 3.775267e+00 3.794362e+00 3.813071e+00
## [1836] 3.831385e+00 3.849296e+00 3.866794e+00 3.883871e+00 3.900519e+00
## [1841] 3.916729e+00 3.932492e+00 3.947802e+00 3.962649e+00 3.977027e+00
## [1846] 3.990929e+00 4.004346e+00 4.017272e+00 4.029700e+00 4.041623e+00
## [1851] 4.053036e+00 4.063932e+00 4.074305e+00 4.084150e+00 4.093462e+00
## [1856] 4.102235e+00 4.110464e+00 4.118146e+00 4.125276e+00 4.131850e+00
## [1861] 4.137865e+00 4.143317e+00 4.148203e+00 4.152521e+00 4.156267e+00
## [1866] 4.159441e+00 4.162040e+00 4.164064e+00 4.165509e+00 4.166377e+00
## [1871] 4.166667e+00 4.166377e+00 4.165509e+00 4.164064e+00 4.162040e+00
## [1876] 4.159441e+00 4.156267e+00 4.152521e+00 4.148203e+00 4.143317e+00
## [1881] 4.137865e+00 4.131850e+00 4.125276e+00 4.118146e+00 4.110464e+00
## [1886] 4.102235e+00 4.093462e+00 4.084150e+00 4.074305e+00 4.063932e+00
## [1891] 4.053036e+00 4.041623e+00 4.029700e+00 4.017272e+00 4.004346e+00
## [1896] 3.990929e+00 3.977027e+00 3.962649e+00 3.947802e+00 3.932492e+00
## [1901] 3.916729e+00 3.900519e+00 3.883871e+00 3.866794e+00 3.849296e+00
## [1906] 3.831385e+00 3.813071e+00 3.794362e+00 3.775267e+00 3.755795e+00
## [1911] 3.735956e+00 3.715760e+00 3.695215e+00 3.674330e+00 3.653117e+00
## [1916] 3.631583e+00 3.609740e+00 3.587596e+00 3.565162e+00 3.542447e+00
## [1921] 3.519461e+00 3.496214e+00 3.472716e+00 3.448976e+00 3.425005e+00
## [1926] 3.400812e+00 3.376408e+00 3.351801e+00 3.327002e+00 3.302020e+00
## [1931] 3.276866e+00 3.251547e+00 3.226075e+00 3.200457e+00 3.174705e+00
## [1936] 3.148827e+00 3.122831e+00 3.096728e+00 3.070526e+00 3.044235e+00
## [1941] 3.017862e+00 2.991417e+00 2.964907e+00 2.938343e+00 2.911731e+00
## [1946] 2.885080e+00 2.858398e+00 2.831693e+00 2.804973e+00 2.778245e+00
## [1951] 2.751517e+00 2.724796e+00 2.698090e+00 2.671405e+00 2.644748e+00
## [1956] 2.618127e+00 2.591547e+00 2.565016e+00 2.538539e+00 2.512123e+00
## [1961] 2.485774e+00 2.459498e+00 2.433299e+00 2.407184e+00 2.381159e+00
## [1966] 2.355228e+00 2.329397e+00 2.303669e+00 2.278052e+00 2.252548e+00
## [1971] 2.227162e+00 2.201899e+00 2.176762e+00 2.151757e+00 2.126886e+00
## [1976] 2.102154e+00 2.077563e+00 2.053118e+00 2.028822e+00 2.004678e+00
## [1981] 1.980689e+00 1.956858e+00 1.933187e+00 1.909679e+00 1.886338e+00
## [1986] 1.863164e+00 1.840161e+00 1.817330e+00 1.794674e+00 1.772195e+00
## [1991] 1.749893e+00 1.727771e+00 1.705831e+00 1.684074e+00 1.662501e+00
## [1996] 1.641113e+00 1.619912e+00 1.598898e+00 1.578073e+00 1.557437e+00
## [2001] 1.536991e+00jp2## [1] 0.55863371 0.56735989 0.57621148 0.58518992 0.59429667 0.60353319
## [7] 0.61290092 0.62240134 0.63203592 0.64180611 0.65171338 0.66175922
## [13] 0.67194508 0.68227244 0.69274278 0.70335755 0.71411822 0.72502626
## [19] 0.73608314 0.74729029 0.75864918 0.77016125 0.78182794 0.79365068
## [25] 0.80563088 0.81776996 0.83006933 0.84253036 0.85515445 0.86794294
## [31] 0.88089720 0.89401854 0.90730830 0.92076776 0.93439821 0.94820090
## [37] 0.96217706 0.97632792 0.99065465 1.00515842 1.01984036 1.03470158
## [43] 1.04974315 1.06496612 1.08037149 1.09596023 1.11173330 1.12769157
## [49] 1.14383592 1.16016716 1.17668607 1.19339336 1.21028973 1.22737581
## [55] 1.24465217 1.26211934 1.27977780 1.29762796 1.31567019 1.33390477
## [61] 1.35233194 1.37095187 1.38976466 1.40877034 1.42796888 1.44736015
## [67] 1.46694398 1.48672009 1.50668813 1.52684767 1.54719820 1.56773912
## [73] 1.58846972 1.60938924 1.63049678 1.65179137 1.67327194 1.69493731
## [79] 1.71678620 1.73881723 1.76102890 1.78341961 1.80598765 1.82873117
## [85] 1.85164823 1.87473677 1.89799459 1.92141937 1.94500869 1.96875996
## [91] 1.99267049 2.01673745 2.04095788 2.06532867 2.08984659 2.11450826
## [97] 2.13931016 2.16424863 2.18931987 2.21451993 2.23984470 2.26528994
## [103] 2.29085125 2.31652410 2.34230378 2.36818544 2.39416408 2.42023455
## [109] 2.44639153 2.47262956 2.49894303 2.52532616 2.55177302 2.57827753
## [115] 2.60483347 2.63143443 2.65807388 2.68474513 2.71144135 2.73815553
## [121] 2.76488054 2.79160910 2.81833378 2.84504701 2.87174108 2.89840816
## [127] 2.92504026 2.95162926 2.97816693 3.00464491 3.03105471 3.05738772
## [133] 3.08363523 3.10978841 3.13583832 3.16177595 3.18759214 3.21327769
## [139] 3.23882330 3.26421956 3.28945703 3.31452617 3.33941740 3.36412107
## [145] 3.38862747 3.41292687 3.43700949 3.46086552 3.48448514 3.50785851
## [151] 3.53097577 3.55382707 3.57640258 3.59869246 3.62068692 3.64237619
## [157] 3.66375053 3.68480029 3.70551582 3.72588758 3.74590609 3.76556196
## [163] 3.78484587 3.80374863 3.82226114 3.84037443 3.85807965 3.87536809
## [169] 3.89223119 3.90866053 3.92464785 3.94018508 3.95526432 3.96987784
## [175] 3.98401813 3.99767787 4.01084994 4.02352747 4.03570378 4.04737246
## [181] 4.05852729 4.06916236 4.07927196 4.08885066 4.09789331 4.10639501
## [187] 4.11435115 4.12175741 4.12860973 4.13490437 4.14063787 4.14580709
## [193] 4.15040918 4.15444159 4.15790211 4.16078880 4.16310009 4.16483467
## [199] 4.16599160 4.16657022 4.16657022 4.16599160 4.16483467 4.16310009
## [205] 4.16078880 4.15790211 4.15444159 4.15040918 4.14580709 4.14063787
## [211] 4.13490437 4.12860973 4.12175741 4.11435115 4.10639501 4.09789331
## [217] 4.08885066 4.07927196 4.06916236 4.05852729 4.04737246 4.03570378
## [223] 4.02352747 4.01084994 3.99767787 3.98401813 3.96987784 3.95526432
## [229] 3.94018508 3.92464785 3.90866053 3.89223119 3.87536809 3.85807965
## [235] 3.84037443 3.82226114 3.80374863 3.78484587 3.76556196 3.74590609
## [241] 3.72588758 3.70551582 3.68480029 3.66375053 3.64237619 3.62068692
## [247] 3.59869246 3.57640258 3.55382707 3.53097577 3.50785851 3.48448514
## [253] 3.46086552 3.43700949 3.41292687 3.38862747 3.36412107 3.33941740
## [259] 3.31452617 3.28945703 3.26421956 3.23882330 3.21327769 3.18759214
## [265] 3.16177595 3.13583832 3.10978841 3.08363523 3.05738772 3.03105471
## [271] 3.00464491 2.97816693 2.95162926 2.92504026 2.89840816 2.87174108
## [277] 2.84504701 2.81833378 2.79160910 2.76488054 2.73815553 2.71144135
## [283] 2.68474513 2.65807388 2.63143443 2.60483347 2.57827753 2.55177302
## [289] 2.52532616 2.49894303 2.47262956 2.44639153 2.42023455 2.39416408
## [295] 2.36818544 2.34230378 2.31652410 2.29085125 2.26528994 2.23984470
## [301] 2.21451993 2.18931987 2.16424863 2.13931016 2.11450826 2.08984659
## [307] 2.06532867 2.04095788 2.01673745 1.99267049 1.96875996 1.94500869
## [313] 1.92141937 1.89799459 1.87473677 1.85164823 1.82873117 1.80598765
## [319] 1.78341961 1.76102890 1.73881723 1.71678620 1.69493731 1.67327194
## [325] 1.65179137 1.63049678 1.60938924 1.58846972 1.56773912 1.54719820
## [331] 1.52684767 1.50668813 1.48672009 1.46694398 1.44736015 1.42796888
## [337] 1.40877034 1.38976466 1.37095187 1.35233194 1.33390477 1.31567019
## [343] 1.29762796 1.27977780 1.26211934 1.24465217 1.22737581 1.21028973
## [349] 1.19339336 1.17668607 1.16016716 1.14383592 1.12769157 1.11173330
## [355] 1.09596023 1.08037149 1.06496612 1.04974315 1.03470158 1.01984036
## [361] 1.00515842 0.99065465 0.97632792 0.96217706 0.94820090 0.93439821
## [367] 0.92076776 0.90730830 0.89401854 0.88089720 0.86794294 0.85515445
## [373] 0.84253036 0.83006933 0.81776996 0.80563088 0.79365068 0.78182794
## [379] 0.77016125 0.75864918 0.74729029 0.73608314 0.72502626 0.71411822
## [385] 0.70335755 0.69274278 0.68227244 0.67194508 0.66175922 0.65171338
## [391] 0.64180611 0.63203592 0.62240134 0.61290092 0.60353319 0.59429667
## [397] 0.58518992 0.57621148 0.56735989 0.55863372 0.55003151 0.54155183
## [403] 0.53319326 0.52495437 0.51683374 0.50882996 0.50094164 0.49316737
## [409] 0.48550577 0.47795546 0.47051508 0.46318325 0.45595864 0.44883989
## [415] 0.44182567 0.43491466 0.42810554 0.42139702 0.41478779 0.40827658
## [421] 0.40186211 0.39554312 0.38931836 0.38318658 0.37714657 0.37119709
## [427] 0.36533695 0.35956494 0.35387988 0.34828060 0.34276594 0.33733474
## [433] 0.33198586 0.32671819 0.32153059 0.31642197 0.31139124 0.30643730
## [439] 0.30155910 0.29675557 0.29202567 0.28736836 0.28278262 0.27826743
## [445] 0.27382179 0.26944472 0.26513524 0.26089238 0.25671518 0.25260270
## [451] 0.24855401 0.24456818 0.24064431 0.23678150 0.23297885 0.22923549
## [457] 0.22555055 0.22192318 0.21835253 0.21483777 0.21137807 0.20797262
## [463] 0.20462061 0.20132126 0.19807377 0.19487739 0.19173134 0.18863487
## [469] 0.18558725 0.18258773 0.17963560 0.17673014 0.17387066 0.17105644
## [475] 0.16828682 0.16556111 0.16287865 0.16023878 0.15764086 0.15508424
## [481] 0.15256829 0.15009240 0.14765595 0.14525833 0.14289896 0.14057724
## [487] 0.13829259 0.13604444 0.13383224 0.13165541 0.12951343 0.12740575
## [493] 0.12533183 0.12329116 0.12128322 0.11930749 0.11736349 0.11545070
## [499] 1.11813634 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [505] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [511] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [517] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [523] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [529] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [535] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [541] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [547] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [553] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [559] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [565] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [571] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [577] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [583] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [589] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [595] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [601] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [607] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [613] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [619] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [625] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [631] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [637] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [643] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [649] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [655] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [661] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [667] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [673] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [679] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [685] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [691] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [697] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [703] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [709] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [715] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [721] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [727] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [733] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [739] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [745] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [751] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [757] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [763] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [769] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [775] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [781] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [787] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [793] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [799] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [805] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [811] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [817] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [823] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [829] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [835] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [841] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [847] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [853] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [859] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [865] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [871] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [877] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [883] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [889] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [895] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [901] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [907] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [913] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [919] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [925] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [931] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [937] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [943] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [949] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [955] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [961] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [967] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [973] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [979] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [985] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [991] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [997] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1003] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1009] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1015] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1021] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1027] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1033] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1039] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1045] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1051] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1057] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1063] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1069] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1075] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1081] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1087] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1093] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1099] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1105] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1111] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1117] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1123] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1129] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1135] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1141] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1147] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1153] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1159] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1165] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1171] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1177] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1183] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1189] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1195] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1201] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1207] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1213] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1219] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1225] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1231] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1237] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1243] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1249] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1255] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1261] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1267] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1273] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1279] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1285] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1291] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1297] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1303] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1309] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1315] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1321] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1327] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1333] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1339] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1345] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1351] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1357] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1363] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1369] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1375] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1381] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1387] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1393] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1399] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1405] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1411] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1417] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1423] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1429] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1435] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1441] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1447] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1453] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1459] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1465] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1471] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1477] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1483] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1489] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000
## [1495] 0.10787000 0.10787000 0.10787000 0.10787000 0.10787000 0.02382473
## [1501] 0.03511461 0.03570222 0.03629962 0.03690698 0.03752445 0.03815220
## [1507] 0.03879041 0.03943924 0.04009887 0.04076948 0.04145125 0.04214436
## [1513] 0.04284900 0.04356536 0.04429364 0.04503402 0.04578670 0.04655190
## [1519] 0.04732981 0.04812064 0.04892461 0.04974193 0.05057282 0.05141750
## [1525] 0.05227621 0.05314916 0.05403659 0.05493874 0.05585584 0.05678816
## [1531] 0.05773592 0.05869939 0.05967882 0.06067448 0.06168661 0.06271551
## [1537] 0.06376143 0.06482466 0.06590547 0.06700416 0.06812101 0.06925632
## [1543] 0.07041039 0.07158352 0.07277602 0.07398821 0.07522041 0.07647293
## [1549] 0.07774611 0.07904029 0.08035579 0.08169298 0.08305218 0.08443377
## [1555] 0.08583810 0.08726554 0.08871645 0.09019123 0.09169024 0.09321388
## [1561] 0.09476255 0.09633664 0.09793656 0.09956274 0.10121557 0.10289550
## [1567] 0.10460295 0.10633837 0.10810219 0.10989487 0.11171687 0.11356866
## [1573] 0.11545070 0.11736349 0.11930749 0.12128322 0.12329116 0.12533183
## [1579] 0.12740575 0.12951343 0.13165541 0.13383224 0.13604444 0.13829259
## [1585] 0.14057724 0.14289896 0.14525833 0.14765595 0.15009240 0.15256829
## [1591] 0.15508424 0.15764086 0.16023878 0.16287865 0.16556111 0.16828682
## [1597] 0.17105644 0.17387066 0.17673014 0.17963560 0.18258773 0.18558725
## [1603] 0.18863487 0.19173134 0.19487739 0.19807377 0.20132126 0.20462061
## [1609] 0.20797262 0.21137807 0.21483777 0.21835253 0.22192318 0.22555055
## [1615] 0.22923549 0.23297885 0.23678150 0.24064431 0.24456818 0.24855401
## [1621] 0.25260270 0.25671518 0.26089238 0.26513524 0.26944472 0.27382179
## [1627] 0.27826743 0.28278262 0.28736836 0.29202567 0.29675557 0.30155910
## [1633] 0.30643730 0.31139124 0.31642197 0.32153059 0.32671819 0.33198586
## [1639] 0.33733474 0.34276594 0.34828060 0.35387988 0.35956494 0.36533695
## [1645] 0.37119709 0.37714657 0.38318658 0.38931836 0.39554312 0.40186211
## [1651] 0.40827658 0.41478779 0.42139702 0.42810554 0.43491466 0.44182567
## [1657] 0.44883989 0.45595864 0.46318325 0.47051508 0.47795546 0.48550577
## [1663] 0.49316737 0.50094164 0.50882996 0.51683374 0.52495437 0.53319326
## [1669] 0.54155183 0.55003151 0.55863372 0.56735989 0.57621148 0.58518992
## [1675] 0.59429667 0.60353319 0.61290092 0.62240134 0.63203592 0.64180611
## [1681] 0.65171338 0.66175922 0.67194508 0.68227244 0.69274278 0.70335755
## [1687] 0.71411822 0.72502626 0.73608314 0.74729029 0.75864918 0.77016125
## [1693] 0.78182794 0.79365068 0.80563088 0.81776996 0.83006933 0.84253036
## [1699] 0.85515445 0.86794294 0.88089720 0.89401854 0.90730830 0.92076776
## [1705] 0.93439821 0.94820090 0.96217706 0.97632792 0.99065465 1.00515842
## [1711] 1.01984036 1.03470158 1.04974315 1.06496612 1.08037149 1.09596023
## [1717] 1.11173330 1.12769157 1.14383592 1.16016716 1.17668607 1.19339336
## [1723] 1.21028973 1.22737581 1.24465217 1.26211934 1.27977780 1.29762796
## [1729] 1.31567019 1.33390477 1.35233194 1.37095187 1.38976466 1.40877034
## [1735] 1.42796888 1.44736015 1.46694398 1.48672009 1.50668813 1.52684767
## [1741] 1.54719820 1.56773912 1.58846972 1.60938924 1.63049678 1.65179137
## [1747] 1.67327194 1.69493731 1.71678620 1.73881723 1.76102890 1.78341961
## [1753] 1.80598765 1.82873117 1.85164823 1.87473677 1.89799459 1.92141937
## [1759] 1.94500869 1.96875996 1.99267049 2.01673745 2.04095788 2.06532867
## [1765] 2.08984659 2.11450826 2.13931016 2.16424863 2.18931987 2.21451993
## [1771] 2.23984470 2.26528994 2.29085125 2.31652410 2.34230378 2.36818544
## [1777] 2.39416408 2.42023455 2.44639153 2.47262956 2.49894303 2.52532616
## [1783] 2.55177302 2.57827753 2.60483347 2.63143443 2.65807388 2.68474513
## [1789] 2.71144135 2.73815553 2.76488054 2.79160910 2.81833378 2.84504701
## [1795] 2.87174108 2.89840816 2.92504026 2.95162926 2.97816693 3.00464491
## [1801] 3.03105471 3.05738772 3.08363523 3.10978841 3.13583832 3.16177595
## [1807] 3.18759214 3.21327769 3.23882330 3.26421956 3.28945703 3.31452617
## [1813] 3.33941740 3.36412107 3.38862747 3.41292687 3.43700949 3.46086552
## [1819] 3.48448514 3.50785851 3.53097577 3.55382707 3.57640258 3.59869246
## [1825] 3.62068692 3.64237619 3.66375053 3.68480029 3.70551582 3.72588758
## [1831] 3.74590609 3.76556196 3.78484587 3.80374863 3.82226114 3.84037443
## [1837] 3.85807965 3.87536809 3.89223119 3.90866053 3.92464785 3.94018508
## [1843] 3.95526432 3.96987784 3.98401813 3.99767787 4.01084994 4.02352747
## [1849] 4.03570378 4.04737246 4.05852729 4.06916236 4.07927196 4.08885066
## [1855] 4.09789331 4.10639501 4.11435115 4.12175741 4.12860973 4.13490437
## [1861] 4.14063787 4.14580709 4.15040918 4.15444159 4.15790211 4.16078880
## [1867] 4.16310009 4.16483467 4.16599160 4.16657022 4.16657022 4.16599160
## [1873] 4.16483467 4.16310009 4.16078880 4.15790211 4.15444159 4.15040918
## [1879] 4.14580709 4.14063787 4.13490437 4.12860973 4.12175741 4.11435115
## [1885] 4.10639501 4.09789331 4.08885066 4.07927196 4.06916236 4.05852729
## [1891] 4.04737246 4.03570378 4.02352747 4.01084994 3.99767787 3.98401813
## [1897] 3.96987784 3.95526432 3.94018508 3.92464785 3.90866053 3.89223119
## [1903] 3.87536809 3.85807965 3.84037443 3.82226114 3.80374863 3.78484587
## [1909] 3.76556196 3.74590609 3.72588758 3.70551582 3.68480029 3.66375053
## [1915] 3.64237619 3.62068692 3.59869246 3.57640258 3.55382707 3.53097577
## [1921] 3.50785851 3.48448514 3.46086552 3.43700949 3.41292687 3.38862747
## [1927] 3.36412107 3.33941740 3.31452617 3.28945703 3.26421956 3.23882330
## [1933] 3.21327769 3.18759214 3.16177595 3.13583832 3.10978841 3.08363523
## [1939] 3.05738772 3.03105471 3.00464491 2.97816693 2.95162926 2.92504026
## [1945] 2.89840816 2.87174108 2.84504701 2.81833378 2.79160910 2.76488054
## [1951] 2.73815553 2.71144135 2.68474513 2.65807388 2.63143443 2.60483347
## [1957] 2.57827753 2.55177302 2.52532616 2.49894303 2.47262956 2.44639153
## [1963] 2.42023455 2.39416408 2.36818544 2.34230378 2.31652410 2.29085125
## [1969] 2.26528994 2.23984470 2.21451993 2.18931987 2.16424863 2.13931016
## [1975] 2.11450826 2.08984659 2.06532867 2.04095788 2.01673745 1.99267049
## [1981] 1.96875996 1.94500869 1.92141937 1.89799459 1.87473677 1.85164823
## [1987] 1.82873117 1.80598765 1.78341961 1.76102890 1.73881723 1.71678620
## [1993] 1.69493731 1.67327194 1.65179137 1.63049678 1.60938924 1.58846972
## [1999] 1.56773912 1.54719820 0.00000000
3.Comments on Niclewis code
My comments in orange.
Create required functions: for calibration curve; one-sided coverage calculation; coverage plotting; and calcualtion of percentage points
the calibration curve is constructed with 3 sigmoids. This is a bit contrived as 3 line segments would do , but sigmoids have an easy analytical derivation. The curve has a bend in the middle which does not serve the discussion
f_obs is the “measurement” or experimentally obtained PDF which is painted the orangered1 curve on the ordinal in the plot. the factor 50000 is just a plotting factor to make visible. I do not see the need to have that complicated formula for the sd. That is a bug.
lhood: contrived name to fit bayesian philosophising. its content is the calendar age probability expressed/retrieved from the measurement PDF without taking probability dispersion into account. Nobody is using it standalone, although it was discussed a lot as being Keenans solution which it isnt. It certainly doesnt need to be normalised like a density. That is a bug.
JP this vector is the so called jeffreys prior in Bayesian philosophising. It is the derivative of the calibration curve. It certainly doesnt need normalising like a density because it is not a density. This vector allows for dispersion of the probability when the measurement PDF is mapped across the calibration curve. JP is a measure of compression or expansion of the probability as ou map.
ob.post is the posterior PDF in Bayesian terminology. It is the mapped PDF according to the calibration curve, of the measurement PDF.It is Keenans solution as well.
The plot reversed the direction of the abscis, the calendar age. this was done with the plot command parameter xlim
xlim=c(2000,0) reverse time direction
xlim=c(0,2000) normal time direction