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
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
10947
10948
10949
10950
10951
10952
10953
10954
10955
10956
10957
10958
10959
10960
10961
10962
10963
10964
10965
10966
10967
10968
10969
10970
10971
10972
10973
10974
10975
10976
10977
10978
10979
10980
10981
10982
10983
10984
10985
10986
10987
10988
10989
10990
10991
10992
10993
10994
10995
10996
10997
10998
10999
11000
11001
11002
11003
11004
11005
11006
11007
11008
11009
11010
11011
11012
11013
11014
11015
11016
11017
11018
11019
11020
11021
11022
11023
11024
11025
11026
11027
11028
11029
11030
11031
11032
11033
11034
11035
11036
11037
11038
11039
11040
11041
11042
11043
11044
11045
11046
11047
11048
11049
11050
11051
11052
11053
11054
11055
11056
11057
11058
11059
11060
11061
11062
11063
11064
11065
11066
11067
11068
11069
11070
11071
11072
11073
11074
11075
11076
11077
11078
11079
11080
11081
11082
11083
11084
11085
11086
11087
11088
11089
11090
11091
11092
11093
11094
11095
11096
11097
11098
11099
11100
11101
11102
11103
11104
11105
11106
11107
11108
11109
11110
11111
11112
11113
11114
11115
11116
11117
11118
11119
11120
11121
11122
11123
11124
11125
11126
11127
11128
11129
11130
11131
11132
11133
11134
11135
11136
11137
11138
11139
11140
11141
11142
11143
11144
11145
11146
11147
11148
11149
11150
11151
11152
11153
11154
11155
11156
11157
11158
11159
11160
11161
11162
11163
11164
11165
11166
11167
11168
11169
11170
11171
11172
11173
11174
11175
11176
11177
11178
11179
11180
11181
11182
11183
11184
11185
11186
11187
11188
11189
11190
11191
11192
11193
11194
11195
11196
11197
11198
11199
11200
11201
11202
11203
11204
11205
11206
11207
11208
11209
11210
11211
11212
11213
11214
11215
11216
11217
11218
11219
11220
11221
11222
11223
11224
11225
11226
11227
11228
11229
11230
11231
11232
11233
11234
11235
11236
11237
11238
11239
11240
11241
11242
11243
11244
11245
11246
11247
11248
11249
11250
11251
11252
11253
11254
11255
11256
11257
11258
11259
11260
11261
11262
11263
11264
11265
11266
11267
11268
11269
11270
11271
11272
11273
11274
11275
11276
11277
11278
11279
11280
11281
11282
11283
11284
11285
11286
11287
11288
11289
11290
11291
11292
11293
11294
11295
11296
11297
11298
11299
11300
11301
11302
11303
11304
11305
11306
11307
11308
11309
11310
11311
11312
11313
11314
11315
11316
11317
11318
11319
11320
11321
11322
11323
11324
11325
11326
11327
11328
11329
11330
11331
11332
11333
11334
11335
11336
11337
11338
11339
11340
11341
11342
11343
11344
11345
11346
11347
11348
11349
11350
11351
11352
11353
11354
11355
11356
11357
11358
11359
11360
11361
11362
11363
11364
11365
11366
11367
11368
11369
11370
11371
11372
11373
11374
11375
11376
11377
11378
11379
11380
11381
11382
11383
11384
11385
11386
11387
11388
11389
11390
11391
11392
11393
11394
11395
11396
11397
11398
11399
11400
11401
11402
11403
11404
11405
11406
11407
11408
11409
11410
11411
11412
11413
11414
11415
11416
11417
11418
11419
11420
11421
11422
11423
11424
11425
11426
11427
11428
11429
11430
11431
11432
11433
11434
11435
11436
11437
11438
11439
11440
11441
11442
11443
11444
11445
11446
11447
11448
11449
11450
11451
11452
11453
11454
11455
11456
11457
11458
11459
11460
11461
11462
11463
11464
11465
11466
11467
11468
11469
11470
11471
11472
11473
11474
11475
11476
11477
11478
11479
11480
11481
11482
11483
11484
11485
11486
11487
11488
11489
11490
11491
11492
11493
11494
11495
11496
11497
11498
11499
11500
11501
11502
11503
11504
11505
11506
11507
11508
11509
11510
11511
11512
11513
11514
11515
11516
11517
11518
11519
11520
11521
11522
11523
11524
11525
11526
11527
11528
11529
11530
11531
11532
11533
11534
11535
11536
11537
11538
11539
11540
11541
11542
11543
11544
11545
11546
11547
11548
11549
11550
11551
11552
11553
11554
11555
11556
11557
11558
11559
11560
11561
11562
11563
11564
11565
11566
11567
11568
11569
11570
11571
11572
11573
11574
11575
11576
11577
11578
11579
11580
11581
11582
11583
11584
11585
11586
11587
11588
11589
11590
11591
11592
11593
11594
11595
11596
11597
11598
11599
11600
11601
11602
11603
11604
11605
11606
11607
11608
11609
11610
11611
11612
11613
11614
11615
11616
11617
11618
11619
11620
11621
11622
11623
11624
11625
11626
11627
11628
11629
11630
11631
11632
11633
11634
11635
11636
11637
11638
11639
11640
11641
11642
11643
11644
11645
11646
11647
11648
11649
11650
11651
11652
11653
11654
11655
11656
11657
11658
11659
11660
11661
11662
11663
11664
11665
11666
11667
11668
11669
11670
11671
11672
11673
11674
11675
11676
11677
11678
11679
11680
11681
11682
11683
11684
11685
11686
11687
11688
11689
11690
11691
11692
11693
11694
11695
11696
11697
11698
11699
11700
11701
11702
11703
11704
11705
11706
11707
11708
11709
11710
11711
11712
11713
11714
11715
11716
11717
11718
11719
11720
11721
11722
11723
11724
11725
11726
11727
11728
11729
11730
11731
11732
11733
11734
11735
11736
11737
11738
11739
11740
11741
11742
11743
11744
11745
11746
11747
11748
11749
11750
11751
11752
11753
11754
11755
11756
11757
11758
11759
11760
11761
11762
11763
11764
11765
11766
11767
11768
11769
11770
11771
11772
11773
11774
11775
11776
11777
11778
11779
11780
11781
11782
11783
11784
11785
11786
11787
11788
11789
11790
11791
11792
11793
11794
11795
11796
11797
11798
11799
11800
11801
11802
11803
11804
11805
11806
11807
11808
11809
11810
11811
11812
11813
11814
11815
11816
11817
11818
11819
11820
11821
11822
11823
11824
11825
11826
11827
11828
11829
11830
11831
11832
11833
11834
11835
11836
11837
11838
11839
11840
11841
11842
11843
11844
11845
11846
11847
11848
11849
11850
11851
11852
11853
11854
11855
11856
11857
11858
11859
11860
11861
11862
11863
11864
11865
11866
11867
11868
11869
11870
11871
11872
11873
11874
11875
11876
11877
11878
11879
11880
11881
11882
11883
11884
11885
11886
11887
11888
11889
11890
11891
11892
11893
11894
11895
11896
11897
11898
11899
11900
11901
11902
11903
11904
11905
11906
11907
11908
11909
11910
11911
11912
11913
11914
11915
11916
11917
11918
11919
11920
11921
11922
11923
11924
11925
11926
11927
11928
11929
11930
11931
11932
11933
11934
11935
11936
11937
11938
11939
11940
11941
11942
11943
11944
11945
11946
11947
11948
11949
11950
11951
11952
11953
11954
11955
11956
11957
11958
11959
11960
11961
11962
11963
11964
11965
11966
11967
11968
11969
11970
11971
11972
11973
11974
11975
11976
11977
11978
11979
11980
11981
11982
11983
11984
11985
11986
11987
11988
11989
11990
11991
11992
11993
11994
11995
11996
11997
11998
11999
12000
12001
12002
12003
12004
12005
12006
12007
12008
12009
12010
12011
12012
12013
12014
12015
12016
12017
12018
12019
12020
12021
12022
12023
12024
12025
12026
12027
12028
12029
12030
12031
12032
12033
12034
12035
12036
12037
12038
12039
12040
12041
12042
12043
12044
12045
12046
12047
12048
12049
12050
12051
12052
12053
12054
12055
12056
12057
12058
12059
12060
12061
12062
12063
12064
12065
12066
12067
12068
12069
12070
12071
12072
12073
12074
12075
12076
12077
12078
12079
12080
12081
12082
12083
12084
12085
12086
12087
12088
12089
12090
12091
12092
12093
12094
12095
12096
12097
12098
12099
12100
12101
12102
12103
12104
12105
12106
12107
12108
12109
12110
12111
12112
12113
12114
12115
12116
12117
12118
12119
12120
12121
12122
12123
12124
12125
12126
12127
12128
12129
12130
12131
12132
12133
12134
12135
12136
12137
12138
12139
12140
12141
12142
12143
12144
12145
12146
12147
12148
12149
12150
12151
12152
12153
12154
12155
12156
12157
12158
12159
12160
12161
12162
12163
12164
12165
12166
12167
12168
12169
12170
12171
12172
12173
12174
12175
12176
12177
12178
12179
12180
12181
12182
12183
12184
12185
12186
12187
12188
12189
12190
12191
12192
12193
12194
12195
12196
12197
12198
12199
12200
12201
12202
12203
12204
12205
12206
12207
12208
12209
12210
12211
12212
12213
12214
12215
12216
12217
12218
12219
12220
12221
12222
12223
12224
12225
12226
12227
12228
12229
12230
12231
12232
12233
12234
12235
12236
12237
12238
12239
12240
12241
12242
12243
12244
12245
12246
12247
12248
12249
12250
12251
12252
12253
12254
12255
12256
12257
12258
12259
12260
12261
12262
12263
12264
12265
12266
12267
12268
12269
12270
12271
12272
12273
12274
12275
12276
12277
12278
12279
12280
12281
12282
12283
12284
12285
12286
12287
12288
12289
12290
12291
12292
12293
12294
12295
12296
12297
12298
12299
12300
12301
12302
12303
12304
12305
12306
12307
12308
12309
12310
12311
12312
12313
12314
12315
12316
12317
12318
12319
12320
12321
12322
12323
12324
12325
12326
12327
12328
12329
12330
12331
12332
12333
12334
12335
12336
12337
12338
12339
12340
12341
12342
12343
12344
12345
12346
12347
12348
12349
12350
12351
12352
12353
12354
12355
12356
12357
12358
12359
12360
12361
12362
12363
12364
12365
12366
12367
12368
12369
12370
12371
12372
12373
12374
12375
12376
12377
12378
12379
12380
12381
12382
12383
12384
12385
12386
12387
12388
12389
12390
12391
12392
12393
12394
12395
12396
12397
12398
12399
12400
12401
12402
12403
12404
12405
12406
12407
12408
12409
12410
12411
12412
12413
12414
12415
12416
12417
12418
12419
12420
12421
12422
12423
12424
12425
12426
12427
12428
12429
12430
12431
12432
12433
12434
12435
12436
12437
12438
12439
12440
12441
12442
12443
12444
12445
12446
12447
12448
12449
12450
12451
12452
12453
12454
12455
12456
12457
12458
12459
12460
12461
12462
12463
12464
12465
12466
12467
12468
12469
12470
12471
12472
12473
12474
12475
12476
12477
12478
12479
12480
12481
12482
12483
12484
12485
12486
12487
12488
12489
12490
12491
12492
12493
12494
12495
12496
12497
12498
12499
12500
12501
12502
12503
12504
12505
12506
12507
12508
12509
12510
12511
12512
12513
12514
12515
12516
12517
12518
12519
12520
12521
12522
12523
12524
12525
12526
12527
12528
12529
12530
12531
12532
12533
12534
12535
12536
12537
12538
12539
12540
12541
12542
12543
12544
12545
12546
12547
12548
12549
12550
12551
12552
12553
12554
12555
12556
12557
12558
12559
12560
12561
12562
12563
12564
12565
12566
12567
12568
12569
12570
12571
12572
12573
12574
12575
12576
12577
12578
12579
12580
12581
12582
12583
12584
12585
12586
12587
12588
12589
12590
12591
12592
12593
12594
12595
12596
12597
12598
12599
12600
12601
12602
12603
12604
12605
12606
12607
12608
12609
12610
12611
12612
12613
12614
12615
12616
12617
12618
12619
12620
12621
12622
12623
12624
12625
12626
12627
12628
12629
12630
12631
12632
12633
12634
12635
12636
12637
12638
12639
12640
12641
12642
12643
12644
12645
12646
12647
12648
12649
12650
12651
12652
12653
12654
12655
12656
12657
12658
12659
12660
12661
12662
12663
12664
12665
12666
12667
12668
12669
12670
12671
12672
12673
12674
12675
12676
12677
12678
12679
12680
12681
12682
12683
12684
12685
12686
12687
12688
12689
12690
12691
12692
12693
12694
12695
12696
12697
12698
12699
12700
12701
12702
12703
12704
12705
12706
12707
12708
12709
12710
12711
12712
12713
12714
12715
12716
12717
12718
12719
12720
12721
12722
12723
12724
12725
12726
12727
12728
12729
12730
12731
12732
12733
12734
12735
12736
12737
12738
12739
12740
12741
12742
12743
12744
12745
12746
12747
12748
12749
12750
12751
12752
12753
12754
12755
12756
12757
12758
12759
12760
12761
12762
12763
12764
12765
12766
12767
12768
12769
12770
12771
12772
12773
12774
12775
12776
12777
12778
12779
12780
12781
12782
12783
12784
12785
12786
12787
12788
12789
12790
12791
12792
12793
12794
12795
12796
12797
12798
12799
12800
12801
12802
12803
12804
12805
12806
12807
12808
12809
12810
12811
12812
12813
12814
12815
12816
12817
12818
12819
12820
12821
12822
12823
12824
12825
12826
12827
12828
12829
12830
12831
12832
12833
12834
12835
12836
12837
12838
12839
12840
12841
12842
12843
12844
12845
12846
12847
12848
12849
12850
12851
12852
12853
12854
12855
12856
12857
12858
12859
12860
12861
12862
12863
12864
12865
12866
12867
12868
12869
12870
12871
12872
12873
12874
12875
12876
12877
12878
12879
12880
12881
12882
12883
12884
12885
12886
12887
12888
12889
12890
12891
12892
12893
12894
12895
12896
12897
12898
12899
12900
12901
12902
12903
12904
12905
12906
12907
12908
12909
12910
12911
12912
12913
12914
12915
12916
12917
12918
12919
12920
12921
12922
12923
12924
12925
12926
12927
12928
12929
12930
12931
12932
12933
12934
12935
12936
12937
12938
12939
12940
12941
12942
12943
12944
12945
12946
12947
12948
12949
12950
12951
12952
12953
12954
12955
12956
12957
12958
12959
12960
12961
12962
12963
12964
12965
12966
12967
12968
12969
12970
12971
12972
12973
12974
12975
12976
12977
12978
12979
12980
12981
12982
12983
12984
12985
12986
12987
12988
12989
12990
12991
12992
12993
12994
12995
12996
12997
12998
12999
13000
13001
13002
13003
13004
13005
13006
13007
13008
13009
13010
13011
13012
13013
13014
13015
13016
13017
13018
13019
13020
13021
13022
13023
13024
13025
13026
13027
13028
13029
13030
13031
13032
13033
13034
13035
13036
13037
13038
13039
13040
13041
13042
13043
13044
13045
13046
13047
13048
13049
13050
13051
13052
13053
13054
13055
13056
13057
13058
13059
13060
13061
13062
13063
13064
13065
13066
13067
13068
13069
13070
13071
13072
13073
13074
13075
13076
13077
13078
13079
13080
13081
13082
13083
13084
13085
13086
13087
13088
13089
13090
13091
13092
13093
13094
13095
13096
13097
13098
13099
13100
13101
13102
13103
13104
13105
13106
13107
13108
13109
13110
13111
13112
13113
13114
13115
13116
13117
13118
13119
13120
13121
13122
13123
13124
13125
13126
13127
13128
13129
13130
13131
13132
13133
13134
13135
13136
13137
13138
13139
13140
13141
13142
13143
13144
13145
13146
13147
13148
13149
13150
13151
13152
13153
13154
13155
13156
13157
13158
13159
13160
13161
13162
13163
13164
13165
13166
13167
13168
13169
13170
13171
13172
13173
13174
13175
13176
13177
13178
13179
13180
13181
13182
13183
13184
13185
13186
13187
13188
13189
13190
13191
13192
13193
13194
13195
13196
13197
13198
13199
13200
13201
13202
13203
13204
13205
13206
13207
13208
13209
13210
13211
13212
13213
13214
13215
13216
13217
13218
13219
13220
13221
13222
13223
13224
13225
13226
13227
13228
13229
13230
13231
13232
13233
13234
13235
13236
13237
13238
13239
13240
13241
13242
13243
13244
13245
13246
13247
13248
13249
13250
13251
13252
13253
13254
13255
13256
13257
13258
13259
13260
13261
13262
13263
13264
13265
13266
13267
13268
13269
13270
13271
13272
13273
13274
13275
13276
13277
13278
13279
13280
13281
13282
13283
13284
13285
13286
13287
13288
13289
13290
13291
13292
13293
13294
13295
13296
13297
13298
13299
13300
13301
13302
13303
13304
13305
13306
13307
13308
13309
13310
13311
13312
13313
13314
13315
13316
13317
13318
13319
13320
13321
13322
13323
13324
13325
13326
13327
13328
13329
13330
13331
13332
13333
13334
13335
13336
13337
13338
13339
13340
13341
13342
13343
13344
13345
13346
13347
13348
13349
13350
13351
13352
13353
13354
13355
13356
13357
13358
13359
13360
13361
13362
13363
13364
13365
13366
13367
13368
13369
13370
13371
13372
13373
13374
13375
13376
13377
13378
13379
13380
13381
13382
13383
13384
13385
13386
13387
13388
13389
13390
13391
13392
13393
13394
13395
13396
13397
13398
13399
13400
13401
13402
13403
13404
13405
13406
13407
13408
13409
13410
13411
13412
13413
13414
13415
13416
13417
13418
13419
13420
13421
13422
13423
13424
13425
13426
13427
13428
13429
13430
13431
13432
13433
13434
13435
13436
13437
13438
13439
13440
13441
13442
13443
13444
13445
13446
13447
13448
13449
13450
13451
13452
13453
13454
13455
13456
13457
13458
13459
13460
13461
13462
13463
13464
13465
13466
13467
13468
13469
13470
13471
13472
13473
13474
13475
13476
13477
13478
13479
13480
13481
13482
13483
13484
13485
13486
13487
13488
13489
13490
13491
13492
13493
13494
13495
13496
13497
13498
13499
13500
13501
13502
13503
13504
13505
13506
13507
13508
13509
13510
13511
13512
13513
13514
13515
13516
13517
13518
13519
13520
13521
13522
13523
13524
13525
13526
13527
13528
13529
13530
13531
13532
13533
13534
13535
13536
13537
13538
13539
13540
13541
13542
13543
13544
13545
13546
13547
13548
13549
13550
13551
13552
13553
13554
13555
13556
13557
13558
13559
13560
13561
13562
13563
13564
13565
13566
13567
13568
13569
13570
13571
13572
13573
13574
13575
13576
13577
13578
13579
13580
13581
13582
13583
13584
13585
13586
13587
13588
13589
13590
13591
13592
13593
13594
13595
13596
13597
13598
13599
13600
13601
13602
13603
13604
13605
13606
13607
13608
13609
13610
13611
13612
13613
13614
13615
13616
13617
13618
13619
13620
13621
13622
13623
13624
13625
13626
13627
13628
13629
13630
13631
13632
13633
13634
13635
13636
13637
13638
13639
13640
13641
13642
13643
13644
13645
13646
13647
13648
13649
13650
13651
13652
13653
13654
13655
13656
13657
13658
13659
13660
13661
13662
13663
13664
13665
13666
13667
13668
13669
13670
13671
13672
13673
13674
13675
13676
13677
13678
13679
13680
13681
13682
13683
13684
13685
13686
13687
13688
13689
13690
13691
13692
13693
13694
13695
13696
13697
13698
13699
13700
13701
13702
13703
13704
13705
13706
13707
13708
13709
13710
13711
13712
13713
13714
13715
13716
13717
13718
13719
13720
13721
13722
13723
13724
13725
13726
13727
13728
13729
13730
13731
13732
13733
13734
13735
13736
13737
13738
13739
13740
13741
13742
13743
13744
13745
13746
13747
13748
13749
13750
13751
13752
13753
13754
13755
13756
13757
13758
13759
13760
13761
13762
13763
13764
13765
13766
13767
13768
13769
13770
13771
13772
13773
13774
13775
13776
13777
13778
13779
13780
13781
13782
13783
13784
13785
13786
13787
13788
13789
13790
13791
13792
13793
13794
13795
13796
13797
13798
13799
13800
13801
13802
13803
13804
13805
13806
13807
13808
13809
13810
13811
13812
13813
13814
13815
13816
13817
13818
13819
13820
13821
13822
13823
13824
13825
13826
13827
13828
13829
13830
13831
13832
13833
13834
13835
13836
13837
13838
13839
13840
13841
13842
13843
13844
13845
13846
13847
13848
13849
13850
13851
13852
13853
13854
13855
13856
13857
13858
13859
13860
13861
13862
13863
13864
13865
13866
13867
13868
13869
13870
13871
13872
13873
13874
13875
13876
13877
13878
13879
13880
13881
13882
13883
13884
13885
13886
13887
13888
13889
13890
13891
13892
13893
13894
13895
13896
13897
13898
13899
13900
13901
13902
13903
13904
13905
13906
13907
13908
13909
13910
13911
13912
13913
13914
13915
13916
13917
13918
13919
13920
13921
13922
13923
13924
13925
13926
13927
13928
13929
13930
13931
13932
13933
13934
13935
13936
13937
13938
13939
13940
13941
13942
13943
13944
13945
13946
13947
13948
13949
13950
13951
13952
13953
13954
13955
13956
13957
13958
13959
13960
13961
13962
13963
13964
13965
13966
13967
13968
13969
13970
13971
13972
13973
13974
13975
13976
13977
13978
13979
13980
13981
13982
13983
13984
13985
13986
13987
13988
13989
13990
13991
13992
13993
13994
13995
13996
13997
13998
13999
14000
14001
14002
14003
14004
14005
14006
14007
14008
14009
14010
14011
14012
14013
14014
14015
14016
14017
14018
14019
14020
14021
14022
14023
14024
14025
14026
14027
14028
14029
14030
14031
14032
14033
14034
14035
14036
14037
14038
14039
14040
14041
14042
14043
14044
14045
14046
14047
14048
14049
14050
14051
14052
14053
14054
14055
14056
14057
14058
14059
14060
14061
14062
14063
14064
14065
14066
14067
14068
14069
14070
14071
14072
14073
14074
14075
14076
14077
14078
14079
14080
14081
14082
14083
14084
14085
14086
14087
14088
14089
14090
14091
14092
14093
14094
14095
14096
14097
14098
14099
14100
14101
14102
14103
14104
14105
14106
14107
14108
14109
14110
14111
14112
14113
14114
14115
14116
14117
14118
14119
14120
14121
14122
14123
14124
14125
14126
14127
14128
14129
14130
14131
14132
14133
14134
14135
14136
14137
14138
14139
14140
14141
14142
14143
14144
14145
14146
14147
14148
14149
14150
14151
14152
14153
14154
14155
14156
14157
14158
14159
14160
14161
14162
14163
14164
14165
14166
14167
14168
14169
14170
14171
14172
14173
14174
14175
14176
14177
14178
14179
14180
14181
14182
14183
14184
14185
14186
14187
14188
14189
14190
14191
14192
14193
14194
14195
14196
14197
14198
14199
14200
14201
14202
14203
14204
14205
14206
14207
14208
14209
14210
14211
14212
14213
14214
14215
14216
14217
14218
14219
14220
14221
14222
14223
14224
14225
14226
14227
14228
14229
14230
14231
14232
14233
14234
14235
14236
14237
14238
14239
14240
14241
14242
14243
14244
14245
14246
14247
14248
14249
14250
14251
14252
14253
14254
14255
14256
14257
14258
14259
14260
14261
14262
14263
14264
14265
14266
14267
14268
14269
14270
14271
14272
14273
14274
14275
14276
14277
14278
14279
14280
14281
14282
14283
14284
14285
14286
14287
14288
14289
14290
14291
14292
14293
14294
14295
14296
14297
14298
14299
14300
14301
14302
14303
14304
14305
14306
14307
14308
14309
14310
14311
14312
14313
14314
14315
14316
14317
14318
14319
14320
14321
14322
14323
14324
14325
14326
14327
14328
14329
14330
14331
14332
14333
14334
14335
14336
14337
14338
14339
14340
14341
14342
14343
14344
14345
14346
14347
14348
14349
14350
14351
14352
14353
14354
14355
14356
14357
14358
14359
14360
14361
14362
14363
14364
14365
14366
14367
14368
14369
14370
14371
14372
14373
14374
14375
14376
14377
14378
14379
14380
14381
14382
14383
14384
14385
14386
14387
14388
14389
14390
14391
14392
14393
14394
14395
14396
14397
14398
14399
14400
14401
14402
14403
14404
14405
14406
14407
14408
14409
14410
14411
14412
14413
14414
14415
14416
14417
14418
14419
14420
14421
14422
14423
14424
14425
14426
14427
14428
14429
14430
14431
14432
14433
14434
14435
14436
14437
14438
14439
14440
14441
14442
14443
14444
14445
14446
14447
14448
14449
14450
14451
14452
14453
14454
14455
14456
14457
14458
14459
14460
14461
14462
14463
14464
14465
14466
14467
14468
14469
14470
14471
14472
14473
14474
14475
14476
14477
14478
14479
14480
14481
14482
14483
14484
14485
14486
14487
14488
14489
14490
14491
14492
14493
14494
14495
14496
14497
14498
14499
14500
14501
14502
14503
14504
14505
14506
14507
14508
14509
14510
14511
14512
14513
14514
14515
14516
14517
14518
14519
14520
14521
14522
14523
14524
14525
14526
14527
14528
14529
14530
14531
14532
14533
14534
14535
14536
14537
14538
14539
14540
14541
14542
14543
14544
14545
14546
14547
14548
14549
14550
14551
14552
14553
14554
14555
14556
14557
14558
14559
14560
14561
14562
14563
14564
14565
14566
14567
14568
14569
14570
14571
14572
14573
14574
14575
14576
14577
14578
14579
14580
14581
14582
14583
14584
14585
14586
14587
14588
14589
14590
14591
14592
14593
14594
14595
14596
14597
14598
14599
14600
14601
14602
14603
14604
14605
14606
14607
14608
14609
14610
14611
14612
14613
14614
14615
14616
14617
14618
14619
14620
14621
14622
14623
14624
14625
14626
14627
14628
14629
14630
14631
14632
14633
14634
14635
14636
14637
14638
14639
14640
14641
14642
14643
14644
14645
14646
14647
14648
14649
14650
14651
14652
14653
14654
14655
14656
14657
14658
14659
14660
14661
14662
14663
14664
14665
14666
14667
14668
14669
14670
14671
14672
14673
14674
14675
14676
14677
14678
14679
14680
14681
14682
14683
14684
14685
14686
14687
14688
14689
14690
14691
14692
14693
14694
14695
14696
14697
14698
14699
14700
14701
14702
14703
14704
14705
14706
14707
14708
14709
14710
14711
14712
14713
14714
14715
14716
14717
14718
14719
14720
14721
14722
14723
14724
14725
14726
14727
14728
14729
14730
14731
14732
14733
14734
14735
14736
14737
14738
14739
14740
14741
14742
14743
14744
14745
14746
14747
14748
14749
14750
14751
14752
14753
14754
14755
14756
14757
14758
14759
14760
14761
14762
14763
14764
14765
14766
14767
14768
14769
14770
14771
14772
14773
14774
14775
14776
14777
14778
14779
14780
14781
14782
14783
14784
14785
14786
14787
14788
14789
14790
14791
14792
14793
14794
14795
14796
14797
14798
14799
14800
14801
14802
14803
14804
14805
14806
14807
14808
14809
14810
14811
14812
14813
14814
14815
14816
14817
14818
14819
14820
14821
14822
14823
14824
14825
14826
14827
14828
14829
14830
14831
14832
14833
14834
14835
14836
14837
14838
14839
14840
14841
14842
14843
14844
14845
14846
14847
14848
14849
14850
14851
14852
14853
14854
14855
14856
14857
14858
14859
14860
14861
14862
14863
14864
14865
14866
14867
14868
14869
14870
14871
14872
14873
14874
14875
14876
14877
14878
14879
14880
14881
14882
14883
14884
14885
14886
14887
14888
14889
14890
14891
14892
14893
14894
14895
14896
14897
14898
14899
14900
14901
14902
14903
14904
14905
14906
14907
14908
14909
14910
14911
14912
14913
14914
14915
14916
14917
14918
14919
14920
14921
14922
14923
14924
14925
14926
14927
14928
14929
14930
14931
14932
14933
14934
14935
14936
14937
14938
14939
14940
14941
14942
14943
14944
14945
14946
14947
14948
14949
14950
14951
14952
14953
14954
14955
14956
14957
14958
14959
14960
14961
14962
14963
14964
14965
14966
14967
14968
14969
14970
14971
14972
14973
14974
14975
14976
14977
14978
14979
14980
14981
14982
14983
14984
14985
14986
14987
14988
14989
14990
14991
14992
14993
14994
14995
14996
14997
14998
14999
15000
15001
15002
15003
15004
15005
15006
15007
15008
15009
15010
15011
15012
15013
15014
15015
15016
15017
15018
15019
15020
15021
15022
15023
15024
15025
15026
15027
15028
15029
15030
15031
15032
15033
15034
15035
15036
15037
15038
15039
15040
15041
15042
15043
15044
15045
15046
15047
15048
15049
15050
15051
15052
15053
15054
15055
15056
15057
15058
15059
15060
15061
15062
15063
15064
15065
15066
15067
15068
15069
15070
15071
15072
15073
15074
15075
15076
15077
15078
15079
15080
15081
15082
15083
15084
15085
15086
15087
15088
15089
15090
15091
15092
15093
15094
15095
15096
15097
15098
15099
15100
15101
15102
15103
15104
15105
15106
15107
15108
15109
15110
15111
15112
15113
15114
15115
15116
15117
15118
15119
15120
15121
15122
15123
15124
15125
15126
15127
15128
15129
15130
15131
15132
15133
15134
15135
15136
15137
15138
15139
15140
15141
15142
15143
15144
15145
15146
15147
15148
15149
15150
15151
15152
15153
15154
15155
15156
15157
15158
15159
15160
15161
15162
15163
15164
15165
15166
15167
15168
15169
15170
15171
15172
15173
15174
15175
15176
15177
15178
15179
15180
15181
15182
15183
15184
15185
15186
15187
15188
15189
15190
15191
15192
15193
15194
15195
15196
15197
15198
15199
15200
15201
15202
15203
15204
15205
15206
15207
15208
15209
15210
15211
15212
15213
15214
15215
15216
15217
15218
15219
15220
15221
15222
15223
15224
15225
15226
15227
15228
15229
15230
15231
15232
15233
15234
15235
15236
15237
15238
15239
15240
15241
15242
15243
15244
15245
15246
15247
15248
15249
15250
15251
15252
15253
15254
15255
15256
15257
15258
15259
15260
15261
15262
15263
15264
15265
15266
15267
15268
15269
15270
15271
15272
15273
15274
15275
15276
15277
15278
15279
15280
15281
15282
15283
15284
15285
15286
15287
15288
15289
15290
15291
15292
15293
15294
15295
15296
15297
15298
15299
15300
15301
15302
15303
15304
15305
15306
15307
15308
15309
15310
15311
15312
15313
15314
15315
15316
15317
15318
15319
15320
15321
15322
15323
15324
15325
15326
15327
15328
15329
15330
15331
15332
15333
15334
15335
15336
15337
15338
15339
15340
15341
15342
15343
15344
15345
15346
15347
15348
15349
15350
15351
15352
15353
15354
15355
15356
15357
15358
15359
15360
15361
15362
15363
15364
15365
15366
15367
15368
15369
15370
15371
15372
15373
15374
15375
15376
15377
15378
15379
15380
15381
15382
15383
15384
15385
15386
15387
15388
15389
15390
15391
15392
15393
15394
15395
15396
15397
15398
15399
15400
15401
15402
15403
15404
15405
15406
15407
15408
15409
15410
15411
15412
15413
15414
15415
15416
15417
15418
15419
15420
15421
15422
15423
15424
15425
15426
15427
15428
15429
15430
15431
15432
15433
15434
15435
15436
15437
15438
15439
15440
15441
15442
15443
15444
15445
15446
15447
15448
15449
15450
15451
15452
15453
15454
15455
15456
15457
15458
15459
15460
15461
15462
15463
15464
15465
15466
15467
15468
15469
15470
15471
15472
15473
15474
15475
15476
15477
15478
15479
15480
15481
15482
15483
15484
15485
15486
15487
15488
15489
15490
15491
15492
15493
15494
15495
15496
15497
15498
15499
15500
15501
15502
15503
15504
15505
15506
15507
15508
15509
15510
15511
15512
15513
15514
15515
15516
15517
15518
15519
15520
15521
15522
15523
15524
15525
15526
15527
15528
15529
15530
15531
15532
15533
15534
15535
15536
15537
15538
15539
15540
15541
15542
15543
15544
15545
15546
15547
15548
15549
15550
15551
15552
15553
15554
15555
15556
15557
15558
15559
15560
15561
15562
15563
15564
15565
15566
15567
15568
15569
15570
15571
15572
15573
15574
15575
15576
15577
15578
15579
15580
15581
15582
15583
15584
15585
15586
15587
15588
15589
15590
15591
15592
15593
15594
15595
15596
15597
15598
15599
15600
15601
15602
15603
15604
15605
15606
15607
15608
15609
15610
15611
15612
15613
15614
15615
15616
15617
15618
15619
15620
15621
15622
15623
15624
15625
15626
15627
15628
15629
15630
15631
15632
15633
15634
15635
15636
15637
15638
15639
15640
15641
15642
15643
15644
15645
15646
15647
15648
15649
15650
15651
15652
15653
15654
15655
15656
15657
15658
15659
15660
15661
15662
15663
15664
15665
15666
15667
15668
15669
15670
15671
15672
15673
15674
15675
15676
15677
15678
15679
15680
15681
15682
15683
15684
15685
15686
15687
15688
15689
15690
15691
15692
15693
15694
15695
15696
15697
15698
15699
15700
15701
15702
15703
15704
15705
15706
15707
15708
15709
15710
15711
15712
15713
15714
15715
15716
15717
15718
15719
15720
15721
15722
15723
15724
15725
15726
15727
15728
15729
15730
15731
15732
15733
15734
15735
15736
15737
15738
15739
15740
15741
15742
15743
15744
15745
15746
15747
15748
15749
15750
15751
15752
15753
15754
15755
15756
15757
15758
15759
15760
15761
15762
15763
15764
15765
15766
15767
15768
15769
15770
15771
15772
15773
15774
15775
15776
15777
15778
15779
15780
15781
15782
15783
15784
15785
15786
15787
15788
15789
15790
15791
15792
15793
15794
15795
15796
15797
15798
15799
15800
15801
15802
15803
15804
15805
15806
15807
15808
15809
15810
15811
15812
15813
15814
15815
15816
15817
15818
15819
15820
15821
15822
15823
15824
15825
15826
15827
15828
15829
15830
15831
15832
15833
15834
15835
15836
15837
15838
15839
15840
15841
15842
15843
15844
15845
15846
15847
15848
15849
15850
15851
15852
15853
15854
15855
15856
15857
15858
15859
15860
15861
15862
15863
15864
15865
15866
15867
15868
15869
15870
15871
15872
15873
15874
15875
15876
15877
15878
15879
15880
15881
15882
15883
15884
15885
15886
15887
15888
15889
15890
15891
15892
15893
15894
15895
15896
15897
15898
15899
15900
15901
15902
15903
15904
15905
15906
15907
15908
15909
15910
15911
15912
15913
15914
15915
15916
15917
15918
15919
15920
15921
15922
15923
15924
15925
15926
15927
15928
15929
15930
15931
15932
15933
15934
15935
15936
15937
15938
15939
15940
15941
15942
15943
15944
15945
15946
15947
15948
15949
15950
15951
15952
15953
15954
15955
15956
15957
15958
15959
15960
15961
15962
15963
15964
15965
15966
15967
15968
15969
15970
15971
15972
15973
15974
15975
15976
15977
15978
15979
15980
15981
15982
15983
15984
15985
15986
15987
15988
15989
15990
15991
15992
15993
15994
15995
15996
15997
15998
15999
16000
16001
16002
16003
16004
16005
16006
16007
16008
16009
16010
16011
16012
16013
16014
16015
16016
16017
16018
16019
16020
16021
16022
16023
16024
16025
16026
16027
16028
16029
16030
16031
16032
16033
16034
16035
16036
16037
16038
16039
16040
16041
16042
16043
16044
16045
16046
16047
16048
16049
16050
16051
16052
16053
16054
16055
16056
16057
16058
16059
16060
16061
16062
16063
16064
16065
16066
16067
16068
16069
16070
16071
16072
16073
16074
16075
16076
16077
16078
16079
16080
16081
16082
16083
16084
16085
16086
16087
16088
16089
16090
16091
16092
16093
16094
16095
16096
16097
16098
16099
16100
16101
16102
16103
16104
16105
16106
16107
16108
16109
16110
16111
16112
16113
16114
16115
16116
16117
16118
16119
16120
16121
16122
16123
16124
16125
16126
16127
16128
16129
16130
16131
16132
16133
16134
16135
16136
16137
16138
16139
16140
16141
16142
16143
16144
16145
16146
16147
16148
16149
16150
16151
16152
16153
16154
16155
16156
16157
16158
16159
16160
16161
16162
16163
16164
16165
16166
16167
16168
16169
16170
16171
16172
16173
16174
16175
16176
16177
16178
16179
16180
16181
16182
16183
16184
16185
16186
16187
16188
16189
16190
16191
16192
16193
16194
16195
16196
16197
16198
16199
16200
16201
16202
16203
16204
16205
16206
16207
16208
16209
16210
16211
16212
16213
16214
16215
16216
16217
16218
16219
16220
16221
16222
16223
16224
16225
16226
16227
16228
16229
16230
16231
16232
16233
16234
16235
16236
16237
16238
16239
16240
16241
16242
16243
16244
16245
16246
16247
16248
16249
16250
16251
16252
16253
16254
16255
16256
16257
16258
16259
16260
16261
16262
16263
16264
16265
16266
16267
16268
16269
16270
16271
16272
16273
16274
16275
16276
16277
16278
16279
16280
16281
16282
16283
16284
16285
16286
16287
16288
16289
16290
16291
16292
16293
16294
16295
16296
16297
16298
16299
16300
16301
16302
16303
16304
16305
16306
16307
16308
16309
16310
16311
16312
16313
16314
16315
16316
16317
16318
16319
16320
16321
16322
16323
16324
16325
16326
16327
16328
16329
16330
16331
16332
16333
16334
16335
16336
16337
16338
16339
16340
16341
16342
16343
16344
16345
16346
16347
16348
16349
16350
16351
16352
16353
16354
16355
16356
16357
16358
16359
16360
16361
16362
16363
16364
16365
16366
16367
16368
16369
16370
16371
16372
16373
16374
16375
16376
16377
16378
16379
16380
16381
16382
16383
16384
16385
16386
16387
16388
16389
16390
16391
16392
16393
16394
16395
16396
16397
16398
16399
16400
16401
16402
16403
16404
16405
16406
16407
16408
16409
16410
16411
16412
16413
16414
16415
16416
16417
16418
16419
16420
16421
16422
16423
16424
16425
16426
16427
16428
16429
16430
16431
16432
16433
16434
16435
16436
16437
16438
16439
16440
16441
16442
16443
16444
16445
16446
16447
16448
16449
16450
16451
16452
16453
16454
16455
16456
16457
16458
16459
16460
16461
16462
16463
16464
16465
16466
16467
16468
16469
16470
16471
16472
16473
16474
16475
16476
16477
16478
16479
16480
16481
16482
16483
16484
16485
16486
16487
16488
16489
16490
16491
16492
16493
16494
16495
16496
16497
16498
16499
16500
16501
16502
16503
16504
16505
16506
16507
16508
16509
16510
16511
16512
16513
16514
16515
16516
16517
16518
16519
16520
16521
16522
16523
16524
16525
16526
16527
16528
16529
16530
16531
16532
16533
16534
16535
16536
16537
16538
16539
16540
16541
16542
16543
16544
16545
16546
16547
16548
16549
16550
16551
16552
16553
16554
16555
16556
16557
16558
16559
16560
16561
16562
16563
16564
16565
16566
16567
16568
16569
16570
16571
16572
16573
16574
16575
16576
16577
16578
16579
16580
16581
16582
16583
16584
16585
16586
16587
16588
16589
16590
16591
16592
16593
16594
16595
16596
16597
16598
16599
16600
16601
16602
16603
16604
16605
16606
16607
16608
16609
16610
16611
16612
16613
16614
16615
16616
16617
16618
16619
16620
16621
16622
16623
16624
16625
16626
16627
16628
16629
16630
16631
16632
16633
16634
16635
16636
16637
16638
16639
16640
16641
16642
16643
16644
16645
16646
16647
16648
16649
16650
16651
16652
16653
16654
16655
16656
16657
16658
16659
16660
16661
16662
16663
16664
16665
16666
16667
16668
16669
16670
16671
16672
16673
16674
16675
16676
16677
16678
16679
16680
16681
16682
16683
16684
16685
16686
16687
16688
16689
16690
16691
16692
16693
16694
16695
16696
16697
16698
16699
16700
16701
16702
16703
16704
16705
16706
16707
16708
16709
16710
16711
16712
16713
16714
16715
16716
16717
16718
16719
16720
16721
16722
16723
16724
16725
16726
16727
16728
16729
16730
16731
16732
16733
16734
16735
16736
16737
16738
16739
16740
16741
16742
16743
16744
16745
16746
16747
16748
16749
16750
16751
16752
16753
16754
16755
16756
16757
16758
16759
16760
16761
16762
16763
16764
16765
16766
16767
16768
16769
16770
16771
16772
16773
16774
16775
16776
16777
16778
16779
16780
16781
16782
16783
16784
16785
16786
16787
16788
16789
16790
16791
16792
16793
16794
16795
16796
16797
16798
16799
16800
16801
16802
16803
16804
16805
16806
16807
16808
16809
16810
16811
16812
16813
16814
16815
16816
16817
16818
16819
16820
16821
16822
16823
16824
16825
16826
16827
16828
16829
16830
16831
16832
16833
16834
16835
16836
16837
16838
16839
16840
16841
16842
16843
16844
16845
16846
16847
16848
16849
16850
16851
16852
16853
16854
16855
16856
16857
16858
16859
16860
16861
16862
16863
16864
16865
16866
16867
16868
16869
16870
16871
16872
16873
16874
16875
16876
16877
16878
16879
16880
16881
16882
16883
16884
16885
16886
16887
16888
16889
16890
16891
16892
16893
16894
16895
16896
16897
16898
16899
16900
16901
16902
16903
16904
16905
16906
16907
16908
16909
16910
16911
16912
16913
16914
16915
16916
16917
16918
16919
16920
16921
16922
16923
16924
16925
16926
16927
16928
16929
16930
16931
16932
16933
16934
16935
16936
16937
16938
16939
16940
16941
16942
16943
16944
16945
16946
16947
16948
16949
16950
16951
16952
16953
16954
16955
16956
16957
16958
16959
16960
16961
16962
16963
16964
16965
16966
16967
16968
16969
16970
16971
16972
16973
16974
16975
16976
16977
16978
16979
16980
16981
16982
16983
16984
16985
16986
16987
16988
16989
16990
16991
16992
16993
16994
16995
16996
16997
16998
16999
17000
17001
17002
17003
17004
17005
17006
17007
17008
17009
17010
17011
17012
17013
17014
17015
17016
17017
17018
17019
17020
17021
17022
17023
17024
17025
17026
17027
17028
17029
17030
17031
17032
17033
17034
17035
17036
17037
17038
17039
17040
17041
17042
17043
17044
17045
17046
17047
17048
17049
17050
17051
17052
17053
17054
17055
17056
17057
17058
17059
17060
17061
17062
17063
17064
17065
17066
17067
17068
17069
17070
17071
17072
17073
17074
17075
17076
17077
17078
17079
17080
17081
17082
17083
17084
17085
17086
17087
17088
17089
17090
17091
17092
17093
17094
17095
17096
17097
17098
17099
17100
17101
17102
17103
17104
17105
17106
17107
17108
17109
17110
17111
17112
17113
17114
17115
17116
17117
17118
17119
17120
17121
17122
17123
17124
17125
17126
17127
17128
17129
17130
17131
17132
17133
17134
17135
17136
17137
17138
17139
17140
17141
17142
17143
17144
17145
17146
17147
17148
17149
17150
17151
17152
17153
17154
17155
17156
17157
17158
17159
17160
17161
17162
17163
17164
17165
17166
17167
17168
17169
17170
17171
17172
17173
17174
17175
17176
17177
17178
17179
17180
17181
17182
17183
17184
17185
17186
17187
17188
17189
17190
17191
17192
17193
17194
17195
17196
17197
17198
17199
17200
17201
17202
17203
17204
17205
17206
17207
17208
17209
17210
17211
17212
17213
17214
17215
17216
17217
17218
17219
17220
17221
17222
17223
17224
17225
17226
17227
17228
17229
17230
17231
17232
17233
17234
17235
17236
17237
17238
17239
17240
17241
17242
17243
17244
17245
17246
17247
17248
17249
17250
17251
17252
17253
17254
17255
17256
17257
17258
17259
17260
17261
17262
17263
17264
17265
17266
17267
17268
17269
17270
17271
17272
17273
17274
17275
17276
17277
17278
17279
17280
17281
17282
17283
17284
17285
17286
17287
17288
17289
17290
17291
17292
17293
17294
17295
17296
17297
17298
17299
17300
17301
17302
17303
17304
17305
17306
17307
17308
17309
17310
17311
17312
17313
17314
17315
17316
17317
17318
17319
17320
17321
17322
17323
17324
17325
17326
17327
17328
17329
17330
17331
17332
17333
17334
17335
17336
17337
17338
17339
17340
17341
17342
17343
17344
17345
17346
17347
17348
17349
17350
17351
17352
17353
17354
17355
17356
17357
17358
17359
17360
17361
17362
17363
17364
17365
17366
17367
17368
17369
17370
17371
17372
17373
17374
17375
17376
17377
17378
17379
17380
17381
17382
17383
17384
17385
17386
17387
17388
17389
17390
17391
17392
17393
17394
17395
17396
17397
17398
17399
17400
17401
17402
17403
17404
17405
17406
17407
17408
17409
17410
17411
17412
17413
17414
17415
17416
17417
17418
17419
17420
17421
17422
17423
17424
17425
17426
17427
17428
17429
17430
17431
17432
17433
17434
17435
17436
17437
17438
17439
17440
17441
17442
17443
17444
17445
17446
17447
17448
17449
17450
17451
17452
17453
17454
17455
17456
17457
17458
17459
17460
17461
17462
17463
17464
17465
17466
17467
17468
17469
17470
17471
17472
17473
17474
17475
17476
17477
17478
17479
17480
17481
17482
17483
17484
17485
17486
17487
17488
17489
17490
17491
17492
17493
17494
17495
17496
17497
17498
17499
17500
17501
17502
17503
17504
17505
17506
17507
17508
17509
17510
17511
17512
17513
17514
17515
17516
17517
17518
17519
17520
17521
17522
17523
17524
17525
17526
17527
17528
17529
17530
17531
17532
17533
17534
17535
17536
17537
17538
17539
17540
17541
17542
17543
17544
17545
17546
17547
17548
17549
17550
17551
17552
17553
17554
17555
17556
17557
17558
17559
17560
17561
17562
17563
17564
17565
17566
17567
17568
17569
17570
17571
17572
17573
17574
17575
17576
17577
17578
17579
17580
17581
17582
17583
17584
17585
17586
17587
17588
17589
17590
17591
17592
17593
17594
17595
17596
17597
17598
17599
17600
17601
17602
17603
17604
17605
17606
17607
17608
17609
17610
17611
17612
17613
17614
17615
17616
17617
17618
17619
17620
17621
17622
17623
17624
17625
17626
17627
17628
17629
17630
17631
17632
17633
17634
17635
17636
17637
17638
17639
17640
17641
17642
17643
17644
17645
17646
17647
17648
17649
17650
17651
17652
17653
17654
17655
17656
17657
17658
17659
17660
17661
17662
17663
17664
17665
17666
17667
17668
17669
17670
17671
17672
17673
17674
17675
17676
17677
17678
17679
17680
17681
17682
17683
17684
17685
17686
17687
17688
17689
17690
17691
17692
17693
17694
17695
17696
17697
17698
17699
17700
17701
17702
17703
17704
17705
17706
17707
17708
17709
17710
17711
17712
17713
17714
17715
17716
17717
17718
17719
17720
17721
17722
17723
17724
17725
17726
17727
17728
17729
17730
17731
17732
17733
17734
17735
17736
17737
17738
17739
17740
17741
17742
17743
17744
17745
17746
17747
17748
17749
17750
17751
17752
17753
17754
17755
17756
17757
17758
17759
17760
17761
17762
17763
17764
17765
17766
17767
17768
17769
17770
17771
17772
17773
17774
17775
17776
17777
17778
17779
17780
17781
17782
17783
17784
17785
17786
17787
17788
17789
17790
17791
17792
17793
17794
17795
17796
17797
17798
17799
17800
17801
17802
17803
17804
17805
17806
17807
17808
17809
17810
17811
17812
17813
17814
17815
17816
17817
17818
17819
17820
17821
17822
17823
17824
17825
17826
17827
17828
17829
17830
17831
17832
17833
17834
17835
17836
17837
17838
17839
17840
17841
17842
17843
17844
17845
17846
17847
17848
17849
17850
17851
17852
17853
17854
17855
17856
17857
17858
17859
17860
17861
17862
17863
17864
17865
17866
17867
17868
17869
17870
17871
17872
17873
17874
17875
17876
17877
17878
17879
17880
17881
17882
17883
17884
17885
17886
17887
17888
17889
17890
17891
17892
17893
17894
17895
17896
17897
17898
17899
17900
17901
17902
17903
17904
17905
17906
17907
17908
17909
17910
17911
17912
17913
17914
17915
17916
17917
17918
17919
17920
17921
17922
17923
17924
17925
17926
17927
17928
17929
17930
17931
17932
17933
17934
17935
17936
17937
17938
17939
17940
17941
17942
17943
17944
17945
17946
17947
17948
17949
17950
17951
17952
17953
17954
17955
17956
17957
17958
17959
17960
17961
17962
17963
17964
17965
17966
17967
17968
17969
17970
17971
17972
17973
17974
17975
17976
17977
17978
17979
17980
17981
17982
17983
17984
17985
17986
17987
17988
17989
17990
17991
17992
17993
17994
17995
17996
17997
17998
17999
18000
18001
18002
18003
18004
18005
18006
18007
18008
18009
18010
18011
18012
18013
18014
18015
18016
18017
18018
18019
18020
18021
18022
18023
18024
18025
18026
18027
18028
18029
18030
18031
18032
18033
18034
18035
18036
18037
18038
18039
18040
18041
18042
18043
18044
18045
18046
18047
18048
18049
18050
18051
18052
18053
18054
18055
18056
18057
18058
18059
18060
18061
18062
18063
18064
18065
18066
18067
18068
18069
18070
18071
18072
18073
18074
18075
18076
18077
18078
18079
18080
18081
18082
18083
18084
18085
18086
18087
18088
18089
18090
18091
18092
18093
18094
18095
18096
18097
18098
18099
18100
18101
18102
18103
18104
18105
18106
18107
18108
18109
18110
18111
18112
18113
18114
18115
18116
18117
18118
18119
18120
18121
18122
18123
18124
18125
18126
18127
18128
18129
18130
18131
18132
18133
18134
18135
18136
18137
18138
18139
18140
18141
18142
18143
18144
18145
18146
18147
18148
18149
18150
18151
18152
18153
18154
18155
18156
18157
18158
18159
18160
18161
18162
18163
18164
18165
18166
18167
18168
18169
18170
18171
18172
18173
18174
18175
18176
18177
18178
18179
18180
18181
18182
18183
18184
18185
18186
18187
18188
18189
18190
18191
18192
18193
18194
18195
18196
18197
18198
18199
18200
18201
18202
18203
18204
18205
18206
18207
18208
18209
18210
18211
18212
18213
18214
18215
18216
18217
18218
18219
18220
18221
18222
18223
18224
18225
18226
18227
18228
18229
18230
18231
18232
18233
18234
18235
18236
18237
18238
18239
18240
18241
18242
18243
18244
18245
18246
18247
18248
18249
18250
18251
18252
18253
18254
18255
18256
18257
18258
18259
18260
18261
18262
18263
18264
18265
18266
18267
18268
18269
18270
18271
18272
18273
18274
18275
18276
18277
18278
18279
18280
18281
18282
18283
18284
18285
18286
18287
18288
18289
18290
18291
18292
18293
18294
18295
18296
18297
18298
18299
18300
18301
18302
18303
18304
18305
18306
18307
18308
18309
18310
18311
18312
18313
18314
18315
18316
18317
18318
18319
18320
18321
18322
18323
18324
18325
18326
18327
18328
18329
18330
18331
18332
18333
18334
18335
18336
18337
18338
18339
18340
18341
18342
18343
18344
18345
18346
18347
18348
18349
18350
18351
18352
18353
18354
18355
18356
18357
18358
18359
18360
18361
18362
18363
18364
18365
18366
18367
18368
18369
18370
18371
18372
18373
18374
18375
18376
18377
18378
18379
18380
18381
18382
18383
18384
18385
18386
18387
18388
18389
18390
18391
18392
18393
18394
18395
18396
18397
18398
18399
18400
18401
18402
18403
18404
18405
18406
18407
18408
18409
18410
18411
18412
18413
18414
18415
18416
18417
18418
18419
18420
18421
18422
18423
18424
18425
18426
18427
18428
18429
18430
18431
18432
18433
18434
18435
18436
18437
18438
18439
18440
18441
18442
18443
18444
18445
18446
18447
18448
18449
18450
18451
18452
18453
18454
18455
18456
18457
18458
18459
18460
18461
18462
18463
18464
18465
18466
18467
18468
18469
18470
18471
18472
18473
18474
18475
18476
18477
18478
18479
18480
18481
18482
18483
18484
18485
18486
18487
18488
18489
18490
18491
18492
18493
18494
18495
18496
18497
18498
18499
18500
18501
18502
18503
18504
18505
18506
18507
18508
18509
18510
18511
18512
18513
18514
18515
18516
18517
18518
18519
18520
18521
18522
18523
18524
18525
18526
18527
18528
18529
18530
18531
18532
18533
18534
18535
18536
18537
18538
18539
18540
18541
18542
18543
18544
18545
18546
18547
18548
18549
18550
18551
18552
18553
18554
18555
18556
18557
18558
18559
18560
18561
18562
18563
18564
18565
18566
18567
18568
18569
18570
18571
18572
18573
18574
18575
18576
18577
18578
18579
18580
18581
18582
18583
18584
18585
18586
18587
18588
18589
18590
18591
18592
18593
18594
18595
18596
18597
18598
18599
18600
18601
18602
18603
18604
18605
18606
18607
18608
18609
18610
18611
18612
18613
18614
18615
18616
18617
18618
18619
18620
18621
18622
18623
18624
18625
18626
18627
18628
18629
18630
18631
18632
18633
18634
18635
18636
18637
18638
18639
18640
18641
18642
18643
18644
18645
18646
18647
18648
18649
18650
18651
18652
18653
18654
18655
18656
18657
18658
18659
18660
18661
18662
18663
18664
18665
18666
18667
18668
18669
18670
18671
18672
18673
18674
18675
18676
18677
18678
18679
18680
18681
18682
18683
18684
18685
18686
18687
18688
18689
18690
18691
18692
18693
18694
18695
18696
18697
18698
18699
18700
18701
18702
18703
18704
18705
18706
18707
18708
18709
18710
18711
18712
18713
18714
18715
18716
18717
18718
18719
18720
18721
18722
18723
18724
18725
18726
18727
18728
18729
18730
18731
18732
18733
18734
18735
18736
18737
18738
18739
18740
18741
18742
18743
18744
18745
18746
18747
18748
18749
18750
18751
18752
18753
18754
18755
18756
18757
18758
18759
18760
18761
18762
18763
18764
18765
18766
18767
18768
18769
18770
18771
18772
18773
18774
18775
18776
18777
18778
18779
18780
18781
18782
18783
18784
18785
18786
18787
18788
18789
18790
18791
18792
18793
18794
18795
18796
18797
18798
18799
18800
18801
18802
18803
18804
18805
18806
18807
18808
18809
18810
18811
18812
18813
18814
18815
18816
18817
18818
18819
18820
18821
18822
18823
18824
18825
18826
18827
18828
18829
18830
18831
18832
18833
18834
18835
18836
18837
18838
18839
18840
18841
18842
18843
18844
18845
18846
18847
18848
18849
18850
18851
18852
18853
18854
18855
18856
18857
18858
18859
18860
18861
18862
18863
18864
18865
18866
18867
18868
18869
18870
18871
18872
18873
18874
18875
18876
18877
18878
18879
18880
18881
18882
18883
18884
18885
18886
18887
18888
18889
18890
18891
18892
18893
18894
18895
18896
18897
18898
18899
18900
18901
18902
18903
18904
18905
18906
18907
18908
18909
18910
18911
18912
18913
18914
18915
18916
18917
18918
18919
18920
18921
18922
18923
18924
18925
18926
18927
18928
18929
18930
18931
18932
18933
18934
18935
18936
18937
18938
18939
18940
18941
18942
18943
18944
18945
18946
18947
18948
18949
18950
18951
18952
18953
18954
18955
18956
18957
18958
18959
18960
18961
18962
18963
18964
18965
18966
18967
18968
18969
18970
18971
18972
18973
18974
18975
18976
18977
18978
18979
18980
18981
18982
18983
18984
18985
18986
18987
18988
18989
18990
18991
18992
18993
18994
18995
18996
18997
18998
18999
19000
19001
19002
19003
19004
19005
19006
19007
19008
19009
19010
19011
19012
19013
19014
19015
19016
19017
19018
19019
19020
19021
19022
19023
19024
19025
19026
19027
19028
19029
19030
19031
19032
19033
19034
19035
19036
19037
19038
19039
19040
19041
19042
19043
19044
19045
19046
19047
19048
19049
19050
19051
19052
19053
19054
19055
19056
19057
19058
19059
19060
19061
19062
19063
19064
19065
19066
19067
19068
19069
19070
19071
19072
19073
19074
19075
19076
19077
19078
19079
19080
19081
19082
19083
19084
19085
19086
19087
19088
19089
19090
19091
19092
19093
19094
19095
19096
19097
19098
19099
19100
19101
19102
19103
19104
19105
19106
19107
19108
19109
19110
19111
19112
19113
19114
19115
19116
19117
19118
19119
19120
19121
19122
19123
19124
19125
19126
19127
19128
19129
19130
19131
19132
19133
19134
19135
19136
19137
19138
19139
19140
19141
19142
19143
19144
19145
19146
19147
19148
19149
19150
19151
19152
19153
19154
19155
19156
19157
19158
19159
19160
19161
19162
19163
19164
19165
19166
19167
19168
19169
19170
19171
19172
19173
19174
19175
19176
19177
19178
19179
19180
19181
19182
19183
19184
19185
19186
19187
19188
19189
19190
19191
19192
19193
19194
19195
19196
19197
19198
19199
19200
19201
19202
19203
19204
19205
19206
19207
19208
19209
19210
19211
19212
19213
19214
19215
19216
19217
19218
19219
19220
19221
19222
19223
19224
19225
19226
19227
19228
19229
19230
19231
19232
19233
19234
19235
19236
19237
19238
19239
19240
19241
19242
19243
19244
19245
19246
19247
19248
19249
19250
19251
19252
19253
19254
19255
19256
19257
19258
19259
19260
19261
19262
19263
19264
19265
19266
19267
19268
19269
19270
19271
19272
19273
19274
19275
19276
19277
19278
19279
19280
19281
19282
19283
19284
19285
19286
19287
19288
19289
19290
19291
19292
19293
19294
19295
19296
19297
19298
19299
19300
19301
19302
19303
19304
19305
19306
19307
19308
19309
19310
19311
19312
19313
19314
19315
19316
19317
19318
19319
19320
19321
19322
19323
19324
19325
19326
19327
19328
19329
19330
19331
19332
19333
19334
19335
19336
19337
19338
19339
19340
19341
19342
19343
19344
19345
19346
19347
19348
19349
19350
19351
19352
19353
19354
19355
19356
19357
19358
19359
19360
19361
19362
19363
19364
19365
19366
19367
19368
19369
19370
19371
19372
19373
19374
19375
19376
19377
19378
19379
19380
19381
19382
19383
19384
19385
19386
19387
19388
19389
19390
19391
19392
19393
19394
19395
19396
19397
19398
19399
19400
19401
19402
19403
19404
19405
19406
19407
19408
19409
19410
19411
19412
19413
19414
19415
19416
19417
19418
19419
19420
19421
19422
19423
19424
19425
19426
19427
19428
19429
19430
19431
19432
19433
19434
19435
19436
19437
19438
19439
19440
19441
19442
19443
19444
19445
19446
19447
19448
19449
19450
19451
19452
19453
19454
19455
19456
19457
19458
19459
19460
19461
19462
19463
19464
19465
19466
19467
19468
19469
19470
19471
19472
19473
19474
19475
19476
19477
19478
19479
19480
19481
19482
19483
19484
19485
19486
19487
19488
19489
19490
19491
19492
19493
19494
19495
19496
19497
19498
19499
19500
19501
19502
19503
19504
19505
19506
19507
19508
19509
19510
19511
19512
19513
19514
19515
19516
19517
19518
19519
19520
19521
19522
19523
19524
19525
19526
19527
19528
19529
19530
19531
19532
19533
19534
19535
19536
19537
19538
19539
19540
19541
19542
19543
19544
19545
19546
19547
19548
19549
19550
19551
19552
19553
19554
19555
19556
19557
19558
19559
19560
19561
19562
19563
19564
19565
19566
19567
19568
19569
19570
19571
19572
19573
19574
19575
19576
19577
19578
19579
19580
19581
19582
19583
19584
19585
19586
19587
19588
19589
19590
19591
19592
19593
19594
19595
19596
19597
19598
19599
19600
19601
19602
19603
19604
19605
19606
19607
19608
19609
19610
19611
19612
19613
19614
19615
19616
19617
19618
19619
19620
19621
19622
19623
19624
19625
19626
19627
19628
19629
19630
19631
19632
19633
19634
19635
19636
19637
19638
19639
19640
19641
19642
19643
19644
19645
19646
19647
19648
19649
19650
19651
19652
19653
19654
19655
19656
19657
19658
19659
19660
19661
19662
19663
19664
19665
19666
19667
19668
19669
19670
19671
19672
19673
19674
19675
19676
19677
19678
19679
19680
19681
19682
19683
19684
19685
19686
19687
19688
19689
19690
19691
19692
19693
19694
19695
19696
19697
19698
19699
19700
19701
19702
19703
19704
19705
19706
19707
19708
19709
19710
19711
19712
19713
19714
19715
19716
19717
19718
19719
19720
19721
19722
19723
19724
19725
19726
19727
19728
19729
19730
19731
19732
19733
19734
19735
19736
19737
19738
19739
19740
19741
19742
19743
19744
19745
19746
19747
19748
19749
19750
19751
19752
19753
19754
19755
19756
19757
19758
19759
19760
19761
19762
19763
19764
19765
19766
19767
19768
19769
19770
19771
19772
19773
19774
19775
19776
19777
19778
19779
19780
19781
19782
19783
19784
19785
19786
19787
19788
19789
19790
19791
19792
19793
19794
19795
19796
19797
19798
19799
19800
19801
19802
19803
19804
19805
19806
19807
19808
19809
19810
19811
19812
19813
19814
19815
19816
19817
19818
19819
19820
19821
19822
19823
19824
19825
19826
19827
19828
19829
19830
19831
19832
19833
19834
19835
19836
19837
19838
19839
19840
19841
19842
19843
19844
19845
19846
19847
19848
19849
19850
19851
19852
19853
19854
19855
19856
19857
19858
19859
19860
19861
19862
19863
19864
19865
19866
19867
19868
19869
19870
19871
19872
19873
19874
19875
19876
19877
19878
19879
19880
19881
19882
19883
19884
19885
19886
19887
19888
19889
19890
19891
19892
19893
19894
19895
19896
19897
19898
19899
19900
19901
19902
19903
19904
19905
19906
19907
19908
19909
19910
19911
19912
19913
19914
19915
19916
19917
19918
19919
19920
19921
19922
19923
19924
19925
19926
19927
19928
19929
19930
19931
19932
19933
19934
19935
19936
19937
19938
19939
19940
19941
19942
19943
19944
19945
19946
19947
19948
19949
19950
19951
19952
19953
19954
19955
19956
19957
19958
19959
19960
19961
19962
19963
19964
19965
19966
19967
19968
19969
19970
19971
19972
19973
19974
19975
19976
19977
19978
19979
19980
19981
19982
19983
19984
19985
19986
19987
19988
19989
19990
19991
19992
19993
19994
19995
19996
19997
19998
19999
20000
20001
20002
20003
20004
20005
20006
20007
20008
20009
20010
20011
20012
20013
20014
20015
20016
20017
20018
20019
20020
20021
20022
20023
20024
20025
20026
20027
20028
20029
20030
20031
20032
20033
20034
20035
20036
20037
20038
20039
20040
20041
20042
20043
20044
20045
20046
20047
20048
20049
20050
20051
20052
20053
20054
20055
20056
20057
20058
20059
20060
20061
20062
20063
20064
20065
20066
20067
20068
20069
20070
20071
20072
20073
20074
20075
20076
20077
20078
20079
20080
20081
20082
20083
20084
20085
20086
20087
20088
20089
20090
20091
20092
20093
20094
20095
20096
20097
20098
20099
20100
20101
20102
20103
20104
20105
20106
20107
20108
20109
20110
20111
20112
20113
20114
20115
20116
20117
20118
20119
20120
20121
20122
20123
20124
20125
20126
20127
20128
20129
20130
20131
20132
20133
20134
20135
20136
20137
20138
20139
20140
20141
20142
20143
20144
20145
20146
20147
20148
20149
20150
20151
20152
20153
20154
20155
20156
20157
20158
20159
20160
20161
20162
20163
20164
20165
20166
20167
20168
20169
20170
20171
20172
20173
20174
20175
20176
20177
20178
20179
20180
20181
20182
20183
20184
20185
20186
20187
20188
20189
20190
20191
20192
20193
20194
20195
20196
20197
20198
20199
20200
20201
20202
20203
20204
20205
20206
20207
20208
20209
20210
20211
20212
20213
20214
20215
20216
20217
20218
20219
20220
20221
20222
20223
20224
20225
20226
20227
20228
20229
20230
20231
20232
20233
20234
20235
20236
20237
20238
20239
20240
20241
20242
20243
20244
20245
20246
20247
20248
20249
20250
20251
20252
20253
20254
20255
20256
20257
20258
20259
20260
20261
20262
20263
20264
20265
20266
20267
20268
20269
20270
20271
20272
20273
20274
20275
20276
20277
20278
20279
20280
20281
20282
20283
20284
20285
20286
20287
20288
20289
20290
20291
20292
20293
20294
20295
20296
20297
20298
20299
20300
20301
20302
20303
20304
20305
20306
20307
20308
20309
20310
20311
20312
20313
20314
20315
20316
20317
20318
20319
20320
20321
20322
20323
20324
20325
20326
20327
20328
20329
20330
20331
20332
20333
20334
20335
20336
20337
20338
20339
20340
20341
20342
20343
20344
20345
20346
20347
20348
20349
20350
20351
20352
20353
20354
20355
20356
20357
20358
20359
20360
20361
20362
20363
20364
20365
20366
20367
20368
20369
20370
20371
20372
20373
20374
20375
20376
20377
20378
20379
20380
20381
20382
20383
20384
20385
20386
20387
20388
20389
20390
20391
20392
20393
20394
20395
20396
20397
20398
20399
20400
20401
20402
20403
20404
20405
20406
20407
20408
20409
20410
20411
20412
20413
20414
20415
20416
20417
20418
20419
20420
20421
20422
20423
20424
20425
20426
20427
20428
20429
20430
20431
20432
20433
20434
20435
20436
20437
20438
20439
20440
20441
20442
20443
20444
20445
20446
20447
20448
20449
20450
20451
20452
20453
20454
20455
20456
20457
20458
20459
20460
20461
20462
20463
20464
20465
20466
20467
20468
20469
20470
20471
20472
20473
20474
20475
20476
20477
20478
20479
20480
20481
20482
20483
20484
20485
20486
20487
20488
20489
20490
20491
20492
20493
20494
20495
20496
20497
20498
20499
20500
20501
20502
20503
20504
20505
20506
20507
20508
20509
20510
20511
20512
20513
20514
20515
20516
20517
20518
20519
20520
20521
20522
20523
20524
20525
20526
20527
20528
20529
20530
20531
20532
20533
20534
20535
20536
20537
20538
20539
20540
20541
20542
20543
20544
20545
20546
20547
20548
20549
20550
20551
20552
20553
20554
20555
20556
20557
20558
20559
20560
20561
20562
20563
20564
20565
20566
20567
20568
20569
20570
20571
20572
20573
20574
20575
20576
20577
20578
20579
20580
20581
20582
20583
20584
20585
20586
20587
20588
20589
20590
20591
20592
20593
20594
20595
20596
20597
20598
20599
20600
20601
20602
20603
20604
20605
20606
20607
20608
20609
20610
20611
20612
20613
20614
20615
20616
20617
20618
20619
20620
20621
20622
20623
20624
20625
20626
20627
20628
20629
20630
20631
20632
20633
20634
20635
20636
20637
20638
20639
20640
20641
20642
20643
20644
20645
20646
20647
20648
20649
20650
20651
20652
20653
20654
20655
20656
20657
20658
20659
20660
20661
20662
20663
20664
20665
20666
20667
20668
20669
20670
20671
20672
20673
20674
20675
20676
20677
20678
20679
20680
20681
20682
20683
20684
20685
20686
20687
20688
20689
20690
20691
20692
20693
20694
20695
20696
20697
20698
20699
20700
20701
20702
20703
20704
20705
20706
20707
20708
20709
20710
20711
20712
20713
20714
20715
20716
20717
20718
20719
20720
20721
20722
20723
20724
20725
20726
20727
20728
20729
20730
20731
20732
20733
20734
20735
20736
20737
20738
20739
20740
20741
20742
20743
20744
20745
20746
20747
20748
20749
20750
20751
20752
20753
20754
20755
20756
20757
20758
20759
20760
20761
20762
20763
20764
20765
20766
20767
20768
20769
20770
20771
20772
20773
20774
20775
20776
20777
20778
20779
20780
20781
20782
20783
20784
20785
20786
20787
20788
20789
20790
20791
20792
20793
20794
20795
20796
20797
20798
20799
20800
20801
20802
20803
20804
20805
20806
20807
20808
20809
20810
20811
20812
20813
20814
20815
20816
20817
20818
20819
20820
20821
20822
20823
20824
20825
20826
20827
20828
20829
20830
20831
20832
20833
20834
20835
20836
20837
20838
20839
20840
20841
20842
20843
20844
20845
20846
20847
20848
20849
20850
20851
20852
20853
20854
20855
20856
20857
20858
20859
20860
20861
20862
20863
20864
20865
20866
20867
20868
20869
20870
20871
20872
20873
20874
20875
20876
20877
20878
20879
20880
20881
20882
20883
20884
20885
20886
20887
20888
20889
20890
20891
20892
20893
20894
20895
20896
20897
20898
20899
20900
20901
20902
20903
20904
20905
20906
20907
20908
20909
20910
20911
20912
20913
20914
20915
20916
20917
20918
20919
20920
20921
20922
20923
20924
20925
20926
20927
20928
20929
20930
20931
20932
20933
20934
20935
20936
20937
20938
20939
20940
20941
20942
20943
20944
20945
20946
20947
20948
20949
20950
20951
20952
20953
20954
20955
20956
20957
20958
20959
20960
20961
20962
20963
20964
20965
20966
20967
20968
20969
20970
20971
20972
20973
20974
20975
20976
20977
20978
20979
20980
20981
20982
20983
20984
20985
20986
20987
20988
20989
20990
20991
20992
20993
20994
20995
20996
20997
20998
20999
21000
21001
21002
21003
21004
21005
21006
21007
21008
21009
21010
21011
21012
21013
21014
21015
21016
21017
21018
21019
21020
21021
21022
21023
21024
21025
21026
21027
21028
21029
21030
21031
21032
21033
21034
21035
21036
21037
21038
21039
21040
21041
21042
21043
21044
21045
21046
21047
21048
21049
21050
21051
21052
21053
21054
21055
21056
21057
21058
21059
21060
21061
21062
21063
21064
21065
21066
21067
21068
21069
21070
21071
21072
21073
21074
21075
21076
21077
21078
21079
21080
21081
21082
21083
21084
21085
21086
21087
21088
21089
21090
21091
21092
21093
21094
21095
21096
21097
21098
21099
21100
21101
21102
21103
21104
21105
21106
21107
21108
21109
21110
21111
21112
21113
21114
21115
21116
21117
21118
21119
21120
21121
21122
21123
21124
21125
21126
21127
21128
21129
21130
21131
21132
21133
21134
21135
21136
21137
21138
21139
21140
21141
21142
21143
21144
21145
21146
21147
21148
21149
21150
21151
21152
21153
21154
21155
21156
21157
21158
21159
21160
21161
21162
21163
21164
21165
21166
21167
21168
21169
21170
21171
21172
21173
21174
21175
21176
21177
21178
21179
21180
21181
21182
21183
21184
21185
21186
21187
21188
21189
21190
21191
21192
21193
21194
21195
21196
21197
21198
21199
21200
21201
21202
21203
21204
21205
21206
21207
21208
21209
21210
21211
21212
21213
21214
21215
21216
21217
21218
21219
21220
21221
21222
21223
21224
21225
21226
21227
21228
21229
21230
21231
21232
21233
21234
21235
21236
21237
21238
21239
21240
21241
21242
21243
21244
21245
21246
21247
21248
21249
21250
21251
21252
21253
21254
21255
21256
21257
21258
21259
21260
21261
21262
21263
21264
21265
21266
21267
21268
21269
21270
21271
21272
21273
21274
21275
21276
21277
21278
21279
21280
21281
21282
21283
21284
21285
21286
21287
21288
21289
21290
21291
21292
21293
21294
21295
21296
21297
21298
21299
21300
21301
21302
21303
21304
21305
21306
21307
21308
21309
21310
21311
21312
21313
21314
21315
21316
21317
21318
21319
21320
21321
21322
21323
21324
21325
21326
21327
21328
21329
21330
21331
21332
21333
21334
21335
21336
21337
21338
21339
21340
21341
21342
21343
21344
21345
21346
21347
21348
21349
21350
21351
21352
21353
21354
21355
21356
21357
21358
21359
21360
21361
21362
21363
21364
21365
21366
21367
21368
21369
21370
21371
21372
21373
21374
21375
21376
21377
21378
21379
21380
21381
21382
21383
21384
21385
21386
21387
21388
21389
21390
21391
21392
21393
21394
21395
21396
21397
21398
21399
21400
21401
21402
21403
21404
21405
21406
21407
21408
21409
21410
21411
21412
21413
21414
21415
21416
21417
21418
21419
21420
21421
21422
21423
21424
21425
21426
21427
21428
21429
21430
21431
21432
21433
21434
21435
21436
21437
21438
21439
21440
21441
21442
21443
21444
21445
21446
21447
21448
21449
21450
21451
21452
21453
21454
21455
21456
21457
21458
21459
21460
21461
21462
21463
21464
21465
21466
21467
21468
21469
21470
21471
21472
21473
21474
21475
21476
21477
21478
21479
21480
21481
21482
21483
21484
21485
21486
21487
21488
21489
21490
21491
21492
21493
21494
21495
21496
21497
21498
21499
21500
21501
21502
21503
21504
21505
21506
21507
21508
21509
21510
21511
21512
21513
21514
21515
21516
21517
21518
21519
21520
21521
21522
21523
21524
21525
21526
21527
21528
21529
21530
21531
21532
21533
21534
21535
21536
21537
21538
21539
21540
21541
21542
21543
21544
21545
21546
21547
21548
21549
21550
21551
21552
21553
21554
21555
21556
21557
21558
21559
21560
21561
21562
21563
21564
21565
21566
21567
21568
21569
21570
21571
21572
21573
21574
21575
21576
21577
21578
21579
21580
21581
21582
21583
21584
21585
21586
21587
21588
21589
21590
21591
21592
21593
21594
21595
21596
21597
21598
21599
21600
21601
21602
21603
21604
21605
21606
21607
21608
21609
21610
21611
21612
21613
21614
21615
21616
21617
21618
21619
21620
21621
21622
21623
21624
21625
21626
21627
21628
21629
21630
21631
21632
21633
21634
21635
21636
21637
21638
21639
21640
21641
21642
21643
21644
21645
21646
21647
21648
21649
21650
21651
21652
21653
21654
21655
21656
21657
21658
21659
21660
21661
21662
21663
21664
21665
21666
21667
21668
21669
21670
21671
21672
21673
21674
21675
21676
21677
21678
21679
21680
21681
21682
21683
21684
21685
21686
21687
21688
21689
21690
21691
21692
21693
21694
21695
21696
21697
21698
21699
21700
21701
21702
21703
21704
21705
21706
21707
21708
21709
21710
21711
21712
21713
21714
21715
21716
21717
21718
21719
21720
21721
21722
21723
21724
21725
21726
21727
21728
21729
21730
21731
21732
21733
21734
21735
21736
21737
21738
21739
21740
21741
21742
21743
21744
21745
21746
21747
21748
21749
21750
21751
21752
21753
21754
21755
21756
21757
21758
21759
21760
21761
21762
21763
21764
21765
21766
21767
21768
21769
21770
21771
21772
21773
21774
21775
21776
21777
21778
21779
21780
21781
21782
21783
21784
21785
21786
21787
21788
21789
21790
21791
21792
21793
21794
21795
21796
21797
21798
21799
21800
21801
21802
21803
21804
21805
21806
21807
21808
21809
21810
21811
21812
21813
21814
21815
21816
21817
21818
21819
21820
21821
21822
21823
21824
21825
21826
21827
21828
21829
21830
21831
21832
21833
21834
21835
21836
21837
21838
21839
21840
21841
21842
21843
21844
21845
21846
21847
21848
21849
21850
21851
21852
21853
21854
21855
21856
21857
21858
21859
21860
21861
21862
|
(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 12.1' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 1108347, 21854]
NotebookOptionsPosition[ 1079232, 21389]
NotebookOutlinePosition[ 1079624, 21405]
CellTagsIndexPosition[ 1079581, 21402]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
RowBox[{
RowBox[{"b", "[", "d_", "]"}], ":=",
RowBox[{"Piecewise", "[",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"-", "7"}], "/", "3"}], ",",
RowBox[{"d", "\[Equal]", "3"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"-",
RowBox[{"(",
RowBox[{"d", "-", "3"}], ")"}]}],
RowBox[{"d", "/", "2"}]}], ",", "True"}], "}"}]}], "}"}],
"]"}]}]], "Input",
CellChangeTimes->{{3.7976897638770247`*^9, 3.7976897931565943`*^9}, {
3.797689934139001*^9, 3.7976899367766867`*^9}, 3.799156835035874*^9},
CellLabel->"In[1]:=",ExpressionUUID->"82258ef3-9786-4e81-9eb9-23ffb434650c"],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"imF", "[",
RowBox[{"d_", ",", "c_", ",", "a_", ",",
RowBox[{"m_", ":", "1"}]}], "]"}], "[", "X_", "]"}], ":=",
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"X", "+",
SuperscriptBox[
RowBox[{"(",
RowBox[{"c", " ", "X"}], ")"}],
RowBox[{"m", " ",
RowBox[{"a", "/",
RowBox[{"b", "[", "d", "]"}]}]}]]}], ")"}],
RowBox[{
RowBox[{"b", "[", "d", "]"}], "/", "m"}]],
SuperscriptBox["\[ExponentialE]",
RowBox[{
RowBox[{"-", "1"}], "/",
SuperscriptBox["X",
RowBox[{"d", "-", "1"}]]}]]}]}]], "Input",
CellChangeTimes->{{3.797689722559431*^9, 3.7976897550604153`*^9}, {
3.797689797413081*^9, 3.797689812332975*^9}, {3.797689883415086*^9,
3.79768990502985*^9}, {3.799175009706616*^9, 3.799175049654975*^9}, {
3.799175325847249*^9, 3.799175335314693*^9}, {3.7991785394047737`*^9,
3.799178540370944*^9}, {3.799189638175411*^9, 3.79918966552033*^9},
3.799190225410571*^9, {3.799191836711349*^9, 3.799191880119375*^9},
3.799192374609405*^9, 3.799192837313983*^9, {3.79919335196389*^9,
3.799193352170311*^9}, {3.799193956159371*^9, 3.799193959559*^9}, {
3.799195487419174*^9, 3.799195517388568*^9}, 3.7991955644924393`*^9,
3.799195663046866*^9, {3.7991961391095657`*^9, 3.799196164510016*^9}, {
3.799196454844182*^9, 3.799196466015071*^9}, {3.799196530973658*^9,
3.799196535660681*^9}, {3.7991966787280407`*^9, 3.79919668145502*^9}, {
3.7991968073462143`*^9, 3.7991969956928463`*^9}, {3.799197088623143*^9,
3.799197097566362*^9}, {3.799260438985899*^9, 3.79926045869732*^9}, {
3.799264738617695*^9, 3.7992647394486923`*^9}, {3.799273093197462*^9,
3.799273111141912*^9}, {3.799275054254321*^9, 3.799275063542521*^9}, {
3.799276395554797*^9, 3.799276428258604*^9}, 3.799279033127264*^9, {
3.799279095032194*^9, 3.7992790981353703`*^9}, {3.7992791883859797`*^9,
3.7992792122814407`*^9}, {3.799279920035228*^9, 3.7992799361224537`*^9}, {
3.799280077655456*^9, 3.7992800778535347`*^9}, {3.7992802509623833`*^9,
3.7992802514332657`*^9}, {3.799280693699781*^9, 3.799280725115251*^9}, {
3.799282153357273*^9, 3.799282170349152*^9}, {3.799282362617609*^9,
3.799282371240369*^9}},
CellLabel->"In[2]:=",ExpressionUUID->"4e85b330-c6d0-441a-b9ab-33c4fb946885"],
Cell[BoxData[
RowBox[{"ClearAll", "[", "imF", "]"}]], "Input",
CellChangeTimes->{{3.799279213548245*^9, 3.799279217720868*^9}},
CellLabel->"In[3]:=",ExpressionUUID->"d642ee14-edd2-4f32-884a-8e6d16ad9042"],
Cell[BoxData[
RowBox[{
RowBox[{"V", "[", "d_", "]"}], ":=",
FractionBox[
SuperscriptBox["\[Pi]",
RowBox[{"d", "/", "2"}]],
RowBox[{"Gamma", "[",
RowBox[{
RowBox[{"d", "/", "2"}], "+", "1"}], "]"}]]}]], "Input",
CellChangeTimes->{{3.79926383535338*^9, 3.7992638825575237`*^9}},
CellLabel->"In[4]:=",ExpressionUUID->"da98e2d0-3053-459a-aae4-74eba9aba312"],
Cell[BoxData[
RowBox[{
RowBox[{"S", "[", "d_", "]"}], ":=",
FractionBox[
RowBox[{"2",
SuperscriptBox[
RowBox[{"\[Pi]", " "}],
RowBox[{"d", "/", "2"}]]}],
RowBox[{"Gamma", "[",
RowBox[{"d", "/", "2"}], "]"}]]}]], "Input",
CellChangeTimes->{{3.7992639090993633`*^9, 3.79926393860299*^9}},
CellLabel->"In[5]:=",ExpressionUUID->"f626d5f0-6e81-49a0-be96-023721aa88c6"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"V", "[", "3", "]"}]], "Input",
CellChangeTimes->{{3.799343863910615*^9, 3.7993438654097013`*^9}},
CellLabel->"In[6]:=",ExpressionUUID->"311f0a6c-f9d0-4710-a7a8-3e97c11f94ea"],
Cell[BoxData[
FractionBox[
RowBox[{"4", " ", "\[Pi]"}], "3"]], "Output",
CellChangeTimes->{3.799343865741696*^9, 3.799412195954873*^9,
3.801837681806218*^9, 3.8021881652305098`*^9},
CellLabel->"Out[6]=",ExpressionUUID->"bf354573-6003-4bd8-9934-10fd05b251c0"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"S", "[", "3", "]"}]], "Input",
CellChangeTimes->{{3.799343866854162*^9, 3.79934386736975*^9}},
CellLabel->"In[7]:=",ExpressionUUID->"e52d0c60-748d-4cc3-a565-21bdb6ffcd24"],
Cell[BoxData[
RowBox[{"4", " ", "\[Pi]"}]], "Output",
CellChangeTimes->{3.799343867621334*^9, 3.799412196312009*^9,
3.801837682003497*^9, 3.802188165346828*^9},
CellLabel->"Out[7]=",ExpressionUUID->"5411b912-2380-4cb6-802f-824204bdebfd"]
}, Open ]],
Cell[BoxData[
RowBox[{"ClearAll", "[", "\[ScriptCapitalF]D", "]"}]], "Input",
CellChangeTimes->{{3.799275408542018*^9, 3.799275416899069*^9}, {
3.799275983372347*^9, 3.799275984515163*^9}},
CellLabel->"In[8]:=",ExpressionUUID->"e4bb0f34-88b3-4b5d-baa2-b4df36d9d986"],
Cell[BoxData[
RowBox[{"ClearAll", "[", "B", "]"}]], "Input",
CellChangeTimes->{{3.799264760862775*^9, 3.7992647670730743`*^9}},
CellLabel->"In[9]:=",ExpressionUUID->"05e1c49c-4b48-44c7-b8ec-f4e8da2d8537"],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"B", "[",
RowBox[{"\[ScriptCapitalM]_", ",", "\[ScriptCapitalS]_"}], "]"}], "[",
"d_", "]"}], ":=",
RowBox[{
FractionBox[
RowBox[{"2", " ",
RowBox[{"V", "[", "d", "]"}], " ", "\[ScriptCapitalM]"}],
RowBox[{"d", "-", "1"}]],
SuperscriptBox[
RowBox[{"(",
FractionBox["d",
RowBox[{
RowBox[{"S", "[", "d", "]"}], " ", "\[ScriptCapitalS]"}]], ")"}],
RowBox[{"d", "/",
RowBox[{"(",
RowBox[{"d", "-", "1"}], ")"}]}]]}]}]], "Input",
CellChangeTimes->{{3.79926368830357*^9, 3.799263698695478*^9}, {
3.799263954042904*^9, 3.799263992812086*^9}, {3.799264753049623*^9,
3.799264760185117*^9}, {3.7993449723103867`*^9, 3.799344982310705*^9}},
CellLabel->"In[10]:=",ExpressionUUID->"b4e21948-5878-4ca8-a70d-e15e506e21d7"],
Cell[BoxData[
RowBox[{"Needs", "[", "\"\<NumericalCalculus`\>\"", "]"}]], "Input",
CellChangeTimes->{{3.799180100794139*^9, 3.799180129328039*^9}},
CellLabel->"In[11]:=",ExpressionUUID->"4384315f-9759-420b-b9e1-734fdddd0405"],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalF]Real", "[",
RowBox[{"D_", ",",
RowBox[{"A_", "?", "NumericQ"}], ",", "B_", ",", "c_", ",", "a_", ",",
RowBox[{"n_", ":", "0"}], ",",
RowBox[{"m_", ":",
RowBox[{"1", "?", "NumericQ"}]}]}], "]"}], "[",
RowBox[{"X_", "?", "NumericQ"}], "]"}], ":=",
RowBox[{
FractionBox[
RowBox[{"A", " ",
RowBox[{"n", "!"}]}], "\[Pi]"],
RowBox[{"NIntegrate", "[",
RowBox[{
FractionBox[
RowBox[{
RowBox[{"imF", "[",
RowBox[{"D", ",", "c", ",", "a", ",", "m"}], "]"}], "[",
RowBox[{"B", " ", "Xp"}], "]"}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"Xp", "+", "X"}], ")"}],
RowBox[{"1", "+", "n"}]]], ",",
RowBox[{"{",
RowBox[{"Xp", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"MaxRecursion", "\[Rule]", "20"}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "30"}]}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.7991803044973507`*^9, 3.799180367948954*^9},
3.7991804107186823`*^9, {3.799180481744094*^9, 3.799180483919141*^9}, {
3.7991807328602657`*^9, 3.799180734087232*^9}, {3.799180884846156*^9,
3.799180919686625*^9}, {3.79918122521268*^9, 3.799181226484048*^9}, {
3.7991819518233957`*^9, 3.799181962456498*^9}, {3.7992747697133904`*^9,
3.799274780881023*^9}, {3.79927523300208*^9, 3.799275243512928*^9}, {
3.799276468531755*^9, 3.79927647526742*^9}, {3.799278993246319*^9,
3.799278998997725*^9}, {3.7992835929907*^9, 3.7992836056701813`*^9}},
CellLabel->"In[12]:=",ExpressionUUID->"9315b6d6-051d-40f9-b30f-b02bb6592851"],
Cell[BoxData[
RowBox[{
RowBox[{"\[ScriptCapitalF]D", "[",
RowBox[{"D_", ",",
RowBox[{"A_", "?", "NumericQ"}], ",", "B_", ",",
RowBox[{"c_", "?", "NumericQ"}], ",", "a_", ",", "n_", ",",
RowBox[{"m_", ":",
RowBox[{"1", "?", "NumericQ"}]}]}], "]"}], ":=",
RowBox[{
FractionBox[
RowBox[{"A", " ",
RowBox[{"FactorialPower", "[",
RowBox[{
RowBox[{"-", "1"}], ",", "n"}], "]"}]}], "\[Pi]"],
RowBox[{"NIntegrate", "[",
RowBox[{
FractionBox[
RowBox[{
RowBox[{"imF", "[",
RowBox[{"D", ",", " ", "c", " ", ",", "a", ",", "m"}], "]"}], "[",
RowBox[{"B", " ", "Xp"}], "]"}],
SuperscriptBox[
RowBox[{"(", "Xp", ")"}],
RowBox[{"1", "+", "n"}]]], ",",
RowBox[{"{",
RowBox[{"Xp", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"MaxRecursion", "\[Rule]", "20"}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "30"}]}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.799180682927021*^9, 3.799180760859908*^9}, {
3.7991807919083643`*^9, 3.799180799086494*^9}, {3.799180841030613*^9,
3.79918085250185*^9}, {3.799180900135333*^9, 3.799180923207052*^9}, {
3.79918118917216*^9, 3.799181202915661*^9}, {3.799181560529375*^9,
3.799181560680744*^9}, {3.799275958659692*^9, 3.799275977435281*^9}, {
3.799276480219939*^9, 3.799276485507596*^9}, {3.799279007070362*^9,
3.799279008693844*^9}, {3.799283613775024*^9, 3.799283616814293*^9}},
CellLabel->"In[13]:=",ExpressionUUID->"e966b438-a404-4e3d-8cce-cc3cb0fb75c2"],
Cell[BoxData[
RowBox[{
RowBox[{"\[ScriptCapitalF]Dinf", "[",
RowBox[{"D_", ",",
RowBox[{"A_", "?", "NumericQ"}], ",", "B_", ",", "\[Alpha]_", ",", "rx_",
",", "ix_", ",", "n_", ",", "\[Gamma]_"}], "]"}], ":=",
RowBox[{"NLimit", "[",
RowBox[{
RowBox[{
SuperscriptBox["X", "\[Gamma]"],
RowBox[{
RowBox[{"\[ScriptCapitalF]Real", "[",
RowBox[{
"D", ",", "A", ",", "B", ",", "\[Alpha]", ",", "rx", ",", "ix", ",",
"n"}], "]"}], "[", "X", "]"}]}], ",",
RowBox[{"X", "\[Rule]", "\[Infinity]"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799181252488661*^9, 3.799181288956612*^9}, {
3.7991822557647743`*^9, 3.799182259012323*^9}, {3.79918255024236*^9,
3.799182550553059*^9}, {3.799183328238594*^9, 3.799183336154875*^9}, {
3.799183491427051*^9, 3.799183524010297*^9}},
CellLabel->"In[14]:=",ExpressionUUID->"8bef1756-135a-4486-93dd-174d30365812"],
Cell[CellGroupData[{
Cell["4D Ising", "Subsection",
CellChangeTimes->{{3.7991757562240877`*^9, 3.799175758224951*^9}, {
3.80243624932672*^9,
3.802436250589779*^9}},ExpressionUUID->"12eb0a78-495e-427f-9455-\
49dc8dab2172"],
Cell[BoxData[{
RowBox[{
RowBox[{"Tc4D", "=", "6.650365"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalM]03D", "=", "1.6919045"}], ";", " ",
RowBox[{"(*",
RowBox[{"Talapov_", "1996", "_The"}], "*)"}], "\[IndentingNewLine]",
RowBox[{"\[ScriptCapitalY]03D", "=", "0.99051"}], ";",
RowBox[{"(*",
RowBox[{"Blote_", "1994", "_Ising"}], "*)"}], "\[IndentingNewLine]",
RowBox[{"\[ScriptCapitalS]03D", "=",
RowBox[{"10.083", "/",
SuperscriptBox["Tc3D",
RowBox[{"2", " ", "\[Nu]3D"}]]}]}], ";",
RowBox[{"(*",
RowBox[{"Caselle_", "2007", "_The"}], "*)"}], "\[IndentingNewLine]",
RowBox[{"R\[Chi]", "=", "1.674"}], ";",
RowBox[{"(*",
RowBox[{"Guida_", "1997", "_", "3", "D"}], "*)"}], "\[IndentingNewLine]",
RowBox[{"CpCm", "=", "4.78"}], ";",
RowBox[{"(*", "Same", "*)"}], "\[IndentingNewLine]",
RowBox[{"\[ScriptCapitalY]\[Infinity]3D", "=",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(", " ",
RowBox[{"Tc3D", " ", "\[ScriptCapitalY]03D", " ", "CpCm", " ",
RowBox[{
SuperscriptBox["\[ScriptCapitalM]03D",
RowBox[{"\[Delta]3D", "-", "1"}]], "/", "R\[Chi]"}]}], ")"}],
RowBox[{"1", "/", "\[Delta]3D"}]], "/", "\[Delta]3D"}], " ", "2"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"R3", "=",
RowBox[{"Around", "[",
RowBox[{"6.1", ",", "0.06"}], "]"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalY]13D", "=",
RowBox[{
RowBox[{"-", "Tc3D"}], " ",
RowBox[{
RowBox[{"Around", "[",
RowBox[{"6.015", ",", "0.015"}], "]"}], "/", " ",
"\[ScriptCapitalM]03D"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"2", "!"}],
RowBox[{
RowBox[{"Around", "[",
RowBox[{"0.5608", ",", "0.0009"}], "]"}], "/",
RowBox[{"Around", "[",
RowBox[{"4.78", ",", "0.03"}], "]"}]}]}], ")"}], "2"]}]}], ";", " ",
RowBox[{"(*",
RowBox[{"Butera_", "2011"}], "*)"}], "\[IndentingNewLine]",
RowBox[{"\[ScriptCapitalY]23D", "=",
RowBox[{
RowBox[{"4", "!"}], "Tc3D", " ",
RowBox[{
RowBox[{"Around", "[",
RowBox[{"0.1608", ",", "0.0005"}], "]"}], "/",
RowBox[{"Around", "[",
RowBox[{"9.2", ",", "0.3"}], "]"}]}]}]}], ";"}]}], "Input",
CellChangeTimes->{{3.797700318460442*^9, 3.797700326541602*^9}, {
3.79770038865489*^9, 3.797700401215064*^9}, {3.797700462352066*^9,
3.797700496209168*^9}, {3.7977006414873457`*^9, 3.797700658740663*^9}, {
3.797700695397188*^9, 3.797700701244178*^9}, 3.797700806394438*^9,
3.797717754115891*^9, {3.797717828346756*^9, 3.797717829823938*^9},
3.797717864385722*^9, {3.799153535365089*^9, 3.7991535382281847`*^9}, {
3.79915358655821*^9, 3.7991535883493223`*^9}, {3.799157330515562*^9,
3.799157347467043*^9}, {3.799157529055113*^9, 3.799157535861999*^9}, {
3.799157778787387*^9, 3.7991577950263577`*^9}, {3.799187566309985*^9,
3.799187595333911*^9}, {3.799188183190444*^9, 3.7991881886780567`*^9}, {
3.799188226854637*^9, 3.799188436291348*^9}, {3.799188476515957*^9,
3.799188476738941*^9}, {3.799188532692795*^9, 3.7991885435638657`*^9},
3.79918867303148*^9, {3.799188817929282*^9, 3.79918886385736*^9}, {
3.799188922379549*^9, 3.79918892997867*^9}, {3.799188973132162*^9,
3.799188974171274*^9}, {3.799189033837137*^9, 3.7991890398123693`*^9}, {
3.799267200414168*^9, 3.79926720056504*^9}, {3.799267368312717*^9,
3.799267369560081*^9}, {3.799267948379891*^9, 3.799267967883041*^9}, {
3.799268141030575*^9, 3.799268141126009*^9}, {3.799327888905676*^9,
3.799327899825674*^9}, {3.799327941465994*^9, 3.799328053036368*^9}, {
3.799328108069318*^9, 3.799328119341186*^9}, {3.799328579814044*^9,
3.799328592538623*^9}, {3.7993286311422653`*^9, 3.799328647598433*^9}, {
3.799329103346191*^9, 3.799329114730163*^9}, {3.799329283188075*^9,
3.79932950923947*^9}, 3.799329561016927*^9, {3.7993296263217993`*^9,
3.799329653033297*^9}, {3.7993297667399883`*^9, 3.799329770027091*^9}, {
3.7993298398209553`*^9, 3.7993298711255693`*^9}, {3.799330270092021*^9,
3.79933027026016*^9}, {3.799330424606258*^9, 3.799330515646758*^9}, {
3.799330605241201*^9, 3.799330616168767*^9}, 3.799330894693182*^9, {
3.799331343477182*^9, 3.7993313490373287`*^9}, {3.799331387726803*^9,
3.79933139039809*^9}, {3.79933152822624*^9, 3.79933154215371*^9}, {
3.799331694932809*^9, 3.799331722517702*^9}, 3.799331756983374*^9, {
3.799334011017254*^9, 3.799334054856925*^9}, {3.799334190508444*^9,
3.799334203795411*^9}, {3.7993426610036087`*^9, 3.7993426612029657`*^9}, {
3.802420974284246*^9, 3.8024209903225393`*^9}},
CellLabel->"In[6]:=",ExpressionUUID->"0d8178db-61f6-496c-abee-10fa744b47c3"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"B4D", "=",
RowBox[{
RowBox[{"B", "[",
RowBox[{"\[ScriptCapitalM]03D", ",", "\[ScriptCapitalS]03D"}], "]"}], "[",
"4", "]"}]}]], "Input",
CellChangeTimes->{{3.797699954311198*^9, 3.797699956620728*^9}, {
3.797700710533165*^9, 3.7977007470293694`*^9}, {3.79926564044178*^9,
3.79926564062502*^9}, {3.7992671632306757`*^9, 3.799267191852384*^9}, {
3.802422254838917*^9,
3.802422259724813*^9}},ExpressionUUID->"b27001d6-dbea-40a3-be65-\
0156bc821b9f"],
Cell[BoxData[
RowBox[{"0.025819444251322217`", " ",
SuperscriptBox[
RowBox[{"(",
SuperscriptBox["4.511524802897121`",
RowBox[{"2", " ", "\[Nu]3D"}]], ")"}],
RowBox[{"3", "/", "2"}]]}]], "Output",
CellChangeTimes->{
3.79770074801647*^9, 3.797700807197772*^9, 3.797717755073433*^9,
3.7977178311825123`*^9, 3.797717877189372*^9, 3.7991535925228567`*^9, {
3.799157332124851*^9, 3.7991573494721746`*^9}, 3.799157465586505*^9,
3.799157530911976*^9, {3.799157781099972*^9, 3.799157796733979*^9},
3.799185920703765*^9, 3.79926564101444*^9, {3.7992671778181047`*^9,
3.799267202746972*^9}, 3.799267371787565*^9, 3.799267970266754*^9,
3.799268071110031*^9, 3.799268142179368*^9, 3.799342666407199*^9,
3.79934497776791*^9, 3.799346163238422*^9, 3.799412209641796*^9,
3.801837697381227*^9, 3.802188172195032*^9},
CellLabel->"Out[34]=",ExpressionUUID->"ffbdef8e-b715-4265-ad01-67408ac104b0"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]4D0", "=",
RowBox[{"FullSimplify", "[",
RowBox[{
RowBox[{
FractionBox["1", "\[Pi]"],
RowBox[{"Integrate", "[",
RowBox[{
FractionBox[
RowBox[{
SuperscriptBox["X",
RowBox[{"-", "2"}]],
RowBox[{"Exp", "[",
RowBox[{
RowBox[{"-", "1"}], "/",
SuperscriptBox["X", "3"]}], "]"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799264639933505*^9, 3.799264669604143*^9},
3.799264722080316*^9, {3.799264797033545*^9, 3.799264836995894*^9}, {
3.7992649479102497`*^9, 3.799264951208439*^9}, {3.7992656248413467`*^9,
3.799265628600877*^9}, {3.79934565255869*^9, 3.799345666900754*^9}, {
3.799346437873282*^9, 3.7993464710600567`*^9}, {3.7993488977329197`*^9,
3.799348908587633*^9}, {3.79934917601717*^9, 3.799349182856689*^9}},
CellLabel->"In[18]:=",ExpressionUUID->"7de38bf2-d206-40cf-8fd0-4c9c91740d6b"],
Cell[BoxData[
FractionBox[
RowBox[{"9", " ",
RowBox[{"MeijerG", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",",
FractionBox["1", "3"], ",",
FractionBox["2", "3"]}], "}"}], ",",
RowBox[{"{", "}"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
FractionBox["2", "3"], ",", "1", ",", "1", ",",
FractionBox["4", "3"]}], "}"}], ",",
RowBox[{"{", "}"}]}], "}"}], ",",
FractionBox["1",
SuperscriptBox["Y", "3"]]}], "]"}]}],
RowBox[{"8", " ",
SuperscriptBox["\[Pi]", "3"], " ", "Y"}]]], "Output",
CellChangeTimes->{{3.799264828470121*^9, 3.799264842078844*^9},
3.799264955478936*^9, 3.799265634202813*^9, 3.799345679033329*^9, {
3.799346444664385*^9, 3.799346485542594*^9}, 3.7993489219594193`*^9,
3.7993493222380133`*^9, 3.8024364010246277`*^9},
CellLabel->"Out[18]=",ExpressionUUID->"30b8b907-e929-4b25-a390-515599197735"]
}, Open ]],
Cell[BoxData[{
RowBox[{
RowBox[{"\[Delta]4D", "=", "3"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Beta]4D", "=",
RowBox[{"1", "/", "2"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Nu]4D", "=",
RowBox[{"1", "/", "2"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Gamma]4D", "=", "1"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Alpha]4D", "=", "0"}], ";"}]}], "Input",
CellChangeTimes->{{3.797706115298265*^9, 3.797706148450502*^9}, {
3.7977075095201073`*^9, 3.797707512503695*^9}, {3.799187377547883*^9,
3.799187400875442*^9}, {3.802421124006805*^9, 3.80242115026849*^9}, {
3.802421276700226*^9, 3.802421280902763*^9}},
CellLabel->"In[10]:=",ExpressionUUID->"8e6b87a0-297b-413c-b727-8b0b7593317b"],
Cell[BoxData[
RowBox[{
RowBox[{"data4D", "=",
RowBox[{"Dataset", "[",
RowBox[{
RowBox[{
RowBox[{"With", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"info", "=",
RowBox[{"ToExpression", "/@",
RowBox[{"Rest", "[",
RowBox[{"StringSplit", "[",
RowBox[{
RowBox[{"FileBaseName", "[", "#", "]"}], ",", "\"\<_\>\""}],
"]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"dat", "=",
RowBox[{"Import", "[", "#", "]"}]}]}], "\[IndentingNewLine]",
"}"}], ",", "\[IndentingNewLine]",
RowBox[{"<|", "\[IndentingNewLine]",
RowBox[{
RowBox[{"\"\<D\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<L\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "2", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<T\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "3", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<H\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "4", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Me\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Mm\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "2", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Mt\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "3", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Ma\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "4", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]e\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "5", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]m\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "6", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]t\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "7", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]a\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "8", "]"}], "]"}]}]}]}], "\[IndentingNewLine]",
"|>"}]}], "]"}], "&"}], "/@",
RowBox[{
"FileNames", "[",
"\"\<~/doc/research/first_order_singularities/data/3d_ising/metastable_\
4_*_m.dat.processed\>\"", "]"}]}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.797705522745611*^9, 3.7977056916202297`*^9}, {
3.7977057959926157`*^9, 3.7977058113183813`*^9}, {3.797706405946889*^9,
3.797706407954214*^9}, {3.7983210304741507`*^9, 3.79832106378587*^9}, {
3.798364439869031*^9, 3.7983644506237392`*^9}, {3.798365938561242*^9,
3.7983659437041597`*^9}, {3.798366645212805*^9, 3.7983666891482162`*^9}, {
3.798736002164524*^9, 3.798736005852274*^9}, {3.799150074106604*^9,
3.799150074698133*^9}, {3.7991526508389063`*^9, 3.7991527437272863`*^9}, {
3.799153379138743*^9, 3.799153410482788*^9}, {3.802421284017745*^9,
3.802421290153892*^9}},
CellLabel->"In[15]:=",ExpressionUUID->"4b35d23d-ea61-4b2a-95fc-cfcef598297b"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"LogLogPlot", "[",
RowBox[{"\[ScriptCapitalY]4D0", ",",
RowBox[{"{",
RowBox[{"Y", ",", "1", ",",
SuperscriptBox["10", "6"]}], "}"}]}], "]"}]], "Input",
CellLabel->"In[20]:=",ExpressionUUID->"3631c111-9fd9-4dfc-808e-58e61fdbbbdb"],
Cell[BoxData[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], LineBox[CompressedData["
1:eJwVzXk4lAkcwHENtXLEDMk1Gsc0eE3uY6bM+2PmjQ4dlGscT7MVk2iLTbFJ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"]]},
Annotation[#, "Charting`Private`Tag$326226#1"]& ]}, {}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0., -42.70449532432346},
CoordinatesToolOptions:>{"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& ,
Charting`ScaledFrameTicks[{Log, Exp}]}, {Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& ,
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None},
PlotRange->NCache[{{0,
Log[1000000]}, {-42.70449532432346, 0.}}, {{
0, 13.815510557964274`}, {-42.70449532432346, 0.}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& }, {{{0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
FormBox["100", TraditionalForm], {0.01, 0.}}, {6.907755278982137,
FormBox["1000", TraditionalForm], {0.01, 0.}}, {9.210340371976184,
FormBox[
TemplateBox[{"10", "4"}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {11.512925464970229`,
FormBox[
TemplateBox[{"10", "5"}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {13.815510557964274`,
FormBox[
TemplateBox[{"10", "6"}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.703782474656201,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.991464547107982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.396929655216146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.551080335043404,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.684611727667927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.802394763324311,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.006367567650246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.294049640102028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.699514748210191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.85366542803745,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.987196820661973,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.104979856318357,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.903487552536127,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
10.308952660644293`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
10.596634733096073`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
10.819778284410283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.002099841204238`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.156250521031495`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.289781913656018`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.407564949312402`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
12.206072645530174`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
12.611537753638338`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
12.89921982609012,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.122363377404328`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.304684934198283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.458835614025542`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.592367006650065`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.710150042306449`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.508657738524219`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.914122846632385`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
15.201804919084164`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
15.424948470398375`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
15.60727002719233,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
15.761420707019587`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
15.89495209964411,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
16.012735135300492`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
16.11809565095832,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-43.74911676688687,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "19"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-32.23619130191664,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "14"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-20.72326583694641,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "9"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {-41.44653167389282,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-39.14394658089878,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-36.841361487904734`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-34.538776394910684`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-29.933606208922594`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-27.631021115928547`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-25.328436022934504`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-23.025850929940457`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-18.420680743952367`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-16.11809565095832,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-13.815510557964274`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.605170185988091,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0.,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{3.802436559734527*^9},
CellLabel->"Out[20]=",ExpressionUUID->"3ac27810-6f83-4625-98b0-e82af48f150c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListLogLogPlot", "[",
RowBox[{"data4D", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"0.0001",
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc4D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]4D"}], " ", "\[Delta]4D"}]]}], ",",
RowBox[{"5",
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc4D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]4D"], "#T", " ",
SuperscriptBox["#L",
RowBox[{"-", "#D"}]]}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"LogLogPlot", "[",
RowBox[{"\[ScriptCapitalY]4D0", ",",
RowBox[{"{",
RowBox[{"Y", ",", "0.1", ",",
SuperscriptBox["10", "6"]}], "}"}]}], "]"}]}], "\[IndentingNewLine]",
"]"}]], "Input",
CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, {
3.799265715899272*^9, 3.799265733210948*^9}, {3.799266549587083*^9,
3.799266565121595*^9}, {3.799267354257635*^9, 3.799267355496191*^9}, {
3.79926747907583*^9, 3.799267528491227*^9}, 3.799267982133749*^9, {
3.7992686515454407`*^9, 3.799268658975692*^9}, {3.799275155759755*^9,
3.7992751909440804`*^9}, 3.799275556471552*^9, {3.799276266609137*^9,
3.799276277960126*^9}, {3.799331228796568*^9, 3.799331230378522*^9}, {
3.799333729988521*^9, 3.799333921203677*^9}, {3.799333986519411*^9,
3.799333991783841*^9}, {3.7993341720924892`*^9, 3.7993341764037943`*^9},
3.799334210582212*^9, {3.799412383026558*^9, 3.799412416492374*^9}, {
3.80183784126678*^9, 3.801837845172216*^9}, {3.8024213315723333`*^9,
3.8024213636746902`*^9}, {3.802436483406088*^9, 3.802436498394678*^9}, {
3.802436602384001*^9, 3.802436611754842*^9}, 3.802436642628043*^9, {
3.802436727054364*^9, 3.802436727654888*^9}},
CellLabel->"In[24]:=",ExpressionUUID->"10fb4336-24c7-4f2c-a78e-ccbbefef0f21"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJwBYQKe/SFib1JlAgAAACUAAAACAAAAAd7YZ390BMBY89lh/mAHwBMZ+Zec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"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.],
LineBox[{{-1.3227160578353871`,
29.588200377823114`}, {-1.3180554659047576`,
30.558190683178356`}, {-1.314610981710702, 27.126838034332124`}}],
LineBox[CompressedData["
1:eJwVxXk81HkfAHBHiZ8xk2MiJLfJb80uIfd8MT+PYyNX7oRqC7nCQ3Z3cnSw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"]],
LineBox[{{-1.1755407437923073`,
11.046836275215053`}, {-1.1706335843095819`,
9.880847342142102}, {-1.1659729923789524`,
9.92356316849585}, {-1.1610671061361844`,
8.895317392636336}, {-1.155915925581278, 8.27430529001656}}],
LineBox[{{-1.2295156957894933`,
17.048949002657494`}, {-1.222932886031119, 16.19848749799698}}],
LineBox[{{-1.2747837229410335`,
20.640768508083003`}, {-1.2689966034770785`,
22.256410789428944`}, {-1.2640907172343105`,
22.005091472423537`}, {-1.2591848309915425`,
21.057062558329786`}, {-1.2540336504366363`, 20.328628028424816`}}],
LineBox[{{-1.2049757322386128`,
14.068967502151011`}, {-1.19540830983556,
11.848998276933056`}, {-1.190502423592792,
10.971530752770175`}, {-1.190502423592792, 10.971530752770175`}}],
LineBox[{{-1.293526034690918,
25.948027250184303`}, {-1.28862014844815,
25.390352937732345`}, {-1.286089084463939, 24.645354203742247`}}],
LineBox[{{-1.1024417655351078`,
2.2275747704321454`}, {-1.0972905849802015`,
1.5546707282925218`}, {-1.0923846987374337`, 2.5755714530692724`}}],
LineBox[{{-1.0825729262518977`,
0.021877820837247895`}, {-1.0816896507534866`, 0.6812049089323938}}],
LineBox[{{-1.1228011934425952`,
2.7674737370063416`}, {-1.1228011934425952`, 2.7674737370063416`}}],
LineBox[{{-1.307753104794945,
28.322841073120188`}, {-1.307753104794945, 28.322841073120188`}}],
LineBox[{{-1.1316317886795768`,
4.972401916479139}, {-1.1316317886795768`, 4.972401916479139}}],
LineBox[{{-1.2126534882945383`,
15.275030288976797`}, {-1.2126534882945383`, 15.275030288976797`}}],
LineBox[{{-1.249373058506007,
19.651882436487558`}, {-1.246019621958595, 18.322257070167407`}}]},
Annotation[#,
"Charting`Private`Tag$732607#1"]& ], {}}, {{}, {}}, {{}, {}}}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-2.8195213231042375`, -6.142379519973193},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-2.8195213231042375`,
3.6814384330449497`}, {-6.142379519973193, -2.9223601956022485`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.1\"", 0.1, AutoDelete -> True], NumberForm[#, {
DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01,
0.}}, {-0.6931471805599453,
FormBox[
TagBox[
InterpretationBox["\"0.5\"", 0.5, AutoDelete -> True], NumberForm[#, {
DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {1.6094379124341003`,
FormBox["5", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.0106352940962555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-5.298317366548036,
FormBox[
TagBox[
InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-3.912023005428146,
FormBox[
TagBox[
InterpretationBox["\"0.020\"", 0.02, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-2.995732273553991,
FormBox[
TagBox[
InterpretationBox["\"0.050\"", 0.05, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.199705077879927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, {
3.799266537137291*^9, 3.799266566547916*^9}, 3.799267214795848*^9, {
3.7992673562244177`*^9, 3.799267378909185*^9}, {3.799267486866403*^9,
3.799267529436865*^9}, 3.799267983310302*^9, 3.799268083810974*^9,
3.799268152298849*^9, 3.799268659972763*^9, {3.799275172550398*^9,
3.7992751917695503`*^9}, {3.799275462898712*^9, 3.799275514997849*^9}, {
3.799275557295232*^9, 3.799275571129184*^9}, 3.799275614254651*^9, {
3.7992760202373457`*^9, 3.799276034288312*^9}, {3.79927621051716*^9,
3.7992762785901623`*^9}, 3.79928076478865*^9, {3.799331218256298*^9,
3.799331230977622*^9}, 3.799331273088449*^9, 3.7993313686164637`*^9, {
3.799333771549879*^9, 3.799333791988686*^9}, {3.799333839586022*^9,
3.799333888501625*^9}, 3.799333918569846*^9, {3.799333987453171*^9,
3.799333993019472*^9}, 3.799334046684375*^9, 3.799334177270783*^9,
3.799334211449037*^9, 3.7993466292154913`*^9, 3.79941236801365*^9,
3.799412417370594*^9, {3.7994127567638083`*^9, 3.799412776835672*^9}, {
3.801837833241317*^9, 3.801837845708456*^9}, {3.802421354411059*^9,
3.802421364112357*^9}, 3.8024365065355864`*^9, 3.802436612204288*^9,
3.802436664843239*^9, 3.802436716347155*^9, 3.802436780032755*^9},
CellLabel->"Out[24]=",ExpressionUUID->"07bcbc54-851c-4c5e-87ad-7632acd27f76"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
Cell["3D Ising", "Subsection",
CellChangeTimes->{{3.7991757562240877`*^9,
3.799175758224951*^9}},ExpressionUUID->"49b10533-63dc-4aa5-b5fa-\
23a9793f57d7"],
Cell[BoxData[{
RowBox[{
RowBox[{"Tc3D", "=",
RowBox[{"1", "/", "0.22165455"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalM]03D", "=", "1.6919045"}], ";"}], " ",
RowBox[{"(*",
RowBox[{"Talapov_", "1996", "_The"}], "*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]03D", "=", "0.99051"}], ";"}],
RowBox[{"(*",
RowBox[{"Blote_", "1994", "_Ising"}], "*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalS]03D", "=",
RowBox[{"10.083", "/",
SuperscriptBox["Tc3D",
RowBox[{"2", " ", "\[Nu]3D"}]]}]}], ";"}],
RowBox[{"(*",
RowBox[{"Caselle_", "2007", "_The"}], "*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"R\[Chi]", "=", "1.674"}], ";"}],
RowBox[{"(*",
RowBox[{"Guida_", "1997", "_", "3", "D"}], "*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"CpCm", "=", "4.78"}], ";"}],
RowBox[{"(*", "Same", "*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalY]\[Infinity]3D", "=",
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(", " ",
RowBox[{"Tc3D", " ", "\[ScriptCapitalY]03D", " ", "CpCm", " ",
RowBox[{
SuperscriptBox["\[ScriptCapitalM]03D",
RowBox[{"\[Delta]3D", "-", "1"}]], "/", "R\[Chi]"}]}], ")"}],
RowBox[{"1", "/", "\[Delta]3D"}]], "/", "\[Delta]3D"}], " ", "2"}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"R3", "=",
RowBox[{"Around", "[",
RowBox[{"6.1", ",", "0.06"}], "]"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]13D", "=",
RowBox[{
RowBox[{"-", "Tc3D"}], " ",
RowBox[{
RowBox[{"Around", "[",
RowBox[{"6.015", ",", "0.015"}], "]"}], "/", " ",
"\[ScriptCapitalM]03D"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"2", "!"}],
RowBox[{
RowBox[{"Around", "[",
RowBox[{"0.5608", ",", "0.0009"}], "]"}], "/",
RowBox[{"Around", "[",
RowBox[{"4.78", ",", "0.03"}], "]"}]}]}], ")"}], "2"]}]}], ";"}],
" ",
RowBox[{"(*",
RowBox[{"Butera_", "2011"}], "*)"}]}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalY]23D", "=",
RowBox[{
RowBox[{"4", "!"}], "Tc3D", " ",
RowBox[{
RowBox[{"Around", "[",
RowBox[{"0.1608", ",", "0.0005"}], "]"}], "/",
RowBox[{"Around", "[",
RowBox[{"9.2", ",", "0.3"}], "]"}]}]}]}], ";"}]}], "Input",
CellChangeTimes->{{3.797700318460442*^9, 3.797700326541602*^9}, {
3.79770038865489*^9, 3.797700401215064*^9}, {3.797700462352066*^9,
3.797700496209168*^9}, {3.7977006414873457`*^9, 3.797700658740663*^9}, {
3.797700695397188*^9, 3.797700701244178*^9}, 3.797700806394438*^9,
3.797717754115891*^9, {3.797717828346756*^9, 3.797717829823938*^9},
3.797717864385722*^9, {3.799153535365089*^9, 3.7991535382281847`*^9}, {
3.79915358655821*^9, 3.7991535883493223`*^9}, {3.799157330515562*^9,
3.799157347467043*^9}, {3.799157529055113*^9, 3.799157535861999*^9}, {
3.799157778787387*^9, 3.7991577950263577`*^9}, {3.799187566309985*^9,
3.799187595333911*^9}, {3.799188183190444*^9, 3.7991881886780567`*^9}, {
3.799188226854637*^9, 3.799188436291348*^9}, {3.799188476515957*^9,
3.799188476738941*^9}, {3.799188532692795*^9, 3.7991885435638657`*^9},
3.79918867303148*^9, {3.799188817929282*^9, 3.79918886385736*^9}, {
3.799188922379549*^9, 3.79918892997867*^9}, {3.799188973132162*^9,
3.799188974171274*^9}, {3.799189033837137*^9, 3.7991890398123693`*^9}, {
3.799267200414168*^9, 3.79926720056504*^9}, {3.799267368312717*^9,
3.799267369560081*^9}, {3.799267948379891*^9, 3.799267967883041*^9}, {
3.799268141030575*^9, 3.799268141126009*^9}, {3.799327888905676*^9,
3.799327899825674*^9}, {3.799327941465994*^9, 3.799328053036368*^9}, {
3.799328108069318*^9, 3.799328119341186*^9}, {3.799328579814044*^9,
3.799328592538623*^9}, {3.7993286311422653`*^9, 3.799328647598433*^9}, {
3.799329103346191*^9, 3.799329114730163*^9}, {3.799329283188075*^9,
3.79932950923947*^9}, 3.799329561016927*^9, {3.7993296263217993`*^9,
3.799329653033297*^9}, {3.7993297667399883`*^9, 3.799329770027091*^9}, {
3.7993298398209553`*^9, 3.7993298711255693`*^9}, {3.799330270092021*^9,
3.79933027026016*^9}, {3.799330424606258*^9, 3.799330515646758*^9}, {
3.799330605241201*^9, 3.799330616168767*^9}, 3.799330894693182*^9, {
3.799331343477182*^9, 3.7993313490373287`*^9}, {3.799331387726803*^9,
3.79933139039809*^9}, {3.79933152822624*^9, 3.79933154215371*^9}, {
3.799331694932809*^9, 3.799331722517702*^9}, 3.799331756983374*^9, {
3.799334011017254*^9, 3.799334054856925*^9}, {3.799334190508444*^9,
3.799334203795411*^9}, {3.7993426610036087`*^9, 3.7993426612029657`*^9}},
CellLabel->"In[15]:=",ExpressionUUID->"f1c6456e-0c2c-49fc-aaa2-7b850b85b806"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Tc3D", " ",
RowBox[{"2", "!"}],
RowBox[{"Around", "[",
RowBox[{"0.5608", ",", "0.0009"}], "]"}]}]], "Input",
CellChangeTimes->{{3.799367581648717*^9, 3.799367584125394*^9}},
CellLabel->"In[25]:=",ExpressionUUID->"f63a2887-1fa5-4161-8c56-47338338f7ea"],
Cell[BoxData[
InterpretationBox[
TemplateBox[{"5.060", "0.008"},
"Around"],
Around[5.06012621892941, 0.008120744645214817]]], "Output",
CellChangeTimes->{3.799367584558216*^9, 3.799412203288734*^9,
3.801837686458748*^9, 3.802188170028665*^9},
CellLabel->"Out[25]=",ExpressionUUID->"52f7db41-ad11-4b67-8e69-a778158b4520"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"-", "\[ScriptCapitalY]\[Infinity]3D"}], " ", "/",
RowBox[{"(",
RowBox[{
SuperscriptBox["x", "2"], "-", "x"}], ")"}]}], "/.",
RowBox[{"x", "\[Rule]",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ")"}]}]}]], "Input",
CellChangeTimes->{{3.799188691548231*^9, 3.799188720446682*^9}, {
3.799272692159149*^9, 3.799272723182399*^9}, {3.799334120698841*^9,
3.799334143426195*^9}, {3.799334233869335*^9, 3.799334235467834*^9}},
CellLabel->"In[26]:=",ExpressionUUID->"6dcfffa5-1ddc-4df4-b638-4baa1f546aac"],
Cell[BoxData[
RowBox[{"-",
FractionBox[
RowBox[{"2", " ",
SuperscriptBox["12.76011700563576`",
FractionBox["1", "\[Delta]3D"]], " ",
SuperscriptBox[
RowBox[{"(",
SuperscriptBox["1.6919045`",
RowBox[{
RowBox[{"-", "1"}], "+", "\[Delta]3D"}]], ")"}],
FractionBox["1", "\[Delta]3D"]]}],
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox[
SuperscriptBox[
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "2"],
RowBox[{
SuperscriptBox["\[Beta]3D", "2"], " ",
SuperscriptBox["\[Delta]3D", "2"]}]], "-",
FractionBox[
RowBox[{"2", "-", "\[Alpha]3D"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]}], ")"}], " ",
"\[Delta]3D"}]]}]], "Output",
CellChangeTimes->{
3.799188720791069*^9, {3.799188821117722*^9, 3.7991888648827553`*^9}, {
3.7991889262901087`*^9, 3.799188930907674*^9}, 3.79918897494622*^9, {
3.7991890352383127`*^9, 3.79918904055902*^9}, 3.7992679700708647`*^9,
3.7992680708475246`*^9, 3.799268141976637*^9, 3.799272723828644*^9,
3.7993302714725122`*^9, 3.7993336501096277`*^9, 3.7993340678174458`*^9, {
3.799334120975026*^9, 3.799334143597416*^9}, {3.7993341945813627`*^9,
3.79933420526131*^9}, 3.799334235893116*^9, 3.799412203494083*^9,
3.8018376867811213`*^9, 3.802188170218989*^9},
CellLabel->"Out[26]=",ExpressionUUID->"a54e36bc-80ef-4e8c-9f23-a80ba5e27cd6"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["\[ScriptCapitalY]13D"], "Input",
CellChangeTimes->{{3.799364462692718*^9, 3.799364465501491*^9}},
CellLabel->"In[27]:=",ExpressionUUID->"25cc8106-3a0c-43da-bad7-7fd85551f221"],
Cell[BoxData[
InterpretationBox[
TemplateBox[{"-0.883", "0.012"},
"Around"],
Around[-0.8830866989852577, 0.011651435011302185`]]], "Output",
CellChangeTimes->{3.799364465786208*^9, 3.799412203692169*^9,
3.801837687314166*^9, 3.802188170407029*^9},
CellLabel->"Out[27]=",ExpressionUUID->"39f89042-7820-4dbb-a44e-9ad677c05aba"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["\[ScriptCapitalY]\[Infinity]3D"], "Input",
CellChangeTimes->{{3.799333711745964*^9, 3.799333714122218*^9}},
CellLabel->"In[28]:=",ExpressionUUID->"7dccd10e-65bf-4805-b27c-7440958b77a6"],
Cell[BoxData[
FractionBox[
RowBox[{"2", " ",
SuperscriptBox["12.76011700563576`",
FractionBox["1", "\[Delta]3D"]], " ",
SuperscriptBox[
RowBox[{"(",
SuperscriptBox["1.6919045`",
RowBox[{
RowBox[{"-", "1"}], "+", "\[Delta]3D"}]], ")"}],
FractionBox["1", "\[Delta]3D"]]}], "\[Delta]3D"]], "Output",
CellChangeTimes->{
3.799333714413383*^9, 3.799334041489729*^9, 3.799334195028824*^9, {
3.799334225946591*^9, 3.799334238513598*^9}, 3.799361587933419*^9,
3.79941220391709*^9, 3.8018376876826687`*^9, 3.802188170618188*^9},
CellLabel->"Out[28]=",ExpressionUUID->"9ef5fd03-8e77-4639-a8cc-086e57edb804"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"2", "\[Nu]3D"}]], "Input",
CellChangeTimes->{{3.799268198361796*^9, 3.799268199590803*^9}},
CellLabel->"In[29]:=",ExpressionUUID->"eb48c644-5dc7-431c-b6c5-e74629b2d7cb"],
Cell[BoxData[
RowBox[{"2", " ", "\[Nu]3D"}]], "Output",
CellChangeTimes->{3.799268199790214*^9, 3.7993302717414503`*^9,
3.799330437891016*^9, 3.79933061779379*^9, 3.799333650341305*^9,
3.801837688072122*^9, 3.8021881708323927`*^9},
CellLabel->"Out[29]=",ExpressionUUID->"c93a8c5f-db15-4dc4-a1d6-0b9dbf98989d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["\[ScriptCapitalY]03D"], "Input",
CellChangeTimes->{{3.799329429956883*^9, 3.7993294339740667`*^9}},
CellLabel->"In[30]:=",ExpressionUUID->"6c10fe0b-7dba-489b-bc9b-6f6d8ee1da19"],
Cell[BoxData["0.99051`"], "Output",
CellChangeTimes->{{3.799329430899227*^9, 3.799329451212953*^9}, {
3.799329487866293*^9, 3.799329511275679*^9}, 3.799329772722143*^9, {
3.79932985350673*^9, 3.799329874983048*^9}, 3.799330272141349*^9,
3.79933043816395*^9, 3.799330618094235*^9, 3.799331119449772*^9,
3.799333650531806*^9, 3.801837688450322*^9, 3.802188171012679*^9},
CellLabel->"Out[30]=",ExpressionUUID->"30c1c989-47c5-4bd6-9992-6198f619b876"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["\[ScriptCapitalY]23D"], "Input",
CellChangeTimes->{{3.799329139567026*^9, 3.799329169362537*^9}, {
3.799329214315748*^9, 3.799329215665455*^9}, {3.799329247436331*^9,
3.799329280469833*^9}, {3.7993293617165422`*^9, 3.799329363100934*^9}, {
3.799333655930109*^9, 3.799333655968854*^9}},
CellLabel->"In[31]:=",ExpressionUUID->"091d0402-dc79-48fc-92dd-7d7cd954ace9"],
Cell[BoxData[
InterpretationBox[
TemplateBox[{"1.89", "0.06"},
"Around"],
Around[1.8924865781891922`, 0.0619914514091747]]], "Output",
CellChangeTimes->{{3.799329144257166*^9, 3.799329169664001*^9},
3.7993292170942173`*^9, {3.799329255478364*^9, 3.799329270234209*^9}, {
3.799329363304331*^9, 3.799329383208967*^9}, 3.799329564813003*^9,
3.799329656599133*^9, {3.799330266352743*^9, 3.799330272542469*^9},
3.799330439184359*^9, 3.799330618573813*^9, 3.799331707592106*^9,
3.799331742978943*^9, {3.79933365076438*^9, 3.799333656227787*^9},
3.801837688877132*^9, 3.802188171284624*^9},
CellLabel->"Out[31]=",ExpressionUUID->"66f7cc7d-3af9-4d98-ac10-f69fe8652299"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["\[ScriptCapitalY]23D"], "Input",
CellChangeTimes->{{3.799330519237467*^9, 3.79933052082277*^9}},
CellLabel->"In[32]:=",ExpressionUUID->"40f11adf-43f8-487e-b15a-52da97821ffb"],
Cell[BoxData[
InterpretationBox[
TemplateBox[{"1.89", "0.06"},
"Around"],
Around[1.8924865781891922`, 0.0619914514091747]]], "Output",
CellChangeTimes->{3.799330521136221*^9, 3.799330619160832*^9,
3.79933365121238*^9, 3.801837689195595*^9, 3.802188171437167*^9},
CellLabel->"Out[32]=",ExpressionUUID->"6ad4c03a-38cd-4cd0-b4f4-5241d0791a2c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"B", "[",
RowBox[{"m", ",", "s"}], "]"}], "[", "3", "]"}]], "Input",
CellChangeTimes->{{3.79933251548412*^9, 3.7993325197018137`*^9}},
CellLabel->"In[33]:=",ExpressionUUID->"23b8c237-be4c-447a-b1d8-4a5c0704e0a4"],
Cell[BoxData[
RowBox[{
FractionBox["1", "2"], " ", "m", " ",
SqrtBox[
FractionBox["3", "\[Pi]"]], " ",
SuperscriptBox[
RowBox[{"(",
FractionBox["1", "s"], ")"}],
RowBox[{"3", "/", "2"}]]}]], "Output",
CellChangeTimes->{3.799332519921771*^9, 3.802188171670332*^9},
CellLabel->"Out[33]=",ExpressionUUID->"addda4ea-10b1-45ce-8120-03a6237fb707"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"B3D", "=",
RowBox[{
RowBox[{"B", "[",
RowBox[{"\[ScriptCapitalM]03D", ",", "\[ScriptCapitalS]03D"}], "]"}], "[",
"3", "]"}]}]], "Input",
CellChangeTimes->{{3.797699954311198*^9, 3.797699956620728*^9}, {
3.797700710533165*^9, 3.7977007470293694`*^9}, {3.79926564044178*^9,
3.79926564062502*^9}, {3.7992671632306757`*^9, 3.799267191852384*^9}},
CellLabel->"In[34]:=",ExpressionUUID->"1b660ecc-2b2c-468f-ac07-b9f9d583ee81"],
Cell[BoxData[
RowBox[{"0.025819444251322217`", " ",
SuperscriptBox[
RowBox[{"(",
SuperscriptBox["4.511524802897121`",
RowBox[{"2", " ", "\[Nu]3D"}]], ")"}],
RowBox[{"3", "/", "2"}]]}]], "Output",
CellChangeTimes->{
3.79770074801647*^9, 3.797700807197772*^9, 3.797717755073433*^9,
3.7977178311825123`*^9, 3.797717877189372*^9, 3.7991535925228567`*^9, {
3.799157332124851*^9, 3.7991573494721746`*^9}, 3.799157465586505*^9,
3.799157530911976*^9, {3.799157781099972*^9, 3.799157796733979*^9},
3.799185920703765*^9, 3.79926564101444*^9, {3.7992671778181047`*^9,
3.799267202746972*^9}, 3.799267371787565*^9, 3.799267970266754*^9,
3.799268071110031*^9, 3.799268142179368*^9, 3.799342666407199*^9,
3.79934497776791*^9, 3.799346163238422*^9, 3.799412209641796*^9,
3.801837697381227*^9, 3.802188172195032*^9},
CellLabel->"Out[34]=",ExpressionUUID->"8076a918-73d4-4469-b6b9-ab046ed29ecf"]
}, Open ]],
Cell[BoxData[{
RowBox[{
RowBox[{"\[Delta]3D", "=", "4.78984"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Beta]3D", "=", "0.326419"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Nu]3D", "=", "0.629971"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Gamma]3D", "=", "1.237075"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Alpha]3D", "=", "0.11008"}], ";"}]}], "Input",
CellChangeTimes->{{3.797706115298265*^9, 3.797706148450502*^9}, {
3.7977075095201073`*^9, 3.797707512503695*^9}, {3.799187377547883*^9,
3.799187400875442*^9}},
CellLabel->"In[35]:=",ExpressionUUID->"777df78d-4029-4ae4-9481-6ed62e53681e"],
Cell[BoxData[
RowBox[{
RowBox[{"data3D", "=",
RowBox[{"Dataset", "[",
RowBox[{
RowBox[{
RowBox[{"With", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"info", "=",
RowBox[{"ToExpression", "/@",
RowBox[{"Rest", "[",
RowBox[{"StringSplit", "[",
RowBox[{
RowBox[{"FileBaseName", "[", "#", "]"}], ",", "\"\<_\>\""}],
"]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"dat", "=",
RowBox[{"Import", "[", "#", "]"}]}]}], "\[IndentingNewLine]",
"}"}], ",", "\[IndentingNewLine]",
RowBox[{"<|", "\[IndentingNewLine]",
RowBox[{
RowBox[{"\"\<D\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<L\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "2", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<T\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "3", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<H\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "4", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Me\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Mm\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "2", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Mt\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "3", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Ma\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "4", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]e\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "5", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]m\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "6", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]t\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "7", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]a\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "8", "]"}], "]"}]}]}]}], "\[IndentingNewLine]",
"|>"}]}], "]"}], "&"}], "/@",
RowBox[{
"FileNames", "[",
"\"\<~/doc/research/first_order_singularities/data/3d_ising/metastable_\
3_*_m.dat.processed\>\"", "]"}]}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.797705522745611*^9, 3.7977056916202297`*^9}, {
3.7977057959926157`*^9, 3.7977058113183813`*^9}, {3.797706405946889*^9,
3.797706407954214*^9}, {3.7983210304741507`*^9, 3.79832106378587*^9}, {
3.798364439869031*^9, 3.7983644506237392`*^9}, {3.798365938561242*^9,
3.7983659437041597`*^9}, {3.798366645212805*^9, 3.7983666891482162`*^9}, {
3.798736002164524*^9, 3.798736005852274*^9}, {3.799150074106604*^9,
3.799150074698133*^9}, {3.7991526508389063`*^9, 3.7991527437272863`*^9}, {
3.799153379138743*^9, 3.799153410482788*^9}},
CellLabel->"In[40]:=",ExpressionUUID->"7a50b246-a616-45b6-82c5-9b269a36e64f"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]4D0", "=",
RowBox[{"FullSimplify", "[",
RowBox[{
RowBox[{
FractionBox["1", "\[Pi]"],
RowBox[{"Integrate", "[",
RowBox[{
FractionBox[
RowBox[{
SuperscriptBox["X",
RowBox[{"-", "2"}]],
RowBox[{"Exp", "[",
RowBox[{
RowBox[{"-", "1"}], "/",
SuperscriptBox["X", "3"]}], "]"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799264639933505*^9, 3.799264669604143*^9},
3.799264722080316*^9, {3.799264797033545*^9, 3.799264836995894*^9}, {
3.7992649479102497`*^9, 3.799264951208439*^9}, {3.7992656248413467`*^9,
3.799265628600877*^9}, {3.79934565255869*^9, 3.799345666900754*^9}, {
3.799346437873282*^9, 3.7993464710600567`*^9}, {3.7993488977329197`*^9,
3.799348908587633*^9}, {3.79934917601717*^9, 3.799349182856689*^9}},
CellLabel->
"In[1798]:=",ExpressionUUID->"4da761c1-4952-42a5-be4f-7eaeec838a3d"],
Cell[BoxData[
FractionBox[
RowBox[{"9", " ",
RowBox[{"MeijerG", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",",
FractionBox["1", "3"], ",",
FractionBox["2", "3"]}], "}"}], ",",
RowBox[{"{", "}"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
FractionBox["2", "3"], ",", "1", ",", "1", ",",
FractionBox["4", "3"]}], "}"}], ",",
RowBox[{"{", "}"}]}], "}"}], ",",
FractionBox["1",
SuperscriptBox["Y", "3"]]}], "]"}]}],
RowBox[{"8", " ",
SuperscriptBox["\[Pi]", "3"], " ", "Y"}]]], "Output",
CellChangeTimes->{{3.799264828470121*^9, 3.799264842078844*^9},
3.799264955478936*^9, 3.799265634202813*^9, 3.799345679033329*^9, {
3.799346444664385*^9, 3.799346485542594*^9}, 3.7993489219594193`*^9,
3.7993493222380133`*^9},
CellLabel->
"Out[1798]=",ExpressionUUID->"3cbc7d07-09a7-4f41-83dd-c9898c80acd0"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]3D0", "=",
RowBox[{"FullSimplify", "[",
RowBox[{
RowBox[{
FractionBox["2", "\[Pi]"],
RowBox[{"Integrate", "[",
RowBox[{
FractionBox[
RowBox[{
SuperscriptBox["X", "1"],
RowBox[{"Exp", "[",
RowBox[{
RowBox[{"-", "1"}], "/",
SuperscriptBox["X", "2"]}], "]"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799264639933505*^9, 3.799264669604143*^9},
3.799264722080316*^9, {3.799264797033545*^9, 3.799264836995894*^9}, {
3.7992649479102497`*^9, 3.799264951208439*^9}, {3.7992656248413467`*^9,
3.799265628600877*^9}, {3.79934565255869*^9, 3.799345666900754*^9}, {
3.799346437873282*^9, 3.7993464710600567`*^9}, {3.7993488977329197`*^9,
3.799348908587633*^9}, 3.79941257897401*^9, 3.801837736477009*^9, {
3.801837941660696*^9, 3.8018379454537563`*^9}, {3.801838039158558*^9,
3.801838039262199*^9}, {3.8018381647105217`*^9, 3.801838169258018*^9},
3.801839506878729*^9},
CellLabel->"In[58]:=",ExpressionUUID->"8a26f8de-f95e-4832-8ec8-348b1ad58608"],
Cell[BoxData[
FractionBox[
RowBox[{
RowBox[{"Y", " ",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"-", "2"}], " ",
SqrtBox["\[Pi]"]}], "+",
RowBox[{"2", " ", "Y"}], "+",
SuperscriptBox["Y", "3"]}], ")"}]}], "-",
RowBox[{
SuperscriptBox["\[ExponentialE]",
RowBox[{"-",
FractionBox["1",
SuperscriptBox["Y", "2"]]}]], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "2"}], "+",
SuperscriptBox["Y", "2"]}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"\[Pi]", " ",
RowBox[{"Erfi", "[",
FractionBox["1", "Y"], "]"}]}], "-",
RowBox[{"ExpIntegralEi", "[",
FractionBox["1",
SuperscriptBox["Y", "2"]], "]"}]}], ")"}]}]}],
RowBox[{"\[Pi]", " ",
SuperscriptBox["Y", "5"]}]]], "Output",
CellChangeTimes->{{3.799264828470121*^9, 3.799264842078844*^9},
3.799264955478936*^9, 3.799265634202813*^9, 3.799345679033329*^9, {
3.799346444664385*^9, 3.799346485542594*^9}, 3.7993489219594193`*^9,
3.799412226122303*^9, 3.799412588224786*^9, 3.801837739513054*^9,
3.801837956585268*^9, {3.80183815504554*^9, 3.801838169827682*^9},
3.801839511186606*^9},
CellLabel->"Out[58]=",ExpressionUUID->"07548219-774e-4f47-9b6d-0ad661d2f05d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
FractionBox["2", "\[Pi]"],
RowBox[{"Integrate", "[",
RowBox[{
FractionBox[
RowBox[{
SuperscriptBox["X", "1"],
RowBox[{"Exp", "[",
RowBox[{
RowBox[{"-", "1"}], "/",
SuperscriptBox["X", "2"]}], "]"}]}],
SuperscriptBox[
RowBox[{"(", "X", ")"}],
RowBox[{"3", "+", "n"}]]], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799412597133213*^9, 3.799412605773603*^9},
3.80183778277225*^9, {3.801837932868579*^9, 3.8018379495005836`*^9}, {
3.801838035123898*^9, 3.801838035551289*^9}, 3.801839527004766*^9},
CellLabel->"In[59]:=",ExpressionUUID->"f2b9ff0b-ec07-45f1-b93d-6317fe4399a1"],
Cell[BoxData[
TemplateBox[{
FractionBox[
RowBox[{"Gamma", "[",
FractionBox[
RowBox[{"1", "+", "n"}], "2"], "]"}], "\[Pi]"],
RowBox[{
RowBox[{"Re", "[", "n", "]"}], ">",
RowBox[{"-", "1"}]}]},
"ConditionalExpression"]], "Output",
CellChangeTimes->{{3.799412601744692*^9, 3.7994126180738373`*^9},
3.801837793185721*^9, 3.801837944544186*^9, 3.801837992620327*^9,
3.801838047885899*^9, 3.801839536791464*^9},
CellLabel->"Out[59]=",ExpressionUUID->"d6202235-a969-4ff3-821c-17579fcc7a90"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"solAB3D", "=",
RowBox[{"Solve", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"A3D", " ",
SuperscriptBox["B3D", "2"],
FractionBox[
RowBox[{"Gamma", "[",
RowBox[{"1", "+",
FractionBox["0", "2"]}], "]"}], "\[Pi]"]}], "\[Equal]",
"\[ScriptCapitalY]03D"}], "}"}], ",",
RowBox[{"{", "A3D", "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799264847521249*^9, 3.7992648838348923`*^9}, {
3.7992649382358303`*^9, 3.799264994716874*^9}, {3.7992656328894873`*^9,
3.7992656535050497`*^9}, {3.7992662948056383`*^9, 3.799266298660973*^9}, {
3.799266510843027*^9, 3.79926651851332*^9}, {3.799346057645781*^9,
3.799346073588524*^9}, {3.7994122213430243`*^9, 3.799412273087545*^9}, {
3.799412691257084*^9, 3.799412732828587*^9}, {3.801837794725778*^9,
3.801837808057336*^9}, {3.801838006154594*^9, 3.80183800848678*^9},
3.801839541824154*^9},
CellLabel->"In[60]:=",ExpressionUUID->"7cea48f2-60ec-47f7-b7ad-332766dc7eab"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"{",
RowBox[{"A3D", "\[Rule]", "15.699526303748453`"}], "}"}], "}"}]], "Output",\
CellChangeTimes->{
3.799264996033083*^9, {3.7992662928917522`*^9, 3.799266304550478*^9},
3.799266519916786*^9, 3.7992672122782784`*^9, 3.799267378050376*^9,
3.799267979207354*^9, 3.799268079962841*^9, 3.799268151042214*^9,
3.7993311418489532`*^9, 3.799331356018594*^9, {3.799346053661993*^9,
3.799346074533403*^9}, 3.79934616778876*^9, 3.7993464964524727`*^9,
3.799349776854609*^9, 3.79941227368545*^9, 3.799412669912252*^9, {
3.799412724553904*^9, 3.7994127330557833`*^9}, 3.801837811599408*^9,
3.801838008973401*^9, 3.8018395428660717`*^9},
CellLabel->"Out[60]=",ExpressionUUID->"ab399092-429b-4341-88f9-346d004c19ae"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["B3D"], "Input",
CellChangeTimes->{{3.7994122751956177`*^9, 3.799412275904149*^9}},
CellLabel->"In[70]:=",ExpressionUUID->"0e6ef774-a14b-4ce2-a5a6-2923f3c3094e"],
Cell[BoxData["0.44520608767620024`"], "Output",
CellChangeTimes->{3.799412276117166*^9, 3.799412736793363*^9},
CellLabel->"Out[70]=",ExpressionUUID->"98428a8e-04fe-4a8c-8f0e-42272988f46d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["B3D"], "Input",
CellChangeTimes->{{3.7993461578507633`*^9, 3.7993461581818323`*^9}},
CellLabel->
"In[1800]:=",ExpressionUUID->"333b9c19-22f8-4667-a9b1-486b2205e8c3"],
Cell[BoxData["0.44520608767620024`"], "Output",
CellChangeTimes->{3.799346158359766*^9, 3.799346345163335*^9,
3.799349788014494*^9},
CellLabel->
"Out[1800]=",ExpressionUUID->"3b587068-ebe9-48cc-bae0-26862ca99a8c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]3D1", "=",
RowBox[{
RowBox[{"A3D", " ",
SuperscriptBox["B3D", "2"], "\[ScriptCapitalY]3D0"}], "/.",
RowBox[{"solAB3D", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.7992650087143393`*^9, 3.799265151873849*^9}, {
3.7992652817721357`*^9, 3.79926529785892*^9}, {3.799265662338277*^9,
3.79926568854569*^9}, {3.7992665316270847`*^9, 3.79926653196107*^9}, {
3.799268639888319*^9, 3.799268640606805*^9}, {3.799331256515684*^9,
3.7993312580268793`*^9}, {3.799331363015367*^9, 3.799331363805347*^9}, {
3.799412334483768*^9, 3.799412359722262*^9}, {3.801837822469417*^9,
3.801837827667575*^9}},
CellLabel->"In[43]:=",ExpressionUUID->"782da974-7b2d-41fb-80b3-c5b9ae72928a"],
Cell[BoxData[
FractionBox[
RowBox[{"0.99051`", " ",
RowBox[{"(",
RowBox[{
RowBox[{"Y", " ",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"-", "2"}], " ", "Y"}], "+",
SuperscriptBox["Y", "3"], "-",
RowBox[{"2", " ",
SqrtBox["\[Pi]"], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+",
SuperscriptBox["Y", "2"]}], ")"}]}]}], ")"}]}], "+",
RowBox[{
SuperscriptBox["\[ExponentialE]",
RowBox[{"-",
FractionBox["1",
SuperscriptBox["Y", "2"]]}]], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "2"}], "+",
RowBox[{"3", " ",
SuperscriptBox["Y", "2"]}]}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"\[Pi]", " ",
RowBox[{"Erfi", "[",
FractionBox["1", "Y"], "]"}]}], "-",
RowBox[{"ExpIntegralEi", "[",
FractionBox["1",
SuperscriptBox["Y", "2"]], "]"}]}], ")"}]}]}], ")"}]}],
SuperscriptBox["Y", "6"]]], "Output",
CellChangeTimes->{
3.79926504690516*^9, 3.79926509964904*^9, {3.799265131204915*^9,
3.799265152115966*^9}, {3.799265282662683*^9, 3.7992652981517677`*^9}, {
3.799266525132991*^9, 3.799266532270993*^9}, 3.799267213034593*^9,
3.7992673781179037`*^9, 3.799267979288787*^9, 3.799268080790303*^9,
3.7992681511042356`*^9, 3.7992686416269484`*^9, 3.799331147517427*^9,
3.799331258287459*^9, 3.799331364088977*^9, 3.799346250074888*^9,
3.7993464999341803`*^9, 3.79934978925599*^9, {3.799412339619573*^9,
3.799412360064275*^9}, 3.7994127707373323`*^9, {3.8018378240988493`*^9,
3.801837827967716*^9}},
CellLabel->"Out[43]=",ExpressionUUID->"7a6c7b6c-7122-4f4c-91ad-5c8b5e6f7e0f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["co3D0"], "Input",
CellChangeTimes->{{3.7994124666277437`*^9, 3.799412471069243*^9}},
CellLabel->"In[48]:=",ExpressionUUID->"a0bbe7ea-c905-4881-bebe-82e1bb30a8a0"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",",
RowBox[{"{", "0.99051`", "}"}], ",", "0.99051`", ",", "0.99051`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"1", ",",
RowBox[{"{", "0.8830866989852575`", "}"}], ",", "0.8830866989852577`",
",", "0.011651435011302185`"}], "}"}], ",",
RowBox[{"{",
RowBox[{"2", ",",
RowBox[{"{", "0.588501392646181`", "}"}], ",", "1.8924865781891922`",
",", "0.0619914514091747`"}], "}"}], ",",
RowBox[{"{",
RowBox[{"3", ",",
RowBox[{"{", "0.3587534607218351`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"4", ",",
RowBox[{"{", "0.21292915582284191`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"5", ",",
RowBox[{"{", "0.126250208061897`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"6", ",",
RowBox[{"{", "0.07568955310313913`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"7", ",",
RowBox[{"{", "0.04616016660650898`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"8", ",",
RowBox[{"{", "0.028724081153267404`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"9", ",",
RowBox[{"{", "0.01826419356522753`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"10", ",",
RowBox[{"{", "0.011873351329415596`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"11", ",",
RowBox[{"{", "0.007891988313602135`", "}"}], ",", "0", ",", "0"}], "}"}],
",",
RowBox[{"{",
RowBox[{"12", ",",
RowBox[{"{", "0.005362079624562036`", "}"}], ",", "0", ",",
RowBox[{"Abs", "[",
RowBox[{
RowBox[{"{",
RowBox[{
"0.99051`", ",", "0.011651435011302185`", ",", "0.0619914514091747`",
",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0",
",", "0", ",", "0"}], "}"}], "\[LeftDoubleBracket]", "13",
"\[RightDoubleBracket]"}], "]"}]}], "}"}]}], "}"}]], "Output",
CellChangeTimes->{{3.799412467484538*^9, 3.7994124712185087`*^9},
3.799412519972563*^9},
CellLabel->"Out[48]=",ExpressionUUID->"e2a05904-22f2-4e82-a4ab-a7395bbe76f0"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"co3D0", "=",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"#", "-", "1"}], ",",
RowBox[{
RowBox[{"A3D", " ",
SuperscriptBox["B3D",
RowBox[{"1", "+", "#"}]],
FractionBox[
RowBox[{"Gamma", "[",
RowBox[{"1", "+",
FractionBox[
RowBox[{"#", "-", "1"}], "2"]}], "]"}], "\[Pi]"]}], "/.",
RowBox[{"solAB3D", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",",
RowBox[{"Abs", "@",
RowBox[{
RowBox[{"{",
RowBox[{"\[ScriptCapitalY]03D", ",",
RowBox[{"\[ScriptCapitalY]13D", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"\[ScriptCapitalY]23D", "[", "\"\<Value\>\"", "]"}], ",",
"0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0",
",", "0", ",", "0", ",", "0"}], "}"}], "[",
RowBox[{"[", "#", "]"}], "]"}]}], ",",
RowBox[{"Abs", "@",
RowBox[{
RowBox[{"{",
RowBox[{"\[ScriptCapitalY]03D", ",",
RowBox[{"\[ScriptCapitalY]13D", "[", "\"\<Uncertainty\>\"", "]"}],
",",
RowBox[{"\[ScriptCapitalY]23D", "[", "\"\<Uncertainty\>\"", "]"}],
",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",", "0", ",",
"0", ",", "0", ",", "0"}], "}"}], "[",
RowBox[{"[", "#", "]"}], "]"}]}]}], "}"}], "&"}], "/@",
RowBox[{"Range", "[", "13", "]"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.7993266303601913`*^9, 3.799326689316175*^9}, {
3.799326965138904*^9, 3.7993269744327183`*^9}, {3.79932712376439*^9,
3.799327212077005*^9}, {3.7993272454223824`*^9, 3.7993272573018837`*^9}, {
3.799327406729306*^9, 3.7993274091126328`*^9}, {3.799328702383209*^9,
3.799328720614725*^9}, {3.799330638377715*^9, 3.799330659882476*^9}, {
3.79933069178753*^9, 3.799330730908463*^9}, {3.799330784342874*^9,
3.799330784566249*^9}, {3.799330868033222*^9, 3.799330891420426*^9}, {
3.7993310097004967`*^9, 3.799331093550682*^9}, {3.7993311826258497`*^9,
3.7993311942251987`*^9}, {3.7993318634339314`*^9, 3.79933193013905*^9}, {
3.799346120926468*^9, 3.7993461483904333`*^9}, {3.799346189727833*^9,
3.7993462064482718`*^9}, {3.7993462703533583`*^9, 3.799346291113949*^9},
3.7993465934800577`*^9, {3.7993499920661087`*^9, 3.799350067170364*^9}, {
3.7994124374870977`*^9, 3.799412449291142*^9}, {3.799412487599605*^9,
3.79941256415818*^9}, {3.799412625187084*^9, 3.79941265888874*^9}, {
3.801837891327551*^9, 3.8018379004371*^9}, {3.801838015516111*^9,
3.801838017141676*^9}, {3.801838059583358*^9, 3.801838075726816*^9}, {
3.8018395524102783`*^9, 3.801839552494493*^9}},
CellLabel->"In[62]:=",ExpressionUUID->"dc064637-8e2e-4e42-9a65-d6e815f7a26e"],
Cell[BoxData[
TemplateBox[{
"Part", "partw",
"\"Part \\!\\(\\*RowBox[{\\\"13\\\"}]\\) of \\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{\\\"0.99051`\\\", \\\",\\\", \\\"0.011651435011302185`\\\", \
\\\",\\\", \\\"0.0619914514091747`\\\", \\\",\\\", \\\"0\\\", \\\",\\\", \
\\\"0\\\", \\\",\\\", \\\"0\\\", \\\",\\\", \\\"0\\\", \\\",\\\", \\\"0\\\", \
\\\",\\\", \\\"0\\\", \\\",\\\", \\\"0\\\", \\\",\\\", \\\"0\\\", \\\",\\\", \
\\\"0\\\"}], \\\"}\\\"}]\\) does not exist.\"", 2, 62, 11,
31378081762151990135, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799350073083322*^9, 3.7994124510478888`*^9, {3.799412488373801*^9,
3.799412564481051*^9}, {3.799412647024124*^9, 3.7994126762377453`*^9},
3.799412740186842*^9, 3.801837903333726*^9, 3.801838017533257*^9, {
3.801839550046256*^9, 3.801839552805369*^9}},
CellLabel->
"During evaluation of \
In[62]:=",ExpressionUUID->"70e3720e-a305-4c7e-a7d4-cedaf34144e3"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"ListLogPlot", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"co3D0", "[",
RowBox[{"[",
RowBox[{"All", ",",
RowBox[{"{",
RowBox[{"1", ",", "2"}], "}"}]}], "]"}], "]"}], ",",
RowBox[{"co3D0", "[",
RowBox[{"[",
RowBox[{"All", ",",
RowBox[{"{",
RowBox[{"1", ",", "3"}], "}"}]}], "]"}], "]"}]}], "}"}], ",",
RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]], "Input",
CellChangeTimes->{{3.7992828862286243`*^9, 3.799283206569066*^9}, {
3.7992832986907787`*^9, 3.799283299744712*^9}, {3.799283415923752*^9,
3.799283445531232*^9}, {3.799324176495975*^9, 3.7993241967765217`*^9}, {
3.79932425281042*^9, 3.79932425707273*^9}, {3.799325724539999*^9,
3.799325729738563*^9}, {3.7993269803616*^9, 3.7993269812008677`*^9}, {
3.7993270973877373`*^9, 3.799327118251998*^9}, {3.7993286603279543`*^9,
3.799328729926796*^9}, {3.799331024422772*^9, 3.79933102518083*^9}, {
3.799331068789427*^9, 3.7993310787024937`*^9}, {3.799331442695972*^9,
3.799331446279368*^9}},
CellLabel->"In[63]:=",ExpressionUUID->"15aed986-338b-4a62-a1f4-d015cf3e9355"],
Cell[BoxData[
GraphicsBox[{{}, {{
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6],
PointBox[{{0., -0.009535316983338817}, {1., -0.9395355402672132}, {
2., -1.6279712882805968`}, {3., -2.1525064034563064`}, {
4., -2.5532600790179094`}, {5., -2.8546516428794093`}, {
6., -3.0730837616470574`}, {7., -3.2203246456812993`}, {
8., -3.3052253718244247`}, {9., -3.3346832202022827`}, {
10., -3.314223430687582}, {11., -3.2483710992611154`}, {
12., -3.140899932756785}}]},
{RGBColor[0.880722, 0.611041, 0.142051], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6],
PointBox[{{0., -0.009535316983338817}, {1., -0.12433189635191845`}, {2.,
0.6378916141982105}}]}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]},
{RGBColor[0.880722, 0.611041, 0.142051], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]}, {}, {}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]},
{RGBColor[0.880722, 0.611041, 0.142051], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]}, {}, {}, {}}}, {{}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, -3.645559745474962},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImageSize->{342.9000000000001, Automatic},
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Identity[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Identity[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{0, 12.}, {-3.645559745474962, 0.6378916141982105}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{Automatic,
Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-2.995732273553991,
FormBox[
TagBox[
InterpretationBox["\"0.05\"", 0.05, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-0.6931471805599453,
FormBox[
TagBox[
InterpretationBox["\"0.50\"", 0.5, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.70805020110221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.799327118448719*^9, {3.79932715784599*^9, 3.799327215356681*^9}, {
3.799327249819487*^9, 3.799327259972872*^9}, 3.799327412050026*^9, {
3.799328691314989*^9, 3.7993287302435617`*^9}, {3.799330629293921*^9,
3.799330662696395*^9}, {3.799330701344308*^9, 3.799330739170356*^9},
3.79933078782679*^9, 3.799330872062262*^9, 3.799331017198599*^9, {
3.799331079433082*^9, 3.799331094247074*^9}, 3.799331156240246*^9,
3.799331196521204*^9, {3.799331376788587*^9, 3.799331403857029*^9},
3.799331446780918*^9, {3.799331726075687*^9, 3.7993317626746197`*^9},
3.799331932460689*^9, 3.799346082955175*^9, {3.799346122650793*^9,
3.799346207828108*^9}, {3.7993462580641537`*^9, 3.799346296064724*^9},
3.799346532353222*^9, 3.799346606421401*^9, 3.799349803814809*^9,
3.799350010051592*^9, {3.799350063697811*^9, 3.799350073203614*^9},
3.7994124539490967`*^9, {3.799412505799555*^9, 3.799412566091488*^9}, {
3.79941265210711*^9, 3.7994126768223743`*^9}, 3.799412740833448*^9,
3.801837911060688*^9, 3.8018380184614887`*^9, 3.8018395531552896`*^9},
CellLabel->"Out[63]=",ExpressionUUID->"318c94c7-f970-41f1-9c2a-64db12eab69e"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Export", "[",
RowBox[{
"\"\<~/doc/research/thesis/data/essential/data_coefficients_3d_0.dat\>\"",
",", "\[IndentingNewLine]", "co3D0"}], "\[IndentingNewLine]",
"]"}]], "Input",
CellChangeTimes->{{3.7993266303601913`*^9, 3.799326689316175*^9}, {
3.799331846865254*^9, 3.799331847704052*^9}, {3.799331936817669*^9,
3.799331938042801*^9}},
CellLabel->
"In[1814]:=",ExpressionUUID->"1c1575ca-b9c2-4a49-8cf5-d07a0c1017d1"],
Cell[BoxData["\<\"~/doc/research/thesis/data/essential/data_coefficients_3d_0.\
dat\"\>"], "Output",
CellChangeTimes->{3.799326690985845*^9, 3.799331939856174*^9,
3.799350118786792*^9},
CellLabel->
"Out[1814]=",ExpressionUUID->"dc661623-b324-4ced-bc58-c35c3d8c47c0"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["co2D0"], "Input",
CellChangeTimes->{{3.799328769275547*^9, 3.799328775486713*^9}},
CellLabel->
"In[1449]:=",ExpressionUUID->"5c95083e-ed9c-4ef0-a3ee-26fcf9cd05dd"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", "0.02553990118070521`", ",", "0.0255399011807052`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"1", ",", "0.01918922404883576`", ",", "0.01763582632660643`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"2", ",", "0.019223583625275372`", ",", "0.01799885725335094`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"3", ",", "0.024072505906015028`", ",", "0.02341104551575937`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"4", ",", "0.03617341398301291`", ",", "0.0365081835685834`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"5", ",", "0.06341682353349776`", ",", "0.0660187027859558`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"6", ",", "0.12706075111145415`", ",", "0.13555048290924687`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"7", ",", "0.286398589051674`", ",", "0.3113918274300183`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"8", ",", "0.7172785117293166`", ",", "0.791370566223586`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"9", ",", "1.976047827614739`", ",", "2.203891994420519`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"10", ",", "5.938758216333461`", ",", "6.68659422019822`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"11", ",", "19.335523857669376`", ",", "21.912570849528134`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"12", ",", "67.79550887761825`", ",", "77.38912501987645`"}],
"}"}]}], "}"}]], "Output",
CellChangeTimes->{3.799328775763933*^9},
CellLabel->
"Out[1449]=",ExpressionUUID->"4fa8d5d9-d0a4-433f-8b6a-df452268a47a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]], "Input",
CellLabel->
"In[893]:=",ExpressionUUID->"c0007b02-44f7-4fea-a08b-a30d94a9a9cf"],
Cell[BoxData["1.2087792173006255`"], "Output",
CellChangeTimes->{3.799276796889333*^9},
CellLabel->
"Out[893]=",ExpressionUUID->"c0e47910-92e6-425e-9a14-a4edcf0ac223"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"solAc3D", "=",
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"\[ScriptCapitalY]03D", "\[Equal]",
RowBox[{"\[ScriptCapitalF]D", "[",
RowBox[{"3", ",", "A3D", ",", "B3D", ",", "c3D", ",",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ",", "2", ",",
"0.5"}], "]"}]}], ",",
RowBox[{"\[ScriptCapitalY]\[Infinity]3D", "\[Equal]",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}],
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "1"}],
")"}],
RowBox[{"Gamma", "[",
RowBox[{"2", "-",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]}], "]"}],
RowBox[{"Gamma", "[",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "1"}],
"]"}],
FractionBox["1", "\[Pi]"], "A3D", " ",
SuperscriptBox["c3D",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ")"}]],
SuperscriptBox[
RowBox[{"(", "B3D", ")"}],
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]]}]}]}], "}"}],
",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"A3D", ",", "77"}], "}"}], ",",
RowBox[{"{",
RowBox[{"c3D", ",", "1"}], "}"}]}], "}"}], ",",
RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799274802860145*^9, 3.799274976045903*^9}, {
3.799275142888137*^9, 3.7992751433352423`*^9}, {3.7992760641418056`*^9,
3.79927618407165*^9}, {3.799280745620797*^9, 3.79928075309188*^9}, {
3.799283643527923*^9, 3.799283647342602*^9}, {3.799283677599986*^9,
3.79928368272735*^9}, {3.799283794866105*^9, 3.799283819321507*^9}},
CellLabel->
"In[1112]:=",ExpressionUUID->"0f743e4c-b934-4047-824f-9118b8241f11"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "precw",
"\"The precision of the argument function \
(\\!\\(\\*FractionBox[SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\
\", FractionBox[\\\"463.28459520784253`\\\", SuperscriptBox[\\\"Xp\\\", \\\"2\
\\\"]]}]], RowBox[{SuperscriptBox[RowBox[{\\\"(\\\", \
RowBox[{FractionBox[\\\"2.2144171958821146`\\\", SuperscriptBox[\\\"Xp\\\", \
RowBox[{\\\"\[LeftSkeleton]\\\", \\\"19\\\", \\\"\[RightSkeleton]\\\"}]]], \\\
\"+\\\", RowBox[{\\\"0.04645966459613096`\\\", \\\" \\\", \\\"Xp\\\"}]}], \
\\\")\\\"}], \\\"4.666666666666667`\\\"], \\\" \\\", \
SuperscriptBox[\\\"Xp\\\", \\\"3\\\"]}]]\\)) is less than WorkingPrecision \
(\\!\\(\\*RowBox[{\\\"30.`\\\"}]\\)).\"", 2, 1112, 774, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9,
3.7992838197690353`*^9}},
CellLabel->
"During evaluation of \
In[1112]:=",ExpressionUUID->"dc7216b0-7063-4b23-a21f-d7faa13d3df8"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "precw",
"\"The precision of the argument function \
(\\!\\(\\*FractionBox[SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\
\", FractionBox[\\\"463.28459520784253`\\\", SuperscriptBox[\\\"Xp\\\", \\\"2\
\\\"]]}]], RowBox[{SuperscriptBox[RowBox[{\\\"(\\\", \
RowBox[{FractionBox[\\\"2.2144171958821146`\\\", SuperscriptBox[\\\"Xp\\\", \
RowBox[{\\\"\[LeftSkeleton]\\\", \\\"19\\\", \\\"\[RightSkeleton]\\\"}]]], \\\
\"+\\\", RowBox[{\\\"0.04645966459613096`\\\", \\\" \\\", \\\"Xp\\\"}]}], \
\\\")\\\"}], \\\"4.666666666666667`\\\"], \\\" \\\", \
SuperscriptBox[\\\"Xp\\\", \\\"3\\\"]}]]\\)) is less than WorkingPrecision \
(\\!\\(\\*RowBox[{\\\"30.`\\\"}]\\)).\"", 2, 1112, 775, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9,
3.799283819819783*^9}},
CellLabel->
"During evaluation of \
In[1112]:=",ExpressionUUID->"d04ee94c-6e60-45cc-a006-5c7e3a020a26"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "precw",
"\"The precision of the argument function \
(\\!\\(\\*FractionBox[SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\
\", FractionBox[\\\"463.28459520784253`\\\", SuperscriptBox[\\\"Xp\\\", \\\"2\
\\\"]]}]], RowBox[{SuperscriptBox[RowBox[{\\\"(\\\", \
RowBox[{FractionBox[\\\"2.2144171958821146`\\\", SuperscriptBox[\\\"Xp\\\", \
RowBox[{\\\"\[LeftSkeleton]\\\", \\\"19\\\", \\\"\[RightSkeleton]\\\"}]]], \\\
\"+\\\", RowBox[{\\\"0.04645966459613096`\\\", \\\" \\\", \\\"Xp\\\"}]}], \
\\\")\\\"}], \\\"4.666666666666667`\\\"], \\\" \\\", \
SuperscriptBox[\\\"Xp\\\", \\\"3\\\"]}]]\\)) is less than WorkingPrecision \
(\\!\\(\\*RowBox[{\\\"30.`\\\"}]\\)).\"", 2, 1112, 776, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9,
3.799283819834196*^9}},
CellLabel->
"During evaluation of \
In[1112]:=",ExpressionUUID->"641882e3-f811-41b6-8d28-21a125953a9b"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"NIntegrate\\\", \
\\\"::\\\", \\\"precw\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1112, 777, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9,
3.7992838198448877`*^9}},
CellLabel->
"During evaluation of \
In[1112]:=",ExpressionUUID->"7431081a-9c55-4cde-9a4b-8c2790867ab3"],
Cell[BoxData["$Aborted"], "Output",
CellChangeTimes->{
3.799274890025193*^9, {3.799274963580843*^9, 3.799274976211142*^9},
3.7992751441449213`*^9, {3.799276171337564*^9, 3.7992761851337748`*^9},
3.799280754600988*^9, 3.7992836605825987`*^9, 3.799283755299264*^9,
3.799283816758369*^9, 3.7992838901694717`*^9},
CellLabel->
"Out[1112]=",ExpressionUUID->"016d03f7-79e4-4384-b5d2-fa6ab1290706"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"\[ScriptCapitalY]3D2", "=",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"10", "^", "x"}], ",",
RowBox[{
RowBox[{"\[ScriptCapitalF]Real", "[",
RowBox[{"3", ",",
RowBox[{"A3D", "/.", "solAc3D"}], ",", "B3D", ",", " ",
RowBox[{"c3D", "/.", "solAc3D"}], ",",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ",", "2"}],
"]"}], "[",
RowBox[{"10", "^", "x"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "5"}], ",", "5", ",", "0.1"}], "}"}]}], "]"}]}],
";"}]], "Input",
CellChangeTimes->{{3.799274993641975*^9, 3.799275045832779*^9}, {
3.799275080725634*^9, 3.799275150736534*^9}, {3.799275454333933*^9,
3.799275513000143*^9}, 3.79927556939865*^9, {3.799275612774645*^9,
3.7992756129261303`*^9}, {3.799276017389124*^9, 3.799276032635975*^9}, {
3.799276193047822*^9, 3.7992762363834248`*^9}},
CellLabel->
"In[1023]:=",ExpressionUUID->"e906386f-8b34-484b-a21d-2bfb5ede0c16"],
Cell[BoxData["\[ScriptCapitalY]"], "Input",
CellChangeTimes->{{3.7992762237640944`*^9,
3.799276224786467*^9}},ExpressionUUID->"15d8641a-f5e8-448f-b316-\
66015f59c3e6"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListPlot", "[",
RowBox[{
RowBox[{"data3D", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{", " ",
RowBox[{
RowBox[{
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]3D"}], " ", "\[Delta]3D"}]]}], ",",
RowBox[{
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]3D"], "#T", " ",
SuperscriptBox["#L",
RowBox[{"-", "#D"}]]}]}], " ", "}"}], "&"}]}], "]"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", "1"}], "}"}], ",", "All"}], "}"}]}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"\[ScriptCapitalY]03D", "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]13D", "[", "\"\<Value\>\"", "]"}], "x"}]}],
",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "5"}], "}"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.802188196365984*^9, 3.802188251071034*^9}, {
3.8021882975876913`*^9, 3.802188349783931*^9}, {3.802191497650473*^9,
3.802191528246076*^9}},
CellLabel->"In[49]:=",ExpressionUUID->"d912e9d8-eef8-487c-8990-f27d991248fe"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJw913k0FVr0B3AyRiIlScZrrveMGUL7NJIhU3gkoUwhQqa8SqJBeTIrZMiU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"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.007333333333333334], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.007333333333333334], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwB4QQe+yFib1JlAgAAAE0AAAACAAAAnX5iBjFkez78zarWQbLvP8TTIExX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"]]},
Annotation[#, "Charting`Private`Tag$36870#1"]& ]}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImageSize->{424., Automatic},
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Identity[
Part[#, 1]],
Identity[
Part[#, 2]]}& )}},
PlotRange->{{0, 1}, {0, 1.012137423799746}},
PlotRangeClipping->True,
PlotRangePadding->{{0, 0}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{{3.802188210625875*^9, 3.802188251368586*^9}, {
3.802188327898714*^9, 3.802188350233459*^9}, {3.802191498279295*^9,
3.802191528578898*^9}},
CellLabel->"Out[49]=",ExpressionUUID->"ce4d45c0-89cc-4130-a3f6-d8f08490f991"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListLogLogPlot", "[",
RowBox[{
RowBox[{"data3D", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"B3D", " ",
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]3D"}], " ", "\[Delta]3D"}]]}], ",",
RowBox[{
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]3D"], "#T", " ",
SuperscriptBox["#L",
RowBox[{"-", "#D"}]]}]}], " ", "}"}], "&"}]}], "]"}], "/.",
"solAB3D"}], "]"}], ",", "\[IndentingNewLine]",
RowBox[{"LogLogPlot", "[",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"\[ScriptCapitalY]3D1", ",", " ",
RowBox[{"\[ScriptCapitalY]\[Infinity]3D", " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["B3D",
RowBox[{"-", "1"}]], " ", "Y"}], ")"}],
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-",
"2"}]]}]}], "}"}], "/.", "solAB3D"}], ",",
RowBox[{"{",
RowBox[{"Y", ",", "0.0001", ",", "1000"}], "}"}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, {
3.799265715899272*^9, 3.799265733210948*^9}, {3.799266549587083*^9,
3.799266565121595*^9}, {3.799267354257635*^9, 3.799267355496191*^9}, {
3.79926747907583*^9, 3.799267528491227*^9}, 3.799267982133749*^9, {
3.7992686515454407`*^9, 3.799268658975692*^9}, {3.799275155759755*^9,
3.7992751909440804`*^9}, 3.799275556471552*^9, {3.799276266609137*^9,
3.799276277960126*^9}, {3.799331228796568*^9, 3.799331230378522*^9}, {
3.799333729988521*^9, 3.799333921203677*^9}, {3.799333986519411*^9,
3.799333991783841*^9}, {3.7993341720924892`*^9, 3.7993341764037943`*^9},
3.799334210582212*^9, {3.799412383026558*^9, 3.799412416492374*^9}, {
3.80183784126678*^9, 3.801837845172216*^9}},
CellLabel->"In[45]:=",ExpressionUUID->"f608ea82-1ded-4cf2-bd1f-900e70ed761a"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"9.993416774528417`*^7\\\"}], \\\"]\\\"}]\\) is too small to represent as \
a normalized machine number; precision may be lost.\"", 2, 45, 5,
31378081762151990135, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, {3.799331217971383*^9,
3.799331230776862*^9}, 3.799331272718568*^9, 3.799331368214308*^9, {
3.79933377101283*^9, 3.799333791355668*^9}, {3.7993338389090843`*^9,
3.7993339180034513`*^9}, {3.7993339869076233`*^9, 3.799333992503744*^9},
3.799334046222641*^9, 3.799334176791914*^9, 3.799334210919043*^9,
3.7993466278848267`*^9, 3.799412367203395*^9, 3.7994124170538187`*^9, {
3.79941275643847*^9, 3.799412776516285*^9}, {3.8018378331522818`*^9,
3.8018378455549097`*^9}},
CellLabel->
"During evaluation of \
In[45]:=",ExpressionUUID->"75717696-4cdf-47f7-9813-91eaa3ce1b08"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJw9lmc81f3/x89xnMOxjk1GKi2FJE30/VZ02dkipCjJpigyK7kiu0iKzMoo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"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.007333333333333334], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.007333333333333334], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwVl3c4FYwXx2Vvrn3vtS4is2hpukippBKZqfDqRRRSbypK9157bxkZGQ0r
KfMcMisS3UpCVqSQkR2/fn+d5/Oc83zP+Z6/zqE4XDL7h5WFhcVuAwvL/2MT
PioucVPABr7jfpkiNGA3sEdVFwVMohmamInSQP+lcEemswIOn/BdZhOjQXWj
z1T0eQW8O0BZdRGnQckrPS0vSwVkl2t7SpWiQer7rkc6hgoYVjExR5SlgefY
Su5TkgJuMFkTpKnRoNClsFxdSgGjl8I2nVKnwc/xc03Z4gpYwttqrKhBA+eJ
xpFYYQU0tffPatKkgd1MpNIVTgV82VvVT9SmwcFVxaxtMxQcVn76ZHYnDaSF
TdKetVKQ8qba3O8gDRQKyjUWmigoNKt0jn6IBioGlGrdBgqWdx5nhhvTQOfK
/OeqWgr+/vOMPfsIDYw/3Zeqf0pBVbH3hX2mNPC+/zu2PY2CTtg2nWpJg1db
MkJGPSlYYZ3XaehKg45WHpLqJQo+CRoTuulGA6bDlQLXixQ0ORC5/OwiDb7G
HW6ZcKZg8NDhAa1LNJhfnOWYs/3LaW3bt1/5O1+d8R2WgxS8teovnOBHg+sn
Z64RSRR8e/XPaEXc3/oY7rhgSQrOZ2uMiybQ4Mp72eIlMQrenIzIv5RIAw/L
o2PdQn/9j3100EihgcOZHKsUDgrK0YL5qzJocMTl9C7ytDyWeLnv2Pzo737u
VC5Lt8jjoXO7Yu6+pEFyfYdEeKM8hm3PzyE20kCCfVTnT708BoSewZImGggH
irr11sgjZ4KI7FgrDTjCL/akPZVH/5KsavcOGkwmyVbLZshjTMt/A329NIDi
gFvyV+WRGbXZ7uIyDdrB+FqatzxKqJeF6q3SoK9d0JPkKY8/WqW5xNdosPYz
xUnsojyePKs+0bSBDntVnx7ldpDHEEG2loM8dHiROUT8dUwem55NmFVI0aE4
5kA5bJRHn3+qrPx30QEzeYv3KsrjY/r+b5l76PC2uKOgQl4e242uKjbvo8Nk
u13aU7I8LpJCK4kGdNDg86HlEeQxTn2isv8IHcy4jj6QXZHD5AcDQjN2dDjw
nb+v5qEcagy4Hz98lw6zO3jeHXkgh1SWSt51Oh2yaBwNHzPkMCZyw/UXQXTY
IL9WMB0nh9sFKwJ2RNCh9vSUz0Z/OWRdb+o+m0yHXQ3vBMJPyaFBss3Gi8V0
0MpI2Ge3KovrKvkq0QN06P0Zs+X7vCx6XSyLbR6mQ9juSMWr07JYsdPQgXWM
Dj+YgTxR32QxaLJnP32SDvn815kvO2RRgtc9A1fooOBr667+QBatkxedRCUZ
IGkhn7Z8TBZJzo2rFicZUD7rXTBsLIu0cYuKIXMGmMc0P2s3lEUWS8tVHysG
xLz1aM/aJYtXxKo08s8ygP9IzfqRjbKoXcv+2dCDASx6Ng73VmXwwFaRxDNh
DBjfFKey95EMfvk3u9ToDQOCmke3KufK4POB6wuXOhig4ryHKpwpg9sO9QRn
vGeAU/ag1XCCDKpt0i8V7GVAn4x2SFiADG79FtKhOcmALpH2n1+sZTBj6Zil
DyEQqle5Sm9xy+DSfn1uO7tA+PHqdc0yqwwOUtlzcs8HAik5svXaH2mc0fkU
tugcCNe2Sw54zkhje9mae6lnIOh4KAs7f5FGJX3HUP/AQMjvP+BhWiyNqgaf
DgeVBUJ8/R01OStpND5hHJkhFgQNUUY7Us2kMTkRzo+RgmDGnseAeEwa2Tj8
+ndRguDESpS1qIE0+k9l8S9oBgH/tvtBXBrSuHnvuH/PoSAIeFD7bWqdjMnR
1nGWt4LAI2glC/PI+LSo7eTVqSCon5Z1tcwio7VpIs+r+SCQsDXQnkwlI15u
eKyyFgQ1msFAjiFjpfrSOItAMPB3SXy5epOMt4ti6zXUg6FARkdc8yQZ77mY
LPm4BMNw6b+BycskJKpKGG6dDAZd6TDTLb9JeCOX43X/fDCE0YvEm6dI+HFa
QThpPRi2Ws1nzw2TcPGpE0GDEAIBf+7i8bckrCpSKhnaFgLyxhlLHDkkZBkR
KM/wCwHbXqab1zESWi5emK8jh0J64gkTZ2MSOn146mGxMRS+nnytYWNIQhOH
mZU5rVBwbsIJ/V0kTBxRi7EyCAWvokeXCBtJqKfyy/apSyiE3LnjXbxKRJFj
lZKNlaFQuVHzxuQjIurvow++cg6DP/15toO5RCzgEfu57hkG1BSFvR8yichw
6JA0vBUGTYJSf2oSiRjJXJGeiw2DzgVW//C7RAz+spHJWh8G462fAjRsiVhs
dHZ9UD4cSB60EFdeIh5O+0TcOh4OE5aXXKfZiXjQ0Dn64mI4oL7Nkf/WpfCP
GvFGBWcEXBDfwsuYk8KJRU6hCMUIKKvuCc7sk0J7WpjKRvsIOMa3NfhTqRTS
tUq5FD9GwO38gcCDtlI4+uxMgVJ3JJyKeXOhzUIKP9f/CmIdjwTlm88PmZ/4
q6/g7b2wHAltx8O5HIyk0PWyi3esYBSQFnQDb22Wwq85Mf3HtaOgzCiKUcYm
heYiwfW816NgdHA/XeGxJC4YaAasEaLhocwdP848SUyw58s/RY6Gi1Yvr41n
SuJXUYnSMqVo+NV2yLU0URIdDAhFKTujYfnFieMGdyVxos95YeFMNAhGOhAd
bCSRkqhsyfEkGnbsYTzJ5JbEQtcq0S/mMbDo05JLZ5NEi1ni5TdnY6CqmPe+
y5oETnExKl65xgBVOTJGe04CO36TbaZvx8ARQtK1un4J7Hyn1jj2JAbsRwv0
B8olsKVsSTGKNxYYsW1M+X8kMEH9ZNuBt7Hg4XIpRPacBJ6gs84ye2LBQo+g
J20rgT4OwS+vjsWC0g/zfMmTEkg1bSod3RAHdQZffAX3/c0nLEwGbY+D1elx
uVUxCfwxY2TxOSMOvE9wu35sEMc6fr+Hh+/Eg43yQ1kmiOMzu4iUhch4MFg9
2tVZKY793fs6n6fHg3B+5N72YnHs+fzN61J1PBSuSwg1porjTM7ZxZrFeBgv
3FhWekUcuw7lXPh5JQHOCRiuhSuJoxyU2+68mQifRCxKZeXEkTtGRKczIhGO
S11wLiKK489DW5UYmYmwXzG0vUNQHCl7dQZ3NSeCzK6udNElMZwd+XzjvWgS
fHZy1EtuE8OfbsMecyVJYF5993bOVTGkL1aSe1hT4E1d/LbtnmI496f/W69U
Chg25401uonhpuv/Wa9ppYBO5+sTo+fEkNi0pyvJNgUIY6IUtaNi+K/qwDXd
8hRoF82pK5ITw0kj+qaDnvfgkFsDa1WLKPZvV7Z4uZ4KhXWaHfkvRZEj798k
fqk0EJNKTEuoFcVOXyWzK1vSYLDBRderTBRL/bkw43wa+MkKeajeF8WC45eK
XRvToPyddXfiNVG06N7cNROTDkq6U0VXlEXRxrP/iZfifQiNsLrlQBHFgKUt
7A+078PMcN2RE9KiaPiUTe673n3A6LgRdRFR5GftXsq1uw+2P3aRh/6IYPfY
s6KVhPsQk05jnGSK4E8z8bfSQpnAwkE6o0UTQfmlTIEBgSxYCJlVLfITwbIq
5+VeuSyYFG6b33xdBH0/munNamfBF+nbUdoeIlg5u+XUhdNZULHt28ttViJI
TOXbef1+Fng5lart0fjbD3uI53dlw9DLI4uH3hNQUG9L4Fb/HPh8WKmxpZ2A
xhxXHW/F5UDn2z/Rh1sJSCPwLgwV5AD2FKsfrSVgquN4DxczB1JnJc6a5hOQ
NfxhW6HGAzBXHGo0v0nA/J9j1+8NPICmgBux55UIqB056cfnmAeD2WXkVVkC
ukb5G728kQdrDRPZCUQCThrezL0Xlwc7uM6VvRYk4PqN6P7CpjzIDT3A3L4k
jP9qHOtw1MgHRpyAJG+7MD57cOWC5lo+HMrNSCm9JoxT+8K3/Vf9EJyaPykc
8xLGAMfKa0ndD+H2GOHR6EVhZIRFLfXNP4QXarQqaQdhXAeTm/3aj2BT0b9f
GCbCqN9s8/VpwSPgfqEta0sRRpMJjwXm/ccQFRtoyJUghHuMlL1cCwsh91o+
Yz5UCMXbWl2d2guhxra1deSOEN49eMaCPlkI44p8JxrchXDf6/DnezcXgVFZ
hN0dIyG0KY6tYZQWwfL7eJ+VOUFkc+m5bHWuGJwkcvKmTgli9pud5lZ+JeC7
3DDed1gQyyt9SmaiSiC6b0SzXU8QHTIK4rOzS6A2V6Xssbog/gotsj3cWgLE
nY/QhU0QX6i41+WJl0K7ZWn3UKkArkdGuDSXloJuMvJ9IgigsuafilPrT+HS
l7pjE5wCqNbmbdMqUQa5ci8jWVf58bRpdeIZrTIQy20U1fzGj9ZR/HcGz5TB
r9JX5IBKfnTGeX2H2jIoePNeXcORH+2VBXNs6c+AxPL96O0yPlzN2kE8ofEc
ThqOh8cX8OHty58Pfzv0HIIYP94+TOfDRdMBjfuOz2Gef/IUM4gPP0wnvvC/
9xw6ibO2amf4MPOfM+Uz/C8gZOsft/ccfEiR9HV8O/8CVpwJYZssedGo1Vwy
d7QShE3qWBZNePEbZYr5laMKlLU9fZoNeFHze2SlnlIVmK102Dtr8eKvx56J
ruerID8ySjuHgxeFZeZFrvdWgfkLoY9yZTz4z763qmlfqqGQR1BBksCDFc2y
2WqLtdAwWZPwjZMHKRu89PeQAbq73PnKV7lxjFhp57MfgD29bc58jBvFpq+C
Mx3AVie8OQa4UWvuQ3ImLwK3Lb+7oAc3Jn77kEtPR3B4zPuC4zUXUr/u2C3y
sQ6SfqWorwAXXlAq1xWdqIP2beoZv8q4MO9ChMQWtnrYXXOU0ZPOhc2N337V
bK4HkfYw8xIvLhzzGHmoGVIP9VOC03YkLizzqP5+/cBLUNgqqlbmwol8EYpH
St42gNW17LQCe05cfF310ON7A0RUbSVknOLEJVKRiglbIywbmi8G7+NE6yVO
zn93NkKneXzTWQInus3fO6iS2QgBVyUd+So4sHCY2Trk2wRDFeRUB24O3F1y
8Y6NcQs4bHNjhP5hx74NnvDhnxYYLKy8XDbDjjN28f9dvfuXs62NOHvZsaV7
ZFoe/nJ44mRBCTsO79wkq6zbCgPnRfWnbdjx99e6TBHtV9DPw/fN/wkb3nuU
N3tX7w3Y02w68rPY/t4T4QKV599A31pB5btENqyilwZI0f7yrHGkYgAb2v8X
Szne+pd7GbrNp9kwZfPeR3kWbdBbwhoqyMKGdP8+frWr7dBjvbw5zYwVp86O
sre5dcDuq4smt41ZkbuWHK3v1wFJMfMujvtZMdZScKE1qgPMX89kq6qx4h+x
TYkS5R3QvveHZPkGVrTw/EzK3PAO6uW+rLcXb8D3Ee1fQ1LfQcFIzVsWoQ1Y
30yJ3DLYCdys1T+H2DcgVefRMcOFTnCWreRpXmbBG4FrGhf5u0DBstww/BsL
YvTHJJadXZDaUvicWMuCxsx0nR3hXRD1KCNDx50FH4ZemRze9x4mBln7WxLW
4dPu7a+ZxUwY7waJntvrQLzF/9/HV0wY67hpOuG6DsF15xZ+DzNhuHa+hqC3
Dh+z4juCiR/gc8p4qs3oGnSpK+cI0T5Ai1mnzc+da1B+cialwP4jZNVnfhDq
XoVyElmrSa0b7lfYCyq8XIUPobNRMcbdkF5MPrjtySrsVHoz5ufcDcnp8c+s
7qxC/NE3X55ndUOUb3BcpuoqxP56cO+J9Ge4peNpttV3BTh7tfJqJXrAKova
fpq8DKrK+iWblHpBtNfGrZdzGeRCSDmDhr3QLunD7TSzBCKWo9uqHHvBMLzA
wLN1CZq9WwNasntB6z+R56HXlkB8s57w6Y19wGE6nIFdi5DeYz9pqtUPpUuB
nmphCxDV8+y64uOvIHDyrdja6hzwh389coZ7COwWL2T8GJuD+a3ndy+Rh+Bh
Bota9/s5kO04cDh38xAcmtTWK3s8B5eeH/2+1XII7oTGubjazYFF/ZymbN4Q
/G60rv1QNQsT1m8SdhwZht7dwxeKfGdgs3ezXlnaCNgenvGp+zUFlc75rpU3
xsBX7AFjW+MUJK5+PzcVPwZJ/ZaJeclTcJnFdHp38Rh88Kl5EW4wBc8SnDkl
RsbgRFbQinXcJMy71HL3Hv8OB1dk78zsnICwUjH/ctVx2PLkaJii/zjcfaKk
z5z8AZyEB1l0gRE4lx4tH4RTkOEo4jcwPAx703e53e6bAt1yf+t91cNgeuKV
TMTqFLja2gj/dh0Gd16j0SvSv6D9gZCfU8sQMAVSvE9a/4L43b7WhncHIS5R
mFeY+QuMW9LlWWf6If+H+eXS99Nw12N2ZbGFCdyqpRIzc7MwJhVg1hTuoXem
pcaRqboE24c6Egy+MPU+Njla9BLWISzgCyWAbURPc7BrV1smK4p6T0sOz0zp
5RmJJnWd5kS6QWkRj9hvPWfL9UiaFC/G5XbMjogt6637e3i+4xBEd19org9Y
17teztrtYUD4+/dpKbw8zEqV4EtZ3OQtioXd/2x6wM1BtdW0FN4/Jo66YXMB
y0lc1PzUdag3lEKTx880vaR5qccbjOS8MkhoxH5W3vUDP3WP2dGqN7oymDJ8
9gLzvBC1cLNUjdcTOXTzU7rxlUCghmuoyjC0KGiqX+p64aIIdbaL561vgAKe
bXFjzy8Spd7eFpG5s04RHdyI9ZsExan6RUWvKNIbMbZzRtXRQoKapsQs+nFO
GYMvj1RoJUhSL94o3DWXoYJeam/cd89IUYvdLt+4t7wJg/P7Xq/vIFH35Pxp
vbRfDQ0oNfMFe0lU2vq78xIH1HA1+R7F3IBEZdSmrlUfVsPLoVbX8o+RqNX7
lg/yWqihlUenwkknEvW4BFHkgZsaqmxrup4VTaLqSiuE9SSpYSM8UTH6SaJ6
x3MOHZ1VQz/dMLOpaRJ1/zslgdlFNdQtcb2VvECiCmRe3pOypoaPs1S6JljJ
VH1u35wxHnWMo2f6JRDJVKffZXl0eXV0PBrPHD1Ipp7T/OmOx9RRusGbJcaE
TH3WaPDpwil1/LDXTH2vGZn6I8zjoJC1Oh7REroTdYZMJUZt0bJ3UkcdQrDG
ritk6vTxN2qrvur4M/iC5dB1MtVUdPfT7NvqmMt6MCDcn0w9GX5K7yhDHUlz
rJ8GQsjUa+4+DinR6vj+4gBrWBSZ2tzivaSfqI4RI6C5I4FM5W7kifueqo7G
9ulWX++RqbXuOjrRWeq44ePNuyGZZKoyc6xLN18d/wdusk/G
"]],
LineBox[CompressedData["
1:eJwVk/0/1AccwM9x0SHOcd/z/Uruug0RvawH9VLfT6cnocUU1TBMNk9repCK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"]]},
Annotation[#, "Charting`Private`Tag$61602#1"]& ]}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-6.720162227384253, -4.851467865055216},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImageSize->{384.90000000000003`, Automatic},
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-6.720162227384253, 4.938466921890166}, {-4.851467865055216,
0.012064355914590463`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.703782474656201,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.991464547107982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.396929655216146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.551080335043404,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.684611727667927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.802394763324311,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.003065458786462,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.090076835776092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.170119543449628,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.24422751560335,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.313220387090301,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.3777589082278725`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.995732273553991,
FormBox[
TagBox[
InterpretationBox["\"0.05\"", 0.05, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-0.6931471805599453,
FormBox[
TagBox[
InterpretationBox["\"0.50\"", 0.5, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, {
3.799266537137291*^9, 3.799266566547916*^9}, 3.799267214795848*^9, {
3.7992673562244177`*^9, 3.799267378909185*^9}, {3.799267486866403*^9,
3.799267529436865*^9}, 3.799267983310302*^9, 3.799268083810974*^9,
3.799268152298849*^9, 3.799268659972763*^9, {3.799275172550398*^9,
3.7992751917695503`*^9}, {3.799275462898712*^9, 3.799275514997849*^9}, {
3.799275557295232*^9, 3.799275571129184*^9}, 3.799275614254651*^9, {
3.7992760202373457`*^9, 3.799276034288312*^9}, {3.79927621051716*^9,
3.7992762785901623`*^9}, 3.79928076478865*^9, {3.799331218256298*^9,
3.799331230977622*^9}, 3.799331273088449*^9, 3.7993313686164637`*^9, {
3.799333771549879*^9, 3.799333791988686*^9}, {3.799333839586022*^9,
3.799333888501625*^9}, 3.799333918569846*^9, {3.799333987453171*^9,
3.799333993019472*^9}, 3.799334046684375*^9, 3.799334177270783*^9,
3.799334211449037*^9, 3.7993466292154913`*^9, 3.79941236801365*^9,
3.799412417370594*^9, {3.7994127567638083`*^9, 3.799412776835672*^9}, {
3.801837833241317*^9, 3.801837845708456*^9}},
CellLabel->"Out[45]=",ExpressionUUID->"e2fac04f-3d6f-429d-b48c-ad6fd8006e6d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"ListLogLogPlot", "[",
RowBox[{"\[ScriptCapitalY]3D2", ",",
RowBox[{"Joined", "\[Rule]", "True"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]], "Input",
CellLabel->
"In[886]:=",ExpressionUUID->"2318596e-79a3-4757-92db-6dbc40672c71"],
Cell[BoxData[
GraphicsBox[{{}, {{{}, {},
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6],
LineBox[CompressedData["
1:eJw1lQlQU1cUhsMimAKVsCQhbAl7tQouRdzIlaXWWlGJFC1TAZGKAgJqB1xa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"]]}},
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[
1.6]}, {
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[
1.6]}, {}}, {
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-12.48232977929498, -9.75732621531558},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-12.48232977929498,
11.512925464970229`}, {-9.75732621531558, -0.009536656097778169}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {6.907755278982137,
FormBox["1000", TraditionalForm], {0.01, 0.}}, {-13.815510557964274`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.605170185988091,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.210340371976184,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.815510557964274`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.9108207377686,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
13.997832114758229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.077874822431765`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.151982794585487`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.22097566607244,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.28551418721001,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.346138809026444`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
14.403297222866392`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-9.210340371976182,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.819778284410283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.41431317630212,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.126631103850338`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.903487552536127,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.721165995742174,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.567015315914915,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.433483923290392,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.315700887634009,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.111728083308073,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.824046010856292,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.418580902748128,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.264430222920869,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.1308988302963465`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.013115794639964,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{{3.799276028783091*^9, 3.7992760345259743`*^9}, {
3.799276217189198*^9, 3.7992762447074137`*^9}},
CellLabel->
"Out[886]=",ExpressionUUID->"f009646b-1bd8-4671-9fbd-0177f292755f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Series", "[",
RowBox[{"\[ScriptCapitalY]3D0", ",",
RowBox[{"{",
RowBox[{"Y", ",", "\[Infinity]", ",", "4"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.7992693099828463`*^9, 3.799269323028038*^9}},
CellLabel->
"In[820]:=",ExpressionUUID->"006bbc42-4350-4701-916b-12c46a414c41"],
Cell[BoxData[
InterpretationBox[
RowBox[{
FractionBox[
RowBox[{"3", " ",
RowBox[{"Gamma", "[",
FractionBox["7", "3"], "]"}]}],
RowBox[{"2", " ", "\[Pi]", " ",
SuperscriptBox["Y", "3"]}]], "-",
FractionBox[
RowBox[{"27", " ",
RowBox[{"Gamma", "[",
FractionBox["7", "3"], "]"}]}],
RowBox[{"2", " ", "\[Pi]", " ",
SuperscriptBox["Y", "4"]}]], "+",
FractionBox[
RowBox[{"70", " ",
RowBox[{"Gamma", "[",
RowBox[{"-",
FractionBox["4", "3"]}], "]"}], " ",
RowBox[{"Gamma", "[",
FractionBox["7", "3"], "]"}], " ",
SuperscriptBox[
RowBox[{"(",
FractionBox["1", "Y"], ")"}],
RowBox[{"13", "/", "3"}]]}],
RowBox[{"9", " ", "\[Pi]"}]], "+",
InterpretationBox[
SuperscriptBox[
RowBox[{"O", "[",
FractionBox["1", "Y"], "]"}], "5"],
SeriesData[$CellContext`Y,
DirectedInfinity[1], {}, 9, 15, 3],
Editable->False]}],
SeriesData[$CellContext`Y,
DirectedInfinity[1], {Rational[3, 2] Pi^(-1) Gamma[
Rational[7, 3]], 0, 0, Rational[-27, 2] Pi^(-1) Gamma[
Rational[7, 3]], Rational[70, 9] Pi^(-1) Gamma[
Rational[-4, 3]] Gamma[
Rational[7, 3]]}, 9, 15, 3],
Editable->False]], "Output",
CellChangeTimes->{{3.799269317809338*^9, 3.7992693233952913`*^9}},
CellLabel->
"Out[820]=",ExpressionUUID->"ce5323a2-df69-4a10-b0ff-e0cc96b8dd81"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"sol3D", "=",
RowBox[{"FindRoot", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalF]D", "[",
RowBox[{"3", ",", "A", ",", "B3D", ",",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ")"}], "-",
RowBox[{"b", "[", "3", "]"}]}], ",", "x", ",", "1", ",", "2"}],
"]"}], "\[Equal]", "\[ScriptCapitalY]03D"}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalF]Dinf", "[",
RowBox[{"3", ",", "A", ",", "B3D", ",",
RowBox[{"2", "+",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}],
")"}], "-",
RowBox[{"b", "[", "3", "]"}]}], ",", "x", ",", "1", ",", "2", ",",
RowBox[{"2", "-",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]}]}], "]"}],
"\[Equal]", "\[ScriptCapitalY]\[Infinity]3D"}]}],
"\[IndentingNewLine]", "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"A", ",", "0.873"}], " ", "}"}], ",",
RowBox[{"{",
RowBox[{"x", ",", "1"}], "}"}]}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input",
CellChangeTimes->CompressedData["
1:eJwdxVsoQ3EAB+DjzmrFWokkkkzkkZKdzazkMtcXD2NsVm7FQm4va1uihCYi
ZcciNiwKw3JLbXtRy3ghl6aQxgOKxDi//8PXl6xsr1IHUxSVyMIpl74jeZk/
/7K+6wRH7ohduM1gJ1cfKTzY6VWRdaOiW7xeLHwlG/UBPHfFC6pl395L5OMR
nioOLyaVJ2H+4Ts5XtopwJuuiCz8YbkW4YRWRoKlL7M1uFxkIgvcxmacKVX3
YmFAocVj9ikdln0apnFF9jI53Kux4YmcPrKTQ/vweePqPa5uGn7E9fujT7hD
4/rF4klbUB37qZ7JxeOOqgL87JcVYVMMpxRz5Np53FBpIP8c0xa8Mni9gpn8
UAe2GgMHmKa7vbif4l5g94L+BmcyMw/4j44NUbAPmvPCsDrnLhUv9ZjT8bdA
wlWyv6VRcdgaXbiGv363NvCQ5tmOB8xRu/j8rCRDxd7isZH/Ae2F6OU=
"],ExpressionUUID->"27eea9ee-2a5d-4f05-8734-d219fc426001"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"A", "\[Rule]", "121.42766812245273`"}], ",",
RowBox[{"x", "\[Rule]",
RowBox[{"-", "0.5137709909820795`"}]}]}], "}"}]], "Output",
CellChangeTimes->{{3.7991808216993637`*^9, 3.799180862108307*^9},
3.799180931732389*^9, {3.799181152977585*^9, 3.799181170650926*^9}, {
3.79918120951182*^9, 3.799181235476692*^9}, 3.799181310544929*^9,
3.799181426296399*^9, 3.7991817476456003`*^9, 3.7991818351033792`*^9,
3.7991818844933453`*^9, {3.799181982574071*^9, 3.7991820058082457`*^9},
3.799182112820698*^9, {3.7991822055781727`*^9, 3.799182269579906*^9}, {
3.799182318744883*^9, 3.7991823466453733`*^9}, 3.799182492439032*^9,
3.799182675941188*^9, {3.799183141231515*^9, 3.799183167976919*^9},
3.799183296468463*^9, {3.7991838386913853`*^9, 3.799183900350835*^9}, {
3.799183962976*^9, 3.799183974335788*^9}, 3.799184129380135*^9,
3.799184197922843*^9, 3.7991843375981607`*^9, 3.799184615949195*^9,
3.799184690319317*^9, {3.799184725675857*^9, 3.7991847304805593`*^9},
3.799184776060902*^9, 3.799184906760455*^9, 3.799185089157001*^9,
3.799185272860224*^9, 3.799185673940814*^9, 3.799185777966242*^9, {
3.799191736845262*^9, 3.799191754834922*^9}, {3.799192951977117*^9,
3.7991929813185577`*^9}, 3.799193035541163*^9, 3.799193361859312*^9},
CellLabel->
"Out[597]=",ExpressionUUID->"4c1c7f2e-bd98-496f-9c19-5c2f5984d5e3"]
}, Open ]],
Cell[BoxData[
RowBox[{"\[Alpha]", "\[Equal]",
RowBox[{
RowBox[{"-", "2"}], "+", "b", "-", "x"}]}]], "Input",
CellChangeTimes->{{3.79919261886537*^9, 3.7991926382454243`*^9}, {
3.7991927560075903`*^9,
3.7991927764640102`*^9}},ExpressionUUID->"02602239-d318-4b4c-bca2-\
75a6959e28e9"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"-", "2"}], "+",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}], ")"}],
"+",
RowBox[{"b", "[", "3", "]"}]}]], "Input",
CellChangeTimes->{
3.7991922434389668`*^9, {3.799192642614909*^9, 3.799192646773348*^9}, {
3.799192717743801*^9, 3.799192721214778*^9}, {3.799192819625495*^9,
3.79919282456857*^9}},
CellLabel->
"In[570]:=",ExpressionUUID->"74557ec2-7320-4358-b59b-b60f052605f6"],
Cell[BoxData[
RowBox[{"-", "5.124554116032709`"}]], "Output",
CellChangeTimes->{
3.799192193110507*^9, 3.799192243688374*^9, {3.799192643503888*^9,
3.7991926469269857`*^9}, 3.799192721385689*^9, 3.7991928262199383`*^9},
CellLabel->
"Out[570]=",ExpressionUUID->"5a4cb81a-c140-4840-ab25-fcd2c3822afe"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"2", "-",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}], ")"}],
"-",
RowBox[{"b", "[", "3", "]"}]}]], "Input",
CellLabel->
"In[574]:=",ExpressionUUID->"f8217cbb-10df-45d3-9a07-59dd1f45b1fb"],
Cell[BoxData["5.124554116032709`"], "Output",
CellChangeTimes->{3.799192873953746*^9},
CellLabel->
"Out[574]=",ExpressionUUID->"5d02ac43-daee-40d0-9a12-41e167c67112"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"f3D", "=", "\[IndentingNewLine]",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"10", "^", "X"}], ",",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalF]Real", "[",
RowBox[{"3", ",", "A", ",", "B3D", ",",
RowBox[{"2", "+",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}],
")"}], "-",
RowBox[{"b", "[", "3", "]"}]}], ",", "x", ",", "1", ",", "2"}],
"]"}], "[",
RowBox[{"10", "^", "X"}], "]"}], "/.", "sol3D"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"X", ",",
RowBox[{"-", "3"}], ",", "10", ",", "0.1"}], "}"}]}], "]"}]}],
";"}]], "Input",
CellChangeTimes->{{3.799186041403411*^9, 3.799186126628837*^9}, {
3.799186190751062*^9, 3.79918623090308*^9}, {3.7991863585782833`*^9,
3.799186382337936*^9}, {3.79918641243556*^9, 3.7991864749397583`*^9}, {
3.799186578142921*^9, 3.7991866089031343`*^9}, {3.799186657440488*^9,
3.799186750385108*^9}, {3.799186798498782*^9, 3.799186810058077*^9}, {
3.799189470805127*^9, 3.7991895021757317`*^9}, {3.799189574166396*^9,
3.799189604302071*^9}, 3.7991896483998623`*^9, {3.7991897250892553`*^9,
3.7991898033621197`*^9}, {3.79918984022735*^9, 3.7991899595243196`*^9}, {
3.799190011846211*^9, 3.7991900251654673`*^9}, {3.7991900669279337`*^9,
3.7991900679020853`*^9}, {3.799190110126849*^9, 3.799190167824006*^9}, {
3.799190242035375*^9, 3.799190311914507*^9}, {3.7991903524280663`*^9,
3.799190394541931*^9}, {3.7991912080761347`*^9, 3.799191221947803*^9}, {
3.799191585747162*^9, 3.799191631202334*^9}, {3.79919176253403*^9,
3.799191772957157*^9}, {3.79919212479*^9, 3.799192182516811*^9}, {
3.799192238199195*^9, 3.7991922918231993`*^9}, 3.799192475523487*^9, {
3.799192649230721*^9, 3.799192713830935*^9}, {3.799192781304996*^9,
3.7991928072741413`*^9}, {3.7991928479623404`*^9, 3.799192861092866*^9}, {
3.799192917340831*^9, 3.799192917586598*^9}, {3.799193011510306*^9,
3.799193042509095*^9}},
CellLabel->
"In[598]:=",ExpressionUUID->"4487704b-a752-4a59-8e06-93cfdcf2efa9"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "slwcon",
"\"Numerical integration converging too slowly; suspect one of the \
following: singularity, value of the integration is 0, highly oscillatory \
integrand, or WorkingPrecision too small.\"", 2, 598, 181,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.7991928532905188`*^9, 3.799192861525301*^9},
3.799192918704892*^9, {3.7991930171484947`*^9, 3.799193044101475*^9},
3.799193367307992*^9},
CellLabel->
"During evaluation of \
In[598]:=",ExpressionUUID->"af143904-6bad-49cc-81b2-d5813c06694c"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "slwcon",
"\"Numerical integration converging too slowly; suspect one of the \
following: singularity, value of the integration is 0, highly oscillatory \
integrand, or WorkingPrecision too small.\"", 2, 598, 182,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.7991928532905188`*^9, 3.799192861525301*^9},
3.799192918704892*^9, {3.7991930171484947`*^9, 3.799193044101475*^9},
3.799193367322604*^9},
CellLabel->
"During evaluation of \
In[598]:=",ExpressionUUID->"bda19aa9-38d2-4d49-b9ef-45065324db9e"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]], "Input",
CellChangeTimes->{{3.79927184913561*^9, 3.799271857942545*^9}},
CellLabel->
"In[827]:=",ExpressionUUID->"4fc284a7-247e-45dd-9def-6554eb5075ad"],
Cell[BoxData[
FractionBox["16", "15"]], "Output",
CellChangeTimes->{
3.799270494203684*^9, {3.799271849469396*^9, 3.799271858285451*^9}},
CellLabel->
"Out[827]=",ExpressionUUID->"9f08c712-4807-4c97-a78d-e18a03a1e257"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListLogLogPlot", "[",
RowBox[{
RowBox[{"data3D", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]3D"}], " ", "\[Delta]3D"}]]}], ",",
RowBox[{
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]3D"],
RowBox[{"#T", "/",
SuperscriptBox["#L", "#D"]}]}]}], " ", "}"}], "&"}]}], "]"}], ",",
RowBox[{"PlotRange", "\[Rule]",
RowBox[{"{",
RowBox[{"0.005", ",", "2"}], "}"}]}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"LogLogPlot", "[",
RowBox[{
RowBox[{"{",
RowBox[{"\[ScriptCapitalY]03D", ",",
RowBox[{"\[ScriptCapitalY]\[Infinity]3D", " ",
SuperscriptBox["X",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-",
"2"}]]}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"ListLogLogPlot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",", "#2"}], "}"}], "&"}], "@@@", "f3D"}], ",",
RowBox[{"Joined", "\[Rule]", "True"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.7991535473962*^9, 3.799153571156912*^9}, {
3.799153605781364*^9, 3.799153627221924*^9}, {3.799153677687544*^9,
3.7991537255436487`*^9}, {3.799154305347486*^9, 3.79915431633066*^9}, {
3.799154594383874*^9, 3.79915459509507*^9}, {3.799157170665045*^9,
3.7991573112669287`*^9}, {3.7991574824721327`*^9,
3.7991574832935534`*^9}, {3.799157571048935*^9, 3.799157637088265*^9}, {
3.7991577429476*^9, 3.7991577430392933`*^9}, {3.799157917022194*^9,
3.7991579325810432`*^9}, {3.799160041210148*^9, 3.799160049649089*^9},
3.7991602283348923`*^9, {3.799162574233603*^9, 3.799162595088484*^9}, {
3.799162630122691*^9, 3.799162633665331*^9}, {3.799175779006465*^9,
3.799175780288958*^9}, {3.799186144110606*^9, 3.79918614907749*^9}, {
3.799186206375761*^9, 3.799186223511066*^9}, {3.7991862601536694`*^9,
3.799186318640732*^9}, 3.799186367170905*^9, {3.7991864225880613`*^9,
3.799186428524028*^9}, {3.799187286460462*^9, 3.799187373699503*^9}, {
3.79918740822008*^9, 3.799187429716454*^9}, {3.7991876196164217`*^9,
3.799187625327568*^9}, {3.799188939837101*^9, 3.799188945619155*^9},
3.7991917850870867`*^9},
CellLabel->
"In[1615]:=",ExpressionUUID->"2144109e-e31f-4853-8a4e-968e7e738bbc"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668],
AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJw9lFk81HsfgMesxtjGVokURSqE0Kv4/3PSgmytiGOLhOxUsqZdikQmSaKF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"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.009166666666666668], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.009166666666666668], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{}, {}}, {{}, {{{}, {},
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6],
LineBox[CompressedData["
1:eJwtlAlQFHcWxlERORxhkJmRe4YbhmEOro3uMo8ghRFxjXIlHgQQ1IiiwhaC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"]]}},
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6]}, {
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[
1.6]}, {}}, {
{GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-5.075689593679163, -5.298317366548036},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->
NCache[{{-5.075689593679163, 5.747684907538796}, {-5.298317366548036,
Log[2]}}, {{-5.075689593679163, 5.747684907538796}, {-5.298317366548036,
0.6931471805599453}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {0, 0}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.703782474656201,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.991464547107982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.396929655216146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.551080335043404,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.684611727667927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.802394763324311,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.006367567650246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.294049640102028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-5.298317366548036,
FormBox[
TagBox[
InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-2.995732273553991,
FormBox[
TagBox[
InterpretationBox["\"0.050\"", 0.05, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-0.6931471805599453,
FormBox[
TagBox[
InterpretationBox["\"0.500\"", 0.5, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.3978952727983707`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.4849066497880004`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.5649493574615367`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.6390573296152584`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.70805020110221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.772588722239781,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.799157646323372*^9, 3.7991577522687597`*^9, 3.7991578128339252`*^9,
3.799157941506836*^9, 3.799160220497615*^9, 3.799160268504189*^9,
3.799162548759418*^9, {3.799162586310547*^9, 3.7991626052365427`*^9},
3.799162643034289*^9, 3.79918592910867*^9, 3.799186149695986*^9, {
3.799186202286312*^9, 3.799186261754511*^9}, {3.799186311954441*^9,
3.799186319479136*^9}, {3.799186363015633*^9, 3.7991863849561033`*^9}, {
3.799186417621194*^9, 3.7991864443223667`*^9}, 3.799186478723639*^9, {
3.79918729710776*^9, 3.799187368919986*^9}, {3.799187409243988*^9,
3.799187430112955*^9}, {3.799187622617318*^9, 3.7991876257500057`*^9},
3.799188945954133*^9, 3.79918905978688*^9, {3.799191780638339*^9,
3.799191785560618*^9}, {3.7991930180501537`*^9, 3.7991930444573812`*^9},
3.7991933676952*^9, 3.799329529915854*^9, 3.79933126579221*^9},
CellLabel->
"Out[1615]=",ExpressionUUID->"e3c25879-f0a8-4cd6-b252-d92d1b076630"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
Cell["2D Ising", "Subsection",
CellChangeTimes->{{3.79917577064828*^9,
3.7991757723226423`*^9}},ExpressionUUID->"cdc09ea8-ade6-4896-b063-\
562be8bbbca8"],
Cell[BoxData[{
RowBox[{
RowBox[{"Tc2D", "=",
RowBox[{"2", "/",
RowBox[{"Log", "[",
RowBox[{"1", "+",
SqrtBox["2"]}], "]"}]}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Beta]2D", "=",
RowBox[{"1", "/", "8"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Delta]2D", "=", "15"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Nu]2D", "=", "1"}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[Gamma]2D", "=",
RowBox[{"7", "/", "4"}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalY]02D", "=",
RowBox[{
RowBox[{"-", "2"}], " ",
RowBox[{"G2C", "[", "2", "]"}]}]}], ";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalY]\[Infinity]2D", "=",
RowBox[{
RowBox[{"-",
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ", "2",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}], ";"}]}], "Input",\
CellChangeTimes->{{3.798453386068222*^9, 3.7984533946809397`*^9}, {
3.799175736848481*^9, 3.7991757372160263`*^9}, {3.7991758901863194`*^9,
3.799175904554615*^9}, {3.799277245296159*^9, 3.799277284576337*^9}},
CellLabel->"In[17]:=",ExpressionUUID->"3f50dd46-6eed-4256-a18b-bff8375d74be"],
Cell[BoxData[
RowBox[{
RowBox[{"data2D", "=",
RowBox[{"Dataset", "[",
RowBox[{
RowBox[{
RowBox[{"With", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"info", "=",
RowBox[{"ToExpression", "/@",
RowBox[{"Rest", "[",
RowBox[{"StringSplit", "[",
RowBox[{
RowBox[{"FileBaseName", "[", "#", "]"}], ",", "\"\<_\>\""}],
"]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"dat", "=",
RowBox[{"Import", "[", "#", "]"}]}]}], "\[IndentingNewLine]",
"}"}], ",", "\[IndentingNewLine]",
RowBox[{"<|", "\[IndentingNewLine]",
RowBox[{
RowBox[{"\"\<D\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<L\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "2", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<T\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "3", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<H\>\"", "\[Rule]",
RowBox[{"info", "[",
RowBox[{"[", "4", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Me\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Mm\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "2", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Mt\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "3", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<Ma\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "4", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]e\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "5", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]m\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "6", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]t\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "7", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]a\>\"", "\[Rule]",
RowBox[{"Around", "@@",
RowBox[{"dat", "[",
RowBox[{"[", "8", "]"}], "]"}]}]}]}], "\[IndentingNewLine]",
"|>"}]}], "]"}], "&"}], "/@",
RowBox[{
"FileNames", "[",
"\"\<~/doc/research/metastable_scaling/data/2d-ising-new/metastable_2_*_\
m.dat.processed\>\"", "]"}]}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.797705522745611*^9, 3.7977056916202297`*^9}, {
3.7977057959926157`*^9, 3.7977058113183813`*^9}, {3.797706405946889*^9,
3.797706407954214*^9}, {3.7983210304741507`*^9, 3.79832106378587*^9}, {
3.798364439869031*^9, 3.7983644506237392`*^9}, {3.798365938561242*^9,
3.7983659437041597`*^9}, {3.798366645212805*^9, 3.7983666891482162`*^9}, {
3.798736002164524*^9, 3.798736005852274*^9}, {3.799150074106604*^9,
3.799150074698133*^9}, {3.7991526508389063`*^9, 3.7991527437272863`*^9}},
CellLabel->"In[29]:=",ExpressionUUID->"3016f397-5fed-4501-9480-60f289d4409c"],
Cell[BoxData[
RowBox[{
RowBox[{"data2D2", "=",
RowBox[{"Dataset", "[",
RowBox[{"With", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{"dat", "=",
RowBox[{
"Import", "[",
"\"\<~/doc/research/thesis/data/essential/data_square-4096.dat\>\"",
"]"}]}], "\[IndentingNewLine]", "}"}], ",", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"<|", "\[IndentingNewLine]",
RowBox[{
RowBox[{"\"\<D\>\"", "\[Rule]", "2"}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<L\>\"", "\[Rule]",
RowBox[{"#", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<T\>\"", "\[Rule]",
RowBox[{"#", "[",
RowBox[{"[", "2", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<H\>\"", "\[Rule]",
RowBox[{"#", "[",
RowBox[{"[", "3", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<M\>\"", "\[Rule]",
RowBox[{"#", "[",
RowBox[{"[", "8", "]"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\"\<\[Chi]\>\"", "\[Rule]",
RowBox[{"#", "[",
RowBox[{"[", "10", "]"}], "]"}]}]}], "\[IndentingNewLine]",
"|>"}], "&"}], "/@", "dat"}]}], "]"}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.797705522745611*^9, 3.7977056916202297`*^9}, {
3.7977057959926157`*^9, 3.7977058113183813`*^9}, {3.797706405946889*^9,
3.797706407954214*^9}, {3.7983210304741507`*^9, 3.79832106378587*^9}, {
3.798364439869031*^9, 3.7983644506237392`*^9}, {3.798365938561242*^9,
3.7983659437041597`*^9}, {3.798366645212805*^9, 3.7983666891482162`*^9}, {
3.798736002164524*^9, 3.798736005852274*^9}, {3.799150074106604*^9,
3.799150074698133*^9}, {3.7991526508389063`*^9, 3.7991527437272863`*^9}, {
3.799175990837474*^9, 3.799176020237219*^9}, {3.79917606884619*^9,
3.799176190800548*^9}, {3.799176299602786*^9, 3.799176311873583*^9}},
CellLabel->"In[30]:=",ExpressionUUID->"8e932e8b-6094-421f-be13-f54f0ea7fcd5"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]2D0", "=",
RowBox[{
FractionBox["2", "\[Pi]"],
RowBox[{"Integrate", "[",
RowBox[{
FractionBox[
RowBox[{
SuperscriptBox["X", "1"],
RowBox[{"Exp", "[",
RowBox[{
RowBox[{"-", "1"}], "/", "X"}], "]"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.799264639933505*^9, 3.799264669604143*^9},
3.799264722080316*^9, {3.799264797033545*^9, 3.799264836995894*^9}, {
3.7992649479102497`*^9, 3.799264951208439*^9}},
CellLabel->
"In[715]:=",ExpressionUUID->"7c7d52e8-9a9d-43ff-bbe2-4f27f6eeb21c"],
Cell[BoxData[
RowBox[{"-",
FractionBox[
RowBox[{"Y", "-",
SuperscriptBox["Y", "2"], "+",
RowBox[{
SuperscriptBox["\[ExponentialE]",
FractionBox["1", "Y"]], " ",
RowBox[{"ExpIntegralEi", "[",
RowBox[{"-",
FractionBox["1", "Y"]}], "]"}]}]}],
RowBox[{"\[Pi]", " ",
SuperscriptBox["Y", "3"]}]]}]], "Output",
CellChangeTimes->{{3.799264828470121*^9, 3.799264842078844*^9},
3.799264955478936*^9},
CellLabel->
"Out[715]=",ExpressionUUID->"e17c4ecd-af4c-4510-9e0f-3d8a67b46fca"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]2D01", "=",
RowBox[{
FractionBox["2", "\[Pi]"],
RowBox[{"Integrate", "[",
RowBox[{
FractionBox[
RowBox[{
SuperscriptBox["X",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]],
RowBox[{"Exp", "[",
RowBox[{
RowBox[{"-", "1"}], "/", "X"}], "]"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.7992773008220167`*^9, 3.799277314268919*^9}, {
3.7992773780826397`*^9, 3.799277383434202*^9}},
CellLabel->
"In[910]:=",ExpressionUUID->"1a5fa001-90f8-4da6-8fb2-8b6d7fe8e912"],
Cell[BoxData[
RowBox[{
FractionBox["1",
RowBox[{"225", " ", "\[Pi]", " ",
SuperscriptBox["Y", "5"]}]],
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"-", "15"}], " ", "Y", " ",
RowBox[{"(",
RowBox[{"15", "+",
RowBox[{"14", " ", "Y"}]}], ")"}]}], "+",
RowBox[{
SuperscriptBox["\[ExponentialE]",
FractionBox["1", "Y"]], " ",
RowBox[{"(",
RowBox[{"225", "+",
RowBox[{"2", " ", "Y", " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "15"}], "+",
RowBox[{"8", " ", "Y"}]}], ")"}]}]}], ")"}], " ",
RowBox[{"ExpIntegralE", "[",
RowBox[{
RowBox[{"-",
FractionBox["16", "15"]}], ",",
FractionBox["1", "Y"]}], "]"}]}]}], ")"}], " ",
RowBox[{"Gamma", "[",
RowBox[{"-",
FractionBox["16", "15"]}], "]"}]}]}]], "Output",
CellChangeTimes->{3.799277385403577*^9},
CellLabel->
"Out[910]=",ExpressionUUID->"9e4a322a-0ddf-4014-b126-533b97933a88"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"SeriesCoefficient", "[",
RowBox[{"\[ScriptCapitalY]2D01", ",",
RowBox[{"{",
RowBox[{"Y", ",", "\[Infinity]", ",",
RowBox[{"14", "/", "15"}]}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.799270263916595*^9, 3.799270270393526*^9},
3.7992773942674637`*^9, {3.799277436691949*^9, 3.79927744221903*^9}},
CellLabel->
"In[912]:=",ExpressionUUID->"62a40c9d-3e4b-46d9-bc10-e88f469ddd29"],
Cell[BoxData[
FractionBox[
RowBox[{"16", " ",
RowBox[{"Gamma", "[",
RowBox[{"-",
FractionBox["16", "15"]}], "]"}], " ",
RowBox[{"Gamma", "[",
FractionBox["31", "15"], "]"}]}],
RowBox[{"225", " ", "\[Pi]"}]]], "Output",
CellChangeTimes->{3.799270270633513*^9, 3.7992773948467903`*^9,
3.799277442811665*^9},
CellLabel->
"Out[912]=",ExpressionUUID->"6a3e1571-605d-43ce-a5a8-e9a2f95473f9"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"solc2D", "=",
RowBox[{"Solve", "[", " ",
RowBox[{
RowBox[{
SuperscriptBox["B2D", "2"], " ", "c2D", " ",
RowBox[{"SeriesCoefficient", "[",
RowBox[{"\[ScriptCapitalY]2D01", ",",
RowBox[{"{",
RowBox[{"Y", ",", "\[Infinity]", ",",
RowBox[{"14", "/", "15"}]}], "}"}]}], "]"}]}], "\[Equal]",
"\[ScriptCapitalY]\[Infinity]2D"}], "]"}]}]], "Input",
CellChangeTimes->{{3.7992774013816977`*^9, 3.799277481315751*^9},
3.799277818979064*^9},
CellLabel->
"In[926]:=",ExpressionUUID->"9fa92faa-52c1-45d2-8e27-518aaa573a8c"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"{",
RowBox[{"c2D", "\[Rule]", "3.2908346685658887`"}], "}"}], "}"}]], "Output",\
CellChangeTimes->{3.79927748157997*^9, 3.79927770353749*^9,
3.799277820405592*^9},
CellLabel->
"Out[926]=",ExpressionUUID->"b0161c8d-785f-4827-8130-565dc8db072c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"solA2D", "=",
RowBox[{"NSolve", "[",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"A2D", " ",
SuperscriptBox["B2D", "2"],
RowBox[{"Limit", "[",
RowBox[{"\[ScriptCapitalY]2D0", ",",
RowBox[{"Y", "\[Rule]", "0"}]}], "]"}]}], "\[Equal]",
"\[ScriptCapitalY]02D"}], "}"}], "/.",
RowBox[{"solc2D", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",",
RowBox[{"{", "A2D", "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799264847521249*^9, 3.7992648838348923`*^9}, {
3.7992649382358303`*^9, 3.799264994716874*^9}, {3.799277513717504*^9,
3.799277559181275*^9}, {3.799277604742765*^9, 3.799277629398514*^9}, {
3.7992777138489017`*^9, 3.799277761493086*^9}, {3.799277826738718*^9,
3.799277837466936*^9}, 3.799282819009699*^9},
CellLabel->
"In[1057]:=",ExpressionUUID->"8160d41e-e2fe-4501-a0cc-4bee02a6013e"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"{",
RowBox[{"A2D", "\[Rule]", "0.6395952016283307`"}], "}"}], "}"}]], "Output",\
CellChangeTimes->{
3.799277839280876*^9, {3.799282792148753*^9, 3.799282819910035*^9}},
CellLabel->
"Out[1057]=",ExpressionUUID->"13cd32c8-68c6-45b7-bc63-b9747c47c3ee"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalM]0", "//", "N"}]], "Input",
CellChangeTimes->{{3.799362618041003*^9, 3.799362623082127*^9}},
CellLabel->
"In[1880]:=",ExpressionUUID->"38780c62-92d3-4f84-a60b-cebcdc63edca"],
Cell[BoxData["1.222409953716735`"], "Output",
CellChangeTimes->{{3.799362619789155*^9, 3.79936262331104*^9}},
CellLabel->
"Out[1880]=",ExpressionUUID->"fe929862-edf7-4527-b33b-7be519249cca"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"B2D", "=",
RowBox[{
RowBox[{"B", "[",
RowBox[{"\[ScriptCapitalM]0", ",",
RowBox[{"4", "/", "Tc2D"}]}], "]"}], "[", "2", "]"}]}]], "Input",
CellChangeTimes->{{3.799276558016711*^9, 3.799276559639844*^9}},
CellLabel->
"In[892]:=",ExpressionUUID->"a7a65a08-ed8f-4d4c-aa84-764c1a0c8397"],
Cell[BoxData[
FractionBox[
SuperscriptBox[
RowBox[{"ArcSinh", "[", "1", "]"}],
RowBox[{"1", "/", "8"}]],
RowBox[{
SuperscriptBox["2",
RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ",
SuperscriptBox[
RowBox[{"Log", "[",
RowBox[{"1", "+",
SqrtBox["2"]}], "]"}], "2"]}]]], "Output",
CellChangeTimes->{3.799276560032548*^9},
CellLabel->
"Out[892]=",ExpressionUUID->"3c5c8bff-600d-4f06-b9e0-1f7429d3853c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]2D1", "=",
RowBox[{
RowBox[{
RowBox[{
RowBox[{
RowBox[{"A2D", " ",
SuperscriptBox["B2D", "2"], "\[ScriptCapitalY]2D0"}], "/.",
RowBox[{"solA2D", "[",
RowBox[{"[", "1", "]"}], "]"}]}], "/.",
RowBox[{"Y", "\[Rule]",
RowBox[{"B2D", " ", "x"}]}]}], "/.",
RowBox[{"B2D", "\[Rule]",
RowBox[{
RowBox[{"B", "[",
RowBox[{"\[ScriptCapitalM]0", ",",
RowBox[{"4", "/", "Tc2D"}]}], "]"}], "[", "2", "]"}]}]}], "/.",
RowBox[{"\[ScriptCapitalY]02D", "->",
RowBox[{
RowBox[{"-", "2"}], " ",
RowBox[{"G2C", "[", "2", "]"}]}]}]}]}]], "Input",
CellChangeTimes->{{3.7992650087143393`*^9, 3.799265151873849*^9}, {
3.7992652817721357`*^9, 3.79926529785892*^9}},
CellLabel->
"In[1058]:=",ExpressionUUID->"34573480-ca9c-4dd3-9863-c874ae134baa"],
Cell[BoxData[
RowBox[{"-",
RowBox[{
FractionBox["1",
SuperscriptBox["x", "3"]],
RowBox[{"0.8129023478488784`", " ",
RowBox[{"(",
RowBox[{
RowBox[{
SuperscriptBox["\[ExponentialE]",
FractionBox[
RowBox[{
SuperscriptBox["2",
RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ",
SuperscriptBox[
RowBox[{"Log", "[",
RowBox[{"1", "+",
SqrtBox["2"]}], "]"}], "2"]}],
RowBox[{"x", " ",
SuperscriptBox[
RowBox[{"ArcSinh", "[", "1", "]"}],
RowBox[{"1", "/", "8"}]]}]]], " ",
RowBox[{"ExpIntegralEi", "[",
RowBox[{"-",
FractionBox[
RowBox[{
SuperscriptBox["2",
RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ",
SuperscriptBox[
RowBox[{"Log", "[",
RowBox[{"1", "+",
SqrtBox["2"]}], "]"}], "2"]}],
RowBox[{"x", " ",
SuperscriptBox[
RowBox[{"ArcSinh", "[", "1", "]"}],
RowBox[{"1", "/", "8"}]]}]]}], "]"}]}], "-",
FractionBox[
RowBox[{
SuperscriptBox["x", "2"], " ",
SuperscriptBox[
RowBox[{"ArcSinh", "[", "1", "]"}],
RowBox[{"1", "/", "4"}]]}],
RowBox[{"2", " ",
SuperscriptBox["2",
RowBox[{"3", "/", "8"}]], " ",
SuperscriptBox["\[Pi]", "2"], " ",
SuperscriptBox[
RowBox[{"Log", "[",
RowBox[{"1", "+",
SqrtBox["2"]}], "]"}], "4"]}]], "+",
FractionBox[
RowBox[{"x", " ",
SuperscriptBox[
RowBox[{"ArcSinh", "[", "1", "]"}],
RowBox[{"1", "/", "8"}]]}],
RowBox[{
SuperscriptBox["2",
RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ",
SuperscriptBox[
RowBox[{"Log", "[",
RowBox[{"1", "+",
SqrtBox["2"]}], "]"}], "2"]}]]}], ")"}]}]}]}]], "Output",
CellChangeTimes->{
3.79926504690516*^9, 3.79926509964904*^9, {3.799265131204915*^9,
3.799265152115966*^9}, {3.799265282662683*^9, 3.7992652981517677`*^9},
3.799282824396039*^9},
CellLabel->
"Out[1058]=",ExpressionUUID->"c744e84f-18d9-4a00-8e63-7ff209f5284d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"G2C", "[", "5", "]"}]], "Input",
CellChangeTimes->{{3.799324318862706*^9, 3.7993243407857313`*^9}},
CellLabel->
"In[1399]:=",ExpressionUUID->"689d4aa1-ce6e-4221-b7e5-2fa4b7afc0e3"],
Cell[BoxData["0.0011705522757879685`"], "Output",
CellChangeTimes->{{3.799324321105425*^9, 3.7993243412183323`*^9}},
CellLabel->
"Out[1399]=",ExpressionUUID->"b0adfbb4-22ce-41de-aaf4-d65682dcedcb"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Export", "[",
RowBox[{
"\"\<~/doc/research/thesis/data/essential/data_coefficients_0.dat\>\"", ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"#", "-", "1"}], ",",
RowBox[{"Abs", "@",
RowBox[{"SeriesCoefficient", "[",
RowBox[{"\[ScriptCapitalY]2D1", ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",",
RowBox[{"#", "-", "1"}]}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"x", ">", "0"}], "}"}]}]}], "]"}]}], ",",
RowBox[{
RowBox[{"(",
RowBox[{"#",
RowBox[{"(",
RowBox[{"#", "+", "1"}], ")"}]}], ")"}],
RowBox[{"Abs", "[",
RowBox[{"G2C", "[",
RowBox[{"#", "+", "1"}], "]"}], "]"}]}]}], "}"}], "&"}], "/@",
RowBox[{"Range", "[", "13", "]"}]}]}], "\[IndentingNewLine]",
"]"}]], "Input",
CellChangeTimes->{{3.7993266303601913`*^9, 3.799326689316175*^9}},
CellLabel->
"In[1402]:=",ExpressionUUID->"4e78d576-9845-4b65-8e96-540e735f1446"],
Cell[BoxData["\<\"~/doc/research/thesis/data/essential/data_coefficients_0.\
dat\"\>"], "Output",
CellChangeTimes->{3.799326690985845*^9},
CellLabel->
"Out[1402]=",ExpressionUUID->"494153f6-bbd5-4a4f-a4c7-cc6d704e536b"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"co2D0", "=",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"#", "-", "1"}], ",",
RowBox[{"Abs", "@",
RowBox[{"SeriesCoefficient", "[",
RowBox[{"\[ScriptCapitalY]2D1", ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",",
RowBox[{"#", "-", "1"}]}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"x", ">", "0"}], "}"}]}]}], "]"}]}], ",",
RowBox[{
RowBox[{"(",
RowBox[{"#",
RowBox[{"(",
RowBox[{"#", "+", "1"}], ")"}]}], ")"}],
RowBox[{"Abs", "[",
RowBox[{"G2C", "[",
RowBox[{"#", "+", "1"}], "]"}], "]"}]}]}], "}"}], "&"}], "/@",
RowBox[{"Range", "[", "13", "]"}]}]}]], "Input",
CellChangeTimes->{{3.799327009780808*^9, 3.7993270422019367`*^9}},
CellLabel->
"In[1407]:=",ExpressionUUID->"d3096af1-2775-4657-9e81-324c4fa2e517"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", "0.02553990118070521`", ",", "0.0255399011807052`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"1", ",", "0.01918922404883576`", ",", "0.01763582632660643`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"2", ",", "0.019223583625275372`", ",", "0.01799885725335094`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"3", ",", "0.024072505906015028`", ",", "0.02341104551575937`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"4", ",", "0.03617341398301291`", ",", "0.0365081835685834`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"5", ",", "0.06341682353349776`", ",", "0.0660187027859558`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"6", ",", "0.12706075111145415`", ",", "0.13555048290924687`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"7", ",", "0.286398589051674`", ",", "0.3113918274300183`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"8", ",", "0.7172785117293166`", ",", "0.791370566223586`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"9", ",", "1.976047827614739`", ",", "2.203891994420519`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"10", ",", "5.938758216333461`", ",", "6.68659422019822`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"11", ",", "19.335523857669376`", ",", "21.912570849528134`"}],
"}"}], ",",
RowBox[{"{",
RowBox[{"12", ",", "67.79550887761825`", ",", "77.38912501987645`"}],
"}"}]}], "}"}]], "Output",
CellChangeTimes->{{3.799327015959854*^9, 3.799327043281296*^9}},
CellLabel->
"Out[1407]=",ExpressionUUID->"3d5942c6-68f9-4180-869d-70ecf4744cd8"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"ListLogPlot", "[", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"#", "-", "1"}], ",",
RowBox[{"Abs", "@",
RowBox[{"SeriesCoefficient", "[",
RowBox[{"\[ScriptCapitalY]2D1", ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",",
RowBox[{"#", "-", "1"}]}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"x", ">", "0"}], "}"}]}]}], "]"}]}]}], "}"}], "&"}], "/@",
RowBox[{"Range", "[", "13", "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"#", "-", "1"}], ",",
RowBox[{
RowBox[{"(",
RowBox[{"#",
RowBox[{"(",
RowBox[{"#", "+", "1"}], ")"}]}], ")"}],
RowBox[{"Abs", "[",
RowBox[{"G2C", "[",
RowBox[{"#", "+", "1"}], "]"}], "]"}]}]}], "}"}], "&"}], "/@",
RowBox[{"Range", "[", "13", "]"}]}]}], "}"}], "]"}]], "Input",
CellChangeTimes->{{3.7992828862286243`*^9, 3.799283206569066*^9}, {
3.7992832986907787`*^9, 3.799283299744712*^9}, {3.799283415923752*^9,
3.799283445531232*^9}, {3.799324176495975*^9, 3.7993241967765217`*^9}, {
3.79932425281042*^9, 3.79932425707273*^9}, {3.799325724539999*^9,
3.799325729738563*^9}},
CellLabel->
"In[1401]:=",ExpressionUUID->"1d942ea3-e06f-4802-a1f4-80cbfb2569f4"],
Cell[BoxData[
GraphicsBox[{{}, {{
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6],
PointBox[{{0., -3.6675132975823628`}, {1., -3.9534064049631814`}, {
2., -3.9516174398922184`}, {3., -3.7266849235070456`}, {
4., -3.319430850327918}, {5., -2.758026097321533}, {
6., -2.0630899516906247`}, {7., -1.2503707704033336`}, {
8., -0.3322910734582157}, {9., 0.681098803291229}, {10.,
1.7815000570303017`}, {11., 2.96194401844291}, {12.,
4.216495952009241}}]},
{RGBColor[0.880722, 0.611041, 0.142051], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6],
PointBox[{{0., -3.667513297582363}, {1., -4.037822859198439}, {
2., -4.017447009026236}, {3., -3.754547337401866}, {
4., -3.3102188361659555`}, {5., -2.7178172015541926`}, {
6., -1.9984111404525369`}, {7., -1.1667032645315856`}, {
8., -0.23398894275734655`}, {9., 0.7902248857435088}, {10.,
1.90010465934012}, {11., 3.08706048353491}, {12.,
4.348846267104956}}]}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]},
{RGBColor[0.880722, 0.611041, 0.142051], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]}, {}, {}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]},
{RGBColor[0.880722, 0.611041, 0.142051], PointSize[
0.012833333333333334`], AbsoluteThickness[1.6]}, {}, {}, {}}}, {{}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, -4.69412731292947},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImageSize->{653., Automatic},
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Identity[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Identity[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{0, 12.}, {-4.69412731292947, 4.348846267104956}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{Automatic,
Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.703782474656201,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.991464547107982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.396929655216146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.551080335043404,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.684611727667927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.802394763324311,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{{3.7993241891599627`*^9, 3.799324198403615*^9},
3.799324258453369*^9, {3.7993257258570213`*^9, 3.7993257305844307`*^9}},
CellLabel->
"Out[1401]=",ExpressionUUID->"8ba4adba-a9be-4b56-9b95-37d959fdc6c0"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Solve", "[",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]\[Infinity]2D", "\[Equal]",
RowBox[{
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}],
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}],
")"}],
RowBox[{"Gamma", "[",
RowBox[{"2", "-",
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], "]"}],
RowBox[{"Gamma", "[",
RowBox[{
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}],
"]"}],
FractionBox["1", "\[Pi]"], "A2D", " ",
SuperscriptBox["c2D",
RowBox[{
RowBox[{"-",
RowBox[{"b", "[", "2", "]"}]}], "+",
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]],
SuperscriptBox[
RowBox[{"(", "B2D", ")"}],
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]]}]}], "/.",
RowBox[{"A2D", "\[Rule]", "0.5"}]}], ",", "c2D"}], "]"}]], "Input",
CellChangeTimes->{{3.799278228712076*^9, 3.7992782408245583`*^9}},
CellLabel->
"In[936]:=",ExpressionUUID->"5a73b7a0-3266-4057-91ba-556ec07c67a6"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"{",
RowBox[{"c2D", "\[Rule]", "7195.784392689719`"}], "}"}], "}"}]], "Output",
CellChangeTimes->{3.799278241142003*^9},
CellLabel->
"Out[936]=",ExpressionUUID->"c1e36ac2-9ed0-4061-8eff-483bd2738794"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"6",
RowBox[{"G2C", "[", "3", "]"}]}]], "Input",
CellLabel->
"In[970]:=",ExpressionUUID->"518ad87e-2135-4bdc-81e8-f64963b6cc8a"],
Cell[BoxData["0.01763582632660643`"], "Output",
CellChangeTimes->{3.799279154562954*^9},
CellLabel->
"Out[970]=",ExpressionUUID->"a31d08bd-9546-4d07-9e9c-39e4a31f17fa"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"2", "-",
FractionBox["2",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]}]], "Input",
CellLabel->
"In[1034]:=",ExpressionUUID->"7fa25fc6-5fd6-422a-8392-69fcf55fea7f"],
Cell[BoxData[
FractionBox["14", "15"]], "Output",
CellChangeTimes->{3.799281710069368*^9},
CellLabel->
"Out[1034]=",ExpressionUUID->"6af3b82a-1aa4-44e0-ba1a-dd75a2b5a6b8"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]], "Input",
CellChangeTimes->{{3.799281769082115*^9, 3.7992817717900877`*^9}},
CellLabel->
"In[1038]:=",ExpressionUUID->"d1054e1d-9bd0-4e36-8d5b-92a10b933d77"],
Cell[BoxData[
FractionBox["8", "15"]], "Output",
CellChangeTimes->{3.799281772474275*^9},
CellLabel->
"Out[1038]=",ExpressionUUID->"d6117ff3-1da2-4298-bd05-50d86ede4c8b"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Series", "[",
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+", "X"}], ")"}],
RowBox[{
FractionBox["1",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]], "-", "2"}]],
"\[ScriptCapitalY]2D0"}], "/.",
RowBox[{"Y", "->",
RowBox[{"X",
SuperscriptBox[
RowBox[{"(",
RowBox[{"1", "+", "X"}], ")"}],
RowBox[{
RowBox[{"1", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-",
"1"}]]}]}]}], ",",
RowBox[{"{",
RowBox[{"X", ",", "\[Infinity]", ",", "2"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.799281171615075*^9, 3.799281237486491*^9}, {
3.799281269016334*^9, 3.799281271881517*^9}, {3.7992815804764757`*^9,
3.799281784910275*^9}, {3.799281966361985*^9, 3.799281982043068*^9}, {
3.799282030339023*^9, 3.799282081427012*^9}},
CellLabel->
"In[1043]:=",ExpressionUUID->"7426b534-401e-4fa0-8061-9439eb1d91b5"],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"Floor", "[",
RowBox[{
FractionBox[
RowBox[{"Arg", "[", "X", "]"}],
RowBox[{"2", " ", "\[Pi]"}]], "-",
FractionBox[
RowBox[{"7", " ",
RowBox[{"Arg", "[",
RowBox[{"1", "+", "X"}], "]"}]}],
RowBox[{"30", " ", "\[Pi]"}]]}], "]"}], " ",
InterpretationBox[
SuperscriptBox[
RowBox[{"O", "[",
FractionBox["1", "X"], "]"}],
RowBox[{"46", "/", "15"}]],
SeriesData[$CellContext`X,
DirectedInfinity[1], {}, 46, 46, 15],
Editable->False]}], "+",
RowBox[{
RowBox[{"Floor", "[",
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"Arg", "[", "X", "]"}],
RowBox[{"2", " ", "\[Pi]"}]]}], "+",
FractionBox[
RowBox[{"7", " ",
RowBox[{"Arg", "[",
RowBox[{"1", "+", "X"}], "]"}]}],
RowBox[{"30", " ", "\[Pi]"}]]}], "]"}], " ",
InterpretationBox[
SuperscriptBox[
RowBox[{"O", "[",
FractionBox["1", "X"], "]"}],
RowBox[{"46", "/", "15"}]],
SeriesData[$CellContext`X,
DirectedInfinity[1], {}, 46, 46, 15],
Editable->False]}], "+",
RowBox[{"(",
InterpretationBox[
RowBox[{
FractionBox["1",
RowBox[{"\[Pi]", " ",
SuperscriptBox["X", "2"]}]], "-",
FractionBox[
SuperscriptBox[
RowBox[{"(",
FractionBox["1", "X"], ")"}],
RowBox[{"38", "/", "15"}]], "\[Pi]"], "+",
InterpretationBox[
SuperscriptBox[
RowBox[{"O", "[",
FractionBox["1", "X"], "]"}], "3"],
SeriesData[$CellContext`X,
DirectedInfinity[1], {}, 30, 45, 15],
Editable->False]}],
SeriesData[$CellContext`X,
DirectedInfinity[1], {Pi^(-1), 0, 0, 0, 0, 0, 0, 0, (-1)/Pi}, 30, 45, 15],
Editable->False], ")"}]}]], "Output",
CellChangeTimes->{{3.799281625864674*^9, 3.799281646437413*^9}, {
3.799281688942937*^9, 3.7992817587499104`*^9}, 3.799281795546767*^9,
3.799281988595744*^9, {3.799282039919632*^9, 3.799282082593014*^9}},
CellLabel->
"Out[1043]=",ExpressionUUID->"2b0dedfb-4a98-4ce1-8f61-5ef56663e799"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"solAc2D", "=",
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"\[ScriptCapitalY]02D", "\[Equal]",
RowBox[{"\[ScriptCapitalF]D", "[",
RowBox[{"2", ",", "A2D", ",", "B2D", ",", "c2D", ",",
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ",", "2", ",",
"m"}], "]"}]}], ",",
RowBox[{
RowBox[{
RowBox[{"-", "6"}],
RowBox[{"G2C", "[", "3", "]"}]}], "\[Equal]",
RowBox[{"\[ScriptCapitalF]D", "[",
RowBox[{"2", ",", "A2D", ",", "B2D", ",", "c2D", ",",
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ",", "3", ",",
"m"}], "]"}]}], ",", "\[IndentingNewLine]",
RowBox[{"\[ScriptCapitalY]\[Infinity]2D", "\[Equal]",
RowBox[{
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}],
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}],
")"}],
RowBox[{"Gamma", "[",
RowBox[{"2", "-",
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], "]"}],
RowBox[{"Gamma", "[",
RowBox[{
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}],
"]"}],
FractionBox["1", "\[Pi]"], "A2D", " ",
SuperscriptBox["c2D",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]],
SuperscriptBox[
RowBox[{"(", "B2D", ")"}],
RowBox[{
RowBox[{"(", "2", ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]]}]}]}], "}"}],
",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"A2D", ",", "1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"c2D", ",", "1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"m", ",", "2"}], "}"}]}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"MaxIterations", "\[Rule]", "100"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799274802860145*^9, 3.799274976045903*^9}, {
3.799275142888137*^9, 3.7992751433352423`*^9}, {3.7992760641418056`*^9,
3.79927618407165*^9}, {3.799277913779858*^9, 3.799278051829832*^9}, {
3.799278083903223*^9, 3.7992780840141993`*^9}, {3.799278207994228*^9,
3.799278208504446*^9}, {3.799278244394537*^9, 3.799278245617902*^9}, {
3.799278328259738*^9, 3.79927836656319*^9}, {3.799278477358386*^9,
3.799278492701331*^9}, {3.7992789264450083`*^9, 3.7992789787099743`*^9}, {
3.799279045833507*^9, 3.799279084199409*^9}, {3.799279125127692*^9,
3.79927916558488*^9}, {3.799279228276153*^9, 3.799279283010528*^9}, {
3.799279949509637*^9, 3.799279966004838*^9}, {3.799280013150028*^9,
3.799280051493668*^9}, {3.7992800908158817`*^9, 3.799280099328154*^9}, {
3.799280199897867*^9, 3.79928021935292*^9}, 3.799280276667534*^9, {
3.799280318804215*^9, 3.799280353708033*^9}, 3.7992804252868557`*^9, {
3.799280854111075*^9, 3.79928086610217*^9}, {3.799280928553402*^9,
3.799280931167304*^9}, {3.799282190398571*^9, 3.799282194621366*^9}, {
3.799282239166678*^9, 3.799282334170492*^9}, {3.799282399858523*^9,
3.799282402928865*^9}, {3.799282450683466*^9, 3.7992824509381523`*^9}, {
3.7992834974942617`*^9, 3.799283568623817*^9}},
CellLabel->
"In[1106]:=",ExpressionUUID->"3c6ba91d-5ea8-49a9-a282-1f4fe8806c1f"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "slwcon",
"\"Numerical integration converging too slowly; suspect one of the \
following: singularity, value of the integration is 0, highly oscillatory \
integrand, or WorkingPrecision too small.\"", 2, 1106, 764,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.799283500979722*^9, 3.799283570385796*^9}},
CellLabel->
"During evaluation of \
In[1106]:=",ExpressionUUID->"7eb26435-2b38-4b12-b4f5-bca15030e52a"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "slwcon",
"\"Numerical integration converging too slowly; suspect one of the \
following: singularity, value of the integration is 0, highly oscillatory \
integrand, or WorkingPrecision too small.\"", 2, 1106, 765,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.799283500979722*^9, 3.799283570429018*^9}},
CellLabel->
"During evaluation of \
In[1106]:=",ExpressionUUID->"04dae847-246f-4d3a-9785-2dcefdaceb3a"],
Cell[BoxData[
TemplateBox[{
"NIntegrate", "slwcon",
"\"Numerical integration converging too slowly; suspect one of the \
following: singularity, value of the integration is 0, highly oscillatory \
integrand, or WorkingPrecision too small.\"", 2, 1106, 766,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.799283500979722*^9, 3.799283570804606*^9}},
CellLabel->
"During evaluation of \
In[1106]:=",ExpressionUUID->"2daee2ea-701e-47f5-aa8b-8dbe7c385982"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"NIntegrate\\\", \
\\\"::\\\", \\\"slwcon\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1106, 767, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.799283500979722*^9, 3.799283570811721*^9}},
CellLabel->
"During evaluation of \
In[1106]:=",ExpressionUUID->"190652fb-dcfa-4580-a6ac-5929fb170980"],
Cell[BoxData["$Aborted"], "Output",
CellChangeTimes->{
3.799274890025193*^9, {3.799274963580843*^9, 3.799274976211142*^9},
3.7992751441449213`*^9, {3.799276171337564*^9, 3.7992761851337748`*^9}, {
3.7992779851704893`*^9, 3.799278040169549*^9}, 3.799278081134766*^9, {
3.799278199265608*^9, 3.7992782469195557`*^9}, 3.7992783448648357`*^9,
3.799278380382188*^9, {3.79927848422266*^9, 3.79927850484441*^9},
3.7992789797979803`*^9, {3.799279023212099*^9, 3.79927916596841*^9}, {
3.799279196781969*^9, 3.799279256264567*^9}, 3.799279608414812*^9, {
3.799279958467942*^9, 3.799279966446501*^9}, {3.7992800146538486`*^9,
3.799280051697668*^9}, {3.799280093825122*^9, 3.799280120405279*^9},
3.7992802203554897`*^9, 3.799280277955961*^9, {3.799280320404833*^9,
3.79928035496059*^9}, 3.799280686897894*^9, 3.7992808877895803`*^9,
3.799280926735589*^9, 3.7992811700656776`*^9, 3.799282202768196*^9,
3.799282295357848*^9, 3.799282327887816*^9, 3.799282379420959*^9,
3.799282446689116*^9, 3.799282764463019*^9, {3.799283507755858*^9,
3.79928357456075*^9}},
CellLabel->
"Out[1106]=",ExpressionUUID->"c76396f7-a60e-40ab-b8bb-e4e5c7660888"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]3D1", "=",
RowBox[{
RowBox[{"A3D", " ",
SuperscriptBox["B3D", "2"], "\[ScriptCapitalY]3D0"}], "/.",
RowBox[{"solA3D", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}]], "Input",
CellChangeTimes->{{3.7992650087143393`*^9, 3.799265151873849*^9}, {
3.7992652817721357`*^9, 3.79926529785892*^9}, {3.799265662338277*^9,
3.79926568854569*^9}, {3.7992665316270847`*^9, 3.79926653196107*^9}, {
3.799268639888319*^9, 3.799268640606805*^9}},
CellLabel->
"In[809]:=",ExpressionUUID->"6ad09553-4096-44f3-8878-5e1b2555e37a"],
Cell[BoxData[
FractionBox[
RowBox[{"0.007075071428571428`", " ",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"-", "3"}], " ", "Y", " ",
RowBox[{"(",
RowBox[{"3", "+",
RowBox[{"13", " ", "Y"}]}], ")"}]}], "+",
RowBox[{
SuperscriptBox["\[ExponentialE]",
FractionBox["1", "Y"]], " ",
RowBox[{"(",
RowBox[{"9", "+",
RowBox[{"10", " ", "Y", " ",
RowBox[{"(",
RowBox[{"6", "+",
RowBox[{"7", " ", "Y"}]}], ")"}]}]}], ")"}], " ",
RowBox[{"ExpIntegralE", "[",
RowBox[{
FractionBox["7", "3"], ",",
FractionBox["1", "Y"]}], "]"}]}]}], ")"}]}],
SuperscriptBox["Y", "5"]]], "Output",
CellChangeTimes->{
3.79926504690516*^9, 3.79926509964904*^9, {3.799265131204915*^9,
3.799265152115966*^9}, {3.799265282662683*^9, 3.7992652981517677`*^9}, {
3.799266525132991*^9, 3.799266532270993*^9}, 3.799267213034593*^9,
3.7992673781179037`*^9, 3.799267979288787*^9, 3.799268080790303*^9,
3.7992681511042356`*^9, 3.7992686416269484`*^9},
CellLabel->
"Out[809]=",ExpressionUUID->"10921878-5a5a-476d-9cbd-f74ffe76bf1a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"\[ScriptCapitalY]2D2", "=",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"10", "^", "x"}], ",",
RowBox[{
RowBox[{"\[ScriptCapitalF]Real", "[",
RowBox[{"2", ",",
RowBox[{"A2D", "/.", "solAc2D"}], ",", "B2D", ",", " ",
RowBox[{"c2D", "/.", "solAc2D"}], ",",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ",", "2", ",",
RowBox[{"m", "/.", "solAc2D"}]}], "]"}], "[",
RowBox[{"10", "^", "x"}], "]"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "5"}], ",", "5", ",", "0.1"}], "}"}]}], "]"}]}],
";"}]], "Input",
CellChangeTimes->{{3.799274993641975*^9, 3.799275045832779*^9}, {
3.799275080725634*^9, 3.799275150736534*^9}, {3.799275454333933*^9,
3.799275513000143*^9}, 3.79927556939865*^9, {3.799275612774645*^9,
3.7992756129261303`*^9}, {3.799276017389124*^9, 3.799276032635975*^9}, {
3.799276193047822*^9, 3.7992762363834248`*^9}, {3.799277088141556*^9,
3.799277112205737*^9}, {3.799279632195425*^9, 3.799279635826928*^9}},
CellLabel->
"In[1101]:=",ExpressionUUID->"d4f87218-54e0-4d31-b509-81565bccad31"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1\\\", \
SuperscriptBox[\\\"2.8545115529326126`\\\", \\\"347942.2150877314`\\\"]]\\) \
is too small to represent as a normalized machine number; precision may be \
lost.\"", 2, 1101, 742, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.79928220804105*^9, 3.799283533662002*^9},
CellLabel->
"During evaluation of \
In[1101]:=",ExpressionUUID->"6efb8af4-daa0-4ab6-9d57-3e4d5cc9c062"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1\\\", \
SuperscriptBox[\\\"2.8545115529326126`\\\", \\\"347942.2150877314`\\\"]]\\) \
is too small to represent as a normalized machine number; precision may be \
lost.\"", 2, 1101, 743, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.79928220804105*^9, 3.7992835336749973`*^9},
CellLabel->
"During evaluation of \
In[1101]:=",ExpressionUUID->"4284467a-dedf-4ce4-bb79-9253d21b10cb"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*FractionBox[\\\"1\\\", \
SuperscriptBox[\\\"2.8545115529326126`\\\", \\\"347942.2150877314`\\\"]]\\) \
is too small to represent as a normalized machine number; precision may be \
lost.\"", 2, 1101, 744, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.79928220804105*^9, 3.799283533681155*^9},
CellLabel->
"During evaluation of \
In[1101]:=",ExpressionUUID->"4630b694-2c1e-4a8c-8dab-02f89234bfc1"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1101, 745, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.79928220804105*^9, 3.799283533697935*^9},
CellLabel->
"During evaluation of \
In[1101]:=",ExpressionUUID->"2d3707d0-e9ee-4ee9-a34c-6f27a99f5851"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListLogLogPlot", "[",
RowBox[{"data2D2", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]2D"}], " ", "\[Delta]2D"}]]}], ",",
RowBox[{"#\[Chi]",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]2D"], "#T"}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"LogLogPlot", "[",
RowBox[{"\[ScriptCapitalY]2D1", ",",
RowBox[{"{",
RowBox[{"x", ",", "0.0001", ",", "1000"}], "}"}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, {
3.799278272634544*^9, 3.799278289289773*^9}, {3.799282861259457*^9,
3.7992828659783688`*^9}},
CellLabel->
"In[1102]:=",ExpressionUUID->"cbc25c50-284c-4414-a76e-6bac202a2b72"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1102, 746,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.79928353687708*^9},
CellLabel->
"During evaluation of \
In[1102]:=",ExpressionUUID->"19d00149-0c5a-419d-8994-16b8b6bdac6f"],
Cell[BoxData[
TemplateBox[{
"LogLogPlot", "precw",
"\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{SuperscriptBox[\\\"2\\\
\", RowBox[{\\\"11\\\", \\\"/\\\", \\\"16\\\"}]], \\\" \\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \
\\\"Charting`Private`pvar$14274997\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \
\\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"+\
\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"]}], \
SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \
RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"-\\\", \\\"0\\\"}], \
\\\",\\\", RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
\[RightSkeleton]\\\"}], \\\"-\\\", \\\"0\\\"}], \\\",\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \
RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"0.8129023478488784`\\\"}], \\\" \\\", \
RowBox[{\\\"Im\\\", \\\"[\\\", \
RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\
\"3\\\"}], \\\" \\\", \\\"Charting`Private`pvar$14274997\\\"}]], \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\
\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
\\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
\"-\\\", RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \
RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\
\"-\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision (\\!\\(\
\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1102, 747, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.7992835370017843`*^9},
CellLabel->
"During evaluation of \
In[1102]:=",ExpressionUUID->"fe5b2653-305d-493b-9071-dfe6c02cae4f"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1102, 748,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.799283537077935*^9},
CellLabel->
"During evaluation of \
In[1102]:=",ExpressionUUID->"84fb567a-d1da-4aca-a98b-df0dd92be423"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1102, 749,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.799283537130019*^9},
CellLabel->
"During evaluation of \
In[1102]:=",ExpressionUUID->"dbe0086c-7068-4d42-a52e-1862a7538583"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1102, 750, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.799283537179653*^9},
CellLabel->
"During evaluation of \
In[1102]:=",ExpressionUUID->"fe6031e7-bd8a-4fdb-b0d2-58dcce9f2337"],
Cell[BoxData[
TemplateBox[{
"LogLogPlot", "precw",
"\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{\\\"True\\\", \\\",\\\", \\\"True\\\", \\\",\\\", \
RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\
\\\", \\\"\[RightSkeleton]\\\"}], \
SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
\[RightSkeleton]\\\"}]]]}], \\\"\[LessEqual]\\\", \\\"0\\\"}], \\\",\\\", \
RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"0.8129023478488784`\\\"}], \\\" \\\", \
RowBox[{\\\"Re\\\", \\\"[\\\", \
RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\
\"3\\\"}], \\\" \\\", \\\"Charting`Private`pvar$14274997\\\"}]], \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\
\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
\\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
\"-\\\", RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \
RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\
\"\[LessEqual]\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than \
WorkingPrecision (\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1102, 751,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.799283537240632*^9},
CellLabel->
"During evaluation of \
In[1102]:=",ExpressionUUID->"7d90c214-2857-4c0b-8a5b-8ffbc832ca3e"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[1.6],
PointBox[CompressedData["
1:eJwVl3c8Vf8fx81r3XP3dW3KiqzKTJxDGmYioeErFRUqDaNFqShFkVEJGWWU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"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwV1Xk0FPoXAHCRPVuZfTEzoo0eWh5F1mpCWVosgzT1hDRe2SqltNgiHrIU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"]], LineBox[CompressedData["
1:eJwV1Hk0VP8bB/Bp7Mu9M2Pmm8yUYlSWUklpUXNDIkuRsiWVJBRS+CZ72cqe
lLJ8SaJEZCvLfYTQItmi0GKsLTSEUH6f3x/33PM6595zPp/neT+PwnF3c0cq
hULpRc//31/SVs2WvGRBayNXMdIeA4vKS0FZ3iwIz67YqncUg1c11zU3nWVB
avVUyX5k3YZ7w/WuLHD0Y+raIWu0vtw/dJQFklnGcd7IjGGmgqoRC7Yd5P3O
RW5mZtUULGcBl31TjnUMgz2uddSKRibkey7bOYWcX7O2JaeWCfGGmJjwcQxY
S26kJlUzYfE5m88M5C91zls8i5mQEuvwYi1ygDzNTeU/JgwFJXmcRC59a919
w4cJv6uEFT4gK20ZKzi/igm+nMHHrQ4YXI2x8j+uwAQDj+vtX5AF/Jq9+5cy
IZmMlphAhvjEATUZJjx0qX7EPIGB7detnP4/MrArcHTqIHJC2uUwsw4ZkBpS
vtCHTBFh26lfloFbH0sYlJMYTF+ZUCkIkIEX90+EspB/0F9PrbsgA/UpoywV
5J6lQXEb3GQgkM+IMEd+ojlYq2klAz+sBM+ykT1PFKluXyMDwQM1eRZOGPTX
7p3Z086AcGMX54ZTGLw3VKpvbGbAXnf7rI/IrW/+xBs2MSAnYgdlBhk+PFIz
qmbADO7IUXHGIGVisb1pDgM40rv4UcgW3P56Cz8GuDuPDNm4YPA85OK1Y0oM
aFPctEjmNKrvnWLOvDwDnK55rlFH/lv3/U6SHAOEL67034u8Wexo8UucAXb1
BbGXkLOv6nVs+k0HN08ImEYOS8RkJZvpIMEUPBo8g/qbnX6ryIcOudt72vrd
MTjR0KVo4kmHZglfhogHBkHDjAdDp+lQZKJycRVyuerliqXH6SB1IaPNGVm5
4FRPmDEdjr4zThcgi5dvkLdVoAP1qUKHtCcGcdfCdcWSaBDqn3HS8Tw6j09O
2NRVGkhNfZ+MRK6ybWoaCKaBod+uR/nIo1yp/XVnaDAV2pk/g7y7OOZw8G4a
UCcev43xwmC2/brX3CQOB74O9NV6o/Muzro3dgAHceGCXPMLGPjO1o32GeIw
kXhT3x85vm9gbTMPh8HSF7I5yNXZq4vz1HCQ8qJa/UWW03oAzkI4iDy+c+ih
L8q/ZVF3fxEGn9+UXP7HD4MtySDVxUDfXT5wjh6IgXtPjcl3UQz48Ykm+sjZ
y2tjqfPS0C653t0PmZVdz1w7KA0XcvmRI8jjRS84IU+lYTL22OqGIAxyX7Wr
rXGQBjznr0VcCAZsyohRULEUXFZsUrILw8BMdzT6eq4U5MVys1KQI8K+vrmf
JgULTUo+PchT0j8OdERIwaPtdXJ24ShfchO2qnbofxN1u+MRGFzZ+Me1XUQK
JnqEtf2vYDB3khGlbCkJ7MFKt+kYDOjGNZQZY0lo/6yzfUcsBqs2nPVq0JEE
jX2idpeQzedajpxUl4TA6rYMehwGObFxG7JEJKGo7NL2dfEon+W0d8uLJUDf
y1Xc/xraBxK4oixDAoC+cdjuJgZ1P6qSBkUlQNRIe2UBcnfbGanSeXGQi6qt
oyRjIJz2etJiWBzSAhlr7yLbakQ3JJDi4M9ULRDcQvmxlT6Du4lDvEh933+p
GBzPkywXeSkGv2qfrTO5g8HN8Vtqc6QYyLyKuvIYuVlTLX28WAyYKcUu7CwM
tlUZhX1IEwNW5IOqEWSZ5iiLQk8xcHHYCTHZGDwbw38eZovBxcfeLwS5GChu
ZKoWO4vCNqHqB6sLMbDyuZOae0QUfF+z5tORYyo2MtIPiELRcNTQEpSLWV2L
mcgdotByqilB+jGqv8X15/YMUVCTmzadK8YgxFvWQeqJCAhpFghPl6P98IST
clxcBOyFttecrkH30XQNu/pHGJwjq62mkb/kP/UoFggDszshNeTZ/+fberdo
rzD8fWeocbsWOfrGj9xCYSj+25vaXo9yeYy566eNMPgKnVrn/AKDjxJSg4EP
hWDp3vfj8u0YHLls05KTKQSWFt01gNz3N/fp2xtC8MvJ3cahA3nCIJYbIgQm
uz4M3O9E7g3b0nBICPZNbwrQ7cagt5B6FacIwasnCRdv92HwwXp2Xao5FdRX
B4l8H0H19Z4xDjKgArF1pjtlFPUjYcrZYScVVA/EeZl8Rfl4KbijokqF1PU6
IoXfUH+0v8qWLqKCU2dZSvAYqv/ynoXmR4vA4JnyEcNfaB4Gqt5QaIvA0Xfn
h38XoTmmVn7rF14EQgZdirpUHE7KP5VomKUAnVVmhKM5VbQs1Y0epEBeVL7e
PWEcUhrzy+SqKfBiPO5rvxgOcQ/S0zXOUKDv4OE3ETgO379QPzYmLZBjBsry
4UtxGO0mF38IWiBfpwR1hSzDYbjFz/S7ywIZHKZYFSiPA796qorBWyAl22Yk
/Ffg8P7WaIrN0F8yopzeFqqEQ6N5q803rb9k8+6j6m/X4JD5LKOT1j1Pir5r
vmK5E4f/nhzBFWvnyacHGXxftHfSHnH0NR/Ok7pduTHpBA7JaddLrILnSeW2
bz3fdNB5fSMTM1Tmye5u0+Abe3Dw1zhrvtF3jjz2r564uhkOVplE8yHOLBk7
3bnS2REHZq+Na6/oLNlEvdOWeRKHZlkv8ROC32RiUu3LXiccdKNzdc42/SYd
++zTLV1wUP9Xpuyqz2/y4On7Aht3tOdM+enQNkMG8ilExgUcin6Hn1WNmiaP
7tfeoRmLwxnNTLzQZ5rcfH+9TXIcDsrulQ+0HKbJC6eXDSzEo/vwxwf0tk2T
a/e5Gr5NxCHyjbWN/fAU+Wuw1DX0Fg5H76rpJupNkb2Go4s1s3HAzN6w/s5P
kvODI8zH1TgcnnFK/zo8SZrcFltPAA730ymq3e2TpF2MzpvmGhz2/NjAK86b
JBNyz90er8Mh+Gqis8vhSdIHQiL1X+Lwq966urNiguRLVhVpd+HQu43vVOAr
IBm24z+tJ3BY88VPkHJSQE61TV6T+4WDb+Q//lfMBWRH0LGe91M4yHbpJziq
Ckib6Y8njs/iYOaVW8l5/5M0XH/qXOgiGtQXuDEitv4kHQV6AUvpNLA1FHjV
jI+R5ioiIknqNPBl3Q3TrB8jA681mpWtp8HNj5Y37iWPkfio6ZP3GjTo9Koq
j9YZI9Wbt/et1qLB/syIOevEH+T6uLzsDzwa6M/JBwu0vpOrfhc53zejwfqH
RlHcwFEyZ/tpxx/eNBBl3M0MxQZIralNGocbaZDuIBPwmc8nHWjJVZ9e0GBL
aaD1jko+OXJI3dnpNQ1cbG3ov1z45PlwxsqLrTRovksLONHYT7bfCzeu7KHB
9W2+1rqXvpDMyRs7s3/SwKAxbQVV8JG8vV++KxanwyW3ibmZxg4yOEp4q/sO
OpRLv8395NFBTq8o9Wbz6PDjfr5l45IOsjHjrmwDQQerIefHN061k2z+sVAl
PTqsOfrJZbN4G6lC5y4f30uHTrPX3ef2tJCLLDThhRUdzFxM3Xuv1pNnm0Ar
3osOw0tCzJ9Hu/EsbXhxfo/pUOlVKidyLoTnw5f87FtChx2Or9Ju6kTzAu4+
u+NbRocVin7tHz2SeWZ/dgcFVNAhgWLhLhRxj6fkeCvtRi0dXo6R2tevlfIc
09pLaO10cBry4h6Re84ThBnuk5uiw6b+liSdng5e1eyqS+k7GRAV0qMQIjTA
K/MGz7kOBjDP/ZTlC8Z4xj+V++vjZSBUp6hAgvWL5yDkH5x3iAmJ2S0TA6xZ
3h1hvbNvVVlwxpdseBaywBs4v62lQOkfCCpQV6w1pBL1Usld1vKLIb/bUfmu
uAgxPN1YXqgtC1uiJkNmb4oRDP1whWyLJWCcV7LWc6kkYWSaFDTjIQe7he1X
uHRKE9FH6Pwz+Wy4xbd36jhGI9zaKj9c6+WAa4DSxU8MBtETUmL8R20ZmO4q
cnE6LUNMNu67PPGvPNg3ugrnFDCJpUUV8pVFy+G4q9wzZfwfIlUuZnPz5RVw
rVWg4nBwMTEp/0Xx1UoFiPQYeKKeJEtEad6uMKhTAE/VV2e2CZYQ0nbPRZo8
FCEyp+/lwmY24VKbmKgowwUdhaqpXG02oa7WXD7B4sJ88m0FCx028d+Iy5c6
WS54XLXyyTFhEyYlhbudlnHByq1V0ewEmyhKeGiUp8yF1ZrPL2TGswkZfb19
Wjwu1JMPV+/+xiZa3g6JmJ3mQsCWKPOxn2xirt2oSdGdC1sKXfyTp9nEc62d
8ZNnuZCXubrtO5VDvHpQon7ThwuJoRkBSXIcwnRid/rHEC44GF3vGNLnEO23
n5q5J3Nhad05SoIxh2CEa9nuSuFCp7a5mrY5hyiM459ipnNhrzotOM6OQ0R6
l8eVZXFBgxG5Zut5DjF06gGD8ogL3yKdLPsvcIjWMWnt1iIuZFP1Q6IDOUQM
4emSVcIF9iS16/MVDrEjVaPNoIIL7ac/U6PiOMTDkRCMU82FmAFy7eYkDtEZ
VGP0HbhgcCTN6tNtDuHMGokma7mw6J3fpSsZHELIbrIt/jkX/gdxr8ue
"]]},
Annotation[#,
"Charting`Private`Tag$14274998#1"]& ], {}}, {{}, {}}, {{}, {}}}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-6.339416822971297, -9.834239220428765},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-6.339416822971297,
7.046118345915609}, {-9.834239220428765, -3.530070009455368}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
FormBox["100", TraditionalForm], {0.01, 0.}}, {6.907755278982137,
FormBox["1000", TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.703782474656201,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.991464547107982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.396929655216146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.551080335043404,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.684611727667927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.802394763324311,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.006367567650246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.294049640102028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.699514748210191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.85366542803745,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.987196820661973,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.104979856318357,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.210340371976184,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.305650551780507,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.392661928770137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.472704636443673,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.546812608597396,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.615805480084347,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.680344001221918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-9.903487552536127,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`",
TemplateBox[{"10",
RowBox[{"-", "5"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`",
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-7.600902459542082,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`",
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-5.298317366548036,
FormBox[
TagBox[
InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.819778284410283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.41431317630212,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.126631103850338`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.721165995742174,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.567015315914915,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.433483923290392,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.315700887634009,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.111728083308073,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.824046010856292,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.418580902748128,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.264430222920869,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.1308988302963465`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.013115794639964,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.8971199848858813`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, {
3.799278280790374*^9, 3.7992782900937853`*^9}, 3.799278351439066*^9,
3.799278389225691*^9, 3.799278514536735*^9, 3.799279638687525*^9,
3.7992802283585567`*^9, 3.7992802816319723`*^9, 3.799280326016467*^9,
3.799280361536272*^9, {3.799282857616042*^9, 3.799282866676395*^9},
3.799283537427549*^9},
CellLabel->
"Out[1102]=",ExpressionUUID->"3cf4a07a-fed0-4044-b199-e9842ae674c7"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"sol2D", "=",
RowBox[{"FindRoot", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalF]D", "[",
RowBox[{"2", ",", "A", ",", "B", ",",
RowBox[{
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}],
",", "x", ",", "2", ",", "2"}], "]"}], "=="}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{"\[ScriptCapitalF]Dinf", "[",
RowBox[{"2", ",", "A", ",", "B", ",",
RowBox[{
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}],
",", "x", ",", "2", ",", "2", ",",
RowBox[{"2", "-",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}], "]"}], "==",
RowBox[{
RowBox[{"-",
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ", "2",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}]}],
"\[IndentingNewLine]", "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"A", ",", "0.013"}], "}"}], ",",
RowBox[{"{",
RowBox[{"x", ",", "5"}], "}"}]}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799180807089128*^9, 3.7991808276368227`*^9}, {
3.7991808580224648`*^9, 3.799180861734915*^9}, {3.799180930992227*^9,
3.7991809311196012`*^9}, {3.799181049986146*^9, 3.799181169915367*^9}, {
3.799181300111656*^9, 3.7991813205893087`*^9}, {3.799181472960292*^9,
3.799181515096014*^9}, {3.799181570472735*^9, 3.799181575617075*^9}, {
3.799181635602063*^9, 3.799181680243128*^9}, {3.799181822926996*^9,
3.799181845013075*^9}, {3.799182020872713*^9, 3.799182020976478*^9}, {
3.799182156586933*^9, 3.799182275164572*^9}, {3.799182338999785*^9,
3.799182356709907*^9}, {3.799182532155188*^9, 3.79918253325663*^9}, {
3.7991827075570097`*^9, 3.799182707788034*^9}, {3.799183121938815*^9,
3.799183133387308*^9}, {3.799183164293985*^9, 3.799183172460617*^9}, {
3.7991833422325974`*^9, 3.799183373455719*^9}, {3.799183829016089*^9,
3.799183898585396*^9}, {3.79918394643517*^9, 3.799183968314651*^9}, {
3.799184652011235*^9, 3.799184652134934*^9}, {3.7991847139611797`*^9,
3.799184734922689*^9}, {3.799184856133011*^9, 3.7991848879554033`*^9}, {
3.799185051663848*^9, 3.799185064406308*^9}, {3.799185140113865*^9,
3.799185204800802*^9}, {3.79918543272644*^9, 3.7991854498948393`*^9}, {
3.799185711006762*^9, 3.799185741077106*^9}, {3.799193080512383*^9,
3.799193110558422*^9}, {3.799193176962076*^9, 3.799193224418894*^9}, {
3.799193263809907*^9, 3.7991932867376833`*^9}, {3.799193333332431*^9,
3.7991933334025517`*^9}, {3.799193394181978*^9, 3.7991934187800493`*^9}, {
3.7991934937902737`*^9, 3.799193494528131*^9}, {3.7991935967279873`*^9,
3.799193610065131*^9}, {3.7991937037865257`*^9, 3.799193725538727*^9}, {
3.799194631069624*^9, 3.799194653244233*^9},
3.799277239329878*^9},ExpressionUUID->"78a8ace5-821d-4d27-b2d7-\
d226876ff9fe"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"A", "\[Rule]", "0.0002358689548304411`"}], ",",
RowBox[{"x", "\[Rule]", "10.049445870931132`"}]}], "}"}]], "Output",
CellChangeTimes->{{3.7991808216993637`*^9, 3.799180862108307*^9},
3.799180931732389*^9, {3.799181152977585*^9, 3.799181170650926*^9}, {
3.79918120951182*^9, 3.799181235476692*^9}, 3.799181310544929*^9,
3.799181426296399*^9, 3.7991817476456003`*^9, 3.7991818351033792`*^9,
3.7991818844933453`*^9, {3.799181982574071*^9, 3.7991820058082457`*^9},
3.799182112820698*^9, {3.7991822055781727`*^9, 3.799182269579906*^9}, {
3.799182318744883*^9, 3.7991823466453733`*^9}, 3.799182492439032*^9,
3.799182675941188*^9, {3.799183141231515*^9, 3.799183167976919*^9},
3.799183296468463*^9, {3.7991838386913853`*^9, 3.799183900350835*^9}, {
3.799183962976*^9, 3.799183974335788*^9}, 3.799184129380135*^9,
3.799184197922843*^9, 3.7991843375981607`*^9, 3.799184615949195*^9,
3.799184690319317*^9, {3.799184725675857*^9, 3.7991847304805593`*^9},
3.799184776060902*^9, 3.799184906760455*^9, 3.799185089157001*^9,
3.799185272860224*^9, 3.799185673940814*^9, 3.799185777966242*^9, {
3.799193106479947*^9, 3.799193111408073*^9}, {3.7991931958182507`*^9,
3.7991932255789537`*^9}, 3.7991932688507*^9, {3.799193316562845*^9,
3.799193335326036*^9}, {3.7991933756327868`*^9, 3.799193421047381*^9}, {
3.799193599860334*^9, 3.79919361214032*^9}, 3.799193716011778*^9,
3.799194492465289*^9, {3.799194642235339*^9, 3.799194659741699*^9}},
CellLabel->
"Out[628]=",ExpressionUUID->"a03c15e1-df0a-4565-a778-0eea92ee7344"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Plot", "[",
RowBox[{"Exp", "[",
RowBox[{
RowBox[{
SuperscriptBox["x",
RowBox[{
RowBox[{"-", "7"}], "/", "3"}]],
RowBox[{"(",
RowBox[{"1", "+",
SuperscriptBox["x", "2"]}], ")"}]}], ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "10"}], "}"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799194494677067*^9, 3.799194540321404*^9}, {
3.799194584587699*^9,
3.7991945890188923`*^9}},ExpressionUUID->"aee1692a-103c-499c-bab0-\
06e242ce4783"],
Cell[BoxData[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], LineBox[CompressedData["
1:eJwVlXs41PkfxceMQS7JaEnMhK9SLonkFt6fUBFJ45JFCptaJNpUqk1LVrJZ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"]]},
Annotation[#, "Charting`Private`Tag$6172359#1"]& ]}, {}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0.4688004755734625},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
(Identity[#]& )[
Part[#, 1]],
(Identity[#]& )[
Part[#, 2]]}& )}},
PlotRange->{{0, 10}, {0.4688004755734625, 2.000930823344711}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{{3.799194506221608*^9, 3.799194540574852*^9}},
CellLabel->
"Out[625]=",ExpressionUUID->"45c68f1f-afe1-43f1-adde-36fe41dfe61e"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"test", "=", "\[IndentingNewLine]",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"10", "^", "X"}], ",",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalF]Real", "[",
RowBox[{"2", ",", "A", ",", "B", ",",
RowBox[{
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}],
",", "x", ",", "2", ",", "2"}], "]"}], "[",
RowBox[{"10", "^", "X"}], "]"}], "/.", "sol2D"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"X", ",",
RowBox[{"-", "3"}], ",", "5", ",", "0.1"}], "}"}]}], "]"}]}],
";"}]], "Input",
CellChangeTimes->{{3.799178014739478*^9, 3.79917817190007*^9}, {
3.79917820956592*^9, 3.799178231749209*^9}, {3.799178282871127*^9,
3.799178282966132*^9}, {3.799178374888632*^9, 3.799178422680767*^9}, {
3.7991784592023706`*^9, 3.799178465858551*^9}, 3.799178509851185*^9, {
3.799178592252684*^9, 3.7991785987159147`*^9}, {3.7991786382774687`*^9,
3.7991787698310347`*^9}, {3.799180552682291*^9, 3.7991805796806803`*^9}, {
3.799181442544293*^9, 3.799181465735372*^9}, {3.799181781228167*^9,
3.7991817820283127`*^9}, {3.7991831499084587`*^9, 3.7991831503395987`*^9},
3.799183983698203*^9, {3.799184164734666*^9, 3.799184165725909*^9},
3.7991848008185463`*^9, {3.79918492774043*^9, 3.799184938315954*^9}, {
3.799185287700121*^9, 3.7991852917706633`*^9}, {3.7991856859407673`*^9,
3.799185690653472*^9}, 3.799185866345994*^9, {3.79919342657296*^9,
3.799193427396006*^9}, {3.7991936212250757`*^9, 3.7991936327619877`*^9}, {
3.799194668245398*^9, 3.799194669116234*^9}},
CellLabel->
"In[631]:=",ExpressionUUID->"d9b69c96-1d8e-4618-8be3-d41d2612def5"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]], "Input",
CellChangeTimes->{{3.799272632322135*^9, 3.799272635820796*^9}},
CellLabel->
"In[828]:=",ExpressionUUID->"e6b303b9-7d8c-4eed-b0e1-3aee993f2985"],
Cell[BoxData[
RowBox[{"-", "0.9927983490314373`"}]], "Output",
CellChangeTimes->{3.7992726364394827`*^9},
CellLabel->
"Out[828]=",ExpressionUUID->"7345dbd1-f06a-40f2-9ad9-985c3c04cab9"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListLogLogPlot", "[",
RowBox[{"data2D2", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]2D"}], " ", "\[Delta]2D"}]]}], ",",
RowBox[{"#\[Chi]",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]2D"], "#T"}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"LogLogPlot", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"-", "2"}], " ",
RowBox[{"G2C", "[", "2", "]"}]}], ",",
RowBox[{
RowBox[{"-",
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ",
SuperscriptBox[
RowBox[{"(", "X", ")"}],
RowBox[{
RowBox[{"(",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-",
"2"}]], "2",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{
SuperscriptBox["X",
RowBox[{
RowBox[{"-", "2"}], "+",
FractionBox["1",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]}]],
RowBox[{"(",
RowBox[{
FractionBox[
RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-",
FractionBox[
RowBox[{"3", " ",
RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}], "2"]]}],
")"}]}], "-",
RowBox[{
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}], " ",
SuperscriptBox[
RowBox[{"(", "X", ")"}],
RowBox[{
RowBox[{"(",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-",
"2"}]], "2",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}],
"/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}]}], "}"}],
",",
RowBox[{"{",
RowBox[{"X", ",", "0.0001", ",", "10000"}], "}"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"ListLogLogPlot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",", "#2"}], "}"}], "&"}], "@@@", "test"}], ",",
RowBox[{"Joined", "\[Rule]", "True"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.7991535473962*^9, 3.799153571156912*^9}, {
3.799153605781364*^9, 3.799153627221924*^9}, {3.799153677687544*^9,
3.7991537255436487`*^9}, {3.799154305347486*^9, 3.79915431633066*^9}, {
3.799154594383874*^9, 3.79915459509507*^9}, {3.799157170665045*^9,
3.7991573112669287`*^9}, {3.7991574824721327`*^9,
3.7991574832935534`*^9}, {3.799157571048935*^9, 3.799157637088265*^9}, {
3.7991577429476*^9, 3.7991577430392933`*^9}, {3.799157917022194*^9,
3.7991579325810432`*^9}, {3.799160041210148*^9, 3.799160049649089*^9},
3.7991602283348923`*^9, {3.799162574233603*^9, 3.799162595088484*^9}, {
3.799162630122691*^9, 3.799162633665331*^9}, {3.799175779006465*^9,
3.799175780288958*^9}, {3.799175885490629*^9, 3.7991759184990873`*^9}, {
3.799176201704824*^9, 3.799176218216063*^9}, {3.799176279298258*^9,
3.799176295225132*^9}, {3.799176332203107*^9, 3.799176481229267*^9}, {
3.7991765581668653`*^9, 3.799176588670073*^9}, {3.799176636072299*^9,
3.7991766533842363`*^9}, {3.799176773586261*^9, 3.799176783249345*^9}, {
3.799176890629322*^9, 3.799176898868437*^9}, {3.79917697260588*^9,
3.79917700331878*^9}, {3.799177064958495*^9, 3.7991770661905193`*^9}, {
3.7991772387556953`*^9, 3.799177248970812*^9}, {3.7991773009886208`*^9,
3.799177368797152*^9}, {3.79917751489571*^9, 3.799177544721425*^9}, {
3.7991817851568537`*^9, 3.799181803764782*^9}, {3.799182900792144*^9,
3.79918292649686*^9}, {3.799183048235071*^9, 3.799183096050811*^9}, {
3.799184985390315*^9, 3.799185042162632*^9}, {3.799185102752943*^9,
3.799185103703329*^9}, {3.799185374598337*^9, 3.799185407030299*^9}, {
3.7991856952862*^9, 3.799185697117032*^9}, {3.799194676224284*^9,
3.799194691326653*^9}},ExpressionUUID->"be4115a5-fb4b-4996-ad0a-\
1dbaa8b4dc69"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[1.6],
PointBox[CompressedData["
1:eJwVl3c8Vf8fx81r3XP3dW3KiqzKTJxDGmYioeErFRUqDaNFqShFkVEJGWWU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"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwBWIQ7SspsX5jttIBd3EzM8Fw3gN1f1mXKPIj+Osffp4x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"]]},
Annotation[#, "Charting`Private`Tag$6207523#1"]& ],
TagBox[
{RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwl1Ps3lAkYwPGpydiJjPtgmmnmZV5EtM6Gk8s8uR0UGdehdHEZkUtKZSKS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"]]},
Annotation[#, "Charting`Private`Tag$6207523#2"]& ],
TagBox[
{RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwV1nk8FfsbB/Cz56QoN2bOObZzcMhStjZ1zXNTbrpKoVDSSirSclW2UMqW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"]]},
Annotation[#, "Charting`Private`Tag$6207523#3"]& ]}, {}}, {{}, {{{}, {},
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[1.6],
LineBox[CompressedData["
1:eJwVznk81Hkcx/FpaER+M2Mu5zAzGBSKJEeabx4k7DpyzEaxKWdope1B7eKx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"]]}},
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[
1.6]}, {
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[
1.6]}, {}}, {
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-6.339416822971297, -9.834239220428765},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-6.339416822971297,
7.046118345915609}, {-9.834239220428765, -3.530070009455368}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
FormBox["100", TraditionalForm], {0.01, 0.}}, {6.907755278982137,
FormBox["1000", TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.703782474656201,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.991464547107982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.396929655216146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.551080335043404,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.684611727667927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.802394763324311,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.006367567650246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.294049640102028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.699514748210191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.85366542803745,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.987196820661973,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.104979856318357,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.210340371976184,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.305650551780507,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.392661928770137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.472704636443673,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.546812608597396,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.615805480084347,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.680344001221918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-9.903487552536127,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`",
TemplateBox[{"10",
RowBox[{"-", "5"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`",
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-7.600902459542082,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`",
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-5.298317366548036,
FormBox[
TagBox[
InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.819778284410283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.41431317630212,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.126631103850338`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.721165995742174,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.567015315914915,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.433483923290392,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.315700887634009,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.111728083308073,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.824046010856292,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.418580902748128,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.264430222920869,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.1308988302963465`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.013115794639964,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.8971199848858813`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.799157646323372*^9, 3.7991577522687597`*^9, 3.7991578128339252`*^9,
3.799157941506836*^9, 3.799160220497615*^9, 3.799160268504189*^9,
3.799162548759418*^9, {3.799162586310547*^9, 3.7991626052365427`*^9},
3.799162643034289*^9, 3.799175919359541*^9, {3.799176202236909*^9,
3.799176219443248*^9}, {3.799176281319489*^9, 3.799176333907446*^9}, {
3.7991763977034597`*^9, 3.7991764815007277`*^9}, {3.799176579629201*^9,
3.79917658959522*^9}, {3.799176636748478*^9, 3.799176653709263*^9}, {
3.799176780831897*^9, 3.79917678355869*^9}, {3.799176891162327*^9,
3.7991768991901827`*^9}, {3.799176972882944*^9, 3.799176991388556*^9},
3.7991770665767927`*^9, {3.799177241169608*^9, 3.799177249390891*^9}, {
3.799177301513876*^9, 3.7991773614228477`*^9}, {3.799177527050853*^9,
3.7991775450250473`*^9}, {3.799181799414556*^9, 3.799181804398675*^9},
3.799181891357781*^9, 3.799182118794931*^9, 3.799182501243474*^9, {
3.799182681617434*^9, 3.799182686051887*^9}, {3.799182922675789*^9,
3.7991829269080687`*^9}, 3.7991830966248417`*^9, 3.799183152665144*^9, {
3.799183305483885*^9, 3.799183308472115*^9}, 3.7991839856780853`*^9,
3.799184204669628*^9, 3.799184342721187*^9, 3.79918444142542*^9,
3.799184620261137*^9, 3.799184699612319*^9, 3.7991848025857553`*^9, {
3.799184911602291*^9, 3.799184940854121*^9}, {3.799184994107936*^9,
3.799185042803236*^9}, {3.799185094806713*^9, 3.799185104348*^9}, {
3.799185282599937*^9, 3.799185293517847*^9}, {3.799185376773387*^9,
3.7991854075781107`*^9}, {3.799185692567683*^9, 3.799185697491791*^9}, {
3.799185873926753*^9, 3.7991858793388033`*^9}, 3.799193429222516*^9, {
3.7991936227754793`*^9, 3.7991936340119762`*^9}, {3.799194663960142*^9,
3.799194686536923*^9}},
CellLabel->
"Out[636]=",ExpressionUUID->"a786cd8f-99d1-4200-9de1-dcfde6d2aa4a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[",
RowBox[{
RowBox[{"LogLogPlot", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"-", "2"}], " ",
RowBox[{"G2C", "[", "2", "]"}]}], ",",
RowBox[{
RowBox[{"-",
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ",
SuperscriptBox[
RowBox[{"(", "X", ")"}],
RowBox[{
RowBox[{"(",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-",
"2"}]], "2",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{
SuperscriptBox["X",
RowBox[{
RowBox[{"-", "2"}], "+",
FractionBox["1",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]}]],
RowBox[{"(",
RowBox[{
FractionBox[
RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-",
FractionBox[
RowBox[{"3", " ",
RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}], "2"]]}],
")"}]}], "-",
RowBox[{
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}], " ",
SuperscriptBox[
RowBox[{"(", "X", ")"}],
RowBox[{
RowBox[{"(",
RowBox[{"2", "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-",
"2"}]], "2",
RowBox[{
RowBox[{"(",
RowBox[{
FractionBox["2",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}],
"/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}]}], "}"}],
",",
RowBox[{"{",
RowBox[{"X", ",", "0.0001", ",", "10000"}], "}"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"ListLogLogPlot", "[",
RowBox[{"test", ",",
RowBox[{"Joined", "\[Rule]", "True"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}], "]"}]], "Input",
CellChangeTimes->{{3.799184491300336*^9, 3.79918449394098*^9}},
CellLabel->"In[63]:=",ExpressionUUID->"d78d8e45-ddcc-4f90-827a-9b1f2bd45e93"],
Cell[BoxData[
GraphicsBox[{{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwBWIQ7SspsX5jttIBd3EzM8Fw3gN1f1mXKPIj+Osffp4x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"]]},
Annotation[#, "Charting`Private`Tag$203164#1"]& ],
TagBox[
{RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwl1Ps3lAkYwPGpydiJjPtgmmnmZV5EtM6Gk8s8uR0UGdehdHEZkUtKZSKS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"]]},
Annotation[#, "Charting`Private`Tag$203164#2"]& ],
TagBox[
{RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwV1nk8FfsbB/Cz56QoN2bOObZzcMhStjZ1zXNTbrpKoVDSSirSclW2UMqW
EtKtXIoUQkLLVTlPJWW5RJZoIyo3WaLN4fCb3x/zmtf7Na/5zmu+z/N8ZsRb
Apy9WQwGo4I+/n+21wvSL1s0QvUt87677rYZ7qnTsN60dIRaq7HFfEu1ARoY
JBIaXiPU0cSVXiYSPWwP4Y/WHBihTlX11RkqSzCx8cibyFMj1DLPkprHHmK0
nzn2YF7OCFVs/GLwZ6sujoUHZvfhCLUls72uc68uFrf0x2S1jVClKrZNw1q6
6Gvm6+cxNEKZJm/cX1qgg9pRnU6qynLKy3zNh3OWOvi8fZ3VYz05ZVTJG7er
1MYYiyaNkEVyiu/43e2GtzbaxqyQm6+RU+FveZ03VbTx65vK1x/85VSsw9CF
YpkW5s2BB2nH5VSAt/b5HQe1cNOJfy47Z8iphJ7S7k5rLVTvsoxRuiOnntyK
6XD9oYnVC/J3lT+TU4faGpLF5ZoYkWjg9Od/cmqlhnfpoxhNnPsx3dKYNUrN
r/1t/r9rNfHzr6RGh3CUGufnX+g01ES33smv/3AcpWqvjs0ZaxDh4WsCI/et
o5RCvWhQVCDCy7uM9m8LHqWCHoT18OJEONS7lB+WM0ptHX78/sYyEZL5rq6x
slGqEw/YzzEWIeW3NeNMyygl9/sZyZ8qwhOfI+YUcsaooIiJKX+0CLEk/1RE
mWiMeu9TpUi8J8R2v/SaSssxyvPGiaMvsoRo2Hd389tNY1Rl3l9dswOF+LDv
e8K0+2NUPdUZlSYW4n8F3DbNpjHqud6dzAgVIU7bPUN/Zu8Y5Z/fuJw/JsAN
/RZlvwkUVFD7+FDPCwFGFQJ3pbmC+pj7Ic/iqQDzdjutWve7gpqy7ood644A
f/b7fdgXqKCoij/D9c4JUOd6iEX4CQXVZGNqvyNOgPYBcaHxWQqqd8DIQBwq
wOSBq2qXGxSUr234QNMmAc4afGfbbDZOBfhL3V7OEuCaoi+xnUvGqbXHI1xt
9QQYuofR3Ld+nDofQfG/EQKsGtTaxYsbpzRGpk51Zglw2xf3s/M+jFNvOTtj
I9tJjL+x/Z2dYpxyCT4mnt9AYvHeA2arZkxQJ24Jymc9JXHiS/Ij38UTVNEU
d2i6ReL5obqBc+kTVNgLKKtLJfFB8WubKzcnKKl1D+FyisSefZ+PFddOUK+q
RuT8GBLnDPM1a+QTlPuP7S/4wfT1IIn+YRMG5PuWn521icSxtlwHzjwG7El4
tU5vHYmqNhYBcYsZkJ3logBXEufKqbJUDwbMV9rYMbSMxKPBG1Zdj2ZA/HCW
OmFNYupL2YVZKfR6G+2rn80iMWeR5GPBRQYcnOlGFs8ksW78Q1j+Pwy457Gj
8KMOiZ0bHapMKhmw/MtXiY2IxK94bca1Rgb8tsQqtkiDROHRPddyexlwTuVD
O1eFRLPuxu9GPxngdGezeRefRFg6Z3EOhwnP1OTLO7kk+kySv7iixYTw0ne9
i8YJLI4/yrvsxIRc2e1PXoMEPv78frWeJxP21Fs4zO4j8MWKZX9n+jKhzi5g
rugTgeOqU60vRTLB7ezJCLtuAqfvDQjXPcmE24f+rTrcSaB+Y0N1xnkmrIy2
Cn7+hkCHlNTN6SVM2CLOnfGkjUDPbz/ztZAJc18M8L1bCdy9dv3PtFom/Op8
LFTYTGAKqXvqwnt6PVioXv2MwKtBR9qFQ0xQV4xtelRHYFl7t8H5cSaMnVQP
bKwlsCMt995fBAsUyxI2m1cROKxQViL1WXDos+OBw08I5G3c7XLWnAUG14Zr
Oh4TaCq2+nTGgQVO2j51HQ8JpI6cmaO+lgUd05bUhD0g0LnrR0TKFhZ41XFy
zZDAg9n3iOQQFpQaeMsq7hMYx9PZqhbDAn0dG49r9whM2x5ZeDqFBXa2NqlZ
dwm8/rRrZNolFvDM6kwKygh8ONN+aWIBC+5xZzU8+YfA5ricRNUyFqze70wN
3yGwp3fyq5OVLNDe8cF8Nu1RR39DlecsmLFrwZaQ2wSqFNbvS3jLgmMbLU+3
3iJQrGpZPuUzC6Z2Lw6zo229J4V/4icLUnXWfyy/SeDvDd9dlblsKFN+c9qB
9jpLj4tx09mgZJ4KXaUE+iff7eVrs2Fydd6deNoRX7XmxRqzwXjDGVxMO2lN
xBGleWx4lU3oKtHOvvXu32g7NiT1Wlx8WULgHWKpYNIqNhwoECjfp1196Oq2
455seJRtbppP+3Ubv4i7gw0LdMfqc2gP2viNRgWyoS1Ds6KYNjutzp5zhA2V
z5a2VtHWUJgnHT3JhpcP57b10Z7plfyadYENqjuLz2vTz18k+2Z05CobLm8+
1LeetlKzJMe0hA3pSWHrL9J+/snJsLWcDYZLD+wdoJ3OCLsSWc2G/vIfyv9/
/50aeQamLWzwP2OnVEB7jmnr5ZZONsS42S0R0fvHWMzRj+xjQ7dHVHoy7bP+
XpIWDgeSmUKTTHr/txyNvxQxjQPXjf7Smk/XZ9a5O7ommhzYoZxV2Eq7okJN
J8KKA3p7WVZWdL0T26l0Y4oD8Xq83n7a6wf9tJqXc8DDvr+6hO6PIdETkfEW
Dqjxj512p/up3OLr+SZ/DghQAfPLCYz9XSwMD+LAO5P/cnVlBOruDyGbEjng
uOudrTLdnyuqZ6sflnEgV+VlwRK6n8kOzxSjGg4Y50332l5JYPe32F+et3Dg
bsU5RhLd/8Hi7ulG/Rxwjm3AcXo+cg79pdKoyYWATCFa1RP458nHCaFGXGh7
55yUTM8bdXloiqE1F4piinPkDQS21Dsqh/7BhdpbrqvfNNH1M2QqSYO54HEm
O2CknUCv5h3M4FYuuJlee7i7h0Dj3tQI/S4upLlN4djQefGNUTFR18+FBujx
Vf5M4AlT7XE9Hg8epkxswAF6no82yv+15sEvX7uW7f1BoLrlwq/iJB68X6iz
+90kEoswIfP03zy4edt2+jidZ45OHauYuTyoKXor055CYpTfsYIOGQ/2Ry+e
FjCNxKEr9T4ZffT9wxE2ywV0noq2tWk6TIINO0uJThMSo7kJ5QRDCVKyBaPL
6byWpLz1i1ZWgv/0594bXktiucRS9ENDCfaltqy86EHid6r1YIuZEhz07nzK
2UjitmCxxZn1SjDPum+ufAedrwM3s9RuK4Fm+4rgxAgSR168iZm6mw8l5MhD
myISU3ynbDgQzAdW6J7ZySUkmv9cYPH2OB8yIgmtAfr75EOcaSvK4MPjBZEb
b9wnsXHNH8auDXwQxiqVe9WQmNd4u+a89WS4stdF2e0jiZ61iSpGo5OhbU/M
sySxAGWyxSmLY6ZAs+z1QtV0AWY3uSQt8VeFPm5AyPs0Id5KSWIvWzYdfnui
HeReJULjltXzXGVqcGzGuS+qQ5qYZYFOvNkzIPVVQ6FAVxunFpzUe31fHRb8
urBbZ68ORstK9ggtCUhPcK9b4KGLQ1/mB4U+JuHmoNPh2ZPFuNXW3ydqtRAS
ubOjzcrE2C3+WTv0UAQNUZ+CBjdKcI1BV/8xFy3w8Tz551R1PWyR6ceFV2nD
2sOzXc1kejirbPIxVU1dyFhgf/W+jz7u0C/J/PJOF5obThVSWgZo2s5THE8T
A1HNqSSeGqCRTv3VRxliWCrcdfWXGvp/dttZZ0aWGB5VzDutWmeA2v2GOUG5
YhAr3odNajLAaSwHF79bYnBwrSj78dYAv86Mz139TAxbTdTutf0wwPtBqms1
ORKofZSZl2UoxbLyVobHJAm01t+Ju2gsxVvsi9fOTJaASdWqfX+bSbEowZyp
Ol0Clnm9bmetpJh5aXU+U1sCd0+qhcZTUjxelcz6OE8Cc3/fJgl0k+IRFc8C
vYUSCPSOOLhvnRTDXfTdN9lKYPuzm88DNkjx0OvSgrYlEuiZ43Jp51Yp7vzS
7F67WgJ9RjmJmwKk6DM3nc1fI4EBvzdaXvukuDXEp3CpuwQefBy9sT5Qip7c
H2yZlwR0up/3rw2RovtyWeHoZglM6B8563pYimtORXvM95aAo2jC3jlSis5N
TpxAXwk8Ll2icIqS4koBef3GLgnIuh3LVkRL8X/Oz60z
"]]},
Annotation[#,
"Charting`Private`Tag$203164#3"]& ]}, {}}, {{}, {{{}, {},
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[1.6],
LineBox[CompressedData["
1:eJw1Uw1Qk3UYH0vppr1jG2ywDdgXG2wLCD3aKcT+OkEOyUM5E9AEgW0EFV4p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"]]}},
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[
1.6]}, {
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[
1.6]}, {}}, {
{GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-9.210340371976182, -14.85811410533321},
CoordinatesToolOptions:>{"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& ,
Charting`ScaledFrameTicks[{Log, Exp}]}, {Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& ,
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultBoundaryStyle" -> Automatic,
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" ->
AbsolutePointSize[6], "ScalingFunctions" -> None},
PlotRange->NCache[{{-9.210340371976182,
Log[10000]}, {-14.85811410533321,
5.94557794164149}}, {{-9.210340371976182,
9.210340371976184}, {-14.85811410533321, 5.94557794164149}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Quiet[
Charting`ScaledTicks[{Log, Exp}][#, #2, {6,
6}]]& }, {{{-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {
2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {6.907755278982137,
FormBox["1000", TraditionalForm], {0.01, 0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.605170185988091,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0.,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.210340371976184,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.56171562913966,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.608235644774552`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-13.815510557964274`,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "6"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {6.907755278982137,
FormBox["1000", TraditionalForm], {0.01, 0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.605170185988091,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.006367567650246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.294049640102028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.699514748210191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.85366542803745,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.987196820661973,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.104979856318357,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.210340371976184,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{3.799184494224378*^9},
CellLabel->"Out[63]=",ExpressionUUID->"250dc79e-ac81-49b3-bf39-24a3546a0952"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"D", "[",
RowBox[{
SuperscriptBox["x",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]"}], ")"}], "/", "\[Beta]\[Delta]"}]], ",",
RowBox[{"{",
RowBox[{"x", ",", "2"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.799269869140285*^9, 3.799269880105503*^9}},
CellLabel->
"In[821]:=",ExpressionUUID->"5d351909-4645-464e-813a-59d5c13efedd"],
Cell[BoxData[
FractionBox[
RowBox[{
SuperscriptBox["x",
RowBox[{
RowBox[{"-", "2"}], "+",
FractionBox[
RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}]], " ",
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+",
FractionBox[
RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}], ")"}]}],
"\[Beta]\[Delta]"]], "Output",
CellChangeTimes->{3.799269880312571*^9},
CellLabel->
"Out[821]=",ExpressionUUID->"b1890e13-2fa3-4855-9d6a-c951799c96be"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"Collect", "[",
RowBox[{
RowBox[{"D", "[",
RowBox[{
RowBox[{
SuperscriptBox["h",
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]"}], ")"}], "/",
RowBox[{"(", "\[Beta]\[Delta]", ")"}]}]],
RowBox[{"\[CapitalPhi]t", "[",
RowBox[{"t", " ",
SuperscriptBox["h",
RowBox[{
RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]]}], "]"}]}], ",",
RowBox[{"{",
RowBox[{"h", ",", "1"}], "}"}]}], "]"}], ",",
SuperscriptBox["h",
RowBox[{
RowBox[{
RowBox[{"(",
RowBox[{"2", "-", "\[Alpha]"}], ")"}], "/", "\[Beta]\[Delta]"}], "-",
"2"}]]}], "]"}], "//", "Simplify"}]], "Input",
CellChangeTimes->{{3.799177441113947*^9, 3.7991774763995047`*^9}, {
3.799182729766161*^9, 3.799182740260255*^9}, 3.7991827831587543`*^9,
3.799182842335731*^9, {3.799182964176639*^9, 3.7991829730962553`*^9},
3.799183559724412*^9, {3.79918856340546*^9, 3.799188595332732*^9}, {
3.79936338868032*^9, 3.79936340504699*^9}},
CellLabel->
"In[1882]:=",ExpressionUUID->"08a9e4e5-d4f3-4d1a-9a97-38433efd9217"],
Cell[BoxData[
FractionBox[
RowBox[{
SuperscriptBox["h",
RowBox[{"-",
FractionBox[
RowBox[{
RowBox[{"-", "1"}], "+", "\[Alpha]", "+", "\[Beta]\[Delta]"}],
"\[Beta]\[Delta]"]}]], " ",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"-",
SuperscriptBox["h",
FractionBox["1", "\[Beta]\[Delta]"]]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "2"}], "+", "\[Alpha]"}], ")"}], " ",
RowBox[{"\[CapitalPhi]t", "[",
RowBox[{
SuperscriptBox["h",
RowBox[{
RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}],
"-",
RowBox[{"t", " ",
RowBox[{
SuperscriptBox["\[CapitalPhi]t", "\[Prime]",
MultilineFunction->None], "[",
RowBox[{
SuperscriptBox["h",
RowBox[{
RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}],
"]"}]}]}], ")"}]}], "\[Beta]\[Delta]"]], "Output",
CellChangeTimes->{
3.799177476570327*^9, 3.799182742379727*^9, 3.799182783647419*^9,
3.799182842787499*^9, 3.799182973336986*^9, 3.799183560450472*^9, {
3.7991885716434717`*^9, 3.799188595538877*^9}, {3.7993633899645023`*^9,
3.799363405269781*^9}},
CellLabel->
"Out[1882]=",ExpressionUUID->"e86ea455-58c1-492c-8546-efa6d9dbdf3f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"2",
RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}],
RowBox[{
RowBox[{"(",
RowBox[{"0", "-", "2"}], ")"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]], "Input",
CellChangeTimes->{{3.7993634275513906`*^9, 3.7993634409517593`*^9}, {
3.799363474905849*^9, 3.799363475088552*^9}, 3.7993641112318583`*^9},
CellLabel->
"In[1891]:=",ExpressionUUID->"3016f494-e578-49f8-971d-193f4907b685"],
Cell[BoxData["2.117969811267066`"], "Output",
CellChangeTimes->{{3.799363437535326*^9, 3.799363441140842*^9},
3.799363475360965*^9, 3.799364111548427*^9},
CellLabel->
"Out[1891]=",ExpressionUUID->"b471de6d-b0f2-4270-afca-6a8f78f1b8b6"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"G2C", "[", "3", "]"}], "3", " ", "2"}]], "Input",
CellChangeTimes->{{3.7993636491228943`*^9, 3.799363667253088*^9}, {
3.7993637862008553`*^9, 3.799363799680163*^9}, {3.799367721974552*^9,
3.799367726946879*^9}},
CellLabel->
"In[1894]:=",ExpressionUUID->"0ed84416-ee8e-4d04-98b4-781589a53004"],
Cell[BoxData["0.01763582632660643`"], "Output",
CellChangeTimes->{{3.7993636625685997`*^9, 3.799363667537794*^9}, {
3.799363786500139*^9, 3.799363799860445*^9}, 3.799367727222096*^9},
CellLabel->
"Out[1894]=",ExpressionUUID->"8cce44e3-a017-41fa-811d-fee0e541745a"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"D", "[",
RowBox[{
FractionBox["1",
RowBox[{"(",
RowBox[{"xp", "-", "x"}], ")"}]], ",",
RowBox[{"{",
RowBox[{"x", ",", "5"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.7992607626272573`*^9, 3.799260808903955*^9}, {
3.799260840953993*^9, 3.799260901089415*^9}},
CellLabel->
"In[706]:=",ExpressionUUID->"14d31467-478f-475c-ab49-80323ec026bf"],
Cell[BoxData[
FractionBox["120",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"-", "x"}], "+", "xp"}], ")"}], "6"]]], "Output",
CellChangeTimes->{{3.79926077973816*^9, 3.7992608090599833`*^9}, {
3.79926084114296*^9, 3.799260901348024*^9}},
CellLabel->
"Out[706]=",ExpressionUUID->"4aab1022-c97b-4b7a-88a2-85667c337d47"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
Cell["New Schofield", "Subsection",
CellChangeTimes->{{3.799286063584346*^9,
3.799286066345027*^9}},ExpressionUUID->"7280a427-4161-4a29-9095-\
3b4597dddbfb"],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A_", ",", "B_"}], "]"}], "[", "X_", "]"}], ":=",
RowBox[{"With", "[",
RowBox[{
RowBox[{"{",
RowBox[{"Y", "=",
RowBox[{"B", " ", "X"}]}], "}"}], ",",
RowBox[{
FractionBox[
RowBox[{"A", " ",
SuperscriptBox["B", "2"]}],
RowBox[{"\[Pi]", " ",
SuperscriptBox["Y", "3"]}]],
RowBox[{"(",
RowBox[{
RowBox[{"Y",
RowBox[{"(",
RowBox[{"Y", "-", "1"}], ")"}]}], "-",
RowBox[{
RowBox[{"Exp", "[",
RowBox[{"1", "/", "Y"}], "]"}],
RowBox[{"ExpIntegralEi", "[",
RowBox[{
RowBox[{"-", "1"}], "/", "Y"}], "]"}]}]}], ")"}]}]}],
"]"}]}]], "Input",
CellChangeTimes->{{3.7992864929128017`*^9, 3.7992864934010773`*^9}},
CellLabel->
"In[1115]:=",ExpressionUUID->"7b62b818-ac58-492a-bc0d-40e12d261bb1"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]2Dtmp", "=",
RowBox[{"SeriesCoefficient", "[",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",", "B2D"}], "]"}], "[", "X", "]"}], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",", "0"}], "}"}], ",",
RowBox[{"Assumptions", "\[Rule]",
RowBox[{"{",
RowBox[{"X", ">", "0"}], "}"}]}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799287299636573*^9, 3.799287338355678*^9}},
CellLabel->
"In[1127]:=",ExpressionUUID->"bfec9b16-3425-4418-8891-3503a1b9a26a"],
Cell[BoxData[
FractionBox[
RowBox[{"A", " ",
SuperscriptBox[
RowBox[{"ArcSinh", "[", "1", "]"}],
RowBox[{"1", "/", "4"}]]}],
RowBox[{
SuperscriptBox["2",
RowBox[{"3", "/", "8"}]], " ",
SuperscriptBox["\[Pi]", "3"], " ",
SuperscriptBox[
RowBox[{"Log", "[",
RowBox[{"1", "+",
SqrtBox["2"]}], "]"}], "4"]}]]], "Output",
CellChangeTimes->{{3.799287332585656*^9, 3.799287339122821*^9}},
CellLabel->
"Out[1127]=",ExpressionUUID->"475abb7b-d038-4afa-bb3f-fc5e2e84764b"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"\[Theta]c", "=", "1.08"}], ";"}]], "Input",
CellChangeTimes->{{3.799295199484185*^9, 3.799295201045396*^9}, {
3.799323084407125*^9, 3.7993230863996058`*^9}, {3.799323596723268*^9,
3.799323597858152*^9}, {3.799323815575569*^9, 3.7993238289592047`*^9}},
CellLabel->
"In[1384]:=",ExpressionUUID->"7625b2fc-0acc-473e-a425-29f248935ea5"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"e1", "=",
RowBox[{
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"Abs", "[",
RowBox[{"1", "-",
SuperscriptBox["\[Theta]c", "2"]}], "]"}],
RowBox[{"-", "\[Gamma]"}]], "\[ScriptCapitalY]02D"}], "\[Equal]",
RowBox[{"Simplify", "[",
RowBox[{"Y0", "+",
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], ")"}], "2"],
"\[ScriptCapitalY]2Dtmp"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}],
"]"}], "[",
RowBox[{"2", " ", "\[Theta]c"}], "]"}]}], "]"}]}], "//.",
RowBox[{"{",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}], "]"}]}],
"}"}]}], "//", "Expand"}]}]], "Input",
CellChangeTimes->{{3.799293306544406*^9, 3.799293348282279*^9}, {
3.799293389378928*^9, 3.799293465516193*^9}, {3.799293496245105*^9,
3.79929353236604*^9}, {3.799293944292547*^9, 3.799293948619625*^9}, {
3.7992946328154297`*^9, 3.799294635157052*^9}, {3.7992947681206636`*^9,
3.799294788279757*^9}, {3.799294833171996*^9, 3.799294834368535*^9}, {
3.799294883394321*^9, 3.7992948873526077`*^9}, {3.799323124241579*^9,
3.7993231299603357`*^9}},
CellLabel->
"In[1385]:=",ExpressionUUID->"aea7d906-5afc-4a15-b000-27d193b862d8"],
Cell[BoxData[
RowBox[{"0.5891161099924269`", "\[Equal]",
RowBox[{
RowBox[{
RowBox[{"-", "0.0682248555778015`"}], " ", "A"}], "+",
RowBox[{"2.1304965706932713`", " ", "A", " ", "h0"}], "+",
RowBox[{"133.06046892425118`", " ", "A", " ",
SuperscriptBox["h0", "2"]}], "+", "Y0", "-",
FractionBox[
RowBox[{"0.0021847633939618303`", " ", "A", " ",
SuperscriptBox["\[ExponentialE]",
RowBox[{"0.032022983053007624`", "/", "h0"}]], " ",
RowBox[{"ExpIntegralEi", "[",
RowBox[{"-",
FractionBox["0.032022983053007624`", "h0"]}], "]"}]}],
"h0"]}]}]], "Output",
CellChangeTimes->{{3.7992935202401857`*^9, 3.7992935327979307`*^9},
3.799293949355529*^9, 3.799294635886009*^9, 3.799294715324243*^9, {
3.799294769876501*^9, 3.799294788581222*^9}, 3.7992948395528803`*^9,
3.7992948880652657`*^9, 3.799323052462859*^9, 3.799323091786645*^9,
3.799323139865368*^9, 3.799323601595889*^9, {3.7993238170334053`*^9,
3.7993238297805557`*^9}},
CellLabel->
"Out[1385]=",ExpressionUUID->"15fc10dc-08f3-4772-a7c8-a56d13cbc75a"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"e2", "=",
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"h0", " ",
RowBox[{"g", "[", "1", "]"}]}], ")"}],
RowBox[{
RowBox[{"-", "\[Gamma]2D"}], "/",
RowBox[{"(",
RowBox[{"\[Delta]2D", " ", "\[Beta]2D"}], ")"}]}]],
"\[ScriptCapitalY]\[Infinity]2D"}], "\[Equal]",
RowBox[{"Y0", "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], "]"}],
"[",
RowBox[{"(", " ",
RowBox[{"\[Theta]c", "-", "1"}], ")"}], "]"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], "B2D"}]}], "]"}], "[",
RowBox[{"(", " ",
RowBox[{"\[Theta]c", "+", "1"}], ")"}], "]"}]}]}], "//.",
RowBox[{"{",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}], "]"}]}],
"}"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.799293535329914*^9, 3.799293628024756*^9},
3.799293710287335*^9, {3.799293742130342*^9, 3.799293745305656*^9}, {
3.799294643782908*^9, 3.79929465041063*^9}, {3.799323127073207*^9,
3.799323128360032*^9}},
CellLabel->
"In[1386]:=",ExpressionUUID->"2a603e3e-a825-4743-82a4-a7106868ad2f"],
Cell[BoxData[
RowBox[{
RowBox[{"e3", "=",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"-", "2"}],
RowBox[{"(",
RowBox[{"-", "0.4812908661543487`"}], ")"}]}], "\[Equal]",
RowBox[{"Y0", "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], "]"}],
"[", "\[Theta]c", "]"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], "]"}],
"[", " ", "\[Theta]c", "]"}]}]}], "//.",
RowBox[{"{",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}], "]"}]}],
"}"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.799293635739888*^9, 3.7992936811455317`*^9},
3.7992937131996727`*^9, {3.799294654615035*^9, 3.799294705980193*^9}, {
3.799322741629682*^9, 3.799322744253231*^9}, {3.7993231374969053`*^9,
3.799323138231982*^9}, {3.799323524610867*^9, 3.799323533353302*^9}},
CellLabel->
"In[1387]:=",ExpressionUUID->"e3fa7126-bda4-48f3-879c-bb44b9ae71fd"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"-", "2"}],
RowBox[{"(",
RowBox[{"-", "0.4812908661543487`"}], ")"}]}]], "Input",
CellLabel->
"In[1866]:=",ExpressionUUID->"a84a3fb0-9109-46e9-b531-a3e0de745ee7"],
Cell[BoxData["0.9625817323086974`"], "Output",
CellChangeTimes->{3.7993517061580772`*^9},
CellLabel->
"Out[1866]=",ExpressionUUID->"7950bc17-85e3-403a-85fe-93fff3a55c35"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"s2D", "=",
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{"{",
RowBox[{"e1", ",", "e2", ",", "e3"}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"h0", ",", "0.57"}], "}"}], ",",
RowBox[{"{",
RowBox[{"A", ",", "0.0014"}], "}"}], ",",
RowBox[{"{",
RowBox[{"Y0", ",", "1"}], "}"}]}], "}"}], ",",
RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799293682172894*^9, 3.799293695216408*^9}, {
3.799293760299116*^9, 3.79929377307885*^9}, {3.799294719711046*^9,
3.799294723430684*^9}, {3.799295146678824*^9, 3.799295147277165*^9}, {
3.799323025926581*^9, 3.7993230491736107`*^9}},
CellLabel->
"In[1388]:=",ExpressionUUID->"41f2f4cf-a5be-4145-8664-24934d077dd3"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"h0", "\[Rule]", "0.5009089620738538`"}], ",",
RowBox[{"A", "\[Rule]",
RowBox[{"-", "0.012226564834182807`"}]}], ",",
RowBox[{"Y0", "\[Rule]", "1.0096552744217693`"}]}], "}"}]], "Output",
CellChangeTimes->{{3.7992937014548283`*^9, 3.799293718387292*^9}, {
3.799293755038495*^9, 3.7992937735332413`*^9}, 3.799294673540114*^9, {
3.799294717062633*^9, 3.799294724300838*^9}, 3.799294895103196*^9,
3.799295147530353*^9, 3.799322746246059*^9, {3.799323036871018*^9,
3.799323054181484*^9}, 3.7993230958491497`*^9, 3.799323142984583*^9, {
3.799323528054665*^9, 3.799323533995337*^9}, 3.79932360450535*^9, {
3.799323817975586*^9, 3.7993238304185658`*^9}},
CellLabel->
"Out[1388]=",ExpressionUUID->"ed08a9d7-eb20-44b2-b971-1c6824d964fb"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"func", "=",
RowBox[{"Sort", "@",
RowBox[{"(",
RowBox[{"Reverse", "/@",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{"\[Theta]", ",",
RowBox[{
RowBox[{"h0", " ",
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["\[Theta]", "2"],
SuperscriptBox["\[Theta]c", "2"]]}], ")"}],
RowBox[{"\[Theta]", "/",
SuperscriptBox[
RowBox[{"Abs", "[",
RowBox[{"1", "-",
SuperscriptBox["\[Theta]", "2"]}], "]"}],
"\[CapitalDelta]"]}]}], "/.", "s2D"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"\[Theta]", ",", "1.0001", ",",
RowBox[{"\[Theta]c", "-", "0.00001"}], ",", "0.00001"}], "}"}]}],
"]"}]}], ")"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.7992951544690027`*^9, 3.799295210246323*^9}, {
3.7992954268105373`*^9, 3.79929542921747*^9}},
CellLabel->
"In[1389]:=",ExpressionUUID->"0caa96d3-26a4-4b90-9dd5-132b84d3bcff"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"\[ScriptCapitalY]2DScho", "=",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",",
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["#2", "2"], "-", "1"}], ")"}],
RowBox[{"7", "/", "4"}]],
RowBox[{"(",
RowBox[{"Y0", "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}],
"]"}], "[",
RowBox[{"\[Theta]c", "-", "#2"}], "]"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]2D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}],
"]"}], "[", " ",
RowBox[{"\[Theta]c", "+", "#2"}], "]"}]}], ")"}]}], "/.",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}],
"]"}]}]}], "/.", "s2D"}]}], "}"}], "&"}], "@@@", "func"}]}],
";"}]], "Input",
CellChangeTimes->{{3.799295240237157*^9, 3.79929535080898*^9}, {
3.799295392834118*^9, 3.799295397865663*^9}},
CellLabel->
"In[1390]:=",ExpressionUUID->"ba11040c-f390-4eac-baad-a494f12f7898"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"13818.358345057191`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1390, 937,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.7993230976661987`*^9, 3.799323146360944*^9, 3.799323536212592*^9,
3.7993236059510193`*^9, {3.799323819174253*^9, 3.799323830915509*^9}},
CellLabel->
"During evaluation of \
In[1390]:=",ExpressionUUID->"823a51eb-2d04-4760-b4e3-891dff283d71"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"6913.252556937997`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1390, 938,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.7993230976661987`*^9, 3.799323146360944*^9, 3.799323536212592*^9,
3.7993236059510193`*^9, {3.799323819174253*^9, 3.7993238310008574`*^9}},
CellLabel->
"During evaluation of \
In[1390]:=",ExpressionUUID->"61a85bbe-4396-4295-ae54-57e768176b7d"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"4611.376211551087`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1390, 939,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.7993230976661987`*^9, 3.799323146360944*^9, 3.799323536212592*^9,
3.7993236059510193`*^9, {3.799323819174253*^9, 3.799323831100807*^9}},
CellLabel->
"During evaluation of \
In[1390]:=",ExpressionUUID->"2962eb7b-21f0-4bfd-b1f8-71eb373585d0"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1390, 940, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.7993230976661987`*^9, 3.799323146360944*^9, 3.799323536212592*^9,
3.7993236059510193`*^9, {3.799323819174253*^9, 3.799323831110948*^9}},
CellLabel->
"During evaluation of \
In[1390]:=",ExpressionUUID->"4307c936-a7be-497a-a5a2-94ff854d87f2"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListLogLogPlot", "[",
RowBox[{"data2D2", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]2D"}], " ", "\[Delta]2D"}]]}], ",",
RowBox[{"#\[Chi]",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]2D"], "#T"}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"LogLogPlot", "[",
RowBox[{"\[ScriptCapitalY]2D1", ",",
RowBox[{"{",
RowBox[{"x", ",", "0.0001", ",", "1000"}], "}"}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"ListLogLogPlot", "[",
RowBox[{"\[ScriptCapitalY]2DScho", ",",
RowBox[{"Joined", "\[Rule]", "True"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, {
3.799278272634544*^9, 3.799278289289773*^9}, {3.799282861259457*^9,
3.7992828659783688`*^9}, {3.799295354672873*^9, 3.799295370024973*^9}},
CellLabel->
"In[1391]:=",ExpressionUUID->"70a2b2a9-8154-4972-a106-cc2749585214"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1391, 941,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9,
3.7992954007216167`*^9, 3.799295432255459*^9, 3.799323068524439*^9,
3.799323101209354*^9, 3.799323149603919*^9, 3.799323539457821*^9,
3.7993236085844793`*^9, {3.7993238214933434`*^9, 3.799323834457299*^9}},
CellLabel->
"During evaluation of \
In[1391]:=",ExpressionUUID->"113b1e76-a598-4154-9886-9784918f43f8"],
Cell[BoxData[
TemplateBox[{
"LogLogPlot", "precw",
"\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{SuperscriptBox[\\\"2\\\
\", RowBox[{\\\"11\\\", \\\"/\\\", \\\"16\\\"}]], \\\" \\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \
\\\"Charting`Private`pvar$15472037\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \
\\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"+\
\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"]}], \
SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \
RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"-\\\", \\\"0\\\"}], \
\\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\
\"}], \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \
FractionBox[RowBox[{SuperscriptBox[\\\"2\\\", RowBox[{\\\"11\\\", \\\"/\\\", \
\\\"16\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \\\", RowBox[{\\\"Im\\\", \\\"[\
\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"30\\\", \\\"\[RightSkeleton]\\\"}]}]], \\\"]\\\"}], \
\\\" \\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \
\\\"+\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"]}], \
SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \
RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"-\\\", \\\"0\\\"}], \
\\\",\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"0.8129023478488784`\\\"}], \
\\\" \\\", RowBox[{\\\"Im\\\", \\\"[\\\", RowBox[{SuperscriptBox[\\\"\
\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \\\" \\\", \
\\\"Charting`Private`pvar$15472037\\\"}]], \\\" \\\", RowBox[{\\\"(\\\", \
RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\
\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\
\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"-\\\", \
RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", RowBox[{\\\"Power\\\", \
\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \
\\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \
RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\
\"-\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision (\\!\\(\
\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1391, 942, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9,
3.7992954007216167`*^9, 3.799295432255459*^9, 3.799323068524439*^9,
3.799323101209354*^9, 3.799323149603919*^9, 3.799323539457821*^9,
3.7993236085844793`*^9, {3.7993238214933434`*^9, 3.7993238345661716`*^9}},
CellLabel->
"During evaluation of \
In[1391]:=",ExpressionUUID->"c3b8e20d-bcd6-4403-8de6-5eaac1e36d4c"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1391, 943,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9,
3.7992954007216167`*^9, 3.799295432255459*^9, 3.799323068524439*^9,
3.799323101209354*^9, 3.799323149603919*^9, 3.799323539457821*^9,
3.7993236085844793`*^9, {3.7993238214933434`*^9, 3.799323834687273*^9}},
CellLabel->
"During evaluation of \
In[1391]:=",ExpressionUUID->"09e2ae1d-a31e-4645-830b-cb559bc5cc17"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1391, 944,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9,
3.7992954007216167`*^9, 3.799295432255459*^9, 3.799323068524439*^9,
3.799323101209354*^9, 3.799323149603919*^9, 3.799323539457821*^9,
3.7993236085844793`*^9, {3.7993238214933434`*^9, 3.799323834786718*^9}},
CellLabel->
"During evaluation of \
In[1391]:=",ExpressionUUID->"94f5e5aa-6ca0-4864-a599-f525d7aabd4d"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1391, 945, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9,
3.7992954007216167`*^9, 3.799295432255459*^9, 3.799323068524439*^9,
3.799323101209354*^9, 3.799323149603919*^9, 3.799323539457821*^9,
3.7993236085844793`*^9, {3.7993238214933434`*^9, 3.799323834798334*^9}},
CellLabel->
"During evaluation of \
In[1391]:=",ExpressionUUID->"08923039-8619-4c43-953c-d5df09fa34c7"],
Cell[BoxData[
TemplateBox[{
"LogLogPlot", "precw",
"\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{\\\"True\\\", \\\",\\\", \\\"True\\\", \\\",\\\", \
RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{SuperscriptBox[\\\"2\\\", \
RowBox[{\\\"11\\\", \\\"/\\\", \\\"16\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \
\\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"+\
\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"], \\\" \\\", \
RowBox[{\\\"Re\\\", \\\"[\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \
RowBox[{\\\"-\\\", \\\"Charting`Private`pvar$15472037\\\"}]], \\\"]\\\"}]}], \
SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \
RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"\[LessEqual]\\\", \
\\\"0\\\"}], \\\",\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \
\\\"0.8129023478488784`\\\"}], \\\" \\\", RowBox[{\\\"Re\\\", \\\"[\\\", \
RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\
\"3\\\"}], \\\" \\\", \\\"Charting`Private`pvar$15472037\\\"}]], \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\
\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
\\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
\"-\\\", RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \
RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\
\"\[LessEqual]\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than \
WorkingPrecision (\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1391, 946,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9,
3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9,
3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9,
3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9,
3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9,
3.7992954007216167`*^9, 3.799295432255459*^9, 3.799323068524439*^9,
3.799323101209354*^9, 3.799323149603919*^9, 3.799323539457821*^9,
3.7993236085844793`*^9, {3.7993238214933434`*^9, 3.799323834904901*^9}},
CellLabel->
"During evaluation of \
In[1391]:=",ExpressionUUID->"36ab737c-0084-4671-8bb0-c7b96ee8c28f"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[1.6],
PointBox[CompressedData["
1:eJwVl3c8Vf8fx81r3XP3dW3KiqzKTJxDGmYioeErFRUqDaNFqShFkVEJGWWU
rJDovJPISFZEieydjOz8zu+v8ziPc87nvM/5vF/v1/O1xu2U3VEeLi6uGW4u
rv8fNXgf5n569RlfP9I1n2xEBdsN02/vezeh+kt2AmPradBEtyrg+d2Oq/Rc
+VjhQ4W1sLGdFdyDb+O6Sz/QSAE/hkNlhtMMnucWM9unikBg4Y4D15zL0MB1
x3sxIRoYuYgXP7/eiSqKkfrt39PgIrfVzlTKEH7gueLk/E0KvJZOSTkrM4ev
RI2+DzBFoMJfKppFysYtqzbs1TaiwdsLrut1Ho3jQfHfBSX/o4DXmntqPZF/
8IZxue8cRQr0XEdHkqsX0deN1wXEphkgWcof49c+jPZvv7YlSIYOK+JsAc+I
FfSJU71qzzkmHHWyedzBO49GOCkmOsQxoPXL9a88R3+jlc/tZFSy6ZDT1FVI
N55FOR/Mn63fyIBr1gcPmtnzYa5Nd3UtU9kwbvtT222SB3t0ucPHPZ4F2SVH
kSt3ubFb9TNSJdUsyBPRbhyw7kPjtsvmK6ynQ4ufxuOHqlxYcbKsEbcEC0LO
BXtb+k+hHeb9o7+MGFD3IEvirYkIpnDn8sSVRA74hF271PZTCBM/RJIdiONA
Kl1nPM2dhh0wL9u37pwEjImbbDl2gor9O+8vkl8jDrak8X2qhfxYD+0r7s8n
CvR8WyUxMTrWxro6ydclASe2/GbfrqZj6ry3FXJJUqBqrvCZIi6AbfoiG3Ju
ryg8a+u5k5hKxipLD2VIl4pBMYm5cfkCA7td4PjZX0MKHEdkvYIFKNgjz6wB
aW1xWNtymz1zURALiZO866zBgSm1eU1JBw7G8b+S88RHDmx6a1U+YmxspU6i
ofaHDPQ4saxPqjGxuaqfvTfVpUE2afqF7hQb8z+xh/v6FVlwVvtee4ckhrEP
nrcdrJKDgn6xBrsIFjZ05LHi6lYZuGtCHUhPEcWOzlaJPW+QBa1zbRG9EhJY
nIOPe3rRGti1qHmzu5OJVQqTHj7MkAZRv+TbDnUS2KUcb28271o4ONhEXi0S
w+qeTWSaCq6B2tCJbT7HxbH4+0lL9Vpr4LFGnlfVZUksXebsgY79a0Gw4XOa
gaYU9n3dbH4X0e3rbaCu8xEfpOzcJta9QoYae4+35Sv80DTOaaxKI0PSEYua
L3MjuOUrsvfSCgJp3i1+pp9n8fd6Z/GYXAQSer21Rb9yAy3ip1V1ARm2ZboM
C0fN43bqcw16LyiQ9rVzdUGPFzjxzk7RRmSYHK5A42X+4ejR7AIHJQTCyjSO
vDSZxKlHVhuQcArYhxsHNTkt4U15bZSPLQj4UjxeBghM499TIl03TyBg8zF9
acMZLui3detfcUGALCj/dYtXPx7sIqoc3UeBxpDUpyaZLXjeYrNCWR0V7mgz
xufROJQ63+y7PpQGG86JmmzXrUb54m8FNm+jAWVs1wGzvDa04KLz1/eXaLDU
ika0XBxDk2unZlPa6LD1VbKc0/suXCT6jUlZCwXKMzH1TUof8IHBffKTNVQw
lmv2yDvyC5U1GB1ZeUc8z7kfk8f7B6X8LPf+XkOHB7VulaaTA2hYx6sIAS06
KNMjBn2rp1EZoQ8vM44xoJBhnSKqy4MJOilMP65jwY8v7A0bm7mwj/0TjjrX
WOAhM+LYKrGM2kxYLFElmMB7t13xSfc/NIQdrDttxILzgtJVIg4L6KHYbZU3
NzDhmOLta4txvBgtIe7+YCQbnFxaJstdSNhm69jpmiOisPGpyOHn7wWwSPPi
A0KGHFjZk2XXtcSH/YorEV2REoW+/J2mYQpC2JHzCeKS5Rx4fy27xzTiL2q2
6XT14jsGBO28d+FUiDD2naSnaGcrBgGk+EKpHApWvjbO78EXcWD/Z+ZzxIuO
UT3CftlXSkLLWGSO/YgIxjHicC2cEoP0snX6UyU0LEa636B0QgJaubhfBwnR
sKUH6cXi9hKQrVmzVt8awRKO1sjRNovDL3Oa484vDOwRe2BrykZpuGih/rZV
moGV7g9QW+cjBcX3yZKJvSzMYHH7msluGRjgE4wrCWJiiW4Wek0HpSHhQRub
Hs3G1t60kXRPlAX7Z/KNahtZ2LRB/7Vz3DKgYDU4d227KHbBY5ntTZWD++M8
G2bnRLHCtwNrLM7JweVXTdei1Pjhxc5SpfZPZHiwkaqqf2kZ7zc2FNReocDz
iMS2GnceiNlSWB9qgcCucEcZQUkyVPlGXl/5Rwbn5/xZZwoX8Ic2BvsubEZA
XsYldv+UAPyyHrH/9IIMjj4dCQO83MBXqDWI6iKQfZWakl3NC6RgBcMpUQq8
Cs3RlC8WhnVvb7WVjZEhKHjHWT7TVbzPq1tmIQ4BVVq9G+ogBNF8pj/L48nQ
vBrn4hdBgve5UYG9WxDoGvzloGadjr9h2aSSjGlQwaI7JhuP46W7uPV/LCDQ
ISdU3606g3d89YPc2wh4OzlVsPMHcZlj6/ewqVQQsL64FKzcgzu/XvfNikGF
6rBy00SFZnR0iU/ZMZwGKzHmGpJH/+DUH0odO5IpkJK/hCxLABr7Md/6zAka
2CoXRdwxqcMx/683xlVpwB7a8HZArx3Pqq8gJQjQwO90yc0cw5/o1XyTQisO
HSgLPloZk3/xsnTjXLMyhNDTwn+MZ1OofvbaS+2Ef721YyrEwm+06Z1KietW
BlR93YSemFtEe7al7fAKZMI3pQAeHp0RlGvVS/K0Dx18JOMNTmf0oc+nTN5I
/Uf4n6plfLvnLOqcv+fNwXAGZLtLcrmlcmMjtEA5ndcsOJLzJih5wzy6I1Ol
MdKcCdPavl2bylZQJQFR8VRFFrTI9929bMKFNUt2MGQPsWAZSeKonuDD8u/f
4ba+yQbXAKeubQK8mFbBe9Hhk2ywzUu2pnzmx1ozru8yChMFldl2fEpTAKMV
djxq+SIK66roAqWzQtjnCnvpeZoY1GGHkEQnEczgYtz1U55ikBYcFxj8lowh
d2XNznKJw2xtln1bpCAWVV2QF36cA6f3nWAek6FgY7/z/3ysFQfarSzZ2/J0
7NKr6AuMFEkwctaytLxKxeoifndV7pMA33MPji+30LHxhmfJ5tpSkDoYMcA5
Q8Pkfg2lcw1JwAG//46cvMnAxCWUPkiGS4FNw+1Au2Emxk1/ZzSiQfidxqnt
3XpMbDas5qx9nDRcyl/Xx02nwinaM7fmaDKE//A4Pm1Ag82p6EpvFQKTO1st
N1uSQe3gx8ST8ghYdFjonbkhBBtHFhqOeyAwt3k7RyYbgeLG4u+qWggkqdKZ
e4eEQeVkUy5djwIK8Xb2Hw/wQyt6edcXZQQuvghxvLtWEPraJDjcKgicK+Hc
ycBJIHmq+8qaHjJc+LcoJKbNDT//2PikVSDAqQisXozhgSXZgdpvXAjcHZOc
6F7ghYbEDWghHYFMG7eH7smr+M1iXmOtw8R6vgu6CT+W8fEwwRMqRH3LXf4P
KLvn8GvXyJYaWyggvfzSPfDjH7zFcKopIJECsWMGsd9EF/ETlOrk8GQEGq9K
We4Mm8EjnMVrcjZSAE0M0Dy5Oo5zzZgc/cxPBcHz9bOdZ4fwTUXeFIESCuRV
G8daD/XgXjxRGVu3UCH60od4vzcduISDS6EPiwYm0SvvX5h9wcX40cH6VCp8
jpU8x1LPw/P2jrWuOUCDwavfjbI0S1BLVDJ3x1Ea4NfpExlDvWijxv6RCKLf
Lea0DlFSGtGNtsxd9j9ooJb52l3/3DAaI/HyDAXoILLraKp+yQ9UcxgyfzIJ
v3odqVmzOoFeumfZHzJDB8euG76+IrNoaOtrMyUmE9SDtra+2DaF1i/bctuu
ZQBlqi3PqHEOdc19ZdIpzwSFJ+BQf2AFDam2OnOExIJyv+2xpNhFtC7evfP0
XSZo9CoftqRzYbfvGbhZ2bJA+emmxHkDPux4q4rL3zw2BIeoPtQ8x42ZNEYH
H6xlwTcnudpUN0Gsy2D2lb0PB/6xh51glYRNhLGDY2kcOFhzSITVxoNlPKVr
Z4ezYV/8Q7vOeH7siFNsQccZUbiQ+lxsdxgZW8+JblvZIg57Bn/e1plAsICl
gl3egeKQojnlcuujEGZ4qjo/boMYyL7LkZHYTcUKRl6lUcwlwEejOMZrnQjm
p3Rv1wIuBrOH5IVXnWmYa/DQljUkSbgovmnstAgdMxtsTJaKlYTVj9tKzo/Q
wXnwFn9oBgKaW6dMeQ3o8DraYnxkiQxNkpHjxi+oUGArEMATjsBQiY1ibykd
O1HerFV8SArGSVcP3A+hAdekPGOS4B+1l6R23wEy7E0fKs3URuDaSl3BPnMK
ZDpeNNXiReBg4NaF+8Ei8PRrs8PaN8R9d5vVs+WEIVgI2VTTQYZTeFtE/z4B
MDE1UlNYJMNCjKHn6hw/HEhJW2WWIEA6RZmtLhMEzUZFSk06AvsbC7Okovng
uHTqFXYjArqLXhN6G3kBu3IZfUfoRSpcv8z+Cze01BYuvitFQKPaafy0Fxek
vVuTNJiFwOHz2vvhPcGH5aTxBGK9X08VM0ND5nFyWHqiHIcC+I3JNg7zH17F
qa8dvYtAtPKD8N3WS/jvYMUMX3EK7Ox2MZ5fmsJL4m/qjBpQIUGYQ9XSncSP
lsxJRgdRoFlot0N99wheVOBMcUep8C3nZJGRQz+eLN/lrR5EBb7L/aonorrw
f/prR43dqfA90POYwZrHaEmM+FqeKBrEFXoYb77Ugn8bNvYyr6JCOLrfWb2m
HN/h2BJ9gtAT+URKetHFX6iaxHvr5Qg6bC+7g1t2t6HqFHSBC2jQ1xcafzCy
GuU5x3djuIvIjwWxijsEBlGbgZuDZiZ0MLdyPaVN/YMK17UplYszYN1ZKfeO
yDH0zkRla+M8HR7Kfbt213UBbQ65RV3vxYR/jfX2Ky3TqF8YVnDjEgNMjndO
OCgtoy7nN9uvEH5zaG4n4+Ojv+h6uZ3dAUsMmJ2wbJYZ+4ca77mX+yKYBdvr
/Vamv3Fh/CuK+9srWCC1Vb3obQIvJqBsEGWlKwr+1Z053wx5MP1rffWCfYQe
D+iWXT9CwoqnlvtNY0Th740jKknc/Jjh3D8//22iENc46mulKoRZuCElhz9z
IHz/8oxHlQBW6ieVoqPJgTMs+WGtu8JYwEb9sYuqYmA0OnOJPSmC8QTKhtqq
iAPLNVO38zUFa+8q367rLAFCf26fWbBDsDWDhzzfPBYHv8bTLa5kGhYaeLRk
pFkCZPVz7ys+ZsBjGuWHhi0CnUtoVv4wHUrtb+aI1yPQzhP60USfDnvwTH1t
Qge/S/iE4qyY4Flnte8CwVu5ZxUzvtykwfqqKP/5x2Qgx173fZtJhetjX97d
tCeD8fH3Ma07KCDLitV1DUBAz2937VQfGdLX+gYkoAgMOt2JpFwTAYuTSXnP
NhL8luGgriorDON33GL5ifOOoDeCZqWCgBb6tK8l9Lblrbb5IWcBoKl2l+Qt
k4GS33r7tRYveKqkbmr0QmDFr3BfXBQfrHkdGx7oTfhP30jYpb/8sH7L6b2a
jmQANd9bDZ+5Idp0ffbdp2TIWqk6Mn6CC+bkc9fRohBIPr+mn077h3d7Huvs
fomAorlWjLnFEn7rg23v47cUcPnJsHjzbhavPRz3sc6ZAsIF+wKuXp/Hg/g2
7JsdRiDLKfXo5PwULmLH33BeiwLqavmi6zZN4pG5khSrAArUX1sfrbmrH5/L
r/t2PJLgu9hjDvTTLfiJ2CuqOceowO9+IqyqYwT/+sruFHKcAp8n4uMMQ7rw
mmfp/wncp4JmX6uBd89j1FWPEdlrRAN54Vc1DzKr0UDm19OHj9NA6Y2D4Vhu
Od5z3yrGRo8GSRLYf8fH2tCMb56eK/U0eFarMFl19RcKS05uXqZ0oP/5dGwv
Mog+Vt43OfeaDv7LaRuG4sZQ0Q0vf9MIvSTKW7cZMv6gE/VUicWjDGiz+rGD
79s0aiv3WEngJAO0JW3jog8voMhtGa6Lj5igheNK637/Q20+OFeG3GVBUPSv
/Lonf9GJ2I9fWgh/qvk0jbuoLKN75pWTy/hY8OtMsSyWxItFdLpZrDEWhS3O
r8T9OrgwTnLaf/GDLMj2ueIoz8uPPYqX2Mv2EgXR+IGw/UY82IvCqx/G5lhQ
POjdLuBOwsR7EmLn+kThILdfV8N6IcwDcZOVr+DAOgHka0G4MDa+u0Fr9oAY
bPJVexj3RwTzPrv21+FfYnBfNc1y7JMAJiqtHbrZjwPIm8Mil/cgGGZMuu3U
KQ7qzS+snvmz4NwlLqOGKTK42Dp/3VTFBK5Xds7kbjJIsoYm3rOZUCV6Kurc
dUI/dYIRC7to8KGvbKPxDTJwJLWEbI8wwLnCelx5gsjfYZ/HOvPooDPtI3XH
CoGKwyP/PLnp8DeiNdhnPTG/b/0QX9+BgEyietObQDLUtacVbPcjQ/DfxKzU
TQjkP39qRzWiwryuAb3eE4G9uUL3XFkiYJpmupy8leC40esNl3OFgO6kxbUz
E4EHLEPmQxtB0NKw/nTxDxmMDlbSxhX5YMu3+tq9qggoa4iNCX3ggZPHnH14
JxEI61ViNIXyQxWedyHnOwIB6aSeglES7O65mWV0gagrsyH12uIqvslR2XeN
PQI2o90Biq7cMPr6YO95ZwQc0XynqZOL+IBE2IOvEhTgYS+FlGiv4IekS52v
6VMg9Y3ZOZWMOVxGMUwi4jMCSnftFQ/1zuD+V37puMlTYCnKoSVeegrPdv3Q
1b+G8Cszr7ynryZw84MfU04uUcAXma26ENeLt4+fyUVGqLBj6fkej+wi3H2u
4UCIOQ2cDCKGqQrDePn6yq2/SqiQxO5zL+NpxCuEj7BczhN5x1XNqUP8B644
H1adMEWF3/sWI1nZBSg6siEuOJ8GHsxPaVmmDajRG7+Jok4aoC602E/O39Gm
LLKf+BwNbm4+yvLV70Vzy4pbE5LoUNbmdyZm1wR65vP421prBljfcL7PXzGE
ur4Rl2h/RIcQbZO0qPE/6D1/DXlJRwY0etjnKgbMofRt7povHJig5yIr9tt4
EWXLWiWWHWSCYcmrWwfyZ9AX1VdcPJsZsLFNTehKzSqa76pn1pxB5CPTY3Hy
O7kxadNAc5sGFhgWSduNInzYOnTffZ9mNmw00WggZfFgfHpT9y/8YkPg7ncK
r/lW0Ee7bDyzJVjQ3aDkVNBMwv5I3uefEOAAe3FPxZfT/JjMkZhejQ5ReNFa
ah2nK4j1DpxykpEk9BHKvO66LIwlfWS9WNcmBkXbftAvPRTCjDxqdGKI674T
k5VbiHVN0xbbl2uJfOHeWuFUxID/uLJ+/JBEQP853ePcHjosjnVLYAT/nJnV
/1VzjAm0jTbzHnlkCH35WmHNZTaImlC3VtMQkDWebh3gZ0CY0XbU/gDRz6pu
L7MJDg14SRUwfkcGMeOJarleKihdyumWuYWAdrbzVZ4UGtQ+2R/6k4zAyaSY
oLMlImCua2C3MxiBndVWH8IdhUH5JzxPriXD1fCiI1sIjhFPStwirYCAiLsk
tlcagVM+VeO/+QieOigWmTkjCBcfdi6JyiCAxemXV90XgJon/O0zOwl996jE
r9bywZ6q2Ac7CL6aon8jMhkJYnV6KkUwBHiSplQkj/PC5FlFLO4foW+hCzx6
JB7gOOu0WUsQPIdSZ+xSuCBybG9OPo5AeXprcWfQP9zvitHneEKviPyxFtbb
JfwwJejlhVwE2KTRPdMpk7hCdeX1kjEK3Pvre8Nqdh4fDt2OnXiOwNEVf+1Q
zb94clN3IK5CgZowZ4PS49P40bkaxcc/KWDRbRi6u3QUj0FA6GgHBdI6i8/q
pHXjm8GY1rOHCjTeg2MftAbwD96s0bv5FPBLLXLYsakV33fVQyFdiQYd0glF
tvqVuH3tQyYviQblguaingLauGF+9L0zbTQIyGM0aiR1o74H7fs779Dh2Jct
6cYqragAw7aXLEyHYb4Nefj6AbR+QHgmi7iu4sOvrqtQido/VkH0EoicGmN4
27ZoFC3pcGwI/UIH1tCjiuqpefSGzthOs2QmNNneUfF5Oomu7EXjksIZ4PFP
c/dmj2lU28JVudGQAZ9nlop41f+iFhImCZKGTPhP8mXD/iv/0At/XDxlbVhw
k4ecPMvHgzX4SEckBbOh2lsoI7J4CY3aVlQeJ8QC121bWR0evNjQkhVeWcOG
S3ek5OjJXNgX0sTUHxk2zK3JepKsTsLG0wVYl4dEged+zaGb9wSwy8fPVPBE
cWC9FDv9XQ0fVhnixcG/suFHM3fLiWlBzFsxq/lSLwee8UpuPnxYFG7Y30m0
7CXmsdneH1e42OBrd3rxYw0CbUFV5ZO5bDj1tTGI/heB46WGHY+eMOHi790K
/i4I3LNM+EveRXDmlFnp/YfEvF/xvVS4mQG/Py0KMok8bceHx5jdokPXCwcZ
Vz0E/pN+v8OV2LeZi9zVtplkWH/+wIUmYp+2XaP1VRJ5weiB09i6MQZc7zns
IbdA8I/Voay5mwi0svJf630j9MIYONExTAGfUbEwsdsI3DjPmWAokKF0gHGo
rB2BS2a845YuQuC9NWjX5zgEPIV6SzXeC8Pwua/lRj5E3nqXPOq+JADTfhpV
m4j1xCNmKoPjSGDzIu9x/n0EuAvN1N828ULBT9ppUQcEQi6uqEjvWcXjSCML
H+wQQK3K9iTq8EPkq+cyXUT9CVy6AtNkbrhnbXx8ikXw1i7y9z3hy3jqhsQK
mSkEzo62y7Sd4oHtMidWPhD/L8IlKHNpywwumyD5x5mo16xvIryCZw4XruR2
9TlPgS4Hyu17nxZw85vTmou+FEjcmS++we8PXkElLbXuoEJceK/M9rZBfFfx
2Qz1UCrwFoTEtriN49KHr1sIuRH8FUzaW2DZg7dQivb7G9BAmLfBcsuPJjQ2
p3NouYkGX08r5JkHteN1cvbxl9k0iLSI/rfhXibe3KuY6rmHBruGdNy2N9Xh
2Y78PR8uUWH19ZMd51k4+jP0MWvbaxq8mhx/3kgbQVfzB1x1qQwYe06muEx3
onmH3TLKNIk81E/rQm/0oelJcp7uxL7bx7u7LUVNoU9uRBfK/8eADkuducPx
v9HAnIrLQsYE10fwn3rvPIu2txesPie4fRf7nP1t2Xn01rk/leQLTAiElBHx
rBXUKsajeEWEBf3lnIv2/YvoLUOn1muEPuQf+g87PObGtr6dxtpvsMF8r4mf
jz4Xlr36Ftzl2TBxyuLy5n88WMub0e6pPjaUnO8+I3OID9PRWLs6qSYKCR3+
0V82cICs/hYbFKTAx75VXZ4KfszJaph7WpYDicp6GQNKAliHj5CzhRUH7kgW
6I3Ws+G6Z23fl2QEQtcu7w6QZoNTzrhjCsEb9Y6KMgeDCA6sM1dpPIuAa9RD
HQEvFpg0K6GbBRHQ8SzcEV3ChIgHdsm6xPy2aWlpWyvEhFGl4ckUYv5afJea
yiF8uE1txpmH4JW1ViVfjZ/RIXQqzdvnEaGvGZmUuhlCL6/GypLLETgv35w6
CgisS/qWvGU/kb+7G+45b6XB7wmuiTKifx8tSrk1yFOBun+sOvgNwUdeLslo
nBDU2QQfymslg9fUuxSFJWHoqzsnpauEwORhrr6oU/xQ/G3jbqYeBYSMci4f
0BGElcoZ+zsfEdhXlHBWwIUMTvs+N+ZdIvS06C/i30QCWQFzzxbifW4Po7++
IvOBoHVDtxfhD/meJZaD27nBUkVmh5EaBYYyg3eSPq3i4zc6FC0sKHA3+09Z
bQYPcA+dPmgVT3wv5r58fssiLuzL5ab0mAJluTfmTHhW8NpPF39fCaXAyZI5
zkvfORyzwzSn5xHYs71pId1iApcJNKXINlPgl47hG8nRP3hT/IGNvqkUuJKq
GtKTM4M/f8W8XQsUUJ7kKgjZ1Is75971vnqECmmH5weGdn3H7UMLltfGUGF8
86wWBx/Cb6bm1BqlUOGP/mrdySe96DGDBUaDLx1qxHJma/UbcJGu+IukeSqc
0dd0iiM3otbzjZQ3qzQwtalx7PhahLYORJ1hc+jwW+BbxNObBbgrqc6lI5kG
0g+2S3GrDKP7MtVU36YTfrLfTLBE/gfqz//3LSOIDiNBP4ejCiZQgzPS768r
M6BsUzg3TW4KvZeU3J79gAGn3yz3f+ufQVvrityUBZhQYCtydYPeCtqNmanx
rTKB5JGEJGfNofvLp1WpO5jw9Ija5WM+i+jVkT3cAnlMqK1SKN1WwYM9fdSv
5V3JhmOtAUcXl1fRDfpM7mOtLMgJuDiF3ObH9mw639vYKAqtumZBKsp82CYT
38+Oa0Vh9X145aFD3NiFSN6ghp1s+B8MdQLq
"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.0055000000000000005`], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwV1Xk0FPoXAHCRPVuZfTEzoo0eWh5F1mpCWVosgzT1hDRe2SqltNgiHrIU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"]], LineBox[CompressedData["
1:eJwV1Hk0VP8bB/Bp7Mu9M2Pmm8yUYlSWUklpUXNDIkuRsiWVJBRS+CZ72cqe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"]]},
Annotation[#,
"Charting`Private`Tag$15472038#1"]& ], {}}, {{}, {}}, {{}, {}}}, {}}, \
{{}, {{{}, {},
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6],
LineBox[{{-8.148328268721585,
14.338295909914343`}, {-7.454951543771383,
12.951701995815505`}, {-7.049256862033267,
12.140472245265205`}, {-6.76134518668051,
11.564808584642831`}, {-6.537972003208561,
11.118221984934262`}, {-6.355420784986974,
10.75327939290762}, {-6.201040414458367,
10.44467857346531}, {-6.067279301843439,
10.177316347069238`}, {-5.949266516907149,
9.941450853260923}, {-5.843676222671906,
9.730430418109007}, {-5.7481362349810565`,
9.539510673317471}, {-5.660895020791119,
9.365188552817028}, {-5.580622446598917,
9.204803789617298}, {-5.5062845785954995`,
9.056288516122038}, {-5.437061781922976,
8.918003462632262}, {-5.372293306256977,
8.788627128516593}, {-5.311438700562896,
8.667078611724552}, {-5.254050273486147, 8.552462529564854}}],
LineBox[CompressedData["
1:eJwU2Hc8lW8bAPBjz3PspFJKGU0yEpFRGYlKlJSMlJFkhYh+ZBPZpYSKqEj2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"]]}},
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6]}, {
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[
1.6]}, {}}, {
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-6.339416822971297, -9.834239220428765},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-6.339416822971297,
7.046118345915609}, {-9.834239220428765, -3.530070009455368}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
FormBox["100", TraditionalForm], {0.01, 0.}}, {6.907755278982137,
FormBox["1000", TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.703782474656201,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.991464547107982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.396929655216146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.551080335043404,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.684611727667927,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.802394763324311,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.006367567650246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.294049640102028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.699514748210191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.85366542803745,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
8.987196820661973,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.104979856318357,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.210340371976184,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.305650551780507,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.392661928770137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.472704636443673,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.546812608597396,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.615805480084347,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.680344001221918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-9.903487552536127,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`",
TemplateBox[{"10",
RowBox[{"-", "5"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`",
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-7.600902459542082,
FormBox[
TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`",
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm ->
SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01,
0.}}, {-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-5.298317366548036,
FormBox[
TagBox[
InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.819778284410283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.41431317630212,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.126631103850338`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.721165995742174,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.567015315914915,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.433483923290392,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.315700887634009,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.111728083308073,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.824046010856292,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.418580902748128,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.264430222920869,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.1308988302963465`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.013115794639964,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.8971199848858813`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, {
3.799278280790374*^9, 3.7992782900937853`*^9}, 3.799278351439066*^9,
3.799278389225691*^9, 3.799278514536735*^9, 3.799279638687525*^9,
3.7992802283585567`*^9, 3.7992802816319723`*^9, 3.799280326016467*^9,
3.799280361536272*^9, {3.799282857616042*^9, 3.799282866676395*^9},
3.799283537427549*^9, {3.799295371728037*^9, 3.799295401244904*^9},
3.7992954329027147`*^9, 3.799323069206291*^9, 3.7993231021605473`*^9,
3.7993231503859367`*^9, 3.7993235402062387`*^9, 3.799323609439889*^9, {
3.799323822285715*^9, 3.799323835257081*^9}},
CellLabel->
"Out[1391]=",ExpressionUUID->"18319bec-61eb-4119-a854-87bc66e11267"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A_", ",", "B_"}], "]"}], "[", "X_", "]"}], ":=",
RowBox[{"With", "[",
RowBox[{
RowBox[{"{",
RowBox[{"Y", "=",
RowBox[{"B", " ", "X"}]}], "}"}], ",",
RowBox[{
FractionBox[
RowBox[{"A", " ",
SuperscriptBox["B", "2"]}], "\[Pi]"],
RowBox[{
FractionBox["1",
RowBox[{"9", " ",
SuperscriptBox["Y", "5"]}]],
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"-", "3"}], " ", "Y", " ",
RowBox[{"(",
RowBox[{"3", "+",
RowBox[{"13", " ", "Y"}]}], ")"}]}], "+",
RowBox[{
SuperscriptBox["\[ExponentialE]",
FractionBox["1", "Y"]], " ",
RowBox[{"(",
RowBox[{"9", "+",
RowBox[{"10", " ", "Y", " ",
RowBox[{"(",
RowBox[{"6", "+",
RowBox[{"7", " ", "Y"}]}], ")"}]}]}], ")"}], " ",
RowBox[{"ExpIntegralE", "[",
RowBox[{
FractionBox["7", "3"], ",",
FractionBox["1", "Y"]}], "]"}]}]}], ")"}], " ",
RowBox[{"Gamma", "[",
FractionBox["7", "3"], "]"}]}]}]}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.7992864929128017`*^9, 3.7992864934010773`*^9}, {
3.799294959002634*^9, 3.799294959113867*^9}, {3.7992954856104107`*^9,
3.799295498642445*^9}},
CellLabel->
"In[1392]:=",ExpressionUUID->"029c50a5-aec2-42c8-ac11-3a4858720a4d"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[ScriptCapitalY]3Dtmp", "=",
RowBox[{"Limit", "[",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",", "B3D"}], "]"}], "[", "X", "]"}], ",",
RowBox[{"X", "\[Rule]", "0"}], ",",
RowBox[{"Direction", "\[Rule]", "\"\<FromAbove\>\""}]}], "]"}]}]], "Input",\
CellChangeTimes->{{3.799287299636573*^9, 3.799287338355678*^9}, {
3.799295515739479*^9, 3.799295522211536*^9}, {3.799296630684188*^9,
3.7992966315015707`*^9}, {3.799296829354424*^9, 3.799296844345419*^9}},
CellLabel->
"In[1298]:=",ExpressionUUID->"454b880c-47eb-4e4d-8978-3de860e692a7"],
Cell[BoxData[
RowBox[{"0.012725299867596046`", " ", "A"}]], "Output",
CellChangeTimes->{{3.799287332585656*^9, 3.799287339122821*^9},
3.799295524097727*^9, 3.799296066680077*^9, 3.799296638005451*^9,
3.799296848111058*^9},
CellLabel->
"Out[1298]=",ExpressionUUID->"cba38efa-fcdc-4bb8-942d-1e8a7104663e"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"\[Theta]c3D", "=",
RowBox[{"Sqrt", "[", "1.16951", "]"}]}]], "Input",
CellChangeTimes->{{3.7992956232358637`*^9, 3.7992956519008923`*^9},
3.799321930514514*^9, {3.799322092534127*^9, 3.799322094532309*^9}},
CellLabel->
"In[1323]:=",ExpressionUUID->"f9f845e9-c36f-4e5a-bfe9-292fc44831d1"],
Cell[BoxData["1.0814388563390904`"], "Output",
CellChangeTimes->{3.799321930743856*^9, 3.7993220949020042`*^9},
CellLabel->
"Out[1323]=",ExpressionUUID->"f32bd7b5-2803-49b2-b2ee-6f88c2b73632"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData["\[ScriptCapitalY]\[Infinity]2D"], "Input",
CellChangeTimes->{{3.799322639140359*^9, 3.799322642449197*^9}},
CellLabel->
"In[1324]:=",ExpressionUUID->"98b204ed-d23c-41e5-b6fe-c9d0386b49c4"],
Cell[BoxData["0.0705989937089022`"], "Output",
CellChangeTimes->{3.799322642613366*^9},
CellLabel->
"Out[1324]=",ExpressionUUID->"14b1747b-7506-46a2-b1a6-6f6e681f9806"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"e13D", "=",
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"Abs", "[",
RowBox[{"1", "-",
SuperscriptBox["\[Theta]c3D", "2"]}], "]"}],
RowBox[{"-", "\[Gamma]3D"}]], "\[ScriptCapitalY]03D"}], "\[Equal]",
RowBox[{"Y0", "+",
RowBox[{
SuperscriptBox[
RowBox[{"(",
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", ")"}], "2"],
"\[ScriptCapitalY]3Dtmp"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}],
"[",
RowBox[{"2", " ", "\[Theta]c3D"}], "]"}]}]}], "/.",
RowBox[{"{",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}], "]"}]}],
"}"}]}]}]], "Input",
CellChangeTimes->{{3.799293306544406*^9, 3.799293348282279*^9}, {
3.799293389378928*^9, 3.799293465516193*^9}, {3.799293496245105*^9,
3.79929353236604*^9}, {3.799293944292547*^9, 3.799293948619625*^9}, {
3.7992946328154297`*^9, 3.799294635157052*^9}, {3.7992947681206636`*^9,
3.799294788279757*^9}, {3.799294833171996*^9, 3.799294834368535*^9}, {
3.799294883394321*^9, 3.7992948873526077`*^9}, {3.7992955323801394`*^9,
3.7992955334357758`*^9}, {3.799295654581544*^9, 3.799295707518375*^9}, {
3.799296072308981*^9, 3.7992961034372272`*^9}, 3.799296432792838*^9, {
3.7992966268810177`*^9, 3.799296643414949*^9}, 3.79929687157719*^9},
CellLabel->
"In[1301]:=",ExpressionUUID->"df638158-aa8b-4fba-b5d3-00f11ac33898"],
Cell[BoxData[
RowBox[{"3.889266018137855`", "\[Equal]",
RowBox[{
RowBox[{"1.6151797823173761`", " ", "A", " ",
SuperscriptBox["h0", "2"]}], "+", "Y0", "+",
RowBox[{
FractionBox["1",
SuperscriptBox["h0", "3"]],
RowBox[{"0.004489885382652656`", " ", "A", " ",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"-", "3.6232038623578156`"}], " ", "h0", " ",
RowBox[{"(",
RowBox[{"3", "+",
RowBox[{"15.7005500702172`", " ", "h0"}]}], ")"}]}], "+",
RowBox[{
SuperscriptBox["\[ExponentialE]",
RowBox[{"0.8279964677581617`", "/", "h0"}]], " ",
RowBox[{"(",
RowBox[{"9", "+",
RowBox[{"12.077346207859385`", " ", "h0", " ",
RowBox[{"(",
RowBox[{"6", "+",
RowBox[{"8.45414234550157`", " ", "h0"}]}], ")"}]}]}], ")"}],
" ",
RowBox[{"ExpIntegralE", "[",
RowBox[{
FractionBox["7", "3"], ",",
FractionBox["0.8279964677581617`", "h0"]}], "]"}]}]}],
")"}]}]}]}]}]], "Output",
CellChangeTimes->{3.7992966440363903`*^9, 3.799296872453184*^9},
CellLabel->
"Out[1301]=",ExpressionUUID->"23c1b6c7-ab06-4221-bdce-dc59bf15e488"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"e23D", "=",
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{"h0", " ",
RowBox[{"g", "[", "1", "]"}]}], ")"}],
RowBox[{
RowBox[{"-", "\[Gamma]3D"}], "/",
RowBox[{"(",
RowBox[{"\[Delta]3D", " ", "\[Beta]3D"}], ")"}]}]],
"\[ScriptCapitalY]\[Infinity]3D"}], "\[Equal]",
RowBox[{"Y0", "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}],
"[",
RowBox[{"(", " ",
RowBox[{"\[Theta]c3D", "-", "1"}], ")"}], "]"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], "B3D"}]}], "]"}], "[",
RowBox[{"(", " ",
RowBox[{"\[Theta]c3D", "+", "1"}], ")"}], "]"}]}]}], "//.",
RowBox[{"{",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}], "]"}]}],
"}"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.799293535329914*^9, 3.799293628024756*^9},
3.799293710287335*^9, {3.799293742130342*^9, 3.799293745305656*^9}, {
3.799294643782908*^9, 3.79929465041063*^9}, {3.7992957198708572`*^9,
3.7992957645193663`*^9}, {3.79929703842138*^9, 3.79929703960491*^9}},
CellLabel->
"In[1304]:=",ExpressionUUID->"c0c46965-f82b-4e8b-88ed-f4f28f2c67b6"],
Cell[BoxData[
RowBox[{
RowBox[{"e33D", "=",
RowBox[{
RowBox[{
RowBox[{"\[ScriptCapitalY]03D", " ", "CpCm"}], "\[Equal]",
RowBox[{"Y0", "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}],
"[", "\[Theta]c3D", "]"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}],
"[", " ", "\[Theta]c3D", "]"}]}]}], "//.",
RowBox[{"{",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}], "]"}]}],
"}"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.799293635739888*^9, 3.7992936811455317`*^9},
3.7992937131996727`*^9, {3.799294654615035*^9, 3.799294705980193*^9}, {
3.7992957832084217`*^9, 3.79929584176059*^9}, {3.799296445244162*^9,
3.799296466819972*^9}, {3.799297041741557*^9, 3.7992970424849653`*^9}},
CellLabel->
"In[1305]:=",ExpressionUUID->"8adb6e30-20f5-45cb-9c55-4ec95d9bb1e5"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"s3D", "=",
RowBox[{"FindRoot", "[",
RowBox[{
RowBox[{"{",
RowBox[{"e13D", ",", "e23D", ",", "e33D"}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"h0", ",", "1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"A", ",", "1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"Y0", ",", "10"}], "}"}]}], "}"}], ",",
RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input",
CellChangeTimes->{{3.799293682172894*^9, 3.799293695216408*^9}, {
3.799293760299116*^9, 3.79929377307885*^9}, {3.799294719711046*^9,
3.799294723430684*^9}, {3.799295847448813*^9, 3.799295856984758*^9}, {
3.7992963975231113`*^9, 3.799296410962158*^9}, 3.799296654536236*^9, {
3.799297045125246*^9, 3.7992970467965803`*^9}},
CellLabel->
"In[1306]:=",ExpressionUUID->"82226aa9-8b56-41bc-a924-e2b08acd3ef1"],
Cell[BoxData[
RowBox[{"{",
RowBox[{
RowBox[{"h0", "\[Rule]", "0.6774547688778286`"}], ",",
RowBox[{"A", "\[Rule]",
RowBox[{"-", "1.3758082418801523`"}]}], ",",
RowBox[{"Y0", "\[Rule]", "4.933840639282916`"}]}], "}"}]], "Output",
CellChangeTimes->{{3.7992937014548283`*^9, 3.799293718387292*^9}, {
3.799293755038495*^9, 3.7992937735332413`*^9}, 3.799294673540114*^9, {
3.799294717062633*^9, 3.799294724300838*^9}, 3.799294895103196*^9, {
3.7992958488125677`*^9, 3.799295857271027*^9}, 3.799296077247851*^9, {
3.79929639785399*^9, 3.799296411177785*^9}, 3.799296446169361*^9, {
3.799296649378996*^9, 3.799296655062509*^9}, 3.799297047237068*^9},
CellLabel->
"Out[1306]=",ExpressionUUID->"8b88c908-da54-4063-a248-e83bf5464ee1"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"func3D", "=",
RowBox[{"Sort", "@",
RowBox[{"(",
RowBox[{"Reverse", "/@",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{"\[Theta]", ",",
RowBox[{
RowBox[{"h0", " ",
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["\[Theta]", "2"],
SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}],
RowBox[{"\[Theta]", "/",
SuperscriptBox[
RowBox[{"Abs", "[",
RowBox[{"1", "-",
SuperscriptBox["\[Theta]", "2"]}], "]"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]}]}], "/.", "s3D"}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{"\[Theta]", ",", "1.0001", ",",
RowBox[{"\[Theta]c3D", "-", "0.00001"}], ",", "0.00001"}], "}"}]}],
"]"}]}], ")"}]}]}], ";"}]], "Input",
CellChangeTimes->{{3.7992951544690027`*^9, 3.799295210246323*^9}, {
3.7992954268105373`*^9, 3.79929542921747*^9}, {3.799295911394224*^9,
3.7992959366660748`*^9}},
CellLabel->
"In[1307]:=",ExpressionUUID->"237d7286-580d-4ed0-8a35-0ecabe3963ad"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"\[ScriptCapitalY]3DScho", "=",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",",
RowBox[{
RowBox[{
RowBox[{
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["#2", "2"], "-", "1"}], ")"}], "\[Gamma]3D"],
RowBox[{"(",
RowBox[{"Y0", "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}],
"]"}], "[",
RowBox[{"\[Theta]c3D", "-", "#2"}], "]"}], "+",
RowBox[{
RowBox[{"\[ScriptCapitalY]3D", "[",
RowBox[{"A", ",",
RowBox[{
FractionBox[
RowBox[{"h0",
RowBox[{"(",
RowBox[{"-",
RowBox[{
RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}],
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}],
"]"}], "[", " ",
RowBox[{"\[Theta]c3D", "+", "#2"}], "]"}]}], ")"}]}], "/.",
RowBox[{"g", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{"x", ",",
RowBox[{
RowBox[{"(",
RowBox[{"1", "-",
FractionBox[
SuperscriptBox["x", "2"],
SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}],
"]"}]}]}], "/.", "s3D"}]}], "}"}], "&"}], "@@@", "func3D"}]}],
";"}]], "Input",
CellChangeTimes->{{3.799295240237157*^9, 3.79929535080898*^9}, {
3.799295392834118*^9, 3.799295397865663*^9}, {3.799295944987698*^9,
3.799295989059061*^9}, {3.79929735637096*^9, 3.7992973575144157`*^9}},
CellLabel->
"In[1318]:=",ExpressionUUID->"0abc4e78-2b2b-44c2-b76e-2756938af114"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"142941.56336813187`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1318, 861,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.7992973578631287`*^9},
CellLabel->
"During evaluation of \
In[1318]:=",ExpressionUUID->"d5e12713-0108-40d9-ab51-55f3f3cc5e76"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"94874.84537493232`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1318, 862,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.7992973579337597`*^9},
CellLabel->
"During evaluation of \
In[1318]:=",ExpressionUUID->"00de938a-94f9-45ea-9088-62843a9a493f"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"71002.79346975885`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1318, 863,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.7992973579466352`*^9},
CellLabel->
"During evaluation of \
In[1318]:=",ExpressionUUID->"295fa1ec-86a9-4d76-b506-82d387a4b171"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1318, 864, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{3.799297357996706*^9},
CellLabel->
"During evaluation of \
In[1318]:=",ExpressionUUID->"ba543359-6764-408c-9c9e-fd4261aef828"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Show", "[", "\[IndentingNewLine]",
RowBox[{
RowBox[{"ListLogLogPlot", "[",
RowBox[{"data3D", "[",
RowBox[{"All", ",",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"B3D",
RowBox[{"#H", "/", "#T"}], " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
RowBox[{
RowBox[{"-", "\[Beta]3D"}], " ", "\[Delta]3D"}]]}], ",",
RowBox[{
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}],
SuperscriptBox[
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}],
"\[Gamma]3D"], "#T", " ",
SuperscriptBox["#L",
RowBox[{"-", "#D"}]]}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"LogLogPlot", "[",
RowBox[{
RowBox[{"{",
RowBox[{"\[ScriptCapitalY]03D", ",",
RowBox[{"\[ScriptCapitalY]\[Infinity]3D", " ",
SuperscriptBox[
RowBox[{"(",
RowBox[{"Y", "/", "B3D"}], ")"}],
RowBox[{
RowBox[{"-", "\[Gamma]3D"}], "/",
RowBox[{"(",
RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]]}], ",",
"\[ScriptCapitalY]3D1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"Y", ",", "0.0001", ",", "1000"}], "}"}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"ListLogLogPlot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"B3D", " ", "#1"}], ",", "#2"}], "}"}], "&"}], "@@@",
"\[ScriptCapitalY]3DScho"}], ",",
RowBox[{"Joined", "\[Rule]", "True"}], ",",
RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}],
"\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, {
3.799265715899272*^9, 3.799265733210948*^9}, {3.799266549587083*^9,
3.799266565121595*^9}, {3.799267354257635*^9, 3.799267355496191*^9}, {
3.79926747907583*^9, 3.799267528491227*^9}, 3.799267982133749*^9, {
3.7992686515454407`*^9, 3.799268658975692*^9}, {3.799275155759755*^9,
3.7992751909440804`*^9}, 3.799275556471552*^9, {3.799276266609137*^9,
3.799276277960126*^9}, {3.799296004468487*^9, 3.79929600654751*^9}, {
3.7992967433050747`*^9, 3.7992967513997498`*^9}, {3.799297529778729*^9,
3.799297583902081*^9}},
CellLabel->
"In[1321]:=",ExpressionUUID->"ba8964ad-1f29-4021-8973-9b17293caeb3"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"10018.197871255481`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1321, 879,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.799297584240995*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"2dd699f1-8e13-4516-9a3b-94be0b77af32"],
Cell[BoxData[
TemplateBox[{
"LogLogPlot", "precw",
"\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{RowBox[{FractionBox[\\\"0.09352437520604967`\\\", \
SuperscriptBox[RowBox[{\\\"(\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \
\\\"Charting`Private`pvar$15457382\\\"], \\\")\\\"}], \\\"0.7912242582977963`\
\\\"]], \\\"-\\\", \\\"0\\\"}], \\\",\\\", RowBox[{SuperscriptBox[\\\"\
\[ExponentialE]\\\", \\\"Charting`Private`pvar$15457382\\\"], \\\"-\\\", \
\\\"0\\\"}], \\\",\\\", RowBox[{RowBox[{\\\"0.09352437520604967`\\\", \\\" \\\
\", RowBox[{\\\"Im\\\", \\\"[\\\", FractionBox[\\\"1\\\", \
SuperscriptBox[RowBox[{\\\"(\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \
RowBox[{\\\"\[LeftSkeleton]\\\", \\\"30\\\", \\\"\[RightSkeleton]\\\"}]], \
\\\")\\\"}], \\\"0.7912242582977963`\\\"]], \\\"]\\\"}]}], \\\"-\\\", \\\"0\\\
\"}], \\\",\\\", RowBox[{RowBox[{\\\"Im\\\", \\\"[\\\", SuperscriptBox[\\\"\
\[ExponentialE]\\\", \\\"Charting`Private`pvar$15457382\\\"], \\\"]\\\"}], \\\
\"-\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision (\\!\\(\
\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1321, 880, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.7992975843278112`*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"048f8f30-b4bd-4b7a-8c04-81815146eb59"],
Cell[BoxData[
TemplateBox[{
"LogLogPlot", "precw",
"\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{\\\"True\\\", \\\",\\\", \\\"True\\\", \\\",\\\", \
RowBox[{RowBox[{\\\"0.09352437520604967`\\\", \\\" \\\", RowBox[{\\\"Re\\\", \
\\\"[\\\", FractionBox[\\\"1\\\", SuperscriptBox[RowBox[{\\\"(\\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", \
\\\"Charting`Private`pvar$15457382\\\"], \\\")\\\"}], \\\"0.7912242582977963`\
\\\"]], \\\"]\\\"}]}], \\\"\[LessEqual]\\\", \\\"0\\\"}], \\\",\\\", \
RowBox[{RowBox[{\\\"Re\\\", \\\"[\\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", \
\\\"Charting`Private`pvar$15457382\\\"], \\\"]\\\"}], \\\"\[LessEqual]\\\", \
\\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision \
(\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1321, 881, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.799297584412706*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"5b9502a7-8a5b-4717-89cd-745cff8faddd"],
Cell[BoxData[
TemplateBox[{
"LogLogPlot", "precw",
"\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{RowBox[{RowBox[{\\\"0.007075071428571428`\\\", \\\" \\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \
\\\"5\\\"}], \\\" \\\", \\\"Charting`Private`pvar$15457382\\\"}]], \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \\\" \\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", \
\\\"Charting`Private`pvar$15457382\\\"], \\\" \\\", RowBox[{\\\"(\\\", \
RowBox[{\\\"3\\\", \\\"+\\\", RowBox[{\\\"13\\\", \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"+\\\", \
RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", SuperscriptBox[\\\"\
\[ExponentialE]\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]]], \\\
\" \\\", RowBox[{\\\"(\\\", RowBox[{\\\"9\\\", \\\"+\\\", RowBox[{\\\"10\\\", \
\\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}], \\\" \\\", RowBox[{\
\\\"ExpIntegralE\\\", \\\"[\\\", RowBox[{FractionBox[\\\"7\\\", \\\"3\\\"], \
\\\",\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"Times\\\", \
\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
\"}], \\\"]\\\"}]]}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"-\\\", \\\"0\\\"}], \
\\\",\\\", RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \
\\\"Charting`Private`pvar$15457382\\\"}]], \\\"-\\\", \\\"0\\\"}], \\\",\\\", \
RowBox[{RowBox[{\\\"0.007075071428571428`\\\", \\\" \\\", RowBox[{\\\"Im\\\", \
\\\"[\\\", RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\
\"-\\\", \\\"5\\\"}], \\\" \\\", \\\"Charting`Private`pvar$15457382\\\"}]], \
\\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \
\\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \
RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Plus\
\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"ExpIntegralE\\\", \
\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\"-\\\", \\\"0\\\"}], \
\\\",\\\", RowBox[{RowBox[{\\\"Im\\\", \\\"[\\\", SuperscriptBox[\\\"\
\[ExponentialE]\\\", RowBox[{\\\"-\\\", \
\\\"Charting`Private`pvar$15457382\\\"}]], \\\"]\\\"}], \\\"-\\\", \
\\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision \
(\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1321, 882, 31360694400660719236,
"Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.79929758443327*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"4f6b3384-f093-44d4-8e9b-4c713449ca2e"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"LogLogPlot\\\", \
\\\"::\\\", \\\"precw\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1321, 883, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.799297584514369*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"e60795cf-67d6-41ad-8827-2e5407299305"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"10021.487504027005`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1321, 884,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.799297584524785*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"a8d095ae-2cc3-4dab-ab2e-16050fe76f30"],
Cell[BoxData[
TemplateBox[{
"General", "munfl",
"\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
\\\"10021.487504027005`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \
normalized machine number; precision may be lost.\"", 2, 1321, 885,
31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.799297584545985*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"b80aaa28-cd90-493d-ab93-5f4473e90377"],
Cell[BoxData[
TemplateBox[{
"General", "stop",
"\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \
\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
during this calculation.\"", 2, 1321, 886, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{
3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, {
3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, {
3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9,
3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9,
3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9,
3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, {
3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, {
3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9,
3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9,
3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9,
3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, {
3.799297565541545*^9, 3.79929758463486*^9}},
CellLabel->
"During evaluation of \
In[1321]:=",ExpressionUUID->"8e890619-0fd5-48db-87ea-ca5bdbd7894b"],
Cell[BoxData[
GraphicsBox[{{{}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668],
AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJw9lVk81YsahheWZR4WlmW2UWQjRaVD+itjppIiMpU585RKCgk7UpqURnNl
KLEi4fsQG9kyhCRTZKZkXomzz825eH/P5XP3vHInAw67s5JIpL//3f+YwAga
7f8ijRMGEaIvjiaAi6JAk6+KNB5nL4tYrIsFS09T34QGSZyyCokqPhEFpv43
4kTpknidyXk1KSII5AfUT2W5SyB/gDyY+d8Am/hbWhol4ljhM5J5Z/4BSIUY
bQZWcZSKzC0YwCKwEIyts7AS+7+vfNOAR+9jOk6o/RP+2aIICmYNLL1nRZEI
vn9JwykPdvEeHV3eI4pTXfw+Nn+WgEBjlvvlRBoe1zLQFRWqgNgiiw7hzyJo
2JPczpLKALqgRlr6FhEMjaEY34kGWHkXFqceLozmiU8CsnRroMhZ72JlnRCy
LJMWNqvWgfEp/xAzESH85dUnad5XDz0Nh7V7TlJR28Gn3lyxCcoj7yh6Fgni
fVp47GzYBxhYL9g0vSGAbqRoqvR6O1CNZJQoD/nxTQmDfvFAF2ixjZXIafOh
mvetvfVDXUCcifLd082DPZWDtlVWvfADE9jtQrmRshRhukgdgNulzp5hVC4M
dWDRYMsbgrehWxavF3KgT2Wz5vvGEeA6OUUrMKNg7X3LeMeWbxCm0WTYME7G
CqeiuRtx4yChnJ47cpkNOaZICU+Yk0CMeu8kKbCi1bK+lNrhWUjuULWRQhL2
KQ469bj9gOHIJp3A8nUY75d6tCH4E/bsrPuQu/AL0kYyahTa5yH+hc1U/9ZV
kI+psyvcuwhzLMW1NO8luLegYNKuvgxJPGMO5pnzkFFidtpn9yoYiJkciuv7
AZzn7PWbZpggu7m4+5z6NMw8eJ0227wG840+CeOZo3CxXkE67c46YIv1s+Ni
QxDYceEc91kSasyo6N8U7wYRmm66oAMLVuUPnxwgN4ClVWf4ah4rMkluDie9
r0LmdA6n+iM2fCmVpvnM9h3xdCGE5FNGxvy4hvKf+zsJNb8gW7+37IiW+xR5
1AYJl0Wurb8mKLg8KRh/66MM+rZEuUpHhkCO0KGncgoyWFBQrVX3OAa6rq1t
exEkjYErFMO3G5ehq3WZ06daCnnUgl06dgXDNfsOt/f8Uljq6i1qkB0JXu8D
TewcJbHbKWO7m+Zp2JN51X4sTwLNt5t5Vn7NgKO8+ZOhTHFcjGD9+tslFQ4L
L5DZDojjgTa2oO2v78OfsSnj11PF8PTqcesle19wUl1iyIzSsSw9OS+x/Bko
iD3NzNtBR9lqckesRyYcYXzT174kin+Mxd/rt3kJNY163/5uo+GJd/6Fdl9e
A+NmTvPRP2hIXhooe5z2CvYWvXYb8RfBUjsvOUoLAt2fMhJUKYxq7WdXclff
QJLNCysSrzAuX4+aWKdVgSzjpliyvRC+UM2PtW+qBtKpbrLUMyo6PpyKXZJo
hDfkjN/PlgVx85F8+qjxe7AUaJ3TMhJE3b9x+gu1FWp6vYISlQXQlq/pnGRf
G8Qa/jiQW8+HQgECA9bpnTBrEiRX58qLQWxKjhj1Cf64PqQwQOLBjuqt6t6p
vWBk8byI+ZAL7f25vrctDoBljb43TYcT3z4+tl0Xv8IGtzmrxicKdj0tWCv5
PAxZLApulmHseNWVQ2BbxSg0VU3NeQuRUYKh88Ri0wSI5xcKxb1gxYLjPE4S
e6fh0vmr+9PNWTDeZTxr55NZsBptMIno2IBWy68xRRJz8NDF3u0V32+wvugk
BeU/QUdnMHvSmAkkRsuzS1cWgFXIaqd8zDKkteW+KT26BHaNZo12FQtg9MQ3
O6J+GXL0+0auL80Bxy8+7h8DqyCnGnLu2olZyDJWzLEd/AVHiN78tc5xyDlJ
SNSG/YbaYw9vBpoOQ3RvtILG8w0oS4u6XRnZCzk2m+4drCah68jc0l2PVihk
49J+9YUF+0s5htd0GfDIju3oziZWdOIas78pU0r0+npvDJHIqNQT4tXQ30oo
5ZAG4tbIeP4aK8fMYi8xjBMmyqIU/O7UYxcXN0wcY4nv/sOGAyUlbU/RhCaI
6cqfh4hYToxR3KGZ+3CWcKguGlpN5sKlJG/ltwekcHWHzBGB4ATIKnlqanJX
EjWVTT3q82Lg4/ajHZ2jEuj+40BZRYE/dAYfykvZJYE+dJ0wJ+MTRPKaCsfP
S+I43NtEeRB2kfDwa5y82C6GzLMcHwMhA3QMR9f45MQw2XzoxvuzoXCkkHz1
fgAdLf7kmsmuSYNDDPNc5SpRtOd9/YDLLAW2KE5eKeUVRdFUtSK/kkxwaLE8
ZnichpaejZzSDxkgX04yan8mgjKxcfJ6u/LA2nbvqMuKMNLLY9Ynb1cD+tyL
nzUSxsL3ebXZD8uheOeG//nbQljjNL/6/iXCHmsBDp4RKvIHS+/bXlcPNEHn
uLsaVPSrIBxP+DbClRWOBcVoQdR0rnwl/aQRtAs/hXk/FsAAxQyQVfgAa3QX
y8t7+PGU963OfEYH+FssEuk9vHg7IPdNT9cnuHfSakvlaR7knufNKrbsgSpZ
idefhLnxupgKm+1sH0T9lZ688JIT3UmMNLXLgzCZJO8hZMmB0bekNjb0hkH6
4w0v1Sl2lOxn5x1P+gb6KceXjBPI6CMzzXu6dRzMKIsFJzez4Zl+v+7RwklY
s/xtdLGGBdk0Ex3j52Yg3fDj0/vOJLxvJRHife0HJLNr+/mv/oa4bc4ZAjgH
KoNQmKP5C2Ipz4+y750HUnQkf5/fChyP3mw4ZL7476ertNOeLoL9ePRkq8Qy
3BmvmDH/+hPOj+yhOF5agR21+9UvS/2AovnO5roiJixpekaeLZiEJzfYymxO
r0FuhkP2uNw3yJ6UCwrcuw7ntm6UFagOQLnhm4ldWiRUOhMo8RftI1h+8/PZ
r8eCNN3o9fq1ajgSjpyGbqwYG9pzL7vuCTHjf3lYWYcNG69M/vXSuYmQXWmr
CDUhY+mvS8NrRp8IMUeTXJEL7Ehd7TnE82KIqNi+Q388gYJabanHHmqPEf0f
6thlb3Fg+pdQOfX6aSJFOoCKrzjxm6RT2eCWOcLVyEbm7hgXXlC6kvl0dp6g
iG/4eHDx4E32RpXAkiUi8m2Ypw6dF00StQT/c26V0NvfVBLlwYfx3YnkyDk6
SmsKUWYOpsHOjabN3Hp0LL+2rTCELwPcz4cXpiaLonXtP4EajATCozI4zrqf
hhHd73heNhSCrLHl12IVGobw8zy/GZsCy6VTdfvOiWD4ib7MiGPF0HyN89OH
BmHcnqfyNbi1FL6tKHo50oXRbqEtyW5HOQxt+MdMuQvhtrmbsswABrwJ5PU4
W0JFzgiJIXSvgVmxIE0ONir6dj+Qd+luhmKygtwtK0F83OcaVBvZDA361TGG
egKoWVXYrDrcApm+4XUufXwoLNJv8VqrHRJI+rfOn+NFvluH9bZ4dUOajuu7
e3QeDOdRippN7AVzBmttSQkX+uxUE52v6QetuCOP2qw4Ubnse16w/SA46kur
zsxSUDhy1SqOewRkCrLIXEnsqM0jaS098Q1Svv5naZMyGafUg7vGJsbh7fLt
fr16Vvy19OHyRNskDJU4+Tq4suCpqt2MUMoMZMiMGpwhkVD6juuiacp3EDdo
2a2q8xt2d0qO9WfMwYX2Ql2XMCZop4kVV3MswHtzPbvUF8vAMqg0MWW6CJ93
hTQ0TyyAdZOd8qGkZdBtuMRk3/QTuKTF/h6VXgU+H9fzkRWzkHLmGC53MSHH
Oa54atsEZIe3jowdXIMhkRu7HLKH4Ybbo9EF73UQKZCYTtH8AiutrVJUExLq
nGxnhkq1gVmLTPNNLxYsUzuRZUgrAynTxUbmVlYM3rJPf5dxCVFzSGOl1IUN
Sd95rb9vaSV0Fpmv1PTImEmVZ6Pq9RKnUh3p+3zZcbeIv2mayjDRz9o+WXiQ
gu4BjHuqpeOEfJUcF68/B25zsPCE/bOEhGv53dNXOdEl3RA3j80RoVwL/ENX
uFBEqSRrNn+BCPypJEx6xY3PP9o2lwYvExauOuEHx3nQsH1Y58JuJjGyqj3Y
vMSLx6pqCOP1NeIEM2fD+9+u8Rhs3yT4boNQWbpermckgG1nJrOnDVj0Pkfv
G5VVF8QHF6Lut+ay6iXS81pKGwTx6cxj5xJusl67YdnLGE8qRm/rbrvrx65X
YygcFbpOxf8COLRxUg==
"]]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.009166666666666668], AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[
0.009166666666666668], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}, {{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwBWIQfezA6g0bs5UOKG44O8WhvXl/4YvfyzZLIfgyAj5z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"]]},
Annotation[#, "Charting`Private`Tag$15457385#1"]& ],
TagBox[
{RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwV0Hs0VAkcwHFNBslrjDzu1VwzbB4tJUKa9v48W0InbUtH3osykhWVLDGF
aNpDMmVRx9j0oERHZSv3t8mrZB2PyqltCVFYj+hhPLb943s+/3/5YQd8I1gK
Cgo+X/vfJqy4WS0S4MrnoxOTFVxQdA5C830C3HI3p2jiMhecGrQ6SiMFuL/Q
fOu/ZVy435g4kRcqwPaAqAujRVyofkxbxfsJMLfvjdfbU1wo7u6q2OAiQN33
vVdfirjw84i8/BYhQGqhObxpLRcMtbxKalv5aGP8+/OiCm1I2jF92IDgoy1/
p8adAg4wN8UpRoeM8EijoFx4Rgtc36m9fnCNQvWU4KwaU03Q22VUMufNw5ed
kSFtS2pwf165JkVlNa5PrJL/Ma8KsSflMrxM4sbkIducdhUI+LtHFO9NYIeF
NCnrmhIcS20WtnoaYOfe9vV2HDYQsSdyolUNcGrNybTdFYow/Oa7DEGlHjZl
Rn2jls6CzPynPUYRumhkc1KSn6wAIeoui6dNViGlvXUxT2GB3ip6xLrXwsWw
DH+q/tZnWoFNBFqd0MbqvLFH+Tdn6CZxcn6oCQfDIwLKLfwm6dz8LBdlqSZm
6h/bstlkhHYoxJUvOOoYcN7LPsGyj5ZHciRmfqo4W/RdWb1ZOx1WqXqX/UQZ
u1WWF2y+m8sM1JHFYSpszMrr7g490cm83D23rsSXhWOdTo+He/qZ8Tesf1qk
S8yChU7ptmfvGH8ZtP9IzjGCo/ppUqcpRn3HXzqL8zNMnZtJRaDPLBPgMZ34
5+QEs6bekWlx/8IocS7JMtSHmHUHDp2LL1hgjsd+kH9u6WEKGs4lbnqqgCP6
Yt+m07F0/2jmst45Fm4c6JA6v+qhz0fL0z15bJSIX/HFy4fo1mIrGDZURu7B
Kb3B6YmvnxJCytxXYIZzTdUKnVmaHj9Sn7NtJZ4t7/gwpDNHyxpZHFd3ddx/
lGl+KF6idzpebDSM0cS0KitBgwcLaOuFgNzbWnijN8Lskgobkrm2SrI2DjpI
ZsRz55UhYbvndo8ObfSqrLWMN1QFmV3Zmd52LropBhtFP1ODTyJ21pc3Ovjb
YHBUT6gmqMrdiarBVShKNUnu43DA5UVe0IxcF32caqKjYrShJoQqEWjoY3CL
SPFKFRdeO0uOvlU3wDCRwUMzjVVgfZC1wtGYwPzOafPwXboAC352xmtIzI4b
qrOS6kHGhsnAWWNDjLdo2+84rQ9TtXl2fvarMfvK6ydLdgQQ+do3fBx46Mx/
8PGqkADvGwd0Hwt5OF9YxP/BmYD01rZUNycexp3yP3zFm4CRpcztQk8e+sd2
Cnb8RMCdGPmk+R4emto2JcnyCNjlPmjDTuNhI3Pd1G2MgNwvtXX3mnmY6iDx
nZgioEGHK7Bv46FDdXRK4ScCPq6Ly6np4GGlzLRrnEVCUKRFwNVeHp7NKE2V
GpBg2XVhXjrKw/BtBT3D7iQ8qcyi4zUpNHx0UOGMFwmLzYOXx7kUPhP6rhX6
kmA94KS1T59CTyvN9NxAEgoN5vuC+RRu4GR/uymBhL2ZcWJvGwrHsqP8BpJI
KC59+r7FnsJylrv49DESOu5b7HQVUkjMsF7055Bg/2HQeLMbhd0x/SxJLgki
DWfJbQ8Kfx1iLO2kJFw0vzhj7UPh90EX/PuKSOhynd9z3ZfCZc9/OZ5TSoJS
yO5GMz8K/wMKvEXy
"]]},
Annotation[#, "Charting`Private`Tag$15457385#2"]& ],
TagBox[
{RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwVj2lUlAUYhScTFEMdAzFm+eb7RpFQ8CDIlgYGIxGIChaoICcBx0zEUFGz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"]], LineBox[CompressedData["
1:eJwVx3c8FIwfwHGZ544759zCQ1TIKNqp5znxeCSVWcn1NBQyQpSetGQ1kFJR
EokuKiNdVvH9nhGSIyOziGSUsxty/Pr98Xl9Xm8tVz8HN0kJCYm83/3/juRx
9hoLVaQUc7bUuSWB+ysc2bReFRd6x3Zr3kiCgJzHftQlqrjmncml45NJcPn8
+cDcWTaaqRunvi64C8VLjE6JHrORxZFx03VOAXH3Q24vj40uuwz4fwemgFmi
9sZ3qWycWU/sCLuSAq/ILHFJAhu/VryyO1yZAo3fJc/FhLGRbX/O3EP1HgzX
tIUactloKLpdphpzD1R9wy97Edl45+sLjkNIKozs8vMal2ZjQuKdmHPXUgE3
uWz5b56FB1InFSvup4IH3ZgYOcXCuooLWtcrU4H/svNS6gcWOh1xEm9VuA/b
SCsvteWx8EtKrZNN8n0Iyfh44R8uC7Xjo4J2t6SBY9wbj7odLDRI4w0/HkoD
ndMFVk52LCxa5/ySPZcGdbYxcq6WLFwSbC+/WTcdVL+vu3BmOQuNNwRZTwan
A9/yaiRfioX0avFMuu4DGOj9K0L7CRNFG6WrwhJ48OiP82dlHzKxtUPcOJ7F
Ax/n8hPDqUwsmij6fqqCB2N1Vl55CUzcGbGN3j/Og5lCO1vzMCZyrcJ9ydsf
AjnWle3qwsQ1m69Gd5EyYM2GyKxUAhN/Vhpmuydnwo/j1bwIKSbm+bxKv1uY
CS9yifc85xjY877IYboxE8x0YuNMphjI2vA9UI7wCLZQb50QdDOw5nmb8YvA
R7B3IHPTx3wGquvY7Ai3fwyR1+taFroxcIp3hVWpmwW+nn6XNfYzcL/+U2KN
ZRbs4FA56lwGplEnoscPZsHiL04ZTHsGzuXUiHLvZYHAvCuY/CcDd+Tpj4yo
ZcPs+LDmrAoDo/w/J19g50CgHcGrtYKORtF6hn/ezgUXnUcaLUBH21bVrmeP
csF81qapsZiOG3R3F3Be5oJSRuxGYS4db/Z8dEjozoXseQalMum36zQ7Nus+
heHsJfy8Y3QU+4e71hY/hf2KFnMxi+lYHvyzTWYyD9qUd+RpaNKRWzy8gCL/
DGxZHu45bDrubuaLV2k+g78WRQkbyHTsupk512rzDP5Y35RM+6mCR23kl5zl
PYOOQwc5t+tUcK2zY4T3AT44vQwLSQ9SQfLXjoBW0XN4I7i5avVRFRzzOmte
QcgHi6qHg5XeKvikI7akUTsfVjTW2g3sV0GllII9O3blA3WQpqVvo4Klk9y2
aUE+CGnpghxNFaQLMvRq7haAlXeF5ItqGh6qi6GL/IsgW2DUkFFOQ7+522G7
Y4pAhZVwN76UhgWkduZAZhH0VniuC+DT8L6N7HbPviI4q0HxXXqPhgYnTdaS
nYsh/+3u9oQTNNTsPZw1a/UCFq8bzTmmQ0Ov433CSxYlEHXF+YyrFg3XVq6U
v3ioBCY+CbbYqdMw4/RQTFZECeC1G/0GyjSsP5mzxK+6BLhf1qv1iZWx9srU
gbe2pRCXHB5p36KMF+LoK9a7A0jIqP67LFwZy6TfkHzaEb5fnlyac1YZrdOH
+nRFCCKlum/LTypjYmWu6ZykALrUQ66a+CpjlX78xxlDARSt+ly+ylkZd1pP
X1wbKoCAQ3n6GwyVEUdOWnaYlEFf+ZYfVs1UPOsGGk945dBhvbiyWkjFONP2
hm+l5dBYL75mXUNFW1yit7+1HLAz18CmlIrCTeccYwkVkDTJ2Lc9g4oDih4h
B30qwGlRX6XTaSruMQkqkDSthFehp64fWEzFiiphkKboFfSm8dVmNai45jB5
pwSxCuYqRtLi2VTcaEk0ldKpgjVy+/m1ZCpO9Dg+8NtbBbyov1tW/1RCiz2C
RQMNVRB5Q5FJFCohOeTfmaMvq8GKl5KYd0IJj/d0cuRyXsOhqjbtbQFKqPN8
1DSw/jWEDFIfD/goYSa/WUN27DUU6oe/UHdVQrvPfMtUk1rQyzncFblVCaX1
ZBOe5tcCodBEg6ulhOeSCQN7q9/A1esXLOTiKShNXBHGJNUD70RG5LcoCh6Y
aPbXW1YPJdyamv7zFBTTW7r32dfD8CKSXcURCpYU1TeZ36oHS/6VPectKRhI
H7osojXATPPN47+myJje4pe96WEDHGKkPxx1JOOYRYCR7fu3EDxTMfzBmoy6
6tUfD46/hWsf+o2EHDIOHT6z8opMI5TydPlPDMi4dPyoeNGyRmCvfYyeUmQc
dSt12BnSCMJdee19eYoYo1a9d0CvCdbdRlIbVREvLXAcs4pqBr8uwbYRWUXM
1KH36aU3A0+zPFZyVgGdmib/1ClpBhVeJc3oswKqNfnHB402w1jea7XQYgV0
12eW+u9ogcw3zQaGBxWQ3erl26vzDlQlhmxC+CRcvHl25mRPK9hbDMfczCSh
XbD9QXVxK1yM/FL/KJmESgTR3Q/sNvimIHJsuUhCfQn9mTLHNmhkT3L1/yWh
ZRLDlVzTBpdXir2bZUgo1hI+qi5qh1/u1Gi9XUS8Kc5sjON3gtJWgcSPrURc
G2gUvbqpE3RMjh6vMiciT+IN+/t4Jzj8atjrvoyIzA9iSuvyLsiIvWqSLkPE
KUbZvEJWFzgVUlo1+fIYZh5V6Jb1HrLlydpMqjxKZFlWHn3VDRWikvjPsvIY
Eqti+MdQN7Q3HSHlzxJQjyM2mZbpAenkuimnQQJOD5Y6Tuv1AHdFTFUcELA0
97+rZX49QOAqHCH7EtCY+eLcHYmP4PqEWChTK4eDPrS2O8t74dZYosEvkENi
SNHn6r97QbjKIGWML4ffd/yIJ7n0gmmJTWRnshyuvgbsxvBeUBZGOz0NkEP/
hUU73Tp7oWyUPL5HVQ4PjQWp50X3gfZKmj7fUxa1Dvt8tZXoh74itSRXggzq
ZsapfV02CK6rvCOjxNLIXWsxFWw9CL3Zxf78CWmUp9CstA/9dtpuS9n30ngu
sfda8e3fjkkQZT6VxqvmuaY02SH4eIC2adxFGl2MFQv9+4agW570+VyWFFr4
XP+5/ukX6Nw9s/yugyReHl2xov3OKJgG/dgaslkSTXYFT/KLR+FW3DfPg39J
oo7VcE1G+yg41U6kLdWXxAO5Mr5fSWMg3PiFmb9AEldlLBBmbRmDMs2ueWHu
AuRuzWg8+XoMMvtL6iUoC9Az/tTJnU3jMNIr2V0dPw8bZBTKKKQpGG4HRmfI
PNS0P3m5UnMKBhtObx/xmodF9HC2x8op+FT6rYTKmYfpnSLSLHcKOhKHk1wG
5sAoqdKuO2sKqh0aXb6unQOv6+P6sU7TcL8s9R2lfRZOS8SpPc36Bs73zYQ7
1WaAMP7h2JvYn6BoX68yNzsF4csJ5fKp88C1njguGBuFYNt4LW9TKZSlPrgf
odgPBd2l8wwfOQzznfz1o7oFDrsXV5RWk3CQFerwKsaXY7zY1eLDaSVc3dcQ
b97VwtnUca2TuYmG0aFdWqFS/ZyltxoFq6QYSAscZ36aGOV4x8y8jzZiY4R5
Xo68yjRHkDx6UcNKHW/wGib7VWY4n0XGsuf9NPFIMFSVhc5zJikpIpUzWhiS
s0y73FrSrDumNqp7+SLMbnfTe0CQMdvu3i9BUV6C66KnQmduyZn9FWSs1tCl
g1ufPDcKUCeaJWdGNOs90ENL6X0Lvd4pmP3zev8ak0R9TPy0z6PlAMVMdLr4
qEeAIXqfXXyqh0o1M2EFZmoELcNnBQy870410+Ude1g6sQz/BwkL1Cs=
"]]},
Annotation[#,
"Charting`Private`Tag$15457385#3"]& ], {}}, {{}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}}, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, {}}, {{}, {{{}, \
{},
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6],
LineBox[CompressedData["
1:eJwVlXk4Fu8XxlWKspUozcy7EaISxcy74VgjpSwpkYi+SqHQpg0JlaW0qWyF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"]],
LineBox[{{-6.535086026832071,
6.4851625793739425`}, {-6.532452355157154,
5.979093603517212}, {-6.529825086686318, 4.623427543352312}}],
LineBox[CompressedData["
1:eJwUWHc81f8XRoVSRt3PHUhGJVIUpSihlMpMWQ1KRfUtRUaFECGioqSU7L2u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"]]}},
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6]}, {
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[
1.6]}, {}}, {
{GrayLevel[0], PointSize[
NCache[
Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[
1.6]}, {}}}, {{}, {}}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-8.144860364541588, -4.851467865055216},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImageSize->{444., Automatic},
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-8.144860364541588, 2.67851413667637}, {-4.851467865055216,
0.012064355914590463`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.111728083308073,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.824046010856292,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.418580902748128,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.264430222920869,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.1308988302963465`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.013115794639964,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.0943445622221,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.248495242049359,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.382026634673881,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.499809670330265,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.0106352940962555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.995732273553991,
FormBox[
TagBox[
InterpretationBox["\"0.05\"", 0.05, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-2.3025850929940455`,
FormBox[
TagBox[
InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-0.6931471805599453,
FormBox[
TagBox[
InterpretationBox["\"0.50\"", 0.5, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
FormBox["1", TraditionalForm], {0.01, 0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.916290731874155,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.5108256237659907,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.35667494393873245`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.2231435513142097,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-0.10536051565782628`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
0.6931471805599453,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.0986122886681098`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.3862943611198906`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.791759469228055,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
1.9459101490553132`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.0794415416798357`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.1972245773362196`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{
3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, {
3.799266537137291*^9, 3.799266566547916*^9}, 3.799267214795848*^9, {
3.7992673562244177`*^9, 3.799267378909185*^9}, {3.799267486866403*^9,
3.799267529436865*^9}, 3.799267983310302*^9, 3.799268083810974*^9,
3.799268152298849*^9, 3.799268659972763*^9, {3.799275172550398*^9,
3.7992751917695503`*^9}, {3.799275462898712*^9, 3.799275514997849*^9}, {
3.799275557295232*^9, 3.799275571129184*^9}, 3.799275614254651*^9, {
3.7992760202373457`*^9, 3.799276034288312*^9}, {3.79927621051716*^9,
3.7992762785901623`*^9}, 3.79928076478865*^9, 3.79929600749002*^9,
3.799296081754157*^9, 3.799296453265399*^9, 3.79929672213064*^9,
3.79929675249331*^9, 3.7992970520356293`*^9, 3.799297370515438*^9, {
3.7992975668488283`*^9, 3.79929758547651*^9}},
CellLabel->"Out[1321]=",ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>", "ImageResolution" -> \
72.],ExpressionUUID->"31f3dd4d-68a9-4998-b515-ec7c6494ad58"]
}, Open ]]
}, Closed]],
Cell[CellGroupData[{
Cell["Exports", "Subsection",
CellChangeTimes->{{3.799175833649254*^9,
3.799175835033679*^9}},ExpressionUUID->"ee3f8335-dfbb-447d-b74d-\
ca724911a8de"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Export", "[",
RowBox[{
"\"\<~/doc/research/thesis/data/metastable/example.dat\>\"", ",",
"\[IndentingNewLine]",
RowBox[{"Join", "[",
RowBox[{
RowBox[{
"{", "\"\<D L T H ME \[Delta]ME MM \[Delta]MM MT \[Delta]MT MA \
\[Delta]MA \[Chi]E \[Delta]\[Chi]E \[Chi]M \[Delta]\[Chi]M \[Chi]T \[Delta]\
\[Chi]T \[Chi]A \[Delta]\[Chi]A\>\"", "}"}], ",",
RowBox[{"Normal", "[",
RowBox[{"data2D", "[",
RowBox[{
RowBox[{"Select", "[",
RowBox[{
RowBox[{"#L", "\[Equal]", "64"}], "&"}], "]"}], ",",
RowBox[{
RowBox[{"{",
RowBox[{"#D", ",", "#L", ",", "#T", ",", "#H", ",",
RowBox[{"#Me", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Me", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Mm", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Mm", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Mt", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Mt", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Ma", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Ma", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]e", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]m", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]m", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]t", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]t", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]a", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]a", "[", "\"\<Uncertainty\>\"", "]"}]}], "}"}],
"&"}], ",",
RowBox[{"FailureAction", "\[Rule]", "None"}]}], "]"}], "]"}], ",",
"1"}], "]"}]}], "]"}]], "Input",
CellChangeTimes->{{3.7988438693775578`*^9, 3.798843905863542*^9}, {
3.798843936904023*^9, 3.798844152996503*^9}, {3.79884587060196*^9,
3.798845872353022*^9}, {3.798850285709024*^9, 3.798850315148416*^9}, {
3.7988503981509867`*^9, 3.798850477647489*^9}, {3.7988505090406113`*^9,
3.798850640786468*^9}, {3.798851488720934*^9, 3.798851489111849*^9}, {
3.798851599643096*^9, 3.7988516328265057`*^9}, {3.7988516778531237`*^9,
3.7988516795792294`*^9}, {3.798851720372983*^9, 3.798851726739883*^9}, {
3.79885186335107*^9, 3.798851876583012*^9}, {3.798851907703927*^9,
3.798851921871567*^9}, {3.798854492433896*^9, 3.7988544927843027`*^9}, {
3.7991529523155527`*^9, 3.7991530923580437`*^9}, {3.799201296814672*^9,
3.799201346637186*^9}},
CellLabel->"In[9]:=",ExpressionUUID->"51366330-d057-48f8-9a4f-bea2e8c09b22"],
Cell[BoxData["\<\"~/doc/research/thesis/data/metastable/example.dat\"\>"], \
"Output",
CellChangeTimes->{3.799153093664613*^9, 3.799201355975721*^9,
3.799202282371971*^9, 3.799606384112937*^9, 3.799606563152754*^9},
CellLabel->"Out[9]=",ExpressionUUID->"01e9aedf-2943-4d4c-8e12-09c64a2dffec"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Export", "[",
RowBox[{
"\"\<~/doc/research/thesis/data/metastable/scaling.dat\>\"", ",",
"\[IndentingNewLine]",
RowBox[{"Flatten", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"Join", "[",
RowBox[{
RowBox[{"{",
RowBox[{"\"\<\\n\\n#\>\"", "<>",
RowBox[{"ToString", "[",
RowBox[{"#", "[",
RowBox[{"[", "1", "]"}], "]"}], "]"}]}], "}"}], ",",
RowBox[{
"{", "\"\<D L T H ME \[Delta]ME MM \[Delta]MM MT \[Delta]MT MA \
\[Delta]MA \[Chi]E \[Delta]\[Chi]E \[Chi]M \[Delta]\[Chi]M \[Chi]T \[Delta]\
\[Chi]T \[Chi]A \[Delta]\[Chi]A\>\"", "}"}], ",",
RowBox[{"#", "[",
RowBox[{"[", "2", "]"}], "]"}]}], "]"}], "&"}], "/@",
RowBox[{"Normal", "@",
RowBox[{"Normal", "[",
RowBox[{
RowBox[{"data2D", "[",
RowBox[{"Select", "[",
RowBox[{
RowBox[{"#L", "\[Equal]", "128"}], "&"}], "]"}], "]"}], "[",
RowBox[{
RowBox[{"GroupBy", "[",
RowBox[{
RowBox[{"#L", " ",
RowBox[{
RowBox[{"(",
RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "Tc2D"}]}], "&"}],
"]"}], ",", "All", ",",
RowBox[{
RowBox[{"{",
RowBox[{"#D", ",", "#L", ",", "#T", ",", "#H", ",",
RowBox[{"#Me", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Me", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Mm", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Mm", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Mt", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Mt", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Ma", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Ma", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]e", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]m", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]m", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]t", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]t", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]a", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]a", "[", "\"\<Uncertainty\>\"", "]"}]}], "}"}],
"&"}], ",",
RowBox[{"FailureAction", "\[Rule]", "None"}]}], "]"}], "]"}]}]}],
",", "1"}], "]"}]}], "]"}]], "Input",
CellChangeTimes->{{3.7988438693775578`*^9, 3.798843905863542*^9}, {
3.798843936904023*^9, 3.798844152996503*^9}, {3.79884587060196*^9,
3.798845872353022*^9}, {3.798850285709024*^9, 3.798850315148416*^9}, {
3.7988503981509867`*^9, 3.798850477647489*^9}, {3.7988505090406113`*^9,
3.798850640786468*^9}, {3.798851488720934*^9, 3.798851489111849*^9}, {
3.798851599643096*^9, 3.7988516328265057`*^9}, {3.7988516778531237`*^9,
3.7988516795792294`*^9}, {3.798851720372983*^9, 3.798851726739883*^9}, {
3.79885186335107*^9, 3.798851876583012*^9}, {3.798851907703927*^9,
3.798851921871567*^9}, {3.798854492433896*^9, 3.7988544927843027`*^9}, {
3.7991529523155527`*^9, 3.7991530923580437`*^9}, {3.799606657406891*^9,
3.799606663341807*^9}},
CellLabel->"In[30]:=",ExpressionUUID->"19dd7b18-acbf-4e21-a357-947e4c32b028"],
Cell[BoxData["\<\"~/doc/research/thesis/data/metastable/scaling.dat\"\>"], \
"Output",
CellChangeTimes->{3.799153093664613*^9, 3.799606384713283*^9,
3.799606563544716*^9, 3.799606663521101*^9, 3.799981100480855*^9,
3.7999816955586843`*^9, 3.7999819462405663`*^9},
CellLabel->"Out[30]=",ExpressionUUID->"4e6c8948-7b1d-4a98-ba01-88951e58928c"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Export", "[",
RowBox[{
"\"\<~/doc/research/thesis/data/essential/3d_ising.dat\>\"", ",",
"\[IndentingNewLine]",
RowBox[{"Join", "[",
RowBox[{
RowBox[{
"{", "\"\<D L T H ME \[Delta]ME MM \[Delta]MM MT \[Delta]MT MA \
\[Delta]MA \[Chi]E \[Delta]\[Chi]E \[Chi]M \[Delta]\[Chi]M \[Chi]T \[Delta]\
\[Chi]T \[Chi]A \[Delta]\[Chi]A\>\"", "}"}], ",",
RowBox[{"Normal", "@",
RowBox[{"data3D", "[",
RowBox[{
RowBox[{"Select", "[",
RowBox[{
RowBox[{"#L", "\[Equal]", "128"}], "&"}], "]"}], ",",
RowBox[{
RowBox[{"{",
RowBox[{"#D", ",", "#L", ",", "#T", ",", "#H", ",",
RowBox[{"#Me", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Me", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Mm", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Mm", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Mt", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Mt", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#Ma", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#Ma", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]e", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]e", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]m", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]m", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]t", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]t", "[", "\"\<Uncertainty\>\"", "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"#\[Chi]a", "[", "\"\<Value\>\"", "]"}], ",",
RowBox[{"#\[Chi]a", "[", "\"\<Uncertainty\>\"", "]"}]}], "}"}],
"&"}], ",",
RowBox[{"FailureAction", "\[Rule]", "None"}]}], "]"}]}]}], "]"}]}],
"]"}]], "Input",
CellChangeTimes->{{3.7988438693775578`*^9, 3.798843905863542*^9}, {
3.798843936904023*^9, 3.798844152996503*^9}, {3.79884587060196*^9,
3.798845872353022*^9}, {3.798850285709024*^9, 3.798850315148416*^9}, {
3.7988503981509867`*^9, 3.798850477647489*^9}, {3.7988505090406113`*^9,
3.798850640786468*^9}, {3.798851488720934*^9, 3.798851489111849*^9}, {
3.798851599643096*^9, 3.7988516328265057`*^9}, {3.7988516778531237`*^9,
3.7988516795792294`*^9}, {3.798851720372983*^9, 3.798851726739883*^9}, {
3.79885186335107*^9, 3.798851876583012*^9}, {3.798851907703927*^9,
3.798851921871567*^9}, {3.798854492433896*^9, 3.7988544927843027`*^9}, {
3.7991529523155527`*^9, 3.7991530923580437`*^9}, {3.7991547697151613`*^9,
3.799154921332136*^9}},
CellLabel->"In[26]:=",ExpressionUUID->"8fa0e622-17c9-4322-8a23-47f6be78237e"],
Cell[BoxData["\<\"~/doc/research/thesis/data/essential/3d_ising.dat\"\>"], \
"Output",
CellChangeTimes->{
3.799153093664613*^9, {3.799154875149214*^9, 3.799154881365782*^9},
3.7991549221679688`*^9, 3.7999811033411083`*^9},
CellLabel->"Out[26]=",ExpressionUUID->"fe69debf-5b6a-48a7-898a-611e1adb6952"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"scalingDat2D", "=",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"10", "^", "x"}], "/", "B2D"}], ",",
RowBox[{"(",
RowBox[{"\[ScriptCapitalY]2D0", "/.",
RowBox[{"Y", "->",
RowBox[{"10", "^", "x"}]}]}], ")"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "6"}], ",", "3", ",",
RowBox[{"1", "/", "100"}]}], "}"}]}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.799350674322228*^9, 3.799350695078784*^9}, {
3.7993507251592417`*^9, 3.799350874290805*^9}, {3.79935094752299*^9,
3.799350977738625*^9}, {3.799356780686199*^9, 3.799356780933249*^9}},
CellLabel->
"In[1870]:=",ExpressionUUID->"20ec37ce-3a9d-4b7d-9e25-f6e99d0946eb"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"ListLogLogPlot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",",
RowBox[{"#2",
SuperscriptBox["B2D", "2"],
RowBox[{"(",
RowBox[{"A2D", "/.",
RowBox[{"solA2D", "[",
RowBox[{"[", "1", "]"}], "]"}]}], " ", ")"}]}]}], "}"}], "&"}], "@@@",
RowBox[{"N", "[",
RowBox[{"scalingDat2D", ",", "50"}], "]"}]}], ",",
RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
CellChangeTimes->{{3.799350680681448*^9, 3.799350721550173*^9}, {
3.79935092016464*^9, 3.7993509289217377`*^9}, {3.799350982459324*^9,
3.7993509863466063`*^9}, {3.799351227952758*^9, 3.799351240409863*^9}},
CellLabel->
"In[1871]:=",ExpressionUUID->"e43c19d7-2de8-4736-aa5f-af068af51462"],
Cell[BoxData[
GraphicsBox[{{}, {{{}, {},
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwV13k4lF8UB3D7boyxjTGYGWMrEqXs84oSWVpEhJJIlhYp+RGKFGkRErIr
rZIQWeZYUhRRIvsWCmUXsvzu/OX5PHfOc9477x3ne6nHTu9352BjY7vKycbG
+tv41L3oebcKHBHq+UCwF4ZVTOjpYLMKGIkYfWFZvb0gjfhOBczX27pYdvZ1
iLMuVYEV1SfDLN/kZLse8UIF7v8ommS5IulR8NtMFdgXs7bE8m8Nq7NTCSpw
KTKCSwxZtm7WXSlaBWoxcxGWrZySHZ1CVOCgpjWJ5UszmM1dPxUQb49XZPnF
9VGTDx4q8LlUTpPlHrlbOmuOKnDR67cBy8JFW9W32qD6cA5zlg32dFG9TFRA
7/GRgyz7DFyWzNiO+kXyHGP5QYCKYNtGFbjbtniK5U/Cn9cFKSoQ4qATzPJK
9vk5Y3EV6O2qi2JZTY/8K4BPBaq2Pkpk2am5uufFijJs3vX9IcsxHie/DE0p
g8+qSyHL5Ssi76WHlWHrAYMalifuFpfZdCgDn6XfF5bJqs75VxuV4ewixyDL
lkzOh2VVyrD7/NQ0y8EHnyZNFynD2rgBhzjy8/G9t5SfKsPo3TECy92X/15x
TlOGGy/+KbAsREwLiLurDH9i/LRZNsgz9amPVIaR2/vMWPYxHT+6/h96PoUU
B5ZTOmMPap9Gn6/e58PyxzM6Ft5uyvBkMSCU5X88fUaZ9sqw6oyPY3lj6tUt
7XuUoSFFNpflw1vUVIQxZWj0yipj+Ub9F7LJVmVYictsZrnsSKBooIoyjE/J
jrA8Pi/P85KsDKo+pBWWZWLqln/gleEpezJBAnkPzXeSxK0Masx0VZaDSsR+
7F1Sgoe1m4xZfmb99nvkbyV4amrhwHLXj6ON5QNK8CNi/izLgkG81TPflCCo
d8sNlvVF84pVGpQgtpLvIcveubbPXCqVoPBRAJPlFMN/6fEFSuCsHtHJ8sev
mfENj5Tg+JrmAsvLJ3dHsaUowY2uCIIk8ga2yUvbbivBwoMwDZYd7yX4+YQr
QYmmqhXL0WoGJ7IClMAh44o3y2+rBw9/91YCF97YaJbHDkXtxR1Vgr7UQ09Z
Jk1q7DS1VQLJwp4Gli2utun+t1sJZl/TJ1j+T+bSpnwDJXhL1cJJIT99paAw
slkJHjwQ0GS506xBiqyoBIf6CmxZFug9I7RfWgkGQCOQZT1/KfbrwkrAox2Z
xrKXQOV8BbsSyFqV1bKcnHF8bHZeEV7ptI6z3LBNsE91TBEMd7WJEVn7//Tq
65FeRegeqjNgeYPboQ8JXxSBP+OZB8uOS2vlH+sU4cSG6FiWo24/fMVepggB
tp4VLJcqWj7a/lIRzhEsx1j+VTaT7JutCCLB+kRpZOn9SbezExXhUKOBGcvm
PxkRHTcU4coJuwCWA0NGLoqEKcLnlluPWX4iftN3p78ieL+d6GS54+mWY0Ge
iuDw9wKOhMxv3Gn3ykkRnK9tNWFZtz1sz+heRfhzVy2Q5ZO+ypjsTkXQ9vXI
ZzmJs2nrAV1F4Ez49ZPl+iR/1Sh1tN+iCpoM8pKGjByTqgjsT8acWVatqyLM
SyjCxQsXk1l2cPLk3SigCFp2p7+zHDWDWzm6Rgfiq3YpMmv/14um7s3QwYD2
9hDLv+Schj+N0IHtonwKy8Qijk6OLjrsKML3sbx7z5Mmnc90SCck0mWRLw7Y
1JyqocOz9TJvlh8HLLzJeUMHQ3pUIcvfhVOfdz6jQ7kr3zrLfDkmmfgMOgS1
muyRQ9bRG0vYFU8H/LedSSx7Nt+JDr5Oh9ol4i+W73tsDy0IpsM/qQ968sgf
VnrO/TxDh8KdLrdYXrwb4SnnTgf2rpEhllVUNzrbOtAh6ZyvPgX5ELNlX7QV
HU5MrcazfP3gxV1gTIcNgTlTLJeMy+kvaNNBIsTXmor88/I7DbUNdAgvdc9j
mUj0oR+TQ/00k/E01v7zCNL3CXSI1iOeZznAtFS4iYcOLgG/u1jO7TzCwfVP
Adq7lXcqILef4fmrO6kAjQXf8lnm5X0xfnpIAQzvccvTkbenHuh/2K4AO4Lq
brN8Ystya9dHBSC/VOZURE6sz6gXBQUw6dQJZPn9EbNKs0IFiOIQmGH57/zv
gkuPUf3NZ75KyMox8bmvHyjAVeNNEyzb0/Qf/LqjAJ4W2b7KyNdKBu7IX1UA
Z13yDMtvrK9fPRioALF8zwJVkEd/bPrvhq8COMoe41JFlgr6dqrKVQFKLGzv
smwmGuz296AC9H+NV9jA2n8u7ZC6BfKp7SUs5xrWW7oZKYCx2d69G5Hbvp42
TtJSgHq2uXGWeb0kt31WUoDdb7ffUEPexlaxgVtGAc7hNTepI3vcc5PXF1GA
r5SFVpbvqQmIn+VUgNqY1NBNyHXV+Xy5f2lwPdhokwbywiH71e5xGvhkTfWz
rDS5Ok3op8G84afEzch2V3NGdrfSQF9+bL8mcqTMnq6QDzTQfupG0EIufjX9
ubCcBls797exPGJ2v3YsnwbuO7+kbUGW7DUqpTykwSnKqvdW5F3+wy/skmhA
3jFpqI18QSAmK+YmDTYovxPfhvwoQyux+jIN5BdSplhu29ZxY/E8DQzDY1u2
I/M0hoZt8qLBHdvaNzqs/bspnT/uQgPCowPZuqz9L306mbyfBkO+R+L1kBNu
n3Np3kWDjKN8N/SR3ymSDvDo0+DL/OlrBsjzZWBmoEEDf5+SKENkxf0nDPwU
aJD2meuuEfLBn8Kaj6XQ/v9dzGAgXw0pVOwVpMFUhm4RhlwkfpgkzkYDXiuf
ZmPk4afsIhZzVLjnvX1mB7KE8WPOsJ9UyLKqJpki72y3XizqpkLEJm2Lncjn
fecnxpupYKVbGrYL+SHngwHqOyq437pYaYb8LWlHm30pFXTM0zjNkbk3/2q4
+YIKYpF2ey2QtetuM2syqSDt2ZSzB9ndaVvhUgIVjslvZbdi7X+m+7FGNBUM
JovdrVn7vx6e6h5Chfit177YIM/Jbbib4keFIJ82s33I9KLmyBYPKozotb/b
j2y7JyCI9zAVQs5WWNoiRwzInjG0ocJjycrug8iFAbXHz5lQodhH5II98g9h
b4cn26mgt/ST6IAsniNq3beRCrEx4e8ckU31SnZIUKgQYy4d7ITs3+yyfY84
FQ6+GDZwQc7x4Fa7zEeFgERFvqPIrSvPKG9WKEDbL9XriswVt1/i9xQF7iQv
V7ohb1Vd4lcYpsCLJ/hn7sjHmelrhzooMGLwIOsEcvzBXbO3GimglT7w8CRy
7fjEaG0VBWwKlIq8Wfu/HNe9XESB7YsFzb6s/RP1WjY/pcDHB58XT7P2n9f/
ziONAqWh79X9kMNNr719cJcCqUajp/2RX3eqv/wSSQFnxiXmBeShM63ZfEEU
ePe2gxyILMYbdN/oNAWc3ltfD0I2SaXe9HejQNjxzRwhyOe2fLj81J4CcLU1
Ogw5u/7Uhf49FAiSi6OFI389IuEtiVGgVr2u/ioy50LZEcutFLjRUB92HXlL
zDHbKyoUENq8YnYD2Y3Gb15CpkBsQ4X8LeS4kpeGf/AUOGd6li8WucbaTovO
TQG/uCCOeNbvtX7JqnBGHux5THGJrPO5sGs7pUseRvdvVUtmnUdaPCWmRh7U
ckqcUlnnz2aAf/GZPIg8YWRksM5b0KZZt3h5MM/W+5vNOl+5Qd2fg+Xh5QXZ
Y7ms31Prh3f67vLwrcRl4Cnr98Mm+TLXSh7wVQHn81i/FzW3+2LbWOs/5ApY
/R3yL4fKyUPIc3pvEes8XF31GueRB/cHpa9LWe+/wMLWflIO/rulklHBet+9
iYY17XKglLGUXcV6vwLDShogBwXEEuY71vvcroVPeSwHvMEzs/Ws8+sWusQT
Kwc/U/WMm1jn9fanQb9AObhfpPj4C+t8lkt/6nWVg79nLVXbWf1/ehRZWMiB
BG7Puy5Wf4nCtGItOWB4VAX3s75vY/brNBk5iBQ+sHeY9f36Wp+9xSkHtW65
2BiyQnKK4/K4LKg/P2k9yTo/dT9NPFplwZ5u/t8c67zMaKt/KZeFrzJLtUus
8yEfLmn0UBb2CGlqrLPOw57m9Sc3ZUG34Hkp1yH0/i/K/pK4IAsUJTV3AWS3
HK8vl11kwWPhnBYeubr5TdnvXbJQZWxFk0SmrXI9dNCQhR1frmqTka+o7r/1
TkoWlnWmfGjIgwfTAzTZZMFizK1eBXnHlYmjqT/J0OxYsUcDOStP14K/hQy8
sr1z2sgcXZFbzpeSIWb9+TsD5GO8reSBTDLIq0kyTVj9t1B5rKLJYGsmOGiB
TD16arLEjwzLd8I19iNfjin7Tj9MBnPu4McOyAMlfNV3TMjwOeSvlSuy8fDB
ZysbyaDYsUY5iZwpmh3vKU4GD/FM2llkdqOpS60rMnA9cPZAILKrl+EJbFgG
gpmixZeRq+5F733eKAOqmnIW0ciUmnZdYrEMmLUai8Yhh03SFSLSZIAW+1zo
AXK/jJ/QVKQMYIcTDB8iY7uZ84dPy8CMo97DPOQMf6G+9/YyMCA1YFqCzJbp
8GELJgOROW2y1chHGx+9SleRgVcNpzU/IcPSbLKgqAzw6PJfbmP1VzKOCFgi
wdVXvLgBVv/9t3yHBkigpPu9Y5zVP6TLzqaBBDG7p4YXkBnPVLCyAhK8X23c
wuEgDOnt51WVU0iw02axVhh5nbOGEBdOghHGerI08pHN+JU1bxIYiQe/UURm
OjkPe9mSgC9KlKyFLB/1tKnNgARDAj4NRsihRX/f7FAkAWPSuHYPct+AaWae
MAmy8w4IOiAzcHejSQvSgFF8Mj2Q0/T6zkX2SsP34qPX/ZHXPNScZ+qkQZAp
Wn0F2SUucJfLS2kQSvfaG4tcyazTaEiUhiqpY9oZyHITYtLbwqTB5dqy30vk
EKIrR5anNISr7xBkIvea5o0L75OGzjMH2D4jG5391xqoKw17lQ7a9rH6p+6u
HKZKQ2/Hf/xTyKv1Cbn7BKRhmchNY3cUBueFwTsVM0R4U2mcQUCuoG3+T7WL
CDeMYyLpyLI2l9wSaogwwmHdvg35UlCDJftzIoRmrMWbI/fkSm3zjSdChBm9
2gnZsPW4fEcwEW7y27qeQU5lK+Db6U6Eu1u0zkcgr6qtT+dbEaHokR9bErKT
g2UXeRsRiFs6uPOQy68m1V6XI0L+nO71GmRywciLOR4ibCwIjO5ADu7dknh0
UgrGDG+JTCF3C1wO+9QuBRs6Qki8h9F9fnvTSR2QgsNJx/PkkB+4yRzIeSwF
BZ+9mrYhr9z2NMDHSgH7uc+XbJCdyosUgwOlYPrGENMTufwnh8hPVym4nS14
/wqyjMTexQMWUnBgK/CnIgcZpw4wtaQgTvYWsQS5y3esYaOMFMRKS334iqyf
vL0wkVMKRLYRyFPIKXURqZwTknDTxpIo7CQM/2ZaIk+3SoLm7cewAfmwvPyZ
rnJJCBinSJsjl+3xcTB7KAmZz+oUPZFlLpbueH1TEoT/VI9dQ/4vh0dN/oIk
eGva+zxG7mw+IHHDRRLm+nvy6pH1VjPWFnZJwoOhhuJx5GTVP6PHNCTh+Kbn
13HO6L56UL+lSUoSWh02qGohO165/laPTRKS9fhT7ZDf5n3LfvRTAq5dUvkV
hEzqot0ktEjA+10RhCzk/3jPXAgplYD7rdpy9cidWyqOjGVKwDFFf9FpZN2j
AuZ20RLgmRk/Le2C7o8x9lrVfhLA/UGw1gR5qSRHZtNhVN/ve+sUssPwNFey
iQRovjxtl4xcKsr4w60mAetqo9T3yNJGMe1nxSUgx/TTwhxyoFcH9KyIQ8hd
3S6FI+h+e0/pqfmwOEyo+H47gKxTcy6uqFEc8g/Vj0cg35+EYGqxOJy79I3+
BnlRBudxM00cYpqMro0hH9p92GYpUhzwWzuk5Y+i+5j/Yx330+JgQ8kYskUm
Zs5TW+zF4bXvm/EbyBcbdwgaYuJgbOyjW4v8fen23GMVccid1m5dRdZR6ukR
FxWH9ZniGh1X1H//hvdhS2Lg/L5C5DzyYkhA/sSAGGyY2wkFyPbPapMONYhB
xMrFnmnkN+2i4bUFYhB+9OVprWPo/sN1xGdzihjkZ54N9UcO2Pz84INwMUiy
DJQoQW53WjLi8xGDR7wFeqvI26N2qfjbioFFrt6iiRu6vxXFifYboM+bedjH
IP8d6F/eoygGLt4Vrm3I9rhNP94Ii0EdZZ1CO47uI3pBjQoLBHi1kZZ+Glny
xIfi270EqNK2G6lEvhAnkfGvjgD6XNzseHd0v2AeizrxkgAtr78uHUPeNvHS
72siAY4sZ3e9Qb5HXD3MCCNA9amEVzgPdF8ytdj5zJMAH9p4rp1AtjubuElq
HwFcghJPVCMXpf6QCtclAG+4yhH5Eyj/N2iyT1IJkL+/NzAE+fxCyJijAAHm
56i1fcjfaJ++1s2Iwsy1LAsTT5TnbaQrtLpEIf2VHekJckKQx6O0GlEYJIVg
oifRfSX39W2B56JgOZ3VEIR8sJUt8EK8KBSfTqn7iVzEZn1sMFgUnvve2HHI
C/VXT9lj7S4KtfPDlg3I/g4/t761EgX2oVNzRt4oX1/VllPaJgqbrhrsLkbe
WnCF966cKLhaltpv9kH5uffz1CqPKCQFPdR6gTwnINt5chIPmYPEX2q+KB9v
96r51o4HYnrEjZfIhW5vnhsDHnp+FG7QPoXy/x2uey8e4wEav7RXIPuX7wuV
jsVD7GaPHPPTqP/PNM+rgXi4F2qf9R15i8TEvmlXPHjmTQ95nUH51VhX39kC
j3LRjyC2s8Iw6xtJr9fCw7tE00tJyAeSvwpry+BB1TD2n7YfyuN1lL8ZnHiY
SCwQaENWHOkC6e8iMJ+2Whl4DuVdowtx049FQKlBW53qj/JtIt6jPlAEPNRu
e31Cdp96qpNpIQJcCfkxQedRvflOwUAZEYgpKXqy6QLKi5l9PXsncDByVPP7
MHLOcmC+SgUO3udoaGQGoDx6QDyc7RYODivp1B29iPLn87yD311wIO2wt4ge
iOq5zFXyNXBQ0LQq/hs523lo+RobDrhv7F4r/Q/lueJLjUdahGHapSL6RhDK
jyLEjO1ZwiBkcabVNRjlxRMFfiJoH78H1+YNLqF6sNw5aoKes+6ugGwIymPS
o1JMcWG4IfhDnSMU5T+/y2P3hoWgv0o/eAJ5sEGm4lSxEFw4c4HQHYbynULx
7V3XhOB7Gg+u5TKqD957TO6QENCO/Y35eAXlt29jWxdUhODr5J8XH8NRXlO/
ytu0JAhr2pp3WiJQPouU73zYIAh+F7MO9FxFeayv9PmlFEEonaknTkai/KNj
G3rQRxCSQlrZeK+jvHPnzz51Q0H4aJSorhiF8tWv63RunCC6H9+tMo9GeWqH
wt/uXgEwOz3b538D1adU1Be+FIDN7+8/fxSD8sqs/YOYMAEIuyNm2XcT5SPL
mVPH9wlA3/enQ3K3UR56GGNsQBMAL0OXJPc7KP+sKYmLz/KD9ZOfca9jUb1d
1ch4DT88kKhZ5otD+eLl4dKaeH74Yq684B6P8gzfwo0Ud34ofkB42ZCA8ovr
HZdz2/ihs3C3zfZElFdKN2ju4eUH19127M/vo3rCO06F73xwoituSiUZ5RHv
I23Lj/nAJ1jFPC8F5Y/apcdfAvnAKERIxyAV5Q1yfNBTCz54uElo/Esayhfn
N1lfkUHrUQ13/DLQPG/6QHGc4IUPwzWHZNB7Jyu7zWpW8MLWzL3nGrNRXghd
fcd/ixfyIVc06iHKB98T7w+48MLqzQF361xUr6nlXaqBPq+2nCX7BM3f6E+G
sWy8sJneurLwFM37QQ/8yRYeqB3Ve9z5HM13ffYhLIsHhiyGOz/koXken1JE
PMcDTdMBH6vy0fz8rX19yoQHXF9fe/WuAM3Lnc2OH8R5IOxPyrvWQjSf07zU
M4a54X3LZuPJYjSP/3KxXSzmBsf4UheJUjT/9qZ/sbnGDYNpWQ5mZaj+se5D
5UPc8CL7wKmrFWi+srcGrKtwQ1OOZudnJpqnjqcs2pe4YMtoRpdSNap/zSf7
soELolp4CqJr0bwSzJ6MTOGC+qKPqf/q0Hw6bljt4sMFphFO/YH1aB5WtMdv
M+QCrhNq5dyf0PyT9DuBw3GBoWmxf3oTqj8lpDfSywm5SiHWZuh3lvj+kVDl
S044G024vfoVzROKcV9CGCck3xS+VN2G5ldg1yvffZywj0Py6L0ONK9azkfs
pHGC1rH+sMBuNB824O1lZzlgNkND1acPzYPwp6rzNRywu+db9qlBNH+6TVc+
xXNA8p9Cg8vDaN5s7WvKcUfrTZVYzk9UfzMwM3gbB5C75lfbx9H/8xExf1te
Drg571NDnkT/vxl5u9S+s0PcObMBvxk0LxJ3S3M9YYe0sZLHnfNoPkwNjncF
soNnE5eP7RKqN79U+dqCHcyGLoX0r6D/v1lSsTdk2KHoytWtoej/TOvyKze3
CTYoz48e2syFg/gDltv0K9hgio1/cJ4XB7bPR/jEbrFBvfm1a02COBDnvtw1
5sIG3Ir31MpEcPDVWSavWoMNevSbNpSL4SCuuCgsmY0N+p2bulukcPBILuPR
j6x15nZX3bQVGRwoNrfuiTddZ+78+PqjAQUHDy/zT5uMrDGPYwPVd+k4oG8x
ujd7bY3ZWOo6uKaCg5wffvrZqmvM+LCmqMvqaP1ebv/+j6vM8oliaRktHGSb
dV/l8F1lXhp9MPtxGw4UlvAbC3CrzHqN6cB4fbT+dGeza/4K0+KoCP48hgOa
03/nRfevMKWKdUmnduIgS/glqWr2H/NwYvxqqAUOqMwh5pmEf0y7DirlmQ0O
Ms4Q3Snb/zGV3pX9nLTFAYVmJdD8fZlZ3ynCtHZE618vvwz9b5nJuz9J8MMR
HMhfLbbVIKP1QynbndxxkL5tfKm3YolZiJN5IeiN1n/Kp986ssRsNOxoazuD
g7QkW1Mj9iWmQPMeSuUFHMjtifr1O2uR2cOeOF8VjIPUlYpbqaaLzPJ9kTWD
V3AgmzezxWrkL3NE7epfShRaP6LcsXLtL/OBQ+J68G0ckEWdQp6r/mXqy++z
+JuAg5TqOwpOHxeYz9Q+77rzAAcy/u8+CPouMPMM847vzsZBsuKybxlugdkR
yiFOeYrW2zeJeefPMzveWL+TeoXWr7uVkPbPM/lVgn5plKC5pXffuWF2jmmt
+2nak4mDpPFPHP8lzDF3jX63qanDATGV/bHq9jkmbTrsPKMJB/ett1l1fJ9l
7m0ebO35hgMpNu+Z6//NMmMv7OtP68FB4qv0RB3yLLOv1VwgfBitu7Ua/KyY
YQ6oeb6L/o2De+L8g4lHZpj3NjlHFM/jQLLO8JoZ+wxT+cdgKc8aWg/wU/ub
Nc2s9n31PYhHBCRUc1semU4z426fOyApIgLxnV0X7EammDziZQ/apERAPAZP
5rk+xbzGNa9UQUHrhjurilSnmOQy5+MNqiKg3Dv7qeHeJNPm81zdmhbKBcbO
Uhs6/zB7+s+AowFyTp1rlOwfZsuOLdW9O0WAzrv5+c+jv5nFUfqGN2yQvZIW
zHImmCnrpKyjDiJAa+Qwzh0dZ35k+3n0iBvyZp8bPBvHmWKmmr+u+YoAJe7b
N/dTY8wY0eknnQEiIL9gRHn36hfzn1eY6KEryA6PvejzP5nvVKJvst0UAbly
0aJwnZ/MbNxadGsisnzQ+mDQKNO0i/NCa5YIkK/8MN/BHGGuHPxTypYnAjLD
VvGZHCPMz86bqhxKkXe/6WXbNcwUXt0531crAtLPKKpHo34wv0aUVcY1I+Oi
zzE/DTEfvRa6er5bBIhnZyvk8EPM62OZeVd/Irc68YUcGGR+PVeVUTsnApLb
6/b33BtgRp2uOpLEhgeJZI1Ug85+ZrrewLafPMir90dTZPuZu49H89gI40EZ
uI4vVPUy72v2rDWK4UEpsn2xcHcPc+mjuY07CQ8Klk9vnvvcxdxmEK0kQcUD
lXCJpmXXyXwR+KCgRxkPlO82b6a6vzNtb5dTmJvwIJ9Gs3zp1s5cbXdJLdXG
g9zx+X7fsW9M7wMbbBsN8CCz4cN5tbOtzByJ2dPLJniQnkoWGP/7hbnSUkgy
3oNyarFv+pOQFqZW+M1LmfvxIBWMbfXkbmbyaZWAjCMeNkYo3bUiNjLTuq4J
5qMcqoT/VNag2MD8cfFYhMtJPNAenB022/KeaaVSvlf5LHo+FSmRd1gtUySI
kCCAcqx0YbnODusq5tTIqD/fZTxohtXWhrwpZ/Y6MwnUKPR93BchBn4pZuoL
Ee/Yohwsl+/ofe53PnPK6KRwdhIett3Zc6kL/4ip7if3VCgLD6ZhNWYZN+OZ
r6LiImKf4oGwFnbo9RZPxqUtom81X+NhgDkkezM5mZF2vt7jdxkeVl8e/rlP
6gmj50Trw9paPPDDYEbemQJGv7R67JtGPAg+TrQqPFjC8HyUZ1zXhp73juVy
qV4lQ9lf9PNUHx6EysO+9olUMx7m/LTZ/gsP4pu7nhzjeMd48iq9I2kG9c/R
Dhuee8/w1r0YRlxB75t4x85ztIExs3TN/jW3KMjGjKmNdzQyiv4Vn/ESEQVc
WBb7do9mRtt4RbehtCiIvv3sc7GvhTH1kP5MXUEUxOZW2ksPfWXE/cbGdNVF
QXzTBpN/La0ML3vt3GPbRUHK0z7PYE8bg+fY1O9cY1EgZkVIh9S2M2QrN9bz
W4oCqftVBNOwg0Gp895x3U4UZCT7JtnedDJ+0NddFVxFgbxX6PCOzd0MlWdr
m7q8RUEuWrcu/EkP4/oBq5cvL4gCtdZD8x2tj5Hif38047IoENbNrTmt+xml
lENdeTHID/o5cwQGGH8LPsd0JKLn1Q0oNX0/wOi+jlulZKPnbRM+PRw+yFD7
ObXxap4oSJzLoUdiQwwLPJXI8xYZr9+ptDrEOHWByMx+h/bzouX2+9IfDLIa
VdalBdnCc6fnhWGG4Gl7de0etL/RtWW+LSOMr67Pfqn8EgXpiIT8J5MjjPCJ
QQvdeWSqmofF81HG4dqU3R7sBCBVVsuMe/5kfEmy6ngpTACZww4tNxR/Mea9
LWckSASQXZyMVBv8xdjH9vHafSXkhEiDxrQxhm9IT8z2LQSQ05Kd8T08zuhS
D56dYSB/fp2LI04w2OwinzdYEoDiY+H8snWC4W/0LrfSAZl/gLA39jdD3Gby
a5MHAWiPAj5MWf1hvLV+JvfvHAEUTHAhsQKTjGhmnL/JZeT+nC1a7ycZH+31
qnJvEeBuZar/L+MphsW9jZPKDwhAED75WTdjikE5OzNa84QAcYe3bohem2L8
kEVB+Q0BxJ6uR3Q6TTMkZvS7rN8RIH6xoW9D2TTjveNktuFXAoib3dMLkp5h
eI4NfDUbIEBCgmvCx4AZRkxQi43vJAEkfqhNybTNMApO3P33YhWtay1a+Gyd
ZYw2i73lFxIDycs1D8vvzjI2rLr5hpHE4N7nW2zC07OMhOrCBVFVMZCSczzs
bDPHkOE8uq1yuxgk+igWv3gxxxjbNiF4dZcYEMum8GuC8wxTLlE7j4NicJ+/
3Nvaa57RPVQ243ocrR+6Vpf2YZ6R0yzODDgnBkmP9lMnlRYY/9jDE3OviAFp
XjaYcXWBsfflK/vpWDFINvnVdntogSHTHd9pm4nW7xZq9hv/ZVhtPLXcki8G
Kf2hMZsz/jJopS13PEEMZDT2jIat/WVcWn56gdiM1i9J7mhxWmQUZRhHDPSJ
AfnTwANq2SKDeNkotmZSDFJJL/6elV5icIfm+1eui4HsyYv7qwOWGKMBotxf
RMQh9Y3JC0LbEkN08x7imrw4yPGI8LltXWY8Z5SH79gsDmm2ncde311mDK8Z
kNMxcZDPfljBOb3MCD1DLxbbJw7p02eItjb/GOwbrBQzXMWBghmcy3nxj1Gq
QzI09ROHjFu8TXOCK4wmjuDm9StoveeLyk6vFcYLhflXX+LEIXNjWnjChxUG
t0n66/IccaD+d7J3WGmVUTGskVtRJA5ZH7bqbru6yiDorDp/qxMHmhRbfOTQ
KuNwM8cTzu9o3f3jnzbjNcaLkyOHdv8SB4XCe+bKGWuM3oQVw+xlccjmOJYT
sLbG0POwUhEXkgD6PvX1907rjBMCSaPJshKQk77oQCxbZ/Qed9qzXUMCCH9d
HQuF2LDz8d9ovzAJ2J/2/lq3PhsW6cdnmL9fAuJ2qhdxebNhktw1njHHJeDr
xN1BtWQ27OGPTP9LFyRALH5R5GA9G0ZOENcIvy4BtvouhpcW2bDQFleP1GQJ
iB+s8XqozI79rH/28+NzCWiNUr3faMeO+R2YC8cxJUBc8/a7+avsWCU/lce9
BdV/n5uRLWLHklzXDT4PofpQR8quH+xY9vPdC5YLEvBNCaxOiXFgXsKP1nv4
JEGiSTHo3g4ObPRwodIVGUk4eP7G48qzHNjUEq+u7iZJSCBPfxvJ4MB8Ezdz
cRpLwrcaO06RZg5MeqT8YN8BSZD0Lt+8fZ0Du25g9K/RQxLsCDSXI5s4sX0q
ltVNgZJwr/TajWvOnJj45LWLAzGS0Hb0d8nLGLS+lj7OnSEJUnwHRtrLOLEG
8wO/9F9Lgv3LEjG2cU7M/b4/I7xOEhLt5IxVSFyYK/N3WVeHJLSvhp/aa86F
NX6sVtv5G9U//JVy8SIXpkCSOMpkk4JDljb1Gblc2PJhJbqFuBTcny1c+NDG
hZXfOGw2rCwF35NJ9Glubsy+iXH/jr4UEHeE7ZPW5sb6dlwb3mOD6n8Nhxgf
58aoILom6SYFSXf2PD8Zx43Jhv3On74gBR3bX3XEVnNjZ0sdGruipUC6T5L3
7TQ3Vq5UT/uWJgUOkcFbByk82FzQj7CeAlSvPugqsJcHa6yPeTNXJwWdrWa3
tUJ5MI3PPfdIXVJACn5R7pjHg33X2TxpPSkFjgpiY1d6WOsysbGcREhuuCj1
TIgX878baDUoRYSus72mX/V5sX3v3OcxNSLISJv6/fPixeaGjR1fYEQ4DE/S
FZJ5sbqEYivlg0RIOSHSuKeeF5s4XZSZd5II3bjzy+cWebFnTf+pmIQQgVzc
qfxAmQ/7FHq78MddIjg5Ywdr7fgwI88GYlwuER5wPboycZUP45Lar2Jdjuqf
CeaLF/FhuWZpxRItRJA9cLbH4Acf5mAbmPhrmAjOy20C7mL82GQie3r9MhFS
Mw10bu7gx4aZTzOLRKShZ3eWe9FZfiwdx/B/QZcG2SneuJ4MfkzsVv94vq40
uCT6AnczPya5RaCXaS0NaUZff6uv82PB03conW7S0DusI2O3SQAzqcqJWr8o
DXI303aHOAtg6/Etkxq3UP1WrguPYgSwKmO2Dd7Z0pDedTK7qUwAKzwUIPKq
RBr6rnxuXhgTwB7MdAWwN0mD/AbtNTmSIBblq6XvNCQNR1qSN5qZC2K/yX2a
VYvSkHGRzeH0RUFs18SjrZtxJOiX94hMzBXEiudekp8okIDy/uNrZpsg9oj7
Ss1GXRIcPaU5MMothDVTeDlLrEmQIZGIw2sLYR2/bhRZHSfBQPmKvs5xIayK
H4omAklAPX7s5NE4Iex0ZHFv/G0SuAp+uHe9WgiLw40I7npIgswC9dr8aSGM
oKcqzVZGgkGHuOnvFGHMmVk5WN1MAhr7khz7XmHsY6r5zlsjJDj22MVSNVQY
szdskT22QoIsm9rAfXnC2GR4lbkRQQaGFlRzA3uEsbT+sUc0FRlQSLvdmimE
w95bXhETMZIBt53z7A36OKzOhHqK01YGsiccNWa8cBjp1buE9ZOoPg6cSMk4
7My3lpOcYaheXyl6Rz0Oq6EJNeDuycDxwRtvvBZxWKtI+j3qcxnIiZr+cVdZ
BNs6RMzXr5aBH5vtCWV2IpjqBe+/Tt9lgP69nDF0VQR7MDludfUPqg+l+QoW
iWDHAvYnFHKR4aHS9eQtP0QwwcHSl2MkMsyMLAy94Mdjlw6mhyprkiHu7ZNl
YyoeixsZGPUyI8OWW06ibTp4jGdz9cdCZzJ8dRVR8dqLxz4ODuC4/clwTrva
aO0EHtuw1yThcDQZxPjPH7wbiscafu82Kckgw+tuZR+lRDw2/LVwlfSGDAfy
O6+8zcNj3dqPn4Q3kmE2/GaSdR0eO/UtS21miAzx9lj+YA8eKz5zxcdjmQxb
N87WXZjHY3obr9j042Whde1hj4CwKKY5o1t+RFkW/L8cmkuji2KM7tSkH4ay
IP5IUHCLgSjWGrHadMpWFgoDK6nvD4hiHm6cpmtesmBrdVbnsLcoVixX2H/3
sizMUeg2k1dEMatu35tq92Uhfq7NPTxZFDsTM6r1MU8Wtn6ICpYqEMVytDa/
PfVOFr6lGMQ9qxfFBDbmCUl1y8L505NPGAOiWK6PnHjtjCxImGTB10VRbOBD
3Nvz/HJQJHmw/QSegBmrXBjbSJGDg2O8f/4pE7Dy2su3RrbJwXzFW647DAKW
5VoX+9BKDhJifWXo9gTM7vKjPs/jcqDtTtEqOUXARJPa3DYHycE3na+7LSMJ
WNEOJ4GVWDk4LxR5pD+VgM343GR+fCwHkv06F/yLCFh7lMiZdKYcFL8ej+Fr
JGCLZW18AW1yYHctLfvBD/Q8HIoB+3/LwYLjvrebVwhY/rGox5pc8nBvE1dL
rZgYxiPeFy0uIw/bON6MHtooht16ZCn0T1Me2r6dXJvYIYapq5nIDO+WhwtP
yBKXHcWw+iOXHn05Ig+Slz5vlPATwzZ+WntQc0Ee3uy9suNJlBgWNEP48+am
PNjTtR0MM8Ww82cso17myMPfv6OnW0rEsNNKES5Py+Qh8WNypHuzGGbm/N35
8Rd52J5ulbo0KoYdm3gW8OSXPLT7sRXeXBfDBl/ub7Jjo0DArtcNVClxTEuk
3aVTkAJSJI+Bok3imNeHRfcjUhR485u4aL5LHFOln+oeplHgUNVHXK+zOKYU
J1zmu4kCi/Ehin7nxbFdOxqXF3QpcN9T04Dnpji2llcdf3knBXQMfuxPzhHH
JA1oV4T3UeC7SOLJTeXiWFudUXmyEwUuDpmHVX8VxzINogxUPSlAfLNyz25c
HBPUvLNSco4CJdEvX4xxSGBn/dfnzUNRf5djtSEkCYz8LJ3WHU2BJU2JLoKW
BPb3x8Hg0/cokMT9YfqRuQTWo62wyplFAd2O//j0XSWwKGt6etILCnQ8V5f/
fFEC2ygZ67S5lAKBYf3abncksHzTco0PtRSQto2z/JsrgZWsEsRcmylQqrzL
7QZTArP0IbP/66KAw7/FQPl2CczmSOBcwijq3/Tszus/EtibkaFRzVkKJGe5
5JrxSGI3pje1Na1RQO+CaGWXrCRWOLHzrY8AFTrNa1tPa0tiWcfUbgtKUuE/
2YBxTitJjJmyavOMSgXStCrH/eOS2EfGxN896lR4W9tNVAuWxHgWja/81qGC
4/3bGhAniZkTjozdNqXCsveOXbbPJDF2xbcbt+ylQjJj3ulntSTGV9hn3H6Y
Cnpij88Fd0pi/7WdVQk+gfqPOEbjZyQx9x7lLuo5KgS9Fc7M4ZfCAv41HvwQ
QgWZW/BGhyqFxf42jT8dTYUy13NNn3SksEM5l+9K3aPCYW2l4aN7pbCCPzGW
kEmFf3wd/+ZOSGF6iuGVJ19QIaX7BiEqVAp70xb3Q6yUCvr5RqqyiVLYhfPs
ZZW1VOgKn2a8ypPCiripRl7NqL99jt3OOils5pODl2Q3Fcgb7X07eqSw3RyK
BjWjVChf44/wnZfCSkKF88/MUsHpS3kyuzARu+j/slpunQorD0+/SqATMW1i
yZlGARo8CKR9UDUgYvZHhouDJWlgYPWtt+IAETPM576rRqNBN+X6/D5vInY2
6e9atzoNguf0hEauELGB60+Wb+rSgPzhN+2/ZCLGHSF9hbGTBhUpGbq4AiLG
O2B7d3ovDZxPH9ibVY8+z3ZRJceJBqs7eE5sGyBifgJ5xvaeNEiVLL3UsEjE
Yh5t7hLwp4HhmHe8C14amys3m6kMpUFPhdyzGWVpzEnLPOLcDRpcim2pimRI
Y1a592+pJNJA1j3iO8leGuPQycX1ZqH+Otsn805JY9qGs+zxeTRwERrjNomU
xnqF+Tws3tJgre8BuT1VGuuquqTDXkeDtNc2W7yLpLGr84sXSlpoYHSNw2L9
E6q/tUH+TA8Neh2Ljsb9kMYeh37epPKLBiGbPAOUV6Sx/Xfzs/vnaCDHIXOr
TIyExW7ICkpiU4DKb405NhtJWD0+onC/kAIceRJWNrSDhNnpGVsKERVgPXjL
lwBHEuYb9xmrU1CA9L0jPwX9SNjHeo07YRoKwKAnradHkTAzoq+Ovr4C9P3d
I7k1k4QZiqVuX9ilAKEf19Q+lJCwxvN9N17tVwD59FcmTs0kbHrSeYuviwIw
/Y47To2SMNf5PWqqXqj/LqmzEeskzObmiP/wedRfuuEaUUoG+0nzF8y6rAAZ
v4PTnm+SwZ7amf5xuakAWJVGEbZLBgtsfilDTlKA/vjBj63OMlgEgXi3I0cB
wjwTBj3Py2ATlqM2ifkKQDHYvbQSI4OpaN05cLBcAUDkn0hsjgy25dPNFLEP
CnB06IWSYrkMdna/m9KXrwrA9uaoYelXGWwv24OZO32of7SYrdW4DJY10bBm
M64Axi51XgMcZOzVQLS5yF8FGNAMvHyeRMa4t4W0NHHQ4TK32n1+LTLW8dA6
4RaODtSO3rxUczJmov4izppEh6rnse80XcmY8NC+jzglOriGmXa/u0jGNrX+
0/usSQd2278zDnfI2FzfmYHbhnTIVH7K/yeXjLXGX6rYa04H439OlCtMMtYp
PN8oepAOg00i2yXbyVhZc77o16N0uJJVbfX0DxmLen7nWrwPHWgXzh834pHF
OJL+22R3kQ7V5ipBX2RlsYv3HLmJEXQ4JtsV66Eti+2/RRPsvE0Hjumbj5ct
ZTHlrQ1GD1LokFWLMW8dl8VOjFqnu+TSYcf92W+0YFnsXsLrjdTXqL/3o4ni
OFmMnMo2NFSJ+jMcOPc8k8WS801qHzXQQUFMiNRXLYt9fnu76WQbHWpGKjef
65TFOGtW2NQH6eD29qwZ74wsttKS6zj1mw6ct+guKfxy2Ln2gs7XS3TIdm33
16DKYUJ3TMMCuBXBRDv6Ro2OHNbsfd1CX1QRhvgMs+z3ymGK5/N01smKEN49
WTJ+Qg5j6Iyb16gogkJ+1ufQUDlM8FnApWtbFaE2/OCIWKIcligR+2UPpgjH
7flWc/PksPHli7vxlorAtbFMzKBODrPjON/baq8IOWu+G5p75DC1gaa4JDdF
MP1CMT4+L4ctmbaecDmtCD8efrVfFJLH5CrbHBSCFCEiMPJUDF0e63y68eTP
SEWgW+lepRjIYxU0tYQXd1F/ykRK4QF5LGJwa49fmiK4z6UV7PaWx47pPMJ0
nioC94d99d1X5LHUqaHK1SJFeJjC1X8mWR7L2nHQvqZKEXaefrPAVSCP+VQe
549qVIThHV7CSfXy2D69sFbrDkW4KilLVx+Qx1SriCXiw4qgOPZZr2pRHmsL
y3rdOYW+L5eqxxv4KBi1NL4uY0URXn8gFc6JUbDZpyenPPiUIFzLn1kpT8GG
r6VtVhdXggMPGhuub6RgCsdeR87KK4ECj3Lb/u0U7DF540zpRiWYPR02QDah
YHWHb/iFbVeCmo6OiRFrCsZ9wYnXzEQJ4ky2LOY7UrA97qr5wjZK4PYihjPI
g4I5loT6tDoqwRapEdxOPwp2N2JSP8VDCTgvM0giIRSM85Cg3DE/Jfg6dl+x
I4qCfdzoSVANUYJs25nN2QkU7JVdKnEqSgn+B5uMR4w=
"]]}},
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6]}, {}}}, {{}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-13.30346904480762, -11.864301229660546`},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-13.30346904480762,
8.292260675031065}, {-11.864301229660546`, -3.667516297574863}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-11.512925464970229`,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {
2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0.,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.210340371976184,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
9.903487552536127,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
10.308952660644293`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
10.596634733096073`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
10.819778284410283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.002099841204238`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.156250521031495`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-11.512925464970229`,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-6.907755278982137,
FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
0.}}, {-13.815510557964274`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-13.122363377404328`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-12.716898269296165`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-12.429216196844383`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-12.206072645530174`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-12.02375108873622,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-11.86960040890896,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-11.736069016284437`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-11.618285980628055`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.819778284410283`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.41431317630212,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-10.126631103850338`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.903487552536127,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.721165995742174,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.567015315914915,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.433483923290392,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.315700887634009,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.517193191416238,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-8.111728083308073,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.824046010856292,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.600902459542082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.418580902748128,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.264430222920869,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.1308988302963465`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-7.013115794639964,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.214608098422191,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.809142990314028,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.521460917862246,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.298317366548036,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-5.115995809754082,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.961845129926823,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.8283137373023015`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-4.710530701645918,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.912023005428146,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.506557897319982,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-3.2188758248682006`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.8134107167600364`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.659260036932778,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.5257286443082556`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.4079456086518722`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.6094379124341003`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-1.2039728043259361`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{{3.79935070574265*^9, 3.7993507225615797`*^9}, {
3.7993507624804688`*^9, 3.799350838444585*^9}, {3.799350870006257*^9,
3.799350875356887*^9}, {3.7993509205793753`*^9, 3.79935095418456*^9},
3.799350987142921*^9, {3.799351231499477*^9, 3.799351241617291*^9},
3.799356783447269*^9},
CellLabel->
"Out[1871]=",ExpressionUUID->"d07e6736-1972-4953-8b4f-169b4bad024d"]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"Export", "[",
RowBox[{
"\"\<~/doc/research/thesis/data/essential/2d_scaling.dat\>\"", ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",",
RowBox[{"#2",
SuperscriptBox["B2D", "2"],
RowBox[{"(",
RowBox[{"A2D", "/.",
RowBox[{"solA2D", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ")"}]}]}], "}"}], "&"}], "@@@",
RowBox[{"N", "[",
RowBox[{"scalingDat2D", ",", "60"}], "]"}]}]}], "\[IndentingNewLine]",
"]"}], ";"}]], "Input",
CellChangeTimes->{{3.799266816993194*^9, 3.7992669408163443`*^9}, {
3.7992670106668262`*^9, 3.7992670119294443`*^9}, {3.799268304857831*^9,
3.799268313569353*^9}, {3.7992683536177*^9, 3.799268357194031*^9}, {
3.799268670920945*^9, 3.799268671727648*^9}, {3.7992687748262157`*^9,
3.799268777889553*^9}, {3.799268877973468*^9, 3.7992689004675703`*^9}, {
3.799268967437495*^9, 3.799268968852703*^9}, {3.799269278164113*^9,
3.79926929046101*^9}, {3.7993501543329268`*^9, 3.7993501851725187`*^9}, {
3.799350471365326*^9, 3.799350473147019*^9}, 3.7993506733662853`*^9, {
3.799350846696065*^9, 3.799350899949189*^9}, {3.799350933675035*^9,
3.799350940081938*^9}, {3.7993509954754553`*^9, 3.79935100385106*^9},
3.799351248602981*^9},
CellLabel->
"In[1872]:=",ExpressionUUID->"d9c6b155-8a55-440c-a1b4-bed783231bdc"],
Cell[BoxData[
RowBox[{
RowBox[{"scalingDat3D", "=",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{
RowBox[{"10", "^", "x"}], "/", "B3D"}], ",",
RowBox[{"(",
RowBox[{"\[ScriptCapitalY]3D0", "/.",
RowBox[{"Y", "->",
RowBox[{"10", "^", "x"}]}]}], ")"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "5"}], ",", "4", ",",
RowBox[{"1", "/", "100"}]}], "}"}]}], "]"}]}], ";"}]], "Input",
CellChangeTimes->{{3.799350674322228*^9, 3.799350695078784*^9}, {
3.7993507251592417`*^9, 3.799350874290805*^9}, {3.79935094752299*^9,
3.799350948026086*^9}, {3.7993568498805227`*^9, 3.7993568499584312`*^9}},
CellLabel->
"In[1873]:=",ExpressionUUID->"15f81a35-e3e5-40e4-9eaa-ed0673a08c44"],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"ListLogLogPlot", "[",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",",
RowBox[{"#2",
SuperscriptBox["B3D", "2"],
RowBox[{"(",
RowBox[{"A3D", "/.",
RowBox[{"solA3D", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ")"}]}]}], "}"}], "&"}], "@@@",
RowBox[{"N", "[",
RowBox[{"scalingDat3D", ",", "50"}], "]"}]}], ",",
RowBox[{"Joined", "\[Rule]", "True"}]}], "]"}]], "Input",
CellChangeTimes->{{3.799350680681448*^9, 3.799350721550173*^9}, {
3.79935092016464*^9, 3.7993509289217377`*^9}, {3.79935125312995*^9,
3.79935125397648*^9}},
CellLabel->
"In[1874]:=",ExpressionUUID->"6ef84e9f-25b9-4904-8d1d-a36d09e5ab75"],
Cell[BoxData[
TemplateBox[{
"N", "meprec",
"\"Internal precision limit $MaxExtraPrecision = \\!\\(\\*RowBox[{\\\"50.`\
\\\"}]\\) reached while evaluating \\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{RowBox[{\\\"{\\\", RowBox[{\\\"0.000022461507775412616`\\\", \
\\\",\\\", FractionBox[RowBox[{\\\"5000000000000000000000000000000000000000\\\
\", \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
FractionBox[RowBox[{\\\"3\\\", \\\" \\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"10000000000\\\"], \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
FractionBox[RowBox[{\\\"59999999987\\\", \\\" \\\", RowBox[{\\\"Gamma\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"1000000000000000\\\"]}], \\\"+\
\\\", FractionBox[RowBox[{\\\"11249999997\\\", \\\" \\\", RowBox[{\\\"Gamma\\\
\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"1250000000\\\"]}], \\\")\\\"}]}], \
\\\"5000000000\\\"]}], \\\"+\\\", \
FractionBox[RowBox[{\\\"359999999862000000007\\\", \\\" \\\", RowBox[{\\\"(\\\
\", RowBox[{FractionBox[RowBox[{RowBox[{\\\"ExpIntegralE\\\", \\\"[\\\", \
RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
\\\"}], \\\" \\\", RowBox[{\\\"Gamma\\\", \\\"[\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
\"50000\\\"], \\\"-\\\", RowBox[{\\\"3\\\", \\\" \\\", \
RowBox[{\\\"ExpIntegralE\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Gamma\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \
\\\"20000000000000000000\\\"]}], \\\")\\\"}]}], RowBox[{\\\"27\\\", \\\" \
\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"10000000000\\\"], \\\" \
\\\", \\\"\[Pi]\\\"}]]}], \\\"}\\\"}], \\\",\\\", RowBox[{\\\"\[LeftSkeleton]\
\\\", \\\"49\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"851\\\", \\\"\[RightSkeleton]\\\"}]}], \
\\\"}\\\"}]\\).\"", 2, 1874, 1195, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.799350920425913*^9, 3.7993509540751743`*^9},
3.799351259281644*^9, 3.799356856837104*^9},
CellLabel->
"During evaluation of \
In[1874]:=",ExpressionUUID->"0ce18cfb-5e54-4e7f-9f6b-06b05e676f63"],
Cell[BoxData[
GraphicsBox[{{}, {{{}, {},
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJwVl3c4Vu8fx+29t8d6hr335rmLFBIpaSqlgUSaiqjnQWRTVhGZyYxEdH+Q
rK9IJELJiFRkhBQ/v7/O9bre5/68z+uc+7rOOaTjvs4nmRgYGEKZGRj+fxS2
adq/84wCCJ9VG5Z5QMNWQ54Otw4rwP5of4uHm3zBX2DrcycF0D0mn6+QQcOP
OKoNf1orQO65w+olm/wu44iavIkC9JpmfzLJpGFmAxbiQQ0F2NUw8651k/U6
HovEkRSAleeh9KGHNHzCfTfna1EFqO1L7Zzb5MTl5X9rnApAM1Vdi8ii4abo
jHmddXmIviJVq5hNwwuUbV9Pz8uDXeNTuZZNptTOfHwwKQ9tis+3eD+i4T1O
Cd3vBuWB+YavoXAODdMmjZs5u+ThyMVcEbzJFYGfaqhN8pCSWbxwLpeGvwiF
lVyqlofKwlMz5DwaFipUf1RUJA/JsRYiHzd5K/Vd8mimPBye1Q5Pzqdh/76A
KPEkecjx6T2yv4CGs72JNx1uy4O81t4KmUIa7mFsuUQL3MyPX838uslMKT5e
NX7ywD1ZgJ49pmFdTZGjsx7yIPdvrjyiiIaPv6rdo3BAHpKIzALHn9BwwkH3
HYcc5IFn1PwqtZiGG+fYLeK3yIPP+GMOcgkNz4eV6LQYyMPqKs9nzlIaJsu4
KP5TkYdp60GZ5U12frpG0JOVh6GQbV+my2j4lm02v6eQPNzz2LLrS/mm/6cd
LJls8mAhHEr7XEHDo5dmV3r/UGCjKi5n/OmmP8+9H1yzFKhVqOj9WUnDW7LN
v6AxCoQ95zTeqKLh88Zj7y/3U8BRPnZBtJqGs95EdDzpoMC+cDENvec0/NZD
G75gCmwPd+F2raFhxrX3lRKVFDgbN1V1s5aGdeKDCncVUGC/yX6Xpy9o2F1J
PoN+nwJHXsoKf6+j4fj69oTaOApsyy2WVH9Jww17zofP0Sngfv1C0gVMw7+m
xQMVAygg93K0tBFomBTy0u+wDwW2fPZPlWyk4d1iJ08muFNg18Wy4KtNNHzz
CffBVhcKtN4wSfj0iobLt1bsWrelgMNUK6Pj603/D/ut9C0p8FbWnKGlhYYF
fTeMvHQpENqbCtvbNv1Z89QfKm76/ZC48rZ90z99J+k9gQLmd5UOePxHww91
FkR5+ClgE+j/gOENDXe3pHJtZaaAtPX363ldNMzghjauLJOBQaxPY99bGtZe
nFwoniHDxeONP/jf0fCxyOipsU9kSB3MW37XS8NxRP1hyV4y3I0cvJ39nobh
2eBbx1YycGlTPl//QMNzO2++Dq0jw2hNncWxQRomjim9eFFGhhmG42OOQzTs
FPCm9FcOGebKXETsR2g4hP9SjlIqGRpPeos6f6bhslyp1CPRZNBgEdQ4+YWG
P5s1RifeJMMJq/2P6OM0LNBz5lbbJTIIXGRoLJukYXSG/8qGJxnaQ0J6p6do
2G+9ytvAjQynVASVtWc2/ZMOH/N2JoNeQDU3/cemvyqzS5YNGaxuOnZPzG76
NxTa9puSIXlncqvL/Ka/q5MlrxYZ0sRMbXsXafjoj9+6VhQymLd/LHBfpuFY
2gOlAHEyML2QR+urNIwlraVLuclwv6zT8/FfGp4t/SYwsUECRrUnt05t0LCc
TTyr1CIJjm+8nNZlomPHIaM/TlMkeGVgxiDASsfB/iM/w4ZIMKmfqrLOTsel
HKFjdd0kYKZmd/zjouNPGWof5l+RQMPyxi5+PjrmN+j5T7mGBITRBmk9QTqm
dlxtcCsmgSxv0CNPETr2dZd7lpRFgqp8W+en4nScudz8uP0uCe5WHEwXkKLj
ruizmQyRJPjefmfhpiwdb1CEkwxvkODqil8PO5mOtWprbp/1J8HzqVMV2Qp0
fNTpWFD2KRLYBj0S2KNCxzGTbP4fDpIguMXGR1KDjl8GFp/icySBkPtZ+9/a
dPxTaO8haysSHNC10PmmT8eyhX8crxmRYNd9xoIlYzreRc2yLlMjgbGIvrmk
BR3f6NtuMilHgiiVpCCXLXRc4v1TQ1qEBGkbJhuPt9HxCONdsjMHCQRNHrsS
7OiYL8VM/PZfIvx35BsxZxcdW2p+4X45R4S9FXdXduyh43OvbjMsjhPhyN35
YM79dJxxUGtJZYAI5/ZwHJ48TMdv5vqmj3YS4czNKoPP7nS8HhY4creBCLcG
Xtcsn6JjTRnKu44qIthm86VqnKVjt6dtLYyPiRD1IPD2rfOb/rZ+dUYZRJCK
NNyyfHnT/5NYuU8CEQi65SFRgZv+l+pzH4URwVOgncPq1qY/j0fawDUiLMSN
Zkrd3vTP5orl9yUCz/SSgHgMHQcZl9O2nSCCf+xLNcMkOi5+43r1uisR1g+1
vgpIo+Nhj/Wz5fZEWLNJqPrykI5513Lcv1KJcH3o8dD5fDq2iLffJ6P/f783
MsoldOyjNG+3R5kIXB6sx9mq6PhBfQo1QpoILq2vknnr6LhzD1UfCxDh3i3e
p5ZNdPxvekJ5iYUIhz5GF6e10/FBBkmzffNyQFNtCiP30HGt+in5xkE5CD8m
bd0/QMeEA095NZvkINhD5lfNKB1fC2VYTi2SA0lLWmbHNB0PlDt8Zk2SgxYp
z9O883RsOpLWdj5QDgbVz50O+UPHqVxTFcMeciB9cuiVAnMoXjU0uG/rIAdf
ZbqL1rlD8YETt0KrDOSAsfCYI49oKK6J7TpHkpWDPV1t046yoViyTnp/NJsc
MGy/V9euFIoDpjy3rP6UhTqlDoEbOqF4QKRa9WS/LKgfEjHyNgvFxltYRN5i
WVghzIcnbgvFqT67/5kXyILspa8nVhxD8UpqxmRBnCw0fy/USz8Yive/nukS
CZCFdjXnM0EnQ/HzeeOaEHdZUB6Kvv7QLxRLyIVlf7fdnJfVM8saGIqv2r+7
s19XFrTsE5xKw0PxhyvES68IspCv5qebkbjZn+Pjps0sCy61V/R6M0Nxcnft
9vszMnDId++a85NQvPyXXYejVwZSZiPNpGtCsauKC+FinQycDH1aqvM6FFe7
ZDN/zpEB6nKVzN13oVj81ux3+2gZ6Ktn27djNBRfKTF/X31JBm7mTug5zIbi
/sEITHGTgRufHzzI/ReKjdj7C2JtZMAtqYW+hycMJ+vJJ6xpysCfb5GT+6XC
8O+j56+fFpeBd8XjHdWqYXhf1EuPdxvSQL/63dbfNAw/e869izolDfsipW9F
2oVhsYn9RkXd0rBkkp7NdCgMXxbMI4rXSIMmOWxyyDsMv7dY4KRlScMFNuo9
qaAwbOiFFn5GSINnQC17Q0wYvncveuigvzT4HezO6Hq42d842Pz6oDTYKMV0
2j7d7J9VKtW1kob9RndEdF+H4SqpSykZatJgNGrJfGdgs39H400uEWn48Wi/
seuPMHzpIr/35b9SsOZAOJ7KGI77Hh7e+2VcCgQtKy33ioVjg85Ci12dUsDa
8Oh+pFo4vrv6W7G2Sgqu3BU+RN0SjpcUrAUUM6Qgo9TS65JrOHZxjl+ND5OC
A6Z9HVrnwnHVjZEv/85JwciPE4nnQ8OxaJHaf56uUqDSVD9p8SAcX+y/WtVH
lYJ0sTPryVXhuJf5dcYWZSng3cKpSHsTjvW1hW8XC0iBzsuBOqapcLz5Ojov
uUqAnq/ihgSm23jxdvHB0FECuBy8IdkpfRvvrfpj9auNAEzc9cxyxrdx5eh2
jSMVBLimuJQnvPc2FuG7K9aWRoDBJqOOEr/b+KLplw19GgH6brA7Lkbfxu9O
aU0/9CaAGcuw0lTRbayXGNjDs5cASY9Ljse038aJuO3FVXMC5Mtel5+Zvo0X
ZsRyx+UJ4GrR/5iJKwLvkfCIceIlQKJy8M4B1Qj81Lr8St2SJHwp+hZwYWcE
Fj6/fkx5RBJUGSfq+85F4AsP7O2SXkuCEI/yS5aECPyuLUWPoVQSYghrZqzP
IrDe7wnps8mSYG/XJzK0uTcTyHpsH4IlIT2R2SqGIRLP7wqZtTojCck5ziNE
pUjsfL3zQ6mTJBxKqJNO3RWJK/IJjVImknA5iLDn7+VILNR7uiicJAndZoNL
jg8jsT9DVdICpyTwKz9PTW2PxD3qTDeOzkvAa8mgxZGlSKx7wPF0x6AEjFbD
sAL5Do4Pve9k1CQBh1XKHC863sHz5dMmj4okwN564HR30B28e8SQwp8kATv2
/zmNiu/gci46z/VACbDIef+sffgOFjR6uzTpIQGW9/lHL/FH4fMnZD85O0iA
qBBz2o6tUfhtrHfrSwMJSHAvqbO9HIV16p6Xq8pKQG7VvZ0hRVE4foo1/R6b
BHhEPbu8MBqF50T20JlmxUE/2i/hsWQ0dtry0OdcvzgU94STi52jcbnPj32D
WBwUO2TeM0VHY4E0U2RTIA5zUBXxtDUa+70OV6mIEwcLS8sdLawxuHu+V0g2
QBwu7SXutLGOwdpy5L8R7uIQs7aXwYQeg+PsfSeWbMVB92EIY0FzDJ67UvfG
XXfzfFZRufscsdgxh/N5J0EcPqUHHJZ1iMWl3fuyTJjFIf6c6bxRYizm//co
MndGDHK7LRznB2Oxr8qvC4K9YrDvAkO0mlAc7nKxPBJUJwaeD35IPDeKw1q3
7thM54iBda38B4pbHI4t+aDlEi0GZ6rkli6ExuHZQQXJhktiIPoOnhcXx2FH
9gtMGm5isMuG+c7793G4VA9mUmw25+WWLiwwxGP+Y7x9LFpioHdEJJ1bPR6f
izr40k9cDH5oNtpR9sfjN8/z84c2RCGyZ+dPFBqPNScW43ZMiULIW/4kr6fx
OEZw67XKblHwKV/2yfsSj39axJ4g1oiCMc2x549QAt7lNbQzKksUBOYSzM9Z
J+CSeyqGKxGiMNxvvYv9SgLma7os5+EvCtsetHf99zgBn5tt4ug+KAoROjvL
mz8l4E4pwXkzK1GIWk/hXhVNxBo73D7mq4lC0StB0jmHRBx9seiVsIgofLuV
7KYeloh/PFwpDv4rAosRwYfNIBE7dG5LnhkXgZn2qE/Za4m4eDUhxLVTBMZC
fw54GSdhXsXPnk1VIsDnaX02/XIS9nHW2KOVIQKNVgWT5s+ScOeNa+bpYSJw
80R9m+tyElYvalFg9xUBzefNLYsmd3FUvwj/BVcRKB+ua5a+cRd/Zz6+MkIV
gRpywNCHprt4p3bpqJ2yCLws6zmgy30PPzn8t/2ZgAicm+5u0N17D/NE2FaS
V4VhUm6kayzjHj5bde9BzKgwpDYzXnWcuYf/Gx0L+9MmDER10lSwSTJW59Px
O1UhDPdWbSKCI5LxHdMbB3rShCHX5xfDgY/JeOZUx1ZLmjB4pJ3WFddKwfaJ
EuqPvYVB/bEoaqan4CJ8UlRs7+a8A3NR54ZSMPf3ivWb5sKQXP+pXtYwFXtL
MEz9kBcGzVs6L0bjU3GHtcPbA7zCcKJCqKJpNhWrnU+rbV4SgosmgmJvHdPw
nQdfH+mMCME5w9xssYo0/K1NP/rBayFws248nCWWju1+37zMWSoEnR/9km4E
pePH5K6jl5KFoOe77+SLyXTM5ShtOxosBEzvRixOO9/HXtc9dR3OCEFM62xf
DNzH7fnPpGqchKBwNdtsi84DrNrLzKpgIgT79kU6Ruc8wJEMu3/GkYTAzOHe
9luEDPxNPaP/L6cQuETOlGklZmC7AzNwZl4QrD43nM/ly8SPQ40f9w4KQnXQ
zo6FqEzMWRGaiJoEIaOlr1iU/SH2HOkJfFIkCAy1C7Gatg9xGxfxlESSIKy/
/WPaGfUQqxj5ONIDBWGu8kTsn7cPccSJWuM5D0HottN5iCWy8HQsO/mwgyDs
JDNVKrhnYdu6vdytBoLw4peijWFRFi6YylrUkxWEqG0v2dd+Z2FO0dnhTDZB
CPTq+xxknY3PbDFv4Z4VAOH8mF+tidm41Sei7Eq/AOS/2Zk4OZ6NldPep45h
ARi3Gj8wavQI335NoTkWCMDni29FXkU9wlPzfmdfxAnAo88Xu1PHHuEdci9d
lAIEoPjZ3n4f8xxcYM9NTXQXgACCx1P75BzMcXW/8oatAHjJOGlRF3Pw6Zxc
QW9dAbh9ucd1755c3NI9/+c9QQA8OLiCkitzsdI/6vhWZgF4Qx3QE5XIw3x7
COlH+vmhx8XOdTAoD78pqvQxKOAHWvAq5+JEHo5hcUS8AfzAJx5a7euUj3cd
mRaasOWHJ03MYofq8zHfM9pEHYEfTJ+EKL1SL8CdfLLPk2b4YLg6yKwmowBH
n34eebaOD0omr8/tEC7EDuB8xDqaD+xeRRjciizEvJI/tKTd+CD+T7/9RZbH
+L/z4UyLmnzgyra3VfPmYxzVTurr2OCFYH7buw0MRXgnpS7/UTcvBH5lWzSn
FWHuwH3XrmfxwpJy7I1yjie4o3du5x5/XuC9tkNFO/4JvqNxR07NihdKZqqt
26WLsX2YwjyTCC8Q/FBwfFEx5v6EXw2O80DO8anJZIsS3G50MLmiigcWxBRm
ZntKcGTcomdkGA+4n3zi9sS7FNtNx5gfd+WBZOE88znmMsy1VYXfVJkHstrH
vnftKcNtaU2jgqvcIGA2bBWcW4YjFo5UTrdxA5214RrHahm23bkS1pDGDV/e
ijJe3lWOOXMTDqR6c4P98cqgntxy3PpPXf28OTdYHXvVpbxRjm/va1nfwcsN
Ge9f8NMPVmDbUve3xBEucNzhHjdbXYE5OP4+WinhAnXn7k+XxZ/i1mP3LncH
c4Ftc0irQsBTfLtG27bAiQtcFJycOYaf4h1CHVIhJK7N7/3oJlWrSszuffKn
6zwnfDFhz04tqsQtTRug1cQJKF2q0l2sCodLpyWyJ3FCeGg7YxytCttc0j/1
yYMT6GVtfToLVZjtzRvjagNOEPBJe7n35DP8WtGTO5aNEy6JZcWyDT7DYcHM
I6f6OeALm+Vxl93VeNuHB2WWBRwQOPX1nmNHNWbTMaaJBXDAT7Pt75l3PMfN
ET0uP205wGHGWehmy3Mc+uWs8msCBzDV+4S/t63B28zY1x7MsAMpgF4v3FWD
WZOyOi/VsUNerHrEDtda3Pzd7KFDNDvE8TbxhH6pxfRt7/0V3NghvfBOzYDf
C2yd4bftnyY7FJR3Obky1WGWZS6Jvg020Hnwd5wvuQ43OeZ+e9LNBjS2xkFB
rXpMK6DW07PY4Ge75rfz7fXYinEw9rA/Gwzxdspt8XyJmQ9ePK5vxQbBH+qG
47kxbqrgM+ARYQNG3s6hy+UY07gL2cfHWUFFu+3eTQ3AWz2sBl9UsUIF60tp
BTpgpvrhJ4lhrFA3Nz9aOgS4UfRqsLcrK2TWJi6pGTXgW+eEnK2UWWF9tSvp
UWID3tLyRF5qlQX+0ziqRppvwIzE7cvzbSyg2se0t9S5ETdcHW1rT2OB2T1s
A/urGvHNt9fvZ3uzQL9vXaUyoQkjVTHfa+Ys0KD7R1D1ZhNmoJVtceZlAea1
mJ1nvjVh+GgnojrCDE23an79dHmFQ/QnJhlLmcE0JxXaml5hFB1cMxDMDDIP
Mx6z6DdjhknJqHInZqgv/PWuKK8ZY8tKtwgSM2hfG0rskHqNg5N36bjPM8H2
IrVLfomvMXVuitmkiQn8UqIM83lb8PoO2nuBJCawpE22B0a24JdZMoVTHkyg
WF1yYJ2zFd/4U30dDJig55QR1SSqFVvucd6VwsYE82srPGaCbXi96DvRr58R
nsT3RQimtuF6lvCF7QWMcNtxX0U7pR3fOEJ6LRfACMqHvjy/WN6OLZ69SFm2
ZYQG4VlW2a0d+B/fPu8uAiOU2KsY9/V14PrTcxb5MwxwQjdZvvDsfzgQIgWC
6xjAJrPifQFbJzaXVBjbF80Arb7X48YedeK/53GVphsD3M2/2X7G+g2uaz9w
m02LAf5j/qq3Y+oNXraZqqrb2MAxpa4V8bFd+MqK9KGzWRtYZeJvmapMN/5d
uJtB2moDrz8rbN99sRtfPhSW2zG+jvf5J3rZdG7mPC/sroet41438pyA8lt8
6eXsrKryOj7zvLCvhv4WL/rK3x1s+4c7iDZltmNv8UXSAdNI739YL+KZVptV
D17sif5kwvsP7/HRkt2S14Mv0hvp0yV/sYOJ8rFarnd4wWBZJdXpL/5bSV60
OP8O+39V69oxv4aDHM/O9w68w/Mpxy6uJK5hWaWBqNvWvfi83V3JAoM17Pf4
Kt/x8l78a63tpWv/HzxQZvXRi9iHzxevn2AP+INvTTf5bj4TPOemx1lN+IMT
blYe02Z9j/0EzpScqlvFEWPpBxmuv8ezDff3iLmt4uALbiTFhffY98LbleaN
FXxOoz22yKcf/5Rny7iUtYLreKSS077143PvTa0UrFawqOJVy3+eH/DPcN+p
3vFlnOzmmT088wGfM8mJpoct48ribYvb/Abwj28fdPWVl/GWgdQAtDyAz97n
/TDW9hv/ehB+pz9kEH932BqU6P0b7zKWuSfK+xF7b1wmW/H+xnPbcsVZ73/E
M2VFLfMlS7ho5WdmmcYQPnv889lspyVsnxLTRW4cwjPCokLO84ub+1LM9dSB
YezVbFvNmLSIi49t/x26MIy/Xb5xuNxgETtcM7seFTeCPZWfMrr3L2DT6rAG
uvYnPD3wNU8gYAG/7N1dHvDuE/a8I70TCAs4/Yah3Avzz/ir+e5fvnXz2Cau
+OnW+M/49M/Qe3Ju81hgTZVw4Otmnllr1rXxC9u7K3xkpo7iU7tnP9/I+oWp
DFO3dqSM4kkm+TBNq19Ymp0rS31hM6/crzYyPoczaF9aqhy/4MmT0d3RYXPY
ZXXlznTxF3xSvPGShfIcjqr1p3XyjuG2+B8Gg4mzOEwqaNtp3zHcvrgvxKT/
J/6UVulZ1zOGW12hPYXwEwdIRYT3GI3j17UqoitHfuC4XZkGpRnjuFkm8ahr
1ndsc06Lcz/7BH4V8rfw2fgMfuLlfrfn/ARuGju5KKo8g22K87zkRzbZpsvy
kvc3nJ8iKLZn5yRuLDSO6C2ZxpUzj4kedZMYeLLf6c1PYaTTzHdE8ytu9OWW
TTSYwsundh21yv6KG3ounpm/+hUnsRPvSEtMYTAYqdi9uW4+14HlZ+wUfpmy
/V/ZxgQm7PA3qOecxvVrZdsFrCbw/Yq/IbGh0/ilGyHBN2wcp/RdQ17M3/CL
BtrQm7YxbB0z3uRM+4Zr5X8oam7el6S5CaddrDO4Jnzf+WinL7jQQYV8PGIG
P99c8j1xFAeqZ51K5P+Oqx1U2Hb2f8ZTXj3oa/ImlyU4FRE+43/1sq+Pk3/g
s0orBqJ1I/hNK/86V+km/2hvf7d1GB9jfDQ6bvETez19cDSh7SOG9HsHl95s
coDfopPTIN7ytHrrluOz+CTVKoK//wP+NK1zonN5Fp9gFZN9c6QfLxycM+na
PoePd0xVRI334Rd2u6OHkubw0fgX2+29e/FdLdclgbE5fMQ1Zohzvgdfu7BU
fk73Fz4i436+9epbnHxPfnX51i9c/fo0D99GF67Ji/td0vsLlznzGt7h6cSL
2rYdd5XmcelIxVEOQju2a/GPLrk+jwu99keEKrXgeL0/29e653HB738VTAav
sJOf7Z8gpQWcd+vRUPDWBhwYvJ5sHLyA7WQSeP5k1uFThjkcGh8WsLnB8NHF
2mfYSdRH6YjuItZxUH76s68M26O5xvboRXy4fZKnZzQX7yqZun/l2yJOXVw9
Fa2VhLWyf3ue3LGE+w51utnJe1OTQ068vZu/hEvsi9czV9KoAyJTZ7k4fuPu
S7D/kE0h9arLpdZXnr/xDFn0gN7tCqr98w331//9xmtc7awmPs+p3+QdCgV0
lvG/+RsVls4vqWKJzRs595bxrR+pWtlSjVRvd5vn9H+b7L7IqsDXTB3wXREr
P7mCw/p2DeUztFIn2FV2q3Wt4CjbwgrVhXZqVrpC9KLJKo6pZ44onuikEk4Q
vvDmreI2iVItibPd1KaRBderwn9wu/NQ2oGJt1RRa6uv+rf+4K4oTrZ0t3fU
5A8KAdbzf/Db14bnh/p7qTyWWl/zT6zhtwweQzK731Pvle9bO/p+Dfeaxm8/
2t5P1bT86utj9xf3XnxZ8dBqgPp+1H+2G//FfSUzMl/qBqnxj1pF7hj+wwNT
EhEUwyGqRfIPr/sl//Ag2WbRo3SYSuyQ8GHdfM98PHzhaJ7yJ+qyZEXY6+x1
fM7eaWLB6TN1x8c9wp9lN7Df1GRaEu8oNdGry835/gY+HxrkZNA+Sk2yTOuJ
4WWA82QRtvdhX6gPM3w4sxwYwB8/fnHZaowqE2f85WjMJh/ecl6cYZzqakg/
0dHFABdW+xWf141T7XVFo8YEGeHyvXND+wMmqFTm384Fexnhih5rwqrBJFX5
ya18yZTNvDt9e9r8JLXo3qXzRkObuY/uP9PSr1T9J0txjCQmuMrVVvHRe4q6
70HuyJVTm5x/9Eyg8jR1u2OlWtoTJrhm/VtGZmKaynv655YzC5s8GvWuPusb
tX66e2zUlBkCb1Ai3NxmqO1T9/9jo22yVK3lBuE79ajO2bL3Hcxw47nTYmb/
d+rhJRvz3aIscMPlayFK+kGN8DAVu3yUBULmg46OOv2kHlX3G7Z+zALBsSKi
t3hnqam9Nqr1SyxwU72ondw+S2346RUzsoUVGsaJ4G41R23g+5VUEMMKW/S+
Eyqy5qght/waCUOs0Hiz+hITwy/qtZeyd/VV2WBr961uZ7dfVKtLM/Slq2zQ
KLtL7VHdL+qi4wPmI61sYOUjGbZAmKd6WMwGekmww6sX45+tAuapZrtK9sl4
soM1V5lZUv88tU/4w9zFWnZo3n/93rjBAlX7ak2uHw8HbMu3+aWftED9ycLX
zn+UA5qXBHeGzi9Qh2PlindXcICN9XBen9Mi1cFqMsVg87v/dUIBo2LpIrVj
Rbmn9iAn2IxeOHyZd4k6NfQg5XMpJ7RoUatfey9Rh525lfJYuWD7DS4h8fYl
6hqf51Ouw1zQ+l/f2dPKv6nKRxl9eZ9ywQ6prJbqsN/U1JSEsGIubmjzPEvm
mPhN9cn2I387zg12z42C9lstU3uS8k41vtjM2Zg/FGQtU9M8JC4YiPKAncsb
3dWNZeqVxJwTW315oP1RarSt2wqVPLzNaaqNB+znPaZS61ao/IP6DooKvPAf
0rb6Rlil+sVxeq+F8IJ97NoD04BVaub3oWenhjfz4dcrkf2rVCWCl+lpUz7Y
qZ6w56PBH+qPZ1p/15L5oPPakRK1pD/UHYNxG5TffODQpswZOP+HOj29ZD2y
lx/eiC+e+M9pjTpr+KNNpZIfdp3CL6VL16iNJbmvmLg2/8srIyV9eP9Sv5Tl
WhibCoAj876L9d5/qf5b+9srvQSgazepi7f9L3V88sfElXQBcHr4XcVN+R/V
/GEw+83/BKD7ZzW9JOwfle+YSH7XPwHYbUH7tD7+j1pub2B2QksQ3t7ZZepo
tU5teXvdxMxdEJwHJe9mZq1TtWIfirkmCkKP8sTs7MY6tYkx0uZZsyDsuVJm
h9w2qFbsh8z3rwjCu+bruXF1G9RpxZte5mpCoBpJCfHjZUDOOY1bj7sJgZdO
RHGKOQPyPrjTsC1eCB5/+DkI3gyIegRX+TULwUzwXo7pNAYU526ps39VCNSU
ag0E2xmQ+fQ1iWANYfB6I3fCZJUBpek1Do67C0PRpdA4d2VGtDHH+fX2PWGY
kZ6pj3BlRM+e/y3y6hAGtVdOM+VhjOg9YkuJYBCBs97PJAarGJGf61HJCQMR
eCIkbcM0wYjS70tmBHqLwPeamxdURZiQ4D/VJMcsEdBw//rQ2YoJsf246nmk
XwR8OBzeXPNnQrwnxu7k8opCcWnFWnYWExpNcPRUshaFH/skVDq6mRDrmQrf
L9dEQWM9aN/CBhPSAwLv+3JR8Mkdo0lpMaPKky9KGac31++0LbdyY0blbYvN
HkQx+LlQMuIdvZnfcHu57ioGmukiPEl1zCj5Qjd7V6wYnNt6zaRuhhmJzXoL
9rWIQen0p1PjBBZ0ZWeOnQCDOMzGbUvisWNB0QHbKSHG4qBlXNSgH8CCkg3D
uOXPi4PvJ4HZwwUs6JTE3wtrheJQFnZZOrSfBTk5VHeyjonDnMaQbTEbKwpW
QJFbpSVAu2/LlT4DVqRx9KFUuYsE+AXm5/zzYEWnjbwWnWIloIzC26OQxIqY
EQ4ntUnAXLv/hkMTK/Jd22dLZpYEbf8P6pfnWZEQNbTY2UISzktaHswgsaH5
w0il4ooklMOj8NdObOiYqJIuqpCEX6c5q34Gs6Gru8Ms/36XBB1+3y9ipWxI
K9+teUKJAP7PevmpI2yoPd/T8u9xAlQcMbU4zcuO7qzKkqkZBJhneegVa86O
TlnUTBcPEEDvCWtKtTc7ethgyr9DVAou7PFu/pTGjrSY/Hl5d0tBxZ/uefZ2
dvRs+d/Rv1FSsJBlSNReZUfMhs400TYp0LO977BfmQN9H6xddGWVhgtzjNdD
XDnQtV3HdJu2SMPT5NMFBWEcSLfP7sW+G9KwaNnZ113Fga4sneQXeiEN+pO6
zKvjHOhjGa10cVkaLkanaJNEONHehKMy6/oyUKW/fsTWihNpJGR91PCXgaWP
J+6c9+dEmd2ffWilMmBAa3uemsWJ1pXy9q9/l4FLqlqTDd2caE/yOVKGqixU
vU0S/rbBiZzCincdPyMLv6/+QUJaXChw7M1puzxZMCQeO2fqxoWCZUyWXMZl
4XJLc/rxaC50fGVXCJ0sB8/OqbVF1nGhUur5xL5jcrAsGv+7YoYL2e1jqN2R
KQdG9b8pHwncqDfnSMjwsBxc8Ti8m9mOG+ELv2ts+YhQzd14Qy2AGwmWRApW
aRBhuULpyZ4CblR+JitG24EIxgejB673c6Mx+wurL84S4SrjAlsOGw+qU60j
uEYR4XnBfv3/DHhQl9uLF4xPiLDi+NJ90YMHLYrq573oIILJMiVWOokH5SX4
5NBniBCQEVFn3cSDbI7q3TzMTYKabbPTZ+d5UMXFPnYrNRKsft8rfpfEi0L3
KrMY25PAJKnWut6JF50SD91q5k2CADOi/0QwLwLfttidd0hQ+yU0k7eUF1lm
udZ4F5HgT8TMfwYjvOiIj1h0SgcJTHV2/znCy4duLPkN9MyQ4NqHZ0ph5nyo
JmGfD4GHDLXB0i4l3nxo4JGphK86GdYUb916n8aHXu8Wedy9kwxmb76Wrrfx
oUo7twVLHzJcv+QwrLjKh3wuijXXRJOhTvopl6MyP1q5Wz+HSjbXN0kYX3Hl
R4sr+3b0viGDufeNk5lh/GiJ6UzGhVkyBAqNJ7RU8SOZluVmWQEK1NXYwuw4
P3KIi0no06bAjbL+39xcAkjBw+BD8m4KyNIjeR+SBJBy8CXvk/4UeOlqIa9v
IoD02l1JlokUcFObM211EkDZth5dpEoKbKxn7z58RgDtDMuyF+ijQGaPy5m5
YAH0eC7xLOdvClDzOILpyQJon6UFJ6+4PHwKeHFXolQAaTRKrRKM5SHY4dyT
J68FEBWriOgdkAc5EqkJjQigwWdDui7X5AEvvhvoXRJAH8rlNW+my8PR1rC5
M7yCyDPU+9OzOnlguG/C/k9eEGUJJxF/D8vDQ9/vMvHmgmgofLXDckMekFWm
vsJeQbQr9lxdHFEBPos529d4C6LhaPPOmS0KEPKN5bgDTRD5d5EHHU8oAPFl
9dXRNEHE8swF19EVAOK9Yi9VCKJL40EHdPMU4NhJmTzOdkF07VR1aFmLAjCY
dNc9GBVEtX1xJKNpBcjiob3TWRVEWwO5uF9zKcKWzwbfmgWEUNTFu8Qj6oow
+nSK4aCyEFJpEdry10ERboani/+kCiHbsB77R76KQDq0S/OWqxCy+JpAdI5X
hAZNxm1ivkJI/GBwJsdTRXBnqjz0OEwIxWdqFb7uVQTG96f8LTOEkOtwnmzU
b0XIKpSM6KkSQp/LnEf3SyjBlqD/Mk91CqEfiOuduqkSjDoFP/szLoT+c+B9
z35YCW7J63bG/BVC0Yi5czpICcgr42NkEWFkZPInrSdTCRo7kv88UxNG0tKn
KI0NSnA8007Q3koYXc6Qs3s+pgRMF/4pfToojFydTyxUsipDtk2Z5QV/YSRQ
0c38XEkZthJOuLBHCiOymuexBltl+PJD9Gx6ljD6rBz7s9tbGWgNrbe0aoRR
iyxr0mS0MlDuXk9t6hZGpQnfDZnKlKHpjGaZ65Qw+qbYXE/pUYYT5qOvZzaE
kUeON7/9ojIwCyQNB4uLoM8sksJXxVTg0ZjNorCWCNob5F722FgFrKpXuQps
RFDybb2uLwdVYCzyCcncTQQ5zb93JQapAM3tqHH3JRG0/8uM7olMFZDXFXL0
iBZBkVOetkUNKvCKtfnkSo4IkubMpK+MqYDHwJXAqDoRdLdN840dmyqwFKsm
EntF0BlLQYFsZVXICRkurJwRQdskE/TX7VTBem8c7GAWRXrPHRWP+qjCuJJV
/xBBFAUamHa/ilUF+trSDz9dUXTzaoKMVoUqyHcVsLDaiaJL26dXH/Sqwqvs
Q1Kp7qJI6qDsbsFlVTh5mU9XI0AUhfsc5Y+QVANWu4YdDXGiaHm/EonVXA1y
ZS4edSkQRf9RLC6EuqnBtl+Kl6exKMqWfjrPeVMNJl4NRAX1i6KyXxNRCY/U
IDQl6pHgrChyar+uJfdaDRTOUmtz2cTQJ/cTraVTatBMne82kRVDU5R326y5
1eGkcO7XTgMxlGW7496QhjqwfnVdd3cQQx9WQguuOqlDXi2X6G8PMWThkeQt
cUEdbGLq1SIDxZDcD/zmxV11mHT32yqbJIYKbVIajj9XhzADyoGKIjEUlzar
x/tRHRQ53/vaNImhvaUDoi/+qcProdthg4NiiEGgyPUsUQNOlZk9ODcvhkIN
VqaJVhrARv/5lIlLHOWUJ9V/OKkBea5Z7fdI4ujyoYSmxNsasF1t76iqiThK
CUI/dhdpwNd1tpWXTuJokVVNXfiNBoT31PDtOSOOzKsl/fvnNEAp76zC12Bx
xHWYvzxDWBNaAuTMryeLoxdrOz6eMdSE0w49zvyl4mhWwGLM4IAmsJNCPR+9
Fkc9DWkvWAM1IX/RKMRoRBwJE2xdP2RowvbWb/c6lsTRQ5tThcUNmjCV/qD4
KK8EIryzyQ0d14Tbvk6vFuQlkOD0Rctj7FqgbMX8MdxcArHGl56xUNWCVrFn
v6T2SiDlpWlxGQctOPPtDEeZtwT6mmuHNny1gOOllJw1TQLZfFZ9P5agBQXx
bww+pEmglT7RN+1VWrDj5M2dZysk0M7lFunKD1owZax/gqFdAo1ZalZnrmnB
bZ6vAUmjEigN67bZ8GuDyufUOOVVCTTzYejtS6I2tD3dmV8nIIn25DjPGelq
g2f4Rr2TsiRyRWfkKqy0gfNQRe84VRKdO8RxUMNFGwo1T85cdZVE1p/00gtP
aYMtkwQTr68k+nqfcUTxqjZM97VLZIVJonerD2RyI7QhojBIyyBDEn1/YOci
n77ZH6Rt01YlifaS3UJynmhDu9PY4SOdksiwwSpN4aU2eMnfu/BrXBK5s13P
yO/SBq6VHZGhfyXRYEjybdVRbXjcsfZQUoSAtl9Ce0vmtcEus6S6WI2AULz2
P10WHfjm7/5mixUB0TINgp+L6kCkjchE30ECYrfQfm+ppAOqhJY1T38CWogR
Xm821oGOHwFC6xEEdGF1fN7BTge8G9RVErIIyLP/Rdn7QzrAffcTVbGGgJj1
GvSO+ehA0ZmEfbXdBKQUrHX12w0dsDff5rNrioDqdztfuxSnAzP8K7QvGwT0
XjbMkDFbB+6MPU67LC6FChaNCqOf6oBa9ZFyLi0pdMZ44g2hebM/UqA1w0YK
/T4hlVPwfrPfrWlE100KHXt1RcFoSgd4dC8vvb4khagm+Y6vV3XgCasKz6Fo
KTS8eFJuH7cu7Bz4SJ7NkULGFsHxk9K68P1JjAmtTgq90ejMvqKpC1EhW5zE
e6WQ2TVjJ06kC+p7F08VzUihHJ3n99J368J/SvlBVGZpNHdr9wXNE7pwdu1A
0juCNGq9KT7WcFEXeLt4ik7rSqPT31XHXMJ04Uk2blizlUYq8zV+35I3+y/7
f4h1l0Zf/2zcDi7UhR+2CrOUAGkk7rtNRfSFLkTLfGB9HieNikI+7Sr6Txc0
fkVK7yyQRlWLWstbRnSh85WF3mcsjTp+5MgNzOqCT8qc7cV+aaRc/bzZj1EP
eM8+OsYxK43C435NcgjrQQl135X7bDKo4dpoSJa8HuwS5ozRlpVB0qyK8aaG
evBj8kXOKwMZtE/qjGjvdj2IqT33Yr+DDDree4j73AE90Iwh9Xz3kEGftoAf
h7cevHHvnQoJlEEIHbV6FKgH5wzCN0SSZNCD7bw3LWP0gI/TVKywaDO3KFQa
zNzsH/qubtEkg/q2SRtcLt/sL8u0ejsog3amHMgXatKDWZrzwZPzMujIbrfA
0l49iHVlPb/KKYsat+tU7JzUAy215+HRJFnEPvrF5tuyHnSte2WQTGQR99co
49uc+uDbI1NV5SSLZNycQxWl9IE/r7vD9owsgkNH1ZrV9aE0gPZlOFgWcYxM
KXtY6oOjg+Hq+WRZlPpIPZDZSR9midP8bKWyiMpynvLIXR9iF9MV017LIqV2
FhmrC/qg1brLQnNEFuVyU0+P0fWhO51xb+OSLMpgDWag39MHP99Kr328cijg
t9pX+QJ9ELA6ffObvBwqW62UfF2jD2VihJQb5nJoZizu3ukOfXD69l+J0F45
VCxneZhzWB/m6oOb87zlUEzkVs+in/oQF687ZEqTQ+x71OocGAxA++TE/Js0
OfTifdSeOUED6DZO4TxRIYcO3WTSTKQYwHkee+Jymxxie6JpZ2hgAIKf/xne
GZVDGkG1eQM2BlD+tMxBblUOsbS5bA3abwAFTToVBziIyHf+mRTJywCuatyp
p4gQkc9/aTrN1w3ANnm89YccEfEGvrrlGW0AkoyWvdVqRNR78B8vX6YBTHsl
f7ppRER5AyI9FWUGUNM7983eiogUPT53ujYaQISl3W9RRyKKtzZj+PfOAA4U
PGL8fHBz3m22M9kTBqAi9I/n8Ski8h9TZtmxbACr1/dJXPQnohspMe9+cBhC
20QpxfIGEd0+pNKXSDCEVEdOLY5IIrpnMsduqm4InjXHTXvuEtG3G5+8PlsY
ggmlbtv9LCLaeLDyN8zREDijRXefKiaiKbGt9RruhjDw+9xh7RoiUjja8rjX
3xAKj7We/vOKiD60pby6TjeEgHbShVfdRHTSr4OTcs8QbPWv34gZIqLrUgEB
7fmGIJnRG7F/ioiC1EHIv8YQvrFr3iUvEpFjeFOvZIch1J4Pf/h9Y/N6Ax+/
bBgyhMiPn4uecZPQxtOHXZ4/DeHgNtPqEHESAvH3bEIMRqBamthoRyEhR3zj
RK2gEfyR+NEpokVCBz72jB+nGEH7LZuBEVMSeprFF8ltYARp3zPHC2xI6IWJ
v3OljRF47Vud9XcmIbbCLRZH9huBKTivmbuRkD+8smXzMgIu1Sds7F4kFMa5
/UrpdSMYTGQVenuJhOQrxZv3RxvB439uMuk3SSiZHqHLlGkE104/Vz4ZTUIT
DfMvi8qMwO6toL5WKgnR5Is9XRqNgGDmTV3NISHrZlHdjXdG8C3nlV1TGQkV
8kSLF04YQS2f7L7oOhI6n31Zcs+yEUReveLu2kpCV46YGP3jMIZDX7rPknpJ
aESP6pdPMAa1napXZz6REF1tqWm3ujGsVdFoVTMkVG/XofPXwhg65IZjgpdJ
aHeEfk2eozGkRxim2TKTUVtD3oHd7sbgvRCbK8xPRr+z04T++huD2ZHpsmEC
Gb3KujOWRzcG7patdfmKZGQ7s9yx+54xfNS+33Jel4wkXY91/M03hqK0pR4z
SzL6eGDHaH6NMVxncRxhtSMjwooB754OY7A/VzDd5UJGe2vKd60PGYPUB8al
VHcysk+3yS38aQwzWw4xePiQUSzrLQEXBhN4UVTJrRlARpb1C7EMQiZwR5RP
fIVORjwDGpQnFBM4FHya3BhHRuerXrW5GpiA2jRoRN0nI8r0LhrzdhNYcyaY
7CsgoxqTk46l+02go+6CNbGSjCLisjUOeZnAfcVOx2+YjPDsIxn2QBM4G6d4
qLKDjLJPc8g9jTYB8z/Bp270k5EQz3mdo5kmwOMxcH7HGBnpfwvZy11uAkOd
ukFCs2R0YH0ovLrRBJ4YRd0e+kNGrKrqHSd6TSAwayIxj42CzFTFZQUmTWAn
NzXTT4iCpqJ3hNQtm4D0pZTHprIUFP7k7K8znKbwfeRXFYvqZn5f57yolCnU
7bBveGNAQTrq2zca1E0hqiLnv5QtFMTY55Z+ztIUDkuv9x93oKCmZ2rbpJxM
QT3MdUz9AAWpRB//2+JuCn9ny37+9qCgvvwauHjBFP47wPUH/ChI8ctUPCnU
FO43nWC9E7g5P73Q9809U/DRqBdwuU1Bn4qfHbheYAoWyWLSckkUZOj5n6Ny
rSnwMvopTWdS0KvbBbv7Okxh2KtN92kRBelrcB29NWwKxb1ky6BqCtroLb+i
NWsKQZaBttubKGi3i3v6EIMZOBT07RXsoqD1no9tEUJmICOkdezjIAWVvJhg
MpI3gx/Xb3vnTlIQAVvbjBuYQf3E6GXfeQq62IoT47ebQbSj2S2TdQpaWJad
sTxgBkdqkqKZueTRhftqO797mcH/ALejygA=
"]]}},
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6]}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6]}, {}}, {
{RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
AbsoluteThickness[1.6]}, {}}}, {{}, {}}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{-11.576171362213875`, -29.562506784193214`},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}, {
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledFrameTicks[{Log, Exp}]}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{
"OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& ), "CopiedValueFunction" -> ({
Exp[
Part[#, 1]],
Exp[
Part[#, 2]]}& )}},
PlotRange->{{-11.576171362213875`,
10.019558357624812`}, {-29.562506784193214`, -0.009577019989071933}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.02],
Scaled[0.05]}},
Ticks->FrontEndValueCache[{
Charting`ScaledTicks[{Log, Exp}],
Charting`ScaledTicks[{Log, Exp}]}, {{{-11.512925464970229`,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {
2.302585092994046,
FormBox["10", TraditionalForm], {0.01, 0.}}, {9.210340371976184,
FormBox[
TemplateBox[{"10", "4"}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0.,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
4.605170185988092,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
11.512925464970229`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}, {{-25.328436022934504`,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "11"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-18.420680743952367`,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "8"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-11.512925464970229`,
FormBox[
TemplateBox[{"10",
RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
FormBox[
TagBox[
InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True],
NumberForm[#, {
DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01,
0.}}, {-32.23619130191664,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-29.933606208922594`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-27.631021115928547`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-23.025850929940457`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-20.72326583694641,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-16.11809565095832,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-13.815510557964274`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-9.210340371976182,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-6.907755278982137,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}, {-2.3025850929940455`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0.,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.302585092994046,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
2.995732273553991,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.4011973816621555`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
3.6888794541139363`,
FormBox[
TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005,
0.}}}}]]], "Output",
CellChangeTimes->{{3.79935070574265*^9, 3.7993507225615797`*^9}, {
3.7993507624804688`*^9, 3.799350838444585*^9}, {3.799350870006257*^9,
3.799350875356887*^9}, {3.7993509205793753`*^9, 3.79935095418456*^9},
3.799351259341177*^9, 3.799356856901814*^9},
CellLabel->
"Out[1874]=",ExpressionUUID->"bf884e82-e95e-4a2a-a90f-bd968b1ffc5d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
RowBox[{"Export", "[",
RowBox[{
"\"\<~/doc/research/thesis/data/essential/3d_scaling.dat\>\"", ",",
"\[IndentingNewLine]",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{"#1", ",",
RowBox[{"#2",
SuperscriptBox["B3D", "2"],
RowBox[{"(",
RowBox[{"A3D", "/.",
RowBox[{"solA3D", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ")"}]}]}], "}"}], "&"}], "@@@",
RowBox[{"N", "[",
RowBox[{"scalingDat3D", ",", "60"}], "]"}]}]}], "\[IndentingNewLine]",
"]"}], ";"}]], "Input",
CellChangeTimes->{{3.799266816993194*^9, 3.7992669408163443`*^9}, {
3.7992670106668262`*^9, 3.7992670119294443`*^9}, {3.799268304857831*^9,
3.799268313569353*^9}, {3.7992683536177*^9, 3.799268357194031*^9}, {
3.799268670920945*^9, 3.799268671727648*^9}, {3.7992687748262157`*^9,
3.799268777889553*^9}, {3.799268877973468*^9, 3.7992689004675703`*^9}, {
3.799268967437495*^9, 3.799268968852703*^9}, {3.799269278164113*^9,
3.79926929046101*^9}, {3.7993501543329268`*^9, 3.7993501851725187`*^9}, {
3.799350471365326*^9, 3.799350473147019*^9}, 3.7993506733662853`*^9, {
3.799350846696065*^9, 3.799350899949189*^9}, {3.799350933675035*^9,
3.799350940081938*^9}, {3.799351276234058*^9, 3.799351277257061*^9}},
CellLabel->
"In[1875]:=",ExpressionUUID->"1723dcdb-16db-4547-8a63-d03d2086b047"],
Cell[BoxData[
TemplateBox[{
"N", "meprec",
"\"Internal precision limit $MaxExtraPrecision = \\!\\(\\*RowBox[{\\\"50.`\
\\\"}]\\) reached while evaluating \\!\\(\\*RowBox[{\\\"{\\\", \
RowBox[{RowBox[{\\\"{\\\", RowBox[{\\\"0.000022461507775412616`\\\", \
\\\",\\\", FractionBox[RowBox[{\\\"5000000000000000000000000000000000000000\\\
\", \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
FractionBox[RowBox[{\\\"3\\\", \\\" \\\", \
SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"10000000000\\\"], \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
FractionBox[RowBox[{\\\"59999999987\\\", \\\" \\\", RowBox[{\\\"Gamma\\\", \\\
\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"1000000000000000\\\"]}], \\\"+\
\\\", FractionBox[RowBox[{\\\"11249999997\\\", \\\" \\\", RowBox[{\\\"Gamma\\\
\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"1250000000\\\"]}], \\\")\\\"}]}], \
\\\"5000000000\\\"]}], \\\"+\\\", \
FractionBox[RowBox[{\\\"359999999862000000007\\\", \\\" \\\", RowBox[{\\\"(\\\
\", RowBox[{FractionBox[RowBox[{RowBox[{\\\"ExpIntegralE\\\", \\\"[\\\", \
RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
\\\"}], \\\" \\\", RowBox[{\\\"Gamma\\\", \\\"[\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
\"50000\\\"], \\\"-\\\", RowBox[{\\\"3\\\", \\\" \\\", \
RowBox[{\\\"ExpIntegralE\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \
RowBox[{\\\"Gamma\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \
\\\"20000000000000000000\\\"]}], \\\")\\\"}]}], RowBox[{\\\"27\\\", \\\" \
\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"10000000000\\\"], \\\" \
\\\", \\\"\[Pi]\\\"}]]}], \\\"}\\\"}], \\\",\\\", RowBox[{\\\"\[LeftSkeleton]\
\\\", \\\"49\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", RowBox[{\\\"\
\[LeftSkeleton]\\\", \\\"851\\\", \\\"\[RightSkeleton]\\\"}]}], \
\\\"}\\\"}]\\).\"", 2, 1875, 1196, 31360694400660719236, "Local"},
"MessageTemplate"]], "Message", "MSG",
CellChangeTimes->{{3.799269285028339*^9, 3.799269291553422*^9}, {
3.7993501594180593`*^9, 3.799350185401231*^9}, 3.79935090424148*^9, {
3.799350940818733*^9, 3.799350960822401*^9}, 3.799351283543154*^9,
3.799356864648629*^9},
CellLabel->
"During evaluation of \
In[1875]:=",ExpressionUUID->"7d2fb112-9387-4eaf-ba45-1397b907f1c8"]
}, Open ]]
}, Open ]]
},
WindowSize->{636, 1056},
WindowMargins->{{642, Automatic}, {2, Automatic}},
FrontEndVersion->"12.1 for Linux x86 (64-bit) (March 14, 2020)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"501938d6-4b67-4b16-8854-cee248d9d9c2"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 723, 21, 30, "Input",ExpressionUUID->"82258ef3-9786-4e81-9eb9-23ffb434650c"],
Cell[1284, 43, 2371, 46, 42, "Input",ExpressionUUID->"4e85b330-c6d0-441a-b9ab-33c4fb946885"],
Cell[3658, 91, 207, 3, 30, "Input",ExpressionUUID->"d642ee14-edd2-4f32-884a-8e6d16ad9042"],
Cell[3868, 96, 383, 10, 54, "Input",ExpressionUUID->"da98e2d0-3053-459a-aae4-74eba9aba312"],
Cell[4254, 108, 399, 11, 54, "Input",ExpressionUUID->"f626d5f0-6e81-49a0-be96-023721aa88c6"],
Cell[CellGroupData[{
Cell[4678, 123, 200, 3, 30, "Input",ExpressionUUID->"311f0a6c-f9d0-4710-a7a8-3e97c11f94ea"],
Cell[4881, 128, 266, 5, 50, "Output",ExpressionUUID->"bf354573-6003-4bd8-9934-10fd05b251c0"]
}, Open ]],
Cell[CellGroupData[{
Cell[5184, 138, 197, 3, 30, "Input",ExpressionUUID->"e52d0c60-748d-4cc3-a565-21bdb6ffcd24"],
Cell[5384, 143, 243, 4, 34, "Output",ExpressionUUID->"5411b912-2380-4cb6-802f-824204bdebfd"]
}, Open ]],
Cell[5642, 150, 271, 4, 30, "Input",ExpressionUUID->"e4bb0f34-88b3-4b5d-baa2-b4df36d9d986"],
Cell[5916, 156, 207, 3, 30, "Input",ExpressionUUID->"05e1c49c-4b48-44c7-b8ec-f4e8da2d8537"],
Cell[6126, 161, 836, 22, 51, "Input",ExpressionUUID->"b4e21948-5878-4ca8-a70d-e15e506e21d7"],
Cell[6965, 185, 228, 3, 33, "Input",ExpressionUUID->"4384315f-9759-420b-b9e1-734fdddd0405"],
Cell[7196, 190, 1644, 37, 127, "Input",ExpressionUUID->"9315b6d6-051d-40f9-b30f-b02bb6592851"],
Cell[8843, 229, 1551, 35, 147, "Input",ExpressionUUID->"e966b438-a404-4e3d-8cce-cc3cb0fb75c2"],
Cell[10397, 266, 921, 20, 55, "Input",ExpressionUUID->"8bef1756-135a-4486-93dd-174d30365812"],
Cell[CellGroupData[{
Cell[11343, 290, 206, 4, 54, "Subsection",ExpressionUUID->"12eb0a78-495e-427f-9455-49dc8dab2172"],
Cell[11552, 296, 4809, 97, 276, "Input",ExpressionUUID->"0d8178db-61f6-496c-abee-10fa744b47c3"],
Cell[CellGroupData[{
Cell[16386, 397, 496, 11, 30, "Input",ExpressionUUID->"b27001d6-dbea-40a3-be65-0156bc821b9f"],
Cell[16885, 410, 934, 17, 37, "Output",ExpressionUUID->"ffbdef8e-b715-4265-ad01-67408ac104b0"]
}, Open ]],
Cell[CellGroupData[{
Cell[17856, 432, 1370, 33, 138, "Input",ExpressionUUID->"7de38bf2-d206-40cf-8fd0-4c9c91740d6b"],
Cell[19229, 467, 1004, 27, 63, "Output",ExpressionUUID->"30b8b907-e929-4b25-a390-515599197735"]
}, Open ]],
Cell[20248, 497, 769, 17, 119, "Input",ExpressionUUID->"8e6b87a0-297b-413c-b727-8b0b7593317b"],
Cell[21020, 516, 3818, 80, 515, "Input",ExpressionUUID->"4b35d23d-ea61-4b2a-95fc-cfcef598297b"],
Cell[CellGroupData[{
Cell[24863, 600, 271, 6, 33, "Input",ExpressionUUID->"3631c111-9fd9-4dfc-808e-58e61fdbbbdb"],
Cell[25137, 608, 15251, 361, 236, "Output",ExpressionUUID->"3ac27810-6f83-4625-98b0-e82af48f150c"]
}, Open ]],
Cell[CellGroupData[{
Cell[40425, 974, 2274, 49, 177, "Input",ExpressionUUID->"10fb4336-24c7-4f2c-a78e-ccbbefef0f21"],
Cell[42702, 1025, 15756, 337, 236, "Output",ExpressionUUID->"07bcbc54-851c-4c5e-87ad-7632acd27f76"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
Cell[58507, 1368, 158, 3, 54, "Subsection",ExpressionUUID->"49b10533-63dc-4aa5-b5fa-23a9793f57d7"],
Cell[58668, 1373, 4958, 109, 276, "Input",ExpressionUUID->"f1c6456e-0c2c-49fc-aaa2-7b850b85b806"],
Cell[CellGroupData[{
Cell[63651, 1486, 287, 6, 30, "Input",ExpressionUUID->"f63a2887-1fa5-4161-8c56-47338338f7ea"],
Cell[63941, 1494, 333, 7, 34, "Output",ExpressionUUID->"52f7db41-ad11-4b67-8e69-a778158b4520"]
}, Open ]],
Cell[CellGroupData[{
Cell[64311, 1506, 701, 17, 33, "Input",ExpressionUUID->"6dcfffa5-1ddc-4df4-b638-4baa1f546aac"],
Cell[65015, 1525, 1445, 35, 79, "Output",ExpressionUUID->"a54e36bc-80ef-4e8c-9f23-a80ba5e27cd6"]
}, Open ]],
Cell[CellGroupData[{
Cell[66497, 1565, 191, 2, 30, "Input",ExpressionUUID->"25cc8106-3a0c-43da-bad7-7fd85551f221"],
Cell[66691, 1569, 338, 7, 34, "Output",ExpressionUUID->"39f89042-7820-4dbb-a44e-9ad677c05aba"]
}, Open ]],
Cell[CellGroupData[{
Cell[67066, 1581, 201, 2, 30, "Input",ExpressionUUID->"7dccd10e-65bf-4805-b27c-7440958b77a6"],
Cell[67270, 1585, 652, 15, 63, "Output",ExpressionUUID->"9ef5fd03-8e77-4639-a8cc-086e57edb804"]
}, Open ]],
Cell[CellGroupData[{
Cell[67959, 1605, 195, 3, 30, "Input",ExpressionUUID->"eb48c644-5dc7-431c-b6c5-e74629b2d7cb"],
Cell[68157, 1610, 318, 5, 34, "Output",ExpressionUUID->"c93a8c5f-db15-4dc4-a1d6-0b9dbf98989d"]
}, Open ]],
Cell[CellGroupData[{
Cell[68512, 1620, 193, 2, 30, "Input",ExpressionUUID->"6c10fe0b-7dba-489b-bc9b-6f6d8ee1da19"],
Cell[68708, 1624, 462, 6, 34, "Output",ExpressionUUID->"30c1c989-47c5-4bd6-9992-6198f619b876"]
}, Open ]],
Cell[CellGroupData[{
Cell[69207, 1635, 386, 5, 30, "Input",ExpressionUUID->"091d0402-dc79-48fc-92dd-7d7cd954ace9"],
Cell[69596, 1642, 694, 12, 34, "Output",ExpressionUUID->"66f7cc7d-3af9-4d98-ac10-f69fe8652299"]
}, Open ]],
Cell[CellGroupData[{
Cell[70327, 1659, 190, 2, 30, "Input",ExpressionUUID->"40f11adf-43f8-487e-b15a-52da97821ffb"],
Cell[70520, 1663, 353, 7, 34, "Output",ExpressionUUID->"6ad4c03a-38cd-4cd0-b4f4-5241d0791a2c"]
}, Open ]],
Cell[CellGroupData[{
Cell[70910, 1675, 252, 5, 30, "Input",ExpressionUUID->"23b8c237-be4c-447a-b1d8-4a5c0704e0a4"],
Cell[71165, 1682, 367, 10, 57, "Output",ExpressionUUID->"addda4ea-10b1-45ce-8120-03a6237fb707"]
}, Open ]],
Cell[CellGroupData[{
Cell[71569, 1697, 466, 9, 30, "Input",ExpressionUUID->"1b660ecc-2b2c-468f-ac07-b9f9d583ee81"],
Cell[72038, 1708, 934, 17, 37, "Output",ExpressionUUID->"8076a918-73d4-4469-b6b9-ab046ed29ecf"]
}, Open ]],
Cell[72987, 1728, 660, 14, 119, "Input",ExpressionUUID->"777df78d-4029-4ae4-9481-6ed62e53681e"],
Cell[73650, 1744, 3769, 79, 515, "Input",ExpressionUUID->"7a50b246-a616-45b6-82c5-9b269a36e64f"],
Cell[CellGroupData[{
Cell[77444, 1827, 1375, 34, 138, "Input",ExpressionUUID->"4da761c1-4952-42a5-be4f-7eaeec838a3d"],
Cell[78822, 1863, 985, 28, 63, "Output",ExpressionUUID->"3cbc7d07-09a7-4f41-83dd-c9898c80acd0"]
}, Open ]],
Cell[CellGroupData[{
Cell[79844, 1896, 1518, 35, 138, "Input",ExpressionUUID->"8a26f8de-f95e-4832-8ec8-348b1ad58608"],
Cell[81365, 1933, 1285, 36, 71, "Output",ExpressionUUID->"07548219-774e-4f47-9b6d-0ad661d2f05d"]
}, Open ]],
Cell[CellGroupData[{
Cell[82687, 1974, 863, 23, 56, "Input",ExpressionUUID->"f2b9ff0b-ec07-45f1-b93d-6317fe4399a1"],
Cell[83553, 1999, 532, 13, 67, "Output",ExpressionUUID->"d6202235-a969-4ff3-821c-17579fcc7a90"]
}, Open ]],
Cell[CellGroupData[{
Cell[84122, 2017, 1033, 22, 54, "Input",ExpressionUUID->"7cea48f2-60ec-47f7-b7ad-332766dc7eab"],
Cell[85158, 2041, 777, 14, 34, "Output",ExpressionUUID->"ab399092-429b-4341-88f9-346d004c19ae"]
}, Open ]],
Cell[CellGroupData[{
Cell[85972, 2060, 176, 2, 30, "Input",ExpressionUUID->"0e6ef774-a14b-4ce2-a5a6-2923f3c3094e"],
Cell[86151, 2064, 190, 2, 34, "Output",ExpressionUUID->"98428a8e-04fe-4a8c-8f0e-42272988f46d"]
}, Open ]],
Cell[CellGroupData[{
Cell[86378, 2071, 183, 3, 30, "Input",ExpressionUUID->"333b9c19-22f8-4667-a9b1-486b2205e8c3"],
Cell[86564, 2076, 220, 4, 34, "Output",ExpressionUUID->"3b587068-ebe9-48cc-bae0-26862ca99a8c"]
}, Open ]],
Cell[CellGroupData[{
Cell[86821, 2085, 766, 14, 30, "Input",ExpressionUUID->"782da974-7b2d-41fb-80b3-c5b9ae72928a"],
Cell[87590, 2101, 1773, 46, 103, "Output",ExpressionUUID->"7a6c7b6c-7122-4f4c-91ad-5c8b5e6f7e0f"]
}, Open ]],
Cell[CellGroupData[{
Cell[89400, 2152, 178, 2, 30, "Input",ExpressionUUID->"a0bbe7ea-c905-4881-bebe-82e1bb30a8a0"],
Cell[89581, 2156, 2312, 64, 211, "Output",ExpressionUUID->"e2a05904-22f2-4e82-a4ab-a7395bbe76f0"]
}, Open ]],
Cell[CellGroupData[{
Cell[91930, 2225, 2836, 56, 174, "Input",ExpressionUUID->"dc064637-8e2e-4e42-9a65-d6e815f7a26e"],
Cell[94769, 2283, 956, 18, 21, "Message",ExpressionUUID->"70e3720e-a305-4c7e-a7d4-cedaf34144e3"]
}, Open ]],
Cell[CellGroupData[{
Cell[95762, 2306, 1185, 25, 53, "Input",ExpressionUUID->"15aed986-338b-4a62-a1f4-d015cf3e9355"],
Cell[96950, 2333, 7496, 169, 230, "Output",ExpressionUUID->"318c94c7-f970-41f1-9c2a-64db12eab69e"]
}, Open ]],
Cell[CellGroupData[{
Cell[104483, 2507, 462, 10, 119, "Input",ExpressionUUID->"1c1575ca-b9c2-4a49-8cf5-d07a0c1017d1"],
Cell[104948, 2519, 273, 5, 34, "Output",ExpressionUUID->"dc661623-b324-4ced-bc58-c35c3d8c47c0"]
}, Open ]],
Cell[CellGroupData[{
Cell[105258, 2529, 181, 3, 30, "Input",ExpressionUUID->"5c95083e-ed9c-4ef0-a3ee-26fcf9cd05dd"],
Cell[105442, 2534, 1616, 44, 167, "Output",ExpressionUUID->"4fa8d5d9-d0a4-433f-8b6a-df452268a47a"]
}, Open ]],
Cell[CellGroupData[{
Cell[107095, 2583, 252, 7, 30, "Input",ExpressionUUID->"c0007b02-44f7-4fea-a08b-a30d94a9a9cf"],
Cell[107350, 2592, 171, 3, 34, "Output",ExpressionUUID->"c0e47910-92e6-425e-9a14-a4edcf0ac223"]
}, Open ]],
Cell[CellGroupData[{
Cell[107558, 2600, 2813, 74, 171, "Input",ExpressionUUID->"0f743e4c-b934-4047-824f-9118b8241f11"],
Cell[110374, 2676, 1038, 20, 100, "Message",ExpressionUUID->"dc7216b0-7063-4b23-a21f-d7faa13d3df8"],
Cell[111415, 2698, 1036, 20, 100, "Message",ExpressionUUID->"d04ee94c-6e60-45cc-a006-5c7e3a020a26"],
Cell[112454, 2720, 1036, 20, 100, "Message",ExpressionUUID->"641882e3-f811-41b6-8d28-21a125953a9b"],
Cell[113493, 2742, 538, 12, 21, "Message",ExpressionUUID->"7431081a-9c55-4cde-9a4b-8c2790867ab3"],
Cell[114034, 2756, 408, 7, 34, "Output",ExpressionUUID->"016d03f7-79e4-4384-b5d2-fa6ab1290706"]
}, Open ]],
Cell[114457, 2766, 1219, 30, 97, "Input",ExpressionUUID->"e906386f-8b34-484b-a21d-2bfb5ede0c16"],
Cell[115679, 2798, 171, 3, 30, "Input",ExpressionUUID->"15d8641a-f5e8-448f-b316-66015f59c3e6"],
Cell[CellGroupData[{
Cell[115875, 2805, 1711, 47, 198, "Input",ExpressionUUID->"d912e9d8-eef8-487c-8990-f27d991248fe"],
Cell[117589, 2854, 8295, 154, 274, "Output",ExpressionUUID->"ce4d45c0-89cc-4130-a3f6-d8f08490f991"]
}, Open ]],
Cell[CellGroupData[{
Cell[125921, 3013, 2686, 63, 201, "Input",ExpressionUUID->"f608ea82-1ded-4cf2-bd1f-900e70ed761a"],
Cell[128610, 3078, 1594, 27, 47, "Message",ExpressionUUID->"75717696-4cdf-47f7-9813-91eaa3ce1b08"],
Cell[130207, 3107, 29625, 603, 256, "Output",ExpressionUUID->"e2fac04f-3d6f-429d-b48c-ad6fd8006e6d"]
}, Open ]],
Cell[CellGroupData[{
Cell[159869, 3715, 282, 6, 30, "Input",ExpressionUUID->"2318596e-79a3-4757-92db-6dbc40672c71"],
Cell[160154, 3723, 12851, 305, 236, "Output",ExpressionUUID->"f009646b-1bd8-4671-9fbd-0177f292755f"]
}, Open ]],
Cell[CellGroupData[{
Cell[173042, 4033, 321, 7, 30, "Input",ExpressionUUID->"006bbc42-4350-4701-916b-12c46a414c41"],
Cell[173366, 4042, 1421, 43, 60, "Output",ExpressionUUID->"ce5323a2-df69-4a10-b0ff-e0cc96b8dd81"]
}, Open ]],
Cell[CellGroupData[{
Cell[174824, 4090, 2364, 57, 163, "Input",ExpressionUUID->"27eea9ee-2a5d-4f05-8734-d219fc426001"],
Cell[177191, 4149, 1428, 23, 34, "Output",ExpressionUUID->"4c1c7f2e-bd98-496f-9c19-5c2f5984d5e3"]
}, Open ]],
Cell[178634, 4175, 295, 7, 30, "Input",ExpressionUUID->"02602239-d318-4b4c-bca2-75a6959e28e9"],
Cell[CellGroupData[{
Cell[178954, 4186, 587, 17, 30, "Input",ExpressionUUID->"74557ec2-7320-4358-b59b-b60f052605f6"],
Cell[179544, 4205, 310, 6, 34, "Output",ExpressionUUID->"5a4cb81a-c140-4840-ab25-fcd2c3822afe"]
}, Open ]],
Cell[CellGroupData[{
Cell[179891, 4216, 377, 12, 30, "Input",ExpressionUUID->"f8217cbb-10df-45d3-9a07-59dd1f45b1fb"],
Cell[180271, 4230, 170, 3, 34, "Output",ExpressionUUID->"5d02ac43-daee-40d0-9a12-41e167c67112"]
}, Open ]],
Cell[CellGroupData[{
Cell[180478, 4238, 2388, 48, 119, "Input",ExpressionUUID->"4487704b-a752-4a59-8e06-93cfdcf2efa9"],
Cell[182869, 4288, 613, 13, 39, "Message",ExpressionUUID->"af143904-6bad-49cc-81b2-d5813c06694c"],
Cell[183485, 4303, 613, 13, 39, "Message",ExpressionUUID->"bda19aa9-38d2-4d49-b9ef-45065324db9e"]
}, Open ]],
Cell[CellGroupData[{
Cell[184135, 4321, 284, 7, 30, "Input",ExpressionUUID->"4fc284a7-247e-45dd-9def-6554eb5075ad"],
Cell[184422, 4330, 224, 5, 50, "Output",ExpressionUUID->"9f08c712-4807-4c97-a78d-e18a03a1e257"]
}, Open ]],
Cell[CellGroupData[{
Cell[184683, 4340, 3237, 76, 222, "Input",ExpressionUUID->"2144109e-e31f-4853-8a4e-968e7e738bbc"],
Cell[187923, 4418, 21936, 481, 240, "Output",ExpressionUUID->"e3c25879-f0a8-4cd6-b252-d92d1b076630"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
Cell[209908, 4905, 157, 3, 54, "Subsection",ExpressionUUID->"cdc09ea8-ade6-4896-b063-562be8bbbca8"],
Cell[210068, 4910, 1394, 38, 188, "Input",ExpressionUUID->"3f50dd46-6eed-4256-a18b-bff8375d74be"],
Cell[211465, 4950, 3717, 78, 515, "Input",ExpressionUUID->"3016f397-5fed-4501-9480-60f289d4409c"],
Cell[215185, 5030, 2136, 42, 317, "Input",ExpressionUUID->"8e932e8b-6094-421f-be13-f54f0ea7fcd5"],
Cell[CellGroupData[{
Cell[217346, 5076, 876, 24, 54, "Input",ExpressionUUID->"7c7d52e8-9a9d-43ff-bbe2-4f27f6eeb21c"],
Cell[218225, 5102, 537, 16, 66, "Output",ExpressionUUID->"e17c4ecd-af4c-4510-9e0f-3d8a67b46fca"]
}, Open ]],
Cell[CellGroupData[{
Cell[218799, 5123, 913, 26, 78, "Input",ExpressionUUID->"1a5fa001-90f8-4da6-8fb2-8b6d7fe8e912"],
Cell[219715, 5151, 1026, 33, 130, "Output",ExpressionUUID->"9e4a322a-0ddf-4014-b126-533b97933a88"]
}, Open ]],
Cell[CellGroupData[{
Cell[220778, 5189, 432, 9, 30, "Input",ExpressionUUID->"62a40c9d-3e4b-46d9-bc10-e88f469ddd29"],
Cell[221213, 5200, 422, 12, 57, "Output",ExpressionUUID->"6a3e1571-605d-43ce-a5a8-e9a2f95473f9"]
}, Open ]],
Cell[CellGroupData[{
Cell[221672, 5217, 602, 15, 55, "Input",ExpressionUUID->"9fa92faa-52c1-45d2-8e27-518aaa573a8c"],
Cell[222277, 5234, 295, 8, 34, "Output",ExpressionUUID->"b0161c8d-785f-4827-8130-565dc8db072c"]
}, Open ]],
Cell[CellGroupData[{
Cell[222609, 5247, 929, 22, 57, "Input",ExpressionUUID->"8160d41e-e2fe-4501-a0cc-4bee02a6013e"],
Cell[223541, 5271, 300, 8, 34, "Output",ExpressionUUID->"13cd32c8-68c6-45b7-bc63-b9747c47c3ee"]
}, Open ]],
Cell[CellGroupData[{
Cell[223878, 5284, 217, 4, 30, "Input",ExpressionUUID->"38780c62-92d3-4f84-a60b-cebcdc63edca"],
Cell[224098, 5290, 194, 3, 34, "Output",ExpressionUUID->"fe929862-edf7-4527-b33b-7be519249cca"]
}, Open ]],
Cell[CellGroupData[{
Cell[224329, 5298, 328, 8, 30, "Input",ExpressionUUID->"a7a65a08-ed8f-4d4c-aa84-764c1a0c8397"],
Cell[224660, 5308, 444, 14, 60, "Output",ExpressionUUID->"3c5c8bff-600d-4f06-b9e0-1f7429d3853c"]
}, Open ]],
Cell[CellGroupData[{
Cell[225141, 5327, 878, 24, 75, "Input",ExpressionUUID->"34573480-ca9c-4dd3-9863-c874ae134baa"],
Cell[226022, 5353, 2262, 67, 139, "Output",ExpressionUUID->"c744e84f-18d9-4a00-8e63-7ff209f5284d"]
}, Open ]],
Cell[CellGroupData[{
Cell[228321, 5425, 208, 4, 30, "Input",ExpressionUUID->"689d4aa1-ce6e-4221-b7e5-2fa4b7afc0e3"],
Cell[228532, 5431, 201, 3, 34, "Output",ExpressionUUID->"b0adfbb4-22ce-41de-aaf4-d65682dcedcb"]
}, Open ]],
Cell[CellGroupData[{
Cell[228770, 5439, 1129, 31, 141, "Input",ExpressionUUID->"4e78d576-9845-4b65-8e96-540e735f1446"],
Cell[229902, 5472, 223, 4, 34, "Output",ExpressionUUID->"494153f6-bbd5-4a4f-a4c7-cc6d704e536b"]
}, Open ]],
Cell[CellGroupData[{
Cell[230162, 5481, 954, 27, 97, "Input",ExpressionUUID->"d3096af1-2775-4657-9e81-324c4fa2e517"],
Cell[231119, 5510, 1640, 44, 167, "Output",ExpressionUUID->"3d5942c6-68f9-4180-869d-70ecf4744cd8"]
}, Open ]],
Cell[CellGroupData[{
Cell[232796, 5559, 1505, 39, 97, "Input",ExpressionUUID->"1d942ea3-e06f-4802-a1f4-80cbfb2569f4"],
Cell[234304, 5600, 9594, 229, 422, "Output",ExpressionUUID->"8ba4adba-a9be-4b56-9b95-37d959fdc6c0"]
}, Open ]],
Cell[CellGroupData[{
Cell[243935, 5834, 1626, 48, 126, "Input",ExpressionUUID->"5a73b7a0-3266-4057-91ba-556ec07c67a6"],
Cell[245564, 5884, 247, 6, 34, "Output",ExpressionUUID->"c1e36ac2-9ed0-4061-8eff-483bd2738794"]
}, Open ]],
Cell[CellGroupData[{
Cell[245848, 5895, 157, 4, 30, "Input",ExpressionUUID->"518ad87e-2135-4bdc-81e8-f64963b6cc8a"],
Cell[246008, 5901, 172, 3, 34, "Output",ExpressionUUID->"a31d08bd-9546-4d07-9e9c-39e4a31f17fa"]
}, Open ]],
Cell[CellGroupData[{
Cell[246217, 5909, 195, 5, 48, "Input",ExpressionUUID->"7fa25fc6-5fd6-422a-8392-69fcf55fea7f"],
Cell[246415, 5916, 176, 4, 50, "Output",ExpressionUUID->"6af3b82a-1aa4-44e0-ba1a-dd75a2b5a6b8"]
}, Open ]],
Cell[CellGroupData[{
Cell[246628, 5925, 265, 6, 30, "Input",ExpressionUUID->"d1054e1d-9bd0-4e36-8d5b-92a10b933d77"],
Cell[246896, 5933, 175, 4, 50, "Output",ExpressionUUID->"d6117ff3-1da2-4298-bd05-50d86ede4c8b"]
}, Open ]],
Cell[CellGroupData[{
Cell[247108, 5942, 1053, 30, 45, "Input",ExpressionUUID->"7426b534-401e-4fa0-8061-9439eb1d91b5"],
Cell[248164, 5974, 2126, 66, 105, "Output",ExpressionUUID->"2b0dedfb-4a98-4ce1-8f61-5ef56663e799"]
}, Open ]],
Cell[CellGroupData[{
Cell[250327, 6045, 3918, 91, 193, "Input",ExpressionUUID->"3c6ba91d-5ea8-49a9-a282-1f4fe8806c1f"],
Cell[254248, 6138, 513, 11, 39, "Message",ExpressionUUID->"7eb26435-2b38-4b12-b4f5-bca15030e52a"],
Cell[254764, 6151, 513, 11, 39, "Message",ExpressionUUID->"04dae847-246f-4d3a-9785-2dcefdaceb3a"],
Cell[255280, 6164, 513, 11, 39, "Message",ExpressionUUID->"2daee2ea-701e-47f5-aa8b-8dbe7c385982"],
Cell[255796, 6177, 486, 10, 21, "Message",ExpressionUUID->"190652fb-dcfa-4580-a6ac-5929fb170980"],
Cell[256285, 6189, 1183, 18, 34, "Output",ExpressionUUID->"c76396f7-a60e-40ab-b8bb-e4e5c7660888"]
}, Open ]],
Cell[CellGroupData[{
Cell[257505, 6212, 574, 12, 30, "Input",ExpressionUUID->"6ad09553-4096-44f3-8878-5e1b2555e37a"],
Cell[258082, 6226, 1166, 31, 69, "Output",ExpressionUUID->"10921878-5a5a-476d-9cbd-f74ffe76bf1a"]
}, Open ]],
Cell[CellGroupData[{
Cell[259285, 6262, 1290, 30, 97, "Input",ExpressionUUID->"d4f87218-54e0-4d31-b509-81565bccad31"],
Cell[260578, 6294, 513, 11, 62, "Message",ExpressionUUID->"6efb8af4-daa0-4ab6-9d57-3e4d5cc9c062"],
Cell[261094, 6307, 515, 11, 62, "Message",ExpressionUUID->"4284467a-dedf-4ce4-bb79-9253d21b10cb"],
Cell[261612, 6320, 513, 11, 62, "Message",ExpressionUUID->"4630b694-2c1e-4a8c-8dab-02f89234bfc1"],
Cell[262128, 6333, 479, 10, 21, "Message",ExpressionUUID->"2d3707d0-e9ee-4ee9-a34c-6f27a99f5851"]
}, Open ]],
Cell[CellGroupData[{
Cell[262644, 6348, 1347, 36, 150, "Input",ExpressionUUID->"cbc25c50-284c-4414-a76e-6bac202a2b72"],
Cell[263994, 6386, 884, 17, 39, "Message",ExpressionUUID->"19d00149-0c5a-419d-8994-16b8b6bdac6f"],
Cell[264881, 6405, 3222, 50, 163, "Message",ExpressionUUID->"fe5b2653-305d-493b-9071-dfe6c02cae4f"],
Cell[268106, 6457, 885, 17, 39, "Message",ExpressionUUID->"84fb567a-d1da-4aca-a98b-df0dd92be423"],
Cell[268994, 6476, 885, 17, 39, "Message",ExpressionUUID->"dbe0086c-7068-4d42-a52e-1862a7538583"],
Cell[269882, 6495, 852, 16, 21, "Message",ExpressionUUID->"fe6031e7-bd8a-4fdb-b0d2-58dcce9f2337"],
Cell[270737, 6513, 3292, 52, 146, "Message",ExpressionUUID->"7d90c214-2857-4c0b-8a5b-8ffbc832ca3e"],
Cell[274032, 6567, 34242, 699, 226, "Output",ExpressionUUID->"3cf4a07a-fed0-4044-b199-e9842ae674c7"]
}, Open ]],
Cell[CellGroupData[{
Cell[308311, 7271, 3469, 70, 206, "Input",ExpressionUUID->"78a8ace5-821d-4d27-b2d7-d226876ff9fe"],
Cell[311783, 7343, 1630, 25, 34, "Output",ExpressionUUID->"a03c15e1-df0a-4565-a778-0eea92ee7344"]
}, Open ]],
Cell[CellGroupData[{
Cell[313450, 7373, 524, 16, 33, "Input",ExpressionUUID->"aee1692a-103c-499c-bab0-06e242ce4783"],
Cell[313977, 7391, 5000, 101, 238, "Output",ExpressionUUID->"45c68f1f-afe1-43f1-adde-36fe41dfe61e"]
}, Open ]],
Cell[318992, 7495, 1824, 37, 75, "Input",ExpressionUUID->"d9b69c96-1d8e-4618-8be3-d41d2612def5"],
Cell[CellGroupData[{
Cell[320841, 7536, 217, 4, 30, "Input",ExpressionUUID->"e6b303b9-7d8c-4eed-b0e1-3aee993f2985"],
Cell[321061, 7542, 190, 4, 34, "Output",ExpressionUUID->"7345dbd1-f06a-40f2-9ad9-985c3c04cab9"]
}, Open ]],
Cell[CellGroupData[{
Cell[321288, 7551, 5218, 127, 365, "Input",ExpressionUUID->"be4115a5-fb4b-4996-ad0a-1dbaa8b4dc69"],
Cell[326509, 7680, 37270, 750, 226, "Output",ExpressionUUID->"a786cd8f-99d1-4200-9de1-dcfde6d2aa4a"]
}, Open ]],
Cell[CellGroupData[{
Cell[363816, 8435, 2616, 75, 124, "Input",ExpressionUUID->"d78d8e45-ddcc-4f90-827a-9b1f2bd45e93"],
Cell[366435, 8512, 14742, 298, 234, "Output",ExpressionUUID->"250dc79e-ac81-49b3-bf39-24a3546a0952"]
}, Open ]],
Cell[CellGroupData[{
Cell[381214, 8815, 399, 11, 33, "Input",ExpressionUUID->"5d351909-4645-464e-813a-59d5c13efedd"],
Cell[381616, 8828, 564, 18, 69, "Output",ExpressionUUID->"b1890e13-2fa3-4855-9d6a-c951799c96be"]
}, Open ]],
Cell[CellGroupData[{
Cell[382217, 8851, 1179, 31, 33, "Input",ExpressionUUID->"08a9e4e5-d4f3-4d1a-9a97-38433efd9217"],
Cell[383399, 8884, 1321, 39, 75, "Output",ExpressionUUID->"e86ea455-58c1-492c-8546-efa6d9dbdf3f"]
}, Open ]],
Cell[CellGroupData[{
Cell[384757, 8928, 457, 11, 30, "Input",ExpressionUUID->"3016f494-e578-49f8-971d-193f4907b685"],
Cell[385217, 8941, 243, 4, 34, "Output",ExpressionUUID->"b471de6d-b0f2-4270-afca-6a8f78f1b8b6"]
}, Open ]],
Cell[CellGroupData[{
Cell[385497, 8950, 336, 7, 30, "Input",ExpressionUUID->"0ed84416-ee8e-4d04-98b4-781589a53004"],
Cell[385836, 8959, 271, 4, 34, "Output",ExpressionUUID->"8cce44e3-a017-41fa-811d-fee0e541745a"]
}, Open ]],
Cell[CellGroupData[{
Cell[386144, 8968, 400, 11, 49, "Input",ExpressionUUID->"14d31467-478f-475c-ab49-80323ec026bf"],
Cell[386547, 8981, 343, 9, 54, "Output",ExpressionUUID->"4aab1022-c97b-4b7a-88a2-85667c337d47"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
Cell[386939, 8996, 161, 3, 54, "Subsection",ExpressionUUID->"7280a427-4161-4a29-9095-3b4597dddbfb"],
Cell[387103, 9001, 930, 30, 52, "Input",ExpressionUUID->"7b62b818-ac58-492a-bc0d-40e12d261bb1"],
Cell[CellGroupData[{
Cell[388058, 9035, 561, 14, 30, "Input",ExpressionUUID->"bfec9b16-3425-4418-8891-3503a1b9a26a"],
Cell[388622, 9051, 518, 16, 60, "Output",ExpressionUUID->"475abb7b-d038-4afa-bb3f-fc5e2e84764b"]
}, Open ]],
Cell[389155, 9070, 376, 7, 30, "Input",ExpressionUUID->"7625b2fc-0acc-473e-a425-29f248935ea5"],
Cell[CellGroupData[{
Cell[389556, 9081, 2381, 64, 59, "Input",ExpressionUUID->"aea7d906-5afc-4a15-b000-27d193b862d8"],
Cell[391940, 9147, 1090, 23, 59, "Output",ExpressionUUID->"15fc10dc-08f3-4772-a7c8-a56d13cbc75a"]
}, Open ]],
Cell[393045, 9173, 2335, 67, 57, "Input",ExpressionUUID->"2a603e3e-a825-4743-82a4-a7106868ad2f"],
Cell[395383, 9242, 2078, 58, 57, "Input",ExpressionUUID->"e3fa7126-bda4-48f3-879c-bb44b9ae71fd"],
Cell[CellGroupData[{
Cell[397486, 9304, 206, 6, 33, "Input",ExpressionUUID->"a84a3fb0-9109-46e9-b531-a3e0de745ee7"],
Cell[397695, 9312, 174, 3, 34, "Output",ExpressionUUID->"7950bc17-85e3-403a-85fe-93fff3a55c35"]
}, Open ]],
Cell[CellGroupData[{
Cell[397906, 9320, 810, 20, 30, "Input",ExpressionUUID->"41f2f4cf-a5be-4145-8664-24934d077dd3"],
Cell[398719, 9342, 816, 15, 34, "Output",ExpressionUUID->"ed08a9d7-eb20-44b2-b971-1c6824d964fb"]
}, Open ]],
Cell[399550, 9360, 1125, 30, 53, "Input",ExpressionUUID->"0caa96d3-26a4-4b90-9dd5-132b84d3bcff"],
Cell[CellGroupData[{
Cell[400700, 9394, 2427, 65, 58, "Input",ExpressionUUID->"ba11040c-f390-4eac-baad-a494f12f7898"],
Cell[403130, 9461, 615, 13, 21, "Message",ExpressionUUID->"823a51eb-2d04-4760-b4e3-891dff283d71"],
Cell[403748, 9476, 616, 13, 21, "Message",ExpressionUUID->"61a85bbe-4396-4295-ae54-57e768176b7d"],
Cell[404367, 9491, 614, 13, 21, "Message",ExpressionUUID->"2962eb7b-21f0-4bfd-b1f8-71eb373585d0"],
Cell[404984, 9506, 581, 12, 21, "Message",ExpressionUUID->"4307c936-a7be-497a-a5a2-94ff854d87f2"]
}, Open ]],
Cell[CellGroupData[{
Cell[405602, 9523, 1613, 41, 124, "Input",ExpressionUUID->"70a2b2a9-8154-4972-a106-cc2749585214"],
Cell[407218, 9566, 1126, 20, 21, "Message",ExpressionUUID->"113b1e76-a598-4154-9886-9784918f43f8"],
Cell[408347, 9588, 4440, 66, 93, "Message",ExpressionUUID->"c3b8e20d-bcd6-4403-8de6-5eaac1e36d4c"],
Cell[412790, 9656, 1126, 20, 21, "Message",ExpressionUUID->"09e2ae1d-a31e-4645-830b-cb559bc5cc17"],
Cell[413919, 9678, 1126, 20, 21, "Message",ExpressionUUID->"94f5e5aa-6ca0-4864-a599-f525d7aabd4d"],
Cell[415048, 9700, 1093, 19, 21, "Message",ExpressionUUID->"08923039-8619-4c43-953c-d5df09fa34c7"],
Cell[416144, 9721, 3826, 58, 74, "Message",ExpressionUUID->"36ab737c-0084-4671-8bb0-c7b96ee8c28f"],
Cell[419973, 9781, 192855, 3308, 226, "Output",ExpressionUUID->"18319bec-61eb-4119-a854-87bc66e11267"]
}, Open ]],
Cell[612843, 13092, 1528, 45, 52, "Input",ExpressionUUID->"029c50a5-aec2-42c8-ac11-3a4858720a4d"],
Cell[CellGroupData[{
Cell[614396, 13141, 628, 14, 30, "Input",ExpressionUUID->"454b880c-47eb-4e4d-8978-3de860e692a7"],
Cell[615027, 13157, 316, 6, 34, "Output",ExpressionUUID->"cba38efa-fcdc-4bb8-942d-1e8a7104663e"]
}, Open ]],
Cell[CellGroupData[{
Cell[615380, 13168, 322, 6, 30, "Input",ExpressionUUID->"f9f845e9-c36f-4e5a-bfe9-292fc44831d1"],
Cell[615705, 13176, 196, 3, 34, "Output",ExpressionUUID->"f32bd7b5-2803-49b2-b2ee-6f88c2b73632"]
}, Open ]],
Cell[CellGroupData[{
Cell[615938, 13184, 206, 3, 30, "Input",ExpressionUUID->"98b204ed-d23c-41e5-b6fe-c9d0386b49c4"],
Cell[616147, 13189, 172, 3, 34, "Output",ExpressionUUID->"14b1747b-7506-46a2-b1a6-6f6e681f9806"]
}, Open ]],
Cell[CellGroupData[{
Cell[616356, 13197, 2451, 64, 59, "Input",ExpressionUUID->"df638158-aa8b-4fba-b5d3-00f11ac33898"],
Cell[618810, 13263, 1237, 33, 52, "Output",ExpressionUUID->"23c1b6c7-ab06-4221-bdce-dc59bf15e488"]
}, Open ]],
Cell[620062, 13299, 2399, 67, 57, "Input",ExpressionUUID->"c0c46965-f82b-4e8b-88ed-f4f28f2c67b6"],
Cell[622464, 13368, 2032, 55, 57, "Input",ExpressionUUID->"8adb6e30-20f5-45cb-9c55-4ec95d9bb1e5"],
Cell[CellGroupData[{
Cell[624521, 13427, 886, 21, 30, "Input",ExpressionUUID->"82226aa9-8b56-41bc-a924-e2b08acd3ef1"],
Cell[625410, 13450, 763, 14, 34, "Output",ExpressionUUID->"8b88c908-da54-4063-a248-e83bf5464ee1"]
}, Open ]],
Cell[626188, 13467, 1215, 32, 53, "Input",ExpressionUUID->"237d7286-580d-4ed0-8a35-0ecabe3963ad"],
Cell[CellGroupData[{
Cell[627428, 13503, 2552, 67, 58, "Input",ExpressionUUID->"0abc4e78-2b2b-44c2-b76e-2756938af114"],
Cell[629983, 13572, 494, 11, 21, "Message",ExpressionUUID->"d5e12713-0108-40d9-ab51-55f3f3cc5e76"],
Cell[630480, 13585, 493, 11, 21, "Message",ExpressionUUID->"00de938a-94f9-45ea-9088-62843a9a493f"],
Cell[630976, 13598, 493, 11, 21, "Message",ExpressionUUID->"295fa1ec-86a9-4d76-b506-82d387a4b171"],
Cell[631472, 13611, 458, 10, 21, "Message",ExpressionUUID->"ba543359-6764-408c-9c9e-fd4261aef828"]
}, Open ]],
Cell[CellGroupData[{
Cell[631967, 13626, 2668, 67, 126, "Input",ExpressionUUID->"ba8964ad-1f29-4021-8973-9b17293caeb3"],
Cell[634638, 13695, 1326, 23, 21, "Message",ExpressionUUID->"2dd699f1-8e13-4516-9a3b-94be0b77af32"],
Cell[635967, 13720, 2208, 35, 50, "Message",ExpressionUUID->"048f8f30-b4bd-4b7a-8c04-81815146eb59"],
Cell[638178, 13757, 1871, 32, 50, "Message",ExpressionUUID->"5b9502a7-8a5b-4717-89cd-745cff8faddd"],
Cell[640052, 13791, 4251, 63, 88, "Message",ExpressionUUID->"4f6b3384-f093-44d4-8e9b-4c713449ca2e"],
Cell[644306, 13856, 1295, 22, 21, "Message",ExpressionUUID->"e60795cf-67d6-41ad-8827-2e5407299305"],
Cell[645604, 13880, 1326, 23, 21, "Message",ExpressionUUID->"a8d095ae-2cc3-4dab-ab2e-16050fe76f30"],
Cell[646933, 13905, 1326, 23, 21, "Message",ExpressionUUID->"b80aaa28-cd90-493d-ab93-5f4473e90377"],
Cell[648262, 13930, 1291, 22, 21, "Message",ExpressionUUID->"8e890619-0fd5-48db-87ea-ca5bdbd7894b"],
Cell[649556, 13954, 354325, 5939, 224, 334718, 5618, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"31f3dd4d-68a9-4998-b515-ec7c6494ad58"]
}, Open ]]
}, Closed]],
Cell[CellGroupData[{
Cell[1003930, 19899, 155, 3, 38, "Subsection",ExpressionUUID->"ee3f8335-dfbb-447d-b74d-ca724911a8de"],
Cell[CellGroupData[{
Cell[1004110, 19906, 2970, 57, 207, "Input",ExpressionUUID->"51366330-d057-48f8-9a4f-bea2e8c09b22"],
Cell[1007083, 19965, 297, 4, 34, "Output",ExpressionUUID->"01e9aedf-2943-4d4c-8e12-09c64a2dffec"]
}, Open ]],
Cell[CellGroupData[{
Cell[1007417, 19974, 3729, 77, 229, "Input",ExpressionUUID->"19dd7b18-acbf-4e21-a357-947e4c32b028"],
Cell[1011149, 20053, 349, 5, 34, "Output",ExpressionUUID->"4e6c8948-7b1d-4a98-ba01-88951e58928c"]
}, Open ]],
Cell[CellGroupData[{
Cell[1011535, 20063, 2956, 57, 207, "Input",ExpressionUUID->"8fa0e622-17c9-4322-8a23-47f6be78237e"],
Cell[1014494, 20122, 308, 5, 34, "Output",ExpressionUUID->"fe69debf-5b6a-48a7-898a-611e1adb6952"]
}, Open ]],
Cell[1014817, 20130, 810, 21, 30, "Input",ExpressionUUID->"20ec37ce-3a9d-4b7d-9e25-f6e99d0946eb"],
Cell[CellGroupData[{
Cell[1015652, 20155, 794, 20, 33, "Input",ExpressionUUID->"e43c19d7-2de8-4736-aa5f-af068af51462"],
Cell[1016449, 20177, 28165, 545, 239, "Output",ExpressionUUID->"d07e6736-1972-4953-8b4f-169b4bad024d"]
}, Open ]],
Cell[1044629, 20725, 1446, 32, 81, "Input",ExpressionUUID->"d9c6b155-8a55-440c-a1b4-bed783231bdc"],
Cell[1046078, 20759, 814, 21, 30, "Input",ExpressionUUID->"15f81a35-e3e5-40e4-9eaa-ed0673a08c44"],
Cell[CellGroupData[{
Cell[1046917, 20784, 739, 20, 33, "Input",ExpressionUUID->"6ef84e9f-25b9-4904-8d1d-a36d09e5ab75"],
Cell[1047659, 20806, 2458, 39, 71, "Message",ExpressionUUID->"0ce18cfb-5e54-4e7f-9f6b-06b05e676f63"],
Cell[1050120, 20847, 25046, 459, 239, "Output",ExpressionUUID->"bf884e82-e95e-4a2a-a90f-bd968b1ffc5d"]
}, Open ]],
Cell[CellGroupData[{
Cell[1075203, 21311, 1419, 31, 81, "Input",ExpressionUUID->"1723dcdb-16db-4547-8a63-d03d2086b047"],
Cell[1076625, 21344, 2579, 41, 71, "Message",ExpressionUUID->"7d2fb112-9387-4eaf-ba45-1397b907f1c8"]
}, Open ]]
}, Open ]]
}
]
*)
|