{
"cells": [
{
"cell_type": "markdown",
"id": "a40f6857",
"metadata": {},
"source": [
"## The attenuation over time of a single-frequency in the initial concentration\n",
"\n",
"### The initial system state is a sine wave of frequency 2 (i.e. 2 cycles across the system's length), of amplitude 10, with a baseline (bias) of 30\n",
"### Afterward, the process is restarted and repeated with a frequency 5 times larger \n",
" \n",
" \n",
"LAST REVISED: June 23, 2024 (using v. 1.0 beta34.1)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "fbbf3a33-e2f5-40fa-bc74-af4002daba30",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n"
]
}
],
"source": [
"import set_path # Importing this module will add the project's home directory to sys.path"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "4ce5b287",
"metadata": {},
"outputs": [],
"source": [
"\n",
"from life123 import BioSim1D\n",
"\n",
"import plotly.express as px\n",
"import plotly.graph_objects as go\n",
"\n",
"from life123 import ChemData as chem"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "696122b0-c8c4-4d43-a4fc-319f95221602",
"metadata": {},
"outputs": [],
"source": [
"# Initialize the system. We use a RELATIVELY LARGE NUMBER OF BINS, \n",
"# to captures the finer changes in the frequency components of the concentration function\n",
"chem_data = chem(names=[\"A\"], diffusion_rates=[0.5])\n",
"bio = BioSim1D(n_bins=500, chem_data=chem_data)"
]
},
{
"cell_type": "markdown",
"id": "20c8fd90-5315-4c5c-a60b-20427fc13b84",
"metadata": {},
"source": [
"## Initial Preparation -\n",
"### Start with a sinusoidal concentration, with exactly 2 cycles over the length of the system\n",
"#### (of amplitude 10 and bias value of 30)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "99ab76d6",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=10, bias=30, frequency=2)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "012d98f0-4846-4d56-8b50-f30543b31fe0",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM SNAPSHOT at time 0:\n",
" A\n",
"0 30.000000\n",
"1 30.251301\n",
"2 30.502443\n",
"3 30.753268\n",
"4 31.003617\n",
".. ...\n",
"495 28.746668\n",
"496 28.996383\n",
"497 29.246732\n",
"498 29.497557\n",
"499 29.748699\n",
"\n",
"[500 rows x 1 columns]\n"
]
}
],
"source": [
"bio.show_system_snapshot()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "338bd51c-6b12-4cf0-8526-797389fbc55c",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" \n",
" "
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
30,
30.251300954433376,
30.502443181797695,
30.753268055279328,
31.00361714851215,
31.253332335643044,
31.50225589120757,
31.75023058975276,
31.99709980514407,
32.24270760949381,
32.48689887164855,
32.72951935517325,
32.97041581577035,
33.209436098072096,
33.44642923174517,
33.68124552684678,
33.913736668372024,
34.14375580993284,
34.371157666509326,
34.59579860621488,
34.81753674101715,
35.03623201635761,
35.25174629961296,
35.46394346734269,
35.67268949126756,
35.877852522924734,
36.07930297694605,
36.27691361290701,
36.47055961569444,
36.66011867434251,
36.845471059286886,
37.02649969798849,
37.20309024887907,
37.375131173581735,
37.54251380736104,
37.70513242775789,
37.86288432136619,
38.01566984870877,
38.16339250717184,
38.30595899195813,
38.44327925502015,
38.57526656193652,
38.70183754669526,
38.82291226434953,
38.93841424151264,
39.0482705246602,
39.15241172620917,
39.25077206834458,
39.34328942456612,
39.42990535892864,
39.510565162951536,
39.58521789017376,
39.65381638833274,
39.71631732914674,
39.77268123568194,
39.82287250728689,
39.86685944207868,
39.90461425696651,
39.936113105200086,
39.961336091431725,
39.98026728428272,
39.99289472640589,
39.99921044203816,
39.99921044203816,
39.99289472640589,
39.98026728428272,
39.961336091431725,
39.936113105200086,
39.90461425696651,
39.86685944207868,
39.82287250728689,
39.77268123568194,
39.71631732914674,
39.65381638833274,
39.58521789017376,
39.510565162951536,
39.42990535892864,
39.34328942456612,
39.25077206834458,
39.15241172620917,
39.0482705246602,
38.93841424151264,
38.82291226434953,
38.70183754669526,
38.57526656193652,
38.44327925502015,
38.30595899195813,
38.163392507171835,
38.01566984870877,
37.86288432136619,
37.70513242775789,
37.54251380736103,
37.375131173581735,
37.203090248879064,
37.02649969798849,
36.845471059286886,
36.66011867434251,
36.47055961569444,
36.27691361290701,
36.07930297694605,
35.877852522924734,
35.67268949126756,
35.463943467342695,
35.251746299612954,
35.03623201635761,
34.81753674101715,
34.59579860621488,
34.371157666509326,
34.14375580993284,
33.913736668372024,
33.68124552684678,
33.44642923174517,
33.20943609807209,
32.97041581577035,
32.72951935517325,
32.48689887164855,
32.24270760949381,
31.99709980514407,
31.75023058975276,
31.50225589120757,
31.25333233564304,
31.00361714851215,
30.753268055279324,
30.502443181797698,
30.251300954433372,
30,
29.748699045566624,
29.497556818202305,
29.246731944720672,
28.996382851487848,
28.746667664356956,
28.49774410879243,
28.24976941024724,
28.00290019485593,
27.757292390506187,
27.51310112835145,
27.270480644826748,
27.02958418422965,
26.790563901927904,
26.55357076825483,
26.31875447315322,
26.086263331627976,
25.85624419006716,
25.62884233349067,
25.404201393785122,
25.182463258982846,
24.96376798364239,
24.748253700387043,
24.53605653265731,
24.327310508732435,
24.122147477075266,
23.920697023053947,
23.72308638709299,
23.529440384305556,
23.339881325657483,
23.154528940713114,
22.97350030201151,
22.79690975112093,
22.624868826418258,
22.45748619263896,
22.294867572242104,
22.13711567863381,
21.984330151291235,
21.83660749282816,
21.69404100804187,
21.55672074497985,
21.424733438063477,
21.298162453304744,
21.177087735650467,
21.06158575848736,
20.951729475339807,
20.847588273790826,
20.74922793165542,
20.656710575433877,
20.570094641071353,
20.489434837048464,
20.41478210982624,
20.34618361166726,
20.28368267085326,
20.227318764318067,
20.17712749271311,
20.13314055792132,
20.09538574303349,
20.063886894799914,
20.038663908568275,
20.019732715717282,
20.007105273594107,
20.000789557961838,
20.000789557961838,
20.007105273594107,
20.019732715717282,
20.038663908568275,
20.063886894799914,
20.09538574303349,
20.13314055792132,
20.17712749271311,
20.227318764318063,
20.28368267085326,
20.346183611667264,
20.41478210982624,
20.489434837048464,
20.570094641071357,
20.65671057543388,
20.74922793165542,
20.847588273790823,
20.951729475339803,
21.06158575848736,
21.177087735650467,
21.29816245330474,
21.424733438063477,
21.55672074497985,
21.694041008041875,
21.836607492828158,
21.984330151291232,
22.137115678633812,
22.29486757224211,
22.457486192638967,
22.624868826418258,
22.796909751120932,
22.97350030201151,
23.154528940713117,
23.339881325657483,
23.529440384305556,
23.723086387092998,
23.92069702305395,
24.122147477075266,
24.327310508732435,
24.536056532657312,
24.748253700387046,
24.96376798364239,
25.182463258982846,
25.404201393785122,
25.628842333490674,
25.856244190067155,
26.086263331627976,
26.31875447315322,
26.553570768254833,
26.79056390192791,
27.02958418422965,
27.270480644826748,
27.513101128351455,
27.757292390506194,
28.00290019485593,
28.24976941024724,
28.497744108792432,
28.746667664356963,
28.996382851487848,
29.246731944720672,
29.497556818202305,
29.748699045566628,
29.999999999999996,
30.251300954433376,
30.502443181797698,
30.75326805527933,
31.003617148512145,
31.25333233564304,
31.50225589120757,
31.750230589752764,
31.997099805144074,
32.24270760949381,
32.48689887164855,
32.72951935517325,
32.97041581577035,
33.209436098072096,
33.44642923174517,
33.68124552684678,
33.91373666837203,
34.14375580993284,
34.37115766650933,
34.59579860621488,
34.81753674101716,
35.03623201635761,
35.25174629961296,
35.463943467342695,
35.67268949126757,
35.87785252292473,
36.07930297694605,
36.27691361290701,
36.47055961569445,
36.66011867434252,
36.845471059286886,
37.02649969798849,
37.20309024887907,
37.37513117358174,
37.54251380736104,
37.70513242775789,
37.86288432136619,
38.01566984870877,
38.163392507171835,
38.30595899195813,
38.44327925502015,
38.57526656193652,
38.70183754669526,
38.82291226434953,
38.93841424151264,
39.0482705246602,
39.15241172620917,
39.25077206834458,
39.34328942456612,
39.42990535892865,
39.510565162951536,
39.58521789017376,
39.65381638833274,
39.71631732914674,
39.77268123568194,
39.82287250728689,
39.86685944207868,
39.90461425696651,
39.936113105200086,
39.961336091431725,
39.98026728428272,
39.99289472640589,
39.99921044203816,
39.99921044203816,
39.99289472640589,
39.98026728428272,
39.961336091431725,
39.936113105200086,
39.90461425696651,
39.86685944207868,
39.82287250728689,
39.77268123568193,
39.71631732914673,
39.653816388332736,
39.58521789017376,
39.510565162951536,
39.42990535892864,
39.34328942456612,
39.25077206834458,
39.15241172620917,
39.0482705246602,
38.93841424151263,
38.82291226434954,
38.70183754669526,
38.57526656193652,
38.44327925502015,
38.30595899195812,
38.163392507171835,
38.01566984870876,
37.86288432136618,
37.705132427757896,
37.54251380736104,
37.37513117358174,
37.20309024887907,
37.02649969798849,
36.845471059286886,
36.66011867434251,
36.470559615694434,
36.276913612906995,
36.07930297694606,
35.877852522924734,
35.67268949126757,
35.46394346734269,
35.251746299612954,
35.0362320163576,
34.81753674101715,
34.59579860621487,
34.37115766650933,
34.14375580993284,
33.913736668372024,
33.68124552684678,
33.44642923174517,
33.20943609807209,
32.970415815770345,
32.729519355173245,
32.486898871648535,
32.24270760949382,
31.997099805144074,
31.75023058975276,
31.502255891207568,
31.253332335643037,
31.00361714851214,
30.75326805527932,
30.502443181797688,
30.25130095443338,
30.000000000000004,
29.748699045566628,
29.497556818202305,
29.246731944720672,
28.996382851487848,
28.746667664356952,
28.49774410879242,
28.249769410247247,
28.002900194855933,
27.75729239050619,
27.51310112835145,
27.270480644826748,
27.02958418422965,
26.7905639019279,
26.553570768254822,
26.318754473153213,
26.086263331627983,
25.856244190067162,
25.628842333490674,
25.404201393785122,
25.182463258982843,
24.963767983642388,
24.748253700387036,
24.5360565326573,
24.327310508732438,
24.122147477075274,
23.920697023053947,
23.723086387092994,
23.529440384305556,
23.33988132565748,
23.154528940713107,
22.9735003020115,
22.796909751120925,
22.624868826418265,
22.457486192638964,
22.294867572242108,
22.137115678633812,
21.984330151291232,
21.836607492828158,
21.694041008041868,
21.55672074497984,
21.42473343806348,
21.298162453304744,
21.177087735650467,
21.06158575848736,
20.951729475339803,
20.847588273790823,
20.749227931655415,
20.656710575433877,
20.570094641071357,
20.489434837048464,
20.41478210982624,
20.34618361166726,
20.28368267085326,
20.227318764318063,
20.17712749271311,
20.133140557921315,
20.095385743033486,
20.063886894799914,
20.038663908568275,
20.019732715717282,
20.007105273594107,
20.000789557961838,
20.000789557961838,
20.007105273594107,
20.019732715717286,
20.038663908568275,
20.063886894799914,
20.09538574303349,
20.13314055792132,
20.17712749271311,
20.227318764318067,
20.283682670853263,
20.346183611667264,
20.414782109826245,
20.489434837048464,
20.570094641071357,
20.65671057543388,
20.74922793165542,
20.847588273790826,
20.951729475339807,
21.061585758487368,
21.177087735650474,
21.29816245330474,
21.424733438063477,
21.55672074497985,
21.694041008041875,
21.836607492828165,
21.98433015129124,
22.137115678633815,
22.294867572242115,
22.45748619263896,
22.624868826418258,
22.79690975112093,
22.97350030201151,
23.154528940713114,
23.339881325657487,
23.529440384305563,
23.723086387093,
23.920697023053954,
24.122147477075266,
24.32731050873243,
24.53605653265731,
24.748253700387046,
24.963767983642395,
25.182463258982853,
25.40420139378513,
25.62884233349068,
25.85624419006715,
26.086263331627972,
26.31875447315322,
26.55357076825483,
26.790563901927907,
27.029584184229655,
27.270480644826755,
27.51310112835146,
27.7572923905062,
28.002900194855926,
28.24976941024724,
28.49774410879243,
28.74666766435696,
28.996382851487855,
29.24673194472068,
29.497556818202312,
29.748699045566635
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Initial System State"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
18.889766175513152,
41.11023382448685
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "iVBORw0KGgoAAAANSUhEUgAABb8AAAFoCAYAAAB38YZnAAAAAXNSR0IArs4c6QAAIABJREFUeF7snQmclVX5+J87+75BouaWWmmGombR4lL+82ca5pKIiqEoIChuBIKAiKJsIq4gooACQVCYkWaluZWR5kqKueWWCsoMs+/3/j/njHeYGWa5y7uc897v+/n4EYb3fc5zvs8ZuPc75z4nFIlEIsIFAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAgQgRDyO0DVZCoQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCgCSC/WQgQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEmZEAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCCC/WQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQOALI78CVlAlBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA8ps1AAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAoEjgPwOXEl3TuiWJevkuZffkMVzrpTS4sIAz5SpQQACEIAABCAAAQhAAAIQgAAEIAABCEAAAhDoTAD5HeOKeP7lN+T8K+Z0uvuGSSPl9JOOiTFC220VldUydvJC2WfP3WTmxJGSm5Ml77z/sYyZtEDGjfjZLvGUwH7kr/+UJfMmyAH77hnXWPHK7w2PPC3T5y3bZYwVt06WowYdFNfYsd4cb46xxnXqvvqGJpkxf5k8/PimTiEHHrx/px8qROv67UEHyVVjhiY0vBMxEhqYhyAAAQhAAAIQgAAEIAABCEAAAhCAAAQgEEACyO84ihoVoR98vC3h3dQmyu/ovF7891u7SHYlp+9b84gkIvpjQWuy/I7+UOKIb361/QcVHX+A8Xl5ZTsvJ8S1EzFiYc49EIAABCAAAQhAAAIQgAAEIAABCEAAAhBIBQLI7ziq7IT87m643nZ+x5HeLrfGKpaju9p72uGt8nv7vx/J/x337WTS6fbZWHN0fOAYAvaV25+efE4O/Mpeeke+E+LaiRgxTItbIAABCEAAAhCAAAQgAAEIQAACEIAABCCQEgSQ33GUuTf5HRWlN00ZJdfMXiqbt7yrI598/OBudw1H22NExfcnW7d3yuTCs0/S7TO6Ctie2nB0HUcF60veRgdU7U4W3f9QTK1Veru36591l2vHPKO7yjtOfI8B/Trl0bUVS088hw45Tofp2LYlulu96zix7GKP5q5iRtvT9LRUotI6WvPofdFcGxobdaubrn8erbG6v68Yqj2OuvriEcdy5lYIQAACEIAABCAAAQhAAAIQgAAEIAABCASaAPI7jvL2Jb9Ve5COvaC728nb3df66vnd8dBKlcP8xWvl3NP/X3sP8J5EbazyO7rzuzuB3hVPT7uToznsvluZlvbd5dTdsz3l2BPrrvd3lMYdpXZHSdz167GK/nhavvS2a1v92ezbV8uUy85tP3g01rUR5R8rjziWM7dCAAIQgAAEIAABCEAAAhCAAAQgAAEIQCDQBJDfcZS3L/ndUVJHwyoJu27jk+09wpOV3z2lqwT2lNlLO+2ajlV+q5jdHXbZdRd2T3NSX+/aOqUnoa8YPr3p5fYWKj3l2N181Dhd40Z5qp3fHQ8fjffr3XGNZ5d9Ii1LYlkb0bxi5RHHcuZWCEAAAhCAAAQgAAEIQAACEIAABCAAAQgEmgDyO47yJiq/O+40dkp+xyKr45HfUQzdtWHpKsG7E9tqrE+3lbe3COm4I7unXuJqzJ5y7Bovml/XHebxSu6e7u9rGXTHu+NO+Vjkd3dtXvr6pEA0r1h59DUP/hwCEIAABCAAAQhAAAIQgAAEIAABCEAAAqlCAPkdR6VNkN9Ryfp5eWWnXd7J7vzuCUNUdB/xza926n3dUcZ+vPVzGTNpgcyeMkqOGnRQe6ju+lh3lL09ye+edlx3zDHaL9sr+d2VT1SGR1uq9Ca/owz7lxW3fwJAxYt153c8POJYztwKAQhAAAIQgAAEIAABCEAAAhCAAAQgAIFAE0B+x1FeE+R3TwdOuiW/exLUUaGrhPeHH2+TTS+83ufBkN31Fo9353fXcvklv7vK7t7kd09zjFV+R2vQcWd9HMuWWyEAAQhAAAIQgAAEIAABCEAAAhCAAAQgkJIEkN9xlN0t+d1bK46u4jSeHtmxtj3505PPyYFf2av9AM2OSHo6TLPj1z/4eJt07bmt5Hh9Q6N88+tf6US4a05dBXD05p4kv1fyW83vtw8/JWecfKzk5mTtskq6tn7p2o4l+kBP/NSfd517TzGi98Z6UGccS5pbIQABCEAAAhCAAAQgAAEIQAACEIAABCAQWALI7zhK65b87k2QdpXFXQ+WVOlHv9a1N3es8jvawqNjD2sVN5rXi/9+q1OLlSiy6LhdW5moP++uL3h3u6O7m09fY6t81aUOuHRr53fHViPR1ibReffWCqanQ0+7iuso81jawMTDI47lzK0QgAAEIAABCEAAAhCAAAQgAAEIQAACEAg0AeR3jOWNStqOt3eUor21tujrwEsVs2t/7GhP6+7ids1F3Xv0dw6VKbOXdpLUscrvjgK9K45oHt1h6uvwyL6YRWN2PEyyq8Dv7qDJ7g6J7LrzPF4p3tMy6O6QSnVvd4d4du3N3fGHCV3nodaOutZtfLJTH/DeYqj7++IR43LmNghAAAIQgAAEIAABCEAAAhCAAAQgAAEIBJ4A8jvwJXZvgrG2JnEvAyJDAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEOieAPKblZEQgd4OeEwoIA9BAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEHCQAPLbQZipFIpd36lUbeYKAQhAAAIQgAAEIAABCEAAAhCAAAQgAAH7CCC/7asZGUMAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAfBJDfLBEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+c0agAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgcARQH4HrqRMCAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJDfrAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAIHAHkd+BKyoQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA+e3AGvh4e70DUQhhI4H+RdlSVd8sTc1hG9MnZwcI7NkvV/g7wAGQlobIykiTovxM+byy0dIZkHayBApyMyQUCkl1XXOyoXjeUgL9irKlpr5ZGnktYGkFk097j7Jc+bS8XiLJhyKChQQy00NSUpAln/FawMLqOZNyQU6GpKWFpIrXAs4AtTBKWWGW1DW2SkNTq4XZk3IyBJQP4DKfAPLbgRohvhyAaGkI5LelhXMwbeS3gzAtDIX8trBoDqeM/HYYqIXhkN8WFs3hlJHfDgO1LBzy27KCuZAu8tsFqJaFRH5bVjAH00V+OwjTxVDIbwfgIr8dgGhpCOS3pYVzMG3kt4MwLQyF/LawaA6njPx2GKiF4ZDfFhbN4ZSR3w4DtSwc8tuygrmQLvLbBaiWhUR+W1YwB9NFfjsI08VQyG8H4CK/HYBoaQjkt6WFczBt5LeDMC0Mhfy2sGgOp4z8dhioheGQ3xYWzeGUkd8OA7UsHPLbsoK5kC7y2wWoloVEfltWMAfTRX47CNPFUMjvDnDrG5pkxvxl+iszJ46U3Jws/esNjzwt0+e1ff3k4wd3+jP1NeS3iyvU8NDIb8ML5EF6yG8PIBs8BPLb4OJ4lBry2yPQBg+D/Da4OB6lhvz2CLShwyC/DS2Mh2khvz2EbehQyG9DC+NBWshvDyA7MATy+wuIUfH98OObOgnu519+QxYsWSeL51wppcWFcsuSdfqJq8YMbceP/HZgJVoaAvltaeEcTBv57SBMC0Mhvy0smsMpI78dBmphOOS3hUVzOGXkt8NALQuH/LasYC6ki/x2AaplIZHflhXMwXSR3w7CdDEU8vsLuEpq77f37vp3m154vX13d/Trp590jP6zrjJcfQ357eIKNTw08tvwAnmQHvLbA8gGD4H8Nrg4HqWG/PYItMHDIL8NLo5HqSG/PQJt6DDIb0ML42FayG8PYRs6FPLb0MJ4kBby2wPIDgyB/BbptJtbtTiJym/FV7VBGXzkNyQqv995/2OZOnup3DhllByw7566BMhvB1aipSGQ35YWzsG0kd8OwrQwFPLbwqI5nDLy22GgFoZDfltYNIdTRn47DNSycMhvywrmQrrIbxegWhYS+W1ZwRxM11T53d3GXQen7VmoispqGTt5oUwYM1SOGnRQwuOmvPxWsvu9Dz9tb2PSnfw+c8hx7ZC7k9/Vdc0JF4AH7SaQl50hjS2t0toaSXgioa1bJVS5Q0IVFRKqrJTQDvV/9fsdIurXO9T/d7R9Lfr/CvXrik5jRkpKJVJcJJGiYpHiEokUFuhf6/+KiyRUor5WKJHiL75WWiqRAbtLeL/9Es6dB0UKczOluj51/w6IREISCiW+/m1fQ+lpIcnOTJe6xhbbp0L+CRJQPwARCUlTS2uCEXjMZgLq78C87HRpbmmVlnDq/l1ocw2dyL0gJ1NqG5ol0RUQqq0Vib4GVK/1Or7eq9whUlEuoR1fvEasqhJRrxn1a8RKCVVXdX492K9/++tB9ZpP1Gu/L14L6teIJSUiRUUSKSySSP/+ElG/Vq8Hv/xlJ1CkZIz0UEiys1LztUAkIhIKpWTZO006Kz1NQqGQfl/IZSiBRP+CjnE6ufq1QERaWsMxPsFtQSFQmJfpy1Q6tm7umMANk0bqzbt+ym/lVddtfLK9fXQygJDfydDr8Kxqa3Lfmkd2iaYOtpw8frjMuWNVnzu/q5DfDlXDvjDqDW9jc1haY3jDm/bBB5L+6iuS9tILkv7Ky5Kmfv2//xkx6fA++0jrYYdL+PAjpHXQERIeeKiE99jDiNxMT6IoP1OqalNYfotIWgq/60lPV/I7TeoaeLNj+veqW/llZao3vCKNTbzZcYuxyXHDEhG140+/FkjiB+Emz5Hc+iZQmJch1XWx/RA0bcvrba8H1WvBl1/Svw5VlPc9iAd3hA86WFoHHS7hQYdL6+FHSPiwQVqSc/VOIC1NJDcrXWpT8LVAayQi6kfAqX7xWsCCFeDyD2nU3wHNrWFp4bWABYvB2RSLfJDfalPumEkL5KQffafTeYRKFE+5aalMHDdMyiuqOp1f6OysvYuG/HaJdced37k5WboliuoFTs9vl4BbHranticZb70pma9vlsyXXpDMV1/W/6WpHdzdXOGyMgkXlUikpETC6r+iL/6vduYUl0q4uLjt6yVleneO/nVxiYT79e8ULa18u6RVVUqoqkrSqqv1TvE0/Wu1K6i6bRdRVaX+M3Vf2vbPJW3rp5K+9dPu8+rXX5oGHSHNhw6SlsMOl+aBh0rLvl+xvGLOp0/bE+eZ2hSRtic2VcudXGl74g5Xm6LS9sSmarmTa09tT9Trv6xXX5aMf78qmS+/KJn/3iyhhvruX3f1/1Lba7zSMgmrXdkl0deA6pN9X7xO1K8Jy/RrQ7WrO6xeJ6rXi19cKrZ67ad2g+v/19RImtohrn9fqX+vPmmof62+pv7btk2/FlSvI7u71Gs//Rpw0JHSfOhh0qQ2S3R5DeoOVXui0vbEnlq5lSltT9wia09c2p7YUyunM/W67Ul0x/fuu5V1Et9d5xXd+a3ahUyZvVQ+2dr27/yKWyd3ah8SFenRP7/w7JPa40bF8wVnnSjLf/2obN7yro6hdpcfdsiBWsB3F7erV1XPdB1n4MH7653h6lJtTaKx1e+7y4G2Jw6v3K5F6vpRASXD1XXVmKHtI9Pz2+EiWBROye+6514QefFFyXz1lTbRvfkVCdXX7TKLSEGBNH/zMC2U22TyYdJ80MFGzDbWN2eqbYp609N86OHSMvAwaVJi/OuJ910yYvJJJoH8ThKg5Y8jvy0voAPpI78dgGh5COS35QV0IP09ciJS/vQmyVCvBV95STKV7N78SreRw/2/pF8D6g0GR3xLmr85UFr33teBLJILEaqr1TlnvfKSZKjXs6+8LJlbXus2aOuA3dtex6rXtPr14GFGzCE5Aok/jfxOnF1QnkR+B6WSic8D+Z04O9uf9Fp+RyXy7Cmjeu2BrVzm+VfMEdXVYubEkaI293ZtR9K1rXNXsR6V36pGSlSXFhfqdioqblReR7+2YMm69nu6etXucv7Tk8/JgV/ZS8pKCmX52j/K2BGn6hyjYw4dcpzehMzOb5e+Q7r7CYX62vR5y/SIHRdONAXkt0vFMDRs+ofvS86f/ijZj/9Zcv72lEj9rjt41C4c9YZAvzE4/EhpPmSgtBzwVUNn1H1a6g1P5uZX294A6TdDL+odQ10vJfUbjjteGv/vJGk44ScptxsI+W3VsnY8WeS340itC4j8tq5kjieM/HYcqRUB1caBnMf+JNmP/0Wy/vls95L4y3tJs940MKjt/988VFr32NOK+UWTzHrxX/p1YMYXUl/9vrurdbcB0nj8j6XxhJOk4fgfSyQv36p5JpMs8jsZesF4FvkdjDomMwvkdzL07H7Wa/mt5LPayb1k3gQ5YN+eX1N01/O7q+zu2ulCVaLjc+r3XQ+b7E5Gd/1adx01VKyOm4h7q3rHsxmR3wZ9fyC/DSqGS6moF/rZf3pEch59WDJf29xplPDue+gd0PqNjRLe6o3NXnu7lIm/YTP++47+yG7Gyy/oj/Gq3e6qfUrHq+lb35bGE38qDf/3E2k++BB/E/ZgdOS3B5ANHgL5bXBxPEoN+e0RaIOHQX4bXByHU8t+4nHJ0a8H/yDpH33YKXrL/ge274bWmx9Ue5DSUoczMCOcei3cJsRf1jvF1U53tXO849X4w+OlQW2MGHKaqJ3iQb6Q30GubmxzQ37HxinIdyG/g1zd3udmq/zec0B/mTF/mTz8+KZdJti1JUnHliPxym8VXI1z5pDjetyp3rUlinomuvG4obFxFwGfyGoLRSLqjGauZAggv5OhZ+6zOX95VLL//EfJ+eMfJP3TT9oTVUK34eRTpPmo70jhd78llcX9pak5dQ86S//wA/2mR+16ytn4kGS8/992Vq377Cf1Jw2RxhNPlsYfHGNusZPIDPmdBLwAPIr8DkARk5wC8jtJgAF4HPkdgCL2MAV1Zkruw7+X7D89LDmP/6WT4G383tH6U2/Nhx8hZccMlk9bMiWV31RlvrGlrd3Lpr9L7u83SFr5zkM81Q8CGk4aoj8hqH4wELQL+R20isY/H+R3/MyC9gTyO2gVjX0+XsvveNqedGxFombUced3VH4PPvIb7Wccdp11LKJbPdPbzu++5He000bHXuQdd44jv2Nfi67fifx2HbEnA6gDKdXO7uxH/yA5f31s5xucUEiaDj9S71ypP/X0Tj0Nezrw0pOEDR1EtUvJ+f2DkvOH30nmltfbs1StYBp+fKI0/uSn0vD//i8wH4dFfhu6ED1KC/ntEWiDh0F+G1wcj1JDfnsE2qNh0v/3keQ+/JBk//EPkv2Pv4u0tOiRI5mZ0vSDY6XhlNOk/uRTJFzWrz2jng689Chl84YJhyV7098l5/e/k5xHfi/pH/+vPUf16ciGE0+Whp8Mkabv/UBztf1CftteweTzR34nz9D2CMhv2yuYeP5ey+++DryM9tIur6iS3uS3apnS3ZmGHUk4Ib9VH+/exumu9QryO/H16OqTyG9X8boaPP2D9yR340N6d3fW85tEWlvbxktLk6Zvf1caTjlV6n96qrT4y89oAAAgAElEQVTu+eVu80B+916ejPfeldzfbZCcjQ/qA6CiVyQrS5q+f4w0KBF+8ilWfxwW+e3qt6jxwZHfxpfI9QSR364jNn4A5LfxJeozwayXXpDsRza2tbfrcMhjJDtHGn/0//QGCCVsw0VF3cZCfveOOOuF5/Vrwa6fEFQ8G390gjSc9FNp+PFPRB2sbuOF/Laxas7mjPx2lqeN0ZDfNlbNmZy9lt8q6+ju75N+9J1OfbSVSH7kr//U/cBjkd/RwytvmDSyffe3Et7RAyi723UdixDv2vM7Ok7H3d1RSf/Qo3+TT7eVtx/KGZ3bEd/8qv4aO7+dWaeOREF+O4LRsyAZb78luWtXSu4fHhL1645X47E/lIafnir1Q06VcP8v9ZkT8rtPRO03qN6YueqNz+9/1/aDhg6X+gis2klVN/Qcaf3yXrEHNeBO5LcBRfAxBeS3j/ANGRr5bUghfEwD+e0j/CSGzv7H3yRnw3rJ3fg7Sfv8s/ZIkdy8NhmrfkB/wk9i+qQa8jv2Qqhe4Tkbf6dfE2a89Wbn1+FHH9v2ScufD+vxBw2xj+Tdnchv71ibOhLy29TKeJcX8ts71qaN5If8VgyiO8A79uyO9uouLS7sdHCl+r26uh54Gf3amEkL5JOt29vRRmV4LKJbPdTXgZfqnqgAjw4SzTUnO7tT73HV6/vQbxwgr77+DvLbtMWO/DatIt3nk7d2leStuFey/vVcpxtUCw4lXhtOOkVUa454LuR3PLR23pu+bat+46N2AWX/7enOb3yOOU7qLhgl9UNOSyy4x08hvz0GbthwyG/DCuJDOshvH6AbNiTy27CC9JJOWlWV5N1/n+QvXyrq03/RS+04VmeUqA0QSnrHeyG/4yXWdn/Gu29L7u9+q18TKine8ar7+VlSN3K0/iSm6Rfy2/QKuZ8f8tt9xqaPgPw2vULu5eeX/HZvRsGMzIGXDtQV+e0ARJdCqIOK8u+/TwruulXSPtvWPkrjMcdJ/TkjpP4nJ0skvyDh0ZHfCaNrfzCtokIfjJT7619J1nP/aP+66glZM/4qqTv3FxLJyU1+IJciIL9dAmtJWOS3JYVyMU3kt4twLQmN/Da/UOkfvi/5d9+lXxOGGurbE1aCtWHoOdLwox8nNQnkd1L49MOqRnkbfiO5q+/XUjx6qcMya674pdGbIpDfydff9gjIb9srmHz+yO/kGdoaAfltR+WQ3w7UCfntAESHQ6R/+onkL7pd8lfc235wpdrVUzNytNSNHONYaw3kt7OFU21o8pbdI/krl0uovk4HDxcXS+0Fo6V27HgJ9+vv7IAOREN+OwDR4hDIb4uL51DqyG+HQFocBvltbvEyX35RCu66TXIfXN+epP7h+qVXSP3Qcx1rrYH8dnYNqJY0ecvvldwN63apW93w843bFIH8drb+NkZDfttYNWdzRn47y9OmaMhvO6qF/HagTshvByA6FCLjP29Iwa3z9EcoQ83NOmrL/gdK7cWXSt3Zw0X1cXTyQn47SXNnrFBNjeSvXCb5SxdL+gfv6z+IZGVL/c/PkprLJkjLgV91Z+AEoiK/E4AWoEeQ3wEqZoJTQX4nCC5AjyG/DStmJKIPriy481bJ+uez7ck1Hn2s1F48XvfxllDI0aSR347ibA+mN7MsuVPyVi6XtB079NfDpaVSe/4o/drelE0RyG936m9TVOS3TdVyJ1fktztcbYiK/LahSiLIbwfqhPx2AGKSIbKfekIK7rxFsp94fOebnO8fI7XjLnPlTU50EOR3koXr6/FwWHIf2Sj5d98pWZv+3nZ3KCQNx58gtZdcIeqNrN8X8tvvCvg7PvLbX/4mjI78NqEK/uaA/PaXf3T0UFOj5P1qpf7kX7RtRiQ7R+rPGOr6D86R3+6uAdWqJm/NKi3Co4fVm7QpAvntbv1tiI78tqFK7uaI/HaXr8nRkd8mV2dnbshvB+qE/HYAYiIhWlv1Du+CO26RzH+/qiNEMjOl/rSfS+34q6T54EMSiRrXM8jvuHAldXPmltck/86FkvvgbyTU1KRjNQ88TGouvVLqf3a6SEZGUvETfRj5nSi5YDyH/A5GHZOZBfI7GXrBeBb57W8d08rLJf+euyR/2T2SVr5dJ9M6YHepu3CMbpumdgq7fSG/3Sb8RXy1q/+vf5H8u+/YueHFgE0RyG+P6m/wMMhvg4vjUWrIb49AGzgM8tvAonSTEvLbgTohvx2AGEcI1QtaHVikdgOnf/ShflJ/BHLERVI3epy07jYgjmjJ3Yr8To5fIk+nff6Z5N97t+7nrn6t3+R+eS+pHXOJ1I64MKkDTBPJB/mdCLXgPIP8Dk4tE50J8jtRcsF5DvntTy0z/vuO5N9+i+StWyOhxgadhDocUbU2qT/1DL0hwqsL+e0V6Z3jqN39+Xfe2lb/Lw4x9WtTBPLb+/qbNiLy27SKeJ8P8tt75qaMiPw2pRK954H8dqBOyG8HIMYQIn3bVsm7+w4pWL5UQtXV+omW/fbXrU3qzjnPl8NvkN8xFM7FW9TBmPmLb5eMN/+jR4kUFGgBrnaDh7+0m4sj7wyN/PYEs7GDIL+NLY1niSG/PUNt7EDIb29Lk/Wv56Tg1vm6r3f0qj/tTKm9cLQ0Df6+t8l8MRry2xfsetC0ykrJX7ZE8u9ZJGmfbdNfUzv/ay+9om1TRF6+68khv11HbPwAyG/jS+R6gshv1xEbOwDy29jSdEoM+e1AnZDfDkDsJUTGW2/q1iZ5v3qg/a7GHxwjtWMvk4b/O8ndwfuIjvz2FX/74NnPPCX5SxdJziMb27+mJfiVk6R1r71dTRL57Spe44Mjv40vkesJIr9dR2z8AMhvb0qU/fSTUjjvxvYzQPQPvM8bqT/55fa/9X3NEPndFyFv/jx3wzrJX3yHZL30gh5QfzJ0zKVSO/oSCRcVuZYE8ts1tNYERn5bUyrXEkV+u4bW+MDIb+NLpBNEfjtQJ+S3AxC7CZH56stSsGCO5D78+/Y/rTvrHH3QYfM3vunOoHFGRX7HCczl2zPee1cKFsyVvDUr20eqGXe51EyYLOHiYldGR367gtWaoMhva0rlWqLIb9fQWhMY+e1uqdSZH0XXTpHsJx5rE5r9vyQ146/SO70jObnuDh5jdOR3jKA8uk0dkl5wyzzdH1yvmbIyqZ40TWovutiVDJDfrmC1Kijy26pyuZIs8tsVrFYERX5bUSbktxNlQn47QXFnjPQPP5Ci66ZK7kO/1V+M5OZJzaiLpe7i8Z72845lVsjvWCh5f0/6x/+TwtkzJW/NqrY3PcXFUvPLKVIz9jLHk0F+O47UqoDIb6vK5UqyyG9XsFoVFPntTrlUC4vCG6+T/FUr2l4PFhRI9dXTpHbkaIlk57gzaIJRkd8JgnP5sczNr0jR9Ksl+29P65Fa9v2KVM+4QepPOd3RkZHfjuK0Mhjy28qyOZo08ttRnFYFQ353LldFZbWMnbxQ9tlzN5k5caTk5mQZUU92fjtQBuS3AxDVxxCqq6XwljlScMfCtjc5OblSM3qs1F56ld6xYeKF/DaxKjtzynz931J0zS93vunZb3+pvu5Gqf/pzxxLHPntGEorAyG/rSybo0kjvx3FaWUw5LezZQvV1UrBbQuk4M5b2w+yrBk1TmqunibhkhJnB3MoGvLbIZAuhcl57E9agqtWiupqOmqwVM6+WZoHHeHIiMhvRzBaHQT5bXX5HEke+e0IRiuDIL87l+35l9+Q9RuflKqaOpk4bpgcsO+eRtQV+e1AGZDfSUIMh/WunsKbZkra55+JhEJSN/Rsqb52lj6wxuQL+W1ydXbmpt70FF53jWS+saXtTc+RR0nl3IWOvOlBftuxBtzKEvntFll74iK/7amVW5kivx0i29ra9npwzg3tBxeqHbpVM2+U1r33dWgQd8Igv93h6mhUtb5WLpfCubN2rq9Tfy5VM2+S1i/vldRQyO+k8AXiYeR3IMqY1CSQ30nhs/ph5Hfn8t2yZJ0c/Z1D5Zl/vir77b27nH7SMUbUF/ntQBmQ34lDVIcXFV0zYaeU/PZ323ZiHHZ44kE9fBL57SHsZIdSb3pW3y8Fc26Q9G1bdTQn3lQjv5MtjN3PI7/trp8T2SO/naBodwzkd/L1y/nzH6Vo5lTJ+M8bOpiTP6ROPru+IyC/+2Zkyh36kwUL50vB4jsk1FAvkawsqb1orFRPvEYihYUJpYn8TghboB5CfgeqnAlNBvmdELZAPOSb/N6+XWTzZu8Z9usnMnBgt+Oqliezb18tUy47V97+7//0DnBTWp8gvx1YKsjv+CFmvPu2FE27WtSbHXW17rOvVM2YJfU/OyP+YD4+gfz2EX6CQ7d/nHrR7RKqr2t703PBaKmZeE1CH6dGfidYiIA8hvwOSCGTmAbyOwl4AXkU+Z14ITP//aoUT7pSsp77hw7SotqTqZ7MQ05LPKgPTyK/fYCe5JDpn34ihbOulbx1a0TCYQmXluoD0msvvFgimZlxRUd+x4UrkDcjvwNZ1rgmhfyOC1egbvZNfm/cKHLKKd6zHDJE5Pe/73Zc1fJE7fi+asxQifb+njBmqBw16CDv8+wyIvLbgRIgv2OHmFZVJQWzr5f8FUsl1NysDy+quWKS1IwbL5Gs7NgDGXIn8tuQQiSQhjpIq+j66ZL369Vtb3rUoZjqTc9FY7UQj/VCfsdKKpj3Ib+DWdd4ZoX8jodWMO9FfsdfVy0eZ06VvN/8WiQSaROPv5witSPHxC0e4x/d+SeQ384z9Spi5pbXpejqKyX72Wf0kIkcion89qpa5o6D/Da3Nl5lhvz2irR54/gmv599VmTqVO+BfPe7IjfdtMu49Q1NMmP+MjlzyHHtslu1QFGXkuF+X8hvByqA/I4BYkuLFCy/Rwrm3ShpFRUiaWlSd/Z5UjX9egn3/1IMAcy8BfltZl3iySrjzf9I8S8va3/T07rPflI1fabUn3ZmTGGQ3zFhCuxNyO/AljbmiSG/Y0YV2BuR37GXNlRTIwUL50rB3XfpwyzVxofaiy5OquVE7KO7dyfy2z22XkXuej6MOgxTnQ+jWvD0dSG/+yIU/D9Hfge/xn3NEPndF6Hg/rlv8tswpO+8/7GMmbRAPtm6vVNmAw/eXxbPuVJKixNrLebUNJHfDpBEfvcOUfdxvHayZLz9lr6x8XtHS5Xq631I932CHCiJZyGQ356hdn2gnL/+RQpnTBG1A0hdsb7pQX67XhqjB0B+G10eT5JDfnuC2ehBkN8xlKelRfJX3CuFahNE+XZ9uHm9OmzwuhuTPmwwhtFdvwX57TpibwYIh/Whq53OhxlyqlRdP7vXQ1eR396Ux+RRkN8mV8eb3JDf3nA2cRTkd1tVNjzytGx64fVOPb672w3uVw2R3w6QR353D1F/jHDaRMl+6gl9g/oYYdWsudLwk586QN2MEMhvM+rgZBZ5q++Xwhuvaz8Us+H/TpKqG+ZIy/4HdjsM8ttJ+vbFQn7bVzOnM0Z+O03UvnjI795rlvOnR/Q5Lxn/fUff2HTU4LbDzQcdYV+xe8gY+R2YUuqJ6PNhbr9FCu5YqD+hoK7akaOlevK1Ei4r22WyyO9g1T+R2SC/E6EWrGeQ38GqZzyzQX6LRCX34CO/IaefdEwnfEqKv/fhp763PkF+x7Oqe7gX+d0ZTNr2z6XwppmSf/99+g/CRUVSc9Vkqbn0CgdomxUC+W1WPZzKJtRQLwW3zJOCu25rf9NTc8nlUjNhil7PHS/kt1PU7YyD/Lazbk5mjfx2kqadsZDf3ddNb4KYcpVk/+1pfUPLVw6QatVW7JTT7Sx0L1kjvwNXUj2h9vNh1qzUv48UFkr1NTOkZtS4ThNGfgez/vHMCvkdD61g3ov8DmZdY5kV8jsWSv7fg/x2oAbI750Q85cvlaLrp0moulp/sXbEhVI99ToJl/VzgLR5IZDf5tXEyYzSt22VwuunSd7a1TpsuF9/qbzpZqk/Y+eBDchvJ4nbFwv5bV/NnM4Y+e00UfviIb8710z9ALnoummSf+/iNmGYXyDV11wrNWMuta+4MWaM/I4RlKW3ZW55TYomXSnZ//ibnkHL1w+SHbcvae8Hjvy2tLAOpo38dhCmpaGQ35YWzoG0kd8OQPQgBPLbAcjIb5H0/30kJZeOkuxnntJEG4/9oVTetEC/OAzyhfwOcnV3zi3r+X9K8YTxkvn6v/UX608+RSpvuVPLcOR3aqyBnmaJ/E7t+qvZI79ZA8jvDv9e/vNZKRk3SjLe/6/+Yt05v5CqGbP0v5dBvpDfQa7uzrnlPrheiqZOam+NVzP+SqmacaMgv1Oj/r3NEvnNGkB+p+4aQH7bUXvktwN1SnX5nf/AMn2gZaimRlr33keqbpgr9T/9mQNkzQ+B/Da/Rk5mqNqgFM2YokOGS0ulcv5tUnrheZLqfwc4ydi2WMhv2yrmfL7Ib+eZ2hYR+S2idnsXXn+tFNxzly6fOudlx6Kl0vSd79lWzoTyRX4nhM3Kh9T7neKpE0WdEaPX+le/JtVLlkvB0YPls8pGK+dE0skTQH4nz9D2CMhv2yuYeP7I78TZefkk8tsB2qkqvtI//aRtt/eTf9UUq6+6WvfBS6UL+Z1K1W6bq9rNVnLJaMna9Pe2L5x2mnw657bA72pLvUrHNmPkd2ycgnwX8jvI1Y1tbqkuv7P++ayUXjxS0j/8QAOrGXe5bnMSycmNDWAA7kJ+B6CIcU4h+9lnpGTcRZL+0Yf6ydZJV8vWSan1PihOZIG+Hfkd6PLGNDnkd0yYAnkT8tuOsiK/HahTKsrv/FUrpGj61bq3d8uBX5WK+1ZJ8yEDHaBpVwjkt131cizbSETyl90jRddPl1BtjYTLyqRy7kKpP+1Mx4YgkB0EkN921MnNLJHfbtK1I3aqyu/23d5LF4lEItKy/4FScc8KaR50hB2FczBL5LeDMC0Kpb8HZl3X9omHcLjtPdGSFdJ82OEWzYJUnSCA/HaCot0xkN921y+Z7JHfydDz7llf5XdFZbWMnbxQNm95d5cZDzx4f1k850opLS70jkaCI6WS/Na7vS+5SLKfekIkLU1qxo6X6qkzJZKVlSA9ux9Dfttdv2SzT//4fzLg8tEiTzyhQzWceLLsuG0xu8CTBWvR88hvi4rlUqrIb5fAWhQ2FeV31nP/aNvt/cH7IhkZUj3+KqmZeE3Kvh5Eflv0DetCqrmvviQlo8+X0NtviaSnS824y6R6yoyU/X5wAbHxIZHfxpfI9QSR364jNnYA5LexpemUmK/y+5Yl63QyV40ZagetHrJMFfmtetsVT5ukd3u37rOvVCx9oP2Uc6sLmETyyO8k4AXkUfWP3Y47luhPQqRVVrILPCB1jXUayO9YSQX3PuR3cGsb68xSSX7rna4zp0vBvYv1bu/mgw+RHWq398GHxIorkPchvwNZ1pgnpQ+8zBJpmDpdCu+8VaSlhV3gMdMLxo3I72DUMZlZIL+ToWf3s8hvO+rnm/xWu76n3LRUJo4bJgfsu6evtJSEv2/NI+05rLh1shw16CD9+3fe/1jGTFogn2zd3v7nXXelB11+d9rtHQpJ7QWjpOr62SnVy7GnBYr89vVb14jB1T926u+AtM8/k9KxIyX7icd1XuwCN6I8rieB/HYdsfEDIL+NL5HrCaaK/O6421t94k/t9K6+bILe6ZrqF/I7tVeAlt8FWfrAy8wtr0nphcMl483/sAs8hZYF8juFit3DVJHfqbsGkN921D7l5beS8MvX/lHGjjhVcnOytOyeOnup3DhllJbyXX/fXVmDLL/zfvWAFE2bJGlVVdK6+x6yY8kKafz+0Xasbg+yRH57ANnwIaLyO5pm7oZ1Ujx5gqSVb2cXuOG1cyI95LcTFO2Ogfy2u35OZB90+b3Lbu9BR+je3qrHN1cbAeR3aq+EjvJbkQg1N0vB7QukYMEcCTU1sQs8BZYH8jsFitzHFJHfqbsGkN921N43+a3wqB3X++29u5x+0jHG0Ir2IZ8wZqje/Z2q8rvTbm8RqTt7uFTOvkUiBQXG1MqERJDfJlTB3xy6ym+VjRLfxZOulNzf/UYnxy5wf2vk5ujIbzfp2hEb+W1HndzMMsjyu9Nu75xcqb7mWqkZe5lIKOQmUutiI7+tK5mjCXeV39Hgavd36egRkvnvV9kF7ihx84Ihv82ridcZIb+9Jm7OeMhvc2rRWya+ym8llldveEwmjh2md12bcD3/8hsyZfZSWTJvQvvO745tT7o7iDNoO7/z1qyUoqkT9W7vcL/+smPRvdJw/AkmlMe4HJDfxpXE84S6k9/RJHL+8qiUjB+jW6KEy8qkcu5CqT/tTM9zZED3CCC/3WNrS2Tkty2Vci/PIMrvrru9m771bdmxZLm07PsV90BaHBn5bXHxHEi9J/mtQ4fDUrDodimcfb2EGhvYBe4AbxNDIL9NrIq3OSG/veVt0mjIb5Oq0XMuvsnv6A7rzVve7Ta77iSzm0g79vbu2PO765hqt/qn28pl5sSRxgh7x7h8/LHIiBEijz3WFvKUU0SWLxcpK3NsCAJBIOUIVFaKXHGFyIoVO7+v7r1X5EtfCgSK5pawZGakBWIuTAICEIBAvASaWsKifggWqOvvfxcZPlzkvfdE1Cf+5s4VGTuW3d6BKjKT8ZzAu++KnHuuyKZNbX3yJ0wQueEGkSwzNoAlyqO5JSKZGXwSJFF+PAcBCEAAAt4Q8E1+ezO9+Efp2vakawQlyecvWiuzrxklpcWF+o+DsPM7b+2qtt3elZVtO1Tn3Sr1p/48foAp9gQ7v1Os4N1Mt7ed3x1vz/7b01Iy7kJJ//h/7AIP0LJh53eAipngVNj5nSC4AD0WlJ3fard30XXTJP++u0UiEWn8wTGyY9F90rrnlwNULXemws5vd7jaErXXnd8dJxGJ6O+vouuvlVBdLbvAbSlwDHmy8zsGSAG/hZ3fAS9wL9Nj57cdtUd+d1On3nqRB01+p322TUovvkCyn3pCk1DtTVSbE9XuhKtvAsjvvhkF/Y5Y5bfioN7oFF07RfLvv0+LBXqB2786kN/21zDZGSC/kyVo//NBkN8de3uHi4ulatY8qTv7PPuL49EMkN8egTZ0mJjl9xf5q40QpaPPl6xNf6cXuKE1jTct5He8xIJ3P/I7eDWNdUbI71hJ+Xuf7/Jb9dg+/4o5nSj01nbEaVxKZj/+zAsyevgQHTra/mT2lFH6wMs/PfmcHPiVvXT/b3UpMa6uq8YMbU/F1p3feevXStHkK/Vu70hhoVTedDNvdOJcYMjvOIEF8PZ45Hd0+ln/fFZKxo2SjPf/K+HSUqmcfxuftLB0bSC/LS2cg2kjvx2EaWkom+W36kFceP21UrDkTk2/4ccnSuVti6V1twGWVsOftJHf/nA3ZdR45Xc077y1q6Xomgn6nKWWr35NKu5eLs2HHW7KtMgjDgLI7zhgBfRW5HdACxvDtJDfMUAy4BZf5bcS3wuWrJPFc65sbyESlc/jRvxMTj/pGNcR1Tc0yYz5y+Thxze1j9VRvneV8ycfP3iXft+2ye/0rZ9K8eVjJeexP+k5Nx5zXNvHWnffw3XeQRsA+R20isY/n0TktxpFf7x8+mTJX75UD1r/059J5cJFWoZz2UMA+W1PrdzKFPntFll74toqv7P+9ZyUXDxSMt57VyL5BbrlXd1Z59gD3qBMkd8GFcOHVBKV3ypV9b6sZMz5otrjqav6iolSPW2mD7NgyGQIIL+ToReMZ5HfwahjIrNAfidCzftnfJPfUel85pDj9A7rjpcSzus3PmnNoZI2ye+8dWvadntXVUkkO0eqZ9wgNaMv8X7lBWRE5HdACpnENBKV39Eh1fdk8ZWXiNp9p3baVaz4lTR9+7tJZMSjXhJAfntJ28yxkN9m1sXLrGyU32qnd9HUSRpTy4FflfIH1knL177uJbZAjYX8DlQ5455MMvI7OljRzKlScMdC/dumw4+UimWrpXXvfeLOhQf8IYD89oe7SaMiv02qhre5IL+95Z3oaL7Jb3Ww5JSblsrEccPaW4pEJ9FdX+1EJ+jFczbI77SKCim55CLJ+fMf215UHTVYKu5ZLq177+sFosCOgfwObGljnliy8lsNlPnaZikbfqakf/iBHrd6+g1SffmEmHPgRv8IIL/9Y2/KyMhvUyrhXx42yW919kTJuIsk9w8PaWANJw2RiruXSSQv3z+AARgZ+R2AIiYxBSfktxo+59GHpXTsSAlVV+uWlBV33au/R7nMJ4D8Nr9GbmeI/HabsLnxkd/m1qZjZr7Jb3Z+e7dAsl78l5T+4ixJ//STNrE27XqpvuKX3iUQ4JGQ3wEuboxTc0J+q6FCtTVScsUlkvvgej1y4w+Pl4olKyRc1i/GTLjNDwLIbz+omzUm8tuseviRjS3yO/ONLVJ63lDJ+O87ba8Hr50l1Zdd5QeywI2J/A5cSeOakFPyWw2a/r+PpPSCc0S9f1NXzcXjpWrW3Ljy4WbvCSC/vWdu2ojIb9Mq4l0+yG/vWCczkm/yWyW94ZGnZd3GJ33t+Z0MvOizJu/8Lli6SIqmtInu5kMGSsU990vL1zu3mXGCQarGQH6nauV3ztsp+R2NmLf6fim5fKz+rerDX3HvA9I0+PuANpQA8tvQwniYFvLbQ9iGDmWD/FY/WC25fJyond/hL+0m5arF1ne+ZyhR+9JCfttXMyczdlJ+R/MqvGG6FN62oO093KAjpHy5aoPCJ3adrJuTsZDfTtK0Mxby2866OZE18tsJiu7H8FV+q+l1PVBSfa3jgZPuI0h+BBPlt/5Y62VjJfd3v9ETrJ4wWaqnXJv8ZInQiQDymwXhtPxWRDPeelNKR54jmVteb/v+nXKt/h7mMo8A8tu8mnidEfLba+LmjWe6/C6eeHn74cqN3/2BVCxbpQU4l3MEkN/OsbQxkhvyW3HIfuIxKR1zvqSVl+s2KDvuuEcfkM5lHsRfeekAACAASURBVAHkt3k18Toj5LfXxM0ZD/ltTi16y8R3+W0Hpt6zNE1+Z7z7tpQNO13U/8P9+kv5qnW6xzeX8wSQ384ztS2iG/JbMVAHYKpPbeQ/sEwjafzBMfrwI9qgmLVCkN9m1cOPbJDfflA3a0xT5Xf6Jx9L2TlnSObmV0RCIam59Aqpmna9SHq6WQADkA3yOwBFTGIKbslvlVLaZ9uk7PxzJOufz+oMay8cI1Wz5kkkMzOJjHnUaQLIb6eJ2hcP+W1fzZzKGPntFEl34yC/HeBrkvzO3figlFwyWn+sVR9qef8aad1tgAOzJER3BJDfrAu35HeUbM4jG6V07IW6JzgfVTdvvSG/zauJ1xkhv70mbt54Jsrv7GefkdIRw0QdeB4pKJCK+1ZJw/EnmAcvIBkhvwNSyASn4ab81imFw1J4y1wpnH+TSGurbmWpNjfRBiXBgrnwGPLbBaiWhUR+W1YwB9NFfjsI08VQyG8H4Jogv0NNTVJ07WTJv/duPaOacZdL1YxZ7O5xoL69hUB+uwzYgvBuy2+FIP3D9/Wun8xXXhJJS5PqSVOl+qqr9a+5/CWA/PaXvwmjI79NqIK/ORglvyMRKVwwRwrn3aiFWfPBh0j56vXSus9+/kIK+OjI74AXuI/puS6/vxhf7f4uHTlc0rd+KpH8AqlYfJ80nDQkteEbMnvktyGF8DEN5LeP8H0eGvntcwFiHN5z+V1RWS1jJy+UC846UZb/+lHZvOXdblMdePD+nQ7CjHE+vtzmt/zu+LFWvbvn7uXScOLJvrBItUGR36lW8V3n64X81qO2tEjRzGlScPcdIpGIPqisfOWvaYPi8xJEfvtcAAOGR34bUASfUzBFfqdVVUnpBWdL9lNPaCJ1546Qyvm3SiQr22dCwR8e+R38Gvc2Q6/kt8ohbccOKR11nmQ/8bhOqfaCUVJ14zy+z31egshvnwtgwPDIbwOK4FMKyG+fwMc5rOfyO5qfkuBTbloqE8cNkwP23bNT2uoQzPUbn5SZE0dKbk5WnFPy/nY/5bd6g1N60XD9sdaWr31dtq99kN09Hi4B5LeHsA0dyjP5/cX81Zsd9aZHvfmhDYr/iwL57X8N/M4A+e13Bfwf3wT5rfp6l503VNI/+lBLsB13LJH6M4b6DydFMkB+p0ihe5iml/I7mkLB4tul8PrpEmpuluaDDpaKVeulZb/9U7sQPs4e+e0jfEOGRn4bUggf0kB++wA9gSGNlN/vvP+xzF+0VmZfM0pKiwsTmJa3j/giv9XHWm+e3db7LRzWb3B23LZYIjm53k4+xUdDfqf4AhARr+W3Iq4+7qo+9qoPP1JtUCZMluqJ19AGxYfliPz2AbphQyK/DSuID+n4Lb/z779PH5AcamrUGyBUmxPV7oTLOwLIb+9YmziSH/Jbcch8bXPbD70+eF8iuXlSsWQ5bVB8WiDIb5/AGzQs8tugYnicCvLbY+AJDmek/N7wyNOy6YXX2fndQ1HVLm+121vt+la7e6pm3yy1Iy5McAnwWDIEkN/J0AvGs37Ib01OHX4070Z9AJL6tW6DsuJXejc4l3cEkN/esTZ1JOS3qZXxLi+/5HeooV5KLh8rub9dpyerWt6p1neqBR6XtwSQ397yNm00v+S34qAORFcHo6sD0tVV+4uRUjVnAW1QPF4kyG+PgRs4HPLbwKJ4lBLy2yPQSQ7jufxWu7rHTFogn2zd3mPqewzoJ0vmTdilHUqSc3XtcS93fuuPtZ5zhqg+36177S3lK9dJ88DDXJsbgXsngPxmhfgmv79Ar3Z/q8Mw0z7bpvt/VyxbLY0/OIbCeEQA+e0RaIOHQX4bXByPUvNDfqd/8J70G3aaZLz5H5GMDKmafoPUXHK5RzNmmK4EkN+pvSb8lN9R8vkrl7d9AqShnjYoPixH5LcP0A0bEvltWEE8TAf57SHsJIbyXH5Hc+2t53cS8/HlUa/kd/59S6Ro+tUSamqSxmN/KBXL10i4qMiXOTNoGwHkNyvBb/mtKpBWvl1Kx5zfdviRaoNyxUSpnjydNigeLE/ktweQDR8C+W14gTxIz2v5nfP4n6X0wuESqqmR1t0GSMX9a6TpqMEezJQheiKA/E7ttWGC/FYVyHj7LSkb/nP9f9UGZcedS6T+Z2ekdnE8mj3y2yPQBg+D/Da4OC6nhvx2GbBD4X2T3w7lb0QYt+V3qK5WSi4ZLbkbH2wTW5OnS/WVk0RCISPmn8pJIL9TufptczdBfkerUHDXbVI461p9+BFtULxZm8hvbzibPAry2+TqeJObZ/K7tVWKbpguBXfeqiemhHf5qnUS7tffm4kySo8EkN+pvThMkd+qCqHGBimedKXkrb5fF6V2+PlSNfcWiWTnpHaRXJ498ttlwBaER35bUCSXUkR+uwTW4bDIbweAuim/M959W8qGnS7q/+HSUqm4f600fu9oB7ImhBMEkN9OULQ7hknyW5HMfOUlKfvFWZL+v49og+LB0kJ+ewDZ8CGQ34YXyIP0vJDfads/l7LhQyXr+U1680P1ZVdJ9TXXiaSnezBDhuiLAPK7L0LB/nOT5HeUdO5Dv5WSy8bqnuAtB35Vytc+KC377R/sQvg4O+S3j/ANGRr5bUghfEgD+e0D9ASG9FV+99b/e+DB+8viOVdKaXFhAtPy9hG35Lfa6a12fKud301HfEuL79Y99vR2cozWKwHkNwvENPmtKpJWVSUll45qO/xISZLLfynVU65FkriwXJHfLkC1LCTy27KCuZCu2/JbCe/SEWdL+ratut3djqUPSMPxJ7gwE0ImSgD5nSi5YDxnovxWZNM/fF//0Czztc20QXF5qSG/XQZsQXjktwVFcilF5LdLYB0O65v8rm9okhnzl8ngI78hhx1yoKze8JhMHDtMcnOy5JYl6+To7xwqRw06yOHpuhPOcfnd0iLF066W/HsX64RrRo2Tqhvm6AONuMwigPw2qx5+ZGOi/I5yyF9xrxRNnaQ/Atv0rW+3/QBtwO5+YArsmMjvwJY25okhv2NGFdgb3ZTfBYtuk6Lrp4u0tEjzwYdI+ZoN+sBzLrMIIL/NqofX2ZgqvxUH1QqvcMY1UnDPXRpL3dnnSeXNt9EGxeFFgvx2GKiF4ZDfFhbNoZSR3w6BdDmMb/K744GXao7zF62V2deM0ju9n3/5DVm/8UmZOXGkluGmX07K7/RPPpbSEcMk68V/SSQvX3bcdY/UDznNdAQpmx/yO2VL3z5xk+W3SjLzjS1Sev4wffhRuKREKlaslcYfHEPhHCKA/HYIpMVhkN8WF8+h1N2Q3+owy9KLL5CcRx/WWdaed0Fb396sbIeyJoyTBJDfTtK0L5bJ8jtKM+cvj0rJ2JGStmNHWxuUVb/R/+dyhgDy2xmONkdBfttcveRyR34nx8+rp42Q32UlhTL79tUy5bJztfxW7VA6ynCvYCQ6jlPyO/upJ6T0ouGSVlEhLV/7upSvWi8t+x+YaFo85wEB5LcHkA0fwnT5rfDpw49+ebnkrVn5RRuUCW29YtPSDKdrfnrIb/Nr5HaGyG+3CZsf32n5nfHmf6TfsNMk/YP3JJKTKztuWyz1Zww1H0QKZ4j8TuHiq40G6SEpKciSzyobjQaRvvXTtk1W/3qOv1scrhTy22GgFoZDfltYNIdSRn47BNLlML7J745tT04/6Rjd6mS/vXcX9esNjzwtm154PaV2fhcumCOFs6/X5a4/9eey484l+kUJl9kEkN9m18eL7GyQ31EOuRvWScn4i7UMb/z+MVKxbJWE+/X3AlNgx0B+B7a0MU8M+R0zqsDe6KT8zvvNr6X48rH67+nWffbVGyGav/HNwLILysSQ30GpZGLzsEV+R2dXeON1Urhwnv5t7YVjpHLuwsQmzlPtBJDfLAbkd+quAeS3HbX3TX53xaPaoIydvFA2b3lX9hjQT5bMmyAH7GvH4Y7J7PxWu7zVbm+16zuSlSVVN8zVL0K47CCA/LajTm5maZP8Vhw67ihs3W2AVKxarw/U5UqMAPI7MW5Begr5HaRqJjYXJ+R3qKlJiqZOlPzlS3USDSeeLBV3L5dIQUFiSfGUpwSQ357iNm4w2+S3Apjz+J+l9MLholosNQ88TMpXruM8gSRWFvI7CXgBeRT5HZBCJjAN5HcC0Hx4xBj57cPcHRsyUfmd9dILUnreUEn/9BNp3X0PqXjg10gox6riTSDktzecTR7FNvmtWOpesmNHSs4f/6DRVs2aKzUXjzcZs7G5Ib+NLY1niSG/PUNt7EDJym993ssvzhL1upC/k40tc6+JIb/trJtTWdsov9XcVWulsvPOkszXNkuksFAq7l0pDcef4BSWlIqD/E6pcnc7WeR36q4B5LcdtfdNfnc88NKWHd49lTQR+Z2/7B4pmjZJ1E6fxmN/KBX3rpJwaakdq4Ys2wkgv1kMNsrvaNUK7lgoRbOuFWltZZdhgksZ+Z0guAA9hvwOUDETnEoy8rvjeS/60zj3r5GmowYnmAmP+UUA+e0XeTPGtVV+K3qhpkYpGT9Gcn+7ru1cmCsnSfXk6ZwLE+fSQn7HCSyAtyO/A1jUGKeE/I4RlM+3Ib8dKEA88jvUUC8lYy+S3I0P6hcV1RMmS/WkqfrFBpd9BJDf9tXM6Yxtlt+KRdbzm6Rs+FBJ2/65tO6zn2xf+6A+cJcrNgLI79g4Bfku5HeQqxvb3BKS35GIFN48Wwrn3yQSDkvj946WiuWrOYchNuTG3YX8Nq4kniZks/yOgspfuVyKrr5Ky3D+Pop/+SC/42cWtCeQ30GraOzzQX7HzsrPO32T32rS6pDLo79zqBw16CA/GSQ9dqzyO+Pdt6Vs+Jm6567a5a12e6td31z2EkB+21s7pzK3XX4rDunbtkrpiLO1CFcH7e64bbHUnzHUKUSBjoP8DnR5Y5oc8jsmTIG+KV753fG8F73T8vIJUn3Ndey0tHiVIL8tLp4DqQdBfisMmVtek7KzT5f0jz4UzoWJb2Egv+PjFcS7kd9BrGpsc0J+x8bJ77t8ld/vvP+xrN7wmEwcO0xyc7L8ZpHw+LHIb7XTu+SS0RKqq207VORXv5XWPew40DNhMCnwIPI7BYrcxxSDIL/1FFtbpei6qVKw+Hb929rzLpCqubdIJCubIvdCAPnN8kB+swbikd+Zm1+RsnPOENXnO1xUJDuWPkCP3QAsIeR3AIqYxBSCIr8VgrSqKim94GxRLZkimZlSfd2NUjPm0iTopMajyO/UqHNvs0R+p+4aQH7bUXvf5Lfq+T128kLZvOXdbkkNPHh/WTznSiktLjSeZK/yu6VFiqZPloKli9qE0sjRUjVrnkSy7JX9xhfEwwSR3x7CNnSowMjvL/jmPPqwlI4+v+0HdQcfIuVrNkjrXnsbSt//tJDf/tfA7wyQ335XwP/xY5Xf+SvulaJrfqnPe9EbIVau4+9X/8vnSAbIb0cwWhskSPJbF0G1ZVo4Twrn3KDbMjWceLJU3LNCInn51tbI7cSR324TNj8+8tv8GrmVIfLbLbLOxvVNfjs7DX+j9SS/1a6e0hHDJOvFf7W1Elh8r9QPOc3fZBndUQLIb0dxWhksaPJbFaFTiyZ2Jva6LpHfVn7bOpo08ttRnFYG60t+6/NeLh/bdqCc2gjxi5FSNUd9soaNEFYWvJukkd9BqWRi8wic/P4CQ/azz+j3sqpVU8v+B0r5qvWcC9PDEkF+J/a9E6SnkN9BqmZ8c0F+x8fLr7t9k99q5/eUm5bKxHHD5IB9O7f/eP7lN2T9xidl5sSRVrRD6U5+82LBryXt7bjIb295mzhaEOW34tzpcF560va49JDfJn5XepsT8ttb3iaO1pv8Tv/gPek37DR93gtnKphYPWdyQn47w9HWKEGV36oeu2zm4lyYbpcp8tvW717n8kZ+O8fStkjIbzsqZqT8Vr3A5y9aK7OvGWVf2xP1MbFb5krh3Fl8TMyO74GkskR+J4UvEA8HVX5Hi5O/7B4pmjZJf0y/8XtHS8Xy1RLu1z8QtXNiEshvJyjaHQP5bXf9nMi+J/mt20hdfIGEamqkdZ/9ZPvaB9k16QRwA2Mgvw0siocpBVl+a4wtLVI8daLk37dE/7b2/Iuk6qab+fRKhzWG/PbwG87QoZDfhhbGg7SQ3x5AdmAII+X3hkeelk0vvO7Zzu9blqyT+9Y80o5zxa2T5ahBB7X/XuUzfd4y/fuTjx+8S17Rnd/qI2GlFw3feUDIzJukZvQlDpSJEKYSQH6bWhnv8gq6/FYkOx7Q1rrbAKm4f400HTXYO8gGj4T8Nrg4HqWG/PYItMHD7CK/1QHC10+Tgrtu01nrfrl3L5dIQYHBsyC1ZAggv5OhZ/+zgZffX5Qod+ODUjL2Iv3pQM4t6Lxukd/2fx8nOwPkd7IE7X0e+W1H7TyX32pX95hJC+STrdt7JLTHgH6yZN6EXdqhuIFUtV9ZvvaPMnbEqbrFispv6uylcuOUUXp81YJlwZJ17YdvKlGurqvGDG1PR8nvXeTQqvXSdMS33EiZmAYRQH4bVAyfUkkF+a3QdvzhnmRkSNW1N0jNuMt9om7OsMhvc2rhVybIb7/ImzNuR/mdvm2rlI44W7Ke3ySRzEypnjFLai4eb06yZOIKAeS3K1itCZoq8lsVRLVwKht+pj4fJlxUJBXL10jjsT+0plZuJYr8dousPXGR3/bUyulMkd9OE3UnnufyOzqN3np+uzPV2KKqvMZOXigTxgzVu7+V7N5v793l9JOO0QG6ynD1tcqbb5eiqRNpCxAb4kDdhfwOVDkTmkyqyG8NR7V1mjtLChfM0b9mN6MI8juhb5tAPYT8DlQ5E5pMVH5Hnn1WyoYPlbTtn4v+lAwbIRLiaeNDyG8bq+ZczqkkvxW1UF2tlI4+X1RrJ1HnwlwxUaqnXCuSluYcVMsiIb8tK5gL6SK/XYBqSUjktx2F8k1+m4pHye0ps5fqned7DugvM+Yvk8FHfqNdfnfdGS7nnSeyapWejv6Hf9pMU6dGXi4QQH67ANWykCklv7+oTfYTj0npqF9I2o4d0rLf/lKxcp00H/wNyyrnTLrIb2c42hwF+W1z9ZzJXcnv1nnzJW/aZB2w8ehjpeK+VRIu6+fMAEQxngDy2/gSuZpgqsnvKMyCJXdK0dRJ/L0nIshvV7/FrAiO/LaiTK4kifx2BavjQZHfXyDt2I4l2vO7vqFJy+8zhxzX3gN8F/kdCkmksEgaVq6WlhNOdLxABDSbQF52ujQ2h6U1HDE7UbJzjUBhboZU17e4Ft/UwGkffSQ5Z50h6S+9KJKTIw13LJLmc88zNV3X8kpPC0l2ZprUNba6NgaBzSagfgASCon+t4ArBQlUV0nBmAsl9LvftQmgyVOl6drrUhBEak9ZvRaoqW8RXg2m5jpID4nkZKVLbQq+Fkj7xz8k7+wzJbRtq0T22EPqf7VOWr+TeufC8FogNb/3O846NytdmlvD0tLKvwSpthrUawAu8wn4Kr+jLUY2b3l3F1IDD96/vc+2lxg7tj355kH7973ze/ZsqT31TAnvu6+XaTKWIQTysjOksaVVWvlHzpCKeJ9GYV6mVNc1ez+wISNmX36pZN17j86m6YILpfHOxYZk5k0aWn5npUtdQ+r9AMQbwuaPkpWpPuYdkqZmfgBifrWczTDt9dckd+gZkvbfdyVSUioNK1ZKy49PcHYQollBoCA3U2rqU/e1gBVFcjHJtLSQlt+p+FogEgpJ2rZtknvuMEn/+zOacuO8BdJ0SWqdddAmv0PSyGsBF7/TzA6dm50uzS0RaWllM4TZlXI+O+UDuMwn4Kv87u7wSBOQdezzHUvPb3XgJVdqEqDtSWrWveOsU7HtSdeq561fK8VXjJNQY4M0HzpIyh/4tbTutXdKLA7anqREmXudJG1PUnMN5K1bI8VXXqL/3gsfcYRUrvy11A/4cmrCYNZC25PUXgSp2vaka9ULb5guhbct0F+uH3Kq7LhrqUTy8lNicdD2JCXK3OskaXuSemsg/cMPJPehDVI0Y0rqTd7CGfsmv0058FK1MXn8mRdk9PAhunzR9iezp4zSrU66HnDZnbBHflu48h1KGfntEEiLwyC/24qX8eZ/pN+w0yT9g/ckXFQkO5Y+IA3HB38HJPLb4m9eh1JHfjsE0pIwoaYmKZoyQfLvv09nXHv+RZJx5x1S06p2/LHby5IyOp4m8ttxpFYFRH7vLFfO43+W0guHS6imRlr2P1DKV62Xlq993ap6JpIs8jsRasF6BvkdrHr2NZvsZ56S0vOHSVplpUiEVjd98TLhz1Nefkf7ej/8+Kb2ekR7fke/sOGRp2X6vGX6tycfP1hmThwpuTlZ7fcjv01Yyv7kgPz2h7tJoyK/d1YjVF0tpZdcJDmPbNRfrBl/pVTNuNGkcjmeC/LbcaTWBUR+W1eyhBNO/+hDKTv/bMl8+UWJZOfIjtvvlvozhoo68FK1vEB+J4zW+geR39aXMKkJIL8748t4/79S+othkvnaZonk5knlwruk7udnJcXY9IeR36ZXyP38kN/uMzZlBPUJF/VJF3Wpv9vUp6C5zCfgm/xWaLq2FDEfV/cZIr9trVzyeSO/k2doewTk964VLLjzVilSLwhaW6XpqMFSvmqdhPv1t73U3eaP/A5kWeOaFPI7LlzW3pz91BNSesHZklZVtctuRuS3tWV1LHHkt2MorQyE/N61bKGmRikZP0Zyf7tO/2HtiAulavYCiWTt3EBmZbF7SBr5HaRqJjYX5Hdi3Gx6KlRXKyXjLpLcPzwkkpEhVTNvkpoxl4ryAVzmE/BVfqsWI6s3PCYTxw7rtJPafGydM0R+21Yx5/JFfjvH0tZIyO/uK5f1/CYpGz5U0rZ/Lq27DZCK+9doER60C/kdtIrGPx/kd/zMrHoiEpHCubOkcMEc/bHWhhNPlop7VnTqY4v8tqqiriSL/HYFqzVBkd89lyp/5XIpuvoqUTK8eeBhUr5yXSDPhUF+W/Pt6lqiyG/X0BoROOO9d6Vs2GmS8fZbelNXuXpvO/j7OjfktxEl6jMJ3+S36vk9dvJC2bzl3W6THHjw/rJ4zpVSWlzY5yT8vgH57XcF/Bsf+e0fe1NGRn73XIn0bVuldMTZokS4/un49Buk5pLLTSmdI3kgvx3BaHUQ5LfV5es1+bSKCim9aLioXd+RzEypVjt8Rl+yyzPI7+CugVhnhvyOlVQw70N+917XzM2vSNl5Q0W1jlLnwlQsXyONx/4wUIsB+R2ociY0GeR3QtiseCj7icekbOS5olp8Nh92uJT/6rfSOmD39tyR31aUUXyT33bgiS1L5HdsnIJ4F/I7iFWNb07I7z54tbZK0XVTpWDx7fpGvWvy7uUSKSiID7ShdyO/DS2Mh2khvz2E7eFQWtacc4akf/KxtO6xp1Tcv1aajvhWtxkgvz0sjKFDIb8NLYxHaSG/+watWkap1lHqh4kSCkn1FROlesq1ImlpfT9swR3IbwuK5HKKyG+XAfsRXn36b96NUnjzbP3pv9rzLpCquQt3ad+E/PajOPGPifyOn9kuTyC/HYBoaQjkt6WFczBt5HdsMHMefVhKL75AQjU10rrPflK+er00H3xIbA8bfBfy2+DieJQa8tsj0B4Ok7/sHimaNklCTU3S+L2jtfgOl5b2mAHy28PiGDoU8tvQwniUFvI7RtBKJN0yV7eSknC47e/X5asDcS4M8jvGNRDg25DfwSqu2uWtdnurXd/qrILKWxdL3dCzu50k8tuO2vsqv+sbmmTG/GXy8OObZI8B/WTJvAmy54D++muDj/yGnH7SMVZQRH5bUSZXkkR+u4LVqqDI79jLlf7Be9JP9Up78z8SycqWHXcskfozhsYewMA7kd8GFsXjlJDfHgN3cbhQQ72UjL1Icjc+2LYz8aqrpfrqaX3uTER+u1gUS0Ijvy0plEtpIr/jA5v97DNSOmKYqNZS+lyYVet7/GRNfJH9uxv57R97U0ZGfptSieTzyHxji5QOP1NUn2/V3kS1OVHtTnq6kN/JM/cigq/y+5Yl62S/vXeXn/xosMxfvFbOPf3/yQH77inPv/yGrN/4pMycONKKgzCR314sVTPHQH6bWRcvs0J+x0e7k1wSkbpzR0jl/Fu1DLfxQn7bWDVnc0Z+O8vTr2gZ774tZeqNzpv/ibsnLfLbr6qZMy7y25xa+JEJ8jt+6qqllGotpVpM6TMVZsySmovHxx/IkCeQ34YUwsc0kN8+wndw6Nw/PCQlF48U9Z5VHWipDrZUB1z2diG/HSyAi6F8k9/qwMspNy2VieOG6d3eHeX3O+9/LPMXrZXZ14ziwEsXi0/o5Akgv5NnaHsE5HdiFezYVkC1Pylfs0Fa99o7sWA+PoX89hG+IUMjvw0pRBJp6LZMo8+XUF2tNA88TMpXrovr7yPkdxLwA/Io8jsghUxwGsjvxMCp1lJF06+W/PuW6AD6XJh7VkgkLz+xgD4+hfz2Eb4hQyO/DSlEommEw1J0/TQpuPNWHaFmzKVSdf1skfT0PiMiv/tEZMQNRspvdn4bsTZIIgYCyO8YIAX8FuR34gXueKBcuKhIdix9QBqOPyHxgD48ifz2AbphQyK/DStIPOl0OZC3duRoqZo1b5eDjPoKifzui1Dw/xz5Hfwa9zZD5Hdy9VetplTLKbXTsmX/A6V81Xpp+drXkwvq8dPIb4+BGzgc8tvAosSYUlp5uZReeK5kP/OURHJyZcedS6T+1J/H+LQI8jtmVL7e6Jv8VrPe8MjTsumF12XKZefKHcse1G1PykoKZezkhTJ0yHH0/PZ1aTB4LASQ37FQCvY9yO/k6qv6PZaOOk+yn/yrDlQz/kqpmnFjckE9fBr57SFsQ4dCfhtamD7SStv+uZSdd5ZkPfcPiWTntL3ROe3MhCaD/E4IW6AeQn4HqpxxTwb5HTeyXR7QPXbPGyoZ/31H/51ctMvPMgAAIABJREFUeesiqTtzWPKBPYqA/PYItMHDIL8NLk4vqXXcjKU+hVy++jfSfMjAuCaD/I4Ll283+yq/1azVLu/zr5jTCcCKWyfLUYMO8g1KvAPT8zteYsG5H/kdnFomOhPkd6LkOjwXiUjh3FlSuGCOSCQiTUcNlvJV6/rsr+bAyEmHQH4njdD6AMhv+0qY9eK/9EFG6du2OrLLEPlt3xpwOmPkt9NE7YqH/HamXqr1lGpBpVpRqat2xIVSNXtB3J/GcSab+KIgv+PjFcS7kd/2VTX3t+ukZPwYCTU1SuPRx0rFirUSLi6OeyLI77iR+fKA7/Lbl1k7PCjy22GgFoVDfltULJdSRX47Bzb7icekbOS5EqqulvCXdpPy5av1QSMmX8hvk6vjTW7Ib284OzVKweLbpWj6ZB2u/qc/kx2L7k26vyzy26nq2BsH+W1v7ZzIHPntBMWdMQruvkOKpl2tv9B82OFSfv/auM5hcDab2KIhv2PjFOS7kN92Vbf4inGSv2qFTrr6qqul+poZCU8A+Z0wOk8f9FV+37JknXy6rVxmThwpuTlZbW9EGppkxvxlMvjIb9D2xNOlwGCJEEB+J0ItWM8gv52tZ/pHH0rZeUNFfQRNMjKkatr1UnPpFc4O4mA05LeDMC0Nhfy2o3BpO3ZIydiRkvOXR9v+brnuRqm5eLwjySO/HcFodRDkt9XlSzp55HfSCHcJkPX8Jikdcbb+hI4N58Igv51fA7ZFRH7bUbGMt9+S0vOHiWq1pP5uqVi+RhqP/WFSySO/k8Ln2cO+ye+o5D5zyHG7tDjhwEvP6s9ASRJAficJMACPI7+dL2KoqUmKpkyQ/Pvv08HVIZgV962SSEGB84MlGRH5nSTAADyO/Da/iFn/ek5KRwyT9K2fSuuA3aXi/rXS9K1vO5Y48tsxlNYGQn5bWzpHEkd+O4JxlyD6bIbhQ0WJcAmFpPryX7btzkxLc2fAJKIiv5OAF5BHkd/mFzJvzUopnnSlhOrr2j5V8sCvpfXLeyWdOPI7aYSeBPBNfldUVsuUm5bKxHHD5IB99+w02Xfe/1jmL1ors68ZJaXFhZ6ASGYQ2p4kQ8/uZ5HfdtfPieyR305Q7D6G7sN2+VgJNdRL6z77Sfnq9dJ88CHuDZhAZOR3AtAC9gjy2+CChsNSeNvNUjjnBpHWVmn84fFSsXSlhEtKHE0a+e0oTiuDIb+tLJtjSSO/HUO5a6DWVimada0U3LFQ/1nj946WiuWrjTsXBvnt4hqwJDTy29xCKdldcukYyX3ot/oHaTXjLpOq6TfoTwI6cSG/naDofgzf5Dc7v90vLiO4TwD57T5j00dAfrtboYw3/yP9hp0m6R+8J5GsbNlxxxKpP2Oou4PGER35HQesgN6K/DazsGmfbZOy88+RrH8+K5HMTKmefr3UjLvclWSR365gtSoo8tuqcjmeLPLbcaS7BMx5/M9SeuFwCdXUSOtuA6Ri1XppOuJb7g8c4wjI7xhBBfg25LeZxc18bbNuoZTx3rt684PaBKE2Qzh5Ib+dpOleLN/kt5qSam8yZfZSWTJvQvvub7Xre8ykBTJuxM/o+e1e3YnsEAHkt0MgLQ6D/Ha/eOqNTunFF0jOow/rwerO+YVU3nybluF+X8hvvyvg//jIb/9r0DWD7L89LaUjz5W08u3646zqY63q461uXchvt8jaExf5bU+t3MgU+e0G1V1jqo0QZeeeKZlbXnP87IZkZ4D8Tpag/c8jv82rYcHSRVI4Y6qEmhp1uzvV9k61v3P6Qn47TdSdeL7KbzWlqOz+ZOv29hmuuHXyLn3A3Zm+M1Fpe+IMRxujIL9trJqzOSO/neX5/9s7EzCpiqthn559HwajItFo3CIaFbd8JJ8xGjUiiFsS4g5IdISAggQEEREF2WQxLogoookRMWoUUbOYGPMlP9EYWVRMosQtKi4wzMbs/T9VQzc9Tc90T0/dvrfufe/z8ADT95469Z7q6dtvV1d1Fa3kzsVSdss0vXyBWv5ELYOilkNx80B+u0nfG20jv71RB51FS4uU3nqTlKqvx4fD0nD6QKlaukJvaOTkgfx2kq4dsZHfdtTJqSyR306R3T2ukli9xlaKWhpPHQ0DB8u2ex5wfV8Y5HfmxoBXW0J+e6cyHTY5V/sFjB0vNVNniGRnO5Ik8tsRrMaDui6/jffIhYDIbxege6RJ5LdHCuFiGsjvzMJXmx6pzY/UJkhqA0y1EabaENOtA/ntFnnvtIv89kYtsv/7ofS+7EeSu/619mVObpoltZVjMpIc8jsjmD3dCPLb0+VxPDnkt+OId2ug+KHlUjZ5gp7RqSZCfLHySWk59GuZT2Rni8hv19B7pmHktzdKEbvJuV7mZMVKaTzxJEeTQ347itdYcOS3AZTIbwMQLQ2B/La0cAbTRn4bhJliqOxPt+i125QI15uWjBkn1Tfc7Nin+V2lhfxOsWg+Pg357X5xC373vPSqHC5Z1dXty5z88nFpPuLIjCWG/M4Yas82hPz2bGkykhjyOyOYd2skd+N66X3pUMn+8AMJFxRK1e1LXNsXBvntzhjwUqvIb5erEQ7v2uS8pcXRZU7ie4r8drn2KTbvqvzetr1GRk1eJBs3bd4t3SP7HShL5oyXivLSFLvi3mnIb/fYu90y8tvtCrjfPvLbpRq0tkrZjBuk5O7bdQJNJwyQbQ8+ojdByuSB/M4kbW+2hfx2ry5qxl/ZDddJ8fJ7dRKZWuYkvsfIb/fGgFdaRn57pRLu5IH8doe7alV96Fkx4kLJ/9MfdRJ1w0ZK9ewFEs7Ly2hSyO+M4vZkY8hv98qiNjmvuOIyUXu+qIlRNdf8VGqm3JixiVHIb/dq352WXZXfC5e2r9V1beXQ7uTsuXOR354rScYSQn5nDLVnG0J+u1satQmm2gxTbYqpxLcS4EqEZ+pAfmeKtHfbQX67U5ucdzdLxSU/lNy3NmnJUX3zbKn78ShXkkF+u4LdU40ivz1Vjowng/zOOPKODaoZnwvnSuncmSJtbdJ85NGy9eerpHXf/TKWGPI7Y6g92xDy253SxG5y3tZ7D9m2/GHHlzmJ7yny253ad7dV1+S3mvU95dZlMnH0BXLQ/n27m7enzkd+e6ocGU0G+Z1R3J5sDPntflmy339X9rjgPMn51z/1J/xqCZTaseMzkhjyOyOYPd0I8jvz5Sla+bCUTxonofo6af3K/lpyZHKZk/geI78zPwa81iLy22sVyWw+yO/M8u6stfy//lkqhl0gWdu26Y2Oq5Y9lLF9YZDf3hgDbmaB/M4w/dZWKZ09Q0pvX6A3OW/6n2/J1hW/lLY998pwIiLI74wjT6tB5Hda2DpehPw2ANHSEMhvSwtnMG3kt0GYPQgVatghvUb9WApXP6mjqE0w1WaYalNMJw/kt5N07YiN/M5cnUI76qXXmEopfOrx9uf5oCGybcn9Ei529nmerIfI72SE/P848tv/Ne6qh8hv79Q/++OPpPdF3xe1Hnh0+YPrp4tkZTmaJPLbUbxWBEd+Z65MapPzipGXiNrcUj23a8ZPkprrbnD8ed5ZD5Hfmat9T1pyTX6rpNWyJwfs10fOH+Ts7qs9AZTKtcjvVCj58xzktz/r2p1eIb+7Q8v5c4sfWCZlUydKqKlJWr9ygGx9+DFp7neEYw0jvx1Da01g5HdmSqWWN1HLnKjlTsJ5+VI9a57UjbgiM40naQX57YkyuJoE8ttV/K43jvx2vQQdElD3gGU3TIruB9H4rW/LtgcelrY9vuRYoshvx9BaExj5nZlSxW5yrpY52frzR/WsbzcP5Leb9FNv21X5/c57H8nDT/xeJo66QAoLMrspReqIkp+J/E7OyK9nIL/9WtnU+4X8Tp1Vps5Us33UrB81+yecXyDb5y+W+osuc6R55LcjWK0Kivx2vlzF990jZTdOEbXBZcsBB8q2XzwmzYf1c77hFFtAfqcIysenIb99XNwUuob8TgGSC6eobwOqbwWqbwfqfWF+8Zg0HXu8I5kgvx3BalVQ5Lez5Qo1N0vZtOtE3ROqw81lTuJ7ivx2tvamorsmv9Wa36MmL5KNmzYn7MuR/Q6UJXPGS0V5qam+OhYH+e0YWs8HRn57vkSOJ4j8dhxxWg2o9R4rfnyJ5P/pj/r6Hd8fKlV3LNUzRk0eyG+TNO2Mhfx2rm5Z1dXSq3K4qFk+6tDLnCx9QMKFRc41mkZk5Hca0Hx2CfLbZwXtZneQ390ElsHT1X4wvdW3hja/LZKTI9U3zZLaq8YazwD5bRypdQGR386VTG9yPuxCyX1jY/syJxOvl5oJk11b5iS+p8hv52pvMrJr8ttkJ9yOhfx2uwLutY/8do+9V1pGfnulEgnyCIeldN4sKV0wR6StTS9/opZBUcuhmDqQ36ZI2hsH+e1M7dQ6jmo9R7Wuo/oGR/Xs26TussudaayHUZHfPQTog8uR3z4oYg+6gPzuAbwMXKo2R664crgUPL9Gt9YwcLBsu+cBo/vCIL8zUEiPN4H8dqZAap8Xtd+L2vdFbWapNrV0e5kT5LcztXY6KvLbAGHktwGIloZAfltaOINpI78NwnQolJr9rWaBq9ngagNMtRGm2hDTxIH8NkHR7hjIb8P1Ux9a3b5ASufcLNLS4sllTuJ7jPw2PAYsDIf8trBoBlNGfhuE6WCokiU/k7IZN+jXFjUR4ouVT0rLoV8z0iLy2whGq4Mgv82WT8nu8knjpOiRX+jAjSeeJNuWPyxqnW+vHcz89lpFEufjuvx+Zd1bMnzcnA7ZrVg8WU7of5gdBEUE+W1NqYwnivw2jtS6gMhvO0qm1v9W64Cr9cDVUTtmnFRPu0UkO7tHHUB+9wifLy5GfpsrY9bWL6Ti8osl//9e0kF3nPN9qbpzqeeWOUF+m6u5XyIhv/1SyfT6gfxOj5sbV+W9slYvn5D96RYJFxRK1e1L9NJ4PT2Q3z0laP/1yG9zNYzd5Fy9V6u57gapGT9JJBQy14jBSMhvgzAdDOWq/Fbie8HSVR3W9labYFZOWiCjh50j5w86ycGumwuN/DbH0rZIyG/bKmY+X+S3eaZORiz/6dVSvOI+3UTDaWdI1d33S1vv3mk3ifxOG51vLkR+myll7usbZI8fDJGszz/TAbff9jOpG/5jM8EdjsLMb4cBWxAe+W1BkRxMEfntIFwHQmd98blUXH6J5P+l/YPWmquvlZobZ/aoJeR3j/D54mLkt5kyqmVOKkZeqoO17t1Hqu57SBq/eaKZ4A5FQX47BNZwWNfk946GJpk+f7n8cMjJu83yVlL8sdUvyoyJl0thQZ7hLpsPh/w2z9SWiMhvWyrlXJ7Ib+fYOhW56LGVUj5utIQaG6S1zz6y7aFHpenY49NqDvmdFjZfXYT87nk5S+66XcqmT9GBWg46RLY9uFKaD+vX88AZioD8zhBoDzeD/PZwcTKQGvI7A5AdaKJsxlQpuWORjqzuA9VrT+s+fdNqCfmdFjZfXYT87nk5e42tlKJHfq4DNZ5yqmxbusKTy5zE9xT53fPaZyKCa/J72/YamXLrMpk4+gI5aP+OLzJq9vf8u1fK7OuvkIryUkc5RCT8mhfWRtuJXXYlMhP94y1fRB8/st+BHWarI78dLZGngyO/PV2ejCSH/M4IZuON5PzzLakYPVJy17+mY1fddZ/U/+iibreD/O42Mt9dgPxOv6RZVVVSOmOqFP/8AR1EbWhZPWue55c5ie8x8jv9MeCXK5Hffqlkev1AfqfHzQtXFbzwWym/+irJ3vKJlmxfrHpKmvsf2+3UkN/dRua7C5Df6Zc0+8MPpKJyhOT97a86SPXNs6V29DXpB8zwlcjvDANPsznX5LdXZn4rCf/Ayudk1LBz9SxzNet8yuxlsnTeBC3llfyeOnuZzJpyxW6SPsIc+Z3m6PPBZchvHxSxh11AfvcQoMuXly6cK6W3ztBZqK/Ubb9zqbTs/9WUs0J+p4zKtyciv9MrbcGzq6XXhLGS9dmn7V9rves+aTz5u+kFc/kq5LfLBfBA88hvDxTBxRSQ3y7CN9B01vbtUnb9BCl69Jc6Wv2Fl0r1rPnSVlaWcnTkd8qofHsi8ju90qpvX6hvYaij6Zjj9JKULYccml4wl65CfrsEvpvNuia/VZ5PPPuSrFr9oqfW/FYyfNTkRTKhcqhejgX53c0RFbDTkd8BK3iC7iK/7R8DalOVXpXDJfeNjXrzo5qp06X2qrEpbaqC/La//j3tAfK7ewTVppblE8eJWtNRS4aLLpPtt94m4ZKS7gXy0NnIbw8Vw6VUkN8ugfdIs8hvjxSih2moWeC9xlypP5Rt+9KeUnXHUmk4fWBKUZHfKWHy9UnI7+6VN2fz23rtfbXnSzgvT2on3aDX35esrO4F8sDZyG8PFCGFFFyV3yo/NdN6+Lg5HVKNXXYkhT4YPSVedscvexK/5IlqnJnfRktgVTDkt1XlciRZ5LcjWDMftKVFShfNk5KFcyXU3Ky/8rrt3hXScuDBXeaC/M58qbzWIvI79YoUPr5KyqdMECXA1Xr7erb3d05JPYBHz0R+e7QwGUwL+Z1B2B5sCvntwaKkmZKeBT55vKj9YdSx47wfyvb5t0tbr15dRkR+pwncR5chv1MsZmurlN5+m5TcNltCTU3SfPQxem3vloMPSTGA905DfnuvJokycl1+ewlTZCmWAccdLucPOilhaguXrpJPPt1qzWacXuJLLhCAgP8INLe0SW6OfZ/Qd1qJN94QufhikfXrRfLzRaZNE5k8WSQ723/Fo0cQyBSBjz8WGT5c5Le/bW9x5EiRRYtESp3d1yUT3WtqaRP1IRgHBCAAgSASaG4JS25OyH9df+45kREjRLZsEdlzT5E77hD50Y/81096BIFMEti4sf19lvpbvc+aPl3kuuusnO2dSWy0ZYaAq/I7kUhORUCb6XrHKJF2++zVW66tHNppE4k242TmtxMVsSMmM7/tqJOTWTLz20m6LsWOnwXe7wipuneFNPc7YreEmPntUo081Cwzv7suRtHDD0rZtOskq7raV7O9Y3vNzG8PPSFdSoWZ3y6B90izzPz2SCEMpxE/C1wtgaKWQlFLosQfzPw2DN/CcMz87rxoaoZ3ybxZUnrnIpGWFl/M9o7tLTO/7XjCuia/vbLhpSpTquJbnYv8tmNgZypL5HemSHu3HeS3d2vT08xi1wKXnBypuXqC1P50il6XLnIgv3tK2f7rkd+Ja5j90X+l1+iRkv9/L+kT6i8eJttnzbd6be/ORivy2/7ncU97gPzuKUG7r0d+212/ZNl3WAu8Vy+pnjlP6i+4pMNlyO9kFP3/OPI7cY1z1/1DKq4cLmqN73BevtROmmrt2t6djWLktx3Pb9fkt9pYcsqty2Ti6AvkoP37dqCVSDA7hTPZTPPfvPiyHPzVfaM5qtnq6oidHc7Mb6eq4/24yG/v18jpDJHfThN2OX7cLHC1Bvi25b+Q5q8fpRNDfrtcHw80j/yOK0I4LMXL75Wym6dJqK7Wt7O9Y3uN/PbAE9HlFJDfLhfA5eaR3y4XIAPNx88CbzzxJKm6+35p7ftl3TryOwNF8HgTyO+OBQo17JDSmTdJyb13ibS1+W62d2xvkd8ef3LuTM81+e2Vmd/xG1pGyjbywkFacMdvyDn41AG7rfeN/LZjsDuRJfLbCap2xUR+21WvdLPtMAs8O1tqK8dIzQ03SW5RoZQV58rn2xvTDc11lhNAfu8qYM57/5FelSMk7+8v6x/6ebY38tvyJ67h9JHfhoFaFg75bVnBepBu7CzwcEmJVN90q9QNGyklhbmSlRWS6vrmHkTnUpsJIL93VS9v7V+kYtRIyf7g/fbZ3tfdIDVjx/t2bW/ktx3PXNfkt8KjxPKU2ctk6bwJ0ZnVERk9etg5nW466TW0yG+vVSRz+SC/M8faqy0hv71aGQfyip8Fvv9Xpe7+B6XwO/+L/HYAty0hkd+iZ/SULLlDSmffLGqmT2uffaTqrvuk8Tun2FLGHuXJzO8e4fPFxchvX5Qx7U4gv9NGZ+WF8bPAm47/hjQ99EuRA/ZHfltZUTNJI79FQvV1UnbjFCl+8H6RcNjXs71jRw3y28xzyOkorspv1blEM69XLJ4sJ/Q/zOm+G4uP/DaG0rpAyG/rSmY8YeS3caSeD9hhFngoJK1XjZJPp8yQcFGx53MnQfMEgi6/c/71T6m4cpjkvr5Bw627ZLheD1XNiAvKgfwOSqU77yfyO9hjAPkdzPp3mAVeVCTN02+Wzy8fJRIKBRNIwHsddPmt9nhRe72oPV+CMNsb+W3fE951+W0fst0zRn77oYrp9QH5nR43P12F/PZTNbvRl52zwEsXzhVpbtZrPqq1H9UakBzBIhBY+d3aKqWL50vJgjkSamoK3Gzv2FGO/A7Wcz5Rb5HfwR4DyO/g1j9+Fnhz/2Nl270rRO0RwxEsAkGV31nV1VJ2/QQpWvmwLnjz0cfItqUrpOXgQwIzAJj5bUepkd8G6oT8NgDR0hDIb0sLZzBt5LdBmBaGKnr7LSm/criENrTPeq2/6DLZfuttgZr1amHZjKYcRPmdu+kN6XXlcFF/qyOIs72R30afRtYHQ35bX8IedQD53SN8vri410svSOFVP5bQp1vaZ71Omtq+xnF2ti/6RyeSEwii/C743fPSa2ylZH3+WeBme8eOCOR38ueHF85AfhuoAvLbAERLQyC/LS2cwbSR3wZhWhgqLydLyvJD0njTLVKycK6E1CzwvftI1Z3LpPGUUy3sESl3l0CQ5Lea4V0yb6aU3rlYpKUl0LO9kd/dfab4+3zkt7/rm6x3yO9khPz/eElBjmTXbJfQ1WOl6LGVusPN/Y6QqntX6L85/E8gSPI7a+sXUj5xnBQ+9Xj7WA/gbG/kt33PaeS3gZohvw1AtDQE8tvSwhlMG/ltEKaFobT8Ls7VG17mbnpTel01QnLf2Kh7Uv+DH0nN1BnSut9XLOwZKadKICjyO//FP0jpnJsl7+8vt4/vCy+R7bcukHBpaaqofHsey574trQpdwz5nTIqX56I/PZlWbvVKSW/s7JCesNLNRu2/JpRkv3pFmnb40tSP/QiqZk0ldfLbhG17+SgyO/inz8gxXcskpzNb+si1dw4U2quvta+ghnMmJnfBmE6GAr5bQAu8tsAREtDIL8tLZzBtJHfBmFaGCpWfkfSL71ttpTOuSXam+pb50vdZZdLuKDQwh6ScjICfpff2R+8L6Vzb4mu5dj65X2lavESvtkQMzCQ38meJf5/HPnt/xp31UPkd7Drr3ofK7/V//Va4FOulaJVj2g4bb1769fOhkFDgOVTAn6X32qST8WPL5Gcf76lK9h0/Df0N12DtLZ3Z0MX+W3Hkxr5baBOyG8DEC0Ngfy2tHAG00Z+G4RpYahE8lt1QwnDshsmSeGap9vf9HxpT6mZepPUXTrCwl6SclcE/Cq/s6qqpOS22VJyzx26++rDm9rxE6V2zDgJ5xcwKJDfjIEYAsjvYA8H5Hew659IfkeI5L2yVsqvu1ZyN6zTP2o+rJ9U37pAGk86GWg+I+BX+Z3z7mYpnTFNClc/qSvWutfeerZ3/QUX+6yC6XcH+Z0+u0xeifw2QBv5bQCipSGQ35YWzmDayG+DMC0M1Zn8jnQl/69/lrIpP40uhaLWfayeOU8av3OKhb0l5UQE/Ci/S+5YJCWL5+mZa+pQS5zU3HCzXs+eY3cCzPxmVCC/gz0GkN/Brn9X8jtCpmjlw1J6yzTJ3vKJ/lHD6QOleuZcaTnoEOD5hIDf5LeeBDF3ppQsu1tXSE18qL36Wv0nXFjkk6qZ6Qby2wxHp6Mgvw0QRn4bgGhpCOS3pYUzmDby2yBMC0Mlk9/td4thKfrVo1I6a7pkf/hB+5ue756uJXjLoV+zsNekHEvAT/K78Ne/krKbb5Ts99/VXWz81releu4iae53OEXvggDym+GB/A72GEB+B7v+qvfxy54kIhJqbJCSJXdIyeL5EqqtFcnOlrqLh+lvBqq1wTnsJuAX+a02Ny++924pWTS3fRJEVpbU/+hiqb7xFmnbcy+7i+RQ9shvh8AaDov8NgAU+W0AoqUhkN+WFs5g2shvgzAtDJWS/N7ZL/2m55679IzaUE1N+5ueCy+Vmmk386bHwtpHUvaD/M579RUpv2685K77h+6W+lp2zYzZ0nDq9yyuTOZSR35njrVXW0J+e7UymckL+Z0Zzl5uJRX5Hck/a+tWvYF08UPLRVpaJFxc0j6j9ifXsD+Ml4ucJDfr5Xc4LIVPPiZlM6dL9vvv6d6qSRDbb/sZk3WS1B75bccTF/ltoE7IbwMQLQ2B/La0cAbTRn4bhGlhqO7I7w5veubNlOIV97W/6Skqbn/To9ZSZlNM60aBzfJbr+N401QpfOYpzV2t41g75UY9E03N9OFIjQDyOzVOfj4L+e3n6ibvG/I7OSO/n9Ed+R1hkfPOv6Vs+vVS8Pya9tfgffrqWeBqlq2EQn5H5rv+2Sy/9SSICWMl9/UNui56mcabZ0vjKaf5rk5OdAj57QRV8zGR3waYIr8NQLQ0BPLb0sIZTBv5bRCmhaHSkd/RNz3vbpayG6dIwbOr29/09NlHaq6fLvUXXIJ4tGgs2Ci/I+s4Fq9YJqHm5vYPYH5yjdSOHa//zdE9Asjv7vHy49nIbz9WNfU+Ib9TZ+XXM9OR3xEWeS//PymfND5GPB6ulxxTs2457CFgo/xWkyB4L9LzMYb87jnDTERAfhugjPw2ANHSEMhvSwtnMG3kt0GYFobqifyOvumJm22h1gFXXzHkTY8dA8Im+R1dx3HhHMmqrm5fx/HCS6X6hhms49iD4Yb87gE8n1yK/PZJIdPsBvI7TXA+uqwn8ltjUPvDPL6qfX+YD97XP1JLj1XfMpclJywZJzbJb730Tuy3UFl6p0ejDPndI3wZuxj5bQA18tsvvuiEAAAgAElEQVQAREtDIL8tLZzBtJHfBmFaGMqE/I686dltnb1TTpPts+bzpsfj48IK+a3WcXxCreN446431Wy6amxkIb+NobQ2EPLb2tIZSRz5bQSj1UF6LL939l59SF1yz51SvHhe+4fUan+Yiy6TGvUhNZtienqM2CC/E46vS4brb54yvtIfXsjv9Nll8krktwHayG8DEC0Ngfy2tHAG00Z+G4RpYShj8jvmTU/xsiVSombm7txhXb/pmXoTM3M9Oj68Lr93X8eRr1ObHkrIb9NE7YuH/LavZiYzRn6bpGlnLFPyO9L79pm5s6TowfvalydTM3PHjmd/GA8PD0/L78g3C9QkiA8/0BQbTh8o1TPnSstBh3iYqh2pIb/tqBPy20CdkN8GIFoaAvltaeEMpo38NgjTwlCm5Xf0TU9VlZTMnSkly+7WPwrnF0j1LXOkfuhFEi4psZCUf1P2qvxW6ziWLJwnRb98SMPXa8qrjbQuvNS/xXCpZ8hvl8B7qFnkt4eK4UIqyG8XoHusSdPyO9I9vTH19OulcM3T+kdtX9pTti+4Q3YMPttjBEjHq/I7d/1r0uuaUbvWlP/6UVI9c540nngSRTNEAPltCKTDYZDfBgAjvw1AtDQE8tvSwhlMG/ltEKaFoZyS3xEU2R+8J2U3Xi+Fq59sl+ClpVJbOUZqJk+zkJY/U/aa/M7+5GMpu36iFD79RPuYKSyS2msmMFvMweGH/HYQriWhkd+WFMqhNJHfDoG1KKxT8juCIO9vf5XyqZMkd90/9I9av7yvVE+fKTvOH2oRJX+n6jX5nffaq1L+06tFye/ImFHvH5gEYX4cIr/NM3UiIvLbAFXktwGIloZAfltaOINpI78NwrQwlNPyO/qm5x9/l5LbZkvBb5+LUqq7ZLjU/WSctBxyqIXk/JOyV+R3we+el+K7Fkv+/70Uld51l10uteMn6pliHM4RQH47x9aWyMhvWyrlTJ7Ib2e42hTVafkdYVG4+tdSsnCu5G5cr3+kXt/rhv9Y6kZWsjyeywPGK/K76JGf6/vB3Lc2tUvvvfvoe8H6S0fob5JymCeA/DbP1ImIyG8DVJHfBiBaGgL5bWnhDKaN/DYI08JQmZLfETS5m96Q4p8tkKLHVkZpNZ5yqtSNuFIaBg2xkKD9Kbspv0P1dVL8ixVSfM9dkv3+u+1vhCsqpO7Kn+g/beXl9gO2oAfIbwuK5HCKyG+HAXs8PPLb4wXKQHqZkt+RrqjJEMV33x79wFv9XM3orRt9tTT3OyIDPaaJeAJuyu+szz+TYrVR6oplklVVpVNrOeBAqRszTn84wuEsAeS3s3xNRUd+GyCJ/DYA0dIQyG9LC2cwbeS3QZgWhsq0/I4gUktbFN91uxT/4gEJ1dS03+QecqjUVY6R+gsvYWZHBseSG/I7+78f6jc5RQ+vkKzq6vb6H3SIftOr65+Xn0ECNIX8Zgwgv4M9BpDfwa6/6n2m5XeEuJoUUbJ4vhQ+9YRIS4v+ceM3T5T6q8bIjjPPEsnKojgZIuCG/M59fYOU3LFQCp5+Um+Mqo6mAf8rtT+5RhoGDhYJhTLU+2A3g/y2o/7IbwN1Qn4bgGhpCOS3pYUzmDby2yBMC0O5Jb8jqJT4Ln5ouRQvvVOyP/qv/rGe+XvpCKm/8id6k0MOZwlkUn7nrf2Llt6Fzz0j0tq6603OmHHScMYg3uQ4W+pOoyO/XQLvoWaR3x4qhgupIL9dgO6xJt2S3xEMelLE3T+T4p8vj06KaP3KAVJ35Sipu2QEm6VnYLxkTH63tkrhmqekeMmdkvfK2vaeZWfLjsHnSO3V10pz/2Mz0FuaiCWA/LZjPCC/DdQJ+W0AoqUhkN+WFs5g2shvgzAtDOW2/I4ia2mRol8/LsV3Loru5i45ObLjrHOl7qox0nT8Nyyka0fKTstvNZOn8InH9AccuRvW7XqTc9a5Ujvup9J85NF2gPJxlshvHxc3xa4hv1ME5dPTkN8+LWw3uuW2/I6kmmhSRLi4RC+JomYDt+73lW70ilO7Q8Bp+a1r++D9UnzfEsn+8AOdmqpt3UWX6W/+UdvuVMvsuchvszydiob8NkAW+W0AoqUhkN+WFs5g2shvgzAtDOUZ+R3DLv+lF7UEL/jD76I/bTruBC3Bdww5T5QU5zBHwCn5nbX1Cylefq8ULb9Xsj/dsutNzsXDpG7UWN7kmCthjyMhv3uM0PoAyG/rS9ijDiC/e4TPFxd7RX5HYSaaFJGVJQ2nD5S6q8ZK47e/4wvuXuqEU/I7573/SPGdi6Xo0V+K2utFHeqbnfVXjJa6EVdIW1mZlzAEMhfktx1lR34bqBPy2wBES0Mgvy0tnMG0kd8GYVoYyovyO4Ix5+1/S8ntt4na9T1ytO25l1TfeIs0nHaGqH9z9JyAafmd++brUvjow1Jy1+3R5Fr37qOXseFNTs/r5UQE5LcTVO2Kify2q16ms0V+myZqXzzPye8YhPl/+qMUL/mZFPz+N7vc+EGHSPXNs6XxpJMlXFhkH3APZmxafue98je9lE3h6iejvW0+rJ/Ujbpa6i8e5kECwU0J+W1H7ZHfBuqE/DYA0dIQyG9LC2cwbeS3QZgWhvKy/I7gVLOGi+69u8MO8OqxHed8X+quuEqajzmODTJ7MPZMyO/sLZ9I3strpWTeTMnd9OauNzn9Dpe6n4yX+gsu7kGGXOo0AeS304S9Hx/57f0aOZkh8ttJunbE9rL8jhBMNCkiXFQsdSOvlIYh50nTscfbAdujWZqQ3zn/fEvy//KSlCycK2od98jR+J1T9Kb2Dd8706O9D3ZayG876o/8NlAn5LcBiJaGQH5bWjiDaSO/DcK0MJQN8juCNbSjXooefkiKHryvg2BVM34aTvueNA4+R3acOVivH8iROoF05bdar1HN5il4+klRs3tiD7V5Zf2wkbzJSb0Mrp6J/HYVvycaR357ogyuJYH8dg29Zxq2QX5HYOlJEffdI0W/fKiDYG3r3Vt2nH2+NAw+RxpPOdUzbG1JJF35rfZzKXjmKSl88leS8593ot1VH0zsOO8HUjv6Gmn52mG2YAhknshvO8qO/DZQJ+S3AYiWhkB+W1o4g2kjvw3CtDCUTfI7Fm/u+tek8FePSuFTj0v2R//tKF6/d6Y0nHWONJx1LusIpjAmuyO/cza/LYVPtwvv6OaVO9toOuF/9BtONcu77Ut7ptAyp3iFAPLbK5VwLw/kt3vsvdAy8tsLVXA3B5vkdyypghd+KwVPPSEFa56SrO3bow+1lZdLw6CzpWHw2dIwcLC7cC1pvTvyO++VtVKw5mktvLP/+2HH+/DTzpCG834oO84+lyVpLKk98tuOQiG/DdQJ+W0AoqUhkN+WFs5g2shvgzAtDGWr/O4gwje9KQXPPyP5zz0jea+9KhIOtz+ckyONJ56kvwq7Y8i50tZ7Dwsr5HzKyeS3WsNbye6CZ34tuW9tiiakZtw3nvxdaTjzLP3GEr7O18qpFpDfTpG1Jy7y255aOZEp8tsJqnbFtFV+77LdbZL/t79K/nNrpOD5NaI+rI8c4ZISaTj9TGk4+1y9ZwxrhCcem13K79ZWyV/7VylQ3/hb87Rkf/zRLvS995CGM86UxoFnScN3T4OvXU99nS3y246iIb8N1An5bQCipSGQ35YWzmDayG+DMC0M5Qf5HYs964vPpXDN05L/7GrJ//OfJNTY0P5wVpY0/s+3pPHsc2XHkPP0LvMc7QQSye+8f/y9/Q3OM093+Aqr2mR0xxmDpPHMs/RXisN5+WD0AQHktw+K2MMuIL97CNDyy5HflhfQQPrWy+84Bjn/+qcUPr9G8p9bLXmvviLS1qbPCBcUSsOpp0ujmhhxxiAJl5YaoOePELvJ75YWKXjpj5L/9JNS+Nwzou6xI0fLwYfoiQ9qAkTTCQP0fTaHvQSQ33bUDvltoE7IbwMQLQ2B/La0cAbTRn4bhGlhKL/J79gSqDXCC37/W8n/zRopUDftMV+HbTrmOKmvHCMt++4rLV87XNoqKiysnpmUlfzO3rxZGja/J3l/+6sUPbCsw4ye5n6HS8MZg6XxjEGiljbh8B8B5Lf/atrdHiG/u0vMX+cjv/1Vz3R64zf5Hcsga+sXUrj615L//Bop+N3zHfA0nPo9qbtqjIRLy6T5iK8Hetaykt+Nr74mLZ9tlYInVknRE6skVFMT5dX0jW9Kw6AhovZ1aTnk0HSGGdd4lADy26OFiUsr8PJ7R0OTTJ+/XNa8sDaKZsXiyXJC/12bCjzx7Esybd5y/fjgUwfIjImXS2FBXvR85Lcdg92JLJHfTlC1Kyby2656mc7Wz/I7npUSu0qCqzWrs99/L/pwOL9Amo47QQvwlv7HSvORR0tT/2N9u261mg2Vu3G95G54TXLf2Cg51dsl+x+vdsDV+M0TpVHN6DnrbGnZ/6umhx3xPEYA+e2xgriQDvLbBegeahL57aFiuJSKn+V3LNJQww7Jf+lFLcILn/m1ZG3dGn1Y7VfSfOhh0tq37877wf7SdPQxopZN8eOh9s/J27BOcjaul5x/vSV5Wz6W0L//vev+OLK8nVo3/YzBgZ4o4sf6x/YJ+W1HhQMvv7dtr5EHVj4no4adq4X2K+vekimzl8nSeRPkoP376v8vWLpKlswZLxXlpbJw6Spd2WsrhyK/7RjjjmaJ/HYUrxXBkd9WlMmxJIMkv2Mh5m56U/L/8DvJ//3zenmUREfrXntL81H9pbn/sdKihPhRR0vrfvs7VgsnAue+vkFvTJm7Yb2oNznq/2pGfPwRVus1nnKqNJ42UBpOHyhtvXo5kQ4xPUoA+e3RwmQwLeR3BmF7sCnktweLkuGUgiK/47GqjRvzf/u8qI0z4zfyjpzbcsCBemKEmiCh7gWbjz5W2nr3znCF0m9O3fe1T3rYdS+o/p/oaPvK/rLj9IHSqDatPH1g+o1ypVUEkN92lCvw8ju+TEqGj5q8SCZUDtWzv5XsPmC/PnL+oJP0qfEyXP2Mmd92DHYnskR+O0HVrpjIb7vqZTrboMrv3d78vPaqftOTo2Txun+0b5yZ4FCzw9UbIC3FjzlOmo84StS6h24fam3z3I0btOBWM3jUTJ7O3sTpPqg3cOqN3FH9Jfcbx0v44EOkpr7Z7W7QvksEkN8ugfdQs8hvDxXDhVSQ3y5A91iTQZXfsWVQS3zo+6eN6yRHTxjYKLmb3khYqdZ9+up7QbUMSOtXD5SWAw/2xH4yWdXV7ZMdVD/U36ov//5X4j7su1/7/ezRx+h72+JvHi91e/SRhqZWj41O0nGaAPLbacJm4iO/4zi+895HMnX2Mpk15Qrpu/eX9JIoA447PCq/Yx9XM8OR32YGoq1RkN+2Vs5c3shvcyxtjIT87rxquW++roWyksn6q6Eb10motna3C5qPOFLayntJuKxMv3nocOQXSFtZmV5LUv9dpv4u3/mz8t1mWGd9/plkVW+XUHW1qDcw+t+1Ne1/q3UXW1p2hW9ukryX/6b/n7P5bcn+5OPdcmvt++Vdb2zUm5sjjpTWL+/b4bxEG17aOJbJOX0CyO/02fnlSuS3XyqZXj+Q3+lx89NVyO/E1YxOLlATJDask7yd94SJzm781rc7/DhcVCThcnWvV9F+n9irl/53WN0H6p+13weGyyv0fWHkUDO11T1g+73gznvCmu07f7ZdQnV10Q081TVqTfOcTW/qy/M2vJbwXlVN1Gg+cpfoVsI7/lt+u2146acBTl+6JID8tmOAIL9j6hRZ/zsiuyP//+GQk6NrgCeS3zU7Yt5M21F3sjREoCg/Wxqb26S1LWwoImFsI1BamCNB/h0QDoclFArZVjZj+WZnhSQ/N0vqG5nlkQrUrHfekeyNGyT06t8le91rkr1+nYQ+/yyVSx0/p+3gg6X16P4S7n+MtB5zrP4Trkj+tVz1AYh6CqjXAo7gEVC/A4sLcqSpuU1auBcI3gDY2WN1L1C7o0W4GwzmEMgOiRTkZUtdAO8FwmHRr4FBP7gX6N4IUPeCWetek6z16/S9YNb69XqygheO1iOPkrb+x0jb0f31vWDbUUdLuLg4aWqFednS3NomLa28EiSF5bMT1D0Ah/cJIL931igiuvvs1Tu6nne8DFenJpTffNXZ+yPdoQyL8nOksaVVWnmRc4iw98OWFuUGerkDdXsX5Pc8Wn7nZUt9Ax+CpvtsDdVUS2jLFgl99qmEtm6T0M5ZOqHt20Wq1Z9qUf+O/3moukbUtbGHWns7XFaqZwVJWbmEy9Vs8XI9YzxcUSFSUiqi/l2uflYu4d69Jbx3H2nbb79005e83Cz9LGhq5gOQtCFafGFYQqI+CG/iXsDiKvY89ZLCXKndwdJHPSdpZ4SsrJCW30G8FwiHQhJSBjzgR7v8Dkkj9wJpj4RQXa2EtlWJbK+SkPqzrUpCVdva7wGrqkS2bdV/Rx/bXiWiHq9Ss7k7frMwvOeeu+7/1KzwyH2fugdU+7KUtn+bUP+8ore+R2zbu4+E+/RJO//C/GxpbglLSyuTIdKGaOmFygdweJ8A8ltEEonvSOlY89v7g9jNDFn2xE363mibZU+8UQe3smDZE7fIe6ddlj3xTi3cyoRlT9wi7512WfbEO7VwIxOWPXGDurfaZNkTb9XDjWxY9sQN6t5ok2VPvFGHZFkEXn4nmt0dCy1+g0slw9VxbeXQ6GlseJlsmPn3ceS3f2ubas+Q36mS8ud5yG9/1rU7vUJ+d4eWP89Ffvuzrt3pFfK7O7T8dy7y23817W6PkN/dJea/85Hf/qtpqj1CfqdKyt3zAi+/1TImlZMWyMdbvuhQiZEXDooK7ieefUmmzVuuHx986gCZMfFyKSzIQ367O3Y90Try2xNlcDUJ5Ler+F1vHPnteglcTwD57XoJXE8A+e16CVxPAPnteglcTQD57Sp+TzSO/PZEGVxNAvntKn5XG0d+u4o/5cYDL79TJtXFicz8NkHRzhjIbzvrZjJr5LdJmvbFQn7bVzPTGSO/TRO1Lx7y276amc4Y+W2aqF3xkN921cuJbJHfTlC1Kyby2656mcwW+W2SpnOxkN8G2CK/DUC0NATy29LCGUwb+W0QpoWhkN8WFs1wyshvw0AtDIf8trBohlNGfhsGalk45LdlBXMgXeS3A1AtC4n8tqxgBtNFfhuE6WAo5LcBuMhvAxAtDYH8trRwBtNGfhuEaWEo5LeFRTOcMvLbMFALwyG/LSya4ZSR34aBWhYO+W1ZwRxIF/ntAFTLQiK/LSuYwXSR3wZhOhgK+W0ALvLbAERLQyC/LS2cwbSR3wZhWhgK+W1h0QynjPw2DNTCcMhvC4tmOGXkt2GgloVDfltWMAfSRX47ANWykMhvywpmMF3kt0GYDoZCfhuAi/w2ANHSEMhvSwtnMG3kt0GYFoZCfltYNMMpI78NA7UwHPLbwqIZThn5bRioZeGQ35YVzIF0kd8OQLUsJPLbsoIZTBf5bRCmg6GQ3w7CJTQEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQi4QwD57Q53WoUABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEHCSC/HYRLaAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEHCHAPLbHe60CgEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAg4SQH6nCfeJZ1+SafOW66sHnzpAZky8XAoL8tKMxmVeJ/DOex9J5aQF8vGWL6KpHtnvQFkyZ7xUlJfKtu01MmryItm4abN+fMXiyXJC/8O83i3yS4GAeq6/+8Encm3l0A5nJ6s5vyNSgGvJKQuXrpID9usj5w86KZpxfP3VA/vsvYcsnTdBDtq/r+xoaJLp85fLmhfW6mtumXR5h+st6Xqg04z/vR/7Oz8CpqvnebLfEYGGa0nnX1n3lgwfNyeabfz9Xmz9IyeNvHBQ9PUi9vpE48cSDIFOM77G8b/Lkz3PuRewf/ioe4D7H3k22pHYe3zuBeyvb3d6ELkvGD3snA73dF09z7kf7A5h75+baAwkuxdI9jrh/V6TIQT8QQD5nUYd1ZuZBUtXRcWnuilSR7wcSyM0l3iUgHqhmzp7mcyacoUWW7FH5KZmwHGH6xuhrs71aPdIKwGBWGkRKzPUqclqzu8Ifwyp2JvZzoTHhMqhCT/oin1diNz0dnauP2j5rxfqefzBR59G3+Cqmn7y6dboh91dPc+T/Y7wHy1/9kj9Dtiv7176OR6paZ+9ekfv99Tja199M+EEiPh7ga7O9Sc9+3ular7kwV/LiAvO7DDRIfK7PNnznHsB+8eAev1+YOVzMmrYuXqSU/zzOtnrO/cC9o+BSA9iPxCPvSdM9jxnDPh/DHT1+p7sdcI/dOgJBLxPAPmdRo3iZwHGv+ilEZJLPE6gK6GtHpt/90qZff0V+s1R/Iucx7tGekkIJJr5nazm/I7w17DqauZ3IqGt3gxPuXWZTBx9QfTDMj4ktX9MJHqDG/uNgNjHt1bV8Lpgf8l360H8G9yu3vDGv3bwwbj9AyKRxOjq/o97AftrHt+DeNndlfzmXsA/9Y/Ucszl58lDq34jkQlPqoddPc/V49wP+mMcdDUGkn0QjifwxxigF/YTQH53s4aJxCZvaLoJ0cLTu/r6e6IPPxBdFha5k5QTye+uaq5mB6nlLmJvjPkdYfd4SGXZk9glTxLVm1mfdo8BlX1sDdX/u3qeb91W3eEbYpE3yOpvviVm71iIf22P/6pz7LeE4s9NNkPUXirByTxyLzh7yhX62wDcCwSn9pGeqppPmb0susRZ/HIG3Av4b0zE/u7++mEHdnjtT+YFFI34bw5zP2jfGOlqDETuDyPL4ar/xy9/FrtiAPeD9tWfjP1DAPndzVpGXuR+OOTk6FfdEVvdhOiD02O//v76W5vlsdUvdvjaM/LbB0Xe2YXO5HdnNY/Ib35H+GcMJJLf8b1T42TV6hf1cljxs37jxSn7Q9g3NuJf55PdCyj5zeuCfXXuKuNk3/KLvDkeOuRkvVRO/O8N5Le94yFWcMYvd8C9gL117U7msZNgutrXh3uB7lD1/rnxr/XxsjvZvYDqYeysX+4HvV/z+AyTjYH48+PvBdS9A/eD9tWdjP1JAPndzbom+4Q3fj3obobndEsIxC578fZ//ssMP0vqlk6azPxOh5q/rklFfsd+vVn1npk+/hkD8bM9Vc+S3Qsw89s/9Vc9iZ/t2VnvYl8vmPntrzGQ6HnPzG//1ThZj5J9iMW9QDKCdj2eaEPTSA/UB2FnfndAl98C437QrnonyjbZGFAfdscfsfcCfEPc/jFAD/xDAPmdRi1Zwy8NaD67JFZ+s7arz4ob1x3W/PZ3fVPpXXfld+9epazxmApYC85JJL4jaXd1L8DrggXFTTHFVMW3Chf7esGa3ykCtuy02Lqy/4dlxTOUblf3BLHym3sBQ8A9FCbRB9+s+e2hAmUglVT29urO60QGUqYJCEBgJwHkdxpDIdmuzmmE5BKPE/jNiy/LwV/dN+Hmdezi7PHi9TC9RPI7Wc35HdFD6B67PNEbXVVjdah1XyPSa+2rb0aXP4qd9ZlsppjHuks6OwkkW9Ksq+d5st8RQLaDQFdLnagaP77mT/L9wd8RtZRR/PM8fvywzqsdNY/NUtX0gZXPiVrOLLbGkaVtkj3PuRewr+bxGavn8Qt/flWuvGSIfijRuu/cC9hf51R7kEh8Jnuecz+YKl07zku09E1X9wLJXifs6DVZQsAfBJDfadYxdpOjwacO6LDec5ohuczDBNSNzfBxc6IZxtc8/itRXa0H6OFukloMgfiaq4di65qs5vyOsH84xW9mF7+RVeWkBfLxli90R4/sd6Be77uivFT/P3Kzu+aFtfr/sevE2k8mGD2Ir3+k17G/B7p6nif7HREMinb3UkmL+x95tkMnYn8PxD8e/zyPfR2J/x1hN5ngZJ+sxsme59wL2D1W4l/L4+8FY9cC517A7lqnkn1ns367ep5zP5gKWXvO6Wz2f+y9Qvy9QLLXCXt6T6YQsJsA8tvu+pE9BCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIJCCA/GZYQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgO8IIL99V1I6BAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAshvxgAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQj4jgDy23clpUMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCA/GYMQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgO8IIL99V1I6BAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAshvxgAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQj4jgDy23clpUMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCA/GYMQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgO8IIL99V1I6BAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAshvxgAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQj4jgDy23clpUMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCA/GYMQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgO8IIL99V1I6BAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAshvxgAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQj4jgDy23clpUMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCA/GYMQAACEIAABCAAAQhAwGUCTzz7kqx99U2ZMfFyKSzIczkbmocABCAAAQhAAAIQgIA/CCC//VFHegEBCEAAAhCAAAR8R2BHQ5NMn79c1rywtkPf9tl7D1k6b4IctH9f/XMljletflGWzBkvFeWlVkkVHrMAAAjUSURBVHJAfltZNpKGAAQgAAEIQAACEPA4AeS3xwtEehCAAAQgAAEIQCCoBCLyu89eveXayqFRDAuXrpKX171lteyOrynyO6ijnH5DAAIQgAAEIAABCDhJAPntJF1iQwACEIAABCAAAQikTaAz+R0/0zteHEf+f9bp35RRkxfp9uNni8cnFWlrwHGHy7sffCL3P/KsPmXwqQOiS5Fs216j402oHCon9D9MPx573fmDTpLIOSN+NFAeePR52bhpsz7vlkmXy9FHHCyVkxbIx1u+0D9bsXhyNE4k56MOP0hm3/GwfvzIfgfuJvjVedPmLY+mnyhGbL9jH0+7EFwIAQhAAAIQgAAEIAABSwkgvy0tHGlDAAIQgAAEIAABvxNIJL8T/SyR/FaCeOSFg6IzxtVs8U8+3drpmtqxS6xEhHFEZA8dcrLEiu1U5LeqTWQZllfWvSXDx83pILPVzxYsXRU9JyK1lSRXbakjPuf4fr7z3kdaps+ecoWW6JEYsf32+xihfxCAAAQgAAEIQAACEOiKAPKb8QEBCEAAAhCAAAQg4EkCna35rZKNlcSdzfyO3TwyXjbHdzh+BnfkcSWg1aGWXenOzO9YQZ7ouvifJVr2RMntqbOXyawpV0jvXqUy5dZlMnH0BdG1ziOCPJIfS6d4chiTFAQgAAEIQAACEICAiwSQ3y7Cp2kIQAACEIAABCAAgc4JdLbsSfyMbL/K71hB3ruirMOSKbHUIjO9kd88myAAAQhAAAIQgAAEINCRAPKbEQEBCEAAAhCAAAQg4EkCnclvlWys6H3uD2tl7atvRpc0SSSBbZz5HS+/I7PAD9q/b8J6Ib89OYxJCgIQgAAEIAABCEDARQLIbxfh0zQEIAABCEAAAhCAQOcEupLfseth+1V+xy97Er/ZZjw55DfPJghAAAIQgAAEIAABCHQkgPxmREAAAhCAAAQgAAEIeJJAZ/I7stHj6GHn6M0hM7XsSWebbarNNSNrkKeyvreCnWzN70RtKeH/7B/+JkvnTYiu+61mtH/w0acJOXiyqCQFAQhAAAIQgAAEIACBDBJAfmcQNk1BAAIQgAAEIAABCKROoKsNL1csniwn9D9MB8uU/I6V1hs3bdZtTxl7sWx48x0ZcNzhWkD3RH4riR57RNbyjv2Z6mvsefvsvUdUhjPzO/WxxZkQgAAEIAABCEAAAsEggPwORp3pJQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBQBFAfgeq3HQWAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAwCCC/g1FnegkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAIFAEkN+BKjedhQAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQDALI72DUmV5CAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAgUAeR3oMpNZyEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIBIMA8jsYdaaXEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQCRQD5Hahy01kIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAsEggPwORp3pJQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBQBFAfgeq3HQWAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAwCCC/g1FnegkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAIFAEkN+BKjedhQAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQDALI72DUmV5CAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAgUAeR3oMpNZyEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIBIMA8jsYdaaXEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQCRQD5Hahy01kIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAsEggPwORp3pJQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBQBFAfgeq3HQWAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAwCCC/g1FnegkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAIFAEkN+BKjedhQAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQDALI72DUmV5CAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAgUAeR3oMpNZyEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIBIMA8jsYdaaXEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQCRQD5Hahy01kIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAsEggPwORp3pJQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBQBFAfgeq3HQWAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAwCCC/g1FnegkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAIFAEkN+BKjedhQAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQDALI72DUmV5CAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAgUAeR3oMpNZyEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIBIMA8jsYdaaXEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQCRQD5Hahy01kIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAsEggPwORp3pJQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBQBFAfgeq3HQWAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAwCCC/g1FnegkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAIFAEkN+BKjedhQAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQDALI72DUmV5CAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAgUAeR3oMpNZyEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIBIMA8jsYdaaXEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQCReD/A3JQk7UaxvwdAAAAAElFTkSuQmCC",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= \"Initial System State\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "0869cad9-cfed-4c0b-94da-2f5fb9a6f2a4",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"coloraxis": "coloraxis",
"hovertemplate": "Bin number: %{x}
Chem. species: %{y}
Concentration: %{z}",
"name": "0",
"type": "heatmap",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"xgap": 0,
"y": [
"A"
],
"yaxis": "y",
"ygap": 0,
"z": [
[
30,
30.251300954433376,
30.502443181797695,
30.753268055279328,
31.00361714851215,
31.253332335643044,
31.50225589120757,
31.75023058975276,
31.99709980514407,
32.24270760949381,
32.48689887164855,
32.72951935517325,
32.97041581577035,
33.209436098072096,
33.44642923174517,
33.68124552684678,
33.913736668372024,
34.14375580993284,
34.371157666509326,
34.59579860621488,
34.81753674101715,
35.03623201635761,
35.25174629961296,
35.46394346734269,
35.67268949126756,
35.877852522924734,
36.07930297694605,
36.27691361290701,
36.47055961569444,
36.66011867434251,
36.845471059286886,
37.02649969798849,
37.20309024887907,
37.375131173581735,
37.54251380736104,
37.70513242775789,
37.86288432136619,
38.01566984870877,
38.16339250717184,
38.30595899195813,
38.44327925502015,
38.57526656193652,
38.70183754669526,
38.82291226434953,
38.93841424151264,
39.0482705246602,
39.15241172620917,
39.25077206834458,
39.34328942456612,
39.42990535892864,
39.510565162951536,
39.58521789017376,
39.65381638833274,
39.71631732914674,
39.77268123568194,
39.82287250728689,
39.86685944207868,
39.90461425696651,
39.936113105200086,
39.961336091431725,
39.98026728428272,
39.99289472640589,
39.99921044203816,
39.99921044203816,
39.99289472640589,
39.98026728428272,
39.961336091431725,
39.936113105200086,
39.90461425696651,
39.86685944207868,
39.82287250728689,
39.77268123568194,
39.71631732914674,
39.65381638833274,
39.58521789017376,
39.510565162951536,
39.42990535892864,
39.34328942456612,
39.25077206834458,
39.15241172620917,
39.0482705246602,
38.93841424151264,
38.82291226434953,
38.70183754669526,
38.57526656193652,
38.44327925502015,
38.30595899195813,
38.163392507171835,
38.01566984870877,
37.86288432136619,
37.70513242775789,
37.54251380736103,
37.375131173581735,
37.203090248879064,
37.02649969798849,
36.845471059286886,
36.66011867434251,
36.47055961569444,
36.27691361290701,
36.07930297694605,
35.877852522924734,
35.67268949126756,
35.463943467342695,
35.251746299612954,
35.03623201635761,
34.81753674101715,
34.59579860621488,
34.371157666509326,
34.14375580993284,
33.913736668372024,
33.68124552684678,
33.44642923174517,
33.20943609807209,
32.97041581577035,
32.72951935517325,
32.48689887164855,
32.24270760949381,
31.99709980514407,
31.75023058975276,
31.50225589120757,
31.25333233564304,
31.00361714851215,
30.753268055279324,
30.502443181797698,
30.251300954433372,
30,
29.748699045566624,
29.497556818202305,
29.246731944720672,
28.996382851487848,
28.746667664356956,
28.49774410879243,
28.24976941024724,
28.00290019485593,
27.757292390506187,
27.51310112835145,
27.270480644826748,
27.02958418422965,
26.790563901927904,
26.55357076825483,
26.31875447315322,
26.086263331627976,
25.85624419006716,
25.62884233349067,
25.404201393785122,
25.182463258982846,
24.96376798364239,
24.748253700387043,
24.53605653265731,
24.327310508732435,
24.122147477075266,
23.920697023053947,
23.72308638709299,
23.529440384305556,
23.339881325657483,
23.154528940713114,
22.97350030201151,
22.79690975112093,
22.624868826418258,
22.45748619263896,
22.294867572242104,
22.13711567863381,
21.984330151291235,
21.83660749282816,
21.69404100804187,
21.55672074497985,
21.424733438063477,
21.298162453304744,
21.177087735650467,
21.06158575848736,
20.951729475339807,
20.847588273790826,
20.74922793165542,
20.656710575433877,
20.570094641071353,
20.489434837048464,
20.41478210982624,
20.34618361166726,
20.28368267085326,
20.227318764318067,
20.17712749271311,
20.13314055792132,
20.09538574303349,
20.063886894799914,
20.038663908568275,
20.019732715717282,
20.007105273594107,
20.000789557961838,
20.000789557961838,
20.007105273594107,
20.019732715717282,
20.038663908568275,
20.063886894799914,
20.09538574303349,
20.13314055792132,
20.17712749271311,
20.227318764318063,
20.28368267085326,
20.346183611667264,
20.41478210982624,
20.489434837048464,
20.570094641071357,
20.65671057543388,
20.74922793165542,
20.847588273790823,
20.951729475339803,
21.06158575848736,
21.177087735650467,
21.29816245330474,
21.424733438063477,
21.55672074497985,
21.694041008041875,
21.836607492828158,
21.984330151291232,
22.137115678633812,
22.29486757224211,
22.457486192638967,
22.624868826418258,
22.796909751120932,
22.97350030201151,
23.154528940713117,
23.339881325657483,
23.529440384305556,
23.723086387092998,
23.92069702305395,
24.122147477075266,
24.327310508732435,
24.536056532657312,
24.748253700387046,
24.96376798364239,
25.182463258982846,
25.404201393785122,
25.628842333490674,
25.856244190067155,
26.086263331627976,
26.31875447315322,
26.553570768254833,
26.79056390192791,
27.02958418422965,
27.270480644826748,
27.513101128351455,
27.757292390506194,
28.00290019485593,
28.24976941024724,
28.497744108792432,
28.746667664356963,
28.996382851487848,
29.246731944720672,
29.497556818202305,
29.748699045566628,
29.999999999999996,
30.251300954433376,
30.502443181797698,
30.75326805527933,
31.003617148512145,
31.25333233564304,
31.50225589120757,
31.750230589752764,
31.997099805144074,
32.24270760949381,
32.48689887164855,
32.72951935517325,
32.97041581577035,
33.209436098072096,
33.44642923174517,
33.68124552684678,
33.91373666837203,
34.14375580993284,
34.37115766650933,
34.59579860621488,
34.81753674101716,
35.03623201635761,
35.25174629961296,
35.463943467342695,
35.67268949126757,
35.87785252292473,
36.07930297694605,
36.27691361290701,
36.47055961569445,
36.66011867434252,
36.845471059286886,
37.02649969798849,
37.20309024887907,
37.37513117358174,
37.54251380736104,
37.70513242775789,
37.86288432136619,
38.01566984870877,
38.163392507171835,
38.30595899195813,
38.44327925502015,
38.57526656193652,
38.70183754669526,
38.82291226434953,
38.93841424151264,
39.0482705246602,
39.15241172620917,
39.25077206834458,
39.34328942456612,
39.42990535892865,
39.510565162951536,
39.58521789017376,
39.65381638833274,
39.71631732914674,
39.77268123568194,
39.82287250728689,
39.86685944207868,
39.90461425696651,
39.936113105200086,
39.961336091431725,
39.98026728428272,
39.99289472640589,
39.99921044203816,
39.99921044203816,
39.99289472640589,
39.98026728428272,
39.961336091431725,
39.936113105200086,
39.90461425696651,
39.86685944207868,
39.82287250728689,
39.77268123568193,
39.71631732914673,
39.653816388332736,
39.58521789017376,
39.510565162951536,
39.42990535892864,
39.34328942456612,
39.25077206834458,
39.15241172620917,
39.0482705246602,
38.93841424151263,
38.82291226434954,
38.70183754669526,
38.57526656193652,
38.44327925502015,
38.30595899195812,
38.163392507171835,
38.01566984870876,
37.86288432136618,
37.705132427757896,
37.54251380736104,
37.37513117358174,
37.20309024887907,
37.02649969798849,
36.845471059286886,
36.66011867434251,
36.470559615694434,
36.276913612906995,
36.07930297694606,
35.877852522924734,
35.67268949126757,
35.46394346734269,
35.251746299612954,
35.0362320163576,
34.81753674101715,
34.59579860621487,
34.37115766650933,
34.14375580993284,
33.913736668372024,
33.68124552684678,
33.44642923174517,
33.20943609807209,
32.970415815770345,
32.729519355173245,
32.486898871648535,
32.24270760949382,
31.997099805144074,
31.75023058975276,
31.502255891207568,
31.253332335643037,
31.00361714851214,
30.75326805527932,
30.502443181797688,
30.25130095443338,
30.000000000000004,
29.748699045566628,
29.497556818202305,
29.246731944720672,
28.996382851487848,
28.746667664356952,
28.49774410879242,
28.249769410247247,
28.002900194855933,
27.75729239050619,
27.51310112835145,
27.270480644826748,
27.02958418422965,
26.7905639019279,
26.553570768254822,
26.318754473153213,
26.086263331627983,
25.856244190067162,
25.628842333490674,
25.404201393785122,
25.182463258982843,
24.963767983642388,
24.748253700387036,
24.5360565326573,
24.327310508732438,
24.122147477075274,
23.920697023053947,
23.723086387092994,
23.529440384305556,
23.33988132565748,
23.154528940713107,
22.9735003020115,
22.796909751120925,
22.624868826418265,
22.457486192638964,
22.294867572242108,
22.137115678633812,
21.984330151291232,
21.836607492828158,
21.694041008041868,
21.55672074497984,
21.42473343806348,
21.298162453304744,
21.177087735650467,
21.06158575848736,
20.951729475339803,
20.847588273790823,
20.749227931655415,
20.656710575433877,
20.570094641071357,
20.489434837048464,
20.41478210982624,
20.34618361166726,
20.28368267085326,
20.227318764318063,
20.17712749271311,
20.133140557921315,
20.095385743033486,
20.063886894799914,
20.038663908568275,
20.019732715717282,
20.007105273594107,
20.000789557961838,
20.000789557961838,
20.007105273594107,
20.019732715717286,
20.038663908568275,
20.063886894799914,
20.09538574303349,
20.13314055792132,
20.17712749271311,
20.227318764318067,
20.283682670853263,
20.346183611667264,
20.414782109826245,
20.489434837048464,
20.570094641071357,
20.65671057543388,
20.74922793165542,
20.847588273790826,
20.951729475339807,
21.061585758487368,
21.177087735650474,
21.29816245330474,
21.424733438063477,
21.55672074497985,
21.694041008041875,
21.836607492828165,
21.98433015129124,
22.137115678633815,
22.294867572242115,
22.45748619263896,
22.624868826418258,
22.79690975112093,
22.97350030201151,
23.154528940713114,
23.339881325657487,
23.529440384305563,
23.723086387093,
23.920697023053954,
24.122147477075266,
24.32731050873243,
24.53605653265731,
24.748253700387046,
24.963767983642395,
25.182463258982853,
25.40420139378513,
25.62884233349068,
25.85624419006715,
26.086263331627972,
26.31875447315322,
26.55357076825483,
26.790563901927907,
27.029584184229655,
27.270480644826755,
27.51310112835146,
27.7572923905062,
28.002900194855926,
28.24976941024724,
28.49774410879243,
28.74666766435696,
28.996382851487855,
29.24673194472068,
29.497556818202312,
29.748699045566635
]
]
}
],
"layout": {
"autosize": true,
"coloraxis": {
"colorbar": {
"title": {
"text": "Concentration"
}
},
"colorscale": [
[
0,
"rgb(254, 254, 253)"
],
[
0.09090909090909091,
"rgb(224, 224, 223)"
],
[
0.18181818181818182,
"rgb(197, 197, 195)"
],
[
0.2727272727272727,
"rgb(171, 171, 170)"
],
[
0.36363636363636365,
"rgb(146, 146, 145)"
],
[
0.45454545454545453,
"rgb(124, 123, 122)"
],
[
0.5454545454545454,
"rgb(102, 101, 101)"
],
[
0.6363636363636364,
"rgb(81, 80, 80)"
],
[
0.7272727272727273,
"rgb(59, 59, 59)"
],
[
0.8181818181818182,
"rgb(38, 38, 38)"
],
[
0.9090909090909091,
"rgb(16, 16, 16)"
],
[
1,
"rgb(0, 0, 0)"
]
]
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Initial System State (as a heatmap)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"constrain": "domain",
"domain": [
0,
1
],
"range": [
-0.5,
499.5
],
"scaleanchor": "y",
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"constrain": "domain",
"domain": [
0,
1
],
"range": [
0.5,
-0.5
],
"title": {
"text": "Chem. species"
},
"type": "category"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"fig = px.imshow(bio.system_snapshot().T, \n",
" title= \"Initial System State (as a heatmap)\", \n",
" labels=dict(x=\"Bin number\", y=\"Chem. species\", color=\"Concentration\"),\n",
" text_auto=False, color_continuous_scale=\"gray_r\") \n",
"\n",
"fig.data[0].xgap=0\n",
"fig.data[0].ygap=0\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "117dd061-3c8e-469b-ba03-c13f60533190",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.0 | \n",
"
\n",
" \n",
" | 1 | \n",
" 2.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 136826.215286 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.0 | \n",
" 1.000000 | \n",
"
\n",
" \n",
" | 2 | \n",
" 2.0 | \n",
" 45466.923974 | \n",
"
\n",
" \n",
" | 3 | \n",
" 3.0 | \n",
" 2.992211 | \n",
"
\n",
" \n",
" | 4 | \n",
" 4.0 | \n",
" 3.980559 | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 246 | \n",
" 246.0 | \n",
" 11.415221 | \n",
"
\n",
" \n",
" | 247 | \n",
" 247.0 | \n",
" 11.413727 | \n",
"
\n",
" \n",
" | 248 | \n",
" 248.0 | \n",
" 11.412659 | \n",
"
\n",
" \n",
" | 249 | \n",
" 249.0 | \n",
" 11.412018 | \n",
"
\n",
" \n",
" | 250 | \n",
" 250.0 | \n",
" 11.411805 | \n",
"
\n",
" \n",
"
\n",
"
251 rows × 2 columns
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.332297 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.332297 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.331275 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.330264 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.329262 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.328268 | \n",
" | \n",
"
\n",
" \n",
" | 6 | \n",
" 60.0 | \n",
" 0.327283 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 70.0 | \n",
" 0.326304 | \n",
" | \n",
"
\n",
" \n",
" | 8 | \n",
" 80.0 | \n",
" 0.325332 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 90.0 | \n",
" 0.324367 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 100.0 | \n",
" 0.323409 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 110.0 | \n",
" 0.322456 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 120.0 | \n",
" 0.321510 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 130.0 | \n",
" 0.320569 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 140.0 | \n",
" 0.319634 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 150.0 | \n",
" 0.318705 | \n",
" | \n",
"
\n",
" \n",
" | 16 | \n",
" 160.0 | \n",
" 0.317781 | \n",
" | \n",
"
\n",
" \n",
" | 17 | \n",
" 170.0 | \n",
" 0.316862 | \n",
" | \n",
"
\n",
" \n",
" | 18 | \n",
" 180.0 | \n",
" 0.315948 | \n",
" | \n",
"
\n",
" \n",
" | 19 | \n",
" 190.0 | \n",
" 0.315040 | \n",
" | \n",
"
\n",
" \n",
" | 20 | \n",
" 200.0 | \n",
" 0.314137 | \n",
" | \n",
"
\n",
" \n",
" | 21 | \n",
" 210.0 | \n",
" 0.313238 | \n",
" | \n",
"
\n",
" \n",
" | 22 | \n",
" 220.0 | \n",
" 0.312345 | \n",
" | \n",
"
\n",
" \n",
" | 23 | \n",
" 230.0 | \n",
" 0.311456 | \n",
" | \n",
"
\n",
" \n",
" | 24 | \n",
" 240.0 | \n",
" 0.310572 | \n",
" | \n",
"
\n",
" \n",
" | 25 | \n",
" 250.0 | \n",
" 0.309692 | \n",
" | \n",
"
\n",
" \n",
" | 26 | \n",
" 260.0 | \n",
" 0.308817 | \n",
" | \n",
"
\n",
" \n",
" | 27 | \n",
" 270.0 | \n",
" 0.307947 | \n",
" | \n",
"
\n",
" \n",
" | 28 | \n",
" 280.0 | \n",
" 0.307081 | \n",
" | \n",
"
\n",
" \n",
" | 29 | \n",
" 290.0 | \n",
" 0.306219 | \n",
" | \n",
"
\n",
" \n",
" | 30 | \n",
" 300.0 | \n",
" 0.305362 | \n",
" | \n",
"
\n",
" \n",
" | 31 | \n",
" 310.0 | \n",
" 0.304509 | \n",
" | \n",
"
\n",
" \n",
" | 32 | \n",
" 320.0 | \n",
" 0.303660 | \n",
" | \n",
"
\n",
" \n",
" | 33 | \n",
" 330.0 | \n",
" 0.302816 | \n",
" | \n",
"
\n",
" \n",
" | 34 | \n",
" 340.0 | \n",
" 0.301976 | \n",
" | \n",
"
\n",
" \n",
" | 35 | \n",
" 350.0 | \n",
" 0.301139 | \n",
" | \n",
"
\n",
" \n",
" | 36 | \n",
" 360.0 | \n",
" 0.300307 | \n",
" | \n",
"
\n",
" \n",
" | 37 | \n",
" 370.0 | \n",
" 0.299479 | \n",
" | \n",
"
\n",
" \n",
" | 38 | \n",
" 380.0 | \n",
" 0.298655 | \n",
" | \n",
"
\n",
" \n",
" | 39 | \n",
" 390.0 | \n",
" 0.297835 | \n",
" | \n",
"
\n",
" \n",
" | 40 | \n",
" 400.0 | \n",
" 0.297018 | \n",
" | \n",
"
\n",
" \n",
" | 41 | \n",
" 410.0 | \n",
" 0.296206 | \n",
" | \n",
"
\n",
" \n",
" | 42 | \n",
" 420.0 | \n",
" 0.295397 | \n",
" | \n",
"
\n",
" \n",
" | 43 | \n",
" 430.0 | \n",
" 0.294592 | \n",
" | \n",
"
\n",
" \n",
" | 44 | \n",
" 440.0 | \n",
" 0.293791 | \n",
" | \n",
"
\n",
" \n",
" | 45 | \n",
" 450.0 | \n",
" 0.292994 | \n",
" | \n",
"
\n",
" \n",
" | 46 | \n",
" 460.0 | \n",
" 0.292200 | \n",
" | \n",
"
\n",
" \n",
" | 47 | \n",
" 470.0 | \n",
" 0.291410 | \n",
" | \n",
"
\n",
" \n",
" | 48 | \n",
" 480.0 | \n",
" 0.290624 | \n",
" | \n",
"
\n",
" \n",
" | 49 | \n",
" 490.0 | \n",
" 0.289841 | \n",
" | \n",
"
\n",
" \n",
" | 50 | \n",
" 500.0 | \n",
" 0.289062 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
33.93369475380027,
33.9401742755265,
33.95311131246078,
33.972461972842495,
33.99816072107114,
34.03012073695306,
34.068234389407934,
34.11237382019419,
34.16239163221639,
34.218121676055226,
34.27937992752214,
34.34596544829816,
34.417661421077185,
34.494236250105615,
34.57544471759737,
34.661029186209284,
34.75072083758791,
34.84424093694386,
34.94130211367174,
35.041609648208166,
35.14486275560139,
35.25075585664583,
35.35897982790575,
35.46922322250373,
35.58117345417107,
35.69451793773797,
35.808945179968994,
35.924145815412366,
36.03981358271798,
36.155646237677246,
36.27134640003567,
36.38662233191801,
36.50118864647217,
36.61476694607725,
36.72708639016078,
36.8378841933262,
36.9469060550967,
37.0539065231307,
37.158649292255,
37.26090744209011,
37.36046361640788,
37.45711014766435,
37.55064913038984,
37.640892447297375,
37.7276617520904,
37.81078841301477,
37.89011342121296,
37.965487267902695,
38.03676979432398,
38.10383001828188,
38.16654594096204,
38.224804337517746,
38.27850053472554,
38.32753817878644,
38.371828996115916,
38.41129254972291,
38.445855993530316,
38.47545382673989,
38.50002765009757,
38.51952592567385,
38.53390374153952,
38.543122582493886,
38.54715010779092,
38.545959936610586,
38.53953144183941,
38.52784955255585,
38.510904565463875,
38.48869196538159,
38.46121225477117,
38.42847079219081,
38.39047763945962,
38.347247417249655,
38.298799168757206,
38.24515623105508,
38.18634611368883,
38.122400384052256,
38.05335455905856,
37.979248002613375,
37.900123828393475,
37.81602880743816,
37.72701328006992,
37.63313107167428,
37.534439411886446,
37.430998856752836,
37.322873213458,
37.21012946723213,
37.09283771007935,
36.97107107099375,
36.84490564735537,
36.71442043722517,
36.57969727228331,
36.44082075117952,
36.297878173089025,
36.15095947128932,
36.00015714659564,
35.845566200512714,
35.68728406797972,
35.52541054960322,
35.36004774328879,
35.19129997519801,
35.01927372997043,
34.844077580163706,
34.66582211487581,
34.48461986752438,
34.30058524276717,
34.113834442556296,
33.92448539132653,
33.73265766032464,
33.53847239109294,
33.34205221812535,
33.14352119071936,
32.943004694051105,
32.74062936950503,
32.53652303429214,
32.330814600394376,
32.12363399287483,
31.91511206759561,
31.705380528387472,
31.494571843716372,
31.28281916289422,
31.07025623188179,
30.857017308733,
30.643237078730767,
30.42905056926529,
30.21459306450616,
30.0000000199205,
29.785406976689448,
29.570949476075917,
29.35676297379656,
29.142982754451328,
28.92974384606383,
28.717180934786086,
28.505428279820954,
28.294619628615706,
28.084888132379984,
27.876366261981254,
27.66918572427069,
27.463477378892264,
27.259371155627292,
27.056995972326813,
26.856479653483248,
26.657948849492968,
26.4615289566606,
26.267344037995574,
26.075516744850873,
25.88616823945359,
25.69941811837599,
25.515384336995655,
25.334183134992177,
25.155928962927593,
24.980734409956906,
24.80871013271428,
24.639964785419906,
24.474604951251642,
24.312735075024765,
24.15445739722237,
23.99987188941806,
23.84907619113177,
23.702165548158543,
23.55923275240924,
23.420368083301145,
23.28565925073559,
23.155191339698476,
23.029046756518756,
22.907305176818873,
22.7900434951899,
22.67733577662326,
22.569253209729702,
22.465864061775058,
22.367233635561142,
22.273424228179156,
22.184495091661436,
22.100502395556674,
22.021499191451966,
21.947535379464345,
21.878657676722746,
21.814909587860512,
21.756331377536895,
21.702960045005078,
21.654829300742616,
21.611969545159184,
21.574407849395044,
21.54216793822231,
21.5152701750599,
21.49373154911152,
21.47756566463498,
21.4667827323494,
21.461389562985932,
21.461389562985932,
21.4667827323494,
21.47756566463498,
21.49373154911152,
21.5152701750599,
21.54216793822231,
21.574407849395044,
21.611969545159184,
21.654829300742616,
21.702960045005078,
21.756331377536895,
21.814909587860512,
21.878657676722746,
21.947535379464345,
22.021499191451966,
22.100502395556667,
22.18449509166142,
22.273424228179138,
22.367233635561114,
22.46586406177501,
22.56925320972964,
22.677335776623167,
22.79004349518977,
22.907305176818696,
23.029046756518508,
23.155191339698135,
23.285659250735133,
23.420368083300517,
23.55923275240837,
23.702165548157343,
23.849076191130102,
23.99987188941576,
24.1544573972192,
24.312735075020413,
24.47460495124567,
24.63996478541172,
24.808710132703077,
24.98073440994162,
25.155928962906767,
25.33418313496386,
25.515384336957233,
25.699418118323933,
25.886168239383196,
26.075516744755866,
26.267344037867566,
26.46152895648846,
26.657948849261906,
26.856479653173672,
27.056995971912823,
27.2593711550747,
27.46347737815602,
27.669185723291605,
27.876366260681632,
28.084888130658104,
28.294619626338612,
28.505428276815227,
28.71718093082596,
28.92974384085595,
29.142982747615285,
29.356762964840023,
29.57094946436292,
29.78540696140014,
29.999999999999996,
30.21459303859985,
30.429050535637074,
30.64323703515997,
30.857017252384708,
31.070256159144048,
31.28281906917404,
31.494571723184773,
31.705380373661388,
31.9151118693419,
32.12363373931837,
32.3308142767084,
32.536522621843986,
32.74062884492531,
32.94300402808719,
33.143520346826335,
33.34205115073811,
33.538471043511535,
33.732655962132434,
33.92448325524414,
34.113831760616804,
34.30058188167608,
34.48461566304279,
34.66581686503615,
34.84407103709324,
35.01926559005837,
35.19128986729691,
35.36003521458828,
35.52539504875433,
35.68726492497959,
35.84554260278081,
36.00012811058425,
36.1509238088699,
36.29783445184266,
36.44076724759163,
36.57963191669948,
36.71434074926487,
36.844808660301865,
36.97095324348149,
37.0926948231813,
37.209956504810215,
37.32266422337682,
37.430746790270355,
37.53413593822499,
37.63276636443888,
37.72657577182086,
37.81550490833857,
37.899497604443326,
37.97850080854802,
38.05246462053564,
38.12134232327723,
38.18509041213947,
38.2436686224631,
38.2970399549949,
38.345170699257366,
38.38803045484079,
38.42559215060493,
38.45783206177765,
38.48472982494006,
38.506268450888435,
38.52243433536497,
38.53321726765055,
38.53861043701403,
38.53861043701403,
38.53321726765055,
38.52243433536497,
38.506268450888435,
38.48472982494006,
38.45783206177765,
38.42559215060493,
38.38803045484079,
38.345170699257366,
38.2970399549949,
38.2436686224631,
38.18509041213947,
38.12134232327723,
38.05246462053564,
37.97850080854801,
37.89949760444331,
37.815504908338546,
37.72657577182083,
37.63276636443884,
37.53413593822493,
37.43074679027028,
37.32266422337671,
37.209956504810066,
37.09269482318108,
36.970953243481176,
36.844808660301425,
36.71434074926425,
36.57963191669863,
36.440767247590436,
36.29783445184101,
36.15092380886762,
36.000128110581095,
35.84554260277647,
35.687264924973626,
35.52539504874616,
35.36003521457711,
35.191289867281654,
35.01926559003758,
34.84407103706495,
34.665816864997744,
34.48461566299075,
34.30058188160571,
34.11383176052182,
33.92448325511615,
33.73265596196032,
33.5384710432805,
33.342051150428546,
33.14352034641236,
32.9430040275346,
32.74062884418908,
32.5365226208649,
32.33081427540879,
32.123633737596506,
31.91511186706482,
31.705380370655682,
31.494571719224666,
31.282819063966183,
31.070256152308023,
30.85701724342819,
30.643237023447004,
30.42905052034779,
30.214593018679373,
29.99999997409371,
29.785406927771945,
29.570949420792147,
29.35676290849176,
29.142982674877565,
28.929743747135795,
28.717180810294384,
28.505428122089167,
28.294619428084918,
28.084887877101675,
27.876365936995683,
27.669185310843478,
27.463476853576314,
27.259370489110786,
27.056995128019807,
26.856478585786416,
26.657947501680503,
26.461527258296265,
26.26734190178519,
26.075514062816385,
25.886164878292096,
25.699413913842324,
25.51537908711756,
25.334176591893385,
25.15592082299472,
24.98072430204054,
24.80869760400258,
24.639949284562842,
24.474585808245536,
24.3127114772885,
24.154428361207792,
23.99983622699632,
23.84903246988372,
23.702112044569436,
23.559167396824535,
23.42028839534019,
23.285562263681605,
23.15507351218584,
23.02890386962043,
22.907132214396764,
22.789834505108562,
22.677083710140664,
22.568949736068152,
22.46549935453959,
22.36679612731203,
22.272900329079526,
22.183868867711272,
22.099755201491313,
22.02060925292906,
21.946477318689332,
21.87740197517341,
21.81342197926854,
21.754572163774615,
21.70088332701282,
21.652382116123814,
21.609090903573325,
21.57102765640156,
21.53820579778082,
21.510634060484502,
21.48831633192069,
21.47125149044617,
21.45943323275289,
21.452849892209077,
21.451484248142624,
21.45531332617489,
21.464308189849593,
21.478433723954033,
21.497648410097664,
21.521904095296904,
21.5511457545129,
21.5853112483006,
21.624331076951034,
21.668128132742588,
21.716617452158594,
21.76970597017568,
21.827292278976483,
21.889266393688356,
21.95550952799256,
22.02589388268223,
22.10028245046747,
22.178528840527566,
22.260477126488663,
22.34596172165547,
22.434807285442055,
22.526828665025455,
22.621830876280903,
22.719609128045118,
22.819948893689613,
22.922626033866248,
23.027406974108363,
23.134048940731322,
23.24230025817373,
23.351900710555032,
23.462581969796314,
23.574068092160868,
23.686076084521538,
23.79831654105675,
23.91049435042158,
24.022309472739636,
24.133457785023488,
24.243631992863783,
24.35252260543919,
24.4598189701009,
24.56521036198749,
24.668387123339368,
24.76904184641919,
24.866870593216582,
24.96157414443526,
25.052859269638667,
25.14044000987898,
25.224038963663503,
25.303388566732533,
25.378232355841526,
25.4483262065663,
25.513439535087887,
25.573356453968366,
25.627876872103172,
25.676817529329266,
25.720012956581403,
25.75731635301702,
25.788600372169594,
25.813757809932827,
25.83270218801639,
25.845368227436357,
25.85171220759996
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "System State at time t=500.0000000000452"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
20.50172503371772,
39.49690932221583
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "b145c656-2452-429a-b368-3d38801e712f",
"metadata": {},
"source": [
"#### Note how the curve is beginning to flatten; the peaks are no longer between 20 and 40"
]
},
{
"cell_type": "markdown",
"id": "81bfe562-363a-464d-98a0-1c06feb16dfe",
"metadata": {},
"source": [
"## Do 150 more rounds of diffusion - to time t = 2000"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "0bcd2ff1-e07b-4bdf-9dc3-31a5abf8461e",
"metadata": {},
"outputs": [],
"source": [
"for i in range(150):\n",
" bio.diffuse(total_duration=10, n_steps=75) # Notice the gradual decreas of the number of intermediate steps, given the smaller gradient\n",
" frequency_data = bio.frequency_analysis(species_name=\"A\")\n",
" ratio = frequency_data.loc[2, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n",
" bio.add_snapshot(data_snapshot={\"ratio\": ratio})"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "219eb0f8-1ba0-4384-b261-3e95b572015b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.332297 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.331275 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.330264 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.329262 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 196 | \n",
" 1960.0 | \n",
" 0.203404 | \n",
" | \n",
"
\n",
" \n",
" | 197 | \n",
" 1970.0 | \n",
" 0.202963 | \n",
" | \n",
"
\n",
" \n",
" | 198 | \n",
" 1980.0 | \n",
" 0.202523 | \n",
" | \n",
"
\n",
" \n",
" | 199 | \n",
" 1990.0 | \n",
" 0.202085 | \n",
" | \n",
"
\n",
" \n",
" | 200 | \n",
" 2000.0 | \n",
" 0.201648 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
201 rows × 3 columns
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
35.927996367883686,
35.928735253960035,
35.93021031833896,
35.93241615054382,
35.93534464752552,
35.938985028828895,
35.94332385676086,
35.948345061513855,
35.95402997118766,
35.96035734664096,
35.9673034210937,
35.974841944390356,
35.982944231824,
35.99157921741124,
36.000713511498155,
36.01031146256818,
36.02033522311411,
36.03074481942787,
36.04149822515356,
36.05255143844177,
36.06385856253633,
36.07537188961779,
36.08704198772204,
36.098817790546995,
36.11064668995527,
36.12247463097642,
36.13424620910849,
36.14590476971527,
36.15739250931313,
36.16865057853908,
36.17961918659026,
36.19023770692394,
36.20044478400694,
36.21017844090326,
36.21937618748984,
36.227975129090964,
36.23591207532439,
36.243123648953876,
36.24954639454586,
36.255116886731436,
36.25977183787808,
36.26344820498019,
36.2660832955816,
36.267614872548535,
36.26798125751677,
36.267121432842046,
36.264975141889444,
36.261482987502944,
36.256586528503625,
36.25022837407132,
36.242352275871646,
36.23290321779769,
36.221827503202796,
36.2090728395084,
36.19458842007862,
36.17832500326077,
36.160234988498914,
36.1402724894352,
36.1183934039214,
36.0945554808713,
36.068718383891515,
36.040843751636814,
36.01089525484289,
35.97883864999744,
35.944641829617574,
35.90827486910871,
35.86971007018721,
35.828922000856174,
35.7858875319296,
35.74058587010792,
35.692998587612706,
35.643109648395686,
35.59090543094197,
35.536374747693685,
35.479508861124934,
35.420301496504486,
35.358748851387055,
35.29484960187872,
35.22860490572617,
35.16001840228355,
35.089096209414095,
35.01584691738772,
34.94028157983809,
34.86241370184646,
34.78225922522149,
34.69983651104699,
34.615166319571664,
34.528271787516566,
34.439178402877786,
34.34791397730333,
34.2545086161241,
34.1589946861201,
34.0614067811035,
33.961781685400794,
33.86015833531685,
33.756577778663406,
33.65108313243493,
33.543719538714306,
33.43453411889076,
33.32357592627159,
33.21089589716913,
33.09654680054321,
32.98058318627876,
32.86306133217717,
32.744039189739134,
32.62357632881524,
32.50173388119973,
32.37857448324131,
32.25416221754365,
32.128562553826825,
32.001842289019535,
31.87406948665031,
31.745313415604766,
31.615644488313922,
31.48513419843756,
31.35385505810478,
31.22188053477236,
31.089284987760138,
30.956143604520854,
30.82253233670058,
30.688527836044177,
30.554207390198847,
30.4196488584672,
30.284930607560007,
30.15013144739722,
30.01533056700449,
29.880607470551066,
29.74604191357362,
29.61171383942922,
29.477703316019394,
29.3440904728261,
29.210955438299088,
29.078378277633117,
28.94643893097219,
28.815217152077196,
28.684792447492008,
28.555244016242142,
28.426650690099315,
28.299090874444047,
28.172642489757656,
28.047382913774197,
27.923388924321888,
27.800736642882903,
27.679501478899564,
27.55975807485423,
27.44158025214941,
27.32504095781398,
27.21021221206063,
27.097165056719074,
26.985969504568867,
26.876694489594996,
26.769407818188935,
26.664176121317066,
26.561064807677976,
26.460138017869372,
26.361458579584962,
26.26508796386087,
26.171086242390903,
26.07951204592906,
25.990422523797516,
25.903873304517365,
25.81991845757927,
25.73861045637026,
25.660000142272573,
25.584136689949883,
25.511067573835593,
25.440838535837436,
25.373493554271942,
25.309074814041885,
25.247622678069202,
25.18917565999521,
25.133770398159538,
25.08144163086841,
25.03222217296251,
24.98614289369377,
24.943232695920187,
24.903518496626752,
24.867025208780223,
24.83377572452475,
24.803790899724618,
24.777089539859812,
24.75368838727949,
24.733602109817603,
24.71684329077438,
24.703422420266612,
24.693347887949034,
24.68662597710832,
24.683260860130595,
24.68325459534261,
24.68660712522589,
24.693316276002655,
24.70337775859143,
24.716785170929562,
24.733530001659076,
24.753601635171677,
24.776987358007872,
24.80367236660439,
24.833639776383457,
24.86687063217669,
24.903343919975484,
24.943036579999287,
24.98592352107215,
25.03197763629735,
25.08116982001906,
25.13346898605938,
25.188842087218177,
25.2472541360226,
25.308668226712275,
25.37304555844555,
25.440345459711427,
25.510525413931013,
25.583541086231772,
25.65934635137708,
25.737893322832846,
25.819132382952375,
25.903012214259995,
25.98947983181312,
26.078480616622084,
26.16995835010614,
26.263855249563548,
26.36011200463312,
26.458667814723714,
26.559460427388018,
26.662426177615895,
26.76750002802242,
26.87461560990492,
26.983705265142937,
27.094700088914447,
27.207529973201183,
27.322123651055488,
27.438408741600522,
27.55631179573533,
27.675758342515767,
27.796672936181892,
27.918979203801985,
28.042599893503066,
28.16745692325732,
28.293471430193552,
28.42056382040251,
28.548653819204425,
28.677660521847077,
28.807502444602303,
28.93809757622851,
29.069363429766796,
29.201217094637794,
29.333575289006355,
29.466354412380944,
29.599470598414502,
29.732839767873337,
29.86637768174064,
29.99999999442093,
30.133622307011947,
30.26716022061018,
30.40052938961639,
30.53364557500743,
30.666424697540627,
30.79878289085721,
30.930636554451052,
31.061902406469354,
31.19249753631183,
31.322339456995152,
31.45134615724954,
31.579436153314496,
31.70652854040101,
31.83254304378761,
31.957400069517956,
32.08102075466791,
32.20332701715018,
32.32424160502522,
32.44368814528685,
32.56159119209201,
32.6778762744039,
32.792469943018375,
32.905299816943774,
33.01629462910483,
33.125384271341574,
33.23249983867473,
33.33757367280942,
33.440539404849766,
33.54133199719686,
33.63988778460377,
33.73614451436125,
33.8300413855887,
33.921519087605155,
34.01051983735587,
34.096987415870586,
34.18086720373011,
34.26210621551853,
34.340653133238774,
34.416458338670225,
34.489473944647344,
34.559653825239174,
34.62695364481015,
34.691330885943316,
34.75274487620768,
34.811156813752326,
34.86652979171018,
34.918828821395635,
34.96802085428028,
35.01407480273225,
35.05696155950507,
35.09665401596283,
35.13312707902905,
35.16635768684753,
35.19632482314407,
35.22300953027866,
35.246394920978865,
35.26646618874513,
35.283210616920215,
35.29661758641543,
35.30667858208689,
35.31338719775603,
35.31673913986938,
35.316732229792976,
35.313366404738126,
35.30664371731524,
35.29656833371392,
35.28314653050766,
35.26638669008252,
35.246299294689805,
35.2228969191234,
35.19619422202328,
35.16620793580723,
35.132956855233694,
35.09646182459923,
35.05674572357467,
35.013833451685045,
34.9677519114386,
34.91852999011121,
34.866198540193075,
34.810790358504924,
34.75234016399219,
34.69088457420561,
34.626462080477815,
34.559113021805615,
34.488879557448875,
34.41580563825688,
34.339936976734116,
34.26132101585775,
34.180006896659656,
34.0960454245866,
34.00948903465263,
33.92039175539829,
33.82880917167174,
33.734798386247725,
33.638417980300645,
33.53972797274856,
33.43878977848552,
33.33566616552047,
33.230421211041026,
33.12312025642141,
33.013829861194246,
32.902617756006585,
32.789552794580956,
32.67470490470311,
32.558145038258424,
32.439945120339914,
32.32017799745117,
32.198917384828334,
32.07623781290588,
31.95221457295169,
31.82692366189765,
31.700441726392654,
31.572846006105827,
31.444214276308433,
31.314624789763922,
31.184156217956183,
31.05288759168734,
30.92089824107692,
30.7882677349955,
30.65507581996684,
30.521402358573454,
30.3873272674017,
30.252930454563643,
30.118291756833937,
29.98349087644121,
29.84860731755471,
29.713720322508127,
29.57890880780383,
29.444251299942056,
29.309825871121017,
29.175710074855157,
29.04198088156032,
28.90871461415601,
28.775986883736348,
28.643872525362895,
28.512445534034057,
28.381779000887217,
28.251945049691408,
28.12301477368984,
27.995058172853277,
27.868144091606606,
27.7423401570928,
27.617712718039787,
27.49432678429746,
27.37224596711343,
27.2515324202178,
27.132246781788478,
27.01444811737013,
26.89819386382117,
26.78353977436446,
26.67053986481866,
26.559246361088277,
26.449709647991615,
26.34197821950664,
26.236098630515865,
26.13211545013185,
26.030071216685734,
25.930006394461625,
25.83195933226004,
25.735966223873724,
25.642061070559265,
25.550275645587824,
25.460639460957776,
25.37317973635175,
25.287921370419713,
25.20488691446878,
25.124096548639454,
25.04556806064634,
24.969316827160014,
24.89535579790473,
24.82369548254457,
24.75434394042828,
24.687306773260495,
24.62258712076396,
24.560185659394488,
24.500100604166768,
24.44232771364549,
24.386860298152364,
24.333689231235326,
24.282802964441707,
24.234187545432412,
24.1878266394691,
24.143701554301092,
24.10179126847316,
24.062072463069587,
24.024519556903865,
23.9891047451571,
23.95579804146186,
23.924567323421297,
23.895378381546827,
23.86819497159028,
23.842978870239534,
23.819689934139063,
23.798286162189605,
23.778723761073348,
23.760957213943552,
23.744939352209737,
23.730621430341845,
23.717953203608918,
23.706883008660224,
23.69735784684881,
23.689323470190054,
23.682724469839815,
23.677504366969682,
23.673605705909125,
23.670970149417403,
23.669538575940855,
23.669251178704563,
23.670047566480722,
23.671866865869834,
23.674647824924712,
23.678328917941755,
23.68284845123858,
23.68814466973202,
23.694155864126056,
23.70082047851504,
23.708077218203872,
23.71586515754346,
23.724123847577076,
23.73279342329093,
23.741814710260382,
23.751129330482186,
23.760679807182143,
23.770409668387597,
23.78026354905451,
23.79018729153974,
23.8001280442108,
23.810034357987316,
23.81985628061119,
23.829545448445614,
23.839055175607005,
23.848340540238098,
23.857358467735718,
23.86606781075179,
23.87442942579253,
23.882406246247097,
23.889963351684067,
23.897068033261707,
23.903689855105874,
23.909800711517946,
23.915374879883995,
23.920389069165708,
23.924822463863155,
23.928656763349533,
23.931876216488266,
23.934467651453517,
23.936420500685735,
23.937726820925263,
23.9383813082779
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Diffusion. System snapshot at time t=2000.0000000007922"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
22.969321729881663,
36.96791070633967
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "iVBORw0KGgoAAAANSUhEUgAABb8AAAFoCAYAAAB38YZnAAAAAXNSR0IArs4c6QAAIABJREFUeF7snQmcU9XZuN8ks+/ghqCiqK2414ViVT6tWi3W6ocVbdWquCC4FOQDGWQXAUEWNxAR1Kqt1a9qa6X6WVuLtqVa/Vu1auuKKIILzL5P8v+dGzJmMsnMTXK3c/Pc/ixM5tz3vOd5TzLDk5NzApFIJCJcEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEfEQggv31UTYYCAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACBgHkNxMBAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfvispA4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3MAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEfEcA+e27kjIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH4zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB3BJDfLpV06apHZM0v1xm9n37ScJkzeYwUFxVIqsddSpNuIZA1ATWnX3rtHVm5cKL0qyzPOh4BIAABCEAAAhCAAAQgAAEIQAACEIAABCBghgDy2wwlEWluaZNZi9fKU89t6HHHIUOHpBR7Svyt++PfZdWiSbLv4IHGvalkoBOS8LF162XGorVy3/KpcvThB5gcvTPNttfWy7ipy+SNtz/o1mH8mwNWZ6J4rLj/N93qY3UfuR7PjnltR8xYndKN/f7GzTJ2yhIZf9GZMmrkiG7l9uLzrbd8s5mrL7/2jlw8YWG3EDdOGdODiWqQ7Lmeqm1i3N132ynl8zXGO5ZEb6/NqcaaTgyzbZP9/Lj0xyPlurGje6RhFxs7OFo9rtjc/GzrVymnYuLPrsRxpap5Mq6pfrakM5ezec5wLwQgAAEIQAACEIAABCAAAQjYTwD5bZJx7B/5qnlslXa8LFOruJPJjET5HfsH+OgzTugmhVI9bjI90828KONU8jHZkMgwJkN27l9py8ph5LfpqZNxw3RlspmO7IgZ/3xOZ6U68vvr52+8wI5xGfndb3eTvLHXumGHH9D1eCqGsdeFeOGZ6jmb7PF050k6Mcy2TfazIxmD+DcFrGZjB0e7xpXq+Z+slok/X2M5vfrmu93eIInx3mvgrl0/v2NtP978ebefLTFWZuaymdcq2kAAAhCAAAQgAAEIQAACEICAuwSQ3yb59ya/e5O3ieHdlt8mh+tos77YqmQeeuxZGXnScMu3zUB+21/qdAWkmYzsiGmH/DYzFqfb2LHy+81/fyjFRYVdn26JjSnZ80s99siTz/d4Myvx8djrwoBd+3eT58ket+J1NZ0Y6bRVMrV6weoeq9WTPW4HG7s42jGuVM+FZHM2mdBP9QaCqpf6RNGI4Yd16yJZ3HTmstPPXfqDAAQgAAEIQAACEIAABCAAgfQJIL9NMjMjaPva4mRbTb2xPULiR7pvmnqZ3HHv4z0eV6sd+/erMO5ZUH15t21KUsmX+D3D1dASPwLe26pJtR1K7Er2cfCYcJxffblMW7C6a3uSbLclSbUKMllpemub7HvJPr4eW0WauGVBrL/4VabJPiqf+LH7mLBK5BJjn1j3dLZiSLYNQLIViWrLDXXF17Cv7QGSjVc9Fi+E+oqZbNuDxPmQ7rxJrEuyeLH98mNj6G0rDNUm1bZF2cZOtU1D7BMMqVYHb/l8m/x09KkyYeYdXc/7WC5vvvNBt+1DUj2/+uKU7PnTV74mXw5NN0scf2+vo4kyszdJn/jmRyoRauZ1OzaYdGKk0zbVGzWJ47OLjV0c7RhXqomVrK/e3rg0++ZYOm8E8Uap6ac9DSEAAQhAAAIQgAAEIAABCHiKAPLbZDnMSJRkH5dO/Ed4OisG40WkGfmd2FeynM18VD/Vx8FjYj1e3qYjrlOhjheTZvYiTyUhElcimvmof29Co7ePv8fv7xyTkMm4qNWGmfIys9oxXmbGS/Fk41LjeeHvr3dbRZuMUaqYiW3NbnuQzrxJNYcTtyYwK7dic07lunjlw3L+qJO7Vienek6nG7uvbU8S95SP8YiX2vHMkz0eP996e36a2a6lt3xT7buf+Nw18wZOsjx7e71IzCuVYFa5JM5vK0RoOjHMti0qLDTOilBX4nZZiSzsYmMHR7vG1dsbNol76vdWA7Oi2uw2YKmecyZ/faAZBCAAAQhAAAIQgAAEIAABCLhIAPltEr4Z+Z1sj1un5Hdv4uSZ51+SEcMPl+Kigh7SKJ2PjqeSgqk+qm8SrdEslXRLto96sjcQktUnVb7xH2tPJUlSbRWgck2Ma3arghgPs7xS5abmWXNLqxz8zX26rdKOP2zR7B7yycaZSo4mMt689cukBz2qdus3vCannjDMGLLZeWPFXExnzqm2ybZucEJ+q5Xfyc4OMPN4qu0mzK5iNdsuXZaJ7ZPt42+X4DUro/tVlqccVjoxzLa1SxKnI7TTaev2uJIVJ9XzMZ1xJYsbm4vqeysXTux1S61UZ1Jk+xzhfghAAAIQgAAEIAABCEAAAhCwnwDy2yRjr8vv+NXT8SuAE4eXbMVksv1305HJZlfZmURtyNLEbS0SJXiiEIkJvfgV8rFVfb1ty9KbYE623UwyYWqX/I4Jl95W2aYSmX0dqKdWpMdf8XzNbpOg7h83dZmx/U1vK/Z7k9/xq6JTcUxnLvY1xxK3ClHtE7dM8br8Vvklk+S9vWETz8UJ+Z3qoFrkd0FXKVj53X2Lpfg372KQkn36Jva9VKuxY1y/3FbbY5/1xHufem5Dr69dqr3dhy739ZrF9yEAAQhAAAIQgAAEIAABCEAgOwLIb5P8zMhvt7c9SbavcaLYS5S9vYm+xO+ZlZgmkZpuFpPh8YI1UXanEoLJZGdf24PEBPfFExamzDGeq13yO1UeZkR1MskYYxF/fzorv1U+iWNNtmI/UdabnTdWzMVUBUslxHRb+a3Gp7bRUNIu1ZXs0xJm5bcV2570JguR38hvs3PR7FYjiW+WqtefvQbuKolbJSG+Tf/IpSEEIAABCEAAAhCAAAQgAAFfEUB+myynGfmt/hG+7o9/77bazKltT5INI5mE0mHld+JYUq1UjQnviVecIxNn3ymTxo7udihoYpxke4tnsvI7Ma6d8juxr5joiQl8syu/U0nHdOV3X6uiY28Axa+2Nyu/7Vz5narOuslvtXVRqjd6TL6Updwqx+z9vbXra5WsXYc6pnMAZar804mRTttU858DL6PbDqk3GZN9cqS3Vd+9zcHePgGRzvkSfc1lK54vxIAABCAAAQhAAAIQgAAEIAAB+wkgv00y7kt+9yZo4w+hy/TAy8TDvhLjqK/V9hMjhh/WbUTJZHf8VhNW7LOc7bYnKvd1z22Q80edkrQaqXKMiUs15rf+81GPfVvj9zqPBU52qF71gtU9Ph6fzkGedsnv9Rv+aRyWGb9PcWJeZuV3X/t4D9i1f9dBmGbbxu89Hl+4TD8xkM5cNLtveiyv3vYNTqx/urF721892XMjlbw2+7gVzze1Xc3oM06QZFtNmHxJ7NEs2RsfyWKZfb6kkpjJHk/3dTVZXunESKdtqj3akz1uBxu7ONoxrlhdzK76TlbHVHmZ2Q4lFs/sXM70ucJ9EIAABCAAAQhAAAIQgAAEIOAcAeS3Sda9ye/Yatxk2w1ku/I7Wb/xWxPEVgAnk7XJ7k0l4+JXrKcSD2ZX8Cqk6RwQFj+exBWAvcXpa5/zZPkmjr+3/Y9T9a3yXXDbQ1J97fmGmDYrrGJTzaxcTVarREFsVn4nmwvx/MxspZL4yYZkfSebh+nMm8Q+Us3F3laMphJiiStMYzEStwZKN3Zvrw12yO9Yf6+++W6PN21Uf+rqTWr39UaeyZfEbs0yeb4PO/yAPt9wSVaLVPI/Fev4Nx/jn4MzFq2VxPMR0o0R/0aiip1srvf2Gh7PQN2f7PmT6jmeDpt02pplYNe44n9+9HZ+Rao3VlRdE3+OcLhlJs9q7oEABCAAAQhAAAIQgAAEIOAPAshvk3VMtp927NbeDiTMVn7HC5HYIYWqv/nVl8u0Bau7rd6MSZLPtn7VNapEId+bOFLSIHYlOyQyHYmZjgxTfabimygmE8vVm0hOFjNZrWK5xmLHi5NUeyAn7hue7NDQdKV4sqmYuJ9tIg+z8jsZYxVr+dyr5eePPCPJVn7HzyN1vxl2ql2isEpn3qj7E/dpT3VgaXy7vuZJvFCLcVbPjeO/fagkW/mfbuzEeRJ73tkhv2P5J3JKVaNk8ypVviZfDns0S5yniQ0SX4eSPa9SHZqa+Pzs7fU23bmTTK6ajZHOXE32WpRK7NrFxg6OdowrNn61b/ecyWNEbfWT6kocU6rXisR2ifHi51S6cznT5wz3QQACEIAABCAAAQhAAAIQgIAzBJDfznCmFxsIpLM1iQ3d+zZkb6vhfTtoBgYBCEAAAhCAAAQgAAEIQAACEIAABCDgOwLIb9+VNHcGlO3ex7lDKr2RIr/T40VrCEAAAhCAAAQgAAEIQAACEIAABCAAAW8SQH57sy5k1QcBVn3bN0WQ3/axJTIEIAABCEAAAhCAAAQgAAEIQAACEICAcwSQ386xpicIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBwiADy2yHQdAMBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALOEUB+O8eaniAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMAhAshvh0DTDQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDhHAPntHGt6ggAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAYcIIL8dAk03EIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4BwB5LdzrOkJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEHCKA/HYINN1AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAcwSQ386xpicIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBwiADy2yHQdAMBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALOEUB+O8eaniAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMAhAshvh0DTDQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDhHAPntHGt6ggAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAYcIIL8dAk03EIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4BwB5LdzrOkJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEHCKA/HYINN1AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAcwSQ386xpicIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBwiADy2yHQdAMBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALOEUB+O8eaniAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMAhAshvh0DTDQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDhHAPntHGt6ggAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAYcIIL8dAk03EIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4BwB5LdzrOkJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEHCKA/HYINN1AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAcwSQ386xpicIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBwiADy2yHQdAMBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALOEUB+O8eaniAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMAhAshvh0DTDQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDhHAPntHGt6ggAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAYcIIL8dAk03EIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4BwB5LdzrOkJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEHCKA/HYINN1AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAcwSQ386xpicIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBwiADy2yHQdAMBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALOEUB+O8eaniAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMAhAshvh0DTDQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDhHAPntHGt6ggAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAYcIIL8dAk03EIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4BwB5LdzrOkJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEHCKA/HYINN1AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAcwSQ386xpicIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBwiADy2yHQdAMBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALOEUB+O8eaniAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMAhAshvh0DTDQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDhHAPntHGt6ggAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAYcIIL8dAk03EIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4BwB5LdzrOkJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEHCKA/LYA9Oavmi2IQggdCexcUSh1ze3S1h7WMX1ytoDAwJ2KhdcAC0BqGqIgLygVpfnyZW2rpiMg7WwJlBXnSSAQkPqm9mxDcb+mBHaqKJSG5nZp5XcBTSuYfdq79y+WLduaJZJ9KCJoSCA/FJCqsgL5gt8FNKyeNSmXFeVJMBiQOn4XsAaohlH6lxdIU2untLR1apg9KWdDQPkALu8TQH5bUCPElwUQNQ2B/Na0cBamjfy2EKaGoZDfGhbN4pSR3xYD1TAc8lvDolmcMvLbYqCahUN+a1YwG9JFftsAVbOQyG/NCmZhushvC2HaGAr5bQFc5LcFEDUNgfzWtHAWpo38thCmhqGQ3xoWzeKUkd8WA9UwHPJbw6JZnDLy22KgmoVDfmtWMBvSRX7bAFWzkMhvzQpmYbrIbwth2hgK+W0BXOS3BRA1DYH81rRwFqaN/LYQpoahkN8aFs3ilJHfFgPVMBzyW8OiWZwy8ttioJqFQ35rVjAb0kV+2wBVs5DIb80KZmG6yG8LYdoYCvltAVzktwUQNQ2B/Na0cBamjfy2EKaGoZDfGhbN4pSR3xYD1TAc8lvDolmcMvLbYqCahUN+a1YwG9JFftsAVbOQyG/NCmZhushvC2HaGAr5bQFc5LcFEDUNgfzWtHAWpo38thCmhqGQ3xoWzeKUkd8WA9UwHPJbw6JZnDLy22KgmoVDfmtWMBvSRX7bAFWzkMhvzQpmYbrIbwth2hgK+W0BXOS3BRA1DYH81rRwFqaN/LYQpoahkN8aFs3ilJHfFgPVMBzyW8OiWZwy8ttioJqFQ35rVjAb0kV+2wBVs5DIb80KZmG6yG8LYdoYCvltAVzktwUQNQ2B/Na0cBamjfy2EKaGoZDfGhbN4pSR3xYD1TAc8lvDolmcMvLbYqCahUN+a1YwG9JFftsAVbOQyG/NCmZhul6V3y+/9o4sWfWIrFw4UfpVlls4YmdDba+tl3FTl8mksaPl6MMPyLhz5HfG6L6+EfltAUQzIcJhCTY0SKCpUQKN6s8m489gY+OOx9TjjcbXor6vHlffN9rHt1GPNUnAiNUkgZbmrt4jBQUSKSmRSElp3J+lElaPlcY/Fm1TslOltOQXSXuh+r76ryza1rg/oX1BgZlR0kYzAshvzQpmcbrIb4uBahgO+a1h0SxOGfltMVANwyG/NSyahSkjvy2EqWko5LemhbMwbeS3hTA1C+WW/G5uaZNZi9fKU89t6EbsxiljZNTIEeKm/H5s3Xp55MnnLRHvyG8PPSGQ3z2LEayp+VpINykh/bWsjonoYEOjSHOTBOrru39/h6yOvye4fbuHKp5ZKpHCIgnvtpt07ra7dA4cJB177y3hgXtI5557Gf917DNEIkXFmQXnLtcIIL9dQ++JjpHfniiDq0kgv13F74nOkd+eKIOrSSC/XcXveufIb9dL4HoCyG/XS+B6Ashv10vgWgJuyO/3N26WsVOWyMjvfluuGzu6a+xKFFfPXy2Tx58n27bXsfI7blaw8tuCp4jO8ltJ5ehK6ujK6K9XUUdXTsdWTYtaIZ0oqZuboiux41dh19RYQDR1iEiZWlldaqywNlZoqz9LSyWsVmUbK7N3/FlW/vX3S3Z8v7xCIkVFomKoe8M77o0Ul3R1GGhtkUBjU5SJGrNiogR9bOW4sdr86++VtLdIW129RAwOMV7d7zdi1NWZ4hKurJTOffaVzgG7S+cee0nnXlExrv7esedeEt55F1NxaOQcAeS3c6y92BPy24tVcTYn5LezvL3YG/Lbi1VxNifkt7O8vdYb8ttrFXE+H+S388y91iPy22sVcS4fp+V3bMX3gF37dxPfiSOOrfxW24VUL1gtn239ymhy3/Kp3bYPiYn02Pcv/fHIrrixVdeXnHua3Purp+WNtz8wYqjV5YcdtJ8h4JPFVSu/N7zylsyZPEaKi6I7ICT2c8jQIcbKcHWpbU1isdXXyXJg2xPn5nTKntKR30quSlu7BNrbJNDeLtKm/myTQFu7SEe7BNraRNTXHZ0iba3G112PtXcYbWP3SNzXXcm1t4laUR0vpAPNzRJsqO8uqWtrbSUXKS/vJqnDSjwXF0cFdV+SWolro22ZhHdsJWKI7jhJbWvyaQRPZ89v9eZBaOsWCX2+RUIffyyhTzdJ6KMPJbT5Ewlt3Ch5H0VfSHq71Mrwzj3UavHB0rHHnhIevI90DtrDWDXeftDBnmTU15h0/z7yW/cKZpc/8js7fn64G/nthypmNwbkd3b8/HA38tsPVcx8DMjvzNn55U7kt18qmfk4kN+Zs9P9Tqfld0wiL6i+vNc9sJX8vnjCQjn9pOFdEjpxOxIV64YFq+Wm6stl38EDJVGsx+S3qlFs7/BY3Ji8VvuJJ26xkii/k+X8zPMvyX777CH9q8rl3od/L+MuOssQ5bE+R59xgrF9C9ueeOUZcsIJ0lbfGJXUSkwnCOqo4G4XQ3p78DIktbECesdq6DjxHCmLrqRWq6oltkra2NM6bnV1MkmdQ1t3pCO/zZQ/tOUzCX2ySUKbNkrepk0S3LRRQps+ltAnHxtfqzc1ers6vvFNaT/4MGk/4khpO+IoaT/sW6K2W+GyjwDy2z62OkRGfutQJXtzRH7by1eH6MhvHapkb47Ib3v5ej068tvrFbI/P+S3/Yy93gPy2+sVsi8/p+W3Es1qJfeqRZMMYZ3qSrbnd6LsXrrqEdl7zwGGZI5d8fepxxIPm0wmoxMfS5Tfqh91xW/R0ltF1P0fbdpitEd+2zd304scCKTXXiQqmgvFhkNGAAAgAElEQVTyRfLyxThgMb9AJD8v+ueOr9XjsceMvxtt80XyC4x7uu7d8VhXEvn5XSuro1uBfC22YyI7+lgJUjTtyvW8wWr53VdKwW3bdojwqBAPfrZZQh9+IPnv/Ufy/v1O0tvbDz7UkODqP0OIH35EX93w/TQIIL/TgOXDpshvHxY1zSEhv9ME5sPmyG8fFjXNISG/0wTms+bIb58VNIPhIL8zgOazW5DfPitoGsPRVX4P3G3npAdmqqEnbkkSv+VIuvJbxVMHc55zxgkpV6onbomi7omtWG9pbe0h4NMoT1dT9vzOhFr8PevXy5fNkaiQVuLZkNM7JHV+TFbnsx1Ftpw9er/T8rs3DIGWZsl/459S8I+XJP//vSr5/+8Vyfvw/aS3tB01TNqOHCYdSoh/60jp2P8bHiXs/bSQ396vkZ0ZIr/tpKtHbOS3HnWyM0vkt5109YiN/NajTnZlify2i6w+cZHf+tTKrkyR33aR9X5cp+V3OtueLFn1SNd2JYpk/MrvmPwefuSB3VZ+xxM3I7pV+95Wfvclv9Uq7xmL1nbbizx+5Tjy20PPgXT2/PZQ2qRiAQEvye9kw1H7jBe88rIUvPaK5L/6D0OIhz7b3KNpuKKia2V4x7eOMoS42kucq28CyO++Gfm5BfLbz9U1NzbktzlOfm6F/PZzdc2NDfltjpNfWyG//VpZ8+NCfptn5deWyG+/VrbvcTktv/s68DK2l/a27XXSm/xWW6b0tR2JFfJb7ePdWz/Jtl5Bfvc971xpgfx2BbsnOvW6/E4GKfjlF9HV4f94SQr++arxdyXJE6/OPfeSlpO+J63f+760jjhB1GGbXD0JIL9ze1Ygv3O7/mr0yG/mAPKbOYD8zu05gPzO7fobvwsU5UkwGJC6pnZg5CgB5HeOFl5EnJbfinRs9ffI73672z7aSiSv++Pfjf3Azcjv2OGVN04Z07X6Wwnv2AGUyVZdmxHiiXt+x/q5b/nUrq1PYpL+N0+/KFs+39Z1KGdsbEccvL/xGCu/PfTcQn57qBgOp6Kj/E6GKO+D94wtU/Jf+rsUvPaq5L/2ao9DWltOOU1azjxbWk45VcI77ewwae92h/z2bm2cyAz57QRlb/eB/PZ2fZzIDvntBGVv94H89nZ97M4O+W03Ye/HR357v0Z2Z4j8tpuwd+O7Ib8VjdgK8Kee29AFJ7ZXd7/KcjFz4GW8SP9s61ddcWIy3IzoVjf1deClahMT4LFOYrkWFRZ223tc7fV96IH7yutvvY/89tq0R357rSLO5eMX+Z2MWOGfnpPCZ5+W4qefktDHH3VrovYMbz11pCghrg7UzOUL+Z3L1RdBfud2/dXokd/MAeQ3cwD5ndtzAPmd2/U3fhdg5XfOTwLkd+5OAbfkd+4Sz2zkHHiZGbdudyG/LYCoaQg/y+/4kuS//ZYUPfOUFP7+d1Lw6j9EIpGub3futbc0n3a6tH7/B9J6zLEieXmaVjOztJHfmXHzy13Ib79UMvNxIL8zZ+eXO5Hffqlk5uNAfmfOzg93Ir/9UMXsxoD8zo6fH+5GfvuhipmNAfmdGTen70J+W0Ac+W0BRE1D5Ir8ji9P8Ksvpejpp6Tod7+Romef7la5SFmZtKgV4d//gbScdKpEyss1raz5tJHf5ln5sSXy249VTW9MyO/0ePmxNfLbj1VNb0xWy++899+V0GefSeiTjyW0+VMJbvlMglu3SLCmRiQvJJFQXnSxQV5e198jeaHo13n50e+F1N9Vm1D0z/wCifTrJ5277iadA3aXzoGDRC1g4MqeAPI7e4a6R0B+617B7PNHfmfPUNcIyG89Kof8FjFOHl3zy3VdFYvfhD222Xr8/jfx++iom5Dfekx2O7LMRfkdzzHQ0ixqe5Si3/9Oip7+nQS3beuGWR2UqQ7MbD79h9K552A7SuB6TOS36yVwNQHkt6v4PdE58tsTZXA1CeS3q/g90Xk68jtv44eG0A598klUbH+6SUKffhL9b/MnPX6XsnuAhgzfa7B07jZAOgfuIeE99pTOQYOkc9CeUUE+aA+7U9A+PvJb+xJmPQDkd9YItQ+A/Na+hBkPAPmdMTpHb8x5+R1/kmlxUYFxauoNC1bLTdWXy76DB/b4Oll1kN+OzllPdZbr8juxGAUvb5DCZ9ZJ0TPrRG2VEn+1H3SINP/oPGk+9yfGqiO/XMhvv1Qys3EgvzPj5qe7kN9+qmZmY0F+Z8bNT3fFy+9AQ4MUvKwOEH9Fgps+ltDnWyX4+VbJ2/SxBL/43NSwO5WA3mMv6dx9oHTstZdIQaGp+3ptFIlIcNtXxgrykPpP5bZ1i6m4hgTfkU/nXntJ5777S9vBh0r74UeYut/vjZDffq9w3+NDfvfNyO8tkN9+r3Dq8SG/9ah9zsvvxDIlnlKaKMOR33pMbKeyRH6nJq1WNhX97rdS+OzvpfDF9d0atow8Q5p+OkZaTj7VqVLZ1g/y2za0WgRGfmtRJluTRH7bileL4MhvLcpkW5J57/5Hdv33a9L4579IwYa/Sv7b/+q1L2OF9Z5Rsa1WXIfVFiSD9vh6pfXuA23LNVng0KaNXSvR8z79JLoS/ZNNUUH+8Ud9rkRvG3aMtH7nWGk7doS0HT1c1BZ4uXYhv3Ot4j3Hi/xmDiC/c3cOIL/1qD3yO6FOL7/2jlQvWC2rFk3qWvk9dsoSiW17krjlibr9i5oWPapNlpYTqCorkMaWDmnvCFse2/KAAcsjmg4YqKuLHpb59DopeO5ZUV+rKzxoD2m56BJpvvhSCWu6GnyXyiL5ojaHXwMiAQm4OLdMT0KbGuaHglJanCc1DW029UBYrxMoLgxJIBCQppYOr6dKfjYRqCwtkKZWTX4XsIlBroQNtLZI3j9elvyX/y55G/4m+X//qwS2b+8x/I4DD5b24d+R8P7fkPBuu0l44CDjPyW7dbxC770rwc82G6vFg0qMv/6a5L3+Twl9vLHn2A87XNqPPV46jjlO2o4bYewz7vcrLxSQsuL8nPxdIBIRkYD6v9y+SgryjN+HG1v5XcCzM8HmaVpRmi8tbWFpa+/0LAISs4fALlVF9gQmqqUEkN87cMbv7R2/53cibbU/+JbPt8mcyWNEbZOirjYdxKel04ZgMQJ5wYB0RiJi/OLn9csrOba3S/DxxyS4epUE//znKLW8PAmPPF3CV4yV8CnfE51sakF+UNraNXjzw6b52RkOSygUtCm698Oqf+iEggHp6PTKE8z7zPyWoaq/ujrDzAG/1dbMeFTdC/ODEg5HhClghphebQKfbJLA3/5m/Bf8218l8M9/irS3dx9ERYXI8OHSOfwYiRzzHQl/+9siOXDgt4IQ+OILCfz5eQmsXy/BF9ZL4F//ksRfiiNDD5TwccdJZMQIiZxwokQGDNBrEpjIVv0UUAK8PQd/F+jsDEsomLu/B8amh0Kg3gjvzME5YOIp4o0mNi/WUV4gHOF3AW8U29ks1CeBubxPAPmdUKPEbU8SS6gk+eIVD8uCaZdLv8py49vs+e39iW5Xhmx7kh3ZvPfeldJ7VkrxI7+Q4I7V4OqjwE0XXiJNF1ysxd7gbHuS3RzQ/W62PdG9gtnnz7Yn2TPUPQLbnuhewe75Fz33f1L47NNS+If/k7yPPugxuI4h+0nbUUdL+7BjpG3YcGk/8GBJ58BLf9HqPhr1u1zB316UghfXS8Hf/yoFr/4jOb+jh0nbd46X1hEnGlvA6H6x7YnuFcw+f7Y9yZ6h7hHY9kT3CmaeP9ueZM7OyTuR30loq9Xde+85QEaNHNHju8hvJ6en9/tCfltXo5Jf/UJKHrhXCjb8pSto8w9HSfMFF0nLd0+xriOLIyG/LQaqWTjkt2YFsyFd5LcNUDULifzWrGAJ6aqtTIqefUYKn/qNFP/+d6IOrIy/2oYfK63fHi7tRw4T9fdw//49Boz8Tj4HAs1NUvi3v0j+hr9K4V9f7PY7XuyOjm98U1pOPk1azjjT2DNcxwv5rWPVrM0Z+W0tTx2jIb91rJo1OSO/reFod5Scl99KZj/3wityxQVnGKxj258sqL5cjj78AHnm+Zdkv332MPb/VpcS4+q6buzortqw8tvuaerd+Mhv62ujDo4qXbNKSn71oATq640O1B6ZaiV444WXSHiXXa3vNIuIyO8s4PngVuS3D4qY5RCQ31kC9MHtyG/9iqh+vyh+Zp0UPvm4FKmzSFqauwahDqRs+cGZ0nrKadKq9qwuKu5zgMjvPhF1NVCHoBurw1/4sxT+9YVuN3busac0//ePpOWHo6TtW0eaD+pyS+S3ywXwQPfIbw8UweUUkN8uF8DF7pHf3eHHdtPYa+Cu3baLdrFERtc5L7+bW9pk1uK18tRzG7pqEb/ntzoA8+IJC7u+d/pJw3sUEPnt9jR2r3/kt73sS37x8+hq8Jf/3tVR83+fI00/+am0nniSvZ2bjI78NgnKp82Q3z4tbBrDQn6nAcunTZHfehQ2uH27FD/1Gyl88glRW5vEX52D9hD1aTNj9fGwY9IeEPI7bWTRf4jW10vRn541DkUvfvI33d+EGLSHNJ3zY2k562xpP/jQzDpw6C7kt0OgPdwN8tvDxXEoNeS3Q6A92A3yu3tRlEN99Mnnpa6hSSaPP69rIbHbpct5+W1FAZDfVlDUMwby25m6qb3BS9beLaUP3S+BxujHkdXqoKZLrpCmH1/g6t7gyG9n5oBXe0F+e7UyzuWF/HaOtVd7Qn57tTIioc+3SpGS3U8+LmrFcfzVsc++0nzmKGOVd/vhR2Q1COR3VviiIry1xRDghb97wtiGRn0duzoG7yPN55wnLWeeLe1DD8y+M4sjIL8tBqphOOS3hkWzOGXkt8VANQqH/O5eLLVbxvHfPlRe+PvrKbeTdqO8yG8LqCO/LYCoaQjkt7OFUx9LLn7i11Jy72opeOXlrs5bTjlNGq8YL60nnuxsQiKC/HYcuac6RH57qhyuJIP8dgW7pzpFfnuqHBLa/KkUP/aoFD31m26fHFNZqhXESna3jDzDOKjSqgv5bRXJaJxAU6MUr/udFD3+qBQ9s65b8I5vHiDqU4Bqe5SOffe3tuMMoyG/MwTno9uQ3z4qZoZDQX5nCM4Ht7kmv7/6SuSNN5wnuNNOIocckrRfteXJgtsekuprz5f3PvzUWAE+Z/IYKS4qcD7PhB6R3xaUAPltAURNQyC/3Stc/puvS9ktC6T4d7/pSqLtqGFSf/10RyU48tu9OeCFnpHfXqiCuzkgv93l74Xekd9eqIJI8RP/KyUP/VwK//SHbgm1HXGUtP7gLGn+4VnSsfcQW5JFftuCNSrC1f7sT/1Wih57RIr++Gy3jow3M846W5rOPV86d4+ez+TGhfx2g7q3+kR+e6sebmSD/HaDujf6dE1+P/mkyA9/6DyEM84Q+e1vk/artjxRK77VGYmxvb8njR1tnKfo9oX8tqACyG8LIGoaAvntfuHUlijlN8+T4scf7Uqm/bBvSf0Ns6Xlu6fYniDy23bEnu4A+e3p8jiSHPLbEcye7gT57V55lBgtvX+NlK68TUJbt3Qlot4MV1JU7ePdOXCQ7Qkiv21HbHQQrKsz3uQoeuJ/pXD98906bVQHo/9skqjtbJy+kN9OE/def8hv79XE6YyQ304T905/rsnvv/5V5IYbnAdxzDEi8+f36Dd2nuI5Z5zQJbvVFijqUjLc7Qv5bUEFkN8WQNQ0BPLbO4XLe/9dKV90kxT/OvoCqy61h2d99UxpOel7tiWK/LYNrRaBkd9alMnWJJHftuLVIjjy2/kyhTZ9LGV3LpeSXzxgbJGhrkhZmTReOEaaLrxEOr7xTUeTQn47itvozDjA9HdPSPEvHpCClzd0JdBy2unSeNXPpPWY4xxLCvntGGrPdoT89mxpHEsM+e0Yas915Jr89hiJ9zdulrFTlshnW7/qltkhQ4fIyoUTpV9luasZI78twI/8tgCipiGQ394rXOjjj6R88QIp+eUDXcnZKcGR396bA05mhPx2krY3+0J+e7MuTmaF/HaOdsGr/5DS25Z02/KsY8h+huxsOvcnEikqdi6ZuJ6Q365g7+o0793/SMkD90rpA2uNbVLU1X7o4dJw9QRpHmX/ajPkt7v190LvyG8vVMHdHJDf7vJ3s3fkd5T+Y+vWy4ZX3uq2x3ey1eBu1Qr5bQF55LcFEDUNgfz2buHUx5/Lli2Skgfuk0Bri5Fo27eOlIYpN4g6INOqC/ltFUk94yC/9ayblVkjv62kqWcs5LfNdQuHjT2fS1fc2u0Ay9b/OlEar7xGWk4+VSQQsDmJ3sMjv13F39V5oLnJ+DRA6ao7Je+D94zH1V7gTZeNk8ZLLpdwRYUtiSK/bcGqVVDkt1blsiVZ5LctWLUIivwWiUnu4UceKKNGjuhWNyXFP9q0xfWtT5DfFjydkN8WQNQ0BPLb+4ULfvWllN22RErvvafro9HGnuBKgp86MusBIL+zRqh1AOS31uWzJHnktyUYtQ6C/LanfEpklj54n5TcdafkbfzQ6ESt7G760bnSePVE6dhvf3s6ziAq8jsDaHbeEolI0TPrpHTFbVL41xeic6ekVJrOO18ax11j+b7gyG87i6lHbOS3HnWyM0vkt510vR0b+e3t+sSyQ35bUCfktwUQNQ2B/NancGpvSLVqrHTNXcaBSepSH4mtnzxNWr7/g4wHgvzOGJ0vbkR++6KMWQ0C+Z0VPl/cjPy2toyhLZ9Jyd13GgdZBmtrjeCdA3aXpsuulMaLLpNwv37WdmhBNOS3BRBtCpH/9r+iW+U88WsJtLcbnxJo+d73pXHctdJ6XPfVaZmmgPzOlJx/7kN++6eWmY4E+Z0pOf3vQ37rUUPktwV1Qn5bAFHTEMhv/QqnxHfp6hVSetftxmFJhgQ/5LCoBB95RtoDQn6njcxXNyC/fVXOjAaD/M4Im69uQn5bU84eknLHdmVqa5PmM0eJ5OVZ05ENUZDfNkC1OGTo861fv6kS+/3v4EMNCd486hyJ5Odn3CPyO2N0vrkR+e2bUmY8EOR3xui0vxH5rUcJkd8W1An5bQFETUMgvzUtnIixBUrp2tVSdudyCX7xeVSCH3SINEyeJs0/ONP0wJDfplH5siHy25dlTWtQyO+0cPmyMfI7i7Kq7Sn+8IyU3rlcCl9cHw2UlyfNp58pjVdeLW1HfzuL4M7divx2jnW2PQVamqXklw9K6V13SN777xrhOncbEP1kwSVXSLiqKu0ukN9pI/PdDchv35U07QEhv9NG5psbkN96lBL5bUGdkN8WQNQ0BPJb08LFpa0Owyx56OdStvRmUR+1NiT40IOkvnqmqZXgyG/950A2I0B+Z0PPH/civ/1Rx2xGgfzOjF7JQ/dL2e1LJe+9qICMlJVJ408uksarJ0jnwEGZBXXpLuS3S+Cz7Lbo/35vbIkXe+MlUlgkTef+xFgN3rH/N0xHR36bRuXbhshv35bW9MCQ36ZR+a4h8luPkiK/LagT8tsCiJqGQH5rWrgUaZf+fK2ULV8soY83Gi3ajhomtYtvNbZFSXUhv/01B9IdDfI7XWL+a4/89l9N0x0R8ts8sUBDg7GXt5LewS+/MG5UB1c2XjVBms45zzjQUscL+a1j1b7OOf+tN6X09qVS8ujDXQ+q82Dq/6da1CHpfV3I774I+f/7yG//17ivESK/+yLk3+8jv/Woravye3ttvYybukzeePuDHrQOGTpEVi6cKP0qyz1PEvnt+RLZliDy2za0rgYu+eUDUj5vloS2bjHyaPrxhVI/Y6507rpbj7yQ366WyvXOkd+ul8D1BJDfrpfA9QSQ332XQG01UXbXnVJ6x1IJ1tQYN7Qe/1+G9G45+dS+A3i8BfLb4wUymV50X/AVUrZ6pQQaG4y7Wr57ivE7YG8LIZDfJgH7uBny28fFNTk05LdJUD5shvzWo6iuyu+lqx4xKF03drQetFJkifzWunxZJY/8zgqfp28ONDdJ2dJFUr5skZFnpLhEGq6bIvUTp3TLG/nt6TLanhzy23bEnu8A+e35EtmeIPK7d8Sl966WssXzRYlFQyaedro0TJhsfLrKLxfy2y+VjI7DOBz9npVSescy4+/qaj7rR1I/fbZ07D2kx2CR3/6qfyajQX5nQs1f9yC//VXPdEaD/E6HlnttXZPfatV39fzVMnn8ebLv4IHuEbCgZ+S3BRA1DYH81rRwaaSdt/FDqbhhihQ9/ZRxV+deg6Vu1jxpPvNs42vkdxowfdgU+e3DoqY5JOR3msB82Bz5naSokYgUP/G/Un7THMn7KPoJz7Yjj5a6GxdK27BjfDcLkN++K6kxoEB9vZTdeouUrbpT1KIIdRhr4wUXS/310yW8y65dg0Z++7P+6YwK+Z0OLX+2RX77s65mRoX8NkPJ/TbIbwtqgPy2AKKmIZDfmhYug7QL//qCVEyZIPnvvB39R/ywY6R28XLZZcQw4TUgA6A+uQX57ZNCZjEM5HcW8HxyK/K7eyGL/vislN84U/Lf+KfxjfahB0r99LnScupIn1S85zCQ374trTGw4BefS/nN86T0wftEOjqinwYcO14afjZZIuXlgvz2d/3NjA75bYaSv9sgv/1d395Gh/zWo/auyW+FR217sveeA2TUyBF60EqRJeJL6/JllTzyOyt8+t0cDos6FLN8/hwJbvtKJBAQuegi2TJ1joR33kW/8ZBx1gSQ31kj1D4A8lv7EmY9AOR3FGH+a69KxcxqUW8Wq6tzz72kfupM4yBLCQaz5uzlAMhvL1fHutzUpxjK582W4t/8WiQSkXBVlTRMmCJtV46Typ0q5IvaVus6I5JWBJDfWpXLlmSR37Zg1SIo8luLMomr8vv9jZvlocf+IJPHnSfFRQV6EEuSJfJb29JlnTjyO2uEWgYINDREVwDds1IC7e0SKS2Thgn/Iw1X/UwiBYVajomkMyOA/M6Mm5/uQn77qZqZjSXX5Xfe++9K+dwZUvzUbw2A4f47ScOk66XxkiskUqDv7/fpzAbkdzq09G+b/+brUjF7mhQ+/8fonN99oERmz5atZ/1YJBTSf4CMIG0CyO+0kfnuBuS370pqekDIb9OoXG3omvxWe36Pm7pM3ng7ug9g4nXI0CGycuFE6VdZ7iogM50jv81Q8mcb5Lc/62p2VGo/8F3nVIv8NvoPfrXKrW72TV37gZuNQzt9CSC/9a2dVZkjv60iqW+cXJXfoU8/Md4ILvnVQyKdndE3gsddIw1XT5RIWZm+Bc0gc+R3BtB8cIuxJd7MauNTD+rq2G9/qb9hjjSfcZYPRscQ0iGA/E6Hlj/bIr/9WVczo0J+m6HkfhvX5Lf7Q7cuA+S3dSx1i4T81q1i1uerfth99eT/9dwPfMEt0n7Yt6zvkIieIoD89lQ5XEkG+e0Kdk91mmvyO7htm5QtXyyla1ZJoLXFWN3d9NNLpX5ytYR32tlTtXEqGeS3U6S92U/ZU08Y26EE3v2PkWD74UdI3dwF0vqd472ZMFlZTgD5bTlS7QIiv7UrmWUJI78tQ2lrIOS3BXiR3xZA1DQE8lvTwlmYtvphZ7wGqP3A718j5Qvmdu0H3nTuT6R+xo3SudsAC3sklJcIIL+9VA13ckF+u8PdS73mivwONDVK2V13SNntSyVQX2/s49006hypv2G2dO452EslcTwX5LfjyD3VoXHgZXFImlaulrKb50loy2dGfq0nniR1s26S9oMP9VS+JGM9AeS39Ux1i4j81q1i1uWL/LaOpZ2RXJffL7/2jlw8YWG3Md63fKocffgBdo7b0tjIb0txahUM+a1VuWxJtkt+74gerKuTssXzv94PvKRUGiZOlobx10qksMiWHAjqHgHkt3vsvdIz8tsrlXAvD7/Lb3W2RYk67PmWBRL84nMDdMvJp0q9knpDD3QPvId6Rn57qBgupGLI77IC48BL9WmIslUrpPTWxRKsrTUOR28+82ypnz5bOvYe4kJ2dOkEAeS3E5S93Qfy29v1sTM75LeddK2L7ar8VuJ7yapHuu3trQ7BHDtliYy/6EwZNXKEdSO1MRLy20a4Hg+N/PZ4gRxIL1F+x7rM++A9qZgxVYqeWWc8ZOwHPmueNJ/1IweyogunCCC/nSLt3X6Q396tjVOZ+VZ+RyJS/NijUj5/jqgzLtTVduTRUnfjQmkbdoxTeLXoB/mtRZlsSzJefsc6CdbUSOltt0jZ3Ssl0NIskpcnjRdcLPXXT5fwLrvalguB3SGA/HaHu5d6RX57qRrO5oL8dpZ3pr25Jr+bW9pk1uK1cs4ZJ/RY5a2k+KNPPi9zJo+R4iLvnxKP/M50+ul/H/Jb/xpmO4JU8jsWt/DPf5LK6ydI3nvvRsXBsGOklv3As8XumfuR354phWuJIL9dQ++Zjv0ov42D/KZNlvw3Xzc4d+z/DambcaO0jDzDM9y9lAjy20vVcD6XZPI7loXaAqVs4Y1S+uB9xkPqU4Dq04AN102RSHGJ88nSoy0EkN+2YNUqKPJbq3JZmizy21KctgVzTX5vr62X6vmrZfL482TfwQO7DVCt/l684mFZMO1y6VdZbtvgrQqM/LaKpH5xkN/61czqjPuS37H+StfeLeUL1X7g24yHjP3AZ85jP3CrC+JwPOS3w8A92B3y24NFcTglP8nv0CebjE8tFT/5uEGxc9AeUl89U5rOu8Bhqnp1h/zWq15WZ9ub/I71lff+u1I+b5YUP/lE9Lk1YHepm7NAms8ebXU6xHOBAPLbBege6xL57bGCOJgO8ttB2Fl05Zr8ZuV3FlXjVs8QQH57phSuJWJWfqsEjf3Ab54nZavuMPKNFBVLw+RpUv+zSa7lT8fZEUB+Z8fPD3cjv/1QxezG4Bf5XXrPSqmYM0MCzU0GkPrrrpeGSddzXoWJ6YH8NgHJx03MyO/Y8As2/EUqp07q+lRF67EjpHbp7dKx7/4+JuT/oSG//V/jvkpvLyoAACAASURBVEaI/O6LkH+/j/zWo7auyW+F57F16+WRJ59nz2895gpZJiGA/GZapCO/Y7QS9wNv+9aRUrNijfGxci69CCC/9aqXHdkiv+2gqldM3eV33rv/kaprx0rBy383wKvDLGuX3iGdAwfpVQgXs0V+uwjfA12nI79j6Zbeu1rK582MHoqp3mxSiyGun+6B0ZBCJgSQ35lQ89c9yG9/1TOd0SC/06HlXltX5bcattrf++IJC7sRuG/51B77gLuHqO+e2fakb0Z+bYH89mtlzY8rE/kdi174p+ekcsoEyfvw/eg/fKbPkfoJk813TkvXCSC/XS+B6wkgv10vgesJ6Cy/y29ZIOULbzQYhisrpW7BUmka/WPXmeqWAPJbt4pZm28m8ltlEPzyC6mYcb2UPPqwkVDHPvsabzy1Hv9f1iZINNsJIL9tR+z5DpDfni+RbQkiv21Da2lg1+W3paNxKRjy2yXwHugW+e2BIricQjbyO5Z62crbpHz+XOOj5u0HHSI1d66W9oMPdXlkdG+GAPLbDCV/t0F++7u+Zkano/zOf+1VqbrmCsl/+y1jiM0/HCW1i5dLeKedzQyZNgkEkN+5PSUyld8xaoXrn5fKiVdJ3sYPo8/H/z7HOBw9vPMuuQ1Wo9EjvzUqlk2pIr9tAqtBWOS3BkUSEeS3BXVCflsAUdMQyG9NC2dh2lbIb5VOaPOnUjX+Uil8cb1IXp7UX/Uzabh+ukQKCi3MllBWE0B+W01Uv3jIb/1qZnXGOsnvQEuz8WarcfZEZ6dx6HLNHaul9cSTrMaSU/GQ3zlV7h6DzVZ+q4CBtlYpu2WhlN2xTAJtbRKuqjIORm+88BKRQCC3AWsweuS3BkWyOUXkt82APRwe+e3h4sSlhvy2oE7IbwsgahoC+a1p4SxM2yr5HUup5OGHpGLGFAlu3y4dg/eRmlX3SttRwyzMmFBWEkB+W0lTz1jIbz3rZmXWushvddBev3GXSmjTx4ZMa/zpGKmbs0AiZWVW4sjJWMjvnCx716CtkN+xYHkffSBV4y6Tgpc3GA+1HXGU1Nx+t3R884Dchuzx0SO/PV4gB9JDfjsA2aNdIL89WpiEtByX39tr62Xc1GVyybmnyb2/elreePuDpKQOGTqk20GYXsaJ/PZydezNDfltL18dolstv9WYg9u+ksr/+ZkU//axqKC4+DKpm3UTgsKDEwL57cGiOJwS8tth4B7szuvyO1hXJ+Uzp0rpg/cZ9Iw3Vu+8W9qGH+tBmnqmhPzWs25WZW2l/I7lVPLwg1Ixs9r4nVB9IrBh3DVSP3WGRAqLrEqbOBYSQH5bCFPTUMhvTQtnQdrIbwsgOhDCcfkdG5OS4NXzV8vk8efJvoMHdhuqOgTz0SeflzmTx0hxUYEDGLLrAvmdHT+d70Z+61w9a3K3Q37HMit69mmpumascSASH023pl5WR0F+W01Uv3jIb/1qZnXGXpbf8T9HJBSShvHXSn31TLbUsngSIL8tBqpZODvkt0IQrK2ViulTRIlwiUSkc9AeUrN8hbSeeLJmhPyfLvLb/zXua4TI774I+ff7yG89autJ+f3+xs2yeMXDsmDa5dKvstzzJJHfni+RbQkiv21Dq01gO+W38Q+fhBV7zWePltoFSyTcfydtGPk5UeS3n6trbmzIb3Oc/NzKi/JbvWlaOWVi9BNEItI+9CCpWbmGw5RtmojIb5vAahLWLvkdG77aAkUthsh7713joeYzzpK6m5dJ5667aULI/2kiv/1f475GiPzui5B/v4/81qO2npTfj61bLxteeYuV33rMoZzOEvmd0+U3Bm+3/O76h0/cXq1KfCsBrkQ4l7sEkN/u8vdC78hvL1TB3Ry8Jr/jz45QhyY3TJkm9ddcJ2rlN5c9BJDf9nDVJard8tvg0NEh5bcvNQ7FDLS2GFvh1d8wWxouvVIkGNQFlW/zRH77trSmB4b8No3Kdw2R33qU1HH5rVZ1j52yRD7b+lVKQrvvtpOsWjSpx3YoXkXKym+vVsb+vJDf9jP2eg9OyW/FIdDSLOXz50rZqjtEOjul9cSTpOaO1caWKFzuEEB+u8PdS70iv71UDXdy8Yr8Dm3+VKrGXyqFL643QKjDkmtW3CMdQ/ZzB0wO9Yr8zqFiJxmqI/J7R7+hTRul6torpfCFPxuPtB94sNTctdb4k8s9Ashv99h7pWfkt1cq4XweyG/nmWfSo+PyO5Zkb3t+ZzIQN+9BfrtJ392+kd/u8vdC707K79h48998XfpdcZHk/effxsofdRimOhRTHY7J5SwB5LezvL3YG/Lbi1VxNifX5XckImX3rJTyG2dJoKlRIqVlUjfzRmkccwU/FxyaCshvh0B7tBsn5XcMQfHjj0rFDVMk9PlWY+W3WgFeP3228fzncp4A8tt55l7rEfnttYo4lw/y2znW2fTkmvzOJmmv3Yv89lpFnMsH+e0ca6/25Ib8ViwC7e1SdustUrb0Zgm0tUVX+K26VzoG7+NVVL7MC/nty7KmNSjkd1q4fNnYTfmd98F70u+KiyX/tVcNtsYngm69SzoHDvIla68OCvnt1co4k5cb8tv4XbC+XirmTpfS+9eIhMPSOWB3qVtwizSf8d/ODJxeugggv5kMyO/cnQPIbz1qj/y2oE7IbwsgahoC+a1p4SxM2y35HRtCvPiIFBZJw5QbpP7qCeztamGNewuF/HYItIe7QX57uDgOpeaG/DbeAL1tiZQtWWi8ARru31/qbrpFms45z6FR0008AeR3bs8Ht+R3jHr+669Jv3FjJO/f7+x4E+xkqVm+QjoH7ZHbhXFw9MhvB2F7tCvkt0cL40BayG8HIFvQhavyu7f9vw8ZOkRWLpwo/SrLLRimvSGQ3/by9XJ05LeXq+NMbm7Lb2OU6iPvq1dI+bzZxkfe24ceJDV332f8yWUvAeS3vXx1iI781qFK9ubotPyO3/pKjaz5rB9J7aJlog5D5nKHAPLbHe5e6dVt+W1w6OyUsrvukPKb50W3PyoukYbJ06T+qp+xIMKBiYL8dgCyx7tAfnu8QDamh/y2Ea6FoV2T380tbTJr8VoZfuSBcthB+8lDj/1BJo87T4qLCmTpqkfk+G8fKkcffoCFQ7UvFPLbPrZej4z89nqF7M/PE/J7xzBDn2ySqmuu6DoEqX7C/0j99Ln2Q8jhHpDfOVz8HUNHfjMHnJLfxqHHC+ZK2Z23Rl3XgN2ldvkKaTn5VIrgMgHkt8sFcLl7T8jv2O+Cn34ilZOukaI/PGM80n7AUKm99S5pO/Jolyn5u3vkt7/ra2Z0yG8zlPzZBvmtR11dk9/xB14qVItXPCwLpl1urPR++bV35NEnn5c5k8cYMtzrF/Lb6xWyLz/kt31sdYnsJfkdY1by8INSMX2KBGtqjD3A1V7gak9wLusJIL+tZ6pbROS3bhWzPl8n5HfBhr9Iv3GXSmjTx8Yhlo0XXiJ1cxcahx5zuU8A+e1+DdzMwEvyO8ah+KnfSkX1JAlt/jR6IOa4a6T+hjkSKfD+v63drGWmfSO/MyXnn/uQ3/6pZbojQX6nS8yd9p6Q3/2rymXBbQ9J9bXnG/JbbYcSL8PdQWO+V+S3eVZ+a4n89ltF0x+PF+W3GkXwyy+kcspEKf7tY8agGi+5XOpm3YQoSb/Evd6B/LYYqIbhkN8aFs3ilO2U38G6OimfOVVKH7zPyLpzr72l5o5V0vqd4y0eBeGyIYD8zoae/vd6UX4rqoHmJqmYM11K77nLgNyx7/5Ss+IeVoHbMOWQ3zZA1Swk8luzglmYLvLbQpg2hnJNfsdvezJq5Ahjq5O99xwg6u+PrVsvG155i5XfNhae0NYQQH5bw1HnKF6V3zGmRc8+LVXXjDVkeOduA6TmjtXSeuJJOiP3VO7Ib0+Vw5VkkN+uYPdUp3bJ7/jXbwmFois3p82SSEGhp8ZPMiLI79yeBV6V37GqFLz0N+k35gIJbfksugp87NVSf8MsiRQV53bhLBw98ttCmJqGQn5rWjgL0kZ+WwDRgRCuye/EsaltUMZNXSZvvP2B7L7bTrJq0STZd/BABxBk3wUrv7NnqGsE5LeulbMub6/LbzXSYG2tlM+q7lo52PSjc6Vu4TIJV1VZByJHIyG/c7TwccNGfjMHrJbfiZ/caR96oPHGZfth3wK2Rwkgvz1aGIfS8rr8VhgC9fVSMXe6lN672qCitsWrVZ8iOeY4hyj5uxvkt7/ra2Z0yG8zlPzZBvmtR109I7/1wJU8S+S3ztXLLnfkd3b8/HC3DvI7xjl+z9hw/52kdsESaT57tB/K4NoYkN+uofdMx8hvz5TCtUSslN8lDz8kFTOmSHD7dmOFd8Pkaqm/dpKold9c3iWA/PZubZzITAf5nex3QeP8gIsvk7o58yVSUuoEKt/2gfz2bWlNDwz5bRqV7xoiv/UoqWvyO/7AS11WeKcqKfJbj8luR5bIbzuo6hVTJ/mtyAZamqV83mwpu/tOkXDY2AJFrShUW6JwpU8A+Z0+M7/dgfz2W0XTH48V8lsdSlc1/lIpfHG9kYA6pFjtzdsxZL/0E+IOxwkgvx1H7qkOdZLfyX4X7Bw4SGpWrJHW40Z4iqtOySC/daqWPbkiv+3hqkNU5LcOVRJBfltQJ+S3BRA1DYH81rRwFqatm/yODb3g1X9I1VWXSd67/zEOwVSHYapDMbnSI4D8To+XH1sjv/1Y1fTGlK38Lrvrdim/aY5xOF2kuETqZs2TxsuuTC8JWrtKAPntKn7XO9dNfnf9LvjKy1J15RjJ+/B946Gm886XuvlLJFxR4TpT3RJAfutWMevzRX5bz1SXiMhvPSrlmvxWeNQhl8d/+1A5+vAD9KCVIkvkt9blyyp55HdW+Hxxs67yOwa/fPF8Kb95nvFl6wnfja4CH7C7L2rjxCCQ305Q9nYfyG9v18eJ7DKV3+rNx6qrL5eCV17++jX41rukc9AeTqRNHxYSQH5bCFPDULrK767fBRfMlfIlC40vw7vsKjXL7pSW007XsBLupYz8do+9V3pGfnulEs7ngfx2nnkmPboqv9/fuFkeeuwPMnnceVJcVJBJ/p64B/ntiTK4kgTy2xXsnupUd/mtYOa/87ZUXXaB8ada7VM/d6E0XnCxpzh7NRnkt1cr41xeyG/nWHu1p3Tld6C9XcpuvUXKlt4sgbY2CffvL3XzFkvT6B97dYjk1QcB5HduTxHd5beqXt5//i39rrhI8t983Shm85lnS+3i5aLOiOHqmwDyu29Gfm+B/PZ7hVOPD/mtR+1dk99qz+9xU5fJG29/kJTUIUOHyMqFE6VfZbnnSSK/PV8i2xJEftuGVpvAfpDfMdjlN86Q8luXGF+2jjhBam6/mxWIfcxE5Lc2T1XbEkV+24ZWm8DpyO+C//eKsbe3WvWtrqYfnSt1829BMGlT7eSJIr81L2CW6ftBfnf9Lrj8FimfN9P4MlxZKXULl0nTOedlScj/tyO//V/jvkaI/O6LkH+/j/zWo7auyW898JjLEvltjpMfWyG//VjV9MbkJ/mtRp7/rzekauzFxirwSGmZ1M2YK42XjhUJBNIDkyOtkd85Uuhehon8Zg6Ykd/GYcM3zYkeNtzZaRwyXLt8hbScchoAfUAA+e2DImYxBD/Jb4Uhb+OHUjX2Ein4x0sGFQ5H73tyIL/7ZuT3Fshvv1c49fiQ33rU3jX5rVZ+V89fLZPHnyf7Dh7YjdbLr70jjz75vMyZPEaL7VCQ33pMdjuyRH7bQVWvmH6T34q+8ZH8JQuNj+Wrv7cNO0Zq7rxbOvbZV6/iOJAt8tsByB7vAvnt8QI5kF5f8rtgw1+k37hLJbTpY+ONxMYLL5G6uQuNw4a5/EEA+e2POmY6Cr/Jb4NDJCKl966WijnTJdDYYGyLV3fjzdJ0/kWZYvL1fchvX5fX1OCQ36Yw+bIR8luPsnpSfqu9wBeveFgWTLucbU/0mEc5myXyO2dL3zVwP8rv2OCMVeDjLzNWg0eKiqV+2kxpuPIakWCQwu8ggPxmKiC/mQOp5Hewrk4qZlwvJQ/db0DqGLyP8UZi2/BjgeYzAshvnxU0zeH4Un7vYBDa/KmxVVPhi+uNR1qPGyE1K9ZI58BBaVLyd3Pkt7/ra2Z0yG8zlPzZBvmtR109Kb8fW7deNrzylmMrv5euekTW/HJdV8XuWz5Vjj78gK6vVT4zFq01vj79pOE98mLltx6T3Y4skd92UNUrpp/ld9TWdEi5OphtyULjYLb2w74l21fdJx377a9XoWzKFvltE1iNwiK/NSqWTakmk99Fzz4tVdeMleCXX4iEQtIw7hqpnzZLIgWFNmVBWDcJIL/dpO9+336W3zG6JQ8/JBXTJ0uwpoZt8ZJMOeS3+89DtzNAfrtdAff6R367xz6dnh2X32pV99gpS+SzrV+lzHP33XaSVYsm9dgOJZ2BmW2rtl+59+Hfy7iLzjK2WFH53bBgtdxUfbnRv9qCZcmqR7oO31SiXF3XjR3d1QXy2yxt/7VDfvuvpumOyPfyewcQtQd41VWXSf4//59ECgqkYfI0qb/mOpG8vHSR+ao98ttX5cxoMMjvjLD56qZ4+a1kd+XkCVL85OPGGNuHHiQ1K9dI+8GH+mrMDKY7AeR3bs+IXJDfqsLq9U29qafe3FNX21HDpGbVvcanWnL9Qn7n+gwQQX7n7hxAfutRe8fldwxLb3t+u4lO5TVu6jKZNHa0sfpbye699xwgo0aOMNJKlOHqMeS3mxVzt2/kt7v8vdB7rshvg3U4LOW3L5Oym+dJoK1V2g86RGpW3GP8masX8jtXK//1uJHfzIGY/A498HOpmD4lujKyoFAaJldL/bWTjJXfXP4mgPz2d337Gl2uyO8Yh+Inn5DKKRMk+MXnEikskvrqmdIw/tqc3hYP+d3Xs8T/30d++7/GqUaI/Naj9q7Jb6/iUXK7esFqY+X5wN12llmL18rwIw/skt+JK8OR316tpDN5Ib+d4ezlXnJKfu8oRN577xqrwAteedlY+a3kjloJHsnP93KpbMkN+W0LVq2CIr+1Kpctye5cs0UCl1wi+S/82YhvrIZccY90DNnPlv4I6j0CyG/v1cTJjHJNfiu2xpkG1ddJya9+YaBWn27Zfvf90vGNbzqJ3jN9Ib89UwrXEkF+u4be9Y6R366XwFQCyO8dmOK3Y4nt+d3c0mbI73POOKFrD/Bk8rszHDEFm0b+IxAMBCSi/scU8F9xTY4oFAxITr4GhMMSXLZMArNmijQ3S+TAgyRy/30SOeJIk+T80SwQEAkEAhLm54A/CprBKIIBdVNAwvwgyICe5rdEIhK57TbJmzFdpLFRpKxMIvMXSHj8ePXCoPngSD8dAup3AfVzgF8H06Hmn7bq2R7YMQf8MypzIwn/8U+Sf8lFIp98IlJQIJHqaRKurhbJsQUR/C5gbr74uRVewM/V7X1s6ncALu8TcFV+x7YYeePtD3qQOmTokK59tp3EGL/tycEHDDG18nvr9hYnU6QvDxFQ7/DWN3dIe0fYQ1mRipMEdutXJLn8GhD64H2pHHuJ5KtV4KGQNI6/VhqnzTQ+BpsLV35eUMqL82RbfVsuDJcxJiFQUpRneM7G5g745BCB0AfvSeVlF0n+a68ao24//r+kduUa6Rw4KIcoMNQYgV2riuTzGv49kKszIi8UkMqSfPkqF38XiIgEmhulbNY0KVm7WtSKoI5vHCB1q++X9kNy56yDksI8CQZFGvhdIFdfBqSqLF+aW8PS2t6ZswxydeDKB3B5n4Cr8jvZ4ZFeQBa/zzd7fnuhIt7NgW1PvFsbpzLLxW1PerANh6XsnpVSfuMsCTQ3Scc++0rNnXdL27BjnCqDa/2w7Ylr6D3TMdueeKYUjiQSaG+XsltvkbKlN0ugrU3C/ftLeMkyqR11rrS280a4I0XwYCdse+LBojiYUi5ue5IMb8E/XpKqsZdI3sYPjQUR9Vf9TBqmzjDOQPD7xbYnfq9w3+Nj25O+Gfm1Bdue6FFZ1+S3Vw68VNuYPPfCK3LFBWcYFYttf7Kg+nJjq5PEAy6TCXsOvNRjstuRJfLbDqp6xUR+f12v0KaN0m/sGCl46W/GR/4bL71S6mbPk0hRsV5FTSNb5HcasHzaFPnt08ImGVb+m69Lvysukrz//Nv4bvNZP5LaRcuk394DpaG5HfmdO1Ohx0iR3zlcfBFBfn9df3UgevmCuVK24jaRzk7pGLyPbF/zgLQffoSvJwny29flNTU45LcpTL5shPzWo6w5L79j+3o/9dyGrorF9vyOPfDYuvUyY9Fa48vTTxoucyaPkeKigq72yG89JrsdWSK/7aCqV0zkd0K9IhEpXXu3VMydIYHGBunca7DU3H63tB57vF6FNZkt8tskKB83Q377uLg7hhZoaZbym+ZI2d13GjKnc7cBUrt8hbSccprRYqeKQuS3/6dBryNEfuf2BEB+96x/tzcLg0FpuPRKqZ91o28XRCC/c/s1QI0e+Z27cwD5rUftXZPfCk/iliJ6IOuZJfJb18plnzfyO3uGukdAfievYOjTT6Rq/GVS+Jf1RoPGCy+RuhtvlkhZme4l75Y/8ttX5cxoMMjvjLBpc1PBhr9Iv3GXSmjTx9FPtKjXsrkLu72WIb+1KadtiSK/bUOrRWDkd/IyGdtE3bZEypYsNLaJ6txzL9m+co20DT9Wi7qmkyTyOx1a/myL/PZnXc2MCvlthpL7bVyV32qLkYce+4NMHndet5XU7mNJLwPkd3q8/NQa+e2namY2FuR379xKf75WKmZOlUBDg3QO2F1qb10pLSd9LzPYHrwL+e3BojicEvLbYeAOdResq5OKGddLyUP3Gz2qj+4bZxkkkTbIb4eK4uFukN8eLo4DqSG/e4estorqN/7SrgOC/bggAvntwBPN410gvz1eIBvTQ37bCNfC0K7Jb7Xn97ipy+SNtz9IOpxDhg6RlQsnSr/KcguHa08o5Lc9XHWIivzWoUr25oj87puvsQr82rFS+Oc/GY2bzv2J1M1fIuHKyr5v9ngL5LfHC+RAeshvByA73EXRs09L1TVjJfjlF8ahbQ3jrpH6abNSHtqG/Ha4QB7sDvntwaI4mBLy2wTsSETK7rpdyufPNQ5HV9tH1dyxWlpPPMnEzd5vgvz2fo3szhD5bTdh78ZHfnu3NvGZuSa/9cBjLkvktzlOfmyF/PZjVdMbE/LbPK+SX/xcKqZPEbWiMrzLrlKz7E5pOe108wE82BL57cGiOJwS8tth4DZ2p2R35eQJUvzk40Yv7UMPkpqVa6T94EN77RX5bWNRNAmN/NakUDalifw2D1ZtIaW2klJbSqmr6UfnSt3CZRKuqjIfxIMtkd8eLIrDKSG/HQbuoe6Q3x4qRi+pIL8tqBPy2wKImoZAfmtaOAvTRn6nBzO05TOp/Nk4KXru/4wbm888W2oXLZPwTjunF8gjrZHfHimEi2kgv12Eb2HXJQ8/GH1zrqbGWOHdMLla6q+dZKz87utCfvdFyP/fR377v8a9jRD5nX79jW3xZlVLoL5ewjvvIrWLl0vzGf+dfiCP3IH89kghXEwD+e0ifJe7Rn67XACT3bsqv5tb2mTW4rXy1HMbZPfddpJViybJwN12Nh4bfuSBMmrkCJPDcLcZ8ttd/m72jvx2k743+kZ+Z1aHkl/9Qipu+B9DNIX77yS1C5dI86jRmQVz8S7kt4vwPdI18tsjhcgwDbUKseqaK6TwxejhvO2HHyHb775POobsZzoi8ts0Kt82RH77trSmBob8NoWpR6PQ1i1SdfXlUvin54zvtZxymtTcvsqQ4bpdyG/dKmZ9vshv65nqEhH5rUelXJXfS1c9InvvOUC+/93hsnjlw3L+qJNl38ED5eXX3pFHn3xe5kweo8VBmMhvPSa7HVkiv+2gqldM5Hfm9Qp+8blUTbxKip5+KvqPnpO+JzV33G1siaLLhfzWpVL25Yn8to+trZHV/rOrV0j5vNkSaGqUSGmZ1M2YK42XjhUJBNLqGvmdFi5fNkZ++7KspgeF/DaNKmnD4l8/IpXVkyS47SsJ9+sndfMWG+fD6HQhv3Wqlj25Ir/t4apDVOS3DlUScU1+qwMvq+evlsnjzzNWe8fL7/c3bpbFKx6WBdMu58BLPeZRzmaJ/M7Z0ncNHPmd/RwofuwRqZx6nQS3bTMOwaybt0iafnxh9oEdiID8dgCyx7tAfnu8QEnSy/vPv6Xf+Esl/7VXje+2HjdCalaskc6BgzIaDPI7I2y+ugn57atypj0Y5HfayHrcoMR35ZSJUvzE/0Zfl088yTgQUx2MqcOF/NahSvbmiPy2l6+XoyO/vVydr3PzpPxm5bcek4csRZDfzALktzVzIPjVl1Kl9gLfsQq89b9OlJrbVknnoD2s6cCmKMhvm8BqFBb5rU+xAu3tUnbrLVK29GYJtLVJuH//6ArD0T/OahDI76zw+eJm5LcvypjxIJDfGaPrcWPRs09L1TVjRR1AHCkvl7rZ86Xxokut68CmSMhvm8BqFBb5rVGxLE4V+W0xUJvCuSa/1XgeW7deNrzyllRfe77cvvZxY9uT/lXlMm7qMhl9xgns+W1T0QlrHQHkt3UsdY2E/La2csW/fUwqJ08QJcMjZWXRf/RcfJm1nVgYDfltIUxNQyG/9Shc/puvS78rLhK16ltdxmG7i5cbZw5keyG/syWo//3Ib/1rmM0IkN/Z0Ot5b7CuTipmXC8lD91vfLNt+LGyfeUa6dxzL2s7sjAa8ttCmJqGQn5rWjgL0kZ+WwDRgRCuym81PrXK++IJC7sN9b7lU+Xoww9wYPjWdMGe39Zw1DEK8lvHqlmbM/LbWp4qWnD7dqmcMkGKH3/UCN567AipuWOVdO452PrOsoyI/M4SoA9uR357u4iBlmYpv2mOlK26QyQcNj5CX7t8hXGwmlUX8tsqkvrGQX7rWzsrlbc86AAAIABJREFUMkd+W0GxZ4yCDX+RfuMuFXUwcaS4ROqnz5aGK65K+1wGe7LrHhX57QRlb/eB/PZ2fezMDvltJ13rYrsuv60binuRkN/usXe7Z+S32xVwv3/kt301KPr976Ry0jUS+nyrRAqLov/oGXetfR1mEBn5nQE0n92C/PZuQQv/8oLx8fnQxx8ZSTadf5HU3XizhCsqLE0a+W0pTi2DIb+1LJtlSSO/LUPZI5DxBua82VJ21+3G99qOPFpq7rxHOvbb375OM4iM/M4Ams9uQX77rKBpDAf5nQYsF5u6Kr+XrnpEtny+TeZMHiPFRQUGhuaWNpm1eK0MP/JAtj1xcWLQtTkCyG9znPzcCvltb3WDtbVSMXWilDz6sCf/0YP8trf+OkRHfnuvSkqWVMyeLqVr7hKJRKRj8D5Sc+fdxkfn7biQ33ZQ1Ssm8luvelmdLfLbaqI946kDivtdcbHkffCeRAoKpWHKDVJ/zUSRUMj+zk30gPw2AcnnTZDfPi9wL8NDfutRe9fkd0xyn3PGCT22OOHASz0mD1ly4CVzQAT57cwsUAcgVU4YL6GtW4wO62fOk/prr3Om8156QX67XgLXE0B+u16Cbgnkv/O29P/JKAl9vNF4vOGqn0ndnAW2Jon8thWvFsGR31qUybYkkd+2oe0RuHzeLClfvth4vP3Qw6XmztXSPvQg5xJI0RPy2/USuJ4A8tv1EriWAPLbNfRpdeya/N5eWy/V81fL5PHnyb6DB3ZL+v2Nm2XxiodlwbTLpV9leVoDcqMx2564Qd0bfbLy2xt1cDML5Ldz9BMPQGo//AipuWO1tB8w1LkkEnpCfruG3jMdI7+9UYrgtm1SMWuqlPzyQSOhllNHSt1Ni6Rj7yG2J4j8th2x5ztAfnu+RLYmiPy2FW+P4Pn/ekOqrr5C8t/4p/G9+olTpP6G2c4mkdAb8ttV/J7oHPntiTK4kgTy2xXsaXfqmvxm5XfateIGDxJAfnuwKA6nhPx2GLiIFP75T1J11WUS2vKZRPLzpeG666VhwmTj705fyG+niXuvP+S3yzWJRKT0wfukfO5047DczgG7S83tq6T1xJMdSwz57Rhqz3aE/PZsaRxJDPntCObunXR2Svnty6Rs0U0SaGuVjm98U7bffb+0H3yoC8mIIL9dwe6pTpHfniqHo8kgvx3FnXFnrslvlbHa3qR6wWpZtWhS1+pvtep77JQlMv6iM9nzO+OycqNTBJDfTpH2bj/Ib3dqE2hokIoZ10vpA/caCajV3+oApPbDvuVoQshvR3F7sjPkt3tlyX/rTWM7pIJX/yGSlycNY6+S+qkzJFJc4mhSyG9HcXuyM+S3J8viWFLIb8dQ9+hI7QGu9gJXe4Kr/b8bxl5tHJCu9gV38kJ+O0nbm30hv71ZFyeyQn47QTn7PlyV3yr9mOz+bOtXXaO5b/nUHvuAZz9U+yKw7Yl9bL0eGfnt9QrZnx/y237GvfVQ+JcXpGr8pRL69BPjHz31V0+QhutnSKQgeoiy3Rfy227C3o+P/Ha+RoHGBim/aY6UqQMtOzul7YijpOb2u6Xjmwc4n4yIIL9dwe6pTpHfniqH48kgvx1H3r1D9QmgNXdJxdyZEmhqjB5yvOpeaTtqmGOJIb8dQ+3ZjpDfni2N7Ykhv21HbEkHrstvS0bhchDkt8sFcLF75LeL8D3SNfLb/UKof+hUzL5BSu9dLRKJSMd++xurwNuOPNr25JDftiP2fAfIb2dLVPybX0vFDVOMbY/ClZXG4beNPx0jEgg4m0hcb8hv19B7pmPkt2dK4UoiyG9XsPfoNLT5U2NBROGL642fCY2XXC51s2+SSEmp7Qkiv21H7PkOkN+eL5FtCSK/bUNraWDktwU4kd8WQNQ0BPJb08JZmDby20KYWYYqeOlv0u/KMRL6eKNIMCgNl4+X+hlzJFJUnGXk1Lcjv21Dq01g5Lczpcr76AOpnHiVFL7wZ6PD5rNHS+38WyS8087OJNBLL8hv10vgegLIb9dL4GoCyG9X8ffovOSXD0jF9CkSrK2VzoGDpGbFGmk9boStSSK/bcWrRXDktxZlsiVJ5LctWC0P6qr83l5bL+OmLpM33v6gx8AOGTpEVi6cKP0qyy0ftNUBkd9WE9UnHvJbn1rZlSny2y6ymcUNtDRL+ZwZ0e0QwmHp3GuwbL9rrbQNOyazgH3chfy2BatWQZHf9pZLHWRWtnSRlN221DjUTD2na+5cLa3HHGdvx2lER36nAcunTZHfPi2syWEhv02CcrBZ8MsvpOqasVL07NNGr00/vlDqblos4YoKW7JAftuCVaugyG+tymVpsshvS3HaFsxV+b101SPGwK4bO9q2AToRGPntBGVv9oH89mZdnMwK+e0kbfN9qVXgVVddIXkfvm/cVH/d9dJ41QRjmwQrL+S3lTT1jIX8tq9uhX/6g1Rdd7WENn0cfR5PnCL1N8y2r8MMIyO/MwTno9uQ3z4qZgZDQX5nAM2hW9RWWZVTJkrwqy+NTwrV3HaXtJw60vLekd+WI9UuIPJbu5JZljDy2zKUtgZyTX6rVd/V81fL/2/vTuCkqK49jp/uWXsWEFBRFHCJihijeYrBDdckRuJzi4jZJEQloEbUgOBOUEEMSnB7SKImLxEBjeYZNSYxLjFPXGPUJ5jEhajIJtvsW/f73Bq66Wl6ppe51V2n6tefDx9gpvrWud9TM13zn+pbUyaNlb2HDnJ1km4PTvjttrB3xyf89m5vClUZ4XehpHPfT6ilWWpvmiE1d/7UeXK0f3+pu/J6aRh3Xu6DdfMMwm9rlGoHIvy23zqznrdZ19uEFubRcsTRsvm2O6R9733s78zCiITfFhCVD0H4rbyBvSyf8LuXgC4/Pbxxo/S59gqpWvQrZ09NZ4yRzbPnSrT/AGt7Jvy2Rql2IMJvta3rdeGE370mLMgAhN8WmAm/LSAqHYLwW2njLJZN+G0R06Whyl9/Vfr+6IdS9uYbnUHaUaOk/oqrrSybQPjtUtMUDUv4bbdZNXfMk9rZM8UsYRTt10+2zJwjjWO/ZXcnlkcj/LYMqnA4wm+FTbNYMuG3RUwXh6r88x+l70UXSMnaNc4FEVtu/Ik0njXWyh4Jv60wqh6E8Ft1+3pVPOF3r/gK9uSihd9mhmbZkz0G7yJnnOzuDSjc1iT8dlvYu+MTfnu3N4WqjPC7UNK930/VkkVSO+MqKVmz2hms+aTRsuWGm6V9j73yHpzwO2863zyR8NtOK8tffVn6XjpJypa/4wzY+M3vypYZs5wA3OsPwm+vd8j9+gi/3Tf28h4Iv73cna61herqpO/VU6Xq17/oPBc88auyef5/ScfOA3s1CcLvXvH54smE375oY16TIPzOi63gTypq+P3eylXy69/8SaZMHCuRyvKCT97WDgm/bUnqG4fwW1/PbFdM+G1b1N3xzNWkNT+dK+bq0lBTo8TKy6Vh/ASpn3pVXjdBIvx2t18aRif87l2Xwps3S59rp0nVA78UicWk/XP7yKbbF0jriJG9G7iAzyb8LiC2R3dF+O3RxhSoLMLvAkFb3E35sr923htm5QfO/WC23DDHuSlmvg/C73zl/PM8wm//9DLXmRB+5ypWnO2LFn6bNb8nTrtN3lr+ftqZH7j/XnL37EulX9/a4sjksFfC7xywfLYp4bfPGprHdAi/80DzwFPC69ZKnxlXSdXiB5zAzVxdWnfF1dIw7nyR0tKsKyT8zprKtxsSfufZ2ljMCbzN12F4wwaJVUak/kfTpe6iyTl9Dea5d6tPI/y2yqlyMMJvlW2zVjThtzXKgg4Uam2R2huul5oFd4h0dDjL4m266+fSMWi3nOsg/M6ZzHdPIPz2XUuznhDhd9ZURd2waOF3UWdteeeE35ZBFQ1H+K2oWS6VSvjtEmyBhjVLLPS9/GIpf/lFZ4/mqlOz1ELzV0/OqgLC76yYfL0R4Xfu7S19d4XscPEFYtbjN4+Wo4+RTXcslI7dds99MA88g/DbA00ocgmE30VuQJF3T/hd5Ab0cvdlb78p/S44V0r/8a7Eqmtky7UzpWH8BSKhUNYjE35nTeXbDQm/fdvajBMj/M5I5IkNCL8ttIHw2wKi0iEIv5U2zmLZhN8WMYs4VOUTj0mf666U0g/e6wzjjjhatsz6ibQdcGCPVRF+F7FpHtk14Xf2jTBLDdXe9GOpWXiXSHu7dAzcxfk6a/rPM7IfxINbEn57sCkFLonwu8DgHtsd4bfHGpJHOaG2Nqm59WapmXeLmH+3HnqYbFpwn7QP3TOr0Qi/s2Ly9UaE375ub4+TI/zW0fuih9+vvLFCxk2e3UXr/nnTZMTBw3QIigjht5pWWS+U8Ns6qboBCb/VtazHgmvuuVNqb5ohofp6ZzvnpnvXzpTojjulfR7ht7/6n89sCL+zU4v8z2+kZs6NUrZiufOE+gsulLrp10qs1vvL22WaIeF3JiH/f57w2/897mmGhN/+6b95jepr3pn0t9ecSW257kapv/jSjBMk/M5I5PsNCL993+JuJ0j4raP3RQ2/TfA9d8GSLmt7m5tgTpg6Vyade6qccfIoFYqE3yra5EqRhN+usKoalPBbVbuyKja8aZPU3HxD59WpIhKLVEn9ZVOlftIPJVZR2WUMwu+sSH29EeF3z+2NPLxEqu7/mVS8+IKzoXk3xeZ5d0nrFw/xzXFB+O2bVuY9EcLvvOl88UTCb1+0scskam6/zbknhXm0/sehsunOn0n7Pvt2O1HCb/8dA7nOiPA7VzH/bE/4raOXRQu/m5pb5bpb7pWzTjl2u6u8TSi+9LFnZcaU8RKpLPe8JOG351vkWoGE367RqhmY8FtNq3IutPTD96XPtdPFLIliHh27DpK6a2ZK45hzEmMRfufM6rsnEH6nb2nkkaXOjcRKV37gbBDt31/qpl4tDef9wHfHAOG371qa84QIv3Mm89UTCL991c7EZMzrV9+LJiR+eWuuAG+YcJF07LLrdhMm/PbnMZDLrAi/c9Hy17aE3zr6WbTwe+PmOpl+00KZMmms7D10UBctc/X3LXc9KLOuPF/69fX+22EJv3Uc7G5USfjthqquMQm/dfUrn2or/voX6XPF5MRyDW1fOFg2z/qJtH7pCCH8zkfUX88h/O7az8qn/yC1P75Gyv7vrcQn6iddIvU/mi7RPn381fytsyH89mVbc5oU4XdOXL7bmPDbdy3tMqHqe+9x7gtj7lthboi5+ebbpHHst7psQ/jt72Mgm9kRfmej5M9tCL919LVo4TdXfus4QKiyZwHCb44Qwu/gHANVi/5b+sy4WsLr1zmTbjrldGmeeZNUH7CvrN/cEhwIZtr1B95IqYRCIalrbAu0TNkbr0uf66+UiheeTzg0fHe81E+50nnXhJ8fhN9+7m52cyP8zs7Jr1sRfvu1s9vmVfLpKuc1zizlZR4dQ4ZK/aVTpeE733P+T/jt/2Mg0wwJvzMJ+ffzhN86elu08Nvw/OaJ52XJY8+y5reOY4Uq0wgQfnNYEH4H6xgINTdJzU/nSs38WyXU0tz5A9Alk2XdJdN8e1VrsDqc+2yDfuV36b/+KbUzr5HI4/+TwGs6/Sypu/p6aR+6Z+6gCp9B+K2waZZLJvy2DKpsOMJvZQ3rRbnlr74sfaddJuYXvubRvt8w2TJjlpR+fbSEwyHZEvBfhPeCVv1TCb/VtzDvCRB+501X0CcWNfw2MzXre4+bPLvLpO+fN227dcALqpLjzlj2JEcwH21O+O2jZuY5FcLvPOGUPy28bq1zBVDVkkUisZhE+w+QuiuuloZx54mUlCifHeXnIhDU8Ltk9adSO+vHUvXgr0Q6OhyyptH/6ayL3/65fXIhVL8t4bf6FvZ6AoTfvSZUPQDht+r25V58LCaRRx+SPjOvk5J/f9gZgh81SlrnzZdNe3R/U8zcd8QzNAkQfmvqlt1aCb/tero1WtHDb7cmVshxCb8Lqe2tfRF+e6sfxaiG8LsY6t7ZZ9U/l0ufSyZK+OWXO3/42Xc/2fLj2dJ84le9UySVuCoQtPA7vGmT1MybI9UL/yvx7oeW406QLdfeIG0HHuSqtVcHJ/z2amcKVxfhd+Gsvbgnwm8vdsX9mkJtbVL9s7ul5tabJbxxo0goJI1njZW6a29Ie1NM9ytiD8UUIPwupn5x9034XVz/bPde1PD71gVLZPXaDTJjyniJVJY7NcfXAh95yHA54+RR2c6jqNsRfheVv6g7J/wuKr8ndk747Yk2FK2I+A0vG/57kdT++Fop/fB9p5bmk0bL5ptukY4hexStNnZcGIGghN/Okj8L7pKa226WUH29g9t62OFSd80MaTn8qMJge3QvhN8ebUwByyL8LiC2B3dF+O3BphSwpFBdnfS/bZZUzJ+X2Gv9RZOl/jKWxCtgG4q+K8LvoregaAUQfheNPqcdFy385oaXOfWJjT0qQPjt0cYUsCzC7wJie3BX8fA7fsPLmrvnS+3NNyTCwfoLL5G6KVdJrKbGg9VTkg2BIITf1fctdI7r+M1e2/Yf7ixv0vyVr9kgVD8G4bf6FvZ6AoTfvSZUPQDht+r2WSne3PCyZNUnErpqulQtfdAZM9q3r9T/aLrUT/yhlX0wiLcFCL+93R83qyP8dlPX3thFC783bq6T6TctlCmTxsreQwd1mdF7K1fJLXc9KLOuPF/69a21N1uXRuLKb5dgFQxL+K2gSS6XSPjtMrDHh08Nv0255q2vtTdeJ9X3/8yp3qx/3HTaN6ThgknO2uA8/CXg5/DbrGlae+MMKf3gvc5jeZ99pe6qGdL09VP91cRezobwu5eAPng64bcPmtiLKRB+9wLPJ0814Xf8hpdlb78pfa6aKhV/fb7ztXPonlI34yZeO33S6+6mQfjt8wb3MD3Cbx29L1r4zZXfOg4QquxZgPCbI4TwO9jHQLrwOy5S+o93pc81V0jl039wPhSrqJTGs78p9ZdOlY7BQ4IN56PZ+zH8rnjmaenz46ul7K2/O50yy/fUTbtGGsec46PO2ZsK4bc9S60jEX5r7Zydugm/7ThqHiU5/I7Po/JPT0mfa6eJOR80j9ZDRsiWG26W1hEjNU+V2rsRIPwO7qFB+K2j90ULvw3PK2+skOmzFsqCOZcnrv42V31PmDpXJp17Kmt+6ziGAl0l4Xeg2+9MnvA72MdAT+F3IgR/d4WzTnLVQ4sTWOaGSA0XTpa2z38h2IA+mL2fwu+yFcul9vorxfzA7oTeA3eR+suukIbvT/BBp9ybAuG3e7ZaRib81tIpd+ok/HbHVdOo6cLveP3V/32f1MyeKSVrVjsfajrldKm7+npp33sfTVOk1gwChN/BPUQIv3X0vqjhtyGKh92frvksIXb/vGky4uBhOgRFhGVP1LTKeqGE39ZJ1Q1I+K2uZVYLzib8ju/QrAVZffttYn4IMjcPNI+WUcdK/cWXSctxJ1qti8EKJ+CH8Lv0n/9wrk6r/OPvHbho//5Sf/HlUn/xpYWDVLwnwm/FzbNUOuG3JUilwxB+K22cxbJ7Cr/NbpybRt9+m9TMv1VCTY3OnhvOmyh1U6ZLdMCOFithqGIJEH4XS774+yX8Ln4Psqmg6OF3NkV6fRvCb693yL36CL/ds9UyMuG3lk65U2cu4Xe8ArMmePW9C6R64d3bbiB4wIFSf9lUaTr1THcKZVTXBDSH3+bdCNV3z5eyv/9ta+g9wHlHQv15EyRWzU1asz1oCL+zlfLvdoTf/u1tNjMj/M5Gyd/bZAq/E+eA69dJ7U0zpPqX9zofMq+19ZdcLvWTfiixyoi/kXw+O8Jvnze4h+kRfuvoPeG3hT4RfltAVDoE4bfSxlksm/DbIqbCofIJv5OnWX3vPVJzxzwp+feHzoc7dh3k/BDU+O1x/BCk5HjQFn6H169zfvFSfd89Et6wofO4232wNEy8WBrO/T7HXR7HHeF3Hmg+ewrht88amuN0CL9zBPPh5tmG3/Gpl773T6m94XqJPPaI86HojjtJ3VXXS8N3vudDnWBMifA7GH1ON0vCbx29J/y20CfCbwuISocg/FbaOItlE35bxFQ4VG/D7/iUI489KtXz50r5317r/CGof39pGD9BGi6YJNH+AxTKBKdkLeG3Obaq75gnkd8+nGhOyzHHScP5k6T5pNHBaZgLMyX8dgFV2ZCE38oaZrlcwm/LoAqHyzX8jk+x/OUXpc9VUxPnf237D5dNdyyUtoO+qFAh2CUTfge3/4TfOnpP+G2hT4TfFhCVDkH4rbRxFssm/LaIqXAoW+F3fOoVL74gNbfOkYpn/uR8KFZRKY1nf1PqL50iHYOHKhTyf8leD78jjz4k1XffLuWvvbLtmDI3XJ10ibTvu5//G1SAGRJ+FwDZ47sg/PZ4g1wuj/DbZWAFw+cbfsenZl6ra2deJ6UrP3A+1HrICKmfepU0n/AVBbOnRCNA+B3c44DwW0fvCb8t9Inw2wKi0iEIv5U2zmLZhN8WMRUOZTv8jhOUvrtCau6cJ1UP/DKh0nT6Wc664G37H6BQyr8lezH8Dm/4TMySOlX33iMla9c4+M7SJj+4SBq+NU5itbX+bUgRZkb4XQR0j+2S8NtjDSlwOYTfBQb34O56G37Hp1Sz8C6pvu2WxGu3uTF609jvSOOYczw4a0pKFiD8Du7xQPito/eE3xb6RPhtAVHpEITfShtnsWzCb4uYCodyK/yOU5Ss/tRZqsLcGCnU2OB82PwgVDf9WmkdMVKhmP9K9lL4bW5cWX3PnVK1+IEEtFnapHHc+dJ0ymn+w/fIjAi/PdKIIpZB+F1EfA/smvDbA00ocgm2wu/4NKrv/5nUzL912z1hBu4iDRN/2HlvDn6BXeRup9894bcn21KQogi/C8Lc650QfveaUITw2wKi0iEIv5U2zmLZhN8WMRUO5Xb4HScJ1dWJ+UGo+u75267kdW6O+SNpOf5Ead/rcwr1/FGyF8LvyCNLpfqeu6X8lWUOqrNczje/46znzdIm7h9nhN/uG3t9D4TfXu+Qu/URfrvrq2F02+F3fM7mPh01834iZW/9vfP1vapaGr49zrlJdcfgIRpoAlMj4XdgWr3dRAm/dfSe8NtCnwi/LSAqHYLwW2njLJZN+G0RU+FQhQq/k2mqliySyAO/kIoXnk98uO3Ag6T59LOk8cwx0rHb7gol9ZZcrPC7ZM1qqfjTU1J70wwx/zaPjiFDnZuksrRJYY8nwu/Centxb4TfXuxK4Woi/C6ctVf35Fb4HZ9vxV+ek+o750nln55KEDSdeqY0XDRZWr94iFdZAlUX4Xeg2t1lsoTfOnpP+G2hT4TfFhCVDkH4rbRxFssm/LaIqXCoYoTfcSZzU6TI0gclsvgBKf3gvYRe62GHS9NZY6Xp1DMk2n+AQlVdJRcy/A61NEv5669K9V3zpfLJ3yWgzNImDedNlOavfV0Xnk+qJfz2SSN7MQ3C717g+eCphN8+aGIvp+B2+B0vr2z5/0n1T38iVQ8t3nbeN/JI50rwptH/2ctZ8PTeCBB+90ZP93MJv3X0j/DbQp8Ivy0gKh2C8Ftp4yyWTfhtEVPhUMUMv5O5yl97RSofWixVSx+Q8KZN20LRY4+XpjPPlqZTTpdYTY1CYe+X7Hb4HWqol8jjj0nF47+Vyqf/KKHmJgcl2r+/NJ79bWn87nhp32df70P5uELCbx83N8upEX5nCeXTzQi/fdrYHKZVqPA7XlLJJx87vwiv/sXPE+cF7XvsJQ0/uFAavz1OYpWRHKpnUxsChN82FHWOQfito2+E3xb6RPhtAVHpEITfShtnsWzCb4uYCofySvidTFf5hyel8jdLulwVZD7ffPIp0nTGWdJ80mh+KLJ4rLkRfptfYER+96hU/O63Xd7ibH6YbTrlVGk+9Uynjzy8IUD47Y0+FLMKwu9i6hd/34Tfxe9BsSsodPgdn685X6i+7x6pvuunEt640flwtF8/aTj3POdq8OiAHYtNE5j9E34HptXbTZTwW0fvCb8t9Inw2wKi0iEIv5U2zmLZhN8WMRUO5cXwO87oXDH82KMSWfJA5/rg0ajzqVh1jTR9bbQ0n3m2tBx7gsTKyhTKe6dkW+F3eP06p1+Vjz0iFf/7gkh7e2e/KiPS/OWTpPmMb0jzV77m3MySh7cECL+91Y9iVEP4XQx17+yT8Ns7vShWJcUKvxPnfK0tUrXoV1J950+l9P1/dZ4/lJc77/6rv+hSad9vWLFoArNfwu/AtJrwW2mrAx9+NzW3ynW33CuPP70s0cL7502TEQd3vkC8t3KVTJg6Vz5d81ni8wfuv5fcPftS6de31vkY4bfSo99C2YTfFhCVD0H4rbyBvSzfy+F38tRKVn8qkYcWS+ThxVL21t8Tn4r27SvNXz9N6iddwg9GeR4LvQm/Sz7+yLnCu/Kx30r5S//bpQJzZXfTN86W5q+eLLFIVZ7V8bRCCBB+F0LZ2/sg/PZ2f9yujvDbbWHvj1/s8DtZyPwivXr+XCn/22uJD7ccd6LUXzhZWo493vuYSisk/FbaOAtlc+W3BcQCDBH48Hvj5jq578EnZeK5p0mkslxeeWOFTJ+1UBbMuVz2HjrICb+vmrVQbpx+vvP/dA/C7wIcqR7dBeG3RxtTwLIIvwuI7cFdaQm/k+nKViyXyOJfSeThJVKy6pPEp2K1tdJ87AnS+P0fSMfAXVhHOsvjLdfwu2z5O1L29ptSveAOKXvj9a6B94lfleYzxkjT6FOcK/R56BAg/NbRJzerJPx2U9f7YxN+e79HblfopfA7PteKF1+Q6vm3SuUff78tBD9ylDSfOUaaTvuGRPv0cZslUOMTfgeq3V0mS/ito/eBD79T22TC8InTbpPLJ4xxrv4m/NZxIBerSsLvYsl7Z7+E397pRTEq0Rh+JztV/OU5iSxdJJW//52EN2zoQmjWiWw54mhpPfIoaT3iaGkb/vliEHv/TyANAAAgAElEQVR+n5nCb3PlVdlrL0v4s8+cXzjE344cn1jz8V+W5jPOkqbRp4r5BQQPfQKE3/p6Zrtiwm/borrGI/zW1S83qvVi+B2fZ+m7K6Tm9rlS9eCvu0y9/sJLpOX4r0jLMce5QRK4MQm/A9fyxIQJv3X0nvA7pU+pYXfqsiepS56Yp3Plt46D3Y0qCb/dUNU1JuG3rn7ZrlZ7+J3sUf76q1LxzJ+kfNlfpfzVlyVUV9c1DO/bV1pHHimto46VlpFHSttBX7TNqXK85PC79F//dN5mXPrG61L+2suOY+rDLGHScvQx0mJuQPr10yS6ww4q503R2wQIvzkaCL+DfQwQfge7/2b2Xg6/490xS+BV/ep+549Zdi3+MO/2M2uDN501VtoOPIhm5ilA+J0nnA+eRvito4mE30l9iq//PfKQ4XLGyaPSdvDWBUtk9doNMmPKeGeZFPNobOm8KRWP4AlUlJVIW3tUorFY8CbPjB2BqorSQH8PiMVCEgoF9/gPh0JSVhqWlrYO331FhN96S8LLXpTwS8s6//5X5w2U4o9YTY1EjzxKoqNGSYf5e+ThvjPoaUKh9esk/OIyKf3baxJ6aZmEXt7+Fwbm+bFdd5XooYdK9NAREv3SSOk4lius/HSgmPvIRipKpL09Kh2cC/iptTnNJVJeKk2t/DyQE5qPNjbnAuaX4c0+PBfI1KagnwfGfUpLwhISkbaOzpuLe/1R8tyzUrLoASl5aKmE6usT5UaHD5eOsedI+3fOdc5feGQvUFFaIu3RqHREg/tzUfZa/trS5AE8vC9A+L21R/Hge5ed+8tlE8Z02zlzJfgtdz0os648P3HDy00Nbd7vNBW6IlBbWSpNbR3S3sGLnCvACgbdobpMAv09wBz65mw/oI/ScMgJvuqa/B96hDZukNJlL0rJshedv0v/+pftut76re9IdMhQkdJSaT/iKOfzsR13lOgee0osElF7lJi5lyx/R8KrV0vZkgel5PVXJbxq1XbzMet0d4wYIe2HHiYdh31J2kd8SWI77aR23hSeWcDk3bWRUucXYG2cC2QG8+kW5lxgc0ObcDbo0wZnmFZJSKSqsjQQ5wLbv/AF+zww7lFZFpZQKCRNrfouhih/eKmUPfArKXvqyS7tbR91jLSd8y1pPf1MidWwLFum727VlaXS2hZV8wuQTPPh89kLmHMAHt4XIPwWkWyDb9POdOE3y554/0B3q0KWPXFLVs+4LHuip1duVOqnZU/y8TFLfJS/skzKXlom5a++JCWffNztMNEdd5L2PfeSjsFDpX3oHhIduoe0D9lDOoaa/++Zz+6tPad05QdO7SWffOLcBDT8yUfO/+NLv5glYULNTdvtr/WQERIbOVJi/3GI1O13oLQN299aTQykR4BlT/T0yq1KWfbELVkd47LsiY4+uVmlhmVPMs0/vHGjRB59SCKLf73dsm3mBplN3zhbmk8anWmYwH6eZU8C23ph2RMdvQ98+J1pqZOnnn1ZPrfn7rL30EFOR82yJ+aRfHU44beOg92NKgm/3VDVNSbht65+2a426OF3qmd4/Top//vfpOztt6TkvX9KyUcrpXTlh1Ly75UZ6TuGDJX2IUOlY8ge0nL8iRLdaWDG5+SyQXjdGifcDn/8kZSs+lhKnbD7YwmvW5vVMGaN87bPf0HaDv4Paf3iIc7f5pHphpdZDc5GqgUIv1W3z0rxhN9WGNUOQvittnXWCvdD+J2MUfLvD6VqySKJLH5ASj94L/Epc58SZ33wb5wtrSNGWvPzw0CE337oYn5zIPzOz63Qzwp8+J16Q8t4A75/zslOwP3KGytk3OTZib6MPmFkl/W+zScIvwt92Hpnf4Tf3ulFsSoh/C6WvDf2S/idfR/MD1KlK1eK+btkpfn3B1Ly739Lifl77ZrsB3JhS3Ozp47BQ6Rj10HSMWh3ie6+u3Tstrvzb+fvXTt/AZ7uQfjtQkOUDUn4raxhLpRL+O0CqqIhCb8VNculUv0WficzmZt3R5YuksjDiyW8aVPiU+aihcZvflfqL7xEzM28g/4g/A7uEUD4raP3gQ+/bbSJ8NuGos4xCL919s1m1YTfNjX1jUX4badnoZZmKVm5Ukq3BuPOsiNrVneG4i2tVnYS69u3M8jebbB07LbbtnB78JBejU/43Ss+XzyZ8NsXbezVJAi/e8Wn/smE3+pb2OsJ+Dn8TsapfOoJiTy0WCKPLO1iFg/CW44aJeadckEMwwm/e/1lpHYAwm8drSP8ttAnwm8LiEqHIPxW2jiLZRN+W8RUOBTht8KmWS6Z8NsyqMLhCL8VNs1yyYTflkGVDUf4raxhLpQblPA7ThdqqJeqRx6SykeWSsVzz2wn2vqlI6Tl2OOl5ZjjpPWww10Q996QhN/e60mhKiL8LpR07/ZD+N07P+fZhN8WEJUOQfittHEWyyb8toipcCjCb4VNs1wy4bdlUIXDEX4rbJrlkgm/LYMqG47wW1nDXCg3aOF3MmGosUEqn3layp/7s1Q883SXNcLNdrGqamk54ihpNWH4qOOkbfjnXehA8Yck/C5+D4pVAeF3seRz2y/hd25eabcm/LaAqHQIwm+ljbNYNuG3RUyFQxF+K2ya5ZIJvy2DKhyO8Fth0yyXTPhtGVTZcITfyhrmQrlBDr9TOUtWfSIVzz8j5c8+LRV/ec5Zxi75Ed1xJycEN1eFtxxzvHTsPtiFjhR+SMLvwpt7ZY+E317pRM91EH5b6BPhtwVEpUMQfittnMWyCb8tYiocivBbYdMsl0z4bRlU4XCE3wqbZrlkwm/LoMqGI/xW1jAXyiX87h619N0VUvn8n6X8uWek4q/PS6iursvG7Xvs1bk8ignDjz5Oov36udAh94ck/Hbf2Kt7IPz2ame61kX4baFPhN8WEJUOQfittHEWyyb8toipcCjCb4VNs1wy4bdlUIXDEX4rbJrlkgm/LYMqG47wW1nDXCiX8Dt71PJXXpKKF56T8mf/7IThqQ+zVnjr0cdJy5FHS+uhh2U/cJG3JPwucgOKuHvC7yLi57Brwu8csLrblPDbAqLSIQi/lTbOYtmE3xYxFQ5F+K2waZZLJvy2DKpwOMJvhU2zXDLht2VQZcMRfitrmAvlEn7nhxpqaZbyF/9XKp572rlxZtmbb3QZqO3AgyTap690DBki7fsfIO37DpO2/faXjsFD8tuhi88i/HYR1+NDE357vEFbyyP8ttAnwm8LiEqHIPxW2jiLZRN+W8RUOBTht8KmWS6Z8NsyqMLhCL8VNs1yyYTflkGVDUf4raxhLpRL+G0HNbx5s7NeeMUffy+Vf3hSwuvXpR04FqmStv2HS/t+w6R92AHO3237DZOOwUPtFJLHKITfeaD55CmE3zoaSfhtoU+E3xYQlQ5B+K20cRbLJvy2iKlwKMJvhU2zXDLht2VQhcMRfitsmuWSCb8tgyobjvBbWcNcKJfw2wVUETE3zyx9d7mUvbtcSpe/I6X/WCFlK97Zbt3w+N5jVdVOCO6E4vt/Xtr33U/ahpkrxd0PxQm/3TkGbI1q3mUQamySUHOThJoaJdTUJKHGrX87/0/5WHOTSEdH5t2Hw1I7e2bm7dii6AKE3xZaQPhtAVHpEITfShtnsWzCb4uYCoci/FbYNMslE35bBlU4HOG3wqZZLpnw2zKosuEIv5U1zIVyCb9dQO1hSCcU/8e7Urb8bSl5d4WUbf136s0040M4y6cMGCCthx8lrSOP7PxwSCS6Qz+JDthROgbu0usJEH7nTxjesmVr+JwUQDebsLqh8+MmtI4H1M3NIubjyR9rapJwY6NIc7OE489JDrcbG/IvLptnxmLZbMU2RRYg/LbQAMJvC4hKhyD8Vto4i2UTflvEVDgU4bfCplkumfDbMqjC4Qi/FTbNcsmE35ZBlQ1H+K2sYS6US/jtAmoeQ5Z8ukpKnTB8uZQsf0fKzL+Xv93tleLJu4j26yfRHXeS6ICdpGOnnTr/vfNAifYfIFHz/512lo4B5uM7Oh9Lffg9/HaC6OaWziunnT/NnVdPm8B57WopWbtGQhs2SKhha2DdzdXV4cYmkeYmCZvP19Xl0eX8nxLt00fMkjmdfyISq9r6d2Wk82NVW/92/l0lEg5ntbPaOTdmtR0bFVeA8NuCP+G3BUSlQxB+K22cxbIJvy1iKhyK8Fth0yyXTPhtGVThcITfCptmuWTCb8ugyoYj/FbWMBfKJfx2AdXikCWffCxlb78pZe+8LeFVn0h4/XoJf7ZeStatcdYVD2/cmPPenDB8x52k9YijnDA8skOtNH3xUGlti2Y9VqysVKSsXGLl5RIrLRMpL9v6d7nEysokVlYuUlYqscpIlzE7l+5o3j6Ibml2rn7uDKW7BtTm/7I1rE4E2MljtLR2Xl29dWwTUJt/m6uy3X7Eqmu6htGRKommBtTx0Lq6WsQE15WV24LseGhtwuyUINsZp7bW1Smw5rervNYGJ/y2QEn4bQFR6RCE30obZ7Fswm+LmAqHIvxW2DTLJRN+WwZVOBzht8KmWS6Z8NsyqLLhCL+VNcyFcgm/XUAt8JDmymUnCP/sMwmvWyMl69dJyPx7bee/Oz++VkrWry34FcsFpki7u1iFCZsrO8Nl50+FSGVEolXVztIx0YEDnavlt7uq2rmKurozrHbC6W2hdXSHHbwwtV7XQPjda8KCDED4bYGZ8NsCotIhCL+VNs5i2YTfFjEVDkX4rbBplksm/LYMqnA4wm+FTbNcMuG3ZVBlwxF+K2uYC+USfruA6vEhzbrjnWH5eilZ/anUbFovbZu2SEdLi0hrm4Ta20RaW52/Q61tIm1tEmprTfq73fl/qG3bdvHnhVpbRbY+L9RQn1bCWcLDXBHuXOmcFErH/71dWF0pEg+fnfDaPGfr8yJmnJQxzPOTxvZ4O4paHuF3Ufmz3jnhd9ZU3W9I+G0BUekQhN9KG2exbMJvi5gKhyL8Vtg0yyUTflsGVTgc4bfCplkumfDbMqiy4Qi/lTXMhXIJv11AVTak39f8VtaOgpZL+F1Q7rx3RvidN922JxJ+W0BUOgTht9LGWSyb8NsipsKhCL8VNs1yyYTflkEVDkf4rbBplksm/LYMqmw4wm9lDXOhXMJvF1CVDUn4raxhFssl/LaI6eJQhN8WcAm/LSAqHYLwW2njLJZN+G0RU+FQhN8Km2a5ZMJvy6AKhyP8Vtg0yyUTflsGVTYc4beyhrlQLuG3C6jKhiT8VtYwi+USflvEdHEowm8LuITfFhCVDkH4rbRxFssm/LaIqXAowm+FTbNcMuG3ZVCFwxF+K2ya5ZIJvy2DKhuO8FtZw1wol/DbBVRlQxJ+K2uYxXIJvy1iujgU4bcFXMJvC4hKhyD8Vto4i2UTflvEVDgU4bfCplkumfDbMqjC4Qi/FTbNcsmE35ZBlQ1H+K2sYS6US/jtAqqyIQm/lTXMYrmE3xYxXRyK8NsCLuG3BUSlQxB+K22cxbIJvy1iKhyK8Fth0yyXTPhtGVThcITfCptmuWTCb8ugyoYj/FbWMBfKJfx2AVXZkITfyhpmsVzCb4uYLg5F+G0Bl/DbAqLSIQi/lTbOYtmE3xYxFQ5F+K2waZZLJvy2DKpwOMJvhU2zXDLht2VQZcMRfitrmAvlEn67gKpsSMJvZQ2zWC7ht0VMF4ci/LaAS/htAVHpEITfShtnsWzCb4uYCoci/FbYNMslE35bBlU4HOG3wqZZLpnw2zKosuEIv5U1zIVyCb9dQFU2JOG3soZZLJfw2yKmi0MRfruIy9AIIIAAAggggAACCCCAAAIIIIAAAggggAACxREg/C6OO3tFAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQcFGA8NtFXIZGAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQKI4A4Xdx3NkrAggggAACCCCAAAIIIIAAAggggAACCCCAgIsChN954v7mieflmjn3Os8efcJImTFlvEQqy/Mcjad5XeC9latkwtS58umazxKlHrj/XnL37EulX99a2bi5TiZOu03eWv6+8/n7502TEQcP8/q0qC8LAfO1/uFHq+WyCWO6bJ2p53yPyAJXySa3LlgiewzeRc44eVSi4tT+m0/sOnCALJhzuew9dJA0NbfKdbfcK48/vcx5zsyp47s8X8nUA11m6vf95O/5cZievs4zfY8INK6Syb/yxgoZN3l2otrU873k/sc3+v45JydeL5Kfn+74UcIQ6DJTe5z6vTzT1znnAvoPH3MO8PNFTyQmknyOz7mA/v7mMoP4ecGkc0/tck7X09c554O5CHt/23THQKZzgUyvE96fNRUi4A8Bwu88+mh+mJm7YEki+DQnReaRGo7lMTRP8aiAeaG7atZCuXH6+U6wlfyIn9SMPGS4cyLU07YenR5lpRFIDi2Swwyzaaae8z3CH4dU8slsd4HH5RPGpP1FV/LrQvykt7tt/aHlv1mYr+OPVq1N/IBrerp67YbEL7t7+jrP9D3Cf1r+nJH5HjB40M7O13i8p7vs3D9xvmc+v+y1d9JeAJF6LtDTtv7U0z8r0/O7f/GofG/s17pc6BD/Xp7p65xzAf3HgHn9vu/BJ2Xiuac5Fzmlfl1nen3nXED/MRCfQfIvxJPPCTN9nXMM+P8Y6On1PdPrhH90mAkC3hcg/M6jR6lXAaa+6OUxJE/xuEBPgbb53C13PSizrjzf+eEo9UXO41OjvAwC6a78ztRzvkf467Dq6crvdIG2+WF4+k0LZcqksYlflvFLUv3HRLofcJPfEZD8+Q2b6nhd0N/y7WaQ+gNuTz/wpr528Itx/QdEuhCjp/M/zgX09zx1Bqlhd0/hN+cC/ul/vJcXjT9dfrnkKYlf8GRm2NPXufk854P+OA56OgYy/SKcnMAfxwCz0C9A+J1jD9MFm/xAkyOiws17evt7ul9+EHQpbHI3JacLv3vqubk6yCx3kXxizPcI3cdDNsueJC95kq7fXPWp+xgw1Sf30Py/p6/zDRu3dHmHWPwHZPM37xLTeyykvranvtU5+V1CqdtmukJUr0pwKo+fC86afr7zbgDOBYLT+/hMTc+nz1qYWOIsdTkDzgX8d0wkf+/+/LC9urz2Z8oFjEbqO4c5H9R3jPR0DMTPD+PL4Zr/py5/lrxiAOeD+vpPxf4RIPzOsZfxF7mzTjk28VZ3gq0cEX2wefLb399e8b4sfezZLm97Jvz2QZO3TqG78Lu7nsfDb75H+OcYSBd+p87OHCdLHnvWWQ4r9arf1OCU+0PoOzZSX+cznQuY8JvXBX197qniTO/yi/9wPOaUY52lclK/bxB+6z0ekgPO1OUOOBfQ29dcKk++CKan+/pwLpCLqve3TX2tTw27M50LmBkmX/XL+aD3e55aYaZjIHX71HMBc+7A+aC+vlOxPwUIv3Psa6bf8KauB53j8GyuRCB52Yt/ffAJV/gp6Vs+ZXLldz5q/npONuF38tubzey50sc/x0Dq1Z5mZpnOBbjy2z/9NzNJvdqzu9klv15w5be/joF0X/dc+e2/HmeaUaZfYnEukElQ1+fT3dA0PgPzi7CvHT+yx3eBcT6oq9/pqs10DJhfdqc+ks8FeIe4/mOAGfhHgPA7j16yhl8eaD57SnL4zdquPmtuynRY89vf/c1mdrmG3/13qGWNx2xgFWyTLviOl93TuQCvCwqam2WJ2QbfZrjk1wvW/M4SWNlmyX3l/h/Kmmep3J7OCZLDb84FLIF7aJh0v/hmzW8PNagApWRzb69cXicKUDK7QACBrQKE33kcCpnu6pzHkDzF4wJPPfuyfG7P3dPevI67OHu8eb0sL134nannfI/oJbrHnp7uB13TY/Mw677GQ69lr72TWP4o+arPTFeKeWy6lLNVINOSZj19nWf6HgGyDoGeljoxPX748efkzNHHiFnKKPXrPPX4YZ1XHT1PrtL09L4HnxSznFlyj+NL22T6OudcQF/PUys2X8dP/+U1ueDbpzifSrfuO+cC+vuc7QzSBZ+Zvs45H8xWV8d26Za+6elcINPrhI5ZUyUC/hAg/M6zj8k3ORp9wsgu6z3nOSRP87CAObEZN3l2osLUnqe+Jaqn9QA9PE1KSxJI7bn5VHJfM/Wc7xH6D6fUm9ml3shqwtS58umaz5yJHrj/Xs563/361jr/j5/sPv70Muf/yevE6pcJxgxS+x+fdfL3gZ6+zjN9jwiGou5ZmtDi54ue6DKJ5O8DqZ9P/TpPfh1J/R6hWyY41Wfqcaavc84FdB8rqa/lqeeCyWuBcy6gu9fZVN/dVb89fZ1zPpiNrJ5turv6P/lcIfVcINPrhJ7ZUykCugUIv3X3j+oRQAABBBBAAAEEEEAAAQQQQAABBBBAAAEE0ggQfnNYIIAAAggggAACCCCAAAIIIIAAAggggAACCPhOgPDbdy1lQggggAACCCCAAAIIIIAAAggggAACCCCAAAKE3xwDCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAr4TIPz2XUuZEAIIIIAAAggggAACCCCAAAIIIIAAAggggADhN8cAAggggAACCCCAAAIIIIAAAggggAACCCCAgO8ECL9911ImhAACCCCAAAIIIIAAAggggAACCCCAAAIIIED4zTGAAAIIIIAAAggggAACCCCAAAIIIIAAAggg4DsBwm/ftZQJIYAAAggggAACCCCAAAIIIIAAAggggAACCBB+cwwggAACCCCAAAIIIIAAAggggAACCCCAAAII+E6A8Nt3LWVCCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAoTfHAMIIIAAAggggAACCCCAAAIIIIAAAggggAACvhMg/PZdS5kQAggggAACCCCAAAIIIIAAAggggAACCCCAAOE3xwACCCCAAAIIIIAAAggggAACCCCAAAIIIICA7wQIv33XUiaEAAIIIIAAAggggAACCCCAAAIIIIAAAgggQPjNMYAAAggggAACCCCAAAIIIIAAAggggAACCCDgOwHCb9+1lAkhgAACCCCAAAIIIIAAAggggAACCCCAAAIIEH5zDCCAAAIIIIAAAgggUGSB3zzxvCx77R2ZMWW8RCrLi1wNu0cAAQQQQAABBBBAwB8ChN/+6COzQAABBBBAAAEEfCfQ1Nwq191yrzz+9LIuc9t14ABZMOdy2XvoIOfjJjhe8tizcvfsS6Vf31qVDoTfKttG0QgggAACCCCAAAIeFyD89niDKA8BBBBAAAEEEAiqQDz83mXn/nLZhDEJhlsXLJGX31ihOuxO7Snhd1CPcuaNAAIIIIAAAggg4KYA4bebuoyNAAIIIIAAAgggkLdAd+F36pXeqcFx/P9f//LhMnHabc7+U68WTy0qvq+RhwyXDz9aLT9f9ISzyegTRiaWItm4uc4Z7/IJY2TEwcOczyc/74yTR0l8m++dfZLct/j38tby953tZk4dLwcd8DmZMHWufLrmM+dj98+blhgnXvMXhu8ts27/tfP5A/ffa7uA32x3zZx7E+WnGyN53smfz7sRPBEBBBBAAAEEEEAAAaUChN9KG0fZCCCAAAIIIICA3wXShd/pPpYu/DYB8ffPOTlxxbi5Wnz12g3drqmdvMRKPDCOB9ljTjlWkoPtbMJv05v4MiyvvLFCxk2e3SXMNh+bu2BJYpt4qG1CcrMv80itOXWe761c5YTps6af74To8TGS5+33Y4T5IYAAAggggAACCCDQkwDhN8cHAggggAACCCCAgCcFulvz2xSbHBJ3d+V38s0jU8Pm1AmnXsEd/7wJoM3DLLuSy5XfyQF5uuelfizdsicm3L5q1kK5cfr50n+HWpl+00KZMmlsYq3zeEAer4+lUzx5GFMUAggggAACCCCAQBEFCL+LiM+uEUAAAQQQQAABBLoX6G7Zk9Qrsv0aficH5P379emyZEqyWvxKb8JvvpoQQAABBBBAAAEEEOgqQPjNEYEAAggggAACCCDgSYHuwm9TbHLQ++Sfl8my195JLGmSLgTWeOV3avgdvwp876GD0vaL8NuThzFFIYAAAggggAACCBRRgPC7iPjsGgEEEEAAAQQQQKB7gZ7C7+T1sP0afqcue5J6s81UOcJvvpoQQAABBBBAAAEEEOgqQPjNEYEAAggggAACCCDgSYHuwu/4jR4nnXuqc3PIQi170t3NNs3NNeNrkGezvrfBzrTmd7p9mcD/iT+/JAvmXJ5Y99tc0f7RqrVpHTzZVIpCAAEEEEAAAQQQQKCAAoTfBcRmVwgggAACCCCAAALZC/R0w8v7502TEQcPcwYrVPidHFq/tfx9Z9/TL/6WvPnOezLykOFOAN2b8NuE6MmP+FreyR8zc03ebteBAxJhOFd+Z39ssSUCCCCAAAIIIIBAMAQIv4PRZ2aJAAIIIIAAAggggAACCCCAAAIIIIAAAggESoDwO1DtZrIIIIAAAggggAACCCCAAAIIIIAAAggggEAwBAi/g9FnZokAAggggAACCCCAAAIIIIAAAggggAACCARKgPA7UO1msggggAACCCCAAAIIIIAAAggggAACCCCAQDAECL+D0WdmiQACCCCAAAIIIIAAAggggAACCCCAAAIIBEqA8DtQ7WayCCCAAAIIIIAAAggggAACCCCAAAIIIIBAMAQIv4PRZ2aJAAIIIIAAAggggAACCCCAAAIIIIAAAggESoDwO1DtZrIIIIAAAggggAACCCCAAAIIIIAAAggggEAwBAi/g9FnZokAAggggAACCCCAAAIIIIAAAggggAACCARKgPA7UO1msggggAACCCCAAAIIIIAAAggggAACCCCAQDAECL+D0WdmiQACCCCAAAIIIIAAAggggAACCCCAAAIIBEqA8DtQ7WayCCCAAAIIIIAAAggggAACCCCAAAIIIIBAMAQIv4PRZ2aJAAIIIIAAAggggAACCCCAAAIIIIAAAggESoDwO1DtZubEvlkAAANOSURBVLIIIIAAAggggAACCCCAAAIIIIAAAggggEAwBAi/g9FnZokAAggggAACCCCAAAIIIIAAAggggAACCARKgPA7UO1msggggAACCCCAAAIIIIAAAggggAACCCCAQDAECL+D0WdmiQACCCCAAAIIIIAAAggggAACCCCAAAIIBEqA8DtQ7WayCCCAAAIIIIAAAggggAACCCCAAAIIIIBAMAQIv4PRZ2aJAAIIIIAAAggggAACCCCAAAIIIIAAAggESoDwO1DtZrIIIIAAAggggAACCCCAAAIIIIAAAggggEAwBAi/g9FnZokAAggggAACCCCAAAIIIIAAAggggAACCARKgPA7UO1msggggAACCCCAAAIIIIAAAggggAACCCCAQDAECL+D0WdmiQACCCCAAAIIIIAAAggggAACCCCAAAIIBEqA8DtQ7WayCCCAAAIIIIAAAggggAACCCCAAAIIIIBAMAQIv4PRZ2aJAAIIIIAAAggggAACCCCAAAIIIIAAAggESoDwO1DtZrIIIIAAAggggAACCCCAAAIIIIAAAggggEAwBAi/g9FnZokAAggggAACCCCAAAIIIIAAAggggAACCARKgPA7UO1msggggAACCCCAAAIIIIAAAggggAACCCCAQDAECL+D0WdmiQACCCCAAAIIIIAAAggggAACCCCAAAIIBEqA8DtQ7WayCCCAAAIIIIAAAggggAACCCCAAAIIIIBAMAQIv4PRZ2aJAAIIIIAAAggggAACCCCAAAIIIIAAAggESoDwO1DtZrIIIIAAAggggAACCCCAAAIIIIAAAggggEAwBAi/g9FnZokAAggggAACCCCAAAIIIIAAAggggAACCARKgPA7UO1msggggAACCCCAAAIIIIAAAggggAACCCCAQDAECL+D0WdmiQACCCCAAAIIIIAAAggggAACCCCAAAIIBEqA8DtQ7WayCCCAAAIIIIAAAggggAACCCCAAAIIIIBAMAQIv4PRZ2aJAAIIIIAAAggggAACCCCAAAIIIIAAAggESoDwO1DtZrIIIIAAAggggAACCCCAAAIIIIAAAggggEAwBAi/g9FnZokAAggggAACCCCAAAIIIIAAAggggAACCARK4P8BxU4PLYNdFOAAAAAASUVORK5CYII=",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "f9e05960-371d-44e3-bc68-c31fb7fa606c",
"metadata": {},
"source": [
"#### Note how the curve is flatter still - and even beginning to lose shape at the boundary "
]
},
{
"cell_type": "markdown",
"id": "524b10e8-7eba-4b3e-a26b-11044d76aeb3",
"metadata": {},
"source": [
"## Do 800 more rounds of diffusion - to time t = 10000"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "86388457-bd86-43ec-8b05-78d1fe220484",
"metadata": {},
"outputs": [],
"source": [
"for i in range(800):\n",
" bio.diffuse(total_duration=10, n_steps=20) # Note how we're gradually increasing the time steps, because the gradiants are now smaller\n",
" frequency_data = bio.frequency_analysis(species_name=\"A\")\n",
" ratio = frequency_data.loc[2, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n",
" bio.add_snapshot(data_snapshot={\"ratio\": ratio})"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "f123d146-68bd-416a-b94b-dd2b5ad9ad81",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.332297 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.331275 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.330264 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.329262 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 996 | \n",
" 9960.0 | \n",
" 0.062422 | \n",
" | \n",
"
\n",
" \n",
" | 997 | \n",
" 9970.0 | \n",
" 0.062358 | \n",
" | \n",
"
\n",
" \n",
" | 998 | \n",
" 9980.0 | \n",
" 0.062295 | \n",
" | \n",
"
\n",
" \n",
" | 999 | \n",
" 9990.0 | \n",
" 0.062232 | \n",
" | \n",
"
\n",
" \n",
" | 1000 | \n",
" 10000.0 | \n",
" 0.062168 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
1001 rows × 3 columns
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
33.971876882273264,
33.971373179256986,
33.97036589085252,
33.9688552523018,
33.96684161643216,
33.964325453613505,
33.96130735170122,
33.957788015964596,
33.95376826900068,
33.94924905063352,
33.944231417798505,
33.93871654441182,
33.93270572122465,
33.92620035566205,
33.91920197164614,
33.91171220940358,
33.90373282525682,
33.89526569139897,
33.88631279565206,
33.876876241208194,
33.866958246353434,
33.85656114417395,
33.845687382244144,
33.83433952229632,
33.822520239871565,
33.81023232395135,
33.79747867656951,
33.784262312404145,
33.770586358348964,
33.75645405306365,
33.74186874650282,
33.726833899423,
33.71135308286726,
33.69542997762693,
33.67906837367988,
33.66227216960501,
33.645045371972266,
33.62739209470778,
33.60931655843356,
33.59082308978134,
33.5719161206798,
33.552600187615,
33.53287993086322,
33.51276009369582,
33.4922455215556,
33.47134116120416,
33.45005205983962,
33.42838336418449,
33.40634031954289,
33.383928268826836,
33.361152651550974,
33.33801900279552,
33.31453295213665,
33.29070022254413,
33.26652662924567,
33.24201807855756,
33.21718056668127,
33.19202017846553,
33.16654308613357,
33.14075554797513,
33.11466390700303,
33.08827458957374,
33.06159410397198,
33.03462903895868,
33.00738606228248,
32.97987191915417,
32.9520934306841,
32.92405749228224,
32.89577107202079,
32.867241208959264,
32.838475011431825,
32.80947965529687,
32.78026238214879,
32.750830497491926,
32.72119136887663,
32.691352423997635,
32.66132114875461,
32.63110508527515,
32.60071182990026,
32.57014903113256,
32.539424387547264,
32.5085456456664,
32.477520597796286,
32.44635707982877,
32.415062969006364,
32.383646181651876,
32.352114670862676,
32.320476424170295,
32.28873946116558,
32.256911831090164,
32.225001610394564,
32.193016900263615,
32.16096582410986,
32.12885652503547,
32.09669716326343,
32.06449591353876,
32.032260962500374,
32.00000050602454,
31.967722746540694,
31.93543589032045,
31.90314814474072,
31.87086771552192,
31.83860280394218,
31.80636160402853,
31.774152299726207,
31.741983062047005,
31.70986204619789,
31.677797388690955,
31.64579720443586,
31.61386958381599,
31.582022589749545,
31.550264254736803,
31.518602577894846,
31.487045521981045,
31.45560101040669,
31.424276924242054,
31.393081099214363,
31.36202132270001,
31.33110533071252,
31.300340804887703,
31.269735369467433,
31.239296588283676,
31.20903196174415,
31.178948923821288,
31.149054839046002,
31.119356999507843,
31.08986262186314,
31.060578844352808,
31.031512723831312,
31.00267123280858,
30.974061256506396,
30.945689589931014,
30.91756293496362,
30.889687897470345,
30.86207098443348,
30.83471860110564,
30.807637048188507,
30.780832519037922,
30.754311096896938,
30.728078752158623,
30.702141339660248,
30.676504596010577,
30.651174136951965,
30.626155454758916,
30.601453915674824,
30.577074757388523,
30.553023086552365,
30.52930387634343,
30.50592196406952,
30.482882048821576,
30.460188689174153,
30.43784630093548,
30.415859154948752,
30.394231374946198,
30.37296693545745,
30.352069659773733,
30.331543217969415,
30.31139112498233,
30.29161673875435,
30.27222325843368,
30.25321372264014,
30.234591007794958,
30.21635782651629,
30.198516726081824,
30.18107008695974,
30.16402012140924,
30.14736887215189,
30.131118211114895,
30.11526983824748,
30.099825280411448,
30.084785890346968,
30.070152845714635,
30.055927148214728,
30.042109622784643,
30.028700916875355,
30.01570149980779,
30.003111662209868,
29.990931515534985,
29.979160991662685,
29.96779984258209,
29.95684764015882,
29.946303775985847,
29.93616746131891,
29.926437727096868,
29.917113424047475,
29.908193222878893,
29.8996756145573,
29.891558910670806,
29.883841243879942,
29.87652056845485,
29.869594660899256,
29.863061120661325,
29.85691737093139,
29.851160659526464,
29.84578805986142,
29.840796472006758,
29.83618262383265,
29.831943072239017,
29.828074204471356,
29.824572239521842,
29.821433229615398,
29.8186530617801,
29.816227459501526,
29.814151984460295,
29.812422038352295,
29.811032864790782,
29.80997955128966,
29.809257031327093,
29.808860086488636,
29.80878334868892,
29.809021302470946,
29.80956828738201,
29.81041850042513,
29.811565998584882,
29.81300470142656,
29.81472839376729,
29.816730728417983,
29.81900522899477,
29.821545292798533,
29.82434419376119,
29.827395085457262,
29.830691004179243,
29.834224872075236,
29.83798950034732,
29.84197759250899,
29.84618174770006,
29.850594464057313,
29.855208142139208,
29.860015088402843,
29.86500751873141,
29.870177562010277,
29.875517263749884,
29.88101858975351,
29.886673429828022,
29.892473601535613,
29.8984108539846,
29.904476871657227,
29.910663278272466,
29.91696164068174,
29.923363472795543,
29.929860239538748,
29.936443360832634,
29.943104215601345,
29.94983414580074,
29.956624460467395,
29.963466439785627,
29.970351339170314,
29.977270393363277,
29.984214820541112,
29.99117582643212,
29.998144608440192,
30.00511235977343,
30.01207027357517,
30.019009547055266,
30.025921385619373,
30.032797006993963,
30.039627645344854,
30.046404555387063,
30.053119016483695,
30.05976233673171,
30.06632585703229,
30.07280095514374,
30.07917904971457,
30.08545160429471,
30.0916101313227,
30.097646196086615,
30.103551420656718,
30.109317487787692,
30.114936144788334,
30.12039920735674,
30.125698563378847,
30.130826176688394,
30.135774090786285,
30.1405344325174,
30.145099415702933,
30.14946134472635,
30.153612618071104,
30.157545731808273,
30.161253283032323,
30.164727973243217,
30.167962611673158,
30.170950118556263,
30.17368352833951,
30.17615599283335,
30.178360784300423,
30.180291298480782,
30.18194105755224,
30.183303713024287,
30.18437304856423,
30.185142982754197,
30.18560757177766,
30.18576101203423,
30.185597642681522,
30.185111948102886,
30.18429856029988,
30.183152261208463,
30.18166798493781,
30.17984081993085,
30.177666011045524,
30.175138961555973,
30.172255235072804,
30.16901055738161,
30.165400818199164,
30.16142207284648,
30.15707054383823,
30.152342622387938,
30.14723486982842,
30.14174401894707,
30.135866975235558,
30.129600818053653,
30.12294280170682,
30.115890356437397,
30.1084410893292,
30.10059278512537,
30.09234340695945,
30.083691096999637,
30.074634177006267,
30.065171148802648,
30.055300694659287,
30.045021677591844,
30.034333141572944,
30.02323431165821,
30.01172459402685,
29.999803575937182,
29.987471025597575,
29.974726891953285,
29.96157130438975,
29.948004572352914,
29.934027184887277,
29.919639810092296,
29.904843294497912,
29.889638662359996,
29.87402711487651,
29.858010029325268,
29.84158895812421,
29.824765627815143,
29.80754193797196,
29.78991996003432,
29.771901936067945,
29.753490277452546,
29.73468756349864,
29.715496539994344,
29.69592011768343,
29.67596137067582,
29.655623534791953,
29.634910005842105,
29.613824337842267,
29.59237024116777,
29.570551580646125,
29.54837237359053,
29.525836787775457,
29.502949139355795,
29.479713890731098,
29.456135648356415,
29.43221916050124,
29.40796931495818,
29.383391136702883,
29.358489785506855,
29.333270553504704,
29.30773886271755,
29.2819002625341,
29.255760427151152,
29.229325152975072,
29.202600355986036,
29.175592069066553,
29.148306439296086,
29.12074972521335,
29.092928294048,
29.064848618923428,
29.03651727603228,
29.007940941786448,
28.979126389943133,
28.95008048870877,
28.92081019782234,
28.891322565619873,
28.861624726081708,
28.83172389586419,
28.801627371317426,
28.771342525490766,
28.740876805127588,
28.71023772765097,
28.679432878141917,
28.648469906311608,
28.617356523469326,
28.586100499487507,
28.554709659765493,
28.523191882193487,
28.491555094118137,
28.459807269311273,
28.42795642494317,
28.3960106185618,
28.363977945079416,
28.331866533767858,
28.299684545263904,
28.267440168585992,
28.235141618163546,
28.202797130880242,
28.17041496313234,
28.13800338790338,
28.105570691856308,
28.07312517244423,
28.0406751350409,
28.008228890091974,
27.975794750288088,
27.943381027760786,
27.910996031302247,
27.878648063609766,
27.846345418555885,
27.814096378485072,
27.781909211537748,
27.74979216900251,
27.71775348269732,
27.68580136238032,
27.653943993191106,
27.622189533123006,
27.590546110527082,
27.559021821648393,
27.52762472819512,
27.496362854941083,
27.465244187362096,
27.434276669306705,
27.40346820070165,
27.372826635292498,
27.342359778419784,
27.312075384831008,
27.28198115652874,
27.25208474065513,
27.222393727413046,
27.192915648024027,
27.163657972723207,
27.1346281087914,
27.10583339862435,
27.077281117839316,
27.048978473419027,
27.020932601892934,
26.993150567555865,
26.965639360723994,
26.93840589602803,
26.911457010743593,
26.884799463158636,
26.858439930977767,
26.8323850097633,
26.806641211412916,
26.7812149626736,
26.75611260369179,
26.73134038659931,
26.70690447413498,
26.68281093830151,
26.659065759057427,
26.635674823043654,
26.612643922344525,
26.589978753282708,
26.56768491524786,
26.545767909558464,
26.524233138356575,
26.503085903535037,
26.48233140569671,
26.461974743145383,
26.442020910907853,
26.422474799786762,
26.403341195443787,
26.384624777512656,
26.366330118741615,
26.348461684164835,
26.331023830302314,
26.314020804387813,
26.297456743624387,
26.281335674466998,
26.265661511931782,
26.250438058931515,
26.23566900563681,
26.22135792886258,
26.20750829147934,
26.19412344184889,
26.18120661328397,
26.168760923531405,
26.156789374278368,
26.145294850681324,
26.134280120917264,
26.123747835756802,
26.1137005281588,
26.104140612886138,
26.095070386142208,
26.086492025227894,
26.078407588218614,
26.07081901366113,
26.06372812028986,
26.05713660676235,
26.051046051413635,
26.0454579120293,
26.04037352563691,
26.035794108315613,
26.031720755023773,
26.02815443944433,
26.02509601384781,
26.022546208972805,
26.02050563392374,
26.018974776085898,
26.01795400105753,
26.01744355259902
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Diffusion. System snapshot at time t=10000.000000000793"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
25.57553058983934,
34.413789845032944
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "iVBORw0KGgoAAAANSUhEUgAABb8AAAFoCAYAAAB38YZnAAAAAXNSR0IArs4c6QAAIABJREFUeF7svQuMXdWZqPmfZ1X57bKxjcEPzMtvjI3B+AVJ7kzfocXtFlK4tNKa5NJDIzOjVggyshP1ZJhWYwQiRD13giwrJHekKFwicdUXhXTrhg7xC4OxMRhsE8BgAwYb/AA/ynWeo7VP7fI5p/apOvuctfdea5/vIKuqTq39r399/6pTxVer/p0ol8tl4QEBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQiBGBBPI7RtVkKRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIOAQQH6zESAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R27krIgCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQQH6zByAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB2BJDfsSspC4IABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHkN3sAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEYkcA+R1RSX+y+Tn5+a9fdGb/82+tkEfW3ys93Vlp9HxEaTItBNomoPb0a/sOydOPPSgTx49tOx4BIAABCEAAAhCAAAQgAAEIQAACEIAABCDQDAHkdzOURKTvYk5+/MQz8tuXdg25YtG8OQ3FnhJ/L/7bq7L58Yfk6lnTnWsbycAwJOHzL26Vv3/8GfnlTzfI8iVzm1x9OMNOf3VW1m14SvYfPFwzYfUvB3Rnonj87L/8c019dM/R6fGC2NdBxHTr5Df2B0eOyf0PPykPfPcv5K471taU28Svt+Hy1bFX3dfKFcvmD+Hhxvf6Wv+Hh+/1HL973yH53vcfG0zt8qmTGn69urzdwcO9NvsZ24hLszG8vn/8zV/dIT+4/+4hoYNiEwTHKNfl7uPPjp9suG3rv8/V16vR95Z6VmqCIL8P6fi6IwYEIAABCEAAAhCAAAQgAAEIeBNAfje5M9z/yVfD3VPa1bJMneL2khn18tsVG3ffeXuN6Gn0fJPpNT3MRBmnkndlQz1DV3BM7h0fyMlh5HfTW6flgX5lcjMTBRGz+uvZz0l15HdtxdzXmEYy232tu3nJ3EH524ih+7pQLTEbfc16Pd9on/gZO5z4rv/Fmdd8Xt87vBioeYJiEwRHE9bVqDb1dXBzPXrsxOD3EZe1ilH9Vykuq+r922hsM69VjIEABCAAAQhAAAIQgAAEIACBaAkgv5vkP5z8Hk7e1oePWn43udxQh43EViXzq+f/h9zxrRXa22Ygv4MvdRCiOoiYQcjv4On6nyGok9/VLZtUVo3kt/qae+6Fl4f8Mqv+efd1YdqU3poT0l7P+3ld9TO2EV0/MZRM3bhpy5DT6l7PB8EmKI5Rr6tRbbz2d6PXea+xal3qUf+XUXyv8P9awxUQgAAEIAABCEAAAhCAAARMIID8brIKzQjakVqcnDpz1mmPUP9n2v+44X+T//yL/zbkeXXasXfiOOeaTRvvq/mf8UbypV5A1f/Z/3CnJlU7FPfh9SfernB8dON98sNNWwbbk7T75+CNTkF6lWa4sV6f8/rzdfcUaf2fwLvzVZ8y9WpB4PWn9Erm1XNx2dfXfbhWDPVr9vrT/mqpWC1v1LXVNazP04uFuqZ+nJ+YXm0P6veD330zUmuC+j2u1jBcKwz1+UZti7xydXvxu7UYLnaj1gvuXzA0OmH8+YlT8r/e/Wfy/f/zPw9+3bu5vH3ocE2bj0ZfXyNx8vr6GSnfJl8Ohx02nFwf7nW0/nTycHHqf/nhdbK5uu7qffcvdvyMbbRQPzEa/aKmfn1BsQmKY9TralQbr7wa5drM93V3HuS3jlcHYkAAAhCAAAQgAAEIQAACEAifAPK7SebN/E+y159L1/9Pt58Tgyo1V1w0I78b/al3tfhp5s/9vf5EXMVwpWO1vPUjrhuhrhaTzfQibyQh6k8iNvOn/sMJDa96NjpVqKSzFxfVv7xVXo1OJar+xy6naplZLcW91qXWs+3Vt2pO0XoxahSzfmyzbQ/87Jtm2hW4e9FPaxKV6xNPPyvfuevfDfbeb/Q17fdU+UhtT7xaYyjBXi21q5l7PV/dT3y4r89mmAyXb6O++/Vfu8P9AqeZ+NUtT9zY9dc1EsxqfP3+Hu7ruL6efsY2es1qNkZ3V5dzr4jq12A3Zv1r53Cvpe2wCYKjCevyqk2jvTfc13QzX+9e3wua/NGBYRCAAAQgAAEIQAACEIAABCAQMQHkd5MFaEZ+u//jfcc3bxkUjGHJ7+HEyb++/JqsXbFEerqzQ6RRIzHiFW+4/rlebQyaROsMayTdvPqoe/0Cwas+jfJ9+90Ppae7y5GgjSRWo1YBXuK12VYFLo9G4+t5Dfen+n0X+2Xh9VcN/nKk/maLzfaQ91pnI4FUz/jY8S89b/Soxm3dtU/+7PabnSU1u2907EU/e06N9Wrd0IwMq56nFfmtTn573TugmecbtZtotp1Js+P8snTHI7+fE/eXECZI4k6S3356vLv7daRT4eom137+WqfVrxuugwAEIAABCEAAAhCAAAQgAIFgCCC/m+RquvyuPj3dqNeuWqrXiUkvce1HJuv+c3Cvthb1ErxeWHidkHfbQgzXlmWkXrD1J+69hGlQ8tuVVq2csh3phnrqRHr1o5pvs20S1PXrNjzltL8Z7sR+s0KqEUc/e3GkL2evVjf1bU1Ml98qPy9JPtwvbJqV9SPxa+bzyG/kt3pdcE/3B3WivX4vDnc6281h5vQpNb90cvfqSDdUbnR9M18PjIEABCAAAQhAAAIQgAAEIACBaAkgv5vk34z8jrrtiVdf43qxVy97/fw5eLMSs0mkTQ9zZXi1YK2X3Y2EoJfsHKk9iCu4VXuRRo9qrkHJ70Z5NCOqvYSTy6L6ej8nv91fnlT/ssTrxH69rG923+jYi43q5eb55amvam48aNvJb7U+1UZDnUZt9PD6a4lm5TdtTy6J64njxzZkTNuT6Nu5VBenUSsgrzHVXztrblnsDBk3ZtSQv8SoL/5wJ+ib/mbGQAhAAAIQgAAEIAABCEAAAhAInQDyu0nkzchvJe9e/LdXa+RaWG1PvJbhdarNhpPf9WsZro+rOgH74N9+Wx78v/5feej+u2tuClofx6u3eCsnv+vjBim/6+dyfxHgCvxGbJrtJ+xXfo90KtoVRNWn7ZuV30Ge/G62T7ziPdIam92fatxwN7xste1Jo1/0NPlS1rBVTrPXjzSOG17W9vhutJ+44WWl7ZDXPQzq2ziN9HXZak/uZttDqfmDbhc00tcVn4cABCAAAQhAAAIQgAAEIACB1gggv5vkNpL8bvZGW63e8HKkns4qrmo/sXbFDTUrGunGcDr6LLfb9kTl/uJLu+Q7d/1PntVolKN7alet+cCfPpKnH3tQqk9rVvc6dwN73Thu46YtNb+wUGP93MgzKPm9ddebTq/Z6jXV59Ws/B6pj/e0Kb2DfeqbHavGub3HqwtXL/uald9+9mKzfdPdvBrl4HXy22/s4QRaEPJbx9ebaktx9523y113rG3yFbD5YSNJwma/Xhq1cfF63s/rqp+xjVbtJ0ajHu1+9l49Mz9s/Iy1aV1ubZo59d2ojl578VfP/w+541sral531fWc/G7+NYCREIAABCAAAQhAAAIQgAAETCKA/G6yGsPJb/c0rle7gXZPfnvNW92awD0B7CVrva5tJOOqT6w3kgnNSsxqUTBSC4Zq0ezVO9oVDl5xRupz7pVv/fqHE3WN5lasN/3Tr2Tj333HESTNyjx3qzUrV71q1exJyfr94LUXqvk100ql/i8bvNj5vVHqz/7LPw/5S4lm9qJfEeU13n2uvjWQ39jDvTYEIb/d+fa+/d6QX9qo+dRjOKk90i/ymnxJbDhsJPnttUcaXeNVi0byvxFr9+aT1b9EanbsSKy99m/9fMO9hrt9sV2YQbEJgqMJ66r+XjPcvS68NqvXX2qpccO12Vq68NoR26O0+/XD9RCAAAQgAAEIQAACEIAABCCglwDyu0meXv203UuHuyFhu/K7Xg6rj9V8j268T364aUvN6U1XIH12/OTgquql8XDi6O8fr/y5vnp43SQyKPmt5mvEt15M1pdrOJHsFdOrVq4YcmNX9xZv1AO5vm+4101D/UrxRoLm579+cfBT9TyaPfntxVjF+un//X/I//fcv4rXye/qfeTuu/rT9fXs1Lh6CeVn36jr3d7kw+3F+nEj7RM1vj5X9bWhev56nfyvzqGZ2PX7xP26C0J+u1zqOTWqkde+apRvky+HnsO8blTbKCevr6tGN02tr9twr7fN7p1m99lw8rvZGI1e3xrJ2qDYBMHR6zU2zHX5uRFl/d4Y7hezXnvZr1xv52uJayEAAQhAAAIQgAAEIAABCEBAHwHktz6WRAqZgJ/WJCGnZvV0I53ctXpxJA8BCEAAAhCAAAQgAAEIQAACEIAABCDQMQSQ3x1T6vgttN3ex/EjomdFyG89HIkCAQhAAAIQgAAEIAABCEAAAhCAAAQgEC0B5He0/Jm9RQKc+m4RXBOXIb+bgMQQCEAAAhCAAAQgAAEIQAACEIAABCAAAeMJIL+NLxEJQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgF8CyG+/xBgPAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACxhNAfhtfIhKEAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABvwSQ336JMR4CEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAASMJ4D8Nr5EJAgBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJ+CSC//RJjPAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCBhPAPltfIlIEAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABPwSQH77JcZ4CEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQMJ4A8tv4EpEgBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEI+CWA/PZLjPEQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCBgPAHkt/ElIkEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhDwSwD57ZcY4yEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMB4Ashv40tEghCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIOCXAPLbLzHGQwACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgPEEkN/Gl4gEIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAwC8B5LdfYoyHAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAAB4wkgv40vEQlCAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAXwLIb7/EGA8BCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALGE0B+G18iEoQABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAG/BJDffokxHgIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABIwngPw2vkQkCAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAn4JIL/9EmM8BCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIGE8A+W18iUgQAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE/BJAfvslxngIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhAwngDy2/gSkSAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQj4JYD89kuM8RCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIGA8AeS38SUiQQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEPBLAPntlxjjIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAwHgCyG/jS0SCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4JcA8tsvMcZDAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICA8QSQ38aXiAQhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEDALwHkt19ijIcABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAHjCSC/jS8RCUIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIBfAshvv8QYDwEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAsYTQH4bXyIShAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAb8EkN9+iTEeAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEjCeA/Da+RCQIAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACfgkgv/0SYzwEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQgYTwD5bXyJSBACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAT8EkB++yXGeAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEDCeAPLb+BKRIAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCPglgPz2S4zxEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgYDwB5LfxJSJBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ8EsA+e2XGOMhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEDAeALIb+NLRIIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDglwDy2y8xxkMAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIDxBJDfxpeIBCEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMAvAeS3X2Ie44+d7NMQhRA2Epg8rku+7stLLl+yMX1y1kBg+qQe4TVAA0hLQ2TTSRk3OiNfftVv6QpIu10CY3rSkkgk5OyFfLuhuN5SApPGdcm5vrz087OApRVsP+3Le3vk81N9Um4/FBEsJJBJJWTCmKx8wc8CFlZPT8pjutOSTCbka34W0APUwii9Y7Nyob8oF3NFC7Mn5XYIKB/Aw3wCyG8NNUJ8aYBoaQjkt6WF05g28lsjTAtDIb8tLJrmlJHfmoFaGA75bWHRNKeM/NYM1LJwyG/LChZAusjvAKBaFhL5bVnBNKaL/NYIM8BQyG8NcJHfGiBaGgL5bWnhNKaN/NYI08JQyG8Li6Y5ZeS3ZqAWhkN+W1g0zSkjvzUDtSwc8tuyggWQLvI7AKiWhUR+W1YwjekivzXCDDAU8lsDXOS3BoiWhkB+W1o4jWkjvzXCtDAU8tvComlOGfmtGaiF4ZDfFhZNc8rIb81ALQuH/LasYAGki/wOAKplIZHflhVMY7rIb40wAwyF/BaRn2x+Tn7+6xcHMf/ypxtk+ZK5Q7Dv3ndIvvf9x6T+88jvAHeo4aGR34YXKIT0kN8hQDZ4CuS3wcUJKTXkd0igDZ4G+W1wcUJKDfkdEmhDp0F+G1qYENNCfocI29CpkN+GFiaEtJDfIUDWMEXHy+/TX52VXzz7O1n33b+Unu6sfHDkmPxo0xb5x433ydWzpg8idsW3egL5rWHnxSQE8jsmhWxjGcjvNuDF4FLkdwyK2OYSkN9tAozB5cjvGBSxzSUgv9sEaPnlyG/LC6ghfeS3BoiWh0B+W17ANtJHfrcBL8RLO15+17NWMnzdhqfkofvvHjz9rYT4Ez97Vh7+3/9KfrhpS83n1PWc/A5xxxo2FfLbsIJEkA7yOwLoBk2J/DaoGBGlgvyOCLxB0yK/DSpGRKkgvyMCb8i0yG9DChFhGsjvCOEbMjXy25BCRJAG8jsC6C1Mifyug6ZOeG/ctEU2P/6Qc/K7+iR474SxQ8S4uvzzU30toOeSOBDoHdslZy/mJZ8vxWE5rKEFAtN6ezr8NSAhkmgBXEwuyaaSMnZUWk6ezcVkRSzDL4HR3WlJJETO9RX8Xsr4WBAoi/pZ4HxfQfoL/CwQi5K2sIipE7rlxJmLUm7hWi6xn4CS3+NHZeTLTvxZwNn07PzRXWlJJhNyti9v/4ZmBS0RmDAmK325ovTnii1dz0X2ElA+wMSHcptPbn5Onn7sQZk4fqyJKTaVk9cB5aYurBuE/B4AoiT3/Q8/KZ8dPznY1kRB3vjoFln/wD2OCPeErv6Pt7tbJJsd/Ffu6qq8n7n0nDjPZWrGqefKVdc513R1SSI7cP3Ax+r5mnEqVk+PyNgxUp52ucj0S+1ZWtkEXNM6gWRCpFzmR77WCdp/ZSqZkGKpc3/oLxRLkkkl7S9kqytQ7j+RkHIH74FW0cXlOvVjgPoNUFl9M+DRcQTyxbKovwApK/nDFui4+rsLVtKrxPeBjq2/810g2Zk/C+SLJUl38s+BA7u+8rNA5f8LeXQmAbxAZ9ZdrVr5gCgefRdz8uMnnpHfvrSrZvp/ePheueuOtRKl/H7+xa3y3AsvaxHvyO+Adlc12N6J4waFeP10g32/3e90AeXTbNjS+PFSmjhJSpMnS2nceCn19kp5Qq+UJk2S0sTeyr9Jk6U0YYKUJ06sjB03rtnwjGtAgLYnbA3annT2HqDtSWfXX62etifsAdqesAdoe9LZe4C2J51df+dnge7Kye+vL3Dyu1N3A21POrXyIlG0PXEP797xzVvkB/ffPQi/+gDvqdNfc/K7alty8tvja/Qnm5+T2TOmOb8tqX40+o3DZ5+clEQuL5LPSaK/XxL5nEgu77xN5NT7/ZIoFCXRf1Ekp57rvzRefd65Lle5Lp8X6b946WM1fjBOJZ4TM5+T5KlTkjr+uSRPftnyK40jxHuVHFeSfGLl/Qm9Uh6U5uq5ijR3BLqS6j2jWp4vbhciv+NWUf/rQX77ZxanK5Dfcapma2tBfrfGLU5XIb/jVM3W1oL8bo1bXK5Cfselkq2vA/ndOru4XIn8jksl/a8jbPntnvieNqW3RnzXZ+6e/Fb3M1StnVWXC/UYPMg7cEF1Fwz11N/81R2DcV0H+p/+47+XX/zXf5H9Bw87V6nT5TcsuKbmsHB1XHXye9eeA/LI+nulpzvrXFM/z6J5c5yT4eqh7rvoxm6UQ/V9Gf1XSaTj5bcqwEvb9sjf/vWdNQXZtPG+wRteumAbyW8TbnipBLiS4ckzpypvT1f+JdT7p05K8vRpSZ5231bGJPoutLJnnGuK0y4fOE0+SUqXTZXi1GlSuuIKKc6YJYVZs523SpjH/YH8jnuFR14f8ntkRnEegfyOc3WbWxvyuzlOcR6F/I5zdZtbG/K7OU5xHYX8jmtlm18X8rt5VnEdifyOa2VHXlfY8tuVyF7OsjpbJb+/9/3H5M+/tWJQQte3I6m+x6Fq9Vwv1l0HquK6vcPduK68Vv3E61us1Mtvr5z/9eXX5JqrrhR1b8VfPPs7Wffdv3REuTvn3Xfe7hxIpu3JyHuwqRFefXLqfxNig/xuarEeg1KffzYoyi9J89OSOOXK9NOScMW5Oml+4njTU5XHjpXCrKukOHOWFGbOltKsytvijJmOIC+PHtN0LFMHIr9NrUx4eSG/w2Nt4kzIbxOrEm5OyO9weZs4G/LbxKqEmxPyO1zeps2G/DatIuHng/wOn7lpMyK/TatIePmELb+VaFYnuTc//pBzb8JGD6+e3/Wy26vxILG0AAAgAElEQVTrRfV1KrY6lV196tpLRtc/Vy+/1TzqUd2iZbgKqes/+vhzZzzyO7y9POJMJpz8HjFJjQMS589dOl1+8qTTesVpv/LJUUkd+UjSHx+R1NGjlTYvwzxUm5XirKukMGOmFAdOi6u3hRmzpDhrlpS7zbxrbvWSkN8aN5aloZDflhZOU9rIb00gLQ6D/La4eJpSR35rAmlxGOS3xcXTkDryWwNEy0Mgvy0voIb0kd8aIFoawlb5PX3qZM8bZqoy1LckaUd+q3jqxpzfvvP2Id013JLXt0RRz7sn1i/29w8R8K1slY5ve9IKtPprOk1+N8tMnRJPHVUi/CNJHz0qySMfVsT4kSOS+vTjSu/y4eT4ZVMGW6gUZs2S0szZlZPjM2dK8cqZUs5WegdF+UB+R0nfjLmR32bUIaoskN9RkTdnXuS3ObWIKhPkd1TkzZkX+W1OLaLIBPkdBXWz5kR+m1WPKLJBfkdB3Yw5w5bfftqePLn5ucF2JYpW9clvV36vWDZ/yP0OXbLNnPJWY4c7+a0+P5z8Vqe8//7xZ2p6kVefHEd+m7HPnSyQ360VI/XpJ5L6+IiklQx3pPiHzonx9NGPJPXx0RGDqr7jlZPjM6SopLg6PT7rKskvXBxav3Hk94hliv0A5HfsSzzsApHfnV1/tXrkN3sA+c0eQH539h5Afnd2/Z2fBbrTkkwm5OsLeWB0KAHkd4cWXkTClt8j3fDS7aV96vTXMpz8Vi1TRmpHokN+qz7ew83j1XoF+W3o1xPyO5jCuCfG1VvVTqXm48+ODTtp8coZjgTPz50vhfkLpHD9PMkvWKQ9UeS3dqTWBUR+W1cyrQkjv7XitDIY8tvKsmlNGvmtFaeVwZDfVpZNW9LIb20orQ2E/La2dNoSR35rQ2ldoLDltwLknv6+45u31PTRViL5xX971ekH3oz8dm9e+Q8P3zt4+lsJb/cGlF6nrpsR4vU9v915qu+v6Er6f/6X7fL5iVODN+V017Z04bXOc5z8NuhLAvkdTTHSh9+X1McfS/rIh5I8qk6QfyTpDz+QzL69DRNSArxw3VxHiDvvXz/XuSlnqw/kd6vk4nMd8js+tWxlJcjvVqjF6xrkd7zq2cpqkN+tUIvXNcjveNXT72qQ336JxW888jt+NfW7IuS3X2LxGR+F/Fb03BPgv31p1yBMt1f3xPFjpZkbXlaL9M+OnxyM48rwZkS3umikG16qMa4Adydxc+3u6qrpPa56fS+ef7W8deAD5LdpXybIb9MqIpJ5Z79kDrwjqXcPSubQAUkfOijpjw57JqpurJlfOCDFFyyU/NwFUpg3X4pTpo64MOT3iIhiPwD5HfsSD7tA5Hdn11+tHvnNHkB+sweQ3529B5DfnV1/52cB2p50/CZAfnfuFohKfncu8dZWzg0vW+NWcxXyWwPEEEIkcv2S/tO7kjl0UFKHDkjm3YMVKX7kQ5FSaUgGpUmTJT9vvhSUDHek+HzJz18g5dFjBsciv0MonOFTIL8NL1DA6SG/AwZsQXjktwVFCjhF5HfAgC0Ij/y2oEgBpoj8DhCuJaGR35YUKsA0kd8BwjU8NPLb8AINpIf81lAn5LcGiBGG8CvFizNmDorwnqVL5Nw110vfnOulnMlEuAqmjooA8jsq8mbMi/w2ow5RZoH8jpK+GXMjv82oQ5RZIL+jpB/93Mjv6GsQdQbI76grEP38yO/oaxBVBsjvqMj7mxf57Y+X52jktwaIBobwlOLvHqq0T6k/KZ5OS2HO1ZWWKQsWSmHglHhh9hyRRMLA1ZGSLgLIb10k7YyD/LazbjqzRn7rpGlnLOS3nXXTmTXyWydN+2Ihv+2rme6Mkd+6idoXD/ltX810ZYz81kUy2DjIbw18kd8aIFoWIrP/Tcm8e0jGfvgnKb61X5KqfcqHHwxZRbmr27mppmqXUliwSPILb5D8DTdKadw4y1ZMuo0IIL87e28gvzu7/mr1yG/2APKbPYD87uw9gPzu7Po7PwvQ87vjNwHyu3O3APLbjtojvzXUCfmtAaKlIep7fmfe2ieZP70rqUPvOHLc6SnuIcXVifD80pskv+wmyd24THI332opAdJGfnf2HkB+d3b9kd/UXxFAfrMPkN+dvQeQ351df+Q39VcEkN+duw+Q33bUHvmtoU7Ibw0QLQ3R7A0vHSl+4B3J7Nsr6tR49tWdQ1acX7JUcjfcKPlly0W9n5+/0FIqnZU28ruz6l2/WuR3Z9cf+U39kd/sAUUA+d3Z+wD53dn1R35Tf+R3Z+8B5Lcd9Ud+a6gT8lsDREtDNCu/hyyvWJTM229J9vXXJLPnNcm+vlvSh9+vGVYeM0ZySogvvUkKS5c7b4vTr7CUVHzTRn7Ht7bNrAz53QyleI+h7Um869vM6jj53QyleI9Bfse7viOtDvk9EqH4f562J/Gv8Ugr5OT3SITi+3nktx21RX5rqBPyWwNES0O0LL891pv8+mvJ7t4lmdeVDH9NMm+8LskzZ2pGFqdOG2iXslxyN94kuWXLRUlyHtERQH5Hx96EmZHfJlQh2hyQ39HyN2F25LcJVYg2B+R3tPyjnh35HXUFop8f+R19DaLOAPkddQWimx/5HR17PzMjv/3QajAW+a0BoqUhdMpvLwTp99+rOh3+mmQOviNSKFwamkhI4ZprnVPh+aXLK2J84WIpZzKWErUvbeS3fTXTmTHyWydNO2Mhv+2sm86skd86adoZC/ltZ910ZY381kXS3jjIb3trpytz5LcukvbFQX7bUTPkt4Y6Ib81QLQ0RNDyux5Lov+iZN7YI9k9r0vm9VcdMZ767FjNsHK2S/ILF1VE+EC7lMLV14gkEpZSNjtt5LfZ9Qk6O+R30ITNj4/8Nr9GQWeI/A6asPnxkd/m1yjIDJHfQdK1Izby2446BZkl8jtIumbHRn7X1uf0V2dl3YanZOb0KfLI+nulpztrRAGR3xrKgPzWANHSEGHLby9MyS+/kK5Xdgz2Ds+8+YYk+i7UDC2NHy/5G5c5rVLUDTVzy2+R0qTJllI3K23kt1n1CDsb5HfYxM2bD/ltXk3Czgj5HTZx8+ZDfptXkzAzQn6HSdvMuZDfZtYlzKyQ32HSNmsu5HdtPXbvOyS/eeFl+frcBVn/wD1y9azpRhQM+a2hDMhvDRAtDWGC/B6CTt1M88Dbkt2ze/B0ePqD90XK5ZqhxSuurGmXkrtxqZRHjba0EtGljfyOjr0JMyO/TahCtDkgv6Plb8LsyG8TqhBtDsjvaPlHPTvyO+oKRD8/8jv6GkSdAfI76gpENz/yu5b9TzY/J2tuWSzbXn1LZs+YJnfdsTa64lTNjPzWUAbktwaIloYwUn57sEycO+fcTNMR4rtflay6meapU7Ujk0nJX3d9pXe4Oh2u2qbMXyiSSllanXDSRn6Hw9nUWZDfplYmvLyQ3+GxNnUm5LeplQkvL+R3eKxNnAn5bWJVws0J+R0ubxNnQ36bWJVwcopMfp88KbJ/fziLrJ5l0iSRRYs851UtTzb9069k4999R97/8FPnBLgprU+Q3xq2CvJbA0RLQ9giv73wpt89JNk335D0G3uk69Wdknlrn2cVcreslP5vfEv6v/U/S+7GZZZWKri0kd/BsbUhMvLbhioFmyPyO1i+NkRHfttQpWBzRH4Hy9f06Mhv0ysUfH7I7+AZmz4D8tv0CgWXX2Ty+4UXRP7DfwhuYY0i33mnyH//756fVS1P1InvH9x/t7i9vx+6/25ZvmRu+HnWzYj81lAC5LcGiJaGsFl+1yNP5Pols2/vwOnw1yS7d7ekPvm4Zlipt1f6b10t+VVrpH/lGskvWNTxN9JEflv6xaspbeS3JpAWh0F+W1w8TakjvzWBtDgM8tvi4mlIHfmtAaLlIZDflhdQQ/rIbw0QLQ0RmfzeuVPkRz8Kn9qtt4o8+uiQefsu5uTHTzwj377z9kHZrVqgqIeS4VE/kN8aKoD81gDR0hBxkt9eJUie/FKyu191pLg6Gd71ynZJnD07OLQ8Zoz0r75NcitXS+7W1R15Mhz5bekXr6a0kd+aQFocBvltcfE0pY781gTS4jDIb4uLpyF15LcGiJaHQH5bXkAN6SO/NUC0NERk8tswXh8cOSb3P/ykfHb8ZE1mi+bNkacfe1Amjh8bacbIbw34kd8aIFoaIu7ye0hZymXJHHxHsju3SXbHNunauV2UIHcfpXHjRLVJya1aWxHiN9wY+57hyG9Lv3g1pY381gTS4jDIb4uLpyl15LcmkBaHQX5bXDwNqSO/NUC0PATy2/ICakgf+a0BoqUhkN+Vwj3/4lbZtedATY9vr9PgUZUZ+a2BPPJbA0RLQ3Sc/PaoU+bQwSoZvk2SX5wYHOWcDL/5VsmvWiv9SoYvvSl2Mhz5bekXr6a0kd+aQFocBvltcfE0pY781gTS4jDIb4uLpyF15LcGiJaHQH5bXkAN6SO/NUC0NATyW8SV3CuWzZe77lhbU0klxT/6+PPIW58gvzV8gSG/NUC0NATye2jh0u/9SboGToZnd2yV1PHPL8nwUaMld/MtzslwJcPzS5dLOZOxtPqVtJHfVpev7eSR320jtD4A8tv6Era9AOR32witD4D8tr6EbS0A+d0WvlhcjPyORRnbWgTyuy18Vl+M/LajfMhvDXVCfmuAaGkI5PfIhUsfft9pj5LZ/kfnberYp5dkeHeP5JbfXGmTsmqN5JbdLOVsduSgBo1AfhtUjAhSQX5HAN2wKZHfhhUkgnSQ3xFAN2xK5LdhBQk5HeR3yMANnA75bWBRQk4J+R0ycIOmQ34bVIxhUkF+a6gT8lsDREtDIL/9Fy595EOnX7g6Fe7I8I+PXpLhXd2SW7a80i9c3Ujz5luknO3yP0mIVyC/Q4Rt4FTIbwOLEnJKyO+QgRs4HfLbwKKEnBLyO2Tghk2H/DasIBGkg/yOALphUyK/DStIiOkgv0OE3cZUyO824LmXIr81QLQ0BPK7/cIp+d01IMOzO7eLkuPuQ50Cz994U6VfuJLhK26Vcld3+5NqjID81gjTwlDIbwuLpjll5LdmoBaGQ35bWDTNKSO/NQO1LBzy27KCBZAu8jsAqJaFRH5bVjCN6SK/NcIMMBTyWwNc5LcGiJaGQH7rL1zqxHHp+uMfJKNOhu/YJukPP7gkwzMZyS9ZWiXDV0q5Z5T+JHxERH77gBXDocjvGBbV55KQ3z6BxXA48juGRfW5JOS3T2AxG478jllBW1gO8rsFaDG7BPkds4L6WA7y2wesCIcivzXAR35rgGhpCOR38IVLfvmFdG39g9MqpWvHVkm//96lSdNpyS1eMtgmpf/WVVIePSb4pKpmQH6Hitu4yZDfxpUk9ISQ36EjN25C5LdxJQk9IeR36MiNmhD5bVQ5IkkG+R0JdqMmRX4bVY5Qk0F+h4q75ckild+nvzor6zY8JfsPHh6ygEXz5sjTjz0oE8ePbXlxYV2I/A6LtHnzIL/Dr0ny1Cnp2vYHyW5XPcO3SfrdQ5eSSKUkv3Cx9K9cI7nVa5235bHBvoYgv8PfAybNiPw2qRrR5IL8joa7SbMiv02qRjS5IL+j4W7KrMhvUyoRXR7I7+jYmzIz8tuUSoSfB/I7fOatzBip/P7J5uecnH9w/92t5K7tGpXHz3/94mC8X/50gyxfMtf5ePe+Q/K97z82+Lk//9YKeWT9vdLTnR18DvmtrRTWBUJ+R1+y5OnT0rX9j84NNNXp8MyhAyLlciWxZFLy8xdK/6q1klulhPhtUho3TmvSyG+tOK0Lhvy2rmTaE0Z+a0dqXUDkt3Ul054w8ls7UqsCIr+tKlcgySK/A8FqVVDkt1Xl0pos8lsrzsCCRSa/1anvjY9ukfUP3CNXz5oe2AJHCqzy+MWzv5N13/1LR2h/cOSY/GjTFvnHjfc5eT3/4laZMX2KI8P7Lubkx088I9Om9NYIe+T3SJTj+3nkt3m1TZ4547RHyag2KTu3SebA2yKlUiXRRELyc+dLbkCG9ysZPnFiW4tAfreFz/qLkd/Wl7DtBSC/20ZofQDkt/UlbHsByO+2EVodAPltdfm0JI/81oLR6iDIb6vL11byyO+28IV2ccfL73rSbiuWh+6/e/D0d/UYJcN37TlQc/ob+R3afjVuIuS3cSUZklDi7FlHhjs9w5UM3//mJRkuIoXr5w6eDO9f8w0p9fb6WhTy2xeu2A1GfseupL4XhPz2jSx2FyC/Y1dS3wtCfvtGFqsLkN+xKmdLi0F+t4QtVhchv2NVTl+LQX77whXZ4Mjkt1qxajcye8Y0ueuOtZEBqJ9YtTnZuGmLbH78Ic8T6V6tWpDfxpQv9ESQ36Ejb3vCxLlzjgTPvrJdurb9UTL79tbELF45Q/KLbpD80pskt2Kl9N+6etg5kd9tl8TqAMhvq8unJXnktxaMVgdBfltdPi3JI7+1YLQ2CPLb2tJpSxz5rQ2ltYGQ39aWru3Ekd9tIwwlQKTyW7UY+dXzv5f16+6p6aEdysrrJlG53P/wk/LZ8ZNS3fO7epgS409ufm7IjThPn8tFkTJzGkBgbE9G+nJFKRQH2moYkBMp+COQ6Lsg6Z07JP3HlyW97Y+Sfn33kAD5tbdJYdUaKa5eK+r96sfEMVnp5NcA1V094Q95rEank0np6U7J2Qv5WK2LxTRPoDubkoQkpC9XaP4iRsaHQFlk7KiMXMwVJc/PAvGpq8+VqJ8FzpzLycAdR3xezXDbCaSSCRndnZavO/FngXJCJMHO786kJJHgZwHbv5bbyV/9AqS/UJJ8AS/QDkcbr1U/A/Awn0Bk8tttL7L/4GFPSovmzRkimcPA2ajtyXAnwvv6i2GkxhwGEujKJJ3/2XVbShuYIin5JJA4fUpSL7wgiT/8m6S2bZXEJx8PiVBauUqKt39DyqvXSPYba6UvkfE5S3yGl8oiyQ6238mkSCaVlP48P+jGZ1f7W0k6pf7HX6RQ4H/+/ZGLx+hSuSzqFyDql+D8LBCPmrayCrUH1C9AeHQmAfVzUCbdmT8LqJ9+kp1Z9ppVq58FEgmRPD8LdOxuyGaSUiyWpaj+54hHRxHo6Up11HptXWxk8ttkYPXtWEZqhULbE5OrGWxutD0Jlq8J0VMfH5GuHdslu+OPztvU0Y9q08pkJLdkmfSvWlO5keatK6Xc3WNC6uQQAgHanoQA2fApaHtieIFCSI+2JyFANnwK2p4YXqCA06PtScCALQhP2xMLihRwirQ9CRiwweFpe2JwcapS63j5rdqdvLRtj/ztX9/pYHHbn2zaeJ9zw8tGrU6qy4v8tmOzB5El8jsIqmbHTH3+mdMrPLv9j5LduV3SH35Qm3A6LbklS6V/5WrJr1or/StWSnn0GLMXRXYtE0B+t4wuNhciv2NTypYXgvxuGV1sLkR+x6aULS0E+d0StlhdhPyOVTlbWgzyuyVssbgI+W1HGSOX30ouf+/7j9XQatRzOwikfRdz8uMnnpHfvrRrMHz1/OoU+M9//WLN1JdPnVRzQ0zkdxCVsSMm8tuOOgWZ5fTiWTn9z7+T7Patzo000++/VztdKiW5xUskt3K1czK8f+UaKY9BhgdZkzBjI7/DpG3mXMhvM+sSZlbI7zBpmzkX8tvMuoSVFfI7LNLmzoP8Nrc2YWWG/A6LtHnzIL/Nq4lXRpHKb69T1e7J6we++xdy1x1rraCI/LaiTIEkifwOBKtVQdU3u+rXgOTJL6VLnQp3Zfi7h2rXk0xKfuFiR4LnBlqllMaNs2rNJHuJAPKb3YD8Zg8gv9kDyO/O3gPI786uv1o98ps9gPzu3D2A/Laj9pHJb/fE9bfvvN1pL1L9UFL8Ny+8LI+sv1d6us2/cyry247NHkSWyO8gqNoVs15+12efPH1aura/LNkd25x/mUMHRMpVN0JJJCQ/f6Ejw/Or1kj/6tukNGGCXRA6OFvkdwcXf2DpyG/2APKbPYD87uw9gPzu7Pojv6m/IoD87tx9gPy2o/aRye/TX52VjY9ukfUP3CNXz5peQ0ud/n7iZ8/Kph/eJxPHjzWeJPLb+BIFliDyOzC01gQeSX4PkeFnzkjXjq2S2bHNaZOSOfC2SKl0aZiS4XPnSW7gZHj/6tul1NtrDY9OSxT53WkVH7pe5Dd7APnNHkB+d/YeQH53dv2R39Qf+d3ZewD5bUf9I5PfnPy2Y4OQ5fAEkN/sEL/yu55Y4uxZR4arU+GODH/7LZFisWZY4brrB9uk9K/9hpQmTQa8IQSQ34YUIsI0kN8RwjdkauS3IYWIMA3kd4TwDZga+W1AESJOgbYnERfAgOk5+W1AESJKAfkdEXif00Ymv1Wez7+4VZ574WV5+rEHB0940/PbZwUZHikB5Hek+I2YvF35PUSGnzsnXa9sl6wS4ju3S/atfSKFQq0Mv/pa6Vc30Fx9m/Tf9g0pTb7MCBadmATyuxOrXrtm5Dd7APnNHkB+d/YeQH53dv3V6pHf7AHkd+fuAeS3HbWPVH4rRKq/9/e+/1gNrV/+dMOQPuAm46TticnVCTY35HewfG2Irlt+D5HhfRek65UdktmxVbp2bpfMvr2SyOdrZfjsOZJzZfja26U47XIb0MUiR+R3LMrY1iKQ323hi8XFyO9YlLGtRSC/28Jn/cXIb+tL2PYCkN9tI7Q+APLb+hK2vADkd8voQr0wcvkd6moDmgz5HRBYC8Iivy0oUsApBi2/h8jwi32S3fWKczLckeFvvC6JXK5mWHHmrEsnw1euluLM2QFT6NzwyO/Orb27cuQ3ewD5zR5Afnf2HkB+d3b91eqR3+wB5Hfn7gHktx21R35rqBPyWwNES0Mgvy0tnMa0w5bfQ2R4rl+yr+661Cbl9dckkeuvleFXXCn9q9ZIbtVa54R44aqrNRLo7FDI786uv/M/vD1pSSQScvZC7V9kQKZzCCC/O6fWjVaK/O7sPYD87uz6I7+pvyKA/O7cfYD8tqP2yG8NdUJ+a4BoaQjkt6WF05h21PLbU4a//lqlX7jqG777NUlc7KuV4ZdPr7RJWbXWuZFm4ZprNRLprFDI786qt9dqkd/sAeQ3ewD53dl7APnd2fVHflN/5Hdn7wHktx31D11+n/7qrKzb8JT8p//47+UX//VfZP/Bw56kFs2bU3MjTJNxIr9Nrk6wuSG/g+VrQ3TT5PcQGZ7PS2bvbqdFiiPDX3tVEhfO18rwKVMlt1KdDF9TkeHXz7UBvRE5Ir+NKEOkSSC/I8VvxOTIbyPKEGkSyO9I8Uc+OfI78hJEngBtTyIvQeQJcPI78hJElgDyOzL0viYOXX672SkJvvHRLbL+gXvk6lnTa5JWN8H8zQsvyyPr75We7qyvBUUxGPkdBXUz5kR+m1GHKLMwXX4PYVMoSPaNPZV+4apv+KuvSOL8uZphpUmTHQmuZLj6l5+3IErERs+N/Da6PKEkh/wOBbPRkyC/jS5PKMkhv0PBbOwkyG9jSxNaYsjv0FAbOxHy29jSBJ4Y8jtwxFomMFJ+f3DkmDzxs2dl0w/vk4njx2pZaJBBkN9B0jU7NvLb7PqEkZ118rseSrEo2TffGGyT0rVrhyTOnq2V4b290n/raskPnAzPL1gkkkiEgdf4OZDfxpco8ASR34EjNn4C5LfxJQo8QeR34IiNngD5bXR5QkkO+R0KZqMnQX4bXZ5Ak0N+B4pXW3Aj5ffzL26VXXsOcPJbW5kJFBQB5HdQZO2Ja738rkddKklm/5vStXObZHdsk+yuHZI8c6ZWhk+YILkVqwbbpOQX3SCSTNpTNI2ZIr81wrQ0FPLb0sJpTBv5rRGmpaGQ35YWTlPayG9NIC0Og/y2uHiaUkd+awJpYRjktx1FC11+q1Pd9z/8pHx2/GRDQpdPnSSbH39oSDsUU5Fy8tvUygSfF/I7eMamzxA7+V0PvFyWzDv7HRme2bFNul7ZLslTp2pl+LhxkrtlpXMDTadVyuIlIqmU6aXTkh/yWwtGq4Mgv60un5bkkd9aMFodBPltdfnaTh753TZC6wMgv60vYdsLQH63jdDaAMhvO0oXuvx2sQzX89sOdJeyRH7bVjF9+SK/9bG0NVLs5beXDD90oHIqXMnwndskefLLmlHlMWOk/+ZbJb9qrfQrGX7jstjKcOS3rV+5+vJGfutjaWsk5LetldOXN/JbH0sbIyG/baya3pyR33p52hgN+W1j1fTkjPzWwzHoKJHJ76AXFmZ85HeYtM2aC/ltVj2iyKbj5LcH5Myhg5JVbVK2b62cDP/iRK0M7xkluZtvcU6GqxYpSoaXJl8WRbm0z4n81o7UuoDIb+tKpj1h5Ld2pNYFRH5bVzKtCSO/teK0Mhjy28qyaU0a+a0Vp1XBkN92lAv5raFOyG8NEC0Ngfy2tHAa00Z+D4WZfv+9Ss/w7VsdKZ76/LMhg4qXT5fcsuVSWLrceZu7camUR43WWJlwQiG/w+Fs8izIb5OrE05uyO9wOJs8C/Lb5OoEnxvyO3jGps+A/Da9QsHnh/wOnrGpMyC/Ta1MbV6Ryu/h+n8vmjdHnn7sQZk4fqzxJJHfxpcosASR34GhtSYw8nvkUqUPvy9dO7dLZverzs00M2/t87yocP1cyS1dLnklw5ctd06Jm/5AfpteoeDzQ34Hz9j0GZDfplco+PyQ38EzNnkG5LfJ1QknN+R3OJxNngX5bXJ1gs0N+R0sX13RI5PffRdz8uMnnpEVy+bLDQuukV89/3tZv+4e6enOyk82Pydrblksy5fM1bXOQOMgvwPFa3Rw5LfR5QklOeR3C5gLBckceFuyb+yR9Bt7nLeZdw+KFAo1wcrdPZJfvKQiwpfd5LwtzpjVwoTBXYL8Do6tLZGR37ZUKrg8kd/BsbUlMvLblkoFkyfyOxiuNkVFfttUrWByRX4Hw9WGqMhvG6okEpn8rr7hpUL1xM+elU0/vM856b173yH5zQsvyyPr73VkuOkP5LfpFX3A08oAACAASURBVAouP+R3cGxtiYz81lOpRP9F50R4tRBPf/C+SLlcM0Fp0uQBGb5ccktvktxNt0h5bHR/IYT81lN/m6Mgv22unp7ckd96ONocBfltc/Xazx353T5D2yMgv22vYPv5I7/bZ2hrBOS3HZUzQn73Thgrm/7pV7Lx777jyG/VDqVahpuOEvlteoWCyw/5HRxbWyIjv4OrVOLcOUeGDwrxfXsk9fHR2gkTCSlcdbXklt3ktEvJ33iT0y6lnA3nF6fI7+Dqb0tk5LctlQouT+R3cGxtiYz8tqVSweSJ/A6Gq01Rkd82VSuYXJHfwXC1ISry24YqRXjyu7rtyV13rHVancyeMU3U+8+/uFV27TnAyW879lBHZ4n87ujyO4tHfoe7B5KnT0t2z2uSUa1SBsR48osTNUko8Z1fsKgiw9UNNZfeJIVrrg0kUeR3IFitCor8tqpcgSSL/A4Eq1VBkd9WlUt7sshv7UitC4j8tq5k2hNGfmtHak1A5LcdpYrs5Hc9HtUGZd2Gp2T/wcNy+dRJsvnxh+TqWdOtoMjJbyvKFEiSyO9AsFoVFPkdfblSn35SOR2+b6B/+L69kvzqq5rESuPHS/7GZZduqLl8hZR6e9tOHvndNkLrAyC/rS9h2wtAfreN0PoAyG/rS9jWApDfbeGLxcXI71iUsa1FIL/bwmf1xchvO8pnjPy2A5d3lshvm6vXXu7I7/b4xeFq5LeZVUwffl8yb+wdPB2u+okn+i7UJFucMVNyqk3KTZXT4fklS0XdZNPPA/nth1Y8xyK/41lXP6tCfvuhFc+xyO941rXZVSG/myUV33HI7/jWttmVIb+bJRW/cchvO2oamfyuvuGlLSe8G5UU+W3HZg8iS+R3EFTtion8tqdemXf2S2ZfRYhn3nzDOS1e/8gvXiK5xUukcNPNkrvhRqd/+HAP5Lc99Q8qU+R3UGTtiYv8tqdWQWWK/A6KrB1xkd921CnILJHfQdK1Izby2446BZEl8jsIqvpjIr81MEV+a4BoaQjkt6WF05g28lsjzAhCZfe+Lpm9ux0Z7kjxQweHCvElSyV//VwpXj9f8tdeJ4Vrrx/sIY78jqBohk2J/DasIBGkg/yOALphUyK/DStIyOkgv0MGbuB0yG8DixJySsjvkIEbNB3y26BiDJNKZPJb5aRucrnmlsWyfMlcO2g1yBL5bXX52koe+d0WvlhcjPyORRkHF6Fao2TV6XD33/43Jf2ndz0XWXCE+FxJL1wgX8+6VgrXXS+Fa6/z3TolXgQ7bzXI786ref2Kkd/sAeR3Z+8B5Hdn11+tHvnNHkB+d+4eQH7bUftI5fcHR47Jr57/vaxfd4/0dGftIOaRJfLb2tK1nTjyu22E1gdAfltfwhEXkMj1OwJcnQpPHTogmXcPSvrdQ5L+6LBIqVR7fSIhqpd4Xp0Ov64ix/NKil83T0oTJow4FwPsI4D8tq9mujNGfusmal885Ld9NdOZMfJbJ007YyG/7aybzqyR3zpp2hUL+W1HvSKT36rn97oNT8n+g4c9SS2aN0eefuxBmTh+rPEkkd/GlyiwBJHfgaG1JjDy25pSaU9USfGeD96TMR/9Sfr2vCmZPx2S9KGDkj7yoUixOGS+0qTJkr9urnNC3JHi1w68f8WV2nMjYHgEkN/hsTZ1JuS3qZUJLy/kd3isTZwJ+W1iVcLNCfkdLm8TZ0N+m1iVcHJCfofDud1ZIpPf7SZu0vXIb5OqEW4uyO9weZs4G/LbxKqEl5NXz2/npPh7f6qI8PqT4h5SvDx6jNNDXJ0QL14/z+kp7kjyq+aIpNPhLYaZWiKA/G4JW6wuQn7HqpwtLQb53RK22FyE/I5NKVteCPK7ZXSxuRD5HZtS+l4I8ts3skguiEx+q5PfGx/dIusfuEeunjW9ZvG79x2S37zwsjyy/l4r2qEgvyPZu0ZMivw2ogyRJoH8jhR/5JP7ueHloBRXbVMOHpD0nw45rVSc9ileUjyTkeJVcyotVK6tiHGnhYrqKz5qdORrJ4EKAeQ3OwH5zR5Afnf2HkB+d3b9nZ8FutOSTCbk6wt5YHQoAeR3hxZeRJDfdtTeSPmteoE/8bNnZdMP76PtiR37qGOzRH53bOkHF4787uw94Ed+D0cq887+yknxdw9K5tCByvuH3294SeGqqyW/eIkUFi2W4hUzpHjllVK4cqbTb5xHuASQ3+HyNnE25LeJVQk3J+R3uLxNmw35bVpFws8H+R0+c9NmRH6bVpHw8kF+h8e6nZmMlN/Pv7hVdu05ENrJ759sfk5+/usXBzn+8qcbZPmSuYMfq3z+/vFnnI///FsrhuTFye92tqDd1yK/7a6fjuyR3zoo2htDl/xuRCDz9lvOCXElwx0prm60+cF7wwIrXnGlFGbOluIVV0hxxiwpXank+IyKHJ89W8pd3fYCNzBz5LeBRQk5JeR3LfDE2bOSPH9OEs6/8wPvnx/ysfT3X7pQ3TxY/SuXRcolSbjvl8qXni+VJFEeGFM9Xj1fda0TY/A5qVzvGbvqec/YUsnHfWTSUu7uqfzr6b70fne3jJ00Ts6W0lLq7pZyjxoz8PmeHhH3fedt1XUDMULerkwXAAHkdwBQLQuJ/LasYAGki/wOAKolIZHfdhQqdPmtTnXf//CT8tnxkw0JXT51kmx+/KEh7VCCQKrar/zi2d/Juu/+pdNiReX3o01b5B833ufMr1qwPLn5ucGbbypRrh4/uP/uwXSQ30FUxo6YyG876hRklsjvIOmaHzto+d2IQPaNPZLZ/6akPnhPUh99KKnPjkn6ow8learx91Y3VmniRCkqET4gxEszK++r5wpXzpDSZVPMB29Qhshvg4oRUSo2y+/kV19VpPS5cxVJfeGCJM6ddZ5Lnr8krCvP1Qnsc5WPk+cuie7Exb6IqmDvtOoXko5MV28HxLrUS3Z3zODzPVJWr+VTp0lpyjRRN1QuXnaZlCZfZi8IizNHfltcPE2pI781gbQ4DPLb4uK1mTryu02AIV0euvx21zVcz++Q1u45jcpr3Yan5KH773ZOfyvZPXvGNLnrjrXO+HoZrp5DfkdZsWjnRn5Hy9+E2ZHfJlQhuhyikt/DrVjdbDN17FNJH/1Ikp98LKmPj0jqk08k/clRSR09MiIsJWAcGa6k+PQrpThrduWt+lidKp911YgxOmkA8ruTqu291rDkd/LUqVopPSCqByW1ktB9FyTx9dcDp6zrBHaV0FaxgnqoexKUR4+W0ugxztvy2HHOaejSmIGPR4+R0ujRItV/hZJMiqh/icTA28r7Zef5RNXzA88lqsYOXFcZO/C8+vzg825Mr9i1ccpq/qprnRjuI9cvib4+SfRflMTFi5X3L6p/F2VMoigXTn4l4nys/vUPvB14X9VFPd93sTKm/6KoXzwE8Sj19joSvDh5ipQmTXLEuPqlpvN2snp/qpR6J0nReZ9fduqoAfJbB0W7YyC/7a6fjuyR3zoo2hkD+W1H3SKT36biUXJ746Ytzsnz6VMny4+feEZWLJs/KL/rT4Yjv02tZDh5Ib/D4WzyLMhvk6sTfG4myu+RVq3EeOpTJcWPSvqTTyR59CNJKUn+ifr4Y+cE6EiP4uXTnZYqFRk+S8pTpzknEPtXrXUESyc9kN+dVO3m5LcjOd2T1O5p6b6LkvxanbKuOk09cOK69pR13UlqJawDkqRqNeUxSkQrKT2m8v6YsVIeNarysSuwx44VGTVaSmOU1K4S2EpmK9HtSO2K0FZvO/HRTs9v5xcWfUqoX5Lp9ZJdlGx35HlFtjsC/ssvJXX8c0mdOC7JL05I8uQXkjxzxjd+R5Y7J8enDiPLe6U4+TJkeQO6yG/f2y52FyC/Y1dS3wtCfvtGFpsLkN92lBL5PVCn6nYsbs/vvos5R35/+87bB3uAe8nvC/0FO6pNltoJdGVSki+UpFTdE1L7LAQ0mcCorrR08mtAuZyQRKKqJ6rJxQogt2QiIZl0UvrzxQCiRxMycea0JI5+LIljn0ry8GGRTz+VxIeHJanefvSRJI5/3nRi5SlTpXzZZClPvkzKkydL+bLLRKZMEZlUed/557yv/tl5AjGdSkpCRPLFUtNcGBgxAXVi+vw5kfPq7XkRJaEvXryUlJKL6vmzZyu/DFJjL/SJKHmtPnbafKjrKmOSF9Tbyjh16jqoR3nCBBElmMeMEVESWklpRziPFlECWj0/dpzImNGVz6uP1fPjKievLz03IKlHjQoq1Y6L25NNS1/OjP8fSHz+mSS++FISJ7+UxBdfSOLECZGTJyVx4njlffUXBM77X4h6vff7KE/slfIU9fo9RcqTJjmv6c7r98BrfHmqet2fIuXLp0l5wkS/4a0cr34WUL8MvxijnwWaLUSn/xzocuJngWZ3THzHdaVTUiiVpKjuVcGjowgoH8DDfAKRym+3xcj+g4eHkFo0b85gn+0wMVa3PVk4d05TJ7/PnM+HmSJzGURgbHda+vJFKRT5JmdQWUJNZcLojHT0a4Da+sr8degjnUxIT1dKzvaZIT3CKkPy8AeSPHpUkp+of59I4tgxSSrhcvKkJI9/7pxIVD2C/T7KvZOcP8t3Zbn60/2yEitKkKs/0VcyvbfXESuladP8hg9kfHem0jbhYi4+vwAJBFQLQROnVZuPC5JQctlt6THQZ1ouqBPUA59TEtrpSV2R2o6YVp9XY51xtR+3kIrvSxxBqE5Kq5PU6jS0e2p64JS0+pwjqp2T0wMnql2pPfjx2Mrneif5np8LwiWgfhb46nxebPxpMHn8uCS+OOG8bie//KLy+q3enjhR+XhAnCfV86f9tctRf0VQmjlLSrNmSWnmbCnPvsp5X7XTUm/jsrdTCZFR3emO+1nA+Srr8J8D3Vca9bNAIpGQPn4WCPfF16DZRnenJZcvcRjCoJqElYr6GYCH+QQild9eN480AVl1n296fptQEXNzoO2JubUJKzPanoRF2sx5bGx7EiZJ1WIlefJLUf2FUwN/lu8KltTA8239uf748VKaVLnJm+ptWxzobSvpgRMYyeTQG8h1dTmnYJ0by3WrG80NvHVuNNcjZfV5H60bOr3tSWLg5LMrmStvL1y6eeKAfHZaOyhBPXDquvL2vNPGIVnz/HlJBnh62t3/qtWD07JDyTl1Srqn6hR0NnOpX3V13+qBth5uew9HbI8aJeOmTpTz6W7pz46SkjqdzaPjCLTT9sQ2WE6bFfX6rX7Z+cXA+0qcO6/xX0rqiy+cX4Kqlizq6364h/rrhIJqoTVrtnM/CXUD5sLM2VKcOct56/x1gwUP2p5YUKSAU6TtScCALQhP2xMLihRQirQ9CQis5rCRyW9Tbnip2pi8tG2P/O1f3+mgddufbNp4n9PqpP4Gl17Cnhteat6VFoVDfltUrIBSRX4HBNaSsMhvvYXylCqOYKlIFSVbUl+q04hKqJ/UO7lHNCVeHEleI8hHSbkrOyDPeyQ1ZpRIT4/k0kqqd4v0jKp8rkqyiyvZq2/wVyqJFIuSKBact5X3iyIl9/3K59XHiULVmIHPS7FUM17UGPVPjXfiDcQfHO8+X4mVGPj8pfFVOTg5lUSqWnopiaXaezjC2j113V/VKiSAapRUuw7n5omqt/Qopx+1YuncOFH1pR64saIjoRV3t1e1I7Qr7UBcwa3eOpI7AJkW1g0vA0BMSE0EOkl++0GWPH3auely+shHlZsvq7dHjzg3ZE4dPTqiHFe/TCrOnC2FmbOct0qKOzdhnjGrcr+J6l9a+UlM81jkt2agFoZDfltYNM0pI781A7UoHPLbjmJ1vPx2+3r/9qVdgxVze367Tzz/4lb5+8efcT7882+tkEfW3ys93dnB8chvOzZ7EFkiv4OgaldM5Ldd9dKdLfJbN1F/8Rwhrm76pm70NvB+Uv1Zfn6gHVmpNHCDuIEbxfX3D940bvAGcs5N5AZuJqduIjfwvr9MOne0K6BLA6eoHeFcJZ0d4TxwU0TnpomOoK6cuB6U2lWC25HUE+3qE4z87tz9764c+d3aHlBtVVwxnlattI58OCjG0x+8N2JQdaNOR4w7p8cHBLk6Ra7k+LXXjXi9rgHIb10k7Y2D/La3droyR37rImlfHOS3HTWLTH4rPPUtRexANjRL5LetlWs/b+R3+wxtj4D8tr2C7eWP/G6Pn8lXJ6pEeGJAkIt6rlqWX+yTnmLOuVli/9fnJNHfL9I3INrVuLqxkqu6R0giIZJOiSRTUk6lRAb+Oe8nKx+XU8mB59O1YwY+L6lk5Xn1sWr1ov4NfFyJWbm+PDg+JWU1pj5+fQ5uvGRysEROixjn9HTViWtDTl1GvY+Q31FXIPr5kd/B1CD1+WcDJ8ePVE6Of3j40sdHPxpx0uKUqVKcPUfyCxZKYeFiyat/8xdoPzGO/B6xFLEfgPyOfYlHXCDye0REsR2A/LajtJHKb9Vi5FfP/17Wr7un5iS1HeguZYn8tq1i+vJFfutjaWsk5LetldOTN/JbD0ebo3R6z2+ba6crd+S3LpL2xkF+R1O71MdHJa2k+FElx49K6qPDTjsVp63Kp580TEq1T8lfP0/yCxZJce58yV8/V/KLbmh5EcjvltHF5kLkd2xK2fJCkN8to7P+QuS3HSWMTH6rnt/rNjwl+w8e9iS1aN4cefqxB2XiePNvdIL8tmOzB5El8jsIqnbFRH7bVS/d2SK/dRO1Lx7y276a6c4Y+a2bqH3xkN9m1iytZPiHH0p2/5uSfvMNybzzlqTfb9xORbVKyc9dIIX5CxwxXrhurhSuuXbExSG/R0QU+wHI79iXeMQFIr9HRBTbAchvO0obmfy2A09zWSK/m+MUx1HI7zhW1d+akN/+eMVtNPI7bhX1vx7kt39mcbsC+R23ivpfD/LbP7OorkjkcpJ+713JHDwgqYNvO28zhw44J8erb/Lr5lfu6pbCdddLft58KcxbKIW58yQ/d74UZ8wcXALyO6pqmjMv8tucWkSVCfI7KvLRz4v8jr4GzWSA/G6G0ghjkN8aIFoaAvltaeE0po381gjTwlDIbwuLpjll5LdmoBaGQ35bWDTNKSO/NQONIFziwnlHhKcPHZD0gXckc+gdSStBfuK4ZzblMWMcCa7+yYKF0r30Bvli5rVSumxKBNkzZdQEkN9RVyD6+ZHf0dcgqgyQ31GR9zdvpPK772JOfvzEM/Lbl3bJ5VMnyebHH5LpUyc7z61YNl/uumOtv9VENBr5HRF4A6ZFfhtQhIhTQH5HXICIp0d+R1wAA6ZHfhtQhIhTQH5HXAADpkd+G1CEgFJIfvVVpV2KEuMH36kI8ncPSPLMGc8ZS72TJD9vgRSck+ILnBPj+XkLpTzW/FaeASHsiLDI744o87CLRH537h5AfttR+0jl9082PyezZ0yT/+WbK+SJp5+V79z17+TqWdNl975D8psXXpZH1t9rxY0wkd92bPYgskR+B0HVrpjIb7vqpTtb5LduovbFQ37bVzPdGSO/dRO1Lx7y276atZtx6tinTrsUdVI8e/Ad6Xr3gMiBg5K42OcZunj5dCmok+ILFkphwWLnBpv5ufPaTYPrDSGA/DakEBGmgfyOEH7EUyO/Iy5Ak9NHJr/VDS83PrpF1j9wj3Pau1p+f3DkmDzxs2dl0w/v44aXTRaSYdEQQH5Hw92kWZHfJlUj/FyQ3+EzN21G5LdpFQk/H+R3+MxNmxH5bVpFws1nsOf3mYuSPvKhc0rcEeMH3pG0ap/y/nuSyOeHJFXuGSX5G26U3NKbJH/TcsndeFNNL/FwV8Fs7RBAfrdDLx7XIr/jUcdWVoH8boVa+NcYKb85+R3+RmDG1gggv1vjFqerkN9xqqb/tSC//TOL2xXI77hV1P96kN/+mcXtCuR33Crqbz3N3PCy0k+80kc88+Ybkn3zDUl++cWQiUqTL6vI8OW3SG7JMsnddDMtU/yVI5LRyO9IsBs1KfLbqHKEmgzyO1TcLU8WmfxWGT//4lbZteeAbPy778j/88x/c9qe9E4YK+s2PCV333k7Pb9bLisXhkUA+R0WaXPnQX6bW5swMkN+h0HZ7DmQ32bXJ4zskN9hUDZ7DuS32fUJOrtm5LdXDqnPjkl2z25J790t2T2vS/bNvZI4d652aCIhhTnXSG7ZTZJfulzySowvukHKmUzQyyK+DwLIbx+wYjoU+R3TwjaxLOR3E5AMGBKp/FbrV6e8v/f9x2pQ/PKnG2T5krkG4GkuBXp+N8cpjqOQ33Gsqr81Ib/98YrbaOR33Crqfz3Ib//M4nYF8jtuFfW/HuS3f2ZxuqJV+T2EQbksmXcPSWbvbsnsUUJ8t9M+RQqFmqHlbFbyCxdXRPiymyW3dJkUrr42TkitWwvy27qSaU8Y+a0dqTUBkd92lCpy+W0HpuGzRH7HoYqtrQH53Rq3OF2F/I5TNf2vBfntn1ncrkB+x62i/teD/PbPLG5XIL/jVlF/69Emvz2mTfRflMy+vZLd+7pk1OnwvbsldfTIkJGlCRMkf+Myp294ftlyyS1fIaXeXn8LYXTLBJDfLaOLzYXI79iU0vdCkN++kUVyQaTy+yebn5PPT5ySR9bfKz3dWQdA38Wc/PiJZ2TFsvm0PYlkSzCpHwLIbz+04jkW+R3Puja7KuR3s6TiOw75Hd/aNrsy5HezpOI7Dvkd39o2s7Ig5bfX/MnTpyW7e1fldLiS4m+8LskzZ4YMLc6YWZHh6maa6pT4kqVS7u5pZkmM8UkA+e0TWAyHI79jWNQml4T8bhJUxMMik9+u5P72nbcPaXHCDS8j3hVM3zQB5HfTqGI7EPkd29I2tTDkd1OYYj0I+R3r8ja1OOR3U5hiPQj5Hevyjri4sOW3V0Lpw+87fcOVEFcyPLP/LUnk+muHplKSnzu/IsJvurnSNuX6eSLJ5IhrZMDwBJDf7BDkd+fuAeS3HbWPTH6f/uqsbHx0i6x/4B65etb0GlofHDkmT/zsWdn0w/tk4vixxpOk7YnxJQosQeR3YGitCYz8tqZUgSSK/A4Eq1VBkd9WlSuQZJHfgWC1Kijy26pyaU/WBPldv6hEPi+Zt9+qyHB1Q829r0v6g/dFyuWaoeVRoyW3ZKnkly6rtEtZulyKV1ypnVHcAyK/417hkdeH/B6ZUVxHIL/tqGxk8puT33ZsELIcngDymx2C/O7sPYD87uz6q9Ujv9kDyG/2APK7s/eAifLbqyKJs2edm2hm97wmmb2vS/a1V0S1UKl/lHonSe7mFYMyPL94iZQmTuzsIo+weuQ32wP53bl7APltR+0jk98Kj2pvsnHTFtn8+EODp7/Vqe/7H35SHvjuX9Dz24491NFZIr87uvzO4pHfnb0HkN+dXX/kN/VXBJDf7APkd2fvAVvkt1eVUh8fkeyb+ySze5dkX98tmTffkMTFviFD1WlwdUI8t+Z2yd26SvILFnV20etWj/xmOyC/O3cPIL/tqH2k8lshcmX3Z8dPDhL75U83DOkDbjJO2p6YXJ1gc0N+B8vXhujIbxuqFFyOyO/g2NoSmZPftlQquDyR38GxtSUy8tuWSgWTp83y24tI5q19kt23VzKvvybqfdU+pf5RHjtW+letldzK1ZK7dbXkblwWDFxLoiK/LSlUgGkivwOEa3ho5LfhBRpIL3L5bQem4bNEfsehiq2tAfndGrc4XYX8jlM1/a8F+e2fWdyuQH7HraL+14P89s8sblcgv+NWUX/riZv89lp99o09kt21Q7KvqH/bh7RLcXqH37JCcmu+If23rpTc8hX+IFo+GvlteQE1pI/81gDR0hDIbzsKh/zWUCfktwaIloZAfltaOI1pI781wrQwFPLbwqJpThn5rRmoheGQ3xYWTXPKyG/NQC0L1wnyu74kmYMHHAme3bHNeZs6cbxmSLlnlORuvkVyK9dUTocvu1nK2axllW0+XeR386ziOhL5HdfKjrwu5PfIjEwYEan8Pv3VWVm34SnZf/DwEBaL5s2Rpx97UCaOH2sCp2FzQH4bX6LAEkR+B4bWmsDIb2tKFUiiyO9AsFoVFPltVbkCSRb5HQhWq4Iiv60ql/ZkO1F+10NMv/+edL2yXTI7tkrXzu2SOvZprQzPdklu2fKKCFftUm5ZIeWubu21iCog8jsq8ubMi/w2pxZhZ4L8Dpt4a/NFKr9/svk5J+sf3H93a9kbchXy25BCRJAG8jsC6IZNifw2rCAhp4P8Dhm4gdMhvw0sSsgpIb9DBm7gdMhvA4sSYkrI76GwU0c/ciR4dsdWye7cIekjH9bK8ExG8kuWSv/K1ZJfuUb6V6yU8ugxIVZN71TIb708bYyG/LaxanpyRn7r4Rh0lMjktzr1vfHRLbL+gXvk6lnTg15noPGR34HiNTo48tvo8oSSHPI7FMzGToL8NrY0oSWG/A4NtbETIb+NLU1oiSG/Q0Nt5ETI75HLotqidG19uXIy/JXtok6K1zxSKckvukH61c0zV61xbqapbqppywP5bUulgssT+R0cW9MjI79Nr1AlP+S3hjohvzVAtDQE8tvSwmlMG/mtEaaFoZDfFhZNc8rIb81ALQyH/LawaJpTRn5rBmpZOOS3/4IlT52Srm1/kKw6Hb5zm2QOHRQply8FSiQkP3+h5FwZvvo2KU2c6H+ikK5AfocE2uBpkN8GFyfg1JDfAQPWFD4y+a3yV21PZs+YJnfdsVbTcqIJg/yOhrsJsyK/TahCtDkgv6PlH/XsyO+oKxD9/Mjv6GsQdQbI76grEP38yO/oaxBlBsjv9uknz5yRrh1bJbNzu3QpGf7OfpFSqSZw4brrpV/dQFOdDF9zu5QmX9b+xJoiIL81gbQ4DPLb4uK1mTryu02AIV0eqfz+4Mgx+dXzv5f16+6Rnm577/6M/A5ptxo4DfLbwKKEnBLyO2Tghk2H/DasIBGkg/yOALphUyK/DStIBOkgvyOAbtCUyG/9xUicO+e0RyEawwAAIABJREFUR6n0DN8u2bf2iRQKtTL8qqsrN9BUPcNXrpbijJn6E2kyIvK7SVAxHob8jnFxR1ga8tuO2kcmv1XP73UbnpL9Bw97klo0b448/diDMnG8+b2+kN92bPYgskR+B0HVrpjIb7vqpTtb5LduovbFQ37bVzPdGSO/dRO1Lx7y276a6cwY+a2TpnesRN8Fye56xZHh6kaamX17JJHL1QxW8rv/1lWSW7XWkeKFq64OPrGBGZDfoaE2diLkt7GlCTwx5HfgiLVMEJn81pK9IUGQ34YUIoI0kN8RQDdsSuS3YQUJOR3kd8jADZwO+W1gUUJOCfkdMnADp0N+G1iUEFNCfocIe2CqRK5fsq+9WjkZrk6Iv75bEhf7amX4tMsv9Qy/dbUUrp8bWKLI78DQWhMY+W1NqbQnivzWjjSQgMhvDViR3xogWhoC+W1p4TSmjfzWCNPCUMhvC4umOWXkt2agFoZDfltYNM0pI781A7UsHPI7+oIl8nnJ7N3tnApXN9BUYjxx/lxNYqVJk532KPmVq53e4eqGmpJIaEke+a0Fo9VBkN9Wl6+t5JHfbeEL7eLI5ffufYfke99/rGbBv/zpBlm+JLjfzOqmi/zWTdSeeMhve2oVVKbI76DI2hEX+W1HnYLMEvkdJF07YiO/7ahTkFkiv4Oka35s5LeBNSoWJbtvr2Rf2VE5Hf7qTkl+/XWtDJ8wQXK3rKzcQFPJ8MVLRJLJlhaD/G4JW6wuQn7Hqpy+FoP89oUrssGRym8lvp/c/FxNb291E8z7H35SHvjuX8hdd6yNDIyfiZHffmjFayzyO171bGU1yO9WqMXnGuR3fGrZ6kqQ362Si891yO/41LLVlSC/WyUXj+uQ33bUMfPmG5WbaKrT4Tu2SvKrr2oSL48aLf0rVkpe3UBz9VrJ3XRz0wtDfjeNKrYDkd+xLe2IC0N+j4jIiAGRye++izn58RPPyLfvvH3IKW8lxX/zwsvyyPp7pac7awSo4ZJAfhtfosASRH4HhtaawMhva0oVSKLI70CwWhUU+W1VuQJJFvkdCFargiK/rSqX9mSR39qRhhIwc/CdigjfvtWR4skvv6iZtzRhglz8szskt/q2yg00Z13VMC/kdyglM3oS5LfR5Qk0OeR3oHi1BY9Mfp/+6qxsfHSLrH/gHrl61vSaBanT30/87FnZ9MP7ZOL4sdoW6xXIlfC/fWnX4Kfr2678ZPNz8vNfv+h8ftG8OTUn1dVzyO9AS2R0cOS30eUJJTnkdyiYjZ0E+W1saUJLDPkdGmpjJ0J+G1ua0BJDfoeG2siJkN9GlsV3UplDB532KNkd26Tr5ZckeepkTYzi1GnSf9s3JLdqreRuvlUK1143+Hnkt2/csbsA+R27kja9IOR306giHRiZ/Dbl5LeS8L949ney7rt/6ZwyV6fON27aIpsff8iR8s+/uFV27TkweAq9/mPkd6T7N/LJkd+RlyDyBJDfkZcg0gSQ35HiN2Jy5LcRZYg0CeR3pPiNmBz5bUQZIksC+R0Z+kAnzu59Xbr+8HvJbn1ZunZsHTJXcfoVlRtorr5NUt+4XeTaa+XrC/lAcyK4uQSQ3+bWJujMkN9BE9YTPzL5rdJXIvm5F142que3kuHrNjwlD91/t9OORZ36Vo8f3H+389arTzknv/VsRhujIL9trJrenJHfennaFg35bVvF9OeL/NbP1LaIyG/bKqY/X+S3fqY2RUR+21St1nJN5HKS3fPaQJuUP0p292uSuNhXE6w8fbr0qRtnrlor/avWSGHONa1NxlVWEkB+W1k2LUkjv7VgDDxIpPLblcnf+/5jNQutbzsSOIWqCVTLlR9t2iL/uPE+5+S3ewPOO755iyPAlQyfPWNazc04kd9hVsisuZDfZtUjimyQ31FQN2dO5Lc5tYgqE+R3VOTNmRf5bU4tosoE+R0VeTPmRX6bUYcws0jk85LZu1u6nJ7hSoa/KokLF2pSKE67XHIr10hu9VrpX7lGCtdcG2aKzBUyAeR3yMANmg75bVAxhkklcvltEia3FcuKZfMH5bb73Fdnz8v21/Z79vwuFssmLSMeuSTsWEYyIVKi/HYUK6AsU8mEFDt4ExSKJUmnkgHRNT9sIiGSSCSk1MF7wPwqBZuh+j4gkpBSmW8GwZI2M3qhWBb1S7Cy+o8tYGaRQshK/Sygvg+wBUKAbeAU6ttAYmAPGJheoCl1+s+BLtxEoSCJ3a+JvPxHkT++LImdO0XOn69lP22alNeuFbn9G1K+7TYpz50baG0IHi4B9fOg+jmg474PdNyCh+6rVMoSeRXul4Rxs0Uqv9Up6s9PnBrsp63oeAnoMKi5806b0jvY4kTNW3/S26tVy+ena//kKYx8Yz+HJS+ivWO75NzFvOTypdiXhAV6E5jW2yOfn+rk14CEKAHcqY9MOilje9Jy6myuUxF0/LpHdaedr4HzfYWOZ9GJAJTuVD8LqPrnCvws0Il7QK15yoRuOXHmYqcuv+PXnU4lZPyojJzswJ8FKr/0s+R/3ALcqaO705JMJORs30DP72JRVM/w7M7tklEnw1/dJYnz52oyKF02RXKr1gz8WyuF65HhAZYo8NATxmSlL1eU/lwx8LmMmqCD/z/QrcO0iT1GlYRkvAlEJr9NueFltXCvF99eOda3RVHX0/akc7+8aHvSubV3V07bk87eA7Q96ez6q9XT9oQ9QNsT9gBtTzp7D9D2pLPr7/wsoOR3MtH4hpdKhu/bK107tklmx1bpenWnJM7VyfDJl0n/raudNim5VWslP3ceYC0iQNsTi4qlOVXanmgGGlC4yOS3urHkxke3yPoH7nF6a1c/lGB+4mfPyqYf3icTx48NaOmVsCOdNK8/ne518hv5HWiJjA6O/Da6PKEkh/wOBbOxkyC/jS1NaIkhv0NDbexEyG9jSxNaYsjv0FAbORHy28iyhJrUiPK7Phslw9/aJ9kd2ySrZPiuHZI4e7ZmVKl3knPjzMrp8LWSn7cg1DUxmT8CyG9/vOI0GvltRzUjk9+mnPx2b2j52fGTNRX7m7+6w2l/4ub525d2OZ9fNG+OPP3YgzVSHvltx2YPIkvkdxBU7YqJ/LarXrqzRX7rJmpfPOS3fTXTnTHyWzdR++Ihv+2rmc6Mkd86adoZy7f8rl9mqSSZt/ZJ185tkt2+VbK7dkjy66/rZHivczI8P3ADzfz8herGM3YCi2HWyO8YFrXJJSG/mwQV8bDI5Lda9+59h2Tjpi2y+fGHBk9/uzL6ge/+xeBNJyNmNOL0yO8REcV2API7tqVtemHI76ZRxXIg8juWZfW1KOS3L1yxHIz8jmVZfS0K+e0LV+wGI79jV1LfC2pbfnvJ8Lffkq4dWyunw5UMP3OmVoZPnCg51SZl1RrpVyfDFyxChvuunL4LkN/6WNoWCfltR8Uild8KkdfJ61/+dIMsX2LPDR+Q33Zs9iCyRH4HQdWumMhvu+qlO1vkt26i9sVDfttXM90ZI791E7UvHvLbvprpzBj5rZOmnbG0y+96DOWyZN7ZX5Hh7snw06drZfiECZJbscrpGd6/co3kFy4WSSbtBGph1shvC4umKWXktyaQAYeJXH4HvL5QwiO/Q8Fs5CTIbyPLEmpSyO9QcRs3GfLbuJKEnhDyO3Tkxk2I/DauJKEnhPwOHblREyK/jSpHJMkELr+9ZPiBt502KZntW6Xrle2SPHWqVoaPH1+R4e7J8EU3IMMD3B3I7wDhGh4a+W14gQbSQ35rqBPyWwNES0Mgvy0tnMa0kd8aYVoYCvltYdE0p4z81gzUwnDIbwuLpjll5LdmoJaFQ35bVrAA0g1dfnusIXPwHefmmapNSteObZI8VXtPs9K4cZK7ZaXkVt8muZWrJXfDjchwjXsB+a0RpmWhkN92FAz5raFOyG8NEC0Ngfy2tHAa00Z+a4RpYSjkt4VF05wy8lszUAvDIb8tLJrmlJHfmoFaFg75bVnBAkjXBPldv6zMoYMVGe6eDP/yi5oh5TFjpN+V4avWVGR4KhUAnc4IifzujDp7rRL5bUftkd8a6oT81gDR0hDIb0sLpzFt5LdGmBaGQn5bWDTNKSO/NQO1MBzy28KiaU4Z+a0ZqGXhkN+WFSyAdE2U3/XLTL97yGmT4sjwndsk+cWJWhk+WsnwWyW/+jbpVyfDb1yGDPexV5DfPmDFbCjy246CIr811An5rQGipSGQ35YWTmPayG+NMC0Mhfy2sGiaU0Z+awZqYTjkt4VF05wy8lszUMvCIb8tK1gA6dogv4fI8Pf+//buPUau8rzj+DOXXd8A3wDfcYIJ7C6XEK9tnEsBNarUQFFo0rhErUTiiFqgVkpiYdmNoiiKEiMjEqRKRZbFpZUqqKtGlRCm+YOUEEKc2CaOgfUajLG9xrcAtjFge2dmt3rPeoazZ2fn5ufMOc8535UQ9u7MM8/7ec7snP357Duvj7yB5m9+7V0hnjt+bHQYPnmKDN60XAY/f4ucc1eGuzA8nw9BLxklCb+TMcdWVkH43Ypa++9D+K1gTvitgGi0BOG30cEptk34rYhpsBTht8GhKbdM+K0MarAc4bfBoSm3TPitDGqsHOG3sYGF0K7F8HtMGL73jcqV4Z0v/VpyR4+MDcOX3SSDn795JAxfvJQw3CdE+B3CE8tIScJvG4Mi/FaYE+G3AqLREoTfRgen2DbhtyKmwVKE3waHptwy4bcyqMFyhN8Gh6bcMuG3MqixcoTfxgYWQrtJCL/HhOH79sqEl16Ujhd/5b2BZu7I4dFh+KTJMrh0mfcGmm6blELvMhnu6AhB10ZJwm8bcwqjS8LvMFT1axJ+K5gSfisgGi1B+G10cIptE34rYhosRfhtcGjKLRN+K4MaLEf4bXBoyi0TfiuDGitH+G1sYCG0m8Twe0wYvn9fZYsULwx/+9DoMHzipJEw/PM3y6C7MtyF4Z2dIWjHsyThdzzn0o6uCL/boXzhj0H4feGGQvitgGi0BOG30cEptk34rYhpsBTht8GhKbdM+K0MarAc4bfBoSm3TPitDGqsHOG3sYGF0G4awu8xYfiBt6TzpRel010Z/tKLkhs4ODoMnzBRBpe4K8NvlsHP/ZkXjA93TghBPx4lCb/jMYcouiD8jkK9+cck/G7ebMw9CL8VEI2WIPw2OjjFtgm/FTENliL8Njg05ZYJv5VBDZYj/DY4NOWWCb+VQY2VI/w2NrAQ2k1j+B1kzA0c8LZHcW+e6V0ZfvDA6DC8c8JIGP65L3hbpQwuuylRYTjhdwhPLCMlCb9tDIrwW2FOhN8KiEZLEH4bHZxi24TfipgGSxF+GxyacsuE38qgBssRfhscmnLLhN/KoMbKEX4bG1gI7RJ+j0V1b5jZ6cJwd2X4b1+U/N43xtzozJ1/I8VPXS2lhZ+Uwg2flkLPdSFMpz0lCb/b4xzHRyH8juNUxvZE+K0wJ8JvBUSjJQi/jQ5OsW3Cb0VMg6UIvw0OTbllwm9lUIPlCL8NDk25ZcJvZVBj5Qi/jQ0shHYJv+uj5o4f864K73zxBZnwq/+T/P59Y+40PHmKDC7ulcElN0lh8RIZvOmzMjTz0vrFY3ALwu8YDCGiFgi/I4Jv8mEJv5sEq3Zzwm8FRKMlCL+NDk6xbcJvRUyDpQi/DQ5NuWXCb2VQg+UIvw0OTbllwm9lUGPlCL+NDSyEdgm/m0fNvvMnmfDb30h+5w7p3PVH6dz+O8mcPj2mUGnuPBnsXSqF3mVS6F0ig5/pleGJk5p/wJDvQfgdMnCMyxN+x3g4vtYIvxXmRPitgGi0BOG30cEptk34rYhpsBTht8GhKbdM+K0MarAc4bfBoSm3TPitDGqsHOG3sYGF0C7htw5q/q03pePlHdKx/ffS+fI26Xhll2QGz40unstJoatHBhcvkcKSZVJYvFQK13SJZLM6TbRYhfC7RbgE3I3w28YQCb8V5kT4rYBotATht9HBKbZN+K2IabAU4bfBoSm3TPitDGqwHOG3waEpt0z4rQxqrBzht7GBhdAu4XcIqCKSKRSk49Vd0rFjm3S8vE06d2yX/L69IsPDox5weMpFMnjjYhnsXSLF3mVyzm2Xcull4TQ1TlXC77Zyx+rBCL9jNY5xmyH8VpgT4bcCotEShN9GB6fYNuG3IqbBUoTfBoem3DLhtzKowXKE3waHptwy4bcyqLFyhN/GBhZCu4TfIaCOU9JtjdJZvjLc+/92yb77zphbl+bM9bZLKS5e6v3f7SU+PGlyaI0SfodGG/vChN+xH5HXIOG3wpwIvxUQjZYg/DY6OMW2Cb8VMQ2WIvw2ODTllgm/lUENliP8Njg05ZYJv5VBjZUj/DY2sBDaJfwOAbWJkrmD+6XTXR2+Y/vI/3ftlMy5s6MrZLNSuKbbeyNNt12Kt494V4/adimE300MLGE3Jfy2MVDCb4U5EX4rIBotQfhtdHCKbRN+K2IaLEX4bXBoyi0TfiuDGixH+G1waMotE34rgxorR/htbGAhtEv4HQLqhZQslaTjtVfOB+IjV4fn33h97HYpk6fI4Kc/472RZsG7OnyplObNb+mRCb9bYkvEnQi/bYyR8FthToTfCohGSxB+Gx2cYtuE34qYBksRfhscmnLLhN/KoAbLEX4bHJpyy4TfyqDGyhF+GxtYCO0SfoeAqlwy8+EH0rl9m3T+Ybv3hpodL2+X3PFjYx6lNGu2F4S7N9L0tkvpXSLDk6fU7Ybwuy5RYm9A+G1jtITfCnMi/FZANFqC8Nvo4BTbJvxWxDRYivDb4NCUWyb8VgY1WI7w2+DQlFsm/FYGNVaO8NvYwEJol/A7BNQ2lMwNHJTOl7dJxx92jATjW39T9VGLiz4lhRtulLN3flWGpk+X4oIrpLRg4ajbEn63YWAxfQjC75gOJtAW4bfCnAi/FRCNliD8Njo4xbYJvxUxDZYi/DY4NOWWCb+VQQ2WI/w2ODTllgm/lUGNlSP8NjawENol/A4BNaKSbr/wzm2/k46dL3vBeH5Pf9VO3JtnFnquleLVXVLs7pFJn7lBPryqSz66bE5EnfOwUQkQfkcl39zjEn4351X11oTfCohGSxB+Gx2cYtuE34qYBksRfhscmnLLhN/KoAbLEX4bHJpyy4TfyqDGyhF+GxtYCO0SfoeAGpOSmY8+lI5Xd0nHrj9K/rVXpKN/t+T39En2/ferh+IXXeS9kWbxmm4p9lwrhau7pdjVLaU5c2OyItrQFiD81hYNpx7ht4Ir4bcCotEShN9GB6fYNuG3IqbBUoTfBoem3DLhtzKowXKE3waHptwy4bcyqLFyhN/GBhZCu4TfIaDGvGTu6BHJ9++Wjj19ktvdJ5Pe6JdMX59kTlcPxYemTZPi1d1S6O7xrhQvXtMjha5uGbrs8pivlPbqCRB+1xOKx9cJvxXmQPitgGi0BOG30cEptk34rYhpsBTht8GhKbdM+K0MarAc4bfBoSm3TPitDGqsHOG3sYGF0C7hdwioxkqW9/wu7D8o+T27paO/T/J9r438eU+/uDfcrPYxNGOGFK7p8a4OL7orxrt6pNBznbe3OB82BAi/bcyJ8FthToTfCohGSxB+Gx2cYtuE34qYBksRfhscmnLLhN/KoAbLEX4bHJpyy4TfyqDGyhF+GxtYCO0SfoeAaqxkvTe8dG+u2bFnt3e1eL7/tZHtU17fI25blaqh+MxLR7ZPcaF497XeVeLF7utkaOpUYzLJb5fw28aMCb8V5kT4rYBotATht9HBKbZN+K2IabAU4bfBoSm3TPitDGqwHOG3waEpt0z4rQxqrBzht7GBhdAu4XcIqMZK1gu/qy5neFhyAwe8INz9l/OH4mfPVL1L6fJZXiDurhYvdY9snVLsulaGLrnEmFhy2iX8tjFLwm+FORF+KyAaLUH4bXRwim0TfitiGixF+G1waMotE34rgxosR/htcGjKLRN+K4MaK0f4bWxgIbRL+B0CqrGSLYXfNdaY37fXuzK8Y/drkt/dJ/nX+7033qz2MTxhogz2LvW+VFx0lQzNniOSz0tp9hwpLVgopbnzpHjVp4yJ2mmX8NvGrAi/FeZE+K2AaLQE4bfRwSm2TfitiGmwFOG3waEpt0z4rQxqsBzht8GhKbdM+K0Maqwc4bexgYXQLuF3CKjGSmqH3+MtP7/3Dcm/sUc6+l4dCcX39EnH7r6GtIZmXirFhZ+Q0py5Upq3QIYWLJDS/CukNH+BFOcv4M03G1IceyPC7xbh2nw3wm8FcMJvBUSjJQi/jQ5OsW3Cb0VMg6UIvw0OTbllwm9lUIPlCL8NDk25ZcJvZVBj5Qi/jQ0shHYJv0NANVayXeH3eCy548ck6/7703HJ739LsofflvzB/ZI7dEhyhw5K7u1DDYkWP7lISldcIaW586V0xUIpzZvvBeWl+fOluIirx6shEn43dGhFfiPCb4UREH4rIBotQfhtdHCKbRN+K2IaLEX4bXBoyi0TfiuDGixH+G1waMotE34rgxorR/htbGAhtEv4HQKqsZJRh991uYaGJHfksOTeHpDcoQHJHzokWReKDxz0/u4+n33//dplMhkZuvQy7ypxd7W4d/W4C8rnjVw57j7nri5P2wfht42Jpz78PnN2UH7w4GPyzHNbKxN74uG1svTGrsrfg7f50ZqV8pXbbq58nfDbxsEeRpeE32Go2qpJ+G1rXtrdEn5ri9qrR/htb2baHRN+a4vaq0f4bW9mmh0Tfmtq2qxF+G1zbppdxz78bmCxmY8+lPwBd7X4gBeKj1w9fkByh9/23pizkavH3f7j3tXibksVd8X4nLki2az36INfuGVUF8OTJsnQtGkyNG26DM2Y2UCH8bwJ4Xc85xLsKvXh94lTp+Xxp56Ve+++UyZN7JRtO/tl3fpNsnHDalm0cK6Ug+/lvT2jAm8/JOG3jYM9jC4Jv8NQtVWT8NvWvLS7JfzWFrVXj/Db3sy0Oyb81ha1V4/w297MNDsm/NbUtFmL8Nvm3DS7TkL43YiHd6X44UOSH3BXix+SrAvFz185nh84KJkPPmikTNXbDE+5SIamTpWhqSOB+LD7swvHL5kmw9PP/33q9JHbTJsmw/4/T57S8uNe6B0Jvy9UsD33T334HWR2Yfi9a38mq1et8K7+/vmWF2T/wFH57qoV406E8Ls9B2scH4XwO45TaW9PhN/t9Y7boxF+x20i7e+H8Lv95nF7RMLvuE2k/f0QfrffPE6PSPgdp2lE0wvhdzTucXrUtITf9cyzp05VtlZxobjbg7z84a4sz548KZn3T0n21EnJnjgh7vaZUyP/v9APt+XKSHDugvFplT8PzZ0ngzd9rlJ+OJcVyeVEsjkZdv8v/+f+ns+L5LIjn89+/DX/34fzI593V7m7D8LvC51ce+5P+B1wfvPAYfne+k3y43X3eFd+/3TjZnn0yS2VW82ZNbNyVXj5k8dOnG3PtHiU2AlMv6hTPjhXlEJhKHa90VB7BGZNnyhp/x6QyWTagx3DR3E/8F40OS8nThdi2B0ttUNg8sScuOfAh2eK7Xg4HiNuAsMi0y7ukI/OFmWwOBy37uinTQKXTZ0g75w6JxwBbQKP2cO4HOSSyR3yXgrPBYaHOerd4ThlQk4y2Yx8wLlAzJ6d7Wtn2pQOOTNYknPkAi2jjwThJ0cC8vOBeObk+WD8pPu8+7P72vnbuM+5Px8/1vJjqtyR74MqjGEXIfz2CQe3OCn//Wt33FrZA9xdCb756eflkQe+I9OnXuzdu1gi+Az7QI1r/Vw2I0NDw/ywE9cBtaGvfC6b6u8BxdKw5HPpDb9d6JnNZKQ0xOtAG55usXwIN3/3McSJbyznE3ZTxZLIhI6sN39CoLC141s/7ecC8Z1MezrLSEay2XSeC7ifg93xn/YPdz7ozgY4F0jvkeC+B7hTQc4FIjwGjhzxgnE5cVLEBegnToicdP+dFDl6TOTYUcm8845IoSBSKn38X7F4/s9DH39uaOTrmaq3K4mcOfPxQvkZIMKhN/7QhN/nrcpB9+zLZ1S2OKkWfge3RXF3Z9uTxg+4pN2SbU+SNtHm18O2J82bJekebHuSpGm2tha2PWnNLUn3YtuTJE2ztbWw7Ulrbkm5F9ueJGWSra+DbU9at0vKPdn2JCmTbH4dbHvSvFkU9yD8Fqm8qaU/+C4Pw2178okFsytvdunC73U/2ST333eXty0K4XcUh218HpPwOz6ziKoTwu+o5OPxuITf8ZhDlF0QfkepH4/HJvyOxxyi7ILwO0r96B+b8Dv6GUTdAeF31BOI/vEJv6OfQVQdEH5HJd/c46Y+/A5udRLk27azX9at31TZ59tte7J1R5/88P6VMmliJ+F3c8db4m5N+J24kTa9IMLvpskSdQfC70SNs6XFEH63xJaoOxF+J2qcLS2G8LsltsTcifA7MaNseSGE3y3TJeaOhN+JGWXTCyH8bposkjukPvx2b3C5as1DcuTYu6MG8K2v31bZ/sQF3t/f8Jj39eu7rxy137f7HNueRHLsxuJBCb9jMYZImyD8jpQ/8gcn/I58BJE3QPgd+Qgib4DwO/IRRN4A4XfkI4i0AcLvSPlj8eCE37EYQ6RNEH5Hyh/pgxN+R8rf8IOnPvxuWKrGDQm/NRRt1iD8tjk3za4JvzU17dUi/LY3M+2OCb+1Re3VI/y2NzPtjgm/tUVt1SP8tjWvMLol/A5D1VZNwm9b89LslvBbUzO8WoTfCraE3wqIRksQfhsdnGLbhN+KmAZLEX4bHJpyy4TfyqAGyxF+GxyacsuE38qgxsoRfhsbWAjtEn6HgGqsJOG3sYEptkv4rYgZYinCbwVcwm8FRKMlCL+NDk6xbcJvRUyDpQi/DQ5NuWXCb2VQg+UIvw0OTbllwm9lUGPlCL+NDSyEdgm/Q0A1VpLw29jAFNsl/FbEDLEU4bcCLuG3AqLREoTfRgen2DbhtyKmwVKE3waHptx5jzWqAAASmUlEQVQy4bcyqMFyhN8Gh6bcMuG3MqixcoTfxgYWQruE3yGgGitJ+G1sYIrtEn4rYoZYivA7RFxKI4AAAggggAACCCCAAAIIIIAAAggggAACCEQjQPgdjTuPigACCCCAAAIIIIAAAggggAACCCCAAAIIIBCiAOF3iLiURgABBBBAAAEEEEAAAQQQQAABBBBAAAEEEIhGgPA7GnceFQEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBEAcLvFnF/vuUF+f6Gx7x73/7F5fLD+1fKpImdLVbjbnEXePPAYVm15iE5cuzdSqvXd18pjzzwHZk+9WI5ceq03Lv2Z/LK7n3e1594eK0svbEr7suivwYE3HN9/8BR+e6qFaNuXW/mfI9oANfITX66cbN8YsFs+cptN1c6Ds7ffWHOrJmyccNqWbRwrpw5Oyg/ePAxeea5rd59frRm5aj7G1l6qtsMft/3f88vw9R6ntf7HpFqXCOL37azX77x7Qcq3QbP9/zzL9/oW1+/rfJ64b9/tePHCEOq2wzOOPi9vN7znHMB+4ePOwd49MktlYX4z/E5F7A/32ZWUD4vuO/uL486p6v1POd8sBnh+N+22jFQ71yg3utE/FdNhwgkQ4Dwu4U5uh9mHtq4uRJ8upMi9xEMx1oozV1iKuBe6L63fpP8eN09XrDl/yif1Czv7fFOhGrdNqbLo60qAv7Qwh9muJvWmznfI5JxSPlPZscLPFavWlH1H7r8rwvlk97xbpsMreStwj2PBw4fr/yA62Z69Ph7lX/srvU8r/c9InlayVyR+x6wYO7l3nO8PNPZl8+onO+5r2/d0Vf1AojguUCt2yZTz/6q3Mwf+bf/kW/e9aVRFzqUv5fXe55zLmD/GHCv348/9azce/ed3kVOwed1vdd3zgXsHwPlFfj/Qdx/Tljvec4xkPxjoNbre73XieTosBIE4i9A+N3CjIJXAQZf9FooyV1iLlAr0HZfe/Bfn5L1/3yP98NR8EUu5kujvToC1a78rjdzvkck67CqdeV3tUDb/TC87ieb5P777qr8Yxn/SGr/mKj2A67/NwL8X3/v5GleF+yPfMwKgj/g1vqBN/jawT+M2z8gqoUYtc7/OBewP/PgCoJhd63wm3OB5My/PMt/XPnX8u+bfyHlC57cCms9z93XOR9MxnFQ6xio9w/h5ATJOAZYhX0Bwu8mZ1gt2OQHmiYRDd681q+/V/vHD4Iug0Mep+Vq4Xetmburg9x2F/4TY75H2D4eGtn2xL/lSbV5c9Wn7WPAde+foft7ref5eyfeH/UbYuUfkN3/+S0xu8dC8LU9+KvO/t8SCt623hWidlXS03n5XHD9unu83wbgXCA9sy+v1M183fpNlS3OgtsZcC6QvGPC/737uq4rR73218sFnEbwN4c5H7R3jNQ6Bsrnh+XtcN3fg9uf+XcM4HzQ3vzpODkChN9NzrL8Ive1O26t/Ko7wVaTiAm4uf/X31/t3yf/9fTzo37tmfA7AUM+v4Txwu/xZl4Ov/kekZxjoFr4HVydO042P/28tx1W8KrfYHDK+0PYOzaCr/P1zgVc+M3rgr051+q43m/5lX84XnHHrd5WOcHvG4Tfdo8Hf8AZ3O6AcwG7c22mc/9FMLXe14dzgWZU43/b4Gt9MOyudy7gVui/6pfzwfjPPNhhvWMgePvguYA7d+B80N7c6TiZAoTfTc613r/wBveDbrI8Nzci4N/2Yu9bb3OFn5G5tdImV363opas+zQSfvt/vdmtnit9knMMBK/2dCurdy7Ald/Jmb9bSfBqz/FW53+94MrvZB0D1Z73XPmdvBnXW1G9f8TiXKCeoK2vV3tD0/IK3D+EfenPl9f8LTDOB23Nu1q39Y4B94/dwQ//uQC/IW7/GGAFyREg/G5hluzh1wJawu7iD7/Z2zVhww0shz2/kz3fRlbXbPg9Y9rF7PHYCKyB21QLvstt1zoX4HXBwHAbbLHR4NuV879esOd3g8DGbuafK+//YWx4Su3WOifwh9+cCyiBx6hMtX/4Zs/vGA2oDa008t5ezbxOtKFlHgIBBM4LEH63cCjUe1fnFkpyl5gL/OL538tVn5xf9c3reBfnmA/vAturFn7XmznfIy4QPWZ3r/aDrpux+3D7vpZDr607+irbH/mv+qx3pVjMlks75wXqbWlW63le73sEyDYEam114mb838/8Sr56+y3itjIKPs+Dxw/7vNqYub9LN9PHn3pW3HZm/hmXt7ap9zznXMDezIMdu+fxc7/eIf/w93d4X6q27zvnAvbn3OgKqgWf9Z7nnA82qmvjdtW2vql1LlDvdcLGqukSgWQIEH63OEf/mxzd/sXlo/Z7brEkd4uxgDux+ca3H6h0GJx58Feiau0HGONl0ppPIDhz9yX/XOvNnO8R9g+n4JvZBd/IatWah+TIsXe9hV7ffaW33/f0qRd7fy+f7D7z3Fbv7/59Yu3LpGMFwfmXV+3/PlDreV7ve0Q6FG2v0oUWjz65ZdQi/N8Hgl8PPs/9ryPB7xG2ZdLTfb0Z13uecy5g+1gJvpYHzwX9e4FzLmB71o10P95Vv7We55wPNiJr5zbjXf3vP1cIngvUe52ws3o6RcC2AOG37fnRPQIIIIAAAggggAACCCCAAAIIIIAAAggggEAVAcJvDgsEEEAAAQQQQAABBBBAAAEEEEAAAQQQQACBxAkQfidupCwIAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAgPCbYwABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAgcQKE34kbKQtCAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQIPzmGEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBInADhd+JGyoIQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEECL85BhBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQSJ0D4nbiRsiAEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABwm+OAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAIHECRB+J26kLAgBBBBAAAEEEEAAAQQQQAABBBBAAAEEEECA8JtjAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQCBxAoTfiRspC0IAAQQQQAABBBBAAAEEEEAAAQQQQAABBBAg/OYYQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEicAOF34kbKghBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQIvzkGEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBInQPiduJGyIAQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAHCb44BBBBAAAEEEEAAAQQiFvj5lhdk644++eH9K2XSxM6Iu+HhEUAAAQQQQAABBBBIhgDhdzLmyCoQQAABBBBAAIHECZw5Oyg/ePAxeea5raPWNmfWTNm4YbUsWjjX+7wLjjc//bw88sB3ZPrUi006EH6bHBtNI4AAAggggAACCMRcgPA75gOiPQQQQAABBBBAIK0C5fB79uUz5LurVlQYfrpxs/x+Z7/psDs4U8LvtB7lrBsBBBBAAAEEEEAgTAHC7zB1qY0AAggggAACCCDQssB44XfwSu9gcFz++1/9xWfl3rU/8x4/eLV4sKnyYy3v7ZH9A0fl0Se3eDe5/YvLK1uRnDh12qu3etUKWXpjl/d1//2+ctvNUr7NN//2L+Xx//xfeWX3Pu92P1qzUj597VWyas1DcuTYu97nnnh4baVOuecbehbJ+n/5D+/r13dfOSbgd7f7/obHKu1Xq+Fft//rLQ+COyKAAAIIIIAAAgggYFSA8Nvo4GgbAQQQQAABBBBIukC18Lva56qF3y4g/tbXb6tcMe6uFj96/L1x99T2b7FSDozLQfaKO24Vf7DdSPjtZlPehmXbzn75xrcfGBVmu889tHFz5TblUNuF5O6x3Eew5+A63zxw2AvT16+7xwvRyzX86076McL6EEAAAQQQQAABBBCoJUD4zfGBAAIIIIAAAgggEEuB8fb8ds36Q+Lxrvz2v3lkMGwOLjh4BXf56y6Adh9u25Vmrvz2B+TV7hf8XLVtT1y4/b31m+TH6+6RGdMulnU/2ST333dXZa/zckBe7o+tU2J5GNMUAggggAACCCCAQIQChN8R4vPQCCCAAAIIIIAAAuMLjLftSfCK7KSG3/6AfMb0S0ZtmeJXK1/pTfjNswkBBBBAAAEEEEAAgdEChN8cEQgggAACCCCAAAKxFBgv/HbN+oPeZ3+5Vbbu6KtsaVItBLZ45Xcw/C5fBb5o4dyq8yL8juVhTFMIIIAAAggggAACEQoQfkeIz0MjgAACCCCAAAIIjC9QK/z274ed1PA7uO1J8M02g3KE3zybEEAAAQQQQAABBBAYLUD4zRGBAAIIIIAAAgggEEuB8cLv8hs93nf3l703h2zXtifjvdmme3PN8h7kjezv7bDr7fld7bFc4L/ll7+TjRtWV/b9dle0Dxw+XtUhlkOlKQQQQAABBBBAAAEE2ihA+N1GbB4KAQQQQAABBBBAoHGBWm94+cTDa2XpjV1esXaF3/7Q+pXd+7zHXvdPfye7+t6U5b09XgB9IeG3C9H9H+W9vP2fc2v1327OrJmVMJwrvxs/trglAggggAACCCCAQDoECL/TMWdWiQACCCCAAAIIIIAAAggggAACCCCAAAIIpEqA8DtV42axCCCAAAIIIIAAAggggAACCCCAAAIIIIBAOgQIv9MxZ1aJAAIIIIAAAggggAACCCCAAAIIIIAAAgikSoDwO1XjZrEIIIAAAggggAACCCCAAAIIIIAAAggggEA6BAi/0zFnVokAAggggAACCCCAAAIIIIAAAggggAACCKRKgPA7VeNmsQgggAACCCCAAAIIIIAAAggggAACCCCAQDoECL/TMWdWiQACCCCAAAIIIIAAAggggAACCCCAAAIIpEqA8DtV42axCCCAAAIIIIAAAggggAACCCCAAAIIIIBAOgQIv9MxZ1aJAAIIIIAAAggggAACCCCAAAIIIIAAAgikSoDwO1XjZrEIIIAAAggggAACCCCAAAIIIIAAAggggEA6BAi/0zFnVokAAggggAACCCCAAAIIIIAAAggggAACCKRKgPA7VeNmsQgggAACCCCAAAIIIIAAAggggAACCCCAQDoECL/TMWdWiQACCCCAAAIIIIAAAggggAACCCCAAAIIpEqA8DtV42axCCCAAAIIIIAAAggggAACCCCAAAIIIIBAOgQIv9MxZ1aJAAIIIIAAAggggAACCCCAAAIIIIAAAgikSoDwO1XjZrEIIIAAAggggAACCCCAAAIIIIAAAggggEA6BAi/0zFnVokAAggggAACCCCAAAIIIIAAAggggAACCKRKgPA7VeNmsQgggAACCCCAAAIIIIAAAggggAACCCCAQDoECL/TMWdWiQACCCCAAAIIIIAAAggggAACCCCAAAIIpEqA8DtV42axCCCAAAIIIIAAAggggAACCCCAAAIIIIBAOgQIv9MxZ1aJAAIIIIAAAggggAACCCCAAAIIIIAAAgikSoDwO1XjZrEIIIAAAggggAACCCCAAAIIIIAAAggggEA6BAi/0zFnVokAAggggAACCCCAAAIIIIAAAggggAACCKRKgPA7VeNmsQgggAACCCCAAAIIIIAAAggggAACCCCAQDoECL/TMWdWiQACCCCAAAIIIIAAAggggAACCCCAAAIIpEqA8DtV42axCCCAAAIIIIAAAggggAACCCCAAAIIIIBAOgQIv9MxZ1aJAAIIIIAAAggggAACCCCAAAIIIIAAAgikSoDwO1XjZrEIIIAAAggggAACCCCAAAIIIIAAAggggEA6BAi/0zFnVokAAggggAACCCCAAAIIIIAAAggggAACCKRKgPA7VeNmsQgggAACCCCAAAIIIIAAAggggAACCCCAQDoECL/TMWdWiQACCCCAAAIIIIAAAggggAACCCCAAAIIpEqA8DtV42axCCCAAAIIIIAAAggggAACCCCAAAIIIIBAOgQIv9MxZ1aJAAIIIIAAAggggAACCCCAAAIIIIAAAgikSoDwO1XjZrEIIIAAAggggAACCCCAAAIIIIAAAggggEA6BAi/0zFnVokAAggggAACCCCAAAIIIIAAAggggAACCKRKgPA7VeNmsQgggAACCCCAAAIIIIAAAggggAACCCCAQDoECL/TMWdWiQACCCCAAAIIIIAAAggggAACCCCAAAIIpEqA8DtV42axCCCAAAIIIIAAAggggAACCCCAAAIIIIBAOgQIv9MxZ1aJAAIIIIAAAggggAACCCCAAAIIIIAAAgikSuD/AVoBcPHSXgu9AAAAAElFTkSuQmCC",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"Diffusion. System snapshot at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "192a4ac0-3cc0-4c73-af6f-d5bbb019b0db",
"metadata": {},
"source": [
"#### Getting decisively flatter, as it approaches equilibrium"
]
},
{
"cell_type": "markdown",
"id": "0ddb082f-211e-4b49-b40b-d4d7df03d99c",
"metadata": {},
"source": [
"## Now, let's look how the amplitude of the sine signal, relative to the constant bias, changed over time"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "f86992f4-a943-4ef6-8889-496cb451e094",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 2=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "purple",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"showlegend": true,
"type": "scattergl",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499,
500,
501,
502,
503,
504,
505,
506,
507,
508,
509,
510,
511,
512,
513,
514,
515,
516,
517,
518,
519,
520,
521,
522,
523,
524,
525,
526,
527,
528,
529,
530,
531,
532,
533,
534,
535,
536,
537,
538,
539,
540,
541,
542,
543,
544,
545,
546,
547,
548,
549,
550,
551,
552,
553,
554,
555,
556,
557,
558,
559,
560,
561,
562,
563,
564,
565,
566,
567,
568,
569,
570,
571,
572,
573,
574,
575,
576,
577,
578,
579,
580,
581,
582,
583,
584,
585,
586,
587,
588,
589,
590,
591,
592,
593,
594,
595,
596,
597,
598,
599,
600,
601,
602,
603,
604,
605,
606,
607,
608,
609,
610,
611,
612,
613,
614,
615,
616,
617,
618,
619,
620,
621,
622,
623,
624,
625,
626,
627,
628,
629,
630,
631,
632,
633,
634,
635,
636,
637,
638,
639,
640,
641,
642,
643,
644,
645,
646,
647,
648,
649,
650,
651,
652,
653,
654,
655,
656,
657,
658,
659,
660,
661,
662,
663,
664,
665,
666,
667,
668,
669,
670,
671,
672,
673,
674,
675,
676,
677,
678,
679,
680,
681,
682,
683,
684,
685,
686,
687,
688,
689,
690,
691,
692,
693,
694,
695,
696,
697,
698,
699,
700,
701,
702,
703,
704,
705,
706,
707,
708,
709,
710,
711,
712,
713,
714,
715,
716,
717,
718,
719,
720,
721,
722,
723,
724,
725,
726,
727,
728,
729,
730,
731,
732,
733,
734,
735,
736,
737,
738,
739,
740,
741,
742,
743,
744,
745,
746,
747,
748,
749,
750,
751,
752,
753,
754,
755,
756,
757,
758,
759,
760,
761,
762,
763,
764,
765,
766,
767,
768,
769,
770,
771,
772,
773,
774,
775,
776,
777,
778,
779,
780,
781,
782,
783,
784,
785,
786,
787,
788,
789,
790,
791,
792,
793,
794,
795,
796,
797,
798,
799,
800,
801,
802,
803,
804,
805,
806,
807,
808,
809,
810,
811,
812,
813,
814,
815,
816,
817,
818,
819,
820,
821,
822,
823,
824,
825,
826,
827,
828,
829,
830,
831,
832,
833,
834,
835,
836,
837,
838,
839,
840,
841,
842,
843,
844,
845,
846,
847,
848,
849,
850,
851,
852,
853,
854,
855,
856,
857,
858,
859,
860,
861,
862,
863,
864,
865,
866,
867,
868,
869,
870,
871,
872,
873,
874,
875,
876,
877,
878,
879,
880,
881,
882,
883,
884,
885,
886,
887,
888,
889,
890,
891,
892,
893,
894,
895,
896,
897,
898,
899,
900,
901,
902,
903,
904,
905,
906,
907,
908,
909,
910,
911,
912,
913,
914,
915,
916,
917,
918,
919,
920,
921,
922,
923,
924,
925,
926,
927,
928,
929,
930,
931,
932,
933,
934,
935,
936,
937,
938,
939,
940,
941,
942,
943,
944,
945,
946,
947,
948,
949,
950,
951,
952,
953,
954,
955,
956,
957,
958,
959,
960,
961,
962,
963,
964,
965,
966,
967,
968,
969,
970,
971,
972,
973,
974,
975,
976,
977,
978,
979,
980,
981,
982,
983,
984,
985,
986,
987,
988,
989,
990,
991,
992,
993,
994,
995,
996,
997,
998,
999,
1000
],
"xaxis": "x",
"y": [
0.3333333333333333,
0.33229687657832013,
0.33127505940246393,
0.3302639494810557,
0.3292620556172948,
0.3282684966544098,
0.3272826664451653,
0.32630411177666463,
0.3253324751943875,
0.3243674640487063,
0.32340883204062837,
0.32245636742782763,
0.32150988507949846,
0.320569220897644,
0.31963422776659867,
0.31870477252968366,
0.3177807336794705,
0.3168619995579014,
0.31594846692952133,
0.31504003983347806,
0.31413662864761505,
0.31323814931653576,
0.31234452270825497,
0.3114556740729803,
0.31057153258394904,
0.30969203094487885,
0.3088171050520108,
0.30794669370128047,
0.3070807383330906,
0.3062191828086434,
0.3053619732129406,
0.3045090576804572,
0.30366038624020786,
0.3028159106774881,
0.30197558441002453,
0.301139362376638,
0.3003072009368191,
0.2994790577798618,
0.29865489184239835,
0.2978346632333524,
0.29701833316545667,
0.2962058638926085,
0.29539721865242385,
0.2945923616134432,
0.29379125782650434,
0.292993873179862,
0.29220017435768636,
0.2914101288016101,
0.29062370467503984,
0.28984087082997484,
0.2890615967761059,
0.2882858468173719,
0.28751359762451434,
0.2867448205120304,
0.2859794873477265,
0.2852175705305735,
0.2844590429699061,
0.28370387806586206,
0.2829520496909642,
0.2822035321727594,
0.2814583002774346,
0.2807163291943383,
0.279977594521343,
0.27924207225098835,
0.27850973875735063,
0.27778057078358853,
0.2770545454301196,
0.2763316401433861,
0.2756118327051713,
0.27489510122242977,
0.2741814241176011,
0.2734707801193751,
0.272763148253881,
0.2720585078362764,
0.2713568384627096,
0.2706581200026351,
0.26996233259146185,
0.26926945662351326,
0.268579472745284,
0.26789236184897447,
0.26720810506629017,
0.2665266837624889,
0.26584807953066536,
0.26517227418625783,
0.26449924976176725,
0.26382898850167724,
0.26316147285756464,
0.2624966854833908,
0.2618346092309651,
0.2611752271455722,
0.26051852246175466,
0.2598644785992439,
0.2592130791590325,
0.25856430791958074,
0.2579181488331516,
0.2572745860222686,
0.2566336037762896,
0.2559951865480936,
0.25535931895087377,
0.2547259857550315,
0.2540951718851703,
0.2534668624171811,
0.2528410425754185,
0.252217697729962,
0.25159681339396006,
0.25097837522105226,
0.2503623690028683,
0.24974878066659797,
0.24913759627263282,
0.2485288020122728,
0.24792238420549886,
0.24731832929880693,
0.2467166238631006,
0.24611725459164266,
0.24552020829806026,
0.2449254719144045,
0.2443330324892595,
0.2437428771859026,
0.2431549932805107,
0.24256936816041297,
0.24198598932238735,
0.24140484437100035,
0.24082592101698744,
0.2402492070756731,
0.23967469046542944,
0.23910235920617243,
0.23853220141789286,
0.2379642053192226,
0.23739835922603472,
0.23683465155007485,
0.23627307079762527,
0.23571360556819843,
0.23515624455325998,
0.23460097653498072,
0.23404779038501553,
0.23349667506330962,
0.2329476196169301,
0.2324006131789227,
0.23185564496719357,
0.2313127042834138,
0.23077178051194736,
0.2302328631188008,
0.22969594165059534,
0.22916100573355935,
0.2286280450725409,
0.22809704945004075,
0.22756800872526428,
0.2270409128331921,
0.2265157517836685,
0.22599251566050807,
0.22547119462061951,
0.224951778893145,
0.22443425877861772,
0.22391862464813345,
0.22340486694253833,
0.22289297617163195,
0.22238294291338398,
0.22187475781316596,
0.2213684115829965,
0.22086389500080014,
0.220361198909679,
0.21986031421719768,
0.21936123189468038,
0.21886394297652037,
0.21836843855950086,
0.2178747098021285,
0.21738274792397644,
0.2168925442050406,
0.2164040899851046,
0.2159173766631169,
0.21543239569657657,
0.21494913860093098,
0.2144675969489813,
0.21398776237029904,
0.21350962655065084,
0.2130331812314335,
0.21255841820911656,
0.21208532933469487,
0.211613906513149,
0.21114414170291376,
0.21067602691535534,
0.2102095542142568,
0.20974471571530962,
0.20928150358561484,
0.2088199100431908,
0.2083599273564878,
0.20790154784391054,
0.20744476387334723,
0.2069895678617055,
0.20653595227445515,
0.2060839096251775,
0.20563343247512078,
0.2051845134327621,
0.2047371451533759,
0.20429132033860747,
0.20384703173605367,
0.203404272138848,
0.20296303438525282,
0.20252331135825577,
0.20208509598517294,
0.2016483812372561,
0.20121313287003195,
0.20077937145377456,
0.20034709008690854,
0.19991628191030497,
0.19948694010691267,
0.19905905790139683,
0.19863262855978042,
0.19820764538909125,
0.19778410173701327,
0.19736199099154184,
0.1969413065806438,
0.19652204197192236,
0.19610419067228463,
0.19568774622761503,
0.1952727022224513,
0.19485905227966546,
0.19444679006014826,
0.1940359092624972,
0.19362640362270891,
0.19321826691387517,
0.19281149294588162,
0.1924060755651113,
0.19200200865415118,
0.19159928613150157,
0.19119790195129022,
0.19079785010298855,
0.19039912461113143,
0.19000171953504094,
0.18960562896855235,
0.18921084703974356,
0.18881736791066778,
0.1884251857770893,
0.18803429486822157,
0.18764468944646898,
0.18725636380717126,
0.18686931227835032,
0.18648352922046052,
0.18609900902614135,
0.1857157461199723,
0.18533373495823185,
0.18495297002865724,
0.1845734458502082,
0.18419515697283262,
0.18381809797723478,
0.18344226347464593,
0.18306764810659784,
0.18269424654469787,
0.18232205349040717,
0.18195106367482064,
0.1815812718584498,
0.18121267283100667,
0.18084526141119198,
0.18047903244648292,
0.18011398081292548,
0.17975010141492703,
0.1793873891850524,
0.17902583908382094,
0.1786654460995063,
0.17830620524793808,
0.1779481115723049,
0.17759116014296045,
0.1772353460572304,
0.1768806644392219,
0.17652711043963465,
0.17617467923557378,
0.17582336603036472,
0.17547316605336988,
0.1751240745598067,
0.17477608683056786,
0.1744291981720432,
0.17408340391594285,
0.17373869941912282,
0.1733950800634113,
0.17305254125543768,
0.17271107842646177,
0.17237068703220623,
0.17203136255268925,
0.17169310049205921,
0.17135589637843138,
0.17101974576372514,
0.17068464422350357,
0.1703505873568138,
0.1700175707860295,
0.16968559015669424,
0.16935464113736645,
0.1690247194194658,
0.16869582071712094,
0.1683679407670188,
0.16804107532825455,
0.1677152201821837,
0.1673903711322754,
0.16706652400396615,
0.166743674644516,
0.16642181892286503,
0.16610095272949196,
0.16578107197627318,
0.1654621725963432,
0.16514425054395696,
0.16482730179435232,
0.1645113223436145,
0.16419630820854123,
0.1638822554265092,
0.16356916005534175,
0.16325701817317756,
0.16294582587834033,
0.16263557928920983,
0.16232627454409387,
0.16201790780110123,
0.16171047523801596,
0.16140397305217224,
0.16109839746033103,
0.16079374469855673,
0.16049001102209576,
0.16018719270525572,
0.15988528604128543,
0.1595842873422563,
0.15928419293894436,
0.15898499918071338,
0.1586867024353989,
0.1583892990891932,
0.15809278554653117,
0.15779715822997714,
0.1575024135801127,
0.1572085480554251,
0.15691555813219682,
0.15662344030439604,
0.1563321910835677,
0.1560418069987256,
0.1557522845962455,
0.15546362043975884,
0.15517581111004705,
0.15488885320493742,
0.1546027433391989,
0.15431747814443955,
0.15403305426900393,
0.15374946837787198,
0.15346671715255858,
0.1531847972910133,
0.1529037055075216,
0.15262343853260643,
0.1523439931129306,
0.15206536601120021,
0.15178755400606825,
0.15151055389203927,
0.15123436247937497,
0.15095897659400004,
0.15068439307740877,
0.15041060878657303,
0.1501376205938498,
0.14986542538689054,
0.14959402006855013,
0.14932340155679774,
0.1490535667846269,
0.14878451269996756,
0.1485162362655982,
0.14824873445905817,
0.14798200427256172,
0.14771604271291153,
0.1474508468014136,
0.1471864135737927,
0.14692274008010814,
0.14665982338467035,
0.14639766056595774,
0.1461362487165349,
0.14587558494297062,
0.14561566636575674,
0.14535649011922774,
0.14509805335148088,
0.14484035322429653,
0.14458338691305977,
0.14432715160668175,
0.14407164450752233,
0.14381686283131237,
0.14356280380707787,
0.14330946467706343,
0.1430568426966567,
0.14280493513431364,
0.14255373927148374,
0.14230325240253622,
0.1420534718346866,
0.14180439488792362,
0.1415560188949369,
0.14130834120104516,
0.14106135916412438,
0.1408150701545373,
0.14056947155506241,
0.1403245607608249,
0.140080335179226,
0.1398367922298749,
0.13959392934451972,
0.13935174396697947,
0.13911023355307653,
0.1388693955705697,
0.13862922749908688,
0.1383897268300595,
0.1381508910666562,
0.13791271772371774,
0.13767520432769212,
0.1374383484165696,
0.1372021475398194,
0.13696659925832547,
0.13673170114432345,
0.13649745078133801,
0.13626384576412032,
0.13603088369858618,
0.13579856220175449,
0.13556687890168598,
0.13533583143742264,
0.13510541745892735,
0.13487563462702382,
0.13464648061333717,
0.1344179531002348,
0.13419004978076746,
0.13396276835861104,
0.13373610654800847,
0.13351006207371213,
0.13328463267092663,
0.13305981608525186,
0.13283561007262662,
0.13261201239927217,
0.1323890208416369,
0.1321666331863405,
0.1319448472301191,
0.1317236607797706,
0.13150307165210012,
0.13128307767386627,
0.13106367668172708,
0.13084486652218713,
0.1306266450515442,
0.13040901013583692,
0.13019195965079222,
0.12997549148177348,
0.12975960352372892,
0.12954429368114012,
0.12932955986797115,
0.12911540000761795,
0.12890181203285772,
0.1286887938857992,
0.12847634351783271,
0.12826445888958088,
0.12805313797084944,
0.1278423787405785,
0.12763217918679406,
0.12742253730655972,
0.127213451105929,
0.1270049185998975,
0.12679693781235576,
0.12658950677604225,
0.12638262353249669,
0.1261762861320134,
0.1259704926335955,
0.1257652411049089,
0.1255605296222366,
0.12535635627043368,
0.1251527191428821,
0.12494961634144601,
0.12474704597642727,
0.12454500616652142,
0.12434349503877352,
0.12414251072853469,
0.12394205137941856,
0.12374211514325838,
0.12354270018006396,
0.12334380465797916,
0.12314542675323963,
0.12294756465013051,
0.12275021654094491,
0.12255338062594194,
0.12235705511330587,
0.1221612382191046,
0.12196592816724912,
0.12177112318945288,
0.12157682152519134,
0.12138302142166199,
0.12118972113374452,
0.12099691892396103,
0.12080461306243682,
0.12061280182686121,
0.12042148350244865,
0.12023065638189982,
0.12004031876536356,
0.11985046896039829,
0.11966110528193426,
0.11947222605223569,
0.11928382960086324,
0.1190959142646366,
0.11890847838759755,
0.11872152032097288,
0.11853503842313796,
0.11834903105958001,
0.11816349660286217,
0.11797843343258718,
0.11779383993536177,
0.11760971450476099,
0.11742605554129282,
0.11724286145236287,
0.11706013065223975,
0.11687786156201978,
0.1166960526095928,
0.11651470222960768,
0.11633380886343815,
0.11615337095914872,
0.11597338697146117,
0.11579385536172067,
0.11561477459786249,
0.11543614315437897,
0.11525795951228625,
0.11508022215909165,
0.11490292958876093,
0.1147260803016859,
0.1145496728046523,
0.11437370561080745,
0.11419817723962856,
0.11402308621689115,
0.11384843107463723,
0.11367421035114411,
0.11350042259089338,
0.11332706634453973,
0.1131541401688803,
0.11298164262682388,
0.11280957228736067,
0.11263792772553184,
0.11246670752239951,
0.11229591026501672,
0.11212553454639783,
0.11195557896548873,
0.11178604212713766,
0.11161692264206562,
0.11144821912683758,
0.11127993020383337,
0.11111205450121896,
0.11094459065291794,
0.11077753729858288,
0.11061089308356721,
0.11044465665889709,
0.11027882668124325,
0.11011340181289353,
0.10994838072172486,
0.10978376208117596,
0.10961954457022005,
0.1094557268733374,
0.1092923076804886,
0.1091292856870874,
0.1089666595939742,
0.10880442810738924,
0.10864258993894628,
0.10848114380560646,
0.10832008842965181,
0.10815942253865941,
0.10799914486547556,
0.1078392541481901,
0.10767974913011079,
0.10752062855973775,
0.10736189119073833,
0.107203535781922,
0.10704556109721507,
0.10688796590563611,
0.10673074898127098,
0.10657390910324857,
0.1064174450557158,
0.10626135562781377,
0.1061056396136534,
0.10595029581229116,
0.10579532302770556,
0.10564072006877288,
0.10548648574924395,
0.1053326188877201,
0.1051791183076302,
0.10502598283720734,
0.1048732113094651,
0.10472080256217543,
0.10456875543784498,
0.10441706878369268,
0.10426574145162688,
0.10411477229822312,
0.10396416018470149,
0.10381390397690417,
0.10366400254527362,
0.10351445476483051,
0.10336525951515146,
0.10321641568034746,
0.10306792214904219,
0.10291977781435033,
0.1027719815738562,
0.10262453232959244,
0.10247742898801854,
0.10233067046000008,
0.10218425566078737,
0.10203818350999493,
0.10189245293158045,
0.10174706285382414,
0.10160201220930827,
0.10145729993489674,
0.1013129249717147,
0.10116888626512825,
0.10102518276472434,
0.10088181342429108,
0.10073877720179727,
0.10059607305937308,
0.10045369996329015,
0.10031165688394207,
0.10016994279582478,
0.10002855667751742,
0.09988749751166277,
0.09974676428494844,
0.09960635598808734,
0.09946627161579917,
0.09932651016679114,
0.09918707064373963,
0.09904795205327116,
0.09890915340594404,
0.0987706737162297,
0.09863251200249458,
0.09849466728698159,
0.0983571385957921,
0.0982199249588678,
0.09808302540997284,
0.09794643898667557,
0.09781016473033116,
0.09767420168606372,
0.09753854890274868,
0.09740320543299522,
0.09726817033312894,
0.09713344266317446,
0.09699902148683832,
0.09686490587149157,
0.09673109488815296,
0.09659758761147166,
0.09646438311971084,
0.09633148049473034,
0.09619887882197042,
0.0960665771904348,
0.0959345746926743,
0.09580287042477041,
0.09567146348631875,
0.09554035298041297,
0.09540953801362846,
0.09527901769600643,
0.09514879114103744,
0.09501885746564602,
0.09488921579017438,
0.09475986523836691,
0.09463080493735415,
0.09450203401763765,
0.09437355161307406,
0.09424535686085976,
0.0941174489015156,
0.09398982687887149,
0.09386248994005128,
0.09373543723545752,
0.09360866791875647,
0.09348218114686307,
0.09335597607992621,
0.09323005188131359,
0.09310440771759729,
0.09297904275853895,
0.09285395617707512,
0.09272914714930285,
0.09260461485446517,
0.09248035847493676,
0.09235637719620964,
0.09223267020687886,
0.09210923669862864,
0.09198607586621776,
0.09186318690746612,
0.09174056902324046,
0.09161822141744057,
0.09149614329698559,
0.09137433387180001,
0.09125279235480051,
0.0911315179618818,
0.09101050991190364,
0.09088976742667687,
0.09076928973095057,
0.09064907605239823,
0.09052912562160503,
0.0904094376720542,
0.09029001144011417,
0.09017084616502546,
0.09005194108888785,
0.08993329545664716,
0.08981490851608266,
0.08969677951779431,
0.08957890771518974,
0.08946129236447206,
0.08934393272462697,
0.08922682805741024,
0.08910997762733544,
0.08899338070166131,
0.08887703655037958,
0.08876094444620274,
0.08864510366455165,
0.08852951348354361,
0.08841417318398011,
0.08829908204933494,
0.0881842393657421,
0.08806964442198387,
0.08795529650947925,
0.08784119492227187,
0.08772733895701831,
0.08761372791297672,
0.0875003610919947,
0.08738723779849832,
0.08727435733948015,
0.08716171902448819,
0.08704932216561426,
0.08693716607748278,
0.08682525007723953,
0.08671357348454033,
0.08660213562154,
0.08649093581288132,
0.08637997338568379,
0.0862692476695328,
0.08615875799646872,
0.08604850370097587,
0.08593848411997194,
0.08582869859279703,
0.08571914646120297,
0.08560982706934263,
0.08550073976375965,
0.08539188389337728,
0.08528325880948835,
0.08517486386574484,
0.08506669841814704,
0.08495876182503376,
0.08485105344707158,
0.08474357264724494,
0.08463631879084571,
0.0845292912454633,
0.08442248938097424,
0.08431591256953248,
0.08420956018555913,
0.08410343160573266,
0.08399752620897902,
0.0838918433764617,
0.08378638249157205,
0.08368114293991948,
0.08357612410932169,
0.08347132538979514,
0.08336674617354536,
0.08326238585495746,
0.08315824383058662,
0.08305431949914849,
0.08295061226151,
0.0828471215206799,
0.08274384668179918,
0.08264078715213236,
0.08253794234105777,
0.08243531166005845,
0.08233289452271321,
0.08223069034468732,
0.08212869854372358,
0.08202691853963327,
0.08192534975428724,
0.08182399161160687,
0.08172284353755528,
0.08162190496012858,
0.08152117530934684,
0.08142065401724569,
0.08132034051786718,
0.08122023424725161,
0.08112033464342851,
0.08102064114640821,
0.08092115319817342,
0.08082187024267054,
0.08072279172580131,
0.08062391709541444,
0.08052524580129712,
0.08042677729516684,
0.0803285110306629,
0.08023044646333839,
0.08013258305065189,
0.08003492025195917,
0.07993745752850533,
0.07984019434341641,
0.07974313016169168,
0.07964626445019522,
0.07954959667764834,
0.07945312631462143,
0.079356852833526,
0.07926077570860716,
0.07916489441593534,
0.07906920843339894,
0.0789737172406963,
0.07887842031932803,
0.07878331715258959,
0.0786884072255632,
0.07859369002511075,
0.07849916503986581,
0.0784048317602265,
0.07831068967834762,
0.07821673828813357,
0.0781229770852306,
0.07802940556701965,
0.07793602323260893,
0.07784282958282662,
0.07774982412021364,
0.07765700634901634,
0.07756437577517936,
0.07747193190633836,
0.07737967425181315,
0.07728760232260022,
0.07719571563136587,
0.07710401369243929,
0.07701249602180532,
0.07692116213709768,
0.07683001155759196,
0.07673904380419865,
0.07664825839945644,
0.07655765486752526,
0.07646723273417959,
0.07637699152680145,
0.07628693077437407,
0.07619705000747479,
0.07610734875826856,
0.07601782656050139,
0.07592848294949373,
0.07583931746213349,
0.07575032963687013,
0.07566151901370768,
0.07557288513419849,
0.07548442754143668,
0.07539614578005174,
0.07530803939620216,
0.07522010793756904,
0.07513235095334977,
0.07504476799425171,
0.074957358612486,
0.07487012236176117,
0.07478305879727716,
0.07469616747571886,
0.07460944795525025,
0.07452289979550795,
0.07443652255759545,
0.07435031580407687,
0.07426427909897085,
0.07417841200774479,
0.07409271409730865,
0.07400718493600902,
0.07392182409362336,
0.0738366311413539,
0.07375160565182194,
0.07366674719906192,
0.07358205535851557,
0.07349752970702628,
0.07341316982283311,
0.07332897528556538,
0.07324494567623649,
0.07316108057723886,
0.07307737957233766,
0.07299384224666577,
0.07291046818671762,
0.07282725698034398,
0.07274420821674643,
0.07266132148647161,
0.07257859638140589,
0.07249603249476987,
0.07241362942111289,
0.07233138675630772,
0.0722493040975451,
0.07216738104332834,
0.07208561719346804,
0.07200401214907669,
0.0719225655125636,
0.07184127688762938,
0.07176014587926073,
0.07167917209372533,
0.07159835513856674,
0.07151769462259888,
0.07143719015590122,
0.0713568413498136,
0.07127664781693097,
0.07119660917109834,
0.07111672502740608,
0.07103699500218445,
0.07095741871299872,
0.07087799577864434,
0.0707987258191419,
0.0707196084557321,
0.0706406433108711,
0.07056183000822513,
0.07048316817266627,
0.0704046574302672,
0.07032629740829646,
0.07024808773521357,
0.07017002804066448,
0.07009211795547657,
0.07001435711165417,
0.06993674514237357,
0.0698592816819786,
0.06978196636597572,
0.0697047988310296,
0.06962777871495834,
0.06955090565672888,
0.06947417929645253,
0.06939759927538033,
0.06932116523589849,
0.06924487682152387,
0.06916873367689967,
0.06909273544779061,
0.06901688178107881,
0.06894117232475919,
0.06886560672793499,
0.06879018464081346,
0.06871490571470162,
0.0686397696020017,
0.06856477595620682,
0.06848992443189687,
0.06841521468473397,
0.06834064637145838,
0.06826621914988402,
0.06819193267889463,
0.06811778661843913,
0.06804378062952764,
0.06796991437422731,
0.06789618751565803,
0.06782259971798846,
0.06774915064643183,
0.06767583996724182,
0.06760266734770834,
0.06752963245615387,
0.06745673496192901,
0.0673839745354087,
0.06731135084798796,
0.06723886357207817,
0.06716651238110292,
0.0670942969494942,
0.0670222169526883,
0.06695027206712195,
0.06687846197022852,
0.06680678634043401,
0.0667352448571532,
0.0666638372007859,
0.06659256305271304,
0.06652142209529277,
0.06645041401185688,
0.0663795384867068,
0.06630879520511003,
0.06623818385329629,
0.06616770411845371,
0.06609735568872538,
0.06602713825320537,
0.06595705150193519,
0.0658870951259001,
0.06581726881702564,
0.06574757226817358,
0.0656780051731388,
0.06560856722664535,
0.06553925812434296,
0.0654700775628036,
0.06540102523951778,
0.06533210085289108,
0.06526330410224065,
0.06519463468779169,
0.06512609231067391,
0.06505767667291822,
0.06498938747745307,
0.06492122442810122,
0.06485318722957616,
0.06478527558747885,
0.06471748920829411,
0.06464982779938748,
0.06458229106900171,
0.06451487872625349,
0.0644475904811301,
0.06438042604448606,
0.06431338512803987,
0.06424646744437072,
0.06417967270691523,
0.06411300062996415,
0.0640464509286591,
0.06398002331898948,
0.06391371751778908,
0.06384753324273303,
0.06378147021233449,
0.06371552814594156,
0.06364970676373415,
0.06358400578672069,
0.06351842493673515,
0.063452963936434,
0.06338762250929277,
0.06332240037960335,
0.0632572972724707,
0.0631923129138098,
0.0631274470303427,
0.0630626993495954,
0.06299806959989487,
0.06293355751036607,
0.06286916281092887,
0.06280488523229519,
0.06274072450596595,
0.06267668036422806,
0.06261275254015176,
0.06254894076758724,
0.06248524478116221,
0.06242166431627863,
0.062358199109110064,
0.06229484889659861,
0.06223161341645217,
0.0621684924071416
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Freq. 2"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Component of frequency=2, relative to amplitude of constant bias"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
1000
],
"title": {
"text": "Time (groups of 10 units)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
0.04710377902235317,
0.34839804671812175
],
"title": {
"text": "ratio"
},
"type": "linear"
}
}
},
"image/png": "iVBORw0KGgoAAAANSUhEUgAABb8AAAFoCAYAAAB38YZnAAAAAXNSR0IArs4c6QAAIABJREFUeF7t3Q+sXdV9J/pF/2Dzim3+JGDc2DAhZEhi2swwaWmYoqiZ0UycRp2HVIYoo1dKxXjIm1eRIBBO1ZfHq1ojEEnU914YipJpRxOFIVI0FY2Z0ZtEvHRISVOqtJiECQmD7Yz5Vxz/a22Ttjytbe+bfbfPn33OWfvsvc75XAnZ+J6z9tqf3/7du/29y2uf8dprr70WfBAgQIAAAQIECBAgQIAAAQIECBAgQIAAgQUSOEP4vUDVdCoECBAgQIAAAQIECBAgQIAAAQIECBAgUAgIv10IBAgQIECAAAECBAgQIECAAAECBAgQILBwAsLvhSupEyJAgAABAgQIECBAgAABAgQIECBAgAAB4bdrgAABAgQIECBAgAABAgQIECBAgAABAgQWTkD4vXAldUIECBAgQIAAAQIECBAgQIAAAQIECBAgIPx2DRAgQIAAAQIECBAgQIAAAQIECBAgQIDAwgkIvxeupE6IAAECBAgQIECAAAECBAgQIECAAAECBITfrgECBAgQIECAAAECBAgQIECAAAECBAgQWDgB4ffCldQJESBAgAABAgQIECBAgAABAgQIECBAgIDw2zVAgAABAgQIECBAgAABAgQIECBAgAABAgsnIPxeuJI6IQIECBAgQIAAAQIECBAgQIAAAQIECBAQfrsGCBAgQIAAAQIECBAgQIAAAQIECBAgQGDhBITfC1dSJ0SAAAECBAgQIECAAAECBAgQIECAAAECwm/XAAECBAgQIECAAAECBAgQIECAAAECBAgsnIDwe+FK6oQIECBAgAABAgQIECBAgAABAgQIECBAQPjtGiBAgAABAgQIECBAgAABAgQIECBAgACBhRMQfi9cSZ0QAQIECBAgQIAAAQIECBAgQIAAAQIECAi/XQMECBAgQIAAAQIECBAgQIAAAQIECBAgsHACwu+FK6kTIkCAAAECBAgQIECAAAECBAgQIECAAAHht2uAAAECBAgQIECAAAECBAgQIECAAAECBBZOQPi9cCV1QgQIECBAgAABAgQIECBAgAABAgQIECAg/HYNECBAgAABAgQIECBAgAABAgQIECBAgMDCCQi/F66kTogAAQIECBAgQIAAAQIECBAgQIAAAQIEhN+uAQIECBAgQIAAAQIECBAgQIAAAQIECBBYOAHh98KV1AkRIECAAAECBAgQIECAAAECBAgQIECAgPDbNUCAAAECBAgQIECAAAECBAgQIECAAAECCycg/F64kjohAgQIECBAgAABAgQIECBAgAABAgQIEBB+uwYIECBAgAABAgQIECBAgAABAgQIECBAYOEEhN8LV1InRIAAAQIECBAgQIAAAQIECBAgQIAAAQLCb9cAAQIECBAgQIAAAQIECBAgQIAAAQIECCycgPB74UrqhAgQIECAAAECBAgQIECAAAECBAgQIEBA+O0aIECAAAECBAgQIECAAAECBAgQIECAAIGFExB+L1xJnRABAgQIECBAgAABAgQIECBAgAABAgQICL9dAwQIECBAgAABAgQIECBAgAABAgQIECCwcALC74UrqRMiQIAAAQIECBAgQIAAAQIECBAgQIAAAeG3a4AAAQIECBAgQIAAAQIECBAgQIAAAQIEFk5A+L1wJXVCTQS+s2d/2H77veH5F18pXv67n7gjvOPtlw9966SvbzIHr1ksge8dOhJuvuPj4afefnn48PbrFuvkluRsPr/ry+GTv/f74f67bw2XXrypk7OOc3jo4UfDfXd9KJy7Yd3c51Bex09+89ni2L9x+43h2m3XzH0ei37APlxri27s/AgQIECAAAECBAgQIBAFhN9TXAdf+/rT4YZb7jrtneMC1CkOtbRv+dj9D4U//vrTrQRAZZD9wV/6hUahzqSvX9qizeHE68FcPOR7331VuPO2G8NZa8+cwwyGH2KW8HvUe2NI9ut3f3rsD2jaOPk2+7CN+c465qBAMhrs+tJXVwLxWercZH5dht9tn1uT80/1mnleu9N8j2gafpc12bLpgl58nUtVH+MQIECAAAECBAgQIEBgXgLC7wmkjx1/NXz0nk+HL3zx8dOCqDIQ/5X3b7PqcwLTYS9tM7iYNFya9PUJTt8QAwQGhUBlT+7d/1IrPyiZpBCzBIfC70mk23vtsoff8fvYjp0PdLryPVV12/weUp+j8DtV1YxDgAABAgQIECBAgACB9ALC7wlM6ysA62+NAdauLz4ePnDtP55gVC8dJNBmcDFpmD3p61W0HYHYX3Erhmuu+slVB5gmeGpjhm2F323MtemYbfZh0znM83VNVuPOUucm59Ll1xvhd5MKnf6aab4GNbnWppuNdxEgQIAAAQIECBAgQIBAVUD43fB6KP9yu+3nfnqild3llgXlYQZt0RADphdeOhD+l+v+Sbjlf/+/V/ahLl+7++lnV22zUh+j+hfveJy4RUL5MWgrlvr+1RddeP5pK/0mHbO6Kr48dn2v2PIv+5/4P/91+HcP/ediBX38uOItb1y1ajd6fOqzu1ZVZtAcB5VunPegsUdtmzHq9ff93n8stmb5+P/xv4aP/87nivOpzrOJSXkO9eNccfnfCX/xvcNh546bVvYiL6+T+hYfw8Ky+vY8dedqiPezP/0Tq66xYfv81n3j/OM19qa/8+ND97tuOyycJniqXzvVMTZvumDFovovOSbxLPf8HrRNSzx2ddxhrymvy0e+9PiqfahHhWaDPjdo/CZbNDXpw3H9NurL66BraVCfl9f3b+24KXxk5wPFD0CqXzcOHDyyav/+Wa7zYSu/yy2Y4nHjvu7lHOpf1/e/+BfFXKp9G19T1uC6971r1VZLg2rzD3/qinDoyF+e9i8Zxl1/476VjavVoHrULQcdY9DXufr7mnzPafr9Ic5h0DGrX8dHXbvnnbNuYA3r/2qr6dfH+rmVRuP+FVjT8x309bPJ15VyHoPmZx/3cd3i8wQIECBAgAABAgQILJKA8LthNafZd7e+anLYFg3lX9Srf3mv/oV10J9X96uuvrb6l9oyLKkGXYP+bNC5DRtzUDg06AcDg/7CXh5nUEAcy1ANdadZcdrUe9KVlcNeX9Zt1A8Pqj8sGWQy7JoYVKdJwu9B/0qhXrtqgDIo5K1eN8PmGWv/xT98IvzLf/G+MCyUHbSadFA4NagVm4S00/TmsPA7PgB1UGg1iWf1gZfReOdvfybs+NUPrDy8cFSYNehhmcPqVn9tWaNqL5XXUfXrwiQ/LBjVh037bdiX2Hhe8aP6MMVB11BZ32qgWr12B/15vQZlYF2t7SCHceF3fADlqB/mlGM2Cb+H/UB1kHmT62/Ut7KmtZp05fewc4iO8YdI8SHCTb/nNP3+MOg6H1STYdfupD0Zf9Ax7uvjJD1V1mnQ+cbP1ec97OtFk68rg+Y1qB4Nb4O8jAABAgQIECBAgAABAlkKCL8blm3UastBQwz7C+awv6THld/1Fb3Dws76nw/7i3c9JDh+4sTQ1bn1v3APG3PQCsZRoewnf+/3V1aVTxqOTvLAy0m8U4bfw+bY1GRY2DQoRGsafo8L4MpgcFiIV143Gy84b+VfOTS5/gddG4OCqoYt1+hl5THji++760MrAXOjN1deNCq8mtVz0Fzq1+C4Pb+rfTQoIIt/Vp/noDqWc2n6w6Vhr5uk3yapxaBraFi/Nv3zUbb185tn+J26n4c5T1KrScLvJr09q308p/qcRn2/+/LjXw//5F0/VVA0vcarYfRDDz+68nVkkq+P04bf9b6u9nH5A+5J/uVMvSeGfd2O8z12/ETY+nf/ziTt6bUECBAgQIAAAQIECBDIUkD43bBsTcK/6lDDgplBgUHTkLsaXFXD8lF/8a4GAOX2APVViXHc+vmNC7/rAWr9n/MPCuNGhd833HLXqoeIzhpclFaDvNsOv4dtcTDIZFjtZwm/R51f9XjDfhgyyTVab59hP0QZdM01bL2hLxv1ANpJxx7VQ7N6lkFcfSufcSuWq6FcPSQbNN9J7JuGnMP6cJKvb6NqMWzLiOpK9aYh96Qh5qCve/MKv8f9sKMawja9/s5ae+ZA6klq1fS6iAca9XWunMiwHxw1tY+vq4f31VX/o/5lyLjvIYP+9UmTnhz09TFl+F2/Nsb9AGHU15XSrsn2NZN+zfR6AgQIECBAgAABAgQI5CIg/G5YqUm3Vphku4A2w+9q8PHt//4/ir2MBwUG9YChafg9LLyqspbHazP8nsS77fC7qcnWy98YPnrPyf3Z66v+Zwm/B4U61XqU2+g0Db/je4fNs94+9XmPurbroc2gVhwWbqUMvuNxx/0AadRcR3mW477uvA2rVqbPuvJ72L/qqP4Qqr5HdN23yT76w/pqkn4b9iW2vE6rQfe8V37Xw955hd+T/LClaT8PC78nqdUk4XeTwHfUFhv1z03y/WHQnteDnh0x6F/mzNqTbYff9X+xMSj8bnoO1R8eVPtw3H7kDW+LvIwAAQIECBAgQIAAAQJZCAi/G5Zp2N6mw94+yWq7NsPvLld+120mCTfGrdobNHZ1tWT5+b6t/K7Pe94rv6vHH/fP+quh/LB5Drr+y9d+6F/+YvjQ//H/hFu3X7fy0M6G7TbyZamD73Hhd9Mflkyy7/Cs4XcZau3Y+UCxrdCfPfXtVQ/FrJ7TLKvu21r5Pe6Ha9UQf5FXfg/6FzODtq4Y9LWtaS9N8r1okvC7q5Xfg867DNLrD70cFH43vaYn+frY5AcBTb8fNln53fQchn19jj/M89DLph3kdQQIECBAgAABAgQI5C4g/J6ggvEvnLu+9NWVPazrb42hXLnn6CT7rLYVfjdZQVaew7AtE6oP1oyvrf/FvMm+r+UxJgm/mwaO5diTeE869rDXDwsgUpgMW/k9KMypz6/pA80mCXeG1a56zVdrEUPZa676yfCNbz03017c9R4r5/wXBw4N7cMJWnrlpaPCq2k9R10H9ZqN2p97mH1p8dY3XxKOHv2rUN2jfVCvTuMy7NqfpN9GhZX1lf3zXvld/9rbZOX3qFo1DfUnuTaaXn/D6jtJrSYJv0edQ7mn9I9vfF3j50w0/f4wbL/q+tfjQdfuJO6TfH1s8oOApuF3/Wv/JN9z6+f85cf/LMQV8fFBreXHJHuIT/M1w3sIECBAgAABAgQIECDQNwHh9wQVGbXitAwYqv+cuB6Wl+/fu/+lVYFgW+H3oLC+nGd9T91fv/vTq7ZDGRfilHt+R77ytX9/62Wrtu+I53vPfQ+GD1z7j8KlF286bV/xUcH1NIFPU++2w+9JTAYFEcP2tB1kUm7HM+if/MfVffVwMY7xh1/98+JBlpOEO4Ou3WEhYLVPUq4uLOcbfZs83LK0afJP/Met3Cy3npjUc1CgN6pmw364MejBeNGhHCv+ftR2RnWDaLnztz8TdvzqB0Y+JHRUHzbtt0FfYsdd9/PY87u0q7o1Cb/j+Uzyg69qP1fPa5DtsD2am1x/o76VNa3VJOF39evctp/76ZWH49bD26bfcyYJv7fffm+o/mB20PU07Npt2pPTfH2MJvUtrIbVZdD1Vx5zy6YLVsYZNI+m5zDoddN8b53gNslLCRAgQIAAAQIECBAg0DsB4fcUJRm2l+6g8KkaTsVDVf9ZdnnoVOH38y++supshj3kqr4n9aC9fycJv+NBq4FndRLV0K1puFG+v2rXZH/iehg4zHse4XdTk/i6+v61sW5xq5C4erq+ZUX9eophWvwYtC3CoOu06jhJuFO9Vqv7Xw+6nss6zLJVw6C2HLeH9aAfAIz6lxrVY4wLv+Nrp/VsWrN6D5W2j3zp8dO2NCnnPuwHT9VzG7Q/cvx80x9MjOrDJl/fhn2JHXTd/9aOm8JHdj4Q2tj25MlvPrtqKoO+pjQNv4fVKu673fS8Bl1T8evlJZs3TtXP476VNanVpOH3oK9fg66tJt9zJvn+MKgXB13Pw67dJj056dfHet3H/dCtPN/Xnbs+PPn0f18p36AfVN18x8dD9QfOg77XDfteUN8zvun30nHXk88TIECAAAECBAgQIEAgFwHhdy6VGjHPJsHdApzmUp3CoG1PcgHowz+r78MccqnXos/TtbDoFXZ+BAgQIECAAAECBAgQIEBguIDwewGuDuH3AhSxdgo5h9/DVnDOs0rTrGCd5/wca34Cwu/5WTsSAQIECBAgQIAAAQIECBDom4Dwu28VmWI+wu8p0Hr+llzD774EjfGf+sePuLe5j+UW6Ms1udxVcPYECBAgQIAAAQIECBAgQKAbAeF3N+6OSoAAAQIECBAgQIAAAQIECBAgQIAAAQItCgi/W8Q1NAECBAgQIECAAAECBAgQIECAAAECBAh0IyD87sbdUQkQIECAAAECBAgQIECAAAECBAgQIECgRQHhd4u4hiZAgAABAgQIECBAgAABAgQIECBAgACBbgSE3924OyoBAgQIECBAgAABAgQIECBAgAABAgQItCgg/G4R19AECBAgQIAAAQIECBAgQIAAAQIECBAg0I2A8Lsbd0clQIAAAQIECBAgQIAAAQIECBAgQIAAgRYFhN8t4hqaAAECBAgQIECAAAECBAgQIECAAAECBLoREH534+6oBAgQIECAAAECBAgQIECAAAECBAgQINCigPC7RVxDEyBAgAABAgQIECBAgAABAgQIECBAgEA3AsLvbtwdlQABAgQIECBAgAABAgQIECBAgAABAgRaFBB+t4hraAIECBAgQIAAAQIECBAgQIAAAQIECBDoRkD43Y27oxIgQIAAAQIECBAgQIAAAQIECBAgQIBAiwLC7xZxDU2AAAECBAgQIECAAAECBAgQIECAAAEC3QgIv7txd1QCBAgQIECAAAECBAgQIECAAAECBAgQaFFA+N0irqEJECBAgAABAgQIECBAgAABAgQIECBAoBsB4Xc37o5KgAABAgQIECBAgAABAgQIECBAgAABAi0KCL9bxDU0AQIECBAgQIAAAQIECBAgQIAAAQIECHQjIPzuxt1RCRAgQIAAAQIECBAgQIAAAQIECBAgQKBFAeF3i7iGJkCAAAECBAgQIECAAAECBAgQIECAAIFuBITf3bg7KgECBAgQIECAAAECBAgQIECAAAECBAi0KCD8bhHX0AQIECBAgAABAgQIECBAgAABAgQIECDQjYDwuxt3RyVAgAABAgQIECBAgAABAgQIECBAgACBFgWE3y3iGpoAAQIECBAgQIAAAQIECBAgQIAAAQIEuhEQfnfj7qgECBAgQIAAAQIECBAgQIAAAQIECBAg0KKA8LtFXEMTIECAAAECBAgQIECAAAECBAgQIECAQDcCwu9u3B2VAAECBAgQIECAAAECBAgQIECAAAECBFoUEH63iGtoAgQIECBAgAABAgQIECBAgAABAgQIEOhGQPjdjbujEiBAgAABAgQIECBAgAABAgQIECBAgECLAsLvFnENTYAAAQIECBAgQIAAAQIECBAgQIAAAQLdCAi/u3F3VAIECBAgQIAAAQIECBAgQIAAAQIECBBoUUD43SKuoQkQIECAAAECBAgQIECAAAECBAgQIECgGwHhdzfujkqAAAECBAgQIECAAAECBAgQIECAAAECLQoIv1vENTQBAgQIECBAgAABAgQIECBAgAABAgQIdCMg/O7G3VEJECBAgAABAgQIECBAgAABAgQIECBAoEUB4XeLuIYmQIAAAQIECBAgQIAAAQIECBAgQIAAgW4EhN/duDsqAQIECBAgQIAAAQIECBAgQIAAAQIECLQoIPxuEdfQBAgQIECAAAECBAgQIECAAAECBAgQINCNgPC7G3dHJUCAAAECBAgQIECAAAECBAgQIECAAIEWBYTfLeIamgABAgQIECBAgAABAgQIECBAgAABAgS6ERB+d+PuqAQIECBAgAABAgQIECBAgAABAgQIECDQooDwu0VcQxMgQIAAAQIECBAgQIAAAQIECBAgQIBANwLC727cHZUAAQIECBAgQIAAAQIECBAgQIAAAQIEWhQQfreIa2gCBAgQIECAAAECBAgQIECAAAECBAgQ6EZA+N2Nu6MSIECAAAECBAgQIECAAAECBAgQIECAQIsCwu8WcQ1NgAABAgQIECBAgAABAgQIECBAgAABAt0ICL+7cXdUAgQIECBAgAABAgQIECBAgAABAgQIEGhRQPidAHf/K8cSjGIIAgRyElh31o+EcMYZ4chffT+naZsrAQIJBPR/AkRDEMhUQP9nWjjTJpBAQP8nQDQEgYwFNp1/VsazX+6pC78T1F/4nQDREAQyE3Dzm1nBTJdAQgH9nxDTUAQyE9D/mRXMdAkkFND/CTENRSBDAeF3hkU7NWXhd4LaCb8TIBqCQGYCbn4zK5jpEkgooP8TYhqKQGYC+j+zgpkugYQC+j8hpqEIZCgg/M6waMLvdEUTfqezNBKBXATc/OZSKfMkkF5A/6c3NSKBXAT0fy6VMk8C6QX0f3pTIxLISUD4nVO1Vs/Vyu8EtRN+J0A0BIHMBNz8ZlYw0yWQUED/J8Q0FIHMBPR/ZgUzXQIJBfR/QkxDEchQQPidYdFOTVn4naB2wu8EiIYgkJmAm9/MCma6BBIK6P+EmIYikJmA/s+sYKZLIKGA/k+IaSgCGQoIvzMsmvA7XdGE3+ksjUQgFwE3v7lUyjwJpBfQ/+lNjUggFwH9n0ulzJNAegH9n97UiARyEhB+51St1XO18jtB7YTfCRANQSAzATe/mRXMdAkkFND/CTENRSAzAf2fWcFMl0BCAf2fENNQBDIUEH5nWLRTUxZ+z1i73770t8NPfvhnwmXXb51xJG8nQCAnATe/OVXLXAmkFdD/aT2NRiAnAf2fU7XMlUBaAf2f1tNoBHITmHf4/Z09+8P22+8Nz7/4ymlUv/uJO8I73n55Lwg/v+vL4dfv/vTKXC668Pxw/923hksv3tSL+cVJCL9nLMWdZ9xZjLBmw9qwdfuV4W3bryx+74MAgcUWcPO72PV1dgRGCeh/1weB5RXQ/8tbe2dOQP+7Bggst0BX4ffOHTf1JuiuXwHHjr8a7rnvwfCBa//RStgdw/BP/t7v9yoAF37P2Lt/9nt/Fv74gT8N+x/bKwSf0dLbCeQk4OY3p2qZK4G0Avo/rafRCOQkoP9zqpa5EkgroP/TehqNQG4CfQu/v3foSLj5jo+HD/7SL4Q/+H//KHzhi4+H9777qnDnbTeG4ydOFJ978pvPFszln5+19swV9vqK7fiJ37j9xnDttmtmKk05r1u3X9eb0F74PVNJT7457vn9/GP7wp/e/ZgQPIGnIQjkIODmN4cqmSOBdgT0fzuuRiWQg4D+z6FK5kigHQH9346rUQnkItDX8PsvDhxatcp6UPj8sfsfCi+8dKAIxmMAHoPvx5/4xsr/xxXcH73n0+GqK986c/hdbtfSpxXrwu8EXVZ94GU9BI/DX7LtsrB1+z8IF129OcHRDEGAQB8E3Pz2oQrmQKAbAf3fjbujEuiDgP7vQxXMgUA3Avq/G3dHJdAXga7C7/qe37/y/m3hw9uvC8NWWMdg+7l9LxSvKT9iIP1rOx8Iv7njpnDeOeuKVeHVldkpw+8YtP/x158O9931oXDuhnW9KJ/wO0EZquF3OVwMwb/14O7wrc8+uXKETVdvCX//9quF4AnMDUGgawE3v11XwPEJdCeg/7uzd2QCXQvo/64r4PgEuhPQ/93ZOzKBPgh0FX4PW0E9LPyO4fOnPrvrNLLyQZTxE2UQXj6UMlX43cf9vuP5Cr8TdNCg8Lsc9sSh4+Gp+58Iu+9/IsTfx4/zr7gwvPn6reGy69/m4ZgJ/A1BoAsBN79dqDsmgX4I6P9+1MEsCHQhoP+7UHdMAv0Q0P/9qINZEOhKIKfwOxpVV35XzeIq8Hs++WDY+ZGbVlZmpwi/+xp8C78Tdcyo8HtUCL5mw9qwdfuV4W3brxSCJ6qFYQjMS8DN77ykHYdA/wT0f/9qYkYE5iWg/+cl7TgE+ieg//tXEzMiME+BXMLv+n7edaPqFiipVn7H1ea7vvTVVXuPz7M2445l5fc4oQafbxJ+V4exL3gDVC8h0HMBN789L5DpEWhRQP+3iGtoAj0X0P89L5DpEWhRQP+3iGtoAhkI5BJ+lw+c3PZzP72y+juu7L7v9/5j+OXr31Os9o5hdfwoV4d/7etPhxtuuSv8xu03rjzwsulK7j7u8V2/nITfCRps0vC7PGQMwXff/yfhuV3PrMwi7gv+5vdvDVve8yarwRPUxhAE2hJw89uWrHEJ9F9A//e/RmZIoC0B/d+WrHEJ9F9A//e/RmZIoE2BXMLvaFDuB/7kN59dISkflBn/oNzm5AtffLz4/D//hZ8LR4/+VbjqyrdOFH4POk55wPe++6pw5203hrPWntlmWRqNLfxuxDT6RdOG3+Wog/YFtyVKgsIYgkCLAm5+W8Q1NIGeC+j/nhfI9Ai0KKD/W8Q1NIGeC+j/nhfI9Ai0LDDv8Lvl01k1fIo9v+c530mPJfyeVGzA62cNv6sh+DMPPhX27Hom7H9s78qRLtl2Wdi6/R+Ei67enGC2hiBAIIWAm98UisYgkKeA/s+zbmZNIIWA/k+haAwCeQro/zzrZtYEUgkIv1NJzn8c4XcC81Thd3Uqg/YFj1uiXLztsnDZ9W+zJUqCuhmCwCwCbn5n0fNeAnkL6P+862f2BGYR0P+z6HkvgbwF9H/e9TN7ArMKCL9nFezu/cLvBPZthN/ltMotUZ76nT8Nxw8eK/44bolS7gseA3EfBAjMX8DN7/zNHZFAXwT0f18qYR4E5i+g/+dv7ogE+iKg//tSCfMg0I3AIoff3YjO76jC7wTWbYbf1enteeTbYfe/+ZNVW6LE8Hvrv/oHYeM732A1eIJaGoJAUwE3v02lvI7A4gno/8WrqTMi0FRA/zeV8joCiyeg/xevps6IwCQCwu9JtPr1WuF3gnrMK/wupxq3RNnNARYxAAAgAElEQVTzyDPhW5/dHeLK8PjhAZkJCmkIAhMIuPmdAMtLCSyYgP5fsII6HQITCOj/CbC8lMCCCej/BSuo0yEwoYDwe0KwHr18KcPvr3396XDDLXcVZbjiLW8M9931oXDuhnUDy/KdPfvD9tvvDc+/+Erx+fe++6pw5203hrPWnrny+nmH3+WBY/A96AGZcTX437/9ag/I7FGjmcriCbj5XbyaOiMCTQX0f1MpryOweAL6f/Fq6owINBXQ/02lvI7AYgoIv/Ot69KF3zHM/rWdD4Tf3HFTuPTiTeHzu74cHn/iG6cF2mVJ4+c3b7ogvOPtlxd/9LH7Hyp+/fD26zoPv6uXndXg+Tahmecp4OY3z7qZNYEUAvo/haIxCOQpoP/zrJtZE0ghoP9TKBqDQL4Cwu98a7d04XcMs5/b98JKeF0Pw8eVclBY3tXK70FzHbUa3N7g46rr8wSaC7j5bW7llQQWTUD/L1pFnQ+B5gL6v7mVVxJYNAH9v2gVdT4EJhMQfk/m1adXL134XV+5/b1DR8LNd3w83Lr9upXV3cMKdOz4q+Gj93w6bLzgvN6t/B4053I1eNwa5fjBY8VL4t7gb37/1rDlPW8KcXsUHwQITCfg5nc6N+8isAgC+n8RqugcCEwnoP+nc/MuAosgoP8XoYrOgcD0AsLv6e3q7xy0q0a60U8faSnD70s2bwzXbrum0GgafsfCfOqzuwbu+f2Xx/+6zRrNPPbxg8fDN/79k+GZh/9b2PflPSvjbb7m4nDZ+/5ueOu/uCKsPWftzMcxAIFlEvjRH/mh4nS//9d/u0yn7VwJEAgh6H+XAYHlFdD/y1t7Z05A/7sGCCy3wI+t/ZHlBpjy7AftuCH8nhKz6dtmWfkdjzFo25NDf/n9pofv/HXf/cO94Tt/8K3wjc/8eThx8HgxnzXnrA2X/vybw1s/8BPhDT9rNXjnRTKBLATW/ugPhXDGGeH4q3+TxXxNkgCBdAL6P52lkQjkJqD/c6uY+RJIJ6D/01kaiUCOAht+7EdznHbnc550u+k2Jrx0K79n3fM7Fu2eTz4Ydn7kpnDuhnVFTfq053fTiyTuDf7CV74bdv+bPwn7H9u78ra4LcrW7VeGt22/stgixQcBAoMF/LNHVwaB5RXQ/8tbe2dOQP+7Bggsr4D+X97aO3MCUcC2Jyevg3JR8Nln/0/hP/z+l8KvvH9b+OXr31NsKf3kN58tXvPed18V7rztxuL3cfvoL3zx8ZWL6Hc/cUf4w6/+efH/H95+XfFrzFq3335veP7FV8JFF54f7r/71nDpxZuSXXhLF37Xf+JQX8kd//+hhx8N9931oSLc/p1//3B4989euYIeV46/8NKBoohnrT2zKESO4Xf1CopB+FP3PxF23/9EiL8vP+Ke4Bdvuyxcdv3bBOHJWs5AiyLg5ndRKuk8CEwuoP8nN/MOAosioP8XpZLOg8DkAvp/cjPvILBIAl2F30f2HwmvfOuVuVOu27QunP/m8087bsxNf/3uT4cYYr/j7ZcXn//a158ufo3/X24vfd373lVsOT1u25P6dtRxrB07H0gagC9d+F0W5YZb7ioKc8Vb3rgSdMf/r4ffEb18bfx8+dOLMviOf5Z7+F29kuNDMr/14O6wZ9czK0F4XAEeQ/A3X781XHT15rk3nAMS6KOAm98+VsWcCMxHQP/Px9lRCPRRQP/3sSrmRGA+Avp/Ps6OQqCvAl2F30/c/0T4g3/1B3NnuXL7leHn/83Pn3bcQdtB119U3XJ6XPgdc9d7739oJZs9dvzVYrX4VVe+deV5jbOe/FKG37Oi1d+/SOF3eW5xBfgzDz5VhOCDtkW5+D1vCudfcWFqSuMRyEbAzW82pTJRAskF9H9yUgMSyEZA/2dTKhMlkFxA/ycnNSCBrAS6Cr+/9fC3wh997I/mbvXm9705/MyHf6Zx+B0D7099dtfK6+N2KHFbkybh9+cefnTVDhtxrEs2bxR+z73qIw64iOF39XTLbVGe+p0/DccPHlv5lG1R+nQVmsu8Bdz8zlvc8Qj0R0D/96cWZkJg3gL6f97ijkegPwL6vz+1MBMCXQh0FX53ca6jjjlo5Xd9i2grv/tWtQTzWfTwu0oUt0XZ88gzxarwehD+5vdvDVve8yb7gye4pgzRfwE3v/2vkRkSaEtA/7cla1wC/RfQ//2vkRkSaEtA/7cla1wCeQgIv0/WaVj4HT8XV3qX25ZsvOC84v/re3rH11XD8foe4fb87mk/LFP4XZYgrgY/sPvl8Kd3P3batijlQzLjynAfBBZVwM3volbWeREYL6D/xxt5BYFFFdD/i1pZ50VgvID+H2/kFQQWWUD4PTz8jlubbL/93vD8i6+Eiy48P7zu3PXhp/7eW4rwuwzM40My40d8UOYffvXPi9+Xn6+///67bw2XXrwp2eVkz+8ElMsYflfZRu0PXq4GF4QnuNAM0SsBN7+9KofJEJirgP6fK7eDEeiVgP7vVTlMhsBcBfT/XLkdjEDvBITfvStJ4wkJvxtTDX/hsoffVZkjew+FZx7cHfb8p++Ev/jzF1Y+tW7LhvDm67eGjVdvDoLwBBedIToXcPPbeQlMgEBnAvq/M3oHJtC5gP7vvAQmQKAzAf3fGb0DE+iFgPC7F2WYahLC76nYVr9J+D0Ysdwf/Fuf3R3i6vDyI4bfF129OVx2/dYQQ3EfBHIUcPObY9XMmUAaAf2fxtEoBHIU0P85Vs2cCaQR0P9pHI1CIFcB4XeulQtB+J2gdsLv8YijgvByj/A1G9aOH8grCPREwM1vTwphGgQ6END/HaA7JIGeCOj/nhTCNAh0IKD/O0B3SAI9EhB+96gYE05F+D0h2KCXC78nQ4xB+Lfi1ii7njltRbggfDJLr+5OwM1vd/aOTKBrAf3fdQUcn0B3Avq/O3tHJtC1gP7vugKOT6BbAeF3t/6zHF34PYveqfcKv6dDjFuhHNj9cth9/5+EGIjXt0YRhE/n6l3zEXDzOx9nRyHQRwH938eqmBOB+Qjo//k4OwqBPgro/z5WxZwIzE9A+D0/69RHEn4nEBV+z44Yg++9j3w7xP3BX9n9kiB8dlIjtCzg5rdlYMMT6LGA/u9xcUyNQMsC+r9lYMMT6LGA/u9xcUyNwBwEhN9zQG7pEMLvBLDC7wSIlSGqQfiBp14Oxw8eW/lsfFimFeFpvY02nYCb3+ncvIvAIgjo/0WoonMgMJ2A/p/OzbsILIKA/l+EKjoHAtMLCL+nt+v6ncLvBBUQfidAHDKEILw9WyPPJuDmdzY/7yaQs4D+z7l65k5gNgH9P5ufdxPIWUD/51w9cycwu4Dwe3bDrkYQfieQF34nQGwwxLgg/KKrN4fLrt8a1m3Z0GA0LyEwm4Cb39n8vJtAzgL6P+fqmTuB2QT0/2x+3k0gZwH9n3P1zJ3A7ALC79kNuxpB+J1AXvidAHHCIWIQ/sJXvhue2/VMsVd4dWuUGH6/+fqtYePVm0PcJsUHgTYE3Py2oWpMAnkI6P886mSWBNoQ0P9tqBqTQB4C+j+POpklgbYEhN9tybY/rvA7gbHwOwHiDEPEIPzA7pfDtx7cPTAIv2TbZWHLe94kCJ/B2FtPF3Dz66ogsLwC+n95a+/MCeh/1wCB5RXQ/8tbe2dOIAoIv/O9DoTfCWon/E6AmHCI5x/bF/Y88kx45sGnVq0IX7NhbXjz+7cWQfj5Wy8I8f99EJhWwM3vtHLeRyB/Af2ffw2dAYFpBfT/tHLeRyB/Af2ffw2dAYFZBITfs+h1+17hdwJ/4XcCxJaGKIPwPY98Oxzec3DlKDH4jgF4GYYLwlsqwAIP6+Z3gYvr1AiMEdD/LhECyyug/5e39s6cgP53DRBYbgHhd771F34nqJ3wOwHiHIY4svdQeObB3SEG4vsf27vqiHFv8Iu3XRYufs+bPDBzDrVYhEO4+V2EKjoHAtMJ6P/p3LyLwCII6P9FqKJzIDCdgP6fzs27CCyKgPA730oKvxPUTvidAHHOQ8R9wuO2KHt2PRNe2f1SiP9ffsQHZsZ9wi9+z2Xhoqs3z3lmDpeLgJvfXCplngTSC+j/9KZGJJCLgP7PpVLmSSC9gP5Pb2pEAjkJCL9zqtbquQq/E9RO+J0AscMhYvC995Fvh/1xr/Bdz6wKwuN2KHGP8B//h1uKX22P0mGhenZoN789K4jpEJijgP6fI7ZDEeiZgP7vWUFMh8AcBfT/HLEdikAPBYTfPSxKwykJvxtCjXqZ8DsBYo+GKPcJf27XMyFulVL9sD1KjwrV8VTc/HZcAIcn0KGA/u8Q36EJdCyg/zsugMMT6FBA/3eI79AEeiAg/O5BEaacgvB7Srjq24TfCRB7OkQMv+PDMuOK8Po+4dXtUc7b+nqrwntaw7am5ea3LVnjEui/gP7vf43MkEBbAvq/LVnjEui/gP7vf43MkECbAsLvNnXbHVv4ncBX+J0AMYMhxm2PEvcHv+jqLeGy698mCM+gnrNO0c3vrILeTyBfAf2fb+3MnMCsAvp/VkHvJ5CvgP7Pt3ZmTiCFgPA7hWI3Ywi/E7gLvxMgZjhE3B7l+cf2huce+XZ45ckXV51B3B4lhuEbr94c4u99LJ6Am9/Fq6kzItBUQP83lfI6AosnoP8Xr6bOiEBTAf3fVMrrCCymgPA737oKvxPUTvidADHzIeKq8GcefKrYHuXAUy+H4wePrZxRfEjmxdsuC5uu3uyhmZnXuTp9N78LVEynQmBCAf0/IZiXE1ggAf2/QMV0KgQmFND/E4J5OYEFExB+51tQ4XeC2gm/EyAu0BAxCD+w++Ww55Fniv3CD+85uOrszr/iwiIIv/g9lxWrw33kKeDmN8+6mTWBFAL6P4WiMQjkKaD/86ybWRNIIaD/Uygag0C+AsLvfGsn/E5QO+F3AsQFHqL60MxXdr8UYjhefsRV4edvvaBYGX7xe94U4kM0feQh4OY3jzqZJYE2BPR/G6rGJJCHgP7Po05mSaANAf3fhqoxCeQjIPzOp1b1mQq/E9RO+J0AcUmGqK4K3//YvtP2Co/h9yXb4orwLWHjO9/gwZk9vi7c/Pa4OKZGoGUB/d8ysOEJ9FhA//e4OKZGoGUB/d8ysOEJ9FxA+N3zAo2YnvA7Qe2E3wkQl3SIGIbvfeTbIQbhcb/w6qrwSFI+ODOG4bZI6ddF4ua3X/UwGwLzFND/89R2LAL9EtD//aqH2RCYp4D+n6e2YxHon4Dwu381aToj4XdTqRGvE34nQDREIfD8Y/vC84/tLX7d/9jeVSpxi5QYgMcg3BYp3V8wbn67r4EZEOhKQP93Je+4BLoX0P/d18AMCHQloP+7kndcAv0QEH73ow7TzEL4PY1a7T3C7wSIhjhNIK4Cf+Er3y3C8EEPziy3SIl7hm95z5tskTLna8jN75zBHY5AjwT0f4+KYSoE5iyg/+cM7nAEeiSg/3tUDFMh0IGA8LsD9ESHFH4ngBR+J0A0xFiB8sGZ8aGZg7ZIOf+KC8OmqzcXQXgMxONKcR/tCbj5bc/WyAT6LqD/+14h8yPQnoD+b8/WyAT6LqD/+14h8yPQroDwu13fNkcXfifQFX4nQDTExAJxa5QyCI+/2i98YsKZ3uDmdyY+byaQtYD+z7p8Jk9gJgH9PxOfNxPIWkD/Z10+kycws4Dwe2bCzgYQfiegF34nQDTETAIx+D6w++Ww55FnwitPvjRwv/C4GvzibZcVq8I9PHMm7uLNbn5nNzQCgVwF9H+ulTNvArML6P/ZDY1AIFcB/Z9r5cybQBoB4Xcaxy5GEX4nUBd+J0A0RFKB6n7h++MK8SdfXDV+9eGZF73zDSFumeJjMgE3v5N5eTWBRRLQ/4tUTedCYDIB/T+Zl1cTWCQB/b9I1XQuBCYXEH5PbtaXdwi/E1RC+J0A0RCtCsQwfO8j3y62SXlu1zMh7h9e/VgVhl+9uVgd7mO0gJtfVwiB5RXQ/8tbe2dOQP+7Bggsr4D+X97aO3MCUUD4ne91IPxOUDvhdwJEQ8xVIIbfL3xlX4irwuOvh/ccFIZPWAE3vxOCeTmBBRLQ/wtUTKdCYEIB/T8hmJcTWCAB/b9AxXQqBKYQEH5PgdaTtwi/ExRC+J0A0RCdCkwUhtsmpaiVm99OL1kHJ9CpgP7vlN/BCXQqoP875XdwAp0K6P9O+R2cQOcCwu/OSzD1BITfU9P94I3C7wSIhuiVQDUMf/6xvQO3SVn2B2i6+e3VJWsyBOYqoP/nyu1gBHoloP97VQ6TITBXAf0/V24HI9A7AeF370rSeELC78ZUw18o/E6AaIheCzRZGR7D8Iuu3hwuunpLOG/r60PcR3yRP9z8LnJ1nRuB0QL63xVCYHkF9P/y1t6ZE9D/rgECyy0g/M63/sLvBLUTfidANERWAtUHaO555Nun7RkeT2bT1VvC+VfEQHxL2PjONyxcGO7mN6tL1mQJJBXQ/0k5DUYgKwH9n1W5TJZAUgH9n5TTYASyExB+Z1eylQnPPfz+2tefDjfcctcqsd/9xB3hHW+/PFtF4Xe2pTPxRAIxDH/hK98NcYuU+BDNV5588bSR123ZEC7ZdlmIK8Q3vnNziP+f84eb35yrZ+4EZhPQ/7P5eTeBnAX0f87VM3cCswno/9n8vJtA7gLC73wrONfwOwbf997/ULjvrg+FczesK9S+s2d/2H77veGDv/QL4dpt12QpKfzOsmwm3aJADMMP7H65CMOff2xfOPDUy+H4wWOrjhi3Rbn4VBh+UYYP0XTz2+IFZGgCPRfQ/z0vkOkRaFFA/7eIa2gCPRfQ/z0vkOkRaFlA+N0ycIvDzy38Pnb81fDRez4dfvF97zptlXcMxT/38KPhzttuDGetPbPF021naOF3O65GXSyBGIK/svullUA8BuTVjxiGx1XhuWyV4uZ3sa5PZ0NgEgH9P4mW1xJYLAH9v1j1dDYEJhHQ/5NoeS2BxRMQfudb07mF3987dCTs+K0Hwm0fvD5cevGmVWJx9fc9n3ww7PzITSsrwnMiFX7nVC1z7YvAuIdoxnnGrVHinuGbrt7cu61S3Pz25UoyDwLzF9D/8zd3RAJ9EdD/famEeRCYv4D+n7+5IxLok4Dwu0/VmGwucwu/rfyerDBeTWDZBKr7hr/y5EvFKvFBq8MvunpzEYjHVeLnbX19Zw/SdPO7bFeo8yXwAwH972ogsLwC+n95a+/MCeh/1wCB5RYQfudb/7mF35Ho87u+HB56+FF7fud7vZg5gbkKnNwm5eR2KS98ZV84vOfgacc//4oLi5Xh836QppvfuV4KDkagVwL6v1flMBkCcxXQ/3PldjACvRLQ/70qh8kQmLuA8Hvu5MkOONfwO8467u99wy13rTqB3/3EHaftA57sDOcwkG1P5oDsEARCCOVWKTEMH7U6PAbhcYV4DMY3vvMNrawOd/PrkiSwvAL6f3lr78wJ6H/XAIHlFdD/y1t7Z04gCgi/870O5h5+50s1fObC70WsqnPKQSBui3Jg98vFyvBRq8PLvcOLUPydbwhnb9kwcyDu5jeHK8QcCbQjoP/bcTUqgRwE9H8OVTJHAu0I6P92XI1KIBcB4XculTp9nsLvBLUTfidANASBRAJxdfiBp14Ozz+2d+Tq8BiAz7JdipvfRAUzDIEMBfR/hkUzZQKJBPR/IkjDEMhQQP9nWDRTJpBQQPidEHPOQ7Uefn/v0JFw8x0fD7/8z/9p+Lf/4T+FJ7/57MBTvOItb1y1F3ibDtWtV8Ydt75Ny3vffVW487Ybw1lrz1yZovC7zWoZm8DsAk32Dl+zYW2xb/j5V8QtU7aM3S7Fze/sdTECgVwF9H+ulTNvArML6P/ZDY1AIFcB/Z9r5cybQBoB4Xcaxy5GaT387uKkRh3zO3v2h1/b+UD4zR03hUsv3lQ8hPPxJ75xWqBdjhE/v3nTBcWe5MeOvxo+es+nw8YLzgsf3n6d8LtvxTUfAg0FqtulFCvEd79U7Cde/4jbpZzcP3xL8et5W1+/sl2Km9+G2F5GYAEF9P8CFtUpEWgooP8bQnkZgQUU0P8LWFSnRGACAeH3BFg9e+ncwu+4AnzHbz0Qbvvg9UXoXP2Iq6s/9/CjQwPolGYxzH5u3wsr4XU9DB93rEFhuZXf49R8nkD/BZpslxLPotw//Mf/3sbw+p/cGNa+6dyZ9w/vv44ZEiBQFfCXX9cDgeUV0P/LW3tnTkD/uwYILLeA8Dvf+vci/I4B9D2ffDDs/MhN4dwN61rV/Nj9DxXjlyu3y21Zbt1+XbG6e9xH/f3x9cLvcWo+TyBPgRiIv/CVfScfqPnkS8Ve4scPHjvtZKoP1Iyrw+Mq8biNig8CBBZTwF9+F7OuzopAEwH930TJawgspoD+X8y6OisCTQWE302l+ve6XoTf47YeSckWw+tLNm8M1267phh2kvA7rlC/9/6HTtub/K//5m9TTtFYBAj0WODFP3sxxP9e+rMXw57/77lw8LmD4fjB46fN+JxLzglbrtkSNr79onDhT14YLvjJC8PacwTiPS6tqRFoLPBDZ5xRvPZvX3ut8Xu8kACBxRDQ/4tRR2dBYBoB/T+NmvcQWByBH/nhH1qck1myM2k9/I6rurfffm94/sVXhtJedOH54f67bz1tO5Q2ajHtyu8YfO/Y+cDAeb508EQbUzUmAQI9FvixtT8cwhlnhL889tfFyvD/8V/3hleefDG8svvl8PKfvzBw5uu3bAib/uGWcP4VF4bXXXGBFeI9rq+pERglUO1/UgQILJeA/l+uejtbAlUB/e96ILDcAhecs2a5ATI++9bD79Jm1J7f8/SbZs/vUcF3nLttT+ZZQcci0A+BUf/sMT5Q8+i+w+H5x05tmbL7pfCX+w6P3TIlbp+y8Z1vsGVKP0psFgSGCvhnzy4OAssroP+Xt/bOnID+dw0QWG4B257kW/+5hd99Iao/4LK+5Ur8/4cefnRla5NhW51Uz0f43ZfqmgeB+QlMc/MbV4gfiPuH734p7H9sXzi691CIQXn9I+4XftHVm4uHa8b9wze+8+TvfRAg0A+Bafq/HzM3CwIEZhXQ/7MKej+BfAX0f761M3MCKQSE3ykUuxlj6cLvyBwD7RtuuasQv+Itb1y1h3c9/I7bpHzqs7tWVae+TYvwu5uL11EJdCmQ6ua3/lDNGIwPC8RjEH7+qe1Sztt6QTh783qrxLu8CBx7aQVS9f/SAjpxAhkL6P+Mi2fqBGYU0P8zAno7gcwFhN/5FnCu4feo/b/rIXROpMLvnKplrgTSCLR581sNxOPvDzz1cji85+DAicf9w4tQ/NR/5219vUA8TYmNQmCoQJv9j50AgX4L6P9+18fsCLQpoP/b1DU2gf4LCL/7X6NhM5xb+H3s+Kvho/d8Olx15VvDT77tTeEzn/8v4babrw9nrT0zxNXVP/vTPxHe8fbLs5QUfmdZNpMmMJPAvG9+42rwF77y3RDD8Lg6/PnH9ha/H/RRbpdi25SZSuzNBITfrgECBE4TmPf3fyUgQKA/Avq/P7UwEwJdCAi/u1BPc8y5hd/VB17Gqd/zyQfDzo/cFM7dsK7YhuRzDz8a7rztxiIMz+1D+J1bxcyXwOwCfbj5LR+s2XQf8bNP7SFulfjs9TfCcgv0of+XuwLOnkB3Avq/O3tHJtC1gP7vugKOT6BbAeF3t/6zHL2T8Pu8c9aFnb/9mbDjVz9QhN9xO5RqGD7LCXXxXuF3F+qOSaBbgT7f/JZbpbzy5IvFKvH4X9NV4vYS7/a6cvQ8BPrc/3kImiWBfAX0f761M3MCswro/1kFvZ9A3gLC73zrN7fwu7rtybXbrim2Orlk88YQfx8fMvn4E9+w8jvf68jMCSydQG43v+Uq8ecf2xeO7jsU9sdf9x4a+HDNWMy4ZcpFV28p9hKPvz/vba8vfvVBgEAIufW/mhEgkE5A/6ezNBKB3AT0f24VM18CaQWE32k95zna3MLv+knFbVBuvuPj4clvPhsuuvD8cP/dt4ZLL940z3NPdiwrv5NRGohANgKLcvNbrhIv9xJ/4Sv7hj5cc82GtaG6dYpQPJvL1UQTCyxK/ydmMRyBpRDQ/0tRZidJYKCA/ndhEFhuAeF3vvXvLPzOl+z0mQu/F6mazoVAM4FFvvmt7yVeBuSH9xwciBND8WIf8SsuCGdv3hDO2/r64v/jn/sgsIgCi9z/i1gv50QgpYD+T6lpLAJ5Cej/vOpltgRSCwi/U4vOb7y5hd/VB17musJ7WFmE3/O7YB2JQF8ElvHmN4biB3a/XOwhHrdOeeXJl8KBp14Oxw8eG1iWuDK83DYl/hq3Tokrx4XifbmKzWNagWXs/2mtvI/Aogno/0WrqPMh0FxA/ze38koCiygg/M63qsLvBLUTfidANASBzATc/P6gYPWtU2IgHvcTF4pndlGbbmMB/d+YygsJLJyA/l+4kjohAo0F9H9jKi8ksJACwu98yzq38DsSxYdc/uxP/0R4x9svz1dswMyF3wtVTidDoJGAm9/xTJOG4vXtU+wpPt7YK7oR0P/duDsqgT4I6P8+VMEcCHQjoP+7cXdUAn0REH73pRKTz2Ou4fd39uwPn/n8fwm33Xx9OGvtmZPPtqfvEH73tDCmRaBFATe/0+NOE4p70Ob03t6ZXkD/pzc1IoFcBPR/LpUyTwLpBfR/elMjEshJQPidU7VWz3Vu4Xfc8/vmOz4envzmswO1rnjLG8N9d30onLthXXaawu/sSmbCBGYWcPM7M+FpAwwKxY/sORjiXuODPuJK8TIUX7d5fShWim+ND91cb1/x9OUxYkVA/7scCCyvgP5f3to7cwL63zVAYLkFhN/51n9u4Xe+RONnLvweb+QVBBZNwM3v/Cpaf9BmDMnjQzfjr8M+6g/bPHvzhiIUj3/ug8CsAvp/VkHvJ5CvgP7Pt3ZmTmBWAf0/q6D3E8hbQPidb/2E3wlqJ/nNGssAACAASURBVPxOgGgIApkJuPntvmAxFD+673A4sPullTB8XCheXS1+/tYLwpoNa8LGd24OZ25YY7V49yXNZgb6P5tSmSiB5AL6PzmpAQlkI6D/symViRJoRUD43QrrXAYVfidgFn4nQDQEgcwE3Pz2u2D1LVRiKH5076GhW6jEs6muFo8rxT1ws9817nJ2+r9Lfccm0K2A/u/W39EJdCmg/7vUd2wC3QsIv7uvwbQzEH5PK1d5n/A7AaIhCGQm4OY3s4Kdmu4sq8XPe9vrw9pz1oa4Yjz+Pu43HleS+1g+Af2/fDV3xgRKAf3vWiCwvAL6f3lr78wJRAHhd77XgfA7Qe2E3wkQDUEgMwE3v5kVrMF0B60W//7hE+HwnoND3+2hmw1gF/Al+n8Bi+qUCDQU0P8NobyMwAIK6P8FLKpTIjCBgPB7AqyevVT4naAgwu8EiIYgkJmAm9/MCjbDdKurxWNAfiTuM/7Uy+HInoMjt1EZtL/4eVsvKB68acX4DAXpwVv1fw+KYAoEOhLQ/x3BOyyBHgjo/x4UwRQIdCgg/O4Qf8ZDC79nBIxvF34nQDQEgcwE3PxmVrCWplvfRuXEoRPFwzeb7C9+5oa1xfYp67f8YH9xW6m0VKjEw+r/xKCGI5CRgP7PqFimSiCxgP5PDGo4ApkJCL8zK1hlusLvBLUTfidANASBzATc/GZWsA6mW26j8uqh40UgHv8//vr9w6+G4wePDZ3RsK1Uzly/pngIp4/uBfR/9zUwAwJdCej/ruQdl0D3Avq/+xqYAYEuBYTfXerPdmzh92x+xbuF3wkQDUEgMwE3v5kVrGfTjUH40X2Hw9F9JwPxuGJ8kq1U1m1eXwTh8eGb5Qpywfj8iqz/52ftSAT6JqD/+1YR8yEwPwH9Pz9rRyLQRwHhdx+r0mxOwu9mTiNfJfxOgGgIApkJuPnNrGAZTTcG468ePhEOnFotHvcYb7KVSjzFaiAeg/E1G9YE+4ynL77+T29qRAK5COj/XCplngTSC+j/9KZGJJCTgPA7p2qtnqvwO0HthN8JEA1BIDMBN7+ZFWxBplvdY7zcXzxuqxJXjR/ec3DkWVa3U4mhuFXj018U+n96O+8kkLuA/s+9guZPYHoB/T+9nXcSWAQB4Xe+VRR+J6id8DsBoiEIZCbg5jezgi3JdMt9xk9uq3JoZZ/xVw+dCDE4H/URV42v27whxIdultuqxFXj9ho/XU3/L0lDOU0CAwT0v8uCwPIK6P/lrb0zJxAFhN/5XgfC7wS1E34nQDQEgcwE3PxmVjDTLcLvuM94dTuVozEk/+7hRqvGz6ysFl/2LVX0v4YisLwC+n95a+/MCeh/1wCB5RYQfudbf+F3gtoJvxMgGoJAZgJufjMrmOmOFShXjcdtVMqHcDbdazxuqVKG43EF+dmbN5zcb/xtry9WksfPL9KH/l+kajoXApMJ6P/JvLyawCIJ6P9FqqZzITC5gPB7crO+vEP4naASwu8EiIYgkJmAm9/MCma6MwnEVeNx65S4t3i5pUq553hcPT5uS5VqOH7mhrXFfuPlwzhz3FZF/890OXkzgawF9H/W5TN5AjMJ6P+Z+LyZQPYCwu98Syj8TlA74XcCREMQyEzAzW9mBTPdVgXKLVXitirV/caPfvdIiOH48YPHxh4/rhgvH8JZ7jkeV5CfvXl9iJ/r04f+71M1zIXAfAX0/3y9HY1AnwT0f5+qYS4E5i8g/J6/eaojCr8TSAq/EyAagkBmAm5+MyuY6XYqMGrl+PcPnxi753icfAzAq6vGYzB+couV9cV/89xaRf93ejk5OIFOBfR/p/wOTqBTAf3fKb+DE+hcQPjdeQmmnoDwe2q6H7xR+J0A0RAEMhNw85tZwUy31wLVcDzuOR5Xjx/Zd7hYNX5k36Hi/8d91LdWaXP1uP4fVw2fJ7C4Avp/cWvrzAiME9D/44R8nsBiCwi/862v8DtB7YTfCRANQSAzATe/mRXMdLMXiAH4q4dPhAO7XwrlfuPlwznjfuTj9h2PAOXq8WowXj6YM64qb7q9iv7P/nJyAgSmFtD/U9N5I4HsBfR/9iV0AgRmEhB+z8TX6ZuF3wn4hd8JEA1BIDMBN7+ZFcx0F16gvnr8lVMh+SSrx6sBeflQzri9Sj0g1/8Lfzk5QQJDBfS/i4PA8gro/+WtvTMnEAWE3/leB8LvBLUTfidANASBzATc/GZWMNMlEEKxfUp19fjRfYeKVeQHnno5nDh4rNH2KhFyw8XnhDXnrA3nvPX1RTA+KCAHToDAYgr4/r+YdXVWBJoI6P8mSl5DYHEFhN/51lb4naB2wu8EiIYgkJmAm9/MCma6BBoKDArI458d/e6RiQLy+hYrZ65fc+oBnScf0nnmhjVzfUhnw9P3MgIExgj4/u8SIbC8Avp/eWvvzAlEAeF3vteB8DtB7YTfCRANQSAzATe/mRXMdAkkFPjbl46GVw+/Gvb9yf5i5fi0K8irD+n80fVrwvotG1b2JS8C8lOBecKpG4oAgRkFfP+fEdDbCWQsoP8zLp6pE0ggIPxOgNjREMLvBPDC7wSIhiCQmYCb38wKZroEEgo06f9hW6yUe5A3fUhnnHZ1FXnxYM7N61f+7Ly3vd4q8oS1NRSBcQJN+n/cGD5PgECeAvo/z7qZNYFUAsLvVJLzH0f4ncBc+J0A0RAEMhNw85tZwUyXQEKBVP1ff0hnDMyP7DscXj10/Ae/7j3UaOblKvJ1mzeEs7ecfEhnuRd5/NVWK40YvYjAWIFU/T/2QF5AgEDvBPR/70piQgTmKiD8nit30oMJvxNwCr8TIBqCQGYCbn4zK5jpEkgoMO/+H7eK/PuHXw3HDx5rdIZC8kZMXkRgqMC8+18pCBDoj4D+708tzIRAFwLC7y7U0xxT+J3AUfidANEQBDITcPObWcFMl0BCgT72f7mK/Oi+wyt7kJd7kcetVo5+93A4cfB4iK9r+lFut3L+1guKt1S3Wzn7DetCsQXLlg1Nh/M6Agsh0Mf+XwhYJ0EgAwH9n0GRTJFAiwLC7xZxWx5a+J0AWPidANEQBDITcPObWcFMl0BCgZz7f1xIfmTfoTDJfuRFKL5lw8kgPD6ks/JrufWKLVcSXnyG6lwg5/7vHM8ECGQuoP8zL6DpE5hRQPg9I2CHbxd+J8AXfidANASBzATc/GZWMNMlkFBgGfp/UEhe3Yv86HePFHuTH95zsLFsueVKPSgvw/NyNfmZG9aE+FofBPoosAz930d3cyLQBwH934cqmAOB7gSE393Zz3pk4fesgiEE4XcCREMQyEzAzW9mBTNdAgkF9P9qzHJP8rjlShGQ7z0UXj18Ipw4dCLELVemWU1e35s8HnHVtitxlfn6NUFQnvDCNlQjAf3fiMmLCCykgP5fyLI6KQKNBYTfjal690Lhd4KSCL8TIBqCQGYCbn4zK5jpEkgooP+nw6yvJo+jxKD8yKnQfJrV5HGMalAew/ByZXm5H/nZmzcEW69MVzPvOl1A/7sqCCyvgP5f3to7cwJRQPid73Ug/E5QO+F3AkRDEMhMwM1vZgUzXQIJBfR/QswhQ43bdiUG5t8/fGKibVfKQ9X3KC/3Jo+/xuC8CMrXr/Ewz/bLnOUR9H+WZTNpAkkE9H8SRoMQyFZA+J1t6YLwO0HthN8JEA1BIDMBN7+ZFcx0CSQU0P8JMRMMNWpFeRx+2q1X4nuHrSqPIXn1gZ7xteVK8wSnZIgeC+j/HhfH1Ai0LKD/WwY2PIGeCwi/e16gEdMTfieonfA7AaIhCGQm4OY3s4KZLoGEAvo/IWYHQ43ao7z6UM/4ukk/hu1VLiyfVLK/r9f//a2NmRFoW0D/ty1sfAL9FhB+97s+o2Yn/E5QO+F3AkRDEMhMwM1vZgUzXQIJBfR/QsyeD9V0VXk8jVnD8up+5WVYXt2GxcM9+3Gx6P9+1MEsCHQhoP+7UHdMAv0REH73pxaTzkT4PanYgNcLvxMgGoJAZgJufjMrmOkSSCig/xNiLthQZQB+dN/hcHTfyZXj5UM94+/LLVimDcvj+8o9y9esXxPO3rKh2H6lukd5+YDP8rULRtz56ej/zktgAgQ6E9D/ndE7MIFeCAi/e1GGqSYh/J6KbfWbhN8JEA1BIDMBN7+ZFcx0CSQU0P8JMZd8qOrK8lcPnwjFtit7D4X4+xOHTv3/vsPFn3//8Kvh+MFjE4uVW7HEVeTr4sM8T+1XLjCfmLJ4g/6fzs27CCyCgP5fhCo6BwLTCwi/p7fr+p3C7wQVEH4nQDQEgcwE3PxmVjDTJZBQQP8nxDTURAJlWH4yKD9RrC6vhuRxsHJ1+RlnnBEO7zk40fjli6uB+agV5sVWLevXhGXakkX/T3VJeROBhRDQ/wtRRidBYGoB4ffUdJ2/UfidoATC7wSIhiCQmYCb38wKZroEEgro/4SYhmpdoBqYx+1Y4iryQYH50e8eDq+99tpUe5eXJxG3ZIkf6zZvKLZkOfn79Sd/3bKhWHUew/KzK3/WOkDiA+j/xKCGI5CRgP7PqFimSqAFAeF3C6hzGnIpw++vff3pcMMtdxXEV7zljeG+uz4Uzt2wbiT5d/bsD/d88sGw8yM3nfZa4fecrlaHIdAjATe/PSqGqRCYs4D+nzO4w81doGlgfuLwifD9U6vQp9mSJZ7YoFXmZWheffBnX0Jz/T/3y9EBCfRGQP/3phQmQqATAeF3J+xJDrp04XcMsX9t5wPhN3fcFC69eFP4/K4vh8ef+Ea487Ybw1lrzzwN9XuHjoSb7/h4ePKbzw4NyoXfSa5FgxDISsDNb1blMlkCSQX0f1JOgy2QwLAHflb3MC+2a0mwynxUaF6E56dWnscHgKbcnkX/L9AF61QITCig/ycE83ICCyYg/M63oEsXfsew+7l9L4QPb7+uqFo9DB9WSiu/873IzZxAGwJufttQNSaBPAT0fx51Mss8BAbtYx5nXn/wZxmax89Nu5d5KVLdnqUIxjesLT616oGgQ7Zo0f95XFdmSaANAf3fhqoxCeQjIPzOp1b1mS5d+P2x+x8qDMrwu1zZfev268I73n750EqOCr9f+N6xfK+A3s78jN7OLNeJEU1buR9b+8MhnHFG+Mtjf512YKMRINB7gbPX/kjR/0ePfb/3czVBAosqUA3N4x7m5arzlV/3HSpOvQjRD50Ixerzg3G/8+MzkWy4+Jzi/T+2ef3Kli3x/+M+52tOBemrfl2yB4LOhOvNBHou4P6/5wWqTO+1fKaa2UyXW3bjuWdlVi/TLQWWMvy+ZPPGcO22awqDFOH33/zNcn8BaKedmKZ2JZpW9IfOOPnjhL99bXllzzhlkFbWaAT6L1Be+kvc/v0vkhkSGCFw8LmDxWcP7TlUBOLHDx0Px+OvMRw/eOLk70/92aHnDob4/e57//17M5uec8nJ4HztOWvDmnPWhnNOBekbLjn5cNDy82XAvuHi1X8+8wQMQCCBQHww7rJ+uP/Pp/IWfrVVq+WW/eEfXu7zb+uqmse4Sxl+R9iUK7/t+T2PS9UxCPRLwD977Fc9zIbAPAX0/zy1HYtAvwT+9qWjxb/8ePFbB4rV5K8eiqvJT/5a39v8yL5DRXCeYsV5VKhu1xL//+wtG0IMItef2t+8us958fnN6wu88s/7JWk2BPIT8P0/v5qZMYGUArY9Sak537GWLvy25/d8LzBHI7CoAm5+F7WyzovAeAH9P97IKwgsqsAs/V9uyXIyND8Rjla2ZoleR/YdLtiO7j25ZUuKB4NW61CG4HGP8zXr1xThefwotmkptmdZu7J1S/H/688s/izuix4fMOqDwLILzNL/y27n/AksgoDwO98qLl34XX/AZQzDH3/iG+HO224MZ609M8T/f+jhR8N9d30onLth3UplPfAy34vczAm0IeDmtw1VYxLIQ0D/51EnsyTQhkCX/V+G50f3HV5ZdV6E5qfC8np4HleeVz8/q0cMwGMQHj/iHuf1h4UWf34qUC9C81P7nZe/CtBnrYD3dy3QZf93fe6OT4BACMLvfK+CpQu/Y6m+9vWnww233FVU7Yq3vHFV0F0Pv8s9wZ/85rMrVf6V929b2TYl/qFtT/JtADMnMK2Am99p5byPQP4C+j//GjoDAtMK5Nz/w1ael9u2lOF5sYVL3MrlyKsnt3VJ8KDQ0rseoMc/H7YCvfjc5pOr08stXKxCn/bK9b4UAjn3f4rzNwaBZRcQfud7BSxl+J26XMLv1KLGI9B/ATe//a+RGRJoS0D/tyVrXAL9F1jm/j9xKhSPVRq3+rwM0Mt9z2OYfvzgsWQFbrIKvdzGRYiejH3pB1rm/l/64gMgEKz8zvkiEH4nqJ7wOwGiIQhkJuDmN7OCmS6BhAL6PyGmoQhkJqD/ZytYPUA/GaSf3J6l/uDQ4nN7D4UTpx4sGh8eenjPwdkmUHt3k5Xo8S3DtnOpfi7pxAzWSwH938uymBSBuQlY+T036uQHEn4nIBV+J0A0BIHMBNz8ZlYw0yWQUED/J8Q0FIHMBPR/PwrWZBV6fLBoDNQHhegpt3IpRcqAvAjET23X8mOb14cY2pcPFR0YpJ96sGj8nG1d+nF9DZuF/u93fcyOQNsCwu+2hdsbX/idwFb4nQDREAQyE3Dzm1nBTJdAQgH9nxDTUAQyE9D/mRVszHQnXYlebucSV6N///CJ8Nprr608cDSlTHVFerF9S/nw0A1ri2OurzxYNAbr8aPcH714EOn6Uw8mPfW6lHNb5rH0/zJX37kTsO1JzteA8DtB9YTfCRANQSAzATe/mRXMdAkkFND/CTENRSAzAf2fWcHmON3ygaLxkHFP9JO/rt7SJf7ZoAeLnji1H3p1jJRTHxWmx+OMWpl+MlhfX0xn2Vem6/+UV6WxCOQnYOV3fjUrZyz8TlA74XcCREMQyEzAzW9mBTNdAgkF9H9CTEMRyExA/2dWsEynW12RHrdviQ8MPfnr8eKMypC8vrVL/Fzbq9JL0kH7pRerzjesLV4yKFA/GaRvKD5fBurx99UtY/pcMv3f5+qYG4H2BYTf7Ru3dQThdwJZ4XcCREMQyEzAzW9mBTNdAgkF9H9CTEMRyExA/2dWMNMtBMaF6eXDRuNr6yvTT/7ZoWLv8jb2Sq+WaNAK9SIor2zfsm5lFfraImCPHzFwL7d6aTNU1/8aisByCwi/862/8DtB7YTfCRANQSAzATe/mRXMdAkkFND/CTENRSAzAf2fWcFMtzWBQdu8VFenjwvUj3735NYwbe2bXj/xQQ8kbbJSvRqsX3jZuSGccUb4y2N/nc1q9dYuAAMTWEIB4Xe+RRd+J6id8DsBoiEIZCbgL7+ZFcx0CSQU0P8JMQ1FIDMB/Z9ZwUw3K4FBK9TjCZR7p8ffD9rypXwQafHa7x4uAvW4Uv3wnoOtn391tXo82LpT27rEYP1H168p5lHdAqZ4gOmpFevx9YMeVLrse6u3XjQHIDClgPB7SrgevE34naAIwu8EiIYgkJmAv/xmVjDTJZBQQP8nxDQUgcwE9H9mBTNdAqcEplmpXoTpe08+tDR+/NX/OFIE63/72msrIXzbwE3C9TiHcjuY4veVbWLKcD3+eXVLGAF725Uz/iIKCL/zrarwO0HthN8JEA1BIDMBf/nNrGCmSyChgP5PiGkoApkJ6P/MCma6BBIKDOr/6mr1Iizfd3I7l2FbwFQfUlpdsV59UGl8wGkcd14fw/Zar24LMypgr24NU7xn/cm92Iv3VIL4eZ2P4xBoS0D43ZZs++MKvxMYC78TIBqCQGYC/vKbWcFMl0BCAf2fENNQBDIT0P+ZFcx0CSQU6KL/m4Tr8RSrK9vLh5bGP6+uXC+3hKm/PiHRyKGqQXix/cupkLxpyB4Ht5J9XtVynEECwu98rwvhd4LaCb8TIBqCQGYCXdz8ZkZkugQWVkD/L2xpnRiBsQL6fyyRFxBYWIFF7f9qcH5yxfqJoobV1eujAvZBK9jj6+f1MNP6BVffKqZp0F7fj92K9oVt5alPTPg9NV3nbxR+JyiB8DsBoiEIZCawqDe/mZXBdAl0IqD/O2F3UAK9END/vSiDSRDoRED/z8Y+a8gej15dyX5k36HigaLx48TB43PdKqYq0SRsLx/CWn34aRyjvi3MsJXtg147WzW8exoB4fc0av14j/A7QR2E3wkQDUEgMwE3v5kVzHQJJBTQ/wkxDUUgMwH9n1nBTJdAQgH9nxCzxaHqW8U0Xc1e3Y+9HrRX92SPn6sG+S2eytChRwXu8U1nn9prvQzdqw9EHbXCvXjv5vWrjuvhqD/gEH53cbWnOabwO4Gj8DsBoiEIZCbg5jezgpkugYQC+j8hpqEIZCag/zMrmOkSSCig/xNiLtBQk4TtJw7FbWV+8DDT6v7s9cA9rmyPH3F1e1dbyAwqU321+rrNG1ZeVt+/PX5iVPB+MmyvvH/9mSGG89WPPj00Vfidb+MKvxPUTvidANEQBDITcPObWcFMl0BCAf2fENNQBDIT0P+ZFcx0CSQU0P8JMQ01k8CowL0I0U8F5+VB6lvOxBC+/Kju2R7/rB66xz3g4/H68jEqfC/C9FOr3sv5VsP3+Gf191f3do+fP3NEAC/87stVMPk8hN+Tm532DuF3AkRDEMhMwM1vZgUzXQIJBfR/QkxDEchMQP9nVjDTJZBQQP8nxDRUtgL1LV+O7jv8gyC9eGDq6qB8VPAe31jdx/3VI68W7y+3a4mfP7znYG+sPvraR3szFxOZTED4PZnXwFcLvxMgGoJAZgJufjMrmOkSSCig/xNiGopAZgL6P7OCmS6BhAL6PyGmoQhMKTAqfC/C9BGr3uPn61vN1Fe+jwrghd9TFq0HbxN+JyiC8DsBoiEIZCbg5jezgpkugYQC+j8hpqEIZCag/zMrmOkSSCig/xNiGopAhgK2PcmwaKemLPxOUDvhdwJEQxDITMDNb2YFM10CCQX0f0JMQxHITED/Z1Yw0yWQUED/J8Q0FIEMBYTfGRZN+J2uaMLvdJZGIpCLgJvfXCplngTSC+j/9KZGJJCLgP7PpVLmSSC9gP5Pb2pEAjkJCL9zqtbquVr5naB2wu8EiIYgkJmAm9/MCma6BBIK6P+EmIYikJmA/s+sYKZLIKGA/k+IaSgCGQoIvzMs2qkpC78T1E74nQDREAQyE3Dzm1nBTJdAQgH9nxDTUAQyE9D/mRXMdAkkFND/CTENRSBDAeF3hkUTfqcrmvA7naWRCOQi4OY3l0qZJ4H0Avo/vakRCeQioP9zqZR5EkgvoP/TmxqRQE4Cwu+cqrV6rlZ+J6id8DsBoiEIZCbg5jezgpkugYQC+j8hpqEIZCag/zMrmOkSSCig/xNiGopAhgLC7wyLdmrKwu8EtRN+J0A0BIHMBNz8ZlYw0yWQUED/J8Q0FIHMBPR/ZgUzXQIJBfR/QkxDEchQQPidYdGE3/kWzcwJECBAgAABAgQIECBAgAABAgQIECBAYLSAld+uEAIECBAgQIAAAQIECBAgQIAAAQIECBBYOAHh98KV1AkRIECAAAECBAgQIECAAAECBAgQIECAgPDbNUCAAAECBAgQIECAAAECBAgQIECAAAECCycg/J6ypJ/f9eXw63d/unj3e999VbjzthvDWWvPnHI0byNAoC8C39mzP2y//d7w/IuvFFO64i1vDPfd9aFw7oZ1K1Mc1f/fO3Qk3HzHx8OT33y2eP3vfuKO8I63X96X0zMPAgQaCpRfCz74S78Qrt12jf5v6OZlBHIX+Nj9D4VPfXZXcRq/8v5t4cPbr9P/uRfV/Ak0EKje31904fnh/rtvDZdevEn/N7DzEgK5CsTv+Zds3rjqXj+ey9e+/nS44Za7BuYBx46/Gj56z6fDF774ePH537j9xlXvlwf082oQfk9Rl9gI997/0EogFhsmflRvjqcY1lsIEOiBQOzvfftfWvkGFvv7hZcOrPyAa1T/l98Ir7ryrcX7Y3j2azsfCL+546ZVN889OE1TIEBghED1h2DVG1r977IhsNgCo+7p9f9i197ZLbdAvb/H/X/1a4X7/+W+dpx9ngLVH3bVw+v63+Hjax9/4hsreUC1/8ug+9bt1xUL3nw96O/1IPyeojb1nw7VvzlOMaS3ECDQU4FBf9mt/nS4+vkDB4+Eez75YNj5kZuKleL1b349PUXTIkCgIhBvYnf81gPhX9/4P4d/99B/DuUPs+JLRn3/1/8uIwJ5C8Tv5597+NGh/5pT/+ddX7MnMEqgHm7Vwy/97/ohsJgCg1Z+x68Hz+17YWVxa/XrwXnnrCv+nnDbB69fWdxWDcPja+UB/bxWhN8T1mVQmGV154SIXk4gI4HqzXCcdvwnTtUwrNr/B753eNW/CinDsvirfxmSUdFNdWkFqqs3tl7+xlX9Pu77v/5f2svGiS+IQHUVWHlK5dZl+n9Biuw0CAwRKL//b9l0QfEDsEe+9PhK+KX/XTYEFldgUPhd/1dg1b8fnHfu+tP+ZXc1L9j99LPygJ5eLsLvCQtTfvP7xfe9a2UfX+H3hIheTiATgXpvj+v/GH7VV43ZFimTYpvm0gvU+7v+l139v/SXCIAFFxi0snPHzgeKfX83Xfi64odhw+7/ff9f8IvD6S2FQPwa8N++sy/81z9+MlT3/Pb9fynK7ySXVGBY+F39l9718Lu6sjuy1cNveUA/Lybh94R1GfeT3+pDMSYc2ssJEOiRQLnn784dN638oGtc/1v52aMCmgqBCQXqD6epvj3uBfien7vKv/yY0NTLCeQkUP8LcPV7vv7PqZLmSmBygfo2B3EbpPoPv/zLz8ldvYNA3wWs/O57hdLNT/g9haU9v6dA8xYCGQkMCr7L6dvzL6NCmiqBGQQG/bBL/88A6q0Eei5QD7/qqz31f88LaHoEZhCo93f9IXb6fwZcbyXQYwF7fve4OImnJvyeAnTU096nGM5bCBDokcC4bYxG9b+niwIo8gAADgBJREFUO/eokKZCYEaBQeG3/p8R1dsJ9Fig/oPver/r/x4Xz9QIzCgQf/j10MOPhvvu+lDx0Prqyu/4L7v1/4zA3k6gpwKDwu96HlB/IG51W9P6D8rkAT0tdAhB+D1lbaoPxXnvu68a+mT4KYf3NgIEOhIY9MCrOJXyoVfx96P6v751QvV9HZ2SwxIgMIXAoPBb/08B6S0EMhKIAdcNt9xVzLi65295Cr7/Z1RMUyUwoUAMtD712V36f0I3LyeQo0D97/z17/nV+4Er3vLGlR+MxXMt/47whS8+Xpx63B7x2m3XrDDIA/p5RQi/+1kXsyJAgAABAgQIECBAgAABAgQIECBAgACBGQSE3zPgeSsBAgQIECBAgAABAgQIECBAgAABAgQI9FNA+N3PupgVAQIECBAgQIAAAQIECBAgQIAAAQIECMwgIPyeAc9bCRAgQIAAAQIECBAgQIAAAQIECBAgQKCfAsLvftbFrAgQIECAAAECBAgQIECAAAECBAgQIEBgBgHh9wx43kqAAAECBAgQIECAAAECBAgQIECAAAEC/RQQfvezLmZFgAABAgQIECBAgAABAgQIECBAgAABAjMICL9nwPNWAgQIECBAgAABAgQIECBAgAABAgQIEOingPC7n3UxKwIECBAgQIAAAQIECBAgQIAAAQIECBCYQUD4PQOetxIgQIAAAQIECBAgQIAAAQIECBAgQIBAPwWE3/2si1kRIECAAAECBAgQIECAAAECBAgQIECAwAwCwu8Z8LyVAAECBAgQIECAAAECBAgQIECAAAECBPopIPzuZ13MigABAgQIECBAgAABAgQIECBAgAABAgRmEBB+z4DnrQQIECBAgAABAgQIECBAgAABAgQIECDQTwHhdz/rYlYECBAgQIAAAQIECBAgQIAAAQIECBAgMIOA8HsGPG8lQIAAAQIECBAgQIAAAQIECBAgQIAAgX4KCL/7WRezIkCAAAECBAgQIECAAAECBAgQIECAAIEZBITfM+B5KwECBAgQIECAwOQCH7v/obDrS18N9999a7j04k2TD7Ag7zh2/NXw0Xs+Hb7wxceLM/rdT9wR3vH2yxfk7JqfRumwd/9L4b67PhTO3bCu+Zu9kgABAgQIECBAgMAIAeG3y4MAAQIECBAgsAAC39mzP2y//d7w/IuvDD2b37j9xrB50wVhx84HOguev/b1pzs9fp9K/fldXw6PP/GNcOdtN4az1p45dmqxxr+284HwmztuGvhDg/hDhU99dlcxzkUXnj+3GsfzeOjhR4vgeu2aNUWgf9WVbw3Xbrtm7DmVLygD8I0XnBc+vP26xu/zQgIECBAgQIAAAQKjBITfrg8CBAgQIECAwAIKTBqszoOgDDgnDUbnMbcujhHD6ks2bxwbEscfGNxwy10jQ+16vbv6IcMsNR4X7ndRI8ckQIAAAQIECBDIW0D4nXf9zJ4AAQIECBAgMFBgWPgdQ9F7739oZXuJ8nU/8dZLw87/6zPFWFe85Y3F5//tg4+srCR+77uvOm2F8qQrjUeFm987dCTcfMfHw5PffHblfMp5xG0wynn+/D/+meJ18aPcJqQaDsc/jyvcy1XH5bi3br9uZUuRekBbmsTXxFXxcfV8feV0fYuS+nEGFaG+Gv9X3r9tZVVz1S6+d5Bvfcxhfk3OcdD86tdCfE39GIPc6zbVa+2+3/uPK9dMHK/62vo5Vz3K+cXXxA+rv31hI0CAAAECBAgQSCEg/E6haAwCBAgQIECAQM8EJgm/f/3uT68ExtWQtwyRB63mrYeUTVYaD5tTGd5e9753rYTWg0L6OM96YFo/bn2sJsFwGZ5XA+jqVh4xfK+fbxw3/nDg5l/6ZwO3LCmD7507bipC9/q2HtOskB4Wfg/783FBctPwu+4ex33hpQMrPwyp1jW2waBtT+q1j+cfg/Jfvv49q/b4jnP63MOPNt4KpmdtZzoECBAgQIAAAQI9ExB+96wgpkOAAAECBAgQSCEwSfhd33d60Hurf7b/xb8I93zywbDzIzetBJdNwtxh23wMOt6wFer1/bEHBbzV8Y6fOFGsFG+y8rv6sMVqaL718jdOvI/1uHOaZm/sScPvcVvfNA2/69fHqNoMC7/HBfHlNR/PsX5tpegHYxAgQIAAAQIECCyngPB7OevurAkQIECAAIEFF2gz/N799LMre1DXGatbjtQ/Nyz8HhSMNgm/y8D9F9/3rpUtTeIxqwFq/P9pwu96mB894wro+NFki5JB5xoD9R2/9UC47YPXh00Xvm7iQD3n8Lu6NU11O5v6NVI1uvTiTQvepU6PAAECBAgQIECgbQHhd9vCxidAgAABAgQIdCDQdvhd3Te86emNCr/rD37sW/hdnmPTELwP4fe41dbzXPld+o0LwYXfTbvJ6wgQIECAAAECBJoICL+bKHkNAQIECBAgQCAzgTbD77jtya/tfCD85o6bwiSrc1Ov/I4lmce2J3HP7vrHoOC4+pp5bnvSZF/zQZdvG+H3WWvPLGpS/2FG/fijVrHb9iSzLzamS4AAAQIECBDosYDwu8fFMTUCBAgQIECAwLQCbYbfcU7xoYZ7978Uqvtkx2Nu3nTBqi1IxgXC8fP1h1aWW45Uxx91Pjt2PhDuv/vWIoivP/Cy/qDJeLxy9Xa5RcugELj6UMe4b/jO3/5M2PGrH1jZ43zcftrzfOBleU7VvbmbPIB02Bz/dPczK57jQvz4MND6a+oPxIw1uOe+B8MHrv1HKz8sGfbDAw+8nLbjvY8AAQIECBAgQGCQgPDbdUGAAAECBAgQWECBNsPvuLo3fsSQ81Of3bWiN2ov5/iiYat9ywD8hlvuKsa66MLzww3X/dPwB//lj1bC9VFhc3Urjfj++r7jZSD+5DefLcbf8b99IPz5N74TrrryreHabdcU4Xt57PJk6vt6T3qu5fluv/3e8PyLrxTD/sr7t4UPb7+u+H2TB4SWcxk0v2hUBv7l66pzHPT5QZd5dez4nttu/ufh3z74yMqq/mnC76p3OY8/e+rbK3umlzWuz7+8psatGl/AdnVKBAgQIECAAAECLQkIv1uCNSwBAgQIECBAgMBqgUkD3889/Gi487YbQxm2t+U5bguTto5r3NUCo344wooAAQIECBAgQIDANALC72nUvIcAAQIECBAgQGAqgUHbccSVwnG18c2/9M+KoHuSkHyqSdTeJPxOoTjbGIO2p5ltRO8mQIAAAQIECBAgEILw21VAgAABAgQIECAwV4G4PceuL331tH26y21J4mTqW5e0OUHhd5u648cetMf7+Hd5BQECBAgQIECAAIHxAsLv8UZeQYAAAQIECBAgQIAAAQIECBAgQIAAAQKZCQi/MyuY6RIgQIAAAQIECBAgQIAAAQIECBAgQIDAeAHh93gjryBAgAABAgQIECBAgAABAgQIECBAgACBzASE35kVzHQJECBAgAABAgQIECBAgAABAgQIECBAYLyA8Hu8kVcQIECAAAECBAgQIECAAAECBAgQIECAQGYCwu/MCma6BAgQIECAAAECBAgQIECAAAECBAgQIDBeQPg93sgrCBAgQIAAAQIECBAgQIAAAQIECBAgQCAzAeF3ZgUzXQIECBAgQIAAAQIECBAgQIAAAQIECBAYLyD8Hm/kFQQIECBAgAABAgQIECBAgAABAgQIECCQmYDwO7OCmS4BAgQIECBAgAABAgQIECBAgAABAgQIjBcQfo838goCBAgQIECAAAECBAgQIECAAAECBAgQyExA+J1ZwUyXAAECBAgQIECAAAECBAgQIECAAAECBMYLCL/HG3kFAQIECBAgQIAAAQIECBAgQIAAAQIECGQmIPzOrGCmS4AAAQIECBAgQIAAAQIECBAgQIAAAQLjBYTf4428ggABAgQIECBAgAABAgQIECBAgAABAgQyExB+Z1Yw0yVAgAABAgQIECBAgAABAgQIECBAgACB8QLC7/FGXkGAAAECBAgQIECAAAECBAgQIECAAAECmQkIvzMrmOkSIECAAAECBAgQIECAAAECBAgQIECAwHgB4fd4I68gQIAAAQIECBAgQIAAAQIECBAgQIAAgcwEhN+ZFcx0CRAgQIAAAQIECBAgQIAAAQIECBAgQGC8gPB7vJFXECBAgAABAgQIECBAgAABAgQIECBAgEBmAsLvzApmugQIECBAgAABAgQIECBAgAABAgQIECAwXkD4Pd7IKwgQIECAAAECBAgQIECAAAECBAgQIEAgMwHhd2YFM10CBAgQIECAAAECBAgQIECAAAECBAgQGC8g/B5v5BUECBAgQIAAAQIECBAgQIAAAQIECBAgkJmA8DuzgpkuAQIECBAgQIAAAQIECBAgQIAAAQIECIwXEH6PN/IKAgQIECBAgAABAgQIECBAgAABAgQIEMhMQPidWcFMlwABAgQIECBAgAABAgQIECBAgAABAgTGCwi/xxt5BQECBAgQIECAAAECBAgQIECAAAECBAhkJiD8zqxgpkuAAAECBAgQIECAAAECBAgQIECAAAEC4wWE3+ONvIIAAQIECBAgQIAAAQIECBAgQIAAAQIEMhMQfmdWMNMlQIAAAQIECBAgQIAAAQIECBAgQIAAgfECwu/xRl5BgAABAgQIECBAgAABAgQIECBAgAABApkJCL8zK5jpEiBAgAABAgQIECBAgAABAgQIECBAgMB4AeH3eCOvIECAAAECBAgQIECAAAECBAgQIECAAIHMBITfmRXMdAkQIECAAAECBAgQIECAAAECBAgQIEBgvMD/DzjJladH0aagAAAAAElFTkSuQmCC",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=2, relative to amplitude of constant bias\",\n",
" color_discrete_sequence = ['purple'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 2\", \"index\":\"Time (groups of 10 units)\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "8e117d65-9108-4b8f-9108-ccba6fcba097",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 2=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "purple",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"showlegend": true,
"type": "scattergl",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499,
500,
501,
502,
503,
504,
505,
506,
507,
508,
509,
510,
511,
512,
513,
514,
515,
516,
517,
518,
519,
520,
521,
522,
523,
524,
525,
526,
527,
528,
529,
530,
531,
532,
533,
534,
535,
536,
537,
538,
539,
540,
541,
542,
543,
544,
545,
546,
547,
548,
549,
550,
551,
552,
553,
554,
555,
556,
557,
558,
559,
560,
561,
562,
563,
564,
565,
566,
567,
568,
569,
570,
571,
572,
573,
574,
575,
576,
577,
578,
579,
580,
581,
582,
583,
584,
585,
586,
587,
588,
589,
590,
591,
592,
593,
594,
595,
596,
597,
598,
599,
600,
601,
602,
603,
604,
605,
606,
607,
608,
609,
610,
611,
612,
613,
614,
615,
616,
617,
618,
619,
620,
621,
622,
623,
624,
625,
626,
627,
628,
629,
630,
631,
632,
633,
634,
635,
636,
637,
638,
639,
640,
641,
642,
643,
644,
645,
646,
647,
648,
649,
650,
651,
652,
653,
654,
655,
656,
657,
658,
659,
660,
661,
662,
663,
664,
665,
666,
667,
668,
669,
670,
671,
672,
673,
674,
675,
676,
677,
678,
679,
680,
681,
682,
683,
684,
685,
686,
687,
688,
689,
690,
691,
692,
693,
694,
695,
696,
697,
698,
699,
700,
701,
702,
703,
704,
705,
706,
707,
708,
709,
710,
711,
712,
713,
714,
715,
716,
717,
718,
719,
720,
721,
722,
723,
724,
725,
726,
727,
728,
729,
730,
731,
732,
733,
734,
735,
736,
737,
738,
739,
740,
741,
742,
743,
744,
745,
746,
747,
748,
749,
750,
751,
752,
753,
754,
755,
756,
757,
758,
759,
760,
761,
762,
763,
764,
765,
766,
767,
768,
769,
770,
771,
772,
773,
774,
775,
776,
777,
778,
779,
780,
781,
782,
783,
784,
785,
786,
787,
788,
789,
790,
791,
792,
793,
794,
795,
796,
797,
798,
799,
800,
801,
802,
803,
804,
805,
806,
807,
808,
809,
810,
811,
812,
813,
814,
815,
816,
817,
818,
819,
820,
821,
822,
823,
824,
825,
826,
827,
828,
829,
830,
831,
832,
833,
834,
835,
836,
837,
838,
839,
840,
841,
842,
843,
844,
845,
846,
847,
848,
849,
850,
851,
852,
853,
854,
855,
856,
857,
858,
859,
860,
861,
862,
863,
864,
865,
866,
867,
868,
869,
870,
871,
872,
873,
874,
875,
876,
877,
878,
879,
880,
881,
882,
883,
884,
885,
886,
887,
888,
889,
890,
891,
892,
893,
894,
895,
896,
897,
898,
899,
900,
901,
902,
903,
904,
905,
906,
907,
908,
909,
910,
911,
912,
913,
914,
915,
916,
917,
918,
919,
920,
921,
922,
923,
924,
925,
926,
927,
928,
929,
930,
931,
932,
933,
934,
935,
936,
937,
938,
939,
940,
941,
942,
943,
944,
945,
946,
947,
948,
949,
950,
951,
952,
953,
954,
955,
956,
957,
958,
959,
960,
961,
962,
963,
964,
965,
966,
967,
968,
969,
970,
971,
972,
973,
974,
975,
976,
977,
978,
979,
980,
981,
982,
983,
984,
985,
986,
987,
988,
989,
990,
991,
992,
993,
994,
995,
996,
997,
998,
999,
1000
],
"xaxis": "x",
"y": [
0.3333333333333333,
0.33229687657832013,
0.33127505940246393,
0.3302639494810557,
0.3292620556172948,
0.3282684966544098,
0.3272826664451653,
0.32630411177666463,
0.3253324751943875,
0.3243674640487063,
0.32340883204062837,
0.32245636742782763,
0.32150988507949846,
0.320569220897644,
0.31963422776659867,
0.31870477252968366,
0.3177807336794705,
0.3168619995579014,
0.31594846692952133,
0.31504003983347806,
0.31413662864761505,
0.31323814931653576,
0.31234452270825497,
0.3114556740729803,
0.31057153258394904,
0.30969203094487885,
0.3088171050520108,
0.30794669370128047,
0.3070807383330906,
0.3062191828086434,
0.3053619732129406,
0.3045090576804572,
0.30366038624020786,
0.3028159106774881,
0.30197558441002453,
0.301139362376638,
0.3003072009368191,
0.2994790577798618,
0.29865489184239835,
0.2978346632333524,
0.29701833316545667,
0.2962058638926085,
0.29539721865242385,
0.2945923616134432,
0.29379125782650434,
0.292993873179862,
0.29220017435768636,
0.2914101288016101,
0.29062370467503984,
0.28984087082997484,
0.2890615967761059,
0.2882858468173719,
0.28751359762451434,
0.2867448205120304,
0.2859794873477265,
0.2852175705305735,
0.2844590429699061,
0.28370387806586206,
0.2829520496909642,
0.2822035321727594,
0.2814583002774346,
0.2807163291943383,
0.279977594521343,
0.27924207225098835,
0.27850973875735063,
0.27778057078358853,
0.2770545454301196,
0.2763316401433861,
0.2756118327051713,
0.27489510122242977,
0.2741814241176011,
0.2734707801193751,
0.272763148253881,
0.2720585078362764,
0.2713568384627096,
0.2706581200026351,
0.26996233259146185,
0.26926945662351326,
0.268579472745284,
0.26789236184897447,
0.26720810506629017,
0.2665266837624889,
0.26584807953066536,
0.26517227418625783,
0.26449924976176725,
0.26382898850167724,
0.26316147285756464,
0.2624966854833908,
0.2618346092309651,
0.2611752271455722,
0.26051852246175466,
0.2598644785992439,
0.2592130791590325,
0.25856430791958074,
0.2579181488331516,
0.2572745860222686,
0.2566336037762896,
0.2559951865480936,
0.25535931895087377,
0.2547259857550315,
0.2540951718851703,
0.2534668624171811,
0.2528410425754185,
0.252217697729962,
0.25159681339396006,
0.25097837522105226,
0.2503623690028683,
0.24974878066659797,
0.24913759627263282,
0.2485288020122728,
0.24792238420549886,
0.24731832929880693,
0.2467166238631006,
0.24611725459164266,
0.24552020829806026,
0.2449254719144045,
0.2443330324892595,
0.2437428771859026,
0.2431549932805107,
0.24256936816041297,
0.24198598932238735,
0.24140484437100035,
0.24082592101698744,
0.2402492070756731,
0.23967469046542944,
0.23910235920617243,
0.23853220141789286,
0.2379642053192226,
0.23739835922603472,
0.23683465155007485,
0.23627307079762527,
0.23571360556819843,
0.23515624455325998,
0.23460097653498072,
0.23404779038501553,
0.23349667506330962,
0.2329476196169301,
0.2324006131789227,
0.23185564496719357,
0.2313127042834138,
0.23077178051194736,
0.2302328631188008,
0.22969594165059534,
0.22916100573355935,
0.2286280450725409,
0.22809704945004075,
0.22756800872526428,
0.2270409128331921,
0.2265157517836685,
0.22599251566050807,
0.22547119462061951,
0.224951778893145,
0.22443425877861772,
0.22391862464813345,
0.22340486694253833,
0.22289297617163195,
0.22238294291338398,
0.22187475781316596,
0.2213684115829965,
0.22086389500080014,
0.220361198909679,
0.21986031421719768,
0.21936123189468038,
0.21886394297652037,
0.21836843855950086,
0.2178747098021285,
0.21738274792397644,
0.2168925442050406,
0.2164040899851046,
0.2159173766631169,
0.21543239569657657,
0.21494913860093098,
0.2144675969489813,
0.21398776237029904,
0.21350962655065084,
0.2130331812314335,
0.21255841820911656,
0.21208532933469487,
0.211613906513149,
0.21114414170291376,
0.21067602691535534,
0.2102095542142568,
0.20974471571530962,
0.20928150358561484,
0.2088199100431908,
0.2083599273564878,
0.20790154784391054,
0.20744476387334723,
0.2069895678617055,
0.20653595227445515,
0.2060839096251775,
0.20563343247512078,
0.2051845134327621,
0.2047371451533759,
0.20429132033860747,
0.20384703173605367,
0.203404272138848,
0.20296303438525282,
0.20252331135825577,
0.20208509598517294,
0.2016483812372561,
0.20121313287003195,
0.20077937145377456,
0.20034709008690854,
0.19991628191030497,
0.19948694010691267,
0.19905905790139683,
0.19863262855978042,
0.19820764538909125,
0.19778410173701327,
0.19736199099154184,
0.1969413065806438,
0.19652204197192236,
0.19610419067228463,
0.19568774622761503,
0.1952727022224513,
0.19485905227966546,
0.19444679006014826,
0.1940359092624972,
0.19362640362270891,
0.19321826691387517,
0.19281149294588162,
0.1924060755651113,
0.19200200865415118,
0.19159928613150157,
0.19119790195129022,
0.19079785010298855,
0.19039912461113143,
0.19000171953504094,
0.18960562896855235,
0.18921084703974356,
0.18881736791066778,
0.1884251857770893,
0.18803429486822157,
0.18764468944646898,
0.18725636380717126,
0.18686931227835032,
0.18648352922046052,
0.18609900902614135,
0.1857157461199723,
0.18533373495823185,
0.18495297002865724,
0.1845734458502082,
0.18419515697283262,
0.18381809797723478,
0.18344226347464593,
0.18306764810659784,
0.18269424654469787,
0.18232205349040717,
0.18195106367482064,
0.1815812718584498,
0.18121267283100667,
0.18084526141119198,
0.18047903244648292,
0.18011398081292548,
0.17975010141492703,
0.1793873891850524,
0.17902583908382094,
0.1786654460995063,
0.17830620524793808,
0.1779481115723049,
0.17759116014296045,
0.1772353460572304,
0.1768806644392219,
0.17652711043963465,
0.17617467923557378,
0.17582336603036472,
0.17547316605336988,
0.1751240745598067,
0.17477608683056786,
0.1744291981720432,
0.17408340391594285,
0.17373869941912282,
0.1733950800634113,
0.17305254125543768,
0.17271107842646177,
0.17237068703220623,
0.17203136255268925,
0.17169310049205921,
0.17135589637843138,
0.17101974576372514,
0.17068464422350357,
0.1703505873568138,
0.1700175707860295,
0.16968559015669424,
0.16935464113736645,
0.1690247194194658,
0.16869582071712094,
0.1683679407670188,
0.16804107532825455,
0.1677152201821837,
0.1673903711322754,
0.16706652400396615,
0.166743674644516,
0.16642181892286503,
0.16610095272949196,
0.16578107197627318,
0.1654621725963432,
0.16514425054395696,
0.16482730179435232,
0.1645113223436145,
0.16419630820854123,
0.1638822554265092,
0.16356916005534175,
0.16325701817317756,
0.16294582587834033,
0.16263557928920983,
0.16232627454409387,
0.16201790780110123,
0.16171047523801596,
0.16140397305217224,
0.16109839746033103,
0.16079374469855673,
0.16049001102209576,
0.16018719270525572,
0.15988528604128543,
0.1595842873422563,
0.15928419293894436,
0.15898499918071338,
0.1586867024353989,
0.1583892990891932,
0.15809278554653117,
0.15779715822997714,
0.1575024135801127,
0.1572085480554251,
0.15691555813219682,
0.15662344030439604,
0.1563321910835677,
0.1560418069987256,
0.1557522845962455,
0.15546362043975884,
0.15517581111004705,
0.15488885320493742,
0.1546027433391989,
0.15431747814443955,
0.15403305426900393,
0.15374946837787198,
0.15346671715255858,
0.1531847972910133,
0.1529037055075216,
0.15262343853260643,
0.1523439931129306,
0.15206536601120021,
0.15178755400606825,
0.15151055389203927,
0.15123436247937497,
0.15095897659400004,
0.15068439307740877,
0.15041060878657303,
0.1501376205938498,
0.14986542538689054,
0.14959402006855013,
0.14932340155679774,
0.1490535667846269,
0.14878451269996756,
0.1485162362655982,
0.14824873445905817,
0.14798200427256172,
0.14771604271291153,
0.1474508468014136,
0.1471864135737927,
0.14692274008010814,
0.14665982338467035,
0.14639766056595774,
0.1461362487165349,
0.14587558494297062,
0.14561566636575674,
0.14535649011922774,
0.14509805335148088,
0.14484035322429653,
0.14458338691305977,
0.14432715160668175,
0.14407164450752233,
0.14381686283131237,
0.14356280380707787,
0.14330946467706343,
0.1430568426966567,
0.14280493513431364,
0.14255373927148374,
0.14230325240253622,
0.1420534718346866,
0.14180439488792362,
0.1415560188949369,
0.14130834120104516,
0.14106135916412438,
0.1408150701545373,
0.14056947155506241,
0.1403245607608249,
0.140080335179226,
0.1398367922298749,
0.13959392934451972,
0.13935174396697947,
0.13911023355307653,
0.1388693955705697,
0.13862922749908688,
0.1383897268300595,
0.1381508910666562,
0.13791271772371774,
0.13767520432769212,
0.1374383484165696,
0.1372021475398194,
0.13696659925832547,
0.13673170114432345,
0.13649745078133801,
0.13626384576412032,
0.13603088369858618,
0.13579856220175449,
0.13556687890168598,
0.13533583143742264,
0.13510541745892735,
0.13487563462702382,
0.13464648061333717,
0.1344179531002348,
0.13419004978076746,
0.13396276835861104,
0.13373610654800847,
0.13351006207371213,
0.13328463267092663,
0.13305981608525186,
0.13283561007262662,
0.13261201239927217,
0.1323890208416369,
0.1321666331863405,
0.1319448472301191,
0.1317236607797706,
0.13150307165210012,
0.13128307767386627,
0.13106367668172708,
0.13084486652218713,
0.1306266450515442,
0.13040901013583692,
0.13019195965079222,
0.12997549148177348,
0.12975960352372892,
0.12954429368114012,
0.12932955986797115,
0.12911540000761795,
0.12890181203285772,
0.1286887938857992,
0.12847634351783271,
0.12826445888958088,
0.12805313797084944,
0.1278423787405785,
0.12763217918679406,
0.12742253730655972,
0.127213451105929,
0.1270049185998975,
0.12679693781235576,
0.12658950677604225,
0.12638262353249669,
0.1261762861320134,
0.1259704926335955,
0.1257652411049089,
0.1255605296222366,
0.12535635627043368,
0.1251527191428821,
0.12494961634144601,
0.12474704597642727,
0.12454500616652142,
0.12434349503877352,
0.12414251072853469,
0.12394205137941856,
0.12374211514325838,
0.12354270018006396,
0.12334380465797916,
0.12314542675323963,
0.12294756465013051,
0.12275021654094491,
0.12255338062594194,
0.12235705511330587,
0.1221612382191046,
0.12196592816724912,
0.12177112318945288,
0.12157682152519134,
0.12138302142166199,
0.12118972113374452,
0.12099691892396103,
0.12080461306243682,
0.12061280182686121,
0.12042148350244865,
0.12023065638189982,
0.12004031876536356,
0.11985046896039829,
0.11966110528193426,
0.11947222605223569,
0.11928382960086324,
0.1190959142646366,
0.11890847838759755,
0.11872152032097288,
0.11853503842313796,
0.11834903105958001,
0.11816349660286217,
0.11797843343258718,
0.11779383993536177,
0.11760971450476099,
0.11742605554129282,
0.11724286145236287,
0.11706013065223975,
0.11687786156201978,
0.1166960526095928,
0.11651470222960768,
0.11633380886343815,
0.11615337095914872,
0.11597338697146117,
0.11579385536172067,
0.11561477459786249,
0.11543614315437897,
0.11525795951228625,
0.11508022215909165,
0.11490292958876093,
0.1147260803016859,
0.1145496728046523,
0.11437370561080745,
0.11419817723962856,
0.11402308621689115,
0.11384843107463723,
0.11367421035114411,
0.11350042259089338,
0.11332706634453973,
0.1131541401688803,
0.11298164262682388,
0.11280957228736067,
0.11263792772553184,
0.11246670752239951,
0.11229591026501672,
0.11212553454639783,
0.11195557896548873,
0.11178604212713766,
0.11161692264206562,
0.11144821912683758,
0.11127993020383337,
0.11111205450121896,
0.11094459065291794,
0.11077753729858288,
0.11061089308356721,
0.11044465665889709,
0.11027882668124325,
0.11011340181289353,
0.10994838072172486,
0.10978376208117596,
0.10961954457022005,
0.1094557268733374,
0.1092923076804886,
0.1091292856870874,
0.1089666595939742,
0.10880442810738924,
0.10864258993894628,
0.10848114380560646,
0.10832008842965181,
0.10815942253865941,
0.10799914486547556,
0.1078392541481901,
0.10767974913011079,
0.10752062855973775,
0.10736189119073833,
0.107203535781922,
0.10704556109721507,
0.10688796590563611,
0.10673074898127098,
0.10657390910324857,
0.1064174450557158,
0.10626135562781377,
0.1061056396136534,
0.10595029581229116,
0.10579532302770556,
0.10564072006877288,
0.10548648574924395,
0.1053326188877201,
0.1051791183076302,
0.10502598283720734,
0.1048732113094651,
0.10472080256217543,
0.10456875543784498,
0.10441706878369268,
0.10426574145162688,
0.10411477229822312,
0.10396416018470149,
0.10381390397690417,
0.10366400254527362,
0.10351445476483051,
0.10336525951515146,
0.10321641568034746,
0.10306792214904219,
0.10291977781435033,
0.1027719815738562,
0.10262453232959244,
0.10247742898801854,
0.10233067046000008,
0.10218425566078737,
0.10203818350999493,
0.10189245293158045,
0.10174706285382414,
0.10160201220930827,
0.10145729993489674,
0.1013129249717147,
0.10116888626512825,
0.10102518276472434,
0.10088181342429108,
0.10073877720179727,
0.10059607305937308,
0.10045369996329015,
0.10031165688394207,
0.10016994279582478,
0.10002855667751742,
0.09988749751166277,
0.09974676428494844,
0.09960635598808734,
0.09946627161579917,
0.09932651016679114,
0.09918707064373963,
0.09904795205327116,
0.09890915340594404,
0.0987706737162297,
0.09863251200249458,
0.09849466728698159,
0.0983571385957921,
0.0982199249588678,
0.09808302540997284,
0.09794643898667557,
0.09781016473033116,
0.09767420168606372,
0.09753854890274868,
0.09740320543299522,
0.09726817033312894,
0.09713344266317446,
0.09699902148683832,
0.09686490587149157,
0.09673109488815296,
0.09659758761147166,
0.09646438311971084,
0.09633148049473034,
0.09619887882197042,
0.0960665771904348,
0.0959345746926743,
0.09580287042477041,
0.09567146348631875,
0.09554035298041297,
0.09540953801362846,
0.09527901769600643,
0.09514879114103744,
0.09501885746564602,
0.09488921579017438,
0.09475986523836691,
0.09463080493735415,
0.09450203401763765,
0.09437355161307406,
0.09424535686085976,
0.0941174489015156,
0.09398982687887149,
0.09386248994005128,
0.09373543723545752,
0.09360866791875647,
0.09348218114686307,
0.09335597607992621,
0.09323005188131359,
0.09310440771759729,
0.09297904275853895,
0.09285395617707512,
0.09272914714930285,
0.09260461485446517,
0.09248035847493676,
0.09235637719620964,
0.09223267020687886,
0.09210923669862864,
0.09198607586621776,
0.09186318690746612,
0.09174056902324046,
0.09161822141744057,
0.09149614329698559,
0.09137433387180001,
0.09125279235480051,
0.0911315179618818,
0.09101050991190364,
0.09088976742667687,
0.09076928973095057,
0.09064907605239823,
0.09052912562160503,
0.0904094376720542,
0.09029001144011417,
0.09017084616502546,
0.09005194108888785,
0.08993329545664716,
0.08981490851608266,
0.08969677951779431,
0.08957890771518974,
0.08946129236447206,
0.08934393272462697,
0.08922682805741024,
0.08910997762733544,
0.08899338070166131,
0.08887703655037958,
0.08876094444620274,
0.08864510366455165,
0.08852951348354361,
0.08841417318398011,
0.08829908204933494,
0.0881842393657421,
0.08806964442198387,
0.08795529650947925,
0.08784119492227187,
0.08772733895701831,
0.08761372791297672,
0.0875003610919947,
0.08738723779849832,
0.08727435733948015,
0.08716171902448819,
0.08704932216561426,
0.08693716607748278,
0.08682525007723953,
0.08671357348454033,
0.08660213562154,
0.08649093581288132,
0.08637997338568379,
0.0862692476695328,
0.08615875799646872,
0.08604850370097587,
0.08593848411997194,
0.08582869859279703,
0.08571914646120297,
0.08560982706934263,
0.08550073976375965,
0.08539188389337728,
0.08528325880948835,
0.08517486386574484,
0.08506669841814704,
0.08495876182503376,
0.08485105344707158,
0.08474357264724494,
0.08463631879084571,
0.0845292912454633,
0.08442248938097424,
0.08431591256953248,
0.08420956018555913,
0.08410343160573266,
0.08399752620897902,
0.0838918433764617,
0.08378638249157205,
0.08368114293991948,
0.08357612410932169,
0.08347132538979514,
0.08336674617354536,
0.08326238585495746,
0.08315824383058662,
0.08305431949914849,
0.08295061226151,
0.0828471215206799,
0.08274384668179918,
0.08264078715213236,
0.08253794234105777,
0.08243531166005845,
0.08233289452271321,
0.08223069034468732,
0.08212869854372358,
0.08202691853963327,
0.08192534975428724,
0.08182399161160687,
0.08172284353755528,
0.08162190496012858,
0.08152117530934684,
0.08142065401724569,
0.08132034051786718,
0.08122023424725161,
0.08112033464342851,
0.08102064114640821,
0.08092115319817342,
0.08082187024267054,
0.08072279172580131,
0.08062391709541444,
0.08052524580129712,
0.08042677729516684,
0.0803285110306629,
0.08023044646333839,
0.08013258305065189,
0.08003492025195917,
0.07993745752850533,
0.07984019434341641,
0.07974313016169168,
0.07964626445019522,
0.07954959667764834,
0.07945312631462143,
0.079356852833526,
0.07926077570860716,
0.07916489441593534,
0.07906920843339894,
0.0789737172406963,
0.07887842031932803,
0.07878331715258959,
0.0786884072255632,
0.07859369002511075,
0.07849916503986581,
0.0784048317602265,
0.07831068967834762,
0.07821673828813357,
0.0781229770852306,
0.07802940556701965,
0.07793602323260893,
0.07784282958282662,
0.07774982412021364,
0.07765700634901634,
0.07756437577517936,
0.07747193190633836,
0.07737967425181315,
0.07728760232260022,
0.07719571563136587,
0.07710401369243929,
0.07701249602180532,
0.07692116213709768,
0.07683001155759196,
0.07673904380419865,
0.07664825839945644,
0.07655765486752526,
0.07646723273417959,
0.07637699152680145,
0.07628693077437407,
0.07619705000747479,
0.07610734875826856,
0.07601782656050139,
0.07592848294949373,
0.07583931746213349,
0.07575032963687013,
0.07566151901370768,
0.07557288513419849,
0.07548442754143668,
0.07539614578005174,
0.07530803939620216,
0.07522010793756904,
0.07513235095334977,
0.07504476799425171,
0.074957358612486,
0.07487012236176117,
0.07478305879727716,
0.07469616747571886,
0.07460944795525025,
0.07452289979550795,
0.07443652255759545,
0.07435031580407687,
0.07426427909897085,
0.07417841200774479,
0.07409271409730865,
0.07400718493600902,
0.07392182409362336,
0.0738366311413539,
0.07375160565182194,
0.07366674719906192,
0.07358205535851557,
0.07349752970702628,
0.07341316982283311,
0.07332897528556538,
0.07324494567623649,
0.07316108057723886,
0.07307737957233766,
0.07299384224666577,
0.07291046818671762,
0.07282725698034398,
0.07274420821674643,
0.07266132148647161,
0.07257859638140589,
0.07249603249476987,
0.07241362942111289,
0.07233138675630772,
0.0722493040975451,
0.07216738104332834,
0.07208561719346804,
0.07200401214907669,
0.0719225655125636,
0.07184127688762938,
0.07176014587926073,
0.07167917209372533,
0.07159835513856674,
0.07151769462259888,
0.07143719015590122,
0.0713568413498136,
0.07127664781693097,
0.07119660917109834,
0.07111672502740608,
0.07103699500218445,
0.07095741871299872,
0.07087799577864434,
0.0707987258191419,
0.0707196084557321,
0.0706406433108711,
0.07056183000822513,
0.07048316817266627,
0.0704046574302672,
0.07032629740829646,
0.07024808773521357,
0.07017002804066448,
0.07009211795547657,
0.07001435711165417,
0.06993674514237357,
0.0698592816819786,
0.06978196636597572,
0.0697047988310296,
0.06962777871495834,
0.06955090565672888,
0.06947417929645253,
0.06939759927538033,
0.06932116523589849,
0.06924487682152387,
0.06916873367689967,
0.06909273544779061,
0.06901688178107881,
0.06894117232475919,
0.06886560672793499,
0.06879018464081346,
0.06871490571470162,
0.0686397696020017,
0.06856477595620682,
0.06848992443189687,
0.06841521468473397,
0.06834064637145838,
0.06826621914988402,
0.06819193267889463,
0.06811778661843913,
0.06804378062952764,
0.06796991437422731,
0.06789618751565803,
0.06782259971798846,
0.06774915064643183,
0.06767583996724182,
0.06760266734770834,
0.06752963245615387,
0.06745673496192901,
0.0673839745354087,
0.06731135084798796,
0.06723886357207817,
0.06716651238110292,
0.0670942969494942,
0.0670222169526883,
0.06695027206712195,
0.06687846197022852,
0.06680678634043401,
0.0667352448571532,
0.0666638372007859,
0.06659256305271304,
0.06652142209529277,
0.06645041401185688,
0.0663795384867068,
0.06630879520511003,
0.06623818385329629,
0.06616770411845371,
0.06609735568872538,
0.06602713825320537,
0.06595705150193519,
0.0658870951259001,
0.06581726881702564,
0.06574757226817358,
0.0656780051731388,
0.06560856722664535,
0.06553925812434296,
0.0654700775628036,
0.06540102523951778,
0.06533210085289108,
0.06526330410224065,
0.06519463468779169,
0.06512609231067391,
0.06505767667291822,
0.06498938747745307,
0.06492122442810122,
0.06485318722957616,
0.06478527558747885,
0.06471748920829411,
0.06464982779938748,
0.06458229106900171,
0.06451487872625349,
0.0644475904811301,
0.06438042604448606,
0.06431338512803987,
0.06424646744437072,
0.06417967270691523,
0.06411300062996415,
0.0640464509286591,
0.06398002331898948,
0.06391371751778908,
0.06384753324273303,
0.06378147021233449,
0.06371552814594156,
0.06364970676373415,
0.06358400578672069,
0.06351842493673515,
0.063452963936434,
0.06338762250929277,
0.06332240037960335,
0.0632572972724707,
0.0631923129138098,
0.0631274470303427,
0.0630626993495954,
0.06299806959989487,
0.06293355751036607,
0.06286916281092887,
0.06280488523229519,
0.06274072450596595,
0.06267668036422806,
0.06261275254015176,
0.06254894076758724,
0.06248524478116221,
0.06242166431627863,
0.062358199109110064,
0.06229484889659861,
0.06223161341645217,
0.0621684924071416
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Freq. 2"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Component of frequency=2, relative to amplitude of constant bias (log scale in y-axis)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
1000
],
"title": {
"text": "Time (groups of 10 units)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-1.2469467980533255,
-0.43660412085999595
],
"title": {
"text": "ratio"
},
"type": "log"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=2, relative to amplitude of constant bias (log scale in y-axis)\",\n",
" color_discrete_sequence = ['purple'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 2\", \"index\":\"Time (groups of 10 units)\"},\n",
" log_y=True)\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "6a3962c1-8f75-462b-95a9-d7f3d48688e9",
"metadata": {},
"outputs": [],
"source": [
"saved_freq_2_df = bio.get_history().copy(deep=True) # Save the whole dataframe, for later use"
]
},
{
"cell_type": "markdown",
"id": "3bb28b31-6f7d-4a88-b212-380ed9ba3223",
"metadata": {},
"source": [
"# Start a NEW system\n",
"#### Everything same as before EXCEPT the frequency is now 5 times bigger (10 cycles over the length of the system)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "28898026-1a90-47e3-889a-ca63c672d6fa",
"metadata": {},
"outputs": [],
"source": [
"bio = BioSim1D(n_bins=500, chem_data=chem_data)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "65fc0320-6173-40ec-937d-434d46020fb1",
"metadata": {},
"outputs": [],
"source": [
"bio.inject_sine_conc(species_name=\"A\", amplitude=10, bias=30, frequency=10) # x5 higher frequency than before"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "0eec5d4f-1166-4da0-bdeb-11a01c227b62",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
30,
31.253332335643044,
32.48689887164855,
33.68124552684678,
34.81753674101715,
35.877852522924734,
36.845471059286886,
37.70513242775789,
38.44327925502015,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.510565162951536,
39.0482705246602,
38.44327925502015,
37.70513242775789,
36.845471059286886,
35.877852522924734,
34.81753674101715,
33.68124552684678,
32.48689887164855,
31.25333233564304,
29.999999999999996,
28.746667664356956,
27.51310112835145,
26.318754473153216,
25.182463258982846,
24.122147477075266,
23.154528940713114,
22.294867572242104,
21.55672074497985,
20.951729475339803,
20.489434837048464,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.489434837048464,
20.951729475339803,
21.55672074497985,
22.29486757224211,
23.154528940713117,
24.122147477075274,
25.182463258982846,
26.31875447315322,
27.513101128351455,
28.746667664356963,
30.000000000000007,
31.25333233564304,
32.48689887164855,
33.68124552684678,
34.81753674101716,
35.877852522924734,
36.84547105928689,
37.70513242775789,
38.44327925502015,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.510565162951536,
39.0482705246602,
38.44327925502015,
37.70513242775789,
36.845471059286886,
35.877852522924734,
34.81753674101715,
33.68124552684678,
32.486898871648535,
31.253332335643037,
30.000000000000004,
28.746667664356952,
27.51310112835145,
26.318754473153213,
25.182463258982843,
24.122147477075274,
23.154528940713107,
22.294867572242108,
21.55672074497984,
20.951729475339803,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.019732715717286,
20.17712749271311,
20.489434837048467,
20.951729475339807,
21.55672074497985,
22.294867572242115,
23.154528940713114,
24.12214747707528,
25.182463258982853,
26.31875447315322,
27.51310112835146,
28.74666766435696,
30.000000000000014,
31.253332335643048,
32.48689887164855,
33.68124552684679,
34.81753674101715,
35.87785252292474,
36.84547105928689,
37.70513242775789,
38.44327925502016,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.510565162951536,
39.0482705246602,
38.443279255020144,
37.70513242775789,
36.845471059286886,
35.87785252292472,
34.81753674101715,
33.681245526846766,
32.48689887164854,
31.25333233564304,
29.99999999999999,
28.746667664356952,
27.513101128351437,
26.318754473153213,
25.182463258982846,
24.122147477075274,
23.1545289407131,
22.294867572242097,
21.556720744979845,
20.951729475339803,
20.489434837048464,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.489434837048464,
20.951729475339814,
21.556720744979856,
22.29486757224211,
23.154528940713114,
24.122147477075263,
25.182463258982864,
26.318754473153234,
27.513101128351458,
28.746667664356956,
29.999999999999993,
31.253332335643062,
32.48689887164856,
33.68124552684679,
34.81753674101715,
35.87785252292473,
36.8454710592869,
37.7051324277579,
38.44327925502016,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.51056516295153,
39.04827052466018,
38.443279255020144,
37.70513242775789,
36.845471059286886,
35.87785252292471,
34.817536741017136,
33.681245526846766,
32.48689887164854,
31.253332335643044,
29.99999999999997,
28.746667664356938,
27.51310112835144,
26.318754473153216,
25.18246325898285,
24.12214747707525,
23.1545289407131,
22.2948675722421,
21.556720744979845,
20.951729475339803,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.48943483704847,
20.951729475339814,
21.556720744979856,
22.29486757224211,
23.154528940713114,
24.122147477075288,
25.182463258982864,
26.31875447315323,
27.513101128351458,
28.746667664356956,
30.000000000000025,
31.253332335643062,
32.486898871648556,
33.68124552684678,
34.81753674101715,
35.877852522924755,
36.8454710592869,
37.7051324277579,
38.44327925502015,
39.0482705246602,
39.51056516295154,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.70513242775789,
36.84547105928689,
35.87785252292471,
34.817536741017136,
33.68124552684677,
32.48689887164854,
31.253332335643012,
29.999999999999975,
28.74666766435694,
27.513101128351444,
26.318754473153216,
25.18246325898282,
24.12214747707525,
23.1545289407131,
22.2948675722421,
21.55672074497985,
20.95172947533979,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271312,
20.48943483704847,
20.95172947533981,
21.556720744979856,
22.294867572242108,
23.154528940713135,
24.122147477075288,
25.182463258982864,
26.31875447315323,
27.513101128351455,
28.746667664356988,
30.000000000000025,
31.25333233564306,
32.486898871648556,
33.68124552684678,
34.81753674101718,
35.87785252292475,
36.8454710592869,
37.705132427757896,
38.44327925502015,
39.0482705246602,
39.510565162951536,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.70513242775789,
36.84547105928689,
35.87785252292474,
34.81753674101711,
33.68124552684674,
32.48689887164851,
31.253332335643012,
29.99999999999998,
28.74666766435694,
27.513101128351444,
26.31875447315322,
25.182463258982853,
24.12214747707528,
23.154528940713078,
22.294867572242083,
21.55672074497983,
20.951729475339793,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.48943483704846,
20.951729475339825,
21.55672074497987,
22.29486757224213,
23.154528940713135,
24.122147477075288,
25.18246325898286,
26.318754473153227,
27.51310112835145,
28.74666766435695,
29.999999999999986,
31.25333233564309,
32.48689887164859,
33.68124552684681,
34.81753674101718,
35.87785252292475,
36.84547105928689,
37.705132427757896,
38.44327925502015,
39.0482705246602,
39.51056516295153,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.705132427757896,
36.84547105928689,
35.87785252292474,
34.81753674101711,
33.681245526846745,
32.48689887164851,
31.253332335643016,
29.99999999999998,
28.746667664356945,
27.513101128351447,
26.31875447315322,
25.182463258982857,
24.122147477075224,
23.154528940713078,
22.294867572242083,
21.55672074497983,
20.951729475339793,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.48943483704848,
20.951729475339825,
21.55672074497987,
22.29486757224213,
23.154528940713135,
24.122147477075284,
25.182463258982857,
26.318754473153223,
27.51310112835145,
28.74666766435695,
30.000000000000053,
31.25333233564309,
32.486898871648584,
33.68124552684681,
34.81753674101718,
35.87785252292475,
36.84547105928689,
37.705132427757896,
38.443279255020144,
39.04827052466019,
39.51056516295155,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.705132427757896,
36.84547105928689,
35.87785252292469,
34.817536741017115,
33.681245526846745,
32.48689887164852,
31.25333233564302,
29.999999999999982,
28.74666766435695,
27.51310112835145,
26.318754473153223,
25.182463258982857,
24.122147477075227,
23.15452894071308,
22.294867572242083,
21.556720744979835,
20.951729475339796,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.177127492713126,
20.489434837048478,
20.951729475339825,
21.55672074497987,
22.294867572242126,
23.15452894071313,
24.12214747707528,
25.182463258982857,
26.31875447315322,
27.513101128351447,
28.746667664357016,
30.00000000000005,
31.253332335643087,
32.486898871648584,
33.68124552684681,
34.81753674101717,
35.87785252292474,
36.84547105928689,
37.705132427757896,
38.443279255020144,
39.04827052466022,
39.51056516295155,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.0482705246602,
38.44327925502015,
37.705132427757896,
36.845471059286844,
35.87785252292469,
34.817536741017115,
33.681245526846745,
32.48689887164852,
31.25333233564302,
29.999999999999986,
28.74666766435695,
27.51310112835145,
26.318754473153227,
25.182463258982796,
24.12214747707523,
23.15452894071308,
22.294867572242083,
21.556720744979835,
20.951729475339796,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.177127492713126,
20.489434837048478,
20.951729475339825,
21.55672074497987,
22.294867572242126,
23.154528940713128,
24.12214747707528,
25.182463258982853,
26.31875447315322,
27.513101128351515,
28.746667664357012,
30.00000000000005,
31.253332335643083,
32.486898871648584,
33.68124552684681,
34.81753674101717,
35.87785252292474,
36.84547105928689,
37.70513242775789,
38.44327925502019,
39.04827052466022,
39.51056516295155,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.510565162951536,
39.0482705246602,
38.44327925502015,
37.70513242775785,
36.845471059286844,
35.87785252292469,
34.817536741017115,
33.68124552684675,
32.48689887164852,
31.253332335643023,
29.99999999999999,
28.746667664356952,
27.513101128351455,
26.318754473153163,
25.1824632589828,
24.12214747707523,
23.154528940713085,
22.294867572242087,
21.556720744979835,
20.951729475339796,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.01973271571729,
20.177127492713126,
20.489434837048478,
20.95172947533982,
21.556720744979867,
22.294867572242126,
23.154528940713128,
24.122147477075277,
25.18246325898285,
26.318754473153216,
27.51310112835151,
28.746667664357012
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Initial System State"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
18.910814128574756,
41.089185871425244
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= \"Initial System State\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "496af436-620c-4e29-a132-a29b1bf41e21",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"coloraxis": "coloraxis",
"hovertemplate": "Bin number: %{x}
Chem. species: %{y}
Concentration: %{z}",
"name": "0",
"type": "heatmap",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"xgap": 0,
"y": [
"A"
],
"yaxis": "y",
"ygap": 0,
"z": [
[
30,
31.253332335643044,
32.48689887164855,
33.68124552684678,
34.81753674101715,
35.877852522924734,
36.845471059286886,
37.70513242775789,
38.44327925502015,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.510565162951536,
39.0482705246602,
38.44327925502015,
37.70513242775789,
36.845471059286886,
35.877852522924734,
34.81753674101715,
33.68124552684678,
32.48689887164855,
31.25333233564304,
29.999999999999996,
28.746667664356956,
27.51310112835145,
26.318754473153216,
25.182463258982846,
24.122147477075266,
23.154528940713114,
22.294867572242104,
21.55672074497985,
20.951729475339803,
20.489434837048464,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.489434837048464,
20.951729475339803,
21.55672074497985,
22.29486757224211,
23.154528940713117,
24.122147477075274,
25.182463258982846,
26.31875447315322,
27.513101128351455,
28.746667664356963,
30.000000000000007,
31.25333233564304,
32.48689887164855,
33.68124552684678,
34.81753674101716,
35.877852522924734,
36.84547105928689,
37.70513242775789,
38.44327925502015,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.510565162951536,
39.0482705246602,
38.44327925502015,
37.70513242775789,
36.845471059286886,
35.877852522924734,
34.81753674101715,
33.68124552684678,
32.486898871648535,
31.253332335643037,
30.000000000000004,
28.746667664356952,
27.51310112835145,
26.318754473153213,
25.182463258982843,
24.122147477075274,
23.154528940713107,
22.294867572242108,
21.55672074497984,
20.951729475339803,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.019732715717286,
20.17712749271311,
20.489434837048467,
20.951729475339807,
21.55672074497985,
22.294867572242115,
23.154528940713114,
24.12214747707528,
25.182463258982853,
26.31875447315322,
27.51310112835146,
28.74666766435696,
30.000000000000014,
31.253332335643048,
32.48689887164855,
33.68124552684679,
34.81753674101715,
35.87785252292474,
36.84547105928689,
37.70513242775789,
38.44327925502016,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.510565162951536,
39.0482705246602,
38.443279255020144,
37.70513242775789,
36.845471059286886,
35.87785252292472,
34.81753674101715,
33.681245526846766,
32.48689887164854,
31.25333233564304,
29.99999999999999,
28.746667664356952,
27.513101128351437,
26.318754473153213,
25.182463258982846,
24.122147477075274,
23.1545289407131,
22.294867572242097,
21.556720744979845,
20.951729475339803,
20.489434837048464,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.489434837048464,
20.951729475339814,
21.556720744979856,
22.29486757224211,
23.154528940713114,
24.122147477075263,
25.182463258982864,
26.318754473153234,
27.513101128351458,
28.746667664356956,
29.999999999999993,
31.253332335643062,
32.48689887164856,
33.68124552684679,
34.81753674101715,
35.87785252292473,
36.8454710592869,
37.7051324277579,
38.44327925502016,
39.0482705246602,
39.510565162951536,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.51056516295153,
39.04827052466018,
38.443279255020144,
37.70513242775789,
36.845471059286886,
35.87785252292471,
34.817536741017136,
33.681245526846766,
32.48689887164854,
31.253332335643044,
29.99999999999997,
28.746667664356938,
27.51310112835144,
26.318754473153216,
25.18246325898285,
24.12214747707525,
23.1545289407131,
22.2948675722421,
21.556720744979845,
20.951729475339803,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.48943483704847,
20.951729475339814,
21.556720744979856,
22.29486757224211,
23.154528940713114,
24.122147477075288,
25.182463258982864,
26.31875447315323,
27.513101128351458,
28.746667664356956,
30.000000000000025,
31.253332335643062,
32.486898871648556,
33.68124552684678,
34.81753674101715,
35.877852522924755,
36.8454710592869,
37.7051324277579,
38.44327925502015,
39.0482705246602,
39.51056516295154,
39.82287250728689,
39.98026728428272,
39.98026728428272,
39.82287250728689,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.70513242775789,
36.84547105928689,
35.87785252292471,
34.817536741017136,
33.68124552684677,
32.48689887164854,
31.253332335643012,
29.999999999999975,
28.74666766435694,
27.513101128351444,
26.318754473153216,
25.18246325898282,
24.12214747707525,
23.1545289407131,
22.2948675722421,
21.55672074497985,
20.95172947533979,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271312,
20.48943483704847,
20.95172947533981,
21.556720744979856,
22.294867572242108,
23.154528940713135,
24.122147477075288,
25.182463258982864,
26.31875447315323,
27.513101128351455,
28.746667664356988,
30.000000000000025,
31.25333233564306,
32.486898871648556,
33.68124552684678,
34.81753674101718,
35.87785252292475,
36.8454710592869,
37.705132427757896,
38.44327925502015,
39.0482705246602,
39.510565162951536,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.70513242775789,
36.84547105928689,
35.87785252292474,
34.81753674101711,
33.68124552684674,
32.48689887164851,
31.253332335643012,
29.99999999999998,
28.74666766435694,
27.513101128351444,
26.31875447315322,
25.182463258982853,
24.12214747707528,
23.154528940713078,
22.294867572242083,
21.55672074497983,
20.951729475339793,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.48943483704846,
20.951729475339825,
21.55672074497987,
22.29486757224213,
23.154528940713135,
24.122147477075288,
25.18246325898286,
26.318754473153227,
27.51310112835145,
28.74666766435695,
29.999999999999986,
31.25333233564309,
32.48689887164859,
33.68124552684681,
34.81753674101718,
35.87785252292475,
36.84547105928689,
37.705132427757896,
38.44327925502015,
39.0482705246602,
39.51056516295153,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.705132427757896,
36.84547105928689,
35.87785252292474,
34.81753674101711,
33.681245526846745,
32.48689887164851,
31.253332335643016,
29.99999999999998,
28.746667664356945,
27.513101128351447,
26.31875447315322,
25.182463258982857,
24.122147477075224,
23.154528940713078,
22.294867572242083,
21.55672074497983,
20.951729475339793,
20.489434837048456,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.17712749271311,
20.48943483704848,
20.951729475339825,
21.55672074497987,
22.29486757224213,
23.154528940713135,
24.122147477075284,
25.182463258982857,
26.318754473153223,
27.51310112835145,
28.74666766435695,
30.000000000000053,
31.25333233564309,
32.486898871648584,
33.68124552684681,
34.81753674101718,
35.87785252292475,
36.84547105928689,
37.705132427757896,
38.443279255020144,
39.04827052466019,
39.51056516295155,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.04827052466019,
38.443279255020144,
37.705132427757896,
36.84547105928689,
35.87785252292469,
34.817536741017115,
33.681245526846745,
32.48689887164852,
31.25333233564302,
29.999999999999982,
28.74666766435695,
27.51310112835145,
26.318754473153223,
25.182463258982857,
24.122147477075227,
23.15452894071308,
22.294867572242083,
21.556720744979835,
20.951729475339796,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.177127492713126,
20.489434837048478,
20.951729475339825,
21.55672074497987,
22.294867572242126,
23.15452894071313,
24.12214747707528,
25.182463258982857,
26.31875447315322,
27.513101128351447,
28.746667664357016,
30.00000000000005,
31.253332335643087,
32.486898871648584,
33.68124552684681,
34.81753674101717,
35.87785252292474,
36.84547105928689,
37.705132427757896,
38.443279255020144,
39.04827052466022,
39.51056516295155,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.51056516295153,
39.0482705246602,
38.44327925502015,
37.705132427757896,
36.845471059286844,
35.87785252292469,
34.817536741017115,
33.681245526846745,
32.48689887164852,
31.25333233564302,
29.999999999999986,
28.74666766435695,
27.51310112835145,
26.318754473153227,
25.182463258982796,
24.12214747707523,
23.15452894071308,
22.294867572242083,
21.556720744979835,
20.951729475339796,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.019732715717282,
20.177127492713126,
20.489434837048478,
20.951729475339825,
21.55672074497987,
22.294867572242126,
23.154528940713128,
24.12214747707528,
25.182463258982853,
26.31875447315322,
27.513101128351515,
28.746667664357012,
30.00000000000005,
31.253332335643083,
32.486898871648584,
33.68124552684681,
34.81753674101717,
35.87785252292474,
36.84547105928689,
37.70513242775789,
38.44327925502019,
39.04827052466022,
39.51056516295155,
39.822872507286895,
39.98026728428272,
39.98026728428272,
39.82287250728688,
39.510565162951536,
39.0482705246602,
38.44327925502015,
37.70513242775785,
36.845471059286844,
35.87785252292469,
34.817536741017115,
33.68124552684675,
32.48689887164852,
31.253332335643023,
29.99999999999999,
28.746667664356952,
27.513101128351455,
26.318754473153163,
25.1824632589828,
24.12214747707523,
23.154528940713085,
22.294867572242087,
21.556720744979835,
20.951729475339796,
20.48943483704846,
20.17712749271311,
20.019732715717282,
20.01973271571729,
20.177127492713126,
20.489434837048478,
20.95172947533982,
21.556720744979867,
22.294867572242126,
23.154528940713128,
24.122147477075277,
25.18246325898285,
26.318754473153216,
27.51310112835151,
28.746667664357012
]
]
}
],
"layout": {
"autosize": true,
"coloraxis": {
"colorbar": {
"title": {
"text": "Concentration"
}
},
"colorscale": [
[
0,
"rgb(254, 254, 253)"
],
[
0.09090909090909091,
"rgb(224, 224, 223)"
],
[
0.18181818181818182,
"rgb(197, 197, 195)"
],
[
0.2727272727272727,
"rgb(171, 171, 170)"
],
[
0.36363636363636365,
"rgb(146, 146, 145)"
],
[
0.45454545454545453,
"rgb(124, 123, 122)"
],
[
0.5454545454545454,
"rgb(102, 101, 101)"
],
[
0.6363636363636364,
"rgb(81, 80, 80)"
],
[
0.7272727272727273,
"rgb(59, 59, 59)"
],
[
0.8181818181818182,
"rgb(38, 38, 38)"
],
[
0.9090909090909091,
"rgb(16, 16, 16)"
],
[
1,
"rgb(0, 0, 0)"
]
]
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Initial System State (as a heatmap)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"constrain": "domain",
"domain": [
0,
1
],
"range": [
-0.5,
499.5
],
"scaleanchor": "y",
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"constrain": "domain",
"domain": [
0,
1
],
"range": [
0.5,
-0.5
],
"title": {
"text": "Chem. species"
},
"type": "category"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show as heatmap\n",
"fig = px.imshow(bio.system_snapshot().T, \n",
" title= \"Initial System State (as a heatmap)\", \n",
" labels=dict(x=\"Bin number\", y=\"Chem. species\", color=\"Concentration\"),\n",
" text_auto=False, color_continuous_scale=\"gray_r\") \n",
"\n",
"fig.data[0].xgap=0\n",
"fig.data[0].ygap=0\n",
"\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "912b7bd6-5736-4b65-a743-cb26d7e009d7",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Frequency | \n",
" Relative Amplitude | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 3.0 | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
32.46030870245991,
32.73260504279597,
33.24303700941272,
33.932332164054834,
34.7300630845439,
35.567896815407465,
36.38818709296358,
37.14703318185414,
37.81329804902032,
38.365816304145525,
38.79050908565623,
39.078217161660135,
39.22336830381289,
39.22327281358037,
39.07778885993182,
38.789163225068556,
38.36193300233908,
37.80283162536406,
37.12067531138983,
36.32622178280226,
35.43199997720701,
34.452112291147586,
33.402012135503675,
32.29826021637111,
31.158263360739273,
30.000000000000153,
28.84173663926176,
27.70173978363532,
26.597987864535067,
25.547887709074644,
24.568000024005084,
23.67377822347646,
22.87932471946532,
22.197168518313443,
21.63806763081335,
21.210839411951607,
20.922221505953416,
20.776765589608363,
20.776765589608363,
20.922221505953416,
21.210839411951607,
21.63806763081335,
22.197168518313443,
22.87932471946532,
23.67377822347646,
24.568000024005084,
25.547887709074644,
26.59798786453507,
27.701739783635322,
28.841736639261743,
30.000000000000007,
31.15826336073827,
32.298260216364696,
33.402012135464936,
34.45211229092536,
35.431999975994934,
36.32622177652356,
37.1206752805347,
37.80283148168657,
38.361932369186654,
38.789160588048404,
39.07777849404657,
39.22323441039161,
39.22323441039161,
39.07777849404657,
38.789160588048404,
38.361932369186654,
37.80283148168657,
37.12067528053469,
36.32622177652355,
35.43199997599493,
34.45211229092536,
33.402012135464936,
32.298260216364696,
31.15826336073827,
30.000000000000004,
28.84173663926174,
27.70173978363532,
26.597987864535067,
25.547887709074644,
24.568000024005084,
23.67377822347646,
22.87932471946532,
22.197168518313443,
21.63806763081335,
21.210839411951607,
20.92222150595342,
20.776765589608367,
20.776765589608367,
20.92222150595342,
21.210839411951607,
21.638067630813353,
22.197168518313447,
22.879324719465323,
23.673778223476468,
24.56800002400509,
25.54788770907465,
26.597987864535078,
27.70173978363533,
28.84173663926175,
30.000000000000014,
31.158263360738278,
32.2982602163647,
33.40201213546495,
34.45211229092537,
35.431999975994934,
36.32622177652356,
37.1206752805347,
37.80283148168657,
38.361932369186654,
38.789160588048404,
39.07777849404657,
39.22323441039161,
39.22323441039161,
39.07777849404657,
38.789160588048404,
38.361932369186654,
37.80283148168657,
37.120675280534684,
36.326221776523546,
35.43199997599492,
34.45211229092535,
33.40201213546492,
32.29826021636468,
31.158263360738257,
29.99999999999999,
28.84173663926173,
27.70173978363531,
26.597987864535064,
25.54788770907464,
24.56800002400508,
23.67377822347646,
22.87932471946532,
22.197168518313443,
21.63806763081335,
21.210839411951607,
20.922221505953416,
20.776765589608363,
20.776765589608363,
20.92222150595342,
21.210839411951607,
21.63806763081335,
22.197168518313447,
22.879324719465323,
23.673778223476464,
24.568000024005084,
25.547887709074644,
26.597987864535067,
27.70173978363532,
28.841736639261736,
29.999999999999993,
31.158263360738268,
32.2982602163647,
33.40201213546495,
34.45211229092538,
35.43199997599494,
36.32622177652357,
37.120675280534705,
37.80283148168658,
38.36193236918666,
38.78916058804841,
39.077778494046576,
39.22323441039161,
39.22323441039161,
39.07777849404657,
38.7891605880484,
38.36193236918665,
37.80283148168656,
37.120675280534684,
36.326221776523546,
35.43199997599492,
34.45211229092535,
33.40201213546492,
32.298260216364675,
31.158263360738246,
29.999999999999975,
28.841736639261715,
27.701739783635297,
26.59798786453505,
25.54788770907463,
24.568000024005073,
23.673778223476454,
22.879324719465313,
22.197168518313436,
21.638067630813346,
21.210839411951607,
20.92222150595342,
20.776765589608367,
20.776765589608367,
20.922221505953424,
21.210839411951614,
21.638067630813357,
22.19716851831345,
22.87932471946533,
23.67377822347647,
24.568000024005094,
25.547887709074658,
26.597987864535085,
27.701739783635336,
28.84173663926176,
30.000000000000025,
31.15826336073829,
32.29826021636471,
33.40201213546495,
34.45211229092537,
35.43199997599494,
36.32622177652357,
37.120675280534705,
37.80283148168658,
38.36193236918666,
38.78916058804841,
39.07777849404658,
39.223234410391626,
39.22323441039162,
39.077778494046576,
38.789160588048404,
38.361932369186654,
37.80283148168657,
37.120675280534684,
36.326221776523546,
35.43199997599492,
34.45211229092535,
33.40201213546492,
32.298260216364675,
31.158263360738246,
29.999999999999975,
28.841736639261715,
27.701739783635297,
26.59798786453505,
25.54788770907463,
24.568000024005073,
23.673778223476454,
22.879324719465313,
22.197168518313436,
21.638067630813346,
21.210839411951607,
20.92222150595342,
20.776765589608367,
20.776765589608367,
20.922221505953424,
21.210839411951614,
21.638067630813357,
22.19716851831345,
22.87932471946533,
23.673778223476475,
24.568000024005098,
25.547887709074658,
26.597987864535085,
27.70173978363534,
28.84173663926176,
30.000000000000025,
31.15826336073829,
32.29826021636472,
33.40201213546496,
34.45211229092538,
35.43199997599495,
36.326221776523575,
37.12067528053471,
37.80283148168658,
38.36193236918667,
38.78916058804842,
39.07777849404658,
39.223234410391626,
39.22323441039162,
39.07777849404657,
38.7891605880484,
38.36193236918665,
37.80283148168656,
37.120675280534684,
36.326221776523546,
35.43199997599492,
34.45211229092535,
33.40201213546492,
32.298260216364675,
31.158263360738246,
29.99999999999998,
28.841736639261722,
27.701739783635304,
26.597987864535057,
25.547887709074637,
24.568000024005077,
23.673778223476454,
22.87932471946531,
22.197168518313433,
21.63806763081334,
21.2108394119516,
20.922221505953416,
20.776765589608363,
20.776765589608367,
20.922221505953424,
21.210839411951614,
21.63806763081336,
22.197168518313454,
22.879324719465334,
23.673778223476475,
24.568000024005094,
25.547887709074654,
26.597987864535078,
27.701739783635325,
28.841736639261743,
30,
31.158263360738275,
32.2982602163647,
33.40201213546496,
34.452112290925385,
35.43199997599495,
36.326221776523575,
37.12067528053471,
37.80283148168658,
38.36193236918667,
38.78916058804842,
39.07777849404658,
39.223234410391626,
39.22323441039162,
39.07777849404657,
38.7891605880484,
38.36193236918665,
37.80283148168656,
37.120675280534684,
36.326221776523546,
35.43199997599492,
34.45211229092535,
33.40201213546492,
32.298260216364675,
31.158263360738246,
29.99999999999998,
28.841736639261722,
27.701739783635304,
26.597987864535053,
25.54788770907463,
24.56800002400507,
23.673778223476447,
22.879324719465306,
22.19716851831343,
21.63806763081334,
21.2108394119516,
20.922221505953416,
20.776765589608363,
20.776765589608367,
20.922221505953424,
21.210839411951614,
21.63806763081336,
22.197168518313454,
22.879324719465334,
23.673778223476475,
24.568000024005098,
25.547887709074658,
26.597987864535085,
27.70173978363534,
28.841736639261768,
30.00000000000004,
31.158263360738307,
32.29826021636473,
33.40201213546497,
34.45211229092539,
35.431999975994955,
36.32622177652358,
37.12067528053471,
37.80283148168659,
38.36193236918667,
38.78916058804842,
39.07777849404658,
39.223234410391626,
39.22323441039162,
39.07777849404657,
38.7891605880484,
38.36193236918665,
37.80283148168656,
37.120675280534684,
36.32622177652354,
35.43199997599491,
34.45211229092534,
33.40201213546492,
32.298260216364675,
31.158263360738246,
29.999999999999982,
28.841736639261722,
27.701739783635304,
26.597987864535053,
25.54788770907463,
24.56800002400507,
23.673778223476447,
22.87932471946531,
22.197168518313433,
21.63806763081334,
21.2108394119516,
20.922221505953416,
20.776765589608367,
20.77676558960837,
20.922221505953427,
21.210839411951614,
21.63806763081336,
22.197168518313457,
22.879324719465338,
23.67377822347648,
24.5680000240051,
25.547887709074665,
26.597987864535092,
27.70173978363535,
28.84173663926178,
30.00000000000005,
31.158263360738314,
32.29826021636474,
33.40201213546498,
34.45211229092539,
35.431999975994955,
36.32622177652358,
37.12067528053471,
37.80283148168659,
38.36193236918667,
38.78916058804842,
39.07777849404658,
39.223234410391626,
39.22323441039162,
39.07777849404657,
38.7891605880484,
38.36193236918665,
37.80283148168656,
37.120675280534684,
36.32622177652354,
35.43199997599491,
34.45211229092534,
33.40201213546492,
32.298260216364675,
31.15826336073825,
29.999999999999986,
28.841736639261722,
27.7017397836353,
26.59798786453505,
25.547887709074626,
24.568000024005066,
23.673778223476447,
22.87932471946531,
22.197168518313433,
21.63806763081334,
21.2108394119516,
20.922221505953416,
20.776765589608367,
20.77676558960837,
20.922221505953427,
21.210839411951614,
21.63806763081336,
22.197168518313457,
22.879324719465338,
23.673778223476482,
24.568000024005105,
25.547887709074672,
26.5979878645351,
27.701739783635354,
28.841736639261782,
30.00000000000005,
31.158263360738314,
32.29826021636474,
33.40201213546498,
34.45211229092539,
35.431999975994955,
36.32622177652358,
37.12067528053471,
37.80283148168659,
38.36193236918667,
38.78916058804842,
39.07777849404658,
39.223234410391626,
39.22323441039162,
39.07777849404657,
38.7891605880484,
38.36193236918664,
37.80283148168655,
37.12067528053467,
36.32622177652353,
35.431999975994906,
34.45211229092534,
33.402012135464915,
32.29826021636466,
31.158263360738097,
29.99999999999897,
28.841736639255295,
27.701739783596548,
26.597987864312802,
25.547887707862518,
24.568000017726334,
23.673778192621278,
22.87932457578779,
22.197167885160987,
21.63806499379316,
21.210829046066337,
20.92218310276467,
20.776631696187113,
20.776326921994812,
20.920873008345577,
21.206955476992714,
21.627601063479577,
22.170810616993972,
22.81735940302527,
23.5378813840639,
24.290049230386533,
25.017567680484753,
25.65321107148704,
26.127398101577626,
26.381427936801852
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Initial System State"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
19.751491289671584,
40.248203936136115
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= \"Initial System State\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "fa61a714-1feb-4496-834b-c893d23accc5",
"metadata": {},
"outputs": [],
"source": [
"for i in range(4):\n",
" bio.diffuse(total_duration=10, n_steps=100)\n",
" frequency_data = bio.frequency_analysis(species_name=\"A\")\n",
" ratio = frequency_data.loc[10, \"Relative Amplitude\"] / frequency_data.loc[0, \"Relative Amplitude\"]\n",
" bio.add_snapshot(data_snapshot={\"ratio\": ratio})"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "814d02a7-ac39-42c8-81e6-4660b0d10bad",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
35.0621432330835,
35.12327409491519,
35.24177501492264,
35.41034982165744,
35.61859787910375,
35.85361310088633,
36.10070105044351,
36.344157501009924,
36.56805166897588,
36.75696302226095,
36.89663073027136,
36.97448762388976,
36.980064022531465,
36.90525922826195,
36.74448860793031,
36.49472127908994,
36.155427346419586,
35.728454728591196,
35.21785450212981,
34.62967113216883,
33.97171070507978,
33.25329694433681,
32.48502181713614,
31.67849517317943,
30.846096180542286,
30.000728295749514,
29.15557901048043,
28.323885508575938,
27.51870749789416,
26.752708726766155,
26.037948959294525,
25.385688403786205,
24.806206727824183,
24.308638836536367,
23.900829536681577,
23.589209066208603,
23.3786912493953,
23.272595755551457,
23.272595608434703,
23.378690726855577,
23.58920788603345,
23.900827084458268,
24.308633891573805,
24.806196945882878,
25.38566937869113,
26.037912562619137,
26.752640232598605,
27.51858070612875,
28.32365464431022,
29.1551655501755,
30.000000000004096,
30.844834449836615,
31.67634535571716,
32.48141929393848,
33.247359767566586,
33.96208743778157,
34.614330622266465,
35.19380305637072,
35.69136611364845,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036432,
36.62130933232151,
36.41079214072953,
36.099172927456635,
35.69136611364845,
35.19380305637072,
34.61433062226646,
33.96208743778155,
33.24735976756652,
32.48141929393827,
31.67634535571658,
30.84483444983506,
30.000000000000004,
29.155165550164952,
28.32365464428343,
27.51858070606174,
26.75264023243349,
26.037912562218455,
25.385669377733546,
24.80619694362928,
24.308633886351544,
23.90082707254336,
23.589207859270473,
23.37869066767848,
23.27259547963567,
23.27259547963567,
23.37869066767848,
23.589207859270473,
23.90082707254336,
24.308633886351547,
24.80619694362929,
25.385669377733553,
26.037912562218462,
26.752640232433496,
27.51858070606175,
28.32365464428344,
29.15516555016496,
30.000000000000014,
30.844834449835066,
31.676345355716585,
32.48141929393827,
33.24735976756652,
33.96208743778155,
34.61433062226646,
35.19380305637072,
35.69136611364845,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036432,
36.62130933232151,
36.41079214072953,
36.099172927456635,
35.69136611364845,
35.19380305637071,
34.61433062226645,
33.96208743778155,
33.247359767566515,
32.48141929393826,
31.676345355716567,
30.844834449835044,
29.99999999999999,
29.155165550164938,
28.32365464428342,
27.518580706061734,
26.75264023243348,
26.037912562218448,
25.385669377733542,
24.806196943629278,
24.30863388635154,
23.900827072543358,
23.589207859270473,
23.37869066767848,
23.27259547963567,
23.27259547963567,
23.37869066767848,
23.589207859270473,
23.900827072543358,
24.30863388635154,
24.806196943629278,
25.385669377733542,
26.037912562218448,
26.75264023243348,
27.518580706061734,
28.323654644283422,
29.15516555016494,
29.999999999999993,
30.844834449835048,
31.676345355716567,
32.48141929393826,
33.247359767566515,
33.96208743778155,
34.61433062226645,
35.19380305637071,
35.69136611364845,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036431,
36.621309332321495,
36.41079214072951,
36.09917292745662,
35.691366113648435,
35.1938030563707,
34.614330622266436,
33.962087437781534,
33.2473597675665,
32.481419293938245,
31.676345355716553,
30.84483444983503,
29.999999999999975,
29.155165550164927,
28.323654644283412,
27.518580706061723,
26.752640232433475,
26.03791256221844,
25.385669377733535,
24.80619694362927,
24.308633886351537,
23.900827072543354,
23.58920785927047,
23.37869066767848,
23.272595479635672,
23.272595479635676,
23.378690667678487,
23.58920785927048,
23.90082707254337,
24.30863388635155,
24.80619694362929,
25.385669377733556,
26.037912562218466,
26.7526402324335,
27.51858070606176,
28.323654644283447,
29.15516555016497,
30.000000000000025,
30.844834449835076,
31.676345355716595,
32.48141929393829,
33.247359767566536,
33.96208743778156,
34.614330622266465,
35.193803056370726,
35.691366113648456,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036432,
36.6213093323215,
36.41079214072951,
36.09917292745662,
35.691366113648435,
35.193803056370704,
34.61433062226644,
33.962087437781534,
33.2473597675665,
32.481419293938245,
31.676345355716553,
30.84483444983503,
29.999999999999975,
29.155165550164927,
28.323654644283412,
27.518580706061723,
26.752640232433475,
26.03791256221844,
25.385669377733535,
24.80619694362927,
24.308633886351537,
23.900827072543354,
23.58920785927047,
23.37869066767848,
23.272595479635672,
23.272595479635676,
23.378690667678487,
23.58920785927048,
23.90082707254337,
24.30863388635155,
24.80619694362929,
25.385669377733556,
26.037912562218466,
26.7526402324335,
27.51858070606176,
28.323654644283447,
29.15516555016497,
30.000000000000025,
30.844834449835076,
31.676345355716595,
32.48141929393829,
33.247359767566536,
33.96208743778156,
34.614330622266465,
35.193803056370726,
35.691366113648456,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036431,
36.621309332321495,
36.41079214072951,
36.09917292745662,
35.691366113648435,
35.1938030563707,
34.614330622266436,
33.962087437781534,
33.2473597675665,
32.481419293938245,
31.676345355716553,
30.844834449835034,
29.99999999999998,
29.15516555016493,
28.323654644283412,
27.518580706061726,
26.752640232433475,
26.03791256221844,
25.385669377733535,
24.80619694362927,
24.308633886351537,
23.900827072543354,
23.589207859270466,
23.378690667678477,
23.27259547963567,
23.27259547963567,
23.37869066767848,
23.589207859270473,
23.90082707254336,
24.308633886351544,
24.80619694362928,
25.38566937773355,
26.037912562218455,
26.75264023243349,
27.51858070606174,
28.32365464428343,
29.15516555016495,
30,
30.844834449835055,
31.676345355716574,
32.481419293938266,
33.24735976756652,
33.96208743778155,
34.61433062226646,
35.19380305637072,
35.69136611364845,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036431,
36.621309332321495,
36.41079214072951,
36.09917292745662,
35.691366113648435,
35.1938030563707,
34.614330622266436,
33.962087437781534,
33.2473597675665,
32.481419293938245,
31.676345355716553,
30.844834449835034,
29.99999999999998,
29.155165550164927,
28.32365464428341,
27.51858070606172,
26.752640232433468,
26.037912562218438,
25.38566937773353,
24.80619694362927,
24.308633886351537,
23.900827072543354,
23.58920785927047,
23.37869066767848,
23.272595479635672,
23.272595479635676,
23.378690667678487,
23.58920785927048,
23.90082707254337,
24.308633886351554,
24.806196943629296,
25.38566937773356,
26.037912562218473,
26.75264023243351,
27.518580706061766,
28.32365464428346,
29.155165550164984,
30.00000000000004,
30.84483444983509,
31.67634535571661,
32.4814192939383,
33.24735976756655,
33.96208743778158,
34.61433062226647,
35.19380305637073,
35.69136611364846,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036431,
36.621309332321495,
36.41079214072951,
36.09917292745662,
35.691366113648435,
35.1938030563707,
34.614330622266436,
33.962087437781534,
33.2473597675665,
32.481419293938245,
31.676345355716553,
30.844834449835034,
29.999999999999982,
29.15516555016493,
28.323654644283412,
27.518580706061726,
26.752640232433475,
26.03791256221844,
25.385669377733535,
24.80619694362927,
24.308633886351537,
23.900827072543354,
23.58920785927047,
23.37869066767848,
23.272595479635676,
23.27259547963568,
23.37869066767849,
23.589207859270484,
23.900827072543375,
24.30863388635156,
24.806196943629303,
25.385669377733567,
26.03791256221848,
26.752640232433517,
27.518580706061776,
28.32365464428347,
29.155165550164995,
30.00000000000005,
30.844834449835098,
31.676345355716617,
32.4814192939383,
33.24735976756655,
33.96208743778158,
34.61433062226647,
35.19380305637073,
35.69136611364846,
36.099172927456635,
36.41079214072953,
36.62130933232151,
36.72740452036432,
36.72740452036431,
36.621309332321495,
36.41079214072951,
36.09917292745662,
35.691366113648435,
35.1938030563707,
34.614330622266436,
33.962087437781534,
33.2473597675665,
32.481419293938245,
31.676345355716556,
30.844834449835037,
29.999999999999986,
29.155165550164934,
28.323654644283415,
27.518580706061726,
26.752640232433475,
26.03791256221844,
25.385669377733535,
24.80619694362927,
24.308633886351537,
23.900827072543354,
23.58920785927047,
23.37869066767848,
23.272595479635676,
23.27259547963568,
23.37869066767849,
23.589207859270484,
23.900827072543375,
24.308633886351558,
24.806196943629296,
25.385669377733546,
26.037912562218406,
26.752640232433304,
27.518580706061183,
28.323654644281895,
29.15516555016089,
29.99999999998949,
30.8448344498083,
31.676345355649598,
32.48141929377319,
33.24735976716586,
33.96208743682399,
34.6143306200129,
35.19380305114848,
35.69136610173356,
36.09917290069366,
36.41079208155244,
36.62130920352249,
36.72740424444855,
36.7274039386475,
36.621308125383365,
36.410789676591286,
36.0991679772718,
35.69135632945355,
35.19378403031805,
34.61429422519036,
33.962018943448854,
33.24723297573408,
32.48118842964575,
31.675931895401085,
30.844106154085537,
29.998738269292772,
29.153015732702087,
28.320052121085542,
27.512643529291438,
26.74301696513525,
26.022572052316065,
25.361617931974425,
24.769108328686517,
24.252379467388575,
23.81689793418293,
23.466028583661668,
23.200835959780836,
23.019935977468517,
22.919417188067417,
22.89285207813664,
22.931417764466158,
23.024141517215934,
23.15827944171234,
23.31982651545223,
23.49414371462877,
23.666674450681224,
23.823709704714314,
23.953151046855666,
24.04521499920329,
24.09302231708144
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "System State at time t=50.00000000000044"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
22.11022919233693,
37.762686908331176
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "3faf62be-dff8-41c3-ba75-76fbd9251b43",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.227592 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
35.75455594374215,
35.745365554369684,
35.72658741401776,
35.69744387593923,
35.656810532987684,
35.60326496082366,
35.535148899901394,
35.45064162084475,
35.347841834842896,
35.224855234253276,
35.07988458716603,
34.91131926616328,
34.71782116332375,
34.498404123030596,
34.25250429930495,
33.98003919967117,
33.681453594953446,
33.35775093450903,
33.01050938951073,
32.64188213396733,
32.25458194670956,
31.85185066227498,
31.437414401876485,
31.01542586776744,
30.59039527866651,
30.167111756737732,
29.75055714685928,
29.345814357790346,
28.957972365479616,
28.59203001570871,
28.25280071207961,
27.944819982167537,
27.672257785823344,
27.438837271406808,
27.247761504160035,
27.10164949154617,
27.00248261822027,
26.951562382853066,
26.9494801042481,
26.996099038541473,
27.090549125792517,
27.231234365649595,
27.415852610415396,
27.6414273619263,
27.904350968217738,
28.20043843885205,
28.524990935799355,
28.872867851532682,
29.23856625904858,
29.616306411232664,
30.000121880562663,
30.38395286558591,
30.761741148696256,
31.127525170976007,
31.475533694481754,
31.800276550248114,
32.09663102104521,
32.35992248080756,
32.5859980065754,
32.77129179235461,
32.91288132579877,
33.00853343605382,
33.05673948223125,
33.05673912431558,
33.0085322992069,
32.91287921124723,
32.77128833607768,
32.585992626069405,
32.35991429190531,
32.096618715244915,
31.8002582189563,
31.4755065814528,
31.12748532771638,
30.76168295932746,
30.38386839721356,
30.000000002122817,
29.616131607588017,
29.238317047273426,
28.872514682349234,
28.52449343454334,
28.199741806778672,
27.90338132619035,
27.640085774575216,
27.414007480055904,
27.22871183238278,
27.08712105460588,
26.99146811787062,
26.94326152612823,
26.943261526126914,
26.991468117866237,
27.087121054596984,
27.228711832366464,
27.414007480026935,
27.6400857745245,
27.903381326102267,
28.19974180662671,
28.52449343428277,
28.8725146819051,
29.23831704652087,
29.61613160632035,
30.000000000000014,
30.383868393679677,
30.761682953479156,
31.127485318094926,
31.475506565717257,
31.800258193373324,
32.09661867389778,
32.35991422547558,
32.58599251997321,
32.7712881676338,
32.91287894540351,
33.00853188213466,
33.056738473874724,
33.056738473874724,
33.008531882134655,
32.912878945403506,
32.77128816763379,
32.5859925199732,
32.35991422547557,
32.096618673897765,
31.800258193373306,
31.47550656571724,
31.12748531809491,
30.761682953479134,
30.383868393679656,
29.99999999999999,
29.616131606320323,
29.23831704652084,
28.872514681905066,
28.524493434282732,
28.19974180662666,
27.903381326102195,
27.640085774524387,
27.41400748002676,
27.228711832366166,
27.08712105459646,
26.991468117865303,
26.94326152612524,
26.94326152612524,
26.991468117865306,
27.087121054596462,
27.22871183236617,
27.414007480026765,
27.64008577452439,
27.903381326102203,
28.199741806626662,
28.52449343428274,
28.87251468190507,
29.238317046520844,
29.616131606320323,
29.999999999999993,
30.383868393679656,
30.761682953479134,
31.127485318094905,
31.475506565717232,
31.8002581933733,
32.09661867389776,
32.35991422547556,
32.585992519973196,
32.771288167633784,
32.9128789454035,
33.00853188213465,
33.05673847387471,
33.05673847387471,
33.00853188213464,
32.91287894540349,
32.77128816763378,
32.58599251997319,
32.359914225475556,
32.09661867389775,
31.800258193373292,
31.475506565717225,
31.127485318094894,
30.76168295347912,
30.38386839367964,
29.999999999999975,
29.61613160632031,
29.238317046520834,
28.87251468190506,
28.52449343428273,
28.199741806626655,
27.903381326102195,
27.640085774524383,
27.41400748002676,
27.228711832366166,
27.087121054596466,
26.991468117865313,
26.943261526125248,
26.94326152612525,
26.99146811786532,
27.087121054596476,
27.228711832366184,
27.414007480026783,
27.640085774524408,
27.90338132610222,
28.199741806626683,
28.52449343428276,
28.872514681905095,
29.238317046520873,
29.616131606320355,
30.000000000000025,
30.383868393679688,
30.761682953479166,
31.127485318094937,
31.475506565717268,
31.800258193373335,
32.096618673897794,
32.35991422547559,
32.585992519973225,
32.771288167633806,
32.91287894540352,
33.00853188213466,
33.056738473874724,
33.056738473874724,
33.008531882134655,
32.912878945403506,
32.77128816763379,
32.5859925199732,
32.35991422547557,
32.096618673897765,
31.800258193373303,
31.475506565717232,
31.127485318094898,
30.761682953479124,
30.38386839367964,
29.999999999999975,
29.61613160632031,
29.238317046520834,
28.87251468190506,
28.52449343428273,
28.199741806626655,
27.903381326102195,
27.640085774524383,
27.41400748002676,
27.228711832366166,
27.087121054596466,
26.991468117865313,
26.943261526125248,
26.94326152612525,
26.99146811786532,
27.087121054596476,
27.228711832366184,
27.414007480026783,
27.640085774524408,
27.90338132610222,
28.199741806626683,
28.52449343428276,
28.872514681905095,
29.238317046520873,
29.616131606320355,
30.000000000000025,
30.383868393679688,
30.761682953479163,
31.127485318094934,
31.47550656571726,
31.800258193373324,
32.09661867389778,
32.35991422547558,
32.58599251997321,
32.77128816763379,
32.912878945403506,
33.008531882134655,
33.05673847387472,
33.05673847387472,
33.00853188213465,
32.91287894540349,
32.77128816763378,
32.58599251997319,
32.359914225475556,
32.09661867389775,
31.800258193373292,
31.475506565717225,
31.127485318094894,
30.76168295347912,
30.38386839367964,
29.99999999999998,
29.61613160632031,
29.23831704652083,
28.872514681905056,
28.524493434282725,
28.19974180662665,
27.90338132610219,
27.640085774524383,
27.414007480026758,
27.228711832366162,
27.08712105459646,
26.991468117865306,
26.94326152612524,
26.943261526125244,
26.991468117865313,
27.08712105459647,
27.228711832366177,
27.414007480026772,
27.640085774524398,
27.90338132610221,
28.19974180662667,
28.524493434282746,
28.872514681905077,
29.23831704652085,
29.61613160632033,
30,
30.383868393679663,
30.76168295347914,
31.127485318094912,
31.475506565717243,
31.80025819337331,
32.096618673897765,
32.35991422547556,
32.585992519973196,
32.771288167633784,
32.9128789454035,
33.00853188213465,
33.05673847387471,
33.05673847387471,
33.00853188213464,
32.91287894540349,
32.77128816763378,
32.58599251997319,
32.359914225475556,
32.09661867389775,
31.800258193373292,
31.475506565717225,
31.127485318094894,
30.76168295347912,
30.38386839367964,
29.99999999999998,
29.616131606320316,
29.238317046520837,
28.872514681905063,
28.524493434282732,
28.19974180662666,
27.9033813261022,
27.64008577452439,
27.41400748002677,
27.228711832366173,
27.087121054596466,
26.991468117865313,
26.943261526125248,
26.94326152612525,
26.99146811786532,
27.08712105459648,
27.228711832366187,
27.414007480026786,
27.64008577452442,
27.90338132610223,
28.199741806626697,
28.524493434282775,
28.87251468190511,
29.238317046520887,
29.61613160632037,
30.00000000000004,
30.383868393679702,
30.761682953479177,
31.127485318094948,
31.475506565717275,
31.800258193373338,
32.096618673897794,
32.35991422547559,
32.585992519973225,
32.771288167633806,
32.91287894540352,
33.00853188213467,
33.05673847387473,
33.05673847387473,
33.00853188213466,
32.912878945403506,
32.77128816763379,
32.5859925199732,
32.35991422547557,
32.096618673897765,
31.800258193373303,
31.475506565717232,
31.1274853180949,
30.761682953479127,
30.38386839367965,
29.999999999999982,
29.616131606320316,
29.23831704652084,
28.872514681905066,
28.524493434282736,
28.199741806626662,
27.903381326102203,
27.64008577452439,
27.41400748002677,
27.228711832366173,
27.087121054596473,
26.99146811786532,
26.943261526125255,
26.94326152612526,
26.991468117865328,
27.087121054596487,
27.228711832366194,
27.414007480026793,
27.640085774524426,
27.903381326102238,
28.199741806626704,
28.524493434282782,
28.872514681905116,
29.238317046520894,
29.61613160632038,
30.00000000000005,
30.383868393679705,
30.76168295347918,
31.127485318094944,
31.475506565717264,
31.800258193373313,
32.09661867389773,
32.35991422547546,
32.585992519972955,
32.77128816763332,
32.91287894540262,
33.008531882133035,
33.056738473871775,
33.056738473869444,
33.00853188212527,
32.912878945386915,
32.77128816760467,
32.585992519922385,
32.35991422538743,
32.09661867374576,
31.800258193112708,
31.475506565273072,
31.127485317342327,
30.76168295221145,
30.383868391556838,
29.999999996466094,
29.616131600472006,
29.238317036899378,
28.872514666169508,
28.524493408699755,
28.199741765279533,
27.90338125967249,
27.640085668428213,
27.414007311582907,
27.228711566522456,
27.087120637524244,
26.99146746742447,
26.943260517768746,
26.943259972206125,
26.991465737470072,
27.08711742987568,
27.228706345763996,
27.4139992246948,
27.640073427376976,
27.903362969227423,
28.199714677862165,
28.524453581401666,
28.872456486687987,
29.238232574614624,
29.61600972575768,
29.99982519508768,
30.383619181151957,
30.761329783851554,
31.126987816578318,
31.474809933491887,
31.799288551257806,
32.0952770864959,
32.358069095086975,
32.5834699866898,
32.76786009643776,
32.90824802472735,
33.00231330401182,
33.04843761714691,
33.04572397351976,
32.99400344518495,
32.89382927360964,
32.74645837625376,
32.55382050867426,
32.318475569410246,
32.04355976844483,
31.732721611947344,
31.3900488821427,
31.019988006825407,
30.627257412940175,
30.216756636941913,
29.793473115013132,
29.362388692032013,
28.92838796273926,
28.49617058534733,
28.070169680946492,
27.654478346557116,
27.252786162067057,
26.86832735998859,
26.503842052707142,
26.161551578098535,
25.84314863742619,
25.54980246870944,
25.282178836676227,
25.040474142096635,
24.82446247610278,
24.633553987976974,
24.46686251749647,
24.323280084657583,
24.201555548520766,
24.10037455865185,
24.01843783935621,
23.954534876438405,
23.90761022136644,
23.876819885830802,
23.861575662578144
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "System State at time t=149.99999999999577"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
23.20085453584681,
36.41527707047348
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "ff3e64d5-c412-4e1e-a4a7-0305cab24e13",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.227592 | \n",
" | \n",
"
\n",
" \n",
" | 6 | \n",
" 60.0 | \n",
" 0.211230 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 70.0 | \n",
" 0.196140 | \n",
" | \n",
"
\n",
" \n",
" | 8 | \n",
" 80.0 | \n",
" 0.182216 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 90.0 | \n",
" 0.169363 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 100.0 | \n",
" 0.157493 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 110.0 | \n",
" 0.146526 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 120.0 | \n",
" 0.136390 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 130.0 | \n",
" 0.127020 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 140.0 | \n",
" 0.118354 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 150.0 | \n",
" 0.110337 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
33.41342366776592,
33.40429941204981,
33.38610545216004,
33.35895056639548,
33.322997110012864,
33.278460040040265,
33.225605614333325,
33.16474976473543,
33.09625614472148,
33.020533852765126,
32.938034833913676,
32.84925096371086,
32.75471082069188,
32.65497615618559,
32.550638073079305,
32.442312928501366,
32.33063797900744,
32.216266790757814,
32.099864441269986,
31.98210254353799,
31.86365412753231,
31.745188418228274,
31.627365553251273,
31.510831286862885,
31.39621173023572,
31.284108180671005,
31.17509209450244,
31.069700259813008,
30.968430225688916,
30.871736044481622,
30.78002438239487,
30.693651051626187,
30.61291801425691,
30.538070904106245,
30.469297107867586,
30.40672444107365,
30.350420447853825,
30.300392346134885,
30.256587631992957,
30.21889534840559,
30.187148014805135,
30.16112420473791,
30.140551749735277,
30.125111538357,
30.114441870430007,
30.108143317934477,
30.105784035937486,
30.10690545959007,
30.11102831662585,
30.11765887915557,
30.126295373955934,
30.136434466999408,
30.147577735744218,
30.159238041758147,
30.170945716625,
30.182254475793293,
30.192746978066673,
30.20203995277431,
30.20978882224604,
30.21569175397662,
30.219493084702883,
30.220986067422974,
30.220014902028737,
30.21647602055391,
30.21031860890562,
30.20154435817519,
30.190206450041547,
30.176407792207137,
30.160298531059944,
30.14207287965765,
30.121965309505278,
30.10024616427908,
30.077216762479786,
30.05320406383361,
30.028554980971045,
30.003630423390582,
29.978799164865027,
29.954431628201583,
29.930893682575054,
29.908540548489977,
29.887710903791046,
29.868721281052455,
29.85186084218092,
29.837386610230663,
29.82551923134096,
29.81643933147582,
29.810284523398934,
29.80714710919769,
29.80707251283667,
29.810058465841102,
29.816054957464093,
29.824964948760503,
29.836645838063887,
29.850911653626973,
29.86753593782644,
29.886255276527564,
29.906773417123894,
29.928765909570597,
29.95188519656255,
29.975766071998684,
30.000031421132935,
30.02429815143082,
30.048183220198233,
30.071309663572123,
30.093312531485974,
30.113844634745078,
30.13258201334506,
30.149229039594502,
30.16352307538905,
30.175238610040175,
30.184190813274647,
30.190238447262352,
30.193286091654812,
30.193285646464723,
30.19023708901787,
30.184188472982797,
30.175235169445422,
30.163518361956864,
30.149222819254405,
30.132573980752767,
30.11383440074535,
30.09329960737287,
30.07129344164937,
30.048162950038456,
30.024272911115528,
30.000000082624567,
29.975727259649283,
29.951837237598404,
29.92870677520749,
29.906700652760026,
29.886165919229867,
29.867426419068273,
29.8507776849491,
29.83648227701484,
29.824765642124913,
29.815812558407107,
29.809764221182906,
29.806716016222513,
29.80671601544615,
29.809764218794808,
29.81581255422624,
29.824765635835956,
29.836482268146913,
29.850777672844238,
29.867426402837868,
29.88616589769643,
29.906700624381084,
29.928706737977222,
29.951837188921655,
29.975727196181037,
30.000000000066326,
30.024272803957857,
30.04816281123651,
30.07129326221489,
30.093299375862568,
30.11383410262073,
30.132573597580965,
30.1492223277129,
30.163517732596567,
30.17523436515706,
30.18418744709955,
30.190235782973367,
30.193283986908593,
30.193283986908188,
30.190235782972113,
30.184187447097315,
30.175234365153614,
30.163517732591547,
30.149222327705786,
30.13257359757103,
30.113834102606976,
30.093299375843625,
30.071293262188874,
30.048162811200882,
30.024272803909188,
29.999999999999975,
29.975727196090777,
29.9518371887991,
29.92870673781113,
29.906700624156404,
29.886165897393084,
29.86742640242907,
29.850777672294374,
29.836482267408698,
29.82476563484674,
29.815812552903186,
29.8097642170286,
29.806716013092814,
29.806716013092817,
29.809764217028604,
29.815812552903196,
29.824765634846756,
29.83648226740872,
29.8507776722944,
29.867426402429096,
29.886165897393113,
29.90670062415644,
29.92870673781117,
29.951837188799143,
29.975727196090823,
30.000000000000025,
30.024272803909223,
30.0481628112009,
30.07129326218887,
30.093299375843596,
30.113834102606916,
30.13257359757093,
30.149222327705626,
30.163517732591302,
30.17523436515326,
30.184187447096814,
30.1902357829714,
30.193283986907186,
30.193283986907183,
30.190235782971396,
30.184187447096804,
30.175234365153244,
30.16351773259128,
30.1492223277056,
30.132573597570904,
30.113834102606887,
30.09329937584356,
30.07129326218883,
30.048162811200857,
30.024272803909177,
29.999999999999975,
29.975727196090777,
29.9518371887991,
29.92870673781113,
29.906700624156404,
29.886165897393084,
29.86742640242907,
29.850777672294374,
29.836482267408698,
29.82476563484674,
29.815812552903186,
29.8097642170286,
29.806716013092814,
29.806716013092817,
29.809764217028604,
29.815812552903196,
29.824765634846756,
29.83648226740872,
29.8507776722944,
29.867426402429096,
29.886165897393113,
29.90670062415644,
29.92870673781117,
29.951837188799143,
29.975727196090823,
30.000000000000025,
30.024272803909223,
30.0481628112009,
30.07129326218887,
30.093299375843596,
30.113834102606916,
30.13257359757093,
30.149222327705626,
30.163517732591302,
30.17523436515326,
30.184187447096814,
30.1902357829714,
30.193283986907186,
30.193283986907183,
30.1902357829714,
30.184187447096807,
30.175234365153248,
30.163517732591288,
30.14922232770561,
30.13257359757091,
30.113834102606894,
30.093299375843568,
30.07129326218884,
30.048162811200864,
30.02427280390918,
29.99999999999998,
29.97572719609078,
29.951837188799104,
29.928706737811133,
29.906700624156407,
29.886165897393084,
29.86742640242907,
29.850777672294374,
29.836482267408698,
29.824765634846738,
29.815812552903182,
29.809764217028594,
29.806716013092807,
29.80671601309281,
29.809764217028597,
29.81581255290319,
29.82476563484675,
29.836482267408705,
29.850777672294385,
29.867426402429086,
29.8861658973931,
29.90670062415642,
29.928706737811147,
29.951837188799118,
29.975727196090798,
30,
30.0242728039092,
30.048162811200875,
30.071293262188846,
30.09329937584357,
30.113834102606894,
30.132573597570907,
30.149222327705605,
30.16351773259128,
30.17523436515324,
30.184187447096797,
30.190235782971385,
30.193283986907172,
30.19328398690717,
30.19023578297138,
30.18418744709679,
30.17523436515323,
30.163517732591274,
30.149222327705594,
30.132573597570893,
30.11383410260688,
30.093299375843557,
30.07129326218883,
30.04816281120086,
30.02427280390918,
29.99999999999998,
29.975727196090762,
29.951837188799068,
29.92870673781107,
29.906700624156315,
29.886165897392953,
29.867426402428883,
29.850777672294107,
29.836482267408314,
29.824765634846212,
29.815812552902447,
29.809764217027567,
29.806716013091386,
29.806716013090828,
29.80976421702584,
29.815812552899366,
29.824765634841455,
29.836482267401408,
29.850777672284327,
29.867426402415244,
29.8861658973741,
29.90670062413038,
29.928706737775517,
29.951837188750464,
29.97572719602448,
29.99999999990977,
30.02427280378668,
30.048162811034825,
30.071293261964215,
30.093299375540262,
30.11383410219814,
30.132573597021086,
30.149222326967422,
30.163517731602106,
30.175234363830224,
30.184187445330622,
30.19023578061809,
30.19328398377751,
30.1932839827529,
30.190235777467507,
30.184187439818665,
30.175234355547133,
30.163517719936596,
30.14922231106643,
30.132573575734153,
30.1138340740033,
30.09329933844724,
30.071293213389577,
30.048162747642404,
30.024272721284635,
29.999999892793674,
29.975727057253216,
29.9518370093386,
29.928706506281845,
29.906700326017962,
29.88616551421124,
29.86742591088028,
29.850777042928808,
29.83648146311653,
29.824764608960752,
29.815811246856722,
29.809762557471068,
29.806713908345195,
29.80671334880187,
29.809760850850765,
29.81580830801627,
29.824760292048996,
29.83647555551982,
29.85076925652025,
29.867415870290912,
29.886152741750706,
29.90668422277316,
29.9286863288138,
29.9518118412775,
29.97569577495787,
29.999961124092117,
30.02422479614577,
30.04810363944144,
30.071220469221384,
30.093209996709117,
30.113724567209548,
30.132439616238337,
30.149058757050433,
30.163318418677544,
30.174991960592354,
30.18389319828431,
30.189879283227555,
30.192852890802317,
30.192763680536864,
30.18960900439878,
30.183433850602608,
30.1743300223313,
30.16243456270477,
30.147927449082253,
30.13102859117298,
30.111994178273356,
30.09111243107968,
30.068698822786402,
30.045090842426664,
30.020642380518623,
29.995717822938154,
29.97068594345806,
29.945913688508174,
29.92175994937563,
29.898569417258035,
29.87666661530635,
29.856350199074736,
29.83788761267853,
29.821510182520388,
29.80740872376834,
29.79572972696894,
29.786572183381843,
29.779985097971228,
29.775965728641207,
29.774458579422493,
29.77535516407978,
29.778494545191965,
29.78366464233997,
29.790604291798594,
29.799006029242655,
29.808519556611646,
29.81875584458709,
29.829291813267776,
29.83967552570888,
29.84943182213484,
29.858068316935203,
29.865081676082443,
29.869964089421924,
29.872209850407764,
29.87132195530218,
29.86681863460596,
29.85823973150829,
29.845152845379037,
29.827159162700124,
29.803898903251294,
29.775056315719812,
29.740364164071252,
29.699607653865108,
29.652627756081948,
29.599323894800932,
29.539655974075956,
29.4736457284557,
29.401377390628753,
29.322997678508493,
29.23871511256913,
29.148798682281683,
29.05357588796578,
28.953430191174938,
28.848797912789212,
28.740164623238176,
28.628061073673464,
28.513058720428784,
28.395764897736687,
28.276817695426438,
28.156880599231002,
28.03663695142601,
27.916784288864697,
27.798028614127848,
27.681078653554504,
27.56664015344217,
27.455410262795265,
27.34807204775017,
27.245289179308095,
27.14770083235334,
27.05591683021172,
26.97051306529131,
26.892027222716553,
26.820954830378863,
26.757745655531966,
26.70280046499571,
26.656468163223803,
26.6190433199498,
26.590764096852,
26.571810580658518,
26.562303528324897
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "System State at time t=500.0000000000452"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
26.181685742800397,
33.79404145329042
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "c3c8003c-fccf-49d9-97d0-a6f266fc134b",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | 5 | \n",
" 50.0 | \n",
" 0.227592 | \n",
" | \n",
"
\n",
" \n",
" | 6 | \n",
" 60.0 | \n",
" 0.211230 | \n",
" | \n",
"
\n",
" \n",
" | 7 | \n",
" 70.0 | \n",
" 0.196140 | \n",
" | \n",
"
\n",
" \n",
" | 8 | \n",
" 80.0 | \n",
" 0.182216 | \n",
" | \n",
"
\n",
" \n",
" | 9 | \n",
" 90.0 | \n",
" 0.169363 | \n",
" | \n",
"
\n",
" \n",
" | 10 | \n",
" 100.0 | \n",
" 0.157493 | \n",
" | \n",
"
\n",
" \n",
" | 11 | \n",
" 110.0 | \n",
" 0.146526 | \n",
" | \n",
"
\n",
" \n",
" | 12 | \n",
" 120.0 | \n",
" 0.136390 | \n",
" | \n",
"
\n",
" \n",
" | 13 | \n",
" 130.0 | \n",
" 0.127020 | \n",
" | \n",
"
\n",
" \n",
" | 14 | \n",
" 140.0 | \n",
" 0.118354 | \n",
" | \n",
"
\n",
" \n",
" | 15 | \n",
" 150.0 | \n",
" 0.110337 | \n",
" | \n",
"
\n",
" \n",
" | 16 | \n",
" 160.0 | \n",
" 0.102919 | \n",
" | \n",
"
\n",
" \n",
" | 17 | \n",
" 170.0 | \n",
" 0.096052 | \n",
" | \n",
"
\n",
" \n",
" | 18 | \n",
" 180.0 | \n",
" 0.089695 | \n",
" | \n",
"
\n",
" \n",
" | 19 | \n",
" 190.0 | \n",
" 0.083806 | \n",
" | \n",
"
\n",
" \n",
" | 20 | \n",
" 200.0 | \n",
" 0.078351 | \n",
" | \n",
"
\n",
" \n",
" | 21 | \n",
" 210.0 | \n",
" 0.073296 | \n",
" | \n",
"
\n",
" \n",
" | 22 | \n",
" 220.0 | \n",
" 0.068611 | \n",
" | \n",
"
\n",
" \n",
" | 23 | \n",
" 230.0 | \n",
" 0.064267 | \n",
" | \n",
"
\n",
" \n",
" | 24 | \n",
" 240.0 | \n",
" 0.060238 | \n",
" | \n",
"
\n",
" \n",
" | 25 | \n",
" 250.0 | \n",
" 0.056500 | \n",
" | \n",
"
\n",
" \n",
" | 26 | \n",
" 260.0 | \n",
" 0.053032 | \n",
" | \n",
"
\n",
" \n",
" | 27 | \n",
" 270.0 | \n",
" 0.049813 | \n",
" | \n",
"
\n",
" \n",
" | 28 | \n",
" 280.0 | \n",
" 0.046824 | \n",
" | \n",
"
\n",
" \n",
" | 29 | \n",
" 290.0 | \n",
" 0.044048 | \n",
" | \n",
"
\n",
" \n",
" | 30 | \n",
" 300.0 | \n",
" 0.041469 | \n",
" | \n",
"
\n",
" \n",
" | 31 | \n",
" 310.0 | \n",
" 0.039073 | \n",
" | \n",
"
\n",
" \n",
" | 32 | \n",
" 320.0 | \n",
" 0.036846 | \n",
" | \n",
"
\n",
" \n",
" | 33 | \n",
" 330.0 | \n",
" 0.034775 | \n",
" | \n",
"
\n",
" \n",
" | 34 | \n",
" 340.0 | \n",
" 0.032849 | \n",
" | \n",
"
\n",
" \n",
" | 35 | \n",
" 350.0 | \n",
" 0.031057 | \n",
" | \n",
"
\n",
" \n",
" | 36 | \n",
" 360.0 | \n",
" 0.029389 | \n",
" | \n",
"
\n",
" \n",
" | 37 | \n",
" 370.0 | \n",
" 0.027836 | \n",
" | \n",
"
\n",
" \n",
" | 38 | \n",
" 380.0 | \n",
" 0.026390 | \n",
" | \n",
"
\n",
" \n",
" | 39 | \n",
" 390.0 | \n",
" 0.025043 | \n",
" | \n",
"
\n",
" \n",
" | 40 | \n",
" 400.0 | \n",
" 0.023788 | \n",
" | \n",
"
\n",
" \n",
" | 41 | \n",
" 410.0 | \n",
" 0.022618 | \n",
" | \n",
"
\n",
" \n",
" | 42 | \n",
" 420.0 | \n",
" 0.021526 | \n",
" | \n",
"
\n",
" \n",
" | 43 | \n",
" 430.0 | \n",
" 0.020508 | \n",
" | \n",
"
\n",
" \n",
" | 44 | \n",
" 440.0 | \n",
" 0.019558 | \n",
" | \n",
"
\n",
" \n",
" | 45 | \n",
" 450.0 | \n",
" 0.018671 | \n",
" | \n",
"
\n",
" \n",
" | 46 | \n",
" 460.0 | \n",
" 0.017842 | \n",
" | \n",
"
\n",
" \n",
" | 47 | \n",
" 470.0 | \n",
" 0.017068 | \n",
" | \n",
"
\n",
" \n",
" | 48 | \n",
" 480.0 | \n",
" 0.016345 | \n",
" | \n",
"
\n",
" \n",
" | 49 | \n",
" 490.0 | \n",
" 0.015668 | \n",
" | \n",
"
\n",
" \n",
" | 50 | \n",
" 500.0 | \n",
" 0.015035 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
Bin number=%{x}
concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "red",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "A",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499
],
"xaxis": "x",
"y": [
32.171388792211935,
32.16876279088926,
32.16352059640334,
32.155681765161404,
32.145275482466666,
32.13234038466449,
32.11692432418415,
32.09908407932029,
32.07888501102881,
32.05640066942246,
32.03171235303927,
32.00490862431622,
31.976084785031833,
31.945342315777918,
31.912788283782923,
31.87853472363279,
31.84269799561953,
31.805398126590113,
31.766758138268237,
31.726903368077952,
31.68596078751044,
31.644058323043758,
31.60132418455008,
31.557886206006845,
31.5138712031687,
31.469404352656916,
31.424608596685438,
31.379604077368633,
31.33450760424939,
31.28943215834909,
31.24448643567769,
31.199774432755365,
31.155395076291363,
31.111441898744552,
31.068002761058025,
31.025159623421203,
30.982988364471836,
30.941558648911144,
30.900933843072924,
30.86117097756567,
30.82232075570027,
30.784427606028373,
30.747529776952017,
30.71165947102741,
30.6768430162777,
30.643101071554643,
30.61044886274942,
30.578896446451203,
30.54844899748954,
30.519107116675197,
30.490867154974165,
30.46372155031179,
30.4376591732079,
30.412665677489517,
30.38872385241312,
30.36581397265305,
30.34391414277366,
30.3230006329982,
30.303048203314223,
30.284030413210516,
30.265919914620287,
30.248688725946202,
30.232308485360655,
30.216750681905094,
30.20198686325114,
30.187988819329213,
30.174728741372842,
30.162179356264684,
30.15031403639895,
30.139106885590756,
30.128532801861493,
30.118567518207314,
30.109187622712223,
30.10037055959422,
30.09209461297103,
30.08433887529821,
30.077083202565362,
30.07030815843502,
30.063994949572177,
30.05812535444062,
30.052681647835442,
30.04764652337995,
30.04300301614107,
30.038734427412074,
30.034824253576794,
30.03125612080863,
30.028013727172727,
30.025080793494585,
30.022441024136366,
30.02007807858643,
30.017975554523243,
30.01611698276408,
30.01448583425758,
30.013065539029824,
30.01183951675076,
30.010791218355347,
30.009904177934743,
30.00916207391103,
30.008548798327404,
30.008048532926594,
30.00764583055663,
30.007325700336054,
30.007073694932515,
30.00687599825963,
30.006719511878238,
30.00659193839945,
30.00648186022776,
30.00637881205215,
30.006273345590593,
30.006157085215783,
30.006022773236943,
30.00586430377961,
30.005676744391216,
30.005456344700963,
30.00520053167498,
30.004907891228438,
30.004578136181415,
30.00421206077155,
30.00381148215952,
30.0033791695803,
30.00291876199963,
30.00243467532857,
30.00193200042554,
30.00141639327279,
30.000893958849254,
30.000371130333193,
29.999854545352964,
29.99935092106215,
29.998866929844656,
29.998409077456085,
29.99798358537932,
29.99759627911564,
29.997252484048484,
29.99695693040626,
29.996713668715817,
29.996525996980647,
29.996396400640663,
29.996326506175876,
29.99631704900805,
29.996367856135084,
29.996477843706575,
29.996645029518863,
29.996866560177654,
29.99713875245002,
29.99745714810799,
29.9978165813574,
29.99821125775109,
29.998634843307748,
29.999080562400135,
29.99954130284102,
30.00000972648429,
30.000478383574418,
30.00093982902041,
30.001386738742163,
30.00181202423795,
30.002208943551466,
30.002571206875196,
30.002893075112837,
30.00316944983595,
30.003395953206734,
30.00356899659809,
30.003685836821564,
30.00374461906958,
30.00374440588912,
30.003685191724685,
30.003567902796583,
30.003394382312507,
30.00316736124207,
30.002890415111985,
30.002567907500662,
30.00220492112083,
30.001807177574932,
30.00138094704706,
30.00093294935387,
30.000470247913693,
30.000000138304657,
29.999530033168366,
29.99906734527324,
29.99861937058094,
29.99819317315925,
29.997795473755765,
29.997432543789195,
29.997110106429613,
29.996833246327235,
29.99660632941307,
29.99643293403593,
29.996315794521564,
29.996256758043767,
29.996256755487508,
29.99631578676335,
29.996432920804715,
29.996606310247802,
29.99683322056271,
29.997110073176053,
29.99743250190517,
29.997795421813635,
29.998193109402287,
29.998619292870988,
29.999067251027633,
29.999529919284505,
30.00000000107033,
30.000470082900936,
30.00093275129386,
30.00138070968297,
30.001806893489313,
30.002204581533483,
30.002567502032374,
30.00288993150875,
30.00316678505376,
30.003393696518824,
30.003567087372318,
30.00368422313506,
30.003743256504578,
30.003743256488143,
30.003684223085013,
30.003567087286402,
30.003393696393182,
30.003166784882772,
30.00288993128482,
30.002567501745585,
30.002204581171227,
30.001806893035788,
30.001380709118543,
30.000932750594302,
30.00047008203647,
30.000000000004484,
29.999529917972747,
29.999067249415635,
29.998619290892638,
29.998193106977208,
29.997795418844262,
29.99743249827319,
29.99711006873819,
29.996833215145607,
29.996606303641975,
29.996432912757246,
29.99631577696924,
29.996256743579302,
29.996256743579252,
29.99631577696908,
29.996432912756966,
29.99660630364156,
29.996833215145028,
29.997110068737406,
29.997432498272165,
29.997795418842934,
29.998193106975503,
29.99861929089045,
29.999067249412857,
29.99952991796922,
30.000000000000025,
30.000470082030827,
30.000932750587186,
30.001380709109586,
30.001806893024526,
30.002204581157088,
30.00256750172785,
30.0028899312626,
30.003166784854972,
30.003393696358433,
30.003567087243017,
30.003684223030888,
30.003743256420705,
30.003743256420634,
30.003684223030675,
30.00356708724264,
30.003393696357875,
30.003166784854194,
30.002889931261564,
30.002567501726492,
30.002204581155343,
30.0018068930223,
30.00138070910675,
30.00093275058359,
30.000470082026283,
29.9999999999943,
29.999529917962036,
29.999067249403836,
29.998619290879134,
29.998193106961313,
29.99779541882516,
29.99743249824992,
29.997110068709592,
29.996833215110268,
29.99660630359818,
29.996432912702872,
29.996315776901703,
29.996256743495394,
29.99625674347504,
29.996315776839733,
29.996432912596536,
29.996606303442732,
29.99683321489884,
29.997110068432846,
29.997432497895733,
29.997795418378104,
29.998193106402066,
29.99861929018372,
29.999067248542687,
29.999529916898855,
29.99999999868467,
30.000470080415983,
30.000932748606587,
30.00138070668274,
30.001806890053768,
30.002204577524033,
30.002567497289146,
30.00288992584487,
30.003166778248676,
30.003393688310638,
30.003567077448697,
30.00368421112259,
30.003743241956204,
30.003743238868285,
30.00368420175196,
30.00356706147152,
30.003393665176223,
30.00316674716276,
30.002889885745553,
30.002567446814982,
30.002204514973293,
30.001806813333985,
30.001380613249147,
30.000932635387972,
30.000469943726113,
29.999999834117073,
29.99952971920246,
29.99906701147532,
29.99861900633999,
29.998192767011712,
29.99779501307008,
29.997432014422763,
29.997109492350305,
29.996832529190954,
29.99660548808801,
29.996431944063207,
29.99631462750072,
29.99625538093039,
29.996255129788533,
29.996313867613964,
29.99643065590863,
29.996603638660538,
29.99683007129474,
29.99710636359001,
29.997428135877744,
29.997790287629464,
29.998187077342862,
29.998612212457157,
29.999058947869187,
29.999520191484876,
29.99998861512815,
30.000456769043478,
30.000917198169827,
30.00136255833394,
30.00178573051001,
30.00217993132123,
30.002538818015204,
30.002856586229957,
30.003128058977662,
30.00334876540881,
30.003515008077006,
30.003623917602088,
30.00367349382413,
30.003662632749215,
30.00359113880728,
30.003459722168813,
30.003269981097237,
30.003024369543926,
30.00272615041915,
30.002379335191474,
30.00198861067651,
30.001559254070326,
30.001097037460294,
30.00060812320344,
30.00009895169765,
29.99957612318159,
29.999046275283618,
29.99851595809691,
29.99799150858643,
29.99747892613299,
29.996983750990527,
29.996510947375302,
29.996064792820903,
29.995648775322124,
29.995265499656227,
29.99491660411298,
29.994602688688943,
29.994323255608812,
29.994076662830544,
29.99386009097516,
29.993669523899623,
29.99349974290594,
29.993344334355463,
29.993195710237494,
29.9930451410298,
29.992882799989214,
29.99269781782544,
29.992478346545106,
29.992211631107608,
29.9918840874126,
29.991481385042633,
29.990988533116266,
29.990389967566603,
29.989669638150346,
29.988811093512126,
29.987797562678512,
29.986612031435442,
29.98523731215005,
29.98365610573246,
29.981851054592166,
29.979804785625678,
29.97749994247379,
29.974919206505437,
29.972045306217165,
29.96886101497931,
29.965349137307847,
29.961492484091437,
29.957273837451343,
29.952675906154838,
29.947681272735338,
29.942272333691967,
29.93643123434279,
29.930139800087403,
29.92337946599102,
29.916131206732604,
29.908375469059784,
29.90009210896216,
29.891260335810195,
29.88185866570765,
29.87186488627109,
29.861256034980023,
29.85000839313583,
29.83809749732772,
29.825498170130647,
29.812184571555402,
29.798130272536774,
29.783308351484774,
29.767691514639342,
29.75125224066392,
29.73396294959179,
29.715796195904858,
29.69672488518228,
29.67672251340939,
29.655763427691554,
29.633823106776163,
29.610878459454295,
29.586908138595522,
29.561892868269688,
29.53581578113184,
29.508662762995026,
29.480422801293997,
29.451088333954086,
29.420655595026382,
29.38912495333562,
29.356501240312777,
29.32279406315152,
29.288018099437817,
29.25219336945558,
29.215345482468134,
29.17750585341511,
29.13871188664642,
29.09900712353721,
29.058441351088863,
29.01707066891804,
28.97495751236672,
28.9321706298266,
28.888785012758945,
28.84488177730105,
28.800547996779418,
28.75587648489309,
28.71096552978349,
28.665918579665576,
28.62084388115378,
28.57585407187094,
28.53106572937389,
28.486598878862107,
28.442576462549518,
28.399123773972324,
28.35636786087118,
28.31443690062212,
28.27345955249281,
28.23356429126652,
28.194878727002273,
28.157528915883937,
28.12163866725181,
28.087328852004976,
28.05471671761193,
28.023915214968145,
27.995032342293882,
27.968170511172783,
27.94342593969289,
27.920888077467673,
27.900639067087265,
27.882753246281048,
27.867296694764704,
27.85432682940073,
27.843892050923614,
27.83603144507424,
27.830774540554348,
27.828141125757234
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Chemical"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "System State at time t=1000.0000000001588"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
499
],
"title": {
"text": "Bin number"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
27.586849588731972,
32.4126803292372
],
"title": {
"text": "concentration"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.system_snapshot(), y=[\"A\"], \n",
" title= f\"System State at time t={bio.system_time}\",\n",
" color_discrete_sequence = ['red'],\n",
" labels={\"value\":\"concentration\", \"variable\":\"Chemical\", \"index\":\"Bin number\"})\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "67187e34-8ea0-496b-b8d7-0c5085193abf",
"metadata": {},
"source": [
"**Most of the concentration graph is now flat as a board!**"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "236e7aba-1285-498c-a5ff-adfd27cfa137",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" ratio | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 0.333333 | \n",
" | \n",
"
\n",
" \n",
" | 1 | \n",
" 10.0 | \n",
" 0.308391 | \n",
" | \n",
"
\n",
" \n",
" | 2 | \n",
" 20.0 | \n",
" 0.285576 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 30.0 | \n",
" 0.264622 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 40.0 | \n",
" 0.245345 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
" | 96 | \n",
" 960.0 | \n",
" 0.005431 | \n",
" | \n",
"
\n",
" \n",
" | 97 | \n",
" 970.0 | \n",
" 0.005376 | \n",
" | \n",
"
\n",
" \n",
" | 98 | \n",
" 980.0 | \n",
" 0.005324 | \n",
" | \n",
"
\n",
" \n",
" | 99 | \n",
" 990.0 | \n",
" 0.005273 | \n",
" | \n",
"
\n",
" \n",
" | 100 | \n",
" 1000.0 | \n",
" 0.005224 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
101 rows × 3 columns
\n",
"
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100
],
"xaxis": "x",
"y": [
0.3333333333333333,
0.30839073632101904,
0.28557568319701276,
0.2646215880538943,
0.24534456970312632,
0.22759164406192914,
0.21122955805936264,
0.19613992703602864,
0.18221645868553799,
0.16936310377544583,
0.15749269955359407,
0.146525910026842,
0.13639036247308678,
0.12701992309780505,
0.11835407681211127,
0.11033738822507666,
0.10291902804774478,
0.09605235350945543,
0.08969453424872786,
0.08380621707927101,
0.07835122439322635,
0.07329628195136771,
0.06861077254703782,
0.06426651259469404,
0.060237549135354077,
0.056499975103473064,
0.05303176098574827,
0.04981260123800399,
0.04682377402307982,
0.04404801299883207,
0.041469390027112946,
0.03907320779655769,
0.03684590145773389,
0.03477494846146221,
0.032848785872065855,
0.03105673449869755,
0.02938892925112105,
0.027836255182544335,
0.026390288732244086,
0.025043243725595677,
0.023787921729361953,
0.02261766639628664,
0.02152632146563469,
0.020508192115752315,
0.01955800939132119,
0.018670897452071705,
0.017842343411561355,
0.01706816955444927,
0.016344507738716204,
0.015667775805666993,
0.015034655835478894,
0.014442074099655854,
0.01388718257414975,
0.013367341888230078,
0.012880105594516926,
0.012423205655035163,
0.011994539046783218,
0.011592155398204757,
0.011214245575177806,
0.010859131141752845,
0.010525254626926458,
0.010211170534293086,
0.009915537036498123,
0.009637108301083828,
0.009374727398595932,
0.009127319747740044,
0.008893887055979892,
0.008673501717272627,
0.00846530163167126,
0.008268485414310899,
0.008082307963855681,
0.00790607636283608,
0.007739146084467393,
0.007580917482531174,
0.007430832542726975,
0.007288371875586058,
0.0071530519325851945,
0.007024422428524851,
0.006902063954545968,
0.00678558576736845,
0.0066746237414456394,
0.006568838471755898,
0.0064679135158936365,
0.0063715537649949375,
0.006279483933833116,
0.006191447161160982,
0.006107203712054406,
0.0060265297746468095,
0.0059492163442171385,
0.005875068188134157,
0.005803902885650604,
0.005735549936996615,
0.005669849936642821,
0.005606653805990669,
0.005545822081104749,
0.00548722425143414,
0.005430738145773765,
0.005376249361997434,
0.005323650737357091,
0.005272841856380167,
0.005223728593620626
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Freq. 10"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Component of frequency=10, relative to amplitude of constant bias"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
100
],
"title": {
"text": "Time (groups of 10 units)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-0.01300458278080786,
0.3515616447077618
],
"title": {
"text": "ratio"
},
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=10, relative to amplitude of constant bias\",\n",
" color_discrete_sequence = ['green'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 10\", \"index\":\"Time (groups of 10 units)\"})\n",
"fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "bcb1f96b-8f07-4fbd-aaed-55cebe837a84",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 10=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100
],
"xaxis": "x",
"y": [
0.3333333333333333,
0.30839073632101904,
0.28557568319701276,
0.2646215880538943,
0.24534456970312632,
0.22759164406192914,
0.21122955805936264,
0.19613992703602864,
0.18221645868553799,
0.16936310377544583,
0.15749269955359407,
0.146525910026842,
0.13639036247308678,
0.12701992309780505,
0.11835407681211127,
0.11033738822507666,
0.10291902804774478,
0.09605235350945543,
0.08969453424872786,
0.08380621707927101,
0.07835122439322635,
0.07329628195136771,
0.06861077254703782,
0.06426651259469404,
0.060237549135354077,
0.056499975103473064,
0.05303176098574827,
0.04981260123800399,
0.04682377402307982,
0.04404801299883207,
0.041469390027112946,
0.03907320779655769,
0.03684590145773389,
0.03477494846146221,
0.032848785872065855,
0.03105673449869755,
0.02938892925112105,
0.027836255182544335,
0.026390288732244086,
0.025043243725595677,
0.023787921729361953,
0.02261766639628664,
0.02152632146563469,
0.020508192115752315,
0.01955800939132119,
0.018670897452071705,
0.017842343411561355,
0.01706816955444927,
0.016344507738716204,
0.015667775805666993,
0.015034655835478894,
0.014442074099655854,
0.01388718257414975,
0.013367341888230078,
0.012880105594516926,
0.012423205655035163,
0.011994539046783218,
0.011592155398204757,
0.011214245575177806,
0.010859131141752845,
0.010525254626926458,
0.010211170534293086,
0.009915537036498123,
0.009637108301083828,
0.009374727398595932,
0.009127319747740044,
0.008893887055979892,
0.008673501717272627,
0.00846530163167126,
0.008268485414310899,
0.008082307963855681,
0.00790607636283608,
0.007739146084467393,
0.007580917482531174,
0.007430832542726975,
0.007288371875586058,
0.0071530519325851945,
0.007024422428524851,
0.006902063954545968,
0.00678558576736845,
0.0066746237414456394,
0.006568838471755898,
0.0064679135158936365,
0.0063715537649949375,
0.006279483933833116,
0.006191447161160982,
0.006107203712054406,
0.0060265297746468095,
0.0059492163442171385,
0.005875068188134157,
0.005803902885650604,
0.005735549936996615,
0.005669849936642821,
0.005606653805990669,
0.005545822081104749,
0.00548722425143414,
0.005430738145773765,
0.005376249361997434,
0.005323650737357091,
0.005272841856380167,
0.005223728593620626
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Freq. 10"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Component of frequency=10, relative to amplitude of constant bias (log scale in y-axis)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
100
],
"title": {
"text": "Time (groups of 10 units)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-2.382291514479931,
-0.37684913578491147
],
"title": {
"text": "ratio"
},
"type": "log"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = px.line(data_frame=bio.get_history(), y=[\"ratio\"], \n",
" title= \"Component of frequency=10, relative to amplitude of constant bias (log scale in y-axis)\",\n",
" color_discrete_sequence = ['green'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 10\", \"index\":\"Time (groups of 10 units)\"},\n",
" log_y=True)\n",
"fig.show()"
]
},
{
"cell_type": "markdown",
"id": "c5e7fe6a-5062-4416-8ef3-8bdbca1961dd",
"metadata": {},
"source": [
"### Resurrect the earlier plot for frequency=2 (using a saved dataset)\n",
"### and then superpose them"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "1381c94b-9780-412b-8f4c-6f5cf1cec4b9",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 2=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "purple",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"showlegend": true,
"type": "scattergl",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499,
500,
501,
502,
503,
504,
505,
506,
507,
508,
509,
510,
511,
512,
513,
514,
515,
516,
517,
518,
519,
520,
521,
522,
523,
524,
525,
526,
527,
528,
529,
530,
531,
532,
533,
534,
535,
536,
537,
538,
539,
540,
541,
542,
543,
544,
545,
546,
547,
548,
549,
550,
551,
552,
553,
554,
555,
556,
557,
558,
559,
560,
561,
562,
563,
564,
565,
566,
567,
568,
569,
570,
571,
572,
573,
574,
575,
576,
577,
578,
579,
580,
581,
582,
583,
584,
585,
586,
587,
588,
589,
590,
591,
592,
593,
594,
595,
596,
597,
598,
599,
600,
601,
602,
603,
604,
605,
606,
607,
608,
609,
610,
611,
612,
613,
614,
615,
616,
617,
618,
619,
620,
621,
622,
623,
624,
625,
626,
627,
628,
629,
630,
631,
632,
633,
634,
635,
636,
637,
638,
639,
640,
641,
642,
643,
644,
645,
646,
647,
648,
649,
650,
651,
652,
653,
654,
655,
656,
657,
658,
659,
660,
661,
662,
663,
664,
665,
666,
667,
668,
669,
670,
671,
672,
673,
674,
675,
676,
677,
678,
679,
680,
681,
682,
683,
684,
685,
686,
687,
688,
689,
690,
691,
692,
693,
694,
695,
696,
697,
698,
699,
700,
701,
702,
703,
704,
705,
706,
707,
708,
709,
710,
711,
712,
713,
714,
715,
716,
717,
718,
719,
720,
721,
722,
723,
724,
725,
726,
727,
728,
729,
730,
731,
732,
733,
734,
735,
736,
737,
738,
739,
740,
741,
742,
743,
744,
745,
746,
747,
748,
749,
750,
751,
752,
753,
754,
755,
756,
757,
758,
759,
760,
761,
762,
763,
764,
765,
766,
767,
768,
769,
770,
771,
772,
773,
774,
775,
776,
777,
778,
779,
780,
781,
782,
783,
784,
785,
786,
787,
788,
789,
790,
791,
792,
793,
794,
795,
796,
797,
798,
799,
800,
801,
802,
803,
804,
805,
806,
807,
808,
809,
810,
811,
812,
813,
814,
815,
816,
817,
818,
819,
820,
821,
822,
823,
824,
825,
826,
827,
828,
829,
830,
831,
832,
833,
834,
835,
836,
837,
838,
839,
840,
841,
842,
843,
844,
845,
846,
847,
848,
849,
850,
851,
852,
853,
854,
855,
856,
857,
858,
859,
860,
861,
862,
863,
864,
865,
866,
867,
868,
869,
870,
871,
872,
873,
874,
875,
876,
877,
878,
879,
880,
881,
882,
883,
884,
885,
886,
887,
888,
889,
890,
891,
892,
893,
894,
895,
896,
897,
898,
899,
900,
901,
902,
903,
904,
905,
906,
907,
908,
909,
910,
911,
912,
913,
914,
915,
916,
917,
918,
919,
920,
921,
922,
923,
924,
925,
926,
927,
928,
929,
930,
931,
932,
933,
934,
935,
936,
937,
938,
939,
940,
941,
942,
943,
944,
945,
946,
947,
948,
949,
950,
951,
952,
953,
954,
955,
956,
957,
958,
959,
960,
961,
962,
963,
964,
965,
966,
967,
968,
969,
970,
971,
972,
973,
974,
975,
976,
977,
978,
979,
980,
981,
982,
983,
984,
985,
986,
987,
988,
989,
990,
991,
992,
993,
994,
995,
996,
997,
998,
999,
1000
],
"xaxis": "x",
"y": [
0.3333333333333333,
0.33229687657832013,
0.33127505940246393,
0.3302639494810557,
0.3292620556172948,
0.3282684966544098,
0.3272826664451653,
0.32630411177666463,
0.3253324751943875,
0.3243674640487063,
0.32340883204062837,
0.32245636742782763,
0.32150988507949846,
0.320569220897644,
0.31963422776659867,
0.31870477252968366,
0.3177807336794705,
0.3168619995579014,
0.31594846692952133,
0.31504003983347806,
0.31413662864761505,
0.31323814931653576,
0.31234452270825497,
0.3114556740729803,
0.31057153258394904,
0.30969203094487885,
0.3088171050520108,
0.30794669370128047,
0.3070807383330906,
0.3062191828086434,
0.3053619732129406,
0.3045090576804572,
0.30366038624020786,
0.3028159106774881,
0.30197558441002453,
0.301139362376638,
0.3003072009368191,
0.2994790577798618,
0.29865489184239835,
0.2978346632333524,
0.29701833316545667,
0.2962058638926085,
0.29539721865242385,
0.2945923616134432,
0.29379125782650434,
0.292993873179862,
0.29220017435768636,
0.2914101288016101,
0.29062370467503984,
0.28984087082997484,
0.2890615967761059,
0.2882858468173719,
0.28751359762451434,
0.2867448205120304,
0.2859794873477265,
0.2852175705305735,
0.2844590429699061,
0.28370387806586206,
0.2829520496909642,
0.2822035321727594,
0.2814583002774346,
0.2807163291943383,
0.279977594521343,
0.27924207225098835,
0.27850973875735063,
0.27778057078358853,
0.2770545454301196,
0.2763316401433861,
0.2756118327051713,
0.27489510122242977,
0.2741814241176011,
0.2734707801193751,
0.272763148253881,
0.2720585078362764,
0.2713568384627096,
0.2706581200026351,
0.26996233259146185,
0.26926945662351326,
0.268579472745284,
0.26789236184897447,
0.26720810506629017,
0.2665266837624889,
0.26584807953066536,
0.26517227418625783,
0.26449924976176725,
0.26382898850167724,
0.26316147285756464,
0.2624966854833908,
0.2618346092309651,
0.2611752271455722,
0.26051852246175466,
0.2598644785992439,
0.2592130791590325,
0.25856430791958074,
0.2579181488331516,
0.2572745860222686,
0.2566336037762896,
0.2559951865480936,
0.25535931895087377,
0.2547259857550315,
0.2540951718851703,
0.2534668624171811,
0.2528410425754185,
0.252217697729962,
0.25159681339396006,
0.25097837522105226,
0.2503623690028683,
0.24974878066659797,
0.24913759627263282,
0.2485288020122728,
0.24792238420549886,
0.24731832929880693,
0.2467166238631006,
0.24611725459164266,
0.24552020829806026,
0.2449254719144045,
0.2443330324892595,
0.2437428771859026,
0.2431549932805107,
0.24256936816041297,
0.24198598932238735,
0.24140484437100035,
0.24082592101698744,
0.2402492070756731,
0.23967469046542944,
0.23910235920617243,
0.23853220141789286,
0.2379642053192226,
0.23739835922603472,
0.23683465155007485,
0.23627307079762527,
0.23571360556819843,
0.23515624455325998,
0.23460097653498072,
0.23404779038501553,
0.23349667506330962,
0.2329476196169301,
0.2324006131789227,
0.23185564496719357,
0.2313127042834138,
0.23077178051194736,
0.2302328631188008,
0.22969594165059534,
0.22916100573355935,
0.2286280450725409,
0.22809704945004075,
0.22756800872526428,
0.2270409128331921,
0.2265157517836685,
0.22599251566050807,
0.22547119462061951,
0.224951778893145,
0.22443425877861772,
0.22391862464813345,
0.22340486694253833,
0.22289297617163195,
0.22238294291338398,
0.22187475781316596,
0.2213684115829965,
0.22086389500080014,
0.220361198909679,
0.21986031421719768,
0.21936123189468038,
0.21886394297652037,
0.21836843855950086,
0.2178747098021285,
0.21738274792397644,
0.2168925442050406,
0.2164040899851046,
0.2159173766631169,
0.21543239569657657,
0.21494913860093098,
0.2144675969489813,
0.21398776237029904,
0.21350962655065084,
0.2130331812314335,
0.21255841820911656,
0.21208532933469487,
0.211613906513149,
0.21114414170291376,
0.21067602691535534,
0.2102095542142568,
0.20974471571530962,
0.20928150358561484,
0.2088199100431908,
0.2083599273564878,
0.20790154784391054,
0.20744476387334723,
0.2069895678617055,
0.20653595227445515,
0.2060839096251775,
0.20563343247512078,
0.2051845134327621,
0.2047371451533759,
0.20429132033860747,
0.20384703173605367,
0.203404272138848,
0.20296303438525282,
0.20252331135825577,
0.20208509598517294,
0.2016483812372561,
0.20121313287003195,
0.20077937145377456,
0.20034709008690854,
0.19991628191030497,
0.19948694010691267,
0.19905905790139683,
0.19863262855978042,
0.19820764538909125,
0.19778410173701327,
0.19736199099154184,
0.1969413065806438,
0.19652204197192236,
0.19610419067228463,
0.19568774622761503,
0.1952727022224513,
0.19485905227966546,
0.19444679006014826,
0.1940359092624972,
0.19362640362270891,
0.19321826691387517,
0.19281149294588162,
0.1924060755651113,
0.19200200865415118,
0.19159928613150157,
0.19119790195129022,
0.19079785010298855,
0.19039912461113143,
0.19000171953504094,
0.18960562896855235,
0.18921084703974356,
0.18881736791066778,
0.1884251857770893,
0.18803429486822157,
0.18764468944646898,
0.18725636380717126,
0.18686931227835032,
0.18648352922046052,
0.18609900902614135,
0.1857157461199723,
0.18533373495823185,
0.18495297002865724,
0.1845734458502082,
0.18419515697283262,
0.18381809797723478,
0.18344226347464593,
0.18306764810659784,
0.18269424654469787,
0.18232205349040717,
0.18195106367482064,
0.1815812718584498,
0.18121267283100667,
0.18084526141119198,
0.18047903244648292,
0.18011398081292548,
0.17975010141492703,
0.1793873891850524,
0.17902583908382094,
0.1786654460995063,
0.17830620524793808,
0.1779481115723049,
0.17759116014296045,
0.1772353460572304,
0.1768806644392219,
0.17652711043963465,
0.17617467923557378,
0.17582336603036472,
0.17547316605336988,
0.1751240745598067,
0.17477608683056786,
0.1744291981720432,
0.17408340391594285,
0.17373869941912282,
0.1733950800634113,
0.17305254125543768,
0.17271107842646177,
0.17237068703220623,
0.17203136255268925,
0.17169310049205921,
0.17135589637843138,
0.17101974576372514,
0.17068464422350357,
0.1703505873568138,
0.1700175707860295,
0.16968559015669424,
0.16935464113736645,
0.1690247194194658,
0.16869582071712094,
0.1683679407670188,
0.16804107532825455,
0.1677152201821837,
0.1673903711322754,
0.16706652400396615,
0.166743674644516,
0.16642181892286503,
0.16610095272949196,
0.16578107197627318,
0.1654621725963432,
0.16514425054395696,
0.16482730179435232,
0.1645113223436145,
0.16419630820854123,
0.1638822554265092,
0.16356916005534175,
0.16325701817317756,
0.16294582587834033,
0.16263557928920983,
0.16232627454409387,
0.16201790780110123,
0.16171047523801596,
0.16140397305217224,
0.16109839746033103,
0.16079374469855673,
0.16049001102209576,
0.16018719270525572,
0.15988528604128543,
0.1595842873422563,
0.15928419293894436,
0.15898499918071338,
0.1586867024353989,
0.1583892990891932,
0.15809278554653117,
0.15779715822997714,
0.1575024135801127,
0.1572085480554251,
0.15691555813219682,
0.15662344030439604,
0.1563321910835677,
0.1560418069987256,
0.1557522845962455,
0.15546362043975884,
0.15517581111004705,
0.15488885320493742,
0.1546027433391989,
0.15431747814443955,
0.15403305426900393,
0.15374946837787198,
0.15346671715255858,
0.1531847972910133,
0.1529037055075216,
0.15262343853260643,
0.1523439931129306,
0.15206536601120021,
0.15178755400606825,
0.15151055389203927,
0.15123436247937497,
0.15095897659400004,
0.15068439307740877,
0.15041060878657303,
0.1501376205938498,
0.14986542538689054,
0.14959402006855013,
0.14932340155679774,
0.1490535667846269,
0.14878451269996756,
0.1485162362655982,
0.14824873445905817,
0.14798200427256172,
0.14771604271291153,
0.1474508468014136,
0.1471864135737927,
0.14692274008010814,
0.14665982338467035,
0.14639766056595774,
0.1461362487165349,
0.14587558494297062,
0.14561566636575674,
0.14535649011922774,
0.14509805335148088,
0.14484035322429653,
0.14458338691305977,
0.14432715160668175,
0.14407164450752233,
0.14381686283131237,
0.14356280380707787,
0.14330946467706343,
0.1430568426966567,
0.14280493513431364,
0.14255373927148374,
0.14230325240253622,
0.1420534718346866,
0.14180439488792362,
0.1415560188949369,
0.14130834120104516,
0.14106135916412438,
0.1408150701545373,
0.14056947155506241,
0.1403245607608249,
0.140080335179226,
0.1398367922298749,
0.13959392934451972,
0.13935174396697947,
0.13911023355307653,
0.1388693955705697,
0.13862922749908688,
0.1383897268300595,
0.1381508910666562,
0.13791271772371774,
0.13767520432769212,
0.1374383484165696,
0.1372021475398194,
0.13696659925832547,
0.13673170114432345,
0.13649745078133801,
0.13626384576412032,
0.13603088369858618,
0.13579856220175449,
0.13556687890168598,
0.13533583143742264,
0.13510541745892735,
0.13487563462702382,
0.13464648061333717,
0.1344179531002348,
0.13419004978076746,
0.13396276835861104,
0.13373610654800847,
0.13351006207371213,
0.13328463267092663,
0.13305981608525186,
0.13283561007262662,
0.13261201239927217,
0.1323890208416369,
0.1321666331863405,
0.1319448472301191,
0.1317236607797706,
0.13150307165210012,
0.13128307767386627,
0.13106367668172708,
0.13084486652218713,
0.1306266450515442,
0.13040901013583692,
0.13019195965079222,
0.12997549148177348,
0.12975960352372892,
0.12954429368114012,
0.12932955986797115,
0.12911540000761795,
0.12890181203285772,
0.1286887938857992,
0.12847634351783271,
0.12826445888958088,
0.12805313797084944,
0.1278423787405785,
0.12763217918679406,
0.12742253730655972,
0.127213451105929,
0.1270049185998975,
0.12679693781235576,
0.12658950677604225,
0.12638262353249669,
0.1261762861320134,
0.1259704926335955,
0.1257652411049089,
0.1255605296222366,
0.12535635627043368,
0.1251527191428821,
0.12494961634144601,
0.12474704597642727,
0.12454500616652142,
0.12434349503877352,
0.12414251072853469,
0.12394205137941856,
0.12374211514325838,
0.12354270018006396,
0.12334380465797916,
0.12314542675323963,
0.12294756465013051,
0.12275021654094491,
0.12255338062594194,
0.12235705511330587,
0.1221612382191046,
0.12196592816724912,
0.12177112318945288,
0.12157682152519134,
0.12138302142166199,
0.12118972113374452,
0.12099691892396103,
0.12080461306243682,
0.12061280182686121,
0.12042148350244865,
0.12023065638189982,
0.12004031876536356,
0.11985046896039829,
0.11966110528193426,
0.11947222605223569,
0.11928382960086324,
0.1190959142646366,
0.11890847838759755,
0.11872152032097288,
0.11853503842313796,
0.11834903105958001,
0.11816349660286217,
0.11797843343258718,
0.11779383993536177,
0.11760971450476099,
0.11742605554129282,
0.11724286145236287,
0.11706013065223975,
0.11687786156201978,
0.1166960526095928,
0.11651470222960768,
0.11633380886343815,
0.11615337095914872,
0.11597338697146117,
0.11579385536172067,
0.11561477459786249,
0.11543614315437897,
0.11525795951228625,
0.11508022215909165,
0.11490292958876093,
0.1147260803016859,
0.1145496728046523,
0.11437370561080745,
0.11419817723962856,
0.11402308621689115,
0.11384843107463723,
0.11367421035114411,
0.11350042259089338,
0.11332706634453973,
0.1131541401688803,
0.11298164262682388,
0.11280957228736067,
0.11263792772553184,
0.11246670752239951,
0.11229591026501672,
0.11212553454639783,
0.11195557896548873,
0.11178604212713766,
0.11161692264206562,
0.11144821912683758,
0.11127993020383337,
0.11111205450121896,
0.11094459065291794,
0.11077753729858288,
0.11061089308356721,
0.11044465665889709,
0.11027882668124325,
0.11011340181289353,
0.10994838072172486,
0.10978376208117596,
0.10961954457022005,
0.1094557268733374,
0.1092923076804886,
0.1091292856870874,
0.1089666595939742,
0.10880442810738924,
0.10864258993894628,
0.10848114380560646,
0.10832008842965181,
0.10815942253865941,
0.10799914486547556,
0.1078392541481901,
0.10767974913011079,
0.10752062855973775,
0.10736189119073833,
0.107203535781922,
0.10704556109721507,
0.10688796590563611,
0.10673074898127098,
0.10657390910324857,
0.1064174450557158,
0.10626135562781377,
0.1061056396136534,
0.10595029581229116,
0.10579532302770556,
0.10564072006877288,
0.10548648574924395,
0.1053326188877201,
0.1051791183076302,
0.10502598283720734,
0.1048732113094651,
0.10472080256217543,
0.10456875543784498,
0.10441706878369268,
0.10426574145162688,
0.10411477229822312,
0.10396416018470149,
0.10381390397690417,
0.10366400254527362,
0.10351445476483051,
0.10336525951515146,
0.10321641568034746,
0.10306792214904219,
0.10291977781435033,
0.1027719815738562,
0.10262453232959244,
0.10247742898801854,
0.10233067046000008,
0.10218425566078737,
0.10203818350999493,
0.10189245293158045,
0.10174706285382414,
0.10160201220930827,
0.10145729993489674,
0.1013129249717147,
0.10116888626512825,
0.10102518276472434,
0.10088181342429108,
0.10073877720179727,
0.10059607305937308,
0.10045369996329015,
0.10031165688394207,
0.10016994279582478,
0.10002855667751742,
0.09988749751166277,
0.09974676428494844,
0.09960635598808734,
0.09946627161579917,
0.09932651016679114,
0.09918707064373963,
0.09904795205327116,
0.09890915340594404,
0.0987706737162297,
0.09863251200249458,
0.09849466728698159,
0.0983571385957921,
0.0982199249588678,
0.09808302540997284,
0.09794643898667557,
0.09781016473033116,
0.09767420168606372,
0.09753854890274868,
0.09740320543299522,
0.09726817033312894,
0.09713344266317446,
0.09699902148683832,
0.09686490587149157,
0.09673109488815296,
0.09659758761147166,
0.09646438311971084,
0.09633148049473034,
0.09619887882197042,
0.0960665771904348,
0.0959345746926743,
0.09580287042477041,
0.09567146348631875,
0.09554035298041297,
0.09540953801362846,
0.09527901769600643,
0.09514879114103744,
0.09501885746564602,
0.09488921579017438,
0.09475986523836691,
0.09463080493735415,
0.09450203401763765,
0.09437355161307406,
0.09424535686085976,
0.0941174489015156,
0.09398982687887149,
0.09386248994005128,
0.09373543723545752,
0.09360866791875647,
0.09348218114686307,
0.09335597607992621,
0.09323005188131359,
0.09310440771759729,
0.09297904275853895,
0.09285395617707512,
0.09272914714930285,
0.09260461485446517,
0.09248035847493676,
0.09235637719620964,
0.09223267020687886,
0.09210923669862864,
0.09198607586621776,
0.09186318690746612,
0.09174056902324046,
0.09161822141744057,
0.09149614329698559,
0.09137433387180001,
0.09125279235480051,
0.0911315179618818,
0.09101050991190364,
0.09088976742667687,
0.09076928973095057,
0.09064907605239823,
0.09052912562160503,
0.0904094376720542,
0.09029001144011417,
0.09017084616502546,
0.09005194108888785,
0.08993329545664716,
0.08981490851608266,
0.08969677951779431,
0.08957890771518974,
0.08946129236447206,
0.08934393272462697,
0.08922682805741024,
0.08910997762733544,
0.08899338070166131,
0.08887703655037958,
0.08876094444620274,
0.08864510366455165,
0.08852951348354361,
0.08841417318398011,
0.08829908204933494,
0.0881842393657421,
0.08806964442198387,
0.08795529650947925,
0.08784119492227187,
0.08772733895701831,
0.08761372791297672,
0.0875003610919947,
0.08738723779849832,
0.08727435733948015,
0.08716171902448819,
0.08704932216561426,
0.08693716607748278,
0.08682525007723953,
0.08671357348454033,
0.08660213562154,
0.08649093581288132,
0.08637997338568379,
0.0862692476695328,
0.08615875799646872,
0.08604850370097587,
0.08593848411997194,
0.08582869859279703,
0.08571914646120297,
0.08560982706934263,
0.08550073976375965,
0.08539188389337728,
0.08528325880948835,
0.08517486386574484,
0.08506669841814704,
0.08495876182503376,
0.08485105344707158,
0.08474357264724494,
0.08463631879084571,
0.0845292912454633,
0.08442248938097424,
0.08431591256953248,
0.08420956018555913,
0.08410343160573266,
0.08399752620897902,
0.0838918433764617,
0.08378638249157205,
0.08368114293991948,
0.08357612410932169,
0.08347132538979514,
0.08336674617354536,
0.08326238585495746,
0.08315824383058662,
0.08305431949914849,
0.08295061226151,
0.0828471215206799,
0.08274384668179918,
0.08264078715213236,
0.08253794234105777,
0.08243531166005845,
0.08233289452271321,
0.08223069034468732,
0.08212869854372358,
0.08202691853963327,
0.08192534975428724,
0.08182399161160687,
0.08172284353755528,
0.08162190496012858,
0.08152117530934684,
0.08142065401724569,
0.08132034051786718,
0.08122023424725161,
0.08112033464342851,
0.08102064114640821,
0.08092115319817342,
0.08082187024267054,
0.08072279172580131,
0.08062391709541444,
0.08052524580129712,
0.08042677729516684,
0.0803285110306629,
0.08023044646333839,
0.08013258305065189,
0.08003492025195917,
0.07993745752850533,
0.07984019434341641,
0.07974313016169168,
0.07964626445019522,
0.07954959667764834,
0.07945312631462143,
0.079356852833526,
0.07926077570860716,
0.07916489441593534,
0.07906920843339894,
0.0789737172406963,
0.07887842031932803,
0.07878331715258959,
0.0786884072255632,
0.07859369002511075,
0.07849916503986581,
0.0784048317602265,
0.07831068967834762,
0.07821673828813357,
0.0781229770852306,
0.07802940556701965,
0.07793602323260893,
0.07784282958282662,
0.07774982412021364,
0.07765700634901634,
0.07756437577517936,
0.07747193190633836,
0.07737967425181315,
0.07728760232260022,
0.07719571563136587,
0.07710401369243929,
0.07701249602180532,
0.07692116213709768,
0.07683001155759196,
0.07673904380419865,
0.07664825839945644,
0.07655765486752526,
0.07646723273417959,
0.07637699152680145,
0.07628693077437407,
0.07619705000747479,
0.07610734875826856,
0.07601782656050139,
0.07592848294949373,
0.07583931746213349,
0.07575032963687013,
0.07566151901370768,
0.07557288513419849,
0.07548442754143668,
0.07539614578005174,
0.07530803939620216,
0.07522010793756904,
0.07513235095334977,
0.07504476799425171,
0.074957358612486,
0.07487012236176117,
0.07478305879727716,
0.07469616747571886,
0.07460944795525025,
0.07452289979550795,
0.07443652255759545,
0.07435031580407687,
0.07426427909897085,
0.07417841200774479,
0.07409271409730865,
0.07400718493600902,
0.07392182409362336,
0.0738366311413539,
0.07375160565182194,
0.07366674719906192,
0.07358205535851557,
0.07349752970702628,
0.07341316982283311,
0.07332897528556538,
0.07324494567623649,
0.07316108057723886,
0.07307737957233766,
0.07299384224666577,
0.07291046818671762,
0.07282725698034398,
0.07274420821674643,
0.07266132148647161,
0.07257859638140589,
0.07249603249476987,
0.07241362942111289,
0.07233138675630772,
0.0722493040975451,
0.07216738104332834,
0.07208561719346804,
0.07200401214907669,
0.0719225655125636,
0.07184127688762938,
0.07176014587926073,
0.07167917209372533,
0.07159835513856674,
0.07151769462259888,
0.07143719015590122,
0.0713568413498136,
0.07127664781693097,
0.07119660917109834,
0.07111672502740608,
0.07103699500218445,
0.07095741871299872,
0.07087799577864434,
0.0707987258191419,
0.0707196084557321,
0.0706406433108711,
0.07056183000822513,
0.07048316817266627,
0.0704046574302672,
0.07032629740829646,
0.07024808773521357,
0.07017002804066448,
0.07009211795547657,
0.07001435711165417,
0.06993674514237357,
0.0698592816819786,
0.06978196636597572,
0.0697047988310296,
0.06962777871495834,
0.06955090565672888,
0.06947417929645253,
0.06939759927538033,
0.06932116523589849,
0.06924487682152387,
0.06916873367689967,
0.06909273544779061,
0.06901688178107881,
0.06894117232475919,
0.06886560672793499,
0.06879018464081346,
0.06871490571470162,
0.0686397696020017,
0.06856477595620682,
0.06848992443189687,
0.06841521468473397,
0.06834064637145838,
0.06826621914988402,
0.06819193267889463,
0.06811778661843913,
0.06804378062952764,
0.06796991437422731,
0.06789618751565803,
0.06782259971798846,
0.06774915064643183,
0.06767583996724182,
0.06760266734770834,
0.06752963245615387,
0.06745673496192901,
0.0673839745354087,
0.06731135084798796,
0.06723886357207817,
0.06716651238110292,
0.0670942969494942,
0.0670222169526883,
0.06695027206712195,
0.06687846197022852,
0.06680678634043401,
0.0667352448571532,
0.0666638372007859,
0.06659256305271304,
0.06652142209529277,
0.06645041401185688,
0.0663795384867068,
0.06630879520511003,
0.06623818385329629,
0.06616770411845371,
0.06609735568872538,
0.06602713825320537,
0.06595705150193519,
0.0658870951259001,
0.06581726881702564,
0.06574757226817358,
0.0656780051731388,
0.06560856722664535,
0.06553925812434296,
0.0654700775628036,
0.06540102523951778,
0.06533210085289108,
0.06526330410224065,
0.06519463468779169,
0.06512609231067391,
0.06505767667291822,
0.06498938747745307,
0.06492122442810122,
0.06485318722957616,
0.06478527558747885,
0.06471748920829411,
0.06464982779938748,
0.06458229106900171,
0.06451487872625349,
0.0644475904811301,
0.06438042604448606,
0.06431338512803987,
0.06424646744437072,
0.06417967270691523,
0.06411300062996415,
0.0640464509286591,
0.06398002331898948,
0.06391371751778908,
0.06384753324273303,
0.06378147021233449,
0.06371552814594156,
0.06364970676373415,
0.06358400578672069,
0.06351842493673515,
0.063452963936434,
0.06338762250929277,
0.06332240037960335,
0.0632572972724707,
0.0631923129138098,
0.0631274470303427,
0.0630626993495954,
0.06299806959989487,
0.06293355751036607,
0.06286916281092887,
0.06280488523229519,
0.06274072450596595,
0.06267668036422806,
0.06261275254015176,
0.06254894076758724,
0.06248524478116221,
0.06242166431627863,
0.062358199109110064,
0.06229484889659861,
0.06223161341645217,
0.0621684924071416
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"legend": {
"title": {
"text": "Freq. 2"
},
"tracegroupgap": 0
},
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Component of frequency=2, relative to amplitude of constant bias (log scale in y-axis)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
1000
],
"title": {
"text": "Time (groups of 10 units)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-1.2469467980533255,
-0.43660412085999595
],
"title": {
"text": "ratio"
},
"type": "log"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig_2 = px.line(data_frame=saved_freq_2_df, y=[\"ratio\"], \n",
" title= \"Component of frequency=2, relative to amplitude of constant bias (log scale in y-axis)\",\n",
" color_discrete_sequence = ['purple'],\n",
" labels={\"value\":\"ratio\", \"variable\":\"Freq. 2\", \"index\":\"Time (groups of 10 units)\"},\n",
" log_y=True)\n",
"fig_2.show()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "c78305c0-ef96-4ae1-8127-f0de49c20cc9",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Freq. 10=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "green",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"orientation": "v",
"showlegend": true,
"type": "scatter",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100
],
"xaxis": "x",
"y": [
0.3333333333333333,
0.30839073632101904,
0.28557568319701276,
0.2646215880538943,
0.24534456970312632,
0.22759164406192914,
0.21122955805936264,
0.19613992703602864,
0.18221645868553799,
0.16936310377544583,
0.15749269955359407,
0.146525910026842,
0.13639036247308678,
0.12701992309780505,
0.11835407681211127,
0.11033738822507666,
0.10291902804774478,
0.09605235350945543,
0.08969453424872786,
0.08380621707927101,
0.07835122439322635,
0.07329628195136771,
0.06861077254703782,
0.06426651259469404,
0.060237549135354077,
0.056499975103473064,
0.05303176098574827,
0.04981260123800399,
0.04682377402307982,
0.04404801299883207,
0.041469390027112946,
0.03907320779655769,
0.03684590145773389,
0.03477494846146221,
0.032848785872065855,
0.03105673449869755,
0.02938892925112105,
0.027836255182544335,
0.026390288732244086,
0.025043243725595677,
0.023787921729361953,
0.02261766639628664,
0.02152632146563469,
0.020508192115752315,
0.01955800939132119,
0.018670897452071705,
0.017842343411561355,
0.01706816955444927,
0.016344507738716204,
0.015667775805666993,
0.015034655835478894,
0.014442074099655854,
0.01388718257414975,
0.013367341888230078,
0.012880105594516926,
0.012423205655035163,
0.011994539046783218,
0.011592155398204757,
0.011214245575177806,
0.010859131141752845,
0.010525254626926458,
0.010211170534293086,
0.009915537036498123,
0.009637108301083828,
0.009374727398595932,
0.009127319747740044,
0.008893887055979892,
0.008673501717272627,
0.00846530163167126,
0.008268485414310899,
0.008082307963855681,
0.00790607636283608,
0.007739146084467393,
0.007580917482531174,
0.007430832542726975,
0.007288371875586058,
0.0071530519325851945,
0.007024422428524851,
0.006902063954545968,
0.00678558576736845,
0.0066746237414456394,
0.006568838471755898,
0.0064679135158936365,
0.0063715537649949375,
0.006279483933833116,
0.006191447161160982,
0.006107203712054406,
0.0060265297746468095,
0.0059492163442171385,
0.005875068188134157,
0.005803902885650604,
0.005735549936996615,
0.005669849936642821,
0.005606653805990669,
0.005545822081104749,
0.00548722425143414,
0.005430738145773765,
0.005376249361997434,
0.005323650737357091,
0.005272841856380167,
0.005223728593620626
],
"yaxis": "y"
},
{
"hovertemplate": "Freq. 2=ratio
Time (groups of 10 units)=%{x}
ratio=%{y}",
"legendgroup": "ratio",
"line": {
"color": "purple",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "ratio",
"showlegend": true,
"type": "scattergl",
"x": [
0,
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30,
31,
32,
33,
34,
35,
36,
37,
38,
39,
40,
41,
42,
43,
44,
45,
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
59,
60,
61,
62,
63,
64,
65,
66,
67,
68,
69,
70,
71,
72,
73,
74,
75,
76,
77,
78,
79,
80,
81,
82,
83,
84,
85,
86,
87,
88,
89,
90,
91,
92,
93,
94,
95,
96,
97,
98,
99,
100,
101,
102,
103,
104,
105,
106,
107,
108,
109,
110,
111,
112,
113,
114,
115,
116,
117,
118,
119,
120,
121,
122,
123,
124,
125,
126,
127,
128,
129,
130,
131,
132,
133,
134,
135,
136,
137,
138,
139,
140,
141,
142,
143,
144,
145,
146,
147,
148,
149,
150,
151,
152,
153,
154,
155,
156,
157,
158,
159,
160,
161,
162,
163,
164,
165,
166,
167,
168,
169,
170,
171,
172,
173,
174,
175,
176,
177,
178,
179,
180,
181,
182,
183,
184,
185,
186,
187,
188,
189,
190,
191,
192,
193,
194,
195,
196,
197,
198,
199,
200,
201,
202,
203,
204,
205,
206,
207,
208,
209,
210,
211,
212,
213,
214,
215,
216,
217,
218,
219,
220,
221,
222,
223,
224,
225,
226,
227,
228,
229,
230,
231,
232,
233,
234,
235,
236,
237,
238,
239,
240,
241,
242,
243,
244,
245,
246,
247,
248,
249,
250,
251,
252,
253,
254,
255,
256,
257,
258,
259,
260,
261,
262,
263,
264,
265,
266,
267,
268,
269,
270,
271,
272,
273,
274,
275,
276,
277,
278,
279,
280,
281,
282,
283,
284,
285,
286,
287,
288,
289,
290,
291,
292,
293,
294,
295,
296,
297,
298,
299,
300,
301,
302,
303,
304,
305,
306,
307,
308,
309,
310,
311,
312,
313,
314,
315,
316,
317,
318,
319,
320,
321,
322,
323,
324,
325,
326,
327,
328,
329,
330,
331,
332,
333,
334,
335,
336,
337,
338,
339,
340,
341,
342,
343,
344,
345,
346,
347,
348,
349,
350,
351,
352,
353,
354,
355,
356,
357,
358,
359,
360,
361,
362,
363,
364,
365,
366,
367,
368,
369,
370,
371,
372,
373,
374,
375,
376,
377,
378,
379,
380,
381,
382,
383,
384,
385,
386,
387,
388,
389,
390,
391,
392,
393,
394,
395,
396,
397,
398,
399,
400,
401,
402,
403,
404,
405,
406,
407,
408,
409,
410,
411,
412,
413,
414,
415,
416,
417,
418,
419,
420,
421,
422,
423,
424,
425,
426,
427,
428,
429,
430,
431,
432,
433,
434,
435,
436,
437,
438,
439,
440,
441,
442,
443,
444,
445,
446,
447,
448,
449,
450,
451,
452,
453,
454,
455,
456,
457,
458,
459,
460,
461,
462,
463,
464,
465,
466,
467,
468,
469,
470,
471,
472,
473,
474,
475,
476,
477,
478,
479,
480,
481,
482,
483,
484,
485,
486,
487,
488,
489,
490,
491,
492,
493,
494,
495,
496,
497,
498,
499,
500,
501,
502,
503,
504,
505,
506,
507,
508,
509,
510,
511,
512,
513,
514,
515,
516,
517,
518,
519,
520,
521,
522,
523,
524,
525,
526,
527,
528,
529,
530,
531,
532,
533,
534,
535,
536,
537,
538,
539,
540,
541,
542,
543,
544,
545,
546,
547,
548,
549,
550,
551,
552,
553,
554,
555,
556,
557,
558,
559,
560,
561,
562,
563,
564,
565,
566,
567,
568,
569,
570,
571,
572,
573,
574,
575,
576,
577,
578,
579,
580,
581,
582,
583,
584,
585,
586,
587,
588,
589,
590,
591,
592,
593,
594,
595,
596,
597,
598,
599,
600,
601,
602,
603,
604,
605,
606,
607,
608,
609,
610,
611,
612,
613,
614,
615,
616,
617,
618,
619,
620,
621,
622,
623,
624,
625,
626,
627,
628,
629,
630,
631,
632,
633,
634,
635,
636,
637,
638,
639,
640,
641,
642,
643,
644,
645,
646,
647,
648,
649,
650,
651,
652,
653,
654,
655,
656,
657,
658,
659,
660,
661,
662,
663,
664,
665,
666,
667,
668,
669,
670,
671,
672,
673,
674,
675,
676,
677,
678,
679,
680,
681,
682,
683,
684,
685,
686,
687,
688,
689,
690,
691,
692,
693,
694,
695,
696,
697,
698,
699,
700,
701,
702,
703,
704,
705,
706,
707,
708,
709,
710,
711,
712,
713,
714,
715,
716,
717,
718,
719,
720,
721,
722,
723,
724,
725,
726,
727,
728,
729,
730,
731,
732,
733,
734,
735,
736,
737,
738,
739,
740,
741,
742,
743,
744,
745,
746,
747,
748,
749,
750,
751,
752,
753,
754,
755,
756,
757,
758,
759,
760,
761,
762,
763,
764,
765,
766,
767,
768,
769,
770,
771,
772,
773,
774,
775,
776,
777,
778,
779,
780,
781,
782,
783,
784,
785,
786,
787,
788,
789,
790,
791,
792,
793,
794,
795,
796,
797,
798,
799,
800,
801,
802,
803,
804,
805,
806,
807,
808,
809,
810,
811,
812,
813,
814,
815,
816,
817,
818,
819,
820,
821,
822,
823,
824,
825,
826,
827,
828,
829,
830,
831,
832,
833,
834,
835,
836,
837,
838,
839,
840,
841,
842,
843,
844,
845,
846,
847,
848,
849,
850,
851,
852,
853,
854,
855,
856,
857,
858,
859,
860,
861,
862,
863,
864,
865,
866,
867,
868,
869,
870,
871,
872,
873,
874,
875,
876,
877,
878,
879,
880,
881,
882,
883,
884,
885,
886,
887,
888,
889,
890,
891,
892,
893,
894,
895,
896,
897,
898,
899,
900,
901,
902,
903,
904,
905,
906,
907,
908,
909,
910,
911,
912,
913,
914,
915,
916,
917,
918,
919,
920,
921,
922,
923,
924,
925,
926,
927,
928,
929,
930,
931,
932,
933,
934,
935,
936,
937,
938,
939,
940,
941,
942,
943,
944,
945,
946,
947,
948,
949,
950,
951,
952,
953,
954,
955,
956,
957,
958,
959,
960,
961,
962,
963,
964,
965,
966,
967,
968,
969,
970,
971,
972,
973,
974,
975,
976,
977,
978,
979,
980,
981,
982,
983,
984,
985,
986,
987,
988,
989,
990,
991,
992,
993,
994,
995,
996,
997,
998,
999,
1000
],
"xaxis": "x",
"y": [
0.3333333333333333,
0.33229687657832013,
0.33127505940246393,
0.3302639494810557,
0.3292620556172948,
0.3282684966544098,
0.3272826664451653,
0.32630411177666463,
0.3253324751943875,
0.3243674640487063,
0.32340883204062837,
0.32245636742782763,
0.32150988507949846,
0.320569220897644,
0.31963422776659867,
0.31870477252968366,
0.3177807336794705,
0.3168619995579014,
0.31594846692952133,
0.31504003983347806,
0.31413662864761505,
0.31323814931653576,
0.31234452270825497,
0.3114556740729803,
0.31057153258394904,
0.30969203094487885,
0.3088171050520108,
0.30794669370128047,
0.3070807383330906,
0.3062191828086434,
0.3053619732129406,
0.3045090576804572,
0.30366038624020786,
0.3028159106774881,
0.30197558441002453,
0.301139362376638,
0.3003072009368191,
0.2994790577798618,
0.29865489184239835,
0.2978346632333524,
0.29701833316545667,
0.2962058638926085,
0.29539721865242385,
0.2945923616134432,
0.29379125782650434,
0.292993873179862,
0.29220017435768636,
0.2914101288016101,
0.29062370467503984,
0.28984087082997484,
0.2890615967761059,
0.2882858468173719,
0.28751359762451434,
0.2867448205120304,
0.2859794873477265,
0.2852175705305735,
0.2844590429699061,
0.28370387806586206,
0.2829520496909642,
0.2822035321727594,
0.2814583002774346,
0.2807163291943383,
0.279977594521343,
0.27924207225098835,
0.27850973875735063,
0.27778057078358853,
0.2770545454301196,
0.2763316401433861,
0.2756118327051713,
0.27489510122242977,
0.2741814241176011,
0.2734707801193751,
0.272763148253881,
0.2720585078362764,
0.2713568384627096,
0.2706581200026351,
0.26996233259146185,
0.26926945662351326,
0.268579472745284,
0.26789236184897447,
0.26720810506629017,
0.2665266837624889,
0.26584807953066536,
0.26517227418625783,
0.26449924976176725,
0.26382898850167724,
0.26316147285756464,
0.2624966854833908,
0.2618346092309651,
0.2611752271455722,
0.26051852246175466,
0.2598644785992439,
0.2592130791590325,
0.25856430791958074,
0.2579181488331516,
0.2572745860222686,
0.2566336037762896,
0.2559951865480936,
0.25535931895087377,
0.2547259857550315,
0.2540951718851703,
0.2534668624171811,
0.2528410425754185,
0.252217697729962,
0.25159681339396006,
0.25097837522105226,
0.2503623690028683,
0.24974878066659797,
0.24913759627263282,
0.2485288020122728,
0.24792238420549886,
0.24731832929880693,
0.2467166238631006,
0.24611725459164266,
0.24552020829806026,
0.2449254719144045,
0.2443330324892595,
0.2437428771859026,
0.2431549932805107,
0.24256936816041297,
0.24198598932238735,
0.24140484437100035,
0.24082592101698744,
0.2402492070756731,
0.23967469046542944,
0.23910235920617243,
0.23853220141789286,
0.2379642053192226,
0.23739835922603472,
0.23683465155007485,
0.23627307079762527,
0.23571360556819843,
0.23515624455325998,
0.23460097653498072,
0.23404779038501553,
0.23349667506330962,
0.2329476196169301,
0.2324006131789227,
0.23185564496719357,
0.2313127042834138,
0.23077178051194736,
0.2302328631188008,
0.22969594165059534,
0.22916100573355935,
0.2286280450725409,
0.22809704945004075,
0.22756800872526428,
0.2270409128331921,
0.2265157517836685,
0.22599251566050807,
0.22547119462061951,
0.224951778893145,
0.22443425877861772,
0.22391862464813345,
0.22340486694253833,
0.22289297617163195,
0.22238294291338398,
0.22187475781316596,
0.2213684115829965,
0.22086389500080014,
0.220361198909679,
0.21986031421719768,
0.21936123189468038,
0.21886394297652037,
0.21836843855950086,
0.2178747098021285,
0.21738274792397644,
0.2168925442050406,
0.2164040899851046,
0.2159173766631169,
0.21543239569657657,
0.21494913860093098,
0.2144675969489813,
0.21398776237029904,
0.21350962655065084,
0.2130331812314335,
0.21255841820911656,
0.21208532933469487,
0.211613906513149,
0.21114414170291376,
0.21067602691535534,
0.2102095542142568,
0.20974471571530962,
0.20928150358561484,
0.2088199100431908,
0.2083599273564878,
0.20790154784391054,
0.20744476387334723,
0.2069895678617055,
0.20653595227445515,
0.2060839096251775,
0.20563343247512078,
0.2051845134327621,
0.2047371451533759,
0.20429132033860747,
0.20384703173605367,
0.203404272138848,
0.20296303438525282,
0.20252331135825577,
0.20208509598517294,
0.2016483812372561,
0.20121313287003195,
0.20077937145377456,
0.20034709008690854,
0.19991628191030497,
0.19948694010691267,
0.19905905790139683,
0.19863262855978042,
0.19820764538909125,
0.19778410173701327,
0.19736199099154184,
0.1969413065806438,
0.19652204197192236,
0.19610419067228463,
0.19568774622761503,
0.1952727022224513,
0.19485905227966546,
0.19444679006014826,
0.1940359092624972,
0.19362640362270891,
0.19321826691387517,
0.19281149294588162,
0.1924060755651113,
0.19200200865415118,
0.19159928613150157,
0.19119790195129022,
0.19079785010298855,
0.19039912461113143,
0.19000171953504094,
0.18960562896855235,
0.18921084703974356,
0.18881736791066778,
0.1884251857770893,
0.18803429486822157,
0.18764468944646898,
0.18725636380717126,
0.18686931227835032,
0.18648352922046052,
0.18609900902614135,
0.1857157461199723,
0.18533373495823185,
0.18495297002865724,
0.1845734458502082,
0.18419515697283262,
0.18381809797723478,
0.18344226347464593,
0.18306764810659784,
0.18269424654469787,
0.18232205349040717,
0.18195106367482064,
0.1815812718584498,
0.18121267283100667,
0.18084526141119198,
0.18047903244648292,
0.18011398081292548,
0.17975010141492703,
0.1793873891850524,
0.17902583908382094,
0.1786654460995063,
0.17830620524793808,
0.1779481115723049,
0.17759116014296045,
0.1772353460572304,
0.1768806644392219,
0.17652711043963465,
0.17617467923557378,
0.17582336603036472,
0.17547316605336988,
0.1751240745598067,
0.17477608683056786,
0.1744291981720432,
0.17408340391594285,
0.17373869941912282,
0.1733950800634113,
0.17305254125543768,
0.17271107842646177,
0.17237068703220623,
0.17203136255268925,
0.17169310049205921,
0.17135589637843138,
0.17101974576372514,
0.17068464422350357,
0.1703505873568138,
0.1700175707860295,
0.16968559015669424,
0.16935464113736645,
0.1690247194194658,
0.16869582071712094,
0.1683679407670188,
0.16804107532825455,
0.1677152201821837,
0.1673903711322754,
0.16706652400396615,
0.166743674644516,
0.16642181892286503,
0.16610095272949196,
0.16578107197627318,
0.1654621725963432,
0.16514425054395696,
0.16482730179435232,
0.1645113223436145,
0.16419630820854123,
0.1638822554265092,
0.16356916005534175,
0.16325701817317756,
0.16294582587834033,
0.16263557928920983,
0.16232627454409387,
0.16201790780110123,
0.16171047523801596,
0.16140397305217224,
0.16109839746033103,
0.16079374469855673,
0.16049001102209576,
0.16018719270525572,
0.15988528604128543,
0.1595842873422563,
0.15928419293894436,
0.15898499918071338,
0.1586867024353989,
0.1583892990891932,
0.15809278554653117,
0.15779715822997714,
0.1575024135801127,
0.1572085480554251,
0.15691555813219682,
0.15662344030439604,
0.1563321910835677,
0.1560418069987256,
0.1557522845962455,
0.15546362043975884,
0.15517581111004705,
0.15488885320493742,
0.1546027433391989,
0.15431747814443955,
0.15403305426900393,
0.15374946837787198,
0.15346671715255858,
0.1531847972910133,
0.1529037055075216,
0.15262343853260643,
0.1523439931129306,
0.15206536601120021,
0.15178755400606825,
0.15151055389203927,
0.15123436247937497,
0.15095897659400004,
0.15068439307740877,
0.15041060878657303,
0.1501376205938498,
0.14986542538689054,
0.14959402006855013,
0.14932340155679774,
0.1490535667846269,
0.14878451269996756,
0.1485162362655982,
0.14824873445905817,
0.14798200427256172,
0.14771604271291153,
0.1474508468014136,
0.1471864135737927,
0.14692274008010814,
0.14665982338467035,
0.14639766056595774,
0.1461362487165349,
0.14587558494297062,
0.14561566636575674,
0.14535649011922774,
0.14509805335148088,
0.14484035322429653,
0.14458338691305977,
0.14432715160668175,
0.14407164450752233,
0.14381686283131237,
0.14356280380707787,
0.14330946467706343,
0.1430568426966567,
0.14280493513431364,
0.14255373927148374,
0.14230325240253622,
0.1420534718346866,
0.14180439488792362,
0.1415560188949369,
0.14130834120104516,
0.14106135916412438,
0.1408150701545373,
0.14056947155506241,
0.1403245607608249,
0.140080335179226,
0.1398367922298749,
0.13959392934451972,
0.13935174396697947,
0.13911023355307653,
0.1388693955705697,
0.13862922749908688,
0.1383897268300595,
0.1381508910666562,
0.13791271772371774,
0.13767520432769212,
0.1374383484165696,
0.1372021475398194,
0.13696659925832547,
0.13673170114432345,
0.13649745078133801,
0.13626384576412032,
0.13603088369858618,
0.13579856220175449,
0.13556687890168598,
0.13533583143742264,
0.13510541745892735,
0.13487563462702382,
0.13464648061333717,
0.1344179531002348,
0.13419004978076746,
0.13396276835861104,
0.13373610654800847,
0.13351006207371213,
0.13328463267092663,
0.13305981608525186,
0.13283561007262662,
0.13261201239927217,
0.1323890208416369,
0.1321666331863405,
0.1319448472301191,
0.1317236607797706,
0.13150307165210012,
0.13128307767386627,
0.13106367668172708,
0.13084486652218713,
0.1306266450515442,
0.13040901013583692,
0.13019195965079222,
0.12997549148177348,
0.12975960352372892,
0.12954429368114012,
0.12932955986797115,
0.12911540000761795,
0.12890181203285772,
0.1286887938857992,
0.12847634351783271,
0.12826445888958088,
0.12805313797084944,
0.1278423787405785,
0.12763217918679406,
0.12742253730655972,
0.127213451105929,
0.1270049185998975,
0.12679693781235576,
0.12658950677604225,
0.12638262353249669,
0.1261762861320134,
0.1259704926335955,
0.1257652411049089,
0.1255605296222366,
0.12535635627043368,
0.1251527191428821,
0.12494961634144601,
0.12474704597642727,
0.12454500616652142,
0.12434349503877352,
0.12414251072853469,
0.12394205137941856,
0.12374211514325838,
0.12354270018006396,
0.12334380465797916,
0.12314542675323963,
0.12294756465013051,
0.12275021654094491,
0.12255338062594194,
0.12235705511330587,
0.1221612382191046,
0.12196592816724912,
0.12177112318945288,
0.12157682152519134,
0.12138302142166199,
0.12118972113374452,
0.12099691892396103,
0.12080461306243682,
0.12061280182686121,
0.12042148350244865,
0.12023065638189982,
0.12004031876536356,
0.11985046896039829,
0.11966110528193426,
0.11947222605223569,
0.11928382960086324,
0.1190959142646366,
0.11890847838759755,
0.11872152032097288,
0.11853503842313796,
0.11834903105958001,
0.11816349660286217,
0.11797843343258718,
0.11779383993536177,
0.11760971450476099,
0.11742605554129282,
0.11724286145236287,
0.11706013065223975,
0.11687786156201978,
0.1166960526095928,
0.11651470222960768,
0.11633380886343815,
0.11615337095914872,
0.11597338697146117,
0.11579385536172067,
0.11561477459786249,
0.11543614315437897,
0.11525795951228625,
0.11508022215909165,
0.11490292958876093,
0.1147260803016859,
0.1145496728046523,
0.11437370561080745,
0.11419817723962856,
0.11402308621689115,
0.11384843107463723,
0.11367421035114411,
0.11350042259089338,
0.11332706634453973,
0.1131541401688803,
0.11298164262682388,
0.11280957228736067,
0.11263792772553184,
0.11246670752239951,
0.11229591026501672,
0.11212553454639783,
0.11195557896548873,
0.11178604212713766,
0.11161692264206562,
0.11144821912683758,
0.11127993020383337,
0.11111205450121896,
0.11094459065291794,
0.11077753729858288,
0.11061089308356721,
0.11044465665889709,
0.11027882668124325,
0.11011340181289353,
0.10994838072172486,
0.10978376208117596,
0.10961954457022005,
0.1094557268733374,
0.1092923076804886,
0.1091292856870874,
0.1089666595939742,
0.10880442810738924,
0.10864258993894628,
0.10848114380560646,
0.10832008842965181,
0.10815942253865941,
0.10799914486547556,
0.1078392541481901,
0.10767974913011079,
0.10752062855973775,
0.10736189119073833,
0.107203535781922,
0.10704556109721507,
0.10688796590563611,
0.10673074898127098,
0.10657390910324857,
0.1064174450557158,
0.10626135562781377,
0.1061056396136534,
0.10595029581229116,
0.10579532302770556,
0.10564072006877288,
0.10548648574924395,
0.1053326188877201,
0.1051791183076302,
0.10502598283720734,
0.1048732113094651,
0.10472080256217543,
0.10456875543784498,
0.10441706878369268,
0.10426574145162688,
0.10411477229822312,
0.10396416018470149,
0.10381390397690417,
0.10366400254527362,
0.10351445476483051,
0.10336525951515146,
0.10321641568034746,
0.10306792214904219,
0.10291977781435033,
0.1027719815738562,
0.10262453232959244,
0.10247742898801854,
0.10233067046000008,
0.10218425566078737,
0.10203818350999493,
0.10189245293158045,
0.10174706285382414,
0.10160201220930827,
0.10145729993489674,
0.1013129249717147,
0.10116888626512825,
0.10102518276472434,
0.10088181342429108,
0.10073877720179727,
0.10059607305937308,
0.10045369996329015,
0.10031165688394207,
0.10016994279582478,
0.10002855667751742,
0.09988749751166277,
0.09974676428494844,
0.09960635598808734,
0.09946627161579917,
0.09932651016679114,
0.09918707064373963,
0.09904795205327116,
0.09890915340594404,
0.0987706737162297,
0.09863251200249458,
0.09849466728698159,
0.0983571385957921,
0.0982199249588678,
0.09808302540997284,
0.09794643898667557,
0.09781016473033116,
0.09767420168606372,
0.09753854890274868,
0.09740320543299522,
0.09726817033312894,
0.09713344266317446,
0.09699902148683832,
0.09686490587149157,
0.09673109488815296,
0.09659758761147166,
0.09646438311971084,
0.09633148049473034,
0.09619887882197042,
0.0960665771904348,
0.0959345746926743,
0.09580287042477041,
0.09567146348631875,
0.09554035298041297,
0.09540953801362846,
0.09527901769600643,
0.09514879114103744,
0.09501885746564602,
0.09488921579017438,
0.09475986523836691,
0.09463080493735415,
0.09450203401763765,
0.09437355161307406,
0.09424535686085976,
0.0941174489015156,
0.09398982687887149,
0.09386248994005128,
0.09373543723545752,
0.09360866791875647,
0.09348218114686307,
0.09335597607992621,
0.09323005188131359,
0.09310440771759729,
0.09297904275853895,
0.09285395617707512,
0.09272914714930285,
0.09260461485446517,
0.09248035847493676,
0.09235637719620964,
0.09223267020687886,
0.09210923669862864,
0.09198607586621776,
0.09186318690746612,
0.09174056902324046,
0.09161822141744057,
0.09149614329698559,
0.09137433387180001,
0.09125279235480051,
0.0911315179618818,
0.09101050991190364,
0.09088976742667687,
0.09076928973095057,
0.09064907605239823,
0.09052912562160503,
0.0904094376720542,
0.09029001144011417,
0.09017084616502546,
0.09005194108888785,
0.08993329545664716,
0.08981490851608266,
0.08969677951779431,
0.08957890771518974,
0.08946129236447206,
0.08934393272462697,
0.08922682805741024,
0.08910997762733544,
0.08899338070166131,
0.08887703655037958,
0.08876094444620274,
0.08864510366455165,
0.08852951348354361,
0.08841417318398011,
0.08829908204933494,
0.0881842393657421,
0.08806964442198387,
0.08795529650947925,
0.08784119492227187,
0.08772733895701831,
0.08761372791297672,
0.0875003610919947,
0.08738723779849832,
0.08727435733948015,
0.08716171902448819,
0.08704932216561426,
0.08693716607748278,
0.08682525007723953,
0.08671357348454033,
0.08660213562154,
0.08649093581288132,
0.08637997338568379,
0.0862692476695328,
0.08615875799646872,
0.08604850370097587,
0.08593848411997194,
0.08582869859279703,
0.08571914646120297,
0.08560982706934263,
0.08550073976375965,
0.08539188389337728,
0.08528325880948835,
0.08517486386574484,
0.08506669841814704,
0.08495876182503376,
0.08485105344707158,
0.08474357264724494,
0.08463631879084571,
0.0845292912454633,
0.08442248938097424,
0.08431591256953248,
0.08420956018555913,
0.08410343160573266,
0.08399752620897902,
0.0838918433764617,
0.08378638249157205,
0.08368114293991948,
0.08357612410932169,
0.08347132538979514,
0.08336674617354536,
0.08326238585495746,
0.08315824383058662,
0.08305431949914849,
0.08295061226151,
0.0828471215206799,
0.08274384668179918,
0.08264078715213236,
0.08253794234105777,
0.08243531166005845,
0.08233289452271321,
0.08223069034468732,
0.08212869854372358,
0.08202691853963327,
0.08192534975428724,
0.08182399161160687,
0.08172284353755528,
0.08162190496012858,
0.08152117530934684,
0.08142065401724569,
0.08132034051786718,
0.08122023424725161,
0.08112033464342851,
0.08102064114640821,
0.08092115319817342,
0.08082187024267054,
0.08072279172580131,
0.08062391709541444,
0.08052524580129712,
0.08042677729516684,
0.0803285110306629,
0.08023044646333839,
0.08013258305065189,
0.08003492025195917,
0.07993745752850533,
0.07984019434341641,
0.07974313016169168,
0.07964626445019522,
0.07954959667764834,
0.07945312631462143,
0.079356852833526,
0.07926077570860716,
0.07916489441593534,
0.07906920843339894,
0.0789737172406963,
0.07887842031932803,
0.07878331715258959,
0.0786884072255632,
0.07859369002511075,
0.07849916503986581,
0.0784048317602265,
0.07831068967834762,
0.07821673828813357,
0.0781229770852306,
0.07802940556701965,
0.07793602323260893,
0.07784282958282662,
0.07774982412021364,
0.07765700634901634,
0.07756437577517936,
0.07747193190633836,
0.07737967425181315,
0.07728760232260022,
0.07719571563136587,
0.07710401369243929,
0.07701249602180532,
0.07692116213709768,
0.07683001155759196,
0.07673904380419865,
0.07664825839945644,
0.07655765486752526,
0.07646723273417959,
0.07637699152680145,
0.07628693077437407,
0.07619705000747479,
0.07610734875826856,
0.07601782656050139,
0.07592848294949373,
0.07583931746213349,
0.07575032963687013,
0.07566151901370768,
0.07557288513419849,
0.07548442754143668,
0.07539614578005174,
0.07530803939620216,
0.07522010793756904,
0.07513235095334977,
0.07504476799425171,
0.074957358612486,
0.07487012236176117,
0.07478305879727716,
0.07469616747571886,
0.07460944795525025,
0.07452289979550795,
0.07443652255759545,
0.07435031580407687,
0.07426427909897085,
0.07417841200774479,
0.07409271409730865,
0.07400718493600902,
0.07392182409362336,
0.0738366311413539,
0.07375160565182194,
0.07366674719906192,
0.07358205535851557,
0.07349752970702628,
0.07341316982283311,
0.07332897528556538,
0.07324494567623649,
0.07316108057723886,
0.07307737957233766,
0.07299384224666577,
0.07291046818671762,
0.07282725698034398,
0.07274420821674643,
0.07266132148647161,
0.07257859638140589,
0.07249603249476987,
0.07241362942111289,
0.07233138675630772,
0.0722493040975451,
0.07216738104332834,
0.07208561719346804,
0.07200401214907669,
0.0719225655125636,
0.07184127688762938,
0.07176014587926073,
0.07167917209372533,
0.07159835513856674,
0.07151769462259888,
0.07143719015590122,
0.0713568413498136,
0.07127664781693097,
0.07119660917109834,
0.07111672502740608,
0.07103699500218445,
0.07095741871299872,
0.07087799577864434,
0.0707987258191419,
0.0707196084557321,
0.0706406433108711,
0.07056183000822513,
0.07048316817266627,
0.0704046574302672,
0.07032629740829646,
0.07024808773521357,
0.07017002804066448,
0.07009211795547657,
0.07001435711165417,
0.06993674514237357,
0.0698592816819786,
0.06978196636597572,
0.0697047988310296,
0.06962777871495834,
0.06955090565672888,
0.06947417929645253,
0.06939759927538033,
0.06932116523589849,
0.06924487682152387,
0.06916873367689967,
0.06909273544779061,
0.06901688178107881,
0.06894117232475919,
0.06886560672793499,
0.06879018464081346,
0.06871490571470162,
0.0686397696020017,
0.06856477595620682,
0.06848992443189687,
0.06841521468473397,
0.06834064637145838,
0.06826621914988402,
0.06819193267889463,
0.06811778661843913,
0.06804378062952764,
0.06796991437422731,
0.06789618751565803,
0.06782259971798846,
0.06774915064643183,
0.06767583996724182,
0.06760266734770834,
0.06752963245615387,
0.06745673496192901,
0.0673839745354087,
0.06731135084798796,
0.06723886357207817,
0.06716651238110292,
0.0670942969494942,
0.0670222169526883,
0.06695027206712195,
0.06687846197022852,
0.06680678634043401,
0.0667352448571532,
0.0666638372007859,
0.06659256305271304,
0.06652142209529277,
0.06645041401185688,
0.0663795384867068,
0.06630879520511003,
0.06623818385329629,
0.06616770411845371,
0.06609735568872538,
0.06602713825320537,
0.06595705150193519,
0.0658870951259001,
0.06581726881702564,
0.06574757226817358,
0.0656780051731388,
0.06560856722664535,
0.06553925812434296,
0.0654700775628036,
0.06540102523951778,
0.06533210085289108,
0.06526330410224065,
0.06519463468779169,
0.06512609231067391,
0.06505767667291822,
0.06498938747745307,
0.06492122442810122,
0.06485318722957616,
0.06478527558747885,
0.06471748920829411,
0.06464982779938748,
0.06458229106900171,
0.06451487872625349,
0.0644475904811301,
0.06438042604448606,
0.06431338512803987,
0.06424646744437072,
0.06417967270691523,
0.06411300062996415,
0.0640464509286591,
0.06398002331898948,
0.06391371751778908,
0.06384753324273303,
0.06378147021233449,
0.06371552814594156,
0.06364970676373415,
0.06358400578672069,
0.06351842493673515,
0.063452963936434,
0.06338762250929277,
0.06332240037960335,
0.0632572972724707,
0.0631923129138098,
0.0631274470303427,
0.0630626993495954,
0.06299806959989487,
0.06293355751036607,
0.06286916281092887,
0.06280488523229519,
0.06274072450596595,
0.06267668036422806,
0.06261275254015176,
0.06254894076758724,
0.06248524478116221,
0.06242166431627863,
0.062358199109110064,
0.06229484889659861,
0.06223161341645217,
0.0621684924071416
],
"yaxis": "y"
}
],
"layout": {
"autosize": true,
"template": {
"data": {
"bar": [
{
"error_x": {
"color": "#2a3f5f"
},
"error_y": {
"color": "#2a3f5f"
},
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "bar"
}
],
"barpolar": [
{
"marker": {
"line": {
"color": "#E5ECF6",
"width": 0.5
},
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "barpolar"
}
],
"carpet": [
{
"aaxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"baxis": {
"endlinecolor": "#2a3f5f",
"gridcolor": "white",
"linecolor": "white",
"minorgridcolor": "white",
"startlinecolor": "#2a3f5f"
},
"type": "carpet"
}
],
"choropleth": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "choropleth"
}
],
"contour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "contour"
}
],
"contourcarpet": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "contourcarpet"
}
],
"heatmap": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmap"
}
],
"heatmapgl": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "heatmapgl"
}
],
"histogram": [
{
"marker": {
"pattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
}
},
"type": "histogram"
}
],
"histogram2d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2d"
}
],
"histogram2dcontour": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "histogram2dcontour"
}
],
"mesh3d": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"type": "mesh3d"
}
],
"parcoords": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "parcoords"
}
],
"pie": [
{
"automargin": true,
"type": "pie"
}
],
"scatter": [
{
"fillpattern": {
"fillmode": "overlay",
"size": 10,
"solidity": 0.2
},
"type": "scatter"
}
],
"scatter3d": [
{
"line": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatter3d"
}
],
"scattercarpet": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattercarpet"
}
],
"scattergeo": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergeo"
}
],
"scattergl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattergl"
}
],
"scattermapbox": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scattermapbox"
}
],
"scatterpolar": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolar"
}
],
"scatterpolargl": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterpolargl"
}
],
"scatterternary": [
{
"marker": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"type": "scatterternary"
}
],
"surface": [
{
"colorbar": {
"outlinewidth": 0,
"ticks": ""
},
"colorscale": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"type": "surface"
}
],
"table": [
{
"cells": {
"fill": {
"color": "#EBF0F8"
},
"line": {
"color": "white"
}
},
"header": {
"fill": {
"color": "#C8D4E3"
},
"line": {
"color": "white"
}
},
"type": "table"
}
]
},
"layout": {
"annotationdefaults": {
"arrowcolor": "#2a3f5f",
"arrowhead": 0,
"arrowwidth": 1
},
"autotypenumbers": "strict",
"coloraxis": {
"colorbar": {
"outlinewidth": 0,
"ticks": ""
}
},
"colorscale": {
"diverging": [
[
0,
"#8e0152"
],
[
0.1,
"#c51b7d"
],
[
0.2,
"#de77ae"
],
[
0.3,
"#f1b6da"
],
[
0.4,
"#fde0ef"
],
[
0.5,
"#f7f7f7"
],
[
0.6,
"#e6f5d0"
],
[
0.7,
"#b8e186"
],
[
0.8,
"#7fbc41"
],
[
0.9,
"#4d9221"
],
[
1,
"#276419"
]
],
"sequential": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
],
"sequentialminus": [
[
0,
"#0d0887"
],
[
0.1111111111111111,
"#46039f"
],
[
0.2222222222222222,
"#7201a8"
],
[
0.3333333333333333,
"#9c179e"
],
[
0.4444444444444444,
"#bd3786"
],
[
0.5555555555555556,
"#d8576b"
],
[
0.6666666666666666,
"#ed7953"
],
[
0.7777777777777778,
"#fb9f3a"
],
[
0.8888888888888888,
"#fdca26"
],
[
1,
"#f0f921"
]
]
},
"colorway": [
"#636efa",
"#EF553B",
"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
"color": "#2a3f5f"
}
},
"ternary": {
"aaxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"baxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"caxis": {
"gridcolor": "white",
"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "Superposed plots for frequency 2 (purple) and 10 (green)"
},
"xaxis": {
"autorange": true,
"range": [
0,
1000
],
"type": "linear"
},
"yaxis": {
"autorange": true,
"range": [
-0.01300458278080786,
0.3515616447077618
],
"type": "linear"
}
}
},
"image/png": "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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Combine the last 2 plots\n",
"all_fig = go.Figure(data=fig.data + fig_2.data) # Note that the + is concatenating lists\n",
"all_fig.update_layout(title=\"Superposed plots for frequency 2 (purple) and 10 (green)\")\n",
"all_fig.show()"
]
},
{
"cell_type": "markdown",
"id": "8af00164-7535-4e85-90fb-05c971ea44f0",
"metadata": {},
"source": [
"## Note how more more substantial the attenuation of the higher frequency (green) is!"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "48c7fe9f",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.10"
},
"toc-autonumbering": false,
"toc-showcode": true,
"toc-showmarkdowntxt": false
},
"nbformat": 4,
"nbformat_minor": 5
}