Skip to content

Instantly share code, notes, and snippets.

@ycopin

ycopin/Isothermes_vdWaals.svg

Created November 15, 2020 20:18
Show Gist options
  • Save ycopin/02d0c6f01857562bcf38a57c035c36e0 to your computer and use it in GitHub Desktop.
Save ycopin/02d0c6f01857562bcf38a57c035c36e0 to your computer and use it in GitHub Desktop.
Download ZIP
Isothermes de van der Waals
Display the source blob
Display the rendered blob
Raw
Isothermes_vdWaals.svg
<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Created with matplotlib (http://matplotlib.org/) -->
<svg height="432pt" version="1.1" viewBox="0 0 576 432" width="576pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<defs>
<style type="text/css">
*{stroke-linecap:butt;stroke-linejoin:round;}
</style>
</defs>
<g id="figure_1">
<g id="patch_1">
<path d="M 0 432
L 576 432
L 576 0
L 0 0
z
" style="fill:#ffffff;"/>
</g>
<g id="axes_1">
<g id="patch_2">
<path d="M 72 388.8
L 518.4 388.8
L 518.4 43.2
L 72 43.2
z
" style="fill:#ffffff;"/>
</g>
<g id="PolyCollection_1">
<path clip-path="url(#p54a63d19e2)" d="M 106.922542 299.358948
L 106.922542 299.358948
L 109.9496 299.358948
L 112.976657 299.358948
L 116.003715 299.358948
L 119.030773 299.358948
L 122.05783 299.358948
L 125.084888 299.358948
L 128.111945 299.358948
L 131.139003 299.358948
L 134.166061 299.358948
L 137.193118 299.358948
L 140.220176 299.358948
L 143.247233 299.358948
L 146.274291 299.358948
L 149.301349 299.358948
L 152.328406 299.358948
L 155.355464 299.358948
L 158.382521 299.358948
L 161.409579 299.358948
L 164.436637 299.358948
L 167.463694 299.358948
L 170.490752 299.358948
L 173.517809 299.358948
L 176.544867 299.358948
L 179.571925 299.358948
L 182.598982 299.358948
L 185.62604 299.358948
L 188.653097 299.358948
L 191.680155 299.358948
L 194.707213 299.358948
L 197.73427 299.358948
L 200.761328 299.358948
L 203.788385 299.358948
L 206.815443 299.358948
L 209.842501 299.358948
L 212.869558 299.358948
L 215.896616 299.358948
L 218.923673 299.358948
L 221.950731 299.358948
L 224.977789 299.358948
L 228.004846 299.358948
L 231.031904 299.358948
L 234.058961 299.358948
L 237.086019 299.358948
L 240.113077 299.358948
L 243.140134 299.358948
L 246.167192 299.358948
L 249.19425 299.358948
L 252.221307 299.358948
L 255.248365 299.358948
L 258.275422 299.358948
L 261.30248 299.358948
L 264.329538 299.358948
L 267.356595 299.358948
L 270.383653 299.358948
L 273.41071 299.358948
L 276.437768 299.358948
L 279.464826 299.358948
L 282.491883 299.358948
L 285.518941 299.358948
L 288.545998 299.358948
L 291.573056 299.358948
L 294.600114 299.358948
L 297.627171 299.358948
L 300.654229 299.358948
L 303.681286 299.358948
L 306.708344 299.358948
L 309.735402 299.358948
L 312.762459 299.358948
L 315.789517 299.358948
L 318.816574 299.358948
L 321.843632 299.358948
L 324.87069 299.358948
L 327.897747 299.358948
L 330.924805 299.358948
L 333.951862 299.358948
L 336.97892 299.358948
L 340.005978 299.358948
L 343.033035 299.358948
L 346.060093 299.358948
L 349.08715 299.358948
L 352.114208 299.358948
L 355.141266 299.358948
L 358.168323 299.358948
L 361.195381 299.358948
L 364.222438 299.358948
L 367.249496 299.358948
L 370.276554 299.358948
L 373.303611 299.358948
L 376.330669 299.358948
L 379.357726 299.358948
L 382.384784 299.358948
L 385.411842 299.358948
L 388.438899 299.358948
L 391.465957 299.358948
L 394.493014 299.358948
L 397.520072 299.358948
L 400.54713 299.358948
L 403.574187 299.358948
L 406.601245 299.358948
L 406.601245 299.358948
L 406.601245 299.358948
L 403.574187 299.04761
L 400.54713 298.736597
L 397.520072 298.426019
L 394.493014 298.115994
L 391.465957 297.806643
L 388.438899 297.498096
L 385.411842 297.190491
L 382.384784 296.883972
L 379.357726 296.57869
L 376.330669 296.274807
L 373.303611 295.972491
L 370.276554 295.671921
L 367.249496 295.373284
L 364.222438 295.076779
L 361.195381 294.782616
L 358.168323 294.491013
L 355.141266 294.202203
L 352.114208 293.916431
L 349.08715 293.633954
L 346.060093 293.355045
L 343.033035 293.07999
L 340.005978 292.80909
L 336.97892 292.542665
L 333.951862 292.28105
L 330.924805 292.024597
L 327.897747 291.773681
L 324.87069 291.528695
L 321.843632 291.290052
L 318.816574 291.058189
L 315.789517 290.833568
L 312.762459 290.616673
L 309.735402 290.408017
L 306.708344 290.208139
L 303.681286 290.017609
L 300.654229 289.837026
L 297.627171 289.667024
L 294.600114 289.508269
L 291.573056 289.361465
L 288.545998 289.227354
L 285.518941 289.106718
L 282.491883 289.000381
L 279.464826 288.909212
L 276.437768 288.834129
L 273.41071 288.776096
L 270.383653 288.736131
L 267.356595 288.715308
L 264.329538 288.714754
L 261.30248 288.735661
L 258.275422 288.779281
L 255.248365 288.846933
L 252.221307 288.940004
L 249.19425 289.059952
L 246.167192 289.20831
L 243.140134 289.386689
L 240.113077 289.596778
L 237.086019 289.840348
L 234.058961 290.119254
L 231.031904 290.435436
L 228.004846 290.790921
L 224.977789 291.187821
L 221.950731 291.628335
L 218.923673 292.114743
L 215.896616 292.649406
L 212.869558 293.234759
L 209.842501 293.873301
L 206.815443 294.567587
L 203.788385 295.32021
L 200.761328 296.133781
L 197.73427 297.010905
L 194.707213 297.954146
L 191.680155 298.965986
L 188.653097 300.048766
L 185.62604 301.204624
L 182.598982 302.435407
L 179.571925 303.742561
L 176.544867 305.126997
L 173.517809 306.588923
L 170.490752 308.127629
L 167.463694 309.741223
L 164.436637 311.426294
L 161.409579 313.177493
L 158.382521 314.987003
L 155.355464 316.84387
L 152.328406 318.733151
L 149.301349 320.634841
L 146.274291 322.522494
L 143.247233 324.361457
L 140.220176 326.106604
L 137.193118 327.699387
L 134.166061 329.064007
L 131.139003 330.102387
L 128.111945 330.687534
L 125.084888 330.654695
L 122.05783 329.789478
L 119.030773 327.811741
L 116.003715 324.353473
L 112.976657 318.928098
L 109.9496 310.887244
L 106.922542 299.358948
z
" style="fill:#0000ff;fill-opacity:0.2;"/>
</g>
<g id="line2d_1">
<path clip-path="url(#p54a63d19e2)" d="M 81.947702 -1
L 83.068053 62.242205
L 84.649203 135.796469
L 86.230353 195.369692
L 87.811504 243.813823
L 89.392654 283.315445
L 90.973805 315.573013
L 92.554955 341.921026
L 94.136105 363.418689
L 95.717256 380.9143
L 97.298406 395.09272
L 98.879556 406.510858
L 100.460707 415.624511
L 102.041857 422.8089
L 103.623008 428.374547
L 105.204158 432.579655
L 105.404206 433
M 121.808522 433
L 124.177963 429.973126
L 127.340263 425.51415
L 131.293139 419.532371
L 147.104643 395.135655
L 151.848094 388.362859
L 156.591545 381.98473
L 161.334997 376.023488
L 165.287872 371.377277
L 169.240748 367.018959
L 173.193624 362.940384
L 177.1465 359.130946
L 181.889951 354.897773
L 186.633403 351.012304
L 191.376854 347.451609
L 196.120305 344.192979
L 200.863756 341.214409
L 205.607207 338.494899
L 210.350658 336.01462
L 215.094109 333.754995
L 220.628136 331.374625
L 226.162162 329.24574
L 231.696188 327.345218
L 238.02079 325.425923
L 244.345392 323.749157
L 250.669993 322.289594
L 257.78517 320.87914
L 264.900347 319.686455
L 272.806098 318.586179
L 281.502426 317.614742
L 290.989328 316.801131
L 300.47623 316.2072
L 311.544283 315.74884
L 323.402911 315.491628
L 336.842689 315.438932
L 351.863617 315.619842
L 368.465696 316.04847
L 388.230076 316.792451
L 411.947332 317.92118
L 441.989189 319.585131
L 487.84255 322.374628
L 577 327.903468
L 577 327.903468
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_2">
<path clip-path="url(#p54a63d19e2)" d="M 82.945313 -1
L 83.858628 46.660238
L 85.439778 116.268115
L 87.020929 173.005579
L 88.602079 219.435222
L 90.183229 257.536083
L 91.76438 288.855394
L 93.34553 314.615947
L 94.926681 335.793445
L 96.507831 353.173116
L 98.088981 367.391751
L 99.670132 378.969331
L 101.251282 388.333099
L 102.832432 395.836067
L 104.413583 401.771401
L 105.994733 406.383692
L 107.575884 409.877854
L 109.157034 412.426215
L 109.947609 413.392085
L 110.738184 414.174199
L 111.52876 414.787285
L 112.319335 415.244909
L 113.10991 415.559581
L 113.900485 415.742843
L 115.481635 415.756937
L 117.062786 415.363047
L 118.643936 414.62601
L 120.225087 413.601337
L 121.806237 412.33663
L 124.177963 410.077321
L 126.549688 407.483156
L 129.711989 403.658754
L 134.45544 397.461515
L 148.685793 378.473458
L 153.429245 372.561808
L 158.172696 366.983541
L 162.916147 361.763674
L 167.659598 356.909472
L 172.403049 352.416704
L 177.1465 348.273889
L 181.889951 344.465156
L 186.633403 340.97219
L 191.376854 337.775536
L 196.120305 334.85547
L 200.863756 332.192573
L 205.607207 329.76809
L 210.350658 327.564153
L 215.884685 325.24921
L 221.418711 323.186618
L 226.952737 321.353428
L 233.277339 319.512379
L 239.60194 317.915128
L 245.926542 316.536139
L 253.041719 315.217284
L 260.156895 314.116837
L 268.062647 313.119346
L 276.758974 312.260787
L 286.245877 311.569466
L 296.523354 311.065703
L 307.591407 310.762036
L 319.450035 310.66382
L 332.889813 310.782987
L 347.910742 311.145761
L 365.303396 311.797398
L 385.858351 312.800946
L 411.156757 314.269887
L 445.942065 316.532388
L 532.905336 322.514543
L 577 325.452382
L 577 325.452382
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_3">
<path clip-path="url(#p54a63d19e2)" d="M 83.995743 -1
L 85.439778 65.401905
L 87.020929 125.17813
L 88.602079 174.303928
L 90.183229 214.813188
L 91.76438 248.296874
L 93.34553 276.013079
L 94.926681 298.966309
L 96.507831 317.965529
L 98.088981 333.667267
L 99.670132 346.608052
L 101.251282 357.229099
L 102.832432 365.895306
L 104.413583 372.91001
L 105.994733 378.526554
L 107.575884 382.957433
L 109.157034 386.381564
L 110.738184 388.950134
L 112.319335 390.791299
L 113.900485 392.014019
L 115.481635 392.71117
L 117.062786 392.962113
L 118.643936 392.834805
L 120.225087 392.387549
L 121.806237 391.670448
L 123.387387 390.726626
L 125.759113 388.965662
L 128.130839 386.881641
L 131.293139 383.743123
L 135.246015 379.451759
L 142.361192 371.305072
L 150.266944 362.358381
L 155.80097 356.438734
L 160.544421 351.668299
L 165.287872 347.204559
L 170.031324 343.055815
L 174.774775 339.219972
L 179.518226 335.688262
L 184.261677 332.447801
L 189.005128 329.483326
L 193.748579 326.778378
L 198.49203 324.316107
L 203.235482 322.079798
L 208.769508 319.73474
L 214.303534 317.650612
L 219.837561 315.804396
L 225.371587 314.174728
L 231.696188 312.552233
L 238.02079 311.160133
L 245.135967 309.839443
L 252.251143 308.749144
L 260.156895 307.774985
L 268.062647 307.019108
L 276.758974 306.405917
L 286.245877 305.960703
L 296.523354 305.701226
L 307.591407 305.637904
L 320.24061 305.790007
L 334.470963 306.189455
L 351.073042 306.890516
L 370.046847 307.919447
L 393.764103 309.438321
L 425.38711 311.701411
L 488.633125 316.509844
L 551.879141 321.217968
L 577 323.001297
L 577 323.001297
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_4">
<path clip-path="url(#p54a63d19e2)" d="M 85.101843 -1
L 86.230353 47.469547
L 87.811504 104.493006
L 89.392654 151.633194
L 90.973805 190.735264
L 92.554955 223.251415
L 94.136105 250.336388
L 95.717256 272.916833
L 97.298406 291.742479
L 98.879556 307.424394
L 100.460707 320.463953
L 102.041857 331.275008
L 103.623008 340.201037
L 105.204158 347.528533
L 106.785308 353.497537
L 108.366459 358.310007
L 109.947609 362.136502
L 111.52876 365.121559
L 113.10991 367.38805
L 114.69106 369.040731
L 116.272211 370.169149
L 117.853361 370.850025
L 119.434511 371.149242
L 121.015662 371.123478
L 122.596812 370.82158
L 124.177963 370.28571
L 125.759113 369.552307
L 128.130839 368.149629
L 130.502564 366.461673
L 133.664865 363.889724
L 137.617741 360.339806
L 144.732918 353.54278
L 153.429245 345.30264
L 158.963271 340.362042
L 163.706722 336.386003
L 168.450173 332.671569
L 173.193624 329.226191
L 177.937076 326.048504
L 182.680527 323.13142
L 187.423978 320.464271
L 192.167429 318.034278
L 196.91088 315.827568
L 202.444906 313.516219
L 207.978933 311.4668
L 213.512959 309.657498
L 219.046985 308.067602
L 225.371587 306.494408
L 231.696188 305.155741
L 238.811365 303.89983
L 245.926542 302.878755
L 253.832294 301.985971
L 261.738046 301.315305
L 270.434373 300.799252
L 279.921275 300.462892
L 290.198753 300.323397
L 301.266805 300.390268
L 313.916008 300.690824
L 328.146362 301.255121
L 344.748441 302.143725
L 364.512821 303.434229
L 389.811227 305.327009
L 426.177685 308.297961
L 536.858212 317.467582
L 577 320.550212
L 577 320.550212
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_5">
<path clip-path="url(#p54a63d19e2)" d="M 86.251294 -1
L 87.811504 58.052733
L 89.392654 107.739111
L 90.973805 149.122681
L 92.554955 183.694878
L 94.136105 212.642288
L 95.717256 236.917678
L 97.298406 257.292398
L 98.879556 274.395572
L 100.460707 288.743767
L 102.041857 300.76371
L 103.623008 310.809867
L 105.204158 319.178159
L 106.785308 326.116766
L 108.366459 331.834712
L 109.947609 336.508711
L 111.52876 340.288695
L 113.10991 343.302284
L 114.69106 345.658423
L 116.272211 347.450373
L 117.853361 348.758162
L 119.434511 349.650622
L 121.015662 350.187073
L 122.596812 350.418735
L 124.177963 350.389904
L 125.759113 350.138951
L 127.340263 349.699151
L 129.711989 348.747518
L 132.083714 347.517199
L 135.246015 345.556558
L 139.198891 342.760169
L 144.732918 338.505158
L 157.382121 328.669251
L 162.916147 324.664478
L 168.450173 320.939445
L 173.193624 317.988127
L 177.937076 315.26457
L 182.680527 312.766338
L 187.423978 310.486721
L 192.958004 308.090848
L 198.49203 305.96219
L 204.026057 304.08193
L 209.560083 302.430981
L 215.094109 300.990639
L 221.418711 299.579479
L 227.743313 298.394916
L 234.858489 297.304348
L 241.973666 296.441275
L 249.879418 295.716488
L 257.78517 295.206685
L 266.481497 294.86009
L 275.968399 294.700347
L 286.245877 294.743178
L 298.104505 295.021873
L 311.544283 295.575115
L 326.565211 296.423724
L 343.957866 297.630201
L 366.093971 299.402837
L 395.345253 301.984236
L 465.706445 308.508089
L 515.512682 312.977751
L 558.203742 316.585001
L 577 318.099127
L 577 318.099127
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_6">
<path clip-path="url(#p54a63d19e2)" d="M 87.478208 -1
L 88.602079 38.910046
L 90.183229 86.644501
L 91.76438 126.621314
L 93.34553 160.204475
L 94.926681 188.484901
L 96.507831 212.342768
L 98.088981 232.493817
L 99.670132 249.524214
L 101.251282 263.917099
L 102.832432 276.073023
L 104.413583 286.325834
L 105.994733 294.955141
L 107.575884 302.196169
L 109.157034 308.247612
L 110.738184 313.277936
L 112.319335 317.430471
L 113.900485 320.827544
L 115.481635 323.573868
L 117.062786 325.75931
L 118.643936 327.461191
L 120.225087 328.746185
L 121.806237 329.671902
L 123.387387 330.288219
L 124.968538 330.638382
L 126.549688 330.759956
L 128.130839 330.685604
L 129.711989 330.443772
L 132.083714 329.820354
L 134.45544 328.945913
L 137.617741 327.487767
L 141.570617 325.34304
L 147.104643 322.007903
L 162.125572 312.757678
L 168.450173 309.207322
L 173.9842 306.358645
L 179.518226 303.766445
L 185.052252 301.432118
L 190.586279 299.348963
L 196.120305 297.505434
L 201.654331 295.887279
L 207.188358 294.478958
L 213.512959 293.105976
L 219.837561 291.962918
L 226.952737 290.924065
L 234.067914 290.118375
L 241.973666 289.463796
L 249.879418 289.03037
L 258.575745 288.773902
L 268.062647 288.718395
L 278.340125 288.879387
L 290.198753 289.298958
L 303.638531 290.014987
L 318.659459 291.046348
L 336.842689 292.530785
L 359.769369 294.644912
L 392.182952 297.879848
L 491.004851 307.86823
L 531.324186 311.651382
L 570.06237 315.061204
L 577 315.648041
L 577 315.648041
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_7">
<path clip-path="url(#p54a63d19e2)" d="M 88.759796 -1
L 90.183229 43.921605
L 91.76438 86.062794
L 93.34553 121.601607
L 94.926681 151.657765
L 96.507831 177.135181
L 98.088981 198.769333
L 99.670132 217.162934
L 101.251282 232.813099
L 102.832432 246.132262
L 104.413583 257.464442
L 105.994733 267.098004
L 107.575884 275.275748
L 109.157034 282.202962
L 110.738184 288.053871
L 112.319335 292.976861
L 113.900485 297.09872
L 115.481635 300.528101
L 117.062786 303.358376
L 118.643936 305.669986
L 120.225087 307.532397
L 121.806237 309.005721
L 123.387387 310.142083
L 124.968538 310.986762
L 126.549688 311.579156
L 128.130839 311.953592
L 129.711989 312.140027
L 132.083714 312.123508
L 134.45544 311.817013
L 136.827166 311.281926
L 139.989466 310.298619
L 143.942342 308.765455
L 148.685793 306.65767
L 170.031324 296.805095
L 176.355925 294.284805
L 181.889951 292.302074
L 187.423978 290.531622
L 192.958004 288.969801
L 199.282606 287.429495
L 205.607207 286.134042
L 211.931809 285.064566
L 219.046985 284.107202
L 226.162162 283.383802
L 234.067914 282.822983
L 241.973666 282.486317
L 250.669993 282.339708
L 260.156895 282.407576
L 270.434373 282.705343
L 282.293001 283.285167
L 295.732779 284.183801
L 310.753708 285.417889
L 328.936937 287.142583
L 352.654193 289.633551
L 389.811227 293.793299
L 457.800693 301.40572
L 496.538877 305.497507
L 532.905336 309.115061
L 569.271795 312.505552
L 577 313.196956
L 577 313.196956
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_8">
<path clip-path="url(#p54a63d19e2)" d="M 90.114092 -1
L 90.973805 24.284932
L 92.554955 65.025267
L 94.136105 99.559987
L 95.717256 128.920212
L 97.298406 153.942157
L 98.879556 175.309108
L 100.460707 193.583208
L 102.041857 209.229818
L 103.623008 222.636357
L 105.204158 234.127036
L 106.785308 243.974456
L 108.366459 252.408825
L 109.947609 259.625337
L 111.52876 265.790106
L 113.10991 271.044986
L 114.69106 275.511497
L 116.272211 279.294044
L 117.853361 282.482572
L 119.434511 285.154762
L 121.015662 287.377859
L 122.596812 289.210198
L 124.177963 290.702488
L 125.759113 291.898883
L 127.340263 292.837901
L 128.921414 293.553189
L 130.502564 294.074182
L 132.083714 294.426662
L 134.45544 294.688112
L 136.827166 294.68565
L 139.198891 294.472841
L 142.361192 293.937139
L 146.314068 292.977168
L 151.057519 291.557893
L 158.963271 288.909529
L 170.031324 285.242415
L 177.1465 283.13155
L 183.471102 281.4762
L 189.795703 280.042677
L 196.120305 278.830415
L 202.444906 277.831009
L 209.560083 276.945074
L 216.67526 276.290868
L 224.581012 275.808355
L 232.486764 275.55373
L 241.183091 275.502746
L 250.669993 275.681394
L 260.947471 276.105911
L 272.015523 276.782957
L 284.664726 277.778558
L 299.685655 279.194374
L 317.868884 281.14813
L 341.58614 283.941371
L 381.905475 288.957241
L 436.455163 295.692061
L 472.821622 299.949287
L 506.816355 303.706074
L 540.811088 307.235691
L 574.805821 310.540143
L 577 310.745871
L 577 310.745871
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_9">
<path clip-path="url(#p54a63d19e2)" d="M 91.55334 -1
L 92.554955 25.46873
L 94.136105 61.865887
L 95.717256 92.921056
L 97.298406 119.492076
L 98.879556 142.280286
L 100.460707 161.863022
L 102.041857 178.71852
L 103.623008 193.245187
L 105.204158 205.776662
L 106.785308 216.593685
L 108.366459 225.93353
L 109.947609 233.997546
L 111.52876 240.957243
L 113.10991 246.95922
L 114.69106 252.129189
L 116.272211 256.575268
L 117.853361 260.390709
L 119.434511 263.656142
L 121.015662 266.441454
L 122.596812 268.807353
L 124.177963 270.806682
L 125.759113 272.485527
L 127.340263 273.884151
L 128.921414 275.037786
L 130.502564 275.977309
L 132.083714 276.729816
L 134.45544 277.559212
L 136.827166 278.089374
L 139.198891 278.377064
L 141.570617 278.469299
L 144.732918 278.35467
L 148.685793 277.931355
L 153.429245 277.15472
L 160.544421 275.709957
L 176.355925 272.42245
L 184.261677 271.052187
L 191.376854 270.043021
L 198.49203 269.254354
L 205.607207 268.680423
L 213.512959 268.278694
L 221.418711 268.103295
L 230.115038 268.142471
L 239.60194 268.425791
L 249.879418 268.972017
L 260.947471 269.789078
L 273.596674 270.953819
L 287.827027 272.488224
L 305.219681 274.591823
L 328.146362 277.602497
L 370.046847 283.37893
L 416.690783 289.734516
L 450.685516 294.140712
L 482.308524 298.018829
L 513.931532 301.671658
L 545.554539 305.10014
L 577 308.294785
L 577 308.294785
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_10">
<path clip-path="url(#p54a63d19e2)" d="M 93.075401 -1
L 94.136105 24.171787
L 95.717256 56.921901
L 97.298406 85.041996
L 98.879556 109.251465
L 100.460707 130.142836
L 102.041857 148.207223
L 103.623008 163.854017
L 105.204158 177.426288
L 106.785308 189.212915
L 108.366459 199.458234
L 109.947609 208.369755
L 111.52876 216.12438
L 113.10991 222.873454
L 114.69106 228.74688
L 116.272211 233.856492
L 117.853361 238.298846
L 119.434511 242.157522
L 121.015662 245.505049
L 122.596812 248.404507
L 124.177963 250.910877
L 125.759113 253.072172
L 127.340263 254.930402
L 128.921414 256.522384
L 130.502564 257.880436
L 132.083714 259.032971
L 134.45544 260.430312
L 136.827166 261.493099
L 139.198891 262.281288
L 141.570617 262.844718
L 144.732918 263.317048
L 147.895218 263.542664
L 151.848094 263.572112
L 156.591545 263.357592
L 162.916147 262.832483
L 186.633403 260.651283
L 195.32973 260.185519
L 203.235482 259.976702
L 211.931809 259.977961
L 220.628136 260.203436
L 230.115038 260.677007
L 240.392516 261.420706
L 251.460568 262.444596
L 264.109771 263.840739
L 279.1307 265.734755
L 297.313929 268.263804
L 322.612335 272.028342
L 411.156757 285.385859
L 441.989189 289.717219
L 471.240471 293.604568
L 500.491753 297.269539
L 530.533611 300.805774
L 561.366043 304.204973
L 577 305.8437
L 577 305.8437
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_11">
<path clip-path="url(#p54a63d19e2)" d="M 94.690049 -1
L 95.717256 20.922745
L 97.298406 50.591916
L 98.879556 76.222643
L 100.460707 98.42265
L 102.041857 117.695926
L 103.623008 134.462847
L 105.204158 149.075914
L 106.785308 161.832145
L 108.366459 172.982939
L 109.947609 182.741963
L 111.52876 191.291517
L 113.10991 198.787689
L 114.69106 205.364571
L 116.272211 211.137716
L 117.853361 216.206983
L 119.434511 220.658902
L 121.015662 224.568645
L 122.596812 228.001662
L 124.177963 231.015071
L 125.759113 233.658816
L 127.340263 235.976652
L 128.921414 238.006981
L 130.502564 239.783564
L 132.87429 242.036713
L 135.246015 243.870955
L 137.617741 245.357669
L 139.989466 246.556281
L 142.361192 247.516379
L 144.732918 248.279426
L 147.895218 249.049497
L 151.057519 249.597616
L 155.010395 250.050765
L 159.753846 250.357571
L 166.078448 250.5247
L 178.727651 250.561945
L 191.376854 250.690874
L 201.654331 251.030841
L 211.141234 251.562149
L 221.418711 252.365202
L 232.486764 253.466283
L 244.345392 254.874768
L 257.78517 256.698003
L 273.596674 259.070264
L 294.151629 262.391032
L 328.936937 268.276222
L 373.999723 275.849334
L 404.04158 280.669197
L 431.711712 284.888762
L 459.381843 288.881419
L 487.051975 292.645171
L 514.722107 296.185703
L 543.182814 299.60498
L 572.434096 302.8979
L 577 303.392615
L 577 303.392615
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_12">
<path clip-path="url(#p54a63d19e2)" d="M 96.405317 -1
L 97.298406 16.141835
L 98.879556 43.193822
L 100.460707 66.702464
L 102.041857 87.184628
L 103.623008 105.071677
L 105.204158 120.72554
L 106.785308 134.451375
L 108.366459 146.507643
L 109.947609 157.114172
L 111.52876 166.458654
L 113.10991 174.701923
L 114.69106 181.982263
L 116.272211 188.41894
L 117.853361 194.11512
L 119.434511 199.160282
L 121.015662 203.63224
L 122.596812 207.598817
L 124.177963 211.119266
L 125.759113 214.24546
L 127.340263 217.022902
L 128.921414 219.491578
L 131.293139 222.691508
L 133.664865 225.376753
L 136.03659 227.631884
L 138.408316 229.527363
L 140.780042 231.122065
L 143.151767 232.465298
L 145.523493 233.598451
L 148.685793 234.841882
L 151.848094 235.840835
L 155.80097 236.82696
L 160.544421 237.730786
L 166.078448 238.52889
L 173.9842 239.400216
L 210.350658 243.059481
L 222.999861 244.715859
L 236.43964 246.71477
L 251.460568 249.183114
L 269.643798 252.404587
L 296.523354 257.420931
L 355.816493 268.54311
L 383.486625 273.476216
L 409.575606 277.903921
L 434.874012 281.97494
L 460.172419 285.824465
L 486.2614 289.567246
L 513.140956 293.192313
L 540.811088 296.692566
L 569.271795 300.063952
L 577 300.94153
L 577 300.94153
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_13">
<path clip-path="url(#p54a63d19e2)" d="M 98.237262 -1
L 99.670132 22.995258
L 101.251282 46.189099
L 102.832432 66.487696
L 104.413583 84.296091
L 105.994733 99.955178
L 107.575884 113.753222
L 109.157034 125.935058
L 110.738184 136.709476
L 112.319335 146.255204
L 113.900485 154.725771
L 115.481635 162.253497
L 117.062786 168.95277
L 118.643936 174.922758
L 120.225087 180.249668
L 121.806237 185.00863
L 123.387387 189.265269
L 124.968538 193.077042
L 126.549688 196.494356
L 128.921414 200.976175
L 131.293139 204.796884
L 133.664865 208.062632
L 136.03659 210.861785
L 138.408316 213.268142
L 140.780042 215.343515
L 143.151767 217.139815
L 145.523493 218.700742
L 148.685793 220.478724
L 151.848094 221.975197
L 155.010395 223.247901
L 158.963271 224.593888
L 163.706722 225.94141
L 169.240748 227.257532
L 176.355925 228.697742
L 187.423978 230.666323
L 218.25641 236.040499
L 235.649064 239.361636
L 256.204019 243.533025
L 289.408177 250.545387
L 329.727512 259.005508
L 356.607069 264.411358
L 381.1149 269.113672
L 404.832155 273.439146
L 428.549411 277.538148
L 452.266667 281.413518
L 476.774498 285.191082
L 502.072904 288.860226
L 528.161885 292.413551
L 555.041441 295.846297
L 577 298.490444
L 577 298.490444
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_14">
<path clip-path="url(#p54a63d19e2)" d="M 100.193881 -1
L 101.251282 15.085099
L 102.832432 36.546935
L 104.413583 55.434699
L 105.994733 72.09804
L 107.575884 86.832801
L 109.157034 99.890407
L 110.738184 111.48541
L 112.319335 121.801594
L 113.900485 130.996946
L 115.481635 139.20773
L 117.062786 146.551836
L 118.643936 153.131553
L 120.225087 159.03588
L 121.806237 164.342448
L 123.387387 169.119133
L 125.759113 175.418748
L 128.130839 180.829507
L 130.502564 185.492945
L 132.87429 189.526538
L 135.246015 193.028153
L 137.617741 196.07961
L 139.989466 198.749527
L 142.361192 201.09562
L 144.732918 203.166561
L 147.895218 205.569998
L 151.057519 207.63734
L 154.21982 209.43345
L 158.172696 211.375924
L 162.125572 213.056464
L 166.869023 214.813897
L 172.403049 216.606738
L 179.518226 218.641601
L 189.005128 221.081266
L 204.026057 224.675073
L 253.041719 236.301992
L 302.05738 247.98705
L 327.355787 253.773035
L 350.282467 258.792295
L 372.418572 263.412573
L 394.554678 267.802545
L 416.690783 271.962517
L 438.826888 275.898174
L 461.753569 279.747447
L 485.470825 283.499013
L 509.978656 287.144394
L 535.277062 290.677564
L 561.366043 294.094572
L 577 296.039359
L 577 296.039359
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_15">
<path clip-path="url(#p54a63d19e2)" d="M 102.28355 -1
L 103.623008 16.898167
L 105.204158 35.674417
L 106.785308 52.309064
L 108.366459 67.081757
L 109.947609 80.230799
L 111.52876 91.960064
L 113.10991 102.444625
L 114.69106 111.835337
L 116.272211 120.262612
L 117.853361 127.83953
L 119.434511 134.664422
L 121.015662 140.823025
L 123.387387 148.972998
L 125.759113 156.005392
L 128.130839 162.097495
L 130.502564 167.396073
L 132.87429 172.023146
L 135.246015 176.080553
L 137.617741 179.653591
L 139.989466 182.813943
L 142.361192 185.622033
L 144.732918 188.128939
L 147.104643 190.377949
L 150.266944 193.038216
L 153.429245 195.377216
L 156.591545 197.453626
L 160.544421 199.751616
L 164.497297 201.787283
L 169.240748 203.963961
L 174.774775 206.230013
L 181.099376 208.564024
L 189.005128 211.226534
L 199.282606 214.432199
L 214.303534 218.852125
L 238.02079 225.565396
L 265.690922 233.175519
L 290.198753 239.688986
L 312.334858 245.338328
L 332.889813 250.357294
L 353.444768 255.144314
L 373.999723 259.695311
L 394.554678 264.012575
L 415.109633 268.102654
L 436.455163 272.119461
L 457.800693 275.913197
L 479.936798 279.625511
L 502.863479 283.247432
L 526.580735 286.772042
L 551.879141 290.301106
L 577 293.588274
L 577 293.588274
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_16">
<path clip-path="url(#p54a63d19e2)" d="M 104.519525 -1
L 105.994733 16.383765
L 107.575884 32.991959
L 109.157034 47.801106
L 110.738184 61.037279
L 112.319335 72.894375
L 113.900485 83.539297
L 115.481635 93.116196
L 117.062786 101.749967
L 118.643936 109.549144
L 121.015662 119.886621
L 123.387387 128.826862
L 125.759113 136.592037
L 128.130839 143.365482
L 130.502564 149.2992
L 132.87429 154.519755
L 135.246015 159.132952
L 137.617741 163.227571
L 139.989466 166.878358
L 142.361192 170.148447
L 144.732918 173.091317
L 147.104643 175.752398
L 150.266944 178.928202
L 153.429245 181.747632
L 156.591545 184.272833
L 160.544421 187.091892
L 164.497297 189.608998
L 169.240748 192.317175
L 173.9842 194.761263
L 179.518226 197.360389
L 185.842827 200.084708
L 193.748579 203.229277
L 203.235482 206.745476
L 215.094109 210.888661
L 230.115038 215.88422
L 247.507692 221.429617
L 266.481497 227.242247
L 285.455301 232.819545
L 304.429106 238.158018
L 322.612335 243.045811
L 340.795565 247.709292
L 358.978794 252.151021
L 377.952599 256.555341
L 396.926403 260.732699
L 416.690783 264.853717
L 436.455163 268.751947
L 457.010118 272.583598
L 478.355648 276.337743
L 500.491753 280.00547
L 523.418434 283.579729
L 547.13569 287.055149
L 572.434096 290.533162
L 577 291.137188
L 577 291.137188
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_17">
<path clip-path="url(#p54a63d19e2)" d="M 106.920021 -1
L 108.366459 14.131166
L 109.947609 28.975216
L 111.52876 42.294338
L 113.10991 54.273093
L 114.69106 65.07072
L 116.272211 74.82506
L 118.643936 87.757939
L 121.015662 98.950216
L 123.387387 108.680726
L 125.759113 117.178681
L 128.130839 124.63347
L 130.502564 131.202327
L 132.87429 137.016363
L 135.246015 142.185351
L 137.617741 146.801551
L 139.989466 150.942774
L 142.361192 154.67486
L 144.732918 158.053695
L 147.104643 161.126848
L 150.266944 164.818188
L 153.429245 168.118048
L 156.591545 171.09204
L 159.753846 173.793879
L 163.706722 176.854924
L 167.659598 179.62865
L 172.403049 182.654246
L 177.1465 185.41804
L 182.680527 188.385356
L 189.005128 191.517068
L 196.120305 194.792833
L 204.816632 198.536884
L 215.094109 202.697572
L 226.952737 207.243318
L 240.392516 212.148926
L 255.413444 217.384056
L 271.224948 222.649999
L 287.036452 227.684431
L 303.638531 232.73296
L 320.24061 237.546472
L 336.842689 242.132863
L 354.235343 246.703135
L 371.627997 251.043619
L 389.811227 255.347599
L 407.994456 259.425304
L 426.968261 263.453088
L 446.73264 267.417354
L 467.287595 271.306554
L 488.633125 275.111104
L 510.769231 278.823268
L 533.695911 282.437002
L 557.413167 285.947795
L 577 288.686103
L 577 288.686103
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_18">
<path clip-path="url(#p54a63d19e2)" d="M 109.497486 -1
L 110.738184 10.589147
L 112.319335 23.987156
L 113.900485 36.081647
L 116.272211 52.106284
L 118.643936 65.966734
L 121.015662 78.013811
L 123.387387 88.534591
L 125.759113 97.765325
L 128.130839 105.901458
L 130.502564 113.105455
L 132.87429 119.512971
L 135.246015 125.237751
L 137.617741 130.375532
L 139.989466 135.007189
L 142.361192 139.201273
L 144.732918 143.016073
L 147.104643 146.501298
L 150.266944 150.708174
L 153.429245 154.488464
L 156.591545 157.911247
L 159.753846 161.033263
L 163.706722 164.583303
L 167.659598 167.809929
L 171.612474 170.771839
L 176.355925 174.041856
L 181.889951 177.543294
L 187.423978 180.778575
L 193.748579 184.221723
L 200.863756 187.843191
L 208.769508 191.6255
L 218.25641 195.906306
L 228.533888 200.297049
L 240.392516 205.1101
L 253.041719 209.996895
L 266.481497 214.948094
L 280.71185 219.947899
L 294.942204 224.717642
L 309.963132 229.51856
L 324.984061 234.092596
L 340.795565 238.675283
L 356.607069 243.032549
L 373.209148 247.378472
L 390.601802 251.69414
L 407.994456 255.781939
L 426.177685 259.827537
L 445.15149 263.817161
L 464.91587 267.738923
L 485.470825 271.582774
L 506.816355 275.340414
L 528.95246 279.005176
L 551.879141 282.57189
L 575.596396 286.036735
L 577 286.235018
L 577 286.235018
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_19">
<path clip-path="url(#p54a63d19e2)" d="M 112.258247 -1
L 113.10991 6.101562
L 115.481635 23.978894
L 117.853361 39.472077
L 120.225087 52.96694
L 122.596812 64.778899
L 124.968538 75.167322
L 127.340263 84.346653
L 129.711989 92.49508
L 132.083714 99.761359
L 134.45544 106.270207
L 136.827166 112.126616
L 139.198891 117.419302
L 141.570617 122.223495
L 143.942342 126.603199
L 146.314068 130.613042
L 149.476369 135.463997
L 152.638669 139.832777
L 155.80097 143.795581
L 158.963271 147.415119
L 162.125572 150.743205
L 166.078448 154.558222
L 170.031324 158.052934
L 173.9842 161.282049
L 178.727651 164.867621
L 183.471102 168.193623
L 189.005128 171.807603
L 195.32973 175.654985
L 202.444906 179.696684
L 210.350658 183.906211
L 219.046985 188.265598
L 228.533888 192.761314
L 238.811365 197.380925
L 249.879418 202.110841
L 261.738046 206.935151
L 274.387249 211.835368
L 287.827027 216.790801
L 301.266805 221.508783
L 315.497159 226.264241
L 329.727512 230.789084
L 344.748441 235.331069
L 359.769369 239.647466
L 375.580873 243.962699
L 392.182952 248.257878
L 408.785031 252.327476
L 426.177685 256.365364
L 444.360915 260.357289
L 463.334719 264.290776
L 483.099099 268.155102
L 503.654054 271.941229
L 524.999584 275.641712
L 547.13569 279.250585
L 570.06237 282.763237
L 577 283.783933
L 577 283.783933
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_20">
<path clip-path="url(#p54a63d19e2)" d="M 115.227317 -1
L 117.062786 12.14623
L 119.434511 27.171323
L 121.806237 40.345357
L 124.177963 51.952821
L 126.549688 62.228756
L 128.921414 71.368356
L 131.293139 79.534517
L 133.664865 86.863783
L 136.03659 93.471097
L 138.408316 99.453594
L 140.780042 104.893664
L 143.151767 109.861433
L 145.523493 114.416781
L 148.685793 119.936621
L 151.848094 124.915727
L 155.010395 129.437874
L 158.172696 133.572115
L 161.334997 137.375608
L 165.287872 141.736455
L 169.240748 145.730033
L 173.193624 149.417166
L 177.937076 153.505554
L 182.680527 157.29011
L 188.214553 161.390994
L 193.748579 165.214169
L 200.073181 169.306094
L 207.188358 173.621033
L 215.094109 178.124305
L 222.999861 182.37623
L 231.696188 186.811861
L 241.183091 191.406527
L 251.460568 196.137186
L 262.528621 200.981182
L 274.387249 205.915558
L 286.245877 210.611737
L 298.89508 215.381564
L 312.334858 220.200352
L 325.774636 224.781625
L 340.00499 229.39204
L 354.235343 233.772259
L 369.256272 238.163188
L 385.067775 242.544863
L 400.879279 246.697186
L 417.481358 250.827731
L 434.874012 254.921029
L 453.057242 258.963396
L 472.031046 262.94292
L 491.004851 266.697592
L 510.769231 270.388285
L 531.324186 274.006821
L 553.460291 277.673496
L 576.386972 281.240524
L 577 281.332847
L 577 281.332847
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_21">
<path clip-path="url(#p54a63d19e2)" d="M 118.406512 -1
L 120.225087 10.539364
L 122.596812 23.973208
L 124.968538 35.864082
L 127.340263 46.439153
L 129.711989 55.887589
L 132.083714 64.367667
L 134.45544 72.012406
L 136.827166 78.934065
L 139.198891 85.22775
L 141.570617 90.974334
L 143.942342 96.242823
L 146.314068 101.092291
L 149.476369 106.993076
L 152.638669 112.339581
L 155.80097 117.215187
L 158.963271 121.688862
L 162.125572 125.817901
L 166.078448 130.566602
L 170.031324 134.927574
L 173.9842 138.962572
L 178.727651 143.444039
L 183.471102 147.59679
L 188.214553 151.475233
L 193.748579 155.710392
L 199.282606 159.684226
L 205.607207 163.958709
L 212.722384 168.483203
L 220.628136 173.216428
L 228.533888 177.689845
L 237.230215 182.355772
L 246.717117 187.183783
L 256.994595 192.145745
L 267.272072 196.861497
L 278.340125 201.693932
L 290.198753 206.615672
L 302.05738 211.296194
L 314.706584 216.044884
L 327.355787 220.56124
L 340.795565 225.12427
L 355.025918 229.710453
L 369.256272 234.062627
L 384.2772 238.421073
L 400.088704 242.766568
L 415.900208 246.881701
L 432.502287 250.972996
L 449.894941 255.025697
L 468.07817 259.0268
L 487.051975 262.965017
L 506.816355 266.830716
L 527.37131 270.615835
L 548.71684 274.313776
L 570.852945 277.919293
L 577 278.881762
L 577 278.881762
" style="fill:none;stroke:#cccccc;stroke-linecap:square;"/>
</g>
<g id="line2d_22">
<path clip-path="url(#p54a63d19e2)" d="M 87.478208 -1
L 88.602079 38.910046
L 90.183229 86.644501
L 91.76438 126.621314
L 93.34553 160.204475
L 94.926681 188.484901
L 96.507831 212.342768
L 98.088981 232.493817
L 99.670132 249.524214
L 101.251282 263.917099
L 102.832432 276.073023
L 104.413583 286.325834
L 105.994733 294.955141
L 107.575884 302.196169
L 109.157034 308.247612
L 110.738184 313.277936
L 112.319335 317.430471
L 113.900485 320.827544
L 115.481635 323.573868
L 117.062786 325.75931
L 118.643936 327.461191
L 120.225087 328.746185
L 121.806237 329.671902
L 123.387387 330.288219
L 124.968538 330.638382
L 126.549688 330.759956
L 128.130839 330.685604
L 129.711989 330.443772
L 132.083714 329.820354
L 134.45544 328.945913
L 137.617741 327.487767
L 141.570617 325.34304
L 147.104643 322.007903
L 162.125572 312.757678
L 168.450173 309.207322
L 173.9842 306.358645
L 179.518226 303.766445
L 185.052252 301.432118
L 190.586279 299.348963
L 196.120305 297.505434
L 201.654331 295.887279
L 207.188358 294.478958
L 213.512959 293.105976
L 219.837561 291.962918
L 226.952737 290.924065
L 234.067914 290.118375
L 241.973666 289.463796
L 249.879418 289.03037
L 258.575745 288.773902
L 268.062647 288.718395
L 278.340125 288.879387
L 290.198753 289.298958
L 303.638531 290.014987
L 318.659459 291.046348
L 336.842689 292.530785
L 359.769369 294.644912
L 392.182952 297.879848
L 491.004851 307.86823
L 531.324186 311.651382
L 570.06237 315.061204
L 577 315.648041
L 577 315.648041
" style="fill:none;stroke:#0000ff;stroke-linecap:square;"/>
</g>
<g id="line2d_23">
<path clip-path="url(#p54a63d19e2)" d="M 94.690049 -1
L 95.717256 20.922745
L 97.298406 50.591916
L 98.879556 76.222643
L 100.460707 98.42265
L 102.041857 117.695926
L 103.623008 134.462847
L 105.204158 149.075914
L 106.785308 161.832145
L 108.366459 172.982939
L 109.947609 182.741963
L 111.52876 191.291517
L 113.10991 198.787689
L 114.69106 205.364571
L 116.272211 211.137716
L 117.853361 216.206983
L 119.434511 220.658902
L 121.015662 224.568645
L 122.596812 228.001662
L 124.177963 231.015071
L 125.759113 233.658816
L 127.340263 235.976652
L 128.921414 238.006981
L 130.502564 239.783564
L 132.87429 242.036713
L 135.246015 243.870955
L 137.617741 245.357669
L 139.989466 246.556281
L 142.361192 247.516379
L 144.732918 248.279426
L 147.895218 249.049497
L 151.057519 249.597616
L 155.010395 250.050765
L 159.753846 250.357571
L 166.078448 250.5247
L 178.727651 250.561945
L 191.376854 250.690874
L 201.654331 251.030841
L 211.141234 251.562149
L 221.418711 252.365202
L 232.486764 253.466283
L 244.345392 254.874768
L 257.78517 256.698003
L 273.596674 259.070264
L 294.151629 262.391032
L 328.936937 268.276222
L 373.999723 275.849334
L 404.04158 280.669197
L 431.711712 284.888762
L 459.381843 288.881419
L 487.051975 292.645171
L 514.722107 296.185703
L 543.182814 299.60498
L 572.434096 302.8979
L 577 303.392615
L 577 303.392615
" style="fill:none;stroke:#008000;stroke-linecap:square;"/>
</g>
<g id="line2d_24">
<path clip-path="url(#p54a63d19e2)" d="M 104.519525 -1
L 105.994733 16.383765
L 107.575884 32.991959
L 109.157034 47.801106
L 110.738184 61.037279
L 112.319335 72.894375
L 113.900485 83.539297
L 115.481635 93.116196
L 117.062786 101.749967
L 118.643936 109.549144
L 121.015662 119.886621
L 123.387387 128.826862
L 125.759113 136.592037
L 128.130839 143.365482
L 130.502564 149.2992
L 132.87429 154.519755
L 135.246015 159.132952
L 137.617741 163.227571
L 139.989466 166.878358
L 142.361192 170.148447
L 144.732918 173.091317
L 147.104643 175.752398
L 150.266944 178.928202
L 153.429245 181.747632
L 156.591545 184.272833
L 160.544421 187.091892
L 164.497297 189.608998
L 169.240748 192.317175
L 173.9842 194.761263
L 179.518226 197.360389
L 185.842827 200.084708
L 193.748579 203.229277
L 203.235482 206.745476
L 215.094109 210.888661
L 230.115038 215.88422
L 247.507692 221.429617
L 266.481497 227.242247
L 285.455301 232.819545
L 304.429106 238.158018
L 322.612335 243.045811
L 340.795565 247.709292
L 358.978794 252.151021
L 377.952599 256.555341
L 396.926403 260.732699
L 416.690783 264.853717
L 436.455163 268.751947
L 457.010118 272.583598
L 478.355648 276.337743
L 500.491753 280.00547
L 523.418434 283.579729
L 547.13569 287.055149
L 572.434096 290.533162
L 577 291.137188
L 577 291.137188
" style="fill:none;stroke:#ff0000;stroke-linecap:square;"/>
</g>
<g id="line2d_25">
<defs>
<path d="M 0 3
C 0.795609 3 1.55874 2.683901 2.12132 2.12132
C 2.683901 1.55874 3 0.795609 3 0
C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132
C 1.55874 -2.683901 0.795609 -3 0 -3
C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132
C -2.683901 -1.55874 -3 -0.795609 -3 0
C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132
C -1.55874 2.683901 -0.795609 3 0 3
z
" id="m279815fb3d" style="stroke:#000000;stroke-width:0.5;"/>
</defs>
<g clip-path="url(#p54a63d19e2)">
<use style="fill:#008000;stroke:#000000;stroke-width:0.5;" x="175.015385" xlink:href="#m279815fb3d" y="250.56"/>
</g>
</g>
<g id="line2d_26">
<path clip-path="url(#p54a63d19e2)" d="M 113.014755 433
L 114.69106 416.18
L 117.062786 394.797289
L 119.434511 375.914886
L 121.806237 359.24112
L 124.177963 344.52156
L 126.549688 331.53376
L 128.921414 320.082817
L 131.293139 309.997607
L 133.664865 301.127588
L 136.03659 293.340077
L 138.408316 286.517917
L 140.780042 280.557486
L 143.151767 275.36698
L 145.523493 270.864939
L 147.895218 266.97897
L 150.266944 263.644651
L 152.638669 260.804568
L 155.010395 258.407492
L 157.382121 256.407651
L 159.753846 254.764104
L 162.125572 253.440186
L 164.497297 252.40303
L 166.869023 251.623139
L 169.240748 251.074021
L 171.612474 250.731853
L 173.9842 250.575202
L 177.1465 250.621828
L 180.308801 250.923583
L 183.471102 251.445095
L 187.423978 252.359375
L 191.376854 253.51723
L 196.120305 255.166922
L 201.654331 257.371863
L 207.978933 260.16377
L 215.884685 263.926153
L 226.952737 269.465977
L 253.832294 283.002194
L 265.690922 288.682148
L 276.758974 293.735767
L 287.036452 298.195323
L 297.313929 302.4245
L 307.591407 306.424483
L 317.868884 310.200841
L 328.936937 314.027161
L 340.00499 317.616199
L 351.073042 320.98144
L 362.93167 324.354418
L 374.790298 327.503188
L 387.439501 330.633047
L 400.879279 333.720151
L 414.319058 336.582139
L 428.549411 339.388503
L 443.57034 342.123454
L 459.381843 344.774067
L 475.983922 347.330145
L 493.376577 349.784025
L 511.559806 352.130342
L 531.324186 354.454549
L 551.879141 356.650228
L 574.015246 358.792117
L 577 359.064772
L 577 359.064772
" style="fill:none;stroke:#000000;stroke-dasharray:6,6;stroke-dashoffset:0;"/>
</g>
<g id="line2d_27">
<path clip-path="url(#p54a63d19e2)" d="M 98.330811 319.059074
L 98.772178 317.939375
L 99.222523 316.808559
L 99.682192 315.666592
L 100.151552 314.513441
L 100.630992 313.349074
L 101.120924 312.173457
L 101.621789 310.986559
L 102.134053 309.788347
L 102.658215 308.57879
L 103.194808 307.357856
L 103.744402 306.125514
L 104.307606 304.881733
L 104.885077 303.626482
L 105.477518 302.359732
L 106.085687 301.081451
L 106.710405 299.79161
L 107.352557 298.49018
L 108.013103 297.17713
L 108.693089 295.852433
L 109.393652 294.516059
L 110.116035 293.167979
L 110.861601 291.808165
L 111.631849 290.436589
L 112.428431 289.053223
L 113.253178 287.658039
L 114.108122 286.251011
L 114.995534 284.832111
L 115.917961 283.401311
L 116.878271 281.958586
L 117.879716 280.503909
L 118.926005 279.037254
L 120.021394 277.558594
L 121.170804 276.067903
L 122.379976 274.565158
L 123.655667 273.050331
L 125.005916 271.523397
L 126.440404 269.984333
L 127.970956 268.433113
L 129.612254 266.869713
L 131.382885 265.294108
L 133.306941 263.706274
L 135.416561 262.106188
L 137.756208 260.493826
L 140.390366 258.869164
L 143.418762 257.232179
L 147.010595 255.582848
L 151.498484 253.921149
L 157.748677 252.247058
L 174.672618 250.560553
L 175.359389 250.560553
L 196.097149 252.247058
L 206.22114 253.921149
L 214.644022 255.582848
L 222.233297 257.232179
L 229.322866 258.869164
L 236.083242 260.493826
L 242.6155 262.106188
L 248.985508 263.706274
L 255.239146 265.294108
L 261.410006 266.869713
L 267.523672 268.433113
L 273.600261 269.984333
L 279.656024 271.523397
L 285.704396 273.050331
L 291.756711 274.565158
L 297.822704 276.067903
L 303.910873 277.558594
L 310.028746 279.037254
L 316.183079 280.503909
L 322.380012 281.958586
L 328.625189 283.401311
L 334.923847 284.832111
L 341.280898 286.251011
L 347.700984 287.658039
L 354.18853 289.053223
L 360.747783 290.436589
L 367.382849 291.808165
L 374.097717 293.167979
L 380.896291 294.516059
L 387.782405 295.852433
L 394.759843 297.17713
L 401.832356 298.49018
L 409.003676 299.79161
L 416.27753 301.081451
L 423.657648 302.359732
L 431.147775 303.626482
L 438.751684 304.881733
L 446.473177 306.125514
L 454.316102 307.357856
L 462.284354 308.57879
L 470.381886 309.788347
L 478.612715 310.986559
L 486.980928 312.173457
L 495.49069 313.349074
L 504.146248 314.513441
L 512.951941 315.666592
L 521.912203 316.808559
L 531.031569 317.939375
L 540.314685 319.059074
" style="fill:none;stroke:#000000;stroke-linecap:square;"/>
</g>
<g id="line2d_28">
<path clip-path="url(#p54a63d19e2)" d="M 106.922542 299.358948
L 406.601245 299.358948
" style="fill:none;stroke:#0000ff;stroke-linecap:square;"/>
<defs>
<path d="M 0 3
C 0.795609 3 1.55874 2.683901 2.12132 2.12132
C 2.683901 1.55874 3 0.795609 3 0
C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132
C 1.55874 -2.683901 0.795609 -3 0 -3
C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132
C -2.683901 -1.55874 -3 -0.795609 -3 0
C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132
C -1.55874 2.683901 -0.795609 3 0 3
z
" id="med8eb5e5e2" style="stroke:#000000;stroke-width:0.5;"/>
</defs>
<g clip-path="url(#p54a63d19e2)">
<use style="fill:#0000ff;stroke:#000000;stroke-width:0.5;" x="106.922542" xlink:href="#med8eb5e5e2" y="299.358948"/>
<use style="fill:#0000ff;stroke:#000000;stroke-width:0.5;" x="406.601245" xlink:href="#med8eb5e5e2" y="299.358948"/>
</g>
</g>
<g id="patch_3">
<path d="M 72 388.8
L 72 43.2
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;"/>
</g>
<g id="patch_4">
<path d="M 518.4 388.8
L 518.4 43.2
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;"/>
</g>
<g id="patch_5">
<path d="M 72 388.8
L 518.4 388.8
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;"/>
</g>
<g id="patch_6">
<path d="M 72 43.2
L 518.4 43.2
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;"/>
</g>
<g id="matplotlib.axis_1">
<g id="xtick_1">
<g id="line2d_29">
<defs>
<path d="M 0 0
L 0 -4
" id="mac9194488d" style="stroke:#000000;stroke-width:0.5;"/>
</defs>
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="89.169231" xlink:href="#mac9194488d" y="388.8"/>
</g>
</g>
<g id="line2d_30">
<defs>
<path d="M 0 0
L 0 4
" id="me7d65a7ea6" style="stroke:#000000;stroke-width:0.5;"/>
</defs>
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="89.169231" xlink:href="#me7d65a7ea6" y="43.2"/>
</g>
</g>
<g id="text_1">
<!-- 0.5 -->
<defs>
<path d="M 31.78125 66.40625
Q 24.171875 66.40625 20.328125 58.90625
Q 16.5 51.421875 16.5 36.375
Q 16.5 21.390625 20.328125 13.890625
Q 24.171875 6.390625 31.78125 6.390625
Q 39.453125 6.390625 43.28125 13.890625
Q 47.125 21.390625 47.125 36.375
Q 47.125 51.421875 43.28125 58.90625
Q 39.453125 66.40625 31.78125 66.40625
z
M 31.78125 74.21875
Q 44.046875 74.21875 50.515625 64.515625
Q 56.984375 54.828125 56.984375 36.375
Q 56.984375 17.96875 50.515625 8.265625
Q 44.046875 -1.421875 31.78125 -1.421875
Q 19.53125 -1.421875 13.0625 8.265625
Q 6.59375 17.96875 6.59375 36.375
Q 6.59375 54.828125 13.0625 64.515625
Q 19.53125 74.21875 31.78125 74.21875
z
" id="DejaVuSans-30"/>
<path d="M 10.6875 12.40625
L 21 12.40625
L 21 0
L 10.6875 0
z
" id="DejaVuSans-2e"/>
<path d="M 10.796875 72.90625
L 49.515625 72.90625
L 49.515625 64.59375
L 19.828125 64.59375
L 19.828125 46.734375
Q 21.96875 47.46875 24.109375 47.828125
Q 26.265625 48.1875 28.421875 48.1875
Q 40.625 48.1875 47.75 41.5
Q 54.890625 34.8125 54.890625 23.390625
Q 54.890625 11.625 47.5625 5.09375
Q 40.234375 -1.421875 26.90625 -1.421875
Q 22.3125 -1.421875 17.546875 -0.640625
Q 12.796875 0.140625 7.71875 1.703125
L 7.71875 11.625
Q 12.109375 9.234375 16.796875 8.0625
Q 21.484375 6.890625 26.703125 6.890625
Q 35.15625 6.890625 40.078125 11.328125
Q 45.015625 15.765625 45.015625 23.390625
Q 45.015625 31 40.078125 35.4375
Q 35.15625 39.890625 26.703125 39.890625
Q 22.75 39.890625 18.8125 39.015625
Q 14.890625 38.140625 10.796875 36.28125
z
" id="DejaVuSans-35"/>
</defs>
<g transform="translate(79.627356 401.918125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-30"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-35"/>
</g>
</g>
</g>
<g id="xtick_2">
<g id="line2d_31">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="175.015385" xlink:href="#mac9194488d" y="388.8"/>
</g>
</g>
<g id="line2d_32">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="175.015385" xlink:href="#me7d65a7ea6" y="43.2"/>
</g>
</g>
<g id="text_2">
<!-- 1.0 -->
<defs>
<path d="M 12.40625 8.296875
L 28.515625 8.296875
L 28.515625 63.921875
L 10.984375 60.40625
L 10.984375 69.390625
L 28.421875 72.90625
L 38.28125 72.90625
L 38.28125 8.296875
L 54.390625 8.296875
L 54.390625 0
L 12.40625 0
z
" id="DejaVuSans-31"/>
</defs>
<g transform="translate(165.47351 401.918125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-31"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-30"/>
</g>
</g>
</g>
<g id="xtick_3">
<g id="line2d_33">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="260.861538" xlink:href="#mac9194488d" y="388.8"/>
</g>
</g>
<g id="line2d_34">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="260.861538" xlink:href="#me7d65a7ea6" y="43.2"/>
</g>
</g>
<g id="text_3">
<!-- 1.5 -->
<g transform="translate(251.319663 401.918125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-31"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-35"/>
</g>
</g>
</g>
<g id="xtick_4">
<g id="line2d_35">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="346.707692" xlink:href="#mac9194488d" y="388.8"/>
</g>
</g>
<g id="line2d_36">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="346.707692" xlink:href="#me7d65a7ea6" y="43.2"/>
</g>
</g>
<g id="text_4">
<!-- 2.0 -->
<defs>
<path d="M 19.1875 8.296875
L 53.609375 8.296875
L 53.609375 0
L 7.328125 0
L 7.328125 8.296875
Q 12.9375 14.109375 22.625 23.890625
Q 32.328125 33.6875 34.8125 36.53125
Q 39.546875 41.84375 41.421875 45.53125
Q 43.3125 49.21875 43.3125 52.78125
Q 43.3125 58.59375 39.234375 62.25
Q 35.15625 65.921875 28.609375 65.921875
Q 23.96875 65.921875 18.8125 64.3125
Q 13.671875 62.703125 7.8125 59.421875
L 7.8125 69.390625
Q 13.765625 71.78125 18.9375 73
Q 24.125 74.21875 28.421875 74.21875
Q 39.75 74.21875 46.484375 68.546875
Q 53.21875 62.890625 53.21875 53.421875
Q 53.21875 48.921875 51.53125 44.890625
Q 49.859375 40.875 45.40625 35.40625
Q 44.1875 33.984375 37.640625 27.21875
Q 31.109375 20.453125 19.1875 8.296875
z
" id="DejaVuSans-32"/>
</defs>
<g transform="translate(337.165817 401.918125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-32"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-30"/>
</g>
</g>
</g>
<g id="xtick_5">
<g id="line2d_37">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="432.553846" xlink:href="#mac9194488d" y="388.8"/>
</g>
</g>
<g id="line2d_38">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="432.553846" xlink:href="#me7d65a7ea6" y="43.2"/>
</g>
</g>
<g id="text_5">
<!-- 2.5 -->
<g transform="translate(423.011971 401.918125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-32"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-35"/>
</g>
</g>
</g>
<g id="xtick_6">
<g id="line2d_39">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#mac9194488d" y="388.8"/>
</g>
</g>
<g id="line2d_40">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#me7d65a7ea6" y="43.2"/>
</g>
</g>
<g id="text_6">
<!-- 3.0 -->
<defs>
<path d="M 40.578125 39.3125
Q 47.65625 37.796875 51.625 33
Q 55.609375 28.21875 55.609375 21.1875
Q 55.609375 10.40625 48.1875 4.484375
Q 40.765625 -1.421875 27.09375 -1.421875
Q 22.515625 -1.421875 17.65625 -0.515625
Q 12.796875 0.390625 7.625 2.203125
L 7.625 11.71875
Q 11.71875 9.328125 16.59375 8.109375
Q 21.484375 6.890625 26.8125 6.890625
Q 36.078125 6.890625 40.9375 10.546875
Q 45.796875 14.203125 45.796875 21.1875
Q 45.796875 27.640625 41.28125 31.265625
Q 36.765625 34.90625 28.71875 34.90625
L 20.21875 34.90625
L 20.21875 43.015625
L 29.109375 43.015625
Q 36.375 43.015625 40.234375 45.921875
Q 44.09375 48.828125 44.09375 54.296875
Q 44.09375 59.90625 40.109375 62.90625
Q 36.140625 65.921875 28.71875 65.921875
Q 24.65625 65.921875 20.015625 65.03125
Q 15.375 64.15625 9.8125 62.3125
L 9.8125 71.09375
Q 15.4375 72.65625 20.34375 73.4375
Q 25.25 74.21875 29.59375 74.21875
Q 40.828125 74.21875 47.359375 69.109375
Q 53.90625 64.015625 53.90625 55.328125
Q 53.90625 49.265625 50.4375 45.09375
Q 46.96875 40.921875 40.578125 39.3125
z
" id="DejaVuSans-33"/>
</defs>
<g transform="translate(508.858125 401.918125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-33"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-30"/>
</g>
</g>
</g>
<g id="text_7">
<!-- V/Vc -->
<defs>
<path d="M 28.609375 0
L 0.78125 72.90625
L 11.078125 72.90625
L 34.1875 11.53125
L 57.328125 72.90625
L 67.578125 72.90625
L 39.796875 0
z
" id="DejaVuSans-56"/>
<path d="M 25.390625 72.90625
L 33.6875 72.90625
L 8.296875 -9.28125
L 0 -9.28125
z
" id="DejaVuSans-2f"/>
<path d="M 48.78125 52.59375
L 48.78125 44.1875
Q 44.96875 46.296875 41.140625 47.34375
Q 37.3125 48.390625 33.40625 48.390625
Q 24.65625 48.390625 19.8125 42.84375
Q 14.984375 37.3125 14.984375 27.296875
Q 14.984375 17.28125 19.8125 11.734375
Q 24.65625 6.203125 33.40625 6.203125
Q 37.3125 6.203125 41.140625 7.25
Q 44.96875 8.296875 48.78125 10.40625
L 48.78125 2.09375
Q 45.015625 0.34375 40.984375 -0.53125
Q 36.96875 -1.421875 32.421875 -1.421875
Q 20.0625 -1.421875 12.78125 6.34375
Q 5.515625 14.109375 5.515625 27.296875
Q 5.515625 40.671875 12.859375 48.328125
Q 20.21875 56 33.015625 56
Q 37.15625 56 41.109375 55.140625
Q 45.0625 54.296875 48.78125 52.59375
z
" id="DejaVuSans-63"/>
</defs>
<g transform="translate(281.670937 418.531875)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-56"/>
<use x="68.408203" xlink:href="#DejaVuSans-2f"/>
<use x="102.099609" xlink:href="#DejaVuSans-56"/>
<use x="170.507812" xlink:href="#DejaVuSans-63"/>
</g>
</g>
</g>
<g id="matplotlib.axis_2">
<g id="ytick_1">
<g id="line2d_41">
<defs>
<path d="M 0 0
L 4 0
" id="m5ecd7d8445" style="stroke:#000000;stroke-width:0.5;"/>
</defs>
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="72" xlink:href="#m5ecd7d8445" y="388.8"/>
</g>
</g>
<g id="line2d_42">
<defs>
<path d="M 0 0
L -4 0
" id="m58fe220275" style="stroke:#000000;stroke-width:0.5;"/>
</defs>
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#m58fe220275" y="388.8"/>
</g>
</g>
<g id="text_8">
<!-- 0.0 -->
<g transform="translate(48.91625 392.11125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-30"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-30"/>
</g>
</g>
</g>
<g id="ytick_2">
<g id="line2d_43">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="72" xlink:href="#m5ecd7d8445" y="319.68"/>
</g>
</g>
<g id="line2d_44">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#m58fe220275" y="319.68"/>
</g>
</g>
<g id="text_9">
<!-- 0.5 -->
<g transform="translate(48.91625 322.99125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-30"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-35"/>
</g>
</g>
</g>
<g id="ytick_3">
<g id="line2d_45">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="72" xlink:href="#m5ecd7d8445" y="250.56"/>
</g>
</g>
<g id="line2d_46">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#m58fe220275" y="250.56"/>
</g>
</g>
<g id="text_10">
<!-- 1.0 -->
<g transform="translate(48.91625 253.87125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-31"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-30"/>
</g>
</g>
</g>
<g id="ytick_4">
<g id="line2d_47">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="72" xlink:href="#m5ecd7d8445" y="181.44"/>
</g>
</g>
<g id="line2d_48">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#m58fe220275" y="181.44"/>
</g>
</g>
<g id="text_11">
<!-- 1.5 -->
<g transform="translate(48.91625 184.75125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-31"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-35"/>
</g>
</g>
</g>
<g id="ytick_5">
<g id="line2d_49">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="72" xlink:href="#m5ecd7d8445" y="112.32"/>
</g>
</g>
<g id="line2d_50">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#m58fe220275" y="112.32"/>
</g>
</g>
<g id="text_12">
<!-- 2.0 -->
<g transform="translate(48.91625 115.63125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-32"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-30"/>
</g>
</g>
</g>
<g id="ytick_6">
<g id="line2d_51">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="72" xlink:href="#m5ecd7d8445" y="43.2"/>
</g>
</g>
<g id="line2d_52">
<g>
<use style="stroke:#000000;stroke-width:0.5;" x="518.4" xlink:href="#m58fe220275" y="43.2"/>
</g>
</g>
<g id="text_13">
<!-- 2.5 -->
<g transform="translate(48.91625 46.51125)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-32"/>
<use x="63.623047" xlink:href="#DejaVuSans-2e"/>
<use x="95.410156" xlink:href="#DejaVuSans-35"/>
</g>
</g>
</g>
<g id="text_14">
<!-- P/Pc -->
<defs>
<path d="M 19.671875 64.796875
L 19.671875 37.40625
L 32.078125 37.40625
Q 38.96875 37.40625 42.71875 40.96875
Q 46.484375 44.53125 46.484375 51.125
Q 46.484375 57.671875 42.71875 61.234375
Q 38.96875 64.796875 32.078125 64.796875
z
M 9.8125 72.90625
L 32.078125 72.90625
Q 44.34375 72.90625 50.609375 67.359375
Q 56.890625 61.8125 56.890625 51.125
Q 56.890625 40.328125 50.609375 34.8125
Q 44.34375 29.296875 32.078125 29.296875
L 19.671875 29.296875
L 19.671875 0
L 9.8125 0
z
" id="DejaVuSans-50"/>
</defs>
<g transform="translate(41.420625 228.555937)rotate(-90)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-50"/>
<use x="60.302734" xlink:href="#DejaVuSans-2f"/>
<use x="93.994141" xlink:href="#DejaVuSans-50"/>
<use x="154.296875" xlink:href="#DejaVuSans-63"/>
</g>
</g>
</g>
<g id="text_15">
<!-- Point critique -->
<defs>
<path d="M 30.609375 48.390625
Q 23.390625 48.390625 19.1875 42.75
Q 14.984375 37.109375 14.984375 27.296875
Q 14.984375 17.484375 19.15625 11.84375
Q 23.34375 6.203125 30.609375 6.203125
Q 37.796875 6.203125 41.984375 11.859375
Q 46.1875 17.53125 46.1875 27.296875
Q 46.1875 37.015625 41.984375 42.703125
Q 37.796875 48.390625 30.609375 48.390625
z
M 30.609375 56
Q 42.328125 56 49.015625 48.375
Q 55.71875 40.765625 55.71875 27.296875
Q 55.71875 13.875 49.015625 6.21875
Q 42.328125 -1.421875 30.609375 -1.421875
Q 18.84375 -1.421875 12.171875 6.21875
Q 5.515625 13.875 5.515625 27.296875
Q 5.515625 40.765625 12.171875 48.375
Q 18.84375 56 30.609375 56
z
" id="DejaVuSans-6f"/>
<path d="M 9.421875 54.6875
L 18.40625 54.6875
L 18.40625 0
L 9.421875 0
z
M 9.421875 75.984375
L 18.40625 75.984375
L 18.40625 64.59375
L 9.421875 64.59375
z
" id="DejaVuSans-69"/>
<path d="M 54.890625 33.015625
L 54.890625 0
L 45.90625 0
L 45.90625 32.71875
Q 45.90625 40.484375 42.875 44.328125
Q 39.84375 48.1875 33.796875 48.1875
Q 26.515625 48.1875 22.3125 43.546875
Q 18.109375 38.921875 18.109375 30.90625
L 18.109375 0
L 9.078125 0
L 9.078125 54.6875
L 18.109375 54.6875
L 18.109375 46.1875
Q 21.34375 51.125 25.703125 53.5625
Q 30.078125 56 35.796875 56
Q 45.21875 56 50.046875 50.171875
Q 54.890625 44.34375 54.890625 33.015625
z
" id="DejaVuSans-6e"/>
<path d="M 18.3125 70.21875
L 18.3125 54.6875
L 36.8125 54.6875
L 36.8125 47.703125
L 18.3125 47.703125
L 18.3125 18.015625
Q 18.3125 11.328125 20.140625 9.421875
Q 21.96875 7.515625 27.59375 7.515625
L 36.8125 7.515625
L 36.8125 0
L 27.59375 0
Q 17.1875 0 13.234375 3.875
Q 9.28125 7.765625 9.28125 18.015625
L 9.28125 47.703125
L 2.6875 47.703125
L 2.6875 54.6875
L 9.28125 54.6875
L 9.28125 70.21875
z
" id="DejaVuSans-74"/>
<path id="DejaVuSans-20"/>
<path d="M 41.109375 46.296875
Q 39.59375 47.171875 37.8125 47.578125
Q 36.03125 48 33.890625 48
Q 26.265625 48 22.1875 43.046875
Q 18.109375 38.09375 18.109375 28.8125
L 18.109375 0
L 9.078125 0
L 9.078125 54.6875
L 18.109375 54.6875
L 18.109375 46.1875
Q 20.953125 51.171875 25.484375 53.578125
Q 30.03125 56 36.53125 56
Q 37.453125 56 38.578125 55.875
Q 39.703125 55.765625 41.0625 55.515625
z
" id="DejaVuSans-72"/>
<path d="M 14.796875 27.296875
Q 14.796875 17.390625 18.875 11.75
Q 22.953125 6.109375 30.078125 6.109375
Q 37.203125 6.109375 41.296875 11.75
Q 45.40625 17.390625 45.40625 27.296875
Q 45.40625 37.203125 41.296875 42.84375
Q 37.203125 48.484375 30.078125 48.484375
Q 22.953125 48.484375 18.875 42.84375
Q 14.796875 37.203125 14.796875 27.296875
z
M 45.40625 8.203125
Q 42.578125 3.328125 38.25 0.953125
Q 33.9375 -1.421875 27.875 -1.421875
Q 17.96875 -1.421875 11.734375 6.484375
Q 5.515625 14.40625 5.515625 27.296875
Q 5.515625 40.1875 11.734375 48.09375
Q 17.96875 56 27.875 56
Q 33.9375 56 38.25 53.625
Q 42.578125 51.265625 45.40625 46.390625
L 45.40625 54.6875
L 54.390625 54.6875
L 54.390625 -20.796875
L 45.40625 -20.796875
z
" id="DejaVuSans-71"/>
<path d="M 8.5 21.578125
L 8.5 54.6875
L 17.484375 54.6875
L 17.484375 21.921875
Q 17.484375 14.15625 20.5 10.265625
Q 23.53125 6.390625 29.59375 6.390625
Q 36.859375 6.390625 41.078125 11.03125
Q 45.3125 15.671875 45.3125 23.6875
L 45.3125 54.6875
L 54.296875 54.6875
L 54.296875 0
L 45.3125 0
L 45.3125 8.40625
Q 42.046875 3.421875 37.71875 1
Q 33.40625 -1.421875 27.6875 -1.421875
Q 18.265625 -1.421875 13.375 4.4375
Q 8.5 10.296875 8.5 21.578125
z
M 31.109375 56
z
" id="DejaVuSans-75"/>
<path d="M 56.203125 29.59375
L 56.203125 25.203125
L 14.890625 25.203125
Q 15.484375 15.921875 20.484375 11.0625
Q 25.484375 6.203125 34.421875 6.203125
Q 39.59375 6.203125 44.453125 7.46875
Q 49.3125 8.734375 54.109375 11.28125
L 54.109375 2.78125
Q 49.265625 0.734375 44.1875 -0.34375
Q 39.109375 -1.421875 33.890625 -1.421875
Q 20.796875 -1.421875 13.15625 6.1875
Q 5.515625 13.8125 5.515625 26.8125
Q 5.515625 40.234375 12.765625 48.109375
Q 20.015625 56 32.328125 56
Q 43.359375 56 49.78125 48.890625
Q 56.203125 41.796875 56.203125 29.59375
z
M 47.21875 32.234375
Q 47.125 39.59375 43.09375 43.984375
Q 39.0625 48.390625 32.421875 48.390625
Q 24.90625 48.390625 20.390625 44.140625
Q 15.875 39.890625 15.1875 32.171875
z
" id="DejaVuSans-65"/>
</defs>
<g transform="translate(180.015385 245.56)scale(0.12 -0.12)">
<use xlink:href="#DejaVuSans-50"/>
<use x="60.255859" xlink:href="#DejaVuSans-6f"/>
<use x="121.4375" xlink:href="#DejaVuSans-69"/>
<use x="149.220703" xlink:href="#DejaVuSans-6e"/>
<use x="212.599609" xlink:href="#DejaVuSans-74"/>
<use x="251.808594" xlink:href="#DejaVuSans-20"/>
<use x="283.595703" xlink:href="#DejaVuSans-63"/>
<use x="338.576172" xlink:href="#DejaVuSans-72"/>
<use x="379.689453" xlink:href="#DejaVuSans-69"/>
<use x="407.472656" xlink:href="#DejaVuSans-74"/>
<use x="446.681641" xlink:href="#DejaVuSans-69"/>
<use x="474.464844" xlink:href="#DejaVuSans-71"/>
<use x="537.941406" xlink:href="#DejaVuSans-75"/>
<use x="601.320312" xlink:href="#DejaVuSans-65"/>
</g>
</g>
<g id="text_16">
<!-- Isothermes du gaz de Van der Waals -->
<defs>
<path d="M 9.8125 72.90625
L 19.671875 72.90625
L 19.671875 0
L 9.8125 0
z
" id="DejaVuSans-49"/>
<path d="M 44.28125 53.078125
L 44.28125 44.578125
Q 40.484375 46.53125 36.375 47.5
Q 32.28125 48.484375 27.875 48.484375
Q 21.1875 48.484375 17.84375 46.4375
Q 14.5 44.390625 14.5 40.28125
Q 14.5 37.15625 16.890625 35.375
Q 19.28125 33.59375 26.515625 31.984375
L 29.59375 31.296875
Q 39.15625 29.25 43.1875 25.515625
Q 47.21875 21.78125 47.21875 15.09375
Q 47.21875 7.46875 41.1875 3.015625
Q 35.15625 -1.421875 24.609375 -1.421875
Q 20.21875 -1.421875 15.453125 -0.5625
Q 10.6875 0.296875 5.421875 2
L 5.421875 11.28125
Q 10.40625 8.6875 15.234375 7.390625
Q 20.0625 6.109375 24.8125 6.109375
Q 31.15625 6.109375 34.5625 8.28125
Q 37.984375 10.453125 37.984375 14.40625
Q 37.984375 18.0625 35.515625 20.015625
Q 33.0625 21.96875 24.703125 23.78125
L 21.578125 24.515625
Q 13.234375 26.265625 9.515625 29.90625
Q 5.8125 33.546875 5.8125 39.890625
Q 5.8125 47.609375 11.28125 51.796875
Q 16.75 56 26.8125 56
Q 31.78125 56 36.171875 55.265625
Q 40.578125 54.546875 44.28125 53.078125
z
" id="DejaVuSans-73"/>
<path d="M 54.890625 33.015625
L 54.890625 0
L 45.90625 0
L 45.90625 32.71875
Q 45.90625 40.484375 42.875 44.328125
Q 39.84375 48.1875 33.796875 48.1875
Q 26.515625 48.1875 22.3125 43.546875
Q 18.109375 38.921875 18.109375 30.90625
L 18.109375 0
L 9.078125 0
L 9.078125 75.984375
L 18.109375 75.984375
L 18.109375 46.1875
Q 21.34375 51.125 25.703125 53.5625
Q 30.078125 56 35.796875 56
Q 45.21875 56 50.046875 50.171875
Q 54.890625 44.34375 54.890625 33.015625
z
" id="DejaVuSans-68"/>
<path d="M 52 44.1875
Q 55.375 50.25 60.0625 53.125
Q 64.75 56 71.09375 56
Q 79.640625 56 84.28125 50.015625
Q 88.921875 44.046875 88.921875 33.015625
L 88.921875 0
L 79.890625 0
L 79.890625 32.71875
Q 79.890625 40.578125 77.09375 44.375
Q 74.3125 48.1875 68.609375 48.1875
Q 61.625 48.1875 57.5625 43.546875
Q 53.515625 38.921875 53.515625 30.90625
L 53.515625 0
L 44.484375 0
L 44.484375 32.71875
Q 44.484375 40.625 41.703125 44.40625
Q 38.921875 48.1875 33.109375 48.1875
Q 26.21875 48.1875 22.15625 43.53125
Q 18.109375 38.875 18.109375 30.90625
L 18.109375 0
L 9.078125 0
L 9.078125 54.6875
L 18.109375 54.6875
L 18.109375 46.1875
Q 21.1875 51.21875 25.484375 53.609375
Q 29.78125 56 35.6875 56
Q 41.65625 56 45.828125 52.96875
Q 50 49.953125 52 44.1875
z
" id="DejaVuSans-6d"/>
<path d="M 45.40625 46.390625
L 45.40625 75.984375
L 54.390625 75.984375
L 54.390625 0
L 45.40625 0
L 45.40625 8.203125
Q 42.578125 3.328125 38.25 0.953125
Q 33.9375 -1.421875 27.875 -1.421875
Q 17.96875 -1.421875 11.734375 6.484375
Q 5.515625 14.40625 5.515625 27.296875
Q 5.515625 40.1875 11.734375 48.09375
Q 17.96875 56 27.875 56
Q 33.9375 56 38.25 53.625
Q 42.578125 51.265625 45.40625 46.390625
z
M 14.796875 27.296875
Q 14.796875 17.390625 18.875 11.75
Q 22.953125 6.109375 30.078125 6.109375
Q 37.203125 6.109375 41.296875 11.75
Q 45.40625 17.390625 45.40625 27.296875
Q 45.40625 37.203125 41.296875 42.84375
Q 37.203125 48.484375 30.078125 48.484375
Q 22.953125 48.484375 18.875 42.84375
Q 14.796875 37.203125 14.796875 27.296875
z
" id="DejaVuSans-64"/>
<path d="M 45.40625 27.984375
Q 45.40625 37.75 41.375 43.109375
Q 37.359375 48.484375 30.078125 48.484375
Q 22.859375 48.484375 18.828125 43.109375
Q 14.796875 37.75 14.796875 27.984375
Q 14.796875 18.265625 18.828125 12.890625
Q 22.859375 7.515625 30.078125 7.515625
Q 37.359375 7.515625 41.375 12.890625
Q 45.40625 18.265625 45.40625 27.984375
z
M 54.390625 6.78125
Q 54.390625 -7.171875 48.1875 -13.984375
Q 42 -20.796875 29.203125 -20.796875
Q 24.46875 -20.796875 20.265625 -20.09375
Q 16.0625 -19.390625 12.109375 -17.921875
L 12.109375 -9.1875
Q 16.0625 -11.328125 19.921875 -12.34375
Q 23.78125 -13.375 27.78125 -13.375
Q 36.625 -13.375 41.015625 -8.765625
Q 45.40625 -4.15625 45.40625 5.171875
L 45.40625 9.625
Q 42.625 4.78125 38.28125 2.390625
Q 33.9375 0 27.875 0
Q 17.828125 0 11.671875 7.65625
Q 5.515625 15.328125 5.515625 27.984375
Q 5.515625 40.671875 11.671875 48.328125
Q 17.828125 56 27.875 56
Q 33.9375 56 38.28125 53.609375
Q 42.625 51.21875 45.40625 46.390625
L 45.40625 54.6875
L 54.390625 54.6875
z
" id="DejaVuSans-67"/>
<path d="M 34.28125 27.484375
Q 23.390625 27.484375 19.1875 25
Q 14.984375 22.515625 14.984375 16.5
Q 14.984375 11.71875 18.140625 8.90625
Q 21.296875 6.109375 26.703125 6.109375
Q 34.1875 6.109375 38.703125 11.40625
Q 43.21875 16.703125 43.21875 25.484375
L 43.21875 27.484375
z
M 52.203125 31.203125
L 52.203125 0
L 43.21875 0
L 43.21875 8.296875
Q 40.140625 3.328125 35.546875 0.953125
Q 30.953125 -1.421875 24.3125 -1.421875
Q 15.921875 -1.421875 10.953125 3.296875
Q 6 8.015625 6 15.921875
Q 6 25.140625 12.171875 29.828125
Q 18.359375 34.515625 30.609375 34.515625
L 43.21875 34.515625
L 43.21875 35.40625
Q 43.21875 41.609375 39.140625 45
Q 35.0625 48.390625 27.6875 48.390625
Q 23 48.390625 18.546875 47.265625
Q 14.109375 46.140625 10.015625 43.890625
L 10.015625 52.203125
Q 14.9375 54.109375 19.578125 55.046875
Q 24.21875 56 28.609375 56
Q 40.484375 56 46.34375 49.84375
Q 52.203125 43.703125 52.203125 31.203125
z
" id="DejaVuSans-61"/>
<path d="M 5.515625 54.6875
L 48.1875 54.6875
L 48.1875 46.484375
L 14.40625 7.171875
L 48.1875 7.171875
L 48.1875 0
L 4.296875 0
L 4.296875 8.203125
L 38.09375 47.515625
L 5.515625 47.515625
z
" id="DejaVuSans-7a"/>
<path d="M 3.328125 72.90625
L 13.28125 72.90625
L 28.609375 11.28125
L 43.890625 72.90625
L 54.984375 72.90625
L 70.3125 11.28125
L 85.59375 72.90625
L 95.609375 72.90625
L 77.296875 0
L 64.890625 0
L 49.515625 63.28125
L 33.984375 0
L 21.578125 0
z
" id="DejaVuSans-57"/>
<path d="M 9.421875 75.984375
L 18.40625 75.984375
L 18.40625 0
L 9.421875 0
z
" id="DejaVuSans-6c"/>
</defs>
<g transform="translate(162.783 38.2)scale(0.144 -0.144)">
<use xlink:href="#DejaVuSans-49"/>
<use x="29.492188" xlink:href="#DejaVuSans-73"/>
<use x="81.591797" xlink:href="#DejaVuSans-6f"/>
<use x="142.773438" xlink:href="#DejaVuSans-74"/>
<use x="181.982422" xlink:href="#DejaVuSans-68"/>
<use x="245.361328" xlink:href="#DejaVuSans-65"/>
<use x="306.884766" xlink:href="#DejaVuSans-72"/>
<use x="347.982422" xlink:href="#DejaVuSans-6d"/>
<use x="445.394531" xlink:href="#DejaVuSans-65"/>
<use x="506.917969" xlink:href="#DejaVuSans-73"/>
<use x="559.017578" xlink:href="#DejaVuSans-20"/>
<use x="590.804688" xlink:href="#DejaVuSans-64"/>
<use x="654.28125" xlink:href="#DejaVuSans-75"/>
<use x="717.660156" xlink:href="#DejaVuSans-20"/>
<use x="749.447266" xlink:href="#DejaVuSans-67"/>
<use x="812.923828" xlink:href="#DejaVuSans-61"/>
<use x="874.203125" xlink:href="#DejaVuSans-7a"/>
<use x="926.693359" xlink:href="#DejaVuSans-20"/>
<use x="958.480469" xlink:href="#DejaVuSans-64"/>
<use x="1021.957031" xlink:href="#DejaVuSans-65"/>
<use x="1083.480469" xlink:href="#DejaVuSans-20"/>
<use x="1115.267578" xlink:href="#DejaVuSans-56"/>
<use x="1183.566406" xlink:href="#DejaVuSans-61"/>
<use x="1244.845703" xlink:href="#DejaVuSans-6e"/>
<use x="1308.224609" xlink:href="#DejaVuSans-20"/>
<use x="1340.011719" xlink:href="#DejaVuSans-64"/>
<use x="1403.488281" xlink:href="#DejaVuSans-65"/>
<use x="1465.011719" xlink:href="#DejaVuSans-72"/>
<use x="1506.125" xlink:href="#DejaVuSans-20"/>
<use x="1537.912109" xlink:href="#DejaVuSans-57"/>
<use x="1636.695312" xlink:href="#DejaVuSans-61"/>
<use x="1697.974609" xlink:href="#DejaVuSans-61"/>
<use x="1759.253906" xlink:href="#DejaVuSans-6c"/>
<use x="1787.037109" xlink:href="#DejaVuSans-73"/>
</g>
</g>
<g id="legend_1">
<g id="patch_7">
<path d="M 306.86625 160.4025
L 511.2 160.4025
L 511.2 50.4
L 306.86625 50.4
z
" style="fill:#ffffff;stroke:#000000;stroke-linejoin:miter;"/>
</g>
<g id="line2d_53">
<path d="M 316.94625 62.06175
L 337.10625 62.06175
" style="fill:none;stroke:#0000ff;stroke-linecap:square;"/>
</g>
<g id="line2d_54"/>
<g id="text_17">
<!-- T/Tc=0.9 -->
<defs>
<path d="M -0.296875 72.90625
L 61.375 72.90625
L 61.375 64.59375
L 35.5 64.59375
L 35.5 0
L 25.59375 0
L 25.59375 64.59375
L -0.296875 64.59375
z
" id="DejaVuSans-54"/>
<path d="M 10.59375 45.40625
L 73.1875 45.40625
L 73.1875 37.203125
L 10.59375 37.203125
z
M 10.59375 25.484375
L 73.1875 25.484375
L 73.1875 17.1875
L 10.59375 17.1875
z
" id="DejaVuSans-3d"/>
<path d="M 10.984375 1.515625
L 10.984375 10.5
Q 14.703125 8.734375 18.5 7.8125
Q 22.3125 6.890625 25.984375 6.890625
Q 35.75 6.890625 40.890625 13.453125
Q 46.046875 20.015625 46.78125 33.40625
Q 43.953125 29.203125 39.59375 26.953125
Q 35.25 24.703125 29.984375 24.703125
Q 19.046875 24.703125 12.671875 31.3125
Q 6.296875 37.9375 6.296875 49.421875
Q 6.296875 60.640625 12.9375 67.421875
Q 19.578125 74.21875 30.609375 74.21875
Q 43.265625 74.21875 49.921875 64.515625
Q 56.59375 54.828125 56.59375 36.375
Q 56.59375 19.140625 48.40625 8.859375
Q 40.234375 -1.421875 26.421875 -1.421875
Q 22.703125 -1.421875 18.890625 -0.6875
Q 15.09375 0.046875 10.984375 1.515625
z
M 30.609375 32.421875
Q 37.25 32.421875 41.125 36.953125
Q 45.015625 41.5 45.015625 49.421875
Q 45.015625 57.28125 41.125 61.84375
Q 37.25 66.40625 30.609375 66.40625
Q 23.96875 66.40625 20.09375 61.84375
Q 16.21875 57.28125 16.21875 49.421875
Q 16.21875 41.5 20.09375 36.953125
Q 23.96875 32.421875 30.609375 32.421875
z
" id="DejaVuSans-39"/>
</defs>
<g transform="translate(352.94625 67.10175)scale(0.144 -0.144)">
<use xlink:href="#DejaVuSans-54"/>
<use x="61.083984" xlink:href="#DejaVuSans-2f"/>
<use x="94.775391" xlink:href="#DejaVuSans-54"/>
<use x="155.59375" xlink:href="#DejaVuSans-63"/>
<use x="210.574219" xlink:href="#DejaVuSans-3d"/>
<use x="294.363281" xlink:href="#DejaVuSans-30"/>
<use x="357.986328" xlink:href="#DejaVuSans-2e"/>
<use x="389.773438" xlink:href="#DejaVuSans-39"/>
</g>
</g>
<g id="line2d_55">
<path d="M 316.94625 83.19825
L 337.10625 83.19825
" style="fill:none;stroke:#008000;stroke-linecap:square;"/>
</g>
<g id="line2d_56"/>
<g id="text_18">
<!-- T/Tc=1 -->
<g transform="translate(352.94625 88.23825)scale(0.144 -0.144)">
<use xlink:href="#DejaVuSans-54"/>
<use x="61.083984" xlink:href="#DejaVuSans-2f"/>
<use x="94.775391" xlink:href="#DejaVuSans-54"/>
<use x="155.59375" xlink:href="#DejaVuSans-63"/>
<use x="210.574219" xlink:href="#DejaVuSans-3d"/>
<use x="294.363281" xlink:href="#DejaVuSans-31"/>
</g>
</g>
<g id="line2d_57">
<path d="M 316.94625 104.33475
L 337.10625 104.33475
" style="fill:none;stroke:#ff0000;stroke-linecap:square;"/>
</g>
<g id="line2d_58"/>
<g id="text_19">
<!-- T/Tc=1.1 -->
<g transform="translate(352.94625 109.37475)scale(0.144 -0.144)">
<use xlink:href="#DejaVuSans-54"/>
<use x="61.083984" xlink:href="#DejaVuSans-2f"/>
<use x="94.775391" xlink:href="#DejaVuSans-54"/>
<use x="155.59375" xlink:href="#DejaVuSans-63"/>
<use x="210.574219" xlink:href="#DejaVuSans-3d"/>
<use x="294.363281" xlink:href="#DejaVuSans-31"/>
<use x="357.986328" xlink:href="#DejaVuSans-2e"/>
<use x="389.773438" xlink:href="#DejaVuSans-31"/>
</g>
</g>
<g id="line2d_59">
<path d="M 316.94625 125.47125
L 337.10625 125.47125
" style="fill:none;stroke:#000000;stroke-dasharray:6,6;stroke-dashoffset:0;"/>
</g>
<g id="line2d_60"/>
<g id="text_20">
<!-- Spinodale -->
<defs>
<path d="M 53.515625 70.515625
L 53.515625 60.890625
Q 47.90625 63.578125 42.921875 64.890625
Q 37.9375 66.21875 33.296875 66.21875
Q 25.25 66.21875 20.875 63.09375
Q 16.5 59.96875 16.5 54.203125
Q 16.5 49.359375 19.40625 46.890625
Q 22.3125 44.4375 30.421875 42.921875
L 36.375 41.703125
Q 47.40625 39.59375 52.65625 34.296875
Q 57.90625 29 57.90625 20.125
Q 57.90625 9.515625 50.796875 4.046875
Q 43.703125 -1.421875 29.984375 -1.421875
Q 24.8125 -1.421875 18.96875 -0.25
Q 13.140625 0.921875 6.890625 3.21875
L 6.890625 13.375
Q 12.890625 10.015625 18.65625 8.296875
Q 24.421875 6.59375 29.984375 6.59375
Q 38.421875 6.59375 43.015625 9.90625
Q 47.609375 13.234375 47.609375 19.390625
Q 47.609375 24.75 44.3125 27.78125
Q 41.015625 30.8125 33.5 32.328125
L 27.484375 33.5
Q 16.453125 35.6875 11.515625 40.375
Q 6.59375 45.0625 6.59375 53.421875
Q 6.59375 63.09375 13.40625 68.65625
Q 20.21875 74.21875 32.171875 74.21875
Q 37.3125 74.21875 42.625 73.28125
Q 47.953125 72.359375 53.515625 70.515625
z
" id="DejaVuSans-53"/>
<path d="M 18.109375 8.203125
L 18.109375 -20.796875
L 9.078125 -20.796875
L 9.078125 54.6875
L 18.109375 54.6875
L 18.109375 46.390625
Q 20.953125 51.265625 25.265625 53.625
Q 29.59375 56 35.59375 56
Q 45.5625 56 51.78125 48.09375
Q 58.015625 40.1875 58.015625 27.296875
Q 58.015625 14.40625 51.78125 6.484375
Q 45.5625 -1.421875 35.59375 -1.421875
Q 29.59375 -1.421875 25.265625 0.953125
Q 20.953125 3.328125 18.109375 8.203125
z
M 48.6875 27.296875
Q 48.6875 37.203125 44.609375 42.84375
Q 40.53125 48.484375 33.40625 48.484375
Q 26.265625 48.484375 22.1875 42.84375
Q 18.109375 37.203125 18.109375 27.296875
Q 18.109375 17.390625 22.1875 11.75
Q 26.265625 6.109375 33.40625 6.109375
Q 40.53125 6.109375 44.609375 11.75
Q 48.6875 17.390625 48.6875 27.296875
z
" id="DejaVuSans-70"/>
</defs>
<g transform="translate(352.94625 130.51125)scale(0.144 -0.144)">
<use xlink:href="#DejaVuSans-53"/>
<use x="63.476562" xlink:href="#DejaVuSans-70"/>
<use x="126.953125" xlink:href="#DejaVuSans-69"/>
<use x="154.736328" xlink:href="#DejaVuSans-6e"/>
<use x="218.115234" xlink:href="#DejaVuSans-6f"/>
<use x="279.296875" xlink:href="#DejaVuSans-64"/>
<use x="342.773438" xlink:href="#DejaVuSans-61"/>
<use x="404.052734" xlink:href="#DejaVuSans-6c"/>
<use x="431.835938" xlink:href="#DejaVuSans-65"/>
</g>
</g>
<g id="line2d_61">
<path d="M 316.94625 146.60775
L 337.10625 146.60775
" style="fill:none;stroke:#000000;stroke-linecap:square;"/>
</g>
<g id="line2d_62"/>
<g id="text_21">
<!-- Courbe de saturation -->
<defs>
<path d="M 64.40625 67.28125
L 64.40625 56.890625
Q 59.421875 61.53125 53.78125 63.8125
Q 48.140625 66.109375 41.796875 66.109375
Q 29.296875 66.109375 22.65625 58.46875
Q 16.015625 50.828125 16.015625 36.375
Q 16.015625 21.96875 22.65625 14.328125
Q 29.296875 6.6875 41.796875 6.6875
Q 48.140625 6.6875 53.78125 8.984375
Q 59.421875 11.28125 64.40625 15.921875
L 64.40625 5.609375
Q 59.234375 2.09375 53.4375 0.328125
Q 47.65625 -1.421875 41.21875 -1.421875
Q 24.65625 -1.421875 15.125 8.703125
Q 5.609375 18.84375 5.609375 36.375
Q 5.609375 53.953125 15.125 64.078125
Q 24.65625 74.21875 41.21875 74.21875
Q 47.75 74.21875 53.53125 72.484375
Q 59.328125 70.75 64.40625 67.28125
z
" id="DejaVuSans-43"/>
<path d="M 48.6875 27.296875
Q 48.6875 37.203125 44.609375 42.84375
Q 40.53125 48.484375 33.40625 48.484375
Q 26.265625 48.484375 22.1875 42.84375
Q 18.109375 37.203125 18.109375 27.296875
Q 18.109375 17.390625 22.1875 11.75
Q 26.265625 6.109375 33.40625 6.109375
Q 40.53125 6.109375 44.609375 11.75
Q 48.6875 17.390625 48.6875 27.296875
z
M 18.109375 46.390625
Q 20.953125 51.265625 25.265625 53.625
Q 29.59375 56 35.59375 56
Q 45.5625 56 51.78125 48.09375
Q 58.015625 40.1875 58.015625 27.296875
Q 58.015625 14.40625 51.78125 6.484375
Q 45.5625 -1.421875 35.59375 -1.421875
Q 29.59375 -1.421875 25.265625 0.953125
Q 20.953125 3.328125 18.109375 8.203125
L 18.109375 0
L 9.078125 0
L 9.078125 75.984375
L 18.109375 75.984375
z
" id="DejaVuSans-62"/>
</defs>
<g transform="translate(352.94625 151.64775)scale(0.144 -0.144)">
<use xlink:href="#DejaVuSans-43"/>
<use x="69.824219" xlink:href="#DejaVuSans-6f"/>
<use x="131.005859" xlink:href="#DejaVuSans-75"/>
<use x="194.384766" xlink:href="#DejaVuSans-72"/>
<use x="235.498047" xlink:href="#DejaVuSans-62"/>
<use x="298.974609" xlink:href="#DejaVuSans-65"/>
<use x="360.498047" xlink:href="#DejaVuSans-20"/>
<use x="392.285156" xlink:href="#DejaVuSans-64"/>
<use x="455.761719" xlink:href="#DejaVuSans-65"/>
<use x="517.285156" xlink:href="#DejaVuSans-20"/>
<use x="549.072266" xlink:href="#DejaVuSans-73"/>
<use x="601.171875" xlink:href="#DejaVuSans-61"/>
<use x="662.451172" xlink:href="#DejaVuSans-74"/>
<use x="701.660156" xlink:href="#DejaVuSans-75"/>
<use x="765.039062" xlink:href="#DejaVuSans-72"/>
<use x="806.152344" xlink:href="#DejaVuSans-61"/>
<use x="867.431641" xlink:href="#DejaVuSans-74"/>
<use x="906.640625" xlink:href="#DejaVuSans-69"/>
<use x="934.423828" xlink:href="#DejaVuSans-6f"/>
<use x="995.605469" xlink:href="#DejaVuSans-6e"/>
</g>
</g>
</g>
</g>
</g>
<defs>
<clipPath id="p54a63d19e2">
<rect height="345.6" width="446.4" x="72" y="43.2"/>
</clipPath>
</defs>
</svg>
Raw
vanDerWaals.py
#!/usr/bin/env python
# Copyright: This document has been placed in the public domain.
__author__ = "Yannick Copin <yannick.copin@laposte.net>"
import numpy as N
import scipy.optimize as O
import scipy.integrate as I
import matplotlib.pyplot as P
P.matplotlib.style.use('classic')
def isotherme(v, t=1):
"""Equation des isothermes p=P/Pc--v=V/Vc en fonction de t=T/Tc"""
return 8*t/(3*v - 1) - 3/v**2
def dpdv(v, t=1):
return -24*t/(3*v-1)**2 + 6/v**3
def spinodale(v):
"""Equation de la spinodale: dp/dv=0"""
#return 2*(3*v - 1)/v**3 - 3/v**2
return 3/v**2 - 2/v**3
def objfunc(p0, t, roots=False):
# Solutions de p(v) = p0
p0 = N.squeeze(p0)
sols = N.roots([3*p0, -(p0+8*t), 9, -3])
if not N.isreal(sols).all():
sols = sols.real
v1,v0,v2 = N.sort(sols)
if roots:
return v1,v2
i1,err = I.quad(lambda v:isotherme(v,t=t) - p0, v1,v0)
i2,err = I.quad(lambda v:isotherme(v,t=t) - p0, v0,v2)
return i1 + i2
def pSat(t):
"""Calcule de la pression de vapeur saturante a t"""
if t > 1:
raise ValueError("La pression de vapeur saturante est definie pour t<1")
# Intersection de la spinodale avec l'isotherme
sols = N.roots([4*t, -9, 6, -1])
tmp,v1,v2 = N.sort(sols)
p1,p2 = isotherme(N.array([v1,v2]), t=t)
# zero de objfunc, pour p1 < p0 < p2
try:
psat = O.brentq(objfunc, p1, p2, args=(t,))
except ValueError:
psat = N.nan
return psat
def courbeSat(t=None):
if t is None:
t = N.linspace(0.85,1-1e-6)
psats = N.array([ pSat(tt) for tt in t ])
good = N.isfinite(psats)
vsats = N.array([ objfunc(psat,tt, roots=True)
for psat,tt in zip(psats[good],t[good]) ])
vs = N.concatenate((vsats[:,0],vsats[:,1][::-1]))
ps = N.concatenate((psats[good],psats[good][::-1]))
return vs,ps
#fig,ax = P.subplots(1,1)
fig = P.figure()
ax = fig.add_subplot(1,1,1)
ax.set_title("Isothermes du gaz de Van der Waals")
ax.set_xlabel("V/Vc")
ax.set_ylabel("P/Pc")
v = N.linspace(0.4,5,1000)
for t in N.linspace(0.8,1.2,21):
ax.plot(v,isotherme(v,t), c='0.8', label="_")
ax.plot(v,isotherme(v,0.9), label="T/Tc=0.9")
ax.plot(v,isotherme(v,1), label="T/Tc=1")
ax.plot(v,isotherme(v,1.1), label="T/Tc=1.1")
ax.plot([1],[1],'go', label='_')
ax.annotate('Point critique', (1,1), (5,5), textcoords='offset points')
ax.plot(v,spinodale(v), 'k--', label='Spinodale')
vsats,psats = courbeSat()
ax.plot(vsats,psats, 'k-', label='Courbe de saturation')
psat = pSat(0.9)
v1,v2 = objfunc(psat,0.9,roots=True)
ax.plot([v1,v2],[psat]*2, 'bo-', label='_')
vs = N.linspace(v1,v2,100)
ax.fill_between(vs,vs*0+psat,isotherme(vs,t=0.9),
facecolor='b', edgecolor='none', alpha=0.2)
ax.legend()
#ax.semilogx()
#xticks = [0.4,0.6,0.8,1,2,3,4,5]
#ax.set(xticks=xticks, xticklabels=map(lambda v:'%.1f'%v,xticks))
#ax.set_xlim(0.4,5)
ax.set_xlim(0.4,3)
ax.set_ylim(0,2.5)
P.show()
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment