(\begin{tabular}{|c|ccccc|cc|}
(\hline
( len1&gap &  dl  &  rad  &  dr   &  I/A & n I & n I l\\ 
(  m  &    m  &   m   &   m  & m &  A/mm$^2$ & A & A m \\ 
(\hline
( 0.000 & 0.000 &  2.000 &  0.330 &  0.025 & %-100.00 &  5.00 & 10.76  \\
( 2.000 & 0.000 &  2.000 &  0.330 &  0.025 & %-100.00 &  5.00 & 10.76  \\
( 4.000 & 0.000 &  2.000 &  0.330 &  0.025 & %-100.00 &  5.00 & 10.76  \\
( 6.330 & 0.330 &  0.167 &  0.330 &  0.175 & -39.11 &  1.14 &  3.00  \\
( 7.365 & 0.868 &  0.330 &  0.770 &  0.080 & -89.39 &  2.36 & 12.01  \\
( 8.563 & 0.868 &  0.167 &  0.330 &  0.175 & -75.96 &  2.22 &  5.82  \\
( 9.080 & 0.175 &  0.167 &  0.330 &  0.175 &  75.96 &  2.22 &  5.82  \\
(10.115 & 0.868 &  0.330 &  0.770 &  0.080 &  89.39 &  2.36 & 12.01  \\
(11.313 & 0.868 &  0.167 &  0.330 &  0.175 &  39.11 &  1.14 &  3.00  \\
(11.810 & 0.330 &  2.000 &  0.330 &  0.025 & 100.00 &  5.00 & 10.76  \\
(13.810 & 0.000 &  2.000 &  0.330 &  0.025 & 100.00 &  5.00 & 10.76  \\
(15.810 & 0.000 &  2.000 &  0.330 &  0.025 & 100.00 &  5.00 & 10.76  \\
(\hline
(\end{tabular}
(amp turns   41.446   (MA)
(amp turns length   106.2254   (MA m)
(cell length   17.81   (m)
set symbol 0O
set limits y from 0 to  85 
set limits x from -.001  to  9.5 
title left 'radii   (cm \rr rms \bb max\bw )'
title bottom 'length   (m)'
set color black
TITLE  .8429999  34.25  data '-99 '
-.1570001  35.5 
 1.843  35.5 
 1.843  33 
-.1570001  33 
-.1570001  35.5 
join 1
set color black
TITLE  2.2565  41.75  data '-39 '
 2.173  50.5 
 2.34  50.5 
 2.34  33 
 2.173  33 
 2.173  50.5 
join 1
set color black
TITLE  3.373  81  data '-89 '
 3.208  85 
 3.538  85 
 3.538  77 
 3.208  77 
 3.208  85 
join 1
set color black
TITLE  4.4895  41.75  data '-75 '
 4.406  50.5 
 4.572999  50.5 
 4.572999  33 
 4.406  33 
 4.406  50.5 
join 1
set color black
TITLE  5.006501  41.75  data ' 75 '
 4.923001  50.5 
 5.090001  50.5 
 5.090001  33 
 4.923001  33 
 4.923001  50.5 
join 1
set color black
TITLE  6.123001  81  data ' 89 '
 5.958001  85 
 6.288001  85 
 6.288001  77 
 5.958001  77 
 5.958001  85 
join 1
set color black
TITLE  7.239501  41.75  data ' 39 '
 7.156001  50.5 
 7.323  50.5 
 7.323  33 
 7.156001  33 
 7.156001  50.5 
join 1
set color black
TITLE  8.653  34.25  data ' 99 '
 7.653  35.5 
 9.653  35.5 
 9.653  33 
 7.653  33 
 7.653  35.5 
join 1
set color red
 2.375  0 
 2.375  65 
 2.875  65 
 2.875  0 
join 1
set color red
 2.875  0 
 2.875  65 
 3.375  65 
 3.375  0 
join 1
set color red
 3.375  0 
 3.375  65 
 3.875  65 
 3.875  0 
join 1
set color red
 3.875  0 
 3.875  65 
 4.375  65 
 4.375  0 
join 1
set color blue
 4.575  0 
 4.575  20 
 4.925  20 
 4.925  0 
join 1
set color red
 5.125  0 
 5.125  65 
 5.625  65 
 5.625  0 
join 1
set color red
 5.625  0 
 5.625  65 
 6.125  65 
 6.125  0 
join 1
set color red
 6.125  0 
 6.125  65 
 6.625  65 
 6.625  0 
join 1
set color red
 6.625  0 
 6.625  65 
 7.125  65 
 7.125  0 
join 1

set color red
 .000001  6.124519 
 .1  6.129236 
 .2  6.130946 
 .3  6.129093 
 .4  6.123879 
 .5  6.11623 
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join  
set color blue
 .000001  14.78223 
 .1  14.66039 
 .2  14.75824 
 .3  14.46227 
 .4  14.62343 
 .5  14.63763 
 .6  14.40465 
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 9.2004  15.17299 
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 9.4004  14.06069 
 9.5004  13.58978 
join 
new frame
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
set limits y from -5  to  5 
set limits x from 0 to  9.5004 
title bottom 'len  (m)'
title left 'axial and dipole B (T)'
 0  0 
 9.5004  0 
join
set color red
 .000001 -3.1391 
 .1 -3.1397 
 .2 -3.1403 
 .3 -3.1408 
 .4 -3.1411 
 .5 -3.1413 
 .6 -3.1413 
 .7 -3.1407 
 .8 -3.1394 
 .9 -3.1369 
 1 -3.1325 
 1.1 -3.1248 
 1.2 -3.1115 
 1.3 -3.0889 
 1.4 -3.0499 
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 2 -2.2104 
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 2.9069 -1.542 
 3.3743 -1.9518 
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 4.3091 -2.5311 
 4.5746 -2.146 
 4.75  .027837 
 4.925  2.1792 
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 7.9004  2.8757 
 8.0004  2.9868 
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 9.0004  3.1417 
 9.1004  3.1415 
 9.2004  3.1411 
 9.3004  3.1406 
 9.4004  3.14 
 9.5004  3.1394 
join 1 
new frame
set color black
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'n/n =  4853  /  4853  ' 
title left 'rms momentum (\%)'
title bottom 'length (m)'
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
set limits y from  0   to  15 
set limits x from 0 to  9.5004 
set color red
set symbol 1O
 .000001  5.859546 
 .1  5.860284 
 .2  5.859811 
 .3  5.860256 
 .4  5.8599 
 .5  5.859223 
 .6  5.859497 
 .7  5.859319 
 .8  5.857321 
 .9  5.859581 
 1  5.860881 
 1.1  5.85995 
 1.2  5.858862 
 1.3  5.859231 
 1.4  5.859984 
 1.5  5.859649 
 1.6  5.859848 
 1.7  5.860463 
 1.8  5.860532 
 1.9  5.862112 
 2  5.857664 
 2.1754  5.960255 
 2.4405  5.960623 
 2.9069  5.778614 
 3.3743  5.701263 
 3.8417  5.727032 
 4.3091  5.860323 
 4.5746  5.86412 
 4.75  5.837402 
 4.925  5.940087 
 5.1905  5.940901 
 5.6569  5.992748 
 6.1243  6.133683 
 6.5917  6.351969 
 7.0591  6.646102 
 7.3246  6.648734 
 7.5  6.744736 
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 9.0004  6.746832 
 9.1004  6.746819 
 9.2004  6.747579 
 9.3004  6.747089 
 9.4004  6.746295 
 9.5004  6.745904 
join
set color blue
 .000001  7.67284 
 .1  7.673545 
 .2  7.673357 
 .3  7.67289 
 .4  7.674011 
 .5  7.672959 
 .6  7.673484 
 .7  7.673336 
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 1  7.673116 
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 2  7.675112 
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 9.1004  8.121885 
 9.2004  8.121535 
 9.3004  8.122283 
 9.4004  8.123378 
 9.5004  8.123182 
join
new frame
set color black
title left 'rms ct (cm)'
title bottom 'length (cm)'
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
set limits y from  0   to  20 
set limits x from 0 to  9.5004 
set color red
 .000001  10.82279 
 .1  10.73586 
 .2  10.65218 
 .3  10.57181 
 .4  10.49486 
 .5  10.4214 
 .6  10.3515 
 .7  10.28526 
 .8  10.22275 
 .9  10.16405 
 1  10.10925 
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 2  9.815042 
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 8.0004  9.227202 
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 9.0004  9.520188 
 9.1004  9.572719 
 9.2004  9.629213 
 9.3004  9.689585 
 9.4004  9.753761 
 9.5004  9.821679 
join 1  
new frame
set color black
title left 'ct (cm  min ave max)'
title bottom 'length (m)'
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
set symbol 0O
 .000001  .8084939 
set symbol 1O
 .000001  38.982 
 .000001 -30.48899 
set symbol 0O
 .1  .8653406 
set symbol 1O
 .1  38.93688 
 .1 -29.74226 
set symbol 0O
 .2  .9222289 
set symbol 1O
 .2  38.89177 
 .2 -29.3695 
set symbol 0O
 .3  .9791563 
set symbol 1O
 .3  38.84666 
 .3 -29.16798 
set symbol 0O
 .4  1.036107 
set symbol 1O
 .4  38.80154 
 .4 -28.96641 
set symbol 0O
 .5  1.093081 
set symbol 1O
 .5  38.75645 
 .5 -28.76479 
set symbol 0O
 .6  1.150059 
set symbol 1O
 .6  38.71135 
 .6 -28.56316 
set symbol 0O
 .7  1.207026 
set symbol 1O
 .7  38.66626 
 .7 -28.36158 
set symbol 0O
 .8  1.263929 
set symbol 1O
 .8  38.62111 
 .8 -28.1602 
set symbol 0O
 .9  1.320705 
set symbol 1O
 .9  38.57589 
 .9 -27.95928 
set symbol 0O
 1  1.377261 
set symbol 1O
 1  38.53059 
 1 -27.75922 
set symbol 0O
 1.1  1.433446 
set symbol 1O
 1.1  38.55536 
 1.1 -27.56075 
set symbol 0O
 1.2  1.488936 
set symbol 1O
 1.2  38.61103 
 1.2 -27.36499 
set symbol 0O
 1.3  1.5433 
set symbol 1O
 1.3  38.66361 
 1.3 -27.17353 
set symbol 0O
 1.4  1.59569 
set symbol 1O
 1.4  38.71187 
 1.4 -26.98884 
set symbol 0O
 1.5  1.644718 
set symbol 1O
 1.5  38.75426 
 1.5 -26.81441 
set symbol 0O
 1.6  1.68806 
set symbol 1O
 1.6  38.78902 
 1.6 -26.65509 
set symbol 0O
 1.7  1.722231 
set symbol 1O
 1.7  38.81379 
 1.7 -26.51718 
set symbol 0O
 1.8  1.743614 
set symbol 1O
 1.8  38.82563 
 1.8 -26.40667 
set symbol 0O
 1.9  1.751569 
set symbol 1O
 1.9  38.82258 
 1.9 -26.32432 
set symbol 0O
 2  1.75162 
set symbol 1O
 2  38.80918 
 2 -26.25899 
set symbol 0O
 2.1754  1.747541 
set symbol 1O
 2.1754  38.79354 
 2.1754 -26.23756 
set symbol 0O
 2.4405  1.739661 
set symbol 1O
 2.4405  38.68484 
 2.4405 -26.37687 
set symbol 0O
 2.9069  1.552042 
set symbol 1O
 2.9069  37.7104 
 2.9069 -27.21665 
set symbol 0O
 3.3743  1.448179 
set symbol 1O
 3.3743  37.13295 
 3.3743 -27.59883 
set symbol 0O
 3.8417  1.371071 
set symbol 1O
 3.8417  37.75811 
 3.8417 -27.5671 
set symbol 0O
 4.3091  1.315804 
set symbol 1O
 4.3091  38.27934 
 4.3091 -27.11506 
set symbol 0O
 4.5746  1.41649 
set symbol 1O
 4.5746  38.88393 
 4.5746 -26.50318 
set symbol 0O
 4.75  1.361635 
set symbol 1O
 4.75  38.90633 
 4.75 -26.54581 
set symbol 0O
 4.925  1.301681 
set symbol 1O
 4.925  38.64794 
 4.925 -26.75261 
set symbol 0O
 5.1905  1.396588 
set symbol 1O
 5.1905  38.16128 
 5.1905 -26.8054 
set symbol 0O
 5.6569  1.334289 
set symbol 1O
 5.6569  37.95772 
 5.6569 -26.75195 
set symbol 0O
 6.1243  1.291604 
set symbol 1O
 6.1243  38.33337 
 6.1243 -27.00176 
set symbol 0O
 6.5917  1.263417 
set symbol 1O
 6.5917  38.55381 
 6.5917 -27.66623 
set symbol 0O
 7.0591  1.198231 
set symbol 1O
 7.0591  38.64674 
 7.0591 -27.93727 
set symbol 0O
 7.3246  1.27289 
set symbol 1O
 7.3246  38.69295 
 7.3246 -28.03288 
set symbol 0O
 7.5  1.305541 
set symbol 1O
 7.5  38.72318 
 7.5 -28.09954 
set symbol 0O
 7.6004  1.317092 
set symbol 1O
 7.6004  38.74779 
 7.6004 -28.13854 
set symbol 0O
 7.7004  1.336461 
set symbol 1O
 7.7004  38.77335 
 7.7004 -28.17373 
set symbol 0O
 7.8004  1.368128 
set symbol 1O
 7.8004  38.80024 
 7.8004 -28.2012 
set symbol 0O
 7.9004  1.411092 
set symbol 1O
 7.9004  38.82866 
 7.9004 -28.22046 
set symbol 0O
 8.0004  1.461651 
set symbol 1O
 8.0004  38.85794 
 8.0004 -28.23381 
set symbol 0O
 8.1004  1.516892 
set symbol 1O
 8.1004  38.88798 
 8.1004 -28.24421 
set symbol 0O
 8.2004  1.574974 
set symbol 1O
 8.2004  38.9183 
 8.2004 -28.25308 
set symbol 0O
 8.3004  1.634618 
set symbol 1O
 8.3004  38.94882 
 8.3004 -28.26185 
set symbol 0O
 8.4004  1.695115 
set symbol 1O
 8.4004  38.97915 
 8.4004 -28.27072 
set symbol 0O
 8.5004  1.756489 
set symbol 1O
 8.5004  39.00995 
 8.5004 -28.2795 
set symbol 0O
 8.6004  1.81806 
set symbol 1O
 8.6004  39.04047 
 8.6004 -28.28856 
set symbol 0O
 8.7004  1.879816 
set symbol 1O
 8.7004  39.07108 
 8.7004 -28.29762 
set symbol 0O
 8.8004  1.941591 
set symbol 1O
 8.8004  39.10151 
 8.8004 -28.30687 
set symbol 0O
 8.9004  2.003549 
set symbol 1O
 8.9004  39.13221 
 8.9004 -28.31593 
set symbol 0O
 9.0004  2.065585 
set symbol 1O
 9.0004  39.16283 
 9.0004 -28.32499 
set symbol 0O
 9.1004  2.127524 
set symbol 1O
 9.1004  39.29863 
 9.1004 -28.33405 
set symbol 0O
 9.2004  2.189473 
set symbol 1O
 9.2004  39.46877 
 9.2004 -28.34311 
set symbol 0O
 9.3004  2.251453 
set symbol 1O
 9.3004  39.63909 
 9.3004 -28.35217 
set symbol 0O
 9.4004  2.313308 
set symbol 1O
 9.4004  39.80923 
 9.4004 -28.36142 
set symbol 0O
 9.5004  2.375167 
set symbol 1O
 9.5004  39.97946 
 9.5004 -28.37057 
new frame
set color black
title left '\rr long alpha  \bb angmom-ct-corr'
title bottom 'length (m)'
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
set limits y from -.6 to .6
set limits x from 0 to  9.5004 
set color green
 0  0 
 9.5004  0 
join 1
 4.7502 -.5 
 4.7502  .5 
join 1
set color red
 .000001  .1568846 
 .1  .1439328 
 .2  .130784 
 .3  .1173667 
 .4  .103723 
 .5  8.984254E-02 
 .6  7.573058E-02 
 .7  6.139874E-02 
 .8  4.689023E-02 
 .9  3.215913E-02 
 1  1.726953E-02 
 1.1  2.234945E-03 
 1.2 -1.296608E-02 
 1.3 -2.826135E-02 
 1.4 -4.364609E-02 
 1.5 -5.910289E-02 
 1.6 -7.455439E-02 
 1.7 -8.991219E-02 
 1.8 -.1050842 
 1.9 -.1199874 
 2 -.1348504 
 2.1754 -.161225 
 2.4405 -.2043031 
 2.9069 -.1155379 
 3.3743 -1.669887E-02 
 3.8417  8.621708E-02 
 4.3091  .1863413 
 4.5746  .1475298 
 4.75  .0826948 
 4.925  5.608374E-02 
 5.1905  1.180059E-02 
 5.6569  .0984156 
 6.1243  .1823235 
 6.5917  .2579542 
 7.0591  .32355 
 7.3246  .2863508 
 7.5  .2597061 
 7.6004  .243854 
 7.7004  .2277994 
 7.8004  .2115375 
 7.9004  .1949381 
 8.0004  .1782877 
 8.1004  .161465 
 8.2004  .1445801 
 8.3004  .1276658 
 8.4004  .1107113 
 8.5004  9.383262E-02 
 8.6004  7.700469E-02 
 8.7004  6.027282E-02 
 8.8004  4.363039E-02 
 8.9004  2.713202E-02 
 9.0004  .0107663 
 9.1004 -5.425213E-03 
 9.2004 -2.142064E-02 
 9.3004 -.0372289 
 9.4004 -5.281813E-02 
 9.5004 -6.818214E-02 
join
set color blue
 .3 -.5877061 
 .4 -.5710644 
 .5 -.5544222 
 .6 -.5377757 
 .7 -.5211275 
 .8 -.5044807 
 .9 -.4878415 
 1 -.4712241 
 1.1 -.45464 
 1.2 -.4381173 
 1.3 -.4216977 
 1.4 -.4054511 
 1.5 -.3895033 
 1.6 -.3740649 
 1.7 -.3594593 
 1.8 -.3461186 
 1.9 -.3342603 
 2 -.3231968 
 2.1754 -.294027 
 2.4405 -.2629205 
 2.9069 -.2238659 
 3.3743 -.1776904 
 3.8417 -.1328054 
 4.3091 -8.727697E-02 
 4.5746 -5.113649E-02 
 4.75 -3.838713E-02 
 4.925 -4.394589E-02 
 5.1905 -7.980449E-02 
 5.6569 -.1166038 
 6.1243 -.1506777 
 6.5917 -.1813457 
 7.0591 -.2039853 
 7.3246 -.2244328 
 7.5 -.2386664 
 7.6004 -.2444928 
 7.7004 -.2517698 
 7.8004 -.2604336 
 7.9004 -.2705045 
 8.0004 -.2812954 
 8.1004 -.2924292 
 8.2004 -.3037423 
 8.3004 -.3151548 
 8.4004 -.3266302 
 8.5004 -.3381467 
 8.6004 -.3496907 
 8.7004 -.361255 
 8.8004 -.3728357 
 8.9004 -.3844254 
 9.0004 -.3960228 
 9.1004 -.4076198 
 9.2004 -.4192134 
 9.3004 -.4307952 
 9.4004 -.4423677 
 9.5004 -.4539284 
join
new frame
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'out/in =  4853 / 4853 \gr 4853 / 5000  ' 
set limits y from  0   to  10 
set limits x from 0 to  9.5004 
title bottom 'len  (m)'
title left 'rms emit norm  ($\pi$ mm rad)'
set color green
set symbol 1O
 .000001  8.934597 
 .1  8.926961 
 .2  8.911198 
 .3  8.890356 
 .4  8.868735 
 .5  8.851156 
 .6  8.841794 
 .7  8.843244 
 .8  8.855661 
 .9  8.876637 
 1  8.901637 
 1.1  8.924995 
 1.2  8.941202 
 1.3  8.946127 
 1.4  8.938299 
 1.5  8.919242 
 1.6  8.893176 
 1.7  8.865521 
 1.8  8.841252 
 1.9  8.824103 
 2  8.814366 
 2.1754  8.555508 
 2.4405  8.625805 
 2.9069  8.645072 
 3.3743  8.590743 
 3.8417  8.411104 
 4.3091  8.31013 
 4.5746  8.243699 
 4.75  8.157423 
 4.925  7.974236 
 5.1905  7.934716 
 5.6569  8.000353 
 6.1243  8.086575 
 6.5917  8.03462 
 7.0591  7.963586 
 7.3246  7.804702 
 7.5  7.674842 
 7.6004  7.686494 
 7.7004  7.70218 
 7.8004  7.720664 
 7.9004  7.738424 
 8.0004  7.751441 
 8.1004  7.757687 
 8.2004  7.752973 
 8.3004  7.739225 
 8.4004  7.719818 
 8.5004  7.700461 
 8.6004  7.683363 
 8.7004  7.673673 
 8.8004  7.673659 
 8.9004  7.683811 
 9.0004  7.701318 
 9.1004  7.721702 
 9.2004  7.740289 
 9.3004  7.753135 
 9.4004  7.757992 
 9.5004  7.754553 
join
title 2 4 '  8.89  7.73 (mm)   -13.0 \% '
(set color blue
 0  8.889795 
 2  8.889795 
join 1
 7.5004  7.729878 
 9.5004  7.729878 
join 1

set color red
set symbol 1O
 .000001  8.457294 
 .1  8.427615 
 .2  8.389253 
 .3  8.348739 
 .4  8.313232 
 .5  8.289358 
 .6  8.281861 
 .7  8.292646 
 .8  8.320168 
 .9  8.359601 
 1  8.403732 
 1.1  8.444212 
 1.2  8.473259 
 1.3  8.48511 
 1.4  8.477592 
 1.5  8.452559 
 1.6  8.415593 
 1.7  8.374119 
 1.8  8.33528 
 1.9  8.304711 
 2  8.283762 
 2.1754  8.119648 
 2.4405  8.178561 
 2.9069  8.281481 
 3.3743  8.318442 
 3.8417  8.229729 
 4.3091  8.115423 
 4.5746  8.118475 
 4.75  7.995941 
 4.925  7.817529 
 5.1905  7.815589 
 5.6569  7.895969 
 6.1243  7.942204 
 6.5917  7.903204 
 7.0591  7.838842 
 7.3246  7.808303 
 7.5  7.679984 
 7.6004  7.692127 
 7.7004  7.708073 
 7.8004  7.726462 
 7.9004  7.743681 
 8.0004  7.755742 
 8.1004  7.759409 
 8.2004  7.753361 
 8.3004  7.73876 
 8.4004  7.718862 
 8.5004  7.69818 
 8.6004  7.681425 
 8.7004  7.672448 
 8.8004  7.673337 
 8.9004  7.683811 
 9.0004  7.701318 
 9.1004  7.721702 
 9.2004  7.740289 
 9.3004  7.753135 
 9.4004  7.757992 
 9.5004  7.754553 
join
set color blue
 0  8.382298 
 2  8.382298 
join 1
 7.5004  7.732942 
 9.5004  7.732942 
join 1
title 2 3 '  8.38  7.73 (mm)   -7.7 \% '
title 2.5 2.7 'only ending tracks'
new frame
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'n/n =  4853  /  4853 \gr 4853 / 5000 ' 
title left 'long emit (pi mm)'
title bottom 'length (m)'
set limits y from  0   to  20 
set limits x from 0 to  9.5004
set color green
 .000001  10.36903 
 .1  10.37121 
 .2  10.37217 
 .3  10.3744 
 .4  10.37592 
 .5  10.3767 
 .6  10.37923 
 .7  10.38054 
 .8  10.37878 
 .9  10.38626 
 1  10.39086 
 1.1  10.39073 
 1.2  10.39159 
 1.3  10.39501 
 1.4  10.39935 
 1.5  10.40122 
 1.6  10.40368 
 1.7  10.40646 
 1.8  10.40851 
 1.9  10.41045 
 2  10.40297 
 2.1754  10.60438 
 2.4405  10.60978 
 2.9069  10.58004 
 3.3743  10.57186 
 3.8417  10.56213 
 4.3091  10.59548 
 4.5746  10.62536 
 4.75  10.66916 
 4.925  10.86371 
 5.1905  10.8662 
 5.6569  10.81939 
 6.1243  10.85105 
 6.5917  10.85963 
 7.0591  10.92671 
 7.3246  10.98197 
 7.5  11.14478 
 7.6004  11.16372 
 7.7004  11.17658 
 7.8004  11.18594 
 7.9004  11.20024 
 8.0004  11.20715 
 8.1004  11.18908 
 8.2004  11.17814 
 8.3004  11.19029 
 8.4004  11.20688 
 8.5004  11.18046 
 8.6004  11.19785 
 8.7004  11.21192 
 8.8004  11.23016 
 8.9004  11.22858 
 9.0004  11.24782 
 9.1004  11.26723 
 9.2004  11.28884 
 9.3004  11.30927 
 9.4004  11.33007 
 9.5004  11.35246 
join
title 2 4 ' 10.39 11.19 (mm)    7.7 \% '
(set color blue
 0  10.3881 
 2  10.3881 
join 1
 7.5004  11.18867 
 9.5004  11.18867 
join 1

set color red
 .000001  10.30686 
 .1  10.30958 
 .2  10.31011 
 .3  10.31233 
 .4  10.3132 
 .5  10.31358 
 .6  10.31572 
 .7  10.31717 
 .8  10.31549 
 .9  10.32139 
 1  10.32565 
 1.1  10.32605 
 1.2  10.32619 
 1.3  10.32896 
 1.4  10.33245 
 1.5  10.33406 
 1.6  10.33661 
 1.7  10.33971 
 1.8  10.34113 
 1.9  10.34436 
 2  10.33698 
 2.1754  10.52932 
 2.4405  10.53424 
 2.9069  10.49164 
 3.3743  10.4818 
 3.8417  10.48397 
 4.3091  10.5083 
 4.5746  10.54125 
 4.75  10.55443 
 4.925  10.74714 
 5.1905  10.74864 
 5.6569  10.74826 
 6.1243  10.76882 
 6.5917  10.79898 
 7.0591  10.85248 
 7.3246  10.87815 
 7.5  11.03975 
 7.6004  11.05852 
 7.7004  11.07118 
 7.8004  11.08021 
 7.9004  11.0943 
 8.0004  11.1011 
 8.1004  11.11173 
 8.2004  11.12294 
 8.3004  11.13509 
 8.4004  11.15169 
 8.5004  11.16378 
 8.6004  11.18097 
 8.7004  11.19504 
 8.8004  11.21281 
 8.9004  11.22858 
 9.0004  11.24782 
 9.1004  11.26723 
 9.2004  11.28884 
 9.3004  11.30927 
 9.4004  11.33007 
 9.5004  11.35246 
join
set color blue
 0  10.32353 
 2  10.32353 
join 1
 7.5004  11.10297 
 9.5004  11.10297 
join 1
title 2 3 ' 10.32 11.10 (mm)    7.6 \% '
title 2.5 2.7 'only ending tracks'
new frame
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'n/n =  4853  /  4853  ' 
title left 'emit6    ($\pi$ mm)$^3$'
title bottom 'length (m)'
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
set limits y from  0   to  1000
set limits x from 0 to  9.5004
set color green
set symbol 1O
 .000001  818.9323 
 .1  819.1771 
 .2  819.3669 
 .3  819.621 
 .4  819.7391 
 .5  819.7366 
 .6  819.8611 
 .7  819.9324 
 .8  819.8245 
 .9  820.4834 
 1  820.9126 
 1.1  820.9269 
 1.2  820.9743 
 1.3  821.1989 
 1.4  821.5196 
 1.5  821.6896 
 1.6  821.9396 
 1.7  822.2144 
 1.8  822.4291 
 1.9  822.7114 
 2  822.2786 
 2.1754  788.0945 
 2.4405  789.3762 
 2.9069  774.2607 
 3.3743  763.0249 
 3.8417  746.5478 
 4.3091  746.1057 
 4.5746  739.1442 
 4.75  716.102 
 4.925  701.2187 
 5.1905  700.52 
 5.6569  696.1655 
 6.1243  697.7972 
 6.5917  696.9812 
 7.0591  693.3222 
 7.3246  679.3395 
 7.5  662.0331 
 7.6004  664.0793 
 7.7004  664.6887 
 7.8004  665.1214 
 7.9004  665.873 
 8.0004  666.2128 
 8.1004  665.339 
 8.2004  664.8906 
 8.3004  665.6942 
 8.4004  666.765 
 8.5004  665.5448 
 8.6004  666.5997 
 8.7004  667.453 
 8.8004  668.5972 
 8.9004  668.5311 
 9.0004  669.8575 
 9.1004  671.1966 
 9.2004  672.6162 
 9.3004  673.9113 
 9.4004  675.2181 
 9.5004  676.6697 
join
 0  820.6595 
 2  820.6595 
join 1
 7.5004  665.4071 
 9.5004  665.4071 
join 1
title 2 4 '  820.7  665.4 (mm)$^3$   %-18.9 \% '

set color red
set symbol 1O
 .000001  723.6617 
 .1  723.9484 
 .2  724.0748 
 .3  724.2496 
 .4  724.2521 
 .5  724.1879 
 .6  724.2814 
 .7  724.3961 
 .8  724.3511 
 .9  724.8404 
 1  725.1677 
 1.1  725.1543 
 1.2  725.0839 
 1.3  725.2106 
 1.4  725.4545 
 1.5  725.6408 
 1.6  725.9343 
 1.7  726.2562 
 1.8  726.4001 
 1.9  726.6512 
 2  726.214 
 2.1754  711.1389 
 2.4405  712.207 
 2.9069  708.7214 
 3.3743  707.1764 
 3.8417  707.0406 
 4.3091  708.6696 
 4.5746  710.996 
 4.75  683.9299 
 4.925  668.5828 
 5.1905  668.1848 
 5.6569  667.4475 
 6.1243  668.0401 
 6.5917  670.2858 
 7.0591  672.8508 
 7.3246  673.4809 
 7.5  656.3723 
 7.6004  658.4178 
 7.7004  659.0154 
 7.8004  659.426 
 7.9004  660.1609 
 8.0004  660.4902 
 8.1004  661.1055 
 8.2004  661.816 
 8.3004  662.6216 
 8.4004  663.69 
 8.5004  664.4563 
 8.6004  665.4941 
 8.7004  666.3459 
 8.8004  667.4636 
 8.9004  668.5311 
 9.0004  669.8575 
 9.1004  671.1966 
 9.2004  672.6162 
 9.3004  673.9113 
 9.4004  675.2181 
 9.5004  676.6697 
join
set color blue
 0  724.9598 
 2  724.9598 
join 1
 7.5004  660.7493 
 9.5004  660.7493 
join 1
title 2 3 '  725.0  660.7 (mm)$^3$   -8.9 \% '
title 2.5 2.7 'only ending tracks'
new frame
title left 'loss \%'
title bottom 'length (m)'
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'n/n =  4853  /  5000  ' 
set limits x from 0 to  9.5004
set limits 0 to 10
 .000001  0 
 .1  0 
 .2  0 
 .3  0 
 .4  0 
 .5  0 
 .6  0 
 .7  0 
 .8  0 
 .9  0 
 1  0 
 1.1  0 
 1.2  0 
 1.3  0 
 1.4  0 
 1.5  0 
 1.6  0 
 1.7  0 
 1.8  0 
 1.9  0 
 2  0 
 2.1754  .4210104 
 2.4405  .4210104 
 2.9069  .8019246 
 3.3743  1.002406 
 3.8417  1.403368 
 4.3091  1.463512 
 4.5746  1.724138 
 4.75  1.724138 
 4.925  1.724138 
 5.1905  1.724138 
 5.6569  1.784282 
 6.1243  1.784282 
 6.5917  1.984763 
 7.0591  2.085004 
 7.3246  2.606255 
 7.5  2.606255 
 7.6004  2.606255 
 7.7004  2.606255 
 7.8004  2.606255 
 7.9004  2.606255 
 8.0004  2.606255 
 8.1004  2.626303 
 8.2004  2.646351 
 8.3004  2.646351 
 8.4004  2.646351 
 8.5004  2.686447 
 8.6004  2.686447 
 8.7004  2.686447 
 8.8004  2.686447 
 8.9004  2.706496 
 9.0004  2.706496 
 9.1004  2.706496 
 9.2004  2.706496 
 9.3004  2.706496 
 9.4004  2.706496 
 9.5004  2.706496 
join 1  

new frame
title left 'momentum-amp$^2$ correlation (GeV/c)'
title bottom 'length (m)'
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
set limits x from 0 to  9.5004 
set limits y from 0 to 1
set symbol  1O
 4.75  .3505915 
plot 
new frame
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'n/n =  4853  /  4853  ' 
set limits y from -3000   to  3000 
set limits x from 0 to  9.5004 
title bottom 'len  (m)'
title left '\rr real /\bb canonical \bw ang mom (mm MeV/c)'
 0  0 
 9.5004  0 
join 1 
set color red
 .000001  1771.653187461197 
 .1  1774.709089659154 
 .2  1776.004326529801 
 .3  1775.212003849447 
 .4  1772.418501786888 
 .5  1768.131856806576 
 .6  1763.165579177439 
 .7  1758.473110385239 
 .8  1754.924887791276 
 .9  1753.081334754825 
 1  1753.010204993188 
 1.1  1754.088094457984 
 1.2  1754.885772243142 
 1.3  1752.993324771523 
 1.4  1744.673121720552 
 1.5  1724.233152344823 
 1.6  1683.543319813907 
 1.7  1614.822424016893 
 1.8  1526.536187157035 
 1.9  1473.559648729861 
 2  1543.746795505285 
 2.1754  1924.993703141809 
 2.4405  1826.627645641565 
 2.9069  1571.097527630627 
 3.3743  2250.308869406581 
 3.8417  1440.155319869518 
 4.3091  2003.247151151299 
 4.5746  1406.33131377399 
 4.75 -89.12781777326018 
 4.925 -1493.2865742594 
 5.1905 -1950.408797711134 
 5.6569 -1372.297178022563 
 6.1243 -2195.198088884354 
 6.5917 -1663.622795604169 
 7.0591 -1988.71293105185 
 7.3246 -2038.04625198245 
 7.5 -1505.057793110609 
 7.6004 -1395.706087350845 
 7.7004 -1394.353457726538 
 7.8004 -1415.185630321503 
 7.9004 -1421.80488910526 
 8.0004 -1422.039116732776 
 8.1004 -1432.557706721127 
 8.2004 -1463.044318370521 
 8.3004 -1514.19488247484 
 8.4004 -1579.574076458812 
 8.5004 -1648.347009904683 
 8.6004 -1708.288327790797 
 8.7004 -1748.548238538206 
 8.8004 -1762.036234140396 
 8.9004 -1746.823429130018 
 9.0004 -1706.456998363137 
 9.1004 -1649.233279749751 
 9.2004 -1586.434082128108 
 9.3004 -1530.121662653983 
 9.4004 -1490.761758759618 
 9.5004 -1475.264900363982 
join 1 
set color blue
 .000001  5.453144694911316 
 .1  5.443749159894651 
 .2  5.41654480912257 
 .3  5.41130748388241 
 .4  5.461492492031539 
 .5  5.472163593367441 
 .6  5.438610060082283 
 .7  5.487368980539031 
 .8  5.515499196917517 
 .9  5.557616532314569 
 1  5.583507117989939 
 1.1  5.677469289366854 
 1.2  5.910816526011331 
 1.3  6.226605819392717 
 1.4  6.824049251008546 
 1.5  7.832467417756561 
 1.6  9.060752745426726 
 1.7  9.13875010155607 
 1.8  4.305139100324595 
 1.9 -4.485006684262771 
 2 -7.774025107210036 
 2.1754 -33.15477806609124 
 2.4405 -48.50797995459288 
 2.9069 -55.47318141907454 
 3.3743 -35.98648618208244 
 3.8417 -61.64272053865716 
 4.3091 -44.15933653945103 
 4.5746 -18.23281490942463 
 4.75 -72.63969746418297 
 4.925 -82.58361049229279 
 5.1905 -52.74610157357529 
 5.6569 -35.41487967595458 
 6.1243 -54.29312659543939 
 6.5917 -30.17633389390539 
 7.0591 -34.11377838347107 
 7.3246 -48.63471258431673 
 7.5  26.11968375276774 
 7.6004  24.5680712396279 
 7.7004  16.34551517781802 
 7.8004  12.65370701730717 
 7.9004  13.07269212702522 
 8.0004  14.01773261022754 
 8.1004  14.71511950512649 
 8.2004  15.14093673904426 
 8.3004  15.39835284347646 
 8.4004  15.57319410494529 
 8.5004  15.68291554576717 
 8.6004  15.80350362928584 
 8.7004  15.8523689606227 
 8.8004  15.86092366778757 
 8.9004  15.85528661962599 
 9.0004  15.86046710144728 
 9.1004  15.83920129633043 
 9.2004  15.79424497322179 
 9.3004  15.75800706632435 
 9.4004  15.71516258991323 
 9.5004  15.70304993947502 
join 1  
new frame
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'n/n =  4853  /  4853  ' 
set limits y from  190  to  220 
set limits x from 0 to  9.5004 
title bottom 'len  (m)'
title left 'ave mom (MeV/c  \rr real \bb corrected)'
set color red
 .000001  214.3722 
 .1  214.3729 
 .2  214.3732 
 .3  214.3731 
 .4  214.3729 
 .5  214.373 
 .6  214.373 
 .7  214.3729 
 .8  214.3721 
 .9  214.372 
 1  214.372 
 1.1  214.3722 
 1.2  214.3722 
 1.3  214.372 
 1.4  214.372 
 1.5  214.3721 
 1.6  214.3721 
 1.7  214.3721 
 1.8  214.3721 
 1.9  214.3722 
 2  214.3719 
 2.1754  208.0837 
 2.4405  208.0836 
 2.9069  211.2359 
 3.3743  214.1399 
 3.8417  217.0371 
 4.3091  219.9431 
 4.5746  219.8674 
 4.75  213.68 
 4.925  207.5946 
 5.1905  207.4065 
 5.6569  210.5352 
 6.1243  213.4362 
 6.5917  216.3232 
 7.0591  219.2069 
 7.3246  219.1296 
 7.5  212.9111 
 7.6004  212.7215 
 7.7004  212.7213 
 7.8004  212.7213 
 7.9004  212.7214 
 8.0004  212.7213 
 8.1004  212.7212 
 8.2004  212.7213 
 8.3004  212.7212 
 8.4004  212.7212 
 8.5004  212.7213 
 8.6004  212.7212 
 8.7004  212.7213 
 8.8004  212.7215 
 8.9004  212.7215 
 9.0004  212.7214 
 9.1004  212.7215 
 9.2004  212.7215 
 9.3004  212.7214 
 9.4004  212.7213 
 9.5004  212.7212 
join 1 
set color blue
 .000001  200.5045 
 .1  200.5051 
 .2  200.5054 
 .3  200.5053 
 .4  200.5052 
 .5  200.5053 
 .6  200.5053 
 .7  200.5052 
 .8  200.5046 
 .9  200.5044 
 1  200.5043 
 1.1  200.5045 
 1.2  200.5045 
 1.3  200.5044 
 1.4  200.5044 
 1.5  200.5044 
 1.6  200.5044 
 1.7  200.5044 
 1.8  200.5044 
 1.9  200.5043 
 2  200.5047 
 2.1754  194.2159 
 2.4405  194.216 
 2.9069  197.3686 
 3.3743  200.272 
 3.8417  203.1694 
 4.3091  206.0762 
 4.5746  206 
 4.75  200.6224 
 4.925  194.5366 
 5.1905  194.3484 
 5.6569  197.4772 
 6.1243  200.378 
 6.5917  203.2653 
 7.0591  206.1489 
 7.3246  206.0714 
 7.5  199.853 
 7.6004  199.6633 
 7.7004  199.6633 
 7.8004  199.6634 
 7.9004  199.6632 
 8.0004  199.6634 
 8.1004  199.6635 
 8.2004  199.6634 
 8.3004  199.6635 
 8.4004  199.6632 
 8.5004  199.6633 
 8.6004  199.6632 
 8.7004  199.6634 
 8.8004  199.6632 
 8.9004  199.6633 
 9.0004  199.6632 
 9.1004  199.6632 
 9.2004  199.6632 
 9.3004  199.6633 
 9.4004  199.6634 
 9.5004  199.6634 
join 1 
set color green
 .000001  200 
 .1  200 
 .2  200 
 .3  200 
 .4  200 
 .5  200 
 .6  200 
 .7  200 
 .8  200 
 .9  200 
 1  200 
 1.1  200 
 1.2  200 
 1.3  200 
 1.4  200 
 1.5  200 
 1.6  200 
 1.7  200 
 1.8  200 
 1.9  200 
 2  200 
 2.1754  193.6 
 2.4405  193.6 
 2.9069  196.98 
 3.3743  200.17 
 3.8417  203.35 
 4.3091  206.51 
 4.5746  206.44 
 4.75  200.15 
 4.925  193.95 
 5.1905  193.75 
 5.6569  197.13 
 6.1243  200.32 
 6.5917  203.5 
 7.0591  206.66 
 7.3246  206.59 
 7.5  200.3 
 7.6004  200.11 
 7.7004  200.11 
 7.8004  200.11 
 7.9004  200.11 
 8.0004  200.11 
 8.1004  200.11 
 8.2004  200.11 
 8.3004  200.11 
 8.4004  200.11 
 8.5004  200.11 
 8.6004  200.11 
 8.7004  200.11 
 8.8004  200.11 
 8.9004  200.11 
 9.0004  200.11 
 9.1004  200.11 
 9.2004  200.11 
 9.3004  200.11 
 9.4004  200.11 
 9.5004  200.11 
join 1 
new frame
set color black
title 0.1 9.5 size=2 ' ex6  full rf    1+.5+.5 absorber  emit=9mm ' 
title 1.5 9 size=2 'n/n =  4853  /  4853  ' 
set limits y from  112.0829  to  138.7724 
set limits x from 0 to  9.5004 
title bottom 'len  (m)'
title left 'ave energy (MeV)'
set color red
 .000001  133.7057 
 .1  133.7064 
 .2  133.7066 
 .3  133.7066 
 .4  133.7064 
 .5  133.7065 
 .6  133.7064 
 .7  133.7064 
 .8  133.7056 
 .9  133.7056 
 1  133.7056 
 1.1  133.7058 
 1.2  133.7058 
 1.3  133.7056 
 1.4  133.7056 
 1.5  133.7056 
 1.6  133.7057 
 1.7  133.7056 
 1.8  133.7057 
 1.9  133.7057 
 2  133.7055 
 2.1754  128.0747 
 2.4405  128.0746 
 2.9069  130.8932 
 3.3743  133.4972 
 3.8417  136.1019 
 4.3091  138.7211 
 4.5746  138.6528 
 4.75  133.0843 
 4.925  127.6381 
 5.1905  127.4704 
 5.6569  130.266 
 6.1243  132.8655 
 6.5917  135.4594 
 7.0591  138.0569 
 7.3246  137.9872 
 7.5  132.3945 
 7.6004  132.2244 
 7.7004  132.2242 
 7.8004  132.2243 
 7.9004  132.2243 
 8.0004  132.2243 
 8.1004  132.2242 
 8.2004  132.2243 
 8.3004  132.2242 
 8.4004  132.2242 
 8.5004  132.2242 
 8.6004  132.2242 
 8.7004  132.2243 
 8.8004  132.2245 
 8.9004  132.2244 
 9.0004  132.2244 
 9.1004  132.2244 
 9.2004  132.2245 
 9.3004  132.2244 
 9.4004  132.2242 
 9.5004  132.2242 
join 1 
set color green
 .000001  120.8871 
 .1  120.8871 
 .2  120.8871 
 .3  120.8871 
 .4  120.8871 
 .5  120.8871 
 .6  120.8871 
 .7  120.8871 
 .8  120.8871 
 .9  120.8871 
 1  120.8871 
 1.1  120.8871 
 1.2  120.8871 
 1.3  120.8871 
 1.4  120.8871 
 1.5  120.8871 
 1.6  120.8871 
 1.7  120.8871 
 1.8  120.8871 
 1.9  120.8871 
 2  120.8871 
 2.1754  115.2407 
 2.4405  115.2407 
 2.9069  118.2177 
 3.3743  121.0377 
 3.8417  123.8585 
 4.3091  126.6709 
 4.5746  126.6085 
 4.75  121.02 
 4.925  115.5484 
 5.1905  115.3725 
 5.6569  118.35 
 6.1243  121.1705 
 6.5917  123.9918 
 7.0591  126.8046 
 7.3246  126.7422 
 7.5  121.1528 
 7.6004  120.9845 
 7.7004  120.9845 
 7.8004  120.9845 
 7.9004  120.9845 
 8.0004  120.9845 
 8.1004  120.9845 
 8.2004  120.9845 
 8.3004  120.9845 
 8.4004  120.9845 
 8.5004  120.9845 
 8.6004  120.9845 
 8.7004  120.9845 
 8.8004  120.9845 
 8.9004  120.9845 
 9.0004  120.9845 
 9.1004  120.9845 
 9.2004  120.9845 
 9.3004  120.9845 
 9.4004  120.9845 
 9.5004  120.9845 
join 1 
new frame
new frame